text stringlengths 270 8.19k | meta dict |
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-5).
23
Let h = 5 - 0. Let o(f) = -f**3 + 5*f**2 - 2*f + 4. Determine o(h).
-6
Let f(j) = 2*j**2 + 4*j + 3. Let s = -29 - -26. Determine f(s).
9
Let x(i) be the second derivative of i**5/20 + 7*i**4/12 + 2*i**3/3 - 3*i**2 + 37*i. What is x(-6)?
6
Let i(j) be the second derivative of -j**3/6 - 2*j**2 - j. Let r be i(-6). Let t(x) = 0*x**2 - 6*x - 2*x**2 + 4*x**2 + r. Determine t(4).
10
Suppose -15 = -5*a + 5*y, -6*a + 2*a + 20 = 4*y. Let b(h) = h**2 - 4*h + 2. Give b(a).
2
Let q(i) = -i**2 + i. Let a(h) = -6*h**2 + 4*h. Let l(w) = -a(w) + 5*q(w). Give l(1).
2
Let j(s) = s - 3. Let k be j(5). Let u(n) = -n**2 - n**2 + 1 - k*n**2 + 3*n**2. Calculate u(2).
-3
Let v(l) = -l - 8*l - 5*l**2 - 6*l**2 + 2 + 10*l**2. Calculate v(-9).
2
Let x = 8 + -1. Let y = -12 + x. Let k(c) = c + 2. Determine k(y).
-3
Suppose 0 = 2*m - 2*d + 12, 5*d = -4*m + 2 + 10. Let i(o) be the third derivative of -o**6/120 - o**5/30 + o**4/12 + o**3/2 - 2*o**2. What is i(m)?
-1
Suppose -3*i + 1 = 5*t, -5*i + 2*t = -0*t - 43. Let m(o) = 5 + 5*o**2 - 5*o**2 - 7*o + i*o**2 - o**3. Determine m(6).
-1
Let h(c) = c + 1. Let b(j) = 2*j + 1. Let m(a) = -3*b(a) + 7*h(a). Calculate m(-8).
-4
Let w(c) = -c**3 + 4*c**2 + 6*c - 2. Suppose 2*j + 5*x - 11 = 0, -3*j - 2*x = -32 + 10. Let v be j/(-28) + (-37)/(-7). Give w(v).
3
Let o(c) be the first derivative of -c**2 - 9*c + 4. What is o(-6)?
3
Let o(i) = -3*i**3 - i**2 - i. Let c(r) = r**3 + 1. Let p(x) = -c(x) - o(x). Suppose -8 - 2 = -5*u. Suppose 0 = u*t - 4*t + 2. What is p(t)?
3
Suppose 0 = -3*d + 5*h - 1, 5*h - 3 = 6*d - 2*d. Let b(q) be the first derivative of q**2/2 + 4*q + 7. Determine b(d).
2
Let j = 8 - 3. Suppose 4*x + 1 = 4*v + 5, -j = 4*v - 3*x. Let n = v - -1. Let a(z) = -10*z**3 + z**2 - z - 1. What is a(n)?
11
Let f(x) = x**3 - 4*x**2 - 3*x - 3. Let q = -143 - -148. Calculate f(q).
7
Let c(p) = -5*p - 1. Let i(h) = -h**2 + 3*h + 2. Let k be i(-1). Give c(k).
9
Let d be ((-4)/2)/(2/4). Let z(o) = o - 3. Determine z(d).
-7
Let l(u) = 3*u**2 - u + 3. Let c(i) = i**2 + i + 1. Let z(d) = 4*c(d) - l(d). Let k(h) be the first derivative of z(h). Calculate k(-5).
-5
Let u be (-6)/(-14) - 12/(-21). Suppose -f = 5*a - 19, 2*f - 2*a - a + u = 0. Let t(o) = o - 2. Let j(s) = 1. Let r(m) = -6*j(m) + t(m). Determine r(f).
-4
Let o(p) = -2*p**2 + 2*p - 2. Let k(l) = l**2 - l + 1. Let s(n) = -3*k(n) - 2*o(n). Let q = -1 + 0. Let t be q/(2*2/(-12)). What is s(t)?
7
Suppose 3*z - 2*y + 3*y - 10 = 0, 5*z = 2*y + 13. Let b = 5 - z. Let n(f) = 2*f**3 - 3*f**2 + 4*f - 2. Give n(b).
10
Let f(k) = k - 2. Let u(c) = -2*c + 11. Let q(i) = 4*f(i) + u(i). Let s be ((-1)/2)/(3/30). Let z = s - -1. Calculate q(z).
-5
Let u(k) = 2*k - 2*k**3 + 0*k + 28*k**2 - 5*k - 32*k**2. What is u(-2)?
6
Let o(y) = 3*y + 8. Let j be o(-4). Let i(l) = l**2 + 3*l - 4. Give i(j).
0
Let n(m) = -m + 4. Let r be -8*(11/6 + 44/(-33)). Calculate n(r).
8
Let t(l) be the first derivative of -l**4/24 + 2*l**2 - 2. Let c(k) be the second derivative of t(k). What is c(2)?
-2
Let n(z) = -3*z**3 + 3*z**2 - 12*z - 3. Let t(w) = 4*w**3 - 5*w**2 + 18*w + 5. Let i be (-8 - -5)*(-5)/(-3). Let g(q) = i*t(q) - 7*n(q). Determine g(-5).
1
Let c(j) = -1. Let t(f) = 4*f - 2. Let w(s) = 2*c(s) + t(s). Calculate w(-3).
-16
Suppose 0*q = q + 4. Let f(h) = 2*h**2 + 5*h + 4. Determine f(q).
16
Let n = -8 - -16. Suppose -3*d - 2 + n = 0. Let h(g) = 3 - d*g + 4*g - 6. Determine h(-3).
-9
Let f(u) = -u**2 + 2*u + 6. Let h = 10 - 10. Let x be f(h). Let r(v) be the first derivative of v**4/4 - 7*v**3/3 + 2*v**2 + 7*v - 1. Calculate r(x).
-5
Let c = 8 - 4. Let l(s) be the second derivative of -1/2*s**3 + 1/12*s**4 + 0 + 5/2*s**2 + 6*s. What is l(c)?
9
Let x(c) = -3*c - 3. Let n(y) = y**3 + 5*y**2 - 3. Let p be n(-5). Determine x(p).
6
Suppose 3 - 5 = -z. Let j(q) = 3*q**3 - 4*q - 2. Let i(c) = 3*c**3 + c**3 - 1 + c**2 - 1 - 5*c. Let d(l) = z*i(l) - 3*j(l). What is d(3)?
-1
Let o = -1 + 3. Suppose 5*s - j + 16 = 0, -o*s + 7*s + 36 = -4*j. Let b = -8 - s. Let w(t) = -t**2 - 4*t + 1. What is w(b)?
1
Suppose -3*d - 21 = -3*l, -8 + 31 = l - 5*d. Let z(w) be the first derivative of -w**4/4 + 2*w**3/3 + 3*w**2/2 - 1. Determine z(l).
0
Let d(c) = -c**2 + 4*c. Let q(m) = m**3 - 3*m**2 - 2*m - 5. Let h be -4*12/(-8) + -2. Let z be q(h). Calculate d(z).
3
Suppose 4*z - 33 + 13 = 0. Suppose 1 = z*b + 6. Let u(x) = -3*x + 1. Give u(b).
4
Let f be (6/(-4))/(6*(-10)/(-80)). Let t(u) = -2*u**2 + u**3 + 2 + 2*u**2 + 2*u. Give t(f).
-10
Let p(z) be the second derivative of -z**4/12 + z**3/3 - 2*z - 2. Give p(3).
-3
Let d(f) = -f**2 - 3*f - 2. Suppose 20 = 14*m - 19*m. Give d(m).
-6
Suppose -7*j + 2*j - 10 = 0. Let n(m) = -8*m + 2. What is n(j)?
18
Let p be (-2)/((-4)/(8/(-1))). Let v(s) = -2*s - 1. Determine v(p).
7
Let a be (-4)/30 - (-34)/30. Let j(f) = a + 2*f**2 - f**3 - 4*f**2 - f**3. Give j(-1).
1
Let h(j) be the second derivative of -1/20*j**5 + 2*j + 0 - 3/2*j**2 + 1/2*j**3 + 1/3*j**4. What is h(4)?
9
Let k(h) = 6*h - h + 0*h - 4 - 4*h. What is k(0)?
-4
Let f(a) = -a**3 + 5*a**2 - 6*a. Let b = 0 + 2. Let y(m) = m**3 - 2*m. Let q be y(b). Determine f(q).
-8
Suppose 0 = 2*i - 0*i. Suppose i*o + 5 = -o. Let u(x) = x**2 + 6*x + 6. Calculate u(o).
1
Let o(g) = 4*g**2 - g**3 - 19 - 3*g - 5*g**2 + 20 + 2*g. Suppose 3*h - 10 = 2. Let p(z) = -z + 4. Let r be p(h). What is o(r)?
1
Let g(i) = 23708 - 6*i - 23708. Let s(u) = u**2 + 6*u + 2. Let t be s(-6). Calculate g(t).
-12
Let r(w) = 2*w**2 - 4*w - 1. Suppose 3*f - 7 = 5. Give r(f).
15
Let m be 4/2 + -3 - 4/(-2). Let v(o) be the first derivative of -1/3*o**3 + m + 3/2*o**2 + 3*o. Determine v(5).
-7
Let d(r) = -r**3 - 7*r**2 - r - 5. Let h be d(-7). Suppose 3*i - 1 = h. Let a(l) = -5 + 5 - 7*l**2. Calculate a(i).
-7
Let h(z) = 2*z + 3 - 6*z - 5 + 0. Give h(-2).
6
Let j = 61 + -54. Let b(u) = -u + 6. Calculate b(j).
-1
Let r be 15/(-2)*4/(-6). Let u(d) = d**3 - 6*d**2 + 5*d + 2. Let n be u(r). Let c(i) = i**3 - 3*i**2 + 2*i + 1. Give c(n).
1
Let g(x) = 2*x + 6. Let p(d) = d**2 - 7*d + 6. Let j be p(4). What is g(j)?
-6
Let h(a) = -a**3 + 13*a**2 + 16*a - 21. Let d be h(14). Let r(n) = -n**2 + 6*n + 9. What is r(d)?
2
Let f(c) be the first derivative of 4/3*c**3 - 1/4*c**4 + 2 + 5*c - c**2. What is f(4)?
-3
Let i(j) = j**2 - 9*j + 20. Let g be i(8). Suppose -7*p + 4*p = g. Let a(w) = w**3 + 3*w**2 - 2*w + 4. Give a(p).
-4
Let b(o) = -846 + 846 + 6*o. What is b(-1)?
-6
Let x(j) be the first derivative of 3*j**2/2 + j + 3. Give x(-1).
-2
Let v(h) be the third derivative of -h**5/120 - h**4/6 - h**3/2 - 2*h**2. Let l(c) be the first derivative of v(c). Calculate l(0).
-4
Let z(m) = m + 6. Let l = 9 - 15. Calculate z(l).
0
Let o be 40/6 - (-4)/(-6). Suppose -t = -m + o, -m + 15 = -4*t - 3. Let c(y) = 2*y**3 - 3*y**2 + 2*y + 2. Determine c(m).
10
Let y(v) = -1. Let k(h) = 3*h - 7. Let i(n) = -k(n) + 2*y(n). Let t = -9 + 0. Let z be ((-24)/9)/(6/t). What is i(z)?
-7
Let w(g) be the second derivative of -5*g**3/3 + 11*g. Suppose 0 = -5*o + 2*p + 13, 0*o + p = 4*o - 8. Calculate w(o).
-10
Let t(i) = -3*i**2 - 3*i - 1. Let p be t(-2). Let m(v) = -v + 2. Give m(p).
9
Let t(k) = k**3 + 8*k**2 + 15*k + 14. Let v be t(-6). Let c(d) = -4*d - 2. Let i(l) = -l. Let n(r) = -c(r) + 6*i(r). Give n(v).
10
Let k(h) = -3 - 2*h**2 + h**3 + 5*h + 2 - 8*h. What is k(-2)?
-11
Let p(l) = l**3 - 2*l**2 - l + 2 + 2 + 3*l**2. What is p(0)?
4
Let s(r) be the first derivative of r**4/4 + 5*r**3/3 - 7*r**2/2 - 3*r - 17. Determine s(-6).
3
Let z be ((-2)/(-12)*-4)/((-3)/27). Let c(j) = -j + 2. Let m be c(1). Let q(t) = t - m + 0 - 2. Determine q(z).
3
Let h(q) = q**2 - q - 1. Suppose -3*c = 15 - 3. Let r(z) = z + 7. Let p be r(c). Calculate h(p).
5
Let u(t) = -4*t + 4. Let f(w) = -w + 1. Let z(g) = -g + 1. Let y(o) = 6*f(o) - 3*z(o). Suppose -2*a + 7 = -3. Let b(v) = a*u(v) - 6*y(v). Determine b(-2).
6
Let y(a) = -6*a - a + 8 + a**2 + 0 + 0*a**2. Let n be y(6). Let b be 0/((-2)/n*-2). Let v(q) = q**3 + q**2 + 9. Give v(b).
9
Suppose -3*r = -4*r. Let l be 0 - (6/1 + r). Let a(o) = o + 3. Give a(l).
-3
Let p(m) be the first derivative of m**2/2 + m + 1. Let a(z) = 4*z + 9. Let r(i) = a(i) - 3*p(i). Calculate r(0).
6
Let q(g) = -4*g - 2. Let k(p) = -3*p + 0 + 12*p + 3. Suppose 5*a - 15 = 4*x, -3*a - 2*x + 9 = | {
"pile_set_name": "DM Mathematics"
} |
4, 746
Let -11*c**3 - 78*c**2 - 73*c - 6 = 0. Calculate c.
-6, -1, -1/11
Let -2*f**4/9 + 2*f**3 - 26*f**2/9 - 10*f + 100/9 = 0. What is f?
-2, 1, 5
Factor w**3/2 + 3*w**2 + 11*w/2 + 3.
(w + 1)*(w + 2)*(w + 3)/2
Factor 3*m**5 + 3*m**4 - 9*m**3 - 3*m**2 + 6*m.
3*m*(m - 1)**2*(m + 1)*(m + 2)
Find v, given that 4*v**5/7 + 24*v**4/7 - 80*v**3/7 - 120*v**2/7 + 76*v/7 + 96/7 = 0.
-8, -1, 1, 3
What is t in -3*t**4/5 + 123*t**3/5 - 696*t**2/5 - 13248*t/5 + 13824/5 = 0?
-8, 1, 24
Find w such that w**2/3 + 23*w/3 - 8 = 0.
-24, 1
Suppose -17*l**3 - 15*l**2/2 + 26*l - 3/2 = 0. Calculate l.
-3/2, 1/17, 1
Factor 6*g**2/5 - 1752*g/5.
6*g*(g - 292)/5
Factor -p**4/2 - 82*p**3.
-p**3*(p + 164)/2
Factor 2*u**2 - 92*u.
2*u*(u - 46)
Determine a, given that -2*a**3 - 3708*a**2 - 2291544*a - 472058064 = 0.
-618
Factor -4*l**3 + 788*l**2 + 800*l - 1584.
-4*(l - 198)*(l - 1)*(l + 2)
Solve 5*a**5 - 1010*a**4 + 44645*a**3 + 635900*a**2 + 2679280*a + 3663680 = 0.
-4, 107
Let -2*y**3 - 6*y**2 + 2*y + 6 = 0. Calculate y.
-3, -1, 1
Factor -5*n**3 + 65*n**2 - 115*n + 55.
-5*(n - 11)*(n - 1)**2
Factor -3*t**4 + 2487*t**3 + 4986*t**2.
-3*t**2*(t - 831)*(t + 2)
Factor -u**4/5 + 2*u**3/5 + 7*u**2/5 + 4*u/5.
-u*(u - 4)*(u + 1)**2/5
Determine f so that 5*f**4/2 - 20*f**3 - 55*f**2/2 + 45*f = 0.
-2, 0, 1, 9
Factor 3*s**4 + 216*s**3 + 3186*s**2 - 25272*s + 41067.
3*(s - 3)**2*(s + 39)**2
Find g such that g**4/4 - 113*g**3/4 + 3357*g**2/4 - 9295*g/4 + 3025/2 = 0.
1, 2, 55
Factor 4*z**4 - 92*z**3 - 300*z**2 - 308*z - 104.
4*(z - 26)*(z + 1)**3
Let 153*l**2/5 + 147*l/5 - 6/5 = 0. What is l?
-1, 2/51
Find l such that l**3 + 2*l**2/3 - l/3 = 0.
-1, 0, 1/3
Solve -722*p**2 + 76*p - 2 = 0.
1/19
Let -57*s**2 + 51*s + 6 = 0. Calculate s.
-2/19, 1
Factor 3*u**2/2 + 15*u + 24.
3*(u + 2)*(u + 8)/2
Solve -5*i**3 + 455*i**2 - 450*i = 0 for i.
0, 1, 90
Factor -s**2/4 - 5*s/2 + 6.
-(s - 2)*(s + 12)/4
Factor -4*a**2 - 34*a + 18.
-2*(a + 9)*(2*a - 1)
Factor 3*j**3/7 - 6*j**2/7 - 72*j/7.
3*j*(j - 6)*(j + 4)/7
Factor 4*o**2/5 + 4*o + 24/5.
4*(o + 2)*(o + 3)/5
What is x in x**2/3 + 324*x + 78732 = 0?
-486
Determine l so that l**4/6 - 3*l**3/2 + l**2/2 + 89*l/6 - 14 = 0.
-3, 1, 4, 7
Factor 4*z**5 + 8*z**4 - 16*z**3 - 8*z**2 + 12*z.
4*z*(z - 1)**2*(z + 1)*(z + 3)
Factor -60*p**2 - 123*p - 6.
-3*(p + 2)*(20*p + 1)
Find j, given that 14*j**5/5 - 128*j**4/5 + 118*j**3/5 + 92*j**2/5 - 96*j/5 = 0.
-6/7, 0, 1, 8
Solve g**3 - 345*g**2 = 0 for g.
0, 345
Determine w so that 48*w**4 + 72*w**3 - 45*w**2 + 6*w = 0.
-2, 0, 1/4
Suppose 2*o**4 + 66*o**3 - 296*o**2 = 0. What is o?
-37, 0, 4
Find y, given that 4*y**5/3 + 28*y**4/3 + 20*y**3 + 12*y**2 = 0.
-3, -1, 0
Factor 3*t**3 - 213*t**2 + 210*t.
3*t*(t - 70)*(t - 1)
Solve g**3/5 - 13*g**2/5 - 52*g/5 + 64/5 = 0 for g.
-4, 1, 16
Suppose 2*t**4/7 - 678*t**3/7 + 2022*t**2/7 - 2018*t/7 + 96 = 0. Calculate t.
1, 336
Let 3*d**3/7 + 54*d**2 + 1476*d/7 + 1464/7 = 0. Calculate d.
-122, -2
Factor m**2/5 + 68*m/5 + 67/5.
(m + 1)*(m + 67)/5
Find f such that -8*f**5/3 + 26*f**4/3 + 386*f**3/3 + 358*f**2/3 - 326*f + 72 = 0.
-4, -3, 1/4, 1, 9
Find s, given that -5*s**5 + 545*s**4 - 11495*s**3 - 186645*s**2 - 336600*s - 162000 = 0.
-9, -1, 60
Factor 2*c**3/17 - 104*c**2/17 + 1352*c/17.
2*c*(c - 26)**2/17
Solve 243*a**2/4 + 4509*a/2 + 83667/4 = 0.
-167/9
Solve 64*o**3 + 192*o**2 - 196*o - 60 = 0 for o.
-15/4, -1/4, 1
Factor 3*t**3 + 72*t**2 - 327*t + 252.
3*(t - 3)*(t - 1)*(t + 28)
Determine j, given that -2*j**4 + 29*j**3/4 - 3*j**2 - 9*j/4 = 0.
-3/8, 0, 1, 3
Factor -2*o**2/9 + 2*o.
-2*o*(o - 9)/9
Factor 5*m**2 + 915*m - 920.
5*(m - 1)*(m + 184)
Factor -9*o**3 - 1392*o**2 - 924*o.
-3*o*(o + 154)*(3*o + 2)
Factor -3*t**2 - 1140*t - 2268.
-3*(t + 2)*(t + 378)
Solve 2*h**3/11 - 8*h**2 + 466*h/11 - 380/11 = 0.
1, 5, 38
Determine t, given that t**4 + 35*t**3/4 - 73*t**2/4 - 56*t + 15 = 0.
-10, -2, 1/4, 3
Let -i**5 - 21*i**4 = 0. Calculate i.
-21, 0
Let 180*f**5 + 485*f**4 + 1135*f**3/3 + 25*f**2 - 45*f + 10/3 = 0. Calculate f.
-1, 1/12, 2/9
Factor x**3 - 185*x**2 - 188*x + 372.
(x - 186)*(x - 1)*(x + 2)
Factor -3*p**4/2 + 13*p**3/2 - p**2 - 4*p.
-p*(p - 4)*(p - 1)*(3*p + 2)/2
Suppose -30*u**2/11 - 12*u/11 = 0. What is u?
-2/5, 0
Suppose b**2/4 - 15*b/4 - 225/2 = 0. What is b?
-15, 30
Determine o so that -2*o**4 - 4*o**3 + 6*o**2 + 16*o + 8 = 0.
-2, -1, 2
Determine b, given that 5*b**4 + 5*b**3 - 60*b**2 - 140*b - 80 = 0.
-2, -1, 4
Suppose -4*u**4 - 84*u**3 + 188*u**2 + 84*u - 184 = 0. Calculate u.
-23, -1, 1, 2
Factor 2*v**3/13 + 2*v**2/13 - 20*v/13 + 16/13.
2*(v - 2)*(v - 1)*(v + 4)/13
Determine t, given that -64*t**2/3 + 496*t/3 - 961/3 = 0.
31/8
Let -6*t**2/11 + 156*t/11 - 150/11 = 0. Calculate t.
1, 25
Let -3*v**4/2 - 3*v**3/2 + 33*v**2/2 + 27*v/2 - 27 = 0. Calculate v.
-3, -2, 1, 3
Determine y so that 5*y**5 + 830*y**4 + 32740*y**3 - 141950*y**2 + 108375*y = 0.
-85, 0, 1, 3
Find n, given that 42*n**4 + 165*n**3/2 - 6*n**2 - 6*n = 0.
-2, -1/4, 0, 2/7
Solve -h**4/6 + 2*h**3/3 + 9*h**2/2 + 19*h/3 + 8/3 = 0 for h.
-2, -1, 8
Solve 5*n**2/4 + 295*n + 17405 = 0 for n.
-118
Factor 2*a**3/3 + 304*a**2/3 + 602*a/3 + 100.
2*(a + 1)**2*(a + 150)/3
Solve -f**3/3 - 500*f**2 - 250000*f - 125000000/3 = 0.
-500
Let -4*k**4 - 50304*k**3 - 237233664*k**2 - 497241759744*k - 390832023158784 = 0. Calculate k.
-3144
Factor o**3 + 8*o**2 + 17*o + 10.
(o + 1)*(o + 2)*(o + 5)
Let 2*b**5/3 + 38*b**4/3 - 83*b**3/6 - 28*b**2/3 + 79*b/6 - 10/3 = 0. Calculate b.
-20, -1, 1/2, 1
Factor 6*h**2/5 - 9048*h/5 + 3411096/5.
6*(h - 754)**2/5
Solve 50*y**5/3 - 590*y**4/3 - 1513*y**3/2 - 1936*y**2/3 - 643*y/6 - 5 = 0.
-2, -1, -1/10, 15
Suppose g**4/2 - 21*g**3/4 + 69*g**2/4 - 14*g - 12 = 0. What is g?
-1/2, 3, 4
Factor 3*q**2 + 147*q.
3*q*(q + 49)
Determine r, given that -3*r**3 + 48*r**2 - 123*r + 78 = 0.
1, 2, 13
Factor -2*o**3 - 14*o**2 - 20*o.
-2*o*(o + 2)*(o + 5)
Find s, given that 4*s**3 - 8*s**2 - 4*s + 8 = 0.
-1, 1, 2
Factor -a**4/5 - 778*a**3/5 - 40248*a**2 - 3434080*a + 7030400.
-(a - 2)*(a + 260)**3/5
Solve -4*k**3 + 464*k**2 + 2928*k = 0.
-6, 0, 122
Suppose -o**4/3 + 149*o**3/3 + 301*o**2/3 + 151*o/3 = 0. What is o?
-1, 0, 151
Find t such that 3*t**4/2 + 78*t**3 + 246*t**2 - 1968*t + 2304 = 0.
-48, -8, 2
Factor 3*b**2/5 + 732*b/5 + 1452/5.
3*(b + 2)*(b + 242)/5
Factor -5*w**2 + 14380*w - 10339220.
-5*(w - 1438)**2
Find j, given that j**2 + 193*j + 1830 = 0.
-183, -10
Factor -q**4/7 + 24*q**3/7 - 198*q**2/7 + 648*q/7 - 729/7.
-(q - 9)**2*(q - 3)**2/7
Factor -s**2/5 + 2264*s/5 - 1281424/5.
-(s - 1132)**2/5
Factor -189*u**3/5 - 3408*u**2/5 - 15417*u/5 - 486/5.
-3*(u + 9)**2*(63*u + 2)/5
Suppose -3*o**2 + 78*o - 507 = 0. Calculate o.
13
Suppose n**2/8 + 15*n - 61/2 = 0. Calculate n.
-122, 2
Factor -5*w**4 - 425*w**3 + 1755*w**2 - 2215*w + 890.
-5*(w - 2)*(w - 1)**2*(w + 89)
Determine s, given that -s**5 + 13*s**4 + 17*s**3 - 37*s**2 - 68*s - 28 = 0.
-1, 2, 14
Factor -2*h**4/7 + 14*h**3 - 282*h**2/7 + 278*h/7 - 92/7.
-2*(h - 46)*(h - 1)**3/7
Determine k so that k**4 + 65*k**3 + 1086*k**2 + 896*k - 2048 = 0.
-32, -2, 1
Determine h, given that 2*h**4 + 46*h**3 - 156*h**2 = 0.
-26, 0, 3
Find u, given that 11325*u**3 - 22660*u**2 + 11345*u - 10 = 0.
2/2265, 1
Solve 8*q**4 - 138*q**3 + 34*q**2 = 0.
0, 1/4, 17
Factor -2*m**3/5 - 36*m**2/5 - 162*m/5.
-2*m*(m + 9)**2/5
Factor 3*p**4 - 21*p**3 + 39*p**2 + 9*p - 54.
3*(p - 3)**2*(p - 2)*(p + 1)
Solve -114*q**4/5 + 297*q**3/5 - 87*q**2/5 - 108*q/5 + 12/5 = 0 for q.
-1/2, 2/19, 1, 2
Factor -3*a**3 - 738*a**2 - 45387*a.
-3*a*(a + 123)**2
Let -16*f**5 - 172*f**4 + 696*f**3 - 476*f**2 - 368*f + 336 = 0. What is f?
-14, -3/4, 1, 2
Determine o so that o**2/7 - 284*o/7 - 572/7 = 0.
-2, 286
Solve -h**3 - 34*h**2 - 33*h = 0.
-33, -1, 0
Suppose -2*b**2 + 228*b - 6498 = 0. Calculate b.
57
Factor -z**5/5 - 2*z**4/5 + 2*z**2/5 + z/5.
-z*(z - 1)*(z + 1)**3/5
Factor 5*m**2 - 80*m.
5*m*(m - 16)
Let 2*p**5/9 - 14*p**3/9 + 4*p**2/3 = 0. Calculate p.
-3, 0, 1, 2
Solve 20*h**2 - 48*h = 0.
0, 12/5
Factor -k**3/7 - 12*k**2/7 - 41*k/7 - 6.
-(k + 2)*(k + 3)*(k + 7)/7
Let 2*g**4 + 2014*g**3 + 2002*g**2 - 10054*g + 6036 = 0. What is g?
-1006, -3, 1
Find u such that u**3/9 + 8*u**2/3 + 59*u/9 - 28/3 = 0.
-21, -4, 1
Find b such that -2*b**4/7 - 2258*b**3/7 = 0.
-1129, 0
Suppose 12*y**5 + 8*y**4 - 228*y** | {
"pile_set_name": "DM Mathematics"
} |
1/2
b
Which is the smallest value? (a) 3 (b) -3 (c) -0.31
b
Which is the second smallest value? (a) -1.3 (b) 1 (c) -3 (d) -5
c
What is the third smallest value in -29, -0.071, 2?
2
What is the smallest value in -2/9, -1/21, 3/4, -3/4?
-3/4
What is the smallest value in -0.7, -5, 1?
-5
Which is the fifth biggest value? (a) 2 (b) 0.3 (c) -83 (d) 1 (e) -4
c
Which is the fourth biggest value? (a) -0.4 (b) -0.2 (c) -8 (d) 2/13
c
Which is the third smallest value? (a) 1 (b) -0.24 (c) 7
c
Which is the third smallest value? (a) 1/2 (b) 28 (c) 2/5 (d) 0
a
Which is the fourth biggest value? (a) 2/9 (b) 4 (c) -0.1 (d) -0.23
d
What is the second smallest value in 1/11, -11/4, 9?
1/11
What is the third biggest value in 1/2, -4, 0.4, 1?
0.4
What is the third smallest value in 2.2, -2/17, -5, 3, -2/21?
-2/21
Which is the smallest value? (a) -0.2 (b) 2/5 (c) 3/10
a
What is the smallest value in -21/82, 4, 2?
-21/82
Which is the fourth smallest value? (a) 2/31 (b) 0.013 (c) 2/3 (d) -2/13 (e) 2/15
e
What is the second biggest value in -3/7, -5, -52, -0.1?
-3/7
Which is the second smallest value? (a) 5 (b) -0.02 (c) -2.8 (d) -0.4
d
Which is the second biggest value? (a) 3/2 (b) -0.04 (c) -1.1
b
What is the second smallest value in 2/7, -1, -4, -1/195?
-1
Which is the second biggest value? (a) 0.8 (b) 393/4 (c) 3/5
a
Which is the biggest value? (a) -0.18 (b) 3/8 (c) 2/9 (d) -3 (e) 0
b
Which is the biggest value? (a) -62 (b) -0.2 (c) 1 (d) -5 (e) -6/5
c
Which is the smallest value? (a) -9 (b) 2 (c) 3/416
a
What is the third biggest value in -5/2, -2.3, -3/2, -25?
-5/2
Which is the third smallest value? (a) 3/4 (b) -31.6 (c) 1 (d) 3
c
Which is the fourth smallest value? (a) -0.2 (b) -2 (c) -1/7 (d) -5 (e) 4/19
c
Which is the smallest value? (a) 2/13 (b) 3/17 (c) -0.1 (d) 0.28
c
What is the second smallest value in 2, 4/51, -5.5?
4/51
Which is the third biggest value? (a) 2/7 (b) 1/42 (c) 0.3
b
Which is the biggest value? (a) -2 (b) 0.24 (c) -0.07 (d) 1
d
What is the third smallest value in 3, 154.4, 4?
154.4
Which is the fourth smallest value? (a) -19 (b) -3 (c) -12 (d) 3 (e) 0
e
What is the third smallest value in -2, 2/9, 3.8, 0.3?
0.3
Which is the fourth biggest value? (a) 29 (b) 3/2 (c) 3/5 (d) 4/7
d
What is the third smallest value in 1, -0.2, -5.2, 2?
1
Which is the second biggest value? (a) -689 (b) -0.1 (c) -5
c
Which is the biggest value? (a) 27 (b) -2/15 (c) -1/2 (d) -0.8
a
Which is the second biggest value? (a) -0.2 (b) 5/6 (c) 1/3 (d) 1
b
What is the biggest value in -0.2, 29, 2, 4/5?
29
What is the biggest value in -3, -1/2, -81?
-1/2
What is the second smallest value in -0.048, -5, 2?
-0.048
Which is the second biggest value? (a) 5 (b) -2.3 (c) 74 (d) -2/3
a
What is the second biggest value in -17, 5/4, 0.2, 7?
5/4
What is the smallest value in 1/2, -15/13, 3, -0.3, -0.6?
-15/13
What is the third smallest value in -1/2, -4, -10?
-1/2
What is the third biggest value in -0.1, -2/3, 4, -13?
-2/3
Which is the third smallest value? (a) -1 (b) 1.63 (c) -3/7
b
Which is the biggest value? (a) 4 (b) -0.4 (c) 0 (d) 2/5 (e) -0.61
a
What is the second smallest value in 0.7, 3, 2/5?
0.7
Which is the fourth smallest value? (a) -8 (b) 0.054 (c) 0.5 (d) -5/3
c
Which is the biggest value? (a) 5 (b) -0.1 (c) 437
c
What is the biggest value in -1/2, -0.3, 21?
21
Which is the biggest value? (a) -5/3 (b) -13 (c) 3/5
c
Which is the third smallest value? (a) 0.3 (b) -0.04 (c) 165 (d) -0.3
a
What is the third biggest value in 0.13, -8, 5, -0.1, 2/7?
0.13
What is the third biggest value in 16257, 2, -0.5?
-0.5
Which is the smallest value? (a) 3/13 (b) 2 (c) 3 (d) 0.2
d
Which is the second biggest value? (a) 0.2 (b) -0.5 (c) 30
a
What is the second biggest value in 0.5, 2/329, -4?
2/329
What is the third biggest value in 2, -18.8, 0.4?
-18.8
What is the third smallest value in -0.3, 1, -0.2, 0.3, 14?
0.3
Which is the fourth biggest value? (a) -0.3 (b) 4 (c) -0.5 (d) 5
c
What is the fourth smallest value in 0.6, -2/5, 4, -5.33?
4
What is the second smallest value in -2/7, 0.07, -2/13, -25, -3/7?
-3/7
What is the smallest value in -1/2, -2/5, 6, 8?
-1/2
Which is the smallest value? (a) 0.2 (b) 195 (c) 37
a
Which is the third biggest value? (a) -1/4 (b) 3/7 (c) -233
c
What is the fourth smallest value in -0.03, 0.4, -3, 0.1?
0.4
What is the third biggest value in -0.2, 0.005, 3?
-0.2
What is the second smallest value in -10, -2, -8, 4, 1/4?
-8
Which is the biggest value? (a) -2 (b) 6 (c) 4/3 (d) 0.2
b
Which is the second smallest value? (a) -1 (b) -4 (c) 2/209 (d) -0.5
a
Which is the biggest value? (a) -58 (b) 0.5 (c) 45
c
What is the second smallest value in -2.26, 5, -2?
-2
Which is the third smallest value? (a) 5 (b) 62 (c) 1/5
b
What is the second biggest value in -243, -2, 2, -0.4?
-0.4
What is the biggest value in 0.5, 141, -3/5?
141
Which is the biggest value? (a) -2/11 (b) 2.6 (c) 2/17
b
What is the biggest value in 1/5, 3, 6/59?
3
What is the smallest value in -2/19, -6, -4, 75?
-6
What is the third biggest value in 0, -0.4, -53?
-53
Which is the fifth smallest value? (a) 0.3 (b) 2/3 (c) -2 (d) -0.6 (e) 5
e
Which is the second smallest value? (a) -3/13 (b) 4 (c) 1/10
c
What is the smallest value in -22, 2, -2/9?
-22
What is the second biggest value in -2/9, 1/22, 0.2?
1/22
What is the third smallest value in -0.3, 1.12, -4, 1?
1
What is the biggest value in 573, -5, -2?
573
What is the biggest value in 0.07, -4/5, 4, 0.3?
4
Which is the second biggest value? (a) -10/11 (b) 5 (c) 0.2
c
What is the fourth smallest value in -5, 1/11, 0.11, -4, -3/5?
1/11
What is the second biggest value in -9, -7, 82?
-7
What is the second smallest value in 378, 3, -2, -0.2?
-0.2
Which is the second biggest value? (a) -3 (b) -1.32 (c) 0
b
What is the second biggest value in -1, 0.4, 0, -6?
0
Which is the third smallest value? (a) 5 (b) -4/3 (c) 0.3 (d) 2/9
c
What is the third smallest value in 0, 4/29, 1?
1
What is the third biggest value in 3, -2/7, -1/5, -3/5?
-2/7
What is the second biggest value in 3, 5, 5.7?
5
Which is the third biggest value? (a) -1/5 (b) 2/5 (c) 9 (d) 2
b
Which is the third biggest value? (a) 5/78 (b) 2/3 (c) 2
a
What is the smallest value in -4/5, 2/9, 1633?
-4/5
Which is the second smallest value? (a) -4 (b) -2 (c) 5/3 (d) -87/2
a
Which is the third biggest value? (a) -13 (b) -6 (c) 1/9 (d) 0.01
b
Which is the fourth smallest value? (a) 3/7 (b) 2/23 (c) -0.1 (d) -3/2 (e) 3/11
e
What is the biggest value in -1, 1, 1/1571?
1
What is the biggest value in -0.7, -2059, -5?
-0.7
What is the smallest value in 0.3, -182, 5?
-182
Which is the second biggest value? (a) -1/27 (b) 3/4 (c) -4 (d) 21
b
Which is the second smallest value? (a) -1041 (b) -2 (c) 5
b
What is the smallest value in 0.1, -1/6, -4/7?
-4/7
Which is the fifth biggest value? (a) -1/5 (b) 1 (c) -63 (d) -4 (e) 0
c
Which is the second smallest value? (a) 0.3 (b) -0.1 (c) 0.61
a
Which is the third biggest value? (a) 1/4 (b) 1/10 (c) -7 (d) -3
d
What is the smallest value in 30, 2, -6?
-6
What is the smallest value in 0, 1.5, 13/4?
0
Which is the third biggest value? (a) 0.3 (b) 1/2 (c) 4 (d) -249 (e) 2/17
a
What is the second biggest value in 4, -2, 2/3, -2.5?
2/3
Which is the third biggest value? (a) -1/3 (b) 4 (c) -1 (d) -10
c
What is the smallest value in 0.6, -5, -0.31?
-5
Which is the third smallest value? (a) 0 (b) -5 (c) -0.124
a
Which is the third smallest value? (a) -12 (b) -2 (c) 0.4 (d) -0.3
d
What is the smallest value in 0.5, 0.1, -7, 9, 0.4?
-7
What is the biggest value in -119, 1, 3/5, 0?
1
Which is the smallest value? (a) -1/7 (b) -4 (c) 24.9
b
What is the third biggest value in 0.034, 3, 1/2?
0.034
What is the third smallest value in 1, -571, 0, -1/5?
0
What is the third smallest value in -15, 2/13, -7/3, -0.2, 5/3?
-0.2
Which is the smallest value? (a) 4 (b) 137 (c) -2
c
Which is the second smallest value? (a) -5 (b) -857 (c) 0.2
a
Which is the second smallest value? (a) 0.5 (b) -3/5 (c) 1/4 (d) 50
c
What is the second smallest value in 1/4, -15/38, | {
"pile_set_name": "DM Mathematics"
} |
*n(v) + 6*t(v)?
-5*v**2
Let i(q) = 5*q**3 - 4*q**2 - 9*q. Let j(l) = l**3 - l**2 - 2*l. Let k be 36*(-1 + 8/16). Give k*j(h) + 4*i(h).
2*h**3 + 2*h**2
Let n(o) = -o + 5*o + 2*o - 2*o - 6*o**3. Suppose 2*w + 5*t - 25 = 0, -3*w + 11 = 3*t - 13. Let y(b) = -3*b**3 - w*b + 8*b**3 + 2*b**3. What is 6*n(i) + 5*y(i)?
-i**3 - i
Let a(q) = q**3 + q**2 + q + 1. Let b(x) = 23*x**3 + x**2 + x + 4. Calculate -a(n) + b(n).
22*n**3 + 3
Let d(v) = -v - 1. Suppose 4*o - 57 - 35 = -3*b, 4*b - 2*o = 108. Suppose 0 = 2*i + 32 - b. Let g(p) = p**2 + 3*p + 2. Determine i*g(h) - 7*d(h).
-2*h**2 + h + 3
Let m(x) = 5*x - 15. Let q(f) = -6*f + 17. Let i(c) = -7*m(c) - 6*q(c). Let k(u) = 2*u + 5. Give 10*i(n) - 6*k(n).
-2*n
Let u(s) = -30*s**2 - 19*s + 24. Let w(a) = 17*a**2 + 9*a - 13. Determine 6*u(r) + 11*w(r).
7*r**2 - 15*r + 1
Suppose 0 = -3*x - 8 - 43. Let y(l) be the third derivative of 7*l**4/12 + 11*l**3/6 + 1288*l**2. Let h(z) = 5*z + 4. Calculate x*h(c) + 6*y(c).
-c - 2
Let m be ((-6)/(-3))/(2/(-4)). Let s(g) = -g. Let v(h) = h**3 + h**2 - 4*h - 3. Determine m*s(k) + v(k).
k**3 + k**2 - 3
Let x(z) = 7*z**3 - 5. Let t(a) = 7*a**3 - a**3 - 2*a**3 - 3. Suppose -7*j = -6 - 1100. Let u = -163 + j. Give u*t(q) + 3*x(q).
q**3
Let w(c) = 3*c**2 + c. Let x(t) = -t**2 + 16*t. Calculate 3*w(h) - x(h).
10*h**2 - 13*h
Let j(g) = -7*g**3 - 3*g**2 + 3. Suppose 5 + 13 = 6*s. Suppose 3*p - 36 + 12 = 0. Let w(o) = 20*o**3 + 8*o**2 - 8. Calculate p*j(a) + s*w(a).
4*a**3
Let r be 37*(5/1 + -2). Let g be r/(-21) - 2/(-7). Let i(w) = -7*w**2 - w + 3. Let l(s) = -10*s**2 - s + 4. Calculate g*l(t) + 7*i(t).
t**2 - 2*t + 1
Let q(x) = -2. Let h(a) = 21 - 15 - 2*a + a - 9. Suppose 0 = 5*g + 4*y - 35, g - 4*y + 11 + 6 = 0. Give g*q(i) - 2*h(i).
2*i
Let g(v) be the first derivative of -15*v - 35/2*v**2 - 9. Let d(m) = 9*m + 4. What is 15*d(w) + 4*g(w)?
-5*w
Let m(w) = -28*w - 5. Let f(d) = -d + 1. Calculate -2*f(t) - m(t).
30*t + 3
Let a(t) = 9*t + 5. Suppose -5*d + 5*i + 21 + 14 = 0, -4*d + 14 = 3*i. Let z(k) be the first derivative of -5*k**2 - 6*k + 1. Give d*z(s) + 6*a(s).
4*s
Let d(w) = 2*w + 14. Let n(x) = 3*x**3 - x**2 - x. Let h be n(-1). Let r(k) = k + 7. Let f(j) = h*d(j) + 7*r(j). Let p(o) = -2*o - 13. What is 7*f(v) + 4*p(v)?
-v - 3
Let q be 19/(-5) - 6/30. Let p be (-4 - q)/(4 - 2). Let s(d) = 4 + 3*d**2 + 4*d**2 + 4*d + p*d**2. Let v(z) = -20*z**2 - 11*z - 11. Calculate 17*s(n) + 6*v(n).
-n**2 + 2*n + 2
Let a(d) = -d**2 - 2*d + 7. Let y(b) = -b**2 + 10. Determine -4*a(k) + 3*y(k).
k**2 + 8*k + 2
Let f(r) = -114*r - 148*r - 3*r**3 - 1 + 261*r + 2*r**3. Let d(c) = 8*c**3 + 2*c - 1. Determine -d(x) - 2*f(x).
-6*x**3 + 3
Let l(k) = k**2 - 3*k + 2. Let q(x) = -6*x**2 + 16*x - 11. Let s = -74 + 42. Let n = s - -30. What is n*q(a) - 11*l(a)?
a**2 + a
Let f(j) = 7*j**3 - 5*j**2 + 5. Let b(a) = a**2 - 1. Let u be -5 - (-1 - 2) - (1 + 2). Give u*b(k) - f(k).
-7*k**3
Let c(a) = 21*a + 5. Let f(o) = 2*o + 1. Give -c(i) + 4*f(i).
-13*i - 1
Let m = 90 + -74. Let d(h) = -m*h + 274 - 274. Let j(z) = z. Determine -d(w) - 12*j(w).
4*w
Let n(f) = f**2 - 7*f - 7. Let j(l) = 0 - 64*l + 201*l - 65*l + 2 - 70*l. Determine -7*j(q) - 2*n(q).
-2*q**2
Let f(y) = -5125*y. Let k(l) = -394*l. What is 3*f(j) - 40*k(j)?
385*j
Suppose -12*r + 232 = 268. Let h(w) = -5*w. Let o(v) = 11*v + 1. Let c be (-1)/(-2) + (-15)/2. Give c*h(m) + r*o(m).
2*m - 3
Let k(b) = -72*b**3 - 2*b. Let i(r) = -r**3. What is 2*i(q) + k(q)?
-74*q**3 - 2*q
Let j(z) = z**2 - z - 1. Let k(h) = 5*h**2 - 13*h - 1. Give 2*j(m) - k(m).
-3*m**2 + 11*m - 1
Let o(b) = -7*b + 4. Let f(g) = g - 1. Let k(z) = 6*f(z) + o(z). Let j = 813 - 816. Let t(n) = n + 1. Determine j*t(u) - k(u).
-2*u - 1
Let s(u) = 17*u**3 + 6*u**2 - 6*u + 10. Let f(j) = 34*j**3 + 14*j**2 - 14*j + 22. What is -3*f(x) + 7*s(x)?
17*x**3 + 4
Let q(c) = 5*c**3 + 2*c**2 - 3*c + 18. Let d(u) = 11*u**3 + 5*u**2 - 7*u + 36. Give -6*d(r) + 14*q(r).
4*r**3 - 2*r**2 + 36
Let t(v) = v - 1. Let l(k) = -2*k + 1. Let u be l(2). Let p(q) = q - 2. Suppose 4981*r = 4971*r + 10. What is r*p(y) + u*t(y)?
-2*y + 1
Let j be 1/(-4)*(-6 + -2). Suppose -j*r = -2 + 12. Let f(y) = -6*y. Let d(w) be the third derivative of w**4/8 + 9*w**2. Give r*f(h) - 9*d(h).
3*h
Let j(y) = 10*y**3 - 3*y**2 - 4. Let l(v) = v**3 + 2. Let c(t) = -j(t) - 2*l(t). Let i(x) = 84*x**3 - 20*x**2. Determine 20*c(u) + 3*i(u).
12*u**3
Let w(x) = -7*x**2 - x + 5. Let d(a) = -14*a**2 - 2*a + 9. Give 3*d(h) - 5*w(h).
-7*h**2 - h + 2
Suppose -17*r + 13*r + 12 = 0. Let n(c) = -c + 4*c - 4*c. Let w(t) = -2*t. Determine r*n(o) - 2*w(o).
o
Let d(y) = 7*y**2 - 6*y. Let s(k) = -8*k**2 + 7*k. Let v = -97 - -97. Let h(m) = -m**2 - 2*m - 6. Let g be h(v). Calculate g*s(j) - 7*d(j).
-j**2
Let x(z) = -1. Let l(v) = -36*v + 13*v + 20*v - 2 - 1 + 14*v. Give l(b) - 3*x(b).
11*b
Suppose -7*i - 82 = -131. Let m(x) = -x**2 + x - 2. Let v(f) = -3*f**2 + 4*f - 7. Determine i*m(n) - 2*v(n).
-n**2 - n
Let m(d) = 2*d**3 - 5*d**2 - 5*d - 6. Let k(y) = -y**3 + y**2 + y - 1. Give -5*k(w) - m(w).
3*w**3 + 11
Let z = -25 - -47. Suppose 0 = g + 2, -2*l - l + z = g. Suppose 5*a - 21 = l*a. Let r(k) = 2*k**2 - 3*k. Let h(v) = 4*v**2 - 7*v. Determine a*r(d) + 3*h(d).
-2*d**2
Let t be (-20)/(-90) - (-2)/(-9). Let v(y) = y + t*y - 4 + 0 + 3. Let r(i) = 1 + 1 + 0*i - 6*i + 4*i. Determine 3*r(n) + 8*v(n).
2*n - 2
Let a(j) = -4*j**3 - j**2 + 6*j - 2. Let v(q) = -11*q**3 - 3*q**2 + 18*q - 7. Determine -8*a(z) + 3*v(z).
-z**3 - z**2 + 6*z - 5
Let q(h) = 7*h**2 - 3*h - 3. Let y(u) = -6*u**2 + 4*u + 1. Calculate 4*q(d) + 3*y(d).
10*d**2 - 9
Let l(t) = -t**2 - 7. Let u be -4 + (-7)/7 + 3. Let g(y) = 6*y**2 + 35. Give u*g(k) - 11*l(k).
-k**2 + 7
Let k(t) = t - 1. Let y(w) = -w**2 + 6*w - 4. Let r(d) = -2*d + 1. Let i(f) = 5*r(f) + y(f). Give -i(m) - 2*k(m).
m**2 + 2*m + 1
Suppose -4 = -4*o + 12. Suppose -3*s + s + o = 0. Let f(t) = -4*t - 2. Let w(m) = m + 1. Give s*f(n) + 4*w(n).
-4*n
Let b(h) = 10*h + 1. Let s(o) be the first derivative of -9*o**2/2 - 207. Calculate 2*b(z) + 3*s(z).
-7*z + 2
Let c(h) = 2*h + 6. Let k(a) = 1. Give -2*c(s) + 14*k(s).
-4*s + 2
Let k(x) = -2*x**3 + x**2 - x - 1. Let z(c) = 8*c**3 - 6*c**2 + 3*c + 40. What is 5*k(b) + z(b)?
-2*b**3 - b**2 - 2*b + 35
Let m(h) = 15*h - 5. Let l(u) = -1. Let t(f) = -2*l(f) + m(f). Let w(o) = 14*o - 2. What is -3*t(x) + 4*w(x)?
11*x + 1
Let a(l) = -2*l**3 - 13*l**2 + 4*l. Let b(q) = -4*q**3 - 26*q**2 + 7*q. Give -11*a(f) + 6*b(f).
-2*f**3 - 13*f**2 - 2*f
Let n(o) = 4*o**2 + 7*o + 6. Suppose v = 3*b + 3, -5*v + 3*b + 25 + 2 = 0. Let z(g) = -g**2 - 1 + 6 - v - g. Calculate n(c) + 6*z(c).
-2*c**2 + c
Let h(m) = -4*m**3 - m - 1. Let o(t) = t + 12. Let a be o(-9). Let n(x) = -3*x**3 - x - 1. Let z = -21 - -19. Calculate a*n(v) + z*h(v).
-v**3 - v - 1
Let p(i) = 6*i**3 - i**2 + 4*i + 2. Let d(g) = 2*g**3 + g**2 + g. Calculate -2*d(j) + p(j).
2*j**3 - 3*j**2 + 2*j + 2
Let d(t) = -28*t + 728. Let v(a) = 11*a - 364. Calculate -2*d(w) - 5*v(w).
w + 364
Let u(q) = 6*q**2 - 1. Let f(o) = -o - 11. Let i be f(-6). Let x(y) be the second derivative of -y**4/3 + y**2/2 - 126*y + 4. Determine i*u(m) - 8*x(m).
2*m**2 - 3
Let u(z) = -3*z**3 - z**2 + 2*z - 1. Let m(w) = -w**3 + w. Let k = 6 - 4. Let i be 8/(-3 + 11 - 10). Calculate i*m(y) + k*u(y).
-2*y**3 - 2*y**2 - 2
Suppose 6*k + 5*t = 4*k + 25, 5*k = 2*t + 19. Let i(a) = -4*a**2 + 6*a + 2. Let o(l) = -3*l**2 + 5*l + 2. What is k*o(z) - 4*i(z)?
z**2 + z + 2
Let j(r) = r**3 + r + 1. Let a(c) = -4*c**3 - 3*c - 5. Give 2*a(b) + 6*j(b).
-2*b**3 - 4
Let s(v) = 1 - 3 - 2*v + 0. Suppose 5*o + 2*k + 0 - 15 = 0, -o + 3 = 4*k. Let n(j) = -2*j - 3. Calculate o*n(f) - 4*s(f).
2*f - 1
Suppose 5*m - 4*a - 28 = 0, 4 = 2*m - 0*m + 2*a. Let r(i) = i**3 + i**2 + i. Let y(q) = 4*q**2 + 21*q + 4 - 4 - 17*q + 6*q**3. Determine m*r(k) - y(k).
-2*k**3
Let d(o) = o**2 - o. Let t(s) = 2*s**2 - 2*s + 1. Suppose 53 - 104 = 17*x. What is x*d(c) + 2*t(c)?
c**2 - c + 2
Let i(c) = -c**2. Let h(b) = 28*b**2 - b - 2. Determine -h(p) - 5*i(p).
-23*p**2 + p + 2
Let k(a) = -a**2 - 2*a - 2. Let p(x) = 2*x**2 + 2*x + 7. Give -4*k(d) - p(d).
2*d**2 + 6*d + 1
Let l(g) = 12*g - 112. Let o(n) = 2*n - 17. Let f(s) = 3*l(s) - 20*o(s). Let c(j) = 9*j - 9. Let b be (-2)/((-10)/6 + 1). Determine b*c(a) + 7*f(a).
-a + | {
"pile_set_name": "DM Mathematics"
} |
a prime number?
True
Suppose 0 = -2*n - 3*n + 5, -z + n = -2002. Is z a composite number?
False
Is (-57)/(-76)*449556/9 prime?
True
Is ((-7469)/(-22) + -3)/((-1)/(-22)) a prime number?
False
Let h = 7 - 1. Suppose 2*y = -0*y + z + h, 5*z + 15 = -5*y. Is (y*-1)/(5/(-665)) a composite number?
True
Let v = 3064 - -893. Is v prime?
False
Let l(n) = 8878*n + 53. Is l(2) a composite number?
True
Is 162363*(456/855 + 1/(-5)) a composite number?
False
Suppose -5*t + 20 = 5*y, 5*t - 18 = -y - 3*y. Suppose y*h - 758 = 904. Is h prime?
False
Is (-3 + (-481 - -3))/(-1) composite?
True
Let w be 74/14 + 12/(-42). Suppose 792 = w*j - m - m, -4*m = 5*j - 786. Let v = j - -33. Is v prime?
True
Suppose -13242 = -2*x - 4*d, x - 5*d - 26471 = -3*x. Is x a composite number?
False
Let v(p) = -22*p - 34*p - 2 + 25 - 6. Let i be v(7). Let w = i - -580. Is w prime?
False
Let h(p) = 48*p**2 + 3*p - 22. Let s be h(6). Let m = -8 + 15. Suppose -s = m*k - 4321. Is k prime?
False
Let f(b) = -177*b - 29. Is f(-12) composite?
True
Is ((4 - 0)/(-4))/((-3)/32847) a prime number?
True
Let b be 1 + -1*2 + 790 + 6. Let h = b - -292. Is h a composite number?
False
Let u(i) = 11*i**2 + 3*i - 2. Let m(w) = 9*w**2 + 2*w - 1. Let h(v) = 6*m(v) - 5*u(v). Let k = 4 - 7. Is h(k) prime?
False
Suppose 14 = 2*a - 60. Let f = 51 - a. Is f a composite number?
True
Let s(f) = 2*f**2 - 1. Let d be s(-2). Let z be d*1 + 9 + -12. Suppose 111 = -4*o + z*c + 1131, -239 = -o + 5*c. Is o composite?
True
Let y be 6632/(-20) + 6/(-15). Let g = -229 - y. Is g composite?
False
Let g = 5 - 3. Suppose g*o - 6*o + 24 = 4*n, -3*n = -2*o + 2. Suppose n*b = 4*b - 86. Is b composite?
False
Let f = 4 + 1. Suppose f*a - 3*a = 4. Suppose -a*l + 3*l = 97. Is l a composite number?
False
Let t(z) be the third derivative of 257*z**6/120 + z**5/60 - z**4/12 + z**3/6 + 19*z**2. Is t(1) a prime number?
True
Let i(w) = 124*w**2 - 2*w - 3. Let n be i(-5). Suppose 7864 = 9*o - n. Is o a composite number?
True
Let v = -6 + 8. Suppose -v*l - 11 = -t, 10 = -t - 4*l + 3. Suppose 0 = -2*z - 2*u + 102 + 52, t*z + 3*u = 389. Is z a prime number?
True
Let i = -93 + 101. Suppose -i*u + 2215 = -3*u. Is u a composite number?
False
Let j(z) = 107*z**3 - 11*z**2 + 2*z - 17. Is j(5) prime?
True
Let q(h) = -h**3 + 7*h**2 + 5*h - 5. Let c be q(7). Let u be (-6)/4*c/9. Let j(z) = -2*z**3 - 2*z**2 - z - 4. Is j(u) a prime number?
False
Let q(v) = -v**3 - 26*v**2 - 14*v - 57. Let a be q(-24). Let i = a - -3232. Is i prime?
False
Suppose f = -f - 4, 0 = -4*l - f + 17394. Is l a composite number?
False
Let c = -36090 + 52705. Is c a composite number?
True
Suppose 17*c + 0*c = 27863. Is c a prime number?
False
Let d(h) = -13*h**3 - 4*h**2 - 6*h + 4. Suppose 4*b - 4*a = 0, 5*b = -2*a - 42 + 7. Is d(b) a prime number?
True
Let m(c) be the first derivative of 239*c**3/3 - c**2 + 2*c + 6. Is m(1) a prime number?
True
Let a(l) = -2393*l - 3. Is a(-2) a composite number?
False
Let g(z) = 2*z**3 - 34*z**2 - 9*z - 41. Is g(20) composite?
False
Let q be (-11)/(-2)*6/3. Suppose -3*g + 3*a = -24, 4*a = 5*g + q - 49. Suppose -g*o = -o - 245. Is o composite?
True
Suppose -4*v + 22926 + 12766 = 0. Is v a prime number?
True
Let n(v) = -v**3 + 5*v**2 + 4*v + 8. Let c be n(6). Let s be (-8)/3*(-822)/c. Let b = 87 - s. Is b a prime number?
False
Suppose -852 = -4*i + 3752. Is i a composite number?
False
Let x(p) = -24*p**2. Let y be x(1). Let n = -19 - y. Suppose -4*h = -5*m + 1 + 204, -n*h - 25 = 0. Is m a prime number?
True
Let l = -10 + 15. Suppose -l*r - 101 - 1790 = -3*o, -2*o = -4*r - 1262. Suppose 4*x - o = x. Is x prime?
False
Let i be (-89)/(-1) - (-3 - 0 - 1). Suppose 2*q = i + 145. Is q composite?
True
Suppose 0 = -9*g + 161 - 17. Suppose 5*w + 3*r - 2 = 28, 2*w + 2*r - g = 0. Suppose w*t - 1525 = 2702. Is t a composite number?
False
Let r be (2 + -2)/3 - -3. Suppose -2*o + 0*v + 33 = -5*v, 0 = r*o + 3*v + 3. Is o prime?
False
Let g = 978 + 281. Is g a prime number?
True
Is 1115/223 - (4541 - -1)/(-1) a prime number?
True
Let q be 134979/(-65) + (-2)/5. Is q/(-2) + 4/8 prime?
True
Let x(f) = -143*f - 4. Let t be x(3). Let b = 701 + t. Suppose -5*h + h + b = 0. Is h prime?
True
Suppose 0 = -4*y + 16, -5*l + 5*y = -8*l + 4181. Is l a composite number?
True
Suppose 3*z - 4395 = 3807. Is z a prime number?
False
Is 7 - (-108)/(-16) - 58035/(-4) a prime number?
False
Suppose 4*j = 4, 2776 = 3*u + 4*j - 3*j. Suppose 3*n + 122 = 3*m - 811, 3*m - n = u. Is m a composite number?
False
Suppose -3*b + 2*t + 1 = -8, -5*b + 19 = -2*t. Suppose -2284 = -4*n + p, n + b*p + 2855 = 6*n. Is n composite?
False
Let d = 78683 + -48672. Is d a composite number?
False
Let b(g) = 23*g**2 - 5*g - 7. Let a(l) = -l**3 - 18*l**2 - 16*l + 2. Let h be a(-17). Let t be 5/h*-3*-2. Is b(t) composite?
True
Let d = 44556 - 20485. Let r = d + -12668. Suppose -q - 8*q = -r. Is q composite?
True
Let f be (4/12)/((-1)/(-9)). Suppose 0*p - p = f*h - 16, -5*h = -25. Let z(s) = 149*s**2 - s + 1. Is z(p) composite?
False
Let c be 8/(-44) - 48/(-22). Suppose 4*h = 2*z + 9446, c*h - 3*z + 536 - 5257 = 0. Is h prime?
False
Let s(h) = 385*h**3 - 6*h**2 + 4*h - 2. Let m(n) = -386*n**3 + 5*n**2 - 3*n + 2. Let p(q) = 6*m(q) + 5*s(q). Is p(-1) prime?
False
Suppose 5 = 3*y - 10, 0 = -i - 4*y + 2187. Is i a prime number?
False
Let o = 15 + -17. Let c(x) = 0 - 4 - 167*x + 1. Is c(o) prime?
True
Let f be 4/(-6)*(0 - 3). Let a(z) = 2*z**3 - 4*z**2 + 2*z + 1. Let b be a(f). Suppose -o - 2*u = o - 268, 394 = 3*o - b*u. Is o a composite number?
True
Is (-10)/(-4)*17/((-595)/(-6846)) prime?
False
Suppose -3*z + 84006 + 35856 = 5*i, 5*i - 79903 = -2*z. Is z prime?
False
Let o be (-4)/(-18) + (-3725)/(-45). Suppose f - 58 = o. Is f prime?
False
Let b = 18 - 15. Suppose -8*u + 4*u + 42 = 2*o, -b*u + o = -29. Suppose 6*q = u*q - 212. Is q prime?
True
Suppose -5*b + 330 = -90. Suppose -3*u - 4*d + b + 185 = 0, 0 = -u - d + 88. Is u a prime number?
True
Let i = 411 + -613. Let n = 1981 - i. Is n prime?
False
Let p be 2/10 + 95/25. Suppose -z + 41 = -p*b, 4*z = 5*z - b - 29. Is z a composite number?
True
Let r(t) = 5013*t**2 + 12*t - 17. Is r(2) a prime number?
False
Suppose 5*q = -0*d + 3*d + 8, -5*d + 40 = 5*q. Suppose -q*h - 439 = -w - 4*w, 4*h = 16. Is w a prime number?
False
Is (12 - -6831)*(-1)/(-3) a prime number?
True
Let k(q) = -9*q**2 - 2*q + 1. Let m be k(1). Let n = 42 + m. Let o = -18 + n. Is o a composite number?
True
Suppose 12*x + 459 = 9*x. Suppose 0 = -2*r + 483 + 65. Let u = x + r. Is u a composite number?
True
Let i = 5 - 11. Let y be i/(-4)*18/(-27). Is (375 - y) + 13 + -10 a prime number?
True
Let x = -370 - -624. Is x a prime number?
False
Let s = 13273 + 23956. Is s composite?
True
Is 8/(24/(-226971))*(-2)/6 a composite number?
False
Let v = -9 - -15. Let t be 0*(2 + v/(-4)). Let n = t + 13. Is n composite?
False
Suppose -4*u + 2*i - 14 = 0, u + 3*i + 5 = -16. Let p(v) = 2 + 5 - 5*v - 8 + 9. Is p(u) composite?
True
Suppose r = -2*r - 6. Let t(k) = -3*k**3 - 12*k**2 + 18*k + 2. Let w(q) = 7*q**3 + 24*q**2 - 37*q - 3. Let i(p) = r*w(p) - 5*t(p). Is i(-7) a prime number?
True
Suppose -5*l = n - 236, 2*n - l + 266 - 683 = 0. Is n composite?
False
Let x be 5 - (-2 - 6/(-3)). Let w(s) = 1205*s - 18. Is w(x) a prime number?
True
Suppose 3*t = t + 206. Suppose 2*h - t = 265. Is (-20)/(-2)*h/16 a composite number?
True
Suppose -2 = -2*c, -6*z - c + 3317 = -2*z. Let k = z + -350. Is k composite?
False
Suppose 0 = -3*k + 2*i - 0*i - 8, -5*k + 5*i - 10 = 0. Let m(o) = -o**2 + 3 + 15*o**2 + o + 0*o**2. Is m(k) composite?
False
Suppose -5*p = -10*p - 50. Let r = 12 + p. Suppose 377 = 3*u - 2*f, 233 = r*u - 5*f - 11. Is u composite?
False
Let h(s) = -36*s**3 - 6*s - 37. Is h(-4) composite?
True
Let t = 18951 + -9424. Is t prime?
False
Let y(v) = -v**3 - 15*v**2 - 20*v + 7. Suppose -2*q + q = 3, -q = n + 17. Is y(n) a prime number?
False
Let o = -498 + 6548. Suppose 5*j + o = -14930. Is ((-4)/(-16))/((-1)/j) prime?
True
Suppose -991 = -4*j + 1225. Let r = -388 + j. Is r composite?
True
Suppose 0 = -19*l + 14*l + 55565. Is l composite?
False
Let y(o) = 1259*o**3 + 2*o**2 - 18*o + 40. Is y(3) a composite number?
False
Suppose -h + 5969 = -3*s, 3*h - 6609 = 3*s + 11322. Is h a composite number?
False
Let p(a) | {
"pile_set_name": "DM Mathematics"
} |
posite?
True
Is 34457 prime?
True
Is 7789 composite?
False
Is 99859 a composite number?
False
Is 12790949 a prime number?
True
Is 743549 composite?
False
Is 227719 composite?
False
Is 145066 prime?
False
Is 32087 composite?
True
Is 16743 composite?
True
Is 1151 a composite number?
False
Is 49109 a prime number?
True
Is 11677 a composite number?
False
Is 247183 a composite number?
False
Is 861797 composite?
False
Is 41729 composite?
False
Is 68763 a composite number?
True
Is 2839 prime?
False
Is 3043 prime?
False
Is 12185 a composite number?
True
Is 211 a prime number?
True
Is 5249 a prime number?
False
Is 118211 a prime number?
True
Is 497449 prime?
True
Is 1293787 composite?
True
Is 3599 a composite number?
True
Is 23434 composite?
True
Is 229427 composite?
True
Is 915797 prime?
False
Is 26149 prime?
False
Is 757 a composite number?
False
Is 123787 composite?
False
Is 594889 a prime number?
True
Is 51931 a composite number?
True
Is 3079 a composite number?
False
Is 112549 a composite number?
True
Is 197674 prime?
False
Is 19523 prime?
False
Is 1052797 a prime number?
True
Is 764399 composite?
False
Is 7057 prime?
True
Is 32603 composite?
False
Is 41467 a composite number?
False
Is 31777 a composite number?
True
Is 8191 a prime number?
True
Is 391901 prime?
False
Is 54869 a prime number?
True
Is 226871 a composite number?
False
Is 797773 a composite number?
False
Is 149803 a prime number?
True
Is 32773 composite?
True
Is 16873 a prime number?
False
Is 128099 a composite number?
False
Is 62459 prime?
True
Is 7601 a prime number?
False
Is 80309 a prime number?
True
Is 12235 a composite number?
True
Is 135371 a prime number?
False
Is 30593 a composite number?
False
Is 34973 composite?
True
Is 6898 a composite number?
True
Is 48437 a prime number?
True
Is 430243 composite?
True
Is 151447 composite?
True
Is 15245 a prime number?
False
Is 93077 a composite number?
False
Is 40231 a prime number?
True
Is 10834 prime?
False
Is 34123 composite?
False
Is 146737 a prime number?
False
Is 9094 a composite number?
True
Is 2039 a prime number?
True
Is 56807 a prime number?
True
Is 572597 a prime number?
True
Is 10871 prime?
False
Is 121229 a composite number?
False
Is 14227 composite?
True
Is 19843 composite?
False
Is 40693 a composite number?
False
Is 16411 a composite number?
False
Is 757495 composite?
True
Is 27883 prime?
True
Is 21137 a composite number?
True
Is 24317 a prime number?
True
Is 347289 prime?
False
Is 57149 prime?
True
Is 72269 a prime number?
True
Is 1618621 a prime number?
False
Is 769843 a prime number?
False
Is 2775403 prime?
False
Is 1259 composite?
False
Is 2159 a prime number?
False
Is 7647 a composite number?
True
Is 806177 composite?
False
Is 171181 a prime number?
False
Is 12057 composite?
True
Is 307015 prime?
False
Is 1236701 a composite number?
False
Is 1657 composite?
False
Is 834869 a prime number?
False
Is 214 composite?
True
Is 7321 a prime number?
True
Is 1029103 prime?
True
Is 12763 composite?
False
Is 26337 prime?
False
Is 2579 composite?
False
Is 581891 a composite number?
False
Is 2627 prime?
False
Is 131861 composite?
False
Is 38587 composite?
True
Is 130387 composite?
True
Is 71945 a prime number?
False
Is 3371 a composite number?
False
Is 85 a composite number?
True
Is 45699 composite?
True
Is 9533 prime?
True
Is 3163 a prime number?
True
Is 50453 a prime number?
False
Is 38989 a composite number?
True
Is 136237 prime?
True
Is 86543 a prime number?
False
Is 431097 composite?
True
Is 1723789 prime?
False
Is 22094 a prime number?
False
Is 62597 prime?
True
Is 20849 composite?
False
Is 26661 a composite number?
True
Is 84937 composite?
True
Is 58177 a composite number?
True
Is 115979 a prime number?
True
Is 158113 composite?
False
Is 12659 a composite number?
False
Is 385603 a composite number?
True
Is 203741 a prime number?
False
Is 73345 a composite number?
True
Is 6521 a prime number?
True
Is 400763 prime?
False
Is 13157 a prime number?
False
Is 37039 a composite number?
False
Is 159917 a composite number?
True
Is 175957 prime?
False
Is 5095 composite?
True
Is 923107 a prime number?
True
Is 82067 a composite number?
False
Is 532913 prime?
False
Is 96893 composite?
False
Is 1088081 prime?
True
Is 13649 prime?
True
Is 68767 a composite number?
False
Is 1331089 a composite number?
True
Is 16057 prime?
True
Is 267959 prime?
True
Is 146 a prime number?
False
Is 3611 a prime number?
False
Is 39803 a prime number?
False
Is 446353 a composite number?
False
Is 403289 a prime number?
True
Is 59617 composite?
False
Is 325297 a prime number?
False
Is 27113 a prime number?
False
Is 728509 a prime number?
False
Is 11261 a prime number?
True
Is 20321 a composite number?
True
Is 547271 a prime number?
True
Is 1695589 a composite number?
True
Is 185161 a composite number?
False
Is 535697 a prime number?
True
Is 108577 a composite number?
True
Is 261691 a composite number?
True
Is 349627 a prime number?
False
Is 24611 prime?
True
Is 5381 prime?
True
Is 34039 composite?
False
Is 5007341 prime?
True
Is 154097 composite?
False
Is 29461 a prime number?
False
Is 860447 a prime number?
False
Is 958729 a composite number?
False
Is 44071 a prime number?
True
Is 178739 a composite number?
True
Is 160133 composite?
True
Is 12421 prime?
True
Is 750089 prime?
False
Is 28387 a composite number?
False
Is 3629 a composite number?
True
Is 341947 composite?
False
Is 879262 a composite number?
True
Is 185695 prime?
False
Is 21743 a composite number?
True
Is 48403 a prime number?
False
Is 642049 a prime number?
True
Is 144758 a composite number?
True
Is 283907 composite?
True
Is 3977 prime?
False
Is 2456423 a prime number?
False
Is 55849 prime?
True
Is 445579 prime?
False
Is 332407 a prime number?
False
Is 19207 a prime number?
True
Is 1945 a composite number?
True
Is 7317253 a prime number?
True
Is 4667 a prime number?
False
Is 576113 composite?
True
Is 1100219 prime?
True
Is 101737 a composite number?
False
Is 1894345 a composite number?
True
Is 80777 composite?
False
Is 6317 prime?
True
Is 128287 a composite number?
False
Is 7069 composite?
False
Is 23194 a prime number?
False
Is 7283 composite?
False
Is 1255 a prime number?
False
Is 224527 composite?
False
Is 18946 prime?
False
Is 2159 prime?
False
Is 456655 prime?
False
Is 629315 prime?
False
Is 174569 a prime number?
True
Is 569333 a prime number?
False
Is 2045 composite?
True
Is 3207745 a composite number?
True
Is 9661 prime?
True
Is 1563 composite?
True
Is 547249 a prime number?
True
Is 536806 a composite number?
True
Is 1853 a composite number?
True
Is 18119 prime?
True
Is 473509 prime?
False
Is 27239 composite?
False
Is 305062 prime?
False
Is 179 a composite number?
False
Is 7853 composite?
False
Is 390509 a prime number?
False
Is 41669 a composite number?
False
Is 64151 prime?
True
Is 7835 composite?
True
Is 11183 composite?
True
Is 1339259 prime?
True
Is 12459 prime?
False
Is 48283 a prime number?
False
Is 8101 a prime number?
True
Is 37039 prime?
True
Is 6407 a composite number?
True
Is 129697 a composite number?
True
Is 440007 a composite number?
True
Is 984667 composite?
False
Is 109987 a composite number?
False
Is 1637 composite?
False
Is 9155 prime?
False
Is 103451 a composite number?
False
Is 28429 a composite number?
False
Is 32603 prime?
True
Is 1114 prime?
False
Is 23531 a composite number?
False
Is 165079 composite?
False
Is 721355 composite?
True
Is 5207 prime?
False
Is 9029 prime?
True
Is 1471 a prime number?
True
Is 2053 composite?
False
Is 51549 a composite number?
True
Is 12323 a composite number?
False
Is 409939 composite?
True
Is 1008809 a prime number?
True
Is 38345 composite?
True
Is 1161137 composite?
False
Is 4783 prime?
True
Is 15809 prime?
True
Is 1069 composite?
False
Is 383739 a composite number?
True
Is 1137973 composite?
False
Is 11707 prime?
False
Is 49451 a composite number?
False
Is 81241 a prime number?
False
Is 1135259 a composite number?
True
Is 24239 a prime number?
True
Is 25433 a composite number?
True
Is 31637 composite?
True
Is 51443 a prime number?
False
Is 337 prime?
True
Is 5669 prime?
True
Is 36689 a prime number?
False
Is 5731 prime?
False
Is 165989 a prime number?
False
Is 10057 a prime number?
False
Is 33207 a prime number?
False
Is 513731 pri | {
"pile_set_name": "DM Mathematics"
} |
Factor q(z).
-(z + 53)**2
Let y(f) be the second derivative of 7*f**5/80 - 13*f**4/24 - 23*f**3/6 - 3*f**2 + 8209*f. Find c such that y(c) = 0.
-2, -2/7, 6
Let n = 1345/4 + -336. Let f(y) be the first derivative of -n*y**2 - 11/12*y**3 + 0*y + 11. Factor f(w).
-w*(11*w + 2)/4
Let a(k) be the second derivative of k**6/50 - 9*k**5/20 + 33*k**4/10 - 8*k**3 + 260*k - 2. Suppose a(o) = 0. Calculate o.
0, 2, 5, 8
Let o(c) = -9*c**3 - 304*c**2 - 522*c + 2240. Let g(r) = -200*r**3 - 6695*r**2 - 11485*r + 49280. Let h(a) = 2*g(a) - 45*o(a). Suppose h(s) = 0. Calculate s.
-56, -4, 2
Suppose 0 = 3*j - 3*l - 15, 3*l = -2*j - 2*l - 11. Let c be 25/3 + (-20)/(-30) + -1. Factor 4 - c*g**2 + 4*g**2 - 2*g**3 + j*g**3 - 4*g + 4*g**3.
4*(g - 1)**2*(g + 1)
Suppose 0 = -l + 5*i - 8, -5*l = -3*l - 13*i + 40. Let -l + 7/4*g**3 + 55/2*g**2 + 104*g = 0. Calculate g.
-8, 2/7
Let j(r) be the third derivative of r**7/1050 + r**6/450 - 17*r**5/150 + r**4/2 + 17*r**3/2 + 44*r**2. Let o(t) be the first derivative of j(t). Factor o(b).
4*(b - 3)*(b - 1)*(b + 5)/5
Let m(k) be the third derivative of k**5/100 + 7*k**4/8 - 20*k**3 + 3*k**2 - 238. Factor m(l).
3*(l - 5)*(l + 40)/5
Suppose 399*k = -5*k + 835 - 344 + 721. Factor -1/5*h**k - 4 + 2/5*h**2 + 19/5*h.
-(h - 5)*(h - 1)*(h + 4)/5
Let q(f) be the third derivative of 4*f**2 + 1/72*f**6 - 1/630*f**7 + 7/72*f**4 - 1/9*f**3 + 0 - 4*f - 1/20*f**5. Factor q(y).
-(y - 2)*(y - 1)**3/3
Suppose 7354 = 2*c - 1352. Let -c - 3*b**2 + 822 - 338 - 1423 - 252*b = 0. Calculate b.
-42
Let i(w) be the second derivative of w**5/4 - 35*w**4/6 - 85*w**3/6 + 75*w**2 + 476*w. Factor i(o).
5*(o - 15)*(o - 1)*(o + 2)
Let t(r) be the second derivative of r**6/360 + r**5/30 + r**4/8 - 4*r**3/3 + r**2 - 2*r. Let l(o) be the second derivative of t(o). Factor l(g).
(g + 1)*(g + 3)
Let c = -624 - -626. Let x be (-1)/c*(-17 - -17). Factor -6/17*v**4 - 6/17*v**3 + x + 0*v - 2/17*v**2 - 2/17*v**5.
-2*v**2*(v + 1)**3/17
Let j = 96817 - 871351/9. Factor -2*r**5 - 44/9*r**3 - j*r - 16/3*r**4 + 0 - 16/9*r**2.
-2*r*(r + 1)**2*(3*r + 1)**2/9
Let z be (-26)/65 + 24/10. Suppose z = -0*j + j. Factor 23*y**4 - 40*y - 7*y**4 - 8*y**2 - 20 + 10*y**3 - 7*y**j - 11*y**4.
5*(y - 2)*(y + 1)**2*(y + 2)
Let o(k) = k**2 + 3*k + 8. Let d(p) = p**2 + 3*p + 11. Let x(y) = 4*d(y) - 5*o(y). Solve x(w) = 0.
-4, 1
Let b(r) be the second derivative of -r**7/14 + r**6/10 + 27*r**5/10 - 7*r**4 - 28*r**3 + 144*r**2 - 71*r - 5. Find c such that b(c) = 0.
-4, -2, 2, 3
Find x such that -4*x**5 + 97*x**2 - 3556*x**4 - 248*x**3 + 27*x**2 + 48*x - 3606*x**4 + 7241*x**4 + x**2 = 0.
-1/4, 0, 1, 3, 16
Let g(u) = 98 - 180*u + 46*u**2 + 0*u**2 - 26 + 62*u**2. Let h(q) = -324*q**2 + 540*q - 217. Let v(m) = -8*g(m) - 3*h(m). Factor v(s).
3*(6*s - 5)**2
Let u(n) = -n**2 - 2*n - 24. Let i be u(0). Let l = -21 - i. Let -3*z**4 - 4*z**l + 6*z + 14*z**5 + 3*z**2 - 11*z**5 - 5*z**3 = 0. Calculate z.
-1, 0, 1, 2
Let f(g) be the third derivative of -g**7/315 + 43*g**6/6 + 646*g**5/15 + 1939*g**4/18 + 431*g**3/3 - 3*g**2 - g + 21. Factor f(l).
-2*(l - 1293)*(l + 1)**3/3
Let n(i) be the third derivative of -i**6/120 + i**5/3 + i**4/24 - 10*i**3/3 + i**2 + 129. Let n(p) = 0. What is p?
-1, 1, 20
Let b(g) be the first derivative of 1/120*g**6 + 3/20*g**5 + 0*g**2 + 5 - 32/3*g**3 - 7/8*g**4 + 0*g. Let o(r) be the third derivative of b(r). Factor o(a).
3*(a - 1)*(a + 7)
Let y(c) = 32*c**3 - 2*c**2 - 2*c + 3. Let j be y(1). Solve -45*v**3 + j + 46 - 37 - 220*v + 190*v**2 = 0 for v.
2/9, 2
Suppose 44*y - 99*y = -52*y - 15. Let q(f) be the first derivative of -2*f**2 + 0*f + 4/5*f**5 + 4*f**3 - y - 3*f**4. Suppose q(c) = 0. What is c?
0, 1
Let v = 75 - -53. Factor -17*d - d**2 + 54 + 44 - v.
-(d + 2)*(d + 15)
Let j(v) be the first derivative of -v**3/3 - 7*v**2/2 - 8*v + 13. Let x be j(-5). Factor 72*u + 2*u**3 + 3*u**2 - 25*u**2 + 0*u**2 - x*u**2.
2*u*(u - 6)**2
Let b(y) be the third derivative of 0 + 8/3*y**3 + 162*y**2 - 1/5*y**5 + 47/12*y**4 + 0*y. Find r such that b(r) = 0.
-1/6, 8
Let o(g) = -23*g + 117. Suppose 32*c - 145 = 3*c. Let p be o(c). Let 4/3*y**p - 2*y - 4/3 = 0. Calculate y.
-1/2, 2
Suppose -5*a + 4*n + 411 = 0, -27*n = -2*a - 29*n + 150. Factor -4*t - 128*t**2 - 7*t**3 + a*t**2 + 65*t**2.
-t*(t - 2)*(7*t - 2)
Let o(k) be the second derivative of -k**4/4 - 197*k**3/3 - 131*k**2/2 - 2*k + 1299. Find j, given that o(j) = 0.
-131, -1/3
Let k(w) be the third derivative of -7*w**5/8 - 103*w**4/8 + 6*w**3 + 7035*w**2. Factor k(t).
-3*(t + 6)*(35*t - 4)/2
Find u, given that 0 + 19*u - 1/3*u**2 = 0.
0, 57
Let t = 224 - 222. Suppose 4*h + 2*i = 4, 5 = t*h - 3*i - 5. Solve -2/5*q**h + 2/5*q**3 - 4/5*q + 0 = 0.
-1, 0, 2
Let m = 37 - 14. Suppose 21*h = m*h - 6. Factor -2/3 + 1/3*f + 2/3*f**2 - 1/3*f**h.
-(f - 2)*(f - 1)*(f + 1)/3
Let m(p) be the second derivative of p**4/66 - 10*p**3/11 + 77*p + 2. Find o, given that m(o) = 0.
0, 30
Let t(r) be the first derivative of 2*r**5/5 + 191*r**4/22 + 1060*r**3/33 + 168*r**2/11 - 6323. Let t(z) = 0. What is z?
-14, -3, -4/11, 0
Factor 0 - 21/2*v**4 - 38*v**2 + 39*v**3 + 1/4*v**5 + 0*v.
v**2*(v - 38)*(v - 2)**2/4
Let a be (-7 + (-117)/(-18))/((-2)/96). Let d be 243/a - 6 - 4. Factor -1/4*l**3 + 1/8*l**4 - d*l**2 + 0 + 1/4*l.
l*(l - 2)*(l - 1)*(l + 1)/8
Let j(s) be the third derivative of s**5/240 + 41*s**4/48 + 30*s**3 - 546*s**2 - 2*s + 1. Factor j(d).
(d + 10)*(d + 72)/4
Let d = -54 - -56. Suppose 0 = -v - 2*v + 6. Let 5*f**3 - v*f**d - 3 + 2*f**2 + 13 - 15*f = 0. What is f?
-2, 1
Let o(a) = -37*a**3 + 80*a**2 + 99*a + 33. Let c(j) = 12*j**3 - 27*j**2 - 33*j - 12. Let p(z) = -17*c(z) - 6*o(z). Factor p(b).
3*(b - 2)*(b + 1)*(6*b - 1)
Let k be 21/7*(-5*1 - 9424/(-1860)). Factor 2/5*w + k*w**2 + 0.
w*(w + 2)/5
Let g(d) = 4*d**2 - 4*d - 5. Let k be g(3). Suppose 17 = 2*h - 3*a, -h + a + k = h. Determine t so that 11*t**3 - 2*t**4 - 18*t**3 - t + h*t**3 = 0.
-1/2, 0, 1
Suppose 0 - 120 = -5*b. Factor -b*k + 21*k**2 - 14*k**2 - 4*k**2.
3*k*(k - 8)
Let o(b) be the second derivative of 122*b + 13/14*b**3 + 0 - 1/28*b**4 + 0*b**2. Let o(r) = 0. Calculate r.
0, 13
Determine z so that 4992*z + 5120 - 156/5*z**3 + 5764/5*z**2 + 1/5*z**4 = 0.
-2, 80
Let u = 1453/6 + -653/3. Let g = 185 - 369/2. Factor -u + 7*a - g*a**2.
-(a - 7)**2/2
Let y(o) be the first derivative of -1/2*o**2 - 3/2*o - 53 - 1/24*o**3. Factor y(x).
-(x + 2)*(x + 6)/8
Let o be (-128)/10 + 2 + (-21)/105. Let k be ((-495)/(-21))/o - -9. Determine g so that -4/7*g**2 - k*g - 144/7 = 0.
-6
Let i(q) be the second derivative of -29/8*q**4 - q - 1 + 9/80*q**5 - 5/2*q**2 - 119/24*q**3. Factor i(p).
(p - 20)*(3*p + 1)**2/4
Let z(g) be the third derivative of 0*g**4 - 67*g**2 + 0 - 1/2*g**5 + 5/336*g**8 + 0*g**3 + 0*g - 10/63*g**7 + 13/24*g**6. What is f in z(f) = 0?
0, 2/3, 3
Let x be (-14)/(1190/(-3349)) + -37. Factor 2/5*b**2 + 2/5*b**4 + 0 - 8/5*b**3 + x*b.
2*b*(b - 3)*(b - 2)*(b + 1)/5
Let p = 646852 + -4527959/7. Factor 6/7*c**2 + 1/7*c**3 + 0 + p*c.
c*(c + 1)*(c + 5)/7
Find q such that -6*q**4 + 8/3*q + 38/3*q**3 + 136/9*q**2 + 0 = 0.
-2/3, -2/9, 0, 3
Let l = -374365/4 - -93592. Factor 1/4*a**3 - 5/4*a**2 + 7/4*a - l.
(a - 3)*(a - 1)**2/4
Let p(m) = -5*m**2 + 10*m + 38. Let z(w) = 9*w**2 - 19*w - 21 + 2*w**2 - 56. Let l(o) = -5*p(o) - 2*z(o). Suppose l(f) = 0. What is f?
-2, 6
Suppose -21 + 201 = 18*c. Determine g so that 124*g**2 - 60*g**2 - 63*g**2 + 3*g - c = 0.
-5, 2
Factor -20*f**2 + 1/3*f**4 + 59/3 - 58/3*f**3 + 58/3*f.
(f - 59)*(f - 1)*(f + 1)**2/3
Let u(k) be the third derivative of -105*k**2 + 0*k - 6250/3*k**3 + 1 + 125/6*k**4 - 1/12*k**5. What is y in u(y) = 0?
50
Let t(v) be the third derivative of -4*v**4 - 11/2*v**3 - 1/5*v**6 + 1/70*v**7 - 29*v**2 + 0 + 0*v - 3/2*v**5. Factor t(q).
3*(q - 11)*(q + 1)**3
Let x be 716/70 - (-770)/550*20/(-35). Factor x*t + 0 + 9*t**2 - 3/7*t**3.
-3*t*(t - 22)*(t + 1)/7
Find r, given that 0 + 252/5*r**2 + 2/5*r**3 - 254/5*r = 0.
-127, 0, 1
Suppose 3*g + 188 = 38. Let t be (g/15 + 3)*1*-15. Determine m, given that 32*m**2 - 60*m**3 - 4*m + 64*m**t - 75 + 75 - 32*m**4 = 0.
-1, 0, 1/4, 1
Let f(h) be the first derivative of h**4/18 + 598*h**3/27 + 589*h**2/3 + 586*h + 748. Factor f(i).
2*(i + 3)**2*(i + 293)/9
Factor 46/11*t - 252/11 - 2/11*t**2.
-2*(t - 14)*(t - 9)/1 | {
"pile_set_name": "DM Mathematics"
} |
328 = -8*c. Does 19 divide c?
False
Let n(r) = -r**3 + 19*r**2 - 6*r + 17. Is 7 a factor of n(18)?
False
Let n(z) = 204*z + 14. Let h be n(-3). Is (-20)/(-70) - h/14 a multiple of 43?
True
Let o = 6 - 0. Let y(t) = -5*t**3 + 4*t**2 + 6. Let i(c) = -9*c**3 + 8*c**2 + 13. Let b(n) = -4*i(n) + 7*y(n). Is 19 a factor of b(o)?
False
Let r(b) = -b**3 - 10*b**2 - 19*b - 10. Let q be r(-8). Suppose 2*g + q - 38 = 0. Is g a multiple of 12?
True
Suppose 2*r + a = 2 + 20, -r - a + 13 = 0. Suppose -r*t + 34 = -695. Does 34 divide t?
False
Suppose 17*z + 3819 = 23352. Does 8 divide z?
False
Suppose -11*k + 1927 = -768. Is 28 a factor of k?
False
Let a = -2 + 7. Suppose -5*m = -4*n + 5*n - 515, 4*m - 441 = a*n. Is m a multiple of 15?
False
Suppose 4*p - 2*p - 6 = 0. Suppose -176 + 626 = p*w. Is 16 a factor of w?
False
Is (4/8*-1)/(6/(-6984)) a multiple of 14?
False
Let h = -2 + 7. Suppose 10 = h*d - 5. Suppose -d*g + 110 = -4. Is 19 a factor of g?
True
Let y = -85 - -83. Let q = -4 + -22. Let o = y - q. Is 8 a factor of o?
True
Let c(z) = -2*z - 4. Let u be (-2)/(-8) - (-9)/(-4). Let j be c(u). Suppose -2*l + 9 = 4*d - 17, j = -4*l + 4*d + 64. Is l a multiple of 15?
True
Let j be (-3)/9 + 8/24. Let d(h) = h**3 + h**2 + 56. Does 8 divide d(j)?
True
Suppose 0 = -15*o + 14*o. Suppose 6*v - 3*v - 9 = 0. Suppose -42 = -v*m - o. Is m a multiple of 7?
True
Let i be (-10)/75 - 0 - (-32)/15. Suppose b = i*b - 3. Is b a multiple of 3?
True
Let w(o) = -o**3 - 17*o**2 - 4*o + 13. Is 34 a factor of w(-19)?
False
Suppose -1710 = 341*k - 343*k. Is 45 a factor of k?
True
Suppose -3*n + 4*c - 6*c - 4 = 0, -n = 4*c + 8. Suppose -6*p + 7 + 5 = n. Suppose 5*s - 5*f - 132 = -p, 38 = s - 5*f. Does 4 divide s?
False
Does 32 divide (557/(-3))/(15/(3 + -93))?
False
Let f(v) = -v**2 + 9*v - 3. Let s be f(6). Let h = -25 + s. Let t = 37 + h. Is 9 a factor of t?
True
Let g = 467 + -248. Is 13 a factor of g?
False
Is 8 a factor of 1393 - 5*((-126)/(-30) - 4)?
True
Suppose -95 = -3*g + 37. Suppose -w - 2*w + 5*l - 33 = 0, -w = 3*l + 25. Let i = g + w. Does 14 divide i?
True
Suppose -216*j + 213*j = -150. Is j a multiple of 5?
True
Let v(w) = w + 8. Let f(i) = 2*i + 15. Let u(j) = 4*f(j) - 7*v(j). Let x be ((-14)/(-5))/((-12)/(-30)). Is u(x) a multiple of 3?
False
Let h be -1 - 3 - (-426)/30*-5. Let u = h + 161. Does 13 divide u?
False
Does 10 divide (6 + (-22 - 9))*176/(-10)?
True
Let m = -38 + 196. Is m a multiple of 15?
False
Suppose -3*p - 404 = -5*p. Suppose 5*c = 15, 3*c - p = -h + c. Is 14 a factor of h?
True
Let l = 245 + -27. Does 18 divide l?
False
Suppose 0 = 3*g + 4*v - 8, -g - v = 4*g + 15. Is 11 a factor of 47/5*(1 - g)?
False
Let k be (45/6)/((-6)/(-16)). Let p be (45/k)/((-6)/(-16)). Is 13 a factor of 97/p + 6/(-36)?
False
Suppose 3*m - 30 = m. Let q(r) = -r + 20. Let s be q(m). Suppose 3*i = h - s*h + 274, 4*h - 258 = 5*i. Is h a multiple of 18?
False
Let h(k) be the second derivative of k**5/20 + 3*k**4/4 + k**3/2 - 6*k**2 - 12*k. Is h(-7) a multiple of 17?
False
Let j(q) be the first derivative of 5*q**2/2 + 7*q + 6. Let v(o) = -5*o - 8. Let l(n) = 2*j(n) + 3*v(n). Does 20 divide l(-14)?
True
Let b(g) = g - 1. Let l(t) = 11*t + 37. Let i(y) = 5*b(y) - l(y). Does 25 divide i(-13)?
False
Suppose 636 + 132 = 5*p - 2*a, -2*p - 2*a = -296. Is 6 a factor of p?
False
Suppose -2*i + 2*x = -54, 0*i - 3*x = 5*i - 127. Suppose 5*y + 45 + i = -2*b, b = -2*y - 28. Does 10 divide 13/(y/(-6) + -2)?
False
Suppose -5*d + 18 = 118. Is 11 a factor of 8/d*(-6)/4*40?
False
Suppose 3*u - 3 = 5*t, -5 = 4*u - 3*t + 2. Let h(p) = -p**2 - 5*p + 1. Let z be h(u). Suppose z*v - 27 = 28. Does 11 divide v?
True
Suppose 0 = -3*h + h - 4*f + 16, -5*f = 3*h - 20. Let i = h + 6. Suppose -i*t + 3*t = -51. Is t a multiple of 3?
False
Suppose 0 = 4*f - 3169 - 4639. Does 16 divide f?
True
Let h(b) = b**3 - 5*b**2 + 6*b - 4. Let y be h(4). Let o = 44 - y. Is 8 a factor of o?
True
Suppose 7*d - 1566 = -376. Is 17 a factor of d?
True
Suppose -6*n = -11*n. Suppose v = 0, -3*i + 4*v + 6 + 18 = n. Is i a multiple of 4?
True
Let p(z) = z**2 - 2*z + 28. Let s be 4/6 - (2/(-6) + 1). Does 7 divide p(s)?
True
Suppose -7*g + 3*g - 32 = -5*j, -2*j + 4*g = -8. Let r(q) = 25*q - 18. Is 55 a factor of r(j)?
False
Let j = 11 + -3. Let n(t) = -t**2 + 8*t + 10. Let i be n(j). Suppose -3*s + 2*s = -i. Does 3 divide s?
False
Is (286/15*3)/((-24)/(-1920)) a multiple of 22?
True
Does 67 divide 0 - -3288 - (2 + 1 + 3)?
False
Suppose -20*g - 25 = -25*g. Let t(d) be the second derivative of d**4/6 + 7*d**3/6 - 5*d**2/2 + 14*d. Does 16 divide t(g)?
True
Suppose -5*f = -35 - 10. Suppose f*t + 1276 = 20*t. Is 16 a factor of t?
False
Let m = 13 - 10. Suppose -4*h + 13 = d - 3, -m*h + 5*d - 11 = 0. Is 11*(-3 + 2 + h) a multiple of 18?
False
Let w(t) = t**2 + 8*t. Let b be w(-4). Suppose 0 = 5*n + 96 + 44. Let h = b - n. Does 4 divide h?
True
Let k be 6054/54 - 1/9. Let u = k - 72. Does 4 divide u?
True
Suppose 2*o - 566 = -0*o. Is o a multiple of 31?
False
Let y(j) = 3*j**2 + 10*j + 35. Is y(-5) a multiple of 15?
True
Let g(n) = 2*n**2 - 21*n - 49. Is 57 a factor of g(-6)?
False
Let n = -1394 - -2077. Is n a multiple of 24?
False
Suppose 56 = -3*o - 4*t + 178, 3*o - 2*t - 146 = 0. Let z = o + -44. Is z even?
True
Let d(r) = 3*r**3 - 4*r**2 - 3*r + 19. Does 9 divide d(4)?
True
Let j(v) = 7*v - 8 - v**3 - 4 - 20*v + 7*v**2 - 17*v**2. Is j(-9) a multiple of 6?
True
Is 1930/(-280)*-7 + (-2)/8 a multiple of 4?
True
Let c(j) = j + 7. Let x be c(-7). Let z be (-19)/(-2) + (-10)/(-20). Let t = x + z. Is 10 a factor of t?
True
Let v = 150 + 218. Is 16 a factor of v?
True
Does 7 divide 617/4 + (-5)/20?
True
Suppose -6*x + 10*x - 36 = 0. Let g = 36 - x. Does 27 divide g?
True
Let i(v) = -2*v + 5. Let s be i(-3). Let x = 23 - s. Does 11 divide x?
False
Let z = -35 + 35. Suppose z = -2*k - 2*i + 118, -k - i = -3*i - 44. Does 7 divide k?
False
Suppose b + 20 = 6*b. Suppose b*k + k = 50. Suppose -k*l + 7*l = -75. Does 12 divide l?
False
Let m be (-4)/(-4*3/9). Suppose 4*y = j + 450, 2*y + m*j - 256 = -38. Is 14 a factor of y?
True
Let b(t) = t**3 - 11*t**2 + 19. Let f be b(10). Let p = f + 117. Is p a multiple of 18?
True
Let p = -24 - -37. Let b = 18 - p. Suppose 5*c = -5*h + 250, -5*c - b - 15 = 0. Does 13 divide h?
False
Is 14 a factor of (-1 + 7/(-3))*2520/(-25)?
True
Let h = -264 + 498. Does 26 divide h?
True
Suppose 0 = -2*q - 3*s + 126 + 30, -5*q - 3*s = -372. Does 6 divide q?
True
Let g be (16/(-6))/((-16)/24). Suppose -g*s + 149 = 45. Let j = 41 - s. Is 6 a factor of j?
False
Suppose b + 2*k - k = -121, -5*b = 3*k + 597. Let u = -67 - b. Is 5 a factor of u?
True
Let s(d) = -d + 1. Let a be s(1). Let y(u) = -u**2 + 13. Does 2 divide y(a)?
False
Let f(c) = -c**3 + 11*c**2 + 11*c + 9. Let d be f(12). Let p be (-3)/(-2 - d) + -5. Does 7 divide ((-23)/(-4))/(p/(-32))?
False
Does 27 divide 1*(-8)/(-6) - 1970/(-3)?
False
Suppose 647*i = 656*i - 20799. Does 25 divide i?
False
Let z(j) = 1. Let n(l) = -3*l - 8. Let a(s) = n(s) - 3*z(s). Let f be a(-7). Let u(c) = 11*c - 24. Is u(f) a multiple of 20?
False
Let i(x) = -x. Let n be i(-2). Suppose -n*q + 235 = 3*q. Does 8 divide q?
False
Let q be (-3)/12 - (-57)/(-12)*-11. Is 15 a factor of (1 - (5 - 0)) + q + 0?
False
Let o be ((-6)/9)/(4/(-12)). Suppose o*f - 5 = -1. Suppose 5*n = 5*s + 190, 0 = 5*n - n + f*s - 182. Is 14 a factor of n?
False
Suppose -2*d = -4, 5*j = 10*j + d - 302. Suppose 0 = -3*y - y + j. Does 2 divide y?
False
Let a(d) = d**3 + 8*d**2 + 3*d - 8. Suppose 0 = 3*c + 5*g - 263, 3*c + 3*g = -g + 268. Let j be c/(-15) + (-4)/(-10). Is 28 a factor of a(j)?
False
Let s(j) = -3*j - 6. Let o be s(-3). Suppose -o*c + 577 = 2*c - g, -c + 122 = 2*g. Does 23 divide c?
False
Let t be (30/40)/(2/216). Suppose -2*d + 2*z + t = z, d = z + 41. Is 6 a factor of d?
False
Suppose 9 - 1 = 5*l - 2*z, 12 = 4*l + 4*z. Suppose 0 = 4*d + 3*j + 40, l*d + d = 3*j - 30. Is ((-32)/d)/(8/140) a multiple of 23?
False
Let d(l) = -l**3 - 2*l**2 + 1. Let a be d(1). Let g be 4/(8/(-27))*a. Let c = g - -24. Is c a multiple of 17?
True
Let g be (0 + 1)/(8/40). Suppose g*c = c + 2*d + 344, 0 = 4*c - 4*d - 352. Is 21 a factor of c?
True
Let m = -9 - -12. Suppose -2*t = m*j - 191, j = 5*t + 6*j - 490. Suppose 4*u + 3*r | {
"pile_set_name": "DM Mathematics"
} |
o be y(2). Suppose 3*g - 5*a = -3, -5*a + f*a - 5 = -o*g. List the prime factors of g.
2
Let t(g) = g. Let q be t(4). Suppose -q*x + m = -109, 225 = 5*x - 3*m + 80. Suppose 6 - x = -5*i. What are the prime factors of i?
2
Suppose 11 = 5*s + g, -2*s - 5*g + 6 + 3 = 0. Suppose 6*i = s*i + 36. Suppose 2*f - i = -f. What are the prime factors of f?
3
Suppose 2*b = -0*l + 3*l - 9, -5*l + 5*b + 10 = 0. Let t(r) = -6 + 1 + 0 + 4*r. List the prime factors of t(l).
3, 5
Suppose 0 = -3*j + 9. Suppose -j*c + 4*u = -6*c + 121, -3*c + 3*u = -93. Suppose c = 5*y - 0*y. What are the prime factors of y?
7
Let m = -6 - -25. What are the prime factors of m?
19
Let m(p) = -p**3 + 3*p**2 + 4*p - 1. What are the prime factors of m(3)?
11
List the prime factors of 54/2 + (-24)/(-12).
29
Suppose d - 12 = -3*d. Suppose -d*u + 14 = -7. List the prime factors of u.
7
Let l(u) = -u**3 + 5*u**2 - 3*u - 4. Let c be l(4). Suppose s - 3 = -c*s. List the prime factors of (15/(-2))/(s/(-4)).
2, 5
Let q(a) = a**3 + 7*a**2 + 7*a + 9. Let n be q(-6). Let p = 8 - n. Suppose 52 = p*v - 53. What are the prime factors of v?
3, 7
Let d(p) = 2*p**2 + p + 89. What are the prime factors of d(0)?
89
Let l(c) = c - 16. List the prime factors of l(18).
2
Let a(r) = -r + 10. Let y be a(7). Suppose -3*t = -y*w - 2 - 1, 2*w - 1 = t. What are the prime factors of w?
2
Let f(u) = u**3 - 2*u**2 + 7*u + 1. Let y(a) = -a**2 + a + 1. Let b(m) = -f(m) + 6*y(m). List the prime factors of b(-4).
3
Let d(g) = 2*g**3 - 4*g**2 + 4. Let l be d(3). Suppose -4*x + x = b - l, -5*b + 8 = -2*x. List the prime factors of x.
2, 3
Suppose 0 = -m + 5*m - 2*i - 166, 0 = -3*m - 4*i + 152. What are the prime factors of m?
