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. Give 7*o(y) + 2*w(y).
y**3 - y
Suppose 5*r - 3*y + 27 = 0, 2*r + 4*y + 9 = 7*y. Let o(w) = 4*w**3 + w - 3. Let m(q) = 3*q**3 - 2. Calculate r*m(t) + 4*o(t).
-2*t**3 + 4*t
Let o(g) = 2*g**2 + g + 2. Suppose -1 = -2*x + 1. Let p = x - -1. Let z(m) = -1 + 0*m**p + m**2 - 2*m**2. Give 2*o(u) + 6*z(u).
-2*u**2 + 2*u - 2
Let m(v) = 11*v**2 - 8. Suppose -21 + 4 = -j. Suppose -j = 2*k - 1. Let d(x) = 7*x**2 - 5. Determine k*d(y) + 5*m(y).
-y**2
Let l(n) = 4*n + 3. Let m(u) = 7*u + 5. Let z(a) = -a**2 + 8*a - 9. Let c be z(8). Let w be (-3)/2*(-18)/c. Determine w*m(f) + 5*l(f).
-f
Let m(b) = 7*b**2 + 3. Suppose -6*a + 4*i = -5*a - 12, 155 = 5*a - i. Let o(u) = 76*u**2 + 32. Determine a*m(l) - 3*o(l).
-4*l**2
Let y(d) be the first derivative of d**3/3 + d**2/2 - 7*d - 41. Let c(j) = j - 6. Determine 5*c(p) - 4*y(p).
-4*p**2 + p - 2
Let c(n) = -67*n**3 + 6*n**2 - 6*n. Let l(s) = -671*s**3 + 61*s**2 - 61*s. Calculate -61*c(t) + 6*l(t).
61*t**3
Let y(j) = -j**3 - j**2 - j. Let z(i) = 4*i**3 + 3*i**2 + 3*i. Let r = 99 - 96. Give r*y(g) + z(g).
g**3
Let s(l) = -12*l**2 - 4*l. Let k(y) = 6*y**2 + 2*y. Give 10*k(n) + 4*s(n).
12*n**2 + 4*n
Let w(m) = -2*m**2 - 5. Let z be ((-2)/6)/((-1)/6). Let h(x) = -x**z - 4 + 5 - 4. Let l(y) = y**2 - 3*y - 7. Let b be l(5). Calculate b*w(c) - 5*h(c).
-c**2
Let c(z) = -2*z**3. Let k = 16 + -18. Let d(x) = -10*x**3. Determine k*d(v) + 11*c(v).
-2*v**3
Let n = -8 - -12. Let k(j) = 2*j. Let o(d) = 4*d. Let h(p) = 4*p. Let y(x) = 5*h(x) - 4*o(x). Give n*y(q) - 9*k(q).
-2*q
Let k(d) = -1. Let z(h) = h - 3. Let r = 2 + -1. Let w = r + -3. What is w*z(i) + 5*k(i)?
-2*i + 1
Let z(b) = -b**3 + b + 1. Let o(v) = 27*v**3 - 3*v - 3. Give o(g) + 3*z(g).
24*g**3
Let p(w) = 8*w**2 - 12*w + 1. Let r(u) = 9*u**2 - 13*u + 1. What is 7*p(g) - 6*r(g)?
2*g**2 - 6*g + 1
Let r(s) = 55*s. Let d(p) = -18*p. Calculate -8*d(c) - 3*r(c).
-21*c
Let u(r) = 38*r - 1. Let x(p) = 115*p - 4. Determine -7*u(h) + 2*x(h).
-36*h - 1
Let x(l) be the first derivative of 2*l**2 + 1. Let h(i) be the third derivative of 5*i**4/24 + 12*i**2. Calculate 2*h(q) - 3*x(q).
-2*q
Let c(m) = -1. Let d(k) = k**2 + k - 2. Give -4*c(p) + 3*d(p).
3*p**2 + 3*p - 2
Let w(h) = 6*h**3 - 3*h**2 + 3*h. Let d(o) = o**3 + o**2 - o. Calculate -6*d(x) - 2*w(x).
-18*x**3
Let j(f) = -2*f**3 - 3*f**2 + 3*f + 2. Let w(v) = v**2 - v - 1. Give -j(s) - 2*w(s).
2*s**3 + s**2 - s
Let o be ((-15)/(-3) + -3)*4. Let u = o + -13. Let l(q) = -4*q**3 - 5*q**2 + 5*q + 5. Let y(t) = -3*t**3 - 4*t**2 + 4*t + 4. What is u*y(x) + 4*l(x)?
-x**3
Suppose 0 = -2*x - 2*i - 4, -5*x - 26 = i. Let o(r) = r + 4. Let d(s) = s + 3. Calculate x*d(j) + 5*o(j).
-j + 2
Let p(n) = -2*n - 3. Let s(m) = -m**2 + 2*m + 2. Give 2*p(j) + 3*s(j).
-3*j**2 + 2*j
Let p(j) = -27*j**3 + 9*j**2 + 9*j - 9. Let f(x) = -x**3 + x**2 + x - 1. What is 9*f(q) - p(q)?
18*q**3
Let t(v) = -v. Let j(d) = -7*d**3 + 6*d. Calculate j(h) + 6*t(h).
-7*h**3
Let d(x) = -25*x**2 - 40*x - 40. Let y(v) be the first derivative of 2*v**3/3 + 3*v**2/2 + 3*v + 14. Calculate -3*d(h) - 40*y(h).
-5*h**2
Let c(b) be the third derivative of b**6/120 - b**3/3 - b**2. Let l(p) = -3*p**3 + 5. Give -5*c(n) - 2*l(n).
n**3
Let w(g) = 16 - 14*g - 1 + 2. Let y(v) = v + 4. Let c(a) = 8*a + 6. Let m(q) = -c(q) + 3*y(q). Calculate 17*m(i) - 6*w(i).
-i
Suppose 3*a - 4*o - 16 = 5*a, -4*a = -4*o - 28. Let i(x) = x + 11. Let j be i(-8). Let g(t) = -4*t - 2. Let u(c) = 7 + 3*c - 5 + 0. What is a*g(p) + j*u(p)?
p + 2
Let b(t) = 5*t - 3. Let x(o) = 14*o - 8. Let j be 66/4*(-4)/(-6). Let m(w) = -w - 11. Let u = -11 + 4. Let h be m(u). Give h*x(r) + j*b(r).
-r - 1
Let w(n) be the second derivative of -n**4/3 - 7*n**3/6 - 16*n. Let k(i) = -6*i**2 - 11*i. Let x = -7 + 15. Calculate x*w(h) - 5*k(h).
-2*h**2 - h
Let x(q) = -3*q + 1. Let s(k) = k - 4. Let o(m) = -2*s(m) + 6*x(m). Let z(c) = -7*c + 5. Give 4*o(g) - 11*z(g).
-3*g + 1
Let f(b) = 2*b**3 - b**2 - 5*b. Let i(y) = -y**3 + y**2 + 5*y - 1. Give 2*f(x) + 3*i(x).
x**3 + x**2 + 5*x - 3
Let a(o) be the second derivative of o**5/20 + o**4/3 - 2*o**3/3 - 3*o**2 + 3*o. Let f(j) = -3*j**3 - 11*j**2 + 11*j + 17. Give 17*a(k) + 6*f(k).
-k**3 + 2*k**2 - 2*k
Let z(w) = 11*w**2 + 11*w. Let a(q) = 7*q**2 + 2*q - 5. Let h(j) = -22*j**2 - 6*j + 16. Let i(r) = 16*a(r) + 5*h(r). Calculate 34*i(b) - 6*z(b).
2*b**2 + 2*b
Let k(t) = 13*t. Let n(o) = 7*o. What is -3*k(q) + 5*n(q)?
-4*q
Let g(w) = -3*w**2 + 2*w - 4. Let h(t) = 6*t**2 - 4*t + 8. Calculate 5*g(b) + 3*h(b).
3*b**2 - 2*b + 4
Let z(n) = -4*n - 3. Let m(g) = g**2 - 12*g - 11. Let i be m(13). Let s(v) = -9*v - 7. What is i*s(p) - 5*z(p)?
2*p + 1
Let q(u) = -3*u**3 + 3. Let k(m) = -m**3 + m + 1. Give 5*k(a) - q(a).
-2*a**3 + 5*a + 2
Let m(d) be the second derivative of d**3/6 - 2*d. Let c(x) = -2*x + 1. Give -c(z) + 2*m(z).
4*z - 1
Let i(o) = 3*o**3 + 2*o + 5. Let f(g) = 3*g**3 + 2*g + 6. What is -3*f(j) + 4*i(j)?
3*j**3 + 2*j + 2
Let g(k) = 2*k**2 - 3*k - 6. Let s(j) = j - 1. Calculate -g(v) - 4*s(v).
-2*v**2 - v + 10
Let x(i) = -i**3 - i**2 - i. Let u(l) = -l**3 + 2*l**2 + 3*l - 2. Calculate u(t) + 3*x(t).
-4*t**3 - t**2 - 2
Let o(r) = 2*r**3 - 3*r**2 + 3*r + 3. Let x(w) = 3*w**3 - 5*w**2 + 5*w + 5. Suppose 5*d + 12 = d. What is d*x(z) + 5*o(z)?
z**3
Suppose -4 + 0 = -4*h. Let k(v) = -2*v + 4. Let n(c) = 2*c**3 - 2*c**2 - c - 2. Let p be n(2). Let a(b) = 6*b + 0*b - 6*b - 1 + b. Give h*k(o) + p*a(o).
2*o
Let d(q) = -2*q - 5. Let b(c) be the third derivative of c**3/6 + 4*c**2. Calculate 3*b(v) + d(v).
-2*v - 2
Let g be 0 + 3 + 8/4. Let j be 4/(-10) + 27/5. Suppose -22 = d + g*r - r, 0 = j*d - 3*r - 5. Let x(l) = -2. Let q(m) = m**2 - m - 10. Give d*q(z) + 11*x(z).
-2*z**2 + 2*z - 2
Let b(f) be the first derivative of f + 1/2*f**2 - 1. Let k(g) = 1. Let r(i) = -4*i - 5. Let p(n) = -2*k(n) - r(n). Determine 14*b(m) - 4*p(m).
-2*m + 2
Let m(g) = 2*g**2 + 2. Let u(j) = -10*j. Let w be u(-1). Let v = w + -5. Let z(t) = -t**3 + 5*t**2 + 5. Give v*m(r) - 2*z(r).
2*r**3
Let z(n) = n**2 + n. Let h(a) = -9*a - 2. Determine -h(s) - 3*z(s).
-3*s**2 + 6*s + 2
Suppose -13*x = -32 + 6. Let z(d) = 2*d**2 + 2*d - 2. Let r(v) = -8*v**2 - 8*v + 9. Calculate x*r(g) + 9*z(g).
2*g**2 + 2*g
Let s(g) = -3*g**3 + 8*g**2 - 7*g. Let c(u) = -u**3 + 4*u**2 - 4*u. Determine 5*c(v) - 2*s(v).
v**3 + 4*v**2 - 6*v
Let k(m) = 15*m**3 - 6*m**2 + 4*m + 4. Let s(l) = -14*l**3 + 5*l**2 - 3*l - 3. Give 3*k(a) + 4*s(a).
-11*a**3 + 2*a**2
Let u(x) = -17*x + 19. Let s(t) = -17*t + 17. Let m(c) = 4*s(c) - 3*u(c). Let p(y) = -6*y + 4. Calculate -4*m(j) + 11*p(j).
2*j
Let p(r) be the third derivative of -r**3/2 - 2*r**2. Let o(h) be the second derivative of -h**3/6 - h**2 + 3*h + 1. Determine -3*o(g) + 2*p(g).
3*g
Let j(r) = -17*r**3 + 5*r**2 - 7*r. Let m(o) = 8*o**3 - 2*o**2 + 3*o. Determine 3*j(f) + 7*m(f).
5*f**3 + f**2
Let v(a) = -a**3 - 1. Suppose 2 = -0*w + w. Let l(m) = -m**3 + m**2 - 2*m - 2. Calculate w*v(y) - l(y).
-y**3 - y**2 + 2*y
Let z(a) be the first derivative of -2*a**3/3 + 2*a**2 + 3*a + 1. Let c(m) = 2*m - 9 - 11*m + 4*m**2 + 2 + 0*m**2. Calculate -3*c(u) - 7*z(u).
2*u**2 - u
Let u(r) = -42*r - 7. Let a(k) = -41*k - 6. Determine -7*a(v) + 6*u(v).
35*v
Let z(j) = j + 1. Let a(x) = 4*x + 2. Calculate -3*a(v) + 8*z(v).
-4*v + 2
Let f(t) = 6*t + 2. Let z(p) = -15*p - 6. Let s(a) = 10*a + 4. Let w(x) = 8*s(x) + 5*z(x). What is 6*f(l) - 7*w(l)?
l - 2
Suppose 0 = 2*d - 3*w + 7, 4*d + 22 = w - 3*w. Let r(s) = -5*s + 1. Suppose -3*v = 2*m - 12, -2*m = -0*v - v - 4. Let p(f) = -9*f + 1. What is d*r(c) + m*p(c)?
-2*c - 2
Let f(b) = 2*b**2 - 4. Let n(z) = 1 + 7*z**2 + 6*z**2 - 14*z**2. Determine f(t) + 4*n(t).
-2*t**2
Let l(c) be the third derivative of 0*c**4 + 0 + 1/3*c**3 + 0*c - 1/60*c**5 + 2*c**2. Suppose 0 = 2*v + 18 - 0. Let b(d) = 5*d**2 - 9. What is v*l(x) - 2*b(x)?
-x**2
Let w(j) = -j + 5. Let v(s) = s - 6. Let y be (1/2)/((-4)/(-40)). What is y*w(i) + 4*v(i)?
-i + 1
Suppose -6 = -a + 2*a. Let m(b) = b**2 + 4*b - 6. Let p(t) be the first derivative of t**3 + 11*t**2/2 - 17*t - 14. Calculate a*p(z) + 17*m(z).
-z**2 + 2*z
Let s(h) = -3*h**2 - 7*h - 31. Let d(n) = 2*n**2 + 5*n + 21. What is -7*d(u) - 5*s(u)?
u**2 + 8
Let s(a) be the second derivative of -4*a**3/3 - 3*a**2 - 4*a. Let w(i) = 14*i + 5. Let m(u) = 7*u + 3.
|
{
"pile_set_name": "DM Mathematics"
}
|
11/3 = 0?
-1/14, 22
Factor 4*g**3/5 - 1188*g**2/5 + 89964*g/5 - 259308/5.
4*(g - 147)**2*(g - 3)/5
Factor -2*s**3 - 1164*s**2 + 2334*s - 1168.
-2*(s - 1)**2*(s + 584)
Let 4*s**4 + 408*s**3 + 804*s**2 + 400*s = 0. What is s?
-100, -1, 0
Factor -2*b**2/3 - 88*b/3 + 30.
-2*(b - 1)*(b + 45)/3
Factor 2*q**5/13 - 270*q**3/13 - 540*q**2/13 + 9720*q/13 + 34992/13.
2*(q - 9)**2*(q + 6)**3/13
Factor -2*v**2 - 8*v/7.
-2*v*(7*v + 4)/7
Determine z so that z**2/8 + 777*z/4 - 389 = 0.
-1556, 2
Factor 4*x**3 + 16*x**2 + 12*x.
4*x*(x + 1)*(x + 3)
Let -k**2 - 42*k - 41 = 0. What is k?
-41, -1
Determine l, given that 5*l**5 - 5*l**4 - 25*l**3 + 25*l**2 + 20*l - 20 = 0.
-2, -1, 1, 2
Find w such that -4*w**5/7 - 12*w**4 - 432*w**3/7 = 0.
-12, -9, 0
Factor -12*k**3/7 - 1143*k**2/7 - 285*k/7.
-3*k*(k + 95)*(4*k + 1)/7
Find r, given that -12*r**5 - 116*r**4 - 104*r**3 + 528*r**2 + 608*r - 256 = 0.
-8, -2, 1/3, 2
Determine l, given that 14*l**5/3 + 220*l**4/3 - 64*l**3/3 = 0.
-16, 0, 2/7
Solve 160*v**2 + 44*v - 8 = 0 for v.
-2/5, 1/8
Suppose 5*n**5 - 60*n**4 - 220*n**3 + 2400*n**2 + 8000*n = 0. What is n?
-4, 0, 10
Factor 3*t**4 + 444*t**3 + 426*t**2 - 2196*t + 1323.
3*(t - 1)**2*(t + 3)*(t + 147)
Factor 12*f**4 + 51*f**3 - 912*f**2 - 231*f.
3*f*(f - 7)*(f + 11)*(4*f + 1)
Find h such that -3*h**4/4 - 33*h**3/4 - 18*h**2 + 27*h = 0.
-6, 0, 1
Factor -s**2/3 + 23*s/3 + 376.
-(s - 47)*(s + 24)/3
Factor 3*c**2 + 147*c + 774.
3*(c + 6)*(c + 43)
Factor -4*m**3 + 8*m**2 + 116*m + 168.
-4*(m - 7)*(m + 2)*(m + 3)
Factor 3*r**3 - 255*r**2 - 519*r - 261.
3*(r - 87)*(r + 1)**2
Factor 5*x**3 + 790*x**2 - 1595*x + 800.
5*(x - 1)**2*(x + 160)
Solve 78*y**2/5 + y/5 = 0 for y.
-1/78, 0
Determine d, given that -3*d**3 + 1770*d**2 - 3528*d = 0.
0, 2, 588
Factor 2*n**3 - 40*n**2 - 42*n.
2*n*(n - 21)*(n + 1)
Determine g so that g**3/7 + 58*g**2/7 + 16*g = 0.
-56, -2, 0
Find l, given that -2*l**3/9 + 10*l**2/9 - 8*l/9 = 0.
0, 1, 4
Factor q**3 + 3*q**2 - 10*q.
q*(q - 2)*(q + 5)
Factor 2*v**3 - 54*v**2 + 192*v - 184.
2*(v - 23)*(v - 2)**2
Solve -3*z**2/5 - 231*z + 3492/5 = 0 for z.
-388, 3
Suppose -4*b**2 - 28*b = 0. What is b?
-7, 0
Factor 2*i**3 + 58*i**2 - 560*i + 1184.
2*(i - 4)**2*(i + 37)
Let 36*m**5/5 + 1308*m**4/5 + 5152*m**3/5 + 5168*m**2/5 + 1536*m/5 = 0. What is m?
-32, -3, -2/3, 0
Find j such that j**5/3 + 8*j**4/3 - 32*j**3/3 + 14*j**2/3 + 31*j/3 - 22/3 = 0.
-11, -1, 1, 2
Solve 14*y**3/5 + 18*y**2/5 - 62*y/5 + 6 = 0.
-3, 5/7, 1
Factor r**3/2 + 11*r**2/2 + 13*r + 8.
(r + 1)*(r + 2)*(r + 8)/2
Determine i so that 4*i**5 + 68*i**4 + 376*i**3 + 704*i**2 - 128*i - 1024 = 0.
-8, -4, -2, 1
Factor -2*n**2/5 + 2*n/5 + 12.
-2*(n - 6)*(n + 5)/5
Solve 2*f**4/17 - 228*f**3/17 + 7144*f**2/17 - 2160*f + 46656/17 = 0 for f.
2, 4, 54
Factor -4*c**4 - 432*c**3 + 1324*c**2 - 888*c.
-4*c*(c - 2)*(c - 1)*(c + 111)
Let -36*c**4 - 172*c**3 + 1552*c**2 + 4848*c - 1152 = 0. Calculate c.
-8, -3, 2/9, 6
Factor 2*j**3 + 396*j**2.
2*j**2*(j + 198)
Find r such that -2*r**5 + 40*r**4 - 96*r**3 - 116*r**2 + 226*r + 204 = 0.
-1, 2, 3, 17
Factor -f**2/3 + 17*f/3 + 38/3.
-(f - 19)*(f + 2)/3
Factor -4*d**4 + 92*d**3 - 393*d**2 + 612*d - 324.
-(d - 18)*(d - 2)*(2*d - 3)**2
What is b in -2*b**4 - 4*b**3 + 14*b**2 - 8*b = 0?
-4, 0, 1
Factor -v**5/8 + v**4/2 - 3*v**3/8.
-v**3*(v - 3)*(v - 1)/8
Find v such that -v**2 + 3*v + 270 = 0.
-15, 18
Factor -2*k**2 - 1844*k - 425042.
-2*(k + 461)**2
Suppose 60*k**4 - 219*k**3 + 288*k**2 - 159*k + 30 = 0. What is k?
2/5, 1, 5/4
Factor -4*w**5 - 20*w**4 - 24*w**3 + 8*w**2 + 28*w + 12.
-4*(w - 1)*(w + 1)**3*(w + 3)
Solve -8*a**4/17 - 50*a**3/17 + 54*a**2/17 + 74*a/17 - 70/17 = 0 for a.
-7, -5/4, 1
Determine j, given that -j**5/5 + 4*j**4/5 - 6*j**3/5 + 4*j**2/5 - j/5 = 0.
0, 1
Solve 4*k**3 + 144*k**2 - 156*k - 296 = 0 for k.
-37, -1, 2
Let -2*a**5/11 + 14*a**4/11 + 2*a**3 - 46*a**2/11 - 20*a/11 + 32/11 = 0. Calculate a.
-2, -1, 1, 8
Solve 3*c**2 - 60*c = 0.
0, 20
Factor -5*g**5 + 55*g**4.
-5*g**4*(g - 11)
Solve -f**5 + 42*f**4 - 481*f**3 + 840*f**2 - 400*f = 0.
0, 1, 20
Factor 4*c**2 + 264*c - 544.
4*(c - 2)*(c + 68)
Find z, given that 13*z**2/4 - 7*z/4 - 5 = 0.
-1, 20/13
Suppose b**4/5 - 21*b**3 - 431*b**2/5 - 543*b/5 - 218/5 = 0. What is b?
-2, -1, 109
Factor -x**5/4 - 2*x**4.
-x**4*(x + 8)/4
Suppose -3*b**2/5 - 24*b - 105 = 0. What is b?
-35, -5
Factor 5*p**2 + 40*p + 80.
5*(p + 4)**2
Find g such that 3*g**3/2 - 555*g**2/2 + 1887*g - 3204 = 0.
3, 4, 178
Let 3*s**3 - 18*s**2 - 81*s + 420 = 0. What is s?
-5, 4, 7
Let d**2/4 - 14*d - 57/4 = 0. What is d?
-1, 57
Solve -4*w**2 + 340*w + 344 = 0.
-1, 86
Factor -6*x**4 + 44*x**3 - 38*x**2.
-2*x**2*(x - 1)*(3*x - 19)
Determine i, given that 8*i**4 + 76*i**3 + 148*i**2 + 56*i = 0.
-7, -2, -1/2, 0
What is h in -2*h**2 + 12596*h - 19832402 = 0?
3149
Factor -3*q**3 + 570*q**2 - 1131*q + 564.
-3*(q - 188)*(q - 1)**2
Factor -a**2/4 - 21*a - 83/4.
-(a + 1)*(a + 83)/4
Factor -3*w**4 + 39*w**2 + 36*w.
-3*w*(w - 4)*(w + 1)*(w + 3)
Suppose -20*a**4 - 15*a**3 = 0. Calculate a.
-3/4, 0
Factor 2*p**3/5 - 276*p**2/5 + 814*p/5 - 108.
2*(p - 135)*(p - 2)*(p - 1)/5
Factor 5*o**5 - 510*o**4 + 505*o**3.
5*o**3*(o - 101)*(o - 1)
Find a such that 2*a**3 - 4*a**2 - 8*a + 16 = 0.
-2, 2
Find y such that 3*y**2/7 - 633*y/7 + 1254/7 = 0.
2, 209
Factor -3*k**2 - 3*k + 90.
-3*(k - 5)*(k + 6)
Factor -4*j**2 + 208*j - 2704.
-4*(j - 26)**2
Factor -2*k**2/3 + 14*k + 260/3.
-2*(k - 26)*(k + 5)/3
What is x in 2*x**2 + 912*x + 103968 = 0?
-228
Determine k so that -3*k**4 + 87*k**3 - 792*k**2 + 2160*k = 0.
0, 5, 12
Let 2*r**4/11 + 628*r**3/11 + 624*r**2/11 - 628*r/11 - 626/11 = 0. Calculate r.
-313, -1, 1
Factor l**2/6 + l/3 - 35/6.
(l - 5)*(l + 7)/6
Determine k so that -2*k**4 + 14*k**3 - 12*k**2 = 0.
0, 1, 6
Factor -r**3/6.
-r**3/6
Determine j so that -2*j**5 + j**4 + 8*j**3 + 5*j**2 = 0.
-1, 0, 5/2
Factor -2*o**2/7 + 192*o - 32256.
-2*(o - 336)**2/7
Let -z**2/8 + 1515*z/8 + 379/2 = 0. Calculate z.
-1, 1516
What is q in -3*q**4/7 + 12*q**3/7 + 96*q**2/7 = 0?
-4, 0, 8
Find z such that -4*z**5/3 = 0.
0
Suppose -2*h**4/13 - 22*h**3/13 - 40*h**2/13 + 64*h/13 = 0. Calculate h.
-8, -4, 0, 1
Let 4*h**3/5 + 24*h**2/5 + 44*h/5 + 24/5 = 0. What is h?
-3, -2, -1
Suppose 2*a**3/3 + 338*a**2/9 + 12*a - 224/9 = 0. What is a?
-56, -1, 2/3
Suppose 3*g**5/4 + 357*g**4/4 + 171*g**3/2 - 357*g**2 - 354*g = 0. What is g?
-118, -2, -1, 0, 2
Factor 5*h**3 - 45*h**2 + 30*h + 80.
5*(h - 8)*(h - 2)*(h + 1)
Find w, given that -2*w**2/9 - 16*w/9 - 14/9 = 0.
-7, -1
Factor 2*g**3 - 1000*g**2 + 125000*g.
2*g*(g - 250)**2
Factor k**3/2 + 15*k**2/4 - 29*k/4 - 9/2.
(k - 2)*(k + 9)*(2*k + 1)/4
Factor -r**2/3 + 341*r/3 - 340/3.
-(r - 340)*(r - 1)/3
Determine j, given that 2*j**2/5 - 206*j/5 + 404/5 = 0.
2, 101
Factor -4*g**4 - 2456*g**3 + 7392*g**2 - 7400*g + 2468.
-4*(g - 1)**3*(g + 617)
Factor -81*j**3/4 - 279*j**2/2 - 112*j - 24.
-(j + 6)*(9*j + 4)**2/4
What is x in -10*x**3/9 - 52*x**2/3 - 24*x + 112/9 = 0?
-14, -2, 2/5
Find u such that u**2/4 - 35*u/2 + 1225/4 = 0.
35
Factor -y**2/11 - 303*y/11 - 900/11.
-(y + 3)*(y + 300)/11
Solve 2*p**2/21 + 3392*p/21 - 2264/7 = 0.
-1698, 2
Factor -m**5/4 - 17*m**4/4 - 63*m**3/4 + 81*m**2/4.
-m**2*(m - 1)*(m + 9)**2/4
Determine m so that 5*m**5/2 - 65*m**4/2 - 120*m**3 + 2150*m**2 - 2000*m = 0.
-8, 0, 1, 10
Solve 5*g**5 + 120*g**4 + 240*g**3 - 6250*g**2 + 4875*g + 11250 = 0.
-15, -1, 2, 5
Factor -2*i**2/9 - 22*i/3 + 380/9.
-2*(i - 5)*(i + 38)/9
Factor -p**2 + 4018*p.
-p*(p - 4018)
Determine i, given that 2*i**5/9 - 16*i**4/9 - 46*i**3/9 + 52*i**2/9 + 88*i/9 - 80/9 = 0.
-2, 1, 10
Find g, given that -2*g**2 + 160*g - 608 = 0.
4, 76
Find d such that -2*d**2/3 + 26*d/3 = 0.
0, 13
Find y, given that -y**2 + 200*y + 404 = 0.
-2, 202
Factor -5*t**4 + 220*t**3 - 2625*t**2 + 4410*t.
-5*t*(t - 21)**2*(t - 2)
What is s in 3*s**4/4 - 870*s**3 + 378450*s**2 - 73167000*s + 5304607500 = 0?
290
Factor 2*z**4/9 - 4*z**3/9 - 64*z**2/9 - 20*z/3 + 14.
2*(z - 7)*(z - 1)*(z + 3)**2/9
Suppose -o**3/3 - o**2/3 + 17*o/3 - 5 = 0. Calculate o.
-5, 1, 3
Factor -14*p**3/9 + 80*p**2/9 + 122*p/9 + 28/9.
-2*(p - 7)*(p + 1)*(7*p + 2)/9
Factor 43245*s**2 + 1860*s + 20.
5*(93*s + 2)**2
Factor -4*n**5/3 - 16*n**4/3 + 92*n**3/3 + 152*n**2/3 - 880*n/3 + 800/3.
-4*(n - 2)**3*(n + 5)**2/3
Factor -2*y*
|
{
"pile_set_name": "DM Mathematics"
}
|
j - 8)*(2*j**3 + 3 - 3) to the form b*j**3 + r*j**4 + c + o*j**2 + g*j and give r.
2048
Rearrange -12363*s**2 + 3*s**3 - 118 + 12363*s**2 + 2*s - 2*s to the form t*s**3 + n*s + c*s**2 + k and give t.
3
Rearrange -100*h - 49 + 53*h + 46 - h**4 + 47*h - 84*h**2 to the form y*h**4 + m*h**2 + o*h**3 + k*h + a and give y.
-1
Rearrange (9 + 4*w - 9)*(2 + 0 - 3 - 19 + 25 - 16 - 3 + 6 - 4 + (-1 + 5 - 5)*(-4 + 2 + 1) + 1 - 2 - 1) to s*w + n and give s.
-52
Express -2*g - 1 + 1 + (0*g - g + 0*g)*(-1 + 1 + 2) + (-321*g + 159*g + 535*g)*(-2 - 2 + 3) as o + d*g and give d.
-377
Express -11*p**3 - 77 + 76 + 0*p + 3*p in the form s*p**3 + g + i*p + o*p**2 and give s.
-11
Rearrange -15 - 14 + 258*a**2 + 29 to z*a + c + u*a**2 and give u.
258
Rearrange -1080*n**3 + 539*n**3 + 1 + 76*n**4 + 542*n**3 + 2*n**4 to the form k*n + i*n**4 + q*n**3 + f + v*n**2 and give f.
1
Express (d + 0 + 0)*(299*d - 182*d + 247*d)*(2 - 3 + 0) in the form b + l*d + z*d**2 and give z.
-364
Rearrange 13*w - 23*w - 7 + 48 - 112 to the form j*w + q and give j.
-10
Rearrange -978*z - 21*z**2 + 488*z + 2*z**3 + 492*z to the form l*z**3 + n*z + k*z**2 + v and give l.
2
Rearrange (3 - 2*x**2 - 3)*(-900*x - 1399*x - 1048*x) to the form l*x + w + s*x**2 + c*x**3 and give c.
6694
Express -40 + 26*o + 28*o - 57*o as i*o + d and give d.
-40
Express -111*b**2 + 8*b**2 - 68*b**2 + 26*b**2 in the form r*b**2 + k*b + q and give r.
-145
Rearrange (-7*d + 3*d + d - 6)*(0*d + 5*d - 3*d) to the form r*d**2 + c*d + n and give r.
-6
Rearrange 1162*p - 26150 + 26150 to l + o*p and give o.
1162
Express 5*i + 2*i**2 - 5*i + (-1 + 2*i + 1)*(-4*i + 2*i + 3*i) + (-i + 10*i + 2*i)*(10 + 7 + 5)*(4*i - 3*i + 3*i) + i + i**2 - i as v + r*i**2 + a*i and give r.
973
Rearrange -2*g**4 - 28319 + 28319 + g**2 + 7*g to the form z + r*g**2 + n*g**3 + u*g**4 + c*g and give u.
-2
Express (0 + y - 3 + 6)*(1 + 1 + 2) + (-8 + 0 - 5)*(2*y - y + 0*y) as x*y + i and give x.
-9
Rearrange (2 - 2 - 3*h)*(2 - 3 - 6)*(-3 + 5 - 13)*(2 + 0 + 1) to the form a + b*h and give b.
-693
Express (3*g - 2 + 5 - 1)*(13*g - 21*g + 12*g)*(0 - 3 + 2)*(9 + 4 - 2) as t + i*g**2 + h*g and give h.
-88
Express (c + c - c)*(-c - c + 4*c) + (40*c - 13*c - 12*c)*(-3 + 3 - 2*c) + (-16 + 0*c + 2*c - 5)*(c + 2 - 2) in the form l + a*c**2 + m*c and give m.
-21
Rearrange 19*s**3 + 2*s - 3 - 5*s**3 + 6 to l*s**3 + k*s**2 + g + m*s and give g.
3
Rearrange (-2*n + n - n)*(-248 + 248 + 93*n + 0*n - 2*n + 3*n + (2*n - 4*n + n)*(-6 + 3 + 1)) - 20 - 9*n**2 + 20 to u*n + d + m*n**2 and give m.
-201
Rearrange 6*w + 0*w - 3*w + (2*w - 27*w + w)*(-1 + 1 + 1) to the form k + r*w and give r.
-21
Express 2*x - 14 + 14 + (-3 + 4 - 3)*(-x - 4*x + 3*x) in the form h + o*x and give o.
6
Rearrange (-1 + z + 1)*(-143 - 576 + 64) to h*z + t and give h.
-655
Rearrange 419256*o**3 - 419260*o**3 + 2*o - o + 3 - o + o**2 to z*o**3 + d*o + h + n*o**2 and give h.
3
Rearrange -2419 + 2419 - 1864*x to p*x + w and give w.
0
Express (124 - 364*r + 363*r + 15)*(-1 + 3 - 3)*(-3*r + 6*r - r) as c*r + h*r**2 + n and give c.
-278
Rearrange (-1 + 1 + 9)*(3*n - 6*n + n)*(28 + 6 - 5)*(3*n + 0*n + 0*n) to the form p*n + c + g*n**2 and give g.
-1566
Rearrange 2*a**4 + 3*a**3 + a**3 - 381 + 384 to the form j*a**3 + m*a**2 + t*a + w + y*a**4 and give w.
3
Express 2 - 2*q**3 + 20784*q**4 + q - 20797*q**4 - q**2 + 0*q**2 in the form k*q + t + i*q**3 + r*q**4 + v*q**2 and give v.
-1
Express (33 + 64 + 50)*(3*u**3 + 0*u**3 + 4*u**3) as z + r*u + t*u**3 + x*u**2 and give t.
1029
Express (-313*u**3 + 81*u**3 + 68*u**3)*(-4 + 4 - 2)*(2*u + u + u) in the form b + w*u + i*u**2 + y*u**4 + x*u**3 and give y.
1312
Rearrange (-3*n**3 + 13 - 13)*(38 - 12 - 57 - 37) to c + q*n + m*n**2 + d*n**3 and give d.
204
Rearrange -8*j - j**2 + 2*j**2 + 7*j to a*j + k*j**2 + n and give a.
-1
Rearrange -183*y**2 - 1 + 47*y**2 - 13*y**2 + 0 to the form q*y + l*y**2 + h and give h.
-1
Express -6*k**2 + k**2 + k**2 + (1 - 1 + k)*(0 + 0 - 2*k) + 2*k**2 - 3*k**2 - k**2 - 6*k + 8 - 748*k**2 + 743*k**2 + 3*k as d*k**2 + b + r*k and give b.
8
Express ((2 - 1 + 1)*(2 - 4 + 0) + 0 - 3 + 6)*(-2*n - 3*n + 2*n)*(3*n**2 - n**2 + 4*n**2) in the form c*n + o*n**2 + g*n**3 + x and give g.
18
Rearrange 2 + 4*g**2 + 3*g**3 - g**2 + 0*g**3 - 2*g - 3*g + 3*g - 17*g**4 to m*g**2 + k*g**4 + d + j*g**3 + l*g and give m.
3
Express -14*k**4 + 13 - 13 + (k**2 + 3*k**2 - 2*k**2)*(2*k**2 - 2*k**2 - 2*k**2) - 21*k**4 + 1 + 3 - 3 - 1 as i*k**4 + z*k**2 + n + u*k**3 + s*k and give i.
-39
Express 47*n + 3*n**3 + 2*n**2 - 1 - 51*n - 2*n**3 + 0*n**3 as b*n + r*n**2 + x*n**3 + s and give r.
2
Express (j**2 - 2*j**2 - j**2)*(-2 - 3 + 4) - 223*j**2 - 64*j**2 + 72*j**2 + (-j + 0*j + 3*j)*(3*j + 2*j - 3*j) as n*j + p*j**2 + t and give p.
-209
Express 0*a - 4*a + 71*a as l*a + k and give k.
0
Rearrange -2*y**4 + 3 - y - 338*y**3 + 341*y**3 + 2*y**2 - 4 to b*y**4 + x*y**3 + d*y**2 + n*y + l and give d.
2
Rearrange -3*f - 42724*f**3 + 43273*f**3 + 5*f to the form w + c*f**2 + m*f**3 + n*f and give m.
549
Express 65357*y**2 - y**3 - 65409*y**2 - 16*y**3 in the form g*y**3 + i + h*y**2 + d*y and give g.
-17
Rearrange (2*n + 2*n - n)*(3*n - 2*n - 2*n) + n**2 + 2*n**2 - 5*n**2 + (-5*n + 3 - 3)*(25*n + 24*n - 44*n) to the form v*n + x + y*n**2 and give x.
0
Express (2*s - 6*s + 2*s)*(-285 + 285 + 184*s) + 6 + 0 - 2*s**2 + 3*s**2 in the form j + t*s**2 + y*s and give j.
6
Express -6*c + 312*c + 33*c + 7*c - 2 in the form m + k*c and give k.
346
Express -6*r**4 + 4*r**4 + 17*r + 21*r**2 + 3*r**3 - 2 - 20*r**2 as s*r + k + a*r**3 + p*r**4 + y*r**2 and give a.
3
Express -9 - 61*y**2 + 18*y**3 + 3 + 8 + 86*y**2 in the form j*y + g*y**3 + l*y**2 + d and give l.
25
Express (3*i - i - i)*(4 - 6 - 1)*(-5 - 17 - 56) in the form m + l*i and give l.
234
Express x**2 + 2*x - 19*x + 7*x**2 + 10*x**2 as u + s*x**2 + q*x and give q.
-17
Rearrange q**3 - q**2 + 63*q + 25 - 15*q - 52*q to v*q**2 + t*q + u*q**3 + d and give d.
25
Rearrange 2*a**3 + 2*a**4 + 18 - 52*a**2 + a**3 + 95*a**2 - a**3 - 45*a**2 to the form m*a**2 + z*a**3 + k*a**4 + x + p*a and give k.
2
Rearrange -173*s**3 + s**2 + 0*s**2 - 4*s + 172*s**3 - 4 to the form r*s + g*s**3 + n*s**2 + d and give n.
1
Rearrange (-16*u - 26*u + 23*u)*(1 - 2 + 2*u - 2) - 2*u**2 + 2*u**2 + u**2 to the form b + o*u**2 + w*u and give w.
57
Rearrange (0 - 2*w - w + 2)*(-750*w**3 + 374*w**3 + 375*w**3 + 43*w) to i*w**2 + l*w + g + h*w**4 + v*w**3 and give l.
86
Rearrange 125*o**2 - o**4 + 0*o**3 - 264*o**2 + 131*o**2 - 6*o**3 to the form r*o**2 + c*o**4 + w*o + y*o**3 + l and give r.
-8
Express 303*h - 1300 + 1300 as a*h + n and give a.
303
Rearrange (135 - 303 - 2170)*(v**3 + 0 + 0) to the form c*v + d*v**3 + a + y*v**2 and give d.
-2338
Express (-1 + 1 - 1057*c**2 + 1009*c**2)*(-48*c + 46*c + 9*c**2 - c**2) in the form i*c**2 + w*c**4 + g*c**3 + t*c + f and give w.
-384
Rearrange 610*x + 62*x + 2551*x to the form n*x + l and give n.
3223
Rearrange (40*f + 1261 - 1261)*(0 + 0 + 1) to the form q + x*f and give x.
40
Express d - 3*d**4 - 6 + 150*d**3 - 64*d**3 - 79*d**3 in the form n*d**2 + q*d**4 + v*d + t + i*d**3 and give v.
1
Express 3 - 3 + 12068*n**3 + n - 11995*n**3 in the form d*n + c*n**2 + z*n**3 + g and give z.
73
Express 4*b + 5*b**4 - 29*b**3 - 5*b + 2*b**2 + 9 - 4*b**2 - b + 28*b**3 in the form n*b**3 + f*b**4 + o*b**2 + p*b + u and give p.
-2
Rearrange 40*m**2 - 186*m**2 - 16*m**2 - 74*m**2 to q + g*m + u*m**2 and give u.
-236
Rearrange (10*o - 10*o + 5*o**2)*(-1 + 1 + 2 - 1 + 0 + 2 + (-1 + 1 - 1)*(-1 + 0 - 1))*(46*o - 24*o - 12*o) to the form v*o**3 + k*o**2 + t*o + w and give w.
0
Express 4*x + 1 - 9*x**3 + 0*x**2 - 9*x**3 - x**2 + 19*x**3 as c*x**2 + h*x**3 + u*x + t and give h.
1
Rearrange 74 + 0*z + z + 90 - 150 to y*z + j and give y.
1
Rearrange 1 - 10*i**4 + 44*i**4 + 2*i**3 - 77*i**4 - 2*i - 15*i**4 to v*i**4 + l + p*i**2 + z*i + x*i**3 and give z.
-2
Express (6 + 0 + 47)*(10 + 12*p - 10) as z + n*p and give n.
636
Express (4790 - 4790 + 29*o)*(-1 + 1 - 2) as q + u*o and give u.
-58
Rearrange (0*v**2 + 0*v**2 - v**2)*(-2 + 2 + 4*v)*(-28*v + 9*v - 5*v) to the form z*v**3 + k*v**4 + l*v + r + x*v**2 and give k.
96
Express -206 + 3*b**2 - 6*b**2 + 92 in the form u*b**2 + w + c*b and give w.
-114
Rearrange 834*p + 4 - 429*p -
|
{
"pile_set_name": "DM Mathematics"
}
|
1, 2
Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n.
-4*f*(f - 1)**3*(f + 1)
Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4.
2*n*(n - 1)**3*(n + 2)/3
Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y**4 + 21*y. Factor z(i).
4*i**2*(i - 3)*(i + 1)*(i + 3)
Let k(j) be the first derivative of -j**4/14 + 2*j**3/7 + 9*j**2/7 + 10*j/7 + 32. What is f in k(f) = 0?
-1, 5
Let n be (-24)/8 - -5*1. Let o(r) be the second derivative of -1/33*r**4 + 0*r**5 + 1/165*r**6 + 0*r**3 + 0 + 1/11*r**n + r. Factor o(u).
2*(u - 1)**2*(u + 1)**2/11
Find v such that 2/11*v**5 - 36/11*v**4 + 0*v + 0 + 0*v**2 + 162/11*v**3 = 0.
0, 9
Let c(a) = 5*a**3 + 18*a**2 + 9*a - 30. Let u(p) = -20*p**3 - 71*p**2 - 38*p + 120. Let r(x) = -9*c(x) - 2*u(x). Determine l, given that r(l) = 0.
-3, -2, 1
Let a(t) be the third derivative of t**6/30 - t**5/15 - t**4/3 + 16*t**2. Factor a(r).
4*r*(r - 2)*(r + 1)
Let k(z) be the third derivative of -5*z**7/357 + 4*z**6/51 + 67*z**5/170 + 29*z**4/51 + 20*z**3/51 + 41*z**2 - 2. Suppose k(i) = 0. What is i?
-1, -2/5, 5
Let j be (-2)/4*498/(-360). Let l = -1/40 + j. Determine k, given that -l*k - 4/3 + 2/3*k**2 = 0.
-1, 2
Let r(u) be the third derivative of u**9/151200 - u**7/4200 + u**6/900 + 2*u**5/5 + 20*u**2. Let l(k) be the third derivative of r(k). Factor l(v).
2*(v - 1)**2*(v + 2)/5
Let p(u) be the second derivative of 13*u + 1/28*u**4 + 0 - 3/14*u**2 + 0*u**3. Factor p(h).
3*(h - 1)*(h + 1)/7
Suppose 5*r + 3*d - 28 = 0, 7 - 3 = -r + d. Let 5*g**4 - 95/4*g**3 - 25/4*g + 115/4*g**r - 15/4 = 0. Calculate g.
-1/4, 1, 3
Suppose -4*o - v = -15, 22*v - 27 = 4*o + 17*v. Let 0 - x + 1/3*x**o = 0. Calculate x.
0, 3
Let g(w) be the second derivative of 0*w**2 + 0 + 1/20*w**5 + 1/6*w**4 + 21*w + 0*w**3. Solve g(o) = 0.
-2, 0
Let y(q) = -q**3 - 6*q**2 + 5*q - 10. Let i be y(-7). Suppose 0 = i*d + d. Factor 8*c**3 - 10*c**3 - 2*c**4 + d*c**4.
-2*c**3*(c + 1)
Let n(a) be the first derivative of a**4/22 + 2*a**3/3 + 19*a**2/11 + 18*a/11 - 56. Factor n(i).
2*(i + 1)**2*(i + 9)/11
Let z(v) be the second derivative of 0*v**3 - 1/100*v**5 - 8*v + 1/40*v**4 + 0 + 2*v**2. Let q(h) be the first derivative of z(h). Factor q(f).
-3*f*(f - 1)/5
Let n(y) = 36*y + 6*y**2 - 1 + 4*y**2 - 26*y - 24. Let q(t) = 7*t**2 + 7*t - 17. Let z(u) = 5*n(u) - 7*q(u). Factor z(r).
(r - 2)*(r + 3)
Let k(v) be the first derivative of 2*v**3/9 - 2*v**2 - 32*v/3 + 65. Factor k(d).
2*(d - 8)*(d + 2)/3
Let -6 + 125*r**3 + 64*r**2 + 35*r + 70 + 205*r + 236*r**2 = 0. What is r?
-4/5
Let l(n) be the second derivative of -1/32*n**4 - 1/32*n**5 - 1/120*n**6 + 0*n**2 - 2/3*n**3 + 0 + 5*n. Let b(m) be the second derivative of l(m). Factor b(i).
-3*(i + 1)*(4*i + 1)/4
Let a(r) be the third derivative of 0*r**3 + 0*r + 19*r**2 + 0*r**4 - 1/80*r**5 - 1/560*r**7 + 3/320*r**6 + 0. Solve a(x) = 0 for x.
0, 1, 2
Factor -16*o**2 + 448*o + 41*o**2 + 266*o - 16*o**2 - 12*o**2 - 42483.
-3*(o - 119)**2
Let a(z) be the third derivative of 1/1050*z**7 + 1/600*z**6 + 0 + 0*z - 1/15*z**3 - 1/24*z**4 + 21*z**2 - 1/100*z**5. Let a(w) = 0. What is w?
-1, 2
Let c(j) be the second derivative of j**6/6 - 2*j**5 - 25*j**4/2 - 80*j**3/3 - 55*j**2/2 - j + 14. What is n in c(n) = 0?
-1, 11
Let a(x) be the second derivative of -x**6/90 + x**5/15 + x**4/18 - 2*x**3/3 - 57*x**2/2 - x + 1. Let b(d) be the first derivative of a(d). Factor b(n).
-4*(n - 3)*(n - 1)*(n + 1)/3
Let r(o) be the first derivative of 9*o**4/28 - 23*o**3/7 + 60*o**2/7 + 48*o/7 - 166. Find s, given that r(s) = 0.
-1/3, 4
Let y = 76 + -74. Factor -4*t**3 - 25 + y*t**2 + 27 + 2*t**5 - 6*t**2 + 2*t + 2*t**4.
2*(t - 1)**2*(t + 1)**3
Let h(c) = -3*c**4 + 15*c**3 + 39*c**2 + 21*c - 7. Let f(l) = 3*l**4 - 15*l**3 - 39*l**2 - 21*l + 6. Let w(p) = 7*f(p) + 6*h(p). Solve w(d) = 0.
-1, 0, 7
Let r(z) be the second derivative of -z**7/280 - z**6/60 + z**5/40 + z**4/4 - 35*z**3/6 + 33*z. Let a(x) be the second derivative of r(x). Solve a(h) = 0.
-2, -1, 1
Let a(m) = -5*m**3 + 11*m**2 + 2. Let t(y) = 4*y**3 - y**2 - 1. Let h(n) = -a(n) - 2*t(n). Factor h(q).
-3*q**2*(q + 3)
Let o = 32/3 - 21/2. Suppose 8*y + 32/3 + o*y**3 + 2*y**2 = 0. Calculate y.
-4
Let d(x) = -16*x**4 - 8*x**3 - 4*x**2 + 4. Let n(g) = g**5 - 2*g**4 - g**3 - g**2 + 1. Let y(i) = -d(i) + 4*n(i). Let y(s) = 0. Calculate s.
-1, 0
Factor -k**2 - 1/3 + 1/3*k**3 + k.
(k - 1)**3/3
Let u(m) be the third derivative of 2*m**7/105 - 4*m**6/15 - 8*m**5/5 + 16*m**4/3 + 160*m**3/3 - 22*m**2. Suppose u(j) = 0. What is j?
-2, 2, 10
Let o(d) be the first derivative of -14/45*d**3 + 9 + 8/15*d**2 + 8/15*d - 1/6*d**4. Let o(v) = 0. Calculate v.
-2, -2/5, 1
Let k(w) be the second derivative of w**6/135 - w**5/45 + w**4/54 - w - 62. Factor k(a).
2*a**2*(a - 1)**2/9
Let a = 104 - 144. Let x = a - -43. Factor 0 + 0*r + 1/5*r**2 - 1/5*r**x + 1/5*r**5 - 1/5*r**4.
r**2*(r - 1)**2*(r + 1)/5
Let q(p) be the second derivative of -7/1620*p**6 + 1/27*p**4 - 2/3*p**3 + 0*p**2 + 0 + 1/45*p**5 - 2*p. Let v(n) be the second derivative of q(n). Factor v(k).
-2*(k - 2)*(7*k + 2)/9
Let c(n) be the third derivative of -n**6/165 + n**5/330 - 55*n**2. Let c(d) = 0. What is d?
0, 1/4
Factor -180*a - 68 + 36*a**3 + 164*a**4 - 53*a**4 - 52*a**4 - 55*a**4 + 52*a**2 - 132.
4*(a - 2)*(a + 1)*(a + 5)**2
Let w(x) be the first derivative of 6*x + 0*x**2 + 3 - 1/15*x**3 - 1/50*x**5 + 1/15*x**4. Let k(v) be the first derivative of w(v). Factor k(a).
-2*a*(a - 1)**2/5
Let x(h) be the second derivative of -7*h**6/60 + h**5/20 + 91*h**4/24 + 29*h**3/6 - 6*h**2 - h - 126. Find l, given that x(l) = 0.
-3, -1, 2/7, 4
Let -6*a**5 + 2*a**5 + 34*a - 34*a + 459*a**4 + a**5 = 0. Calculate a.
0, 153
Let q = 398 - 1178/3. Factor q + 0*w - 4/3*w**2.
-4*(w - 2)*(w + 2)/3
Determine p so that -108*p**3 + 134*p**4 - 22*p**4 + 3193*p - 1599*p + 16 - 236*p**2 - 1594*p = 0.
-1, -2/7, 1/4, 2
Let v(w) be the first derivative of -w**3/4 - w**2 - w - 12. Solve v(y) = 0.
-2, -2/3
Let m = -2507/13 - -193. Let z be (1*(-2 + 4))/(22 - 9). Let -m*s**2 - 4/13*s - z = 0. Calculate s.
-1
Let d = -20 + 20. Determine a, given that d*a + 2*a**2 - 4 + 4*a - 7*a + a = 0.
-1, 2
Let z(b) be the second derivative of 0*b**3 - 1/18*b**4 - 1/45*b**6 + 1/15*b**5 + 0 - 6*b + 0*b**2. Find k such that z(k) = 0.
0, 1
Suppose -2/9*k**3 + 0*k + 2/9*k**5 + 0 + 2*k**4 - 2*k**2 = 0. What is k?
-9, -1, 0, 1
Suppose 19153*f = 19152*f + 2. Factor -86/19*b + 10/19*b**f - 36/19.
2*(b - 9)*(5*b + 2)/19
Solve 2/3*u**4 + 0 - 17/3*u**2 - 7/6*u - 23/6*u**3 = 0 for u.
-1, -1/4, 0, 7
Let m(s) be the second derivative of 0*s**2 - 1/3*s**3 + 1/80*s**5 + 6*s - 7/48*s**4 - 2. Factor m(a).
a*(a - 8)*(a + 1)/4
Let r = 35 + -21. Suppose 0 = -3*f - 5*l + 11, -5*l + l + r = 5*f. Determine n, given that 0*n - n - 4 + 6*n**3 - 4*n**4 - 5*n + 8*n**f = 0.
-1, -1/2, 1, 2
Let z(m) = -5*m**4 + 4*m**3 + 6*m**2 - 4*m - 1. Suppose 3 = -3*f - 9. Let x(t) = -4*t**4 + 3*t**3 + 5*t**2 - 3*t - 1. Let g(s) = f*x(s) + 3*z(s). Factor g(i).
(i - 1)**2*(i + 1)**2
Suppose 0 = -3*x + 5*j + 9, x - 1 - 2 = 5*j. Factor -x*h**4 - 5*h**3 - 10*h**2 + 2*h**4 + 6*h**4.
5*h**2*(h - 2)*(h + 1)
Let t(b) = b**3 + 17*b**2 + 31*b + 17. Let m be t(-15). Let q(w) be the first derivative of 4/5*w**m - 5 - 8/5*w**3 - 7/10*w**4 + 0*w. Factor q(u).
-2*u*(u + 2)*(7*u - 2)/5
Let x be (3 - 315/(-20))/(22/256). Let l = x - 218. Let -4/11*v**2 - l*v**3 + 0 + 0*v = 0. Calculate v.
-2, 0
Let l(y) be the first derivative of -y**3/6 - 7*y**2/4 + 4*y - 22. Let l(r) = 0. What is r?
-8, 1
Factor -222/5*l + 44 + 2/5*l**2.
2*(l - 110)*(l - 1)/5
Solve 0 + 3/8*b**3 + 3/8*b**2 + 0*b = 0.
-1, 0
Solve -34*c**2 + 16*c + 10*c**2 + 8*c**2 + 13*c**2 + 59*c = 0 for c.
0, 25
Suppose 2*w = 6, 2*d = 2*w + 6 + 24. Suppose -3*j = 2*j - y - 14, j - 4*y - d = 0. Suppose -2/5*q**j - 2/5*q + 4/5 = 0. Calculate q.
-2, 1
Let o(b) be the third derivative of b**7/105 - 13*b**6/60 + 238*b**2. Factor o(f).
2*f**3*(f - 13)
Suppose -15 = -4*t - 18*x + 21*x, -5*t + 5*x + 25 = 0. Find u, given that -1/6*u**5 + t*u**4 - 1/6*u + 0 + 0*u**2 + 1/3*u**3 = 0.
-1, 0, 1
Factor -4*t**2 + t**5 + t**4 - 1451*t**3 + 727*t**3 + 2*t**2 + 1 + t + 722*t**3.
(t - 1)**2*(t + 1)**3
Suppose 1080 = 14*
|
{
"pile_set_name": "DM Mathematics"
}
|
ssuming d is positive.
d**(252/17)
Simplify ((s*(s**(-8)*s*s)/s*s)/(s*s*s**(1/5)*s))**(17/5) assuming s is positive.
s**(-697/25)
Simplify ((q/q**(-1))**(-22)*(q*q/(q/(q/(q*q/(q*q**1/q)*q)*q)))/q**(-3))**(-44) assuming q is positive.
q**1760
Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive.
k**(2545/207)
Simplify ((v/(v/(v/(v**(1/2)/v*v)))*v*v)/v)/(((v*((v**(2/7)/v)/v*v)/v)/v)/v)*(v*v/(v/(v/(v*(v*v/v**(2/25))/v)*v)))**(-33) assuming v is positive.
v**(-10999/350)
Simplify b**15*b*b**(-1/2)*b*(b**(-3/7))**21 assuming b is positive.
b**(15/2)
Simplify (g**(6/7)*g)/g**(2/73)*g**(-2/13)/((((g*g**7)/g)/g)/g) assuming g is positive.
g**(-22082/6643)
Simplify ((x**22)**(-47))**36 assuming x is positive.
x**(-37224)
Simplify ((r*r/(r**21/r))/(r**(-33)/r*r))/(r**0)**(1/8) assuming r is positive.
r**15
Simplify ((h**(-1/9)/h**(2/13))/((h/h**(-5/3)*h)/((h/(h*h/h**(1/8)))/h)))**(4/33) assuming h is positive.
h**(-5435/7722)
Simplify (c/(c**(-19)*c)*c/(c/(c/(c/((c**(-6/23)*c)/c)))))**40 assuming c is positive.
c**(17240/23)
Simplify (a**(-8)/(a**(1/40)/a))/(a**0/a*a/(a/(a*a*a**(-1/2)))) assuming a is positive.
a**(-301/40)
Simplify (((v**(-1/5))**(-25/3))**(-14/9))**(2/89) assuming v is positive.
v**(-140/2403)
Simplify ((t*t*t*t**(-3/7)*t)/t**(-1))/(t**(9/2)/(t/t**(2/39))) assuming t is positive.
t**(557/546)
Simplify (b*b**3)**5/((b**(-3/10)*b*b)/b*(b**(-4)/b*b)/b) assuming b is positive.
b**(243/10)
Simplify (u**(-5)*u**(-15))/(u/u**10*(u*u*u*u/u**(-1/4))/u) assuming u is positive.
u**(-57/4)
Simplify (q**0)**(-23)/(q/(q/q**(-2/3)*q)*q*q)**(1/63) assuming q is positive.
q**(-1/189)
Simplify ((c/c**(-1/3))/c)**(-6)*(c**(-6))**(-30) assuming c is positive.
c**178
Simplify (w**(-3)/(w*w**8))/(w*w**(-3/17)*(w/w**(-19))/w) assuming w is positive.
w**(-541/17)
Simplify v**(-4/9)*v*v**11*(v/(v/(v*v/(v*v**1))))**(-5/2) assuming v is positive.
v**(104/9)
Simplify (((w*w**(-21)*w*w)/w)/(w*w/((w/((w*w**(-2/23))/w))/w)))**47 assuming w is positive.
w**(-22607/23)
Simplify (t**(-1/4)*((t**(-3/8)/t)/t)/t)/(t**(2/7)*t**(-9/4)) assuming t is positive.
t**(-93/56)
Simplify (s**(9/5)*s**(2/7))/(s/s**(-4))**(-8) assuming s is positive.
s**(1473/35)
Simplify (((g*g*g/(g*g**(-5)*g))**(-45))**9)**(1/53) assuming g is positive.
g**(-2430/53)
Simplify (x/(x/(x**(1/7)/x))*x**(-1/16))/(x**(-19)/(x*x**(-2/7)/x*x)) assuming x is positive.
x**(2105/112)
Simplify (i/i**(-21)*i*i*(i*i**(-14)*i)/i*i)/((i/((i*i**17)/i))/i**30) assuming i is positive.
i**58
Simplify n**(-15)*n*n/(n/(n/(n*n/(n/n**(2/3)*n)*n*n)))*n*(n*n**(-1/9))/(n*n*n**(12/5)) assuming n is positive.
n**(-818/45)
Simplify ((y**(-3)*y)/y**5*y**(-7)/(y**(1/4)*y))**(-2/103) assuming y is positive.
y**(61/206)
Simplify (c/(c/((c**2*c)/c*c)))**13*c*c**(2/9)*c*c**(-12) assuming c is positive.
c**(263/9)
Simplify ((n/(((n*n**(7/4)*n)/n*n)/n))/n**(-2/33))/(n**(-17/4))**(19/6) assuming n is positive.
n**(3107/264)
Simplify ((c/((c/(c*c**(-5/6)*c))/c)*c)/c*c*c)**(-10/13)/(c**(-1)/c)**(-43) assuming c is positive.
c**(-3479/39)
Simplify ((t/(t*t**(-1/5)))**(-8))**(-44) assuming t is positive.
t**(352/5)
Simplify g**(-2/9)*g/((g*g**31)/g)*(g**(3/7)*g)**(-36) assuming g is positive.
g**(-5144/63)
Simplify i**(-7)/(i*i**(-4/7))*(i/i**(12/7))/i*i**21 assuming i is positive.
i**(83/7)
Simplify (b*(b/(b**10/b))/b)/b*b**10*(b**(3/2)/b)**(-13) assuming b is positive.
b**(-11/2)
Simplify ((q**(-22))**(-1/2))**(-2/39) assuming q is positive.
q**(-22/39)
Simplify (z**3)**(-8/7)/(((((z*z/(z*z**(3/8)))/z*z)/z)/z)/(z/(z*z/(z*z**(-5))*z))) assuming z is positive.
z**(-451/56)
Simplify (((f/(f**(-1/7)*f))/(f*f**6*f))/(((f**(3/7)/f)/f)/(f*f**(-1/6))))**(-33) assuming f is positive.
f**(2519/14)
Simplify (c**(-3/4))**48*((c**(-1/4)/c)/c*c)**(-24) assuming c is positive.
c**(-6)
Simplify (c**23*c*c/c**(-4/11))/(c**(-7/3)/c**(-23)) assuming c is positive.
c**(155/33)
Simplify ((t**32)**35)**50 assuming t is positive.
t**56000
Simplify (p*p**(-7))/(p/p**(-1/7))*((p*p/(((((p**(2/45)/p)/p)/p)/p)/p))/p)/(p**(-5/7)*p*p*p) assuming p is positive.
p**(-1094/315)
Simplify ((d*d*d**(-23))/(d/d**(-22)))/((d**13/d)/d**15) assuming d is positive.
d**(-41)
Simplify (i**(-2/15)/(i/i**(-5)))/(i**13/(i*i**(1/6)/i)) assuming i is positive.
i**(-569/30)
Simplify (k**(1/3)*k*k*k*k/(k*k**37)*k)/((k*k**33)/(k/((k/(k**(1/20)*k))/k))) assuming k is positive.
k**(-3877/60)
Simplify (o/(o**(-1/2)*o))/(o*(o/((o*(o/(o/(o**(1/8)/o)*o))/o*o*o)/o*o)*o)/o)*o**(-1/7)/o**(-1) assuming o is positive.
o**(-29/56)
Simplify (t/(t**(-2)/t))**(-4/17)*(t**(-5)*t)**(1/2) assuming t is positive.
t**(-50/17)
Simplify (((g/(g*g**(2/9)*g))/(g/((g/(g*g**(1/3)))/g)))**28)**(2/7) assuming g is positive.
g**(-256/9)
Simplify (i**(-1))**(-2/127)*i**1*i**(-12) assuming i is positive.
i**(-1395/127)
Simplify (q**10*q/(q**(-1/6)*q*q))/(q/(q**(-3/4)*q))**(1/17) assuming q is positive.
q**(1861/204)
Simplify y/y**34*y*y*y**(2/125)*y**(-2/87)*y**(-12)*y*y assuming y is positive.
y**(-445951/10875)
Simplify (v**(1/3))**(1/7)/(v*v**6*v*v**6/v) assuming v is positive.
v**(-272/21)
Simplify ((w/(w**0*w))**(3/17)*(w*w*w**0)/(w/(w/(w/(w**5/w)))*w*w))**34 assuming w is positive.
w**102
Simplify ((f*f**(-3/2)*f*f*f/(f/f**(-1/2))*f)**(-2/85))**(-6/13) assuming f is positive.
f**(24/1105)
Simplify (t*t/((t**(-3/10)/t)/t)*t)**(5/13)*(t**(-16)/t)/(t/(t*t/(t/t**14*t*t*t))*t) assuming t is positive.
t**(-129/26)
Simplify v/((v**20*v)/v)*v*v/(v/((((v/(v*v**(-12)))/v)/v)/v))*v*v*v**(-1/5)/v**(-5) assuming v is positive.
v**(-11/5)
Simplify k*k**9*k**(-4/13)*k*k**(-1/15)/((((k*k/(k*k*k/(k**4/k)*k*k)*k)/k)/k)/k) assuming k is positive.
k**(2462/195)
Simplify q**(-8/7)/q*q*q/(((q**(-3/5)/q)/q)/q)*q*q*q*q**(-1/31)*q**(-5/7) assuming q is positive.
q**(6196/1085)
Simplify (j**(-4)*j**0*(j**(2/25)/j)/((j*j**(2/3))/j))**(-41) assuming j is positive.
j**(17179/75)
Simplify t**(-3/8)*t/(t*(t/t**(-7/2))/t)*(t*t/t**2*t)**(2/5) assuming t is positive.
t**(-139/40)
Simplify ((w**(4/5)/w)/w)**(2/33)/((w**20*w)/(w*w**(-3/10))) assuming w is positive.
w**(-2241/110)
Simplify (((o/(o/(o/(o*o**7/o*o))))/o)/o**(-18))**(-8/9) assuming o is positive.
o**(-80/9)
Simplify w*w**(-23)*w/w**2*w**(-2/29)/((w*w*w/(w*(w*w**(-1/6)*w)/w)*w)/w) assuming w is positive.
w**(-4217/174)
Simplify ((j/(j**(-2/9)*j))/j)**47*(j*j/(j/j**4*j)*j)/(j*(j*((j**(-11)*j)/j*j)/j)/j) assuming j is positive.
j**(-194/9)
Simplify p**(-1/5)/((p*p**(5/2)/p)/p)*p**(1/5)*p**(-3)*p assuming p is positive.
p**(-7/2)
Simplify (m*m**(-6))**(2/33)/(m**15/((m/m**(1/5))/m)) assuming m is positive.
m**(-2558/165)
Simplify j**(-6/11)/((j**(-21)/j)/j)*j**(11/5)*j**(10/3) assuming j is positive.
j**(4618/165)
Simplify (b**(-1/17)/(b*b**1*b*b))/(b/(b/(b/(b**(-34)*b)))*b*b*b/((b**4/b*b)/b)*b*b) assuming b is positive.
b**(-681/17)
Simplify (k**(-1/5)*k/k**(-5))/((k/(k/(k/k**(-14))*k*k))/k**(-14)) assuming k is positive.
k**(-106/5)
Simplify (p**(-11)/p)**(1/70)*(p**(-1/6)*p)/p*p**18*p assuming p is positive.
p**(3919/210)
Simplify ((n/(n*n**8))/n**(2/3)*(n/(n**0*n))**(1/24))**33 assuming n is positive.
n**(-286)
Simplify (g**(-2)/(((g**(-2/7)/g*g)/g)/g*g))**(-31) assuming g is positive.
g**(155/7)
Simplify ((b/b**(-14)*b)/b**(-26))/(b/b**10)**1 assuming b is positive.
b**51
Simplify s/(s**(-11)*s*s)*s**(-8)*(s**5)**(-1/33) assuming s is positive.
s**(61/33)
Simplify k*k**(-4/11)*k**(5/3)*(k*k*k**(2/5)*k)**(-44) assuming k is positive.
k**(-24304/165)
Simplify ((c*(c*c/c**(1/5))/c)/c)/c**19*c**(-2)/(c/c**(-2/37)) assuming c is positive.
c**(-3932/185)
Simplify (h**28/(h/((h**7/h)/h)))/(h/((h/h**15)/h)*h)**(-44) assuming h is positive.
h**780
Simplify (t**(1/15)*t**(-17))/(t**(-6/5)*t/(t/(t*t**(-1/3)*t*t))) assuming t is positive.
t**(-92/5)
Simplify (s/(s*s/(((s**11*s)/s)/s)*s*s)*s**11)/(s/(s/(s**14*s))*s**(-12)) assuming s is positive.
s**15
Simplify (z**(-13/2)/(z/(z*z**(2/5)*z)))/(z**(-2/47)/(z/(z/(z*z**(2/21))*z))) assuming z is positive.
z**(-48977/9870)
Simplify (m*m*m**(-2/3)*m**(1/6))/((((m*m**(8/3))/m)/m)/m**(-2/11)) assuming m is positive.
m**(-23/66)
Simplify (o*o**(3/7)/o*o*o)**48*o/o**(-8)*(o/(o/o**16))/o assuming o is positive.
o**(984/7)
Simplify (((l**(-3/14))**27)**(1/25))**20 assuming l is positive.
l**(-162/35)
Simplify k**18*k*k*k**(1/5
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{
"pile_set_name": "DM Mathematics"
}
|
).
6592*o**2 - 3
Suppose 2*z - 6 + 2 = 0. Let c(s) = z*s + 5*s - 13*s + 5*s. Let n(k) be the third derivative of -k**5/3 - 3*k**2. Give c(n(f)).
20*f**2
Let p(k) = 2*k**2. Let u(n) = 14979665*n**2. Calculate p(u(v)).
448780727024450*v**4
Let i(b) = 25380*b**2 + 5922*b + 658. Let f(t) = -193*t**2 - 45*t - 5. Let x(p) = -658*f(p) - 5*i(p). Let o(j) = 3*j**2. Calculate x(o(s)).
846*s**4
Let z(k) = k**2 - 412187*k. Let v(x) = 2*x. Calculate v(z(d)).
2*d**2 - 824374*d
Let c(k) be the second derivative of 0*k**3 + 0*k**2 + 23 + 1/12*k**4 - 3*k. Let p(u) = 209*u**2 + 2*u. What is c(p(x))?
43681*x**4 + 836*x**3 + 4*x**2
Let r(s) be the third derivative of s**5/60 - s**4/24 - 617*s**3/2 + 17*s**2 + 3*s. Let d(h) = -2*h. Calculate r(d(j)).
4*j**2 + 2*j - 1851
Let a(p) = -97141*p. Let m(y) = 115*y + 2. What is m(a(v))?
-11171215*v + 2
Let i(c) = 2. Let f(s) = 16 - 19 - 7 - 2*s + 0*s. Suppose -8 = 4*r + 12. Let d(l) = r*i(l) - f(l). Let h(o) = -o. What is d(h(x))?
-2*x
Let x(a) = 14509*a. Let b(r) = -1071*r**2 - 1. Determine x(b(h)).
-15539139*h**2 - 14509
Suppose w + 5*i = -1, -i = -3*w + 6 + 7. Suppose -8*h + 15852 = w*h. Let v(r) = h - r**2 - 1321. Let u(c) = -13*c**2 + 3*c. What is v(u(x))?
-169*x**4 + 78*x**3 - 9*x**2
Let z(u) be the first derivative of 3*u**2/2 + 2. Let l(c) = -545*c**2 - 155. Let o(q) = 21*q**2 + 6. Let w(s) = 6*l(s) + 155*o(s). Calculate z(w(a)).
-45*a**2
Let i(d) = -2*d**2. Suppose -6*c - 2*b = -3*c - 69, -b = -3*c + 60. Let n(r) = r - 21 - 18 + 97 - c - 21. Determine i(n(l)).
-2*l**2 - 64*l - 512
Let y(p) be the third derivative of -p**4/12 + 9*p**3 + 4*p**2 + 87. Let z(k) = 63*k. Give y(z(g)).
-126*g + 54
Let r(y) = -88*y**2. Let k(t) = -4310*t**2. What is r(k(z))?
-1634696800*z**4
Let l(z) = -41*z + 49*z - 9*z. Let m(a) = 195*a**2. What is m(l(q))?
195*q**2
Let x(a) = -87934634*a. Let h(p) = p**2. What is h(x(o))?
7732499856713956*o**2
Let z(u) = 124*u**2 + 134*u - 10. Let q(d) = 42*d**2 + 40*d - 3. Let f(c) = 10*q(c) - 3*z(c). Let r(a) = -21*a. Determine f(r(p)).
21168*p**2 + 42*p
Let w(t) = -24823*t - 25001*t - 24166*t + 75028*t. Let g(z) = 3*z. What is g(w(o))?
3114*o
Let h(a) = a. Let t(p) = -74 + 10058*p + 35 + 39. What is t(h(r))?
10058*r
Let r(b) be the first derivative of -4*b**3/3 - 4462. Let o(y) = -1831*y. Calculate o(r(k)).
7324*k**2
Let m(n) = 3436*n**2. Let v(b) = 7*b**2 - 18*b - 2. Let t(u) = 45*u**2 - 117*u - 13. Let q(c) = 6*t(c) - 39*v(c). Give m(q(l)).
30924*l**4
Let k(l) = 343*l**2 - 7371428 + 7371428. Let d(y) = 2*y. Determine d(k(f)).
686*f**2
Let i(o) = -157259*o**2. Let w(q) = 195*q. Determine i(w(a)).
-5979773475*a**2
Let l(g) = 15*g. Let t(m) = -185*m**2 - 50823*m + 50823*m. Calculate t(l(i)).
-41625*i**2
Let n(c) = -134 - 16 + 150 + 18*c. Let x(q) = -60*q**2. Calculate x(n(y)).
-19440*y**2
Let g(q) = 4584689*q - 4584689*q - 3*q**2. Let v(r) = 2*r**2 + 147*r. What is v(g(d))?
18*d**4 - 441*d**2
Suppose 0 = 2*k + 76 - 86. Let r(i) = -8*i**2. Let j(o) = -18*o**2. Let u(l) = k*r(l) - 2*j(l). Let g(m) = -3*m**2. Determine u(g(y)).
-36*y**4
Let v be 4/(-3)*(-8 - -7)*21. Let x(f) = 15*f - v*f + 9*f + 6*f. Let i(m) = 6*m - 9*m - 12*m. Determine x(i(r)).
-30*r
Let a(h) = -1158*h - 1. Let g(l) = -22*l**2 + l - 1. Let y(n) = -133*n**2 + 6*n - 6. Let r(d) = -6*g(d) + y(d). Calculate r(a(x)).
-1340964*x**2 - 2316*x - 1
Let p(o) = 1458*o. Let r(s) = 2*s**2 - 46 + 46 + 58*s - 58*s. Calculate p(r(l)).
2916*l**2
Let z(w) = 4*w + 2*w - 6 + 6. Let l(p) = -18*p - 13*p + 31*p + 20*p**2. Calculate l(z(k)).
720*k**2
Let c(p) = 7*p**2 + 9*p. Let x(f) = 5*f**2 + 6*f. Let i(t) = 2*c(t) - 3*x(t). Let b(r) = 3*r + 4. What is b(i(h))?
-3*h**2 + 4
Suppose -k - 12*k = -65. Let u(n) be the third derivative of -1/30*n**k + 0*n**3 - 13*n**2 + 0*n + 0*n**4 + 0. Let z(d) = 2*d**2. Give u(z(b)).
-8*b**4
Let x(b) be the first derivative of 358*b**3 + 1704. Let w(p) = p**2. Determine x(w(k)).
1074*k**4
Let m(f) = 3*f**2. Let k be ((-640)/240 + (2 - -1))*1. Let a(v) be the first derivative of 0*v**2 + k*v**3 + 0*v + 18. Calculate m(a(d)).
3*d**4
Let o(c) = 11*c. Let d be 63/(-14)*8/(-6). Let s(l) = -7*l**2 + 12*l**2 - d*l**2 - l**2. Determine o(s(k)).
-22*k**2
Let n(s) be the first derivative of 2*s**3/3 + 11261. Let d(r) = 11*r - 4. Let g(t) = -45*t + 15. Let p(w) = -15*d(w) - 4*g(w). Determine n(p(c)).
450*c**2
Let b(u) = -13*u**2. Let p(o) = -1456*o + 7. Give p(b(z)).
18928*z**2 + 7
Let h(m) = -1658*m**2 + 3325*m**2 - 1666*m**2. Let b(d) = -d**2 + 75*d - 13. Calculate b(h(n)).
-n**4 + 75*n**2 - 13
Let b(s) be the first derivative of 614*s**2 - 1653. Let q(h) = h. Give b(q(n)).
1228*n
Let n(f) = 6*f**2 - 36*f + 2. Let u be n(6). Let x(s) = 3*s**u + 15 + 3*s**2 - 7*s**2 - 15. Let g(z) = -2*z + 36. Give x(g(j)).
-4*j**2 + 144*j - 1296
Let z(g) = 13*g. Let c(h) = -107*h + 6. Let j(u) = -3115*u + 175. Let a(p) = -175*c(p) + 6*j(p). Give z(a(v)).
455*v
Let w(u) = 76432*u + 3. Let a(s) = 12*s. Determine w(a(q)).
917184*q + 3
Let x(w) = -59*w**2 + 4*w + 4. Let y(a) = -44*a**2 + 3*a + 3. Let c(i) = -3*x(i) + 4*y(i). Let k(b) = -1096*b. What is c(k(m))?
1201216*m**2
Let c(v) = -2*v - 499. Let i(u) be the second derivative of -u**3/3 - 7683*u. Calculate c(i(g)).
4*g - 499
Let b(v) = -3*v. Let m = -1017 + 1011. Let d = 4 - 8. Let o(n) = -n**2 + 2*n. Let l(f) = -3*f. Let r(k) = d*l(k) + m*o(k). Give b(r(u)).
-18*u**2
Let s(d) = -6*d**2. Let y(r) = -136*r - 6. Let z(j) = -131*j - 4. Let l(p) = 2*y(p) - 3*z(p). Give l(s(b)).
-726*b**2
Let v(y) = -516 + 26*y + 516. Let o(m) = m + 2. Let x(k) = 1. Let c = 11 - 13. Let a(l) = c*x(l) + o(l). Determine v(a(w)).
26*w
Let a(q) be the second derivative of q**4/12 + 534*q - 11. Let d(b) = 12*b**2 - 3*b + 0 + 0. Determine d(a(m)).
12*m**4 - 3*m**2
Let f(o) = 87*o - 72. Let m(u) = 26*u - 26. Let k(s) = 4*f(s) - 11*m(s). Let b(z) = 12*z. Give k(b(g)).
744*g - 2
Let h(d) = 10*d**2. Let q(r) = -7*r + 14095. What is q(h(c))?
-70*c**2 + 14095
Suppose -35*n + 159*n - 481 - 15 = 0. Let a(f) be the third derivative of 0 - 1/8*f**n - 6*f**2 + 0*f**3 + 0*f. Let m(y) = 8*y**2. What is m(a(r))?
72*r**2
Let j(x) = 5*x. Let h(a) = 61*a - 4. Let b(o) = -258*o + 17. Let f(v) = -2*b(v) - 9*h(v). Calculate j(f(q)).
-165*q + 10
Let i(n) = 4*n**2 - 2*n - 6. Let f(k) = k + 3. Let l(v) = 4*f(v) + 2*i(v). Let h(j) = 14*j**2 - 3*j. Determine h(l(o)).
896*o**4 - 24*o**2
Let c(m) = 3*m + 18847. Let x(f) = -5*f + 7. Calculate x(c(b)).
-15*b - 94228
Let c(s) = -1406*s. Let l(u) = 1186*u**2. What is c(l(d))?
-1667516*d**2
Let w(z) = -11*z**2 + 3*z - 5*z + 2*z. Let s(x) be the second derivative of -x**4/12 + 9*x - 1. Determine w(s(f)).
-11*f**4
Let u(i) = i + 2. Let c(q) = -1. Let g(t) = -2*c(t) - u(t). Let n(a) = 193*a + 23. Let x(j) = 115*j + 13. Let v(o) = 3*n(o) - 5*x(o). Calculate v(g(d)).
-4*d + 4
Let t(x) = -2820679*x. Let o(y) = 18*y**2. What is t(o(c))?
-50772222*c**2
Let s be (78/(-52))/((-2)/44). Let i(a) = -2*a + 32 + 0*a + s - 65 + 8*a**2. Let d(t) = 3*t. Calculate i(d(r)).
72*r**2 - 6*r
Let w(z) = 513351*z**2. Let n(x) = 4*x**2. Give w(n(q)).
8213616*q**4
Let t(d) = 36666*d - 1654*d**2 - 505*d**2 - 36666*d - 792*d**2. Let m(u) = 2*u. Calculate t(m(k)).
-11804*k**2
Let b(h) = -6 + 5*h + 6. Let p(u) be the first derivative of 5*u**2 - 13747. Give b(p(m)).
50*m
Let y be (0 - (-8)/(-28))*-14. Suppose -y*z + 21 + 11 = 0. Let q(x) = -16 - 2*x**2 + 24 - z. Let s(d) = -10*d**2. Give q(s(j)).
-200*j**4
Let q(v) = -v - 162. Let y(b) = -13*b + 72. Let m(k) = 196*k - 1092. Let f(x) = -6*m(x) - 91*y(x). Determine q(f(j)).
-7*j - 162
Suppose 51*h = 61*h - 520. Let i(f) = -106*f - 78. Let r(g) = 12*g + 9. Let a(z) = h*r(z) + 6*i(z). Let y(d) = -18*d. What is a(y(m))?
216*m
Let y(b) = 21*b. Let t(u) = 2210*u + 12. Determine y(t(v)).
46410*v + 252
Let s(v) = 540874*v. Let t(i) = 9*i**2. Give s(t(n)).
4867866*n**2
Let p(i) be the second derivative of 0*i**2 + 6*i - 17/6*i**3 - 3. Let y(s) be the second derivative of -s**4/4 + 2*s. Give y(p(b)).
-867*b**2
Let j(m) = 0*m + m**2 + 0*m. Let n(s) = 53*s - 93*s - 77 + 58*s. Let d(q) = -9*q + 42. Let z(p) = -11*d(p) - 6*n(p). Give z(j(o)).
-9*o**2
Let n(m) = -2144*m**2. Let q(b) = -14*b. Let v(i) = -17*i. Let p(j) = 5*q(j) - 4*v(j). Determine p(n(t)).
4288*t**2
Suppose 24*z = 40*z - 16. Let x(o) =
|
{
"pile_set_name": "DM Mathematics"
}
|
2288160*f**3
What is the third derivative of 2727*y**5 - 18*y**4 + 3*y**3 - 4559802*y**2?
163620*y**2 - 432*y + 18
What is the third derivative of -c**6*p + 2*c**3*p**2 - 3806*c**3 - 2*c**2*p**2 + c**2*p - 12*c**2 - 1026*c*p**2 - 9*p**2 wrt c?
-120*c**3*p + 12*p**2 - 22836
What is the second derivative of 9*m**4 + 26*m**3 - 61*m**2 - 192*m - 318 wrt m?
108*m**2 + 156*m - 122
Find the third derivative of -543*g**4 + 61*g**3 - 2*g**2 + 19265*g wrt g.
-13032*g + 366
Differentiate 241*i*l**2*u - 11*i*l*u + 119*i*u - 61*i + 3*l**2*u - 1 wrt l.
482*i*l*u - 11*i*u + 6*l*u
What is the third derivative of 1252918*o**5 - 6*o**2 + 238*o - 6?
75175080*o**2
Differentiate -109468*k**2*s - 191*k**2 - s - 71 wrt s.
-109468*k**2 - 1
Find the second derivative of -69671*q**2 + 6*q + 4742 wrt q.
-139342
What is the second derivative of -11720*a**2*u**2 + a**2 - 2473*a*u + 4*u**3 wrt u?
-23440*a**2 + 24*u
What is the derivative of -83*k**2*u + 30871*k*u - 253385*u + 1 wrt k?
-166*k*u + 30871*u
Differentiate 88*f**2*o**2 + 5266467*f**2 + 2*f*o + 6142*o wrt o.
176*f**2*o + 2*f + 6142
What is the first derivative of 4655*h*l**3*p + 2*h*l**3 - 4*h*l**2 + 6*h*p - 1071 wrt p?
4655*h*l**3 + 6*h
Find the second derivative of -y**4 - 1646*y**3 + 4*y**2 - 25009*y wrt y.
-12*y**2 - 9876*y + 8
Find the second derivative of -317884*g**3 + 250093*g wrt g.
-1907304*g
Find the first derivative of -247*l**2*w + 3*l**2 - l*w**2 + l*w - 6491*w**2 wrt l.
-494*l*w + 6*l - w**2 + w
What is the second derivative of 12113*h*t*u**2 - 2036*h*t*u - 2*h*t - 17*h*u + t*u**2 wrt u?
24226*h*t + 2*t
What is the second derivative of 4*s**4 + 34*s**3 + 9*s**2 - 1807*s + 1?
48*s**2 + 204*s + 18
What is the third derivative of 17023*y**5 - 52213*y**2 wrt y?
1021380*y**2
What is the first derivative of -1466339*v - 1034567?
-1466339
Find the second derivative of -2*c**2*i**2*u**2 + 4*c**2*i**2*u + 16354*c**2*i*u**2 + 3861*i**2*u wrt u.
-4*c**2*i**2 + 32708*c**2*i
Find the first derivative of 1035*w**2 - 93*w - 426453 wrt w.
2070*w - 93
What is the derivative of -3*f**4 - 4252*f - 7599 wrt f?
-12*f**3 - 4252
What is the second derivative of -2*c*n**3 + 25931*c*n**2 - 18*c*n + 99*c - 2*n**3 + 4*n + 6 wrt n?
-12*c*n + 51862*c - 12*n
Find the third derivative of -6*k*y**4 - k*y**3 + 137*k*y**2 - 772*y**4 - y**3 + 934*y**2 wrt y.
-144*k*y - 6*k - 18528*y - 6
Find the second derivative of -8*l**5 - 12*l**3 - 511*l**2 + 403*l + 112 wrt l.
-160*l**3 - 72*l - 1022
What is the third derivative of -2*l**5 - 24392*l**3 - 54434*l**2 wrt l?
-120*l**2 - 146352
What is the third derivative of -2*p**3*q**2 + 25708*p**3*q - 4*p**3 + 477*p**2*q**2 - 282*p**2*q - p**2 + 2*p + 2*q wrt p?
-12*q**2 + 154248*q - 24
What is the third derivative of -607*i**6 + 41*i**4 + 170228*i**2 wrt i?
-72840*i**3 + 984*i
Find the third derivative of -d*o**3*q**3 + 74193*d*o**3*q + 16*d*o**2*q - 2*d*o*q + 10*d*o - o**2*q**3 wrt o.
-6*d*q**3 + 445158*d*q
Find the second derivative of -189362*o**4 - 23114*o.
-2272344*o**2
Find the second derivative of 2*n**5 + 93554*n**4 - 2*n**2 + 114194*n.
40*n**3 + 1122648*n**2 - 4
Find the second derivative of 13*r**2*u**2*y + 2*r**2*u**2 + 2*r**2*u*y - 2*r**2 + 23*r*u*y - 75*u**2*y + 2*u**2 - 4*u + 2*y wrt u.
26*r**2*y + 4*r**2 - 150*y + 4
What is the second derivative of -7*k**4*p - 8478*k**4 - 2*k*p + 2*k - 10*p + 1260 wrt k?
-84*k**2*p - 101736*k**2
What is the second derivative of -2*g**3*l**2 + 2*g**3*l - 1235*g**3 + 21519*g*l**2 wrt g?
-12*g*l**2 + 12*g*l - 7410*g
What is the third derivative of 2*w**6 - 18534*w**4 + 6*w**2 - 3*w + 1248?
240*w**3 - 444816*w
Differentiate 32*h*k*w + 3*h*k - 115*h*w + 2*h + 1662*k*w + 104*k with respect to h.
32*k*w + 3*k - 115*w + 2
What is the derivative of -2*j**2*u*w + 386*j**2*u - 36*j**2 + 208*j*u*w**2 + j*u + 22*j*w**2 - 2*j wrt w?
-2*j**2*u + 416*j*u*w + 44*j*w
What is the second derivative of -8684*c**2*s*u**2 + 5*c**2*s*u + 154*c**2*u wrt u?
-17368*c**2*s
Find the third derivative of -53653*y**3 - 60*y**2 - 112.
-321918
What is the third derivative of -7845*o**4 + 22*o**3 - 2*o**2 + 266629*o?
-188280*o + 132
Find the third derivative of -2111945*i**5 - 10*i**2 - 76737 wrt i.
-126716700*i**2
Find the third derivative of 1165794*t**6 + 3*t**2 + 24874*t wrt t.
139895280*t**3
Differentiate -a**2*w**3 - 2*a**2*w*x + 85*a**2*w*y - 6*a*w**3*y + a*w**2 + 2*a*w*x - 97*a*x*y + 240*a*x - w**2 with respect to y.
85*a**2*w - 6*a*w**3 - 97*a*x
What is the derivative of 895*r**2*v**2 + r**2*v - 11*r*v**2 + 27875*v**2 wrt r?
1790*r*v**2 + 2*r*v - 11*v**2
Find the second derivative of -16*j**3*m**2 + 2*j**3*m*z**2 + 3*j**2*z**3 + 112*m**2*z**3 - m*z + 40*m wrt m.
-32*j**3 + 224*z**3
Differentiate -83523*q + 74109.
-83523
Find the second derivative of 20*y**2*z**2 + 2*y**2*z + 136*y**2 - 17886*y*z + 3*z**2 wrt y.
40*z**2 + 4*z + 272
What is the second derivative of 118*c*i**3 + 5*c*i**2 + 260*c*i + 3*c + 2*i**3 + 2*i**2 - 2*i wrt i?
708*c*i + 10*c + 12*i + 4
Find the third derivative of -2*i*w**3 + 832*i*w**2 - i*w*z**3 + 2*i*w - 2*i + 240833*w**3*z**3 + 6*z**2 wrt z.
-6*i*w + 1444998*w**3
Find the second derivative of -3*b**3*h**2 - b**3*h + b**3 + 8*b**2*h**2 - 231754*b*h + 2*b + 922*h**2 - h wrt h.
-6*b**3 + 16*b**2 + 1844
What is the second derivative of 81552*p**2*t**3 + 7*p**2*t + 2*p*t + 3569*p wrt t?
489312*p**2*t
What is the second derivative of -23027*o**2 - 772*o wrt o?
-46054
Differentiate 1784*w**2 - w + 614480 with respect to w.
3568*w - 1
Differentiate -b**3 - 2070*b**2*d*z - 7*b*d + 4*d*z - 3*d - 19*z - 292 with respect to b.
-3*b**2 - 4140*b*d*z - 7*d
What is the third derivative of -6*j**2*k*q**3 + 13032*j**2*q**3 + 4585*j**2*q**2 - 2*j*k + 99*j*q**2 - 2*k*q wrt q?
-36*j**2*k + 78192*j**2
What is the third derivative of 171*i**6 - 114*i**2 + 3*i - 3 wrt i?
20520*i**3
What is the derivative of -630607*n + 281650?
-630607
What is the first derivative of 1481*h**3*l - 30*h**3 - 6*h**2*l + 420*h**2 + h + 12*l wrt l?
1481*h**3 - 6*h**2 + 12
What is the second derivative of -6*f*n**3*p - 2*f*n**2*p - 1179*f*n*p**2 - 9*f*p**2 - n**3*p**2 + 297*n**2 - 2*n wrt p?
-2358*f*n - 18*f - 2*n**3
Find the third derivative of -4686*i**2*m**4 + 2*i**2*m**2 - 17119*i**2 wrt m.
-112464*i**2*m
Find the third derivative of 3192*o**3*y**4 - 352*o**3*y + 70*o**2*y**2 + 3*o*y**5 wrt y.
76608*o**3*y + 180*o*y**2
What is the third derivative of 5502965*p**3 - 229802*p**2 + 4*p?
33017790
Find the third derivative of 247*u**6 - u**5 + 2*u**3 + 47*u**2 + 3987 wrt u.
29640*u**3 - 60*u**2 + 12
What is the derivative of -575795*g**3 + 359348 wrt g?
-1727385*g**2
Find the second derivative of -327*o**5 + 4*o**4 - 11*o**2 - 384*o + 6.
-6540*o**3 + 48*o**2 - 22
What is the derivative of 603895*p - 221816?
603895
What is the first derivative of -32*j*x**3 - 3*j*x**2 + 4*j*x - 80*j + 23*x**3 + 116*x wrt j?
-32*x**3 - 3*x**2 + 4*x - 80
Find the second derivative of 244786*q**3*t*y**2 + q**3*t*y - 2*q**2 + 3*q*t*y + 4*q*y**2 + 65*t*y**2 - t*y + 3*y wrt q.
1468716*q*t*y**2 + 6*q*t*y - 4
Differentiate -15*x**4 - 52*x**2 - 3*x + 34422 with respect to x.
-60*x**3 - 104*x - 3
Find the second derivative of 57*z**4 - 3434*z**2 + 29*z + 10572 wrt z.
684*z**2 - 6868
Differentiate 339*t**3 - 3296*t + 3581030 with respect to t.
1017*t**2 - 3296
Find the first derivative of 11*c**3 - 5*c**2 + 316*c + 764224 wrt c.
33*c**2 - 10*c + 316
Differentiate 8923*s**4 - 72288 with respect to s.
35692*s**3
What is the second derivative of -1859510*p**2 - 1253381*p?
-3719020
What is the second derivative of -511*v**4 - 16*v**3 + 5*v**2 - 150217*v wrt v?
-6132*v**2 - 96*v + 10
What is the derivative of g**3*l - 97074*g**3 + 1506*g**2*l**2 wrt l?
g**3 + 3012*g**2*l
What is the derivative of -233266*c + 591352 wrt c?
-233266
What is the third derivative of -20909*r**6*s**3 + 810*r**2*s**3 + r**2*s wrt r?
-2509080*r**3*s**3
What is the second derivative of -77833*m**3*v**2 + 421*m**3*v - m**3 - 6*m**2*v + m**2 - 6*v wrt v?
-155666*m**3
Differentiate 220298*h**3 + 640510.
660894*h**2
What is the second derivative of -c**3*p**2 + 57*c**3*p + c**3 + 20*c**2*p**2 + 198*c**2*p + c*p**2 + 252*p**2 wrt p?
-2*c**3 + 40*c**2 + 2*c + 504
Find the second derivative of 2855084*k**2 + k - 3965700 wrt k.
5710168
What is the second
|
{
"pile_set_name": "DM Mathematics"
}
|
n + 135. Let k(z) = 5*a(z) - 2*d(z). Determine w so that k(w) = 0.
-1, 43
Let n(v) = 5*v**2 + 1426*v + 576. Let p(y) = -18*y**2 - 4276*y - 1728. Let t(m) = 16*n(m) + 5*p(m). Factor t(c).
-2*(c - 144)*(5*c + 2)
Let j(l) = -4*l**3 + 29*l**2 + 36*l + 6. Let a(x) = -20*x**3 + 148*x**2 + 184*x + 32. Let w(h) = 3*a(h) - 16*j(h). Let w(m) = 0. Calculate m.
-1, 0, 6
Let s(g) = g**2 - 2. Let b(j) = 2*j**2 - 218*j + 112. Let u(p) = b(p) + 2*s(p). Determine o, given that u(o) = 0.
1/2, 54
Factor -7678/5*z - 2/5*z**3 - 3842/5*z**2 - 3838/5.
-2*(z + 1)**2*(z + 1919)/5
Let h(p) = -49*p**2 - 1133*p + 5798. Let k(c) = -23*c**2 - 566*c + 2901. Let l(g) = 6*h(g) - 13*k(g). Solve l(y) = 0 for y.
-117, 5
Let y(i) = -i**5 - 4*i**4 - i**2 + 2. Let s(x) = -99*x**5 + 91*x**4 + 515*x**3 + 458*x**2 + 127*x. Let t(f) = s(f) + 3*y(f). Let t(j) = 0. Calculate j.
-1, -2/3, -1/2, -1/17, 3
Let v(i) be the second derivative of 0 + 7/3*i**3 - 15*i + 0*i**4 + 1/1260*i**6 + 1/210*i**5 + 0*i**2. Let s(p) be the second derivative of v(p). Factor s(z).
2*z*(z + 2)/7
Suppose -16*f + 14 = -2. Suppose -83*a + a**2 + 165*a - 2 - 84*a - f = 0. What is a?
-1, 3
Let w be 360/150 - (-4 + 8)/(2 + 8). Solve -2/3*u**4 + 2*u - 2*u**3 + 0 + 2/3*u**w = 0.
-3, -1, 0, 1
Suppose 6 = -5*j + 5*i - 9, j - 1 = -3*i. Let s be (-276)/(-506) - j/(-165)*12. Factor -36/5*u + s*u**2 + 162/5.
2*(u - 9)**2/5
Let v(c) be the first derivative of -1/6*c**2 - 51 - 2*c + 1/9*c**3. What is k in v(k) = 0?
-2, 3
Let q be (-4 - (-6)/2)/(5/(-15)). Solve 30*o**2 + 16*o + o**2 - 75*o**2 + 8*o**q + 20 = 0.
-1/2, 1, 5
Let x = 1121958 + -286097936/255. Let t = x + -62/15. Suppose -t - 10/17*g**2 - 54/17*g = 0. Calculate g.
-5, -2/5
Factor 97/4*m - 1/4*m**2 - 1/4*m**3 + 385/4.
-(m - 11)*(m + 5)*(m + 7)/4
Suppose -4118*i = 3*q - 4113*i - 165, -55 = -q - 4*i. Solve -10/3*z**2 + q*z + 85/3 = 0 for z.
-1/2, 17
Let c = -7/117051 + 117079/468204. Factor -15/4*w**2 + c*w**3 + 0 + 9*w.
w*(w - 12)*(w - 3)/4
Suppose -1600*p + 5360 = -2640. Factor -8*z + 14*z**2 + 0 + 1/2*z**p - 6*z**3 - 1/2*z**4.
z*(z - 2)**2*(z - 1)*(z + 4)/2
Suppose -93*j = -117*j + 120. Let p be ((-104)/48 + 3)/j. Factor -8/3 - 4/3*r - p*r**2.
-(r + 4)**2/6
Determine q so that -2/9*q + 2/9*q**3 - 12*q**2 + 12 = 0.
-1, 1, 54
Factor 3/8*n**2 + 69/4*n + 387/8.
3*(n + 3)*(n + 43)/8
Factor 169*g**2 + 12*g**3 - 14*g**3 - 57*g**2 + 16*g - 49*g**2 - 61*g**2 - 24.
-2*(g - 2)**2*(g + 3)
Let f be 25/(-600)*21*(512/(-280) - (-10)/25). Suppose -f*d**5 + 5 + 10*d - 25/4*d**4 - 35/4*d**3 + 5/4*d**2 = 0. What is d?
-2, -1, 1
Factor -16*c**4 - 4*c**5 + 132 - 62*c**2 - 10*c**2 - 24 - 595*c**3 + 491*c**3 + 108*c - 20*c**4.
-4*(c - 1)*(c + 1)*(c + 3)**3
Let g be ((-21774)/(-30))/(5/(-2) + 3). Let x = g - 1451. Factor -x*u**3 - 12/5 + 12/5*u**2 + 3/5*u.
-3*(u - 4)*(u - 1)*(u + 1)/5
Let q(c) be the second derivative of 3*c**5/20 - 49*c**4/2 + 1040*c**3 + 24336*c**2 + 4075*c. Solve q(t) = 0 for t.
-6, 52
Suppose 3*s = 11 + 79. Suppose -28 + 12 = n - 5*x, 3*x = 12. Determine m, given that 4*m**4 + 100*m - n*m**3 - s*m - 4*m**2 - 32*m - 34*m = 0.
-1, 0, 1
Find a, given that -1728/7 - 60/7*a**2 + 576/7*a + 2/7*a**3 = 0.
6, 12
Let k be (-5)/(-1) + 141 + -2. Let d = -99 + k. Suppose 90*y**4 + 35*y**3 + d*y - 2 + 2 - 95*y**4 - 75*y**2 = 0. Calculate y.
0, 1, 3
Suppose -2*n = -1 + 25. Let i be n/9 + 10/3. Determine f, given that 3*f**3 - 8*f**3 - f**i - 4*f**2 + 0*f**3 = 0.
-1, 0
Let a(p) be the second derivative of 11*p**7/441 + 31*p**6/105 + 97*p**5/105 - p**4/7 - 205*p**3/63 - 25*p**2/7 + 2133*p. Determine w, given that a(w) = 0.
-5, -3, -1, -5/11, 1
Let t be (0 - 4 - -1)/1 - -5. Let h = 9 - 5. Factor q**3 + t*q**4 + q**3 + 4*q**3 - 3*q**5 + q**h.
-3*q**3*(q - 2)*(q + 1)
Suppose -46*x - 6 = -48*x. Suppose x*o = -2*s + 7, 5*o - 5 = -5*s + 5. Let 0*h - 2/15*h**o + 0 - 4/15*h**2 + 2/5*h**4 = 0. What is h?
-2/3, 0, 1
Let n(g) be the third derivative of -17*g**2 - 1/12*g**5 - 95/12*g**4 - 185/6*g**3 + 0 - 5*g. Factor n(l).
-5*(l + 1)*(l + 37)
Let z(o) be the first derivative of -5*o**6/3 - 256*o**5/5 + 327*o**4/2 - 500*o**3/3 + 56*o**2 - 3599. Find a, given that z(a) = 0.
-28, 0, 2/5, 1
Solve 2/9*i + 1/9*i**4 + 4/9*i**3 + 0 + 5/9*i**2 = 0.
-2, -1, 0
Let x(i) be the second derivative of i**4/138 + 73*i**3/23 + 10*i - 51. Suppose x(v) = 0. Calculate v.
-219, 0
Suppose -3 + 17 = 7*d. Find a such that 4*a**4 + 234*a + 32*a**d + 15*a**3 + 5*a**3 - 218*a = 0.
-2, -1, 0
Let c(n) be the first derivative of -n**5/10 - 53*n**4/16 - 75*n**3/2 - 1309*n**2/8 - 605*n/2 + 4647. Let c(x) = 0. Calculate x.
-11, -5/2, -2
Let m(a) be the second derivative of a**5/140 + 11*a**4/84 - 76*a**3/21 - 7089*a. Find c, given that m(c) = 0.
-19, 0, 8
Let z(n) = -n**2 - 47*n + 1431. Let c be z(-68). Factor 2/9*g - 2/9*g**c + 4/9 - 4/9*g**2.
-2*(g - 1)*(g + 1)*(g + 2)/9
Factor -770/3*o + 1160/3*o**2 + 64 - 260*o**3 + 200/3*o**4 - 2/3*o**5.
-2*(o - 96)*(o - 1)**4/3
Let n(w) be the second derivative of -w**6/75 - w**5/5 + 23*w**4/6 - 16*w**3/3 - 204*w**2/5 + 2*w - 169. Suppose n(y) = 0. What is y?
-17, -1, 2, 6
Let n be 5/40*74*4. Suppose 4*y + 5 = n. Factor 3 - y - p**2 + 3*p**2 + 3*p**2 + 20*p**3 - 20*p.
5*(p - 1)*(p + 1)*(4*p + 1)
Let h(i) be the second derivative of -2*i**7/315 - i**6/75 + 2*i**5/25 + 7*i**4/90 - 2*i**3/15 - 80*i + 9. Suppose h(o) = 0. Calculate o.
-3, -1, 0, 1/2, 2
Let w = -449 - -447. Let c(o) = 3*o**3 + 38*o**2 - 129*o + 98. Let z(h) = -21*h**3 - 267*h**2 + 903*h - 690. Let x(r) = w*z(r) - 15*c(r). Factor x(n).
-3*(n - 2)*(n - 1)*(n + 15)
Let a(c) be the third derivative of -c**6/300 + 37*c**5/150 - 104*c**4/15 + 256*c**3/3 + 76*c**2 - 6*c. Factor a(o).
-2*(o - 16)**2*(o - 5)/5
Let c(r) = -2*r**3 - 63*r**2 - 28*r + 95. Let k be c(-31). Let b(x) = 56*x**2 - 46*x. Let g(v) = 2*v**3 + 2*v**2 + v. Let d(l) = k*g(l) - b(l). Factor d(p).
4*p*(p - 12)*(p - 1)
Let j(s) = -s**4 + 8*s**3 + 17*s**2 + 6*s. Let i = -76 + 74. Let y(n) = -n**3 - n**2 + n. Let d(a) = i*y(a) - j(a). Suppose d(h) = 0. What is h?
-1, 0, 8
Suppose 4*d - 6 = 14. Let g be 52/(-130) + (-124)/(-10) + -1. Determine j, given that d*j**5 - 13*j**4 + g*j**4 + 29*j**4 + 40*j**3 + 20*j**2 - 2*j**4 = 0.
-2, -1, 0
Suppose 5*b = -5*l + 140, 19 = -4*l + 4*b + 99. Find i, given that 562 - 12*i**2 + 16*i**2 - l*i + 222 + 136*i = 0.
-14
Suppose -151*w + 154*w = 162. Factor 4*u**3 - 225 - w*u**3 + 1548*u**2 + 5*u**4 - 1408*u**2 - 28*u - 2*u.
5*(u - 5)*(u - 3)**2*(u + 1)
Find k such that 0*k + 1/5*k**2 + 17/10*k**4 + 19/10*k**3 + 0 = 0.
-1, -2/17, 0
Let q = -201779/780 + 139/156. Let v = q + 261. Solve -32/5*r + 16/5 - 108/5*r**2 - 76/5*r**3 - v*r**4 = 0 for r.
-2, -1, 1/4
Suppose 9*k = -4*k + 858. Let z be (-6)/k*-2 + 97/11. Factor -z*r**3 + 2 + 14*r**3 - 2.
5*r**3
Let s = -370397/4 + 92600. Find x such that -s*x**3 - 1/4*x**2 - 1/4*x**5 - 3/4*x**4 + 0 + 0*x = 0.
-1, 0
Let p(c) be the second derivative of 0*c**2 - 1/30*c**6 + 226*c + 0*c**4 + 3/4*c**5 + 0 + 0*c**3. Determine x so that p(x) = 0.
0, 15
Let m be (-2)/((-18)/5) + (-52)/(-117). Let a(x) = 4*x**2 - 7*x - 6. Let q(w) = 2*w**2 - w + 2. Let j(z) = m*q(z) - a(z). Find y, given that j(y) = 0.
-1, 4
Factor -15*l**5 + 6594*l**4 - 90363*l**2 - 200037*l**2 - 778796*l**3 + 55436*l**3 - 53*l + 53*l.
-3*l**2*(l - 220)**2*(5*l + 2)
Let f(l) be the third derivative of l**6/60 - l**5/6 - 25*l**4/6 - 139*l**2 - 2*l. Determine g so that f(g) = 0.
-5, 0, 10
Let i(z) = z**2 + 19*z + 73. Let r be i(-14). Let j(k) be the first derivative of -7 + 2/3*k**r + k**2 - 4*k. Suppose j(n) = 0. What is n?
-2, 1
Factor 63 + 496*j + 92 + 100 + 164 + 4*j**3 + 253 + 88*j**2.
4*(j + 2)*(j + 6)*(j + 14)
Let q = 882 + -879. Find x, given that 49 + 451 - 6*x**q + 105*x**2 + 600*x + 9*x**3 + 2*x**3 = 0.
-10, -1
Solve -109*i - 3*i**3 + 11*i**2 + 240 - i**3 - 11*i**2 + 285*i + 20*i**2 = 0 for i.
-3, -2, 10
Let b(t) be the second derivative of -2/15*t**4 - 1/30*t**3 - 4*t + 1/100*t**5 + 4/5*t**2 - 3. Factor b(a).
(a - 8)*(a - 1)*(a + 1)/5
Let f(s) be the second derivative of 0*s**2 + 7/45*s**7 + 3/25*s**5 - 119/225*s**6 + 8/45*s**3 - 36*s + 0 + 22/45*s**4. Suppose f(g) = 0. Calculate g.
-2/7, 0, 1, 2
Suppose 5*d = -5, -5 = 3*g - 2*d + 11. Let h be 8/(-48) - g/4. Let 4/3 - h*i**2 - 2*i = 0. Calculate i.
-2, 1/2
Let x(f) be the second de
|
{
"pile_set_name": "DM Mathematics"
}
|
e -8*u = -u + 483. Let s = u + -12. Let o = -66 - s. Solve 0*m + o = -5*m for m.
-3
Let w(j) = 94 - 41*j**2 + 12*j**2 + 5*j - 90. Let o be w(-1). Let r = o - -33. Solve 5 = -2*z - r*z for z.
-1
Let t be 102/30 - (2 - 24/15). Let i(l) = 3*l + 2*l - 5 - t*l**2 - 2*l**2 + l**2 + 2*l**3. Let g be i(2). Solve -4 = -g*x + x for x.
1
Let w(j) = -j**3 + 28*j**2 + 161*j + 132. Let x be w(33). Solve x = 6*r - 8 - 10 for r.
3
Suppose 4*q - 12*v + 37 - 121 = 0, -4*v - 28 = 0. Solve q = -32*r - 234 + 10 for r.
-7
Let f be -4 + 272/80 + (-116)/(-10). Solve f*h - 21 = -10 for h.
1
Let m(j) = -3*j + 25 + 16 + 7 + 4*j. Let h be m(-44). Solve 5*r - h = 1 for r.
1
Let b = -15 + -7. Let f be 14*(-24)/(-33) - (-4)/b. Suppose -f*z = -21*z + 33. Solve -l = z + 2 for l.
-5
Let y be (222/259)/(3/70). Solve 0 = -2*j - y + 12 for j.
-4
Suppose -3*l + 5*t = 7*t - 575, -7*t + 160 = l. Solve 25*n - l = -14*n for n.
5
Let y be ((-3)/6)/((-1)/6). Suppose -y*p + 11 = -13. Suppose 130 = -27*m + 454. Solve 4*t - p*t + m = 0 for t.
3
Let z(o) = o**2 - 58*o - 583. Let r be z(67). Solve 17*h - r = 27*h for h.
-2
Suppose 298*j + 89*j = 154413. Solve -c + 58*c = -j for c.
-7
Let b(d) = 4*d - 1. Let h be b(3). Let l(r) = -2*r**3 - 4*r**2 - 8*r - 6. Let a be l(-2). Solve 16*g - h*g = -a for g.
-2
Let k = 1470 - 1442. Solve -k*r + 34*r = 6 for r.
1
Suppose 0 = -28*j + 24 + 21 + 39. Solve 0 = -11*t + 14 - j for t.
1
Let n be ((-39)/2)/(4/((-96)/(-18))). Let h = 23 + n. Let j be (6/h - -8) + -2. Solve 0 = -7*d + j*d + 12 for d.
4
Let n = -143 + 445. Let s = -299 + n. Suppose 3*z - 10 = -4. Solve -s - z = 5*o for o.
-1
Suppose 3*q - 2849 = d, 3*q + 311*d - 316*d = 2869. Solve -898 + q = 10*g for g.
5
Let y be (28/8)/(4/(-24)*-3). Solve 4*r = y*r - 12 for r.
4
Let x(u) = -4*u + 13. Let l(k) = -10*k + 38. Let h(r) = 5*l(r) - 14*x(r). Let q be h(3). Solve -2*t = -34 + q for t.
4
Suppose -5*j + 97 + 193 = 0. Suppose 53*g - j*g = -30. Let b(v) = 7*v. Let m be b(1). Solve 4 = g*y - m*y for y.
-4
Let s(z) = 2*z**2 - 4*z - 1. Let d be s(3). Suppose -2*b = 4*w - 22, -d*w = 5*b - b - 44. Let m = -49 + 54. Solve 9 + b = -m*a for a.
-4
Let b(x) = -2*x. Let u be b(0). Let w(p) = p**2 - 2. Let n be w(2). Let g = 2 + n. Solve -2*f + u*f = g for f.
-2
Let y(w) = -w**2 + 96*w - 1084. Let s be y(14). Solve s*d = 53*d + 33 for d.
3
Suppose 8016 + 5424 = 160*r. Solve r = -14*t - 0 for t.
-6
Let j = 74 - 70. Let o = -33 - -48. Suppose b + o = j*b. Solve 3*w + b = -2*w for w.
-1
Suppose -v + 37 = -3*x + x, 5*x - 20 = 0. Let y = 57 - v. Suppose -175*w = -178*w + y. Solve w*q = 6 - 2 for q.
1
Let n be 4/(((-4)/9)/2). Let w be (104/(-6))/(n/27). Suppose 0*f + w = 2*f + 5*c, 3*f - 5*c = 14. Solve 7*a - f = 9*a for a.
-4
Let u be 1/(261/(-938) - 30/(-105)). Solve 0 = -u*s + 118*s + 144 for s.
9
Let c(q) = -q**2 - 7*q - 9. Let a be c(-5). Suppose 4*p - h = 35, 2*p + 2*h - a = 9. Suppose -p*b - 9*b = -0*b. Solve 1 + b = -t for t.
-1
Let x(t) = 536*t + 3788. Let g be x(-7). Solve 0 = 13*p - 4*p + g for p.
-4
Suppose 323*y - 289*y - 1564 = 0. Solve 2*t + y = 36 for t.
-5
Let v(z) = -z**3 + z - 2. Let c be v(-2). Let t = 2599 + -2595. Suppose -t*n + 26 = 2*w, c*n = -w - 4*w + 35. Solve l + 2 = w*l for l.
1
Let f be (1512/(-280))/(9/(-15)). Solve -f*p + 12 = -6*p for p.
4
Let j(y) = -9*y - 168. Let a be (-3 + 1)/((-10)/(-95)). Let q be j(a). Solve q*c + 5 - 20 = 0 for c.
5
Suppose -4*a + a = 3, 3*n + 65 = -2*a. Let c be 7/(n/12) + 2 + 2. Solve c = 5*i + 3 + 2 for i.
-1
Let c = -19 + 23. Suppose d - 3*d + c = 0. Suppose 5*u - 2 = d*i, 0*i = 5*u + 4*i + 4. Solve 0 = -2*f + 4 - u for f.
2
Suppose -15*c + 18*c = -15. Let w be (c/(-2))/(40/32). Let a = -5 - -9. Solve -a*q - 6 = -w for q.
-1
Suppose 7 - 25 = -2*m. Suppose -d = m*d - 30. Solve -16 = -d*y - y for y.
4
Let k be ((-310)/(-50) + -5)*30. Solve 0 = k*i + 74 - 2 for i.
-2
Let b(q) = q**2 - 11*q - 3566. Let o be b(-55). Solve 12*p + o = 4*p for p.
-8
Suppose 321*c = 313*c + 48. Solve 0 = c*u - 12 - 30 for u.
7
Let a(k) = k**3 + 3*k**2 - 4*k - 2. Let r be a(-3). Let z be (105/7 - 8)/(-1 - -2). Suppose -20 = -z*v - 20. Solve v = 5*w - 0*w - r for w.
2
Suppose 29408 = 6*n + 29342. Solve n*c - 6 = 5 for c.
1
Suppose 25*y = 1123 + 3102 + 75. Solve -41*h - y = 2*h for h.
-4
Let t be 45/(-5) - -7 - -4. Suppose 9 - 44 = -t*j + 5*i, -j - 5*i - 20 = 0. Solve j*p = 13 + 7 for p.
4
Let b(z) = -1012*z**2 + 6*z - 4*z - 4 + 1013*z**2. Let m be b(-4). Let n(j) = -j - 2. Let a be n(-4). Solve -m*f - 6 = -a*f for f.
-3
Suppose -5*l + 95 = -108*n + 111*n, 3 = 3*l. Solve -23*d - n = -13*d for d.
-3
Suppose -o = -5*s - 3*o + 13, -5*o = -20. Let d = 322 + -246. Suppose -j - 73 = -d. Solve s = j*z - 5 for z.
2
Let h(n) = -15 + 34 + 7 + 11*n + 17*n**2 - 7. Let r be h(-2). Solve r*m = 62*m + 12 for m.
4
Let s(z) = -7*z - 35. Let g be s(-5). Suppose 0 = n - w + 5, 2*w = 5*n - 2*w + 24. Let u be (-1)/((-44)/(-12) + n). Solve g*b - u*b = 3 for b.
-1
Let i(d) = -15*d + 43. Let g be i(3). Let v be (g - 1)*(-7)/21. Solve 5*z - v - 24 = 0 for z.
5
Let q be ((-264)/45 + 2/(-15))/(-2). Let w(b) = 2*b**3 - 3*b**2 + 6*b - 5. Let g be w(3). Let a = 44 - g. Solve -a*p + 17 = -q for p.
5
Suppose 6*t = -3*t - 198. Let r = t + 20. Let h be (r + 1)/(1/(-2)). Solve -6*x + 16 = -h*x for x.
4
Let s(r) = -4*r - 2. Let w be s(-3). Suppose -j + w = -2*i - 0, 0 = i + 5. Solve 0 = -2*z - j*z - 8 for z.
-4
Let x = -483 - -532. Suppose -2*c = -57 + x. Solve 3*o - 19 + c = 0 for o.
5
Suppose 7*a - 8*a + k - 3 = 0, -k = 5*a - 9. Let m be (-54 + 54)/(4 - a). Solve 4*r - 3*r + 5 = m for r.
-5
Suppose -p + 4*s + 70 = 0, -22*p - 5*s - 346 = -26*p. Solve -64 = -10*w - p for w.
-3
Let h(u) = -13*u + 407. Let m be h(18). Solve 176*b = m*b - 9 for b.
-3
Let s be 7/3 + (-210)/(-45) - 2. Solve -27*n + 96 = s*n for n.
3
Let v be (((-64)/12)/4)/((-16)/60) - -9. Solve 23 = 3*o + v for o.
3
Let c be 70/(-15)*5/((-15)/9). Suppose x + 3*f = 7 + c, -2*x - 4*f + 36 = 0. Solve -8*p + 5*p - x = 0 for p.
-4
Suppose 5*j - 39*o + 42*o - 116 = 0, -3*o = 2*j - 50. Solve -j = -105*q + 116*q for q.
-2
Suppose -2*o + 4*a = 316, -3*o = -0*o - 5*a + 470. Let i = -148 - o. Solve 3 = -i*w - 7 for w.
-5
Let b(s) = -s**3 + 24*s**2 + 6*s - 30. Let z be b(24). Let x be ((-120)/(-14))/(z/532). Solve -12*f = -2*f - x for f.
4
Suppose -2*f = 3*g + 34, -f - 6 = g + 9. Let q(l) = l**2 + 12*l + 1. Let z be q(f). Let d be (-16)/z + (-2)/(-5). Solve d + 3 = -v for v.
-5
Let r(b) = 2*b**3 - 3*b - 115 - 2*b - b**3 + 4*b**2 + 117. Let a be r(-5). Suppose 34 = 8*l + 2*t, 28 = l - 18*t + 23*t. Solve -l*c = a*c for c.
0
Let x be -9 + (63 - 66)/((-2)/1738). Solve x*a - 9 = 2607*a for a.
-1
Let s = -117 + 117. Let p = 154 + -154. Solve s*g - g - 5 = p for g.
-5
Suppose -12*n + 7*n + 60 = 0. Suppose 14*x - n*x = 0. Suppose x = -5*c + 75. Solve -c = -5*q + 5 for q.
4
Let f be ((-16)/3)/(-4)*72/32. Let x be (9/f - 3)*2/6. Solve x*c = -5*c - 25 for c.
-5
Let m(r) = -r**2 - 13*r - 13. Let k(v) = 6*v - 100. Let o be k(16). Let g be m(o). Solve -9*n - g = -5 for n.
-2
Let y(w) = 15*w - 48. Let o(n) = -5*n + 16. Let q(s) = -8*o(s) - 3*y(s). Let i be q(-5). Let g = i + -29. Solve -4*h - g = -4 for h.
-2
Let p = 73 - 71. Suppose -11 = 6*b - 4*b - 5*u, 0 = b - p*u + 4. Suppose 0 = -o - 1, -b*m + 5*o + 10 + 5 = 0. Solve m*z - 2 = 3*z for z.
1
Suppose -3*s - 1888 = -m - 7*s, 3*s - 6 = 0. Solve m*t = 1874*t + 18 for t.
3
Suppose -7 = 4*s + 5. Let g be ((-40)/15 - s)*12. Let n(b) = b - 4. Let y be n(g). Solve y = -j - 4*j + 15 for j.
3
Let v be (8/12)/1*18. Suppose 8*w - 44 = v. Solve -4*n - 1 - w = 0 for n.
-2
Let p = 323 - 195. Let n = 131 - p. Let j(c) = c**3 - 10*c**2 - 10*c - 3. Let z be j(11). Solve -z = -n*l + 7 for l.
5
Suppose 35*c - 352 = 1643. Solve 0 = -2*i + c - 59 for i.
-1
Let c be ((-120)/42 + 2)*(-112)/6. Solve -10*x = 6*x + c for x.
-1
Suppose 0 = -14*y + 109*y. Solve y = 11*r + 3 + 30 for r.
-3
Suppose 55*u - 63 = 48*u. Suppose n - 39 = u*w - 13*w, 3*w = 2*n + 21. Solve -w*o = -5*o - 12 for o.
3
Let s(z) be the second derivative of -12*z - 5/6*z**3 - 1/2*z**2 + 0. Let m be s(-1). Solve -m = -c + 5*c for c.
-1
Let w = 159 - 142. Suppose -p = -w + 6. Solve -p - 9 = -5*l for l.
4
Suppose -2*f + 127 = v, -20*f - 130 = -22*f - 2*v. Solve f*m - 70 = 48*m for m.
5
Let q(
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{
"pile_set_name": "DM Mathematics"
}
|
- 2*n**3 - 2*n**4 - 5*n**2 + 6*n**2 to the form h + p*n + g*n**2 + m*n**3 + s*n**4 and give p.
2
Rearrange -154*i**4 + 2*i**2 + i**3 + 156*i**4 + 4 + 0*i**3 to the form r*i**2 + w + q*i + h*i**4 + u*i**3 and give r.
2
Express (1 - 1 - 2*z)*(2 + 1 - 2)*(5 - 4 - 2) - z - 3*z + z in the form n + i*z and give i.
-1
Express 73*p - 73*p + 10*p**2 + (2*p + 0*p + 0*p)*(13*p - 17*p + 6*p) + 2*p**2 + 3*p**2 - 7*p**2 - 3*p**2 - 3*p**2 + 7*p**2 as h + g*p**2 + y*p and give g.
13
Express (6 - 4 + 3)*(3*f - 3*f + 2*f) + (2*f - 13*f + 2*f)*(1 + 1 - 4) in the form c + m*f and give m.
28
Express (0*r + 7*r - 3*r)*(11*r - 5*r + 8*r) as s*r**2 + b + g*r and give s.
56
Express (-2*g + 4*g + 2*g + (3*g + 2*g - 3*g)*(5 - 1 - 5) - 3*g + 2*g + 4*g)*((1 + 0 - 3)*(-3 - 3 + 4) + 1 + 1 - 3)*(-3 + 5 - 1) in the form p + o*g and give p.
0
Rearrange i - 8*i - 11*i to s + g*i and give s.
0
Rearrange -4*k - 10 + 10 + 8*k to r + w*k and give w.
4
Rearrange (-3*h + 3*h - 2*h)*(35 + 51 - 29) to r + z*h and give z.
-114
Rearrange (-4*f**2 + 2*f**2 + 4*f**2)*(-2 + 2 + 1) + 5 - 5 + 17*f**2 to y + s*f + g*f**2 and give g.
19
Express (2 - 32 + 0)*(2*b - 6*b + b) in the form p*b + f and give p.
90
Express 0*j**2 + 2 + j**3 + 3*j - 2*j**2 - 2*j**3 - 2*j as a*j**3 + q*j + i + v*j**2 and give v.
-2
Rearrange 12*a - 2082*a**3 - 2*a + 2076*a**3 to s + f*a**2 + c*a**3 + j*a and give c.
-6
Express 4*g**4 - 2*g**2 - 1 + 9*g - 2*g**3 - 10*g + 0*g**2 in the form h + p*g**4 + q*g**3 + f*g**2 + u*g and give f.
-2
Express -2*q**2 + 1 + 4*q - 3 + 4*q**2 + 0*q**2 as s*q**2 + v*q + o and give v.
4
Rearrange 55*h - h**3 + h**3 + h**3 + 4 + 4*h**4 - 54*h to the form f*h**4 + y*h + j + w*h**2 + m*h**3 and give y.
1
Rearrange -m - 9*m - 2*m**2 + 5*m**2 to the form v*m**2 + u + i*m and give i.
-10
Express ((-3*h - h + 2*h)*(4 - 1 - 1) + 0*h + 2*h - 4*h)*(-27 + 18 + 27)*(0 - 1 + 3)*(0 - 1 - 1) as q*h + u and give q.
432
Express (-2 + 7 - 3)*(-2*q - 2 + 2*q - q)*(44*q - 26*q - 24*q) in the form j + a*q + m*q**2 and give m.
12
Express -u**4 - 2*u - u**3 - u**3 + 0*u + 3*u + 2*u**2 in the form a*u + i + j*u**2 + g*u**3 + l*u**4 and give j.
2
Rearrange 0*n**2 + 23*n**3 - 24*n**3 - 4*n**2 to the form z*n**2 + q*n**3 + w*n + b and give w.
0
Express -1 - 3*j + j - 15*j in the form v + i*j and give i.
-17
Express -61 + 9*v**2 + 61 in the form n*v**2 + s + f*v and give n.
9
Rearrange -4*n + 5*n + 1 - 2*n + 4*n to the form j*n + p and give p.
1
Rearrange (9*j - 28*j - 22*j)*(0*j**3 - 2*j**3 + j**3) to z*j + s + r*j**4 + n*j**3 + u*j**2 and give n.
0
Rearrange (-105 + 37*i + 105)*(-3 - 4 + 5) to f + m*i and give m.
-74
Express (-5 + 4 - 1)*(-1 + 1 + m) + (2361 + 11*m - 2361)*(1 - 1 + 2) as n*m + j and give n.
20
Rearrange 3 - 1 - 14*j - 3 + 2 to s*j + q and give q.
1
Express -2*m**2 - 86 + 43 - m + 41 + m**3 + 3*m**4 in the form y + s*m**4 + v*m**2 + n*m**3 + c*m and give y.
-2
Express -3*x - 4 - x - 81*x**3 + 79*x**3 + (-6*x**3 + 5*x**3 + 3*x**3)*(-5 - 3 + 5) as p*x**2 + r + m*x**3 + l*x and give m.
-8
Express 2*f - 3*f + 3*f + (-1 + 2 - 3)*(-4*f + 2*f + 4*f) - 351 + 351 + 19*f - 3*f + 2*f + 2*f + (-1 + 1 - 1)*(-3*f - f + 2*f) in the form v*f + l and give v.
20
Rearrange -3*g + 2*g**2 - g**3 - 6*g**3 + 10*g**3 to the form r*g**3 + h*g + q*g**2 + j and give r.
3
Express (-2*z - 4*z + 5*z)*(2*z - 2*z + z) + 214 + 0*z**2 - 214 - 159*z**2 as n*z**2 + h + d*z and give n.
-160
Rearrange 3*i**4 + 3*i - 7*i - 15*i**4 - 1 + 10*i**4 to the form q*i**2 + r + s*i + m*i**4 + c*i**3 and give c.
0
Rearrange (2 - r - 2)*(3 - 3 - 6) to the form i + b*r and give b.
6
Rearrange -5*l**3 - 2*l + 33 - 33 - 2*l to k*l**3 + d*l + o*l**2 + p and give k.
-5
Express 9*x + 10*x - 2*x**2 - 2*x + (-2*x + 2*x - x)*(3*x - 4*x + 3*x) in the form y*x + o + s*x**2 and give s.
-4
Rearrange -3*r - 7 + 4*r + r to f + l*r and give l.
2
Rearrange l**2 - 4*l**2 - 3*l**2 + (2*l + 0*l + l)*(-3*l - 3*l + 5*l) to the form w + c*l + a*l**2 and give a.
-9
Express 4*c**2 - c**2 - c**2 - 14 + 3 in the form l*c + f*c**2 + x and give x.
-11
Rearrange (-3 + 2 + 0)*((3 + 1 - 2)*(-3*c + 3*c - c) - 2*c + 3*c + 0*c) to x*c + j and give x.
1
Express -2*z**4 - 3*z + 4*z**4 + 3 + z - 2 - 5*z**2 in the form q + b*z**4 + d*z + r*z**3 + m*z**2 and give m.
-5
Rearrange -41*q**2 - 29*q**2 + q**2 + 0*q**2 to the form y*q**2 + i + z*q and give z.
0
Rearrange -6*z + 237 - 237 to the form m + o*z and give m.
0
Rearrange -1 - 6*z**2 - 176*z**3 + 3*z**2 + 175*z**3 + (-1 - 3 + 2)*(0*z**3 + 2*z**3 - 5*z**3) to m*z**3 + d*z**2 + a + v*z and give a.
-1
Express -6*s**4 + s**4 - 2*s**4 + (-1 + 1 + s)*(-2*s**3 + 7*s**3 - 2*s**3) in the form h*s**2 + d*s**4 + w*s + c + q*s**3 and give c.
0
Express -f**4 + f**3 - 3*f - 249*f**2 + 2*f - 1 + 248*f**2 as d*f + l*f**4 + i*f**2 + y*f**3 + t and give d.
-1
Express (-2*p + 3*p + 0*p)*(0*p**3 + 2*p**3 - 4*p**3) + (-p + 6*p - 2*p)*(3*p**3 - 5*p**3 + 0*p**3) in the form s*p**2 + g*p**3 + n*p**4 + x*p + d and give d.
0
Express 10*h**2 + 8 - 2*h**2 - 7*h**2 as q + f*h**2 + s*h and give f.
1
Express -1 - 7*m + 1 - 23*m in the form g*m + u and give u.
0
Express 17*l - 86 + 86 as t + u*l and give u.
17
Rearrange (-2*z**3 - z**3 + 0*z**3)*(-3 + 1 + 5)*(1 + 2 - 2) to the form y*z + m*z**2 + n*z**3 + o and give y.
0
Rearrange 0*z**2 + 3 + 2*z**2 - 3 + 6 to f*z + g*z**2 + w and give w.
6
Rearrange (0 - 3*g + 0)*(3*g**3 + 25 - g**2 - 25) to s*g**4 + h*g + m*g**3 + w*g**2 + v and give s.
-9
Express 2*x - 3*x**3 - x - x**3 - 6*x as j*x**2 + q + i*x + o*x**3 and give o.
-4
Rearrange d**4 + 0*d**4 + 35 - 2*d**2 + 3*d - 2*d**3 - 2*d - 26 to the form r*d + z*d**2 + f*d**4 + l + v*d**3 and give l.
9
Rearrange (-128*s + 103*s**2 + 128*s)*(-1 - 2 + 2)*(4 - 1 - 1) to the form g*s**2 + y*s + q and give g.
-206
Express -4*o - 13*o**2 + 8*o - 2*o as s*o + j*o**2 + x and give j.
-13
Rearrange -6*v**2 + 3 + 0 + 0 to m*v + i*v**2 + d and give d.
3
Express (9 - 5 + 1)*(-1 + 1 - 3*x) - 5*x + 3*x - 2 + 4*x in the form k*x + a and give k.
-13
Rearrange (9*o + 3*o + 0*o)*(-10*o**2 + 2*o**2 + 4*o**2) to the form j*o**3 + y*o**2 + h*o + r and give j.
-48
Rearrange h - h**2 - 7*h + 10*h**3 + 5*h - 4*h to f + j*h**3 + n*h**2 + p*h and give f.
0
Express 7*j**3 + 0*j**3 - j**3 + (0 + 0 + j)*(-j**2 + 5*j**2 - 3*j**2) - 2*j**3 + 4 - 4 - j**3 + 2*j - 2*j as v*j + f + x*j**2 + b*j**3 and give b.
4
Rearrange -32*v - 26*v + 14*v - 2 to a + f*v and give a.
-2
Express (1 + 3 - 2)*(5*h + 0*h - 4*h) + (18 - 18 - 7*h)*(-4 + 4 - 3) in the form d*h + u and give d.
23
Express 8*a + 2*a + 6*a - 22*a as i + m*a and give m.
-6
Rearrange 5*c - 9*c + 9*c**2 + 4*c to x*c + t*c**2 + w and give t.
9
Rearrange -46*u - 4 + 21*u - 34 + 26*u to q + s*u and give q.
-38
Express (9*q**2 - q + q)*(7 - 4 - 1) + 3*q**2 - 2 + 2 as a*q + t*q**2 + n and give t.
21
Rearrange 2*s**2 - s**2 + 3*s**4 - 2*s**2 - 2 to the form d*s**2 + p*s**3 + m*s + f*s**4 + y and give d.
-1
Rearrange 5*p - 5*p + 8*p**2 + (-1 - 2 + 5)*(-4*p + 4*p - 2*p**2) + 1 + 0*p + 0*p - p**2 - 4*p**2 + 2*p**2 + 4*p**2 to the form x*p + i*p**2 + z and give z.
1
Express (-3 + 3 + d)*(-2*d + d - 3*d)*(d**2 + d**2 + 0*d**2) in the form h*d**3 + v + m*d + c*d**2 + u*d**4 and give u.
-8
Rearrange 3 - 5 + 777*c**4 - 775*c**4 + c + c**2 - c**3 to q*c**2 + u + j*c + z*c**3 + f*c**4 and give z.
-1
Rearrange -2*y + 11*y**2 + 2*y - 6*y**2 to the form f + q*y**2 + b*y and give b.
0
Express (13 - 47 + 26 - 2*d)*(-1 + 1 + d**2)*(-2 + 1 + 3)*(5 - 3 - 1) as f + j*d**2 + v*d + b*d**3 and give b.
-4
Rearrange (4*v + v - 3*v)*(0 + 28 - 19*v + 23*v) to the form w + f*v + k*v**2 and give k.
8
Rearrange 4 + 2*q**2 - 16 - 2*q**3 - 4*q + 12 to the form w*q**3 + k*q + t*q**2 + l and give k.
-4
Express 13*z**3 - 7*z**3 + z**2 + 6*z**3 in the form j*z**3 + q*z + b + h*z**2 and give j.
12
Rearrange (2*j**2 - 4*j**2 - 2*j**2)*(-3*j - 2*j**2 - j + 4*j**2) to m*j + k*j**4 + q*j**2 + p*j**3 + d and give p.
16
Rearrange -6*m + 21 + 14*m - 8*m - m**2 + 2*m**3 to g*m**3 + r*m**2 + k*m + i and give i.
21
Express -17 + 37 - 19 - 66*p**2 in the form u*p**2 + l*p + s and give s.
1
Express (-3 + 3 + q**2)*(q - q + 2*q)*(-4*q + 13*q + 3 + 1) as l + j*q**4 + s*q + t*q**3 + x*q**2 and give t.
8
Express 2 + 8 + 8*q + 4 - 11 as m + g*q and give g.
8
Express (-2 + 0 + 4)*(-3*w**3 - 2*w**3 + 4*w**3)
|
{
"pile_set_name": "DM Mathematics"
}
|
- 76*i*x**3 + 13*i*x**2 - x**3 - 5*x**2 wrt i.
-312*i**2*x + 724*x**3
Find the second derivative of 39*h**4 + 9*h**3 - 11*h**2 - 47024*h.
468*h**2 + 54*h - 22
Differentiate 160*d*l**2 - 5503*d*l + 715257*d wrt l.
320*d*l - 5503*d
What is the third derivative of -889516*w**3 + 96*w**2 - 4652?
-5337096
Differentiate 2*c**4*g**2 - 860193*c**2*g**2 + 2410123*g**2 wrt c.
8*c**3*g**2 - 1720386*c*g**2
What is the first derivative of 153662*v**3 + 141901 wrt v?
460986*v**2
Find the second derivative of 19862*z**5 - 41848*z.
397240*z**3
What is the second derivative of 56*n**3*v**2 - 172*n**2*v**2 + 33*n*v**2 + 104*n + 2*v**2 - 1 wrt n?
336*n*v**2 - 344*v**2
What is the second derivative of 15983*n**2 - 67765*n?
31966
Find the second derivative of -117825*l**4 + 54070*l wrt l.
-1413900*l**2
What is the third derivative of 774955*f**3 - 313304*f**2 wrt f?
4649730
Find the second derivative of -106108*r**2 - 101*r - 537.
-212216
Differentiate -1973*t**4 + 6*t*z**2 - 3*z**2 + 425*z - 19 with respect to t.
-7892*t**3 + 6*z**2
What is the third derivative of 42*h**2*y**3 - 9*h**2 - 870*h*y**6 - 5693*y**2 wrt y?
252*h**2 - 104400*h*y**3
Find the second derivative of 1767*o**3 - 9*o**2 + 73270*o wrt o.
10602*o - 18
Find the third derivative of 67*h*m**4 - 1855*h*m**3 - 2*h*m**2 - 147*h*m + 2*h + 2*m**3 - 1860*m + 3 wrt m.
1608*h*m - 11130*h + 12
What is the third derivative of 88239*b**3*h**2 + 3*b**2*h**2 + 20*b**2 + 210*b wrt b?
529434*h**2
What is the derivative of u**4 - 2212*u**2 - 3*u + 3618 wrt u?
4*u**3 - 4424*u - 3
What is the second derivative of 2034604*h**2 - 395*h + 717?
4069208
Find the third derivative of j*n**4 + 633*j*n**3 + 2*j*n**2 + 18*j*n - 10*n**3 + 3*n**2 + 2 wrt n.
24*j*n + 3798*j - 60
Find the first derivative of 30*i**2*w**2 + 1187202*i**2 + i*w**2 - 67*w**2 wrt w.
60*i**2*w + 2*i*w - 134*w
What is the second derivative of -133129*i**3 + 18*i - 3424 wrt i?
-798774*i
Find the third derivative of -227*o**5 - o**4*x - 8*o**3 - 2*o**2 - 6*o*x - 78*o + 1 wrt o.
-13620*o**2 - 24*o*x - 48
Find the second derivative of 64678*f**5 - 78*f + 173 wrt f.
1293560*f**3
Find the second derivative of 57890*d**2 - 36270*d wrt d.
115780
Find the second derivative of 10*v**5 - 3659*v**4 - 403190*v.
200*v**3 - 43908*v**2
Differentiate -34926*f*o**2 + 11956*o**2 + 3 wrt f.
-34926*o**2
What is the first derivative of v**2 + 17650*v - 1651362 wrt v?
2*v + 17650
Find the third derivative of -84*l**2*x**3 + 19*l**2*x**2 - 7*l*x**2 - 20*l*x + 51*x**4 wrt x.
-504*l**2 + 1224*x
What is the derivative of -1128248*d + 4412102 wrt d?
-1128248
Find the second derivative of -56709*j**2 - 67567*j.
-113418
What is the second derivative of -37612*k**2*q**3 + 4*k*q**3 + k*q**2 + 82*q**2 + 1 wrt k?
-75224*q**3
Find the third derivative of 3311742*c**3 + 1259691*c**2.
19870452
Find the second derivative of 174205*l**2*y**2 - 11*l**2*y + 2*l*y**3 - 512*l*y wrt y.
348410*l**2 + 12*l*y
What is the derivative of 276135*c*o + 210830*o - 1 wrt c?
276135*o
Differentiate -10*u*w - 2592547*u - 3*w**2 + 6937*w wrt w.
-10*u - 6*w + 6937
Find the second derivative of 396574*i**3 - 3530*i.
2379444*i
Differentiate -3*d**2*v**3 - 46404*d**2 - 6196*d*v**4 + 2*d wrt v.
-9*d**2*v**2 - 24784*d*v**3
Differentiate 20*u**3 + 31698*u + 266751 wrt u.
60*u**2 + 31698
What is the second derivative of 3*x**4 - x**3 - 15660*x**2 - 265779*x wrt x?
36*x**2 - 6*x - 31320
What is the second derivative of c**5*k + 79918*c**4*k - 7*c**2 - 2669*c*k - 9*c + 2 wrt c?
20*c**3*k + 959016*c**2*k - 14
Find the third derivative of -6*i**6 - 347*i**4 + 2*i**3 + 11*i**2 - 10*i + 44 wrt i.
-720*i**3 - 8328*i + 12
What is the second derivative of 41821*c**3*v**2 + 401*c**3 + 101*c**2 + 9*c*v**4 - 3*c*v wrt v?
83642*c**3 + 108*c*v**2
Find the third derivative of 16*j**4 - 132919*j**3 - 4*j**2 + 12327*j - 10 wrt j.
384*j - 797514
Find the second derivative of q*x**5 - q*x**2 - q*x - 22900*x**2 + 58350*x wrt x.
20*q*x**3 - 2*q - 45800
Find the second derivative of -84*n**3*u**2 + 144*n**3*u - 476*n*u**2 + 7*n*u + u**2 + 3*u wrt u.
-168*n**3 - 952*n + 2
What is the derivative of 51448*u + 73130?
51448
What is the third derivative of -14*l**5*n - 244*l**4*n**2 - l**2*n**2 - 4*l**2*n - 2375*l*n wrt l?
-840*l**2*n - 5856*l*n**2
Find the third derivative of -202*i**4*o**2 - 964*i**3*o**2 - 2*i**2*o + i*o**2 + 1292*i - 55 wrt i.
-4848*i*o**2 - 5784*o**2
What is the third derivative of 2*n*p*w**3 + 1849*n*p*w**2 + 2*n*p*w + 103*n*w**3 + n*w + 54*p*w**3 - p*w + 2*w**3 + 33 wrt w?
12*n*p + 618*n + 324*p + 12
Find the first derivative of -87655*f**4 - 3*f - 1002615 wrt f.
-350620*f**3 - 3
What is the derivative of -2*a**2 + a*g*p**2 - 4388*a*p**3 - 4*g*p**3 - 11768*p**2 wrt a?
-4*a + g*p**2 - 4388*p**3
What is the third derivative of 152919*a**3 + 1588*a**2 - 4*a + 13?
917514
Find the second derivative of 83040*o**2 - 17377*o + 1.
166080
What is the second derivative of 127*k**4 - 20*k**3 - 2*k**2 - 2*k + 6259 wrt k?
1524*k**2 - 120*k - 4
Find the second derivative of 605848*f**3 + f + 5032 wrt f.
3635088*f
Find the second derivative of 61178*l**2 + 192*l - 53.
122356
Find the first derivative of 23*d**4*j + d**4 + 123*d**3 + 4363*j - 2 wrt d.
92*d**3*j + 4*d**3 + 369*d**2
Find the third derivative of 353*f**2*m**3 + 10033*f**2*m + 40*f**2 - 2*f*m**2 + 20*m**3 - 2*m**2 wrt m.
2118*f**2 + 120
Differentiate 14182*o - 67127 wrt o.
14182
What is the third derivative of 2014*g**3*k**2*w**3 - 18*g**3*k**2*w**2 + 2*g**3 - g**2*k**3*w + g*k**3 - 14*g*k**2*w**2 + 6*k**3*w**3 wrt w?
12084*g**3*k**2 + 36*k**3
Find the second derivative of -49269*a**3 + 5*a - 2448.
-295614*a
What is the third derivative of 18*f**3*s**2 + 579*f**3 - f**2*s**2 - 17*f**2*s - 538*f*s**2 + f wrt f?
108*s**2 + 3474
Find the first derivative of 352926*w**2 + 81613.
705852*w
What is the second derivative of -12472*x**4 + 6*x**2 + 232412*x?
-149664*x**2 + 12
Find the third derivative of -13629*w**6 - 42859*w**2 wrt w.
-1635480*w**3
What is the derivative of 167*f**3 + 87*f**2*g**3 - 5*g**3 - 2*g - 6692 wrt f?
501*f**2 + 174*f*g**3
What is the third derivative of 183*h**6*w - 180*h**3*w**3 + 76295*h**2*w**3 + h**2 wrt h?
21960*h**3*w - 1080*w**3
Find the second derivative of -7*a**4 - 1177*a**3 - 2*a**2 + 12*a + 100.
-84*a**2 - 7062*a - 4
What is the second derivative of 52368*i**3 - 180*i - 376?
314208*i
Differentiate -w**2 + 2445069*w + 831782 wrt w.
-2*w + 2445069
Find the third derivative of 398642*w**3*x**4 + 3934*w**3*x**2 + 8*w*x**2 - x**5 wrt x.
9567408*w**3*x - 60*x**2
What is the derivative of -y**3 - 30022*y - 750854?
-3*y**2 - 30022
What is the first derivative of -906364*o**4 + 971875?
-3625456*o**3
Find the second derivative of -537*b*i*j + 52*b*j**2 - b*j - 9*b + i*j**2 - 2*i - 178*j**5 wrt j.
104*b + 2*i - 3560*j**3
Find the second derivative of -13575*i**2*j**5 - 3*i**2*j**2*w + 122*i**2*j*w - 2*i**2*j - i**2*w - 3*j*w wrt j.
-271500*i**2*j**3 - 6*i**2*w
What is the first derivative of -12001*x**2 - 3*x + 156822?
-24002*x - 3
Find the second derivative of 1285289*v**2 + 64*v - 1230 wrt v.
2570578
What is the first derivative of -284906*t**4 + 108047 wrt t?
-1139624*t**3
Differentiate 7756*z**3 - 2*z - 267708.
23268*z**2 - 2
What is the third derivative of 2*p**5 - 45*p**4 - 700*p**3 + 1087192*p**2?
120*p**2 - 1080*p - 4200
What is the third derivative of 5396*g**6 - 31149*g**2 wrt g?
647520*g**3
Find the first derivative of -28*h**4 - 3419*h + 680482 wrt h.
-112*h**3 - 3419
Differentiate l**3 + 1793991*l + 1455214 with respect to l.
3*l**2 + 1793991
What is the first derivative of -764206*h**3*l*p - h**3*l - h**3*p**4 + 26*h**3 + 50*h**2*l + 58*h*l - 1 wrt p?
-764206*h**3*l - 4*h**3*p**3
What is the second derivative of 102724*t**3 - 85765*t wrt t?
616344*t
What is the third derivative of 7*k**3*o**2 - 5754*k**3*o + 192*k**2 + 67*o**2 wrt k?
42*o**2 - 34524*o
What is the second derivative of -4098*w**2*y - 40*w**2 + 9*w*y + 2*w + 21960 wrt w?
-8196*y - 80
Find the third derivative of 618319*q**3 - 3179707*q**2 wrt q.
3709914
Find the second derivative of -37611*d**2 - 759856*d.
-75222
What is the third derivative of -34692*n**4 - 7*n**2 - 138*n wrt n?
-832608*n
Differentiate -c**4*d**2 - 81671*c**4 - 20770*d**2 - 1 wrt c.
-4*c**3*d**2 - 326684*c*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*r**2*y + 8*r**2 - 2*r*y**3 - 4037*r*y**2 - 70*r wrt y.
12*r**3*y - 12*r*y - 8074*r
Find the third derivative of 806755*l**3 - 674571*l**2 wrt l.
4840530
What is the second derivative of 227282*f**4 - 544954*f?
2727384*f**2
What is the second derivative of 32150*v**5 + 28915*v wrt v?
643000*v**3
Find the third derivative of 4297639*r*y**6 + 1945*r*y**2 - y**2 - 1 wrt y.
515716680*r*y**3
What is the first derivative of i**4 + 1303*i**3 + i**2 - 194126 wrt i?
4*i**3 + 3909*i**2 + 2*i
Differentiate -38380*b**4 - 21267.
-153520*b**3
Differentiate s**3 + 2*s**2 - 23583*s + 29577.
3*s**2 + 4*s - 23583
Find the first derivative of f*i**3 - 181957*f*i**2 - 3*f*i + f + 5013876*i**3 wrt f.
i**3 - 181957*i**2 - 3*i + 1
What is the third derivative of -1072408*k**3 + 4542*k**2 + 3*k + 1 wrt k?
-6434448
Differentiate 2*v**3 + 26*v**2 + 123*v + 127976 wrt v.
6*v**2 + 52*v + 123
What is the second derivative of -d*m*o**3 + 321*d*m*o**2 - d*m - 7*d*o**3 - m*o + 61*m - 64*o wrt o?
-6*d*m*o + 642*d*m - 42*d*o
Find the third derivative of -27879*w**3 - 41813*w**2.
-167274
Find the first derivative of k**3*n + 20*k**3 + 34*k**2*n - 2*k + 49*n + 15 wrt n.
k**3 + 34*k**2 + 49
What is the second derivative of -147870*c**5 + 146678*c?
-2957400*c**3
Find the second derivative of 3081548*g*r**2 + 113*g*r + 2*r + 472 wrt r.
6163096*g
Find the third derivative of -80175*x**5 - 97755*x**2.
-4810500*x**2
What is the third derivative of -11*x**6 + 1146*x**3 + 187768*x**2 wrt x?
-1320*x**3 + 6876
Differentiate 110*b**2*d**2*j*p - b**2*d**2*j + 423*b**2*d*j + 18*b*d*j - 66*d*j*p + 2*d wrt p.
110*b**2*d**2*j - 66*d*j
Find the second derivative of 38*q**4 - 18*q**3 + 28*q**2 + 177241*q.
456*q**2 - 108*q + 56
What is the third derivative of -105*a**2*b**3 - 2503*a**2 - 9*a*b**2 - a - 882*b**5 - 4*b**2 wrt b?
-630*a**2 - 52920*b**2
Find the third derivative of 56048*z**3 - 61302*z**2 wrt z.
336288
Find the second derivative of -429168*f**3 - 2*f**2 + 814760*f.
-2575008*f - 4
What is the first derivative of h*k - 913*h - 10040*k**4 + 2 wrt k?
h - 40160*k**3
What is the derivative of -57470*j + 30034?
-57470
What is the first derivative of -2*t**3 - 1432*t**2 + 6*t - 106235 wrt t?
-6*t**2 - 2864*t + 6
What is the second derivative of -211036*b**2 - 262219*b?
-422072
Find the third derivative of -73*f**5 + 380*f**4 - f**2 + f + 14974.
-4380*f**2 + 9120*f
Differentiate -19949*x + 75150 wrt x.
-19949
What is the derivative of -224277*f*g*x - 4*f*g - 537*f + 10*g wrt x?
-224277*f*g
What is the third derivative of 274363*z**5 - 16*z**2 + 289*z + 3?
16461780*z**2
Find the third derivative of -99442*a**5*l**3 + 4*a**2*l + 25620*a*l**3 wrt a.
-5966520*a**2*l**3
What is the second derivative of 45039*l**4 + 137*l + 173 wrt l?
540468*l**2
Find the third derivative of 140*n**6 + 103*n**4 - 3*n**2 + 106*n + 45.
16800*n**3 + 2472*n
What is the third derivative of 57649*f**3 - 1302052*f**2 wrt f?
345894
Find the first derivative of 102222*a**2 + 71115.
204444*a
What is the third derivative of 2120295*d**4 + 42*d**2 - 5898*d + 2 wrt d?
50887080*d
Find the third derivative of 1444489*d*v**3 - 28788*d*v**2 + 20*v**2 wrt v.
8666934*d
What is the second derivative of 281*t**3*y**2 - 11*t**2 - 85*t - 4*y**2 + 2*y wrt t?
1686*t*y**2 - 22
What is the derivative of -3*k*z**3 - 2*k*z + 854*k + 410438*z**3 wrt k?
-3*z**3 - 2*z + 854
What is the second derivative of -3*y**3 - 204992*y**2 + 1889834*y?
-18*y - 409984
Find the second derivative of -47804*i*x**3 + i*x - 1700*i wrt x.
-286824*i*x
Find the third derivative of 54151*m**3 + 2*m**2 - m - 272 wrt m.
324906
Find the third derivative of t**6 + 2*t**5 - 117453*t**3 - 23632*t**2 + 3.
120*t**3 + 120*t**2 - 704718
What is the second derivative of -125*i**3 - 404*i**2 - 35*i + 273?
-750*i - 808
What is the third derivative of 471416*p**5 + 5*p**4 - 2*p**2 - 193*p + 796?
28284960*p**2 + 120*p
What is the derivative of -196*r**2*u + r**2 + 87*r*u + 5248*u + 74 wrt r?
-392*r*u + 2*r + 87*u
Differentiate 78745*h**2*w - 84393*h**2 with respect to w.
78745*h**2
Differentiate -52*s*x**3 + 363*s*x**2 + x**3 - 11*x**2 + 510*x with respect to s.
-52*x**3 + 363*x**2
What is the second derivative of -74854*h**4 + 67*h - 93 wrt h?
-898248*h**2
What is the second derivative of 2395948*i**3 + 89575*i - 4 wrt i?
14375688*i
What is the third derivative of -16*g**4*o**2*z - 65*g**4*z + 2*g**2*o**2 - 11*g**2*o + 733*g**2*z + 2 wrt g?
-384*g*o**2*z - 1560*g*z
Find the third derivative of 2918*z**6 - 179*z**5 - 745341*z**2.
350160*z**3 - 10740*z**2
What is the third derivative of 7300*o**4 + 19879*o**2?
175200*o
What is the second derivative of 1464*c**3*l**2*z**2 + 462*c**3*l**2*z - c**3 - 187*c**2*l**2 - 162*l**2*z**2 wrt z?
2928*c**3*l**2 - 324*l**2
Find the third derivative of -3969750*o**4 - 1305231*o**2.
-95274000*o
What is the second derivative of -1716455*c*k**2 - 2*c*k + 2*c + 11*k - 2 wrt k?
-3432910*c
Find the first derivative of 19*b*c + 8024*b + 1170*c**2 wrt c.
19*b + 2340*c
What is the first derivative of 7*g*n*s + 8*g*n + g + 35*n*s - 24*n + 343*s + 19 wrt n?
7*g*s + 8*g + 35*s - 24
Find the third derivative of -1190*q**6 + 21*q**4 - 151810*q**2.
-142800*q**3 + 504*q
Differentiate 16583*g**2 + 32759 with respect to g.
33166*g
What is the second derivative of 8*f**2*k**2 + 523419*f**2*k + 7621*f*k**2 - 2*k**2 wrt k?
16*f**2 + 15242*f - 4
Find the second derivative of -565651*m**3 - 7*m**2 + 6780227*m.
-3393906*m - 14
What is the second derivative of -8*g**3*j + 14325*g**3*l**2 + 13020*g**3*l - 2*g**2*j*l**2 - l wrt l?
28650*g**3 - 4*g**2*j
What is the third derivative of -4*i**4*u + 7*i**3*r**3 + 248*i**3*r*u - 3879*i**2*r**3*u - 2*i**2*r**2 + 6*i*r*u wrt i?
-96*i*u + 42*r**3 + 1488*r*u
Find the third derivative of -277*a**3*m - 8*a**3 + 1389*a**2*m + a**2 + a*m - a wrt a.
-1662*m - 48
What is the second derivative of -39942*b**2 - 104424*b wrt b?
-79884
What is the second derivative of -152*v**3 + 152*v**2 - 23772*v?
-912*v + 304
Find the second derivative of 3*i**3 - 12516*i**2 + 44688*i.
18*i - 25032
What is the derivative of 1204*c*d*q*s + 8*c*d*q + 7*c*d*s + 9*c - 4*d*q*s + 214*q wrt s?
1204*c*d*q + 7*c*d - 4*d*q
Differentiate 1132247*x + 1410374 with respect to x.
1132247
Find the third derivative of q*u**4 + 3*q*u**3*v + 18*q*u**2*v - q*u**2 - 2*u**3*v - 2025*u**3 + 44*u**2*v - 2*v wrt u.
24*q*u + 18*q*v - 12*v - 12150
Find the first derivative of -3*p*r**3 - 1264*p*r**2 + 19*p - 411*r**3 + r**2 - 239*r wrt p.
-3*r**3 - 1264*r**2 + 19
What is the derivative of 103480*k*z**3 - 4*z**3 + 7*z**2 + 1186 wrt k?
103480*z**3
Find the first derivative of c**4*u + 795207*c*u - 2994320*u wrt c.
4*c**3*u + 795207*u
Differentiate 174432*w - 164530 with respect to w.
174432
What is the third derivative of 120*o**3*q**5 - 1346*o**3*q**4 + 2*o**3*q**2 + 66*o**3 - o**2*q**2 + 2*o**2*q - 34*o*q**2 wrt q?
7200*o**3*q**2 - 32304*o**3*q
What is the third derivative of 67082*t**4 - 14*t**2 - 2*t - 155?
1609968*t
Differentiate 1213120*z - 1018934 wrt z.
1213120
What is the second derivative of 602870*b**2*p**5 + b**2 - 2*b*p - 3*b - 4*p + 86 wrt p?
12057400*b**2*p**3
What is the derivative of 71*i**4 + 3*i**2*v - 2*i**2 + i - 217347*v wrt i?
284*i**3 + 6*i*v - 4*i + 1
Differentiate 31644*n*p + 3*n - 104883*p with respect to n.
31644*p + 3
What is the second derivative of 56*r**4 + 1538*r**2 + 915871*r?
672*r**2 + 3076
Find the second derivative of -10*j*n**2*z - j*n**2 - 23*j*n*z - 240*n**2*z - 50*n*z wrt n.
-20*j*z - 2*j - 480*z
Find the second derivative of -22726*c**2 + 2*c + 4057.
-45452
What is the derivative of -40961*f**2 + 54162 wrt f?
-81922*f
What is the second derivative of -207*v**5 + 3*v**3 + 16*v**2 - 48630*v wrt v?
-4140*v**3 + 18*v + 32
What is the derivative of 284913*f + 985153?
284913
Find the third derivative of 576872*c**3 - 2638952*c**2 wrt c.
3461232
Find the second derivative of 145*g**3*x**3 + 52*g**2*x**3 - 1386*g*x**3 + g - 2*x**2 wrt g.
870*g*x**3 + 104*x**3
Find the third derivative of -106349*p**4 + 11*p**2 + 6775*p wrt p.
-2552376*p
Find the third derivative of -48*k**2*o**3*v + 31*k**2*o**3 - 3*k**2*o**2 + 5*k*o**3 + 20*k*o**2*v - 2708*k*o*v wrt o.
-288*k**2*v + 186*k**2 + 30*k
What is the second derivative of 3*l**5 + 2508*l**3 - 61*l + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
f**3 + c**3*f**2 - 2124*c**3*f + 3*c**3 + 2*f + 1 wrt f?
-12064542*c**3
What is the first derivative of -536029*q - 288622 wrt q?
-536029
Find the third derivative of -113632*m**6 - 114088*m**2 wrt m.
-13635840*m**3
Differentiate 5*n**3 + n**2 - 1439*n + 187645 with respect to n.
15*n**2 + 2*n - 1439
Find the third derivative of -45*g**3*q**2*v - 3*g**3*q**2 - 5*g**3*q*v + 266*g**2*v - 106*g*q**2*v wrt g.
-270*q**2*v - 18*q**2 - 30*q*v
What is the first derivative of 20*b*g*u - 4*b*g - 2*b*u - 5*b + 4*g*u + 2*g - 13*u + 24 wrt u?
20*b*g - 2*b + 4*g - 13
Find the first derivative of 252*f*u**2*v + 2*f*v - 62*f - u**2 + 2*u*v - 68 wrt v.
252*f*u**2 + 2*f + 2*u
What is the second derivative of 36*t**4 + 392*t**3 + 29097*t wrt t?
432*t**2 + 2352*t
Find the third derivative of 2*a*u**4 - a*u**3 - a*u**2 - 6*a*u - 5282*a + 1563*u**4 - 5*u**3 - u**2 wrt u.
48*a*u - 6*a + 37512*u - 30
Find the third derivative of 46038*l**3 - 5489*l**2 - 2*l - 4.
276228
What is the derivative of 361055*w - 194781?
361055
Differentiate -2*q*s**3 + 239*q - 16124*s**3 + 17 wrt s.
-6*q*s**2 - 48372*s**2
What is the first derivative of -3*o*z**2 + o*z - o + 2924*z**2 + 11*z - 1367350 wrt z?
-6*o*z + o + 5848*z + 11
Find the first derivative of 14118*j**2*o**3 - o**3 + 174*o - 7 wrt j.
28236*j*o**3
What is the derivative of -2*b**3*k*y - 52760*b**3*k + 14739*b**2*k*y wrt y?
-2*b**3*k + 14739*b**2*k
What is the derivative of -2*o**4 - 2*o**3 - 586*o - 17312?
-8*o**3 - 6*o**2 - 586
What is the third derivative of -33265*i**6 - 31*i**5 - 9*i**2 + 14471*i wrt i?
-3991800*i**3 - 1860*i**2
Find the second derivative of -13*k**2*p**3 - 2*k**2*p**2 - 84*k**2*p*z**3 - k*p**3*z**3 - 60*k*p**3*z + 3*k*p**2*z**3 - 3*k*p*z**2 + 11*p**3*z**2 wrt k.
-26*p**3 - 4*p**2 - 168*p*z**3
Find the second derivative of -210203*o**2*r**2 + 4*o**2*r*t + o*r**2*t - 2*r**3*t + 40204*r*t wrt r.
-420406*o**2 + 2*o*t - 12*r*t
What is the third derivative of 55125*q**3 + 7*q**2 - 566*q wrt q?
330750
Find the second derivative of -6631*f*h**4*s - 2*f*h*r + f*h*s + 2*f*r*s + f*s - 20*h**3*r*s + 86*h*s wrt h.
-79572*f*h**2*s - 120*h*r*s
What is the second derivative of -10*c**2*o**3*s**2 - 333*c**2 + c*o**3*s**2 + 4*c*o**3*s + 52*c*o**2*s**2 - c*o - s wrt c?
-20*o**3*s**2 - 666
What is the second derivative of 5*a**3 + 11014*a**2 + 264*a - 1471 wrt a?
30*a + 22028
What is the second derivative of 5*w**3 + 89647*w**2 - 3901*w + 12?
30*w + 179294
What is the third derivative of -1037*b*l**3 + b*l**2 - 40*b + 15*l**5 - 18 wrt l?
-6222*b + 900*l**2
Find the first derivative of 124942*s*u**3 - 198655*u**3 wrt s.
124942*u**3
Find the first derivative of 1188*a*j*y**3 + 2*a*j + a - 52*j*y**3 - y**3 + 4918*y**2 - 2 wrt j.
1188*a*y**3 + 2*a - 52*y**3
Find the third derivative of -359960*b**6 + 67*b**2 + 510*b.
-43195200*b**3
What is the third derivative of 13541*x**3 - 248*x**2 + 20*x + 1?
81246
What is the third derivative of -239*b*m**3*y**3 - b*m**2 + b*y**2 - 41*m**3*y**3 - 1226*m**2*y**3 wrt m?
-1434*b*y**3 - 246*y**3
Differentiate 35*c**4 + 2*c**3 + 662*c**2 - 2*c + 210446 wrt c.
140*c**3 + 6*c**2 + 1324*c - 2
Differentiate 21965*g*p**2*q + 44*g*p**2 - g*p*q - 2*p*q + 357 wrt q.
21965*g*p**2 - g*p - 2*p
What is the second derivative of -506*f**3 + 126*f**2 + 555237*f?
-3036*f + 252
What is the second derivative of 2*d**2*v**2 + d**2*v + d**2 + 42*d*r*v**2 + 65*d*r*v - 55*r*v**2 - r*v - 5*v**2 wrt v?
4*d**2 + 84*d*r - 110*r - 10
Find the second derivative of 23548*c**5 + 4*c**2 - 1162041*c wrt c.
470960*c**3 + 8
What is the derivative of -2*m**4 + 694240*m + 593895?
-8*m**3 + 694240
What is the first derivative of 2075*x**3 - x + 103747?
6225*x**2 - 1
Find the second derivative of 57*d*m**4 + 44*d*m**3 + 362235*d*m - 2*m**2 wrt m.
684*d*m**2 + 264*d*m - 4
What is the derivative of 3*i*l*t + 80313*i*l - 1138*i*t + 2*l*t - 5*t wrt t?
3*i*l - 1138*i + 2*l - 5
Find the third derivative of -520425*b**3*s**4 + 36*b**3 + 880*s**2 wrt s.
-12490200*b**3*s
Find the third derivative of g**4 - 69298*g**3 + 23968*g**2 - 2 wrt g.
24*g - 415788
What is the second derivative of -18*a**4 + 2*a**3 - 5625*a**2 + 9*a + 11560?
-216*a**2 + 12*a - 11250
Find the third derivative of 567*j*o**5 - 26*j*o**3 - 1002*j*o**2 + 10*j - 8*o**3 + 15*o wrt o.
34020*j*o**2 - 156*j - 48
Find the first derivative of -48079*f + 10166 wrt f.
-48079
Find the first derivative of 69*i**4*r + 3*i**2*r**2 - 57*i**2 + 93883*r**2 wrt i.
276*i**3*r + 6*i*r**2 - 114*i
What is the second derivative of 10*o**4 + 10*o**3*z + 23*o**2 - 70056*o*z wrt o?
120*o**2 + 60*o*z + 46
What is the second derivative of 734503*p**5 - 1213182*p wrt p?
14690060*p**3
Find the first derivative of 124090*p**3 + 143932.
372270*p**2
Find the third derivative of -2*a**2*k**2*v**3 + 248*a**2*k**2*v**2 + a**2*k**2*v - 2*a**2*k - 21485*a**2*v**3 + 2*a*k*v**2 - 9*a wrt v.
-12*a**2*k**2 - 128910*a**2
Find the third derivative of -415086*k**3*y**2 + 14260*k**2 - 2*k*y**2 wrt k.
-2490516*y**2
What is the third derivative of -52190*d**3*v**3 - d**3*v - 3*d**3 + 1726*d + v**5 + v**2 wrt v?
-313140*d**3 + 60*v**2
Differentiate -2*j**3 + 3322*j**2 - 31*j + 214965.