2, 11
Let y(u) = 8*u + 1. List the prime factors of y(14).
113
List the prime factors of 10 - 2*(-3 + 5).
2, 3
Let x = 0 - 11. Let z = x - -15. Let m = z - -7. What are the prime factors of m?
11
Let h(b) = -4*b - 17. List the prime factors of h(-11).
3
Suppose 2*i = -c + 270, -1744 = -5*c - 4*i - 364. List the prime factors of c.
2, 5, 7
Suppose -3*j - 2*f + 853 = 0, f - 1144 = -4*j + 5*f. What are the prime factors of j?
3, 5, 19
Let d = 14 - 10. Suppose -d*c - 78 = -7*c. What are the prime factors of c?
2, 13
Let p(d) = -d**2 - 10*d + 6. Let h be p(-11). Let i(t) = -t**3 - 2*t**2 + 5*t + 4. List the prime factors of i(h).
2, 3
Let v be (-24)/(-2) + 1 - 3. List the prime factors of (60/(-25))/((-2)/v).
2, 3
Let w be (2 - (4 - 2)) + 20. Suppose -w = 3*y - 62. What are the prime factors of y?
2, 7
Suppose 133*x - 128*x = 20. What are the prime factors of x?
2
Let n(b) = -4*b + 2. What are the prime factors of n(-3)?
2, 7
Let o(u) = -5*u - 2. Let c be o(-3). Let a = c - 23. What are the prime factors of (-2)/(4/a) - 2?
3
Let d(m) = -m**2 - 20*m + 9. What are the prime factors of d(-19)?
2, 7
Let x(z) = z**2 - 4*z - 1. Let f be x(3). Let a(q) = -q**3 - 2*q**2 + 5*q - 2. List the prime factors of a(f).
2, 5
Suppose 0 = 6*q - 2*q - 104. Let p = -14 + q. Suppose -4*y = -y - p. List the prime factors of y.
2
Let f be 2*1/((-4)/(-14)). What are the prime factors of 4*f - 3/(-1)?
31
Suppose -p + 92 = p. List the prime factors of p.
2, 23
Suppose 4*x + 16 = 0, -2*i + 65 = 5*x - 3. List the prime factors of i.
2, 11
What are the prime factors of (-44 + 0)*(-1 - (-6)/(-4))?
2, 5, 11
Suppose -330 = -5*x + 2*m + 121, m = 2. List the prime factors of x.
7, 13
Let d be 260/(-4) + 0 + 0. Let y = -44 - d. List the prime factors of y.
3, 7
Suppose n = h + 72, 6*h - 2*h - 16 = 0. List the prime factors of n.
2, 19
Let g = 158 - 317. Let f = -113 - g. What are the prime factors of f?
2, 23
What are the prime factors of (1 + -25)*(-1 + 0)?
2, 3
Let c(z) = -4 + 2 + z + 4 + 0. Let v be c(0). List the prime factors of v/(1 + 3)*26.
13
Let p(m) = m - 6. Let w(r) = r**2. Let a be w(2). Suppose o - 4 - a = 0. What are the prime factors of p(o)?
2
Suppose 12 = 3*c + 3*l, -c + 2*l = -2*c + 5. Suppose -c*x + 5 = -1. Suppose 0 = 4*o + i - 84, -3*o - 2*i = x*o - 102. List the prime factors of o.
2, 11
Let j(h) = -h - 4. Let w(p) = p**3 - 6*p**2 - 8*p + 4. Let k be w(7). Let n be j(k). Let g = 2 - n. What are the prime factors of g?
3
Let x(o) = -o + 13. Let t be x(8). Suppose 4*d + 12 - 3 = f, 5*f + t*d = -30. Let i(h) = h**2 + h - 3. List the prime factors of i(f).
3
Let b(d) = d - 6. Let i be b(7). Let z be 2 + (2 + 0 - i). Suppose -j = -z*j + 8. What are the prime factors of j?
2
Let m(j) = 4*j**2 - 4*j - 4. Let q be m(-3). Suppose -5*d + d - q = -4*n, -n - d + 17 = 0. List the prime factors of n.
2, 7
Let l = 101 + -58. Suppose -z + 0*z = -l. List the prime factors of z.
43
Suppose 5*z + 4*j = -3 + 19, 14 = 4*z + 2*j. Suppose 6*s - s = 3*b + 45, -36 = -z*s - 4*b. List the prime factors of s.
3
Suppose 0 = -b - 4*b + 5, 4*b - 53 = -l. List the prime factors of l.
7
Let o(s) = -3*s + 22. Let k(j) = 4*j - 21. Let v(a) = 2*k(a) + 3*o(a). What are the prime factors of v(0)?
2, 3
Suppose 3 - 12 = -3*r. Suppose -3*m = -4*p + 44, -r*p = 7*m - 2*m - 4. List the prime factors of p.
2
Let w = -1 - -3. Suppose w*d = -3*d + 20. What are the prime factors of d?
2
Suppose -12 + 4 = -4*r. Suppose -r*z = 4 - 0. List the prime factors of z/2 + 2 + 6.
7
Suppose 6 = 3*n - 6. Suppose n*z - 4*i - 60 = 0, -i + 7 = -2*z + 3*z. What are the prime factors of z?
11
Suppose -b + 4*m = 7*m - 116, 4*m = -5*b + 569. What are the prime factors of b?
113
Let i(u) = -u - 2. Let a be i(-11). Let h(y) = 3*y + 3. List the prime factors of h(a).
2, 3, 5
Suppose 2*z = 5*z - 171. Suppose 0*a - z = -3*a. List the prime factors of a.
19
Suppose -3*c = -2*c - 3*t - 12, -101 = -3*c - 4*t. List the prime factors of c.
3
Suppose -f + 5 + 7 = 0. Let d be f/9 - 4/(-6). Suppose d*t = -0*t + 8. List the prime factors of t.
2
Suppose 2*r = -0*r + 42. Suppose 2*k - r = k. Suppose -2*i + k = l, -2*i - 2*l + 13 = -7. List the prime factors of i.
11
Suppose -2*z - z - 2*p = -354, -3*z + 2*p + 354 = 0. Let a = 168 - z. Suppose -7*k + a = -2*k. What are the prime factors of k?
2, 5
Suppose 2*a + 2*a - 20 = 0. Let i be -2 + a/(15/12). Suppose 7 = i*v + c, 2*c - 4 = -2*v + 2. List the prime factors of v.
2
Suppose -k + 9 + 2 = 0. Suppose -k = -2*p + 3. What are the prime factors of p?
7
Suppose 5*l = -x - 0*x + 48, 5*x = 3*l + 128. Let q = x + -6. What are the prime factors of q?
2, 11
Let f = 0 + 3. Suppose d + 2*z + 83 = -2*d, 78 = -f*d + 3*z. Let x = d - -42. What are the prime factors of x?
3, 5
Let o(n) = n**2 - 15*n + 17. Let g be 15 - (3 - (-2)/(-1)). Let b be o(g). Suppose -y = -b*h + h - 15, 5*y - 93 = h. List the prime factors of y.
19
Suppose 1 + 6 = t + 2*h, 0 = -4*h + 4. Suppose -j - 2*v + 31 = 3*v, v = t. List the prime factors of j.
2, 3
Suppose 4*y + 2*z = 272, 0*z = 5*z - 10. What are the prime factors of y?
67
Let r be -3 + (-3 + 9)/1. List the prime factors of ((-406)/21)/((-2)/r).
29
List the prime factors of -6 + 57 + 1*-3.
2, 3
Let m(p) = -p**3 - 7*p**2 - 7*p - 2. Let b be m(-6). Suppose 0 = x + b*x - 50. What are the prime factors of x?
2, 5
Let o be (-2)/(-11) - 136/22. Let v(a) be the third derivative of -a**4/12 + a**3/3 - a**2. What are the prime factors of v(o)?
2, 7
Suppose 57 = -3*x + 159. Let m = x + -11. What are the prime factors of m?
23
Let q(l) = 5*l**2 + l. Let d be q(-1). Let u(w) be the first derivative of 2*w**2 - 4*w - 3. What are the prime factors of u(d)?
2, 3
Suppose 4*b = 13 + 3. Suppose v + 3*h + 6 = 0, b*v - 2*h = 1 + 3. Let y = 11 - v. What are the prime factors of y?
11
Suppose n - 5*a = 8, 0*n + n - 1 = -2*a. Suppose -2*m + 1 = -n*m. Let b(w) = 5*w**2. List the prime factors of b(m).
5
What are the prime factors of (-18844)/(-70) - (-1)/(-5)?
269
Let p(j) = j**3 + 4*j**2 + 1. Let a be p(-4). Let d = 3 - a. List the prime factors of d.
2
Let k(v) = v**2 - v + 16 + 0*v + 7 + 2. List the prime factors of k(0).
5
What are the prime factors of ((-6)/(-4))/(15/210)?
3, 7
Let i(v) = v**3 - 15*v**2 + 17*v - 19. List the prime factors of i(14).
23
Let g = -73 - -204. What are the prime factors of g?
131
Let a = 20 + -8. Let w = 40 - a. What are the prime factors of w?
2, 7
Let l(p) = p**2 - 12*p + 12. Let b(m) = 5*m**2 - 61*m + 61. Let r(c) = -2*b(c) + 11*l(c). What are the prime factors of r(10)?
2, 5
Let j = 1 + 4. Suppose -j*f + 25 = -2 | {
"pile_set_name": "DM Mathematics"
} |
Which is the nearest to l? (a) 4 (b) u (c) -0.3
c
Let y = 0.135 + -5.135. Which is the closest to -1? (a) -3/2 (b) -2/17 (c) y
a
Let x = 1 - 0. Let c = -27 + 11.7. Let y = c + 15. What is the closest to x in -5, -2, y?
y
Let p = 2 + -5. Which is the closest to 5? (a) p (b) 1/6 (c) 0.2
c
Let f = -4 - -3.8. Let j = -2 + 1. Let l = -8.1 - -8. What is the nearest to j in f, -2, l?
f
Let s = 0.1 + 0.2. Let t = s - 0.4. Let b = -0.8 + 0.3. What is the closest to t in 1, b, -4?
b
Let k = -1/728 + -89/104. Let y = 2 - 3. What is the closest to 0.1 in k, 2/13, y?
2/13
Let s = 3.02 - 0.02. Let n = 6 - s. Let u = -0.13 - -5.13. What is the closest to -2/3 in n, u, 4?
n
Let z = 24 + -73/3. Let q = -31/4 + 8. Which is the nearest to q? (a) -1 (b) 2 (c) z
c
Let l = 477 + -330. Let s = -1027/7 + l. Let n = 7 + -12. What is the closest to 0 in s, 1, n?
s
Let f = -12 + 7. Let j be (28 - 28)/(1 + -4). Let s = -3.1 + 0.1. Which is the nearest to j? (a) f (b) s (c) -1
c
Let j = -1.1 - -0.1. Suppose 5*t - 3*l = -23, 4*t - 4*l + 10 + 10 = 0. Let w = t + 1. Which is the nearest to 0.1? (a) 2 (b) w (c) j
c
Let c be ((-1578)/(-4))/(21/6). Let t = -113 + c. Let k = 0.3 - 0.7. What is the nearest to t in k, -1, 0?
k
Let p be 1/(1 - (-1 - -3)). Let j = -5.08 + 0.08. Let t = -6 - -5.6. Which is the closest to 0.1? (a) j (b) t (c) p
b
Let p = -0.12 - 4.88. Let j be (-15)/4 + 3 + 0. Which is the nearest to 1? (a) -4 (b) p (c) j
c
Let n = -13 + 12.9. Which is the nearest to -0.5? (a) 2 (b) 1/5 (c) n
c
Let f = 24 - 27. Which is the closest to f? (a) -1 (b) 3 (c) 4
a
Let z = -0.06 - -0.82. Let v = 0.26 - z. What is the nearest to 3 in 0.2, v, 5?
5
Let d(p) = -p**3 - 5*p**2 + 5*p - 2. Let z be d(-6). Let h = -3 + 3.1. What is the closest to h in 1/8, 0.4, z?
1/8
Let m = -1/63 - 313/126. Which is the closest to -2/7? (a) m (b) 3 (c) 3/7
c
Suppose -p - 5*d + 14 = -12, -5*d = -2*p - 23. Which is the closest to 0? (a) -1/5 (b) p (c) 1/2
a
Let j = 5.4 + 0.6. Let b = 5.12 + -0.12. Let y = b - j. What is the closest to -0.2 in y, -4, -3/8?
-3/8
Let t = -0.63 - -0.53. Let o = 0.4 + -0.3. Which is the nearest to t? (a) o (b) 1 (c) 1/3
a
Suppose -3*w - 27 = -375. Let v = -814/7 + w. Let p = 7 + -7.3. Which is the nearest to v? (a) -4/3 (b) p (c) -2
b
Let u = 35/96 + -1/32. What is the nearest to -0.3 in u, -4, -6?
u
Let p = 8 + -20. Let m = 17 + p. Let g = -8 + m. What is the closest to -0.1 in g, -5, -0.5?
-0.5
Let k = 0.63 + -0.03. Let c = k - 2.6. Let h = 0 - -1. What is the nearest to h in c, 3, -5/2?
3
Let r be (2/(-6))/((-30)/(-18)). What is the closest to 1/4 in -5, -1, r?
r
Let h = 11 - 12. Let x = -3 - 0. What is the nearest to -1 in h, x, -4?
h
Let z = 6 - 6.5. Let a = 1.05 + -1. Let w = 1.95 + a. What is the closest to w in z, -5, -0.3?
-0.3
Let a = 1/4 + -11/12. What is the nearest to 1 in -4, a, -3?
a
Let g = 0 - 2. Let l = -28 + 53/2. Suppose 0 = -6*t + 7*t. Which is the closest to t? (a) 2/5 (b) g (c) l
a
Let r be 184/(-1150)*10/(-4). Let q = 2.1 + -2. What is the nearest to q in -0.4, r, -0.1?
-0.1
Let u = -118/3 - -39. Which is the closest to -2/3? (a) -4 (b) 1 (c) u
c
Let f = 0 + 0.1. Let v = -25 - -28.8. Let y = v + 0.2. What is the closest to f in y, -5, 3?
3
Let r be (10 - (1 - 1))/2. Suppose -2*w + 3 = -r. Let o = -5.08 - -0.08. What is the closest to 2/3 in 2, o, w?
2
Let y = 0 + -0.2. Let v(x) = -3*x + 12. Let n be v(4). What is the nearest to y in 0.3, -0.2, n?
-0.2
Let c(u) = u**2 - 6*u + 1 - 2 + 13*u - 7. Let h be c(-8). What is the nearest to 2 in 5, h, -1/4?
h
Let a = -10 + 15. Suppose 5*k - 7 + 17 = 0. Let s be (2/(-8))/((-1)/k). What is the closest to s in -0.2, a, 0?
-0.2
Let l = 64/69 + -6/23. Which is the closest to 2? (a) l (b) 0.1 (c) 5
a
Suppose 0 = -d + 4, 4*s - 3*d = -0*d - 48. Let w be (42/(-112))/(s/2). What is the closest to -2 in 1/5, 4, w?
w
Let q be (11/(-1002))/(3/64). Let g = -2/167 - q. Suppose 5*y + 8 = 7*y - 4*v, 6 = -3*v. What is the closest to y in -0.2, g, 1?
-0.2
Suppose -4*t = -7*t + 12. What is the closest to -0.02 in 2/9, 1, t?
2/9
Let y = -1.2 + 0.2. Suppose 0 = -0*m + 4*m - 2*d + 314, -m - 92 = 4*d. Let n = m - -1038/13. Which is the closest to -2/5? (a) 1/4 (b) n (c) y
b
Let k = 3.1 - 3. Let t = -51 - -51. Which is the closest to k? (a) 0.3 (b) t (c) 0.5
b
Let s(l) = -l**2 + 2. Let r be s(1). Which is the closest to 0? (a) -0.1 (b) 2 (c) r
a
Suppose 0 = 3*q - o - 1, 2*q + 21 = 5*q + 3*o. Let x be -1 - 1*(-1 - 0). Let z = 0.2 + -3.2. What is the closest to q in 1, z, x?
1
Let n = 0 - -0.5. Let m be 99/36 + 6/(-2). What is the nearest to -1 in n, m, -0.4?
-0.4
Let y be 1/1 - (-2 - 1). What is the closest to -24/11 in -2/5, -5, y?
-2/5
Let v = -1.15 - -0.15. Which is the nearest to v? (a) -2/9 (b) -0.2 (c) 2
a
Let l(y) = y**2 + 2*y + 2. Let x be l(-2). Let u = -117323/4284 - -646/63. Let a = -69/4 - u. What is the nearest to x in 1, -0.5, a?
1
Let p be 1/((-7)/4*-2). Let d = 0.8 - 8.8. Let i = d - -8.4. What is the closest to p in i, -1, -4?
i
Let x = -60 + 63.3. Let k = x - 0.3. Let i be 5/(-7)*15/25. Which is the closest to 2/7? (a) i (b) -5 (c) k
a
Let o = -0.316 + -15.784. Let x = -16 - o. What is the nearest to -0.1 in x, -1, 0?
0
Let v = -0.5 + -2.5. Which is the closest to -0.1? (a) 3 (b) v (c) 3/7
c
Let s = 38 - 21. Suppose w = -5*j + 33, s = -2*j - 4*w + 41. Suppose -2*m = -2*y - m - j, 2*y + 5*m - 6 = 0. What is the closest to 0.1 in 0.5, -4, y?
0.5
Let j = 45/4 - 11. Let o(p) = p - 8. Let c be o(12). Suppose -c = -v - 5. What is the nearest to v in 3, j, 0?
0
Let r = 41 - 25. Let f = 16.3 - r. Which is the closest to -0.1? (a) -1/7 (b) 0.1 (c) f
a
Let l = 18 - 19. What is the nearest to l in -0.4, 2/11, -1/5?
-0.4
Let o = 11 + -9. What is the closest to 0.1 in -4, -3, o?
o
Suppose -2*s + 3*q + 18 = s, q = -2*s + 18. Let d be 4/(-14) - s/(-14). Which is the closest to d? (a) 0.5 (b) -5 (c) 1
a
Let k = -118 - -475/4. Let w be (-1)/((-7)/2 + 4). Which is the closest to w? (a) -1 (b) 0.3 (c) k
a
Let z be 6/(-16)*4/6. Let d = -0.1 - -1.1. Let n = -4 - -4. What is the closest to -0.2 in z, n, d?
z
Let y = -5 - -7. Which is the nearest to -0.1? (a) -0.5 (b) -0.1 (c) y
b
Let t = 0.32 + -0.02. Let h = 0.4 - t. Let w = -166 + 1828/11. Which is the closest to h? (a) -1/2 (b) -1 (c) w
c
Suppose 4*n - 1 = 15. Let t be 1/n - 10/8. Let x = 21 + -20. Which is the closest to x? (a) t (b) 0.1 (c) -0.5
b
Let w = -1/38 + 79/114. Let j be 392/(-830) - 8/(-20). Let t = j - 100/913. Which is the nearest to w? (a) 2/15 (b) t (c) -2/5
a
Suppose 4*n + 0*r + r = 15, r + 12 = 5*n. Let c = -0.4 + 0.2. Let y = 0.3 + c. What is the nearest to -1 in y, 3/2, n?
y
Let n = 14 + -21. Which is the nearest to -1/2? (a) n (b) 3 (c) 2
c
Let z = 301 + -3309/11. Let m = -0.3 + 0.1. Let l = -0.3 - m. What is the closest to 1 in l, 4, z?
z
Let s = 1 + -1.5. Let x = -0.12 - -0.82. Let r = x - -1.3. Which is the nearest to 1? (a) r (b) s (c) 0.4
c
Let z be (24/9 - 3) + (-89)/21. What is the closest to 0 in z, 1, 2/15?
2/15
Let p = -3.07 + -0.93. Which is the nearest to 1? (a) -1 (b) p (c) -3
a
Let q = 22.7 - 23. What is the nearest to -0.1 in q, -1, -5?
q
Let t = -51 + 155/3. Which is the closest to 0? (a) 1/2 (b) -3 (c) t
a
Let v = -1/185 + 377/1295. Let x = -1/4 + 7/12. What is the closest to x in -2/11, v, -1?
v
Let t be (3/7)/((-18)/12). Let u = -59/3 - -20. What is the closest to u in t, -2, -5?
t
Let h = -277/5 + 55. Which is the nearest to -1? (a) 5 (b) -4 (c) h
c
Let l = 14 - 19. Which is the closest to -1? (a) -2/7 (b) 2/11 (c) l
a
Let o = 0 - 0.2. Let m = -12.4 - 0.1. Let n = m - -12. Which is the closest to 0.3? (a) o (b) -2 (c) n
a
Let l be 0 - 2 - 2*-1. Suppose m = -l*m + 2. Suppose -3*s - 3 = -3*w, -5*w + 0*w = 3*s - 13. Which is the nearest to s? (a) 4 (b) m (c) -5
b
Let o = -0.59 - -0.5. Let s = 0.19 + o. Which is the closest to -2? (a) 2/11 (b) s (c) -3
c
Let b = -93/130 + 3/26. Let a = -3 - -5. Let d be (3/(-7))/(3/a). What is the nearest to -1/3 in b, -5, d?
d
Let a = 0.5 + -17.5. Let f = a - -14. What is the closest to 0.1 in f, -5, -4?
f
Let i(k) = 21*k**3 + 2*k**2 + 2*k + 2. Let h be i(-2). Let z = h + 813/5. Let l = 0.9 + - | {
"pile_set_name": "DM Mathematics"
} |
icrometers are there in 5/4 of a centimeter?
12500
How many millilitres are there in fifty-four fifths of a litre?
10800
What is 36694.06um in millimeters?
36.69406
How many litres are there in 0.6025951ml?
0.0006025951
Convert 8.136678kg to micrograms.
8136678000
What is 51577.57nm in millimeters?
0.05157757
What is 1/20 of a litre in millilitres?
50
Convert 5.593214nm to meters.
0.000000005593214
Convert 0.2052612 microseconds to nanoseconds.
205.2612
What is 837622.7 litres in millilitres?
837622700
What is seven halves of a kilogram in grams?
3500
What is five quarters of a gram in milligrams?
1250
What is 3/50 of a meter in millimeters?
60
What is fifteen quarters of a microgram in nanograms?
3750
What is 3/5 of a milligram in micrograms?
600
Convert 81.92936 millilitres to litres.
0.08192936
How many decades are there in 3/25 of a millennium?
12
How many millilitres are there in 85.7498l?
85749.8
What is 1/10 of a micrometer in nanometers?
100
How many millilitres are there in thirteen quarters of a litre?
3250
How many years are there in twenty-one fifths of a century?
420
Convert 1.596933l to millilitres.
1596.933
How many micrometers are there in 401.5068nm?
0.4015068
What is 21/4 of a litre in millilitres?
5250
How many seconds are there in two fifteenths of a minute?
8
How many litres are there in 57.01442 millilitres?
0.05701442
How many micrometers are there in 21/4 of a millimeter?
5250
How many kilograms are there in 18/5 of a tonne?
3600
How many seconds are there in 654.396 days?
56539814.4
Convert 21.7354 days to hours.
521.6496
What is four thirds of a millennium in months?
16000
How many millilitres are there in 8/25 of a litre?
320
What is 42/5 of a day in minutes?
12096
Convert 0.8083603 kilometers to centimeters.
80836.03
How many decades are there in 97295.76 millennia?
9729576
What is 3/5 of a litre in millilitres?
600
How many litres are there in 108.3644 millilitres?
0.1083644
Convert 8.212656 days to minutes.
11826.22464
How many grams are there in 26/5 of a kilogram?
5200
What is 752252.6 years in decades?
75225.26
How many kilograms are there in 65316.18 grams?
65.31618
How many millennia are there in 36493.18 years?
36.49318
Convert 36.79553 decades to years.
367.9553
What is 1/10 of a tonne in grams?
100000
Convert 0.0530749 kilograms to nanograms.
53074900000
Convert 6.872502 microseconds to nanoseconds.
6872.502
What is 7/2 of a millimeter in micrometers?
3500
Convert 1.726983 micrometers to centimeters.
0.0001726983
What is fifty-one halves of a microgram in nanograms?
25500
What is 5950.4 years in centuries?
59.504
Convert 0.0814605mm to centimeters.
0.00814605
What is 5/4 of a kilometer in meters?
1250
What is 8245.708l in millilitres?
8245708
What is 11/2 of a microgram in nanograms?
5500
What is 3.275963 years in millennia?
0.003275963
How many micrometers are there in 3/32 of a meter?
93750
What is seven sixths of a century in months?
1400
Convert 202.8578ml to litres.
0.2028578
How many minutes are there in 13.285026 seconds?
0.2214171
What is 3/50 of a kilometer in millimeters?
60000
What is 45/2 of a week in hours?
3780
What is 3/40 of a litre in millilitres?
75
What is 65794.3965 milliseconds in weeks?
0.00010878703125
Convert 627.2466ng to tonnes.
0.0000000000006272466
What is 0.2887735 milligrams in micrograms?
288.7735
How many micrometers are there in 5/8 of a centimeter?
6250
What is 1/9 of a hour in seconds?
400
What is 43/4 of a decade in months?
1290
How many microseconds are there in 2471.007s?
2471007000
What is 69/2 of a year in months?
414
How many millilitres are there in 6/5 of a litre?
1200
What is 29/5 of a litre in millilitres?
5800
What is 19292.84ml in litres?
19.29284
How many grams are there in 3.59165 milligrams?
0.00359165
Convert 531.5863 minutes to milliseconds.
31895178
What is 255697.2 meters in centimeters?
25569720
Convert 6287.752l to millilitres.
6287752
How many days are there in 70392.294 minutes?
48.8835375
How many nanometers are there in three tenths of a micrometer?
300
How many months are there in 17/4 of a millennium?
51000
What is 3725.2229 days in weeks?
532.1747
What is nine tenths of a millennium in months?
10800
Convert 9493.308 centimeters to kilometers.
0.09493308
Convert 50474.9 hours to milliseconds.
181709640000
What is 0.1489576nm in meters?
0.0000000001489576
What is 1/5 of a litre in millilitres?
200
What is 44.408403 microseconds in hours?
0.0000000123356675
Convert 6.021469ng to micrograms.
0.006021469
How many microseconds are there in 8.145181ns?
0.008145181
Convert 818.9563 millennia to decades.
81895.63
What is 31/2 of a centimeter in millimeters?
155
How many kilograms are there in 11/4 of a tonne?
2750
How many millilitres are there in 3/10 of a litre?
300
What is thirteen fifths of a microsecond in nanoseconds?
2600
How many months are there in fourty-three thirds of a year?
172
How many seconds are there in 4/15 of a day?
23040
Convert 0.75812ng to milligrams.
0.00000075812
How many kilograms are there in 25.0483mg?
0.0000250483
How many meters are there in 9447.849 kilometers?
9447849
What is 69286.11 decades in centuries?
6928.611
How many meters are there in 8092.534 millimeters?
8.092534
How many millilitres are there in 5/4 of a litre?
1250
How many meters are there in 5/4 of a kilometer?
1250
How many minutes are there in 250123.14s?
4168.719
What is 277.347 centuries in decades?
2773.47
What is 900.3175 millennia in months?
10803810
What is 13/4 of a day in hours?
78
How many months are there in 0.1592932 centuries?
191.15184
How many kilograms are there in 46334.92 grams?
46.33492
How many nanograms are there in 72/5 of a microgram?
14400
What is 7025.66kg in milligrams?
7025660000
What is 792.9325 millennia in years?
792932.5
Convert 23743.125 hours to weeks.
141.328125
What is 1/10 of a microsecond in nanoseconds?
100
How many micrometers are there in three fifths of a centimeter?
6000
What is 1/10 of a litre in millilitres?
100
How many months are there in 8/15 of a decade?
64
What is two fifteenths of a week in seconds?
80640
What is 342746.8nm in centimeters?
0.03427468
What is twenty-one fifths of a litre in millilitres?
4200
What is fourty-five halves of a meter in millimeters?
22500
How many kilometers are there in 0.2490859 centimeters?
0.000002490859
How many decades are there in seven quarters of a millennium?
175
Convert 3676.997 tonnes to milligrams.
3676997000000
How many years are there in 974.9808 centuries?
97498.08
How many millilitres are there in 12/25 of a litre?
480
How many millilitres are there in 27/5 of a litre?
5400
Convert 5509.24 millilitres to litres.
5.50924
What is 4.32066 minutes in hours?
0.072011
What is 0.0507339ml in litres?
0.0000507339
How many millilitres are there in 7/2 of a litre?
3500
What is fifty-five halves of a kilogram in grams?
27500
How many micrometers are there in 1/5 of a centimeter?
2000
What is five quarters of a century in years?
125
What is 3/5 of a litre in millilitres?
600
Convert 227.024 centuries to months.
272428.8
Convert 277194.54s to minutes.
4619.909
Convert 9279.757 hours to nanoseconds.
33407125200000000
Convert 12.367263 months to years.
1.03060525
How many microseconds are there in 2.297556 seconds?
2297556
What is 5/4 of a meter in millimeters?
1250
What is 2056.625 millilitres in litres?
2.056625
How many millimeters are there in 1/20 of a kilometer?
50000
How many kilograms are there in eleven tenths of a tonne?
1100
What is 31/2 of a kilometer in meters?
15500
What is 71.68725 months in decades?
0.59739375
Convert 16.121889 hours to weeks.
0.095963625
Convert 9.050744kg to micrograms.
9050744000
What is 1559.441 centimeters in micrometers?
15594410
What is 1/10 of a meter in centimeters?
10
What is seventy-one fifths of a kilogram in grams?
14200
How many grams are there in 13/4 of a kilogram?
3250
What is 0.4398789 decades in months?
52.785468
How many nanograms are there in 3/32 of a milligram?
93750
How many millennia are there in 11244.05 years?
11.24405
What is 93501.9 kilometers in millimeters?
93501900000
How many grams are there in fourty-two fifths of a kilogram?
8400
What is 57/5 of a kilometer in meters?
11400
What is 71/5 of a century in yea | {
"pile_set_name": "DM Mathematics"
} |
of 64 and -4.14?
-264.96
Product of 21 and -46095.
-967995
Multiply -0.0290577 and 0.06.
-0.001743462
125456 * -1.5
-188184
-7.55 * 0.2085
-1.574175
0.285*-745
-212.325
2 * -136984
-273968
38*-9006
-342228
What is -46581 times -0.3?
13974.3
2091 * 0.374
782.034
What is 1860 times -9?
-16740
Calculate -5078*-10.9.
55350.2
1565*3199
5006435
Work out 20.8 * 4.288.
89.1904
What is 7.49 times 1.7?
12.733
Calculate 0*-67727.
0
Calculate 4*-0.28033.
-1.12132
What is the product of 0.8 and 89679?
71743.2
Multiply -0.08101 and 2.
-0.16202
Work out 403 * 196.
78988
Multiply -0.52 and -44882.
23338.64
Work out -0.18 * -0.07134.
0.0128412
What is the product of 0.02 and 119.686?
2.39372
Work out -13167 * 6.
-79002
What is the product of 0.12 and 327501?
39300.12
What is 0.7808 times -14.7?
-11.47776
What is the product of -0.0458 and -3648?
167.0784
Multiply 0.094 and 1.
0.094
0.0358371 * -4
-0.1433484
What is the product of 0.5099 and -5.8?
-2.95742
Multiply -0.101374 and -0.3.
0.0304122
15295 times 0.4
6118
0*2.23064
0
Work out 2.16 * 311.
671.76
Work out -163442 * -0.17.
27785.14
0.393*-0.04682
-0.01840026
Multiply 5.906824 and -0.3.
-1.7720472
What is -37.42 times 0.09?
-3.3678
Product of 2 and 1.09402.
2.18804
Multiply -52 and 37.35.
-1942.2
Multiply -0.32 and 40040.
-12812.8
Multiply -4.43 and -13.3.
58.919
3 times -15352
-46056
Calculate 1*0.006621.
0.006621
-240*-0.063
15.12
-13529 times 13
-175877
Work out 0.5 * 14688.61.
7344.305
Multiply 0.052794 and -3.
-0.158382
2*-9.7221
-19.4442
-1757*-2308
4055156
Multiply -1 and 442218.
-442218
42 * 0.09
3.78
Work out 143 * 292.5.
41827.5
Calculate -19831.8*0.4.
-7932.72
Multiply 25.68965 and 0.1.
2.568965
Product of -3 and -1566.
4698
-0.5 times -76117
38058.5
What is -1.88 times -40?
75.2
What is the product of 143420 and -0.2?
-28684
What is 72765 times -2?
-145530
What is -0.04 times 44.9?
-1.796
42.87376*0.2
8.574752
What is the product of -6184 and -2.65?
16387.6
What is -0.3 times 66404?
-19921.2
Calculate 9.4*-10.
-94
Calculate 11.5*-0.49.
-5.635
Work out 0.7 * 1251.9.
876.33
What is 47 times 0.047556?
2.235132
4.1*0.41
1.681
What is the product of 657693 and -0.5?
-328846.5
Product of 0.3 and -0.037634.
-0.0112902
Work out -59.8265 * 0.1.
-5.98265
Multiply 0.14 and 0.5351.
0.074914
Product of 186 and -0.1587.
-29.5182
What is the product of 1303742 and 0.4?
521496.8
77.94*0.5
38.97
What is the product of 0.64214 and -0.3?
-0.192642
-3080*-201
619080
0.02 * 10885
217.7
-1.634 times -13
21.242
Multiply 9.926 and 1.
9.926
-6204 times 1.9
-11787.6
Product of -3.034 and -32.
97.088
-0.1 * 3898
-389.8
Calculate 62.646*-0.06.
-3.75876
Work out -28.48 * 5.7.
-162.336
Multiply 0.452 and 0.048.
0.021696
0.3 * -3709
-1112.7
Calculate -14*52822.
-739508
Product of 41083 and 0.2.
8216.6
-0.12 * 5342
-641.04
Work out -191.1 * -10.
1911
0.56 * -6
-3.36
Calculate 1.38*195.
269.1
Work out 1063733 * -3.
-3191199
Multiply -25 and 0.2915.
-7.2875
Multiply 10 and -51130.
-511300
Product of 0.04 and -5629.
-225.16
-2519 * 105
-264495
Calculate 0.3*55872.
16761.6
Work out -25.697 * 0.4.
-10.2788
Multiply 0.1 and -0.027133.
-0.0027133
0.6*0.22376
0.134256
What is -5 times -0.09451?
0.47255
19.8 times 0.0325
0.6435
-176094 times -0.2
35218.8
What is -4.83 times 47?
-227.01
-761.1*0.5
-380.55
What is 0.041 times -0.0569?
-0.0023329
-0.3181 times 12
-3.8172
Work out 1 * -1338.6.
-1338.6
What is the product of 0.04 and -0.051942?
-0.00207768
Calculate -0.195587*-3.
0.586761
751*0.16
120.16
Product of 841 and -2.4.
-2018.4
0 * -14723
0
Work out -170408 * -15.
2556120
-16 times -133.92
2142.72
-6295 times 4
-25180
35.5*13.2
468.6
-4.92912*0.3
-1.478736
2 times -5985
-11970
147 times 3597
528759
Calculate 413*0.0413.
17.0569
Calculate -0.1*-197061.
19706.1
1.02814*1
1.02814
What is 3.09 times -69?
-213.21
-39.6 * -5462
216295.2
Work out 0.2 * 107.4.
21.48
Work out 3.963 * 0.
0
Product of 9 and 0.495043.
4.455387
What is the product of 3812 and 85?
324020
Work out -0.005039 * -0.1.
0.0005039
Multiply 3 and -1537.8.
-4613.4
-309.279*0.4
-123.7116
86*32613
2804718
-0.4*93330
-37332
22291 times -0.2
-4458.2
-236 * -1051
248036
Multiply 2119 and -0.25.
-529.75
Work out -4.423 * 0.195.
-0.862485
What is 5 times -31.04?
-155.2
What is the product of 3.3 and -28859?
-95234.7
Calculate -0.0857197*-2.
0.1714394
Multiply 3 and 10.15198.
30.45594
What is the product of 0.5 and 8.32992?
4.16496
Work out 11757 * 15.
176355
What is the product of -829.9 and 0.6?
-497.94
1*-4.855
-4.855
Calculate 821746*-0.2.
-164349.2
1189 * -91
-108199
73.7 * -265
-19530.5
Calculate -4*-0.124663.
0.498652
4.71 * 357
1681.47
Product of -10680 and -2.
21360
Multiply 7931 and 62.
491722
Work out 33939 * -22.
-746658
-418 times -611
255398
What is -3566 times -0.21?
748.86
What is the product of 4 and 0.876?
3.504
-6*1.19811
-7.18866
0.4*-13621
-5448.4
What is the product of -6 and 55676?
-334056
-0.08 * 106090
-8487.2
-160955*5
-804775
-4003*0
0
What is the product of -9.8943 and 2?
-19.7886
Product of -610752 and 0.
0
12.6*2149
27077.4
Product of -30410 and 0.13.
-3953.3
What is -251093 times -2?
502186
Calculate -1320.85*1.
-1320.85
Multiply -0.4 and -0.1124.
0.04496
What is the product of -116 and 818?
-94888
Product of 8606 and -29.
-249574
Calculate -2003*0.42.
-841.26
-2 * 23343
-46686
What is -0.3 times 1930?
-579
0.0228*1.418
0.0323304
Product of 0.3 and 173.9.
52.17
Calculate 0.4*131.9.
52.76
-1590084*3
-4770252
-3762*-0.1
376.2
3708*-45
-166860
What is the product of -0.3 and -181.7?
54.51
Work out 22 * 0.01322.
0.29084
1128.6*-39
-44015.4
What is 17 times 1430?
24310
-47.8 times 82
-3919.6
Product of 13 and 468.6.
6091.8
2*-952
-1904
-0.1*1.9485
-0.19485
Multiply 0.62916 and -33.
-20.76228
What is the product of -0.5 and -11135?
5567.5
-0.4 times -65172.9
26069.16
Calculate 17*655.
11135
-10 times -2255
22550
What is 0.068394 times 26?
1.778244
What is the product of -36.6663 and -0.4?
14.66652
What is the product of 401498 and -0.06?
-24089.88
Multiply -0.08941 and 0.7.
-0.062587
Multiply -751 and 15.09.
-11332.59
Multiply 69 and 626.
43194
Multiply 0 and -222794.
0
Product of 3790 and -3.94.
-14932.6
Multiply 885 and 1546.
1368210
What is 3842 times 2?
7684
3417*-2
-6834
Work out 1 * -259341.
-259341
Product of 192 and 125.
24000
10 * -9195
-91950
Multiply 1762 and 0.13.
229.06
-1 times -1443279
1443279
Multiply -0.7 and -0.0226824.
0.01587768
0.4*-5666
-2266.4
What is the product of 0.21 and 48063?
10093.23
0.1 times -0.109969
-0.0109969
What is the product of 0.1920034 and -5?
-0.960017
Calculate 190.1*407.
77370.7
-0.2*-389717
77943.4
What is 9.7213 times 0.5?
4.86065
Work out 1 * -4774.5.
-4774.5
84 times 0
0
What is the product of -5711042 and 0.1?
-571104.2
Calculate -0.092*4.28.
-0.39376
271 * -475
-128725
Calculate 2918*19.
55442
What is the product of -0.6 and -0.81864?
0.491184
Product of -70.6088 and 0.05.
-3.53044
Multiply 1723771 and 0.
0
What is 0.05 times 9.9829?
0.499145
Multiply -1.6629 and 21.
-34.9209
Work out -14 * 0.92259.
-12.91626
Work out 10195 * -0.06.
-611.7
-132 * -33.5
4422
9910.2*-3
-29730.6
19314 * -42
-811188
-525 times -4.4
2310
Product of -5 and -0.0373.
0.1865
Product of -0.17 and -31.05.
5.2785
Work out -948 * 6.89.
-6531.72
-402.612*2
-805.224
1.21981*-1.8
-2.195658
Product of 210 and -0.156.
-32.76
Multiply 12.37 and 483.
5974.71
0.5 * -18875
-9437.5
-0.0086*-2.7
0.02322
-4335422 times 4
-17341688
Product of -0.4 and -2435.
974
Calculate -1*18.567.
-18.567
Product of -0.6 and 0.040099.
-0.0240594
0 * 669309
0
What is -0.13 times 840?
-109.2
Multiply -270 and -256.
69120
What is 0.5 times -901468?
-450734
Calculate 238*0.0019.
0.4522
What is 3 times 66973?
200919
Product of 0.123578 and -0.2.
-0.0247156
Multiply -3786 and -0.4.
1514.4
Calculate 31336*4.
125344
-23227*-0.08
1858.16
What is 2.2283 times -5?
-11.1415
Work out -19.4 * 42.33.
-821.202
Multiply 304.5 and -6.94.
-2113.23
-0.4*-5003
2001.2
Work out 35 * 3.054.
106.89
Multiply 0.02636 and 7.
0.18452
0 times -582
0
Multiply -0.402 and -183.
73.566
What is 111.8 times -2.54?
-283.972
What is -125710 times 0.5?
-62855
What is the product of 157525 and 1?
157525
Multiply -0.5 and 401434.
-200717
68.329 times -2
-136.658
What is -0.5 times -12578?
6289
| {
"pile_set_name": "DM Mathematics"
} |
et x be t(-5). What is the greatest common factor of x and l?
4
Let w = -14 + 25. Let f = w - -5. Suppose 2 = m - f. Calculate the greatest common factor of m and 126.
18
Suppose -16 = -4*k - 4. Suppose -a = -k*a + 120. Suppose -5*l - m = -98, 8*l - 3*l - 104 = 2*m. What is the greatest common divisor of a and l?
20
Suppose 0*r = 3*r - 27. Let i be (-48)/r*-3 - 1. What is the highest common factor of 105 and i?
15
Suppose -l + 2 = 24. Let u = 43 + l. What is the highest common factor of u and 21?
21
Let x(s) = -s + 6. Let z be x(-6). Let v = z + -7. Suppose v*d - 1540 = d. Calculate the highest common divisor of 35 and d.
35
Suppose 44 = s - 5*z - 40, 0 = -z. Let l(o) = o**3 + 8*o**2 - 3*o + 7. Let y be l(-8). Suppose 5*g - y = 74. What is the greatest common divisor of g and s?
21
Let t = 276 + -188. Suppose 0 = 5*b - 4*b - t. Calculate the highest common divisor of b and 11.
11
Let p = 6 - 3. Suppose -p*c = v - 47, -3*v + 51 = 2*c + c. Let f = 65 + c. Calculate the highest common divisor of f and 10.
10
Let s be (-3 + 4)*2*15. Let z be -4 + -4 + 11 + -3. Let j be (z - -18)/(39/26). Calculate the greatest common divisor of j and s.
6
Suppose -5*j - 4*g + 3 = 0, 0*g - 5*g + 10 = 0. Let l = -4 + j. Let m be (l - (3 + -5))/(-1). What is the highest common factor of m and 24?
3
Suppose 0 = -4*m + 4*v + 396, 15*m - 20*m + 2*v + 495 = 0. What is the greatest common divisor of m and 171?
9
Let d(z) = -z**3 - 2*z**2 + 5*z + 38. Let x be d(-5). What is the greatest common factor of 209 and x?
11
Let n = 185 + 148. Let j = n - 186. What is the highest common divisor of j and 21?
21
Let v = 470 + -301. What is the greatest common factor of 65 and v?
13
Let a = -9 + 11. Suppose 11*n - 2*n = 36. What is the greatest common divisor of a and n?
2
Suppose 0 = 4*b + 5*w - 219, 6*w = 2*b + 3*w - 93. Suppose 0*u = 2*u - 34. Calculate the highest common factor of u and b.
17
Suppose 60 = 2*p - 0*p + 4*d, 2*d - 90 = -4*p. Suppose -a + 5*v - 20 - 4 = 0, 4*v - p = 0. Let i = 12 + a. Calculate the highest common factor of 117 and i.
13
Suppose 102 = 4*f - 198. Calculate the greatest common divisor of f and 250.
25
Let k be 1/(-2)*-55*4. Let l be 1140/(-1520) + -1 + (-94)/(-8). What is the greatest common factor of k and l?
10
Let b = -16 - 0. Let q = b - -27. What is the greatest common divisor of 154 and q?
11
Let d = 27 - -50. Let s = d - 2. Calculate the greatest common factor of s and 30.
15
Suppose 0 = 3*s - 5*s + 8. Suppose -3*n - 1 = -4*p, -4*n = 5*p - 8*p - 1. What is the highest common factor of n and s?
1
Let m(i) = 4*i**2 - 2*i + 7. Let f be m(-3). Suppose -g + 4*g - 4*x = 36, 5*x = 4*g - f. What is the highest common factor of g and 176?
16
Let x(s) = 11*s**2 - 9*s - 8 + 14 + 8. Let h be x(4). What is the greatest common divisor of h and 14?
14
Suppose 6*j + 2474 - 7550 = 0. Calculate the highest common factor of 36 and j.
18
Let m(b) = -70*b**3 + b**2 - b - 1. Let z be m(-1). Suppose -z - 167 = -2*k. Let o = 175 + -158. Calculate the greatest common factor of k and o.
17
Suppose 3*w - 48 = 3*a, -4*w = 2*a + 11 - 45. Let p = w - 7. Let t be 5/(1/36*p). What is the highest common factor of t and 15?
15
Let i be (-4)/2*6/(-4). Let b be (0*(-3)/6)/(-1). Suppose -2*t + 31 = 2*n + t, -5*n + i*t + 67 = b. Calculate the highest common factor of n and 14.
14
Let h(w) = 3*w - 1. Let p be h(5). Suppose -4*j - 2*n - 38 + 168 = 0, 2*j - 75 = -3*n. Let y = j + 12. Calculate the highest common divisor of y and p.
14
Let w be 3 + (1 - 4) - 0. Let t be 123 - -4 - (3 - w). Suppose -s = -t + 3. What is the highest common factor of s and 11?
11
Suppose 2*r + 2*q = -2*r - 394, -5*q = r + 76. Let u = -30 - r. Let p = u - 51. What is the highest common factor of p and 5?
5
Let c = 192 + -159. Calculate the greatest common factor of c and 33.
33
Let g = -3 + 11. Suppose g = 2*h - h. Suppose h = -4*k, u - 4*k + 1 = 12. What is the highest common divisor of 24 and u?
3
Let i(c) = -6*c - 21. Let n be i(-5). Calculate the highest common factor of 171 and n.
9
Let f be 19/5*(80 + -35). What is the highest common factor of 9 and f?
9
Let o = 200 + -188. Let d be 36/(2*(2 - 14/8)). Calculate the greatest common factor of o and d.
12
Let b be (-9)/(-6) - (-3)/(-2). Suppose 2*k + o - 24 = b, 5*o + 2 + 18 = 4*k. Let m be (-10)/8 + (-13505)/(-148). What is the highest common factor of k and m?
10
Let g be (-2046)/(-9) + (10/3)/5. Calculate the greatest common factor of g and 84.
12
Suppose -3*n = -3*j - 21, 6 = -3*j - 3. Let c = 56 + 32. Let t = c + -48. Calculate the greatest common divisor of t and n.
4
Let u(f) = 24*f + 10 - 50*f + 25*f + 8. Let b be u(10). Calculate the highest common factor of b and 64.
8
Suppose s - 2*k + 3 = -5, 4*s = -4*k + 28. Suppose 5*j = 4*y + 46, 2*j + 4*y - 8 = -s*j. Calculate the highest common divisor of j and 24.
6
Suppose 1 = -h + 4*q, -9 - 38 = -3*h + 2*q. What is the highest common factor of h and 437?
19
Suppose 0*k + 5*k = 95. Let h = 80 - 156. Let u be (h/5)/((-2)/10). Calculate the greatest common divisor of k and u.
19
Let f be 2*54/4 - -1. Suppose 24 = h + 3*h. Suppose a - h*a = -2*v - 6, -3*v + 41 = 5*a. What is the greatest common divisor of v and f?
7
Let y(q) = -q**2 + 42*q - 206. Let k be y(36). What is the greatest common divisor of 210 and k?
10
Let h = -1235 - -1235. Let f(q) = 4*q + 57. Let w(z) = -4*z - 58. Let k(u) = -2*f(u) - 3*w(u). Let j be k(h). Calculate the greatest common factor of j and 12.
12
Let l be 105/2*30/9. Calculate the highest common divisor of l and 140.
35
Let g = 545 + -509. What is the highest common divisor of 8 and g?
4
Let m = -14 - -14. Suppose -d = -h - 18, d + h - 4 - 6 = m. Let o(a) = a**3 + 6*a**2 - 5*a + 5. Let y be o(-6). Calculate the highest common factor of y and d.
7
Let a(j) be the first derivative of 3*j**2 + 2*j - 40. Let i be a(4). Calculate the greatest common divisor of 286 and i.
26
Suppose -4*b + 85 = 5*v - 253, v - 5*b - 56 = 0. Calculate the greatest common divisor of v and 108.
6
Let a(o) = -5*o - 4 + 6*o**2 + 4*o - 5*o**2. Let u be a(3). Let y = 2 + u. Calculate the highest common factor of 8 and y.
4
Suppose -3*a + 2*a = -16. Let x(h) = h**3 - 15*h**2 - 14*h + 34. Let j be x(a). What is the greatest common factor of 22 and j?
22
Let f(s) = s**2 + 7. Let y be f(0). Let u = y - 6. Let z be (18/(-9))/((-3)/((-6)/(-4))). What is the highest common divisor of u and z?
1
Suppose 0 = -8*h + 4*h + 3*i + 96, -5*i - 125 = -5*h. What is the highest common factor of 399 and h?
21
Suppose i - 1235 = -18*i. Let j be (116/(-16) - -7) + i/4. What is the greatest common divisor of j and 64?
16
Suppose -3*v = -7*v + 496. Calculate the highest common divisor of 93 and v.
31
Let w be 4/(-12)*0 - -10. Let j = -441 - -641. Suppose 0 = s + 3*s - j. What is the greatest common factor of w and s?
10
Let m(x) = 2*x + 12. Let r be m(-7). Let j(l) = 127*l - 3. Let k be j(r). Let i = -180 - k. What is the greatest common divisor of 7 and i?
7
Let p = 145 + -97. Calculate the greatest common factor of p and 60.
12
Let u(s) = -7*s**3 + 4*s**2 + 6*s - 2. Let w be u(-4). Calculate the highest common factor of 108 and w.
54
Let g(k) = 48*k**2 - 18*k + 19. Let j be g(4). What is the highest common factor of 20 and j?
5
Suppose 0*i - 4*i = -16. Let a be 3/(i/((-20)/(-3))). Suppose 230 = 7*g - a*g. Calculate the greatest common divisor of 46 and g.
23
Let k = -45 + 84. Calculate the greatest common divisor of k and 13.
13
Suppose 2*x - x = 4. Let o be 2 - x/(3 - -1). Let h(g) = 82*g - 1. Let v be h(o). What is the highest common factor of v and 9?
9
Let i(x) = -72*x. Let f be i(-3). Calculate the highest common divisor of f and 1368.
72
Let a(o) = 2*o**3 - 9*o**2 - 8*o - 9. Let w be a(7). What is the highest common factor of w and 240?
60
Suppose -5*r - 101 = -111. Suppose -3*j + 30 = 2*d + d, 2*d - r*j = 24. Calculate the greatest common factor of d and 176.
11
Let b(y) = 347*y - 49. Let c be b(2). What is the greatest common factor of 30 and c?
15
Suppose -3*u + 0*u = -9. Let c(m) = -2*m + 5. Let s be ((-2)/3)/(((-8)/6)/(-4)). Let k be c(s). Calculate the highest common divisor of k and u.
3
Suppose 6*x + 36*x - 168 = 0. Suppose -3*b + 0*b = -180. Let a = -40 + b. Calculate the greatest common factor of a and x.
4
Le | {
"pile_set_name": "DM Mathematics"
} |
uppose 84 = 255*i - 276*i. Give i*m(n) - 3*k(n).
3*n - 8
Suppose 24 = x + 3*x - d, -5*x + 3*d = -30. Let p(i) = 69*i - 9. Let z(y) = 34*y - 5. Calculate x*p(b) - 11*z(b).
40*b + 1
Let p(q) = -q - 1. Let i(u) = -67*u + 34 + 157*u + 38. Determine i(k) + 72*p(k).
18*k
Let g(a) = -473*a**3 - 11. Let i(u) = 1890*u**3 + 42. Calculate -11*g(d) - 3*i(d).
-467*d**3 - 5
Let r(y) be the second derivative of -7/6*y**3 - 28*y - y**2 + 1/12*y**4 + 0. Let n(q) = 3*q**2 - 8 + 6*q + q**2 - 5*q**2 + 10. What is -7*n(d) - 6*r(d)?
d**2 - 2
Let c(f) be the third derivative of f**4/24 - 922*f**2. Let d(g) = -33. Calculate 2*c(n) - d(n).
2*n + 33
Let w(r) = -2. Let o(z) = -100 + 65 + 25 + 10 + z. Let f(a) = -a**3 - a**2 + a + 2. Let q be f(0). Give q*o(t) - w(t).
2*t + 2
Let u(o) = -38*o**2 - 2*o + 2. Let s(x) be the first derivative of 215*x**3 + 35*x**2/2 - 35*x + 1585. Calculate 2*s(k) + 35*u(k).
-40*k**2
Let u(t) = -15*t + 21. Let l(n) = 12*n - 15. Let q(v) = -4*l(v) - 3*u(v). Let s(y) = y**2. Let g be s(2). Let x(o) = 2*o + 2. Give g*q(i) + 5*x(i).
-2*i - 2
Let t(w) = -37*w**3 - 23*w - 179. Let v(q) = 11*q**3 + 7*q + 60. Give 2*t(p) + 7*v(p).
3*p**3 + 3*p + 62
Suppose -3*h + 0*h - w - 11 = 0, -6 = 4*h - 3*w. Let q(k) = -9*k**3 + k. Let j(t) = -8*t**3 + t. What is h*j(x) + 2*q(x)?
6*x**3 - x
Let k(j) = 19*j**2 - 5*j - 5. Let u(v) = -9*v**2 + 2*v + 2. Let o = 125 + -115. Suppose -o*y = -14*y - 4*w - 40, 4*y = -2*w - 30. Determine y*u(h) - 2*k(h).
7*h**2
Let p(l) = 2*l**2 + 8*l + 11. Let v(k) = 2*k**2 + 14*k + 15. Calculate -3*p(x) + 2*v(x).
-2*x**2 + 4*x - 3
Let x(y) be the third derivative of 43*y**5/60 + y**4/24 - 18*y**2 - 7. Let v(p) = -14*p**2. What is 8*v(g) + 3*x(g)?
17*g**2 + 3*g
Let s(n) = 2. Suppose -5*r + 333 = 323. Let j = -132 - -127. Let y(i) = i + 4. Give j*s(z) + r*y(z).
2*z - 2
Let a = 2299 + -2304. Let g(s) = 5*s**2 + 2*s. Let m(t) = -5*t**2 + 0*t**2 + 204*t - 207*t. What is a*g(w) - 4*m(w)?
-5*w**2 + 2*w
Suppose -60 = -5*s - 2*y, s - 3*y = 19 - 7. Let g(p) = s*p - 4*p + 2 + 2*p - 11*p. Let a(i) = 2*i - 2. Determine -2*a(c) - 3*g(c).
-c - 2
Let l(n) = -62792*n - 1410. Let q(w) = -1610*w - 36. Calculate 6*l(m) - 235*q(m).
1598*m
Let w(t) = 285*t**3 - 2*t**2 + 63. Let g(n) = 287*n**3 - 3*n**2 + 78. Give 4*g(b) - 5*w(b).
-277*b**3 - 2*b**2 - 3
Let q(j) = -j**2 - j - 1. Let r(p) = 16*p**3 + 128*p**2 + 128*p + 128. Suppose 7 = -13*w - 32. Determine w*r(i) - 384*q(i).
-48*i**3
Let d(h) be the third derivative of -5*h**4/12 - h**3 - h**2 - 2*h + 1735. Let p(i) = i**3 + i + 1. Give -d(g) - 6*p(g).
-6*g**3 + 4*g
Let z = 81 - 79. Let h = -1 - -3. Suppose z*n - s - 9 = 0, -s + h = s. Let f(l) = -2*l. Let o(m) = -m**2 + 4*m - 1. Give n*f(c) + 2*o(c).
-2*c**2 - 2*c - 2
Let n(t) = 3210*t**2 - 1612*t**2 - 1 + 5*t - 1599*t**2 - 4*t. Let p(r) = 16*r**2 + 8*r - 9. Determine -18*n(g) + 2*p(g).
50*g**2 - 2*g
Let r(m) = 1941*m - 3930*m + 1991*m + 1 + 2. Let j(q) = 3*q + 3. Calculate 4*j(l) - 5*r(l).
2*l - 3
Let j(b) = 3*b**2 + 5*b - 5. Let z = 59 + -29. Suppose 5*o = 45 + z. Suppose -36*f = -33*f - o. Let u(m) = 4*m**2 + 8*m - 8. Give f*u(t) - 8*j(t).
-4*t**2
Let r(u) = 4*u**3 - u**2 + 6*u - 9. Let o(c) = -12*c**2 - c - 17*c**2 + 27*c**2 + 12*c - 13 + 6*c**3 - 2*c. Calculate -5*o(x) + 7*r(x).
-2*x**3 + 3*x**2 - 3*x + 2
Let b(z) = -z - 4. Let c(o) = -7*o - 264. Give -2*b(u) + c(u).
-5*u - 256
Let d = 203 + -57. Suppose 26*m + d = -10. Let f(x) = -4*x - 4. Let p(a) = a + 1. Calculate m*f(q) - 26*p(q).
-2*q - 2
Let b(g) be the first derivative of g + 2117. Let a(y) = -14*y - 2. Calculate -a(l) - 2*b(l).
14*l
Let v be 2/(-4) + (-63)/(-42). Let b(d) = -3*d + 24. Let w be b(7). Let t(k) = 3*k + k - 2*k - w*k. Let p(g) = -6*g + 2. Calculate v*p(m) - 5*t(m).
-m + 2
Let x(m) = 2*m**2 + 2. Let o(h) = -h**2 + h - 1. Suppose -2*u = 3*z + 5, 0 = -3*z - 7*u + 2*u - 17. Let v be (-1 - (-4)/(-3 - -1)) + 4. What is v*o(s) + z*x(s)?
s**2 + s + 1
Let v(t) = 1. Let h(d) = 8*d + 10. Suppose 2*c + 18 = 2*y, 0 = 4*y - 7*y - 6*c - 45. Determine y*h(i) - 6*v(i).
8*i + 4
Let c(p) = -92*p - 193. Let q(u) = 92*u + 233. Calculate 6*c(b) + 5*q(b).
-92*b + 7
Let o(k) = 28*k**3 - 6*k**2 - 57*k - 3. Let h(p) = -82*p**3 + 20*p**2 + 173*p + 10. Determine -3*h(f) - 10*o(f).
-34*f**3 + 51*f
Let g(p) = 37*p**2 + 2033*p + 271. Let m(b) = 6*b**2 + 339*b + 42. Give -2*g(z) + 13*m(z).
4*z**2 + 341*z + 4
Let r(q) = 298*q**3 + 6*q**2. Let v(m) = 199*m**3 + 3*m**2. Determine 5*r(k) - 8*v(k).
-102*k**3 + 6*k**2
Let q(v) = -4*v**2 - 494. Let f(t) = -t**2 - 1. Determine -6*f(z) + 2*q(z).
-2*z**2 - 982
Let n(c) = -14*c + 38. Let u(w) = -5*w + 13. Let a(x) = 6*n(x) - 17*u(x). Let o(f) = 2*f + 8. Let k be 24 - (-112)/(-8) - (4 + 0). What is k*o(p) - 7*a(p)?
5*p - 1
Let o(c) = 5*c + 3. Let i(z) = -9768*z - 5772. Calculate -6*i(f) - 11544*o(f).
888*f
Suppose -3 = -2*w + 1. Let p(f) = f - 11. Let r(v) = -13*v + 146. Let y(u) = 53*p(u) + 4*r(u). Let i(n) = n - 4. Calculate w*y(x) - i(x).
x + 6
Let b(m) = -3*m**3 + 6*m**2 + 16*m. Let d(a) = 5*a**2 + 8*a - 7. Let v be d(1). Let u(i) = -3*i**3 + 5*i**2 + 15*i. Give v*u(o) - 5*b(o).
-3*o**3 + 10*o
Let a(j) = 39*j**3 + 4*j**2 + 7*j + 9. Let l(m) = 157*m**3 + 18*m**2 + 34*m + 36. Determine -9*a(x) + 2*l(x).
-37*x**3 + 5*x - 9
Suppose 2*z = 4*d - 2, -4*z - 11 + 14 = -d. Let h(w) = w**2 + w - 1. Let t(n) = -4*n**2 + n - 2. Calculate d*t(a) + 2*h(a).
-2*a**2 + 3*a - 4
Let s = 322 - 320. Let g(w) = -46*w - 23*w + 72*w - s + 1 + 2*w**2. Let j(t) = 10*t**2 - 4 + 3 - 3 + 14*t. What is -14*g(p) + 3*j(p)?
2*p**2 + 2
Let q(d) = d + 1. Let k(o) be the second derivative of o**3/2 + 3*o**2/2 - 12*o. Let r = 1100 - 1111. What is r*q(p) + 4*k(p)?
p + 1
Let f(l) = l**3 + 78*l**2 + 2*l + 1. Let r(p) = 2*p**3 + 137*p**2 + 5*p + 1. Give 7*f(w) - 4*r(w).
-w**3 - 2*w**2 - 6*w + 3
Let b(i) = 2*i**3 - i**2 - 6*i + 4. Let y(h) = 2*h**3 - h**2 - 5*h + 3. Suppose 4*n = -10*j + 13*j, -j - 5 = -3*n. What is n*b(x) - 4*y(x)?
-2*x**3 + x**2 + 2*x
Let f(r) = 2*r - 1. Let n(v) = -175. Let k(j) = -29. Let s(i) = 6*k(i) - n(i). Give -2*f(u) + 2*s(u).
-4*u + 4
Let z(h) = -16*h**3 + 11*h**2 - 45*h + 22. Let a(t) = 3*t**3 - 2*t**2 + 9*t - 4. Give 11*a(u) + 2*z(u).
u**3 + 9*u
Let u be (-1)/(2 - (-7)/(-3)). Let n(y) = 0*y - y - y**u + 18 - 17. Let v(d) = 496*d + 6 - 1 - 499*d - 4*d**3. Determine 6*n(r) - v(r).
-2*r**3 - 3*r + 1
Let a(p) be the first derivative of -7*p**3/3 + 5*p**2 + 5. Let n(r) = 6*r**2 - 9*r. Suppose 81 = 51*w - 225. Give w*n(m) + 5*a(m).
m**2 - 4*m
Suppose 5*q = -3*w + 1853, q - 1226 = 31*w - 33*w. Let v(l) = -2*l + w - 611. Let p(g) = -5*g. Determine 3*p(i) - 8*v(i).
i
Suppose -8*v + 42 = -50*v. Let t(d) = -9*d**2 - 6. Let i(p) = p**2 + 1. Let a(h) = 0*h - 2*h + 4*h + 2. Let w be a(-4). What is v*t(g) + w*i(g)?
3*g**2
Let m(s) = -3*s + 989. Let y(f) = -8*f + 2970. What is -11*m(l) + 4*y(l)?
l + 1001
Let o(k) = -29*k + 1839. Let d(p) = -48*p + 3679. Give -3*d(c) + 5*o(c).
-c - 1842
Let h(z) = -407*z**2 - 4*z - 8. Let u(y) = -y**2 + y + 2. Calculate -h(d) - 3*u(d).
410*d**2 + d + 2
Let g(x) = -5*x**2 - 10*x + 5. Let p(f) = -f**2 - 2*f + 1. Let s = 4 - -7. Let i = 1227 + -1229. Give i*g(j) + s*p(j).
-j**2 - 2*j + 1
Let a(j) = -j**3 + j**2 - 5. Let o(n) = n**2 + 5*n - 2 + 14 - 8. Let w be o(-2). Let v(d) = -2. Let h be -1 + (8 - 0) - (13 - 11). Give h*v(c) + w*a(c).
2*c**3 - 2*c**2
Let u(d) = 6*d. Let f(j) = j**3 - 32*j**2 + 272*j - 3015. Let m be f(26). Let k be 12/5 - (-4)/(-10). Let r(g) = 2*g + g - k*g. Give m*r(p) - u(p).
-5*p
Let k(n) = 3*n**3 - 2*n**2 - n. Let v be 168/(-14) - -13 - (-3 - -6). Let w(z) = 13*z**3 - 9*z**2 - 3*z. Determine v*w(r) + 9*k(r).
r**3 - 3*r
Let b(a) = 3*a + 2. Let n = -2121 + 2119. Let g(d) = -d - 1. Let l(p) = p + 1. Let v(m) = -5*g(m) - 2*l(m). Calculate n*v(q) + 3*b(q).
3*q
Let g(t) = 30*t**2 - 2*t + 13. Let v(q) = 239*q**2 - 17*q + 109. Determine 17*g(n) - 2*v(n).
32*n**2 + 3
Let q(x) = 16 - 14*x + 1 + x. Let g(j) = 9*j + 16. Let y(h) = -7*h - 14. Suppose 75*a - 26 = 424. Let z(k) = a*y(k) + 5*g(k). Give 2*q(p) + 9*z(p).
p - 2
Let w(p) = 7*p - 20986. Let m(s) = -9*s + 20970. Determine 3*m(t) + 4*w(t).
t - 21034
Let y(m) = m**2 - m. Let l(p) = -162*p**3 - 9*p**2 + 6*p. Determine -l(f) - 9*y(f).
162*f**3 + 3*f
Let j(x) = 92*x - 745. Let c(h) = -29*h + 248. Gi | {
"pile_set_name": "DM Mathematics"
} |
ate the smallest common multiple of m and -11 + -50*6/(-8) - (-6)/4.
280
Let y = -9961369/192 - -51882. Calculate the common denominator of 89/8 and y.
192
Let x = -9373/2 + 4684. What is the common denominator of 23/91 and x?
182
Suppose -139*i = -227*i + 117*i - 3828. What is the least common multiple of 120 and i?
1320
Suppose -5*t - 3*j + 118 = -t, -3*t = -j - 82. Let i = 77041/14 + -5495. What is the common denominator of i and ((-8)/t)/(36/(-497))?
126
Suppose -3*c - 2*c = 5*y + 50, 14 = -3*c + y. What is the least common multiple of 46/c*(-96)/32 and 1?
23
Let r(w) = w + 4. Suppose -28 = 22*i - 18*i. Let f be r(i). What is the least common multiple of (2 + f + -9)*10/(-25) and 2?
4
Let a(w) = w**3 + w + 18. What is the least common multiple of a(0) and 444/52 - (-600)/1300?
18
Suppose 15*g + 1515 = 20732 + 21673. What is the lowest common multiple of 141 and g?
8178
Let z be 4/(-10) + (-3)/((-15)/482). Let i = z - 86. Let c = 21 - 5. Calculate the least common multiple of i and c.
80
Let h = -111269839/33 - -9265225789/2706. Let f = h - 52144. Find the common denominator of -35/8 and f.
328
Calculate the lowest common multiple of (-1685440)/(-800) + (-3)/(-15) and 3311.
23177
Suppose 0 = 3*i + k - 19, 20 = 4*i + 4*k - 0*k. Let l(m) = m**2 - 4*m. Calculate the lowest common multiple of l(i) and ((-2)/(-14))/((-12)/(-714)) + (-2)/(-4).
63
Let f be (711527035/(-2546250))/(-31) - 8. Let n = 2/36375 + f. What is the common denominator of -151/6 and n?
210
Suppose -4*r = 2*x - 504, 3*r + 1302 = -3*x + 2064. What is the smallest common multiple of x and 68?
4352
Let p = 2119/4656 + 7/291. Calculate the common denominator of p and -59/18.
144
Suppose 857 = -32*n + 9753. Calculate the smallest common multiple of 1251 and n.
2502
Let b(g) be the second derivative of g**5/20 - 13*g**4/12 + 19*g**3/3 + g**2/2 - 60*g. What is the smallest common multiple of b(9) and 1?
19
Calculate the common denominator of 79/1533 and (-6)/(-18) + (-10885)/31755.
44457
Let u(h) = -h - 163 + 164 + 3*h + 3*h**2 + h**3. Let a be u(-2). What is the common denominator of (a/(2/2))/(8/(-6)) and 11/4?
4
Let w be ((-1275)/(-9) + 10)*(-12)/(-14). Let p be 6/(-2 + 316/154). Let f = p - w. Find the common denominator of f and 27/16.
16
Calculate the common denominator of 2/(-13872)*(-196 + 6/(-21)*-21) and 64/1445.
17340
Calculate the common denominator of 95/36 and (-6)/2 - 1355*(-17)/12750.
900
Suppose 0 = -4*m + m - 9. Let t be (-1 - 0)/(m/186). Calculate the lowest common multiple of 10 and ((-93)/t)/((-6)/8).
10
Let m(k) = -1 - 1 + 21*k - 4*k - 19*k. What is the least common multiple of m(-2) and 9?
18
Suppose 3*i = -4*t + 1954, 26*t = 29*t + 3*i - 1464. What is the least common multiple of t and 91?
6370
Let z = -197675/66 + 2995. Find the common denominator of (-135)/55 + 0 + 3 and z.
66
Calculate the common denominator of (((-242)/5)/2)/(-25 + 29) and -26/51.
1020
Suppose -3*o + 56 = -7*o. Find the common denominator of 71/24 and o/(-21) - (-77)/90.
360
Let f = -192477763/18 + 10681786. Let p = 11431 + f. Find the common denominator of 23/38 and p.
342
Suppose 0 = -3*z + z + 108. Suppose 98*q - 95*q + 47 = 4*i, -6*q + 2 = 4*i. What is the lowest common multiple of z and i?
216
Suppose b = 37 + 29. Calculate the common denominator of 3/b*-81 + -1 and ((-66)/208)/(-10 + (-1182)/(-120)).
286
Let v = 102 + -101. Suppose -v = 3*g - 10. Calculate the common denominator of ((-128)/(-40) - g) + 174/55 and 5/76.
836
Suppose 0 = -q + 4*o - 17, -2*q - 4 = o - 3*o. Let p be (-242)/(-7) - 78/(-182). Suppose 0 = -25*b + 160 - p. Calculate the least common multiple of b and q.
15
Let c be (2 - 0)*-7*(-4 - 18). Suppose 2*i - 4*i - 5*q = -295, -603 = -4*i + 3*q. What is the smallest common multiple of i and 20/(-24)*-3*c/35?
1650
Let w = 16 - -3. Let t(v) = -w*v + 4*v - 4 - 8*v - 5. Calculate the lowest common multiple of t(-1) and 66.
462
Suppose g = 4*c - 400, -5*g = -1 + 21. Let k(b) = b**2 + 19*b - 132. What is the smallest common multiple of k(6) and c?
198
Let m = 3/5 - 41/55. Find the common denominator of m and 7/11.
55
Let z = -92 - -826/9. Let f = 4079/95 - 201/5. Calculate the common denominator of z and f.
171
Find the common denominator of 1/2 - (-11305)/(-3740) and 44/7.
308
Calculate the common denominator of 3/(-14) + (-5568)/2436 and 263/(-231) + 6/(-21).
66
Let y = -318326161/23170136 - -1/263297. Let j = -1/88 + y. Calculate the common denominator of j and 38/73.
292
Suppose 0 = -4*h + 6*k + 20, 15*h = 17*h + 3*k - 46. What is the lowest common multiple of h and 7182?
7182
Let a be (-1)/(-5553)*(-42)/42. Let v = 294557/1377144 + a. What is the common denominator of -3/10 and v?
1240
Suppose 4*r - 5*r + 48 = 0. Suppose 2*m + 2*b - 17 = 65 - 2, 4*b = 16. What is the least common multiple of m and r?
144
Let f = 68 + -53. Suppose -a + 26 = -3*d + 7, -3*d = f. Suppose -u + 4 = -5*b - 21, -5*b = -3*u + 85. Calculate the lowest common multiple of a and u.
60
Suppose -53*i + 2943 = -10307. Calculate the lowest common multiple of 8 and i.
1000
Let t(p) = 205*p + 438. Calculate the lowest common multiple of t(-2) and 164.
1148
Let q = 174761443/396 + -441317. Calculate the common denominator of q and 10/(-16)*(-18)/(-10).
792
Suppose -1240 = 18*w - 22*w. Find the common denominator of (w/42 - 2)*119/204 and 131/48.
144
Suppose -r = 1 - 4. Suppose r*v - 13 - 2 = 0. Let n = v - -5. What is the smallest common multiple of 10 and n?
10
Let z(m) be the second derivative of 0 + 1/3*m**3 + 16*m - 4/3*m**4 + 1/10*m**5 + 11/2*m**2. What is the lowest common multiple of 15 and z(8)?
135
What is the lowest common multiple of 348 and (-4)/88*6 + 376/88?
348
Let v = 10171 + -6499294/639. What is the common denominator of 157/2130 and v?
6390
Suppose -3*s + 13 = -11. Suppose 0 = -5*j - 15, -u + 4*j = -17 + 4. What is the smallest common multiple of s and (-182)/(-5) + u + 4/(-10)?
296
Let a be -3*(0 + (-40)/12). Calculate the smallest common multiple of 20 and 8/a + 0 - (-6319)/445.
60
Let u(a) = -207*a - 63. Let l be u(-23). Let c = -122129/26 + l. What is the common denominator of c and -5/18?
234
Find the common denominator of 76/266*4228/576 and -121/20.
360
Suppose -18*n - 10592 = 14*n. Let o = -313 - n. What is the smallest common multiple of 1522 and o?
13698
What is the common denominator of -25/329 and (15 - (0 + 4))/(-101 + -1544)?
1645
Let k = -1150 + -190. Let z be k/(-25) + (-6)/(-15). Suppose -45 = -3*v + z. What is the smallest common multiple of v and 24?
264
Suppose 5*n = 2*i + 140, -5*n = -8 - 12. Let h = -58 - i. What is the lowest common multiple of 3*141/9 - (h - -2) and 8?
344
Suppose -3*n = -8*n + 2*r - 11730, -r - 5 = 0. Let g = -25796/11 - n. Calculate the common denominator of -16/5 and g.
55
Let d = 6824421 + -81845699/12. Let r = 3957 - d. What is the common denominator of 45/46 and r?
276
Let z be (-5)/(-2)*(-1 - -3). Let q = -65759/9 - -7313. What is the common denominator of 27*(1 - 0)/z and q?
45
Let c = -45 + 72. Let u(q) = q**2 + 3*q - 2. What is the lowest common multiple of u(-7) and -5 - (4 - c) - 4?
182
Let v = 2127 - 2121. What is the smallest common multiple of 750 and v?
750
Suppose -k + 4 = -12. Suppose 20*q - k*q + 8 = 0. Find the common denominator of -15/2 and 0/q + 2224/(-576).
36
Calculate the smallest common multiple of 6 and (-189)/28*((31 - 36) + (0 - -1)).
54
Let f be -9 + (-7 - -8) - 2. What is the least common multiple of (-1485)/f*(-16)/(-24) and 72?
792
Suppose 79*v + z - 6 = 78*v, -z = -4. Suppose 0 = -3*b - b + 128. What is the lowest common multiple of v and b?
32
Let g = 6 + -3. Suppose -2*j + 3*p - 27 = -21, -3*j + 67 = 5*p. Calculate the lowest common multiple of j and g.
9
Let i = -13 + 12. Let t be -12 - -26 - i/(1 - 2). Suppose 1 = k - 1, -5*n - 4*k = -t. What is the lowest common multiple of 14 and n?
14
Let w be (-2)/(-2 + (-22)/(-12)). Let o = -9/4 + w. What is the common denominator of 4*170/112 - (-2 - 0) and o?
28
Let p = -4698/5 + 61136/65. Find the common denominator of -36/145 and p.
1885
Calculate the least common multiple of ((-25)/15)/(5/(-1050)) and 490.
2450
Let r = 1104 + -960. Let v = 1 + 3. What is the smallest common multiple of r and v?
144
Let k(v) = -2*v**3 - 46*v**2 - 55*v - 146. Calculate the least | {
"pile_set_name": "DM Mathematics"
} |
-4*sqrt(187)*-2)/(sqrt(110)/(-1*sqrt(10)) - sqrt(11)) + 3*((sqrt(612) + 1 + 5)**2 - -3*(sqrt(612) - sqrt(612)*2)).
178*sqrt(17) + 1944
Simplify (sqrt(204) - sqrt(204)*3*3 - (sqrt(204) + 6*sqrt(204)*-1))/(((-1*sqrt(360))/sqrt(10))/(sqrt(30)/(sqrt(90) - sqrt(10)))).
3*sqrt(17)/2
Simplify ((sqrt(132)/sqrt(4))/sqrt(11) + sqrt(1296)/sqrt(12))**2 + (-5*(1*sqrt(75) - sqrt(75)) - (sqrt(75) - (-1*sqrt(75) + 0))).
-10*sqrt(3) + 147
Simplify -4*(0 + -1*(sqrt(1700) + (sqrt(1700) + 2)*5) - (-1 + 5 + 0 + 1 + sqrt(1700)))**2.
-334100 - 8400*sqrt(17)
Simplify -3 + (sqrt(13)*-1 + 3 + -4 - (((sqrt(117)*2 - sqrt(117))/sqrt(9))**2 + (sqrt(78)/sqrt(24))**2))*-6.
6*sqrt(13) + 201/2
Simplify 2*(4*(sqrt(891) - -1*(sqrt(891) + 3 + sqrt(891))) - (((0 + sqrt(891))**2 - sqrt(891)) + 5 + 2))*3.
-5316 + 702*sqrt(11)
Simplify (((sqrt(84) - 1*sqrt(84))*-2*-2)/(sqrt(12) - (sqrt(84)*1 - sqrt(84) - sqrt(84))/sqrt(7) - sqrt(36)/sqrt(3)*4))**2.
0
Simplify ((sqrt(360)*-3)/sqrt(9))/(sqrt(8) + (sqrt(64)/sqrt(4))/sqrt(2)) + (sqrt(4235) + 1*sqrt(4235) - sqrt(35) - sqrt(35))/sqrt(7) + 3 + sqrt(5) + -1 + 0.
2 + 39*sqrt(5)/2
Simplify ((sqrt(1176) - 1*sqrt(1176)*3 - sqrt(1176) - 2*sqrt(1176)*-2)*-1)/((4*-3*sqrt(512) - sqrt(512)) + sqrt(512) + (-2*sqrt(512)*1 - sqrt(512))).
7*sqrt(3)/120
Simplify ((sqrt(132) + sqrt(132)*2*-1)/(3*sqrt(6)/sqrt(2)))/(-2*(-3*(sqrt(4) - (sqrt(16) - sqrt(4))) - -4*-2*sqrt(4))).
-sqrt(11)/48
Simplify (-3 + -5 + (((sqrt(396) - (sqrt(396) - (3 + sqrt(396)*1))) + sqrt(396) - sqrt(396)) + 1 - (0 + 3*(sqrt(396) + 1))))**2.
168*sqrt(11) + 1633
Simplify (sqrt(18) + -3*sqrt(648) - sqrt(54)/sqrt(3)*-3)/(2*sqrt(150)*-1*-1).
-7*sqrt(3)/5
Simplify (-3*sqrt(640)*-1*-2)/(((sqrt(75)/sqrt(5) + sqrt(15))*1)/(4*(sqrt(3) + -2*sqrt(3)) + sqrt(3))).
72*sqrt(2)
Simplify -2*(sqrt(405) + 0 + 5 + -4 + -1 + 0).
-18*sqrt(5)
Simplify (-1*sqrt(2057)*1 - sqrt(2057) - (1 + sqrt(2057))*-3)**2 + (-4 + sqrt(17)*2*-4)*-5 + -1.
106*sqrt(17) + 2085
Simplify (3 + sqrt(11) + 0)**2*-2 + ((sqrt(11) + 0)*1)**2 + 3 - (5 + (5*(0 + sqrt(704) - sqrt(704)) - sqrt(704)) + (sqrt(704) - (-3 + -1 + sqrt(704))))**2.
-811 + 132*sqrt(11)
Simplify 5 + (-1*(-4*sqrt(208))**2 + 0 - 1*(sqrt(832)*2)**2*-2).
3333
Simplify (((sqrt(720) - 2*sqrt(720)*-4) + -1)*1 + 6*6*((2*sqrt(720) + 4 - sqrt(720)) + sqrt(720) + sqrt(720)))**2.
401544*sqrt(5) + 9876529
Simplify ((3*-1*sqrt(153) - sqrt(153))*-3)**2 - (((2 + sqrt(17))*6 + 1*sqrt(425))*-1)**2.
-264*sqrt(17) + 19831
Simplify sqrt(500) + (sqrt(500) + 1 - sqrt(500)) + (sqrt(80)*2)**2 + (3 + ((sqrt(20))**2 - sqrt(5)))*1 + 4 + -5 + (sqrt(125)*1 + -1)**2.
-sqrt(5) + 469
Simplify ((3 + sqrt(448)*-2 + sqrt(448) + -1 + sqrt(448) + -2)*6 - (-2 + -5 + ((sqrt(448) - 5*sqrt(448)) + sqrt(448) - sqrt(448)) + 2))**2.
320*sqrt(7) + 7193
Simplify -3*(-3 + (-4 + (-1*sqrt(833))**2 + -2 + sqrt(833) + sqrt(833) - (-6*(sqrt(833) + 0 + sqrt(833)))**2*3) + -3).
-42*sqrt(17) + 1077105
Simplify (4 + (sqrt(189)*-2*4)/sqrt(3))**2 - (sqrt(1008)*2 + -2 + sqrt(126)/sqrt(2)).
-219*sqrt(7) + 4050
Simplify (4*(-5 + -1*(sqrt(15)/sqrt(5)*-4 + sqrt(3) - (0 + sqrt(3) + 1) - (sqrt(21) - sqrt(105)/sqrt(5)*-3)/sqrt(7))))**2.
-1024*sqrt(3) + 3328
Simplify (4 + -5 + -5*((sqrt(500)*1 + 5 - sqrt(500)) + 0))**2 + 4.
680
Simplify (6*((sqrt(125) - ((sqrt(125) - (1*sqrt(125) + -3)) + sqrt(125))) + sqrt(125)) + 3 - (1 + -2*sqrt(125)*3 + -5))**2.
-1320*sqrt(5) + 18121
Simplify ((-3*2*sqrt(147) - sqrt(147)*1*4) + 2)**2 + ((-4*sqrt(147)*-2)**2 - sqrt(147)) + (2*sqrt(147))**2*1.
-287*sqrt(3) + 24700
Simplify (4*((sqrt(240) + sqrt(240)*2*5 + sqrt(240) + sqrt(240))/sqrt(10))/(sqrt(144)/sqrt(3) + (sqrt(432)*2 - sqrt(432))))**2.
169/2
Simplify ((-4*(5*sqrt(5) - sqrt(5))*-4 - sqrt(45)/(sqrt(36)/(-2*sqrt(4)))) + -3)*-2*-4.
-24 + 528*sqrt(5)
Simplify 6*(-1*(-3*sqrt(4)*3)/sqrt(2) + 0) + 0.
54*sqrt(2)
Simplify ((sqrt(132) - (sqrt(132) + sqrt(132) + (sqrt(132)*1 - sqrt(132)))*-1 - sqrt(132))/(sqrt(6)/(sqrt(288)*-2 - sqrt(288)))*-1)**2.
228096
Simplify ((((sqrt(117) + -2*sqrt(117) + sqrt(117))*6 + sqrt(117))/(sqrt(576)*2 + sqrt(576)) + (sqrt(39)/(sqrt(27) + sqrt(3)) - (sqrt(39)*3)/sqrt(3)))*4)**2.
54925/36
Simplify -3 + sqrt(60)/sqrt(48) + (sqrt(180)/sqrt(3))/sqrt(12) + ((sqrt(50) + (sqrt(100)*2)/sqrt(2))/(sqrt(810) + sqrt(810) + (-2*sqrt(810) - sqrt(810))))**2.
-22/9 + 3*sqrt(5)/2
Simplify 3*sqrt(16)/(sqrt(40)/sqrt(5)) + 5 - ((sqrt(100)/(-2*sqrt(5)))/(sqrt(30)/(-2*sqrt(3))))**2.
3 + 3*sqrt(2)
Simplify (sqrt(99) + 2)**2*-3*-3 - (5 + 0 + (4*sqrt(176) + sqrt(176))**2).
-3478 + 108*sqrt(11)
Simplify -2 + -2*(5 + (sqrt(75) + -4 + sqrt(75))**2 + (4*(4*sqrt(75) + sqrt(75)))**2)*6 + 3.
-363851 + 960*sqrt(3)
Simplify 3*(4*((sqrt(1539) + -1 - sqrt(1539)) + sqrt(1539)) + 5 + (sqrt(1539) - sqrt(1539)*1*-3 - (sqrt(1539) - (sqrt(1539) + 1 + 0))))**2*-2.
-591000 - 1728*sqrt(19)
Simplify -4*(3*(sqrt(1584) + 0 + sqrt(1584)) + -5) + ((sqrt(704) - 5*-2*sqrt(704) - (4 + sqrt(704)*1)) + -1)**2.
-1088*sqrt(11) + 70445
Simplify ((6*(sqrt(35) + (sqrt(245)*-2)/sqrt(7) + (sqrt(35) - 3*sqrt(315))))/(sqrt(49)/((sqrt(84) + sqrt(84)*1)/sqrt(12))*1))**2.
58320
Simplify (2 + 3*6*-3*sqrt(1700))**2 + -6*2*(sqrt(1700) + 1)*-2.
-1920*sqrt(17) + 4957228
Simplify (-3*4*(sqrt(100)*4 - sqrt(100)))/(sqrt(405) + (sqrt(405) - (sqrt(405) + (3*sqrt(405) - sqrt(405))))*4 - -1*sqrt(405)*3).
2*sqrt(5)
Simplify 1 + (-1 + sqrt(315)/(sqrt(5) + sqrt(5) + sqrt(180)) + 0 + sqrt(63) + -4 + (0 + sqrt(63))*6)**2.
-855*sqrt(7)/4 + 206351/64
Simplify (-6*(5 + (sqrt(1300)*2 + -4 - (3 + (sqrt(1300) + 0 - sqrt(1300))))*3))**2.
-69120*sqrt(13) + 1694016
Simplify (2*2*sqrt(637))**2 - sqrt(78)/((sqrt(12)/sqrt(2) - sqrt(6))*-4 - sqrt(6)) - (-2 + (sqrt(468) + -1)*3)*4.
-71*sqrt(13) + 10212
Simplify (1 + (0 + sqrt(20)/(sqrt(288)/sqrt(8)))*-1)*-1 + 1.
sqrt(5)/3
Simplify -4*(1*-1*(sqrt(114) + 1*sqrt(114)))/(sqrt(600) - (sqrt(600) + sqrt(600) + 2*sqrt(600)) - (sqrt(120) + sqrt(30))/sqrt(5)).
-8*sqrt(19)/33
Simplify (sqrt(190)*-1*2 + -6*((sqrt(190) + 2*sqrt(190) - sqrt(190)) + sqrt(190)) + sqrt(190))/((-2*sqrt(100)*-3 - sqrt(100))/(sqrt(40)*-5)).
38*sqrt(19)
Simplify 2 + (sqrt(324)/(-4*sqrt(6)))/(sqrt(1323)/sqrt(9)) + -1.
-3*sqrt(2)/28 + 1
Simplify ((-2*sqrt(100)*4)/(sqrt(40)/(sqrt(50)/sqrt(5))))/(6*(sqrt(405) + -2*sqrt(405))*-3).
-4*sqrt(5)/81
Simplify -3 + ((1*sqrt(1900))**2 - sqrt(1900)) + (sqrt(19) + sqrt(76)/sqrt(4))**2 + -2 + (sqrt(19) - (sqrt(152)/(sqrt(48)/sqrt(6)))**2) + 3 + 5 + -4.
-9*sqrt(19) + 1956
Simplify 4 + (sqrt(171) - (sqrt(171) - -4*(1*sqrt(171) - sqrt(171) - sqrt(171))))**2 + ((sqrt(171) + -1)*6)**2 - ((-4*-5*sqrt(171))**2 - 6*(2 + sqrt(171))).
-59456 - 198*sqrt(19)
Simplify (-2*-2*(-1 + -2 + sqrt(192)) - (sqrt(192) + -1 + 1 - (0 + sqrt(192) - sqrt(192))*3)**2)*-6.
-192*sqrt(3) + 1224
Simplify ((sqrt(99) + (sqrt(99)*-1 + sqrt(99))*5)*-2*5)/(4*sqrt(324)/(1*sqrt(9))).
-5*sqrt(11)/4
Simplify (-3*-2*sqrt(1620)*-1)/(sqrt(576)*2 - (sqrt(4) - sqrt(144)*-3)).
-54*sqrt(5)/5
Simplify 4 + (0 + sqrt(112) + -4 - sqrt(112) - (sqrt(252)/(-1*sqrt(9)))**2) + 5.
-23
Simplify ((sqrt(16) - sqrt(16)*2*-2)/(sqrt(256) + sqrt(256)*1))/(sqrt(162) + sqrt(162) + (1*sqrt(162) - sqrt(162)) + sqrt(16)/(2*sqrt(8))).
5*sqrt(2)/296
Simplify -3*-2*-1*sqrt(180) + sqrt(60)/((4*sqrt(120) + sqrt(120))/sqrt(10)) + -3.
-179*sqrt(5)/5 - 3
Simplify ((sqrt(55) - sqrt(110)/sqrt(2))*6)/sqrt(11) + -2 + 5*(2*-1*sqrt(405) - sqrt(405)).
-135*sqrt(5) - 2
Simplify 2 + 4*(5 + ((sqrt(208) + ((1 + sqrt(208))*3)**2)*6 - ((sqrt(208) - (-2 + sqrt(208) + 0)) + (sqrt(208) - (sqrt(208)*2 - sqrt(208) - sqrt(208))*-2)))).
1808*sqrt(13) + 45158
Simplify -4*-5*(-4*3*(0 + 1 + sqrt(242))*2)**2.
253440*sqrt(2) + 2799360
Simplify 2*2*-6*(-1*6*2*(sqrt(112) - (sqrt(112) + 5)))**2.
-86400
Simplify (-1 + (-4*(sqrt(128) + -2) + 1 - -3*(4*(2 + sqrt(128)))**2))*-3.
-19032 - 4512*sqrt(2)
Simplify (-5*((sqrt(1008) - (sqrt(1008) + 1)*-2) + (sqrt(1008) - (sqrt(1008)*-1 - sqrt(1008))*1))*-4*-2)**2 + -3.
460800*sqrt(7) + 58067197
Simplify (2*6*(sqrt(84) - (1*sqrt(84)*1 + sqrt(84) - sqrt(84))))/((sqrt(120)*-3 + sqrt(120))/sqrt(10) + sqrt(972)*3)*2.
0
Simplify -5*(-3 + (1 + sqrt(98))**2 + 3 + (sqrt(98) - -1*sqrt(98)*-4 - sqrt(98)) + (-2*sqrt(98) + sqrt(98))**2 + sqrt(98) + 4 + 0).
-1005 + 35*sqrt(2)
Simplify (3*((-2 + sqrt(7))*3 - (sqrt(7) + 1)*4 - (((sqrt(252) + sqrt( | {
"pile_set_name": "DM Mathematics"
} |
7 AM and 12:59 PM?
492
How many minutes are there between 10:39 AM and 3:32 PM?
293
How many minutes are there between 12:30 PM and 5:52 PM?
322
How many minutes are there between 7:16 AM and 2:25 PM?
429
What is 628 minutes before 2:16 PM?
3:48 AM
What is 252 minutes before 8:12 PM?
4:00 PM
What is 700 minutes before 7:22 AM?
7:42 PM
How many minutes are there between 7:30 PM and 3:31 AM?
481
What is 186 minutes after 12:19 PM?
3:25 PM
What is 429 minutes after 9:04 PM?
4:13 AM
What is 186 minutes before 3:39 AM?
12:33 AM
How many minutes are there between 9:20 PM and 3:34 AM?
374
How many minutes are there between 11:49 PM and 11:38 AM?
709
What is 67 minutes after 1:23 PM?
2:30 PM
What is 672 minutes after 2:46 PM?
1:58 AM
What is 309 minutes before 1:40 AM?
8:31 PM
How many minutes are there between 5:11 PM and 6:03 PM?
52
What is 217 minutes before 3:16 AM?
11:39 PM
How many minutes are there between 5:42 PM and 12:22 AM?
400
How many minutes are there between 2:53 PM and 8:10 PM?
317
What is 115 minutes after 5:08 PM?
7:03 PM
What is 493 minutes after 5:38 PM?
1:51 AM
How many minutes are there between 12:22 PM and 2:39 PM?
137
How many minutes are there between 11:04 AM and 11:40 AM?
36
What is 644 minutes after 9:34 PM?
8:18 AM
How many minutes are there between 1:37 PM and 1:39 PM?
2
How many minutes are there between 1:44 PM and 1:30 AM?
706
How many minutes are there between 1:39 PM and 11:31 PM?
592
How many minutes are there between 10:09 AM and 10:04 PM?
715
How many minutes are there between 6:11 PM and 5:59 AM?
708
How many minutes are there between 10:56 PM and 8:34 AM?
578
What is 38 minutes after 2:03 AM?
2:41 AM
What is 568 minutes after 7:13 PM?
4:41 AM
How many minutes are there between 10:19 AM and 6:11 PM?
472
What is 142 minutes after 7:18 AM?
9:40 AM
What is 111 minutes before 12:44 PM?
10:53 AM
What is 581 minutes before 8:20 PM?
10:39 AM
What is 298 minutes before 6:40 AM?
1:42 AM
How many minutes are there between 7:21 PM and 6:54 AM?
693
What is 96 minutes after 7:55 AM?
9:31 AM
How many minutes are there between 3:04 PM and 3:39 PM?
35
What is 570 minutes after 8:02 AM?
5:32 PM
How many minutes are there between 10:01 AM and 1:23 PM?
202
What is 82 minutes before 8:27 PM?
7:05 PM
How many minutes are there between 2:04 PM and 7:48 PM?
344
How many minutes are there between 4:37 AM and 3:16 PM?
639
How many minutes are there between 11:19 PM and 1:26 AM?
127
How many minutes are there between 9:41 PM and 1:10 AM?
209
What is 355 minutes before 9:03 PM?
3:08 PM
How many minutes are there between 7:44 PM and 5:51 AM?
607
How many minutes are there between 8:11 PM and 8:22 PM?
11
What is 680 minutes after 8:00 AM?
7:20 PM
How many minutes are there between 8:10 AM and 2:54 PM?
404
What is 254 minutes after 9:23 PM?
1:37 AM
How many minutes are there between 1:54 PM and 11:30 PM?
576
What is 237 minutes after 11:51 PM?
3:48 AM
How many minutes are there between 1:06 PM and 2:38 PM?
92
How many minutes are there between 7:50 AM and 1:14 PM?
324
What is 137 minutes after 11:15 PM?
1:32 AM
How many minutes are there between 4:07 PM and 5:36 PM?
89
What is 52 minutes before 5:26 AM?
4:34 AM
How many minutes are there between 2:10 AM and 1:50 PM?
700
What is 420 minutes after 7:38 PM?
2:38 AM
How many minutes are there between 7:59 AM and 3:33 PM?
454
How many minutes are there between 3:01 AM and 7:35 AM?
274
What is 135 minutes after 7:55 PM?
10:10 PM
How many minutes are there between 6:52 AM and 12:09 PM?
317
How many minutes are there between 3:30 PM and 7:42 PM?
252
How many minutes are there between 1:32 AM and 10:30 AM?
538
What is 6 minutes before 11:51 AM?
11:45 AM
How many minutes are there between 4:42 AM and 4:54 AM?
12
What is 159 minutes before 10:44 AM?
8:05 AM
How many minutes are there between 3:38 AM and 4:17 AM?
39
What is 321 minutes after 5:38 AM?
10:59 AM
How many minutes are there between 8:25 PM and 12:31 AM?
246
What is 485 minutes before 5:52 AM?
9:47 PM
How many minutes are there between 5:05 PM and 7:06 PM?
121
What is 692 minutes before 9:19 PM?
9:47 AM
What is 652 minutes after 1:25 AM?
12:17 PM
How many minutes are there between 9:24 AM and 7:19 PM?
595
What is 320 minutes before 7:35 PM?
2:15 PM
What is 251 minutes before 12:02 AM?
7:51 PM
What is 399 minutes before 10:52 AM?
4:13 AM
How many minutes are there between 12:33 AM and 9:53 AM?
560
What is 572 minutes before 9:51 AM?
12:19 AM
How many minutes are there between 11:56 PM and 7:24 AM?
448
What is 172 minutes before 12:20 AM?
9:28 PM
How many minutes are there between 6:14 AM and 7:10 AM?
56
What is 176 minutes before 3:26 PM?
12:30 PM
What is 96 minutes before 10:01 AM?
8:25 AM
What is 14 minutes after 1:27 AM?
1:41 AM
What is 496 minutes after 2:38 AM?
10:54 AM
How many minutes are there between 9:30 PM and 6:20 AM?
530
What is 344 minutes after 11:15 AM?
4:59 PM
How many minutes are there between 2:23 AM and 3:51 AM?
88
What is 501 minutes after 4:39 PM?
1:00 AM
What is 344 minutes after 5:12 PM?
10:56 PM
How many minutes are there between 2:32 PM and 3:22 PM?
50
What is 556 minutes after 7:06 AM?
4:22 PM
How many minutes are there between 2:00 AM and 6:24 AM?
264
How many minutes are there between 4:40 PM and 1:03 AM?
503
How many minutes are there between 3:30 AM and 5:31 AM?
121
What is 296 minutes before 8:09 AM?
3:13 AM
What is 160 minutes before 1:42 AM?
11:02 PM
What is 302 minutes after 4:53 AM?
9:55 AM
What is 532 minutes before 2:47 PM?
5:55 AM
What is 481 minutes after 6:11 AM?
2:12 PM
What is 145 minutes before 12:53 AM?
10:28 PM
How many minutes are there between 8:57 PM and 11:05 PM?
128
How many minutes are there between 5:31 AM and 9:46 AM?
255
How many minutes are there between 6:39 AM and 9:54 AM?
195
How many minutes are there between 6:08 PM and 8:30 PM?
142
What is 693 minutes before 1:47 PM?
2:14 AM
What is 492 minutes before 9:46 AM?
1:34 AM
What is 423 minutes after 4:28 PM?
11:31 PM
What is 235 minutes after 6:42 AM?
10:37 AM
How many minutes are there between 10:10 AM and 8:57 PM?
647
What is 252 minutes before 3:41 AM?
11:29 PM
What is 553 minutes after 4:54 AM?
2:07 PM
How many minutes are there between 6:03 PM and 6:56 PM?
53
How many minutes are there between 2:12 AM and 3:53 AM?
101
What is 252 minutes after 10:05 AM?
2:17 PM
What is 250 minutes after 8:32 AM?
12:42 PM
What is 462 minutes after 11:50 AM?
7:32 PM
How many minutes are there between 8:26 PM and 4:08 AM?
462
What is 345 minutes before 10:40 AM?
4:55 AM
What is 354 minutes before 9:23 AM?
3:29 AM
What is 305 minutes before 2:15 AM?
9:10 PM
What is 166 minutes before 4:37 AM?
1:51 AM
How many minutes are there between 1:38 PM and 5:09 PM?
211
How many minutes are there between 10:20 PM and 3:43 AM?
323
How many minutes are there between 11:46 PM and 6:31 AM?
405
How many minutes are there between 10:10 PM and 7:19 AM?
549
How many minutes are there between 1:36 PM and 5:46 PM?
250
How many minutes are there between 5:28 AM and 12:22 PM?
414
How many minutes are there between 9:05 AM and 10:07 AM?
62
What is 508 minutes after 2:37 AM?
11:05 AM
How many minutes are there between 3:58 AM and 6:13 AM?
135
How many minutes are there between 1:22 AM and 1:49 AM?
27
What is 704 minutes before 7:01 PM?
7:17 AM
How many minutes are there between 1:44 AM and 7:25 AM?
341
What is 446 minutes before 12:30 PM?
5:04 AM
What is 251 minutes after 8:12 AM?
12:23 PM
What is 702 minutes after 2:00 AM?
1:42 PM
How many minutes are there between 7:43 PM and 5:02 AM?
559
How many minutes are there between 4:03 AM and 11:50 AM?
467
What is 530 minutes after 6:48 AM?
3:38 PM
What is 424 minutes before 6:38 AM?
11:34 PM
What is 636 minutes after 8:02 PM?
6:38 AM
How many minutes are there between 5:44 PM and 9:13 PM?
209
How many minutes are there between 5:59 AM and 8:09 AM?
130
What is 597 minutes before 7:26 PM?
9:29 AM
How many minutes are there between 12:32 AM and 9:17 AM?
525
What is 623 minutes after 12:53 PM?
11:16 PM
What is 578 minutes after 2:27 PM?
12:05 AM
How many minutes are there between 12:40 PM and 9:25 PM?
525
What is 641 minutes after 2:18 AM?
12:59 PM
What is 132 minutes before 4:26 PM?
2:14 PM
How many minutes are there between 5:53 AM | {
"pile_set_name": "DM Mathematics"
} |
s of g.
2
Let r(z) = -z**2 - 5. Let p be r(0). Let o = p - -8. Suppose o*y = y + 22. List the prime factors of y.
11
Let s be (-140)/(-6)*(-24)/(-5). Suppose -4*z = 4*d - s, 4 = z - 0. Suppose -h + d = 3*n, n + 11 = 4*h - 4*n. List the prime factors of h.
3
Let s = 26 + -21. What are the prime factors of s?
5
Let o = 32 - 22. Suppose 4*f = x + 9, 3*x = x + f + o. Suppose -5*u + 18 = p - x, -3*p = u + 9. What are the prime factors of u?
2, 3
Let g = -7 + 5. Let x = 2 - g. Suppose 4*i - 27 = 5*f, -3*i + x*f = 5*f - 6. What are the prime factors of i?
3
Let f(r) = 2*r - r - 3*r + 3*r - 1. What are the prime factors of f(10)?
3
Let w be (-4)/8 + 45/6. Let d(k) = -k**2 - k. Let u(a) = -4*a**2 + 7*a - 9. Let o(r) = -3*d(r) + u(r). What are the prime factors of o(w)?
2, 3
Let r be 25/(-10)*-2*1. Let x = r + -3. Let g = 5 - x. What are the prime factors of g?
3
Suppose -4*d - 5*q + 327 = 0, 0 = -0*d - 3*d - 5*q + 239. What are the prime factors of d?
2, 11
Let n(x) = 5*x**3 + x - 1. What are the prime factors of n(1)?
5
Let w be (-1 - -1)*(-4)/(-8). List the prime factors of 18/(w - -2)*1.
3
Suppose m - 3*m + 50 = 0. What are the prime factors of m?
5
Let i = 124 + -65. List the prime factors of i.
59
Let l = -17 + 22. What are the prime factors of l?
5
Suppose 2*d = 3*d - 129. List the prime factors of d.
3, 43
Suppose -3*n = -5*n - 4. Let g be (-1)/(n - -3) - -2. Suppose 7 = 4*q - g. List the prime factors of q.
2
Let z be (-2 - 0) + 2 - -1. Suppose 0 = 3*a + z - 13. What are the prime factors of a?
2
Suppose -v + 15 = 4*c, 2*c = -v + 1 + 4. Let p(i) be the third derivative of -i**4/24 - i**3/6 - 2*i**2. What are the prime factors of p(v)?
2
List the prime factors of 24 - (1 - (1 + 3)).
3
Let s = -21 - -34. Suppose -s = -k + 13. List the prime factors of k.
2, 13
Suppose 7*g + 108 = 11*g. List the prime factors of g.
3
Let c(y) = -14*y + 34. What are the prime factors of c(-7)?
2, 3, 11
Let v = 58 - 6. What are the prime factors of ((-1)/2)/((-1)/v)?
2, 13
Let x(u) be the second derivative of -u**3/6 - u**2 + u. What are the prime factors of x(-8)?
2, 3
Suppose 0 = j - 40 - 7. What are the prime factors of j?
47
Let p = 11 - 4. What are the prime factors of p?
7
Let o(g) be the third derivative of g**6/120 - g**5/12 + 5*g**4/24 - g**3/2 + g**2. What are the prime factors of o(5)?
2, 11
Let a(p) = -p**2 - 11*p - 2. Let f be a(-7). Let h = f - -1. List the prime factors of 6/(-27) + 249/h.
3
Suppose 2*u + 2*f - 7 = -u, 0 = -2*u + 2*f + 18. Let l(q) = q**3 - 8*q**2 + 9*q + 10. Let d be l(7). Suppose -u*y + 2*y + d = 0. List the prime factors of y.
2
Let q(w) = -w - 7*w**2 - 5 + 2 - w**3 + 1. Let i be q(-7). Suppose 4*n - i*n + 11 = 0. List the prime factors of n.
11
Suppose 6*b = b. Let n be b*2/(6 + -2). What are the prime factors of 12 + (-1 + n)*0?
2, 3
Suppose -82 = -4*x - 2*g, 0 = x + x + 2*g - 40. What are the prime factors of x?
3, 7
List the prime factors of (-4)/(-3*(-1)/(-9)).
2, 3
Let l(y) = 2*y**3 - 6*y**2 + 5*y + 2. Let b be l(4). Suppose 0 = 5*o + 5*d - 76 - b, 110 = 5*o - 5*d. What are the prime factors of o?
2, 3
Let o = 13 + 2. Let r = -6 + o. What are the prime factors of r?
3
Let p be 6 + 2 + -3 + -2. Suppose m = -p*m + 60. What are the prime factors of m?
3, 5
Suppose -2*l = -5*z - 19, 2*l = l - 2*z + 14. Suppose -x + 2*s = -6*x + 83, -l = -3*s. What are the prime factors of x?
3, 5
Let w = 3 + -5. Let z = 1 + 23. List the prime factors of (w/(-6))/(2/z).
2
Let p be (48/30)/((-1)/10). Suppose v = -0*v - 10. Let g = v - p. What are the prime factors of g?
2, 3
Let v = 45 + -25. What are the prime factors of ((-72)/(-45))/(1/v)?
2
Suppose -x - 6 = 1. List the prime factors of 2/x + (-51)/(-7).
7
Suppose j - 4 = 1. Suppose 5*w = 3*g + 2*w, 4*g = -j*w + 36. Suppose 3*h - g*h + 13 = 0. List the prime factors of h.
13
Let z be 2/5 - 72/5. Let q = z + 45. What are the prime factors of q?
31
Let x be (-2 - (-4)/3)*18. List the prime factors of x*(-3)/3 - -3.
3, 5
Let k = -36 - -186. What are the prime factors of k?
2, 3, 5
Let o(g) = g**2 - 2*g + 3. Let r be o(0). Let c(p) = -p**3 - 4*p**2 - 4*p - 6. Let i be c(-4). Let n = r + i. List the prime factors of n.
13
Suppose 2*s = -3*k + 35, 9*k - 4*k = 3*s + 33. List the prime factors of k.
3
Let p(x) = -6*x - 27. List the prime factors of p(-18).
3
Let t = 18 + 130. What are the prime factors of t?
2, 37
Let s be 4/(3*(-2)/(-6)). Suppose -s - 5 = 3*b. Let h(q) = -q**2 - 5*q - 2. List the prime factors of h(b).
2
Let z = 2 - -2. Suppose z*f - 23 + 7 = 0. Suppose -f = 2*u - 26. What are the prime factors of u?
11
Let p = 21 - 22. What are the prime factors of p/((-66)/16 + 4)?
2
Let i(w) = w**3 + 6*w**2 + 2*w - 5. Let m be i(-5). Suppose -3*f - m = -2*f. Let b = 17 + f. List the prime factors of b.
7
Let d(p) = -p + 5. Let l be d(0). Suppose 2*o + t + l = 0, -o + 2*t + 5 = t. Suppose -r + 26 = 5*i - o, -4*i - r + 20 = 0. List the prime factors of i.
2, 3
Suppose 0 = -t + 2*f - 0*f + 8, 3*t - 38 = -f. Suppose 2*b - 8 = -l, 5*l = 8 + t. Suppose -3*x - 19 = -b*o + 1, 3*x = -2*o + 20. List the prime factors of o.
2, 5
Let i(l) = -l**2 + 3*l - 1. Let b be i(2). List the prime factors of -4 - -7 - -46 - b.
2, 3
Let p = 45 - 9. What are the prime factors of p?
2, 3
Suppose 20*z + 213 = 23*z. List the prime factors of z.
71
Suppose -3*q = -0*l + 3*l - 12, 12 = q + 3*l. Suppose 3*w + 3*b - 47 = b, -25 = 5*b. Suppose q*n = n - w. List the prime factors of n.
19
Let r(t) = -t**2 - 13*t - 6. Let x = -24 + 14. List the prime factors of r(x).
2, 3
Suppose -4*m = 12, -4*j - 2*m + 178 = -0*j. What are the prime factors of j?
2, 23
Suppose -5*z + 1486 = -99. List the prime factors of z.
317
Suppose 24 = 3*z + 4*d - d, 3*z - 3*d = 0. Suppose z*p + 2*w - 36 = 5*w, 4*w = 3*p - 34. What are the prime factors of p?
2, 3
Suppose -4*u + 0*x + 82 = 2*x, -3*u + 3*x + 39 = 0. Suppose 7*l = 2*l + 5*m + 20, 0 = 4*l - 5*m - u. Suppose -l*c + 10 = -c. What are the prime factors of c?
2, 5
Let k = 98 - 192. Let m = k + 139. Suppose -m = -2*w - 3*w. What are the prime factors of w?
3
Let k(t) be the second derivative of t**5/60 + t**4/12 + t**3/3 - 3*t**2/2 - t. Let u(n) be the first derivative of k(n). List the prime factors of u(-2).
2
Suppose d - 3*v - 15 = 4, -3*v = 2*d - 11. List the prime factors of d.
2, 5
Suppose 0*v - 3*l - 16 = -v, 2*l = 5*v - 15. Let c be -8*v*2/4. What are the prime factors of (c*3)/(-1) - -2?
2, 7
Let f be 1*(-1)/(3/(-15)). Suppose -f*z = -26 - 9. Suppose b = -w + 20, z = 5*w - b - 81. What are the prime factors of w?
2, 3
List the prime factors of 1 - (-8 - 7)*1*26.
17, 23
Let v(q) = -q**2 - 7*q - 3. List the prime factors of v(-3).
3
Let y = -15 - -52. What are the prime factors of y?
37
Suppose 5*a = 0, 2*g = -g + a + 297. What are the prime factors of g?
3, 11
Let v be 1*-3*(-4 + 3). Suppose -2*m + v*q + 28 = -3*m, m = -q - 20. What are the prime factors of (-4)/(-1) - 3 - m?
17
Let x be (-54 + 0)*(-4)/6. Let l be x/8 + (-1)/(-2). Suppose s = -5, -3*s + 6*s + 75 = l*z. What are the prime factors of z?
2, 3
Let i = -9 - -42. Let a = -19 + i. What are the prime factors of a?
2, 7
Let p = 21 + -6. Suppose 2*a - p = -3*a. What are the prime factors of a?
3
Let n(z) be the third derivative of -z**5/60 - z**4/24 + 17*z**3/6 + 3*z**2. What are the prime factors of n(0)?
17
Let c(p) = p**3 - 2*p**2 - p - 2. Let q be c(3). Suppose 0 = -j - 5*l - q, 2*l = -4*j - j + 26. Suppose 4*n + 6 = j*n. What are the prime factors of n?
3
Let n be (-1 - 0)/(1/(-3)). Suppose -2*o = 4*v + 30, -8*o - 36 = -3*o - n*v. Let p = 1 - o. What are the prime factors of p?
2, 5
Let z = 3 - 3. Suppose -3*y + 2*p - 8 = z, -p + 2 + 2 = 0. Suppose -3*m - m + 8 = y. List the prime factors of m.
2
Suppose 1 = -3*t + 7. Let b(l) = -l**2 - 10*l - 13. Let u be b(-8). Suppose -m = -x - t, 0 = 5*m + u*x - 11 - 7. List the prime factors of m.
3
Suppose 7*n = 10*n - 105. List the prime factors of n.
5, 7
Let o(g) = -2*g**2 + g + 28. Let c(l) = -l + 4. Let s be c(4). What are the prime factors of o(s)?
2, 7
Suppose k + 17 = -5*u, k + 3*k - 3*u - 1 = 0. List the prime factors of 4 - 0 - (k - 26).
2
Let z = 9 + -8. What are the prime factors of -3 - (-31 - (3 - z))?
2, 3, 5
Suppose 63 = 4*w - 749. What are the prime factors of w?
7, 29
Su | {
"pile_set_name": "DM Mathematics"
} |
k = -20 - -32. Suppose 2*n - k = -2*n. Solve 2*i - n = -i for i.
1
Let l = 64 - 62. Solve -l*g = 4*g + 30 for g.
-5
Let k(t) be the first derivative of 3 + 0*t - 1/3*t**3 + 0*t**2 - 3/4*t**4. Let p be k(-1). Solve p*w = -0*w - 10 for w.
-5
Let v = -99 + 110. Let i be (-17)/(-4) - ((-132)/16)/v. Solve 12 = i*k + 2 for k.
2
Suppose 64 + 6 = 2*b. Suppose -4*a + 36 = 5*f, -3*f = 5*a + 3 - b. Suppose -36 = -2*x - 4*q, -3*x + 8*x = f*q + 20. Solve -g + x = g for g.
4
Suppose -4*d + 14 = i, -4*d = -5*i + 1 - 3. Suppose -2*r = -r - i. Solve -6 = 4*g - r for g.
-1
Let l(g) be the first derivative of g**4/4 - g**3 - 5*g**2 + 4*g + 9. Let q be l(4). Let a = q + 24. Solve 0 = h - a*h for h.
0
Let d = -17 + 19. Let v = d - -8. Suppose 5*f + 22 = 3*i, 0 = 2*i - f - 0 - v. Solve 2*g + i = 6*g for g.
1
Let u be -3*1*-2 - (-119 + 123). Solve 6*c = u*c for c.
0
Suppose 17*r - 7 = 18*r. Let x be (-603)/(-21) - 2/r. Suppose -4*s + x = 3*q, -2*q + 22 = 2*s + s. Solve 0*h = -4*h - s for h.
-2
Suppose -5*p + 5*r = 75, r + 82 = -5*p - 17. Let m = 20 + p. Solve -3*w + 11 + m = 0 for w.
4
Suppose 0 = 3*x - 2*x. Let t(y) = y**3 - 2*y**2 + 5*y + 4. Let n be t(0). Solve s + x - n = 0 for s.
4
Let i(n) = 2*n**2 + 8*n. Let t be i(3). Solve -8*b = -29*b - t for b.
-2
Suppose -4*c - 3*w = 2*w - 2, 14 = 4*c - w. Let s(v) = 2*v + 2. Let a be s(c). Solve l + a = 5*l for l.
2
Suppose -2*t = 2*u - 22, 8*u - 5*u = 3*t + 15. Solve -u*n = -13*n for n.
0
Suppose -2*k = -60 + 62. Suppose 0 = 2*q - 1 - 1. Let w = q + k. Solve 0 = 3*z + 9 - w for z.
-3
Let o(c) = c**3 + 15*c**2 - 16*c - 22. Let s be o(-16). Let d be (6 - (-64)/(-11)) + (-260)/s. Solve 0*a - d = -4*a for a.
3
Let v = 84 + -81. Suppose 5*z - 10 = -f, -3 + 30 = 4*z - v*f. Solve 16 - 7 = z*n for n.
3
Let z(y) = -y**3 - 16*y**2 - 14*y + 17. Let s be z(-15). Suppose -4*r - s*f + 5*f = 0, -2*r - 5*f + 26 = 0. Solve -4*j - r + 7 = 0 for j.
1
Let a = 1134 - 1120. Solve -115 = -a*o - 9*o for o.
5
Suppose 4*n - l + 26 - 90 = 0, -2*n + 10 = 5*l. Solve 10 = n*v - 13*v for v.
5
Suppose -13*v - 6 = -14*v. Solve 0 = 5*s - v - 9 for s.
3
Let t be (-1)/3 + 19/3. Let w(m) = -m**3 + 5*m**2 + 5*m + 8. Let l be w(t). Let g be ((-2)/(-8))/((-22)/(-176)). Solve -l*o + 3*o + g = 0 for o.
-2
Let h = -598 - -598. Solve 0 = -4*p - h + 16 for p.
4
Suppose 4*l - 3*g - 236 = 0, 9*l - 4*l - 326 = -4*g. Suppose -s = -l + 57. Let w(t) = -t. Let k be w(-5). Solve s = 5*o - k for o.
2
Suppose -4*a = -0*a - 2*x + 2, 1 = x. Suppose 0 = -a*h + h. Solve h = -r - 4*r - 5 for r.
-1
Let l(t) = -t**2 + 7*t + 7. Let p be l(7). Let w = -7279 + 7281. Solve -w*d + p*d = 0 for d.
0
Let k = 0 - -5. Let i = -5 - -38. Suppose -2*t + i = k*n, -n + 18 = t + 2*n. Solve 11 = 4*y - t for y.
5
Let u(y) = -y**3 - 8*y**2 + y + 8. Let f be u(-8). Let w(s) = s**3 - s**2 - s + 2. Let m be w(0). Let z be -2 + -1 + 6 + m. Solve f = p - z + 1 for p.
4
Let j = -117 + 121. Let b be (-1)/(4/(-2))*0. Solve w + j*w = b for w.
0
Suppose -8 = 3*t - 2*k, 3*t + 5*k - 23 + 3 = 0. Suppose -4*x - 4 = -0*x, t = -3*h + 2*x + 8. Suppose 0 = h*s + s. Solve s = -0*p + 5*p + 10 for p.
-2
Let f(s) be the second derivative of 0*s**2 + 0 + 1/6*s**3 - 1/6*s**4 - 5*s + 1/20*s**5. Let q be f(3). Solve b = 5*b - q for b.
3
Let x be (424/12 - 2)/(4/6). Suppose -x = 21*v - 26*v. Solve -v*y + 12*y = -10 for y.
-5
Let r be -1*(-1)/(-2)*-6. Let s be -1 - 0 - (-2 + 2 + -2). Suppose s = 6*g - 53. Solve r*x - 3 - g = 0 for x.
4
Suppose 2*n - 5*y = -168, 0 = -5*n + 5*y - 456 + 66. Let d = -68 - n. Solve 0*j + 2*j = -d for j.
-3
Let n be (-42)/(-9)*(-54)/(-63). Let s(b) = 3*b**2 - 3*b - 3. Let j be s(-2). Solve 0 = -z - n*z - j for z.
-3
Let l(c) = c - 1. Let j be l(9). Suppose 2*d + 29 = x + 41, -d - 3 = 4*x. Solve d*k - j = k for k.
2
Suppose 5*t - 2 = -o, -4*t = o + 1 - 3. Let v be -2 + (1 + -1 - 0). Let c be 0/(2 - (o - v)). Solve c = p + p for p.
0
Let b be (9 + (-225)/27)/(2/12). Solve b - 2 = -a for a.
-2
Let o = -4 + 0. Let n be 4/o + 10 - 4. Solve n*j = -0 + 5 for j.
1
Suppose 14*n + 1558 = 4190. Solve -16 = -n*d + 184*d for d.
4
Let f = -373 - -543. Suppose -3*l = 2*l - f. Suppose 3*d - l = -5*u, -13 = -u + 3*d + 1. Solve u = -s - 3*s for s.
-2
Let v(x) = x**3 - 4*x**2 + 3. Let m be v(3). Let p = 3 - m. Let a = p - 3. Solve -a*o = -o - 5 for o.
1
Suppose -13*j + 36 = -19*j. Let o be (-33)/j - (-4 - 9/(-2)). Solve -o*y + 1 = -4*y for y.
1
Let s = 45 - 45. Let q(y) = -5*y + 7. Let t be q(s). Let i(m) = -4*m + 1. Let f be i(-6). Solve t*p - 2*p + f = 0 for p.
-5
Suppose 0 = 8*j - 22 - 18. Suppose 80 = 3*x - j*g, 2*x = 5*g + 19 + 36. Solve 9*z + x = 4*z for z.
-5
Let q(b) = b**3 + 5*b**2 + 2*b - 5. Let w = 37 - 64. Let p be ((-6)/2)/(w/(-36)). Let z be q(p). Solve 3 = -z*y - 0*y for y.
-1
Let f = 38 + -5. Suppose -2*l + 4 = 3*u, -2*l + 2*u = -f + 9. Let g = l - 3. Solve 0*c = g*c for c.
0
Let q(t) = t**3 + 3*t**2 - t - 1. Let r be q(-2). Suppose -3*u - 14 = r*c, 4*c + 0*c + 24 = 4*u. Suppose u*s - 5*s + 9 = 0. Solve 8 = -s*o + 5*o for o.
4
Suppose 19 = -3*a - 2*u, -a + 0*a - 4*u = 23. Let b = 8 + a. Solve 2*s + 12 = b*s for s.
4
Let t = -9 + 11. Suppose 7*p - t*p - 35 = 0. Solve 0 = 3*b - 1 + p for b.
-2
Let a = 31 + -22. Suppose -13*k = -a*k - 20. Suppose -3*b = 3*i + 6, 2*i - k*b - 31 = -0*i. Solve n + 16 = -i*n for n.
-4
Suppose -5*x + 2*h = -11, 4*x + 6*h - 5*h = 14. Solve d - 7*d = x*d for d.
0
Suppose 4*u - 24 = -4*m, -2*u - 2*u = 0. Suppose -4*k + 15 = k. Let b = 6 - k. Solve -b*v - m = -3 for v.
-1
Let q = 487 + -483. Solve 0 = 55*f - 59*f + q for f.
1
Suppose 4*i = -f + 24, -4*i - 1 = -13. Solve -5*a = 27 - f for a.
-3
Suppose -12*w + 5*w = -21. Solve 2*z + 9 = w for z.
-3
Suppose 0 = -21*r + 19*r + 32. Suppose -5*w = -12 + 2. Let q = 4 + w. Solve q - r = -5*n for n.
2
Suppose 1 = -2*i + 47. Let a = -20 + i. Solve s = a*s for s.
0
Suppose 3*b = -4*g + 15, 4*b - 23 = g - 3. Solve b = 5*m - 10*m for m.
-1
Suppose 2*f - 6*f + 20 = 0, 4*f + 22 = 3*p. Suppose 35*y + p = 42*y. Solve 0 = 6*a - y*a for a.
0
Let c = 65 - 64. Let a be (-250)/(-20) - c/2. Solve -8 = -5*b + a for b.
4
Suppose 39 = -5*l + 3*b, -5*l - 2 = -b + 31. Let a be (32/(-6))/(4/l). Solve 0 = 3*k + 1 + a for k.
-3
Suppose -22*z + 364 = -8*z. Solve -z*r = -22*r - 16 for r.
4
Let b(u) = u**3 - 7*u**2 + 2*u - 6. Let h be b(7). Let w be ((-3)/(-4))/(3/h - 0). Solve a = -w*a + 12 for a.
4
Let c = 981 + -955. Solve -38*f = -c*f - 36 for f.
3
Suppose 3*u - 3 = -c + 4*u, -c - 2*u + 3 = 0. Suppose -5 = -c*o + 2*o, 2*y - 15 = -o. Solve 0 = -y*j - 4 - 21 for j.
-5
Let u(o) = o**3 - 8*o**2 + o - 4. Let h be u(8). Let v(l) = -3*l**2 + 7*l + 7*l**2 + l**3 - 1 - 9*l**2 - 5. Let x be v(4). Solve 0 = -z + h*z + x for z.
-2
Let w be (4/(-2))/(1 + (-45)/27). Solve w*c = 2*c + 3*c for c.
0
Let t be (-22)/(-10) - (-2)/(-10). Let b = 17 + -15. Suppose 0 = 2*h - b - t. Solve 20 = h*v - 7*v for v.
-4
Suppose 4*n - 1536 = -60*n. Solve -n = -12*v + 12 for v.
3
Let f(s) be the first derivative of 2*s**3/3 + 3*s**2/2 - 3*s - 7. Let r be f(-3). Solve -4*y - 14 + r = 0 for y.
-2
Let l be (-56 - -57)*-4*2/(-4). Solve -f = -l*f for f.
0
Let o(l) = l**2 - 5*l + 6. Let n be o(7). Suppose -21*x = -n*x - 6. Solve 5*y - 26 = -x for y.
4
Let p(q) = q + 4. Let k(o) = o + 5. Let x(i) = -6*k(i) + 5*p(i). Let t be x(-11). Solve 0 = -b - 1 - t for b.
-2
Let m be 2/(-5) - (185/25)/(-1). Solve -7*c + m = -14*c for c.
-1
Suppose -3*h - 1 + 13 = 0. Let q = -19 + 27. Suppose 4*v + 10*n = q*n + 2, v = n + 5. Solve 8 = -h*a + v*a for a.
-4
Let l(h) = h + 17. Let v be l(-13). Suppose 0 = -v*x - 4*o + 4, x - 7*o - 25 = -2*o. Solve -4*t + x = -7 for t.
3
Let m be -35 + (-3)/(-1) + -2 + -3. Let f = 40 + m. Solve 2*h - f = 3*h for h.
-3
Let l = -5 - -7. Let n be 2 - -1*(5 + -2). Solve n*g = l*g for g.
0
Let l(w) = 2*w - 1. Let f be l(7). Let g = f - 13. Let d be 3/(-3) + g + 3. Solve 4*i - 2 = d for i.
1
Let c = -91 + 95. Solve 0 = -4*d - 16 + c for d.
-3
Let v(y) = -y**3 - 8*y**2 - 9*y - 9. Let o be 2/7*42/12. Let n be (o - 4 - -5) + -9. Let z be v(n). Solve 2 - z = -i for i.
3
Suppose 0 = 4*r + 26 - 2. Let k(m) = -12*m - 70. Let h be k(r). Solve h*x = -x + 12 for x.
4
Let w be (9/(-5))/(-3) - (-385)/25. Solve -9*b - w = -b for b.
-2
Let y(p) = p**3 - 10*p**2 + 11*p + 5. Let s be y(10). Let f | {
"pile_set_name": "DM Mathematics"
} |
5)*(-1 + 4 - 4) + 4*b**5 - 3*b**5 - 2*b**5.
-3*b**5 - 5*b**4
Expand (0*h - 3*h + 0*h)*(4*h + 0*h - h - 2 + 2*h + 2 + (-h - 4*h + 4*h)*(1 - 1 - 1)).
-18*h**2
Expand (-5*m + 3*m + 0*m)*(-39*m - 37 + 37).
78*m**2
Expand (3 - 1 + 1)*(0 + 0 + v) - 4 + 27*v - 11*v + 6.
19*v + 2
Expand (-2*h + 1 - 1)*(2*h + 1028*h**2 - 1018*h**2 + 0*h).
-20*h**3 - 4*h**2
Expand -2*i - 13*i + 2*i + (-2 + 0 + 3)*(0*i + 0*i + i).
-12*i
Expand -z**3 - 367*z - 2*z**2 + 367*z + (-2 + 2 - z)*(z**2 + 0 + 0) - 7 - 5*z**3 + 7.
-7*z**3 - 2*z**2
Expand (2 + 2 - 1)*(-4*g**3 - 9*g**3 - 3*g**3).
-48*g**3
Expand (4*t + 8 - 8)*(-t**2 - 2*t + 2 - 2)*(5 - 3 - 1).
-4*t**3 - 8*t**2
Expand 2*h**2 + 0 + 0 + 0*h**2 + h**2 - 2*h**2 + (-h**2 - 2*h**2 + h**2)*(-2 - 3 + 4) - 5*h**2 + 2*h**2 + h**2.
h**2
Expand (0 + 1 - 3)*(0*p - p + 3*p) - 11 - 3*p + 2 + 2*p.
-5*p - 9
Expand 5*u**2 - 5*u**2 - u**3 + 4*u**3 - 2*u**3 - u**3 + (2*u**2 + u**2 - 5*u**2)*(u - 2*u + 0*u) + (-16*u**2 - 2*u + 15*u**2 - 3 + 4*u)*(-2*u + 0*u + 3*u).
u**3 + 2*u**2 - 3*u
Expand (4*i**4 + 2*i**4 - 4*i**4)*(3 + 4 - 6) + (2*i**2 + i**2 - i**2)*(-1 + i**2 + 1).
4*i**4
Expand (-10 + 7 + 10 + c**2)*(0*c - 2*c + c).
-c**3 - 7*c
Expand (3*q - 6*q + q)*(-24 - 1 - 18).
86*q
Expand (-2 - 3 + 21)*(2*l**4 + 2*l - 2*l) - 2*l**4 + 6*l**4 - 2*l**4.
34*l**4
Expand (-2*x**3 - 3*x + 3*x)*(0 + x + 0)*(-1 + 1 + 5).
-10*x**4
Expand (-3*t + 2*t - t)*(29*t + 33*t - 60*t) + 3*t**2 - 2*t**2 + 2*t**2.
-t**2
Expand (3*n**5 + n**5 - 5*n**5)*(-6 + 4 + 27).
-25*n**5
Expand -2 + 2 - 3*w + (1 - 4 + 4)*(-6*w + 4*w + 0*w) - w + 0*w + 0*w + 3*w - 2*w + w + (3 + 0 - 2)*(3*w - 2*w + 0*w).
-3*w
Expand (j**3 - j**3 - 2*j**4)*(-3*j + 4*j + 4*j) + j**5 + 3*j**3 - 3*j**3 + (0*j**3 - j**3 + 0*j**3)*(4*j - 2*j**2 - 4*j) - 3*j**5 + 5*j**5 - 3*j**5.
-8*j**5
Expand 4*b + b + 0*b + (-2*b - 4 + 4)*(-1 - 2 + 1) + 4 - 4 - 2*b.
7*b
Expand -2*m**5 + m**5 + 2*m**5 + (-2 - 2 + 1)*(0*m**5 + 7*m**5 - 9*m**5).
7*m**5
Expand (4 - 5 + 6)*(2*p**4 + 15 - 15 + 9*p**3).
10*p**4 + 45*p**3
Expand (-1 + 1 - 1)*(3*n - 20 + 34 - 5).
-3*n - 9
Expand (-k + k - 3*k)*(1 - 4 - 5).
24*k
Expand (-4*z + 5*z + z)*(-5 + 1 + 2) + 0*z - 2*z + 0*z - 3*z + 4*z + 6*z + (5*z - 4*z - 2*z)*(-5 + 0 + 3).
3*z
Expand -2 - t + 2 + (2*t - 4*t + t)*(-1 - 2 + 1) + (2 + 0 + 2)*(t - 2*t + 0*t).
-3*t
Expand (3*w - 3*w - 3*w)*(4*w**4 - 4*w**4 - w**4 - 2*w**4 - w**4 + 0*w**4 + 2 - w**4 - 2 + (-2*w + 0*w + w)*(-4*w**3 + w**3 + w**3)).
9*w**5
Expand (1 - 3 + 3)*(197 + 24*h - 197).
24*h
Expand (-2*h**3 + 0 - 2 + 3*h**3)*(14*h**2 + 70*h - 70*h).
14*h**5 - 28*h**2
Expand (11*h - 4 - 7*h + h**4 + 2)*(-1 + 1 - h).
-h**5 - 4*h**2 + 2*h
Expand -2*q**2 + 2*q - 5*q**2 + 0*q + 2*q - q**2 - 2*q + (-q + 4*q - 2*q)*(3 - 3 + 2*q) + q - q + 2*q**2.
-4*q**2 + 2*q
Expand (-3*h**2 + h**2 + 0*h**2)*(-4 + 4 + 1) - 3*h**2 + 2*h**2 + 2*h**2 + (3*h - 3*h - h)*(-3*h + h + 0*h) + 2*h**2 + 2*h - 2*h.
3*h**2
Expand (3*x - 2*x**3 - x + 0*x**3)*(0 + 1 + 2)*(2 - 2 - 3*x).
18*x**4 - 18*x**2
Expand (-2 + l + 4 + 0*l)*(-6*l**3 + 3*l**3 + l**3).
-2*l**4 - 4*l**3
Expand (3*j**4 - 2*j**4 + j**4)*((-6 + 3 + 1)*(2*j - 3*j + 3*j) + 0*j - j + 0*j + (j + 3*j - 2*j)*(4 + 1 + 1)).
14*j**5
Expand (1 + g - 1)*(0*g - g + 0*g + (2*g + g - 2*g)*(-1 - 3 + 2)).
-3*g**2
Expand (p + 0*p - 2*p)*(0 + 3 + 1).
-4*p
Expand (2*z**3 + 5*z - 1 - 1 - 4*z**3)*(-2*z + z + 9*z).
-16*z**4 + 40*z**2 - 16*z
Expand (-4 + 6 - 1)*((3 - 4 - 1)*(-2 - 1 + 2) + 1 + 0 + 0)*(3 - q - 3)*(-q**2 - q**2 - q**2).
9*q**3
Expand (-4 - 2 - 3)*(-3 + 2*f + 3).
-18*f
Expand (4*f + 2*f - 3*f)*(-1 + 1 - 1)*(-3 + 3 + 1)*(4 + 2 - 1).
-15*f
Expand (0 + 0 + 2)*(-2*h - 6*h - 3*h) - h - h + 3*h.
-21*h
Expand (3 - 4 + 0)*(0*c**3 + 0*c**3 - 2*c**5) + 6*c**5 - c**5 - 4*c**5 + 3*c - 7*c + 2*c + 4*c**5 + 2*c**5 - 2*c**5 - 2*c**5.
5*c**5 - 2*c
Expand (2 + 0 + 3)*(-a + 2*a + 0*a) + 6*a - 3*a - 2*a.
6*a
Expand (3*u**3 - 2*u**3 - 3*u**3)*(u + 1 - 1) + 3 - 3 - 2*u**4 + (3*u**3 - u**3 - u**3)*(u - 3*u + 0*u).
-6*u**4
Expand (-v**2 + 3*v**2 - 4*v**2)*(2*v - 3*v + 0*v) - 2 - 2*v**3 + 2 + (3 - 5 + 1)*(3*v**3 - 7*v**3 + 2*v**3) + v**3 - v + v.
3*v**3
Expand (5*y - y - 3*y + (y + 0 + 0)*(1 - 1 - 3) + 2*y - y - 4*y)*(-2 + 4 - 4).
10*y
Expand (-6*z + 3 - 3)*(0 + 1 + 1 + (-1 + 0 - 1)*(0 + 3 - 1) - 5 + 1 + 2).
24*z
Expand (2*m + m + 0*m)*(3*m + 2*m - 3*m).
6*m**2
Expand (-5 + 0 + 4)*(v + 1 - 1) - 3*v + v - v + 0*v - 3*v + 2*v + (4 - 2 - 1)*(0 + 2*v + 0) + 4*v + 0*v - 2*v.
-v
Expand l - l + l**5 + (-l + l**2 + l)*(2 - 2 + 2*l**3) + 7*l**5 + 3*l**5 - 9*l**5.
4*l**5
Expand (-27*f**5 + 30*f**2 - 30*f**2)*(-1 + 4 - 1)*(1 + 2 - 2).
-54*f**5
Expand (-2 - 2*f + 0 + 4)*(-f - 4*f + f).
8*f**2 - 8*f
Expand u + 1 - 1 + (-u - 2*u + 4*u)*(-18 - 47 + 4).
-60*u
Expand 4*p**4 + p**2 - 5*p**2 + 3*p**3 + p**2 + (-2 + p + 2)*(-p**3 + 4*p**3 - 4*p**3).
3*p**4 + 3*p**3 - 3*p**2
Expand (s**5 - 5*s**5 + 5*s**5)*(-3 + 1 + 4) + 3*s**5 - 4*s**4 + 4 + 4*s**4.
5*s**5 + 4
Expand (1 + 2 - 2)*(2 - 4 + 6)*(3*d - 3*d + d).
4*d
Expand b**5 - 3*b**5 + 3*b**5 - 1 + 2*b**5 + 1 + (-3 + 0 + 2)*(-2*b**5 + 4*b**4 - 4*b**4) + 3*b**5 - b**5 - 6*b**5.
b**5
Expand 1 + f - 1 + (2 - 4 + 1)*(-3*f + 5*f - f) + 4*f - f - 5*f + f + 5*f - 5*f - f + 2 - 2 + (-2*f - f + 5*f)*(-1 + 1 - 10).
-22*f
Expand (-4 + 5 - 3)*(2*n**4 + 4*n**4 - n**4)*(-3 - 2 + 3).
20*n**4
Expand (2*x**3 + x**3 - 2*x**3)*(-4*x**2 + 2*x**2 + 2 + 0).
-2*x**5 + 2*x**3
Expand (-u**3 + u**3 - u**3)*(39*u - 41*u + 0 + 1 - 2*u**2).
2*u**5 + 2*u**4 - u**3
Expand (4 - 1 - 1)*(10*u + 63 - 63)*(4*u - 4*u - 2*u**4).
-40*u**5
Expand 0 - 3*h + 0 + 0*h - h - h + 3 - 3 + h + (-1 + 0 + 0)*(-2*h + 3*h - 3*h) + 8 - 3 + 0 - 2*h + h - 3*h + 3*h.
-3*h + 5
Expand (-v**2 + 5*v**2 - 3*v**2)*(0*v - v + 2*v) - 5*v**3 + v**3 + 5*v**3 + (v - v - 2*v)*(-2*v**2 + 0*v + 0*v) - v**3 + v**3 + 2*v**3.
8*v**3
Expand (2 - 1 - 2)*(-3*l + 0*l + 2*l - 4 + 2*l + 4 + (0 + 0 + 2)*(-l - l + 3*l) - 3 + 3 + l + 6*l - 2*l - 3*l).
-5*l
Expand (2*k**2 + k**2 - k**2 + (2*k**2 + k**2 - 5*k**2)*(1 - 4 + 1) - k**2 - k**2 - k**2)*(-4*k**3 + 2*k**3 - k**3).
-9*k**5
Expand -2*h**2 + 2*h**2 + 4*h**2 + (-h + 3*h - h)*(-h + 2*h - 2*h) - 2*h**2 + 5*h**2 + 0*h**2 + 6*h**2 + 0*h**2 - 4*h**2.
8*h**2
Expand (-9*l - 6*l**3 + 9*l)*(4*l - 3*l - 4*l).
18*l**4
Expand (4 - b**2 - 4)*(2 - 3 + 3)*(-2*b - b - b).
8*b**3
Expand (w + 2*w - 2*w)*(0 + 0 + 2)*(-16*w**3 + 30*w**3 - 18*w**3).
-8*w**4
Expand (14 + 5*g - 14)*(-9 - 2 + 6)*((1 - 2 - 1)*(-1 + 1 + 1) - 4 - 3 + 5).
100*g
Expand -z - 3*z + 6*z + (-2 + 0 + 3)*(-4*z + 2*z + z) - 10*z + 7*z - 9*z.
-11*z
Expand -l**5 + 6*l - 6*l + l**3 + 4*l**5 - l**3 + (2*l - 5*l + l)*(-l**4 + 4 - 4) - 2*l**5 + 0*l**2 + 0*l**2.
3*l**5
Expand -5*l**2 + 4*l**2 + 3*l**2 + (2 + 0 - 1)*(-5*l**2 + l**2 + 0*l**2) - l - 3*l**2 + l + 0*l**2 + 2*l**2 - l**2 + (-l**2 + l**2 + 2*l**2)*(4 - 5 + 2).
-2*l**2
Expand (-5 + 1 - 7*f + 6)*(2*f + 2*f - 3*f).
-7*f**2 + 2*f
Expand z**2 - 8*z**2 - 34*z**3 + 33*z**3 - z**5 + (-2*z**4 + 2*z**2 - 2*z**2)*(2*z + 0 + 0).
-5*z**5 - z**3 - 7*z**2
Expand (-3*h**3 + 3*h**3 - h**4)*(-2*h + 0*h + h) - 74*h**5 + 30*h**4 - 30*h**4.
-73*h**5
Expand (2*b**2 + b + 1 - 1 - 1)*(3 - 3 + b**3).
2*b**5 + b**4 - b**3
Expand -q + q + 5*q + 3*q - 2*q + q - 2*q + 4*q - q + (q - 3*q + 0*q)*(0 - 2 + 3) - 5*q + q + 0*q.
2*q
Expand (-4 - 2*k**4 + 4)*(2 - 1 - 3) + 2*k**4 - 5*k**4 + k**4 - k**4 - 2*k**4 + 12*k**4 - 2*k**2 - k**4 + 2*k**2 + (-k**3 + 3*k**3 - 6*k**3)*(-2*k + 2*k - 3*k).
22*k**4
Expand (-2 + 3 - 2)*(z - z - 7*z) - 2*z + 0*z + 0*z.
5*z
Expand -3*k**4 - 2*k**4 + 6*k**4 - 3 + 3 + k**4 + (-3*k**4 + 0*k**4 + 5*k**4)*(1 + 0 + 0) + k**4 + 3*k**2 - 3*k**2.
5*k**4
Expand (0*l - 3*l + l)*(-1 + 3 - 6) + (-1 + 1 - 2*l)*(-4 + 3 + 3) + 2 - l - 2 + 0*l + 3*l - 2*l.
4*l
Expand (2 - 3 + 3)*(-u - 3 + 3) + 3*u - u + u.
u
Expand (o - 2*o + 3*o)*(-2 - 2*o + 2)*((-1 - 3 + 5)*(-1 + 2 - 6) - 2 + 1 - 1).
28*o**2
Expand (4*y**4 - 14*y**4 + 20*y**4)*(-3*y + 0*y + 4*y).
10*y**5
Expand (-2*a - 2*a + 2*a)*(-2*a - 3*a - 2*a).
14*a**2
Expand (-4*b + 2*b + 6*b)*(2 - 2 - 2*b) + (0*b**2 - 2*b**2 + 3*b**2)*(-2 - 3 + 4).
-9*b**2
Expand (-3*h**2 + 2*h**3 + 3*h**2)*(3*h - 10*h - 17*h).
-48*h**4
Expand (-2*p + 4*p + 9*p)*(p**2 - 2*p**2 - 3*p**2) - 2 + 2*p**3 + 2.
-42*p**3
Expand (2*l - 2*l + 2*l)*(-2*l**2 + 8*l**2 + 5*l**2) + (-2*l + 5*l - 4*l)*(3*l**2 - 2*l**2 - 2*l**2) - 3*l**3 + | {
"pile_set_name": "DM Mathematics"
} |
= 4*w + 18. Calculate i*a(m) + g(m).
m**3 - 2
Let b(q) = 8025*q**3 - 13*q**2 - 13*q + 39. Let h(u) = 4013*u**3 - 6*u**2 - 6*u + 18. Calculate -6*b(a) + 13*h(a).
4019*a**3
Let j(y) = 3*y**2 + y - 6. Let o(t) = 13*t**2 + 650*t - 36. What is 6*j(i) - o(i)?
5*i**2 - 644*i
Let z(b) = 49*b**2 - 234*b + 38. Let h(j) = -22*j**2 + 104*j - 17. Determine -20*h(r) - 9*z(r).
-r**2 + 26*r - 2
Let q(y) = -y**2 + 2*y - 3. Suppose -28*b + 3*l - 8 = -23*b, 2*l - 2 = 0. Let m(p) = p + 3. Let j be m(-6). Let h(o) = -o + 1. Determine b*q(v) + j*h(v).
v**2 + v
Let a(x) = 13*x - 229. Let u be a(18). Let b(l) = 6*l - 1. Let y(i) = 4*i - 1. Give u*b(d) - 7*y(d).
2*d + 2
Let k(b) = 26*b + 33. Let o(h) = -173*h - 220. Let p(j) = 20*k(j) + 3*o(j). Let c(n) = 7*n**3 - 28*n. Let v = -1 + 2. Give v*c(i) + 28*p(i).
7*i**3
Let j(u) = -4*u**2 - 5*u - 4. Let m(b) be the first derivative of b**3 + 2*b**2 + 5*b + 8232. Give 2*j(k) + 3*m(k).
k**2 + 2*k + 7
Let l(r) = -5*r**2 - 2*r + 1. Let g(z) = -9*z**2 + 15*z + 2. Let s(x) = 27*x**2 - 48*x - 6. Let n(f) = 19*g(f) + 6*s(f). Give 5*l(y) - 3*n(y).
2*y**2 - y - 1
Let v(t) = -5*t - 3. Suppose 4*f + 122 = 5*z, -5*f + 2*f = 2*z + 80. Let x(j) = 12 + 24*j + 5 - 3. Calculate f*v(d) - 6*x(d).
-4*d
Let j(g) = 1. Suppose -16*i + 5*l - 2696 = -12*i, -3*l = -3*i - 2025. Let z = i - -658. Let k(q) = -3*q - 7. What is z*j(r) - 3*k(r)?
9*r
Let f(p) = -2*p - 4 + 2*p - 3*p**3 - 6*p**3 + 4*p**2. Let c(b) = -b**3 + b**2 - 1. Suppose -8*k + 5*k = -57. Suppose 7*y = k*y - 12. Calculate y*f(x) - 4*c(x).
-5*x**3
Let h(i) = -32*i + 14. Let u(a) = 418 - 207 - 206 - 169*a + 158*a. Give -6*h(t) + 17*u(t).
5*t + 1
Let d(a) = 22*a + 6. Let b(j) be the second derivative of -7*j**3/6 - j**2 + 423*j. Give -7*b(x) - 2*d(x).
5*x + 2
Let i(f) = -6*f**3 + 4*f**2 + 3*f + 3. Let p(q) = 5*q**3 - 5*q**2 - 3*q - 4. Let v = 4253 + -4257. Calculate v*i(r) - 3*p(r).
9*r**3 - r**2 - 3*r
Let h(q) be the third derivative of -q**4/24 - q**3/6 + 1117*q**2 - q. Let l(u) = 2*u**2 + 3*u. What is 2*h(f) - l(f)?
-2*f**2 - 5*f - 2
Let g(f) be the first derivative of f**3/3 - f**2/2 + f + 11. Let k(o) = 6 - 5 - 5*o**2 - 2*o**2 + 7*o**2 - 7*o + 4*o**2. Calculate 2*g(i) - k(i).
-2*i**2 + 5*i + 1
Let m(q) = q**2 - 824*q - 8. Let p(s) = -3*s**2 + 1647*s + 20. What is 5*m(v) + 2*p(v)?
-v**2 - 826*v
Let k(y) = 2*y**2 + 2*y - 4. Let b(c) = -4*c**2 + 8*c + 19. Calculate -b(f) + 6*k(f).
16*f**2 + 4*f - 43
Let y(g) = 6*g**2 + g + 1. Let o(r) = 1947*r**2 + r + 1. Determine o(x) - y(x).
1941*x**2
Let u(z) = z**3 + z**2 - z - 3. Let s be u(-2). Let c(w) = -33*w - 3. Let p(x) = 98*x + 10. What is s*p(h) - 16*c(h)?
38*h - 2
Let s(l) = -l + 1. Let n(k) = -79*k + 8. Let q(w) = 34*w - 4. Let f(o) = -2*n(o) - 5*q(o). Give f(c) - 3*s(c).
-9*c + 1
Let y(s) be the third derivative of -7*s**4/6 - 7*s**3/6 - 274*s**2. Let r(k) = -k - 8*k + 0*k - 2. Calculate 7*r(p) - 2*y(p).
-7*p
Let o(m) = 1. Let x(s) = 3*s - 16 - 37 - 29 + 64 + 3*s. Calculate -72*o(t) - 4*x(t).
-24*t
Let m(t) = 13*t**2 + 15*t - 16. Let o = -16315 - -16313. Let x(d) = 4*d**2 + 5*d - 5. Determine o*m(p) + 7*x(p).
2*p**2 + 5*p - 3
Let t = -85 - -147. Let l = t - 67. Let h(p) = -5*p. Let r(c) = 3*c. Give l*r(v) - 2*h(v).
-5*v
Let x(l) be the second derivative of l**2/2 + 60289*l. Let h(k) = -k + 1. Suppose 2*a + 6 - 2 = 0. Give a*h(v) + 2*x(v).
2*v
Let g(o) = -7*o - 5. Let z(i) = -10*i - 7. Suppose b = -19*b + 180. Suppose -b*a - 48 = 15. Calculate a*g(k) + 5*z(k).
-k
Let b(z) = -3*z**2 - 4*z + 5. Let n(g) = 3*g**2 + 3*g - 4. Suppose 136 = 24*p - 16*p. Suppose 2*x + 4*i - 8 + 12 = 0, 3*x - 5*i = -p. What is x*b(v) - 5*n(v)?
-3*v**2 + v
Let y(p) = 1642742*p - 35364. Let f(z) = 836*z - 18. What is 5894*f(k) - 3*y(k)?
-842*k
Let j(l) = l - 3. Let z be j(2). Let n = -471 - -474. Let p(d) = -6*d**n - 8 + 2*d**3 + 3159*d - 3152*d. Let c(f) = -f**3 + f - 1. Determine z*p(o) + 6*c(o).
-2*o**3 - o + 2
Let k(j) = j**3 + j - 1. Let u(g) = -2*g**3 - 4*g + 4. Let s be (20*-4)/4*(-13 + 5 + 9). Give s*k(a) - 5*u(a).
-10*a**3
Let p(u) = -u**3 + u - 2. Let l(f) = 14*f**3 - 3*f**2 + 2*f - 10. Let i(a) = l(a) - 5*p(a). Let y(q) = 96*q**3 - 16*q**2 - 16*q. What is 16*i(b) - 3*y(b)?
16*b**3
Suppose 7*i = 13 - 27. Let c(a) = 3*a**3 + 4*a**2 - 19*a - 35. Let s be c(i). Let d(z) = -7*z. Let x(l) = -7*l - 3*l - 8*l. What is s*x(r) + 12*d(r)?
6*r
Let y(b) = 3*b + 1190. Let x(g) = -2*g - 1115. Calculate -6*x(t) - 5*y(t).
-3*t + 740
Let z(n) = 4*n**2 + 3*n + 1. Let v(a) = -1 - 2019839*a - 2 - 11*a**2 + 2019831*a - a**3. Let q(o) = 9*o**3 + 1. Let x be q(-1). Give x*z(b) - 3*v(b).
3*b**3 + b**2 + 1
Let q(l) = -5*l + 2. Let a(o) be the third derivative of 3*o**4/8 - o**3/2 - 22*o**2 + 12*o. Let k(i) = i + 4. Let m be k(-7). Determine m*a(v) - 5*q(v).
-2*v - 1
Let b(v) = 5*v**2 - 4*v + 2. Suppose 0 = -7*x - 1 + 8. Let s be b(x). Let u = -413 - -414. Let l(q) = -q - 1. Let t(f) = 4*f + 4. Determine s*l(m) + u*t(m).
m + 1
Let t be 4 + 4/(-8) + 91/14. Suppose 29*h - 31*h + t = 0. Let i(l) = 5*l**2 + l + 5. Let b(g) = 9*g**2 + g + 9. Give h*i(f) - 3*b(f).
-2*f**2 + 2*f - 2
Let g(m) = -123*m - 3. Let h be g(1). Let v = -142 - h. Let w(f) = 7*f. Let x(t) = 22*t. Let a = -5 + 10. Give a*x(z) + v*w(z).
-2*z
Let i(y) = 7*y - 8. Let b(v) = -3*v + 1. Let u(k) = 2*b(k) + i(k). Let m(l) = 3*l - 18. Determine 3*m(c) - 8*u(c).
c - 6
Let i(w) = 1037*w + 85. Let x(b) = -157*b - 21. Let c(n) = -78*n - 10. Let a(k) = -9*c(k) + 4*x(k). Calculate -85*a(d) + 6*i(d).
-68*d
Let l(g) = g - 6*g**3 - 8 + 2*g**2 - 5*g**3 + 4 + 3*g + 14*g**3. Let c(k) = -3*k**3 - k**2 - 3*k + 3. Give 4*c(i) + 3*l(i).
-3*i**3 + 2*i**2
Let n(l) = 6*l**3 + 7*l**2 - 7. Suppose -2*j = -j - 3. Let y(q) = 3*q**3 + 0*q**3 - j + 0 + 3*q**2. Suppose -811 = 92*d - 535. Give d*n(i) + 7*y(i).
3*i**3
Let l(m) = 4*m**2 + 13*m + 6. Let x(c) = 2*c**2 + 7*c + 2. Give 3*l(r) - 5*x(r).
2*r**2 + 4*r + 8
Let d(b) = 5*b**3 + 7*b**2 + 6*b + 3. Let t(c) be the third derivative of c**6/120 + c**5/60 + c**4/24 + c**3/6 + 2*c**2 - 795*c. Give -d(i) + 3*t(i).
-2*i**3 - 4*i**2 - 3*i
Let b(u) = 2*u + 21. Let t(v) = 284 - 878 + 293 + 280 - 2*v + v. What is 3*b(z) + 4*t(z)?
2*z - 21
Let j = -13450 + 13463. Let a(p) = -24*p + 11. Let t(o) = -12*o + 5. Calculate j*t(f) - 6*a(f).
-12*f - 1
Let z(x) = 169*x**3 - 11*x**2 + 11*x - 16. Let b(c) = 34*c**3 - 2*c**2 + 2*c - 3. Let d(l) = l**2 + 19*l - 512. Let a be d(15). What is a*z(j) + 11*b(j)?
36*j**3 - 1
Let s = 1 - 7. Let r(h) = 6*h - 11. Let p(l) = -5*l - 38. Let y(t) = -5*t - 30. Let c(a) = 5*p(a) - 6*y(a). Determine s*r(w) + 7*c(w).
-w - 4
Let v(c) = -15*c**2 - 23*c - 14. Suppose 398*s - 799*s + 255 = -416*s. Let z(h) = -5*h**2 - 8*h - 5. Determine s*z(g) + 6*v(g).
-5*g**2 - 2*g + 1
Let t(b) = b**2 - 29*b + 48. Let p be t(27). Let x(w) = 7*w**2 + w + 2. Let u(q) = 8*q - 6*q**2 + q - 2 - 10*q. Let z = 10 - 15. What is p*u(a) + z*x(a)?
a**2 + a + 2
Let p(u) = -3*u**2 - 5*u + 2. Let h = 2994 - 3001. Let f(t) = 5*t**2 + 10*t - 4. Determine h*p(d) - 4*f(d).
d**2 - 5*d + 2
Let l(j) = -j**3 + j. Let f(u) = 6*u**3 - 2*u**2 - 3*u - 2. Suppose 7*y + 16 = -5*d + 8*y, -2*d = 2*y + 4. Calculate d*l(n) - f(n).
-3*n**3 + 2*n**2 + 2
Let w(a) = 10*a**2 - a + 71. Let u(j) = 15*j**2 - j + 107. Calculate 5*u(s) - 8*w(s).
-5*s**2 + 3*s - 33
Let j(s) = -10241*s - 44. Let z(r) = 1464*r + 6. Determine 2*j(h) + 15*z(h).
1478*h + 2
Let b(u) = -u**2 + 1. Let y(a) = -11*a**2 - 18*a - 3. Let c(l) = -38*l**2 - 60*l - 8. Let g(s) = 3*c(s) - 10*y(s). What is 3*b(v) - g(v)?
v**2 - 3
Let n(z) = 18859010*z**2 - 18420. Let p(v) = -9213*v**2 + 9. Calculate -3*n(w) - 6140*p(w).
-9210*w**2
Let j(w) = 8*w**3 + 9*w**2 - 14*w - 124. Let y(z) = 5*z**3 + 6*z**2 - 10*z - 83. Determine 5*j(a) - 7*y(a).
5*a**3 + 3*a**2 - 39
Let y(i) = 11*i**3 + 4*i**2 - 6. Let j(f) = 11*f**3 + 5*f**2 - 7. Let x = -881 + 874. Determine x*y(v) + 6*j(v).
-11*v**3 + 2*v**2
Let n(k) = -2*k**3 + 37*k**2 + 3*k - 105. Let j(o) = -14*o**2 - o + 1. Give -2*j(s) - n(s).
2*s**3 - 9*s**2 - s + 103
Suppose 2*g - 7 = -3. Suppose g*w = -2*w + 20, 23 = h + 4*w. Let j(i) = 3*i**2 + 2. Let t(y) = 2*y**2 + 1. What is h*j(n) - 5*t(n)?
-n**2 + 1
Suppose 14*t = 24*t - 200. Let v(p) = -6*p**3 + 5*p**2 - 5*p - 5. Suppose -7*q = -30 + 2. Let i(x) = x**3 - x**2 + x + 1. What is q*v(j) + | {
"pile_set_name": "DM Mathematics"
} |
r j.
3
Let i = -3 + -5. Let r = i + 10. Solve c = 3 + r for c.
5
Suppose 4 = -5*h + 9. Let c(b) = b + 1. Let w be c(0). Solve -2*v - h = w for v.
-1
Suppose -z = -0*z - 12. Suppose v = -0*v + 8. Suppose 3*x - 3*o = x + v, -3*x + 2*o = -z. Solve -15 = x*f - f for f.
-5
Let m be 0 + -2 - (-15 + 13). Solve 0 = -m*w - 2*w - 4 for w.
-2
Suppose g = -3*z + 19, 3*g + 4*z - 76 = -g. Let d = g - 15. Solve -7 = d*t + 13 for t.
-5
Let v(h) = h**2 - 9*h + 10. Suppose -o - 3*o + 8 = 0, 4*x = 2*o + 28. Let z be v(x). Solve 15 = -z*j - j for j.
-5
Suppose 0 = -z + 4*r - 4, -5*z - r + 3 = 2*r. Let g = z + 2. Let d = 5 - g. Solve 0*o = o + d for o.
-3
Suppose r - 12 = -2*c, -5*c + 0*r = -2*r - 12. Solve -3*x + c = -2 for x.
2
Suppose -3*s = s + 40. Let i be (-8)/s*10/4. Solve i*n = n for n.
0
Suppose g = -3*g - 8. Suppose -6*p - 2 = -p + 4*k, -2*p + 5*k = -19. Let w be g/(-4) - p/4. Solve -a + 5*a = w for a.
0
Let x = -31 + 37. Solve -x*a = -7*a + 3 for a.
3
Let j(s) = 6*s + 1. Let u be j(3). Let r(a) = -5*a - 5. Let b be r(-2). Suppose -b*q = -u - 6. Solve -5*p + q = -0 for p.
1
Suppose 4*c + 10 = -x + 8*c, 5*c - 44 = -4*x. Solve 2*n - 2 = x for n.
4
Let g = -2 - 4. Let w be (-3)/6*6 - g. Solve w = -d + 2 for d.
-1
Let d(p) be the second derivative of -p**5/20 - p**4/12 - p**3/6 + p**2 - 3*p. Let i be d(0). Solve 6*w - 12 = i*w for w.
3
Let h be 3/(2 - (-2)/(-2)). Solve -x = -h*x for x.
0
Let y = -101 + 103. Solve y*o = -o - 6 for o.
-2
Suppose -3*r - r = -f - 31, 0 = -4*r - 4*f + 16. Let t(o) = -o**3 + 7*o**2 + 5. Let h be t(r). Solve i = 6*i - h for i.
1
Let a(p) = p**3 - 5*p**2 + 4*p. Let w be a(3). Suppose -3 = -u - 2, -2*k - u - 3 = 0. Let h = k - w. Solve 0 = -3*y + 2*y + h for y.
4
Let s(b) = b + 11. Let t be s(-10). Let r be 25/(-20)*(t + -5). Suppose r*h + 5 = 6*h. Solve 3*o - 7 = h for o.
4
Suppose -2*o + 7 - 1 = -r, 2*r = 0. Let u be 35/3 + (-3)/(-9). Let t = u + -8. Solve t*h + 1 = o*h for h.
-1
Suppose -5*j - 10 = 10. Let o(w) = w**2 + 4*w + 5. Let h be o(j). Solve -4*m - m - h = 0 for m.
-1
Suppose -3*u - 3 = -y, 0 = -5*y + u + 2*u - 9. Let d = y - -8. Solve -k + 16 = -d*k for k.
-4
Suppose -10 = -10*m + 8*m. Solve m*g - 18 = 7 for g.
5
Let m(n) = 2*n. Suppose -3 = -2*v - 13. Let u be m(v). Let y = -6 - u. Solve -y = -3*c + 2 for c.
2
Let b(a) be the first derivative of -a**4/4 - 14*a**3/3 + 7*a**2 - a - 1. Let s be b(-15). Solve -1 = 3*r + s for r.
-5
Suppose 0*p - 3*p = -12. Suppose -m + p = m. Suppose 3*j = -0*j + 12. Solve -2*u - m - j = 0 for u.
-3
Suppose -4*t - k + 17 = -2*k, 0 = 4*k + 20. Solve -t = u + 2*u for u.
-1
Let y = 61 - 58. Solve 1 = 2*l - y*l for l.
-1
Let q = 6 + -3. Let a(k) = 0*k**2 + q*k**2 - 7*k - 2*k**2 + 4. Let b be a(7). Solve -b*t = -0*t for t.
0
Let i(u) be the third derivative of -u**5/60 + 11*u**4/24 + 2*u**3 - 4*u**2. Let z be i(12). Solve c - 5*c = z for c.
0
Let p be -2 + 1 + -1*5. Let v(g) = g**3 + 5*g**2 - 5*g + 8. Let b be v(p). Let d = -4 - -11. Solve -b*f - d = -1 for f.
-3
Let r(s) = -s - 5. Let f be r(-9). Solve f*m = m for m.
0
Suppose 0 = 4*z - 0*z - 8. Let t(g) = g**2 + 13*g + 5. Let n be t(-13). Let a be -17*((-3 - 0) + 2). Solve z = n*j + a for j.
-3
Suppose -c - 4 = -9. Solve c*d - d + 20 = 0 for d.
-5
Let c be (-3)/(9/(-33)) + -3. Suppose -c - 20 = 2*g. Let t be (g/21)/(1/(-3)). Solve -t*k + 20 = -6*k for k.
-5
Let n be -2*(-3)/(-24) - (-10)/8. Solve d = -0*d - n for d.
-1
Let w(f) = -f - 6. Let a be w(12). Let j be (1 - 3)*a/9. Let g be ((-14)/8 + 2)*j. Solve 3 = s - g for s.
4
Suppose -2*t + t = j, -5*t = j + 8. Let n(r) = 3*r**2 - 3*r + 1 + 0*r - r**2. Let u be n(2). Solve -j - u = f for f.
-5
Let x(u) = 2*u**2 - 2*u - 1. Let t be x(-1). Let p be 1/(t/9) - -22. Solve 5*s + 0*s = -p for s.
-5
Suppose 0 = 3*m - 70 + 58. Solve m*w - w - 3 = 0 for w.
1
Let h be 75/45 + (-1)/(-3). Solve 4*c + 14 = h for c.
-3
Let n = 0 - 0. Let y be -1*n/(-1 + 2). Suppose 0 = -y*q + 3*q. Solve 0*a + a + 3 = q for a.
-3
Let b(k) = -k**3 - 7*k**2 - 3*k - 19. Let c be b(-7). Suppose -i = 4*v - 0*v - 17, -3*i - 4*v + 27 = 0. Suppose u - c = i. Solve -5*g - u - 13 = 0 for g.
-4
Let i(x) = -x**2 - 3*x - 1. Let n be i(-2). Let m be (n - -2)*2/3. Suppose 3*q - 5*h = 21, 0*h + m = -2*q - 2*h. Solve q*l = 3*l - 3 for l.
3
Suppose 0 = 5*p - 0*p - 25. Let n be (-2)/(p/(60/(-8))). Suppose 3*v + 102 = 4*u, -2*u + 0 = -4*v - 56. Solve 9 - u = -n*m for m.
5
Let q(u) = -2*u. Let d be q(3). Let h = d - -11. Solve -4 - h = -3*w for w.
3
Let g(m) = -2*m - 9. Let a be g(-6). Solve -8*v + a*v = 15 for v.
-3
Let y(p) = -p + 10. Let s be y(8). Suppose 2*f = -s*f. Let x = 5 + -2. Solve f*g - 12 = -x*g for g.
4
Let k(p) = p**3 - 5*p**2 + 6*p - 5. Let s be k(4). Suppose -5*a = -4*n - 65, 0 = -2*a - s*n - 2*n - 7. Let d = -4 + 6. Solve 1 = d*l - a for l.
5
Let h = -111 + 113. Solve 3*n = -h*n for n.
0
Let i = -30 + 30. Solve i*p + 4 = 2*p for p.
2
Suppose 5*x - 2*j + 6 - 24 = 0, -2*j = -3*x + 14. Let z = 4 - x. Solve -z*i + 9 = i for i.
3
Suppose -11*v + 2*v + 54 = 0. Solve 0 = -3*j + 5*j + v for j.
-3
Let s(v) = v - 1. Let z be s(0). Let u be 26 + (1 - 0)*z. Suppose 2*o = -3*o + u. Solve 0*y + o*y - 5 = 0 for y.
1
Suppose -27 = 2*o + 5*d, o + d + 16 = 1. Let s = -8 - o. Solve 8 = 4*n - s*n for n.
-2
Suppose 0 = -2*n - 6, 0 = k - 2*k - n - 8. Let q be 2/(3 + k)*-20. Solve -6*p = -p - q for p.
4
Let a be -4 + 12/3 - -5. Solve 3 = a*o - 2*o for o.
1
Suppose -5*x + 0*x = p - 10, 0 = 3*x + 4*p + 11. Solve -l - 2*l = x for l.
-1
Suppose 0*f - 2*f - 12 = 0. Let b be (f/1*1)/(-2). Let p(s) = s**3 - s**2 + 1. Let g be p(0). Solve b = -2*r - g for r.
-2
Let p(f) = -3*f**2 + 2*f - 4*f - 2*f + f**3 + 5. Let n be p(4). Solve -z + n = -0*z for z.
5
Suppose 0*k - 20 = -2*k - 4*s, 16 = 4*s. Solve k*f = 4*f + 4 for f.
-2
Suppose 96 = -2*i - 2*i. Let y be 47/7 - i/84. Solve y + 13 = -5*k for k.
-4
Suppose 0 = -3*j + j + 8. Solve c = -j*c - 20 for c.
-4
Let k be (-15)/(-4) - (-2)/8. Let o(x) = -x**3 + 3*x**2 + 6*x - 4. Let t be o(k). Solve 1 = -n - t for n.
-5
Let k(w) = 6*w**2 + 2*w. Let f be k(-1). Solve -z + f = z for z.
2
Let b = -1 + -1. Let d be 16/(-12) + b/3. Let q = 4 + d. Solve -g + q = -1 for g.
3
Suppose -13 = 7*j - 2*j - 3*v, 0 = 3*j + 3*v + 3. Let b = j - -4. Suppose -y + 20 = -m + 5, -5*y + 2*m + 66 = 0. Solve -b = -2*z - y for z.
-5
Let j = 4 - 4. Let l = 72 + -69. Solve -m + 0*m + l = j for m.
3
Let k = 71 - 123. Let m = k + 79. Solve -m = -5*r - 2 for r.
5
Let s be (-2 - 2)*6/(-12). Solve 4*l - 6*l - s = 0 for l.
-1
Let p(z) = z. Let b(d) = 4*d - 1. Let x(r) = 1. Let y(l) = -b(l) - 6*x(l). Let s(q) = -5*p(q) - y(q). Let j be s(0). Solve -j*v - 23 + 8 = 0 for v.
-3
Let t(p) = p**3 + 6*p**2 + 5*p + 1. Suppose 2*h = 4*h + 10. Let g be t(h). Solve 0 = -k - g + 6 for k.
5
Suppose -5*j + q + 13 + 12 = 0, 2*j = -3*q - 7. Let d be (-30)/6*j/(-10). Suppose -2*h - g = -2, -3*h - g = -6*h + 13. Solve w + h = -d*w for w.
-1
Let n(d) = -6*d - 1. Let a be n(-1). Solve -6*g = -g - a for g.
1
Let h = 1 + 0. Let q = 3 + h. Solve q*x = 8 + 4 for x.
3
Suppose 6 = -j + 5. Let z be j/(-2) + (-22)/(-4). Solve s - z = 3*s for s.
-3
Let k be (2 - (4 + -5)) + -1. Suppose 0 = k*m - 10 - 6. Solve 5*i - m = 2 for i.
2
Let o(k) = -5 + 3*k - k + k. Let b(g) = g**3 - 3*g**2 + 3*g - 5. Let n be b(3). Let p be o(n). Solve -4*q = -p*q - 9 for q.
-3
Let t be 0 - 3/(1*-3). Let d be 2/t - (0 - 0). Suppose -f = -d - 0. Solve -f*j = -3*j - 1 for j.
-1
Let c be ((-4)/12)/(1/(-18)). Let d = c + -5. Solve -4 = 3*p - d for p.
-1
Suppose 0*g - g + 5 = 0. Solve -2*z - 15 = -g*z for z.
5
Let m(o) = o**3 - 10*o**2 - 2*o + 1. Let t be m(10). Let y be -4*(t/4 + 4). Solve 5*a - y - 7 = 0 for a.
2
Let h be ((-3)/2)/((-3)/6). Suppose -k + 4*q - h = 3, -10 = -4*k - q. Solve -9 + 1 = k*l for l.
-4
Let a(s) be the first derivative of -s**4/4 - 8*s**3/3 - s**2/2 - 6*s + 1. Let k be a(-8). Solve k*h - 1 = 3*h for h.
-1
Suppose -4*a = -7*a - 27. Let o be 5 + a/3 + 2. Solve o*x - 9 = x for x.
3
Let j = 29 + -27. Solve -g + 0*g = j for g.
-2
Let m = 93 - 86. Suppose 0 = 2*d + 6*c - c + 20, 16 = -4*c. Solve 4*r + 5 + m = d for r.
-3
Let q(h) = -8*h - 5*h**2 + 2 + 3*h**2 + h**2. Let y be q(-7). Solve -11 = -5*c + y for c.
4
Let a = 53 + -48. Solve a*t - 6 = -31 for t.
-5
Let w be (0 + -1)/(2/(-4)). S | {
"pile_set_name": "DM Mathematics"
} |
t k be i(0). Let x(t) = t**2 + 2*t - 3. Let p be x(2). Solve -k*b + 2*b = -p for b.
5
Let g be (-2 + 3 - 1) + 6. Let c be g/5*10/3. Solve -o = -2*o - c for o.
-4
Suppose -3*d + 4*d = 0. Let u(o) = o**2. Let i be u(d). Solve -h = -i*h for h.
0
Let b(d) = -d**2 + d. Let l be b(0). Let n be (-60)/(-36)*(l + 3). Solve -k + 16 = -n*k for k.
-4
Let c be (6 - (4 - 1)) + 4. Let u = -5 + c. Solve 4*w - 6 = u*w for w.
3
Suppose 3*d - 1 = -5*l - 2, 0 = 4*d + l - 10. Solve 3 + d = -2*m for m.
-3
Suppose 2*x = -3 + 13. Let v be 3/x - (-6)/(-10). Solve 2*j = -v*j + 10 for j.
5
Suppose 11 = -2*f - s + 1, -2*s = -f - 15. Suppose -p - 3*x = -20, p = -0*p - 4*x + 22. Let q be (-12)/p*f*1. Solve v + v - q = 0 for v.
3
Let p be 6*-1*8/6. Let w = p - -13. Suppose -15 = -w*j - 0. Solve 0 = -0*x + j*x - 6 for x.
2
Suppose -4*s + 13 - 1 = 0. Solve -12 - s = -3*l for l.
5
Suppose 4*s + 2 = a, 2*s + 0 = -5*a + 10. Solve -q - q = s for q.
0
Suppose 24 - 9 = 3*c. Suppose -u = -4*u - i + 11, 4*i = u + c. Suppose 0 = 2*n + l - 1, -u*n - 3 = 2*l + l. Solve -3*a = n + 13 for a.
-5
Let i = -14 + 20. Suppose 0*f + i = 3*f. Suppose 5*p - 20 = f*j, 4*p + j = -2*j + 16. Solve 4*d = -0 - p for d.
-1
Suppose 3*z - 10*z = -28. Solve -z*x + 2*x = 0 for x.
0
Let r(g) = 2*g**3 + 2*g**2 - 3*g + 2. Let a be r(1). Let p(h) = 3*h - 7. Let x be p(a). Solve -x = 2*n - 6 for n.
2
Suppose 2*z + 34 = -5*t, -5*t + 2*z - 9 = 37. Let v = t + 12. Solve -17 = v*c - 5 for c.
-3
Suppose -70 = i + 4*i. Let d be 7/(i/(-48)) + 1. Solve -g + d = -6*g for g.
-5
Suppose 0 = 3*v - 7*v. Let j(b) = -b**3 - 3*b**2 + 1. Let r be j(-2). Let f = v - r. Solve -5*t + f*t = 0 for t.
0
Suppose 2*y = 4*y. Suppose 3*i - 11 = 1. Solve y = -2*t - 0*t + i for t.
2
Let p be (7 + -1)*(-8)/(-6). Suppose 5*b - 3*m = 12, -5*m + 5 - 25 = -4*b. Solve -3*y + 7*y - p = b for y.
2
Let g be 0/(-1*2)*-1. Suppose 2*h = -0*m + 4*m - 10, -5*h + 5 = -4*m. Solve g = -m*k + 3*k + 2 for k.
1
Let h = -51 + 58. Solve 0 = 3*a - 2 - h for a.
3
Suppose 20 = -3*h + 4*h. Suppose -3*f + h = -8*f + 5*u, -5*f + u = 16. Let p = 8 + f. Solve -10 = p*l - 0 for l.
-2
Suppose 34 - 6 = 4*g. Let l(t) be the third derivative of -t**6/120 + t**5/10 + 7*t**4/24 + t**3/2 + 3*t**2. Let s be l(g). Solve s + 2 = 5*u for u.
1
Let k(u) = -u**2 - 7*u + 34. Let h be k(-10). Solve 0*j = -4*j + h for j.
1
Suppose 3*b - 37 = 4*j, -b = -4*j - 3*b - 42. Let p = -1 - j. Solve 0*d - p = 3*d for d.
-3
Suppose 19 - 3 = 4*l. Suppose l*n + 4 - 24 = -2*o, 2*o = n - 5. Solve 0 = -n*j + 4*j - 3 for j.
-3
Suppose 0 = 6*m - 0 - 30. Solve -10 = -3*h + m*h for h.
-5
Suppose 0 = -5*p, -s - 3*s + 8 = 4*p. Let c be ((-1)/(-2))/(2/16). Suppose -c*q - 7*k - 17 = -2*k, -k - 7 = -q. Solve -q + 12 = -s*y for y.
-5
Let h be 2/10 - 96/(-20). Suppose -v + h + 0 = 0. Solve 0 = -4*d + 3*d - v for d.
-5
Let j(k) = -k - 3. Let h be j(-3). Suppose h*o - 12 = -2*o. Solve -p - 2*p + o = 0 for p.
2
Let u(n) = 3*n**2 - 2*n + 1. Let g be u(2). Suppose 5*i = 11 + g. Solve -i*v - 8 = 4 for v.
-3
Let r(v) be the third derivative of -v**5/60 + 3*v**4/8 - v**3/2 + v**2. Let n be r(8). Let g(f) = f**3 - f**2. Let j be g(2). Solve -11 - n = -j*z for z.
4
Let o = 14 + -9. Solve -13 = o*n + 12 for n.
-5
Suppose -9*i = -4*i - q - 52, 2*q = -2*i + 28. Suppose 7*d - 4*d = -2*g - 11, 3*g - i = d. Suppose -3*t + 3 = -3. Solve -g - t = n for n.
-4
Let f be 10/4*10/5. Suppose -f*u = -3*u - 50. Suppose -2*o + u = 3*o. Solve -a + 20 = -o*a for a.
-5
Let t = -3 + 11. Let k = -5 + t. Let c(a) = a**3 - 4*a**2 + 5*a - 4. Let z be c(k). Solve 0 = i - z for i.
2
Let i(k) = -k**3 - 4*k**2 - 2*k + 5. Let v be i(-3). Solve -3*u - 4 - v = 0 for u.
-2
Let x(o) = o + 8. Suppose -3*y = 4*q + 9, y + 14 - 1 = -3*q. Let v be x(q). Solve v*d - 3*d = 0 for d.
0
Suppose -3*v - 2*v = 35. Let t(o) = o**2 - 3*o. Let w(q) = q**2 - 3*q. Let m(n) = v*t(n) + 6*w(n). Let x be m(2). Solve -x*u = 3*u for u.
0
Let d be (-35)/11 + 10/55. Let q be 0/(((-3)/d)/(-1)). Solve -5*h - 14 - 6 = q for h.
-4
Let q = -8 + 18. Suppose -2*g + q = -7*g. Let c be (1 - g)*(-6)/(-9). Solve r - c*r = -1 for r.
1
Let w = -6 + 11. Solve 3 = 6*i - w*i for i.
3
Let l(s) = 4*s**3 + s**2 - 2*s + 1. Let i be l(1). Solve 0*y - 4 = -i*y for y.
1
Let h(z) = z**3 + 4*z**2 - 6*z - 3. Let f be h(-5). Suppose 0 = 5*w + 4*a - 8, -2*w + 2*a - 3*a = -f. Solve 8*v - 3*v = w for v.
0
Let i = 4 + 0. Suppose -4*s + 6 = -2*s. Suppose 3*z - 19 - 17 = -4*x, 0 = s*z + 5*x - 39. Solve 8 = -z*m + i*m for m.
-2
Suppose -6*q + 9 + 51 = 0. Let h(j) = -j + 8. Let b be h(8). Solve 5*n + q = -b*n for n.
-2
Suppose -7*h + 12*h = 0. Solve 2*i + h = -4 for i.
-2
Let h = 23 + -21. Solve -14 = 4*z + h for z.
-4
Let f(w) = 2*w**2 - 3 - w**2 + 2*w - 1 + 1. Let a be f(2). Solve -a*j = -j for j.
0
Let t be 4/4 + -2 - -6. Solve 0 = -f + t*f for f.
0
Suppose -3*s = -5*b + 12, 0 = 5*b - s + 6*s + 20. Suppose 2*v + v - 30 = b. Solve -4*d - v = -2*d for d.
-5
Let s(y) = y**3 - 14*y**2 - 17*y + 35. Let h be s(15). Solve -a = -h*a + 20 for a.
5
Let g be -14 - (2 + 9/(-3)). Let k = g - -26. Suppose 3*t + 2*t - 8 = q, -t = -4*q - k. Solve -f - 4 - t = 0 for f.
-5
Suppose 0*l - 2*l = -m + 5, -2*l + 2*m = 8. Let c be (l/(-3))/((-7)/(-63)). Suppose -2*v + h = -c*v, 5*h + 8 = -3*v. Solve -2*i + 0*i + v = 0 for i.
2
Let g(t) = -t + 12. Let j = 20 - 14. Let y be g(j). Solve 2*v = -v + y for v.
2
Let a(y) = 31*y - 2. Let g be a(2). Suppose -17 = -4*q - 1, 2*q - 20 = -2*r. Suppose r*d = d + g. Solve 2*f - d = -f for f.
4
Let j(m) = m**2 + 2*m - 2. Let d be j(2). Let h be ((-4)/d)/(4/(-30)). Solve 0 = -l + h*l - 20 for l.
5
Suppose 4 = -a - 7. Let x(q) = q**3 + 11*q**2 - q - 11. Let i be x(a). Solve -v + i*v = -3 for v.
3
Suppose 33 = 12*r - 87. Solve -2*g = 3*g + r for g.
-2
Suppose -5*l = 3*c + 5, 0*c + 5*c = 5*l - 35. Let t(x) = -5*x - 11*x**2 - 2*x**3 + 8 + 5*x**2 + x**3 - 5. Let v be t(c). Solve -2*f - v*f = 5 for f.
-1
Let u(n) be the first derivative of n**4/4 + n**3 - 2*n**2 - 1. Let h be u(-4). Solve 3*f = -h*f - 9 for f.
-3
Suppose 3*u + 3*w = 2*u + 27, -5*w = -5*u + 235. Let m = u + -27. Solve 0*r - m = 3*r for r.
-5
Let p(t) = -2*t**3 - 3*t**2 - 3*t - 1. Let k be p(-2). Suppose 0 = 2*o + o - k. Solve -q + o = -2*q for q.
-3
Let b(h) be the third derivative of 0 - 3*h**2 + 0*h - 7/24*h**4 - 1/3*h**3 - 1/60*h**5. Let i be b(-5). Solve 0*d + i = 2*d for d.
4
Suppose 0 = -5*w - 3*i + 27, 2*w - 5*w + 17 = 2*i. Solve -w*s + 13 = 4 for s.
3
Let a be 2 + (-6 - (-2)/2). Let w = a + 10. Suppose -4*i + w = -1. Solve 3*d - i = -8 for d.
-2
Let u(z) = 2*z - 8. Suppose 2*s + b - 7 = 0, -2*s + b + 8 = -s. Let o be u(s). Solve -o = -0*l - l for l.
2
Let b = 49 - 46. Solve r + b = -2 for r.
-5
Suppose -5*c + 5*t + 3 = -7, -5*t = -3*c - 2. Let f(i) = -6*i**2 + 2 + 1 - 1 + i**3 - 17*i + 20*i. Let z be f(c). Solve -s + z = 3*s for s.
5
Suppose 4*u - 26 = -6. Solve 7*p - 6*p = u for p.
5
Let l(u) = u**3 + 20. Let n be l(0). Solve -3*m = 2*m - n for m.
4
Let y be 1/(-4*(-3)/60). Solve -y*p = -4 - 6 for p.
2
Let m(f) = -f**3 + 4*f**2 - 2*f - 3. Let a = -2 - -5. Let h be m(a). Solve -3*o - o - 8 = h for o.
-2
Suppose -3*d = d + 2*l + 6, 0 = -5*l - 5. Let f = d + 11. Solve -b = -3*b - f for b.
-5
Let x(p) = -p - 4. Let s be x(-6). Solve 4*m = s*m - 2 for m.
-1
Let r(d) = d**3 + 9*d**2 + d + 7. Let s be r(-9). Let l be 0/((0 - -2)/s). Solve l = -3*v + 4 + 11 for v.
5
Let a(f) = 4*f - 3. Let m = -5 + 8. Let b be a(m). Let x = b + -5. Solve x = -n - 1 for n.
-5
Suppose 2*g + 16 = 4*l - 0*g, -2*l + 2*g = -10. Suppose w + 2 = l*w. Solve 2*o + 7 = w for o.
-3
Let m(y) = y**3 - y**2 + y + 5. Let a be m(0). Solve 5*h - a - 20 = 0 for h.
5
Let i(f) = f**2 - 2*f - 2. Let r be (-1*(0 + 5))/(-1). Let l = -2 + r. Let y be i(l). Solve 3*g + 11 = -y for g.
-4
Let p(j) = -j + 15. Let q(o) = -8. Let k(x) = -4*p(x) - 7*q(x). Let i be k(7). Suppose -2*d + i = 2*d. Solve 0 = 3*u - 5*u + d for u.
3
Let j be 18/(-135) - 3/(45/(-302)). Solve 4*l = -l - j for l.
-4
Suppose -3*w + 0*w = -63. Solve 3*d - w + 6 = 0 for d.
5
Let n = -34 + 23. Let m = 17 + n. Suppose -b = 2*b - m. Solve -b*a + 4*a - 4 = 0 for a.
2
Suppose 0 = 5*s - 3*h + 101, -3*h = -2*s - 25 - 10. Let a = 39 + s. Let c = -12 + a. Solve c*b = b + 20 for b.
5
Suppose -4*z = 3*j - 3, 5*z + 6*j = j + 5. | {
"pile_set_name": "DM Mathematics"
} |
m be h(4). What is the least common multiple of (1 - 392/(-20)) + (-4)/m and 153?
1071
Suppose 0 = 7*p - 0*p - 43*p + 2016. What is the least common multiple of 1736 and p?
1736
What is the common denominator of (504/(-32))/(-21) - ((-44807)/(-1848))/37 and (8/(-12))/((-4)/146)?
264
Let l = -24 - -36. Suppose s + 3*u - 407 = 1077, 2*s = -3*u + 2950. Calculate the lowest common multiple of l and s.
8796
Let i = 95/648 + 32/81. What is the common denominator of 0 - -1 - (430/(-96) - -7) and i?
48
Let p be 25/(-20) - 196/(-16). Let g be 6/18 - 14/(-3). Suppose -3*b - g = -p. What is the lowest common multiple of 12 and b?
12
Suppose 0 = 2*d + 5*f - 928, -4*f - 152 - 740 = -2*d. Let m = d + -446. What is the smallest common multiple of ((-18)/(-5))/(3/10) and m?
24
Let o = -3105 - -18685/6. Find the common denominator of o and 103/42 + -5*10/175.
6
Suppose -44 + 60 = -2*v. Calculate the lowest common multiple of (v/1)/(-2)*(-40 - -44) and (-1)/3 - 13/(-3).
16
Let m = -5/3974 + -82453/5961. What is the common denominator of -49/660 and m?
660
What is the common denominator of ((-12)/(-231))/(18/546 - 0) and -8/1309?
3927
Suppose -16 - 16 = 16*n. Find the common denominator of (-995)/(-975) + (-1)/(-10)*n and 48/5.
195
Calculate the common denominator of 51/152 and 13361/2586*-2*6/40.
760
Calculate the lowest common multiple of (-1320)/(-70) + 200/175 and 560.
560
Suppose -84*v = -80*v - 28. Suppose 221*c + v = 228*c. Let q(l) = -l + 2. What is the lowest common multiple of q(-8) and c?
10
Let k = 23 - 909/38. Let z = 93529/6132 + -4/1533. Calculate the common denominator of k and z.
76
Let v = 437 + -437. Find the common denominator of -79/32 and v + (1 - 553/(-28)).
32
Let d = 2653/6 + -8408/19. Calculate the common denominator of d and -8/399.
798
Suppose -25*q - 33*q = -109 + 15 - 138. Suppose w + 155 = 6*w. Let c = w - 9. Calculate the smallest common multiple of q and c.
44
Let w = -20832 + 32768730/1573. Find the common denominator of w and 41/2.
3146
Let a = 11975 - 11927. Calculate the smallest common multiple of a and 2656.
7968
Calculate the common denominator of 50/(-24)*(120/(-75) + -10) and -7/1842.
1842
Suppose -4*p = 4*i - 20, -i + 16 = 3*p - 3. Suppose 2*s = -4*k + 36, 12*s - p*s - 4*k = 90. What is the smallest common multiple of 21 and s?
126
Let b = 276 - 9606/35. Calculate the common denominator of -57/91 and b.
455
Let c = -306 + 62. Let z = -241 - c. Calculate the lowest common multiple of 39 and z.
39
Suppose -3*o + 5*o = 312. Let i = -449070 - -449126. Calculate the least common multiple of i and o.
2184
Suppose 4 = 2*p, -p + 6 = -h - 3*h. Let n(o) = -o + 1 + 0*o - o - 3*o. Calculate the least common multiple of n(h) and 3.
6
Suppose 0 = -4*h + 5*d + 49, h - 13 = -0*h + d. Let o = -44668 - -44678. What is the least common multiple of o and h?
80
What is the common denominator of (6 + 1 + 303/(-45))/(3/120) and -7/858?
858
Suppose 0 = j - 49 - 54. Let b = j - 101. Let r(o) = o**2 - 10*o + 3. What is the lowest common multiple of b and r(10)?
6
Suppose -3*c + 5*k + 12911 = 2653, c - 5*k - 3426 = 0. Calculate the least common multiple of 36 and c.
30744
Let w = 1806638807/156120016 + 2/9757501. Let j = w + -109/13. Calculate the common denominator of 37/202 and j.
1616
What is the common denominator of 40/33 and 4 + 59410/(-3300) + 14?
330
Let t = 65015/298356 - 195/529. Find the common denominator of t and -11/18.
1692
Suppose r = 5*r - 24. Suppose -87*q + 11*q = -6080. What is the lowest common multiple of q and r?
240
Let g be 0*((-7)/(-2) - (-8 + 12)). Suppose 4*m - 4*w = g, -2*w = -m - 2 - 0. What is the least common multiple of 12 and 2 - (m/(-10) - 297/15)?
132
Find the common denominator of 107/100 and -7 - ((-2836)/1320 - -1) - -6.
3300
What is the common denominator of -51/2 and (66/551265)/(2/(-110) + 0)?
6682
Let o = 6488/5 - 350827/270. Find the common denominator of o and 95/12.
108
Let l = -337 - -397. Calculate the common denominator of 1917/36*(-5)/l and (0 - (-73)/(-22)) + 2.
176
Suppose -124*m = -128*m + 23520. Suppose 24*n = -25*n + m. Calculate the least common multiple of n and 135.
1080
Let u = -412 + 424. Let p(w) = 4*w + 10. Let k = 35 + -26. What is the least common multiple of p(k) and u?
276
Let s(k) = -761*k - 8365. What is the smallest common multiple of 1604 and s(-11)?
4812
Let v = 4561263767/2896 - 1575022. Calculate the common denominator of v and -27/3620.
14480
Let i be (6 - 20/(10 - 5))*-1. Let w(q) = 4*q**2 + 2*q - 3. What is the lowest common multiple of (-8)/68 + ((-1625)/(-85) - i) and w(-3)?
189
Suppose 3*t = 4*d + 93, -2*d + 102 = 7*t - 3*t. Let g = t + -25. Suppose 34 = g*f + 22. What is the lowest common multiple of 3 and f?
6
Let i = 298 + -208. What is the common denominator of (-3 - (-55)/25) + (-123)/i and 33/16?
48
Let o(i) = i**2 + 7*i - 20. Let s be o(-9). Calculate the common denominator of s/5 - -3*(-89)/(-480) and 69/2.
32
Let f = 2190277043/60 - 36516289. Let c = f - -11672. What is the common denominator of -47/30 and c?
60
Suppose -20 = -4*b, -5*b + b + 44 = -2*u. Let i = -1743/2 + 903. Find the common denominator of -3 + 0 - (-50)/u and i.
6
Calculate the common denominator of (3/(-16))/(43953/14924) and -91/2.
644
Let y = -80497/12 - -6701. What is the common denominator of y and 83/1974?
3948
Calculate the least common multiple of 231 and (-9)/6 + 182/4.
924
Let p = 105577/60 + -1760. Calculate the common denominator of -93/20 and p.
60
Let c(y) = y + 6. What is the least common multiple of c(-3) and 13420/427 - (-40)/(-28)?
30
Let q(i) = -i**3 + i + 6. Let m be (-4)/((-12)/9) + -3. Let g = -41 - -44. What is the least common multiple of g and q(m)?
6
Let u = 52340 + -3454591/66. Find the common denominator of -97/336 and u.
3696
Let g = 2/491 + 19109/9820. Calculate the common denominator of g and -97/3088.
15440
Let q(o) = 7*o + 129. Let r be q(4). Let x = r - 151. Calculate the lowest common multiple of 76 and x.
228
What is the least common multiple of 1728 and 662 + (13 - 36) + 9?
5184
What is the least common multiple of -5*(-48 + 19 - 26) and 4200?
46200
Find the common denominator of -97/105 and (-24)/(-117)*(23 - 19 - 93/15).
1365
Let m be (39/26)/((-6)/4). Find the common denominator of -33/40 and ((-3827)/(-344))/(7*(m + 0)).
280
Suppose 2*v = -41*s + 46*s + 355, v = -5*s + 140. Calculate the least common multiple of 10 and v.
330
Suppose -80 = 4*y + x - 336, 0 = -4*y + x + 256. What is the common denominator of -17/6 and (-264)/y*12/(-135)?
30
Suppose 9*i = 5*i + 96. Suppose 7*s - 186*s + 23968 = 35*s. Calculate the smallest common multiple of i and s.
336
Let p = -27099923/120 + 225834. Find the common denominator of 42 + (40 - 86) + 1191/198 and p.
1320
Let n = -13884 - -14719. What is the least common multiple of 10 and n?
1670
Let r be ((-136)/204)/((-1)/(-3)). What is the lowest common multiple of (-5)/(20/16)*(-4 - r) and 44?
88
Suppose 4*f + 628 = 5*a, 4*a - 515 = 68*f - 63*f. Calculate the least common multiple of a and 900.
1800
Let g be (-16964)/168 - (-14 - -11). Let t = -848/7 - g. What is the common denominator of t and 87/50?
150
Let a = -6351 - -4248. Let r be (4/(-10))/(190/950). Find the common denominator of (a/(-132) - 4/22)/r and 85/4.
8
Let d = -217/15 + 5669/405. Calculate the common denominator of d and (-219)/81*(-2)/(-6).
81
What is the common denominator of 71/134 and (51/48)/((-123)/(-328))?
402
What is the common denominator of (-45563)/5635 - -7*(-2)/(-2) and 79/555?
3885
Find the common denominator of 93/8 and (12/(-50))/(5/((-5525)/8908)).
5240
Let v = 1/259874 - -18840799/17151684. What is the common denominator of v and ((-2129)/912)/(-1) + 18847/(-893) + 21?
528
Let p = -176229 - -85999833/488. Calculate the common denominator of -7/183 and p.
1464
What is the smallest common multiple of -2*(77/(-14) - -7) - (-25 - 1) and 2?
46
Let g(f) = 3*f**2 + 4*f + 5. Suppose -3*a = -4*x - 84, -4*a + 62 = -396*x + 399*x. What is the smallest common multiple of a and g(-5)?
60
What is the common denominator of -31 + 37 + (-1504)/360 and -23/290?
2610
Let s(c) = -52*c**2 - c + 1. Let x be s(3). Let u be x/(-40) + 1/4. Find the common denominator of (u/72)/((-1)/(-3)) and -151/18.
18
Let i be (0 - 1) + 4 - 246955/160. Let y = i - - | {
"pile_set_name": "DM Mathematics"
} |
be u(5). Suppose 4*q = p*y - q - d, -4*y + 23 = -3*q. What is the units digit of y?
8
Let u(a) = -a**2. Let r be u(0). What is the units digit of (-1)/(r - (-3)/(-15))?
5
Let i = 409 - 182. What is the units digit of i?
7
Let i(g) = -g - 2. Let t be i(-3). Suppose t = a - 0*a. What is the units digit of a?
1
Suppose -6 = -4*z + 2. Suppose 2*u = -5*b + 51, -2*u + 4*u = -3*b + 29. Suppose -b = -3*q - z. What is the units digit of q?
3
Let h = 4 - 3. Let l be (-10)/h - 2 - 1. Let c = 19 + l. What is the units digit of c?
6
Suppose 13*z = 11*z + 52. Let n = z + -4. What is the units digit of n?
2
Let d = 75 - 50. What is the tens digit of d?
2
Let t(r) = r**2 - 7*r + 11. What is the units digit of t(6)?
5
Let i be -54*5/((-45)/6). Suppose -i = -b - b. What is the units digit of 14/b - 2/(-9)?
1
Suppose 0 = -0*j + j + 2. Let d(x) = -21*x + 2. What is the units digit of d(j)?
4
Suppose 5*a - 17 = -4*f, 0 = a + 3*f - 0*f - 10. What is the units digit of 6/a*4/6?
4
Let o(x) = 5*x**2 + 6*x - 2. Let g(k) = 9*k**2 + 11*k - 3. Let v(u) = 3*g(u) - 5*o(u). Let s be v(-2). Suppose 29 = s*f + 11. What is the units digit of f?
6
What is the tens digit of 24/(-36) + (-160)/(-6)?
2
Let x be ((-12)/(-18))/((-4)/534). Let c = 132 + x. What is the units digit of c?
3
What is the units digit of -14*((-100)/(-8))/(-5)?
5
Suppose -55 = -s - 5*f, -s - 5*f + 90 = s. Suppose -3*v + s = -31. What is the units digit of v?
2
Let b(d) = -2*d**3 + d**2 - 2*d + 2. Let n be b(2). Let s = n + 28. What is the units digit of s?
4
Let h = 56 + -28. Suppose 2*u - h = -z, z - 2*z = 4*u - 18. What is the tens digit of (-1)/(3/(2 - z))?
1
Suppose l - 8 = 3*l. Let g(f) = -2*f + 1. What is the units digit of g(l)?
9
Let h be 1 - (2 - (2 + 2)). What is the units digit of h/(-2)*20/(-3)?
0
Suppose -6*j + 40 = -j. What is the units digit of (-25)/(-1) - j/4?
3
Suppose 0 = h - 10 + 3. Let p(q) = 2*q**2 - 8*q - 1. What is the units digit of p(h)?
1
Let f(r) = 6*r - 9. Let x(d) = 6*d - 5. Let y(v) = -v + 1. Let m(a) = -x(a) - 5*y(a). Let t(z) = f(z) + 4*m(z). What is the units digit of t(8)?
7
Suppose l - 31 = 14. What is the tens digit of l?
4
Let l = 62 + -40. What is the tens digit of l?
2
Let x(p) = -3*p**3 - 3*p**2 - p - 3. What is the units digit of x(-3)?
4
Suppose -k - 5*k = -336. What is the tens digit of k?
5
Let t(l) be the first derivative of l**3/3 + 9*l**2/2 + 12*l + 6. What is the units digit of t(-11)?
4
Suppose -w = 2*c + 3*w + 22, 3*w = -2*c - 18. Let m(b) be the first derivative of -b**2/2 - 2*b - 17. What is the units digit of m(c)?
1
Let a(o) = -2*o**3 + 4. Let l be a(3). What is the units digit of 4/(-6) + l/(-30)?
1
Suppose -3*x = -9 - 6. Let a be 3/(-18)*-3*-4. Let b = x - a. What is the units digit of b?
7
What is the tens digit of 7/((-14)/(-102))*(1 - 0)?
5
Let d(u) = u**3 + 7*u**2 - 10*u + 8. What is the tens digit of d(-8)?
2
Let z be (-1 + 3)/(6/9). Let o(q) = q**3 + 7*q - 3 - 5*q + 5*q**2 - z*q. What is the units digit of o(-5)?
2
Let y = 39 - -3. What is the tens digit of y?
4
Let f = -11 + -47. Let y = f + 135. What is the units digit of (-26)/(-22) - 14/y?
1
Let o = 1 + 1. Suppose 5*d - t + 33 = -3*t, o*d - 2*t + 2 = 0. Let s(h) = -h + 1. What is the units digit of s(d)?
6
Suppose 0 + 4 = h. What is the units digit of 2/(h/10 + 0)?
5
Suppose -3*r = -a - 14, 3*a + 7 = 3*r - r. Let w = 17 + a. What is the tens digit of ((-66)/w)/(1/(-3))?
1
Suppose 11*z + 498 = 14*z. What is the units digit of z?
6
Let a be ((-6)/12)/(2/52). Let i = 9 + a. Let g = i - -12. What is the units digit of g?
8
Suppose -2*y + 99 = -141. Suppose 0 = 4*k, -2*n + 0*k - 5*k + y = 0. Suppose 0*d = 4*d - n. What is the units digit of d?
5
Let b(t) = -t + 21. Let l be b(12). Suppose 3*z - 30 - l = 0. What is the units digit of z?
3
Let v(n) = -4*n + 1. Let b be ((-42)/(-12))/((-2)/(-4)). Let k(d) = -d + 6. Let r be k(b). What is the units digit of v(r)?
5
Suppose 3*f = -6 + 27. Let r be 1*(-2 + 0) + -3. Let t = f + r. What is the units digit of t?
2
Let o = -91 - -131. What is the units digit of o?
0
Let w(f) = f - 7*f**2 + 5 + 5*f + 0 + f**3 + 0. Suppose 0 = -t - 5*c - 0 - 4, t = -3*c. What is the units digit of w(t)?
5
Let v(k) = -k**3 + 5*k**2 - 2*k + 2. Suppose -3*p - 10 = -22. Suppose -p*h = h - 20. What is the units digit of v(h)?
0
Let j(t) = -t + 1. Let c be j(1). Suppose 7 = 4*n - o - 20, c = -2*o + 10. What is the units digit of n?
8
Suppose -3*a = -3 - 0. What is the units digit of a?
1
Let r = -5 - -18. Let b(d) = 3*d - 7. What is the units digit of b(r)?
2
Let z(p) = p**2 + 6*p + 7. Suppose 2*i - 20 = 6*i. Let d be z(i). Suppose n = -d + 3. What is the units digit of n?
1
Let a(u) = 25*u + 1. Let o be a(2). Let r = o - 31. Suppose -3*m = 2*m - r. What is the units digit of m?
4
Suppose -5*b = -k - 203, 2*b - k = 3*b - 37. What is the units digit of b?
0
Suppose -30 = -5*g - 10. Suppose g*n - 16 = -4*c, 5*c = c - 20. What is the units digit of n?
9
Let s = 507 - 284. What is the hundreds digit of s?
2
Let g(q) = -q - 1. Let n be g(2). Let r be ((-12)/n)/((-2)/3). What is the units digit of 4/r - (-22)/6?
3
Let a(s) = s**3 - s**2 - 2*s + 391. What is the units digit of a(0)?
1
Let r = -6 - -10. What is the units digit of 12/10*10/r?
3
Let d = 34 - -5. What is the tens digit of d?
3
Let s = -115 - -195. Suppose 4*q + s = 6*q. What is the tens digit of q?
4
What is the units digit of (-3)/1 - 13*4/(-2)?
3
Let j = -9 + 20. What is the tens digit of j?
1
Let u(q) = q**3 + 12*q**2 - 13*q + 12. Let n be u(-13). Suppose -2*b - n = 4. Let y = b - -29. What is the units digit of y?
1
Let o(d) = -d**3 - 9*d**2 + 2*d - 20. What is the tens digit of o(-10)?
6
Suppose -2*n = -2 - 0. Suppose 20 = r - n. What is the units digit of r?
1
Suppose -h + 0 = 2, 2*c = 5*h + 14. Let u be -1*10*(-3 + c). Suppose 4*j = 6 + u. What is the units digit of j?
4
Let x(h) = -h**3 + 19*h**2 - 11*h + 26. Let i be x(18). Suppose 2*s + 4*o = 80, -5*s - 2*o = -4*o - i. What is the tens digit of s?
3
Let p(c) = c**3 + 9*c**2 - 2*c - 2. Let j be p(-9). Suppose 4*v = 5*v - j. What is the tens digit of v?
1
Let l(i) = -i**3 + 14*i**2 + 2. Suppose b - 4 + 5 = 0, 4*d - 4*b - 60 = 0. What is the units digit of l(d)?
2
Suppose 2*z + 142 = 4*n - 0*z, 3*n = -z + 119. What is the tens digit of n?
3
Suppose -q - 4*q = -165. What is the tens digit of q?
3
Let j(v) = -v**2 - 11*v - 6. Let c = -35 - -25. Let m be j(c). Suppose 0 = 5*y + n - 31, -m*y + 7*y - 3*n = 15. What is the units digit of y?
6
Let f(m) = -m**2 - 7*m + 3. Let s be f(-7). Suppose 2*d - s*h = h + 4, d - 7 = -3*h. Suppose 5*q + 20 = d*b - 26, b = 3*q + 15. What is the units digit of b?
9
Let k be (-1)/2 - (-54)/12. Suppose -3*j + 5 + 4 = 0. Suppose -j*l = 5*f - 33, 4*l - k - 6 = -f. What is the units digit of f?
6
Let d(v) be the second derivative of v**4/12 + 5*v**3/6 + 3*v. What is the units digit of d(-6)?
6
Suppose 14 = -5*q - 21. Let j = q - -15. What is the units digit of j?
8
Let z(q) = -q + 1. Let u(m) = -5*m + 11. Let f(w) = u(w) - 6*z(w). What is the tens digit of f(7)?
1
Let h be 1*0/(-1 + 0). Let p be -5*(h - (-2 - -3)). Suppose 5*n - 3*n + 2 = 4*y, 0 = -3*n - p*y + 19. What is the units digit of n?
3
Let c = 9 - 6. Suppose -5*s + s = c*p - 27, -2*s - 2*p = -16. Suppose -2*d - s*d + 2*t = -46, d - 4*t - 2 = 0. What is the tens digit of d?
1
Let u = 388 - 229. What is the tens digit of u?
5
Let v = -121 + 217. What is the units digit of v?
6
Let q be 8*2 + (-6)/6. Let r be 10 + 5/(q/6). Let c = 18 - r. What is the units digit of c?
6
Let u(h) = -h**3 + h**2 - h - 4. What is the tens digit of u(-3)?
3
Let j be (-1 - 3)*(-10)/8. Let g be 5/(-25) + 106/j. Suppose 0*z = -2*z + m + g, 0 = 3*z - 5*m - 35. What is the tens digit of z?
1
Let s = -227 + 398. What is the units digit of s/(-3)*(-1)/3?
9
Let x(j) = j**2 + 5*j + 5. Let c be x(-5). Suppose -4*n = c*s - 37, 3*s - 3*n - 5 = 1. Suppose -40 = -s*l + l. What is the tens digit of l?
1
Suppose 3*b + 22 = -5. Let z = -7 - b. What is the units digit of z?
2
Let a(c) = 3*c. Let v be a(4). Let g be (-2 - -5)*52/v. Suppose -4*l - 25 = -3*n + g, 3*n - 2*l = 46. What is the units digit of n?
8
Let d(r) = r + 3. Let f(u) = -u - 3. Let b(y) = 3*d(y) + 2*f(y). Let w be b(8). Suppose 5*n = 36 - w. What is the uni | {
"pile_set_name": "DM Mathematics"
} |
of a week in minutes?
36288
Convert 0.9193357 days to minutes.
1323.843408
How many months are there in 8.050082 centuries?
9660.0984
How many grams are there in 0.233676t?
233676
Convert 40.24073 nanograms to micrograms.
0.04024073
Convert 81893.88 millilitres to litres.
81.89388
What is 1/4 of a litre in millilitres?
250
Convert 75.11718 days to nanoseconds.
6490124352000000
How many milliseconds are there in 9.83363 minutes?
590017.8
Convert 896427.5kg to micrograms.
896427500000000
How many millilitres are there in 5/8 of a litre?
625
What is 901.6933 grams in nanograms?
901693300000
Convert 123176.457ms to days.