-6*j**2 + 6644*j - 31
What is the second derivative of 809402*v**2 - 283*v - 36?
1618804
What is the second derivative of -260759*m**2 + 185927*m?
-521518
Find the first derivative of 645781*n - 968200 wrt n.
645781
What is the third derivative of -h**3*q - 1697788*h**3 - 7*h**2*q - 1079*h**2 - 120*q wrt h?
-6*q - 10186728
What is the second derivative of -32*k**4 - 15*k**3 + 4*k**2 - 125737*k wrt k?
-384*k**2 - 90*k + 8
Differentiate 136*j**2 - 1712*j - 13513.
272*j - 1712
What is the third derivative of -470997*q**6 - 6*q**2 + 9588*q wrt q?
-56519640*q**3
What is the derivative of 149*b*k*v**2 - 2*b*k + 3*b*v**2 - b*v + 3*k*v**2 + 29*k - 6*v**2 - 61 wrt k?
149*b*v**2 - 2*b + 3*v**2 + 29
What is the third derivative of 73094*x**3 - 80*x**2 + 384 wrt x?
438564
Find the second derivative of -209*c**4 + 2628*c**3 + 1500954*c wrt c.
-2508*c**2 + 15768*c
Find the second derivative of -431478*i**2 - 160191*i.
-862956
What is the second derivative of c**3*l*w - 4*c**3*o**2*w + 3*c**3*w + c**2*l - 229*c**2*o**2*w + 124*c*l*o*w + l*o**2*w - l - 2 wrt o?
-8*c**3*w - 458*c**2*w + 2*l*w
What is the second derivative of -211927*d**2*l + 1654186*d*l wrt d?
-423854*l
What is the third derivative of 67445*c**3*m**2 - 2*c**2*m**2 + 45444*m wrt c?
404670*m**2
What is the second derivative of -b*h**2 - 2*b*h - 5078*h**3 + 7*h + 469 wrt h?
-2*b - 30468*h
Find the third derivative of 61*j**4*w**2 + 199*j**4 - 2*j**2*w + 11*j**2 - w**2 - 6*w wrt j.
1464*j*w**2 + 4776*j
What is the third derivative of -90996*u**4 - 3*u**2 + 840?
-2183904*u
Find the third derivative of 58*o**5 - 2568*o**4 + 134*o**2 - 34*o + 4 wrt o.
3480*o**2 - 61632*o
What is the first derivative of -87*c**3*l + 16*c**3 + 76*l + 33 wrt c?
-261*c**2*l + 48*c**2
What is the derivative of -3*j*p**2*t**2 + 254808*j*p**2 - p**2*t**2 - 61*p*t**2 + 1275*t**2 wrt j?
-3*p**2*t**2 + 254808*p**2
Find the first derivative of 411*g**3*x**2 + 110*g**3*x - 2*g**3 - 80*g - 3 wrt x.
822*g**3*x + 110*g**3
What is the third derivative of -1005*h**3*n**4 - 2*h**3*n**2 + 11*h**3*n - 6*n**5 + 175 wrt n?
-24120*h**3*n - 360*n**2
Find the first derivative of -6*n**3*o**2 + 3*n**3 + 12*n**2 + 36*n*o**3 + 2*n - 272*o + 1590 wrt o.
-12*n**3*o + 108*n*o**2 - 272
Differentiate g*i - 26693*g + 5007*i wrt i.
g + 5007
Find the second derivative of -27*d**2*h**3 - 3*d**2*z + 1245*h**3*z - 428866*h wrt h.
-162*d**2*h + 7470*h*z
What is the second derivative of 74*c**3 - 5024*c**2 - 735522*c wrt c?
444*c - 10048
Find the third derivative of 49139*t**3 + 5962*t**2.
294834
What is the first derivative of -25368*a**4 + 5*a*d + 32*d + 1386 wrt a?
-101472*a**3 + 5*d
Find the second derivative of 2929765*z**3 - 2*z - 32731.
17578590*z
Find the second derivative of -2134671*k**2 + 2*k + 199175 wrt k.
-4269342
What is the second derivative of -2*x**5 + 39972*x**4 + 3432782*x?
-40*x**3 + 479664*x**2
Differentiate -10417*h**3 + 52*h**2 + 2170461 with respect to h.
-31251*h**2 + 104*h
Differentiate 100004*c**3*n - 1214*c**3 + 66*c - 19*n with respect to n.
100004*c**3 - 19
What is the second derivative of 20379*x**3 + 7855*x?
1222
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 and give t.
0
Express (2*x - 4*x - 2*x)*(-29*x**2 + 26*x**2 - 1168*x**3 + 872*x + 1166*x**3) in the form f + m*x**4 + r*x + p*x**3 + b*x**2 and give m.
8
Express -71466*z + 35737*z - 2 + 35729*z + 711*z**2 as a*z**2 + o*z + k and give a.
711
Rearrange -a**2 - 19 - 14*a - 28 + 12 - 9*a + 21*a to the form k*a**2 + m*a + o and give o.
-35
Express 462*h - 1136*h - 1556*h in the form n*h + f and give n.
-2230
Rearrange -118769*o**2 - 4*o - 2 - o**3 + 6 + 118773*o**2 to the form j*o**2 + f*o**3 + p + n*o and give j.
4
Rearrange 18660*y + 201666654 - 201666654 to the form h*y + j and give h.
18660
Express 584*f - 249*f + 140*f + 353*f in the form h*f + o and give h.
828
Rearrange -9*t**3 - 1173656*t**4 + 2*t + 488*t**2 + 11*t**3 + 1173653*t**4 to the form m + l*t + q*t**4 + g*t**2 + k*t**3 and give g.
488
Express 227*i - 71*i - 64*i - 79*i - 12 as k + z*i and give z.
13
Express 401*g**4 + 5653*g**3 + 2*g**2 - 409*g**4 - 5651*g**3 + 1 + 4*g in the form a*g + x + s*g**2 + m*g**4 + i*g**3 and give s.
2
Rearrange (4*z - z - z)*(101 + 38*z + 51*z - 102 + 17*z**2) to i*z**2 + o*z + y + r*z**3 and give r.
34
Express 10*j + 36 - 2*j + 13*j as y*j + m and give y.
21
Express (-g + g + g)*(1554*g + 944*g + 2935*g + 2972*g - 867*g) as i*g + n*g**2 + x and give n.
7538
Express 221 + 35058*v - 35060*v - 3*v**2 - 27 in the form l*v**2 + p + b*v and give l.
-3
Express (d**2 - d**2 + 2*d**2)*(107 - 101 + 10*d - 26*d)*(-1 - 2 + 1)*(9 + 22 + 13) as j + b*d**2 + i*d**3 + v*d and give i.
2816
Rearrange -154*n**3 - 38*n**3 + 41*n**3 + 1 - 105*n**3 - 2 to b*n + i*n**3 + x*n**2 + o and give o.
-1
Rearrange 3612*z - 1611*z + 5302*z - 1568*z to the form f + c*z and give c.
5735
Rearrange 608*n**2 - 2969895*n + 2969895*n to the form a + f*n + i*n**2 and give i.
608
Rearrange -12 + 523*z**2 - 10*z + 9*z - 507*z**2 to n*z**2 + j*z + p and give j.
-1
Express f**3 + 2*f**4 - f**3 + (-114*f + 117*f - 3*f + 12055*f**2)*(-5*f**2 + 4*f**2 + 4*f**2) in the form v*f**4 + l + x*f + w*f**3 + o*f**2 and give l.
0
Rearrange -8*x**2 + 3*x**2 + 4*x**2 + 269 + 1525*x - 2*x**3 - 766*x - 758*x to p + y*x + f*x**2 + l*x**3 and give y.
1
Rearrange -4108 + 4108 + 15189*n to f + z*n and give z.
15189
Express (-4 + 2 + 4)*(-3*t**3 - 2*t**3 + 6*t**3) - 9 - 433419*t**3 + 9 + 429474*t**3 + 0 in the form r*t**2 + a*t**3 + b + s*t and give a.
-3943
Rearrange 4*r**2 - 122 - 25 + 148 - 3*r to the form g*r**2 + f + s*r and give s.
-3
Rearrange 52*z + 2 + 10*z + z**2 + 9*z + 71*z - 18*z to the form s + l*z + c*z**2 and give s.
2
Express 12 + 4956*x - 5 - 6 + 1261*x in the form g + r*x and give g.
1
Express -56*y**3 + 42*y**3 - y - 75*y**4 + 152*y**4 - 74*y**4 + 0*y**2 - 2*y**2 in the form d*y + r*y**4 + z*y**2 + t + w*y**3 and give w.
-14
Express 980*n + 33 + 41 + 42 - 116 in the form i + b*n and give b.
980
Rearrange (11*v + 6*v - 4*v)*(18*v + 13*v + 4*v) to the form g*v**2 + t*v + i and give g.
455
Express 6141 + 212*x**2 - 429*x**2 - 6152 in the form t + w*x**2 + z*x and give t.
-11
Rearrange (-3*u**3 + 2*u**3 + 0*u**3)*(55*u - 234*u + 124*u - 31286 + 54*u) to the form y*u**3 + p*u**2 + v*u**4 + m + d*u and give v.
1
Rearrange -2*o**4 + o - o**2 + 301 + 0*o**4 + 161 + o**4 + 56 to the form d*o**2 + g*o**3 + n + f*o + m*o**4 and give d.
-1
Rearrange -1 + 3 + 183*f + 2 + 3 - 15 to a*f + i and give a.
183
Rearrange -4478*u**2 - 2497 + 2497 + 754*u**2 to the form i*u**2 + x + p*u and give i.
-3724
Express -7 + 14652*z**2 + 4*z - 14649*z**2 + 5*z in the form j + b*z + c*z**2 and give j.
-7
Express -9*o**2 - 14*o**2 - o + o**3 + 18*o**2 as t*o + a + l*o**3 + g*o**2 and give l.
1
Express (3*x**2 + 0*x**2 - 4*x**2)*(x + 2*x + 5*x)*(2 + 16 - 4) as n*x + a + m*x**2 + b*x**3 and give b.
-112
Rearrange 2139 - 116*l + 2099 + 30*l**2 + 5*l - 4238 to h*l + b*l**2 + g and give b.
30
Rearrange (-4 + 7 - 1)*(-2 + u + 2) + u + 2*u - 2*u + (11 - 7 + 2)*(1885*u - 740 + 740) to the form p + c*u and give c.
11313
Express -667*i + 613*i**4 - 2 - 611*i**4 + 3*i**2 + 161*i - 105*i in the form l*i + z*i**3 + s + g*i**2 + c*i**4 and give g.
3
Rearrange (0*m**2 - 16*m**2 + m**2)*(-98 + 63 + 2*m + 62) to the form a*m**2 + q*m**3 + g + o*m and give q.
-30
Rearrange 10617*d + 10596*d + d**2 - 30*d**3 - 21210*d to n*d + z + g*d**3 + c*d**2 and give n.
3
Express -12232 + 163*f + 12236 + 98*f as n + t*f and give n.
4
Express 63 - 2*w + w**2 + 57 - 126 + 3*w**4 + 0*w - w**4 as h*w**4 + o*w**2 + g*w + r*w**3 + b and give o.
1
Rearrange -15 - 11 - 2*a**3 - 13*a - a**2 - 7*a**3 + 26 to the form i*a**2 + b + t*a + g*a**3 and give t.
-13
Express 279194*r**2 - 643*r - 279191*r**2 + 6 - 3 in the form w*r**2 + o + b*r and give b.
-643
Express (0*v + 0*v - 2*v - 3 + 3 - 2*v + (0*v - 2*v + v)*(-2 + 4 + 0) - 10*v + 16*v - 29*v)*(-3 + 1 - 1)*(8 + 4 - 4) in the form k*v + i and give k.
696
Rearrange -10*n + 5 - 983*n**3 - 16*n + 985*n**3 to the form f*n**2 + y*n + i*n**3 + z and give i.
2
Express (-12 - 21 + 0)*(z**3 - 16*z + 17*z - 2*z**3) + (-2*z + z + 0*z)*(-z**2 - 9*z**2 + 4*z**2) in the form l + x*z**3 + t*z + r*z**2 and give x.
39
Rearrange 2*b**2 + 3*b - 3*b + 29*b**2 - 2*b**2 + 2*b**2 + (0 + 0 + b)*(3*b - 2*b + 2*b) + 10*b**2 - b**2 - 4*b**2 to the form z*b + p + u*b**2 and give u.
39
Express (h - 3*h + h)*(22 + 21 - 31)*(-7 + 5 + 11) as r + v*h and give r.
0
Express (-5 + 78*j + 41 - 3 + 585*j)*(3 - 1 - 1) as h + k*j and give h.
33
Rearrange -1 + 2*w**2 + 1 + (0 + 2*w + 0)*(51 - 51 + 41*w) + (-5*w**2 + w**2 + 3*w**2)*(-1 + 2 - 4) to o*w**2 + f + v*w and give v.
0
Express (1 + 1 + 2)*(139*v + 456*v + 61*v) - v - v - v as w*v + h and give h.
0
Rearrange 4179*q**2 - 2215*q**2 + 559*q**2 + 4143*q**2 to the form d*q + x + a*q**2 and give a.
6666
Express (-3*p**3 + 2*p**3 + 3*p**3)*(-4789 + 391 + 16207 + 13961 + 11046) as o + i*p**3 + m*p + r*p**2 and give m.
0
Rearrange 311*r + 0*r**2 + r**2 - 6053*r**3 + r**2 + 3025*r**3 - 1 + 3024*r**3 to h + g*r**2 + b*r + p*r**3 and give b.
311
Rearrange -631*z**2 + 1820*z**2 - 628*z**2 - 554*z**2 + 125 to the form a + x*z + y*z**2 and give y.
7
Rearrange -268*k - k**2 + 3*k**4 + 261*k + 15*k**4 + k**3 - 1 to v*k**2 + x*k + d + g*k**4 + p*k**3 and give d.
-1
Express 114463 - 23*h**3 - 114461 + 2*h**2 + 3*h**2 as y*h**3 + w*h**2 + o*h + c and give y.
-23
Express 2*b**4 + 285*b**3 + 144*b**3 + 2 - 86958*b + 86961*b + (2 + 3*b - 2)*(5*b - 5*b - 2*b**3) as c*b**3 + j*b**2 + z + a*b**4 + o*b and give a.
-4
Express (-3*m + 2*m + 2*m)*(1748 + 1386 - 2518 + (-1 + 0 - 1)*(-4 + 14 + 7)) in the form g + x*m and give g.
0
Rearrange 22752 - 11378 - 11373 - 464*n to g + a*n and give a.
-464
Express (-2 - 2 - 6)*(8*u + 3*u**2 - 8*u) - 306 - 102*u**2 + 306 in the form n*u**2 + l*u + q and give n.
-132
Rearrange -84*v + 42*v**3 - 66*v**3 + 2*v**2 - 1 + 26*v**3 to a*v**3 + z*v**2 + i + l*v and give i.
-1
Rearrange 31*y - 5771 - 19*y - 12*y + 2*y - 4703 to the form d*y + c and give c.
-10474
Express -35*i - 165*i**2 + 1 + 346*i**2 - 178*i**2 as u*i**2 + m + j*i and give m.
1
Rearrange 3*v + 4*v - 19*v + (52 - 21 - 17)*(-3*v + 4*v - 2*v + (-3*v - 2*v + 2*v)*(5 - 3 - 3) - v - 2 + 2) to p*v + u and give p.
2
Express 4*a**3 - 45 - 30*a - a**2 + 29*a + 5*a**3 - 6*a**3 as i*a + y + l*a**3 + q*a**2 and give y.
-45
Rearrange 3 + 2 + 5*r**3 - 3*r**3 + 1151*r**2 - 3 - 2771*r**2 to the form o*r**3 + u*r**2 + x + w*r and give u.
-1620
Express (6*l + l - 5*l)*(18 + 0 - 48)*(-3 + 5 + 13)*(17*l**2 + 38 - 38) in the form u*l + t*l**3 + n + o*l**2 and give t.
-15300
Express (4*u - 8*u + u)*(2*u**3 - u + u) + 115 - 115 + 3*u**4 - u**4 + 0 + 0 in the form g*u**2 + o*u**4 + i + d*u**3 + z*u and give o.
-4
Express 5381819*z**3 + 107 - z**4 - 5381819*z**3 - 9*z**2 + z + 0*z**4 as p*z**2 + u*z**3 + c*z**4 + y + n*z and give y.
107
Rearrange ((3 + 1 - 2)*(-2 - b + 2) + 4*b - 3*b - 2*b)*(1657 - 3339 + 1645) to q + j*b and give j.
111
Rearrange (6 + 5 - 3)*(-1 - 4 - 2)*(0*n - n - 19*n + 5*n - 2*n - 2*n + (-2 + 3 + 0)*(2 - 2 + 2*n) - 6*n + 0 + 0 - 2*n - 2 + 2) to q + u*n and give u.
1400
Express 623*f + 512*f + 63*f - 2*f**2 - 235*f in the form c + h*f**2 + w*f and give h.
-2
Express (-11921 - 11597 + 21242)*(2*q**4 + 9*q**4 - 4*q**4) as a*q**2 + d*q + c + j*q**3 + n*q**4 and give n.
-15932
Rearrange -5 + 8 + 2*r**2 + 496*r**3 - 502*r**3 to the form
|
{
"pile_set_name": "DM Mathematics"
}
|
64
Simplify (-2*(-2 + sqrt(3)*-3) + (sqrt(108)/sqrt(3))/sqrt(12) + -5)**2.
-14*sqrt(3) + 148
Simplify 2*(sqrt(5) + (sqrt(5) - 6*(-4*sqrt(5))**2)) - (-4*(sqrt(5) + 0) - -5*(sqrt(125))**2).
-1585 + 8*sqrt(5)
Simplify (-5*1*(sqrt(133) - ((sqrt(133) - (sqrt(133) - 2*sqrt(133))) + sqrt(133)) - sqrt(133)))/(2*sqrt(77)/(sqrt(55)/sqrt(5))).
15*sqrt(19)/2
Simplify ((5*sqrt(396)/sqrt(144))/(3*sqrt(484)*-1))**2.
25/1584
Simplify -1*-6*((sqrt(572) - -3*sqrt(572))*-4)/sqrt(11).
-192*sqrt(13)
Simplify ((5*(-1*sqrt(117)*-2 - sqrt(117)))/(sqrt(54)/(sqrt(6) + (sqrt(96)*-4 - sqrt(6)))))**2.
83200
Simplify (2*(sqrt(88) + (sqrt(88) + sqrt(88)*-1 + sqrt(88) - sqrt(88))) + sqrt(88) + sqrt(88))/(sqrt(16)/(4*sqrt(2))).
16*sqrt(11)
Simplify 5*(4 + -1 + sqrt(175) + -2 - (1*(sqrt(175) + sqrt(175) + 1) + -2 + -1*sqrt(175)))**2.
20
Simplify -4 + ((sqrt(1053) + 0 + sqrt(1053))*4)**2 + sqrt(1053)*1*5.
45*sqrt(13) + 67388
Simplify -3*(((sqrt(128))**2 + -1)*-6 + -4).
2298
Simplify (sqrt(360) + sqrt(360) + (sqrt(360) - (sqrt(360) - (sqrt(360) - (sqrt(360) - -2*sqrt(360))))) + sqrt(360))/((sqrt(1000) + sqrt(10))/sqrt(5)).
6*sqrt(5)/11
Simplify ((-1*sqrt(342) + sqrt(342))*-4)/(2*(sqrt(2) - (sqrt(2) - (sqrt(18)/(sqrt(9) - ((sqrt(9) - sqrt(225)) + sqrt(9) + sqrt(9)) - sqrt(9)) - sqrt(2))))).
0
Simplify (-6*(2 + sqrt(112)) + 0 + 3)**2.
432*sqrt(7) + 4113
Simplify -3 + -5*(sqrt(99) - (sqrt(99) - (-2 + sqrt(99) + 2))**2)*1*-6.
-3 + 90*sqrt(11)
Simplify (sqrt(32) + 1)*4 + (3 + (1 + sqrt(2))**2 - sqrt(2)) + sqrt(8)/sqrt(4)*4.
10 + 21*sqrt(2)
Simplify (sqrt(20) - (sqrt(20) + -2*sqrt(20)))/sqrt(4) + (sqrt(5) + (sqrt(5) - sqrt(45)))*-2 + sqrt(10)/(2*sqrt(18)).
25*sqrt(5)/6
Simplify (1 + -2*sqrt(288) + 0)**2 - (((sqrt(288) - -1*sqrt(288)) + sqrt(288))*6 + sqrt(288) - (sqrt(288) + (sqrt(288) - (1 + sqrt(288) + -1))))**2.
-92159 - 48*sqrt(2)
Simplify (-1 + 3 + (sqrt(128) + -2)*-6)*-2 + 1.
-27 + 96*sqrt(2)
Simplify (sqrt(224)/(sqrt(32)/(sqrt(4) + sqrt(4)*3 + sqrt(4))))/(-3*sqrt(16)*-3).
5*sqrt(7)/18
Simplify 6*(sqrt(45)/((sqrt(18) - (-2*sqrt(18) + sqrt(18)))/sqrt(2)) - (-3*(sqrt(15)/sqrt(3))**2 + 5)).
3*sqrt(5) + 60
Simplify -6*(sqrt(200)/sqrt(10) - sqrt(5)*5*2).
48*sqrt(5)
Simplify -2*((4 + (sqrt(1539) - (sqrt(1539) + -1)) - (-4 + (sqrt(1539)*1 - sqrt(1539)))) + -3)**2*4.
-288
Simplify sqrt(245) + (sqrt(245)*6 - sqrt(245))**2 + sqrt(245) + -1 + sqrt(245) + -2*sqrt(245)*-4.
77*sqrt(5) + 6124
Simplify (-1*sqrt(152)*-1 + -1*sqrt(152)*-2)/(sqrt(32)/(sqrt(36)*2)).
18*sqrt(19)
Simplify (3 + ((2 + sqrt(325) + sqrt(325))*-1 - -3*(sqrt(325) + 0)))**2.
10*sqrt(13) + 326
Simplify (-6*-2*sqrt(567) + sqrt(567) + -1 + -5)**2*4.
-5616*sqrt(7) + 383436
Simplify -3*-5*(sqrt(76) - sqrt(19)) - sqrt(171)/(sqrt(99)/sqrt(99)).
12*sqrt(19)
Simplify 1 + (-3 + ((sqrt(2592) - sqrt(2592)*-1) + sqrt(2592) + sqrt(2592))*1)**2.
-864*sqrt(2) + 41482
Simplify 1 + (-1 + sqrt(275))**2 - (3*sqrt(275)*-5)**2.
-61598 - 10*sqrt(11)
Simplify (-1 + -2 + sqrt(3) + 0 + -1 + sqrt(3))*-1*4 + -3.
-8*sqrt(3) + 13
Simplify ((-2*(-1 + sqrt(1216)) + sqrt(1216))*-4 - (5 + -4*(sqrt(1216) + 3)))**2.
-128*sqrt(19) + 77825
Simplify (sqrt(450)/(2*sqrt(10)) - (-5*sqrt(45)*-2 + sqrt(45) - sqrt(45)))/(6*(-2*sqrt(9) + sqrt(9) - sqrt(9)) + sqrt(90)/sqrt(90)).
57*sqrt(5)/70
Simplify 4*((-2 + sqrt(112)*2 - (-2*sqrt(112) + -4))**2 + 3)*4.
1024*sqrt(7) + 28784
Simplify (4 + sqrt(27) + 4 + sqrt(3))**2 - (-5 + sqrt(300) + 2 + sqrt(300) + sqrt(300)).
34*sqrt(3) + 115
Simplify (1 + -2*(sqrt(2) - (sqrt(4)/sqrt(2) + 1)) + 2)*-3.
-15
Simplify (1*(-3 + sqrt(117) + 0 + sqrt(117) - (sqrt(117) + -4 + 0)))**2.
6*sqrt(13) + 118
Simplify 2*(-1 + sqrt(76) + -4 - sqrt(76))*6 + -2.
-62
Simplify sqrt(20)/(sqrt(100)/sqrt(10))*4 - ((sqrt(2) + sqrt(50) + -2)**2 + -1*(-2*sqrt(2) - sqrt(2))).
-76 + 25*sqrt(2)
Simplify (((3*1*sqrt(264))/sqrt(11))/((sqrt(768) + 2*sqrt(768))*-1 - sqrt(768)))**2.
9/512
Simplify -5 + sqrt(432)*2 + sqrt(432) + (3*sqrt(192)*1 - sqrt(192))**2.
36*sqrt(3) + 763
Simplify 2*(-5*sqrt(225)*-6)/(sqrt(605) - -1*(2*sqrt(605) - sqrt(605))).
90*sqrt(5)/11
Simplify ((4*1*sqrt(171)*1)/(sqrt(63)/((sqrt(7) + sqrt(42)/sqrt(6))*5 - sqrt(7))))**2.
24624
Simplify (4*sqrt(44) - (2 + sqrt(176))**2)*-4.
32*sqrt(11) + 720
Simplify ((sqrt(88)*1 - sqrt(88))*-4)/sqrt(8) - ((sqrt(704) + -1)**2 + 5*(sqrt(22)/sqrt(2))**2).
-760 + 16*sqrt(11)
Simplify (sqrt(847)*1 + 4 - (4 + 1*sqrt(847)) - (-4*2*sqrt(847) + sqrt(847) + -1 + (-2*sqrt(847) - sqrt(847))))**2.
220*sqrt(7) + 84701
Simplify (-3 + (sqrt(833) + 0 - sqrt(833)) + sqrt(833) - (sqrt(833) - (sqrt(833) + 2*sqrt(833)))*-6)**2 - (sqrt(833) + -2*(-2 + sqrt(833)))*-2.
448*sqrt(17) + 100810
Simplify 2*(1 + -3 + (sqrt(68))**2 - 1*(sqrt(136) - sqrt(136)*1)/sqrt(8)).
132
Simplify (-1 + (2*(-3 + sqrt(17)) - sqrt(17)))**2 + 4 + sqrt(272) + sqrt(17) + 1 + sqrt(17) + 0.
-8*sqrt(17) + 71
Simplify 1 + (4 + (sqrt(55)/(sqrt(11)*-1) - sqrt(125)*-4))**2.
152*sqrt(5) + 1822
Simplify 0 + (sqrt(297)/(sqrt(1089)*2 - sqrt(1089)))/((sqrt(220) + sqrt(55))/sqrt(5) - sqrt(66)/(sqrt(54) - sqrt(6))).
2*sqrt(3)/55
Simplify (((5 + -1 + sqrt(99) - ((-5 + sqrt(99)*2 - sqrt(99)) + sqrt(99))) + 2)*6)**2.
-2376*sqrt(11) + 7920
Simplify -5 + (-2 + sqrt(931) + sqrt(931) + 0 + sqrt(57)/(-2*sqrt(192)))**2.
-223*sqrt(19)/4 + 944595/256
Simplify (-1*sqrt(315)/sqrt(5))/(sqrt(9) - (sqrt(288)/sqrt(2) + sqrt(9))) + -3 + -1.
-4 + sqrt(7)/4
Simplify (6*6*(sqrt(175) + -4*(1 + sqrt(175)) + sqrt(175))*-5)**2.
2592000*sqrt(7) + 23198400
Simplify ((sqrt(800)*-2)/(sqrt(1200)/sqrt(12))*1)**2.
32
Simplify (sqrt(4719) + (sqrt(4719) + sqrt(4719) + 4*sqrt(4719) - sqrt(4719)) - sqrt(39))/sqrt(300).
13*sqrt(13)/2
Simplify -1*((sqrt(147) - (sqrt(147) + sqrt(147) + 3 + sqrt(147)))*-5 + -4).
-70*sqrt(3) - 11
Simplify ((sqrt(240)/sqrt(8))/sqrt(5))/(-6*(sqrt(3) + (2*sqrt(3) - sqrt(3)))).
-sqrt(2)/12
Simplify -3*((2 + 1*sqrt(19) + 0 + sqrt(1216))**2 + 2)*-4.
432*sqrt(19) + 18540
Simplify (-2*sqrt(325)*-4 + 0 - (2 + -4*(sqrt(325) + sqrt(325) + 0 + sqrt(325))))**2*1.
-400*sqrt(13) + 130004
Simplify (6*((sqrt(270)*5)/sqrt(9))/(sqrt(30)/(sqrt(20)/sqrt(4))))**2.
4500
Simplify (6*(0 + sqrt(99) + 1 + -4))**2.
-648*sqrt(11) + 3888
Simplify 5*((-3 + (sqrt(252) + sqrt(63))/sqrt(9) + -2)**2 + 3).
-150*sqrt(7) + 455
Simplify 5 + -6*((sqrt(192) - -2*sqrt(192)*4)**2 + sqrt(192)).
-93307 - 48*sqrt(3)
Simplify (-5*sqrt(49)/sqrt(7))**2 + -4 - (2 + sqrt(567) + 4)**2.
-432 - 108*sqrt(7)
Simplify -3*sqrt(51)/(sqrt(147)*-1)*3.
9*sqrt(17)/7
Simplify ((sqrt(80)*-1)/sqrt(8))/(sqrt(20) + sqrt(80)/sqrt(4)) + -4*(sqrt(2) - sqrt(8)/(sqrt(12)/sqrt(3)))*-1.
-sqrt(2)/4
Simplify (((sqrt(637) + -3 - sqrt(637))*-5)**2 - sqrt(637)) + 5*(sqrt(468) + -2).
23*sqrt(13) + 215
Simplify 2 + -4 + (4*(sqrt(4) + sqrt(24)/sqrt(6)))/(sqrt(18)/sqrt(324)).
-2 + 48*sqrt(2)
Simplify sqrt(117)*-2 + -1 + sqrt(39)/sqrt(3) - (sqrt(13) + (sqrt(65) + -1*sqrt(65))/sqrt(5) + (sqrt(13) + 1)**2 + -5).
-8*sqrt(13) - 10
Simplify (-1 + (2*sqrt(20)*5 - -2*sqrt(20)*3) + 3)**2.
128*sqrt(5) + 5124
Simplify -1 + (4 + (sqrt(1900) + (-2*sqrt(1900))**2 + -3 - sqrt(1900)))*-5*4.
-152021
Simplify ((sqrt(21)/(4*sqrt(7))*2)**2 + ((sqrt(6)/sqrt(2)*6)**2 - (3 + sqrt(3) + -1)))*1.
-sqrt(3) + 427/4
Simplify (-1 + (sqrt(468) - 5*(sqrt(468) + sqrt(468) + -1)) + (sqrt(468) - 4*sqrt(468)*1) + sqrt(468) + 2 + -1 + sqrt(468) + sqrt(468))**2.
-540*sqrt(13) + 37933
Simplify -5*((sqrt(8064)*1 - sqrt(8064)) + sqrt(8064))/(sqrt(64)/sqrt(32)).
-120*sqrt(7)
Simplify (4*-5*sqrt(60) + sqrt(60))/(sqrt(12) + ((sqrt(96) - (sqrt(96) + 5*sqrt(96))) + sqrt(96) - sqrt(96) - sqrt(96))/sqrt(8) + sqrt(12)).
19*sqrt(5)/4
Simplify sqrt(34)/sqrt(50) + (sqrt(17)*-2 + sqrt(17) + 3)**2 + sqrt(204)/(sqrt(12)*-1) + (sqrt(1088)*-1 - sqrt(17))**2.
-34*sqrt(17)/5 + 1403
Simplify 1*((sqrt(143) + -5*(sqrt(143) + 2*sqrt(143)) + sqrt(143) + sqrt(143))/(-2*sqrt(44)) + -3).
-3 + 3*sqrt(13)
Simplify -6*4*sqrt(252)/sqrt(4)*2.
-144*sqrt(7)
Simplify ((sqrt(51)/sqrt(3) + 4 + (sqrt(17) + 4)*4)*-1)**2.
200*sqrt(17) + 825
Simplify -5 + 0 + (sqrt(1323)/sqrt(9) - (sqrt(21) + sqrt(168)/sqrt(8))/sqrt(7)) + -2.
-7 + 5*sqrt(3)
Simplify sqrt(931)*-3 + -2 + (2 + sqrt(19))*-1 + 1.
-22*sqrt(19) - 3
Simplify ((5*-2*sqrt(114)*1)/((1*sqrt(66)*-6 + sqrt(66) - sqrt(66))/sqrt(11)))**2.
475/9
Simplify (-4 + -2 + sqrt(55)/(sqrt(20)/
|
{
"pile_set_name": "DM Mathematics"
}
|
1/2))/h*h)**(10/7) assuming h is positive.
h**(-31/63)
Simplify ((h**(-1/5))**(-4/15)/((h*h**(-13/3))/(h*h*h**(-9))))**(-37) assuming h is positive.
h**(10027/75)
Simplify h**(3/7)/(h*h*h**7)*(h**(-1/2)/h)**(-45)*((h/(h/h**(-2/5)))/h**(-7))/(h**2/((h**(3/8)*h)/h)) assuming h is positive.
h**(17893/280)
Simplify ((i**(-1/3))**(-48))**(-29)*((i/i**(9/4))/i**0)**15 assuming i is positive.
i**(-1931/4)
Simplify ((k/k**(-1)*k)**(-35))**(-2)/(k*(k*k**(1/4))/k*k*k*k*k**(1/5)/k)**(4/31) assuming k is positive.
k**(32481/155)
Simplify ((t/(t/(t**(2/7)*t)))/(t/((t**(2/25)/t)/t)*t*t))**(-36)/((t/t**5*t*t)/(t/t**(2/17))*(t**(-1/4)*t)**(-45)) assuming t is positive.
t**(1992853/11900)
Simplify (q**0/q)**16/(q**(-2/3))**(-4/17)*(q**(-6)/(q*q/q**(3/7)))/((q**(-1/4)/q)/(q*q*q/(((q*q**(-3/4)/q)/q)/q)*q)) assuming q is positive.
q**(-5615/357)
Simplify (o**5/(o*o*o/o**4))**(2/27)*o**(-3)*o**(-3/4)*(o/(o**1*o)*o)**39 assuming o is positive.
o**(-119/36)
Simplify (p**(-2)/((p/(p/p**(2/7)*p))/p))**(4/25)/((p*p**(-1/2)/p)**(-1/27)/(p**(1/3))**(2/29)) assuming p is positive.
p**(-11303/274050)
Simplify (((m**(-2/5)*m)/m*m)**(-1/2)*(m*m**5)/m**(-1/4))/((m/((m/(m**(-5)*m*m)*m)/m)*m*m**(-2/11))/(m**1)**(-43)) assuming m is positive.
m**(-7671/220)
Simplify ((w**(-2/5)*(w**(5/6)*w)/w)**(27/2))**(-42) assuming w is positive.
w**(-2457/10)
Simplify ((w*w/(w/w**4))/(w/(w**(-1)/w))*w*w**(-2/5)*w*w*w/w**(-1/5))/((w*w/w**4*w**(-2)*w)/(w**5/(w**(-2)*w*w))) assuming w is positive.
w**(69/5)
Simplify (((w/w**(-1/6))/(w*w**(-13)/w))/(w*w**(2/9))**24)**(3/8) assuming w is positive.
w**(-91/16)
Simplify ((n*n**(1/3)/n)**(-8/11)/(n**20*n**(-10)))**(-5/8) assuming n is positive.
n**(845/132)
Simplify ((j**(2/5)/j**(-4))/(j*j**(-2/17)*j*(j**5/j)/j))/((j**(-1)/j)/(j/(j**(1/8)*j))*(j/j**(2/7))**30) assuming j is positive.
j**(-95371/4760)
Simplify (((t/(t*t*t**2))/t)**(4/11))**(-15/4)*(t**(2/3))**(23/2)/((t*t**5)/(t*t/t**(5/6))) assuming t is positive.
t**(547/66)
Simplify (((y**(2/5)*y)**9*(y/((y**6/y)/y))/(y/(((y*y/(y/(y*y/y**(-3/4))))/y)/y)))**(-41))**16 assuming y is positive.
y**(-33948/5)
Simplify ((((w/w**(-7))/(w/(w/w**(1/14))))**38)**(-43))**(-39) assuming w is positive.
w**(3536793/7)
Simplify ((f**(2/17)/f)**0/(f*(f*f**(-6)*f*f)/f*f*f)**(1/5))**48 assuming f is positive.
f**(48/5)
Simplify ((l**0)**29*l*l/((l*l**(-2/3))/l)*l*l*l**(1/5))/((l**(-2/3))**(-9))**(-6/7) assuming l is positive.
l**(1051/105)
Simplify ((w*w**(2/5))/w*w**(-1/3))/((w/((w/w**6)/w))/(((w*w**1)/w*w)/w))*(w**(2/9)/w*w/(w*(w/w**0)/w*w*w))**(-3/5) assuming w is positive.
w**(-64/15)
Simplify (w*w*w**(-2/25)*w*w*w*w/((w*w**(-1/8))/w)*w/(w*w/((w/(w/(w/(w*w**(-2/13)*w))))/w*w))*w/(w/(w**(-4)/w)))**(-12/7) assuming w is positive.
w**(6249/4550)
Simplify (o**(-2/27)*o/(o**(-2/3)*o*o*o))**(-47)*(o/((o/((o**(-4/9)*o)/o))/o*o)*o**2)/(o**(3/5)/o*o**(-5)/o) assuming o is positive.
o**(10004/135)
Simplify ((s**(1/37)*s**24)**3)**1 assuming s is positive.
s**(2667/37)
Simplify ((w**(2/5)*w)**(-1/6))**25/((w**3)**(2/77))**49 assuming w is positive.
w**(-637/66)
Simplify ((r**(-1/2)*r/(r*r**(3/8)))/((r/r**(-1))/r**(1/2)))/((r*r**(2/7)/r)/r**(-5/3)*r*r**(-1)*r**(5/4)) assuming r is positive.
r**(-937/168)
Simplify ((((t/(t/(t/(t**1/t))))/t)/t)**8/(t**0/t**(-1/6)))/(t**(2/15)*t*(t**(2/9)*t*t)/t*(t/(t*t**(-1)))**34) assuming t is positive.
t**(-4007/90)
Simplify (n**(-7/3))**(2/11)*(n*n**(-39))/(n**29*n) assuming n is positive.
n**(-2258/33)
Simplify ((l**(-9))**(-46)/((l*l**(3/4)*l)/(l*l**(-36/11)*l)))**(-22) assuming l is positive.
l**(-18039/2)
Simplify ((u/(u*u*u**(1/3)*u*u)*u**(-7))/(u**7*u*u*u**(-4/7)*u))**2 assuming u is positive.
u**(-830/21)
Simplify ((((p**5*p)/p)/p)/(p/((p*p/(((p*p/(p/p**8*p)*p)/p)/p*p))/p)))**(3/26)/((p/(p/(p*p/p**(-1/5)*p)))/p**1*p**(-2/9)/p**(-2/5)) assuming p is positive.
p**(-1661/585)
Simplify ((l/(l*l**1))**49)**(-1/13)*(l**(1/6)/l**(2/11))/(l**(2/37)*l*l**(-4/5)) assuming l is positive.
l**(555559/158730)
Simplify (u**2)**50/((u/(u/(u/((u/(u**(3/5)/u)*u)/u*u))))/(u*u*u**(1/2)*u))*((u**1)**29)**(2/39) assuming u is positive.
u**(41491/390)
Simplify v/(v*v**(-2/3))*v*v**5*v*v*(v/(v/(v*v*v/v**(-1))*v)*v)**(1/11)*(((v*(v/(v**0/v))/v*v)/v)**(-28))**24 assuming v is positive.
v**(-44054/33)
Simplify ((n**(-38/5)*n**(-25)/n*n)**(2/123))**(-7) assuming n is positive.
n**(2282/615)
Simplify ((d/(d*d*d**(1/2))*d)**33)**(-40)/((d**5/(d*d*d**1/d*d))/(d*d**(-5)*d*d/d**4)) assuming d is positive.
d**652
Simplify (a**(-1/3)*a)**(2/13)*(a**(-6)/a)/a**(-1)*((a**(-2/9)/a)/a*((a*a**7)/a)/a*a)/(a/a**(6/5)*a*((a*a**(-2/11))/a)/a) assuming a is positive.
a**(-4748/6435)
Simplify (x/x**(1/13)*x**(-13))**(-2/101)*(x*(x/((x*x**(-4/9))/x))/x*x*x**(3/4))/((x/(x/(x*x*x*x/(x/x**(3/2)))))/(x/x**2)) assuming x is positive.
x**(-97675/47268)
Simplify ((u**(2/9)*u)/(u*u**(3/8)*u)*u**(-4)/u**(1/9))**(-37) assuming u is positive.
u**(14023/72)
Simplify ((v/(v/v**(-2/9)))**(3/2)/(v**(-8)/(v/(v*(v/(v/(v**0/v*v)))/v*v))))/(((v*v/(v*v*v**9*v))/(v*v*v*v**6))/(v**(-1/7)*v/v**(-8))) assuming v is positive.
v**(746/21)
Simplify (((w*w/(w/w**(1/4)))**28/(((w**2*w)/w)/(w*w**(4/5)*w*w*w)))**(-1/14))**(11/2) assuming w is positive.
w**(-297/20)
Simplify (u**2)**(-1/5)*(u**(1/3)/u*u*u)**1*(u**(1/16)/(u**(-6)*u*u*u))/(u*u**(-5)*u**7) assuming u is positive.
u**(239/240)
Simplify ((s/(s/(s**2*s)))/(s/(s/(s*s*s**(1/6)/s))))**(-29)*((s**(1/2))**(2/35))**(8/5) assuming s is positive.
s**(-55777/1050)
Simplify ((y/y**(-2/7))/y)**(4/19)/((y**(6/11)/y)/((y**8/y)/y))*(y*(y**(-2/3)*y)/y*y)**(-9)/(((y**2/y)/y)/(y*y/(y**(-6)*y))) assuming y is positive.
y**(2216/1463)
Simplify (j**(-1)*j*j)/j**(-3)*j**(-1/10)*j*j**(5/6)*((j**(-1)/j)**23)**4 assuming j is positive.
j**(-2674/15)
Simplify ((((n/n**14)/n)/(n*n**(4/7)*n))/(n**(-1/4)/n)**41)**(-50) assuming n is positive.
n**(-24275/14)
Simplify (((k**(-1/2))**(-11)*(k**(-1))**(-6/7))**(-34))**35 assuming k is positive.
k**(-7565)
Simplify (((c*(c/c**(-4))/c)/c*((c**(-2/13)/c)/c*c)/c)/(c*c/(c/(c**(-2)/c)))**23)/((c*c*c*c**(1/3)*c*c*c)**5)**(-47) assuming c is positive.
c**(59911/39)
Simplify (o*o*o**(-3)*o*o*o**2)/((o/o**9)/(o*o**(3/8)))*((o/o**(1/4))/o)**(-32)/(o**(-2/5)/(o**8/o*o*o)) assuming o is positive.
o**(1191/40)
Simplify (h**(4/5)*h/h**(1/11))/(h**(-4)/h**(-3))*(h**(-2/3)*h**(-2/11)*h)/(h/h**0)**(-2/121) assuming h is positive.
h**(5222/1815)
Simplify (((q/((q**(-1/3)*q)/q))/q)**(-2/11))**(-2/65)/(((q*q*(q*q**(-2/5))/q)/q)**(2/49)/(q**(-1))**(-1/32)) assuming q is positive.
q**(29009/3363360)
Simplify ((a/a**(-2/13))/(a*a**(-7)))**(4/27)*(a**(-2/7))**8/((a*a/(a**4/a))/(((a/(a*(a/((a/(((a**3*a)/a)/a))/a))/a*a)*a*a*a)/a)/a)) assuming a is positive.
a**(-1823/819)
Simplify a**(-5/8)*a**46*(a**22)**(-2/107) assuming a is positive.
a**(38489/856)
Simplify (s**(1/9)*s/(s/((s*s/s**(-5))/s))*(s/(s*s**1))**(-36/7))/((s**(-2)*s/(s*s*(s/(s*s**6)*s*s)/s*s*s))/(s**(4/9)/(s*s**(-2/7)))) assuming s is positive.
s**(692/63)
Simplify (y**(2/7)*y)**(-17/3)/(y**(2/5))**2*y**(1/3)*y*y**(-2)*((y**(-5/2)/y)/y)/(y/y**3) assuming y is positive.
y**(-2363/210)
Simplify (a**(1/20)*a*a/(a/(a/a**(-10)))*(a*a**(-2)*a)**(-35/2))**31 assuming a is positive.
a**(7471/20)
Simplify (s**(7/5)/(s**(-2/5)/s))**(-2/29)*(s**(2/7))**(41/4)/((s/s**(-1/2))/s)**(-29) assuming s is positive.
s**(17494/1015)
Simplify j*j/j**(5/3)*j/j**(-5/3)*(j**(-2/3)*j)**(-3/10)*(j**1)**(-32)*j**(1/4)*j/j**(-1/4) assuming j is positive.
j**(-138/5)
Simplify ((k*k*k**(-5)*k)/(k*k**(-4/3)))/(k/((k*k/k**(-6))/k)*(k/(k/k**(2/5))*k)/k*k)*((k*k/(k/(k**1/k))*k)**35)**(-43) assuming k is positive.
k**(-45106/15)
Simplify ((c**0)**(-1/8))**(-27)/(c**6*c*c**(1/3)*c*c**(2/9)/(c/((c*c*c**(-2/5))/c))) assuming c is positive.
c**(-367/45)
Simplify (((k*k**10)/(k/(k*k**(-27)*k)))/((k/(k*k*k**(-19/2)))/k**(4/7)))**(-39) assuming k is positive.
k**(12519/14)
Simplify ((n**(-1/3)/n)**(-25)/((n*n**(5/6)/n)/n**(-9)))**(2/39) assuming n is positive.
n**(47/39)
Simplify (l**(-1)*l**(-1)*(l**(-1/2)/l)/(l*l**(-5)))/((l/l**(-1/2))/(l/(l/(l*l**(-2/3)*l*l)*l)*l))**(-1/22) assuming l is positive.
l**(61/132)
Simplify (s**(-7)/(s*(s/(s**(-4)*s*s*s))/s))/(s**(-2/9)/(s*s*s**(-3)*s))*(s/s**(1/8))/s**(-8)*s/(s**4/s)*s**(-4/9) assuming s is positive.
s**(-169/72)
Simplify ((i/i**3
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{
"pile_set_name": "DM Mathematics"
}
|
*2 + 840*k**2
What is the second derivative of d**2*m**4 + 95892*d**2*m**3 + 42898*d**2*m - 2*d**2 wrt m?
12*d**2*m**2 + 575352*d**2*m
Find the third derivative of 28480*o**3 - 4*o**2 - 1978*o wrt o.
170880
Find the second derivative of -h**3 + 50316*h**2 + 15*h + 17214 wrt h.
-6*h + 100632
What is the third derivative of -4242*i**3*j**3 - 11*i**3*z + i**2*j*z + 1846*j**3 wrt i?
-25452*j**3 - 66*z
Find the second derivative of -14*q**4 - 9*q**3 - 9*q**2 - 64409*q wrt q.
-168*q**2 - 54*q - 18
Find the second derivative of 50192*n**3 + 85752*n.
301152*n
Differentiate -3791230*g + 540942 wrt g.
-3791230
Find the third derivative of 2*a*f*k**3 + 16*a*f*k + 137*a*f - 4*a*k**3 + 4*a + 7171*f*k**3 + 8*k**3 - 4*k**2 + 3*k wrt k.
12*a*f - 24*a + 43026*f + 48
What is the first derivative of -2*y**3 + 107*y**2 + 264*y + 65619?
-6*y**2 + 214*y + 264
Find the third derivative of 26568*o**4 + 2*o**3 - 5*o**2 + 36501 wrt o.
637632*o + 12
Find the first derivative of 223021*u - 243331 wrt u.
223021
Differentiate 407337*m**2*o**4 + 6*m**2*o**2 - 2*m**2 - 3321034*m wrt o.
1629348*m**2*o**3 + 12*m**2*o
What is the second derivative of 4*o**4 + 5003*o**2 + 1410055*o wrt o?
48*o**2 + 10006
Find the second derivative of 8*d*f**2*g*v - 24*d*f**2*g - d*f*g*v**2 + 36*d*f*g*v - 14*f**2*g*v**2 + 50*g*v**2 - g wrt f.
16*d*g*v - 48*d*g - 28*g*v**2
What is the derivative of -3*k*w**3 - 204*k*w**2 - 394*k - 3*w**3 - 2*w**2 - 588*w - 92 wrt k?
-3*w**3 - 204*w**2 - 394
Find the first derivative of f*m*o - 152239*f*p**2 - 148*m*o*p**2 + 65*m*p + 2*o*p**2 + 2*p wrt f.
m*o - 152239*p**2
Find the second derivative of -k**3*x**2 - 2949*k**3*x + 4*k**2*x**3 - 1977*k*x**3 - 8*k*x**2 - 2*x**3 wrt k.
-6*k*x**2 - 17694*k*x + 8*x**3
What is the second derivative of 269*h**2*v**2 + 1573*h**2 - h*v**2 + 10*h - 203*v**2 - 8*v wrt h?
538*v**2 + 3146
Find the third derivative of j**2*w**3 - 299*j**2*w**2 - 9*j**2*w + 19593*w**6 - 12*w wrt w.
6*j**2 + 2351160*w**3
What is the first derivative of -904241*n - 891460?
-904241
Find the first derivative of 4347*k**4 - 11*k*q + 48076*q - 1 wrt k.
17388*k**3 - 11*q
Find the third derivative of 2316641*b**3 + 2426534*b**2.
13899846
What is the first derivative of 68741*b*v**2 + 171*v**2 - v + 84 wrt b?
68741*v**2
Differentiate 2*h*v**2 - 81587*h*v - 436097*h - 2*v**3 - 2*v with respect to v.
4*h*v - 81587*h - 6*v**2 - 2
Find the second derivative of -k**2*l**2*x + 26832*k**2*l*x - 45*k*l*x - 2*k*x + 2*l**2*x + 499*l*x wrt k.
-2*l**2*x + 53664*l*x
Find the second derivative of 404*b**2*q - 16*b**2 - 10552*b*q + b - 1 wrt b.
808*q - 32
Differentiate -5051247*f**3 - 664815 with respect to f.
-15153741*f**2
Find the second derivative of -137168*j**3 + 104189*j wrt j.
-823008*j
Differentiate 4213*v**2 - 3*v + 11536.
8426*v - 3
Find the second derivative of -101*f**5 - 4*f**3 - 2*f**2 + 14234*f + 2.
-2020*f**3 - 24*f - 4
Find the second derivative of -80763*l*r**2 - 296514*l*r + 2*l wrt r.
-161526*l
What is the third derivative of -3225*y**5 + 6*y**4 - 4*y**3 - 296873*y**2 wrt y?
-193500*y**2 + 144*y - 24
Differentiate -217297*c**2*i**2 + 53667*i**2 - 2 wrt c.
-434594*c*i**2
Find the third derivative of 235477*j**3 - 163713*j**2.
1412862
What is the third derivative of 102507*y**4 - 16*y**2 + 101*y - 11?
2460168*y
Find the second derivative of -225680*r**2 - 249004*r.
-451360
What is the third derivative of -2079*b**6*r - 760*b**4*r**3 + 67*b**2*r**3 + 28*b**2*r**2 + b + 2*r**2 - 154*r wrt b?
-249480*b**3*r - 18240*b*r**3
What is the first derivative of -2*l**2*m + 748877*l**2 - 3*l*m + 165*m wrt m?
-2*l**2 - 3*l + 165
Find the third derivative of 214488*w**3 + 123588*w**2 wrt w.
1286928
Differentiate 104479*t*x**2 - 3*t*x*y - 239*x**2 + 852*x*y wrt t.
104479*x**2 - 3*x*y
What is the first derivative of 2*f**2*u + 1128*f**2 + 11*f - 17053*u - 1 wrt f?
4*f*u + 2256*f + 11
Find the second derivative of -5003*d**2*k**3 + 32193*d**2*k + 3*d*k**3 wrt k.
-30018*d**2*k + 18*d*k
Find the first derivative of 118*c*o**3 - 1436659*c - 4280*o**3 wrt o.
354*c*o**2 - 12840*o**2
Differentiate 35*f*n**2 + 149*f*n*x + f*n + 3*f - 2*n**2*x + n*x + n + 105*x - 342 with respect to x.
149*f*n - 2*n**2 + n + 105
What is the third derivative of 171662*c**4 + 4*c**2 + c + 1656 wrt c?
4119888*c
What is the first derivative of 94543*x**3 + 69424?
283629*x**2
What is the derivative of 14*o**4 - 2315*o**2*r**2 + 146015*r**2 wrt o?
56*o**3 - 4630*o*r**2
What is the third derivative of -3266705*c**2*f**3 - 2*c**2*f + 19*c*f**2 + 27349*f**2 wrt f?
-19600230*c**2
What is the derivative of n*x - 889713*n - 198940*x**2 wrt x?
n - 397880*x
Differentiate -5746*f**2*v - 40693*f**2 + 4*f*v wrt v.
-5746*f**2 + 4*f
What is the third derivative of f**2*k**3 + 53146*f**2*k + 58*f*k**3 + 2*f*k**2 - 567*k**3 wrt k?
6*f**2 + 348*f - 3402
What is the third derivative of -m**3*q**3 + m**3*q**2 + 13125*m**3*q + 2*m**2*q**3 + 1519*m**2*q**2 - m**2 + 5*q**2 wrt m?
-6*q**3 + 6*q**2 + 78750*q
What is the third derivative of 15034*x**6 + 8*x**4 - 58298*x**2?
1804080*x**3 + 192*x
What is the second derivative of 2342*a**3*t**2 - 16*a**3 + a**2*t**2 - 22*a*t**2 - 215*a*t wrt a?
14052*a*t**2 - 96*a + 2*t**2
What is the third derivative of -5290*n**3*q**3 - 8430*n**3*q + 2*n**2*q**2 - n*q**2 - n - 175*q**3 - 4*q wrt q?
-31740*n**3 - 1050
What is the second derivative of -27621*c**2*f*p + 24*c*f*p - 9*c + f*p - p wrt c?
-55242*f*p
What is the third derivative of 74815*d**3 - 3048*d**2 + 6 wrt d?
448890
What is the third derivative of 26*a**4*d**2 + 840*a**3 + 576*a**2*d**2 - 59*a*d**2 wrt a?
624*a*d**2 + 5040
Find the second derivative of -23545*i**5 - i**4 - 4*i**2 - 1129500*i.
-470900*i**3 - 12*i**2 - 8
Differentiate -1675190*k**3*t + 51*k**3 + 5143*k wrt t.
-1675190*k**3
What is the first derivative of 63181*r**2 + 55199?
126362*r
Find the first derivative of 5*o*s - 67966*o - 3829*s**2 wrt s.
5*o - 7658*s
What is the first derivative of -928964*i - 917949?
-928964
Find the second derivative of 140*g**3*x - 15*g**2*x + 5*g**2 + 20471*g*x - 2*x wrt g.
840*g*x - 30*x + 10
What is the third derivative of 4460*g**2*y**3 + 80*g**2*y**2 - 47*g**2*y + 3*g*y**3 + 4*g*y**2 + 37*y**3 + 4 wrt y?
26760*g**2 + 18*g + 222
Find the second derivative of -1363293*u**2*w**3 + 4050681*u**2*w wrt w.
-8179758*u**2*w
What is the derivative of 7*t**3 - 124*t**2 - 8*t + 21458?
21*t**2 - 248*t - 8
Differentiate 104*m**4 - m**3 + 2*m**2 - 110*m + 155451 wrt m.
416*m**3 - 3*m**2 + 4*m - 110
Find the second derivative of 140*b*q**2*x + 38*b*q**2 - 3*b*q*x - b*q - q**2*x - 7*q**2 - 13591*q + 4*x wrt q.
280*b*x + 76*b - 2*x - 14
What is the second derivative of -2*k**3*m + 2344*k**3*p + k*m*p - k*p - m*p + 2228*p wrt k?
-12*k*m + 14064*k*p
What is the third derivative of 410835*z**3 + 1806144*z**2 wrt z?
2465010
What is the second derivative of -18081*b**3 - b**2 + 3566*b + 25?
-108486*b - 2
What is the third derivative of 132*b**5 + 1692*b**3 - 177*b**2 - 1000*b?
7920*b**2 + 10152
Differentiate 2*k**2*w**2 - 47*k**2*w - k*w**2 + 165*k + 443749*w**2 with respect to k.
4*k*w**2 - 94*k*w - w**2 + 165
Find the first derivative of -9193*b**3 + b**2 + 12*b - 831532.
-27579*b**2 + 2*b + 12
Find the second derivative of 552162*n**2 + 122373*n.
1104324
What is the third derivative of -465141*n**4 + 2*n**2 - 22160*n?
-11163384*n
Find the second derivative of -5364*v**2*y**4 + 11*v**2*y**2 - 174*v**2 - 6301*v*y wrt y.
-64368*v**2*y**2 + 22*v**2
What is the second derivative of 393*b*r**2*v - 6*b*r*v + b*r + 227*r**2 - 33*r*v - 2*r + 1 wrt r?
786*b*v + 454
Differentiate g**2 + 11474*g - 1507 with respect to g.
2*g + 11474
What is the second derivative of 40045*k**4 + 4942319*k?
480540*k**2
What is the third derivative of 9*u**3*v**4 - 8*u**3*v**2 + 2*u**3 + 91*u**2*v**3 + 2*u**2*v**2 - v**4 + 6343*v wrt v?
216*u**3*v + 546*u**2 - 24*v
What is the second derivative of -471878*b**3*w**2 - b**3*w - b**2*w**5 + 27366*b**2 wrt w?
-943756*b**3 - 20*b**2*w**3
Find the second derivative of 325447*p**5 + 128437*p - 2.
6508940*p**3
What is the second derivative of -3471405*d**3*p**2 + 103441*d**3*p wrt p?
-6942810*d**3
What is the second derivative of -2406083*f**2 - 2717859*f?
-4812166
Differentiate -3*h**3*k + h**3 - 17170*h**2*k**2 - 248*h**2 + 8 with
|
{
"pile_set_name": "DM Mathematics"
}
|
z*s**3 + n + w*s + k*s**2 and give z.
-3
Rearrange 2*f**3 + f**4 - 1 - 4*f**3 - 5*f**2 + 6*f**2 to the form r + g*f**3 + n*f**2 + i*f + p*f**4 and give r.
-1
Express (3*s**2 + 4*s**2 + 0*s**2)*(-3*s + 3*s + 10*s**2)*(1 + 1 - 5) as f*s**2 + q*s + z + b*s**4 + h*s**3 and give b.
-210
Rearrange (-34*j + 251*j + 10*j)*(-2*j + 3*j - 3*j) + 2*j**2 - 5*j**2 + 5*j**2 to the form u + q*j + w*j**2 and give w.
-452
Rearrange (0 - 1 - 1)*(4 + 3 - 27)*(v**3 - 3*v**3 + 0*v**4 - v**4) to s*v + i + u*v**4 + h*v**2 + k*v**3 and give u.
-40
Rearrange 2*q**2 - 10*q**3 + 1 + 12*q**3 + q**4 + 1 - 2*q to the form y*q + a*q**3 + o*q**4 + l + n*q**2 and give o.
1
Rearrange -1227 + 1227 + 2*o**2 + 2*o**4 + 2*o - 2*o**3 to the form w*o + i*o**2 + r + p*o**4 + b*o**3 and give i.
2
Rearrange 2*m**4 + 4*m**3 - 3*m**2 + m - 13 - 4*m**4 + m + 10 to o*m + n + k*m**4 + b*m**2 + x*m**3 and give n.
-3
Rearrange (s**2 - 2*s**2 + 0*s**2)*(-4*s**2 - 12*s + 3*s**2 + 3*s) to the form o*s**4 + l*s**2 + h + w*s + y*s**3 and give o.
1
Express (6*m + 7*m + 5*m)*(-m**3 - 2*m**2 + 2*m**2) in the form k + f*m**2 + l*m**4 + w*m**3 + b*m and give l.
-18
Rearrange -15*i**3 + 19*i**3 - 2*i - i + i**2 to the form s*i**2 + g*i + h + v*i**3 and give g.
-3
Express -1 + 3*h + 1 - h + 2 - 2 - 3*h + 4*h + h + (-1 + 4 - 4)*(h + h - 3*h) + h + 0 + 0 - 3*h - 2*h - 5*h + h + 4*h - 3*h as q + i*h and give q.
0
Rearrange 5*w**2 + 3*w**2 - 9*w**2 to p*w + j + d*w**2 and give d.
-1
Rearrange -18*r + 8*r + 9*r + 27 to i + c*r and give i.
27
Express -4*k**3 + 2 + 7*k**3 - 2*k**3 - 2*k**2 as y*k**3 + o*k**2 + p*k + g and give o.
-2
Rearrange -26*b**3 + 11*b**3 + 3 - 5 to l*b**3 + o + p*b + n*b**2 and give n.
0
Express (-5*x + 2*x + 2*x)*(2 - 2 + 2*x**2) + (-x - 5*x + 4*x)*(-5*x**2 + 6*x**2 + x**2) as q*x**2 + p*x + r*x**3 + k and give p.
0
Express 9 + 5*p**2 - 9 as l + x*p + k*p**2 and give k.
5
Express -5*u**3 + 2*u**2 + 7*u**3 + u**3 + u**4 - u**3 as b*u**3 + z + j*u**2 + h*u**4 + r*u and give b.
2
Rearrange (175 - 210 - 2*k + 0*k)*(0*k + k - 3*k) to the form x*k + r*k**2 + u and give x.
70
Rearrange -27*o - 24 - 33 + 57 to the form b*o + n and give b.
-27
Express 23*s**2 + s**3 - 52*s**2 - 1 + 26*s**2 in the form a*s**3 + r + z*s + c*s**2 and give r.
-1
Express -y + 16 - 16 + y**3 as i*y**3 + a + f*y + b*y**2 and give b.
0
Express (-2*j - j + 0*j)*(-18*j + 29*j - 19*j + (2*j + 1 - 1)*(3 + 2 - 6)) as k*j**2 + y + d*j and give y.
0
Express ((-1 - 1 + 1)*(-1 - 1 + 3) - 341 + 78 + 29)*(-6*h + 2*h + 3*h) as k + j*h and give j.
235
Express 2*m - m - 3*m + 2*m - 3 + 3 + (8 + 10 + 2)*(0 - m + 0) as c*m + l and give c.
-20
Express 2*a**2 + 9*a - 2*a**4 - 4*a**2 + 5*a**4 - 5*a**4 as i*a**2 + b*a**3 + o*a**4 + t*a + p and give i.
-2
Express ((4 + 5 - 3)*(-2*l + l + 2*l) + 1 - 1 - l)*(l + 0*l + 6*l) in the form v + s*l**2 + f*l and give s.
35
Express 13*m**3 + 2 - 5*m**3 - 6 in the form u + l*m**3 + z*m + t*m**2 and give u.
-4
Rearrange -3*w - 62 + 62 + (2 + 0 + 0)*(3*w - 4*w + 3*w) to the form l + p*w and give p.
1
Rearrange (-11 - 5 + 3)*(-1 + 3 - x - 1)*(0*x - x - 6*x) to the form u + j*x**2 + n*x and give n.
91
Express 3*p**4 - p**3 - 3*p + 6*p - p in the form w*p**3 + m + a*p**2 + b*p**4 + q*p and give w.
-1
Rearrange (2 + 1 - 4)*(-1 + 3 - 1)*(-3*b - 14*b + 2*b) to o + k*b and give k.
15
Rearrange 70*r**3 + 0*r - 2*r**2 - 2*r**4 - 65*r**3 + r to the form m*r**2 + w*r**3 + a*r + t*r**4 + u and give w.
5
Rearrange -2*m + m + 2*m + 1 - 1 - m - 2*m + 0*m + 3*m + (m + 5*m - 5*m)*(4 - 3 + 0) + 6*m - m - 3*m + 0*m - m - m to the form u*m + k and give u.
2
Rearrange (-2*p + 0*p + 3*p + (-5 + 6 + 1)*(0 + 0 + 2*p) - p - 3*p + 6*p)*(6 - 11 - 3) to t*p + h and give t.
-56
Express (-86*u + 1050 - 1050)*(-u + 0*u + 3*u) as h*u**2 + k*u + l and give h.
-172
Rearrange -4*h**3 + 36 - 20 + 73 + 5*h**3 to k + q*h + d*h**3 + z*h**2 and give d.
1
Rearrange (1 + 2 - 2)*(-3 + k + 3) + (4 - 4 - 2)*(3 + 2*k - 3) - 3*k - 15*k - 2*k to the form r + p*k and give p.
-23
Rearrange (0 - 3 + 1)*(3 + i**2 + 5 + i**2) to w*i + y*i**2 + j and give j.
-16
Rearrange -3*j - 3 + 3 + (-1 + 1 - 2)*(-2*j + 3 - 3) - 3 + 2*j + 3 + j - 4*j + j + 4*j - 4*j + 2*j to x + o*j and give o.
3
Express -4*f**4 - 2*f**2 - 6*f**3 + f**3 - 3*f**3 + 9*f**3 + f as a + w*f + g*f**2 + s*f**4 + k*f**3 and give k.
1
Rearrange -17*n + 21*n + 18*n + 24*n to r + j*n and give j.
46
Rearrange -3*s**3 + 2*s**2 - 4*s**3 + 6*s**3 to d*s**3 + n*s**2 + q + h*s and give d.
-1
Express -3*w**2 - 67*w + 68*w + w**3 + 7*w**4 + 2*w**2 as m*w**2 + i*w**4 + u*w**3 + g*w + z and give m.
-1
Rearrange (-1221*s + 2 + 625*s + 501*s)*(-2*s**2 + 2*s**2 + 2*s**2) to the form y*s + f + x*s**3 + h*s**2 and give x.
-190
Rearrange (0 - 2*f + 0)*((0 + 0 - 2)*(4 - 2 - 1) - 19 + 18 - 30) to a*f + r and give a.
66
Rearrange 45*a**2 - 55*a**2 + 26*a**2 to q + i*a + x*a**2 and give i.
0
Express 1 - 2 - w + 0 + (5*w - 4*w + 3*w)*(0 - 2 + 3) in the form m*w + f and give m.
3
Rearrange (-2 - 4 + 4 + (1 + 1 + 0)*(2 - 1 + 1) + 1 - 3 - 5)*(4*y - 4*y - y**2) to the form w + f*y + t*y**2 and give t.
5
Express -2*l**4 - 2 + 2*l**2 + 2 - 2*l**3 - 1 as t*l**4 + n*l**3 + a*l + y + b*l**2 and give t.
-2
Express 2*i**2 - 3*i**2 + 4*i**2 - 3*i**2 + 3*i**2 - 2*i**2 + (4*i - i + 0*i)*(-2*i + 3*i + 2*i) - 2 + 2 - i**2 in the form r + o*i**2 + w*i and give o.
9
Rearrange (-3 + 0 + 2 + (1 - 1 + 1)*(0 - 6 + 4))*(6 - 8 - 30*v + 4*v) to the form l + q*v and give q.
78
Express -3 - 387*w**3 + w + 387*w**3 - w**4 as l*w + a + r*w**4 + d*w**2 + j*w**3 and give d.
0
Rearrange (-4*k + 40*k + 69*k + 11*k)*(-3 - 1 + 5) to t + u*k and give u.
116
Express (-2*x**2 - 6 + 6)*(-2*x**2 + 2*x**2 - 8*x**2) as k + y*x + u*x**3 + t*x**2 + q*x**4 and give q.
16
Rearrange (-3 + 3 + s)*(-7 + 2 + 1) + (-2 + 2 + 1)*(0*s + 0*s + 5*s) to z + w*s and give w.
1
Express (0 - 1 + 3)*(2*c**2 - c - 8*c**2 - 2*c**2) as f*c + v*c**2 + d and give f.
-2
Rearrange -8*s + 2 - 16*s - 2*s + 2*s to the form j*s + z and give z.
2
Express 28*t**2 + 45 - 45 in the form p + l*t + k*t**2 and give k.
28
Express -3*h**2 - 2*h + 8*h**3 - 14*h**3 + 2 + 14*h**3 as i*h**2 + d + z*h + w*h**3 and give w.
8
Express -1070*i**2 + 2*i**3 - 126 + 2*i**4 + 1070*i**2 as g + s*i + b*i**4 + l*i**2 + d*i**3 and give b.
2
Express 3*p**3 - 3*p - 2*p**4 + 5*p - 3*p**2 + 2*p**2 + p**4 in the form u*p**4 + v*p**2 + h*p**3 + t + j*p and give j.
2
Rearrange 0*u**2 + 5*u**2 + 2*u - 3*u**2 + 2*u**3 to the form i*u**3 + m*u + f + x*u**2 and give x.
2
Rearrange (-v + 5*v - 2*v)*(-87*v - 6*v**2 + v**2 + 101*v) to the form k*v + t + j*v**2 + i*v**3 and give i.
-10
Rearrange 23 - 40 - f**4 - 2*f**3 + 2*f**2 + 16 to a*f**3 + n + u*f**4 + y*f + t*f**2 and give n.
-1
Express 6*m**3 + 5*m**3 - 5*m**2 - 10*m**3 in the form b*m**2 + g*m + l*m**3 + w and give b.
-5
Express 9 + 11 - 18 - 2*h + 1 in the form m + x*h and give m.
3
Express (-7*u - 17*u + 9*u)*(2*u - 2*u + u) in the form t + x*u + a*u**2 and give a.
-15
Rearrange (2 + 1 - 5 + (0 + 0 + 4)*(4 - 2 - 1))*(2 + l - 2) to the form f*l + w and give f.
2
Express 0 + 2 + 57*g**2 - 49*g**2 in the form l + m*g + k*g**2 and give k.
8
Express i**4 - 6*i**3 + 0*i - 4*i - 1 + 7*i as r*i**3 + g*i**4 + m*i**2 + w + x*i and give w.
-1
Rearrange 25 - 45 + 21 - 22*p**2 to c*p**2 + a*p + k and give k.
1
Express -19*n**2 + n - n + 2 + 21*n**2 in the form d*n**2 + l*n + s and give d.
2
Express 6 + 28*n - 1 - 5 in the form j + t*n and give t.
28
Rearrange ((-4*d + 0*d + 2*d)*(-1 + 2 + 0) + 4 + 5*d - 4)*(1 + 1 - 5)*(1 - 1 + 2*d**3) to the form n + t*d**4 + z*d**2 + q*d**3 + h*d and give t.
-18
Express 8*v**3 - 3 + 2*v + 1 - 7*v**3 + 3*v**2 as j + c*v + a*v**3 + b*v**2 and give a.
1
Express (0*c**2 + c**2 - 4*c**2 + (-c - 3*c + 5*c)*(c + c - 4*c) - 2 + 2 + c**2)*(-5*c - 2*c**2 + 5*c) as k*c**4 + m*c + o*c**3 + j + t*c**2 and give k.
8
Express (2*w**2 + 2*w**2 - 2*w**2)*(w + 0*w + 0*w) + 2*w - 2*w + 3*w**3 + (0*w + 2*w - 4*w)*(-w + w + w**2) as a*w**3 + d + b*w**2 + u*w and give a.
3
Rearrange -3*h**2 + 3*h**2 - h**2 to j + z*h + a*h**2 and give j.
0
Rearrange 0*g**3 - g**4 - 2*g**3 - 2*g**2 + 6*g - 5*g to the form k + c*g**2 + t*g**3 + q*g**4 + y*g and give q.
-1
Rearrange 2*k**3 + 2*k + 12 - 5*k**2 + 4*k**2 - 19 to the form l*k**2 + r*k + z + i*k**3 and give i.
2
Rearrange
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 0 + 6/5*d = 0.
0, 1, 2
Let m = -522 + 524. Let g be (8 - 0)/(3*m/3). Solve -1/2 + 4*l**g - l**3 - 7/2*l**2 + 11/4*l - 7/4*l**5 = 0.
-1, 2/7, 1
Solve 35*h**3 + 49*h - 258*h**4 - 41*h - 38*h + 208*h**4 + 55*h**2 = 0 for h.
-1, 0, 1/2, 6/5
Let m(z) be the second derivative of -48/7*z**2 - 38/3*z**4 + 4*z - 4 - 7/5*z**5 + 328/21*z**3. Factor m(s).
-4*(s + 6)*(7*s - 2)**2/7
Let i(h) be the first derivative of 2*h**3/11 - 258*h**2/11 - 96*h + 808. Find w, given that i(w) = 0.
-2, 88
Let h = 245 + -1212/5. Let z be (-6)/((360/108)/(16/(-18))). Factor -6/5 - z*t**2 + h*t + 1/5*t**3.
(t - 6)*(t - 1)**2/5
Let s be (0 + 3 - 5) + 8/2. Suppose 0 = 3*z + s*j + j, 20 = z - 3*j. Determine t so that -59*t**z + 4*t**4 - 6*t**2 + 2*t**3 + 57*t**5 + 2*t**2 = 0.
-1, 0, 1, 2
Determine l, given that -39/4*l + 1031/8*l**3 - 387/8*l**4 - 721/8*l**2 - 5/8*l**5 + 20 = 0.
-80, -2/5, 1
Suppose -14874 + 3*h**2 - 7959 - 420*h + 37533 = 0. Calculate h.
70
Let h be 7 + 5*5*(-4)/50. Find v, given that 140*v**3 - 16*v**2 - 14*v**4 + 3*v**5 - 63*v**3 - 49*v**3 - v**h = 0.
0, 1, 2, 4
Suppose -97*y + 23*y + 86 = -31*y. Suppose -2/13*m**3 + 16/13*m**y - 2/13*m**4 + 24/13*m + 0 = 0. Calculate m.
-2, 0, 3
Let p = -30 + 91. Let h = -59 + p. Factor 101*a**h + 45*a - 40 + 104*a**2 - 210*a**2.
-5*(a - 8)*(a - 1)
Solve 111 - 51 - 5*z**2 + 523 + 2 + 580*z = 0 for z.
-1, 117
Suppose -1 = q + 3*o, -4*q + 8 = 4*o - 4. Suppose q*n = -5*n. Determine s so that n*s**3 - 12 - 2*s**3 + 3*s**3 + 4*s - 5*s**3 + 12*s**2 = 0.
-1, 1, 3
Let f(p) be the first derivative of 5*p**6/6 + 8*p**5 - 55*p**4/4 - 890*p**3/3 - 1010*p**2 - 1400*p + 873. Let f(k) = 0. What is k?
-7, -2, 5
Let n(m) be the first derivative of 71*m**2 + 0*m - 124 - 2/3*m**3. Solve n(j) = 0.
0, 71
Let c(a) be the third derivative of 0*a - 2/105*a**6 + 0 - 2/7*a**4 + 34*a**2 - 11/105*a**5 - 3/7*a**3 - 1/735*a**7. Suppose c(o) = 0. Calculate o.
-3, -1
Let g**2 - 57/7*g + 50/7 = 0. Calculate g.
1, 50/7
Let m(q) be the third derivative of q**7/420 + q**6/120 - q**5/40 - q**4/6 - q**3/3 - 304*q**2. Let m(x) = 0. What is x?
-2, -1, 2
Suppose 0 = 6*g + 130 + 32. Let l be -5 - (2 + 18/(-10))*g. Determine p so that -2/5*p**2 + 0 - l*p = 0.
-1, 0
Let n = 26583 - 106329/4. Let v(c) be the first derivative of -3 + 0*c + 1/5*c**5 + n*c**4 + 2/3*c**3 + 0*c**2. Suppose v(g) = 0. What is g?
-2, -1, 0
Let k = -19464 + 19468. Let n(i) be the second derivative of -1/20*i**5 + 1/6*i**k + 13*i + 0 + 0*i**3 + 0*i**2. Factor n(c).
-c**2*(c - 2)
Let p(g) be the second derivative of -g**5/90 + 13*g**4/54 - 35*g**3/27 - 49*g**2/9 + 257*g. Suppose p(m) = 0. Calculate m.
-1, 7
Let -57/5*x**2 + 93/5*x**4 + 103/5*x**3 - 36/5 + 9/5*x**5 - 112/5*x = 0. What is x?
-9, -1, -2/3, 1
Let u(a) be the first derivative of -2*a**5/15 + 26*a**4/3 + 440*a**3/9 + 224*a**2/3 + 3163. What is k in u(k) = 0?
-2, 0, 56
Suppose 0 = 22*y + x - 2, -y - 86*x + 6 = -83*x. Find o such that y - 4/11*o - 2/11*o**2 = 0.
-2, 0
Let z(a) = -11*a**2 + 12*a - 19. Suppose 62 = 17*p - 74. Let i(o) = -31*o**2 + 37*o - 54. Let s(k) = p*z(k) - 3*i(k). Determine y so that s(y) = 0.
1, 2
Let f = 27/472 + 563/472. Factor -5/2*x - f - 5/4*x**2.
-5*(x + 1)**2/4
Find v, given that -428*v**3 - 16/3*v**5 + 220/3*v**2 + 108 + 348*v - 96*v**4 = 0.
-9, -1/2, 1
Let k(h) = -h**2 + 6*h + 1. Let u be k(8). Let m = u - -18. Factor -1 + 1 - 6*j**2 + 5*j - 2*j + 3*j**m.
3*j*(j - 1)**2
Let m(u) be the second derivative of -u**7/840 + u**6/96 - u**5/40 - 39*u**2 - 9*u + 11. Let q(b) be the first derivative of m(b). Let q(o) = 0. What is o?
0, 2, 3
Let b(t) = 10*t + 26. Let k be b(-2). Let w(v) be the third derivative of 0*v**4 + 1/14*v**7 + 1/20*v**5 + 3/20*v**k + 0*v - 7*v**2 + 0*v**3 + 0. Factor w(c).
3*c**2*(c + 1)*(5*c + 1)
Let m(d) be the second derivative of -2*d**7/21 + 32*d**6/15 - 3*d**5 - 94*d + 3. Let m(x) = 0. Calculate x.
0, 1, 15
Let v(a) be the third derivative of a**7/42 - a**6/3 + 2*a**5/3 + 20*a**4/3 - 40*a**3 - 79*a**2 + 2. Factor v(j).
5*(j - 6)*(j - 2)**2*(j + 2)
Solve 82*s**3 + 2906*s + 2948*s + 76*s**2 - 6014*s + 2*s**4 = 0.
-40, -2, 0, 1
Let m(r) be the second derivative of -r**5/100 + r**3/10 - 34*r**2 + 102*r. Let l(s) be the first derivative of m(s). Find f, given that l(f) = 0.
-1, 1
Let m = 9 - 3. Let x(d) be the first derivative of -9/5*d**5 + 5/8*d**m - 1/2*d**3 + 0*d**2 + 8 + 0*d + 27/16*d**4. Determine c, given that x(c) = 0.
0, 2/5, 1
Suppose -15102*g + 84 = -15074*g. Let c(o) be the third derivative of 1/30*o**4 - 2/75*o**5 + 0 + 1/150*o**6 + 0*o + 0*o**g - 29*o**2. Factor c(f).
4*f*(f - 1)**2/5
Suppose 15*s - 30 = -4*v + 13*s, -4*v - 5*s + 63 = 0. Factor 9/4*q**3 + 15/4*q**v - 3 - 3*q.
3*(q - 1)*(q + 2)*(3*q + 2)/4
Let a(l) = l**2 - 14*l - 119. Let t be a(-6). Suppose -4*k - 2*g = -105 + 103, -5*k + t = g. Suppose x**3 + 1/2*x**2 + 1/2*x**4 + 0*x + k = 0. What is x?
-1, 0
Factor -272*d + 50/3*d**2 + 888 + 2/3*d**3.
2*(d - 6)**2*(d + 37)/3
Determine q so that 132*q**2 + 7*q**3 + 955 + q**5 - 144*q - 3*q**4 - 955 - 35*q**3 = 0.
-6, 0, 2, 3, 4
Let v be 15/(-45) - ((-42)/36 + (-1)/(-3)). Let m(p) be the second derivative of v*p**6 + 0*p**2 - 5/3*p**3 + 1/2*p**5 + 0 - 30*p - 5/4*p**4. Factor m(l).
5*l*(l - 1)*(l + 1)*(3*l + 2)
Suppose 24 = -4*i - 4*l, 5*i + 46 = -2*l + 43. What is p in -12/5 - 12/5*p**2 - 2/5*p**i - 22/5*p = 0?
-3, -2, -1
Let v(c) = 6*c**2 + 5002*c + 4958. Let w(b) = -31*b**2 - 25031*b - 24791. Let k(n) = 11*v(n) + 2*w(n). Factor k(q).
4*(q + 1)*(q + 1239)
Let y(p) be the second derivative of p**4/4 + 341*p**3 + 348843*p**2/2 + 2611*p. Suppose y(v) = 0. Calculate v.
-341
Let w(r) = r**2 + r - 5. Let t(a) = 3*a**3 - 17*a**2 + 26*a - 5. Let c(j) = -2*t(j) + 6*w(j). Let c(o) = 0. What is o?
-1/3, 2, 5
Let u = -315889 - -315894. Factor 4/13*y**u + 0*y - 2/13*y**3 - 2/13*y**4 + 0 + 0*y**2.
2*y**3*(y - 1)*(2*y + 1)/13
Suppose 35*s = 58*s - 345. Factor 4*m**2 - 15*m - 2*m**2 - 4*m**2 + 34*m - s*m.
-2*m*(m - 2)
Let c = 3/5587795 - -17506557547/7800561820. Let t = c + 2/349. Factor 3/2*h - 3/4*h**4 + 0 - 3/4*h**5 + t*h**3 + 15/4*h**2.
-3*h*(h - 2)*(h + 1)**3/4
Let v(t) be the third derivative of -1/5*t**5 + 0 + 2*t - 39*t**2 - 8/3*t**4 + 8*t**3. Factor v(n).
-4*(n + 6)*(3*n - 2)
Let z(k) be the first derivative of -k**6/288 - k**5/30 - k**4/32 + 79*k**3 + 15. Let d(b) be the third derivative of z(b). Factor d(c).
-(c + 3)*(5*c + 1)/4
Let p be (-186)/31 + (1 - -7). Let 48*z**3 + 76 + z**4 + 888*z**2 - 120*z**p - 76 + 4096*z = 0. Calculate z.
-16, 0
Let d(g) be the third derivative of 0 - 17/84*g**4 + 1/210*g**5 - 29*g**2 + 11/21*g**3 + 1/84*g**6 + 0*g. Let d(t) = 0. Calculate t.
-11/5, 1
Factor -18*r + r**5 - 30 - 20*r**2 + 187758*r**4 + 0*r**5 - 47*r - 187748*r**4 + 30*r**3 - 6*r**5.
-5*(r - 3)*(r - 2)*(r + 1)**3
Let n = 119213/7 + -17027. Factor n - 24/7*z**2 - 3/7*z + 3/7*z**3.
3*(z - 8)*(z - 1)*(z + 1)/7
Suppose -72 - 72 = -18*b. Let a = -5 + b. Factor 2*n**4 - n**4 + 0*n - 16*n**2 + 15*n**2 + 3*n - a*n**3.
n*(n - 3)*(n - 1)*(n + 1)
Let s = 315 - 126. Let m = 5436 - 5434. Determine g, given that 57 - s*g - 4*g**3 - 45*g**m + g**3 - 204 = 0.
-7, -1
Let m(y) be the first derivative of 32/5*y + 56/15*y**2 + 2/15*y**3 - 1/5*y**4 - 2/75*y**5 + 122. Determine g, given that m(g) = 0.
-4, -1, 3
Let l(j) be the first derivative of -3*j**5/5 - 93*j**4 - 4084*j**3 - 22320*j**2 - 43200*j - 4868. Solve l(s) = 0 for s.
-60, -2
Let d(r) = 15*r**2 + 6*r + 12. Suppose -3*x + 2*q = -q - 15, 5*q = 4*x - 24. Let s(g) = -15*g + 5*g - 1 + 9*g - g**2. Let w(l) = x*d(l) + 12*s(l). Factor w(o).
3*o*(o - 2)
Suppose 5*j - 20 = -z, z + 229 = j + 225. Suppose 4/5*p**3 - 16/5*p**2 + 0 + z*p = 0. Calculate p.
0, 4
Let u(j) = 2*j**2. Let q(g) = -10*g + g + g - 2 + 8 + 24*g**2. Let y(v) = 2*q(v) - 22*u(v). Factor y(x).
4*(x - 3)*(x - 1)
Suppose -6448/3*k**2 - 1088/3 + 2896/3*k**3 - 7/3*k**5 + 1808*k - 144*k**4 = 0. What is k?
-68, 2/7, 2
Let i(a) = 2*a**3 - 9*a**2 - 8*a + 15. Let q(z) = -z**3 + 4*z**2 + 4*z - 7. Suppose 0 = 3*v - c - 12, v - 4*c = 13 + 2. Let g(o) = v*i(o) + 7*q(o). Factor g(n).
-(n - 2)*(n - 1)*(n + 2)
Suppose 342/7*d**3 + 0 - 80/7*d**2 + 2*d**5 - 8*d - 220/7*d**4 = 0. What is d?
-2/7, 0, 1, 14
Let g(a) = -101*a**2 + 2*a + 2. Let f be g(-1). Let b = f + 102. Find m such that 0 - 14*m**2
|
{
"pile_set_name": "DM Mathematics"
}
|
se j - o = -w*j. Is j a multiple of 12?
True
Let a(z) = -z**3 + 16*z**2 + 17*z + 20. Is 7 a factor of a(15)?
False
Suppose 5*w + 3*u - 1085 = 159, 1003 = 4*w + 5*u. Does 14 divide w?
False
Let g(u) = 6*u - 1. Suppose -3*j = -0*j + 4*h - 19, 3*j - h = -1. Let v be g(j). Suppose -v*y + 270 = -0*y. Does 27 divide y?
True
Let w(t) be the third derivative of 1/120*t**6 + 0*t + 1/6*t**5 - 1/8*t**4 + 2*t**2 + 0 - 7/6*t**3. Does 23 divide w(-10)?
True
Let n(g) = 238*g - 60. Is 13 a factor of n(2)?
True
Suppose -13*s - 11*s = -12144. Does 11 divide s?
True
Let g be (-96)/(-9) + (-4)/6. Suppose -672 - 348 = -g*c. Does 34 divide c?
True
Suppose 0*x = -8*x + 32. Suppose c = 5, -2*h = -0*h - x*c + 2. Is 3 a factor of h?
True
Does 2 divide 2/4 - ((-796)/8 + 5)?
False
Suppose -2*x = -4*f - 644, -2*x + f = -3*x + 334. Is x a multiple of 22?
True
Let k = 118 + -58. Is 24 a factor of (15/k)/(2/872)?
False
Suppose 5 = -m + 2*g - 3*g, 0 = 4*g + 12. Let x = m + 33. Is 17 a factor of x?
False
Let j(v) = 18*v - 2. Let l be j(1). Let w(b) = -b**2 + 15*b + 24. Does 3 divide w(l)?
False
Let v(t) = -10*t**3 - 5*t**2 - 5*t - 4. Let l be v(-4). Suppose -6*d + l = -3*d. Suppose 10*z = 2*z + d. Is z a multiple of 6?
True
Let p(k) = -k**3 - 8*k**2 - 12*k - 3. Let c be p(-6). Let s(l) = -l**2 + 2*l. Let i(f) = f + 1. Let u(a) = -3*i(a) - s(a). Is u(c) a multiple of 7?
True
Let v(u) = -u**3 + 12*u**2 + 15*u + 9. Let r be v(13). Is 4 a factor of (-2)/5 - (-154)/r?
True
Let g be 289/2 - (-4 + -4)/(-16). Suppose -61*z = -67*z + g. Does 4 divide z?
True
Let t = 64 + -150. Is (-2 - -4)/(-2) - t a multiple of 17?
True
Does 65 divide (-880)/132*(1456/(-10) + -2)?
False
Suppose 8*a = 13*a - 35. Does 6 divide 1250/35 - (-2)/a?
True
Let o = 808 - 582. Does 3 divide o?
False
Let x be (-1)/(1*(-2)/8). Suppose 0 = -0*o - 4*o + 4*q + 208, 0 = o - x*q - 43. Is o a multiple of 11?
True
Let a(z) = -z**3 - z**2 - 3*z - 1. Let l be 6/(6*(-3)/(-24)). Suppose -5*h = l + 7. Does 13 divide a(h)?
True
Let h(b) = -b**3 - 3*b**2 + 4*b + 12. Let c(n) = n**3 - 6*n**2 + 7*n - 1. Let t be c(3). Does 15 divide h(t)?
True
Suppose -162 = 172*z - 199*z. Is 2 a factor of z?
True
Suppose 47*r - 53550 = 37*r. Does 33 divide r?
False
Let h(z) = z**2 - 19*z - 108. Does 6 divide h(25)?
True
Let y = -3 - 2. Let s(m) = -2599 + 2*m**2 + 1298 - m**2 + 1305. Does 16 divide s(y)?
False
Let b(m) = m**3 + 5*m**2 - 3*m - 6. Suppose 2*t = 6, 5*w + 4 = -4*t + 2*t. Let c be (w/5)/(7/70). Does 9 divide b(c)?
False
Suppose 0*i = 3*i - 4*j - 1425, -3*j + 475 = i. Let y = i - 210. Suppose -5*h = -0*h - y. Is h a multiple of 22?
False
Let m(n) = -13*n + 1. Let i be m(-2). Let y = i - 12. Is y even?
False
Let c(h) = 1 - 5*h + 7*h + 1 + 1. Let w(n) = -2*n - 4. Let z(a) = -6*c(a) - 5*w(a). Is z(-2) even?
True
Suppose -5*b = 3*b - 128. Let a = 33 - b. Is a a multiple of 3?
False
Let y be 3/(-18) - (-2521)/6. Suppose -2*o + y + 180 = 0. Suppose -o = 2*r - 6*r. Does 15 divide r?
True
Suppose -1520 = 17*f - 4223. Is f a multiple of 30?
False
Let i = -16 + 29. Let j(q) = -q**3 + 11*q**2 + 31*q - 7. Does 8 divide j(i)?
False
Let w be -24 - (-3 + 2 - -1). Let z = -12 - w. Suppose 5*i = 4*y - z - 63, 3*y = 5*i + 50. Does 17 divide y?
False
Let t = 461 + -276. Is 2 a factor of t?
False
Let o(n) = n - 1. Let k(d) = -73*d**2 + 2*d - 10. Let q(b) = -k(b) + 6*o(b). Is 14 a factor of q(-1)?
False
Suppose 12*z - 5893 = -1465. Is 57 a factor of z?
False
Suppose 0 = -3*b + f + 10, -2*b - 4*f + 2 = -0*f. Does 4 divide b/9 + (-235)/(-15)?
True
Suppose 0 = -7*y + 2*y + 280. Is y a multiple of 7?
True
Let n = 99 + 15. Does 23 divide n?
False
Suppose 3*v - 11 = 2*f - 2, -9 = -4*f - 3*v. Let a be 3 - ((-3)/3 + f). Suppose -a*i = -3*r + 8*r - 51, -5*r = i + 6. Is 15 a factor of i?
False
Suppose 2*d + 4*f - 2424 = 0, -4 = -3*f - 16. Is d a multiple of 10?
True
Let g = 2981 + -461. Is 36 a factor of g?
True
Let s = -13 + 60. Suppose 3*w - 502 = 4*h, -2*h - 609 - s = -4*w. Is w a multiple of 17?
False
Suppose 48 = 9*s - 3*s. Does 4 divide s?
True
Does 9 divide (-78 - 3)*-7 - 0/(-3)?
True
Let m = -6990 + 11385. Is m a multiple of 15?
True
Let n = 298 + 292. Is n a multiple of 14?
False
Suppose 8 = -2*j + 6*j. Suppose 2*t - 5*u + j = -12, 4*t = -2*u + 20. Is 40/t + 14/21 a multiple of 14?
True
Suppose 0 = 6*x - 10*x + 48. Suppose x*v = 15*v - 114. Is 38 a factor of v?
True
Is 20 a factor of (-65)/10*1312/(-8)?
False
Let g be 4/(-16)*0*1. Suppose 5*h - 156 - 179 = g. Is h a multiple of 17?
False
Let a(k) be the third derivative of -k**5/12 + 7*k**4/12 + 5*k**3/6 + k**2. Let b(w) = -w - 1. Let h(n) = -a(n) - 5*b(n). Does 10 divide h(5)?
True
Let h(a) be the second derivative of a**5/20 + 5*a**4/3 - 23*a**3/6 - 9*a**2 - a. Does 9 divide h(-21)?
False
Let p(a) = 6*a**2 - a. Let g be p(1). Suppose -h + 16 = -g*h. Is (h/1)/(1/(-10)) a multiple of 8?
True
Suppose -39 = 3*j - 324. Suppose -5*z - 4*s - 156 - 135 = 0, -296 = 5*z - s. Let h = j + z. Does 18 divide h?
True
Suppose -2*h = 2*y - 64 - 50, 2*h - y = 111. Is h a multiple of 28?
True
Suppose 0 = -4*r - 2*y - 6, 0 = -r + 3*y + 2*y + 15. Suppose f - 6*f + 240 = r. Let v = f - 28. Is v a multiple of 5?
True
Let f(g) = -2*g + 4 - 16 - 24 - 3*g. Let j be f(-18). Suppose -154 = -4*l - j. Is l a multiple of 9?
False
Let m be 4 - (2 + -2 + -2). Let f(j) = j**2 - 6*j + 1. Let y be f(6). Let c = m - y. Is 3 a factor of c?
False
Let u(l) = -32*l + 18. Let o = 85 + -90. Is u(o) a multiple of 17?
False
Let q = 494 - 270. Does 7 divide q?
True
Suppose 15429 = 4*a + 3*y, 5*a - 19280 = -7*y + 2*y. Does 7 divide a?
False
Let f(k) be the first derivative of -7*k**2/2 + 11*k - 34. Is 8 a factor of f(-6)?
False
Let w be 15/(-3)*(-1 - 22). Suppose -g = 5*o - w, -3*o + 5*g = -7*o + 113. Let b = o + -2. Does 5 divide b?
True
Suppose 6 - 26 = -5*x. Suppose -x*t + 4*c + 0*c - 440 = 0, -4*t + 5*c = 442. Let l = t - -155. Is l a multiple of 8?
False
Is (-18 + 3)/(-5) - (0 - 160) a multiple of 13?
False
Suppose 5*z - 3*z + 15 = -3*x, 2*z + x + 9 = 0. Let h be 10 - (2 + z + 3). Is (5*-1)/(h/(-16)) a multiple of 3?
False
Let h(a) = 19*a - 91. Is h(29) a multiple of 48?
False
Let v(w) = -15*w + 168. Is v(-15) even?
False
Let y(t) be the second derivative of 67*t**7/2520 + t**6/360 + t**5/120 + 7*t**4/12 + 4*t. Let m(c) be the third derivative of y(c). Is 22 a factor of m(-1)?
True
Let u = 17 + -2. Is (1 - u)*(-14)/4 a multiple of 15?
False
Does 10 divide 925 - (-2)/8*(-25 + 21)?
False
Let k(t) be the third derivative of -1/3*t**3 - 1/24*t**4 + 0 + 1/30*t**5 + 0*t + 1/120*t**6 - 5*t**2. Is 20 a factor of k(3)?
True
Let i(j) = -51*j**3 + 2*j + 1. Let w be i(-1). Suppose 2*m = -2*a + w, 0*m + a = m - 23. Is 24 a factor of m?
True
Suppose 0 = -q + 5*l - 0 - 11, 2*q - 5*l = -22. Does 27 divide (q - -5)*27*-2?
True
Suppose 5*t = 2*d - 56, 3*d - 3*t = -44 + 119. Let x(i) = -i**3 + 23*i**2 - 2*i + 56. Is 5 a factor of x(d)?
True
Suppose 2 + 2 = 2*q. Let f(h) = h + 1. Let l be f(17). Suppose l = q*p - 2. Is 4 a factor of p?
False
Suppose 4*l = -1 - 7, 0 = 3*v - 4*l - 53. Suppose 0*j = -3*j + v. Let g(u) = u**3 - 3*u**2 - 6*u - 6. Is 4 a factor of g(j)?
False
Suppose 0 = q - 4*w - 19 - 9, 4*q + w = 61. Suppose -q*z + 12*z + 36 = 0. Is z/(-18)*-2*18 a multiple of 9?
True
Let u = -46 + 11. Let x = -32 - u. Suppose -x*g + 2*g = -34. Is 7 a factor of g?
False
Suppose 176 = -71*u + 75*u. Does 14 divide u?
False
Let c be (-1 - 3/3) + -61. Let f = -18 - c. Is f a multiple of 9?
True
Let v(i) = 7*i - 51. Let f be v(8). Is 105 + (-8)/20 + 2/f a multiple of 35?
True
Let v(l) = l**2 - 7*l + 8. Let d be v(6). Suppose -3*q - d*y - 3 = -7, 4*y + 4 = 0. Suppose o = -4*k + 60, q*k = 3*k + 5*o - 15. Is 12 a factor of k?
False
Suppose 2*v = v - 2. Let m be -2 - (v - 3)*1. Is 2 - ((-24)/m + 3) a multiple of 3?
False
Let v(z) = -11*z + 33. Is 6 a factor of v(-23)?
False
Suppose 0 = 2*w + 2*w + 1548. Let m = 559 + w. Does 21 divide m?
False
Let b = 101 + -105. Does 14 divide 1050/60 - 2/b?
False
Suppose u = -5*b - 9, b + 58 = -4*u - 54. Let v = u + 203. Does 18 divide v?
False
Let a(y) = -y**3 - 12*y**2 - 6*y - 2. Suppose -77 = z + 6*z. Let v be a(z). Let s = v - -109. Does 13 divide s?
True
Suppose 26*s - 29*s = -9. Suppose -3 - 63 = -s*b. Is 16 a factor of b?
False
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
z + n*z**2 + y = 0 for z.
7
Let q(o) be the second derivative of -o**7/273 + 11*o**6/195 - 21*o**5/65 + 34*o**4/39 - 40*o**3/39 - 316*o. Find i, given that q(i) = 0.
0, 2, 5
Let d(z) be the second derivative of -1/231*z**7 + 3/11*z**4 - 4/165*z**6 + 0*z**2 + 3/110*z**5 + 0 + 0*z**3 + 47*z. Factor d(n).
-2*n**2*(n - 2)*(n + 3)**2/11
Let t(x) be the first derivative of 1/3*x**4 + 41 + 170*x**2 - 44/3*x**3 + 1156/3*x. Factor t(y).
4*(y - 17)**2*(y + 1)/3
Let b(v) be the third derivative of -v**8/1344 - 3*v**7/140 - 31*v**6/480 + 3*v**5/40 + v**4/3 + 2*v**2 + 75*v. Solve b(w) = 0 for w.
-16, -2, -1, 0, 1
Suppose 815*j = 809*j. Let s(p) be the third derivative of -23*p**2 - 1/90*p**5 + 0 + 1/9*p**4 + j*p**3 + 0*p. Determine w, given that s(w) = 0.
0, 4
Let u be -2*(9 - (-70)/(-7)). Factor -2*a**u + 24084 + 4*a**2 - 11284 - 320*a.
2*(a - 80)**2
Let x(r) be the third derivative of r**5/480 + 27*r**4/16 + 161*r**3/12 - 2070*r**2 - 2. Determine i so that x(i) = 0.
-322, -2
Let c(f) = -5*f**2 - 125*f - 40. Let q(v) = -v + 2. Let j(g) = -c(g) - 20*q(g). Let j(p) = 0. What is p?
-29, 0
Let l(t) be the first derivative of 5*t**6/3 + 1756*t**5/35 + 3153*t**4/14 + 6308*t**3/21 + 76*t**2/7 - 48*t - 795. Find n, given that l(n) = 0.
-21, -2, -2/7, 1/5
Let y(t) be the second derivative of -5/12*t**4 - 17*t - 2 + 55/2*t**2 - 25/3*t**3. Suppose y(z) = 0. Calculate z.
-11, 1
Let s(j) = 2*j**3 - 32*j**2 + 285*j - 264. Let o(x) = 3*x**3 - 31*x**2 + 284*x - 268. Let y(w) = -3*o(w) + 4*s(w). Factor y(q).
-(q - 6)*(q - 1)*(q + 42)
Let v be (-3614)/13*9 - -12. Let a = v - -2494. Find h, given that 7/5 - 34/5*h**2 + 3/5*h**a + 16/5*h**3 + 8/5*h = 0.
-7, -1/3, 1
Let h = 103178 - 103176. Let 32/7*q**4 + 48/7*q**3 - 12/7*q + 2/7 + 2/7*q**h = 0. What is q?
-1, 1/4
Let s(z) = 4 + 6*z + 2 + 7*z**2 - 9*z**2 + 4*z**2. Let o be s(-2). Let -q**3 - 12*q**5 - 9*q**5 - 3*q**4 + 20*q**5 + 3*q**o + 2*q = 0. Calculate q.
-2, -1, 0, 1
Let h(w) be the first derivative of -91*w**3/15 - 44*w**2/5 + 3*w/5 - 9825. Factor h(t).
-(t + 1)*(91*t - 3)/5
Let 5117*q**2 - 3702*q**2 + 120319 - 20914 + 100815*q + 5*q**3 = 0. Calculate q.
-141, -1
Let b(n) be the second derivative of -2*n**7/315 + 2*n**5/45 - 2*n**3/9 - 31*n**2/2 + 15*n - 1. Let z(x) be the first derivative of b(x). What is v in z(v) = 0?
-1, 1
Let a = 667/30 + -137/6. Let q = -13/30 - a. Factor 1/3*r + 0 - q*r**2.
-r*(r - 2)/6
Let r be 3/(-21)*(-28 + 28). Let q(h) be the third derivative of 0*h**6 + 16*h**2 + 0*h + 0*h**4 - 1/45*h**5 + 1/315*h**7 + r + 1/9*h**3. Solve q(o) = 0.
-1, 1
Let l be ((-157486)/(-28926))/((-14)/(-12)). Factor -4/3*v**3 + 0 + 0*v + 0*v**2 + l*v**4 - 10/3*v**5.
-2*v**3*(v - 1)*(5*v - 2)/3
Let h(w) = 2*w**2 - w - 1. Let f(y) = -7*y**2 - y - 2. Suppose 33 = -14*n + 19. Let x(j) = n*f(j) - 4*h(j). Factor x(k).
-(k - 6)*(k + 1)
Suppose 6*v + 145 = 175. Factor -19*g - 38*g + 12*g + 21 + 49 + v*g**2.
5*(g - 7)*(g - 2)
Let q = -231305 + 925223/4. Factor -q*b**3 + 27/4*b + 21/2 - 9/2*b**2.
-3*(b - 2)*(b + 1)*(b + 7)/4
Let w(a) be the third derivative of a**8/80640 + a**7/20160 + 13*a**5/30 + 2*a**2 + 64. Let r(b) be the third derivative of w(b). Factor r(d).
d*(d + 1)/4
Let t(p) = -16*p**2 - 11*p. Let g(v) = 15*v**2 + 12*v. Let x(l) = -23*l - 17*l + 43*l - 12. Let m be x(6). Let s(y) = m*t(y) + 5*g(y). Factor s(z).
-3*z*(7*z + 2)
Let l = 70 + -67. Let g be (-2)/9 + 418/99. Factor -l + n**5 + n - 946*n**2 + 6*n**3 + 3 + g*n**4 + 950*n**2.
n*(n + 1)**4
Suppose 2763*l = 3234*l - 942. Factor 0 - 4*r - 2/3*r**4 + 4/3*r**3 + 10/3*r**l.
-2*r*(r - 3)*(r - 1)*(r + 2)/3
Suppose -9*g + 16 + 2 = 0. Factor -1 + 3 + 3*r - 7*r**2 + 1 + 3*r**4 - 6*r**3 + 3*r**5 + r**g.
3*(r - 1)**2*(r + 1)**3
Let l(v) = -6*v**2 - 68*v + 41. Let d(k) = -21*k + 18. Let r(a) = a**2 - 41*a + 38. Let c(s) = -5*d(s) + 2*r(s). Let w(g) = 11*c(g) + 4*l(g). Factor w(b).
-(b + 10)*(2*b - 1)
Let d be (36/15)/(26 + 196/(-14)). Determine j, given that -d*j**2 + 4/5 + 0*j = 0.
-2, 2
Solve 4/5*t**2 + 1008/5 - 132/5*t = 0.
12, 21
Let x(u) be the third derivative of -u**7/42 - 49*u**6/24 - 176*u**5/3 - 3025*u**4/6 - 365*u**2 - 3. Factor x(y).
-5*y*(y + 5)*(y + 22)**2
Let v(k) = -k**4 + 3*k**3 - k**2 - k - 1. Let b(d) = d**4 + 75*d**3 - 234*d**2 + 158*d + 2. Let p(o) = -5*b(o) - 10*v(o). Solve p(f) = 0.
0, 1, 2, 78
Let m be (-441)/(-476) + 402/1608. Find t, given that -22/17 - m*t + 2/17*t**2 = 0.
-1, 11
Let i be (12 - ((-464)/(-36) - 3)) + 3/(-3). Let l(m) = -m + 1. Let c be l(-1). Find a, given that i*a + 2/9*a**3 + 4/9 + 8/9*a**c = 0.
-2, -1
Let y = -108 - -114. Suppose 15*g**3 - 6*g**4 - 2*g**5 + y*g**2 - 18*g**5 + 8*g**5 - 3*g**5 = 0. Calculate g.
-1, -2/5, 0, 1
Let i(k) be the second derivative of k**8/26880 + k**7/10080 - k**6/720 - k**5/120 - 19*k**4/2 + 2*k + 7. Let c(h) be the third derivative of i(h). Factor c(a).
(a - 2)*(a + 1)*(a + 2)/4
Let u(v) be the first derivative of v**3/5 + 705*v**2 + 828375*v - 1758. Factor u(d).
3*(d + 1175)**2/5
Find y, given that y**2 + 0 + 271/2*y = 0.
-271/2, 0
Let n(k) be the first derivative of 14*k**3/9 - 10*k**2/3 - 48*k + 3049. Let n(x) = 0. What is x?
-18/7, 4
Suppose 0 = 3*y - 15, -2*n = 3*y - 36 + 13. Let f(c) be the third derivative of 1/2*c**3 - 5*c**2 + 1/40*c**5 - 3/16*c**n + 0 + 0*c. Solve f(p) = 0.
1, 2
Suppose -85*p = -28*p - 684. Factor -p*x**3 + 6*x + 28*x + 10*x - 30 - 2*x**4.
-2*(x - 1)**2*(x + 3)*(x + 5)
Let f(w) be the second derivative of w**7/14 - w**6/30 - 3*w**5/4 + 5*w**4/12 + 2*w**3 - 2*w**2 + 104*w + 1. Let f(a) = 0. Calculate a.
-2, -1, 1/3, 1, 2
Suppose -3/2*b**4 + 1863/2*b - 2343/2*b**2 + 165/2*b**3 + 2187 = 0. Calculate b.
-1, 2, 27
Suppose -n + 4*c = c - 39, 3*n + 3*c - 69 = 0. Suppose 4*q + 10 = 4*m - 18, n = m - 5*q. Factor 8*p**2 - 5*p - 1102 + m*p**2 + 1072.
5*(p - 2)*(2*p + 3)
Let w = 4147 + -2401. Let u = 1748 - w. Factor 32/3*g + 2/3*g**u + 128/3.
2*(g + 8)**2/3
Let k(a) = 6*a**3 - a**2 - a. Let y be k(2). Let c = -39 + y. Factor 20*j**3 - 17*j**3 - 20 - 12*j**4 + 9 + 30*j**2 - 13 - 12*j + c*j**5.
3*(j - 2)**3*(j + 1)**2
Let h = 1509/262 + 1204971/3406. Let a = 360 - h. Let -2/13*x**2 - a + 8/13*x = 0. What is x?
1, 3
Let t be 105/(-140)*(-32)/(-30) - 82/(-65). Suppose 0 = -x, 4*d - 3*d - 4*x = 2. Factor t - 2/13*n**d - 4/13*n.
-2*(n - 1)*(n + 3)/13
Let d(t) = 2*t**2 - 28*t. Suppose x + 4*c = -x + 28, 7 = -2*x + 3*c. Let l(p) = -p**2 + 15*p. Let g(j) = x*d(j) + 7*l(j). Factor g(r).
r*(r - 7)
Let s be (-15 + 627/38)/(0 - (-3)/54). Let i(g) be the first derivative of -5/6*g**3 + 0*g + 1/8*g**4 + g**2 + s. Factor i(b).
b*(b - 4)*(b - 1)/2
What is c in 654165538/9 + 1378/3*c**2 + 2/9*c**3 + 949442/3*c = 0?
-689
Let r(t) be the first derivative of -2*t**5/55 - 16*t**4/11 - 350*t**3/33 + 1476*t**2/11 + 3240*t/11 - 79. Solve r(o) = 0 for o.
-18, -1, 5
Suppose -18*h + 5 = -17*h. Let l(v) = 138*v - 690. Let z be l(h). Factor z*u + 2/3 - 2/3*u**2.
-2*(u - 1)*(u + 1)/3
Let g be ((-20)/(-15))/((-4)/(-558)). Suppose -13*s - 30 = -g. Factor 14 - 6 - 5 - 8*o**2 - 7 + s*o.
-4*(o - 1)*(2*o - 1)
Let z(i) be the first derivative of i**3/3 + 1050*i**2 + 1102500*i + 7935. Factor z(j).
(j + 1050)**2
Let t be 30/(-231) - (-297)/1089. Factor -t*p + 2/7 - 1/7*p**2.
-(p - 1)*(p + 2)/7
Let s = -301/2 - -3319/22. Let c(h) = -8*h - 86. Let i be c(-11). Factor 6/11*u**i - 10/11 + s*u.
2*(u - 1)*(3*u + 5)/11
Let v(p) = 151*p**2 - 4*p - 69. Let t be v(-7). Find o such that -16*o - 4*o**3 - 54*o - 7310 + t + 6*o + 28*o**2 = 0.
2, 3
Let c(k) = -k**3 + 22*k**2 + 86*k - 77. Let y be c(26). Let l = -3811/7 - y. Factor 0*i - l*i**3 - 2/7*i**2 - 2/7*i**4 + 0.
-2*i**2*(i + 1)**2/7
Let q(o) be the first derivative of -5*o**6/18 + 137*o**5/6 + 585*o**4/8 + 1415*o**3/18 + 355*o**2/12 - 2407. Let q(s) = 0. What is s?
-1, -1/2, 0, 71
Let k(q) be the second derivative of -q**4/28 - 47*q**3/14 + 81*q**2 + 2*q - 2054. Determine n, given that k(n) = 0.
-54, 7
Let r(u) be the second derivative of u**4/42 - 2*u**3/7 + 8*u**2/7 - 262*u - 2. Factor r(f).
2*(f - 4)*(f - 2)/7
Let c be ((-2268)/(-1470))/(45/42). Let t(l) be the first derivative of 2 + 3/5*l - c*l**5 - 13/5*l**3 + 15/4*l**4 - 3/10*l**2. Solve t(q) = 0.
-1/4, 1/3, 1
Let t(i) = -22*i**2 + 3258*i + 3052. Let y(x) = 47*x**2 - 6549*x - 6102. Let r(u) = -13*t(u) - 6*y(u). Suppo
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{
"pile_set_name": "DM Mathematics"
}
|
as u*k**2 + r*k + i and give u.
-4672
Rearrange (-173*a**2 - 2775*a**3 - 136 + 2778*a**3 + 135)*(2 - 2 - 2*a) + a - a - a**4 to the form g*a**2 + d*a + c*a**4 + w + r*a**3 and give d.
2
Rearrange -989*n - 413*n - 566*n + 2 - 314*n to the form m*n + q and give q.
2
Rearrange 1 + 6*j**4 + 20*j**2 - 52*j**3 + 33*j**2 - 52*j**2 - 15*j**3 to the form u + w*j**4 + m*j + z*j**2 + s*j**3 and give u.
1
Express (704 - 704 + 355*j)*(5 - 6 + 5 + 5*j) in the form c + n*j + w*j**2 and give w.
1775
Express 0 + 192713206*h - 192731504*h + 0 as z*h + a and give z.
-18298
Rearrange (4*s - 11*s - 2*s)*(-s - 7*s - s + 7*s - 8*s - 5*s + (-1 + 4 - 2)*(0 - 2*s + 0) + 3*s - 2*s - 2*s) to the form o + n*s + g*s**2 and give g.
162
Rearrange 15*q**2 + 71 - 7*q**2 + 4*q**2 + 155*q - 156*q to the form v*q + j + o*q**2 and give v.
-1
Rearrange (-5 + 7 + 6 + (-2 + 3 + 1)*(-3 + 2 + 6))*(-m**2 - m**2 - 2*m**2) to w + z*m + l*m**2 and give l.
-72
Rearrange -4331*l - 2974*l + 1388*l to m + c*l and give c.
-5917
Rearrange 288*s + 2*s**2 - 416*s - 15*s**3 + 7*s**3 to the form w*s + y*s**2 + c + i*s**3 and give i.
-8
Rearrange (7 - 53 - 18)*(-2*h**2 - 1 + 1 + (-2 - h + 2)*(0*h - 3*h + 2*h) + 16*h**2 + 13*h**2 - 58*h**2) to c*h + n + v*h**2 and give v.
1920
Express (k + 3*k - 3*k)*(2*k + 0 + 0) - 77*k**2 + 27*k**2 + 34*k**2 + 123 - k - k - 120 - 92*k**2 in the form b*k + w*k**2 + c and give b.
-2
Rearrange (2*r - 2 + 2)*(279791*r - 279793*r + 9907*r**3 - 1913*r**3) to the form g + q*r**2 + i*r + y*r**3 + l*r**4 and give l.
15988
Express -n + 12*n**2 + 21483 - 21483 - 3*n**3 as t*n**2 + u + r*n + b*n**3 and give r.
-1
Express -32*w - 3 + 226*w + 29*w + 0 as u + z*w and give u.
-3
Express (2 + 4 - 3)*(-4 - f + 4 + f + 2 - 2 + (-2*f - 3*f + 3*f)*(0 + 3 - 1) + 0*f + 5*f + 7*f) - f + 0 + 0 in the form i*f + b and give i.
23
Express (-11 - 5 + 15 - 13*f)*(f**3 + 2 - 2)*(-367 + 167 + 172) as j + y*f**2 + c*f + q*f**4 + w*f**3 and give w.
28
Rearrange 367 + 370 - 19*p**2 - 1109 - 14*p + 374 to the form d + t*p + j*p**2 and give d.
2
Express p**2 + 5*p**2 - 5*p**2 + (-407*p - 405*p + 721*p)*(3 - p + 2 - 4) in the form r*p**2 + b + v*p and give v.
-91
Rearrange (1 - 1 - 2*o)*(o - 2*o + 3*o) + 28*o**2 - 190*o - 157*o + 343*o to v*o + w*o**2 + p and give v.
-4
Rearrange (-168*m + 727*m - 1273*m)*(-2 + 5 + 0) to the form g + t*m and give t.
-2142
Rearrange 507*g + 148*g + 478*g + 127*g + 439*g to the form h*g + l and give h.
1699
Express (1 - 4 - 4)*(291*w**4 - 320*w**4 + 316*w**4) in the form c*w**4 + d*w**3 + x*w**2 + g*w + j and give c.
-2009
Express -1 - 58*t**2 + t - 65*t**2 + 416*t**3 + 190*t**2 + 62*t**3 - 65*t**2 in the form k*t**3 + q*t + p + v*t**2 and give k.
478
Rearrange -3770*b + 4196387 - 4196387 to w + h*b and give h.
-3770
Express 526 - t**2 - t**2 + 9*t**3 - 4*t**4 - 524 in the form r*t**4 + x*t + i + j*t**2 + c*t**3 and give c.
9
Express 120 + 134 + 2*m - 248710*m**2 + 248706*m**2 as l*m + y + o*m**2 and give y.
254
Rearrange -19 - 3*m**3 - 2410*m + 2417*m - 4 + m**4 to the form j*m + c*m**4 + v*m**3 + i*m**2 + x and give v.
-3
Express (-87*y + 179*y - 90*y)*((2 + 1 + 3)*(-4*y + y + 5*y) + (3 - 3 - 4)*(4*y + 0*y - 5*y)) in the form w*y**2 + c*y + u and give w.
32
Rearrange (2 - 5 + 1)*((40320 - 40320 + 49*o)*(-2 + 4 + 0) - 4*o - o + o) - o + 8*o - o to h*o + f and give h.
-182
Rearrange (2 - 3 - 6)*(143*j**3 + 55*j**3 + 64*j**3) to a*j + m + d*j**3 + h*j**2 and give d.
-1834
Express ((11 - 1 + 4)*(6 - 3 - 4) + (-6 + 2 + 2)*(33 + 57 - 34))*(v**2 + 2*v**3 - v**2) as k + a*v**2 + p*v**3 + j*v and give p.
-252
Express 70*y**3 - 74*y**2 - 2300*y**3 + 100*y**2 + 2 - 26*y**2 as o*y**3 + v*y + h + z*y**2 and give o.
-2230
Rearrange -616 + 1069*a - 354*a - 2*a**2 - 353*a - 363*a to n*a**2 + w + t*a and give t.
-1
Express -106868 + 88*u**2 - 3*u - 4*u + 8*u**2 + 106868 in the form w*u + m + x*u**2 and give w.
-7
Rearrange -286 + 286 - 7802*g to i*g + j and give i.
-7802
Express 2*c + 452 + 2*c + 468 - c - 944 in the form f*c + h and give h.
-24
Rearrange -6*h + 4*h + 4*h + (-3*h + 7*h + 2*h)*(182 - 175 - 550) to r + q*h and give q.
-3256
Rearrange 13*n**3 + 11*n**4 + 102 - 10*n**4 - 120 - 5*n**2 + 5*n**2 to j*n**2 + m*n + u + p*n**3 + s*n**4 and give p.
13
Rearrange -3*s + 8*s + 14598 - 14592 - 6*s**3 + 3*s**3 + 27*s**2 to the form d*s**2 + t*s + r + a*s**3 and give t.
5
Rearrange (-v**2 + 3*v**2 - 5*v**2)*(-1635*v + 3572*v - 12378*v) to r*v**3 + k + q*v + u*v**2 and give r.
31323
Rearrange -2 + 4 + 4*w**3 - 5*w - 4*w**3 + 19*w**4 + w**3 + 16*w**2 - 17*w**2 to g + m*w**2 + d*w**3 + p*w + i*w**4 and give p.
-5
Rearrange 14608823 + 18*w + 49*w - 14608820 - 3*w**2 to m + c*w**2 + l*w and give c.
-3
Express 2595*u - 2809*u + 1307*u - 10278*u - 11603*u as l + x*u and give x.
-20788
Express (i**2 + 1 - 1)*(-2572 + 2240 + i + 12445 + 1529 + 12967) in the form f + b*i + z*i**3 + g*i**2 and give z.
1
Express (-3*g + g + g)*(-2292 + 4648 + 229*g - 2331) in the form f*g + t + m*g**2 and give f.
-25
Rearrange 3422041*b - 3720*b**2 - 3422041*b to h*b + g + w*b**2 and give w.
-3720
Express -x**2 + 619 + 146 - 673 + 457 as z*x**2 + u*x + v and give v.
549
Rearrange 1 - 70723*a - 172*a**2 + 2*a**3 + 13 - 8 + 70723*a to r*a + y*a**2 + c*a**3 + x and give x.
6
Express 8*c**4 - 94*c**4 + 2*c**4 - 1 - 90192*c + 90194*c - 10*c**2 as d*c**3 + p + g*c**2 + h*c + u*c**4 and give g.
-10
Rearrange -a**2 - a + a + (-563*a + 26414 - 26414)*(-6*a + 3 - 3) - 2*a**2 + 0*a**2 + 0*a**2 to the form q*a + x + j*a**2 and give j.
3375
Express (-632 - 178*g + 632)*(-8*g + 3*g - 6*g) + (-g + 4*g - 6*g)*(g + 0*g - 3*g) in the form c*g + y + z*g**2 and give z.
1964
Rearrange -35 - 29 + 97 - 12*s**4 - s**2 - 31 - 60*s + 0*s**2 to the form a*s**3 + m*s + i*s**2 + f + n*s**4 and give f.
2
Express 0 + 1 + 716*u + 3118*u + 298*u + 0 as l*u + y and give l.
4132
Rearrange 75 - 42*y**2 - 75 + (-9*y + 9*y + 4*y**2)*(3 + 0 + 2) to the form m*y**2 + c*y + z and give m.
-22
Express (-110 - 56 - 40)*(2*u + 2*u - 27*u) as q + w*u and give w.
4738
Express 2450*l - 189*l**2 - 5 - 2448*l + 16*l**3 - 15*l**3 as u*l**2 + m + j*l + p*l**3 and give m.
-5
Rearrange -379*p**2 + 392 - 2*p + 1637*p**2 - 392 + 5*p to b*p + y + t*p**2 and give t.
1258
Express (-7 + 0 + 4)*(2*p**3 + 0*p**3 - 5*p**3)*((-2 + 3 + 0)*(2*p - 1 + 1) + 3*p + 2*p + 5*p - 3*p - 4 + 4) as g*p + z*p**2 + m*p**4 + o*p**3 + s and give o.
0
Express -441335 + 441334 + 0*c + 0*c - 10*c**2 in the form m + u*c**2 + l*c and give m.
-1
Rearrange -16*x - 8*x + 31*x - 8*x - 90*x**2 + 7*x**3 - 83*x**2 to the form s*x**3 + g*x + a + o*x**2 and give g.
-1
Express 59*d**2 + 69*d**2 + 59*d**2 + 562 - 26 - 198*d**2 as t + o*d**2 + h*d and give o.
-11
Express 15*y**2 + 2*y + 8*y**4 + 7 - 16*y**4 + 13*y**2 - 9*y**2 + 9*y**4 in the form i*y + r*y**2 + l*y**3 + w + d*y**4 and give r.
19
Express -9*s + 18*s + 183 - 2*s - 5*s - 4*s as j*s + t and give t.
183
Express -78*a + 107 + 1361*a + 2155*a - 107 in the form i + t*a and give t.
3438
Express -3559*v - 2 + 16*v**3 + 2*v**2 + 3560*v - 3 + 10*v**2 in the form u*v**3 + j*v + b + c*v**2 and give c.
12
Express 7*k**4 + k**3 - 6*k**3 - 3*k**2 - k - 6*k**3 + 9*k**3 + 4*k**3 as q*k**2 + v*k**4 + c*k**3 + n*k + u and give v.
7
Express -23 + h**2 + 307 - 2*h + 98 + 548 + 10 as u + q*h**2 + z*h and give u.
940
Express 24 + 60*v + 2*v**2 - 78 - 2*v**2 + 37 - 4*v**2 as w*v**2 + q + c*v and give q.
-17
Express -1228*s + 3501*s + 2849*s as v*s + p and give v.
5122
Rearrange -853*k - 1 + 2 + 843*k - 12 + k**2 to r*k + j + n*k**2 and give j.
-11
Rearrange 69*x - 81 + 109 - x**4 - 23 to the form y*x**4 + n*x + d + z*x**3 + h*x**2 and give y.
-1
Express -4*d - d**2 - 7*d + 3*d + (3820 - 414*d - 3820)*(0*d + 2*d - 3*d) in the form o*d + n*d**2 + p and give n.
413
Express (4 + q - 4)*(519*q + 2 + 1024*q - 2 + 150*q) in the form a + s*q**2 + f*q and give s.
1693
Express -242*v**3 + 60*v**2 - 60*v**2 + (-27 + 27 + 6*v)*(-3*v**2 + 2 - 2) as k*v**3 + y*v + j + g*v**2 and give k.
-260
Express (1 - 1 + 3)*(346 - 1166 - 348)*(-r**3 + 2*r**2 - 2*r**2) in the form p*r**3 + u*r**2 + w*r + g and give p.
3504
Rearrange -31*s + 2*s**3 + 12*s + 21*s + 2 - 3 + 33*s**2 to i*s**3 + m*s**2 + c + b*s and give i.
2
Express -3*s**2 - 2*s**3 + 842144 - 842498 + 3*s**2 in the form c*s**3
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{
"pile_set_name": "DM Mathematics"
}
|
19*i**2. Determine g(m(y)).
76*y**2 + 1596*y + 8379
Let t(d) = 2*d**2. Let p(g) = -51*g + 3. Determine p(t(s)).
-102*s**2 + 3
Let i(k) = -k. Let w(q) = -q**2 + 6*q + 9. Let x be w(7). Let d(f) = 3*f + f**x - 3*f. What is d(i(t))?
t**2
Let w(a) = 7 - 7 - 2*a. Let t(d) = 6*d**2. Determine w(t(n)).
-12*n**2
Let l(y) = -65*y**2 - 3. Let i(n) = -2*n. Determine l(i(j)).
-260*j**2 - 3
Let z(g) = -g. Let p(v) = -23*v + 4. Calculate p(z(x)).
23*x + 4
Let f(j) = -2*j**2. Let i(v) = 183*v. Calculate i(f(r)).
-366*r**2
Let v be (-3)/(-9) + (-4)/3. Let q = 3 + v. Let j(d) = 6*d**q - 2*d**2 - 3*d**2. Let b(y) = 6*y**2. Give b(j(l)).
6*l**4
Let l(b) be the second derivative of -b**5/120 - b**3/3 + b. Let p(x) be the second derivative of l(x). Let c(m) = m**2. Calculate c(p(v)).
v**2
Let b(g) be the third derivative of -g**4/12 - 11*g**2. Let u(w) = -w - 2. Give b(u(a)).
2*a + 4
Let r(x) = -x**2 - 838. Let h(q) = 6*q. Calculate h(r(g)).
-6*g**2 - 5028
Let y(s) = s - 5. Let z be y(5). Let p = 0 + z. Let a(i) = 0*i + p*i + i. Let q(g) = g**2. Calculate q(a(u)).
u**2
Let n(x) be the third derivative of x**4/8 - 3*x**2. Let o(i) = i. Calculate o(n(g)).
3*g
Let g(r) = -74*r. Let a(j) = -452*j + 452*j + j**2 + 0*j**2. What is a(g(y))?
5476*y**2
Let g(c) = c**2. Let m(q) be the first derivative of -q**3/6 + 4*q - 1. Let x(n) be the first derivative of m(n). Give g(x(u)).
u**2
Let q(g) = -3*g**2. Let l(i) = -8*i + 6. Let r(m) = -m. Let b(f) = 7*f - 1. Let y(t) = b(t) + 6*r(t). Let c(u) = l(u) + 6*y(u). Determine q(c(k)).
-12*k**2
Let w(l) = 3*l**2. Let z(g) = -179*g**2. Calculate w(z(x)).
96123*x**4
Let u(f) = -14*f + 30*f - 18*f. Let d(c) = c + 5 - 4*c - 4*c. Let z(l) = 8*l - 6. Let m(b) = 6*d(b) + 5*z(b). Determine u(m(t)).
4*t
Let g(l) = -17*l - 122. Let r(k) = -2*k**2. Calculate r(g(w)).
-578*w**2 - 8296*w - 29768
Let f(s) = s**2 + 8*s. Let l(z) = -2*z. Give f(l(o)).
4*o**2 - 16*o
Let p(r) = -3*r**2. Let v(h) be the second derivative of 0*h**2 + 1/12*h**4 - 5*h + 0 + 0*h**3. What is v(p(j))?
9*j**4
Let z(p) = 5*p. Let s(r) be the first derivative of -r**3/3 + 7. Determine z(s(k)).
-5*k**2
Let b(n) = -10*n**2 - 9*n**2 - 2*n**2. Let m(r) = r**2. What is m(b(d))?
441*d**4
Let n(l) = -2*l**2. Let q(d) be the first derivative of d**5/40 - 2*d**3/3 - 3. Let y(k) be the third derivative of q(k). Determine y(n(b)).
-6*b**2
Let h(s) = 2*s. Suppose -3*r = -5*c - 33, -3*c = -4*r - 4*c + 21. Let k be ((-3)/r)/(2/(-16)). Let d(y) = -5 - k*y + 6*y + 5. Determine h(d(b)).
4*b
Let q(h) = h + 1. Let k(p) = 5*p - 3. Let w(v) = -6*v + 4. Let t(n) = -6*k(n) - 4*w(n). Let i(o) = 2*q(o) - t(o). Let z(f) = 2*f**2. Calculate i(z(r)).
16*r**2
Let n(w) = -5*w + 3 - 4*w**2 - 3 + 2*w. Let m(r) = 7*r**2 + 5*r. Let h(q) = -3*m(q) - 5*n(q). Let y(k) = -3*k**2 + 2*k**2 + 0*k**2. Determine y(h(g)).
-g**4
Let v(c) = 2*c**2. Let w(u) be the third derivative of u**5/30 - 9*u**2. Determine v(w(x)).
8*x**4
Let f(q) = 22*q - 12. Let y(m) = 9*m - 5. Let w(r) = 5*f(r) - 12*y(r). Let c(o) = -2*o**2 + 3*o**2 + o**2. Calculate w(c(a)).
4*a**2
Let l(o) be the first derivative of -2*o**3/3 - 1. Let g(y) be the first derivative of y**3 + 7*y - 7*y - 4. What is l(g(x))?
-18*x**4
Let x(j) = -2. Let l(t) = 38*t + 8. Let a(y) = -l(y) - 4*x(y). Let z(k) = -3*k. Give z(a(p)).
114*p
Let n(h) = h**2. Let s(a) = -3*a**2 - 463*a - 2. Calculate s(n(q)).
-3*q**4 - 463*q**2 - 2
Let u(l) = 131*l**2. Let z(k) = 9*k. Calculate u(z(b)).
10611*b**2
Let n(b) = 4*b**2 + 3*b**2 - b**2. Let c(y) = y**2. Suppose -43 = -5*w + 3*g, -w - 4*g + 23 = -g. Let x(p) = w*c(p) - 2*n(p). Let o(u) = u. What is x(o(j))?
-j**2
Let j(o) = -o. Suppose 5*p = 11 - 1. Suppose 1 = -3*v - 2*x, 3*v = -v - 2*x + p. Let d(i) = -3*i - 3 + v. Calculate j(d(w)).
3*w
Let q(z) = -11*z. Let t(c) = -43*c + 2. Calculate q(t(u)).
473*u - 22
Let j(f) be the first derivative of f**2/2 + 1. Let q(p) be the third derivative of p**4/12 + 2*p**2. Calculate j(q(y)).
2*y
Let d(s) be the first derivative of -s**6/360 - 2*s**3/3 - 4. Let u(x) be the third derivative of d(x). Let z(t) = -2*t. Calculate z(u(v)).
2*v**2
Let q(u) be the third derivative of -u**6/360 - u**3/2 - 3*u**2. Let f(b) be the first derivative of q(b). Let y(r) = -3*r. What is y(f(n))?
3*n**2
Suppose 3*w - 19 = -3*i - 1, 4*i + 5*w = 28. Let h(c) = -c**2 - 2. Let p(q) = 3*q**2 + 5. Let g(o) = i*p(o) + 5*h(o). Let k(x) = x**2. Calculate k(g(j)).
j**4
Let c(o) = -11*o. Let w(h) = -7*h. Let z(v) = -5*c(v) + 8*w(v). Let g(p) = 11*p**2. Determine g(z(m)).
11*m**2
Let p(c) = c**2 + 3*c. Let u(x) be the first derivative of x**3/3 + x**2 + 1. Let z = 8 - 6. Let l(i) = z*p(i) - 3*u(i). Let g(b) = -4*b**2. Determine g(l(h)).
-4*h**4
Let z(f) = 5*f**2 - 2*f - 1. Let k be z(-1). Suppose 3*g = -i - k, -2*i = -3*i - g + 2. Let q(y) = y - i*y + 3*y. Let x(h) = -h**2. Determine q(x(t)).
2*t**2
Let w(n) = n**2. Let f(h) be the first derivative of h**4/6 + 3*h - 3. Let s(g) be the first derivative of f(g). Calculate s(w(v)).
2*v**4
Let f(o) = 28*o**2 - 26*o - 26. Let r(v) = v**2 - v - 1. Let j(t) = 6*f(t) - 156*r(t). Let b(x) = 2*x. Give j(b(c)).
48*c**2
Let n(j) = -j**2. Let m(y) = -63*y**2 + 11*y. Determine m(n(x)).
-63*x**4 - 11*x**2
Let p(r) = 6*r - 8. Let v(t) = -t + 1. Let d(c) = -p(c) + 4*v(c). Let w(s) = -s + 1. Let k(l) = d(l) - 12*w(l). Let y(a) = -a**2. Give k(y(z)).
-2*z**2
Let k(b) = -829*b. Let q(r) = -r**2. Give q(k(m)).
-687241*m**2
Let n(s) = -s - 1. Let t(h) = -5*h - 6. Let j be 2/((-16)/(-12) + -1). Let a(g) = j*n(g) - t(g). Let f(z) = 2 - 2*z**2 - 2. Determine f(a(v)).
-2*v**2
Let x(k) = 2*k + 4*k - 5*k. Let t(n) = -2*n. Calculate x(t(q)).
-2*q
Let a(m) = 3*m. Let g(b) be the first derivative of -3 + 2*b - b**2 + 2*b**2 - 6*b. Let x(q) = 3*q - 5. Let i(t) = -5*g(t) + 4*x(t). What is i(a(p))?
6*p
Let c = 4 + 0. Let i(r) = -c*r + 2*r - 4 + 4. Let n(a) = a + 0 + 0. What is n(i(l))?
-2*l
Let i(y) be the second derivative of -y**3/3 + 3*y. Let b(h) be the first derivative of h**3/3 - 2. Calculate b(i(s)).
4*s**2
Let u(y) = 38*y. Let i(m) = -62*m**2. Determine u(i(b)).
-2356*b**2
Let c(s) = 9*s + 5*s + 6*s + 7*s. Let b(d) = -d**2. Calculate b(c(x)).
-729*x**2
Let m(k) = -k - 8*k + 11*k. Let u(g) = g**2. Determine u(m(b)).
4*b**2
Let v(u) = 3*u. Let j(l) be the third derivative of -l**5/60 - 11*l**2. What is v(j(n))?
-3*n**2
Let p(s) be the third derivative of 0*s**4 + 0 + 1/30*s**5 + 0*s**3 + 0*s + 5*s**2. Let k(g) = 1 + 2*g**2 - 1. Determine k(p(z)).
8*z**4
Let l(m) = m. Let k(y) = -2538*y**2 + 235*y. Let c(u) = -43*u**2 + 4*u. Let i(n) = 235*c(n) - 4*k(n). What is i(l(o))?
47*o**2
Let z(k) = -k - 7*k - k. Let g(c) = 0*c - 2*c - c + 5*c. Give z(g(r)).
-18*r
Let z(p) = -p. Let h(m) = -11*m + 3. Let c(n) = -319*n + 88. Let r(b) = 3*c(b) - 88*h(b). Calculate r(z(o)).
-11*o
Let s(y) be the second derivative of y**3/2 + y. Let j(h) be the first derivative of h**2 - 17. Give j(s(f)).
6*f
Let q(l) be the third derivative of -l**4/12 - 7*l**2. Let w(a) = 22*a. Determine w(q(o)).
-44*o
Let v(u) = -2*u. Let k(t) = -1471*t**2. Calculate v(k(d)).
2942*d**2
Suppose -19 = -5*k + 11. Let o(y) = -5*y**2. Let b(r) = -r**2. Let v be (-6)/21 - (-30)/(-42). Let f(m) = k*b(m) + v*o(m). Let d(j) = -2*j. Give f(d(s)).
-4*s**2
Let g(n) = n**2. Let k(u) = 10*u**2 - 590. Calculate k(g(t)).
10*t**4 - 590
Let b(w) = 3*w**2 - 5. Let y(q) = q**2 - 1. Let h(v) = b(v) - 5*y(v). Let t(z) be the second derivative of -z**3/3 - 51*z. Calculate t(h(x)).
4*x**2
Let d(l) be the third derivative of l**6/360 + 2*l**3/3 - 3*l**2. Let i(z) be the first derivative of d(z). Let f(v) = v. What is i(f(s))?
s**2
Let r(n) = 2*n. Let i = -12 + 14. Let b(u) be the first derivative of 0*u**2 + i + 2/3*u**3 + 0*u. Give b(r(x)).
8*x**2
Let h(b) = b**2. Let s(k) = 230*k. What is s(h(p))?
230*p**2
Let s(n) = 3*n**2. Let i be 18/12 - (-2)/4. Let c(j) = -6*j**2 + j**2 + 6*j**i. Calculate c(s(w)).
9*w**4
Let b(w) = 106*w**2. Let l(g) be the second derivative of -g**4/6 + 26*g. What is l(b(p))?
-22472*p**4
Let d(w) = 2*w. Let a(n) = -n**2 + n - 1. Let o(p) = -44*p**2 - 3*p + 3. Let h(u) = -3*a(u) - o(u). Determine d(h(m)).
94*m**2
Let f(p) be the third derivative of p**6/120 - p**3/3 - 2*p**2. Let c(m) be the first derivative of f(m). Let t(s) = s. Calculate t(
|
{
"pile_set_name": "DM Mathematics"
}
|
261 + -1269. What is p(w)?
-24
Let n(m) = 4*m - 20. Suppose 0 = -45*j + 47*j - 22. Determine n(j).
24
Let d(p) = -p**3 + 3*p**3 - 58 - 3*p**3 - 23*p - 366*p**2 + 345*p**2. Calculate d(-20).
2
Let r(j) = -4*j + 55. Let s be r(8). Suppose 16*y - s*y + 7 = 0. Let c(i) = 4*i**3 - i. What is c(y)?
3
Let b = -11 + 8. Let s(c) = c**3 - 3*c**2 - 16*c + 51. Let h be s(4). Let a(o) = -2*o**2 + 2*o + 2*o + h*o**2 - 3*o. Determine a(b).
6
Let a(c) be the third derivative of -c**6/240 + c**4/3 + 146*c**2. Let f(v) be the second derivative of a(v). Calculate f(-2).
6
Let h(u) = -4*u + 16*u - 30 - 2*u - 123 - 6*u. Calculate h(38).
-1
Let x(a) = 43 + a**2 + 15 + 4*a - 19*a - 10. Calculate x(10).
-2
Let f(h) = -3410*h**2 + 1700*h**2 - 8*h - 13 + 1709*h**2. Determine f(-7).
-6
Let q(k) = k**2 + k - 16. Suppose -8 = -2*v + 4*v. Let s be v - (8*-1 - -2). Suppose -s*m + 7*m = 0. What is q(m)?
-16
Let m(z) = -6*z. Let f be m(1). Let h(j) = -j + 5*j + 2 + 2. Let o(n) = -3*n - 4. Let q(i) = -5*h(i) - 6*o(i). What is q(f)?
16
Let z(k) = k**3 - 23*k**2 + 2*k - 10. Let q(h) = -2*h**3 + 48*h**2 - 5*h + 20. Let t(y) = -2*q(y) - 5*z(y). Give t(19).
10
Let m(x) = -x**2 - 18*x - 61. Let u be m(-5). Suppose u*j - 2*i - 3*i = 19, -25 = -5*i. Let p(d) = 2*d**2 - 21*d - 8. Give p(j).
3
Let t(m) = -12*m + 92. Suppose -976 = -72*b + 37*b - 87*b. Determine t(b).
-4
Let v(s) be the second derivative of -s**6/360 + s**5/24 + s**4/8 + 29*s**3/6 + 2*s - 11. Let x(p) be the second derivative of v(p). Give x(5).
3
Suppose 25*y + 93 = 968. Let p(i) = 11*i + 14*i + 9*i + 2 - y*i. Suppose 4*n = 2*n + 5*r + 25, -3*n = -5*r - 25. Give p(n).
2
Let u(l) be the first derivative of -l**3/3 + 5*l**2 - 16*l + 40. Determine u(7).
5
Let a(b) = -10*b + 117. Let o be a(12). Let c be (20/60)/(1/o). Let s(r) be the second derivative of -r**3/3 + r**2/2 + 2*r. What is s(c)?
3
Let u(t) = -2*t**2 - 2*t - 2. Suppose -83*k = 2*h - 82*k - 6, 0 = 4*h - k + 6. Determine u(h).
-2
Suppose 4 = -2*o - 0*b - 2*b, b = -5*o - 10. Let a(m) be the third derivative of -m**2 + 0*m + 1/30*m**5 + 0 - 1/6*m**3 + 1/120*m**6 - 1/12*m**4. What is a(o)?
3
Let s(i) = -i**3 + 13*i**2 + 15*i - 2. Let n(q) = q**3 + 29*q**2 + 23*q - 126. Let y be n(-28). What is s(y)?
12
Let z(j) = 0*j - 73 - 48 - 34*j + 18*j - 52. Give z(-10).
-13
Let b = -1432 - -1435. Let g(a) = -2*a**3 + 7*a**2 + a - 6. Give g(b).
6
Let o(f) = -2*f**3 + 7*f**2 - f - 19. Let z be (-6564)/(-11487) - (178/(-56) - (-2)/(-8)). Give o(z).
-39
Let l = 87 - 79. Suppose 18*h - 10 = l*h. Let r(p) = -h + 0*p - 4 - 5*p + 1. Determine r(-5).
21
Let n(x) = -x**3 + 2*x**2 + 4*x - 5. Let j be (-1 - -1)/(7/((-7)/(-2))). Give n(j).
-5
Suppose 3*p = 8*p + 11*p. Suppose 3*d - i + 10 = p, d - 3*i + 17 - 3 = 0. Let s(q) = -q**2 - q + 1. Determine s(d).
-1
Let z be (-2330)/(-6524)*14/60. Let n(p) be the third derivative of -1/6*p**3 - 5/24*p**4 + 0 - 18*p**2 - z*p**5 + 0*p - 1/120*p**6. Give n(-4).
3
Let k(y) be the second derivative of 5*y**4/12 - 2*y**3/3 + y**2 - 17*y + 91. Suppose -4*l + 11 = 3. What is k(l)?
14
Let s(n) = n**3 - 3*n**2 - 3*n + 7. Let k be 26/7 - (-17)/((-595)/(-10)). Calculate s(k).
11
Let y(b) = -b**2 + 4*b + 55. Suppose -2*t = -3*q + 4, 10*q = 3*t + 5*q + 10. Calculate y(t).
-5
Let k(m) = 3*m**3 - 16*m**2 - 10*m - 67. Let q(c) = -14*c**3 + 63*c**2 + 35*c + 272. Let x(r) = -9*k(r) - 2*q(r). What is x(-17)?
8
Let a(i) = 10*i - 53*i**3 + 3 + 29*i**3 + 9*i**3 + 16*i**3 - 9*i**2. Give a(7).
-25
Let x(j) = 31*j + 30. Let u(i) be the second derivative of -7*i**3/3 - 15*i**2/2 - 3*i - 4. Let l(w) = -9*u(w) - 4*x(w). Determine l(-11).
-7
Let l(a) = -22*a - 251. Let q(y) = -42*y - 500. Let t(i) = -11*l(i) + 6*q(i). Let o be t(-23). Let p(u) = -u - 7. What is p(o)?
2
Let d(c) = -20*c + 15. Let j(g) = 26*g - 181. Let q be j(7). Determine d(q).
-5
Suppose 0 = 4*y - 7 - 1. Let t(f) = -y - 8*f**2 + 1 + 15*f**2 + 6*f**2. Suppose -217*u - 632 + 415 = 0. Give t(u).
12
Let i(h) = -h + 5. Let s be i(5). Let c(t) = -t**3 - t**2 - 2*t + 19. Let x be c(s). Suppose 0 = 14*r - x*r - 65. Let n(o) = o + 11. Calculate n(r).
-2
Let u(z) = 13 - 150 + 22*z + 395 - 10. Give u(-11).
6
Let d(n) be the first derivative of -7*n**3/3 - 64. Suppose -2 = -18*g - 20. What is d(g)?
-7
Let n(i) = -3*i**3 + 23*i**2 + 27*i - 31. Let g(v) = -2*v**3 + 12*v**2 + 14*v - 15. Let k(u) = -5*g(u) + 3*n(u). Give k(-7).
3
Suppose -4*a + 30 + 150 = 0. Suppose -5*p + a + 0 = 0. Let o(s) = -s**2 - 5*s + 109*s - 94*s. Give o(p).
9
Suppose 0 = -35*u + 13*u - 88. Let b(a) = -3*a**3 - 97*a**2 - 23*a - 32. Let p(q) = q**3 + 34*q**2 + 8*q + 11. Let t(f) = 6*b(f) + 17*p(f). Give t(u).
3
Let k(q) = -270*q + 530*q - 265*q + 27. What is k(19)?
-68
Suppose t = -3, -109 = 3*u - 5*u + t. Let p = u + -56. Let m(s) = -2*s - 1. Determine m(p).
5
Let d be (1 - 55/33)/(2/(-3)). Let x(w) = 61*w**3 + w**2 - 4*w + 2. What is x(d)?
60
Let a(g) be the first derivative of 11*g**4/4 + g**2/2 + g - 704. Give a(-1).
-11
Let u(i) = 119*i**3 - 45*i**2 - 104*i - 332. Let q(f) = -23*f**3 + 9*f**2 + 21*f + 67. Let c(g) = -31*q(g) - 6*u(g). Determine c(-7).
6
Let m(c) = 4*c + 203. Let h(y) = -y + 34. Let p(s) = -6*h(s) + m(s). Give p(-2).
-21
Let v(n) = n + 19. Suppose -2*l - 134 = 4*x, 12*x + 65 = 11*x - 5*l. Determine v(x).
-11
Let c(n) = 13*n**2 + 7*n - 6*n**2 + 2 + 9*n**2 - 15*n**2 + 0. Suppose 7*j + 10 = 2*j. Let a be j/6 + 20/(-3). Determine c(a).
2
Let m = -108 - -103. Let u(p) = p**3 + 14*p**2 + 8. Let r(c) = -c**3 - 17*c**2 + c - 9. Let q(v) = -3*r(v) - 4*u(v). Calculate q(m).
10
Let d = -3766 - -3770. Let k(o) be the third derivative of 0*o + 1/24*o**d - 2*o**2 + 0 + 1/2*o**3. What is k(-5)?
-2
Let u(a) = -a**3 + 6*a**2 - 9*a + 59. Suppose -5*i - 15 = 0, 36 = 5*z - 0*z - 2*i. What is u(z)?
5
Let p(k) be the third derivative of k**6/120 - k**5/12 + k**4/24 + k**3/2 + 12*k**2. Let y be (99/36)/11*12. Give p(y).
-12
Let j(x) = -x. Let f(m) = 8*m + 2. Let p(h) = f(h) + 6*j(h). Suppose 3*q + 1 = 7. Suppose o - 2*o - q = 0. Calculate p(o).
-2
Let k(c) = -c**2 - 9*c - 18. Suppose 103*a = 6 + 5 - 11. Calculate k(a).
-18
Let x(g) = -2*g**2 + 96*g - 79. Let v be x(47). Let u(r) = r**3 - 16*r**2 + 18*r + 4. Give u(v).
49
Let s = -28 + 30. Let o(b) = -s*b**2 - b**2 - 3 + 2*b + 1 + 0. Let n(y) = y**3 - 21*y**2 + 22*y - 37. Let g be n(20). Determine o(g).
-23
Let q(x) be the first derivative of -x**2/2 - 2*x - 1. Let s(i) = 34*i**3 + i**2 + i. Let t be s(-2). Let f = 265 + t. What is q(f)?
3
Let h(v) be the second derivative of v**3/2 - 5*v**2/2 - 959*v. What is h(19)?
52
Let b(i) = -i + 1. Let t(a) = -a**2 - 4*a + 4. Let w(y) = 2*b(y) - t(y). Let o be (-116)/30 - (-6)/(-45). Determine w(o).
6
Let a be 186/7 + (-51)/(-119). Suppose -a*d = -35*d + 8. Let v(q) = 2*q. Let u(j) = -j. Let l(f) = 2*u(f) + 3*v(f). Give l(d).
4
Suppose 0 = 4*t - 19 - 13. Let u(f) = -55*f**3 + 13*f**2 + 13*f - 3. Let j(k) = 46*k**3 - 12*k**2 - 12*k + 2. Let y(i) = -6*j(i) - 5*u(i). Calculate y(t).
-5
Suppose 5*a - 4*h - 190 = 90, -3*a = -5*h - 181. Suppose 4*i + 44 - a = 0. Let s(y) = 3 - y - 5 + 3*y + 3*y**3 - 4*y**3 - 7*y**i. Calculate s(-7).
-16
Let d(n) = n + 5. Let c be d(-4). Suppose 0*q - q - 17 = 5*w, 0 = -2*q + w + 10. Let u(m) = 57*m**3 + 70*m**q + 3*m**2 - 110*m**3 - m - m**2. What is u(c)?
18
Let r(c) be the third derivative of 11*c**5/60 - c**4/8 + 2*c**3 - 7*c**2 + 3*c. Let q(k) = 9*k**2 - 3*k + 10. Let y(t) = -6*q(t) + 5*r(t). Determine y(-3).
0
Let t(n) = n**2 + 2*n. Let f be t(-5). Suppose b = 6*b + f. Let o(g) = 6 - 12 + 4*g**2 + g**3 + 5*g + 6 + 4. What is o(b)?
-2
Let n(r) = -3*r. Let m(c) be the first derivative of c**3/3 - 3*c**2 + 9*c + 242. Let a(i) = -m(i) - n(i). Determine a(7).
5
Let s(u) = -4*u**2. Let i be -5*(4 + (5 - 6/3)). Let z = -24 - i. Suppose z*q = 10*q + 1. Give s(q).
-4
Let l = -397 - -399. Let z(n) = 56*n - 15*n - 11*n + l - 17*n - 10*n. Let j(y) = y + 1. Let r be j(-6). Calculate z(r).
-13
Let w(o) = o**3 + 14*o**2 + 14*o - 6. Suppose 19*s - 20*s + 2*v - 7 = 0, -s - 10 = -v. Give w(s).
-19
Let m(c) = 6*c**2 - 10*c - 4. Let y be 4/8*10 + -10. Let q(f) = -5*f**2 + 8*f + 3. Let s(x) = y*q(x) - 4*m(x). Determine s(-1).
2
Suppose 16*l - 4 = 17*l. Let g be (-3 - (l + 1))*9/9. Let c(r) = 3 - 1 + 4 - r. Give c(g).
6
Suppose -q + h - 6 = 4, 0 =
|
{
"pile_set_name": "DM Mathematics"
}
|
+ d. Is s(g) composite?
False
Let i(f) = -7*f**3 - 3*f**2 - 2. Let x be i(-3). Suppose 4*s + b = 154, s - 4*b = 5*s - x. Is s a prime number?
False
Let q(y) = -y**3 - 3*y**2 - 4*y - 2. Let o be (-6 - -4)*7/2. Let w = 4 + o. Is q(w) prime?
False
Let w = 14 - 14. Suppose 0*u + 5*u - 385 = w. Is u composite?
True
Suppose -3*u = -7*u - b - 12, 0 = -3*u + 3*b - 9. Let j(t) = 10*t**2 - 2*t - 5. Is j(u) a composite number?
True
Let o(l) = 2*l**2 + 4*l - 5. Let x be o(-4). Suppose 4*z = 13 + x. Is 1 + z/(-2) + 13 a composite number?
False
Let g = -1 - -3. Let j be -6*(-1)/g*-1. Is (1 + j)/((-4)/190) composite?
True
Let t(d) = 6*d**2 + d - 2. Let h be t(-5). Let y = h + 0. Is y composite?
True
Let p = -6 + 18. Suppose -4*t = -64 - p. Is t a prime number?
True
Let y = 3 - 17. Let p be -3*(-3 - y/6). Suppose -5*w - 2*g - p*g = -449, 0 = w - 3*g - 105. Is w composite?
True
Let q = 10 - 5. Suppose 0 = q*h + 5*b + 10, 3*h - h - 21 = 3*b. Suppose -h*l + 14 = -28. Is l a composite number?
True
Let j be 2 + ((-1)/(-1) - 1). Is (-30 - 7)/(j/(-10)) a prime number?
False
Suppose -4*a + 3 = -a. Suppose 0 = -5*g + 34 + a. Is g composite?
False
Suppose -5*b - 10 = -5*v, 2*v = b + 4*b - 5. Suppose 9 + 51 = v*l. Is 2*3/l*22 composite?
False
Let i(s) be the first derivative of s**2 - 5*s - 2. Is i(9) a prime number?
True
Let a(s) = -14*s - 4. Let i(f) = 7*f + 2. Let k(p) = 2*a(p) + 5*i(p). Let z be k(5). Suppose -3*x + z = -74. Is x a prime number?
True
Let k be (4/3)/(6/9). Is 316/10*5/k composite?
False
Let z = -207 + 896. Is z composite?
True
Let p = -769 - -1460. Is p a composite number?
False
Let m be 2/3*3 + 2. Suppose -2*n + 168 = -3*i - i, -n = -m*i - 74. Let d = n + -43. Is d a prime number?
False
Suppose 1835 = 3*f + 2*r, 5*r + 13 = 3. Is f prime?
True
Let d be 1*-2 + (3 - -11). Suppose u - d = 2*o, -4*o - 10 = -u + 6*u. Suppose -82 = -2*s - 4*z, -6*s - u*z = -s - 181. Is s a composite number?
True
Let t = 2191 + -1150. Is t a prime number?
False
Let n(q) = -q + 5. Let c be n(3). Let z be (-1 - -67)/c*3. Let j = 190 - z. Is j a composite number?
True
Let s(d) = d + 11. Let v be 10*(1 - 0)/(-1). Let x be s(v). Is 0 - -1*204 - x prime?
False
Let t = -5 - -13. Suppose t*n = 11*n - 417. Is n a composite number?
False
Let l = 52 - 82. Let p be 5*3/(l/(-8)). Suppose 40 = p*n + 2*m, 26 = n + n - 2*m. Is n a prime number?
True
Let r be -2*(-2)/8*6. Suppose -5*i + 335 = -5*d, -r*d + 278 = 4*i - 2*d. Is i a prime number?
False
Suppose -w + 3685 = 3*p - 0*w, -4*p - 3*w + 4920 = 0. Is p a composite number?
True
Suppose -4*x = -3*m - 0*m + 293, x + 97 = m. Is m a composite number?
True
Suppose 2*a - 5*f = 11, -2*f - 14 = -5*a + 3*a. Is 2/(a/(-3820)*-5) a prime number?
True
Suppose -2 = q - m - 1, q + 4*m = 19. Let d = 11 + q. Is d prime?
False
Let w = -2754 - -6125. Is w composite?
False
Let z(t) = 5*t**3 + 5*t**2 - 2*t - 13. Is z(4) composite?
False
Suppose 3*m + 3 - 6 = 0. Let a(f) = 2*f - 4*f + m - f**2 - f + 2*f**2. Is a(5) composite?
False
Let i be 537/(-6)*-1*2. Suppose -2*n = n + 2*w - i, -110 = -2*n + w. Is n a prime number?
False
Suppose 0 = 6*r - 2346 - 768. Is r composite?
True
Suppose 0 = -5*m + 317 + 468. Is m a prime number?
True
Let c = 2 - -1. Is (69/(-4))/(c/(-28)) prime?
False
Suppose 0*l + 4*l - 436 = 0. Let y = 6 + l. Is y a prime number?
False
Let m = -12 + 26. Is (1028/6)/(m/21) composite?
False
Suppose 0*b = -4*b + 2560. Suppose -7*z + b = -2*z - 3*s, -2*z = 2*s - 272. Is z a prime number?
True
Let v = 835 - -1314. Is v a composite number?
True
Let k be 1 - (3 - (-927)/(-3)). Suppose 0*l + l - k = 0. Is l a prime number?
True
Let u = -28 + 20. Let z = u - -15. Suppose 7 + z = 4*s + 5*f, -5*f = -4*s + 34. Is s prime?
False
Let k(s) = 8*s + 4*s + 1 - 8. Suppose 0 = 3*i - 4*y + 1, -21 = i - 2*i - 4*y. Is k(i) prime?
True
Let r(n) = 2*n**2 - n - 16. Is r(-13) a composite number?
True
Suppose 3*t = -2*t + 3305. Suppose -206 = -2*l + 5*k, 5*l - t = -2*k - 88. Is l prime?
True
Suppose -y + 1041 = 3*g - 0*y, 3*g - 3*y - 1041 = 0. Is g composite?
False
Is ((-977)/(-4))/(5*(-4)/(-240)) prime?
False
Let c = 585 + 1514. Is c composite?
False
Is 1262/(-3)*(-4)/(40/15) composite?
False
Let f be (-56)/(-9) - 2/9. Let a be (-40)/f*(-72)/16. Let v = a - -5. Is v a composite number?
True
Let l = 129 - 64. Suppose -3*b + 4*r + l = 0, -b - 2*r - 3*r = -28. Is b composite?
False
Let z = -3 + 7. Let y be z/(-14) - 4689/(-21). Suppose a = 3*k + y, -2*a - 2*k = -k - 418. Is a composite?
False
Let w(c) = c**2 + 6*c + 2. Let h(l) = l**2 - 8*l - 4. Let u be h(8). Let z be w(u). Is z/4*2286/(-27) prime?
True
Let k(v) = 6*v**2 - 1. Let d be k(-1). Suppose 0 = 5*t - 3*i - 482, 104 + 192 = 3*t + d*i. Is t a composite number?
False
Suppose -9*f + 2645 = -16786. Is f composite?
True
Suppose -5*f + 7 = -13. Suppose -5*l + 25 = 5*a, f*l - a = 4*a - 7. Suppose t + 9 = -0*q - 3*q, 2*q - l = -2*t. Is t composite?
True
Let r(d) be the third derivative of -d**4/24 - 2*d**2. Let k be r(-2). Suppose 5*g - 111 = k*c, 0 = -4*g - 4*c + 31 + 69. Is g a composite number?
False
Suppose 3*w = -693 - 315. Let x = w - -650. Is x prime?
False
Suppose 4*y = m - 0*m + 4796, 0 = -5*m - 20. Suppose 3*c - y = -319. Is c composite?
False
Let r(d) = -d + 3. Let k be r(5). Let h(c) = -28*c - 3. Is h(k) prime?
True
Let l(i) = i - 7. Let v(r) = r - 8. Let f(q) = -3*l(q) + 4*v(q). Let d be f(0). Let x = 22 + d. Is x prime?
True
Let m(h) = -h + 1. Let a be m(-1). Let r(y) = 39*y - 1. Is r(a) prime?
False
Suppose -5*l + 2*a = 3*a - 15, l = 5*a + 3. Suppose -5*w + 68 = -l*w. Is w a composite number?
True
Is 25180/24 + (-1)/6 composite?
False
Let f(d) = d**3 + 8*d**2 - 7*d - 5. Let s(l) = 2*l**3 + 17*l**2 - 14*l - 9. Let t(i) = -7*f(i) + 3*s(i). Let h be t(-6). Suppose 0*b = -h*b + 8. Is b composite?
True
Let z = 345 - 92. Is z a composite number?
True
Let j(r) = 35*r - 4. Let h(x) = 71*x - 9. Let l(a) = -4*h(a) + 9*j(a). Let m be l(-3). Is (-6)/9*3 - m composite?
True
Suppose 2*v + 0*v = -12. Let i = -3 - v. Suppose 0 = h + i*h - 268. Is h prime?
True
Let c(z) = 10*z**3 + 2*z - 1. Let v be c(1). Let j be ((-4)/(-6))/((-2)/(-108)). Let b = v + j. Is b a composite number?
False
Let y(v) = -38*v**2 + 20*v - 2. Let x(l) = 13*l**2 - 7*l + 1. Let s(q) = -11*x(q) - 4*y(q). Is s(-2) prime?
False
Let b(q) = q**3 + 8*q**2 - 2*q - 3. Let a be b(-5). Suppose 15 = -j + a. Is j a prime number?
True
Suppose 0 = -m - 5 + 3. Is -2 - 2*m - -407 prime?
True
Let w(a) = -70*a**3 - 2*a**2 + 4*a - 5. Let i be w(2). Let b = -371 - i. Is b a composite number?
True
Is (-12)/(-4) + -6 + 2 + 38 prime?
True
Let n be (2/(-6))/((-3)/36). Suppose 2*t = w + 64, 0*t - n*t + 3*w = -130. Is t a prime number?
True
Let s(w) = -5*w**2 + 2*w - 2. Let b(o) = -6*o**2 + 2*o - 3. Let t(u) = 3*b(u) - 4*s(u). Is t(-5) a prime number?
True
Let l be (-15)/6 + 1/2. Is (47/(-2))/(1/l) composite?
False
Suppose 1224 = 5*p - 2141. Is p a composite number?
False
Is (-4)/16 - 573/(-4) a prime number?
False
Is (892/6)/((-2)/(-12)*4) a composite number?
False
Let p(w) = w**2 + 5*w - 6. Suppose -16 = f - 5*q, -3*f - 10 = q + 3*q. Let n be p(f). Suppose 2*y = -3*d - n*d + 100, -5*d = -2*y + 116. Is y prime?
True
Is -1146*(-1)/8 - (-4)/(-16) prime?
False
Let t(w) = 19*w**2 + 1. Let b(q) = q**3 + 2*q**2 - 1. Let k be b(1). Is t(k) a composite number?
True
Let t(q) = 2*q - 7. Let m be t(6). Suppose -2*h - 46 = -u + h, 5*u = m*h + 200. Suppose 5*o + 3*z + 0*z - 90 = 0, u = 2*o + z. Is o a prime number?
False
Let p = 13 - -42. Is p composite?
True
Suppose -26 = 3*z + 247. Let b = 188 + z. Is b a prime number?
True
Let h(y) be the third derivative of y**4/24 + 13*y**3/6 + y**2. Let f(g) = -g**3 + 6*g**2 - 2*g + 12. Let k be f(6). Is h(k) prime?
True
Let z(g) = 52*g**2 + 4*g + 5. Is z(-2) composite?
True
Let t(n) = -n**3 + 21*n**2 - 17*n + 5. Is t(20) composite?
True
Suppose 0 = n + n - 4. Let w = 2 - n. Suppose 265 = 5*z - 3*x, w*z + x - 265 = -5*z. Is z prime?
True
Let k be (-42)/(-8) + 2/(-8). Suppose k*l = 4 + 21. Suppose 0 = 2*c + l*r - 17, -2*r + 10 = c + 1. Is c a prime number?
True
Let b = 0 + 46. Is b a composite number?
True
Suppose -1 = -3*t + 2, 2*c - 1387 = -5*t. Is c composite?
False
Is (-27 - -24) + 0 + 430 a composite number?
True
Let t = 9 - 6. Let d = -11
|
{
"pile_set_name": "DM Mathematics"
}
|
q).
-1
Let v(n) = -n**3 - 9*n**2 + 2*n - 17. Let m(d) = d**3 + 8*d**2 - d + 14. Let k(i) = -5*m(i) - 4*v(i). Give k(-3).
-2
Let r(c) = -c**3 + 5*c**2 - c + 3. Let i(p) = -p**2 + 3*p - 3. Let v be i(5). Let t = -13 - v. Let l = 5 - t. Calculate r(l).
-2
Let r(n) = 5*n**2 + n + 10. Let k(s) = 4*s**2 + 9. Let h(b) = 6*k(b) - 5*r(b). Give h(-4).
8
Suppose -1 = -2*d - v, -5 = 3*d - 5*v - 0. Let t(z) be the first derivative of z**3/3 + z**2/2 - 3*z - 3. Determine t(d).
-3
Let f(x) = 9*x + 11. Let u(m) = -5*m - 6. Let y(k) = -3*f(k) - 5*u(k). What is y(6)?
-15
Let d(o) = -o. Let k(f) = 2*f + 3. Let q(z) = d(z) + k(z). Suppose -2*t - 46 = 4*v, -17 = 5*t + 8. Let h be (0 - -3)*12/v. Calculate q(h).
-1
Let u(c) = -2 - c - 5 + 15. Calculate u(3).
5
Let t(a) = a - 2. Let i be t(5). Let v = -3 + i. Let m(u) be the second derivative of u**5/20 - u**4/12 + 13*u**2/2 + 93*u. What is m(v)?
13
Let i = 10 + 45. Suppose -5*g - 5*n = i, 20 = -6*g + 2*g + 4*n. Let j(u) = -u**3 - 9*u**2 - 8*u + 6. What is j(g)?
6
Suppose 132 = -3*q - 8*q. Let x be 4/q + (-76)/(-12). Let l(r) = -r**2 + 6*r - 8. Give l(x).
-8
Suppose -5*r + 5*t = -20, -3*t + t = 2*r. Suppose 9 + 13 = 11*f. Let d(z) = -11 + f*z + 0*z - z - r*z. Calculate d(0).
-11
Let g(y) = 19*y - 226. Let m be g(12). Let u(w) = 2*w**3 - w**2 - 3*w - 2. Give u(m).
4
Let i(w) = 2*w**2 - 6*w + 1. Let p(k) = 3*k**2 - 6*k - 3. Let j(d) = 4*i(d) - 3*p(d). What is j(-6)?