0.0014256534375
How many micrograms are there in 3/32 of a gram?
93750
What is thirteen fifths of a millennium in years?
2600
What is five eighths of a hour in seconds?
2250
How many millennia are there in 1212.504 centuries?
121.2504
What is 67.49239l in millilitres?
67492.39
Convert 0.8063627ml to litres.
0.0008063627
How many micrometers are there in 3/10 of a millimeter?
300
What is 3.995438g in tonnes?
0.000003995438
Convert 22913088.3 milliseconds to days.
0.26519778125
Convert 14796452.79 milliseconds to weeks.
0.024465034375
What is 88.78071ml in litres?
0.08878071
Convert 4824.099 centimeters to nanometers.
48240990000
What is one tenth of a kilogram in grams?
100
What is 816.3799 litres in millilitres?
816379.9
What is 58.6302cm in kilometers?
0.000586302
How many nanometers are there in 17/4 of a micrometer?
4250
Convert 468374.6cm to nanometers.
4683746000000
What is 1/10 of a millennium in months?
1200
How many hours are there in 29/2 of a day?
348
What is 3/32 of a week in minutes?
945
How many nanoseconds are there in 8/25 of a microsecond?
320
What is eighteen fifths of a litre in millilitres?
3600
What is twenty-one quarters of a litre in millilitres?
5250
How many years are there in 37856.64 months?
3154.72
Convert 746.2367 centuries to years.
74623.67
What is 8/25 of a millennium in months?
3840
What is 1/20 of a week in minutes?
504
How many grams are there in 0.2007323 nanograms?
0.0000000002007323
How many months are there in 0.8643597 decades?
103.723164
What is one twentieth of a meter in micrometers?
50000
What is 7/4 of a kilometer in meters?
1750
How many meters are there in 4754.098um?
0.004754098
What is 6/25 of a microsecond in nanoseconds?
240
Convert 297622.9l to millilitres.
297622900
What is 34.38567l in millilitres?
34385.67
What is eighty-one halves of a milligram in micrograms?
40500
How many centimeters are there in 622.3147m?
62231.47
What is 45.6582 decades in millennia?
0.456582
Convert 291262.6 weeks to milliseconds.
176155620480000
How many micrograms are there in 31/5 of a milligram?
6200
What is 3/8 of a litre in millilitres?
375
Convert 9887.014 centuries to years.
988701.4
Convert 8.062911 nanograms to tonnes.
0.000000000000008062911
How many nanograms are there in one quarter of a microgram?
250
How many kilograms are there in three fifths of a tonne?
600
How many kilograms are there in 504.3627t?
504362.7
What is fourty-seven quarters of a decade in months?
1410
What is 155.4391944 nanoseconds in weeks?
0.00000000000025700925
What is fourty-eight fifths of a kilometer in meters?
9600
Convert 0.0669954nm to millimeters.
0.0000000669954
How many millilitres are there in 3/10 of a litre?
300
How many millilitres are there in three fifths of a litre?
600
What is ten thirds of a hour in seconds?
12000
What is thirty-two fifths of a kilometer in meters?
6400
Convert 345.3605 millimeters to micrometers.
345360.5
What is 0.695km in micrometers?
695000000
Convert 2035.605ml to litres.
2.035605
What is 9444.677 milligrams in micrograms?
9444677
What is 15/4 of a century in months?
4500
Convert 0.7821939 litres to millilitres.
782.1939
What is 2.56493 kilograms in tonnes?
0.00256493
What is 25/2 of a century in years?
1250
What is 0.938132 decades in centuries?
0.0938132
Convert 21.632865ms to minutes.
0.00036054775
What is 3/8 of a gram in milligrams?
375
How many nanoseconds are there in 3/5 of a microsecond?
600
What is thirty-three fifths of a centimeter in micrometers?
66000
How many centuries are there in 67917.7 millennia?
679177
What is five quarters of a litre in millilitres?
1250
Convert 10441.074 months to years.
870.0895
Convert 3746.016 weeks to minutes.
37759841.28
How many millilitres are there in eleven quarters of a litre?
2750
How many centuries are there in 5.172924 millennia?
51.72924
What is 93.0831 years in centuries?
0.930831
What is 23827.99mm in meters?
23.82799
How many nanograms are there in 0.3184963 grams?
318496300
What is eighteen fifths of a microgram in nanograms?
3600
Convert 84.47727ml to litres.
0.08447727
How many millennia are there in 5.548446 months?
0.0004623705
Convert 22.925871 months to centuries.
0.0191048925
What is 4132.855 millennia in months?
49594260
How many millilitres are there in 2566.184l?
2566184
How many nanometers are there in 4528.593km?
4528593000000000
What is 7/2 of a kilogram in grams?
3500
What is 13004555.13ns in weeks?
0.000000021502240625
How many microseconds are there in 3/50 of a second?
60000
How many millilitres are there in 313.5093l?
313509.3
What is 7/4 of a litre in millilitres?
1750
What is 11/10 of a hour in seconds?
3960
What is one quarter of a century in years?
25
What is 3/50 of a litre in millilitres?
60
How many nanometers are there in 48/5 of a micrometer?
9600
Convert 0.9468173 meters to micrometers.
946817.3
How many seconds are there in fifty-one halves of a hour?
91800
Convert 75.19473us to hours.
0.000000020887425
How many grams are there in 3/32 of a tonne?
93750
What is 0.2460214ml in litres?
0.0002460214
What is 0.7411069 days in milliseconds?
64031636.16
How many millilitres are there in fifty-nine fifths of a litre?
11800
What is fourty-seven quarters of a day in hours?
282
How many weeks are there in 94180.695 hours?
560.599375
What is 7/8 of a microgram in nanograms?
875
What is 72.81143 decades in months?
8737.3716
What is fourty-seven quarters of a tonne in kilograms?
11750
How many months are there in 5/6 of a decade?
100
Convert 6.530743um to kilometers.
0.000000006530743
How many micrometers are there in 49/4 of a millimeter?
12250
What is three tenths of a kilogram in grams?
300
What is 27/5 of a decade in months?
648
Convert 7.62881g to milligrams.
7628.81
Convert 62161.65ml to litres.
62.16165
What is 1/10 of a millimeter in nanometers?
100000
How many months are there in one fifth of a century?
240
How many millilitres are there in 7/8 of a litre?
875
What is 873.1162 millennia in months?
10477394.4
How many litres are there in 42.07882ml?
0.04207882
What is 79943.02g in kilograms?
79.94302
Convert 735995.2 millilitres to litres.
735.9952
How many grams are there in 0.4707585 milligrams?
0.0004707585
How many kilograms are there in 76.8565 milligrams?
0.0000768565
How many millennia are there in 9.566001 years?
0.009566001
Convert 6499.136 days to seconds.
561525350.4
What is 14.16465l in millilitres?
14164.65
How many kilograms are there in 7.39421g?
0.00739421
Convert 0.8590818l to millilitres.
859.0818
What is six fifths of a litre in millilitres?
1200
Convert 31.8981ml to litres.
0.0318981
How many millennia are there in 0.18523 decades?
0.0018523
What is 27/2 of a litre in millilitres?
13500
How many micrometers are there in 25/4 of a millimeter?
6250
How many millilitres are there in 0.8487154l?
848.7154
How many centimeters are there in 1/5 of a kilometer?
20000
Convert 786808.1 days to seconds.
67980219840
Convert 0.9493422 nanoseconds to minutes.
0.00000000001582237
What is 4.912035 hours in nanoseconds?
17683326000000
Convert 0.0920948 nanoseconds to microseconds.
0.0000920948
Convert 5730.278 micrometers to centimeters.
0.5730278
What is 1/64 of a kilometer in millimeters?
15625
What is seventeen halves of a millennium in decades?
850
Convert 74.98771 litres to millilitres.
74987.71
How many millilitres are there in thirteen quarters of a litre?
3250
What is thirteen quarters of a milligram in micrograms?
3250
What is 33/5 of a kilogram in grams?
6600
Convert 882842.9 meters to centimeters.
88284290
How many millilitres are there in sixty-four fifths of a litre?
12800
Conv | {
"pile_set_name": "DM Mathematics"
} |
e 5) to base 10
-1744
What is -58e (base 15) in base 16?
-4eb
Convert 33111 (base 6) to base 12.
2797
What is 16695 (base 10) in base 3?
211220100
Convert 655 (base 13) to base 14.
576
What is -41916 (base 10) in base 12?
-20310
What is -2051 (base 6) in base 4?
-13033
423a (base 12) to base 13
33b5
1100011001 (base 3) to base 7
136555
1002221 (base 3) to base 9
1087
What is 2522a (base 12) in base 5?
3103214
What is -9898 (base 11) in base 3?
-122220111
Convert -1230322 (base 4) to base 15.
-20ea
What is 2a30 (base 13) in base 9?
8353
b18 (base 12) to base 2
11001000100
Convert 3f35 (base 16) to base 15.
4bdb
-114175 (base 9) to base 3
-10111012112
Convert ca4 (base 14) to base 15.
b16
What is 1032013 (base 5) in base 3?
220100201
What is 340422 (base 5) in base 16?
2ed3
-56a8 (base 14) to base 11
-10337
What is 121544 (base 8) in base 2?
1010001101100100
-816f (base 16) to base 15
-9c40
1c3 (base 16) to base 4
13003
What is 5674 (base 12) in base 9?
14137
Convert 187 (base 13) to base 3.
101101
Convert 3eb (base 15) to base 11.
745
25403 (base 7) to base 10
6716
Convert -111 (base 4) to base 8.
-25
Convert 93 (base 11) to base 10.
102
1acab (base 14) to base 13
25165
What is -1002101 (base 3) in base 6?
-3401
1403 (base 9) to base 10
1056
What is 11310031 (base 4) in base 11?
16996
What is -32 (base 4) in base 16?
-e
12b (base 14) to base 3
22201
1118 (base 9) to base 5
11302
What is -67 (base 15) in base 11?
-89
Convert -5ba (base 16) to base 6.
-10442
What is 37d9 (base 16) in base 12?
8335
What is -14211 (base 6) in base 4?
-202333
What is 3121213 (base 5) in base 15?
1038d
What is -624a (base 12) in base 10?
-10714
Convert 22 (base 15) to base 8.
40
Convert 658 (base 13) to base 10.
1087
What is 503 (base 13) in base 8?
1520
Convert -1600 (base 14) to base 10.
-3920
What is 22003 (base 4) in base 13?
3a6
Convert 54504 (base 7) to base 11.
a268
Convert 1000101111010 (base 2) to base 15.
14d4
Convert 7378 (base 9) to base 7.
21536
What is -33331 (base 4) in base 3?
-1101211
Convert -199 (base 16) to base 15.
-1c4
Convert -3112023 (base 4) to base 14.
-4dd1
What is -1951 (base 10) in base 12?
-1167
Convert -272 (base 14) to base 15.
-22c
What is 1a2 (base 12) in base 4?
10022
What is 30102 (base 9) in base 4?
10310312
27136 (base 11) to base 2
1001011101100111
-4b60 (base 12) to base 15
-2813
What is 2098 (base 11) in base 13?
1350
-10221211 (base 3) to base 12
-1804
What is 1513 (base 10) in base 15?
6ad
223231 (base 4) to base 2
101011101101
Convert 14404 (base 5) to base 8.
2315
-21bc (base 14) to base 7
-23025
-f3e (base 16) to base 9
-5315
Convert 35100 (base 8) to base 12.
8768
Convert 11323 (base 7) to base 13.
1429
What is 1100020000 (base 3) in base 4?
12130212
200 (base 13) to base 10
338
Convert -231333 (base 4) to base 14.
-1103
756 (base 12) to base 2
10000110010
55660 (base 7) to base 12
8174
Convert 370 (base 8) to base 11.
206
Convert 206 (base 14) to base 2.
110001110
What is -40 (base 6) in base 16?
-18
Convert 10113 (base 5) to base 16.
292
10d07 (base 15) to base 9
81417
Convert 22210323 (base 4) to base 9.
65376
-443150 (base 6) to base 2
-1001000010001010
Convert -a141 (base 16) to base 14.
-11089
What is -2227 (base 10) in base 12?
-1357
Convert -110111010000000 (base 2) to base 10.
-28288
Convert 912 (base 14) to base 12.
1044
4226 (base 8) to base 16
896
Convert 34123 (base 9) to base 10.
22701
What is -111021 (base 3) in base 12?
-25a
10730 (base 10) to base 9
15642
c191 (base 14) to base 16
81e3
What is 14242 (base 7) in base 4?
330331
What is b83 (base 16) in base 5?
43242
Convert -215 (base 6) to base 3.
-10002
Convert -5336 (base 7) to base 13.
-b24
-3731 (base 14) to base 4
-2112233
-14968 (base 10) to base 16
-3a78
6a75 (base 15) to base 9
34012
Convert 1121303 (base 4) to base 16.
1673
64 (base 13) to base 11
75
What is -11010120 (base 3) in base 14?
-1152
What is 1722b (base 15) in base 11?
51177
12141 (base 5) to base 13
55b
What is -112b (base 12) in base 15?
-872
Convert 1163 (base 12) to base 6.
13003
1110102020 (base 3) to base 11
1a652
100200313 (base 4) to base 6
1241051
What is -130a (base 15) in base 12?
-2424
What is -2041 (base 10) in base 3?
-2210121
What is -10222 (base 7) in base 10?
-2515
What is 613 (base 14) in base 12?
835
Convert -1021222 (base 3) to base 14.
-4b6
What is -11033103 (base 4) in base 12?
-10503
Convert 341 (base 5) to base 11.
88
-650b (base 12) to base 3
-120020002
Convert 24585 (base 9) to base 6.
204252
Convert -100211 (base 4) to base 16.
-425
What is 28a3 (base 16) in base 9?
15238
2660 (base 10) to base 14
d80
What is -45434 (base 6) in base 8?
-14436
Convert -3256 (base 7) to base 10.
-1168
-530 (base 10) to base 3
-201122
Convert -2722 (base 14) to base 12.
-3ba2
What is 3111 (base 4) in base 16?
d5
-1001100220 (base 3) to base 7
-114201
112021 (base 5) to base 10
4011
What is -2558 (base 14) in base 6?
-50150
What is 23111 (base 4) in base 12?
505
What is a93 (base 13) in base 14?
934
1289 (base 10) to base 12
8b5
13fc6 (base 16) to base 7
460444
What is -48b3 (base 15) in base 16?
-3c6c
Convert 1120121 (base 3) to base 10.
1150
Convert -4d66 (base 15) to base 5.
-1012041
-50200 (base 6) to base 2
-1100110011000
Convert 49bd (base 15) to base 3.
210112121
-244522 (base 6) to base 9
-32805
-24005 (base 6) to base 3
-11202012
1038 (base 13) to base 12
1370
-322a (base 13) to base 6
-52125
What is 10342 (base 6) in base 9?
1858
Convert -442 (base 7) to base 15.
-101
-182a7 (base 12) to base 8
-104237
Convert -101003 (base 5) to base 3.
-11110111
-5775 (base 10) to base 13
-2823
-15045 (base 7) to base 6
-31113
Convert -2d52 (base 15) to base 3.
-111101012
What is 3222 (base 4) in base 6?
1030
-211110222 (base 3) to base 8
-40004
42640 (base 9) to base 15
8569
2434 (base 13) to base 2
1001111111001
-233202 (base 4) to base 15
-d7c
-157 (base 13) to base 10
-241
Convert -313303 (base 6) to base 3.
-1021211010
Convert -24213 (base 5) to base 15.
-808
What is -1110000001 (base 2) in base 3?
-1020020
What is 1020120 (base 3) in base 12?
636
What is 534 (base 15) in base 7?
3265
What is -2373 (base 8) in base 11?
-a5a
What is d0 (base 14) in base 4?
2312
Convert 45c (base 15) to base 14.
507
What is -2132 (base 5) in base 9?
-354
What is -82c6 (base 13) in base 12?
-a564
35b4 (base 14) to base 2
10010010011010
What is -280a (base 11) in base 6?
-24504
Convert 1109 (base 10) to base 4.
101111
-14530 (base 9) to base 6
-113513
-8893 (base 11) to base 2
-10110111000110
What is 723 (base 11) in base 10?
872
-4f (base 16) to base 2
-1001111
What is 30322 (base 5) in base 14?
a02
-7733 (base 15) to base 11
-17a73
What is -12b2 (base 15) in base 9?
-5425
What is -10000110101110 (base 2) in base 10?
-8622
What is -302001 (base 4) in base 12?
-1a29
What is 3231 (base 7) in base 2?
10001111101
What is -2463 (base 16) in base 15?
-2b60
Convert 3111020 (base 4) to base 2.
11010101001000
17178 (base 9) to base 8
27050
Convert 2032 (base 10) to base 16.
7f0
d3 (base 15) to base 8
306
Convert 432 (base 9) to base 15.
188
Convert -35211 (base 6) to base 16.
-13b7
863 (base 15) to base 14
993
What is 2486 (base 16) in base 7?
36155
What is -4c6 (base 13) in base 8?
-1506
Convert 32 (base 15) to base 11.
43
-250 (base 14) to base 4
-13032
2105 (base 10) to base 9
2788
-23635 (base 10) to base 9
-35371
57 (base 12) to base 11
61
Convert 184 (base 9) to base 11.
133
Convert 88a6 (base 13) to base 3.
222011002
What is -221111 (base 3) in base 14?
-372
What is -3223 (base 5) in base 6?
-2010
Convert -3c9 (base 15) to base 5.
-11424
What is -10110 (base 6) in base 10?
-1338
-3007 (base 14) to base 4
-2000233
What is -86 (base 16) in base 4?
-2012
Convert 12376 (base 11) to base 4.
10111111
Convert 114 (base 8) to base 2.
1001100
692 (base 13) to base 11
940
What is 1130201 (base 4) in base 2?
1011100100001
-32359 (base 10) to base 4
-13321213
-4073 (base 8) to base 7
-6100
Convert -19aa1 (base 12) to base 3.
-1220220211
-210212 (base 4) to base 7
-6554
Convert 8c9a (base 14) to base 3.
1020112012
144304 (base 5) to base 9
8453
-20042 (base 8) to base 16
-2022
What is -222212 (base 3) in base 2?
-1011010101
3547 (base 13) to base 7
30565
Convert -10235 (base 7) to base 9.
-3415
What is 7399 ( | {
"pile_set_name": "DM Mathematics"
} |
-24 - 6*w**2 - 3*w**2 + 40 + 2*w**3 in the form p*w + u*w**3 + y + q*w**2 and give y.
16
Express -2*z**2 + 2*z**2 - z**2 - 2*z**2 - 5*z**2 + 3*z**2 + (-3*z + 4*z + 0*z)*(2 - z - 2) - 30*z - 6*z**2 + 30*z in the form x*z + w + t*z**2 and give t.
-12
Rearrange 10 - 22 - 94*l**2 - l + l + 11 to the form d + j*l + t*l**2 and give d.
-1
Rearrange -d + 12*d**4 + d**3 - 1 + 14*d**2 - 15*d**2 - d - 1 to the form c*d + v*d**3 + p + y*d**4 + j*d**2 and give p.
-2
Express (-3*t**4 + 3*t**4 - t**4)*(-2 + 3 + 0) + (4*t**2 - 3*t**2 + 0*t**2)*(3*t**2 - t**2 - 3*t**2) as d*t**4 + i*t**3 + u*t + p*t**2 + j and give d.
-2
Express -2*w**3 + 0*w**3 - 2*w**2 - 3*w**3 + 3*w**2 + 57 - 63 in the form j*w**3 + n + v*w + r*w**2 and give n.
-6
Express 62*r - 26*r**3 + 130*r**3 + 14*r**3 - 65*r as j*r + s + x*r**3 + p*r**2 and give x.
118
Express (81 - 81 - 32*m)*(22*m - 34 + 34 + (0 + 3 - 4)*(2 + m - 2) - m + m + 2*m) in the form y + w*m**2 + x*m and give w.
-736
Rearrange -u**4 + 6 + 0 - 3*u**4 + 11 + 9*u - 11 to l*u**3 + w + f*u**4 + p*u**2 + n*u and give n.
9
Express -2*d**2 - 99 + 102 + d + 2*d**3 + 4*d**2 - 6*d**3 as h + t*d + y*d**2 + q*d**3 and give t.
1
Express 20*p + 35*p - 179*p - 2*p**2 + 2 as k*p**2 + q + i*p and give k.
-2
Express -2*a - 8*a**2 + 57 + 75 - 132 in the form m*a**2 + t*a + f and give t.
-2
Express ((n - 5*n + 2*n)*(-n - n + 3*n) - 2*n + 2*n + 9*n**2)*(7 + 1 + 3) as m*n**2 + u*n + x and give m.
77
Express 11*p + p**2 + 15*p**3 + 1 - 3*p**2 + p**2 + p**2 as h*p**2 + m + j*p**3 + x*p and give m.
1
Rearrange a - 36*a**2 - 3*a**4 + 4*a**3 - 35*a**2 + 74*a**2 to the form i*a**4 + n*a + p + m*a**3 + j*a**2 and give n.
1
Rearrange ((m - 5 + 5)*(0*m + 7*m - m) + 3*m**2 + 4 - 4)*(-m - 3*m + 2*m) + 19 + 3*m**3 - 19 to the form r*m**2 + s*m**3 + q*m + t and give s.
-15
Rearrange -9*z**3 - 32*z**3 - 5*z**4 + 2 - 2192*z**2 + 2196*z**2 + 8*z**4 to the form h*z + m*z**4 + d*z**3 + y + s*z**2 and give d.
-41
Express 6 + 146*s**2 - s + 2*s**4 - 3*s**3 - 147*s**2 + 4*s**3 + 3*s in the form b*s**2 + x*s + z*s**4 + v + a*s**3 and give v.
6
Express (-4 + 0 + 5 + (6 - 1 - 3)*(-2 + 3 - 3) + 1 + 2 - 5 + 27 + 93 + 27)*(s**3 + 0*s + 0*s) as d*s + m*s**2 + y + h*s**3 and give h.
142
Express 11 + 20 + 2*q - 4*q - 32 - 96*q**3 in the form c*q + v + t*q**2 + w*q**3 and give v.
-1
Express -9 - 16 - 55*u + 60*u - 11 + 23 as p + h*u and give h.
5
Express 10*x + 16*x + 0*x + 45*x as q*x + f and give q.
71
Rearrange (-4*j - 3*j - 4*j)*(-2 + 1 - 5)*(-27*j + 7*j + 3 + 6*j) to b*j**2 + p*j + m and give p.
198
Express 8*j**2 + 503*j**3 + 16*j**2 - 2 - 24*j**2 as o*j + s + p*j**3 + q*j**2 and give s.
-2
Rearrange 65*n**3 - 36*n**3 + 4*n**2 - 28*n**3 + 11*n to p*n**3 + y + d*n**2 + l*n and give p.
1
Express -11*v**2 + 10 + v**3 + v + 10*v**2 - 11 in the form u*v + j*v**2 + o + g*v**3 and give o.
-1
Express (-23 + 2*k + 48 - 28)*(-3*k - 2*k + 0*k) in the form m*k**2 + b + d*k and give m.
-10
Express (-2*b + 2 - 2)*(3 - 5 - 4)*(-1 + 2 - 6 + 1 + 0 - 2 + (-3 - 2 + 4)*(3 - 6 + 2)) in the form i + m*b and give m.
-60
Rearrange -539*r**2 + 2 - 2*r - 31*r**3 + 2*r + 539*r**2 to the form s + j*r**3 + y*r + z*r**2 and give s.
2
Rearrange 8*a**2 - 12*a**2 + 43 - 60 + 2*a**2 - 59 to the form m + f*a**2 + r*a and give f.
-2
Express -17*t**2 + 67*t**2 - 16*t**2 + 5*t**3 - 17*t**2 + 1 - 16*t**2 in the form z + g*t**3 + h*t**2 + a*t and give a.
0
Rearrange 238 + 7*j - 238 - 7*j**2 - j to t*j + x*j**2 + n and give t.
6
Express 66*z + 4 - 4 + 5 - 2 - 3*z in the form j + l*z and give l.
63
Rearrange (-a**2 - 3*a**2 - 12*a**2)*(6*a**2 - 9*a**2 - 5*a**2) to k*a**3 + r*a + p*a**2 + v + d*a**4 and give p.
0
Rearrange -165*r**2 - 32*r**4 - 2*r + 5*r + 11*r**4 - r + 17*r**4 to the form p*r**3 + m*r + g*r**2 + i*r**4 + t and give g.
-165
Express -45*u - 60*u - 19*u as p*u + w and give p.
-124
Express 51 + 200*o**2 - 201*o**2 - o - 14 + 2*o as v + d*o + z*o**2 and give d.
1
Express (-3*h**2 + 3*h**2 - 2*h**2)*((4 - 2 - 3)*(2*h - 3*h + 3*h) + 64 - 22*h - 64) in the form l*h**3 + s*h + o + u*h**2 and give l.
48
Express 21214*m + 38*m**2 - 2 - 10606*m - 2*m**3 - 10610*m in the form y*m + b*m**2 + o + n*m**3 and give o.
-2
Rearrange -5*w - 3*w + 5*w**2 - 4*w**2 - 2*w**2 + 2 to the form q*w + t*w**2 + p and give q.
-8
Rearrange -5*d - 1243*d + 306*d to the form w + a*d and give w.
0
Express (-13*n**2 + 5 - 4 - 69*n**2)*(3*n**2 + 2*n**2 - 3*n**2) in the form o*n + l*n**4 + y + d*n**3 + k*n**2 and give k.
2
Rearrange -14 - 16 + 7 + l + 7 - 20 to the form m*l + i and give i.
-36
Express -18*x**3 + 3*x**4 + 19*x**3 - 7*x**3 - 6*x**2 as c*x**3 + m + b*x**4 + o*x + w*x**2 and give w.
-6
Rearrange 6*v**3 + 77 - 4*v**3 + 75 - 150 - 3*v**2 - v to c*v + j*v**3 + l + x*v**2 and give c.
-1
Express -126*s**3 + 252*s**3 - 132*s**3 - s**4 - 6*s as u + c*s**2 + t*s**4 + f*s**3 + o*s and give t.
-1
Rearrange -155*j + 1 - 148*j + 362*j - 1 to s + p*j and give p.
59
Rearrange (2*y - 88 + 88)*(37 - 55 - 29) + 0 + 0 - 2*y to j + i*y and give i.
-96
Rearrange 1470*j**3 + 3*j**4 - 2*j**2 + j**4 + 21*j - 1472*j**3 - 7*j**4 to k*j + u + x*j**3 + l*j**4 + m*j**2 and give x.
-2
Rearrange (-g**2 - 3*g**2 + 2*g**2)*(g + g**2 - g) + 238*g - 199*g - 751*g**4 + 752*g**4 to u*g**2 + n*g**3 + t + a*g + f*g**4 and give a.
39
Rearrange (-5 + 3 + 3)*(23*j - 10 + 6 + 1 + (-3 + 1 + 1)*(-2*j - j + 2*j) + 4*j - 2*j + 0*j) - 1 - 6*j + 1 to the form y*j + h and give h.
-3
Express -25*w - 20*w + w + 18*w - 2*w**2 in the form r*w**2 + q + x*w and give x.
-26
Express -21*r + 231*r + 47*r + 4 - 4 - r + (-4 + 2 + 0)*(-r - r + 4*r) as z*r + d and give z.
252
Express (-1515*t - 130*t**2 - 132*t**2 + 260*t**2)*(-1 + 1 + 2*t) as p*t**2 + a*t + g + h*t**3 and give p.
-3030
Rearrange 12*x**2 - 10*x - 21*x**2 - x**4 + 11*x**2 - 2*x**4 + 2*x**4 + 2 to r*x**3 + j + u*x**4 + o*x + k*x**2 and give j.
2
Express (34*h**2 - 18*h**2 + 34*h**2)*(0*h**2 - 5*h**2 + 4*h**2) - 19*h**2 + 19*h**2 - 1 + 7*h**4 in the form d*h**2 + m*h**3 + r*h + i + p*h**4 and give p.
-43
Express (-237*k + 13 - k**2 + 237*k)*(0*k**2 - 8*k**2 + 2*k**2) + (-4 + 2*k + 4)*(-2*k**3 + 3*k**3 + k**3) as o*k**3 + w*k**2 + d*k**4 + x*k + a and give w.
-78
Rearrange (-776 + 146 - 577 + 38)*(j**2 - 4*j**2 + 4*j**2) to the form i*j + t + b*j**2 and give i.
0
Express -2*d**4 + 2*d**3 - 192*d**2 + 12*d**3 + 195*d**2 + 2 - 4*d**3 in the form a + n*d + j*d**4 + h*d**2 + f*d**3 and give j.
-2
Rearrange 57*a**4 - 31*a**4 + 3*a**3 + 46*a**2 - 29*a**4 + (-2*a + 2*a - a**3)*(2*a + a - a) to n*a + y*a**4 + w + f*a**3 + g*a**2 and give g.
46
Rearrange 46*f - 52*f + 101*f to k*f + d and give k.
95
Rearrange -3*z**4 - 3*z**4 - 3 - 3*z**3 + 0*z**4 - 2*z**4 to the form r*z**2 + a*z**3 + t*z**4 + n*z + v and give r.
0
Rearrange (0*g + 6*g + g)*(-1 + 3 + 1)*(-31 - 29 + 60 + 213*g) to the form f*g + n + c*g**2 and give c.
4473
Express (6 + 6 + 6)*(-2*k - 5 + 5)*(-4 + 3 + 8) in the form p + o*k and give o.
-252
Express -5*b**2 - 2*b**3 + b + 3*b**4 - 7*b**2 + 10*b**2 - 5*b**4 in the form i + v*b**4 + h*b**3 + l*b**2 + a*b and give a.
1
Rearrange 2254*q + 4 - 3 + 3*q**2 - 2252*q to the form l*q + s*q**2 + t and give t.
1
Rearrange (-2 - 3 + 3 + 2*a)*(-2 - a - 6 + 5) to v*a + o + x*a**2 and give x.
-2
Express 7 + 26 + 14 - 14 + 2*k**3 as j*k + a*k**2 + o + r*k**3 and give a.
0
Express 102 - 12*h + 13 - 10 - 31*h + 40*h as s*h + g and give g.
105
Rearrange 4*c**4 - c**4 - 2*c**4 + (5 + 3*c - 5)*(-22*c + 22*c - 6*c**3) - 3*c**2 - c**4 + 3*c**2 to the form n*c**3 + p*c**2 + i + d*c + u*c**4 and give u.
-18
Rearrange (0*y + y - 4*y)*(-4 + 0 + 6)*(2*y + 0*y - 3*y) to the form h + k*y**2 + b*y and give b.
0
Rearrange -67*f - 33*f - 75*f + 2*f to x*f + g and give x.
-173
Express 18*c**2 - 17*c**2 + 184*c - 96*c + 1 - 11*c**3 - 87*c in the form t + y*c**2 + j*c**3 + z*c and give y.
1
Rearrange (22 - 22 + m)*(-m**2 + m**2 - 2*m**3) - 40*m**3 + 10*m**3 + m**4 + 19*m**3 to the form q*m**3 + b + j*m**2 + o*m**4 + s*m and give o.
-1
Rearrange (-171 - 169 - 310 - 2034 - 457)*(-3*w - 4*w + 5*w) to q + k*w and give k.
6282
Express -21 + 20 + 865*n - 50 - 895*n as f + v*n and give f.
-51
Rearrange -9*m**3 + 0*m**3 + 1 - 4*m**3 + (-m - 2*m + 4*m)*(-m + m - m**2) to y*m**2 + f*m**3 + c*m + l and give f.
-14
Rearrange 37*k - 464*k**2 - 39*k + 457*k* | {
"pile_set_name": "DM Mathematics"
} |
76
What is the common denominator of 46/245037 and 31/23072?
54888288
Calculate the smallest common multiple of 208845 and 496314.
42186690
Calculate the common denominator of -71/35776 and -7/4584320.
197125760
Calculate the lowest common multiple of 1170 and 4333500.
56335500
Calculate the common denominator of -75/7984 and 75/136022.
542999824
Find the common denominator of -129/546650 and 81/3498560.
17492800
What is the smallest common multiple of 726117 and 261519?
129974943
Calculate the smallest common multiple of 985230 and 6896610.
6896610
Calculate the least common multiple of 291950070 and 175170042.
875850210
Calculate the smallest common multiple of 126960 and 40690680.
81381360
What is the least common multiple of 33000336 and 40?
165001680
Calculate the common denominator of 103/270384 and 17/28638.
30012624
What is the least common multiple of 11 and 133474?
133474
Calculate the least common multiple of 2027866 and 3.
6083598
What is the lowest common multiple of 33 and 1312335?
14435685
Calculate the common denominator of -73/8442 and 111/1909768.
17187912
Find the common denominator of 25/100277 and 47/34717.
23364541
What is the smallest common multiple of 752 and 436348?
1745392
Calculate the smallest common multiple of 1186383 and 539265.
5931915
Calculate the common denominator of 131/94272 and 23/7274656.
43647936
Calculate the smallest common multiple of 63 and 434217.
1302651
What is the common denominator of 25/2134 and -169/3894?
377718
What is the least common multiple of 2314465 and 85?
2314465
What is the least common multiple of 1567785 and 1215721?
346480485
What is the smallest common multiple of 5171584 and 1454508?
46544256
What is the smallest common multiple of 6449408 and 4130?
32247040
Calculate the lowest common multiple of 59079009 and 316878321.
3485661531
What is the common denominator of -99/3296482 and -31/10332?
59336676
What is the lowest common multiple of 21999104 and 515604?
65997312
Calculate the lowest common multiple of 20052 and 4352.
21816576
Calculate the common denominator of -53/19855737 and 37/6618579.
19855737
Calculate the smallest common multiple of 16 and 15715980.
62863920
Find the common denominator of -1/110483 and 89/272085.
18229695
Find the common denominator of 53/3762792 and -32/2351745.
18813960
Calculate the lowest common multiple of 869728 and 3044048.
6088096
Calculate the common denominator of 37/5028361 and -27/18824.
40226888
What is the least common multiple of 771640 and 10802960?
10802960
Calculate the common denominator of -131/3012 and 65/4738.
7135428
Calculate the lowest common multiple of 154 and 4982652.
383664204
What is the smallest common multiple of 156080 and 15139760?
15139760
What is the least common multiple of 738756 and 84?
5171292
What is the lowest common multiple of 2611518 and 4536?
282043944
What is the least common multiple of 72 and 4794?
57528
What is the least common multiple of 335868 and 27?
3022812
What is the least common multiple of 4685562 and 4016196?
28113372
What is the lowest common multiple of 10 and 2444205?
4888410
What is the common denominator of -29/271827488 and -7/101935308?
815482464
Calculate the least common multiple of 41225765 and 683536.
659612240
What is the common denominator of 25/48 and -139/1164924?
4659696
What is the least common multiple of 110 and 1081263?
118938930
Calculate the smallest common multiple of 128 and 1626816.
3253632
Find the common denominator of 62/633093 and -47/11085.
2339278635
What is the lowest common multiple of 4212864 and 37398?
1141686144
What is the least common multiple of 64673332 and 20?
323366660
What is the common denominator of 143/1026186 and 59/25361454?
177530178
What is the least common multiple of 56 and 3192952?
3192952
Calculate the lowest common multiple of 9832226 and 4867022.
3411782422
What is the least common multiple of 182574 and 15397074?
46191222
What is the smallest common multiple of 5541056 and 64?
5541056
Calculate the smallest common multiple of 710622 and 72039.
41926698
What is the lowest common multiple of 16884540 and 228?
16884540
What is the least common multiple of 2130525 and 1657075?
14913675
Calculate the common denominator of 49/680 and -11/1992808.
9964040
What is the least common multiple of 105541216 and 7100?
2638530400
Find the common denominator of 31/12 and 1/2114804.
6344412
Calculate the common denominator of 56/26560885 and 53/650.
265608850
What is the least common multiple of 62342 and 209546?
6531758366
Calculate the lowest common multiple of 2189055 and 132.
8756220
Calculate the common denominator of -109/18 and 25/68463363.
410780178
Calculate the common denominator of 27/322712 and -14/2813.
31303064
Find the common denominator of -89/12210492 and 1/47097612.
329683284
Find the common denominator of -55/23708151 and -31/1179510.
237081510
Calculate the smallest common multiple of 678 and 1662898.
563722422
Find the common denominator of -37/85475670 and -13/7174965.
1965940410
Calculate the common denominator of -53/233810 and 19/28840.
6546680
Calculate the least common multiple of 666858 and 444572.
1333716
Calculate the least common multiple of 107968 and 21566608.
86266432
What is the lowest common multiple of 6392828 and 952?
1521493064
Find the common denominator of -40/489879 and -11/7021599.
21064797
What is the common denominator of -18/9245 and -64/39775?
1710325
Calculate the common denominator of -89/529000 and 71/40.
529000
Calculate the common denominator of -37/80 and 67/117918.
4716720
Calculate the common denominator of 49/164109080 and 67/3620.
164109080
What is the smallest common multiple of 187 and 30899?
525283
What is the common denominator of -64/16769085 and -19/21?
117383595
What is the smallest common multiple of 3 and 94013721?
94013721
Find the common denominator of -43/242220 and 115/636.
12837660
Find the common denominator of -193/12159378 and 47/252153.
109434402
What is the smallest common multiple of 7936400 and 1587280?
7936400
What is the common denominator of 71/998322 and -59/575955?
14974830
Find the common denominator of -155/1632 and 37/134645712.
269291424
What is the lowest common multiple of 392 and 110691?
885528
Calculate the lowest common multiple of 16820520 and 10.
16820520
What is the lowest common multiple of 3360 and 408147936?
2040739680
Calculate the common denominator of -29/21840 and 48/325.
109200
What is the smallest common multiple of 648 and 9156?
494424
Calculate the common denominator of 47/12 and 97/117233648.
351700944
Find the common denominator of 133/733752 and 70/711.
733752
What is the smallest common multiple of 3560 and 660780?
117618840
What is the smallest common multiple of 11527 and 2939385?
2939385
Find the common denominator of 8/28971 and -85/22929048.
664942392
What is the smallest common multiple of 179392200 and 170040?
179392200
Find the common denominator of 53/5472 and 149/69720.
15896160
What is the common denominator of 37/330 and -1/2822490?
2822490
What is the smallest common multiple of 189 and 4549377?
40944393
Calculate the lowest common multiple of 1189 and 1738318.
1738318
Calculate the lowest common multiple of 3378308 and 7601193.
30404772
What is the smallest common multiple of 81012 and 61458?
829805916
What is the smallest common multiple of 7152 and 109212?
65090352
Find the common denominator of 85/2381596 and 37/1078.
26197556
Find the common denominator of -1/34380 and 67/300.
171900
Calculate the smallest common multiple of 9709 and 166047.
230307189
What is the lowest common multiple of 237352 and 83132538?
332530152
Calculate the common denominator of -31/1611771 and -40/639.
4835313
What is the common denominator of 163/3960 and 97/14189520?
468254160
Calculate the common denominator of 1/20110 and 19/80440.
80440
Calculate the common denominator of -107/492 and -49/42302775.
169211100
Find the common denominator of -11/30576 and -61/109746.
6145776
Calculate the common denominator of 145/1861164 and 86/5643.
20472804
What is the smallest common multiple of 2388 and 24037608?
24037608
What is the common denominator of 131/70 and -52/3351397?
33513970
Calculate the common denominator of 99/206825650 and 51/14338.
206 | {
"pile_set_name": "DM Mathematics"
} |
-2. Let c be (-534)/(-27) - (-2)/d. Suppose -c = g - 5*g. Solve -3*p + 2*x = -17, g*p + 0*p - x - 26 = 0 for p.
5
Let n(b) = -b**2 + 7. Let t be n(-3). Let q(x) = -2*x**3 - 2*x**2 - x - 2. Let j be q(t). Solve -3*w + 9 = 0, -j*p - w = -3*p + 17 for p.
-4
Suppose -17*h = -22*h + 65. Suppose 125 = h*s - 18. Solve -4*y = -b - s + 2, b = -y + 1 for y.
2
Suppose -5*y = -4*b - 21, -y + 8*b - 12*b = -9. Solve 2 - 19 = 3*k + 2*f, -k = -2*f - y for k.
-3
Let j(t) = t**3 + 22*t**2 + 21*t + 2. Let l be j(-21). Solve 0 = -l*z + 3*k - 12, 5*z = -k - 2*k - 9 for z.
-3
Let o be (12/10 - 0)*455/182. Solve -o*n + 6 = h, -h + 6*n - 4*n + 1 = 0 for h.
3
Let a(t) = t**2 - 6*t - 50. Let c be a(11). Solve -40 = c*l - 2*z + 5*z, -4*z = -2*l + 10 for l.
-5
Suppose 30 = 113*p - 103*p. Solve 4*m - 3*n + p = -0, -3*m - 3*n = -24 for m.
3
Let o = -31 - -61. Let r be (-63)/42 - o/(-4). Solve -1 + r = -i + 5*z, 10 = -2*i - 5*z for i.
-5
Suppose -2*s + 11 = 3. Suppose -4*t - s = -12. Solve t*d - 18 = 3*f, 0*f + 10 = 2*d - f for d.
3
Suppose 4*t = j + 9, -j + 4 = 2*t - 5. Solve -4*h + 7 = -a, -a = -2*h - 0*a + t for h.
2
Suppose -22*u - 106 = -75*u. Solve t = -5, -6*m + u*m + 25 = -t for m.
5
Suppose 24*r = 91 + 77. Solve r = 4*g + 2*y - 11, 2*g = y + 7 for g.
4
Suppose 0 = -47*v + 51*v + 136. Let w = v + 39. Solve -q - w*s + 23 = 0, -3*q - 4*s + 19 = s for q.
-2
Suppose 0 = -4*q + 6*q - 10. Suppose 0 = -t + 2*w + w - 1, t = 4*w - 6. Suppose -n = -0 - t. Solve 3*r + i = 5*i - n, -4*r - 17 = -q*i for r.
2
Suppose -5*f - z + 2 = 0, 5*f - 2*f - 6 = z. Solve -5*x + 5*d = 21 - 56, -x - f = d for x.
3
Suppose -78*h - 15 = -83*h. Solve -h*a - 5*y = 22, -4 = y + y for a.
-4
Suppose n = -0 + 5. Suppose 0 = -5*j - 0*j - 220. Let b = -42 - j. Solve n = 5*m - 5*u, -2*m + 3*u = b*u - 2 for m.
1
Let y(q) = q**3 - 7*q**2 + 2*q - 9. Let j be y(7). Suppose -5*i + d - 3 = -6*i, i - d = j. Solve -5*a = -m - 8, -8 = -i*a - 0 for m.
2
Let q(c) = -c**3 - 15*c**2 - 13*c + 19. Let w be q(-14). Suppose -y = w*i - 76 - 3, -i = 4*y - 12. Solve 0 = -3*h - 2*o + i - 4, 0 = h - o - 4 for h.
4
Suppose -13*u + 2 = -12*u. Suppose 0 = -4*r + u*r + 2*m, -4*m = 4*r. Solve r = -4*h - s + 14, -3*h = 2*h - 4*s - 28 for h.
4
Suppose t - 2*y - 3*y - 14 = 0, t + 5*y + 6 = 0. Suppose -2*k = -7*k + 85. Solve -4*z + 3*z - t*q + k = 0, 0 = -4*z + 2*q + 14 for z.
5
Let c = -42 + 78. Let d be 2/8 + 135/c. Solve g + 1 = 2*i + 6, 0 = -4*i - d for g.
3
Suppose -2*p + 3*h = -16, 39*p - 36*p = -3*h + 9. Suppose 2*a - a = 0. Suppose -3*g + 21 = -0*g. Solve p*y + 3*n - 2 - 1 = a, 5*y + 2*n - g = 0 for y.
3
Let l be 116/28*5 + 4/14. Solve 0 = 3*s - v - 10, -3 - l = -5*s - 2*v for s.
4
Suppose 0 = 2*q - 6*n + 4*n + 2, -32 = -4*q - 5*n. Suppose -4*d + 5 = -q*d. Solve -z + 7 = -2*u, -z + 4 = -d*z for u.
-4
Let s = -14 - -13. Let p = s + 7. Solve 5*k = -4*b - 16, 2*k - b = -2 + p for k.
0
Suppose a + 6 = 2*d, 95*d = 100*d + 4*a - 2. Solve -2*i - 3*y = d, -5*y = -i + 13 + 12 for i.
5
Let v be 1*25*(-8)/(-20) - 6. Let m be 22/6 + (-2)/3. Let d(f) = f - 5. Let r be d(5). Solve -p + v*w - m = r, -5*p = 5*w - 5 - 5 for p.
1
Suppose 4*u - 5*q = -89, -3*q - 102 = -0*u + 5*u. Let f = 23 + u. Suppose -5 = -f*d - 1. Solve -5*y - 22 = -j, -d*j = y - 0*y for y.
-4
Let d = -46 + 50. Suppose 2*i = -3*h + 12, -d*h - h + 21 = 3*i. Solve 4*j = 5*s - 2, 4*j - h = 2*j - s for j.
2
Let p = -33 - -41. Let c be p/(-12)*(-6)/1 + -2. Solve 5*h - 3*b - 5 = 0, 5*h = 4*b + 3 + c for h.
1
Suppose -57 = -5*l + 3*s, l + 5*s + 43 = 5*l. Let k = l - 9. Suppose -4*m = m. Solve -3*w + m - 3 = k*p, 4*w = 4*p + 36 for p.
-5
Let t = 524 + -556. Let f be 0*(-2)/(-4) + -1. Let i be 3*f - (t + 9). Solve -5*x + i = 3*w, -2*x - 16 = -6*x + 2*w for x.
4
Suppose -95*g + 3 = -92*g. Let m be (g - (-16)/(-12))*(-3 - 63). Suppose 5*y = -4*z + 25, y - 11 = -2*z - 0*y. Solve -15 = -d - 5*l + 7, -3*l = z*d - m for d.
2
Let z = 0 - -17. Suppose -4*c - 99 = -37*c. Let i be 0 - -3 - -1 - -5. Solve q = -0*s + c*s + z, 2*q - i = s for s.
-5
Suppose -5*g - 3*x = -50, -2*x - 7 - 4 = -3*g. Let l(q) = -q**2 + 7*q + 5. Let o be l(g). Solve -a = -5*d + a + 22, -o*d + 19 = a for d.
4
Let w = -256 - -260. Suppose 20 = -3*l + 2. Let b be 2/l + w/12. Solve -j + 5*j - 5*n - 33 = b, -5*j + 15 = -n for j.
2
Suppose 16 = 2*f + 6*f. Suppose -f*r + 30 = 4*r. Solve r*s = -c + 5, 0 = -2*c + 5*c + 4*s + 7 for c.
-5
Let l(i) = -20*i + 63. Let r be l(3). Solve -3*q + 34 = 5*t, -7 = -r*t + 8 for q.
3
Suppose -4*r + 44 = 4*p, -5*r - 2*p + 25 = -7*p. Suppose -r = -15*u + 13*u. Solve -2*s + s + 3 = 0, u = 4*f - 4*s for f.
4
Suppose -49*v + 19 + 128 = 0. Solve r - 5*o = 15, -v*o + 2*o + 6 = -2*r for r.
-5
Let f be 532/36 - (-4)/18. Let y(g) = -g**3 + 16*g**2 - 15*g + 3. Let r be y(f). Solve l - 5*u = -29, r*l = 7*l + u + 11 for l.
-4
Suppose 0 = a + 5*w + 17, -118*a - 36 = -120*a + 4*w. Solve -u = a*s - 5*s - 12, -3*u = 5*s - 16 for u.
-3
Suppose -3*r - 9 = 2*v, -4*r - 21 - 11 = -4*v. Solve v*i + 18 = -2*f, -3*i - 2*i = 4*f + 32 for f.
-3
Let o = 35 - 18. Let p = -10 + o. Suppose x + 3 + 17 = 4*j, -x + 4 = 0. Solve 3*v - j = 4*t + v, p = -5*t + 2*v for t.
-1
Suppose 261 = -3*n + 48. Let m = n + 72. Solve -5*l - m = 2*q, -q + 3*l - 6 + 0 = 0 for q.
-3
Let t = 17 - 11. Suppose -1 = -2*y + 5, 3*j + t = 4*y. Solve 2*m + 2 = d, 4 = 3*m + j*d - 0 for m.
0
Let k be (-26)/(-10) + 8/20. Let y(t) = -t**2 - 8*t - 13. Let j be y(-4). Solve -23 = i + k*s - 8, 0 = -j*s - 15 for i.
0
Let t be 1 + 0 - 1 - -4. Suppose 0 = 5*b + 3*d - 34 - 29, 4*d - 40 = -3*b. Solve -4*k - k + 3*j - 9 = 0, b = 5*k + t*j for k.
0
Let h be (-4)/14 + 240/105 - -3. Solve w = 4*w - 4*n + h, -10 = 3*w - 5*n for w.
5
Suppose 0 = -5*k + 4*h + 23, 4*k - 4*h = -2*h + 16. Solve -k*p - 2*p - c + 29 = 0, -3*p + 3 = -3*c for p.
5
Suppose 4*m - 4*i - 8 = 0, 2*m - 2*i = 2*i + 2. Let j(y) = -y + 5. Let t be j(9). Let f be (-45)/6*t/6. Solve -5 = -3*g - b + 7, f*g - m*b = 6 for g.
3
Let c(m) = m**2 - 2*m**2 + 2 - m**2 - 2*m + 5*m**2. Let a = 9 - 8. Let v be c(a). Solve 3*f + v = 0, z - 5 + 2 = f for z.
2
Let f(c) = -c**2 - 11*c + 14. Let o be f(-12). Let y(p) = p**2 + p - 7. Let w be y(3). Solve -5*a + a = -o*i - 10, w*a + 2*i - 35 = 0 for a.
5
Let c be (-129)/(-27) + (-2)/(-9). Solve 0 = -3*z - 6, -11 = c*i - z + 7 for i.
-4
Let b(v) = 2*v**3 - 2*v**2 + 2*v - 3. Let q be b(2). Let w be 34/q + (-6)/(-27). Solve 0 = -j + 5*g + 30, 18 + 27 = w*j - 5*g for j.
5
Suppose 5*y - 20 = -k, 4*y = 5*k - 3 + 19. Solve k = 2*l - 2*f, 0*l = -2*l - 2*f for l.
0
Let i = 1 - 1. Let w(x) = 24*x**2 - 12*x + 12. Let a be w(1). Suppose -2*j = -i*j - a. Solve 2*d + j = -0*f + 2*f, -3*f + 2 = 5*d for f.
4
Let w(d) = 28*d + 105. Let a be w(-3). Solve 0 = -5*u - 2*q - 12 - a, -u - 13 = 2*q for u.
-5
Suppose 9 + 7 = 4*i, a - 13 = -2*i. Suppose -k = -0*t + 3*t - 38, -a*t + 5*k + 50 = 0. Suppose 13 + t = 5*r. Solve -3*l = 9, r*v + l - 9 = -l for v.
3
Suppose -c + 2*r + 12 = 0, -r - 12 - 3 = -5*c. Suppose -7*z = -8*z + c. Suppose 5*p = -15, 5*p + 73 = 2*w + 22. Solve -6*o + o - 27 = z*t, 2*t - 4*o = w for t.
-1
Suppose -2*p + 12 = -0. Suppose -y - p*y + 28 = 0. Solve q + 3*t = -2*t - 8, 8 = -y*q + 4*t for q.
-3
Let x be 68 + 5/15*15. Let a = 74 - x. Solve f - 4 = 3*u, -3*f + 3*u = 5 + a for f.
-5
Let c be -2 - 1 - (-6 - -2). Let y be 1/2 - (c + 3/(-6)). Solve y = 4*i - i - 4*h - 11, 23 = 4*i + 3*h for i.
5
Let c(w) = -2*w - 6. Let p be c(-5). Suppose -8 - 12 = -4*m. Let y be 2/m + 6/(-15). Solve -2*a - d = y, 18 = 5*a - p*d - 8 for a.
2
Let o = 202 - 198. Solve -o*b - 13 = -3*m, b + 4*m = 4*b + 15 for b.
-1
Suppose -4*c - 15 = -7*c. Suppose c*u + 2*t + 2 = u, -5*u - 9 = -4*t. Let b be 0 + (u - (-3 - 0)). Solve 5*r - 5 = 5*z, -5*z - 2 - 3 = -b*r for r.
0
Let p(o) = -o**3 + 8*o + 6. Let g be p(3). Solve -c + 4*c + g*i - 9 = 0, c + 5*i - 19 = 0 for c.
-1
Suppose 5*n = -2*t + 55, 2*n - 4 = -3*t + 18. Solve 0 = 2*x + 5*v - n, -4*x + 7*v - 17 = 4*v for x.
-2
Let l(g) = g + 30. Let z be l(0). Let c = 34 - z. Solve 2*d - 11 = d + 3*n, 0 = 4*d + c*n + 4 for d.
2
Let r(t) = -t**2 - 16*t + 5. Let w be r(-16). Suppose -x + 10 = w*y, y + 4*x - 2 + 0 = 0. Solve 0 = y*k - 3*a + 6, -15 = 5*k + 3*a - 0*a for k.
-3
Let z = 38 - 32. Solve 0 = 4*h - 3*t, z*h - 2*h - 20 = -2*t for h.
3
Let c(q) = -6*q - 41. L | {
"pile_set_name": "DM Mathematics"
} |
-33?
5
Evaluate 7 - (1 + (-1 - 2) + 7 - 1).
3
Evaluate 5 + (22 - (2 + 15)).
10
Evaluate 16 - (-25 - (-36 + 21)).
26
Calculate -16 + -10 + 96 - 36.
34
Evaluate 0 + 6 + (-36 - -35) - 3 - -2.
4
What is 76 - 77 - (-1 - -2) - (-15 - 1)?
14
Calculate 15 + -11 + -36 + 17.
-15
-3 - -4 - (-9 + 0 - 8)
18
What is 17 - (-15 - (9 - (19 - 6)))?
28
Evaluate 1 + -3 + (0 - 0) + -14.
-16
Calculate 17 + (-25 - (10 - 21)).
3
Calculate -3 + -11 - -24 - 3 - -3.
10
Calculate (64 - -3) + -57 + 22.
32
-7 - 4 - (-7 + -14) - 9
1
What is the value of (-11 - (-11 + 5)) + 18?
13
1 + 4 + 2 + -4 + 4 + 0
7
What is the value of 197 + -242 + (1 - -26)?
-18
What is -10 + 5 + (20 + -38 - -30)?
7
10 - 2 - (4 - (6 + -6 - -5))
9
What is -2 + 12 + -2 + -3 + (-2 - 4)?
-1
(-19 + 7 - -6) + 21
15
What is -97 + 107 - (0 + -5)?
15
What is the value of 2 - (-16 - -14 - (-1 - -13))?
16
43 + -46 + 0 + -1
-4
Calculate (1 - -6) + ((-5 - -1) + 10 - 11).
2
(-9 - 5) + 18 + -13
-9
Evaluate 18 - (-11 - -9 - -9).
11
Calculate -4 + 6 + 9 + -14 + 9 + -8.
-2
(6 - 1) + (-10 - -1 - (-11 + -5))
12
What is the value of 12 + -28 + -10 + 39?
13
Evaluate -2 + (-6 + (-5 - -1) - -17).
5
-12 - -1 - (-1153 - -1126)
16
What is (0 - -2 - (-63 + 53)) + -2 + 3?
13
What is 0 + (12 - (-12 + 8)) + -10?
6
What is the value of -9 + 0 - (18 + -8 + -12)?
-7
What is (12 - 1) + (-41 - -81) + -38?
13
Calculate 33 - 25 - (19 + -7).
-4
What is the value of 26 - ((-9 - -76) + -27)?
-14
What is the value of (0 - -12) + 2 + (15 - 8 - 32)?
-11
Calculate (10 - (13 + 5)) + 9 - (-18 + 0).
19
What is 3 + -4 - 0 - (12 + -16 + -6)?
9
What is the value of -2 + 16 - (79 + -58)?
-7
Evaluate 1 + 3 + (-3 - 8).
-7
What is -58 + 51 - (-15 + -6)?
14
Calculate (9 - 1 - 29 - -11) + 0.
-10
Evaluate 10 + 3 + (-1 + 1 - 9).
4
Calculate 1 - -18 - (-447 + 465).
1
Evaluate -7 + (2 - 3) + 26 + -12 + 4.
10
What is (1 + (25 - 10) - 9) + (19 - -3)?
29
What is 3 - (-7 - -8) - (21 - 6)?
-13
-3 + (-2 - -5 - 1) - (-4 - -15)
-12
What is 8 + 3 + 5 - (-11 - -18)?
9
(1 + 0 + -3 - 3) + -140 + 133
-12
Calculate -4 + -1 + -11 + -12 + 32.
4
What is -10 + 2 + 2 + -8 + 4 + 2?
-8
What is the value of 5 + (4 + -4 - 1 - 9) + -5?
-10
What is the value of -33 + (11 - (-10 - -4))?
-16
Calculate (-16 - -56) + -19 + (-8 - -2).
15
2 + -11 + 22 + 4
17
Evaluate 11 - 6 - 32 - -18.
-9
Calculate (-1430 - -1389) + (22 - -2).
-17
(1 - (2 + 0)) + (-2189 - -2186)
-4
What is the value of 47 - 45 - (-6 - 7)?
15
Evaluate -8 + 10 + 1 + -2 + 11 + -11.
1
Evaluate 9 - (24 + (-13 - -29)).
-31
(9 - 16 - (3 - (6 - 1))) + 1
-4
Evaluate (-12 - -11) + -25 + 24.
-2
What is -7 - (8 - (8 - 8) - 24)?
9
What is the value of 8 - (31 - 6 - 9) - 7?
-15
26 + (-48 - -18) - (6 - (2 + -3))
-11
Evaluate (-13 - (-28 - (1 - 5))) + 20.
31
What is (6 - (-8 + 12)) + -3?
-1
Calculate 2 - 4 - -1 - (384 - 378).
-7
What is -14 + 19 + (-19 - -17)?
3
What is the value of (-20 - (-8 - -15)) + 38?
11
What is 44 + 0 - (159 + -148)?
33
What is the value of -35 + 49 - (3 + 2 + -18)?
27
Evaluate 0 - 32 - ((-9 - -15) + -21 - -7).
-24
What is the value of 0 + -18 - (-5 + (9 - 12))?
-10
What is the value of 17 - 0 - 14 - 10?
-7
What is the value of -16 + (4 - (3 - 25))?
10
(46 - 55) + 6 + 2
-1
Evaluate (4 + -37 - -4) + 28.
-1
Calculate (12 - 28 - -29) + 1.
14
What is the value of 25 + -18 + -14 - (-4 - 0)?
-3
Evaluate -94 + 86 - (-19 + -1).
12
Evaluate 1 + (-2 - -6) + -10 + 1 + 2.
-2
-2 + 13 + (33 - 41) + 1
4
What is the value of -9 + 1 + (-5 - 3) + -59 + 71?
-4
-4 + 4 + 9 + -7 + -4 - -3
1
Evaluate -639 + 656 - (10 - 3).
10
Evaluate (1 - -7) + -102 + 90.
-4
What is the value of 21 + 0 + (1 + 10 - 0) + 0?
32
Calculate (13 + -1 - 5) + 41 + -53.
-5
Calculate (5 - (4 + -1 + -2)) + (64 - 66).
2
What is the value of (9 - (1 - 6)) + -6 + 15 - 7?
16
Evaluate (2 - (17 - 9)) + 17 - (1 + 0).
10
Evaluate -4 + 3 - 3 - (-13 + 0).
9
What is the value of -9 - (4 + 9 + -21)?
-1
Calculate 1 + 1 + 16 + -9 + 11.
20
Evaluate -7 + -3 + -2 - (12 + 0 + -5).
-19
Evaluate 4 - (15 + -3) - (-9 + -1 - 6).
8
5 + 1 - (-181 + 191)
-4
Evaluate -3 - (0 + 5 + 1 + (-10 - 9)).
10
Evaluate -100 + 88 + (0 - (-5 - -8)) + 48.
33
What is -15 + 31 + -24 + -2?
-10
What is the value of 44 - (-23 + 18 + 24)?
25
7 - (-2 + (-5 - -6) + -1 + -2)
11
Evaluate -35 + 49 + -5 + -7.
2
What is the value of -1 - (-39 + 15 + 1)?
22
Calculate 7 + (-29 - -3 - (-1 - 15)).
-3
What is (-12 - (-44 - -11)) + 2 + 7?
30
1 + (-2 - -8) - 13 - -2
-4
Evaluate -9 + (-1 - -3) + (4 - 1) + -10.
-14
Calculate 211 - 210 - (-3 + 3 + -1).
2
What is the value of 71 + -55 + -31 + (-1 - 5) + 2?
-19
What is 0 - ((0 - -9) + -13)?
4
What is -10 + -8 + (63 - 40)?
5
Evaluate (2 - -1 - 0) + -10 - (95 - 94).
-8
Evaluate (-2 + 1 - -8) + (54 + -90 - -42).
13
What is -2 - (3 + 9) - -8?
-6
Calculate -9 + 1 - (31 + -34).
-5
Evaluate -6 + 13 + -8 + 20 + -8.
11
Calculate -114 + 115 - (-3 + -2 + 8).
-2
What is the value of 21 + 15 - 28 - (34 - -1)?
-27
-21 + 36 + 10 - (0 + 2)
23
What is (-55 - -51) + (-2 - -13)?
7
What is -1 + -9 + (-10 - (0 + -10))?
-10
What is the value of -7 + (-19 - (-14 - 5))?
-7
What is 6 - ((5 - 16 - -8) + (-2 - 5))?
16
Evaluate -1 - (-8 + 12 + (0 - 9) + 7).
-3
What is the value of (-1 - 5) + (-2 - (28 + -23))?
-13
What is the value of 1 + -1 + (17 - (4 + 6))?
7
-13 + 1 - (26 - (-22 + 60))
0
Calculate 1 - -3 - ((14 - 6) + 0 + 10).
-14
What is 384 + -404 - ((-1 - -21) + -1)?
-39
Calculate 34 + -2 - (4 - -25 - 16).
19
What is the value of 12 + (-33 - (-26 - -12))?
-7
What is -6 + 2 + 4 + 6 + -7 - -16?
15
What is the value of -18 - 11 - -65 - 23?
13
What is -27 - (-4 + -12 + -13)?
2
Evaluate 1 + 12 + -24 + 18 + -19.
-12
Evaluate -10 + -7 + (-1 + -4 - -17).
-5
Evaluate (-3 + -13 - -20) + -15.
-11
Evaluate 18 + 3 + -10 + 2.
13
What is 10 + -3 - 26 - -33?
14
Calculate (-25 - -11) + (49 - 48).
-13
Calculate 8 - (-3 - -15) - -6.
2
Calculate 10 + (-30 - -5) + -4 + 5 + 0.
-14
What is 15 - (33 - 18 - -11)?
-11
Evaluate -7 + 0 - (17 - 18) - -15.
9
Evaluate -9 - (8 - ((-5 - -2) + (1 - 6))).
-25
Evaluate -1 + (9 - 0) + 898 + -907 - 12.
-13
Evaluate 2 - (5 - 1) - (18 + -11).
-9
What is the value of 0 + (-4 - 2) + 3 + -2 + 8?
3
What is the value of (3 - -6) + -13 + -14 + 8?
-10
9 - (7 + (-6 + 1 - 1))
8
Calculate 11 + 9 + -15 + -1 + 6.
10
What is the value of -49 + (23 - -2) + -8?
-32
Calculate (-6 - (-11 - 10)) + (-8 - -18).
25
6 + (1 - 42) - (-28 - -21)
-28
What is the value of 17 - 16 - (30 - 12 - 10)?
-7
Calculate 1 + 12 - (-380 + 384).
9
What is -15 + 15 + 1 + (-34 - -32)?
-1
Evaluate 4 - ((5 - -2) + -20).
17
What is the value of -146 + 137 + (1 - (-2 - -1 - 1))?
-6
Calculate (-9 + 4 - 1) + 8 + -11.
-9
-6 + -4 + 19 + -21
-12
Calculate -35 + 59 + 31 + -40.
15
What is the value of (18 - 7) + -8 + 11?
14
Calculate -35 + -2 - (36 + (15 - 51)).
-37
Calculate (-3 - (-6 + 15)) + 30 + -6.
12
32 + 8 + (-7 - 32)
1
What is -3 + (-3 - 2) + -20 + 12 + -2?
-18
Evaluate (3 + -13 - 13) + 17.
-6
What is 17 + (5 - (-1 + 5)) - 3 - 1?
14
Calculate (-6 - 4) + (3 - (12 - (1 - -14))).
-4
Evaluate 3 - 5 - (1 + -2 - (1 - 11)).
-11
What is 2493 + -2455 - (0 + 0)?
38
What is the value of 5 - ((-50 - -56) + 1 + -19)?
17
What is 5 + 0 - (-291 - -291 - (1 - 36))?
-30
What is 2 + (-4 - (0 + -8 - (-4 + -4)))?
-2
Calculate -60 - -50 - (-2 - -15).
-23
Evaluate (-21 - (21 - 33)) + -3.
-12
What is -10 - -13 - 2 - (-6 - -6)?
1
Evaluate (11 - (3 - (1 + -9) - -12)) + 15.
3
Calculate -18 + 33 + -9 - 15.
-9
Evaluate -7 - (13 - (-1 + 41 + 7)).
27
What is -281 - -275 - ((5 - 16) + 0 + 3)?
2
Evaluate 20 + -43 - (-1 - 32).
10
Evaluate 11 + 15 - (70 - 74).
30
Calculate -3 + 7 + (60 - 79).
-15
Calculate 20 + -7 - ((-4 - -6) + -6).
17
Calculate (-27 - -23) + 2 + -3 + 26.
21
Evaluate (-13 - -5 - 12) + 24.
4
(-10 - ((8 - -19) + -8)) + (-4 - -3)
-30
7 + -11 + -9 + 4 + 10
1
What is the value of 4 + (-39 - -35) + 1 + 4?
5
What is -17 + 9 + 3 + (-10 - 3)?
-18
Evaluate 5 + -7 - -10 - 9 - 22.
-23
2 + 2 + -3 + 9 + (-3 - 0)
7
What is the value of 15 + -14 + -6 - -13?
8
What is the value of -21 + 18 + (2 - 5) - -11?
5
What is 18 + (25 - 7) + -21?
15
What is the value of 14 + (10 - 3 - 10) + 1 + -1?
11
Calculate 36 + -66 + (3 - -28).
1
What is -18 - (1 + -2 - (-21 - (-15 - 3)))?
-20
Evaluate -3 + (-14 - -5) + 12 + (17 - -1).
18
What is the value of -3 + (0 - 1) + (1 - (-12 | {
"pile_set_name": "DM Mathematics"
} |
= 3*c + 4*l - 839, -4*c + 0*c = l - 1123. Let o = c - 1970/7. What is the closest to 1 in t, 0.1, o?
0.1
Let g = -219 + 219. Let t = 3 + -2. Which is the nearest to -1? (a) 0.3 (b) g (c) t
b
Let d be 5*(1 + 2 + -2). Let p = 0.6 + -1.5. Let l = -0.9 - p. Which is the nearest to l? (a) 4 (b) 0 (c) d
b
Let p = 81 - 327/4. What is the nearest to 2 in -0.5, p, 4?
4
Let v = -3/61 - -149/549. Let q = -23.1 + 23. Which is the nearest to q? (a) v (b) 0.5 (c) -2/19
c
Let r = 3/14 + -41/28. Let l = -1.37 + 1.4. Let m = l - -0.97. Which is the nearest to m? (a) r (b) -2/17 (c) -1
b
Let h be (-36)/9*(-15)/(-28) + 2. Which is the closest to 3? (a) 2/17 (b) h (c) -5
a
Suppose -2*t = -10, -x = 2*x - 4*t + 35. Let u be (-13)/x + (-2 - 0). Which is the nearest to 2/3? (a) 0 (b) u (c) 3
b
Let t = -1.8 - -1.93. Let i = t - -4.87. Which is the closest to -2/9? (a) i (b) -5 (c) -2
c
Let h = -5 - -9. Let i = h + -3.6. Let p = i + -0.2. What is the nearest to 1 in 3/7, p, -0.1?
3/7
Let k be 1/(-4)*(-3 + 4). Let s be 6*9/2*3. Let w = s - 403/5. What is the nearest to w in k, -2, -0.4?
k
Let v = -6.7 + 6.5. Let p = -3 - -4. Which is the closest to v? (a) -0.7 (b) -0.3 (c) p
b
Let p = 23/66 - 2/11. Let d = -1143/7 - -163. Which is the nearest to d? (a) 5 (b) p (c) 1/5
b
Let m = 1/6 - -1/2. What is the nearest to -1 in 0.5, 3, m?
0.5
Let s = 8.1 - 8.3. Which is the closest to -0.07? (a) s (b) 3 (c) -2
a
Let g be ((-12)/(-9))/((-2)/(-3)). Suppose -2*x - 11 = 5*f - 3*x, -g*x = 8. Let z = 6.1 + -1.1. Which is the nearest to 0.1? (a) 3 (b) f (c) z
a
Let t = -0.2 + -1.8. Let f = -4 - t. Which is the nearest to f? (a) -0.4 (b) -1/4 (c) 1
a
Let l be 4/(-6)*(0 + 3). Let o = -9961/9 - -1107. What is the closest to o in 0.3, -1, l?
0.3
Let f be -105*(-1)/1 - 0. Let d be (-6)/(-21) - (-12)/f. Which is the nearest to 0? (a) -1 (b) d (c) -3
b
Let n = -0.08 + 0.3. Let w = -0.08 - n. Which is the nearest to 0.1? (a) w (b) 0.3 (c) 0.4
b
Let p = 0.1 + -3.1. Which is the closest to 0? (a) 0.3 (b) 1 (c) p
a
Let q = -12 - -14. Which is the nearest to q? (a) 3/7 (b) -1/4 (c) -5
a
Let k = 59 - 74. Let s = -18 - -7. Let u = k - s. Which is the nearest to 1/3? (a) -3 (b) -0.1 (c) u
b
Let v = -9 + 8. What is the nearest to v in -2, -4, 0.4?
-2
Suppose 0 = -20*s + 19*s. Which is the closest to 0? (a) -0.4 (b) s (c) 2
b
Let n be (6/(-4) - -2)*6. Suppose -6*b + n*b = 0. What is the closest to b in -2, 6, -0.5?
-0.5
Let f = 0.08 + -4.08. Let v(l) = l - 8. Let h be v(8). Which is the nearest to -1? (a) 4 (b) f (c) h
c
Let x = 3.14 + 0.86. Which is the nearest to 1/2? (a) 0 (b) 5 (c) x
a
Let p be (-16)/216*6/4. What is the nearest to -0.1 in 0.4, p, 0.1?
p
Let y be -7 + 2 + (-15)/(-5). Let q = 0 + -2.5. Let d = -2 - q. Which is the nearest to 0.1? (a) -1/4 (b) y (c) d
a
Let m = 3 - 2.95. Let d = 0.48 + -0.03. Let v = m - d. Which is the nearest to -0.1? (a) -0.1 (b) 2 (c) v
a
Let j = -27/8 + 259/72. Let c be (-3)/(-12) - 34/8. What is the nearest to -1 in j, 1, c?
j
Suppose -z + 17 = -4*m, -3*z + 2*z - 5*m = 19. What is the nearest to -21 in z, -4/7, 2/5?
-4/7
Let z = 6.8 - 7. Let i = z - 0.3. What is the closest to -1 in 1/9, -4, i?
i
Let i = -1991/17 - -117. Let n be (-2)/(-3) - (33/(-9))/(-11). Which is the nearest to 0.1? (a) -0.5 (b) n (c) i
c
Let v = -1 + 1. Let f = -29/22 - -9/11. Which is the closest to 1? (a) f (b) v (c) -0.1
b
Let w be (-18)/(-27)*(0 + (-6)/16). What is the nearest to w in 5, -0.05, 3/2?
-0.05
Let s = 3 + -3.3. Let m be (-4 - -4)/((-8)/(-4)). Which is the closest to m? (a) s (b) 4/5 (c) 0.1
c
Let r = -1 + 4. Let s = 4 - r. Let v = 0.2 - 0.3. Which is the closest to v? (a) 4 (b) s (c) -1
c
Let l = -16 - -6. Let n = l + 15. Let u = 0.2 - 0.3. Which is the closest to 0? (a) n (b) 2/23 (c) u
b
Let r(j) = -j + 4. Let z be r(2). Suppose -4*q - 24 = z*q. What is the nearest to 0 in q, 1/10, 3?
1/10
Let p = -0.3 + 0.3. Let y be (-2)/12*24/9. What is the nearest to p in -0.1, y, -0.2?
-0.1
Let k = -4.6 + -0.4. Let l = 3 + k. Which is the nearest to -0.1? (a) l (b) 0.4 (c) 0.1
c
Let k = -78 + 392/5. Let v = 72 - 359/5. What is the closest to -1 in -0.3, v, k?
-0.3
Let s be (-1)/7*(2 - 1). Let u = -0.1 - 4.9. Let k = u - -7. Which is the nearest to k? (a) s (b) 5 (c) 2/11
c
Let r = -23.4 + 23. What is the nearest to 1/3 in 0.3, 0.1, r?
0.3
Let t = -18 + 17.9. Which is the nearest to t? (a) 0.2 (b) 0.1 (c) -1
b
Let p = 0.03 + 6.97. Let w = 23 + -32. Let q = w + p. Which is the closest to 0? (a) q (b) -0.5 (c) -5
b
Let x = -1.5 + -2.1. Let g = -4 - x. What is the closest to -0.1 in 3, 1, g?
g
Let h(r) = r**2 - 2*r - 3. Let d be h(5). Suppose d = 2*w - 2. Suppose -a - 2*q = 8, -2 = 3*q + w. What is the closest to 1 in 0.4, 5, a?
0.4
Suppose -2*h + 136 = -5*o, -3*o + 4*h = -6*o - 92. Let w be ((-6)/(-7))/((-16)/o). Let g = 2 + -5. What is the closest to 1/5 in 0.3, w, g?
0.3
Let w = 0.06 - 3.06. Let f = -1.47 + 1.17. What is the nearest to 3 in f, w, 0.4?
0.4
Let s = -78.9 + 79. What is the nearest to s in 8, 1, 5?
1
Let k be (-2)/(3 - 57/18). Let s be (k/(-15))/(2/5). Which is the closest to 0? (a) -4 (b) -1/4 (c) s
b
Let t = 3.5 - 2. Let s = t - 0.5. Let o = -5 + 5.4. Which is the closest to 2/3? (a) s (b) o (c) 1/5
b
Let p be (-4)/6 - (-20)/120. Suppose 2*d - 2*q - 3*q = 29, -d + 12 = -2*q. Which is the closest to 1? (a) d (b) p (c) 5
a
Let u be 3/(-12) + (-2)/(-4). Let q = -5.4 + 5. Let i = 0.2 + q. Which is the closest to i? (a) u (b) -3 (c) 4
a
Let m = -0.42 + 0.52. What is the closest to m in -4, 0, -5?
0
Let j = -11 + 9. What is the nearest to 0 in -0.2, -0.04, j?
-0.04
Let m be 2/(-3)*(-6)/(-10). Let x = -3 + 2. Which is the nearest to 2/5? (a) 3 (b) x (c) m
c
Let v = -56 - -80. Let z = 20 - v. Which is the closest to 1/3? (a) z (b) 2/7 (c) -2/9
b
Suppose 3*q - 26 = -2*x, 0 = -q - 9*x + 6*x + 18. What is the closest to 2 in -2/3, 0.1, q?
0.1
Let j be 0 - (-3)/(-24)*0. Let v = 0.3 - 0.4. Suppose -g = -4*g + 15. Which is the closest to v? (a) j (b) g (c) -5
a
Let m = 9 - 7. Let z be (m/1)/((-3)/(-15)). Let d be 3/12 - z/(-8). Which is the nearest to 0.1? (a) d (b) -5 (c) 3
a
Let m = -2 - -2. Let w = -24.1 - -25. Let j = 0.6 - w. Which is the nearest to m? (a) j (b) -3 (c) 0.1
c
Suppose 0 = -u + 3*u - 8. Let p(l) = l**2 + 11*l - 17. Let a be p(-12). Let x = -0.02 - 1.98. What is the closest to x in a, -1, u?
-1
Let y = -3.2 - 0.8. Let o(l) = l**3 - l**2 - l + 2. Let x be o(0). What is the closest to x in -2, y, -0.5?
-0.5
Let r(v) = -v**3 - 14*v**2 - 13*v. Let j be r(-13). What is the nearest to 1 in j, -4, -6?
j
Let u = -26.3 - -5.3. Let g = u - -26. Which is the nearest to 2/9? (a) 2/11 (b) g (c) 1/8
a
Let n be -4*(-5)/(-100)*2. What is the nearest to -1 in -0.1, n, 19?
n
Let z = 2.29 + -1.99. What is the closest to 2/5 in 1, -0.02, z?
z
Let o = 217/5 - 43. Let p be -5 + -3 + (2 - -2). Let d be (1 - 2)*(p - -4). What is the closest to d in o, 0.5, -0.3?
-0.3
Suppose -6*r + 10 = -4*r. Suppose -6 = 3*k, r*s - 11 = 4*s + 4*k. Which is the nearest to 0? (a) s (b) -0.4 (c) -0.1
c
Let h be ((-33)/44)/(1/12). Let o be 1 + -4*(-3)/h. Suppose 0 = -u - w, 4*u + 32 = 2*w + 2*w. Which is the closest to o? (a) -0.5 (b) 1/3 (c) u
a
Let z = -2.3 - -2.3. Suppose 0 = 6*r - 10*r. Which is the nearest to z? (a) -2 (b) r (c) -11
b
Let p = 1 - 2. Let t = 41/21 - 9/7. Which is the closest to p? (a) t (b) -2/13 (c) 2
b
Let m = -3/28 + 1/4. Which is the nearest to 0.1? (a) 4 (b) m (c) 3/8
b
Suppose 0 = 5*n - 2*n - 90. Let v be (6/n)/((-8)/(-10)). Let q be 3 + -1 + (-8)/6. Which is the closest to 1? (a) q (b) v (c) 5
a
Let g = 0 - -0.1. Which is the closest to g? (a) -0.1 (b) -86 (c) -2/7
a
Let z(o) = -4*o + 4*o - 6*o - 3*o - 4 - o**2. Let y be z(-8). Let s = -7 + y. What is the nearest to 2 in -5, s, -4?
s
Let r = -0.9 - 0.1. Let k = -38/15 - -508/165. Which is the closest to r? (a) 5 (b) k (c) 1/2
c
Let x = -13/30 + 1/10. Let m = 15 - 14.98. Let d = -0.28 - m. What is the closest to -1/2 in x, 0, d?
x
Let j(s) = 27*s**2 + 3*s + 2. Let u be j(-3). Let m = -1655/7 + u. Let q be (-3)/6 - (-3)/4. Which is the nearest to 1/4? (a) -1/2 (b) q (c) m
b
Let m = | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -26*o**6 + 36*o - 36*o - 18*o**2 wrt o?
-3120*o**3
Let w(x) be the first derivative of 7*x**6/6 - 4*x**3/3 - 4. What is the third derivative of w(h) wrt h?
420*h**2
Let q(x) be the third derivative of x**8/112 + 31*x**4/24 + x**2. Find the second derivative of q(y) wrt y.
60*y**3
Let c = -5 + 6. What is the derivative of -5 + 5*z - c - 1 - 2*z wrt z?
3
Let o(p) be the third derivative of p**6/120 + p**5/20 + 4*p**2. Find the third derivative of o(k) wrt k.
6
Find the first derivative of -7*s**2 + 0 + s**2 + 1 - 8 wrt s.
-12*s
Find the third derivative of -184*q**6 + 195*q**6 - 10*q**2 - 17*q**2 wrt q.
1320*q**3
Let x = 5 + -3. What is the first derivative of -2 + 2 + 5*c + 0 + x wrt c?
5
Let z(w) be the first derivative of 0*w**5 + 0*w**3 + 0*w**4 + 5/2*w**2 + 1/6*w**6 + 0*w + 3. What is the second derivative of z(q) wrt q?
20*q**3
What is the second derivative of 0*i**4 + 0*i**4 - 6*i - 4*i**4 wrt i?
-48*i**2
Suppose -2*i + 0 + 14 = 0. Find the second derivative of 5*p**5 - 2*p**5 + i*p - 6*p**5 wrt p.
-60*p**3
Let u(t) = 62*t**4 + 175*t**2 + 11*t + 11. Let c(i) = -21*i**4 - 58*i**2 - 4*i - 4. Let h(f) = 11*c(f) + 4*u(f). What is the third derivative of h(a) wrt a?
408*a
Suppose 4*w = 5*w. What is the derivative of -2*k**2 + w + 11*k**2 - 5 - 3*k**2 wrt k?
12*k
Let a be (1 - -1) + (-1)/1. Suppose -3*u - a = 3*m - 2*u, 4 = m - 4*u. Find the second derivative of -i**5 + m*i + 0*i**5 + 2*i wrt i.
-20*i**3
Let s(y) = -6*y**5 - 9*y**4 - 9*y**3 - 11*y. Let r(x) = 3*x**5 + 4*x**4 + 4*x**3 + 5*x. Let q(h) = 9*r(h) + 4*s(h). What is the second derivative of q(c) wrt c?
60*c**3
What is the third derivative of 2*h - 28*h**2 - 2*h - 7*h**2 + 56*h**3 wrt h?
336
Let d(g) be the first derivative of -7*g**3 + 2*g**2 + 44. Find the second derivative of d(x) wrt x.
-42
Suppose -35 + 7 = -4*j. Find the first derivative of -4 + 0 + j + w**4 wrt w.
4*w**3
Let u(g) be the third derivative of 23*g**6/120 + 19*g**5/60 - 10*g**2. What is the third derivative of u(d) wrt d?
138
Suppose -4*d - 3*v - 16 = -6*v, -2*v = 0. Let b = d - -7. Find the first derivative of 2*n**b - 5*n**3 + n**3 + 1 wrt n.
-6*n**2
Let u(h) = 4*h**4 + 3*h**2 - h + 1. Suppose a - 2 = -a. Let j(t) = -t + 1. Let f(g) = a*u(g) - j(g). Find the third derivative of f(m) wrt m.
96*m
Let s(f) be the first derivative of -1 + 2*f + 0*f**2 + 0*f**3 - 3/5*f**5 + 0*f**4. What is the derivative of s(h) wrt h?
-12*h**3
Let y(k) be the third derivative of -k**7/420 - k**6/180 - k**3/3 + k**2. Let f(n) be the first derivative of y(n). What is the third derivative of f(z) wrt z?
-12
Let f(l) be the second derivative of 0*l**3 + 0*l**2 - 1/5*l**5 - 3*l + 0 - 1/2*l**4. What is the third derivative of f(i) wrt i?
-24
What is the derivative of 2*r**3 - 6 - 3*r**3 - 1 - 7*r**3 wrt r?
-24*r**2
Let t(v) = 9*v**2 - 5*v. Let b(q) = -q**2 - q. Let x(z) = 6*b(z) + t(z). What is the second derivative of x(k) wrt k?
6
Let j(u) be the third derivative of -u**6/20 + u**4/12 - 2*u**2. Find the second derivative of j(z) wrt z.
-36*z
Let l(a) be the third derivative of 3*a**6/40 + a**5/15 - a**2. What is the third derivative of l(g) wrt g?
54
Let j(p) be the first derivative of 22*p**7/7 - 11*p**3/3 + 1. What is the third derivative of j(u) wrt u?
2640*u**3
Let u = -10 + 10. Find the first derivative of 4*f + 2 - 5*f + u - 6*f wrt f.
-7
Find the third derivative of 18*z**3 - 36*z**3 + 41*z**3 - 6*z**2 wrt z.
138
Let f(h) be the first derivative of h**3/3 + h**2/2 - 2*h - 4. Let s be f(2). What is the third derivative of 2*v**2 + v**s - 3 + 3 wrt v?
24*v
Suppose d = 4 - 1. Find the third derivative of -6*y**6 + y**2 + 0*y**3 + 3*y**3 - 3*y**d wrt y.
-720*y**3
Let b = -9 - -5. Let c be (-1)/2*(-2 + b). What is the third derivative of w**c - 3*w**3 + w**2 + w**2 wrt w?
-12
Let u(c) be the second derivative of c**7/14 - c**3/2 + 19*c. Find the second derivative of u(d) wrt d.
60*d**3
Find the second derivative of f**4 - f**2 - 24*f + 0*f**2 - f**2 - 1 wrt f.
12*f**2 - 4
Find the third derivative of 3*k**5 + 4*k**2 + 0*k**5 - 4*k**5 - 2*k**5 wrt k.
-180*k**2
Let v = -20 - -25. What is the third derivative of f**5 + 8*f**2 - 9*f**v + 0 + 0 wrt f?
-480*f**2
Let h(v) = v**3 - 6*v**2 + 4. Let k be h(6). What is the third derivative of t**4 - 5*t**4 + 3*t**k + t**2 - 6*t**4 wrt t?
-168*t
Let p = -9 - -14. Find the third derivative of -p*n**6 - n**2 + 2*n**6 + 0*n**6 wrt n.
-360*n**3
Let v(n) = -3*n**4 + 6*n**3 + 6*n - 16. Let p(x) = 4*x**4 - 7*x**3 - 7*x + 17. Let w(b) = -6*p(b) - 7*v(b). Differentiate w(j) with respect to j.
-12*j**3
Find the third derivative of 6*s**5 - 7*s**2 - s**5 - 4 + 4 wrt s.
300*s**2
Let o = -3 + 6. Differentiate 0*b**o + 6*b**4 + 6*b**3 - 6*b**3 - 3 with respect to b.
24*b**3
Let u(t) be the first derivative of 5*t**9/3024 + t**6/180 + 2*t**3/3 + 3. Let c(z) be the third derivative of u(z). What is the third derivative of c(x) wrt x?
300*x**2
Let t(d) = -d - 5*d - 2*d**2 - 5*d + 2*d + 4. Let k(u) = -u**2 - 4*u + 2. Let a(b) = 9*k(b) - 4*t(b). What is the first derivative of a(v) wrt v?
-2*v
Let d(b) = -3*b**3 - 3*b**2. Let w(g) = g**3 + 2*g**2. Let a(c) = 3*d(c) + 5*w(c). Find the third derivative of a(l) wrt l.
-24
Let v be (4/6)/((-6)/9). Let o be 0/(3/(-2 + v)). What is the derivative of 3*w**3 - 5 + o + 1 wrt w?
9*w**2
Differentiate -2*p + 218 - 3*p**2 - 216 + 2*p with respect to p.
-6*p
Let p(f) be the second derivative of 1/6*f**3 + f + 0*f**4 - 3/20*f**5 + 0 + 0*f**2. What is the second derivative of p(v) wrt v?
-18*v
Let k be (-4)/(-3)*(-27)/(-6). Let a(n) = n**2 - 6*n + 5. Let v be a(k). What is the derivative of -p**2 + 4*p**2 - 6 + v + 5 wrt p?
6*p
Let d(y) = 10*y**2 + 11*y - 6. Let i(x) = 9*x**2 + 10*x - 5. Let w(l) = 5*d(l) - 6*i(l). Find the second derivative of w(q) wrt q.
-8
Differentiate -7 + 39 - 8*o - 40*o + 8*o wrt o.
-40
Let z(u) = -13*u**4 - 2*u**2 - 2*u + 2. Let m(x) = -14*x**4 - 3*x**2 - x + 3. Let t(a) = -2*m(a) + 3*z(a). What is the second derivative of t(n) wrt n?
-132*n**2
Let m(p) be the third derivative of 0*p + 0 + 1/24*p**6 - 5*p**2 + 0*p**3 + 1/60*p**5 + 0*p**4. What is the third derivative of m(o) wrt o?
30
Let y(i) = -4*i + 0*i + 5*i - 4*i. Let l(g) = -g - 1. Let b(s) = -2*l(s) - y(s). What is the derivative of b(u) wrt u?
5
Let t(r) be the third derivative of -7*r**6/120 - 13*r**3/6 + 5*r**2. What is the first derivative of t(u) wrt u?
-21*u**2
Let q = 3 - -15. Suppose 8 = 3*a - 3*t + 4*t, 4*a + 5*t - q = 0. Find the third derivative of 3*o**2 - 3*o**6 - a*o**2 + 2*o**2 wrt o.
-360*o**3
Differentiate -21 - 26*i**2 - 4*i**4 + 39*i**2 - 20*i**2 - 14 wrt i.
-16*i**3 - 14*i
Let z = 14 - 14. Let w(l) be the first derivative of -1 + l**2 - 2/3*l**3 + z*l. Find the second derivative of w(i) wrt i.
-4
Let u = -2 + 4. What is the first derivative of -2*g - 2*g - u*g + 3 + 4*g wrt g?
-2
Let k(x) = 3*x**3 - x**2 - 3*x + 3. Let m(a) = 6*a**3 - a**2 - 7*a + 7. Let z(h) = -14*k(h) + 6*m(h). What is the third derivative of z(d) wrt d?
-36
Find the second derivative of -72*r**2 + 17*r**2 - 4*r - 1 - 5*r + 3*r wrt r.
-110
Suppose 0 = -n - 5*f + 12, -n - n - 3*f + 10 = 0. Find the second derivative of 7*o - 9*o - 2*o**n + 4*o**2 wrt o.
4
Let u be 14 - (-2 - (0 - -1)). What is the third derivative of u + 3*l**2 - 17 - 4*l**3 wrt l?
-24
Let o = -14 + 16. What is the derivative of -3*f**2 - 6*f**3 - 7 - f**o + 4*f**2 wrt f?
-18*f**2
Find the third derivative of 16*r**2 + 148*r**6 + 4*r**2 - 151*r**6 wrt r.
-360*r**3
What is the derivative of -7 - 158*r + 76*r + 82*r - 40*r**4 wrt r?
-160*r**3
Let x(g) = 15*g**3 - 3*g**2 - 3*g + 1. Let r(p) = 14*p**3 - 2*p**2 - 2*p + 1. Let d(w) = -3*r(w) + 2*x(w). What is the first derivative of d(q) wrt q?
-36*q**2
Let f(s) = -2*s**3 + 12*s**2 + 7*s + 7. Let r(y) = 6*y**3 - 36*y**2 - 22*y - 20. Let b(t) = 14*f(t) + 5*r(t). Find the second derivative of b(j) wrt j.
12*j - 24
Let d(q) = -6*q + 9. Let l(y) = -18*y + 28. Let h(i) = -7*d(i) + 2*l(i). Differentiate h(m) wrt m.
6
Let i(j) be the third derivative of -4*j**7/105 + j**4/3 - j**2. Find the second derivative of i(t) wrt t.
-96*t**2
Suppose -2*m = -32 - 20. Find the third derivative of -m*q + 5*q**2 + 4*q**4 + 26*q wrt q.
96*q
Find the second derivative of 9*m**5 + 8*m**5 + 7*m**5 - 17 | {
"pile_set_name": "DM Mathematics"
} |
156 - u. Is i a multiple of 21?
True
Let g = -139 + -121. Let h = g - -465. Does 14 divide h?
False
Let w(g) be the first derivative of g**2/2 + 2*g - 3. Let h be w(0). Suppose -2*u + 6*u + h*z = 100, -2*u + 58 = 3*z. Is u a multiple of 15?
False
Let a = 853 - 543. Is 21 a factor of a?
False
Let w = -48 - -79. Suppose w = 3*f - 230. Is f a multiple of 10?
False
Suppose 0 = 121*k - 133*k + 3516. Does 5 divide k?
False
Suppose 3 + 3 = -2*p. Let i be p/(1/1*-1). Suppose -3*b + o + 25 = 0, -i*o = -4*b - 0*b + 25. Is b a multiple of 10?
True
Suppose 0*o + 3*o = -5*y + 22, -5*y = o - 14. Suppose -y*p + 110 = g, -3*g + 7*g - 110 = -2*p. Is p a multiple of 18?
False
Let h(d) = 10*d - 5. Let q be h(16). Let v = -107 + q. Is v a multiple of 12?
True
Suppose -2*k + 5*v = -2, -18 = 4*k + 5*v - 82. Suppose 0 = 2*a - y - 11 - k, -4*a = y - 38. Does 3 divide a?
False
Let g = 2261 + -1253. Is g a multiple of 50?
False
Suppose -5*o - 75 = 4*i, -4*i - 4*o = -9*o + 125. Is (-10)/i - -17*19/5 a multiple of 16?
False
Suppose 4*h - 2*h + 5 = -5*t, 3*t = 2*h - 35. Let s be 15/(-3)*(-16)/h. Let n = s + 26. Is 17 a factor of n?
True
Let d be (3/2)/3*4. Suppose 4*l - 2*h - 16 = 0, 2*l - d*h + 7*h - 20 = 0. Suppose l*u = 2*u + 33. Is 3 a factor of u?
False
Suppose 21*y + 33540 = 64*y. Is y a multiple of 60?
True
Let a be (4 + -4 - 90)*-2. Suppose 3*s - a = -s. Is s a multiple of 15?
True
Let n = -76 + 166. Let w = n + -39. Is w a multiple of 17?
True
Let p = -2 - -6. Is (p - (-47 - 4))/1 a multiple of 10?
False
Let r be (-2)/(-7) + 2196/7. Suppose -3*y + 29 + 169 = 2*z, -r = -5*y + 2*z. Is 16 a factor of (9/(-3))/((-6)/y)?
True
Let s(o) = -5*o + 66. Let n be s(14). Is ((-117)/45)/((-8)/(-150))*n a multiple of 33?
False
Let f be ((-1)/2 + 1)*-92. Let b = -30 - f. Is 21 a factor of (-3 - -11)*84/b?
True
Let a(f) = 316*f**2 - 8*f - 3. Is 103 a factor of a(-3)?
False
Let b = -426 - -474. Is b a multiple of 2?
True
Let r = 0 - 0. Suppose r = v - 4*v + 30. Suppose -v = s - 4*z, 3*z + 0*z - 6 = s. Is s even?
True
Let r(w) = 9*w**3 + 3*w**2 + 4*w - 2. Let m be r(3). Suppose -g - 815 = -3*o, 0 = 4*o - 5*o + 2*g + m. Does 18 divide o?
True
Let o = 19 + -16. Suppose o*w - 9 = -0. Suppose -4*u = -w*x + 172, 2*x = -x - u + 182. Does 13 divide x?
False
Is (-14)/21 + 1880/12 a multiple of 6?
True
Let h(d) = 5 - 2 - 2 + 80*d + 12*d. Is 5 a factor of h(1)?
False
Let j(z) = z**3 - 15*z**2 + 13*z + 9. Let c be j(14). Let y(i) = -i + 7. Let l be y(c). Suppose 20 = 2*d - l. Does 6 divide d?
False
Let c = 1086 + -592. Is 23 a factor of c?
False
Let s = 335 - 351. Let r(a) = 15*a**2 - 22*a - 3 + a**3 - 10 + 1. Is r(s) a multiple of 28?
True
Let n(p) = 21*p - 4*p - 1 - 10*p + p**2. Is n(-8) even?
False
Let c(a) = -6*a + 20 - 67 + 32. Let f be c(-11). Is 21/7 + f + 2 a multiple of 10?
False
Let q be -9 - (-1 - (4 - 3)). Let s = -3 - q. Suppose 2 = n - s. Is 6 a factor of n?
True
Suppose -g - c - 128 = -2*c, 0 = -3*g + 2*c - 385. Let l = 13 - g. Suppose -86 = -2*k - 4*d, 8*k - 4*k + 2*d - l = 0. Is 22 a factor of k?
False
Let u = 17 - 12. Suppose -u*l + 6 = -94. Is l a multiple of 15?
False
Suppose 0 = 10*d - 4*d - 1794. Does 6 divide d?
False
Let j be -1 - (3 + (1 - 5)). Suppose j = 4*z - b + 2*b - 11, 0 = z - 3*b + 7. Let d = z - 0. Is d a multiple of 2?
True
Let f(x) = -4*x - 3. Let u be f(-4). Suppose -4*q + 5*c - u = 0, 14 = -q + 4*c - 3. Suppose 0 = 3*v - 15, -z - q*v + 33 = z. Is 3 a factor of z?
True
Suppose -2*w + 45 + 175 = 0. Suppose 0 = -5*a - 3*d + 37 + w, -2*d - 92 = -3*a. Does 20 divide a?
False
Is (-957)/(-5) + (-3)/(-5) a multiple of 12?
True
Suppose 3*v - 645 - 82 = -4*o, -732 = -4*o - 4*v. Let w = o - 26. Is 8 a factor of w?
True
Let q be 0/((-3)/(12/16)). Suppose q = -2*h - 3*h + 5*g + 25, -3*g - 27 = -5*h. Suppose h*b = b + 70. Is 8 a factor of b?
False
Suppose 724*n - 731*n + 840 = 0. Is n a multiple of 5?
True
Let d = -164 - -347. Let i = -46 + 46. Suppose i = -2*z - z + d. Does 22 divide z?
False
Suppose 3*i - 63 = 87. Let u = 57 + -26. Let k = i - u. Is k a multiple of 6?
False
Suppose -4721 = -5*k - 2*l + 1783, -2*k - 2*l = -2598. Is k a multiple of 62?
True
Suppose 5*u - 6371 = 4*p - 0*p, 2*u - p - 2549 = 0. Is u a multiple of 51?
True
Let i(n) = n + 6. Let p be i(-6). Suppose -3*f + f - 196 = p. Let a = f + 170. Is 24 a factor of a?
True
Is (-2)/(-1*4/272) a multiple of 34?
True
Let a(z) = -21*z**3 + 11*z**2 + z + 4. Let c(k) = -4*k**3 + 2*k**2 + 1. Let x be (-5)/((-15)/39) - 2. Let t(j) = x*c(j) - 2*a(j). Is t(-3) a multiple of 21?
True
Let c = 2085 - 1734. Does 27 divide c?
True
Let u = 85 + -87. Is 44 a factor of u/(-5) - 1756/(-10)?
True
Suppose c + 784 = 8*c. Suppose -2 = -i + 2, 0 = -2*n + 4*i - 150. Let g = c + n. Does 13 divide g?
False
Does 20 divide (6/15)/((-7)/(-6440))?
False
Is -5*3/(-10)*1202 a multiple of 17?
False
Suppose 80 = -22*v + 30*v. Does 2 divide v?
True
Suppose -16*i - 2902 = -19974. Does 6 divide i?
False
Let w = 7 + -1. Let k = 15 + w. Let m = 0 + k. Is 7 a factor of m?
True
Let r = -655 + 659. Does 2 divide r?
True
Suppose 9 = 4*a - 5*r + 2*r, 2*a - 3*r = 3. Suppose -4*m - 5*s = -325, 0*s - 163 = -2*m - a*s. Is 40 a factor of m?
True
Suppose -6 + 2 = -4*w. Let j be -3 + -1 + 8/w. Suppose -3*h - 18 - 14 = -5*l, 0 = -j*h + 4. Is 2 a factor of l?
False
Suppose -16 = -4*h - 5*r, -h + 4 = -4*r + 7*r. Let k(p) be the third derivative of p**5/20 - 5*p**4/24 + 5*p**3/3 + 6*p**2. Does 11 divide k(h)?
False
Let w(x) = 5*x**3 - 13*x**2 - 6*x + 16. Is 37 a factor of w(6)?
True
Let r(b) = b**3 - 3*b**2 - 7*b + 2. Let z be -7*(-1 + 2 - 4 - -2). Is r(z) a multiple of 29?
False
Let j(q) = -q**3 + 11*q**2 - 9*q - 8. Let g be j(10). Suppose 8 = 3*z - 7*z + g*k, 3*k - 12 = z. Suppose z = -2*o - 5*o + 56. Is o even?
True
Let l(x) = 22*x - 156. Is l(10) a multiple of 16?
True
Let f(x) = x**3 + 2*x - 2*x - 4*x**2 + 6 + x - 7. Is 29 a factor of f(5)?
True
Suppose -3*p + 323 = -244. Is p a multiple of 3?
True
Let b = 20 - 20. Suppose -n + 44 + 38 = b. Suppose w = -w + n. Does 7 divide w?
False
Suppose 0 = 25*g + 12956 - 76306. Is g a multiple of 53?
False
Let w(a) = -a**3 - a**2 + a + 14. Let t be w(0). Let q = 56 + t. Does 14 divide q?
True
Suppose -5*v = 4*k - 1364, 3*k + 17 = 2*v - 524. Does 11 divide v?
False
Suppose -2*u = 4*d - 4186, -4*d + 4*u = -4995 + 779. Suppose 6*r = 65 - d. Is ((-9)/(-6) - 2)*r a multiple of 27?
False
Is 164/((18/30)/((-15)/(-50))) a multiple of 17?
False
Suppose -3*p - 3*z + 0*z = -1242, 0 = -p - 5*z + 422. Does 90 divide p?
False
Let p(d) = d**2 - 8*d + 4. Let i = 24 - 16. Let u be p(i). Let k(s) = s**2 - 4*s + 2. Is k(u) even?
True
Let f = -28 + 33. Suppose 63 = 8*y - f*y. Does 11 divide y?
False
Let i = 16 - 6. Suppose i*p = 7*p + 318. Is p a multiple of 12?
False
Suppose -4*h + 3*h + 38 = 0. Suppose 7*o + 4 = -h. Let z(n) = 3*n**2 + 15*n + 3. Does 7 divide z(o)?
True
Suppose -3*q + 2 + 4 = 0. Let l be (-28)/16*(-1 - -4 - 7). Does 5 divide 10 + (2 + q - l)?
False
Is 53 a factor of (-826)/(-4) - (-3)/6?
False
Let z(i) = 18*i**2 + 28*i - 222. Is z(8) a multiple of 27?
False
Suppose -f + 0*g = -g - 21, -4*f = 3*g - 84. Let m be (2 + -1 + 18)/1. Suppose m = 4*j - f. Does 5 divide j?
True
Is 9 a factor of (-28)/(-14)*33*3?
True
Suppose 0*r = r + 3*n - 11, -5*n = 15. Is 27 a factor of (-30)/r*54/(-1)?
True
Let k be (3 - -5 - 2)*13. Suppose 2*n = 2*t - 10, 4*n - 3*n + 1 = -t. Suppose -t*m = -0*m - k. Does 8 divide m?
False
Suppose 5*q + 42 = u, 4*u + 5*q = u + 166. Suppose -u = -2*x + 32. Let s = x - 26. Is s a multiple of 5?
False
Let q be (-6 + -73 + 6)*(0 + -20). Suppose 0 = 31*m - 27*m - q. Is 54 a factor of m?
False
Let l(w) = 134*w**2 + 23*w - 79. Does 7 divide l(3)?
False
Suppose 4*c + 7*u - 428 = 3*u, 4*u = 2*c - 184. Is 51 a factor of c?
True
Let l(r) = 5*r**2 - 2185*r + 2 + 2185*r. Does 3 divide l(1)?
False
Suppose 2*b + 163 = 5*i - 190, 0 = -4*i - 2*b + 268. Is 13 a factor of 2/24*i*8?
False
Let l(b) = 0 - b - 4*b**2 + 5*b**2 - 4. Let o be l(3). Is o - -85 - (2 + 1) a multiple of 21?