13
Let m be (-4)/(-22) + (-124)/(-44). Let q be (-1 + m)*7/(-14). Let f(z) = 8*z**2 + 2*z + 1. Give f(q).
7
Suppose 4*i - 6 = i. Suppose i*u - m = -24, 18 = -3*u - 3*m - 0*m. Let d(c) = c**3 + 10*c**2 + c + 1. What is d(u)?
-9
Let i(f) = -f + 9. Let m be (3 - 3) + 1 + 6. Let r be i(m). Let a(q) be the second derivative of -q**4/6 + q**3/2 - 3*q**2/2 - q. Determine a(r).
-5
Let i(m) = m**3 - 2*m**2 - 7*m + 6. Let d = -4 + 5. Suppose 0 = -5*o - d + 21. Suppose o*s + 2 + 2 = 0, -5*s = 2*p - 3. Calculate i(p).
10
Let x(n) be the first derivative of -n**2/2 + 6*n + 1. Let i = 616 + -608. Calculate x(i).
-2
Let y(x) = x**3 - 3*x + 1. Let u be y(2). Suppose p + 0*p = u. Let q(l) = l**2 - 5 - p*l + 4 + 0*l**2 - 2*l**2. Calculate q(-2).
1
Let q be (-2)/7 + (-72)/42. Suppose 2*o = -2 + 30. Let n(u) = 13*u**2 + 0*u - o*u**2 - 5*u - 3. Give n(q).
3
Let n(a) = a**3 + a**2 - 3*a + 3. Let f be n(-4). Let y = -24 - f. Let m be 20/40*(y + 1). Let j(s) = s**2 - 6*s + 3. What is j(m)?
-2
Let s(p) = -13*p**2 + 55*p - 143. Let j(u) = 7*u**2 - 28*u + 71. Let t(y) = -11*j(y) - 6*s(y). Determine t(17).
-8
Suppose b - 6*b - 5 = 0. Let n(r) = -r**2 + 2*r + 1. Let w be n(b). Let t(i) = -i - 2. Give t(w).
0
Let u(y) = -2*y - 3*y + y + 3 - 2. Let s be u(2). Let a(i) = -2*i**2 - i - 2. Let w(n) = 9*n**2 - n + 10. Let o(x) = 5*a(x) + w(x). Determine o(s).
-7
Let i(w) = 841*w**2 - 31 + 849*w**2 - 1691*w**2 - 27*w. What is i(-26)?
-5
Suppose 2*y - 10 = 7*y, i + 1 = -3*y. Let d(j) = -j**2 + 7*j - 6. Give d(i).
4
Let s(z) be the first derivative of z**5/20 + z**4/8 + 6*z**3 + 30. Let f(l) be the third derivative of s(l). Give f(-2).
-9
Let z be 30/(-70) - 36/14. Let x(o) = 0*o + o**2 - o - 1 + 4*o + o**3 - 4*o. What is x(z)?
-16
Let o(t) be the third derivative of t**5/120 + t**4/12 - 17*t**3/3 + 10*t**2. Let c(g) be the first derivative of o(g). What is c(-5)?
-3
Let b(g) = g**3 - g + 1. Let a(u) = u**3 - 15*u**2 - 3*u**3 + 19*u**2 + 5*u - 2. Let c(o) = a(o) + 3*b(o). Suppose -3*k = 13 - 4. Give c(k).
4
Let q(i) = i**2 + 3*i. Let c(j) = -j**2 - 13*j - 7. Let v be c(-12). Suppose 5*l + 3*m - 7*m + 24 = 0, -v*l - 22 = -2*m. Calculate q(l).
4
Let p(w) be the third derivative of w**4/8 + w**3/6 + 335*w**2. Determine p(-4).
-11
Let g(a) be the second derivative of 16*a + 0 - 1/2*a**2 - 2/3*a**3. Determine g(4).
-17
Let p = 35 - 36. Let d be 0/p + -3 - 1. Let j(c) = -4*c - 4. Calculate j(d).
12
Let d(b) be the second derivative of 19*b**6/360 + 37*b**3/6 - 32*b. Let u(n) be the second derivative of d(n). Calculate u(1).
19
Let p(m) be the second derivative of -m**6/120 + m**5/12 - m**4/12 - m**3/2 - 7*m**2/2 + m. Let n(k) be the first derivative of p(k). Calculate n(4).
5
Let s(i) = -13*i**2 - i**3 - 6 + 4*i**3 - 23*i + 24*i - 2*i**3. Suppose -v = 2*w - 2*v - 26, -v = -5*w + 65. Calculate s(w).
7
Let w(y) = y - 6. Let l be w(9). Suppose m + 0*m = -2*o + 11, -3*m + l = -4*o. Let r(q) = q - 5. Give r(m).
0
Let q(f) be the second derivative of -f**5/20 - 5*f**4/12 - f**3/6 - 3*f**2/2 - 3*f. Let c = -31 - -27. Determine q(c).
-15
Let o be 0/(2/(-5)*-5). Suppose t - 21 = -4*p, -p - 5*t + 2 - 11 = o. Let c(k) = k**3 - 7*k**2 + 5*k - 5. Determine c(p).
-11
Let s(o) = -2*o**2 + 2*o + 6. Let d be s(3). Let g(b) = -b**3 - 7*b**2 - 5*b + 2. Let p be g(d). Let z(f) = 2*f**2 + 5*f - 4. Calculate z(p).
8
Let p(g) = -g**3 + g**2 + 1. Let f be (-2)/4*(-128)/(-16) - -8. Suppose c - 3 + 2 = 0. Suppose b + 4*j - f = -b, -c = -j. Calculate p(b).
1
Let x = -1 + 1. Suppose -4*o - 7 = -4*f - o, f + 7 = -o. Let k be x + -4 + (7 - f). Let m(d) = -d**3 + 5*d**2 - 2*d - 4. Calculate m(k).
-14
Let k(t) = -t**2 + t + 6. Let v(x) be the third derivative of -x**5/60 + x**4/24 + x**3 + 21*x**2. Let n(r) = -7*k(r) + 6*v(r). Determine n(0).
-6
Let x(g) = 13 + 11*g + 16*g + 12*g - 38*g. Determine x(-6).
7
Let j(c) = -c**3 + 13*c**2 + 10*c + 12. Let w(t) = t**2. Let n(o) = j(o) - 5*w(o). What is n(9)?
21
Let y(f) = -2*f**3 + 5*f - 1. Let d(g) = -g**3 + g**2 + 2*g - 1. Let q(a) = 3*d(a) - y(a). Calculate q(3).
1
Let a(i) be the first derivative of -i**3/3 + 11*i**2/2 - 20*i + 295. What is a(7)?
8
Let g(i) be the third derivative of -1/6*i**3 + 0*i + 1/60*i**5 + 1/3*i**4 + 0 - i**2. Let o = -3935 - -3929. What is g(o)?
-13
Let r(x) = 2*x + 31. Let h(j) = -3*j - 48. Let f(n) = 5*h(n) + 8*r(n). Calculate f(-12).
-4
Let m(l) = -l**2 - 5*l + 41. Let g be m(4). Let q(z) be the second derivative of 7/2*z**2 + 1/20*z**5 + 0 - 7/12*z**4 + z**3 - g*z. Give q(6).
7
Suppose -3*q + 19 + 16 = -4*z, 53 = 5*q - 4*z. Let a(w) = w**3 - 10*w**2 + 6*w + 7. Determine a(q).
-20
Let k be (-54)/4*(-20)/15. Suppose k = 4*i + 2*i. Let a(l) = -l**3 + 4*l**2 - 2. Give a(i).
7
Let g be 6 - (4 + -2 - 1). Let r(y) = 1 + y**2 - g*y + y + 1 + 0*y. Calculate r(3).
-1
Let l(o) = o - 2. Let f be l(7). Let x(n) = 4*n + 2*n - f*n - 3. Give x(5).
2
Let x(o) = 1. Let a(v) = v + 7. Let g(y) = a(y) - 6*x(y). Let d(h) = h + 1. Let c(l) = 3*d(l) - 2*g(l). Determine c(-5).
-4
Let x(m) = 8*m - 3. Let l be x(1). Let b(h) = 29*h**2 - 27*h**2 + 1 + l*h - 3. Suppose 10 = -3*k + 2*k - 3*s, 5*k - 5*s = -10. What is b(k)?
10
Let p be 2/(-17) - ((-95)/85 + -4). Let l(u) = 0*u + 2 + 5*u - 3*u. What is l(p)?
12
Let y(a) = -32*a**2 - 24*a**2 + 60*a**2 + 1. What is y(1)?
5
Let v = 13 - 8. Let i(f) = 5*f - 6*f + v - 8*f**2 - 4. Let d be (-9)/(45/(-20)) + -3. What is i(d)?
-8
Suppose 174 = -30*o - 6. Suppose 5*h + 2 = 27. Let q(j) = j**3 - j**2 + 1. Let p(w) = 6*w**3 - 6*w + 5. Let l(t) = h*q(t) - p(t). Calculate l(o).
0
Let x(j) = -j**3 - 4*j**2 - 3. Let m be ((-1)/3)/(5/(-135) - 0). Let p = 5 - m. Give x(p).
-3
Let i(s) = -2*s - 11. Let y(v) = -3*v - 9. Let b(q) = 4*i(q) - 3*y(q). Determine b(12).
-5
Suppose 4*b = 25 - 5. Let j(n) = n - 3*n - 9 + 10 + n. Determine j(b).
-4
Suppose 2*f + 4 = 16. Let d = -13 + f. Let b(q) be the first derivative of -q**2/2 - 4*q + 3. What is b(d)?
3
Let z(p) = p + 5 - 8*p + 0 + 6*p. Let y be z(2). Suppose y*r - 12 = 3. Let k(w) = -w**3 + 4*w**2 + 4*w - 1. Calculate k(r).
-6
Let d = -731 - -737. Let m(x) = x**2 - 15*x + 2. Determine m(d).
-52
Suppose -3 = -23*r + 20*r. Let v(o) = -10*o**2 + o. Let w(h) = 21*h**2 - 2*h. Let u be -5 + (4 - 2 - 4). Let p(s) = u*v(s) - 3*w(s). Determine p(r).
6
Let u(f) = -3*f + 10. Let q(m) = m**3 - 4*m**2. Let j be q(4). Calculate u(j).
10
Let r(y) = -3*y - 46. Let h(n) = -2*n - 25. Let c(f) = -7*h(f) + 4*r(f). Suppose -4*b + 7*u = 3*u - 16, -4*u = 5*b - 38. Calculate c(b).
3
Let m be ((-8)/6)/(4/18). Let l(f) = -f - 1. Let d(p) = 7*p + 4. Let k(q) = m*l(q) - d(q). Determine k(5).
-3
Let m(j) = 2699310*j + 1 + 5*j**2 - 2699310*j. Let u = 3 + -4. Give m(u).
6
Let i(a) = 1112*a + 4 - 1116*a - 1. What is i(6)?
-21
Let q(v) = 3*v + 7. Let t be q(-6). Let n(s) = s**3 + 11*s**2 - s - 11. Let l be n(t). Let g(u) = -u + l*u + 3*u*
|
{
"pile_set_name": "DM Mathematics"
}
|
e (3 - 3 + 2)*(2*w - 3 + 3 + (2*w - w - 3*w)*(-2 + 0 + 0) + 4 - 4 + 2*w - 3*w + w + 0*w + (1 - 2 + 5)*(2 - 3*w - 2) + w + 1 - 1) to c + h*w and give h.
-10
Rearrange -5*h**3 + 244*h - 244*h + 64 - h**3 + 14*h**3 to i*h + x*h**2 + m*h**3 + t and give t.
64
Rearrange (19*r**2 - 77*r + 77*r)*(1831 - 900 + 1641*r - 931) to the form k*r**3 + d + x*r + u*r**2 and give k.
31179
Rearrange (-4*o - 6*o + 5*o)*(-177*o - 62*o + 79*o)*(-4 - 2 + 2) to the form x + i*o + s*o**2 and give s.
-3200
Express (-8*w**2 + 21*w**2 + 7 - 3 + 53*w**2)*(-257 - 15*w**2 + 257) in the form l + b*w**2 + z*w + d*w**4 + x*w**3 and give b.
-60
Express -19*w**2 - 5*w**2 - 4 - 12 + 12*w + 22 as d*w**2 + v*w + t and give v.
12
Rearrange (2 + 9 - 7 - 3*c)*(-c**2 - 4 + 4) + 34843*c**2 - 34843*c**2 + 213*c**3 to the form m + y*c**2 + z*c + v*c**3 and give v.
216
Rearrange -8*u + 4*u**3 + 20 + 27*u - u**2 + 9*u - 19 + 10*u to r*u**2 + h + j*u + x*u**3 and give x.
4
Rearrange -15 - 297384*q**3 + 3*q - q - 5*q**2 - 3*q + 297382*q**3 to d*q**2 + i + t*q + z*q**3 and give d.
-5
Rearrange 0*s - 6*s**3 - 13*s - 38*s**3 + 11*s + 12 to the form f*s**2 + v + z*s + p*s**3 and give p.
-44
Rearrange -3 + 2 - 127791*l**2 + 6*l + 1 + 124571*l**2 to g*l**2 + p*l + h and give g.
-3220
Rearrange -3*m + m - m + (-5 - 11 + 6)*(114*m + 3*m + 10*m) to y + h*m and give h.
-1273
Rearrange (4*n**3 - 2*n**3 - 3*n**3)*(0*n - n - 4*n) + 4*n**4 - 9*n**4 - 4*n**4 - 320 + 15*n**4 + 320 to the form k*n + b*n**4 + u*n**3 + p + w*n**2 and give b.
11
Express (312*i - 91*i - 7220 + 7222)*(-1 + 1 + 2*i) in the form t*i**2 + d*i + j and give d.
4
Rearrange 5*n**2 - n**2 + 42*n - 31*n - 10*n + 11*n**2 + 10 to v + d*n**2 + h*n and give v.
10
Rearrange (-6 + 6*r**2 + 6)*(-5*r + 348 - 481 + 2*r) to the form o*r**2 + x*r + c + u*r**3 and give o.
-798
Express -13 + q**3 - 2*q + 6*q**4 - q**2 + 8*q**4 + 10 + 8*q**4 - 27*q**4 in the form n*q**2 + z*q**3 + c + k*q**4 + b*q and give z.
1
Rearrange -5 - 921309*i**2 + 0 - 22594*i + 5 + 921311*i**2 to v*i**2 + z + q*i and give v.
2
Rearrange (6 + 14 - 19)*(-467*d**3 - 86802 + 86802)*(2 + 1 - 4) to the form z*d**2 + i*d**3 + b + j*d and give i.
467
Rearrange 36 + 156*n**3 - 2*n - 646*n**3 - n**4 + 163*n**3 + 165*n**3 + 163*n**3 - n**2 to the form v*n**4 + z*n**2 + o*n**3 + m + t*n and give z.
-1
Express 8672*w - 17950*w + 8572*w as k + q*w and give q.
-706
Rearrange h - 1519 + 53 + 1422 + 11*h**2 to the form q*h**2 + v*h + o and give v.
1
Express -3 - 2*q + 3 + (-77*q - 112*q - 203*q + 113*q)*(-14 + 21 + 12) as c + s*q and give s.
-5303
Express (25 - 25 - 4*b + (-3 + 3 - 2)*(0 + 0 + 2*b))*(10*b - 29*b + 9*b) as y*b**2 + k + h*b and give y.
80
Rearrange -293*b + 25 - 362*b - 351*b - 32 + 11 to the form f*b + o and give o.
4
Express (-1 + 2*d + 1)*(7 - 6*d - 7) + (1 + 0 - 3)*(3*d**2 + 5*d**2 + 4*d**2)*(-1 - 5 + 4) as p*d**2 + o*d + m and give p.
36
Express 48 - 25*y - 10593*y**2 + 10598*y**2 - 49 as r*y**2 + l*y + i and give i.
-1
Rearrange (-b - 1 + 1)*(4 - 2 + 0) - 669 - 1343 - 4489 + 4*b to the form d*b + x and give d.
2
Rearrange (-573 + 203 + 16831*w**2 + 370 - 1928*w**2)*(-2*w + 0 + 0) to the form l*w + h*w**2 + j*w**3 + p and give j.
-29806
Rearrange (-593 + 1759 - 426 + 6456)*(m - 21*m**3 - 2*m + 20*m**3) to the form y*m**3 + l + g*m + b*m**2 and give b.
0
Rearrange 76*w + 75*w + 12 - 18 - 152*w + 11*w**2 to the form s*w + o*w**2 + x and give s.
-1
Express (-t**2 - 3*t**2 + t**2)*(-13 - 6 - 12)*(22 - 29 + 22) as j*t**2 + r + l*t and give j.
1395
Rearrange 20*y**3 - 263*y + 8*y**3 + 266*y + ((-3 + 5 + 0)*(-4 + 1 + 5) + 5 - 5 + 6)*(-6 + 9*y**3 + 6) to the form o + r*y + k*y**3 + l*y**2 and give k.
118
Rearrange 24*k - 2*k + 83 + 51*k - 37*k to s + t*k and give t.
36
Rearrange (-80*f - 326 + 163 + 160)*(-15*f**2 + 164*f**2 - 9*f**2) to the form i*f**2 + a*f**3 + t + k*f and give a.
-11200
Rearrange -958*i**4 + 11*i**2 + i**3 + i - 16*i**2 + 957*i**4 + 7*i**2 + 5 to n*i**2 + m*i**4 + x*i**3 + v + r*i and give n.
2
Express (243*s + 1321*s + 1541*s)*(3 - 2 + 1) in the form h + b*s and give h.
0
Express 18810*p**3 - 18813*p**3 - 35*p - 5*p**4 + 3*p**4 as x*p**2 + u*p + a*p**4 + v*p**3 + m and give a.
-2
Rearrange -31*n + 749 - 749 + 2*n + 3*n - 6*n + (-5 + 3 + 1)*(3*n + 0*n - 2*n) + n - 2*n - 2*n + (-4*n - n + 3*n)*(1 - 1 + 1) to the form l + p*n and give p.
-38
Express (13 + 4 + 1)*(-4 + 4 + 3*h)*(8 + 15 - 3 - 3 + 1) as z*h + a and give z.
972
Rearrange -x**2 - 3*x + 3*x + 292*x - 32*x**2 - 292*x + (3*x - 4*x + 0*x)*(-2*x - 2 + 2) - 38*x**2 - 41*x**2 + 11*x**2 to p*x**2 + d + o*x and give p.
-99
Express (-4*t**2 + 2*t**2 + 4*t**2)*(-6 + 10 - 5) + (44*t - 1994 + 1994)*(4 - t - 4) in the form w*t + p*t**2 + k and give p.
-46
Express 11 - 12 - 21*c**3 + 76*c**2 - 15*c**3 + 37*c**3 + c**4 - 3*c**4 - 8*c in the form j + s*c**4 + y*c + v*c**2 + a*c**3 and give a.
1
Rearrange 7*b**2 + 4*b + 78 + 82 - 157 - 18*b**2 + 6*b**3 + 9*b**2 to w*b + c*b**2 + h*b**3 + d and give h.
6
Express -40*i**3 + i**2 + 4 - 5*i + 47*i**3 + 2*i**3 as s*i**2 + o*i + t + p*i**3 and give s.
1
Express -286*b - 137*b - 56*b - 164 + 162 - 8*b**2 in the form c*b**2 + a + g*b and give a.
-2
Rearrange 9722 - 19442 + 9719 + 640*q to the form a*q + i and give i.
-1
Rearrange -3690*p - 1646*p - 6784*p + 320*p to the form h*p + m and give h.
-11800
Rearrange -3224*t + 8513*t - 9530*t - 8747*t - 12230*t to l + f*t and give f.
-25218
Express (0 - 2*d + 0)*(37*d - 468 + 464 + 70*d + d**3 - d**2) in the form z + n*d + x*d**3 + c*d**4 + g*d**2 and give n.
8
Express (-8 + 3 - 30)*(0*v - v + 2*v)*(-3*v**3 + v**3 - 2*v**3) - 2*v**4 + 2*v**4 + 2*v**4 in the form j*v**4 + d*v + o*v**2 + g*v**3 + h and give j.
142
Rearrange -61*o - 176*o + 3*o**2 - 55*o + 292*o + 482 to b*o + t + p*o**2 and give t.
482
Rearrange -1673 + 5035 + 3928*z - 1684 - 1678 to l*z + x and give l.
3928
Rearrange -z - 4*z + 2*z + 1 - 1 + 2*z + (-2*z - 2*z + 2*z)*(1 + 0 - 3) + 22 - 102*z + 2 - 24 - 4*z - z + 4*z to c*z + l and give c.
-100
Express -4*k + k**2 + 15*k**4 - 32*k**4 - 8*k**2 + 39*k**4 in the form n*k**4 + p*k**2 + b + s*k**3 + v*k and give p.
-7
Express -23*r + 57*r**2 + 76*r**2 + 13*r + 8*r - 4*r**3 in the form i*r + f*r**2 + y + p*r**3 and give p.
-4
Express -20002*h**3 + 10000*h**3 - 4 + 2 + 10003*h**3 - 2*h + 15*h**2 in the form z + f*h + d*h**2 + y*h**3 and give z.
-2
Express -608*z - 94397 - z**2 - 628*z + 94399 in the form p*z + c*z**2 + j and give p.
-1236
Express (-v**2 + v - v)*(-945 + 535 + 410 - 191607*v) as q*v + h + d*v**3 + i*v**2 and give d.
191607
Express 444*l + 1922*l + 0 + 0 as w*l + y and give w.
2366
Rearrange -609*t - 34 + 17 + 18 to f*t + m and give m.
1
Rearrange (14*t - 6*t - 27*t)*(-54*t + 54*t - 47*t**2 + (2 + 0 - 1)*(4 - 2*t**2 - 4)) - 4*t**3 + 3*t**3 - t**3 to b*t**3 + q + n*t + m*t**2 and give b.
929
Rearrange 198*i - 3881 + 24*i**2 + 3883 - 17*i**2 to p + v*i + a*i**2 and give a.
7
Express -3*p - 11*p**3 - 34 + 11*p**3 - 121*p**4 + 104*p**4 - 10 + 3*p**2 as q*p**2 + z*p**4 + d + a*p + l*p**3 and give a.
-3
Express (25 - 4 + 102)*(-2 + 0 + 0)*(-123*y + 94*y - 1 + 2) in the form c*y + r and give c.
7134
Express a**2 + 280*a + 13 - 9 - 4 + (2*a - 2*a + 2*a**2)*(3 - 2 + 1) + 2135*a - 2135*a + 51*a**2 as h*a + z + c*a**2 and give z.
0
Rearrange -7*a + 6 + 2*a**2 + 6 + 7 + 9 to the form f*a + s*a**2 + y and give y.
28
Express (1 - 33 + 12 - 25)*(2 + 4*w - 3*w + w)*(-12*w**3 + 28*w**3 + 13*w**3) as i*w**3 + y*w**4 + m*w**2 + q + x*w and give i.
-2610
Express (0*v**2 + 0*v**2 + v**2)*(10595 + 859*v - 10595)*(4*v - 2*v + 0*v) in the form b*v**4 + g*v + h*v**2 + z*v**3 + t and give b.
1718
Rearrange 1325*r - 668*r + 1951*r to the form k*r + a and give k.
2608
Rearrange -32681*h - 32688*h + 344*h**3 + 65370*h to the form m*h + k*h**3 + q + w*h**2 and give w.
0
Express -28*y**4 - 1709*y**3 + 58*y**4 - 31*y**4 - 6*y**2 + 568*y**3 in the form j + r*y**2 + o*y**4 + n*y**3 + a*y and give n.
-1141
Rearrange (-3*g - 2*g + 3*g)*(-2 - 1 + 4) + (225*g - 22*g - 34*g)*(-2 + 1 - 1) to h + x*g and give x.
-340
Express -2*z**4 - 2*z**4 + z**4 + (76*z + 22*z + 4*z)*(2*z**3 + 0*z**3 + 3*z**3) as j + d*z**3 + o*z + u*z**4 + f*z**2 and give u.
507
Rearrange (0*v**3 + 2*v**3 + 0*v**3)*(v - 4*v - 4*v - 4*v)*(91 - 44 - 55)*(4 - 1 - 5) to the form i
|
{
"pile_set_name": "DM Mathematics"
}
|
(8))**2 - (-3*(sqrt(55)/sqrt(5) + 2))**2)*1.
-36*sqrt(11) - 91
Simplify ((sqrt(80) + 2 + -2 - sqrt(80) - ((sqrt(80) - (-5*(sqrt(80)*2 + sqrt(80) + sqrt(80)) + sqrt(80))) + sqrt(80) + sqrt(80))) + 5)**2.
-880*sqrt(5) + 38745
Simplify 2*4*(5 + -1*sqrt(1216)).
-64*sqrt(19) + 40
Simplify (-4*(-4 + -4*(sqrt(33)/(sqrt(6)/sqrt(2)) + (sqrt(66)/sqrt(3))/sqrt(2))))**2.
1024*sqrt(11) + 11520
Simplify -3 + 1*(5*sqrt(1008)*-1 + (sqrt(1008) + ((sqrt(1008) + sqrt(1008) + 0)*5 - sqrt(1008)))**2).
-60*sqrt(7) + 100797
Simplify 5 + (2*5*sqrt(35) - sqrt(35))/((sqrt(60)/sqrt(2))/sqrt(6)).
5 + 9*sqrt(7)
Simplify sqrt(78)/(-2*sqrt(24))*-3 + -1.
-1 + 3*sqrt(13)/4
Simplify (4*(((-2 + sqrt(1539))*2 - sqrt(1539))*-6 + 2))**2.
-44928*sqrt(19) + 897280
Simplify (-1 + 3 + (-1 + (1*sqrt(7) - sqrt(7)))*5 + -1)**2.
16
Simplify (sqrt(896) + (-4*sqrt(896) + sqrt(896) - sqrt(896)))/sqrt(8) + (sqrt(126)/sqrt(18))/sqrt(9).
-35*sqrt(7)/3
Simplify (sqrt(204)*4*-3 + sqrt(204) - sqrt(204))/(-3*sqrt(12)*1).
4*sqrt(17)
Simplify (sqrt(147) + -3*(sqrt(147) + (sqrt(147)*-1 + sqrt(147) - sqrt(147)) + sqrt(147)) - 6*(sqrt(147)*1 - sqrt(147)))**2 - (sqrt(147)*2*3 + -1).
-42*sqrt(3) + 589
Simplify 3*sqrt(5)*1*4 + (sqrt(720) - (2*sqrt(720)*-4)**2).
-46080 + 24*sqrt(5)
Simplify ((((sqrt(209) - (sqrt(209) - sqrt(209)*-2)) + sqrt(209))*-4)/sqrt(11) + 3)*4.
12 + 16*sqrt(19)
Simplify -4 + ((-3 + (sqrt(272) - -2*sqrt(272)) - (sqrt(272) + sqrt(272)*-1 + -2 + sqrt(272)))**2 - -5*((sqrt(272) + 0)**2*1 - sqrt(272))).
-36*sqrt(17) + 2445
Simplify ((sqrt(121) - (-1*sqrt(121)*-2 + sqrt(121) - sqrt(121))) + -5*sqrt(121)*1)/((sqrt(132)/sqrt(3))/sqrt(4) - (sqrt(33)/sqrt(3)*1 - sqrt(11))).
-6*sqrt(11)
Simplify (5*(4*sqrt(77) - sqrt(77)))/(sqrt(7) - sqrt(112)/sqrt(4)).
-15*sqrt(11)
Simplify (sqrt(405) - (sqrt(405) + 5))*6 + sqrt(405)*-4*5.
-180*sqrt(5) - 30
Simplify 0 + 3 + sqrt(156)/(sqrt(192)*-5) + -1.
-sqrt(13)/20 + 2
Simplify (sqrt(2541)*-3)/sqrt(3) + (sqrt(28)/(sqrt(16) - sqrt(4)) + 3)**2.
-27*sqrt(7) + 16
Simplify (-1*sqrt(875)*-1 + sqrt(875) - sqrt(875))/(1*sqrt(80)*2).
5*sqrt(7)/8
Simplify (((sqrt(15) + (sqrt(1215)*-1 + sqrt(1215) - sqrt(15)))*5)/((2*sqrt(3)*1 - sqrt(3))*-2))**2.
0
Simplify ((5*sqrt(1377)*-1 - sqrt(1377)) + (sqrt(1377) + sqrt(1377) + -3)*-3)**2.
-1944*sqrt(17) + 198369
Simplify (-6*sqrt(55)*1)/(sqrt(132)/(sqrt(36)/sqrt(3))) - (sqrt(25) - (sqrt(200)/sqrt(32) - sqrt(25)))/(-5*sqrt(10)/sqrt(2)).
-57*sqrt(5)/10
Simplify (sqrt(11)*-3*-1 + 4 + -5 + 2)**2*4*-2.
-800 - 48*sqrt(11)
Simplify 2 + (sqrt(35) - sqrt(105)/sqrt(3)*-3)/(-6*sqrt(14)/sqrt(2) + sqrt(7)).
-4*sqrt(5)/5 + 2
Simplify -3 + (sqrt(891) - 6*(sqrt(891) - sqrt(891)*2))**2*4 + 1.
174634
Simplify 6*((sqrt(30)/(sqrt(3)*-4))/(sqrt(125) + 4*sqrt(125)))**2.
3/2500
Simplify 1 + sqrt(45)/sqrt(144) + -5 + ((2*sqrt(80)*2 + sqrt(80))*1)**2.
sqrt(5)/4 + 1996
Simplify (-1 + sqrt(242))**2 + 3 + (sqrt(2) - ((sqrt(2)*-2)**2 + 2)) + sqrt(12)/sqrt(54).
-62*sqrt(2)/3 + 236
Simplify ((sqrt(32) + -3 + sqrt(128)/sqrt(4) - (-1*sqrt(32) + -4)) + 0)**2.
24*sqrt(2) + 289
Simplify (-6*(-1*(0 + sqrt(448) + 2) + 3))**2.
-576*sqrt(7) + 16164
Simplify (sqrt(605) + -5*(1 + sqrt(605)) + -4 + sqrt(605)*2 + sqrt(605) + -3 + -5)**2.
374*sqrt(5) + 894
Simplify (sqrt(99)*-5 + -4 - (1 + sqrt(11) + 3 - (sqrt(44) + (sqrt(1100) - sqrt(44)))/sqrt(4)))**2.
176*sqrt(11) + 1395
Simplify 0 + (sqrt(20))**2 + 3 - 6*sqrt(5)*-4*-2.
-48*sqrt(5) + 23
Simplify ((4 + sqrt(13)*4)*3 - (-2 + sqrt(26)/sqrt(2) + 5))**2.
198*sqrt(13) + 1654
Simplify 4*(2 + (4 + -5 + -4*(sqrt(1088) + 0))**2).
256*sqrt(17) + 69644
Simplify ((3*1*sqrt(24))/sqrt(12) - (sqrt(14) - -1*sqrt(28)/sqrt(2))/sqrt(7)) + 5.
sqrt(2) + 5
Simplify -4*(sqrt(2057) - (sqrt(2057) + -1))*6 + 1.
-23
Simplify (((sqrt(66)*4)/sqrt(11))/(sqrt(24)/(-3*sqrt(12))))**2.
432
Simplify (-4*(-1*sqrt(1377)*6 - ((sqrt(1377) - (sqrt(1377) + 0)) + 0)))**2.
793152
Simplify 3*-1*(sqrt(45)/sqrt(9) + 2 - sqrt(35)/(sqrt(70)/sqrt(10))).
-6
Simplify 4 + ((5 + -4*sqrt(72))*-6*5)**2.
-216000*sqrt(2) + 1059304
Simplify ((sqrt(171) + -5*-1*sqrt(171) + sqrt(171))/(-4*sqrt(225)))**2.
931/400
Simplify (((sqrt(108)/sqrt(3))/sqrt(9))/sqrt(2))**2 + -4 + ((sqrt(2)*-2)**2 + 1 - sqrt(10)/(2*sqrt(5))).
-sqrt(2)/2 + 7
Simplify 4*(2 + -4 + (1 + sqrt(1900) - 2*sqrt(38)/sqrt(2))).
-4 + 32*sqrt(19)
Simplify (sqrt(192) - sqrt(192)*-5*-4 - (sqrt(147) + -4)*-6)**2.
5280*sqrt(3) + 36876
Simplify (-2*sqrt(1584)*-5 + (sqrt(11) + (sqrt(66)/sqrt(2))/sqrt(3) - (sqrt(11) + 0)*-4))**2.
174636
Simplify 2*((sqrt(76) + sqrt(76) + -2*sqrt(76)*4)/(sqrt(144) - sqrt(4)))**2.
1368/25
Simplify -4*(3 + sqrt(1008)*-5 + 1 + sqrt(1008) + 4)**2.
-64768 + 3072*sqrt(7)
Simplify 4*(sqrt(1134) - (sqrt(1134) - sqrt(1134)*1)*6)/((sqrt(8) - (sqrt(8) + 2*sqrt(8) - sqrt(8)))*-3).
6*sqrt(7)
Simplify (4*sqrt(91)*-1)/((sqrt(21) + sqrt(525))/sqrt(3)) + 1.
-2*sqrt(13)/3 + 1
Simplify -5 + ((sqrt(304) - (-1 + sqrt(304))*-4 - sqrt(304) - sqrt(304))**2 - sqrt(304)*2*-6) + -1*(sqrt(304) + -1 + -2).
-52*sqrt(19) + 2750
Simplify -5 + (sqrt(38)/(sqrt(300)/sqrt(6)) - ((sqrt(1539) + -1)*-3)**2).
-13865 + 811*sqrt(19)/5
Simplify (sqrt(3744)*-3 - sqrt(3744))/(sqrt(288)*2 + sqrt(288) + sqrt(288) + sqrt(2) + sqrt(2)).
-24*sqrt(13)/25
Simplify 4*((sqrt(68) + 3*sqrt(68)*-3 + sqrt(68) - sqrt(68)) + -1)*3.
-192*sqrt(17) - 12
Simplify (sqrt(3520) - (sqrt(3520) + 3*sqrt(3520))*-4)/(-2*(sqrt(891) + sqrt(891)*3 - sqrt(891))).
-68*sqrt(5)/27
Simplify 6*(0 + ((sqrt(300) + -1)*-6 - sqrt(300)) + -2)**2*1.
-3360*sqrt(3) + 88296
Simplify (-4*((2 + (sqrt(343) + -1 - sqrt(343)) - (sqrt(343) + sqrt(343) + 1*sqrt(343) + 4)) + 3 + 4))**2.
-2688*sqrt(7) + 49648
Simplify -3 + (sqrt(128) - (sqrt(128) + 0))*3 - (0 + 4 + sqrt(128) + -1).
-8*sqrt(2) - 6
Simplify (-3*(sqrt(1408) + sqrt(1408)*3 - sqrt(1408)))/((sqrt(55) + -4*(sqrt(55) - sqrt(385)/sqrt(7)) + sqrt(55))/sqrt(5)).
-36*sqrt(2)
Simplify -1 + 3*(sqrt(55) - 1*(sqrt(55) - sqrt(495)))/(sqrt(1584) + sqrt(1584)*3 - sqrt(1584)).
-1 + sqrt(5)/4
Simplify 6*(1*2*(sqrt(44) - -2*sqrt(44)))/((sqrt(3564)*1)/sqrt(11)).
4*sqrt(11)
Simplify -3*(-2 + 6*(sqrt(91)/(-1*sqrt(7)) - sqrt(13)) + ((sqrt(52) + 5 - sqrt(13)) + -3)**2).
-45 + 24*sqrt(13)
Simplify ((-1*sqrt(110)*3)/(2*sqrt(10)*-5))**2.
99/100
Simplify 1*(3*(-2 + (sqrt(7) - (sqrt(7) + 4 + sqrt(63) - sqrt(7))) + 3) + -1)**2.
120*sqrt(7) + 352
Simplify -5*sqrt(176) + sqrt(44)*-2 - ((sqrt(132)/sqrt(4))/sqrt(3) + -5 + (sqrt(11) + 3)**2).
-31*sqrt(11) - 15
Simplify ((sqrt(735) + -1*sqrt(735) - sqrt(735))*-4)/((sqrt(15)*2)/sqrt(3) - (sqrt(80)/sqrt(4))/sqrt(4)).
28*sqrt(3)
Simplify 4 + (sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) - sqrt(77)*-2))*5) + sqrt(77))/((-2*sqrt(63))/sqrt(9)).
-13*sqrt(11)/2 + 4
Simplify (-3 + sqrt(1573) + 2 + sqrt(1573))**2 + -5*1*sqrt(13)*-1.
-39*sqrt(13) + 6293
Simplify 2 + (sqrt(833) + 6*(sqrt(833) + 1 + sqrt(833) + sqrt(833)))**2 + 0 + -2.
1596*sqrt(17) + 300749
Simplify ((2*sqrt(475) + 1 - sqrt(475)) + sqrt(475))**2 + 1 + (sqrt(76) + -1)**2.
16*sqrt(19) + 1979
Simplify -1*(((sqrt(88)*-1)/sqrt(8) + sqrt(1100)*1)*4*4)**2.
-228096
Simplify (-4 + (sqrt(171)/(sqrt(18)/sqrt(2)) - sqrt(19)) - (4 + ((sqrt(1900) - (sqrt(1900) - (sqrt(1900) + 0 + sqrt(1900)))) + sqrt(1900))**2))*1.
-17108
Simplify (-5 + 1*(sqrt(272)*3 + -1 + sqrt(272) + 4))**2 + -4.
-64*sqrt(17) + 4352
Simplify (sqrt(91) - 6*(sqrt(91) + -1*sqrt(91) + sqrt(91)) - (sqrt(91) - (sqrt(91)*2 + sqrt(91) + sqrt(91))*-6))/(-3*sqrt(112)*-3 - sqrt(112)).
-15*sqrt(13)/16
Simplify (sqrt(114)/(2*sqrt(6)) + 5)**2 - (2 + sqrt(1900)*-2)**2.
-30297/4 + 85*sqrt(19)
Simplify (sqrt(42)/(sqrt(12)/sqrt(2)) + sqrt(7) + 1 + -3 + -1*-1*2*(sqrt(7) - sqrt(112)))**2.
16*sqrt(7) + 116
Simplify (sqrt(18)*1*-1)/sqrt(6) + (sqrt(54)/(sqrt(4)/sqrt(2)))/sqrt(9).
0
Simplify -1 + ((sqrt(72)*-1 + sqrt(72) + sqrt(72) + sqrt(72))*2 - (-2*sqrt(72) - sqrt(72))*-6)**2.
14111
Simplify -3*(-3 + (-4 + 2*(sqrt(13) + 2 + 0 + sqrt(13)))**2).
-615
Simplify (sqrt(156)/(sqrt(12)/sqrt(4))*-2 + sqrt(624)/(sqrt(48)/sqrt(4)) + -3*sqrt(832))**2.
8788
Simplify (0 + sqrt(68))**2 + 4 + 1 + ((-4 + (sqrt(85)*2)/sqrt(5))*-5)**2.
-400*sqrt(17) + 2173
Simplify (1*sqrt(10)/sqrt(45) - (0 + -1*1*sqrt(2)))**2.
32/9
Simplify -1 + (sqrt(180) - 2*sqrt(180))**2 + sqrt(5) + 0 + 4.
sqrt(5) + 183
Simplify 4*((sqrt(684) + 3)*-1 - (-2 + -2*sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
.
2, 813
What is q in -4*q**3/5 + 16*q**2/5 + 48*q/5 = 0?
-2, 0, 6
Let -4*o**5 + 28*o**4 - 8*o**3 - 112*o**2 + 96*o = 0. What is o?
-2, 0, 1, 2, 6
Determine p, given that 2*p**2 + 28*p + 48 = 0.
-12, -2
Factor -20*r**3/3 + 1282*r**2/3 - 20608*r/3 + 2048/3.
-2*(r - 32)**2*(10*r - 1)/3
Determine b so that 31*b**3 + 33*b**2 - 60*b - 4 = 0.
-2, -2/31, 1
Factor -3*k**2/2 + 561*k.
-3*k*(k - 374)/2
Let 2*w**2/9 - 2716*w/9 + 2714/9 = 0. What is w?
1, 1357
Find f such that -15*f**2 - 380*f + 260 = 0.
-26, 2/3
Factor -3*x**2/5 + 6*x + 45.
-3*(x - 15)*(x + 5)/5
Solve y**5/6 + y**4/3 - y**2/3 - y/6 = 0 for y.
-1, 0, 1
Suppose 4*v**2/3 - 26*v - 40/3 = 0. What is v?
-1/2, 20
Let -5*h**2 - 400*h - 8000 = 0. What is h?
-40
Factor -5*l**2 + 280*l - 1920.
-5*(l - 48)*(l - 8)
Factor -5*u**3 - 45*u**2 + 200*u + 240.
-5*(u - 4)*(u + 1)*(u + 12)
Suppose 30*y**3 + 185*y**2 + 300*y + 45 = 0. What is y?
-3, -1/6
Suppose -v**2/3 + 551*v/3 - 366 = 0. What is v?
2, 549
Let -w**2/2 + 93*w/2 + 47 = 0. Calculate w.
-1, 94
Factor 5*w**2 + 65*w - 570.
5*(w - 6)*(w + 19)
Let -3*w**5 - 113*w**4 - 899*w**3 - 2527*w**2 - 2578*w - 840 = 0. What is w?
-28, -5, -3, -1, -2/3
Suppose -2*r**3/7 - 48*r**2/7 = 0. Calculate r.
-24, 0
Factor -3*i**2/2 - 69*i/2 + 75.
-3*(i - 2)*(i + 25)/2
Factor -4*z**3 + 252*z**2 + 1384*z - 1632.
-4*(z - 68)*(z - 1)*(z + 6)
Suppose 5*t**5 - 100*t**4 + 420*t**3 - 710*t**2 + 535*t - 150 = 0. Calculate t.
1, 2, 15
Suppose 3*w**2/2 + 60*w + 117/2 = 0. Calculate w.
-39, -1
Let -2*s**3/9 - 20*s**2/9 - 34*s/9 - 16/9 = 0. Calculate s.
-8, -1
Factor 2*x**4/13 + 4*x**3/13 - 38*x**2/13 - 40*x/13.
2*x*(x - 4)*(x + 1)*(x + 5)/13
Let 3*c**3/5 + 21*c**2/5 - 48*c/5 - 336/5 = 0. What is c?
-7, -4, 4
Factor k**5 - 3*k**4 + k**3 + 3*k**2 - 2*k.
k*(k - 2)*(k - 1)**2*(k + 1)
Solve 30*m**5 + 27*m**4 - 249*m**3 - 342*m**2 + 84*m + 72 = 0 for m.
-2, -2/5, 1/2, 3
Find w, given that 6*w**4 + 3*w**3 - 9*w**2 = 0.
-3/2, 0, 1
Solve -2*f**3 + 300*f**2 - 592*f = 0 for f.
0, 2, 148
Suppose i**4/10 + 29*i**3/5 + 167*i**2/10 + 11*i = 0. What is i?
-55, -2, -1, 0
Factor 2*t**2/9 + 142*t/3 + 424/9.
2*(t + 1)*(t + 212)/9
Find z such that -4*z**3 - 12*z**2 + 144*z - 128 = 0.
-8, 1, 4
Factor 4*o**2 + 188*o - 192.
4*(o - 1)*(o + 48)
Factor 5*h**4/6 + 55*h**3/6 + 45*h**2/2 + 125*h/6 + 20/3.
5*(h + 1)**3*(h + 8)/6
Determine j so that -4*j**2 - 4244*j - 4240 = 0.
-1060, -1
What is b in 5*b**5/4 + 85*b**4/4 + 155*b**3/2 - 245*b**2/2 - 315*b/4 + 405/4 = 0?
-9, -1, 1
Factor -4*q**2 - 392*q.
-4*q*(q + 98)
Factor c**2 + 144*c.
c*(c + 144)
Factor -123*s**2/5 - 372*s/5 - 9/5.
-3*(s + 3)*(41*s + 1)/5
Determine s, given that 2*s**5/13 + 84*s**4/13 - 36*s**3 + 136*s**2/13 + 1938*s/13 - 1692/13 = 0.
-47, -2, 1, 3
Solve -2*f**5/7 - 6*f**4/7 + 46*f**3/7 - 66*f**2/7 + 4*f = 0 for f.
-7, 0, 1, 2
Factor -2*a**3 + 244*a**2 - 242*a.
-2*a*(a - 121)*(a - 1)
Solve -15*z**3/8 + 21*z**2/4 - 27*z/8 = 0 for z.
0, 1, 9/5
Find f such that -f**3/9 - 61*f**2/3 - 542*f/9 - 40 = 0.
-180, -2, -1
Factor 3*f**2/5 + 42*f/5 - 9.
3*(f - 1)*(f + 15)/5
Let -2*a**5/13 - 8*a**4/13 + 38*a**3/13 - 28*a**2/13 = 0. What is a?
-7, 0, 1, 2
Solve -4*x**5/5 - 736*x**4/5 - 9077*x**3 - 952759*x**2/5 - 919087*x/5 - 226981/5 = 0.
-61, -1/2
Find g, given that -g**4/5 - 4*g**3/5 + 4*g**2/5 + 16*g/5 = 0.
-4, -2, 0, 2
Suppose 36*i**4 + 48*i**3 - 8*i**2 - 16*i + 4 = 0. What is i?
-1, 1/3
Solve 2*f**5/11 - 654*f**4/11 - 6*f**3/11 + 178*f**2 + 1308*f/11 = 0.
-1, 0, 2, 327
Factor -5*y**2 + 55*y - 140.
-5*(y - 7)*(y - 4)
Factor -4*d**2 + 1044*d - 1040.
-4*(d - 260)*(d - 1)
Suppose -3*p**4/8 + 21*p**3/8 - 45*p**2/8 + 39*p/8 - 3/2 = 0. Calculate p.
1, 4
Factor 3*g**2/5 - 1167*g/5 - 1182.
3*(g - 394)*(g + 5)/5
Factor -148*k**3 - 2660*k**2 + 2884*k - 76.
-4*(k - 1)*(k + 19)*(37*k - 1)
Factor r**4/7 + 27*r**3/7 + 26*r**2/7.
r**2*(r + 1)*(r + 26)/7
Suppose -9604*k**5 + 48804*k**4 - 23144*k**3 - 75184*k**2 + 6240*k - 128 = 0. What is k?
-1, 2/49, 2, 4
Determine m, given that -14*m**5/5 - 74*m**4/5 + 358*m**3/5 + 1522*m**2/5 + 1384*m/5 + 56 = 0.
-7, -2, -1, -2/7, 5
Factor 5*x**4 + 3490*x**3 - 7020*x**2 - 13960*x + 28000.
5*(x - 2)**2*(x + 2)*(x + 700)
Solve 40*y**4 + 214*y**3 - 792*y**2 + 440*y - 64 = 0 for y.
-8, 1/4, 2/5, 2
What is v in -2*v**4/13 + 20*v**3/13 + 22*v**2/13 = 0?
-1, 0, 11
Factor c**3/5 - 2*c**2 - 24*c/5.
c*(c - 12)*(c + 2)/5
Find y such that -70*y**5/13 - 358*y**4/13 + 38*y**3/13 + 398*y**2/13 + 32*y/13 - 40/13 = 0.
-5, -1, -2/5, 2/7, 1
Factor 3*s**2 - 30*s - 513.
3*(s - 19)*(s + 9)
Let 4*c**2 - 11064*c - 22144 = 0. Calculate c.
-2, 2768
Let -b**4 - 46*b**3 - 480*b**2 + 1152*b = 0. Calculate b.
-24, 0, 2
Find h, given that 2*h**3/11 + 386*h**2/11 + 18032*h/11 - 57624/11 = 0.
-98, 3
Factor 2*x**5 - 1538*x**4 + 393212*x**3 - 33158140*x**2 - 67502078*x - 33949186.
2*(x - 257)**3*(x + 1)**2
Factor 2*l**3/11 - 1074*l**2 + 17452230*l/11 - 17440418/11.
2*(l - 2953)**2*(l - 1)/11
Let 4*u**4 - 80*u**3 + 308*u**2 + 968*u = 0. Calculate u.
-2, 0, 11
Let r**5/2 - 21*r**4/4 + 16*r**3 - 63*r**2/4 + 9*r/2 = 0. Calculate r.
0, 1/2, 1, 3, 6
What is u in -u**4/5 + 2*u**2/5 - 1/5 = 0?
-1, 1
Factor 5*s**3 + 495*s**2 + 12000*s - 12500.
5*(s - 1)*(s + 50)**2
Determine r, given that -2*r**4/7 - 20*r**3/7 - 30*r**2/7 + 20*r/7 + 32/7 = 0.
-8, -2, -1, 1
Solve 2*x**5 - 32*x**4 + 170*x**3 - 300*x**2 - 72*x + 432 = 0 for x.
-1, 2, 3, 6
Factor -2*x**3/15 + 6*x**2/5.
-2*x**2*(x - 9)/15
Find a such that 2*a**3/5 + 64*a**2/5 + 214*a/5 - 56 = 0.
-28, -5, 1
Factor 2*q**2/15 - 52*q/5 - 166/3.
2*(q - 83)*(q + 5)/15
Determine z, given that z**4/4 - 23*z**3 + 1011*z**2/2 + 1081*z + 2209/4 = 0.
-1, 47
Solve 3*x**5/2 + 27*x**4/2 + 39*x**3 + 27*x**2 - 81*x/2 - 81/2 = 0.
-3, -1, 1
Factor -k**3 - 82*k**2 + 171*k + 252.
-(k - 3)*(k + 1)*(k + 84)
Factor -5*x**3 + 630*x**2 + 1925*x + 1290.
-5*(x - 129)*(x + 1)*(x + 2)
Find q, given that 5*q**2 + 5510*q + 1518005 = 0.
-551
Let l**4/2 - 3*l**3 + 3*l**2/2 + 5*l = 0. Calculate l.
-1, 0, 2, 5
Find z, given that 3*z**4/5 + 4329*z**3/5 + 2082249*z**2/5 + 333853923*z/5 = 0.
-481, 0
Determine f so that f**2 + 4*f + 3 = 0.
-3, -1
Factor l**2 + 35*l - 450.
(l - 10)*(l + 45)
Factor -q**3/8 + 109*q**2/8 + 221*q/8 + 111/8.
-(q - 111)*(q + 1)**2/8
Suppose 2*f**4 = 0. What is f?
0
Factor -3*j**3/5 - 63*j**2/5 - 357*j/5 - 117.
-3*(j + 3)*(j + 5)*(j + 13)/5
Determine g, given that -3*g**2 - 54*g - 195 = 0.
-13, -5
Factor -u**5 - 32*u**4 - 352*u**3 - 1360*u**2 + 400*u + 8000.
-(u - 2)*(u + 4)*(u + 10)**3
Suppose 2*m**2/11 + 102*m/11 - 104/11 = 0. What is m?
-52, 1
Factor f**4/7 - 10*f**3/7 + 33*f**2/7 - 36*f/7.
f*(f - 4)*(f - 3)**2/7
Factor 3*b**2 + 150*b - 825.
3*(b - 5)*(b + 55)
What is r in 2*r**3 - 21*r**2/2 + 18*r - 10 = 0?
5/4, 2
Factor 4*b**3/13 - 6*b**2/13 - 16*b/13 - 6/13.
2*(b - 3)*(b + 1)*(2*b + 1)/13
Solve 4*s**2/3 + 232*s/3 - 420 = 0 for s.
-63, 5
Find p such that -5*p**2 + 1285*p - 1280 = 0.
1, 256
Suppose 4*m**2 + 928*m + 924 = 0. Calculate m.
-231, -1
Let 3*d**4 - 69*d**3 - 315*d**2 - 243*d = 0. Calculate d.
-3, -1, 0, 27
Determine k, given that k**5/4 - 5*k**4/4 + k**3/4 + 13*k**2/4 - k/2 - 2 = 0.
-1, 1, 2, 4
Factor 2*x**2/3 + 150*x.
2*x*(x + 225)/3
What is i in -6*i**4/5 + 27*i**3/5 - 27*i**2/5 - 3*i/5 + 9/5 = 0?
-1/2, 1, 3
Factor -2*i**2 - 42*i - 40.
-2*(i + 1)*(i + 20)
Factor u**5 - 16*u**4 + 46*u**3 + 144*u**2 + 81*u.
u*(u - 9)**2*(u + 1)**2
Factor u**2/2 - 5*u/2 - 7.
(u - 7)*(u + 2)/2
Find k such that -k**3/2 + 335*k**2/2 + 847*k + 1020 = 0.
-3, -2, 340
Factor 3*u**4 - 15*u**3 - 3*u**2 + 15*u.
3*u*(u - 5)*(u - 1)*(u + 1)
Find j, given that 45*j**3 - 7620*j**2 - 5095*j - 850 = 0.
-1/3, 170
Factor f**5 + 2*f**4/5 - 6*f**3 - 52*f**2/5 - 31*f/5 - 6/5.
(f - 3)*(f + 1)**3*(5*f + 2)/5
Factor -v**3 - 176*v**2 - 7565*v + 15842.
-(v - 2)*(v + 89)**2
Determine d so that d**2 + 316*d + 24964 = 0.
-158
Solve r**2/6 - 239*r/6 - 241/3 = 0.
-2, 241
Let -3*d**3/4 + 6*d**2 + 33*d + 36 = 0. What is d?
-2, 12
Let 54*c**5 - 1596*c**4 - 760*c**3 + 1200*c**2 = 0. What is c?
-10/9, 0, 2/3, 30
Determine w so that -70*w**5/3 - 1072*w**4/3 + 6080*w**3/3 - 9376*w**2/3 + 4448*w/3 - 640/3 = 0.
-20, 2/7, 2/5, 2
Factor 5*v**2 - 55*v.
5*v*(v - 11)
Factor 2*p**5 + 10*p**4 + 6*p**3 - 18*p**2.
2*p**2*(p - 1)*(p + 3)**2
Find z such that 3*z**4 - 3*z**3 - 21*z**2 + 3*z + 18
|
{
"pile_set_name": "DM Mathematics"
}
|
*a**4 + 1157 - 1157 + 21*a**2 wrt a.
-432*a
Let k(r) be the first derivative of 41*r**7/70 - 85*r**3/6 + 37*r**2 - 67. Let o(i) be the second derivative of k(i). What is the derivative of o(d) wrt d?
492*d**3
Find the second derivative of -1343*z + 184*z - 1895*z**2 + 98*z - 99*z**2 wrt z.
-3988
Let a be -8 - (-20 - -6) - 4. What is the third derivative of -12*v**3 - 98*v**a - 156*v**4 - 86*v**3 + 80*v**4 + 77*v**4 wrt v?
24*v - 588
Let t = -53 - -85. Differentiate -52*z**3 + 211 - 13*z**3 - 33*z**3 - t*z**3 - 40*z**3 with respect to z.
-510*z**2
Suppose -3*x - 15 = 2*f - 108, 5*x - 189 = -4*f. Find the third derivative of -20*r**3 + 97*r**2 + f*r**3 + 75*r**2 - 101*r**2 wrt r.
186
Let a(t) be the second derivative of 97*t**7/7 + 1225*t**4/6 - 708*t. What is the third derivative of a(p) wrt p?
34920*p**2
Let g = 11 + -9. Let o be 4*g + -6 + 3. Find the third derivative of 2*h**2 + 17*h**2 + 28*h**o - 7*h**2 wrt h.
1680*h**2
Let d(s) be the first derivative of 43*s + 14/5*s**5 + 0*s**3 + 32 + 0*s**4 + 0*s**2. Find the first derivative of d(v) wrt v.
56*v**3
Let z be 12 + -3 + 20 + -13. Find the third derivative of -22*q**2 - z*q**6 + 10*q**6 - 9 - 13*q**5 + 6 + 3 wrt q.
-720*q**3 - 780*q**2
Find the second derivative of -10*t**2 + 9*t**4 + 92 + 173*t**2 + 19*t - 7*t**2 - 156*t**2 + 688*t**3 wrt t.
108*t**2 + 4128*t
Let u = -1 - -3. Suppose -2*x + 5 = -q, 0 = 4*q - q + 15. Differentiate x + 17 - 8 - u*b**3 with respect to b.
-6*b**2
Suppose -16*f + 10*f = -1326. What is the third derivative of -169*n**4 + 18*n**4 - 262*n**2 - 1 + f*n**2 wrt n?
-3624*n
Let f(m) be the second derivative of -7093*m**4/12 - 3833*m**2/2 + 4967*m. What is the derivative of f(h) wrt h?
-14186*h
Let m(b) be the second derivative of 294*b + 63/2*b**2 + 55/6*b**3 + 0. Differentiate m(i) with respect to i.
55
What is the third derivative of -a - 7*a**2 + 34 - 119 + 35*a**2 - 18*a**2 - 9*a**2 - 675*a**3 wrt a?
-4050
Let n(d) be the second derivative of -71*d**6/120 + 89*d**3/6 - 42*d**2 + 40*d. Let l(a) be the first derivative of n(a). Differentiate l(s) with respect to s.
-213*s**2
Let t(r) = -2171*r**3 - 5*r**2 + 5*r - 1300. Let n(g) = 2168*g**3 + 4*g**2 - 4*g + 1302. Let l(v) = 5*n(v) + 4*t(v). Find the first derivative of l(x) wrt x.
6468*x**2
Let j(r) be the second derivative of -7*r**6/15 - 41*r**5/20 - 13*r**2 + 957*r. Differentiate j(u) wrt u.
-56*u**3 - 123*u**2
Let p(t) = -2049*t - 2804. Let g(a) = -2050*a - 2767. Let l(n) = 7*g(n) - 6*p(n). Differentiate l(o) wrt o.
-2056
Let z(w) = -683*w**3 - 5*w**2 - 25*w + 1159. Let y(d) = d**3 + d**2 + 5*d - 1. Let c(f) = -5*y(f) - z(f). Differentiate c(p) wrt p.
2034*p**2
Find the third derivative of -1412*j**6 - 8619*j**3 - 991*j**6 + 8619*j**3 - 2216*j**2 wrt j.
-288360*j**3
Let u(c) be the first derivative of -19/2*c**4 - 1/7*c**7 + 0*c**5 + 46 + c - 2/3*c**3 + 0*c**6 + 0*c**2. What is the third derivative of u(s) wrt s?
-120*s**3 - 228
Suppose 4*o = -4*g + 16, 0 = -3*o - 5*g + 6 + 4. Find the third derivative of -z**3 - z**5 - 293*z**6 + 0*z**o + 160*z**2 + 271*z**6 + z**3 wrt z.
-2640*z**3 - 60*z**2
Let k(n) = -106*n + 25. Let j(x) be the first derivative of 317*x**2/2 - 77*x - 23. Let w(d) = -2*j(d) - 7*k(d). Differentiate w(i) with respect to i.
108
Let d(q) be the second derivative of 12*q**4 + 13/42*q**7 + 7/30*q**6 + 0*q**5 + 1/6*q**3 + 5*q + 9 + 0*q**2. What is the third derivative of d(r) wrt r?
780*r**2 + 168*r
Let u(g) be the second derivative of 25/6*g**3 + 0 - 14*g**2 - 26*g + 3/2*g**4. Let r(x) be the first derivative of u(x). What is the derivative of r(y) wrt y?
36
Suppose -j = 5*p + 3, -4*p + 6*p = 4*j - 10. Find the first derivative of 9*w**3 - 905*w**2 + 20*w**3 + 905*w**j - 108 wrt w.
87*w**2
What is the third derivative of 1358*b**3 + 3068*b**3 - 3591*b**2 - 1269*b**3 + 7347*b**2 wrt b?
18942
Let t(w) be the second derivative of -w**5/10 + 343*w**4/12 + 319*w**3/2 + 3*w + 391. What is the second derivative of t(p) wrt p?
-12*p + 686
Let u = -306 + 331. What is the second derivative of -6*q**5 - 23*q**3 + 2*q - 4*q + 17*q**3 + u wrt q?
-120*q**3 - 36*q
Suppose 0 = -17*p + 61 + 143. What is the second derivative of 9*t - 4*t**3 - 15*t**2 + p*t**2 - 2*t**3 - 6*t**2 - 7 + 0*t**3 wrt t?
-36*t - 18
Find the first derivative of -1693 + 4*m**2 - 4*m**2 + 547926*m**3 - 549248*m**3 wrt m.
-3966*m**2
Differentiate 9088 - 15*o**2 - 780844*o - 70*o**2 + 780809*o wrt o.
-170*o - 35
Let h(c) be the first derivative of 773*c**4/2 + 1772*c**3/3 - 5303. Find the third derivative of h(j) wrt j.
9276
Suppose 14*u - 1462 = -29*u. Find the first derivative of -17*r - r**2 - 129 + u + 71*r + 71*r wrt r.
-2*r + 125
Let p(n) be the second derivative of -61*n**5/20 + 2*n**3/3 + 2955*n**2 + 7739*n. What is the first derivative of p(f) wrt f?
-183*f**2 + 4
Find the third derivative of 76*h - 77*h + 1204*h**2 + 503*h**2 - 460*h**2 - 1 + 36*h**4 - 534*h**4 wrt h.
-11952*h
Let i be 70/140*(-10)/(-4). Let x(q) be the first derivative of 8 + 4/3*q**3 - i*q**4 + 0*q + 0*q**2. What is the third derivative of x(s) wrt s?
-30
Let d(z) = 7 - 6*z**3 - 7*z**3 + 12*z**3 - 2*z. Let h be d(-4). Differentiate 24 - 4 + 82*x**3 - h*x**3 wrt x.
9*x**2
Differentiate 21*f**2 - 71 - 592 - 17*f**2 - 97 + 8*f + 28*f**2 with respect to f.
64*f + 8
Find the third derivative of 19*w**2 - 114 + 22*w**2 + 14*w**2 - 51*w**2 - 210*w**4 wrt w.
-5040*w
Suppose 17 = 4*r + 5*s, 2*r = -4*s - s + 11. Suppose -r*j + 6 = -3. What is the third derivative of 0*i**4 + j*i**2 + 0*i**4 + 15*i**4 wrt i?
360*i
Differentiate 524728 - 1234*t - 254429 - 259814 + 14042*t wrt t.
12808
What is the second derivative of -33*m + 109*m + 350*m**2 - 1 + 268*m**2 + 176*m**2 wrt m?
1588
Differentiate 6811*t**3 - 277 - 9*t + 42*t - 14*t - 19*t with respect to t.
20433*t**2
Let n(q) = -75*q**2 + 81*q - 9. Let d(f) be the third derivative of f**3/6 + 2*f**2 - 8. Let w(l) = 9*d(l) + n(l). What is the second derivative of w(o) wrt o?
-150
What is the third derivative of 18 - 59*h**5 - 19 + 461*h - 4165*h**5 + 2008*h**2 - 461*h wrt h?
-253440*h**2
Let c(v) = 1575*v**3 - 8*v**2 + 1711*v. Let q(w) = -1573*w**3 + 6*w**2 - 1713*w. Let o(j) = 3*c(j) + 4*q(j). What is the second derivative of o(k) wrt k?
-9402*k
Suppose 0*m + 2*m = 64. Suppose -159 = h - 164. What is the third derivative of -13*p**h + m*p**5 - 20*p**5 + 14*p**2 wrt p?
-60*p**2
What is the second derivative of -460*d - 55*d**3 - 119*d**3 - 1086774*d**4 + 1086776*d**4 wrt d?
24*d**2 - 1044*d
Let q(m) = m**3 + 24*m**2 + m + 31. Let r be q(-24). Find the third derivative of -r*z - 4*z**2 - 4*z**2 + 102*z**4 - 36*z + 9*z**2 wrt z.
2448*z
Suppose -39*i + 16 = -31*i. Find the third derivative of 315*j - 315*j + 101*j**5 - i + 62*j**2 wrt j.
6060*j**2
What is the second derivative of -70*c - 61*c + 126*c - 7 - 20*c + 1728*c**2 - 85*c wrt c?
3456
Let r(s) be the second derivative of 443*s**3/3 - 436*s**2 - s + 1868. Differentiate r(h) wrt h.
886
Let g(o) be the third derivative of 5*o**8/28 + o**4/24 + 47*o**3/3 - 2819*o**2. Find the second derivative of g(z) wrt z.
1200*z**3
Let k(u) = 97*u**4 + 106*u**2 + 8. Let h(g) = -16 - 71*g**2 - 78*g**4 + 13*g**4 + 11. Let j(w) = -8*h(w) - 5*k(w). Find the third derivative of j(o) wrt o.
840*o
Let g(d) = d**2 - 21*d + 118. Let w be g(11). Find the second derivative of 3*o**2 + w*o**2 + 45*o - 11*o**2 + o**3 + 1 - 5*o**4 wrt o.
-60*o**2 + 6*o
What is the derivative of -1035*v**4 - 1036576*v**2 + 1036576*v**2 + 141 wrt v?
-4140*v**3
Let i(v) be the second derivative of -2*v**5/5 - 13*v**4/4 + 487*v**2/2 + 1416*v. Find the first derivative of i(f) wrt f.
-24*f**2 - 78*f
Let o be (10 + -5 - -4) + -7. What is the first derivative of 177*t**o + 422 - 756 + 368 + t wrt t?
354*t + 1
Let p be (2/10)/(12/60). Let i be p*5 - (8 + -5). What is the second derivative of 11*o**i - 4*o**2 - 7*o - 7*o**2 - 8*o**4 wrt o?
-96*o**2
Suppose 51*t - 59 = 3*t + 85. Let f(d) be the first derivative of -2/3*d**t - 5 - 17/4*d**4 + 0*d + 0*d**2. Find the third derivative of f(r) wrt r.
-102
Let p(b) = -911*b**2 + 5*b + 5122. Let i(x) = 4552*x**2 - 26*x - 25606. Let s(l) = 4*i(l) + 21*p(l). Differentiate s(g) wrt g.
-1846*g + 1
Let l(u) be the third derivative of -120*u**2 + 1/60*u**5 + 25/3*u**3 + 0*u + 31/24*u**4 + 0. W
|
{
"pile_set_name": "DM Mathematics"
}
|
et s(z) = -z**2 - 2*z - 3. What is s(-2)?
-3
Let a(m) = 5*m - 6. Calculate a(6).
24
Let b(l) = -l**3 + 16*l**2 + 21*l - 16. Give b(17).
52
Let v(o) = o**3 + 6*o**2 + 8*o - 2. Give v(-2).
-2
Let i(p) = p**3 + 10*p**2 - 12*p. What is i(-11)?
11
Let l(g) = 3*g**3 + 2*g**2 + 5*g + 4. Calculate l(-2).
-22
Let x(h) = 6*h**2 + 2*h + 2. What is x(-1)?
6
Let s(f) = -f**2 - 4*f - 5. What is s(-2)?
-1
Let a(f) = 14*f - 201. Calculate a(15).
9
Let w(d) = -d**3 + d**2 + d + 4. Calculate w(-3).
37
Let c(v) = 3*v - 6. What is c(3)?
3
Let a(y) = 2*y**3 - 9*y**2 + y + 4. Calculate a(4).
-8
Let h(j) = -2*j - 20. What is h(-6)?
-8
Let w(n) = -n**2 + 8*n + 15. What is w(8)?
15
Let t(r) = 20*r - 170. What is t(8)?
-10
Let z(p) = -p**3 + 3*p**2 + 13*p + 17. Calculate z(6).
-13
Let v(z) = -z**2 - 13*z + 39. Calculate v(3).
-9
Let z(l) = -l**3 - 7*l**2 + 146*l + 32. Calculate z(-16).
0
Let b(l) = 10*l - 4. Determine b(-2).
-24
Let x(f) = -f**2 + 7*f + 8. Give x(6).
14
Let s(h) = -3*h - 31. What is s(-11)?
2
Let s(v) = 15*v - 42. Calculate s(5).
33
Let o(v) = -v**3 + 10*v**2 - 21*v - 13. Determine o(6).
5
Let r(i) = 4*i**2 - 4*i + 4. Calculate r(3).
28
Let w(p) = 16*p. Calculate w(-1).
-16
Let t(u) = -3*u**2 + 20*u - 42. Calculate t(5).
-17
Let b(u) = 6*u**2 - 97*u + 38. Determine b(16).
22
Let s(h) = h**2 + 4*h - 4. Give s(0).
-4
Let k(a) = a + 10. Determine k(-5).
5
Let x(y) = 2*y**3 - y**2 - 2*y - 1. Determine x(-1).
-2
Let j(d) = d**3 + 11*d**2 + 25*d + 10. Give j(-8).
2
Let d(a) = -a**3 - 11*a**2 - 18*a + 7. What is d(-9)?
7
Let o(w) = w**3 - w**2 - 3. Give o(2).
1
Let z(j) = -105*j**3 + j**2 - 2*j + 1. Calculate z(1).
-105
Let f(n) = -3*n + 5. What is f(4)?
-7
Let s(a) = a**2 + a + 6. Calculate s(6).
48
Let r(p) = 5*p - 23. What is r(3)?
-8
Let f(z) = -z**3 + 26*z**2 - 47*z - 33. Determine f(24).
-9
Let b(i) = i**2 + 2*i - 38. Calculate b(0).
-38
Let r(b) = 3*b**2 + 12*b - 12. Calculate r(-5).
3
Let v(d) = -d**2 - 8*d + 84. Determine v(-11).
51
Let o(u) = 2*u + 13. Determine o(-10).
-7
Let u(i) = 2*i**2 - 38*i - 4. Give u(19).
-4
Let v(q) = -q**3 - 8*q**2 + 10*q + 13. Give v(-9).
4
Let z(k) = -5*k**2 - 9*k + 76. Determine z(6).
-158
Let i(d) = 7*d - 6. What is i(4)?
22
Let t(q) = -q**2 - 3*q - 3. What is t(-7)?
-31
Let w(j) = -j**3 + 18*j**2 + 16*j + 27. Determine w(19).
-30
Let d(j) = -j + 9. Determine d(8).
1
Let n(z) = -z**2 + 2*z + 19. What is n(4)?
11
Let a(i) = i**2 - 9*i + 21. Give a(8).
13
Let k(p) = 3*p + 7. Give k(-3).
-2
Let b(s) = 9*s + 148. What is b(-14)?
22
Let m(j) = j**2 + 22*j + 92. Calculate m(-10).
-28
Let w(b) = -b**3 - 4. Calculate w(0).
-4
Let t(m) = -6*m + 2. Give t(-1).
8
Let u(v) = -2*v**2 + 16*v - 3. What is u(8)?
-3
Let w(f) = f**2 - 16*f + 55. Determine w(10).
-5
Let l(h) = -8*h**3 - 4*h**2 - 5*h - 4. Calculate l(-2).
54
Let l(v) = 2*v**2 - v + 2. Determine l(-2).
12
Let z(v) = -v**2 + 35*v - 168. Determine z(29).
6
Let q(p) = p**2 - 48*p + 233. Calculate q(5).
18
Let k(p) = -9*p - 382. What is k(-43)?
5
Let h(i) = 2*i - 18. Calculate h(3).
-12
Let t(g) = -g**3 - 15*g**2 - 15*g - 23. Determine t(-14).
-9
Let f(l) = -4*l. Give f(7).
-28
Let h(c) = -2*c**2 + c + 2. What is h(-2)?
-8
Let b(k) = -7*k + 8. What is b(8)?
-48
Let g(z) = 2*z**2 - 50*z + 106. Give g(23).
14
Let l(n) = -n**2 + 7*n - 4. Determine l(3).
8
Let x(h) = h + 6. Give x(20).
26
Let z(f) = -f**2 + 8*f - 4. What is z(8)?
-4
Let s(w) = -2*w**2 + 6*w + 14. Give s(6).
-22
Let k(f) = f**3 + 7*f**2 - 23. Determine k(-6).
13
Let u(n) = -2*n - 1. Calculate u(-4).
7
Let g(m) = -13*m + 71. What is g(7)?
-20
Let r(p) = -3*p + 36. Give r(15).
-9
Let a(w) = -w**2 + 9*w - 2. What is a(4)?
18
Let n(q) = q**3 + 8*q**2 - 7. Give n(-8).
-7
Let p(q) = -q**2 + 14*q + 56. Determine p(17).
5
Let a(o) = 20*o - 91. Calculate a(4).
-11
Let y(r) = -r**3 - 3*r**2 + 2*r - 23. Determine y(-5).
17
Let g(d) = d**3 - 3*d**2 - 14*d - 5. Calculate g(-4).
-61
Let w(i) = -i**2 - 24*i - 104. What is w(-18)?
4
Let r(t) = -t**2 - 20*t - 72. Calculate r(-15).
3
Let t(r) = -r**3 - 23*r**2 - 61*r - 15. What is t(-20)?
5
Let d(v) = v - 15. Determine d(22).
7
Let p(j) = -2*j. What is p(0)?
0
Let x(f) = 2*f - 6. What is x(-5)?
-16
Let s(j) = 6*j - 50. Determine s(7).
-8
Let k(s) = -s**3 - 5*s**2 + 2*s + 18. What is k(-4)?
-6
Let m(i) = -i**3 + 14*i**2 - 16. Determine m(14).
-16
Let w(n) = 11*n**2 - 27*n + 4. Calculate w(2).
-6
Let o(d) = d**2 + 8*d + 8. What is o(-6)?
-4
Let y(s) = 29*s + 12. Calculate y(0).
12
Let o(f) = f**2 - 14*f + 9. Determine o(11).
-24
Let g(j) = 7*j + 5. Determine g(8).
61
Let r(f) = 13*f**2 + f + 1. What is r(-2)?
51
Let j(b) = -b**3 - 10*b**2 - 2*b - 3. What is j(-9)?
-66
Let s(p) = -29*p - 65. What is s(-10)?
225
Let c(o) = o**3 + 39*o**2 - 40*o + 10. Determine c(-40).
10
Let d(z) = z**3 - 29*z**2 - 27*z - 80. What is d(30)?
10
Let n(b) = 12*b + 123. Give n(-10).
3
Let l(z) = -23*z + 1. Calculate l(-3).
70
Let y(i) = -i**3 + 73*i**2 - 70*i - 153. Give y(72).
-9
Let i(k) = k**2 - 22*k - 40. Determine i(23).
-17
Let a(d) = -d**2 + 13*d - 20. Give a(10).
10
Let t(o) = o**2 - 8*o + 14. What is t(10)?
34
Let q(s) = -s**2 - 7*s - 21. Give q(-5).
-11
Let m(c) = -c**3 + 4*c**2 - 1. Give m(3).
8
Let s(i) = i**3 - 9*i**2 + 19*i - 17. Give s(5).
-22
Let n(o) = o**3 - 12*o**2 + 13*o - 18. Give n(11).
4
Let p(y) = -y**2 + 10*y - 9. Calculate p(7).
12
Let d(v) = -v**2 + v + 14. Give d(-6).
-28
Let v(b) = 2*b**3 - b**2 + 4*b - 8. Calculate v(3).
49
Let d(j) = -2*j - 27. Determine d(-11).
-5
Let w(y) = 3*y - 2. Give w(4).
10
Let x(z) = -46*z - 728. Give x(-16).
8
Let y(q) = -2*q - 15. Give y(-12).
9
Let j(u) = -u - 41. What is j(37)?
-78
Let u(o) = 38*o + 9. What is u(-1)?
-29
Let t(w) = w**3 + 3*w**2 + 2. Give t(-2).
6
Let z(r) = 2*r**3 - 29*r**2 + 16*r - 33. Determine z(14).
-5
Let j(l) = 14*l**2 + 6*l + 6. What is j(-1)?
14
Let h(s) = s**2 + 5*s - 3. Give h(-6).
3
Let z(v) = -3*v - 31. Give z(-11).
2
Let h(v) = 6*v**2 - 3*v + 1. Determine h(2).
19
Let q(b) = b**2 - 3*b - 10. Determine q(5).
0
Let t(h) = -19*h + 2. Give t(7).
-131
Let y(g) = 7*g**2 - 3*g - 15. Give y(-2).
19
Let g(q) = -3*q - 2. Give g(10).
-32
Let g(i) = i**3 - 3*i**2 - 8*i + 10. What is g(4)?
-6
Let s(w) = -3*w + 3. What is s(1)?
0
Let q(g) = 3*g**3 - g**2 - 5*g - 2. Determine q(-2).
-20
Let q(h) = -h**2 + 8*h - 8. Determine q(8).
-8
Let b(c) = c**3 - 11*c**2 + 24*c - 14. Give b(8).
-14
Let v(c) = -6*c - 74. What is v(-13)?
4
Let b(w) = -4*w + 11. What is b(5)?
-9
Let l(b) = -37*b**2 - 6*b - 6. Determine l(-2).
-142
Let m(y) = 2*y**2 - 6*y - 3. Give m(4).
5
Let y(j) = -j**2 - 49*j + 136. Give y(3).
-20
Let j(w) = -w**3 - 5*w**2 - 7. Give j(0).
-7
Let o(z) = -2*z - 24. What is o(-10)?
-4
Let b(z) = 10*z - 3. Give b(-4).
-43
Let v(y) = 2*y - 4. Give v(0).
-4
Let w(i) = -2*i**2 + 2. Give w(3).
-16
Let l(x) = -x**3 - x**2 + 9*x - 8. Give l(-6).
118
Let b(j) = -2*j**2 + 9*j + 12. Give b(6).
-6
Let t(n) = 30*n - 98. What is t(3)?
-8
Let v(c) = 23*c + 137. Give v(-6).
-1
Let h(o) = -64*o**3 + o**2 + o - 1. What is h(1)?
-63
Let y(z) = -z**2 + z. What is y(-1)?
-2
Let r(w) = w**3 + 11*w**2 + 6*w - 6. Give r(-10).
34
Let c(j) = j**2 - 12*j + 30. What is c(9)?
3
Let o(f) = -f**2 - f + 68. Give o(0).
68
Let p(n) = -87*n**3 + 5*n**2 - 3*n - 2. Calculate p(1).
-87
Let j(k) = 4*k - 12. Calculate j(6).
12
Let f(g) = 2*g**2 - 39*g + 19. Give f(19).
0
Let o(q) = 2*q + 30. Determine o(-16).
-2
Let t(z) = z**3 - 6*z**2 + 13*z - 17. Determine t(4).
3
Let v(t) = -t**3 - 9*t**2 - 9. What is v(-9)?
-9
Let q(j) = -j**3 + 4*j**2 + 6*j - 4. What is q(5)?
1
Let a(b) = -b**3 + 20*b**2 - 18*b - 24. What is a(19)?
-5
Let m(n) = -2*n - 31. Calculate m(0).
-31
Let t(j) = -16*j - 23. Calculate t(-5).
57
Let t(s) = s**2 + 41*s - 116. Give t(-44).
16
Let b(r) = 5*r + 14. Calculate b(-3).
-1
Let k(x) = -13*x**3 + 3*x + 2. Calculate k(-1).
12
Let q(l) = -2*l + 8. Determine q(6).
-4
Let t(c) = c**2 - 6*c - 30. Calculate t(11).
25
Let s(b) = b**2 + 16*b - 22. Calculate s(-17).
-5
Let x(p) = -6*p**2 + p + 1. Give x(-1).
-6
Let n(s) = -3*s**2 + 65*s - 98. Calculate n(20).
2
Let a(p) = -p**3 - 12*p**2 - 12*p - 9. Determine a(-11).
2
Let z(n) = -n**3 + 32*n**2 + 32*n + 36. What is z(33)?
3
Let k(b) = 5*b + 70. Give k(-17).
-15
Let a(o) = 2*o**3 + 49*o**2 + 25*o + 30. G
|
{
"pile_set_name": "DM Mathematics"
}
|
- 514 = -4*k. Let q(b) = -2*b - 3. Give o*y(t) - 7*q(t).
2*t + 3
Let w(s) = 2*s**3 + 22*s**2 + 20*s + 20. Let m(z) = z**3 + 7*z**2 + 7*z + 7. Suppose 5*t + 4*a = 21, -2*a = -12*t + 14*t - 8. Calculate t*w(p) - 14*m(p).
-4*p**3 + 12*p**2 + 2*p + 2
Let g(c) = -3*c**2 + 2. Let o(s) = 13*s**2 - s - 8. Let y(k) = k**2 + 6*k - 47. Let p be y(-18). Suppose -9 = -168*i + p*i. Determine i*g(w) - 2*o(w).
w**2 + 2*w - 2
Let w(q) = -q**2 - 7*q. Let i(m) = -27*m**2 - 30*m + 1. Determine -i(v) + 6*w(v).
21*v**2 - 12*v - 1
Let h(x) = x**2 - 5*x - 8. Let v be 1*(-2*3 - 0). Let q(k) = 16 - 2*k + 24 + k - 59 + 18. Give v*q(p) + h(p).
p**2 + p - 2
Let t(v) = -v**3 - 5*v**2 - 6. Let u(w) be the first derivative of 251 - 2*w**3 - 1/4*w**4 - 7*w - 1/2*w**2. Determine 6*t(d) - 5*u(d).
-d**3 + 5*d - 1
Suppose -40 = 576*t - 584*t. Let l(j) = -84*j**2 + 32. Let b = -13 + 16. Let n(d) = 0*d**2 + 3*d**2 + 10*d**2 - b - 2. Give t*l(f) + 32*n(f).
-4*f**2
Let f(g) be the first derivative of 7/4*g**4 + 0*g**2 + 3*g**3 + 230 + 13*g. Let x(r) = 3*r**3 + 4*r**2 + 6. What is -6*f(a) + 13*x(a)?
-3*a**3 - 2*a**2
Let f be ((-140)/16 + 8)/((-2)/80). Let l(u) = 25*u + 23*u + 21*u - 97*u - 2 + f*u. Let r(x) be the first derivative of x**2/2 - x - 1. What is 2*l(w) - 6*r(w)?
-2*w + 2
Let v(i) = 4*i**2 + 5*i + 8. Let r(o) = 3*o**2 + 8*o + 12. What is -2*r(z) + 3*v(z)?
6*z**2 - z
Let l(v) = 111*v**2 - 12*v - 18. Let b(q) = -220*q**2 + 21*q + 39. What is 6*b(r) + 13*l(r)?
123*r**2 - 30*r
Let f(k) = 6*k**3 - 2*k**2 - 25*k - 37. Let y(v) = -16*v**3 + 6*v**2 + 74*v + 112. Calculate -11*f(d) - 4*y(d).
-2*d**3 - 2*d**2 - 21*d - 41
Let c(q) = -7*q + 34. Let o(u) = 13*u - 95. Determine -7*c(m) - 4*o(m).
-3*m + 142
Let y(o) = -o + 751. Let h(i) = 2*i - 1499. Calculate -4*h(m) - 10*y(m).
2*m - 1514
Let k(y) = -y**3 + 2*y - 1. Let j(m) = 40*m**3 + m**2 - 6*m + 3. What is j(q) + 4*k(q)?
36*q**3 + q**2 + 2*q - 1
Let o(h) = 66*h - 11. Let c(y) = 197*y - 29. Calculate -4*c(u) + 11*o(u).
-62*u - 5
Let o(f) = -22*f. Let i be 163 + -159 + (1081 - 1)/(-2). Let t = -539 - i. Let n(c) = -11*c. Determine t*o(m) + 7*n(m).
-11*m
Let c(d) = 2*d**2 - 3*d + 8. Let y(j) be the third derivative of j**5/20 - j**4/6 + 3*j**3/2 + 7248*j**2. Determine -6*c(b) + 5*y(b).
3*b**2 - 2*b - 3
Suppose -1207 = -56*i - 1263. Let x(p) = 6*p + 3. Let s(n) = n + 1. Calculate i*x(v) + 4*s(v).
-2*v + 1
Let m(u) = -3*u - 1. Suppose 4*t + 0*t = -2*c + 26, -30 = -5*c - 3*t. Let l(k) = 2*k. Give c*m(r) + 5*l(r).
r - 3
Let n(d) = 5*d - 23. Let f(g) = 7*g - 34. Let i(j) = -2*f(j) + 3*n(j). Let c(v) = 20*v**2 - 11*v + 11. Determine -2*c(u) - 22*i(u).
-40*u**2
Let h(v) = -14*v**3 - 61*v**2 - 5*v - 10. Let o(m) = 7*m**3 + 31*m**2 + 2*m + 4. Give -4*h(f) - 10*o(f).
-14*f**3 - 66*f**2
Let o(g) = -10*g + 10. Let m(q) be the first derivative of -2*q**2 + 4*q + 64. Let w(f) = 12*m(f) - 5*o(f). Let i(r) = 1. Give 5*i(s) - w(s).
-2*s + 7
Let b(i) = 9*i. Let y(q) = -611*q + 3687. Let n be y(6). Let k(h) = 35*h. What is n*b(l) - 5*k(l)?
14*l
Let d(h) = -1177*h**3 - 36*h**2 - 22*h - 9. Let f(o) = 589*o**3 + 16*o**2 + 10*o + 4. What is -4*d(s) - 9*f(s)?
-593*s**3 - 2*s
Let d(i) = i**2 - 3*i - 37. Let z(f) = 514 + 499 - 1049 - 8*f + 4*f + 2*f**2. Calculate 4*d(w) - 3*z(w).
-2*w**2 - 40
Let l(b) be the second derivative of b**3/6 + b**2/2 + b. Let r(g) = 3*g + 2. Let s(p) = 4*p**2 - 7*p - 1314. Let c be s(19). Determine c*r(t) + 6*l(t).
-3*t
Let z(x) = -5*x**2 + 2*x + 6. Let s = -17364 - -17357. Let j(v) = 3*v**2 - v - 4. Calculate s*j(r) - 5*z(r).
4*r**2 - 3*r - 2
Let m(q) = -q**3 - q**2 + 1. Let k(n) = -5*n**3 - 631*n**2 + 3. Give -k(i) + 3*m(i).
2*i**3 + 628*i**2
Let s(h) = h**2. Let q(f) = 3*f**2 - 5*f - 1. Suppose -3*w + 21 = -2*j, 11*w - 12*w + 5*j + 20 = 0. Calculate w*s(a) - q(a).
2*a**2 + 5*a + 1
Let o(u) = -u + 1. Suppose -8*z - 450 = 40*z - 162. Let w(v) = v**2 - 4*v. What is z*o(h) + w(h)?
h**2 + 2*h - 6
Let k(r) = 73203*r**3 + 143*r**2 - 143*r - 143. Let i(n) = -1031*n**3 - 2*n**2 + 2*n + 2. What is -143*i(v) - 2*k(v)?
1027*v**3
Let x(t) = 14*t**2 + 13*t. Let n(y) = 9*y**2 + 9*y. Suppose -12*w = -19*w + 175. Suppose -5*v + 0*v + w = 0. Determine v*x(i) - 8*n(i).
-2*i**2 - 7*i
Let x(d) = 1677*d - 123. Let s(a) = -1677*a + 148. What is 5*s(b) + 6*x(b)?
1677*b + 2
Let j(u) = 2175*u**3 + 6*u**2 - 2*u - 14. Let i(z) = -8698*z**3 - 26*z**2 + 9*z + 62. What is -2*i(p) - 9*j(p)?
-2179*p**3 - 2*p**2 + 2
Let n be (-12)/(-128)*-4 - (-5286)/16. Let u = -337 + n. Let i(l) = -2*l**2 + 4*l - 2. Let q(j) = 5*j**2 - 9*j + 5. Determine u*i(x) - 3*q(x).
-x**2 - x - 1
Let y(i) = -6*i + 16. Let k be 14 + -18 + (5/(-1) - -8). Let w(l) = l - 1. Calculate k*y(b) - 3*w(b).
3*b - 13
Let h(s) = -10*s**2 - s - 11. Let v = -374 - -385. Let j(k) = -2*k**2 - 2. What is v*j(f) - 2*h(f)?
-2*f**2 + 2*f
Let m(y) = 14*y - 661. Let l(o) = 18*o - 656. Calculate -3*l(j) + 4*m(j).
2*j - 676
Let m(v) = -15*v**2 - 30*v + 41. Let b(f) = -2*f**2 - 5*f. Give 6*b(j) - m(j).
3*j**2 - 41
Let p(i) = -2*i**2 + 7*i - 1. Let r(w) = -65*w + 73*w - 1 - 7613*w**2 + 7612*w**2. Calculate -6*p(l) + 5*r(l).
7*l**2 - 2*l + 1
Let h(y) = -3*y - 1. Let w be 9*(-7)/((5 - 8)*-1). Let g(b) = 19*b + 8. Let m(r) = w*h(r) - 3*g(r). Let l(i) = 7*i - 3. Give -3*l(o) + 4*m(o).
3*o - 3
Let i(g) = -24*g**2 + 5*g + 5. Let f(y) = -120*y**2 + 24*y + 24. Let r be (15 - 0)*(-18 - (-1066)/65). Determine r*i(q) + 5*f(q).
-24*q**2
Let f(c) = -11*c + 5. Let y(r) = 6*r - 2. Let i(d) = 3*f(d) + 7*y(d). Let h(v) = 14*v + 1. Let q = -26 + 32. Suppose 4*k - 38 = -q. Calculate k*i(m) - 5*h(m).
2*m + 3
Let d(h) = h**3 - 3*h**2 - 9*h - 25. Let f(t) = t**2 + t + 8. Determine 2*d(w) + 6*f(w).
2*w**3 - 12*w - 2
Let o(f) be the second derivative of -5*f**3/6 - f**2 + 3129*f. Let p(a) be the third derivative of 11*a**4/24 + 2*a**3/3 - 4*a**2. Determine -13*o(t) - 6*p(t).
-t + 2
Let g(u) = -u**2 + 8*u - 10. Let r be g(7). Let t(c) = -1 + c**2 - 2*c + 2*c + 75*c**3 - 24*c**3 + 3*c - 54*c**3. Let i(d) = d. Determine r*i(v) + t(v).
-3*v**3 + v**2 - 1
Let n(s) = 6*s**3 + 7*s**2 - 4*s - 7. Let z(j) be the second derivative of -5/6*j**3 - 2*j + 0 - 4*j**2 + 7/20*j**5 + 2/3*j**4. What is 5*n(b) - 4*z(b)?
2*b**3 + 3*b**2 - 3
Suppose 592*h - 136 = 660*h. Let r(x) = x**3 - x**2. Let y(t) = -5*t**3 + 2*t**2 + 4. Determine h*r(g) - y(g).
3*g**3 - 4
Let q(b) = 749*b + 5. Let d(h) = -2240*h - 13. Give -3*d(z) - 8*q(z).
728*z - 1
Let p(j) be the second derivative of -j**3/6 - j**2/2 + j. Let g be 2 + (1*7 - (-167 + 175)). Let f(b) = -b**3 - b - 1. Determine g*f(a) - 2*p(a).
-a**3 + a + 1
Let a(t) = -10*t - 19. Let p(x) = -16*x + 19. What is -7*a(u) - 6*p(u)?
166*u + 19
Let l(u) = -39*u + 113. Let k(s) = 5*s - 15. Let d(f) = 15*k(f) + 2*l(f). Let x = -5 - -7. Let v(z) = 4*z - 1. Let a be 2 + 4 + -6 + 3. What is a*d(c) + x*v(c)?
-c + 1
Let w(i) = 29*i + 3242. Let d(u) = 130*u + 12970. Calculate -2*d(c) + 9*w(c).
c + 3238
Let l(r) = 5*r**2 - 7*r - 1. Let t(z) = 5*z**2 - z + 4. Let a(m) be the first derivative of -m**3/3 - m - 80. Let d(h) = -4*a(h) - t(h). Give 14*d(v) + 2*l(v).
-4*v**2 - 2
Let z(v) = 6*v - 2701 - 2686 + 5363. Let u(j) = 2*j - 8. Determine 7*u(a) - 2*z(a).
2*a - 8
Let q be (-68)/2*9/18. Let g(d) = 6*d - 37. Let c(p) = 2*p - 12. Calculate q*c(r) + 6*g(r).
2*r - 18
Let j(x) = -1684*x**3 - 10*x**2 + 15*x + 8. Let c(a) = 4211*a**3 + 26*a**2 - 39*a - 21. Calculate -5*c(l) - 13*j(l).
837*l**3 + 1
Let r(w) = -w**2 + 59*w + 109. Let n(j) = -j**2 + 32*j + 55. Determine -11*n(b) + 6*r(b).
5*b**2 + 2*b + 49
Let b(g) = 4*g**3 - g**2 - 6*g - 5. Suppose 115*z - 76*z - 132 = 61*z. Let x(r) = -r**3 + r. Give z*x(f) - b(f).
2*f**3 + f**2 + 5
Let i(n) = -3*n - 2. Let l(t) = -12*t - 41. Let p(j) = -27*j - 95. Let r(v) = -7*l(v) + 3*p(v). Calculate -4*i(w) - 3*r(w).
3*w + 2
Let s(i) = 376798*i - 15822. Let r(h) = 6441*h - 270. What is -293*r(n) + 5*s(n)?
-3223*n
Let a(y) = -9*y - 3. Let x = -36 + 40. Let q(i) = -1 + 3 - 6 + 5 + x*i. Let f be 15/20*(-8)/(-2). Give f*a(l) + 7*q(l).
l - 2
Let p(o) be the first derivative of -o**3 + 3*o**2 - 5*o + 67. Let m be (-2)/4 - (-319)/58. Let k(f) = 3*f**2 - 7*f + 6. Determine m*k(h) + 6*p(h).
-3*h**2 + h
Let o(g) = 52*g**2 - 39. Let r(j) = -3*j**3 + 4*j**2 + 2*j + 2. Let d be r(2). Let f(c) = -c**2 + 1. Give d*o(u)
|
{
"pile_set_name": "DM Mathematics"
}
|
= -4*a**3 - 4*a**2 - 6*a - 2. Give -n(y) + 6*s(y).
-2*y**3 - 2*y**2 + 2
Let c(z) = 17*z. Let o(k) = -459*k. Calculate 136*c(a) + 5*o(a).
17*a
Let p(u) = 18*u - 10*u + 1 - 7*u. Let v(d) = 2*d**2 - 2*d - 1. Give -2*p(m) - v(m).
-2*m**2 - 1
Let v(p) = p. Let k(y) = -4*y - 1. Suppose 9 = -5*g - 6. Let s = -1 - g. Calculate s*k(q) + 9*v(q).
q - 2
Let h(u) = -1. Let a(j) = j**3 - 13*j**2 + j - 14. Let o be a(13). Let i(f) = -f + 1. Give o*i(y) - 2*h(y).
y + 1
Let y(i) = -3*i + 8. Let m(b) = 1. Let v = -25 - -26. Calculate v*y(l) - 6*m(l).
-3*l + 2
Suppose 3*s - 6 = -3*w, -5*s = w - 0 + 2. Let z(h) = 2*h - 2 - 4*h + w - h**2. Let i(y) = -1. Let t = 0 - 1. Determine t*i(j) + z(j).
-j**2 - 2*j + 2
Let a(j) = 7*j**2 + 2*j + 1. Let d(p) = p**2 + p - 1. Give -a(g) + 2*d(g).
-5*g**2 - 3
Let r(i) = 4*i + 1. Let q(f) = -11*f - 2. Let m be 12 + (-3 - -6)/(-3). Let o = 8 - m. Let h(w) = -w**2 + w - 8. Let j be h(0). What is j*r(t) + o*q(t)?
t - 2
Let j(w) = -4*w. Let m(c) = -1. Calculate -j(p) - 6*m(p).
4*p + 6
Let k = 21 + -16. Let w(y) = -6*y**2 + 5. Let d(t) be the third derivative of 7*t**5/60 - t**3 + 4*t**2. Determine k*d(c) + 6*w(c).
-c**2
Let r(n) = 3*n**3 - 8*n**2 - 8*n + 8. Let u(o) = o**3 - 3*o**2 - 3*o + 3. Suppose -3*p - 35 = -4*j, -3*j + j - 2*p + 14 = 0. What is j*u(v) - 3*r(v)?
-v**3
Let u(g) = g - 1. Let a(z) = -4*z + 5. Let h(b) = -2*a(b) - 11*u(b). Let s(d) = -d. Give -h(k) + 5*s(k).
-2*k - 1
Let c(u) = 4*u + 4. Let k(o) = -o - 1. Calculate 4*c(x) + 18*k(x).
-2*x - 2
Let k(u) = 6*u**3 + 5*u - 4. Let p(m) = 3*m**3 + 2*m - 2. Determine -2*k(f) + 5*p(f).
3*f**3 - 2
Let p(r) = 4*r + 5. Let b(j) = -j**3 - 2*j**2 + 8*j + 3. Let d be b(-4). Let v(h) = h + 1. Calculate d*v(g) - p(g).
-g - 2
Let s be 15/(-10)*(15/(-9) + 1). Let n be 2/(-4) - 28/(-8). Let d(m) = m + 5. Let b(g) = -1. What is n*b(j) + s*d(j)?
j + 2
Suppose 2*j - 4 = 6*j, 5 = -5*s + 5*j. Let z(q) = -2 + 3*q - 7*q + 3*q + 3*q. Let r(t) = -t + 1. Determine s*z(o) - 3*r(o).
-o + 1
Suppose 0 = 5*b - 10 - 0. Suppose b*m - 16 = -38. Let l(y) = 7*y**2 + 2*y. Let w(h) = 6774 - 6774 - 4*h - 13*h**2. Give m*l(p) - 6*w(p).
p**2 + 2*p
Let g = -11 - -16. Suppose -4*h + 3*o - 31 = 0, h - 4 - 17 = -g*o. Let n(l) = 4 - l + 0 + 7 - 16*l. Let m(i) = 6*i - 4. What is h*n(j) - 11*m(j)?
2*j
Suppose 2*s + 2*c = 4*c - 2, -5 = 3*s - c. Let n(k) = 4*k**2 - k - 3. Let g(t) = -2*t**2 + 1. What is s*n(h) - 5*g(h)?
2*h**2 + 2*h + 1
Let g(a) = a + 1. Suppose -2*s - 10 = 3*s. Let n(l) = -2*l - 1. Let p(d) = s*n(d) - 5*g(d). Let o(m) = -m - 1. Determine -4*o(q) + 2*p(q).
2*q - 2
Let i(t) = 2*t**3 - t - 3. Let s(a) = -a**3 + a + 1. Suppose 4*w = 12, 9*m - 4*m = -w - 2. Determine m*i(q) - 3*s(q).
q**3 - 2*q
Let y(o) = -6*o**2 - 11*o + 11. Let f(j) = -j**2 - 2*j + 2. Let s = 7 + -3. Let a = -24 + 2. Give a*f(t) + s*y(t).
-2*t**2
Let x(j) = 9*j - 6. Let i(r) = -4 + 1 - r + 6 - 2. Determine -6*i(s) - x(s).
-3*s
Let m(z) = -z**3 + z**2 + 1. Let s(d) = 9*d**3 - 8*d**2 - 6. What is -14*m(t) - 2*s(t)?
-4*t**3 + 2*t**2 - 2
Let z(s) = 4*s**2 + 4. Let l(t) = 15*t**2 + 7*t + 9. Let m(h) = 14*h**2 + 6*h + 9. Let a(w) = -5*l(w) + 6*m(w). What is -2*a(v) + 5*z(v)?
2*v**2 - 2*v + 2
Let z(h) = 4*h**2 + 2*h + 4. Let j(t) = -2*t**2 - t - 2. Calculate -13*j(n) - 6*z(n).
2*n**2 + n + 2
Let t(r) = -3*r**2 + r - 1. Let i be t(1). Let l(z) = -z**3 - 2*z**2 + z - 2. Let p(b) = -b**3 - 3*b**2 + 2*b - 3. Calculate i*l(q) + 2*p(q).
q**3 + q
Let o(c) = -c - 1 - 2*c + 7. Let t(a) = 0 + 0 + 2 - 1. Let j(l) = 7*l - 18. Let f(b) = j(b) + 5*t(b). Give 4*f(v) + 9*o(v).
v + 2
Let a = -101 + 105. Let t(w) = 2*w - 6. Let i(z) = -z - 3*z + 7 + 2*z. What is a*i(b) + 5*t(b)?
2*b - 2
Let s(o) = o + 2. Let c(b) = -b - 5. Suppose -d + 5 = -4*k - 8, -17 = -5*d - 4*k. Give d*s(j) + 2*c(j).
3*j
Suppose 7*u = 2 - 30. Let p(g) = 5*g**2 - 3. Let h(f) = -6*f**2 + 4. Give u*p(d) - 3*h(d).
-2*d**2
Let x(k) = -17*k**2 + 14*k + 13. Let v(m) = -8*m**2 + 7*m + 6. What is 13*v(n) - 6*x(n)?
-2*n**2 + 7*n
Suppose -4*p = -0*p - 5*i - 69, i - 63 = -4*p. Let l(k) = k - 5. Let h(o) = o - 27 + 5*o + 1. What is p*l(f) - 3*h(f)?
-2*f - 2
Let a(j) = j**3 + 3*j**2 + 4*j. Let d(u) = 5*u + u**3 + 0*u**2 + 2*u**2 + 2*u**2 + 0*u**3. Determine -3*a(n) + 2*d(n).
-n**3 - n**2 - 2*n
Let n(d) = -d - 1. Let i = 43 + -44. Let l(x) = -x**2 + 6*x + 7. Determine i*l(q) - 5*n(q).
q**2 - q - 2
Let b(f) = 7*f - 5. Let s(x) = 3*x**3 + 2*x**2 + 2*x + 1. Let m be s(-1). Let k(j) = 3*j - 2. Give m*b(c) + 5*k(c).
c
Let z(t) = t + 1. Let d(j) = -j**3 + 4*j + 3. Determine -d(p) + 6*z(p).
p**3 + 2*p + 3
Let h(f) = -16*f**2 - 3*f - 3. Let w(j) = -817*j**2 - 152*j - 152. Calculate -152*h(y) + 3*w(y).
-19*y**2
Let z(d) = -2*d**2 + 6*d - 4. Let b(g) = -3*g + 14. Let i(t) = -t + 5. Let h(q) = 4*b(q) - 11*i(q). Determine -5*h(v) - z(v).
2*v**2 - v - 1
Let j(u) = -7*u. Let w(k) = k - 2. Let l(y) = -12*y + 27. Suppose -3*z + 2*z = 27. Let a(b) = z*w(b) - 2*l(b). Calculate -10*a(c) + 4*j(c).
2*c
Let u(q) = -5*q - 2. Let n(a) = 4*a + 1. Let g(l) = -4*l - 1. Let b(j) = 5*g(j) + 6*n(j). Give -3*b(d) - 2*u(d).
-2*d + 1
Let o(j) = -3 - 6*j**2 + 3*j**2 + 2*j**3 + 5 + 6*j**2. Let r(n) = -2*n**3 - 4*n**2 - 2. Give 4*o(c) + 3*r(c).
2*c**3 + 2
Let z(c) = -6*c**3 + 4*c. Let s(d) = d**3 - 2*d**2 - d + 2. Let q(i) = -i**2 + 1. Let b(p) = 2*q(p) - s(p). Calculate -4*b(u) + z(u).
-2*u**3
Let t(w) = -w + 3. Let d(i) = -i. What is 3*d(p) - t(p)?
-2*p - 3
Let j(f) = -2*f**3 + 4*f**2 - 4*f - 4. Let z(b) = -3*b**3 + 5*b**2 - 5*b - 5. Suppose -20 = -p - 5*s, -3*s = -p + 5*p + 5. Determine p*j(r) + 4*z(r).
-2*r**3
Let a(v) = 51*v - 7. Let h(p) = 102*p - 13. Calculate -11*a(f) + 6*h(f).
51*f - 1
Let m(b) = -1. Let n(s) = -22*s - 14. Calculate -12*m(r) + n(r).
-22*r - 2
Let o(m) = m**3 + m**2 + 1. Let k(r) = -r**3 - 2*r**2 - 3*r - 2. What is 2*k(t) + 4*o(t)?
2*t**3 - 6*t
Let l(j) be the third derivative of j**4/4 + 2*j**3/3 + j**2 + 15. Let s(u) = -u + 9. Let c be s(5). Let i(k) = 1 - 4 - 7*k - 2. What is c*i(t) + 5*l(t)?
2*t
Let j(o) = o**2 + o - 1. Let p = 18 + -14. Let w(m) = 1 + 0*m + 5*m + 2*m**2 - p. What is -3*j(f) + w(f)?
-f**2 + 2*f
Let z(a) = 5*a**3 + 4*a**2 + 4. Let f(v) = v - 10. Let w be f(14). Let i(q) = -2*q - 11 + 2*q - 11*q**2 - 14*q**3. Determine w*i(t) + 11*z(t).
-t**3
Let z(j) be the second derivative of j**3 - 2*j**2 - j. Let v be (-4)/(-2) - (-18)/9. Let u(y) = -y + 1. Let w be 1/3 - 4/(-6). Determine v*u(f) + w*z(f).
2*f
Let z(p) = -p**3 - 5*p**2 - 2. Suppose -4*c = 4*d, 3*c - 4 = 2*d - 7*d. Let g(l) = -l**3 - 2*l**2 - 1. What is c*z(b) + 5*g(b)?
-3*b**3 - 1
Let d = 4 - 3. Let y be (15/6)/(d/(-2)). Let a(i) = i**2 - i. Let b(o) = o**3 + 4*o**2 - 5*o. What is y*a(m) + b(m)?
m**3 - m**2
Let r(h) = -h**3 + 1. Let f(d) = 5*d**3 - 6. Suppose 5*g - 35 = -5*j, 5*g - 2 + 7 = 5*j. Suppose -2*x + 14 = g*t, 3*t - 16 = t + 2*x. What is t*r(c) + f(c)?
-c**3
Let f(r) = r**3 + 16*r**2 + 2*r + 10. Let a be f(-16). Let i(q) = -4*q - 2. Let s(x) = -15*x - 7. Calculate a*i(o) + 6*s(o).
-2*o + 2
Let f(s) = -5*s - 3. Let r(k) = -k + 1. Calculate f(c) + 4*r(c).
-9*c + 1
Let r(v) = v + 1. Let p(a) = -2*a - 2. Let m be (-2)/3 + (-14)/6. Let g = 5 + m. Let n be 2 + 0 + (-1 - -2). Determine g*p(j) + n*r(j).
-j - 1
Let s(w) be the first derivative of 3*w**4/4 - 5*w**2/2 + 5*w - 28. Let h(c) = -4*c**3 + 6*c - 6. What is -5*h(b) - 6*s(b)?
2*b**3
Let j be (7 - 4)*(-2 - -1). Let h(c) = -2*c**2 + 2*c + 5. Let p(d) = 2*d**2 - 2*d - 6. Give j*p(b) - 4*h(b).
2*b**2 - 2*b - 2
Let l(z) = -16*z**3 - 10*z**2 - 7*z. Let r be 13/(-3) + 2/(-3). Let b(y) = 11*y**3 + 7*y**2 + 5*y. Calculate r*l(g) - 7*b(g).
3*g**3 + g**2
Let o(f) = 24*f - 3. Let q(u) = -8*u + 1. What is 3*o(z) + 8*q(z)?
8*z - 1
Let a(x) = x**3 + 2*x**2. Let r(f) = f**3 + f**2. Give a(j) - 3*r(j).
-2*j**3 - j**2
Let g(d) = 90*d**3 + 27*d**2 + 27*d + 27. Let w(r) = 7*r**3 + 2*r**2 + 2*r + 2. Determine 2*g(b) - 27*w(b).
-9*b**3
Let i(f) = f**2 + f + 1. Let v(n) = -7*n**2 - 6*n - 10. Determine -10*i(q) - 2*v(q).
4*q**2 + 2*q + 10
Let s(x) = 6*x**2 + 4*x - 3. Let v = -2113/6 + 353. Let u(f) be the second derivative of -f - 7/12*f**4 - v*f**3 + 2*f**2 + 0. Give -5*s(l) - 4*u(l).
-2*l**2 - 1
Let c be (-4)/1 - (6 - 4). Let v(g) = -g**2 + 6*g + 3. Let r(u) = u**2 - 7*u - 4. Determine c*v(p) - 5*r(p).
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{
"pile_set_name": "DM Mathematics"
}
|
3132 = -166*d + 2844. Let u(p) = p**2 - 39*p + 93. Calculate u(d).
-15
Let v be (127/(-127))/((-4)/(-14))*24/42. Let q(a) = a**2 - 4*a + 3. Let k be q(4). Let p(m) = m**3 - 3*m**k + 1 - 3*m**2 + m**3. Determine p(v).
-3
Let l(b) = -b**2 + 11. Suppose -4*j - 2*o = -0*j - 8, 16 = -3*j + 4*o. Suppose 6*d + 6 = j, -2*p = 3*p + 5*d + 5. Give l(p).
11
Let o(c) be the second derivative of -c**4/12 - 3*c**3/2 - 3*c**2/2 + c. Suppose -120*d + 189 = 1149. Calculate o(d).
5
Suppose 739*d - 748*d = -9. Let q(f) = 2*f**2 + 16*f**2 - 23*f**2. Give q(d).
-5
Let v(k) = k + 13. Let n(u) = -u**3 - 7*u**2 - 10*u + 2. Let o be n(-5). Let w(r) = 2*r + 14. Let a(q) = o*w(q) - 3*v(q). Give a(9).
-2
Let i(j) = 4*j**3 - 5*j**2 - j - 6. Let r(b) = -4*b**2 + b + 97. Let g be r(5). Calculate i(g).
4
Let r(a) = 10 + 79*a**2 - 19 + 6*a - 20*a**2 - 30*a**2 + a**3 - 23*a**2. What is r(-5)?
-14
Let t(c) = -c**2 - 10 - 375*c + 202*c + 180*c. Suppose -8 + 71 = 9*y. Give t(y).
-10
Let x(o) = o - 6*o**3 + 6*o**3 + 23*o**2 + 15*o**3 + 14*o**3 - 30*o**3 - 20. What is x(23)?
3
Let u(q) be the second derivative of -q**5/20 - 3*q**4/4 - 11*q**3/6 - 3*q**2 + 286*q + 8. What is u(-7)?
-27
Let f(v) = 3*v**3 + 15*v**2 - 28*v - 27. Let o(m) = -2*m**3 - 10*m**2 + 18*m + 17. Let s(j) = 5*f(j) + 7*o(j). Determine s(-7).
-16
Let j(s) be the third derivative of 1/60*s**5 + 2/3*s**3 - 188*s**2 + 5/24*s**4 + 0*s + 0. Calculate j(-3).
-2
Let x(s) = -72*s + 23. Let c be x(2). Let j be 2/(-4) - c/(-22). Let i(p) = -p**3 - 5*p**2 + 8*p + 9. Calculate i(j).
-3
Let w(r) be the second derivative of -7*r**3/3 + 36*r**2 + 48*r. Let s be w(5). Let z(x) = -x**2 + 2*x + 1. Give z(s).
1
Let t = -21477 - -21479. Let h(p) = 10*p - 33. Calculate h(t).
-13
Suppose 2*h = -2*h - 4. Let v(w) be the second derivative of -1/2*w**2 + 8*w + 1/2*w**4 - 1/3*w**3 + 5. Determine v(h).
7
Let c(r) = r**2 - r - 2. Suppose 0 = 2*j - 0 - 4. Suppose 1 + 3 = j*y. Suppose 3*n = y*w - 2, 2*w + 0*w = 2*n. What is c(n)?
4
Let f(j) = j**2 + 42*j - 9. Let g(a) = 2*a**2 + 62*a - 11. Let d(o) = -8*f(o) + 5*g(o). Give d(12).
-7
Let x(b) = -3*b**3 - 3*b**2 - 2*b. Let h be x(-1). Let y(m) = 190*m**2 + 3 - 191*m**h + 13. Determine y(0).
16
Suppose 563 - 318 = 112*q - 427. Let d(w) = 5*w - 1. Give d(q).
29
Let i(c) = -59 - c**2 - 429921*c + 429928*c + 2*c**2. Calculate i(-11).
-15
Let w(j) be the second derivative of -j**6/120 - 11*j**5/60 + j**4/24 + 13*j**3/6 - 23*j**2 + 13*j. Let n(q) be the first derivative of w(q). Determine n(-11).
2
Let w(m) = m**3 - 5*m**2 - 3*m - 8. Suppose -3*p - 5*i + 515 + 203 = 0, 0 = -3*i + 6. Let f = p + -230. Give w(f).
10
Let o(b) be the second derivative of b**4/12 + 5*b**3/3 + 21*b**2/2 + 12*b + 1. Suppose -10*u - 54 - 16 = 0. Give o(u).
0
Let x(s) = 0*s + 5*s**2 + 3*s + 2 - 3*s. Let q be 472/177 - 112/24. Determine x(q).
22
Let h(t) = 3*t - 44. Let m(f) = 45*f + 2520. Let a be m(-56). Give h(a).
-44
Suppose 679*x - 662*x + 221 = 0. Let o(k) = k**2 + 13*k + 10. What is o(x)?
10
Let l(u) = -5*u + 63. Let h(n) = n**2 + 37*n + 326. Let t be h(-13). Give l(t).
-7
Let r(u) be the third derivative of -u**4/12 - u**3/3 + 15*u**2 - 106. What is r(-15)?
28
Suppose -2 = h - p + 4, 4*h = 3*p - 23. Let f(q) = q**2 + 4*q - 1. Let r be f(h). Let t(b) = -b**2 + 6*b - 3. What is t(r)?
5
Suppose 57 - 1 = -2*j. Let l = j - -43. Let o(b) = -l*b - 15 + 12*b + 3. Give o(-8).
12
Let q(n) = -6*n**3 - 28*n**2 + 40*n + 34. Let z(j) = 5*j**3 + 28*j**2 - 38*j - 31. Let y(k) = -6*q(k) - 7*z(k). Determine y(27).
-14
Let u(y) = -6*y**2 - 5*y - 5. Let v(f) = -f**2 - f. Let s(g) = u(g) - 5*v(g). Let p = 2965 - 2969. Give s(p).
-21
Let d(p) = 2*p**2 + 2. Suppose 0 = 4*i - f - 0*f - 242, 4*f = -8. Suppose 31*y = y - i. Calculate d(y).
10
Let t(x) be the second derivative of 1/2*x**3 + 0*x**2 + 0 + 149*x - 1/12*x**4. Calculate t(5).
-10
Let p(o) = o**2 + 13*o + 14. Let x be p(-12). Let t(a) = 3*a**x - 3*a - 10934 + 10934. Calculate t(2).
6
Let n(s) = -1131*s - 9037. Let m be n(-8). Let o(c) = c**3 - 12*c**2 + 9*c + 18. Calculate o(m).
-4
Let j(o) = -5*o - 2. Suppose 300 = -5*d - n, 5*d + 305 = -5*n + 5. Let p = -53 - d. Suppose -3 = 2*l + p. What is j(l)?
23
Let n(z) = z**3 - 5*z**2 + 5*z - 4. Let h(d) = 87*d - 69. Let g be h(6). Suppose 4*p - g = -437. Determine n(p).
0
Let o be ((-231)/(-44) - 5)/(6/24). Let b(f) = -3*f + 5*f - 4*f - f**2 + 3. Let h(x) = 3*x**2 + 4*x - 7. Let m(r) = 5*b(r) + 2*h(r). Give m(o).
0
Let t = -7770 - -7770. Let m(v) = -v**2 + 4*v - 37. Determine m(t).
-37
Let c(i) = 28*i - 117. Let l(j) = -93*j + 396. Let b(s) = 33*c(s) + 10*l(s). Give b(17).
-3
Let j be 2*((-78)/36 - 4/3). Let d be (-4)/(-14) + (-95)/(-35) + 0. Let c(l) = -3*l - 5 - 7*l**2 - d*l**2 - 3 - l**3 + 3*l**2. Determine c(j).
13
Let y = -136 + 150. Let p(m) = -1 + y*m**2 + 20*m**2 - 33*m**2 + 5*m. Let k(f) = 2*f**2 + 9*f - 2. Let x(l) = 6*k(l) - 11*p(l). What is x(3)?
5
Let d(p) = -3*p - 42 - 40 + 83 + 2*p. Let v(a) = 3*a + 9. Let q(f) = 2*d(f) + v(f). Determine q(-5).
6
Suppose 0 = -11*g + 8*g + 96. Suppose 44*n - 36*n - g = 0. Let p(d) = -d**2 + 2*d + 1. Determine p(n).
-7
Let p(b) = -342 + 701 - 2*b - 356. Suppose -3*f = 4*k - 10, 5*f + k - 7 - 21 = 0. What is p(f)?
-9
Let l(y) = y - 2. Let z be ((-125)/(-20) + -5)*28. Suppose -39*b = -z*b + 16. Give l(b).
-6
Suppose -3*w - 3 = 0, 0 = -0*r + r - 5*w + 12. Let d(n) = -n**3 - 18*n**2 - 18*n - 17. Let b be d(r). Let y(a) = -1 + a**3 + 0 + 8 + 3 - a. Determine y(b).
10
Let y = -10139 - -10144. Let z(x) = 0 + 2*x - 5*x + 7. Let j(f) = 4*f - 8. Let p(g) = y*z(g) + 4*j(g). Determine p(-4).
-1
Let v(f) be the first derivative of -88*f**2 + 11*f + 87*f**2 + 2*f + 49. Determine v(9).
-5
Let x be 208/24 + -10 - 22/6. Let n(s) = -s**2 - 6*s - 6. What is n(x)?
-1
Let g(q) = 115*q**2 + 23. Let d(i) = 64*i**2 + 11. Let v(n) = -9*d(n) + 5*g(n). Calculate v(3).
7
Let d(n) = n**3 - 14*n**2 + 14*n - 3. Let z be d(13). Suppose -z = -8*b - 2. Let x(y) = -16*y**3 - y**2. Give x(b).
-17
Let w(i) = -3*i - 1. Let m be ((-2)/(-6))/(-3 + (-275)/(-90)). Suppose -5*d - 3 = -m*d, d - 22 = -l. Suppose 11 - l = 4*u. Determine w(u).
5
Suppose 0 = -n - 2*a + 7, -3*n + 0*a + 17 = 5*a. Let j(l) = 158*l**2 - 5*l + 5. Let g(h) = -91*h**2 + 3*h - 3. Let r(p) = 5*g(p) + 3*j(p). Determine r(n).
19
Let g(l) = -363 + 134 + 137 + 15*l + 117. What is g(-2)?
-5
Let u be 5/(-1) + 6 + -7. Let w(o) = o + 8. Let i(p) = -2*p - 17. Let d(n) = u*i(n) - 14*w(n). Suppose 77*q = 67*q - 70. Give d(q).
4
Let u be (7/7)/(3/(-207)). Let k = u - -78. Let j(l) = -l**3 + 9*l**2 + 2*l - 13. What is j(k)?
5
Let r(t) = -3*t + 13*t + 8*t - 122 - 5*t. Let s be r(9). Let m(l) = -l**3 - 4*l**2 + 8*l + 7. Calculate m(s).
-8
Let o(b) = -8*b**2 + b - 6. Let q(f) = 31*f**2 - 3*f + 20. Let y(u) = -11*o(u) - 3*q(u). Determine y(-2).
-10
Let v(b) = -8*b - 1. Let k = 17 - 10. Suppose -k*u + 14 = 427. Let p = u + 58. Calculate v(p).
7
Let q(j) = -4*j + 74. Let m(h) = 4*h - 18. Let r(y) = 3*m(y) + 2*q(y). Calculate r(-19).
18
Let r(n) = 39*n - 499. Let k be r(13). Let m(b) be the first derivative of -b**3/3 + 3*b**2 + 13*b - 6. Give m(k).
-3
Let u(f) = f**3 + 8*f**2 - f - 10. Suppose 22 = -4*b + 2*a, -11*b + 5*a + 33 = -12*b. Determine u(b).
-2
Let d(v) = -1 + 408*v - 16 - 421*v - v**2. Give d(-14).
-31
Let m(a) = 4*a**2 - a - 2. Let w(q) = 13*q**2 + 26*q + 92. Let v(c) = 3*m(c) - w(c). What is v(-25)?
2
Let q(f) = 3*f**3 - 17*f**2 - 29*f + 15. Let b be q(7). Let d(z) = -11*z - b + 4 + 2. Determine d(1).
-13
Let k(i) = i**3 + 12*i**2 + 21*i - 1. Let w be k(-10). Let g = w + 14. Let x(p) be the second derivative of -p**5/20 + p**4/4 - p**3/6 - 5*p. Calculate x(g).
-3
Let j(b) = b**3 + 2*b**2 - 1. Suppose 2*m + 389 = 3*x, 0*x - 2*x - 404 = 2*m. Let k = 201 + m. What is j(k)?
15
Let g(d) = d**3 + 2*d**2 + 3*d + 3. Let m be (32 + -27)/(-35)*(0 + -21). Determine g(m).
57
Let c(p) = -303*p - 1210. Let v be c(-4). Let g(q) be the third derivative of 0*q**5 + 0*q - 1/120*q**6 - q**2 + 0 + 0*q**3 + 0*q**4. Determine g(v).
-8
Let x(h) = 5*h + 66. Suppose 8*p - 5*p = -4*b - 41, 5*p - 38 = 3*b. Calculate x(b).
11
Let w = 6 + -5. Suppose -4*l + 5 = s, -3*s - 3 = -6. Let m(f) = l - 6*f - f**2 + f**3 + 0*f**2 - 15*f**3 + 5*f. Determine m(w).
-15
Let b be (2 + -1)/((-10)/50). Let n(u) = -3
|
{
"pile_set_name": "DM Mathematics"
}
|
e q.
17
Express (-60*j - 1 - 7 + 53*j)*(-12*j + 13 - 13)*(2 + 0 + 1)*(-1 - 3 + 3) as p + g*j**2 + h*j and give h.
-288
Express (-376*z**3 + 8884 - 268*z**3 - 8882)*(-z + 0*z + 3*z) - 5*z**4 + z**4 + z**4 in the form f*z**4 + t*z**3 + x + v*z + s*z**2 and give f.
-1291
Rearrange -261541*f**2 + 6 + 261544*f**2 + 1 + 0*f**3 - 5*f**4 + 2*f**3 - 2*f**4 to p*f**2 + d*f + t + l*f**3 + w*f**4 and give d.
0
Express (4 - 2 - 6)*(-2 + 0 + 3)*(-103*p - 9755 + 9755) in the form d*p + m and give d.
412
Express 562*x**3 - 3*x + 498*x**3 - 1172*x**3 + 2*x**2 - 1 in the form m*x**2 + s*x + a*x**3 + p and give a.
-112
Rearrange 11*d**2 - 8*d**2 + 410 - 2*d**4 + 8493*d**3 - 8490*d**3 to j*d**2 + o + t*d + p*d**4 + y*d**3 and give y.
3
Rearrange 8227810 - 8227810 - 6384*o to x*o + y and give x.
-6384
Express 161 - 38*x - 17*x - 2*x**2 + 307 + 57*x + 158 as y*x**2 + w + t*x and give y.
-2
Express 259 - 55 - 206 - 1713*d**2 in the form v*d + i*d**2 + o and give o.
-2
Express ((4 - 1 - 1)*(-3 + 0 + 5) + 3 - 3 - 1 + 1 + 1 + 0)*(6*i - 223*i**4 - 2*i**3 - 233*i**4 + 454*i**4 + 5) as p + b*i**3 + s*i**2 + u*i + k*i**4 and give u.
30
Express -7*v**3 - 208*v**2 + 208*v**2 + (10*v**2 - 3*v**2 - 2*v**2 + (-4 + 2*v + 4)*(0*v - v + 0*v))*(3*v - 8*v - 2*v) as j*v**2 + y + k*v**3 + d*v and give k.
-28
Express 222*r**3 + 533 - r**2 - r - 220*r**3 - 1678 in the form t*r + j*r**3 + v + b*r**2 and give j.
2
Express -1083 - 409 + 2*m - 3*m - 1600 + 481 as t + g*m and give t.
-2611
Express -b**2 - 21*b**2 - 15*b**2 + (-2*b - b**2 + 2*b)*(3 + 0 + 4) in the form n + l*b + k*b**2 and give k.
-44
Express 3*f**3 - 6*f**2 + 6*f**2 - f**3 - 3344 + f + 2193 as m*f + d*f**3 + q + r*f**2 and give q.
-1151
Rearrange -82*h - 5*h**3 - 69*h - 323*h**3 + 151*h - 9*h**2 to r*h**2 + t + i*h + c*h**3 and give r.
-9
Rearrange ((-2*i + 2*i - 2*i)*(5 - 1 - 2) - 2*i + 3*i + i)*(-12*i**3 - 281*i**3 - 455*i**3) to the form p + u*i**4 + j*i**3 + s*i + w*i**2 and give u.
1496
Express 1512*d + 958*d - 460*d in the form c + l*d and give c.
0
Express -118*c - 2 + 283*c - 1 - 11 - 5*c in the form n*c + a and give a.
-14
Express 592*n**3 - 440*n**3 + 3*n**4 - 11*n + 13*n + 2519*n**3 - 4*n**4 in the form l*n + k + b*n**2 + a*n**4 + h*n**3 and give h.
2671
Express (-4*g**3 + 4*g**3 - 3*g**3 + (0*g - g + 3*g)*(-4*g**2 + 256*g**2 + 4*g**2))*(-1 - 6 + 9) in the form o*g**2 + c*g + b*g**3 + v and give o.
0
Rearrange -3 - 2*a + 3 + (-2 + 2*a + 2)*(-7836 - 4030 - 1066) to the form p + u*a and give u.
-25866
Express -1540 + 718 + 40*x + 774 in the form o*x + i and give o.
40
Rearrange 4 + 3735*l + 46 - 3722*l to the form g + h*l and give g.
50
Express (-2029*s - 878*s + 1799*s - 2197*s - 2 - 145*s)*(5*s + 0*s - 2*s) in the form z*s + g + q*s**2 and give z.
-6
Express 156 + 117 - 51 - 16 - 23*u + 94 as k + i*u and give i.
-23
Express -4*i - 33 + 4*i**2 - 13*i**2 + i + 3*i in the form b*i**2 + l + z*i and give l.
-33
Express (-1 + 4 - 1)*(-9 + 14 + 5)*(180 - 180 - 230*a**2) in the form r + j*a + x*a**2 and give x.
-4600
Rearrange b**4 + 5*b**3 - 2*b**4 + 17*b + 8*b**3 - 655868*b**2 + 655867*b**2 + 7*b**3 to the form t + a*b + l*b**2 + s*b**3 + u*b**4 and give l.
-1
Express -p**2 - 25*p + 15*p + 795 + 10*p + 2342 as l + f*p + g*p**2 and give g.
-1
Rearrange ((-2*l + 1 - 1)*(2 - 3 - 1) + 4*l - 5*l + 0*l)*(3173 - 50 + 3361 - 1458) to the form x + p*l and give x.
0
Express r**2 - 3*r**2 + 0*r**2 + (-1 - 5 - 2)*(-23*r**2 + 265*r**2 + 82*r**2) in the form o + q*r**2 + g*r and give q.
-2594
Express -9 - 2*c - 184 + 14*c**2 - 12*c**2 as n*c + b + x*c**2 and give b.
-193
Rearrange 3164*s + 171*s - 2067*s + 4503*s to d*s + a and give d.
5771
Express -11*b - 56*b - 56*b - 55*b + 174*b - 3198 as u + m*b and give m.
-4
Express (1405*g + 78*g - 232*g)*(-g + g + 2*g**2 + 2) in the form s*g + r*g**3 + v + h*g**2 and give s.
2502
Rearrange -9*h**2 - 63*h**4 + 117*h**4 + 7*h**2 - 56*h**4 - 1255*h**3 to the form p + f*h + s*h**4 + u*h**3 + m*h**2 and give u.
-1255
Rearrange 1041 - 318 - 2*i - 325 - 258 - 245 to l + g*i and give l.
-105
Rearrange -17107 + 9*f**3 + 2*f**4 - f**3 + 17106 + 7*f**2 to the form r*f**4 + q*f**2 + w*f**3 + h*f + j and give j.
-1
Express (-314 + d**2 + 217 - 10699*d + 97)*(-3*d + 5*d - 4*d + (0 + 1 + 1)*(d + 2 - 2) + d + 0*d - 2*d) as q + c*d**2 + o*d**3 + i*d and give o.
-1
Rearrange -765 - 42*b**3 - 8*b**2 - 28*b**3 - 41*b**3 + 764 to the form r*b**2 + a + n*b**3 + i*b and give a.
-1
Rearrange -28 - 42 + 96*n**2 + 43*n**2 + 71 to r*n**2 + k + q*n and give r.
139
Rearrange (-4*l**2 + l**2 + 5*l**2)*(-4 - 4 + 1) + (-15*l + 12*l + 92*l)*(-3*l + 3*l - 2*l) to k*l**2 + o + r*l and give k.
-192
Express -46*u + 2207*u**2 - 19*u + 93*u - 28*u as c*u + j + a*u**2 and give a.
2207
Rearrange (2 - n**2 - 2)*(20 + 20 - 18)*(-143*n + 58*n - 224*n - 147*n - 176*n) to a + m*n**3 + q*n**2 + t*n and give m.
13904
Express (874*d**2 - 196*d**2 + 310*d**2)*(18*d + 4*d**2 - 18*d) as u*d**4 + s + h*d + i*d**3 + t*d**2 and give u.
3952
Express 46 - 3*u**4 + 6*u**2 - 87*u + 3*u**3 + 0*u**4 - 9*u**2 - u**3 + 85*u as p*u + y*u**2 + a*u**4 + r*u**3 + f and give y.
-3
Express -7401*d + 1172*d + 416 - 416 in the form t*d + n and give t.
-6229
Rearrange (154*r - 1142 + 1142)*(-r + 3*r - r) + 3*r + 4*r**2 - r**2 - 131 + 138 to s*r**2 + f*r + t and give t.
7
Rearrange -3*z + 1369*z**2 - 642*z**2 + 5 - 719*z**2 to o + b*z**2 + t*z and give t.
-3
Express (-1 - 3*y + 1)*(2*y + 833*y**2 + 884*y**2 + 97 - 1713*y**2) in the form s*y**2 + h*y + g + d*y**3 and give h.
-291
Express (-29*q - 209 + 209)*(1925*q**2 + 6 - 1923*q**2 + 0) in the form c*q + t*q**2 + o*q**3 + a and give o.
-58
Rearrange (-278*b**2 + 3 - 3 + 761*b**2 + 77*b**2)*(-2 + 5 + 26) to the form d*b**2 + k*b + g and give d.
16240
Rearrange 33 + 15 - m - 28 - 3*m**2 + 54 + 130 to a*m + f + u*m**2 and give a.
-1
Express (d - 4*d + 0*d)*(16 - 27*d - 16)*(3*d + 2*d + 2*d) in the form n*d**2 + b*d**3 + f + u*d and give b.
567
Express 30*o + 2*o**2 - 122*o + 4 + 79*o in the form f*o + s + m*o**2 and give f.
-13
Rearrange 202*b + 162 + 0*b**4 + 3*b**3 - 196*b - 5*b**2 - 161 + 12*b**4 to v*b + l*b**3 + i + q*b**4 + f*b**2 and give v.
6
Express 329*s**3 - 273*s**3 - 106*s**3 + 49*s + (-4*s**2 + s**2 + 0*s**2)*(s + s - s) as q*s**3 + z + o*s + t*s**2 and give o.
49
Express (-464 + 242 + 238 - 7*x**2)*((1 - 3 + 1)*(-4 - 1 + 4) + (2 + 4 - 4)*(5 + 3 + 11) + 2 - 3 - 1)*(4 - 3 + 0) in the form w + t*x + a*x**2 and give w.
592
Express 19 - 128233*n + 143998*n - 19 in the form z*n + u and give u.
0
Express (6 - 10 - 12 - 3)*(217*v + 21*v - 67*v) in the form w*v + c and give w.
-3249
Rearrange 485*a - 69*a**3 - 269*a - 224*a to y*a**3 + x*a**2 + o + n*a and give n.
-8
Express -296 + 1318*l**2 - 664*l**2 - 111 - 655*l**2 - 383 as o*l**2 + g*l + j and give j.
-790
Rearrange (1073*n**3 + 2 - 376*n**3 - 557*n**3)*(-3*n + 3*n + 2 - 2*n) to the form g + l*n**4 + q*n**2 + m*n**3 + c*n and give c.
-4
Express -8455*s + 3793*s + 3101*s as c + o*s and give o.
-1561
Express 0*r**3 - 1 - 356*r + 1526*r - r**3 + 2315*r - 570*r in the form l*r + o*r**2 + j*r**3 + s and give j.
-1
Rearrange -1977 - 4*h**3 + 0*h**2 + 992 + h**2 + 1037 - 2*h to the form p*h**3 + q*h + s + j*h**2 and give j.
1
Express q**3 + 469*q - 882 + q**3 - 2498 - 231*q - 236*q in the form b + y*q + x*q**3 + p*q**2 and give x.
2
Rearrange -118 + 170 + 219*g**2 - 55 to j*g**2 + w + n*g and give j.
219
Express 5 - 7*d - 5 + (0 - 2 - 3)*(6*d + 4*d - 5*d) + (4*d + 0*d - 2*d)*(-1 + 2 + 0) - d + 4*d - 2*d in the form s + n*d and give n.
-29
Rearrange (17535 + 33719*a**2 + 33693*a**2 - 67414*a**2)*(-1 - 4*a + 3*a - 1) to the form i*a**3 + s*a**2 + x*a + y and give x.
-17535
Rearrange 34*r - 88*r**4 + 65*r**2 - 63*r**2 - 94*r**4 + 171*r**4 to the form h*r**3 + i*r + n*r**4 + o + c*r**2 and give c.
2
Express -3*n**4 + 11*n - 3*n**4 + 7*n**4 - 101 - 2*n**4 + 186*n**2 - 2*n**3 - 188*n**2 as p*n**4 + a*n**3 + m*n**2 + b*n + q and give a.
-2
Express -12 + 13 - 11544*k + 460*k - 7520*k + 418*k + (-2 - 2*k + 2)*(3 + 0 - 4) in the form l + j*k and give l.
1
Rearrange (-2*c**2 + 9 - 9)*(1924*c + 1586*c + 4069*c - 3476*c + 1675*c) to the form v*c**3 + i*c**2 + f + l*c and give v.
-11556
Rearrange -4 - u - 591*u**4 - 17*u**2 + 2*u**3 + 597*u**4 + 18*u**2 to the form q +
|
{
"pile_set_name": "DM Mathematics"
}
|
)/j)*j))/(j**12*j**13))**(-5/2))**(2/57) assuming j is positive.
j**(4075/1083)
Simplify ((u/u**(7/4)*u)/u**4)/(u*u**0)**48*u**(-1)/(u*u**1)*(u**(-6/5)*u*u)/(u/(u*u**(1/2))*u) assuming u is positive.
u**(-1089/20)
Simplify (k*(k*k**(7/5))/k*k**(1/5))/(k**(-2))**(-9/8)*k**(3/2)*k*k**(-4)*k*k**8/(k**(2/5)/k) assuming k is positive.
k**(169/20)
Simplify (((v*v**(-1/27))/(v/(v**(4/5)/v)))/((v/(v*(v/v**(-7)*v*v)/v))/(v**(-21/2)/v)))**(-12) assuming v is positive.
v**(1478/45)
Simplify (s/s**(-1/5)*s**4*s**(-3/11)/(s*s**(-3/5)/s))/(s**(1/3)*s/s**7*s*(s*s/((s**(7/4)/s)/s))/s**(-2)) assuming s is positive.
s**(3923/660)
Simplify ((n**0)**(6/7))**(-1/63)/(n**4/n**1)**(3/25) assuming n is positive.
n**(-9/25)
Simplify (s**(6/7)*s**(2/7))**(-15/4)/((s/(s*s**(-1)))**(-43)/((s/(((s*s**(-3/2)*s*s)/s)/s))/s**(4/9))) assuming s is positive.
s**(5011/126)
Simplify ((g**(1/16)/g)/(g/((g/g**(2/75))/g)))/(g**(-4/25))**(20/11) assuming g is positive.
g**(-22087/13200)
Simplify (j/j**(2/5))**(5/7)/((j**(-5)/j)/j*j**3)*(j**(1/2)*j)**(-27/5)*j*j**(4/5)/j*j/(j*j/j**(1/9)*j) assuming j is positive.
j**(-2999/630)
Simplify (d*d**5*d*d*d*d)/d*d**(-1/5)*(d**(-1))**(-25)*((d**(-1/2)*d)/d*d**(1/3)*d)**(7/6) assuming d is positive.
d**(6259/180)
Simplify (((r*r*r**(-15/8)*r)/r*r/(r*r**26))/(((r/r**(-3/2)*r)/r)/(r**(6/11)*r)))**12 assuming r is positive.
r**(-7083/22)
Simplify (((k/k**(2/15)*(k/(k**(-3)*k))/k)/((k*k/k**(1/6))/k**(-2)))**(-1/8))**(-11/3) assuming k is positive.
k**(-319/720)
Simplify ((((l*l**26*l)/l)/((l*l/(l*l*l*l**(2/29)))/l))/((l/(l/l**(-1/20)))/(l*l*l/(l**(-5)/l)*l*l)))**(-2/71) assuming l is positive.
l**(-23269/20590)
Simplify (y**(-33)*y*y**(21/4)/y)/((y**21*y)/y**(-3/47)) assuming y is positive.
y**(-9365/188)
Simplify (u**(-1/4))**(-17)*u*u/(u**(3/4)*u)*u*u**(-1/6)*((u/(u/((u*u**(-1/6))/u)))/(u**(-1/3)/u))/((u**(-3/5)*u)/u**(2/5)) assuming u is positive.
u**(13/2)
Simplify (l/(l/(l/(l*l**(-22))))*l*l*l**(-37))/(l**(-1/3)/l)**(-33) assuming l is positive.
l**(-57)
Simplify (((a**(2/3)*a*a)/a*a**(2/3))/(a**(3/7)*a*a/a**1))/((a**(2/3))**1/(a**(1/5)*(a/a**0)/a)) assuming a is positive.
a**(46/105)
Simplify ((u**4/((u/u**(1/11))/u)*(u*((u**2*u)/u*u)/u)**(-20))**(14/11))**26 assuming u is positive.
u**(-223860/121)
Simplify ((h/h**1*h)/h)**33/(h**(-1))**(3/13)*h*h/(h*h/h**(-4))*h*h**4*h*(h*h**(2/7)*h*h)/h*h*(h**1/h)/h*h assuming h is positive.
h**(502/91)
Simplify ((s**(-1/7)/(s/s**(-11)))/(s/(s**0/s)*s)**(1/38))**28 assuming s is positive.
s**(-6502/19)
Simplify (b**(-5/2)*b**(2/9))/(b**5*b**4)*(b*b**6/b*b*b*b**1)**(-4/7) assuming b is positive.
b**(-2069/126)
Simplify (w**(-1)*w**(2/13))/(w**(-2/9)*(w/(w**(-1)/w))/w)*((w*w**(2/5))**(-42))**(1/5) assuming w is positive.
w**(-42073/2925)
Simplify w**2*w/w**(-3/5)*w/((w*w**(-4/9))/w*w)*((w**(1/5)/w)/w)/w*(w**6*w**(-2/5))/(w/w**(-2/7))**(29/4) assuming w is positive.
w**(-3121/1260)
Simplify (g**(7/2)/(g**(-2/9)*g)*(g*g/(g*g*g**(-2/3)*g*g))**(-5/3))/(((g*g*g**(2/3))/g)**(-4/15))**(-6) assuming g is positive.
g**(41/18)
Simplify ((z/(z/(z*z**0)*z*z)*z)**41/((z*z/z**(3/7)*z)/z*z*z**(-5)))**(-32) assuming z is positive.
z**(-544/7)
Simplify ((z**(1/15)/z**17)/(z/(z**(4/3)*z)*z*z**(-16)))**3 assuming z is positive.
z**(-9/5)
Simplify (x**6/(x*x**(-9)))**(-17)/((((x/(x*x**(3/7)*x))/x*x)/x)/(x/(x**(-5/4)*x*x)))**37 assuming x is positive.
x**(-3889/28)
Simplify ((z/z**(2/9)*z**(3/5)/z)/((z**(-4)*z)/(z**(1/4)*z)))/((z/z**(-3/8))/z*z/z**(-4)*(z**(-1/3)*z)/z*z**6) assuming z is positive.
z**(-2309/360)
Simplify (x/(x**0*x))**(-3/13)/(x**7*x**(4/7))*((x*(x**(2/5)*x)/x*x)/x)**(-49)*(x**(1/2))**(2/21) assuming x is positive.
x**(-7993/105)
Simplify r**(-2/23)*r*r**27*(r/(((r**36*r)/r)/r)*r*r)/(r/(r/(r*(r*(r*r**(-32))/r)/r*r))*r) assuming r is positive.
r**(573/23)
Simplify ((l/(l/(l*l**(3/14)/l)))**3/(((l*l*l**(-9/7)*l*l)/l)/(l/(l*l**(-5)/l))))**(-1/90) assuming l is positive.
l**(-23/420)
Simplify (((t**(-1)*t)**(12/13)*t/((((t*t*t/(t**(2/9)*t*t)*t)/t*t)/t)/t*t)*t**(-1))**(-25))**(-9) assuming t is positive.
t**(-175)
Simplify (((r/(r**(-4)*r))/r**5)/(r*(r*r/((r/(r**6*r)*r)/r)*r)/r*r*r*r/r**5))/((r**(-1))**(-3/44))**(3/2) assuming r is positive.
r**(-713/88)
Simplify ((f*f**(-1/7)*f)/f**(-3/8))/(f/(f*f**(-6)*f)*f**(-2/31)/f)*f*f*f**(-3/4)/f*f*f/f**2*f/f**(-3)*f**1 assuming f is positive.
f**(6157/1736)
Simplify (r/(((r*(r/((r**(3/5)/r)/r*r))/r)/r)/r*r)*r*r**2)**45*((r*r**(-5))/(r/(r*r*r*r**9/r*r)*r))/(r**(-4)/(r/r**(-5))) assuming r is positive.
r**178
Simplify (u/u**21)/(((u*u*(u/(((u/((u/u**(2/29))/u))/u)/u*u))/u*u)/u)/u)*(u/(u*(u**13/u)/u))**(-3) assuming u is positive.
u**(350/29)
Simplify ((o**(1/15))**30/((o/o**(-1/5)*o)/((o/(o/o**(-1)))/o)))**6 assuming o is positive.
o**(-66/5)
Simplify (((z*z**(2/27))/z)**21/(((z*z/(z*z/(z/(((z*z/(z**18*z)*z)/z)/z)*z))*z)/z)/(z*z**(-20)*z)))**(2/17) assuming z is positive.
z**(-656/153)
Simplify (c/(c*(c**(1/2)*c)/c)*c*c)**(28/5)/((c**6*c)/c**(-2/7))*(c**(3/7)*c/(((c/(c*((c**(3/4)*c)/c)/c*c))/c)/c)*c)**22 assuming c is positive.
c**(8053/70)
Simplify (w**(-1/7)/(w/(((w/(w*((w*w**(3/13)*w)/w)/w))/w)/w)))**(-5/7)*(w**0/w)**(2/17)*(w*w**(-1/2)*w)**39 assuming w is positive.
w**(1316635/21658)
Simplify (((b/b**(-6/7))/b*b/(b**10/b))/((b/(b/(b*b**5)))/((b**(-5/7)/b*b)/b)))**(-1/9) assuming b is positive.
b**(104/63)
Simplify ((g/g**(-4/7)*((g*g/(g*g/g**11*g)*g)/g)/g)/(g**(-15))**(-25/2))**(-23) assuming g is positive.
g**(56971/14)
Simplify (((t*t**26*t)/t**(-29))**(-5))**45 assuming t is positive.
t**(-12825)
Simplify ((x*x/(x**(-16)*x)*x*(((x**(2/5)/x)/x)/x)/x)/((x**(1/33)*x*x)/(x/x**(9/4)*x)))**(-4) assuming x is positive.
x**(-7999/165)
Simplify ((l**(2/3))**(4/11)/(l**(1/3))**(-15))/((l**2)**(1/17)/(l**(1/3))**(-18)) assuming l is positive.
l**(-491/561)
Simplify (b**(-1/4)*b**(-1/4)*b**(4/7)/((b*b**8)/b*b))/(b**(-1/2)*b**10)**(-41/5) assuming b is positive.
b**(2414/35)
Simplify (w**3*w**(-1/4))**(-2/75)/((w**0/w)**(1/30))**(4/7) assuming w is positive.
w**(-19/350)
Simplify (y**(-3/7)*y/(y*y**(1/7))*y*y**(-2/3)*y**(1/3))/(((((y*y**(-2))/y*y)/y*y)/y**(-2))/((y*y*(y/(y/y**(2/3)))/y)/y)**(-2/5)) assuming y is positive.
y**(-41/35)
Simplify (((x**1*x)**(-2/3)*(x**(-1/2))**(17/2))**(-1))**(1/46) assuming x is positive.
x**(67/552)
Simplify (((d*d**(1/2))/d**(3/2))/(d**0*d)**(-1/48))/((d/(d*d**(-2)/d*d))/(d/d**(-2/11)))**(2/77) assuming d is positive.
d**(-17/40656)
Simplify (a*a**(6/17)*a*a/(a*(a/a**(-4/25))/a*a)*a**(-43)*a**(2/37))**(-4/27) assuming a is positive.
a**(2626264/424575)
Simplify q**1/q*q**(-5/6)*q*(q*(q**(-4)/q)/q)/q**0*(q**(1/2)/(q/((q*q*q**(-3)*q)/q)))**37 assuming q is positive.
q**(-181/3)
Simplify ((a*a/a**0)**(-3/5))**(2/5)/((a/a**(-1/7))/a**(-1/2))**(38/3) assuming a is positive.
a**(-11177/525)
Simplify (k**6*k/(k**(-4/3)/k*k)*k**(-2/3)/((k**(-1/8)*k)/k))/((k/k**(-2/3))**48*(k**(1/3)/k*k)/(((k**(-8)/k)/k)/k)) assuming k is positive.
k**(-2005/24)
Simplify (o**8*o**(1/54)*(o/((o*o**(4/15)/o*o)/o))/o**(-7/4))**9 assuming o is positive.
o**(5671/60)
Simplify (((m/m**(2/7))/m**(-1/3))/((m**(-2)/m)/m**(-4)))/((m/(m*m**(-1)*m*m))**(-31)/((m*(m**2*m)/m*m*m*m)/(m/m**2))) assuming m is positive.
m**(-503/21)
Simplify (d**(5/6)/(d*d*d**(2/9))*(d/(d/(d**(-4/7)/d*d))*d)/((d**(-3/16)/d)/d*d))**(-8/5) assuming d is positive.
d**(-229/630)
Simplify ((j**19/j)/j)/(j**(-2/35)*j)*(j**(-1/5)*j)**(1/25) assuming j is positive.
j**(14078/875)
Simplify (l**(-1/6)/l**(-8))**31/(((l/l**9)/((l*l/l**4)/l))/(l/l**(-2/11)*l)**(1/27)) assuming l is positive.
l**(49087/198)
Simplify (h**(-9)*h*h/(h**(3/28)/h)*h**21/((h*h**(3/13))/h*h))**(-4/25) assuming h is positive.
h**(-4973/2275)
Simplify ((((f*f**(4/5))/f**(3/2))/(f*f**(-2)*f)**46)**(1/28))**(-30/7) assuming f is positive.
f**(-9/196)
Simplify (((g/g**(-2/5))/(g/(g*(g/g**(-9))/g)))/(g**(2/9))**(11/4))/((g**(1/8)/g)/g*g**(2/21)*(g/g**(1/4)*g)/((g**(-1/11)*g)/g)) assuming g is positive.
g**(269653/27720)
Simplify (((d/((d**(-1/7)/d*d)/d))/d*d)**(-39/4)*(d/(d**(-2/23)/d))**(-1/4))**(-3/13) assuming d is positive.
d**(41373/8372)
Simplify ((a**16*a)**14/((a**25/a)/(a/(a**(-7/5)/a)*a*a)))**(-8) assuming a is positive.
a**(-8776/5)
Simplify (j**(-1)*j*j**(3/10)/j*((j*(j**(-1/8)/j)/j*j)/j)/(j/(j*j/(((j/j**0)/j)/j)*j)))/(j**1/j**1*(j*
|
{
"pile_set_name": "DM Mathematics"
}
|
10)
Simplify (v/((v**(-4)*v)/v*v))/(v/v**(10/9)) assuming v is positive.
v**(37/9)
Simplify l**15/l**(11/3) assuming l is positive.
l**(34/3)
Simplify (x/(x/(x**(3/8)*x))*x)/(x**4/x)*(x**1)**(2/49) assuming x is positive.
x**(-229/392)
Simplify (y*y**(-1))**(-48)*y**(4/3)*y**(1/3)*y assuming y is positive.
y**(8/3)
Simplify (((c**(-2/7)/c)/c)/c)/(c**1/c)*(c/(c*c**4))/c**(-7) assuming c is positive.
c**(-2/7)
Simplify (p*p*p**(-2/39)*p)**(-3/2) assuming p is positive.
p**(-115/26)
Simplify ((r*r/((r/r**(-11)*r)/r))/r**(-21))**(5/19) assuming r is positive.
r**(55/19)
Simplify (k/(k*k**(2/23)))/k**(-16) assuming k is positive.
k**(366/23)
Simplify (o/(o/(o**25*o)))/o**12 assuming o is positive.
o**14
Simplify (q/q**(-4))**(5/4) assuming q is positive.
q**(25/4)
Simplify (i**(2/47))**(-2/89) assuming i is positive.
i**(-4/4183)
Simplify (x/(((x/((x*x/(x*x/(((x*x**(-2)*x)/x)/x)*x*x*x))/x*x)*x)/x)/x)*x)/(x*x/(x/x**(-2/13))) assuming x is positive.
x**(-50/13)
Simplify (k/(k*k**(2/3))*k/((k**(-9)/k)/k))**(-3/7) assuming k is positive.
k**(-34/7)
Simplify (u**(2/5)*u*u)**(-2/61)/((u**(-2/7)/u)/u)**5 assuming u is positive.
u**(24232/2135)
Simplify (c**(-1/3))**(-8)*c**(-3/7)/(((c**(-2)/c)/c)/c) assuming c is positive.
c**(152/21)
Simplify (a/(a*(a*a*a**(1/24))/a*a))/a**(-24) assuming a is positive.
a**(527/24)
Simplify (z**0)**(-12)/(z/(z/(z/z**(-1/4))))**34 assuming z is positive.
z**(-85/2)
Simplify (p**1/p)/(((((p/((p/(p*p**1*p)*p)/p)*p*p)/p)/p)/p)/p)*(p**(1/4)*p)/(p/(p*p**(-6)*p*p)) assuming p is positive.
p**(-15/4)
Simplify ((g*g**(-2/9))**(-4/9))**(-36) assuming g is positive.
g**(112/9)
Simplify (b/(b**3*b*b))/(b/(b*b**(-2)/b*b))*b**(2/11)/(b**(1/3)/b) assuming b is positive.
b**(-170/33)
Simplify (b*b*b*b*b**(-3/13)/b)/b**(-4/7) assuming b is positive.
b**(304/91)
Simplify (h/(h/((h/h**(-2))/h*h)))**(-19/3) assuming h is positive.
h**(-19)
Simplify ((p*p**(2/9)/p)**0)**(8/3) assuming p is positive.
1
Simplify a/(a**46*a*a)*a**(-17) assuming a is positive.
a**(-64)
Simplify (k*k**1*k)**(-2/9)/((k/(k**7/k))/(k*k**(-2/7))) assuming k is positive.
k**(106/21)
Simplify f/(f/f**28)*f*f**(-22) assuming f is positive.
f**7
Simplify (k**(-1)*k)**37*(k**0*k)**(-2/9) assuming k is positive.
k**(-2/9)
Simplify (w**8)**33 assuming w is positive.
w**264
Simplify m/m**(-9)*(m**4/m)/m*m assuming m is positive.
m**13
Simplify ((((l**(2/7)*l)/l)/l)/(l*l*l**(-3)))/(l/l**(-2/7))**(-44) assuming l is positive.
l**(398/7)
Simplify (z*z/(z/z**(-5/3))*z)/((z*z**(-25)/z)/z) assuming z is positive.
z**(79/3)
Simplify ((r/r**(-7)*r*r)/((((r**(4/7)*r)/r*r)/r)/r))/(r**2)**29 assuming r is positive.
r**(-333/7)
Simplify ((g**2*g)/g**0)**(-4/7) assuming g is positive.
g**(-12/7)
Simplify (w**(-2/9)/(w*w/(w*w**(-4)*w*w)*w*w))/(w**(2/7)/w**(-1/5)) assuming w is positive.
w**(-1798/315)
Simplify ((m**(-4/3))**(-3/7))**40 assuming m is positive.
m**(160/7)
Simplify (s**11)**(-27) assuming s is positive.
s**(-297)
Simplify ((t/(t*t*t/(t*t**(2/3)*t*t)))/(t*t*t*t**(1/4)))**(-33) assuming t is positive.
t**(209/4)
Simplify (b**(-4)/b)**(3/14) assuming b is positive.
b**(-15/14)
Simplify ((c**(-2/9))**(-9))**44 assuming c is positive.
c**88
Simplify (b*b/(b/(b/(b/(b/b**0)*b)*b)*b))/(b**19*b) assuming b is positive.
b**(-19)
Simplify ((s**(2/5)*s)**(44/3))**(-16) assuming s is positive.
s**(-4928/15)
Simplify (u**11/u)/((u/u**(-6))/u) assuming u is positive.
u**4
Simplify (t/((t*t*t*((t**(12/5)*t*t)/t)/t*t*t)/t))/(t**3/t) assuming t is positive.
t**(-37/5)
Simplify (l**(-8)*l*l**(-4/3)/l*l)/(l**(-1/4))**(-46) assuming l is positive.
l**(-119/6)
Simplify ((l/l**(1/3))/l)/l*l**4*l**(-2/13)/(l**(-6/7)/l) assuming l is positive.
l**(1193/273)
Simplify b*b/b**(-1/10)*b*b**(-2/15) assuming b is positive.
b**(89/30)
Simplify m**21/m**(-2/3) assuming m is positive.
m**(65/3)
Simplify (o**(5/2)/((o/o**7)/o))**(5/2) assuming o is positive.
o**(95/4)
Simplify (f*f**(-14/3))**2 assuming f is positive.
f**(-22/3)
Simplify ((y**(-1/2))**(-21))**(-3/31) assuming y is positive.
y**(-63/62)
Simplify (v**(-2/3)*v)**3*v**(-1/9)*v**(-3)/v assuming v is positive.
v**(-28/9)
Simplify g**(-3/13)/g**(-4) assuming g is positive.
g**(49/13)
Simplify (c/c**20)/c*c**(5/3) assuming c is positive.
c**(-55/3)
Simplify w**(7/6)*w**(-1/4)*w assuming w is positive.
w**(23/12)
Simplify v**(-2/21)*v**(-16) assuming v is positive.
v**(-338/21)
Simplify ((c**(2/5)/c)/c)**18*c/(c/((c*c**(1/3))/c))*c**(1/3) assuming c is positive.
c**(-422/15)
Simplify (c/(c**(-9)/c))/c**5*((c*c**(2/11)/c)/c)/(c*c**(7/2)) assuming c is positive.
c**(15/22)
Simplify (c**2*c)/(c/c**(-1/5))*((c**(-6)/c)/c)/c**1 assuming c is positive.
c**(-36/5)
Simplify ((i**2*i)/((i/(i*i*i**(7/5)*i))/i))**(-32) assuming i is positive.
i**(-1184/5)
Simplify ((z*z**(-9))/(z**(2/3)/z))/((z*z*z/z**(2/17))/z**(-7)) assuming z is positive.
z**(-895/51)
Simplify (h**11*h)/(h/h**(2/35)) assuming h is positive.
h**(387/35)
Simplify (d*(d*d*d/(d**(-3/8)*d))/d*d*d*d/d**5)/(((d/(d/(d*d**(-1))))/d)/d*d/((d/d**(-1/5)*d*d)/d)) assuming d is positive.
d**(143/40)
Simplify (q**(-31))**(-8) assuming q is positive.
q**248
Simplify (f**(1/3)*f/(f/f**(3/2))*f)/(((f**(-3/7)*f*f)/f)/(f*f**(-2)/f)) assuming f is positive.
f**(11/42)
Simplify (j**(-1/3))**(-3/5) assuming j is positive.
j**(1/5)
Simplify (f**(1/4)*f*f*f**(-1/10))/((f*f**(-3/7))/(f/f**(2/17))) assuming f is positive.
f**(5857/2380)
Simplify (p*p**2)/(p**(1/6)*p*p)*(((p**(1/2)/p)/p)/p)**(-38) assuming p is positive.
p**(575/6)
Simplify ((k/(k/k**4*k))/k*k)/k*k*k*k**(-13)*k assuming k is positive.
k**(-8)
Simplify (u/u**(-2/39))/(u*((u/((u*((u/u**10)/u)/u)/u)*u*u)/u)/u) assuming u is positive.
u**(-466/39)
Simplify (x**(3/2)/x)/(x/(x*x*x/(x/(x/x**(-4/7)*x))*x))*(x**2*x)/(x*x*x*x/(x**(-6)/x)) assuming x is positive.
x**(-41/14)
Simplify u**(-4)*u*u*u*(u**(-1/11)/u)/u assuming u is positive.
u**(-34/11)
Simplify (f*(f*f*f**5)/f*f)/((f**(-34/5)/f)/f) assuming f is positive.
f**(84/5)
Simplify (k*k*k**(4/11)*k)/(k**(-29)*k*k) assuming k is positive.
k**(334/11)
Simplify (z**26*z)/z*z*z*z**25 assuming z is positive.
z**53
Simplify (u/(u*u**(-5/2)*u))/u*u/(u/(((u*u*(u*u*u**(1/6)*u)/u*u*u)/u*u)/u))*(u/(u*((u*u**(2/7))/u)/u*u*u))**32 assuming u is positive.
u**(-745/21)
Simplify g**(1/9)*g/((g*g*g**(-8)*g)/g) assuming g is positive.
g**(64/9)
Simplify (y**(-3/22)/y)**40 assuming y is positive.
y**(-500/11)
Simplify ((f/(f**(-3/8)/f))/f*f*f*f)/f*f**7/f*f assuming f is positive.
f**(83/8)
Simplify (a/(a/a**1))/(a**(-2/3)*a) assuming a is positive.
a**(2/3)
Simplify (q/(q*q/(q*(q/(((q/((q**7/q)/q))/q)/q))/q)))**50 assuming q is positive.
q**300
Simplify r/((((r*r**15*r)/r)/r)/r)*r*r*r**(3/5) assuming r is positive.
r**(-52/5)
Simplify i/(i/(i/i**(2/25)*i)*i)*i*i**28 assuming i is positive.
i**(748/25)
Simplify j*j/(j*j*j**32)*((j/(j**28/j)*j*j)/j)/j assuming j is positive.
j**(-58)
Simplify p/(p*p*p/(p/(p**24/p)))*(p/(p/((p/(p/p**(-12))*p)/p)))/p assuming p is positive.
p**(-37)
Simplify g*g**(-21)*g/(g*g**(-20)) assuming g is positive.
1
Simplify (o**(-1/2)/o)**(-22/7)/(o**(-3)/o*o/o**(-1/2)) assuming o is positive.
o**(101/14)
Simplify l/(l/(l*((l/(l*l**31))/l)/l))*l**(-2/21) assuming l is positive.
l**(-674/21)
Simplify (d/(d**(-20)*d*d))/d*d*d*d*(d*d**36/d*d)/d*d assuming d is positive.
d**58
Simplify ((y/(y/(y**(-9)/y)))/(y*y**0*y))**(-14/11) assuming y is positive.
y**(168/11)
Simplify a/((a/(a/a**5))/a)*(a*a**(1/11)*a)/a*a*a assuming a is positive.
a**(1/11)
Simplify (w/w**(-3)*w)/w*w**(2/27) assuming w is positive.
w**(110/27)
Simplify (k/(k/k**(-6/11)))/k*k*k/((((k**(-9/4)/k)/k)/k*k)/k) assuming k is positive.
k**(251/44)
Simplify g**(-39)/g*g*g**39 assuming g is positive.
1
Simplify (l**(1/3)*l)**(-18/11)*(l**7*l*l)/l**(5/2) assuming l is positive.
l**(95/22)
Simplify (((b/b**14)/b*b)/(b/b**20))**(2/3) assuming b is positive.
b**4
Simplify g**(-26)*g/(g/g**(10/11)*g*g)*g assuming g is positive.
g**(-287/11)
Simplify (d*d**(-1/10)/d)/d*d*d/(d/(d*d*d**(-1/4)))*d*d*(d*(d**(-5)/d)/d)/d*d/(d*d*(d**(3/5)*d)/d) assuming d is positive.
d**(-99/20)
Simplify (m/(m*m/(m/(m**(-11)/m*m)))*m)/(m/(m*(m*m/(m/(m**26/m))*m)/m)*m) assuming m is positive.
m**37
Simplify (q*q**(-3/22)/q*q*q**(-3/13))**(-1/41) assuming q is positive.
|
{
"pile_set_name": "DM Mathematics"
}
|
4*x + 6*x to the form n*x**2 + j*x**3 + h + t*x and give n.
0
Rearrange (s**2 + 3*s**2 - 2*s**2)*(-s - 65 - s + 68) to the form p + r*s + q*s**2 + v*s**3 and give v.
-4
Rearrange -25*l + 25*l - l**2 + 0 + 2 + 0 - l**2 + (5*l + 0*l - 3*l)*(2*l - 3*l + 0*l) + l**2 - l**2 - 2*l**2 to the form x*l + k*l**2 + n and give k.
-6
Rearrange (b**2 - b**2 + 2*b**2)*(-4 + 4 + 2) + (b**2 + b - b)*(-4 + 7 - 2) to k*b**2 + h + g*b and give k.
5
Express (-17*s**2 - 27*s**2 - 31*s**2)*(s + 3*s + s) as i*s + x + j*s**3 + y*s**2 and give y.
0
Express 9*y**2 + 4*y**2 - 5*y**2 + (3*y - y + 0*y)*(y - 2*y - 2*y) in the form l*y + s + r*y**2 and give r.
2
Express (0 + 2 + 6)*(2 - 15 + 7)*(g + 2*g + 2*g) as y*g + z and give y.
-240
Rearrange -3*h**4 - h**3 + 3*h**2 + 2*h - 3*h**4 + 5*h**4 to the form x*h**3 + f*h**2 + z*h**4 + d*h + u and give f.
3
Express 0*n - 3*n - n - 4*n in the form t + c*n and give c.
-8
Express 0*n + 13*n - n - 4*n as z + m*n and give m.
8
Express (-4 + 2 + 0)*(9*l + 10*l - 7*l) - 2 - 5*l + 2 - 2 in the form z + m*l and give z.
-2
Express -c + 2*c - 3*c + (-1 - 2 + 1)*(-5*c + 4*c + 3*c) + (1 + 0 + 2)*(-29 - 8*c + 29) as s*c + n and give s.
-30
Rearrange (5 - 4 + 3)*(-4*k - 13*k + 6*k) to n*k + z and give n.
-44
Express -9*h + 8*h - 6*h - 12*h as n + i*h and give i.
-19
Rearrange 2 + 2 - a**2 - 10*a**3 + a**4 + a - 3 + 4*a**3 to h + v*a**4 + g*a**2 + u*a**3 + l*a and give u.
-6
Rearrange -5*x + 11 + 7 - 18 + 5*x**3 to q*x + v*x**3 + z*x**2 + g and give v.
5
Express 3*q**3 - 2*q - 14*q**3 + 8*q**4 - 6*q**4 - q**3 as h + g*q**3 + f*q + r*q**4 + j*q**2 and give f.
-2
Rearrange (2 - 11 + 0)*(2*j**2 - 2*j**4 - 2*j**2) to the form i*j**4 + c*j**3 + d*j + h*j**2 + o and give h.
0
Rearrange m + 0*m + m + (-2 + 0 + 0)*(m - m + 2*m) - m + 0 + 0 - 6*m + 6*m + 5*m to p + h*m and give p.
0
Express -29*i + 83 - 83 in the form j*i + f and give f.
0
Rearrange -3*a**2 + 0*a**2 + 15 + 2*a**2 + 2*a**2 to m*a + v + f*a**2 and give v.
15
Rearrange 12 - 29 + 17 + 2*l + 3*l**3 to the form u*l + x*l**3 + a*l**2 + s and give x.
3
Rearrange (1 + 2 - 2)*(z**2 + 0 + 0) + (0*z**2 + 0*z**2 - 2*z**2)*(2 - 1 - 4) to the form y*z**2 + g*z + o and give y.
7
Express 8*s + 1 - 1 + 16*s + 2*s**3 as w + n*s**2 + h*s + z*s**3 and give h.
24
Rearrange ((-j - 3*j + 2*j)*(-3 - 1 + 1) + 0*j - 2*j + j - j + j - j)*(-j**2 + 5 - 5) to the form k*j**2 + i + r*j**3 + n*j and give r.
-4
Rearrange 5*w + 0 - 13*w - 2*w**3 - 1 + 24*w to the form p + u*w**3 + z*w**2 + k*w and give k.
16
Express ((-3 + 5 - 3)*(2 - 3 + 2) + 2 - 2 - 2 - 1 + 3 - 3 + (2 + 0 + 0)*(3 + 0 - 2))*(-2*q + 2*q + 3*q) as x + g*q and give g.
-6
Rearrange 0 + 3*k**2 + 5 - 2*k**2 to x + i*k**2 + l*k and give x.
5
Rearrange -7*b**2 - 42*b**3 - 3 + 22*b**3 + 23*b**3 to the form c + w*b**2 + y*b + u*b**3 and give y.
0
Express (4 - 1 - 1)*(-14*z**2 + 8*z**2 + 8*z**2) as n + c*z + l*z**2 and give n.
0
Rearrange -19 - 3*s**2 - s**2 - s**3 + 15 + s**2 to the form q*s + t + o*s**2 + b*s**3 and give o.
-3
Express -2*y**2 - 6*y**2 - 2*y**2 + (0*y + 0*y + 4*y)*(0*y + 4*y - y) in the form x*y**2 + b*y + r and give x.
2
Rearrange (-4*l + 1 - 3*l + 3*l)*(-l**2 + 6 - 6) to the form j*l**2 + v*l + s*l**3 + z and give j.
-1
Express ((-3*q + q + 4*q)*(-2*q - 2 + 2) - 3 + 3 + q**2 - q + q + 4*q**2)*(0 - 2 - 3) as y + f*q + j*q**2 and give j.
-5
Express -g - 5 + 5 + (-g + 0*g + 0*g)*(-7 + 4 + 4) + g + 0*g + 0*g as f + q*g and give q.
-1
Rearrange -7 + 2*d**3 - 1871*d**2 - d + 1871*d**2 to h*d + g*d**2 + a*d**3 + m and give a.
2
Rearrange -4 - 19*q + 6*q + 1 - q**2 + 6*q to the form p*q + b*q**2 + t and give t.
-3
Express (4*l - 5*l - 2*l)*(2 - 4 - 7) as b + t*l and give t.
27
Rearrange (0 + 1 + 1)*(4 + 25*b**2 + 22*b**2 - 20*b**2) + 2*b - b**2 - 2*b to y + m*b + s*b**2 and give y.
8
Express (3 - 3 - 2)*(5*j - j - 5*j) - 3*j - j + j in the form v + p*j and give p.
-1
Express (15*a**2 - 5*a**3 + 2*a**3 + 2*a**3)*(-1 + 1 - 4) as u*a**2 + p + l*a + m*a**3 and give u.
-60
Express (0*s - s + 0*s)*((0 + 2 + 0)*(2 - 2 + 2) + 1005 - 2521 + 1095)*(s - s + s**2) in the form x*s + l + i*s**2 + q*s**3 and give q.
417
Rearrange -4*k - 20*k - 7*k to the form l*k + f and give l.
-31
Rearrange -21*t - 4 + 6*t + 4 to r*t + h and give r.
-15
Rearrange (-2*a + 4*a + 14 + 4)*(0 + 2 + 0*a**2 - a**2) to g*a**2 + q*a + b + v*a**3 and give g.
-18
Express (3 - 3 + s**2)*(-5*s + 4*s + 0*s) - 18*s**3 + 127*s - 127*s + (-2*s + 2 - 2)*(s**2 - 3*s + 3*s) as i*s**2 + z + p*s + v*s**3 and give v.
-21
Rearrange (0 - 2*t**2 + 0)*(0*t + 0*t - t**2 + (1 - 2 + 3)*(7*t - 7*t + 29*t**2)) to j*t**2 + r + w*t**3 + g*t + p*t**4 and give p.
-114
Rearrange (-5*g - 8*g - 2*g + 5*g - 3*g + 0*g + (-2*g + g - g)*(0 - 1 + 0))*(3 + 1 - 3) to w + d*g and give d.
-11
Express -1 - 3*o**4 + 4*o**3 + 2*o + o**4 + 2 as x*o**4 + g*o**3 + b*o**2 + p + d*o and give d.
2
Express 1 - 15*b - b**2 + 3*b**3 - 3*b**3 + 16*b - 9*b**3 in the form t*b**2 + v*b + r*b**3 + m and give t.
-1
Rearrange -67*b - 67*b + 46*b**2 + 134*b to q*b**2 + g + j*b and give q.
46
Rearrange (4*j - 3*j - 2*j)*(-2 - 1 + 1)*(2 + 22 - 1)*(-3*j + 0*j + j) to the form v + y*j + k*j**2 and give k.
-92
Rearrange 5*x**2 + 2*x + 0 + 0 - 6*x**2 - x**3 to the form b + g*x**3 + z*x**2 + v*x and give v.
2
Express -4*r**4 + 2*r**3 + 2*r**4 + 6*r**4 - r**2 - r - 2*r**4 in the form i*r**3 + h*r**4 + p + t*r**2 + g*r and give t.
-1
Express (-3*i**2 + i**2 + 4*i**2)*(-i - 3*i + 3*i) - 21*i**3 + 6*i - 6*i in the form a + m*i**3 + j*i + b*i**2 and give m.
-23
Express (-3*d - 2*d + 3*d)*(-1 + 0 - 2) - d + 0*d - d as i*d + m and give i.
4
Rearrange (82*t**4 - 44*t**4 - 45*t**4)*(1 - 2 - 1) to q*t**3 + k + d*t + w*t**2 + c*t**4 and give c.
14
Rearrange 44*a - 39*a + 60*a to the form w*a + h and give w.
65
Express 13*j - 26 + 13 + 13 in the form g + d*j and give g.
0
Rearrange 5*v**3 + 4*v**3 + 1 - 9*v**3 - v**4 - v to the form n*v**3 + s*v**2 + j*v**4 + p*v + i and give p.
-1
Express -5*x - 8*x + 4*x as l + b*x and give b.
-9
Express x**2 + 2 + 14*x**4 - 2*x**3 - x + 3*x - 4*x**4 - 12*x**4 as u + i*x + g*x**2 + o*x**4 + l*x**3 and give o.
-2
Rearrange (2*s**3 - s**2 + s**2)*(155*s - 74*s + 98*s) to the form b*s + p*s**4 + t*s**2 + l + i*s**3 and give p.
358
Express 1 - 1 - 1 - 15*s + (1 + 2 - 1)*(0 + 0 - s) as z*s + i and give i.
-1
Express r**3 + 9*r + 3*r - 20*r - 2*r**2 as w + h*r**2 + n*r + b*r**3 and give b.
1
Rearrange (-x - 1 + 1)*(38 - 38 + 42*x**3) to c*x**2 + d*x + u + m*x**3 + t*x**4 and give d.
0
Express (3*h + h - 3*h)*(2*h - 4 + 4)*(2 - 2 - 2*h**2) in the form a*h**4 + w*h**2 + q*h + s + b*h**3 and give a.
-4
Express -1 + 2*z**2 - z**4 - 2*z**2 + 0 - z - 4*z**3 in the form v*z**4 + m*z + t + r*z**3 + j*z**2 and give v.
-1
Rearrange -3*n**3 + 0*n**3 + 3*n + 3*n to the form u*n**3 + h*n + f + a*n**2 and give u.
-3
Express 43*h**3 - 3*h**4 - 45*h**3 - h**2 + 8 - 4 in the form j + z*h + g*h**2 + k*h**3 + s*h**4 and give s.
-3
Express ((-2 - 1 + 1)*(-3 + 4 - 2) - 3 + 2 + 0)*(11958*x**2 + 8*x - 11958*x**2 + x**3) in the form g + l*x + o*x**2 + f*x**3 and give l.
8
Express -16*v + 2*v - 4*v as o*v + z and give o.
-18
Express 2*d**2 - 2*d**3 - d**4 + 2*d**2 - 5*d**2 in the form u*d**2 + m*d**3 + c*d**4 + i*d + l and give c.
-1
Rearrange -2*u**4 - u**4 - 2*u**3 - 19*u**2 + 1 - u + 5*u**2 + 12*u**2 to v*u**3 + o*u**2 + m*u**4 + y*u + q and give o.
-2
Express 24*k + 11 - 23 + 10 + 2*k + 4 - 4 - 2*k + 0*k + 4*k + (5*k - 2*k - k)*(-1 - 3 + 5) + 0*k + 0*k + k + k + 0*k + k as x + j*k and give x.
-2
Rearrange 33*h**2 + 18*h**2 - 112*h**2 to the form d*h**2 + p*h + a and give d.
-61
Rearrange -10 - 7 + 0*v - 6*v + 8*v to x*v + y and give y.
-17
Rearrange -4*w**2 - 34 + 16 + 0*w**2 + 22 to i + l*w**2 + u*w and give l.
-4
Rearrange (-1 + 4 - 2)*(4*j - 4*j + 8*j) - 3 + j + 3 + (0*j + 2*j - 6*j)*(-2 + 4 + 0) to the form k + p*j and give p.
1
Rearrange (17*l**2 + 15 - 15)*(-l - 5*l + 4*l) + l**3 + 3*l**3 - 3*l**3 to the form c*l**3 + u + g*l**2 + r*l and give c.
-33
Rearrange 24*h**2 + 2 + 2*h**3 - 22*h**2 + 0*h**3 - h**4 to u*h**4 + b*h + g*h**3 + o + y*h**2 and give u.
-1
Rearrange -3 + 4 - 16*p**2 + p**4 - 2*p + 4*p to t*p**4 + l + j*p**3 + i*p + r*p**2 and give l.
1
Express -9*v**2 - 1 + 5*v**2 + v**2 as y + n*v + c*v**2 and give c.
-3
Rearrange (2*c - 7*c
|
{
"pile_set_name": "DM Mathematics"
}
|
59*c + 2767*c - 11093*c.
-41*c
Collect the terms in -2*l + 8747001*l**2 - 663*l**3 - 4373502*l**2 - 4373499*l**2.
-663*l**3 - 2*l
Collect the terms in 139761 + 11*s + 139746 + 139766 - 419273.
11*s
Collect the terms in 11*u - 12*u + 5*u + 3*u - 18 - 4*u**2 + 14.
-4*u**2 + 7*u - 4
Collect the terms in -4970028*p**3 - 4969983*p**3 - 6*p**2 + 5*p**2 + p**2 + 9940006*p**3.
-5*p**3
Collect the terms in 7*q + 2*q - 16*q + 7*q + 2372462*q**3 - 2372444*q**3.
18*q**3
Collect the terms in 20 - 513*c - 523*c + 21 - 516*c - 59 + 22 + 1557*c.
5*c + 4
Collect the terms in 4 - 11 - 6*y**3 + 55*y**3 - 46*y**3 + 7.
3*y**3
Collect the terms in 1555847*t + 5 - 4 - 1555849*t.
-2*t + 1
Collect the terms in 7*n**2 - 81*n - 5*n**2 + 2582 + 81*n - 159.
2*n**2 + 2423
Collect the terms in 337*f - 2*f**2 - 213 + 365*f + 120 + 93 - 701*f.
-2*f**2 + f
Collect the terms in 2398*r - 135733*r**3 - 2398*r + 135534*r**3.
-199*r**3
Collect the terms in -4*x**2 + 4*x**2 + 193*x - 193*x + 349*x**3.
349*x**3
Collect the terms in 1342948*l - 1342958*l + 4 - 4.
-10*l
Collect the terms in 744214*t + 744220*t - 1488414*t.
20*t
Collect the terms in -13*d + 110 - 49 - 39 - 37 + 14*d.
d - 15
Collect the terms in -3 + 6059*u + 3 + 65841*u.
71900*u
Collect the terms in 33*q**3 + q - q - 17*q**2 + 2 - 64*q**2 + 18*q**2.
33*q**3 - 63*q**2 + 2
Collect the terms in -46247*x**2 - 52365*x**2 + 98615*x**2.
3*x**2
Collect the terms in -829*d**3 + 255*d**3 - 270*d - 274*d - 570*d**3 + 544*d - 3*d**2.
-1144*d**3 - 3*d**2
Collect the terms in -234 + 2707*u + 467 - 15*u + 256*u - 232.
2948*u + 1
Collect the terms in 15700*a - 7843*a - 7857*a - 9794*a**2.
-9794*a**2
Collect the terms in 370286*w - 1112600*w + 370291*w + 371997*w.
-26*w
Collect the terms in -59*j + 127*j - 68*j + 10928*j**2.
10928*j**2
Collect the terms in -42272468*b + 21136290*b + 21136174*b.
-4*b
Collect the terms in 9 - 12 + 4 + 988*x**3 - 11 + 10.
988*x**3
Collect the terms in -499*m**2 + 42*m**2 - 645*m + 1093*m - 449*m.
-457*m**2 - m
Collect the terms in -17*o - 151*o**2 - 43*o**2 + 48*o**2.
-146*o**2 - 17*o
Collect the terms in -17062126 + 7679*g + 17062126.
7679*g
Collect the terms in 50*l**2 + 165893 + 165858 - 331751.
50*l**2
Collect the terms in 14*t - 5*t - 5*t + 15662 - 18659.
4*t - 2997
Collect the terms in -15*x - 17 + 5555*x + 2777*x + 5155*x.
13472*x - 17
Collect the terms in -92*p - 4*p**2 - 118*p + 307*p + 7*p**2 - 112*p.
3*p**2 - 15*p
Collect the terms in 1178*m + 144 + 147 + 137 - 570 + 142.
1178*m
Collect the terms in -106*i**3 - 218*i**3 - 340*i**3 - 212*i**3 + 881*i**3.
5*i**3
Collect the terms in 40*j + 652 - 22*j + 4*j**3 - 18*j - 736.
4*j**3 - 84
Collect the terms in -65*p + 118 + 101 - 219 + 162*p.
97*p
Collect the terms in 273*j + 280*j + 338*j - 897*j.
-6*j
Collect the terms in -1831218*r + 3889258*r - 3877924*r - 11465714*r.
-13285598*r
Collect the terms in -2*h + 196 + 4*h**3 - 103 - 95 - 2253*h**2.
4*h**3 - 2253*h**2 - 2*h - 2
Collect the terms in -130*j**3 + 1040306*j**2 - 1040306*j**2.
-130*j**3
Collect the terms in 500*s + 295*s**2 + 52*s**2 + 88*s**2.
435*s**2 + 500*s
Collect the terms in -8981*p**3 - 144865*p**3 - 127987*p**3.
-281833*p**3
Collect the terms in 25*u - 14484*u**3 - 9*u - 16*u - 6541*u**3.
-21025*u**3
Collect the terms in -7834 + 2011 + 2*s**3 + 5823.
2*s**3
Collect the terms in 4167*v + 143*v - 1940*v + 31339*v.
33709*v
Collect the terms in -88333 + 17*h**2 + 0*h**2 + h**2 + 17*h**2 - 24*h**2 + 88335.
11*h**2 + 2
Collect the terms in -41*v - 13*v - 5 + 140*v - 48*v.
38*v - 5
Collect the terms in -29*h + 50 - 39*h - 44*h + 534 + 117*h.
5*h + 584
Collect the terms in 7*p**2 + 8*p**2 + 19901*p - 23 - 13*p**2.
2*p**2 + 19901*p - 23
Collect the terms in -11 - 1472*r**2 + 4430*r**2 - 1466*r**2 + 11 - 1476*r**2.
16*r**2
Collect the terms in 29*x**3 - 233 + 4*x**2 - 285 - 151*x**3 + 518.
-122*x**3 + 4*x**2
Collect the terms in 4*a + 4 + 300*a + 5*a - a**2 - 4.
-a**2 + 309*a
Collect the terms in 29*l + 29*l - 48*l**3 - 58*l - 62*l**3 + 213*l**3 - 52*l**3 - 52*l**3.
-l**3
Collect the terms in -6 - 725*b + 362*b + 363*b - 1 + 20*b**3.
20*b**3 - 7
Collect the terms in 2 - 2 + 1182*k**2 - 1089*k**2.
93*k**2
Collect the terms in i**2 + 284 + 6*i - 5*i - 89 - 185 - 276.
i**2 + i - 266
Collect the terms in -676876 - 55*k**2 + 28*k**2 - 3*k + 676876 + 30*k**2.
3*k**2 - 3*k
Collect the terms in -225797 + 112901 + 112896 - 5*u.
-5*u
Collect the terms in 244*r**2 - 1308*r**2 - 500*r**2 - 2807*r**2 - 313*r**2.
-4684*r**2
Collect the terms in -264*c**3 + 882*c**3 + 895*c**3 - 1505*c**3.
8*c**3
Collect the terms in 41*a + 2078 + 38*a + 32*a - 114*a.
-3*a + 2078
Collect the terms in -5492*y**2 + 6*y**3 + 1850*y**2 - 18*y**3 + 1822*y**2 + 8*y**3 + 1820*y**2.
-4*y**3
Collect the terms in 95 + 1008*n**2 - 195 + 100 + 912*n**2.
1920*n**2
Collect the terms in -21540*d**2 - 110 + d + 110.
-21540*d**2 + d
Collect the terms in 2314767 - 771588 - 771594 - 771594 + 22*b**2.
22*b**2 - 9
Collect the terms in 826*n + 347*n - 37 - 40 - 56*n.
1117*n - 77
Collect the terms in 39525 - 79053 + 1568*s**2 + 39528.
1568*s**2
Collect the terms in -477*f + 235*f + 240*f - 59*f**2 - 116*f**2.
-175*f**2 - 2*f
Collect the terms in -18966 + 6323 + 3522*f + 6319 + 6324.
3522*f
Collect the terms in -191339916759 + 191339916759 - 90*q.
-90*q
Collect the terms in -169*y**3 + 356*y**3 + 21669*y**2 + 209*y**3 - 21669*y**2.
396*y**3
Collect the terms in -2638*a + 8131*a - 3508*a - 3021*a.
-1036*a
Collect the terms in 3*g**3 + 95284893012004 - 95284893012004.
3*g**3
Collect the terms in 406 + 1399387612*x - 110 - 1399387611*x.
x + 296
Collect the terms in -234608269 - 10*t + 469216540 - 234608271.
-10*t
Collect the terms in 3987*v + 52214*v**2 - 1992*v - 1993*v.
52214*v**2 + 2*v
Collect the terms in -289587*n + 18 - 9 - 9.
-289587*n
Collect the terms in 511 + 614 - 3*a - 286 + 637 - 174.
-3*a + 1302
Collect the terms in 0*j - j - 85657*j**2 + j + 85722*j**2.
65*j**2
Collect the terms in -7 + 9 + 245463*q - 245702*q.
-239*q + 2
Collect the terms in 18 + 55 - 2*t**2 + 3*t**2 - 53 + 109.
t**2 + 129
Collect the terms in 27 + 28 + 36 + 28 - 116 + 2*q + 4*q.
6*q + 3
Collect the terms in 132*i**3 - 10694 + 5325 - 298*i**3 + 5369.
-166*i**3
Collect the terms in 2 + 23 + 1885*c**3 + 1 - 26.
1885*c**3
Collect the terms in 85*o**2 + 5*o + 22 + 0*o - 70 - 13*o + 4*o.
85*o**2 - 4*o - 48
Collect the terms in -5337*r**3 + 1480*r**3 - 2185*r**3.
-6042*r**3
Collect the terms in 2661832*g - 3*g**2 - 1330525*g - 1331307*g.
-3*g**2
Collect the terms in -51*a - 141*a - 45*a**2 + 49 + 61*a**2.
16*a**2 - 192*a + 49
Collect the terms in 310*u + 1 + 5*u**3 - 2578*u + 1343*u - 2806*u.
5*u**3 - 3731*u + 1
Collect the terms in 83*b + 16920 - 5587 - 5673 - 5660.
83*b
Collect the terms in -10*a - 16*a + 6*a + 5747 - 2*a - 5771.
-22*a - 24
Collect the terms in -32544049780*g + 3*g**2 + 16272024888*g + 3*g**2 + 16272024892*g.
6*g**2
Collect the terms in 406*g**2 - 102*g**2 - 272*g**2.
32*g**2
Collect the terms in -84913*o**2 - 84780*o**2 + 169694*o**2.
o**2
Collect the terms in 8*g**2 - 7161475731*g + 7161475731*g.
8*g**2
Collect the terms in -414889572*m + 2 - 2 + 414890760*m.
1188*m
Collect the terms in -363*h - 2131*h - 577*h + 1053*h.
-2018*h
Collect the terms in 188*c**2 - 310*c**2 - 789*c**2 + 910*c**2.
-c**2
Collect the terms in -101*s + 117*s + 236 + 68*s.
84*s + 236
Collect the terms in 7401*h - 775*h - 6415*h.
211*h
Collect the terms in 967*a**2 + 946*a**2 + 955*a**2 + 931*a**2 - 3778*a**2.
21*a**2
Collect the terms in 8*l + 5*l - 2639*l**2 + 10*l - 48*l + 25*l.
-2639*l**2
Collect the terms in 30*z**3 + 84*z**3 - 205*z**3 + 58*z**3 + 35*z**3 - 6.
2*z**3 - 6
Collect the terms in 2002*h**3 - 25*h**2 + 8910*h**3 + 25*h**2.
10912*h**3
Collect the terms in -166857*f - 166832*f - 166857*f + 500550*f.
4*f
Collect the terms in -105*s + 169*s - 107*s + 3*s**2 + 14.
3*s**2 - 43*s + 14
Collect the terms in 4*q**3 + 4450936674872 - 4450936674872.
4*q**3
Collect the terms in -10*c + 10*c + 0*c - 10295188*c**2.
-10295188*c**2
Collect the terms in 9 - 21 + 5 - 7236*j + 7.
-7236*j
Collect the terms in 34*r - 9890 + 29*r - 61*r.
2*r - 9890
Collect the terms in -u**2 + 6*u**2 - 967538*u + 967538*u - 5*u**2 + 2*u**2.
2*u**2
Collect the terms in -45*b - 15*b**3 - 5*b**3 - 9 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
0*o - 2*o + (2*o - 2*o - o)*(-1 - 5 - 4))*(-1 - 2*o**3 + 1).
-18*o**4
Expand (-4*f + 0*f + f + (-2 - 4 + 4)*(1 - 1 + 2*f))*(0 - 3*f + 0).
21*f**2
Expand (-2 + 3 + 12)*(0 - 3 + 1)*(-6*w**3 + 5*w**3 - w**3).
52*w**3
Expand (5*r - 4*r - 2*r)*(-4*r + 0*r + 6*r) - 2*r + 2*r - r**2.
-3*r**2
Expand (-2*w + 2*w + 2*w**2)*(2*w - 3*w + 3*w) + 5*w**3 - 6*w**3 - 8*w**3.
-5*w**3
Expand (2 - 2 - 2*m)*(-3 + 3 - m)*(-3 + 4 + 0).
2*m**2
Expand 41*q**2 + 45*q**2 - 94*q**2 + (6*q - 2*q - 3*q)*(-3*q + 0*q + 5*q) - q**2 - q**2 + 4*q**2.
-4*q**2
Expand (2*x + 1 - 1)*(x + 1 - 1 + (2*x - 6*x + 2*x)*(0 + 1 - 3) - x + 3*x - 4*x + 2*x - x + 5*x).
18*x**2
Expand (0*w + 2*w - 11*w)*(3 - 2 - 2).
9*w
Expand -2*q + 5 - 5 - q - q - q + 2 - 2 - q + (-q + q - q)*(-1 + 4 - 1) + 6*q + 2*q - 4*q.
-4*q
Expand ((u + 0 + 0)*(-5 + 3 + 5) + (4 - 2 + 0)*(2*u - 2 + 2) + 0*u + u - 2*u)*(4*u**4 - 3*u**4 + 0*u**4).
6*u**5
Expand (0*s + 6*s - 3*s)*(10*s**4 + 18 - 18) + 2*s**5 + 0*s + 0*s + (s**4 + 2*s**2 - 2*s**2)*(-2*s + s + 2*s) + 5*s**5 - 6*s**5 - s**5.
31*s**5
Expand (h + 0 + 0)*(-h**2 + 15*h - 32*h + 12*h).
-h**3 - 5*h**2
Expand (0*m - 2*m**3 + 0*m)*(-2867 + 2867 - 94*m).
188*m**4
Expand 1 - 7*u + 1 + 2*u + (-2*u + u + 2*u)*(1 - 1 + 4).
-u + 2
Expand (4*z + 11*z - z)*(-2*z - 2*z + 6*z).
28*z**2
Expand (-2*l**4 + 2*l**4 - 4*l**4)*(-2 + 2*l + 4*l - 3*l)*(-5 - 2 + 5).
24*l**5 - 16*l**4
Expand (l + l - 3*l)*(2*l - 6*l - 8*l).
12*l**2
Expand (-2*s**2 - 2*s**2 + 5*s**2 + (-2*s - 2*s + 5*s)*(-s - s + 4*s) - 3*s**2 + 2*s**2 - 3*s**2)*(5*s**2 - 14*s**2 + 4*s**2).
5*s**4
Expand (-3*w + 2*w - w)*(-3*w**4 - 21*w**3 + 36*w**3 + 9*w**3).
6*w**5 - 48*w**4
Expand (-2 + 4 - 1)*(0*f + 0*f - 2*f + (4*f + 0*f - 2*f)*(4 + 0 - 1))*(-4 + 2 + 1).
-4*f
Expand (0 - v**3 + 0)*((3*v + 2*v - 4*v)*(0*v + v + v) + 42 - 42 - 6*v**2).
4*v**5
Expand 2*g + 3*g**4 - 2*g + (-2*g**3 - g**4 + 2*g**3)*(-5 + 4 - 1).
5*g**4
Expand (-5*f**2 + 4*f**2 - f**2 + (-3*f + f + f)*(-2*f + f - f) + 0*f**2 + 3*f**2 + 0*f**2)*(3*f - f + 0*f)*(-2*f + 4*f**2 + 2*f).
24*f**5
Expand y + y**3 - y + (0*y**2 + 2*y**2 - 4*y**2)*(y + 0*y + 2*y) - 4*y**3 + 3*y**3 - 2*y**3 + (2*y**2 - y**2 - 3*y**2)*(0 + 2*y + 0).
-12*y**3
Expand (-2*h**2 + 2*h**2 - 3*h**2)*(2*h + 0*h - h) + (-h + h + h)*(3*h**2 + 2*h**2 - 3*h**2) + 2*h**2 - 2*h**2 - h**3.
-2*h**3
Expand ((-4 + c**2 + 4)*(5 - 2 - 5) + 0*c**2 + c**2 - 5*c**2)*(4*c**2 - 6*c**2 - c**2).
18*c**4
Expand (18 - 18 - 4*i)*(3*i**2 - 3 + 3) - 4 - 2*i**3 + 4.
-14*i**3
Expand o + o - o + (-2*o + 3*o - 3*o)*(-3 + 2 + 3) + 0 + 2*o + 0 + (0*o + o + 0*o)*(1 + 0 + 2).
2*o
Expand (1 - 2 - 1 - 4 - 3 + 6 + (0 + 5 - 3)*(-5 + 2 + 2))*(-6*t**5 + 2*t**5 + t**5).
15*t**5
Expand (-2 + 2 - 2)*(0*n + n + 2*n).
-6*n
Expand (20 - 20 + 8*u - 2*u - 4 + 4 + (2*u + u - 2*u)*(3 + 1 - 6) + 2*u - 4*u + 0*u + u + 3 - 3)*(-u - 3 + 3).
-3*u**2
Expand (14*k + 172 - 172)*(-4*k**2 + 2*k**2 + 3*k**2).
14*k**3
Expand (5*k**2 + 0*k**2 - 3*k**2)*(2*k**2 + 0*k + 0*k) + k - k**4 - k + 8*k - 7*k**4 - 8*k.
-4*k**4
Expand (2*a + 0*a - a)*(-a**4 + 0*a**4 + 2*a**4) - 33*a**3 + 38*a**5 + 33*a**3.
39*a**5
Expand ((-3 + 3 + t)*(1 - 1 + 2) + 1 - 1 + 2*t)*(-2*t**2 - t + 2*t**2 + t**3).
4*t**4 - 4*t**2
Expand -4*p**2 - 3*p + 3*p + (p**2 + 7*p**2 - 5*p**2)*(-6 + 3 - 1).
-16*p**2
Expand (-4 + 4 - 3 + (1 + 2 - 1)*(3 - 2 + 1) + 0 + 5 - 4 + 0 + 1 + 2)*(2*v + 0*v - v).
5*v
Expand (-5 + 5 - 2*r)*(-2 + 2 - 2) + (-1 + 2 - 2)*(5*r + 1 - 1) + (-2 + 1 + 2)*(-1 + 2*r + 1).
r
Expand (0 + 1 + 1 - 3 + 4 - 3 + (-1 - 1 + 0)*(1 + 1 - 3) - 1 + 4 - 6)*(-2*f + 0 + 0 + (2 + f - 2)*(3 - 3 + 1)).
f
Expand -78*i**4 - 42*i**4 + 92*i**4 - i**2 - 2*i**4 + i**2 + (2*i**2 + 0 + 0)*(0 + 0 - i**2) + i**2 - i**2 + i**4.
-31*i**4
Expand (3 - 14 + 8)*(4*x**4 + x**4 - 3*x**4).
-6*x**4
Expand 3*f**2 + 0*f**2 - 2*f**2 + (f - 3*f + 3*f)*(-3*f + 8*f + 2*f).
8*f**2
Expand (3*m**3 + 9 - 9)*(0*m - 7*m + m).
-18*m**4
Expand (0 - 6 + 4)*((3 - 2 + 0)*(0*w - 2*w**2 + 0*w) + (0 - 3 + 2)*(-3*w**2 + 0*w**2 + 0*w**2)).
-2*w**2
Expand (3*z + 2*z - z)*(-5*z - 2*z + 4*z) + (2 + z - 2)*(-3*z + 5*z + 0*z) - 2*z**2 + z**2 + 2*z**2.
-9*z**2
Expand (-2 + 2 + 2)*(-l - 15*l + 0*l)*(3*l**2 - 3*l**2 - 2*l**3).
64*l**4
Expand 34*u**5 - 77*u**5 + 116*u**5 + (-2 + 2*u + 2)*(3*u**4 - 2*u**4 + u**4).
77*u**5
Expand (-2*f + 3 - 1 - 1)*(2 + 4*f**3 - 2).
-8*f**4 + 4*f**3
Expand (c - c - 5*c**2)*(0 + 0 + 1)*(2*c + 4*c - 2*c).
-20*c**3
Expand (2 - 4 + 4)*(6*u - 2*u - 2*u) + u - 5*u + 24*u + 2 + u - 2 + (0 + 3 - 5)*(2*u - 3*u + 0*u).
27*u
Expand 2*m**4 - m + m + 2*m**4 + 2*m - 2*m + (3 + 2*m**3 - 3)*(2*m + 0*m + 0*m) + 2*m**4 + m**4 - 4*m**4 + (4*m**3 - m**3 - 2*m**3)*(-4*m + 3*m + 0*m).
6*m**4
Expand -5*j**2 + 4 - 4 + (-3*j - 3*j + 5*j)*(-4*j + 2*j + j) - 2*j**2 + 4*j**2 + 3*j**2.
j**2
Expand (r**3 + 0*r**3 - 2*r**3)*(4*r - 3*r + r) + 0*r**4 + 0*r**4 - r**4 + (2*r - 2*r + r**2)*(2*r**2 - 3*r**2 + 3*r**2).
-r**4
Expand (-2 + 4 + 0)*(-2*z + 0*z + z) + (1 - 1 - 6)*(-z + 6*z - 2*z).
-20*z
Expand 2*l**2 - 2*l**2 - 2*l**4 + (-1 + 1 - 2*l)*(3*l**3 - l**3 - 4*l**3) - 5*l + 0*l**4 - 2*l + 2*l**4.
4*l**4 - 7*l
Expand ((-2*z**2 + 2*z**2 - 3*z**2)*(-2*z - 1 + 1) + 2*z**3 - 1 + 1 + z**3 - 2*z**3 + 3*z**3)*(z - 2 + 2).
10*z**4
Expand (-3 + 8*z + 2 + 0)*(2*z + z - z).
16*z**2 - 2*z
Expand (-2*f + 2*f - f)*(3*f - 3*f - 2*f + (-2 - 2 + 3)*(4 - 4 - f))*(2*f - 3*f + 5*f).
4*f**3
Expand (-q**2 + q**2 + 8*q**2)*(2*q**2 + q - q).
16*q**4
Expand (-z - 2*z**3 + z)*(2 - 1 - 5) - z**3 - 2*z**3 + 4*z**3.
9*z**3
Expand (5*x + x - 3*x)*(2*x**3 - 3 - 23*x**2 + 23*x**2).
6*x**4 - 9*x
Expand (3 + 0 - 7*x + 4*x)*(-2 + 3 + 0)*(x**2 + x**2 - x**2).
-3*x**3 + 3*x**2
Expand (7*f + 22 - 22)*(3*f + 9 - 9)*(-2*f + 0*f + f).
-21*f**3
Expand (-3*n + 2*n - 2 - 1)*((2 - 2*n - 2)*(-5*n**2 + 3*n**2 + 3*n**2) - 6*n**3 - 2*n**3 + 3*n**3).
7*n**4 + 21*n**3
Expand (3*b - 3*b - 3*b**3 + (b - b**2 - b)*(b - 2*b + 4*b))*(-2 + 0 + 4).
-12*b**3
Expand -4*d**5 + 4*d**5 + d**5 - 3*d**5 + 0*d**5 + 2*d**5 + (-4*d**2 + 5*d**2 + d**2)*(d**3 + d**2 - d**2) + (0*d**4 + 4*d**4 - 3*d**4)*(8 - 18*d + 5*d - 5).
-11*d**5 + 3*d**4
Expand (4*f**2 - 5*f**2 - f**2)*(4*f**2 - 5*f**2 + 2*f**2 + 0 + 0 + f**2 + (0*f + 2*f - f)*(f + f - f) + 2*f**2 - f**2 + f**2 - 1 - f**2 + 1 - f + f + f**2).
-10*f**4
Expand -25*w**5 - w**4 - 39*w**5 - w**4 + (1 + 1 - 1)*(-3*w**5 + 4*w**5 - 3*w**5).
-66*w**5 - 2*w**4
Expand (-5*u**3 + u**3 + 2*u**3)*(4*u + 3*u - 5*u) - u**4 + u**4 + u**4 - 2*u**4 + 2 - 2 + (-3*u**3 + 2*u**3 - u**3)*(2*u - 3*u + 2*u).
-7*u**4
Expand (-x + 5*x - 3*x)*(-5*x**2 + 4*x**2 - x**2).
-2*x**3
Expand (-2*j**2 + 2*j**2 - 3*j**2)*((-16 + 3 + 3)*(-2 + 0 + 3) - 1 - 1 + 0 + (0 - 2 + 4)*(2 - 3 + 3)).
24*j**2
Expand -10*s**4 + s**4 - 5*s**4 + s**2 - s**2 + 2*s**4 + (2*s**2 + 0*s**2 + 0*s**2)*(-5*s**2 - 2*s**2 + 5*s**2).
-16*s**4
Expand 3*t + 3*t**4 - 3*t + 4*t**4 + 0*t**4 - 3*t**4 + (-3*t**3 + 2*t**3 + 2*t**3)*(-2 + 2 + 2*t) + 6*t**4 - 13*t**4 - 27*t**4.
-28*t**4
Expand -2*x**3 + 2*x**2 - 7*x**4 + 2*x**3 - 4*x**4 - 2*x**4 + 7*x**4 + (5*x**2 - 5*x**2 - 2*x**3)*(0*x + 5*x - 3*x).
-10*x**4 + 2*x**2
Expand (-1 + 1 + 2)*(-3*h**5 + 2*h**5 + 4*h**5) + (2*h**3 + h**3 - 5*h**3)*(-h**2 - 4*h**2 + 4*h**2) + h**5 + 0*h**4 + 0*h**4.
9*h**5
Expand (-5 + 1 + 0)*(-m - 2*m + 0*m)*(-4 + 3 + 0).
-12*m
Expand (14 + 4*y**3 - 14 + 2*y**4)*(3*y + y - 5*y + (-y + 1 - 1)*(3 - 1 + 0) + 0 + 0 - 2*y).
-10*y**5 - 20*y**4
Expand (-4 + 0 + 3)*(1 - 1 - g) - 4*g + 5*g - 5*g.
-3*g
Expand -3*y**3 + 7*y**3 - 7*y**3 + y - y + y**3 + (-2 + 4 - 3)*(5*y**3 + 0*y**3 - 3*y**3) + y**3 - 4*y**3 + 5*y**3.
-2*y**3
Expand (3*n - 7*n + 2*n)*(-2 + 5 - 1) + n - 2*n + 2*n + n - 5*n + 2*n + (-3*n - 2*n + 3*n)*(2 + 4 - 5).
-7*n
Expand -10 + 10 + 3*b - 2*b - 1 + 1 + (1 - 6 + 3)*(-b + b - b) + 2*b - 4*b + 3*b.
4*b
Expand 2 + 2*z**3 - 2 + (-5 - 3 + 4)*(z**3 - z**3 + 9*z**3).
-34*z**3
Expand (v**3 + 66*v - 66*v + 6*v**2)*(-9*v**2 + 24 - 24).
-9*v**5 - 54*v**4
Expand (-1 - 2 + 0)*(q - 1 - 9*q + 0).
24*q + 3
Expand (-3*w - 4*w + 1 + 3*w)*(-19 - 13 + 21).
44*w - 11
Expand (z - 2 + 2 - 2*z - 2 + 2 + (4 - 2 + 0)*(-2*z - 1 + 1))*(1 - 1 - 2*z**4).
10*z**5
Expand (a - a - 2*a**2)*(-3*a + 0*a + 7259*a**2 - 7260*a**2 + 25).
2*a**4 + 6*a**3 - 50*a**2
Expand (-5 - 3*h + 5)*(-2*h - 3 + 0*h + 6*h**2 + 4).
-18*h**3 + 6*h**2 - 3*h
Expand (0*l**2 + 0*l**2 - 2*l**3 + (-l**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let y = 31 - 28. Is (d/3)/(-1)*y prime?
False
Let f(u) = 3*u**2 + 3*u - 17 + 41 + u - 21. Let k(j) = -j**3 + 6*j**2 - 2*j + 4. Let b be k(6). Is f(b) prime?
True
Let k(a) = -160*a**3 + 2*a**2 - a - 2. Is k(-1) prime?
False
Let o(v) = v + 12. Let n be -1*(-2 - 0) + 7. Suppose -b + 0*b = -n. Is o(b) a composite number?
True
Let y = 54 - 28. Is y a prime number?
False
Let d(n) = -371*n**3 + n**2 + 2*n + 1. Is d(-1) prime?
False
Is 76/(-6)*(-27)/18 a prime number?
True
Let f = -240 + 385. Is f composite?
True
Is ((-67)/2)/(7/(-14)) composite?
False
Suppose 7525 = 3*v + 2*v. Suppose 0 = -a - 4*a + v. Is a a composite number?
True
Let z(y) = 15*y**2 - 8*y - 6. Is z(-5) composite?
False
Let k = 205 - 135. Suppose -z - 3*i = -k, -2*z - 4*i + 146 = -0*z. Is z composite?
False
Suppose -9*l = -505 - 746. Is l prime?
True
Suppose -2*b - 3*b + 3*i = -1006, 0 = -5*b - i + 1018. Is b composite?
True
Let j(s) = s**2 + 8*s + 7. Let o be j(-7). Let l(h) = h**3 + h**2 + 41. Let c be l(o). Suppose -29 = -2*n + c. Is n composite?
True
Let f(x) = -x**2 - 8*x - 4. Let s be f(-8). Is 2 - (-161 - s/2) a composite number?
True
Let h(z) = 2*z**2 - 2*z - 1. Let n be h(-2). Let r = -4 + n. Is r a composite number?
False
Suppose 4*p = -297 + 1717. Is p a composite number?
True
Suppose -2*x = -2*g - 580, -4*x + g = -0*x - 1169. Is x prime?
True
Suppose 5*p - 39825 = -0*p. Suppose 4*b - p - 2823 = 0. Is b/39 - 4/26 a prime number?
False
Suppose 3*z = 9 - 0. Suppose -3 + 42 = z*d + 2*t, 48 = 3*d - t. Is d prime?
False
Let r be (-9)/2*52/(-3). Let v = 127 - r. Is v composite?
True
Suppose 3*x + 429 = 3*y, -y + 6*y + x - 715 = 0. Is y composite?
True
Suppose -n = -27 - 6. Suppose -s = -4*s + n. Is s composite?
False
Let n(i) = -i + 4 - 4 + 3. Let o(v) = -v**3 + v**2 - 3*v + 2. Let b be o(2). Is n(b) composite?
False
Suppose 4*l - 12 = -0*l. Suppose -329 = -l*o + 244. Is o a composite number?
False
Let v(j) = -4*j**3 - 3*j**2 - 9*j - 8. Let r(d) = -d**3 + d**2 - d. Let g(z) = -5*r(z) + v(z). Is g(9) a prime number?
True
Let m = -1037 - -1590. Is m a prime number?
False
Let l be 9/15 - 2/(-5). Let s be 25 - 2/(l + 0). Let i = s - 16. Is i prime?
True
Suppose 6*h - 3*h - 5*m = -49, -5*m = -2*h - 36. Is (136/4)/((-2)/h) composite?
True
Is (2 - (-5)/(-2))*(2 - 2520) prime?
True
Let a(o) = 37*o - 2. Let n be a(5). Suppose 5*x = -l - n, -4*x - 2*l = -l + 146. Let v = 164 + x. Is v composite?
False
Let f be 2/4*0/1. Suppose f = 5*n - 154 - 191. Is n composite?
True
Let s = 39 - 72. Let q = 104 + -168. Let i = s - q. Is i a prime number?
True
Suppose -28 = -3*q - 19. Suppose -i + 44 = -g - 4*g, 0 = -q*i - g + 180. Is i a composite number?
False
Is (4/(-6))/(4/(-126)) prime?
False
Let i be ((-4)/(-10))/(2/1010). Suppose 2*s - 4*f - i = 0, 0 = 2*s - 5*s + 4*f + 297. Is s prime?
False
Suppose 0 = 4*p - 0*p + 44. Let a(y) = -5*y**2 - y + 12. Let c be a(-4). Let t = p - c. Is t a composite number?
False
Suppose -2*k + 2*m = 8, 4*m - 6*m + 13 = 3*k. Suppose 0 = o + k - 4. Is 165 + 0 - (o - 1) a prime number?
True
Let k = -13 + 15. Suppose -k*f + 57 = f. Is f prime?
True
Let q = 10 - 6. Suppose q*k = 5*m - m, 4*k + m + 5 = 0. Is k/1*-11*7 a prime number?
False
Let d(i) be the first derivative of 31*i**4/2 + i**3/3 - i**2 + i - 3. Is d(1) composite?
True
Is 1706/(16/6 - 2/3) a prime number?
True
Let b = -8963 + 18756. Is b a prime number?
False
Let s = 665 + -186. Is s composite?
False
Suppose 0 = -3*i + 592 + 1961. Is i composite?
True
Let d = -503 + 1248. Suppose 0 = -4*y + 9*y - d. Is y a composite number?
False
Let x(t) = -2*t**2 - 6*t - 6. Let y be x(-4). Let h = y - -21. Suppose -h*n + 60 = -3*n. Is n a composite number?
True
Let j be (-2)/(-8) - (-126)/(-24). Is -1 + (94 - (j + 3)) prime?
False
Suppose 0 = -5*d - 0*b - b - 1211, -3*d - 728 = 2*b. Let j = 355 + d. Suppose 0*h - h = -j. Is h composite?
False
Let d(n) = n**2 + n + 4. Let y be d(0). Suppose -3*o - y*z = -8*o + 170, -o = -2*z - 34. Suppose -u - 4*f + o = 1, -5*u - 2*f = -75. Is u a prime number?
True
Suppose 4*o = 2*o + 4. Suppose -4*m + 2*r = -158, 5 - 74 = -o*m - r. Is m composite?
False
Let b = -1 - -6. Suppose -2*z + 82 - 20 = -b*l, 3*l + 58 = 2*z. Is z composite?
True
Suppose 2*s + 0*o - 19 = 3*o, -3*o = 3*s + 9. Suppose 0 = 3*x + s*x - 310. Is x prime?
False
Let v = 2292 - 1577. Suppose 2*i = -w + v, 2*i - 560 - 130 = 4*w. Is i composite?
True
Suppose 0 = -4*f - 20, 3*n - 3*f - 40 - 2 = 0. Suppose 0 = 3*i - n, -x - 41 = -2*x - 2*i. Is x prime?
False
Suppose -2*q - 12 = q. Suppose 5*u - 19 - 11 = 0. Is u/q*38/(-3) prime?
True
Suppose 7*r + 5 = 2*r. Is (r - -240) + 1*-2 a composite number?
True
Suppose 0*k = k + 4*p - 271, -p + 1260 = 5*k. Is k composite?
False
Suppose -810 = -4*o + 3*n, 2*o + 7*n = 3*n + 416. Let m be ((-2)/(-6))/(4/o). Suppose 5*q = 132 - m. Is q composite?
False
Let z be (-1)/3 + 8/6. Let l(g) = -g**2 + g. Let m be l(z). Let j(d) = -d + 223. Is j(m) prime?
True
Let g(b) = 4*b**2 - 1. Let u(m) = -4*m + 3*m**2 - 2 + 2*m + 3*m. Let p(w) = 4*g(w) - 5*u(w). Is p(4) composite?
False
Suppose 4*n - 263 + 19 = 0. Is (2 - n)/(1/(-7)) a prime number?
False
Suppose q = -2*q + 6. Suppose 0*k - 31 = -4*v - 3*k, -q*v = -k - 3. Is v a prime number?
False
Suppose a + 27 = -9. Let x = a + 19. Let c = x + 66. Is c a prime number?
False
Let r = -6412 - -9093. Is r a composite number?
True
Suppose 0 = z + 5*k - 5, 2*z = k + 59 + 6. Let a = 2 - z. Let m = -15 - a. Is m a composite number?
False
Let b = 21 + -15. Let q(w) = w - 3. Let x be q(b). Let n(p) = 2*p**3 - 2*p**2 + 3*p - 2. Is n(x) composite?
False
Let t(r) = -r**3 - 7*r**2 + 2*r + 6. Let j be t(-7). Is (0 - (-4)/j)*-118 a prime number?
True
Let f(y) = y + 6. Let q be f(-6). Suppose -2*u = -3*s + 565, q = -s + 6*s + 3*u - 910. Is s a composite number?
True
Suppose 9*b = 55902 - 16959. Is b prime?
True
Suppose -4*y = f - 240, -2*f + 372 = 5*y + 69. Is y prime?
True
Let q be (2 - -2)*68/2. Let c = -23 + q. Suppose 0 = -4*s + 3*n + 489, -3*s = 3*n - 485 + c. Is s a prime number?
False
Suppose -4*c + 2*h + 3442 = -0*h, 4320 = 5*c + h. Is c a composite number?
False
Suppose -5*z - 4*f = -2208, z + f - 394 = 48. Suppose -5*d = 5*g - 585, 0*d + 3*d + z = 4*g. Is g a composite number?
False
Suppose 2*t + 2*n = 3*n + 674, -5*n - 1011 = -3*t. Is t a prime number?
True
Suppose 0*v + 6 = 2*v. Suppose -h - v*k - 124 = -664, h - 532 = -5*k. Let q = h + -329. Is q prime?
True
Let k be 1/((4 + -1)/3). Is k + 0 + 11*30 a prime number?
True
Let z = 678 - 385. Is z a prime number?
True
Suppose -9 = -3*w + p, 7*w - 2*w - 16 = 2*p. Let x = 8 - 5. Suppose w*n = -x*n + 475. Is n a composite number?
True
Let l(t) = -t**2 + 11*t - 7. Let w be l(10). Let j(s) = 27*s + 2. Let q be j(2). Suppose q = h + w. Is h composite?
False
Let f(l) = -l + 8. Let y(s) = -s + 8. Let p(w) = -5*f(w) + 6*y(w). Let t be p(4). Suppose -5*x + 943 = t*m, x + 5*m = 3*x - 397. Is x prime?
True
Let p be -3*(-2)/(-4)*-4. Suppose -8*b + 430 = -p*b. Is b a prime number?
False
Let f = 7713 - 4676. Is f a prime number?
True
Suppose 4*p + 3 = 7. Suppose 1 = g - 1. Is g + (p - -42) + 1 a composite number?
True
Suppose 0 = 2*b - 2*i + 142 - 428, -2*i - 580 = -4*b. Let o = 214 - b. Is o a prime number?
True
Let o(j) = -j**3 + 11*j**2 + 4*j + 7. Is o(11) a prime number?
False
Suppose 6*b + 4*b = 20690. Is b prime?
True
Let a = 596 - 91. Is a composite?
True
Let p(x) = 3*x**2 - 12*x - 8. Is p(9) composite?
False
Let d(u) = 2*u**2 - 10*u + 45. Is d(-11) prime?
True
Let f(m) = -7*m**3 + 3*m**2 - 2*m + 2. Let i be f(3). Let l = i - -253. Is l a prime number?
False
Let o(j) = -5 + 2 - 1 + 0 + 27*j. Is o(7) prime?
False
Is 11/((2/(-222))/((-5)/15)) a prime number?
False
Let k = -1 - -3. Let b(y) = -y**3 - y**2 + y + 65. Let c be b(0). Suppose 0 = s + u - 0*u - 60, c = s + k*u. Is s prime?
False
Let x be (-6)/(-3) - (0 + -1). Suppose -x*r = 2*o - 178, -o + 4*r + 206 = o. Let g = 190 - o. Is g a prime number?
False
Let p(v) = 30*v + 5. Let h be p(4). Suppose h = 4*m - 151. Is m prime?
False
Suppose 6*j - 2880 = -2*l + 3*j, 3*j + 1431 = l. Is l a composite number?
True
Let g be 36/8 + 4/8. Suppose -886 = -g*d - 2*p + 6*p, 5*d = -4*p + 894. Is d a composite number?
True
Let h(m) = -8*m + 3. Let l be h(-3). Suppose 0 = 4*r - 5*r -
|
{
"pile_set_name": "DM Mathematics"
}
|
15/(-30) - g/4. Factor -2*c + 3*c - 16*c + 5*c**3 - y.
5*(c - 2)*(c + 1)**2
Solve -43/5*n**3 + 0*n + 44/5*n**2 - 1/5*n**4 + 0 = 0.
-44, 0, 1
Let p = -635353/3 - -211786. Let 2/3*q**2 + 0 - p*q = 0. What is q?
0, 5/2
Let o(t) be the first derivative of -4*t**3/15 - 132*t**2/5 + 268*t/5 - 361. Determine w, given that o(w) = 0.
-67, 1
Let g(a) = 2*a**2 - 88*a - 84. Let q be g(45). Let p(f) be the second derivative of 2/15*f**q - 2*f**2 + 0*f**4 - 16*f + 0 + 4/3*f**3 - 2/5*f**5. Factor p(h).
4*(h - 1)**3*(h + 1)
Factor -5/2*d**3 + 5/2*d**2 - 225/2 + 105/2*d.
-5*(d - 3)**2*(d + 5)/2
Let x(t) be the third derivative of -2*t**7/105 + 13*t**6/120 + 59*t**5/20 + 93*t**4/8 - 27*t**3/2 + 26*t**2 + 31*t. Factor x(h).
-(h - 9)*(h + 3)**2*(4*h - 1)
Let q(c) be the first derivative of -111*c**5/5 + 3*c**4/4 + 111*c**3 + 213*c**2/2 - 6*c + 7434. Determine i so that q(i) = 0.
-1, 1/37, 2
Let m(a) be the first derivative of 4*a**3/15 + 1404*a**2/5 - 2812*a/5 + 7291. Factor m(r).
4*(r - 1)*(r + 703)/5
Let a(x) be the second derivative of -5/3*x**3 + 0 + 0*x**2 - 1/90*x**5 - 1/540*x**6 + 24*x - 1/36*x**4. Let c(b) be the second derivative of a(b). Factor c(d).
-2*(d + 1)**2/3
Let h(v) = v**3 - 16*v**2 - 16*v - 14. Let t be h(17). Solve 3*r**t - 16*r**4 + 5*r**2 + 15*r + 18*r**4 - 21*r**2 - 3 - 1 = 0.
-4, 1/2, 1
Let l(j) be the first derivative of j**6/540 + 17*j**5/90 + 289*j**4/36 + j**3/3 + 32*j + 61. Let n(v) be the third derivative of l(v). Solve n(c) = 0 for c.
-17
Let k = 1252/183 + -764/183. Factor 3*q - k - 1/3*q**2.
-(q - 8)*(q - 1)/3
Factor -326/3*x + 329 - 1/3*x**2.
-(x - 3)*(x + 329)/3
Solve 0 - 2/11*a**4 + 0*a + 40/11*a**3 - 150/11*a**2 = 0.
0, 5, 15
Let s(j) be the third derivative of j**5/180 - 125*j**4/36 + 1225*j**3/18 - 140*j**2 + 2*j. Suppose s(o) = 0. Calculate o.
5, 245
Factor -3/2*q**4 - 378*q**2 - 51*q**3 + 972*q + 0.
-3*q*(q - 2)*(q + 18)**2/2
Let u be 2 + ((-39)/6)/((-1)/2). Let f = 17 - u. Let 208*y**f - 208*y**2 - 5*y**3 = 0. Calculate y.
0
Let n(c) be the third derivative of -c**5/20 + 8*c**4 + 10*c**2 + 136. Factor n(o).
-3*o*(o - 64)
Let j = 125455 + -125449. Factor -j - 6075/2*d**2 - 270*d.
-3*(45*d + 2)**2/2
Let f = -1211894 - -7271365/6. Factor 0 - f*l**2 - 13/6*l.
-l*(l + 13)/6
Factor -1/6*c**3 + 4 - 1/2*c**2 + 5/3*c.
-(c - 3)*(c + 2)*(c + 4)/6
Let z(a) be the second derivative of 209/12*a**4 - 1/42*a**7 + 50*a**2 + 190*a + 0 + 1/2*a**6 - 83/20*a**5 - 40*a**3. Factor z(n).
-(n - 5)**2*(n - 2)**2*(n - 1)
Let i(z) = 11*z + 4. Let a be i(-1). Let p be 6/84*-4*a. Factor -3/5*v**3 + 0 + 1/5*v**5 - v**p + 1/5*v**4 - 2/5*v.
v*(v - 2)*(v + 1)**3/5
Let g(v) be the first derivative of 5*v**6/6 - 3*v**5/2 - 11*v**4/12 + 2*v**3 + 2*v**2 - 33*v + 156. Let n(l) be the first derivative of g(l). Factor n(z).
(z - 1)**2*(5*z + 2)**2
Let c = -148/21 - -50/7. Let d be (11284/392 + -29)/(2 - (-11)/(-4)). Suppose 2/21*j**4 + 4/21 + c*j**3 - d*j**2 - 2/21*j = 0. What is j?
-2, -1, 1
Let u(s) = 19*s**3 + 139*s**2 - 6017*s - 108427. Let a(m) = -10*m**3 - 70*m**2 + 3010*m + 54214. Let x(w) = -11*a(w) - 6*u(w). Factor x(c).
-4*(c - 28)*(c + 22)**2
Let s be (-1033 - -1045) + (-204)/22 + -2. Factor 0 + s*b**4 + 12/11*b**3 + 2/11*b**5 + 8/11*b**2 + 2/11*b.
2*b*(b + 1)**4/11
Suppose 0 = 4*l + 3*i - 150 - 21, 4*l + i = 161. Suppose -4*w = -w - l. Factor 5*d**4 + 18*d + 42*d + 7 + 65*d**2 + 30*d**3 + w.
5*(d + 1)**2*(d + 2)**2
Let n be (-38)/475 - 51/(-450). Let o(t) be the third derivative of 0*t**4 + 0*t**3 + 0 - 15*t**2 + 0*t + 3/40*t**6 - 1/30*t**5 - n*t**7. Solve o(v) = 0.
0, 2/7, 1
Let p(v) be the second derivative of -v**7/210 - v**6/30 - v**5/20 + 197*v**2/2 - 10*v - 1. Let n(u) be the first derivative of p(u). Factor n(j).
-j**2*(j + 1)*(j + 3)
Let w(g) = g**3 - 496*g**2 + 62499*g + 63051. Let f(i) = i**2 + 10. Let l(h) = -15*f(h) + 3*w(h). Factor l(c).
3*(c - 251)**2*(c + 1)
Let o be 3/((0 - -6)/6). Factor -1044*j - 349*j**3 + 84*j**4 - 208*j**2 + 1400*j**2 - 4*j**5 + 324 - 203*j**o.
-4*(j - 9)**2*(j - 1)**3
Let h be 6 + -6 + -5 + -23. Let s be 16/h - 605/(-140). Solve 5/4*n - 5*n**3 + 0 - 5/2*n**4 + 5/2*n**2 + s*n**5 = 0 for n.
-1, -1/3, 0, 1
Let f = 90 + -85. Suppose 4*p - 134 = -2*k, 6*p + 296 = f*k + 3*p. Factor b**4 + 4 + 3*b**3 - k*b + 6*b**2 - 3*b**4 + 51*b - b**3.
-2*(b - 1)**3*(b + 2)
Let z(m) be the third derivative of -441/2*m**3 + 1 - 21/4*m**4 + 0*m + 74*m**2 - 1/20*m**5. Find y, given that z(y) = 0.
-21
Let q(w) = -2*w**5 + 53*w**4 + 1568*w**3 - 43892*w**2 - 3. Let v(f) = 4*f**5 - 105*f**4 - 3136*f**3 + 87780*f**2 + 7. Let u(y) = -7*q(y) - 3*v(y). Factor u(d).
2*d**2*(d - 28)**2*(d + 28)
Let y = 2879/9168 + -56/191. Let m(l) be the second derivative of y*l**4 + 0*l**2 + 1/80*l**5 - 1/120*l**6 - 1/168*l**7 + 0*l**3 + 0 - 21*l. Factor m(t).
-t**2*(t - 1)*(t + 1)**2/4
What is j in -864/7 + 4/7*j**4 - 100/7*j**3 - 240/7*j + 520/7*j**2 = 0?
-1, 2, 6, 18
What is x in 33*x**3 - 36*x**4 + 51*x**2 + 108*x + 24 + 26*x**2 + 162*x**2 - 101*x**2 - 15*x**5 = 0?
-2, -1, -2/5, 2
Let s(v) be the third derivative of -31/12*v**4 + 961/3*v**3 + 0 + 1/120*v**5 - 4*v**2 + 32*v. Determine p so that s(p) = 0.
62
Let t = -1971 + 6272/3. Let a = t - 119. Find d, given that -a*d + 0 + 4/3*d**2 - 4/3*d**4 + 2/3*d**3 = 0.
-1, 0, 1/2, 1
Suppose 0 = 5*p - 1451*i + 1454*i - 28, 0 = -4*p - 2*i + 20. Factor 2/7*b**2 - 36/7 - p*b.
2*(b - 9)*(b + 2)/7
Let m(t) be the third derivative of -t**5/240 - 11*t**4/32 + 17*t**3/12 + t**2 - 94*t. Determine k so that m(k) = 0.
-34, 1
Factor -11/6*d**3 + 1/2*d**4 + 1/2*d + 5/6*d**2 + 0.
d*(d - 3)*(d - 1)*(3*d + 1)/6
Let -5/4*y**5 + 645/4*y - 7/2*y**2 - 76*y**3 - 117/2 - 22*y**4 = 0. Calculate y.
-13, -3, 2/5, 1
Let b(z) = z**2 - 9. Let n be b(-3). Let l = 121 + -117. Solve n*d**2 + 0*d**2 - 3*d**l - 3*d**2 + 21*d**3 - 27*d**3 = 0.
-1, 0
Let s(k) be the first derivative of 52 + 8/3*k - 1/9*k**3 + 1/3*k**2. Factor s(q).
-(q - 4)*(q + 2)/3
Factor -8/9*g**2 - 2/9*g**3 + 8/9 + 2/9*g.
-2*(g - 1)*(g + 1)*(g + 4)/9
Let f be 5/((-20)/12) - (-31 - -25). Let b(g) be the first derivative of -3 + 0*g - 3*g**4 + 4/5*g**5 - 2*g**2 + 4*g**f. Suppose b(d) = 0. What is d?
0, 1
Suppose 179*p + 48 = 191*p. Suppose l = -l + 6. Let 195 + 3*x**5 - 195 - l*x**p - 3*x**3 + 3*x**2 = 0. What is x?
-1, 0, 1
Let z(g) = -26*g**4 + 3*g**4 + 7 + 8*g**4 - 25*g**3 - 88*g**2. Let c(x) = 2*x**4 + x**3 + x**2 - 1. Let k(w) = -21*c(w) - 3*z(w). Let k(b) = 0. What is b?
-9, 0
Let r(f) be the second derivative of -f**6/60 - 153*f**5/20 - 2601*f**4/2 - 88434*f**3 + 151*f. Let r(o) = 0. What is o?
-102, 0
Suppose 42*q - 52 = 7508. Let b be -1 - 1 - (-400)/q. Solve b*y**3 + 0 - 2/3*y**2 + 4/9*y = 0 for y.
0, 1, 2
Let k = -1124654/1791849 - 44/4297. Let h = 4/139 - k. Factor -26/3*f**2 + h*f**3 - 24 + 32*f.
2*(f - 6)**2*(f - 1)/3
Let c(w) = w**3 + w - 1. Let h be (-4)/(-8)*1*2. Let p(u) = -4*u**4 + 8*u**3 + 4*u - 4. Let x(y) = h*p(y) - 4*c(y). Solve x(l) = 0 for l.
0, 1
Let j be 66*5/30 + -9. Factor -1/5*z**j + 7/5 + 6/5*z.
-(z - 7)*(z + 1)/5
Let s(k) be the first derivative of -1/5*k**5 + 0*k + 1/2*k**4 + 1/3*k**3 - k**2 + 94. Factor s(m).
-m*(m - 2)*(m - 1)*(m + 1)
Let d(m) be the third derivative of 2/35*m**7 - 2/15*m**5 + 2/3*m**4 - 2/3*m**3 - 99*m**2 - 2/15*m**6 + 0*m + 0. Factor d(k).
4*(k - 1)**2*(k + 1)*(3*k - 1)
Let n(f) be the first derivative of 6/5*f**2 + 2/3*f**3 + 2/5*f + 22. Factor n(y).
2*(y + 1)*(5*y + 1)/5
Suppose m = -2, -o - 8*m + 10*m = -6. Determine t, given that o*t**2 - 24 - 6*t + 24 - 8*t - 8*t = 0.
0, 11
Let g be ((-81)/(-30) - 9/45)*6. Determine q, given that 55*q**2 + 15*q - 3*q**4 - g*q**3 - 2*q**4 + 11500 - 11550 = 0.
-5, -1, 1, 2
Let m be 37/57 - (-2394)/(-7581). Determine p so that -m*p**2 - 147 + 14*p = 0.
21
Factor 0 + 655*u - 1/3*u**2.
-u*(u - 1965)/3
Let g be 6/10 + 123*(-14)/(-105). Let l be 3/(-5)*((g - 12) + -10). Let -6*u**2 + 3/2*u**l + 15/2*u - 3 = 0. Calculate u.
1, 2
Factor 0*b + 13/4*b**3 + 5/12*b**5 - 3/4*b**2 + 0 + 29/12*b**4.
b**2*(b + 3)**2*(5*b - 1)/12
Let s(i) be the first derivative of -2*i**6/3 - 52*i**5/5 - 58*i**4 - 352*i**3/3 + 64*i**2 + 512*i + 993. Factor s(v).
-4*(v - 1)*(v + 2)*(v + 4)**3
Let j(v) = -2*v**2 - 10*v + 14. Let z be j(-7). Let b = z + 18. Factor 2*o**2 + 3*o + b*o + 3*o**2 + o**3 + 3 + 0*o.
(o + 1)**2
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 20750*o.
-87*o
Collect the terms in 14448*k**3 - 28974*k**3 + 14501*k**3.
-25*k**3
Collect the terms in -476*a + 1069*a + 1302*a - 257*a.
1638*a
Collect the terms in -66*p**2 - 178*p**2 - 28*p**3 + 18*p**3 - 64*p**2 - 67*p**2 + 375*p**2.
-10*p**3
Collect the terms in -4587862*s**3 + 9176236*s**3 - 4588016*s**3.
358*s**3
Collect the terms in 42*l**3 + 2 - 64*l**3 + 43*l**3 + 23*l**3 - 2.
44*l**3
Collect the terms in -12648*l**2 - 7897*l**2 - 7041*l**2.
-27586*l**2
Collect the terms in -1390*q**2 + 1897*q**2 - 502*q**2.
5*q**2
Collect the terms in 75 - 28 - 26 - 21 - 118247*q**2 + 118250*q**2.
3*q**2
Collect the terms in 13*n + 16*n - 36*n + 7*n + 17496*n**3.
17496*n**3
Collect the terms in 248*o - 53*o + 24*o**3 + 112*o**3 + 2*o**2.
136*o**3 + 2*o**2 + 195*o
Collect the terms in -258003*j**2 - 19671*j**2 - 156355*j**2 - 45084*j**2.
-479113*j**2
Collect the terms in -107236*t + 53496*t + 53609*t.
-131*t
Collect the terms in 1934 - 1846*u - 1851*u + 3681*u.
-16*u + 1934
Collect the terms in 670*p**2 - 2137 + 420*p**2 + 2137 - 203*p**2.
887*p**2
Collect the terms in 12150*n + 11418*n - 34946*n + 11398*n.
20*n
Collect the terms in 876*b**2 - 1849*b**2 + 982*b**2.
9*b**2
Collect the terms in -159681*w**2 + 319372*w**2 - 159691*w**2 - 5682*w**3.
-5682*w**3
Collect the terms in 30*c - 868 + 30*c - 874 + 3538 - 1796.
60*c
Collect the terms in -190407 + 571212 - 190409 + 4*p - 190396.
4*p
Collect the terms in 2*d + 2*d + 988 - 2*d**2 - 6*d.
-2*d**2 - 2*d + 988
Collect the terms in 865*y + 860*y - 1714*y - 208 + 208.
11*y
Collect the terms in 11917 + 11907 - 16*r**3 + 41*r**3 - 23800.
25*r**3 + 24
Collect the terms in -7 - 2769*w + 91 - 17 + 2768*w - 38.
-w + 29
Collect the terms in 369944584*s + 11*s**3 - 369944584*s.
11*s**3
Collect the terms in 303 - 529*v - 99 - 103 - 9 - 92.
-529*v
Collect the terms in 585 - 180 - 24*g - 197 - 179.
-24*g + 29
Collect the terms in 59 + 40 + 0*f**2 + 26 + 59*f**2 - 34.
59*f**2 + 91
Collect the terms in -233*i - 5 + 9 - 9381*i - 2 - 2237*i.
-11851*i + 2
Collect the terms in -418 + 1219 - z + 815 + 3*z - 234.
2*z + 1382
Collect the terms in 5*o**3 - 161842*o + 80921*o - 2*o**3 + 80921*o - 2*o**3.
o**3
Collect the terms in -19*a - 24*a - 31 - 243*a**2 + 37*a + 107*a**2 + 114*a**2.
-22*a**2 - 6*a - 31
Collect the terms in -1077347*b - 1077273*b + 2154621*b.
b
Collect the terms in 7827414463*u**2 - 7827414463*u**2 + 5*u**3.
5*u**3
Collect the terms in 11*o**2 + 0*o**2 - 12*o**2 - 1138292*o + 1138429*o.
-o**2 + 137*o
Collect the terms in -3 + 18179*r**3 - r + 1 - 9068*r**3 - 9095*r**3 + 2.
16*r**3 - r
Collect the terms in -409*n**2 + 93*n**2 + 66*n**2 + 141*n**2 + 106*n**2.
-3*n**2
Collect the terms in 114425*t + 4*t**2 - 31 + 35 - 4 - 114425*t - 5*t**2.
-t**2
Collect the terms in -963*x**2 - 3155*x**2 + 1262*x**2.
-2856*x**2
Collect the terms in -1257806*k**3 + 1257689*k**3 - k - 25 + 25.
-117*k**3 - k
Collect the terms in 1890 - 3993 - 2*v**3 + 2203.
-2*v**3 + 100
Collect the terms in -1317*v**2 - 20109*v + 1266*v**2 + 98 + 20109*v - 96.
-51*v**2 + 2
Collect the terms in 5*w + 550313798771 - 550313798771.
5*w
Collect the terms in 1590*s**2 - 787*s**2 - 97*s**3 - 803*s**2.
-97*s**3
Collect the terms in -48922394174*p**3 + 24461197100*p**3 + 24461197089*p**3.
15*p**3
Collect the terms in -2 + 8 - 1977*t**2 - 4 - 2 + 1773*t**2.
-204*t**2
Collect the terms in -2663*y + 10655*y - 2686*y - 1 + 1 - 2650*y - 2659*y.
-3*y
Collect the terms in 187849*t**2 - 378967*t**2 + 189501*t**2.
-1617*t**2
Collect the terms in 2227*f - 128*f + 3911*f + 1062*f.
7072*f
Collect the terms in -10 - 14*u + 5 + 10*u**2 + 6 + 4.
10*u**2 - 14*u + 5
Collect the terms in 787 - 60*v - 301 - 250 - 238.
-60*v - 2
Collect the terms in 11 + 11 - 87*c - 4 - 2 + 4.
-87*c + 20
Collect the terms in 238 + 6373*s**2 + 210 + 228 - 6372*s**2.
s**2 + 676
Collect the terms in -3 + 2 + 108*l**2 + 0 - 1309*l**2 + 7.
-1201*l**2 + 6
Collect the terms in -11704 + 3894 + 3910 - 60*l + 3900.
-60*l
Collect the terms in 7*v - 4*v - 447437623785 - 3*v + 447437623785 + 19*v**3.
19*v**3
Collect the terms in -28*y - 439 + 0*y**2 - 27*y + y**2 + 55*y + 326.
y**2 - 113
Collect the terms in -1098 - 17917*l**2 + 17911*l**2 + 548 + 550.
-6*l**2
Collect the terms in -5752 - 59879*z**3 - 5754 + 11506 + 3*z**2.
-59879*z**3 + 3*z**2
Collect the terms in 3769468 - b - 1262*b**2 - 3769468.
-1262*b**2 - b
Collect the terms in -382013*s - 499963*s - 648799*s + 37510*s.
-1493265*s
Collect the terms in -13*w + 675*w**2 - 2 + 0*w - 720*w**2.
-45*w**2 - 13*w - 2
Collect the terms in -248 - 145 - 246*m**3 + 393.
-246*m**3
Collect the terms in -29*p**2 - 7 + 3026*p + 4145*p - 6 + 11.
-29*p**2 + 7171*p - 2
Collect the terms in 3610 + 15763 - 93944 - 3*c.
-3*c - 74571
Collect the terms in -1438 + 228159*f**2 + 1438.
228159*f**2
Collect the terms in 1221 + 28*j**2 + 2*j - 30*j**2 + 10653.
-2*j**2 + 2*j + 11874
Collect the terms in 4*d**2 - 20431*d**3 - 4*d**2 + 22626*d**3.
2195*d**3
Collect the terms in -221*a**2 + 535*a**2 - 4441*a**2 - 651*a**2.
-4778*a**2
Collect the terms in -241*q + 644*q - 232*q - 221*q + 53*q.
3*q
Collect the terms in 1069022*m**2 - 2138055*m**2 + 1069027*m**2.
-6*m**2
Collect the terms in 636*w**2 + 5 - 18 + 283*w**2.
919*w**2 - 13
Collect the terms in 559*l**2 + 3867849107 - 3867849107.
559*l**2
Collect the terms in 208*j**3 + 0 + 3033*j - 3033*j + 2 - 2.
208*j**3
Collect the terms in 3*t**3 + 5610 + 5746 + 12200 - 5257.
3*t**3 + 18299
Collect the terms in -6638*j**3 + 21627*j**3 - j**2 - j**2.
14989*j**3 - 2*j**2
Collect the terms in 58 - 8 - 83*h - 183*h - 26.
-266*h + 24
Collect the terms in 1252*r**2 - 2507*r**2 + 1017*r**3 + 1017*r**3 - 2032*r**3 + 1255*r**2.
2*r**3
Collect the terms in 95*a**2 - 39*a**2 - 89*a**2 - 7*a + 7*a + 187*a**2.
154*a**2
Collect the terms in -298861079259*h + 298861079259*h - 19*h**2.
-19*h**2
Collect the terms in -1542952254*w**2 + 1542952254*w**2 - w**3.
-w**3
Collect the terms in 596503*y**2 - 804 + 804.
596503*y**2
Collect the terms in -3541*v**2 + 1208*v**2 - 23*v**3 + 1161*v**2 + 1168*v**2 + 7*v**3.
-16*v**3 - 4*v**2
Collect the terms in -5764*x**2 - 307*x**2 + 6 + 7*x**2.
-6064*x**2 + 6
Collect the terms in -192 + y**2 + 264*y + 58 + 64 + 70.
y**2 + 264*y
Collect the terms in 264*k + 386*k + 380*k + 2*k**3 - 1030*k.
2*k**3
Collect the terms in -30*d + 43 + 20 - 22 - 36.
-30*d + 5
Collect the terms in -8*c - 1121 + 0*c + 3686 - 1272 - 1293.
-8*c
Collect the terms in 1130445*b**2 - 623660*b**2 - 506786*b**2.
-b**2
Collect the terms in 2390 + i**2 - 582 - 650 - 3*i**2 - 572 - 586.
-2*i**2
Collect the terms in 3506934558 + 37*t - 134*t - 3506934559.
-97*t - 1
Collect the terms in -68*b**3 - 264*b**3 - 54*b**3 + 44*b**3 - 99*b**3.
-441*b**3
Collect the terms in 2*d**3 - 10660246 - 8*d**3 + 10660246.
-6*d**3
Collect the terms in -10*w**3 + 11713986945*w**2 - 11713986945*w**2.
-10*w**3
Collect the terms in 55*h + 30 + 58*h + 57 - 65 + 65*h - 170*h.
8*h + 22
Collect the terms in 2443573 - 20396*x - 2443573.
-20396*x
Collect the terms in -8*r - 148*r**3 + 108*r**3 + 13*r**2 + 26*r**3 + 7*r - 13*r**2.
-14*r**3 - r
Collect the terms in -2 - 1318*n + 442*n**3 + 1318*n - 8 + 12.
442*n**3 + 2
Collect the terms in 86955*t**2 - 550202*t**2 - 299647*t**2 - 553830*t**2.
-1316724*t**2
Collect the terms in 59*r**3 + 115*r**3 - 447*r**3 - 556*r**3 - 55*r**3.
-884*r**3
Collect the terms in 3398*w**3 - 2*w**2 - 74 - 8*w**2 - 3*w**2 - 3399*w**3 + 2*w**2.
-w**3 - 11*w**2 - 74
Collect the terms in 104 + 7918*a**2 - 207 + 103.
7918*a**2
Collect the terms in -12*l**2 + 1898 + 1949 - 3847.
-12*l**2
Collect the terms in -77900*c + 155799*c - 77906*c + 3.
-7*c + 3
Collect the terms in 52504*g**3 - 17459*g**3 - 17463*g**3 - 17447*g**3.
135*g**3
Collect the terms in 245 + 9789*b**2 - 9755*b**2 - 245.
34*b**2
Collect the terms in -117742*y**2 + 29452*y**2 + 29433*y**2 + 29444*y**2 + 29435*y**2 + 0*y + 0*y.
22*y**2
Collect the terms in -117594*c**2 + 81*c - 1030*c + 95*c.
-117594*c**2 - 854*c
Collect the terms in -2219*x**2 - 7*x**3 + 4*x**3 + 6546*x**2 - 2217*x**2 - 2110*x**2 - 12*x**3.
-15*x**3
Collect the terms in 1676 - 840 + 13911*i - 99747*i - 836.
-85836*i
Collect the terms in 12223867*v**2 - 6111935*v**2 - 6111931*v**2 - 2*v.
v**2 - 2*v
Collect the terms in
|
{
"pile_set_name": "DM Mathematics"
}
|
**4 - 4*i**4 - i**4 + i**2 + 34*i**4 + 4*i**4 - i**4 to m*i**2 + p*i**3 + o*i**4 + c*i + l and give c.
0
Rearrange -984*h**4 + h**3 - 19*h**3 - h + h**2 + 0*h**2 + 1017*h**4 to t + j*h + o*h**3 + s*h**4 + n*h**2 and give o.
-18
Rearrange -3 + 500*f**3 + 6 - 415*f**3 + f**2 to s + g*f**2 + x*f**3 + i*f and give g.
1
Rearrange ((0 + r + 0)*(-116*r + 60*r + 95*r) + r**2 + r - r)*(-2*r**2 + 15*r**2 + 7*r**2) to the form a + z*r**4 + i*r + g*r**2 + o*r**3 and give g.
0
Rearrange (4*g**2 + g**2 - 3*g**2)*(-84*g + 71*g - 72*g) + 4*g**3 - 13*g**3 - 4*g**3 to l*g + h + c*g**2 + z*g**3 and give z.
-183
Rearrange 121 + 123 - 101*g**2 - 46*g**2 + 120 + 5*g**3 - 375 to o*g**3 + h + q*g**2 + p*g and give h.
-11
Express 22 - 78 + 18 + 15 + 19 - 473*f as s*f + g and give g.
-4
Rearrange -10 - 23 + 9*a + 8 + 3*a - 4 to g*a + p and give p.
-29
Express (11*t + 1 + 1 - 4*t)*(-430*t - 328*t - 22 + 1434*t - 361*t) as m + f*t**2 + u*t and give m.
-44
Rearrange -32*u**2 + 28*u**2 - 13*u**2 - 14 - 5*u**4 - 3*u + 4*u**4 + 5 to i*u**3 + p*u + l*u**2 + z*u**4 + q and give q.
-9
Express 40 + 45 - i + 2*i + 125 + 82 as f + z*i and give z.
1
Express -5 + 542*m**3 - 2179*m**3 + 542*m**3 + 550*m**3 - 98*m**2 - 2*m + 543*m**3 in the form v*m**3 + s + p*m + l*m**2 and give v.
-2
Express 206*k**2 - 45*k**2 - 37*k**2 + 7*k**3 - 86*k**2 - 3*k - 37*k**2 + 36*k**4 as l*k**4 + b*k**3 + w*k**2 + i*k + d and give b.
7
Rearrange 10508*j + 7173*j + 3938*j + 1762*j to f + v*j and give v.
23381
Rearrange g**3 - 515*g + 1030*g - 4 + 6*g**2 - 528*g to the form t*g + c*g**2 + k*g**3 + w and give w.
-4
Express 2569*z - 2569*z + 1 - 18*z**2 as t*z + j*z**2 + b and give j.
-18
Express (7 - 5 - 1)*(-6*l - 2*l - 32*l + (-l - 1 + 1)*(1 + 0 - 2)) - l - l + 4*l in the form p*l + z and give p.
-37
Express 13 + 499*a - 891*a + 481*a - 13 + 19*a**3 as d*a**3 + r*a**2 + s + b*a and give d.
19
Express (-6 - 5 + 3)*(1 + 25 - 47)*(o + 0 + 0)*((0 - 1 + 6)*(-1 + 5 + 0) + (-3 + 5 + 1)*(0 + 3 - 1)) as k + l*o and give l.
4368
Rearrange (3*z**2 - 7*z**2 - 4 + 3*z**2)*(-1 + 2 + 2)*(-2 - 39 + 7) to l + b*z + a*z**2 and give l.
408
Rearrange 12 - 13 + 3 - i**3 - 290*i + 292*i + 232*i**2 to the form d*i + p + x*i**2 + c*i**3 and give c.
-1
Express -33*m + 28*m**3 - 31*m - 2 - 52*m + 113*m + m**2 in the form h*m**2 + c*m**3 + n + d*m and give h.
1
Express 14 - 19*u**2 + 8 + 9*u**2 - 21 + 13*u**2 - 730*u as z*u + j + y*u**2 and give j.
1
Express 1 + 507*w**4 + 202*w**4 + 79344*w - 79341*w as c*w**3 + y*w + m*w**2 + d + a*w**4 and give a.
709
Express 177*o**4 - 167*o**4 - o**3 - 15 - 8*o**4 as x*o**3 + k + v*o + w*o**2 + f*o**4 and give f.
2
Rearrange (s**2 + 1 - 1)*(-20064 + 4*s**2 - 20067 + 40152 + 21*s) to g + y*s + i*s**4 + c*s**3 + j*s**2 and give j.
21
Express -l**3 + 14090*l - 720 - 71*l**4 - 14092*l + 717 - l**2 as c*l**3 + d*l**4 + y*l**2 + a + k*l and give y.
-1
Rearrange (1 + 3 - 5)*(0*a + 2*a + a) - 4304*a + 14997*a + 5869*a - 505*a + 5630*a to the form p + j*a and give j.
21684
Express (10*j + 20*j - 126*j)*(-95*j + 6032 - 6032) in the form v*j**2 + a + q*j and give v.
9120
Rearrange (2*k**3 - 2*k**3 + 2*k**3)*(-2*k + k - k) + 1226 - 410 - 409 - 405 + 43*k**4 + 21*k**3 to j*k + u*k**2 + c*k**4 + d*k**3 + n and give c.
39
Rearrange (-g**2 + 3*g**2 - 11*g**2)*(-3 + 0 + 4) + 60*g**2 - 70*g**2 - 45*g**2 + (-5*g + 2*g + 2*g)*(-5*g + g + 0*g) to s*g**2 + i + z*g and give s.
-60
Rearrange -46*v**2 + 36 + 39*v**2 + 4*v**2 + 39 - 9 to b*v + f*v**2 + y and give y.
66
Express -2*p**2 + 9*p + 12*p - 147 + 9*p - 12*p - 20*p in the form d + g*p + s*p**2 and give s.
-2
Express (-5*p + p + 5*p)*(p**3 + 2*p**3 - 4*p**3) + (-2*p**3 - 6 + 6)*(1750 - 1749 + 13*p + 74*p) as y + v*p + i*p**4 + b*p**3 + f*p**2 and give b.
-2
Express (2 + 2 - 3)*(15 + 1 - 1)*(-23*i + 21*i - 15*i + i - 2*i + 0*i + (0 + 1 - 3)*(4 + 2*i - 4) - 2*i - 2*i + 2*i + 0 + 0 - i) in the form k + t*i and give t.
-375
Express (-12 + 55 - 2)*(-35*i**2 - 39*i**2 - 51*i**2) in the form l + q*i**2 + k*i and give l.
0
Express -293*t**4 + 578*t**4 + 4*t - 6*t**3 - 7*t**2 - 284*t**4 + 9*t**3 - 1 as o + f*t**4 + m*t**3 + v*t**2 + c*t and give c.
4
Express -4093 + 8816 + n + 4926 + 5007 in the form b*n + c and give b.
1
Rearrange 25*b**4 + 12 - 10 + 10*b**3 - 80*b**4 - 2*b**4 to the form x*b**4 + c*b**2 + o*b**3 + s + q*b and give x.
-57
Express -1469*n**3 + 3588*n**3 - 1417*n**3 + 13*n**2 + 2 in the form t*n**2 + y + p*n + o*n**3 and give y.
2
Express -25*v - 15578 + 31*v - v**2 + 15687 - v**4 as t*v**3 + k*v**4 + h*v**2 + n*v + u and give h.
-1
Express -17995348 - 29*l + 2*l**3 + l**2 + 17995348 in the form y*l + b*l**3 + q*l**2 + g and give y.
-29
Rearrange 8*t**3 - 2*t**3 - 69*t + 9*t**3 + 80*t to u*t**2 + w*t**3 + h*t + m and give w.
15
Express 33 - 34*g - 13*g + 50*g - 24*g - 36*g as w + j*g and give j.
-57
Rearrange -2*n + n**3 - 664 + 1333 - 667 + 3*n**2 + 17*n**4 to the form l + p*n + v*n**2 + d*n**3 + h*n**4 and give l.
2
Express (0 - c + 0)*(0 + 0 - 2 + (-1 + 3 - 3)*(-247 + 820 + 396) - 2 + 2 + 2) + c + c - c as j*c + q and give j.
970
Express -37 + 0 - 46*k + 2 + 48*k - 1 - 2*k**3 + 7*k**4 - 2*k**2 as b*k**2 + u*k + f*k**4 + w*k**3 + t and give b.
-2
Express 7740*w**2 + 49295*w - 49295*w + 1037*w**2 in the form k*w + s + i*w**2 and give i.
8777
Express 14*x**3 + 27*x**3 - 7*x**3 + 453933 + 0*x**2 - x**2 - 453981 as y*x + k*x**3 + u*x**2 + z and give k.
34
Rearrange -134291*m + 122090*m - 3 + 3 to a*m + z and give a.
-12201
Express (4 + 4 - 4)*(-127 - 14 - 96)*(7 + 3*f - 7) as a*f + z and give a.
-2844
Express (-1 + 1 - 1)*(-2*k + k - 2*k) + 70*k + 36*k + 25*k + (-2 - 2*k + 2)*(-3 - 2 + 3) + 2*k - 1 + 1 in the form p + n*k and give n.
140
Rearrange -5*k**2 + 5*k**2 + k**2 + (-17*k**2 + 2*k**2 + 0*k**2)*(-3 - 5 + 26)*(2 + 1 - 6) to the form f*k**2 + m + h*k and give f.
811
Rearrange 275 - 275 - 2*k**2 - 249*k**3 - 463*k**3 - 3*k**2 to t*k + p*k**2 + h*k**3 + l and give h.
-712
Express -126*f**2 + 40*f**2 + 2*f + 1 + 37*f**2 + 9 + 44*f**2 in the form j + g*f + k*f**2 and give g.
2
Rearrange -155 - 2 + 2 + 2*c**3 + 4*c**4 + c**4 - 2*c**4 to w*c + h + r*c**4 + s*c**3 + y*c**2 and give w.
0
Express 123241*r**2 + 121980*r**2 - 246196*r**2 as i*r + u + z*r**2 and give z.
-975
Rearrange -860*b - 546*b + 7741*b to k + q*b and give q.
6335
Rearrange (-350 - 591 - 2928)*(2*m**2 + 2*m**2 + m**4 + 2*m**2) to v + x*m**4 + c*m**2 + u*m**3 + d*m and give x.
-3869
Rearrange -1646*b - 1172*b - 432*b + 245*b + 180*b to the form x + g*b and give x.
0
Rearrange -1144 + 4438*g**2 + 1144 to z + i*g**2 + o*g and give z.
0
Express (31 + 63 + 70)*(127*w - 6*w + 212 - 211) in the form k + h*w and give h.
19844
Rearrange 13*k**2 + 95 - 2*k + 2*k**3 - 13*k**2 - 92 to f*k**3 + n*k + z + a*k**2 and give z.
3
Rearrange (-p + 10*p + 5*p)*(-259 + 135 + 132)*(-3 + 4 + 1) to the form h*p + x and give x.
0
Rearrange (-3 + 5*q - 3*q + 0)*((-2 - 3*q + 2)*(4 - 2 - 1) + 7*q + 13*q - 23*q + 185) to the form b + i*q**2 + u*q and give b.
-555
Rearrange v**3 - 658771 + 18*v**2 - 69*v**2 + 658773 to the form z + t*v + p*v**3 + a*v**2 and give p.
1
Rearrange -573*a - 7*a**2 + a**2 + 22*a**4 + 14*a**3 + 566*a - 25*a**4 to the form j + t*a**3 + o*a + h*a**2 + y*a**4 and give t.
14
Rearrange (19 - 20 + 24)*(565*a - 229*a - 220*a) to t + d*a and give d.
2668
Express (0*w - w + 4*w + (-2*w + 4*w - w)*(-3 - 1 + 2) + 0*w + 0*w - w - 2*w + 3*w - 3*w - w - w + 0*w)*(-146 - 4299 - 169) as n*w + s and give n.
18456
Express -526 - 28*i + 8*i + 11*i - 2*i as p + x*i and give x.
-11
Rearrange (292*f - 468*f + 279*f)*(-6*f + f**2 - f + 41 - 40) to the form g + s*f + l*f**3 + m*f**2 and give s.
103
Express -2*v**4 - 5*v + 0*v - 204*v**2 + 4*v - 4*v**3 + 6 + 201*v**2 as a*v**4 + b + o*v**2 + j*v**3 + x*v and give a.
-2
Rearrange (-2*z + 2*z - z)*(-2*z + 2*z**2 + 2*z) + 553 + 490 + 2*z**2 - 146*z**3 + 23477*z**3 - 1043 to the form v*z**2 + r*z + h*z**3 + y and give h.
23329
Rearrange 6*u**3 - 7*u**3 + 2*u**3 - 1 - 332*u**2 to the form m*u**3 + y*u + d*u**2 + b and give b.
-1
Express -4*x - 299*x**2 + 675*x**4 + 5*x + 478*x**4 + 2*x**3 + 298*x**2 - 1 - 1 in the form s*x + w + a*x**4 + v*x**3 + h*x**2 and give v.
2
Express -2*f**3 - 122 - 174 + 29 - 6 - 17*f + 22*f as c + m*f + u*f**3 + t*f**2 and give u.
-2
Express 2
|
{
"pile_set_name": "DM Mathematics"
}
|
3*o + f*o**4 wrt o.
12*o**2
Let g = -10 - -14. Differentiate -3 - 12*l**4 + 9*l**g + 4*l**4 wrt l.
4*l**3
Let r(y) = 4*y + 5. Let k be r(-5). Let c be ((-12)/k)/((-6)/(-15)). Find the second derivative of -5*f**3 - 3*f + 3*f + c*f + 3*f**3 wrt f.
-12*f
Let o(a) = 11*a**2 - 11. Let i(c) = 21*c**2 - 23. Let s(r) = -3*i(r) + 7*o(r). Find the first derivative of s(m) wrt m.
28*m
Let h(p) = p**4 + p**3 - 1. Let f(n) = 28*n**4 + 9*n**3 - n - 11. Let i(d) = -2*f(d) + 18*h(d). Find the second derivative of i(k) wrt k.
-456*k**2
Let j = -1 + 3. Let p be -3*(j - (-1 + 4)). What is the first derivative of 0 - 3 + 4 + p*c wrt c?
3
Let z(t) = 7*t**4 + 6*t**3 - 4*t**2 - 6*t. Let v(a) = a**3 - a**2 - a. Let q(f) = 6*v(f) - z(f). What is the third derivative of q(i) wrt i?
-168*i
What is the third derivative of 39*k**6 - 54*k**6 + 33*k**6 + 6*k**2 + 6*k**2 wrt k?
2160*k**3
Let k(l) be the first derivative of l**2 + l - 5 + l**2 + 0 + 0. Find the first derivative of k(b) wrt b.
4
Let g(x) be the third derivative of x**6/3 - 37*x**4/24 - 16*x**2. Find the second derivative of g(a) wrt a.
240*a
Let w be (0 - 0)/(5/(-5)). What is the second derivative of -t**2 + w*t + 3*t - 5*t wrt t?
-2
Let y(i) be the second derivative of -6*i**5/5 + 7*i**2 + 24*i. Differentiate y(g) wrt g.
-72*g**2
Let g(b) be the second derivative of -b**10/2520 - b**6/360 + b**3/2 + 3*b. Let j(r) be the second derivative of g(r). Find the third derivative of j(q) wrt q.
-240*q**3
Let h(f) = f + 8. Suppose -2*d - 9 = 3. Let z be h(d). What is the third derivative of z - x**3 - 2*x**2 - 2 wrt x?
-6
Let x(o) = o**2 - o - 2. Let n be x(-1). Find the third derivative of 4*w**4 - 27*w**2 + 29*w**2 + n*w**4 wrt w.
96*w
Let r(x) = -2*x - 2. Let k be r(-5). Let m be (k - 1)*(-6)/(-21). Differentiate 6*w**2 + 1 - 6*w**m - 4*w**4 wrt w.
-16*w**3
Let f(a) be the second derivative of 0*a**5 - 1/14*a**7 - 1/6*a**3 + 0*a**4 + 0*a**6 + 0*a**2 + 4*a + 0. Find the second derivative of f(p) wrt p.
-60*p**3
Suppose 3*g = 6*g. Let s(i) be the second derivative of 0 + g*i**4 - 1/30*i**6 + 0*i**5 + 0*i**3 + 2*i - i**2. What is the derivative of s(a) wrt a?
-4*a**3
Let i(y) be the second derivative of 0 - 2*y + 1/10*y**5 + 0*y**3 + 0*y**2 + 1/3*y**4. Find the third derivative of i(t) wrt t.
12
Let q(x) = x**2 + x. Let k(h) = -6*h**2 - 3 - h + 0*h**2 - 1 + 3*h**2. Let j(m) = -2*k(m) - 2*q(m). Find the first derivative of j(c) wrt c.
8*c
Suppose 0 = 6*v - 3*v - 54. Find the first derivative of -13 - 5*d**3 - 5*d**3 + v + 3*d**3 wrt d.
-21*d**2
Let v(i) be the first derivative of -i**7/70 + i**5/30 - i**2 - 1. Let t(r) be the second derivative of v(r). What is the third derivative of t(d) wrt d?
-72*d
Suppose 5*d = 4*u + u + 25, 0 = 4*u + 8. Suppose -3*o = -6 - d. What is the first derivative of -2*z**o + 4 - 3 + 4*z**3 wrt z?
6*z**2
Let d(y) be the second derivative of 0*y**3 - 6*y + 0*y**2 - 1/2*y**4 + 0 + 1/10*y**5. Find the third derivative of d(a) wrt a.
12
Let q(v) be the third derivative of 1/15*v**5 + 4*v**2 + 0*v + 1/24*v**4 + 0*v**3 + 0. Find the second derivative of q(x) wrt x.
8
Let m(h) be the first derivative of -3*h**4/4 + 21*h**2/2 + 3. Find the second derivative of m(c) wrt c.
-18*c
Let k(z) be the second derivative of z + 0*z**5 + 2/3*z**4 + 0*z**3 + 0 + 7/30*z**6 + 0*z**2. What is the third derivative of k(b) wrt b?
168*b
Suppose -22 = -h - 3*c - c, -8 = h - 2*c. Let v(g) be the third derivative of 0 - 1/6*g**3 + 0*g + 1/8*g**4 + 3*g**h. Differentiate v(m) with respect to m.
3
Let y(a) be the first derivative of -a**5 - 8*a**3/3 + 4. What is the third derivative of y(p) wrt p?
-120*p
Let p(i) be the first derivative of 0*i + 0*i**3 - i**4 + 3/2*i**2 - 4. What is the second derivative of p(f) wrt f?
-24*f
Find the third derivative of 3*z**2 - 5*z + 5*z - 21*z**6 + z**2 wrt z.
-2520*z**3
Let x(j) be the first derivative of 35*j**4/4 - 41*j**2/2 - 1. What is the second derivative of x(p) wrt p?
210*p
Let d(r) = -r - 2. Let k be d(-6). What is the second derivative of k*g**4 + 2*g - 12*g**4 + g wrt g?
-96*g**2
Find the third derivative of -100*l**2 + 92*l**2 + 6*l**4 + 25*l**4 wrt l.
744*l
Let c(g) be the first derivative of g**6/10 - g**4/4 + 4*g + 4. Let h(w) be the first derivative of c(w). What is the third derivative of h(l) wrt l?
72*l
Let y(c) be the third derivative of c**5/4 - 17*c**3/6 - 38*c**2. What is the first derivative of y(h) wrt h?
30*h
Let w(n) = -5*n**3. Let m be w(-1). Suppose 0 = -4*f - 5*p + 40, -m*f + 12 = -f - 2*p. What is the derivative of 2 + f*i - 4*i + 0*i wrt i?
1
What is the third derivative of 22*y**2 - 24*y**2 - 9*y**5 + 0*y**5 wrt y?
-540*y**2
Let u = 11 - 11. Suppose 4*f + 0 = -3*z + 2, u = 2*z + 4*f. Find the second derivative of 2*o**z - 2*o**2 + 2*o**2 - 2*o + 0*o wrt o.
4
What is the third derivative of -9*k**5 + 3*k**2 - 19*k**5 + 0*k**2 wrt k?
-1680*k**2
Let c(f) be the second derivative of f**9/5040 + f**5/24 - f**4/2 + 7*f. Let g(x) be the third derivative of c(x). Find the first derivative of g(s) wrt s.
12*s**3
Let r = 1 + 1. Find the second derivative of 0*l**r + 2*l - 5*l**2 + l**3 + 5*l**2 wrt l.
6*l
Let j(g) = -10*g**3 - 6. Let t = 51 + -34. Let s(r) = -3*r**3 - 2. Let x(p) = t*s(p) - 6*j(p). Find the first derivative of x(f) wrt f.
27*f**2
Find the second derivative of -1 - 2*s**3 + 3 - 8*s - 13*s + 2*s**4 + 79*s wrt s.
24*s**2 - 12*s
Let j(p) be the second derivative of 1/3*p**3 + 3/2*p**2 + 3*p + 0. Differentiate j(n) wrt n.
2
Let h(v) = -5*v**2 - 3*v. Let p(s) = -s**2 + s. Let n(z) = -3*h(z) + 6*p(z). Find the second derivative of n(i) wrt i.
18
Suppose -5*o + 2 = 32. Let m(u) = -5*u**3 + u**2 + 6. Let r(c) = 15*c**3 - 3*c**2 - 17. Let x(a) = o*r(a) - 17*m(a). What is the third derivative of x(d) wrt d?
-30
Let a = 3 - 2. Let p(u) = 4*u**2 + 4*u - 4. Let y(t) = -t. Let c(j) = -j + 1. Let h be c(-3). Let q(d) = a*p(d) + h*y(d). What is the derivative of q(s) wrt s?
8*s
Let f(c) be the second derivative of -3/56*c**8 + 0*c**5 + 0*c**2 - 4*c + 0*c**7 + 0 + 1/6*c**4 + 0*c**3 + 0*c**6. Find the third derivative of f(p) wrt p.
-360*p**3
Find the second derivative of 24*y + 3*y**2 - 3*y**2 - 9*y - 26*y**4 wrt y.
-312*y**2
What is the second derivative of 4*s**2 - 3*s + 8*s**2 - 4*s - 9*s**2 wrt s?
6
Suppose -5*g = -3*z, -5*g - 5*z + 27 + 13 = 0. Let o be (-10)/(3*(-2)/g). What is the derivative of b - b + o - 4 + 3*b**2 wrt b?
6*b
Suppose -5*c + 2*l = l - 19, -14 = -3*c - 2*l. Let x be (c + -5)/((-1)/2). Differentiate 4 - x*m**2 + m**2 - 3 with respect to m.
-2*m
Let b be (3/3 - 1) + 2. Let l be 24/6*b/4. Find the third derivative of 12*t + t**l - 12*t - t**4 wrt t.
-24*t
Suppose -9 = -3*b + 9. Suppose -b*o = -2*o - 16. What is the second derivative of -o*f**2 + 4*f + f**2 + 7*f**2 - 2*f**2 wrt f?
4
Let p(f) be the third derivative of f**8/56 + f**4/6 + 6*f**2. Find the second derivative of p(q) wrt q.
120*q**3
Let a(u) be the third derivative of u**4/24 - u**3/6 - 5*u**2. What is the derivative of a(p) wrt p?
1
Let x(y) = 2*y**3 + 6*y**2 - 6*y - 7. Let t(z) = -z**2 + z. Let i(c) = 6*t(c) + x(c). Find the first derivative of i(f) wrt f.
6*f**2
What is the second derivative of -181 + 12*o + 9*o**2 + 181 wrt o?
18
Let g(n) be the second derivative of 5*n**4/2 - 5*n**3/2 + 8*n. What is the second derivative of g(v) wrt v?
60
Let v(m) be the second derivative of m**7/280 + m**6/120 + m**3/3 - 3*m. Let y(a) be the second derivative of v(a). Find the third derivative of y(l) wrt l.
18
Suppose -4 - 4 = -2*f. Find the second derivative of 2*k - 15*k**f - 9*k + 22*k**4 wrt k.
84*k**2
Suppose -3*n + 7 = -8. Find the second derivative of y**4 + 2*y + 0*y + n*y - 5*y**4 wrt y.
-48*y**2
Let k(q) = -47*q**4 + 8*q**3 + 37*q**2 - 8*q. Let t(h) = 31*h**4 - 5*h**3 - 25*h**2 + 5*h. Let d(a) = -5*k(a) - 8*t(a). Find the third derivative of d(y) wrt y.
-312*y
Let s(q) be the third derivative of q**8/280 + q**5/30 - q**3/3 - 5*q**2. Let v(m) be the first derivative of s(m). What is the second derivative of v(c) wrt c?
72*c**2
Let h(t) be the third derivative of 0*t**6 + 0 + 0*t + 0*t**3 + 1/6*t**4 + 0*t**5 + 2/105*t**7 - 3*t**2. What is the second derivative of h(p) wrt p?
48*p**2
Find the third derivative of -4*h**2 - h**2 + 9*h**4 + 2*h**2 wrt h.
216*h
Let j(k) be the thir
|
{
"pile_set_name": "DM Mathematics"
}
|
i - 6*i + 3*i as d*i + j and give d.
11
Express (-m**3 - 4*m**3 + 3*m**3)*(m - 3*m + m)*(5 - 37 + 2 + (-3 - 3 + 4)*(-2 + 3 - 3)) as t*m + f*m**2 + l*m**4 + z + h*m**3 and give l.
-52
Rearrange 3 - 1 - 9*x - 2 to the form z + w*x and give w.
-9
Express (-k + 4*k - k)*(3*k - k - k) - k + 49 - 25 - 27*k**2 - 25 as o + p*k**2 + b*k and give b.
-1
Rearrange 0*x + 11*x - x to r*x + c and give r.
10
Express 130*c**2 - 2204*c + 2204*c in the form b*c**2 + p + x*c and give b.
130
Express -4 - 2*l**2 - 7 + 8 + 3*l + 12 as v*l**2 + n + c*l and give c.
3
Express (3*p - 10*p - p)*(-4*p**3 + p**3 + 2*p**3) as x*p**3 + a*p**2 + s*p**4 + d*p + v and give s.
8
Rearrange (3*r - 6*r + 2*r)*(6 - 20 - 13) to the form z*r + k and give z.
27
Express 3*l**2 - l**2 + l**2 + (3*l - 2*l + l)*(-2*l - l + 4*l) - l**2 - 3*l + 3*l + (0*l + l**2 + 0*l)*(2 + 1 - 4) in the form z + y*l**2 + m*l and give y.
3
Rearrange (-1 - 1091*x - x**2 + 3 + 1089*x)*(2*x**2 + 1 - 1) to g*x**4 + s*x**2 + d*x + h + a*x**3 and give a.
-4
Rearrange -442*i - 3*i**4 + 440*i - 2 - 2*i**3 + i**3 to the form l*i**3 + x*i**4 + y*i**2 + j + s*i and give j.
-2
Rearrange -6*r**3 + 3*r**2 + 2 - r**4 + 4*r**3 + 2*r**4 - r to a*r**4 + t + s*r**3 + v*r + o*r**2 and give o.
3
Express 2 - 3*t**4 - t**3 + 2*t**4 - 3 as z*t + h*t**3 + k + c*t**2 + s*t**4 and give s.
-1
Rearrange -307 + 20*t + 307 to the form w + l*t and give l.
20
Rearrange (-3 - 21 + 6)*(-4 - 1 + 4)*(-5*n + 3*n + n) to the form p + y*n and give y.
-18
Express 0 + 0 + p**3 + (-2*p - 2*p + 2*p)*(-4*p**2 - p**2 + 4*p**2) + 2 - 4*p**3 - 2 - 14*p + 14*p - 4*p**3 in the form t + n*p**2 + w*p + u*p**3 and give u.
-5
Rearrange 3 - 3*h**2 - 3 - 3 - h**2 to the form l*h**2 + x + v*h and give l.
-4
Express -17*v + 5 + 33*v + 2 - 12*v in the form h + a*v and give a.
4
Express (141*w**2 - 137*w**2 - 2 - 3)*(12 + 0 - 9) in the form o + j*w + u*w**2 and give u.
12
Rearrange -2*s**4 + s**3 - 4*s**4 + 2*s**4 + 4 + 2*s**4 to j*s**4 + f*s**2 + c*s + r + t*s**3 and give j.
-2
Express 17*m**3 - 7*m**3 - 2*m**2 - 6*m**3 - 2 in the form d*m**2 + g + i*m + l*m**3 and give d.
-2
Rearrange 9*b - 656 + 656 to the form o + s*b and give s.
9
Express 0*g**3 - g - 11 - 1 - 2*g**2 + 3*g**2 - 2*g**3 as v*g**3 + b*g + i*g**2 + u and give i.
1
Express -7*a + 3*a + 8*a + 12*a as q*a + k and give q.
16
Express -f**4 - 18*f**3 - 1 - 2*f - 4*f**2 + f**2 + 18*f**3 as i*f**2 + q + o*f**3 + l*f + t*f**4 and give l.
-2
Express -5*k**2 + 4*k**2 - k**3 + 2*k**2 - 2*k**4 as o*k**4 + f*k + m*k**2 + b*k**3 + u and give m.
1
Rearrange (1 + 5 - 1)*(-2 + 0 + 1)*(1 + 4 + 1)*(1 + 2 - 2)*(3 - 3 - i**2) to y*i + j + l*i**2 and give l.
30
Rearrange 24*n - 2 - 22*n + 4 - 5*n**3 to m*n**2 + y + b*n**3 + f*n and give y.
2
Express v + 3*v - 2*v + (0*v + 2*v - 3*v)*(35 + 30 - 16) as p + c*v and give c.
-47
Express d - d + d**3 + (-d + d + 2*d**3)*(-15 - 4 + 3) as b*d + i + z*d**2 + q*d**3 and give q.
-31
Rearrange 0*y - 13*y + y to s*y + f and give s.
-12
Express -47*q**2 - 75 + 75 in the form b + s*q + o*q**2 and give s.
0
Express -13*s**2 + 9*s**2 - 98*s**2 - 2*s**2 in the form m*s**2 + c*s + j and give c.
0
Rearrange i**4 + 0*i - i**3 + 2*i**3 - 3*i**3 + 2*i**2 - i to s*i**2 + c*i + b*i**3 + f*i**4 + z and give c.
-1
Rearrange (-2*a - 3*a**2 + 5*a**2 - a**2)*(-38*a + 38*a + 10*a**2 + (-4*a + 0*a + 3*a)*(0 + 0 - a)) to the form s*a**4 + x*a**3 + i*a**2 + v*a + h and give s.
11
Rearrange 38*y - 1 - 38*y + 4*y**2 + (-y - 3*y + 2*y)*(-y + 6*y - 3*y) + 3*y**2 - 4*y + 4*y to the form s + c*y + o*y**2 and give s.
-1
Express (2 + 2*b - 2)*(0*b**3 + 0*b**3 + b**3) + (27 + 10 - 3)*(-b**4 - b**4 + b**4) as x*b + w + c*b**3 + z*b**2 + t*b**4 and give t.
-32
Express (-2 + 2 - 5*b)*(11*b**3 + 17*b - 17*b) as y*b + h*b**3 + x + i*b**4 + j*b**2 and give i.
-55
Rearrange 3 - 4*j**4 + j**3 + 2 + j - 3*j**4 - 4 to z*j**3 + x*j**2 + s*j**4 + t + m*j and give z.
1
Rearrange -5*u - 3*u**3 - 19*u**2 + 13*u**2 + 8*u**2 + 0 + 2 to x*u**3 + i*u + g + a*u**2 and give i.
-5
Rearrange -16*a**2 + 6 + 8*a**2 - 1 - 2*a**4 + 3*a**2 to j*a**4 + d*a + u + s*a**2 + m*a**3 and give u.
5
Express 2644 - 2644 + 7*f**2 + f + 2*f in the form c + a*f**2 + r*f and give a.
7
Express -59*d - 56*d + 52*d - 54*d as u + q*d and give q.
-117
Express (8 - 2 - 2)*(-3 - 4 + 1)*(j**2 + 4*j**2 - 4*j**2) as n + v*j**2 + a*j and give v.
-24
Express -4*y**2 - y**3 + 20*y - 43*y + 22*y as r + i*y**2 + j*y**3 + f*y and give f.
-1
Rearrange 5*c - 5*c + 0*c + 2*c - c**2 + c**4 - 7*c**3 to n*c**2 + u*c**4 + o*c + d*c**3 + a and give d.
-7
Express (1 + 1 - 4)*(4 - 6 + 1)*(5 - 5 - 3*k + (-k + 0*k + 0*k)*(3 + 1 - 2) + 0 - 2*k + 0) in the form s + u*k and give u.
-14
Rearrange 47*z + 4*z**2 - 1 - 47*z + 0 to q*z + f + x*z**2 and give q.
0
Rearrange 2*m**3 + 3*m**4 + m**4 - 4*m**3 + 1 - 5*m**4 to the form u*m**2 + i*m**4 + o*m + l + b*m**3 and give i.
-1
Rearrange -8*l**3 - l**4 + 0*l**3 - 7*l**2 + 6*l**3 to the form m*l + y*l**3 + w*l**2 + z*l**4 + u and give w.
-7
Express (43 + 7*m - 43)*(-4*m**2 + 6*m**2 + 0*m**2) in the form h*m**3 + x*m**2 + w + q*m and give h.
14
Rearrange (-r + 4*r - 5*r)*(5*r**2 - 5*r**2 + 5*r**3) + 2*r**3 - 2*r**3 + 2*r**4 to f*r**2 + b + y*r**4 + t*r**3 + k*r and give y.
-8
Express -10*p**2 + 5*p**3 - 2*p**3 + 25*p**2 - p**3 in the form d*p + g*p**3 + h + r*p**2 and give r.
15
Rearrange -7 + 3 - 43*a + 5 - 2 to h + t*a and give h.
-1
Rearrange (3 + 1 + 25)*(-5 + 3 + n + 0) to f + q*n and give q.
29
Express -y - y**2 + 0*y**2 + 0*y**2 + 6*y**2 in the form t*y**2 + c*y + o and give t.
5
Express (2 - 3 + 2)*(a**4 - 3*a**4 + 4*a**4) - 16*a**4 + 0*a**4 + 3*a**4 - 5*a**4 + 4*a**4 + 0*a**4 as o + j*a**3 + k*a + s*a**4 + h*a**2 and give s.
-12
Express 4 - 4 - 8*b in the form r + o*b and give o.
-8
Rearrange -7*x - 2*x**4 - x**4 - 3 + x**4 + 4*x**4 to the form o*x**3 + p*x + z*x**4 + c*x**2 + w and give p.
-7
Rearrange -14*u + 11*u - 2*u - 1 to the form g + c*u and give g.
-1
Express (29 + 27 + 13)*(-j - j + 3*j) in the form y + r*j and give r.
69
Rearrange ((-6*z + 3*z - 4*z)*(2 - 1 - 3) - z - 3*z + 5*z + 4*z - 3*z - 2*z)*(3*z**2 - z**2 + z - z**2) to the form m*z**2 + f*z**3 + l + h*z and give m.
14
Express (4*q**2 - q**2 - 4*q**2)*(-4*q + 4*q + q) + (4*q + 2*q**2 - 4*q)*(-1 + 1 - 2*q) - 4*q + 4*q - 3*q**3 in the form l*q + f + n*q**3 + i*q**2 and give n.
-8
Express -11 + 11 + 6*n - n**2 as b + q*n**2 + f*n and give q.
-1
Express -1 + 2*r**2 + 6 - r**2 as j*r + v + i*r**2 and give v.
5
Rearrange -3 - 2 + 0*w + 0*w + 7*w + 2*w**3 to the form i + v*w + l*w**2 + m*w**3 and give v.
7
Rearrange -1 - 25*a**3 + 201*a**2 + 0 - 199*a**2 to d*a + y + z*a**3 + j*a**2 and give y.
-1
Rearrange (m + 0*m - 4*m)*(1 - 3 + 6) to the form n + o*m and give o.
-12
Rearrange 0*x**3 + 0*x**2 + x**2 - 4*x**2 - 2 + 3*x**3 to the form k*x + q*x**2 + c*x**3 + v and give c.
3
Express 231 - 229 - n + n**2 - n**3 + n**2 + 2*n**4 in the form t*n**3 + s + u*n + b*n**4 + v*n**2 and give t.
-1
Express (h + h - h)*((67*h - 119*h + 0*h)*(0 + 0 - 1) + (-4*h - h + 6*h)*(1 - 1 + 2)) + (2 - 2 + h)*(-h - h + 3*h) as x*h**2 + w*h + y and give x.
55
Express 57*p**2 - 2 + 49*p**2 - 2*p - 90*p**2 as d*p + l*p**2 + k and give k.
-2
Rearrange (4 - 1 - 1)*(-3*v**2 + 3*v**2 - v**2)*(-4 + 4 - 13*v) to a*v**3 + s + b*v**2 + j*v and give b.
0
Express (1 + 0 + 0)*(-1051 + 1051 + 149*q) in the form j*q + l and give j.
149
Rearrange r**3 - 100*r + 12*r**2 - 38*r**2 + 102*r to h*r + j*r**3 + i*r**2 + m and give h.
2
Rearrange -w - 14*w - 13*w to the form y + g*w and give g.
-28
Rearrange -21*s - 12*s + 2*s to l*s + i and give l.
-31
Rearrange 37*g**2 + 3 - 78*g**2 + 42*g**2 to the form c*g + t*g**2 + q and give q.
3
Rearrange 45*f**2 - 10*f**2 - 17*f**2 to the form x*f + z*f**2 + b and give z.
18
Express a**4 + a**4 + 3*a - a**3 - 1 + 2*a - 4*a as m*a**2 + d*a**3 + y + k*a + c*a**4 and give k.
1
Rearrange -12*o + 38*o + 11*o to the form c*o + h and give c.
37
Express 2*b + 0*b**2 - 8*b - b**2 + 2 + (0*b - b + 2*b)*(-3*b - 4*b + 5*b) - 2*b - 2*b**2 + 2*b in the form s + y*b**2 + r*b and give r.
-6
Express 2*o**2 - 3 + o**2 + 8 in the form q*o**2 + t + p*o and give t.
5
Rearrange (0 + 0 + 26*l)*(-5 + 1 + 5) to j*l + i and give j.
26
Rearrange 9*j**2 + 0*j**2 - 6*j**2 + (3 - 3 - 2*j)*(3 - 3 - j) + (0*
|
{
"pile_set_name": "DM Mathematics"
}
|
(833)) + 3 - ((sqrt(833) + 1)*-6 + sqrt(833) - sqrt(833))) + ((sqrt(833) + 0)*-6 - sqrt(833) - (-1 + sqrt(833))*3) + 5)**2.
-952*sqrt(17) + 13617
Simplify sqrt(7)*3*1 + (sqrt(7) + 1)*-3 + (-5*(sqrt(448) + (sqrt(448)*-1 - sqrt(448))) - sqrt(448))**2 + 2.
7167
Simplify ((sqrt(704) + 3)*-3 + (sqrt(1584) - (sqrt(1584) - (sqrt(1584) - 1*(0 + sqrt(1584)))))*-1)**2.
432*sqrt(11) + 6417
Simplify -6*(-2*-1*(sqrt(77) + (sqrt(77) - -1*sqrt(77))*-5 + sqrt(77) + sqrt(77)))/((3*sqrt(110)*-1)/((sqrt(70)*-2)/sqrt(7))).
56*sqrt(7)
Simplify 0 + (sqrt(128)/sqrt(4))**2 + -3 + sqrt(72)*-1 - (6*(-3 + (sqrt(242)*1 - sqrt(242)) - (-4 + (sqrt(242) + 1 - sqrt(242)))))**2.
-6*sqrt(2) + 29
Simplify (6*(sqrt(495) - (sqrt(495) + sqrt(495) + 6*(3*sqrt(495) + sqrt(495))))/(sqrt(35)/sqrt(7)*-6*3))**2.
6875
Simplify (((sqrt(19)*2 - sqrt(19) - sqrt(19))*4 - (sqrt(19) + sqrt(38)/sqrt(2))*4) + 5 - (sqrt(1216) + sqrt(1216) + -3 + 2 + -4))**2.
-480*sqrt(19) + 11044
Simplify (4 + -1 + -6*2*(sqrt(304) - (-1 + -1 + sqrt(304) + sqrt(304)))*6 + 5)**2.
-78336*sqrt(19) + 1594432
Simplify 3 + 2*sqrt(28)/sqrt(4) + -5 + ((sqrt(63) + sqrt(1575))*5 + 5)**2.
902*sqrt(7) + 56723
Simplify 0 + 2 + (sqrt(98) - (1*sqrt(98)*-1)**2 - (1 + ((sqrt(98) + 2 - sqrt(98)) + sqrt(98))**2)) + -3.
-202 - 21*sqrt(2)
Simplify ((3*(-5 + (2*(sqrt(1100) + 0) - (sqrt(1100) + -4*sqrt(1100)*-1))) + 4)*4)**2.
31680*sqrt(11) + 1427536
Simplify ((3 + (sqrt(245) - (1 + sqrt(245))) + 3)*1 - (1 + (1 + sqrt(245) - sqrt(245)))*6*-3)**2.
1681
Simplify (sqrt(576)*3*3*4)/((sqrt(1620)*-2)/(sqrt(1000) - (2*sqrt(1000) + sqrt(1000) + sqrt(1000) + sqrt(1000)))).
960*sqrt(2)
Simplify sqrt(425) + 2 + 0 + -3 + sqrt(425)*1 - (-4 + 2*sqrt(425) - (-1 + sqrt(425) - sqrt(425))*-3)**2.
-1750 + 150*sqrt(17)
Simplify -2*(sqrt(132) - (sqrt(132) - (sqrt(132) + (sqrt(132)*-3 - sqrt(132)))*-2))/(sqrt(396)*-3) + -4 + 4.
4*sqrt(3)/3
Simplify (6*sqrt(105)/(sqrt(49)/(sqrt(7)*-1)))/((sqrt(300) - (sqrt(300) + sqrt(300)*2 + sqrt(300) - sqrt(300)))*-4 - -2*1*sqrt(300)).
-3*sqrt(5)/50
Simplify -1 + (2*sqrt(91)*-4 - sqrt(91)*1*5)/(sqrt(56)/sqrt(2) - ((sqrt(7) - sqrt(112)*3 - sqrt(7)) + sqrt(7)))*5.
-5*sqrt(13) - 1
Simplify ((4*(sqrt(252) + -1) - (4 + sqrt(252) + 0))**2 - (2*sqrt(252) + 3 + sqrt(252) + sqrt(252) + -1 + sqrt(252) + -3)) + 0 + 1.
-318*sqrt(7) + 2334
Simplify sqrt(13) + (-1 + sqrt(13))*5 - ((sqrt(91) - (sqrt(91) - 2*sqrt(91)))/sqrt(7))**2 - (sqrt(1053)*-3 + 2)*1.
-59 + 33*sqrt(13)
Simplify (-1 + (-1 + sqrt(68))**2 + 2*sqrt(68)*-2 - (5*sqrt(68)*2 - (4 + sqrt(68) + 1)))*-1.
-73 + 30*sqrt(17)
Simplify (-3*sqrt(1008)*2 - sqrt(1008)) + -4 + sqrt(1008) + (sqrt(1008) + 1)**2 - (-3 + 3*3*(-1 + sqrt(7))).
-57*sqrt(7) + 1017
Simplify (-1 + 1 + 4*-2*(sqrt(343) - (sqrt(343) + (3*sqrt(343) - sqrt(343))) - sqrt(343)) + -1)**2 + 1.
-336*sqrt(7) + 197570
Simplify 5*(((sqrt(16) + sqrt(144)*-4)*3)/(-1*sqrt(16)/(sqrt(12)/sqrt(6))) + 4)**2.
1320*sqrt(2) + 10970
Simplify (-1 + -2*-5*(-1 + (sqrt(700) + 6*(0 + sqrt(700) - sqrt(700)) - (sqrt(700) - (sqrt(700) + -5 + -2 + sqrt(700) + sqrt(700)))) + -4))**2.
-72600*sqrt(7) + 644641
Simplify 2 + 6*(sqrt(325))**2*4 - 4*(-3*(sqrt(156) - (sqrt(156) - sqrt(156)*-2)))/sqrt(12).
-24*sqrt(13) + 7802
Simplify 0 + ((1*sqrt(27)/sqrt(3) + sqrt(9))/(sqrt(18)/sqrt(96)) - ((-4 + sqrt(3) + -2 + sqrt(3))**2 + sqrt(3) + sqrt(432))).
-48 + 19*sqrt(3)
Simplify (sqrt(847) + -4 + -1)**2*5 + 4 - ((sqrt(847) - 3*sqrt(847))**2 + 3 + -2*(sqrt(847) - (sqrt(847)*-1)**2)).
-528*sqrt(7) - 721
Simplify 1 + (((2*sqrt(363) + sqrt(363))*-5)**2 - (sqrt(363) + (-6*(sqrt(363) - 1*sqrt(363)))**2)) + (1 + sqrt(363))**2 + 3 + -2 + 0.
11*sqrt(3) + 82041
Simplify ((-6*sqrt(108)*-2)/(-1*sqrt(1452)))/(-1*sqrt(363)*-2 + sqrt(363) - sqrt(363)*-2*-4).
12*sqrt(3)/605
Simplify ((-1*((sqrt(132) - -1*sqrt(132)) + sqrt(132)) + sqrt(132) + (-3*(sqrt(132)*2 - sqrt(132)) - sqrt(132)))/(sqrt(72)/sqrt(6)*5 + 1*sqrt(12)*3))**2.
99/16
Simplify -4 + -2*((sqrt(539)*2)**2 + 0)*3*6 + 5.
-77615
Simplify ((((-2 + sqrt(243))*-5 + sqrt(243) + 2 + -3)**2 - ((2 + sqrt(243) - sqrt(243))*5*1)**2) + 5)*-5.
-19370 + 3240*sqrt(3)
Simplify ((-4 + sqrt(1088))*-4*5)**2 - 6*(3 + sqrt(136)/(sqrt(8) + sqrt(512) + sqrt(8))).
-128003*sqrt(17)/5 + 441582
Simplify 4*sqrt(1088) + 4*(-1 + sqrt(17)) - (-6*(sqrt(187)*1 + sqrt(187)) - sqrt(187))/(sqrt(539) + -2*sqrt(539)).
-4 + 239*sqrt(17)/7
Simplify ((-6*sqrt(352)*-2 + (-5*sqrt(352)*2 - sqrt(352)))*2)/(-5*(sqrt(288) - (sqrt(288)*2 + sqrt(288) + sqrt(288) - sqrt(288))) + -2*sqrt(288)*1).
sqrt(11)/12
Simplify (-6*(sqrt(187) + (6*sqrt(187) + sqrt(187) - sqrt(187)) + sqrt(187))*4)/(-1*(sqrt(539)*-2 + sqrt(11)))*-3.
576*sqrt(17)/13
Simplify (-6*1*(-1*(sqrt(90)*2 + sqrt(90) - sqrt(90)))/((-2*2*sqrt(10))/sqrt(5)) + 3)**2.
-54*sqrt(5) + 414
Simplify 1*((sqrt(1088)*4*4)**2 + sqrt(612) + -5 + -1*sqrt(612) + sqrt(612)) + 3.
6*sqrt(17) + 278526
Simplify 5 + -3 + (1*-4*sqrt(500)*-2*1)**2 + -3 + -1.
31998
Simplify ((((sqrt(85)*3 - sqrt(85)) + sqrt(85))*-6 - sqrt(85))*-3)/(sqrt(10)/(sqrt(6)/(sqrt(3) + sqrt(30)/sqrt(10)))).
57*sqrt(17)/2
Simplify (-4 + 5*(-4 + 1*sqrt(539) + sqrt(539) + -1 + 2*sqrt(539) - (1 + (sqrt(539)*-2 + sqrt(539) - sqrt(539)) + 3)))**2.
-20580*sqrt(11) + 487501
Simplify 5*(3 + (5*(sqrt(187) + sqrt(187)*1 + sqrt(187))*-5)/(sqrt(891) - ((sqrt(891) - (sqrt(891)*3 - sqrt(891)) - sqrt(891)) + sqrt(891))*-2)).
15 + 125*sqrt(17)/3
Simplify (-1 + -4 + -5 + (-1*sqrt(72) - sqrt(72) - sqrt(72)) + -5 + 5 + -1)**2*-2.
-1538 - 792*sqrt(2)
Simplify -1*(((sqrt(176)*-1 + sqrt(176))*4)/(sqrt(484) + sqrt(484) + sqrt(484) + -1*sqrt(484) + sqrt(484) + sqrt(484)) + 0).
0
Simplify 3 + (4 + -3*((sqrt(68) - 2*(sqrt(68) + 0 + sqrt(68))**2) + (sqrt(68)*1 + 3)**2 + -4))*-1.
-1414 + 42*sqrt(17)
Simplify -3*(-1 + (2*sqrt(147) - sqrt(147)) - (sqrt(147) - (sqrt(147) + 0 + -2)) - (-1*(-2 + (0 + sqrt(147) - sqrt(147)))*-3)**2).
-21*sqrt(3) + 117
Simplify (1*((sqrt(847) - (sqrt(847) + -1))*-5 - (3 + sqrt(847) + 0 + sqrt(847))) + -1*sqrt(847)*6*1 + -3)**2.
1936*sqrt(7) + 54329
Simplify ((((-2*sqrt(80) + sqrt(80))*3)**2 - (sqrt(80) + sqrt(80) + sqrt(80)*1)**2*2) + -2 + 0)*-1.
722
Simplify ((6*-2*sqrt(209) + sqrt(209))*3)/((sqrt(121) + sqrt(121)*1)/sqrt(11) + sqrt(77)/(sqrt(21)/sqrt(3)))*1.
-11*sqrt(19)
Simplify 0 + (-2 + (sqrt(931) - (sqrt(931) + sqrt(931) + sqrt(931) + 1 + 4)))**2 - ((-4*sqrt(931))**2*-4 - ((2 + sqrt(931) - sqrt(931)) + -1)).
196*sqrt(19) + 63358
Simplify (-5*sqrt(64) + (sqrt(40)/sqrt(160) - sqrt(4)))/(-1*sqrt(200)*5 - ((sqrt(200) + 2*sqrt(200))*2 - sqrt(200))).
83*sqrt(2)/400
Simplify -4 + ((((sqrt(19) - (sqrt(304) + -1)) + 5)**2 - ((sqrt(19) - -3*(sqrt(19) + 1)) + 5)) + 0)*-5.
-999 + 200*sqrt(19)
Simplify ((-3*(sqrt(228)*-1 - sqrt(228)))/(sqrt(36)/sqrt(3)*1) - ((sqrt(2736)*2 - sqrt(2736)) + 2 + sqrt(19) + -5))**2.
-42*sqrt(19) + 940
Simplify 1*((sqrt(80)/(sqrt(5) + sqrt(80)*-4))/((sqrt(288)*-2 + sqrt(288))*-6))**2.
1/145800
Simplify 5*(-1 + sqrt(1900)*-2)*-6 + (-5 + sqrt(1900)*-2)*1 + 5.
30 + 580*sqrt(19)
Simplify (-2 + 4*(4*(sqrt(1088) + 2 + sqrt(1088)) - (-1 + sqrt(1088) + -1 + sqrt(1088))) + -2 + -3 + -5)**2.
10752*sqrt(17) + 627472
Simplify (-3*-2*sqrt(320)*-2)/((sqrt(1440) - sqrt(1440)*-1)*1 + 3*-1*sqrt(1440)).
4*sqrt(2)
Simplify (-2*(-3*sqrt(3400) - sqrt(3400))*4)/(sqrt(128)*-6 - (sqrt(32) + sqrt(192)/sqrt(6))).
-40*sqrt(17)/7
Simplify ((-5*(-1 + sqrt(720) + 1))**2 + (sqrt(720) + (sqrt(720) - (sqrt(720)*2 - sqrt(720)))*5)*-6)*1.
-72*sqrt(5) + 18000
Simplify (sqrt(11) + (sqrt(121)/(sqrt(11)*-5))**2 - (-5*sqrt(539))**2) + (4*(sqrt(55) + (sqrt(55) - sqrt(495))))/(sqrt(45)*3).
-336864/25 + 5*sqrt(11)/9
Simplify (4*-2*sqrt(833)*4 - ((sqrt(102)/sqrt(6) + 1)**2 - sqrt(85)/sqrt(125)))*-6 + 3.
111 + 6774*sqrt(17)/5
Simplify (-2 + 3*-5*(-2*sqrt(2736) - sqrt(2736)) - (((sqrt(95)*2 - sqrt(95)) + sqrt(95))*1)/(sqrt(60)/(2*sqrt(12)) - sqrt(5)))**2.
-2176*sqrt(19) + 5622788
Simplify -4 + ((sqrt(135)*1*5)/((sqrt(18)/sqrt(3))/sqrt(2)))/(2*(sqrt(90)/(sqrt(20)/sqrt(2)) - (sqrt(81) - sqrt(9))*-6)).
-4 + 5*sqrt(5)/26
Simplify (-3*(4*(3*sqrt(99) + 0) + (sqrt(99) - -2*sqrt(99)*-1) + -3)*4)**2.
-28512*sqrt(11) + 1726272
Simplify -6*3*6*1*2*(sqrt(200) + (sqrt(200)*-1)**2 + sqrt(200))*-6.
25920*sqrt(2) + 259200
Simplify (6*(4 + (sqrt(425) - (4*(sqrt(425) + -2) + sqrt(425)))))**2 - (
|
{
"pile_set_name": "DM Mathematics"
}
|
817
What is the derivative of 446 - 905*w - 398*w + 1736*w wrt w?
433
Find the second derivative of -86*d**4 + 62*d - 48*d**4 - 116*d + 2 wrt d.
-1608*d**2
Let n(c) = c**2 - 13*c - 27. Let g be n(16). What is the third derivative of -g*b**2 + 995 - 26*b**4 - 995 wrt b?
-624*b
Let v(s) be the first derivative of 11*s**6/360 - 5*s**4/6 - 22*s**3/3 + 21. Let m(z) be the third derivative of v(z). Differentiate m(f) with respect to f.
22*f
Let w(t) be the third derivative of -34*t**4/3 + 229*t**3/6 + 228*t**2. Find the first derivative of w(q) wrt q.
-272
Let g(b) = 3*b**2 + 3*b + 15. Let x be g(-3). What is the second derivative of -23*z**5 + 2*z - x*z - 8*z + 2*z wrt z?
-460*z**3
What is the third derivative of -133*o**4 + 133*o**4 - 568*o**2 + 418*o**6 + 70*o**2 wrt o?
50160*o**3
Let c(y) be the third derivative of 0*y**6 - 13*y**2 + 0*y + 0*y**4 + 7/6*y**3 + 1/35*y**7 + 0*y**5 + 0. What is the derivative of c(j) wrt j?
24*j**3
Let a(i) = i**4 + i**3 + i**2 + i + 1. Let n(f) = 16*f**4 - 6*f**3 - 6*f**2 - 6*f + 108. Let k(r) = 6*a(r) + n(r). What is the first derivative of k(h) wrt h?
88*h**3
Let t = -51 + 58. Differentiate -t - 32*d + 63*d - 29*d wrt d.
2
Suppose 3*s + 3 = 0, 3*v + 0*s + 2*s = 7. Find the second derivative of -19*r**v - 19*r - 5*r**3 + 12*r wrt r.
-144*r
Let u be -1*-1*(-1 + 3). Suppose 4*p - d - 13 = 0, u*d = 4*p - 3 - 11. What is the third derivative of -3*o**3 + 2*o**4 + 3*o**p + 3*o**2 wrt o?
48*o
Let u(q) be the third derivative of -13*q**4/12 + 164*q**3/3 + 268*q**2. What is the derivative of u(g) wrt g?
-26
Let f be 1/(-4) - (-468)/16. What is the first derivative of -6*z - 17*z + f*z + 4 wrt z?
6
Let r(x) be the second derivative of -10*x + 9/2*x**2 + 0*x**3 + 0 - 3/20*x**5 + 0*x**4. Differentiate r(u) with respect to u.
-9*u**2
Let r(y) be the first derivative of 107*y**4/4 + 9*y**2/2 - y - 113. What is the second derivative of r(a) wrt a?
642*a
Let b(w) be the second derivative of -4*w**3/3 - 83*w**2/2 - 93*w. What is the first derivative of b(c) wrt c?
-8
Let x = -8 + 13. Suppose -4*n = 3*v - 0*n + 16, x*n + 20 = -3*v. What is the third derivative of 3*o**4 + v*o**4 - 5*o**2 - 4*o**4 wrt o?
-24*o
Let r(b) = 564*b**2 + 22*b - 540. Let x(t) = 282*t**2 + 12*t - 269. Let c(m) = 6*r(m) - 11*x(m). What is the derivative of c(w) wrt w?
564*w
Let n(z) be the second derivative of -71*z**3/2 + 43*z**2 + 257*z. What is the derivative of n(r) wrt r?
-213
What is the derivative of 18 + 57 - 5*k**2 - 10 - 6*k**2 wrt k?
-22*k
What is the third derivative of -89*y**2 - 2423*y**6 + 2304*y**6 + 174*y**2 + 195*y**2 wrt y?
-14280*y**3
Let c(v) = 84*v**2 - 131*v + 5. Let b(j) = -42*j**2 + 66*j - 3. Let z(u) = -5*b(u) - 3*c(u). What is the second derivative of z(r) wrt r?
-84
Let s = -33 + 54. What is the second derivative of -22 + 10 + s*q + 12 + 7*q**2 wrt q?
14
Let w(o) be the first derivative of 0*o - 1/2*o**2 + 0*o**5 - 1/6*o**6 + 0*o**4 - 6 + 0*o**3. Find the second derivative of w(i) wrt i.
-20*i**3
Let t(p) = -63*p - 90. Let r(x) = -3*x + 1. Let j(z) = r(z) + t(z). Differentiate j(n) with respect to n.
-66
Let r(o) be the second derivative of 0*o**5 - 29*o + 0*o**3 - 4/21*o**7 + 0 + 0*o**2 - 13/6*o**4 + 0*o**6. Find the third derivative of r(f) wrt f.
-480*f**2
Let o(j) = -11*j - 30. Let b be o(-3). Let g(n) be the second derivative of -n + 5/6*n**b + 1/12*n**4 + 0 + 0*n**2. What is the second derivative of g(i) wrt i?
2
Find the second derivative of 106*p**2 - 30*p**2 + 2*p - 22*p**2 + p**3 - 40*p**2 wrt p.
6*p + 28
Let b(m) = 5*m**3 + 18*m**2 + 3*m + 70. Let s(j) = 4*j**3 + 17*j**2 + 2*j + 69. Let p(t) = -2*b(t) + 3*s(t). Differentiate p(x) with respect to x.
6*x**2 + 30*x
Let r(s) be the second derivative of s + 0*s**2 + 0*s**6 + 0*s**4 + 1/20*s**5 + 35/6*s**3 + 5/7*s**7 - 24. What is the second derivative of r(p) wrt p?
600*p**3 + 6*p
Suppose 0 = -2*c + 3*n + 987, 0*c - 3*c + 1513 = 2*n. Find the second derivative of -501*x**3 + 6*x**4 - 2*x + c*x**3 wrt x.
72*x**2
Let s(u) = -372*u**2 - 333*u + 6. Let q(i) = -374*i**2 - 334*i + 9. Let h(t) = -2*q(t) + 3*s(t). What is the second derivative of h(o) wrt o?
-736
Let v(d) = d**2 - 4*d + 9. Let u be v(6). Let k = -11 + u. Differentiate -4 + 4*x**3 + 2*x**3 - k*x**3 wrt x.
-12*x**2
Let x(w) be the first derivative of 9*w**5/5 - 7*w**4/2 + 2*w**3/3 - 52*w**2 - 196. Find the third derivative of x(u) wrt u.
216*u - 84
Let q(z) be the second derivative of 0*z**3 + 37/12*z**4 + 0 - 25*z + 0*z**2 - 3/5*z**6 + 0*z**5. What is the third derivative of q(n) wrt n?
-432*n
What is the third derivative of 707*c**6 + 410*c**2 + 53*c - 53*c + 5 - 5 wrt c?
84840*c**3
Let v(h) = -h - 1. Let n(j) = j**2 - 4*j - 11. Let a be n(6). Let s(k) = 24*k + 22. Let i(y) = a*s(y) - 2*v(y). Differentiate i(w) with respect to w.
26
Let b(j) = 2*j**2 - 5*j - 3. Let d be b(-2). Differentiate -11*c**2 - d*c**2 - 30 - 5*c**2 wrt c.
-62*c
Let p = -4 - -7. Suppose i + 6 = p*i. What is the second derivative of 44 - 44 - 6*f + f**3 - 2*f**i wrt f?
-6*f
Let x = 8 - 9. Let g = x + 5. What is the first derivative of -4*c**2 + 1 + 2 + 4*c**2 + 5*c**g wrt c?
20*c**3
Let j = -66 + 69. Find the third derivative of -5*b**6 - 8*b**6 - 5*b**6 - 17*b**2 - j*b**2 wrt b.
-2160*b**3
Let w(f) = 2*f + 7. Let c be w(-2). Differentiate -n**3 + 19 + c*n**3 - 10 - 14 wrt n.
6*n**2
Let x(p) be the second derivative of p**6/15 + 33*p**5/4 + 11*p**3 + 2*p**2 + p + 266. What is the second derivative of x(m) wrt m?
24*m**2 + 990*m
Suppose -3*y - u - 3 = -4*u, -2*y + 19 = 5*u. What is the second derivative of 25*w**y - 5*w + 10*w + 10*w wrt w?
50
Let v(z) be the first derivative of -87*z**6 - 32*z**3 + 356. What is the third derivative of v(x) wrt x?
-31320*x**2
Suppose -4*v = a - 3*v + 2, v = 3*a - 10. What is the third derivative of -5*m**2 + 8*m**a - 10*m**5 - 4*m**5 wrt m?
-840*m**2
Let n(a) = -132*a + 298. Let x(o) = -397*o + 892. Let d(w) = -11*n(w) + 4*x(w). Find the first derivative of d(l) wrt l.
-136
Suppose -2*l + 4 = -0. Find the third derivative of 3*r**5 - 5*r**2 + 2*r**5 + 6*r**l - 11*r**2 wrt r.
300*r**2
Let r(o) be the second derivative of -19*o**8/56 - o**7/14 - 155*o**4/12 - o**3/3 + 85*o + 2. Find the third derivative of r(z) wrt z.
-2280*z**3 - 180*z**2
Let b = -4 + 24. Suppose -b = -c - 4*c. Find the third derivative of -2*g**2 - 4*g**4 - g**2 + 8*g**c wrt g.
96*g
Let a(g) be the first derivative of -85*g**4/4 + 119*g**3/3 + 440. Find the third derivative of a(o) wrt o.
-510
Find the second derivative of -48*b**2 + 72*b - 23*b**2 - 2*b - 11*b**2 wrt b.
-164
Let v(o) = -36*o**2 + 67*o - 3. Let r(b) = 37*b**2 - 68*b + 4. Let s(t) = -3*r(t) - 4*v(t). What is the second derivative of s(m) wrt m?
66
Let u(q) = 15*q**3 + 5*q**2 - 21*q - 10. Let l(k) = -22*k**3 - 8*k**2 + 31*k + 16. Let f(i) = 5*l(i) + 8*u(i). What is the second derivative of f(z) wrt z?
60*z
Let a(k) = -162*k**2 + 219*k + 4. Let z(l) = 323*l**2 - 434*l - 9. Let b(y) = -9*a(y) - 4*z(y). What is the second derivative of b(d) wrt d?
332
Let v(b) be the first derivative of 19*b**4/24 - b**3 + 10*b**2 + 21. Let r(p) be the second derivative of v(p). What is the first derivative of r(n) wrt n?
19
Let i(y) be the second derivative of -y**7/21 - 199*y**6/15 + 53*y**4/12 + 7*y**2/2 + 38*y - 7. Find the third derivative of i(x) wrt x.
-120*x**2 - 9552*x
Suppose -3*l - l - 24 = 0. Let r be 1 - l/(4 - 2). What is the derivative of -38 - r*m**4 + 43 + m**4 wrt m?
-12*m**3
Let f = -18 - -18. Suppose f = -4*m + 5*c - 21, 3*c - 4*c = -5*m. Find the first derivative of -5 - m + 3 - 8*h**4 - 2 wrt h.
-32*h**3
Let g(u) be the first derivative of 191*u**4/4 + 110*u**3/3 - 150. Find the third derivative of g(c) wrt c.
1146
Let x(d) be the first derivative of -505*d**6/6 + 437*d**3/3 - 466. What is the third derivative of x(l) wrt l?
-30300*l**2
Let t(z) = -4*z + 2. Let l(c) = -5*c + 5. Let x(s) = -6*s + 6. Let f(k) = 5*l(k) - 4*x(k). Let w(m) = -2*f(m) - t(m). Differentiate w(v) with respect to v.
6
Find the first derivative of 90*f**4 + 752*f**2 - 752*f**2 - 87 wrt f.
360*f**3
Suppose 3*m = -4*n + 29, n - 20 = 4*m - 9*m. Suppose 5 = v - n. Find the third derivative of -2*f**3 + 2*f**3 - v*f**4 + 16*f**2 - 21*f**2 wrt f.
-240*f
Let f(g) = g**3 - 2*g + 1. Let x(y) = 2*y**4 + 6*y**
|
{
"pile_set_name": "DM Mathematics"
}
|
-42*a**5 + 6*a**4
Expand (8 - 1 + 2)*((-2*y + 5*y - y)*(-3 + 2 + 2) - 3*y - 1 + 1)*(-51 - 95 - 11).
1413*y
Expand 0*a**2 - 2*a**2 + 0*a**2 + (-8224 + 8224 + 98*a)*(192 + 7*a - 192).
684*a**2
Expand -c**4 - 3*c**4 + 5*c**4 + (0*c**2 + c**2 + c**2)*(-26*c**2 - 22*c + 7*c + 17*c).
-51*c**4 + 4*c**3
Expand (-q**3 + 2*q**3 - 3*q**3 - 2*q**4)*(4520*q - 4739*q + 2 - 2).
438*q**5 + 438*q**4
Expand (4 - 3 + 1)*(-2*l - 2*l + 5*l)*(-5*l**3 + l**3 + 3*l**3 + (0*l - l + 3*l)*(2605*l - 2605*l + 53*l**2) + 3*l**3 - l**3 - 4*l**3).
206*l**4
Expand (1 - o - 1)*(2 - 2 + 2*o) + (-71*o**2 + 7*o**2 - 6*o**2)*(-88 - 85 + 131).
2938*o**2
Expand (-3 - 3*s + 3)*(-1 + 1 - 2*s) - 2 + 8*s**2 + 2 - 10*s + 10*s + 2*s**2.
16*s**2
Expand -3*z**5 - 10*z - 2*z**3 + 10*z + 3*z**5 + 3*z**5 - 4*z**5 + (3*z**2 + 0*z**2 - 2*z**2)*(-18*z**3 - 224*z**3 - 73*z**3).
-316*z**5 - 2*z**3
Expand (2*s - 2*s**2 - 2*s)*(2*s + 0*s - 5982*s**3 + 6633*s**3).
-1302*s**5 - 4*s**3
Expand (-11332 + 11337 + 146*o - 825*o)*(o**2 - o**2 + o**3).
-679*o**4 + 5*o**3
Expand (56 - 89*v - 56)*(18*v + 24*v + 4*v).
-4094*v**2
Expand -250*m**2 - 23*m**3 + 250*m**2 - m**3 + 0*m**3 - 2*m**3 + (-2*m**2 + 2*m**2 - 2*m**2)*(m + 0 + 3 + 7).
-28*m**3 - 20*m**2
Expand (4*s**4 + 3*s**4 - 3*s**4 + (-3*s + 8*s + 9*s)*(2*s**3 + 0*s**3 - s**3))*(-s + 9*s - 4 - 19*s).
-198*s**5 - 72*s**4
Expand (12*l - 1 + 7*l + 0*l)*(-3 + 0 + 2)*(-2*l + 1 - 1) + (3*l + 3*l - 3*l)*(0*l - 3*l + l) - 17*l**2 + 8*l**2 - 17*l**2.
6*l**2 - 2*l
Expand (2*q + 1 - 1)*(-1 - 1 + 1) - 3594 + 7189 - 3594 + 922*q.
920*q + 1
Expand 2*h**5 + 23*h**5 + 26*h**5 + (h**3 + 3*h**3 - 2*h**3)*(-2 + 2 - 2*h**2) + (0*h**3 - h**3 + 0*h**3)*(3*h**2 - 4 + 4).
44*h**5
Expand (n - n - 2*n**2)*(-2 + 19 + 2 + (-3 + 1 + 1)*(0 - 1 + 3) - 1 + 1 + 1)*(-4 + 4 + 1 + (-1 - 3 + 2)*(6 + 3 - 5) - 2 + 3 + 0).
216*n**2
Expand (2 + 21*m - 3*m - 2)*(m**4 + 251*m**4 - 46*m**4).
3708*m**5
Expand (-k**4 + 2*k**4 - 3*k**4)*(-k + 2*k + 2*k) - 7639*k**5 + 15334*k**5 - 7556*k**5 + 13*k**4.
133*k**5 + 13*k**4
Expand (2*c**2 - 14*c + 14*c)*(-9 + 12 + 6 + (-4 + 3 + 0)*(1 + 1 + 1))*(-c**2 + 2*c**2 + 0*c**2).
12*c**4
Expand (-1 - 3*h**2 + 1)*(1 + 16118*h**3 - 15954*h**3 - 3).
-492*h**5 + 6*h**2
Expand -59*v**2 + 59*v**2 - 32*v**4 + (2*v**2 + 3*v**2 - 6*v**2)*(-1 + 1 - 2*v**2) + 0*v - v**4 + 0*v + 10*v**4 - 19*v**4 + 7*v**4.
-33*v**4
Expand 5*m**2 - 5*m**2 + 2*m**3 + ((-2*m**2 + 2*m**2 - 2*m**2)*(7*m + 0*m + 9*m) - 44 + 2*m**3 + 44)*(-1 + 3 - 4).
62*m**3
Expand 165 - 165 - 5*z + (-4*z + 2*z + 0*z)*(2 + 0 - 1) + 5*z + 6*z - 5*z - 19*z + 40*z + 6*z.
26*z
Expand ((1 - 1 - 1)*(r - 2 + 2) + r - 5*r + 2*r + 0*r - 12*r - r)*(-2*r + 0 + 0 - 2*r + 2*r - r + (-6*r - r + 5*r)*(-2 + 0 + 3)).
80*r**2
Expand (6*d - 6*d + d + d - 5*d + 2*d + (0 + 2 - 1)*(3*d - d - 3*d))*(-1 + 11 + 23).
-66*d
Expand (15*j + 68*j + 981 - 979)*(-192 + 167*j + 192 - 2*j**2).
-166*j**3 + 13857*j**2 + 334*j
Expand (-49*o**2 - 23127 + 23127)*(-16 + 28 + 5*o**2 - 13).
-245*o**4 + 49*o**2
Expand (5 - 7 - 5)*(-7 - 8 + 5)*(0*h**3 + 2*h**3 - 4*h**3)*(1 - 4 + 1).
280*h**3
Expand 2*g + 8*g**2 + 4*g**2 - 1 - 13*g**2 + ((3 + 0 - 5)*(2*g - 6*g + g) - 4*g + g + 17*g)*(-4*g + 3*g + 8*g).
139*g**2 + 2*g - 1
Expand (-q**3 + 7*q + 3 - 7*q)*(-5 + 3 + 1)*(-105*q + 699465 - 699465).
-105*q**4 + 315*q
Expand (0 - 1 + 4)*(45*c - 2 + 6 - 3)*(-1 + 0 - 1)*(1 + 2*c - 1).
-540*c**2 - 12*c
Expand 31 - 31 - 7*g**4 - g + (-4*g**3 + 6*g**3 + 2*g**3)*(2*g + 4 - 4) - 4*g**4 + 5*g**4 - 4*g**4 + (-g + 1 - 1)*(-2*g**3 + 5*g**3 - 4*g**3).
-g**4 - g
Expand (-12 + 4*k + 12)*(-32 - 17 + 221).
688*k
Expand (4*i - 3*i + i)*(-5*i + 5*i + i) + 1 - 1 + 2*i**2 + 10*i**2 - 28*i**2 - 4*i**2 + 196*i - 196*i - 12*i**2.
-30*i**2
Expand (-35*x - 26*x + 4*x)*(0*x + 4*x - 5*x)*(4*x**3 + 4*x - 4*x).
228*x**5
Expand (-10*g - 32*g + 5*g + (4*g - 2*g - 4*g)*(1 + 4 - 4))*(4*g + 0 + 0)*(7*g - 6*g - 2*g - g**2).
156*g**4 + 156*g**3
Expand (-385*p - 289*p - 3 + 1)*(12*p - 26 + 26).
-8088*p**2 - 24*p
Expand (0 - 2 + 3)*(-2 + 2 - s) + (-2 - 3 + 0)*(52 + 0*s - 62 - s).
4*s + 50
Expand (24239*m - 3187*m**2 - 24239*m)*(-2*m**2 - 3 + 3 - 2*m).
6374*m**4 + 6374*m**3
Expand (816*m + 3596*m + 1471*m)*(2*m**2 - 4*m**2 - m**2).
-17649*m**3
Expand 50*n**4 - 18*n**3 + 18*n**3 + (-2*n + 2*n - n)*(-3*n**3 + 3*n**3 + n**3) + 9*n**4 + 5*n**4 + 2*n**4.
65*n**4
Expand (2 + 3*r**2 - 2)*(0 + 0 + 1)*(-1 + 3 - 3)*((-22 - 18 - 8)*(-2 + 3 + 0) + 2 + 1 - 1)*(-3 + 3 - 2*r).
-276*r**3
Expand (2*k**2 - 2*k + 2*k)*(513972 - 1027087 + 514691 + 6*k).
12*k**3 + 3152*k**2
Expand (2*v - 3 + 3)*(3*v - 18*v + 12*v - 33*v**2 + 6).
-66*v**3 - 6*v**2 + 12*v
Expand (-32 - 16*d + 32)*(-11 - 401*d + 14 - 3).
6416*d**2
Expand (-4*j**2 + 3*j**2 + 2*j**2)*(-3154 - 23241 - 12463 + 5436 - 18802 - 12032).
-64256*j**2
Expand (0*l**2 + 2*l**2 - 4*l**2)*(-l**2 + 0*l + 0*l) + 623*l**4 + 31148*l**2 - 31148*l**2.
625*l**4
Expand (-z - 4*z + 4*z)*(11 - 5 + 12) - 5*z - 20*z - 18*z - 2*z + z + 0*z.
-62*z
Expand (379 - 1902 - 4768 - 3358 - 991)*(-4*s**5 + 3*s**5 + 0*s**5).
10640*s**5
Expand (129 + 52 + 167 - 73)*(21*s**2 - 14*s**2 + 11*s**2)*((2*s + s - s)*(1 + 0 + 0) + 6*s + 4*s - 4*s).
39600*s**3
Expand (2 - 2 + h)*(-h**3 + 2*h**3 - 2*h**3) + (-3 - 3 + 4)*(h**4 + 2 - 2) - 13*h**4 - 41*h**4 + 12*h**4 - 3*h**3 + 3*h**3 + h**4.
-44*h**4
Expand (0*s**2 - s**2 - s**2)*(-127*s**2 + 460*s**2 + 202*s**2)*(-17*s + s + 0*s).
17120*s**5
Expand b**3 - b**2 + b**2 + (-4*b + 2*b + 3*b)*(-21*b + 21*b + 36*b**2) - 9 + 5*b**3 + 3*b**3 - 9*b**3 + 3*b**3 + 3*b - 4*b + 0*b**3.
39*b**3 - b - 9
Expand (177*t - 178*t - 40 - 10 - 5)*(25*t**4 - 205*t**4 - 42*t**4).
222*t**5 + 12210*t**4
Expand (-6 - 1 - 10)*(-2*d + d + 0*d)*(-8957 + 8957 + 874*d + (-4 - 1 + 6)*(4 - 4 - 2*d) + (-4*d + d + 5*d)*(-1 + 1 - 1)).
14790*d**2
Expand -460*a**4 + 2*a**2 + 158*a**4 + 171*a**4 + (-2*a**3 + 2*a - 2*a)*(3*a + a - 3*a) - 2*a**4 + 4*a - 4*a - 2*a**2 - a**4 + 2*a**2 + 0*a**4 - a**4 - 2*a**4.
-139*a**4 + 2*a**2
Expand 30520*y**2 + y - y**4 - 30520*y**2 - 27*y**3 + (-5 - 3 + 0)*(2 - 2 - y**4).
7*y**4 - 27*y**3 + y
Expand (6 + 142 - 37*x**2 - 22*x**2 + 36473972*x - 36473972*x)*(-2*x**2 + 4*x**2 - 3*x**2).
59*x**4 - 148*x**2
Expand (2 - 4 + 3)*(-426*m - 134*m - 377*m)*(-2 - 3 + 6)*(-2*m + 2*m - m).
937*m**2
Expand (2*a + 4*a - a)*(-7 + 4 + 0) + (-4*a - 3*a + a)*(0 + 3 - 4).
-9*a
Expand (-4*g**5 - g**5 + 4*g**5)*(3 - 3 + 11) - 61*g + 4*g**3 + 59*g + 10*g**5 - 5*g**5.
-6*g**5 + 4*g**3 - 2*g
Expand (6*x**2 + 54*x**2 - 17*x**2)*(3*x**2 + 2*x**2 - 3*x**2) - 8*x**4 - 3*x + 3*x.
78*x**4
Expand (o - o + 21*o**2)*(3*o**3 - 501 + 253 + 244 - 2*o**2).
63*o**5 - 42*o**4 - 84*o**2
Expand (-3*h + 0*h + 5*h)*(368*h + 395*h - 142*h)*(-h**3 - h**2 + h**2).
-1242*h**5
Expand (4*z**2 + 4*z**2 - 4*z**2)*(-z**3 + 4*z**3 - 5*z**3 + (-1 + 29 - 1)*(17 - 17 - 5*z**3)).
-548*z**5
Expand ((-2 + 5 - 1)*(-2 - y + 2) + 0*y + y - 2*y - 5 + 5 - 3*y)*(-4635*y - 4106*y + 9714*y).
-5838*y**2
Expand (-1 + k + 1)*(-112*k + 204*k - 1263*k) + (-1 + 1 + k)*(k + k + 0*k).
-1169*k**2
Expand (-2008*w**2 + 2008*w**2 - 294*w**4)*(0 - 4 + 0 + (-3 + 5 - 4)*(-4 + 4 - 2) - 3 + 2 + 0).
294*w**4
Expand (755 - 2839 - 953)*(0*p**2 - p**2 + 2*p**2) + (3*p + 4*p - 5*p)*(p - 1 + 1).
-3035*p**2
Expand (-w**4 - 3*w**4 - w**4)*(0*w + 8*w - 4*w + 2*w - 1 + 1 + (1 + 0 - 2)*(2*w - w + w) + w + 0*w + 0*w).
-25*w**5
Expand 8*j**4 + 33*j**2 - 33*j**2 + (-2*j**2 + j**2 + 0*j**2)*(-j - 2*j**2 + j) + 7*j**2 - 3*j**4 - 7*j**2 + (4*j**2 + j**2 - 3*j**2)*(20 - 13 - 8 + j**2).
9*j**4 - 2*j**2
Expand (-2*h + h - 8*h)*(-h**4 - h + h) + 219*h**5 + 186*h**5 - 462*h**5.
-48*h**5
Expand (690 + 18 + 41 + 362)*(7 - 3 - 3)*(4*d**4 + 2*d**4 + 5*d**4).
12221*d**4
Expand (-2*m**2 - m**2 + 5*m**2)*(-166*m**3 + 51*m**3 - 20*m**3) - 4*m**5 + 3*m**5 + 3*m**3 + 2*m**3.
-271*m**5 + 5*m**3
Expand (-34340*l**2 - 33498*l**2 + 70573*l**2)*(-5 + 5 + l)*(-3 + 0 - 2).
-13675*l**3
Expand (-4*w**4 + 4*w**4 + 3*w**5)*(1 + 0 + 4) - 24*w**5 - 184*w**5 - 47*w**5 - w**5 + 4*w**5 - 4*w**5.
-241*w**5
Expand (2 + 2*h - 2)*(3*h + 6 - 6) - 164 + 51 + 1025*h**2 + 114 + (-3 + 3 + h)*(h - 2*h + 2*h).
1032*h**2 + 1
Expand (0 + 0 - 2)*(-3 + 1 + 0)*(-1 - 2 + 1)*(132*r - 73*r + 74*r)*(5 + 7 - 6).
-6384*r
Expand u**4 + 0*u + 0*u + (35*u + 249*u + 242*u)*(3*u**2 + 4*u**3 - 3*u**2).
2105*u**4
Expand (-4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*c - 455 - c + 3*c**3.
3*c**3 + 3*c + 1120
Collect the terms in 86*n**2 + 285*n**3 - 86*n**2.
285*n**3
Collect the terms in -265*j**2 - 260*j**2 + 1041*j**2 - 248*j**2 - 265*j**2.
3*j**2
Collect the terms in 28 - 3*o**3 - 60 + 4*o**3 + 3*o**3.
4*o**3 - 32
Collect the terms in -1255 + 139*z**2 + 2501 - 1246 - 135*z**2.
4*z**2
Collect the terms in -2 + 2*a + 1178*a**2 - 2*a + 1181*a**2 - 2356*a**2.
3*a**2 - 2
Collect the terms in -807*p**3 - 608*p**3 + 688*p**3.
-727*p**3
Collect the terms in -6*k**3 - 4519380024 + 4519380024.
-6*k**3
Collect the terms in -41488 + 41488 + 6*f.
6*f
Collect the terms in -26*u**2 + 364*u**2 - 2135*u**2.
-1797*u**2
Collect the terms in 31054729716*w - 31054729716*w + w**2.
w**2
Collect the terms in -28 + 43 - 15 + 244*a**3.
244*a**3
Collect the terms in -23*d**3 + 169*d**3 + 3*d + 0*d - 3*d.
146*d**3
Collect the terms in -12 + 2 + h + 0 + 23*h.
24*h - 10
Collect the terms in 327*c**3 + 28*c**3 - 17*c**3 + 135*c**3.
473*c**3
Collect the terms in 143*y**3 + 58*y**3 + 499*y**3.
700*y**3
Collect the terms in 401 - 800 + 399 - 320*p**3.
-320*p**3
Collect the terms in -893*f**2 + 5791*f + 3*f**3 - 5791*f.
3*f**3 - 893*f**2
Collect the terms in 9694*o**2 + 23697*o**2 + 1712*o**2.
35103*o**2
Collect the terms in 18050 - 3*h - 36336 + 18286.
-3*h
Collect the terms in -2980*y**2 - 446*y + 446*y.
-2980*y**2
Collect the terms in 174*b**2 + 70*b**2 - 7*b**3 - 38*b**2 + 5*b**3.
-2*b**3 + 206*b**2
Collect the terms in -20*y**2 - 109*y**2 + 11 - 6 - 5.
-129*y**2
Collect the terms in 3*a**2 - 1 + 60*a + 16*a - 10*a**2.
-7*a**2 + 76*a - 1
Collect the terms in 0*y**3 - 13*y**3 - 10*y**3 - 24*y**3 + 4*y**3.
-43*y**3
Collect the terms in -10*v + 8*v - 13*v + 15*v - 103*v**2.
-103*v**2
Collect the terms in 31134 + r + 45217 + 8737.
r + 85088
Collect the terms in 1450*d**3 - 732*d**3 - 717*d**3.
d**3
Collect the terms in -11*t**2 - 333 + 707 - 374.
-11*t**2
Collect the terms in 1845*p**2 + 36*p - 36*p - 116*p**2.
1729*p**2
Collect the terms in 22181*q - 10995*q - 11015*q.
171*q
Collect the terms in 4*o**2 - 1827067746 + 1827067746.
4*o**2
Collect the terms in 1611*y - 56 + 56.
1611*y
Collect the terms in 1282*c**3 - 6*c + 11 - 11 + 6*c.
1282*c**3
Collect the terms in -22 - 14 - 26*l**2 + 36.
-26*l**2
Collect the terms in 3*y**2 - 819114 - 819113 + 1638227.
3*y**2
Collect the terms in 28*k**3 + 440*k**3 - 1 + 1 + 104*k**3.
572*k**3
Collect the terms in 22*l - 12*l + 2*l + 4*l - 1 - 5*l.
11*l - 1
Collect the terms in -793*z**3 + 225*z**3 - 3297*z**3.
-3865*z**3
Collect the terms in -120*q**3 + q**2 + 80*q**3 + 78*q - 78*q.
-40*q**3 + q**2
Collect the terms in -32*g - 24*g + 83*g.
27*g
Collect the terms in 396267684 - b**3 - 396267684.
-b**3
Collect the terms in 17448*h**2 - 8723*h**2 - 8728*h**2.
-3*h**2
Collect the terms in 5*m - 19*m + 9*m + 2*m + 9*m.
6*m
Collect the terms in 1260*y**2 + 1238*y**2 - 2509*y**2.
-11*y**2
Collect the terms in 1087366*k**2 - 2174719*k**2 + 1087363*k**2.
10*k**2
Collect the terms in -4109*x**3 + 3225 - 3225.
-4109*x**3
Collect the terms in -66 - 634*y + 127 - 61.
-634*y
Collect the terms in 301*m - 85*m - 74*m - 73*m - 79*m.
-10*m
Collect the terms in -743*d - 507*d - 180*d - 82*d.
-1512*d
Collect the terms in -2865 - 2*h - h**2 + 2*h - 4133.
-h**2 - 6998
Collect the terms in -2691*u + 922*u + 930*u + 850*u.
11*u
Collect the terms in 1191*s**3 - 2232*s**3 + 1146*s**3.
105*s**3
Collect the terms in -3307 + 9941 - 3318 - 3310 - 39*b.
-39*b + 6
Collect the terms in 40*o**3 + 111*o**3 + 28*o - 32*o.
151*o**3 - 4*o
Collect the terms in 0*h**3 - 369*h**2 + 165*h**2 - 2*h**3 + 204*h**2 + 3*h**3.
h**3
Collect the terms in 57*r + 266*r**2 - 138*r**2 - 136*r**2 - 57*r.
-8*r**2
Collect the terms in -f**3 + 224*f**2 + 223*f**2 - 676*f**2 + 229*f**2.
-f**3
Collect the terms in -219*j**3 + 22*j**3 - 51*j**3.
-248*j**3
Collect the terms in -19655 + 19655 + 1615*h**2.
1615*h**2
Collect the terms in 42*w**3 - 339*w**3 - 146*w**3 + 42*w**3 - 175*w**3.
-576*w**3
Collect the terms in -12*v + 0 + 42*v + 2 + 2*v.
32*v + 2
Collect the terms in 324*n - 324*n + 83*n**3 + 7*n**2 - 7*n**2.
83*n**3
Collect the terms in 603 + 570 + 569 + o - 1741.
o + 1
Collect the terms in -6197*n**2 - 6394*n**2 + 12587*n**2.
-4*n**2
Collect the terms in -65*g**3 + 24*g**3 + 17*g**3 + 22*g**3.
-2*g**3
Collect the terms in -4*y + 20*y - 7*y - 4*y + 8*y.
13*y
Collect the terms in 17*p - 7*p + 12 + 4*p**2 - 5*p - 2*p - 4*p.
4*p**2 - p + 12
Collect the terms in -248*p**3 - 6 - 4791*p + 4791*p.
-248*p**3 - 6
Collect the terms in -5694 + 5694 + 3*s**2.
3*s**2
Collect the terms in -1018872*r - 1018864*r + 3056596*r - 1018864*r.
-4*r
Collect the terms in 5*f**2 - 1519424 + 1519424 - f**2.
4*f**2
Collect the terms in -8051 - 8*g**3 + 22*g**3 + 8051.
14*g**3
Collect the terms in 123*t**2 + 7195 - 5*t - 7195 - 2*t**3.
-2*t**3 + 123*t**2 - 5*t
Collect the terms in -19075 - 2*a**2 + 19075 + a**2.
-a**2
Collect the terms in 11*h + 11*h + 167*h**3 - 201*h**3 - 22*h.
-34*h**3
Collect the terms in 5818 - 5811 - 6*r**2 - 3*r**2.
-9*r**2 + 7
Collect the terms in -491*o**3 + 253*o**3 - 520*o + 282*o**3 + 520*o.
44*o**3
Collect the terms in 2*h + 40*h - 49*h.
-7*h
Collect the terms in -47*w**2 - 761*w + 113*w**2 + 182*w**2 + 761*w.
248*w**2
Collect the terms in 98*u - 2*u**2 - 20*u**2 - 14 + 16 - 26*u.
-22*u**2 + 72*u + 2
Collect the terms in 390560*u**2 - 3*u + 3*u - 390578*u**2.
-18*u**2
Collect the terms in 29*o + 43*o + 38*o + 35*o - 70*o.
75*o
Collect the terms in -430347*z + 4*z**2 + 6*z**2 + 430347*z + 8*z**2.