True
Suppose 0 = -c + 5, -3*q + 8*q - 2*c = 2720. Does 14 divide q?
True
Let g(o) = 81*o**2 - 4*o - 16. Is 25 a factor of g(-5)?
False
Suppose b + 5*q = -5, 5*q - 2 = -4*b + 8. Let d = 3 + b. Suppose 7 = -5*w - d, -4*j = 2*w - 34. Does 4 div | {
"pile_set_name": "DM Mathematics"
} |
+ (-3)/4. Suppose 0 = -2*t - 0*t + 2. Are d and t unequal?
True
Let t = -457/4 - -115. Which is bigger: 1 or t?
1
Let r = -2 - 0. Let i be -5*(-2)/(1 + -3). Let x = i - -2. Which is smaller: r or x?
x
Let v(a) = 5*a**2 + a - 1. Let x be v(-2). Is 0.1 equal to x?
False
Let p be (-1)/(3/(-4) - -1). Let v = 7 + p. Suppose -3*r + 5*o - 6 = -34, 2*o + 13 = 3*r. Which is greater: v or r?
v
Let q be -144 - 2*(-3)/(-2). Let w be 427/q - 3*-1. Which is bigger: 1 or w?
1
Suppose 25 = 2*u + 7. Let g be ((-60)/35)/6 + 58/7. Is g greater than or equal to u?
False
Let d = -8 + 39. Suppose -4*f + 1 = -d. Which is smaller: f or 7?
7
Let c be 78/10 - 9/(-45). Suppose -3*d + 0*d - 4 = -2*b, -4*b = -5*d - c. Which is smaller: -3/7 or d?
-3/7
Let q be 5/((-34)/4 + 0). Let n = 64/51 + q. Which is smaller: 2 or n?
n
Let g = 521387/5442 + 23/907. Let b = 63 + 32. Let o = b - g. Is -2 greater than or equal to o?
False
Let k(p) = 5*p + 2. Let j be k(-1). Let g be 2/j*24/32. Which is smaller: g or 0?
g
Let w(c) = -4 + c**2 + 2*c**2 + 9 + 5*c - 2*c**2. Let a be w(-4). Which is greater: -2/9 or a?
a
Let o = 52 - 51. Does o = -0.1?
False
Let t = -1.3 - -8.3. Let c = -14 + t. Let n = c - -9. Which is bigger: n or 1?
n
Let a(v) = -9*v + 1. Let k be a(-1). Let l be 23/k - (-3)/15. Which is smaller: 3 or l?
l
Suppose -5*a + q - 5*q = -16, -8 = -2*q. Suppose j + 1 = -a*j. Is -1 at most j?
True
Suppose 4*s + 8 + 2 = 3*q, 0 = 5*s + 4*q - 3. Let u = s - -8/5. Which is bigger: u or 2?
2
Suppose -2*n = -1 - 3. Suppose 0 = -4*o + n*o. Which is greater: 5/6 or o?
5/6
Let o = 1.24 + 2.79. Let x = o + -0.03. Let t = 0 - x. Are 1/2 and t equal?
False
Let x be (-2)/3 + (-96)/(-90). Is -1/6 greater than or equal to x?
False
Let x be (6/(-10))/((-24)/16). Which is smaller: 16 or x?
x
Let v = 5.5 + -1.5. Let u = -7 + 11. Let x = v - u. Which is bigger: x or 2/3?
2/3
Suppose -a - 3*a - j + 13 = 0, 3*a = -3*j + 12. Suppose -a*v = -6*v. Let m = v - -1. Is 1 not equal to m?
False
Let g(x) be the first derivative of -x**4/4 + 5*x**3/3 + 7*x**2/2 - 5*x - 2. Let j = 0 - -6. Let u be g(j). Which is smaller: u or -1?
-1
Suppose 2*b = -4*p + 20, 3*p = -6*b + 3*b + 15. Suppose 7*c = 4*c. Is b greater than c?
False
Suppose v - 7 = 5. Let o(j) = 2*j**3 + 20*j**2 + 5*j + 63. Let x be o(-10). Which is smaller: x or v?
v
Let j = -0.0111 + -401.9889. Let b = j + 412.01. Let z = 10 - b. Is 1/4 not equal to z?
True
Suppose 0 = -21*p + 17*p - 4. Let j(g) = -g**3 - 5*g**2 + 7*g + 7. Let m be j(-6). Is p greater than m?
False
Let r be (10 - 12)/(4/(-2)). Is r greater than 4/25?
True
Suppose -54*c + 67*c = 13. Is 2/29 > c?
False
Suppose -20 = -112*y + 110*y. Is 9 greater than or equal to y?
False
Suppose -29 = -4*o - 5. Do o and 6 have different values?
False
Let l be (-2)/((12/(-9))/(-4)). Which is greater: -8 or l?
l
Let b(j) = j**3 - 2*j**2 - 6*j + 1. Let l be b(4). Suppose 0 = -l*m + 4*m - 85. Which is smaller: -16 or m?
m
Suppose -p + 5*z = -15, -6*z - 12 = -2*p - 5*z. Suppose 0 = m + 4, -p*n - 27 = m - 3. Which is smaller: -3 or n?
n
Let m(o) = -6*o**3 + 5*o**2 + 5*o**3 - 5*o**2 + 4*o**2 + 4*o. Let b be m(5). Let c be -3 + 0 + (-13)/b. Is c < 1?
True
Let d = 4 - 6. Let z be -3 + 5 + 5/d. Suppose -5*v - 10 = -3*q, -2*v + q - 1 = 3. Which is smaller: v or z?
v
Let z be (-1)/2*(-321)/(-143). Let d = z + 15/26. Let k(h) = -2*h + 3. Let i be k(2). Is d at least i?
True
Let i(o) = 4*o**2 + o + 1. Let p be i(-1). Suppose 0 = g + p*g - 15, 4*g + 2 = -2*z. Which is greater: -6 or z?
-6
Let m(r) = 6*r + 7. Let g be m(-5). Is -23 at most g?
True
Let m(j) = -4*j + 0*j - j - j**2 - 2. Let g be m(-3). Suppose g*k = k. Is k equal to -2/5?
False
Let b(c) = c**2 + 4*c - 21. Let p be b(-7). Is p equal to 3/4?
False
Suppose 3*m = -x - 17, x = 4*m + 2 + 16. Let h be 1/4 - ((-15)/12)/(-5). Which is smaller: h or x?
x
Let j = -83 + 83. Is j not equal to 38?
True
Suppose -x + 5*x + 9 = 5*k, 5*x + 6 = k. Let y = -6 + 7. Let v be y - (4/(-3) + 2). Which is smaller: v or x?
x
Let y(h) = h**3 + 13*h**2 + 12*h + 1. Let m be y(-12). Which is bigger: 0 or m?
m
Let m = 15 + -16.5. Let b = m + -1.5. Which is smaller: b or 0.1?
b
Let w(g) = -g**3 + 6*g**2 + 8*g - 3. Let k be w(7). Let c = 1/116 - -217/58. Do k and c have the same value?
False
Let j be (4/8)/((-4)/8*2). Let g be 0 - -1 - 2/4. Which is smaller: g or j?
j
Suppose -4*j = j. Do j and 1/14 have the same value?
False
Let b(s) = -s**2. Suppose a - 3*a - 3 = 5*g, 5*g = 4*a - 9. Let c be b(g). Is c at most 4/11?
True
Let v(f) = f**3 + 4*f**2 + 3*f + 2. Let s be v(-3). Suppose -s*o - o = -3. Let g = 0 - o. Is -1 not equal to g?
False
Suppose -16 = 3*g - 5*s, 3*g + 2*s = -2*s - 25. Let o = 7 + g. Which is smaller: -2/11 or o?
-2/11
Let p = -1.1 + 6.1. Let q = p - 4. Is q less than -1?
False
Let a = 0.19 - -4.71. Let j = a + -5. Which is smaller: 1 or j?
j
Let x(o) = o**3 + 2*o**2 - 3*o - 2. Let k be x(2). Which is bigger: k or 7?
k
Suppose 0 = 5*f + 2*n - 4, -2*f + 3*n - 8*n + 10 = 0. Is 2/9 less than f?
False
Let n be (-4)/63 + (-4)/(-14). Let d be 1 - 0 - (-2 + 4). Which is smaller: d or n?
d
Let q(w) = -5*w**2 + 0*w**2 - 3*w**2 - 3*w - w**3 - 3*w + 3. Let i be q(-7). Let u be -2*(i/14 - 0). Is 0 < u?
True
Let z = 113/9 + -38/3. Let a = -18 + 13. Let o = a + 4. Are o and z unequal?
True
Let a = 0 + 30. Let r be (-51)/a*-2 + -3. Which is greater: -1 or r?
r
Let a = 1229 - 11084/9. Let w be (22/(-28))/(99/286). Let y = w - a. Which is smaller: -1 or y?
-1
Let b = 31 - 32. Let y be (-1 - -1) + (-3 - -4). Let q = -2 + y. Is q at least b?
True
Suppose 4*w + w = -4*x + 47, 27 = 3*x + w. Suppose -3*u + 7*u + x = 0. Is -2 less than or equal to u?
True
Let u = -15 - -15.7. Let o = -1.5 - u. Let m = o - -2. Is -0.1 less than m?
False
Let q(i) = 260*i**2 + 5*i + 6. Let s be q(5). Let k = s - 38849/6. Let f = -56 + k. Is 0 not equal to f?
True
Let c = 3 - -6. Let h(b) = -b**2 + 9*b + 1. Let u be h(c). Which is smaller: 2/21 or u?
2/21
Suppose m + 4 = 2*m. Let b(q) = 3*q - 4 - q**2 + 0*q + 9. Let w be b(m). Is -3 bigger than w?
False
Let y = 14/121 - -151/121. Which is smaller: 1 or y?
1
Let s = 3.2 + -3.3. Which is smaller: 22 or s?
s
Let j = 3 - -9. Suppose -5*h + 15 = -5. Suppose 1 = -5*x + 16, h*x - j = 5*g. Is g <= -1/4?
False
Let m(u) = u**3 + 2*u**2 - 5*u - 4. Let w be m(-3). Suppose -n = n - w*t + 4, 3*n + t - 2 = 0. Does 0 = n?
True
Let o be -1 - 5/((-20)/104). Let c = 36 - o. Do 10 and c have the same value?
False
Let a = -2 - -20. Let q be (-27)/a*(-8)/(-3). Let n(t) = -t**2 + 3*t + 7. Let w be n(5). Which is smaller: w or q?
q
Let u be 1 + (-42)/(-4) - (-1)/6. Is 12 smaller than u?
False
Let r = -20 - -28. Suppose 5*d - 3*d = r. Let x(l) = l**3 - 5*l**2 + 3*l + 4. Let u be x(d). Is u < 2/13?
True
Let s(y) = -y + 2. Let d be s(-4). Suppose -1 + d = 5*r. Let l = 9/7 + -88/63. Are l and r equal?
False
Let a = -15 - -4. Let d = 3 + a. Which is smaller: d or -7?
d
Let a = -1.45 - 0.05. Let t = 0.9 + a. Let d = t - -0.7. Are -1/2 and d equal?
False
Suppose -2*u - 5 = 5*s, -3*s + 2*s - 1 = 5*u. Suppose 5*v - 2*v = u. Which is smaller: v or 1?
v
Let z be 904/(-2448) - 2*(-1)/9. Which is smaller: -1 or z?
-1
Let d(t) = t**2 + 12*t + 1. Let o be d(-12). Suppose -2*v - 9 = v, -5*v - 13 = y. Which is greater: y or o?
y
Let j(l) = -l**3 + 13*l**2 - 7*l - 23. Let k be j(12). Which is greater: 36 or k?
k
Let c = -347.01 + 353. Let v = c + 0.01. Let u = 8 - v. Which is smaller: u or 0?
0
Suppose -2 = -2*q + 2. Suppose 0 = -3*u + q*u + 3. Let f be (2/(-4))/((-2)/16). Are f and u non-equal?
True
Let l = -23 + 16. Let w(t) = -t - 6. Let h be w(l). Which is greater: 3/7 or h?
h
Let f be 2/(-3)*-6*1. Suppose 5*a - 3*j + j = 79, f*j + 23 = a. Let x be 1/a + 6/(-15). Which is greater: 0 or x?
0
Suppose 4*g = -h + 3, 0 = 4*h + 2*g + g - 12. Suppose h*l = -0*l - 6. Let z = 13 + -15. Is l greater than or equal to z?
True
Suppose 0 = 5*r - 3*w - 18, 0*r - 4*w + 4 = -2*r. Suppose 0*y + 5*i = -2*y - 10, -3*i = r. Which is smaller: y or 1/2?
y
Suppose -709 = -2*c - c - l, l - 239 = -c. Let m = c - 2117/9. Let k be (0 - 1)/(2 + -3). Is k less than m?
False
Let s(d) = d**2 - 7*d + 3. Let o be (-4 - 3)*12/(-14). Let q be s(o). Do -4 and q have different values?
True
Let l be 8/(-270)*(-3)/(-2). Is l bigger than | {
"pile_set_name": "DM Mathematics"
} |
532*a for a.
-22
Solve 0 = 8*a + 71039 - 71023 for a.
-2
Solve -544*r - 540*r - 12 = -1086*r for r.
6
Solve -144*m = -1640 + 56 for m.
11
Solve -399*j - 2 = 239 - 1438 for j.
3
Solve -492 = -373*g + 496*g for g.
-4
Solve 0 = -11*a + 62 - 41 + 34 for a.
5
Solve -658 + 430 = -19*d for d.
12
Solve 508*v - 567*v = -649 for v.
11
Solve 47*z - 1273 + 1696 = 0 for z.
-9
Solve 168 = 22*y - 118 for y.
13
Solve -178*k + 55*k + 462 = -90*k for k.
14
Solve 22*c + 101 - 50 - 139 = 0 for c.
4
Solve 183*j + 31074 = 35283 for j.
23
Solve 71*k - 471 = -107*k - 115 for k.
2
Solve -19*t - 10*t + 5*t = 168 for t.
-7
Solve -20*w - 70*w + 1350 = 0 for w.
15
Solve -188*d = -3490 + 3866 for d.
-2
Solve 18*i = 5*i - 19*i + 416 for i.
13
Solve 60 + 251 = -36*n - 265 for n.
-16
Solve 372 = -17*g + 13*g + 66*g for g.
6
Solve 518 - 1114 = -39*p - 518 for p.
2
Solve -61*l + 69*l = -206*l + 2996 for l.
14
Solve 0 = 212*s - 1602 - 1154 for s.
13
Solve 665*y - 504*y - 966 = 0 for y.
6
Solve -30*r - 616 = -226 for r.
-13
Solve 428*j - 442*j = -196 for j.
14
Solve -887*q - 560 = -915*q for q.
20
Solve 0 = -161*u + 44*u - 56*u + 173 for u.
1
Solve -4245*p + 4243*p = -38 for p.
19
Solve -26578 + 26650 = 12*x for x.
6
Solve -6559 = -194*p + 1131*p for p.
-7
Solve 373*a + 873 + 418 = -947 for a.
-6
Solve -10*f - 201*f - 2*f + 2130 = 0 for f.
10
Solve -74*a + 2415 = 12*a - 17*a for a.
35
Solve 1284 = -62*r + 416 for r.
-14
Solve 944*c = -4164 - 556 for c.
-5
Solve -10*v - 17*v + 204 = 7*v for v.
6
Solve 0 = 183*y + 4550 + 25 for y.
-25
Solve -891 = -242*u + 161*u for u.
11
Solve -20*v + 5 + 4 = -21*v for v.
-9
Solve -531 = -25*y - 481 for y.
2
Solve -83*x + 4368 = -65*x + 294*x for x.
14
Solve 205 - 547 - 118 = -230*i for i.
2
Solve -51*a - 1080 = -213 for a.
-17
Solve -211*w = -232*w + 126 for w.
6
Solve 5192 = 70*i - 719*i for i.
-8
Solve 9441*f - 9697*f - 2560 = 0 for f.
-10
Solve 9577*p - 9560*p + 374 = 0 for p.
-22
Solve -804*i - 108 = -813*i for i.
12
Solve 45*d + 13*d + 546 = 16*d for d.
-13
Solve -1265 + 42 = -446*n + 1007 for n.
5
Solve -40928*b + 75 = -40933*b for b.
-15
Solve -41 = 18*j + 84 + 109 for j.
-13
Solve -17*x = -12*x + 10*x + 150 for x.
-10
Solve -69*m = -77*m + 8 for m.
1
Solve -22*m = 76*m + 980 for m.
-10
Solve 344*r - 1925 = 519*r for r.
-11
Solve 88*s - 38*s = 52*s - 28 for s.
14
Solve -3*k - 900 = -50*k - 28*k for k.
12
Solve -14*s = -201 - 23 for s.
16
Solve 1066*s = 1091*s + 125 for s.
-5
Solve -245*o + 33 = -503*o + 247*o for o.
-3
Solve 83*b + 870 + 65 = -2053 for b.
-36
Solve 99 + 337 = -238*v - 754 for v.
-5
Solve -139*g = 108*g - 225*g + 396 for g.
-18
Solve 0 = -960*v + 1258*v - 4768 for v.
16
Solve -238 = 344*h - 307*h + 95 for h.
-9
Solve 2408 = -41*c + 1916 for c.
-12
Solve -45*p - 240 = -4 - 56 for p.
-4
Solve 0 = 86*g - 720*g - 8330 + 1990 for g.
-10
Solve 768*z = 918*z - 3450 for z.
23
Solve -3670*f + 3674*f + 96 = 0 for f.
-24
Solve 25*y + 25*y + 28 = 64*y for y.
2
Solve -7*w - 5*w = -85 + 1 for w.
7
Solve -177*v + 40*v = 59*v + 4900 for v.
-25
Solve 209*z - 201*z + 8 = 0 for z.
-1
Solve 8 = -64*n + 68*n for n.
2
Solve -3504 = -83*j - 136*j for j.
16
Solve -1427*o + 1441*o = 154 for o.
11
Solve 128*h + 10 = 133*h for h.
2
Solve 29 = -1193*u + 1164*u for u.
-1
Solve -248 + 473 + 554 = 41*c for c.
19
Solve -380 - 250 = -17*c + 87*c for c.
-9
Solve 0 = -266*g - 577 - 1019 for g.
-6
Solve 500*z + 1470 = 5970 for z.
9
Solve 0 = -47*w + 5570 - 5523 for w.
1
Solve 27 = -29*q - 60 for q.
-3
Solve 1215 = 4733*s - 4814*s for s.
-15
Solve 303*s + 588 = -220*s + 439*s for s.
-7
Solve -480 = 245063*d - 245079*d for d.
30
Solve 903*c + 5530 = 350*c for c.
-10
Solve 11506 - 12570 = 76*u for u.
-14
Solve 41*g = 54*g - 156 for g.
12
Solve -32103*w - 72 = -32115*w for w.
6
Solve 10136 = 992*r - 8430 - 5242 for r.
24
Solve 30*v = 1739 - 1127 - 1032 for v.
-14
Solve -83*q + 312*q - 2519 = 0 for q.
11
Solve 23*o = -34*o + 15*o - 210 for o.
-5
Solve 67 = -88*j - 532 - 193 for j.
-9
Solve -5172 = -306*b - 1806 for b.
11
Solve -9*t + 30*t = 15*t for t.
0
Solve 23314 + 4910 = -169*y + 1177*y for y.
28
Solve 24*t = -95*t - 57*t + 3168 for t.
18
Solve 107*w + 3692 = 7*w - 184*w for w.
-13
Solve 0 = 2555*y - 2605*y - 300 for y.
-6
Solve 759 = 12*i + 687 for i.
6
Solve -202 = -21*k - 412 for k.
-10
Solve -462*p + 1098 - 565 = -853 for p.
3
Solve -15*b + 1330 = 65*b - 10*b for b.
19
Solve 15*o - 384 = -81*o for o.
4
Solve 346*a + 117 = 337*a for a.
-13
Solve 0 = 2*y + y + 11*y - 28 for y.
2
Solve 263*b = 168*b - 760 for b.
-8
Solve -717*t + 12412 = -4796 for t.
24
Solve 306*n - 138*n = -735 - 777 for n.
-9
Solve -7 = 38*y - 6 - 1 for y.
0
Solve 4582 = -476*g - 1379 - 1655 for g.
-16
Solve -80*b - 8696 = -9736 for b.
13
Solve 1294*b - 1117*b = -4956 for b.
-28
Solve -a - 44 - 16 = -6*a for a.
12
Solve 5*j = 15 - 30 for j.
-3
Solve -528 = 110*w + 109 + 1453 for w.
-19
Solve -680 = -8313*z + 8177*z for z.
5
Solve -243*d + 233*d = -40 for d.
4
Solve -114*l - l = -25*l - 1980 for l.
22
Solve -221*n - 260 = 1522 + 870 for n.
-12
Solve -24 = -20*j - 84 for j.
-3
Solve 106*v + 1362 + 916 = -28*v for v.
-17
Solve 6268 - 6925 = -219*h for h.
3
Solve 458*a = 903*a + 15575 for a.
-35
Solve 13*w - 21*w + 660 = 58*w for w.
10
Solve 497*a + 45 - 7997 = 0 for a.
16
Solve -2528*n + 2525*n = -27 for n.
9
Solve s - 18 = 2*s - 3*s for s.
9
Solve 3*l + 24*l + 919 + 53 = 0 for l.
-36
Solve 84*r - 40 - 50 = -6 for r.
1
Solve -95*i - 86*i - 247 = -162*i for i.
-13
Solve -194*v + 78 = -42*v + 2814 for v.
-18
Solve 389*l - 2562 = 47*l + 1542 for l.
12
Solve 0 = 2*k + 87*k - 14 - 253 for k.
3
Solve -161*b + 45 = 850 for b.
-5
Solve 0 = 115*t - 430 - 1180 for t.
14
Solve -18*r - 82 = 39 - 157 for r.
2
Solve -42*t + 132*t + 135*t - 2475 = 0 for t.
11
Solve 0 = 344*k - 11676 + 4796 for k.
20
Solve 176*d - 752 = 218 + 1142 for d.
12
Solve 4777 = -80*w - 201*w for w.
-17
Solve 418*l = 606 - 16072 for l.
-37
Solve 55*x + 39*x = 110*x - 64 for x.
4
Solve -106*f + 109*f = 57 for f.
19
Solve 5419 - 2037 = 321*b - 7853 for b.
35
Solve 442 - 148 = -76*z - 162 for z.
-6
Solve -195*d + 283*d - 2552 = 0 for d.
29
Solve 15*x - 14502 + 14652 = 0 for x.
-10
Solve 103*r - 304 = 27*r for r.
4
Solve 1065 = 88*k + 1297 + 1616 for k.
-21
Solve -13*u - 436 + 352 = -u for u.
-7
Solve -15*d = 6*d - 27 - 225 for d.
12
Solve -206 = 47*w - 262 - 273 for w.
7
Solve 0 = -11*p - 5891 + 5902 for p.
1
Solve 84 = 27*k + 516 for k.
-16
Solve 140 = -22692*w + 22682*w for w.
-14
Solve b + 159 = -51*b - 829 for b.
-19
Solve 3*l - 24*l - 30*l + 510 = 0 for l.
10
Solve 2260 + 1682 = 557*q - 119*q for q.
9
Solve 10*j = 78 - 58 for j.
2
Solve -78*r - 29*r - 96*r + 2030 = 0 for r.
10
Solve 0 = 9*a - 45*a - 45 - 279 for a.
-9
Solve 545 = -118*y - 517 for y.
-9
Solve -114*d = -152 - 2304 - 52 for d.
22
Solve -23*k = -197 - 10 for k.
9
Solve -264*j = 204*j - 509*j + 902 for j.
22
Solve -58*o + 876 = -34*o - 316*o for o.
-3
Solve 70*v = 249*v - 537 for v.
3
Solve 1444*w = 1428*w + 80 for w.
5
Solve -269*n + 1270 = -1420 for n.
10
Solve 912 = -361*o + 133*o for o.
-4
Solve 55*v - 826 = 468*v for v.
-2
Solve -27 - 94 = -11*c for c.
11
Solve -27*z + 660 = 17*z for z.
15
Solve 0 = -22130*m + 22102*m + 308 for m.
11
Solve -83*q = -77*q + 22 + 56 for q.
-13
Solve 4*h + 2299 = 108*h + 17*h for h.
19
Solve -166*l = 150*l - 106*l + 6720 for l.
-32
Solve -414 = -875*m + 737*m for m.
3
Solve -485 = 43*m + 289 for m.
-18
Solve -8099*t = -8093*t - 150 for t.
25
Solve 5168 = -61*t - 897*t - 580 for t.
-6
Solve 1937 = -711*w + 64*w - 4533 for w.
-10
Solve -3377*s = -3357*s + 140 for s.
-7
Solve 10*v = -2*v - 221*v - 1165 for v.
-5
Solve 32*n + 14*n = -276 - 138 for n.
-9
Solve -15 = -107*k + 110*k for k.
-5
Solve 8*x - 40*x - 103 = 249 for x.
-11
Solve -2668*x = -2646*x - 198 for x.
9
Solve 101332*q - 101349*q - 612 = 0 for q.
-36
Solve -3*x = 5*x + 177 - 241 for x.
8
Solve 30*x - 13*x + 43*x + 2040 = 0 for x.
-34
Solve 6899 + 7552 = 495*z + 2076 for z.
25
Solve -391 + 1061 = -194*w - 1658 for w.
-12
Solve 0 = 11*h + 69 + 17 - 9 for h.
-7
Solve 0 = 319*k + 3384 + 1401 for k.
-15
Solve 0 = -59*s + 55*s + 24 for s.
6
Solve -u - 358 - 353 = -724 for u.
13
Solve -27*o - 520 = o - 16 for o.
-18
Solve 49*j - 80*j - 372 = 0 for j.
-12
Solve -248*p + 703*p = 5 | {
"pile_set_name": "DM Mathematics"
} |
0.1 in -11, -20, 95?
-11
Which is the closest to 0.07? (a) 2/3 (b) 25 (c) -0.78 (d) -0.3
d
What is the nearest to 32 in -5, -3/178, -0.4, 5, -3?
5
What is the nearest to 1 in -294, -2, -0.02, 0.5, 140?
0.5
Which is the nearest to 2/41? (a) 40.3 (b) -0.2 (c) 4
b
What is the closest to 4 in -1, 6/17, 3, 0.3, -2/23?
3
Which is the closest to -0.1? (a) 44 (b) 2/15 (c) -2.6 (d) -0.3
d
Which is the nearest to 4? (a) -2 (b) -0.3 (c) 3/4 (d) -370.7
c
What is the closest to 6 in 2/17, 0, -1, -2, -0.37?
2/17
What is the nearest to 0 in 6/7, 17, -0.09, -0.04, -5/6?
-0.04
What is the nearest to 4 in 1.9, -0.4, -1, -4, 50?
1.9
What is the closest to 3/5 in 26, -12/5, -1?
-1
What is the closest to 0 in 2, -1, 6, 108.6, -2/3?
-2/3
What is the nearest to 140 in -0.9, 0.3, 4, 2/9?
4
Which is the closest to 2/7? (a) 3/8 (b) 0.1 (c) -2/3 (d) 724
a
What is the nearest to 0 in -2, 189, 0, -3/4, 1/5?
0
What is the nearest to 1 in 1348, -0.5, 4, 11?
-0.5
Which is the nearest to -1? (a) 15 (b) -0.2 (c) -3 (d) 3 (e) 3/16
b
Which is the nearest to -2/5? (a) -14 (b) -5/8 (c) 13/8
b
What is the nearest to -0.3 in -160, -2, -8?
-2
What is the closest to 0.037 in 229, -2/13, -5?
-2/13
What is the closest to -0.5 in -1/9, 9/4, -0.8, 4/7?
-0.8
Which is the closest to 4/7? (a) 2 (b) -0.8 (c) 3
b
Which is the closest to -1? (a) -0.4 (b) 0 (c) -244.6 (d) -0.5
d
Which is the closest to -2/5? (a) -19 (b) -0.03 (c) -11 (d) 1
b
What is the nearest to -1 in 1/77, 5, -1.34, -1/4, 3?
-1.34
Which is the nearest to 1/3? (a) 87 (b) 14 (c) 0.4 (d) 1 (e) -3
c
Which is the nearest to 23? (a) 2/11 (b) 1.7 (c) -2/81 (d) 4
d
What is the closest to -7 in 2/19, -0.0563, -2?
-2
What is the nearest to -0.3 in 33, -5, 3, -1/5, 0.047?
-1/5
What is the closest to 1 in -0.5, -1366, 1, -0.3, -2?
1
Which is the closest to -4? (a) 38 (b) 2/3 (c) -6/245 (d) -0.1 (e) -0.3
e
What is the closest to -1/6 in -2/11, -7/4, -71?
-2/11
What is the nearest to 5 in 0.3, 0, -17, 1/4?
0.3
What is the nearest to 80 in 0, 1097, 1, -4?
1
What is the nearest to 10 in -1842, -2/7, -3?
-2/7
What is the nearest to 2 in 5, 4, 1/3, 1/6?
1/3
Which is the closest to -0.1? (a) 9 (b) -1 (c) -2 (d) 1/3
d
Which is the nearest to 0.4? (a) 7 (b) 2/9 (c) 1/31 (d) -4 (e) 14
b
Which is the closest to 22? (a) 16 (b) -16 (c) -3
a
Which is the closest to 2/5? (a) 0.5 (b) -2 (c) 4 (d) 0.08
a
Which is the nearest to -0.3? (a) 5 (b) -15/29 (c) 0
b
Which is the closest to -0.3? (a) 0.3 (b) -13 (c) 1/47 (d) -4
c
Which is the nearest to 1? (a) -2081 (b) -3 (c) 3 (d) -10
c
Which is the nearest to -2? (a) 3617 (b) -2/11 (c) 0.01
b
Which is the nearest to 0? (a) -18/1111 (b) -0.5 (c) 0.2 (d) -3/5
a
Which is the closest to 382/37? (a) -1/2 (b) 12 (c) -0.2 (d) 0.5
b
What is the closest to 5/3 in -4, -3, 0.5, -0.137?
0.5
Which is the closest to -1? (a) -0.4 (b) -1928 (c) -0.11 (d) -1
d
What is the nearest to -8018/5 in -5, -1, -1/2, 5?
-5
Which is the closest to 0? (a) 103 (b) -1/2 (c) 0.075 (d) -2
c
What is the closest to -4 in 0, 2, 1/7, -2?
-2
Which is the closest to -1/11? (a) -4/9 (b) 4 (c) -4780
a
Which is the nearest to 385? (a) -4 (b) -0.1 (c) -0.06
c
What is the nearest to 0.1945 in 3.3, 2, 2.4?
2
What is the nearest to -13 in -0.6, 5/7, 2/9, 3, -3?
-3
Which is the closest to 40? (a) -1/7 (b) 3/8 (c) 17 (d) 2
c
Which is the closest to 0.1? (a) 45.2 (b) 4 (c) -2/3 (d) 12
c
Which is the closest to 7? (a) -490 (b) -1/7 (c) 0.1
c
Which is the nearest to -5.2? (a) -3 (b) 2 (c) 5 (d) 1
a
Which is the nearest to -1? (a) 3 (b) 2 (c) 0.3 (d) 13395
c
What is the nearest to 27 in 17.5, 0.3, -19, 4?
17.5
What is the closest to 0 in 0.09, 0.156, -4, -1/11, 0.3?
0.09
What is the nearest to -0.1 in 1.4, 3, 1.1, -1/3, -64?
-1/3
Which is the nearest to 1/23? (a) 3 (b) -251 (c) 1.8
c
Which is the nearest to 0.5? (a) 42 (b) 11 (c) 0.2
c
Which is the closest to -4? (a) 15/28 (b) -5 (c) 1 (d) -1/5
b
What is the closest to -1494 in -3, 57, 4?
-3
What is the nearest to -9 in -10/83, 3, 0, 4?
-10/83
Which is the closest to -2/33? (a) -1 (b) 0.2 (c) 2 (d) -38/3 (e) 4
b
Which is the nearest to 1? (a) 2/5 (b) 1 (c) 51 (d) -3/2
b
What is the nearest to 5 in -4, -15, 250/11?
-4
What is the closest to 2/7 in -3, -1, -8, 0.05?
0.05
Which is the nearest to 0.11? (a) -15 (b) 0 (c) 1/6 (d) 3
c
What is the closest to 0.1 in -1/7, -8, 2/5, 31.3?
-1/7
Which is the nearest to -4? (a) 32 (b) -1/8 (c) 4 (d) -0.03
b
Which is the closest to 2? (a) 0.5 (b) 3/4 (c) 1
c
What is the nearest to -0.1 in 18, -1, -416?
-1
What is the closest to -1 in -5/2, 5925, -2/7?
-2/7
Which is the nearest to 1/6? (a) 1 (b) -27 (c) -51
a
Which is the nearest to 2/3? (a) -80/11 (b) 22 (c) -1/2 (d) 0 (e) 1
e
What is the nearest to -0.002 in 2, 39, 4, -1/5?
-1/5
Which is the nearest to 1? (a) -5 (b) -0.5 (c) 92/9 (d) -25 (e) 2/3
e
Which is the nearest to 2? (a) -0.3 (b) 1.6 (c) 0.11 (d) 5
b
What is the closest to -2 in -0.1, 29, 0.4, 50?
-0.1
What is the closest to 172 in -65, 3, -2?
3
What is the nearest to 4/55 in -0.8, -5/13, -0.4, 0.1, -3/7?
0.1
What is the closest to 6 in -101, 0, 0.4?
0.4
What is the nearest to 2/3 in 1/2, 4, -24?
1/2
Which is the closest to 1/3? (a) 1/4 (b) 3/5 (c) 0 (d) 11/492 (e) -0.2
a
What is the nearest to 0 in 2, -15, 0.4, 0.11, -16?
0.11
What is the nearest to -17 in 6/5, -0.5, -2/67?
-0.5
What is the closest to -38/23 in 23, 4/3, -2/11, -0.2?
-0.2
Which is the closest to 0.2? (a) -1 (b) -3 (c) 1/2 (d) -52 (e) -7
c
Which is the nearest to 2? (a) -8 (b) -4 (c) -0.806 (d) -3/2
c
What is the closest to 2 in 2, -79, 14?
2
Which is the closest to 160/3? (a) -17 (b) -1.1 (c) -2
b
Which is the nearest to -25/6? (a) 5 (b) -20.4 (c) -4
c
What is the closest to 5/5557 in -0.3, 3, 2/17, 1, 4?
2/17
Which is the closest to -2/5? (a) -64 (b) -1 (c) 130 (d) 3
b
Which is the closest to 1? (a) -0.4 (b) 2/47 (c) 2/7 (d) -7/4 (e) 4/7
e
Which is the nearest to 1? (a) -5 (b) -17 (c) 216 (d) -4 (e) -0.5
e
What is the nearest to 0 in 0.3, -0.87, -56, -0.17?
-0.17
Which is the closest to 7658? (a) 1/4 (b) 0.1 (c) 3
c
What is the nearest to -2 in 0, 2/15, -0.02, 5, -5?
-0.02
What is the closest to -0.408 in 2/9, -4/9, -5, -2/15?
-4/9
Which is the nearest to 0.1? (a) 229/2 (b) 2/13 (c) -25
b
Which is the nearest to -2/3? (a) 29 (b) 4 (c) 0 (d) -5/222 (e) -4
d
Which is the nearest to -1/6? (a) 5 (b) 2236 (c) 0 (d) 8
c
What is the nearest to -0.2 in -1, -0.3, 0.665, 1?
-0.3
What is the closest to -3 in 7/2, 2/19, -2, -318?
-2
What is the closest to 6620 in -3/8, 4, 1/7?
4
Which is the nearest to -15/4? (a) -16/9 (b) -3 (c) 2 (d) 4
b
What is the nearest to 1 in -0.06, 1/3, -1, -369/5, 5/4?
5/4
Which is the closest to -351? (a) 0.4 (b) 0.058 (c) -16 (d) -4
c
Which is the closest to 1/2? (a) 0.03 (b) 9/25 (c) -2/15 (d) 3/32
b
Which is the nearest to 2? (a) -1/5 (b) -0.16 (c) -1/20 (d) -3/2
c
Which is the closest to 0.1? (a) -0.2 (b) 79558 (c) -2/7 (d) -1
a
What is the nearest to 0.8 in -487, 5, -4?
5
What is the closest to 8.4 in -2, 0.385, -2/7?
0.385
What is the nearest to 0.4 in 3, 0.2, 2/5, 3/2?
2/5
Which is the nearest to 1? (a) 0.01 (b) 0 (c) -8.1 (d) -2/3
a
Which is the nearest to -3625? (a) 5 (b) 1/7 (c) 0.1
c
What is the closest to -0.2 in 0.153, 0.08, -3, -2/5?
-2/5
What is the nearest to 125 in -1, 0.1, -0.05, 0, -146?
0.1
Which is the nearest to 2/21? (a) 0 (b) 0.066 (c) -0.9
b
What is the nearest to -30 in 3, -3, -5, 5?
-5
Which is the closest to 3.6? (a) 9256 (b) 0 (c) -1/5
b
What is the closest to -0.2 in 76/33, 4, 2/21, -1, -1/3?
-1/3
What is the closest to -0.1 in 5/4, -0.4, 1/891, -0.05?
-0.05
What is the nearest to 3 in -0.4, -5/2, 1, -1632, 4?
4
Which is the closest to 6? (a) 1/20 (b) -2 (c) -5 (d) -1
a
Which is the nearest to -0.2? (a) 0.4 (b) 1/2 (c) 169 (d) 9
a
What is the nearest to 1 in -1087, -0.4, 1/6, -8/9?
1/6
Which is the closest to -7/12? (a) -1/9 (b) -4 (c) 1/2 (d) -23
a
Which is the closest to 3? (a) -1.11 (b) -0.01 (c) 4/7 (d) 3
d
Which is the nearest to 1/3? (a) -120 (b) -5 (c) -6/11 (d) 2/9
d
What is | {
"pile_set_name": "DM Mathematics"
} |
(-1/3))/(f/(f*f*f**(-5)))*f**0*f*f*f/(f*f/(f**0/f*f)*f)*f assuming f is positive.
f**(-6868/21)
Simplify ((h**0)**2*(h*h**(1/3))**(-33))/((h/(((h/(h*(h*h*h*h*h**(2/3)*h)/h))/h)/h)*h)**(3/11)*h**(-6/7)/h**5) assuming h is positive.
h**(-3119/77)
Simplify ((s**(1/5)*s)/s**39)/(s**4)**21 assuming s is positive.
s**(-609/5)
Simplify ((((w**6*w*w*w)/w)/w*w)/w*w*w*w**0/w)**7/((w*((w/w**0)/w)/w)**(5/2)/(w**0)**47) assuming w is positive.
w**56
Simplify ((k/(k/(k*k*k**(-2/11))*k)*k*k)/(((k*(k*k/(k*k/k**(-7/6)))/k)/k)/k))**(2/77)*(k**(-4/5)*k*k**(3/2)/k)**(-24) assuming k is positive.
k**(-211469/12705)
Simplify ((l*(l**(-1)*l)/l*l*l*l/(l**(-2/7)/l))/((l/l**(-8))/(l/(l/((l*l*((l**(3/8)/l)/l)/l)/l)))))**(-10) assuming l is positive.
l**(1775/28)
Simplify (((i**(-13)/i**(-1/2))**13)**(28/3))**42 assuming i is positive.
i**(-63700)
Simplify ((v**16*v*v**(8/3))/(v**(-1/5)*v**17))**(-9/8) assuming v is positive.
v**(-129/40)
Simplify o**2/(o**0*o)*((((o/o**(-1))/o)/o)/o*o)**(-6)*((o*o/((o/o**7)/o*o))/(o/(o**(-5)/o)))/(o/(o/(o**(-2/5)/o)))**(-22/3) assuming o is positive.
o**(-124/15)
Simplify ((r**(1/2)*r**(-11))/(r**5*r)**4)**(4/27) assuming r is positive.
r**(-46/9)
Simplify ((q/q**(-6)*q/q**(-2/17)*q)/((q*q*q**6)/(q*q**5)))/((q**(-1/4))**(-1/47))**(3/5) assuming q is positive.
q**(113689/15980)
Simplify (((r/(r**20*r))/(r/(r/(r/(r**12/r)))))/((r**(-11)*r)/r**14))**(4/25) assuming r is positive.
r**(56/25)
Simplify (((t*t*t*t**44)/t*t**(-34)/t)/(t/(((t**(-24/11)/t)/t)/t*t*t)*t*t**44))**(-31) assuming t is positive.
t**(13020/11)
Simplify ((((r**(4/3)*r)/r)/(r/(r/(r/(r/r**(-2/9))*r))))/(r**0)**(-1/31))/(r**(-5/4)/(r/(r*r**(3/4)))*r**5/(r**1*r)) assuming r is positive.
r**(-35/18)
Simplify (((i**4/i)/i**(1/2))/(i**(-1))**(-35))/((i**0)**38/(i/(i*i/i**0)*i)**4) assuming i is positive.
i**(-65/2)
Simplify (y**11*y**8)**(-1/46)/((y**0)**13*(y**(-2/9)/y)**(-35)) assuming y is positive.
y**(-17881/414)
Simplify ((((n/(n/n**(-11)))/n*n/n**(1/7))**(1/40))**(-12))**(2/17) assuming n is positive.
n**(234/595)
Simplify ((s**1*s/(s/(s*s**(5/6)/s)))/(s*s**(-1/5)*s*(s*s**1/s)/s))/(s**6*s*(s/(s*s**(-3)/s))/s*s/(s/s**6*s)*s**(-6)/s) assuming s is positive.
s**(-239/30)
Simplify ((u/u**(6/7))/(u/(u**(-7)*u))*(u*u**(-7/4)/u)**(-3/10))**(-11) assuming u is positive.
u**(19503/280)
Simplify ((v**(2/5))**(-1/3))**(-41)/((((v*v*v*v/(v*v**(-4/5)*v))/v)/((v*v**(-2)*v)/v*v))/((v*v**(1/9)*v)/v**(1/9))) assuming v is positive.
v**(17/3)
Simplify ((n**(-2)/n)**(-42))**11/(n**(1/6)/n**1*(n*n**(-1/10)*n)/n**(-4/3)) assuming n is positive.
n**(6918/5)
Simplify (v**3/(v/v**(-2/13))*((v/(v*v**0))/v*v)**16)/((v**(-1))**(-25))**(-7/3) assuming v is positive.
v**(2347/39)
Simplify (u*u**(2/5)/u*u/(u*u**(2/21))*u)**(6/7)*((u/u**4*u)**(-1/16))**1 assuming u is positive.
u**(2437/1960)
Simplify (b**(4/7)/((b**(3/4)*b)/b))**43*b**(-1/7)*b*b**(-3/2)*b*b**2*b*b*b**(-5) assuming b is positive.
b**(-233/28)
Simplify ((y*y*y/(y/(y**(1/2)/y)*y)*y*y*y/(y/(y**(2/7)/y)))/(y**(2/11)*y**5*y))/((y*(y**0*y)/y)/(y/(y/(((y/y**2)/y)/y)))*(y**0)**(-5/2)) assuming y is positive.
y**(-1293/154)
Simplify (((w**(-1))**(-44)/(w**5/(w**(-4)/w)))**(-1))**(-1) assuming w is positive.
w**34
Simplify ((((d**(-1/3)*d*d)/(d/d**(-1/2)))/((d*d*(d*d**8)/d)/((d*d**(6/11)*d)/d)))**(-8))**12 assuming d is positive.
d**(8752/11)
Simplify j/(j**(-8/9)*j)*j**(-14/5)/j*j*(j/(j*j*j**(1/44)))/j**(-24/11) assuming j is positive.
j**(-1489/1980)
Simplify (t**(1/8)/t**5)/(((t**(-6)*t)/t)/(t/((t/(t/t**(-3/4)))/t)))*((t/t**(3/10))/t)/t**(1/2)*(t**(-1))**7 assuming t is positive.
t**(-157/40)
Simplify (((u**(3/5)*u**(-10))/(u**(-5/3)*u/u**5))**(2/63))**(1/44) assuming u is positive.
u**(-4/1485)
Simplify ((k**(1/4)/k)**(-44)/((k*k*k*k/(k**(-1/2)*k)*k*k)/k)**(9/8))/(k/(k/(k*k*(k**(-11)*k*k)/k))*k**(3/8)/k)**(-9) assuming k is positive.
k**(-795/16)
Simplify (k**25/(k**(23/2)/k)*(((k**6/k*k)/k)/k)/(k*((k*k**(-3/7))/k*k)/k))**(25/2) assuming k is positive.
k**(6275/28)
Simplify (t**(2/25))**36/((t*(t*t**(19/2)*t)/t)/t*t**(15/8)) assuming t is positive.
t**(-1899/200)
Simplify (m**(-2)/(((m*m*m**(2/21)*m)/m)/m)*(m/(m*m**(-27)))**(-9/4))**(-7/5) assuming m is positive.
m**(5363/60)
Simplify (((((n**(-3/4)*n)/n)/n*n)/(n*(n/n**26)/n))/(n/n**(3/8))**(-44))**(-17/2) assuming n is positive.
n**(-3519/8)
Simplify ((c*c*c*c**(-2/5)*c*c)**(29/3))**0/(c**(-1/2)/((c/c**(-2/3))/c)*(c**2)**12) assuming c is positive.
c**(-137/6)
Simplify ((r/((r**(-3)/r)/r))/(r/(r/(r/r**1))))/(r/r**(-1))**(8/3)*((r**1/r)**28)**41 assuming r is positive.
r**(2/3)
Simplify (a**(-5/3)*(a**(-1/9)/a)/a)/(a/a**(1/3))**50*((a*(a**(-1/5)/a)/a*a)**(-22))**(-7/8) assuming a is positive.
a**(-7373/180)
Simplify (r**3)**(4/9)*r**(-4/27)*r*((r/(r*r**(23/2)))/r)/r assuming r is positive.
r**(-611/54)
Simplify (a**(-8)*a/(a*a**0)*a)/(a**(1/12)/(a**(-3/10)/a))*(a**2/(a*(a**(-6)/a)/a))/(((a*a**(-7)*a)/a*a)/(a*a**(1/3)*a*a)) assuming a is positive.
a**(179/20)
Simplify (q*q/q**0)**(1/10)*q**(-3)/(q/q**7)*(q/q**(-5))/(q*q/(q/(q*q**(-3/2))*q))*(q*q**2)/q**(1/14) assuming q is positive.
q**(442/35)
Simplify ((y/y**(-3/4)*y**(-5))/(y*y*y**(-2/7)/y)**(-46))/((y/y**(-2/17))/(y/(((y*y**(-2/7)/y)/y)/y))*y**(-8/7)/y**(-2/13)) assuming y is positive.
y**(202745/6188)
Simplify c**(-11)/c**(9/7)*c**(-2)*c**13 assuming c is positive.
c**(-9/7)
Simplify ((o/(o*o**(3/11)*o))/o)**(2/37)*(o**(-39)/o)/(o/o**(-12/5)*o) assuming o is positive.
o**(-90604/2035)
Simplify (((z*z/(z/(z/z**0)))/z)/z**(-7))**(-2/25)*(z/z**2)**(-3)*(z**1/z)/z*(z*z/(z*z**(-3/10)))/z assuming z is positive.
z**(83/50)
Simplify (k*k**6*(k/((k/k**8)/k))/k)**(-6/11)/((k**(1/7)*k*k**(-6)/k)/(k**7*k**(-2/3))) assuming k is positive.
k**(926/231)
Simplify ((z/(z/(z/(z/(z/(z**(2/55)*z)))*z)))/(z**(-35)/z)*(z**(-5)/z)/z**(1/23))**(-38) assuming z is positive.
z**(-1486332/1265)
Simplify (((s**(-3/4)/(s**(1/10)*s))**41)**(-6/5))**43 assuming s is positive.
s**(195693/50)
Simplify (((x**(2/7)*x)/x)**(-2/141)*(x**0/x)**43)/((x*x*x**(-1))**(-8)*(x*x*x**(-6/5))/((x/(x**(2/15)*x))/x*x)) assuming x is positive.
x**(-59117/1645)
Simplify ((u*u*(u*u/((u*u**(-3/5))/u))/u*u)/((u**(-3/8)/u)/u))**(-13/5)/((u*((u*u/u**(-3/2))/u)/u*u**(-2/11))/((u*u**(-1/11)*u)/u**4)) assuming u is positive.
u**(-49597/2200)
Simplify ((y**2)**(-49/4))**(-13)/(y*(y/(y**(2/7)*y))/y*y/(y/((y/(y**(1/10)*y))/y)))**(2/167) assuming y is positive.
y**(3723459/11690)
Simplify (f**(4/5)/(f/(f**(-15)/f)))**49/((f/(f*(f*f/(f/f**(-1/2))*f)/f*f))**(-6/19)/(f/f**(-2))**(-12)) assuming f is positive.
f**(-78876/95)
Simplify ((u**5*u*u/(u/(u/(u*u**(-11)))*u))/((u/((u**(4/3)*u)/u))/u)**(-2/31))**(27/4) assuming u is positive.
u**(3330/31)
Simplify (d**(5/7)*d**(-1)*(d*d**(7/6)/d*d*d)/(d**(-37)/d))**(-3) assuming d is positive.
d**(-1717/14)
Simplify ((g/g**(-11))/(g/((g/(g*g**0))/g)))**(-27)*(g**(-2))**(5/7)*(g**0)**(-34) assuming g is positive.
g**(-1900/7)
Simplify (q**(-24))**(5/11)*(q/(q*(q/(q/((q/q**(-2/91)*q)/q)))/q*q))/((q*q**(-42))/q) assuming q is positive.
q**(30099/1001)
Simplify (k**4*k*k/((k*k*k**(-2)*k)/k)*k)**(-2/71)*((k*k/((((k**(-1)/k*k*k)/k)/k)/k))**10)**36 assuming k is positive.
k**(127786/71)
Simplify (z/(z/(z/(z*z**(-1)*z))))**(-1/53)*(z**(-2/7)/z*z)**(2/17)*((z**(-2/9))**(-42))**(-38) assuming z is positive.
z**(-126628/357)
Simplify (((r/(r/(r/(r/(r*r*(r/r**(1/4))/r)*r))*r))/r)**(-21)*r*r**20*((r/r**(-1))/r)/r)**42 assuming r is positive.
r**(3969/2)
Simplify (y**7/y*y*y*y*y**(-4)*y)**(-13/6)/((y*y**(1/3)/y*y)**(-2/19)/(y/y**(1/4))**(1/37)) assuming y is positive.
y**(-108313/8436)
Simplify ((z/z**0*z)**20)**(-13)/((z**0)**(-3))**35 assuming z is positive.
z**(-520)
Simplify (y**5*y**0)/(y**0)**(6/11)*((y/(y**6/y))/y*y**(1/2)/y)/(y**0/y*y*y**6) assuming y is positive.
y**(-13/2)
Simplify (((d*d**(-1/12)*d/(d*d**(-1/11)))**23)**(3/5))**(-3/28) assuming d is positive.
d**(-1311/880)
Simplify (a*a**(1/2))**(-20)/(a**(-5/2)*a**(2/11))*((a**0/a)**(8/15))**(-3/11) assuming a is positive.
a**(-3029/110)
Simplify ((g/(g*g**0*g*g*g)*g*g)**1)**(-1/10)*(g*g**(-4))/((g/(g/g**(-4)))/g)*(g*g/g**(1/4))**(11/5) assuming g is positive.
g**(119/20)
Simplify (((t*t**(-2/13))/t)/t**(2/9)*t**(1/2)/(t*(t/(t/(t*t*t/t**(-2/17))*t))/t))/((t*t**5)/(t*t**(3/5))*(t**3/t*t)/(t*t**2)) assuming | {
"pile_set_name": "DM Mathematics"
} |
(h) = 8*h - 6. Let l(b) = 6*i(b) + 11*x(b). Let n(r) = r - 4. Let c be n(6). Let g(u) = 3*u**2 + 2*u**c - 3*u**2. What is g(l(d))?
8*d**2
Let o(s) = 39*s - 39*s + s**2. Let t(n) = -5*n**2. Give o(t(x)).
25*x**4
Let q(j) = -2*j**2. Let u(z) = -4*z**2 + 16*z**2 - 3*z**2 - 4*z**2. Give q(u(v)).
-50*v**4
Let n(f) = 4*f**2 + 0*f**2 + 0*f**2. Let a(l) be the second derivative of 0*l**2 + 1/6*l**3 + 0 - l. Calculate n(a(q)).
4*q**2
Let g(c) = -c**2. Let b(l) = 4*l**2 - 68*l + 8. Calculate b(g(y)).
4*y**4 + 68*y**2 + 8
Let f(y) = -3 + 3*y**2 + 3. Let b(s) be the first derivative of 2*s**2 - 1. Calculate b(f(p)).
12*p**2
Let x(h) = -7*h. Let l(q) = 51*q. Let m(n) = -5*n. Let w(a) = 2*l(a) + 21*m(a). Calculate w(x(s)).
21*s
Let g(a) = 22*a. Let s(j) = 6*j + 2*j - 5*j - j. Give g(s(t)).
44*t
Let o(z) = -4*z. Let c = -17 - -20. Let s(p) = 3*p + 3*p**2 - 2*p**2 - c*p. What is s(o(y))?
16*y**2
Let c(v) = 2*v**2. Suppose 0 = 5*u + 2*r - 31, -4*r + 12 = -0. Let z(n) be the third derivative of 1/20*n**u + 0*n**4 + 0*n**3 + 0 + 3*n**2 + 0*n. Give c(z(p)).
18*p**4
Let z(m) = m**2. Let u(q) be the first derivative of 7/2*q**2 - 1 + 0*q. Give u(z(h)).
7*h**2
Let z(h) = -2*h**2 - 2*h + 2. Let l(r) = 6*r**2 + 7*r - 7. Let n(u) = 2*l(u) + 7*z(u). Let a(t) = -5*t + 7*t - t. What is a(n(k))?
-2*k**2
Let u(i) = i. Let x(v) = -336*v + 17. Give x(u(d)).
-336*d + 17
Let k(f) = -7*f. Let m(h) = -h + 8. Give k(m(b)).
7*b - 56
Let h(l) = 2*l**2 - 6*l**2 + 5*l**2 + 4*l**2. Let u(f) = 35*f**2 - 69*f**2 + 32*f**2. Determine u(h(v)).
-50*v**4
Let c(m) = -455*m**2. Let w(h) = -h**2. Give c(w(a)).
-455*a**4
Let d(b) = 6*b. Let r = 12 + -2. Suppose -o = 2*y + 4, -4*o + 4*y - r = -54. Let z(c) = o*c - 6*c - c**2. Give d(z(j)).
-6*j**2
Let x(y) = -y**2. Let h be -1*0*1/4. Let f(s) = -23*s + h + 7 - 7. Give f(x(d)).
23*d**2
Let h(w) = 2*w**2. Suppose 6*m - 2*m - 8 = 0. Let o(g) = g**3 - 23*g**2. Let k be o(23). Let l(b) = k*b - 3*b + 3*b - m*b. Give h(l(q)).
8*q**2
Let f(u) be the first derivative of -u**3/3 + 3. Let z(o) = 7*o**2. What is z(f(v))?
7*v**4
Let x(u) = -u**2 - 17*u**2 + 22*u**2 + 27*u**2. Let z(s) = -s. Calculate z(x(b)).
-31*b**2
Let p(g) = 22*g**2. Let o(c) = 26*c**2. Calculate o(p(d)).
12584*d**4
Let v(a) = a. Let n(d) = 6*d. Suppose -7*t + 2*g - 64 = -4*t, -4*g + 40 = -2*t. Let k(r) = t*v(r) + 4*n(r). Let z(o) = 3*o. Calculate z(k(x)).
6*x
Let c(d) = 7*d**2. Let p(i) = -3196*i**2. Calculate p(c(z)).
-156604*z**4
Suppose g - 7 = -3. Let l(r) = g*r - 4*r**2 + 3*r**2 - 4*r. Let x(z) = -6*z. Give x(l(y)).
6*y**2
Let s(c) = 4*c + 6. Let w(r) = -2*r + 3. Let l(u) = -u + 1. Let h(y) = 5*l(y) - 2*w(y). Let q(v) = 6*h(v) + s(v). Let p(x) = -4*x. Give q(p(k)).
8*k
Let b(t) be the third derivative of t**6/360 - t**4/4 - 5*t**2. Let k(s) be the second derivative of b(s). Let f(h) = -4*h**2. What is f(k(m))?
-16*m**2
Let g(f) = f. Let y(t) be the third derivative of t**5/20 + t**3/2 - t**2. Let s = 1 + 2. Let r(v) = -1. Let u(h) = s*r(h) + y(h). Determine u(g(a)).
3*a**2
Let j(b) = -3*b**2. Let f(g) = g**2 - 2*g + 2. Let r(t) = -t**2 - t + 1. Let c(v) = -f(v) + 2*r(v). Give j(c(q)).
-27*q**4
Let i(g) = -10*g. Let q(n) = 420*n**2. Give q(i(l)).
42000*l**2
Let o(j) be the third derivative of 1/8*j**4 + 0*j + 0 + 0*j**3 + j**2. Let u(f) = 3*f**2 - 4*f**2 + 0*f**2. Determine o(u(m)).
-3*m**2
Let c(l) = -2210*l. Let k(s) = 2*s**2. Calculate k(c(u)).
9768200*u**2
Let g(o) = -o**2. Let v(t) = t**2. Let x(i) = -4*i**2 + 3. Let u(z) = -5*v(z) - x(z). Let h(b) = 2*b**2 + 5. Let m(c) = -3*h(c) - 5*u(c). Determine m(g(f)).
-f**4
Let m(h) = -11*h**2 + 6*h**2 - 3*h**2. Let g(n) = -2*n. Give g(m(c)).
16*c**2
Let d(p) = -1578*p**2. Let i(t) = t**2. What is i(d(h))?
2490084*h**4
Let f(g) = -g**2. Let o = -10 - -18. Let d(r) = -o*r**2 + 7*r**2 + 0*r**2. What is f(d(q))?
-q**4
Let d(s) be the first derivative of s**2/2 - 13. Let q(y) = 2*y - 2*y - 3*y. Determine q(d(o)).
-3*o
Let h(s) be the second derivative of 9*s**3 - 5*s - 10*s**3 + 0*s. Let y(f) = f**2. Calculate h(y(q)).
-6*q**2
Let h(d) = -2345*d**2. Let q(p) = 2*p. Determine h(q(f)).
-9380*f**2
Let j(l) = 7*l**2 + 21. Let q(x) = 37*x**2. Determine q(j(w)).
1813*w**4 + 10878*w**2 + 16317
Let i(c) = -8*c**2. Let u(l) = -6*l. Calculate i(u(k)).
-288*k**2
Let q(v) = 4536*v. Let k(w) = -2*w. Determine k(q(m)).
-9072*m
Let u(m) = -17*m**2 + 4*m**2 + 4*m**2 + 12*m**2. Let y(n) = 2*n**2. Determine y(u(t)).
18*t**4
Let d(f) be the first derivative of 0*f**3 + 1/6*f**4 + f - 2 + 0*f**2. Let x(o) be the first derivative of d(o). Let r(b) = -b**2. What is r(x(t))?
-4*t**4
Let o(h) = 10*h - 7. Let i(n) = 3*n - 2. Let j(s) = 7*i(s) - 2*o(s). Let y(w) = -39*w**2. Determine j(y(r)).
-39*r**2
Let i(d) = -57*d**2. Let h(p) = p**2 + 1403*p - 1403*p. Calculate h(i(z)).
3249*z**4
Let g(n) = -4*n**2. Let u(c) = c**2 + 188. Determine g(u(f)).
-4*f**4 - 1504*f**2 - 141376
Let m(v) = 35*v**2 - 2. Let q(z) = 4*z. Give q(m(r)).
140*r**2 - 8
Let l(o) = -3*o**2. Let z(c) = -c + 5. Let v be z(3). Suppose -2*u + 2*d = -2, v*d = -2*u + 6*d - 4. Let q(w) = w**2 - 4*w + u*w. Calculate l(q(b)).
-3*b**4
Let p(g) = 7 - 5 - 3*g - 2. Let h(s) be the third derivative of -s**4/12 - s**2. Determine h(p(o)).
6*o
Let i(h) be the third derivative of -h**5/120 + h**3/2 + h**2. Let s(g) be the first derivative of i(g). Let p(k) = -4*k. What is p(s(r))?
4*r
Let h(g) = 4*g. Let r(f) = -7*f**2 - 23*f. Give h(r(u)).
-28*u**2 - 92*u
Let l(m) = -m**2 + 254. Let j(v) = 2*v. Determine j(l(x)).
-2*x**2 + 508
Let p = 8 - 4. Let x(d) = -6*d + p*d - d. Let q(a) = -a. Give x(q(j)).
3*j
Let p(k) = -2*k**2. Let l = -18 + 22. Let h(c) be the third derivative of 0*c + 1/12*c**l + c**2 + 0 + 0*c**3. Calculate h(p(v)).
-4*v**2
Let h(n) = 615*n**2. Let s(w) = 2*w**2. Calculate s(h(f)).
756450*f**4
Let y(s) = -5*s**2 - 3*s**2 + 6*s**2. Let c(a) = -7*a. Let x(i) = -i. Let u(f) = 2*c(f) - 18*x(f). Give y(u(g)).
-32*g**2
Let u(j) be the second derivative of j**4/3 - 2*j - 6. Let f(w) = -7*w**2. Calculate f(u(r)).
-112*r**4
Let h(v) be the second derivative of -v + 0*v**2 - 1/2*v**3 + 0. Let b(x) = -x**2. Calculate h(b(d)).
3*d**2
Let h(a) = 13*a + 40. Let l(f) = -2*f**2. Give l(h(y)).
-338*y**2 - 2080*y - 3200
Let w(y) = 2*y**2. Let d = -1 + 1. Let t be -1*(-3)/(-6)*d. Let b(c) = t*c**2 + 0*c**2 + 2*c**2. Determine b(w(n)).
8*n**4
Let r(o) be the first derivative of 4*o**3/3 - 1. Let b(p) be the first derivative of -p**2/2 - 38. Calculate r(b(y)).
4*y**2
Let y(t) = -2*t**2 - 147*t. Let a(x) = x. Determine y(a(r)).
-2*r**2 - 147*r
Let o(y) = 3*y. Let d(h) = 0 + 6*h + 3 - 5*h. Let m(v) = v + 4. Let f(u) = -4*d(u) + 3*m(u). Determine f(o(k)).
-3*k
Let l(c) = -2*c**2. Let p(q) = -q**2 + 2*q + 3. Let w be p(0). Let y(s) = 3 - 3 - 3*s - w*s. Calculate l(y(v)).
-72*v**2
Let z(w) be the first derivative of 5*w**3/3 - 18. Let l(q) = 2*q**2 + 2*q - 2*q. What is z(l(r))?
20*r**4
Let x(j) = 8*j**2. Let g(q) = 15*q**2 - 2*q. What is g(x(h))?
960*h**4 - 16*h**2
Let z(l) be the second derivative of l**4/3 + 7*l. Let q(g) = -17*g - 11. Let w(u) = 9*u + 6. Let y(s) = -6*q(s) - 11*w(s). Calculate y(z(c)).
12*c**2
Let z(c) be the second derivative of 2*c + 0*c**2 + 0 + 0*c**3 - 1/4*c**4. Let w(m) = -3*m. Calculate w(z(i)).
9*i**2
Let z(t) = 3*t**2. Suppose 0 = -5*u - 5*o + 25, 0*o + 6 = 4*u - 3*o. Let r(p) be the third derivative of -1/8*p**4 + u*p**2 + 0*p**3 + 0*p + 0. Give r(z(k)).
-9*k**2
Let g(n) = -8*n. Let o(s) = 15*s. Let y(l) = -11*g(l) - 6*o(l). Let v be 9/6 + 1/2. Let h(d) = -4*d**2 - v + 2. Give y(h(b)).
8*b**2
Let j(m) be the first derivative of m**3/3 - 1. Let q(k) = -2*k + 6. Let h(x) = -5*x + 3*x + 17 + 0*x - 4*x. Let p(l) = -6*h(l) + 17*q(l). Calculate j(p(s)).
4*s**2
Let j(w) = -26*w**2. Let y(c) = -2*c - 3. Give y(j(u)).
52*u**2 - 3
Let u(z) = z - 4*z**2 - 2*z + z. Suppose 46 = 4*i + 5*f, 7*i + f - 38 = 3*i. Let n(w) = i*w - 6*w - w. What is u(n(s))?
-16*s**2
Suppose -8*x = -3*x. Let i(v) be the third derivative of -1/30*v**5 + x + 0*v**4 + 0*v**3 + 0*v + v**2. Let u(d) = 2*d. Calculate u(i(j)).
-4*j**2
Let s(y) = 90*y. Let i(o) = -o + 23. Calculate i(s(m)).
-90*m + 23
Let o(v) = 213*v + 2. Let c(f) = -f**2. Determine o(c(x)).
-213*x**2 + 2
Let p(x) = x**2 - 11*x. Let r(c) = c. Determine r(p(j)).
j**2 - 11 | {
"pile_set_name": "DM Mathematics"
} |
p. Does 5 divide x?
False
Suppose -25 = -u - 117. Let y = u + 100. Suppose 392 = 4*p - y*x + 4*x, 2*x = 3*p - 295. Is p a multiple of 11?
True
Let j(v) = v**3 + 13*v**2 - 3*v + 4. Suppose 3*n = 9, k - 4*n + 9 = -0*k. Suppose -3*t + 4*b - 23 = 0, -t = k*t + 2*b + 60. Does 15 divide j(t)?
False
Suppose 4*m + 22 = 152*i - 151*i, -2*i + m = -72. Does 19 divide i?
True
Let y(o) = 37*o**3 - o**2 - 2*o + 2. Let u be y(1). Let f = 38 - u. Suppose 4*t = -f*k + k - 4, k - t = 16. Does 3 divide k?
True
Does 11 divide (78894/(-30) + 3)/(3 - 136/40)?
True
Suppose -16*y + 13*y = -33. Suppose 15*x = y*x - 892. Let w = -114 - x. Is 12 a factor of w?
False
Suppose -3*p = 3*q - 7002 - 16317, -5*q - 15 = 0. Is 108 a factor of p?
True
Let q be (-3 - -5)/(4/18). Let h(y) = y**3 - 10*y**2 + 15*y + 18. Is h(q) a multiple of 9?
True
Suppose -16*s = -12*s - 280. Is s/((70/11)/2 - 3) a multiple of 18?
False
Let w be (0 + 1)*10*30/4. Let o = 81 - w. Suppose -28 = -4*x - 4*l, 4*l + o = 2*x - 2. Does 3 divide x?
True
Suppose -71720 = -4*k - 36*k. Is 11 a factor of k?
True
Suppose 5 = 5*d - 3*t + 4, d - 11 = -3*t. Suppose d*u + 46 = -5*a + 3*a, a = 5*u - 11. Is 8 a factor of 7/(a/2) + 52/6?
True
Suppose 0 = -17*n + 1341 + 1260. Suppose -n*o + 158*o = 1000. Does 25 divide o?
True
Suppose 322*a = 388*a - 22440. Is 7 a factor of a?
False
Does 77 divide 12/(-14) + 1 + (-350018)/(-266)?
False
Let q(p) = p**3 - 59*p**2 + 75*p - 378. Does 11 divide q(60)?
True
Let b(d) = 1 - 5*d + 3 + 3*d + 173*d**2 - 2. Is 58 a factor of b(2)?
False
Is (6/4 + 15113/14)/(1 + 0) a multiple of 47?
True
Is 32/(-2) + 11 - (-8411 + 0) a multiple of 120?
False
Let p(c) = 3*c**2 - 141*c + 152. Let h be p(48). Let u = h + -9. Is u a multiple of 7?
True
Let v(x) = 41 + 103*x + 121*x + 62*x - 98*x. Does 88 divide v(9)?
False
Let j(c) = 171*c**2 + 28*c + 10. Suppose 20*a + 4*a + 72 = 0. Is j(a) a multiple of 55?
False
Let u(h) be the second derivative of h**4/2 + 21*h**3/2 - 9*h**2/2 - 37*h. Is 9 a factor of u(-15)?
True
Suppose 350*m = 435*m - 1595620. Is 19 a factor of m?
True
Let t(g) = 16*g - 5*g + 15 - 12*g - 3*g - 7*g. Let x(c) = -c**2 + c + 1. Let f be x(3). Does 35 divide t(f)?
True
Let x(s) = -s**3 + 9*s**2 - 4*s - 5. Let f be x(8). Let y be 6/f + (-1850)/(-18). Let c = 157 - y. Does 21 divide c?
False
Let y(v) = -v**3 + 8*v**2 + 13*v - 3. Let t be y(10). Let g = t + 89. Is 16 a factor of g?
True
Let o(u) = -76*u**3 - 63*u**2 - 345*u - 25. Does 175 divide o(-5)?
True
Suppose -2*y - 1125 = -7*y. Suppose 63 = 2*z + y. Let h = -43 - z. Is h a multiple of 19?
True
Let c(y) = -y**3 + y. Let x(n) = n**3 + 12*n**2 + 14*n - 19. Let o(v) = 2*c(v) + x(v). Let a be o(13). Let g = -6 + a. Is g a multiple of 3?
False
Let q(n) = -n**3 - 8*n**2 + 7*n - 18. Let c be q(-9). Suppose 79 = t + 5*j, c = -t + 17*j - 20*j + 79. Is 3 a factor of t?
False
Suppose -16*v + 1264 = -24*v. Let s = 209 + v. Is 3 a factor of s?
True
Let u = 1356 - -1257. Suppose -4360 = -5*j - 5*v, 4*v = 21*j - 24*j + u. Is 25 a factor of j?
True
Let w be ((-142)/10)/((-17 - -6)/(-55)). Let z(v) = 27*v**2 - v + 1. Let x be z(-2). Let j = w + x. Is 8 a factor of j?
True
Let u = 38 - 36. Let y(i) = i**3 - i**2 - i - 1. Let m(w) = -3*w**3 + 4*w - 6. Let g(o) = u*y(o) + m(o). Is 38 a factor of g(-7)?
False
Suppose 38 = -7*s + 227. Let q = 312 - s. Is 19 a factor of q?
True
Let m = -120 - -126. Let w be 2860/m - (-19)/57. Suppose -w = -5*s - y, 4*s + 7*y - 3*y - 372 = 0. Does 43 divide s?
False
Is 2480 - (14 + -38 + 15) a multiple of 76?
False
Suppose -m + 3*m = -3*f + 73, 0 = -m + 5*f + 69. Suppose -3*w + 19 = -m. Is 21 a factor of w?
True
Let y be (2/(-4))/(4/(-376)). Let u = y - 17. Let a = -20 + u. Does 5 divide a?
True
Suppose 18*p = 7352 + 38368. Is 71 a factor of p?
False
Does 34 divide (-4)/10 - (5/(25/(-8352)) + 3)?
False
Let g(c) be the first derivative of -20*c**2 + 105*c + 52. Is 55 a factor of g(-18)?
True
Suppose 27*r - 100 = 89. Suppose 3*d = -s + 3426, 4*s + 2277 = 2*d + r*s. Does 84 divide d?
False
Let c be 1/6 - 295/(-30). Let i(q) = -4*q - 9 - q - c. Is i(-17) a multiple of 16?
False
Let u(w) = 6*w**2 + 21*w + 210. Is u(-10) a multiple of 15?
True
Let w(z) = -z**3 + 20*z**2 - 14*z - 63. Suppose -6*m - 14 = -7*m + q, -m - 2*q = -29. Is 4 a factor of w(m)?
True
Let l(r) = -28 + r - 31 + 12*r**2 + 56 - 5*r**2. Let q be l(2). Suppose -q = a - 156. Is a a multiple of 20?
False
Let q = 220572 - 151873. Is q a multiple of 225?
False
Let j(p) = -11*p + 63. Let i(k) = -3*k**3 + 2*k**2 - 2*k + 5. Let o be i(2). Does 38 divide j(o)?
True
Let q be 3/9*(-17 - (3 - 8)). Let f(u) = -u**2 + 3*u - 4. Let d be f(3). Is 13/q*-10*d/(-5) a multiple of 4?
False
Suppose d - 3*d = 6*d - 688. Does 4 divide d?
False
Let s = 22 - 62. Suppose 24 = 5*z + 2*v, 10*z - 6*z + 4*v = 24. Is (-3296)/s - z/10 a multiple of 12?
False
Suppose -16 = 43*g - 47*g. Suppose -x + 1283 = 3*z - 2*x, -x = -g. Does 13 divide z?
True
Let h be -4*(45/(-10))/(-3). Let x be 237 + h + 5 - -1. Let o = 15 + x. Is o a multiple of 18?
True
Let w = 15973 - 2796. Is w a multiple of 68?
False
Suppose 16*g - 15*g - 10 = 0. Let c be ((-141)/(-6))/(5/g). Suppose 5*y - c = 688. Is 26 a factor of y?
False
Suppose 9*r + 3*z - 1330 = r, 0 = 2*r + 4*z - 352. Is 41 a factor of r?
True
Let o(n) = -9*n**3 + 2*n**2 + 2*n + 5. Let l be o(3). Does 3 divide (-136)/136 - (l - (1 - 2))?
False
Let h be (-5226)/24 + (-8)/32. Let b = -31 - h. Does 22 divide b?
False
Let l(m) = m**3 + 19*m**2 + 63*m - 5. Suppose -47 - 1 = 6*u. Is l(u) a multiple of 13?
True
Let s = -10 + 12. Let g be (s - -4)*(7 + 7). Let a = g - 36. Is 6 a factor of a?
True
Let s(g) = -847*g - 365. Is 43 a factor of s(-3)?
False
Let o(j) = -22 + 5*j + 6 + 7 + 2. Let m = -10 - -21. Is 12 a factor of o(m)?
True
Suppose 14*w + 12*w = -17576. Let r = w - -849. Is r a multiple of 25?
False
Let y(n) be the second derivative of n**5/10 + 4*n**4/3 - 4*n**3/3 + 19*n**2/2 - 3*n + 6. Is y(-8) a multiple of 2?
False
Let m be (14 - 14 - 0) + 575*2. Suppose 3*a = -2*a + 5*g + 1150, 4*g - m = -5*a. Is a a multiple of 16?
False
Suppose -2*y + 1632 = -2*t, y + 2*t = -0*t + 825. Let h = y + -492. Does 12 divide h?
False
Let x = -1836 + 2364. Is x a multiple of 48?
True
Suppose 3*n - 11 = -4*y + 3, 5*y + 4*n - 18 = 0. Suppose 7*k - 4821 = 2*k + 3*g, y*k = 4*g + 1920. Is 42 a factor of k?
True
Suppose -3080 - 2785 = -15*p. Let n = 92 + p. Does 69 divide n?
True
Let w(i) = -2*i - 2. Let f be w(-3). Let g be ((-2)/f)/(1/(-8)). Let k(a) = -a**3 + 6*a**2 - a - 3. Does 25 divide k(g)?
True
Is 42 a factor of (49975/(-125) + -25)*(-140)/2?
True
Let k = -660 + 1368. Let r = -460 + k. Does 31 divide r?
True
Let w(j) = -5*j + 60. Let s be w(12). Suppose s = 7*n - 477 - 27. Is 5 a factor of n?
False
Suppose 882 = 143*o - 149*o. Let j = o - -865. Is 9 a factor of j?
False
Let p(s) = -s. Let o be (-3)/(-1) + (-4 - 0). Let y(b) = -5*b + 21. Let j(n) = o*y(n) - 5*p(n). Is j(6) a multiple of 39?
True
Is ((-443916)/(-4))/9 + 15 a multiple of 152?
False
Suppose -45*j + 43*j = -28*j + 29952. Is 8 a factor of j?
True
Let n(b) = -22*b + 21. Let o be n(1). Let w(v) = 1240*v**2 - 5*v - 8. Is 53 a factor of w(o)?
False
Suppose 152 = 18*z - 136. Let t(m) = -m**3 + 17*m**2 - 13*m + 6. Is t(z) a multiple of 4?
False
Let b(h) = -358*h + 3395. Does 20 divide b(7)?
False
Suppose 3*d + 5*d = -9*d. Suppose 2*r = -2*w - 2*r + 614, d = -4*w + 3*r + 1239. Is w a multiple of 25?
False
Let w(c) = -1465*c + 1251. Does 61 divide w(-3)?
False
Let w be ((-3)/(-9))/((-3)/(-1710)). Let v = w - -40. Is 46 a factor of v?
True
Suppose 0 = 3*g - o - 22, g + 9*o - 11*o + 1 = 0. Is g/45 + 1557/15 a multiple of 3?
False
Suppose 1425 = 4*z + 5*c, 3*z - 1417 = -z + 3*c. Suppose z = -2*l - l - f, -4*l - 464 = -f. Is 18 a factor of l/(-3) + 2/2?
False
Let a(y) = -6*y + 13. Suppose -4 - 8 = t + 2*c, -3*t - 4*c - 28 = 0. Let i be a(t). Let b = 32 + i. Does 15 divide b?
False
Does 35 divide ((-7280)/4)/(6*(-8)/144)?
True
Suppose 9*a - 10 = 3*g + 4*a, -3*g = -3*a. Let q be (-134)/(-4)*(g + 7). Suppose q = 3*j + 3*b, j - 130 = 4*b - 9*b. Is j a multiple of 27?
True
Let y(q) = q**3 + q**2 - 1. Let t be y(1). Is 3568/20*((-1)/t + 6) a multiple of 28?
False
Let k = -2209 + 4215. Is k a multiple of 157?
False
Let i be 2/ | {
"pile_set_name": "DM Mathematics"
} |
hat are the prime factors of (-1 - (-42)/15)*5?
3
Let s(r) be the third derivative of r**5/60 - r**4/6 - r**3 + 25*r**2. Let v be 2 - 1 - 2 - -7. List the prime factors of s(v).
2, 3
Let c be ((-50)/(-3))/(2/6). Suppose -4*s = -c + 14. Suppose 3*y - s = 2*y. List the prime factors of y.
3
Let t be (4/(-6))/((-1)/3). Let q(d) = d + 0*d + t*d**2 + 9 + 0*d**2 - 3*d**2. What are the prime factors of q(0)?
3
Let t be 2/(15/(-6) + 2). Suppose r = 2*s - 1, 2*s + 3*r - 6 = -25. Let q = s - t. What are the prime factors of q?
2
Let h = -3 + 8. Suppose -h*t = 2*r - 4 - 52, t = 2*r + 16. Suppose -2*o + 10 = -t. List the prime factors of o.
11
Let r(y) = 36*y + 29. What are the prime factors of r(5)?
11, 19
Let j = 79 + -75. List the prime factors of j.
2
Let k(u) be the second derivative of -u**5/60 - 7*u**4/24 - u**3/3 + u**2/2 - u. Let c(t) be the first derivative of k(t). What are the prime factors of c(-6)?
2
Let u(r) = 5*r + 6. Let k be u(-4). Let f be (-111)/(-21) - (-4)/k. List the prime factors of f/(-4)*-2*2.
5
List the prime factors of ((-630)/(-28))/(1/2).
3, 5
List the prime factors of (-393)/(-12) + 2/8.
3, 11
Let q(w) be the first derivative of -w**4/2 + w**2/2 - w - 3. What are the prime factors of q(-2)?
13
Suppose 10 + 11 = 3*p. Let l(c) = -c**3 + 6*c**2 + 9*c - 5. What are the prime factors of l(p)?
3
Suppose -6*y - 25 = -2*q - 3*y, -30 = -4*q + 2*y. What are the prime factors of q?
5
Let u be (-8)/(-6)*(-45)/(-6). Let y(h) = h**3 - 4*h**2 - 2*h + 4. Let k be y(5). Let m = k - u. What are the prime factors of m?
3
Let x = -103 - -182. List the prime factors of x.
79
Let n(j) be the second derivative of -j**6/360 - j**5/24 - j**4/12 + j**3/3 - j. Let w(c) be the second derivative of n(c). What are the prime factors of w(-4)?
2
Suppose 4*g = 2*r + 60, 0*r - 54 = -2*g - 5*r. Let t = g - 8. Suppose -5*o = -t - 6. What are the prime factors of o?
3
Let x(h) = -13*h**3 + h**2 + 1 - 5*h**3 + 2*h + 0*h**2. List the prime factors of x(-1).
2, 3
Suppose 0 = -2*v - 3*v + 505. What are the prime factors of v?
101
Let q = -224 - -399. List the prime factors of q.
5, 7
Suppose 4*o - 996 = -3*g, -4*o + 5*g = g - 996. What are the prime factors of o?
3, 83
Let k = 33 - 24. What are the prime factors of k?
3
Suppose -3*l - 2*x = -94, 4*l + 29 = 4*x + 181. List the prime factors of l.
2, 17
What are the prime factors of 1*(-1 + 4 + 40)?
43
Let k(t) = -t**3 - 5*t**2 + 6*t + 2. Let u be k(-6). Suppose 0 = -x - u*x + 21. What are the prime factors of x?
7
Suppose -2*k = -4 - 4. List the prime factors of k*(-1 + (-60)/(-16)).
11
Let h = -22 - -16. Let g = h + 8. What are the prime factors of g?
2
Suppose -5*v = -4*j - 538, -4*v + 5*j + 432 = j. List the prime factors of v.
2, 53
Suppose -4*h + 8 = -6*h. List the prime factors of h/(-6) - 57/(-9).
7
Suppose -2*l = 3*z + 8, 4*l + 0 = -4*z - 8. Suppose l*h - 6 = -0. List the prime factors of h.
3
Suppose 4*m + 0*m = 3*h + 197, -5*m + 251 = h. List the prime factors of m.
2, 5
Let j(x) = -x**3 + 4*x**2 + 2. Let l be j(4). Let z = -2 - l. Let p = z - -11. What are the prime factors of p?
7
Let p be (-2*2)/(2/(-3)). Let o = p + 12. List the prime factors of 45/o - (-2)/(-4).
2
Let l be ((-2)/3)/(4/(-54)). Suppose -3 = 3*p - 4*p, 4*u - p = l. What are the prime factors of u?
3
Let i = -15 - -35. Suppose 3*j + j = i. Suppose j*a - 9 = 31. List the prime factors of a.
2
Let y(f) = -f + 5. Let c be y(11). Let l = 12 + c. List the prime factors of l.
2, 3
Let r = 27 - -293. What are the prime factors of r?
2, 5
Let j(p) = -p + 3. Let s be j(0). Suppose w = 5*c + s*w - 24, -3*c + 4*w = -4. Suppose 4*u - 24 = -2*v, -4*u + 55 = c*v + 19. What are the prime factors of v?
2, 3
Suppose 13 = 2*g + g - 4*w, -w = 5*g + 9. Let f = 3 + g. Let d(q) = q**3 - q**2 - 2*q + 2. What are the prime factors of d(f)?
2
Let h be (-268)/(-3) + 2/3. What are the prime factors of h/14 + (-3)/7?
2, 3
Let t(y) = -y**3 - 3*y**3 + 3*y**3 + y + 12 + y**2. What are the prime factors of t(0)?
2, 3
Let w(m) = 2*m - 11. Let s be w(8). Suppose 30 = -5*d - s*l, 2*l = -0*d + 3*d + 8. List the prime factors of (2/d)/(5/(-100)).
2, 5
Suppose 16 = f + 1. What are the prime factors of f?
3, 5
Let m be 2*(-4)/(-4) - 3. List the prime factors of 3/2*(13 + m).
2, 3
Let y be -1*1*(-35)/7. Suppose 2*n = -2*z + 15 + 15, -10 = -y*n. What are the prime factors of z?
13
Let k(n) = -n**3 + 4*n**2 - 4*n + 3. Let a be k(2). Suppose -5*h = u - 38, -3*h = -2*h - a*u - 14. List the prime factors of h.
2
Suppose -2*u + 1 = -9. Suppose u*i = 61 + 54. Let g = i + -8. What are the prime factors of g?
3, 5
Let h(w) = w**3 - 5*w**2 + 5*w. Let i be h(4). Let g = i + 1. Suppose -d + 7 = g*u - 19, -4 = -u. What are the prime factors of d?
2, 3
Let r be 1 + 0/1 + 3. Suppose 25 = 5*d + 3*u - 105, -r*d + 97 = u. What are the prime factors of d?
23
List the prime factors of (16/10)/(5/50 - 0).
2
Suppose 613 = 3*y + 2*c - 108, -3*c + 960 = 4*y. List the prime factors of y.
3
Let z be 1/5 - (-70)/25. Suppose -3*m - 7*q + 9 = -z*q, 0 = 4*m - 4*q - 12. What are the prime factors of m?
3
Suppose 5*a - 20 = -2*r, 2*a - 5*r - 11 = -32. List the prime factors of 43/a + (-11)/(-22).
2, 11
Let r(u) = -28*u. Let g be r(-4). Suppose 5*s - g = -12. List the prime factors of s.
2, 5
Let l(i) = 3*i + 2. Suppose -12 = -5*q + 3*q. Let g be l(q). Suppose 5*a - a = g. List the prime factors of a.
5
Suppose -2*c + 170 = -b, -3*c + c + 4*b = -158. List the prime factors of c.
3, 29
Suppose -117 = -3*m - 42. Let o = m + -4. List the prime factors of o.
3, 7
Let v = -11 - -15. Suppose 0 = -5*h + 25, 0 = -2*k + 7*k - 3*h - 5. Suppose 0 = k*j - v*r + 2*r - 12, -4*r + 6 = -2*j. List the prime factors of j.
5
Suppose -4*d - 3*n = -15 - 350, 0 = -3*n + 9. What are the prime factors of d?
89
Let u(j) = -3*j + 5. Suppose o = 0, 2*o + 0*o + 39 = 3*m. Suppose -4*q + 14 = -3*h + 46, 2*h = q + m. List the prime factors of u(q).
2, 5
Suppose 3*x - 2*x - 375 = 0. Suppose 120 = -5*c + x. List the prime factors of c.
3, 17
Let r = 8 + -5. Suppose 0 = -r*i + 3. What are the prime factors of 9/i + 1 + 1?
11
Let o be (-88)/(-6)*-3 - 1. What are the prime factors of 16/5*o/(-18)?
2
Let h = -7 - -7. Suppose 3*q - q - 4 = h. What are the prime factors of q?
2
List the prime factors of 21/147 - (-2)/((-14)/(-531)).
2, 19
Let f(o) = -o**3 - o**2 + 3*o + 3. Let q be f(-3). Suppose -5*u + q = -u. Suppose u*h + h + 2*r - 74 = 0, -r + 85 = 5*h. What are the prime factors of h?
2
Suppose -2*u + 5*r = -28, 6*u - 2*u + 4*r = 28. Let w = 28 - u. List the prime factors of w.
19
Let t = -5 - -7. Suppose 0 = t*k + 4*o - 3*o + 7, 2*k + 32 = 4*o. What are the prime factors of 30/(-9)*k/4?
5
Let a(p) = 2*p**2 - 8*p + 9. Let o(c) = 6*c**2 + 2*c - 1. Let m be o(1). Let i be a(m). Suppose -7 + i = 4*n. What are the prime factors of n?
11
Let b be ((-21)/12)/((-1)/4). Let z(o) = 10*o - 1. Let d be z(b). Suppose -2*c + 17 = r, c - d = -3*c + 5*r. List the prime factors of c.
11
Let k = 10 + -6. Suppose -k*w = 24 - 144. What are the prime factors of w?
2, 3, 5
Let c = -23 + 25. Suppose -5*x - j + c*j = -201, x = j + 37. List the prime factors of x.
41
Let q(v) = v**3 - 5*v**2 + 8*v + 3. Let k be q(6). Suppose -4*j + k + 5 = 0. What are the prime factors of j?
23
Let a(d) = d**2 - 10*d - 8. Let s be a(9). Let v(m) = m**3 + 17*m**2 - m + 19. List the prime factors of v(s).
2, 3
Let c = -1 - 0. Let m(h) = -5*h + 1. Let y be m(-2). Let l = c + y. List the prime factors of l.
2, 5
Suppose 0 = 4*s - 5*s + 51. List the prime factors of s.
3, 17
Suppose -4*a + 1 = 3*s, -5*a - 7 + 2 = 5*s. Let d = a - -10. Suppose -d = 5*n - 79. What are the prime factors of n?
13
Let o be (3/4)/((-4)/(-80)). Suppose 7*p = 4*p + o. What are the prime factors of p?
5
Let r be (-2 - 1)/(-6)*2. Let v be (1/r)/((-2)/(-6)). Let h = -1 + v. List the prime factors of h.
2
Let c(a) = -a**3 + 7*a**2 + 6*a + 8. Let t be c(8). List the prime factors of (59 + t)*(-1)/(-3).
17
Let y = 6 - -9. Let k = y - 9. List the prime factors of k.
2, 3
Let h(d) = -d**3 + 6*d**2 + 10*d - 16. List the prime factors of h(7).
5
Let s = 275 + -150. List the prime factors of s.
5
Let x = -3 - -4. Let u(n) = 4*n**2 - 3*n**2 - n**3 - 2*n + 1 + 5*n**3. What are the prime factors of u(x)?
2
Suppose 0*v = - | {
"pile_set_name": "DM Mathematics"
} |
+ s + s - 2 - 2*s + 2 + s + 2 - 2 + (-3*s + 0*s + 5*s)*(4 - 1 - 4) + 2*s + 3*s - 9*s).
52*s**2
Expand 2*o**4 - 3*o**4 - o**4 + (3*o**3 - 3*o**3 + o**3)*(-1 + 1 - o) + o**4 + o**4 + 0*o**4 + (656*o + 29622 - 29622)*(-o**3 + 2*o**3 - 2*o**3).
-657*o**4
Expand 21*j**2 + 18*j**2 + 4*j**2 - j**2 - j**2 + 11*j**2 + (0*j + 0*j + 2*j)*(-3*j - 2*j + 19*j).
80*j**2
Expand ((j - 4*j + j)*(1 + 1 + 1) + 2*j + j + 0*j - 6*j + 4*j - 7*j)*(-225 + 16*j + 225).
-192*j**2
Expand o**3 + 8*o**3 - 3*o**3 - 17*o**2 - 3678*o**3 + 3679*o**3 - 3*o**2 + (-2*o**2 + 3*o**2 - 3*o**2)*(-2 + 3*o + 2) - 4*o**2 + 2*o**3 + 4*o**2.
3*o**3 - 20*o**2
Expand -158*g**2 - 124*g**2 + 219*g**2 + (g + 3 - 2 - 2)*(2*g - g - 7*g) + (g - 4*g + 0*g)*(-g - 3*g + 2*g).
-63*g**2 + 6*g
Expand -195*b**3 - 7784*b + 7784*b + (2*b + 4 - 4)*(-2*b**2 - b**2 + 0*b**2).
-201*b**3
Expand (3*u + u - 5*u)*(248*u - 366*u - 233*u).
351*u**2
Expand (0*h + 2*h - 3*h)*(-2*h**2 + 0*h**2 + h**2) - 3*h**3 + 4*h**3 + h**3 - 3*h + 1623*h**3 + 2*h - 1331*h**3.
295*h**3 - h
Expand (-4*q**2 + 3*q**2 + 2*q**2)*(36*q + 20*q - 811 - 61*q).
-5*q**3 - 811*q**2
Expand (4*j - 2*j - 6*j)*(9*j - 40*j + 30 + 42*j).
-44*j**2 - 120*j
Expand 52*p**2 - 18 - 21*p**2 - 32*p**2 + (p**2 + 0*p**2 - 2*p**2)*(-1 + 2 + 2) + (6*p - 3*p - p)*(-5*p - p - 10*p).
-36*p**2 - 18
Expand (-6*a + 0*a - 2*a)*(3 - 3 - 4*a)*(-3*a**3 - 2*a**3 - 6*a**3).
-352*a**5
Expand (-3 + 6 - 1)*(2 - 2 - 4*y)*(-y - 27*y + 13*y)*(-y**2 + y**2 - 2*y**2 + (-y - 1 + 1)*(-2*y + 2*y + y) + y**2 - 6*y**2 + 4*y**2).
-480*y**4
Expand (v + 2*v - 5*v)*(-4 + 1 + 1)*((-3 + 4 - 2)*(0 + 0 + 1) + (-43 + 106 + 19)*(3 - 4 + 0)).
-332*v
Expand -154*t + 32*t + 4*t + (-47 + 12 + 0)*(t - 2*t - t).
-48*t
Expand (98 + 310 - 787 - 1607)*(-1 + 1 - 2*o - 4*o + 3*o + 3*o - 2 + 2*o + 2 + (3*o - o - 4*o)*(-5 + 4 + 0) + 0 + 0 - o - 6*o + 2*o + 5*o + o + 2*o - 2*o).
-9930*o
Expand (8 - 5 + 0 - 2 + 1 + 0 + (-2 + 1 - 1)*(1 - 6 + 3) + 2 + 1 - 2 + (-3 + 2 - 3)*(1 - 3 + 7))*(-3*j + 2*j + 3*j)*(0*j - 3*j + 2*j).
26*j**2
Expand (-8 + 17 + 9)*(-11652*m + 11565*m + 12*m**2 - 8*m**2).
72*m**2 - 1566*m
Expand (3 - 5*r - 3)*(-2 - 2 + 2) + (-6 + 2 + 3)*(-1 - 2 - 3)*((4*r - 5*r - r)*(0 - 3 + 2) + 2*r + 0 + 0)*(1 - 4 + 5)*(1 + 3 + 1).
250*r
Expand -3*z**5 - 8*z**5 + z**5 + (0*z**3 + 2*z**3 + 2*z**3)*(4 - 4 - 2*z**2) - 16*z**5 - 16*z**5 + 6*z**5.
-44*z**5
Expand (-4*v + 5*v + 0*v)*(0*v**3 - 2*v**3 + 3*v**3) + (191*v**2 - 191*v**2 + 294*v**4)*(2 + 0 + 1) + (-2*v**3 + 2*v**3 - 2*v**3)*(v + 4 - 4).
881*v**4
Expand (25*w**2 - 2 - 797*w + 403*w + 397*w + (-2*w + 2*w - w)*(-2 + 2 + w) + w**2 + 2*w**2 + 2*w**2)*(2*w + 0*w - 3*w).
-29*w**3 - 3*w**2 + 2*w
Expand 3*v - 5*v - v + (-1 + 2 + 0 + (-1 - 1 + 3)*(3 - 3 - 2))*(7920 + 72*v - 7920).
-75*v
Expand (4 + 5404*t - 28 + 1308*t + 24)*(t**2 + 4*t**2 - t**2).
26848*t**3
Expand (167 - 327 - 6*i + 161)*((-3 + 3 - 2)*(-3*i - i + 2*i) + 5*i - 2*i - 4*i - 3 + 3 + i - 2*i + 12*i - 11*i + i - 3*i + i).
-12*i**2 + 2*i
Expand w**3 + 2*w**3 - 5*w**3 + (3 - 3 - 2*w)*(-w**2 + w**2 - 2*w**2) - w**3 + 2*w**3 + w**3 - 3*w**3 - w**3 + 2*w**3 + 15*w**3 - 49*w**3 + 33*w**3 + 1464.
w**3 + 1464
Expand (-8*r - 2*r + 20*r)*(-241 - 247 + 505).
170*r
Expand (-2*g + 2*g + g**2)*(1538*g**3 - 32281*g**3 + 11108*g**3 - 45311*g**3).
-64946*g**5
Expand (-7 - 5*y + 7)*(-y**2 - 2*y**2 + y**2) - 362 - 2*y**3 + 0*y - y + 402 + 4*y**2.
8*y**3 + 4*y**2 - y + 40
Expand (2537*h + 1958*h + 1448*h - 1825*h - 372*h + 2907*h)*(-3*h**2 + h**2 + 5*h**2).
19959*h**3
Expand (3 - 3 + 2*n)*(-451 + 205 + 199).
-94*n
Expand -2*p - 2*p**2 - 105 + 107 + 4*p + (3 + 4 - 5)*(4654 - 4654 - 233*p**2).
-468*p**2 + 2*p + 2
Expand -4*b**2 - b**2 + 2*b**2 + (-2 + 0 - 1)*(14*b**2 + 14*b**2 + 0*b**2) - b**2 + b**2 - 2*b**2.
-89*b**2
Expand (-178 + 260 + 1825)*(4 - 4 + n)*(2*n - n - 4*n).
-5721*n**2
Expand (4163 - 412*o**4 - 4163)*(0*o + 3*o + 0*o) - 4*o**4 + 4*o**4 - o**5.
-1237*o**5
Expand 1017*f + 1910*f + 18 - 49 + 16 + 14 + (0*f - 2*f + 3*f)*(2 - 2 + 2).
2929*f - 1
Expand (v - 3*v - 3*v)*((-2*v**2 + 2 - 2)*(-1 + 2*v + 1) + 5*v**3 - 2*v**3 - v**3 + 4*v**3 - 2 + 2) + (-2*v**2 + v**2 - 2*v**2)*(45*v**2 - 17*v**2 + 33*v**2).
-193*v**4
Expand (-1 + 1 - 2 - 2 + 1 - 1 + (4 - 6 + 18)*(-1 + 4 - 4))*(r + 1 - 1 + (-3 - 4 + 5)*(2*r + 2*r - 2*r) - 2*r + 0 + 0 + 3*r + 8*r + r).
-140*r
Expand (g + 1 - 1)*(176 + 148 + 1530) + 2*g + 4 - 4.
1856*g
Expand ((2*u - u - 4*u)*(3 - 3 + 1) - u - 3 + 3)*(119476 - 119476 - 382*u)*(0 + 0 - 4*u**2).
-6112*u**4
Expand (2*b**2 - 1 + 1)*(3 - 3 + 3)*(2 + 1 - 4) + (-358 + 382*b + 358)*(0*b - 3*b + 4*b).
376*b**2
Expand (2*d**2 - 4*d**2 - 5*d**2)*(-14 - 25 + 23) - 3*d**2 + 0*d**2 + d**2 + d**2 - 3*d**2 + 2*d - d.
108*d**2 + d
Expand ((0 - 2*d + 0)*(-1 + 3 - 1) - 5*d + 2*d + 4*d + (-d + 0 + 0)*(-2 - 4 + 5) + 6*d - 2*d - 2*d)*(26 - 5*d**3 - 26)*(-49*d + 234*d + 17*d).
-2020*d**5
Expand (-2*q**3 - 2*q**3 + 3*q**3 + (-3 + 6 - 2)*(-2*q + 2*q**3 + 2*q) + 0*q**3 + q**3 + 0*q**3 + 2*q**3 + 3*q**3 - 6*q**3)*(5952 - 6*q - 11598 + 7257).
-6*q**4 + 1611*q**3
Expand (53451595 - 53451595 - 5949*v**2 + (2 - 2 - 2*v**2)*(-2 - 2 + 2))*(v**2 + 1 - 2 + 2*v**2) + 0*v**4 - 2*v**4 + 4*v**4.
-17833*v**4 + 5945*v**2
Expand (2*x + 8 - 8 + (-x + 3*x + 0*x)*(1 - 2 - 2) - 3 + 3 - 2*x)*(-x**2 - 3*x**2 - 10*x**2).
84*x**3
Expand 24 - 24 + 6*p + (0 - 3 + 4)*(0 + 0 - p) + (13 - 7 + 6)*(15 - 15 + 7*p).
89*p
Expand (-1 + m**4 + 1)*(-m + 4*m - 39*m) + 14*m**5 + 18*m**5 + 5*m**5.
m**5
Expand 0*q**5 - 4*q**5 + 3*q**5 + (-4*q**2 + 0*q**2 + q**2)*(14*q**2 + 4*q**2 - 1 - 2*q**2)*(23*q - 114 + 114).
-1105*q**5 + 69*q**3
Expand (-5 + 4 + 0)*(4 - 6 + 1)*(-189579 + 211*b + 189579).
211*b
Expand (2*h + 0 + 0)*(4 - 2 + 0) + (h - 3 + 9 - 7 + 1 + 3*h - 1 - 2*h + 0*h + 3*h + (0*h + 0*h + h)*(0 - 2 + 4) - 2*h + 2*h - h + 1 - 1 - h)*(-120 + 144 - 69).
-221*h + 45
Expand 3*s**3 + 0*s**3 - s**3 + (-6*s + 14*s - 5*s)*(s**2 + 8*s**2 + 3*s**2) + 0*s**3 + 0*s**3 + s**3.
39*s**3
Expand (0 - 3 + 2)*(60*u**2 - 50*u**2 - 79*u**2) + 510 - 55*u**2 - 510.
14*u**2
Expand v**4 + 2*v**5 - v**4 + (3 - 10195*v**2 - 3 + 7992*v**2)*(-3*v - 2*v**3 + 3*v + (v**3 - 3*v + 3*v)*(-3 + 6 - 2) + 4 - 8*v**3 - 4).
19829*v**5
Expand ((-4*k - 6*k + 3*k)*(-k - 2*k + k) - 5*k + 5*k - 3*k**2)*(-5 + 0 - 2)*(42*k + 35*k - 80*k).
231*k**3
Expand (9*j**3 + 3*j**3 - 9*j**3)*(64*j - 39*j - 38*j)*(-4*j + j + 4*j).
-39*j**5
Expand (-69 - 89312*g**3 - g**4 + 89312*g**3)*(-2 - 3 + 2).
3*g**4 + 207
Expand (173985*y**3 + 58*y + y**2 - 56*y - 173464*y**3)*(-y + y + 2*y).
1042*y**4 + 2*y**3 + 4*y**2
Expand (103*l - 103*l - 7*l**3)*(5*l**2 - 5*l**2 - 33*l**2)*(1 + 3 + 0).
924*l**5
Expand 15*l**3 + 16*l**3 + 3*l**3 - l - 2*l**3 + l - 4*l**3 + l**3 + 2*l**3 + (l**2 - 3*l**2 + 0*l**2)*(3*l - 2*l + 0*l) + 9028*l**2 + 10*l**3 - 9028*l**2 - 1.
39*l**3 - 1
Expand (-48*r**2 + 81*r**2 + 85*r**2)*((-2 + 2 - r)*(3*r + 0*r - 5*r) + 15*r**2 + 216*r - 216*r).
2006*r**4
Expand (a + 3 - 7 + 2)*(-5*a - 6 - 7*a + 18*a).
6*a**2 - 18*a + 12
Expand (-2*n + 4*n - n)*(2 - 2 - 3*n**4) + (9*n + 10*n - 3*n)*(-24*n**3 - 9*n**4 + 24*n**3) + (-3*n**5 + 4*n**5 + 0*n**5)*(1 - 1 + 1).
-146*n**5
Expand (3*t**2 + 0 - 2 + 0)*(4067*t**2 + 4851*t**2 + 7602*t**2).
49560*t**4 - 33040*t**2
Expand -3*p**2 + 8*p**2 - 7*p**2 + (22*p - 15*p + 3*p)*(-p + 2*p - 2*p) - 2*p**2 - p**2 + 2*p**2.
-13*p**2
Expand -1 + 1 - t**4 + (0 + 1 + 0)*(-11*t**4 + 2*t**4 + 3*t**4).