18*z**2
Collect the terms in -34*a**2 - 44*a**2 - 32*a**2 + 162*a**2 - 29*a**2.
23*a**2
Collect the terms in 5*p - 39 - 30 - 39 + 121 - 13.
5*p
Collect the terms in 7*c**2 - 477 + 354 + 123.
7*c**2
Collect the terms in 408 - 132 - 137 - 138 + 15*g.
15*g + 1
Collect the terms in -124*s + 124*s + 40718*s**3.
40718*s**3
Collect the terms in -6145842*b + 6145842*b - 10*b**2.
-10*b**2
Collect the terms in -27428*b + 13724*b + 13722*b.
18*b
Collect the terms in 4 - 752*h**3 - 4 + 747*h**3.
-5*h**3
Collect the terms in 64 + 25 + 4 + 7*f**2 - 32 + 42.
7*f**2 + 103
Collect the terms in d**2 - 9 + 2 + 6*d + 4.
d**2 + 6*d - 3
Collect the terms in 2 + 4*x + 3*x + 0*x - 5*x + 3*x.
5*x + 2
Collect the terms in 7069078907 + 3*m - 7069078907.
3*m
Collect the terms in 30 - 42*y + 0*y**2 - 24 + y**2.
y**2 - 42*y + 6
Collect the terms in 257*c**3 - 370*c**3 + 106*c**3.
-7*c**3
Collect the terms in 3*i**3 - i + i - 16185 + 16185.
3*i**3
Collect the terms in -16*h**2 + 8*h**2 + 6*h**2 - 117*h.
-2*h**2 - 117*h
Collect the terms in 876*v**3 - 292*v**3 - 292*v**3 - 50*v - 293*v**3.
-v**3 - 50*v
Collect the terms in 377*l**2 + 26*l**3 - 377*l**2 + 25*l**3 - 2.
51*l**3 - 2
Collect the terms in -t**2 - 4*t + 4*t - 3*t + 0*t - 2*t.
-t**2 - 5*t
Collect the terms in 52 + 54 + 30 - 3*o + 419.
-3*o + 555
Collect the terms in 0 - 34*i**2 + 241*i**2 + 0.
207*i**2
Collect the terms in -26051*r**3 + 13088*r**3 + 13023*r**3.
60*r**3
Collect the terms in 1902844*v - 951476*v - 951365*v.
3*v
Collect the terms in 87*b - 231*b + 76*b - 5 + 82*b.
14*b - 5
Collect the terms in 2719*i - 22711*i - 36400*i + 1.
-56392*i + 1
Collect the terms in -38 + 43*r - 29 - 35 - 34 + 120.
43*r - 16
Collect the terms in 326757*v - 163335*v - 163422*v - v**3.
-v**3
Collect the terms in -2*h**2 + 0*h**2 - 50*h**3 + h**2 + 3*h**2.
-50*h**3 + 2*h**2
Collect the terms in 11*y**3 - 176*y**3 + 160*y**3 + 6*y**3.
y**3
Collect the terms in 4*h**2 + h**2 + 90 + 47 - 137.
5*h**2
Collect the terms in 798*l**3 - 219*l + 219*l.
798*l**3
Collect the terms in 37 - 93 + 26 - 3*x + 30.
-3*x
Collect the terms in 55*o - 65*o + 24*o.
14*o
Collect the terms in 66*l + 77*l + 24*l.
167*l
Collect the terms in 10743*k**2 - 5279*k**2 - 5423*k**2 - 1.
41*k**2 - 1
Collect the terms in 64*r**2 - 34 + 56 - 24 + 25*r**2.
89*r**2 - 2
Collect the terms in -78*m**2 - 101*m**2 + 503*m**2 - 104*m**2 - 107*m**2 - 97*m**2.
16*m**2
Collect the terms in 193*z**2 - 327*z**2 - 150*z**2 - 917*z**2.
-1201*z**2
Collect the terms in -1959*b - 6739*b - 4657*b.
-13355*b
Collect the terms in 17 + r**3 - 13 + 4 - 94*r**2 - 8.
r**3 - 94*r**2
Collect the terms in 540*w**2 - 274*w**2 - 279*w**2 - 10.
-13*w**2 - 10
Collect the terms in 318*y**2 - 311*y**3 + 315*y**
|
{
"pile_set_name": "DM Mathematics"
}
|
(n/((n*n/(n/((n*n*((n/((n/(n*n**4/n))/n))/n)/n)/n*n)))/n)))/(n**29/n**(-6)) assuming n is positive.
n**(-377/12)
Simplify (a*a**2)**35*(a**4)**18 assuming a is positive.
a**177
Simplify ((((n/n**(-2))/n)/n)**(-14/11))**(3/26) assuming n is positive.
n**(-21/143)
Simplify (((v*v**(-1)*v)**(-2/129))**(2/87))**35 assuming v is positive.
v**(-140/11223)
Simplify ((i*i**(5/4))/i*i*i**(-16)/i)/(((i*i/i**8*i*i)/i)/i)**(-46) assuming i is positive.
i**(-1163/4)
Simplify (y**(2/61)*y)/y*y**(-5/4)*y*y*y**(-1/13)*y**(-14) assuming y is positive.
y**(-42169/3172)
Simplify ((r**(1/2)*r)**(-2/5)*(r/(r**(-1/14)/r))/(r/(r/(r*r**(-8/5)))))**(-1/21) assuming r is positive.
r**(-29/294)
Simplify ((f/f**(-25))/((f*f/(f/((f**3*f)/f*f)))/f*f*f*f*f))/((f**5*f)/(f**24*f)) assuming f is positive.
f**37
Simplify ((h/(h/h**(-9)))**(-2/37))**17 assuming h is positive.
h**(306/37)
Simplify (q**(-5))**(-9)/(q**(-14)/(q**(-2)/q)) assuming q is positive.
q**56
Simplify (((y**3*y)/y)/(y**(-27)*y))/(y**(9/8))**(-3/2) assuming y is positive.
y**(491/16)
Simplify (((r**(-18)*r)/r**(-3/7))**26)**27 assuming r is positive.
r**(-81432/7)
Simplify i**(-13/2)/(i*i**(-34))*(i/(i*i**(-2)*i*i))/i**(-1/4) assuming i is positive.
i**(107/4)
Simplify ((u**12/((u*(u/(u*u/(u/((u/u**(1/7))/u))))/u*u)/u))**(9/2))**(-4/23) assuming u is positive.
u**(-1494/161)
Simplify ((g**(2/7))**(-30/13)/((g**(-1/7)/g)/(g*g*g/g**5*g)))**(-1/20) assuming g is positive.
g**(47/1820)
Simplify ((k*k/(k/(k**(6/11)/k)*k)*k)**(-2/93))**(-45) assuming k is positive.
k**(180/341)
Simplify (t/t**(-4/9))**(19/6)*(t**(1/9))**25 assuming t is positive.
t**(397/54)
Simplify b**(4/5)/(b*b/(b/(b**11/b*b)))*b*b**(-5/4)*b**(-3)/b assuming b is positive.
b**(-309/20)
Simplify (z*z**(-7))/(z*z/((z*z**9)/z))*z/(z/(z*z**(-1)))*z**(1/2) assuming z is positive.
z**(3/2)
Simplify (q/(q/(((q*q**(-1)/q)/q)/q)))/((q/(q**(-2/19)*q))/q)*(q/q**(-12))/q*q**(-7) assuming q is positive.
q**(55/19)
Simplify (w*(w*w**(-3/8)/w*w)/w)/w**12*(w/w**(-1/2))/((w**(2/17)*w)/w) assuming w is positive.
w**(-1359/136)
Simplify ((s**5*s)/(s**(-1/4)/s*s*s))/(s*s**12/s*s/s**(-6)*s) assuming s is positive.
s**(-59/4)
Simplify (((y/(y/((y**(1/3)*y)/y)*y))/y)**(-7/10)*(y**3)**40)**(2/97) assuming y is positive.
y**(727/291)
Simplify ((q*q/(q**(-5)*q)*q**(-2/17)*q)/((q*q**5)/(q/(q*q**(3/2)*q*q))))**(28/5) assuming q is positive.
q**(-1246/85)
Simplify (q**18/q*q**(-9))/(q/(q*q/(q*q**(-3/10)*q)))**(4/9) assuming q is positive.
q**(346/45)
Simplify (m**(-5/3)*m*m/(m*m**(-5)*m))/(m/(m*m*(m/(m*(m/((((m*m**1*m)/m)/m)/m))/m))/m*m))**(-6) assuming m is positive.
m**(-8/3)
Simplify a**(-4)*a/a**(-23)*((a/a**(-9))/a)**(-16) assuming a is positive.
a**(-124)
Simplify (((c/c**(-1))/c)**(1/80)/(c**0*c)**(-7))**(-13) assuming c is positive.
c**(-7293/80)
Simplify (p**(1/7)*p)**(-2/37)/((p/(p**(-3/2)*p))/p**(-6)) assuming p is positive.
p**(-3917/518)
Simplify (((a/((a/a**9)/a*a))/(a/(a**2/a)))**44)**(-3) assuming a is positive.
a**(-1188)
Simplify ((w**(-5)/(w/(w/(w*w**(-1/2)))))**(2/63))**16 assuming w is positive.
w**(-176/63)
Simplify m**16*m/(m**(-2/35)*m)*(m*m*m**24)/m*m/m**(11/7) assuming m is positive.
m**(1417/35)
Simplify ((w*w/((w/(w/(w**(-7)/w)))/w))/w*w*w*((w/((w*w**(-3)/w)/w))/w*w)/w*w/w**(2/13)*w/(w*(w/(w*(w**(2/7)*w)/w))/w))**(-9) assuming w is positive.
w**(-14850/91)
Simplify (((u/u**3)/u)/(u**(-3/7)*u)*(((u*u/(u/(u*u**(-8))))/u)/u)/((u**(-1/4)*u)/u*u))**(1/24) assuming u is positive.
u**(-115/224)
Simplify (s*(s**(-24)*s)/s*s*s*s**(-7/5))/(((s**(1/10)*s)/s)/(s**(3/5)*s)) assuming s is positive.
s**(-209/10)
Simplify (y**(-10/9)*y/y**(-32))**24 assuming y is positive.
y**(2296/3)
Simplify ((u/(u*u*u/(u**6*u)))/u*u/(((u*u**(4/5))/u)/u)*u*u**(3/4)/((u**(1/3)*u)/u))**(-9) assuming u is positive.
u**(-1191/20)
Simplify (p/(p*p*p**(-1)))**(-3/17)*p**0/(p**(-14)*p) assuming p is positive.
p**13
Simplify y**14*y*y*y**(2/7)*(y/y**(-16)*y)/(y/y**0) assuming y is positive.
y**(233/7)
Simplify (f**(-4))**40/(f*f**(-14)*f**(2/17)) assuming f is positive.
f**(-2501/17)
Simplify (m/m**0)**40*(m*m**(-4)*m*m*m*m)**(-44) assuming m is positive.
m**(-4)
Simplify (b**12/b**(2/5))/(b/(b*b**(-1/12))*b**(-11)*b) assuming b is positive.
b**(1291/60)
Simplify l**5/(l*l**6*l)*(l*(l*l*l**(-1/5))/l)/l*l**19 assuming l is positive.
l**(84/5)
Simplify ((m*(m/m**(-19))/m)/m**(-2/37))/(m**(-32)*m**(-24)) assuming m is positive.
m**(2814/37)
Simplify (i**(1/21)/(i*i*i*i*(i**(-1/13)*i*i)/i))/(i**(-2/19)*i*i**19*i) assuming i is positive.
i**(-133670/5187)
Simplify (v**(-2)*v)**(-9/2)*v**(1/10)*v*v**(-7)/v*v assuming v is positive.
v**(-7/5)
Simplify ((y*y**(4/5)*y)/y**(-3/11)*y**8/(y**(-7)/y*y))**(2/11) assuming y is positive.
y**(1988/605)
Simplify (b/(b/b**20*b)*b)/(b**(2/27)/b*b)*b**(-14)/b**(-17) assuming b is positive.
b**(619/27)
Simplify ((((r**0/r)/r)/r)/r)**(-46)/(r**(-9)/(r/(r/(r/r**(-3/4)*r)))) assuming r is positive.
r**(783/4)
Simplify ((g*(g/((g/(g*g/((g*g**10*g*g*g)/g)))/g))/g*g)/g*g**(-3)/g*g)/((g*g**(1/3)/g)/g*g**(-13)) assuming g is positive.
g**(2/3)
Simplify f*f/f**(-15)*((f/f**9)/f)/f*(f/f**(-3))/f**3 assuming f is positive.
f**8
Simplify (((y**(3/5))**(-46))**(15/7))**(-28/9) assuming y is positive.
y**184
Simplify (d/(d*(d*d**14)/d)*d**(-1))/(d**(2/3)/d**(-13)) assuming d is positive.
d**(-86/3)
Simplify ((x**(2/11)/x)/x**(-26))/(x/(x/(x/(x**(-4/3)/x))*x))**39 assuming x is positive.
x**(-724/11)
Simplify (k**(2/9))**(-13)/(k/((k*k**(-2)/k*k*k*k)/k))**(-25) assuming k is positive.
k**(199/9)
Simplify (d**(-2)/d)**(-26)/(d**(-14)/((((d*d**(-3/14)/d*d)/d)/d*d*d)/d*d)) assuming d is positive.
d**(1299/14)
Simplify (h**40/(h*h*h*h*h/(h*h*h**(-2/5))*h))**(-18) assuming h is positive.
h**(-3204/5)
Simplify (f**(-22)*f)/(f*f*(f/f**(-4/9))/f)*f**(-4/13)/(f/((f*f*f**(2/7))/f)) assuming f is positive.
f**(-19219/819)
Simplify ((h**(-9/4))**31)**(28/9) assuming h is positive.
h**(-217)
Simplify x**(1/20)*x*x*x/(x*x**(-1/6))*x**(-3)/(x*(x/(((x/x**12*x)/x*x)/x))/x) assuming x is positive.
x**(-767/60)
Simplify ((r*r/((r*r*r**(-4))/r))/r*r/(r*r/r**(2/11))*(r**(-3/5)/r)/(r/(r**(-5)/r)))**(-2/145) assuming r is positive.
r**(596/7975)
Simplify ((i/i**11)/i*i**5*i*i**(-4)*i*i*i**(1/9))**34 assuming i is positive.
i**(-2108/9)
Simplify ((h**(-4/11)*h)/(h*h/(h**(1/14)/h)*h*h))/(h*h**8*h*h**(-18/5)) assuming h is positive.
h**(-8233/770)
Simplify o**(1/6)*o/(o**(-12)/o)*o*(o**(-2/9))**17 assuming o is positive.
o**(205/18)
Simplify (k**(-2/17)/k*k)/(k*k*k*k*k*k**(-24)*k*k)*k*k**15*(k*(k*k**(-22))/k)/k assuming k is positive.
k**(185/17)
Simplify (r**(-2/7))**46*(r**(-2/13))**22 assuming r is positive.
r**(-1504/91)
Simplify (((x**(2/7))**(-20))**(-48))**27 assuming x is positive.
x**(51840/7)
Simplify (m**(-3/8))**(-6)*(m*m**(-8/5)*m)/(m**(-1/3)*m*m) assuming m is positive.
m**(59/60)
Simplify a**(-27)*a**6*a**(-19)/a*a*a**(1/12) assuming a is positive.
a**(-479/12)
Simplify (i/(i**(2/3)*i)*i*i**(-37))**(-41) assuming i is positive.
i**(4510/3)
Simplify (b*(b*b*b*b*b/(b*b/(b**(3/14)/b*b)*b)*b)/b*b)/b**(1/4)*b/b**(-13)*(b/b**(-1/12)*b)/b assuming b is positive.
b**(400/21)
Simplify ((a/(a/(a*(a/(a*a**0/a))/a)))/a)**(9/4)*a**(-7/6)*a**10 assuming a is positive.
a**(53/6)
Simplify ((o**(1/2)/(o**(2/7)/o))/(o**4*o**(-2/3)/o*o))**(-1/10) assuming o is positive.
o**(89/420)
Simplify (x*x**(1/2))**(-2/9)/(((x*x*(x*x*((x*x/x**(-5)*x*x)/x)/x)/x*x*x)/x)/(x**(3/11)/x)) assuming x is positive.
x**(-398/33)
Simplify (p/(p/(p**(-10)/p))*p**24*p)**(-17/5) assuming p is positive.
p**(-238/5)
Simplify (w*w/((w**2/w*w)/w))**(-3/32)*w*w**8*w**(-1/2) assuming w is positive.
w**(269/32)
Simplify (w**(5/3)*w)**(-1/5)/(w**(4/11)/w*w)**43 assuming w is positive.
w**(-2668/165)
Simplify (s**3)**(-1/3)/(s/(s/(s**(-2/9)/s)*s)*s)**48 assuming s is positive.
s**(173/3)
Simplify (m**(-12)/((m*m*m**(-3/10))/m))/((m**(-9)/m)/m*m**(6/17)*m) assuming m is positive.
m**(-519/170)
Simplify g**(-24)/(g**(-5/3)*g)*(g*g**(2/15))/g*g/(g*g/g**5*g) assuming g is positive.
g**(-101/5)
Simplify ((u*(u**20/u)/u)/u*u**5/u)/((u*u*(u*u**(-1/8))/u*u)/((u**(-9)/u)/u*u)) assuming u is positive.
u**(73/8)
Simplify (b**2/b**21)/(b*((b**(-2/87)*b*b)/b)/b*b*b**(5/6)) assuming b is positive.
b**(-1265/58)
Simplify (y*y**(-6/5)*y*y*y*y*
|
{
"pile_set_name": "DM Mathematics"
}
|
u*n**4 + g + t*n and give v.
2
Rearrange (1 + 3 - 1)*(-532 + 311 + 1339)*(h + 0 + 0) to the form s*h + m and give s.
3354
Rearrange 5*n**3 - n**4 + 0*n**2 - 4*n**3 + 432*n + 4*n**2 - 433*n to the form x*n**2 + k + r*n + z*n**4 + i*n**3 and give r.
-1
Express -9*f - 13*f - 19*f + 14*f**2 + f**3 - 16*f - 7 + 59*f as i*f**2 + n*f + d*f**3 + m and give n.
2
Express (-3*n - 47*n + 3*n + (3 + 2 - 7)*(n + 2*n - 2*n))*(-2*n + 4*n - 5*n) as l + i*n + w*n**2 and give w.
147
Rearrange 46*a + 10*a + 1 - 1 - 14*a to j*a + c and give j.
42
Rearrange (4*k**2 + 5*k**2 - k**2)*(-551 + 1076 - 537) to n + y*k**2 + q*k and give y.
-96
Rearrange -11136 + 11136 + 210*x to q*x + f and give f.
0
Express -2*t**2 + 5473*t - 4*t**4 - 5471*t + t**3 + 5*t**2 - 9 + 3*t**4 in the form k*t + h*t**3 + l*t**4 + x + d*t**2 and give x.
-9
Rearrange -1 - y**3 - 21*y + 18*y + 3*y - 13*y**2 to the form b*y**2 + o*y**3 + g*y + z and give b.
-13
Rearrange (j - 6*j - 6*j)*(-6*j - 16*j - 37*j) to c*j**2 + h + g*j and give c.
649
Rearrange 184*m**4 - 51*m**4 + 5*m**3 - m - 4*m**3 - 2*m**2 - m + 33*m**4 to the form z*m**3 + l*m + y + p*m**4 + o*m**2 and give l.
-2
Express -403*k**4 - 2*k**2 - 14*k + 3*k**3 - k**3 - 1 + 404*k**4 as n*k**3 + z + o*k**4 + v*k + d*k**2 and give d.
-2
Rearrange (0*l**3 + 5*l**3 + l**3)*(-33 - 43 - 44) to the form d*l**3 + y*l + h*l**2 + b and give d.
-720
Rearrange (2 + 2 + 0)*(-2*f + 0*f + 0*f)*(-5*f + 5*f - 8*f)*(4 - 2 - 3) to a + h*f + s*f**2 and give s.
-64
Express 6*p - 4*p - 3*p - 2*p + 2*p + 6*p + 7 - 7 - 2*p + (-5 + 2 + 1)*(3*p - 4*p + 2*p) + (-3 + 1 + 3)*(-2 - p + 2) - 3 + 3 - p in the form u + w*p and give w.
-1
Express 234*l + 10*l + 149*l in the form f + w*l and give w.
393
Express (34*u - 22*u - 16*u)*(8*u + 134*u - u) in the form g + x*u**2 + d*u and give x.
-564
Express 0*j - 18*j**2 - j + 59*j**2 - 3*j - 28*j**2 in the form m*j**2 + n + t*j and give m.
13
Express (0*v + 0*v + v)*(-17*v**2 + 816427*v - 816427*v - 11) in the form u*v + c*v**2 + z*v**3 + w and give z.
-17
Rearrange -66*o**2 - o + 2*o + 272 - 63*o**2 + 130*o**2 to h*o**2 + y*o + s and give h.
1
Rearrange -v - 237 - 30*v**4 + 390 - 149 - 2*v**3 to the form b*v**3 + z*v + r + m*v**2 + o*v**4 and give o.
-30
Rearrange (-45*y - 4*y + 15*y - 16*y - 2*y)*(-6*y - 2*y + 5*y) to the form t + n*y**2 + i*y and give i.
0
Express -16*u - 2*u - u - 2 - 15*u in the form o*u + y and give y.
-2
Express (-2*y**4 + y**2 - y**2)*(4 - 1 - 2 + (1 - 3 + 0)*(1 + 2 - 5) + 19 + 15 + 5)*(2 + 0 + 0) in the form d*y**4 + h + l*y + b*y**2 + w*y**3 and give d.
-176
Rearrange 23 - 34 + 4 + 19*g to the form h*g + l and give h.
19
Rearrange (0*k - k + 3*k)*(5 - 1 - 3) + k - k + 3*k + 31*k - 6*k + 38*k - 10*k to h*k + x and give x.
0
Rearrange -58*k**4 - k**4 + k**2 + 14 + 61*k**4 - k**3 + 3*k to l*k**4 + h*k + j*k**3 + c + q*k**2 and give h.
3
Rearrange -92*t - 105*t + 34*t - 111*t - 67*t to the form n + l*t and give l.
-341
Express 11*o - 16*o**2 + 2 - 11*o - 3*o**2 - 15*o**2 in the form l*o + r + v*o**2 and give v.
-34
Rearrange 360*y**3 - 381*y**3 + 2 + 495*y**3 to the form f + w*y**3 + a*y + p*y**2 and give f.
2
Express (1 - 3809*n + 4 + 3816*n)*(4 - 6 + 4) in the form a + c*n and give c.
14
Rearrange -41*w**3 - 175*w + 9 + 47*w**3 + 174*w to the form o*w**3 + u*w**2 + k + p*w and give p.
-1
Express -3063*d**4 + 7*d**2 + d + 7 - 4 + 3062*d**4 as q*d**2 + s*d**3 + h + g*d + w*d**4 and give q.
7
Rearrange -9*s + 7*s + 7*s**3 + 3*s**4 - 8*s**3 + (-2*s**3 + 4*s**3 - 3*s**3)*(96*s - 51*s - 50*s) to b*s + a*s**4 + d*s**2 + m*s**3 + f and give a.
8
Express -26*f - 120*f - 3 - 3 + 30*f - 60*f as i*f + z and give z.
-6
Rearrange b**3 - 149645*b + 2 - 3*b**2 + 149645*b to x + o*b + c*b**3 + d*b**2 and give x.
2
Rearrange -4 - 124*k**3 + 28*k + 46*k - 72*k to i*k**3 + p*k**2 + x + l*k and give l.
2
Express -2 - 27*u + 57*u + 66*u + 17*u as b*u + q and give q.
-2
Rearrange (4 - 5*z - 4)*(-11 - 6 - 6)*(-4*z + 4*z - 2*z) to r*z + w*z**2 + d and give w.
-230
Express (x + 3*x - 3*x)*(29*x + 52*x + 15*x) + (-x**2 + 2*x**2 - 3*x**2)*(-3 + 1 + 4) + (7 - 7 - 7*x)*(-2*x + 0 + 0) as f*x + h + v*x**2 and give v.
106
Express -4*s**3 - 6 + 8 + s**3 + 1 in the form n*s**3 + k*s + c + w*s**2 and give n.
-3
Rearrange (-3*p + 3*p - p**2)*(p + 2*p - p) + (1263 + 84*p - 1263)*(4 - 4 + 2*p**2)*(4 - 8 - 3) to the form u + i*p**3 + h*p + t*p**2 and give i.
-1178
Rearrange 7*i**2 - 1 - 42*i**2 + 26*i**2 + 8*i**4 to x*i**3 + b*i**4 + y + c*i + l*i**2 and give b.
8
Rearrange 243 - 3*o - 2*o**3 + 243 - 493 + 2*o**4 to x*o**3 + r*o**4 + i*o + n + y*o**2 and give n.
-7
Express -30495 + 30495 + 359*o**2 + 210*o**2 as s*o + v + z*o**2 and give z.
569
Rearrange -70 - 120 + 21 - 8 - x**2 to y + u*x + c*x**2 and give y.
-177
Rearrange 34 - 1645*q - 67 + 433*q + 33 to the form h*q + b and give h.
-1212
Express (2*y - y - 2*y)*(0 - 5 + 3)*(-51 - 233 - 65) as f*y + g and give f.
-698
Rearrange 6*n**4 + 11*n**4 - 2 - 3 + 7*n + 2 - 15*n**4 to m*n**4 + k + w*n**3 + h*n**2 + u*n and give u.
7
Express -7*t + 2*t**3 + 7*t - 3 - 243*t**2 - 2*t**4 + 207*t**2 in the form x*t**2 + q + o*t**3 + h*t + d*t**4 and give o.
2
Express 14 + 9 - 335*k**2 - 23 as r*k + a*k**2 + n and give a.
-335
Rearrange 272*z**3 - 270*z**3 + 21*z + 13*z - 96*z**2 + 93*z**2 to i + m*z**2 + r*z + p*z**3 and give m.
-3
Rearrange -2*j - j**2 + 29*j**4 - 50*j**4 + 23*j**4 - 2*j**3 to the form g*j**2 + d*j**3 + q*j + p + c*j**4 and give d.
-2
Rearrange f**2 - 7 + 1041*f - 1041*f + (-3 + 2 + 0)*(3*f + 2*f**2 - 3*f) to g + l*f**2 + r*f and give g.
-7
Express (5 - 10 - 15)*(q + 3*q - 2*q)*(1 - 3 + 6)*(8 - 4 - 5) in the form b + i*q and give i.
160
Rearrange -3*w - 1 + 2 - 1 + 1 - 4*w**2 to the form a*w + j*w**2 + o and give a.
-3
Express 15 - 408*h**2 - 29 - 2*h + h + 13 + 431*h**2 in the form o + f*h + r*h**2 and give r.
23
Express -y**2 + 12*y**4 - 4*y**2 - 6 - 7*y**4 in the form q*y**3 + l*y**2 + a + d*y + j*y**4 and give l.
-5
Rearrange 48*a**2 - 35 - 48*a**2 - a + 81*a**3 - 70*a**3 to the form v*a**2 + i + f*a + u*a**3 and give u.
11
Express (162 - 50 - 31)*(4*x**2 - 4*x**2 + 3*x**2)*(-2*x**2 + 0*x**2 + 0*x**2) as a + q*x**3 + s*x + b*x**4 + f*x**2 and give q.
0
Rearrange 3*o**2 - 1 - 25*o**4 - 24 + 23 - o**3 to w*o**4 + v + i*o**3 + y*o**2 + b*o and give w.
-25
Express -2*g - 33*g**3 + 43*g**2 - 34*g**2 - 3 + 33*g**3 - 2*g**4 + 54*g**2 in the form z*g**4 + l*g**2 + j*g**3 + q + m*g and give l.
63
Rearrange -62 - 137*s + 62 - 208*s to the form n*s + m and give n.
-345
Express 1857*o - o**3 - 928*o - 117*o**2 - 931*o as t*o + i*o**3 + l + r*o**2 and give i.
-1
Rearrange (6*c**2 - 2*c**2 - c**2)*(2*c**2 - 4*c**2 + 0*c**2) + 5224*c**2 - 5224*c**2 - 228*c**4 to p*c**4 + m*c**3 + a + q*c**2 + u*c and give p.
-234
Rearrange 1382*u - 2767*u + 1385*u + 601*u**2 to the form f + b*u**2 + p*u and give b.
601
Rearrange (-87 + 7 - 29)*(-a + a - a**3 + (-2*a + 2*a + a)*(-5*a**2 + 3*a**2 + a**2)) to i*a**3 + y*a**2 + f*a + p and give i.
218
Express 3*x + 133*x**2 - 6*x - 1366 + 1366 in the form y + k*x + t*x**2 and give t.
133
Rearrange (-48 - 42 + 76 + v)*(-2*v + 2*v - v**2) to the form p*v + a*v**2 + b*v**3 + j and give a.
14
Express (-2*u + u + 9*u)*(571 - 571 + 197*u) as l + j*u**2 + r*u and give j.
1576
Express 6*g - 1216*g**2 - 16*g - 2*g + 12*g as y*g**2 + c + v*g and give y.
-1216
Rearrange (-3159 + 181*q + 3159)*(2 + 0 - 3) to j*q + t and give j.
-181
Rearrange (78 - 330 - 171)*(t**2 + t**2 - 3*t**2) to a*t + k + j*t**2 and give j.
423
Rearrange 2*z - 47 - z**3 + 49 + 5*z**4 - 485*z**2 + 485*z**2 to y + d*z + v*z**2 + k*z**4 + b*z**3 and give b.
-1
Express (-14*w - 8*w + 5*w)*(3*w + w + 1 - 5*w) in the form z*w**2 + d*w + k and give z.
17
Express -760*n + 161*n - 1101*n as t + s*n and give s.
-1700
Express -4*p - 29 - 27 + 47*p**2 + 56 in the form j*p + t + c*p**2 and give c.
47
Rearrange (6 - 6 - 3*w)*(518*w**2 - 230*w**2 + 137*w**2) to the form i*w**2 + s*w + g + t*w**3 and give s.
0
Rearrange 92*t**2 + 118*t**2 - 1536*t**2 - 255*t**2 to the form d + k*t + v*t**2 and give v.
-1581
Express (0*k + k - 5*k - k - 2 + 2 + 0*k - 4*k + 5*k + (3*k - 3*k - 2*k)*(-1 + 1 - 1))*(54 - 182 - 28) in the form r + d*k and give d.
312
Rearrange -80*k + 410*k + k**2 - 4*k**2 + 543*k + 2*k**2 to the form a + x*k
|
{
"pile_set_name": "DM Mathematics"
}
|
r + 235. What is g(75)?
10
Let q(b) = 6*b**3 - 95*b**2 - 14*b - 43. Determine q(16).
-11
Let d(j) = -8*j**3 + 65*j**2 - 93*j - 37. Give d(6).
17
Let k(i) = 7*i - 29. Calculate k(21).
118
Let h(b) = b**3 - 7*b**2 + 10*b - 19. What is h(7)?
51
Let x(w) = 13*w**2 + 4*w + 3. Calculate x(-3).
108
Let k(m) = -57*m**2 + 22*m + 85. What is k(-3)?
-494
Let q(h) = 3*h**3 - 7*h**2 + 20*h - 103. What is q(5)?
197
Let l(d) = -35*d - 118. Give l(-5).
57
Let z(o) = -o**2 - 23*o + 197. Give z(-30).
-13
Let o(d) = 2*d**3 + 111*d**2 - 57*d - 29. What is o(-56)?
27
Let a(y) = 9*y**2 + 38*y - 90. Calculate a(3).
105
Let o(g) = 170*g - 2395. Calculate o(14).
-15
Let m(s) = s**3 - 6*s**2 - 9*s + 17. What is m(5)?
-53
Let u(o) = 152*o + 1532. Calculate u(-10).
12
Let g(j) = -j**3 - 21*j**2 - 14*j + 198. What is g(-21)?
492
Let g(v) = -v**2 - 11*v + 228. Determine g(-17).
126
Let j(p) = 2*p**2 - 310*p + 1503. Determine j(5).
3
Let l(g) = 296*g + 657. Calculate l(-3).
-231
Let p(x) = -x**2 + 1696*x - 36832. Calculate p(22).
-4
Let t(x) = 15485*x + 123888. What is t(-8)?
8
Let b(j) = 22*j**2 + 95*j + 10. What is b(-4)?
-18
Let u(r) = -2*r**2 - 36*r - 140. Calculate u(-10).
20
Let g(h) = 2*h**2 + 15*h - 558. What is g(-21)?
9
Let d(t) = 278*t**2 + 115*t - 113. Calculate d(1).
280
Let p(q) = -628*q + 6284. Calculate p(10).
4
Let h(r) = -11*r**3 + 2*r**2 - 21*r + 31. Give h(2).
-91
Let m(o) = 2*o**2 + 36*o + 71. What is m(-2)?
7
Let u(s) = s**2 + 1554*s + 20027. Calculate u(-13).
-6
Let d(i) = -22*i - 136. Calculate d(-9).
62
Let i(u) = -28*u**2 - 441*u - 20. What is i(-16)?
-132
Let w(m) = 101*m + 575. Calculate w(-6).
-31
Let j(b) = 22*b**2 - 4*b + 2. Calculate j(-1).
28
Let h(x) = -145*x + 83. What is h(7)?
-932
Let v(l) = -2*l**3 - 208*l**2 - 410*l - 199. What is v(-102)?
5
Let f(m) = -2*m**2 - 62*m - 101. What is f(-26)?
159
Let a(f) = 9*f**3 - 39*f**2 - 6*f + 19. Calculate a(5).
139
Let z(u) = -u**2 + 35*u - 236. Calculate z(9).
-2
Let s(r) = -2225*r - 11043. Determine s(-5).
82
Let j(b) = b**2 - 133*b + 876. What is j(126)?
-6
Let r(i) = -i**3 - 7*i**2 + 590*i + 3569. Give r(-6).
-7
Let d(l) = 23*l**2 + 6*l + 7. Calculate d(-2).
87
Let s(i) = 7*i**2 - 277*i + 115. Determine s(39).
-41
Let b(u) = 2*u**3 + 16*u**2 + 44*u + 62. Determine b(-5).
-8
Let c(s) = 2*s**3 + 18*s**2 + 40*s + 181. Give c(-8).
-11
Let s(d) = 8*d - 139. Give s(17).
-3
Let i(w) = 2*w**2 - 59*w - 55. What is i(29)?
-84
Let x(c) = -15*c + 127. Give x(21).
-188
Let a(z) = -5*z**2 + 15*z + 2. Determine a(2).
12
Let o(u) = -101*u + 542. Give o(6).
-64
Let d(w) = -203*w + 1486. Determine d(6).
268
Let q(g) = -6*g**3 - 155*g**2 + 570*g + 14146. Calculate q(-26).
2
Let l(j) = -2*j**3 - 80*j**2 - 493*j + 617. Determine l(-32).
9
Let f(a) = a**2 + 16*a - 28. Determine f(3).
29
Let m(s) = 1875*s + 28084. What is m(-15)?
-41
Let i(b) = 2*b**3 + 44*b**2 - 10*b + 11. Calculate i(-22).
231
Let a(x) = 5*x**3 - 57*x**2 + 67*x + 36. What is a(10)?
6
Let g(y) = 2*y**2 + 49*y + 23. Give g(-25).
48
Let x(z) = -1147*z + 8019. What is x(7)?
-10
Let l(f) = 51*f**2 + 763*f - 28. Give l(-15).
2
Let a(j) = j**2 + 47*j - 1972. Determine a(-74).
26
Let u(j) = -4*j**2 - 10*j - 8. Determine u(-2).
-4
Let c(n) = n**3 + 42*n**2 - n - 27. What is c(-42)?
15
Let y(u) = -238*u - 1857. Determine y(-8).
47
Let c(h) = 392*h + 74476. Determine c(-190).
-4
Let x(c) = c**3 + 14*c**2 - 21*c - 322. Calculate x(-14).
-28
Let n(m) = 15*m - 172. What is n(14)?
38
Let b(f) = 2*f**3 + 24*f**2 - 17*f - 17. Calculate b(-13).
-134
Let g(f) = -693*f - 5460. Give g(-8).
84
Let s(o) = 2*o**2 - 136*o - 855. Give s(-6).
33
Let i(r) = -r**2 + 32*r - 187. Determine i(22).
33
Let f(y) = -41*y + 9582. Determine f(234).
-12
Let f(n) = -n**3 + 4*n**2 + 179*n + 203. Calculate f(16).
-5
Let z(q) = -9*q**2 + 4*q + 32. Give z(-2).
-12
Let t(g) = -g**2 - 114*g - 1013. Give t(-10).
27
Let q(m) = 2997*m - 107. What is q(0)?
-107
Let k(d) = -101*d - 194. Give k(-5).
311
Let b(o) = 265*o**2 - 1065*o + 71. What is b(4)?
51
Let u(b) = -b**2 + 97*b + 2027. Determine u(-17).
89
Let w(u) = u**3 + 5*u**2 - 61*u - 375. Calculate w(-7).
-46
Let r(b) = 2*b**2 + 91*b + 142. Calculate r(-44).
10
Let c(v) = -v**2 + 6*v + 24. What is c(-7)?
-67
Let t(z) = -z**3 + 4*z**2 + 28*z - 45. Determine t(10).
-365
Let r(c) = -7*c - 405. Calculate r(-26).
-223
Let k(j) = -33*j**2 + 80*j - 46. Calculate k(1).
1
Let k(w) = w**2 - 30*w - 166. Calculate k(35).
9
Let z(r) = -9*r**2 - 197*r - 348. Calculate z(-20).
-8
Let i(g) = 1180*g**2 - 80239*g - 63. Determine i(68).
5
Let i(n) = 2*n**3 - 18*n**2 - 4*n - 2. Determine i(10).
158
Let m(v) = v**3 + 10*v**2 - 31*v - 59. Calculate m(-12).
25
Let z(b) = -2*b**2 - 65*b - 222. Give z(-28).
30
Let q(a) = 113*a - 1697. Give q(15).
-2
Let b(k) = k**3 - 8*k**2 - 36*k - 32. What is b(-5)?
-177
Let p(m) = m**3 + 21*m**2 - 6*m - 13. Give p(-21).
113
Let o(v) = v**3 - 5*v**2 + 15*v - 173. What is o(8)?
139
Let a(y) = y**3 + 19*y**2 - 91*y + 6. Calculate a(0).
6
Let v(p) = -p**3 + 11*p**2 + 40*p - 3. Calculate v(13).
179
Let s(o) = -4*o + 23. What is s(6)?
-1
Let b(t) = -2*t**2 - 28*t + 1585. Give b(22).
1
Let z(l) = -l**2 + 45*l + 1804. Give z(71).
-42
Let x(f) = -f**3 + 43*f**2 - 444*f - 145. Calculate x(25).
5
Let l(q) = 105*q + 223. What is l(-3)?
-92
Let y(w) = -w**2 + 516*w + 38411. What is y(-66)?
-1
Let k(a) = 220*a - 35604. What is k(162)?
36
Let b(m) = 3*m - 48. What is b(-3)?
-57
Let u(d) = -1022*d - 6134. Determine u(-6).
-2
Let b(i) = -122*i + 3288. Calculate b(27).
-6
Let z(x) = -428*x - 1904. Determine z(-4).
-192
Let m(d) = -4*d**3 + 92*d**2 + 92*d + 83. Determine m(24).
-13
Let c(n) = -361*n - 3262. Determine c(-9).
-13
Let k(d) = d**2 + 22*d + 16. What is k(-20)?
-24
Let r(o) = o**3 - 46*o**2 + 36*o + 463. Give r(45).
58
Let q(n) = -n**2 + 6*n + 109. Determine q(-9).
-26
Let s(t) = 2908*t + 17443. Give s(-6).
-5
Let t(y) = -y**2 - 93*y - 1467. Calculate t(-20).
-7
Let y(q) = -2*q**2 + 232*q - 1498. Determine y(109).
28
Let i(z) = 21*z - 100. Determine i(6).
26
Let b(o) = -3*o + 212. Calculate b(55).
47
Let j(y) = -y**2 + 42*y - 343. Calculate j(8).
-71
Let f(s) = -2*s**2 + 37*s + 30. Calculate f(19).
11
Let r(k) = -k**3 + 14*k**2 + 7*k + 5. Determine r(14).
103
Let o(n) = -n**2 - 221*n - 8305. Give o(-48).
-1
Let i(j) = 145*j + 48. Give i(0).
48
Let h(i) = 31*i - 1156. What is h(31)?
-195
Let c(p) = -13*p - 695. Calculate c(-54).
7
Let n(x) = -130*x - 5833. Determine n(-45).
17
Let r(y) = 222*y + 404. Determine r(-3).
-262
Let m(h) = -11*h**2 - 62*h - 13. Calculate m(-7).
-118
Let h(g) = -g**3 + 19*g**2 - 84*g - 55. Give h(11).
-11
Let d(k) = 16*k + 1671. Calculate d(-104).
7
Let b(r) = -2*r**2 + 59*r + 31. Calculate b(19).
430
Let c(g) = -53*g**2 + 17*g. Calculate c(-3).
-528
Let j(u) = -2*u**2 + 132*u - 492. What is j(62)?
4
Let u(g) = -313*g + 321. Calculate u(2).
-305
Let f(u) = -19*u**2 - 512*u + 49. Determine f(-27).
22
Let p(o) = -2*o**3 + 5*o**2 - 3*o + 17. Determine p(4).
-43
Let a(b) = 2236*b + 8938. Calculate a(-4).
-6
Let y(x) = 3*x**2 - 87*x + 670. What is y(20)?
130
Let t(r) = -r**3 + 6*r**2 - 43*r - 2. Give t(6).
-260
Let r(u) = 144*u + 4251. Calculate r(-29).
75
Let x(c) = c**3 + 356*c**2 - 307*c + 17852. Determine x(-357).
2
Let b(g) = 170*g + 143. Give b(-1).
-27
Let m(x) = x**3 - 45*x**2 + 464*x - 10. Calculate m(16).
-10
Let b(o) = -79*o + 1524. What is b(17)?
181
Let g(b) = -543*b - 7045. Give g(-13).
14
Let y(f) = 43*f - 1075. Determine y(25).
0
Let k(f) = 2*f**3 + 19*f**2 - 78*f - 480. What is k(-11)?
15
Let u(t) = -2*t**2 + 148*t + 302. Give u(76).
-2
Let t(v) = v**3 + 24*v**2 + 75*v + 105. Determine t(-22).
-577
Let z(x) = -41*x + 1739. Determine z(44).
-65
Let l(h) = -2*h**3 - 67*h**2 - 39*h - 326. Calculate l(-33).
-128
Let d(g) = -19*g + 128. Determine d(4).
52
Let r(t) = -t**3 + 52*t**2 + 7*t - 320. Determine r(52).
44
Let j(a) = a**3 - 22*a**2 - 245*a - 9. Determine j(-8).
31
Let u(z) = -128*z - 1782. Determine u(-14).
10
Let s(v) = v**3 + 10*v**2 - 28*v - 95. Calculate s(-12).
-47
Let v(c) = -c**2 - 51*c - 616. What is v(-31)?
4
Let g(o) = 4*o**2 + 4*o - 9. Calculate g(-8).
215
Let p(i) = 12*i + 71. Calculate p(-12).
-73
Let j(l) = -5*l**2 - 111*l - 440. What is j(-17)?
2
Let x(h) = -1668*h - 14946. Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
2.
-1439*l**2
Collect the terms in -74*d - 21*d - 95*d - 43*d.
-233*d
Collect the terms in 4*u**2 - u**2 + 74 - 1102.
3*u**2 - 1028
Collect the terms in -1493 + 2983 - 1495 - 7*y.
-7*y - 5
Collect the terms in -64 - 9 + 6*n**3 - 22*n**3.
-16*n**3 - 73
Collect the terms in 493*a**3 + 489*a**3 + 495*a**3 - 1972*a**3 + 501*a**3.
6*a**3
Collect the terms in 217898 + 2*u + u - 3*u - 217898 + 11*u**3.
11*u**3
Collect the terms in -126*p - 64*p + 159*p.
-31*p
Collect the terms in 66*k - 13*k - 17*k + 24 - 15*k - 20*k.
k + 24
Collect the terms in 805*p + 1 - 2503*p + 805*p + 839*p.
-54*p + 1
Collect the terms in 3 + 35334*y - 3 - 1029*y**2 - 35334*y.
-1029*y**2
Collect the terms in 31 - 40*b**3 - 3*b**3 + 23*b**3 - 31.
-20*b**3
Collect the terms in 243 - 174 + 0*h**3 + 2*h**3 - 69.
2*h**3
Collect the terms in -139*u - 3*u**3 + 0*u**3 + 939*u - 800*u.
-3*u**3
Collect the terms in -27*j - 338 + 23*j - 33.
-4*j - 371
Collect the terms in 31 - 31 - 18*a**3 + 12*a**3.
-6*a**3
Collect the terms in -54*y + 1214 + 52*y - 1207.
-2*y + 7
Collect the terms in -98*w - 81*w + 222*w.
43*w
Collect the terms in -11*p - 7*p + 18*p - 62*p**2.
-62*p**2
Collect the terms in 69 - 6*a + 6*a - 4*a**3 + 2*a**3.
-2*a**3 + 69
Collect the terms in 2516*w**2 - 5785*w**2 + 3267*w**2.
-2*w**2
Collect the terms in 702*b**2 - 767*b**2 + 1 - 1.
-65*b**2
Collect the terms in 89727*g + 37 - 37 + 32603*g.
122330*g
Collect the terms in -1 - 1046*w + 1 - 340*w.
-1386*w
Collect the terms in -18427973 + 18427973 - 8*o.
-8*o
Collect the terms in 65 - 58*d**2 + 31*d**2 - 117*d - 59 + 29*d**2.
2*d**2 - 117*d + 6
Collect the terms in -250*u**3 + u**2 + 5*u**2 + 845*u**3.
595*u**3 + 6*u**2
Collect the terms in -42*a**2 + 107*a**2 - 47*a**2 - 44*a**2.
-26*a**2
Collect the terms in g + 43*g**2 - g - 20*g**2 - 22*g**2.
g**2
Collect the terms in -3*s + 6*s - 553 + 1073 - 520.
3*s
Collect the terms in 84*n**3 + 0*n**2 - n**2 - 76*n**3.
8*n**3 - n**2
Collect the terms in -200 - 6*c**3 - 180 + 111*c**3 + 380.
105*c**3
Collect the terms in 14*n - 4*n - 53*n + 5*n - 55*n.
-93*n
Collect the terms in -340*o**2 + 1021*o**2 - 339*o**2 + 4 - 346*o**2.
-4*o**2 + 4
Collect the terms in 112 + 122*x**3 - 125*x**3 - 225 + 113.
-3*x**3
Collect the terms in -154*b**2 + b - b + 325*b**2 - 156*b**2.
15*b**2
Collect the terms in -7*w**2 - 5*w**2 - 12*w**2 - 7*w**2 + 29*w**2.
-2*w**2
Collect the terms in -6*b**2 - 1678 + 3353 - 1675.
-6*b**2
Collect the terms in 1148*z**3 - 585*z**3 - 591*z**3.
-28*z**3
Collect the terms in b + 11*b - 4*b + 10*b + 13*b.
31*b
Collect the terms in 109*b - 161*b - 137*b.
-189*b
Collect the terms in -164*t - 164*t - 155*t - 156*t + 628*t.
-11*t
Collect the terms in -49285*t**2 + 98586*t**2 - 49272*t**2.
29*t**2
Collect the terms in 11548 + 2*w - 23105 + 201*w**3 + 11557 + 280*w**3.
481*w**3 + 2*w
Collect the terms in 2275169 + 680*d**2 - 2275169.
680*d**2
Collect the terms in 814*o + 2956*o + 3126*o.
6896*o
Collect the terms in 510*n - 1253*n - 121*n - 1201*n - 1478*n.
-3543*n
Collect the terms in 0 - 81066*v**2 + 81032*v**2 + 0.
-34*v**2
Collect the terms in 23*f**2 + 12*f**2 - 18*f**2 + 6*f**2 + 30*f**2 + 2*f.
53*f**2 + 2*f
Collect the terms in 174*g - 86*g - 336*g**3 - 88*g.
-336*g**3
Collect the terms in -80 + 38 + 40 - 43*n**3.
-43*n**3 - 2
Collect the terms in -678*v + 0*v**2 + 678*v + 0*v**2 - 126*v**3.
-126*v**3
Collect the terms in 0 + 855*i**2 - 2 + 2.
855*i**2
Collect the terms in 3 - 87*k**2 - 81*k**2 + 4 - 12.
-168*k**2 - 5
Collect the terms in -359*c**3 - 382*c**3 - 1031*c**3.
-1772*c**3
Collect the terms in -341*y + 681*y - 234*y**3 - 67*y**3 - 340*y.
-301*y**3
Collect the terms in -45*c**2 + 46*c**2 - 21*c**3 - 21*c**3 + 3*c**3.
-39*c**3 + c**2
Collect the terms in 1931*h**3 + 1125*h**3 - 662*h**3.
2394*h**3
Collect the terms in 247*s**3 + 22 + 14 - 51 + 15.
247*s**3
Collect the terms in -3*x + 9*x**3 - 4*x + 7*x + 0*x**3 - 8*x**3.
x**3
Collect the terms in -s + 0*s - 17*s**3 + 83*s**3.
66*s**3 - s
Collect the terms in -756 - 730 - t**2 + 1486 - t**2.
-2*t**2
Collect the terms in 26836*c + 3669*c - 890*c + 4898*c.
34513*c
Collect the terms in -5*k**2 - 46*k**2 + 51*k**2 - 49*k**2 - 13*k**2.
-62*k**2
Collect the terms in 19*y - 81*y + 18*y + 20*y + 21*y.
-3*y
Collect the terms in 807555*g + 1159*g**2 - 1160*g**2 - 807555*g.
-g**2
Collect the terms in -174*r**3 + 83 - 34 - 49.
-174*r**3
Collect the terms in 12*n + 3*n + n - 6*n + 11*n.
21*n
Collect the terms in -6180 + 19*j**2 - 6092 + 12272 - j**2.
18*j**2
Collect the terms in 280*s**2 + 2*s + 4*s + 178*s**2 - 6*s.
458*s**2
Collect the terms in -1087*w + 2156*w - 1045*w.
24*w
Collect the terms in 17*f + 6 - 36*f + 28 + 14*f - 42.
-5*f - 8
Collect the terms in 98*z - 276*z + 107*z + 37*z.
-34*z
Collect the terms in -13*v + 0 + 7 + v + 13.
-12*v + 20
Collect the terms in 57*p + 3*p**2 - 4*p**2 + 33*p**2.
32*p**2 + 57*p
Collect the terms in 1203*q**2 - 1203*q**2 + 1176*q**3.
1176*q**3
Collect the terms in 9696 + 11*c**2 - 2*c**3 - 18*c**2 + 7*c**2 - 9696.
-2*c**3
Collect the terms in -235*v + 3061*v**2 + 93*v**2 + 235*v.
3154*v**2
Collect the terms in -118183685 - 3*a + 118183685.
-3*a
Collect the terms in -4180*s - 21*s**3 + 4180*s.
-21*s**3
Collect the terms in 3096 - 3096 - 1639*m**2.
-1639*m**2
Collect the terms in -67*h - 121*h - 95*h.
-283*h
Collect the terms in -4806042 - 38*m**3 + 4806042 + 75*m**3 - 38*m**3.
-m**3
Collect the terms in -1067 + 3317 - 3*g**2 - 1127 - 1123.
-3*g**2
Collect the terms in 41 - 21*g**2 + 37 - 122 + 44.
-21*g**2
Collect the terms in -13 - 63*d**3 - 132*d**3 + 13 + 1.
-195*d**3 + 1
Collect the terms in -359*w + 280*w - 2018*w.
-2097*w
Collect the terms in 8*m**2 + 28 + 24 - 12*m**2.
-4*m**2 + 52
Collect the terms in 1128*y**3 + 1698*y**3 - 2836*y**3.
-10*y**3
Collect the terms in 18*a**2 + a**3 - 23*a**2 + 5*a**2.
a**3
Collect the terms in 327*m + 405*m - 903*m + 171*m - m**3.
-m**3
Collect the terms in 4 - 3 - 1 + 372*o.
372*o
Collect the terms in -3*b - 5*b - 9*b - 368.
-17*b - 368
Collect the terms in 15 - 7 + 122*t**2 - 6.
122*t**2 + 2
Collect the terms in -7*l - 6*l + 27*l - 8*l - 13*l.
-7*l
Collect the terms in 1913*m**2 + 2513*m**2 - 366*m**2.
4060*m**2
Collect the terms in 0*r**2 - 2*r**2 + 3*r**2 - 1 + 1901*r**3 + 67*r.
1901*r**3 + r**2 + 67*r - 1
Collect the terms in -63*n + 90*n - 78*n.
-51*n
Collect the terms in 214*u - 424*u + 225*u.
15*u
Collect the terms in 2*d**3 + 10 - 11 + 15 + 31*d.
2*d**3 + 31*d + 14
Collect the terms in -7*k + 7*k - 463*k**3 - 452*k**3 + 920*k**3.
5*k**3
Collect the terms in -549 - 556 + 0*o - 2*o - 179 + 1284.
-2*o
Collect the terms in -204*y - 213*y + 631*y - 201*y.
13*y
Collect the terms in 5*g + 8*g + 6*g + 2*g - 38*g.
-17*g
Collect the terms in 9*z**2 + 15 + 0*z**2 - z + 110 - 17.
9*z**2 - z + 108
Collect the terms in -12 + 14941*u + 11*u**3 - 14941*u.
11*u**3 - 12
Collect the terms in 1 - 1 + 1191884*k**2 - 1191886*k**2.
-2*k**2
Collect the terms in 150*o**2 + 11*o + 12*o - 27*o + 3*o - 1.
150*o**2 - o - 1
Collect the terms in -176*o + 77*o + 76*o.
-23*o
Collect the terms in 163*r - 6*r**2 + 20*r - 182*r - r.
-6*r**2
Collect the terms in -448 - 56 - 5*y - 1149 - 758.
-5*y - 2411
Collect the terms in -593*h**3 - h**2 - 65*h**3 - 2*h - 2875*h**3.
-3533*h**3 - h**2 - 2*h
Collect the terms in -107 - 102 + 205*k + 298 - 89.
205*k
Collect the terms in -1 + 16710*m + 1 - 42*m**2 - 16707*m - 9*m**2.
-51*m**2 + 3*m
Collect the terms in -9*k**3 + 3963*k - 3963*k.
-9*k**3
Collect the terms in 2269*k - 4536*k + 2308*k.
41*k
Collect the terms in d**2 - 10171*d - 2*d**2 + 633*d.
-d**2 - 9538*d
Collect the terms in 2855*a + 5404*a + 289*a.
8548*a
Collect the terms in 4576*q + 4585*q - 9167*q.
-6*q
Collect the terms in -2172*v - 1001*v - 2082*v + 122*v.
-5133*v
Collect the terms in 0*t - 2153341 + t + 2153341.
t
Collect the terms in 110*s**2 + 13*s**3 + 11*s**3 + 16*s**3 - 42*s**3.
-2*s**3 + 110*s**2
Collect the terms in -2 + 60369145*k + 2 - 60369139*k.
6*k
Collect the terms in 99777*r**3 - 33258*r**3 - 33258*r**3 - 33257*r**3.
4*r**3
Collect the terms in 4*u - 2 + 17*u + 37*u - 11*u.
47*u - 2
Collect the terms in 4*b**2 - 2*b**2 + 4*b**2 + b**2 + 135568*b - 135568*b.
7*b**2
Collect the terms in -76*h**3 + 4*h + 0*h + 2*h**2 - 4*h**2.
-76*h**3 - 2*h**2 + 4*h
Col
|
{
"pile_set_name": "DM Mathematics"
}
|
l**2
Let k(i) = -72*i**2 + i - 1. Let y(d) = -d**2 - d - 1. Determine k(q) + y(q).
-73*q**2 - 2
Let r(s) = 6*s**3 + 3*s**2 - s - 1. Let u be r(1). Let i(w) = 9*w - 5. Let f(j) = 4*j - 2. Determine u*f(z) - 3*i(z).
z + 1
Let m(h) = -12*h**2 + 3 - 9*h**2 - 9*h**2 - 6*h**3 + 34*h**2. Let g(i) = 17*i**3 - 11*i**2 - 8. Give -4*g(l) - 11*m(l).
-2*l**3 - 1
Let z(c) = -c**2 + 1. Let s(b) = 2*b**3 - 22*b**2 + 5*b - 54. Let f be s(11). Let r(v) = 2*v**3 + 5*v**2 + 3*v - 5. Calculate f*r(d) + 5*z(d).
2*d**3 + 3*d
Let f(z) = -523*z - 9. Let y(q) = 3663*q + 66. Give 22*f(l) + 3*y(l).
-517*l
Let x(v) = v + 1. Let t(g) = -3*g - 20. Let p(m) = -m - 21. Let d(n) = -2*p(n) + 3*t(n). Determine -d(r) - 5*x(r).
2*r + 13
Let g(j) = 20*j - 14. Let q(x) = 13*x - 9. Suppose 4*i = -o - 21, -2 = o - 3*o + 3*i. Give o*g(b) + 8*q(b).
4*b - 2
Let v(w) = -4*w**2 - w - 5. Suppose 5*h - 18 - 92 = -17*h. Let p(y) be the first derivative of -2*y**3/3 - 2*y + 1. What is h*p(b) - 2*v(b)?
-2*b**2 + 2*b
Let w(c) = -5*c**3 - 2*c**2 - 3*c + 3. Let k(b) = 20*b**3 + 7*b**2 + 11*b - 14. Give -2*k(g) - 9*w(g).
5*g**3 + 4*g**2 + 5*g + 1
Let i(f) = 7*f**3 + f**2 - 1. Let l(s) = 2*s**3. What is -2*i(n) + 9*l(n)?
4*n**3 - 2*n**2 + 2
Let l(r) = -10*r + 16. Let k(g) = 7*g - 11. Let d = -306 + 301. What is d*l(a) - 7*k(a)?
a - 3
Let d(z) = 6*z**2 + 95*z - 1. Let f(q) = 4*q**2 + 95*q - 1. What is -3*d(k) + 4*f(k)?
-2*k**2 + 95*k - 1
Let y(h) = -9*h**3 + 7*h**2 + 7*h. Suppose 0 = -42*a + 46*a. Let p(z) = 8*z**3 + z**2 + 3*z**2 + a*z - 10*z**2 - 6*z. What is -7*p(w) - 6*y(w)?
-2*w**3
Let p(q) = -113. Let s(t) = t**2. Give p(m) - 2*s(m).
-2*m**2 - 113
Let a(d) = 7*d**3 - 2*d**2 + 42*d - 5. Let b(m) = 8*m**3 - 3*m**2 + 42*m - 6. Determine 7*a(n) - 6*b(n).
n**3 + 4*n**2 + 42*n + 1
Let m(u) = -13*u - 563 - 572 + 1132. Let v(l) = 390*l + 91. Give -91*m(s) - 3*v(s).
13*s
Let w(m) = -39*m**2 + 11*m - 12. Let g(u) = -118*u**2 + 31*u - 34. What is -6*g(s) + 17*w(s)?
45*s**2 + s
Let k(q) = -11*q**3 - 5*q. Let u be 22/242 - (-54)/11. Let m(z) = -32*z**3 - 14*z. What is u*m(y) - 14*k(y)?
-6*y**3
Suppose -37 = 5*h - 42. Let o(j) = j**3 - j + 1. Let d(a) = -6*a**3 - a**2 + 5*a - 3. What is h*d(b) + 5*o(b)?
-b**3 - b**2 + 2
Let z(a) = 2*a**2 + a - 1. Let y(f) = -f**3 - 22*f**2 - 4*f + 4. Determine -y(o) - 4*z(o).
o**3 + 14*o**2
Let p(b) = -184*b**3 - 3*b**2 - 6*b - 3. Let w(o) = 88871*o**3 + 1448*o**2 + 2896*o + 1448. Calculate 1448*p(x) + 3*w(x).
181*x**3
Let p(u) = -78*u**3 + 65*u + 65. Suppose -54 = -333*n + 342*n. Let w(r) = 7*r**3 - 6*r - 6. Calculate n*p(y) - 65*w(y).
13*y**3
Let f(n) = -n. Let y(d) = 11*d - 6*d - 17*d. Let i(s) = -s**2 + 18*s + 21. Let k be i(19). Calculate k*y(r) - 27*f(r).
3*r
Let v(h) = -h - 1. Let x(a) = 14*a + 10. Let z be (-4 + 24)*9/18. Determine z*v(l) + x(l).
4*l
Let p = -5 + 4. Let j be 1/((2/10)/p). Let x(d) = 6*d. Let k(w) = 3*w. Determine j*k(v) + 2*x(v).
-3*v
Let z(t) = -t**2 - 3*t + 4. Let q be z(-5). Let f(l) = -5*l + 11. Let u(d) = 2*d + 41. Let b(s) = -3*s - 69. Let j(v) = 3*b(v) + 5*u(v). Give q*f(w) - 33*j(w).
-3*w
Let p(r) = -6*r**2 + 7*r + 4. Let z(v) = -3*v**2 + 3*v + 2. Let h = 49 + -47. What is h*p(d) - 5*z(d)?
3*d**2 - d - 2
Let j(d) = -4*d**2 - 2. Let c = 18 - 14. Let m(i) = 4*i - 27. Let p be m(9). Let l(k) = 2*k**2 + 1. Give c*j(h) + p*l(h).
2*h**2 + 1
Let d(p) = p - 5. Let v(o) = -2. Let g(n) = -n + 4. Let i be g(4). Suppose i = 4*k - 3*k + 2. Calculate k*d(a) + 5*v(a).
-2*a
Let z(d) = 62 - 6*d - 6*d + 16*d - 59. Let s(f) = 1. What is -4*s(p) + z(p)?
4*p - 1
Let m(w) = -5*w**3 + 6*w**2 - 4*w - 4. Let l(i) = i**2 - i - 1. Let f = -3 + 10. Suppose -2 + f = -g + 3*k, 3*k - 1 = 5*g. Determine g*m(r) - 4*l(r).
-5*r**3 + 2*r**2
Let p(b) = 6*b**3 - b**2 + 3*b. Suppose 0 = 91*v - 74*v - 85. Let n(y) = -11*y**3 + y**2 - 5*y. Give v*p(c) + 3*n(c).
-3*c**3 - 2*c**2
Let t(r) = -2*r**2 - r + 4. Let f(g) be the second derivative of g**4/2 + g**3/2 - 6*g**2 - 77*g. Calculate 3*f(j) + 8*t(j).
2*j**2 + j - 4
Let r(o) = 13*o + 2. Let y(c) = c + 2. Let j(v) = -r(v) + 6*y(v). Let s(f) = 2. Determine -2*j(q) + 10*s(q).
14*q
Let a(c) = 6*c + 7. Let k = -2146 - -2141. Let f(n) be the second derivative of 2*n + 3*n**2 + 5/6*n**3 + 0. What is k*f(q) + 4*a(q)?
-q - 2
Let g(d) = 3*d**2 + 3*d - 3. Let y be 10/2 - (5 + -4). Suppose 0 = 3*s + 5*t - 3*t - 1, y = -s - 5*t. Let o(k) = k - 1. What is s*g(l) - 3*o(l)?
3*l**2
Let i(u) = 20*u**2 + 11*u + 2. Let t(g) = 31*g**2 + 17*g + 3. Determine 8*i(m) - 5*t(m).
5*m**2 + 3*m + 1
Suppose 17*g - 8*g = -45. Let d(c) = c**2 - 5. Let v(i) = i**2 + i - 4. Let m(w) = 4*d(w) - 5*v(w). Let b(f) = 3*f**2 + 18*f. Determine g*b(z) - 18*m(z).
3*z**2
Let w(q) = 2*q**2 - q. Let a(d) = -15*d**2. Let k(g) = 8*g**2 - g. Let b(p) = 3*a(p) + 7*k(p). Calculate 6*b(i) - 34*w(i).
-2*i**2 - 8*i
Let y(l) = 2*l**2 - l + 1. Let x(r) = r**3 - 14*r**2 - 4*r + 4. What is -x(s) + 4*y(s)?
-s**3 + 22*s**2
Let b(a) = -a**2 + 3*a - 1. Let w(o) = -o. Let s(k) = b(k) + 3*w(k). Let x = 7 - 12. Let t(c) = 4*c**2 + 5. Give x*s(r) - t(r).
r**2
Let p(f) = -6*f**2 + 9*f - 5. Let t(m) = 4*m**2 + 28*m - 7 - 13*m**2 - 15*m. Determine -7*p(c) + 5*t(c).
-3*c**2 + 2*c
Let d(y) = -4*y. Let o(z) = -4*z. Let n be (-2 - -3 - 0)*4. Let v(u) = -8*u + 85. Let g be v(11). Determine g*d(l) + n*o(l).
-4*l
Let p(c) = 6*c + 5. Let q(a) = -a - 1. Suppose 4*s = 23 - 7, -33 = 5*t - 2*s. Suppose -2*b - 2*b = 4. What is b*p(o) + t*q(o)?
-o
Let a(d) = -3*d**3 - 2*d - 10. Let j(p) = -48*p**3 - 33*p - 159. Calculate 33*a(f) - 2*j(f).
-3*f**3 - 12
Let w(d) = -d. Let h(c) = -5*c + 1. Let g(m) = -m - 3. Let n be g(-2). Give n*h(k) + 2*w(k).
3*k - 1
Let o(f) = f**2 + 5*f. Suppose -8*j + 25 = -3*j. Let z(s) = -6*s + 9. Let u(k) = 3*k - 5. Let p(n) = j*z(n) + 9*u(n). Determine 3*o(m) + 5*p(m).
3*m**2
Suppose -4*k - 5*t = -43, 2*k + 23*t = 26*t + 49. Let v(l) = -l**2 + 8*l + 5. Let m(p) = 3*p**2 - 23*p - 14. Calculate k*v(a) + 6*m(a).
a**2 - 2*a + 1
Let y(h) = -h**2 - 4*h + 1. Let v(i) = -i - 1. Suppose -4*u = -4*z + 6 + 10, 4*z = 5*u + 17. Calculate u*y(f) + 3*v(f).
f**2 + f - 4
Let f(w) be the second derivative of w**5/5 + w**4/4 + w**3/2 + 2*w**2 - 46*w. Let q(m) = -3*m**3 - 2*m**2 - 2*m - 3. Let i = 14 - 20. What is i*q(v) - 4*f(v)?
2*v**3 + 2
Let g = 4 + -3. Let k be -1*g/(2/(-10)). Let w(s) = -s**3 - 6*s**2 - 4. Let i(q) = 0*q**3 + 137*q**2 - 12 - 144*q**2 + 7 - q**3. Calculate k*w(p) - 4*i(p).
-p**3 - 2*p**2
Let b(r) = -20*r**2 - 18*r + 18. Suppose 0 = 2*j + 2*q + 6, 5*q - 4 + 3 = 3*j. Let d(k) = k**2 + k - 1. Give j*b(h) - 36*d(h).
4*h**2
Let a(b) = -14*b**2 - 2*b + 47. Let o(j) = -22*j**2 - 3*j + 70. What is 8*a(s) - 5*o(s)?
-2*s**2 - s + 26
Let p(k) = -337*k. Let s(y) = 73124*y. What is -1086*p(j) - 5*s(j)?
362*j
Let d(j) = j**2 - j. Let p(g) = -40*g**2 + 35*g. Let w be (-846)/12 - 5/(-10). Calculate w*d(q) - 2*p(q).
10*q**2
Let d(p) = -7*p**3 + 11*p**2. Let w(c) = 2*c**3 - 3*c**2. Let n(r) = 2 + 7*r**3 - 11*r**2 + 29*r**2 - 17*r**2 + 2*r. Let z be n(-1). Calculate z*d(q) - 22*w(q).
-2*q**3
Let p(c) = 3*c. Suppose 2*r + r - 15 = 0. Let v = 10 - 2. Let f(y) = -2*y - 4*y + v*y. What is r*p(k) - 6*f(k)?
3*k
Let c(w) be the first derivative of w**3/3 - 215. Let l(k) = -14*k**2. Calculate 91*c(y) + 6*l(y).
7*y**2
Let d(m) = -2*m**3 + m**2 + m + 1. Let t(j) = -5*j**3 + 2*j**2 + 4*j + 38. Determine -2*d(q) + t(q).
-q**3 + 2*q + 36
Let d(u) = 6*u - 262. Let v(h) = -17*h + 787. Calculate -11*d(l) - 4*v(l).
2*l - 266
Let v(c) = -c**2 + c + 3. Let l(s) = 24*s**2 - 8*s + 11. Give l(w) - 3*v(w).
27*w**2 - 11*w + 2
Let m be (-18)/(-8) + 3/4. Let k be 3/(-2)*1/(m/(-2)). Let q(d) = d**2 - d - 1. Let o(l) = -6*l**2 + 5*l + 5. Calculate k*o(p) + 5*q(p).
-p**2
Let m(f) = -8*f**3 + 3*f**2 + 20*f - 3. Let z(i) = -17*i**3 + 7*i**2 + 41*i - 7. What is 7*m(a) - 3*z(a)?
-5*a**3 + 17*a
Let y(z) = 40*z**3 + 2*z**2 - z - 4. Let i(t) = 121*t**3 + 5*t**2 - 3*t - 11. Calculate 4*i(v) - 11*y(v).
44*v**3 - 2*v**2 - v
Let b(k) = 38*k - 9. Let c(x) = -26*x + 6. Determine -5*b(p) - 7*c(p).
-8*p + 3
Let v(g) = 6*g**3 - 8*g**2 + 3. Let z(q) = -q**3 + q**2 - 1. Suppose d - 5 = 2*f, 12 = -2*d + 4*d - 5*f. Give d*v(b) + 4*z(b).
2*b**3 - 4*b**2 - 1
Let g(h) be the third derivative of -119*h**5/60 - 49*h**4/24 - 13*h**2 - 5*h. Let p(b) = -12*b**
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{
"pile_set_name": "DM Mathematics"
}
|
Let y be h(6). What is the second derivative of -2*p - 2*p**2 - p + 11 + 8*p + y*p - 4*p wrt p?
-4
Let k(x) be the first derivative of -646*x**7/7 + x**3/3 - 56*x**2 - 1012. Find the third derivative of k(a) wrt a.
-77520*a**3
Let c(i) be the second derivative of 146*i**2 + 0*i**5 - 1/10*i**6 + 0*i**3 + 55*i + 2 + 5/4*i**4. Find the first derivative of c(o) wrt o.
-12*o**3 + 30*o
Suppose 86856 = 8*l - 25224. Find the second derivative of -11*j**2 - l*j**3 - 6*j**2 + 6*j + 14018*j**3 wrt j.
48*j - 34
Let z(k) be the first derivative of 4*k**3/3 + 13*k**2/2 + 20*k - 25. Let f(l) = -l**2 - 3. Let q(x) = 2*f(x) + z(x). Differentiate q(g) with respect to g.
4*g + 13
Suppose 0 = 5*y - 4*j + 181 - 569, -308 = -4*y + 4*j. Find the first derivative of y + 35*x + 14 + 30*x - 4*x wrt x.
61
Find the second derivative of -818*t**2 - 2380*t + 2*t**3 + 818*t**2 wrt t.
12*t
Let u(b) = -23333*b + 2561. Let p(n) = -5833*n + 619. Let o(d) = 26*p(d) - 6*u(d). What is the derivative of o(l) wrt l?
-11660
Let s(l) be the first derivative of -4*l**6 + 91*l**3/6 - 135*l + 133. Let n(k) be the first derivative of s(k). What is the second derivative of n(j) wrt j?
-1440*j**2
Let d(m) be the third derivative of -29*m**8/84 - 121*m**5/60 - 5*m**4/24 - 992*m**2. What is the third derivative of d(w) wrt w?
-6960*w**2
Let d(z) be the second derivative of 83*z + 0*z**3 + 0 - z**5 + 0*z**2 - 5/3*z**4. Find the third derivative of d(b) wrt b.
-120
Differentiate -31400 + 61536 + 4037*c - 32465 wrt c.
4037
Find the first derivative of 16*g + 6085 + 50*g**2 + 66*g**2 - g**3 + 47*g**2 - 256*g**2 - 2095 wrt g.
-3*g**2 - 186*g + 16
What is the second derivative of -6495*h - 6965*h + 11880*h - 3448*h**2 wrt h?
-6896
Let a(h) = -2378*h**2 + 1373*h + 18. Let j(k) = -140301*k**2 + 81005*k + 1071. Let f(g) = -119*a(g) + 2*j(g). Find the second derivative of f(t) wrt t.
4760
Let y(k) be the second derivative of -k + 163*k**3 - 22*k**2 - 2*k**4 - 163*k**3 + 4*k. Differentiate y(q) with respect to q.
-48*q
Let t be (-21 - -1)/(93/(-5580)). What is the third derivative of -1193*a**3 + 37*a**2 + 20*a**4 + 8*a**2 - 1 + t*a**3 wrt a?
480*a + 42
Let y(w) = -229*w**2 - 4066*w - 20. Let v(c) = 457*c**2 + 8131*c + 45. Let j(x) = 4*v(x) + 9*y(x). What is the second derivative of j(t) wrt t?
-466
Find the third derivative of -2*h - 7538*h**5 + 58*h**2 + 7537*h**5 + 408*h**3 - 382*h**2 wrt h.
-60*h**2 + 2448
Let l be 24/(-20)*(-20)/6. Let x be 1/4 - 11/(-4). What is the second derivative of 9*k - 5*k**3 - l*k**3 + 2*k**3 - 8*k**x wrt k?
-90*k
Let r(k) be the second derivative of -1997*k**4/6 + k**3/3 + 47*k**2/2 - 1966*k - 1. What is the second derivative of r(g) wrt g?
-7988
Let l(f) be the second derivative of 21 + 0*f**2 - 3*f - 15/4*f**5 - 1/3*f**3 - 1/3*f**4. What is the third derivative of l(h) wrt h?
-450
Suppose 4*q - a - 11 = 0, -q + 2 = 3*q + 2*a. Find the first derivative of -47*c**2 - 40 + 16*c**q + 22*c**2 + 11*c**2 + 163 - 47*c wrt c.
4*c - 47
Find the second derivative of -63*k**3 + 7*k**2 - 5*k**2 - 2*k**2 - 6074*k**3 - 4093*k wrt k.
-36822*k
Let k(l) be the third derivative of -5162*l**7/105 + l**5/60 - l**4/12 + 1213*l**3/6 + 55*l**2 + 41. Find the third derivative of k(a) wrt a.
-247776*a
Suppose 4*w + 1712 = 20*w. What is the derivative of w + 2021*r**3 - 1898*r**3 - 4 wrt r?
369*r**2
Let f(w) = -2*w**2 + 2*w - 1. Let g(z) = 167*z**2 - 312*z + 6. Let t(y) = -6*f(y) - g(y). Find the second derivative of t(a) wrt a.
-310
Let m(r) be the first derivative of 4459*r**3/3 - 4951*r**2 - 6708. What is the second derivative of m(s) wrt s?
8918
Let z(i) = 21 - 115*i - 8 + 118*i. Let m be z(-3). Find the third derivative of -11*d**2 - 3*d**4 + 3*d**m + 2*d**2 - 18*d**6 wrt d.
-2160*d**3
Let k(p) be the second derivative of -p**7/42 - 981*p**5/5 - p**4/12 + 3347*p**3/3 - 38*p + 6. Find the second derivative of k(v) wrt v.
-20*v**3 - 23544*v - 2
What is the third derivative of -10*r**2 + 3926*r**4 - 121*r - 9*r**2 + 119*r - 1117*r**4 - 48 + r**2 wrt r?
67416*r
Let h(y) = 3*y + 2. Let a(r) = -136*r + 117. Let q = 282 - 283. Let o(i) = q*a(i) + 6*h(i). What is the first derivative of o(l) wrt l?
154
Let l(h) be the third derivative of -13*h**5/60 - 485*h**4/24 + 3*h**2 - 14*h. Find the second derivative of l(j) wrt j.
-26
What is the first derivative of -1132 + 5851*p**3 - 2925*p**3 - 2925*p**3 + 116*p**2 wrt p?
3*p**2 + 232*p
Suppose 2*r + 5*r = -14. Let x be (-1)/r*8*6/24. Find the first derivative of -x - 5 + 5 - 3 + 4*d wrt d.
4
Let g(f) = 17*f**3 - 4*f**2 + 30*f - 951. Let y(b) = 17*b**3 - 3*b**2 + 30*b - 951. Let r(s) = -3*g(s) + 4*y(s). What is the first derivative of r(m) wrt m?
51*m**2 + 30
Let l(h) = 2*h**3 + 3820*h**2 - 4*h - 7704. Let y(d) = -6*d**3 - 7639*d**2 + 10*d + 15406. Let v(j) = -5*l(j) - 2*y(j). Find the first derivative of v(f) wrt f.
6*f**2 - 7644*f
Let w(g) be the second derivative of 3199*g**3/6 - 1095*g**2 + 1738*g. Differentiate w(i) wrt i.
3199
Let t(r) be the second derivative of 255*r**7/7 + 35*r**4/3 + r + 29. What is the third derivative of t(w) wrt w?
91800*w**2
Let o be (0 + -3 + 7)*(2 - -2). Suppose -18*l + 10*l = -o. What is the derivative of 35 + f**l + 34*f**3 - 3 - f**2 wrt f?
102*f**2
Let o = 23963 - 23963. Let p(g) be the third derivative of 3/2*g**4 + 0 + 36*g**2 + 17/3*g**3 + o*g. Differentiate p(k) with respect to k.
36
Let u(c) be the second derivative of -1/6*c**4 + 0*c**5 - 21 + 0*c**6 - 1/14*c**7 + 2*c - 1/6*c**3 - 7*c**2. Find the second derivative of u(d) wrt d.
-60*d**3 - 4
Let m(g) = 2*g**2 - 7*g - 31. Let y be m(-7). Differentiate -121*z**3 - 97 - 22*z**3 + y with respect to z.
-429*z**2
Let o(n) = 345*n**2 - 873*n + 2. Let m(z) = 685*z**2 - 1746*z + 5. Let t(b) = -4*m(b) + 10*o(b). What is the second derivative of t(a) wrt a?
1420
Let q(r) = r**3 + 2*r**2. Let l(v) = 6*v**3 + 16*v**2 + 1587*v - 5468. Let o(a) = l(a) - 8*q(a). What is the derivative of o(h) wrt h?
-6*h**2 + 1587
Let i be (-2 - (11 + -1)) + 34 + -18. Let g(s) be the first derivative of -10 + 0*s + 19/4*s**i + 5*s**3 + 0*s**2. Find the third derivative of g(t) wrt t.
114
Let z be (-16)/(-56) - 508/14. Let k = -19 - z. What is the third derivative of 9*s**2 - 10 - 1 + 11 + k*s**3 wrt s?
102
Suppose 3*t - 227 = f, -5*t + 2*f = -3*f - 395. Suppose t = 3*z - 5*u, 79 = 4*z - 3*u - 16. What is the first derivative of z - 4 + 7 + 11*n**4 + 6*n**4 wrt n?
68*n**3
Let i(s) be the first derivative of 0*s**2 - 115/3*s**3 - 136 - 13*s**5 + 0*s + 0*s**4. Find the third derivative of i(m) wrt m.
-1560*m
Let b(i) be the third derivative of -97*i**5/30 + 351*i**4 - 652*i**2 + 4. What is the second derivative of b(s) wrt s?
-388
What is the second derivative of -2*x**2 + 2*x**2 + 37327*x**3 + 2097*x - 36226*x**3 wrt x?
6606*x
Let w(h) = -3070*h**3 - 2*h**2 - 3166. Let j(t) = -6134*t**3 - 5*t**2 - t - 6333. Let b(q) = 2*j(q) - 5*w(q). What is the derivative of b(y) wrt y?
9246*y**2 - 2
Find the third derivative of -1394 + 5732*c**5 + 1392 - 508*c**2 + 5*c**3 - 249*c**2 - 5*c**3 wrt c.
343920*c**2
Suppose -4*j = -v - 169, 5*v + 189 = 4*j - 0*j. Let s = 44 - j. Differentiate 6*y**s + 405*y - 405*y - 12 with respect to y.
18*y**2
Suppose -5*s + 7 = -2*j, -6*j + 2*j = -3*s - 7. Let m(n) = 4*n - 482. Let u be m(121). Find the third derivative of -2*g**u + 56*g**4 - 11*g**2 - 21*g**j wrt g.
840*g
Let t(b) be the second derivative of 1333*b**7/21 + 1427*b**3/6 + 442*b + 1. What is the second derivative of t(w) wrt w?
53320*w**3
Find the third derivative of 4*c + 2460*c**2 - 2939*c**5 + 39*c + 36*c - 79*c wrt c.
-176340*c**2
Suppose 0 = -1666*l + 1484*l. Let q(j) be the first derivative of 0*j**4 + 0*j**3 + 24/5*j**5 - 26*j - 16 + l*j**2. Differentiate q(k) with respect to k.
96*k**3
Let x(i) = 38*i + 85. Let s(c) = -1. Suppose 3*b + 7 = -2*p, 5*b + 2*p + 3 = -6. Let t(h) = b*x(h) + s(h). Differentiate t(f) with respect to f.
-38
Find the third derivative of -519*v**5 - 6*v**2 - 533 - 642*v**5 + 7*v**2 - 192 - 12 wrt v.
-69660*v**2
What is the second derivative of -30*y**5 + 239*y**4 - 9321*y**2 + 4881*y + 9321*y**2 + 36*y**5 wrt y?
120*y**3 + 2868*y**2
Let w(z) be the first derivative of -5476*z**5/5 + 5198*z**3/3 - 5116. Find the third derivative of w(j) wrt j.
-131424*j
Let z(f) = -f**3 - 6*f**2
|
{
"pile_set_name": "DM Mathematics"
}
|
) = 3*t**2 + 602*t. What is 2*d(k) + 9*h(k)?
3*k**2 + 610*k
Let w(u) = -3*u + 62 + u**3 + 2*u - 65. Let m(q) = -1. Let o(g) = 4*m(g) - w(g). Let h(z) = 14*z**3 - 21*z + 21. What is -h(j) - 21*o(j)?
7*j**3
Let i(y) = 7*y + 3. Suppose -1 = -4*h + h - x, 15 = 3*h + 3*x. Let u(n) = -6*n - 3. Determine h*i(s) - 3*u(s).
4*s + 3
Let j(h) = -5*h**2 - 4*h. Let m(p) be the first derivative of 0*p + 1/2*p**2 - 23. Suppose -4*q + 16 = -2*c - c, 3 = -q - c. Calculate q*j(x) + 3*m(x).
-5*x**2 - x
Let m(h) = 3*h**3 + h**2 + 6*h - 2. Let l(o) = -6*o**3 - 2*o**2 - 13*o + 4. Let j = 123 + -74. Let v be 630/j - 6/(-42). Calculate v*m(d) + 6*l(d).
3*d**3 + d**2 - 2
Let w(n) = 4*n**3 + 397*n**2 + 8*n + 6. Let g(t) = 3*t**3 + 397*t**2 + 7*t + 5. Give 6*g(j) - 5*w(j).
-2*j**3 + 397*j**2 + 2*j
Let h = 120 + -76. Let c = 1109 - 1146. Let i = h + c. Let d(v) = 6*v**3 + 7*v + 10. Let o(l) = 2*l**3 + 2*l + 3. What is i*o(g) - 2*d(g)?
2*g**3 + 1
Let h(z) = 20*z + 2. Let k(a) = -115*a + 193. Give -5*h(j) - k(j).
15*j - 203
Let l(t) = -2*t - 26*t + 9 + 27*t - t + 1. Let p(i) = 1. What is l(g) + 2*p(g)?
-2*g + 12
Let x(r) = 40*r**2 + 28*r + 544. Let m(j) = -27*j**2 - 18*j - 363. Give 11*m(v) + 7*x(v).
-17*v**2 - 2*v - 185
Let o(m) = 8*m**2 + m + 2. Let c be (-8)/(-5 - -1) + 0. Let n(g) = -17*g**2 - 2*g - 4. Determine c*n(s) + 5*o(s).
6*s**2 + s + 2
Let t(a) = -a. Let q(r) = r**2 - r + 1. Let k be (-2 - -2)/(-1) - -1. Let b be (112/(-42))/(-3 - (-66)/18). Calculate b*t(m) + k*q(m).
m**2 + 3*m + 1
Let v(l) = 5*l**2 + 15*l - 15. Let p(n) be the first derivative of n**3/3 + 3*n**2/2 - 3*n + 3400. What is -11*p(t) + 2*v(t)?
-t**2 - 3*t + 3
Let w(i) = -i. Let c(x) be the third derivative of -17*x**4/4 + 692*x**2. What is -c(s) + 68*w(s)?
34*s
Let o(m) = 3*m**2 - 4*m + 2. Let p(k) = 4*k**2 - 4*k + 2. Let h be (466/5)/(2/(-10)). Let b = h + 468. Determine b*p(t) - 3*o(t).
-t**2 + 4*t - 2
Let q(g) = -3*g**2 - 5*g - 1. Let l(j) = -19*j**2 - 571*j - 4. Calculate l(r) - 4*q(r).
-7*r**2 - 551*r
Let h(y) = -y**2 + 127*y + 157. Let x(b) = 21*b + 24. Give -2*h(t) + 13*x(t).
2*t**2 + 19*t - 2
Let c(m) = 2. Let h(g) = -3*g - 3. Let j = -4076 - -4078. Determine j*c(t) + 2*h(t).
-6*t - 2
Let j(t) = -13389*t - 6. Let p(f) = 13391*f + 9. Determine -3*j(r) - 2*p(r).
13385*r
Let q(n) = -4*n - n - 2 - 3*n. Let v(p) = -9*p - 2. Let j be (-25 - -8) + -21 + 35. Give j*v(r) + 4*q(r).
-5*r - 2
Let v(c) = 8*c - 10. Suppose 4*n + 11 = 5*l, 3*l + 1019 = -3*n + 1058. Let u(k) = -k + 1. Determine n*u(s) + v(s).
2*s - 4
Let l(w) = 3*w**2 + 12*w - 6. Let h(i) = -10*i**2 - 40*i + 18. What is 5*h(j) + 16*l(j)?
-2*j**2 - 8*j - 6
Let t(f) = 2. Let y(k) = 7*k - 120. Calculate 7*t(o) + y(o).
7*o - 106
Let l(j) = -6*j**3 + 5*j**2 + 2*j + 4. Let p(n) = 6*n**3 + n**2 - 19*n - 11. Let q(m) = -m**3 - m**2 + 6*m + 3. Let r(d) = -p(d) - 3*q(d). Give 2*l(a) - 5*r(a).
3*a**3 - a - 2
Let w(c) = -c + 2. Suppose -3 = 3*z, -11 + 4 = -2*u - z. Let x(k) = 19*k - 10. Let b(f) = -41*f + 21. Let s(q) = 6*b(q) + 13*x(q). What is u*s(g) + 7*w(g)?
-3*g - 2
Let l(s) = -26*s. Let z(q) = -51*q - 116. What is 2*l(d) - z(d)?
-d + 116
Let h(u) = u**2 - 305*u - 1239. Let b be h(-4). Let c(x) = 51*x**3 + 8*x**2 + 8*x - 8. Let l(m) = 17*m**3 + 3*m**2 + 3*m - 3. Give b*c(z) + 8*l(z).
-17*z**3
Let k(c) be the third derivative of c**4/6 - 4*c**3/3 + 157*c**2 - 2*c + 1. Let a(j) = 3*j - 5. Give 7*a(w) - 5*k(w).
w + 5
Let u(r) = -2*r + 14811. Let w(t) = 8*t - 59213. Determine -9*u(s) - 2*w(s).
2*s - 14873
Let g(b) = 2*b**2 + b + 12. Let f be ((-3)/((-15)/1))/((-9)/(-45)). Let s(t) = -t**2 - 1. Give f*g(d) + 4*s(d).
-2*d**2 + d + 8
Let w(q) = 12*q**2 + 49*q + 16. Let o be w(-21). Let g(n) = -4285*n + 4 - 9 + o*n. Let p(k) = -k - 1. What is g(d) - 4*p(d)?
-2*d - 1
Let z(v) = -v**2 - 1. Let y(f) = f**3 - f**2 - 1. Let q = 51 - 52. Let l be -40 + 40 - (-3 - (0 + q)). Calculate l*z(n) - 2*y(n).
-2*n**3
Let a(y) = 4 + 0 - 3 - y**3 - y. Let z be 5 + (-7 - -5) + -1. Let k(r) = -70 - 78 + 150 - 2*r + r**z - 5*r**3. Determine -2*a(j) + k(j).
-3*j**3 + j**2
Let n(o) be the second derivative of o**5/4 - 7*o**4/12 + 7*o**3/6 - 1995*o. Let t(g) = -g**3 + g**2 - g. Calculate 2*n(d) + 14*t(d).
-4*d**3
Let d(i) = 4. Let w(k) = -34*k + 88. Calculate 132*d(y) - 6*w(y).
204*y
Let n(m) = -m**3 - 2*m**2 - m - 1. Let z(d) = 2*d**3 - 336*d**2 + 5*d + 5. What is -5*n(c) - z(c)?
3*c**3 + 346*c**2
Let t(c) = -3275*c**3 - 57*c**2 - 3*c + 1. Let m(b) = 3275*b**3 + 76*b**2 + 4*b - 2. Calculate -3*m(a) - 4*t(a).
3275*a**3 + 2
Let w(f) = 17*f - 16. Let n(b) = 20*b - 19. Give 3*n(h) - 2*w(h).
26*h - 25
Let b = 151 - 157. Let u(a) = -a - 1. Let m be u(b). Let v(x) = -2*x. Let q(s) = -3*s + 1. Determine m*v(f) - 3*q(f).
-f - 3
Let v(q) = 2*q**3 - 3*q**2. Let s = 10 - 11. Let n be 3 + s/(2/8). Let m = 376 + -379. Let t(p) = p**2. Determine m*t(c) + n*v(c).
-2*c**3
Let l(f) = -6*f**2 + 3*f - 14. Let d(s) = -4*s**2 + 11*s + 17. Let k(u) = -10*u**2 + 26*u + 38. Let j(z) = 7*d(z) - 3*k(z). Give -17*j(b) - 6*l(b).
2*b**2 - b - 1
Let q(c) = -c**2. Let x be (-4512)/768 + (-2)/16. Let i(r) = 23*r**2. What is x*q(n) + i(n)?
29*n**2
Let l(p) = p - 9. Let f(d) = -9965*d - 54. Calculate f(s) - 6*l(s).
-9971*s
Let d(u) = -5*u**2 - 4*u + 146. Let j(i) = 3*i**2 + 3*i - 146. Give 2*d(c) + 3*j(c).
-c**2 + c - 146
Let b(f) = 41*f + 38. Let n(p) = -4*p + 9. What is -2*b(v) - 18*n(v)?
-10*v - 238
Let b(y) = -1. Let c(g) be the third derivative of 11*g**4/24 + 2*g**3/3 - 16502*g**2 - 1. Let n = 1 + -5. What is n*b(a) - c(a)?
-11*a
Let l(x) = -323*x**2 + 4*x + 1. Let t(p) = -970*p**2 + 14*p + 4. Calculate 7*l(k) - 2*t(k).
-321*k**2 - 1
Let y(m) = 13*m**3 - 9*m**2 - 7*m + 1. Let j be ((-7)/((-28)/(-16)) - 18/(-6)) + 3. Let c(d) = -4*d**3 + 3*d**2 + 2*d. Determine j*y(r) + 7*c(r).
-2*r**3 + 3*r**2 + 2
Let w(j) = -63*j + 59. Let f(r) = 55*r - 59. What is 6*f(v) + 5*w(v)?
15*v - 59
Let u(w) = 5*w**3 - w + 1. Let s(i) = -133*i**3 + 2. Calculate s(x) - 2*u(x).
-143*x**3 + 2*x
Let o = -43090 + 43094. Suppose n - 5*d = -7, -4*n = 2*d - 10 - 6. Let i = -2 + n. Let r(a) = -a - 1. Let y(l) = 8*l + 5. Calculate i*y(z) + o*r(z).
4*z + 1
Let i(h) = -h**2 + 43*h - 53. Let l(g) = g**2 - 72*g + 106. Determine -5*i(a) - 3*l(a).
2*a**2 + a - 53
Let g(q) = -8*q**3 - 5*q + 5. Let u(v) = 12*v**3 + 8*v - 8. Let t be 2 + (-3 - -6) + -2. Suppose -8 = -t*b + 2*b. Let a = 1334 - 1329. Give a*u(j) + b*g(j).
-4*j**3
Let v(z) = -z - 2. Let c(d) = d + 2. Let n(w) = -5*c(w) - 4*v(w). Suppose -19*k + o = -17*k + 2, 13 = k - 4*o. Let a(i) = -1. Determine k*a(x) + 2*n(x).
-2*x - 1
Let x(y) = -5*y - 1. Let r(b) be the second derivative of -11*b**3/6 - b**2/2 + b. Suppose -106*d + 72 + 533 = -31. What is d*r(u) - 13*x(u)?
-u + 7
Let s(d) = -2*d**2 - 7*d. Let o(u) = u**2 + 9*u - 1. Determine 4*o(y) + 5*s(y).
-6*y**2 + y - 4
Let a(w) = -4*w + 11. Suppose 131*c - 286 = -155*c. Suppose -5*b - 3*p = -0*p - 30, 11 = -3*b + 4*p. Let h(q) = q. What is b*h(v) + c*a(v)?
-v + 11
Let n(h) = 21*h**3 + 2*h - 7. Let x(v) = -v**3 + 5*v + 12*v**3 + 52 - 4*v - 55. Determine -3*n(k) + 7*x(k).
14*k**3 + k
Let f(r) = 2*r**2 - 3*r. Let m(b) = -9*b**2 + 13*b. Let u = -619 + 608. Let h be (-3 - -3) + -2 - (u - -15). What is h*m(d) - 26*f(d)?
2*d**2
Let q(k) = -6*k**2 + 2*k**2 - k - 3 + 10*k**2 + 1. Let j(b) = -b**3 + 31*b**2 - 6*b - 11. Calculate 2*j(c) - 11*q(c).
-2*c**3 - 4*c**2 - c
Let y(q) = -q + 1. Let k(o) be the third derivative of o**5/60 - o**4/8 + o**3/2 + 6493*o**2. Give k(b) - 2*y(b).
b**2 - b + 1
Let s(u) = -59830*u - 1209. Let n(i) = -893*i - 18. Give 403*n(x) - 6*s(x).
-899*x
Let w(l) = l + 4. Let q(n) be the first derivative of -8*n + 4*n + 2*n + 10*n - 30 + n**2. What is -4*q(f) + 9*w(f)?
f + 4
Let b(f) = -39*f - 35. Let s(x) = -28*x - 34. What is -6*b(q) + 5*s(q)?
94*q + 40
Let i(x) = -13*x + 4. Let l(r) = 30*r - 5. What is -7*i(a) - 3*l(a)?
a - 13
Let a(s) = 21 + 11*s + 12*s - 30*s + 11*s. Let b(x) = 3*x + 14. Calculate -5*a(p) + 7*b(p).
p - 7
Let v(r) = -2326*r**3 - 17*r - 11. Let z(f) = 465*f**3 + 3*f + 2. What is 4*v(b) + 22*z(b)?
926*b**3 - 2*b
Suppose -1425 = -f - 4*f. Let l = 286 - f. Let w(r) = r**3 - r**2 + r. Let g(c) = 5*c**3 - 2*c**2 + 2*c + 2. Calculate l*g(s) - 2*w(s).
3*s**3 + 2
Let u(i) = -9*i + 4. Let m(z) = -2*z + 5. Determine
|
{
"pile_set_name": "DM Mathematics"
}
|
3584461 wrt d?
61452336*d**2
Differentiate -400767*a**2 - 6*a + 502957122.
-801534*a - 6
What is the second derivative of 429164173*f**5 + 8168492*f?
8583283460*f**3
Find the second derivative of 4953*k**3*l + 4623*k**2*l - k**2 - 13*k*l + 23292423*k wrt k.
29718*k*l + 9246*l - 2
Find the first derivative of 79921883*i + 34158786.
79921883
Differentiate 839533767*f**3 + 66106675 wrt f.
2518601301*f**2
What is the second derivative of -4*w**3 + 1067624*w**2 + 5513*w + 507 wrt w?
-24*w + 2135248
Find the first derivative of 24*g**2*v + 461430*g*v**3 - 2*v**3 - 14850566*v + 2 wrt g.
48*g*v + 461430*v**3
What is the first derivative of 3*k*u**3 + 3806145*k*u + 6496762*k wrt u?
9*k*u**2 + 3806145*k
What is the third derivative of -119*o**5*x**3 - 32876*o**5 + 3*o**2*x**3 + 12*o**2*x + 3374*o**2 wrt o?
-7140*o**2*x**3 - 1972560*o**2
What is the second derivative of 239304029*i**4 - 106411111*i - 3 wrt i?
2871648348*i**2
What is the first derivative of 89500*w**3 - 3*w**2 + 4276571?
268500*w**2 - 6*w
Find the second derivative of 34717430*t**4 - 5*t - 1163313.
416609160*t**2
What is the third derivative of -18255102*j**3 - 14*j**2 - 98*j - 109 wrt j?
-109530612
What is the second derivative of -25261500*u**3 + 6*u - 180116?
-151569000*u
Find the third derivative of -81726524*u**3*v**2 + 1742106*u**2*v**2 + u wrt u.
-490359144*v**2
Find the third derivative of 729*g*q**5 - 689*g*q**2 - 87*g*q + g - 46754*q**5 - 2*q**2 - 1 wrt q.
43740*g*q**2 - 2805240*q**2
What is the second derivative of 106181719*b**2 + 3*b + 24434236 wrt b?
212363438
Find the third derivative of 175*g*o**3 + 2*g*o**2 - 1168*g + 4375*o**3 - 22*o**2 + 61*o + 1 wrt o.
1050*g + 26250
Differentiate 723281151*z + 660487878.
723281151
What is the second derivative of -7*v**4 + 8*v**3 + 1647*v**2 - 224*v - 20838?
-84*v**2 + 48*v + 3294
Find the second derivative of -18760917*q**2 - 1857156*q wrt q.
-37521834
What is the derivative of 839*k*u**2 + 6503042*k - 4324*u**3 wrt u?
1678*k*u - 12972*u**2
Differentiate -47181*f*y + 208*f + 192493805*y wrt f.
-47181*y + 208
What is the derivative of 623694399*a*k + 114505328*a wrt k?
623694399*a
What is the third derivative of -3*b**4*g - 3087*b**4 + 34535*b**3*g - b**2*g + 234130447*b**2 + b*g - 1 wrt b?
-72*b*g - 74088*b + 207210*g
Find the first derivative of -22941110*s**4 - 31295006 wrt s.
-91764440*s**3
Find the first derivative of 30788646*q + 461620472.
30788646
What is the third derivative of -13*k**6 + 9218344*k**4 + 224781786*k**2?
-1560*k**3 + 221240256*k
What is the first derivative of 64*c**2 - 792930*c + 22375758 wrt c?
128*c - 792930
Differentiate 399*g**2 + 75307*g + 73556635.
798*g + 75307
Find the first derivative of -2*a**4 + 129188331*a**2 - 153136304.
-8*a**3 + 258376662*a
Find the second derivative of -2*k**3 - 5814978*k**2 - 331048*k + 10 wrt k.
-12*k - 11629956
What is the second derivative of 91398*l**5 - l**3 + 204*l**2 - 81484652*l wrt l?
1827960*l**3 - 6*l + 408
What is the second derivative of 8252800*l**3 - 226380*l - 32?
49516800*l
What is the third derivative of -3185604*g**3 - 2*g**2 - 14478419*g wrt g?
-19113624
What is the third derivative of 912351325*m**5 - 87328167*m**2 wrt m?
54741079500*m**2
What is the second derivative of -3834349*k**2*y**2 + 13*k**2*y - k**2 - 9*k*y**2 - 2*k*y - 1177337*k + 2*y**2 - y + 1 wrt k?
-7668698*y**2 + 26*y - 2
Find the second derivative of -146*c**4 - 881*c**3 - 2*c**2 + c + 23861862 wrt c.
-1752*c**2 - 5286*c - 4
What is the third derivative of 389*g**4*t**2 + 129*g**4 + 789*g**3 - 2*g**2*t**2 + 8967788*g**2*t - 6*g*t**2 - 2*g*t wrt g?
9336*g*t**2 + 3096*g + 4734
Find the first derivative of 30398*r**3*w**2 - 94145*r**3 - 251*r**2*w**3 - 1544*r wrt w.
60796*r**3*w - 753*r**2*w**2
What is the derivative of 3*r**2*v - 5991701*r**2 + r*v + 2883969*v + 13 wrt r?
6*r*v - 11983402*r + v
What is the second derivative of 9*p**4 - 463*p**3 - 18*p**2 + 6343307*p wrt p?
108*p**2 - 2778*p - 36
What is the third derivative of -5773808*q*t**3*u*y + 5*q*t**2*u*y - q*t**2*u + 41*q*y + 39*t*u*y - 16*t*y wrt t?
-34642848*q*u*y
What is the first derivative of -524556514*l**4 + 192736622 wrt l?
-2098226056*l**3
What is the third derivative of 21419604*c**4 + 17*c**2 + 183*c + 345 wrt c?
514070496*c
What is the first derivative of 140492055*l**2 - 98666664?
280984110*l
Differentiate d*r**2 + 6*d*r + 111874*d + 2979*r**2 + r - 114 wrt r.
2*d*r + 6*d + 5958*r + 1
What is the third derivative of 25136248*n**3*x**3 + 106031509*n**2*x - x**3 wrt n?
150817488*x**3
What is the third derivative of -3*g*v**5 - 5268276*g*v**3 - 4*g*v**2 + 5*g*v - 5*g - v**2 + 13*v - 2 wrt v?
-180*g*v**2 - 31609656*g
Find the third derivative of -38815032*l*z**3 - l*z**2 - 2*l*z - 63798*l - 6*z**2 wrt z.
-232890192*l
What is the second derivative of -1513*u**4 - 848*u**3 + 31198066*u wrt u?
-18156*u**2 - 5088*u
Differentiate -1559*g**2 - 13889*g - 37683860 wrt g.
-3118*g - 13889
What is the derivative of 1705706*i**2*p - 2*i**2 - 2*i*p + 81084*i - p - 7 wrt p?
1705706*i**2 - 2*i - 1
What is the second derivative of 13766579*b**2 - 6281779*b?
27533158
Differentiate -2*b**2*j - 1143*b**2 - 281*b - 3050962*j + 6 with respect to j.
-2*b**2 - 3050962
What is the second derivative of n**4 + 6*n**3 + 4440*n**2 - 3921354*n?
12*n**2 + 36*n + 8880
Find the second derivative of -31428375*f**4 + 2*f - 12446439.
-377140500*f**2
What is the derivative of -32920*c**2 + 9275*c - 702793953 wrt c?
-65840*c + 9275
What is the second derivative of 10201738*f**2 + 1264612*f wrt f?
20403476
Find the first derivative of 4171448*j**3 + 4622996 wrt j.
12514344*j**2
What is the second derivative of 5501*r**3 + 1075*r**2 + 768263*r + 1?
33006*r + 2150
Find the second derivative of -2942*i**2*p - 484*i**2 - 380*i*p + 15*i + 129*p wrt i.
-5884*p - 968
What is the first derivative of -25601823*x**2 + 46863330?
-51203646*x
What is the first derivative of 3121336*f + 5347314 wrt f?
3121336
Find the second derivative of -68*f*j**3 - 1151*f*j**2 + 2*f*j + 6*f + 15*j**3 - 2*j - 14050 wrt j.
-408*f*j - 2302*f + 90*j
Find the second derivative of -230*o**3*t**2 - 538*o**3 + 91147*o**2*t**2 + 40143*o**2*t + o*t**2 wrt t.
-460*o**3 + 182294*o**2 + 2*o
Find the third derivative of 4326336*x**5 - 1882674*x**2 wrt x.
259580160*x**2
Find the first derivative of -37291416*c**4 - 24803293 wrt c.
-149165664*c**3
What is the third derivative of 8169*d**3*t**2 + 150*d**3*t + 3*d**3 + 4*d**2*t**2 + 9*d**2*t - 1020*d**2 - 21*d*t wrt d?
49014*t**2 + 900*t + 18
Find the second derivative of 25866*h**2*s**3 + 94484*h**2*s + 1281*h*s**4 - 538*h*s wrt s.
155196*h**2*s + 15372*h*s**2
Find the third derivative of -5*p**3*x**2 - 5*p**3*x - 778645*p**3 - 6*p**2*x**2 + 2*p**2*x - 150463*x wrt p.
-30*x**2 - 30*x - 4671870
What is the second derivative of -140270283*k**2 - 231980259*k wrt k?
-280540566
Find the third derivative of 10066635*l**5*r - 2*l**4*r - 4711*l**2 + 10210*l*r wrt l.
603998100*l**2*r - 48*l*r
What is the second derivative of 5*w**3*z**2 + 2*w**2*z + 2141490*w**2 + 87344*w*z**2 - 19*w*z wrt w?
30*w*z**2 + 4*z + 4282980
What is the second derivative of -3*q*v**3 + 55*q*v - 11989*q - 6*v**3 - 442514*v**2 wrt v?
-18*q*v - 36*v - 885028
What is the third derivative of -1189*a*q**2*t**3 - 2743*a*q*t**3 + a*q*t**2 + a*q - 2*a*t + 4*q**2 - 10494*q + 23 wrt t?
-7134*a*q**2 - 16458*a*q
What is the third derivative of -4*p**5 - 677847*p**4 + 28*p**3 - 4*p**2 + 99335711?
-240*p**2 - 16268328*p + 168
Find the third derivative of -9381490*x**4 + 7304632*x**2.
-225155760*x
Find the third derivative of -58*h*j*p**2 + 4*h*j + 810272*h*p**3 + h*p**2 + 233*h*p + j*p**5 + j*p**3 - 2*j*p**2 wrt p.
4861632*h + 60*j*p**2 + 6*j
Find the second derivative of -178*t*w*y**2 + 2415238*t*w*y + 2*t*y + 67*w*y**2 - 64*y**3 wrt y.
-356*t*w + 134*w - 384*y
Find the second derivative of 478742294*g**5 - 314*g - 238796.
9574845880*g**3
What is the second derivative of 270262009*g**3 + 3*g - 8706837 wrt g?
1621572054*g
What is the third derivative of 85046543*o**6 + 111*o**2 + 1254*o + 20?
10205585160*o**3
What is the first derivative of -3469*k**2 + 133*k + 3371832?
-6938*k + 133
Find the second derivative of -407938*d**2*g**3 - 8*d**2*u**2 + 3*d*g**3*u + 213434*g**2*u**2 wrt d.
-815876*g**3 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
*t - 2
Let t(q) = -q + 364. Let k(s) = -s + 362. Determine 3*k(d) - 2*t(d).
-d + 358
Let w(s) be the third derivative of -3*s**5/20 - s**4/8 - 5*s**3/6 - 2*s**2 + 56*s + 6. Let v(f) = -4*f**2 - f - 3. Calculate 5*v(p) - 2*w(p).
-2*p**2 + p - 5
Suppose 2*p + 15*f + 10 = 10*f, 7*f = -5*p - 3. Let j(x) = 4*x**3 + 13*x + 2. Let c(s) = -9*s**3 - s**2 - 25*s - 5. Determine p*j(u) + 2*c(u).
2*u**3 - 2*u**2 + 15*u
Let i(d) = 3*d**2 + d - 3. Let a(j) be the first derivative of 2*j**3/3 + j**2/2 - 4*j + 853. Calculate -3*a(w) + 4*i(w).
6*w**2 + w
Let z(r) = -r**2 + r - 2. Let g(h) be the third derivative of -h**6/120 - h**5/20 + h**4/12 - 2*h**3/3 - 4960*h**2. Give 2*g(f) - 5*z(f).
-2*f**3 - f**2 - f + 2
Suppose 56*b - 60*b + 44 = 0. Let h(u) = -3 + b - 7. Let f(i) = -3*i - 6. Let y(w) = -5*w - 9. Let x(d) = -8*f(d) + 5*y(d). What is 4*h(l) - x(l)?
l + 1
Let j(m) = 18*m**2 + 2. Let l(r) = 7*r**2 + 13*r - 19. Let i(p) = -13*p**2 - 24*p + 35. Let g(u) = 6*i(u) + 11*l(u). Calculate -2*g(t) + j(t).
20*t**2 + 2*t
Let n(g) = g - 1975. Let u(m) = m - 1989. What is -5*n(s) + 6*u(s)?
s - 2059
Let t(r) = 3362*r**3 + 19*r + 4. Let f(v) = -5044*v**3 - 26*v - 6. Calculate -5*f(i) - 7*t(i).
1686*i**3 - 3*i + 2
Let x(z) be the first derivative of -55*z**3 + 12*z**2 - 3502. Let j(k) = -33*k**2 + 5*k. Calculate -24*j(q) + 5*x(q).
-33*q**2
Suppose -28*t = -t + 6*t - 726. Let p(u) = 3*u**3 + 11. Let h(d) = -14. Let b(m) = 5. Let k(r) = 17*b(r) + 6*h(r). Give t*k(i) - 2*p(i).
-6*i**3
Let u(l) = 40*l - 129*l + 1 - 3*l**2 - 6*l**2 + 41*l + 39*l. Suppose 2*o + 24 = -2*o. Let y(g) = -8*g**2 - 5*g + 3*g - 1 - 6*g + 2. What is o*u(t) + 7*y(t)?
-2*t**2 - 2*t + 1
Let b(s) = -s**2 + 5217*s + 3. Let z(k) = -1747*k - 1. What is -2*b(y) - 7*z(y)?
2*y**2 + 1795*y + 1
Let r(v) = -504*v - 430. Let t(s) = 101*s + 93. Calculate -3*r(c) - 14*t(c).
98*c - 12
Let a(o) = 7*o**3 - 14*o**2 + 3*o - 4. Let z(r) = -r**3 + r**2 - r + 1. Suppose -11*h + 91991 = 92035. What is h*z(f) - a(f)?
-3*f**3 + 10*f**2 + f
Let m(a) = 110*a**3 - 6*a**2 + 7*a - 8. Let t(p) = 330*p**3 - 17*p**2 + 19*p - 22. Give 8*m(v) - 3*t(v).
-110*v**3 + 3*v**2 - v + 2
Let o(x) = -1044*x**2 + 3*x - 6. Let s(q) = 3133*q**2 - 11*q + 19. Give 13*o(h) + 4*s(h).
-1040*h**2 - 5*h - 2
Let b(m) = 4483*m - 68. Let q(p) = -44832*p + 714. Determine -21*b(r) - 2*q(r).
-4479*r
Let o(a) = -3*a + 3*a - 2794*a**2 + 2795*a**2. Let c(j) = -j**3 + 4*j**2. Let p(g) = 4*g + 45. Let s be p(-11). Calculate s*c(d) - 4*o(d).
-d**3
Let r(q) = -18*q + 2. Let o(l) = -l. Let a = -11117 - -11115. What is a*o(d) + r(d)?
-16*d + 2
Let i(t) = 5*t + 7. Let o(v) = 7*v + 11. Suppose -6*k = -42*k - 38*k + 592. Give k*i(z) - 5*o(z).
5*z + 1
Let k(v) be the second derivative of -v**3/2 - 2*v**2 - 16*v + 39. Let r = -18 + 11. Let n(p) = 4*p + 6. Calculate r*k(c) - 5*n(c).
c - 2
Let b(g) = -g**2 - 8*g + 7. Let y(h) = 4*h**2 + 4*h - 9. Let j(z) = 9*z - 26*z**2 - 17 + 9*z**2 + 24*z**2. Let n(x) = 3*j(x) - 5*y(x). What is -4*b(r) - 5*n(r)?
-r**2 - 3*r + 2
Let s = -130 + 131. Let w be -5 + (5/1 - s). Let z(h) = 6*h**3 + 3*h - 3. Let q(o) = -o**3 - o + 1. Determine w*z(j) - 3*q(j).
-3*j**3
Let p(s) = -11*s**3 + 4477*s**2 - 17*s + 402. Let r(v) = -4*v**3 + 1493*v**2 - 6*v + 142. What is 6*p(a) - 17*r(a)?
2*a**3 + 1481*a**2 - 2
Let o(f) = 2*f**2. Let x(p) = -2*p**2 - p - 1. Let j be x(-1). Let d = -14612 + 14606. Let w(y) = -7*y**2. What is d*o(q) + j*w(q)?
2*q**2
Let b(w) = -80*w**2 - 2*w - 9. Let i(s) = 38*s**2 + s + 4. What is 4*b(p) + 7*i(p)?
-54*p**2 - p - 8
Suppose -3*r + 36 - 24 = 0. Let l(b) = -b**2 + 6*b + 2. Let a(x) be the third derivative of x**5/60 - 5*x**4/24 - x**3/6 - 194*x**2. Calculate r*l(o) + 5*a(o).
o**2 - o + 3
Let p(l) = -13*l**3 - 13*l**2 - 9*l + 37. Suppose -5*g - 67*g = 21*g + 837. Let k(m) = -3*m**3 - 3*m**2 - 2*m + 9. What is g*k(j) + 2*p(j)?
j**3 + j**2 - 7
Let q(i) = 3*i**3 + 2*i**2 + i. Let h(f) = -17*f**3 - 11*f**2 - 4*f - 769. What is h(j) + 5*q(j)?
-2*j**3 - j**2 + j - 769
Let h(c) = 15*c**2 - 7*c - 6. Let z(a) = -5*a**2 + 2*a + 2. Let l be -26*(-15)/(-30) - 40/(-2). Determine l*z(d) + 2*h(d).
-5*d**2 + 2
Let j(h) = 7*h**2 - 7*h + 5. Let w(q) = q**3 - 7*q**2 - 1. Let y be w(7). Let u = y - -1. Let b(o) = o**2 + 65*o + u*o**2 + 1 - 66*o. Give 6*b(z) - j(z).
-z**2 + z + 1
Let n(c) = 64*c**3 - 9*c**2 + 396. Let y(m) = 16*m**3 - 2*m**2 + 79. What is 3*n(l) - 14*y(l)?
-32*l**3 + l**2 + 82
Let j(h) = -75*h**3 + 5*h + 3. Let o(g) = 226*g**3 - 17*g - 10. Determine -7*j(z) - 2*o(z).
73*z**3 - z - 1
Let k(i) = 5*i**3 - 16*i**2 - 6*i + 11. Let v(t) = -13*t**3 + 45*t**2 + 17*t - 34. What is -17*k(f) - 6*v(f)?
-7*f**3 + 2*f**2 + 17
Let j(q) = -q**3 + 15*q**2 + 21*q - 9. Let b(h) = -7*h**2 - 10*h + 4. Give -13*b(k) - 6*j(k).
6*k**3 + k**2 + 4*k + 2
Let t(n) = -10*n - 2. Let a(q) = 220*q + 45. Let l be 30/((8 - -3)/(-33)). What is l*t(i) - 4*a(i)?
20*i
Let r(p) = -4251*p - 2. Let q(n) = 8503*n + 5. Determine 2*q(z) + 5*r(z).
-4249*z
Let k(w) = -w**2 + 5. Let c(x) = 3*x**2 + x - 11. Let s(h) = 126*h + 507. Let v be s(-4). Determine v*c(p) + 7*k(p).
2*p**2 + 3*p + 2
Let p(b) be the first derivative of b**4/4 - 2*b**3/3 - b**2 - 14. Let f(c) = 4*c**3 - 7*c**2 - 7*c. Suppose -4*v - 48 = -32. What is v*f(t) + 14*p(t)?
-2*t**3
Let j(z) = 27*z - 5. Let b(t) be the first derivative of 189*t**2/2 - 36*t + 835. Calculate 5*b(p) - 36*j(p).
-27*p
Let y(i) = 17*i - 198. Let r(h) = -15*h + 176. Let x(n) = 9*r(n) + 8*y(n). Let k(f) = 11*f**2 + 2*f - 2. Calculate -k(s) + 3*x(s).
-11*s**2 + s + 2
Let z(i) = i**3 - 2*i**2 + 8*i - 175. Let p(v) = 10*v**3 - 21*v**2 + 81*v - 1750. Determine 2*p(a) - 21*z(a).
-a**3 - 6*a + 175
Let v(a) = 6*a**2 - 12*a + 5. Let k(y) = -7*y**2 + 4*y - 4. Calculate 5*k(c) + 4*v(c).
-11*c**2 - 28*c
Let r(c) = -5*c + 24. Let p(h) = -20*h + 10*h + 8*h + 8. Let f be (-18)/243 + (8 - (-747)/243). Calculate f*p(u) - 4*r(u).
-2*u - 8
Let n(f) = -9*f - 13. Suppose 0 = -23*w + 33*w + 30. Let x(m) = -6*m**3 + 2*m**2 - 2*m + 1. Let t be x(1). Let r(l) = 5*l + 7. Determine t*r(k) + w*n(k).
2*k + 4
Let g(n) = 90*n - 108. Let k(p) = -30*p + 42. Give 3*g(t) + 8*k(t).
30*t + 12
Let g(x) = -2*x. Let d(z) = 8*z + 1315. Calculate d(t) + 5*g(t).
-2*t + 1315
Let c(t) = 15*t**3 - 2*t**2 - 36*t + 9. Let b(p) = -p**3 + 4*p - 1. Let f(n) = -10*b(n) - c(n). Let d(s) = -s**3 + s**2. What is -4*d(y) + f(y)?
-y**3 - 2*y**2 - 4*y + 1
Suppose 0 = 5*m + 5*v, 48*v = 5*m + 45*v + 40. Let z(r) = -11*r**3 + 7*r**2 + 3*r - 7. Let q(x) = 7*x**3 - 5*x**2 - 2*x + 5. Give m*z(g) - 7*q(g).
6*g**3 - g
Let m(x) = -17*x**2 - 2*x - 17. Let d(o) = -12*o**2 - 2*o - 12. Let h(f) = 7*d(f) - 5*m(f). Let t(l) = 2*l**2 - 9*l + 1. Calculate -5*h(b) + 2*t(b).
-b**2 + 2*b - 3
Let y(q) = -27*q. Let i(n) = -14*n. Let f be 98/(-245) + 5236/(-10). Let d = f - -519. What is d*i(o) + 3*y(o)?
-11*o
Let q(m) be the first derivative of 9*m**2/2 + 3*m - 1627. Let x(b) = -b. Give q(y) + 2*x(y).
7*y + 3
Let j(c) = 11976*c. Let b(k) = 81*k. Give 6*b(l) + j(l).
12462*l
Let h(d) = 23*d**2 - d. Let c(v) = -2508*v**2 - 66*v. Calculate 2*c(w) - 132*h(w).
-8052*w**2
Let h(g) = -g + 10. Let x(z) = -461*z + 51. Calculate -5*h(v) + x(v).
-456*v + 1
Let t(l) = -4*l. Let p(x) = 11*x - 196. What is -p(d) - 3*t(d)?
d + 196
Let z(s) = -783*s**2 - 6*s + 2. Let d(y) = -2145420*y**2 - 16443*y + 5481. Let n(r) = 6*d(r) - 16443*z(r). Let o(m) = -25*m**2. Calculate -2*n(q) - 189*o(q).
27*q**2
Let h(y) = 5417*y - 2491*y - 2716*y. Let w(l) = -19*l. Determine 5*h(s) + 56*w(s).
-14*s
Let w(j) = -53*j**2 + 3*j - 14. Let z(x) = 114*x - 6253. Let q be z(55). Let k(i) = -18*i**2 + i - 5. What is q*k(f) - 6*w(f)?
12*f**2 - f - 1
Let a(s) = 15*s**2 + 91*s. Let u(k) = -k**2 + k. Give a(n) + 2*u(n).
13*n**2 + 93*n
Let w(r) = -13*r - 128. Let l(s) = -34*s - 385. Determine 3*l(b) - 8*w(b).
2*b - 131
Let h(a) = 211*a + 219*a + 226*a + 1 - 878*a + 221*a. Let g(c) = -3*c**2 - 7*c - 7. What is -g(s) + 6*h(s)?
3*s**2 + s + 13
Let h(x) = 4*x**2 + 3*x + 2. Let i(t) = -362*t - 3255. Let g be i(-9). Let r(w) = -w**2 - 1. Determine g*r(v) + h(v).
v**2 + 3*v - 1
Let v = -15701 - -15704. Let k(h) = 13*h + 5. Let d(t) = 7*t + 3. Calculate v*k(p) - 5*d(p).
4*p
Let o(q) = q - 3. Let c(j) = 2*j - 8. Let d(x) = x**2. Let n(m) = -3*m**2 + 24*m + 83. Let p(l) =
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{
"pile_set_name": "DM Mathematics"
}
|
2 - 13) to m*d + y and give m.
98
Rearrange 2*o**3 + 11*o**3 + 60*o**2 - 60*o**2 - 6 - 6*o**3 to the form y*o**3 + k*o + l + w*o**2 and give y.
7
Rearrange -2*z**2 + 106*z**3 + 5*z - 5*z - 66*z**3 to the form l + y*z + q*z**2 + w*z**3 and give q.
-2
Express 1 - 29*n**2 + 17*n**2 - 7*n + 11*n**2 in the form r*n + z*n**2 + w and give r.
-7
Rearrange -3*h**4 + 8 + 1621*h**2 + h**3 + 0*h**3 - 1619*h**2 + 0*h + 0*h to q*h**4 + n*h + y + g*h**3 + z*h**2 and give z.
2
Express 4*j**3 + 82*j - 4 - 84*j + 2 as x*j**3 + g*j**2 + n*j + v and give x.
4
Rearrange (0 + 0 + 2*z)*(-4 - 4 + 6) + (3 - 6 - 2)*(-54*z + 166 - 166) to s + f*z and give f.
266
Express (-4*b - 9*b + b)*((-b - 5*b + 5*b)*(b - b - b) + 1 - 1 + 2*b**2) as i + t*b**2 + l*b**3 + a*b and give i.
0
Rearrange 167*h**2 - 331*h**2 + 24 - 23 + 166*h**2 + 205*h to the form f*h + w + p*h**2 and give w.
1
Express -27*l + 2 + 31*l + 0 + (0 - 1 - 4*l + 2*l)*(4 - 4 - 7) as s + r*l and give s.
9
Express n - 2 - 23*n**2 + 26*n**2 - n**2 + 75*n**3 + 0*n in the form v + r*n**2 + x*n**3 + j*n and give r.
2
Rearrange -128 + 129 - 6*y**2 + 256 + 14*y**2 - 7*y**2 to the form p + q*y**2 + w*y and give q.
1
Rearrange (2*b**2 + 0*b**2 - 6*b**2)*(-3 + 1 + 3)*(46*b - 44*b - 38*b**2 + 7*b**2) to u + v*b**2 + z*b + s*b**3 + d*b**4 and give d.
124
Rearrange (331*v - 571*v + 523*v)*(-v + 2 - 2)*(-v**2 - v**2 - v**2) to q + s*v**3 + z*v**4 + l*v**2 + d*v and give z.
849
Express (15 - 11 + 14)*(5*r + 3*r + 35*r)*(-2 + 0 - 3) in the form w*r + l and give w.
-3870
Express d**2 + 0*d + 0*d**2 + 2 + d + (2 - 16 - 1)*(-11 + 11 - 28*d**2) as x*d + t*d**2 + u and give u.
2
Express (-2 + 0 + 0)*(-2*j**3 + 4*j**3 + 0*j**3) - j**3 + 13*j**3 - 50*j**3 as p*j**3 + s + w*j + o*j**2 and give p.
-42
Rearrange -138*g + 73*g + 68*g**3 + 58*g to the form k + l*g**2 + j*g**3 + w*g and give w.
-7
Express (5 + 6 + 11)*(-5*n + n + 2*n)*(9 - 1 - 1)*(3 + 2 - 7) in the form x*n + k and give k.
0
Rearrange 14*h**2 + 63*h**3 - 5*h**2 - h - 64*h**3 + 2*h**4 to the form l*h**4 + x*h**2 + q + g*h**3 + d*h and give l.
2
Rearrange (1 - 1 + q)*(5 - 3 - 1) + 55*q - 119*q + 20*q + 3*q - 4*q + 7*q to the form p + c*q and give c.
-37
Express 6 - 15 - 972*t + 982*t as b + l*t and give l.
10
Rearrange 221*l + 13*l**2 - 3*l**2 + l**3 - 221*l - 6 to z + t*l + n*l**3 + r*l**2 and give r.
10
Rearrange -423*h - 137046 + 137046 to the form w*h + z and give w.
-423
Rearrange 2*r**2 + 24508 + 19*r**3 - 24508 + 6*r to the form s + a*r**3 + y*r**2 + n*r and give n.
6
Rearrange (j**2 - j**3 - j**2)*((0 + 6 - 4)*(7 - 2*j - 7) + (-j - 1 + 1)*(2 + 0 - 4)) to t + d*j**4 + g*j**3 + u*j + x*j**2 and give d.
2
Express -106*h**4 - 2 - h**3 + 196*h**4 - 51*h**4 as l + g*h**4 + b*h**2 + p*h + m*h**3 and give l.
-2
Rearrange -q**3 - 4*q - 460*q**2 - 47 + 461*q**2 - 3*q**3 + 0*q + 5*q to the form y*q**2 + h*q**3 + l*q + r and give r.
-47
Express (-2 - 3*g + 2)*(5*g - 3 + 3)*(0 - 3 + 1)*(-g + 0*g - g) as l*g + t*g**3 + y*g**2 + s and give t.
-60
Rearrange (-6*c**2 + c**2 + 2*c**2)*(0 - 1 + 2)*(-102*c + 20*c + 15*c) to q*c**2 + f + m*c**3 + a*c and give q.
0
Rearrange -4*z**2 + 9*z**2 - z**3 + 0*z**3 - 4 + 4 - 52*z to the form n*z**2 + d*z + h + w*z**3 and give w.
-1
Rearrange -4*k - 151*k**2 + 6*k + 6*k + 36*k**2 + k to b*k + d*k**2 + y and give b.
9
Express 1 - 29*t**2 - 10*t**2 - 7*t**2 - 7*t**2 + 79*t**2 + 9*t**3 in the form i*t**2 + o*t + x + m*t**3 and give i.
26
Rearrange 0*s + 0*s - 3*s**2 + (202*s + 216*s - 395*s)*(2*s - s - 3*s) to l*s**2 + m + y*s and give l.
-49
Rearrange ((3 + 3 - 5)*(-1 - 5 + 2) - 1 - 1 + 3)*(-1 + 2 + 0)*(2*n - 50 + 50 + (4*n - 3*n + 0*n)*(-5 - 1 + 5)) to the form i + y*n and give y.
-3
Rearrange (-h + h - 2*h - 8 + 8 - 2*h + (1 - 2 + 0)*(-3 - h + 3))*(-4*h + 5*h - 3*h)*(-4 + 1 + 7) to the form o*h + d + m*h**2 and give m.
24
Rearrange (-2*y + 1 - 1)*(-6*y**2 + 8*y**2 + 2 - 1) + (3*y**2 + 0*y**2 - y**2)*(-10*y - 6 + 6) to the form t*y**3 + g*y**2 + r*y + x and give t.
-24
Express 133*x - 93 - 55 + 153 in the form w + p*x and give p.
133
Express 4 + 2621*c - 41*c**2 + c**3 - 4 - 2622*c in the form h*c + r*c**2 + p*c**3 + j and give h.
-1
Express -4*l**4 - 7 + 3 + 3*l**3 + l + 3 + 2 in the form b + i*l + d*l**2 + o*l**4 + n*l**3 and give n.
3
Rearrange (-3*p**3 - 7*p**3 + 124*p**3)*(-9*p - p - 4*p) to the form b*p**2 + z*p + a*p**4 + m + x*p**3 and give a.
-1596
Express (-2*b**2 + b**2 - b**2)*(833*b**2 - 61*b**2 + 62*b**2) in the form u + q*b**4 + i*b**2 + k*b + r*b**3 and give q.
-1668
Rearrange 5*x - 2*x + 6*x + (0*x - 2*x + 0*x)*(0 + 5 + 0 + 1 + 2 - 4 + (4 - 1 - 2)*(-5 + 1 + 2)) + (-4 + 4 - 4)*(2*x - 2*x + x) to u*x + g and give u.
1
Express -213*j + 2 + 111*j - 4 - 8*j in the form v*j + n and give v.
-110
Rearrange -8*j + 2*j + 0*j + 0*j - 2*j + 3*j + (3*j - 4*j + 3*j)*(0 + 2 + 0) - j + j - 2*j + 2 + 2*j - 2 + (2 + 0 + 2)*(0*j + 3*j - 2*j) to f*j + k and give f.
3
Express (-d - 20*d + 8*d + (-3*d + 4*d + 0*d)*(1 + 2 - 2) - 3*d + d + d)*(1 + 3 - 5) in the form y*d + c and give y.
13
Express -8*h**3 - 14*h**4 - 2 - 3*h**3 - 2*h**4 + 12*h**4 as d*h**2 + o*h**4 + p*h**3 + w + g*h and give w.
-2
Rearrange (-20*f**2 - f - 19*f**2 + 21*f**2)*(-2*f + 1 - 1) + 0 - 5*f**3 + 3*f**3 + 2 to g*f**3 + c + p*f**2 + b*f and give p.
2
Express (5 + 3 + 4)*(-4*d + 5*d + d)*(0*d**3 - 5*d**3 - 2*d**3) as f*d + r*d**2 + c*d**4 + s*d**3 + q and give c.
-168
Rearrange 1 + q**2 - 106*q + 117*q - 10*q**2 to the form b + j*q + u*q**2 and give b.
1
Rearrange (0*x - x + 3*x + (-2*x + 2*x - 2*x)*(-1 + 0 + 0) + 2*x + x - x)*(9 + 8 - 6) to the form c*x + f and give f.
0
Rearrange 245*f + 0 - 244*f + f**4 + 0 + 1 + f**3 to the form l*f**3 + q*f + u + n*f**4 + p*f**2 and give n.
1
Express 130*r**2 - 16*r - 23*r - 2*r**3 + 37*r + 0*r**3 as f*r**2 + t*r + c + v*r**3 and give v.
-2
Rearrange -2*a**2 - 11534*a + 4*a**3 + 11538*a - a**3 to m*a + d*a**2 + k + f*a**3 and give m.
4
Rearrange (-3*m**3 - 9*m**3 - 6*m**3)*(3*m - 4*m - 2*m) + 3 + m**4 - 3 to w*m**2 + y*m + k*m**4 + v + i*m**3 and give v.
0
Express 2*z**2 + 6 + 1083*z - 1054*z + 2*z**3 - 6 in the form o*z + p*z**2 + h + n*z**3 and give n.
2
Express 14*r**2 - 106*r**2 - 5162*r**3 + 0 + 5159*r**3 - 1 in the form t*r**3 + o*r + x*r**2 + w and give w.
-1
Rearrange (-87 + 285 - 85 + (3 + 1 - 5)*(-3 + 2 - 1) + 7 - 1 - 2)*(4*j - 4*j + j) to y + o*j and give o.
119
Rearrange 513*a - 8 - 37 + 45 to o*a + v and give o.
513
Rearrange -4 + 0 + 4 - 275*u**2 + 333*u**2 to l*u + f + q*u**2 and give q.
58
Express -3*x**4 + x**4 + 5*x**4 + (0*x**2 - x**2 + 3*x**2)*(-1 + 1 + x**2) + 98*x**4 + 74*x**4 - 116*x**4 as s + y*x**4 + i*x**2 + k*x**3 + t*x and give y.
61
Express 103*z - 4*z**2 + z**2 + 40 - 40 as l*z + q*z**2 + x and give l.
103
Rearrange 19 - 5 - 5 - 9 + 783*c to i + l*c and give l.
783
Express -3*p + 32 - 68 + 5*p + 34 - 3*p in the form d*p + a and give d.
-1
Express -78463 - 18*m + 78463 as z + c*m and give c.
-18
Express l**2 - 101423*l + 6 - 26*l**3 + 101423*l as m + p*l**3 + i*l + t*l**2 and give p.
-26
Express 2*p**2 + 48 - 48 + 29*p**3 - 24*p - 59*p + 2*p**4 - 36*p**3 in the form z*p**2 + i + v*p + m*p**3 + h*p**4 and give h.
2
Express 125*f + 10 + 8 + 7 - 28 + 4 in the form l + i*f and give i.
125
Rearrange -j - j**3 - 1185*j**4 + j**2 + 2 + 1177*j**4 + 3*j**3 to l + q*j**4 + p*j**3 + b*j + w*j**2 and give q.
-8
Express -11 + 302*f - 346*f - 3 - 9 as u + c*f and give c.
-44
Rearrange (0*l + 2*l - 3*l)*(-1 + 1 + 1)*((0 + 2 - 4)*(-33 - 9 + 11) + (-5 + 5 - 1)*(1 - 1 + 1))*(1 - 9 + 1) to the form f + y*l and give y.
427
Rearrange -155 + 80 + 497*v - 1743*v + 75 to the form s + l*v and give l.
-1246
Rearrange -4 - 1598*l - 5*l**2 + 8*l**4 + 1597*l + 2*l**2 + 2*l**2 - 2*l**3 to d*l**4 + i*l**3 + f*l**2 + j + n*l and give n.
-1
Rearrange 3*o**4 + 2*o**2 + 100 + o + 0*o**2 + 0*o - 4*o**4 + 4*o**4 to the form h*o**3 + u + s*o + j*o**4 + a*o**2 and give j.
3
Rearrange -5787*d + 12068*d - 5754*d + d + 0*d + d + (-3 - 2 + 6)*(0*d + 0*d - 2*d) + 0*d + 0*d - d to the form z + g*d and give g.
526
Rearrange -2*l**3 + 167 - 38606*l + 38604*l - 531 + 4*l**3 to the form z*l + w*l**2 + h*l**3 + g and give g.
-364
Express -48*n**3 + 12*n - 54*n**3 + n**2 + 155*n**3 - 52*n**3 as w*n + q + o*n**2 + r*n**3 and give o.
1
Express (8 + 206*q + 2*q**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
f(r) - z(r).
2*r**2 - 20*r - 1
Suppose -5*h = -a + 14 + 1, -2*a + 5*h + 10 = 0. Let j(q) = -q**3 - 8*q**2 - 2*q + 6. Let w(p) = -p**3 - 7*p**2 - 2*p + 5. Determine a*j(b) + 6*w(b).
-b**3 - 2*b**2 - 2*b
Let x(i) = i**3 - i + 1. Let l(b) be the first derivative of 9*b**2/2 + 95*b + 41. Let p be l(-11). Let j(z) = 5*z**3 - 7*z + 7. What is p*j(q) + 28*x(q)?
8*q**3
Let b(x) = 16*x**2 - 6. Let m(i) = -i**3 + 33*i**2 - 42*i + 326. Let a be m(32). Let n(w) = -16*w**2 + 5. Give a*n(y) + 5*b(y).
-16*y**2
Let o(m) = -3*m**3 + 1141*m**2 - 4*m - 4. Let i(p) = -7*p**3 + 2281*p**2 - 10*p - 11. Calculate -2*i(x) + 5*o(x).
-x**3 + 1143*x**2 + 2
Let k = 26 + -22. Let f(x) = x**2 - x - 1. Let b(c) be the second derivative of c**5/20 - c**4/3 + 2*c**3/3 + 2*c**2 - 392*c. Determine k*f(n) + b(n).
n**3
Suppose 4*t + 2*w = -392, 0*t + 2*w + 104 = -t. Let i be (-8)/t*4 - (-35)/3. Let h(a) = -a - 9. Let m(o) = -2*o - 22. Calculate i*h(g) - 5*m(g).
-2*g + 2
Let b be -3 + (-1 - 8) + 15. Let v(o) = 26*o**3 - 7*o. Let d(z) = -13*z**3 + 3*z. Give b*v(x) + 7*d(x).
-13*x**3
Let l(v) = 8*v - 2. Let a(w) = -45*w - 439. Give a(k) + 5*l(k).
-5*k - 449
Let b(s) = s - 1. Let h(y) be the second derivative of -y**3 - 31*y**2/2 - 9680*y. Calculate 4*b(k) + h(k).
-2*k - 35
Let n(s) = s**2 + 4*s + 1. Let p(b) = b**2 - 16*b + 4. Let w be 15/(-40) - 1310/(-80). Let c be p(w). Let q(a) = -a**2 - 3*a - 1. Calculate c*n(u) + 5*q(u).
-u**2 + u - 1
Let c(h) = 6*h**2 - h + 1. Let p(r) = r**2 - r + 1. Let q be (8/(32/(-6)))/((-3)/(-2)). Let j be 1*(5 + q - 3). What is j*p(x) - c(x)?
-5*x**2
Let l(t) be the second derivative of -t**3/2 - t**2/2 - 629*t + 5. Let x(j) = -4*j - 2. Determine -2*l(m) + 3*x(m).
-6*m - 4
Let h(b) = 2148*b**3 - 2*b**2 + 2*b + 4. Let p(a) = 6445*a**3 - 7*a**2 + 7*a + 14. Give 21*h(y) - 6*p(y).
6438*y**3
Let x be (-5 + (-12)/(-4))*-2. Suppose 4*j + 3087 = -5*o + 3044, -4*o + 5*j - 18 = 0. Let v(p) = 14*p - 9. Let z(k) = 7*k - 5. Calculate o*z(i) + x*v(i).
7*i - 1
Let n(p) = -39*p**3 + 5*p**2 - 5*p. Let t(g) = 58*g**3 - 8*g**2 + 8*g. Let b(k) = 268*k - 4012. Let o be b(15). Give o*n(u) + 5*t(u).
-22*u**3
Let w(b) = -9*b + 41. Let x(u) = -5*u + 32. Determine 3*w(f) - 4*x(f).
-7*f - 5
Let k(z) = z**2 + z + 1. Let y = 8800 + -8799. Let c(w) = 7*w**3 - 5*w**2 - 5*w - 5. What is y*c(n) + 5*k(n)?
7*n**3
Let l(o) = -6*o + 5. Let h(g) = -93 + 8*g - 7*g + 69 + 25. Calculate 3*h(c) + l(c).
-3*c + 8
Let x(w) be the third derivative of w**4/12 - 2*w**3/3 + 4*w**2 + 20*w + 186. Suppose -3*m + 12 = -0*m. Let t(d) = 3*d - 4. What is m*t(n) - 5*x(n)?
2*n + 4
Let p(s) = -112*s - 15. Let h(z) = -728*z - 96. Determine -5*h(q) + 32*p(q).
56*q
Let s(r) = 38*r**3 + 5*r**2 + 24*r. Let h(q) = -39*q**3 - 6*q**2 - 24*q. Calculate -5*h(a) - 6*s(a).
-33*a**3 - 24*a
Let x be (-2)/(-1*2) + -2. Let y(i) = 5*i + 72. Let n(u) = 3*u + 41. Let g(j) = -7*n(j) + 4*y(j). Let f(s) = -7*s - 5. Calculate x*f(b) - 3*g(b).
10*b + 2
Let o(f) = 20*f**2 + 17*f - 12. Let a(n) = 7*n**2 + 8*n - 23. Let z(b) = -22*b**2 - 26*b + 79. Let l(y) = -7*a(y) - 2*z(y). Give 9*l(k) + 2*o(k).
-5*k**2 - 2*k + 3
Let r(p) = -p. Let g(b) be the first derivative of b**5/30 - b**4/12 + 64*b**3/3 - 14. Let a(i) be the third derivative of g(i). What is -a(s) - 5*r(s)?
s + 2
Let n(f) = 80*f**2 + 61*f. Let k(b) = 40*b**2 + 29*b. Let d(u) = 7*k(u) - 3*n(u). Let y(c) = 13*c**2 + 7*c. Give 6*d(m) - 17*y(m).
19*m**2 + m
Let x(y) = 1. Let v(q) = -6*q. Determine -v(j) - 5*x(j).
6*j - 5
Let b(w) = 71*w - 20*w - 1 - 26*w - 33*w. Let k(q) = 15*q + 2. Calculate 5*b(d) + 3*k(d).
5*d + 1
Let h(r) = 2*r**2 + 2*r - 1. Let w = -7 + 0. Let t(d) = -1793*d**2 + 1799*d**2 - 2 + 9806*d - 9799*d. Calculate w*h(i) + 2*t(i).
-2*i**2 + 3
Let p(q) = q + 24. Let a(u) = 23 + 62*u + 66*u + 60*u + 60*u - 247*u. Calculate 4*a(s) - 3*p(s).
s + 20
Let w(l) = 6*l**3 - 2730*l**2 + 5*l + 30. Let s(o) = -o**3 - o - 6. Give 5*s(m) + w(m).
m**3 - 2730*m**2
Let z = 170 + -167. Let q(f) = -8*f**z - 6*f**2 - 6*f**2 + 4*f - 4*f. Let d(n) = -3*n**3 - 5*n**2. Give -12*d(k) + 5*q(k).
-4*k**3
Let y = 2087 - 2083. Let c(r) = -16*r**3 - 4*r**2 - 4*r - 4. Let u(d) = -111*d**3 - 27*d**2 - 27*d - 27. Determine y*u(z) - 27*c(z).
-12*z**3
Let a(k) = -1 - 7*k + 3 + 5*k. Let q = 2 + -8. Let t(m) = m. Let p(u) = 7*u - 1. Let j(c) = q*t(c) + p(c). Determine -2*a(s) - 3*j(s).
s - 1
Let a(l) = 18*l**2 + 9*l + 363. Let y(r) = 3*r**2 + 2*r + 3. Calculate -a(b) + 5*y(b).
-3*b**2 + b - 348
Let q(w) = -15*w - 1538. Let k(f) = 24*f + 3084. Determine 3*k(t) + 5*q(t).
-3*t + 1562
Let i(v) = -47*v + 3714. Let h(f) = 76*f - 5572. Give -5*h(m) - 8*i(m).
-4*m - 1852
Suppose 8235*p = 8239*p - 8. Let l(o) = 9*o**2 - 5*o + 2. Let v(b) = b**2 - b + 1. Give p*v(q) - l(q).
-7*q**2 + 3*q
Let y(p) = 52*p. Let t(h) = -h + 346304767 - 346304767. What is 6*t(o) + y(o)?
46*o
Let t(n) = -1456*n + 22. Let h(d) = 4375*d - 62. Give -6*h(v) - 17*t(v).
-1498*v - 2
Let o(m) = -17*m**2 - 3*m + 8. Let z(w) = -67*w**2 - 14*w + 36. Give 18*o(k) - 4*z(k).
-38*k**2 + 2*k
Let g(b) = 4*b**2 + 6*b - 6. Let d(i) = 3*i**2 + 5*i - 5. Let x = 6 - 2. Let l(k) = -x*k - k**2 - k + 6 + 3*k + 3*k. Let w be l(0). What is w*d(p) - 5*g(p)?
-2*p**2
Suppose 2*z = -5*n + 26 - 3, -3*z = 3. Let t(w) = -5*w - 8*w**2 - n + w**2 - 3*w**2. Let l(o) = 15*o**2 + 7*o + 7. What is -5*l(f) - 7*t(f)?
-5*f**2
Let m(f) = 8*f + 11. Suppose 21 = -s - 5*q, 226*q + 15 = -s + 223*q. Let k(d) = -7*d - 10. Determine s*k(u) - 5*m(u).
2*u + 5
Let m(d) = -7*d**3 - 4*d**2 + 15*d + 2. Let i(a) = -8*a**3 - 6*a**2 + 16*a + 3. Give 2*i(v) - 3*m(v).
5*v**3 - 13*v
Let w(s) = -21*s**3 - 6*s**2 - 4*s + 31. Let y(u) = -18*u**3 - 5*u**2 - 3*u + 29. Calculate 5*w(d) - 6*y(d).
3*d**3 - 2*d - 19
Let j(i) = 2*i**3 - 9*i**2 + 3*i - 3. Let h(w) be the third derivative of w**6/30 - 17*w**5/60 + w**4/4 - 5*w**3/6 + 3208*w**2. Calculate 3*h(t) - 5*j(t).
2*t**3 - 6*t**2 + 3*t
Let n(i) = 13*i**3 + i**2 + 2*i. Suppose 0 = -2*u + 5*r + 41, -10*u - 34 = -12*u + 4*r. Let f(c) = -14*c**3 - 2*c**2 - 2*c - 1. Calculate u*n(y) + 2*f(y).
11*y**3 - y**2 + 2*y - 2
Let i be ((-6)/4 + 1)*-2. Let u(f) = -3*f**2 + 1. Let y(l) = -72204*l**2 + 48 + 72203*l**2 - l**3 - 47. Calculate i*u(q) - 3*y(q).
3*q**3 - 2
Let p(s) = -3 + 11*s**2 - 2 + 5 + 8 - 4. Let c(m) = -23*m**2 - 6*m - 6. Let y(t) = -t**2 - t. Let x = 5 - 4. Let d(k) = x*c(k) - 6*y(k). Give -5*d(h) - 8*p(h).
-3*h**2 - 2
Let o(g) = -3*g - 4. Suppose 3*x - 3 = d, -12 = -6*d + 2*d. Let r(m) be the third derivative of 2*m**4/3 + 7*m**3/2 - 2*m**2 - 23*m. Calculate x*r(p) + 11*o(p).
-p - 2
Let a(z) be the second derivative of z**3/6 + 14915*z. Let u(k) = -8*k - 2. What is 2*a(b) - u(b)?
10*b + 2
Let v(i) = 3*i**3 - 2*i**2 + 4*i + 12. Let y(j) = -5*j**2 - 197*j - 270. Let a be y(-38). Let n(z) = z**3 - z**2 + z. Give a*n(s) + v(s).
-s**3 + 2*s**2 + 12
Let k(a) = -10*a - 8. Let t(z) = 114*z + 2259. Let r(q) = -7*q - 137. Let i(m) = 33*r(m) + 2*t(m). Suppose -s = -6*s - 5, 54 = -4*h + 2*s. Give h*i(c) + 5*k(c).
-8*c + 2
Let f be -1 - (-2 - ((-2)/3 + 42/63)). Let k(h) = -h - 1. Let s(b) = -b - 5. Give f*s(g) - 2*k(g).
g - 3
Let p(x) = -42*x**3 - 9*x**2 - 27*x - 74. Let c(y) = 20*y**3 + 4*y**2 + 12*y + 37. Give 9*c(j) + 4*p(j).
12*j**3 + 37
Let h(u) = -2*u + 9. Let j = 1558 + -1554. Let t(q) = 1. Determine j*h(k) - 36*t(k).
-8*k
Let n(a) = 1. Let j(g) = 2*g**2 + 5*g - 5. Suppose 12*s = -11 + 23. Determine s*j(q) + 4*n(q).
2*q**2 + 5*q - 1
Let m(h) = 9*h + 8. Let d(z) = -1364*z - 16. Give -4*d(x) - 8*m(x).
5384*x
Let n(c) = 38279*c**2 + 4545*c - 1515. Let i(x) = -101*x**2 - 12*x + 4. Calculate -1515*i(v) - 4*n(v).
-101*v**2
Let z(k) = -12*k**2 - 10*k - 10. Let l = 936 + -766. Let x be l/17 + -3 + (0 - -13). Let t(o) = 0*o**2 + o**2 + 1 + 3*o - 2*o. Calculate x*t(y) + 2*z(y).
-4*y**2
Let h(i) = -17 + 11 + 7. Let g(s) = -10*s**2 + 3*s + 14. Let k(n) = -7*n**2 + 3*n + 11. Let z(p) = -3*g(p) + 4*k(p). Give h(o) - z(o).
-2*o**2 - 3*o - 1
Let o(l) = -7*l + 47. Let i(v) = -3*v + 23. Let w be 4*9*(-1)/4*(224 + -225). Give w*i(t) - 4*o(t).
t + 19
Let h(t) = -2*t**2 - 2*t - 3. Let x(w) be the third derivative of -w**5/15 - 5*w**4/24 - 7*w**3/6 - 19*w**2 - 3*w. Give 9*h(m) - 4*x(m).
-2*m**2 + 2*m + 1
Suppose 81 - 80 = -5*k + 2*b, 2*k - 2*b + 10 = 0. Let w(n) = 26. Let f(i)
|
{
"pile_set_name": "DM Mathematics"
}
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3. Let k(f) = 16*l(f) + 3*z(f). What is k(s(d))?
-8*d**4
Let w(q) be the third derivative of q**5/60 - 11*q**2. Let a(x) = -12*x. Let m(n) = 25*n. Let v(u) = 13*a(u) + 6*m(u). What is w(v(s))?
36*s**2
Suppose -3 = -3*y + 15. Let o(d) = -d - d + y*d. Let i(w) = 2*w**2. Calculate o(i(g)).
8*g**2
Let m(c) = 5*c. Let h = -5 + 12. Let q(j) = 7 - h + j**2. What is m(q(n))?
5*n**2
Suppose s = 4*s - 6. Let m(f) = 3*f + f + s - 2. Let i(z) = z + 0*z - 2*z. Give i(m(x)).
-4*x
Let i(a) be the third derivative of 1/12*a**4 - 6*a**2 + 0*a + 0 + 0*a**3. Let q(d) = 2 + 5*d - 2. What is i(q(b))?
10*b
Let c(h) = 551*h**2. Let g(f) = -f. Calculate g(c(l)).
-551*l**2
Let a(f) = 2*f**2. Let t(q) be the first derivative of 2*q**3/3 - 14. Give a(t(v)).
8*v**4
Let f(m) = -m. Let u(b) = -5*b. Let d = 1 - 5. Let z(a) = d*f(a) + u(a). Let g(w) = 3*w**2. Calculate z(g(t)).
-3*t**2
Let u(k) = -178*k**2 + 2*k. Let c(w) = -w. What is c(u(n))?
178*n**2 - 2*n
Suppose 0 = g + 2*g - 21. Let k(t) = -3*t - 2*t + g*t. Let o(d) = -17*d**2. What is o(k(m))?
-68*m**2
Let b(a) be the third derivative of a**4/6 + 20*a**2. Let y(g) be the first derivative of -g**3/3 - 1. Calculate y(b(m)).
-16*m**2
Let m(s) = -3*s**2. Let g(u) = -95*u**2. Calculate m(g(v)).
-27075*v**4
Let z(j) be the third derivative of j**5/120 - j**3/6 - 3*j**2. Let d(k) be the first derivative of z(k). Let i(l) = l. Determine i(d(f)).
f
Let u(j) = j - 3. Let v be u(6). Let y = v + 1. Let o(c) = 3*c**2 + 4*c. Let n(t) = t**2 + t. Let g(p) = y*n(p) - o(p). Let q(k) = k**2. Calculate q(g(a)).
a**4
Let x(d) = 6*d**2 - d**2 - d**2 - 1 - d**2. Let h(c) = 2*c**2. Calculate h(x(j)).
18*j**4 - 12*j**2 + 2
Let r(f) be the first derivative of 0*f - 1/3*f**3 + 0*f**2 + 7. Let s(p) = -16*p**2. Calculate r(s(d)).
-256*d**4
Let i(n) = 3*n. Suppose 3*f = 1 + 5. Suppose 10 = -4*k + 4*p - 2, -5*k = -2*p. Let r(g) = 0*g**f - 3*g**k + 7*g**2 - 3*g**2. Give r(i(x)).
9*x**2
Let i(k) be the first derivative of 13*k**2/2 + 21. Let m(b) = b**2. Give i(m(f)).
13*f**2
Let x(s) = -s - 21. Let y(h) = -2*h**2 - 5*h - 5. Let t(g) = g + 1. Let b(j) = 5*t(j) + y(j). Calculate b(x(u)).
-2*u**2 - 84*u - 882
Let b(z) = -4*z. Let c(a) be the first derivative of 0*a**2 + 0*a + 3 + 2/3*a**3. What is c(b(w))?
32*w**2
Let f(a) = a**2. Let j(o) = -151*o**2 + 14*o. Let v(b) = 76*b**2 - 6*b. Let u(w) = -3*j(w) - 7*v(w). What is u(f(q))?
-79*q**4
Let g(o) = o. Let a(n) be the second derivative of 31*n**3/6 - 13*n. What is a(g(i))?
31*i
Let k = -2 + 5. Let f(i) = -8*i**2 - 4*i - 4. Let q(r) = 7*r**2 + 3*r + 3. Let d(u) = k*f(u) + 4*q(u). Let z(a) = a**2. What is d(z(v))?
4*v**4
Let z(b) be the second derivative of b**4/24 + 9*b**2/2 + 2*b. Let f(o) be the first derivative of z(o). Let h(i) = i. Calculate f(h(r)).
r
Let y(j) = j**2. Let c(u) = 3*u - 127. Calculate c(y(a)).
3*a**2 - 127
Let l(k) = -8*k**2 + 22*k. Let a(h) = 27*h. Calculate l(a(m)).
-5832*m**2 + 594*m
Let w(u) = 397*u**2 - 15. Let m(n) = n**2. Give w(m(d)).
397*d**4 - 15
Let q(t) be the second derivative of -t**4/4 + 22*t. Let l = 6 + -1. Let d(i) = 5*i**2 - l*i**2 + 3*i**2. Calculate d(q(g)).
27*g**4
Let c(i) = 2*i. Let f(t) = -2*t. Let x(v) = -5*c(v) - 6*f(v). Let k(l) be the third derivative of -l**5/20 - l**2. What is k(x(y))?
-12*y**2
Let w = -6 + 7. Let u(q) = 0 - w + 1 + 2*q. Let v(p) = 3*p**2. Give v(u(z)).
12*z**2
Let t(k) = 3*k. Let v(x) = -14*x + 4*x - 2*x. Calculate v(t(m)).
-36*m
Let t(f) be the third derivative of -f**4/24 - f**3 - f**2. Let m be t(-8). Let r(h) = 2*h + m - 2. Let o(c) = -c**2. What is r(o(z))?
-2*z**2
Let b be 1 - (-2)/((-4)/22). Let l be (-18)/(-5) + (-4)/b. Let y(d) = l - 4 + 5*d. Let h(n) = -2*n. Determine h(y(c)).
-10*c
Let i(u) = -80*u - 55. Let y be 12/(-16) - 10/8. Let s(v) = 3*v + 2. Let m(z) = y*i(z) - 55*s(z). Let q(o) = -4*o + 10 + 2*o - 10. What is q(m(h))?
10*h
Let l(v) = -2*v**2. Suppose 3*k - 4*k = 2. Let j(n) = -n + 2. Let m(z) = -4*z + 5 + z + 0*z. Let f(o) = k*m(o) + 5*j(o). Give f(l(d)).
-2*d**2
Let y(g) = g**2. Suppose -m + 6 = 2*m. Let d(c) = 0*c + 2*c**2 - 2*c + m*c. Determine d(y(h)).
2*h**4
Let g(o) = 2*o**2. Let s(i) be the first derivative of -i**6/360 + i**3 + 5. Let n(m) be the third derivative of s(m). What is n(g(q))?
-4*q**4
Let u(a) be the third derivative of a**7/1680 - a**5/20 - 11*a**2. Let s(p) be the third derivative of u(p). Let n(t) = -2*t - 3*t**2 + 2*t. Calculate n(s(k)).
-27*k**2
Let t(c) = -55*c**2. Let r(x) = 86*x. Calculate t(r(a)).
-406780*a**2
Let y(k) = 3*k**2. Let a(f) = -3*f**2 - 541*f. What is a(y(v))?
-27*v**4 - 1623*v**2
Let s(f) = -37*f. Let g(q) = -5*q**2 + 7. Let u(n) = -2*n**2 + 3. Let l(j) = 3*g(j) - 7*u(j). Determine l(s(z)).
-1369*z**2
Let k(o) = 3*o. Let r(j) be the third derivative of j**5/60 + 10*j**2. Calculate r(k(l)).
9*l**2
Let u(h) = -6*h**2. Suppose -3*c + 6 + 0 = 0. Let k(p) = 5*p**c - 2*p**2 + 2*p**2 - 4*p**2. Determine k(u(i)).
36*i**4
Let w(n) = -7*n. Let c(f) = 16*f. Give w(c(z)).
-112*z
Let t(b) = -3 + b + 4 + 1 - 4. Let v(i) = -i + 3. Let q(y) = -3*t(y) - 2*v(y). Let d(n) = -n**2. Calculate d(q(w)).
-w**2
Let d(g) be the third derivative of g**4/8 + 8*g**2. Let i(w) = 2*w. What is d(i(r))?
6*r
Let g(u) = -3*u. Let d(t) be the first derivative of 8*t**3/3 - 2. Calculate d(g(o)).
72*o**2
Let d(m) = -3*m**2 - 4 + 4. Let v be (15 + -5)*2/4. Let g(w) = 7*w**2 - 5*w. Let r(j) = 4*j**2 - 3*j. Let q(n) = v*r(n) - 3*g(n). Give q(d(l)).
-9*l**4
Let c(w) = 131*w**2 + w. Let o(x) = -4*x**2. What is c(o(f))?
2096*f**4 - 4*f**2
Let u(v) = 2*v. Let y(h) = -14059*h. What is u(y(m))?
-28118*m
Let m(r) be the first derivative of -r**2 + 14. Let q(y) = 8*y. Give q(m(w)).
-16*w
Let s be (-5)/6*20/(-50). Let m(o) be the first derivative of 0*o**2 - s*o**3 - 2 + 0*o. Let j(f) = f**2. Give j(m(r)).
r**4
Let n(r) = 4*r**2 + 2*r. Suppose -4 = f + f. Let a(w) = 4*w**2 + 3*w. Let d(x) = f*a(x) + 3*n(x). Let y(z) = -z. Give y(d(m)).
-4*m**2
Let v(y) = 2*y. Suppose -2 = -3*n + 2*n. Suppose 0 = -5*i + 5*p + 5, 0 = -n*i - 0*i - p + 8. Let h(j) = 0*j - j + i*j. Calculate v(h(o)).
4*o
Let x(j) = 8*j**2. Let w(q) = 23*q**2. Let g(f) = 3*w(f) - 8*x(f). Let n(c) = -2*c**2. Give n(g(a)).
-50*a**4
Let u(v) be the third derivative of -v**5/30 - 11*v**2. Let d(n) be the second derivative of -n**3/6 - n. Calculate d(u(l)).
2*l**2
Let w(h) = 7*h. Let a(k) = -4*k**2 + 261*k - 261*k. Calculate w(a(p)).
-28*p**2
Let l(r) = 4*r**2. Let k(q) = -q - 2. Let g(p) = 3*p + 5. Let t(m) = 6*g(m) + 15*k(m). Calculate l(t(a)).
36*a**2
Let x(o) = -605*o**2. Let u(r) = -7*r**2. Calculate x(u(g)).
-29645*g**4
Let j(s) = 2*s**2 - 2*s**2 - 2*s**2. Let o(p) = -p**2 + 2*p - 2. Let f(l) = -5*l**2 + 11*l - 11. Let w(t) = 4*f(t) - 22*o(t). Determine j(w(y)).
-8*y**4
Let d(q) = 94*q. Let k(z) = -z. Determine k(d(b)).
-94*b
Let h(r) = -r**2. Let x(a) = -a**2 - a. Let z(u) = -u**2 - 2*u. Let s(p) = -2*x(p) + z(p). Determine h(s(i)).
-i**4
Let u(q) = -q**2. Let r = 9 + -5. Suppose n - 3*x - 7 = 0, -r*n + 5*x + 20 = -8. Let d(b) = -n - b + 7. What is u(d(w))?
-w**2
Let k(x) = 0 - x**2 + 0. Let t(l) = -2*l - 48 + 48. Determine k(t(f)).
-4*f**2
Let m(j) = 16*j. Let u(r) = 4*r. Let n(a) = -2*m(a) + 9*u(a). Let x(l) = -8*l + 6. Let k(q) = -q + 1. Let s(v) = -6*k(v) + x(v). Give n(s(c)).
-8*c
Let m(k) = -k + k + 0*k + k. Let f(y) be the first derivative of 0*y + 1 + 0*y**2 + 4/3*y**3. Give f(m(g)).
4*g**2
Suppose -1 - 2 = -3*g. Let u(o) = 1 + 6*o - g. Let b(f) be the third derivative of f**4/24 - 9*f**2. Give u(b(n)).
6*n
Let a(i) = 11384*i**2. Let t(d) = 2*d**2. Give t(a(l)).
259190912*l**4
Let s(q) = -5*q**2. Suppose 2 = -4*h + 5*h. Let y(u) = 3*u**2 - 3*u**h + 2*u**2. Determine s(y(w)).
-20*w**4
Let l(d) = 87*d - 15. Let r(s) = 22*s - 4. Let c(o) = -4*l(o) + 15*r(o). Let x(q) = -9 - 68*q**2 + 9 + 70*q**2. Determine x(c(n)).
648*n**2
Let m(i) = -12*i. Let c(h) = -26*h**2 + 55*h**2 - 33*h**2. Determine m(c(x)).
48*x**2
Let v(z) = -5*z. Let u(f) = f**3 - 17*f**2 + 17*f - 16. Let b be u(16). Let k(i) be the second derivative of b + 1/3*i**3 + 0*i**2 - 3*i. Determine v(k(l)).
-10*l
Let x(h) = -h. Let y(l) = 156*l**2 + 32. Let i(r) = 24*r**2 + 5. Let f(u) = 32*i(u) - 5*y(u). Determine x(f(j)).
12*j**2
Let c(b) = 7*b**2. Let x(l) = 304*l**2 - 153*l**2 - 152*l**2.
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{
"pile_set_name": "DM Mathematics"
}
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irst derivative of -2*p**2 - a*p**4 + 2*p**2 - 5 + 196*p**4 wrt p.
-36*p**3
Suppose -3*z = -51 - 6. Suppose z = w + 5*m, m + 0*m - 7 = -w. What is the second derivative of 6*c**4 + 5*c**5 + c - 6*c**w wrt c?
100*c**3
Let j(u) = -20*u**4 - 8*u**3 - 6*u - 1. Let v(r) = -39*r**4 - 15*r**3 - 12*r - 1. Let s(h) = 11*j(h) - 6*v(h). What is the second derivative of s(t) wrt t?
168*t**2 + 12*t
Let x(f) = -f + 3. Let p be x(1). What is the third derivative of -6*o**6 - 9*o**2 + 2*o**6 + 24*o**p + o**6 wrt o?
-360*o**3
Let q(s) be the second derivative of -15*s + 0*s**2 + 0*s**3 + 2/5*s**5 + 0 - 3/2*s**4. Find the third derivative of q(j) wrt j.
48
Find the second derivative of -48*n - 2965*n**5 + 2936*n**5 - 5*n + 1 - 5*n**4 wrt n.
-580*n**3 - 60*n**2
Let c(z) = -z**2 - 1. Let r(h) = -2*h**2 - 5. Let y(m) = -17*c(m) + 6*r(m). Differentiate y(f) wrt f.
10*f
Let k(o) be the third derivative of 2*o**7/15 - o**4/4 - 293*o**3/6 - 501*o**2. Differentiate k(r) with respect to r.
112*r**3 - 6
Find the third derivative of -2*b**3 + b**2 - 24*b**2 + 23*b - 162*b**5 + 2*b**3 - 26*b wrt b.
-9720*b**2
Let a(d) = d**2 - d - 1. Let p be a(-2). Let y(q) = q**3 - 2*q**2 - 2*q + 2. Let l be y(3). What is the derivative of 2*s**3 - 2 - p*s**3 + l*s**3 wrt s?
6*s**2
Let c(t) be the second derivative of 0*t**4 + 0 + 0*t**3 - 23/20*t**5 - 11*t + 9/2*t**2. What is the first derivative of c(o) wrt o?
-69*o**2
Let d(m) be the third derivative of -53*m**7/30 - 81*m**5/20 + 35*m**2 - 2. What is the third derivative of d(z) wrt z?
-8904*z
Let w(p) = -57*p**3 + 2*p**2 - 7*p - 2. Let h(b) = b**3 - b**2 - b + 1. Let l(n) = -2*h(n) - w(n). What is the second derivative of l(v) wrt v?
330*v
What is the first derivative of 177*i**2 - 30*i**3 - i - 86*i**2 - 91*i**2 - 52 wrt i?
-90*i**2 - 1
Let r(n) = 17*n**4 + 3*n**2 + 100*n - 3. Let b(j) = -2*j**4 - j**3 - j**2 - j + 1. Let l(g) = 3*b(g) + r(g). Find the second derivative of l(h) wrt h.
132*h**2 - 18*h
Let b be (1 - 1)*17/68. Let x(g) be the first derivative of 1 + b*g + g**3 + 1/2*g**2. What is the second derivative of x(z) wrt z?
6
Let u(m) be the second derivative of -25/12*m**4 + 0 + 0*m**2 - 19/30*m**6 + 24*m + 0*m**3 + 0*m**5. Find the third derivative of u(n) wrt n.
-456*n
What is the first derivative of -70 + 0*u**2 + 15*u - 13 + 2*u**2 - u**2 wrt u?