-7*t**4
Expand (1061*y - 439*y - 453*y + 3*y**4)*(-4*y - y + 4*y + y + 2 - 2 + (0 + 2 - 1)*(-2*y + 3*y + 0*y) + y - 3*y + 3*y).
6*y**5 + 338*y**2
Expand (-3 + 6 - 4)*(0*s - s + 3*s)*((2*s - 1 + 1)*(1 + 0 + 0) - 2*s + 4*s - 5*s)*(-11*s - 31675*s**2 + 3*s + 31693*s**2).
36*s**4 - 16*s**3
Expand (-2*b**3 + 0*b**3 + b**3)*((-5 + 5 + 5)*(b**2 + b**2 + 2*b**2) - 9 - 6*b**2 + 9).
-14*b**5
Expand 75*d + 68*d - 14*d + (-4 + 19 - 5)*(5*d - 5*d + 2*d) + 0*d - 2*d + 4*d + (1 + 0 + 1)*(3*d - 2*d + 0*d).
153*d
Expand (3 + 0 - 2)*(-2 + q + 2)*(3189 - 156 + 793).
3826*q
Expand u + u**4 - u + (5*u**2 - 2*u**2 - 5*u**2)*(4*u - 3*u**2 - 4*u) - 2*u**4 + 5*u**4 - 5*u**4 + (0*u**2 + 0*u**2 + 2*u**3)*(-21*u - 56 + 56).
-37*u**4
Expand (1 - 4 + 0)*(269*n**2 - 811*n**2 + 339*n**2).
609*n**2
Expand (-1 + 55 + 18)*(1 - 158*p + 82*p - 158*p).
-16848*p + 72
Expand (-4 - 7 + 6)*((-4*m - m**4 + 4*m)*(-m - m + 0*m) + 118*m**4 + | {
"pile_set_name": "DM Mathematics"
} |
t a be 2/(4*(-2)/(-44)). Let u(n) = n**3 + 10*n**2 - 24*n - 12. Let z be u(6). Suppose -z = -a*g + 4*g. Does 12 divide g?
True
Let j(x) = -255*x. Let o be j(-5). Let k = 2896 + -2405. Suppose 14*b = -k + o. Does 14 divide b?
True
Let x(a) = 3*a + 56. Let w be 198/(-45) + 5 - 404/(-10). Does 6 divide x(w)?
False
Let f(q) = -2*q**3 + 118*q**2 + 168*q + 71. Does 67 divide f(59)?
True
Suppose 5*d + 1018 = 1033. Suppose 20 - 15 = o, -1385 = -4*i + d*o. Is 14 a factor of i?
True
Suppose 4*r = -0 - 4, r = -4*n - 329. Let d = -78 - n. Does 6 divide (d/(-8))/((-1)/66)?
False
Suppose 2*x - 1970 = -3*l, 985 = x - 0*x - 2*l. Let w = 1396 - x. Is 22 a factor of w?
False
Let k = 756 - 748. Is 5 a factor of ((-90)/k)/((-7)/(-56)*-3)?
True
Is 25 a factor of ((-10)/(-70)*-6 - 1/7) + 4526?
True
Let c be -3*(-33)/(-9) + 1 + 1. Let s be (-176)/(-24) + (-6)/c. Suppose -612 = -s*u - 4*u. Is 17 a factor of u?
True
Suppose 2*m + 10 = 2*v, -2*v = -m + 6 - 14. Suppose g - 5*g + 30 = b, -g = v*b - 90. Suppose u = a + 46, -u = 6*a - 3*a - b. Is u a multiple of 7?
True
Suppose 14852 = 2*p + 5*g, 0 = -4*p - 13*g + 10*g + 29690. Does 11 divide p?
False
Let p = -36 + 40. Suppose 0 = -2*h - p*w + 48, 118 = 4*h - 3*w - 0*w. Is 11 a factor of 3*-1 + h/(6 - 4)?
True
Let p = -178 + 186. Is (-40)/p + 354 + (-4)/1 a multiple of 23?
True
Suppose 2*z - 14 = -2*j, 4*j + 2*z = -j + 29. Let n = -2 + j. Suppose n*o - 61 = -10. Does 17 divide o?
True
Let t = -198 - -206. Suppose 2*y + v - 137 = 0, y - 3*v - 73 = -t*v. Is y a multiple of 14?
False
Let x(y) = -65*y - 105. Let j(o) = -16*o - 26. Let a(k) = 25*j(k) - 6*x(k). Let d be 24/(9 - (-12 - -24)). Does 18 divide a(d)?
False
Let p(a) = a**3 - 14*a**2 + 2*a - 15. Let y be p(14). Suppose 0 = -b + 4*s + 46, -151 + y = -3*b - 5*s. Is 9 a factor of b?
False
Is 41 a factor of (-23)/(184/(-48192)) + (12 - 9)?
True
Let y(g) = 2 - 29 - 41 - 24*g + 4. Does 8 divide y(-9)?
True
Is 7 a factor of 20/2*588/10*(-410)/(-40)?
True
Suppose -5*y = -5*o - 385, 4*o + 9*y + 317 = 4*y. Let j = -70 - o. Suppose -10*p + j*p = -50. Is 19 a factor of p?
False
Let q = -233 + -20. Let h = q - -373. Is h a multiple of 23?
False
Let w = 255 - 140. Suppose 3*h - 2*h - w = 0. Suppose -z - 4*z = -h. Is 5 a factor of z?
False
Let g(v) = 65*v**2 - 37*v - 93. Let x(o) = -66*o**2 + 36*o + 92. Let k(h) = -2*g(h) - 3*x(h). Is k(-3) a multiple of 29?
False
Let l = -38 + 78. Suppose -15*n - 271 = 14. Let o = n + l. Does 21 divide o?
True
Let f(q) = 6*q + 33. Let m be f(-5). Is 5 a factor of -4 + (5 - -73 - m)?
False
Let s be (72/60)/((-2)/10). Let b be 3 + -2*(-1 - s/4). Suppose -l - 132 = -b*l. Is 17 a factor of l?
False
Suppose -q + 23 = -6. Is 16 a factor of (11 - q)*44/(-6)?
False
Let k = 715 - 668. Suppose 42*p = 5*n + k*p - 5150, -n + 1045 = -2*p. Is n a multiple of 45?
True
Suppose -3*r + 507 = g, -3*g - 789 = -5*r + 42. Is 14 a factor of r?
True
Let n = -15625 - -36593. Is 42 a factor of n?
False
Let g(c) = 121*c**2 + 43*c - 104. Is 39 a factor of g(7)?
False
Let n(w) = -18*w + 44. Let y be n(2). Suppose -y*p - 92 + 2084 = 0. Is 6 a factor of p?
False
Let n(s) = 97*s**2 - 30*s + 198. Does 124 divide n(7)?
False
Let i(p) = p**3 - 11*p**2 - 43*p + 18. Let q be i(14). Suppose 0*g = -q*g - 3*d + 1662, -g = -d - 412. Suppose -9*h + g + 675 = 0. Is 11 a factor of h?
True
Let a(u) = -u**3 + 9*u**2 - 9*u + 3. Let f be a(8). Let w(r) = -r**3 - 4*r**2 + 5*r + 5. Let t be w(f). Suppose q = -t, -3*v + 79 = -v + q. Is 14 a factor of v?
True
Let p(q) = -1040*q - 2013. Does 90 divide p(-21)?
False
Let t = -501 + 603. Let i = 94 + t. Is i a multiple of 4?
True
Suppose 4*q - 28 = 180*n - 182*n, -n - 10 = -4*q. Suppose -2*f - 3*f = 0. Does 45 divide (f/1 + 2)/(n/609)?
False
Is 33 a factor of ((-18)/4)/(5/(-6345)) + 6/(-4)?
True
Let g = -41522 - -68116. Does 11 divide g?
False
Let j(g) = -6*g + 2 - 48*g - 37*g + 4 - 5. Does 20 divide j(-10)?
False
Suppose -2*m - 5*n + 13283 = 0, -5*m + 4*n = -21805 - 11320. Is m a multiple of 25?
False
Let d(m) = m**3 - m + 36. Does 156 divide d(5)?
True
Let j be (-6)/(-4)*(0 - 2). Let a(t) be the first derivative of -t**3/3 - 7*t**2/2 - 4*t - 402. Does 5 divide a(j)?
False
Let x(a) be the third derivative of 11*a**6/120 + a**5/60 - a**4/6 - 4*a**3/3 - 11*a**2 + 5. Is x(3) a multiple of 4?
False
Let a = -993 - -2185. Does 8 divide a?
True
Suppose g + 4*i = 2190, -3467 = -2*g - i + 948. Is 26 a factor of g?
True
Suppose y - 3*y - 18 = -4*m, -6 = -3*m + 4*y. Is (-16 + 4)*(512/m)/(-4) a multiple of 16?
True
Let u be (4/18)/((-4)/(-17406)). Let n = u - 372. Does 7 divide n?
True
Suppose 142 - 206 = -16*v. Let c = -148 - -270. Suppose 9*l = c + v. Is l a multiple of 5?
False
Let r(v) = -2*v**3 + 18*v**2 - 10*v + 15. Let g be r(8). Does 13 divide (164/(-42) + g/(-147))*-270?
True
Suppose 2220 = 4*o - 51*w + 50*w, -2*o + 1110 = 5*w. Let f = -14 - -25. Suppose 4 = -t, -8*b - o = -f*b - 3*t. Does 21 divide b?
True
Does 31 divide (-508100)/(-110) - 5/(-5 + 60)?
True
Suppose 2 + 7 = 3*k, -5*k = -3*d - 6. Let c(t) = 502*t + 1990. Let z be c(-5). Does 13 divide (12/10)/(1554/z + d)?
True
Let p(g) = -g**3 - 23*g**2 - 61*g - 43. Let z be p(-19). Is 17 a factor of z/20*(-595)/14?
True
Let c(a) = 3*a**3 + 6*a**2 + 13*a - 12. Let k(v) = 2*v**3 + 23*v**2 + 10*v - 5. Let p be k(-11). Does 30 divide c(p)?
True
Let d be 38 + -43 + 2 + 1759. Let a = -420 + d. Is 41 a factor of a?
False
Let y(o) = 30*o - 3. Suppose 0*u = 8*u - 496. Let q = u + -61. Does 27 divide y(q)?
True
Suppose -5*u + 9*u + 5*w = -5, -2*w = 3*u - 5. Suppose 1316 + 1169 = u*d. Does 71 divide d?
True
Let b be 2/(-15) - ((-1114)/30 + -3). Suppose -b*s = -45*s + 2585. Is 47 a factor of s?
True
Suppose 32*n - 2 = 31*n. Suppose -3*x + x = n. Does 9 divide x*2 - (-52 + -15)?
False
Let c be 2/(-24)*-93*-12. Let m = c + 103. Suppose -4*q - 12 = -3*t, -2 = -11*t + m*t + 2*q. Is t even?
True
Suppose 3*k + 3*p - 40 = -k, -2*k + 20 = -5*p. Is 24 a factor of 15/k - 49/(-2)?
False
Let q(w) be the second derivative of -13*w**3/2 + 213*w**2/2 - 7*w + 2. Is 43 a factor of q(-21)?
True
Does 30 divide (-81)/(-15)*65750/25?
False
Let m = 3917 - -3749. Does 10 divide m?
False
Let q be -7 + (-3)/1 + 14. Suppose -31 = -5*d + 4*k + 1352, q*k - 1128 = -4*d. Does 31 divide d?
True
Suppose 0 = 2*r + 4*c - 196, 3*r + 0*c - 349 = 5*c. Suppose 3*i - 3*w + 15 = 1494, -2 = -w. Does 18 divide ((i/10)/9)/(3/r)?
True
Let z(f) = 5*f - 3. Let l(r) = -11*r + 6. Let t(i) = -4*l(i) - 9*z(i). Let d be t(0). Is 11 a factor of 175/d - (-4)/(-12)?
False
Let s be ((-196)/21)/(1/(-918)). Suppose -26*h = -s - 116. Is h a multiple of 22?
False
Suppose -3*v + j = -v, -5*v = j. Let z = -67 - 8. Is 30/z + (v - 102/(-5)) a multiple of 5?
True
Suppose 0 = 25*u + 195 + 80. Let q(m) = m**3 + 15*m**2 + 6*m + 19. Is 19 a factor of q(u)?
True
Suppose -13*d - 129974 = -3*g, -d + 173262 = -13*g + 17*g. Is 68 a factor of g?
True
Let r = 37 - 35. Suppose d = -r*d + 12. Let g(c) = 6*c + 13. Is 11 a factor of g(d)?
False
Suppose 0 = -250*u + 850978 + 802311 + 8246711. Is u a multiple of 72?
True
Let v be ((-2)/5)/(236/40 - 6). Suppose -v*a + 4668 = 4*b, 0 = -5*a + 10*a + 15. Is b a multiple of 31?
False
Let f be 3*1 + (3 - (1 + 1)). Let s(n) = 44*n - 6*n - 24*n - f. Is 10 a factor of s(16)?
True
Let s be 7/(84/8)*12. Suppose s = 3*i - i. Suppose 2*v + 2*a - 3*a = 49, 0 = 4*a + i. Is v a multiple of 3?
True
Let n = -911 - -1937. Let f = -74 + n. Is f a multiple of 14?
True
Suppose -801*z + 10740530 = -101*z - 5281070. Is z a multiple of 14?
False
Suppose -4*i + 14 + 1 = -1. Let t = -1 + 6. Suppose -t*h - i*g = -112, -5*h + 30 = -4*h - 3*g. Does 4 divide h?
True
Does 9 divide 3/4*(-220500)/(-189)?
False
Let m(f) be the first derivative of 21*f**2/2 - 97*f + 13. Is 4 a factor of m(5)?
True
Let b(a) be the second derivative of a**5/20 - a**4/3 + 13*a**2/2 + 22*a. Let u(y) = y**2 + 14*y + 19. Let q be u(-13). Is 17 a factor of b(q)?
True
Let g = 548 - -343. Suppose 21*n = 10*n + g. Is 29 a factor of n?
False
Suppose 9036 = 4*b - 3*z - 4066, -3*b - 2*z = -9852. Is 328 a factor of b?
True
Suppose 5*j - 3*g - 29 = 4, -j + 7 = -g. Let a be j/4 + 2603/(-38). Let c = -3 - a. Is 16 a factor of c?
True
Is (-36)/(9 + 16935/(-1880)) a multiple of 91?
False
Suppose -8118 = -13*x + | {
"pile_set_name": "DM Mathematics"
} |
r) = 3*r + 4. Let v be k(-4). Let i = v + 14. Suppose 0 = 3454*m - 3879*m + 850. Solve m*d - 2*x = i - 0, -3*d + 4*x + 13 = 0 for d.
-1
Let m(k) = k**3 - 15*k**2 + 15*k - 14. Let d be m(14). Let r = 606 + -596. Solve 0 = 5*h - 4*s - s + r, -2*s + 2 = d for h.
-1
Suppose -64*m - 68 = -66*m. Let v = m + -29. Solve 6*r - 3*r = v*d - 17, -r = -2*d + 7 for d.
4
Suppose 15*j + 12*j = -19008. Let k = j - -704. Solve -3*b - 4*s + 14 = 6, -4*b - s + 2 = k for b.
0
Let y(m) = -m**3 + 3*m**2 + 39*m + 14. Let t be y(8). Solve -2*z = -5*x + 16, t*x + 4 = 2*z + 11*x for z.
-3
Suppose 219 = -3*q + 285. Suppose -4*f = 2*b - q, b + 3*f = 13 + 2. Let l be (4/5)/(-2) + 242/55. Solve l*k = -2*t + t - 10, -b*t - 4*k = 14 for t.
-2
Let u = -78 - -36. Let q = 0 - -46. Let x = u + q. Solve -2*f + 2*w - x = -f, -2*w = f - 12 for f.
4
Let q be (-80)/(-100) + (-96)/(-5). Solve -4*d + 4*u + q = 0, -17*d = -16*d - 4*u - 11 for d.
3
Suppose -1 = 19*y - 58. Solve y*b - 5*b - 5 = -v, 4*v - 12 = 0 for b.
-1
Let m(f) = 2*f**3 + 14*f**2 + 39*f + 162. Let n be m(-6). Solve n = -l + 5*x - 14, -4*l = 5*x + 1 + 5 for l.
-4
Let m(v) = v**3 - 7*v**2 - 93*v + 651. Let x be m(7). Solve -13*o - 2*u = -8*o + 12, 4*u - 16 = x for o.
-4
Let j be 463/(-5) - 6/(-10). Let i be 798/(-9) - (-40)/(-30). Let y = i - j. Solve 0*c + 2*l - 4 = y*c, 2*c = l - 6 for c.
-4
Let s = -61 + 78. Suppose -15*c = -s*c + 10. Suppose 1 = 4*a + c*h + 2, 0 = a - 3*h - 4. Solve 3 = i - 5*d - a, 12 = 3*i - 3*d for i.
4
Suppose 12*f - 126 = 5*f. Let d = 57 - f. Let r = d - 36. Solve -3*k - k = 3*y + 4, 4*y + 22 = r*k for k.
2
Suppose -16*z + 14*z + 4*q = 16, -9 = -2*z - q. Solve -5*h + 1 = -3*k - 7*h, z*h + 5 = k for k.
1
Let h(g) = -4*g**3 + g**2 + 273*g + 273. Let k be h(-1). Solve -u + 2*x = -5, -18*x = k*u - 19*x + 20 for u.
-5
Suppose -r + 111 - 38 = 0. Suppose -5*z + r = -82. Let p = 8 + -4. Solve -4*q - 3*v - z = 0, -3*v = -p*q + 2*v + 9 for q.
-4
Let a = 4080 + -4078. Solve -16*b + 11 = -15*b + 2*s, -4 = -a*b + 2*s for b.
5
Suppose -17*p + 5*p + 36 = 0. Suppose 2*y - 2*g + 93 = -g, -4*y - 183 = -p*g. Let j = y + 53. Solve 0 = 2*i - 2*n + 3 - 5, -j*i = 4*n + 22 for i.
-2
Let p(k) = -66*k - 7323. Let m be p(-111). Solve 3*z + 9 = -4*o + 12, -m*o = 2*z - 2 for o.
0
Suppose -68 = -2*l + t, -22*l + t = -24*l + 64. Solve -2*s = -4*i + 10, 5 = -s + 31*i - l*i for s.
-5
Suppose 4*a + 0*a - 68 = 0. Let g be 13/91 + 320/14 + -1. Let t = g - a. Solve t = n, 5*n - 9 = 5*p + 41 for p.
-5
Suppose -61*b + 5176 - 1176 = 64*b. Solve -l + 5*i + b = -5*l, 2*l + i = -10 for l.
-3
Let x = 2743 - 2727. Solve -3*v - 12 = n, 2*n + x*v - 21*v - 31 = 0 for n.
3
Let f = -20 + 17. Let g = 3 - f. Let o be 36/8*(0 - g/(-9)). Solve o = 2*w + j, 3*w + j - 22 = 3*j for w.
4
Let g be -1 - (7 - (4 + 7)). Solve -18 = -3*t - 3*z, 0 = g*t + 5*z - z - 23 for t.
1
Let d = 143 - 126. Suppose 2*z + 15 = d*z. Solve -3*n + a = -2*a + 6, -2*a + z = n for n.
-1
Suppose d + d + d = 0. Let r(o) = o**2 - 2*o + 2. Let v be r(d). Suppose 2 = q + i - v, -10 = -4*q + 2*i. Solve -q*p - 2*a = -1, 3*p - 6*p - 3*a = 0 for p.
1
Suppose -21*s = -46*s + 300. Solve 0 = -5*b - 20, 5*c - 4*b - s = -b for c.
0
Let i(b) = -4*b**2 + 3*b + 1. Let p be (-8)/6*18/(-12). Let q be i(p). Let g be (8/20 - q/15) + 7. Solve -d + 3*u - g = u, 10 = -2*d + 2*u for d.
-2
Let i(w) = -9*w**3 - 2*w**2 + 11*w + 14. Let v be i(-1). Solve r - h = v, -4*h = -5*r + 21 + 24 for r.
5
Let w be 1 - -111 - 36/((-36)/(-6)). Suppose -75*r + w*r = 713. Solve 3*d + r = 5*l, -3*d - 2*d = l + 1 for d.
-1
Let u(y) = y + 5. Suppose 3*r - 5*q = -347, -357 = 3*r - 2*q - q. Let s = r + 119. Let w be u(s). Solve 1 - 2 = -b + 3*a, w = -3*a for b.
1
Suppose 0 = -4*n - 50 - 950. Let q = -245 - n. Solve 0 = -q*d - 3*v + 5, d = -0*v + v + 9 for d.
4
Let n(u) = -69*u + 3800. Let w be n(55). Solve -5*b + 22 = -p, 5*b - 5*p - w = 5 for b.
5
Suppose 0*c - 9*c = 0. Suppose 48*o - 357 + 117 = c. Solve 4*l + 0*j - 31 = o*j, 5*l - 11 = -3*j for l.
4
Let b(f) = -f**2 + f + 24. Suppose 17 = -7*i - 11. Let h be b(i). Solve w + h*u + 14 = 0, w = -0*u - u - 5 for w.
-2
Let a = 40 + -40. Suppose a = -4*x + 15*x - 55. Suppose 7 + 8 = x*o. Solve -2*u + 2*z + 8 = 0, -o*z + 8 = -4*u + 5*u for u.
5
Suppose -4*i + 6*i = 4*a + 180, 3*a = -5*i + 411. Suppose -i = 47*p - 61*p. Solve p + 11 = 5*g - h, 5*h = g + 11 for g.
4
Let f = -39 + 41. Let x(l) = -10*l**2 + 12*l**2 - 2*l**3 - 3*l**3 + f*l + l**3. Let v be x(-1). Solve b - 14 = -3*k, v*k - b - 10 = 2*b for k.
4
Suppose 0 = 3*z + 3*q - 18, -3*q = -18. Solve -5*i + 11 = 2*m, 3*i + z = 3*m - 6 for m.
3
Let z be ((-153)/(-68))/(6/(-16)). Let p be (z/(-5))/(18/45). Solve 3*g + 12 = -3*j, p*j + 4 = -j for g.
-3
Let p = 22 + -11. Suppose 9*d + 14 = p*d. Suppose 0 = 4*w + 3*q - 5, -8 - d = -5*w - 2*q. Solve y = -y - t - 4, -5*y - 40 = -w*t for y.
-4
Suppose s = -2 + 4. Let t = -32512 + 32518. Solve -3*w + t = 4*x + 15, s*w = 5*x + 17 for w.
1
Suppose 0 = -n + 10*n - 27. Let u(v) = -3*v**3 - 1 + 3 + 2*v - 4 + 2*v**2 + 2*v**n. Let m be u(2). Solve 5*j + 2*b = 3, m*b = -3*j + 4*j - 3 for j.
1
Suppose -22*m + 2000 = -2972. Let y = m + -224. Solve 16 = 3*l + 5*k, -2*l + 5*k = y*k + 2 for l.
2
Suppose -b - x + 54 = 0, -5*b - 4*x = -3*b - 116. Let q = -55 + b. Let h be q/(-2)*6/5. Solve -h*l + 7 = -a, 4*a = -l - 2*l + 32 for l.
4
Let f(c) = 0*c - c - 41*c**3 - 11 - c**2 + 0*c + 42*c**3. Let p be f(3). Solve 0 = -0*o - p*o - 3*i + 11, 0 = -5*i + 5 for o.
2
Suppose b + 6*y + 894 = 4*y, 0 = 2*b + 3*y + 1786. Let m = 892 + b. Solve 3*p - 7*p = -2*f, m*p - 4*f + 6 = 0 for p.
1
Suppose 4*r = 5*l - 301, -4*r = -0*r + 2*l + 294. Let o be (-3159)/567*28/(-2). Let n = o + r. Solve 0 = -k - n*g - 2, 2*k - 3*g - 8 + 1 = 0 for k.
2
Suppose f + s + 0 = -3, f + 3*s + 9 = 0. Suppose b - 4*r + 6 = f, 5*r = 2*b + 3*b. Solve -c + 11 = -5*o - 5*c, 0 = b*o + 3*c + 3 for o.
-3
Let t(q) = 3*q**3 - 8*q**2 - 5*q + 44. Let v be t(7). Let b = -643 + v. Solve 5*l - b = -4*z, -7*z = -3*z - 2*l + 18 for z.
-3
Suppose -5*y + 282 - 172 = 0. Let s be -5 + (y/(-3) + 5)*-3. Solve -s*a - t + 9 = -4*t, 5 = -5*t for a.
3
Let k = 23051 + -23027. Solve t = -x + k - 23, -5*t + 11 = 3*x for t.
4
Let i be (18 - 1)*(-6 + (-21)/(-3)). Suppose -o + 10 = 5*d, o - i = -2*o - 2*d. Solve -4*c + x = -2*x - 3, -5*c = 5*x + o for c.
0
Let w(q) = -1 + 0 - 241*q + 242*q + 4. Let f(d) = 2*d + 2. Let i(m) = -2*f(m) + 3*w(m). Let b be i(-1). Solve 3*a + 3*s + b = -3, -a = -s - 7 for a.
2
Let s be (2/(-4) + 3)/((-3)/(-6)). Let p be 4/2 + -1 + 9. Suppose 15*r - 149 = 256. Solve n - r = s*d, 5*d = -4*n - p - 7 for d.
-5
Let u = 49 - 51. Let m be (-1)/(((-1)/u)/(11/(-2))). Let w(h) = -h**2 + 12*h - 7. Let r be w(m). Solve -2*c - r*n = -6*c, 0 = 5*c + 5*n - 40 for c.
4
Suppose -5*y + 67 = q, 10*q - 6*q - 30 = -3*y. Solve -3*o = 5*r - 32, -r + 4*o - y + 2 = 0 for r.
4
Let a be (-266)/(-1463) + (-20)/(-11). Solve t = -4*l + 5, -a*t + 34 = 2*l + 30 for l.
1
Suppose -6*a - 10*a = 224. Let i be ((-693)/a)/11 - (-2)/(-4). Solve -f = -i*f + k + 12, 8 = 2*f + k for f.
4
Let r(q) = 167*q - 1000. Let s be r(6). Solve -30 = -s*p + 5*m, -44*m - 9 = -5*p - 48*m for p.
5
Suppose -p + 6 = 2*i, -4*p + 167 = 5*i + 149. Solve 0 = 4*d + 16, 3*d = -i*j + 6*j - 20 for j.
2
Let z(o) = -271*o + 40. Let q be z(1). Let v be q/(-49) - (-12)/42. Solve -v*u + s = 29, 5*u - 7*u - 3*s + 2 = 0 for u.
-5
Let d(j) = -j + j - 138 - 13*j + 9*j + 10. Let a be d(-32). Solve 0*s - 2*u + 7 = -s, a = 4*s - 3*u + 18 for s.
-3
Suppose 2*m + 3 = 5*v, 2*v - 5*m + 8*m = 24. Solve 4*z + 4*w - 4 = 3*z, 0 = -3*w + v for z.
0
Let g = 125 - 95. Suppose 6*x - g - 24 = 0. Solve m + 3*d = -16, 5*m + 2*d + 6 = -x for m.
-1
Let y = -10675 - -10677. Solve -3*p + 7*j = 9*j + 6, 5*p + y*j + 10 = 0 for p.
-2
Suppose -3*z = 3*p - 2*p + 201, 0 = 2*p - z + 395. Let q = -140 - p. Suppose 4*c - q = 3*a, 5*a - 52 = -5*c + 3. Solve 6*b - b + l - c = 0, b + 5 = -4*l for b.
3
Let n(m) = -m**3 + 6*m**2 + 13*m + 26. Let b be n(-6). Let y = -376 + b. Solve c - 11 = -4*c - 2*x, -y*c + 13 = 3*x for c.
1
Suppose 0 = 2*k + 3*c - 10, 2*k + 4*c - 20 = -2*k. Solve 4*z = -i - 20, k*z + 5*i = z - 36 for z.
-4
Suppose 18*r + 15328 = 4852. Let o = -578 - r. Solve 0*m + 3*m = -4*d - 15, -o*d - 14 = 2*m for d.
-3
Let m = -1807 + 1811. Sol | {
"pile_set_name": "DM Mathematics"
} |
ming a is positive.
a**(-21/4)
Simplify o**(-4)/o*o**(-7/4) assuming o is positive.
o**(-27/4)
Simplify (c**(2/9))**13/(c*c**(-1/3)/c)**(-1/11) assuming c is positive.
c**(283/99)
Simplify ((n/(n**(-2/11)/n))/n)/(n/(n/(n**(-1/11)*n)))*(n**(1/4))**(-1) assuming n is positive.
n**(1/44)
Simplify (z**(-6)*z**4)/((z*z**(-1/3)*z)/(z*z**(-2))) assuming z is positive.
z**(-14/3)
Simplify (x*(x**9*x)/x)/((x**(-4/5)/x*x)/x) assuming x is positive.
x**(59/5)
Simplify (j**(-21))**(-1/14) assuming j is positive.
j**(3/2)
Simplify a**2/(a/((a**(-3)/a)/a)) assuming a is positive.
a**(-4)
Simplify (t**(-2/21)/t)/(((t*(t*t**4*t*t)/t*t*t)/t)/t)*(t*t*t**0)/t*t*t**(2/9) assuming t is positive.
t**(-370/63)
Simplify (k**(1/10)*k*k*k**3)/(k*((k/(k/k**0))/k)/k)**(-1/31) assuming k is positive.
k**(1571/310)
Simplify ((w/w**2)/w)**(-29)/(w/(w/(w/((w/w**(1/2))/w)*w)))**(-26) assuming w is positive.
w**123
Simplify (g**(-3)*g*g**(-1/14))/(g/((g*g**(-1)*g)/g)*g)**(1/8) assuming g is positive.
g**(-65/28)
Simplify ((l/((l/l**(1/3))/l))/l)/(l*l/l**(2/3))*(l**(2/3)*l)/l**(1/7) assuming l is positive.
l**(11/21)
Simplify (d*d**(3/5))**43 assuming d is positive.
d**(344/5)
Simplify (r*(r*r**3)/r)/(r/(r/r**(3/14))) assuming r is positive.
r**(53/14)
Simplify (f**(-4))**(-16) assuming f is positive.
f**64
Simplify (g*g/(g/(g/g**(-4)))*g*g**5)/(g**(1/2))**(-6/13) assuming g is positive.
g**(159/13)
Simplify (u**(-1/11))**17 assuming u is positive.
u**(-17/11)
Simplify (q/(q/(q*q/(q*((q*q**(-1/6)*q)/q*q*q)/q))))/q*q**(-9)*(q**(-2/3)/q)**(-30) assuming q is positive.
q**(235/6)
Simplify u/(u*u**19)*u**(2/5)/u assuming u is positive.
u**(-98/5)
Simplify (i/i**0)**(-15) assuming i is positive.
i**(-15)
Simplify ((o/((o**(1/6)/o)/o))/o)/o**(-10) assuming o is positive.
o**(71/6)
Simplify (v*v/(v*v/(v*v**19)))**(-7/6) assuming v is positive.
v**(-70/3)
Simplify (b/b**0)**3 assuming b is positive.
b**3
Simplify (c**3*(c*c/c**(-8))/c)**36 assuming c is positive.
c**432
Simplify (t**5*t)/(t/(t/(t/(t/t**19)*t))) assuming t is positive.
t**(-14)
Simplify (((((b**1/b)/b)/b)/b)**(3/29))**(-13) assuming b is positive.
b**(117/29)
Simplify ((n/(((n**2/n)/n)/n*n))/(n/(n/n**(-2/19))))/(n*n**(-1)*n*n)**(-23/3) assuming n is positive.
n**(937/57)
Simplify m*m/((m/m**(-3/4))/m)*m**(-2/33)/m assuming m is positive.
m**(25/132)
Simplify s**11/(s/(s*s**26*s*s)) assuming s is positive.
s**39
Simplify ((i*i**(-2/33))/i)/i*i**(2/97) assuming i is positive.
i**(-3329/3201)
Simplify (d**(-13)/(d**(-1/5)*d))**(-14) assuming d is positive.
d**(966/5)
Simplify (p/(p**4*p))/(p**(-2)*p)*p*((p/p**(2/13))/p)/p*p*p**(-1)/p assuming p is positive.
p**(-54/13)
Simplify ((j/(j**0*j))**(-32))**(5/4) assuming j is positive.
1
Simplify a**(-1/16)/a*a/(((a/((a/((a/a**(-1/12)*a)/a)*a)/a))/a*a)/a)*a assuming a is positive.
a**(41/48)
Simplify y**4*y**(-2/17) assuming y is positive.
y**(66/17)
Simplify (t/(t/(t**(-2/7)/t)*t))**(2/23)*((t/(t/(t*t/(t/t**(-3/4)))))/t)/((t*t**(4/7)/t)/t) assuming t is positive.
t**(-335/644)
Simplify (l*((l/l**(6/5))/l)/l*l)/((l/((l/(l*(l/l**(-26))/l))/l))/l) assuming l is positive.
l**(-136/5)
Simplify (((m*m*m**6*m)/m)/((m*m**(-2/31)*m)/m))**(38/7) assuming m is positive.
m**(8322/217)
Simplify r**(-15)*r*r**(-11)/r assuming r is positive.
r**(-26)
Simplify (h**(2/3)/h**(1/5))**11 assuming h is positive.
h**(77/15)
Simplify f**(-28)/f*f*f**(4/7) assuming f is positive.
f**(-192/7)
Simplify k**(1/24)*k*k**(2/3) assuming k is positive.
k**(41/24)
Simplify (w/(w*(w/w**(1/9))/w))**(-1) assuming w is positive.
w**(-1/9)
Simplify (t**(-1/4))**(-32)/(t**(-2/5))**(1/27) assuming t is positive.
t**(1082/135)
Simplify (m*m/m**7*m)/m**(-1/7)*m*m/(m*m**(-1/10))*m**(-4)*m assuming m is positive.
m**(-403/70)
Simplify ((w/((w/(w/((w/w**(-4))/w)))/w))/w)**(-28) assuming w is positive.
w**84
Simplify (a/a**(-2/53))**24 assuming a is positive.
a**(1320/53)
Simplify (a**(1/4)*a*a)**21*a**5*(a*(a**(-2)*a)/a)/a*a assuming a is positive.
a**(205/4)
Simplify s**(2/7)*s**0*s*s**(-1/3)*s*s*s*s**(-3) assuming s is positive.
s**(20/21)
Simplify ((v*v**(4/5))/(v*v*v**1*v))**(-24) assuming v is positive.
v**(264/5)
Simplify (f**(1/6)/f)**43 assuming f is positive.
f**(-215/6)
Simplify (a**(-6)/a)**(-21/5) assuming a is positive.
a**(147/5)
Simplify (u**(-1/3))**(-11/6)/(((u/(u*u*u**4*u))/u)/u**6) assuming u is positive.
u**(245/18)
Simplify ((p*p**(-3/8))/p**4)/(p**(1/15)/(p*p/(p*p*p**8))) assuming p is positive.
p**(-1373/120)
Simplify (l**(-3)*l*l**(2/3))**(-38) assuming l is positive.
l**(152/3)
Simplify (t*t**(-1/2)*(t**(-4)/t)/t*t)**16 assuming t is positive.
t**(-72)
Simplify (c**2)**(-1/2) assuming c is positive.
1/c
Simplify (b**(-1/6)*b**2)**(-1/7) assuming b is positive.
b**(-11/42)
Simplify p**(-5/4)*p**17 assuming p is positive.
p**(63/4)
Simplify (s*(s/(s**4/s))/s*s*(s**(4/11)/s*s)/s)/(s**(-9)/(s/s**(2/9))) assuming s is positive.
s**(806/99)
Simplify ((g*g/(g**(-3)*g)*g)/(g/(g**(1/6)/g)))/(g**(2/13)/g*g**(-2/5)) assuming g is positive.
g**(1721/390)
Simplify (s*(s*s/s**4)/s*s)/s**(-2/7)*(s**(-1))**(-3/10) assuming s is positive.
s**(-29/70)
Simplify (j/j**(2/19))/(j**(-5/8)/j) assuming j is positive.
j**(383/152)
Simplify (m**(2/17))**(8/7) assuming m is positive.
m**(16/119)
Simplify ((f/f**3)/(f/f**(1/2)*f))/(f**(-2/3))**(-2/3) assuming f is positive.
f**(-71/18)
Simplify g*g**(-1/9)*g**(1/7)/g assuming g is positive.
g**(2/63)
Simplify (t**(-15)*t)/t**(-5) assuming t is positive.
t**(-9)
Simplify (p**4*p**2)**(-25/2) assuming p is positive.
p**(-75)
Simplify ((y**(1/3)*y)/((y*y/(y**(-4)/y)*y)/y))**(-3/38) assuming y is positive.
y**(17/38)
Simplify (j**(-1))**(8/7)/(j**(1/8)*j*j/j**(-1)) assuming j is positive.
j**(-239/56)
Simplify (g**(-6))**(-2/61) assuming g is positive.
g**(12/61)
Simplify (l/(l*l**1/l*l)*l*l)**(6/7)*l**(-8)*l*l**4*l*l assuming l is positive.
l**(-1/7)
Simplify n/(n/n**(-16))*n*n**(-17) assuming n is positive.
n**(-32)
Simplify (r**11)**15 assuming r is positive.
r**165
Simplify ((z*z/(z/z**(2/13))*z)**(2/41))**(-42) assuming z is positive.
z**(-2352/533)
Simplify (y**(2/7)/y**(-3))**(-41) assuming y is positive.
y**(-943/7)
Simplify (s**(-1)*s)**(3/7)*(s**(2/9)*s)/(s*(s**(3/10)*s*s)/s*s*s) assuming s is positive.
s**(-277/90)
Simplify (n**2*n**(-2/5))**(-2/5) assuming n is positive.
n**(-16/25)
Simplify (k*(k/(k/((k**0/k*k)/k)*k))/k)/(k/k**(-1/10))*k/(k/((k**(2/9)*k)/k))*k**(-2) assuming k is positive.
k**(-439/90)
Simplify ((w*w**7*w)/w)/w**(-8) assuming w is positive.
w**16
Simplify (y/(y/(y*y**(3/23))))/((y**(1/12)/y*y)/y) assuming y is positive.
y**(565/276)
Simplify (p**(2/7)*p**(-10))**(8/7) assuming p is positive.
p**(-544/49)
Simplify (y/(y/(y*y/(y*y**1))*y))**(-34/5)/(y/((y/(y/y**(-2/9)*y))/y)*y*y*y*y/y**0*y) assuming y is positive.
y**(-64/45)
Simplify ((q/q**(-5))/q)**(-1/48) assuming q is positive.
q**(-5/48)
Simplify o**1*o**(-20) assuming o is positive.
o**(-19)
Simplify ((((z/(z*z/z**(5/4))*z)/z*z)/z)/(z*z*(z/(z**9/z))/z))/((z*z*z/(z*z**(3/10)/z)*z*z)/z**(-1)) assuming z is positive.
z**(11/20)
Simplify (x*x*x*x**0)/x**0*x/((x/(x/x**(-1/7)*x))/x*x)*x**6*x assuming x is positive.
x**(85/7)
Simplify (n**(1/7)/n*n**(3/5)/n*n)/(((n*n**(-8))/n*n)/n*n**(-2/13)/n) assuming n is positive.
n**(4048/455)
Simplify (((x**(4/21)/x)/x)/x)/((x**27*x)/x) assuming x is positive.
x**(-626/21)
Simplify l**(-10)*l*((l**(-40)/l)/l)/l assuming l is positive.
l**(-52)
Simplify w**(3/13)/w*w/w**1 assuming w is positive.
w**(-10/13)
Simplify o/o**(-1/3)*o**(-6)/o*((o/((o/o**(-2/9))/o))/o)**(-2/41) assuming o is positive.
o**(-2087/369)
Simplify l**(-1/3)*l*l/(l*l**(5/6))*l/l**(-6)*l*l**4 assuming l is positive.
l**(71/6)
Simplify ((p/(p*p/(p/p**3)*p))/p**5)/(p*p**1)**(-10/17) assuming p is positive.
p**(-133/17)
Simplify (q*q**(-13)*q)**18 assuming q is positive.
q**(-198)
Simplify p**15/(p/(p**(-1/6)*p)) assuming p is positive.
p**(89/6)
Simplify (k**(-1/3)*k**(2/3))/((k/(k*k**(-6)))/k**1) assuming k is positive.
k**(-14/3)
Simplify h**(2/13)*h*(h*(h/((h*h/((h**0*h)/h*h*h)*h)/h))/h*h*h)/h*(h/(h/((h/(h**(-2/5)/h))/h)))/(h**(5/4)/h) assuming h is positive.
h**(1119/260)
Simplify (a*(a*a*a**(-1/4)*a*a)/a*a)**(-37) assuming a is positive.
a**(-703/4)
Simplify v**(-14)/(v**(-9)/v) assumi | {
"pile_set_name": "DM Mathematics"
} |
Expand (q**2 + 2*q**2 - q**2)*(0 + 1 + 0 + (2 + 0 + 1)*(2 + 0 + 0) + 0 - 4 + 2).
10*q**2
Expand 12*s**3 - 23*s**2 + 23*s**2 + (1 - 1 + 1)*(0*s**2 + 0*s**2 + 2*s**3).
14*s**3
Expand (-4*k + 2*k + 0*k)*(-2*k - 3*k + 6*k) + k**2 + 2 - 2 + 1 + 2*k**2 - 1 - 4*k**2 + k + 6*k**2 + 2 - 5*k**2.
-2*k**2 + k + 2
Expand (2*n - 5*n + 0*n)*((-2 - 4 + 4)*(2 + 5 - 6) - 2 + 4 - 1 + 2 + 0 - 3).
6*n
Expand (0 + 0 + 2)*(1 - 1 + 9*q**2) + (-5*q + 4*q + 3*q)*(-4*q + 4*q + 2*q).
22*q**2
Expand (-4 + 4 + 1)*(0 + 0 - 2*u**2) - 2*u**2 + 0*u + 0*u**2 + 3*u.
-4*u**2 + 3*u
Expand (22*j**2 - 4*j**2 + 7*j**2)*(2*j - 2*j - j**3) + j**5 - j**5 - j**5.
-26*j**5
Expand (2*d - d**3 - 2*d)*(-2*d + d + 3*d) + 2*d**4 - 2*d**4 + d**4 - 26*d**3 - 8*d**4 + 26*d**3 + (-2*d**2 - 2*d**2 + 2*d**2)*(-d**2 - 2*d**2 + d**2).
-5*d**4
Expand k**5 + 0*k**3 + 0*k**3 + 2*k**5 + 2*k**5 - 3*k**5 + (-4 + 4 - 1)*(-k**5 + 3 - 3) + (0*k**5 - 3*k**5 + k**5)*(2 + 2 - 6).
7*k**5
Expand (-9 + 9 - 3*z)*(5 - 2 + 0)*(2 - 2 - 1).
9*z
Expand (-3 + 3 - r)*(8 + 20 - 11).
-17*r
Expand ((2 - 6 + 3)*(-t + 3*t - t) - t + 2 - 2 - t + 2 - 2)*(8*t**3 - 11*t**3 + 25*t**3).
-66*t**4
Expand (2*q**3 + 2*q**3 - 3*q**3 + (-3*q**2 + q**2 + 0*q**2)*(0 + 0 + q))*(1 + 3*q - 10 - 4*q).
q**4 + 9*q**3
Expand (4*b**2 + 3*b**2 - 5*b**2)*(5*b - 3*b - b) + 0*b**2 + 0*b**2 + 2*b**3 - 18*b**3 + 17*b**3 + 79*b**3 + b - b - b**3.
81*b**3
Expand (5*i**3 - 2*i**3 - 2*i**3)*(-4 + 1 + 2).
-i**3
Expand (2 - 2 + g)*(3 + 1 - 5)*(-12*g + 4*g**2 + 12*g).
-4*g**3
Expand (9 + 4 + 2*c - 14)*(1 - 1 - c**3 - 1).
-2*c**4 + c**3 - 2*c + 1
Expand -2*r + 0*r + r + (4*r - 20 + 20)*(2 + 3 - 6).
-5*r
Expand (-n + n - 4*n)*(-13 + 2*n + 13).
-8*n**2
Expand ((2*f + 1 - 1)*(2 - 1 + 1) + 6*f - 3*f - 4*f + 4*f - 4*f + 2*f)*(2*f + 6*f - 7*f).
5*f**2
Expand 156*s**5 - 92*s**5 - 146*s**5 + (0*s**2 - s**2 + 0*s**2)*(-4*s**3 - s**3 + 4*s**3).
-81*s**5
Expand (-3*d - 1 + 1)*(-1 + 0 - 3)*(3*d - d**2 - 3*d).
-12*d**3
Expand (3*q - 4*q + 3*q)*(0*q + q + q) + (q + q - q)*(0*q + 3*q - 4*q).
3*q**2
Expand (2*o**3 - 4*o**3 + 3*o**3)*(-4 - 2 + 7 + (-2 - 4 + 4)*(-2 + 5 - 2))*(-11 + 11 + 4*o).
-4*o**4
Expand -s**5 + 0*s**5 + 3*s**5 + (0 + 0 - 2)*(-3*s**5 - 2*s**5 + 3*s**5) + 2*s**5 + 1 - 4*s**4 + 2*s**5 + 6*s**4.
10*s**5 + 2*s**4 + 1
Expand 4 - i - 4 + (-1 + 4 - 1)*(-3*i + 6 - 6).
-7*i
Expand 4*m - 4*m + m**4 + (4 - 3 + 0)*(m**4 + 2*m**4 + m**4).
5*m**4
Expand 188 - 188 + 29*a + a + 1 - 1 + (-3*a + 4*a + a)*(-2 - 2 + 2) - a - a + 3*a.
27*a
Expand (o + 2*o + 0*o)*(-2*o**3 - 2*o + 3*o + 0*o**3).
-6*o**4 + 3*o**2
Expand (2 + 2 - 3)*(4*q + 0*q - 2*q) + 1 - 2 + 4 + 3*q.
5*q + 3
Expand -w**4 + 4*w**4 - 2 - w**4 + 2*w**4 - 3*w + 3*w + (-2*w**3 - 2*w**3 + 6*w**3)*(0*w + 4*w - 6*w) - w**4 - 4*w**2 + 4*w**2.
-w**4 - 2
Expand (-3 + 1 + 4)*(3 + 2 - 2)*(-16 - 20*q + 16).
-120*q
Expand 3 + 2*s - 3 + (-4 - 2*s + 4)*(2 + 0 - 3) + 3*s + 4*s - 3*s.
8*s
Expand (-5*r**4 + 6*r**3 - 6*r**3)*(-2 - 3*r + 2 + r - 4 + 4 - 4 + 2*r + 4 + (0 - 2 + 3)*(4*r + 2*r - 4*r) + 2*r - 3*r + 2*r).
-15*r**5
Expand ((0*r - 3*r + 4*r)*(2 - 6 + 3) + 185 - 185 - 35*r)*(0*r**3 + r**3 - 3*r**3).
72*r**4
Expand (-2*y**2 + y**2 + 2*y**2)*(-2*y - 2*y + 2*y) + (-4 + y**3 + 4)*(1 - 1 - 1).
-3*y**3
Expand (-176*c**2 + c + 1 + 179*c**2 - 2)*(-2 - 1 + 4).
3*c**2 + c - 1
Expand 2 - 2 - 2*d + (5 - 3 + 0)*(3*d + d - 3*d)*(3 + 1 - 2).
2*d
Expand (-4 + 1 + 1)*(12*k - 86 + 12*k - 25*k).
2*k + 172
Expand (0*j - 2*j + j)*(3*j + j - 3*j) + 0*j**2 - j**2 - 1 - 19*j + j.
-2*j**2 - 18*j - 1
Expand (4 + 4 - 6)*((0 - f + 0)*(-2 - 2 + 5) - f - 1 + 1).
-4*f
Expand (-2*i - 4*i + 5*i)*(-2*i - i**2 + 2*i) + 33*i**3 + 8*i**3 + 21*i**3.
63*i**3
Expand (-2 + 4 + 0 - 1 + 4 + 0 + (1 - 3 + 4)*(-3 + 1 + 1) + 1 + 0 - 3 + 1 - 1 + 1)*(2*f + 0*f - 4*f).
-4*f
Expand (-2*p**3 - p**3 - 3*p**3)*(-2*p**2 + 3*p - 3*p).
12*p**5
Expand (-b + 0*b + 3*b)*(1 + 4 - 3) + 2 + b - 2.
5*b
Expand -10*b**5 + 42*b**5 - 22*b**5 + 4*b**5 + b**5 - 3*b**5 + (b**4 - 2*b**4 - b**4)*(-b + b + 3*b).
6*b**5
Expand (-1 + 2 - 3)*(19 - 19 + 8*x**2).
-16*x**2
Expand 3*p**5 - 2*p**4 + 2*p**4 - 2*p**5 - 3 + 3 + (2*p - p + 0*p)*(2*p**2 - 2*p**2 - 3*p**4).
-2*p**5
Expand -r**3 - 3*r**2 + 3*r**2 + r**3 - r + r - 4*r**3 + r**3 + 2*r**3 + (-2*r + 2*r - 2*r**3)*(-2 - 2 + 2) - 2*r**3 + 0*r + 0*r + 3*r**3 + r**3 - 6*r**3.
-r**3
Expand 0 - w**5 + 0 + 1 - 2*w**5 - 1 + (2 - 2 + 2*w)*(-3*w**4 - w**4 + 2*w**4) - 3*w**3 - 11*w**5 + 3*w**3.
-18*w**5
Expand (-2*q + 5*q - q)*(-19 - 19 - 7)*(-1 - 1 + 3).
-90*q
Expand (3*p**2 - 6 + 6)*(-16 - 3*p**3 + 0*p**3 + 12).
-9*p**5 - 12*p**2
Expand -2*i**5 + i**2 - i**2 + (6*i**2 - 3*i**2 - i**2)*(i**2 - i**2 + 2*i**3) + 2*i**3 + i**5 - 2*i**3.
3*i**5
Expand (-2 + 8 + 14)*(-2 + 2 + 2)*(-h + 3*h - 3*h).
-40*h
Expand (2*r**2 - 36*r**3 + 0*r**2 + 59*r**3)*(-1 + 1 + r**2).
23*r**5 + 2*r**4
Expand (-2 + 0 + 0)*(-4*j**2 + 5 - 5).
8*j**2
Expand (-2*m + 4*m + 0*m)*(1 - 2 + 2) + 27 - 7*m - 27.
-5*m
Expand (3*f + 3*f + 0*f)*(-3*f**4 + 0*f**4 + 4*f**4).
6*f**5
Expand (2 - 3*b**2 + 3*b**2 + b**2)*(-12*b + 10*b - 9*b).
-11*b**3 - 22*b
Expand (3*t**3 - t**3 - 5*t**3)*(0 + 0 + 1) + 0*t**3 - t**3 + 2*t**3 + (-t**2 - 1 + 1)*(0*t + 4*t - t).
-5*t**3
Expand -k**4 + k**4 + k**4 + (2*k**2 - k**2 - 2*k**2)*(4 - 4 + k)*(0*k + 2*k + 0*k + (1 + 0 + 2)*(-17 - 7*k + 17)).
20*k**4
Expand (4*h - 6*h + 3*h)*(0*h**2 + h**3 + 0*h**2) + 3*h**2 - 2*h**4 - 3*h**2 + 286*h**2 + 1 - 16*h**4 - 286*h**2.
-17*h**4 + 1
Expand (d**2 + 0*d**2 + d**2)*(-2 - d**2 + 2) + (d**2 + 3*d**2 - d**2)*(7*d**2 - 3*d**2 + 0*d**2 + 2*d) + 10*d**2 - 3*d**4 - 10*d**2.
7*d**4 + 6*d**3
Expand t + 3*t**4 - t + (-2 + 2 - 2*t**3)*(4*t - 2*t + 0*t) - 4*t**4 + 4*t**3 - 4*t**3.
-5*t**4
Expand (14*k**2 + 17*k**2 - 25*k**2)*(-2*k + 0*k + k + (-3 + 3 + k)*(0 + 0 - 2) - 4*k - 3*k + 5*k).
-30*k**3
Expand (m**4 + 3*m**4 - 2*m**4)*(-4*m + 5*m + m - 1 + 2*m + 1 + (m - 3 + 3)*(-4 + 3 - 1) + 2*m + 0*m - m).
6*m**5
Expand -2*h - 2*h + 3*h + (0*h + 2*h - h)*(-4 + 0 + 6) - 3*h - h + 2*h + 157 - 157 - 19*h.
-20*h
Expand (-4 - 4 + 5)*(-9*a - 31 + 31)*(-4 + 1 + 4)*(5*a - 2*a - 2*a).
27*a**2
Expand -b + b - 2*b**5 + (-3*b**3 - 3*b**5 + 3*b**3)*(-4 + 1 + 2).
b**5
Expand (15 - 3*w**3 - 15)*(5 - 2 - 1).
-6*w**3
Expand (-2 + 0 + 3)*(-2*m - 8 + 0*m + 9)*(-4 + 0 + 0).
8*m - 4
Expand -2*t**4 + 4*t**4 + t**4 + (-1 - t + 1)*(-2*t**3 - t**3 + 0*t**3).
6*t**4
Expand (-2 + g + 2)*(0*g - g + 2*g) + (-2*g + g - 3*g)*(2 - 5 + 7*g - 2*g).
-19*g**2 + 12*g
Expand 29*o**4 - 8*o**4 - o**4 + (-2*o - o + 2*o)*(2*o**3 + 3*o**3 - 3*o**3).
18*o**4
Expand 46*h**4 + 47*h**4 - 91*h**4 - 69*h**5 + (-h**2 - 2*h**3 + h**2)*(h**2 + 2*h - 2*h).
-71*h**5 + 2*h**4
Expand 54*i**2 + 55*i**2 - 111*i**2 - i**4 + 36*i + i**4 - i**4 - 2*i**4 + (5 - 2 - 2)*(-i + i - i**4) + 0 + 0 + 2*i**4.
-2*i**4 - 2*i**2 + 36*i
Expand -2 - w + 2 + (-2 + 5 - 1)*(6*w - 3*w - w) - 4*w + 3*w + 2*w - 5*w + w + 2*w + 4*w - w - 2*w + 0 + 0 - 3*w + (-3 + 7 - 3)*(4*w - 4*w - 2*w).
-2*w
Expand (-26*q**3 + 4*q**2 - 9*q**2 + 2*q**2)*(-2*q - 1 + 1).
52*q**4 + 6*q**3
Expand 2*g**3 + g**3 - 2*g**3 + ((6 - 4*g**2 - 6)*(-2 + 2 + g) - 3*g**3 + g**3 + 0*g**3)*(0 + 0 + 1).
-5*g**3
Expand (0 + 0 + 2*b)*(3*b**2 - 5*b**2 + 3*b**2 + (3*b - 4*b - b)*(b + 0 + 0) - 29*b**2 + 9*b**2 - 18*b**2).
-78*b**3
Expand (-2 + 4 - 1)*(t + 30*t + 4*t).
35*t
Expand (0 + 0 - r**2)*(10 - 9*r**2 - 10 + (-r - 2 + 2)*(2 + 2*r - 2) + 2*r - 2*r + r**2).
10*r**4
Expand ((-2*m + 0 + 0)*(-3 + 2 - 1) + 0 + 0 - 2*m)*(-8*m - 9*m + 7*m).
-20*m**2
Expand (3 + 2 + 1)*(-3*l**5 + l**5 + l**5) + l**5 + l**5 + 0*l**5 - 5*l**3 + l**5 + 5*l**3.
-3*l**5
Expand -a**5 + a**5 - 2*a**5 + (3 - 4 + 6)*(2*a**2 + 5 + 2*a**5 + 9*a**4 - 5).
8*a**5 + 45*a**4 + 10*a**2
Expand (-4*j**3 + 5*j**2 + 5*j**2 - 8*j**2)*(-3 + 5 - 3)*(2*j + 0*j + 2 - 3).
8*j**4 - 8*j**3 + 2*j**2
Expand (-j**4 + 3*j**4 - 3*j**4)*(2*j + 2*j - 2*j) + (-j**3 + j**3 - j**3)*(18*j**2 - 1279*j + 1279*j).
-20*j**5
Expand y - y + 3*y**2 + (1 + y + 4 + 0*y)*(0 + 0 - y).
2*y**2 - 5*y
Expand ((0*d - 4*d + 0*d)*(3 - 4 - 1) - 3*d - d + 5*d + (5 - 3 - 1)*(-2*d + 5*d - d) + 4*d - 3*d + 0*d)*(-2 - 3 + 3).
-24*d
Expand (5 - 5 + 6*g)*(0 + 2 + 1)*(0 + 0 + g).
18*g**2
Expand 3*c**3 - 100 + 100 - 2*c**2 + (0*c - 2*c + 4*c)*(-c + c - c**2).
c**3 - 2*c**2
Expand (0 + 0 + 2*m)*(1 + m - 1) - 30*m**2 + 36*m**2 + 35*m**2.
43*m**2
Expand ( | {
"pile_set_name": "DM Mathematics"
} |
an -0.573?
False
Does 46/29 = 3?
False
Is -217 bigger than -217?
False
Is 2.96 at least as big as -5/4?
True
Is 6 greater than or equal to 0?
True
Is 343 smaller than 344?
True
Is 5470 at most 5470?
True
Is 8025 greater than 8024?
True
Is -44 less than -467?
False
Do -0.09 and -15 have the same value?
False
Does -138 = -139?
False
Which is bigger: 0.3 or -2271?
0.3
Do -67 and -63 have different values?
True
Which is greater: -20/407 or -1?
-20/407
Which is smaller: -11162 or -11160?
-11162
Do -2/5387 and 1 have different values?
True
Which is bigger: 88/7 or -1?
88/7
Is 16 != -15?
True
Which is smaller: 126 or 123?
123
Is -5.74 bigger than 0.01?
False
Is -2/11941 < -1?
False
Is -1757 < 4?
True
Is -0.4 at least as big as 204?
False
Is 24188 less than or equal to 24187?
False
Is 1651 <= 1653?
True
Is -2.2 < -4?
False
Which is greater: 647 or 643?
647
Is 469 smaller than 471?
True
Is -29 at least as big as -660/23?
False
Which is bigger: 4 or -1901?
4
Which is bigger: -1166 or -1162?
-1162
Are -195 and -197 non-equal?
True
Are 9088 and 9087 non-equal?
True
Which is smaller: 0.1 or 0.0136?
0.0136
Which is bigger: -506 or -507?
-506
Which is smaller: -2/289 or 0?
-2/289
Which is smaller: 1 or 7/2143?
7/2143
Is 24 < -7.3?
False
Which is greater: -6807 or 1?
1
Are 763 and 762 non-equal?
True
Is 47119 < 47119?
False
Which is greater: 1 or -1/265?
1
Which is smaller: -46/313 or -1?
-1
Is -26 >= -1.1?
False
Which is smaller: 1/2 or 0.78?
1/2
Which is smaller: -2/17 or 11?
-2/17
Is -8/4131 >= 1?
False
Which is smaller: 30 or 745/24?
30
Does 19/6 = 3?
False
Which is smaller: -33 or -24?
-33
Is 1/45 <= -8?
False
Is -0.6 less than or equal to -1220?
False
Which is bigger: 2/287 or 0?
2/287
Which is smaller: -100 or 0.1?
-100
Is 170 at least as big as 169?
True
Which is smaller: 400 or 403?
400
Is -1907/2 less than -955?
False
Is -32469 not equal to -32469?
False
Which is smaller: 4374 or 2/7?
2/7
Is 395 < 395?
False
Which is smaller: 6 or 374/61?
6
Are -22286 and -22284 nonequal?
True
Is -207/4 less than -52?
False
Which is bigger: 1 or 5/4?
5/4
Is 1169 not equal to 1168?
True
Which is greater: -15/7 or -2?
-2
Do -29 and -117/4 have the same value?
False
Is 334 at least 336?
False
Which is bigger: 1/414 or 1?
1
Is 0 less than -9/2989?
False
Do 2645 and 2646 have the same value?
False
Is 87 greater than 90?
False
Which is smaller: 0 or 1/359?
0
Is 0.1 != 810?
True
Does -3/1483 = 0?
False
Which is smaller: -1/652 or -1?
-1
Which is bigger: -0.45 or 10?
10
Is -0.018 less than 3/29?
True
Is 125 at least as big as 124?
True
Which is smaller: -20256/5 or -4051?
-20256/5
Are -44 and -474/11 unequal?
True
Is -56 equal to -56?
True
Is -39 at most 3?
True
Which is smaller: -2/1217 or -1?
-1
Do 0 and 192/445 have the same value?
False
Is -6/17 greater than 0.2?
False
Is 350 at most 350?
True
Is 93 bigger than 95?
False
Which is smaller: 3.4 or 4/3?
4/3
Is 11066 at least as big as 11066?
True
Which is bigger: 0.1 or 0.2527?
0.2527
Is 40 at most 6?
False
Which is smaller: 187 or -1/3?
-1/3
Is -43 at least 0.18?
False
Is 2134 bigger than 2135?
False
Is 0.1 <= 1110/7?
True
Are 1 and -4/151 equal?
False
Is -7 at most 23?
True
Is 0 greater than -12/4813?
True
Is 372/89 at most 4?
False
Which is bigger: -247 or -302?
-247
Which is bigger: 142.1 or 2?
142.1
Which is greater: -2 or 2/11?
2/11
Is -0.16 > 47?
False
Are -303 and -303 equal?
True
Is 1098 at most as big as 1098?
True
Is -10 smaller than -0.04?
True
Is 1542 bigger than 1538?
True
Is -16883 less than or equal to 1/2?
True
Does -2444 = -2443?
False
Is 0 at least -3/2080?
True
Which is smaller: 2/68715 or 1?
2/68715
Which is smaller: 4 or 105/41?
105/41
Which is smaller: 301 or 284?
284
Which is greater: -1 or 2/235?
2/235
Is -5/822 at most 0?
True
Is -511/3 != -169?
True
Is -2/7 less than -1/3?
False
Is -1047 >= -1055?
True
Which is bigger: 1 or -1/4602?
1
Which is greater: -70 or 1.7?
1.7
Is 7/4 equal to -238?
False
Is 4668 at least 4669?
False
Which is bigger: -3/7 or -174/17?
-3/7
Which is bigger: 22 or -8?
22
Which is bigger: -1/694 or 1?
1
Which is bigger: 1 or 2/30987?
1
Is 3/316 at least 1?
False
Is 2282 greater than -2/5?
True
Which is smaller: 0 or 14/377?
0
Are -12 and 0 non-equal?
True
Which is bigger: -30223/4 or -7556?
-30223/4
Which is smaller: 3/7 or -45?
-45
Which is smaller: -2 or -44/29?
-2
Which is smaller: -8 or 0.5?
-8
Is 2029 less than 2026?
False
Which is smaller: -1270 or 0?
-1270
Is 0 < 10/117?
True
Is -383/6 at most -64?
False
Is -5773 at most -5772?
True
Which is smaller: -2.4 or 84?
-2.4
Which is smaller: -2 or -41/22?
-2
Is -0.2 <= -712?
False
Which is greater: 4431 or 4430?
4431
Is 299.9 != -1?
True
Which is greater: -76/71 or 0?
0
Do 6/55 and 8 have the same value?
False
Is 35080 smaller than 35080?
False
Does 51/92 = 2?
False
Which is smaller: -1 or -3/949?
-1
Is 4 != 31/7?
True
Is 0 less than 3/11?
True
Which is smaller: 12 or -32?
-32
Is 79 at least 562/7?
False
Are 1189 and 1188 equal?
False
Which is bigger: -0.2 or -42/11?
-0.2
Is 2/7 greater than or equal to 372?
False
Is 1605 smaller than 1602?
False
Is -1214 at most as big as -1217?
False
Which is bigger: -0.48 or -2/5?
-2/5
Do 157 and 162 have different values?
True
Is -99 bigger than -896/9?
True
Which is smaller: -537 or -538?
-538
Is -11/2798 at most as big as 0?
True
Is -294 > -1?
False
Which is smaller: 1/2 or 1/364?
1/364
Which is smaller: 0.85 or 2/37?
2/37
Which is smaller: 0 or 9/1285?
0
Is -73 greater than -78?
True
Is -106 at most -105?
True
Which is bigger: 28 or 141/5?
141/5
Do 174 and 1049/6 have different values?
True
Is 27/23 at most as big as 1?
False
Which is smaller: -7.6 or 38?
-7.6
Which is bigger: -5 or 6.1?
6.1
Which is bigger: 3/116 or -1?
3/116
Is 0 smaller than 6/511?
True
Which is bigger: 133 or 132?
133
Which is smaller: 5338 or 5336?
5336
Do 239 and 268 have different values?
True
Which is smaller: -22793/4 or -5697?
-22793/4
Is -4/9035 at least as big as -1?
True
Is 48427 at least as big as 0?
True
Which is smaller: 17/44 or 1?
17/44
Is -122 greater than -0.8?
False
Is 4 > 725?
False
Which is bigger: -1 or 7/713?
7/713
Are 106 and 116 unequal?
True
Which is smaller: -386 or -382?
-386
Is 2.4 <= -52?
False
Which is bigger: -86 or -5?
-5
Which is smaller: 0 or 12/55?
0
Which is bigger: -0.05 or -1/6?
-0.05
Is 3 not equal to 3?
False
Which is smaller: 1 or -1/4534?
-1/4534
Is 29 smaller than -2/13?
False
Is -0.005 > -26/7?
True
Is -3 at most as big as -0.14?
True
Which is smaller: -3560 or -3561?
-3561
Is 201 smaller than 210?
True
Which is bigger: 0.25 or 1/13?
0.25
Which is greater: 16 or 19?
19
Which is smaller: -179 or -535/3?
-179
Is -2 greater than or equal to -42/13?
True
Which is smaller: -1 or -3/16?
-1
Is 885 greater than 883?
True
Which is smaller: 29 or 13?
13
Which is smaller: 70 or 8?
8
Which is smaller: 291 or -2/7?
-2/7
Is -0.1 smaller than -0.07709?
True
Is -23 at least as big as -23?
True
Which is smaller: 14/3 or 6?
14/3
Which is greater: 170 or 171?
171
Which is smaller: 4825 or 4826?
4825
Does 1 = 17/19?
False
Is 0 bigger than 19/629?
False
Which is greater: -27 or 0.83?
0.83
Is 1/242 bigger than -1?
True
Which is greater: -254 or -256?
-254
Which is bigger: 0 or 54?
54
Is 69 < 71?
True
Which is greater: 3/22 or -209?
3/22
Is -776 greater than -775?
False
Which is smaller: -119 or -120?
-120
Do 1970/7 and -2/7 have different values?
True
Which is smaller: -242 or -243?
-243
Which is smaller: 766 or 763?
763
Is 1/282 at least as big as 1?
False
Are -1 and -37/380 nonequal?
True
Which is bigger: 2 or 14/23?
2
Do -900 and -898 have the same value?
False
Is -13/1177 at least as big as -1?
True
Is 12/13 != 2?
True
Is -263/6 at most as big as -43?
True
Which is greater: -2103/5 or -422?
-2103/5
Which is smaller: 2 or 240/169?
240/169
Which is smaller: 1 or -166?
-166
Is 65 > 64?
True
Is 201 at most as big as -2?
False
Is -2 less than or equal to 177?
True
Are 145/306 and 1 equal?
False
Are 888 and 888 non-equal?
False
Which is smaller: -2.7 or 266?
-2.7
Which is bigger: -12122 or -12121?
-12121
Which is smaller: -2 or 171?
-2
Are -67 and -525/8 non-equal?
True
Is 501 less than 475?
False
Which is smaller: -2/877 or -2/7?
-2/7
Which is greater: 10642 or 10641?
10642
Which is smaller: | {
"pile_set_name": "DM Mathematics"
} |
eplacement from {s: 3, j: 5, g: 5, y: 1, r: 2}. What is prob of sequence ggg?
1/56
Calculate prob of sequence eeqr when four letters picked without replacement from {e: 4, q: 4, p: 3, r: 2, i: 3}.
1/455
Two letters picked without replacement from {w: 2, v: 2, s: 4, z: 2}. What is prob of sequence sw?
4/45
What is prob of sequence qt when two letters picked without replacement from tthhtqrtth?
1/18
What is prob of sequence ajyi when four letters picked without replacement from iyaainjs?
1/420
Four letters picked without replacement from {d: 1, z: 1, w: 1, t: 1, v: 1}. What is prob of sequence dwzt?
1/120
Two letters picked without replacement from zzzzqdddqzzqz. What is prob of sequence qq?
1/26
Two letters picked without replacement from oqzznzzzzzzoz. What is prob of sequence nz?
3/52
What is prob of sequence zzzz when four letters picked without replacement from {z: 9}?
1
What is prob of sequence tsnz when four letters picked without replacement from {t: 1, v: 1, n: 1, z: 5, s: 2}?
1/504
Four letters picked without replacement from {l: 4, o: 2}. What is prob of sequence llll?
1/15
Four letters picked without replacement from fpvffppvvpvvevjpp. What is prob of sequence pvpe?
3/952
What is prob of sequence ax when two letters picked without replacement from bzbapadpxpza?
1/44
Two letters picked without replacement from {b: 4, d: 2}. What is prob of sequence db?
4/15
What is prob of sequence gv when two letters picked without replacement from wvvuwwgucwwvu?
1/52
What is prob of sequence kk when two letters picked without replacement from vkkvkkkkkk?
28/45
Three letters picked without replacement from {m: 2, i: 11}. Give prob of sequence mmi.
1/78
What is prob of sequence so when two letters picked without replacement from ssosx?
3/20
Calculate prob of sequence ozy when three letters picked without replacement from xznioyn.
1/210
Calculate prob of sequence tut when three letters picked without replacement from {s: 1, u: 4, t: 1, y: 3, f: 2}.
0
Four letters picked without replacement from {g: 2, s: 5, q: 2, e: 1, j: 1, w: 5}. What is prob of sequence wqsw?
5/1092
Four letters picked without replacement from {c: 9, u: 3, f: 7}. What is prob of sequence ucuf?
21/5168
What is prob of sequence ppp when three letters picked without replacement from lplpphllpp?
1/12
What is prob of sequence oo when two letters picked without replacement from {l: 4, o: 14}?
91/153
Three letters picked without replacement from zbczcqlbh. Give prob of sequence hzb.
1/126
Four letters picked without replacement from {x: 1, d: 2, n: 2, l: 4, q: 3, g: 3}. Give prob of sequence lngx.
1/1365
Three letters picked without replacement from zlxz. What is prob of sequence zxz?
1/12
Calculate prob of sequence ts when two letters picked without replacement from ssstt.
3/10
Calculate prob of sequence yz when two letters picked without replacement from nozyppoono.
1/90
What is prob of sequence ww when two letters picked without replacement from mmmmmwmmmmmw?
1/66
Three letters picked without replacement from {c: 5, i: 3}. What is prob of sequence ccc?
5/28
Two letters picked without replacement from oboububbueleww. Give prob of sequence wb.
4/91
Three letters picked without replacement from kakkkggkdkgkkggkkdk. Give prob of sequence gag.
10/2907
Three letters picked without replacement from oawawcaawoaooww. Give prob of sequence wwc.
2/273
What is prob of sequence ldln when four letters picked without replacement from {l: 6, n: 5, c: 3, d: 1, z: 5}?
5/3876
Two letters picked without replacement from {d: 2, b: 4}. What is prob of sequence db?
4/15
Calculate prob of sequence nnc when three letters picked without replacement from nnnnnnnnnncnnnn.
1/15
What is prob of sequence ioff when four letters picked without replacement from {i: 3, f: 2, g: 6, e: 5, o: 1}?
1/9520
Three letters picked without replacement from eeeeeejeeejejejeeej. What is prob of sequence eee?
364/969
Calculate prob of sequence kk when two letters picked without replacement from kmdnc.
0
What is prob of sequence lz when two letters picked without replacement from mmqmzmllymlmmmllmlll?
2/95
Calculate prob of sequence pppv when four letters picked without replacement from {p: 2, v: 4, z: 1, o: 2}.
0
What is prob of sequence dyed when four letters picked without replacement from {u: 1, d: 2, e: 1, q: 5, s: 2, y: 2}?
1/4290
Three letters picked without replacement from btbbtbbtttbbbtpbbpb. What is prob of sequence tpt?
10/969
Two letters picked without replacement from {w: 1, b: 6, c: 4, g: 3, t: 2, d: 2}. Give prob of sequence gb.
1/17
Calculate prob of sequence wl when two letters picked without replacement from {l: 3, r: 5, w: 5}.
5/52
Two letters picked without replacement from {p: 1, m: 1, z: 1, l: 1, g: 1}. Give prob of sequence lg.
1/20
What is prob of sequence rxx when three letters picked without replacement from rxxxxrxrxrxrx?
70/429
Three letters picked without replacement from mrmll. What is prob of sequence rlm?
1/15
What is prob of sequence smb when three letters picked without replacement from lmbsclco?
1/336
Three letters picked without replacement from vvvtkvvtvvtvtttukvu. Give prob of sequence vuu.
1/323
Four letters picked without replacement from afcfcpc. Give prob of sequence capc.
1/140
Calculate prob of sequence dd when two letters picked without replacement from {l: 4, d: 14}.
91/153
Two letters picked without replacement from qnncn. What is prob of sequence nc?
3/20
Calculate prob of sequence jmm when three letters picked without replacement from jjsuomsuujmi.
1/220
What is prob of sequence kb when two letters picked without replacement from buubxxxubuxxxbbuxubk?
3/190
Calculate prob of sequence jn when two letters picked without replacement from iniijjj.
1/14
Three letters picked without replacement from {o: 4, k: 4, p: 2, r: 4}. What is prob of sequence rpp?
1/273
What is prob of sequence bg when two letters picked without replacement from gebgmugg?
1/14
Calculate prob of sequence bvv when three letters picked without replacement from {t: 4, v: 5, l: 7, b: 1, u: 2, i: 1}.
1/342
What is prob of sequence ut when two letters picked without replacement from {s: 1, w: 1, e: 2, t: 4, u: 1}?
1/18
Two letters picked without replacement from {q: 1, v: 4, m: 6, i: 1, k: 3, g: 4}. What is prob of sequence mv?
4/57
Three letters picked without replacement from {x: 4, r: 2, t: 2, u: 2, j: 1, f: 4}. Give prob of sequence rxf.
16/1365
What is prob of sequence rvvv when four letters picked without replacement from {r: 2, v: 6}?
1/7
Two letters picked without replacement from {o: 2, n: 1}. Give prob of sequence no.
1/3
Two letters picked without replacement from {x: 2, z: 1, v: 1, n: 1, e: 3, r: 3}. What is prob of sequence xr?
3/55
Four letters picked without replacement from {u: 12, a: 7}. Give prob of sequence uuaa.
77/1292
What is prob of sequence mmhv when four letters picked without replacement from {j: 3, h: 4, i: 1, m: 2, v: 1, s: 1}?
1/1485
Three letters picked without replacement from {f: 1, x: 2, t: 7}. Give prob of sequence xtf.
7/360
What is prob of sequence jj when two letters picked without replacement from {g: 1, l: 3, q: 1, j: 3, f: 1, m: 2}?
3/55
Two letters picked without replacement from {y: 4, v: 2, c: 8}. What is prob of sequence vv?
1/91
Three letters picked without replacement from fgefgeeeegrgdfef. Give prob of sequence efg.
1/35
Four letters picked without replacement from ojjjjojoojjjoj. What is prob of sequence ojjo?
60/1001
What is prob of sequence zu when two letters picked without replacement from aouozaaa?
1/56
Three letters picked without replacement from {y: 7, g: 5}. What is prob of sequence ygg?
7/66
Four letters picked without replacement from kvkrkvmrmvvamm. Give prob of sequence amrv.
4/3003
Two letters picked without replacement from {f: 1, a: 3}. What is prob of sequence af?
1/4
Two letters picked without replacement from ewuwequwwq. Give prob of sequence qe.
2/45
What is prob of sequence lh when two letters picked without replacement from hlllhhhhlhhlh?
10/39
Calculate prob of sequence yz when two letters picked without replacement from {d: 7, z: 1, j: 1, l: 1, e: 4, y: 5}.
5/342
What is prob of sequence glg when three letters picked without replacement from glgl?
1/ | {
"pile_set_name": "DM Mathematics"
} |
M and 6:59 AM?
139
What is 62 minutes after 3:15 PM?
4:17 PM
What is 148 minutes after 1:22 PM?
3:50 PM
How many minutes are there between 5:14 AM and 7:49 AM?
155
What is 265 minutes after 11:19 AM?
3:44 PM
How many minutes are there between 1:21 PM and 4:43 PM?
202
How many minutes are there between 9:50 PM and 2:01 AM?
251
How many minutes are there between 10:42 AM and 6:01 PM?
439
What is 292 minutes before 6:15 PM?
1:23 PM
What is 691 minutes before 9:23 AM?
9:52 PM
What is 235 minutes after 4:32 PM?
8:27 PM
What is 104 minutes before 11:54 PM?
10:10 PM
What is 175 minutes before 12:52 AM?
9:57 PM
How many minutes are there between 5:34 AM and 7:06 AM?
92
What is 152 minutes before 10:09 PM?
7:37 PM
How many minutes are there between 10:20 AM and 4:36 PM?
376
How many minutes are there between 3:25 AM and 4:01 AM?
36
What is 136 minutes before 10:24 PM?
8:08 PM
What is 82 minutes after 6:08 PM?
7:30 PM
What is 631 minutes after 6:27 AM?
4:58 PM
How many minutes are there between 10:02 PM and 11:43 PM?
101
What is 444 minutes after 1:51 PM?
9:15 PM
What is 91 minutes before 1:05 PM?
11:34 AM
What is 394 minutes before 10:46 PM?
4:12 PM
What is 646 minutes before 8:00 AM?
9:14 PM
What is 689 minutes before 3:59 PM?
4:30 AM
What is 240 minutes before 12:34 PM?
8:34 AM
How many minutes are there between 7:25 PM and 8:05 PM?
40
What is 33 minutes after 8:55 AM?
9:28 AM
How many minutes are there between 5:26 AM and 5:09 PM?
703
What is 453 minutes before 12:25 AM?
4:52 PM
How many minutes are there between 7:50 PM and 4:00 AM?
490
How many minutes are there between 6:32 AM and 10:36 AM?
244
How many minutes are there between 12:08 AM and 11:36 AM?
688
How many minutes are there between 2:41 AM and 2:31 PM?
710
What is 568 minutes before 8:58 AM?
11:30 PM
What is 685 minutes before 12:41 AM?
1:16 PM
What is 244 minutes after 3:22 AM?
7:26 AM
How many minutes are there between 1:33 PM and 5:29 PM?
236
How many minutes are there between 1:32 AM and 7:48 AM?
376
What is 142 minutes after 2:35 PM?
4:57 PM
What is 304 minutes before 6:29 AM?
1:25 AM
What is 191 minutes before 9:19 PM?
6:08 PM
How many minutes are there between 1:18 AM and 1:00 PM?
702
How many minutes are there between 3:49 PM and 3:06 AM?
677
How many minutes are there between 12:27 PM and 12:22 AM?
715
How many minutes are there between 5:23 AM and 12:35 PM?
432
What is 546 minutes before 11:36 PM?
2:30 PM
What is 310 minutes after 10:48 AM?
3:58 PM
How many minutes are there between 1:08 AM and 6:30 AM?
322
What is 315 minutes before 1:45 PM?
8:30 AM
How many minutes are there between 5:23 AM and 8:19 AM?
176
How many minutes are there between 3:54 AM and 11:06 AM?
432
What is 325 minutes after 5:24 AM?
10:49 AM
How many minutes are there between 11:36 AM and 8:26 PM?
530
What is 399 minutes before 12:46 PM?
6:07 AM
How many minutes are there between 8:50 AM and 3:32 PM?
402
How many minutes are there between 12:35 PM and 12:05 AM?
690
What is 117 minutes after 4:01 AM?
5:58 AM
How many minutes are there between 3:37 AM and 8:46 AM?
309
How many minutes are there between 1:14 PM and 6:18 PM?
304
How many minutes are there between 9:28 AM and 4:28 PM?
420
How many minutes are there between 5:07 AM and 5:32 AM?
25
How many minutes are there between 11:46 PM and 8:23 AM?
517
How many minutes are there between 1:28 PM and 11:37 PM?
609
What is 385 minutes before 11:33 PM?
5:08 PM
How many minutes are there between 7:01 AM and 4:34 PM?
573
How many minutes are there between 10:56 AM and 7:33 PM?
517
How many minutes are there between 8:56 PM and 8:29 AM?
693
What is 62 minutes after 1:13 AM?
2:15 AM
What is 320 minutes before 7:53 PM?
2:33 PM
How many minutes are there between 10:26 PM and 1:27 AM?
181
What is 158 minutes after 10:36 AM?
1:14 PM
How many minutes are there between 9:57 AM and 1:53 PM?
236
What is 539 minutes after 7:02 PM?
4:01 AM
How many minutes are there between 4:18 AM and 4:00 PM?
702
What is 359 minutes after 3:35 PM?
9:34 PM
How many minutes are there between 9:02 AM and 4:55 PM?
473
What is 501 minutes before 3:14 AM?
6:53 PM
How many minutes are there between 1:36 PM and 6:59 PM?
323
What is 549 minutes before 10:40 PM?
1:31 PM
How many minutes are there between 3:52 AM and 9:58 AM?
366
What is 260 minutes before 6:53 PM?
2:33 PM
What is 458 minutes before 4:50 PM?
9:12 AM
What is 454 minutes before 10:56 AM?
3:22 AM
What is 270 minutes after 10:18 PM?
2:48 AM
What is 399 minutes after 12:40 PM?
7:19 PM
How many minutes are there between 4:27 AM and 3:06 PM?
639
How many minutes are there between 7:02 PM and 7:42 PM?
40
How many minutes are there between 1:16 AM and 8:02 AM?
406
How many minutes are there between 11:20 AM and 10:57 PM?
697
What is 678 minutes before 3:01 PM?
3:43 AM
What is 145 minutes after 4:26 AM?
6:51 AM
What is 317 minutes before 8:43 PM?
3:26 PM
How many minutes are there between 4:02 PM and 10:15 PM?
373
How many minutes are there between 9:23 PM and 9:12 AM?
709
What is 576 minutes after 3:53 PM?
1:29 AM
How many minutes are there between 5:54 AM and 6:04 AM?
10
How many minutes are there between 9:26 PM and 4:49 AM?
443
What is 277 minutes before 5:03 PM?
12:26 PM
How many minutes are there between 5:50 PM and 12:03 AM?
373
How many minutes are there between 12:09 PM and 11:14 PM?
665
What is 291 minutes before 6:19 AM?
1:28 AM
How many minutes are there between 1:05 AM and 10:53 AM?
588
What is 663 minutes before 1:55 AM?
2:52 PM
What is 583 minutes after 11:45 PM?
9:28 AM
What is 587 minutes after 5:29 PM?
3:16 AM
How many minutes are there between 11:30 AM and 4:23 PM?
293
How many minutes are there between 9:23 PM and 9:22 AM?
719
How many minutes are there between 11:45 AM and 9:37 PM?
592
How many minutes are there between 10:17 AM and 8:27 PM?
610
What is 20 minutes after 5:23 AM?
5:43 AM
How many minutes are there between 7:34 AM and 5:33 PM?
599
How many minutes are there between 1:46 PM and 1:13 AM?
687
How many minutes are there between 5:02 PM and 7:17 PM?
135
What is 599 minutes after 5:16 PM?
3:15 AM
What is 104 minutes before 6:51 AM?
5:07 AM
How many minutes are there between 8:02 AM and 7:02 PM?
660
What is 685 minutes after 8:58 PM?
8:23 AM
How many minutes are there between 1:58 PM and 4:51 PM?
173
How many minutes are there between 8:34 AM and 4:08 PM?
454
How many minutes are there between 2:56 AM and 6:00 AM?
184
What is 652 minutes before 2:53 AM?
4:01 PM
How many minutes are there between 6:27 AM and 7:27 AM?
60
How many minutes are there between 7:53 PM and 3:47 AM?
474
What is 103 minutes after 2:26 PM?
4:09 PM
What is 480 minutes after 5:34 AM?
1:34 PM
What is 665 minutes before 12:28 AM?
1:23 PM
What is 121 minutes before 5:33 PM?
3:32 PM
How many minutes are there between 3:34 AM and 11:46 AM?
492
How many minutes are there between 2:57 PM and 5:00 PM?
123
What is 517 minutes before 5:17 AM?
8:40 PM
How many minutes are there between 11:56 AM and 4:52 PM?
296
What is 286 minutes before 4:08 AM?
11:22 PM
How many minutes are there between 6:38 PM and 6:42 PM?
4
How many minutes are there between 10:13 AM and 3:30 PM?
317
How many minutes are there between 11:50 AM and 9:07 PM?
557
What is 197 minutes before 4:13 AM?
12:56 AM
How many minutes are there between 3:25 AM and 5:35 AM?
130
How many minutes are there between 4:34 PM and 5:37 PM?
63
How many minutes are there between 1:39 PM and 3:47 PM?
128
How many minutes are there between 8:49 PM and 9:27 PM?
38
What is 458 minutes before 2:37 PM?
6:59 AM
How many minutes are there between 2:16 PM and 8:50 PM?
394
How many minutes are there between 10:48 AM and 3:48 PM?
300
How many minutes are there between 6:57 PM and 12:57 AM?
360
How many minutes are there between 2:04 PM and 11:50 PM?
586
What is 472 minutes before 12:42 PM?
4:50 AM
How many minutes are there between 12:33 AM and 9:51 AM?
558
How many minutes are there between 10:22 PM and 2:19 AM?
237
How many minutes are there between 1:25 AM and 5:35 AM?
250
What is 710 minutes before 12:07 AM?
12:17 PM
What is 53 minutes after 9:54 AM?
10:47 AM
How many minutes are there between 12:44 PM and 4:21 PM?
217
What is 360 minutes after 10:34 AM?
4:34 PM
What is 238 minutes before 3:57 PM?
11:59 AM
What | {
"pile_set_name": "DM Mathematics"
} |
0.2 have the same value?
False
Is -39 smaller than -35?
True
Which is greater: 11/9 or 1?
11/9
Which is smaller: -0.09 or -12?
-12
Does -55 = -115?
False
Which is bigger: 369 or 372?
372
Which is bigger: -1180/3 or -393?
-393
Which is bigger: 13 or 96?
96
Is -21.2 at most as big as 2?
True
Which is smaller: -0.1 or 654?
-0.1
Is -2 <= -2/9?
True
Do 1 and -2/7695 have different values?
True
Is 6/17 less than or equal to -1?
False
Do -8 and -225/34 have different values?
True
Is -228 bigger than -230?
True
Which is smaller: -2 or 7/5?
-2
Which is smaller: 4/5117 or 0?
0
Do 3996 and 3995 have the same value?
False
Do 579/7 and 83 have different values?
True
Which is smaller: 7/1198 or -1?
-1
Which is bigger: 5/3516 or 1?
1
Is 105 equal to 99?
False
Which is bigger: 0 or -5/78?
0
Which is bigger: 679 or 680?
680
Are 2088 and 2089 non-equal?
True
Is -387 > -387?
False
Is 33 at least 28?
True
Is -1/2 at most as big as 212/3?
True
Is 2/679 equal to 0?
False
Which is greater: 1 or -2/2419?
1
Which is smaller: 64 or -1/4?
-1/4
Is -3241 <= -3245?
False
Is 1 bigger than 18/193?
True
Which is bigger: 820/51 or 17?
17
Does 89 = 94?
False
Which is smaller: -1 or -10/131?
-1
Is 62 > 66?
False
Which is smaller: 17 or 649?
17
Are 2.9 and 41 non-equal?
True
Is -7 greater than or equal to -75/13?
False
Do 12 and -3/5 have the same value?
False
Which is smaller: -2981 or -5963/2?
-5963/2
Which is smaller: -208/3 or 2/11?
-208/3
Is 0 equal to 0.373?
False
Which is bigger: -5/2728 or 0?
0
Does -242 = -240?
False
Which is bigger: 0.1 or 937?
937
Is -13 > -5?
False
Does 10945 = 10945?
True
Which is smaller: 52/7 or 6?
6
Is -1 <= 1/4905?
True
Which is bigger: -2/8333 or -1?
-2/8333
Which is smaller: 0 or -1/41144?
-1/41144
Which is smaller: 0 or 1/149?
0
Does -2/101 = 9?
False
Is 1 not equal to 14?
True
Do 1/4 and -1275 have the same value?
False
Are 101 and 95 non-equal?
True
Which is bigger: 134 or -31?
134
Which is bigger: -2/213 or 0?
0
Is 121 > 82?
True
Which is smaller: 4/1551 or -1?
-1
Which is bigger: 0.31 or 0?
0.31
Which is smaller: -48 or -803/17?
-48
Which is bigger: 0 or 677?
677
Is 5/5538 greater than or equal to -1?
True
Which is smaller: -2005 or -2004?
-2005
Which is bigger: -1/3 or 1175?
1175
Which is smaller: 224 or 225?
224
Which is bigger: -8 or -13?
-8
Which is smaller: 1927 or -3?
-3
Which is smaller: -16 or -52/3?
-52/3
Which is smaller: -90 or 1?
-90
Which is greater: 327 or -4?
327
Is -208 smaller than -208?
False
Does 0.133 = 19?
False
Is -963 != -962?
True
Is 635 >= -1/3?
True
Is 0.1 equal to 342?
False
Does -0.3 = 188.7?
False
Is -3/979 != -1?
True
Which is bigger: 1/3 or 1/671?
1/3
Are -70 and -69 unequal?
True
Is -14254 >= -14256?
True
Which is smaller: 1/91 or 55?
1/91
Is -2/56613 bigger than -1?
True
Which is greater: 4/2243 or -1?
4/2243
Are -3/2 and -600 non-equal?
True
Which is smaller: -112 or -113?
-113
Which is bigger: 702 or 701?
702
Which is smaller: 447 or 449?
447
Is 3 greater than -6410?
True
Do 1546/37 and 41 have different values?
True
Which is bigger: -883 or 2/3?
2/3
Which is greater: -1 or -50/821?
-50/821
Is -790 less than or equal to -785?
True
Which is smaller: -1 or -1/4519?
-1
Which is smaller: -4077 or -4076?
-4077
Which is smaller: -674/3 or -225?
-225
Are -1/4914 and 0 non-equal?
True
Which is greater: 378 or 379?
379
Which is smaller: 2/25347 or -1?
-1
Does -211/76 = -4?
False
Is -539 < -540?
False
Is -553 >= -550?
False
Is 57 at most as big as 750/13?
True
Does -74 = -1102/15?
False
Which is bigger: 953/8 or 118?
953/8
Which is smaller: 2/22329 or 0?
0
Are 9 and 179 non-equal?
True
Which is smaller: -7 or 1189?
-7
Which is smaller: 61 or -119?
-119
Is -2/9 greater than -2/45?
False
Which is smaller: -1661 or -1662?
-1662
Which is bigger: -474 or -475?
-474
Which is smaller: 269 or 1888/7?
269
Does -0.4 = 43/11?
False
Are -0.0527 and -2 equal?
False
Which is bigger: 0.2 or 502?
502
Is 1 less than 12/577?
False
Is 114 greater than 124?
False
Is -25 at least -24?
False
Is 133/27 greater than 4?
True
Which is smaller: -0.06 or -10?
-10
Are -775 and -775 equal?
True
Are -336 and -448 non-equal?
True
Which is greater: 4/39 or 0.6?
0.6
Is -2 != 210?
True
Is 4092/5 less than or equal to 819?
True
Is -55 equal to -33?
False
Are 1756 and 1 equal?
False
Is -1 != 13/46?
True
Is -45597 smaller than -45597?
False
Do -4/5 and -58 have the same value?
False
Which is greater: -10708 or 2/5?
2/5
Which is smaller: -19 or -13/4?
-19
Which is bigger: -18 or 33?
33
Is 101 at most as big as 132?
True
Which is bigger: -7 or -264/41?
-264/41
Is 0.07216 at least as big as 3?
False
Which is smaller: 644 or 607?
607
Is 89 at least as big as 1435/16?
False
Is 48/11 at most 5?
True
Is -2159 at most as big as -4/5?
True
Is 1839/7 at most -0.1?
False
Are -2 and 49 equal?
False
Which is smaller: -418 or -3349/8?
-3349/8
Are 3/3929 and -1 equal?
False
Which is bigger: 608 or -2/9?
608
Is 138/5 > 29?
False
Which is greater: -1/4034 or -1?
-1/4034
Is -8732 greater than -8732?
False
Is 6 equal to 29/5?
False
Are 0.5299 and -0.3 equal?
False
Which is bigger: -2/281 or 1?
1
Is 5403 < 5405?
True
Is 694 less than or equal to 2086/3?
True
Is -23.88 at most as big as -1?
True
Which is greater: 1729/2 or 866?
866
Which is smaller: 23 or 24?
23
Are 4/7 and -1020 non-equal?
True
Are 3/28040 and -1 nonequal?
True
Which is greater: -4 or -330/109?
-330/109
Which is smaller: 152 or 151?
151
Is -7/1784 less than -1?
False
Which is bigger: 2538/7 or 363?
363
Is -14 less than or equal to -15?
False
Do -3 and 3 have the same value?
False
Is -1284 not equal to -1284?
False
Is 154/23 greater than or equal to 7?
False
Which is smaller: 64 or 138?
64
Which is bigger: 1418 or 1416?
1418
Which is greater: 2351 or 2347?
2351
Is -1966 at most as big as 1/2?
True
Is -134 greater than -137?
True
Is 3331 greater than 3335?
False
Which is greater: 14592 or 14594?
14594
Which is smaller: -5276 or -5275?
-5276
Which is bigger: -248 or -288?
-248
Which is smaller: -102 or -114?
-114
Which is smaller: -41 or -367/9?
-41
Is -420 at most 1?
True
Do 1 and 9/64 have different values?
True
Is 289 at most as big as 291?
True
Is 0 > -4/69?
True
Which is smaller: 18 or 164/5?
18
Is 1 at most -1/11293?
False
Which is smaller: -6 or -1/2?
-6
Is 327 at most 327?
True
Which is smaller: 2565 or 2566?
2565
Which is greater: -32/7 or -6?
-32/7
Which is bigger: 2 or 0.963?
2
Which is smaller: -1.208 or -0.2?
-1.208
Is -2 <= -153?
False
Is -3/19 >= 1?
False
Is -36 bigger than -38?
True
Which is smaller: -7093 or -7091?
-7093
Are 45 and 98 nonequal?
True
Is -348 smaller than -2791/8?
False
Is 64 smaller than 847/13?
True
Which is smaller: 255 or 1/6?
1/6
Is 83 greater than or equal to -0.2?
True
Which is greater: 38 or 35?
38
Which is bigger: -0.2 or -54.3?
-0.2
Is -990 equal to -989?
False
Is 0.1 bigger than 2349?
False
Is 45 greater than 218/5?
True
Are 1234 and 1234 equal?
True
Which is bigger: -1873 or -1875?
-1873
Which is bigger: 1 or 11/162?
1
Is 75 smaller than 89?
True
Which is greater: -887 or -886?
-886
Which is smaller: -1 or 1/1170?
-1
Are 0 and -11/29 unequal?
True
Which is smaller: -493 or -3448/7?
-493
Is 278 > -0.2?
True
Is 169/3 smaller than 55?
False
Which is smaller: -1 or -23/2426?
-1
Is 87 > 87?
False
Is -502 at least as big as -42?
False
Is 112 at least as big as 114?
False
Which is greater: -191 or -0.024?
-0.024
Which is greater: 0 or -48/251?
0
Which is bigger: -205 or -197?
-197
Does 603 = 604?
False
Is -1 at least as big as -5.69?
True
Which is smaller: -8814 or -8812?
-8814
Which is greater: 6 or 3422?
3422
Which is bigger: -0.41 or -2/3?
-0.41
Which is greater: 1 or 4127?
4127
Is 1/30 not equal to -2/11?
True
Is -46947 at most -46947?
True
Which is smaller: 501 or 500?
500
Which is smaller: 103 or 104?
103
Is -1200 less than or equal to 0.04?
True
Is 8/17 at most -1?
False
Which is greater: 4188 or -1?
4188
Which is greater: 21/34 or 7?
7
Is 0 less than 13/309?
True
Which is smaller: 0.045 or 0.0638?
0.045
Which is greater: -398 or -397?
-397
Is -1787 < -1787?
False
Are -1/9 and 11 unequal?
True
Which is greater: 2/5 or 16?
16
Are 1545 and 1546 equal?
False
Which is greater: 510 or 511?
511
Is 114 equal to 115?
False
Which is bigger: 37 or 36?
37
Is -17/524 < -1 | {
"pile_set_name": "DM Mathematics"
} |
h = -44, -c + g = 3*w. Does 13 divide w?
False
Let w be (15 - 10)*(2844/10 + -4). Let v = w + 361. Is 43 a factor of v?
True
Suppose 3*y + 3*c = 1729 + 1430, 3*y - 3191 = 5*c. Suppose -1705 + y = -6*n. Is n a multiple of 9?
True
Let m be (-1)/(2/(-12)*2). Let x be (m - 18/3) + 1 - -1. Is 6 a factor of 28/4 - ((-2)/(-1) + x)?
True
Let i(l) = 90*l**2 - 60*l + 6. Is 27 a factor of i(3)?
False
Let b be (459/18)/17*6. Suppose 6237 = b*n + 18*n. Is 7 a factor of n?
True
Let b be 4708/(-107)*2/(-4). Suppose 0 = 5*p - 223 - 107. Let d = p - b. Is d a multiple of 10?
False
Does 23 divide (4 - 9)/((-21990)/(-7335) - 3)?
False
Suppose 16*o - 10*o - 1056673 = -23*o. Is o a multiple of 27?
False
Suppose 2*s = -2*r + 4448, 0 = 2*r - 3*r - 4*s + 2215. Does 4 divide r?
False
Let g = 128 + -122. Let q be (g/(-15))/(6/(-10))*-3. Does 9 divide ((-12)/18)/(q/750 - 0)?
False
Suppose 56*u = -59*u + u + 1838592. Is u a multiple of 14?
True
Let b(s) = 18*s - 15 - s**2 - 8 - 6 + 6*s. Let p be b(23). Is 1*((-8)/p - 114/(-9)) a multiple of 14?
True
Let g = -204 - -206. Suppose -2*x - 143 = -j, g*j = -2*j - 4*x + 560. Is j a multiple of 47?
True
Suppose 5*f - 4*o + 555 = 4540, 3*o = 2*f - 1594. Suppose p = 1, 7*g - 3*g + 5*p - f = 0. Suppose -5*v - g = -8*v. Is 13 a factor of v?
False
Let l be 4 - (3 - (-2 + 3)). Let v = 32 - 37. Is (2 + (-6 - v))*166/l a multiple of 31?
False
Is ((-1225322)/(-91) - -5) + 12/(-156) a multiple of 18?
False
Does 13 divide (59/(-531))/((-12)/1898532)?
False
Let x be -1*(1 - (5 + -1)). Let l be x/(18/1564) - (-1)/3. Suppose -l = -9*r + 396. Is r a multiple of 13?
False
Let y = -6 - -11. Suppose p = 2*p - y. Suppose -74 = -3*h + p*q + 54, 0 = -3*h + 4*q + 127. Is h a multiple of 22?
False
Let y(i) = 240*i - 605. Let v be y(2). Suppose 0*a - 960 = -4*a. Let f = v + a. Is f a multiple of 31?
False
Suppose 0 = -2*f - z + 2, -4*f - 2 - 2 = 4*z. Suppose -13 + 7 = -f*b. Is (-7)/(2*b/(-96)) a multiple of 12?
True
Let a be 20/(-5) - -3 - -9. Suppose 4*s = 7*s + 6, 2*s = -r - a. Does 42 divide (16 - -68)*((-6)/r + -1)?
True
Let m = -21453 - -9637. Does 30 divide ((-12)/(-21))/(5 + 59064/m)?
False
Let g = -14500 + 21430. Does 34 divide g?
False
Suppose -17*y + 88 = -388. Suppose -4*o = -y*a + 31*a - 4973, -o + 1241 = 3*a. Does 25 divide o?
False
Suppose 0 = -5*s - 0*s + 10. Suppose 1228 = 4*d + s*g, d - 2*g - 226 - 86 = 0. Let t = 506 - d. Does 22 divide t?
True
Let g be -2 + 7 + 2 + -5. Suppose 163 + 5 = g*l. Suppose 225 = 5*c - b, -b - l - 97 = -4*c. Is 3 a factor of c?
False
Let v be (0 + -77)/((-4)/24). Suppose 0 = 9*u + 5*u - v. Does 33 divide u?
True
Suppose 361*d - 8 = 359*d. Suppose 4*y + 2*t - 1614 = 0, t + 1608 = d*y - 3*t. Is y a multiple of 9?
False
Let j(t) be the first derivative of -2*t + 11 - 45/2*t**2. Is 37 a factor of j(-1)?
False
Suppose -n = -2, 20 = -2*y + 4*y + 4*n. Let u(v) = 53*v - 48. Does 7 divide u(y)?
False
Let b be -1 + 4*(-2)/(-4) + 2. Suppose 0 = -n + 5*z + 50, -b*n = -2*z - z - 174. Let m = n - -20. Is m a multiple of 7?
False
Let h(x) = x**3 - x**2 - 24*x + 131. Let p be h(6). Suppose r + p = 865. Does 12 divide r?
False
Let f be ((-8)/12)/((-4)/30). Suppose -f*o + 3*u - 102 = 23, -117 = 4*o + u. Let d = o + 44. Does 4 divide d?
True
Suppose -3*k = -37*b + 35*b - 19832, -12*k - 5*b = -79354. Is k a multiple of 76?
True
Let a(w) = 15*w**3 + w**2 + w. Let m be a(-1). Let b be (-18)/m*75/(-6). Let n(s) = -10*s - 6. Does 8 divide n(b)?
True
Is ((-236)/(-236))/((-1)/(-34168)) a multiple of 17?
False
Let x(q) = 35*q**3 + 12*q**2 + 12*q + 39. Is x(8) a multiple of 18?
False
Let p(s) = 7*s**2 - 5*s + 2. Let z be p(2). Suppose z*h - 2692 = 368. Is 51 a factor of h?
True
Suppose -5*b + 64650 = 5*t, -2*b - 719*t = -722*t - 25890. Does 24 divide b?
True
Let q = 17878 - 12178. Does 15 divide q?
True
Suppose -5*h - 56 - 74 = 0. Let y = 37 - h. Let p = y + -60. Does 3 divide p?
True
Let d(v) = 45*v**2 - 2*v - 131. Let l be d(-7). Let h = -1439 + l. Is h a multiple of 15?
False
Let l(o) = -o**2 + 44*o - 261. Let z be l(37). Is (-2 - (-4596)/9)/(z/(-3)) a multiple of 22?
False
Let w(f) = f**3 - 44*f**2 + 79*f**2 - 8*f - 44*f**2 + 2. Let q = -1 + 11. Is w(q) a multiple of 11?
True
Suppose -85*k + 47*k + 97546 = 0. Does 59 divide k?
False
Suppose -u + 1076 = 2*a, 5*u = -4*a + 2781 + 2581. Does 13 divide u?