2*u + 15
Let x be (-9)/(-5 - -2) - -4. Let y = 3 + x. What is the derivative of 7 - n**3 + 2*n**3 - y wrt n?
3*n**2
Suppose -h - 5*a + 15 = -a, h = 3*a - 6. What is the derivative of -h + 6 - 12*f - 20*f + 4 wrt f?
-32
Let r(h) be the first derivative of -3*h**7/70 - 5*h**3/6 + 13*h**2/2 - 15. Let f(z) be the second derivative of r(z). Find the first derivative of f(o) wrt o.
-36*o**3
Find the third derivative of 11*r**2 + 20*r**2 + 15*r**2 + 46*r**3 - 2*r**4 - 2*r**2 wrt r.
-48*r + 276
What is the third derivative of 7*p**3 - 12*p**3 + 77*p**3 - 50*p**2 + 14*p**3 - 19*p**2 wrt p?
516
Suppose 2*u = -10, -u + 3*u + 58 = 3*d. Find the second derivative of 153 - d*c - 153 + 39*c**3 wrt c.
234*c
Let r(h) be the second derivative of -71*h**4/12 + h**3/3 - 70*h**2 - 274*h - 1. Find the second derivative of r(i) wrt i.
-142
Let q(a) = 9*a + 4. Let r(t) = -17*t - 8. Let w be (-56)/(-6) - 4/(-6). Suppose 23 + w = 3*f. Let y(m) = f*q(m) + 6*r(m). What is the derivative of y(l) wrt l?
-3
Suppose -3 = -5*x + 7. What is the first derivative of -x*d - d + 2*d + 3 wrt d?
-1
Let h(o) be the third derivative of 19*o**6/24 + 31*o**3/2 - 22*o**2 + 4. What is the first derivative of h(c) wrt c?
285*c**2
Let i(a) = -10*a + 15. Let g = 66 + -68. Let t(s) = s - 1. Let w(p) = g*t(p) - i(p). Find the first derivative of w(v) wrt v.
8
Suppose -48*m = -50*m + 6. Let z(v) be the second derivative of 0*v**4 + 3/20*v**5 + 2*v + 0*v**2 - 1/6*v**m + 0. What is the second derivative of z(j) wrt j?
18*j
Let n = -34 + 34. Find the second derivative of 0*v**2 + n*v**2 - v**5 + v + 0*v**2 wrt v.
-20*v**3
Let f(m) be the first derivative of -3/2*m**2 + 47 + 3/5*m**5 + 0*m**3 + 50*m + 0*m**4. Differentiate f(k) with respect to k.
12*k**3 - 3
Let c(w) be the first derivative of -13/3*w**3 + 6*w + 0*w**2 - 9. What is the derivative of c(f) wrt f?
-26*f
Let f be ((-16)/20)/(1/(-30)). Let w = f + -21. Find the third derivative of -11 - 9 - 13*t**w + 20 - 6*t**2 wrt t.
-78
Let n(v) be the first derivative of 3*v**6 - v**4/2 - 32*v**2 + 42. What is the second derivative of n(b) wrt b?
360*b**3 - 12*b
Let c(j) be the third derivative of 29*j**5/30 - 403*j**4/24 + 317*j**2. What is the second derivative of c(h) wrt h?
116
Let y(j) = -495*j**3 - 282*j**2 - 4*j - 4. Let f(h) = -h**3 + h + 1. Let m(v) = 4*f(v) + y(v). What is the third derivative of m(x) wrt x?
-2994
Let h(l) be the third derivative of 2*l**5/5 + 103*l**3/3 - 198*l**2. Differentiate h(v) wrt v.
48*v
Let t(d) be the third derivative of 0 - 8*d**2 + 0*d - 1/6*d**5 - 5/24*d**4 + 0*d**3. Find the second derivative of t(z) wrt z.
-20
Let h(b) be the second derivative of 0*b**2 + 0 + 31/42*b**7 + 29/6*b**3 + 0*b**5 + 0*b**6 + 0*b**4 - 6*b. Find the second derivative of h(l) wrt l.
620*l**3
Let t(i) = i + 3. Let q be t(0). What is the first derivative of 3 + n**3 + 7*n**3 + 15*n**3 + 0*n**q wrt n?
69*n**2
Let x(z) be the second derivative of -2*z**7/21 + z**5/10 - 253*z**3/6 - 94*z. Find the second derivative of x(j) wrt j.
-80*j**3 + 12*j
Let l(s) = -2*s**4 - 5*s**3 - 5*s**2 - 7*s - 25. Let r(o) = o**4 + o**3 + o**2 + o. Let h(g) = l(g) + 5*r(g). What is the derivative of h(i) wrt i?
12*i**3 - 2
Let o(k) = -325*k**4 + 8*k**3 + 681. Let q(h) = 975*h**4 - 26*h**3 - 2043. Let w(t) = -13*o(t) - 4*q(t). Differentiate w(v) wrt v.
1300*v**3
Find the first derivative of 24*b**2 + 14*b**2 + 48 + 11*b**2 + 166 wrt b.
98*b
Let i(d) = 129*d - 1. Let z(s) = 131*s - 2. Let a(c) = -5*i(c) + 4*z(c). What is the derivative of a(v) wrt v?
-121
Let b(c) = -5*c**3 - 5*c**2 - 4*c - 58. Let h(o) = -4*o**3 - 4*o**2 - 3*o - 57. Let z(l) = 3*b(l) - 4*h(l). What is the first derivative of z(t) wrt t?
3*t**2 + 2*t
Let k(m) = -m**2 - 17*m - 21. Let u be (-56)/98 + (-115)/7. Let n(g) = 6*g + 7. Let b(h) = u*n(h) - 6*k(h). What is the first derivative of b(w) wrt w?
12*w
What is the third derivative of 83*d**3 + 67*d**2 - 122*d**2 + 2 + 75*d**2 wrt d?
498
Let l(t) be the first derivative of 0*t - 1/5*t**5 + 5/2*t**4 - 11 - 4*t**3 - 3/2*t**2. What is the third derivative of l(k) wrt k?
-24*k + 60
Let h(z) be the third derivative of z**8/240 + 3*z**5/20 + z**4 - 28*z**2. Let y(t) be the second derivative of h(t). Differentiate y(p) wrt p.
84*p**2
Let b = 13 + -11. Suppose 0 = b*r + 4*y - 52, -2*r = -2*y - 17 - 11. What is the first derivative of -20*q**3 + 4 - 1 + r*q**3 wrt q?
-6*q**2
Suppose -85 = 14*n - 85. Let x(p) be the second derivative of 7/20*p**5 - 5/12*p**4 + 0 + 0*p**3 - 2*p + n*p**2. What is the third derivative of x(l) wrt l?
42
Let m(n) = 39*n + 3. Suppose -4*l + 44 = 12. Suppose -2*i + l = 16. Let r(o) = 10*o + 1. Let y(z) = i*m(z) + 15*r(z). Differentiate y(v) with respect to v.
-6
Let y(t) be the second derivative of 0 + 0*t**2 + 7/5*t**5 + 26*t + 0*t**4 + 9/2*t**3. What is the second derivative of y(j) wrt j?
168*j
Let x(v) be the third derivative of -11/30*v**5 + 0*v**3 + 7*v**2 + 0*v**4 + 0*v**6 + 0 + 13/105*v**7 + 0*v. Find the third derivative of x(n) wrt n.
624*n
Suppose 5*z = -2*v + 82, 8*v - 128 = 4*v - z. Let g = v + -18. Find the first derivative of 3 - g + 3*p**3 - p**3 wrt p.
6*p**2
Find the second derivative of -154*w - 185*w**2 + 150*w + 188*w + 99*w + 4*w**2 wrt w.
-362
Suppose m = 2*m. Suppose m = 3*b - 4 - 2. Find the third derivative of 3*f**b - f**2 - 5*f**6 + 2*f**2 wrt f.
-600*f**3
Let r(i) be the second derivative of 0*i**2 + 9*i + 0*i**3 - 4/5*i**5 + 0 - 7/12*i**4. Find the third derivative of r(l) wrt l.
-96
Let v(y) = -54*y**3 - 3*y**2 - 4*y - 7. Let c(g) = 53*g**3 + 3*g**2 + 6*g + 8. Let k(n) = 2*c(n) + 3*v(n). Find the third derivative of k(f) wrt f.
-336
What is the second derivative of -10*b**4 - 5*b**4 - 139*b**4 + 90*b wrt b?
-1848*b**2
Let h be (-70)/(-15)*(0 - -6). Let g = h - 23. What is the third derivative of -32*x**g - 12*x**2 + 66*x**5 - 30*x**5 wrt x?
240*x**2
Let z(t) = 80*t**3 - 651*t**2 + 8*t - 4. Let w(p) = 161*p**3 - 1300*p**2 + 14*p
|
{
"pile_set_name": "DM Mathematics"
}
|
third derivative of 8*r**2 - 132*r**4 - w*r**4 + 266*r**4 + 49*r**5 - 2*r wrt r?
2940*r**2
What is the third derivative of -1101*j + 1379*j**4 + 2212*j - 1075*j - 70*j**2 wrt j?
33096*j
Let g(d) be the second derivative of 299*d**6/6 + 3745*d**2/2 + 2091*d. What is the derivative of g(i) wrt i?
5980*i**3
Let l(a) = -670*a**3 - 15*a - 23. Let q(m) = 671*m**3 + 13*m + 24. Let y(f) = -3*l(f) - 2*q(f). Find the second derivative of y(u) wrt u.
4008*u
Let w(h) = 1414*h**4 + 1358*h**2 + 2*h - 4. Let k(v) = -1416*v**4 - 1358*v**2 - 3*v + 6. Let s(b) = -2*k(b) - 3*w(b). Find the third derivative of s(m) wrt m.
-33840*m
Let z(j) = 139*j - 1001. Let o(m) = 4*m - 1. Let x(k) = 6*o(k) + 2*z(k). Find the first derivative of x(c) wrt c.
302
Differentiate 188*g**2 - 100*g**2 + 5880 + 160*g**2 - 140*g**2 - 6*g wrt g.
216*g - 6
What is the third derivative of -1567 + 2*p**2 + 510*p**3 - 733 + 307*p**3 - 79*p**3 + 616*p**3 wrt p?
8124
Let c(m) = -79*m**3 - 11*m**2. Let y(w) = -159*w**3 - 23*w**2. Let s = -8 - -2. Let x(z) = s*y(z) + 11*c(z). What is the third derivative of x(i) wrt i?
510
Let s(b) = 5*b + 4. Let c be s(0). Let i(j) = -73*j + 42. Let t(f) = f + 1. Let q(n) = c*t(n) - i(n). Find the first derivative of q(m) wrt m.
77
Find the third derivative of -1041*n**2 + 2060*n**2 - 1039*n**2 - 6 - 1036*n**5 wrt n.
-62160*n**2
Let b = -24176/5 - -4836. Let z(v) be the first derivative of 0*v**4 + 5*v**3 - b*v**5 - 22 + 0*v + 0*v**2. Find the third derivative of z(d) wrt d.
-96*d
What is the third derivative of -7 - 81*w**2 + 17 - w + 59984*w**3 - 68573*w**3 wrt w?
-51534
Let u = -185 - -250. What is the derivative of u - 15*m + 11*m - 11*m - 15*m wrt m?
-30
Let c(g) = -68 - 68 - 63 - 18*g + 266 - 174*g**2 - 63. Let x(o) = o**2 - 2*o. Let t(w) = -c(w) + 3*x(w). What is the second derivative of t(m) wrt m?
354
What is the second derivative of -401438 + 477*o**2 + 284*o**2 + o**4 - 57*o + 401442 wrt o?
12*o**2 + 1522
Differentiate 772104*a - 2975 + 1254*a**2 + 593 - 772104*a with respect to a.
2508*a
Let s(z) = 3766*z - 9308. Let p(l) = -22596*l + 55769. Let u(k) = 6*p(k) + 37*s(k). Differentiate u(m) with respect to m.
3766
Let j(b) be the first derivative of 20*b**4/3 + 251*b**2/2 + 183*b + 78. Let y(q) be the first derivative of j(q). What is the first derivative of y(i) wrt i?
160*i
Let q(y) = 80*y - 152. Let r(f) = -39*f + 76. Let k be (-18)/(-3) + (5 - 2)/(-3). Let p(d) = k*r(d) + 2*q(d). Differentiate p(l) wrt l.
-35
Let i(n) be the third derivative of 1/14*n**7 + 170*n**2 - 13*n**3 + 0 + 0*n + 0*n**4 + 0*n**6 + 1/60*n**5. Differentiate i(k) with respect to k.
60*k**3 + 2*k
Suppose -q + 0*q + 3*g + 49 = 0, -q + 2*g = -52. Find the first derivative of 28*p - 24*p + q - 21*p - 39*p wrt p.
-56
Let o(k) = -3*k**2 + 42*k + 4. Let h = 135 + -138. Let r(z) = -3*z**2 + 41*z + 3. Let w(v) = h*o(v) + 4*r(v). What is the second derivative of w(f) wrt f?
-6
What is the third derivative of -2*p**4 - 1100*p**3 + 197688*p**2 - 197695*p**2 + 2*p**4 + 88*p + 5*p**5 - 4*p**5 wrt p?
60*p**2 - 6600
Let w be (-75)/(-20) + -4 + 2/8. Let l(c) = -2*c + 14. Let j be l(w). What is the first derivative of -44 - 39 + 91 - j*o**3 wrt o?
-42*o**2
Let v(p) be the second derivative of 0*p**3 + 0 + 0*p**4 - 127/2*p**2 + 1/4*p**5 - 55*p. Find the first derivative of v(s) wrt s.
15*s**2
Let i(b) = b**2 + 13*b - 1. Let p(m) = -368*m**2 + 1378*m + 3. Let k(t) = -3*i(t) - p(t). What is the second derivative of k(z) wrt z?
730
What is the third derivative of 3*b**5 - 3218*b**2 - 10581*b**3 + 5337*b**3 + 5593*b**3 wrt b?
180*b**2 + 2094
Let a(z) = 4938*z + 3976. Let o(y) = -4*y + 6. Let d(c) = -a(c) - 10*o(c). Find the first derivative of d(k) wrt k.
-4898
Let h(b) be the third derivative of -1531*b**9/252 - 1729*b**5/30 + 31*b**2 - 3*b. What is the third derivative of h(a) wrt a?
-367440*a**3
Let p(c) = 1036*c**4 + 4*c**3 + 4*c**2 + 5. Let d(b) = -2*b**4 - b**3 - b**2 - 3*b - 1. Let j(l) = -4*d(l) - p(l). What is the second derivative of j(m) wrt m?
-12336*m**2
Find the third derivative of 513*p**2 - 358*p**2 + 813*p**2 + 1101*p**2 + 4121*p**6 + 2800*p**2 wrt p.
494520*p**3
Let r be (-69)/(-6) - (-7)/(-14)*-3. Find the second derivative of -10 - 6*k - 10*k**3 - r*k**3 + 29*k**3 - 7*k**5 - 12*k**3 - 5*k**3 wrt k.
-140*k**3 - 66*k
Let i(x) be the first derivative of -40*x**2 - 11/2*x**4 + 0*x - x**3 + 41. What is the second derivative of i(h) wrt h?
-132*h - 6
Let i(v) = 19*v - 58. Let j be i(3). Let q(y) = -78*y**2 + y - 1. Let x(z) = -z**2 + z. Let f(a) = j*q(a) + 5*x(a). Find the second derivative of f(m) wrt m.
146
Let l(b) be the second derivative of 7*b**6/30 - b**5/2 - b**4/3 + b**3/2 + 1115*b**2 + b - 10766. Find the second derivative of l(f) wrt f.
84*f**2 - 60*f - 8
Let q(n) be the third derivative of 31*n**8/336 - 8*n**7/105 + 83*n**4/24 + 2*n**3/3 - 1865*n**2 + 1. What is the second derivative of q(s) wrt s?
620*s**3 - 192*s**2
Find the third derivative of -1 - 4*q + 577*q**4 + 4664*q**4 + 5*q - 568*q**2 wrt q.
125784*q
Let h(a) = 2*a**2 - 15*a - 22. Let z be h(9). Find the third derivative of z*l**2 + 2*l**3 - 41*l**4 - 7*l**4 - 68*l**2 - 3*l**2 wrt l.
-1152*l + 12
Let l(k) be the second derivative of -48*k + 11/6*k**4 + 1/2*k**2 - 67/30*k**6 + 0*k**5 + 2 + 0*k**3. What is the third derivative of l(z) wrt z?
-1608*z
Suppose 3*b = -2*a + 53, -b + 6*b - 95 = -5*a. Differentiate -36*z**4 + 59*z**4 + b*z**4 + 22*z**4 + 35 wrt z.
240*z**3
Find the third derivative of -6 - 8 - 123*f**2 + 14 - 196*f**4 - 428*f**4 wrt f.
-14976*f
Let c = 218 - 39. Find the second derivative of c*j - 90*j + 7*j**3 - 91*j - 11 wrt j.
42*j
Let t(f) be the second derivative of 8623*f**4/12 + 13*f**3/6 - 37*f**2/2 + 518*f + 4. Find the second derivative of t(q) wrt q.
17246
Let w be 24 - 19 - (-9)/(-3). Find the third derivative of 27*f**w - 37 + 17*f**2 + 339*f**3 + 35 wrt f.
2034
Let i(m) = -m + 68. Let v be i(22). What is the second derivative of 119*o**2 - 9*o + v*o - 52*o**2 wrt o?
134
Suppose -7*g + 18 + 17 = 0. Suppose -u - 4*u + 25 = -4*w, g*u - 25 = w. What is the third derivative of -21*z**u + 4*z**5 - 6*z**5 + 7*z**2 + 5*z**5 wrt z?
-1080*z**2
Let q(s) = s**3 + 26*s**2 - 28*s - 21. Let z be q(-27). Find the third derivative of j**3 + 5*j**4 - 8 - z*j**4 - 13 + 3*j**2 + 19 wrt j.
-24*j + 6
Let k be (13 - 11) + 4*1/2. Differentiate 82 + 50*v**4 + 3*v**k - 14*v**4 - 13 with respect to v.
156*v**3
Let v = 1465 - 2123. Let d be 2/(-9) - v/126. What is the second derivative of 9*i**5 + 3*i + 5*i**d - 4*i wrt i?
280*i**3
Let f(s) be the second derivative of -s**6/10 - s**3/6 - 626*s**2 - 8489*s. Differentiate f(o) with respect to o.
-12*o**3 - 1
Find the second derivative of -3*c + 28571417 + 0*c**2 + 0*c**2 + 4202*c**3 - 28571094 wrt c.
25212*c
Let m(v) = 9*v**2 - 41*v - 64. Let y be m(6). Let n(f) be the second derivative of 0 + 6*f**2 + 4/3*f**3 - y*f. Find the first derivative of n(p) wrt p.
8
Let n(t) be the third derivative of -t**7/105 - 667*t**6/120 + t**5/20 + 10861*t**4/24 - 7447*t**2. What is the second derivative of n(c) wrt c?
-24*c**2 - 4002*c + 6
What is the second derivative of 1671*g - 5*g**3 - 683*g**2 + 642*g**2 + 64*g - 56*g wrt g?
-30*g - 82
Let w = -28 - -31. Suppose -c + 8 = w*c. Differentiate 10 + 7*k**2 + 5*k**4 + 14 - 7*k**c with respect to k.
20*k**3
Let h be (13/((-26)/28))/(0 - 2). Let n(r) = r + 8. Let a be n(-4). Differentiate 25*k**a - 4*k**4 - 15 + h*k**4 with respect to k.
112*k**3
Let v = 36 - 43. Let n(l) = -l**2 - 9*l - 6. Let s be n(v). Differentiate -11*m + s*m - m + 10*m + 7 wrt m.
6
Let j(y) = -y**2 - 18*y - 15. Let i be j(-14). Find the second derivative of 6 - 2*u**4 - 30*u**4 - 7 + i*u - 7*u**4 wrt u.
-468*u**2
Let u(v) = 3*v**3 + 5*v**2 + 2*v. Let c(m) = 9672*m**4 + 15*m**3 + 25*m**2 + 10*m + 7675. Let j(r) = c(r) - 5*u(r). What is the derivative of j(w) wrt w?
38688*w**3
Let t = -195 + 267. Find the first derivative of -t - 34*q + 10*q + 19*q + 20*q - 2*q**3 wrt q.
-6*q**2 + 15
Let a(m) = 5630*m**3 - 9*m + 11912. Let q(h) = -12667*h**3 + 20*h - 26802. Let x(y) = -20*a(y) - 9*q(y). Differentiate x(w) with respect to w.
4209*w**2
Let p(i) = -1. Let m(y) = 41*y + 24. Let w(k) = -27*k - 16. Let v(c) = -5*m(c) - 8*w(c). Let f(s) = -12*p(s) - 3*v(s). Differentiate
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{
"pile_set_name": "DM Mathematics"
}
|
2 wrt v.
1584*y**2
Differentiate 6*n**3*w**2 - 863*n**3 - 86*n*w**3 wrt w.
12*n**3*w - 258*n*w**2
What is the third derivative of 1416*a**4 + 539*a**2 wrt a?
33984*a
Find the third derivative of 27*j**3*n**3 + 2*j**3*n**2 + 12*j**2*n**3 + 1469*j**2*n**2 wrt n.
162*j**3 + 72*j**2
Find the third derivative of 23*a**5*y**2 - 28*a**4*y**3 - 335*a**2*y**3 wrt a.
1380*a**2*y**2 - 672*a*y**3
Differentiate 270*u**4 + 148 with respect to u.
1080*u**3
Differentiate 209*d**2 + 111 with respect to d.
418*d
What is the second derivative of -4*i**3*o - 32*i**2*o - 10*i*o - o wrt i?
-24*i*o - 64*o
What is the third derivative of -4*f**5 - 194*f**4 + 46*f**2 - 13 wrt f?
-240*f**2 - 4656*f
What is the third derivative of -514*a**6 + 287*a**2 wrt a?
-61680*a**3
Find the second derivative of -12*g*i**3*k**2 - g*i**3 - 634*g*i**2 - 514*g*i*k**2 + 2*g*k wrt k.
-24*g*i**3 - 1028*g*i
What is the second derivative of 13401*q**2 - 8124*q?
26802
What is the third derivative of -11092*c**4*h - 36*c**2*h + 17*c wrt c?
-266208*c*h
What is the third derivative of -3136*x**4 + 10*x**2 - 405*x?
-75264*x
Find the second derivative of 799*x**4 + 23*x - 3.
9588*x**2
What is the second derivative of 231*a**3*s**2 - 2*a**3*s - 7*a**3 + a**2 wrt s?
462*a**3
What is the third derivative of 68*d**6 - 2*d**3*i**2 - 5*d**3 - d**2 + 882*i**2 wrt d?
8160*d**3 - 12*i**2 - 30
What is the first derivative of -406*k - 288 wrt k?
-406
What is the second derivative of -4*u**4 + 92*u**3 - 8931*u?
-48*u**2 + 552*u
Find the third derivative of 179*a**3 + 17*a**2 wrt a.
1074
What is the third derivative of 1058*x**5 - 1258*x**2 + 2*x?
63480*x**2
Find the third derivative of -1465*o**6 + 179*o**2 + 3.
-175800*o**3
What is the third derivative of -5*s**4 - 121*s**3 + 8528*s**2?
-120*s - 726
What is the second derivative of 2556*j**2*y**2 - 90*j*y**2 - y**2 + y wrt j?
5112*y**2
What is the first derivative of 422*z**4 - z + 280?
1688*z**3 - 1
Differentiate -f**2*l + f*l*v + 55*f*l + f*v + 7*l*v - 14*l - 3*v with respect to f.
-2*f*l + l*v + 55*l + v
Find the second derivative of 19*g**2*x + 33*g**2 + 225*g*x + 4*g wrt g.
38*x + 66
Differentiate 2644*o**2 - 2*o - 5141 wrt o.
5288*o - 2
Find the third derivative of -560*h**4 + h**3 + 174*h**2 + h wrt h.
-13440*h + 6
Find the second derivative of -2*h**3*k**3 + 3*h**3 + 3*h*k + 34*k**4 - 2 wrt k.
-12*h**3*k + 408*k**2
Find the third derivative of -1528*u**6 - 2*u**2 - 275 wrt u.
-183360*u**3
Find the second derivative of 887*b**3 - 2*b**2*h**2 - 8*b**2*h + 4*b*h**2 + 82*b + 1 wrt b.
5322*b - 4*h**2 - 16*h
What is the derivative of -v**3 + 487*v**2 - 615 wrt v?
-3*v**2 + 974*v
Differentiate -33*u**2 - 8*u + 841.
-66*u - 8
What is the third derivative of 208*a**3*w**3 + 4*a**3*w + 2*w**3 - 62*w**2 wrt w?
1248*a**3 + 12
Find the third derivative of -247*m**3 - 5*m**2 - 6.
-1482
Find the third derivative of -21*r**2*v**3 + r**2 + 3*r*v**3 - 10*v**2 wrt v.
-126*r**2 + 18*r
What is the derivative of -2*h**2 - 909*h + 2005 wrt h?
-4*h - 909
What is the third derivative of 2475*p**4 - 6162*p**2?
59400*p
Differentiate -1328*v**2 + 72 with respect to v.
-2656*v
What is the second derivative of -t**3 - 82*t**2 + 215*t wrt t?
-6*t - 164
What is the second derivative of -16*r**3*s**2*x + 25*r**2*s**2*x - 3*r*s**2*x + 2*r*s**2 - 9*r*s*x + x wrt r?
-96*r*s**2*x + 50*s**2*x
What is the derivative of 36*m**2*r**2 - 12*m**2 - 3*m*r**2 wrt r?
72*m**2*r - 6*m*r
What is the third derivative of 524*h**6 + 180*h**2 + 2 wrt h?
62880*h**3
What is the second derivative of -26*j*v**2 + 40*j*v + 57*v**2 - 20*v wrt v?
-52*j + 114
Differentiate -j**3 + 33*j**2 + 195.
-3*j**2 + 66*j
Find the third derivative of -28*k**4 - 14*k**3 - 510*k**2.
-672*k - 84
Differentiate 157*f + 208.
157
Find the third derivative of 1210*p**6 + 2*p**5 - 2*p**3 + 4236*p**2 wrt p.
145200*p**3 + 120*p**2 - 12
What is the second derivative of -2*y**3 - 121*y**2 + 122*y?
-12*y - 242
Find the first derivative of -52*h**2 + 274 wrt h.
-104*h
What is the derivative of 100*n**3*p - 4*n**3 + 29*p - 3 wrt n?
300*n**2*p - 12*n**2
What is the first derivative of 5*r**2*s**2 - 276*r**2 + 74*r*s**2 + s**2 wrt s?
10*r**2*s + 148*r*s + 2*s
What is the third derivative of 4442*g*j**3 - 3*g + 30*j**2 - 9 wrt j?
26652*g
Differentiate -3*k**3*m*r**2 - k**3 - 2*k**2*r**2 + m**2 - 13*m*r**2 - 2*r**2 + 98*r wrt m.
-3*k**3*r**2 + 2*m - 13*r**2
Differentiate -147*b - 57.
-147
What is the derivative of a**2*c*i + 9*a**2*d*i + 81*a**2 + a*c*d*i + 2*c*d*i - 2*c*i wrt d?
9*a**2*i + a*c*i + 2*c*i
Find the third derivative of -752*r**4 + 436*r**2.
-18048*r
What is the third derivative of 5*b**3*h**2*t**3 + 104*b**3*t**3 + 23*b**2*h**2*t**3 + 4*b**2*h**2*t - b**2*h*t**3 + 2*b*t**3 wrt b?
30*h**2*t**3 + 624*t**3
Find the first derivative of 2039*w + 2286.
2039
What is the third derivative of 2*m**4 + 156*m**3 + m**2 - 106 wrt m?
48*m + 936
What is the third derivative of 4114*o**6 - 5627*o**2 wrt o?
493680*o**3
Find the first derivative of -k**4 - 347*k**3 + 31*k - 21730 wrt k.
-4*k**3 - 1041*k**2 + 31
What is the third derivative of -2*m**3*t**3*z**3 - 6*m**3*t**2*z**3 - 4*m**3*t*z - 38*m**2*t**3*z**2 - 2*m*z**3 wrt t?
-12*m**3*z**3 - 228*m**2*z**2
What is the third derivative of -o**4*p**2 + 31*o**4 - o**3*p - 3*o**2*p**2 - 30*o**2 - 3*o wrt o?
-24*o*p**2 + 744*o - 6*p
What is the third derivative of 283*c**5 + 17*c**4 - 2*c**2 - 1920 wrt c?
16980*c**2 + 408*c
What is the derivative of 5*f*s**3 - 65*f*s**2 - 2475*s**3 wrt f?
5*s**3 - 65*s**2
What is the third derivative of 12304*j**3*n**3 - 1329*j**3*n**2 + 5*j**3 wrt n?
73824*j**3
Differentiate 338*b**4*p**2 + 1193*p**2 with respect to b.
1352*b**3*p**2
Find the second derivative of -3*d**3*f**2*n - 83*d**3 + 18*d*f**2 - 2*f - 2*n wrt f.
-6*d**3*n + 36*d
Differentiate -315*f**3 - f**2 + 3*f + 6309 wrt f.
-945*f**2 - 2*f + 3
Find the second derivative of 9*b**3 - 35*b**2*x + b**2 + 10*b - 5*x wrt b.
54*b - 70*x + 2
What is the derivative of -2*q**2 + 37*q*r + 83*r - 1 wrt q?
-4*q + 37*r
Find the second derivative of 18*m**2*z**2 - 156*m**2 + 12*m*z**2 - 5*m*z + 3*z**2 - 2*z wrt z.
36*m**2 + 24*m + 6
What is the derivative of -10864*a**2*d**4 - a**2 + 45*a + 2 wrt d?
-43456*a**2*d**3
What is the second derivative of 28*s**2 - 597*s?
56
What is the second derivative of -f**3*l - 3*f**3 - 547*f**2*l - 7*f*l + 24*f - 2*l + 2 wrt f?
-6*f*l - 18*f - 1094*l
Find the second derivative of -g**4 + 12*g**2*q - 2*g**2 - 208*g*q + g wrt g.
-12*g**2 + 24*q - 4
Find the second derivative of 14*z**3 + 11*z**2 + 1312*z.
84*z + 22
Find the second derivative of -10*b**3*h*u**2 - 2*b**3*h*u + 63*b**3*h - b**3*u + 143*b**2*h*u**2 - 3*b**2*h*u - b*h*u wrt u.
-20*b**3*h + 286*b**2*h
Find the third derivative of 3*i**6 - 8*i**5 - 65*i**2 + i wrt i.
360*i**3 - 480*i**2
Find the third derivative of i**3*t**5 - 2*i**3*t**2 + 5*i**2*t**5 + i - 11*t**2 wrt t.
60*i**3*t**2 + 300*i**2*t**2
What is the second derivative of 77*g**5 - 2*g**3 + 3*g**2 - 2012*g + 3?
1540*g**3 - 12*g + 6
What is the second derivative of -77*k**3 + 75*k**2 + 2*k + 1613?
-462*k + 150
What is the third derivative of 10*b**5 + 2*b**3 + 2*b**2 + 16?
600*b**2 + 12
Find the second derivative of i**3*q**2 + 185*i**2*q**3 - i**2*q - 7*i**2 + 779*i*q**3 wrt i.
6*i*q**2 + 370*q**3 - 2*q - 14
Find the third derivative of 2*n*o**4*x**2 - 8*n*o**4 - 4*n*o**3*x - 2*n*o*x**2 - n*x**2 + 3*o**2*x**2 wrt o.
48*n*o*x**2 - 192*n*o - 24*n*x
Find the first derivative of -4*c**4 - 101*c - 15365 wrt c.
-16*c**3 - 101
What is the second derivative of 266*p**4 + p**3 - 4682*p?
3192*p**2 + 6*p
What is the second derivative of 1738*g**4 - 1495*g?
20856*g**2
Find the second derivative of -96*f**3*x**2 - 256*f**3*x + 12*f*x**4 - 3 wrt x.
-192*f**3 + 144*f*x**2
Find the first derivative of 75*w + 635 wrt w.
75
Differentiate -3*a**3 + a**2 + 6*a - 5042.
-9*a**2 + 2*a + 6
What is the second derivative of 2*j**2*s**2 - 1039*j**2*s - 3*j*s**2 - j + 2*s + 78 wrt j?
4*s**2 - 2078*s
Differentiate -819*c + 25.
-819
Find the second derivative of 13258*c**2 + 10354*c wrt c.
26516
What is the third derivative of 3*a**2*c**3*s**2 + 2*a**2*c**3 + a**2 - 2*a*c*s**2 - c**2 - 22*s**2 wrt c?
18*a**2*s**2 + 12*a**2
What is the derivative of o**3 - 261*o - 460?
3*o**2 - 261
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5
What is the p'th term of -10, -21, -46, -91, -162, -265, -406?
-p**3 - p**2 - p - 7
What is the s'th term of -102, -124, -136, -132, -106, -52, 36, 164?
s**3 - s**2 - 26*s - 76
What is the o'th term of 46, 85, 124?
39*o + 7
What is the i'th term of 187, 376, 565, 754, 943, 1132?
189*i - 2
What is the l'th term of -98, -278, -562, -938, -1394?
2*l**3 - 64*l**2 - 2*l - 34
What is the z'th term of 17, 6, -5, -16, -27, -38?
-11*z + 28
What is the q'th term of -29, -15, 1, 19, 39?
q**2 + 11*q - 41
What is the w'th term of 604, 1213, 1822, 2431, 3040?
609*w - 5
What is the m'th term of 14, -7, -54, -139, -274?
-2*m**3 - m**2 - 4*m + 21
What is the p'th term of -941, -942, -943?
-p - 940
What is the p'th term of 32, 65, 98?
33*p - 1
What is the t'th term of -44, -142, -292, -488, -724?
t**3 - 32*t**2 - 9*t - 4
What is the d'th term of -4, -10, -30, -70, -136, -234?
-d**3 - d**2 + 4*d - 6
What is the s'th term of -40, -84, -128?
-44*s + 4
What is the f'th term of 135, 269, 403?
134*f + 1
What is the k'th term of -7, -12, -15, -16, -15, -12?
k**2 - 8*k
What is the o'th term of -25924, -51847, -77770, -103693, -129616?
-25923*o - 1
What is the k'th term of -16707, -16705, -16703, -16701, -16699?
2*k - 16709
What is the w'th term of 1, -15, -21, -11, 21?
w**3 - w**2 - 20*w + 21
What is the h'th term of -21, -31, -33, -27?
4*h**2 - 22*h - 3
What is the p'th term of 239, 941, 2113, 3755?
235*p**2 - 3*p + 7
What is the f'th term of -295, -248, -201, -154, -107, -60?
47*f - 342
What is the v'th term of -37, -28, -19?
9*v - 46
What is the u'th term of 63, 276, 635, 1140, 1791, 2588?
73*u**2 - 6*u - 4
What is the r'th term of -104, -131, -158?
-27*r - 77
What is the k'th term of 189, 388, 591, 798?
2*k**2 + 193*k - 6
What is the h'th term of -13, 35, 73, 95, 95?
-h**3 + h**2 + 52*h - 65
What is the z'th term of 4243, 4234, 4213, 4174, 4111, 4018?
-z**3 - 2*z + 4246
What is the l'th term of 2, -10, -38, -88, -166, -278, -430?
-l**3 - 2*l**2 + l + 4
What is the y'th term of 327, 309, 279, 237, 183, 117, 39?
-6*y**2 + 333
What is the j'th term of 51, 100, 149, 198, 247?
49*j + 2
What is the g'th term of 833, 831, 829, 827, 825, 823?
-2*g + 835
What is the s'th term of -2, 18, 50, 94?
6*s**2 + 2*s - 10
What is the d'th term of 613, 587, 561, 535?
-26*d + 639
What is the q'th term of 169, 327, 485?
158*q + 11
What is the x'th term of -484, -1909, -4284, -7609?
-475*x**2 - 9
What is the c'th term of -69, -108, -145, -180, -213, -244, -273?
c**2 - 42*c - 28
What is the x'th term of -488, -482, -464, -428, -368?
x**3 - x - 488
What is the u'th term of 404, 412, 430, 464, 520, 604, 722?
u**3 - u**2 + 4*u + 400
What is the f'th term of 52, 73, 94, 115, 136, 157?
21*f + 31
What is the m'th term of -395, -452, -495, -518, -515, -480, -407, -290?
m**3 + m**2 - 67*m - 330
What is the w'th term of 222, 450, 678, 906?
228*w - 6
What is the m'th term of 1471, 2917, 4351, 5767, 7159, 8521?
-m**3 + 1453*m + 19
What is the t'th term of -16, -14, -10, -4?
t**2 - t - 16
What is the b'th term of 23, 28, 33, 38, 43, 48?
5*b + 18
What is the i'th term of 390, 783, 1176, 1569, 1962?
393*i - 3
What is the i'th term of -3447, -3448, -3449, -3450, -3451?
-i - 3446
What is the z'th term of -4, -10, -16, -22?
-6*z + 2
What is the l'th term of 257, 239, 221, 203?
-18*l + 275
What is the a'th term of 12, 9, 10, 21, 48?
a**3 - 4*a**2 + 2*a + 13
What is the p'th term of 4, -23, -98, -245, -488, -851?
-4*p**3 + p + 7
What is the c'th term of -437, -401, -365, -329?
36*c - 473
What is the c'th term of -4285, -4286, -4287, -4288, -4289, -4290?
-c - 4284
What is the a'th term of 244, 251, 258, 265?
7*a + 237
What is the z'th term of -82, -165, -248, -331, -414?
-83*z + 1
What is the m'th term of 19, 21, 25, 31, 39, 49?
m**2 - m + 19
What is the n'th term of -13, 12, 85, 230, 471, 832, 1337?
4*n**3 - 3*n - 14
What is the v'th term of -15, -7, 15, 57, 125?
v**3 + v**2 - 2*v - 15
What is the y'th term of -27, -56, -85?
-29*y + 2
What is the o'th term of -592, -593, -594?
-o - 591
What is the n'th term of 6, 35, 84, 153, 242, 351?
10*n**2 - n - 3
What is the n'th term of 111, 116, 121?
5*n + 106
What is the r'th term of -174, -201, -240, -285, -330, -369?
r**3 - 12*r**2 + 2*r - 165
What is the z'th term of -22, 0, 22, 44?
22*z - 44
What is the y'th term of 46, 94, 142?
48*y - 2
What is the u'th term of 67, 97, 175, 325, 571, 937, 1447, 2125?
4*u**3 + 2*u + 61
What is the s'th term of 108, 209, 310, 411?
101*s + 7
What is the c'th term of -29, -70, -139, -236, -361, -514?
-14*c**2 + c - 16
What is the p'th term of 0, 0, -2, -6, -12?
-p**2 + 3*p - 2
What is the v'th term of 81, 161, 241, 321?
80*v + 1
What is the z'th term of 52, 157, 332, 589, 940, 1397, 1972, 2677?
2*z**3 + 23*z**2 + 22*z + 5
What is the n'th term of 358, 720, 1082, 1444, 1806?
362*n - 4
What is the o'th term of 112, 220, 328?
108*o + 4
What is the o'th term of -102, -204, -306, -408, -510, -612?
-102*o
What is the r'th term of -96, -77, -46, -3, 52, 119?
6*r**2 + r - 103
What is the q'th term of -34, -85, -156, -253, -382, -549, -760, -1021?
-q**3 - 4*q**2 - 32*q + 3
What is the i'th term of -29, -48, -69, -92, -117?
-i**2 - 16*i - 12
What is the u'th term of -391, -393, -395, -397, -399?
-2*u - 389
What is the k'th term of -182, -220, -258, -296, -334?
-38*k - 144
What is the i'th term of 17, 40, 101, 218, 409, 692?
3*i**3 + i**2 - i + 14
What is the o'th term of 169, 333, 503, 679, 861, 1049?
3*o**2 + 155*o + 11
What is the m'th term of -34, -63, -92, -121, -150?
-29*m - 5
What is the p'th term of 16, -3, -20, -35, -48?
p**2 - 22*p + 37
What is the n'th term of 634, 636, 638, 640, 642?
2*n + 632
What is the b'th term of -14, -11, -8, -5, -2, 1?
3*b - 17
What is the p'th term of -439, -879, -1319, -1759, -2199?
-440*p + 1
What is the k'th term of 17, 75, 173, 311, 489, 707?
20*k**2 - 2*k - 1
What is the f'th term of -28, -42, -66, -106, -168, -258, -382?
-f**3 + f**2 - 10*f - 18
What is the l'th term of 17, 25, 33, 41, 49?
8*l + 9
What is the a'th term of -23, -34, -47, -62, -79?
-a**2 - 8*a - 14
What is the a'th term of -242, -490, -738, -986?
-248*a + 6
What is the y'th term of 25, 33, 53, 91, 153, 245?
y**3 + y + 23
What is the s'th term of 26, 39, 64, 107, 174?
s**3 + 6*s + 19
What is the o'th term of 25, 44, 57, 64, 65, 60, 49?
-3*o**2 + 28*o
What is the n'th term of 37, 183, 423, 757, 1185, 1707?
47*n**2 + 5*n - 15
What is the u'th term of 53, 104, 155, 206, 257, 308?
51*u + 2
What is the i'th term of 704, 703, 702, 701, 700, 699?
-i + 705
What is the r'th term of -106, -111, -116, -121?
-5*r - 101
What is the k'th term of 283, 284, 285, 286?
k + 282
What is the m'th term of 430, 398, 356, 298, 218?
-m**3 + m**2 - 28*m + 458
What is the u'th term of 43, 54, 65?
11*u + 32
What is the l'th term of -48, -93, -128, -147, -144, -113, -48, 57?
l**3 - l**2 - 49*l + 1
What is the d'th term of 1816, 3647, 5490, 7351, 9236?
d**3 + 1824*d - 9
What is the i'th term of -52, -110, -180, -268, -380, -522?
-i**3 - 51*i
What is the s'th term of -10, -22, -42, -70, -106, -150?
-4*s**2 - 6
What is the s'th term of -932, -1862, -2792, -3722?
-930*s - 2
What is the d'th term of 162, 309, 470, 651, 858?
d**3 + d**2 + 137*d + 23
What is the p'th term of 2705, 5413, 8121, 10829, 13537, 16245?
2708*p - 3
What is the y'th term of 647, 1293, 1939?
646*y + 1
What is the q'th term of -74, -67, -56, -41?
2*q**2 + q - 77
What is the f'th term of 68, 106, 140, 164, 172, 158, 116?
-f**3 + 4*f**2 + 33*f + 32
What is the m'th term of 6, 8, 12, 18?
m**2 - m + 6
What is the w'th term of -230, -506, -782, -1058, -1334, -1610?
-276*w + 46
What is the p'th term of 28, 60, 142, 298, 552, 928?
4*p**3 + p**2 + p + 22
What is the p'th term of -66, -79, -102, -141, -202, -291, -414?
-p**3 + p**2 - 9*p - 57
What is the s'th term of -14, -27, -36, -41, -42, -39?
2*s**2 - 19*s + 3
What is the h'th term of 157, 156, 153, 148, 141, 132, 121?
-h**2 + 2*h + 156
What is the g'th term of -2140, -8552, -19240, -34204, -53444, -76960, -104752?
-2138*g**2 + 2*g - 4
What is the x'th term of 3, 11, 25, 45?
3*x**2 - x + 1
What is the l'th term of 37, -63, -229, -461, -759?
-33*l**2 - l + 71
What is the h'th term of -578, -1173, -1768, -2363, -2958?
-595*h + 17
What is the g'th
|
{
"pile_set_name": "DM Mathematics"
}
|
) + 3*i(v). Factor k(a).
3*(a + 1)*(a + 8)
Let w = -3344185/11 + 304017. Solve w*m**2 - 10/11*m + 8/11 = 0 for m.
1, 4
Suppose 5*o + q + 178 - 64 = 0, 88 = -4*o - 4*q. Let l be 32 + o + 2*-3. Suppose 10/9*k**4 - 8/9 - 2/9*k**5 - 2/9*k**2 - 14/9*k**l + 16/9*k = 0. What is k?
-1, 1, 2
Let i(r) be the second derivative of 12*r**2 + 4/5*r**6 + 19/2*r**4 - 1/14*r**7 - 14*r**3 + 0 + 51*r - 15/4*r**5. Factor i(q).
-3*(q - 2)**3*(q - 1)**2
Let a be (4 - -1)*24/10. Suppose -7*x - 45 = -a*x. Solve -x - 25*r + 2 - 13 - 5*r**2 = 0.
-4, -1
Find p such that -312*p**2 - 3 + 147*p**4 - 180*p + 1277*p**2 - 539*p**2 - 420*p**3 + 30 = 0.
3/7, 1
Let g(u) be the first derivative of 28 + 1250/9*u + 2/27*u**3 - 50/9*u**2. Factor g(f).
2*(f - 25)**2/9
Suppose -240218*y + 240094*y + 372 = 0. Suppose -1/2*d**5 - 25 + 5*d**3 - 26*d**2 - 105/2*d + y*d**4 = 0. Calculate d.
-2, -1, 5
Let z(k) be the third derivative of -k**5/30 + 7*k**4 - 83*k**3/3 + 497*k**2. Factor z(i).
-2*(i - 83)*(i - 1)
Let i(r) be the second derivative of r**4/6 + 445*r**3/3 - 894*r**2 - 11*r + 314. Factor i(z).
2*(z - 2)*(z + 447)
Let p(z) be the third derivative of 5*z**7/28 - 21*z**6/8 + 57*z**5/5 - 79*z**4/8 + 15*z**3/4 - z**2 - 27*z + 32. What is r in p(r) = 0?
1/5, 3, 5
Let t be 0/(-1*(2 + 0)). Suppose -10*l = 5*j - 9*l - 244, -j + 64 = 4*l. Find b, given that 4*b**4 - 23*b + j*b**2 + 0*b**4 + t*b**3 - 9*b - 24*b**3 = 0.
0, 2
Suppose 0 = -3*r + 3, -3*s - 77*r + 78*r = 1. Let m(z) be the second derivative of 0*z**2 + s*z**3 + 0 + 1/5*z**5 - 9*z + 0*z**4. Factor m(c).
4*c**3
Suppose 0 = -2*s + 4*i + 8, -5*i = s + 6 - 3. Find u, given that -8*u**3 - 23*u**3 - 25*u - 4*u**3 + 5*u**4 + 55*u**s = 0.
0, 1, 5
Let a(n) be the first derivative of -n**3/4 - 3*n**2/8 + 3*n/2 - 1376. Find p such that a(p) = 0.
-2, 1
Let q(n) be the third derivative of -2 + 3/40*n**6 - 3/8*n**4 - 13*n**2 + 0*n - 1/4*n**5 + 2*n**3 + 1/70*n**7. What is l in q(l) = 0?
-4, -1, 1
Let u(g) = 27*g**2 - 189*g - 2035. Let o(d) = 5*d**2 - d + 1. Let t(i) = 10*o(i) - 2*u(i). Suppose t(j) = 0. Calculate j.
-10, 102
Let o be 13/(-1)*(7 - (-966)/(-182) - 2). Solve -27/4*a**3 - 19/4*a**2 + 0 + a**5 - a - 2*a**o = 0 for a.
-1, -1/2, 0, 4
Let g(k) = 55*k**4 - 212*k**3 + 1782*k**2 - 4752*k + 4107. Let o(z) = -36*z**4 + 212*z**3 - 1782*z**2 + 4752*z - 4106. Let x(b) = 2*g(b) + 3*o(b). Factor x(f).
2*(f - 3)**2*(f - 2)*(f + 114)
Let u(w) be the first derivative of 2*w**6/3 + 12*w**5 + 63*w**4 + 108*w**3 + 78. Let u(n) = 0. Calculate n.
-9, -3, 0
Suppose -l - 9*l + 45 = -3*a - 7*l, 17*l - 289 = 0. Factor 2/3*g**3 + 19/2*g - 14/3*g**a - 6.
(g - 4)*(2*g - 3)**2/6
Suppose -310 = -23*l + 472. Suppose -l*p + 102 = -0*p. Factor -2/3*w**4 + 0*w + 0 + 4/3*w**2 + 2/3*w**p.
-2*w**2*(w - 2)*(w + 1)/3
Let d(q) be the second derivative of q**6/6 - 5*q**5/4 - 140*q**4/3 - 490*q**3/3 - 1019*q. Determine m so that d(m) = 0.
-7, -2, 0, 14
Let a(k) be the third derivative of -k**5/180 + 365*k**4/72 - 521*k**2. Factor a(l).
-l*(l - 365)/3
Determine x, given that 110592 + 168*x**2 - 2007*x - 6350*x + 195*x**2 + 1121*x - 5436*x = 0.
192/11
Let l(j) be the second derivative of -j**5/12 - 25*j**4/24 - 5*j**3 - j**2/2 - 14*j. Let x(y) be the first derivative of l(y). Factor x(f).
-5*(f + 2)*(f + 3)
Suppose 3*j - 31 = -5*i, 2*i = 13 - 3. Determine y so that -18*y + 41 + y**2 + 0*y**j + 0 + 4 = 0.
3, 15
Let g be ((-11 - -3)/(-4))/((-16)/(-24)). Determine t so that -18 + 2*t**5 + 10*t**4 - 6*t**3 + 20*t**2 - 12*t**4 + 2*t**g + 18*t - 16*t**3 = 0.
-3, -1, 1, 3
Let s(w) be the third derivative of w**6/300 - 8*w**5/75 - 77*w**4/60 - 4*w**3 + w**2 + 1549*w. Factor s(n).
2*(n - 20)*(n + 1)*(n + 3)/5
Let i(j) be the third derivative of -5*j**8/336 - j**7/6 + j**6/12 + 23*j**5/6 - 325*j**4/24 + 125*j**3/6 - 62*j**2. Factor i(w).
-5*(w - 1)**3*(w + 5)**2
Solve 135*f - 9/2*f**4 - 54*f**2 - 39*f**3 - 75/2 = 0.
-5, 1/3, 1
Let d be 1/(-2)*0/151. Let u(c) be the first derivative of d*c**4 - 18/7*c**2 - 22/21*c**3 - 16/7*c + 2/35*c**5 + 6. Find k, given that u(k) = 0.
-2, -1, 4
Let s be ((-14)/(-28))/(1/6). Find v such that 985*v**s + 4*v**4 + 28*v**2 - 32 - 1009*v**3 + 5*v + 27*v - 8*v = 0.
-1, 1, 2, 4
Let n be ((-38)/(-475))/((-20)/(-110) - 12/(-55)). Solve -9/5*g - 14/5 - n*g**2 = 0.
-7, -2
Let v be -38 + 87 - (5 + -2). Suppose -38*z**3 + 40*z**2 - 12 + 27*z**3 + 29*z**3 - v*z = 0. Calculate z.
-3, -2/9, 1
Let m be (186 + (-180700)/973)/(6/(-14) + 1). Solve -9/2*s**2 + 0 - m*s**3 - 4*s = 0.
-8, -1, 0
Suppose -124*f**2 - 30*f**3 - 184/3*f + 54*f**4 - 16/3 = 0. What is f?
-2/3, -1/9, 2
Suppose 487 = 6*o + 259. Factor 18*p**2 - 17*p**2 + o - 20 - 9*p.
(p - 6)*(p - 3)
Suppose 0 = 53*b + 54 - 266. Let t(u) be the second derivative of 1/90*u**b + 0 - 4*u - 4/15*u**2 + 0*u**3. Factor t(y).
2*(y - 2)*(y + 2)/15
Let f = -564802 + 273364895/484. Let l = f - 1/484. Suppose -3/2*n**2 + l*n**3 - 3/2*n + 3/2 = 0. What is n?
-1, 1
Suppose 12*d + 2*d = 14. Suppose -65*b - d = -1. Factor 0 - 2/9*a**3 + 0*a**2 + 2/9*a**5 + b*a + 0*a**4.
2*a**3*(a - 1)*(a + 1)/9
Let w be (-1)/2 + 45/10. Factor -2*a + 5*a + w*a - 4*a**3 + a + 4*a**2.
-4*a*(a - 2)*(a + 1)
Let a(r) be the first derivative of -2*r**5/15 + 7*r**4/3 - 106*r**3/9 + 16*r**2/3 + 56*r + 5334. Solve a(s) = 0 for s.
-1, 2, 6, 7
Let a(f) = 11*f**4 - 11*f**3 - 2*f**2 - 4. Let l(g) = -9*g**4 + 9*g**3 + 3*g**2 + 3. Let o(k) = 3*a(k) + 4*l(k). Suppose o(h) = 0. What is h?
-1, 0, 2
Let t(p) be the first derivative of 5/6*p**4 - 4 + 1/12*p**5 + 10/3*p**3 + 0*p - 39/2*p**2. Let c(z) be the second derivative of t(z). Solve c(j) = 0.
-2
Suppose 0 = 59*g - 42*g - 255. Suppose 5*s - y = 25, 16*s - y + g = 19*s. Solve 3*j**4 + 0*j + 4/3*j**s + 1/3*j**2 + 2*j**3 + 0 = 0 for j.
-1, -1/4, 0
Suppose -2*l + 0*d + 7 = -3*d, l = d + 3. Factor -152*y**3 - 4*y**l + 148*y**3 - 2*y + 0*y**4 - y**4 - y**2.
-y*(y + 1)**2*(y + 2)
Suppose -9*f + 2*f = -105. Suppose 180*s**3 + 170*s**2 + 37*s**5 - f*s**5 + 21*s**4 + 55*s + 49*s**4 - 17*s**5 = 0. What is s?
-11, -1, 0
Let a(o) be the second derivative of 0 + 0*o**2 + 0*o**3 + 62*o - 1/70*o**5 + 1/14*o**4. Factor a(c).
-2*c**2*(c - 3)/7
Let l(f) = -3*f**2 + 18*f - 45. Let s be l(3). Let g be 29 + -23 + 100/s. Factor 2/3 - 2/9*j**2 + g*j.
-2*(j - 3)*(j + 1)/9
Determine t so that -11305*t + 54473 - 71*t**2 + 826*t**2 - 14048 + 5*t**3 = 0.
-165, 7
Let c(w) = -3*w**4 + w**3 + 2*w**2 - 4*w + 1. Let l(t) = 16*t**4 + 13*t**3 + 59*t**2 - 68*t - 5. Let a(k) = -10*c(k) - 2*l(k). Factor a(q).
-2*q*(q - 1)*(q + 8)*(q + 11)
Let y(q) be the first derivative of 5*q**3/3 - 565*q**2/2 - 1879. Factor y(p).
5*p*(p - 113)
Let g(p) = 27*p**4 + 501*p**3 + 232*p**2 + 20*p + 5. Let s(q) = q**4 - q**3 + 2*q**2 + 2*q - 1. Let b(t) = -g(t) - 5*s(t). Factor b(k).
-2*k*(k + 15)*(4*k + 1)**2
Let g(h) be the first derivative of 1/3*h**3 - 27/2*h**2 + 0*h + 186. Factor g(o).
o*(o - 27)
Let o(c) be the first derivative of 0*c**2 - 6 + 0*c**4 + 1/20*c**5 - 10*c - 1/6*c**3. Let a(n) be the first derivative of o(n). Factor a(w).
w*(w - 1)*(w + 1)
Suppose 88 = -a + 92. Suppose 604*s - 299*s - 305*s - 5*s**a + 5*s**2 = 0. What is s?
-1, 0, 1
Let n(c) be the second derivative of 1/3*c**3 + 1/3*c**4 + 0*c**5 + 0*c**2 - 2/15*c**6 + 37*c + 0 - 1/21*c**7. Determine v, given that n(v) = 0.
-1, 0, 1
Factor -13428/7*p**2 - 5604672636/7 + 15025932/7*p + 4/7*p**3.
4*(p - 1119)**3/7
Let b(i) be the second derivative of -7*i**5/5 - 1027*i**4/3 + 196*i**3 - 831*i. Suppose b(o) = 0. Calculate o.
-147, 0, 2/7
Factor 224*g**2 - 1520*g + 145*g**2 + 20*g**3 + 70 + 367*g**2 - 144*g**2 + 442.
4*(g - 2)*(g + 32)*(5*g - 2)
Solve -1/3*s + 6*s**2 + 1/3*s**3 - 6 = 0 for s.
-18, -1, 1
Let z(x) = x**2 - 411*x - 4022. Suppose -2*p + 2*h = 26, -13*p = -11*p + h + 20. Let y(r) = -r**2 + 206*r + 2012. Let l(t) = p*y(t) - 6*z(t). Factor l(w).
5*(w + 20)**2
Let f(a) be the third derivative of -a**7/420 - 2*a**6/45 + 3*a**5/20 - 81*a**3/2 - a**2 - 20. Let b(v) be the first derivative of f(v). Factor b(p).
-2*p*(p - 1)*(p + 9)
Suppose -112/3 + 2/9*x**3 + 28/9*x**2 - 310/9*x = 0. What is x?
-21, -1, 8
Let l(r) be the second derivative of -2*r + 2/5*r**2 - 1/15*r**4 + 1/25*r**5 - 52 - 2/15*r**3. Let l(x) = 0. What is x?
-1, 1
Let t(j) be the second derivative of j**4/15 + 164*j**3/3 - 822*j**2/
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{
"pile_set_name": "DM Mathematics"
}
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. Let v(m) be the third derivative of m**4/6 - 25*m**2. Determine s(v(j)).
-160*j**2
Let k(d) = -4*d**2. Let p(y) = -3*y**2. Let t(u) = -6*k(u) + 7*p(u). Let l(q) = 7*q. What is t(l(j))?
147*j**2
Let y(c) = c. Let r(h) = 12*h. Let d(v) = -2*r(v) + 27*y(v). Let m(u) = -3*u**2. Calculate d(m(o)).
-9*o**2
Let l(w) be the first derivative of w**3/3 + 18. Let z = 1 + 2. Let c(q) = -3*q - 2*q + z*q. Determine l(c(g)).
4*g**2
Let d(m) = -8*m**2. Let x(y) = -3*y + 3 - 3 + y**2. Let g(k) be the second derivative of k**4/12 - 5*k**3/6 - 10*k. Let v(a) = -3*g(a) + 5*x(a). Give d(v(t)).
-32*t**4
Let c(p) = 1 - 3 + 1. Let k(s) be the second derivative of -s**3/6 + 5*s**2/2 + s. Let u(x) = 5*c(x) + k(x). Let g(r) = r**2. What is u(g(b))?
-b**2
Let b(h) = h + 63. Let s(u) = -u**2. What is b(s(v))?
-v**2 + 63
Let k(p) be the first derivative of -23*p**2/2 - 29. Let c(a) = 2*a**2. Give c(k(n)).
1058*n**2
Let d(b) = 3*b - 2. Suppose 4*j + 3*s = 16, j + 1 = -5*s + 5. Let y(k) = -4*k + 3. Let m(c) = j*y(c) + 6*d(c). Let g(p) = 2*p. What is g(m(h))?
4*h
Let v(l) = 4*l**2. Let h(b) be the second derivative of 2*b**4/3 - 16*b. Give v(h(m)).
256*m**4
Let b(q) be the second derivative of -q**4/12 + 5*q**3/6 + 30*q. Let t(k) = k. What is t(b(d))?
-d**2 + 5*d
Let g(d) = d - 838. Let m(s) = s. Give m(g(l)).
l - 838
Let v(c) = 234*c. Let r(u) = -2*u**2. Determine v(r(f)).
-468*f**2
Let o(x) = -9*x - 5. Let g(m) = -14*m - 8. Let n(k) = 5*g(k) - 8*o(k). Let i(j) = 16*j. Give i(n(a)).
32*a
Let o(h) = -2*h. Let d(w) = 29*w. Give o(d(y)).
-58*y
Let u(x) = -x + 1. Let y(w) = 5*w - 2. Let n(i) = -2*u(i) - y(i). Let o(l) = -5*l. Determine o(n(c)).
15*c
Suppose 0 = -5*i - n + 22, 4 = 2*i - n - n. Let u(x) be the third derivative of 0*x**3 + 0 + i*x**2 + 0*x + 1/12*x**4. Let z(t) = -5*t. Calculate z(u(v)).
-10*v
Let j(g) = 58*g. Let o(q) = -7*q**2. What is o(j(u))?
-23548*u**2
Let b(s) = -159*s. Let t(z) = -2*z**2. Give t(b(x)).
-50562*x**2
Let p(o) = -2*o**2. Let g(z) be the second derivative of z**7/840 + z**4/12 + 4*z. Let d(u) be the third derivative of g(u). Determine p(d(h)).
-18*h**4
Let s(a) = a**2. Let c(l) be the second derivative of -l**4/12 - 2*l**3/3 - l**2/2 - l. Let h be c(-3). Let t(o) = -h*o**2 - 2*o**2 + 2*o**2. What is t(s(m))?
-2*m**4
Let y(i) be the second derivative of -i**3/2 - i. Let g(l) = -2*l**2. Determine y(g(z)).
6*z**2
Let w(q) = -6*q. Suppose -5*i + 0*g + g + 35 = 0, -2*i + 32 = -4*g. Suppose -4*m = 2*p - i*p - 16, 0 = 3*m - 12. Let j(y) = -y + p*y + 0*y. Determine w(j(a)).
6*a
Let b be (-2)/(-6) + 4/6. Let w(l) = l - 1. Let x(j) = 3*j - 2. Let d(q) = b*x(q) - 2*w(q). Let z(s) = 5*s - 2*s - 5*s. Calculate d(z(g)).
-2*g
Let q(i) = -i**2. Let v(u) = 126*u**2. Determine q(v(b)).
-15876*b**4
Let w(o) = 2*o. Let p be -1 - -4*(-1 + 4). Suppose 0 = -2*a + q + 13, -4*q - p = a - 31. Let r(j) = 8*j - a*j + j**2. What is r(w(y))?
4*y**2
Let g(x) = -2*x. Let h(q) = 2*q**2 + q + 104. Determine g(h(y)).
-4*y**2 - 2*y - 208
Let x(u) = -2*u. Let b = -8 + 15. Let n(d) = -b*d - 1 + 3 - 2. Give n(x(r)).
14*r
Let u(p) = -4*p**2 - 4*p. Let k(f) = 3*f**2. What is k(u(w))?
48*w**4 + 96*w**3 + 48*w**2
Let f(u) = u**2 - u. Let n(v) = 10*v**2 - 30*v. Let t(j) = -30*f(j) + n(j). Let i(h) = -h. What is t(i(a))?
-20*a**2
Let m(c) = 2*c. Suppose -28 = -4*p + 5*h, 2*h - 12 - 2 = -2*p. Let b(x) = -p*x - 3*x + 11*x. Calculate b(m(w)).
2*w
Let z(b) be the second derivative of -b**4/6 + b - 5. Let i(q) be the first derivative of -4*q**3 - 1. Give z(i(p)).
-288*p**4
Let m(g) = 2*g. Let h(c) be the second derivative of c**3/6 - 7*c. What is h(m(t))?
2*t
Let j(h) = h. Let p(i) = -3*i**2 - 3*i - 3. Let g(t) = -12*t**2 - 13*t - 13. Let f(n) = -6*g(n) + 26*p(n). Give j(f(z)).
-6*z**2
Let b(f) = 8*f**2. Let w(o) = -7*o + 5*o + 4*o. What is w(b(g))?
16*g**2
Let u(h) = -4*h**2. Let o(b) = -247*b. Calculate o(u(q)).
988*q**2
Let b(s) = 181*s**2 - 1. Let q(m) = 7*m. Calculate q(b(z)).
1267*z**2 - 7
Let h(c) = -2*c - 11. Let u(z) = z**2. Give h(u(f)).
-2*f**2 - 11
Let t(o) = 3*o**2 - 215*o + 215*o. Let p(l) = 3*l. Determine p(t(f)).
9*f**2
Let h(q) be the first derivative of q**2/2 + 1. Suppose -3*y - 3 = -3*v + 3, -3*v + 6 = 5*y. Let p(w) = 3*w + v - 4 + 2. Calculate p(h(c)).
3*c
Let o be 1*-3*(4 - 5). Let j(l) = 2*l - o*l + 3*l. Let x(d) = -d. Let c(s) = -8*s. Let p(h) = 2*c(h) - 20*x(h). Give p(j(z)).
8*z
Let j(c) be the first derivative of 0*c**2 - 5/3*c**3 + 0*c - 4. Let q(m) = -m**2. Determine q(j(f)).
-25*f**4
Let t(i) = -i**3 - 2*i**2 + i - 4. Let s be t(-3). Let v(p) = -p - 3*p + 4*p + s*p. Let u(r) = -2*r. Give u(v(a)).
-4*a
Let p(h) = 3*h. Let x(w) be the first derivative of -6 + 1/2*w**2 + 0*w. Calculate x(p(d)).
3*d
Let i(j) = 1. Let p(z) = -4*z + 16. Let c(w) = -16*i(w) + p(w). Let y(v) = -v**2. What is c(y(s))?
4*s**2
Let o(a) = -7038*a. Let f(g) = -g. Calculate f(o(j)).
7038*j
Let o(k) = 9*k - k - 5*k. Let x(z) = -z**2 - 7. Let w(h) = 2. Let s(d) = 7*w(d) + 2*x(d). Calculate o(s(c)).
-6*c**2
Let s(q) = 6*q. Let w(z) = -52*z**2 + 2*z + 54*z**2 - 2*z. Determine w(s(p)).
72*p**2
Let j(l) = 7*l - 5. Let h(a) = -6*a + 4. Let p(d) = 5*h(d) + 4*j(d). Let q(s) = -3*s. Determine p(q(g)).
6*g
Let i(y) = -4001*y. Let f(o) = -o. Determine i(f(c)).
4001*c
Let x(p) = p**2 + 1. Let t(j) = -9*j**2 - 1. Let g(l) = -3*t(l) - 3*x(l). Let r(w) = -w**2. Determine r(g(u)).
-576*u**4
Let j(m) = 4*m**2. Let p = 9 + -3. Let t(v) = -p*v + v + 3*v. Give j(t(r)).
16*r**2
Let d(y) = 4*y**2 - 2. Let f(a) = -5*a**2 + 3. Let x(p) = -3*d(p) - 2*f(p). Let j(n) = -n**2. Calculate j(x(k)).
-4*k**4
Let a(x) = 9*x**2. Let w(p) = p + 5. Let f(y) = 1. Let d(h) = 10*f(h) - 2*w(h). Give a(d(k)).
36*k**2
Let a(x) = 16*x. Let b(h) = -47*h**2 - 42*h**2 + 92*h**2. Calculate a(b(f)).
48*f**2
Let c(n) = -6*n + 5*n + 8*n. Let a(w) be the second derivative of -w**3/6 + 2*w. What is c(a(z))?
-7*z
Let w(f) = -9*f. Let u(a) = -a. Let g(q) = -15*q. Let m(n) = -g(n) + 5*u(n). Let x(o) = 3*m(o) + 4*w(o). Let d(k) = k + 2*k - 4*k. Determine d(x(c)).
6*c
Let s(j) = 5*j + j + 3*j - 7*j. Let w(o) = 8*o - 2. Determine w(s(n)).
16*n - 2
Let d(k) be the first derivative of -15*k**2/2 + 16. Let m(v) = 2*v. Determine d(m(u)).
-30*u
Let x(w) = -7*w**2 + 6*w - 6. Let p(t) = 2*t - 13*t**2 - 11 + 9*t + 0*t + 0*t. Let n(r) = -6*p(r) + 11*x(r). Let f(i) = -3*i**2. Give f(n(l)).
-3*l**4
Let f(d) = -18*d**2. Let k(i) = i. Let p(b) = 8*b. Let h(r) = -6*k(r) + p(r). What is h(f(o))?
-36*o**2
Let n(u) = -21*u. Let g(w) = 29*w**2 - 2. Determine n(g(b)).
-609*b**2 + 42
Let f(u) = -36*u**2 - 13. Let s(k) = -2*k. Give s(f(y)).
72*y**2 + 26
Let h(x) = -x**2 - x. Let j(f) = 10*f**2 + 12*f. Let k(d) = -12*h(d) - j(d). Let c(q) = -5*q - 2*q + 7*q + 2*q**2. Give c(k(p)).
8*p**4
Let r(g) = 2*g**2. Let p(u) = 337*u**2. What is r(p(a))?
227138*a**4
Let w(d) = -d. Suppose 2*y = y. Let n(k) = -k + y*k - k + k. Determine w(n(i)).
i
Let i(j) = -2*j**2. Let r(c) = -2*c**2 + 0*c**2 - 2*c**2 + 0*c**2. Calculate r(i(w)).
-16*w**4
Let d(r) = -3*r**2 + 5*r + 5. Let c(j) = 2*j**2 - 4*j - 4. Let x(n) = n - 4. Let y be x(0). Let q(z) = y*d(z) - 5*c(z). Let h(u) = u. Determine h(q(p)).
2*p**2
Let x(s) = -2*s - 10. Let v(y) be the third derivative of y**3/6 + 2*y**2. Let a(h) = -10*v(h) - x(h). Let z(c) = 12*c**2 - 5*c**2 - 10*c**2. Give a(z(r)).
-6*r**2
Let l(m) = -6*m. Let y(i) = 4*i**2 - 96*i. What is l(y(s))?
-24*s**2 + 576*s
Let a(g) = 137*g. Let v(q) = -4*q**2. What is a(v(z))?
-548*z**2
Let r(z) = -7*z**2. Let x(i) be the first derivative of 2*i**3 + 26. Calculate x(r(y)).
294*y**4
Let w(z) = -z + 1. Let l(d) = -d**2 - 6*d + 6. Let k(c) = -l(c) + 6*w(c). Let f(t) = t**2. Give f(k(s)).
s**4
Let d(w) = 2*w**2. Suppose -3*g + 9 = -12. Let n = -5 + g. Let o(s) = -2*s**n + s**2 - s**2 + s**2. Calculate d(o(z)).
2*z**4
Let z(c) = -18*c**2 + 45*c**2 - 26*c**2. Let q(b) = -9*b**2 - b. Calculate z(q(k)).
81*k**4 + 18*k**3 + k**2
Let x(i) = i. Let y(z) = 5*z. Let s(q) = -4*x(q) + y(q). Let r(v) = 2 - 3 - 6*v + 1. Determine s(r(o)).
-6*o
Let f(b) be the second derivative of b**3/3 - 2*b. Let z(r) be the second derivative of 2*r**3/3 - 3*r. Determine z(f(p)).
8*p
Let t(w) = 15*w**2 - 11. Let r(v) = 8*v**2 - 6. Let d(k) = 11*r(k) - 6*t(k). Let m(z) be the third derivative of -z**4/6
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{
"pile_set_name": "DM Mathematics"
}
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) + 7*q(f).
-f
Let n(t) = -1. Let c(l) = -2*l + 17. Give -c(r) - 4*n(r).
2*r - 13
Suppose -4*b + 17 = 2*p - 3, -3*b - 3*p = -12. Let w(k) = 8*k**2 + 1 + b + 8*k + 5. Let r(d) = d**2 - 3*d + 1 + 4*d + 0. What is 10*r(t) - w(t)?
2*t**2 + 2*t - 2
Suppose -5*p + 0*p = 5. Let f(d) = -3*d**2 + 0*d**3 + 3 + 4*d - d + 4*d**3. Let v(k) = 0 + k - 2*k - k**3 - 1 + k**2. Calculate p*f(s) - 3*v(s).
-s**3
Let n(m) = m - 1. Let o(l) = -l**3 - 2*l**2 + 2*l + 2. Let j be o(-2). Let b be 11/((-33)/(-18)) - 5. Let x(t) = t - 3. What is b*x(f) + j*n(f)?
-f - 1
Let h(c) = -c**2 - 5. Let k(t) = 3*t**2 + 3 - 8*t**2 + 8*t**2 - 2*t**2. What is -6*h(u) - 10*k(u)?
-4*u**2
Let n(l) = 12*l**2 + 2*l + 3. Let y(r) = 12*r**2 + r + 2. Calculate 3*n(q) - 4*y(q).
-12*q**2 + 2*q + 1
Let p(d) = 8*d**2 + 3*d + 3. Let q(i) = 7*i**2 + 2*i + 2. Calculate -2*p(s) + 3*q(s).
5*s**2
Let o(x) = -x**2 + x + 1. Let a(l) = -15*l**2 + 8*l + 4. Give a(s) - 6*o(s).
-9*s**2 + 2*s - 2
Let o(c) = 9*c**2. Let p(b) = -b**2. What is 3*o(r) + 6*p(r)?
21*r**2
Suppose 0 = 5*b + 4*i + 4 + 5, 5*i = -2*b + 10. Let n(z) = 2*z - 4. Let r(j) = 6*j - 5. Let c(u) = u + 1. Let a(f) = -2*c(f) + r(f). Give b*n(y) + 3*a(y).
2*y - 1
Let l(y) = 4*y - 3. Let d be (-3 + 1)*(-2)/4. Let z(u) = -u + u - d + u. Suppose 2*n + 2 = -2*s - 0, -4*s = -5*n - 41. Calculate s*l(f) - 14*z(f).
2*f + 2
Let n(c) = 2*c + 6. Let y be ((-1)/(-2))/((-3)/(-36)). Suppose -2*b = 10 + y. Let g(o) = 1. Calculate b*g(d) + n(d).
2*d - 2
Let m(z) = 1 + 6*z + 7 + 2*z - 3. Let q(i) = 7*i + 4. What is 4*m(r) - 5*q(r)?
-3*r
Let u(h) = h**3 + 21*h**2 + 16*h - 11. Let r(t) = 4*t**2 + 3*t - 2. Determine -11*r(l) + 2*u(l).
2*l**3 - 2*l**2 - l
Let j(p) = 40*p**3 + 5*p**2 + 7*p - 7. Let w(b) = -20*b**3 - 2*b**2 - 3*b + 3. Determine 3*j(d) + 7*w(d).
-20*d**3 + d**2
Let j(b) = -b**3 - 6*b + 4. Let q(a) = a**3 + a - 1. Calculate j(z) + 4*q(z).
3*z**3 - 2*z
Let b(i) = -6*i**3 + 15*i**2 + 10*i + 11. Let o(t) = -t**3 + 3*t**2 + 2*t + 2. Determine 2*b(v) - 11*o(v).
-v**3 - 3*v**2 - 2*v
Suppose -43*r = -40*r + 9. Let c(q) = 3*q**2 + 2*q. Let f(p) = -3*p**2 - 2*p. Calculate r*c(u) - 2*f(u).
-3*u**2 - 2*u
Let i be -5*1*(-14)/35. Let c(z) = -2*z**2 - i*z**3 - 2*z**2 + 2*z**2. Let u(g) = -6*g**3 - 7*g**2. Determine -7*c(y) + 2*u(y).
2*y**3
Suppose b - 19 = -6*q + q, -2*q + 26 = 5*b. Let n(l) = -3*l**2 - 3*l - 3. Let p(y) = -y**3 - 5*y**2 - 5*y - 5. What is q*p(m) - 5*n(m)?
-3*m**3
Let x(t) = -5*t**2 - 8*t + 8. Let n(y) = y**2 + 4*y - 7. Let c(r) = 3*r**2 + 9*r - 14. Let z(l) = -3*c(l) + 5*n(l). Calculate -6*x(v) + 7*z(v).
2*v**2 - v + 1
Let q(g) = -g - 1. Let h(c) = 6*c + 5. Let l be -1*5 + 9 + -6. Give l*h(o) - 10*q(o).
-2*o
Let b(c) = c**3 + 5*c**2 + 5*c - 2. Let v be ((-2)/3)/(8/(-60)). Let s(p) = -p**3 - 6*p**2 - 6*p + 2. What is v*s(o) + 6*b(o)?
o**3 - 2
Let p(s) = -7*s**2 + 9*s. Let c(f) = f**2 + f. Calculate 6*c(g) + p(g).
-g**2 + 15*g
Let y(b) = -b - 26. Let v(u) = -2*u - 39. What is -5*v(z) + 8*y(z)?
2*z - 13
Let m(t) = 8*t**3 + 4*t**2 + 17. Let k(d) = -4*d**3 - 2*d**2 - 8. Give -13*k(w) - 6*m(w).
4*w**3 + 2*w**2 + 2
Let x(b) = -2*b - 5. Let v(o) be the first derivative of o + 30. Calculate 6*v(q) + x(q).
-2*q + 1
Let h(i) = -i + 1. Let p(a) = 6*a - 2. Let u be (-4)/(-14) - 61/(-7). Suppose 2*m = -m + u. Suppose 3*l - m*c = c + 4, -4*l = -4*c. Calculate l*h(w) - p(w).
-2*w - 2
Suppose 5 = x - 11. Let c = x - 17. Let a(m) = -m - 1. Let l(o) = o. What is c*l(g) + a(g)?
-2*g - 1
Let y(a) be the first derivative of a**4/4 + a**3/3 - a**2/2 - a + 7. Let c(g) = g**3 + 3*g**2 - 3*g - 6. Give -c(u) + 3*y(u).
2*u**3 + 3
Suppose 0 = 2*x + 3*o + 17, -5*x + 7*o - 3*o + 15 = 0. Let r(z) = -2*z**3 - 6*z**2 + 2. Let h(b) = -b**2. Determine x*r(w) + 5*h(w).
2*w**3 + w**2 - 2
Let l(o) = -2*o**2 + 2*o + 2. Suppose 4 = w - d, 6*w - w = -4*d + 2. Let a(x) = -8*x**2 + 9*x + 9. Calculate w*a(b) - 9*l(b).
2*b**2
Let f(p) = 7*p - 4. Let u(l) be the third derivative of -3*l**2 + 0*l - 1/24*l**4 + 0 + 1/6*l**3. Calculate f(o) + 6*u(o).
o + 2
Let c(z) = -5*z. Let i(m) = -2*m. Let w(a) = 3*c(a) - 8*i(a). Let t(d) = -d - 1. Suppose 3*f - 3 = 4*h, -2*f + 2 = -h - 0. Give f*t(r) + 2*w(r).
r - 1
Let f(d) = -3*d**2 + 7. Let a(k) = -11*k - k**2 + 2 + 11*k. Give 7*a(h) - 2*f(h).
-h**2
Let s(k) = -14*k + 2. Let x(l) = 9*l - 1. Let t = 81 - 86. Let j be (3/2)/((-6)/32). Give j*x(y) + t*s(y).
-2*y - 2
Let h = 1 - 10. Let w = 4 - 6. Let k(l) = -l. Let u(g) = g + 1. Let x(p) = w*k(p) - u(p). Let c(y) = 2*y - 2. Give h*x(f) + 4*c(f).
-f + 1
Let r(c) = 1. Let l(n) = -2*n - 13. Give -l(t) - 4*r(t).
2*t + 9
Let b = 12 - 13. Let u(i) = -1. Let y(w) = -w + 2. Determine b*y(z) - 3*u(z).
z + 1
Let y(k) = -11 + 11 + k. Let a(l) be the third derivative of l**3/3 - l**2. Suppose 2*q - 3 - 2 = -p, 2*p = -2*q + 4. Give p*a(o) - y(o).
-o - 2
Let a(u) = -70*u**2. Let b(r) = -5*r**2. Let g(n) = -n**3 + 3*n**2 + 11*n - 1. Let i be g(5). What is i*a(y) - 55*b(y)?
-5*y**2
Suppose 0*u + 15 = 3*u. Let w(y) = -u + 3 - 2 + y. Let g(d) = 2*d - 5. Give 2*g(b) - 3*w(b).
b + 2
Let h(w) = -w - 1. Suppose -4*g = -12, 3*j - 5*g - 6 = -45. Let d(p) = -6*p - 8. Determine j*h(l) + d(l).
2*l
Let u(s) = -s**3 + s**2 - 1. Let z(h) = -2*h**3 + h**2 - 1. Let o = 31 - 28. Give o*z(p) - 3*u(p).
-3*p**3
Let i(z) = -2*z**2 + z + 2. Let k(l) = -3*l**2 - 5*l + 8. Let h(s) = -s + 1. Let n(p) = 6*h(p) - k(p). Determine -5*i(m) - 4*n(m).
-2*m**2 - m - 2
Let r(b) = 8*b**3 - 6*b**2 + 6*b - 2. Let i(g) = -7*g**3 + 5*g**2 - 5*g + 1. Calculate -6*i(u) - 5*r(u).
2*u**3 + 4
Let f(z) = -3*z**2 - 4*z - 4. Let r(o) = o**2 + o + 1. Suppose 2*v + 21 = -5*n, -3*n - 3 = 4*v + 4. Suppose 0*a - 2*a = -v. What is a*f(m) + 4*r(m)?
m**2
Let s be 1*(66/(-10) - (-6)/10). Let w(t) = 4*t - 4. Let r(i) = -11*i + 11. Calculate s*r(l) - 17*w(l).
-2*l + 2
Let h = -10 - 4. Let o(l) = 21*l. Let k(d) = 7*d. Let y(x) = 11*k(x) - 4*o(x). Let v(m) = -20*m. Give h*y(s) + 5*v(s).
-2*s
Let r(b) = 2*b**3 - 7*b + 1. Let f(l) = -l**3 + 4*l - 1. Suppose -2*v - 3*v = 15. Let m = v - -8. Give m*f(w) + 3*r(w).
w**3 - w - 2
Let q be (-16)/(-24) - 64/(-3). Let t(y) = 5*y**3 - 11*y**2 - 11*y + 11. Let m(w) = -w**3 + 2*w**2 + 2*w - 2. Calculate q*m(l) + 4*t(l).
-2*l**3
Let n(u) = u + 1. Let v(w) = 4*w + 4. Let p(r) = 5*n(r) - v(r). Let l(m) = -8*m - 6. Calculate -l(c) - 6*p(c).
2*c
Let m(t) = -4 - t**2 + 6*t**2 + 27*t - 21*t. Let v(h) = -h - 1. Let p(u) = -9*u**2 - 15*u + 3. Let k(c) = -p(c) + 4*v(c). Determine 6*k(w) - 11*m(w).
-w**2 + 2
Let u(z) = z**3 - 5*z**2 - 9*z + 5. Let m(x) = -2*x**3 + 8*x**2 + 14*x - 8. Suppose -3*h = 4*g + 44, -4*g - 4*h = 18 + 30. Determine g*u(c) - 5*m(c).
2*c**3 + 2*c
Let l(u) = -17*u**3 + 9*u. Let k(x) be the third derivative of -x**6/15 + x**4/6 - 10*x**2. Calculate -9*k(y) + 4*l(y).
4*y**3
Let g(b) = -3*b**3 - 5*b**2 + 3*b + 3. Let q(n) = 4*n**3 + 7*n**2 - 4*n - 4. Determine -7*g(w) - 5*q(w).
w**3 - w - 1
Let j(f) = 6. Let n(c) = c + 3. What is -3*j(r) + 6*n(r)?
6*r
Let c(n) = 2*n + 92. Let z(j) = 3*j + 138. Calculate -8*c(y) + 5*z(y).
-y - 46
Let b(v) = -10*v**2 - 11*v. Let r(o) = 5*o**2 + 5*o. Let d(t) = 6*b(t) + 13*r(t). Let u(w) = -4*w**2 + w. Give 2*d(z) + 3*u(z).
-2*z**2 + z
Let h(q) = 9*q**2 - 5*q. Let z(t) = 26*t**2 - 14*t. What is 14*h(v) - 5*z(v)?
-4*v**2
Let g(v) = v**3 + v**2 - 7*v + 6. Let d(h) = -h + 1. Let c(q) = -q + 7. Let r be c(7). Suppose -2*f - 7 = 5*k, r = -f - k - 3 + 1. Give f*g(b) + 6*d(b).
-b**3 - b**2 + b
Let g(k) = -2*k + 3. Let z(p) = -4*p + 7. Determine -9*g(l) + 4*z(l).
2*l + 1
Let y(m) = -3*m. Let u(f) = 8*f. Suppose -29 = -3*l - 4*s, -25 = -2*l - l - 2*s. Determine l*y(a) + 3*u(a).
3*a
Let k(q) = -2 + 0 + 3 + q**2 + q. Let a(v) = 5*v**2 + 9*v + 6. Let s(y) = -5*y**2 - 8*y - 6. Let c(r) = -2*a(r) - 3*s(r). Let w = 3 - -3. Give w*k(j) - c(j).
j**2
Let t(c) = 26*c - 3. Let j(g) = 391*g - 46. What is -3*j(l) + 46*t(l)?
23*l
Let j(z) = -15*z**2 + 13*z - 9. Let r(k) = -7*k**2 + 6*k - 4. Calculate -4*j(i) + 9*r(i).
-3*i**2 + 2*i
Let t(g) = -8*g - 5. Let k(q) = 2*q + 1. Calculate 9*k(i) + 2*t(i).
2*i - 1
Let r(s) = 2*s**2 + 7*s. Let q(g) = g. Suppose -4*x + x + 3*v + 15 = 0, x = -v + 7. What is x*q(y) - r(y)?
-2*y**2 - y
Let z(y) = 2*y**2 + 2*y + 1. Let m(p) = -5*p**2 - 6*p - 3. Determine 3*m(b) + 8*z(b).
b**2 - 2*b - 1
Let i =
|
{
"pile_set_name": "DM Mathematics"
}
|
/2*o**2 + 873/2*o - 1269/2 = 0.
3, 47
Let f(c) be the second derivative of c**6/120 + 11*c**5/2 + 16133*c**4/16 - 55*c**3/3 - 6050*c**2 - 389*c - 3. Factor f(q).
(q - 1)*(q + 1)*(q + 220)**2/4
Let r = -27723/4 + 6932. Let b(z) be the first derivative of -r*z**2 + 2*z + 27 - 1/4*z**3. What is y in b(y) = 0?
-4, 2/3
Let n(m) be the third derivative of 1/240*m**6 + 0*m**3 + 275*m**2 + 1/280*m**7 + 0 + 1/12*m**4 + 0*m - 1/20*m**5 - 1/1344*m**8. Let n(x) = 0. What is x?
-2, 0, 1, 2
Suppose 58365907*l**2 - 5199922*l**2 + l**4 + 3*l**4 + 37295937425*l + 25259*l**3 - 9327307625 = 0. What is l?
-2105, 1/4
Let v(i) be the second derivative of 0 + 1/4*i**5 + 50*i + 65/12*i**4 + 175/6*i**3 - 245/2*i**2. Determine t so that v(t) = 0.
-7, 1
Solve -261*i - 1047*i + 2604 + 397*i**2 - 394*i**2 = 0.
2, 434
Let s(d) be the second derivative of -3*d**2 - 1/2*d**3 + 1/4*d**4 - 2*d - 27. Factor s(u).
3*(u - 2)*(u + 1)
Let t = 241 + -237. Factor 1005*f**3 + 810448*f - 12*f**t + 32856*f**2 + 5*f**4 + 11*f**4 + 7496644 - 413*f**3.
4*(f + 37)**4
Let i = -11 - -32. Solve 3*u**3 - i*u + 7*u**2 + 22*u - 4*u**2 + u**4 = 0.
-1, 0
Let n be 1281/7 + (-2 - 1). Suppose -r = -5*r + n. Find g, given that -20*g**5 + 1467 + 5*g**2 - 30*g**3 - 1467 + r*g**4 = 0.
0, 1/4, 1
Factor 13263041 + 6*r**2 - 1100729 - 4*r**2 + 1313*r - 9306*r - 1871*r.
2*(r - 2466)**2
Let u(w) be the second derivative of w**5/70 + 29*w**4/42 + 164*w**3/21 + 220*w**2/7 - 646*w. Find m, given that u(m) = 0.
-22, -5, -2
Let d = -62 - -33. Let x = d + 33. Let -10*c - 17 + 5*c**2 - 1 + 7 - x = 0. What is c?
-1, 3
Let a(u) = -u**2 - 7*u + 3. Let t be a(-7). Let f(w) = -t*w - 6*w + 31 - w**2 - 36. Let x(v) = -6*v**2 - 64*v - 36. Let y(m) = 44*f(m) - 6*x(m). Factor y(z).
-4*(z + 1)*(2*z + 1)
Let j be -14*25/10*1. Let y = j + 35. Determine m so that 2*m + 22*m**2 + y*m - 18*m**2 + 2*m = 0.
-1, 0
What is w in -10*w**4 + 330*w**2 + 55 - 155/2*w**3 - 595/2*w = 0?
-11, 1/4, 1, 2
Let t(s) be the second derivative of 0*s**2 - 2 + 1/40*s**6 - 1/16*s**4 + 1/80*s**5 + 21*s - 1/12*s**3 + 1/168*s**7. Factor t(m).
m*(m - 1)*(m + 1)**2*(m + 2)/4
Let s(u) be the first derivative of -5*u**6/6 - 434*u**5 - 119855*u**4/2 - 917960*u**3/3 + 732075*u**2/2 + 4160250*u - 12113. Let s(z) = 0. What is z?
-215, -3, 2
Let y(d) be the first derivative of d**4/14 + 8*d**3/7 + 36*d**2/7 + 64*d/7 + 263. Factor y(w).
2*(w + 2)**2*(w + 8)/7
Determine z, given that 76/3*z - 8/3*z**2 + 80/3 - 4/3*z**3 = 0.
-5, -1, 4
Factor -42483 - u**2 - 753*u + 39*u + 5*u**2 - 7*u**2 + 0*u**2.
-3*(u + 119)**2
Let d(n) be the second derivative of -3*n**5/80 + 15*n**4/8 + 9*n**3/8 - 405*n**2/4 - 3*n + 1350. Factor d(l).
-3*(l - 30)*(l - 3)*(l + 3)/4
Let g = 146798 - 146796. Factor 1/4*i**3 + 0 + 5/4*i**g + i.
i*(i + 1)*(i + 4)/4
Let v(t) be the first derivative of 5*t**4/4 - 10*t**3 - 225*t**2/2 + 250*t - 9073. Factor v(n).
5*(n - 10)*(n - 1)*(n + 5)
Suppose -20*i = -21*i + 4. Let g(l) = l**2 - 4*l + 3. Let q be g(i). Let -10 + 4*j**3 - 15*j**2 + 27*j + j**q + 5*j**4 - 52*j = 0. Calculate j.
-1, 2
Let r = -8 + 15. Suppose -2*q = -5*a + 17, 2*a + 6*q - r = 7*q. Factor 4/17 + 8/17*g**2 - 2/17*g**a - 10/17*g.
-2*(g - 2)*(g - 1)**2/17
Let g(i) be the second derivative of 4*i**2 + 0 - 1/3*i**3 + 139*i + 1/40*i**5 - 1/6*i**4. Suppose g(k) = 0. Calculate k.
-2, 2, 4
Let n(b) be the second derivative of b**4/36 - 14*b**3/9 - 34*b**2 - 21*b - 3. Determine o, given that n(o) = 0.
-6, 34
Let x(k) = -10*k**2 + 13. Let p(r) = -r**2 + 1. Suppose 3*f - 7*y + 2*y - 3 = 0, 0 = -3*f + 4*y. Let g(d) = f*x(d) + 36*p(d). What is b in g(b) = 0?
-2, 2
Suppose -3*j + 68*m = 67*m - 20, 3*j = 2*m + 34. Factor -1/2*o**3 + 11/6*o + 1/6*o**j + 7/6.
-(o + 1)**2*(3*o - 7)/6
Let s = -2/392815 - 287932807/115487610. Let t = 1/147 - s. Solve -7/6*u**4 - 1/6*u - 19/6*u**3 + 1/3 - t*u**2 = 0 for u.
-1, 2/7
Let j(h) be the first derivative of h**4/12 + 200*h**3/9 + 66*h**2 + 310. Determine m, given that j(m) = 0.
-198, -2, 0
Suppose -20*u + 35*u = 60. Let b(p) be the first derivative of -u*p**3 + 6*p**2 + 0*p + 3/4*p**4 + 16. Factor b(i).
3*i*(i - 2)**2
Let q(r) = -7*r**2 - 100*r + 529. Let y(d) = -66*d**2 - 899*d + 4758. Let g(i) = 19*q(i) - 2*y(i). Find l, given that g(l) = 0.
-107, 5
Let y = -10183/21 - -3399/7. Factor 16/3 + y*d**3 - 2*d**2 - 4*d.
2*(d - 4)*(d - 1)*(d + 2)/3
Solve 624/5*j - 3/5*j**3 - 132 + 39/5*j**2 = 0 for j.
-10, 1, 22
Let r = 1507/3 - 2249/6. Let b = -126 + r. Suppose -3*j**2 + 0 + b*j + 3/2*j**3 = 0. Calculate j.
0, 1
Let x(m) be the second derivative of 0 + 1/80*m**5 + 53/16*m**4 + 47*m + 6241/8*m**2 + 2133/8*m**3. Factor x(d).
(d + 1)*(d + 79)**2/4
Find g such that g - 41*g**2 + 25*g**4 - 31*g**3 - 6*g**3 - 3*g**5 + 16 + 0*g + 5*g + 34*g**3 = 0.
-1, -2/3, 1, 8
Let h be 8/6*(-33)/22*-2. Factor 3*a**2 + h*a**3 + 9*a - 8 - a**2 - 9*a + 6*a**2 - 4*a.
4*(a - 1)*(a + 1)*(a + 2)
Let v = -2204 - -2204. Let s(i) be the first derivative of 0*i**2 + 8 + 4/3*i**3 + v*i + 1/2*i**4. Determine f so that s(f) = 0.
-2, 0
Let o(x) be the third derivative of -27*x**8/392 - 30*x**7/49 - 517*x**6/420 + 10*x**5/7 - 3*x**4/7 + 164*x**2 - 2. Find g such that o(g) = 0.
-3, 0, 2/9
Determine u so that 1060/9 - 526/9*u - 2/9*u**2 = 0.
-265, 2
Let i(t) = 5*t**3 - 14*t**2 - 20*t + 40. Let h(o) = -55*o**3 + 155*o**2 + 220*o - 440. Let w be (70/(-21))/((-6)/81). Let s(l) = w*i(l) + 4*h(l). Factor s(z).
5*(z - 2)**2*(z + 2)
Factor 1/4*s**4 - 1/4*s**3 - 65/4*s**2 + 0 + 225/4*s.
s*(s - 5)**2*(s + 9)/4
Let k(t) be the second derivative of 2*t**7/21 - 106*t**6/15 + 199*t**5/5 - 49*t**4 - 245*t - 1. Determine l so that k(l) = 0.
0, 1, 3, 49
Let j = -5423/378 + 821/54. Factor 1/7*c**2 - 5/7*c + j.
(c - 3)*(c - 2)/7
Factor 3*v**2 - 26*v**3 - 99 - 111 + 222 - 7*v**2 + 26*v - 8*v**2.
-2*(v - 1)*(v + 1)*(13*v + 6)
Let d(n) be the first derivative of -13/3*n**3 - 4*n + 3/2*n**4 - 1/5*n**5 + 40 + 6*n**2. Factor d(a).
-(a - 2)**2*(a - 1)**2
Let h(m) be the first derivative of 2/5*m**5 - 2/3*m**3 - 6/5*m**4 - 1/10*m**2 + 0*m + 5/6*m**6 - 56. Solve h(p) = 0 for p.
-1, -1/5, 0, 1
Let k(j) be the third derivative of j**7/504 - j**6/144 - j**5/4 - 79*j**4/24 + 38*j**2 + j. Let w(l) be the second derivative of k(l). Factor w(d).
5*(d - 3)*(d + 2)
Let o(x) be the third derivative of x**6/60 - 4*x**5 + 279*x**4 + 15376*x**3/3 + x**2 - 104. Suppose o(v) = 0. Calculate v.
-4, 62
Let j = 5139979/15 - 342661. Find g such that -2/3*g**3 + 0 + j*g**2 - 8/5*g = 0.
0, 2/5, 6
Let f(u) be the first derivative of u**5/75 + u**4/6 + 8*u**3/15 + 3*u**2/2 - u - 75. Let j(z) be the second derivative of f(z). Solve j(w) = 0.
-4, -1
Let q(t) = -t**3 + 33*t**2 - 374*t + 782. Let z(r) = -4*r**3 + 95*r**2 - 1121*r + 2345. Let h(d) = 7*q(d) - 2*z(d). What is w in h(w) = 0?
-49, 4
Let j(b) be the first derivative of b**7/168 + b**6/12 + b**5/8 - 25*b**4/12 - 10*b**3/3 + 97. Let x(u) be the third derivative of j(u). Factor x(h).
5*(h - 1)*(h + 2)*(h + 5)
Let s(k) be the third derivative of -k**7/420 + 73*k**6/120 - 1871*k**5/40 + 5183*k**4/12 - 5041*k**3/3 + 2*k**2 - 43*k - 16. Factor s(q).
-(q - 71)**2*(q - 2)**2/2
Let 6727*m**2 - 189*m**3 + 19 - 3*m**4 + 114*m + 75*m**3 - 6940*m**2 + 197 = 0. Calculate m.
-36, -2, -1, 1
Suppose 0 = 13*y - 16*y + 15. Suppose 3*a - 915 - 310 = -y*d, 4*a - 1638 = -2*d. Factor 3*m**3 + 413*m**4 - a*m**4 + 0*m**3.
3*m**3*(m + 1)
Let z(q) be the first derivative of q**7/84 + 5*q**6/24 - 3*q**5/8 - 5*q**4/3 - 2*q**3/3 + 22*q**2 + 259. Let c(h) be the third derivative of z(h). Factor c(l).
5*(l - 1)*(l + 8)*(2*l + 1)
Let c(v) = -v**2 + 2264. Let w be c(0). Let d = w + -24888/11. Factor d*u + 0 - 2/11*u**2.
-2*u*(u - 8)/11
Let x be ((-27)/(-4))/(5/20). Suppose p = 10 + x. Suppose p - 37 - 5*w**2 = 0. What is w?
0
Let v(w) = w**4 - w**3 + w - 1. Let j(n) = -5*n**4 + 217*n**3 + 14910*n**2 + 357694*n + 343006. Let k(g) = -j(g) - 6*v(g). Find l, given that k(l) = 0.
-70, -1
Let q(s) = -2*s**2 - 35*s + 24. Let w be 3/(-3)*(-2 - (-18 - 2)). Let n be q(w). Factor -6 + 12 + 3*o**2 - 1 - n*o - 2.
3*(o - 1)**2
Let s(v) be the first derivative of v**4/2 - 8*v**3/3 - 128*v**2 + 1536*v + 244. Find o, given that s(o) = 0.
-12, 8
Suppose -140*m = 155*m - 387*m + 223 + 53. Factor -3/2*w**m - 3/2*w + 3*w**2 + 0.
-3*w*(w - 1)**2/2
Let 13*
|
{
"pile_set_name": "DM Mathematics"
}
|
4*x - 50. Determine q(7).
-78
Let t(a) = -18*a - 187. What is t(-14)?
65
Let g(b) = -b**2 - 2472*b - 9852. Determine g(-4).
20
Let u(o) = 2*o**3 + 368*o**2 - 2285*o + 27. Determine u(6).
-3
Let y(m) = -55*m**2 + 313*m + 110. Calculate y(6).
8
Let p(d) = 3*d**3 + 37*d**2 - 30*d - 30. Calculate p(-13).
22
Let t(m) = 49*m - 2243. Give t(46).
11
Let t(r) = -r**3 - 24*r**2 + r + 32. Calculate t(-24).
8
Let n(f) = f**2 - 101*f + 1581. Calculate n(82).
23
Let o(c) = -c**2 + 46*c - 352. Give o(38).
-48
Let m(p) = 17*p**2 + 64*p + 9. Give m(-4).
25
Let m(w) = -36*w + 730. Give m(20).
10
Let a(g) = -g**2 - 42*g - 88. Give a(-39).
29
Let x(c) = -137*c - 580. Calculate x(-4).
-32
Let o(k) = -7*k**2 + 94*k - 40. Determine o(13).
-1
Let i(x) = 2*x**2 + 8*x - 54. What is i(-7)?
-12
Let w(c) = 2*c**3 - 181*c**2 - 272*c - 386. Give w(92).
-18
Let v(u) = 16*u**3 + 114*u**2 + 50*u + 233. Determine v(-7).
-19
Let n(w) = -5*w**3 - 2*w**2 + 5*w - 6. Calculate n(-4).
262
Let v(k) = 2*k**3 + 393*k**2 + 580*k - 1019. Calculate v(-195).
-44
Let x(n) = n**3 + 22*n**2 - 27*n - 54. What is x(-23)?
38
Let p(i) = -i**3 + 29*i**2 - 34*i - 25. Give p(28).
-193
Let x(f) = 38*f + 310. Give x(-7).
44
Let h(j) = -j**2 + 128*j + 933. Calculate h(-7).
-12
Let l(v) = -v**3 + 11*v**2 - 21*v + 6. Give l(8).
30
Let q(z) = z**2 - 45*z + 231. Determine q(42).
105
Let p(k) = -18*k + 1013. Calculate p(55).
23
Let u(b) = 4*b**3 - 40*b**2 + 18*b - 174. Determine u(10).
6
Let d(v) = -v**3 - 16*v**2 - 22*v + 64. What is d(-14)?
-20
Let k(d) = 23*d - 656. Calculate k(28).
-12
Let a(s) = s**2 - 34*s - 95. What is a(37)?
16
Let k(w) = 7*w**2 + 62*w - 9. Determine k(-8).
-57
Let n(z) = -22*z + 109. Determine n(6).
-23
Let k(a) = -a**3 - 12*a**2 + 59*a - 120. Give k(-16).
-40
Let d(v) = v**3 - 2*v**2 - 37*v - 141. What is d(-4)?
-89
Let m(n) = -2*n**2 - 10*n + 151. Calculate m(-12).
-17
Let c(j) = j**3 + 128*j**2 - 270*j - 1298. Calculate c(-130).
2
Let n(j) = 141*j**2 + 1837*j + 32. Give n(-13).
-20
Let o(j) = 6609*j - 13211. Give o(2).
7
Let z(c) = 7*c**2 - 14*c + 22. What is z(4)?
78
Let m(n) = 2*n**2 + 86*n + 336. What is m(-4)?
24
Let f(u) = 10*u - 3. Calculate f(5).
47
Let p(x) = x**3 - 17*x**2 + 84*x - 564. Calculate p(14).
24
Let m(v) = -74*v + 12. Calculate m(3).
-210
Let h(r) = -33*r + 163. Determine h(4).
31
Let b(y) = y**3 - 3*y**2 + 7. Determine b(2).
3
Let z(i) = -3*i**3 - 577*i**2 - 760*i + 761. Calculate z(-191).
-3
Let t(c) = -102*c - 116. Calculate t(-7).
598
Let p(i) = 238*i**2 + 2154*i + 113. Give p(-9).
5
Let h(j) = -147*j - 7816. Calculate h(-53).
-25
Let u(w) = 126*w - 253. Calculate u(2).
-1
Let q(p) = -17*p**3 + 2*p**2 - 11*p - 19. Determine q(-2).
147
Let y(q) = 78*q**2 - 112*q - 336. Determine y(-3).
702
Let q(r) = -18*r**2 + 22*r. Determine q(1).
4
Let n(s) = s**3 - 42*s**2 + 34*s - 1527. Give n(42).
-99
Let q(s) = s**3 - 2*s**2 - 12*s + 16. Give q(7).
177
Let h(p) = p**3 - 274*p**2 + 137*p - 37535. Calculate h(274).
3
Let i(m) = -11*m**2 + 330*m - 40. Give i(30).
-40
Let w(r) = -19*r + 1981. What is w(92)?
233
Let a(w) = -31*w + 262. What is a(11)?
-79
Let y(c) = -2*c**2 - 259*c - 975. Give y(-4).
29
Let w(m) = 5*m**2 + 10. Give w(3).
55
Let u(h) = 2*h**2 - 333*h - 1717. Give u(-5).
-2
Let w(v) = 162*v - 6. Give w(2).
318
Let d(v) = -v**2 + 37*v + 368. What is d(45)?
8
Let b(j) = j**2 - 130*j + 2972. Give b(100).
-28
Let p(d) = -20*d + 369. Determine p(12).
129
Let b(w) = w**3 - 12*w**2 + 18*w + 13. What is b(10)?
-7
Let l(o) = -o**2 + 77*o - 1293. What is l(52)?
7
Let d(r) = -r**3 - 3*r**2 + 649*r - 4. Give d(24).
20
Let a(j) = j**3 + 11*j**2 + 9*j - 48. Calculate a(-5).
57
Let q(g) = 30*g + 201. What is q(-9)?
-69
Let v(c) = -c**2 + c + 41. Determine v(0).
41
Let x(q) = -136*q + 428. Determine x(3).
20
Let n(f) = -6*f - 22. Determine n(-6).
14
Let p(q) = q**3 - 10*q**2 - 14*q + 48. Determine p(11).
15
Let l(s) = -4*s**3 + 21*s**2 + 3*s - 50. Calculate l(5).
-10
Let p(u) = 120*u - 1579. Calculate p(12).
-139
Let i(b) = -262*b - 137. Give i(0).
-137
Let c(y) = -1420*y - 26982. Give c(-19).
-2
Let p(c) = c**3 + 20*c**2 + 88*c + 1. Give p(-13).
40
Let c(x) = 10*x - 116. Calculate c(9).
-26
Let b(m) = -847*m + 18746. Give b(22).
112
Let p(j) = -31*j + 1662. Give p(54).
-12
Let j(p) = p**2 - 28*p + 30. Calculate j(27).
3
Let b(m) = -37*m + 419. Give b(11).
12
Let u(b) = -b**3 - 31*b**2 + 33*b + 24. What is u(-32)?
-8
Let s(j) = -11*j**2 - 492*j - 1269. Determine s(-42).
-9
Let l(p) = -3*p**3 - 1224*p**2 + 2*p - 6. What is l(0)?
-6
Let k(w) = -350*w + 4910. Determine k(14).
10
Let d(v) = 2*v**3 + 29*v**2 + 108*v + 13. Determine d(-7).
-8
Let y(a) = -240*a + 1642. Calculate y(5).
442
Let g(f) = f**3 - 126*f**2 - 379*f - 1077. Give g(129).
-45
Let o(b) = -19570*b + 97851. Give o(5).
1
Let p(z) = -z**2 - 146*z - 605. Give p(-142).
-37
Let s(w) = -w**3 + 12*w**2 + 18*w - 1. Determine s(13).
64
Let h(r) = 477*r - 5241. Determine h(11).
6
Let d(o) = -2*o**3 + 2*o**2 + 34*o - 37. Determine d(1).
-3
Let v(b) = -b**3 - 6*b**2 + 22*b - 24. Calculate v(-9).
21
Let d(w) = 80*w - 6. Give d(-2).
-166
Let g(r) = -2*r**2 - 71*r + 261. Give g(-38).
71
Let z(l) = -3450*l - 55203. What is z(-16)?
-3
Let l(d) = -6*d**3 + 175*d**2 - 61*d + 932. Calculate l(29).
4
Let o(u) = -2*u**2 - 26*u - 66. Give o(-8).
14
Let z(c) = -c**2 - 26*c - 90. What is z(-22)?
-2
Let v(k) = -2*k**3 - 23*k**2 - 34*k - 564. Determine v(-12).
-12
Let h(a) = -a**3 + 10*a**2 - 23*a + 18. Give h(8).
-38
Let s(k) = -k**3 + 13*k**2 - 717*k + 10229. Give s(14).
-5
Let t(i) = 9625*i + 57739. Calculate t(-6).
-11
Let c(a) = 33*a**2 - 4*a + 2. Give c(1).
31
Let o(l) = 437*l - 3346. What is o(7)?
-287
Let v(a) = 38*a**2 - 72*a - 220. Calculate v(-3).
338
Let l(z) = -46*z - 1515. Determine l(-33).
3
Let b(t) = 23*t + 351. What is b(-10)?
121
Let r(q) = -19*q**2 + 744*q - 124. Determine r(39).
-7
Let o(i) = -689*i + 5. Determine o(0).
5
Let u(m) = -16*m**2 - 48*m - 2. What is u(-3)?
-2
Let k(i) = 227*i + 1584. Determine k(-7).
-5
Let c(p) = -p**2 - 45*p - 553. Give c(-28).
-77
Let v(u) = -u**3 - 57*u**2 + 1169*u + 91. Give v(-73).
18
Let h(t) = -7*t + 170. Calculate h(18).
44
Let g(q) = -4*q**2 - 58*q - 164. Give g(-9).
34
Let x(d) = 2*d**3 - 3*d - 21. Calculate x(4).
95
Let i(g) = -6*g**3 + 87*g**2 + 40*g + 70. Calculate i(15).
-5
Let y(z) = -108*z + 490. Calculate y(5).
-50
Let q(k) = -79*k - 984. Calculate q(-8).
-352
Let y(a) = a**3 - 14*a**2 + 18*a - 19. Give y(12).
-91
Let o(p) = 2*p**3 - 17*p**2 + 71*p - 347. What is o(7)?
3
Let d(j) = -23*j + 180. Give d(10).
-50
Let j(b) = 201*b + 5661. Calculate j(-28).
33
Let n(o) = o**2 - 11*o + 59. Give n(7).
31
Let a(t) = 1169*t - 9. What is a(0)?
-9
Let j(v) = v**3 + 47*v**2 - 27*v + 6142. What is j(-50)?
-8
Let w(u) = -3*u - 5. Calculate w(-7).
16
Let s(q) = -41*q - 4597. Give s(-112).
-5
Let k(s) = s**3 + 17*s**2 - 24*s - 125. What is k(-18)?
-17
Let z(q) = -q**3 - 10*q**2 + q + 31. Calculate z(-8).
-105
Let l(b) = b**3 + 8*b**2 + 84*b + 292. Calculate l(-4).
20
Let p(g) = g**3 - 42*g**2 - 45*g + 91. Give p(43).
5
Let l(v) = 11*v**3 - 3*v**2 + 9*v - 4. Give l(1).
13
Let f(j) = -j**2 - 8*j + 130. Determine f(0).
130
Let s(i) = -i**3 + 7*i**2 + 12*i + 105. Determine s(8).
137
Let t(o) = 10*o**3 + 631*o**2 + 61*o - 115. Calculate t(-63).
11
Let o(v) = -v**3 - 13*v**2 - 30*v - 50. Give o(-11).
38
Let h(r) = -r**3 + 58*r + 17. Determine h(8).
-31
Let i(d) = -417*d - 30448. Give i(-73).
-7
Let s(x) = -x**3 - 12*x**2 + 253*x - 11. What is s(-23)?
-11
Let q(w) = -7*w**2 - 3*w + 2. Determine q(4).
-122
Let w(o) = 4*o**2 + 28*o - 244. Give w(5).
-4
Let w(o) = o**2 - 18*o - 1074. Calculate w(-24).
-66
Let l(y) = y**3 - 19*y**2 - 24*y + 563. What is l(19)?
107
Let n(i) = i**2 + 14*i + 75. Determine n(-4).
35
Let n(m) = 15*m**3 + 2*m**2 + 18*m - 35. Calculate n(2).
129
Let i(u) = -254*u - 1284. Give i(-5).
-14
Let m(d) = -7*d**2 - 40*d - 6. Calculate m(-7).
-69
Let i(c) = -2*c**2 - 55*c + 19. What is i(-27)?
46
Let k(h) = 7*h**2 - 249*h - 1231. Calculate k(40).
9
Let l(j) = -4*j**2 + 77*j - 76. Determine l(19).
-57
Let h(s) = s**3 + 5*s**2 - s - 178. Give h(0).
-178
Let l(q) = -211*q - 451. Calculate l(-2).
-29
Let v(d) = 2*d**2 + 40*d - 66. What is v(-23)?
72
Let s(a) = a**2 - 52*a - 584.
|
{
"pile_set_name": "DM Mathematics"
}
|
the third derivative of 13735317*b**4 - 24*b**2 + 67*b - 42 wrt b.
329647608*b
Find the second derivative of 10107546*n**2 + 22*n + 56009 wrt n.
20215092
What is the first derivative of -26195141*l**2 + 1611248 wrt l?
-52390282*l
What is the derivative of 1459*b**4*z - b**4 + 40515*b*z - 16881612*z - 2 wrt b?
5836*b**3*z - 4*b**3 + 40515*z
What is the second derivative of -3*t**5 - 1376432*t**2 - 7820743*t?
-60*t**3 - 2752864
Find the second derivative of 57135*l**2*t**2 + l**2*t - 4*l**2 + 332*l*t**4 - 21*l*t - l + 3328*t wrt t.
114270*l**2 + 3984*l*t**2
Find the second derivative of -4*p**5 - 61170*p**4 + 214*p**2 + 165206664*p.
-80*p**3 - 734040*p**2 + 428
Differentiate 1322302382*m + 1197771481 wrt m.
1322302382
What is the second derivative of 64560*x**4 + x**2 - 493419*x + 4?
774720*x**2 + 2
Differentiate 20094850*a + 15891619 wrt a.
20094850
Find the first derivative of 1880*i**2 + 19488*i - 70250321 wrt i.
3760*i + 19488
What is the second derivative of 18714522*s**3 + 5*s + 651116 wrt s?
112287132*s
Find the third derivative of -14*l**4 - 1318026*l**3 + l**2 - 29173*l - 1 wrt l.
-336*l - 7908156
Find the second derivative of k**3 - 2*k**2*m**3 - 114413*k**2*m**2 + 2*k*m**3 - 477*k*m - 2006*m**3 wrt k.
6*k - 4*m**3 - 228826*m**2
Find the third derivative of -622*c**6 + 302560*c**3 + 40927686*c**2.
-74640*c**3 + 1815360
What is the second derivative of 24640772*v**3 - 83421656*v wrt v?
147844632*v
Find the third derivative of 4*k**3*v**2 + 20786388*k**3*v*z + 1690*k**2*v**2 + 40773*k**2*v*z wrt k.
24*v**2 + 124718328*v*z
What is the third derivative of -24867394*b**6 - 6*b**3 - 113415791*b**2?
-2984087280*b**3 - 36
Find the first derivative of 5120*b*k**2*o*t - 31222*b*k**2*t - 2*b*o + b - 9373*k**2*o + k**2 - 20*k wrt t.
5120*b*k**2*o - 31222*b*k**2
What is the second derivative of -7*f**5 - 709746*f**2 + 64617936*f wrt f?
-140*f**3 - 1419492
Find the second derivative of 85*a**4*h**2 - 9037*a**4*h - a*h**2 - 1320*a + 278*h wrt a.
1020*a**2*h**2 - 108444*a**2*h
What is the third derivative of 26*a**3*g*r - 2*a**3*g + 180825*a**3*r + 6179*a**2*g - a**2*r + 7*a*r - 4*g*r - 2*r wrt a?
156*g*r - 12*g + 1084950*r
Find the first derivative of 12262488*h - 5532226.
12262488
Find the third derivative of 4805981*y**3 - 2*y**2 + 9743974 wrt y.
28835886
What is the second derivative of -236*l**5 + 16661*l**4 + 120593*l + 16 wrt l?
-4720*l**3 + 199932*l**2
Find the second derivative of -11500170*x**3 - 2*x - 1186492.
-69001020*x
Differentiate 376046795*b - 165118026 wrt b.
376046795
Find the second derivative of -39509081*w**3 - 43858527*w wrt w.
-237054486*w
Find the second derivative of 4*j**2*l**3 + 21511379*j**2*l - 33*j*l**3 - j*l - 9886*l**3 + 2*l**2 - 2*l - 16 wrt j.
8*l**3 + 43022758*l
Differentiate -152*g**2 - 210478*g + 298629015.
-304*g - 210478
What is the third derivative of 3*w**2*x**3 + w**2 - 111*w*x**2 + 86099*x**5 - 8*x**2 + 40*x wrt x?
18*w**2 + 5165940*x**2
Find the first derivative of 8*n**3 - 6233821*n**2 - 116895714.
24*n**2 - 12467642*n
What is the third derivative of -2*m**3*n*o**2 - 206*m**3*o**3 + m**2*n*o + 44*m**2*n - 773*m*n*o**3 + 14*n*o**3 + 46*n*o**2 - 679*n*o wrt o?
-1236*m**3 - 4638*m*n + 84*n
What is the derivative of 71*n**2 + 1428877*n*y - 110679432*y wrt n?
142*n + 1428877*y
What is the second derivative of -91982181*t**2 - 7192*t + 1088 wrt t?
-183964362
Differentiate -2391825*a**2 + 3914897 with respect to a.
-4783650*a
What is the third derivative of -9*f**3*g**3 + 3*f**3*g**2 - f**3*g + 2*f**3 + 53*f**2*g**2 + 122302*f*g**3 + 1139*f*g wrt g?
-54*f**3 + 733812*f
What is the second derivative of -5*j**2*k + 850227*j**2 + 5*j*k - 2875671*j wrt j?
-10*k + 1700454
Find the third derivative of -2*a**6 + 18736999*a**5 + 78448137*a**2.
-240*a**3 + 1124219940*a**2
Find the third derivative of 10*u**4 - 7520261*u**3 + 913754*u**2 + 63.
240*u - 45121566
What is the second derivative of -2*f**3*n**4 - f**3*n - f**3 + 2*f**2*n - 107*f**2 - 220*f*n - 2239693*n**4 - n wrt n?
-24*f**3*n**2 - 26876316*n**2
What is the third derivative of 1730*s**2*x**4 - 3*s**2*x**2 - 3*s**2*x + 134*s**2 - 1085*s*x**4 + x**2 + 8*x - 76 wrt x?
41520*s**2*x - 26040*s*x
What is the first derivative of 663440894*w**4 + 526171071 wrt w?
2653763576*w**3
Find the second derivative of -153939*f**3 - 361*f**2 + 930634*f + 37 wrt f.
-923634*f - 722
Find the third derivative of 40742563*p**4 - 3*p**3 + 749773211*p**2.
977821512*p - 18
What is the second derivative of -4197414*p**2 + 52820*p - 4 wrt p?
-8394828
What is the derivative of -25499087*x**3 + 182526524 wrt x?
-76497261*x**2
What is the second derivative of 80924074*a**3 - 171240081*a?
485544444*a
Find the third derivative of 18*f**5 + 21349169*f**3 - 16845515*f**2.
1080*f**2 + 128095014
What is the second derivative of -840405*g**2 - 6*g + 239462?
-1680810
What is the first derivative of 4*z**3 - 1169*z**2 - 396*z + 38791958?
12*z**2 - 2338*z - 396
What is the second derivative of 14*j*l**2*r + 13*j*l*r**2 + 70*j*r**2 - j + 840*l**2*r**2 + 281*l**2*r + l**2 + 7*l*r**2 + 178*l + 2*r**2 wrt l?
28*j*r + 1680*r**2 + 562*r + 2
What is the third derivative of 1040287*d**3*g**2 + 35*d**3*g - 2*d**3 - 10*d**2*g**2 - 3*d**2 + 5*d*g**2 + 193*g**2 + 252*g wrt d?
6241722*g**2 + 210*g - 12
What is the derivative of 1505*i**2 - 19229*i - 530845452?
3010*i - 19229
Find the second derivative of -4923066*m**2 + 7*m - 146243 wrt m.
-9846132
What is the second derivative of -1850*y**4 + 130*y**3 + 4*y**2 - 566*y - 14271 wrt y?
-22200*y**2 + 780*y + 8
What is the third derivative of 8*o**5 - 12148302*o**4 - 3*o**2 + o + 7543497 wrt o?
480*o**2 - 291559248*o
What is the derivative of -79562865*x**4 - 305045289?
-318251460*x**3
What is the second derivative of 9*h**4 + 13730*h**2*o + 63002*h*o - 124*h wrt h?
108*h**2 + 27460*o
Find the second derivative of -2*v**5 - 96759*v**4 - 9*v**2 - 45585559*v wrt v.
-40*v**3 - 1161108*v**2 - 18
What is the second derivative of -220981429*i**2*x**2 + 188464325*i*x**2 wrt i?
-441962858*x**2
What is the second derivative of -34488903*m**2 - 3431057*m?
-68977806
What is the second derivative of 8406285*h**3 - 72856956*h wrt h?
50437710*h
Find the first derivative of -107*b**2 - 139638*b*m + 4441781*m - 12 wrt b.
-214*b - 139638*m
Find the second derivative of -6086*b**3 - 452*b**2 + 81011*b - 414 wrt b.
-36516*b - 904
Find the third derivative of 29439*h**4*k + 2*h**4 + 84*h**3*k - 2*h**3 - 911*h**2*k + 17*h**2 + h*k - 69*k - 1 wrt h.
706536*h*k + 48*h + 504*k - 12
What is the second derivative of -13291657*f**2*n**5 - 3*f**2*n - 36108783*f**2 wrt n?
-265833140*f**2*n**3
Differentiate -14275860*k**2*q - 7*k**2 - 3021184*q + 62 wrt k.
-28551720*k*q - 14*k
Differentiate -473763437*j**2 + 108303071.
-947526874*j
Find the third derivative of -278301794*b*p**3 - 2878*b*p**2 + 14*b + 117*p**2 + p + 3 wrt p.
-1669810764*b
Differentiate 7440255*d*o*z + 29751*d*o - 34*o*z + 1410*o with respect to z.
7440255*d*o - 34*o
What is the first derivative of -496456847*z**3 - 593731331 wrt z?
-1489370541*z**2
Differentiate 14505693*f + 182928723 wrt f.
14505693
Find the third derivative of 12393218*p**4 - 655671*p**2 - 2*p + 3.
297437232*p
Differentiate -227971*d**3 + 121*d + 6826614 wrt d.
-683913*d**2 + 121
What is the third derivative of -9313199*r**3 - 325*r**2 + r - 895?
-55879194
What is the third derivative of 2263*i*k**3 - 2*i*k**2 + 25*i*k + 39*i + k**4 + 1903*k**3 - 2*k**2 - 5*k wrt k?
13578*i + 24*k + 11418
What is the derivative of -1396089*c**2*k - 10414003*c**2 wrt k?
-1396089*c**2
What is the third derivative of 59102668*p**3 - 173124495*p**2 wrt p?
354616008
Differentiate 2042930*k**4 + 16419060 wrt k.
8171720*k**3
What is the third derivative of 133197*f**5 + 2*f**2 + 2440*f + 169 wrt f?
7991820*f**2
Find the third derivative of -9301*p**6 - 2639*p**4 - 4*p**2 + 4473387 wrt p.
-1116120*p**3 - 63336*p
What is the second derivative of -43572912*c*m**2 + 146010*c*m - 14*m wrt m?
-87145824*c
What is the third derivative of 2*z**6 + 5824187*z**5 + 2*z**3 - 35725555*z**2 wrt z?
240*z**3 + 349451220*z**2 + 12
What is the derivative of 789953391*z - 553045382?
789953391
Find the third derivative of -35981772*b**5*k + 15591*b**2 + 373*b*k wrt b.
-2158906320*b**2*k
Find the third
|
{
"pile_set_name": "DM Mathematics"
}
|
2 assuming l is positive.
l**(-1568/15)
Simplify (u/(u*u**(-1/2)*u)*u)**(-10/11)*u**13*u**(-5)/u assuming u is positive.
u**(72/11)
Simplify (u/(u/(u/u**(2/7))))**29*u/(u*u**(-4)*u)*(u*u**(9/4)*u)/u assuming u is positive.
u**(755/28)
Simplify (o**(1/19)/(o*o**(-4/5)))/(o**0/((o/o**17)/o)) assuming o is positive.
o**(-1629/95)
Simplify n**(-8)*n**(-11/4)*n**(-10)*n*(n*(n/((n/(n*n*n*n*n*n**(-11)*n*n))/n))/n)/n assuming n is positive.
n**(-95/4)
Simplify (d*d**(4/9))/d**(-2/7)*(d**(-1/4))**(-22) assuming d is positive.
d**(911/126)
Simplify ((y**(-1)*y)/y**(-2/7))/(y**(2/3))**35 assuming y is positive.
y**(-484/21)
Simplify (((y**(2/5))**(-3/16))**(-4/13))**(26/7) assuming y is positive.
y**(3/35)
Simplify ((j*j**(-5)/j)/j**(-5)*j*((j*j/j**(-2))/j)/j*j/(j/((j/(j/(((j*j*j/(j*j/j**(-5/2)*j)*j)/j)/j))*j)/j))*j)**19 assuming j is positive.
j**(19/2)
Simplify (f/f**0)**32/(f*(f**(-2)*f)/f)**(-2/5) assuming f is positive.
f**(158/5)
Simplify (k**(-3/2))**(-17)/(k*k/(k**29*k)*k**(7/4)) assuming k is positive.
k**(207/4)
Simplify q**(-17)*q**1*q*q*q**(-26)*q*q**(-34)*q*q assuming q is positive.
q**(-71)
Simplify (r*r*r/(r*r/r**0*r*r)*r*r*r/((r*r/(((r/(r/(r*r*r*r**(-5/6)/r*r*r)))/r)/r))/r))/(r**(-4)/r*r**(-9)*r) assuming r is positive.
r**(91/6)
Simplify ((a*((a/(a**(1/2)/a*a))/a)/a)/a)**(2/7)/(a/a**(1/4))**(10/7) assuming a is positive.
a**(-3/2)
Simplify (((l*l**(5/3))/l*(l/(l/(l/(l*l/(l/((l/l**1)/l))))))/l)**39)**(-30) assuming l is positive.
l**(-1950)
Simplify (((p*(p**(-10)*p)/p*p)/p**10)**43)**(-2/3) assuming p is positive.
p**516
Simplify (m**(-20)/m)/m**4*((m*((m*m**(-5/4))/m*m*m)/m)/m*m)/m**(-13) assuming m is positive.
m**(-45/4)
Simplify ((v**4*v**1)/(v**(1/4))**(-25))**(-12) assuming v is positive.
v**(-135)
Simplify (f**1*f/(f*f*f/(f**(-8)/f)*f))/((f/(f*f**2))/f**9) assuming f is positive.
1
Simplify (b**(-2/11)*b)**(-2/13)*b*b*b/((b**(2/61)/b)/b)*b**(-2/59) assuming b is positive.
b**(2474183/514657)
Simplify ((s*(s/(s**13/s))/s*s*s)/s**(13/2))/((s**17*s)/(s**(-5/7)*s)) assuming s is positive.
s**(-465/14)
Simplify (o**8/((o/(o/(o/o**(-15))))/o))/(o**(-1/2))**(-15) assuming o is positive.
o**(-29/2)
Simplify (c**1*c**(-6/11)/c*c*c)/((c**0*c)/c**(2/25)) assuming c is positive.
c**(147/275)
Simplify q**(-12)*q**(-6)*q**(-1/18)*q**(-1/22) assuming q is positive.
q**(-1792/99)
Simplify ((l*l**10)/l)/l**(18/5)*(l/l**(-13))**(2/175) assuming l is positive.
l**(164/25)
Simplify ((s**7/s*s*s)/(s/(s**(1/2)*s)*s))/(s**(-4/9)*(s*s*s**(4/3)*s)/s) assuming s is positive.
s**(83/18)
Simplify ((g/g**(-21)*g*g*g/(g*g**(-11)*g*g*g*g))**(-6))**(5/8) assuming g is positive.
g**(-465/4)
Simplify ((u*u*u/(u/(u**(-2)/u))*u*u*u)**11*(u**(-4)/u)**(2/21))**15 assuming u is positive.
u**(2260/7)
Simplify (p/(p**31/p)*p**(-4/11))**(-45) assuming p is positive.
p**(14535/11)
Simplify g**(-3)/(g**(-6)*g)*(g**(1/2))**27 assuming g is positive.
g**(31/2)
Simplify j**(7/5)/(j*j**(6/5))*j**9/(j*j**(-3/16)) assuming j is positive.
j**(591/80)
Simplify ((((k*k/(k**(-4)*k))/k)/(k/(k/(k*k**9*k*k))))**(-5/6))**(2/31) assuming k is positive.
k**(40/93)
Simplify ((h/(h/((((h*h**(7/3)/h)/h)/h)/h*h))*h)/(h**9/h)*h**(2/15)*h**(-1/20)/h)**(2/33) assuming h is positive.
h**(-91/198)
Simplify (u*u**(-2/5))**(-2/33)*u**(6/5)*u/((u*u**(-11)*u*u)/u)*u assuming u is positive.
u**(669/55)
Simplify (z**4*(z/(z*z**(2/23)))/z)/(z**(-1/17)/(z*(z*z**(-3/8))/z)) assuming z is positive.
z**(11251/3128)
Simplify (((n*(n*(n*n/n**(4/3))/n*n)/n*n)/n)/(n*n/(n**(-19)/n)))/(n**(-3)*n*(n*n**(19/2))/n) assuming n is positive.
n**(-167/6)
Simplify (((m*m/m**(-2/21))/m)/m**(-27))**(2/13) assuming m is positive.
m**(1180/273)
Simplify n*n*n/n**(7/5)*n**4*n*n**(-18/11)/n**(-21) assuming n is positive.
n**(1428/55)
Simplify (q/((q/q**14)/q)*q**(2/37))/(q/q**(-8))**49 assuming q is positive.
q**(-15760/37)
Simplify (x**(-3/4)/x*x*x**19)/(x**(1/7)*x**(14/5)) assuming x is positive.
x**(2143/140)
Simplify (h*h**7/h*(h/(h*h**(2/29)*h))/h)/((h**(-1)/h)/(h**(-2/13)/h)) assuming h is positive.
h**(2178/377)
Simplify (v**(-5))**(-4/17)*((v/v**12)/v)/v*v**(10/3)*v assuming v is positive.
v**(-382/51)
Simplify ((n**(-17)*n)/((n/((n*n**16*n)/n))/n))/((n*n**(-4/5))/(n*n**14)) assuming n is positive.
n**(79/5)
Simplify ((l*l**(-23)/l)/l**(-5/3))/(l**(-30)*l*l*l*l*l/(l**3*l)) assuming l is positive.
l**(23/3)
Simplify ((j/(j*j**(1/8)))/((j/j**(-9)*j)/j))/(j*j/(j*j**(1/11))*j/(j/j**(-2/31))) assuming j is positive.
j**(-29925/2728)
Simplify (f/(f/(f/(f/f**(4/7)))))/f**19*(f/(f*f**8))**29 assuming f is positive.
f**(-1753/7)
Simplify (c**8*c**(-1/6))/(c**(-1/19)/(c*c**(-3/7))) assuming c is positive.
c**(6749/798)
Simplify ((q*q**(-14))/q)/(q/(q*(q/q**13)/q*q))*q**(-3)*q*q/(q**19/q)*q assuming q is positive.
q**(-44)
Simplify (m**(3/8))**28/(m**(1/12)*m**(-2/7)*m) assuming m is positive.
m**(815/84)
Simplify h**(1/6)/h*(h*(((h**(-29)/h)/h)/h)/h*h)/h*h*h/(h*h**(2/49)*h)*h/(h*h/h**(-7/4)) assuming h is positive.
h**(-20947/588)
Simplify (a**31*a**(1/5)*a)/(a/a**(2/35))**(1/5) assuming a is positive.
a**(5602/175)
Simplify s**(-2/13)/(s*s**5*s*s*s)*s*(s/(s**(-26)/s))/s*s*s/(s/s**(-9)) assuming s is positive.
s**(141/13)
Simplify y**(-1/50)/y*y**(-18/5)*(y*y*y**(-5/2)*y)**(-2/107) assuming y is positive.
y**(-24767/5350)
Simplify (g*g**(2/5))/(g**(-22)*g)*g**(4/7)*g**(3/8) assuming g is positive.
g**(6537/280)
Simplify (j**(-11)*j**(-1/6))/(j*j*(j**(5/2)/j)/j*j*j*j*j**(-1/5)) assuming j is positive.
j**(-247/15)
Simplify (a/((a*a**(-3/5))/a))**37/(a**(-1/8))**(4/23) assuming a is positive.
a**(13621/230)
Simplify (((h**8/h)/(h*h*((h**1/h)/h*h)/h*h))/(h*h*h**2*h)**(-15))**(1/16) assuming h is positive.
h**5
Simplify (l**(-5/7)/(l*l**(5/4)))/(l**(1/4)/(l*l**4*l)) assuming l is positive.
l**(39/14)
Simplify l**(-8)*l*l**(2/19)*l*l**(-2)/(l/(l/(l*l**6))) assuming l is positive.
l**(-283/19)
Simplify ((d**34/d)/((d*d**22)/d))**(-48) assuming d is positive.
d**(-528)
Simplify (n**(-2/7))**(-7/5)/(((n**(1/16)/n*n)/n)/n*n*n**(1/24)) assuming n is positive.
n**(311/240)
Simplify (g**(15/7)*g**(6/5))**(-14) assuming g is positive.
g**(-234/5)
Simplify (((((j/(j*(j*j*j**24*j)/j))/j)/j*j)/j)/j)/j*(j*j/j**8*j)/j*(j/j**(4/13))/(j*j**27) assuming j is positive.
j**(-823/13)
Simplify (n*n/n**(2/5))**15/((n**(-2/21)*n)/(n**(-1/12)*n)) assuming n is positive.
n**(2017/84)
Simplify (((v*v/(v*v**(3/5)))/v)/(v/v**2)*((v**(-7)*v*v)/v)/((v/(v/(v/v**3)))/v))**49 assuming v is positive.
v**(-637/5)
Simplify (f/f**1)**(-3/4)*(f**4)**(-31) assuming f is positive.
f**(-124)
Simplify w**(-2/51)/w*w**(-19)/w*w*w**(-4)*w/(w*w**(-1/11)) assuming w is positive.
w**(-13435/561)
Simplify p*p**(1/2)*p*p*p**(-12)/p*p*(((p**1/p)/p)/p)/p*p**12/p assuming p is positive.
1/sqrt(p)
Simplify p*p**6*p*p/(p**0/p)*(p**(1/8)*p)/p*p**(2/5) assuming p is positive.
p**(421/40)
Simplify (q**9)**(3/20)/(((((q/q**(-2/3))/q)/q)/q*q*q*q)/q*q)**(2/3) assuming q is positive.
q**(43/180)
Simplify w**(-1/6)/w*w/(w*w**(-7)/w)*w*((w*w**(3/4))/w)/(w*w**(1/12)*w*w) assuming w is positive.
w**(11/2)
Simplify c**7*c*c*c*c/((c*c**(-20)*c)/c)*(c**6)**11 assuming c is positive.
c**96
Simplify (((g**(1/3))**(-6/19))**34)**(2/19) assuming g is positive.
g**(-136/361)
Simplify ((a*a**(-3/4))/a)**1*a/(a*a**(-4/7))*a**(2/9) assuming a is positive.
a**(11/252)
Simplify (((g/(g/(g/((g*g**(-2/15))/g))))/g**(1/4))/(g**(-3)*g**(1/4)/g))**29 assuming g is positive.
g**(4031/30)
Simplify ((((m/(m/(m*m*m*m**(-2/9)*m*m)))/m)/m)/m)**(2/5)*(m**(-6)*m)/m**(-2/23) assuming m is positive.
m**(-4349/1035)
Simplify u**(-2/5)/(u**(-2)/u)*(u**(-1))**(-1/6) assuming u is positive.
u**(83/30)
Simplify (i**(8/3)*i**11)**(20/7) assuming i is positive.
i**(820/21)
Simplify ((u*u**(-5)/u)/(u/(u/u**(-2/11)))*(u**(-1))**(1/11))**(17/2) assuming u is positive.
u**(-459/11)
Simplify (m/m**(-11))/(((m**(-14/11)/m*m)/m)/m)*(m**(-12)*m)**10 assuming m is positive.
m**(-1042/11)
Simplify (i/i**35)/(i/(i**(-1/10)*i))*(i**(-1))**27 assuming i is positive.
i**(-611/10)
Simplify (n**(-1)/(((n*n**3)/n)/n*n))/(n/(n**(-13)/n)*n**16) assuming n is positive.
n**(-35)
Simplify (((u**0)**(-12))**(-16))**(-2/9) assuming u is positive.
1
Simplify (h**(-3))**(2/7)*h**(-4)*h**(3/5) assuming h is positive.
h**(-149/35)
Simplify k/(k*k**12)*k**
|
{
"pile_set_name": "DM Mathematics"
}
|
of 3*k**4/2 - 2*k - 3. Differentiate q(n) with respect to n.
18*n**2
Suppose 3 = 3*h - 3*z, -z - 11 = -4*h - 4*z. Find the second derivative of -5*v + h*v + 4*v - 2*v**3 wrt v.
-12*v
What is the third derivative of -7*l**3 - l**2 + 14*l**2 + 7*l**3 - 17*l**4 wrt l?
-408*l
Let m(a) = -7*a + 22. Let d(y) = -4*y + 11. Let c(i) = 11*d(i) - 6*m(i). Let j(n) = n + 6. Let z(s) = 4*c(s) + 7*j(s). Find the first derivative of z(f) wrt f.
-1
Let m = 30 - 28. What is the second derivative of -3*u - 2*u**4 - 12*u**m + 12*u**2 - 5*u**4 wrt u?
-84*u**2
Let r be ((-3)/(-1) - 1)*1. Suppose o - 5*z = 11, -r*z + 7*z = 4*o - 14. Find the first derivative of 5*v**3 - 3*v**3 + 0*v**3 - o wrt v.
6*v**2
Let j(w) be the second derivative of w**8/56 + 11*w**4/12 - 13*w. Find the third derivative of j(a) wrt a.
120*a**3
Let p(s) = s**5 + s**4 - s**2 - s + 1. Let f(b) = 30*b**5 + 3*b**4 - 3*b**2 - 15*b + 3. Let w(c) = -f(c) + 3*p(c). What is the second derivative of w(x) wrt x?
-540*x**3
Let u(r) be the first derivative of 3/4*r**4 - 3/2*r**2 + 0*r + 0*r**3 + 5. Find the second derivative of u(h) wrt h.
18*h
Let l be (6/(-8))/(3/(-12)). What is the third derivative of 11*u**2 + 0*u**2 - 9*u**2 - 2*u**l wrt u?
-12
Let m(z) be the first derivative of -z**6/5 + 5*z**4/12 + 8*z + 2. Let g(i) be the first derivative of m(i). Find the third derivative of g(p) wrt p.
-144*p
Let v be (-23)/(-5) + (-6)/(-15). Find the third derivative of 6*b**3 - 4*b**3 - 3*b**2 - 2*b**3 + 2*b**v wrt b.
120*b**2
Let l(b) be the first derivative of -9*b**4/4 + 5*b**3/3 + 10. Find the third derivative of l(n) wrt n.
-54
Let k(q) = 7*q**2 - 4*q - 44. Let i(t) = -36*t**2 + 20*t + 219. Let l(a) = -2*i(a) - 11*k(a). Find the first derivative of l(g) wrt g.
-10*g + 4
Let d(q) be the second derivative of -13*q**3/3 - 13*q**2 - 8*q. What is the derivative of d(v) wrt v?
-26
Let b = 6 - 4. Suppose 7*g = b*g + 10. What is the third derivative of 3*u**2 - 3*u**2 + 3*u**g - 3*u**5 wrt u?
-180*u**2
Let c(q) be the third derivative of 2*q**5/15 + q**4/4 - q**2. Find the second derivative of c(j) wrt j.
16
Suppose 3*f + j + j = 5, 3*f + 5*j = -1. Differentiate 11 + 0 + 10*y**2 - f - y**2 wrt y.
18*y
What is the third derivative of 2*x**4 - 8*x**2 + 8*x**2 + 7*x**2 + 4*x**4 wrt x?
144*x
Let j(x) = -4*x**3 - 14*x. Let c(f) = -3*f**3 - 13*f. Let d(v) = -7*c(v) + 6*j(v). What is the second derivative of d(r) wrt r?
-18*r
Suppose -5*k + 4*g + 429 = 139, 0 = -3*g. Let h be (-4)/18 - k/(-18). What is the third derivative of 0*t**2 - h*t**4 + t**4 - 2*t**2 + 5*t**2 wrt t?
-48*t
Let i(c) = -174*c**2 - 34*c - 161. Let h(p) = -29*p**2 - 6*p - 27. Let z(y) = 34*h(y) - 6*i(y). Differentiate z(q) wrt q.
116*q
Let p(c) be the first derivative of -7*c**6/360 + c**4/24 + c**3 - 1. Let t(h) be the third derivative of p(h). Differentiate t(n) with respect to n.
-14*n
Let s(w) be the third derivative of -w**4/6 - 4*w**3/3 - 2*w**2. Let m(g) = -g + 1. Let p(q) = 6*m(q) + s(q). What is the first derivative of p(j) wrt j?
-10
What is the third derivative of 22*v**2 + 37*v**3 - 12*v**3 - 11*v**2 wrt v?
150
Suppose 5*c = -2*k + 5, -2*k = -4*c + 2*k + 32. Suppose -c*q = 2*q - 10. Find the second derivative of q*s - s**2 - s - 2*s**2 wrt s.
-6
Let s(m) be the third derivative of m**7/30 + m**3/2 - 7*m**2. What is the first derivative of s(b) wrt b?
28*b**3
Let h(n) be the second derivative of n**6/10 - n**4/12 - 8*n**3/3 - n - 17. Find the second derivative of h(m) wrt m.
36*m**2 - 2
Differentiate 41*i**2 + 52*i - 21*i**2 + 42 - 2*i - 18*i**2 wrt i.
4*i + 50
Let v(l) = l**2 + l. Let k = 3 + -2. Let a = -16 + 14. Let n(u) = -2*u**3 + 2*u**2 - u. Let j(x) = a*v(x) + k*n(x). Find the second derivative of j(f) wrt f.
-12*f
Let l(c) be the first derivative of 0*c**2 + 0*c**6 - 4 + 0*c**4 + 0*c**5 + 4/7*c**7 + 0*c + 4/3*c**3. What is the third derivative of l(k) wrt k?
480*k**3
Let s(w) be the third derivative of 0 + 0*w**4 + 0*w - 2/3*w**3 + 0*w**5 - 6*w**2 - 11/120*w**6. What is the derivative of s(z) wrt z?
-33*z**2
Let b(f) = 34*f**3 - 39*f**2 - 2*f + 2. Let n(t) = -101*t**3 + 116*t**2 + 7*t - 7. Let s(g) = -7*b(g) - 2*n(g). What is the third derivative of s(w) wrt w?
-216
Let u(w) be the first derivative of -2*w**5/5 + 39*w**2/2 + 60*w - 2. What is the derivative of u(m) wrt m?
-8*m**3 + 39
Let m(o) be the second derivative of 2*o**6/5 - o**2 - 7*o. What is the first derivative of m(j) wrt j?
48*j**3
Suppose 3*n - 9 = -0*n. Let u(d) be the first derivative of n + 0*d**2 + d + 2/3*d**3. Differentiate u(k) wrt k.
4*k
Suppose 8*t - 15 = 3*t. What is the second derivative of 9*g**2 - 2*g - t - 11 + 14 wrt g?
18
Let a(r) be the second derivative of 23*r**6/30 + 27*r**2/2 - 32*r. Differentiate a(p) with respect to p.
92*p**3
Suppose 3 = m - 0. Find the first derivative of -3*c**3 - 5*c + 3*c - m + 2*c wrt c.
-9*c**2
Find the third derivative of -12*q**5 - 4*q**5 + 6*q**5 - 5*q**2 + 3*q**5 wrt q.
-420*q**2
Let n(r) = 2*r + 1. Let s(p) = p + 2. Let q be s(0). Let t be n(q). Find the first derivative of t + 1 + 3*m - 3 wrt m.
3
Suppose 2*o - 13 = o - 5*d, 3*o - 5*d = -21. Let a be -1 + 3 - o/1. Find the second derivative of 10*r**3 + 3*r - 10*r**3 + 3*r**a wrt r.
36*r**2
Suppose -2*z + 4 = r + 4*r, 8 = -2*r - 4*z. Find the second derivative of 0*j - j + 3*j - r*j**4 wrt j.
-24*j**2
Let f(i) = 5*i**3 + 9*i**2 + 7. Let x(l) = -2*l**3 - 4*l**2 - 3. Let q(o) = -4*f(o) - 9*x(o). Find the first derivative of q(w) wrt w.
-6*w**2
Let w(r) be the second derivative of -r**5/5 - 9*r**3/2 + 5*r. What is the second derivative of w(h) wrt h?
-24*h
Let s(y) = 6*y - 1. Let c be s(1). What is the second derivative of -2*b**5 + 2*b**4 - b**c + 3*b - 2*b**4 wrt b?
-60*b**3
Let g(q) be the first derivative of q**6/180 - q**4/12 - 2*q**3/3 - 2. Let o(z) be the third derivative of g(z). What is the first derivative of o(s) wrt s?
4*s
Let q(v) be the second derivative of 17*v**6/30 - 9*v**2/2 + 16*v. What is the derivative of q(c) wrt c?
68*c**3
Let f(m) be the second derivative of 3*m**5/10 + m**3/3 + m. Find the second derivative of f(w) wrt w.
36*w
Let y(r) = -3*r**2 - 2. Let p(o) be the second derivative of -3*o**4/4 - 3*o**2 - 3*o. Let t(j) = 2*p(j) - 7*y(j). Differentiate t(u) with respect to u.
6*u
Let c(t) be the second derivative of -31*t**5/20 + t**2/2 + 9*t. Differentiate c(l) with respect to l.
-93*l**2
Let z(w) be the first derivative of -19*w**2/2 - w - 2. Let d be z(-1). Differentiate 3*u**4 + 2 - 18*u**3 + d*u**3 with respect to u.
12*u**3
Let x(h) = -h**3 + h**2. Let d(y) = 7*y**3 + 6*y**2 - 22. Let j(u) = -d(u) + 6*x(u). Differentiate j(n) wrt n.
-39*n**2
Let j(l) be the first derivative of -l**6/10 + 3*l**2/2 - l - 1. Let w(m) be the first derivative of j(m). What is the first derivative of w(z) wrt z?
-12*z**3
Let f(z) = -z**2 - 17*z. Let j(n) = -3*n. Let o(c) = -6*f(c) + 39*j(c). Find the second derivative of o(r) wrt r.
12
Let o(u) be the first derivative of u**9/56 + u**5/6 + u**2 + 8. Let z(h) be the second derivative of o(h). What is the third derivative of z(y) wrt y?
1080*y**3
Let u(a) be the third derivative of -a**6/120 + a**5/20 - a**2. Find the third derivative of u(z) wrt z.
-6
Let w(j) be the first derivative of 2*j**3/3 + j**2/2 - 6. Find the second derivative of w(o) wrt o.
4
Let k(i) be the second derivative of -1/3*i**4 + 0*i**2 - i + 0 - 5/6*i**3. What is the second derivative of k(d) wrt d?
-8
Let f = 13 + -20. Let x(d) = 3*d**2 + 10*d. Let z(b) = -2*b**2 - 7*b. Let u(q) = f*z(q) - 5*x(q). Find the second derivative of u(g) wrt g.
-2
Suppose 4*z - 5*b = 18, -z - 6 = -4*b + 8*b. What is the second derivative of -3*r**5 + 0*r**5 - 4*r - z*r + 2*r wrt r?
-60*r**3
What is the derivative of 4*i - 6 - 6*i + 4*i - 5*i wrt i?
-3
Let q be 2 + 0 - 1*8. Let w be ((-8)/q)/((-2)/(-15)). What is the first derivative of -7*t**2 + w*t**2 - 2 + 1 wrt t?
6*t
Let j(o) = -o**3 + 3*o**2 + 3*o - 4. Let m be j(3). Find the second derivative of -f + 0*f - m*f**2 + 3*f**2 wrt f.
-4
Let l(g) be the third derivative of 2*g**7/35 - g**4/24 - 8*g**2. What is the second derivative of l(b) wrt b?
144*b**2
Suppose 0 = -2*q + 5*l - 15, -3*l = 5*q + 2*l - 15. What is the first derivative of -3 + 2 - 3 + q*o**3 - 2*o**3 wrt o?
-6*o**2
Let k(h) = h - 13. Let r(t
|
{
"pile_set_name": "DM Mathematics"
}
|
+ l + w*c and give r.
-251
Express 1571*n - 523*n - 519*n - 526*n + 212 as o + r*n and give o.
212
Rearrange 7*r**3 + 4 - 106*r - 2 - r**3 - r**3 to the form x*r**3 + o*r**2 + b*r + a and give x.
5
Rearrange (4*w + w - 2*w)*(6262 + 4868 - 4969) to g*w + m and give g.
18483
Express -263 - 272 - 140*t + 506 as r*t + h and give r.
-140
Express -416*h - 10*h**2 + 839*h - h**2 - 1 - 397*h in the form t*h + q + o*h**2 and give o.
-11
Express 146*y - 8*y**3 + 157 + 3*y**3 - 294*y + 148*y as j*y**2 + z*y**3 + c + x*y and give z.
-5
Express (17*o**2 + 18*o**2 - 50*o**2)*(40 + 4*o**2 - 790*o + 791*o - 2*o**2) in the form m + d*o**3 + n*o**4 + g*o**2 + z*o and give n.
-30
Rearrange (0 - 4 + 1)*(0*h - 4*h + 3*h)*(59 - 109 - 75)*(-6 + 4 - 1) to the form c*h + n and give c.
1125
Express (3 + 1 - 2)*(345 - 399 + 738)*(10*c + 3 - 3) as y*c + d and give y.
13680
Rearrange -7*q + 3 - 22*q - q**4 - q**2 - 133*q**3 + 133*q**3 to the form y*q**2 + h*q**4 + o*q**3 + v + u*q and give h.
-1
Express 0*c**3 + 6*c**3 - 5*c**3 + (-23*c**2 - 29*c**2 + 8*c**2)*(-3*c + 2*c - c) + (-c - 2*c + c)*(1 - 2*c**2 - 1) as s*c**2 + y + a*c**3 + f*c and give a.
93
Express 1 - 1 - a + (0 + 4 - 5)*(2*a + 4*a - 4*a) + 0*a + 2*a - a + (1 + 2 - 1 + (-1 + 0 + 3)*(-6 + 1 + 3))*(-274*a - 52*a - 74*a) as w*a + d and give w.
798
Express (185632872 - 185632872 + 21738*j)*(-j + 0 + 0) as c + p*j + l*j**2 and give l.
-21738
Rearrange -42 + 11 + 16 + 15 + 32482*y to the form f + x*y and give x.
32482
Rearrange (-8*c - 3*c - 12*c)*(2284*c**2 - 326*c**3 - 2284*c**2) to the form d + k*c + i*c**4 + v*c**3 + a*c**2 and give i.
7498
Express -2*b + 2*b + b**2 + (32*b + 5*b - 6*b)*(11*b - 5*b + 0*b) as g*b**2 + t*b + y and give t.
0
Express -k - 408914 + 6*k + 2*k**2 + 408921 as a*k + x*k**2 + d and give x.
2
Rearrange (-215 - 33 + 41)*(-3 + 2 + 3)*(27*a - 326 + 326) to v + o*a and give o.
-11178
Rearrange -170*j**2 - 2 - 37*j - 41*j + 92*j**2 + 78*j to the form x + z*j + p*j**2 and give x.
-2
Rearrange -147 - 31724*x + 31715*x - 53 to y + r*x and give r.
-9
Rearrange -185*l + 185*l + 17*l**3 + (3*l - 3*l + l)*(0*l - 2*l**2 + 0*l) - 51*l**3 - 23*l**3 - 2*l**3 to w*l**3 + a + q*l**2 + g*l and give w.
-61
Rearrange -4930*z + 69*z**2 + 4930*z + (102*z + 183 - 183)*(5*z - 3*z + 0*z) to the form h + p*z**2 + i*z and give p.
273
Rearrange -2*v**2 + 287*v**3 + 635 - 65*v**3 - 218*v**3 to the form a + i*v**3 + o*v + f*v**2 and give i.
4
Express 3 - 8 - 610254*p**3 + 5*p - 3*p**4 + 610249*p**3 in the form x + n*p**3 + d*p**2 + l*p**4 + w*p and give x.
-5
Express -5 + 0 + 3 - 10*i**3 - 118*i**2 + 121*i**2 - 1 + 3*i in the form v + m*i**3 + l*i + z*i**2 and give z.
3
Rearrange -178 - 144 + 2*s - 142 - 21*s**4 + 449 to n*s + u + p*s**4 + k*s**3 + b*s**2 and give n.
2
Rearrange (-8 - a**2 + 8)*(1 - 12 + 18)*(-3 - 2*a + 3) + (-11 + 4*a + 11)*(0*a**2 - 3*a**2 + 4*a**2) to the form s*a + j*a**2 + h + v*a**3 and give v.
18
Express 14 + 1821*n + 7 - 1867*n - 2*n**2 in the form w + z*n + d*n**2 and give z.
-46
Express 677*r**4 - 5*r - 4 - 723*r**4 + r**2 + 5*r as i*r + a*r**4 + l + b*r**2 + x*r**3 and give l.
-4
Rearrange -18299*n + 35672*n - 20038*n - n - 3*n + n + (-1 + 3 - 3)*(0*n + 2*n - 4*n) to the form x*n + k and give x.
-2666
Express -2 + q + 2 + 22 - 29 - 52 - q + 0*q + 3*q - 2*q + (5 - 2 + 1)*(1 - 3*q - 1) as j + u*q and give u.
-11
Express -343*l + 90*l - 255*l - 137*l + 26*l - 5*l**2 as p*l**2 + x*l + u and give x.
-619
Express (2*f - f + 0*f)*(3382 + 518 + 206 + 5141)*(-1 - 2*f**2 + 1) in the form l*f + j*f**2 + q*f**3 + s and give q.
-18494
Express -51 + 9*x - 66 + 43 - 3 - 58 in the form u*x + n and give u.
9
Express -1934*d - 1610 + 770*d + 3220 - 1610 in the form z + l*d and give l.
-1164
Rearrange -11191*w**4 - 2*w**2 + 4*w**2 + 0*w**2 - 4*w**3 + 2*w**3 + 11048*w**4 to the form f + t*w + j*w**4 + z*w**2 + a*w**3 and give z.
2
Express 93*s - 224*s + 129*s - 14*s**2 - 3*s**4 - 3*s**3 as i*s + n*s**2 + a*s**3 + u*s**4 + y and give i.
-2
Express -5 + 7 + 58*v - 1 + 9*v as r + j*v and give j.
67
Rearrange (-59*w + 8*w + 25*w - 6144 + 20*w)*(-3 + 5 + 0*w**2 + 3*w**2) to u*w**3 + o + z*w + f*w**2 and give u.
-18
Rearrange -2*b**2 + 2 - 1342*b**3 + 70*b - 48*b - 22*b to the form x*b**2 + f*b**3 + k*b + t and give x.
-2
Rearrange 1467049*g**2 - 3*g**4 + 183 - 1467049*g**2 + 5*g to m*g**3 + d + p*g**2 + o*g**4 + j*g and give o.
-3
Rearrange 4*g**3 - 24*g**3 - 9*g**3 + 15*g**2 - 40*g**2 + 2*g**3 to the form t*g**3 + x*g + s + o*g**2 and give o.
-25
Express (5*f**2 + 5*f**2 - 4*f**2)*(-2*f - f + 2*f) + 117*f - 117*f + f**3 + f**2 in the form m*f + v*f**2 + i*f**3 + l and give v.
1
Express 31093*t**2 - 16276*t**2 - 4972*t**2 as j*t + o + s*t**2 and give o.
0
Express (-5 + 2 - 6)*(-4 + 1 + 2)*((2 + 2 - 11)*(5 + 9 - 5) - 3 - 1 + 2)*(12*o + 18*o - 13*o) as g*o + u and give g.
-9945
Express -4*h**2 + 9*h**2 + 3*h**2 + (-5*h + 0*h + 3*h)*(-2 + 2 + 2*h) - 2 + 2 - 3*h**2 + (3*h + 53 - 53)*(2*h - 14*h + 3*h) as l*h + g*h**2 + y and give g.
-26
Express -5*f**4 + 12*f + 5*f**2 + 98 - 25*f**3 + 23*f**3 - 4*f**2 - 100 in the form y*f**3 + j*f**4 + s*f**2 + i + u*f and give y.
-2
Rearrange (6 - 2*m**2 - 6)*(1326 - 4671 - 2501 - 1712) to k + h*m**2 + a*m and give h.
15116
Express -4*a**2 - 236*a**4 - 8*a - 2 + 359*a**4 - 4*a**2 + 10*a + 7*a**2 as g*a**4 + m*a + s*a**2 + i + h*a**3 and give i.
-2
Rearrange (1 - 31 - 47)*(0 + 1 + 1)*(-1 + 1 - 1)*(t + 0*t - 2*t) to d*t + h and give h.
0
Express -2 - 2 - 731*x**2 + 94*x**3 + 734*x**2 in the form n*x**3 + k*x + h + y*x**2 and give k.
0
Rearrange (0*y + 2*y - 4*y)*(2*y + 4*y - y) - y**2 - 2*y**2 + 0*y**2 - 4*y**2 + 2*y**2 + 0*y**2 + 4*y**2 + 0*y**2 + 0*y**2 to u*y + d + t*y**2 and give t.
-11
Express 2*c**3 - c**3 + 3*c**3 + (166 - 301 + 234)*(1 + 2*c - 1)*(0*c + 0*c - 2*c**2) in the form s*c**2 + y + h*c**3 + q*c and give h.
-392
Express (0*s + 4*s + 0*s)*(-4 + 1 + 4)*(6 - 14*s + 7*s - 83*s) as t + c*s**2 + o*s and give c.
-360
Rearrange -299*o**3 + 706*o**3 + 690*o**3 - 3*o**2 + o**3 + 3*o**2 + (-11*o + 3*o**2 + 11*o)*(-3*o + 3 - 3) to u*o + l + v*o**3 + n*o**2 and give v.
1089
Express 5*b - 6*b - 2*b + (6 - 8 + 5)*(179*b - 2831 + 2831) as n + h*b and give h.
534
Rearrange 4*l**2 + 432*l - l**2 - 141*l - 144*l + 4 + 10*l**3 - 148*l to x + a*l**2 + c*l**3 + y*l and give y.
-1
Rearrange -310 + 630 + 1113*j - 319 to the form m*j + h and give m.
1113
Rearrange -2 - 737*w + 737*w - 3*w**2 - 7*w**4 + 991*w**3 + 26 - 989*w**3 to n*w**3 + v*w**2 + d + l*w**4 + t*w and give v.
-3
Express -2*m + 4*m - 2*m**2 - m + 10*m**2 - 2*m**2 + 0*m**2 + (-3 + m + 3)*(-m + 2*m + 0*m) + 2*m**2 + 4*m**2 - 3*m**2 in the form v + u*m + n*m**2 and give u.
1
Rearrange -11*j**4 + 15*j + 23*j**4 + 150*j**3 - 151*j**3 - 13*j**4 + j**2 to m + g*j**3 + d*j**4 + x*j + r*j**2 and give g.
-1
Express -16 + 6589*o**2 - o**3 + 2*o - 6592*o**2 + 2 as u + k*o + l*o**2 + b*o**3 and give l.
-3
Express (-2 + 5 + 0)*(516 - 1043 + 526 + 1089*z) as m*z + o and give m.
3267
Rearrange 26209 - 34362*n - 26209 to the form d + j*n and give j.
-34362
Rearrange 7669 - 7669 + 4793*u**2 to g*u**2 + w + y*u and give g.
4793
Express (7*l**3 - 3*l**3 + 16*l**3 + (-l**2 + l**2 + l**2)*(7*l - 2*l - 2*l))*(-88 - 133 - 8 + 29) as r*l + x*l**3 + o*l**2 + a and give o.
0
Express 190710*d**2 - d**3 - 2*d**3 - 190701*d**2 - 34 - 14 + d as x*d**2 + u*d + o + n*d**3 and give n.
-3
Express (-19637 - 4893 - 10660 + 4314 + 147)*(-3 + 7 - 1)*(-3*v + 2*v + 0*v) as l + n*v and give n.
92187
Express (1289*l + 404*l + 1003*l + 227*l + 2599*l)*(-l**2 + 3*l**2 + 0*l**2) as h + x*l + b*l**3 + s*l**2 and give b.
11044
Rearrange -41 + 3*i - 27 - 648*i**2 + 213*i**2 + 66 - 12*i**3 + 15*i**3 to t*i**2 + h + d*i + m*i**3 and give h.
-2
Rearrange -3*a + 18 + 16*a**3 + 10 + 2*a**2 + 14*a**3 + 3*a**3 - 27 to z*a + c*a**2 + s + g*a**3 and give c.
2
Express (-2*h + 4 - 4 + (4*h + 0*h - h)*(-5 + 3 - 1))*(4*h - 2*h + 7*h + (-2 - 3 + 4)*(-102 + 102 - 18*h)) as d + t*h**2 + v*h and give t.
-297
Express (-4 - 2*q**2 + 4)*(2*q - 71 + 589 + 1067) as w*q**3 + b*q**2 + p*q + v and give b.
-3170
Express 742*r**4 + 6 - 2 + 3*r + 75 - 372*r**4 - 371*r**4 - 2*r**2 in the form z + w*r**4 + a*r**3 + x*r**2 + j*r and give j.
3
Express -3034*k - 1148*k + 2589*k as j + w*k and give w.
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
- 165*m**2 - 39*m = 0. What is m?
-3/19
Factor 54/5*p**2 + 4/15*p**5 + 24*p**3 + 0 + 74/15*p**4 + 0*p.
2*p**2*(p + 9)**2*(2*p + 1)/15
Let h(c) be the second derivative of -c**5/40 - 7*c**4/36 - 17*c**3/36 - c**2/2 - 136*c. Factor h(t).
-(t + 1)*(t + 3)*(3*t + 2)/6
Let g be 4 + 0*3/6. Suppose 4*b**5 + 5*b**3 + g*b**2 - 4*b**4 + b**3 - 3*b**3 - 7*b**3 = 0. What is b?
-1, 0, 1
Let i(d) be the third derivative of 0*d + 0 - 19*d**2 + 0*d**3 + 13/288*d**4 - 1/720*d**5. Solve i(v) = 0 for v.
0, 13
Let q = 1681 + -5041/3. Find k, given that -2/3 - k**3 + k + q*k**2 = 0.
-1, 2/3, 1
Let u = -10110 - -1213207/120. Let f(y) be the second derivative of 0*y**2 - 2*y - 1/8*y**4 - u*y**5 + 0 - 1/18*y**3. Factor f(b).
-b*(b + 1)*(7*b + 2)/6
Suppose 9*b - 4*b - 40 = 0. Let o = -5 + b. Determine h so that -8*h**4 - 7*h**4 + o*h**5 - 3 + 9*h - 10*h**2 + 6*h - 20*h**2 + 30*h**3 = 0.
1
Let j = 463/4 - 2309/20. Let g(h) be the first derivative of -1/5*h + 7 - 1/5*h**3 - j*h**2 - 1/20*h**4. What is u in g(u) = 0?
-1
Let o(y) be the first derivative of -1/24*y**6 - 1/16*y**4 + 0*y**2 + 0*y + 0*y**3 - 18 + 1/10*y**5. Factor o(x).
-x**3*(x - 1)**2/4
Let m(o) = -2*o - 3. Let f(n) = -6*n - 9. Let q(c) = 4*f(c) - 11*m(c). Let a be q(-3). Solve -11*p**3 + 5*p**2 + p + p + 2*p**3 - a*p**3 = 0 for p.
-1/4, 0, 2/3
Suppose 6*b + 0*b**4 + 2*b - 9*b**2 - 13*b + b**4 - 3*b**3 = 0. What is b?
-1, 0, 5
Let y(a) = 8*a**4 - 56*a**3 - 128*a**2 - 68*a. Let x(n) = -9*n**4 + 55*n**3 + 127*n**2 + 68*n. Let b(c) = 4*x(c) + 5*y(c). What is k in b(k) = 0?
-1, 0, 17
Let f be 4/10 - (-130)/50. Let s be (6/4)/f*10. Let -p + 28*p**2 + 6*p + 23*p**4 - 3*p**4 + 4*p**s + 3*p + 36*p**3 = 0. What is p?
-2, -1, 0
Let p = 135/8 - 401/24. Let t(c) be the third derivative of -1/84*c**8 - 5*c**2 + 0*c**3 + 0*c + 0*c**5 - p*c**4 + 0 + 1/15*c**6 + 0*c**7. Factor t(n).
-4*n*(n - 1)**2*(n + 1)**2
Let w(k) = k**3 + 6*k**2 - 3*k + 30. Let b be w(-7). Find r such that -4/7 - b*r**2 + 18/7*r = 0.
2/7, 1
Let g(c) = 78*c - 8. Let t be g(1). Suppose -9*i**3 + t*i**3 + 14*i**5 - 66*i**4 - 96*i + 80*i**2 - 2*i**3 + 5*i**3 - 32 = 0. Calculate i.
-1, -2/7, 2
Factor -15/2*q**2 - 1/2*q**4 - 9/2*q**3 - 7/2*q + 0.
-q*(q + 1)**2*(q + 7)/2
Suppose y = -5*u - 16, -3*u - 85 = 2*y - 81. Factor 0 - 2*l**y - 4/3*l - 1/3*l**5 - 13/3*l**3 - 4*l**2.
-l*(l + 1)**2*(l + 2)**2/3
Suppose -2*z - 6 + 10 = 0. Let -53 + 2*u**3 + u**z + 53 - 3*u**2 = 0. What is u?
0, 1
Suppose 2*w = -w + 120. Solve -240*y + 6*y**2 + w*y**4 + 240*y + 30*y**3 - y**2 = 0.