False
Let f = -147 - -285. Let d = 141 - f. Suppose -h + 5*t + 140 = 0, -137 - 3 = -h - d*t. Is h a multiple of 8?
False
Is (-135)/675 - 5/(25/(-15106)) a multiple of 14?
False
Suppose -y - 2 = 0, -13*y + 17*y - 1082 = -2*z. Suppose -n - z = -l, -2*n + 1090 = -10*l + 12*l. Is 36 a factor of l?
False
Suppose 236*u + 722304 = 293*u. Is u a multiple of 36?
True
Let n(r) = 3*r**3 - 3*r**2 - 7*r + 19210. Is n(0) a multiple of 25?
False
Suppose -4*m - 8024 = -4*b, 2*m - 9 = -m. Suppose 0 = 19*d - b + 660. Is d a multiple of 4?
False
Suppose -8 = -i - 4, 2*l + i = 580. Let x = l + -108. Is x a multiple of 3?
True
Let g(c) = 27*c**2 + 23*c - 58. Is g(-14) a multiple of 30?
False
Suppose 8 = 4*i, i = 4*l - 4*i + 702. Let u = l - -249. Let q = u - -8. Is q a multiple of 12?
True
Let b(g) = -2*g**3 + 11*g**2 - 7*g + 9. Let t be b(5). Let z be (t - -1) + 382 + (5 - 3). Suppose -9*y = -z - 300. Does 38 divide y?
True
Let s = -51 + 525. Let d = s + -107. Is d a multiple of 10?
False
Let f(q) = 3*q - 102. Let a be f(0). Does 3 divide (a/(-9))/((-2)/(-6))?
False
Let m(c) = 2*c - 11. Let s be m(8). Suppose -33 = s*a - 1473. Let b = a + -112. Does 44 divide b?
True
Let o(m) = -m**2 + 7*m - 12. Let s be o(5). Does 7 divide s/(-15) - 7552/(-60)?
True
Suppose -2*l - 264 = 2*l + 4*p, 0 = 4*l + p + 255. Let w = l - -24. Let n = w - -66. Does 5 divide n?
False
Let m(k) = 630*k**3 - 3*k**2 + 7*k - 4. Suppose -11 = -21*f + 10*f. Does 30 divide m(f)?
True
Suppose 433901 + 753995 = 218*s - 52*s. Does 29 divide s?
False
Let k(i) = 2*i - 10. Let s be k(5). Suppose 2*x + 667 = 5*f, s = -0*f - f + 5. Is 3/((-9)/x) - -1 a multiple of 18?
True
Let s(r) = -674*r**3 - 5*r**2 + 3*r + 1. Let m be s(1). Let p = m + 736. Is 3 a factor of p?
False
Let m(t) = t**3 + 16*t**2 - 3*t - 26. Let i(q) = -8*q + 205. Let g be i(27). Does 15 divide m(g)?
False
Let l = 32 + -82. Let a be ((-120)/l + (-4)/10)*-2. Is (-17)/(-68) + (-119)/a a multiple of 6?
True
Is 12 a factor of (-8 + 28008/(-32))/((-13)/728)?
False
Let f be (4/((-84)/(-7)))/((-2)/(-12)). Suppose -o = -f, -g - 4*o + 65 + 13 = 0. Does 35 divide g?
True
Let j = -37946 - -56326. Is j a multiple of 20?
True
Let m be 28 + (-2 + 6)/(-2). Let l = m - 26. Suppose u + 4*s - 3*s - 22 = 0, -2*s + 10 = l. Is 2 a factor of u?
False
Let w(m) = -237*m + 9. Let b be w(1). Let s = b + 436. Is 16 a factor of s?
True
Suppose 45 = -22*b + 25*b. Let z(q) = q**2 - 16*q + 28. Does 8 divide z(b)?
False
Let d(n) = 2*n**2 - 161*n + 7365. Is 28 a factor of d(126)?
False
Suppose 53 = x + 40. Suppose -14*w + x*w = -992. Does 23 divide w?
False
Suppose -159*j + 115406 + 1550596 = 0. Does 81 divide j?
False
Let f = 187 - 191. Let m(x) = -x**3 - 2*x**2 - 2*x + 2. Is 6 a factor of m(f)?
True
Let m be 30/75 + 23/5. Suppose -m*z + 24 = -1. Is 27 a factor of z/(-15) + (-650)/(-6)?
True
Let j(v) = -v**2 - 8*v - 18. Let o be j(-4). Let y be ((1 + -287)/o)/1 + 1. Suppose -3*w - w = 3*m - y, 3*w = 4*m - 167. Is m a multiple of 22?
True
Let i be (-2)/(-7) - 6/21. Let l be 11 - i/(4 - 7). Suppose -l - 27 = -r. Does 19 divide r?
True
Let o = 208 - 202. Suppose -10*w = o*w - 9984. Is 20 a factor of w?
False
Let t(w) = 95*w**3 + 27*w**2 + w - 19. Is t(5) a multiple of 8?
True
Let j be 12/(-20) - (1 + 188/(-5)). Let n be (16/(-36))/2 - (-224)/j. Let h = 12 + n. Is 3 a factor of h?
True
Let u be 3/6 + 20/8*-5. Let j = 10 - u. Let k = j - -36. Is 29 a factor of k?
True
Let z(h) = -h**2 - 239*h - 3358. Does 10 divide z(-63)?
True
Let m be 261/(-2 + 1) - (-25 + 28). Let p = 198 - m. Is 25 a factor of p?
False
Let u(z) = -15*z - 129. Let s be u(-20). Is (-2)/(-19) + (-3 - (-170127)/s) a multiple of 10?
False
Let h = -9554 + 14823. Is 11 a factor of h?
True
Let p(s) = -2309*s + 609. Is 138 a factor of p(-9)?
True
Let n(c) = c**2 - 9*c + 5. Let f be n(3). Let z(g) = 6*g**2 - 31. Is 19 a factor of z(f)?
False
Let v = 11081 - 4525. Does 149 divide v?
True
Let p(s) = -22*s | {
"pile_set_name": "DM Mathematics"
} |
tive of -d**4/8 - 2*d**3/3 + 4*d**2. Let f(c) = c + 1. Determine q*f(j) + h(j).
j
Let a(q) = q. Let n(l) = 4*l - 7. Let s(r) = 4*a(r) + n(r). Let g(x) = -9*x + 8. Give 5*g(z) + 6*s(z).
3*z - 2
Let k(v) = -2*v - 1. Let s(j) = -2*j - 1 + 3*j + 0 - 2*j. Calculate 3*k(w) - 4*s(w).
-2*w + 1
Let y(v) = 9*v - 11. Let u be (-40)/16*(-1 - 1). Let c = u - 11. Let k(b) = -4*b + 5. Let s(l) = 12*l - 15. Let r(p) = 7*k(p) + 2*s(p). Give c*y(t) - 13*r(t).
-2*t + 1
Let m(q) = -5*q + 2. Let p(v) = -36*v + 15. Let a(n) = -15*m(n) + 2*p(n). Let u(s) be the third derivative of s**4/6 + 4*s**2. Determine -6*a(x) + 4*u(x).
-2*x
Let f(h) = 10 - 15 - 2*h + 4 + 4. Let p(v) = -v + 0*v - 3*v + 5. Determine -7*f(x) + 4*p(x).
-2*x - 1
Let n(g) = -g**3 - g**2 - g. Let b(m) = -m**3 - 4*m**2 - 2*m - 1. Let w(u) = u**2 + 2*u - 3. Let i be w(-3). Suppose -3*a + 3 = -i*a. What is a*b(k) - 2*n(k)?
k**3 - 2*k**2 - 1
Let a(z) = 3*z**3 + 3*z**2 - 3*z. Let h(u) = -u**2 - 5*u - 3. Let o be h(-5). Let d = -5 - 0. Let j(y) = -6*y**3 - 5*y**2 + 5*y. Determine d*a(v) + o*j(v).
3*v**3
Let h(g) = 2*g**2 - 91 + 91 + g**3. Let n(w) = -6*w**3 - 13*w**2. What is -39*h(f) - 6*n(f)?
-3*f**3
Let v(f) = -f**3 + f**2 + f - 1. Let g(k) = -5*k**3 + 6*k**2 - 8*k + 2. Let p(z) = -g(z) - 2*v(z). Let t(y) = -13*y**3 + 15*y**2 - 11*y. Give -11*p(s) - 6*t(s).
s**3 - 2*s**2
Let z(q) = -q**2 + 2. Let f(r) = -12*r**2 + 27. Calculate 2*f(u) - 27*z(u).
3*u**2
Let u(y) = -y + 0*y + 2 + 2. Let b(x) = 3*x - 9. Let w = -21 + 23. What is w*b(d) + 5*u(d)?
d + 2
Let d(a) = -3*a**3 - 5*a - 5. Let c(p) be the third derivative of -p**6/30 - 7*p**4/24 - 7*p**3/6 + 2*p**2. Let r = 18 + -23. Determine r*c(f) + 7*d(f).
-f**3
Let r(b) = -47*b**2 + 4*b. Let f(c) = 48*c**2 - 5*c. Determine 6*f(w) + 7*r(w).
-41*w**2 - 2*w
Let i(z) = -3*z - 5. Let j(p) = p + 1. What is i(h) + 4*j(h)?
h - 1
Let a(q) be the second derivative of -13*q**3/6 - q. Let l(u) be the third derivative of -u**4/8 + 2*u**2 + 21*u. Determine 4*a(t) - 18*l(t).
2*t
Let d(y) = 7*y**3 - 6*y**2. Let z(f) be the third derivative of f**6/20 - f**5/12 + 3*f**2. Calculate 5*d(t) - 6*z(t).
-t**3
Let c(v) = -v**2 - 5*v + 7. Let r(b) = -3*b - 13. Let s(q) = 2*q + 11. Let w(t) = 4*r(t) + 5*s(t). Give -3*c(h) + 7*w(h).
3*h**2 + h
Let n = 8 - 8. Let c(s) be the first derivative of n + 0*s**3 - s**3 + 4*s**2 - 1. Let v(q) = 2*q**2 - 5*q. Calculate -5*c(b) - 8*v(b).
-b**2
Let n(f) = 2*f + 4. Let a(p) = p + 1. Let x = 14 - 7. Suppose m + 1 = x. Let t be -8*(3/m)/(-1). Give t*a(u) - n(u).
2*u
Let x(t) = -13*t**2 + 3*t - 6. Let i(g) = -12*g**2 + 2*g - 5. What is -5*i(s) + 4*x(s)?
8*s**2 + 2*s + 1
Let o(q) = 2*q**2 - 15*q + 11. Let s(v) = -v**2 + 8*v - 6. Give 4*o(g) + 7*s(g).
g**2 - 4*g + 2
Suppose -2*q - 6 = -0*q. Let h(g) be the first derivative of -g**2/2 + g + 3. Let z(a) = -a + 2. Determine q*h(l) + z(l).
2*l - 1
Let f = 6 - 1. Let g(b) = -14*b + 2 - f - 2. Let m(l) = l**2 + 10*l + 16. Let j be m(-7). Let u(r) = 9*r + 3. Give j*g(z) - 8*u(z).
-2*z + 1
Let j(y) be the first derivative of -4*y**2 - 6*y + 166. Let s(o) = 7*o + 7 + 0 - 2. Give 5*j(i) + 6*s(i).
2*i
Let f(k) = -68*k**3 + 4*k**2 - 4*k. Let n(d) = -68*d**3 + 3*d**2 - 3*d. Calculate 3*f(j) - 4*n(j).
68*j**3
Let s(v) = 6*v - 1. Let n(r) = -5*r. Determine 5*n(b) + 4*s(b).
-b - 4
Let d(y) = -165*y**3 + 65*y - 65. Let g(z) = 15*z**3 - 6*z + 6. Calculate 6*d(u) + 65*g(u).
-15*u**3
Let p(d) be the third derivative of d**5/10 + d**4/12 + d**3/2 - 29*d**2. Let h(s) = 7*s**2 + 2*s + 3. Calculate -5*h(u) + 6*p(u).
u**2 + 2*u + 3
Let u(y) = -y + 2. Let x = -62 + 69. Let d(r) = -3*r + 7. Calculate x*u(i) - 2*d(i).
-i
Let n(l) = 7*l**3 - 9*l**2 + 7. Let m(i) = 4*i**3 - 5*i**2 + 4. Determine -5*m(f) + 3*n(f).
f**3 - 2*f**2 + 1
Let q(r) = r - 1. Let s(y) be the third derivative of -y**4/12 + y**3/3 + 5*y**2. What is -3*q(k) - 2*s(k)?
k - 1
Let u(i) = 8*i - 1. Let s(g) = 7*g. Let t(p) = 2*s(p) - 3*u(p). Suppose 0 = 3*o - 5 - 10. Let z(d) = -7*d + 2. Determine o*t(j) - 7*z(j).
-j + 1
Let o(l) = -8*l - 7. Suppose 13 = 5*r + 23. Let y(j) = 3*j + 2. Calculate r*o(t) - 7*y(t).
-5*t
Suppose 5*x = 1 + 4. Let s(n) = n**2 - n + 1. Let m(l) = -l**3 + 4*l**2 - 4*l + 4. What is x*m(f) - 4*s(f)?
-f**3
Let k(j) = -2*j**2 - 5. Let p(c) = -2*c**2 + 0*c**2 - 10 + 4. Let o = -9 + 40. Suppose 0 = 4*d + 7 - o. Determine d*k(m) - 5*p(m).
-2*m**2
Let w(y) = 2 + 2*y - y - 11 + 3*y. Let i = -25 - -21. Let r(f) = -f + 2. Give i*w(q) - 18*r(q).
2*q
Let u(r) = r**2 + 6*r + 1. Let m(i) = i**2 - 1. Calculate -m(y) - u(y).
-2*y**2 - 6*y
Let t(m) = 4. Let k(z) be the second derivative of -z**3/6 + 3*z**2/2 + 6*z. Calculate -4*k(j) + 3*t(j).
4*j
Let v(z) = -63*z**2 - 7*z. Let j(f) = -32*f**2 - 3*f. Determine -7*j(c) + 3*v(c).
35*c**2
Let x(j) be the second derivative of -3*j**5/20 + 5*j**4/12 + 11*j**3/6 + 5*j**2/2 - 16*j. Let y(s) = -s**3 + 2*s**2 + 4*s + 2. Give -4*x(i) + 11*y(i).
i**3 + 2*i**2 + 2
Let z be -2 + -1 + (14 - 1). Let r = z - 8. Let l(d) = 10*d - 6. Let k(s) = 3*s - 2. What is r*l(f) - 7*k(f)?
-f + 2
Let w(o) = -3*o**2 - 5*o - 1. Let c(m) = -3*m**2 - 6*m - 2. Determine 3*c(v) - 4*w(v).
3*v**2 + 2*v - 2
Let r be ((-6)/(-18))/(1/(-3)). Let q(h) = -h. Let m(g) = -3*g - 2. Give r*m(i) + 4*q(i).
-i + 2
Let f = -120 - -115. Let d(k) = 2*k - 3. Let z(t) = 4*t - 7. Give f*d(o) + 2*z(o).
-2*o + 1
Let q be ((-5)/(-4))/(5/20). Let p(v) = -v + 1. Let i(x) = 2*x - 2. Let k(z) = -2*i(z) - 10*p(z). Let d(c) = 5*c - 5. What is q*d(a) - 4*k(a)?
a - 1
Let u(j) = -2*j**2 - 5*j + 5. Let p be (0 + 1 + 0)/((-1)/3). Let o(f) = -f**2 - 3*f + 3. Calculate p*u(s) + 5*o(s).
s**2
Let n(z) = 7*z + 4. Suppose 3*i - 6 + 3 = 0. Suppose 6*h - 20 = h. Let s(r) = -r - 1. Determine h*s(q) + i*n(q).
3*q
Let a(y) = -3*y**3 + 3*y**2 - 3*y - 3. Suppose 0*g - 5*j + 6 = g, 4*j - 4 = 0. Let z(h) = h**2 - h - 1. Determine g*a(r) - 3*z(r).
-3*r**3
Let a(q) = -q**3 - 1. Let p(f) = 13*f**3 + 6*f**2 + 8*f - 2. Let s(i) = -12*i**3 - 5*i**2 - 7*i + 1. Let t(u) = 5*p(u) + 6*s(u). What is -6*a(z) + t(z)?
-z**3 - 2*z + 2
Let a(l) = 9*l**3 - 3*l + 3. Let s(u) = u**3 + 9*u**2 + 5*u - 23. Let h be s(-8). Let w(o) = o**3 - o + 1. What is h*a(k) - 3*w(k)?
6*k**3
Let o(s) = -3*s**2 - 2*s - 19. Let c(r) = -16*r**2 - 11*r - 96. Calculate 4*c(w) - 22*o(w).
2*w**2 + 34
Let h(f) = -17*f**3 + 15*f**2 - 2*f. Let v(l) = 8*l**3 - 7*l**2 + l. Let n(u) = u + 11. Let m be n(-5). Determine m*h(q) + 13*v(q).
2*q**3 - q**2 + q
Let d(p) = 2*p**2 + 5*p + 5. Let v(r) = -3*r**2 - 5*r - 5. Let i(b) = -16*b**2 - 26*b - 26. Let y(t) = -2*i(t) + 11*v(t). Give -3*d(x) - 5*y(x).
-x**2
Let z = -7 + 11. Let k(f) = -5*f - 5. Let d(q) = q + 1. Let p(a) = z*d(a) + k(a). Let o(h) = -2*h**3 - h**2 + 3*h + 1. Calculate o(n) + p(n).
-2*n**3 - n**2 + 2*n
Let n(w) = 2*w - 4. Let d be 4/18 + 94/(-18). Suppose -1 = -p + 6. Let a(q) = -5*q + p*q - 6 + 1. Determine d*n(y) + 4*a(y).
-2*y
Let f(s) = -3. Let y(c) = -10. Let u(t) = -7*f(t) + 2*y(t). Let z(r) = r**2 + 1. Determine 3*u(l) - 3*z(l).
-3*l**2
Suppose 4*x = -x - 15. Let n(r) = r + 1. Let h(t) = 0 + 2*t + 1 + 4. Give x*n(o) + h(o).
-o + 2
Let j(r) = -11*r**3 + 10*r**2 - 9*r - 11. Let d(x) = -5*x**3 + 5*x**2 - 4*x - 5. Determine 9*d(i) - 4*j(i).
-i**3 + 5*i**2 - 1
Let n(u) = 3*u**2 + u + 3. Suppose -3*i - 2 = -2*i. Suppose 0 = -p + 5 + 2. Let x(a) = a**2 + 1. Determine i*n(t) + p*x(t).
t**2 - 2*t + 1
Let h be (4/3)/((-1)/(-12)). Let r = 9 - h. Let b(j) = -8*j + 8. Let s(f) = -7*f + 7. Give r*s(m) + 6*b(m).
m - 1
Suppose -3*n = -4*h - 31, 0 = 2*n + 2*n - 3*h - 32. Let o(u) = -3*u + 3. Let w be (0 + (-8)/10)*5. Let d(m) = -2*m + 2. Determine n*d(r) + w*o(r).
2*r - 2
Suppose -10 = -3*r + b, 10 = 5*r - 3*b - 0*b. Let l(v) = -2*v**2 + 3*v + 2. Let f(u) be the first derivative of -u**3/3 + u**2 + u + 9. Give r*f(o) - 3*l(o).
o**2 + o - 1
Let x(j) = -j**2 - j. Let c = 7 - 2. Suppose c = 5*y + 4*v, 4*y + 28 = 5*v + 73. Let h(i) = 2*i**3 + 5*i**2 + 10 + 5*i - 10. Give y*x(u) + h(u).
2*u**3
Let o(r) = r**3 - r**2 - r - 3. Let s(c) = -c**2 + c - 1. Let f(u) = -o(u) + 2*s(u). Let x(p) = p**2 - 5*p + 2*p**3 - 3 + 0 + 1. Determine -5*f(d) - 3*x(d).
-d**3 + 2*d**2 + 1
Let o(k) be the third derivative of k**3/6 - 12*k**2. Let s(g) = -2*g - 10. What is 30*o(a) + 3*s(a)?
-6*a
Let w(x) = 4*x + 9. Let n(z | {
"pile_set_name": "DM Mathematics"
} |
*u + 52
Let q(o) be the first derivative of 15*o**7/7 - 5*o**6/6 - 2*o**5 - 8*o**3/3 + 9*o**2/2 - 8*o - 4285. Find the third derivative of q(x) wrt x.
1800*x**3 - 300*x**2 - 240*x
What is the second derivative of -4*r + 135 + 167 + 29 + 2406*r**3 - 47 wrt r?
14436*r
Suppose -2*r + 4 = 0, 7 = 5*k - 4*r - 15. Find the third derivative of k*x**6 - 2*x**2 + 2*x**6 + 38*x**6 + 65*x**2 wrt x.
5520*x**3
Let t(c) be the third derivative of -971*c**6/30 - 2947*c**3/3 + 2210*c**2. Differentiate t(i) with respect to i.
-11652*i**2
Find the second derivative of 88*x - 2735 + 10*x**3 - 9*x**2 + 91*x - 180*x wrt x.
60*x - 18
Let w(r) = -r**2 - r - 89. Let l(m) = -3393*m**2 + 6238*m + 267. Let s(f) = l(f) + 3*w(f). What is the second derivative of s(i) wrt i?
-6792
Let q(f) = -60*f**3 - 5614. Let l(r) = 31*r**3 + 2808. Let p(u) = -5*l(u) - 2*q(u). What is the derivative of p(m) wrt m?
-105*m**2
Let b(l) = 86*l**2 + 156. Let x(p) be the third derivative of 43*p**5/60 + 13*p**3 + 2*p**2 + 2. Let g(i) = 2*b(i) - 5*x(i). Differentiate g(m) wrt m.
-86*m
Suppose -l + 9 = -2*g, -4*g = g - l + 18. Let p be g/(12/16) - -6. What is the third derivative of 2*r**2 + p*r**3 + 15*r**2 - 38*r**3 wrt r?
-216
Let q(m) = -566*m**5 + 2*m**3 - 15*m + 70. Let u(w) = 1134*w**5 - 3*w**3 + 32*w - 140. Let h(p) = -7*q(p) - 4*u(p). Find the second derivative of h(i) wrt i.
-11480*i**3 - 12*i
What is the first derivative of 24 - 229 - 6*v**3 + 5*v**3 - 237 - 202*v**4 - 779 wrt v?
-808*v**3 - 3*v**2
Let m(d) = 29*d**2 + d. Let y(k) = 9469*k**2 - 1351*k + 1. Let x(v) = -2*m(v) + y(v). What is the second derivative of x(j) wrt j?
18822
What is the second derivative of 2*y**3 + 57*y**4 + 4144*y + 42 - 79 + 37 - 2*y**5 - 4*y**3 wrt y?
-40*y**3 + 684*y**2 - 12*y
What is the second derivative of -446*f - 27*f**3 + 108*f**3 + 375*f**3 wrt f?
2736*f
Let v(k) be the second derivative of -409*k**3/2 - 227*k**2/2 - 1389*k. What is the first derivative of v(z) wrt z?
-1227
What is the third derivative of 6*o + 18093*o**4 - 4*o - 18525*o**4 - 534*o**2 + 43*o**2 wrt o?
-10368*o
Let w(m) = -12115*m**2 + 6834*m + 2. Let v(z) = 12113*z**2 - 6836*z - 3. Let y(c) = -2*v(c) - 3*w(c). What is the second derivative of y(h) wrt h?
24238
Let z(u) = 65*u**2 + 5*u + 145. Let o(n) = 64*n**2 + 5*n + 145. Let w(c) = 9*o(c) - 8*z(c). Find the second derivative of w(k) wrt k.
112
Let x(p) be the first derivative of 171*p**4/4 - 3*p**2 - 113*p - 44. What is the second derivative of x(u) wrt u?
1026*u
Let j(p) = -p**3 + p**2 - 3*p - 4. Let x be j(-2). Let u = 25 - 23. Find the second derivative of x*m - 10*m**u + 4*m**2 + m**2 wrt m.
-10
Let o(n) be the third derivative of -17/2*n**3 - 1/12*n**5 + 0 + 33*n**2 - 2*n + 1/40*n**6 + 0*n**4. Find the first derivative of o(b) wrt b.
9*b**2 - 10*b
Find the second derivative of 9*a**2 + 4 + 217*a**2 - a**3 - 4 - 17*a**2 - 400*a wrt a.
-6*a + 418
Let b(u) be the first derivative of 466*u**6/3 + 607*u**2 - 306. Find the second derivative of b(h) wrt h.
18640*h**3
Suppose 0 = b + 2*p - 141, p - 44 + 191 = b. Let v be (b/(-58))/(1*(-1)/2). What is the second derivative of -2*z**v + 4*z - 17*z + 6*z wrt z?
-40*z**3
Let m(v) be the first derivative of -353*v**6/2 - 175*v**3/3 + 3*v + 848. Find the third derivative of m(q) wrt q.
-63540*q**2
Let i(j) = j**2 + 17*j + 18. Let g be i(-12). Let d be -14*(-4)/g*-15. What is the first derivative of -7 + 28*h**3 + 1 - d*h**3 wrt h?
24*h**2
Let k(w) = -7337*w + 260. Let f(b) = 13*b - 1. Let c(t) = 2*f(t) - k(t). What is the first derivative of c(h) wrt h?
7363
Find the second derivative of -481*f**5 - 36015*f**2 + 36015*f**2 + 2*f**4 - 980*f wrt f.
-9620*f**3 + 24*f**2
Find the second derivative of -1066*h**3 + 622*h + 1106*h + 17*h - 65*h - 2340*h**3 wrt h.
-20436*h
Let y(f) = -329*f**3 - f**2 - 4216*f + 3. Let r(j) = -329*j**3 - 4214*j + 2. Let a(t) = -3*r(t) + 2*y(t). Find the second derivative of a(m) wrt m.
1974*m - 4
Let u(t) = -1415*t**2 - 5*t + 289. Let i(m) = -4245*m**2 - 17*m + 865. Let k(n) = -2*i(n) + 7*u(n). Find the second derivative of k(w) wrt w.
-2830
Let s(c) be the third derivative of 0*c**5 - 11/120*c**6 - 1/30*c**7 + 0*c**3 + 0 + 145*c**2 + 0*c + 49/12*c**4. Find the second derivative of s(n) wrt n.
-84*n**2 - 66*n
Let j(c) be the second derivative of -3*c**5/20 - 113*c**4/4 + 203*c**3/6 - 11*c**2/2 + 596*c + 2. What is the second derivative of j(t) wrt t?
-18*t - 678
Let y(i) = -2*i**2 + 40*i - 33. Let o be y(19). Find the third derivative of -11*a**3 - 72*a**o - 31 + 5*a**2 + 31 - 86*a - 4*a**2 + 10*a**3 wrt a.
-4320*a**2 - 6
Let a(d) be the third derivative of -1297*d**8/56 - 563*d**5/60 - d**4/4 - 26*d**2 - 13*d + 2. Find the third derivative of a(y) wrt y.
-466920*y**2
Suppose 0 = -0*k + k - 3. Suppose 7 = 3*y - 2. Find the second derivative of m + 0*m + y*m**k + 3*m + 0*m wrt m.
18*m
Find the third derivative of 5425*i**2 + 1493*i**4 - 21*i**2 + 2788*i**2 wrt i.
35832*i
Let l(p) = 15*p - 582. Let s be l(39). Let a(f) be the second derivative of 0*f**2 - 5/12*f**4 + 0 - f + f**s. What is the second derivative of a(r) wrt r?
-10
Let i(w) be the third derivative of 5/24*w**4 + 102*w**2 + 0*w + 2 + 41/3*w**3 + 0*w**5 + 1/40*w**6. What is the derivative of i(h) wrt h?
9*h**2 + 5
What is the derivative of -1592 + 62*u**3 - 9*u - 2*u**3 - 11*u**3 + 17*u**3 wrt u?
198*u**2 - 9
Let o = -237 - -241. Let s(g) = -g**3 + g + 27. Let l be s(0). What is the second derivative of -5*d**4 - 14*d**o + 0*d + l*d + d**4 wrt d?
-216*d**2
Suppose -6*b - 2*b + 32 = 0. What is the third derivative of -11*w**4 + 24*w**4 + 0*w**5 - 15*w**b + 53*w**2 - 2*w**5 wrt w?
-120*w**2 - 48*w
What is the first derivative of -2*i**4 - i + 569*i**2 + 1971 + 1415 + 1244 + 0*i wrt i?
-8*i**3 + 1138*i - 1
Let h = -50 - -54. Let z be h*((-8)/(-12))/(8/6). What is the first derivative of 6 + 1 + 8 - z - 4*q wrt q?
-4
Let i(r) be the second derivative of -151*r**3/3 - 1671*r**2/2 - 302*r + 1. Differentiate i(b) wrt b.
-302
Let o(a) be the first derivative of 23*a**4/4 + 4*a**3/3 + 44*a + 34. Let m(q) be the first derivative of o(q). Find the second derivative of m(j) wrt j.
138
What is the third derivative of -4*j - 9561*j**6 - 1 + 2*j - 1170*j**2 + 2*j + 4290*j**6 wrt j?
-632520*j**3
Suppose 0 = 4*x + 34 - 42. What is the third derivative of 102*w**x - 18*w**5 + 20024*w + 3*w**3 - 20024*w wrt w?
-1080*w**2 + 18
Let n(v) = 4*v**2 - 2*v + 3. Let m(a) = -30*a**2 + 1086*a - 65. Let u(j) = -m(j) - 8*n(j). Differentiate u(z) with respect to z.
-4*z - 1070
Suppose 4 = 151*b - 150*b. What is the third derivative of 6*h**4 - 2*h**b + 19*h**2 - 4*h**4 - 170*h**5 - 87*h**5 wrt h?
-15420*h**2
Find the second derivative of 156*l**2 + 103*l**3 - 57*l**3 - 45*l**3 - 554*l**2 - 1137*l wrt l.
6*l - 796
Let t(l) = 5 - 34 + 10 + 10 - 6*l. Let c be t(-10). Find the second derivative of -c*o**2 + 53*o**2 + 25*o - 6*o wrt o.
4
Let u(l) be the first derivative of -115*l**6/3 + 5*l**4/4 - l**3 + 2*l**2 + 6*l - 94. Find the third derivative of u(c) wrt c.
-13800*c**2 + 30
Find the second derivative of -4 + 4 - 595*s**4 + 1005*s + 595*s**4 - 698*s**5 wrt s.
-13960*s**3
Let v(r) = -6*r - 40. Let x be v(-7). Find the second derivative of -31*d**3 - 15*d**2 + 33*d + 20*d**x + 33*d**3 - 54*d**2 - 2 wrt d.
12*d - 98
Suppose 0 = 4*a + 5*g - 8, 4*g + 30 = 2*a - 0*g. Suppose 9*k = -a*k + 32. Find the second derivative of 125*u**2 - 125*u**k - 22*u**4 + 7*u + 20*u wrt u.
-264*u**2
Let a(l) = 15*l**2 - 875*l + 193. Let t(r) = -4*r**2 + 292*r - 64. Let h(q) = -2*a(q) - 7*t(q). What is the derivative of h(x) wrt x?
-4*x - 294
Let o(m) be the second derivative of -m**7/42 - m**6/30 - 4*m**4 + 277*m**3 + 3174*m. What is the second derivative of o(j) wrt j?
-20*j**3 - 12*j**2 - 96
Let x(v) be the second derivative of -23*v**6/2 + 204*v**2 + 1208*v. Differentiate x(f) wrt f.
-1380*f**3
Suppose 0 = -2*i + 14 - 8. What is the third derivative of 10*g**2 - 99*g**2 + 2*g**4 - 8*g**3 - 82*g**i - 23*g**2 wrt g?
48*g - 540
Let x(w) = -2*w**3 - w**2 - 2*w - 1. Let o(h) = -202*h**3 + 5*h**2 - 3870*h + 14. Let p(v) = -o(v) - 14*x(v). What is the second derivative of p(f) wrt f?
1380*f + 18
Let w(z) = -1021*z**4 + 8*z**2 + 131*z - 3. Let t(h) = 1021*h**4 - 6*h**2 - 133*h + 3. Let x(y) = 4*t(y) + 3*w(y). F | {
"pile_set_name": "DM Mathematics"
} |
-187, -219, -273, -355, -471?
-j**3 + j**2 - 2*j - 163
What is the q'th term of 21, 31, 41, 51, 61, 71?
10*q + 11
What is the q'th term of -432, -433, -434, -435, -436, -437?
-q - 431
What is the d'th term of -9, -22, -33, -42, -49?
d**2 - 16*d + 6
What is the p'th term of 12, 30, 62, 108, 168, 242, 330?
7*p**2 - 3*p + 8
What is the m'th term of 387, 380, 371, 360, 347, 332?
-m**2 - 4*m + 392
What is the p'th term of 193, 387, 581?
194*p - 1
What is the o'th term of -224, -446, -668?
-222*o - 2
What is the y'th term of -92, -185, -272, -353, -428?
3*y**2 - 102*y + 7
What is the t'th term of 127, 119, 111?
-8*t + 135
What is the t'th term of -93, -109, -139, -189, -265, -373, -519?
-t**3 - t**2 - 6*t - 85
What is the g'th term of -119, -235, -351, -467?
-116*g - 3
What is the y'th term of -520, -1039, -1560, -2083, -2608, -3135, -3664?
-y**2 - 516*y - 3
What is the u'th term of -185, -384, -581, -776, -969?
u**2 - 202*u + 16
What is the t'th term of 207, 205, 203?
-2*t + 209
What is the u'th term of 6, -2, -38, -114, -242?
-2*u**3 - 2*u**2 + 12*u - 2
What is the d'th term of 86, 141, 196?
55*d + 31
What is the x'th term of -11, -8, -3, 4, 13?
x**2 - 12
What is the w'th term of -384, -377, -358, -321, -260, -169?
w**3 - 385
What is the f'th term of 19, 24, 17, -8, -57?
-f**3 + 12*f + 8
What is the b'th term of 414, 1627, 3642, 6453, 10054, 14439, 19602, 25537?
-b**3 + 407*b**2 - b + 9
What is the i'th term of -55, -117, -181, -247?
-i**2 - 59*i + 5
What is the u'th term of -67, -90, -105, -106, -87, -42?
u**3 - 2*u**2 - 24*u - 42
What is the n'th term of -94, 151, 382, 593, 778, 931?
-n**3 - n**2 + 255*n - 347
What is the n'th term of -267, -271, -279, -291, -307, -327, -351?
-2*n**2 + 2*n - 267
What is the t'th term of 256, 511, 766?
255*t + 1
What is the c'th term of 601, 2373, 5325, 9457, 14769, 21261?
590*c**2 + 2*c + 9
What is the m'th term of 82, 73, 64, 55, 46, 37?
-9*m + 91
What is the y'th term of -78, -146, -198, -228, -230, -198?
y**3 + 2*y**2 - 81*y
What is the q'th term of 0, 9, 26, 51?
4*q**2 - 3*q - 1
What is the s'th term of -1711, -1715, -1719?
-4*s - 1707
What is the u'th term of -55, -65, -81, -103?
-3*u**2 - u - 51
What is the s'th term of -817, -818, -821, -826, -833, -842?
-s**2 + 2*s - 818
What is the l'th term of -20, -27, -48, -83?
-7*l**2 + 14*l - 27
What is the g'th term of -2143, -2141, -2139, -2137, -2135?
2*g - 2145
What is the s'th term of -882, -883, -884?
-s - 881
What is the n'th term of 6622, 6626, 6632, 6640?
n**2 + n + 6620
What is the i'th term of 125, 256, 393, 536?
3*i**2 + 122*i
What is the u'th term of -44, -81, -114, -143?
2*u**2 - 43*u - 3
What is the s'th term of -615, -620, -637, -672, -731, -820, -945?
-s**3 + 2*s - 616
What is the t'th term of 160, 180, 200?
20*t + 140
What is the a'th term of -29, -84, -165, -272, -405?
-13*a**2 - 16*a
What is the z'th term of 412, 690, 980, 1288, 1620, 1982, 2380?
z**3 + 271*z + 140
What is the o'th term of 167, 331, 495, 659, 823, 987?
164*o + 3
What is the g'th term of -187, -728, -1633, -2908, -4559, -6592, -9013, -11828?
-g**3 - 176*g**2 - 6*g - 4
What is the c'th term of -78, -81, -90, -105, -126, -153?
-3*c**2 + 6*c - 81
What is the k'th term of 110, 109, 108, 107, 106?
-k + 111
What is the y'th term of -16, -41, -80, -133, -200, -281?
-7*y**2 - 4*y - 5
What is the y'th term of 239, 218, 197, 176?
-21*y + 260
What is the d'th term of -5, -56, -201, -488, -965, -1680?
-8*d**3 + d**2 + 2*d
What is the n'th term of 927, 922, 907, 876, 823?
-n**3 + n**2 - n + 928
What is the z'th term of 52, 106, 160, 214, 268, 322?
54*z - 2
What is the q'th term of -201, -209, -227, -261, -317, -401?
-q**3 + q**2 - 4*q - 197
What is the u'th term of 67, 147, 227?
80*u - 13
What is the g'th term of -395, -403, -415, -431, -451, -475?
-2*g**2 - 2*g - 391
What is the v'th term of 18, 51, 108, 195, 318, 483, 696, 963?
v**3 + 6*v**2 + 8*v + 3
What is the b'th term of -1474, -2946, -4418, -5890, -7362?
-1472*b - 2
What is the t'th term of 51, 46, 29, -6, -65, -154, -279?
-t**3 + 2*t + 50
What is the i'th term of 76, 70, 58, 34, -8, -74, -170, -302?
-i**3 + 3*i**2 - 8*i + 82
What is the b'th term of 169, 174, 183, 196?
2*b**2 - b + 168
What is the a'th term of 19217, 19219, 19223, 19229?
a**2 - a + 19217
What is the f'th term of 39, 35, 29, 21, 11, -1?
-f**2 - f + 41
What is the w'th term of 1, -2, -5, -8?
-3*w + 4
What is the r'th term of 3570, 7139, 10708?
3569*r + 1
What is the z'th term of -5, -57, -139, -251, -393, -565, -767?
-15*z**2 - 7*z + 17
What is the b'th term of 177, 184, 207, 252, 325, 432, 579?
b**3 + 2*b**2 - 6*b + 180
What is the b'th term of -106, -214, -322?
-108*b + 2
What is the r'th term of -125, -248, -371, -494?
-123*r - 2
What is the m'th term of -49, -79, -137, -229, -361, -539, -769?
-m**3 - 8*m**2 + m - 41
What is the j'th term of 730, 1451, 2170, 2887?
-j**2 + 724*j + 7
What is the y'th term of -114, -118, -122?
-4*y - 110
What is the l'th term of -60, -64, -66, -66, -64, -60, -54?
l**2 - 7*l - 54
What is the o'th term of -13682, -27364, -41048, -54734, -68422, -82112, -95804?
-o**2 - 13679*o - 2
What is the w'th term of -33, -56, -115, -228, -413?
-3*w**3 - 2*w - 28
What is the s'th term of 248, 493, 738, 983, 1228?
245*s + 3
What is the u'th term of 66, 121, 164, 189, 190?
-u**3 + 62*u + 5
What is the j'th term of 1, 63, 165, 307, 489?
20*j**2 + 2*j - 21
What is the q'th term of -3527, -3523, -3507, -3473, -3415, -3327, -3203, -3037?
q**3 - 3*q - 3525
What is the v'th term of -126, -192, -292, -420, -570, -736, -912?
v**3 - 23*v**2 - 4*v - 100
What is the q'th term of 4, 0, -6, -14, -24?
-q**2 - q + 6
What is the l'th term of -7, -7, -23, -61, -127, -227, -367, -553?
-l**3 - 2*l**2 + 13*l - 17
What is the b'th term of -76, -613, -2080, -4945, -9676?
-78*b**3 + 3*b**2 - 1
What is the s'th term of 14, 22, 38, 74, 142, 254, 422, 658?
2*s**3 - 8*s**2 + 18*s + 2
What is the y'th term of -399, -1617, -3649, -6495?
-407*y**2 + 3*y + 5
What is the f'th term of -50, -66, -84, -104, -126, -150?
-f**2 - 13*f - 36
What is the n'th term of 19, 49, 91, 151, 235, 349, 499, 691?
n**3 + 23*n - 5
What is the c'th term of -66, -71, -86, -117, -170?
-c**3 + c**2 - c - 65
What is the u'th term of 803, 1624, 2447, 3272, 4099?
u**2 + 818*u - 16
What is the q'th term of -27, 60, 149, 240, 333, 428?
q**2 + 84*q - 112
What is the u'th term of 27, 63, 125, 225, 375?
2*u**3 + u**2 + 19*u + 5
What is the q'th term of 31, 61, 91, 121?
30*q + 1
What is the b'th term of -123, -257, -403, -567, -755, -973, -1227?
-b**3 - 127*b + 5
What is the n'th term of -1599, -3198, -4797, -6396, -7995, -9594?
-1599*n
What is the j'th term of 1293, 2577, 3859, 5139, 6417, 7693, 8967?
-j**2 + 1287*j + 7
What is the y'th term of -54, -54, -52, -48, -42, -34?
y**2 - 3*y - 52
What is the w'th term of 53, 82, 125, 182, 253, 338, 437?
7*w**2 + 8*w + 38
What is the r'th term of -37, -70, -99, -124, -145, -162?
2*r**2 - 39*r
What is the g'th term of 7, 10, 11, 10?
-g**2 + 6*g + 2
What is the x'th term of 59, 83, 107?
24*x + 35
What is the z'th term of 58061, 58062, 58063, 58064?
z + 58060
What is the i'th term of -245, -235, -209, -161, -85, 25, 175?
i**3 + 2*i**2 - 3*i - 245
What is the o'th term of 21, 29, 35, 39, 41?
-o**2 + 11*o + 11
What is the v'th term of -338, -344, -350?
-6*v - 332
What is the y'th term of 80, 198, 324, 464, 624, 810, 1028?
y**3 - 2*y**2 + 117*y - 36
What is the b'th term of -224, -226, -228?
-2*b - 222
What is the i'th term of 14, 69, 168, 311, 498, 729, 1004?
22*i**2 - 11*i + 3
What is the t'th term of 5, 15, 49, 119, 237?
2*t**3 - 4*t + 7
What is the q'th term of 17, 9, -3, -19, -39, -63?
-2*q**2 - 2*q + 21
What is the q'th term of -150, -143, -136, -129, -122, -115?
7*q - 157
What is the r'th term of 85, 136, 201, 286, 397, 540, 721, 946?
r**3 + r**2 + 41*r + 42
What is the l'th term of 834, 1663, 2486, 3303?
-3*l**2 + 838*l - 1
What is the c'th term of -2989, -5976, -8963, -11950?
-2987*c - 2
What is the l'th term of -168, -184, -216, -270, -352?
-l**3 - 2*l**2 - 3*l - 162
What is the z'th term of 564, 1119, 1674, 2229?
555*z + 9
What is the z'th term of -30, -108, -320, -732, -1410, -2420, -3828, -5700?
-11*z**3 - z**2 + 2*z - 20
What is the a'th term of -41, -58, -91, | {
"pile_set_name": "DM Mathematics"
} |
m**4*t + m**4 - 34*m**3 - 162310*m**2*t wrt m.
26472*m*t + 24*m - 204
Find the third derivative of 453112*w**3 + w**2 - 15*w + 157.
2718672
What is the third derivative of -134303*r**3 - 5*r**2 - 16*r - 8 wrt r?
-805818
What is the derivative of -2*j**2*k**3 - 2653*j*k**3 - 149*k**3 + 4*k + 2 wrt j?
-4*j*k**3 - 2653*k**3
What is the second derivative of -64016*j**5 - j**3 - 36245*j + 2?
-1280320*j**3 - 6*j
What is the second derivative of -139491*l*u**2 - l*u - 2*l - 116*u + 81 wrt u?
-278982*l
Find the second derivative of v**4 - 355*v**3 + 5*v**2 - 3680*v + 5.
12*v**2 - 2130*v + 10
Find the third derivative of a**6 - 22028*a**4 + 3171*a**2 + 1.
120*a**3 - 528672*a
What is the second derivative of -4*n**2*q**3 - 22*n**2*q**2 + 140*n**2*q + 3*n*q**3 + 36*n*q**2 - 57*q**2 wrt n?
-8*q**3 - 44*q**2 + 280*q
Find the third derivative of -2*b**3*z**4 + 374*b**3*z**2 - 6*b**3 - 18040*b**2*z**4 + 5*b*z**2 + z wrt z.
-48*b**3*z - 432960*b**2*z
What is the first derivative of 9*p**4 - p**3 + 6*p - 13429 wrt p?
36*p**3 - 3*p**2 + 6
What is the second derivative of -4*a**2*s**2*x + 69166*a**2*s*x**3 + 2*a*s**2*x**3 + a*s**2 - 33*a*s + 3*s**2*x**3 - 11*x wrt a?
-8*s**2*x + 138332*s*x**3
What is the derivative of -1458*n**3 - 10*n**2 - 7*n - 1376460?
-4374*n**2 - 20*n - 7
What is the third derivative of -34*a**5 + 36*a**3 - 37465*a**2 wrt a?
-2040*a**2 + 216
What is the second derivative of 2320999*t**3 - 194832*t?
13925994*t
What is the second derivative of 10*d**3*g**2 - 3*d**3*g + 3454*d**2*g + 1248*g**4 wrt g?
20*d**3 + 14976*g**2
Find the third derivative of -62138*z**3 + 10901*z**2 - 5 wrt z.
-372828
Find the second derivative of -24701*g**2 + 9874*g.
-49402
What is the second derivative of -g**3*t*u + 2*g**3*t + g**3*u**2 + 7*g**3*u - 465*g**2*t*u**2 + 592*g**2*t - 466*g*t*u**2 + g*u wrt u?
2*g**3 - 930*g**2*t - 932*g*t
Find the second derivative of 116*b**2*t**2 + 11825*b**2*t - 1922*b*t**2 - 4*b wrt t.
232*b**2 - 3844*b
Find the third derivative of d**3*u**3 + 109*d**3*u - 2*d**3 + 13949*d**2*u**3 + 3*d**2 wrt d.
6*u**3 + 654*u - 12
Find the first derivative of -2*h**2*i - 103441*h**2 + 8452*h*i wrt i.
-2*h**2 + 8452*h
What is the derivative of -1001*l**4*q - 23*l*q**2 - 20*q**2 + 162*q wrt l?
-4004*l**3*q - 23*q**2
What is the derivative of -26458*r**2 - 161070 wrt r?
-52916*r
Find the second derivative of -1252740*r**3 - 2740176*r.
-7516440*r
Find the second derivative of -f**4 - 34871*f**3*t - 3*f**2*t + 80*f*t - 17888*t wrt f.
-12*f**2 - 209226*f*t - 6*t
What is the first derivative of 4*b**2*t + b**2 - 2*b + 1172*t + 242 wrt t?
4*b**2 + 1172
Differentiate -5610*h*o*z**3 + 19*h*o*z + 6*o*z**3 + 60926*o*z with respect to h.
-5610*o*z**3 + 19*o*z
Find the second derivative of -36873*z**4 + 618135*z.
-442476*z**2
What is the second derivative of 9982*n**2*u**3 - 2*n**2*u**2 + 17*n**2*u - 5686*n*u wrt u?
59892*n**2*u - 4*n**2
Find the third derivative of -6*o**3*u**3 - 10037*o**3*u**2 + 2*o**2*u**3 + 2*o**2 - 52*u**2 + 726*u wrt o.
-36*u**3 - 60222*u**2
Find the third derivative of 521*b**4*o - 14*b**4 - b**3 + 2*b**2*o - b**2 + 1815 wrt b.
12504*b*o - 336*b - 6
What is the first derivative of k**4 + 50*k**2 - 963*k + 54794 wrt k?
4*k**3 + 100*k - 963
What is the third derivative of 3*m**6 - 691*m**4 - 2*m**3 - 584*m**2 - 27?
360*m**3 - 16584*m - 12
Find the first derivative of 3327*r**3*u + 4*r**3 + 22*r**2 + 7*r - 2*u wrt u.
3327*r**3 - 2
Differentiate -g*v**2 - 696369*g + 257*v**4 - 93*v**3 wrt v.
-2*g*v + 1028*v**3 - 279*v**2
Find the third derivative of 978599*k**3 - 32*k**2 + 15216*k wrt k.
5871594
What is the third derivative of 284470*i**6 + 6*i**2 + i - 41866 wrt i?
34136400*i**3
What is the second derivative of -178*i**3*j**2*v + 4*i**3*s*v + i*j**2*s - 3*i*j*s**2*v + 3*i*j*s**2 - j**2*s**2*v - 229*j*s**2 + 2*j wrt j?
-356*i**3*v + 2*i*s - 2*s**2*v
What is the derivative of 30068*w - 2645?
30068
Differentiate -255510*n**2 + 2*n + 923971 wrt n.
-511020*n + 2
What is the first derivative of -2*a**3 - 138*a**2 - 309*a + 93811?
-6*a**2 - 276*a - 309
Find the third derivative of -561*b**2*w**3 + 1898*b**2*w**2 - 4*b**2*w - 9*b*w**4 - 2*b*w - 3*b - 12*w**4 wrt w.
-3366*b**2 - 216*b*w - 288*w
Find the second derivative of 3*b*c*l*t**2 - 2*b*c*l - 2036*b*c*t**2 - 2*b*c + 2*b*l*t**2 - 582*b*l*t - b*l + 2*c*l + 3*l*t wrt t.
6*b*c*l - 4072*b*c + 4*b*l
What is the first derivative of 133485*k**3 + k**2 + 2*k - 775726 wrt k?
400455*k**2 + 2*k + 2
What is the derivative of -32941*g - 14850 wrt g?
-32941
Differentiate -m**2*t - 284640*m**2 - 23*m*t**2 - 1199*m*t with respect to t.
-m**2 - 46*m*t - 1199*m
What is the second derivative of 10*w**3*x**2 + 52*w**3*x - 720*w**3 + 2*w*x**2 + w*x - 10102*x**2 wrt x?
20*w**3 + 4*w - 20204
Find the first derivative of 5*c**3*k + 3*c**3 + 18*c**2*k**2 - 6*c**2*k - 167*c - 14 wrt k.
5*c**3 + 36*c**2*k - 6*c**2
Differentiate 2*f**2*s**2 + 509577*f*s**3 + 2*f + s**3 + 53480*s**2 + 1 with respect to f.
4*f*s**2 + 509577*s**3 + 2
Find the second derivative of -217*j**2*o**2 - 14*j**2*o - 46*j*o**2 + 145*j*o + 2*j wrt o.
-434*j**2 - 92*j
What is the first derivative of -13*j**2 + 1246*j + 59349 wrt j?
-26*j + 1246
Find the third derivative of -324*r**2*u**4 - r**2*u - 284*r*u**4 - 18144*u**2 wrt u.
-7776*r**2*u - 6816*r*u
Find the second derivative of 978400*l**4 + 4366*l + 62 wrt l.
11740800*l**2
Differentiate 1657773*i*p**2 - 2*p**2 + 3*p + 1542 with respect to i.
1657773*p**2
What is the derivative of 241916*j - 177039 wrt j?
241916
Differentiate 1035*c**3*k*s**3 + 2*c**3*s + 69*c**2*s**3 + 57*c**2 + 306*c*k*s**3 - c*s**2 + 34*s**3 wrt k.
1035*c**3*s**3 + 306*c*s**3
Differentiate -185434*s**3*t**2 + 5*s**3*t + 21*s**3 + 86*s**2 - 27*s wrt t.
-370868*s**3*t + 5*s**3
Differentiate -1497*j + 49643 wrt j.
-1497
Find the second derivative of 1892*o**4 - 6*o**3 + 2*o**2 + o + 42381 wrt o.
22704*o**2 - 36*o + 4
Find the third derivative of -3*a**6 - 8*a**5 + 1105*a**3 - 10*a**2 + 19802.
-360*a**3 - 480*a**2 + 6630
Differentiate 8644*o*x**2*y - 3*o*x**2 - 3*o - x**2*y + 2007*y wrt x.
17288*o*x*y - 6*o*x - 2*x*y
What is the derivative of 203*h**2*x**2 - 14*h**2*x - 6*h - 643833*x**2 wrt h?
406*h*x**2 - 28*h*x - 6
What is the second derivative of -1105*w**5 + 5*w**3 + 41*w**2 + 19177*w + 12?
-22100*w**3 + 30*w + 82
What is the third derivative of 392506*m**3*o + 5*m**2*o + 3*m**2 + 766*m*o + 3*o wrt m?
2355036*o
Find the second derivative of 9104*a**4*o**2 - 205*a**2*o**2 + 2*a*o**2 - 11*a*o + 6*o**2 - o + 101 wrt a.
109248*a**2*o**2 - 410*o**2
Differentiate -23*o**4 + 19962*o**2 - 879383 with respect to o.
-92*o**3 + 39924*o
Differentiate 7*c**2*u - 43*c**2*v - 8*c*u*v - c + 61*u*v + 8*u + v with respect to c.
14*c*u - 86*c*v - 8*u*v - 1
Differentiate -35*n**2*q + 5*n**2 - n*q - 21*n - 30261*q wrt n.
-70*n*q + 10*n - q - 21
Find the first derivative of -292447*l - 139368.
-292447
Differentiate -7157*y**4 + 2*y**2 - 131010 wrt y.
-28628*y**3 + 4*y
Find the third derivative of 5*d**4*h - 7345*d**3*h + 13*d**2 + 16*d*h + d + 2*h wrt d.
120*d*h - 44070*h
What is the second derivative of -2*k**5 + 123476*k**3*p**3 - 383*k*p**3 + 176*k*p - k + p**2 wrt k?
-40*k**3 + 740856*k*p**3
What is the third derivative of -529*h**4 + 367*h**3 - 104557*h**2 wrt h?
-12696*h + 2202
What is the third derivative of -885380*s**4 - 75*s**2 - 494 wrt s?
-21249120*s
What is the second derivative of -11148*t**3 + 3*t**2 - 2*t - 2683?
-66888*t + 6
Find the third derivative of 1179723*f**3 + 4093624*f**2 wrt f.
7078338
What is the third derivative of 22052*c**4 - 9439*c**2 wrt c?
529248*c
What is the derivative of a**3*x**3 - 7460*a**2*x**3 - 3878*x**3 - 2*x - 2 wrt a?
3*a**2*x**3 - 14920*a*x**3
Find the third derivative of 6*i**5 + 36*i**4 - 1067*i**3 + 16*i**2 + 10*i + 569 wrt i.
360*i**2 + 864*i - 6402
What is the third derivative of 788644*i*m**3 - 20*i*m + 8*m**2 + 45*m wrt m?
4731864*i
Find the second derivative of -484650*b**4 - 27*b + 2305.
-5815800*b**2
What is the derivative of 166*t**2 + 465*t + 401?
332*t + 465
Find the second derivative of -2071836*d**3 + 2525945*d.
-12431016*d
Find the first derivative of 76062*m**2 - 83252.
152124*m
Find the second derivative of -106091*p**2*t + p**2 - 13*p*t - 40*t - 2 wrt p.
-212182*t + 2
What is th | {
"pile_set_name": "DM Mathematics"
} |
k(m) = 2*m + 6. Suppose -a + 5*o + 2 = 1, 23 = 3*a + 5*o. List the prime factors of k(a).
2, 3
Suppose 0 = -7*m + 2*m + 100. What are the prime factors of m?
2, 5
Suppose -2*y - 4 = -16. Suppose 12*s - 36 = y*s. List the prime factors of s.
2, 3
Suppose 0*x = -4*x + 956. What are the prime factors of x?
239
Suppose 7*h - 4*h - 432 = 0. What are the prime factors of h?
2, 3
Let o(r) = 2*r - 1. Suppose 4*w = -2*m - 24, -m = -4*m - 2*w - 16. Let p be o(m). Let k = 8 - p. What are the prime factors of k?
13
Let h be -14*(-1 + (-9)/(-2)). Let d = h - -19. What are the prime factors of (4/6)/((-2)/d)?
2, 5
Let f(o) = -o**3 - 2*o**2 + 53. What are the prime factors of f(0)?
53
Let h(f) = f**2 + 5*f. Let l be h(-6). Let i = 12 - l. What are the prime factors of i?
2, 3
Suppose -5*j - 118 = -3*x, -2*j + 232 - 56 = 5*x. Suppose 2*n = 1 - 7, -3*d + 4*n + x = 0. List the prime factors of d.
2
Suppose 0 = -2*i - 1 + 5. What are the prime factors of i?
2
Let z(v) = -v**2 + 9*v + 2. Let d be z(7). Suppose l - 3*l = -d. What are the prime factors of (-2)/l + 37/4?
3
List the prime factors of 2*2 + -3 + 41.
2, 3, 7
Let i(s) = 2*s**2 + 2*s + 1. Let b be i(-1). What are the prime factors of (-1)/2*(-3 - b)?
2
Let h be 8/6*3/2. Suppose -5*w = -17 + 2. Suppose h*l - 3*l = -w. List the prime factors of l.
3
Let x = 36 + -17. Suppose -214 = -5*v - x. List the prime factors of v.
3, 13
Suppose 17*p - 44 = 16*p. What are the prime factors of p?
2, 11
Let o = 17 - -53. List the prime factors of o.
2, 5, 7
Suppose 5*c - 237 = 3*d, 2*c - 22 = 4*d + 70. What are the prime factors of c?
2, 3
Let t(l) = 0 + 5*l - 2*l - 2 + 3*l**2. What are the prime factors of t(-3)?
2
Suppose -q = -4*q + 9. What are the prime factors of q?
3
Let n(j) = 2*j + 2. Let d be n(-2). Let u = d - -13. What are the prime factors of u?
11
Let v(x) = x**2 + 6*x + 3. Let z be v(-5). Let i be (z/(-6)*3)/(-1). Let n(u) = -u + 1. What are the prime factors of n(i)?
2
Suppose 3*p - 619 - 110 = 0. List the prime factors of p.
3
Suppose -2*a + 2*l = -28, -2*a + 4*l = -45 + 17. Let r = 2 + a. List the prime factors of r.
2
Let y = 8 + -3. Suppose -20 = 3*v + y*x - 7, 5*v + 4*x = 0. List the prime factors of v.
2
Suppose -2*s - 8 = 0, 3*s + s = -3*a - 4. Suppose a*c - 5*t = 79, -37 = -5*c + 3*c + 3*t. What are the prime factors of c?
2, 13
Let q be (-1)/(((-3)/48)/1). Suppose 10 = -2*w - 2. Let o = w + q. What are the prime factors of o?
2, 5
Let x(y) = -y**3 + 10*y**2 - 6*y - 2. List the prime factors of x(7).
103
Let t(r) = -6*r - 1. Let j be t(-1). Suppose j*h - 44 = -14. What are the prime factors of h?
2, 3
Let c be 4/34 - 1848/102. Let q = c + 70. What are the prime factors of q?
2, 13
Suppose 0 = -3*q + 12 + 6. Suppose 0 = 4*n + 4*a - 36, -q*n + 2*a + 10 = -4*n. What are the prime factors of n?
7
Let c(b) = -b**3 + 12*b**2 - 10*b + 12. What are the prime factors of c(11)?
23
Let x = 872 + -480. What are the prime factors of x?
2, 7
Let y(o) = -o**2 + 14*o - 13. Let x be y(10). Suppose 0 = -v + 3*q + x, v - 5 - 7 = -2*q. What are the prime factors of v?
2, 3
Let h be (1 - 2 - 0)*-17. Let g = -7 + h. List the prime factors of g.
2, 5
Let n(x) = 3*x**2 - 4*x + 5. Let b be n(5). Suppose -5*z - 5*r + b = 0, -3*z - 2*r - 2*r + 35 = 0. What are the prime factors of z?
13
Let k = 0 + 7. Suppose -3*n - k = -4*n. What are the prime factors of n?
7
Let d be 4/1 + (-1 - -2). Suppose 2 = u - 2*z + 6, 5*u - d*z = 0. Suppose 1 = c - u. What are the prime factors of c?
5
Suppose 5*i = 5*z - 105, -2*z - 4*i = -51 + 9. Suppose 6*n + 3*c - z = 4*n, -15 = -3*n + c. List the prime factors of n.
2, 3
Let k(z) = 151*z + 1. What are the prime factors of k(1)?
2, 19
Suppose -25 + 75 = 5*z. Suppose 0 = -w + z - 0. What are the prime factors of w?
2, 5
Suppose m + 3*z = -10, -2*z - z = -4*m + 20. Suppose m*a = -3*i + 16, -4*i + 5*a - 15 = i. Suppose 0*f + i*f - 12 = 0. List the prime factors of f.
2, 3
Let g(i) = 47*i**2 - 6*i - 14. Let c(d) = 16*d**2 - 2*d - 5. Let u(t) = -11*c(t) + 4*g(t). List the prime factors of u(-1).
13
Suppose 137 = 2*c + 3*w, 5*w - 41 = -c + 10. List the prime factors of c.
2, 19
Let y(c) be the third derivative of 13*c**4/24 + 3*c**2. What are the prime factors of y(1)?
13
Let h(f) be the second derivative of f**3/6 - 9*f**2/2 - 2*f. Let n be h(6). What are the prime factors of (-7 + 1)/n - -5?
7
Suppose -3*w + 99 = 2*a, w - 3*w = 2*a - 64. What are the prime factors of w?
5, 7
Let v = 4 + -1. Let b be ((-10)/(-3))/(6/261). List the prime factors of b/15 - 2/v.
3
Suppose 4*h - 4 = -4*k - 0, 2*k + 5*h + 7 = 0. Suppose u + 33 = 3*t - 119, k*t = -u + 191. What are the prime factors of t?
7
Let u(i) = -i + 9. What are the prime factors of u(-7)?
2
Suppose -2*l + 13 + 93 = 0. What are the prime factors of l?
53
Let g be (-1)/2 - 15/(-6). Let l(h) = -h - 6 + 0*h**2 - h**g + 17. List the prime factors of l(0).
11
Suppose 2*y = -3*u + 17, y + 3*u + 1 - 8 = 0. What are the prime factors of y?
2, 5
Suppose -o = 4*d - 122, 143 = o - 0*o - 3*d. List the prime factors of o.
2, 67
Suppose 0 = -3*y - 5*f + 1 + 8, 4*y + 2*f = 12. Let q = -2 + y. List the prime factors of 16/3 - q/3.
5
Let k = 9 + -5. Suppose 0 = o - 3*m - k - 8, 0 = -2*o - 5*m + 2. Suppose -2*v + o = 0, y + 3*v + 2*v - 17 = 0. What are the prime factors of y?
2
Let f be -8*(3 - (-28)/(-8)). Suppose -3*j - 2*g - 1 = -2*j, -f*g = 16. What are the prime factors of j?
7
Let q(z) = -z**3 - 5*z**2 - z + 5. Let d be q(-5). List the prime factors of -1*d*(-6)/12.
5
Let f(j) = 3*j - 3. Let p = 14 - 8. Let t = p + -3. What are the prime factors of f(t)?
2, 3
Suppose -l - 44 = 4*b - 6, -5*b - 39 = -3*l. Let s = -6 - b. What are the prime factors of s?
3
Let v(f) = 8*f**3 + 2*f**2 - f. Suppose 4*d + 15 = 3*d - 4*z, 5*z + 25 = 5*d. What are the prime factors of v(d)?
3
Let d(o) = o**3 - 2*o - 1. Let v(w) = w + 12. Let a be v(-10). Let h be d(a). Suppose -2*x + 40 = h*x. What are the prime factors of x?
2
Suppose -3*b = -9 - 6. Suppose -5*s - 5*j + 25 = -0*j, 0 = 5*j + 15. Let t = s - b. List the prime factors of t.
3
Suppose -2*r = -5*j + 9, -r + 3*r = 3*j - 7. Let f be (-54)/(-4)*2 + r. Let i = 46 - f. List the prime factors of i.
3, 7
Suppose -4*o - 20 = 3*h, -4*h + h + 3*o = 27. Let f = h - 1. List the prime factors of 12/f*9/(-2).
2, 3
Let r = 29 + 13. What are the prime factors of r?
2, 3, 7
List the prime factors of 556/(3 - 3/3).
2, 139
Suppose -l + z - 2 = 0, -z + 3 = -0. Let y be l - (2/(-2) - -28). Let p = -7 - y. What are the prime factors of p?
19
Suppose 2*i - 133 = -5*r, r = 5*i + 5*r - 290. List the prime factors of i.
2, 3
Suppose -106 = 4*f + 5*w, -56 = 2*f - 0*f + 4*w. Let u be f + 4/(4/(-3)). Let a = -18 - u. What are the prime factors of a?
3
Suppose -7*f + 3*f = -28. Suppose -3*s + 4*n + 1 = -f, -3 = -3*n. Suppose -2*z + 4 = 4*g, 0 = -2*z - 3*z - s*g + 28. What are the prime factors of z?
2
Let k(x) = x**2 + 1. Let y be k(1). Let t be y/(-3) + 2/(-6). List the prime factors of 0 + 1 + (12 - t).
2, 7
Let k(o) = -2*o. Let h be k(-2). Let f(c) be the third derivative of c**4/12 + 5*c**3/6 + 7*c**2. List the prime factors of f(h).
13
Let g = 34 - 76. Let a be g/(-2)*(-8)/(-6). Suppose 4 = -2*w, -w = 2*l - 5*w - a. What are the prime factors of l?
2, 5
Let z(o) = -o**3 - 4*o**2 - 3*o. Let x be z(-2). Let p = x - -6. Suppose 2*u = p + 16. What are the prime factors of u?
2, 5
Suppose x - 4*x = -105. List the prime factors of x.
5, 7
Let r(u) = 3*u - 1. Suppose -2*x + 16 = 4. What are the prime factors of r(x)?
17
Let c(z) = 4*z - 1. Suppose 0 = 2*y - 5*y - i + 5, 5*y + i = 11. Suppose v + v + y*b = 7, 1 = v - b. What are the prime factors of c(v)?
7
Suppose 4 = 5*b - 4*b. Suppose -b*n = -2 - 10. What are the prime factors of n?
3
Suppose 5*c + 26 = 4*p - 3*p, -36 = -4*p + 3*c. Let u(h) = 4*h - 5. What are the prime factors of u(p)?
19
List the prime factors of (-12)/6 - (-645)/3.
3, 71
Let z(t) be the first derivative of 13/2*t**2 - t + 2. List the prime factors of z(1).
2, 3
Suppose 0*f = -4*f + 288. Let k = f + -27. Let n = k - 25. List the prime factors of n.
2, 5
Let g(o) = 13*o**2 + 2. What are the prime factors of g(2)?
2, 3
Suppose 4 = 2*r - 3*w - 3, 5*w + 9 = 2*r. Suppose 2 - 94 = -4*x - r*d, -5*x = 4*d - 115. List the prime factors of | {
"pile_set_name": "DM Mathematics"
} |
r = a + 9. Let n = 3784/8813 - 1/1259. What is the second biggest value in r, 3, n?
n
Let w = 0.06 + -1.76. Let l = w + 1.6. Let u = l - 3.9. What is the second smallest value in 0.2, u, 2/13?
2/13
Let z = -0.01 - -15.01. Let s = -33 - -483. Let v = -452 + s. Which is the third smallest value? (a) 5 (b) z (c) 0 (d) v
a
Let p = -1043.09 - -1043. Let j = -31.7 - -32. What is the smallest value in 0.2, j, p?
p
Let p = 45.3949 - 2.3949. What is the fourth smallest value in -0.1, -4, -0.5, p, -8?
-0.1
Let y = 14459 + -14459. Which is the fourth smallest value? (a) -10 (b) 0.3 (c) y (d) 7
d
Let z = -7726 - -7723. Which is the second biggest value? (a) -10 (b) -1 (c) z (d) 1/2
b
Let n = -0.12 - -5.12. Let g = n - 9. Let y be 1175310/34824*2/(-15). What is the third biggest value in g, -1, y?
y
Let m = -0.4 + -1.5. Let r = -1321 + 1323.1. Let x = m + r. What is the third biggest value in 3, -0.1, x?
-0.1
Let g(h) = 119*h + 5. Let q be g(0). What is the third smallest value in 1/7, q, -0.4, -3, 38?
1/7
Let x = -54.45 - -54.15. What is the second biggest value in -3, x, 1, 1/7, -2/53?
1/7
Let x = -0.7648 - -20.7648. What is the third smallest value in 0.07, 5, x, 3?
5
Let t = 108 + -334. Let x = 225.9 + t. Which is the third smallest value? (a) -0.5 (b) 2 (c) -0.2 (d) x
d
Let s = -185 + 185. Let l be s/(-3) - (6 + (-45)/6). Which is the second biggest value? (a) -11/5 (b) 6 (c) l
c
Let w be (-10)/(-20)*2/(-4). Let u be (-93)/(-62)*(-28)/3. Which is the biggest value? (a) 0 (b) u (c) w
a
Let h = 20.6 - 67.5. Let t = -47.1 - h. What is the biggest value in t, -5, -11?
t
Suppose 4 = -r + 3*r. Suppose 5*j + 3*q - 250 = -r*q, -j = -3*q - 30. Let b = j - 50. What is the third biggest value in -4, 2/5, b, 0.2?
-4
Let v = 200.4 + -32.4. Let o = v + -172. Which is the second biggest value? (a) o (b) -0.3 (c) -2/7
b
Let m = 69 + -75. Let l = -145/2 - -75. Which is the smallest value? (a) -0.5 (b) m (c) 1 (d) l
b
Let s = -143/3 + 46. Let r = -71 - -95. Let k = r - 18. Which is the second biggest value? (a) k (b) s (c) 2 (d) 0
c
Let h = 1059/7 - 1061/7. Which is the third smallest value? (a) h (b) -0.178 (c) -0.5 (d) 1/2
b
Let f = 150.54 - 150.04. What is the third biggest value in -1, 5, 37, f?
f
Suppose 62*s = 5232 - 5046. Which is the third smallest value? (a) -1/5 (b) -1.7 (c) s (d) 0.03
d
Suppose 0 = 2*p - 4*x - 13 - 5, -x = 5*p - 1. Let f be -4*(p + (1 - 1)). Let l = 2679.5 - 2680. What is the second smallest value in l, f, -1/7?
l
Let w = 125.25 - 125. Let f = -849 - -837. Which is the smallest value? (a) f (b) -0.1 (c) w
a
Let d = 6.01 + -2.17. Let j = d - -0.06. Let t = j - 3.95. Which is the smallest value? (a) t (b) -2 (c) -4/3
b
Let q = -2637/13 - -203. Let o = -548 + 543. What is the second smallest value in 3, q, o, 2?
q
Let w = 1 + -0.9. Let g(f) = -8*f**2 + 333*f + 479. Let k be g(43). Which is the second smallest value? (a) k (b) -2/9 (c) w
c
Let m = 1152.2 + -1146.2. Suppose d - 4 = -4*k, 0*k = 2*k - d - 8. Suppose -r = -k + 4. Which is the third biggest value? (a) -2/13 (b) r (c) m
b
Let q = 60.861 - -0.139. Let h = 102 - q. Let x = h + -41.3. What is the third smallest value in 2, -4/3, x?
2
Let s = -1.1 + 1.5. Let x = 768.16 + -768. Which is the smallest value? (a) s (b) 1/9 (c) x
b
Let z be (-17)/(-68) - (-111)/4. Let t be 1/(-2) - 0/z. Which is the second biggest value? (a) 2 (b) -2 (c) 2/5 (d) t
c
Let k = 0.15937 - 0.55937. Which is the fourth biggest value? (a) k (b) 2/57 (c) 0.5 (d) -3 (e) 4/5
a
Let t = -3.7 - 0.3. Let o be 3404/13616*(1 - (-2)/6). What is the fourth smallest value in t, o, 5/3, 4.9?
4.9
Let d = -182.8 + 182.8. What is the fourth biggest value in -5/4, -65.5, d, -0.5?
-65.5
Let q = 5 + -2. Suppose 20 = 2*z + p, -z + 4*z - 21 = q*p. Suppose -4*t - 5 = -z*t. What is the biggest value in 5, -3, 0.1, t?
5
Let z = -8094 - -8094.4. Which is the second smallest value? (a) 9 (b) 0.2 (c) z (d) 4 (e) 0.3
e
Let g = 84 - 134. Let z = -611.4 + 561. Let v = g - z. Which is the second biggest value? (a) v (b) 0.1 (c) -5
b
Let t = -1.3 - -0.3. Let h be 2 - ((-204)/(-144) - (-7)/(-42)). Which is the fourth biggest value? (a) 16 (b) t (c) 1/4 (d) h
b
Let c = -34471/6 + 5745. What is the fourth biggest value in -1, -175, 0.5, c?
-175
Suppose -2*y = 154 + 456. Let b = y + 3963/13. Let h = -0.088 + -2.912. What is the smallest value in -4, b, h?
-4
Suppose 4*o - 32 = 28. Let l(v) = -2*v - 1. Let r be l(-2). Suppose 3*i = r - o. Which is the third smallest value? (a) i (b) 1/3 (c) 5 (d) 1
d
Let t = 1037 + -1010.56. Let r = t + -26. Let w = r + -3.44. Which is the third biggest value? (a) -0.3 (b) w (c) 0.2
b
Let w = 4375/3 + -1458. Which is the third smallest value? (a) -0.3 (b) -1/9 (c) -2/5 (d) -3 (e) w
a
Let u = -2467 + 2462. What is the smallest value in 3, -0.073, u, 4?
u
Let j = -159 + 155. Let l be (j/(-3))/((-572)/66). What is the second smallest value in -2, l, -5, 0.04?
-2
Let r(q) = -q**2 - 24*q - 39. Let s be r(-20). Let f = s + -45. Let o be f + 24/4 + 3. Which is the second biggest value? (a) o (b) -0.05 (c) 1
c
Let i be 8/22*(-44)/72. What is the third biggest value in -0.009, i, -3, 5, 0.2?
-0.009
Let k be 1148/5084*(-2)/7. Which is the biggest value? (a) k (b) -0.3 (c) -4/5 (d) 3 (e) 1.2
d
Let h = -7565/47671 + 2/2509. Which is the third biggest value? (a) 0.2 (b) h (c) -1/20
b
Let q = 7982/3 + -2661. Let c = 11 - 10. What is the second biggest value in q, c, 3?
c
Let l = 18.138 + -1389.138. Which is the second biggest value? (a) -2/9 (b) 3/4 (c) l
a
Let o = 63 - 24. Suppose -5*m = 16 + o. Let u = 10538 + -10535. Which is the fourth smallest value? (a) -0.3 (b) m (c) u (d) 2
c
Let l = -82.2 - -81.9. Which is the third smallest value? (a) 3 (b) 1 (c) l (d) 2/15 (e) -134
d
Let j = -14.3 + 15. Let k = 3.7 - j. Let f be ((-12)/(-15))/(11/5)*(910/(-28))/13. Which is the second smallest value? (a) f (b) k (c) -0.3
c
Let t = 0.4 + -1.4. Let a = 10.98657 + 0.01343. What is the fourth biggest value in 2/7, 2, a, t?
t
Let b = -2.9 - 0.1. Let l be ((-2)/(-2312))/((-61)/(-6) - 10). Let p = l - -4615/1734. What is the third smallest value in p, b, 5?
5
Let b = 107/3 + -35. Let r be -3 - (-341)/90 - 755/906. What is the second smallest value in r, 0, 4, b?
0
Let z = -5.6 + -32.4. Let d = -71 - z. Let w = 484/4305 + 6/287. What is the third biggest value in 5, w, d?
d
Let k = -160795/13 - -12369. Which is the third biggest value? (a) -2.3 (b) 36 (c) k
a
Let d = 27 - -161. Let r = -193 + d. Which is the third smallest value? (a) 0.5 (b) -4 (c) r
a
Let j = 126 - 117. Let b be (4 - 39/j)*0. What is the fourth smallest value in -7, b, -2, -0.5?
b
Let s = -0.028 - 2.672. Let q = -2.08 - s. Let g = q - 0.62. What is the second biggest value in -0.3, g, -2/3, -1/8?
-1/8
Let q = 0.017 + 14.983. Let w = -1 + -2. Let s = 2.193 - 0.193. What is the biggest value in w, q, s?
q
Let m be 261/135 + -6 + 6 - 2. What is the fourth smallest value in -2, m, -3/2, 1, 4/9?
4/9
Let q = 17501.8 + -17502. What is the fifth biggest value in -0.5, -5, 76/9, q, -1?
-5
Let w = -9.4 - -9. Let c = 0.032 - -23.968. Let o = 23.8 - c. What is the third smallest value in -4, w, o?
o
Let w = -14528 + 14532. Which is the third smallest value? (a) 2 (b) 3 (c) w (d) -3/5 (e) -0.044
a
Let s = 4.4 - 3. Let a be (-1)/(-2)*(12 + (-1856)/145). What is the fourth biggest value in 5, s, a, 0.3?
a
Let l be (3/15)/(1/7). Let f = 641/35 + -93/5. Let r = -543 + 8143/15. Which is the fourth biggest value? (a) f (b) r (c) 0.1 (d) l
a
Let j be (-4*5/50)/5. What is the fifth smallest value in 8, j, 1, 0.1, 5?
8
Let x = -2016 + 2020. Let m = 0 - -5. Suppose m*u + x*u = -u. Which is the second biggest value? (a) -5 (b) u (c) -2 (d) -0.2
d
Let l = 538/5 - 108. Let x be ((-10)/(-8))/(7/(-4)). Let s be (-52)/(-39)*(-3)/2. Which is the biggest value? (a) s (b) x (c) l
c
Let q be (9612/42)/(-8 - 2104/(-224)). Which is the second smallest value? (a) -3 (b) 2 (c) q
b
Let j = -5542.9 + 5543. What is the fifth biggest value in -4, -4/3, 19, j, -1?
-4
Let f = 44.5 - 44.818. Let t = 2.318 + f. What is the biggest value in -3/2, t, -1/2, -0.04?
t
Let l = -2.677 - -4 | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of m(f) wrt f.
-114
Let j(c) = 25*c**3 - 15*c**2. Let w(u) = -26*u**3 + 16*u**2. Let v(f) = 3*j(f) + 4*w(f). Find the third derivative of v(h) wrt h.
-174
Find the second derivative of 1653 + 25*i - 7*i**2 - 1653 wrt i.
-14
Suppose 2*y - m - 2 = -0, -3*y - 2*m - 4 = 0. Suppose 2*p + 3*i = 11, 4*i + 0*i - 4 = y. Find the second derivative of h - p*h**4 - 3*h + h**4 wrt h.
-36*h**2
Let m = 7 - 4. Let b = 0 + 4. What is the third derivative of 8 - 8 + m*g**4 - b*g**2 wrt g?
72*g
Let t(u) be the second derivative of u**3/6 + 3*u**2 + 3*u. Let w be t(0). What is the first derivative of 6*l + 3*l**2 + 3 - w*l + 0*l wrt l?
6*l
Let x(h) = -7*h**2 - 3*h. Let q(c) = -14*c**2 - 6*c. Let i(f) = 3*q(f) - 5*x(f). What is the second derivative of i(k) wrt k?
-14
Suppose -7*j + 23 = 9. What is the second derivative of 9*m**j - 8*m - 3 + 2 + 1 wrt m?
18
Let t(l) = 27*l**4 - 5*l**3 - 27*l**2 - 5. Let r(p) = 14*p**4 - 3*p**3 - 13*p**2 - 3. Let c(h) = 5*r(h) - 3*t(h). Find the third derivative of c(a) wrt a.
-264*a
Let v(p) = -31*p**2 + 53. Let g(q) = -16*q**2 + 27. Let o(x) = 5*g(x) - 3*v(x). What is the first derivative of o(d) wrt d?
26*d
Let i(r) = 3*r - 9. Let c be i(6). What is the derivative of 3*u - 3*u + 8 + c*u**4 wrt u?
36*u**3
Let b(p) be the second derivative of 3*p + 1/3*p**3 - 1/2*p**2 + 0. What is the first derivative of b(s) wrt s?
2
Let t be -3*(-1 + (-3)/(-9)). What is the third derivative of t*r**2 + r**6 - r**2 - 2*r**6 wrt r?
-120*r**3
Let m be 5 + -3 + -2 + 3. What is the third derivative of 2*g**2 + 3 - 3 + 5*g**m - 3*g**3 wrt g?
12
Let r(n) = -n**4 - 1. Let a(p) = 2*p**4 - 18. Let d(h) = a(h) + 4*r(h). What is the derivative of d(o) wrt o?
-8*o**3
Let v = 5 + -3. Let w be (0 + 1 - 0) + 6. Find the third derivative of -7*h + v*h**6 + w*h + 3*h**2 wrt h.
240*h**3
Suppose -5*n + 90 = 15. Suppose -3*y + n = 2*y. Differentiate -5*s**3 + s**4 + 2 + 3*s**y + 2*s**3 with respect to s.
4*s**3
Find the third derivative of -11*v**6 + 19*v**5 - 19*v**5 + 3*v**2 + 7*v**2 wrt v.
-1320*v**3
Let a(v) be the first derivative of 20*v**3/3 - 10*v + 28. Differentiate a(r) with respect to r.
40*r
Suppose 4*c - 4*z + 16 = 3*c, -3*z = 4*c - 31. Differentiate -2*x**4 - x**c - 2*x**4 - 8 + 12 with respect to x.
-20*x**3
Let z(l) = -l**2 - 2. Let s(h) = -3 + 3 - h - 7. Let f be s(-8). Let b(k) = -k**2. Let j(p) = f*b(p) + z(p). What is the derivative of j(y) wrt y?
-4*y
Let v(f) = 26*f**3 - 17*f**2 + 15. Let h(k) = 9*k**3 - 6*k**2 + 5. Let m(p) = -17*h(p) + 6*v(p). Differentiate m(t) with respect to t.
9*t**2
Let j(l) be the third derivative of -l**7/210 - 7*l**3/6 - 6*l**2. Differentiate j(r) wrt r.
-4*r**3
Let d(c) be the second derivative of 0 + 0*c**2 - 3/56*c**8 + 3*c + 1/4*c**4 + 0*c**3 + 0*c**7 + 0*c**5 + 0*c**6. Find the third derivative of d(j) wrt j.
-360*j**3
Let u(x) be the third derivative of 0*x**4 + 0*x**6 + 0*x - 4*x**2 + 0*x**3 + 2/105*x**7 - 1/12*x**5 + 0. Find the third derivative of u(h) wrt h.
96*h
What is the second derivative of 0*k**5 - 2*k**5 - 9*k + 5*k**5 + 3*k wrt k?
60*k**3
What is the third derivative of -q + 149*q**4 - 141*q**4 + q - 13*q**2 wrt q?
192*q
Let w(q) be the second derivative of q**5/20 - q**2 - 3*q. Differentiate w(d) with respect to d.
3*d**2
Let s(t) = -t**3 - 6*t**2 + t + 8. Suppose -2*g - 5*m - 33 = g, -3*m - 27 = 3*g. Let r be s(g). Find the third derivative of 2*q**2 + q**5 + q**5 - q**r wrt q.
120*q**2
What is the third derivative of -2*l**2 + 20*l**3 + 3*l**2 - 6*l**2 wrt l?
120
Let l(k) = -14*k**2 + 21*k. Let x(t) = -t**2 - t. Let v(h) = l(h) - 2*x(h). Find the second derivative of v(g) wrt g.
-24
Let d(n) be the third derivative of 17*n**7/70 - n**6/120 - 5*n**4/24 - 2*n**2 + 6. Find the second derivative of d(h) wrt h.
612*h**2 - 6*h
Let v(l) be the third derivative of 29*l**4/24 + l**3/3 + 35*l**2. Find the first derivative of v(n) wrt n.
29
Suppose 3*l = -3*i - 9, 3 + 10 = -3*i - 4*l. Suppose m - 5 = -i. Find the first derivative of m - 3 + 1 - 3*h**3 wrt h.
-9*h**2
Let h(x) be the third derivative of -x**6/24 + x**5/20 - 5*x**2. What is the third derivative of h(v) wrt v?
-30
Let g = 5 - 1. Suppose -16 = -g*y - 0. Differentiate 1 - 2 - 3*a**4 + 2*a**y with respect to a.
-4*a**3
Let y(m) be the first derivative of 2*m + 0*m**2 - 4 + 0*m**3 + 0*m**4 - 2/5*m**5. What is the first derivative of y(z) wrt z?
-8*z**3
Suppose -2*a = 2*q + 2*a + 24, -4*a = -2*q. Let v = q - -11. What is the second derivative of -v*b**5 + 3*b - 5*b + 3*b**5 wrt b?
-40*b**3
Suppose 0 = -s - 2*z + 15, 2*s - 5*z + 45 = 6*s. Let o be (-4)/18 - (-29)/9. What is the second derivative of -o*d + 3*d + 2*d**s - d wrt d?
40*d**3
Let z(p) be the first derivative of -23*p**4/4 - 25*p**3/3 - 30. Find the third derivative of z(g) wrt g.
-138
Suppose -5*f = -4*n - 0*f - 9, 2*f = -5*n + 30. Find the third derivative of i**6 + n*i - 4*i + 2*i**2 - i**2 wrt i.
120*i**3
Find the third derivative of -2*v**5 + 2*v**5 - 10*v**5 - 21*v**2 wrt v.
-600*v**2
Let j(o) be the first derivative of 0*o**3 - 1/2*o**4 - 1/2*o**2 + 1 + 0*o. Find the second derivative of j(t) wrt t.
-12*t
Let c(l) be the first derivative of 3*l**4 + 5*l**2 + 23. Find the second derivative of c(b) wrt b.
72*b
Let r = -815 + 48901/60. Let g(t) be the third derivative of t**2 + 0*t**3 + 0*t**5 + r*t**6 - 1/12*t**4 + 0 + 0*t. Find the second derivative of g(a) wrt a.
12*a
What is the derivative of 2*o**4 - 9 - 6*o**4 + 5 wrt o?
-16*o**3
Differentiate 0 + 1 + 6*l**3 + 0 wrt l.
18*l**2
Let r(h) = h**2 + h. Let m(k) = 11*k**2 + 3*k. Let f(l) = -m(l) + 6*r(l). What is the second derivative of f(t) wrt t?
-10
Let h(c) = -c**2 + 2*c - 2. Let g(v) = -4*v**2 + 10*v - 11. Suppose 24 = -5*j - 31. Let n(w) = j*h(w) + 2*g(w). Find the second derivative of n(s) wrt s.
6
Let b(c) = 48*c**4 - 5*c**3 - 47*c**2 - 5. Let i(f) = 24*f**4 - 3*f**3 - 24*f**2 - 3. Let s(a) = 3*b(a) - 5*i(a). What is the third derivative of s(o) wrt o?
576*o
Let m(d) = -6*d**2 + d + 3. Let h(g) be the first derivative of 7*g**3/3 - 4*g + 2. Let k(c) = -3*h(c) - 4*m(c). What is the second derivative of k(r) wrt r?
6
Let w(m) be the first derivative of -11*m**5/5 + 3*m**2 - 21. What is the second derivative of w(s) wrt s?
-132*s**2
Let u be 16/6 - (-4)/12. What is the third derivative of -3*w + w**2 + u*w - 4*w**3 wrt w?
-24
Find the third derivative of -22*u**6 + 23*u**2 + 28*u**6 + 9*u**2 wrt u.
720*u**3
Let w(n) = -7*n**2 - 8*n - 4. Let i(k) = 14*k**2 + 15*k + 7. Let x(f) = -4*i(f) - 7*w(f). What is the second derivative of x(s) wrt s?
-14
Let b(a) = 12*a**4 - 8*a**2 - 5*a. Let p(m) = -12*m**4 + 9*m**2 + 4*m. Let u(q) = 4*b(q) + 5*p(q). Find the third derivative of u(x) wrt x.
-288*x
Let y(c) be the third derivative of -c**8/1344 - c**5/24 + c**4/6 + 2*c**2. Let p(h) be the second derivative of y(h). Differentiate p(f) wrt f.
-15*f**2
Let w(i) = -9*i - 21. Let n(v) = 2*v + 4. Suppose q + 55 = 6*q. Let s(u) = q*n(u) + 2*w(u). Differentiate s(b) wrt b.
4
Let b(n) be the first derivative of 9*n**3 + 45*n + 56. Find the first derivative of b(o) wrt o.
54*o
Let v(y) = y**2 - 6*y + 7. Let a = 4 + 1. Let r be v(a). Find the second derivative of r*h**4 + 3*h - h**3 + 3*h**3 - 2*h**3 wrt h.
24*h**2
Suppose 0 = -p - 2*p. Differentiate 2 + p*s**2 + 0*s**2 - 3*s**4 - 1 wrt s.
-12*s**3
Suppose 12 + 10 = 5*h + 2*w, 3*w = -2*h. What is the third derivative of -2*y**6 - 3*y**h - y**6 + y**2 + 3*y**6 wrt y?
-360*y**3
Let t = 2 + -2. Find the third derivative of a**6 - a**2 + t*a**2 - 2*a**2 wrt a.
120*a**3
Let h(i) be the first derivative of 2*i**3 + 5*i**2/2 + 6. What is the second derivative of h(u) wrt u?
12
Let x(o) = -29*o**2 - 59*o + 11. Let y(v) = 7*v**2 + 15*v - 3. Let z(r) = -6*x(r) - 22*y(r). What is the second derivative of z(d) wrt d?
40
Let q(k) = -4*k**2. Let x(o) = -8*o**2 + o. Let r(j) = -7*q(j) + 3*x(j). What is the second derivative of r(h) wrt h?
8
Let j(x) = 2*x + 1. Let h be j(1). Find the third derivative of -2*i**2 - h*i**2 + 9*i**2 - 3*i**6 wrt i.
-360*i**3
Let j(u) = u**2. Let g(z) = -z**2 - 5*z - 6. Let f(q) = -g(q) - 2*j(q). Let y(l) be the first derivative of f(l). What is the derivative of y(o) wrt o?
-2
Suppose 0 = -2*g - 0*g. Let v = g - -3. Find the third derivative of 2*m**6 - 12*m + 1 | {
"pile_set_name": "DM Mathematics"
} |
in -4*h + 17*h - 3*h - 11*h - 16*h.
-17*h
Collect the terms in -42*k**3 + 2*k**2 - 6*k**2 - 11*k**3 - 5*k**3.
-58*k**3 - 4*k**2
Collect the terms in 5 - 51*d - 5.
-51*d
Collect the terms in -80*x**3 + 665*x**3 - 23*x**3.
562*x**3
Collect the terms in 100*p**2 + 238*p + 237*p - 473*p.
100*p**2 + 2*p
Collect the terms in 1839*l + 4*l**3 - 1839*l.
4*l**3
Collect the terms in 171549 - 515*f + 514*f - 171549.
-f
Collect the terms in -61*i**2 - 8*i**3 + 33*i**2 + 28*i**2.
-8*i**3
Collect the terms in -2*g**2 - 3*g**2 + 0*g**2.
-5*g**2
Collect the terms in -2151*f**3 - 2148*f**3 + 4300*f**3.
f**3
Collect the terms in -2*t + 12*t + 9*t.
19*t
Collect the terms in -35*a + 2 - 3 + 1.
-35*a
Collect the terms in -361*t**2 - 368*t**2 + 722*t**2.
-7*t**2
Collect the terms in -170447*l + 170447*l + l**2.
l**2
Collect the terms in 14*s**3 + 14*s**3 - 40*s**3 + 15*s**3.
3*s**3
Collect the terms in -12*z - 520 + 520.
-12*z
Collect the terms in -b + 7 - 11 + 1 + 7.
-b + 4
Collect the terms in -22 + 2 - k**2 + 20.
-k**2
Collect the terms in -4*r + 9 + 7 - 23 + 11.
-4*r + 4
Collect the terms in -16*c - 8*c - c + 30*c.
5*c
Collect the terms in 710*x**3 + 20 - 705*x**3 - 20.
5*x**3
Collect the terms in -1598*i**2 + 1598*i**2 - 2*i**3.
-2*i**3
Collect the terms in 0*l**3 + 5*l**3 - 14*l**3 + 4*l**3.
-5*l**3
Collect the terms in 20*a**2 + a**2 - 34*a**2 + 17*a**2.
4*a**2
Collect the terms in -5*q**2 + 28 - 28.
-5*q**2
Collect the terms in -3*r**2 + 8*r + r**2 + 0*r**2.
-2*r**2 + 8*r
Collect the terms in -5294 + 2*u + 5294.
2*u
Collect the terms in -32*j**2 + 6*j**2 + j**2 - 7*j**2 - 2*j.
-32*j**2 - 2*j
Collect the terms in 78*r + 62*r**2 - 78*r.
62*r**2
Collect the terms in -971 - 970 - 2*n**3 + 1941.
-2*n**3
Collect the terms in 9*m + 5*m + 6*m - 19*m + m.
2*m
Collect the terms in 93*k - 295*k + 91*k + 102*k.
-9*k
Collect the terms in 121*x**3 - 247*x**3 + 129*x**3.
3*x**3
Collect the terms in 2*z**2 - 14*z**2 - 16*z**2 - 6*z**2.
-34*z**2
Collect the terms in -1 - a + 3*a + 1 - 162*a**2.
-162*a**2 + 2*a
Collect the terms in -30 + 30 + 422*p**3.
422*p**3
Collect the terms in -12*l**3 + 16*l**3 + 18*l**3.
22*l**3
Collect the terms in -5*k + 4*k - k + 6*k.
4*k
Collect the terms in -27*c**2 - 45*c**2 + 93*c**2.
21*c**2
Collect the terms in 19*v**2 + 19*v**2 - 52*v**2 + 11*v**2.
-3*v**2
Collect the terms in 5101 - 5101 + t**2.
t**2
Collect the terms in y - y - 4*y.
-4*y
Collect the terms in -32*x**2 - 410*x + 410*x.
-32*x**2
Collect the terms in 2*g - 6*g + 5*g.
g
Collect the terms in 2 - 8 + 0 - p - 8.
-p - 14
Collect the terms in -2*k**2 - 6*k**2 - 3*k**2.
-11*k**2
Collect the terms in 28 - 22 - 5*g - 6.
-5*g
Collect the terms in 11*h + 1397 - 1397.
11*h
Collect the terms in 617*b - 2450*b + 615*b + 609*b + 610*b.
b
Collect the terms in 15*j**2 + 35*j**2 - 18*j + 18*j.
50*j**2
Collect the terms in -5 + 8*j + 0 - 12*j + 5.
-4*j
Collect the terms in 1 - 25*h**3 + h**3 - 1.
-24*h**3
Collect the terms in -6*f**2 - 7*f**2 + 7*f**2.
-6*f**2
Collect the terms in -2*z**2 - 24*z + 53*z - 29*z.
-2*z**2
Collect the terms in -64*q**2 - 115*q**2 + 0 + 181*q**2 + 0.
2*q**2
Collect the terms in -2*t + t - 8*t**3 + 26*t**3.
18*t**3 - t
Collect the terms in 18*o**3 - 24 + 24.
18*o**3
Collect the terms in -1976 - 9412*f**2 + 1976 + 9412*f**2 - 2*f**3.
-2*f**3
Collect the terms in -3*h**3 + h**3 + h**3.
-h**3
Collect the terms in 8*a**3 + 7*a**3 - a**3.
14*a**3
Collect the terms in 22*d - 30*d + 8 - 8.
-8*d
Collect the terms in 10*i**2 + 8*i**2 - 11*i**2.
7*i**2
Collect the terms in 200*x - 53*x + 25*x.
172*x
Collect the terms in -9 + 9 + 6*j - 7*j.
-j
Collect the terms in 2*j**3 + 7*j**3 + 13*j**3 - 22*j**3 + 4*j**3.
4*j**3
Collect the terms in 5*a**2 - 10*a**2 + 3*a + 11*a**2 - 3*a.
6*a**2
Collect the terms in -8*i + 8*i - 269*i**2.
-269*i**2
Collect the terms in 35*i - 5*i - 9*i - 24*i.
-3*i
Collect the terms in 22 - 88*i - 22 + 0*i.
-88*i
Collect the terms in 31*t - 119*t + 40*t + 47*t.
-t
Collect the terms in 19*o**2 - 2*o**2 + 2*o**2.
19*o**2
Collect the terms in -249*y + 249*y + 2*y**3.
2*y**3
Collect the terms in 5 + 12 + 35 - 5 - 3*c**2.
-3*c**2 + 47
Collect the terms in -18*c - 10*c + 29*c.
c
Collect the terms in 0*c**3 + c**3 + 36*c**2 - 2*c**3.
-c**3 + 36*c**2
Collect the terms in 11*p + 10*p**2 - 2*p - 4*p**2 - p.
6*p**2 + 8*p
Collect the terms in -6*r - 5 + 9*r + 0.
3*r - 5
Collect the terms in -65*f**2 - 114*f**2 + 14*f**2.
-165*f**2
Collect the terms in -5*t**2 + 8*t**2 - t + 12*t**2 + 2*t.
15*t**2 + t
Collect the terms in 43*h**2 + 0*h - 137*h**2 + 0*h + 98*h**2.
4*h**2
Collect the terms in 27 + 25 + 4*y**2 - 52.
4*y**2
Collect the terms in 77*g + 10*g + 26*g.
113*g
Collect the terms in 238*v**2 - v**2 + 89*v**2.
326*v**2
Collect the terms in -4*p**3 + p**3 + 9*p**3 + 3*p**3.
9*p**3
Collect the terms in 606*b + 607*b + 603*b - 1820*b.
-4*b
Collect the terms in 4 - q**3 + 0*q**3 - 6*q**3 - 4.
-7*q**3
Collect the terms in 50*o - 28*o - o**3 - 22*o.
-o**3
Collect the terms in -47*d**2 + 47*d**2 - 27*d**3.
-27*d**3
Collect the terms in 93 + 69*u**2 + 3*u**3 - 93 - 69*u**2.
3*u**3
Collect the terms in -8*j - 8*j - 5*j - 2*j.
-23*j
Collect the terms in -36*d + 7 - 7.
-36*d
Collect the terms in -39*n + 142*n - 36*n - 32*n - 36*n.
-n
Collect the terms in 475 + 14*l - 475.
14*l
Collect the terms in -3*a - 4*a - 6*a + 7*a.
-6*a
Collect the terms in -32*t - 4 + 1 + 5 - 24*t.
-56*t + 2
Collect the terms in -3*b**3 - 2*b**3 + 10*b**3 - 7*b**3.
-2*b**3
Collect the terms in 383327 + 10*q - 383327 + 4*q.
14*q
Collect the terms in l**2 - 4*l**2 - 9*l**2.
-12*l**2
Collect the terms in -24*q**2 - 15*q**2 + 62*q**2 - 21*q**2.
2*q**2
Collect the terms in -3*f - 14*f + 26*f - 6*f.
3*f
Collect the terms in 70*l**2 - 146*l**2 + 60*l**2.
-16*l**2
Collect the terms in 2*j**2 + j**2 + j**3 - 6*j**2 - 6*j**3.
-5*j**3 - 3*j**2
Collect the terms in 900 - 900 - 2*i**2.
-2*i**2
Collect the terms in 401 + 5*k - 223 - 178.
5*k
Collect the terms in -2*o - 399 - o + 399.
-3*o
Collect the terms in -4*x + 2*x - x - 5*x.
-8*x
Collect the terms in 19*q - 38*q - 63*q.
-82*q
Collect the terms in 5*f**2 + 8 - 8.
5*f**2
Collect the terms in -5*l + 10*l - l.
4*l
Collect the terms in 148*v**2 + 7*v**3 - 148*v**2.
7*v**3
Collect the terms in -14122 - 4*h**3 + 14122.
-4*h**3
Collect the terms in 3*g + 95*g**2 - 99*g**2 + 3 - 3*g.
-4*g**2 + 3
Collect the terms in 53*w**2 + 53*w**2 - 18*w - 31*w - 108*w**2.
-2*w**2 - 49*w
Collect the terms in 5*p**2 - 6*p**2 + 3*p**2 - p**2.
p**2
Collect the terms in h**2 - 141*h + 141*h.
h**2
Collect the terms in -165*h - 3955 + 3955.
-165*h
Collect the terms in -132 + 132 + 3*s**2 - 6816*s + 6816*s.
3*s**2
Collect the terms in 90*m**3 - 46*m**3 - 46*m**3.
-2*m**3
Collect the terms in -106*c - 5 + 5.
-106*c
Collect the terms in 207*u**2 - 226*u**2 - 1 - 318*u**2.
-337*u**2 - 1
Collect the terms in 541*f - 13 + 13.
541*f
Collect the terms in 5*h - 18*h - 2*h.
-15*h
Collect the terms in -1361*d**2 + 1359*d**2 + 4*d - 3*d - d.
-2*d**2
Collect the terms in -15*r - 10*r + 28*r - 6*r.
-3*r
Collect the terms in 792*l - 771*l + 2 - 2.
21*l
Collect the terms in 380 + 3*h**3 - 380.
3*h**3
Collect the terms in 65*g - 196*g - 147*g.
-278*g
Collect the terms in -1 + 0 + 2 - 330*i - 2.
-330*i - 1
Collect the terms in 13*r + 9*r + 2*r - 3*r.
21*r
Collect the terms in 55403 - 55403 - 13*y**3.
-13*y**3
Collect the terms in -4*h + 1 - 3 - 56*h.
-60*h - 2
Collect the terms in -6 + 4 + 2 - 16*j.
-16*j
Collect the terms in -19*u**3 - 10*u**3 + 9*u**3.
-20*u**3
Collect the terms in 2*z**2 + 1637 + z**2 - 345.
3*z**2 + 1292
Collect the terms in -3145*h**2 + 2 - 2.
-3145*h**2
Collect the terms in -13 - 161*m - 28*m + 13.
-189*m
Collect the terms in 201*h - 67*h - 64*h - 67*h.
3*h
Collect the terms in -5*v - 12*v + v + 17*v.
v
Collect the terms in -16 - 293*b**2 + 16.
-293*b**2
Collect the terms in 1202 + 7*k - 1202.
7*k
Collect the terms in 4 - 4*g**2 + 29*g**2 - 4.
25*g**2
Collect the terms in -7*n**2 + 199*n**2 - 2 + 4 + 132*n**2.
324*n**2 + 2
Collect the terms in 6*q**2 - 4*q**2 + 154*q - 154*q.
2*q**2
Collect the terms in -38*t - 8*t + 0*t + 23*t.
-23*t
Collect the terms in 1458*r**2 - 1458*r**2 - r**3.
-r**3
Collect the terms in -7*b**3 + 4*b**3 - b**3.
-4*b**3
Collect the terms in 19*m**3 + 4*m - 4* | {
"pile_set_name": "DM Mathematics"
} |
25598*i - 16102388. What is w(-4)?
4
Let o(p) = 51866*p - 15611677. Give o(301).
-11
Let g(i) = 2*i**3 - 330*i**2 + 358*i - 4927. Determine g(164).
-7
Let g(n) = n**2 + 59*n - 13268. Give g(-149).
142
Let p(v) = -3*v**2 - 7167*v + 403386. Determine p(55).
126
Let n(u) = u**2 + 1300*u + 73088. Determine n(-59).
-131
Let q(v) = v**3 + 46*v**2 - 1621*v + 787. What is q(23)?