-1/2, -1/4, 0
Suppose m - 14*m**2 - m**3 + m**2 + 6*m**2 + 7*m**2 = 0. What is m?
-1, 0, 1
Let g be (-5)/6*2408/(-1505). Solve -18*h**4 + 6*h**2 - g*h - 40/3*h**5 + 0 + 8/3*h**3 = 0.
-1, 0, 1/4, 2/5
Factor 12/5*o**2 - 2/15*o**3 - 52/5 - 118/15*o.
-2*(o - 13)*(o - 6)*(o + 1)/15
Let c be 1/(-1*(-2)/(-10)). Let a be (c - 1)/(10/(-5)). Suppose -10*x**3 - 21*x**4 - 12 - 48*x - 63*x**3 - 3*x**5 - 75*x**2 + 16*x**a = 0. What is x?
-2, -1
Let v be 72/(-8)*42/(-35)*(-40)/(-36). Determine n so that 69/4*n**2 + 3 + 9/4*n**4 - 21/2*n**3 - v*n = 0.
2/3, 1, 2
Let p(y) be the third derivative of y**8/210 + 2*y**7/525 - 11*y**6/50 - 16*y**5/75 + 8*y**4/15 - 131*y**2. Let p(j) = 0. What is j?
-4, -1, 0, 1/2, 4
Let h(k) be the second derivative of -k**5/10 + 8*k**4/3 - 5*k**3 + 3*k + 7. Determine b so that h(b) = 0.
0, 1, 15
Let c(y) be the first derivative of -y**6/90 + 2*y**5/15 - 2*y**4/3 + y**3/3 + 12. Let t(l) be the third derivative of c(l). Factor t(a).
-4*(a - 2)**2
Let d(l) = l**2 + 5*l - 640. Let p be d(23). Let i(c) be the third derivative of -4*c**2 - 1/480*c**6 - 1/240*c**5 + 0 + 0*c + 0*c**3 + 0*c**p. Factor i(x).
-x**2*(x + 1)/4
Let p = -461/20 + 774/5. Let q = -131 + p. Factor 1/2 + 1/4*w**2 + q*w.
(w + 1)*(w + 2)/4
Let n = -25 - -11. Let q = 18 + n. Factor o**3 - 5*o**3 + q*o**5 + 0*o**3.
4*o**3*(o - 1)*(o + 1)
Determine i so that -32/5*i**3 + 24/5 - 56/5*i**2 + 4*i + 12/5*i**5 + 32/5*i**4 = 0.
-3, -1, -2/3, 1
Let 41*c**4 - 3*c**3 + 3*c - 4*c**4 + 6*c**4 - 82*c**2 + 39*c**2 = 0. Calculate c.
-1, 0, 3/43, 1
Factor 24*s**5 + 3/2*s**2 + 0 + 0*s + 12*s**4 - 21/2*s**3.
3*s**2*(s + 1)*(4*s - 1)**2/2
Let u(i) = i**3 + 8*i**2 + 3. Let a be u(-8). Factor -7*f - f**5 + 7*f - 2*f**a + 2*f**4 + f**4.
-f**3*(f - 2)*(f - 1)
Suppose 3*i = 4*i - 14. Suppose 28 + i = 3*f. What is y in -2*y - f + 3*y**3 - y**2 + 14 = 0?
-2/3, 0, 1
Let q(p) = -3*p**2 - 99*p + 102. Let x(y) = 6*y**2 + 198*y - 204. Let v(s) = 11*q(s) + 6*x(s). Suppose v(l) = 0. What is l?
-34, 1
Factor -1/4*b**2 + 5*b - 3 - 3/4*b**3.
-(b - 2)*(b + 3)*(3*b - 2)/4
Let r(g) = -g. Let y(a) = 2*a**2 - 14*a + 50 - 13*a + 3*a. Let p(k) = -4*r(k) + y(k). Solve p(j) = 0.
5
Let j(c) be the third derivative of -c**5/140 - 5*c**4/24 + 2*c**3/7 - 109*c**2 - 2. Solve j(l) = 0 for l.
-12, 1/3
Let l be (-9)/(2/((-304)/(-12))). Let y = l - -160. Solve w**4 - 4*w - 42*w**5 + y*w**5 + 4*w = 0 for w.
-1/4, 0
Factor 416/7 + 240/7*j + 6*j**2 + 2/7*j**3.
2*(j + 4)**2*(j + 13)/7
Let a(x) = -16*x**5 - 21*x**4 + 7*x**3 - 13*x**2 - 6*x - 11. Let f(l) = -l**5 - l**4 + l**3 - l**2 - l - 1. Let q(r) = -4*a(r) + 60*f(r). Factor q(c).
4*(c - 1)*(c + 1)**3*(c + 4)
Let g = 2/13 - 72/637. Let x = g - -88/245. Factor -x*v**3 + 2/5*v**4 + 0*v**2 + 0 + 0*v.
2*v**3*(v - 1)/5
Let h(g) = g**3 - g - 1. Let s be h(2). Suppose 3*q + 2*q + 5 = -5*j, 4*q = 2*j + 14. Factor w**5 - 3*w**s + 6*w**4 - q*w + 2*w - 4*w**3.
-2*w**3*(w - 2)*(w - 1)
Let a(p) be the second derivative of -p**6/240 - p**5/80 + 5*p**3/3 - 9*p. Let v(m) be the second derivative of a(m). Factor v(s).
-3*s*(s + 1)/2
Let u(x) be the first derivative of -5*x**8/336 + x**7/14 - x**6/12 + 13*x**2/2 - 6. Let b(z) be the second derivative of u(z). Determine t so that b(t) = 0.
0, 1, 2
Let i(y) = -10*y**2 - 17*y - 6. Let a be (-95)/38*16/10. Let v(n) = -12*n**2 - 18*n - 6. Let m(t) = a*i(t) + 3*v(t). Find f such that m(f) = 0.
-3, -1/2
Let g(q) be the first derivative of -q**6/2160 - q**5/90 - q**4/9 - 5*q**3/3 + 18. Let b(z) be the third derivative of g(z). Factor b(s).
-(s + 4)**2/6
Let h(i) be the third derivative of -3*i**7/280 + i**6/120 + i**5/2 + 3*i**4/2 - 35*i**3/6 + 33*i**2. Let g(s) be the first derivative of h(s). Factor g(c).
-3*(c - 3)*(c + 2)*(3*c + 2)
Let b be (-9 + 4 - -12) + -4 + -3. Suppose 1/5*o**4 + 2/5*o - 3/5*o**2 + b*o**3 + 0 = 0. What is o?
-2, 0, 1
Let m(c) be the third derivative of c**7/735 - 199*c**6/420 + 2211*c**5/35 - 25047*c**4/7 + 95832*c**3/7 - 290*c**2. Find k such that m(k) = 0.
1, 66
Let p = 16910/6339 - 2/2113. Factor 4*j + 8/3 - p*j**2.
-4*(j - 2)*(2*j + 1)/3
Let a(s) = 5*s + 12. Let c(n) = 14*n + 37. Let p(f) = -11*a(f) + 4*c(f). Let u be p(-8). Factor 16*g**4 + 20 - 20*g**2 + 10*g**5 - 2*g - u*g**3 - 3 - 13.
2*(g - 1)*(g + 1)**3*(5*g - 2)
Let b(j) be the second derivative of j**7/14 - 113*j**6/10 + 84*j**5/5 + 594*j. Factor b(h).
3*h**3*(h - 112)*(h - 1)
Let -88/7*l - 48/7 + 2*l**3 - 36/7*l**2 + 2/7*l**5 + 12/7*l**4 = 0. What is l?
-3, -2, -1, 2
Factor 2/3*t**3 + 1/3*t**2 - 3/2 - 2*t - 1/6*t**4.
-(t - 3)**2*(t + 1)**2/6
Let v(i) be the third derivative of 0*i + 1/120*i**6 - 1/24*i**4 + 1/420*i**7 + 0*i**3 - 17*i**2 + 0 - 1/120*i**5. Factor v(h).
h*(h - 1)*(h + 1)*(h + 2)/2
Let s = 732800 - 589903829/805. Let h = s + -2/161. Solve 1/5*j - h - 1/5*j**3 + 1/5*j**2 = 0 for j.
-1, 1
Let f = -110/29 - -2866/725. Let j(h) be the first derivative of 4/15*h**3 - 3 - f*h**5 + 1/5*h**2 + 0*h + 0*h**4 - 1/15*h**6. Factor j(l).
-2*l*(l - 1)*(l + 1)**3/5
Let o = 9958 + -9958. What is p in 0 + 2/15*p**4 + 2/15*p**2 - 4/15*p**3 + o*p = 0?
0, 1
Let s = 848 + -5934/7. Factor -10/7*m + s + 18/7*m**2 - 2*m**3 + 4/7*m**4.
2*(m - 1)**3*(2*m - 1)/7
Factor -17/3*z + 7/3*z**2 + 2.
(z - 2)*(7*z - 3)/3
Let o(t) = -t**3 - 2*t**2 + 3*t + 5. Let g be o(-5). Solve 0*p**2 + 60*p + 5*p**2 - g*p = 0 for p.
0, 1
Let q = 1889/180 + -94/9. Let j(l) be the third derivative of 0*l + 0*l**3 + q*l**5 - 1/70*l**7 + 1/4*l**4 - 1/20*l**6 + 0 - 4*l**2. Factor j(b).
-3*b*(b - 1)*(b + 1)*(b + 2)
Determine q, given that -5*q**3 - 141*q - 142*q**2 + 0*q**3 + 127*q - 7*q**3 - 8*q**3 = 0.
-7, -1/10, 0
Let k(a) = 3*a**2 - 20*a + 29. Let t(p) = -11*p - 50. Let x be t(-7). Let u(m) = 39*m**2 - 261*m + 378. Let f(l) = x*k(l) - 2*u(l). Solve
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{
"pile_set_name": "DM Mathematics"
}
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o*h(c) + w*y(c).
c + 2
Let t(h) = h**3 - 3*h**2. Let g(f) be the first derivative of 0*f**2 + 0*f - 4/3*f**3 + 1/4*f**4 + 2. Give 3*g(q) - 4*t(q).
-q**3
Let y(h) = -5*h - 1. Let r(m) = 3*m + 3*m + 3*m + 1. Let g = 11 - 6. Give g*y(w) + 3*r(w).
2*w - 2
Let k(s) = 7*s + 4. Let j(m) = -15*m - 9. Let t(r) = 2*j(r) + 5*k(r). Let y(g) = 6*g + 3. Give 4*t(b) - 3*y(b).
2*b - 1
Let c(j) = 109*j + 3 - 6 - 3*j**2 - 4 - 102*j. Let m(t) = -3*t**2 + 6*t - 6. Calculate 6*c(b) - 7*m(b).
3*b**2
Let g(o) = -11*o + 5. Let f(k) = k + 1. What is 5*f(n) - g(n)?
16*n
Let n(d) = -15 - 6 - 8*d - 14 + 42. Let g(l) = 4*l - 3. Determine 7*g(w) + 3*n(w).
4*w
Let f(x) = 3*x + 6. Let i(t) = 3*t + 12. Let s(y) = -16*y - 61. Let m(r) = 11*i(r) + 2*s(r). Let u be m(-7). Let l(o) = -2*o - 5. Determine u*f(n) + 4*l(n).
n - 2
Let p(c) = -3*c - 4. Let g be p(-5). Let o = 8 - g. Let t(n) = -2*n + 2. Let h(w) = -5*w + 5. Calculate o*h(d) + 8*t(d).
-d + 1
Let m(c) = -c + 8. Let p(x) be the third derivative of -x**3/6 + 9*x**2. Calculate m(y) + 6*p(y).
-y + 2
Let y(l) = -9*l**2 - 5*l + 3. Let g(f) be the third derivative of -f**5/15 - f**4/12 + f**3/6 + 48*f**2. What is -7*g(v) + 3*y(v)?
v**2 - v + 2
Let u be (5/(-3))/((-1)/3). Let w(f) = 4*f**2 + 5*f - 5. Let y = -58 - -59. Let k(x) = -x**2 - x + 1. What is u*k(i) + y*w(i)?
-i**2
Let v(l) = -5*l + 1. Let f(m) = -13*m - 22*m + 34*m. Suppose 0*p - 1 = 3*r - 2*p, 3*p + 8 = -5*r. Calculate r*v(s) + 6*f(s).
-s - 1
Suppose -3*o - 5 = -8*o. Let j(h) = -6*h**3 + 5*h**2 - 5. Let i(n) = n + 11. Let l be i(-7). Let t(q) = q**3 - q**2 + 1. Calculate l*t(g) + o*j(g).
-2*g**3 + g**2 - 1
Let c(p) = 2*p - 83. Let j(y) = 4*y - 167. Determine 9*c(n) - 4*j(n).
2*n - 79
Let y(x) = 19*x**3 + 13*x**2 - 11*x + 2. Let d(w) = -9*w**3 - 6*w**2 + 5*w - 1. Determine -13*d(q) - 6*y(q).
3*q**3 + q + 1
Let i(x) = -29*x**3 + 14*x - 2. Let y(n) = -10*n**3 + 5*n - 1. Give -3*i(m) + 8*y(m).
7*m**3 - 2*m - 2
Let y(s) = -2*s**3 - s**2 + 4*s. Let o(w) = w**3 + w**2 - 3*w. Determine -4*o(r) - 3*y(r).
2*r**3 - r**2
Let q(t) = -85*t**3 + 3*t**2 - 3. Let b(x) = 170*x**3 - 5*x**2 + 5. Calculate 3*b(n) + 5*q(n).
85*n**3
Let o(i) = 10*i**2 - 6*i - 11. Let l(x) = 2*x**2 - x - 2. Calculate -11*l(r) + 2*o(r).
-2*r**2 - r
Let o(s) = 4*s**3 - s**2 + 3*s. Let q(p) = p**3 + p. Give -o(u) + 5*q(u).
u**3 + u**2 + 2*u
Let w(k) = -k**2 + k. Suppose -5*f + 2*o = 3*o, -o = 2*f - 3. Let x(v) = v**2 - 1. Let l = -8 - -12. Suppose -7*c + 11*c = l. Determine c*w(h) + f*x(h).
-2*h**2 + h + 1
Let n(f) = -9*f**2 + 65 - 65 - 5*f + f. Let s(m) = -5*m**2 - 2*m. What is 6*n(v) - 11*s(v)?
v**2 - 2*v
Let s(l) = -5*l**2 - 7*l - 8. Let q be (1 + -3)*39/(-6). Let n(c) = 11*c**2 + 15*c + 17. Determine q*s(v) + 6*n(v).
v**2 - v - 2
Let o(w) = -4*w - 3. Suppose -12*t - 12 = -8*t. Let p(f) = -5*f - 4. Determine t*p(q) + 4*o(q).
-q
Let k(m) = -43*m**2 - 17. Let z(d) = -7*d**2 - 3. Determine -6*k(t) + 34*z(t).
20*t**2
Let d(r) = -5*r - 7. Let t(n) = -n**3 + 4*n**2 + 2*n - 2. Let z be t(3). Let p(v) = -11*v - 15. Give z*d(f) - 6*p(f).
f - 1
Let i(t) = -t**3 + t**2 - 5*t + 5. Let p(x) = -x**3 - x + 1. What is i(v) - 5*p(v)?
4*v**3 + v**2
Let j(x) be the third derivative of x**4/12 - 46*x**2. Let r(a) = 1. Give j(w) - r(w).
2*w - 1
Let k(s) = s + 3. Suppose 4*u + v - 5 = -22, 8 = -3*u + 4*v. Let l(i) be the second derivative of -i**3/6 - i**2 + i. What is u*k(w) - 5*l(w)?
w - 2
Let z(f) = -2*f**3 - f**2 - f + 3. Let p(v) = 2*v**3 + v**2 + v - 4. Give -3*p(d) - 4*z(d).
2*d**3 + d**2 + d
Let c(w) = -5*w. Let u(v) = -v + 6 - 3 - 3. Determine c(p) - 6*u(p).
p
Let h(n) = -10*n - 4. Let v(y) = 1. Give -h(k) - 4*v(k).
10*k
Let c(w) = 5*w**2 + 47*w + 9. Let b(q) = 2*q**2 + 23*q + 4. Determine -7*b(a) + 3*c(a).
a**2 - 20*a - 1
Let w(v) = -65*v + 2. Let n(i) = 32*i - 1. Determine -5*n(o) - 2*w(o).
-30*o + 1
Let f(a) = -3*a**3 - 7*a**2 - 6*a + 6. Let g(x) = 3*x**3 + 6*x**2 + 5*x - 5. Give -5*f(k) - 6*g(k).
-3*k**3 - k**2
Let v(t) = -8*t**2 + 7*t. Let w(f) = -17*f**2 + 15*f. Let b = -4 - -10. Suppose -4*l = -b*l + 12. What is l*w(o) - 13*v(o)?
2*o**2 - o
Let m(k) = 5*k**3 - 6*k**2 - 7*k. Let i(z) = 3*z - 6. Let f = -6 - -11. Let x = 9 - f. Let v be i(x). Let c(a) = -a**3 + a**2 + a. What is v*c(l) + m(l)?
-l**3 - l
Let y(u) be the second derivative of -7*u**5/20 + u**4/2 - 3*u**2 + 7*u. Let h(k) = -6*k**3 + 5*k**2 - 5. Calculate -6*h(f) + 5*y(f).
f**3
Let d(f) = -2*f. Let t(b) be the third derivative of b**4/24 + 2*b**2. Give -3*d(n) - 5*t(n).
n
Suppose -2*s + 10 = -0*s, 5*s - 21 = 2*p. Let q(o) = -48*o. Suppose -3*v - 11*h + 14*h = 93, 97 = -3*v + h. Let l(y) = -3*y. What is p*q(x) + v*l(x)?
3*x
Let l be (0/2)/(6/6). Let v(i) = l*i - 3*i**2 + 9 - 5*i + 0*i**2. Let f(t) = 2*t**2 + 3*t - 5. Calculate 5*f(g) + 3*v(g).
g**2 + 2
Let l(y) = -1. Let a be 7/4 + 2/8. Let c(i) = -5*i + 2*i + 0*i - 2 + a*i. What is -2*c(z) + 5*l(z)?
2*z - 1
Let d(r) be the third derivative of 3*r**5/20 + r**4/8 + 5*r**3/6 - 5*r**2. Let a(q) = -5*q**2 - 2*q - 3. What is 7*a(g) + 4*d(g)?
g**2 - 2*g - 1
Let d(j) = 8*j. Let r(w) = w. Let b(k) = 6*k + 4. Let p be b(-3). Give p*r(q) + 2*d(q).
2*q
Let k(q) be the first derivative of 0*q + 7/2*q**2 + 4 - 7/3*q**3 - 1/4*q**4. Let m(p) = -p**3 - 5*p**2 + 5*p. Calculate 5*k(r) - 7*m(r).
2*r**3
Let o(s) = s + 3 - s + s - 4. Let y(z) = -z. What is -3*o(w) - y(w)?
-2*w + 3
Let h(z) = 8*z + 19. Let p(s) = -s - 1. Calculate h(r) + 6*p(r).
2*r + 13
Let o be (4 + -2)/((-2)/6). Let v(t) = 2*t**2 + 6*t - 6. Let r(z) = z**2 - 11*z + 20. Let l(c) = 3*c - 5. Let b(i) = 9*l(i) + 2*r(i). Give o*b(a) + 5*v(a).
-2*a**2
Let u(g) = -13*g**2 + 5*g. Let x be ((-20)/25)/(1/5). Let q(i) = -3*i**2 + i. Give x*u(f) + 18*q(f).
-2*f**2 - 2*f
Let n(j) be the first derivative of -j**5/120 + j**3 - 5. Let i(c) be the third derivative of n(c). Let p(w) = -2*w**2 + 8*w + 1. Determine 6*i(l) + p(l).
-2*l**2 + 2*l + 1
Let k be (-8)/(-3)*(39 - -6). Let p(l) = -120 + k + 3*l. Let r(m) = -m**2 - 13*m. Determine 9*p(c) + 2*r(c).
-2*c**2 + c
Let j(z) = -3*z**2 - 13*z + 5. Let b(s) = 2*s**2 + 12*s - 5. Let i(o) = 6*b(o) + 5*j(o). Let l(m) = m**2 - m + 1. Give i(d) + 6*l(d).
3*d**2 + d + 1
Let v(m) = -6*m. Let r(p) = -3*p + 1. Let j(t) = -16*t + 5. Let x(a) = -2*j(a) + 11*r(a). Calculate -v(u) + 2*x(u).
4*u + 2
Let f(w) = -w**2. Let p(r) = 6*r**3 - 2*r**2 + r. Let x be p(1). Let o(t) be the third derivative of t**5/20 + t**4/24 - t**3/3 + t**2. Give x*f(s) + o(s).
-2*s**2 + s - 2
Let g(z) be the first derivative of z**4/4 + z**3 - z**2 + 2*z + 5. Let b(u) = -u**2 + u - 1. Give -2*b(k) - g(k).
-k**3 - k**2
Let x(h) = h + 7. Suppose 4*i = -4*p + 40, 4*p - i = 3*p + 2. Let t(y) = -y - 6. Suppose -5*v + 11 = -24. Determine p*x(m) + v*t(m).
-m
Let z(i) = -i**2 + i + 1. Let l(m) be the second derivative of -m**4/12 + 2*m**3/3 + m**2 + 36*m. Calculate -l(a) + 3*z(a).
-2*a**2 - a + 1
Let h(t) = t**2 + 2*t + 2. Let f(v) be the first derivative of 2*v**3/3 + 3*v**2/2 + 2*v + 2. Suppose 10 = 6*a - a. Determine a*f(r) - 3*h(r).
r**2 - 2
Let s(j) = j + 13 + 4*j - 2*j. Let n(x) be the first derivative of 4 - 4*x - 1/2*x**2. What is -7*n(b) - 2*s(b)?
b + 2
Let b(p) = -4*p - 23. Let x(r) = -2*r - 11. Give 4*b(u) - 9*x(u).
2*u + 7
Let f(n) = 11*n - 11. Let r = -44 - -51. Let z(y) = -5*y + 5. Calculate r*z(h) + 3*f(h).
-2*h + 2
Let y(t) = -7*t + 1. Suppose -2 - 4 = -r. Let s(k) = -7*k - 6. Let m(g) = 13*g + 11. Let h(a) = 6*m(a) + 11*s(a). Determine r*h(j) + y(j).
-j + 1
Let i(y) = -9*y**2 + y + 5. Let n(c) = -10*c**2 + c + 6. What is -4*i(j) + 3*n(j)?
6*j**2 - j - 2
Suppose -3*r + 19 = -4*k, 2*r - r = 5*k + 21. Let j(h) = h + 4. Let c(x) = -x - 5. Let a(v) = 4*c(v) + 5*j(v). Let o(f) = -6*f - 1. Determine r*o(s) + 4*a(s).
-2*s - 1
Let b(x) = x**2 + 10*x + 8. Let o be b(-9). Let k(i) = i - 2. Let f(l) = -l**3 - l. Let p(c) = 2*c + 3. Let v be p(-2). Determine o*f(g) + v*k(g).
g**3 + 2
Let v(k) = k**3 - 3*k**2 - 31*k + 1. Let p(j) = -2*j**3 + 4*j**2 + 32*j - 2. What is 3*p(d) + 4*v(d)?
-2*d**3 - 28*d - 2
Let m(t) = 2*t - 5. Let o(r) = -r + 1. Calculate 2*m(b) + 6*o(b).
-2*b - 4
Let t(h) = -h + 1. Let b(c) = -1. Let r(w) = 3*w + 2. Let m(v) = -4*b(v) - r(v). Give -m(f) + 2*t(f).
f
Let q(u) = 4*u - 7. Suppose 14*p = 12*p - 12. Let o(a) = -a + 1. Let d = -4 + 3. Give d*
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{
"pile_set_name": "DM Mathematics"
}
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) = -4*d**2 - 6*d - d**3 + 4*d**2 + 7*d**o - d**2. Give f(4).
8
Suppose 4*s - f = 3*s - 7, -s = -2*f + 10. Let t(b) = 2*b**2 + 2*b + 4. Let u(o) = -3*o**2 - o - 5. Let r(w) = s*t(w) - 3*u(w). What is r(4)?
-5
Let a(u) = -u**3 - 4*u**2 - 2*u. Suppose 4*y + 3*s - 5 = 1, 0 = 5*y - 4*s - 23. Let l be (-1*0/3)/(16 + -18). Suppose l = 3*i - 4*i - y. What is a(i)?
-3
Let p(w) be the second derivative of -1/2*w**3 + 0 + 0*w**2 + 5*w - 1/60*w**5 + 5/24*w**4. Let z(j) be the second derivative of p(j). Give z(-5).
15
Let u(i) be the second derivative of i**4/12 + 5*i**3/6 - 25*i. Calculate u(-5).
0
Let y be -2*(3 - 28/8). Let v(o) = 3 + y + 2*o + 0*o**2 - 1 + o**3 - 4*o**2. Let j(p) = p**2 + 3*p - 1. Let m be j(-4). Give v(m).
0
Let p(v) = -7*v**2 + 4*v - 3. Let i(w) = -15*w**2 + 8*w - 6. Let y(g) = -6*i(g) + 13*p(g). Suppose 0 = -8*j + 7 + 25. Suppose 6 = -j*l + 26. Calculate y(l).
-8
Let u(j) = -120*j**2 + 119*j**2 + 5 + 2*j - 14 + 9*j. Determine u(9).
9
Let p(l) = l**2 + 10*l - 4. Let w be (-35)/(35/7) - 2. What is p(w)?
-13
Let x be 2/(-1) - 5*-1. Suppose -p - 1 = -x. Let g(r) be the first derivative of r**2/2 + 2*r + 1016. Determine g(p).
4
Suppose -2*i = 8 - 0, h - i - 8 = 0. Let a(f) = -4*f - 4*f + 6*f + h - 5. Calculate a(3).
-7
Let z(s) be the first derivative of s**3/3 + 5*s**2/2 + s + 11. Calculate z(-2).
-5
Let c(h) = h**3 + 4*h**2 + h + 2. Let v be c(-4). Let g(i) = 1 + 2 + 1 - 3 + i. Let f(l) = 3*l + 4. Let y(m) = -2*f(m) + 7*g(m). Determine y(v).
-3
Let n(g) = -3*g - 12 - 6 + 34 - 9. Calculate n(6).
-11
Let g be (-6)/(-40)*(-195)/(-351). Let t(h) be the second derivative of 1/3*h**3 - g*h**4 - 3/2*h**2 + 4*h + 0. Determine t(2).
-3
Suppose -18*z + 18 = -21*z. Let d(l) = l**3 + 5*l**2 - 6*l - 1. What is d(z)?
-1
Suppose 3 - 5 = -u + y, 0 = -u + 5*y + 18. Let t(k) = -4*k**2 - 4*k - 2. Give t(u).
-10
Let l(k) = k + 1. Let w(f) = -f**2 - 7*f + 10. Let z be w(-7). Suppose -45 = z*o - 15*o. What is l(o)?
10
Let z(l) = -l**3 - 8*l**2 + 9*l - 8. Let t be z(-9). Let n(b) = 8*b + 58. Let k be n(t). Let o(w) = w**2 + 6*w. Calculate o(k).
0
Let a(p) = -p**3 - 9*p**2 + 8*p - 20. Let c be 252/(-15) + 7 - 1/5. What is a(c)?
0
Let y(u) = u**3 + u**2 - 8. Let t(b) = -b + 21. Let z(v) = 2*v - 3. Let h be z(12). Let j be t(h). Give y(j).
-8
Let s(b) = -9*b**2 + b**3 - 2*b**3 + 75*b - 3*b**3 - 85*b - 2 + 3*b**3. Calculate s(-8).
14
Let r(b) be the third derivative of 0*b**3 + 0*b - 1/120*b**5 - 1/72*b**6 - 1/24*b**4 + 0 + 3*b**2. Let h(x) be the second derivative of r(x). Calculate h(-1).
9
Let c be -6 + 476/77 - (-26)/(-22). Let u(v) = -23*v + 5. Let o(z) = 24*z - 6. Let t(x) = 4*o(x) + 5*u(x). What is t(c)?
20
Let l(m) be the second derivative of m**3/6 - 2*m**2 - 10*m. Let p(v) = 3*v - 11. Let r(y) = 11*l(y) - 4*p(y). Determine r(-6).
6
Let k(c) = -c**3 + 26*c**2 + 10*c - 266. Let u be k(26). Let i(h) = -10*h - 57. Give i(u).
3
Suppose 22*q + 8 = -3*i + 20*q, 3*i = -3*q - 9. Let y(l) = -9*l + 3. Calculate y(i).
21
Let j(k) = -2*k**2 - 2*k + 6. Let t(y) = -2*y**2 + 30*y + 104. Let w be t(18). Give j(w).
-18
Suppose 0 = -t - 4*t + 15. Let y(q) = 0*q**2 - t*q**3 - q**2 - q**2 + 1. Let d be (-12)/(-36)*(-2 + 5). Give y(d).
-4
Let k = -299 - -304. Let m(s) = -3*s**2 + 4*s**2 - 5 + 1 - 5*s. Let w be m(k). Let o(c) = c**3 + 5*c**2 + c - 5. Calculate o(w).
7
Let t(f) = -36 - 2*f + 23 - 2*f**3 - 10*f**2 + f**3. Give t(-10).
7
Let w(n) = 8*n**2 + 5. Suppose -19 = -5*o - 9. Let r(p) = -1. Let a(q) = 1. Let g(f) = o*a(f) + r(f). Let t(u) = 6*g(u) - w(u). Determine t(-1).
-7
Let x(y) = -171*y - 10 - 173*y + 523*y - 178*y. What is x(4)?
-6
Let j(v) = 4 + 6*v + 0*v**3 + 2*v**2 + 5*v**2 + v**3. Let b(s) = -4*s + 16 - s**3 - s + 7*s - 11*s**2. Let z be b(-11). Calculate j(z).
4
Let h(n) be the first derivative of -n**7/840 + n**6/60 + n**5/15 - n**4/4 + 28*n**3/3 - 37. Let p(d) be the third derivative of h(d). Determine p(7).
1
Let r(w) be the third derivative of w**4/6 - 3*w**3/2 + 85*w**2. Give r(3).
3
Let m(q) = -17*q**2 - 4*q + 12. Let r(s) = 38*s**2 + 7*s - 26. Let h(o) = 9*m(o) + 4*r(o). Give h(-8).
4
Let y = -88 + 97. Suppose -y*l - 31 - 50 = 0. Let p(q) = q**3 + 9*q**2 - 6. Determine p(l).
-6
Let n(h) = 23*h**2 - 8*h**2 - 16*h**2 + 3*h - 21*h - 15. Calculate n(-17).
2
Let j(h) = -5*h - 3 - 8 + 29 - 4 - 10 + h**2. Give j(5).
4
Let z(j) = -6*j - 4 - 3*j + 5*j. What is z(-3)?
8
Let u = 17691 + -17692. Let y(s) be the second derivative of s**5/10 - s**3/6 + s. Give y(u).
-1
Let f(c) be the third derivative of 1/60*c**5 + 0*c + 1/6*c**3 + c**2 - 1/12*c**4 + 0. Suppose 0 = -l + 2 - 1. Calculate f(l).
0
Let k(w) = 2*w**3 - w. Let f(r) = -2*r**2 + 2*r + 8. Let z be f(-2). Let g(x) = -9*x**3 - 5*x**2 + 5*x. Let b(y) = z*k(y) - g(y). Calculate b(-5).
5
Let v(j) be the first derivative of j - 15. Let g(b) = 10*b - 4. Let q(l) = -l + 1. Let p(h) = g(h) - q(h). Let n(r) = p(r) + 6*v(r). Give n(-1).
-10
Let m(b) = 1. Let s(k) = -k + 4. Let f(c) = -4*m(c) + 2*s(c). Let q be f(0). Let t(n) be the second derivative of -n**3/2 + 2*n**2 - 5*n. What is t(q)?
-8
Suppose -2 + 6 = 2*m. Let x(z) = z - 1. Let u(k) = 12*k - 9. Let p(t) = m*u(t) - 22*x(t). Calculate p(-3).
-2
Let c(s) be the second derivative of -s**7/840 + s**6/120 - s**5/120 - s**4/12 + 2*s**3/3 + 9*s. Let u(h) be the second derivative of c(h). Calculate u(2).
0
Let c(q) = q - 7. Let a(x) = -x**2 + 5*x. Let f be a(6). Let v be (-11)/f + (-4)/(-24). Suppose 7*k - v*k = 25. What is c(k)?
-2
Let x(n) = -2*n**2 + n - 1. Let w be ((-2)/6)/(156/(-36) - -4). What is x(w)?
-2
Let m(o) = o**3 - 16*o**2 + 15*o + 3. Let g be m(15). Let w(s) = -5 + 0 - 1 - g*s. Calculate w(-4).
6
Let j(d) = -5*d**2 - 13*d + 15. Let x(h) = -2*h**2 - 6*h + 7. Let y(i) = 3*j(i) - 7*x(i). Calculate y(5).
-14
Let f(m) = 7*m + 0 - 4*m + 4 + 1 - m**2. Calculate f(4).
1
Let d(r) = 23*r - 1 - 16*r - 2 - 9*r. Give d(-3).
3
Let o(i) be the second derivative of 1/2*i**2 - 1/2*i**3 - 3*i - 2. Calculate o(1).
-2
Suppose 4*r = 5*v - 135, r + 6*v + 38 = 3*v. Let o = r - -41. Let q(c) = c - 2. Calculate q(o).
4
Let a be -2 + 1 - 1/1. Let n(j) be the first derivative of 1/4*j**4 + j + j**3 - 2 + 0*j**2. Determine n(a).
5
Let n(d) be the second derivative of -d**4/6 + 5*d**3/6 + 3*d**2/2 - 426*d. What is n(5)?
-22
Let p(o) = o - 3. Let m be p(5). Let s(g) be the first derivative of 2*g**3/3 - g**2/2 - 47. Calculate s(m).
6
Let b(p) = -p**3 - 16*p**2 - 16*p - 9. Let k(g) = -g**3 - 9*g**2 - 5*g + 9. Let x be k(-8). What is b(x)?
6
Let l(i) = -13*i - 405. Let o be l(-31). Let k(d) = -2*d**3 - d**2 + 5*d + 5. Calculate k(o).
7
Let x(d) = d + 3. Let f(n) = 5*n - 8. Let a be f(5). Let g = a - 11. Determine x(g).
9
Let j = 22 - 16. Let a(q) = -8*q - 86. Let y be a(-12). Suppose 4*h - j = y. Let d(o) = o**2 - 4*o - 5. Determine d(h).
-5
Let c be (-300)/(-125)*(-10)/(-4). Let t(g) = -7 - 3*g**2 - g - 2*g**2 - 4*g + g**3. Calculate t(c).
-1
Let s(d) be the second derivative of -7*d**3/3 + d**2/2 + 3*d - 2. Calculate s(1).
-13
Let y(z) be the first derivative of -z**3/3 - 3*z**2 + z + 171. Calculate y(-4).
9
Let s(p) be the second derivative of 0 + 1/6*p**3 + 0*p**2 + 4*p. Determine s(-7).
-7
Suppose 2*v + 0*v = 4. Let o be 5 + (0 - 2)/v. Let x(s) = -39*s + s**3 - 1311*s**2 + 1306*s**2 + 41*s + 5. Determine x(o).
-3
Suppose -2*g - 2 = -12. Let j(t) = t**2 - 4*t - 1. Give j(g).
4
Let p(d) be the third derivative of -d**6/120 - 7*d**5/60 + 3*d**4/8 + 11*d**3/6 - 21*d**2. Suppose -69 = -4*k - 101. Calculate p(k).
3
Let a(i) = -3*i**2 - 7*i - 12. Let y(v) = 11*v**2 + 22*v + 37. Let n(f) = -7*a(f) - 2*y(f). Let u(c) = -c**2 - 6*c + 7. Let o be u(-6). Determine n(o).
-4
Let k(g) = 5*g - 3. Let z(y) = 14*y - 8. Let a(s) = 8*k(s) - 3*z(s). Let f = 77 - 75. What is a(f)?
-4
Let c(h) = -h**2 + 5*h + 6. Let a = -3 + 21. Let b be 122/a + 9/((-567)/(-14)). Determine c(b).
-8
Let r(l) be the second derivative of l**5/20 + l**4/4 - l**3/6 - 2*l**2 - 118*l + 2. What is r(-3)?
-1
Let f = 2 + 8. Let p(m) = -f*m**2 - 9*m + 4 - 9 + 2*m**2 + 0*m**2 - m**3. Determine p(-7).
9
Let j(c) = -3*c - 5*c + 0 + 2 + 5*c. Give j(5).
-13
Let j(u) = -u**2 - 18*u - 25. Let w(v) = -3*v - 110. Let n be w(-31). Determine j(n).
-8
Let v(f) = 2*f - 19. Let t(n) = n**2 + 27*n + 8. Let b be t(-27). Calculate v(b).
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
) - 2*h**2 + 7*h**5 + 2*h**2 + 2*h**2 - 2*h**5 - 2*h**2.
15*h**5
Expand (-u + 4 - 4)*(-3 + 0 + 1) - 11*u + 0 + 13*u - 2 + (-4 + 1 + 1)*(-2*u - 2 + 2).
8*u - 2
Expand -2*g**5 + g**3 - g**3 + 2*g**3 + g**5 - 2*g**3 + (-2*g + 7*g - 3*g)*(-1 + 1 - 2*g**4) + (288*g**2 - 288*g**2 + g**4)*(-1 + 1 - g).
-6*g**5
Expand (3 - 1 + 3)*(2 + 1 - 4)*(-5*z + 3*z - 2 - z).
15*z + 10
Expand -3*q + 3*q - 5*q + 0*q + q + 0*q + (-3*q + 2*q + 0*q)*(-2 + 1 + 3) + 2*q + 2*q - 5*q.
-7*q
Expand -o + o**3 + o + (2 - o**2 - 2)*(0 + 0 + 2*o) + (-o - 4 + 4)*(o - o - o**2) - 1 + 1 + 2*o**3.
2*o**3
Expand (3*c + 3*c - 4*c)*(-c**2 - 2*c + 2*c - c).
-2*c**3 - 2*c**2
Expand (66 - 131 + 68 - 23*i)*(-1 + 0 + 0).
23*i - 3
Expand (-1 + 2 + 1)*(m**3 + m**4 + m**3 + 1 - m**3).
2*m**4 + 2*m**3 + 2
Expand (-y + 0*y + 3*y)*(-2 + 2 + 1) - 2 + 2 + 2*y + 0*y + 3*y - 2*y.
5*y
Expand (1 - z**3 + 16*z + 1 - 13*z)*(0 + 0 + 1)*(-3 + 2 + 2).
-z**3 + 3*z + 2
Expand (4*c - 10 + 9 + 0*c)*(2 - 2*c - 2).
-8*c**2 + 2*c
Expand (12 + 8 + 7)*(-4 + 3 + 2*g - 3*g).
-27*g - 27
Expand (5 - 2 - 2)*(9 - 11 + 15)*(-1 + 1 + 2*o).
26*o
Expand (3*c**3 - 2*c**3 - 3*c**3)*(6 - 2 - 2) + (0 + 2 + 0)*(2*c**3 + 5 - 5) - c**3 + 2*c**3 - 4*c**3 + 2*c**3 - 5 + 5.
-c**3
Expand (-u**2 + u - u)*(15*u - 6 + 6).
-15*u**3
Expand (-1 - 1 + 4)*(b**5 - b**5 + b**5) + (5*b - 4*b + 4*b)*(b**4 - 2*b**4 - b**4).
-8*b**5
Expand -4*s**2 + 2*s**2 + 4*s**2 + 2*s**2 - 2*s**2 + 2*s**2 + (s - 6*s + 4*s)*(-1 + 1 - 2*s) + (0*s**2 + s**2 - 2*s**2)*(0 + 1 - 2).
7*s**2
Expand (v**2 + 0*v + v + 3*v)*(0*v**2 + v**2 + 0*v**2).
v**4 + 4*v**3
Expand (14 - 14 + 9*a)*(-3*a + 2*a + 3*a) - 2*a**2 - 3*a**2 + 7*a**2 - 2*a**2 + 2*a**2 + 2*a**2.
22*a**2
Expand (-5*b + 2 + 13*b + 12*b)*(-1 + 0 - 1).
-40*b - 4
Expand (-3*c + 15*c - 4*c)*(2*c**4 - 2*c**4 - 2*c**4) + 0*c**2 + 0*c**2 - c**5.
-17*c**5
Expand (-3*g**2 + 4*g**2 + 2*g**2)*(5*g - g - 2*g)*(-41 - 10 + 15)*(-1 - 3 + 2).
432*g**3
Expand (11 - l**4 - 5*l**4 + 2*l**4)*(0 - 4 + 3).
4*l**4 - 11
Expand (2*j + 9 - 9)*(0 + 4 - 1 - 4 + 2 + 0 + 1 - 2 + 0 + (0 + 4 - 2)*(1 + 1 - 4) + 3 + 0 - 1).
-4*j
Expand (-10 + 5 - 8)*(-d**4 + 0*d**4 - 5*d**4).
78*d**4
Expand -4*f + 4*f - 3*f**3 + (-f - 3*f + 0*f)*(3*f**2 + f**2 - 6*f**2) + 5*f**3 - 4*f**3 - 2*f**3.
4*f**3
Expand (-4*b**2 + b**2 + b**2)*(28 - 28 - 16*b**3 + (0*b - 2*b**2 + 0*b)*(-b + 0*b + 0*b)).
28*b**5
Expand (-60*h - 14*h + 9*h)*(3*h - 3*h - 2*h).
130*h**2
Expand (0*y**3 + 0*y**3 - y**4)*(2 - 3 + 4 - 2*y)*(7 - 2 - 2).
6*y**5 - 9*y**4
Expand (0*l**2 - 4*l**2 + 3*l**2)*(-30 + 4 - 12)*(0*l + 3*l - 2*l).
38*l**3
Expand (-2*j**3 + 5*j**3 - 2*j**3)*(-10*j - 4*j**2 + 10*j) + 4*j**5 + 4*j**5 - 5*j**5 + (4*j**3 + 0*j**3 - 6*j**3)*(j**2 + 1 - 1) - 2*j**5 + 2*j - 2*j.
-5*j**5
Expand (3 - 3 + 1)*(0 - 4 - 3)*(l - 3*l + 4*l).
-14*l
Expand (-3 + 3 - 2*s)*(0*s + 0*s + 2*s**2) + (0*s + 0*s - 2*s)*(s**2 - 4*s**2 + 2*s**2).
-2*s**3
Expand -5*f + 2*f + 4*f - f + f + 2*f - 3*f - f + 2*f + (5*f - 6*f + 2*f)*(1 - 4 + 5) - 4*f + f + 5*f - f + f - f - 6*f + 3*f + 2*f - 26*f + 65*f - 26*f.
16*f
Expand (0*b - 13*b - 2*b)*(-3*b - 4*b + 5*b).
30*b**2
Expand (3*v**2 + 4*v**2 - 5*v**2)*(-1 + 1 + 5)*(2*v**2 - 3*v + 3*v).
20*v**4
Expand (r**2 - 2*r**2 + 2*r**2)*(-4*r + r + 2*r) + 2*r**2 + 6*r**3 - 2*r**3 + 5*r - r**3.
2*r**3 + 2*r**2 + 5*r
Expand (0*w - 2*w - 2*w)*(0*w - 7*w + 3*w) - w**2 - 2 + 2.
15*w**2
Expand -j + 1 - 1 + (-10 + 4 - 5)*(2*j + 0 + 0).
-23*j
Expand (-2*y - 2*y + y)*(6 - 2 - 2).
-6*y
Expand (4 - 1 - 1 + (-2 - 1 + 4)*(-2 + 2 - 1) - 5 + 1 + 0)*(0*q**4 + 2*q**4 - 3*q**4).
3*q**4
Expand (3 - 2 + 1)*(0*j**2 - 7*j**2 - 2*j**2) + (6*j - 2*j - 3*j)*(3*j + 0*j - 4*j).
-19*j**2
Expand (43*h - 38*h + 26*h)*(0 + 0 + 1).
31*h
Expand (-m - m + m)*(30*m**3 - 3*m**3 - 2*m**3)*(-3*m - 3*m + 4*m).
50*m**5
Expand (6 - 6 + 4*z**3)*(-1 + 2*z + 1).
8*z**4
Expand (-x + 2 + 0 + 0*x)*(10*x + 2 - 2).
-10*x**2 + 20*x
Expand -11*t + 3*t**2 + 10*t + 0*t**2 + 2 - t**2 - 2 + (2*t - 1 + 1)*(5 - 2*t - 5) + 5*t**2 - 3*t**2 - t**2.
-t**2 - t
Expand (-9*p - 3*p + 3*p)*(2*p - p - 2*p)*(-2*p**3 + 2*p**3 - 2*p**3).
-18*p**5
Expand (-2*h + h**3 + 2*h)*(-3*h + 0*h + h)*(3*h - 6*h + h).
4*h**5
Expand (-m + 0*m + 2*m)*(0 - 1 + 2)*(-47 + 26 - 52).
-73*m
Expand -5*s + 5*s + 2*s**2 + (0 + 2 - 5)*(15*s**2 - 18*s**2 - 18*s**2).
65*s**2
Expand (q - 2*q**2 - q)*(q - q + 2*q**2) + (-4*q + q - 2*q)*(-2*q**3 - 2*q + 2*q).
6*q**4
Expand (-4*r**4 + 0*r**4 + 3*r**4)*(-983 + 983 + 11*r + 6*r).
-17*r**5
Expand (2*b**2 - 4*b**2 - 3*b**2)*(-6 + 6 + 8*b).
-40*b**3
Expand (i + 6*i - 3*i)*(-17*i**2 - i + 6*i**2 + 3*i).
-44*i**3 + 8*i**2
Expand (-8 - 536*m**2 + 1070*m**2 - 540*m**2)*(-m**2 - m**2 + m**2).
6*m**4 + 8*m**2
Expand l**4 + 2*l**4 + 0*l**4 + (3*l**3 - 7*l**3 - l**3)*(-l - 1 + l - 2*l).
13*l**4 + 5*l**3
Expand -3 + 3 + 2*v - 3 + 3 - 3*v + (1 - 3 + 3)*(2*v - 2*v - 2*v) - 6*v + 6*v - 3*v.
-6*v
Expand -z**4 - 2*z**4 + 0*z**4 + (4 - 4 - 2*z)*(5*z**3 - 4*z**3 + z**3).
-7*z**4
Expand -6*a**3 + 2*a**3 + 2 + 0*a**3 + 8*a**3 - 5*a**3 + a**3 + (a**2 - 4*a**2 + 4*a**2)*(a - 4*a + 4*a) + 1 - 1 + 2*a**3.
3*a**3 + 2
Expand g**2 + g**3 - g**2 + (g**2 - g**2 + 2*g**2)*(1 + 2*g - 1) + g**3 + g**3 - 4*g**3.
3*g**3
Expand (4 + 1 - 3)*(-2 + 3 - 4)*(-4*q + 3*q + 3*q).
-12*q
Expand (1 - 1 - t)*(-3 - 6 + 59).
-50*t
Expand (0 + i + 0)*(-4 + 4 + 1)*(2 - 2 + i).
i**2
Expand (-5 + 5 - 3*p**3)*(-1 + p + 4 - 2).
-3*p**4 - 3*p**3
Expand (-2*k - k + 2*k + k - 2*k + 0*k + (2*k + 0 + 0)*(-3 + 2 + 2) + 3 - 3 - 2*k - 5*k + 5*k + k)*(-2*k**2 - k**2 + 4*k**2) + 8*k**3 + 2*k**3 - 4*k**3.
5*k**3
Expand 0*b - 3*b + b + 3*b - 5*b + 3*b + (-1 + 2 - 3)*(b + 4 - 4) - 4*b - 2*b + 5*b + 0*b + 3*b - 5*b + 3*b - b - b + 0*b - 2*b + 4*b.
-3*b
Expand (3*l + 2*l - 4*l)*(4*l**2 - 2*l**2 + 3*l**2) + 0*l + 2*l**3 + l + 0*l.
7*l**3 + l
Expand (-1 + 0 - 1)*((-3 + 0 + 1)*(0 - 2 + 4) + 5 - 2 - 2 + 2 + 7 - 2)*(4*u - 3*u + u).
-16*u
Expand -3*g**2 + 3*g**2 + g**2 - 3 + g**2 + 3 + (-g + 1 - 1)*(-2*g - g + 2*g) + 4 - 9 + 3 + 5*g**2.
8*g**2 - 2
Expand (5 - 4 - 2)*(18*i - 23*i + 14*i) + 4*i - 5*i + 3*i.
-7*i
Expand (3*p + 8*p + 4*p)*(-2*p + 2*p + p**3) + 4*p**4 + 2*p**4 - 2*p**4.
19*p**4
Expand (-4 + 1 + 2)*(0*m + 3*m - 2*m + 2).
-m - 2
Expand (3*g - 8*g + 4*g)*(-3 + 4 + 3).
-4*g
Expand (0 - 1 + 3)*(1 - 1 + 5)*(-2*v + 4*v - 3*v).
-10*v
Expand (-1 - 1 + 4)*(0 + 0 + 2*p) + 1 - p - 1 - p - p + 0*p + (3 + 0 - 2)*(5 + 3*p - 5).
4*p
Expand (-3*l**3 + l**3 + l**3)*(-2*l**2 + 1 - 1) - 16*l + 3*l**4 + 16*l + 3*l**5.
5*l**5 + 3*l**4
Expand (2*d + d - d)*(-3 + 3 + 2*d) + (18 - 7*d - 18)*(-d + 4*d - d).
-10*d**2
Expand -3*w**4 - 15*w**4 - 10*w**4 - 2*w**3 + 2*w**3 + 2*w**4 + (-2*w**2 - 2*w**2 + 3*w**2)*(-2*w**2 + w**2 + 2*w**2) + 0*w**4 + 2*w**4 + 0*w**4.
-25*w**4
Expand (m + 0*m + 0*m)*(-1 - 5 + 7).
m
Expand (3*d**2 - 2*d**2 + d**2)*(-d**2 + 0*d + 0*d + (d + 2 - 2)*(2*d - 2 + 2) + 3*d**2 + 4*d**2 - d**2).
14*d**4
Expand 7*v**2 - 4*v**2 - v**2 - 3 + 3 + 2*v**2 + (-2*v + v + 2*v)*(v - 2*v + 2*v) - 71*v + 71*v + 9*v**2 + (4*v - 4*v + v**2)*(7 - 2 - 3).
16*v**2
Expand (-2*d - d + 0*d)*(2 - 3 - 3).
12*d
Expand ((-2*h**2 + 4*h**2 + 0*h**2)*(-2*h + h + 0*h) + (3*h**2 - h**2 - 4*h**2)*(0 + 17*h + 0))*(-h**2 - h + h).
36*h**5
Expand (1 - 1 - d**4)*(7 - 8*d - 7) + d**3 - d**3 - d**5 - 2*d**5 - 3*d**5 + 7*d**5.
9*d**5
Expand (-7*k**4 + 9*k**4 + 4*k**4)*(-2 + 1 + 2)*(-k + 0*k + 3*k).
12*k**5
Expand (2*n + 0*n - n)*(2 + 0 - 3) + 0*n - n - n - 2*n - 1 + 1 + 2*n + 1 + 4*n + 6*n.
7*n + 1
Expand (1 + 2*a - 1)*(-1 - 2 + 4 + (-3 + 3 - 3)*(-6 + 1 - 2)).
44*a
Expand (o**4 + 0*o + 0*o)*(-3*o + 3*o + 6*o - 1).
6*o**5 - o**4
Expand (-u**2 + u**2 + u**2)*(12*u - 45 + 45).
12*u**3
Expand 3*a - 31 + 16 + 38 + (0 - 1 + 0)*(3 - 3 + a).
2*a + 23
Expand (-4*v**2 + 3*v**2 + 3*v**2 + (-1 - 2 + 4)*(v**2 + 2 - 2) - 4*v**2 + 4*v**2 + 2*v**2)*(-v**2 + v**3 + v**2).
5*v**5
Expand -2*d**2 - 4*d**2 + 0*d**2 + (6*d - 4*d - d)*(0 - d + 0) - 13*d**2 + 2 - 2.
-20*d**2
Expand (2*g - 3 + 3)*(0 - 4 + 2) + 2*g - g + g + 47*g - 25*g - 6 - 23*g.
-3*g - 6
Expand (10 - 2 - 2)*(-5*z + 2*z + 5*z)*(2 - 2*z**2 - 2).
-24*z**3
Expand 1 + 2*g - 1 + 3*g + 0*g - 4*g + 5 + 2*g - 5 + (2 - 6 + 2)*(-4*g - 2*g + 4*g) + 4*g - 2*g + 0*g - 2*g + 4*g - 3*g + (1 - 1 - 1)*(3*g - 6*g + g).
10*g
Expand (-4*h + 2*h + 3*h)*(4 - 3 + 0) + (16 - 6 - 7)*(2*h - 2 + 2).
7*h
Expan
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*k(s) + p(s).
-2*s**2 + s + 150
Let k(v) = 2*v**3 - 2*v**2 + 10*v. Let p(r) be the third derivative of r**6/30 - r**5/12 + 5*r**4/6 - 445*r**2. What is -5*k(o) + 2*p(o)?
-2*o**3 - 10*o
Suppose -x = 1, f - 11*x = -15*x - 2. Let v(r) = -r**3 - r + 1. Let s(l) = l - 1. Determine f*v(a) + 2*s(a).
-2*a**3
Let x(f) = f + 2. Let u be 200/(-700)*-2*7/2. Let n(j) = 6*j + 11. Determine u*n(g) - 11*x(g).
g
Let a(s) be the third derivative of 18*s**2 - 5/6*s**3 + 0*s + 0*s**4 + 0 + 0*s**5 + 1/30*s**6. Let c(y) = 4*y**3 - 4. What is 4*a(k) - 5*c(k)?
-4*k**3
Let l(d) = -d + 2. Let j(h) = -41*h + 6. Calculate j(o) - 2*l(o).
-39*o + 2
Let r(j) = -3*j**3 + 3*j**2 - 17. Let o(d) be the second derivative of -d**5/20 + d**4/12 - 3*d**2 + 51*d. Calculate 11*o(z) - 4*r(z).
z**3 - z**2 + 2
Let v(s) = 2*s**3 + 12*s**2 + 13*s - 2. Let r(d) = 2*d**3 + 10*d**2 + 14*d - 2. Determine 6*r(q) - 5*v(q).
2*q**3 + 19*q - 2
Let t(h) = h + 3. Let p(r) = -1. Suppose -c - y = 7, 4*c + 49 = 5*y + 66. Calculate c*t(w) - 5*p(w).
-2*w - 1
Let z(t) = -t - 11. Let c(f) be the third derivative of -f**3 + 0*f - 1/24*f**4 + 0 + 16*f**2. Determine 5*c(h) - 3*z(h).
-2*h + 3
Let q = -153 - -154. Let i(c) = c**2 + 1. Let z(s) = s**2 - 1. Let b(u) = -7*u**2 + 8. Let d(t) = -b(t) - 6*z(t). What is q*d(m) + 2*i(m)?
3*m**2
Let m(b) = 8*b**2 + 7*b. Suppose -3*i - 5*t + 95 = 0, t - 4 = -3. Let p(n) = -n - 30 + i - n**2. Give 3*m(s) + 21*p(s).
3*s**2
Suppose 0 = y - 12 - 16. Let m(u) = u + 28. Let z(g) = -1. Let n(p) = -8. Let h(k) = 6*n(k) - 52*z(k). Give y*h(i) - 4*m(i).
-4*i
Let v(i) = i**3 - i**2 + 5*i + 7. Let j(x) = -3*x + x - 3 + 0. Suppose -22 = -4*b + 2. Suppose 4*o - b - 2 = 0. Give o*v(k) + 5*j(k).
2*k**3 - 2*k**2 - 1
Let w(l) be the second derivative of l**3/3 - 5*l**2 + 44*l. Let z(v) = -1. What is w(t) - 4*z(t)?
2*t - 6
Let h(i) = i**3 + 19*i**2 - 41*i + 27. Let d be h(-21). Let n = -27 + 26. Let q(o) = -o**2 + 6*o - 5. Let y(l) = l - 1. Calculate d*y(j) + n*q(j).
j**2 - 1
Let d(c) = -9*c - 9. Let q(i) = -i**3 + 19*i**2 + 7*i - 136. Let n be q(19). Let s(x) = -5*x - 5. Determine n*d(b) + 5*s(b).
2*b + 2
Let w(x) = x - 32. Let v(l) = l - 33. Calculate -5*v(n) + 6*w(n).
n - 27
Let x(p) = 5*p**3 + 27*p - 6. Let q(i) = -i**3 + 1. What is 6*q(s) + x(s)?
-s**3 + 27*s
Let d(g) = -77*g + 14. Let q(x) = 153*x - 32. Determine -7*d(u) - 3*q(u).
80*u - 2
Let k = 30 + -27. Let s(q) = 2 - 7*q**3 - 2*q - q**3 + 4*q**3 + 6*q**k. Let x(c) = c - 1. Calculate s(p) + 2*x(p).
2*p**3
Let o(n) = -2*n + 2. Let p(z) = 2. Let h(b) = -2*b - 34. Let u(l) = 2*h(l) + 36*p(l). Suppose 18*i - 665 = -77*i. Give i*o(c) - 3*u(c).
-2*c + 2
Let k(h) = 11*h + 7. Let b(j) = -5*j - 3. Let p(g) = -13*g + 53. Let o be p(3). What is o*b(a) + 6*k(a)?
-4*a
Let v(r) = -9*r**2 + 12*r - 15. Let m(x) = x**2 - 2*x - 1. Give 6*m(i) + v(i).
-3*i**2 - 21
Let l(d) = 21*d**2 + 13. Let n = 403 - 409. Let f(w) = w**2 + w + 1. Let v(j) = -j**2 + 4*j + 1. Let k(m) = 4*f(m) - v(m). What is n*l(q) + 26*k(q)?
4*q**2
Let q(w) = -226*w**2 + w. Let f(x) = 2253*x**2 - 9*x. Determine 2*f(g) + 21*q(g).
-240*g**2 + 3*g
Let p(o) = 11*o - 2. Let g(l) = -3*l + 43. Let t be g(14). Let s(d) = 0 - 662*d + 667*d - t. Calculate -4*p(b) + 9*s(b).
b - 1
Let k(c) = c**3 + 2*c**2 + 1. Let l(i) = -i**3 - 3*i**2. Give 4*k(o) + 3*l(o).
o**3 - o**2 + 4
Let v(o) be the second derivative of -5*o**4/6 - 8*o**3/3 - 7*o**2/2 - o. Let h be (-18)/(-3) + 9 + -17. Let y(g) = 3*g**2 + 5*g + 2. Determine h*v(r) - 7*y(r).
-r**2 - 3*r
Let a(g) = 3*g - g - g - 2*g. Let b be -13 + -3 + 1 + 3. Let r = -6 - b. Let t(x) = -5*x + 1. Give r*a(q) - t(q).
-q - 1
Let a(q) = q**3 + q - 1. Let z(r) = -12*r**3 + 17*r**2 + 2*r - 2. Determine 2*a(v) - z(v).
14*v**3 - 17*v**2
Let t = 3 + -5. Let i(p) = -p**2 + 2*p - 2. Let q(s) be the first derivative of -2*s**3/3 + 5*s**2/2 - 5*s + 54. Give t*q(f) + 5*i(f).
-f**2
Let m(p) = -3*p - 4*p - p - 1 + 2. Let x(f) = 8*f - 1. Give -5*m(u) - 4*x(u).
8*u - 1
Let h(c) = c**2 + 65*c + 7. Let r(m) = -m**2 - 33*m - 4. Give -4*h(w) - 7*r(w).
3*w**2 - 29*w
Let g(b) = 5*b**2 + 340*b + 4. Let d(k) = 14*k**2 + 1024*k + 11. Determine 4*d(m) - 11*g(m).
m**2 + 356*m
Let o(a) = 9*a**2 + 2*a + 10. Let c(y) = -y**2 - 1. What is 22*c(m) + 2*o(m)?
-4*m**2 + 4*m - 2
Let v be -4*(7/28 - (-6)/24). Let y(c) = -c**2 + 5*c. Let t(q) = -4*q - 6. Let h(f) = f + 1. Let l(n) = 6*h(n) + t(n). Determine v*y(k) + 5*l(k).
2*k**2
Let m(y) = -y**2 + y - 1. Let o(w) = 13*w**3 + 11*w**2 + 5*w + 11. Let l(v) = 2*m(v) + o(v). Let x(r) = -7*r**3 - 4*r**2 - 3*r - 4. Determine -4*l(f) - 9*x(f).
11*f**3 - f
Let z(i) = 73*i**2 - 3*i + 11. Let x(h) = -25*h**2 + h - 4. Determine 17*x(d) + 6*z(d).
13*d**2 - d - 2
Let k(q) = -4 + 25*q**2 + 28*q**2 - 6*q**3 - 49*q**2. Let c(l) be the first derivative of 3*l**4/2 - l**3 + 3*l + 1. Give -4*c(x) - 3*k(x).
-6*x**3
Let y(z) = -2*z**3 + z**2 + z - 2. Let t(w) = -26*w**3 - 4*w**2 - w + 8. Give -t(r) - 4*y(r).
34*r**3 - 3*r
Let y(a) = -369*a**2 + 3*a - 3. Let k(l) = l - 1. Calculate -3*k(i) + y(i).
-369*i**2
Let m(r) = -2*r**3 - 3*r**2 - 1. Let k = 3 - -1. Let u(x) = 1 - 2*x**3 + 2*x**3 + 2*x**2 + 2*x**3. Let d = 2497 + -2494. Determine d*m(y) + k*u(y).
2*y**3 - y**2 + 1
Let x(j) = 4*j**2 + 10*j - 3. Suppose -30 + 2 = -4*y. Suppose -19 + 7 = -3*g. Let f(s) = -g*s + s**2 - s + 2*s - 2*s**2 + 1. Calculate y*f(c) + 2*x(c).
c**2 - c + 1
Let d(h) = 8*h**2 - 2*h + 48. Let i(y) = -y**2 - 6. Give d(u) + 12*i(u).
-4*u**2 - 2*u - 24
Let z(o) = -o**2 - 1. Suppose -26 + 123 = 97*q. Let g(u) = -9*u**2 - u + 5. Give q*g(v) + 5*z(v).
-14*v**2 - v
Let v(u) = u**2 + 6*u + 2. Let k(a) = 2*a**2 + 11*a + 4. Let d = -508 + 504. What is d*k(j) + 7*v(j)?
-j**2 - 2*j - 2
Let n(z) = 7*z + 269. Let f(x) = 9*x + 270. Give 4*f(b) - 5*n(b).
b - 265
Let p(t) = -3*t**3 - 3*t**2 + 8*t. Let o(l) = 5*l**3 + 5*l**2 - 12*l. Calculate 5*o(s) + 8*p(s).
s**3 + s**2 + 4*s
Let u(y) = y**3 - 4*y**2 + y - 1. Let d(m) = m**3 - 7*m**2 + m - 2. Calculate 3*d(n) - 5*u(n).
-2*n**3 - n**2 - 2*n - 1
Let s(o) = 28*o**3 + 43*o - 8. Let c(f) = -10*f**3 - 14*f + 3. What is -8*c(k) - 3*s(k)?
-4*k**3 - 17*k
Let j(r) = -5*r**2 + 4*r. Let z(g) = g - 2*g + 0*g**2 + g**2. Suppose 0 = 3*w - 15, 0 = 2*k + 5*w - 6 - 3. Let c = -11 - k. Determine c*z(x) - j(x).
2*x**2 - x
Let r(k) = -37*k**3 + 7*k. Let d(m) = m. Calculate -5*d(q) + r(q).
-37*q**3 + 2*q
Let n(i) = 1. Let y(p) = 16*p + 16. Let t(d) = 2*d + 4. Let w(s) = -3*t(s) + y(s). Determine -2*n(k) + w(k).
10*k + 2
Let o(d) = d**2. Let c(h) be the first derivative of -3*h**3 - h**2 - 197. Determine c(b) + 4*o(b).
-5*b**2 - 2*b
Let d(t) = -7*t + 15. Suppose 2*i + i = 18. Suppose 0 = 3*x + 10 - 13. Let k(s) = -x - 1 + 2*s - 2. Give i*d(n) + 22*k(n).
2*n + 2
Let m(c) = -5*c + 5. Let h(w) = 1. Let v be 42/(-7) + -6 - -6. Give v*h(k) + m(k).
-5*k - 1
Let u(k) = 5 + 1 - 2 - k**3 + k**2 - 2*k - 3. Let g be u(1). Let o(c) = 4*c + 7. Let x(m) = -m - 1. Give g*o(b) - 6*x(b).
2*b - 1
Let s(c) = -2*c**3 + 3*c**2 - 3*c. Let x(w) = -w**2 - 2*w + 7. Let r be x(-3). Let a(m) = -m**3 + 3*m**2 - 3*m. What is r*a(q) - 3*s(q)?
2*q**3 + 3*q**2 - 3*q
Suppose 85 - 37 = 8*p. Let k(s) = 9*s**3 + 5*s**2 - s - 5. Let r(d) = 9*d**3 + 6*d**2 - d - 6. Give p*k(l) - 5*r(l).
9*l**3 - l
Let s(m) = -m + 1. Let u(t) be the second derivative of t**3/6 - t**2/2 + 32*t. Give -5*s(f) - 6*u(f).
-f + 1
Let w(u) = 4*u**3 + 5*u**2 - 13*u + 124. Let f(g) = g**3 + g**2 - 2*g + 1. What is -6*f(s) + w(s)?
-2*s**3 - s**2 - s + 118
Let h(s) = -1776*s**3 - 224*s**2 - 112*s + 336. Let q(m) = -48*m**3 - 6*m**2 - 3*m + 9. Determine -6*h(i) + 224*q(i).
-96*i**3
Let l(m) = 6*m + 7. Let y(w) = -5*w - 6. Suppose o - 43 = -65. Let i = o + 17. Calculate i*y(g) - 4*l(g).
g + 2
Let l(y) be the second derivative of y**2/2 + 100*y - 2. Let m(r) = -2*r + 7. Calculate -5*l(g) + m(g).
-2*g + 2
Let p(a) be the third derivative of 0 - 7/6*a**3 + 0*a - 27*a**2 + 5/12*a**4. Let h(u) = -29*u + 20. Calculate -6*h(g) - 17*p(g).
4*g - 1
Let n(o) = 2*o**2 - 3. Suppose -4*m + 20 = -2*m. Let y = -5 + m. Let t(l) = -7 + 4*l**2 - 25*l - 16*l + 40*l. Calculate y*n(i) - 2*t(i).
2*i**2 + 2*i - 1
Let r(q) = 2*q + 12 - 8 + 2*q + 0. Let i(m) = 4*m - 11 - 6*m - 4*m - 5*m. Calculate -3*i(l) - 8*r(l).
l + 1
Let r(c) = -7*c**3 - 11*c**2 - 3*c - 6. Let
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{
"pile_set_name": "DM Mathematics"
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Find the third derivative of -74*m**5 + 878*m**4 - 9*m**3 - 10234*m**2 - 4210*m wrt m.
-4440*m**2 + 21072*m - 54
Find the third derivative of h**4 - 60351089*h**3 + 169*h**2 + 43201*h wrt h.
24*h - 362106534
What is the third derivative of 43512914*v**3 - 71744347*v**2?
261077484
What is the second derivative of -346062169*u**5 - 1818*u - 32522?
-6921243380*u**3
Find the third derivative of 2877778*f**5 - 46941*f**2 + 284*f wrt f.
172666680*f**2
What is the derivative of 81*d**2*m**2 - 1621*d**2 - d*j - 9*j*m**2 + 2*j*m - 27*j + 2*m - 43 wrt d?
162*d*m**2 - 3242*d - j
Find the third derivative of -2604*l**5 + 994*l**3 + 17286731*l**2.
-156240*l**2 + 5964
What is the third derivative of 230449307*x**3 - 167203352*x**2 - 2*x?
1382695842
What is the second derivative of 2*k*q**4 - 379042*k*q**2 + 4*k*q - q - 276609 wrt q?
24*k*q**2 - 758084*k
What is the second derivative of 43448716*p**2*w**2 + 253121*p**2 + 41*p*w wrt w?
86897432*p**2
What is the second derivative of 347*k**2*r*s**3 - 3387*k**2*r*s + 2*k*r*s**2 - 1619289*k*s**3 - r*s**3 wrt k?
694*r*s**3 - 6774*r*s
Find the second derivative of -448713321*p**2*q**3 + 2*p*q**3 + 16328*p*q**2 - 8*p*q + 2*q**3 - 11 wrt p.
-897426642*q**3
What is the second derivative of -2151*v**4 + 256*v**2 + 2928947*v wrt v?
-25812*v**2 + 512
What is the third derivative of 5464620*j**3 - j**2 - 165*j - 2095?
32787720
Find the third derivative of -7649824*g**4 - 2*g**2 + 2185581*g - 2.
-183595776*g
Find the first derivative of -o**3*z + 3532791*o**3 - o**2*z - 14891*o*z + 39*z wrt z.
-o**3 - o**2 - 14891*o + 39
Differentiate -389725138*t - 37290694.
-389725138
What is the first derivative of 36931*d**3 - 2*d**2 + 414*d + 11604307?
110793*d**2 - 4*d + 414
What is the third derivative of -19035*d**3*z**2 + 2808*d**3*z - 6*d**2*z**2 - 2*d**2*z + 4460*d*z**2 + 26*d*z - d - 80*z**2 wrt d?
-114210*z**2 + 16848*z
Find the second derivative of -7228850*a**2*l**3*v - 776735*a*l**3 - 4*l**2*v wrt a.
-14457700*l**3*v
Find the first derivative of 48597021*b - 19550490.
48597021
Find the second derivative of 3410587*g*w**3 - 2*g*w**2 + 3*g*w - 4*g + 2*w**2 + 14764 wrt w.
20463522*g*w - 4*g + 4
Find the second derivative of 22*c**2*y**2 - 92866*c**2*y - 9225166*c*y**2 + c*y + 655*c - 2*y wrt y.
44*c**2 - 18450332*c
Find the second derivative of 1035771080*x**2 - 553067772*x wrt x.
2071542160
Find the second derivative of 4085187*c**3*m + 5*c**2*m - 4*c**2 + 7296*c - 12230*m wrt c.
24511122*c*m + 10*m - 8
What is the third derivative of 59123561*v**5 + 290214776*v**2?
3547413660*v**2
Differentiate 6*u*y**2 - 112114*u*y + 202853130*u + 2*y**2 + 43*y with respect to y.
12*u*y - 112114*u + 4*y + 43
Find the second derivative of -39853738*c**4 + 8*c - 431947.
-478244856*c**2
Differentiate -38368460*d + 15329504 with respect to d.
-38368460
Find the third derivative of -12921775*f*u**3 + f*u**2 - 5*f*u + 2*u**2 - 10*u - 1547 wrt u.
-77530650*f
What is the derivative of 319442503*o**2 - 1030033024?
638885006*o
What is the third derivative of -z**4 + 224323*z**3 + 476*z**2 - 7404*z wrt z?
-24*z + 1345938
Differentiate 120683652*p**2 + 48687056 with respect to p.
241367304*p
What is the first derivative of 5*b**2*d**2 - b*d**2 - 518361*b*d - 20428605*d**2 wrt b?
10*b*d**2 - d**2 - 518361*d
What is the third derivative of -3805331*m**3 - 12842169*m**2 wrt m?
-22831986
What is the derivative of -31*f**3 - 75*f**2 - 565*f + 21573903 wrt f?
-93*f**2 - 150*f - 565
Find the first derivative of -17858*l**3 - l**2 + 901*l + 15545061.
-53574*l**2 - 2*l + 901
What is the first derivative of -6*z**4 - 376*z**2 - 876*z - 289133066?
-24*z**3 - 752*z - 876
Find the second derivative of 13980630*j**3 - 3619965*j.
83883780*j
Find the second derivative of -8965*r**3*s**4 - 2*r**3*s + 468610*r**3 - r**2 + 29*s**4 wrt s.
-107580*r**3*s**2 + 348*s**2
Find the first derivative of -377670690*z - 413622141 wrt z.
-377670690
What is the third derivative of -2607628*b**6*f + 2*b**3*f**3 - 45757*b**2*f - 71*b*f**3 + f wrt b?
-312915360*b**3*f + 12*f**3
What is the third derivative of 61324*n**3*w + 255*n**3 + 5037*n**2*w - n*w + w + 1990 wrt n?
367944*w + 1530
Find the second derivative of 44*d**3*l**2 - 11608*d**3 - 300*d*l + d - 6*l**2 + 5*l - 3 wrt d.
264*d*l**2 - 69648*d
What is the third derivative of -365388*t**4 - 8*t**3 - t**2 + 584*t + 137?
-8769312*t - 48
What is the third derivative of 58701716*m**3 - 598722*m**2 + 152*m?
352210296
Find the third derivative of -2*t**4 - 316741243*t**3 + t**2 - 34461154*t - 3 wrt t.
-48*t - 1900447458
What is the second derivative of 15444541*j**3 - 153867798*j?
92667246*j
Find the third derivative of -769861*r**5 - 18*r**4 + 5*r**3 - 29*r**2 + 6296*r - 69 wrt r.
-46191660*r**2 - 432*r + 30
What is the second derivative of 9277778*i**5 - 30*i + 8431 wrt i?
185555560*i**3
Find the second derivative of 211723854*h**3 + 77877*h + 1489 wrt h.
1270343124*h
What is the second derivative of -1568158*p**2*t**2*v - 3*p**2*t*v - 2*p**2*t + 15*p**2*v**3 + 2*p*t**3*v**3 + 799*t*v**3 - t*v**2 + 2*t wrt t?
-3136316*p**2*v + 12*p*t*v**3
What is the first derivative of 5045*b*o**2 - 105*b*o + 647*b + 7*o**2 + 286961 wrt o?
10090*b*o - 105*b + 14*o
Differentiate 1806*x**2 + 929*x + 22334184 wrt x.
3612*x + 929
Find the third derivative of -275*m**5 + 14*m**4 - 1497*m**3 - 2*m**2 - 178371839 wrt m.
-16500*m**2 + 336*m - 8982
What is the second derivative of 865024*v**5 + 173*v**4 - 3161223*v wrt v?
17300480*v**3 + 2076*v**2
What is the derivative of 785*d**4 + 10963*d**2*j - 13*j + 1048881 wrt d?
3140*d**3 + 21926*d*j
Find the third derivative of -5*v**5 + v**4 + 388540*v**3 + 274625*v**2 - 156*v.
-300*v**2 + 24*v + 2331240
Find the second derivative of -11*j**3*y**2 - 72*j**3*y - j**3 + 172458*j*y**2 + 2*j*y + 6*y**2 - 3*y + 2954 wrt y.
-22*j**3 + 344916*j + 12
What is the second derivative of -5411649*v**3 - 6*v**2 - 555222653*v?
-32469894*v - 12
Differentiate 772319*c**2 + 89*c + 57212284.
1544638*c + 89
Find the third derivative of -38*h**6 - 36*h**5 - 390*h**3 - 365403*h**2 - 22*h.
-4560*h**3 - 2160*h**2 - 2340
What is the derivative of -144728404*c*n - 798*n + 60363 wrt c?
-144728404*n
What is the derivative of -6289*x**3 - 117*x**2 - 2*x - 4876663?
-18867*x**2 - 234*x - 2
Find the first derivative of 133104991*y - 36359693.
133104991
What is the first derivative of -80247292*j**2 - 16334407?
-160494584*j
Differentiate 3703447*s*w - 5345704*w - 2 with respect to s.
3703447*w
Find the third derivative of -3119698*j*w**5 - 2*j*w - 149*j + 14*w**6 - 545*w**2 wrt w.
-187181880*j*w**2 + 1680*w**3
What is the third derivative of -1877730*u**4 - 9*u**3 + 3*u**2 - 1040*u - 10724?
-45065520*u - 54
Find the first derivative of 306*g**3*q*x - 2*g**3*q - g**3 + 3*g**2*q + 89*g - 174*q*x**2 - x**2 - 18 wrt x.
306*g**3*q - 348*q*x - 2*x
What is the second derivative of -35682103*c**2*h**3 - c**2*h**2 + 2*c**2*h + 2*c**2 + 5*h - 43219 wrt h?
-214092618*c**2*h - 2*c**2
Differentiate 8057330*l*r**2 - 9455519*r**2 wrt l.
8057330*r**2
What is the second derivative of 1322*f*t**5 + 15921570*f*t - 2415*t**5 wrt t?
26440*f*t**3 - 48300*t**3
Find the third derivative of -119*w**4 + 42620*w**3 - 10416383*w**2.
-2856*w + 255720
What is the third derivative of 1096155115*m**3 - 2637*m**2 - 15*m + 4868 wrt m?
6576930690
Find the second derivative of 839471*o**4*w**2 - 74*o*w - 2*w**2 + 747*w wrt o.
10073652*o**2*w**2
What is the second derivative of -21*m**4 + 3925410*m**2 + 53345006*m?
-252*m**2 + 7850820
What is the second derivative of 6349*y**4 - 131*y**2 - 260*y + 241 wrt y?
76188*y**2 - 262
Differentiate 6*k**4 + 66*k**3 - 18*k**2 - 16*k + 3686928 with respect to k.
24*k**3 + 198*k**2 - 36*k - 16
What is the third derivative of 368234*m**4 - 162*m**3 + 5274*m**2 - 15*m + 196?
8837616*m - 972
Differentiate 4*n**2*p - n**2 - 91479*n*p - 150798*p + 5 with respect to n.
8*n*p - 2*n - 91479*p
What is the third derivative of 6*n**5 - 268966*n**4 + 2*n**3 - 21255111*n**2 wrt n?
360*n**2 - 6455184*n + 12
Find the first derivative of -245638*i**2 + 8*i + 6233743.
-491276*i + 8
Find the third derivative of 19342*m**5 - 3*m**4 - 118*m**3 - 103881965*m**2 - m.
1160520*m**2 - 72*m - 708
Find the second derivative of -51*d**3*m - 48313*d**3 - 2*d*m - d + 168
|
{
"pile_set_name": "DM Mathematics"
}
|
82 + 80.
-12*f
Collect the terms in 8*f + 2*f + 38833*f**2 - 38830*f**2.
3*f**2 + 10*f
Collect the terms in -21172*u + 42348*u - 170*u**2 - 21176*u.
-170*u**2
Collect the terms in 6 - 6 - 993*v - 1.
-993*v - 1
Collect the terms in -185*t - 21*t**2 - t**3 + 96*t - 28*t**2 + 89*t.
-t**3 - 49*t**2
Collect the terms in 247943 + 303*y - 858*y - 247943.
-555*y
Collect the terms in -4618*n**2 + 2666 - 2666.
-4618*n**2
Collect the terms in -155 + h - 146 - 141 + 435.
h - 7
Collect the terms in -87*v**2 - 78*v**2 + 309*v**2 - 73*v**2.
71*v**2
Collect the terms in -273*a + 0 + 0 + 97*a - 313*a.
-489*a
Collect the terms in -12*d**2 + 991092*d - 991092*d.
-12*d**2
Collect the terms in 467925*q**3 - 233947*q**3 - 233959*q**3 - 3*q**2.
19*q**3 - 3*q**2
Collect the terms in 0*v - 180*v**2 + 480*v**2 + 3*v - 82 - 2*v.
300*v**2 + v - 82
Collect the terms in -2650*f**3 + 5564*f**3 - 2916*f**3.
-2*f**3
Collect the terms in -4 - 2*d + 29 - 25.
-2*d
Collect the terms in -3*d + 54*d**2 - 112*d**2 + 58*d**2 + 6*d**3.
6*d**3 - 3*d
Collect the terms in -82*v + 2018*v**3 + 82*v.
2018*v**3
Collect the terms in -55*a**3 - 291*a**3 + 58*a**3.
-288*a**3
Collect the terms in 42*r**3 - 3334 - 16*r**3 - 11*r**3 + 3334 - 13*r**3.
2*r**3
Collect the terms in 1449*d**2 - 1449*d**2 + 243*d**3.
243*d**3
Collect the terms in 157 - f - 110 + 352 + 111.
-f + 510
Collect the terms in -3248*p**3 - 269 + 269.
-3248*p**3
Collect the terms in -27401*w - 3*w**3 + 22*w**2 + 27401*w.
-3*w**3 + 22*w**2
Collect the terms in -357310 + 6*u**3 - u**3 + 357310.
5*u**3
Collect the terms in -8*c**2 - 6*c**2 - 3*c**2 - 436*c**3 + 222*c**3 + 216*c**3.
2*c**3 - 17*c**2
Collect the terms in 1845 + o - 12*o**2 - 1845 - o.
-12*o**2
Collect the terms in -3 + 38*b + 4 + 74*b - 14*b.
98*b + 1
Collect the terms in 2739*s**2 - 5567*s**2 + 2829*s**2.
s**2
Collect the terms in -9*r**2 + 7*r**2 - 1379*r + 1391*r.
-2*r**2 + 12*r
Collect the terms in -2*l - 362*l**3 + 2*l - 6363*l**3.
-6725*l**3
Collect the terms in 192*c + 197*c - 970*c + 198*c + 193*c + 192*c.
2*c
Collect the terms in -1 + 105*s + 2 - 1 - 123*s.
-18*s
Collect the terms in 5 + 6 + 11720*u - 11719*u.
u + 11
Collect the terms in -3242*a + 7*a**2 + 1653*a + 1589*a.
7*a**2
Collect the terms in 9*k**2 - 1185*k + 563*k + 622*k.
9*k**2
Collect the terms in -56*o - 44*o - 8*o + 3*o.
-105*o
Collect the terms in 5755257*g**3 - 2877632*g**3 - 2877629*g**3.
-4*g**3
Collect the terms in -46*z**2 - 8*z - 45*z**2 + 88*z**2 - 3*z.
-3*z**2 - 11*z
Collect the terms in -5 - 12767*j**3 + 12768*j**3 + 5.
j**3
Collect the terms in -2 + 2 - 92*z**2 - 187*z**2 - 102*z**2.
-381*z**2
Collect the terms in -12898*i**3 - 12891*i**3 + 25794*i**3.
5*i**3
Collect the terms in -1614*x**2 - 1486*x**2 + 4717*x**2 - 1614*x**2.
3*x**2
Collect the terms in -5*l**2 + l**2 + 892*l + 5*l**2 - 892*l.
l**2
Collect the terms in -105 + 0*a**2 - 20*a**2 + 110.
-20*a**2 + 5
Collect the terms in 1679*f + 1620*f - 4920*f + 1619*f.
-2*f
Collect the terms in 0*u**2 + u**2 + 2*u**3 - 726 - 17*u**3.
-15*u**3 + u**2 - 726
Collect the terms in -408*q - 411*q + 1268*q - 449*q - 2*q**3.
-2*q**3
Collect the terms in 5208*k + 5280*k + 5275*k - 15764*k.
-k
Collect the terms in -39*y**3 + 8*y**3 - 161*y**2 + 252*y**2 - 91*y**2.
-31*y**3
Collect the terms in -5799*v - 1410*v + 921*v.
-6288*v
Collect the terms in -2331484 + 4662968 + 5*s - 2331484.
5*s
Collect the terms in 121*u**2 - 4303*u**2 - 275*u**2.
-4457*u**2
Collect the terms in -114243 - c**3 + 114243.
-c**3
Collect the terms in 3640*h**3 - 847*h**3 + 838*h**3.
3631*h**3
Collect the terms in 586*d**3 - 372*d**3 + 1272*d**3 + 970*d**3.
2456*d**3
Collect the terms in -22*l**2 + 2033 - 2033.
-22*l**2
Collect the terms in 137*m - 67*m + 22*m**2 - 70*m + 9*m**2.
31*m**2
Collect the terms in 3*q - 3*q - 2*q + 4*q + 147.
2*q + 147
Collect the terms in -55 - 25 + 4*a - 5*a + 34.
-a - 46
Collect the terms in 756*g + 4*g**2 + 5*g**2 - 756*g - 11*g**2.
-2*g**2
Collect the terms in -129*p + 1232*p - 1107*p.
-4*p
Collect the terms in 2877*v**2 - 11*v**3 - 71*v**3 - 2858*v**2.
-82*v**3 + 19*v**2
Collect the terms in 353*m**3 - 268*m**3 - 207*m**3.
-122*m**3
Collect the terms in -251*m + 322*m**2 + 251*m.
322*m**2
Collect the terms in 58*l**3 - 49550670 + 49550670.
58*l**3
Collect the terms in -x**3 - 1176*x + 3499*x - 1141*x - 1182*x.
-x**3
Collect the terms in -q + 1441*q**3 + 512*q**3 + 0*q.
1953*q**3 - q
Collect the terms in -9*s**2 + 182*s**2 - 278 + 141 + 137.
173*s**2
Collect the terms in 105*c - 105*c - 863*c**2 - 656*c**2.
-1519*c**2
Collect the terms in -83040656*q**2 - 1 + 1 + 83040662*q**2.
6*q**2
Collect the terms in 2*u - 3*u + 346 + 0*u.
-u + 346
Collect the terms in -b**2 - 4*b**2 + 2*b**2 - 31212*b**3.
-31212*b**3 - 3*b**2
Collect the terms in -1045*g + 340*g + 350*g + 357*g.
2*g
Collect the terms in -22*o + 37869*o**3 - 37878*o**3 + 22*o.
-9*o**3
Collect the terms in 135196 + 80*v**3 - 135196.
80*v**3
Collect the terms in 106 - 31*o**2 + 42 + 32*o**2.
o**2 + 148
Collect the terms in 5*u**3 - u**3 - 7*u**3 - 14*u**3 + 0 + 2.
-17*u**3 + 2
Collect the terms in 56 + 1240034*l**2 - 1240034*l**2 - 56 - 4*l**3.
-4*l**3
Collect the terms in 238*y + 6320 - 12646 + 6324.
238*y - 2
Collect the terms in -16*l**2 + 55*l**2 - 21*l**2 - 19*l**2.
-l**2
Collect the terms in -69*b + 447 - 79*b + 147*b.
-b + 447
Collect the terms in 131*y + 142*y - 34*y + 16*y.
255*y
Collect the terms in 6*a**2 - 10*a**2 - 47*a**3 - a**2 + 4*a**2.
-47*a**3 - a**2
Collect the terms in -8 - 9 + 23 - 70*d.
-70*d + 6
Collect the terms in 553*k + 550*k - 1673*k + 554*k.
-16*k
Collect the terms in 169 - 101*i + 176 - 345 + 37*i.
-64*i
Collect the terms in -k**2 + 265*k**3 - k**2 - 553*k**3 - 1923*k**3.
-2211*k**3 - 2*k**2
Collect the terms in -207*s**3 - 12693*s**3 - 983*s**3.
-13883*s**3
Collect the terms in -13098 - 541876316*d**3 + 541876315*d**3 + 13098.
-d**3
Collect the terms in -3 - 14*j - 11*j - 21*j + 49*j - 9*j.
-6*j - 3
Collect the terms in -w**3 - 3*w**3 + 5*w**3 + 0*w**3 + 610.
w**3 + 610
Collect the terms in 12*v**3 + 22*v - 40*v**3 - 13*v**3 - 22*v.
-41*v**3
Collect the terms in -905494*o + 1810993*o - 905497*o.
2*o
Collect the terms in 4*z + 2*z + 3*z + 13.
9*z + 13
Collect the terms in -1913*u**2 + 1871*u**2 + 29*u**2.
-13*u**2
Collect the terms in 10*h + 1 + 53*h + 25*h + 1.
88*h + 2
Collect the terms in 67*a - 139*a + 75*a + 17*a**2.
17*a**2 + 3*a
Collect the terms in 72168*u**2 - 144356*u**2 + 72189*u**2.
u**2
Collect the terms in -1352 + 2720 - 30*x - 1368.
-30*x
Collect the terms in 32*d**3 - 29*d**3 - 105 - 31.
3*d**3 - 136
Collect the terms in -446232 + 38*q + 446232.
38*q
Collect the terms in -7*a**2 + 1136*a + 2 - 1136*a - 2.
-7*a**2
Collect the terms in -1 - 5 + 1 + 7*j + 3*j - 2*j.
8*j - 5
Collect the terms in 2*q**2 + 4*q**2 + 4*q**2 - 4*q**2 - 19*q**2 + q**2.
-12*q**2
Collect the terms in -6*k**2 - 5 - 42 - 12 + 64.
-6*k**2 + 5
Collect the terms in 181*c**2 - 15*c**2 - 49*c**2 - 61*c**2 - 55*c**2.
c**2
Collect the terms in 7*p + 7*p + p + 2*p - 11*p.
6*p
Collect the terms in 416*y**3 + 4 - 186*y**3 - 4.
230*y**3
Collect the terms in 66748*v - 34*v**3 - 66748*v.
-34*v**3
Collect the terms in 64 - 28*k**3 - 38 - 13 - 13.
-28*k**3
Collect the terms in 54*d**2 - 237*d**2 + 64*d**2 + 65*d**2 + 67*d**2.
13*d**2
Collect the terms in -2270298*i + 2270298*i - 52*i**3.
-52*i**3
Collect the terms in 16 + 38*n - 21*n - 13 - 19*n.
-2*n + 3
Collect the terms in 655*a**3 - 49 + 49 + 18*a**2 - 656*a**3.
-a**3 + 18*a**2
Collect the terms in -2*q + 2*q - 416 + 1348 - 2*q**2 - 932.
-2*q**2
Collect the terms in -114*v**3 + 145*v**3 - 1456*v**3.
-1425*v**3
Collect the terms in -1200*n**3 + 4305*n**3 + 1709*n**3.
4814*n**3
Collect the terms in 838 + 0*z - z - z.
-2*z + 838
Collect the terms in d**3 + 29693*d + 29697*d - 59390*d.
d**3
Collect the terms in 15 + 347*a**2 - 8 - 7.
347*a**2
Collect the terms in 7*t - 12*t + 5*t - 844*t**2.
-844*t**2
Collect the terms in -2*l + 14*l**2 - 2*l**2 + 408*l**3 - l.
408*l**3 + 12*l**2 - 3*l
Collect the terms in 7953 + 1286 + 2*i + 63.
2*i + 9302
Collect the terms in 5354 + 4276 - 1946 - 3*m - 405.
-3*m + 7279
Collect the terms in -2 - 62238*w + 2*w**2 + 62238*w.
2*w**2 - 2
Collect the terms in 112*b - 353*b - 711*b.
-952*b
Collect the t
|
{
"pile_set_name": "DM Mathematics"
}
|
(4*(-4)/8)/2. Let d = 3/2 + p. Factor -2*o**2 + 3*o**3 - 2*o**4 + d*o + 1/2*o**5 + 0.
o*(o - 1)**4/2
Let m = 20 - 18. Suppose 5*a - 5*j = -10, -3*j - m + 8 = 5*a. Factor a + 4/5*i**3 + 2/5*i**2 + 0*i + 2/5*i**4.
2*i**2*(i + 1)**2/5
Find a, given that 5*a + 10/3 + 5/3*a**2 = 0.
-2, -1
Find n, given that -4/17*n + 6/17*n**2 + 0 = 0.
0, 2/3
Solve 0*h + 5/2*h**2 - 45/4*h**3 + 0 + 5*h**4 = 0.
0, 1/4, 2
Let x = 4 + -10. Let u be x/(-4)*32/24. Factor 0 + 1/4*i + 1/4*i**u.
i*(i + 1)/4
Let j = 217/65 - 7/13. Determine s so that -j*s**5 + 12/5*s**3 - 11/5*s**4 + 11/5*s**2 + 0 + 2/5*s = 0.
-1, -1/2, -2/7, 0, 1
Let i(r) be the first derivative of -r**6/3 - 16*r**5/5 - 25*r**4/2 - 76*r**3/3 - 28*r**2 - 16*r - 14. Factor i(y).
-2*(y + 1)**2*(y + 2)**3
Suppose -g - 14 = -4*a + g, -9 = -3*a + g. Let 30*h - 26*h**2 - a*h**4 - 8 + 12*h**3 - 11*h + 5*h = 0. Calculate h.
1, 2
Factor 9 + 3/2*x**2 - 15/2*x.
3*(x - 3)*(x - 2)/2
Let w(b) be the third derivative of -2*b**7/315 + b**5/15 - b**4/9 + 28*b**2. Factor w(q).
-4*q*(q - 1)**2*(q + 2)/3
Let u(b) be the third derivative of b**6/360 - b**5/60 + b**4/36 + 55*b**2 + b. Factor u(h).
h*(h - 2)*(h - 1)/3
Let s(j) be the second derivative of -j**7/840 + j**6/240 - j**4/4 - 7*j. Let t(u) be the third derivative of s(u). Factor t(w).
-3*w*(w - 1)
Let r = -129 + 131. Factor 0*x + 0 - 1/2*x**5 - 2*x**r + 3/2*x**4 + 0*x**3.
-x**2*(x - 2)**2*(x + 1)/2
Let u(n) be the first derivative of -5*n**4/4 - 8*n**3/3 - n**2/2 + 2*n - 15. Determine k, given that u(k) = 0.
-1, 2/5
Let q be (-26)/8 + 20/5. Let -3/4*f + 0 + q*f**3 + 0*f**2 = 0. Calculate f.
-1, 0, 1
Let p(t) be the third derivative of -t**8/6720 + t**7/2520 + t**4/6 + 4*t**2. Let j(f) be the second derivative of p(f). Factor j(x).
-x**2*(x - 1)
Let o = -13 - -10. Let c(s) = -3*s**4 + 15*s**3 - 36*s**2 + 39*s - 12. Let v(x) = -x**3 + x**2 + x. Let d(m) = o*v(m) + c(m). Factor d(u).
-3*(u - 2)**2*(u - 1)**2
Let r(a) be the second derivative of -a**7/56 + 3*a**6/20 - 9*a**5/20 + 5*a**4/8 - 3*a**3/8 + 9*a. Factor r(c).
-3*c*(c - 3)*(c - 1)**3/4
Let x = -30/11 + 984/385. Let u = 4/35 - x. Determine g so that -8/7 - u*g**2 - 8/7*g = 0.
-2
Factor 2/5*a**5 + 4/5*a**4 + 0*a**2 + 0*a + 0 + 2/5*a**3.
2*a**3*(a + 1)**2/5
Suppose 3*z = 3*n + 39, 5*z - 19 = n + 66. Let x = 21 - z. Let 0*u + 4/7*u**2 + 0 + 2/7*u**x = 0. What is u?
-2, 0
Let t(l) be the first derivative of -l**6/30 + l**5/10 - l**3/3 + l**2/2 + 2*l + 4. Let s(r) be the first derivative of t(r). Factor s(u).
-(u - 1)**3*(u + 1)
Let x = -3 + 4. Let u be x/(-4)*(-48)/18. Let 0 - u*j + 4*j**4 + 4*j**2 - 22/3*j**3 = 0. Calculate j.
0, 1/3, 1/2, 1
Find a, given that -2/13*a - 4/13*a**3 - 8/13*a**2 + 6/13*a**5 + 8/13*a**4 + 0 = 0.
-1, -1/3, 0, 1
Suppose -3*r - 5 = -2*c - 1, -4*r - 3*c + 6 = 0. Suppose -2*y - 19 + 29 = r. Determine h, given that 0*h + 11/3*h**4 - 8/3*h**3 + 0 - h**y - 4/3*h**2 = 0.
-1/3, 0, 2
Let j(n) be the third derivative of 8*n**6/3 - 4*n**5 + 5*n**4/2 - 5*n**3/6 + 5*n**2. Factor j(t).
5*(4*t - 1)**3
Suppose 0 = -5*o + 9 + 6. Suppose 0*n = -2*n. Factor -9/4*x**4 - 7/4*x**2 + 15/4*x**o + n + 1/4*x.
-x*(x - 1)*(3*x - 1)**2/4
Let h be -26*(-2)/(-60) - -1. Let c(p) be the third derivative of 2/75*p**5 + h*p**3 + 0*p - 1/12*p**4 + 2*p**2 + 0 - 1/300*p**6. Factor c(o).
-2*(o - 2)*(o - 1)**2/5
Let c(t) be the third derivative of -1/30*t**5 + 4*t**2 + 2/27*t**3 - 1/108*t**4 + 0 + 13/540*t**6 + 0*t - 1/189*t**7. Let c(z) = 0. What is z?
-2/5, 1
Determine p, given that 1/9*p**3 - 2/9*p**2 - 1/3*p + 0 = 0.
-1, 0, 3
Let c(v) be the third derivative of -v**8/336 + 4*v**7/105 - 11*v**6/60 + 7*v**5/15 - 17*v**4/24 + 2*v**3/3 - 23*v**2. Find o such that c(o) = 0.
1, 4
Solve 8/5*i + 1/5*i**2 + 16/5 = 0 for i.
-4
Let h(l) = -l**3 + l**2 - l + 1. Let j(c) = -16*c**3 + 20*c**2 - 12*c + 12. Let q(u) = 12*h(u) - j(u). What is s in q(s) = 0?
0, 2
Let w(k) be the second derivative of 6*k**6/5 - 42*k**5/5 + 52*k**4/3 - 44*k**3/3 + 6*k**2 - 5*k. Factor w(q).
4*(q - 3)*(q - 1)*(3*q - 1)**2
Let i(z) be the second derivative of z**4/18 + z**3/3 + 2*z**2/3 - z. Factor i(c).
2*(c + 1)*(c + 2)/3
Let k(n) be the second derivative of n**6/6 - 3*n**5/4 + 24*n. Factor k(d).
5*d**3*(d - 3)
Determine v, given that -32/3*v + 2/3*v**2 + 128/3 = 0.
8
Suppose -9 = -5*w + 1. Let l be (824/72 - 4) + -7. Suppose -4/9 + l*t**w - 2/3*t = 0. Calculate t.
-1/2, 2
Let o = -304/3 + 102. Let j(k) be the third derivative of 2*k**2 + 3/2*k**4 + o*k**3 + 0*k + 39/20*k**5 + 5/14*k**7 + 0 + 4/3*k**6. Factor j(n).
(n + 1)*(3*n + 1)*(5*n + 2)**2
Let q(r) be the second derivative of r**5/120 - r**3/12 + r**2/6 - 9*r. Factor q(t).
(t - 1)**2*(t + 2)/6
Let p(c) be the first derivative of -c**6/1080 - c**5/180 - c**4/72 + 4*c**3/3 - 2. Let v(h) be the third derivative of p(h). Suppose v(x) = 0. What is x?
-1
Let n be (1 + 1)/(4/6). Factor 0*c + 0 + 1/2*c**4 + 0*c**2 + 1/2*c**n.
c**3*(c + 1)/2
Factor 4/3*m + m**3 + 8/3 - 10/3*m**2.
(m - 2)**2*(3*m + 2)/3
Let j be 0/((-3)/(-6)*2). Let m be (-1 - 2/(-4))*j. Factor -1/3*x**2 + 0*x + m.
-x**2/3
Let t = -2 + 5. Let 7*j**2 + t - 10*j**2 - 19*j**2 - 18*j + 1 = 0. Calculate j.
-1, 2/11
Let w = -3 - -11. Let y = w + -6. Solve -15*s**2 + 7*s**y + 8*s**4 + 2*s - s**3 - 4*s**3 + 3*s**3 = 0.
-1, 0, 1/4, 1
Let z be ((-1)/10)/(9 + (-190)/20). What is i in z*i**4 + 0 - 2/5*i**3 + 1/5*i**2 + 0*i = 0?
0, 1
Suppose 0*c + 3*c = 0. Suppose -2*l + l + 10 = c. Find v, given that -5*v**5 - 4*v - 3*v**4 + l*v**2 - 7*v**4 + 18*v**3 - 9*v**5 = 0.
-1, 0, 2/7, 1
Let n = 25148/8775 - 1676/675. Let i = 2/117 + n. Factor 12/5*q**2 + i + 8/5*q**3 + 2/5*q**4 + 8/5*q.
2*(q + 1)**4/5
Let h = -24 - -36. Factor 0 - 1 - 12*k**3 - 3*k**4 + 1 - h*k**2.
-3*k**2*(k + 2)**2
Let -2/3 - 8/3*x**2 - 10/3*x = 0. What is x?
-1, -1/4
Factor 0 + 6*l - 6/5*l**2.
-6*l*(l - 5)/5
Let m(x) be the first derivative of -x**8/1176 - x**7/735 + x**2/2 + 1. Let k(r) be the second derivative of m(r). Determine u so that k(u) = 0.
-1, 0
Let k be 6/((-9)/(-3))*(1 + 0). Factor 1/2*j**3 + 1/2*j**5 + 3/2*j**k - 3/2*j**4 + 0 - j.
j*(j - 2)*(j - 1)**2*(j + 1)/2
Factor 0 - 2/3*u**2 - 2/3*u.
-2*u*(u + 1)/3
Let i(j) = 2*j**3 + 31*j**2 + 98*j - 3. Let s(q) = 2*q**3 + 32*q**2 + 98*q - 4. Let b(d) = 4*i(d) - 3*s(d). Find g such that b(g) = 0.
-7, 0
Let a(w) = -7*w**3 - 9*w**2 + 7*w. Let v be (2 - 21/6)*-6. Let b(h) = -3*h + 4*h**2 - 2 + 2 + 3*h**3. Let x(d) = v*b(d) + 4*a(d). Factor x(n).
-n*(n - 1)*(n + 1)
Suppose 0 - 6/7*d**2 + 2/7*d**3 + 2/7*d**5 - 4/7*d + 6/7*d**4 = 0. What is d?
-2, -1, 0, 1
Let x(d) = d**2 - 3*d + 1. Let g be x(2). Let j be 5/15 - g/(-3). Factor -2/5*c**4 + j*c - 2/5 + 4/5*c**2 + 0*c**3.
-2*(c - 1)**2*(c + 1)**2/5
Let f(g) be the third derivative of -g**7/175 + g**6/100 + 3*g**5/50 - g**4/4 + 2*g**3/5 - 18*g**2. Factor f(r).
-6*(r - 1)**3*(r + 2)/5
Solve -8 - 16*z**3 + 4*z**4 + 4*z**5 - 3*z**4 + 8*z**2 + 12*z - z**4 = 0.
-2, -1, 1
Let x(d) be the first derivative of d**7/2520 + d**4/6 - d + 2. Let m(p) be the first derivative of x(p). Let n(g) be the third derivative of m(g). Factor n(r).
r**2
Suppose 3*j = 5*b - 3 - 17, -b + 4 = 4*j. Let t(p) be the second derivative of 0 - p + j*p**2 - 1/10*p**5 - 1/3*p**4 - 1/3*p**3. Find a, given that t(a) = 0.
-1, 0
Let t(y) be the first derivative of y**5 - 5*y**4/2 + 5*y**3/3 + 12. Determine p, given that t(p) = 0.
0, 1
Let t(v) = -v**3 + 9*v**2 + 27*v + 19. Let z(b) = 2*b**3 - 28*b**2 - 80*b - 56. Let k(j) = -8*t(j) - 3*z(j). Factor k(q).
2*(q + 2)**3
Factor -201/2*q**3 + 171/2*q**2 - 36*q + 6 - 27/2*q**5 + 117/2*q**4.
-3*(q - 1)**3*(3*q - 2)**2/2
Let q(f) = f. Let u be q(5). Suppose u*b = 5 + 10. Factor 2 - 6 + 2*d + 4*d**2 + 3*d**3 - 5*d**b.
-2*(d - 2)*(d - 1)*(d + 1)
Let p(t) be the third derivative of 1/180*t**5 + 0 + 1/9*t**3 - 3*t**2 + 0*t - 1/24*t**4. Factor p(y).
(y - 2)*(y - 1)/3
Let m(z) be the second derivative of -3*z**5/40 - z**4/4 + 3*z**3/4 - 21*z. Let m(l) = 0. Calculate l.
-3, 0, 1
Let 2/5*x**3 + 6/5*x + 6/5*x**2 + 2/5 = 0. What is x?
-1
Solve -20*u**2 - 3*u**3 - 14*u**2 + 22*u**2 - 6 - 15*u = 0.
-2, -1
Let b(l) be the first derivative of -l**2/2 + 4. Let j(t) be the third derivative of -t**5/30 + t**4/6 - 2*t**2. Let w(g) = 2*b(g) + j(g). Solve w(k) = 0.
0, 1
Let z(q) be the third derivative of -2/15*q**3 +
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{
"pile_set_name": "DM Mathematics"
}
|
+ 4. Let z(d) = -7 + 6*d**3 + d**3 - 9*d + 2*d**3. What is p*z(m) - 7*v(m)?
-m**3 + m
Let p(h) = -6*h**2. Let o(a) = -a**2. Calculate -36*o(t) + 4*p(t).
12*t**2
Suppose -4*w + 19 = 3. Let l(s) = -2*s**3 + 2*s**2 - 3*s - 3. Let d(h) = 2*h**3 - 3*h**2 + 4*h + 4. Calculate w*l(b) + 3*d(b).
-2*b**3 - b**2
Let v(t) = t - 1 - t - t + 0. Let j(f) = -4*f - 4. Let h(y) = j(y) - 3*v(y). Let z(g) = -3*g - 4. Calculate 4*h(o) - z(o).
-o
Let m(d) = -1. Let v be 8/10*70/(-4). Suppose j = -4 + 6. Suppose -5*t = -8 - j. Let x(r) = -r**2 - 8. What is t*x(a) + v*m(a)?
-2*a**2 - 2
Let q = -14 - -17. Suppose -2*x + 5 - q = 0. Let l be (-6)/(-3) + 0/(-1). Let n(v) = 1. Let y(z) = z**3 - z**2. Determine l*y(p) + x*n(p).
2*p**3 - 2*p**2 + 1
Let q(z) = 6*z**3 - 7*z**2 + 4*z + 3. Suppose -2*g = -5 + 1. Let h(w) = 2*w**3 - 2*w**2 + w + 1. Let u be (-3)/3*10 + 3. What is g*q(m) + u*h(m)?
-2*m**3 + m - 1
Let s(o) = -2 + 4 - 1. Let h(u) = u - 5. Give h(v) + 4*s(v).
v - 1
Let j be (-3 + 13)/((-1)/(-1)). Let v(d) = d + 3. Let x(c) = -2*c - 7. Determine j*v(r) + 4*x(r).
2*r + 2
Let w(r) = -8*r**2 + 6*r - 4. Let m(y) = 9*y**2 - 8*y + 5. Determine 5*m(o) + 6*w(o).
-3*o**2 - 4*o + 1
Let c(t) = 9*t - 8. Let r(i) = -4*i + 4. Calculate 6*c(n) + 13*r(n).
2*n + 4
Let i(x) = 4 + 0 + 2*x**2 + x**2. Let p(z) = 4*z**2 + 5. Let f(v) = -6*v**3 + 2*v**2 + 2*v + 1. Let l be f(-1). Suppose 3*j + l + 8 = 0. Give j*i(o) + 4*p(o).
o**2
Let m(t) = 2*t**3 + 4*t**2 - 4*t + 1. Let d(q) = 2*q**3 + 3*q**2 - 3*q + 1. Calculate -4*d(s) + 3*m(s).
-2*s**3 - 1
Let v(f) = -27*f + 3 + 50*f + 0*f**2 + 5*f**2 - 24*f. Let c(z) = 4*z**2 - z + 2. Calculate -4*c(g) + 3*v(g).
-g**2 + g + 1
Let s(o) = -3*o**3 - o**3 + 2*o + 0*o**3 + 7*o**3. Suppose 3*g = 2 + 4. Let d(a) = a**3 + a**2 + a. Give g*d(n) - s(n).
-n**3 + 2*n**2
Let m(b) = b**2 + 4*b - 1. Let r be m(-2). Let q(k) = 7*k + 4. Let h(l) = 5 + 7*l + 0*l + 3*l - 2*l. Calculate r*h(u) + 6*q(u).
2*u - 1
Let y(p) = -p**2 - p. Let t(n) = 3*n**2 + 6*n + 8. Let m(o) = t(o) + 5*y(o). Let a(k) = 1. Determine 6*a(c) - m(c).
2*c**2 - c - 2
Let d(a) = 2*a**2 - 15*a - 2. Let n(x) = -x**2 - x. Give -d(i) - n(i).
-i**2 + 16*i + 2
Let l(f) be the first derivative of f**2/2 + f - 8. Let m = -4 - -1. Let b(r) = -2*r - 3. Calculate m*b(o) - 8*l(o).
-2*o + 1
Let v(a) = -2*a**2 + 4*a**3 - 7 + 13*a**2 - 4. Let u(f) = -f**3 - 3*f**2 + 3. Calculate -22*u(b) - 6*v(b).
-2*b**3
Let l(a) = a - 1. Let h(v) = 3*v + 4. Determine -h(n) - 4*l(n).
-7*n
Let w(g) = -g**3 + 2*g + 3. Let o(c) = -c**3 - 2*c**2 - c - 4. Let m be o(-3). Let l = m - 5. Let z(v) = 4 - 9 + 1 + 2*v**l - 3*v. Calculate 3*w(y) + 2*z(y).
y**3 + 1
Let i be (-4)/(-3) + (-4)/(-6). Let k(o) = o**3 - 1. Let w(n) = 3*n**3. Let b(s) = -s**3 + s - 1. Let m(g) = 2*b(g) + 2*w(g). Give i*k(j) - m(j).
-2*j**3 - 2*j
Let v(y) = -y - 10. Let a(t) = 12. Let n(h) = 2. Let d(r) = -2*a(r) + 11*n(r). Determine 11*d(f) - 2*v(f).
2*f - 2
Let q(o) = 395*o. Let y(p) = p. Calculate q(x) - 474*y(x).
-79*x
Let h(x) = 3*x**2 - 6*x - 3. Suppose -17 - 3 = -4*m. Let z(g) be the first derivative of -1/3*g**3 + 1/2*g**2 + g + 6. What is m*z(b) + h(b)?
-2*b**2 - b + 2
Let b(d) = -d + 1. Let h(z) = -2*z - 2. What is -2*b(m) - h(m)?
4*m
Let j(s) = -560*s**2. Let z(o) = 51*o**2. Give 6*j(b) + 65*z(b).
-45*b**2
Let s(j) = -j**2 - 12*j + 14. Let g be s(-13). Let o(h) = -h - 2. Let q(z) = 1. Give g*o(b) + 5*q(b).
-b + 3
Let a(r) be the second derivative of -r**3/6 - r**2/2 + 29*r. Let h(y) = 6*y + 6. Determine -4*a(g) - h(g).
-2*g - 2
Let k(u) be the first derivative of 51*u**2/2 - 21*u + 3. Let c(i) = 5*i - 2. Let j(r) = -22*r**2 - r. Let g be j(-1). Calculate g*c(x) + 2*k(x).
-3*x
Let r(k) = -2*k - 11. Let g(b) = -2*b - 11. What is -5*g(s) + 6*r(s)?
-2*s - 11
Let i(q) = 4*q - 6. Let s(y) = -5*y + 35. Let n be s(7). Let g(h) be the third derivative of n*h + h**2 + 7/6*h**3 + 0 - 5/24*h**4. What is 5*g(k) + 6*i(k)?
-k - 1
Let u = -68 - -72. Let l(c) = 2*c - 5. Let y(i) = 3*i - 6. Give u*y(g) - 5*l(g).
2*g + 1
Let g(z) = 8*z**2 + 5*z - 1. Let c be 4/((-40)/25)*(0 + 2). Let i(s) = 9*s**2 + 6*s - 1. Give c*i(w) + 6*g(w).
3*w**2 - 1
Let f(l) = 3*l + 4. Let w(x) = 6*x + 9. Calculate -7*f(j) + 3*w(j).
-3*j - 1
Let g(k) = -4*k. Suppose -w - 5 = 0, 5*i + 2*w = -0*w. Let o(r) = -r + 1. Determine i*o(z) - g(z).
2*z + 2
Let d(h) = 2*h**2 + 5*h + 2. Let t(y) = -3*y**2 - 6*y - 2. Let j(l) = -4*d(l) - 3*t(l). Let b(f) = -f**2 + 3*f + 3. Calculate -2*b(s) - 3*j(s).
-s**2
Let v(m) = -m**2 - m - 1. Let k(x) = x**3 - x - 2. Let r(d) = d**3 + 11*d**2 - 11*d + 13. Let l be r(-12). What is l*k(j) - 2*v(j)?
j**3 + 2*j**2 + j
Suppose 5*j - 16 = -i + 4, 2*i + 4 = j. Let g(c) = -c - 4*c + 1 + 2*c + j. Let d(r) = 2*r - 3. Give -8*d(h) - 5*g(h).
-h - 1
Let o(k) = -25*k + 2. Let h(i) = 126*i - 11. What is 2*h(q) + 11*o(q)?
-23*q
Let s(c) = 19*c**3 - 5*c**2. Let m(j) = 29*j**3 - 8*j**2. What is -5*m(l) + 8*s(l)?
7*l**3
Let y(d) be the second derivative of -7*d**3/6 - 3*d**2 + 9*d. Let g(z) = 6*z + 5. What is 5*g(i) + 4*y(i)?
2*i + 1
Let v(h) = h**2 + 5*h - 1. Let u be v(-4). Let m(w) = -2*w**2 - 4*w. Let n(y) = -2*y**2 - 3*y. Give u*m(p) + 6*n(p).
-2*p**2 + 2*p
Let j(l) = -3*l**2 + l + l**2 + 13*l + 6 - 4*l**2. Let n(m) = -2*m**2 + 5*m + 2. Determine -6*j(h) + 17*n(h).
2*h**2 + h - 2
Let g(p) = -9*p - 4. Let z(f) = 13 - 15 + 0 - 4*f. Give -3*g(w) + 7*z(w).
-w - 2
Let h(w) = -5*w**2 - 4*w - 4. Let r(k) = 4*k**2 + 3*k + 3. Give 2*h(j) + 3*r(j).
2*j**2 + j + 1
Let u(f) = f - 1. Suppose -7 + 2 = -o. Let q(d) = 6*d - 6. Determine o*u(z) - q(z).
-z + 1
Let g(a) = 2*a - 2. Let c(z) = -4*z + 5. Suppose -2*x - 4*p + 7 = -p, -3*x = -5*p + 37. Calculate x*c(i) - 9*g(i).
-2*i - 2
Let b(c) = -5*c - 2. Let d(n) be the third derivative of -n**4/12 - n**3/6 + 15*n**2. Give 4*b(k) - 9*d(k).
-2*k + 1
Let y = -9 + 5. Let p(w) = w**3 - w**2. Let o = -8 - -11. Let v(m) = m**o - 7*m**3 + 3*m**2 + m**2 - m. Calculate y*p(a) - v(a).
2*a**3 + a
Let l(z) be the third derivative of 11*z**4/24 - 5*z**3/6 + 2*z**2. Let o(j) = 4*j - 2. What is -3*l(g) + 8*o(g)?
-g - 1
Let z(m) = -92*m**3 + 5*m. Let v(i) = 6762*i**3 - 368*i. What is 5*v(n) + 368*z(n)?
-46*n**3
Let b(j) = -5*j**2 - 6*j. Let m(q) = -q - 3. Let t(v) = -3*v - 8. Let r(l) = 8*m(l) - 3*t(l). What is b(s) + 6*r(s)?
-5*s**2
Let c(r) be the third derivative of -r**5/60 - r**3/6 + r**2. Let d(b) = -b**2 + 3*b + 7. Let p be d(5). Let a(i) = -i**2 - 2. What is p*a(m) + 6*c(m)?
-3*m**2
Let w(l) = -3*l + 1. Let p(k) = -16*k + 4. Calculate -2*p(h) + 11*w(h).
-h + 3
Let g(s) = -5*s**2 + 2*s - 2. Let l(v) = 6*v**2 - 2*v + 2. Give -4*g(t) - 3*l(t).
2*t**2 - 2*t + 2
Suppose -3*v - 18 = -0*v. Let k = 8 + v. Let h be 2*3/k + 2. Let u(a) = 7*a**3 - 7*a - 3. Let o(f) = 8*f**3 - 8*f - 4. Determine h*o(g) - 6*u(g).
-2*g**3 + 2*g - 2
Let j(o) = 4*o**2 + 75. Let x(z) = -z**2 - 19. What is 2*j(a) + 9*x(a)?
-a**2 - 21
Let q(i) = 11*i**3 + 8*i**2. Let m(v) = 7*v**3 + 5*v**2. Let c be 19/4 + (-9)/(-36). Give c*q(o) - 8*m(o).
-o**3
Let d(l) = 4*l - 75. Let u(w) = -9*w + 151. What is -13*d(k) - 6*u(k)?
2*k + 69
Let g(p) = -p - 3. Let v be 15/(-1 - -6) + 2 + -3. Let l(n) be the first derivative of -3 - 2*n - 1/2*n**v. Calculate 4*g(r) - 5*l(r).
r - 2
Let r(z) = 31*z + 16. Let v(s) = -21*s - 11. What is 5*r(n) + 7*v(n)?
8*n + 3
Let q(j) = -7*j**2 - 15*j - 9. Let c(k) = -3*k**2 - 7*k - 4. What is -9*c(l) + 4*q(l)?
-l**2 + 3*l
Let w(b) = 5*b**2 + 10*b - 10. Let v(j) = -4*j**2 + 5*j - 5. Let m(f) = 2*f**2 - 3*f + 3. Let x(r) = 11*m(r) + 6*v(r). Determine 3*w(d) + 10*x(d).
-5*d**2
Suppose -11*j = -4*j + 28. Let s(l) = -4*l + 7 + 4*l - 3*l. Let q(u) = -u + 3. What is j*s(y) + 10*q(y)?
2*y + 2
Let u(y) = 2*y**2 - 5*y. Suppose 6*p + 23 = 53. Let k(h) = h**2 - 3*h. Give p*k(m) - 3*u(m).
-m**2
Let t(z) be the first derivative of -4*z**2 - 4*z - 8. Let c(w) = -w. Determine -10*c(y) + t(y).
2*y - 4
Let r(j) = -5*j. Let t(m) = m. Calculate r(d) + 10*t(d).
5*d
Let n(z) = -z - 3. Suppose -4*f - 14 = -2. Let k(h) = -2. Calculate f*k(b) + 2*n(b).
-2*b
Suppose x - 6 = -16. Let v be ((-4)/(-10))/(1/x). Let k(j) = -16*j**2 - 11*j. Let s(b) = 3*b**2 + 2*b. Give v*k(l) - 22*s(l).
-2*l**2
Let f = -5 - -8. Let j(n) = -3*n**3 + 3*n**2 + 2*n. Let d(p) = -4*p**3 + 4*p**2 + 3*p. Calculate f*j(v) - 2*d(v).
-v**
|
{
"pile_set_name": "DM Mathematics"
}
|
) = 7*x**3 - 11*x**2 - 17*x - 5. Determine 5*b(h) - 3*d(h).
-h**3 + 3*h**2 + 6*h
Let r(g) = -5*g**2 + g - 5. Let z(f) = -9*f**2 + 123*f - 12. Calculate 2*r(s) - z(s).
-s**2 - 121*s + 2
Let w(u) = 379*u**2 - 10*u - 28. Let r(v) = 126*v**2 - 4*v - 10. What is -8*r(z) + 3*w(z)?
129*z**2 + 2*z - 4
Let f = 478 + -474. Let m(j) = -5*j - 13. Let q(w) = w + 1. Calculate f*q(t) + m(t).
-t - 9
Let h(x) = -69*x**3 + 11*x**2. Let c(y) = y**3 + y**2 + y + 1. Let u(q) = -24*q**3 - 8*q**2 - 10*q - 10. Let z(f) = 10*c(f) + u(f). Determine 2*h(r) - 11*z(r).
16*r**3
Let a(p) = 21*p**2 - 14*p - 7. Let c(l) = 36*l**2 - 27*l - 13. Determine -5*a(s) + 3*c(s).
3*s**2 - 11*s - 4
Let k(j) = -3*j**2 - 4*j - 5. Let r be 28/13 - (264/26 - 10). Let m(w) = 0*w + 4 + 3*w + 66*w**r - 63*w**2. Give 2*k(a) + 3*m(a).
3*a**2 + a + 2
Let y(d) = 7*d**2 + 3*d + 2. Let n(u) = -11*u**2 - 5*u - 3. Let o be 288/(-32) - (2 + -6). What is o*n(p) - 8*y(p)?
-p**2 + p - 1
Let t(q) = 10*q**2 + 4*q + 6. Let v(x) = 2*x**3 - 4*x**2 - x + 5. Let p be v(1). Let h(k) = -3*k**2 - 8 - k - p + 11 - 3. Calculate -14*h(u) - 4*t(u).
2*u**2 - 2*u + 4
Let h(n) = 4*n**3 - 7*n**2 + 123*n + 8. Let b(c) = -c**3 - c**2 - 21*c - 1. Determine -6*b(g) - h(g).
2*g**3 + 13*g**2 + 3*g - 2
Let y(q) = -12*q**3 + q**2 - 6. Suppose 508*a - 512*a = -20, 2*f + 4*a - 6 = 0. Let z(d) = -12*d**3 + d**2 - 7. Determine f*y(l) + 6*z(l).
12*l**3 - l**2
Let o = 506 - 507. Let q(a) be the first derivative of a + 1. Let y(b) = -2*b - 7. Give o*y(z) - 6*q(z).
2*z + 1
Let a(f) = -2*f - 2. Let j(p) = -1312*p + 8. What is 5*a(h) + j(h)?
-1322*h - 2
Let o(p) = -4*p**3 + 15*p**2 - 122*p + 7. Let k(u) = u**3 - 3*u**2 - 2*u - 1. What is -5*k(d) - o(d)?
-d**3 + 132*d - 2
Let v(b) = 13*b**2 + 5*b - 10. Let l(m) = 7*m**2 + 3*m - 5. Suppose 95 = -1465*p + 1446*p. Calculate p*l(o) + 3*v(o).
4*o**2 - 5
Let v(f) = -f**2 + 2. Let d(q) = -21*q**2 + 272*q + 17. What is d(c) - 9*v(c)?
-12*c**2 + 272*c - 1
Let i(j) = -22*j**2 + 8*j - 4. Let o(f) = 21*f**2 - 7*f + 5. Calculate 4*i(y) + 3*o(y).
-25*y**2 + 11*y - 1
Let y(x) = -3*x**2 - 6. Let p(j) = 14*j**2 - 9*j + 4. Let a = 234 + -243. Let q(u) = -3*u**2 + 2*u - 1. Let z(t) = a*q(t) - 2*p(t). What is -y(d) - 6*z(d)?
9*d**2
Let u(x) = -11*x**2 + x + 1. Let l(b) = 14*b**2 - 3*b + 376. Calculate -l(i) - 2*u(i).
8*i**2 + i - 378
Let g(c) = -c + 4. Let q(n) = -7*n**2 + 69*n - 110. Let s be q(8). Let k(p) = -p + 4. Determine s*k(t) + 7*g(t).
-t + 4
Let r(q) be the first derivative of -q**2/2 - 2*q + 25118. Let s(l) = 13 - 3 + 5*l + 1. Let j be (-32)/14 - (-2)/7. Determine j*s(h) - 11*r(h).
h
Let l(x) = 11*x**3 + x**2 - x - 1. Let b(h) = -10679*h**3 - 2*h**2 + 2*h + 2. Calculate b(s) + 2*l(s).
-10657*s**3
Let u = 534 - 540. Let p(x) = -x**2 - x - 1. Let c(y) be the first derivative of -4*y**3/3 - 4*y**2 - 7*y - 12. What is u*p(d) + c(d)?
2*d**2 - 2*d - 1
Let j(v) = 24*v**3 + v**2 - 11. Let u(x) = -x**2 + 101*x - 296. Let l be u(3). Let z(g) = -5*g**3 + 2. Determine l*j(n) - 11*z(n).
7*n**3 - 2*n**2
Let k(o) = -39*o**2 - 5*o - 14. Let d(n) = -9*n**2 - n - 1. Determine 4*d(a) - k(a).
3*a**2 + a + 10
Let p(d) = -44*d - 11. Suppose -3*z + 9 = b - 4*z, 2*z = -4*b - 6. Let v(a) = -9*a - 2. What is b*p(c) - 11*v(c)?
11*c
Let a(f) = 17*f**3 - 7*f**2 + 7*f + 11. Let s = -4273 - -4276. Let o = -4 - -11. Let r(x) = -8*x**3 + 3*x**2 - 3*x - 5. Calculate o*r(k) + s*a(k).
-5*k**3 - 2
Let v(l) = -140*l**2 - 350*l. Let g(n) = -11*n**2. Calculate -13*g(b) + v(b).
3*b**2 - 350*b
Let c(q) = 46*q**2 - 14*q - 1389. Let y(j) = 16*j**2 - 5*j - 464. What is -3*c(b) + 8*y(b)?
-10*b**2 + 2*b + 455
Let p(d) = 4*d**3 + 6*d**2 + 198*d + 1. Let f(s) = -13*s**3 - 20*s**2 - 595*s - 5. Determine -2*f(k) - 7*p(k).
-2*k**3 - 2*k**2 - 196*k + 3
Let i(n) = 2*n**3 - 6*n - 1. Let z(g) = 21097*g**3 + 12*g + 2. What is 2*i(j) + z(j)?
21101*j**3
Let c(a) = 2*a**3 + 425*a**2 + 15*a - 4. Let o(f) = f**3 + 211*f**2 + 6*f - 2. Calculate 2*c(i) - 5*o(i).
-i**3 - 205*i**2 + 2
Suppose 469 = -2*m + 471. Let s(q) = -8*q + 4. Let f(v) be the third derivative of v**4/24 - v**3/6 + 4*v**2. What is m*s(w) + 5*f(w)?
-3*w - 1
Let w(m) = -3*m + 2. Let i(a) = -6*a + 4. Let s be 14/6 + (-1)/3. Suppose 2*f = 2*h - 18, -67*h + 63*h = -2*f - 26. Suppose s*l + h = 3*l. Give l*i(v) - 9*w(v).
3*v - 2
Let y(p) = 25*p - 90. Let x(t) = -29*t + 91. Calculate -10*x(a) - 11*y(a).
15*a + 80
Let z(w) = -w**3 - 5*w**2 - 3*w + 1. Let t(d) be the second derivative of d**5/10 + 2*d**4/3 + 5*d**3/6 - d**2 + 18*d + 261. Determine 5*t(i) + 8*z(i).
2*i**3 + i - 2
Let o(r) = 7*r**3 + 23*r**2 + 2. Let q(b) = 5*b**3 + 17*b**2 + 3. Let v(f) = 2*o(f) - 3*q(f). Let g(m) = m**3 + m**2 + 1. Calculate 5*g(l) + v(l).
4*l**3
Let t(l) be the first derivative of 0 + 7 + 2*l**2 + 199*l**3 + 6*l + 5 - 198*l**3. Let x(n) = 4*n**2 + 5*n + 6. What is 3*t(c) - 2*x(c)?
c**2 + 2*c + 6
Let d(u) = 6*u**3 + 3*u**2 + 3*u + 2. Let p(n) = -5*n**2 + 4*n**3 - 11*n - 5 + 1 + 6*n - 15*n**3. Suppose -36 - 12 = -16*m. Give m*p(l) + 5*d(l).
-3*l**3 - 2
Let y(g) = -3*g + 5. Let b = 3733 + -3742. Let d(r) = -13*r + 21. What is b*y(x) + 2*d(x)?
x - 3
Suppose 101 = -5*k - 119. Let q(c) = c**2 + 1. Let i(v) be the first derivative of 8*v**3 + 22*v - 1743. Give k*q(j) + 2*i(j).
4*j**2
Let v(y) = 220*y - 297. Let l(k) = -295*k + 296. Calculate -3*l(h) - 4*v(h).
5*h + 300
Let w = 12 + -18. Let o(u) = -17 - 12 - 18 + 54 - 17 + 56*u - 58*u. Let l(f) = -1. Let n(s) = -s**3 - 6*s**2 - s - 5. Let j be n(-6). Calculate j*o(r) + w*l(r).
-2*r - 4
Let h = -12091 + 12092. Let r(y) = 1. Let d(m) = -4 - 2 + 3. Let x(f) = -d(f) - 2*r(f). Let j(z) = -z - 8. Give h*j(l) + 6*x(l).
-l - 2
Let a(x) = -2*x**2 + 205*x + 1 - 213*x + 3*x**3 + 0*x**2 - 2*x**2 + 2. Let t(u) = -4*u**3 + 5*u**2 + 8*u - 4. Calculate -5*a(z) - 4*t(z).
z**3 + 8*z + 1
Let c(q) = 11. Let h(j) = 1062*j + 19. Give -2*c(b) + h(b).
1062*b - 3
Let j(h) be the first derivative of 7*h**3 + h**2 + 927. Let i(w) = -62*w**2 - 7*w. Calculate 2*i(q) + 7*j(q).
23*q**2
Suppose -15 = -99*f + 94*f. Suppose 6*l - f*l = -12. Let y(c) = c**2 - 4*c. Let b(x) be the second derivative of -5*x**3/6 + 4*x. What is l*b(t) + 5*y(t)?
5*t**2
Let w(i) = -i**2 - 25*i + 33. Let g be w(-26). Let q(u) = -46 + 36 - g*u + 6. Let d(a) = 4*a + 2. What is -11*d(f) - 6*q(f)?
-2*f + 2
Let t(v) be the second derivative of -2*v**3/3 + v**2 - 20*v. Let j(c) = -61*c + 31*c + 37*c + c**2 - 3. Give -4*j(a) - 7*t(a).
-4*a**2 - 2
Let d(x) = -115*x**2 + 8*x + 16. Let y(t) = -229*t**2 + 14*t + 30. Give -7*d(j) + 4*y(j).
-111*j**2 + 8
Let b(m) = -m**2 + m - 1. Let o(x) = 14*x**2 - 6*x + 10. Let z(d) = -2*d**3 - 2*d**2 - 455*d - 454. Let h be z(-1). Give h*o(l) + 8*b(l).
6*l**2 + 2*l + 2
Suppose 6 = 9*w - 21. Suppose 44 = -w*o - 8*o. Let d(q) = -q**3 - 1. Let u(m) = 2*m**3 + 2*m**2 - m + 4. Calculate o*d(z) - u(z).
2*z**3 - 2*z**2 + z
Let x(v) = -v**2. Let b(o) = 2*o**2 - 6*o - 1. Let q be -15 + (-112)/(-7) - 2. What is q*b(y) - 4*x(y)?
2*y**2 + 6*y + 1
Let i(o) = -2*o - 12. Let p be 4 + (-11 - (-10 + 8)). Let w(x) = -3*x - 18. Calculate p*w(c) + 8*i(c).
-c - 6
Let y(u) = 2*u**3 - 4*u**2. Let j(t) = -t**3 + 5*t**2 + 3*t + 19. Suppose 0 = -7*s + 3*s + 24. Let m be j(s). Let c(g) = -g**2. Calculate m*y(f) - 4*c(f).
2*f**3
Suppose 3*k - 42 = 3*y, 76*k - 5*y = 72*k + 64. Let n(v) = 7*v**3 - 6*v**2 + 6*v - 12. Let z(x) = 6*x**3 - 5*x**2 + 5*x - 11. Determine k*z(d) - 5*n(d).
d**3 - 6
Let q(i) = -9*i - 6*i + 21*i - 11 - 17*i. Let u = -90 - -84. Let m(o) = 5*o + 5. Determine u*q(a) - 13*m(a).
a + 1
Let s(x) = 12*x + 440. Let b(g) = 14*g + 426. Determine 5*b(d) - 6*s(d).
-2*d - 510
Let k(n) = -3*n - 1. Let z(c) = -7*c - 2. Suppose 78*l = 43*l - 140. Determine l*z(t) + 9*k(t).
t - 1
Let d = 502 + -500. Let i(r) = -113*r**d + 5*r + 118*r**2 + 5 + 1. Let o(n) = -4*n**2 - 4*n - 5. Give 5*i(y) + 6*o(y).
y**2 + y
Let y(x) = -x**3 - 23*x**2 - 6*x + 44. Let z be y(-23). Let r = -179 + z. Let k(h) = h**2 - h + 1. Let j(s) = 2*s**2 - 3*s + 3. Give r*k(w) - j(w).
w**2
Let v = -51 - -52. Let u be (-25)/15*(-2 - v). Suppose -4*c = -3*c - u. Let k(x) = -x**2 - 3*x - 2. Let y(q) = -3*q**2 - 7*q - 4. Calculate c*k(t) - 2*y(t).
t**2 - t - 2
Let v(h) = -3*h**3 - 4*h**2 + 2*h. Let l(m) = -m**2. Let k(q) = -q + 125. Let j be k(129). Determine j*l(w) +
|
{
"pile_set_name": "DM Mathematics"
}
|
3*(w - 1)**2*(w + 3)
What is d in 4/5*d**2 - 12*d - 64/5 = 0?
-1, 16
Let t be 4*-1*4*(-45)/432. Find a such that -1/3*a**5 + 2*a**2 + 0*a + t*a**3 + 0 - 2/3*a**4 = 0.
-3, -1, 0, 2
Suppose -5*k + 2*u + 48 = 0, 0 = 3*k - 2*u - u - 27. Factor -3*y**3 - 2*y**3 + k*y**3 + 4*y - 9*y**3.
-4*y*(y - 1)*(y + 1)
Let d(z) be the third derivative of 9/100*z**5 + 0*z**3 + 0 + 0*z + 12*z**2 + 3/560*z**8 - 9/200*z**6 - 1/350*z**7 - 1/20*z**4. Suppose d(v) = 0. What is v?
-2, 0, 1/3, 1
Let g(t) be the second derivative of -t**6/105 - 3*t**5/70 + 3*t - 15. Solve g(p) = 0.
-3, 0
Suppose 3*q + 4*x = 2*x - 79, 3*q + 5*x = -85. Let z be 2*(-6)/(48/q). Factor -45/4*k**3 - 13/2*k**2 + z*k**4 + 9*k - 2.
(k - 2)*(k + 1)*(5*k - 2)**2/4
Let u(l) = l**3 - 8*l**2 - 26*l - 5. Let t be u(11). Suppose 67*y**3 - 6*y**4 + t*y**3 - 147*y**3 + 2*y**5 = 0. What is y?
-1, 0, 4
Let m(y) be the first derivative of 7*y**6/24 - 3*y**5/4 + 5*y**4/12 - 7*y**2 - 11. Let r(i) be the second derivative of m(i). Let r(v) = 0. What is v?
0, 2/7, 1
Let g(r) = -r**2 + 10*r + 13. Let d be g(11). Suppose -4*b**2 + 2*b**2 + 4*b**2 + 2*b**d - 4*b**4 = 0. Calculate b.
-1, 0, 1
Let f = 43 - 38. Factor -10*c - f*c**3 + 20*c + 5*c**2 - 3*c + 15 + 18*c.
-5*(c - 3)*(c + 1)**2
Suppose -2*q = -6, q = 4*s + 4*q - 293. Let 5*u**3 - s*u + 71*u - 4*u**3 + 4*u**2 = 0. What is u?
-4, 0
Suppose 4 + 15 = 5*n - 2*t, 0 = -2*n + 5*t + 16. Determine p so that -p + p**n - 2*p**2 + 8 + p**3 + 3*p - 10*p = 0.
-2, 1, 2
Let l(x) = 5*x**3 + 195*x**2 + 185*x - 395. Let t(u) = 5*u**3 + 194*u**2 + 185*u - 396. Let r(h) = -6*l(h) + 5*t(h). Determine m so that r(m) = 0.
-39, -2, 1
Let a(o) be the second derivative of -o**5/90 + o**4/18 + 10*o**3/27 - 8*o**2/3 - 98*o - 1. Factor a(b).
-2*(b - 4)*(b - 2)*(b + 3)/9
Suppose 5*x - 8 = x. Suppose -7 + 5 = -3*j - 5*r, j + 5*r + 6 = 0. Factor x*c - j*c**2 - c**3 - c**3 - 4*c.
-2*c*(c + 1)**2
Let -9*b**4 + 28*b**2 + 36*b**2 - 19*b**2 - 12*b - 24*b**3 = 0. Calculate b.
-4, 0, 1/3, 1
Let a = 21 - 4. Let b = a + -9. Factor -8*r - 5*r**3 - 1 + 3*r**3 - b*r**2 + 1.
-2*r*(r + 2)**2
Let s = 75964/3 - 25320. What is a in 64/3*a + 32/3*a**2 + s*a**5 - 4/3*a**4 - 64/3 - 32/3*a**3 = 0?
-2, 1, 2
Let w(n) = 3*n**2 - 15*n - 6. Let q = -32 + 25. Let v(h) = -3*h**2 + 16*h + 7. Let i(g) = q*w(g) - 6*v(g). Factor i(d).
-3*d*(d - 3)
Let y(c) be the second derivative of -c**7/1260 + c**6/135 - 8*c**3/3 + 17*c. Let r(b) be the second derivative of y(b). Suppose r(l) = 0. Calculate l.
0, 4
Suppose -4 = -4*r - 4*a, 0 = 2*r - 0*a - 2*a - 6. Factor 64 - 10*o + 76*o - 12*o**2 - 2*o**4 - r*o - 14*o**3.
-2*(o - 2)*(o + 1)*(o + 4)**2
Suppose 7*l - 3*l = v + 4, -2*v = -3*l + 28. Let u = v - -22. Determine t so that 3/2*t + 3/2*t**u - 3/2 - 3/2*t**3 = 0.
-1, 1
Let k = -98 - -144. Let h be (-10)/42 + k/69. Factor 6/7 - h*v**2 + 3/7*v.
-3*(v - 2)*(v + 1)/7
Let s(b) = -8*b**2 - 184*b - 588. Let i(y) = 3*y**2 + 73*y + 235. Let o(p) = 12*i(p) + 5*s(p). Factor o(j).
-4*(j + 5)*(j + 6)
Let i(n) be the first derivative of -n**3 + 6*n**2 - 9*n + 62. Suppose i(m) = 0. Calculate m.
1, 3
Solve 89*t**3 + 7*t**5 + 46*t**4 + 53212 + 18*t**2 - 27*t - 53212 - 5*t**3 = 0 for t.
-3, -1, 0, 3/7
Let c(i) be the second derivative of -i**7/2520 - i**6/360 - i**5/120 - i**4/72 - 11*i**3/6 - 13*i. Let d(l) be the second derivative of c(l). Factor d(v).
-(v + 1)**3/3
Let q(g) = 26*g**3 - 100*g**2 + 72*g + 178. Let z(k) = -8*k**3 + 33*k**2 - 24*k - 59. Let c(h) = -6*q(h) - 20*z(h). Determine v, given that c(v) = 0.
-1, 2, 14
Let t(l) = -l**3 - 18*l**2 - 2*l - 20. Let n be t(-18). Factor n*w**2 - 4*w**3 - 8*w - 6*w**3 + 169*w**4 - 167*w**4.
2*w*(w - 2)**2*(w - 1)
Let i(m) = -m**3 - 2*m**2 + 3. Let b be i(0). Factor -k**4 - 7*k**b + 4*k**3 - 498*k + 497*k - 3*k**2.
-k*(k + 1)**3
Let q be 8 + (-133)/14 - (-1)/(-2). Let w be (q - 1) + 135/39. Factor 8/13*o - w - 2/13*o**2.
-2*(o - 3)*(o - 1)/13
Let n(o) be the first derivative of -4/9*o**6 + 6/5*o**5 + 0*o**2 + 0*o - o**4 + 16 + 2/9*o**3. Factor n(h).
-2*h**2*(h - 1)**2*(4*h - 1)/3
Let w(c) = 7*c - c**2 - 58 + 27 + 31. Let d(b) = 8*b + 0*b**2 - 5*b**2 + 4*b**2. Let v(n) = -6*d(n) + 7*w(n). Solve v(i) = 0.
0, 1
Let s(q) be the second derivative of -q**5/50 + 2*q**4/5 - 11*q**3/15 - 47*q + 3. Factor s(y).
-2*y*(y - 11)*(y - 1)/5
Let u(p) be the third derivative of 25/96*p**4 + p**2 + 17/120*p**5 + 0 + 0*p - 5/1344*p**8 + 1/40*p**6 - 1/105*p**7 + 1/4*p**3. Find m, given that u(m) = 0.
-1, -3/5, 2
Let v be -1 - 9/(-2) - (82 + -80). Suppose -3 + 3/2*t**2 + v*t = 0. Calculate t.
-2, 1
Suppose 0 = 440*v - 425*v. What is m in 8/7*m + v - 2*m**3 - 24/7*m**2 = 0?
-2, 0, 2/7
Let w = -12060/37 - -29/148. Let f = w + 328. Factor -f*g + 3/4*g**2 + 0.
3*g*(g - 3)/4
Let j(d) be the second derivative of d**7/168 + d**6/40 + d**5/80 - d**4/16 - d**3/12 + 109*d. Factor j(y).
y*(y - 1)*(y + 1)**2*(y + 2)/4
Let i(u) = 5*u + 80. Let a be i(-19). Let y(b) = -2*b**2 - 29*b + 15. Let w be y(a). Let 0 + 0*f**2 + 2/7*f**5 + w*f + 2/7*f**3 - 4/7*f**4 = 0. Calculate f.
0, 1
Let h = -155/198 + 8/11. Let g = h + 599/90. Factor -g*y + 9/5 - 12/5*y**2.
-3*(y + 3)*(4*y - 1)/5
What is k in -2592 + k**4 - 4*k**4 - 944*k**2 - 80*k**3 + 1289*k + 3*k**4 - 2*k**4 - 4169*k = 0?
-18, -2
Let f = -389 - -389. Let j(y) be the third derivative of 0*y**7 + 0*y**3 + 0 - 1/60*y**6 + 1/336*y**8 + f*y + 0*y**5 + 4*y**2 + 1/24*y**4. Factor j(z).
z*(z - 1)**2*(z + 1)**2
Let z(q) be the third derivative of -2/3*q**3 + 0*q - 1/180*q**6 + 0*q**4 + 0 - 4*q**2 - 1/180*q**5. Let t(m) be the first derivative of z(m). Factor t(b).
-2*b*(3*b + 1)/3
Let r(m) = 4*m**5 + 4*m**4 + 6*m**3 + 2*m**2 - 10*m + 6. Let d(b) = b**5 + b**4 - b**3 + b**2. Let s(y) = 6*d(y) - r(y). Solve s(o) = 0.
-3, -1, 1
Let h(t) = -12*t**2 + t. Let n(r) = -r**3 - 4*r**2 - 3*r + 2. Let g be n(-3). Let k(d) = 12*d**2. Let f(y) = g*k(y) + 3*h(y). Factor f(b).
-3*b*(4*b - 1)
Suppose 88*f - 68*f**2 + 145*f**2 - 76*f**2 + 1936 = 0. What is f?
-44
Factor 0 + 8/11*g + 2/11*g**3 + 10/11*g**2.
2*g*(g + 1)*(g + 4)/11
Let i be (10 - 1)*((-39)/(-63))/13. Factor 3/7*o**4 + 0 - 3/7*o**2 + i*o**5 - 3/7*o**3 + 0*o.
3*o**2*(o - 1)*(o + 1)**2/7
Let a = -6840 + 6843. Let -86/3*h**a + 146/3*h**2 - 112/3*h + 32/3 - 2/3*h**5 + 22/3*h**4 = 0. Calculate h.
1, 4
Let j(g) be the second derivative of -g**4/48 + 31*g**3/24 + 2*g - 207. Factor j(v).
-v*(v - 31)/4
Let u(n) = n**2 + 8*n. Let l be u(-8). Suppose 2*a - 4 - 2 = l. Factor -4*h**2 + 4*h**2 + 3*h**a - h + 2*h - 5*h**2 + 9*h**4.
h*(h + 1)*(3*h - 1)**2
Let b = 1509499/5555 + 70/1111. Let q = b - 271. Factor 2/5*h**2 + 2/5 + q*h.
2*(h + 1)**2/5
Let c = -66 + 72. Let q be (2*(-1)/6)/(c/(-36)). Factor 2/11*g**3 + 6/11*g**q + 6/11*g + 2/11.
2*(g + 1)**3/11
Let k(w) be the second derivative of w**5/5 - 32*w**4/3 + 512*w**3/3 - 4*w - 1. Let k(d) = 0. Calculate d.
0, 16
Solve 18/11*k**2 + 4/11*k + 0 + 14/11*k**3 = 0.
-1, -2/7, 0
Let f(c) be the first derivative of -c**3/6 + 9*c**2/2 + 19*c/2 + 44. Factor f(r).
-(r - 19)*(r + 1)/2
Let -96/7 - 78/7*m + 18/7*m**2 = 0. Calculate m.
-1, 16/3
Let p(i) be the first derivative of -5*i**6/72 - i**5/4 - i**4/3 - 2*i**3/9 - 2*i**2 + 6. Let q(l) be the second derivative of p(l). Factor q(h).
-(h + 1)*(5*h + 2)**2/3
Suppose -17 = -8*p + 23. Factor -6*l**4 + 60*l**2 + 3*l**4 + 30*l**3 + 40*l + p*l**4 + 3*l**4.
5*l*(l + 2)**3
Let k(g) be the first derivative of -g**3/5 - 6*g**2/5 + 3*g - 7. Find j such that k(j) = 0.
-5, 1
Let z(v) = -3*v**2 + 1. Let y(d) = -44*d**2 - 30*d - 58. Let u(m) = -2*y(m) + 28*z(m). Factor u(f).
4*(f + 3)*(f + 12)
Suppose c + r - 8 = -0*c, -2*r - 10 = 0. Suppose -c*h + 16*h = 6. Factor -15/4*d + 9/4 + 7/4*d**h - 1/4*d**3.
-(d - 3)**2*(d - 1)/4
Let a be 4/(-22) - (-748)/121. Factor -a*q - 1 - 3*q**2 - 6 + 2 + 2.
-3*(q + 1)**2
Suppose -3*q**3 - 3/2*q**4 + 6 + 12*q + 9/2*q**2 = 0. What is q?
-2, -1, 2
Let m(y) = 2*y**2 + 98*y + 1148. Let p(c) = 6*c**2 + 295*c + 3442. Let h(q) = -7*m(q) + 2*p(q). Factor h(z).
-2*(z + 24)**2
Let v(m) be the second derivative of 7*m + 0*m**3 + 0*m**2 + 0 + 1/16*m**4. Determine y so that v(y) = 0.
0
Let k(x) be the first derivative of x**6/300 + x**5/200 + 10*x - 9. Let o(f) be the first derivative of k(f). Suppose o(i) = 0. Calculate i.
-1, 0
Suppose 0 = -5*r + 5, r - 4 =
|
{
"pile_set_name": "DM Mathematics"
}
|
rm of -39, -44, -61, -96, -155, -244?
-j**3 + 2*j - 40
What is the l'th term of 14, 4, 8, 32, 82, 164, 284?
l**3 + l**2 - 20*l + 32
What is the k'th term of 15, 18, 9, -18, -69, -150, -267?
-k**3 + 10*k + 6
What is the y'th term of 9, -1, -15, -33, -55?
-2*y**2 - 4*y + 15
What is the a'th term of -999, -1000, -1003, -1008, -1015, -1024?
-a**2 + 2*a - 1000
What is the d'th term of 36, 33, 16, -21, -84, -179?
-d**3 - d**2 + 7*d + 31
What is the y'th term of 146, 151, 168, 203, 262?
y**3 - 2*y + 147
What is the o'th term of 83, 154, 227, 302, 379?
o**2 + 68*o + 14
What is the s'th term of -109, -236, -391, -586, -833, -1144, -1531, -2006?
-2*s**3 - 2*s**2 - 107*s + 2
What is the o'th term of -202, -336, -468, -598, -726?
o**2 - 137*o - 66
What is the g'th term of 65, 76, 89, 104, 121?
g**2 + 8*g + 56
What is the o'th term of 8, 3, -2, -7, -12?
-5*o + 13
What is the u'th term of 68, 90, 138, 224, 360?
2*u**3 + u**2 + 5*u + 60
What is the v'th term of 32, 50, 72, 98, 128, 162, 200?
2*v**2 + 12*v + 18
What is the o'th term of -225, -450, -675, -900?
-225*o
What is the u'th term of -40, -28, -16, -4?
12*u - 52
What is the g'th term of 189, 184, 179?
-5*g + 194
What is the j'th term of 226, 898, 2024, 3610, 5662, 8186, 11188, 14674?
j**3 + 221*j**2 + 2*j + 2
What is the t'th term of 176, 696, 1562, 2774, 4332, 6236, 8486?
173*t**2 + t + 2
What is the y'th term of -20, -49, -88, -143, -220, -325, -464?
-y**3 + y**2 - 25*y + 5
What is the k'th term of 90, 377, 858, 1533, 2402?
97*k**2 - 4*k - 3
What is the z'th term of 188, 376, 568, 764?
2*z**2 + 182*z + 4
What is the j'th term of -78, -78, -70, -48, -6, 62?
j**3 - 2*j**2 - j - 76
What is the k'th term of -1427, -5711, -12851, -22847, -35699, -51407, -69971?
-1428*k**2 + 1
What is the s'th term of 154, 155, 156, 157, 158, 159?
s + 153
What is the m'th term of -785, -1569, -2353?
-784*m - 1
What is the u'th term of 3, -2, -7?
-5*u + 8
What is the a'th term of 389, 391, 401, 425, 469, 539, 641, 781?
a**3 - 2*a**2 + a + 389
What is the c'th term of -348, -337, -320, -297?
3*c**2 + 2*c - 353
What is the s'th term of -9, 83, 331, 813, 1607, 2791?
13*s**3 + s - 23
What is the c'th term of -6, -17, -36, -63, -98?
-4*c**2 + c - 3
What is the m'th term of 21, -39, -205, -531, -1071, -1879?
-9*m**3 + m**2 + 29
What is the k'th term of -20, -59, -130, -239, -392, -595, -854, -1175?
-k**3 - 10*k**2 - 2*k - 7
What is the j'th term of 148, 159, 184, 229, 300?
j**3 + j**2 + j + 145
What is the p'th term of 56, 65, 74, 83, 92?
9*p + 47
What is the r'th term of 19, 63, 137, 247, 399, 599, 853?
r**3 + 9*r**2 + 10*r - 1
What is the c'th term of -27, -59, -91?
-32*c + 5
What is the c'th term of -9, -39, -87, -153, -237, -339, -459?
-9*c**2 - 3*c + 3
What is the w'th term of 0, -16, -72, -186, -376?
-3*w**3 - 2*w**2 + 11*w - 6
What is the d'th term of -38, -50, -76, -122, -194, -298, -440?
-d**3 - d**2 - 2*d - 34
What is the m'th term of -45, -61, -99, -171, -289, -465?
-2*m**3 + m**2 - 5*m - 39
What is the o'th term of 38, 35, 22, -7, -58, -137, -250?
-o**3 + o**2 + o + 37
What is the k'th term of 167, 96, 25?
-71*k + 238
What is the i'th term of -560, -561, -562, -563, -564, -565?
-i - 559
What is the h'th term of -280, -272, -264, -256, -248?
8*h - 288
What is the t'th term of -49, -44, -39?
5*t - 54
What is the b'th term of -156, -314, -476, -642, -812, -986, -1164?
-2*b**2 - 152*b - 2
What is the m'th term of 21, -4, -87, -258, -547, -984?
-5*m**3 + m**2 + 7*m + 18
What is the t'th term of -197, -762, -1703, -3020, -4713?
-188*t**2 - t - 8
What is the w'th term of -50, -45, -40?
5*w - 55
What is the a'th term of -193, -194, -197, -202, -209, -218, -229?
-a**2 + 2*a - 194
What is the p'th term of -3968, -7937, -11906, -15875, -19844?
-3969*p + 1
What is the t'th term of -23, -48, -73?
-25*t + 2
What is the d'th term of 62, 67, 72?
5*d + 57
What is the l'th term of -66, -278, -638, -1146, -1802, -2606?
-74*l**2 + 10*l - 2
What is the r'th term of -16, -65, -176, -373, -680, -1121?
-4*r**3 - 7*r**2 - 5
What is the h'th term of 94, 216, 338?
122*h - 28
What is the q'th term of -1463, -1480, -1509, -1550, -1603, -1668, -1745?
-6*q**2 + q - 1458
What is the o'th term of 0, 18, 62, 144, 276, 470, 738, 1092?
2*o**3 + o**2 + o - 4
What is the n'th term of -117, -200, -271, -324, -353, -352, -315?
n**3 - 90*n - 28
What is the t'th term of -2357, -4712, -7067, -9422, -11777?
-2355*t - 2
What is the s'th term of 898, 899, 900, 901?
s + 897
What is the v'th term of 123, 127, 145, 183, 247, 343, 477, 655?
v**3 + v**2 - 6*v + 127
What is the m'th term of -17, -79, -183, -329, -517, -747?
-21*m**2 + m + 3
What is the z'th term of 448, 891, 1334, 1777, 2220?
443*z + 5
What is the p'th term of 20749, 20745, 20739, 20731?
-p**2 - p + 20751
What is the g'th term of 22, 113, 270, 493?
33*g**2 - 8*g - 3
What is the u'th term of 11, -17, -63, -127, -209, -309, -427?
-9*u**2 - u + 21
What is the q'th term of -6579, -6578, -6577?
q - 6580
What is the g'th term of 454, 454, 456, 460?
g**2 - 3*g + 456
What is the x'th term of -64, -65, -58, -37, 4, 71, 170, 307?
x**3 - 2*x**2 - 2*x - 61
What is the d'th term of -97, -61, -27, 5, 35, 63?
-d**2 + 39*d - 135
What is the w'th term of -126, -131, -140, -153?
-2*w**2 + w - 125
What is the a'th term of -431, -893, -1341, -1769, -2171, -2541, -2873?
a**3 + a**2 - 472*a + 39
What is the h'th term of -52, -205, -460, -817?
-51*h**2 - 1
What is the k'th term of -7, 5, 23, 47, 77, 113, 155?
3*k**2 + 3*k - 13
What is the c'th term of 8874, 8874, 8872, 8868, 8862, 8854?
-c**2 + 3*c + 8872
What is the a'th term of -1300, -2587, -3874, -5161, -6448?
-1287*a - 13
What is the c'th term of 90, 92, 94?
2*c + 88
What is the r'th term of -471, -601, -745, -909, -1099, -1321, -1581?
-r**3 - r**2 - 120*r - 349
What is the w'th term of -8, -92, -314, -740, -1436?
-11*w**3 - 3*w**2 + 2*w + 4
What is the h'th term of -1497, -1496, -1495, -1494?
h - 1498
What is the f'th term of -154, -141, -126, -109, -90, -69, -46?
f**2 + 10*f - 165
What is the w'th term of -177, -173, -169, -165, -161?
4*w - 181
What is the t'th term of -14, -24, -36, -50?
-t**2 - 7*t - 6
What is the g'th term of 27, 33, 59, 117, 219, 377, 603?
2*g**3 - 2*g**2 - 2*g + 29
What is the u'th term of 25, 43, 61, 79?
18*u + 7
What is the n'th term of -9213, -9212, -9211, -9210, -9209?
n - 9214
What is the g'th term of -711, -719, -727, -735, -743?
-8*g - 703
What is the o'th term of -52, -105, -158, -211, -264?
-53*o + 1
What is the s'th term of 1114, 1105, 1082, 1039, 970, 869, 730, 547?
-s**3 - s**2 + s + 1115
What is the d'th term of 2429, 2428, 2427, 2426, 2425, 2424?
-d + 2430
What is the c'th term of 127, 983, 3303, 7819, 15263, 26367?
122*c**3 + 2*c + 3
What is the c'th term of 134, 131, 128, 125, 122?
-3*c + 137
What is the m'th term of 85, 14, -47, -92, -115, -110, -71?
m**3 - m**2 - 75*m + 160
What is the z'th term of -31, -33, -27, -7, 33, 99, 197?
z**3 - 2*z**2 - 3*z - 27
What is the s'th term of -2990, -5971, -8960, -11963, -14986, -18035, -21116, -24235?
-s**3 + 2*s**2 - 2980*s - 11
What is the i'th term of -12, -14, -8, 12, 52?
i**3 - 2*i**2 - 3*i - 8
What is the k'th term of 16, 61, 122, 193, 268?
-k**3 + 14*k**2 + 10*k - 7
What is the w'th term of 97, 101, 113, 139, 185?
w**3 - 2*w**2 + 3*w + 95
What is the l'th term of -25, -77, -165, -289, -449, -645?
-18*l**2 + 2*l - 9
What is the q'th term of -961, -956, -949, -940, -929?
q**2 + 2*q - 964
What is the h'th term of 6, 12, 30, 66, 126, 216, 342?
h**3 - h + 6
What is the l'th term of 82, 168, 260, 358?
3*l**2 + 77*l + 2
What is the l'th term of 10, 11, 24, 55, 110, 195?
l**3 - 6*l + 15
What is the a'th term of -9, 3, 23, 51, 87, 131, 183?
4*a**2 - 13
What is the k'th term of 39, 143, 345, 669, 1139, 1779, 2613?
4*k**3 + 25*k**2 + k + 9
What is the q'th term of -85, -98, -119, -148, -185, -230?
-4*q**2 - q - 80
What is the o'th term of -54, -49, -44?
5*o - 59
What is the c'th term of -258, -528, -808, -1098, -1398, -1708, -2028?
-5*c**2 - 255*c + 2
What is the a'th term of -1730, -1745, -1760, -1775?
-15*a - 1715
What is the j'th term of -831, -834, -837, -840, -843, -846?
-3*j - 828
What is the w'th term of 425, 431, 441, 455, 473, 495, 521?
2*w**2 + 423
What is the m'th term of -5, -12
|
{
"pile_set_name": "DM Mathematics"
}
|
170))/sqrt(10) - sqrt(17)) + sqrt(68) + -1 + sqrt(17) + 4 + -1)**2.
16*sqrt(17) + 275
Simplify 3*(sqrt(243) - sqrt(243)*1 - (sqrt(27) + -3) - (sqrt(96)*-1)/sqrt(8))**2 + 4.
-18*sqrt(3) + 40
Simplify 2*3*(((-3 + (sqrt(1008) - (-1 + sqrt(1008))))**2 - sqrt(1008) - sqrt(1008))*2 + 0 + 5)*2.
-576*sqrt(7) + 156
Simplify 6*(-6*(5*(0 + sqrt(637) + sqrt(637)))**2 - (sqrt(1573)*1*-5 + (sqrt(1573) + -2 + sqrt(1573) + -3)**2)).
-2331102 + 1650*sqrt(13)
Simplify ((-2*(sqrt(80) + sqrt(5))*4 - ((1 + sqrt(180) - sqrt(180)) + sqrt(180))*-2) + 4 + (-2*sqrt(125) - sqrt(125)) + 2 + -4)**2.
-344*sqrt(5) + 9261
Simplify (-6*-1*sqrt(78))/(sqrt(42)/(sqrt(7) + sqrt(7) + sqrt(14)/sqrt(2)) - sqrt(6)) + (sqrt(104)/(sqrt(2) - sqrt(18)) + sqrt(52))/(sqrt(252)/sqrt(7)).
-53*sqrt(13)/6
Simplify (((-1 + -1*sqrt(2736))*-6 - 6*(2 + sqrt(2736))*-2)*6)**2 + -1.
466560*sqrt(19) + 31945103
Simplify (-1 + 1 + sqrt(180)*2 + -4 - 2*(-6*(sqrt(180) - (1 + sqrt(180))) - sqrt(180))*-2)**2.
-480*sqrt(5) + 1120
Simplify (3*3*(sqrt(66)*1 + sqrt(66))*-6)/((sqrt(54)*-3)/sqrt(9) - (sqrt(384) + sqrt(384) + 1*sqrt(384) + sqrt(384))).
108*sqrt(11)/35
Simplify (1*1*(sqrt(128) + 0 + 5)*-3*-6)**2*3.
77760*sqrt(2) + 148716
Simplify ((-1*sqrt(180)*3*1 - (-3*(sqrt(180) + 2*sqrt(180) + sqrt(180)) - sqrt(180) - sqrt(180)*-2*-6))*-4 + 4)**2*1.
-4224*sqrt(5) + 1393936
Simplify (6*(4 + (sqrt(162) - (sqrt(162) - 5*(2 + sqrt(162)))) + -4 + (-1 + sqrt(162))*-1)*4)**2*-6.
-9376128 - 2737152*sqrt(2)
Simplify -6*(-3*(1 + (sqrt(612) - (sqrt(612) - (-1 + sqrt(612)))) + (-6*(sqrt(612) - -2*sqrt(612)) - sqrt(612))))**2*-1.
10707552
Simplify (sqrt(240)*-2 - -6*sqrt(15)*2)/(-1*sqrt(720)*2).
-sqrt(3)/6
Simplify (6*sqrt(440)/(sqrt(8) - 4*sqrt(8)))/((sqrt(3993)*-5 + sqrt(3993))/sqrt(3)).
sqrt(5)/22
Simplify 5*(-3*sqrt(80))**2 + 2*sqrt(80)*-6 + (-1*2*sqrt(80)*-5 + -3)**2.
-288*sqrt(5) + 11609
Simplify (1*sqrt(132)*1)/(sqrt(96)/sqrt(72)) + ((3*sqrt(1331)*2 + sqrt(1331))**2 - sqrt(1331)) + (sqrt(1331) + -2)*-2 + sqrt(1331) + sqrt(1331).
-8*sqrt(11) + 65223
Simplify (-2*3*(-1*sqrt(75))**2 + (-5 + 0 + sqrt(300) - -5*(sqrt(300) + -1 + sqrt(300)))**2)*5.
-11000*sqrt(3) + 179750
Simplify (sqrt(68)*-2*1)/(sqrt(4) + (sqrt(56)/sqrt(2))/sqrt(7)) + 5*-2*sqrt(833)*5.
-351*sqrt(17)
Simplify (sqrt(160)/(sqrt(200) + sqrt(8)))/(-1*sqrt(100)) + (sqrt(110)/(sqrt(6)/sqrt(3)))/(sqrt(44)/(sqrt(4)*2 - sqrt(4))).
29*sqrt(5)/30
Simplify -4 + (2*1*sqrt(2299)*1*6 - ((sqrt(2299) + 0)*6 + 4 + 2 + sqrt(2299) + sqrt(2299))**2).
-147176 - 924*sqrt(19)
Simplify -3*(-2 + -2 + sqrt(475) + (-1*sqrt(475))**2*-5 + (-3*sqrt(475)*-1 - (sqrt(475) - (sqrt(475) + 3 + sqrt(475)))*-6)**2).
-1635*sqrt(19) - 6660
Simplify 4 + sqrt(325) + sqrt(13) + 5 + 0 - (-2*(sqrt(1872) + 0) - (sqrt(1872) + (2*(sqrt(1872) + -1 - sqrt(1872)))**2)).
13 + 42*sqrt(13)
Simplify (6*(sqrt(108) + 1) + 0 + (sqrt(108)*2 - sqrt(108)) - (-5*(sqrt(108)*2 + 0) + 0))**2.
1224*sqrt(3) + 31248
Simplify (-4*(3 + (sqrt(1053) + -1*sqrt(1053) + sqrt(1053) + -1 - sqrt(1053)) + -4)*5)**2 + -3.
1597
Simplify (5 + (-6*(sqrt(425) + -1 + 2 + sqrt(425)) - 6*((sqrt(425) - 6*3*sqrt(425)) + sqrt(425)))*3)**2.
-32760*sqrt(17) + 26989369
Simplify (5*(sqrt(392)*3)/sqrt(8)*-3)/((sqrt(140)*2 - sqrt(35))/(sqrt(80)*-2 + sqrt(80) - sqrt(80))).
120*sqrt(7)
Simplify -4 + 4*(((sqrt(162) + sqrt(162) + -1)*-2 - (sqrt(162) + -1 + sqrt(162) + 1 - sqrt(162)) - -4*(sqrt(162) + -1)*-6)**2 + 5).
-54288*sqrt(2) + 547688
Simplify 1 + ((sqrt(72)*2*1)/(sqrt(6) - sqrt(24)*-5))/(1*(sqrt(726) + 2*sqrt(726) - ((sqrt(294)*-1 - sqrt(294)) + sqrt(294)))).
sqrt(2)/220 + 1
Simplify 3 + (-3*(sqrt(147) + (sqrt(147)*2)**2) + (sqrt(3) - (sqrt(3) + -1)*-3) + sqrt(48) + -2 + sqrt(48))*2.
-3535 - 18*sqrt(3)
Simplify (sqrt(567) + 4 + sqrt(14)/(-5*sqrt(2)) + (-5 + sqrt(7)*3 - sqrt(56)/(sqrt(56)/sqrt(7))))**2 + -3.
-108*sqrt(7)/5 + 20362/25
Simplify 5*((sqrt(224) + 2*sqrt(224))/((sqrt(28) - sqrt(56)/sqrt(2)) + sqrt(7)) + 1 + (sqrt(324)/sqrt(9))/sqrt(2)).
5 + 75*sqrt(2)
Simplify (sqrt(342)/sqrt(6)*1 + 5*sqrt(456)/sqrt(8))/((sqrt(96)/sqrt(4))/(sqrt(288) + -2*sqrt(288) + sqrt(288) - sqrt(2))).
-3*sqrt(19)
Simplify ((sqrt(99) + (1*sqrt(99) + sqrt(99))*-5)*-3*-6)/(-2*sqrt(9)*1 + (sqrt(1296) - -1*sqrt(1296))).
-81*sqrt(11)/11
Simplify (((-2*sqrt(240))/sqrt(8))/(sqrt(60)/sqrt(6)*6))**2 + (3 + -3*sqrt(48)*4)**2*-2.
-41525/3 + 576*sqrt(3)
Simplify -5 + ((sqrt(1700)*2 - sqrt(1700))*-4 - ((0 + sqrt(1700))**2 + -4)) + 3 + 0 + 2.
-1696 - 40*sqrt(17)
Simplify ((-1*sqrt(300)*5 + 4 + sqrt(300)*2)*-2 + (sqrt(300) + -2*sqrt(300)*-3 - ((-2 + sqrt(300))*-5 - sqrt(300))))**2 + -2.
-6840*sqrt(3) + 108622
Simplify ((sqrt(286)/(sqrt(11) - sqrt(55)/sqrt(5)*-1))/(sqrt(24)/(sqrt(12)*-2)*-2) + -3)**2.
-3*sqrt(13) + 49/4
Simplify (((sqrt(1700) - (2*sqrt(1700) - sqrt(1700))) + -4 + sqrt(1700) - (sqrt(1700) - (4*sqrt(1700) + 5)))*-3*5)**2.
18000*sqrt(17) + 6120225
Simplify -5 + (6*1*sqrt(99)*-5*-2)/((2*sqrt(1296))/sqrt(256)).
-5 + 40*sqrt(11)
Simplify 1 + -4*(((2 + sqrt(272))*6 + 3)**2 - (2*(sqrt(272) + 1 + 0 - sqrt(272)))**2)*-3.
8640*sqrt(17) + 120157
Simplify -6*-1*6*((3*((sqrt(1100) + sqrt(1100)*-2)*-1 - (-3 + sqrt(1100)*1 - sqrt(1100))))**2 + 3).
19440*sqrt(11) + 359424
Simplify (sqrt(51) + sqrt(612)/sqrt(1728) - -3*sqrt(561)/sqrt(11))/(5*2*-1*sqrt(27)).
-49*sqrt(17)/360
Simplify (2*(-1*(sqrt(320)*2 + -3) - ((sqrt(320) + sqrt(320)*-2 + sqrt(320))*5 + -5))*-4)**2.
-16384*sqrt(5) + 86016
Simplify -6*((sqrt(900)*2)/sqrt(5) - (sqrt(80) + -3*sqrt(80))**2*4)*-4.
-30720 + 288*sqrt(5)
Simplify 0 + ((0 + sqrt(468) + 1)*-6)**2 + (-3 + sqrt(468))**2*-6 + -4.
648*sqrt(13) + 14018
Simplify ((-4 + 3 + 4*(sqrt(405) + sqrt(405)*-1) + 3 + -1 + sqrt(405) + -1)*2)**2.
1620
Simplify (((5*(2*sqrt(1872) - sqrt(1872)))/(sqrt(100)*1 + sqrt(4) - -2*(sqrt(12)/sqrt(3) - sqrt(4))) + -2)*-3)**2*-1.
-2961 + 180*sqrt(13)
Simplify (sqrt(48)/sqrt(4)*1 + sqrt(12) + sqrt(60)/sqrt(5)*3)/((sqrt(84)/(sqrt(16)/sqrt(8)))/sqrt(7)).
5*sqrt(2)
Simplify (sqrt(44)*2)/sqrt(4) + -4 + sqrt(55)/sqrt(5) - (sqrt(99) - sqrt(99)*1*-6)/(sqrt(81)*-6).
-4 + 61*sqrt(11)/18
Simplify -2*(sqrt(85)*1*-1 - (-2*sqrt(85)*-2 - sqrt(85)))/((sqrt(125) - -2*sqrt(125) - sqrt(125) - sqrt(125) - -2*sqrt(5)*4)*-6).
-4*sqrt(17)/39
Simplify ((sqrt(168) + (sqrt(168) - -2*sqrt(168)*-2))/(-1*sqrt(175) + sqrt(175) + sqrt(175)))/((sqrt(36) - 1*sqrt(2304))/(sqrt(3) + (2*sqrt(9))/sqrt(3))).
6*sqrt(2)/35
Simplify (1*1*sqrt(135) - -2*sqrt(135)*2)/(sqrt(55)/(sqrt(99) - 4*sqrt(99)))*-1.
135*sqrt(3)
Simplify (((1*sqrt(216))/sqrt(4) + sqrt(54) + sqrt(54))/(sqrt(3) - sqrt(12)*4))/((5*sqrt(72)*-2)/(-1*sqrt(12)*1 - sqrt(12))).
-3*sqrt(3)/35
Simplify (1 + -1 + sqrt(117))**2 + (3 + sqrt(39)/sqrt(3))*-3 + (3 + (0 + sqrt(1872) + sqrt(1872))**2*-4)*3.
-89739 - 3*sqrt(13)
Simplify 6*4*((0 + sqrt(2736)*-3 + 2*sqrt(2736)*-2)*-1)**2.
3217536
Simplify 4 + 4 + (sqrt(300)/sqrt(6) + sqrt(72))**2 + -1 + -3 + 3.
249
Simplify (5 + (sqrt(162)*-1)**2 + -5)*1 - (-3 + sqrt(288) + -2 + -5 + (0 + sqrt(288))**2).
-116 - 12*sqrt(2)
Simplify 5*(sqrt(108)/(sqrt(1296) + -5*sqrt(1296) + sqrt(1296)))/((6*sqrt(2000) + sqrt(20))/sqrt(5)).
-5*sqrt(3)/2196
Simplify (4*sqrt(180)*3*4)/(-2*sqrt(54)/sqrt(6) + sqrt(9) - -1*sqrt(324)).
96*sqrt(5)/5
Simplify (4*(sqrt(33) + sqrt(33) + sqrt(165)/sqrt(5))*6)/(-2*(sqrt(3) - sqrt(15)/(sqrt(5)*-3)))*6.
-162*sqrt(11)
Simplify ((4*sqrt(84)/(sqrt(12)/sqrt(4)) + (-1*sqrt(196))/sqrt(7) + -2)*4)**2.
-384*sqrt(7) + 4096
Simplify (1*-5*(2*(sqrt(34) + 2*sqrt(34) - sqrt(34)) + sqrt(34)))/(2*(sqrt(6050) - sqrt(6050)*-4)).
-sqrt(17)/22
Simplify (((sqrt(325) - (0 + sqrt(325)))*-2 + (sqrt(325) - (-1 + sqrt(325) + -5) - sqrt(325)))*3 + 3*(-1*-2*sqrt(325) + 4*(-1 + sqrt(325))) + 0)**2.
900*sqrt(13) + 73161
Simplify ((sqrt(15)/sqrt(3)*2 + -1)**2*-3 - sqrt(315)/(1*sqrt(7))*-4) + -5.
-68 + 24*sqrt(5)
Simplify (5 + (4*-2*sqrt(880) + sqrt(880))/(-3*2*sqrt(396))*-5)**2.
-350*sqrt(5)/9 + 8150/81
Simplify (-3*3*sqrt(27) - (6*(sqrt(432) - (-1 + sqrt(432))))**2) + 3 + 5.
-27*sqrt(3) - 28
Simplify 1 + (sqrt(1377) - (sqrt(1377) - sqrt(1377)*1)**2) + 4 + -3 - (3*1*sqrt(1377) - (sqrt(1377) - (3 + sqrt(1377)))*1).
-18*sqrt(17) - 1
Simplify (-4*sqrt(1377)*3*6 - (3 + sqrt(2448) + 1)*1)**2.
5280*sqrt(17) + 7405216
Simplify (((sqrt(720) + sqrt(720) + 0 - sqrt(720)) + sqrt(720))**2 - sqrt(720))
|
{
"pile_set_name": "DM Mathematics"
}
|
m**3 + 18175*m**2 - 83695*m + 10830 = 0. Calculate m.
-19, 2/15, 3
Factor j**4 + 181*j**3 + 9699*j**2 + 158219*j - 168100.
(j - 1)*(j + 41)**2*(j + 100)
Determine i, given that 2*i**4 + 258*i**3 - 2654*i**2 - 23610*i - 20700 = 0.
-138, -5, -1, 15
Factor -2*a**3 - 170*a**2 - 1246*a - 1078.
-2*(a + 1)*(a + 7)*(a + 77)
Determine z, given that 3*z**2 - 389802*z - 389805 = 0.
-1, 129935
Factor -9*t**3/7 + 169080*t**2/7 - 450832*t/7 + 300544/7.
-(t - 18784)*(3*t - 4)**2/7
Determine j so that 6*j**4/7 + 778*j**3/7 + 1992*j**2/7 - 5112*j/7 - 4064/7 = 0.
-127, -4, -2/3, 2
Suppose -4*l**2 - 2318704*l - 336024264976 = 0. Calculate l.
-289838
Factor -4*i**5 + 308*i**4 - 2032*i**3 + 5120*i**2 - 5632*i + 2240.
-4*(i - 70)*(i - 2)**3*(i - 1)
Suppose 2*h**3 - 40*h**2 - 952*h = 0. What is h?
-14, 0, 34
Find d, given that -2*d**2/9 - 1792*d/3 - 1790 = 0.
-2685, -3
Suppose g**3/5 + 9459*g**2/5 + 4482135*g + 40186125 = 0. Calculate g.
-4725, -9
Determine t so that t**4/3 + 101*t**3/3 - 106*t**2 - 616*t/3 + 832/3 = 0.
-104, -2, 1, 4
Factor -v**2 + 167859*v - 167858.
-(v - 167858)*(v - 1)
Factor -k**2 - 11453*k - 45796.
-(k + 4)*(k + 11449)
Determine l so that -5*l**2 + 83435*l - 333660 = 0.
4, 16683
Factor -5*l**2 + 9545*l + 9550.
-5*(l - 1910)*(l + 1)
Factor 5*r**2 - 5450*r - 231855.
5*(r - 1131)*(r + 41)
Solve 4*c**4 - 1672*c**3 + 198004*c**2 - 4865520*c + 33872400 = 0 for c.
15, 194
Factor 3*t**3 - 3774*t**2 - 12*t + 15096.
3*(t - 1258)*(t - 2)*(t + 2)
Find u, given that u**5/4 + 30789*u**4/4 - 46189*u**3/2 - 15393*u**2 + 92374*u - 61584 = 0.
-30792, -2, 1, 2
Determine h so that -4*h**2 + 104936*h - 688222756 = 0.
13117
Solve 3*k**2 + 39606*k + 79200 = 0.
-13200, -2
Find f, given that f**4/8 + 3417*f**3/8 + 3415*f**2/8 - 3417*f/8 - 427 = 0.
-3416, -1, 1
Suppose 533*g**3/9 - 5339*g**2/9 + 10*g = 0. What is g?
0, 9/533, 10
Factor -25*d**2/2 - 435*d/2 + 135.
-5*(d + 18)*(5*d - 3)/2
Factor -5*a**3 + 8040*a**2 + 97020*a + 291600.
-5*(a - 1620)*(a + 6)**2
Suppose 2*f**5/7 + 418*f**4/7 - 8018*f**3/7 + 34838*f**2/7 - 27240*f/7 = 0. Calculate f.
-227, 0, 1, 5, 12
Factor 5*a**2 + 625*a + 9180.
5*(a + 17)*(a + 108)
Determine i, given that -4*i**4/3 + 2836*i**3/3 - 2828*i**2/3 - 2836*i/3 + 944 = 0.
-1, 1, 708
Factor -4*o**3 + 580*o**2 + 30848*o - 63984.
-4*(o - 186)*(o - 2)*(o + 43)
Factor 2*g**2/7 + 640*g/7 + 18432/7.
2*(g + 32)*(g + 288)/7
Factor 2*p**3/5 - 43008*p**2/5 + 231211008*p/5.
2*p*(p - 10752)**2/5
Factor -3*x**3 - 732*x**2 - 2157*x + 2892.
-3*(x - 1)*(x + 4)*(x + 241)
Factor 5*o**2 - 406250*o + 8251953125.
5*(o - 40625)**2
Factor 2*b**3 - 3334*b**2 + 1384430*b + 4183350.
2*(b - 835)**2*(b + 3)
Solve -3*d**4/2 - 1446*d**3 + 11625*d**2/2 + 4329*d - 26136 = 0 for d.
-968, -2, 3
Factor q**3 + 551*q**2 + 10720*q + 53100.
(q + 10)**2*(q + 531)
Determine z so that 2*z**3 - 1030*z**2 - 50400*z = 0.
-45, 0, 560
Determine u so that -150*u**4 + 58590*u**3 + 758433*u**2/2 + 754596*u + 868239/2 = 0.
-27/10, -1, 397
Factor 3*s**3 - 153006*s**2 + 1950749988*s + 3902112024.
3*(s - 25502)**2*(s + 2)
Suppose -t**4/8 + 53*t**3/8 - 153*t**2/8 + 151*t/8 - 25/4 = 0. What is t?
1, 50
Let y**2/6 + 253*y/6 + 6776/3 = 0. What is y?
-176, -77
Factor 5*a**4 + 320*a**3 - 6885*a**2.
5*a**2*(a - 17)*(a + 81)
Factor -2*v**3 - 3018*v**2 - 1445454*v - 212685254.
-2*(v + 283)*(v + 613)**2
Factor -a**4 - 417418*a**3 - 1252248*a**2 - 1252246*a - 417415.
-(a + 1)**3*(a + 417415)
Solve -2*r**3/13 + 476*r**2/13 - 2250*r + 8424 = 0 for r.
4, 117
Determine j so that -j**2/2 + 700*j - 20775/2 = 0.
15, 1385
Find l such that -4*l**2 + 1660*l - 100936 = 0.
74, 341
Factor -l**2/3 - 2239*l/3 + 4490.
-(l - 6)*(l + 2245)/3
Solve f**3/2 - 859*f**2/2 - 861*f = 0.
-2, 0, 861
Suppose -r**5/9 + 482*r**4/9 + 2944*r**3/9 - 7808*r**2/9 = 0. Calculate r.
-8, 0, 2, 488
Find s, given that -3*s**2 + 378*s + 61101 = 0.
-93, 219
Let -2*z**3/3 + 1292*z**2/3 - 39358*z/3 + 38068/3 = 0. Calculate z.
1, 31, 614
Find m, given that -m**3/9 + 977*m**2/9 = 0.
0, 977
Solve 3*a**2 + 440022*a + 16134946707 = 0 for a.
-73337
Determine z so that -3*z**3 + 12*z**2 + 26496*z = 0.
-92, 0, 96
Let -k**2/6 - 3581*k/6 + 597 = 0. Calculate k.
-3582, 1
Determine p, given that -2*p**3 + 804486*p**2 - 3217920*p + 3217912 = 0.
2, 402239
Let -4*p**2 + 46752*p - 136609344 = 0. What is p?
5844
Let 2*g**5/9 - 2*g**4/3 - 134*g**3/9 - 122*g**2/9 + 220*g/3 - 400/9 = 0. What is g?
-5, -4, 1, 10
Suppose -3*v**5 - 348*v**4 - 1665*v**3 = 0. Calculate v.
-111, -5, 0
Factor 3*j**3 + 1356*j**2 + 4029*j - 5388.
3*(j - 1)*(j + 4)*(j + 449)
Factor -y**3/6 + 242*y**2 - 1928*y + 11552/3.
-(y - 1444)*(y - 4)**2/6
Suppose 3*u**2 - 4395*u + 8778 = 0. Calculate u.
2, 1463
Let -20*i**5 + 560*i**4 - 3165*i**3 + 4585*i**2 + 3185*i - 5145 = 0. Calculate i.
-1, 1, 7/2, 21
Find f, given that -4*f**3 + 660*f**2 = 0.
0, 165
Find o, given that 2*o**4 + 1918*o**3 + 28416*o**2 + 90496*o - 120832 = 0.
-944, -8, 1
Find h, given that -2*h**4/7 + 2986*h**3/7 + 30062*h**2/7 - 2986*h/7 - 30060/7 = 0.
-10, -1, 1, 1503
Factor -13*b**4/2 - 113*b**3/2 + 417*b**2/2 - 443*b/2 + 76.
-(b - 1)**3*(13*b + 152)/2
Determine l so that 3*l**3/4 - 2361*l**2/2 + 32925*l/4 - 14103/2 = 0.
1, 6, 1567
Let 5*h**4 - 15710*h**3 + 12308745*h**2 + 49423660*h + 49486580 = 0. Calculate h.
-2, 1573
Factor 4*h**2 - 194048*h + 2353414144.
4*(h - 24256)**2
Solve -3*z**5 - 845*z**4 - 9529*z**3 - 21395*z**2 - 17568*z - 4860 = 0.
-270, -9, -1, -2/3
Let 2*l**5/7 + 898*l**4/7 - 7300*l**3/7 + 5564*l**2/7 + 5230*l + 22850/7 = 0. What is l?
-457, -1, 5
Factor -w**2/2 - 1547*w/2 + 56595.
-(w - 70)*(w + 1617)/2
Factor p**2/7 - 1723*p/7 - 54374/7.
(p - 1754)*(p + 31)/7
Let -18*k**5/5 - 49*k**4/5 + 39*k**3 - 10*k**2 = 0. What is k?
-5, 0, 5/18, 2
Determine j so that -j**5/3 + 131*j**4/3 + 577*j**3 - 2119*j**2/3 - 3718*j/3 = 0.
-13, -1, 0, 2, 143
Solve 6*b**2/5 - 1353*b + 10134/5 = 0 for b.
3/2, 1126
Solve -4*t**4 - 264*t**3 - 4284*t**2 - 10584*t = 0 for t.
-42, -21, -3, 0
Suppose 354025*o**2 - 6545*o + 121/4 = 0. Calculate o.
11/1190
Suppose -3*v**2 + 738402*v + 738405 = 0. What is v?
-1, 246135
Factor -3*r**3 + 2088*r**2 - 107844*r + 207360.
-3*(r - 640)*(r - 54)*(r - 2)
Suppose -5*s**3 + 1615*s**2 + 16545*s + 34965 = 0. What is s?
-7, -3, 333
Factor 3*p**2/5 - 87186*p/5 + 633449883/5.
3*(p - 14531)**2/5
Solve 249*s**5/5 + 492*s**4/5 - 759*s**3/5 - 1974*s**2/5 - 948*s/5 + 24/5 = 0 for s.
-2, -1, 2/83, 2
Factor -4*w**2 - 117828*w - 117824.
-4*(w + 1)*(w + 29456)
Suppose -3*m**3/5 + 22*m**2/5 + 353*m/5 - 24 = 0. Calculate m.
-8, 1/3, 15
Factor 3*b**4/5 - 306*b**3/5 + 11664*b**2/5 - 39366*b + 1240029/5.
3*(b - 27)**3*(b - 21)/5
Factor 4*x**3/3 - 2072*x**2/3 - 4884*x - 8400.
4*(x - 525)*(x + 3)*(x + 4)/3
Solve 3*t**3 + 687*t**2 - 19383*t + 129285 = 0.
-255, 13
Suppose -2*j**2/7 + 140520*j/7 - 2468233800/7 = 0. Calculate j.
35130
Determine y so that -4*y**2 - 2623344*y + 2623348 = 0.
-655837, 1
Determine o so that -8*o**2/7 - 14366*o/7 + 3592/7 = 0.
-1796, 1/4
Suppose -4*i**5 - 2357496*i**4 - 463146591656*i**3 - 30328845780244816*i**2 + 90989779402238604*i - 60660470473044632 = 0. What is i?
-196459, 1, 2
Factor -2*l**3 + 39318*l**2 - 193257798*l + 193218482.
-2*(l - 9829)**2*(l - 1)
Factor -3*q**3 - 24867*q**2 + 174270*q + 447984.
-3*(q - 9)*(q + 2)*(q + 8296)
Let 2737*v**3/3 - 2165*v**2 + 2066*v/3 - 16 = 0. Calculate v.
3/119, 8/23, 2
Let r**4 + 137*r**3 + 1270*r**2 = 0. What is r?
-127, -10, 0
Determine s so that s**5/7 + 261*s**4/7 + 18164*s**3/7 + 147936*s**2/7 + 45792*s + 27216 = 0.
-126, -6, -2, -1
Determine v so that -v**4/4 - 173*v**3/8 - 3373*v**2/8 + 6865*v/4 - 750 = 0.
-50, -40, 1/2, 3
Find d, given that 3*d**2 + 660*d - 3375 = 0.
-225, 5
Suppose -5*h**5 - 18575*h**4 - 22384680*h**3 - 7947075800*h**2 + 968481934000*h - 1904996190000 = 0. What is h?
-1270, 2, 93
Determine y, given that 7*y**4/5 - 52*y**3/5 - 1413*y**2/5 + 1458*y/5 = 0.
-81/7, 0, 1, 18
Determine n, given that -n**2 - 6832*n = 0.
-6832, 0
Factor 3*o**4 + 306*o**3 - 633*o**2 - 936*o.
3*o*(o - 3)*(o + 1)*(o + 104)
Find t such that 20595*t**2 + 288336*t + 84 = 0.
-14, -2/6865
Factor -3*d**2 - 432*d - 4020.
-3*(d + 10)*(d + 134)
Let 8*r**3 + 6500*r**2 - 16372*r - 58680 = 0. Calculate r.
-815, -2, 9/2
Solve 3*s**5/4 - 117*s**4/2 + 2277*s**3/2 + 174*s**2 - 132
|
{
"pile_set_name": "DM Mathematics"
}
|
ate -13 + 36*j**q + 30*j**4 - 45*j**4 wrt j.
84*j**3
What is the third derivative of 503*q**2 - 8*q**4 + 17551*q**3 - q**4 + 9*q**5 - 17551*q**3 wrt q?
540*q**2 - 216*q
Let m(a) = -a**3 - 2*a**2 - 2. Let d be m(-3). Suppose 2*o + 10 = d*o. Find the second derivative of 7*p**2 - 5*p - 12*p**o + p wrt p.
-10
Let y(o) = 9*o**6 - 2*o**5 - o**2 - 39. Let r(v) = 36*v**6 - 9*v**5 - 5*v**2 - 157. Let x(m) = -2*r(m) + 9*y(m). Find the third derivative of x(q) wrt q.
1080*q**3
Suppose -5*h + 3*h = 4*t + 2, 5*h = t + 17. Differentiate -h*a + 10 - 10*a - 7 wrt a.
-13
Let i(a) be the second derivative of -a**8/28 + 11*a**7/14 - 6*a**4 - 2*a - 21. Find the third derivative of i(j) wrt j.
-240*j**3 + 1980*j**2
Let l be 0 + (-6)/2 - (1 + -111). Differentiate 14*s**3 - 6*s**3 - 120 + l wrt s.
24*s**2
Suppose -3*a + 5*a - 20 = 0. Find the first derivative of 18 + a*o - o - 24 wrt o.
9
Let q(c) = -136*c**3 - 4*c**2 - 4*c + 46. Let i(g) = -137*g**3 - 6*g**2 - 6*g + 47. Let v(d) = 2*i(d) - 3*q(d). What is the first derivative of v(r) wrt r?
402*r**2
Let s(c) be the second derivative of 0 + 0*c**2 - 7/20*c**5 + 11*c + 0*c**4 + 7/3*c**3. Find the second derivative of s(r) wrt r.
-42*r
Differentiate 275 + 18*p**4 + 4*p - 23*p**4 + 9*p**4 with respect to p.
16*p**3 + 4
Let v(k) be the second derivative of 0*k**6 + 0*k**5 - k**3 + 13/42*k**7 - k + 0*k**2 + 0*k**4 + 0. What is the second derivative of v(a) wrt a?
260*a**3
Suppose -9 = 3*c + 4*v, 0 = 2*c - 5*v + 4*v + 6. Let f be ((-60)/(-8))/c*-2. Find the second derivative of x**f + 0*x**5 + 4*x - 6*x**5 wrt x.
-100*x**3
Suppose -23*w + 72 = w. Let l(u) be the second derivative of 1/6*u**4 + 0*u**3 + 0 + 1/2*u**2 + w*u. Differentiate l(i) with respect to i.
4*i
Let l(y) be the first derivative of -28*y**6/3 - 103*y**2/2 - 60. Find the second derivative of l(m) wrt m.
-1120*m**3
Let m(l) be the first derivative of 227*l**7/7 - 107*l**3/3 - 303. What is the third derivative of m(v) wrt v?
27240*v**3
Let a(x) = -31*x**3 + 9*x**2 - 10*x - 115. Let t(c) = -16*c**3 + 4*c**2 - 4*c - 57. Let b(h) = -2*a(h) + 5*t(h). Differentiate b(z) with respect to z.
-54*z**2 + 4*z
Let g(i) be the second derivative of i**8/420 + 11*i**4/24 + 4*i**3/3 - 2*i. Let r(w) be the second derivative of g(w). Differentiate r(m) wrt m.
16*m**3
Let h(f) = -3*f**2 + f + 2. Let v(t) = -589*t**2 - 107*t + 12. Let k(b) = -6*h(b) + v(b). Find the second derivative of k(l) wrt l.
-1142
Let d(s) = s - 3. Let t be d(13). Find the third derivative of -34*f**2 - 3*f**3 - 54 - t*f**4 + 0*f**3 + 54 wrt f.
-240*f - 18
Let p(t) = -3*t - 19. Let g(b) = b + 6. Let z(h) = -11*g(h) - 4*p(h). Let i(l) = l - 1. Let d(r) = -4*i(r) + z(r). What is the first derivative of d(m) wrt m?
-3
Let y(d) = 6*d**2 + 64*d - 20. Let v be y(-11). Let m(w) be the first derivative of 1/3*w**3 - 5/2*w**v + 0*w + 2. Find the second derivative of m(q) wrt q.
2
Let x(h) be the second derivative of 53*h**3/3 - 39*h**2 + 7*h + 6. Differentiate x(o) wrt o.
106
What is the first derivative of -31*p**3 - 41 + 316 + 82*p**3 + 5*p**3 - 2*p**4 wrt p?
-8*p**3 + 168*p**2
Let s = 52 + -46. Find the second derivative of -12*x + s*x**4 - x - 5*x**4 + 5*x**4 wrt x.
72*x**2
Let o(w) = -w**2 - w. Let u(n) = -183*n**3 + 61*n**2 + 61*n + 366. Let y(z) = -61*o(z) - u(z). Differentiate y(x) wrt x.
549*x**2
Let j(d) be the third derivative of -d**8/1344 + d**5/10 + 17*d**4/24 - 27*d**2. Let w(c) be the second derivative of j(c). Differentiate w(i) wrt i.
-15*i**2
Let g(h) be the first derivative of h**2 + 0*h + 0*h**4 + 0*h**3 + 0*h**5 - 9 + 8/3*h**6. What is the second derivative of g(p) wrt p?
320*p**3
Let h(d) be the second derivative of 0 + 2/3*d**4 + 0*d**7 + 9*d + 0*d**6 + 0*d**2 + 0*d**3 + 0*d**5 - 3/28*d**8. What is the third derivative of h(c) wrt c?
-720*c**3
Let r(a) be the second derivative of 3/7*a**7 + 0 + 0*a**5 - 6*a + 0*a**4 - 1/3*a**3 + 0*a**6 + 0*a**2. Find the second derivative of r(n) wrt n.
360*n**3
Let i be (-1 - 1)*(-2)/(-4). Let q(a) = -a - 1. Let p be q(i). Find the second derivative of p*s - 5*s**2 - 6*s - 2*s wrt s.
-10
Let l(k) be the first derivative of -3*k**6/40 + k**5/10 + 2*k**2 + 3. Let d(c) be the second derivative of l(c). What is the third derivative of d(a) wrt a?
-54
Find the third derivative of -1517*s**4 + 1517*s**4 + 4*s**2 - 8*s**2 + 69*s**6 wrt s.
8280*s**3
Let k(i) be the first derivative of 0*i**4 + 0*i + 0*i**2 + 0*i**5 + 0*i**6 + 7 + 34/3*i**3 + 5*i**7. What is the third derivative of k(y) wrt y?
4200*y**3
Suppose -3*v + 10 = -20. What is the second derivative of -v*h + 13*h**3 - 10*h - 7*h + 6*h wrt h?
78*h
Let z(m) be the first derivative of -m**5/5 + 4*m**4 - 30*m**3 - 2*m - 80. What is the third derivative of z(a) wrt a?
-24*a + 96
Let z(j) be the first derivative of 3*j**7/7 + 13*j**4/6 + 16*j + 19. Let c(n) be the first derivative of z(n). Find the third derivative of c(m) wrt m.
1080*m**2
Suppose 5*s = 3*w + 13, 2*s = w - 2*s + 16. Find the third derivative of 33*f**4 + 3*f**2 - 19*f**w + 6*f**2 wrt f.
336*f
Find the third derivative of 6*v - 18*v**4 + 15*v**4 - 7*v + 13*v**5 - 13*v**2 wrt v.
780*v**2 - 72*v
Let p(c) be the second derivative of -283*c**4/12 - 181*c**3/3 - 474*c. What is the second derivative of p(f) wrt f?
-566
Let r(p) be the first derivative of p**7/42 - 7*p**6/72 - 5*p**3 - 29. Let y(i) be the third derivative of r(i). What is the third derivative of y(k) wrt k?
120
Let c(k) be the second derivative of -k**5/10 - 229*k**4/12 - k**3/3 - 713*k**2/2 - 210*k - 1. Find the second derivative of c(g) wrt g.
-12*g - 458
Let i(v) = 4*v - 2. Suppose a - 3*h = -h + 11, 4*a + 21 = -5*h. Let f be i(a). What is the third derivative of -4*k**2 + k**2 - 5*k**f - 2*k**3 + 0*k**3 wrt k?
-12
Find the third derivative of -7*u**4 - 6*u**4 + 19*u**4 - 42*u**4 - 248*u**2 wrt u.
-864*u
Let h(a) = -2*a - 1. Let q(z) = -13*z - 8. Let s(l) = 20*h(l) + 4*q(l). Find the first derivative of s(v) wrt v.
-92
Suppose -3*u = -4*h - 45, 2*h - 5 = -u - 0. Suppose -5*q = -u - 14. What is the second derivative of q + 3*d**2 - 5 + 2*d**2 - 5*d wrt d?
10
What is the second derivative of 7 - 175*h**5 - 61*h - 177*h**5 - 76*h**5 - 14 + 3 + 2*h**2 wrt h?
-8560*h**3 + 4
Let h(f) = -f - 7. Let r be h(-10). Suppose -3*g = q + 2, -4*g - 29 = -r*q - 9. Find the second derivative of -2*b - b + q*b - 5*b**4 wrt b.
-60*b**2
Suppose 7 = -4*m - 73. Let v = -16 - m. What is the second derivative of 2*p + v*p + p + 9*p**2 wrt p?
18
Let t(v) = 134*v**2 + 8. Let a(x) = 2*x**2 + x + 1. Let q(r) = 4*a(r) - t(r). What is the second derivative of q(p) wrt p?
-252
Let d(t) be the third derivative of -29*t**4/12 - 9*t**3/2 + 7*t**2 - 2. Find the first derivative of d(g) wrt g.
-58
Let i(m) be the first derivative of m**2/2 - 12*m - 5. Let a be i(14). What is the derivative of -r - 8*r - a - 1 + 4*r wrt r?
-5
Let j(f) = -f**2 + 26. Let o(y) = -y**2 - 1. Let i = 22 - 21. Let c(u) = i*j(u) + 2*o(u). What is the derivative of c(s) wrt s?
-6*s
Let g(c) be the third derivative of -209*c**6/40 + c**5/30 - 58*c**3/3 + 82*c**2. Find the third derivative of g(n) wrt n.
-3762
Let v(d) be the third derivative of 44*d**7/105 - 19*d**3/2 + 2*d**2 + 53. Differentiate v(m) wrt m.
352*m**3
Find the third derivative of -2102414*i - 2*i**5 + 86*i**2 - 102*i**4 + 2102414*i wrt i.
-120*i**2 - 2448*i
What is the third derivative of 109*m**3 - 9*m**2 - 191566*m + 2*m**3 + 191564*m wrt m?
666
Find the third derivative of 228*x**2 - x**3 - 789*x**4 + 1570*x**4 - 791*x**4 wrt x.
-240*x - 6
Let s be (14/10)/((-1)/(-5)). Suppose -s = -5*z + 63. What is the first derivative of -15 + 24 - 11*a**3 - z wrt a?
-33*a**2
Let z = -82 - -82. Let u(l) be the second derivative of -1/2*l**2 + 4*l + 1/6*l**6 + 0 + 0*l**4 + z*l**3 + 0*l**5. What is the derivative of u(a) wrt a?
20*a**3
Let r(v) be the third derivative of -19*v**7/210 + 47*v**4/12 + 4*v**2. What is the second derivative of r(o) wrt o?
-228*o**2
Find the first derivative of -12*r**3 + 6*r**3 - 148 - 52*r**3 + 2*r**2 - 12*r**3 - 12*r**3 wrt r.
-246*r**2 + 4*r
Find the first derivative of -51*m**4 + 135*m**4 + 53*m**4 + 168 - 28*m**4 wrt m.
436*m**3
Let m be 2*(-4)/12*-3. Find the first derivative of g**2 + 2 + g**m + 12 - 4*g**2 wrt g.
-4*g
Let g(q) = q**3 + q**2 - q + 5. L
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*i**2 + 13*i - 10. Let z(d) = -4*u(d) - 7*y(d). Calculate z(8).
-2
Let r = -11 + 18. Let v(d) = -9*d**3 + 3 - 8*d + 11*d**3 - 6*d**2 - d**3. What is v(r)?
-4
Let r(z) = 3*z + 1. Let k be (-8)/(-100) - (-992)/100. Determine r(k).
31
Let d(n) = -n**2 - 5*n + 12. Let u be d(-6). Let r(k) = k - 7. Let i be r(u). Let s(p) = -11*p**2 - 1. Determine s(i).
-12
Let k be (-6)/(-9)*(-3)/2. Let j be (1/2)/(k/6). Let z(n) = 8*n + 2. Let l(v) = -v. Let u(x) = 4*l(x) + z(x). What is u(j)?
-10
Suppose 3*o - 3*w - 15 = 0, 0 = -6*o + 2*o - w + 15. Let r(k) = -6*k**3 + 2*k**3 + 3*k**3 - 2*k + 0*k**3 - 1 + 5*k**2. Calculate r(o).
7
Let z = -13 + 16. Let f(u) = 5 + u**2 - 3*u - 7 - z - 4*u. Calculate f(8).
3
Let z(i) = 733*i - 733*i - 26*i**2. Determine z(1).
-26
Let l(j) = 6*j**2 - 6*j - 5. Let q(m) = -m**3 + 5*m**2 + 5*m + 5. Let w be q(6). Let y be l(w). Let s(o) = o**2 - 7*o + 6. Determine s(y).
6
Let k(n) = n**3 - n**2. Let g be (-1)/((-2 + 1)*1). Suppose -13*i = -12*i + 5. Let r(q) = 6*q**3 - 11*q**2 - 3. Let u(o) = g*r(o) + i*k(o). Calculate u(6).
-3
Suppose -3*t + 30 = 2*t. Let a(m) = 6*m**2 + m - 1. Let o(i) = -29*i**2 - 13*i + 12. Let r(p) = -5*a(p) - o(p). What is r(t)?
5
Let t(s) = s. Let p(a) = -a. Let w(x) = -5*p(x) + t(x). Calculate w(1).
6
Suppose -81 = -3*k - 4*t - 20, -57 = -3*k - 3*t. Suppose -k*n + 3*n + 0*n = 0. Let b(x) = -x**2 - x - 16. Determine b(n).
-16
Let i(c) = -3*c + 25. Let g(s) = -12*s + 107. Let j(q) = -2*g(q) + 9*i(q). What is j(11)?
-22
Let k(z) = z**2 - 7*z + 5. Let o be k(6). Let n = 6 + o. Let w(t) = -30*t**2 + 0*t - 3*t + 31*t**2 + 0*t. What is w(n)?
10
Let b(h) = -3*h - 1. Let a be b(-3). Let u = a + -6. Let l(x) = -3*x - 2 - 1 + 8*x - 3*x. Give l(u).
1
Let x = 16 + -10. Suppose 0 = -4*j + x*j - 6. Let f(s) = -s**2 + 7*s - 1. Let r(u) = -u**2 + 9*u - 2. Let z(g) = 3*f(g) - 2*r(g). Determine z(j).
1
Let x(y) = -y**2 - 12*y - 19. Let q be (-6)/4*(-1184)/(-222). Calculate x(q).
13
Suppose 48*b + 3*b + 561 = 0. Let d(l) = -l**3 - 12*l**2 - 11*l + 6. Give d(b).
6
Let k(m) = -m**3 + 3*m - 2. Let l be (-10)/25 + (-51)/(-15). Determine k(l).
-20
Suppose 2*v + 145 = -3*q, 5*v - 5*q + 79 = 4*v. Let r = 80 + v. Let s(g) = -g**2 + 7*g + 4. Calculate s(r).
10
Let m(c) = -c**3 + 6*c**2 - c + 2. Let t = 85 + -47. Suppose -3*k = -3*p + 30, k + k + t = 5*p. What is m(p)?
-4
Let k be 4 + (-2 - (-20)/8)*0. Let w(a) = a**2 - k - 7*a + 18*a + 2 - 6. Calculate w(-12).
4
Let g(d) be the first derivative of -1/2*d**2 + 1/3*d**3 - 12 + d. Give g(1).
1
Let f(a) be the third derivative of a**4/8 + 67*a**3/6 + 21*a**2 - 7. Determine f(-25).
-8
Let k(u) be the first derivative of u**3/3 - 17*u**2/2 - 22*u - 164. Give k(17).
-22
Let t(q) = 10*q**2 + 10*q - 1. Let m(j) = 12*j**2 + 12*j - 2. Let u(h) = -4*m(h) + 5*t(h). Suppose 4*c - 3*p = p - 28, -c - p + 3 = 0. What is u(c)?
7
Let p(r) = -5. Let h(v) = -v**2 + 10*v - 22. Let s(y) = -h(y) + 2*p(y). Suppose 28 = 2*l + 10. Give s(l).
3
Let t(v) = -1 + 3*v**2 - 1 - 2*v**2 - v - 6*v. Suppose -j + 439 - 432 = 0. What is t(j)?
-2
Let d be -4 + 15/5 - -1. Let c(l) = -l**2 - 10. Calculate c(d).
-10
Suppose 2*d = -0*d. Let u(v) = -v**3 + v**2 + v + 2. Let t be u(d). Let h(o) = 12*o**3 - 2 + o - o**t - 28*o**3 + 17*o**3 - o**2. Determine h(2).
0
Let p = -12 + 18. Suppose 0 = -p*i + 11*i - 10. Let r(k) = 11*k - 19*k + 3 + 1 + k**i + 9*k. What is r(0)?
4
Suppose 1 = l + 5. Let d(u) = -u**3 - 11*u**2 + 5*u + 4. Let b(r) = -4*r**3 - 48*r**2 + 20*r + 16. Let w(t) = -2*b(t) + 9*d(t). What is w(l)?
0
Let i(h) = 11*h**3 + 2*h**2 - 2*h. Let u be i(1). Let o(q) = -q**2 + 11*q - 8. Give o(u).
-8
Let h(w) = -w**2 + w + 1. Let b(t) be the first derivative of -3*t**2 + 5*t - 140. Let z be ((-8)/6)/((-6)/9). Let k(m) = z*h(m) - b(m). Calculate k(5).
-13
Let v(f) = -3*f**3 - 32*f**2 + 8*f - 50. Let r(z) = 4*z**3 + 42*z**2 - 11*z + 66. Let i(u) = 7*r(u) + 9*v(u). Give i(-7).
-2
Let q(a) = 3. Let f(s) = -8*s - 12. Let m(p) = f(p) + 5*q(p). Calculate m(3).
-21
Let c be 27*(4 + 11/(-3)). Let a(k) = k**3 - 4*k**2 + 3*k - 8. Let h(g) = g**2 - g. Let r(n) = -a(n) + 6*h(n). Calculate r(c).
8
Let a(i) be the first derivative of i**2/2 + i - 1. Suppose r + 16 = -3*r. What is a(r)?
-3
Let g be -17 + 5*(-18)/(-10). Let z(x) be the second derivative of -x**3/6 - 7*x**2/2 + x. Give z(g).
1
Let n(l) = -7*l - 10. Let g(y) = 10*y + 16. Let u(i) = 5*g(i) + 7*n(i). Give u(-6).
4
Let f be ((-10)/4)/((-16)/(-32)). Let a(o) = -o + 1. Let g(u) = -u**2 + 12*u - 10. Let w(p) = f*a(p) - g(p). Give w(7).
5
Let s(d) = -6*d - 1. Let y be s(-1). Let w(v) = -v + 0 - y + 0. Let c(b) = -b**2 + 7*b + 116. Let u be c(-8). Calculate w(u).
-1
Let s(c) = 2*c - 4. Let h(u) = -6*u + 13. Let g(t) = 2*h(t) + 7*s(t). Suppose 3*p = -47 + 2. Let d be 1/((p/(-6))/(-5)). What is g(d)?
-6
Suppose 0 = -38*v + 51 - 317. Let b(m) = -m**3 - 8*m**2 - 8*m - 2. Determine b(v).
5
Let g = 37 + -36. Let d(s) be the first derivative of -5*s**2 - 2*s + 5. Let o(b) = -20*b - 3. Let i(w) = -5*d(w) + 3*o(w). Give i(g).
-9
Let o(c) = -3*c + 7. Let w(b) = -1. Suppose 0 = 4*j + a - 15, 3*j - 9 = -4*a + a. Let n(p) = j*w(p) + o(p). Suppose 9 = 3*v + 3. Determine n(v).
-3
Suppose -23*f - 50 + 142 = 0. Let d(h) = -h**3 + 3*h**2 - 5*h + 2. Determine d(f).
-34
Let t(y) = -y**3 - 4*y**2 + 11*y - 6. Suppose u - 4*c - 2 = -12, -u + 3*c = 9. Give t(u).
0
Let u(a) = -a + 1. Let k be u(1). Let t(v) = -8*v - 94. Let x be t(-12). Let z be k/(3 - x/1). Let w(l) = -l**3 - l**2 + l + 14. Give w(z).
14
Let d(c) be the second derivative of c**6/360 + c**5/24 + 5*c**4/24 + 41*c**3/6 + 22*c. Let h(t) be the second derivative of d(t). Determine h(-5).
5
Let z(i) = -19*i - 15*i + 6 + 44*i - 13*i. Give z(-3).
15
Let i be ((-24)/10)/((-14)/(-70)). Let n = i - -176. Let b(f) = -2*f**2 - 170*f + 3*f**2 + n*f. Determine b(6).
0
Let v(a) be the second derivative of -a**7/2520 + 7*a**6/720 - a**5/120 + a**4/3 - 8*a. Let x(n) be the third derivative of v(n). Calculate x(6).
5
Let o = -8 + 16. Let u(g) = -o*g + g**3 - 8 + 14*g - 10*g**2 - 5*g. Determine u(10).
2
Let t = 20 + -13. Let o be ((-2)/(-1))/(-2)*t. Let f(v) = v**3 + 8*v**2 + 6*v - 9. Give f(o).
-2
Let z(s) = 3*s**2 + 5*s - 5. Suppose 0 = -19*j - 13*j + 32. Calculate z(j).
3
Let h(y) = -y**3 - 8*y**2 + 5*y - 10. Let b(i) = -i**3 - 10*i**2 + 6*i - 12. Let a(j) = -4*b(j) + 5*h(j). What is a(2)?
-8
Let n(k) = k**2 + 5*k - 6. Let w = 35 + -30. Suppose 2*i + 115 = -2*i - w*u, -4*i = 3*u + 125. Let z = i - -29. Give n(z).
0
Let p be 38/((-2*3)/3). Let x = p - -26. Let t(g) = g - 10. Give t(x).
-3
Let x(y) be the third derivative of y**4/12 + 5*y**3/6 + y**2. Suppose -219*v + 193*v - 156 = 0. Determine x(v).
-7
Let z(k) = k + 1. Suppose 4*l = 2*w + 32, -26 = -4*l + 3*w + 2*w. Let o = 139 + -149. Let a = l + o. Determine z(a).
0
Let z(q) be the first derivative of 7*q**2/2 - 4*q - 30. Let l(j) = -j. Let c(k) = 6*l(k) + z(k). Let b(d) = 3*d - 3. Let y be b(2). Give c(y).
-1
Let r(b) = -b**2 - b - 2. Let p(l) = -8*l**2 + 7*l - 7. Let f(h) = -p(h) + r(h). Let w(v) = -4*v**2 + 4*v - 2. Let q(g) = 3*f(g) + 5*w(g). Calculate q(4).
5
Let m(s) = 7*s**2 + 11*s - 14. Let y(x) = -4*x**2 - 4*x + 7. Let l(f) = 3*m(f) + 5*y(f). Give l(-13).
-7
Let b(l) = 14*l**2 - 9*l - 1. Let g(n) = 2*n**2 + 1. Let o(d) = b(d) - 6*g(d). Determine o(5).
-2
Suppose 0 = 2*p + 3 - 11. Let f(m) = -m**2 - m + 5. Calculate f(p).
-15
Let h(m) = 3 - 555*m**3 + 556*m**3 - m**2 + 7. Let t = -9 - -11. Suppose 0 = -t*i - i. Give h(i).
10
Let a(f) = -f**3 + 2*f**2 + 2*f + 2. Let i be a(3). Let j be i - 2*(-2)/4. Let z(d) be the first derivative of d**4/4 + d**2/2 - 8*d + 1. Calculate z(j).
-8
Let p(f) be the third derivative of f**5/20 + f**4/8 - f**3/2 - 230*f**2. What is p(-3)?
15
Let z = 0 - -14. Let k(y) = 12*y**2 + 37*y + 11. Let q be k(-3). Suppose -4*i + m + z = 0, -q = i - 5*m - 2. Let j(l) = l**2 - 3*l + 2. Determine j(i).
6
Let m be 46/6 + 1 - (-26)/78. Let j(x) = -7 - 3 - 6*x + m. Calculate j(-2).
11
Suppose 2*t = -k + 5, -5*t + 4*k = -16 - 3. Let b(z) = 2*z - 1 + 4*z - t*z - 4*z. Let j = 1 + -4. Determine b(j).
2
Let x be 2387/(-775) - 4/(-50). Let f(b) = 2*b**2 + 4*b. What is f(x)?
6
Suppose -2*u - 22 = r, 3*u - 3*r = u - 14. Let h(l) = -l - 6. Determine h(u).
4
Let f(z) = 3*z**2 + 18*z + 24. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
31*y**2 - 97 - 73*y**2 as t*y**3 + g + n*y + f*y**2 and give t.
19
Express (-3 + 1 + 4)*(0*p - 2*p + 3*p) - 1 + 1 + 2*p + (27*p - 11*p + 16*p)*(-21 + 34 - 26) in the form a*p + u and give a.
-412
Rearrange 879*f**3 + 4948 + 4*f - 2488 - 2460 to p + c*f**2 + t*f**3 + q*f and give q.
4
Rearrange (-z**2 - 3*z + 3*z)*(1 - 1 + z**2) + (72*z**2 - 72*z**2 + 9*z**3)*(76*z - 18*z - 23*z) to the form w*z**3 + j*z**2 + s*z + x*z**4 + g and give x.
314
Rearrange 2 - 12*r**3 - 28220*r + r**4 + 0 + 28226*r to the form l*r**4 + a*r + s*r**3 + u*r**2 + o and give l.
1
Express (-2*s**2 + 2*s**2 - s**2)*(-16 - 43 - 17)*(1 - 1 - 2)*(3 + 2 - 4)*(-160*s - 130*s + 8*s) as x*s + g*s**3 + h*s**2 + w and give g.
42864
Rearrange (-h - 7*h + 0*h)*(-9 + 18 + 1)*(-1007 + 520 + 561 + 1 + 3 - 2 + (-3 + 2 + 2)*(-3 + 0 + 2)) to the form d + y*h and give y.
-6000
Express 57877692 - 57877692 + 25267*f in the form b*f + x and give x.
0
Rearrange 109 - 2*y - 71*y**3 - 106 + y + y to the form u*y**3 + o*y**2 + j*y + i and give u.
-71
Express i**2 + i**2 + 20 + i**2 - 8*i**2 + 22*i**4 + 6*i**4 in the form m*i**4 + f*i**3 + r*i + j*i**2 + a and give j.
-5
Rearrange ((-2 + 3 - 2)*(3*x + 4*x - 5*x) - 36*x + 202 - 409 + 206)*(0 - 1 - 1)*(-84*x - 9*x + 31*x)*(1 - 4 + 2) to the form f + t*x + i*x**2 and give i.
4712
Express (5411 - 243 + 986)*(2*f - 2*f - 2*f) as v + t*f and give t.
-12308
Rearrange 73 + v**2 + 10*v**2 - 55 + 117 + 6*v**2 to s*v + q*v**2 + z and give s.
0
Express 97*g**2 + 148*g**2 - 1061*g**2 as v + x*g + c*g**2 and give c.
-816
Express 121*a + 513*a - 90*a in the form y + l*a and give l.
544
Rearrange (3 + 14 + 32 - 3 + 4 + 0 - 6 + 1 + 3 + (-1 - 1 + 3)*(3 + 1 - 5) + 2 - 1 + 0)*(-11*w + 11*w + 4*w**2) to the form l*w + z*w**2 + d and give z.
192
Express -99*p + 1704*p + 2101*p as i*p + q and give i.
3706
Rearrange -30 - 115*k**2 + 35 - 1170*k**2 to the form x + i*k + j*k**2 and give x.
5
Express 0*q + q + q + (743 - 490 - 413)*(-3*q - 2*q + 3*q + (-4 - 6 + 8)*(-5*q + q + 2*q) + 0 - q + 0) in the form v + h*q and give h.
-158
Rearrange -2*x**4 - 250 - 242 + 4*x**2 - 250 + 791 to the form i + p*x**2 + u*x + y*x**3 + b*x**4 and give b.
-2
Express (-4384*c**3 + 6 - 711*c**3 - 29 + 15 + 8)*(15*c - 10*c - 12*c) as v*c**4 + s*c**2 + i*c + u*c**3 + m and give s.
0
Express (1 + 0 + 0)*(1 + 2*c - 1) - 102 - 54*c + 13*c + 100 + (57 + 145 + 164)*(c + 2*c - 4*c) as a + x*c and give x.
-405
Rearrange -229*s**2 - 291*s**2 - 768*s**2 + 1 - 1 - 2 to the form x*s + p + j*s**2 and give j.
-1288
Express (2*z + z**3 - 2*z)*(2*z - 3*z + 4*z) + (55 - 55 - 86*z)*(-5*z**3 - 222*z**2 + 222*z**2) as a*z**4 + r + p*z**3 + g*z + c*z**2 and give a.
433
Rearrange 1495 - 1495 + 59*c + (-4 + 4 - c)*(-3 + 6 - 1) - 8*c + 26*c - 4 - 5*c to i + n*c and give i.
-4
Rearrange (-11*b - 68*b + 3*b + (-23*b - 17*b + 19*b)*(-5 + 2 + 2))*(2*b - 1 + 1) to the form v*b + f*b**2 + p and give f.
-110
Express -92 + 2*w**3 + 4*w + 3*w**3 + 2*w**3 + 93 + 13*w**3 in the form c*w**2 + u + p*w + f*w**3 and give u.
1
Rearrange -105*w**3 - 4*w + 707*w**2 + 326 - 326 + 103*w**3 + 7*w to the form c*w**3 + i + m*w**2 + j*w and give j.
3
Express 1074 - 2838 + 1141 - 2*i as p + u*i and give u.
-2
Express -f - 2*f**2 + f + (9*f + 40*f - 3*f)*(-68*f + 40*f + 31*f) as a*f**2 + g*f + c and give a.
136
Express -456*p**2 + 452*p**2 - 1021*p + 6195*p as u*p + w*p**2 + b and give u.
5174
Express (-4 + 2*t**2 + 4 + (9 - 3*t - 9)*(2 - 2*t - 2) - 18*t**2 - 10*t**2 + 21*t**2)*(-16*t - 1 + 1) in the form r*t**3 + g*t + p*t**2 + v and give r.
-16
Rearrange -3*g + 11*g**2 + 2*g**4 + 2*g + 2*g**3 - 7*g**2 - 1 - 30*g**2 + 7*g**3 to the form s*g**2 + c*g**3 + y*g**4 + w + f*g and give f.
-1
Express (-1 + 6*n + 1)*(9135 - 9135 - 688*n)*(0*n - 3*n + 5*n) as c*n**2 + s*n**3 + o*n + a and give s.
-8256
Express 4973*u**3 + 0 + 8*u + 2 - u**4 - 4959*u**3 as o + x*u**2 + n*u + m*u**3 + z*u**4 and give o.
2
Rearrange -252754*y + 53 + 252710*y + 40 to the form p + w*y and give w.
-44
Express (-3 + s**2 + 3)*(-4*s - 2*s**2 + 4*s) - 14516011 + 14516011 - 11077*s**4 - 2 + 2 + 2*s**4 as l + y*s + f*s**2 + t*s**4 + x*s**3 and give t.
-11077
Express -36*n + 15*n + 0 - 1 + 23*n**2 + 48*n**2 as v*n + s*n**2 + k and give k.
-1
Express -651*v**2 + 3*v - 1 + 4*v**3 - v + 305*v**2 + 253*v**2 + 8*v**3 in the form n*v**3 + b*v**2 + d*v + s and give s.
-1
Rearrange -1907*t**3 + 958*t**3 - 2*t + 953*t**3 + 6 - 2 - 2*t**2 to a*t**3 + p*t**2 + v*t + r and give a.
4
Express 61 + 4289*q**2 + 1996*q**2 - 61 - 1614*q**2 in the form i*q**2 + x + o*q and give i.
4671
Rearrange -98709*f**2 + f**3 + 33*f + 98698*f**2 - f**3 + 2*f**3 to the form i*f + j*f**2 + w*f**3 + z and give j.
-11
Express (-2 + 1 + 2)*(-5596 + 1026*m + 5596) as b + k*m and give k.
1026
Express -4 + 145316*c**4 + 4*c - 4*c - 145403*c**4 + 2*c**3 + 2*c**2 as m*c**2 + d*c + j + s*c**4 + r*c**3 and give s.
-87
Express 7917*j - 13445*j - 7010*j - 15498*j - 1802*j as b*j + f and give b.
-29838
Rearrange -3*v + 4*v - 49670 + 8*v**2 + 6*v**4 - 2*v + 49672 + 5*v**2 to the form t*v + j + z*v**3 + s*v**2 + i*v**4 and give s.
13
Rearrange (1 + 2*i - 1)*(287*i + 1 + 789*i - 264*i + 1480*i) to the form s*i + w + q*i**2 and give q.
4584
Rearrange -1425*r + 1 + 707*r + 5*r**2 - 3 + 715*r - 6*r**3 to m + l*r**2 + v*r + n*r**3 and give v.
-3
Rearrange -1865 + 3724 - 1847 - 8*z**2 to u + w*z**2 + y*z and give w.
-8
Express (-14 + 6 - 7)*(131*w + 28 + 29 - 59) as f*w + r and give f.
-1965
Rearrange (-955 + 564 + 701)*(6*u + 1 - 1) - 2 + 2 + u to the form o + n*u and give n.
1861
Rearrange 36123*p + 5850533 - 5850533 to the form o + l*p and give l.
36123
Rearrange 2952*f**2 - 212*f**2 - 2 + 2 + 2322*f**2 to d*f + t + o*f**2 and give o.
5062
Rearrange -1426 + 700 + 726 - 26474*t**2 to l*t**2 + n + o*t and give l.
-26474
Rearrange (w**2 + w**2 - 3*w**2)*(3961 + 1673 + 4841 + 342 - 1551)*(-5*w + 0*w + 2*w) to g + q*w**3 + h*w + i*w**2 and give q.
27798
Express -17*d**2 - 9*d**2 - 498*d + 23*d**2 + 4*d**2 in the form l*d**2 + z*d + x and give l.
1
Express 11*c**3 + 146*c - 3 - 126*c - 7*c**3 + (1 - 3 - 2)*(-2*c**3 + 4*c**3 - 3*c**3) as p*c**3 + m*c**2 + s + t*c and give s.
-3
Rearrange -64*n**3 + 657 + 14*n + 66*n**3 - 664 - n**2 to z*n**2 + d + y*n**3 + i*n and give y.
2
Express -16154 + 227*v + 16154 + (-4 - v + 4)*(1 - 2 + 2) in the form w + f*v and give f.
226
Rearrange 1241*w - 2 - 677*w + 3*w**4 - 687*w - 4*w**4 - w**3 to the form n*w**3 + x*w**4 + v*w + h + g*w**2 and give v.
-123
Express (-b + 2*b + b)*(5753*b**3 + 3431*b**3 + 3768*b**3) in the form g*b**2 + a*b + u*b**4 + v + q*b**3 and give q.
0
Express -2626*z - 5510 + 5510 in the form m*z + i and give i.
0
Express 2 + 1 + 41*y - 115*y**2 - 103*y**2 + 212*y**2 + 0 in the form a*y**2 + f*y + t and give a.
-6
Rearrange (-3*a + 3 - 3)*(10907*a + 18500*a + 1076 - 1076) to the form l*a + n + x*a**2 and give x.
-88221
Rearrange (-i - 63 + 3*i + 62)*((2 + 0 + 0)*(-3 + 0 + 1) + 3 + 4 - 6)*(79*i**2 - 1042*i + 1042*i) to the form o*i + w*i**3 + a*i**2 + z and give a.
237
Rearrange -4*i**3 + 24 + 4 + 3*i**2 - 2*i**4 + 30*i - 31 + 3*i**3 to t + y*i**2 + d*i + l*i**4 + v*i**3 and give l.
-2
Rearrange 7 - 19 - 4*x**2 + 2*x**4 + x - 44 + 2*x**3 + 28 to the form i + f*x**4 + o*x + n*x**2 + s*x**3 and give i.
-28
Rearrange -5*v - 6*v - 2*v + (0*v + 0*v + v)*(-1 - 1 + 0) + 339 - 151*v + 293*v - 141*v to the form q*v + z and give q.
-14
Express 23*c**3 - 72*c**3 + 24*c**3 + 11*c**3 + (23 + 37 + 2)*(-6*c**3 + 3*c**3 + 2*c**3) in the form f + i*c + p*c**2 + k*c**3 and give k.
-76
Rearrange (-69*v**2 + 1153*v**2 + 3366*v**2)*(8 - 3*v**2 - v - 6 + 2*v**2) to the form j*v + m*v**3 + x*v**4 + y*v**2 + a and give x.
-4450
Express (-35*g - 15*g + 25*g)*(39 - 695 + 981 + 808 + 1282) in the form w*g + s and give s.
0
Express -249*s + 3 + 439*s**2 + 249*s + 417*s**2 + 377*s**2 in the form u + n*s**2 + k*s and give u.
3
Express 10705 + 10698 - 21405 + 626*s as n*s + l and give n.
626
Express 5*h**4 + 72 - h - 24 - h**3 + 2*h**2 - 5 - 18 as i*h**3 + s*h + c + v*h**4 + t*h**2 and give i.
-1
Rearrange -3*v**3 + v**2 + 46*v + 4*v**3 + 98*v**2 - 46*v to b + a*v**3 + h*v**2 + n*v and give a.
1
Express -5*l - 4 + 6*l + 2*l**2 - l**3 + 1 + (-1457 + 254 + 62)*(-l + 3*l**3 + l) in the form r*l**3 + t + a*l**2
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*c**2. Let h(q) be the first derivative of -97*q**3 + 2080. What is v(h(t))?
169362*t**4
Let u(p) = -241684*p + 3. Let w(j) = -2*j. Determine u(w(l)).
483368*l + 3
Let p(k) = -5*k**2. Let v(l) = -10471582*l + 1. Calculate v(p(u)).
52357910*u**2 + 1
Let l(h) = 9 + 15 - 2*h - 42 + 18. Let a(q) = -445*q. Give l(a(v)).
890*v
Let t(n) be the second derivative of -7*n**4/12 - n**3 - 6*n**2 - 37*n. Let u(v) = v**2 + v + 2. Let b(r) = t(r) + 6*u(r). Let j(i) = -97*i. Give j(b(k)).
97*k**2
Let u(t) be the third derivative of -19*t**4/24 + 2*t**3/3 + 12*t**2 - 119*t. Let h(g) = -7*g. Determine h(u(v)).
133*v - 28
Let k be 90241/639 + 2/(-9). Let u be (-2165)/(-15) + (-4)/(-6). Let x(t) = k + u + 4*t - 286. Let b(v) = v**2. Determine b(x(g)).
16*g**2
Let q(f) be the first derivative of -3*f**3 + 10056. Let u(z) = 2*z - 3*z - 6*z**2 + z. What is u(q(b))?
-486*b**4
Let g(n) = 2*n**2 + 3. Let u(y) be the third derivative of 0 + 2*y - 1/20*y**5 + 0*y**4 + 0*y**3 - 96*y**2. Give u(g(z)).
-12*z**4 - 36*z**2 - 27
Let o(p) = 9*p - 185. Let h(g) = 22*g - 444. Let b(u) = -5*h(u) + 12*o(u). Let f(s) = -20*s - 14. What is b(f(v))?
40*v + 28
Let g(j) be the third derivative of 0*j + 0 - 1/6*j**4 - 2*j**2 + 0*j**3. Let m(t) be the third derivative of -t**5/20 - 12263*t**2. Determine g(m(p)).
12*p**2
Let r(k) be the third derivative of k**8/20160 - k**5/30 + 5*k**4/24 - k**2 - 97. Let v(y) be the third derivative of r(y). Let d(g) = -70*g. What is v(d(n))?
4900*n**2
Let o(b) = -2077*b. Let l(z) = 5*z**2 + 474. Determine l(o(f)).
21569645*f**2 + 474
Let g(h) be the third derivative of -5*h**4/24 - 377*h**3/3 + 4*h**2 - 29. Let c(b) = -b. Calculate c(g(m)).
5*m + 754
Let t(o) = 92*o - 84. Let w(c) = 180*c - 154. Let m(q) = 11*t(q) - 6*w(q). Let z(n) = -n + 3*n + n. Calculate m(z(u)).
-204*u
Let g(h) = -3*h. Let r(b) = 3*b**2 - 1114*b + 275. Give r(g(y)).
27*y**2 + 3342*y + 275
Let w(h) = 89 - 13*h - 89. Suppose -3*y = y - 2*k - 16, -2*k = 2*y + 4. Let c(o) = 5*o**y - o**2 - 2*o**2. What is c(w(s))?
338*s**2
Let s(l) = -120*l. Let h(t) = 74*t**2 + 56*t + 63. Let a(w) = -73*w**2 - 48*w - 54. Let x(g) = -7*a(g) - 6*h(g). What is s(x(q))?
-8040*q**2
Let q(l) = 37164355*l - 37164355*l + 3391*l**2. Let n(v) = -3*v. Give n(q(h)).
-10173*h**2
Let c(n) = -2720*n**2 - 3*n + 34. Let x(h) = 36*h. Give x(c(w)).
-97920*w**2 - 108*w + 1224
Let x(d) = -14*d + 3*d**2 - 15*d - 8*d + 37*d. Let h(p) = -70*p + 12. Let i(w) = -910*w + 154. Let z(g) = -77*h(g) + 6*i(g). What is x(z(u))?
14700*u**2
Let q(n) = 296*n - 3619. Let t(b) = 36*b**2 - 1. Determine q(t(h)).
10656*h**2 - 3915
Let x(q) be the third derivative of -q**4/12 - q**2. Let p = -227 + 229. Let u(d) = 0 - 333*d**2 + 2 + 331*d**p. What is u(x(a))?
-8*a**2 + 2
Let g(t) be the second derivative of 11*t**4/12 - t + 327. Let z(v) = -39*v + 6. Let f(p) = -2*p + 1. Let w(n) = -6*f(n) + z(n). What is w(g(b))?
-297*b**2
Let i(d) = 8*d**2 + 8*d + 4. Let l(j) = -7*j**2 - 6*j - 3. Let z = -285 - -288. Let c(s) = z*i(s) + 4*l(s). Let x(m) = 29*m. Determine c(x(u)).
-3364*u**2
Let p(d) be the third derivative of d**5/60 - 191*d**2 - 2. Let n(c) be the third derivative of -13/24*c**4 + 0 + 0*c**3 - c**2 + 0*c. Give p(n(j)).
169*j**2
Let v(b) = -5*b - 16. Let f(q) = 4*q**2 - 2*q - 1464. Calculate v(f(x)).
-20*x**2 + 10*x + 7304
Let d(t) = -239110*t**2. Let f(l) = -1568*l**2 + 1. Calculate f(d(s)).
-89648192412800*s**4 + 1
Let h be (-5)/(-10) + (-190563)/(-6). Let i(v) = -h + 4*v + 31752 + 2*v. Let k(u) = -u. Determine k(i(b)).
-6*b + 9
Let k(z) = -3*z**2. Let g = 95 - 66. Suppose 31*i - g*i = 24. Let u(v) = -i*v + 19 - 19. Calculate k(u(r)).
-432*r**2
Let v(o) = 48*o - 59*o + 8*o**2 - 2*o**3 - 16 - 21*o**2 - 6*o**2. Let h be v(-9). Let f(b) = -3*b**2 + b**2 + 7*b**h. Let r(i) = -i. Determine f(r(z)).
5*z**2
Let j(g) = -15*g**2 + 26*g + 35. Let r(v) = -7*v**2 + 12*v + 22. Let i(p) = -6*j(p) + 13*r(p). Let x(c) = -23*c**2. Give x(i(n)).
-23*n**4 + 3496*n**2 - 132848
Let z(l) = 231615*l**2 - 50*l. Let s(p) = -p**2. What is z(s(d))?
231615*d**4 + 50*d**2
Let d(l) = 2*l. Let h(t) be the second derivative of -21451*t**3/3 - t + 2212. Give h(d(z)).
-85804*z
Let b(l) = -28*l. Let d(q) = -276*q**2 + 801. Give d(b(x)).
-216384*x**2 + 801
Let g(b) = 2*b**2. Let k(h) = 11438175*h. Determine k(g(j)).
22876350*j**2
Let s(i) = -i. Let x(j) = -19468567*j. Give s(x(q)).
19468567*q
Let s(z) = 15323229*z**2. Let x(b) = 13*b**2. What is x(s(m))?
3052417510823733*m**4
Let p(v) be the second derivative of v**4/6 + 10*v + 73. Let i(r) be the second derivative of 5*r**3/6 + r. Give i(p(s)).
10*s**2
Let m(d) = 3*d**2. Let h(s) = -372495316*s. Determine h(m(n)).
-1117485948*n**2
Let o(w) = 3*w**2 - 687*w. Let j(p) = -2*p - 67. Calculate j(o(q)).
-6*q**2 + 1374*q - 67
Let u(f) = f**2 - 184*f. Let x(i) = -209*i**2 + 6*i. Let d(h) = -385*h**2 + 11*h. Let l(w) = -6*d(w) + 11*x(w). Give u(l(o)).
121*o**4 - 2024*o**2
Let t(l) = 792*l - 10. Let x(f) = 79*f - 1. Let k(m) = t(m) - 10*x(m). Let b(p) = 745*p. Calculate b(k(g)).
1490*g
Let w be (4/(-12))/((-3)/18). Let g(t) = w*t - 2*t - 2*t + 0*t. Let q(o) = 119*o**2. Calculate g(q(m)).
-238*m**2
Let d(z) = -33*z. Let i(v) = -v. Let m(q) = -d(q) + 9*i(q). Let n be ((-2)/(-4)*-2)/((-13)/117). Let a(t) = n*t - 12*t + 5*t. Calculate m(a(s)).
48*s
Let i(p) be the third derivative of 52*p**2 - 1/12*p**4 + 0 + 0*p + 3/2*p**3. Let a(t) = -t**2. Let h(f) = -f**2. Let y(v) = -3*a(v) + 2*h(v). Give i(y(w)).
-2*w**2 + 9
Suppose 5*m + i - 17 = -10, -2*i - 6 = 0. Let f(p) = -1 + 4 - 456*p**m - 3 + 448*p**2. Let h(l) = 19*l**2. What is f(h(c))?
-2888*c**4
Let d(i) = -463*i**2 + 29*i. Let h(q) = -4876*q. Calculate d(h(z)).
-11007999088*z**2 - 141404*z
Let z(s) = -5*s. Let m(u) be the second derivative of 0*u**2 - 7/6*u**3 + 40*u + 0. What is m(z(f))?
35*f
Let f(k) = 2*k**2. Let s(m) = 969*m + 0 + 1209*m - 167*m + 0. Calculate s(f(h)).
4022*h**2
Let o(p) = 14*p**2. Let u(d) = -4*d**2 + 23*d + 68. Determine u(o(t)).
-784*t**4 + 322*t**2 + 68
Let c(w) be the second derivative of -w**4/2 + 4*w + 19. Let o(g) = 133*g - 21. Let k(q) = -33*q + 5. Let f(v) = 21*k(v) + 5*o(v). Determine f(c(a)).
168*a**2
Let o(z) = -174*z**2. Let c(q) = -15661*q**2. Determine o(c(k)).
-42676444254*k**4
Let u be 6*(-3)/(-9) - 0 - 0. Let a(z) = -35*z**u - 29*z**2 + 103*z**2 - 33*z**2 + 3*z. Let t(c) = c. Determine a(t(k)).
6*k**2 + 3*k
Let x(z) = -711*z. Let o(i) = 259*i**2 - 5*i. Determine x(o(d)).
-184149*d**2 + 3555*d
Let w(h) be the first derivative of -1/12*h**4 - 27 + 0*h**3 + 0*h**2 - 25*h. Let y(b) be the first derivative of w(b). Let t(u) = 13*u**2. Calculate t(y(o)).
13*o**4
Let y(l) = 175*l**2. Let g be (-1)/(-2) + 204/8. Let w(d) = -d - 26 + 2*d + 0*d + g. Give w(y(t)).
175*t**2
Let y(o) = 19*o. Let x(w) = -147811 + 73901 + 3*w + 73899. What is y(x(q))?
57*q - 209
Let r(g) = -32*g**2. Let t(n) be the second derivative of 95*n**3/2 + 6420*n. What is r(t(z))?
-2599200*z**2
Let m(c) = -c**2. Let f(j) = -5810*j**2 - 42*j + 21. Let k(o) = 581*o**2 + 4*o - 2. Let p(v) = 2*f(v) + 21*k(v). Give p(m(w)).
581*w**4
Let x(c) = 2*c**2 + c**2 - 2*c**2. Let m(g) be the first derivative of 25*g**2/2 + 4*g + 481. What is m(x(l))?
25*l**2 + 4
Let r(b) = b - 10. Let u(l) = -606*l - 40. Let t(d) = 4*r(d) - u(d). Let n(h) = -4*h**2. Calculate t(n(k)).
-2440*k**2
Let f(v) = 148*v. Let c(a) be the first derivative of a**3 + 42. What is c(f(w))?
65712*w**2
Let a = -404 + 406. Let y(g) = -a + 2 - 11635*g + 11640*g. Let x(z) = 19*z**2. Calculate x(y(b)).
475*b**2
Let r(l) = 22*l + 81*l + 101*l - 49*l + 14*l. Let s(u) = -3*u. Determine r(s(d)).
-507*d
Let s(n) = -10*n. Suppose -17*w = -24*w - 147. Let m(v) = 3*v. Let l(a) = w*m(a) - 6*s(a). Let o(y) = 3*y + 17. Determine o(l(i)).
-9*i + 17
Let u(t) = -67*t**2 + 33*t + 33. Let h(i) = 234*i**2 - 117*i - 117. Let m(l) = 11*h(l) + 39*u(l). Let v(k) = -262*k. What is m(v(q))?
-2677116*q**2
Let h(f) = 15 + 0 - 2 - 38*f - 2. Let i(a) = -13*a + 4. Let b(x) = 4*h(x) - 11*i(x). Let m(u) = -11*u**2. Give b(m(s)).
99*s**2
Let q(d) = 2184199*d. Let y(v) = -5*v**2 - 4. Give y(q(o)).
-23853626358005*o**2 - 4
Let x(u) = -315*u. Let z(o) = 5*o**2 - 9*o - 45. Let c(i) = -i**2 + 2*i + 10. Let b(r) = 18*c(r) + 4*z(r). Determine x(b(s)).
-630*s**2
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
Rearrange (-h**3 - h**3 + 4*h**3)*(-4 - 6 - 7 + 27) to k*h**2 + o*h**3 + y + s*h and give k.
0
Express -3*l + 4*l**4 + l**3 - 2 - 2*l + 3*l + 1 as y*l**4 + m + t*l**3 + p*l + r*l**2 and give y.
4
Rearrange -18*f**2 + 2*f**2 - 8 + 6*f**2 + 9*f**2 to m*f**2 + b + o*f and give m.
-1
Rearrange 0*d**2 + 1 - 22*d**2 - 9*d**2 to the form c + n*d + y*d**2 and give y.
-31
Rearrange 11 - 4*y**2 + 11*y**2 - 5*y**2 to b*y + k + v*y**2 and give k.
11
Rearrange -k - 3*k + 2*k + (-2 + 3 + 2)*(-k - 2*k + 6*k) - 7*k - 2*k + k to t*k + q and give t.
-1
Rearrange (4 - 6 + 4)*(3*r**4 - 7*r**4 - 7*r**4) to v*r**3 + o + z*r**2 + l*r**4 + j*r and give l.
-22
Express 16*x - 68*x - 26*x + 3*x as q + y*x and give y.
-75
Rearrange -10 + 2 + 8 - 28*d**2 to the form j*d + x*d**2 + l and give x.
-28
Express ((-5*j + 5*j - 3*j)*(-4 + 2 + 0) - 1 + j + 1)*(3 + 0 - 2)*(-33*j - 29*j + 58*j) as h*j**2 + c*j + d and give h.
-28
Rearrange -x**4 - 4*x**4 + 2*x**3 - 3*x + 2 + 0*x**3 + x to r + a*x + k*x**2 + n*x**4 + j*x**3 and give j.
2
Rearrange 0 - i**3 + 2 + 3*i - 2*i - 3*i to the form l*i + b + f*i**3 + h*i**2 and give l.
-2
Rearrange 7 - 10*k - 6 - 1 to the form s + z*k and give z.
-10
Rearrange (-5*a**2 + a**2 + 2*a**2)*(-1 + 0 - 1)*(-2 + 0 + 3)*(-13*a**2 + 67*a - 67*a) to the form m*a**2 + p*a**4 + b*a**3 + q + i*a and give q.
0
Express (0 - 2 + 10)*(3*y + 6*y - 2*y - 1) in the form q*y + o and give o.
-8
Express 2*k**3 + 0*k**2 - k**4 + 791*k + 2 - 807*k - k**2 in the form n + r*k**4 + w*k + u*k**2 + f*k**3 and give f.
2
Express (2 - 4 + 3)*(-2*s**4 - 2*s**4 + 19*s**4 + 3*s) in the form d*s + c*s**3 + r*s**2 + w*s**4 + u and give d.
3
Express 4 + 24*m - 13*m + 5*m**4 - 10*m + m**3 - 2*m**2 in the form u*m**2 + v*m**3 + h*m + f*m**4 + n and give f.
5
Rearrange -2*a**4 + 2*a**3 + 4*a**4 - 6*a**4 + 2*a**2 + 1 to the form b*a + z*a**4 + s + x*a**2 + o*a**3 and give z.
-4
Express d**2 + 2 + 21*d**2 + 4*d**2 - 3 in the form s + l*d**2 + t*d and give t.
0
Express (m - 14*m**3 + m**2 + 1 + 11*m**3 + 3*m)*(3*m - 2*m + 0*m) in the form f*m**3 + q*m**4 + g*m + a + z*m**2 and give g.
1
Express -17*r + 63*r + 3*r in the form n*r + g and give n.
49
Express 6*a - 37*a - 4*a as r + y*a and give y.
-35
Express (4*p**2 + p**2 + p**2)*(4*p + p + p) in the form g*p**2 + z*p + n*p**3 + o and give g.
0
Rearrange -2 + 2 + 52*c - 22*c to the form j + x*c and give x.
30
Express (-9 + 9 - 3*c)*(-c + 5*c - 2*c) + c**2 - 2*c + 2*c + (-4 + 4 + 1)*(13*c**2 + 12*c - 12*c) in the form l + q*c + p*c**2 and give p.
8
Rearrange -7 + 6 - 15*x + 1 to the form s*x + d and give s.
-15
Express (-4 + 0 + 5)*(-2 - 5 - 2)*(2*n**3 - 2*n**3 + 2*n**4) in the form o*n + y*n**2 + c + m*n**4 + v*n**3 and give m.
-18
Express -2576 + 3*s**3 - 2*s**3 + 2617 in the form o + n*s + b*s**2 + h*s**3 and give h.
1
Rearrange 27*f**2 - 16*f**2 + 27*f**2 to v*f + s + r*f**2 and give r.
38
Rearrange -2*j + 3 + j**2 + 2 + 3*j**2 - j**2 to the form u + x*j + t*j**2 and give x.
-2
Express 30*a**3 - 4*a**2 + 36*a**3 + 2 - 65*a**3 as g + j*a + w*a**3 + f*a**2 and give g.
2
Rearrange (12*h**2 - 7*h**2 - 9*h**2)*(-2 + 1 + 2) to the form z*h**2 + r + s*h and give z.
-4
Express -17 + 3 + 4*m**2 - 3*m**2 + 0 in the form x + r*m + l*m**2 and give x.
-14
Express -9*i**4 + 4*i + 4*i**4 - i**3 + 1 - 3*i**4 in the form j*i**3 + k*i**4 + a + o*i**2 + s*i and give a.
1
Rearrange -8*d + 0*d**3 + 0*d**3 - 14*d + 2*d**3 to the form t*d**3 + i*d**2 + a + q*d and give q.
-22
Express 6*d**3 + 2*d**3 + 4 - 5*d**3 + 3*d**3 in the form i*d**2 + s*d + n*d**3 + b and give i.
0
Rearrange (3*w**3 + 3*w**3 - 4*w**3)*(w + 0*w - 2*w) + 35*w**4 + 7 + 2*w**2 + 84*w - 86*w - 5 to m*w**4 + n + h*w**2 + u*w**3 + d*w and give d.
-2
Express (2 + 4 - 4)*(-1 + 1 + 2*o) + 2*o - 4*o + 0*o - 357*o - 31*o + 26*o in the form s + w*o and give s.
0
Express 6*w**3 + 0*w**3 + 23*w - 21*w as r + u*w + m*w**2 + l*w**3 and give l.
6
Express 85*m - 85*m + 38*m**2 in the form q + z*m + v*m**2 and give v.
38
Rearrange 1208 + 6*g - 1208 - 3*g**2 to the form j*g**2 + r + i*g and give i.
6
Express 9*n**2 + 6 + 2 - 3*n + 8 - 15 as s*n + u*n**2 + x and give s.
-3
Express -2*d**2 - 3*d**2 + 9*d**2 - 4*d + 4*d - d**2 + d**2 - 1 + 1 + (3*d**2 - 4*d**2 + 2*d**2)*(2 - 3 + 2) in the form l + k*d**2 + c*d and give k.
5
Express 35*j**4 + 2*j**2 - j**3 + 35*j**4 - 79*j**4 + 1 as x*j**2 + f*j**3 + y*j + w*j**4 + z and give x.
2
Rearrange 2*a**2 + a**4 - 20*a**3 - 2*a + 11*a**3 + 10*a**3 to the form t*a + o*a**2 + n*a**3 + v*a**4 + u and give o.
2
Express -1 - b + 1 + (-4 + 3 - 1)*(-b + 0*b + 2*b) + b + 2*b - b - 2 + 7*b - 3*b - 14*b in the form a + f*b and give f.
-11
Rearrange -6*o + 2*o - 6*o - 3*o to the form j*o + s and give j.
-13
Rearrange -2*m**3 + 2*m**3 - 3*m**3 + (-5*m**2 + 3*m**2 + 5*m**2)*(-2*m + 0*m + 0*m) to the form z + o*m**3 + i*m + d*m**2 and give o.
-9
Rearrange 66*u**4 - u**4 - 7*u**4 + (-1 + u + 1)*(u - u**3 - u) to m*u**4 + b*u**3 + n + y*u**2 + f*u and give m.
57
Express -9*z + 6*z + z + 13*z**2 as q*z**2 + g + h*z and give q.
13
Rearrange (-2 + 0 + 0)*(3*k**2 - 3*k**2 + k**2) + 0*k**2 + 2*k**2 - k**2 + (3 - 3 + 2*k)*(10*k - 19*k + 26*k) to the form m*k + w + f*k**2 and give f.
33
Express 10*r - 6*r + 7*r in the form s + w*r and give w.
11
Express 11*n - 45 + 45 in the form r*n + o and give o.
0
Rearrange -18*p + 3 - 1 - 12*p + 9*p to s*p + r and give s.
-21
Rearrange ((-4 + 0 + 2)*(-3*h - h + 7*h) + 2 - 4*h + 2*h + h)*(-2 - h**2 + 2) to d*h**3 + t + p*h**2 + o*h and give d.
7
Express 4*t - 5*t + 2*t - 3*t in the form r + p*t and give p.
-2
Express 269 - 269 - 30*a**2 as x*a + n*a**2 + g and give g.
0
Express -6*q**2 - 36*q**3 + q - 4*q**2 + 9*q**2 in the form d*q**3 + m*q + p*q**2 + c and give d.
-36
Rearrange (3*v - 3*v - v)*(0*v - 3*v + 5*v) + v**2 + 2*v**2 - 4*v**2 + (4*v + 3 - 3)*(-3*v + v - 3*v) to the form l*v**2 + n*v + r and give l.
-23
Rearrange -k**4 - k**4 + 2*k**2 - 21*k + 9*k - 3 + 13*k to the form x + v*k + u*k**3 + a*k**4 + g*k**2 and give v.
1
Rearrange -6*x**3 - 3*x**4 + x**4 - 2*x**2 + 5*x**3 - 5*x**3 to t + m*x + k*x**3 + a*x**2 + z*x**4 and give z.
-2
Rearrange -177*p**3 - 1 + 1 - 7*p + p**2 + 175*p**3 to w*p**3 + f*p**2 + s + j*p and give w.
-2
Express (1 - 2 + 2)*(-m**2 + 4*m**2 - m**2) + 2*m**2 + m - m - 13 + 13 + 10*m**2 in the form w*m**2 + p*m + n and give w.
14
Rearrange (30*c - 9*c + 5*c)*(-3 + 3 + c) to h + u*c + f*c**2 and give h.
0
Rearrange (0*k - 2*k + 3*k + 5)*(-k + 0*k + 14*k) to the form p*k + v*k**2 + a and give v.
13
Rearrange -t**2 + 3*t**2 + 0*t**2 + (0*t + 0*t + t**2)*(-8 + 8 + 7) to u*t**2 + m + f*t and give f.
0
Rearrange -23 - 2*t**4 - 4*t**2 - t**4 - 2*t**3 + 22 - t**3 to d*t**2 + o*t + h*t**4 + l*t**3 + y and give l.
-3
Rearrange (0 + 2 + 1)*(-2*d**2 - 13*d**2 + d**2)*(-4*d**2 - 2*d**2 + 7*d**2) to the form i*d**2 + l*d + a*d**4 + v + b*d**3 and give a.
-42
Express (954*j + 13*j**2 - 1 + j**3 - 954*j)*(1 - 4 - 1) in the form d*j**3 + g + m*j + p*j**2 and give g.
4
Rearrange 34*h + 277 - 277 to the form w + g*h and give g.
34
Express (4 - 3 - 5)*(0*y**2 + y**2 - 2*y**2)*(3 - 1 - 4) as h*y + t + c*y**2 and give c.
-8
Express -3 - s - 13*s + 3 as m + t*s and give t.
-14
Express 2*p**3 + p - 3*p**2 + p**2 - p - 3*p + p**4 as x + q*p**2 + t*p**4 + l*p**3 + s*p and give q.
-2
Express 7 + 5*w - 7 - 2*w + 1 - 1 + (1 - 1 + w)*(-3 - 1 + 5) + 4*w - 4*w - 2*w in the form k + j*w and give j.
2
Express (3*n - 2 + 2)*(153 - 42 - 52) as d*n + f and give d.
177
Rearrange (3*i**2 - 2*i**3 - 3*i**2)*(-1 + 2 + 6) to the form r*i**2 + k + v*i + g*i**3 and give g.
-14
Rearrange l - 3*l + 73*l**4 - 65*l**4 + (-2*l**3 + l**3 - l**3)*(l + 2*l - 5*l) to the form n*l + d + m*l**3 + f*l**2 + j*l**4 and give j.
12
Rearrange 8*q - 9*q + 9*q - 1 + 24*q to the form d*q + r and give r.
-1
Express 31*t**4 + 3*t**4 + t + 32 - 30 in the form l + v*t**4 + x*t**3 + y*t**2 + c*t and give l.
2
Express (-5*t**2 + 5*t**2 - 4*t**2 + (t - 3*t + t)*(2*t - t + 0*t))*(4*t - 8*t + 3*t + 5*t**2) in the form c*t + m*t**2 + d*t**4 + o*t**3 + w and give d.
-25
Express -2 + 34*t + 8*t + 2 in the form m + q*t and give q.
42
Rearrange 2*r**4 + 2*r**2 - 2 - 5*r**3 + 2 + 12*r**3 to g*r**2 + n*r + o*r**4 + l + q*r**3 and give g.
2
Express j**4 + 5 + 2*j**2 + 14 + 2*j**4 - 2*j**4 as f + k*
|
{
"pile_set_name": "DM Mathematics"
}
|
ative of 11 + k*s - 3*s**2 - 2*s - 5. What is v(n(m))?
-108*m**2
Let f(x) = 22*x. Let h(m) = m - 1. Let q(g) = 7*g - 8. Let u(v) = -40*h(v) + 5*q(v). Calculate f(u(c)).
-110*c
Let d(a) = 6*a**2 + 4*a + 1. Let i(l) be the second derivative of l**3/6 - 2142*l. Determine i(d(s)).
6*s**2 + 4*s + 1
Let k be 2*(-11)/((-154)/63). Let l(w) = -k*w**2 + 12*w**2 - 7*w**2. Let c(n) = -n**2 - n**2 - 2*n**2. Determine c(l(j)).
-64*j**4
Let j = -176 - -178. Let c(v) = -2*v**j + 102 - 102. Let f(t) = 17*t. What is f(c(y))?
-34*y**2
Let f(o) be the first derivative of 1/3*o**3 + 0*o - 119 + 0*o**2. Let t(d) = 3*d**2. Determine f(t(q)).
9*q**4
Let j(o) = 11*o**2 + 34. Let b(q) = 2*q + 1815 - 1815. Determine j(b(i)).
44*i**2 + 34
Let p(x) = 12*x**2. Let w(q) be the third derivative of q**5/60 - 6*q**3 - 1089*q**2. Give p(w(y)).
12*y**4 - 864*y**2 + 15552
Let w(z) = 11*z**2 + 40. Let r(c) = 2*c**2 + 7. Let f(a) = 6*r(a) - w(a). Let k(q) = -5*q**2 - 9. Give k(f(j)).
-5*j**4 - 20*j**2 - 29
Let l(h) = 46991269*h. Let k(u) = 2*u. What is l(k(y))?
93982538*y
Let q(y) = -2*y. Let w(h) = 83*h + 2206. Let b(p) = 139*p + 4412. Let n(o) = 3*b(o) - 5*w(o). Determine n(q(k)).
-4*k + 2206
Let t(k) be the third derivative of -k**4/12 - k**2. Let v(j) be the second derivative of j**3/3 + 1788*j. Determine t(v(n)).
-4*n
Let n(u) = -35*u**2. Let v(y) = 7*y - 3. Let w(k) = 12*k - 5. Suppose -46 = 5*r + 5*j - 11, -1 = -5*r + 4*j. Let c(h) = r*w(h) + 5*v(h). What is n(c(m))?
-35*m**2
Let x(p) = -p**2 + 263*p + 75. Let v(n) = -126*n. Give x(v(f)).
-15876*f**2 - 33138*f + 75
Let a(g) = 12*g. Let t(u) = 2094399*u**2. Calculate t(a(y)).
301593456*y**2
Let i(t) = 3*t**2. Let m(o) be the third derivative of -o**8/720 - o**5/30 - 29*o**3/6 - 3*o**2 + 6*o. Let r(u) be the third derivative of m(u). Give i(r(w)).
2352*w**4
Suppose -10*w + 4*w = -132. Let u(k) = -23 + 65 - k - 20 - w. Let q(j) = -121*j + 2. What is q(u(g))?
121*g + 2
Let g(k) = -9*k. Let i(y) be the third derivative of y**8/2240 - 11*y**5/12 - 2*y**2 + 8. Let j(u) be the third derivative of i(u). Give g(j(w)).
-81*w**2
Let m(z) = -40*z - 33. Let k(d) = 124*d + 102. Let s(v) = 12*k(v) + 37*m(v). Let c(n) = -13*n. What is c(s(i))?
-104*i - 39
Let k(n) be the third derivative of -17*n**4/6 - 4730*n**2 - n + 2. Let z(l) = -4*l. Let o(f) = f**2 - 9*f. Let w(m) = 4*o(m) - 9*z(m). Calculate k(w(t)).
-272*t**2
Let i(a) = -a. Let g(l) = -7*l**2 + 2. Let w(d) = 5*d - 38. Let r be w(7). Let z(c) = -c**2 + 1. Let x(f) = r*g(f) + 6*z(f). What is x(i(u))?
15*u**2
Let o(h) = 815940*h. Let y(p) = -7*p**2. Determine o(y(s)).
-5711580*s**2
Let z(j) = 2*j + 10. Suppose -20 = -7*k + 12*k. Let v(m) = -2*m - 8. Let y(g) = k*z(g) - 5*v(g). Let p(o) = -55*o**2. What is p(y(r))?
-220*r**2
Let u(h) = -2*h**2 + 10. Let q(m) = -57*m**2 + 304. Let s(w) = 5*q(w) - 152*u(w). Let g(p) = -2*p. Determine s(g(c)).
76*c**2
Let o(j) be the first derivative of -16*j**3/3 - 1123. Let d(g) be the second derivative of 2*g**3/3 - g. What is d(o(u))?
-64*u**2
Let f be 27/(-54)*(1 - 29). Let x(u) = -9*u - 13*u + 35*u - f*u. Let m(d) = -9*d**2. What is m(x(l))?
-9*l**2
Let x(d) be the second derivative of d**4/6 + 19*d. Let j(v) = -2*v**2 - 3*v + 239. Let n(o) = o**2 + 2*o - 234. Let a(k) = -2*j(k) - 3*n(k). What is a(x(p))?
4*p**4 + 224
Let r(b) = -309*b**2 - 39*b - 13. Let o(m) = 49*m**2 + 6*m + 2. Let a(w) = -39*o(w) - 6*r(w). Let k(u) = 4*u**2 + 8. Give k(a(q)).
12996*q**4 + 8
Let i(a) = -2*a + 36. Let r(t) = -53624*t. Calculate i(r(y)).
107248*y + 36
Let m(w) be the first derivative of -9*w**2 + 5*w + 9049. Let f(n) = 5*n**2. Calculate m(f(d)).
-90*d**2 + 5
Let f(b) = -4*b**2 + 379. Let d(u) = 335*u - 5. Determine d(f(r)).
-1340*r**2 + 126960
Let u(i) = 25 - 25 + i. Let n(t) = 16*t**2 - 4*t + 4. Let c(j) = 16*j**2 - 5*j + 5. Let p be 3/6*-4*(0 + 2). Let x(y) = p*c(y) + 5*n(y). Determine x(u(s)).
16*s**2
Let g(k) be the second derivative of 25*k**3/3 + 128*k + 37. Let b(z) be the third derivative of z**5/20 - 4*z**2. What is g(b(l))?
150*l**2
Let g(a) = 10174*a**2. Let j(m) = 38*m. Give j(g(t)).
386612*t**2
Let j(h) = -3*h**2. Let v(w) be the first derivative of 9*w**5/20 - 26*w**3 - 58. Let i(r) be the third derivative of v(r). Determine i(j(q)).
-162*q**2
Let i(x) = -36775*x + 94. Let h(d) = 4*d. What is i(h(z))?
-147100*z + 94
Let p(o) = 13*o**2. Suppose -30*i - 870 = -990. Let d(u) be the second derivative of 11*u + 1/6*u**i + 0 + 0*u**3 + 0*u**2. Calculate p(d(q)).
52*q**4
Suppose 6*w = 3*f + 4*w - 22, -f - 3*w = 11. Let u(g) = 7 + 8 - 32 + g + 12 + f. Let o(a) = a. Give o(u(n)).
n - 1
Let g(f) = -3*f + 5. Let q be -2 - -5 - (-4 + 3). Let w(k) = -10 + 7*k - q*k + 2*k + 2. Let b(x) = 8*g(x) + 5*w(x). Let l(h) = 6*h. Give l(b(r)).
6*r
Let m(w) be the third derivative of -3/20*w**5 + 2 + 0*w**3 + 26*w**2 - 1/24*w**4 + 0*w. Let x(f) = -f. Calculate m(x(r)).
-9*r**2 + r
Let j(i) = -3*i. Let m(f) = -290*f**2 - 71*f + 293*f**2 - 52*f. Calculate j(m(p)).
-9*p**2 + 369*p
Let j(v) = 2*v. Suppose -46 = -5*z - 1. Let n(t) = -9 + 1 + z. Let m(k) = -4*k**2 - 2. Let a(p) = -3*m(p) - 6*n(p). What is a(j(g))?
48*g**2
Let m(p) = -p. Let s(o) = -45144361*o. Calculate s(m(q)).
45144361*q
Let g(d) = -5*d. Let s(t) = t. Let r(w) = -2*g(w) - 9*s(w). Let j(x) be the first derivative of 2 + 109/3*x**3 + 0*x**2 + 0*x. What is r(j(l))?
109*l**2
Let v(x) = -52308*x + 1 - 6 + 1 + 52297*x. Let m(o) be the first derivative of -o**2/2 - 1. Give m(v(s)).
11*s + 4
Let h(f) = -32*f**2 + 2*f. Let v(s) = -482*s - 188. Let t be v(-9). Let z(w) = -t*w + 3*w**2 + 4150*w. Give h(z(b)).
-288*b**4 + 6*b**2
Let l(v) = 7*v**2 + 10. Let a(y) = 141*y**2 - 2*y - 5. Give a(l(w)).
6909*w**4 + 19726*w**2 + 14075
Let r(d) = 2*d**2. Let v(z) = -2*z**2 + 9*z - 27. Let u be v(7). Let s = 63 + u. Let t(l) = -s - 4 - 3*l + 4 + 4. Determine t(r(c)).
-6*c**2 + 3
Let s(f) be the third derivative of 51*f + 0*f**3 + 0 + 1/20*f**5 + 1/24*f**4 + 2*f**2. Let o(h) = -h. Calculate s(o(t)).
3*t**2 - t
Let c(i) = 6*i**2. Let z = -808 + 818. Let h(k) = -11*k - 3 + 3 - z*k + 13*k. What is c(h(m))?
384*m**2
Let q(p) = 1457955*p. Let n(l) = -5*l. Determine n(q(c)).
-7289775*c
Suppose 0 = 101*c + 31*c - 396. Let z(f) be the first derivative of 0*f**2 + 0*f - 2/3*f**c - 13. Let x(s) = 32*s. Determine z(x(u)).
-2048*u**2
Let g(p) = -p. Let j(z) = 2614*z**2 - 752*z**2 - 1313*z**2 - 1223*z**2. Give j(g(x)).
-674*x**2
Let d(z) = 0*z**2 + 0*z**2 + 1239 + 2*z**2 - 1239. Let k(s) = -1248*s**2. Determine k(d(a)).
-4992*a**4
Let d(v) = 54*v. Let t(w) = 11*w. Let g(n) = -d(n) + 6*t(n). Let h(p) = 205*p. What is g(h(k))?
2460*k
Let f(i) = 4995080*i. Let j(n) = -3*n**2. Calculate j(f(o)).
-74852472619200*o**2
Let k(w) = -w. Let i(b) = -4324484*b**2. Give k(i(x)).
4324484*x**2
Let z(d) = 2*d**2. Let j(t) = 29*t + 2. Let g be j(-2). Let f = g - -64. Let p(o) = -9*o - 17*o + f*o. Determine p(z(b)).
-36*b**2
Let i(q) = -19*q**2. Let h(y) = 17*y + 72. Let t(g) = -594*g - 2508. Let w(c) = -209*h(c) - 6*t(c). What is i(w(n))?
-2299*n**2
Let a(s) = 33207*s. Let u(r) = 2684*r**2. Give u(a(i)).
2959659814716*i**2
Let s(p) = 7 + 7*p - 21 - 10 - 2*p. Let j be s(6). Let k(t) = -t + 3. Let w(x) = -6*x + 17. Let q(o) = j*w(o) - 34*k(o). Let u(g) = -31*g. Determine q(u(y)).
62*y
Let t(f) = 1383*f. Let u(d) be the second derivative of d**4/6 + 1160*d. What is u(t(l))?
3825378*l**2
Let i(s) = -26*s**2 + 16150*s + 2. Let a(o) = -4*o**2. What is i(a(q))?
-416*q**4 - 64600*q**2 + 2
Let o(k) = -k**2. Suppose -c - 15 = -5. Let q(j) = -j**2 - 15*j - 23. Let r be q(c). Let y(g) = r*g**2 - 15*g**2 + 11*g**2. What is y(o(x))?
23*x**4
Let t(r) = 635*r + 8. Let h(f) = -770*f. Determine t(h(n)).
-488950*n + 8
Let w(r) = -2*r**2 + 390*r + 3. Let a(j) be the second derivative of -j**3/3 + 10145*j. What is w(a(h))?
-8*h**2 - 780*h + 3
Let k(h) = 8401*h - 4206*h - 4192*h. Let c(j) = 13*j**2 - 2*j. Let p(m) = -1260*m**2 + 195*m. Let f(i) = 585*c(i) + 6*p(i). Give k(f(w)).
135*w**2
Let g(a) = 158*a - 156*a - 40 - 1 - 6 - 7. Let l(w) = 77*w**2. What is l(g(u))?
308*u**2 - 16632*u + 224532
Let t(c) = -4*c**2 + 68*c. Let d(l) = -52938*l. Give d(t(g)).
211752*g**2 - 3599784*g
Let f(x) = -166*x. Let o(l) = -29*l + 29*l + 2*l + 22*l. Calculate f(o(h)).
-3984*h
Let h(p) = 5*p**2. Let
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{
"pile_set_name": "DM Mathematics"
}
|
116. Let i be l(29). Suppose 0*k + 0 - 2/5*k**4 + 4/5*k**3 + i*k**2 = 0. Calculate k.
0, 2
Let y = 1578/7 - 4717/21. Let t = 8/7 - y. Find u such that -4/3 - t*u**2 - 4/3*u = 0.
-2
Let g(w) be the third derivative of -w**5/15 + 7*w**2. Factor g(y).
-4*y**2
Let g = 18/503 - 5416/123235. Let w = 20/49 + g. Find h such that w*h - 4/5*h**4 + 0 + 0*h**3 + 4/5*h**2 - 2/5*h**5 = 0.
-1, 0, 1
Suppose 4*w - w + 9 = 0. Let y(t) = 8*t**2 + 8*t + 4. Let l(p) = -p**3 + 9*p**2 + 9*p + 5. Let v(s) = w*y(s) + 2*l(s). Factor v(f).
-2*(f + 1)**3
Factor 4*k**5 - 8*k**2 + 3*k**5 + 2*k + 5*k**4 - 9*k**3 + 3*k**2.
k*(k - 1)*(k + 1)**2*(7*k - 2)
Let w(h) be the second derivative of -h**7/98 - 3*h**6/70 - 3*h**5/70 + h**4/14 + 3*h**3/14 + 3*h**2/14 - 5*h. Solve w(j) = 0 for j.
-1, 1
Let v(q) be the second derivative of -1/24*q**4 + 1/4*q**3 - 1/2*q**2 + 3*q + 0. Let v(b) = 0. Calculate b.
1, 2
Let t(q) be the second derivative of -q**4/4 + q**3/6 - 5*q. Factor t(p).
-p*(3*p - 1)
Let t(z) = -7*z + 42. Let m be t(6). Let k(x) be the second derivative of 0 + 0*x**3 - 1/25*x**5 - 1/75*x**6 + m*x**2 + x - 1/30*x**4. Factor k(q).
-2*q**2*(q + 1)**2/5
Let l(s) be the third derivative of s**8/112 - s**6/40 + 5*s**2. Factor l(c).
3*c**3*(c - 1)*(c + 1)
Suppose p = 2*p + 95. Let q = 477/5 + p. Factor q*x**3 + 0*x**2 + 0 + 0*x.
2*x**3/5
Let p(m) be the second derivative of -3*m + 0 + 1/21*m**3 - 1/7*m**2 + 1/42*m**4 - 1/70*m**5. Suppose p(f) = 0. Calculate f.
-1, 1
Suppose 0 = 2*a - 13 - 7. Let s be (-5)/a + (-10)/(-12). Let s*r - 1/3*r**2 + 0 = 0. Calculate r.
0, 1
Let u(h) be the first derivative of -h**4/24 - h**3/6 - h**2/4 + h + 3. Let k(d) be the first derivative of u(d). Factor k(z).
-(z + 1)**2/2
Suppose 0*o + 0 + 2/21*o**2 + 0*o**3 - 2/21*o**4 = 0. Calculate o.
-1, 0, 1
Factor 7/3*k**2 - 3*k**3 + 2/3*k + 0.
-k*(k - 1)*(9*k + 2)/3
Let x = 21 - 19. Suppose 64*i + 0*i**x + 4 - 60*i + i**2 = 0. Calculate i.
-2
Suppose -14*f = -19*f. Factor 0*a + 2/9*a**2 - 4/9*a**3 + 2/9*a**4 + f.
2*a**2*(a - 1)**2/9
Let n(b) be the third derivative of -4*b**2 + 0 + 1/150*b**5 + 0*b + 1/15*b**3 - 1/30*b**4. Factor n(i).
2*(i - 1)**2/5
Let k(h) be the third derivative of h**5/12 - 5*h**4/2 + 30*h**3 + 2*h**2 + 2*h. Factor k(l).
5*(l - 6)**2
Let y(u) be the third derivative of -u**8/10080 + u**7/420 - u**6/40 + 3*u**5/20 + u**4/4 - 4*u**2. Let i(j) be the second derivative of y(j). Factor i(n).
-2*(n - 3)**3/3
Factor 1/2*v**2 + 1/4*v**3 - 1/2 - 1/4*v.
(v - 1)*(v + 1)*(v + 2)/4
Let u(m) be the third derivative of -1/945*m**7 + 0*m - 1/270*m**6 - m**2 - 1/270*m**5 + 0*m**4 + 0 + 0*m**3. What is w in u(w) = 0?
-1, 0
Let p(q) be the first derivative of -5 - 1/9*q**3 - 1/6*q**2 + 2/3*q. Let p(b) = 0. What is b?
-2, 1
Let f(v) be the first derivative of 4*v**2 - v - 4/3*v**3 - 2 + 1/6*v**4. Let x(t) be the first derivative of f(t). Factor x(y).
2*(y - 2)**2
Suppose -3*d - 2*p = -19, -2*d - 3*p + 30 = 3*d. Let r = d - 1. Factor -2/5*u + 2/5*u**3 - 2/5*u**r + 2/5.
2*(u - 1)**2*(u + 1)/5
Let d(z) = 2*z + 2. Let s be d(0). Factor 0*m - 2/3 + 2/3*m**s.
2*(m - 1)*(m + 1)/3
Factor -8*t - 8/3 - 4*t**3 - 2/3*t**4 - 26/3*t**2.
-2*(t + 1)**2*(t + 2)**2/3
Let j(u) = -u**3 + 7*u**2 - u + 10. Let h be j(7). Let -2 + 20*x - 3 + 2 + 3*x**h - 14*x**2 - 5 = 0. What is x?
2/3, 2
Suppose 2*c = -81 + 85. Factor 6/5*b**c + 0*b + 3/5*b**5 + 0 + 0*b**4 - 9/5*b**3.
3*b**2*(b - 1)**2*(b + 2)/5
Let o(q) be the second derivative of q**7/14 + 3*q**6/2 + 9*q**5/2 - 95*q**4/2 + 225*q**3/2 - 243*q**2/2 + 35*q. Let o(n) = 0. Calculate n.
-9, 1
Let q(f) be the second derivative of -f**7/84 - 11*f**6/180 - f**5/20 + f**4/6 + 2*f**3/9 + 15*f. Determine c, given that q(c) = 0.
-2, -2/3, 0, 1
Let q(u) be the second derivative of u**4/78 + u**3/39 + 3*u. Factor q(g).
2*g*(g + 1)/13
Let z(m) = -m**5 - m**3 + m. Let p(v) = -6*v**5 - 2*v**3 + 2*v**2 + 5*v. Let w(i) = -3*p(i) + 15*z(i). Factor w(a).
3*a**2*(a - 2)*(a + 1)**2
Let h be 8/14 - 36/112. Factor -u - 1 - h*u**2.
-(u + 2)**2/4
Factor -6*s**3 - 3*s**2 - 64 + 8*s**3 - 4*s**3 - 17*s**2 - 64*s.
-2*(s + 2)*(s + 4)**2
Let f = -15 - -18. Factor -2*a + 1 + 0 - 3*a**f - a**4 + 5*a**3.
-(a - 1)**3*(a + 1)
Let k(d) be the third derivative of -d**8/120960 - d**7/15120 - d**6/4320 + 2*d**5/15 - 2*d**2. Let o(a) be the third derivative of k(a). Factor o(m).
-(m + 1)**2/6
Let s be 2/(-9) + 145/45. Suppose 5*b - s*i - 22 = 0, b - 3*i - 8 = 6. Factor -j**b - j**3 + j - 2*j**4 + 2*j**4 + j**4.
j*(j - 1)**2*(j + 1)
Let w(r) be the first derivative of -r**4/2 + 2*r**3 - 2*r**2 + 11. Suppose w(q) = 0. What is q?
0, 1, 2
Let k(p) be the third derivative of 16/15*p**3 - 1/150*p**6 + 2/25*p**5 - 2/5*p**4 + 0*p - 4*p**2 + 0. Determine m, given that k(m) = 0.
2
Let i = 434 - 431. What is j in 0*j - 1/3*j**i + 2/3*j**2 + 0 = 0?
0, 2
Let u(j) be the third derivative of j**6/10 - j**5/15 - j**4/2 + 2*j**3/3 - 3*j**2. Find k, given that u(k) = 0.
-1, 1/3, 1
Suppose 0 = 5*c - 5*w + 6*w - 12, -4*w = -4*c + 24. Solve 0 + 1/6*n**4 + 0*n + 1/2*n**c + 0*n**2 = 0 for n.
-3, 0
Let v(l) = -l + 3*l**3 - 3 + 2*l**3 + 5*l**2 - 4*l**3. Let a be v(-5). Factor -4*u**a + 2*u**2 + 2*u + 4*u**2.
2*u*(u + 1)
Suppose 2*v + 14 = 18. Suppose 5*o = v + 8. Solve 3/5*s - 2/5 - 1/5*s**o = 0 for s.
1, 2
Let f(i) be the first derivative of -25*i**3/3 - 105*i**2 - 80*i + 4. Factor f(n).
-5*(n + 8)*(5*n + 2)
Let r(l) be the second derivative of 2*l**3 - 6*l**2 + 0 - l - 1/4*l**4. Factor r(v).
-3*(v - 2)**2
Suppose -z - 2*y = -3, 5*z = -y + 4*y + 15. Find t such that -t + 0*t**3 + 2*t**2 + 3*t**3 - t**z - 3*t**3 = 0.
0, 1
Let z(r) be the third derivative of r**7/5040 - r**5/240 + r**4/12 + 2*r**2. Let f(i) be the second derivative of z(i). Factor f(d).
(d - 1)*(d + 1)/2
Let r be ((-3)/(-7))/(8/(-574)). Let m = r + 31. Determine h, given that -m*h**3 - h**2 - 1/2 - 5/4*h = 0.
-2, -1
Let i(k) = -4*k**2 + 7*k - 1. Let d be (6 + -9)*1*-1. Let y(t) = 5*t**2 - 8*t. Let q(s) = d*y(s) + 4*i(s). Suppose q(a) = 0. What is a?
2
Let k = 94 + -753/8. Let u = 5/8 + k. Find m, given that 1/2*m**4 + u*m**2 + m**3 + 0 + 0*m = 0.
-1, 0
Let u(f) = 4*f**3 - f**2. Suppose 0 = c - 0*c - 1. Let z be u(c). Solve -3*g**3 + g + 2*g**z + g + g**2 = 0.
-1, 0, 2
Let x = -21 - -15. Let z = 8 + x. Determine k so that 14*k**z - 2 + 2 - 4*k = 0.
0, 2/7
Let x = 48/119 - 2/17. Let 0 - 5/7*v**2 - 4/7*v**3 - x*v - 1/7*v**4 = 0. Calculate v.
-2, -1, 0
Let d(v) be the third derivative of -v**7/840 + v**6/480 + v**5/80 - v**4/96 - v**3/12 - 5*v**2. Determine w so that d(w) = 0.
-1, 1, 2
Let d(q) be the first derivative of q**6/120 + q**2 - 2. Let x(s) be the second derivative of d(s). Find b, given that x(b) = 0.
0
Suppose -2*u + 9 = z, -5*u = -3*z - 8 + 2. Determine n so that 0 - 4/3*n**u + 2/9*n**2 + 4/9*n = 0.
-1/2, 0, 2/3
Let h(g) be the first derivative of -g**6/720 - g**5/240 + g**4/24 + 2*g**3/3 + 4. Let z(n) be the third derivative of h(n). Find r such that z(r) = 0.
-2, 1
Let y(h) be the first derivative of -3*h**4/4 - 2*h**3 + 3*h**2/2 + 6*h + 5. Factor y(v).
-3*(v - 1)*(v + 1)*(v + 2)
Suppose -4*x - 2*y = 12, -5*y - 10 = x - 8*y. Let s(c) = 4*c**2 - 3*c + 17. Let i(z) = -z**2 + z - 4. Let o(g) = x*s(g) - 18*i(g). Let o(b) = 0. Calculate b.
1, 2
Let w(u) be the second derivative of -u**5/30 - u**4/18 + 2*u**3/9 - 11*u. Solve w(z) = 0.
-2, 0, 1
Let p(n) be the second derivative of -n**6/30 + n**5/10 + 7*n**4/12 - 10*n**3/3 + 6*n**2 - 22*n. Solve p(y) = 0.
-3, 1, 2
Let l(i) be the first derivative of -i**6/72 + 2*i**5/45 - i**4/72 - i**3/9 + 4*i**2 - 4. Let m(o) be the second derivative of l(o). Factor m(f).
-(f - 1)**2*(5*f + 2)/3
Let a(p) be the second derivative of p**4/48 - p**3/8 + p**2/4 + 4*p. Let a(z) = 0. Calculate z.
1, 2
Suppose -9 = -m - 2*m. Let u = 4 - m. Factor -u + 3*f + 2 - f**2 - 7*f + 4*f**3.
(f - 1)*(f + 1)*(4*f - 1)
Let l(a) be the first derivative of -1 + 25/6*a**4 + 16/15*a**5 - 4/3*a**2 - 7/3*a**6 - 16/9*a**3 + 0*a. Let l(u) = 0. Calculate u.
-1, -2/7, 0, 2/3, 1
Let v(i) be the third derivative of i**8/90720 - i**7/3780 + i**6/360 + i**5/60 + 4*i**2. Let z(u) be the third derivative of v(u). Let z(y) = 0. What is y?
3
Let s(h) = -h**2 - h + 1. Let g(m) = m**2 - 9*m - 3. Let c(y) = 2*g(y) + 6*s(y). Determine i, given that c(i) = 0.
-6, 0
Let c(
|
{
"pile_set_name": "DM Mathematics"
}
|
ect the terms in -1233*o - o**2 - 3*o**2 + 615*o + 620*o.
-4*o**2 + 2*o
Collect the terms in u**3 - 44934891*u**2 + 44934891*u**2.
u**3
Collect the terms in -51*y**3 - y**3 + 182*y - 182*y + 2*y**3.
-50*y**3
Collect the terms in 118*i**3 + 1445 - 1445.
118*i**3
Collect the terms in 1 + 5467167238*s - 1 - 5467167240*s.
-2*s
Collect the terms in -562*w**2 - 23*w**3 - 3*w**3 + 34*w**3 - 9*w**3 + 562*w**2.
-w**3
Collect the terms in -6*k**2 + 6423*k**3 + 6*k**2.
6423*k**3
Collect the terms in 0*w**3 + 4*w - 32*w + 4*w**3 + 0*w**3 - 2*w**3.
2*w**3 - 28*w
Collect the terms in -233*v + 154*v - 498*v.
-577*v
Collect the terms in -30*m + 15*m - 5*m**2 + 9*m + 13*m.
-5*m**2 + 7*m
Collect the terms in 142400*z**2 + 142255*z**2 - 284654*z**2.
z**2
Collect the terms in -52*t + 22*t**3 + 68*t - 16*t.
22*t**3
Collect the terms in -71863*h - 71859*h - 71861*h - 71862*h + 287443*h.
-2*h
Collect the terms in -159*a - 397*a + 141*a - 136*a.
-551*a
Collect the terms in 94*l**2 + 259*l**2 - 4*l**2.
349*l**2
Collect the terms in 8*t - 7 - 1 - 10 + 18.
8*t
Collect the terms in -23*k**2 + 6*k**2 - 111*k**2.
-128*k**2
Collect the terms in -188*s + 165*s - 51 + 42 - 145.
-23*s - 154
Collect the terms in -2*b + 0*b - 8 + 0*b + 9*b - 8*b.
-b - 8
Collect the terms in 116875*b**3 - 233738*b**3 + 116879*b**3.
16*b**3
Collect the terms in 362 + 381 - 1465 + 358 + 364 + 6*s**2.
6*s**2
Collect the terms in 12*r**3 + 4266955*r - 4266955*r.
12*r**3
Collect the terms in -2 + 13*k - 3*k + 150*k**3 - 525*k**3.
-375*k**3 + 10*k - 2
Collect the terms in 15*a - 7*a - 10*a - 5*a + 1 + 2*a.
-5*a + 1
Collect the terms in 176*j + 2 - 61*j - 93*j.
22*j + 2
Collect the terms in -2*v**3 - 677 - 76*v + 76*v + 1351 - 674.
-2*v**3
Collect the terms in 262*m**3 - 14*m**2 - 20*m**3 + 377*m**3 - 78*m**3.
541*m**3 - 14*m**2
Collect the terms in 1464*x - 6299*x + 2071*x - 11166*x.
-13930*x
Collect the terms in 14*c - 29*c - 1242*c**2 + 1248*c**2 + 15*c.
6*c**2
Collect the terms in 8*u**3 + 290*u**2 - 5*u**3 - 15*u**3 - 290*u**2.
-12*u**3
Collect the terms in -1397*o**3 - 74*o**2 - 2923*o**3 + 75*o**2.
-4320*o**3 + o**2
Collect the terms in -596*t**3 + 736*t**3 - 203*t**3.
-63*t**3
Collect the terms in -1654*g**2 + 543*g**2 + 551*g**2 + 4 - 4 + 561*g**2.
g**2
Collect the terms in -63 + 275*f**3 - 273*f**3 + 63.
2*f**3
Collect the terms in -j**2 + 1999 + 1275 - 3274.
-j**2
Collect the terms in 4 + 4*c**2 + 10 + 4*c**2 - c**2.
7*c**2 + 14
Collect the terms in 49985*q - 24897*q - 24878*q.
210*q
Collect the terms in 99*a - 47*a - 467*a**2 - 52*a.
-467*a**2
Collect the terms in t**2 - 5*t**2 - 11*t**3 + 33*t**3 - 6*t.
22*t**3 - 4*t**2 - 6*t
Collect the terms in -197*a**2 + 96*a**2 + 102*a**2.
a**2
Collect the terms in -270*s**2 + 268*s**2 + 9 - 46*s**3 - 9.
-46*s**3 - 2*s**2
Collect the terms in 4*i**2 - 144*i - 3*i**2 + 55*i - 773*i.
i**2 - 862*i
Collect the terms in 1110*r**3 + 1106*r**3 - 2210*r**3.
6*r**3
Collect the terms in 295*p**2 - 62*p**2 - 62*p**2 - 112*p**2 - 60*p**2.
-p**2
Collect the terms in 11*d + 10*d**2 + 51*d**3 - 11*d**2 + d**2.
51*d**3 + 11*d
Collect the terms in -95 + 4*j + j + j - j.
5*j - 95
Collect the terms in 1335*w - 306*w + 818*w - 1.
1847*w - 1
Collect the terms in -43*v**2 - 2780 + 5560 - 2780.
-43*v**2
Collect the terms in -50*u**2 + 9 + 12 + 46*u**2.
-4*u**2 + 21
Collect the terms in 2492*s**3 - 2*s**2 + 1698*s**3 + 2*s**2.
4190*s**3
Collect the terms in -4009*d**2 - 1 + 3968*d**2 - 5.
-41*d**2 - 6
Collect the terms in -1374*a**3 + 4104*a**3 - 1361*a**3 - 1367*a**3 - 4 + 4.
2*a**3
Collect the terms in 130*h**3 + 0*h + 0*h - 11 - 111*h**3.
19*h**3 - 11
Collect the terms in -2043*o**3 + 0*o - o + o + 4.
-2043*o**3 + 4
Collect the terms in 23*s**2 - 10*s**2 - 51*s**2 + 34*s**2.
-4*s**2
Collect the terms in 488*q**2 + 491*q**2 - 4 + 490*q**2 - 1460*q**2.
9*q**2 - 4
Collect the terms in 50*b**3 - 40*b**3 + 39*b - 3*b**3 - 9*b**3.
-2*b**3 + 39*b
Collect the terms in -383*x + 543*x - 156*x.
4*x
Collect the terms in -4*x**2 + 14*x**2 - 3*x + 5 + 8*x**2 + 2*x**2.
20*x**2 - 3*x + 5
Collect the terms in 26919 + 2*t**2 - 13435 - 13484.
2*t**2
Collect the terms in 79*a + 78*a + 77*a - 405*a + 78*a + 89*a.
-4*a
Collect the terms in 306*m + 468*m - 88*m.
686*m
Collect the terms in -3413 + 3413 + 3*h.
3*h
Collect the terms in -k**3 + 495455370*k - 2*k**2 - 495455370*k.
-k**3 - 2*k**2
Collect the terms in -31*r + 6*r**3 + 94*r - 63*r.
6*r**3
Collect the terms in -66*y - 1322*y**3 + 40*y + 26*y.
-1322*y**3
Collect the terms in -943*y**2 + 34308 - 34308.
-943*y**2
Collect the terms in -401*x**2 - 30*x**2 - 227*x**2 - 26*x**2.
-684*x**2
Collect the terms in 11*o**3 + 710546*o**2 - 710546*o**2.
11*o**3
Collect the terms in 0 - 241*q**2 - 34*q + 35*q + 0 - q**3.
-q**3 - 241*q**2 + q
Collect the terms in -6*m**2 + 0*m**3 + 2*m**3 - 76*m**2 - 86*m**2.
2*m**3 - 168*m**2
Collect the terms in 32894*f - 32894*f + 3*f**2.
3*f**2
Collect the terms in 124*s + 55*s + 179*s + 2 + 264*s.
622*s + 2
Collect the terms in -95*b + 228*b + 185*b.
318*b
Collect the terms in -400*p**2 + 623 - 623.
-400*p**2
Collect the terms in -4105*a**2 + 8706*a**2 - 4598*a**2.
3*a**2
Collect the terms in 5*g**2 - 1 + 1 - 4*g**2 + 10*g**2.
11*g**2
Collect the terms in 4415*d + 4418*d - 8835*d.
-2*d
Collect the terms in -q**2 + 24229*q - 24229*q.
-q**2
Collect the terms in -2*c + 474*c**3 - 2352*c**3 + 3*c - c.
-1878*c**3
Collect the terms in -191 - 3*t**3 - 5*t**2 + t**3 - 2*t**2 + t**2.
-2*t**3 - 6*t**2 - 191
Collect the terms in 0 + 0 - 89*l**2 - 7 + 5.
-89*l**2 - 2
Collect the terms in -18*x**3 + 231*x + 15*x**3 + 35*x.
-3*x**3 + 266*x
Collect the terms in -2*u**2 - 855010*u + 855010*u.
-2*u**2
Collect the terms in -103534*v - 7 + 103737*v + 7.
203*v
Collect the terms in 318*d - 1585*d + 317*d + 311*d + 313*d + 325*d.
-d
Collect the terms in 9*a + 23*a**3 - 5*a - 14*a - 2*a**2 - 28*a.
23*a**3 - 2*a**2 - 38*a
Collect the terms in 3*p**2 - 2*p**2 + 34*p + 33*p**3 - p**2 - 31*p.
33*p**3 + 3*p
Collect the terms in -143*c + 50*c + 21*c + 45*c + 8*c**3.
8*c**3 - 27*c
Collect the terms in -3*n - 139 + 4*n + 0*n + 1006.
n + 867
Collect the terms in 151*m**2 + 3*m - 3*m - 315*m**2 + 153*m**2.
-11*m**2
Collect the terms in -705*l**2 + 3*l**3 + 1423*l**2 - 718*l**2.
3*l**3
Collect the terms in 5*r**3 - 11*r**3 + 8*r**3 - r**3 + 2*r**3.
3*r**3
Collect the terms in 56 - 138 + 20 + 27 - 2*x**3 + 35.
-2*x**3
Collect the terms in -56*n**3 - 26*n**3 - 10*n**3.
-92*n**3
Collect the terms in -49467095*g**2 + 1 + 49467217*g**2 - 1.
122*g**2
Collect the terms in 23*a - 38 + 18 - 46*a + 20 + 19*a.
-4*a
Collect the terms in 0*y**2 + 4*y + 9*y**2 - 7*y**2 - 7*y**2 - y**2.
-6*y**2 + 4*y
Collect the terms in 21 - 12*v - 13*v - 14*v + 17 + 49*v.
10*v + 38
Collect the terms in -37*x**3 + 30*x**3 - 136*x**3 - 210*x**3.
-353*x**3
Collect the terms in -607 - 11 - 4*x + 202 - 302.
-4*x - 718
Collect the terms in -5411*q + 5411*q - 9*q**2 - 12*q**2 + 10*q**2 - 12*q**2.
-23*q**2
Collect the terms in -43*v**2 + 30*v**2 + 57*v**2 + 189*v**2.
233*v**2
Collect the terms in -11*t**3 + 25*t**3 - 8*t**3 - 11*t**3 - 7*t**3 + 11*t**3.
-t**3
Collect the terms in 885*w**3 - 24 + 852*w**3 - 1736*w**3.
w**3 - 24
Collect the terms in -48*p**3 + 8119*p**3 - 208*p**3.
7863*p**3
Collect the terms in -11 + 11 + 121883*r.
121883*r
Collect the terms in -z**2 + 28*z**3 - 35*z**3 - 405 + 405.
-7*z**3 - z**2
Collect the terms in 289*x**3 + 933*x**3 + 502*x**3.
1724*x**3
Collect the terms in 341*r**3 - 198*r**3 - 136*r**3.
7*r**3
Collect the terms in 29*f**3 - 19860 + 19860.
29*f**3
Collect the terms in -1367 + 2*t + 513 + 846.
2*t - 8
Collect the terms in 10*w + 11*w + 12*w - 2*w - 36*w.
-5*w
Collect the terms in 235554 + 5*w - 9*w - 235554.
-4*w
Collect the terms in 210*z**2 - 49*z - 54*z - 52*z + 155*z.
210*z**2
Collect the terms in -247*v - 295*v - 84*v - 174*v - 1 + 177*v.
-623*v - 1
Collect the terms in -30 - 38 + 4*q - 97.
4*q - 165
Collect the terms in 1490*k - 4467*k + 1485*k + 1486*k.
-6*k
Collect the terms in -36*l**3 + 59701*l - 59701*l.
-36*l**3
Collect the terms in 52*q + 44*q + 55*q - 94*q.
57*q
Collect the terms in -q**3 + 4*q**3 + 2*q**3 + 4*q**3.
9*q**3
Collect the terms in 6*h**3 + 268*h - 2*h**3 - 813*h + 269*h + 276*h.
4*h**3
Collect the terms in h**3 - 61*
|
{
"pile_set_name": "DM Mathematics"
}
|
472.
(s - 92)*(s - 4)**2
Factor 4*n**4 + 236*n**3 + 232*n**2.
4*n**2*(n + 1)*(n + 58)
Factor 10*v**2 + 154*v/3 + 20/3.
2*(v + 5)*(15*v + 2)/3
Factor -s**5 + 12*s**4 + 43*s**3 + 30*s**2.
-s**2*(s - 15)*(s + 1)*(s + 2)
Let 5*b**3 - 45*b**2 + 70*b = 0. Calculate b.
0, 2, 7
Solve -4*t**3/5 - 12*t**2 - 152*t/5 - 96/5 = 0.
-12, -2, -1
Find d such that -2*d**4/7 - 162*d**3/7 + 72*d**2 = 0.
-84, 0, 3
Suppose 8*b**2 - 10*b/3 + 2/9 = 0. What is b?
1/12, 1/3
Solve l**5/9 + 4*l**4/9 - 16*l**2/9 - 16*l/9 = 0 for l.
-2, 0, 2
Determine g so that 2*g**5/9 + 10*g**4/9 + 2*g**3 + 14*g**2/9 + 4*g/9 = 0.
-2, -1, 0
Factor -2*d**2 + 1456*d - 264992.
-2*(d - 364)**2
Suppose -3*h**4 - 363*h**3 - 336*h**2 + 2916*h + 4320 = 0. What is h?
-120, -2, 3
Solve -3*m**2/2 - 63*m/2 - 81 = 0.
-18, -3
Solve 2*o**4/7 - 4*o**2/7 + 2/7 = 0 for o.
-1, 1
Factor t**4/7 - 4*t**3/7 - 18*t**2/7 - 20*t/7 - 1.
(t - 7)*(t + 1)**3/7
Suppose 5*d**4 + 10*d**3 - 215*d**2 + 260*d + 480 = 0. What is d?
-8, -1, 3, 4
Suppose 2*a**5 + 18*a**4 - 50*a**3 - 58*a**2 + 96*a + 88 = 0. Calculate a.
-11, -1, 2
Determine i so that 45*i**2/2 - 425*i/2 - 125 = 0.
-5/9, 10
Factor 5*h**4 + 30*h**3 - 15*h**2 - 100*h - 60.
5*(h - 2)*(h + 1)**2*(h + 6)
Determine w so that -3*w**5 - 78*w**4 - 303*w**3 + 2148*w**2 - 3060*w + 1296 = 0.
-18, -12, 1, 2
Find l, given that -2*l**4/3 + 34*l**3/3 - 10*l**2 - 34*l/3 + 32/3 = 0.
-1, 1, 16
Let -x**4 + 39*x**3 + 40*x**2 = 0. Calculate x.
-1, 0, 40
Factor -m**4/6 + 4*m**3/3 + 19*m**2/6 + 5*m/3.
-m*(m - 10)*(m + 1)**2/6
Let -3*m**3 + 831*m**2 + 834*m = 0. What is m?
-1, 0, 278
Find g such that -5*g**3 - 400*g**2 - 9360*g - 51840 = 0.
-36, -8
Factor 3*f**3 + 9*f**2 + 6*f.
3*f*(f + 1)*(f + 2)
Let x**5/5 + 13*x**4/5 + 16*x**3/5 - 188*x**2/5 + 64*x/5 + 256/5 = 0. What is x?
-8, -1, 2
Factor 4*q**3/7 - 6*q**2 + 18*q/7 + 20/7.
2*(q - 10)*(q - 1)*(2*q + 1)/7
Factor 2*o**2 - 46*o + 264.
2*(o - 12)*(o - 11)
Determine m so that 4*m**4 + 98*m**3 + 228*m**2 + 178*m + 44 = 0.
-22, -1, -1/2
Factor -c**5 - 122*c**4 - 3340*c**3 + 23048*c**2 - 48128*c + 32768.
-(c - 2)**3*(c + 64)**2
Find i such that -5*i**2 - 275*i + 1180 = 0.
-59, 4
Solve -2*w**5/7 - 1392*w**4/7 + 1396*w**3/7 + 1392*w**2/7 - 1394*w/7 = 0.
-697, -1, 0, 1
Suppose u**5/3 + u**4/3 - u**3/3 - u**2/3 = 0. What is u?
-1, 0, 1
Factor -25*g**4 + 3260*g**3 - 106925*g**2 + 42250*g.
-5*g*(g - 65)**2*(5*g - 2)
Solve m**5/7 - 9*m**4/7 + m**3 + 9*m**2/7 - 8*m/7 = 0.
-1, 0, 1, 8
Let -4*z**4 + 8*z**3 + 44*z**2 - 48*z = 0. What is z?
-3, 0, 1, 4
Determine g, given that -4*g**4/3 + 148*g**3/3 = 0.
0, 37
Solve g**3/5 + 66*g**2 = 0.
-330, 0
What is m in m**4/3 - 2*m**3/3 - m**2 = 0?
-1, 0, 3
What is v in -v**5 - 30*v**4 - 28*v**3 + 30*v**2 + 29*v = 0?
-29, -1, 0, 1
Factor -6*m**3 - 639*m**2 - 1566*m - 624.
-3*(m + 2)*(m + 104)*(2*m + 1)
Solve 2*x**5 + 24*x**4 + 38*x**3 - 24*x**2 - 40*x = 0.
-10, -2, -1, 0, 1
Solve -2*j**2/7 - 78*j/7 - 148/7 = 0 for j.
-37, -2
Determine x so that -6*x**5/17 + 548*x**4/17 - 12314*x**3/17 - 9756*x**2/17 + 29992*x/17 - 8464/17 = 0.
-2, 1/3, 1, 46
Factor 3*w**2 + 27*w + 24.
3*(w + 1)*(w + 8)
Solve -2*t**4/15 + 34*t**3/15 - 62*t**2/15 + 2*t = 0 for t.
0, 1, 15
Let b**5 - 10*b**4 + 33*b**3 - 40*b**2 + 16*b = 0. Calculate b.
0, 1, 4
Find z, given that -4*z**3 + 100*z**2 + 484*z - 580 = 0.
-5, 1, 29
Suppose 2*w**4 - 138*w**3 + 1078*w**2 + 138*w - 1080 = 0. Calculate w.
-1, 1, 9, 60
Let 5*l**3/4 - 75*l**2/4 - 185*l - 165 = 0. What is l?
-6, -1, 22
Determine m, given that -3*m**2 + 3 = 0.
-1, 1
Factor -s**3/3 - 23*s**2/3 - 22*s/3.
-s*(s + 1)*(s + 22)/3
Factor 5*u**3/2 - 815*u**2/2 + 1615*u/2 - 805/2.
5*(u - 161)*(u - 1)**2/2
Suppose 2*h**5 - 28*h**4 + 144*h**3 - 324*h**2 + 270*h = 0. What is h?
0, 3, 5
Solve 2*i**3 - 12*i**2 + 10*i + 24 = 0 for i.
-1, 3, 4
Find o such that -5*o**5/2 - 43*o**4/6 + 7*o**3/2 + 43*o**2/6 - o = 0.
-3, -1, 0, 2/15, 1
Factor -g**2/7 - 18*g/7 - 32/7.
-(g + 2)*(g + 16)/7
Factor p**4/4 + 3*p**3 - 3*p**2/4 - 19*p/2 - 6.
(p - 2)*(p + 1)**2*(p + 12)/4
Factor -2*w**2/5 + 108*w/5 + 592.
-2*(w - 74)*(w + 20)/5
Factor 2*z**3 - 138*z**2 - 140*z.
2*z*(z - 70)*(z + 1)
Determine i so that -2*i**4/15 + 16*i**3/3 - 160*i**2/3 = 0.
0, 20
Let 9*g**5/8 - 15*g**4 + 42*g**3 - 189*g**2/4 + 183*g/8 - 15/4 = 0. Calculate g.
1/3, 1, 10
Factor 2*n**3 + 114*n**2 - 8*n - 456.
2*(n - 2)*(n + 2)*(n + 57)
Factor -w**2 - 371*w - 1104.
-(w + 3)*(w + 368)
Let -4*z**2/7 + 72*z/7 - 128/7 = 0. What is z?
2, 16
Find b such that 147*b**2 + 66864*b + 7603392 = 0.
-1592/7
Find w such that w**2/2 - 53*w/6 - 3 = 0.
-1/3, 18
Factor 2*w**5 - 10*w**4 - 16*w**3 + 24*w**2.
2*w**2*(w - 6)*(w - 1)*(w + 2)
Factor -4*u**2 + 100*u - 96.
-4*(u - 24)*(u - 1)
Suppose 2*d**5/3 + 20*d**4/3 + 24*d**3 + 116*d**2/3 + 86*d/3 + 8 = 0. Calculate d.
-4, -3, -1
Factor j**2 - j - 72.
(j - 9)*(j + 8)
Let -5*b**4/2 - 270*b**3 - 1065*b**2/2 - 265*b = 0. What is b?
-106, -1, 0
Solve -c**2 + 9594*c - 23011209 = 0 for c.
4797
Factor -m**2/4 + 929*m/4 + 931/2.
-(m - 931)*(m + 2)/4
Determine u so that 6*u**5/19 + 1642*u**4/19 + 113688*u**3/19 + 182776*u**2/19 - 150144*u/19 - 147968/19 = 0.
-136, -2, -2/3, 1
Factor 2*x**3/7 + 10*x**2/7 - 64*x/7 + 72/7.
2*(x - 2)**2*(x + 9)/7
Solve -2*s**3 - 200*s**2 + 2158*s - 4620 = 0.
-110, 3, 7
Factor -d**3/2 - 9*d**2/2 + 54.
-(d - 3)*(d + 6)**2/2
Let -2*q**2/3 + 11*q/3 - 5 = 0. What is q?
5/2, 3
Factor 5*l**4 + 5*l**3 - 165*l**2 + 315*l.
5*l*(l - 3)**2*(l + 7)
Factor -18*v**2 + 326*v + 1092.
-2*(v - 21)*(9*v + 26)
Factor s**2 - 516*s + 66564.
(s - 258)**2
Solve 3*x**2/2 - 54*x + 192 = 0.
4, 32
Factor 2*m**4/23 + 8*m**3/23 - 6*m**2/23 - 36*m/23.
2*m*(m - 2)*(m + 3)**2/23
Factor 5*w**4 + 370*w**3 - 2355*w**2 + 3580*w - 1600.
5*(w - 4)*(w - 1)**2*(w + 80)
Factor f**2 - 66*f + 128.
(f - 64)*(f - 2)
Factor h**2/9 + 184*h/9 + 61/3.
(h + 1)*(h + 183)/9
Solve -g**4 - 14*g**3 - 72*g**2 - 162*g - 135 = 0.
-5, -3
Solve -1008*w**5 + 2496*w**4 + 4148*w**3 - 8484*w**2 + 2440*w - 192 = 0.
-2, 1/6, 8/7, 3
Factor 3*t**2/8 + 3*t - 15/2.
3*(t - 2)*(t + 10)/8
Factor 21*v**2 - 132*v + 36.
3*(v - 6)*(7*v - 2)
Factor m**5/6 + m**4/2 - 5*m**3/6 - m**2/2 + 2*m/3.
m*(m - 1)**2*(m + 1)*(m + 4)/6
Factor -q**4/4 - 29*q**3/4 - 297*q**2/4 - 1215*q/4 - 729/2.
-(q + 2)*(q + 9)**3/4
Find z, given that 5*z**4 + 1010*z**3 - 2035*z**2 + 1020*z = 0.
-204, 0, 1
Factor 5*g**5 - 25*g**4 + 45*g**3 - 35*g**2 + 10*g.
5*g*(g - 2)*(g - 1)**3
Factor v**2/2 - 77*v/2.
v*(v - 77)/2
Solve -2*f**5/9 + 36*f**4 - 13756*f**3/9 + 51512*f**2/9 - 21014*f/3 + 24964/9 = 0 for f.
1, 2, 79
Determine s so that 3*s**3 + 18*s**2 - 27*s - 42 = 0.
-7, -1, 2
Find x, given that -x**5 + 113*x**4 - 333*x**3 + 331*x**2 - 110*x = 0.
0, 1, 110
Factor u**3/3 + 4*u**2/3 - 16*u/3 - 64/3.
(u - 4)*(u + 4)**2/3
Factor -2*r**3/3 - 30*r**2 - 88*r/3.
-2*r*(r + 1)*(r + 44)/3
Factor -6*p**3/11 - 330*p**2 + 3636*p/11.
-6*p*(p - 1)*(p + 606)/11
Find u such that -2*u**4/21 + 2*u**3/7 + 8*u**2/21 - 8*u/7 = 0.
-2, 0, 2, 3
Factor -3*v**3/4 + 6*v**2 - 15*v/4 - 21/2.
-3*(v - 7)*(v - 2)*(v + 1)/4
Solve n**2/3 - 7*n/3 - 8/3 = 0.
-1, 8
Find k, given that -4*k**5 - 4*k**4 + 48*k**3 + 112*k**2 + 64*k = 0.
-2, -1, 0, 4
Factor -2*x**2 - 60*x + 128.
-2*(x - 2)*(x + 32)
Factor 2*h**2/3 + 8*h/3 + 8/3.
2*(h + 2)**2/3
Factor -p**4/3 + 2*p**3 + 39*p**2 + 90*p.
-p*(p - 15)*(p + 3)*(p + 6)/3
What is b in b**2 + 822*b + 168921 = 0?
-411
Factor -2*j**2/7 - 200*j/7 - 582/7.
-2*(j + 3)*(j + 97)/7
Suppose 15*p**4 + 190*p**3 + 840*p**2 + 1440*p + 640 = 0. Calculate p.
-4, -2/3
What is n in -2*n**2/7 - 2*n/7 + 12/7 = 0?
-3, 2
Let 5*q**2 + 1890*q + 3760 = 0. Calculate q.
-376, -2
Determine v so that -v**5/4 + 39*v**4/4 - 355*v**3/4 - 603*v**2/4 + 530*v - 300 = 0.
-3, 1, 20
Determine d, given that 60*d**4 - 427*d**3 + 407*d**2 - 28*d - 12 = 0.
-2/15, 1/4, 1, 6
Determine g so that 4*g**5/7 + 256*g**4/7 + 36*g**3 = 0.
-63, -1, 0
Determine y, given that y**3/7 - 18*y**2/7 - 88*y/7 = 0.
-4, 0, 22
Suppose 4*v**2/9 - 152*v/9 = 0. What is v?
0, 38
Solve 3*o**2 + 438*o + 435 = 0.
-145, -1
Factor -5*g**5 + 80*g**3 - 190*g**2 + 165*g - 50.
-5*(g - 2)*(g - 1)**3*(g + 5)
Find b such that b**5/2 - 27*b**4 + 195*b**3/2 + 125*b**2 = 0.
-1, 0, 5, 50
Factor -2*w**2/11 + 1466*w/11 + 2940/11.
-2*(w - 735)*(w + 2)/11
Suppose -f**2/6 + 1445*f/3 + 2891/6 = 0. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
2*u**2 + 3*l**2 - 9*l + 2*u**2 - u wrt l.
-24*l**2*u**2 - 2*u**2 + 6
What is the third derivative of -1832*b**2*o**3 - 16*b**2*o**2 + 2*o**2 + 2 wrt o?
-10992*b**2
What is the third derivative of s**3*y**4 + 2*s**3*y**2 + s**2*y**2 + 133*s**2 - 163*y**4 wrt y?
24*s**3*y - 3912*y
What is the second derivative of 2388*g**3 + g**2 - 8877*g wrt g?
14328*g + 2
What is the third derivative of -12*q**2*t**3*u**2 + 25*q**2*t**3 + q**2*t**2*u**2 + 24*q**2*t**2*u - 2*q**2*u wrt t?
-72*q**2*u**2 + 150*q**2
What is the second derivative of -53*q**3 - 21*q**2 + 2902*q?
-318*q - 42
Find the third derivative of 9295*i**3*w - 5*i**2*w - 8*i*w - 6*w + 2 wrt i.
55770*w
Differentiate -374*s + 370.
-374
What is the third derivative of -2*v**4 - 1382*v**3 + 1630*v**2?
-48*v - 8292
Differentiate -138*t - 339 wrt t.
-138
What is the second derivative of 13*p**3 - 4*p**2 - 233*p?
78*p - 8
What is the second derivative of -901*a**4 - 2*a - 209?
-10812*a**2
Find the first derivative of -99*u - 18 wrt u.
-99
Find the second derivative of 304*j**4*t + j**3 + j**2*t + j*t + 5984*j - 1 wrt j.
3648*j**2*t + 6*j + 2*t
Find the second derivative of -35*z**5 - 2456*z.
-700*z**3
Find the second derivative of -173*g**2*x**3 + 2*g*x + 14*x**3 wrt g.
-346*x**3
Find the second derivative of -l**5*x + 442*l**4*x + 592*l*x - 3*l wrt l.
-20*l**3*x + 5304*l**2*x
What is the first derivative of -235*d**3 - 178 wrt d?
-705*d**2
Find the second derivative of o**5 + 240*o**3 - 8*o**2 - o - 3179 wrt o.
20*o**3 + 1440*o - 16
What is the second derivative of 42*c**4*n**2 + 2*c**2*n**3 + 2*c*n**3 + 2*c*n**2 + 20*c*n wrt c?
504*c**2*n**2 + 4*n**3
What is the third derivative of 106*c**4*p - 17*c**3*p + 2*c**2*p + 12*c**2 - 5*c wrt c?
2544*c*p - 102*p
Find the third derivative of -5171*j**6 + 2*j**2 - j + 22 wrt j.
-620520*j**3
What is the third derivative of 2*k**3*n*q**2*s + 4*k**3*n*q - 7*k**3*q**2 + k**2*n + k*n*q**2 + 30*k*n*s - k*s wrt k?
12*n*q**2*s + 24*n*q - 42*q**2
Find the third derivative of 36*o**4 - 11*o**3 - o**2 + 419*o wrt o.
864*o - 66
What is the derivative of -1874*g + 1087?
-1874
What is the third derivative of -6*w**3*y**4 - 3*w**3 + 14*w**2*y**4 + 45*y**2 wrt y?
-144*w**3*y + 336*w**2*y
Find the second derivative of -64*b**2*f**3 + b*f**3 + 4*b*f + 5*f**3 + 48*f wrt b.
-128*f**3
Differentiate k*l*r**2*v + 3*k*l*v + 3*k*r*v - 2*k - 371*l - 160*r**2 with respect to r.
2*k*l*r*v + 3*k*v - 320*r
Find the first derivative of -10*f*p + 78*f - 225*p + 56 wrt p.
-10*f - 225
What is the second derivative of p*s*u + 2*p*u**3 - p*u + 31*p - 2*s*u**3 - 3*s*u - 108*u**4 wrt u?
12*p*u - 12*s*u - 1296*u**2
Find the third derivative of c*s**5 + 105*c*s + 53*s**6 - 5*s**2 wrt s.
60*c*s**2 + 6360*s**3
Find the first derivative of -2*h**2 + 149*h - 309 wrt h.
-4*h + 149
What is the derivative of -3613*z**2 - 35 wrt z?
-7226*z
Find the second derivative of -26*c*x**2*z - 6*c*x*z**3 - 2*c*x*z**2 + 11*x**2*z**3 - 20*x*z - 3*z wrt x.
-52*c*z + 22*z**3
What is the third derivative of -37*q**4 + q**3 - 3*q**2 - 76?
-888*q + 6
Differentiate -31*b**3*y - 328*b**3 - 7*b**2*y**2 wrt y.
-31*b**3 - 14*b**2*y
Find the third derivative of 24*d**3*u**3 - d**3*u**2 - 6*d**2*u**3 + 226*d*u**2 wrt u.
144*d**3 - 36*d**2
Find the third derivative of -2*u**4 + 783*u**3 + 2*u**2 + 2*u + 115.
-48*u + 4698
Find the third derivative of 19540*t**5 + 41*t**2 - 78*t wrt t.
1172400*t**2
Find the third derivative of 17*p**6 - p**4 + 146*p**2 wrt p.
2040*p**3 - 24*p
Find the third derivative of 3*d**3*k**3*r**2 + 3*d**3*k**3*r - d**3*k**2*r + d**3*k*r**2 - 18*d**3*k wrt k.
18*d**3*r**2 + 18*d**3*r
Find the second derivative of -3*g**4 + 491*g**3 - g**2 - 2495*g wrt g.
-36*g**2 + 2946*g - 2
Find the third derivative of 5140*k**5 - 4220*k**2 + 1.
308400*k**2
Find the third derivative of 6*m**5 - 2*m**3 - 313*m**2.
360*m**2 - 12
What is the derivative of 5064*h - 1721?
5064
What is the second derivative of 5*a*h**2 + a - 822*h**2 - 668*h wrt h?
10*a - 1644
What is the second derivative of -61*b**2*o**2 - 2*b**2 - 5*b*o**2 + 6*b*o - 2*o**2 wrt b?
-122*o**2 - 4
What is the second derivative of -2*f**2*h*n**2*z + 10*f**2*h*z - 14*f**2*n*z - 4*f*n**2*z + 5*f*n**2 - 4*h*n**2*z - 2*h*z wrt f?
-4*h*n**2*z + 20*h*z - 28*n*z
What is the first derivative of -42*u**2 - u - 603 wrt u?
-84*u - 1
What is the first derivative of 873*h**2 + 269?
1746*h
Differentiate 15*n**4 - 12*n**3 - 31 wrt n.
60*n**3 - 36*n**2
What is the third derivative of -222*m**3*y - 3*m**2*y - m**2 + 11*y wrt m?
-1332*y
What is the third derivative of 4249*w**6 + 12272*w**2?
509880*w**3
Find the first derivative of 3517*k**2*s**3 + k**2*s**2 + 3*s**3 + 929*s wrt k.
7034*k*s**3 + 2*k*s**2
Find the second derivative of 298*m**5 - m - 149.
5960*m**3
Find the second derivative of -9100*h**2 + 5112*h.
-18200
What is the derivative of -8*h*w**2*x + 2*h*w**2 + 269*h*w*x**2 + h*x + 283 wrt x?
-8*h*w**2 + 538*h*w*x + h
What is the second derivative of -259*r**2 - r + 182?
-518
Find the third derivative of 422*o**4 - 9*o**2 - 3 wrt o.
10128*o
What is the third derivative of 2*h*r**3*w**3 - 2*h*r**3*w**2 - 66*h*r**2*w**3 - 9057*h*r*w**2 + 21*h*w**3 + w wrt w?
12*h*r**3 - 396*h*r**2 + 126*h
Find the second derivative of 3*i**5 + 56*i**4 + 9*i**3 + 867*i - 4 wrt i.
60*i**3 + 672*i**2 + 54*i
Find the third derivative of b**3*v**2 - 1262*b**3 - 2*b**2*v**2 - 1859*b**2*v wrt b.
6*v**2 - 7572
Find the second derivative of -11*d**3*y + 4*d**2*y - 1099*d*y wrt d.
-66*d*y + 8*y
Find the second derivative of 15*o**2*y**5 + 212*o**2 + 9*o*y**5 - 2*o - 2*y wrt y.
300*o**2*y**3 + 180*o*y**3
Find the second derivative of 7*j**2*s*x**2 - 3*j**2*x**2 + j**2*x + 2*j**2 + 249*j*s*x - 16*x**2 wrt x.
14*j**2*s - 6*j**2 - 32
Find the first derivative of 1601*r*v**2 + 650*v**2 wrt r.
1601*v**2
What is the derivative of 760*n - 824 wrt n?
760
Differentiate -50*s**3 - 3*s**2 + 1728 wrt s.
-150*s**2 - 6*s
What is the second derivative of 2119*i**2 + 672*i?
4238
Find the second derivative of -n**2*t**2*z + 4*n**2*t*z + 17*n**2*z**3 + 2*n*t**3*z**4 - 2*n*t**3*z - 4*n*t*z wrt z.
102*n**2*z + 24*n*t**3*z**2
What is the third derivative of 5142*n**3 - 8950*n**2 wrt n?
30852
Find the second derivative of -h**3 - 251*h**2 - 2*h - 266 wrt h.
-6*h - 502
Find the second derivative of -230*s**3 - 2*s - 60.
-1380*s
Find the second derivative of -98*c**5 - 4*c**2 - 1472*c.
-1960*c**3 - 8
Find the third derivative of 14*n**6 + 16*n**3 - 8*n**2 - 3 wrt n.
1680*n**3 + 96
Find the third derivative of -32*h**3*r**6 + 2*h**3*r**3 + 8*h**3*r + 10*r**2 wrt r.
-3840*h**3*r**3 + 12*h**3
Find the first derivative of 4*k**3 + 7*k**2*n + 3*k - 119*n wrt k.
12*k**2 + 14*k*n + 3
What is the second derivative of 2227*s**3 + s**2 + 2735*s wrt s?
13362*s + 2
What is the second derivative of -2*n**3*s**2 + 7*n**3*s - 6*n**3 - 152*n**2*s**3 + 2*n**2*s**2 - 2 wrt s?
-4*n**3 - 912*n**2*s + 4*n**2
Find the third derivative of -1126*w**5 - 396*w**2.
-67560*w**2
Find the third derivative of -4197*g**5*j - g**3*j**3 + 11*g**2*j**2 - 16*j**3 wrt g.
-251820*g**2*j - 6*j**3
Find the second derivative of -40*o**3*p**3 + o**3*p + 3*o**2*p**3 - 24*o*p**3 + 2*o*p**2 - 13*o*p wrt o.
-240*o*p**3 + 6*o*p + 6*p**3
What is the first derivative of -5503*u - 8561?
-5503
What is the third derivative of -2348*d**6*j - d**4*j + d**2 - 57*d*j - 20 wrt d?
-281760*d**3*j - 24*d*j
Differentiate -15784*z**4 - 9307.
-63136*z**3
Differentiate -8*m**2*s - 9988*m**2 - 26*m*s + 3*s with respect to s.
-8*m**2 - 26*m + 3
What is the third derivative of 476*f**3 - 125*f**2?
2856
Differentiate -2*b*f*l**2*q - 2*b*f*l*q - 11*b*l*q - 8*f*l**2 + 2*f*l + 3*f*q wrt b.
-2*f*l**2*q - 2*f*l*q - 11*l*q
Differentiate -4317*y**3 + 1385 with respect to y.
-12951*y**2
What is the third derivative of -5*s**4 - 330*s**3 + 68*s**2 + 3*s - 5?
-120*s - 1980
What is the first derivative of 12*f**2 - 10*f + 366?
24*f - 10
Find the third derivative of 277*o*s**4 - 3*o*s**3 + o*s**2 + 39*o + 10*s**2 wrt s.
6648*o*s - 18*o
Find the third derivative of -23*j**6 + 5*j**5 - 1333*j**2 wrt j.
-2760*j**3 + 300*j**2
What is the second derivative of 13*v**4 + 60*v**3 - 257*v + 1 wrt v?
156*v**2 + 360*v
Find the second derivative of 26239*w**4 - 7680*w wrt w.
314868*w**2
What is the third deriva
|
{
"pile_set_name": "DM Mathematics"
}
|
. Determine s(q(n)).
1444*n**2
Let u(g) = 4*g. Let a(l) be the second derivative of -8*l + 2*l**3 - 2*l - 12*l + 8*l. Calculate u(a(o)).
48*o
Let p(m) = -2 + 6 + 25*m - 1 - 146*m. Let h(w) = -w**2. What is p(h(u))?
121*u**2 + 3
Let s(q) = -9*q. Suppose -11*d = v - 7*d - 8, v + 4 = 2*d. Let l(b) be the third derivative of 1/30*b**5 + 0*b + v*b**3 - 4*b**2 + 0*b**4 + 0. What is s(l(g))?
-18*g**2
Let h(t) = 9 - 17 + 8 + 11*t**2. Let i(d) be the third derivative of -d**5/30 + 7*d**2. Calculate h(i(m)).
44*m**4
Let i(g) be the third derivative of -3*g**2 + 0*g**3 + 0*g + 0 + 1/6*g**4. Let a(o) = 5*o**2. What is i(a(z))?
20*z**2
Let w(g) = 25*g. Let u(l) = -13*l. Let s(k) = -13*u(k) - 6*w(k). Let y(b) = -3*b**2 + 6329 - 6329. Give y(s(i)).
-1083*i**2
Let d(p) = 1969*p. Let b(x) = 26*x**2. Give b(d(k)).
100800986*k**2
Let d be 18/30 - 84/15. Let s = 11 + d. Let i(n) = -s*n + 3*n - 57 + 57. Let h(g) = 5*g**2. Determine h(i(j)).
45*j**2
Let d(c) be the second derivative of -5*c**3/6 + 3*c. Let l(k) = -23*k**2 - 4. Let h(u) = -96*u**2 - 17. Let q(n) = -4*h(n) + 17*l(n). Give q(d(x)).
-175*x**2
Let h(q) = -59*q. Let j(c) = 30*c. Let i(b) = -3*h(b) - 5*j(b). Let r(s) = 5*s**2. What is r(i(p))?
3645*p**2
Let g(h) = -2*h. Let c(q) = -2 + 193*q + 0 - 2 - 188*q. Give g(c(k)).
-10*k + 8
Let g(y) = -40*y**2. Let q(l) be the first derivative of -5*l**3/3 - 41. Calculate g(q(z)).
-1000*z**4
Let p(t) = -5*t. Let y(g) be the first derivative of 28*g**3/3 + 27. Calculate p(y(n)).
-140*n**2
Let a(r) be the first derivative of -383*r**3/3 + 391. Let m(l) = l**2. Give a(m(j)).
-383*j**4
Let k(h) = 2*h. Let x(o) = -25 - 20*o + 64*o + 0 - 21*o - 22*o. Calculate x(k(r)).
2*r - 25
Let d(o) be the third derivative of o**5/12 - 6*o**2 + 4. Let s(a) = 9*a**2. Calculate d(s(b)).
405*b**4
Let a(r) be the first derivative of 1/2*r**2 + 1 + 0*r. Let z(u) = -18*u - 7. Let k(g) = 6*g + 2. Let b(i) = -7*k(i) - 2*z(i). Calculate a(b(p)).
-6*p
Let h(t) = -t**2 + 4*t. Let i(n) = -5*n**2 + 30*n. Let w(o) = 4*h(o) - i(o). Let g(c) = -5*c + 5*c - c**2. Give g(w(d)).
-d**4 + 28*d**3 - 196*d**2
Let v(h) = 3787705*h. Let t(a) = a**2. Calculate t(v(j)).
14346709167025*j**2
Let k(b) = -7 - 6 - 1 + 14 - b. Let z(w) = w + 136. Calculate z(k(v)).
-v + 136
Let f(b) = -89 - 28 - 3*b + 117. Let h(a) = -2*a**2 - 24. What is h(f(z))?
-18*z**2 - 24
Let m(s) = -4*s - 3*s + 448 - 2*s - 448. Let u(a) = -11*a. Calculate m(u(q)).
99*q
Let v(h) = 164*h - 78*h - 84*h. Let y(q) = -3*q**2 - 22*q. Determine y(v(d)).
-12*d**2 - 44*d
Let c(f) = 13*f + 9*f + 5*f - 25*f. Let s(r) be the second derivative of 5*r**3 - 134*r. Give c(s(m)).
60*m
Let l(d) = -8*d**2. Let u(j) = 4*j. Let f = -7 - -1. Let r(i) = -2. Let t(k) = k + 10. Let y(w) = 5*r(w) + t(w). Let h(x) = f*y(x) + 2*u(x). What is h(l(n))?
-16*n**2
Let k(j) = 3*j - 4. Let a(x) = 4*x**2 + 60*x - 80. Let n(b) = 3*a(b) - 60*k(b). Let l(d) = -8*d**2. Determine l(n(s)).
-1152*s**4
Let j(d) = 4*d**2 + 3*d. Let n(h) = 2*h**2 + 5*h - 5. Let z(a) = 2*a**2 + 6*a - 6. Let b(k) = -6*n(k) + 5*z(k). Calculate b(j(s)).
-32*s**4 - 48*s**3 - 18*s**2
Let s(l) = -18 + 209 - 6*l - 191. Let d = 6 + -4. Let b(n) = n - n - d*n. What is b(s(g))?
12*g
Let s(t) = -18*t**2. Let g(m) = -17*m**2 + 8*m + 8. Let j(u) = 2*u**2 - u - 1. Let d(z) = -3*g(z) - 24*j(z). Give d(s(p)).
972*p**4
Let f(i) = i**2 - 140*i + 5. Let u(c) = 182*c**2. Calculate f(u(z)).
33124*z**4 - 25480*z**2 + 5
Let p(v) be the third derivative of v**8/3360 + 11*v**5/60 - 5*v**2. Let z(l) be the third derivative of p(l). Let g(i) = 5*i**2. Determine g(z(f)).
180*f**4
Let n(d) = -8*d - 7. Let b(m) = -5*m - 5. Let f(z) = -7*b(z) + 5*n(z). Let y(a) = -3*a. Calculate y(f(h)).
15*h
Let v(z) = z. Let s = 74 + -70. Let q(c) = 3*c. Let m(w) = s*q(w) - 11*v(w). Let f(y) = 2*y - 17. Calculate f(m(l)).
2*l - 17
Let o(s) = s**2 - 13. Let c be o(-4). Let a(y) = -y + 7 - 7 + c*y. Let r(w) = -3*w - 5. Let d(i) = -2*i - 6. Let m(p) = -5*d(p) + 6*r(p). Calculate m(a(n)).
-16*n
Let q(z) = -7*z - 3. Let c(a) = -112*a - 49. Let t(p) = 3*c(p) - 49*q(p). Let x be 2/3 + (-8)/(-6). Let r(w) = -w**2 + 6 - w**x - 6. Calculate t(r(h)).
-14*h**2
Let j(k) = 133*k**2 - 2. Let g(s) = 8646*s**2 - 131. Let v(p) = 2*g(p) - 131*j(p). Let y(w) be the third derivative of -w**4/12 + 27*w**2. Give y(v(x)).
262*x**2
Let f(g) = -2*g. Let m(y) = -164345*y**2 - y. Calculate f(m(l)).
328690*l**2 + 2*l
Let h(c) be the third derivative of -c**5/15 + 1394*c**2. Let g(q) be the second derivative of 11*q**4/12 - q. Determine g(h(p)).
176*p**4
Let a(w) = -110*w**2 + 29*w**2 + 31*w**2 + 40*w**2. Let r(p) = -2*p**2. Give r(a(z)).
-200*z**4
Let r(g) be the first derivative of 65*g**2 + 483. Let k(j) = 2*j. Give k(r(p)).
260*p
Let y(v) = -20*v - v + 14*v + 6*v. Suppose 0*s = -4*s - k + 9, -k + 11 = 5*s. Let g(u) = -4*u**2 + 3*u - 9*u**s - 3*u. Give g(y(o)).
-13*o**2
Let s(l) = -1438*l**2. Let j(f) = -412*f**2. What is j(s(w))?
-851951728*w**4
Let f(h) = -35*h. Let w(o) = 88 - 88 + 21*o - 12*o. Determine w(f(d)).
-315*d
Let y(m) = 16*m - 5. Let i(p) = 24*p - 7. Let g(t) = 5*i(t) - 7*y(t). Suppose -4*s + 7*s - 3300 = 0. Let f(w) = -s + 1100 - w. What is g(f(q))?
-8*q
Let h(t) = -4*t**2. Suppose -4*j + 8 = -5*v, -5*v - 4*j - j + 10 = 0. Let s = -3 + 3. Let r(i) = -2*i + s*i + v*i. Calculate h(r(n)).
-16*n**2
Let p(m) = -5*m**2. Let v(i) = 139381*i. Give p(v(r)).
-97135315805*r**2
Let z(n) = 2*n - 19*n**2 + 2 + 6*n - 8*n. Let v(m) = 455*m**2 - 49. Let b(u) = -2*v(u) - 49*z(u). Let a(i) = -3*i. What is b(a(w))?
189*w**2
Let z(c) = -19*c - 4. Let l(y) = -69*y + 8. Determine z(l(h)).
1311*h - 156
Let z be (-9)/63 + 338/14. Let j(h) = -z + 11 + 13 - 20*h. Let r(s) = s. Calculate j(r(l)).
-20*l
Let o(d) = -42*d - 1. Let j(k) = -2. Let w(y) = -13*y + 156. Let r(h) = 78*j(h) + w(h). Calculate r(o(q)).
546*q + 13
Let v(k) = 861*k**2. Let z(g) be the second derivative of -g**4/6 + 574*g. Calculate z(v(n)).
-1482642*n**4
Let p(o) = 3*o**2. Let v(u) = 4379*u. Give p(v(i)).
57526923*i**2
Let f(l) be the first derivative of 3*l**2/2 - 152. Let s(k) = -27*k**2. Give f(s(n)).
-81*n**2
Let o(x) = -12*x. Let z(l) = 3553*l**2. What is z(o(w))?
511632*w**2
Let y(w) = -w**2 + 2*w. Let k(r) = 14*r + 9*r - 24*r. Let h(u) = -2*k(u) - y(u). Let z(v) = 7*v. What is h(z(g))?
49*g**2
Let t(j) be the third derivative of -7*j**2 + 0*j + 0*j**3 + 2/15*j**5 + 0*j**4 + 0. Let v(r) = -r**2. Give v(t(q)).
-64*q**4
Let l(c) = -12*c. Let r(b) = 14*b**2 - 9*b**2 + 4*b**2. Determine r(l(q)).
1296*q**2
Let l(a) = -4*a**2. Let m(x) = -31 + 3*x + 37 - 5. What is l(m(w))?
-36*w**2 - 24*w - 4
Let m(y) = 3*y**2. Suppose -5*o = -2*o - 3*f, 0 = -3*f + 9. Let j(l) be the second derivative of 1/6*l**4 + 0*l**o + 0 + 0*l**2 - 4*l. Give m(j(n)).
12*n**4
Suppose -4*l + 4*c - 3*c = -11, 5*l - 7 = -c. Let o(y) = -11*y**2 + 6*y**l - 2*y**2 + 6*y**2. Let w(j) = -3*j**2. Determine w(o(s)).
-3*s**4
Let a(s) be the first derivative of -385*s**3/3 - 710. Let c(t) = -t. What is c(a(n))?
385*n**2
Let g(j) = 7*j. Let r(y) = -334922*y**2. Give g(r(t)).
-2344454*t**2
Let i(t) = 26*t**2. Let f(p) = 6378 - 6378 - 12*p. Give f(i(j)).
-312*j**2
Let i(q) be the second derivative of -q**4/2 - 67*q. Let r(c) = -16*c**2. Calculate i(r(s)).
-1536*s**4
Let l(r) = r**2. Let f(y) = -1203*y**2 + 10*y + 5. Let q(o) = -7820*o**2 + 64*o + 32. Let d(w) = 32*f(w) - 5*q(w). Calculate l(d(t)).
364816*t**4
Let t(h) = -4*h + 6*h + 2*h. Let m be ((-11)/(-1))/(-9 + 10). Let g(p) = -8*p**2 + 20*p**2 - m*p**2. Calculate t(g(n)).
4*n**2
Let s(n) = -9*n**2 + 8*n + n - 8*n. Let k(a) be the first derivative of a**2 - 405. What is s(k(v))?
-36*v**2 + 2*v
Suppose -5*x + 7*x - 4 = 0. Let i(j) = j**x + 3*j**2 - 5*j**2. Let w(l) = 2*l. Give i(w(q)).
-4*q**2
Let l(s) = -2*s + 285711. Let i(p) = -2*p. What is i(l(a))?
4*a - 571422
Let r(q) = 8*q + 4. Let t(s) = -s - 1. Let o(w) = r(w) + 4*t(w). Let c = 9 + -9. Let a(u) = 0*u - u + c*u - u. Calculate o(a(m)).
-8*m
Let m(v) = -15*v**2. Let s(f) = 9 + 5 + 10*f**2 - 14 - 5*f**2. Calculate s(m(c)).
1125*c**4
Let r(u) = 2*u. Let y(n) be the third derivative of n**4/3 + 4*n**3/3 + 81*n**2. Calculate y(r(a)).
16*a + 8
Suppose -6*x = -x. Suppose x = -6*m + 8*m - 6. Let t(f) = m*f - 4*f + 0*f + 2*f. Let b(p) = 18*p**2. What is b(t
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{
"pile_set_name": "DM Mathematics"
}
|
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