5
Let l(r) = -3*r**3 + 36*r**2 + 42*r - 53. Give l(13).
-14
Let o(z) = -34*z**3 - 683*z**2 + 2367*z + 48545. What is o(-20)?
5
Let m(c) = -1098*c + 41175. Calculate m(38).
-549
Let b(p) = -4934*p**2 + 251640*p - 312. Determine b(51).
-6
Let m(w) = 2*w**3 - 57*w**2 + 126*w - 133. What is m(26)?
-237
Let m(z) = 5*z**2 + 28*z - 271. What is m(10)?
509
Let q(o) = 15923*o**2 + 47745*o - 17. What is q(-3)?
55
Let y(c) = -3*c**2 - 41988*c + 293939. Calculate y(7).
-124
Let y(t) = -9*t**2 - 1215*t - 9949. Determine y(-126).
257
Let p(g) = -g**3 + 110*g**2 - 2579*g - 4528. Determine p(37).
-14
Let v(g) = 377*g**2 + 16989*g + 1002. What is v(-45)?
-78
Let m(z) = -735*z - 44810. Give m(-61).
25
Let r(f) = 5336*f - 485582. Calculate r(91).
-6
Let d(f) = f**3 - 150*f**2 + 60*f - 31864. Give d(151).
-3
Let j(l) = -11*l**2 + 9823*l - 19644. Give j(2).
-42
Let u(q) = -3*q**2 + 26*q + 810. What is u(-14)?
-142
Let a(c) = -c**3 + 32*c**2 - 213*c + 6725. Determine a(32).
-91
Let g(s) = -4415*s - 17624. Determine g(-4).
36
Let r(g) = -14*g**2 - 321*g - 172. What is r(-23)?
-195
Let h(p) = 4462*p + 249905. Calculate h(-56).
33
Let f(k) = 10*k**2 + 85015*k - 85017. Give f(1).
8
Let a(h) = -h**3 - 23*h**2 - 159*h - 2559. Give a(-21).
-102
Let t(s) = -19276*s - 597568. Determine t(-31).
-12
Let z(k) = -1767*k**2 + 164309*k + 2044. Give z(93).
-2
Let f(o) = -10189*o + 71318. Give f(7).
-5
Let s(q) = -q**3 - 44*q**2 - 194*q - 613. Calculate s(-39).
-652
Let s(n) = 14545*n + 203639. Determine s(-14).
9
Let n(y) = -2*y**2 - 304*y - 10217. Give n(-50).
-17
Let z(x) = -14*x**2 - 160*x - 20. What is z(-8)?
364
Let p(h) = -6*h**2 + 105*h - 153. Calculate p(19).
-324
Let u(z) = 13855*z - 734287. Give u(53).
28
Let h(m) = -2*m**3 + 101*m**2 - 103*m - 10249. What is h(47)?
373
Let j(m) = -3*m**2 - 139*m - 1161. Determine j(-35).
29
Let t(f) = 2*f**2 + 1127*f + 117670. What is t(-138)?
232
Let q(z) = -1761*z**2 + 102134*z + 240. What is q(58)?
8
Let w(c) = 4*c**2 - 186*c + 1181. Give w(39).
11
Let r(c) = -15437*c - 30866. What is r(-2)?
8
Let t(k) = -k**2 - 28214*k - 1183219. What is t(-42)?
5
Let l(f) = -16*f**3 + 241*f**2 + 657*f - 10072. Give l(15).
8
Let w(a) = 2*a**3 + 18*a**2 - 193*a + 355. What is w(5)?
90
Let x(i) = -2*i**3 - 5*i**2 + 30*i + 91. Calculate x(4).
3
Let b(v) = -1134*v + 95333. Calculate b(84).
77
Let n(k) = 8*k**3 + 111*k**2 + 692*k - 39. Calculate n(-6).
-1923
Let l(z) = -308*z - 4123. Calculate l(-17).
1113
Let p(t) = -58*t - 6571. Give p(-112).
-75
Let m(g) = -3*g**3 + 169*g**2 - 2143*g + 7312. What is m(40)?
-8
Let p(x) = -x**3 + 2*x**2 + 638*x - 4608. What is p(8)?
112
Let y(j) = 7*j**2 - 4850*j + 29131. Give y(6).
283
Let d(b) = -b**2 - 12057*b + 265749. Give d(22).
11
Let k(w) = -4*w**2 - 597*w + 1697. What is k(-152)?
25
Let w(u) = -17*u**3 - 2463*u**2 + 260*u - 372. Determine w(-145).
3978
Let o(z) = -z**3 + 19*z**2 - 92*z + 628. Give o(16).
-76
Let m(y) = 16*y**2 - 3776*y - 21. What is m(236)?
-21
Let k(z) = 1575*z - 173239. Determine k(110).
11
Let k(g) = g**3 + 44*g**2 + 470*g + 2075. Determine k(-31).
-2
Let u(a) = -17642*a + 405769. Determine u(23).
3
Let a(r) = -26*r**2 + 2479*r - 579. Calculate a(95).
276
Let z(m) = 3*m**3 + 16*m**2 - 1494*m - 510. Determine z(-25).
-35
Let u(s) = -73507*s - 7644712. Determine u(-104).
16
Let d(x) = x**3 - 114*x**2 + 3199*x - 388. What is d(64)?
-452
Let k(l) = -171*l**2 + 10771*l + 468. Determine k(63).
342
Let o(r) = 3*r**2 - 132*r - 404. Determine o(47).
19
Let g(i) = -i**3 - 7077*i - 14154. Determine g(-2).
8
Let z(f) = f**3 + 37*f**2 + 231*f + 4. Calculate z(-7).
-143
Let c(p) = -2*p**3 - 37*p**2 - 20*p + 1605. Give c(-11).
10
Let g(p) = -p**2 - 34148*p - 2351482. Give g(-69).
-31
Let w(q) = q**3 + 15*q**2 + 393*q + 5196. Calculate w(-14).
-110
Let n(m) = 445*m + 71475. Determine n(-161).
-170
Let c(p) = 208134*p + 3538270. What is c(-17)?
-8
Let c(u) = -u**3 - 30*u**2 - 289*u - 1276. Give c(-18).
38
Let i(v) = 2670*v + 21382. Determine i(-8).
22
Let x(f) = 38069*f + 1294382. Calculate x(-34).
36
Let b(h) = -565*h + 34309. Calculate b(61).
-156
Let y(o) = -5555*o + 438853. Determine y(79).
8
Let c(q) = 9330*q - 1959284. Calculate c(210).
16
Let d(q) = -285*q - 5307. Determine d(-7).
-3312
Let t(f) = -3*f**3 - 14*f**2 - 9*f - 144. What is t(-6)?
54
Let a(k) = -62*k + 4929. Determine a(76).
217
Let q(z) = 13601*z + 4746748. Calculate q(-349).
-1
Let g(p) = 11642*p - 151514. Determine g(13).
-168
Let d(i) = -206247*i - 5. Calculate d(0).
-5
Let j(y) = 124*y**2 + 956*y - 2. Give j(-5).
-1682
Let x(j) = 42*j + 3099. Give x(-44).
1251
Let l(a) = 153615*a + 2457884. Give l(-16).
44
Let i(m) = m**3 - 427*m**2 - 10*m + 4899. What is i(427)?
629
Let y(n) = -670*n - 12971. Determine y(-16).
-2251
Let z(c) = 3*c**3 + 65*c**2 + 122*c. What is z(-2)?
-8
Let a(o) = 4228*o - 21135. Give a(5).
5
Let f(v) = v**3 + 19*v**2 - 715*v - 90. Calculate f(19).
43
Let j(n) = -3*n**2 - 320*n + 2516. Calculate j(9).
-607
Let l(u) = -21*u**2 + 2268*u - 592. Calculate l(108).
-592
Let h(t) = 15*t**3 + 16*t**2 + 33*t + 143. Determine h(-4).
-693
Let b(c) = 390*c + 39663. Calculate b(-100).
663
Let d(u) = -u**3 + 25*u**2 + 2925*u - 174. What is d(68)?
-106
Let a(v) = 11*v**2 - 433*v - 156. Calculate a(39).
-312
Let t(w) = 13924*w - 14. Determine t(0).
-14
Let k(v) = v**2 - 265*v + 8680. Give k(40).
-320
Let a(s) = -2306*s + 260573. Calculate a(113).
-5
Let w(c) = 2*c**2 - 1610*c + 15939. What is w(10)?
39
Let m(g) = 13*g**2 - 2275*g + 4061. Give m(173).
-437
Let c(b) = -b**3 - 429*b**2 + 1167*b - 55248. What is c(-432)?
480
Let j(b) = -b**2 + 586*b + 116805. What is j(-157)?
154
Let c(p) = -10581*p + 127036. Give c(12).
64
Let k(c) = -5*c**2 + 475*c + 170180. What is k(-143)?
10
Let c(l) = -7402*l + 161. Determine c(0).
161
Let b(d) = -257349*d + 11838043. What is b(46)?
-11
Let k(u) = -u**2 + 131*u + 982. What is k(-9)?
-278
Let r(t) = t**2 + 7891*t + 3626513. What is r(-490)?
23
Let n(k) = -k**3 + 39*k**2 + 181*k - 2315. What is n(42)?
-5
Let j(t) = -2*t**2 + 183*t - 1497. What is j(85)?
-392
Let s(h) = -2*h**2 - 291*h - 8183. Determine s(-108).
-83
Let q(d) = d**3 - 8*d**2 - 80*d + 652. Calculate q(6).
100
Let k(n) = 6*n**2 - 5847*n + 23265. Give k(4).
-27
Let r(j) = -615*j**2 - 152519*j + 218. What is r(-248)?
-30
Let n(h) = -h**2 - 53*h + 2844. Determine n(-83).
354
Let w(g) = g**2 - 198*g + 9178. Calculate w(86).
-454
Let s(m) = -4420*m - 8796. Calculate s(-2).
44
Let c(m) = m**2 + 117*m - 2799. Calculate c(-129).
-1251
Let d(v) = -v**3 - 34*v**2 + 1788*v - 7842. What is d(25)?
-17
Let r(m) = -3420*m + 13212. Determine r(4).
-468
Let h(s) = 1523*s + 15249. Give h(-10).
19
Let n(h) = -1803*h + 16791. What is n(9)?
564
Let d(q) = q**3 - 664*q**2 - 1227*q - 69923. Give d(666).
7
Let n(b) = -b**3 - 154*b**2 + 970*b - 1174. What is n(-160)?
-2774
Let j(v) = -5*v**2 - 103*v - 141. Calculate j(-18).
93
Let l(r) = -4874*r - 287565. Calculate l(-59).
1
Let w(d) = 32023*d - 8165843. Determine w(255).
22
Let i(f) = -921*f + 77385. Give i(84).
21
Let c(a) = 63*a + 5631. Calculate c(-76).
843
Let j(a) = -4*a**2 + 1135*a - 3404. Determine j(3).
-35
Let n(a) = a**3 - 18*a**2 + 76*a + 6. Calculate n(6).
30
Let j(f) = f**3 + 232*f**2 - 1005*f - 14369. Determine j(-236).
27
Let r(h) = 68*h**3 - 30260*h**2 + 88*h - 39158. What is r(445)?
2
Let n(f) = 306*f**2 + 23869*f - 189. Determine n(-78).
-267
Let j(n) = 332*n + 12484. What is j(-38)?
-132
Let c(q) = -95*q**2 + 3360*q - 1245. What is c(35)?
-20
Let m(d) = 7*d**3 + 45*d**2 - 421*d - 97. Give m(8).
2999
Let w(z) = -182*z + 5271. What is w(29)?
-7
Let u(d) = -2386*d - 31082. Give u(-13).
-64
Let k(a) = 286*a**2 - 1735*a + 57. Give k(6).
-57
Let i(b) = -265*b**2 - 271*b - 270. What is i(-1)?
-264
Let o(t) = 190992*t - 954943. Calculate o(5).
17
Let w(t) = 38*t**2 - 2689*t - 633. What is w(71)?
6
Let z(a) = a**3 - 65*a**2 - 20 | {
"pile_set_name": "DM Mathematics"
} |
smallest value? (a) -11 (b) s (c) -0.3
c
Let i be 2/15 - ((-3586)/30)/11. Let h = -1.8 + -0.2. Which is the smallest value? (a) i (b) h (c) 0
b
Let h be (20/(-35) - 0)/2. Which is the smallest value? (a) h (b) 29 (c) 2 (d) -1
d
Let i = -0.151 + -95.849. Let t = i + 95.8. What is the third biggest value in -4, t, -2/7, 0.03?
-2/7
Let s(z) = -20*z - 408. Let g be s(-20). Which is the smallest value? (a) 2/21 (b) g (c) 4 (d) 1/4
b
Suppose -6*p - 8 = -170. Let g be 8/p*9/(-12). Which is the second smallest value? (a) 1 (b) 4/9 (c) g
b
Let p be 138/(-54)*-1 - 3. What is the biggest value in -2/3, p, 3, -5?
3
Suppose -9 = -6*y + 5*y. Let w be ((-6)/(-18))/(2/y). What is the smallest value in w, -10, 0.5, -5?
-10
Let u be ((-2)/(-4))/(9/2). Let h = -16.1 - -16. Let a = h - 0.1. What is the third biggest value in 0.1, a, u?
a
Let i = -2125 - -2111. What is the smallest value in 0, i, 0.16?
i
Let j = -19 - -15. Let y be 12/(-16)*j/(-6). Let p be 12/171*(-3)/2. What is the second biggest value in 1/5, p, y?
p
Suppose -4*r - 2 = 2. Let v = r - 2. Suppose 5*w + 20 = -5*n - 0, -12 = 5*w + 3*n. Which is the second biggest value? (a) w (b) -1/3 (c) v
b
Suppose h + p - 3 = 2*p, 0 = 3*p - 3. Let l = 553 + -2767/5. Let s = -0.05 - -0.05. What is the third biggest value in h, l, s?
l
Let y = -12.1 - -12.222. Let k = y - 0.022. Let w = 1 - -1. What is the biggest value in k, w, 0?
w
Let w = 0.1345 - 0.0945. What is the smallest value in -3, 56, w?
-3
Let w = 4 - 3.9. Let r = w - -3.9. Let z = 20 - 21. Which is the third biggest value? (a) z (b) -2 (c) r
b
Let m = -779/7 + 111. Let g be (-1223)/7 + -5 + 6. Let o = g - -174. Which is the biggest value? (a) o (b) 1/9 (c) m
a
Let n be 72/20 + (-4)/(-40)*4. Let y = -70/51 - -12/17. Which is the third biggest value? (a) -4 (b) y (c) -0.6 (d) n
b
Let d = -141 + 149. What is the biggest value in d, 5/4, 1/8, 3?
d
Let y = -3 + 0. Let q = -23 - y. Let s = -368 + 368.2. Which is the third biggest value? (a) q (b) -0.4 (c) s
a
Let h be (-4048)/(-72) - (4/(-9))/(-2). Let i = 53 - h. Which is the fourth biggest value? (a) 1/3 (b) -0.1 (c) -1 (d) i
d
Suppose -442 + 598 = 13*p. Which is the biggest value? (a) 0 (b) 0.3 (c) 1 (d) p
d
Let q = -136.3 - -136.4. Which is the smallest value? (a) 0.39 (b) -2/3 (c) 4 (d) q
b
Let p = 1 + 1. Suppose 3 = -3*x + y + 5, -3*y - 6 = x. Suppose -4*d + 4 = 0, 4*l + d - 13 = -x*d. Which is the third biggest value? (a) p (b) l (c) 0
c
Let c = 0.6 - 26.6. Let f = c - -25.7. What is the smallest value in 1, f, -3?
-3
Let k = -0.5 - -0.3. Let v(z) = -z**3 + 20*z**2 - 2*z - 20. Let l be v(20). Let x be (-10)/6 + 1 + 5/l. What is the second smallest value in -0.3, k, x?
-0.3
Let y be 2/69*4/((-8)/(-3)). Let k = 25/46 - y. Let j = -3 + 2.5. Which is the smallest value? (a) k (b) j (c) -2/17
b
Let v = 2/21 - -59/42. Let o = -672/4537 + -2/349. Which is the second smallest value? (a) o (b) -2/9 (c) v
a
Let v = 1.51 - -0.49. Let k = 316/815 - -2/163. Which is the second smallest value? (a) -6 (b) v (c) k
c
Let l = -12.3 - 0.7. Let t = -16 - l. Let d = 61/165 + -2/55. Which is the biggest value? (a) t (b) -0.3 (c) d
c
Let a = -0.91 + 47.91. Let q = a - 45. What is the second biggest value in q, 2/7, -0.05, -3?
2/7
Let q = 5.983 + 0.017. What is the second smallest value in -3/5, 4/7, q?
4/7
Suppose -2*h - 3*s = 17, 4 = -3*h - s - 4. Which is the biggest value? (a) -72 (b) h (c) -3/4 (d) -4
c
Let m be 2/13 - (6628/156 + -5). Let t = m + 37. Which is the second biggest value? (a) 0.4 (b) -34 (c) t
c
Let w be (-4)/20 - 34/(-20). Let l = -3.96 - 0.04. Let s(x) = -2*x - 17. Let n be s(-7). Which is the third biggest value? (a) n (b) l (c) w
b
Let z(x) = -x**3 - 6*x**2 + 4*x + 40. Let m be z(-5). Which is the fourth smallest value? (a) 4 (b) 2 (c) m (d) -4
a
Let f = 11.4 + -11. Let q = 0 + 0. Let x = 3 - 6. Which is the second biggest value? (a) f (b) q (c) x
b
Let u = 1321 - 2717/2. Let x = u - -36. What is the second smallest value in x, -0.3, -1/2?
-1/2
Let t = -729 + 2188/3. What is the smallest value in -3/5, 368, 3/2, t?
-3/5
Let l = -0.032 + 5.332. Let y = -5.7 + l. Let h = -0.03 + 0.33. What is the second biggest value in h, 5, y?
h
Let m = 125 - 128. Let s = 3.2 + m. What is the smallest value in -0.16, -2/13, s?
-0.16
Let i = 338 + -361. Let n = 12 - -6. Let z = i + n. Which is the third biggest value? (a) z (b) 0.1 (c) -1/2
a
Let c be (-2)/4*(-4)/(-11). What is the smallest value in -23, c, 0.1, -5?
-23
Let s = 588 - 592.49. Let h = 0.19 + s. Let t = -4 - h. Which is the biggest value? (a) 3/5 (b) t (c) 0.5
a
Suppose 0 = 2*o + 4*f + 14, 2*o - 4*f - 17 = 1. Let n = 530 - 530. Which is the third biggest value? (a) o (b) 6 (c) n
c
Let i = -7/11222 - 396085/3680816. Let o = 24251/45264 + i. Let z = 6/23 - o. Which is the second smallest value? (a) z (b) -4 (c) 0.4
a
Let t(w) = -w**2 + 2*w + 88. Let q be t(-9). What is the third biggest value in 0, 10, q, -3?
-3
Let h = -1112 + 2225/2. Let j = 2 + -2.4. Let s = j - -0.7. What is the smallest value in h, s, -2?
-2
Let v = -0.01 - -0.05. Let t = v - 0.07. Let o = 21 - 22. Which is the third biggest value? (a) t (b) o (c) 2
b
Let i = 0.3 + 0.1. Suppose -2*h - 12*q + 11*q = 4, -4*q + 32 = -4*h. What is the fourth biggest value in 3, 0.5, i, h?
h
Let w = 29 - 3. Let l = w - 29. Which is the biggest value? (a) -1 (b) l (c) 0.2
c
Let v = 152 + -152.3. Which is the third smallest value? (a) 4 (b) v (c) -1/3 (d) 1/10
d
Let u = -98 + 103. Let g = -0.9 - -3.9. Which is the third smallest value? (a) g (b) -2 (c) u
c
Let y = 678 + -714.7. Let t = -37 - y. What is the second smallest value in -1, 4, t?
t
Let w = -180 + 188.9. Let x = 5.9 - w. What is the second smallest value in 0.2, 1, x?
0.2
Let y = -2638 - -2637. Let w = 1 + -6. Which is the fourth biggest value? (a) -1/3 (b) w (c) y (d) -3
b
Let d be 207/2900 + (312/300)/(-13). Which is the third biggest value? (a) d (b) -0.2 (c) 1/4
b
Let o = -1662 - -41552/25. Which is the third biggest value? (a) o (b) -24 (c) 2/9
b
Suppose 6*z - 32 = 70. Let j = 0.03 - 0.43. Which is the third smallest value? (a) z (b) -0.2 (c) j
a
Let z = -5.2 - -4. Let n = 0.9 + z. Let r = 2.8 + -2.4. Which is the second smallest value? (a) r (b) -4 (c) n
c
Let x = -3.4 - -3. Let p = 1719/2 + -29397/26. Let k = p - -271. Which is the second biggest value? (a) k (b) x (c) -1
b
Let a = -250156/153 + 1635. Let n = a + 317/1683. What is the biggest value in n, 1, -6?
1
Let z = 589/3 + -196. Which is the biggest value? (a) z (b) -2 (c) 0.3 (d) -2/23
a
Let y = -6.84 + 2.81. Let j = 21 + -21.03. Let l = j - y. Which is the second smallest value? (a) l (b) -5 (c) -2
c
Suppose 6 = -4*f + 30. Suppose 0 = 2*j + j + f. Let n be 1 + j - 25/(-20). Which is the second biggest value? (a) n (b) 1 (c) -5
a
Let g = -1.27 + 4.27. What is the second biggest value in -0.01, -0.1, g?
-0.01
Let f = -267 + 387. Let r = f + -120.03. Let p = 1 + 0. What is the second smallest value in -1/5, p, r?
r
Let i = 31 + -47. Let n = i + 20. What is the biggest value in 2/5, -0.2, n?
n
Let f = -0.072 + 0.272. Let p = 13 - 13.1. Let w = -0.8 + 0.4. What is the second biggest value in p, w, f?
p
Let q = 367/168 + -38/21. Let f be 1/(-84)*(-1405)/(-60). Let d = 1/144 - f. Which is the second biggest value? (a) d (b) q (c) 0
a
Let n = 3308.2 + -3308. Let t = 0.1 - -0.4. What is the smallest value in n, -1, t, 3/2?
-1
Let o = 641/3 - 214. What is the third smallest value in o, -2/9, -5, -0.2?
-2/9
Let l be (-97 + 96)/((-1)/(-9)). Let y = -1 + 0.9. What is the biggest value in y, l, -3?
y
Let i be (-60)/45*3/5. What is the biggest value in 0.2, i, -1?
0.2
Let v = 9.03 - -1.97. What is the third biggest value in 4/5, v, -4, -1?
-1
Let r = 1507/14 + -215/2. Which is the second smallest value? (a) r (b) 4 (c) 3/8 (d) -2/3
a
Let l = 101.3 + -112. Let o = 2.3 - l. Which is the second biggest value? (a) -0.1 (b) 5 (c) o
b
Suppose -2*d - 4 + 0 = -i, -20 = -2*i - 2*d. Let z be i/18 + (-1)/3. What is the fourth biggest value in 4, 1, 2/9, z?
z
Let v = -31.1 + 31.2. Let j be (-10)/18*(-4)/(-5). What is the second smallest value in j, v, -1?
j
Suppose -5 | {
"pile_set_name": "DM Mathematics"
} |
-3. Solve m*l + l + 3 = 0 for l.
-3
Suppose 6 = -5*q - 2*b, b + 3 = 420*q - 423*q. Let u = -4 + 8. Suppose -3*i = -0*i. Solve -2*t + i*t - u = q for t.
-2
Let v(l) = l**2 - 7*l - 10. Let t be v(9). Suppose -17 = -t*c + 7. Solve 0 = -5*n + 8 - c for n.
1
Let m(f) = -2 + 11*f + 6 - 13*f. Let c be m(1). Solve 0 = -3*y + y + c for y.
1
Let y be -7*-3*(-2)/(-21). Solve -y = -10*x + 12*x for x.
-1
Let n(f) = -f**2 + 13*f - 8. Let a be n(12). Solve -o - 3*o - a = 0 for o.
-1
Let w(t) be the second derivative of t**4/12 - 5*t**3/3 - 11*t**2/2 - 2*t. Let d = 74 + -63. Let l be w(d). Solve l*z + 2*z = 2 for z.
1
Let y be ((-80)/24)/(2/9). Let n(o) = o**3 + 14*o**2 - 15*o + 15. Let b be n(y). Solve a - 4*a = b for a.
-5
Let r = 45 - 36. Suppose -5*d = -2*d - r. Solve 2 = -5*f - d for f.
-1
Suppose h - 52 = -15. Suppose 8*s = -13 + h. Solve s*c + 15 = 3 for c.
-4
Suppose v = 4*v - 6. Let m be (275/10)/(-5)*(-1 - 1). Let f be 68/m + -4*4/88. Solve -f*j = -v*j for j.
0
Let b be 35/(-10)*(0 - -2). Let q(k) = -k - 1. Let r be q(b). Solve -r = -4*a + 14 for a.
5
Suppose -4*k + 46*g + 4 = 48*g, g = 3*k + 2. Solve 2*l + 6 - 4 = k for l.
-1
Suppose 2*t - 11 = -5*x, 3*t - x = -6*x + 14. Let i = t + -1. Suppose -a - i*a = 0. Solve a = 5*f - 2 - 8 for f.
2
Let b be 0/(-7 - (-10)/2). Solve 3*g + b*g = -12 for g.
-4
Let q(i) = i**2 - 16*i - 36. Let u be q(18). Solve u = -5*g - 7 + 17 for g.
2
Let t(a) = 49*a**3 + 5*a**2 - a - 4. Let g be t(1). Solve -9*b + g - 13 = 0 for b.
4
Let q = -5 + 15. Let k = 12 - q. Suppose -4*m + m = -9. Solve k*x + m = 1 for x.
-1
Let g be (2 + (-60)/5)*-1. Let p be ((-4)/(-14))/(g/70). Solve 0 = -3*l - p*l - 10 for l.
-2
Suppose 34 = 5*h - 16. Suppose -3*l - h = -8*l. Solve -l*f = 2*f - 16 for f.
4
Suppose 5*n = -n. Let f be 168/30 - (-4)/10. Solve -2*w + f = -n*w for w.
3
Let m(y) = -y**2 + 18*y - 52. Let u be m(4). Solve u*j = -3 - 1 for j.
-1
Let y(s) = -16*s - 150. Let l be y(-13). Solve 0 = 59*x - l*x + 4 for x.
-4
Let w(m) = -2*m - 7. Let r be w(-5). Suppose o + 8 = -3*x + r*o, x + 4*o - 16 = 0. Suppose -5*v - 13 - 7 = -h, 20 = -4*h - 5*v. Solve -d - 2 + h = x for d.
-2
Suppose -4*o - 2 + 6 = 0. Let d be o - (-121 - 3)/4. Solve -12 + d = -5*j for j.
-4
Let h be 18/(-6) + (4 - 2) - -17. Let f be h/((3 - 2)*1). Solve 3*c = -c - f for c.
-4
Let f be (32/6)/(36/54) + 4. Solve f = d + 11 for d.
1
Let p be -1*((-4)/(-28) + 116/(-28)). Solve p*w - 1 = 3*w for w.
1
Let w = 57 + -50. Let q = 6 + -9. Let t = w - q. Solve -4*x - t - 6 = 0 for x.
-4
Suppose 15*q - 6 = 12*q. Suppose -5*p - q*u + 18 = 0, 9 = -2*p + 5*u - 7. Solve -p*z = 3*z - 15 for z.
3
Let y(l) = l**3 - 4*l**2 + 6*l + 3. Let x be y(3). Solve -x - 20 = -8*z for z.
4
Let l = -935 + 987. Solve l*m - 53*m = 2 for m.
-2
Suppose 0 = 14*k - 7*k. Suppose -q - 4*q = -15. Let f = 1 + q. Solve w + 0 + f = k for w.
-4
Let u(p) = 2*p - 60. Let m be u(32). Solve 0 = 4*y - m - 4 for y.
2
Let w = 13 + -7. Suppose -2*d + 0*d + w = 0. Let h be (-4 + 1)/(-1*d). Solve -2*f - h = -f for f.
-1
Let s = -26 + 27. Suppose -5*z + w = 12, -3*z = w + 5 - s. Let r be 3/(-6)*(0 + z). Solve 4*l - 5 = -r for l.
1
Let u(y) be the first derivative of y**4/4 - y**3 - y**2/2 - 3*y - 7. Let p be u(4). Solve 1 = -2*c - p for c.
-5
Suppose -4*x = -4*b + 40, -43*x + 2 = b - 42*x. Solve b*p - 52 = -7*p for p.
4
Let q = -47 + 50. Suppose q*t = 7*t - 20. Solve -t = w - 0 for w.
-5
Let g be 5 + (1 + -1)/1. Suppose -g*v = 4*m - 37, -2*v + 11 = 3*m - 15. Solve 3*c + m = -c for c.
-2
Let b(j) = -6*j - 84. Let w be b(-15). Solve 4*c = w*c + 10 for c.
-5
Let h = -329 - -331. Suppose 5*u = u + 16. Solve u = h*b - b for b.
4
Suppose 17*g = -a + 15*g + 16, 5*a = g + 25. Solve 0 = -a*x + 6 for x.
1
Suppose 84 = -514*d + 521*d. Solve d = 10*i - 6*i for i.
3
Suppose 0 = -13*i + 6*i + 7. Let o = -3 - -6. Solve -i = 2*c - o for c.
1
Suppose -4*c = 2*j, 5*j - 8 = -c + 1. Solve 3*a - 11 = -j for a.
3
Let n be 1 - 1 - (4 - (0 + 1)). Let u(m) = m**2 + 6*m + 11. Let i be u(n). Solve -3*a - 5 + i = 0 for a.
-1
Let l(i) = -i**3 - 5*i**2 - i - 2. Let o be l(-5). Let h(c) = 5*c - 19. Let p be ((-69)/15)/(-1) - 6/(-15). Let t be h(p). Solve -6 = o*v - t*v for v.
2
Let b be 62/10 - ((-6)/15)/(-2). Solve 8*a = -b*a - 42 for a.
-3
Let c(b) = -b**3 + 6*b**2 + 10*b - 42. Let h be c(4). Solve -h = 10*k + 20 for k.
-5
Let f = 0 + 3. Let p = -512 + 524. Solve -p = f*y - 0*y for y.
-4
Suppose -162 = -10*u + u. Suppose -z + 10*z = u. Solve z*l = 7*l + 10 for l.
-2
Let q = 1192 - 1183. Solve 7*y + 5 + q = 0 for y.
-2
Let w = -432 - -437. Solve -w*h - 2 - 23 = 0 for h.
-5
Let u be ((-8)/(-7))/((-122)/(-427)). Solve -2*x - 2*x - u = 0 for x.
-1
Suppose 3*z + 0*h + 2*h - 7 = 0, -14 = -4*z + 2*h. Solve -z + 9 = 3*j for j.
2
Let k be (-3)/((-2)/7 - (-37)/56). Let j(c) = c**2 + 9*c + 9. Let m be j(k). Solve m = 2*s + 9 for s.
-4
Let z = -159 + 408. Solve 247*c - 6 = z*c for c.
-3
Suppose 5*z - 24 = 21. Let d be 5/1*(16 - 15). Solve -d*a + 2*a = -z for a.
3
Let t be ((-1022)/(-38) - 1) + 56/532. Solve 5*a - 1 = -t for a.
-5
Let f = -12 - -19. Let g(q) = 4*q - 7. Let t be g(2). Solve 2*p = f - t for p.
3
Let v = -9 - -17. Let f(p) = 0*p - 3 + 2*p + 2*p**2 + v*p + 9. Let b be f(-6). Solve 2 + b = -5*i for i.
-4
Let i be (4 - 3) + -1 - 24. Let u = i - -28. Solve u = o - 1 for o.
5
Let n(h) = -16*h - 12. Let q be n(-1). Solve 0 = i + q*i - 15 for i.
3
Let d = 18 + 1. Let w = d - 14. Solve -2 = -w*n - 7 for n.
-1
Let k(v) = -5*v**2 - 76*v - 5. Let s be k(-15). Solve 3*b = 5 + s for b.
5
Let j be (-217)/(-77) - 2/(-11). Let l be 0*(j + 40/(-15)). Solve o + l = -3 for o.
-3
Suppose -318 = 6*u + 450. Let t be 12/42 - u/(-7). Let s = -17 - t. Solve -q - s = -5 for q.
4
Let z = 8 - -1. Solve -5*t + z*t + 16 = 0 for t.
-4
Let t = 41 + -44. Suppose -4*i - 17 - 7 = 4*p, i - p = 0. Let j = t - i. Solve 5*x - x - 16 = j for x.
4
Let m = 10 + -8. Suppose m*s - 6 + 0 = 0. Suppose s = 2*q - 3*n, -3*n + n + 14 = 4*q. Solve q = -5*t + 2*t for t.
-1
Let j be 8/16 + 9/(-2). Let a be j/(-14) - 76/(-28). Solve 22 = 5*r - a for r.
5
Let j(u) = -u**3 + 7*u**2 + 13*u - 109. Let z be j(6). Solve 5*k + 40 = -z*k for k.
-4
Suppose -10*x = -212 + 82. Solve 10*a + 9 = x*a for a.
3
Let u = -1347 + 1354. Solve -11 = 4*y - u for y.
-1
Let o(f) = f**2 + f + 1. Let d be o(-4). Suppose 4*v - 19*v + 60 = 0. Suppose 7*h - 5*h - x = 1, v*h + 3*x = -3. Solve h = -3*m - 4 + d for m.
3
Let k be 1/((-6)/(-162)*1/(-1)). Let r = 29 + k. Solve 14 = r*c + 4 for c.
5
Let i(n) = 5*n**2 - 11*n + 11. Let k(v) = 14*v**2 - 32*v + 34. Let a(r) = -17*i(r) + 6*k(r). Let g be a(-7). Solve -5*y + 2 + g = 0 for y.
1
Let g(f) = -f**3 - 7*f**2 - 8*f - 53. Let u be g(-7). Solve 2*o - u = o for o.
3
Let b = -320 + 330. Solve -b = 4*i - 26 for i.
4
Suppose -7*u + 60 = -3*u. Let i = u - 13. Solve -i = 4*c - 3*c for c.
-2
Suppose 5*i - 56 = -3*o, -15*i + 64 = 5*o - 14*i. Suppose -g - 7 = 3*n, -5*n = -2*g + 13 + 6. Solve -g*x = x + o for x.
-4
Let o = 1 - -3. Suppose 0 = l - 6*l - 5*d - 20, -o = 2*d. Let f be 8 + 4/(l/(-1)). Solve n = 3*n - f for n.
5
Suppose 3 + 3 = -2*z, 0 = d + 2*z - 8. Solve -d*a = -63 + 21 for a.
3
Suppose 610 - 2110 = 5*c. Let q = 500 + c. Let y be (6/10)/(8/q). Solve k + y = -2*k for k.
-5
Let q(m) = m - 7. Let u be q(9). Let t be u/4 - 60/(-24). Suppose -2*r - t*b = b - 8, b = 5*r - 64. Solve -4*j = -j - r for j.
4
Let z = 27 + -20. Let p(s) = 1 - 14*s + 9*s - 2 + 0. Let v be p(-2). Solve -4*n - z = v for n.
-4
Suppose 2*q = -i + 8, 3 - 11 = -i - 3*q. Let y be (9 + -6)/(1 + (-16)/28). Solve 0 = 3*m - y - i for m.
5
Let l be (-1)/(-7)*0 - -18. Solve 12*p - 78 = -l for p.
5
Suppose 54 = -9*v + 6*v. Let a(g) = -g**3 - 17*g**2 + 19*g + 24. Let d be a(v). Solve y - 3*y = d for y.
-3
Let i(a) = 3*a. Let x be i(-1). Let p(d) = -d**2 - 3*d. Let v be p(x). Suppose 10*j - 5*j = 60. Solve v = 3*u + j for u.
-4
Let k be (25/(600/16))/((-2)/(-18)). Solve -110 = -k*m - 128 for m.
-3
Let k be (-1)/((-1)/2) + 1. Suppose -2*p - 3*d = 3, 3*p - 3*d + d - 15 = 0. Solve p = k*c - 0*c for c.
1
Suppose 2*h - 2 = -4*f, 19*f = 22*f + 2*h - 2. Solve 0 = -n + 4 - f for n.
4
Suppose -3*u + r = -17, -u - 2*r + 43 = 4*u. Suppose -5 = -4*j + u. Suppose k - 16 = -4*p, -p + 0*p + 3*k = -4. Solve -j*y - p = -y for y.
-2
Suppose 4*l | {
"pile_set_name": "DM Mathematics"
} |
1365*o for o.
-14
Solve -372*a - 23758 = -25990 for a.
6
Solve 704736*z - 704869*z - 8778 = 0 for z.
-66
Solve -2426*u = 3306*u + 2687*u + 976604 for u.
-116
Solve 322 = 590*r + 600*r - 1204*r for r.
-23
Solve 2557*u = -5017 - 1377 - 44746 for u.
-20
Solve 250*u + 66*u + 397*u = 42780 for u.
60
Solve -11*c = -291*c + 3710 - 2391 + 3441 for c.
17
Solve 16632 = 272*f + 232*f for f.
33
Solve -76456 + 76323 = 7*k for k.
-19
Solve 553*o - 2945 = 978*o + 1730 for o.
-11
Solve 1855*p + 34117 = -964*p - 646*p + 207367 for p.
50
Solve 0 = 219*y + 277*y + 14384 for y.
-29
Solve 112*f + 381 - 4973 = 0 for f.
41
Solve -135*o - 353*o - 98*o = -30472 for o.
52
Solve -133*x - 712 - 3017 + 686 = 3341 for x.
-48
Solve 0 = 2091*u - 840*u + 12510 for u.
-10
Solve 7493 = 885*t - 107074 - 4908 for t.
135
Solve 10577*p - 10512*p = -1820 for p.
-28
Solve 57*z + 12090 = -253*z for z.
-39
Solve -39*u - 2394411 = -2395191 for u.
20
Solve 16618*t + 16667*t = 33318*t + 1386 for t.
-42
Solve 280*l - 393*l - 2686 - 2286 = 0 for l.
-44
Solve 0 = -3659*d + 3294*d + 22630 for d.
62
Solve 916*f = 3657 + 37563 for f.
45
Solve 3145 + 326 = -230*d - 3429 for d.
-30
Solve -1781*q + 3659*q + 1338 = 1738*q + 4558 for q.
23
Solve -455657*k - 60 = -455652*k for k.
-12
Solve 0 = -317*d - 15176228 + 15219340 for d.
136
Solve -3522 = 174*u - 1084 + 7480 for u.
-57
Solve 3270*c + 90630 = 214890 for c.
38
Solve 132*x - 49500 = -63492 for x.
-106
Solve 13315 + 17296 = -849*r - 6373 - 42822 for r.
-94
Solve 9305*a = 9378*a - 4964 for a.
68
Solve -82*z + 125*z - 13833 = -52*z - 166*z for z.
53
Solve 358*n = 512*n + 462 for n.
-3
Solve -263292 - 1277689 = 13637*s for s.
-113
Solve 1074 = -119*w + 68*w - 4791 for w.
-115
Solve -134*a - 31*a + 4860 = -57*a for a.
45
Solve -629*v = -810*v + 6335 for v.
35
Solve -775*g - 132*g = -77095 for g.
85
Solve -18120 + 116400 = -871*r + 2383*r for r.
65
Solve 3560 + 3660 = 480*h - 290*h for h.
38
Solve -13625 + 3487 = 1052*k + 5642 for k.
-15
Solve 351*r = 4663 + 1384 - 1063 + 4142 for r.
26
Solve -13309*m + 13207*m + 1122 = 0 for m.
11
Solve -12173 - 59558 = -2066*t + 37767 for t.
53
Solve -117*f - 1540 - 601 - 836 - 1469 = 0 for f.
-38
Solve -331*k - 326*k - 82*k = 223*k + 66378 for k.
-69
Solve -303860 + 267184 = -692*i for i.
53
Solve 395062 - 61437 = 12407*z + 938*z for z.
25
Solve -1061*y + 18517 = 1746*y - 46044 for y.
23
Solve 161917*f - 161687*f + 6670 = 0 for f.
-29
Solve 2516809 = -3*r + 2516773 for r.
-12
Solve 1060*y + 55*y + 11998 = -158*y - 5824 for y.
-14
Solve -1072*h + 1095 = -2494*h - 1749 for h.
-2
Solve 746815 = 1250*g + 889315 for g.
-114
Solve 297960*u - 297717*u + 3402 = 0 for u.
-14
Solve -1378*c + 1176*c = -14424 - 5574 for c.
99
Solve 227*l + 31*l = -17*l - 9350 for l.
-34
Solve -117*m - 2837374 + 2827780 = 0 for m.
-82
Solve 0 = 86*q + 563 - 3274 - 986 - 259 for q.
46
Solve -1425*h = 2708*h + 90926 for h.
-22
Solve -2382*n = 388982 - 148400 for n.
-101
Solve 0 = -5021*g + 4319*g + 37206 for g.
53
Solve -302*b - 10448 - 1934 = 0 for b.
-41
Solve 116*f - 16645 = -45269 + 17256 for f.
-98
Solve -584403 = -22566*b + 15525*b for b.
83
Solve 0 = -77*o + 46496 - 49961 for o.
-45
Solve -6873372*p - 420 = -6873330*p for p.
-10
Solve 23*o = -232 - 291 - 374 for o.
-39
Solve -27910*f - 3262579 - 2891 = 0 for f.
-117
Solve 4609*p + 9900 = 4909*p for p.
33
Solve 524*s - 3168 + 1843 = -204 + 3071 for s.
8
Solve -7142 - 3047 - 5855 = -507*j - 66*j for j.
28
Solve 531150*y - 531241*y + 2548 = 0 for y.
28
Solve 2*q + 2549 - 16931 = -196*q - 108*q for q.
47
Solve -819*b - 187 = -805*b + 93 for b.
-20
Solve -32*j + 81 + 101 = 353 + 405 for j.
-18
Solve 1217 - 237 = 387*b - 208*b - 207*b for b.
-35
Solve -77*m + 3381 - 392 = -3213 + 1274 for m.
64
Solve 794*d + 7692 = 747*d + 5436 for d.
-48
Solve 99*n + 378 + 247 = 922 for n.
3
Solve -2272 + 420 = -135*m + 585 + 398 for m.
21
Solve 90 = 258461*c - 258452*c for c.
10
Solve 10131*t - 569 = 10942*t - 6255 - 93256 for t.
122
Solve -15728*z - 835251 = 249981 for z.
-69
Solve -141624*u = -142942*u + 25042 for u.
19
Solve 5569 + 13414 = -750*f - 17017 for f.
-48
Solve -8*n - 8*n - 39*n = 9*n + 1408 for n.
-22
Solve 0 = -131*i - 16864 + 20008 for i.
24
Solve 42*c - 40*c = -25*c - 44*c - 2201 for c.
-31
Solve 1172*v + 19216 = -8912 for v.
-24
Solve 0 = 208*i + 11062 - 20006 for i.
43
Solve -74*j - 2402 + 1786 - 2862 = 0 for j.
-47
Solve 0 = -303*h + 169*h + 1711 + 497 + 472 for h.
20
Solve -232*i - 13187 - 10300 = 256*i - 8847 for i.
-30
Solve -151*w - 189345 + 194479 = 0 for w.
34
Solve 200*u = 168*u + 947*u + 30195 for u.
-33
Solve -4*b - 140918 = -140662 for b.
-64
Solve 0 = 458*b - 678*b + 7260 for b.
33
Solve -328*f = -659*f + 754*f + 8460 for f.
-20
Solve -5423 + 2939 + 4521 = 97*z for z.
21
Solve 944*b + 17364 - 37912 - 20988 = 0 for b.
44
Solve 394 = 105*s - 461 - 90 for s.
9
Solve 45317 - 139198 = 2135*v - 545*v + 30139 for v.
-78
Solve 2385*n + 2535*n = 1589*n + 84910 + 21682 for n.
32
Solve 1839 = -264798*x + 264757*x - 580 for x.
-59
Solve -153*i = -183*i + 330 for i.
11
Solve 201018 = 64*f + 199354 for f.
26
Solve -106 = -7*x - 21 - 323 for x.
-34
Solve 541*s - 4886 = 12955 + 4340 for s.
41
Solve -238*g = 68*g - 64*g + 64*g + 9180 for g.
-30
Solve 663*p + 57708 = -1758*p - 15894 + 972 for p.
-30
Solve 1134 = -17379*n + 17460*n for n.
14
Solve -90*n = -260*n - 5045 + 1886 - 5341 for n.
-50
Solve -35*s + 92*s = -1011*s - 426*s - 119520 for s.
-80
Solve 98*y - 3401 = -8497 for y.
-52
Solve -1380 - 817 = -4*h - 1713 for h.
121
Solve -2450833*x + 5220 = -2450743*x for x.
58
Solve 6158 = -993*l - 7300 + 2535 for l.
-11
Solve -3919*u + 151326 - 37675 = 0 for u.
29
Solve -344*s - 6372 - 4912 = 2820 for s.
-41
Solve 27*a - 351284 + 352877 = 0 for a.
-59
Solve 169*j - 1523 - 132 = 1048 - 337 for j.
14
Solve 142*y + 50*y - 19680 = -218*y for y.
48
Solve -552*r + 428 = -124 for r.
1
Solve 24788*t - 3354 = 24702*t for t.
39
Solve 7769*v - 11284 = 8133*v for v.
-31
Solve -1412 - 1646 - 1296 = 2177*y for y.
-2
Solve 0 = -33*x - 197 - 955 - 169 + 265 for x.
-32
Solve -775*l - 15933 = -284*l - 16497 - 23495 for l.
49
Solve 1346 = -99459*x - 99496*x + 198888*x - 865 for x.
-33
Solve -550*j = 566*j - 1091*j + 825 for j.
-33
Solve 0 = 1786301*k - 1786683*k + 17190 for k.
45
Solve -874 = -277*m - 2844 - 4020 + 450 for m.
-20
Solve 1302784 - 1297376 = -416*g for g.
-13
Solve 33*c - 45*c = -72*c + 180 for c.
3
Solve 21*i + 344 = 92 for i.
-12
Solve 188879*o = 188934*o - 1815 for o.
33
Solve 824*c - 1762*c + 1445 = -853*c for c.
17
Solve -2926 + 2686 = 186*u + 4224 for u.
-24
Solve 816034*o - 217470 = 819329*o for o.
-66
Solve 1779*z - 35612 - 29241 - 28370 = 466*z for z.
71
Solve -62*y + 1283 = 1105 + 1363 + 1915 for y.
-50
Solve -29*r - 49*r + 158*r - 960 = 0 for r.
12
Solve 0 = -49*b - 21371 + 23723 for b.
48
Solve -1867 - 14679 + 3818 = -534*h + 12370 for h.
47
Solve -3377*d - 25080 = -1556*d - 1536*d for d.
-88
Solve 27946*s = 28042*s - 384 for s.
4
Solve 67*x - 335 = 7*x - 1715 for x.
-23
Solve -15275 = -109*n - 12114 for n.
29
Solve -59 = 4*v - 115 - 76 - 20 for v.
38
Solve -12*c + 32*c - 1767 = -2247 for c.
-24
Solve -1155 = 126*g - 40*g - 31*g for g.
-21
Solve 210 + 57 + 176 = 8*x + 83 for x.
45
Solve -3283 - 2857 = 549*u - 242*u for u.
-20
Solve 419*h = -282*h + 25937 for h.
37
Solve 2569*w - 2903*w + 44340 - 5262 = 0 for w.
117
Solve 126140629*j - 25272 = 126140953*j for j.
-78
Solve 56275 = -635*j + 77865 for j.
34
Solve 113*y + 552*y - 13708 = 367*y for y.
46
Solve -422*u = -99*u - 1615 for u.
5
Solve -917*m - 80152 = 947*m for m.
-43
Solve 727363*r = 727465*r - 10302 for r.
101
Solve 9143*p + 3082*p - 348595 = 937441 + 401014 for p.
138
Solve 30*o - 538*o = 896*o + 18252 for o.
-13
Solve -7936*s - 502675 = 100461 for s.
-76
Solve -12324*h = -12350*h + 2184 for h.
84
Solve 1051*n - 6 + 13 - 7 = 0 for n.
0
Solve 643*n + 610 = -5820 for n.
-10
Solve 6510832*t - 2793 - 36 = 6510791*t for t.
69
Solve -15767*q = -16769*q - 50100 for q.
-50
Solve -5285*g + 173929 = -11046 for g.
35
Solve -145*h + 2082 - 10804 = 8823 + 290 for h.
-123
Solve -5738 = 106*t - 190*t - 110 for t.
67
Solve 621*w + 644*w - 418*w = 21175 for w.
25
Solve 99545*s - 49759*s + 2695 = 49751*s for s.
-77
Solve 54*m - 1041 + 459 = 1571 + | {
"pile_set_name": "DM Mathematics"
} |
1/153
Three letters picked without replacement from jmbjbmbmmbmyymyqb. Give prob of sequence qjy.
1/680
Calculate prob of sequence qp when two letters picked without replacement from {w: 2, u: 5, q: 11, p: 2}.
11/190
Two letters picked without replacement from {y: 1, v: 2, k: 2}. What is prob of sequence kk?
1/10
Calculate prob of sequence iib when three letters picked without replacement from iililiiibiiiii.
55/1092
Calculate prob of sequence sfsn when four letters picked without replacement from nsnsrnnnnfnr.
7/5940
Three letters picked without replacement from eatpaeteaaadeetae. What is prob of sequence dpt?
1/1360
Two letters picked without replacement from {y: 1, n: 1, w: 1, v: 1, q: 1}. Give prob of sequence vy.
1/20
Three letters picked without replacement from {e: 2, g: 1, d: 3, q: 4, y: 1, n: 7}. What is prob of sequence neq?
7/612
What is prob of sequence pz when two letters picked without replacement from aatpapzaap?
1/30
What is prob of sequence wwww when four letters picked without replacement from wwwwwwwww?
1
Two letters picked without replacement from {m: 1, r: 2, l: 1}. Give prob of sequence rr.
1/6
Calculate prob of sequence knrk when four letters picked without replacement from ekgkrin.
1/420
Calculate prob of sequence wubb when four letters picked without replacement from {w: 7, b: 4, e: 2, h: 1, u: 1}.
1/390
Three letters picked without replacement from ggzgzgggggggzggg. Give prob of sequence zzg.
13/560
Four letters picked without replacement from {c: 9, k: 11}. What is prob of sequence ckkc?
22/323
Two letters picked without replacement from {m: 14, j: 4}. What is prob of sequence jj?
2/51
Three letters picked without replacement from {e: 6, w: 4, v: 1, f: 2, p: 2}. What is prob of sequence vfe?
2/455
Two letters picked without replacement from {s: 4, a: 5, d: 1}. Give prob of sequence ad.
1/18
Two letters picked without replacement from mllmztxzxmdxxlzml. What is prob of sequence ll?
3/68
What is prob of sequence zi when two letters picked without replacement from {h: 1, i: 4, z: 3}?
3/14
Calculate prob of sequence dddd when four letters picked without replacement from {d: 9}.
1
Two letters picked without replacement from {y: 4, i: 1, d: 1, m: 2, v: 3, e: 7}. What is prob of sequence em?
7/153
Calculate prob of sequence zub when three letters picked without replacement from gozgabuagzz.
1/330
Calculate prob of sequence zszz when four letters picked without replacement from {s: 2, z: 5}.
1/7
Four letters picked without replacement from fgrrrrfvrrkfkr. Give prob of sequence kffv.
1/2002
Two letters picked without replacement from {s: 1, q: 1, d: 1, x: 2, o: 1, e: 1}. What is prob of sequence de?
1/42
Three letters picked without replacement from yyfoyzffyfuofjyoo. Give prob of sequence ffz.
1/204
Three letters picked without replacement from llllllllll. Give prob of sequence lll.
1
Four letters picked without replacement from {s: 2, m: 2, f: 1, i: 4}. Give prob of sequence issf.
1/378
Three letters picked without replacement from fhqotxx. What is prob of sequence tox?
1/105
Two letters picked without replacement from tmctctcmgmtmttggg. What is prob of sequence cc?
3/136
What is prob of sequence ssg when three letters picked without replacement from fvsgfsqsfffssf?
5/546
Calculate prob of sequence jxx when three letters picked without replacement from qjrqljxjjxxj.
1/44
Two letters picked without replacement from {n: 2, m: 3, b: 1, z: 2, h: 1, p: 3}. Give prob of sequence ph.
1/44
What is prob of sequence xtxm when four letters picked without replacement from txxcm?
1/60
What is prob of sequence gpgp when four letters picked without replacement from {g: 9, p: 11}?
22/323
Three letters picked without replacement from {g: 3, o: 4}. What is prob of sequence goo?
6/35
What is prob of sequence yoy when three letters picked without replacement from yoommommtmmydomm?
1/420
Two letters picked without replacement from tchtthcth. Give prob of sequence cc.
1/36
What is prob of sequence lzz when three letters picked without replacement from {z: 2, l: 9}?
1/55
Two letters picked without replacement from {h: 5, z: 7, w: 8}. Give prob of sequence zh.
7/76
Four letters picked without replacement from {q: 2, p: 1, d: 2}. What is prob of sequence qqpd?
1/30
Four letters picked without replacement from sxqsosxsqzq. What is prob of sequence oqzq?
1/1320
Three letters picked without replacement from jjysmyyijymisijmytjm. What is prob of sequence imm?
1/190
What is prob of sequence zkv when three letters picked without replacement from zzvzvzkezekzvkzkz?
2/85
Four letters picked without replacement from {w: 3, f: 10, o: 2, t: 1, u: 1}. Give prob of sequence tfoo.
1/2856
Two letters picked without replacement from {v: 6, q: 2}. Give prob of sequence vq.
3/14
Calculate prob of sequence llli when four letters picked without replacement from ccilliicllclllli.
2/65
Calculate prob of sequence pfa when three letters picked without replacement from afzrazpaaa.
1/144
Calculate prob of sequence uj when two letters picked without replacement from uuuujhuujhujjj.
5/26
Three letters picked without replacement from {v: 3, y: 3, a: 1}. Give prob of sequence vvv.
1/35
Calculate prob of sequence tdt when three letters picked without replacement from {y: 2, b: 11, v: 1, d: 3, t: 2}.
1/969
Calculate prob of sequence uo when two letters picked without replacement from qufqoqgq.
1/56
Three letters picked without replacement from ttttumtotttttoom. Give prob of sequence oom.
1/280
Four letters picked without replacement from {f: 1, b: 1, c: 1, l: 2, p: 2}. What is prob of sequence plfc?
1/210
Three letters picked without replacement from lccclclcclycclcllcl. What is prob of sequence lcc?
40/323
Four letters picked without replacement from pljlljl. Give prob of sequence jljl.
1/35
What is prob of sequence tt when two letters picked without replacement from {o: 3, t: 4, d: 3, p: 3, m: 6}?
2/57
What is prob of sequence zvvv when four letters picked without replacement from {v: 11, o: 3, z: 1}?
11/364
Two letters picked without replacement from {w: 1, d: 1, u: 2, p: 2, v: 6}. Give prob of sequence wp.
1/66
Three letters picked without replacement from eeeeeeeeee. What is prob of sequence eee?
1
What is prob of sequence ne when two letters picked without replacement from ebkeenekebknken?
3/35
Three letters picked without replacement from ssqyyyz. Give prob of sequence yzs.
1/35
Two letters picked without replacement from {y: 6, i: 3, g: 3, w: 3}. Give prob of sequence gg.
1/35
Three letters picked without replacement from iiiiiiiiiliillii. What is prob of sequence lli?
13/560
What is prob of sequence iii when three letters picked without replacement from {s: 4, g: 1, h: 2, i: 6}?
10/143
What is prob of sequence dsd when three letters picked without replacement from {d: 13, s: 5}?
65/408
What is prob of sequence mh when two letters picked without replacement from {x: 5, h: 1, m: 1, b: 5}?
1/132
Four letters picked without replacement from {a: 5, x: 5, v: 8}. What is prob of sequence xxxx?
1/612
What is prob of sequence jd when two letters picked without replacement from {d: 2, j: 2, v: 4}?
1/14
Four letters picked without replacement from kgmgmgkm. Give prob of sequence kkgm.
3/280
What is prob of sequence uk when two letters picked without replacement from jkkjkjjkjkkzjjujkjju?
7/190
Three letters picked without replacement from epppepppeepap. Give prob of sequence eae.
1/143
What is prob of sequence gg when two letters picked without replacement from {l: 11, g: 8, h: 1}?
14/95
Two letters picked without replacement from {y: 1, q: 3}. What is prob of sequence qq?
1/2
Calculate prob of sequence arr when three letters picked without replacement from {a: 5, r: 3, w: 4}.
1/44
What is prob of sequence tbb when three letters picked without replacement from obtbt?
1/15
Calculate prob of sequence immi when four letters picked without replacement from imjmjmjiifm.
1/110
Two letters picked without replacement from fmepe. Give prob of sequence ee.
1/10
What is prob of sequence yd when two letters picked without replacement from {h: 3, o: 2, y: 4, z: 2, d: 1}?
1/33
What is prob of sequence vvd when three letters picked without replacement from {d: 7, v: 6}?
35/286
Three letters | {
"pile_set_name": "DM Mathematics"
} |
) + 7 + -5)
-19
(11 + -18 + -142 - -25) + 11 - (-3 - 1)
-109
What is the value of 107 + -60 - 53 - ((2 - 64) + -3)?
59
Calculate -90 - (-12 + 12) - (-30 - -19).
-79
158 - (-73 + (25 - -12) - -69)
125
Evaluate (1 + -2 - -5) + (9041 - 9060).
-15
58 - (80 - 36) - (5 - 0) - -23
32
(-61 - 11) + 7 + -13
-78
What is the value of 36 - 2 - (34 + -18) - 0?
18
Evaluate 45 + ((-40 - -18) + 19 - -9).
51
What is the value of (92 - (6 + -3)) + (84 + -47 - 56)?
70
Calculate (4 + -10 - -6) + (-19 - -14) - (104 - -1).
-110
What is 13 + 2 - ((11 + -32 - 101) + -1 + 13)?
125
0 + (4 + -7 - 4) + 7 + (8 - -31)
39
Evaluate -5 - (-3 + -1) - 18 - (707 - 665).
-61
What is -48 - (0 - (5 - 3)) - (407 - 392)?
-61
Calculate (72 + -9 - 26 - 18) + 17.
36
Evaluate -28 - (-12 + 23) - (9 + 42).
-90
What is the value of (10 + 33 - 77) + 19?
-15
Evaluate -3 - -3 - (-13 + 2) - (51 + -12 + -34).
6
Evaluate 25 - (5 - (-17 - -21) - 11).
35
Calculate -53 - (-40 + (23 - -10)).
-46
What is the value of -43 + 122 + -15 - 119?
-55
What is -58 + -122 + (377 - 83)?
114
18 + (2 - 6) + 8 + (12 - 85 - 22)
-73
Calculate -14 + 22 + (-17 - (-60 - (12 + 6))).
69
What is -29 + (3 - 12) - (3 + -19)?
-22
Evaluate (1 - (-9 - (23 + (9 - 20) + 78))) + 6.
106
Calculate (-4 - (-11 - (-5 - -10))) + -30 + 36 + -16.
2
What is 0 - 24 - (-149 - 15 - -92)?
48
Calculate 3 - -1 - (-9 - 77 - 5 - -41).
54
Calculate -111 - (58 + -124) - -76.
31
Evaluate (12 - 0) + -9 + -30 + -7.
-34
Evaluate (3 + (-8 - -3) - 0) + 1 + -7 + -78.
-86
Evaluate 0 + (-6 - (-42 + 8 + 18)).
10
What is the value of 12 - ((-48 - -44) + -15)?
31
What is the value of (0 - 3) + (94 - (75 - -3))?
13
Calculate (-11 + 19 - 17) + (7 - (-7 - 6)) + 46.
57
-4 + -5 + -6 + 3 - (560 + -556)
-16
-12 - -3 - (-18 - (4 - (97 - 3))) - -10
-71
What is 12 - (-1 + 111 + -27 + (8 - -3))?
-82
What is the value of -8 + 0 - ((33 - (28 - 10) - -3) + -14)?
-12
Evaluate 77 + (-23 - (0 + -13 + 11)).
56
What is 5 + 18 + 8 - (13 - 0 - 2)?
20
Evaluate 39 + -42 + -28 - 10.
-41
Calculate -1649 - -1548 - (-3 + 5 + -18).
-85
173 + (-106 - 50) - (0 + 20)
-3
What is the value of 1 - (13 - (-38 + (8 - 9) - -12))?
-39
Evaluate 55 + 33 + 106 + -101.
93
What is -86 - 16 - ((-7 + -1 - 1) + -595 + 596)?
-94
What is (-46 - 2) + (-11 - -5 - -4)?
-50
Evaluate 2 + -2 + (22 - (7 - 41)) + -44.
12
(4966 - 4926) + (-1 - 94)
-55
-55 + -55 + 1 + 76
-33
What is the value of 110 + -5 + 37 + 24 + -103?
63
(-35 - -84 - 58) + 20
11
What is -14 + -12 + 56 + 4?
34
Evaluate 25 - (53 - (-54 - -28)).
-54
Evaluate 5 + (-31 - -6) + 27 + (-2 - 0) + -26.
-21
What is -10 - (-27 - -45 - 4) - -8?
-16
Evaluate -162 - (-97 + -47) - ((0 - -91) + 0).
-109
Evaluate -82 - ((-7 - 6) + -15) - -27.
-27
(-1 - -45) + (0 - (14 + -1 + (14 - 25)))
42
Calculate 68 - (3 - -16 - (-43 - -72 - 14)).
64
What is the value of 9 - (0 - (-12 + 18 - (0 - 4)))?
19
(20 - 192) + 54 + (17 - 41)
-142
Calculate 39 + -11 + -15 + 24.
37
-8 + (-4 - -13) + (4 + -3 - (-24 + 0))
26
What is the value of -31 - (71 - (-73 - -89))?
-86
(-9 + -4 - -8) + 27 + (3 - 1)
24
What is the value of 1001 + -953 - (-3 - 18)?
69
Evaluate 113 + (109 - (39 + 221)).
-38
What is (-80 - -62) + (4 - 5) + 5?
-14
What is the value of (-29 - -92) + -32 + -67 - 52?
-88
Evaluate -16 - (6 - (-50 + 44)).
-28
Evaluate 3 + -41 - (75 - (-104 - -203)).
-14
What is the value of (-766 - -701) + 51 + -3?
-17
-67 + -115 + 132 + 8
-42
6117 + -6186 - (-37 - 1)
-31
-54 + 62 + -11 + 11
8
-96 - (-81 - (25 - 84))
-74
What is the value of 11 + (-167 - (-83 + 45)) + 11?
-107
-49 - (62 + 71 + -92)
-90
What is 13 + -1 - (58 - 46 - (-3 + 17))?
14
-51 - (-11 - (85 - 37))
8
What is 28 + (12 + -47 - 8)?
-15
-47 + -40 - (1 + (-12 - -4 - -7))
-87
Calculate (-78 - 39) + 122 + -4 + (19 - -4).
24
Calculate 0 + -142 - (-671 + 638).
-109
What is the value of (30 - (9 - 7)) + (-483 - -451)?
-4
What is the value of (70 - 116) + -65 + 59?
-52
Calculate -116 + 77 + 0 + 26.
-13
Calculate 56 + -16 + -95 + 9.
-46
Calculate -2 + 15 - (20 - 16 - (20 + -24)) - 98.
-93
What is the value of 5 + 16 + (19 - (15 + -15)) + -51?
-11
Evaluate 2 - -74 - (205 - (155 - -52)).
78
What is (27 - -20) + (66 - 111)?
2
Evaluate 27 - (21 - 30 - (-8 + 64)).
92
Calculate -1 - -5 - (10 - 25 - (-6 + -3 - -2)).
12
Calculate 120 + -107 + -63 + (0 - -7).
-43
What is -40 + -117 + -2 + 26 + -9 + -2?
-144
What is the value of 2 + (54 - 0) + (-153 - -99 - -62)?
64
Evaluate (-212 + 184 - (0 + -17)) + 23.
12
Evaluate (9 + 134 - 64) + -17.
62
3 + -7 + -5 + (-15 - (-12 - -58))
-70
Evaluate (1 - -6) + (-165 - -177).
19
Evaluate (1 + -5 - -8 - -11) + (3 - -39).
57
Evaluate 10534 + -10480 + (4 - -1) + 1 + 1.
61
8 + -1 + (31 - 1) + (951 - 943)
45
15 + 78 + -44 + -82
-33
What is the value of 136 + (-15 - -24) + -85?
60
What is -42 - ((19 - (3 + 8 + 5)) + -8 + 2)?
-39
Evaluate -7 + 15 + -10 - (-4 - (-7 + 6)) - -19.
20
Evaluate 76 - (87 - 52) - 80.
-39
-4 + -9 + -13 + 2 + 25
1
What is the value of 26 + -42 + 8 - (-19 - -1)?
10
What is (1 - (-7 + 1)) + (-96 - (78 + -106))?
-61
Calculate 1 + 6 + 2 + (-1 - (5 + -5)) - -11.
19
30 - (-20 - -10 - 1)
41
2 - (-40 + -2) - (64 - (116 - 60))
36
What is 51 - (-225 + 241 + -1 + -2)?
38
Evaluate 2 - ((1 - -4) + -157 + 156 + 36).
-38
Evaluate -2938 + 2972 - (-2 - -2 - -10).
24
(0 - -1) + (139 + -105 - (-1 - (6 + -3)))
39
Calculate (-12 - -46) + -40 - -26.
20
Evaluate (-10 - 1) + -50 + 55 + -46.
-52
11 + 0 - (-21 + -24 + 23 + -10)
43
Calculate (23 - -48) + -18 + -101.
-48
Calculate (-70 + -22 - (-34 - 1)) + -22.
-79
What is (-5 - -21) + -5 - (358 + -335)?
-12
What is 78 + 23 + -80 + -100?
-79
Evaluate 10 + 0 + 5 + -21 + (3 - (-29 + 4)).
22
What is the value of 5 - (7 + (9 - 4) - 24 - 0)?
17
Calculate 2 + (19 - (43 - (-25 - -22))).
-25
Evaluate 79 + -20 - (73 + 37).
-51
Evaluate -12 - (-22 + -21 + 6 + 13).
12
What is -25 + 62 + -11 - -21?
47
Calculate (-2312 - -2428) + -1 + -101.
14
What is (40 - (-2 - -6)) + 233 + -292?
-23
1 - -1 - (40 + 59 + -36 + -3)
-58
What is -10 + -53 + 15 + (-18 - -19) - 1?
-48
Calculate 1 - (-30 - (-30 - (-15 - -5))).
11
What is 1 + -15 + 6 - ((-33 - -9) + 45)?
-29
What is the value of -15 - (-204 + 126) - 11?
52
What is -7 - (-269 + 241 + 10 + -2) - (20 + -5)?
-2
What is the value of (4 - -1) + -12 + 0 + 4 + -31 + 27?
-7
What is -7 + (-135 + 16 - (-10 + 0 + 5 + -6))?
-115
What is the value of 32 - (-58 - -106) - (-17 + -2)?
3
Calculate -6591 + 6722 + (-80 - 2).
49
What is (15 - (-2 + 0)) + -2990 + 3003?
30
What is (-8 - 13) + (56 - 19) + -32?
-16
What is 4 + (-3 + (84 - 4) - 3) + (154 - 160)?
72
What is 7 + (5 - 28) + 4?
-12
Evaluate 610 + -621 + (-2 - (0 - 4)) + -1 + -40.
-50
55 + (43 - -55 - 155)
-2
(-18 - 1) + (120 - (221 + -113))
-7
What is the value of 18 + (-8 + 56 - 4) + (-5 - 13)?
44
What is the value of (19 - (33 + (0 - 6)) - 2) + -50?
-60
Evaluate (30 + -4 - ((-7 - -87) + 6)) + (13 - 0).
-47
Evaluate -36 - -6 - (17 - 40).
-7
0 + 13 - 15 - (5 + (45 - (2 - 4)))
-54
Evaluate -12 + 19 + (-22 - (23 + -139)).
101
Evaluate (-91 - -122) + -21 + (1 - -9).
20
Calculate -110 + 62 + 59 + -38.
-27
Calculate 50 + (7 + 2 - 12) + (-1 - 6) + 18.
58
-3 + 0 - -1 - -9 - (-68 + 50 - -26)
-1
What is the value of 109 + (-1 - 94) - (-2 + (3 - 39))?
52
Calculate 3 + -20 + -4 + 3 - (-1 + 4).
-21
What is 0 + -38 + 41 + (0 - 6) - -2?
-1
Evaluate 2473 - 2562 - (-3 + -111).
25
What is the value of 13 - ((2 + -9 - -14) + 15) - 2?
-11
What is (2 - (2 + 0)) + 4 + -2 - (-3567 + 3485)?
84
What is 62 - (-19 + 1 - (-39 - (-44 - -12)))?
73
Calculate 1051 + -1118 + (1 - -41).
-25
Evaluate (1 - (6 - (-1 - 3))) + 15 + 0 - 133.
-127
Evaluate -10 + (5 - 1) - 4 - (15 - 105 - -12).
68
What is the value of 69 - -5 - (17 - (-1 - -18))?
74
Evaluate 35 - 6 - (-1163 - -1101).
91
What is (-28 - 25) + 107 + 4 + -3?
55
What is (-71 - -52) + 7 + -10?
-22
What is the value of -169 + -95 - -196 - (16 - 0)?
-84
What is the value of 105 + (-12 - -23) - (33 + -64 + 18)?
129
What is the value of -17 - (158 - (46 + 14))?
-115
Calculate -6 - ((6 - 13) + 14) - (9 - -2).
-24
What is -13 + (-15 - -13 - -16 - 10) - -6?
-3
Calculate (113 - (221 + 41)) + 279.
130
-70 + (-8 - -56) - 16
-38
What is the value of (8 + 0 - -1) + -5489 + 5426 - -10?
-44
Evaluate 3 + (6 - -82) + (611 - 619).
83
Calculate -1154 + 1323 + (-3 - -4) + -34.
136
39 + (-72 - -2 | {
"pile_set_name": "DM Mathematics"
} |
ound n to the nearest 1000000.
-36000000
Let s(w) = -3 + 0 + 7*w - w**2 - 1. Let x be s(5). Suppose 2*o - x*o + 14800000 = 0. What is o rounded to the nearest one million?
4000000
Let g = -169 - -166.71. Round g to one decimal place.
-2.3
Let n be (-63500 + 1)*-4 - -4. What is n rounded to the nearest 100000?
300000
Let u = -80279.429 + 80240. Let k = u - -39.6. Round k to 2 decimal places.
0.17
Let n = 83.9999926 - 84. Round n to six dps.
-0.000007
Let c be (-2 - -12502)*2*256. What is c rounded to the nearest one million?
6000000
Let x = -1.2 + 11. What is x rounded to zero decimal places?
10
Let a(i) = -1040002*i + 10. Let o be a(5). What is o rounded to the nearest one million?
-5000000
Let h = -88 - -98.7. Let y = -59.7 + h. Let z = -48.9999954 - y. What is z rounded to six decimal places?
0.000005
Let r = 11 + -6. Suppose -z + 6 + 19 = 0. Suppose s + 25 = -2*k - 4*s, r*s = -z. Round k to 3 decimal places.
0
Let w = 0.08 + -0.073. Let b = w - 9.207. What is b rounded to 0 dps?
-9
Let y = 0.009 + 8.191. Let a = 12.1 - y. Let l = a - -5.5. Round l to the nearest integer.
9
Let m = 0.086 + 42.914. Let s = -1672210 - -1672253.00076. Let a = s - m. What is a rounded to 4 dps?
0.0008
Let m(r) = r**3 - 4*r**2 - 5*r + 3. Let q be m(5). Suppose -4 = -4*t + q*t. Let j be -2 - 1/((-2)/t). Round j to the nearest 1000.
0
Suppose -2*d = -5*d + 353388. Let k be (-1832)/(0 + (-4)/(-362)). Let f = d + k. Round f to the nearest ten thousand.
-50000
Suppose -c - 2*c = 810000. What is c rounded to the nearest 100000?
-300000
Let z = -0.06 - -0.117. Let v = -0.05762 + z. Round v to four decimal places.
-0.0006
Let n = -122341.6 - -122340.9999972. Let i = -0.6 - n. What is i rounded to 6 dps?
0.000003
Let g = 5 + -5.07. Let i = -0.05 + g. Round i to one dp.
-0.1
Let u = 18 + -6. Let a = u - 11.9962. What is a rounded to three decimal places?
0.004
Let l = 0.04 - 21.04. Let p = -20.986793214 + -0.013127786. Let t = p - l. Round t to five dps.
0.00008
Let i(j) = -j**3 - 6*j**2 - j - 3. Let f be i(-6). Let b = f - 6. What is b rounded to 0 decimal places?
-3
Let o = -14.21195091 + 1.21195056. Let u = 13 + o. What is u rounded to seven dps?
-0.0000004
Let c = -423 + 604. Let x = -103 + c. Let g = 78.00124 - x. Round g to four dps.
0.0012
Let w = -23.4 - -23.400199. Round w to 5 decimal places.
0.0002
Let m = -655074 - -992074. Round m to the nearest one hundred thousand.
300000
Let n = -21774.54 + 21775.5400055. Let x = n - 1. What is x rounded to 6 decimal places?
0.000006
Let h = 163.7 + -137. Round h to the nearest integer.
27
Let j(f) = -f**3 - 2*f**2 - 3*f - 2. Let l be j(-2). Suppose -4808665 = -o + 2*b + 5791329, -42399988 = -l*o + 4*b. Round o to the nearest one million.
11000000
Let g = 0.0749876 - 0.075. What is g rounded to 6 decimal places?
-0.000012
Let k = 6.8 - 6.7942. What is k rounded to three decimal places?
0.006
Let s = -4551892.200034 - -4551854.2. Let d = s + 38. What is d rounded to 5 decimal places?
-0.00003
Let k(s) be the third derivative of 2315*s**6/24 - s**5/12 - s**4/8 - s**3/3 - 9*s**2. Let b be k(6). Round b to the nearest 1000000.
3000000
Let i = 3.29762 - 3.3. Round i to four decimal places.
-0.0024
Let d be -1 + 213659 + -4 + -1. Let s = -59347 - d. What is s rounded to the nearest ten thousand?
-270000
Let p = 438733 - -171267. Let k be (0 + 0)/(-2*1). Suppose -6*h + h + p = k. What is h rounded to the nearest ten thousand?
120000
Let b = -5 + -9. Let i = -15.1 - b. Let q = 0.1 - i. What is q rounded to the nearest integer?
1
Let t(r) = r - 1290000. Let v be t(0). What is v rounded to the nearest 100000?
-1300000
Let i(w) = -10201*w + 5. Let x be i(5). What is x rounded to the nearest ten thousand?
-50000
Let q = 119 - 118.99999702. Round q to seven decimal places.
0.000003
Suppose -6*i + 2 - 38 = 0. Let l(r) = -3*r + 4 - 42129*r**3 + 3*r**2 + 0*r**2 - r. Let q be l(i). Round q to the nearest 1000000.
9000000
Let f be 19 + -5722 - (-3 + 0). Round f to the nearest 1000.
-6000
Let s = 0.4 + -1.7. Let c = s - -6.3. Let j = -5.00003 + c. Round j to four dps.
0
Let i = 2.6 - 2.5999955. Round i to 6 decimal places.
0.000005
Let n(f) = 4*f**3 + f**2 + f - 1. Let b be n(1). Let m(s) = -19601*s**2 + 4*s + 5. Let y be m(b). What is y rounded to the nearest one hundred thousand?
-500000
Let x = -131246687 + 131246685.70000014. Let c = 0.01 + 1.29. Let y = c + x. Round y to 7 dps.
0.0000001
Let i = -1676.0144 + 1658. Let b = i - -18. What is b rounded to three dps?
-0.014
Suppose 0 = -8*j - 0*j - 3520. Round j to the nearest 100.
-400
Let l(v) = 3*v**3 + 19*v - 2. Let g be l(-14). What is g rounded to the nearest one thousand?
-9000
Let v = 2847 - 4087. Let x = 33240 + v. Round x to the nearest ten thousand.
30000
Let v = 50.02 - -0.98. Let m = v - 51.00043. Round m to 4 dps.
-0.0004
Let i = -7 + 2. Let w = i + 8.4. What is w rounded to 0 decimal places?
3
Let x be (-4)/14 - 28935/35. Let j = x - -407. What is j rounded to the nearest 100?
-400
Let w = -113 - -113.00166. What is w rounded to four dps?
0.0017
Let o = 1.94 + -2. Let v = o - -0.111. Round v to 2 dps.
0.05
Let c = -36 + 27.3. What is c rounded to zero dps?
-9
Let i = -6 - -112. What is i rounded to the nearest ten?
110
Let b = 3668031.99907 + -3668192. Let v = b - -160. What is v rounded to four decimal places?
-0.0009
Let d = -70.48 + -1.52. Let y = 15 - d. Let s = 86.99939 - y. Round s to four dps.
-0.0006
Let y = -268.117 + 268. Let r = -0.1107 - y. What is r rounded to 3 dps?
0.006
Let x(h) = 2*h - 600. Let c be x(0). What is c rounded to the nearest one hundred?
-600
Let f(x) = 3*x**3 + 4*x**2 - 4*x + 5. Let k be 19/(-3) + (-12)/18. Let z = k - -2. Let q be f(z). What is q rounded to the nearest 100?
-300
Suppose 0 = 3*c - 7016209 - 7814594. Let t = c - 11243601. What is t rounded to the nearest one million?
-6000000
Let a = 99 - 98.999933. What is a rounded to 5 decimal places?
0.00007
Let x = -36483 + -183517. Round x to the nearest one hundred thousand.
-200000
Let u = -9 - -9. Suppose u = -3*s - 7674 - 5526. Round s to the nearest 1000.
-4000
Let c = 95 + -94.9829. What is c rounded to three decimal places?
0.017
Let k = -123 - -73. Let p = -49.99943 - k. Round p to 4 dps.
0.0006
Let m(d) = 6798*d**3 + 3*d**2 - 2*d + 1. Let v be m(1). What is v rounded to the nearest one thousand?
7000
Let b = 173 + -173.01055. Let v = b - -0.01. Round v to 4 dps.
-0.0006
Suppose c - 2*i - 399998 = 0, -4*i + 4 = -0. What is c rounded to the nearest 100000?
400000
Let v(i) = 4937*i**3 - 5*i**2 - 8*i + 6. Let j be v(5). Let g = 2146966 - j. What is g rounded to the nearest 100000?
1500000
Let i = 133.000195 - 133. What is i rounded to 5 dps?
0.0002
Let d = -7 - -8.4. What is d rounded to the nearest integer?
1
Let q = 22 + -17. Suppose 5*g - 2*r + 46000000 = 0, 8*g - 5*g + 27600000 = q*r. What is g rounded to the nearest one million?
-9000000
Let v = 22 - 31. Let d = 6 + v. Let c be 0/d - -1 - 31001. Round c to the nearest ten thousand.
-30000
Let w = -395.1936 - -398.2. Let x = -0.07 + -2.93. Let m = x + w. What is m rounded to 3 dps?
0.006
Let u = -9.19 + 9.6. Let n = -271 - -272.49. Let d = u + n. Round d to zero decimal places.
2
Let q = 158.713 - -0.287. Let b = 1170.9 + -1005. Let a = q - b. Round a to the nearest integer.
-7
Let s = -3715855 + 1229480. Let t = s - -2486426.99917. Let r = -52 + t. What is r rounded to four decimal places?
-0.0008
Let d be ((-4)/1)/(6/(-222876)). Let x = 611416 + d. What is x rounded to the nearest 100000?
800000
Let g(r) = -79578 - 4*r + 2*r + r - 88883 - r**2. Let h be g(0). Let b = 348461 + h. Round b to the nearest 100000.
200000
Let d = -8 + 11. Let g be 146250/(-12)*(-2240)/d. What is g rounded to the nearest 1000000?
9000000
Let q(a) = -630*a**3 + a - 1. Let u be q(1). What is u rounded to the nearest 100?
-600
Let c = -70116858 + 70116821.999969. Let t = 76 + -112. Let r = t - c. Round r to five dps.
0.00003
Let g = -36 - -35.73. Let p = -318863.52 - -318863.24999934. Let z = p - g. What is z rounded to 7 dps?
-0.0000007
Let h = -584483608.13053 + 584453716. Let v = h - -29892. Let l = 0.13 + v. What is l rounded to 4 decimal places?
-0.0005
Let f be 3/(12/40)*2302255. Suppose 0 = -5*u - f - 4477450. Round u to the nearest one million.
| {
"pile_set_name": "DM Mathematics"
} |
, 13, 337, 479
List the prime factors of 3559918.
2, 37, 73, 659
What are the prime factors of 48002?
2, 24001
What are the prime factors of 2817384?
2, 3, 89, 1319
List the prime factors of 544978.
2, 7, 67, 83
List the prime factors of 302862.
2, 3, 7, 7211
What are the prime factors of 173820?
2, 3, 5, 2897
List the prime factors of 18229664.
2, 19, 29983
What are the prime factors of 1584055?
5, 11, 83, 347
List the prime factors of 1932648.
2, 3, 80527
List the prime factors of 402477.
3, 19, 23, 307
What are the prime factors of 495138?
2, 3, 7, 11789
List the prime factors of 246918.
2, 3, 7, 5879
List the prime factors of 428328.
2, 3, 661
List the prime factors of 53630.
2, 5, 31, 173
What are the prime factors of 87901?
11, 61, 131
List the prime factors of 3530256.
2, 3, 73547
List the prime factors of 49408.
2, 193
What are the prime factors of 1010104?
2, 31, 4073
List the prime factors of 119905.
5, 23981
What are the prime factors of 5387696?
2, 83, 4057
List the prime factors of 2837396.
2, 709349
What are the prime factors of 289747?
37, 41, 191
What are the prime factors of 770743?
257, 2999
What are the prime factors of 280026?
2, 3, 47, 331
List the prime factors of 2982135.
3, 5, 13, 41, 373
What are the prime factors of 16512528?
2, 3, 23, 14957
What are the prime factors of 6905481?
3, 11, 209257
What are the prime factors of 34452049?
34452049
List the prime factors of 414785.
5, 7, 1693
What are the prime factors of 301488?
2, 3, 11, 571
List the prime factors of 11077077.
3, 11, 335669
List the prime factors of 625893.
3, 208631
What are the prime factors of 153118?
2, 7, 10937
List the prime factors of 12692478.
2, 3, 227, 9319
List the prime factors of 19039567.
19039567
List the prime factors of 6647301.
3, 738589
List the prime factors of 5356038.
2, 3, 179, 4987
List the prime factors of 5947318.
2, 13, 59, 3877
List the prime factors of 368128.
2, 719
What are the prime factors of 14768746?
2, 193, 38261
List the prime factors of 364220.
2, 5, 18211
List the prime factors of 1136829.
3, 29, 73, 179
List the prime factors of 11233537.
7, 281, 5711
List the prime factors of 816443.
816443
List the prime factors of 11246373.
3, 827, 1511
What are the prime factors of 613735?
5, 131, 937
What are the prime factors of 496848?
2, 3, 11, 941
List the prime factors of 1186765.
5, 71, 3343
List the prime factors of 28214.
2, 14107
List the prime factors of 15639715.
5, 7, 13, 37, 929
What are the prime factors of 13206543?
3, 7, 709, 887
What are the prime factors of 1942140?
2, 3, 5, 32369
List the prime factors of 7673805.
3, 5, 56843
What are the prime factors of 609866?
2, 304933
List the prime factors of 884258.
2, 23, 47, 409
What are the prime factors of 1934386?
2, 293, 3301
List the prime factors of 100337.
269, 373
What are the prime factors of 3831037?
7, 547291
What are the prime factors of 12791469?
3, 4263823
What are the prime factors of 2904955?
5, 487, 1193
What are the prime factors of 7516?
2, 1879
List the prime factors of 240264.
2, 3, 47, 71
What are the prime factors of 11958?
2, 3, 1993
What are the prime factors of 11614349?
17, 167, 4091
List the prime factors of 1094036.
2, 479, 571
What are the prime factors of 7163?
13, 19, 29
What are the prime factors of 337347?
3, 37483
List the prime factors of 1272946.
2, 636473
List the prime factors of 526593.
3, 257, 683
What are the prime factors of 3035831?
421, 7211
What are the prime factors of 2313893?
971, 2383
What are the prime factors of 471847?
471847
List the prime factors of 2348918.
2, 11, 13, 43, 191
List the prime factors of 6081773.
107, 113, 503
List the prime factors of 1789580.
2, 5, 13, 6883
List the prime factors of 239302.
2, 7, 17093
List the prime factors of 933014.
2, 19, 43, 571
List the prime factors of 182491.
41, 4451
List the prime factors of 2162819.
137, 15787
List the prime factors of 1164253.
1164253
List the prime factors of 129379.
129379
List the prime factors of 91243.
91243
What are the prime factors of 3357715?
5, 149, 4507
List the prime factors of 2330319.
3, 829, 937
List the prime factors of 1308422.
2, 17, 29, 1327
List the prime factors of 32053315.
5, 7, 359, 2551
What are the prime factors of 2681666?
2, 13, 103141
What are the prime factors of 798154?
2, 7, 47, 1213
What are the prime factors of 7080449?
17, 416497
What are the prime factors of 90328?
2, 7, 1613
What are the prime factors of 14511710?
2, 5, 17, 85363
What are the prime factors of 918138?
2, 3, 13, 79, 149
List the prime factors of 1195132.
2, 509, 587
List the prime factors of 1049258.
2, 7, 149, 503
List the prime factors of 24614911.
24614911
What are the prime factors of 1251196?
2, 312799
List the prime factors of 10757626.
2, 11, 44453
What are the prime factors of 11909904?
2, 3, 281, 883
List the prime factors of 1736866.
2, 19, 45707
List the prime factors of 19247849.
23, 836863
What are the prime factors of 9029468?
2, 7, 389, 829
What are the prime factors of 2295635?
5, 459127
List the prime factors of 16634691.
3, 269, 6871
What are the prime factors of 13207391?
13207391
List the prime factors of 697015.
5, 11, 19, 23, 29
List the prime factors of 5046889.
349, 14461
What are the prime factors of 46929?
3, 15643
List the prime factors of 4068471.
3, 11, 31, 41, 97
What are the prime factors of 366895?
5, 73379
List the prime factors of 176641.
176641
List the prime factors of 5269385.
5, 11, 149, 643
List the prime factors of 7681750.
2, 5, 30727
What are the prime factors of 4014187?
19, 41, 5153
What are the prime factors of 353398?
2, 176699
What are the prime factors of 446666?
2, 11, 79, 257
List the prime factors of 411827.
13, 79, 401
What are the prime factors of 9238413?
3, 1087, 2833
What are the prime factors of 4506855?
3, 5, 53, 5669
What are the prime factors of 509637?
3, 19, 8941
List the prime factors of 1902568.
2, 237821
List the prime factors of 71345.
5, 19, 751
List the prime factors of 197948.
2, 17, 41, 71
List the prime factors of 642656.
2, 7, 19, 151
List the prime factors of 1068423.
3, 356141
List the prime factors of 1044498.
2, 3, 7, 13, 1913
List the prime factors of 6860552.
2, 857569
What are the prime factors of 281633?
11, 25603
What are the prime factors of 10262474?
2, 5131237
List the prime factors of 154118.
2, 263, 293
List the prime factors of 1794443.
7, 256349
List the prime factors of 6640231.
13, 31, 16477
What are the prime factors of 4824184?
2, 603023
List the prime factors of 479716.
2, 119929
What are the prime factors of 69446?
2, 13, 2671
List the prime factors of 1481037.
3, 103, 4793
What are the prime factors of 36428758?
2, 18214379
List the prime factors of 40077506.
2, 7, 103, 27793
What are the prime factors of 285727?
13, 31, 709
List the prime factors of 2075696.
2, 7, 43, 431
List the prime factors of 214571.
7, 29, 151
List the prime factors of 1605232.
2, 41, 2447
List the prime factors of 541413.
3, 43, 1399
List the prime factors of 842273.
71, 11863
What are the prime factors of 2492601?
3, 67, 12401
List the prime factors of 7541552.
2, 61, 7727
What are the prime factors of 1247067?
3, 138563
List the prime factors of 138279.
3, 46093
List the prime factors of 116023.
157, 739
List the prime factors of 1900540.
2, 5, 95027
What are the prime factors of 11961250?
2, 5, 7, 1367
What are the prime factors of 4102822?
2, 19, 101, 1069
List the prime factors of 2195396.
2, 7, 23, 487
List the prime factors of 51430.
2, 5, 37, 139
List the prime factors of 107735.
5, 29, 743
List the prime factors of 287262.
2, 3, 15959
What are the prime factors of 2242178?
2, 23, 79, 617
What are the prime factors of 4311168?
2, 3, 103, 109
List the prime factors of 3398972.
2, 849743
What are the prime factors of 109700?
2, 5, 1097
What are the prime factors of 1417855?
5, 283571
List the prime factors of 150900.
2, 3, 5, 503
List the prime factors of 11088220.
2, 5, 11, 13, 3877
What are the prime factors of 406925?
5, 41, 397
What are the prime factors of 8960845?
5, 37, 48437
List the prime factors of 4504944.
2, 3, 127, 739
What are the prime factors of 10864426?
2, 41, 47, 2819
List the prime factors of 14340678.
2, 3, 11, 19753
What are the prime factors of 18790 | {
"pile_set_name": "DM Mathematics"
} |
-7755)/(-10). Round w to the nearest 100000.
3100000
Let m(w) = -5*w. Let x(k) = 1. Let q(r) = -m(r) - x(r). Let z be q(1). Let l be (-3)/12 - 3999/z. Round l to the nearest ten thousand.
0
Let g = 16918 + -17018.89. What is g rounded to zero dps?
-101
Let m = -12022.1900022 + 12022.2. Let u = -0.124 + 0.114. Let k = u + m. Round k to 6 decimal places.
-0.000002
Let w = 0.65 - 0.15. Let z = w - 0.61. What is z rounded to two decimal places?
-0.11
Let j = 2858 - 6491. Let d = 101 - -2182. Let x = j + d. What is x rounded to the nearest one hundred?
-1400
Let q = -10.3 + 5.7. Let n = -13.297912 + 8.69782. Let r = n - q. Round r to 5 decimal places.
-0.00009
Let r = 1.087 - 1.08696285. What is r rounded to six dps?
0.000037
Let n be 8/(-4) + (893 + 1)*10. Let m = n - -52062. What is m rounded to the nearest 10000?
60000
Let g = -4896 - -4895.2178. Let u = -0.08 - -0.87. Let f = g + u. Round f to three dps.
0.008
Let w = 12.7 + -12.69999843. Round w to six dps.
0.000002
Let l = -3.84 - -3.83982. Round l to 4 dps.
-0.0002
Let s = 1717.99259 - 1718. What is s rounded to 3 dps?
-0.007
Suppose 5*j = -5*f - 85980, 8*f - 5*f = 2*j + 34412. Round j to the nearest 1000.
-17000
Let s = -15 - -19.3. Let b = 4.300099 - s. What is b rounded to 5 decimal places?
0.0001
Let b = 61.92 + -63. Let n = b - -1.2. Let p = 0.08 + n. Round p to 1 dp.
0.2
Let d = -1530.998408 + 1531. What is d rounded to 4 decimal places?
0.0016
Let r = 17 + -16.78. Let c = 1.28 + r. Let l = -1.4872 + c. What is l rounded to three decimal places?
0.013
Let o = -2921317 + 2921433.9921. Let x = 249 + -132. Let v = o - x. What is v rounded to three dps?
-0.008
Let d(t) = -242104*t + 24. Let h(p) = -2*p + 19. Let w be h(19). Let n be d(w). What is n rounded to the nearest one hundred thousand?
4600000
Suppose 4*u - 4*w - 2536008 = 0, -3*u - w + 1167710 + 734288 = 0. Round u to the nearest 100000.
600000
Suppose -5*i + 2*i = -12. Suppose -i*a = 28563756 + 11836244. Round a to the nearest one million.
-10000000
Let z(i) = -4655*i**3 - 6*i**2 - 10*i + 8. Let x be z(-13). Let l = x - -1973841. Round l to the nearest 1000000.
12000000
Let x = -139.693442 + 139.7. What is x rounded to 3 dps?
0.007
Let g = -604.35 - -547. Let p = g - -0.35. Let l = p - -57.00031. What is l rounded to 4 decimal places?
0.0003
Suppose 0 = 4*a + z - 88895, 2*z = -3*a + 4*a - 22217. Let p = 1623 - a. What is p rounded to the nearest 1000?
-21000
Let c = -1.293 + -0.117. Let n = -1.481 - c. What is n rounded to 2 decimal places?
-0.07
Suppose -42 = -6*r + 3*r - 4*c, -28 = -2*r + 2*c. Let p = 22 - r. Let q be -10 + p - (0 - 40002). What is q rounded to the nearest 100000?
0
Let w = 540 + -538.556. Round w to 1 decimal place.
1.4
Let z = 0.67 + -61.67. Let l = z - -61.014. What is l rounded to two dps?
0.01
Let z = -1242.3 - -1240.3036. Let q = z - -2. Round q to three dps.
0.004
Let f = 452.340219 + -131.340573. Let s = f + -321. What is s rounded to five dps?
-0.00035
Let f = -25809026.1 + 25809169.100077. Let w = f + -143. Round w to 5 decimal places.
0.00008
Let c = 0.088 - 0.032. Let b = 19.256 - c. Round b to the nearest ten.
20
Let f = -2484.269 - -2482. Let t = 0.031 - f. What is t rounded to zero dps?
2
Let w = 0.28 + -0.43. Let g = w - -0.149983. What is g rounded to 5 decimal places?
-0.00002
Let m = -14.37 + 39.45. Let u = m + 3.12. Round u to the nearest integer.
28
Let c = -0.1306 - 0.4384. Let o = -1.287 - c. What is o rounded to 1 dp?
-0.7
Let t(y) = -y**2 - 14*y + 1. Let z be t(-13). Let x be (-1)/(-2) + 34999993/z. Round x to the nearest one million.
3000000
Let z = 28.27 - -7.84. Let r = -3.7 + -34.3. Let u = z + r. Round u to one dp.
-1.9
Let o = -3.338 - -3.11. What is o rounded to two dps?
-0.23
Let k = 10 - -13. Let d = k - 23.009. What is d rounded to 2 decimal places?
-0.01
Suppose -2*f = -4*f + 48. Suppose f = 5*r - r. What is r rounded to the nearest ten?
10
Let x = 7.81 - -0.19. Let l = 1.99 - 2.49. Let b = x - l. Round b to 0 decimal places.
9
Let m(h) = -h**3 - 24*h**2 + 2*h + 15. Let i be m(10). Let v = -7665 - i. Round v to the nearest 10000.
0
Let m = 1496.0001534 - 1496. Round m to five decimal places.
0.00015
Let t be ((-11)/(55/10))/((-8)/57360). What is t rounded to the nearest one thousand?
14000
Let q(o) = o**3 - 9*o**2 + 8*o - 6. Let g be (0/(-2))/(-3 - 0). Suppose g*j + 4*j - 12 = -3*c, -5*c = 3*j + 2. Let a be q(j). Round a to the nearest ten.
-70
Let m = -173 + 173.081. Let l = 5709533.08100078 + -5709533. Let u = m - l. What is u rounded to 7 dps?
-0.0000008
Let r(z) = -12*z - 23. Suppose -6 = -2*s, 3*s + s = -2*n + 4. Let w be r(n). What is w rounded to the nearest integer?
25
Let z = -97.4 + 96.13. Round z to 1 dp.
-1.3
Let x = 47.142 - 47. Let y = x - 0.1420216. Round y to six decimal places.
-0.000022
Suppose 6*g = 5*g - 4*g. Suppose g = 14*u - 12*u + 232000. Round u to the nearest ten thousand.
-120000
Let h(u) = -u + 1. Let i be h(5). Let g(l) = 239*l**2 + 3*l + 3. Let t be g(i). Let j = -1085 + t. Round j to the nearest 100.
2700
Let a be (11 + -1211)/(3/(-3070)). Suppose 12*z - 8*z - a = 0. Round z to the nearest ten thousand.
310000
Let o = 26.6 + -28.8. Let h = 164.49 - 162. Let g = o + h. Round g to one decimal place.
0.3
Suppose 7756630 = 81*o - 2816300. Round o to the nearest 10000.
130000
Let z = 29.3 - 5.3. Let x = z + -23.9999971. What is x rounded to six dps?
0.000003
Let f = -27 + 23. Let m be -4 + (0 - f) + -15246. Let o be (-4)/18 + m/(-81). Round o to the nearest 10.
190
Let t = 0.4 + -1.55. Let a = 10.35 + t. Let z = a - 9.20063. Round z to four dps.
-0.0006
Let n = 165009.22033 - -2.77967. Let l = -165012.099053 + n. Let s = -0.099 - l. Round s to five dps.
0.00005
Let r = 1117.99457 - 1118. What is r rounded to 4 decimal places?
-0.0054
Let o = 44.8 - 44.80351. Round o to 4 dps.
-0.0035
Let x = -0.15 + 1.85. Let y = 6.4012 - 4.70101. Let z = x - y. What is z rounded to five dps?
-0.00019
Let n = -554.00053 + 554. What is n rounded to four dps?
-0.0005
Let z = 10002377 - 10000702.0991. Let c = -1675 + z. Let g = c - -0.095. Round g to three dps.
-0.004
Let u = -45 + -11. Let c = u + 99. Let v = c + 107. What is v rounded to the nearest ten?
150
Let s = -67.9 - -62. Let d = s + 9.2. Let q = d - 3.3035. What is q rounded to three dps?
-0.004
Let m = -0.0439 + -0.0207. Round m to two decimal places.
-0.06
Let h = 5748.9996631 - 5749. Round h to five dps.
-0.00034
Let g = -0.8 + 0.814. Let q = 26.414 - g. Let m = 24 - q. Round m to the nearest integer.
-2
Let b be ((-240)/(-18))/((-2)/68460). What is b rounded to the nearest ten thousand?
-460000
Let b be (-3)/(24/40) - -87. What is b rounded to 0 decimal places?
82
Let w = -1795 + 1795.00001602. Round w to six dps.
0.000016
Let f = 5876 - 5875.67905. Let k = -0.32 + f. What is k rounded to four decimal places?
0.001
Let u = 0.3 + 37.7. Let n = u + -54. Let f = -15.99999972 - n. Round f to 7 decimal places.
0.0000003
Let f = 7827 - 7826.9999991493. What is f rounded to 7 dps?
0.0000009
Let l = -457 - -445.84. Let g = l + 0.16. Let a = -10.78 - g. What is a rounded to 1 decimal place?
0.2
Let q = 0.98 + 2.13. Let n = q + -0.11. Let c = -3.055 + n. Round c to two dps.
-0.06
Let j = -25 + 24.9582. What is j rounded to 2 dps?
-0.04
Suppose -5*w = -4*k + 38384, -3*k - 6314 = 3*w + 16738. Round w to the nearest one thousand.
-8000
Let f = 16 + -14. Let y(b) = -1012*b - 1. Let x be y(f). Let m = x - -605. Round m to the nearest one hundred.
-1400
Let b = -7.43529 - 787.53571. Let u = -788 - b. Let f = u - 7. Round f to 2 dps.
-0.03
Let x = 4.741 + 0.059. Let h = x + -4.80276. What is h rounded to 4 decimal places?
-0.0028
Let h = -23.01459 + -0.04941. Let f = 67 + -44. Let g = h + f. Round g to two decimal places.
-0.06
Let q = 6 - -5. Let i = -11.15 + q. Round i to one decimal place.
-0.2
Let w = 0.0605 + -14.2705. Round w to 0 dps.
-14
Let l = 695 + -695.0000643. What is l rounded to five decimal places?
-0.00006
Let n = -218.216 + 220. Round n to 2 dps.
1.78
Suppose 5*o - 2*g - 454499994 = 0, -2*o - 14*g = -9*g - 181800015. Round o to the nearest one million.
91000000
Let v = 595.676 + -597. Let z = v - -1.3. Round z to two decimal places.
-0.02
Let k = -134.9992688 - -135. Round k to 4 dps.
0.0007
Let w = - | {
"pile_set_name": "DM Mathematics"
} |
z**2
Let l(o) be the first derivative of 3*o**7/7 - 5*o**6/3 + 94*o**3/3 + 309. What is the third derivative of l(a) wrt a?
360*a**3 - 600*a**2
Let t(u) = -u**5 - 3*u**2. Let s be 9 + (0 - (5 - 1)). Let d(h) = 3*h**5 + 7*h**2. Let o(n) = s*t(n) + 3*d(n). What is the third derivative of o(y) wrt y?
240*y**2
Let t(g) = 3*g - 3. Let b(k) = -k**3 + 5*k**2 + 4*k + 1. Let f be b(6). Let j(v) = -6 - 2*v + 0*v + 8*v. Let a(x) = f*t(x) + 6*j(x). Differentiate a(u) wrt u.
3
Let a(h) be the second derivative of 3*h**6/10 - 3*h**5/10 + h**3/3 - 47*h**2 + 31*h. Find the second derivative of a(o) wrt o.
108*o**2 - 36*o
Suppose 13*x = 3*x + 20. Find the third derivative of 4*h**2 + 7*h**x + 9*h**5 - 27*h**5 wrt h.
-1080*h**2
Let d(h) be the third derivative of -5*h**8/336 + 79*h**6/120 + 7*h**4/24 - 7*h**3/6 - 483*h**2. What is the second derivative of d(k) wrt k?
-100*k**3 + 474*k
Suppose -g + 4*g - 12 = 0. What is the first derivative of -i + 6*i + g*i - 4 - 1 wrt i?
9
Let x(b) be the first derivative of 56*b**5/5 - 55*b - 78. Differentiate x(y) with respect to y.
224*y**3
Let i(a) = 387*a**4 - 7*a**2 - 320*a + 7. Let p(k) = 129*k**4 - 2*k**2 - 106*k + 2. Let b(t) = 2*i(t) - 7*p(t). Find the second derivative of b(h) wrt h.
-1548*h**2
Let n(w) be the second derivative of 11*w + w**4 + 0*w**3 + 0 - 2/5*w**5 + 0*w**2. Find the third derivative of n(x) wrt x.
-48
Find the second derivative of 565*g**5 + 12*g + 304 - 307 - 11*g wrt g.
11300*g**3
Let l(u) = -8*u + 40. Let y(k) = 1. Let p = -28 + 22. Let m be 2/4 - 3/p. Let g(a) = m*l(a) - 32*y(a). Differentiate g(f) wrt f.
-8
Let f(o) = o**2 + 2*o - 3. Let r = -9 - -5. Let b be f(r). Find the third derivative of -6*n**5 + 0*n**b + n**2 + 3*n**2 wrt n.
-360*n**2
Let b be 6/9 + (-44)/(-6). Suppose -4*p - 9 = -3*q, 3*q + 0 - 9 = -3*p. Find the third derivative of b*l**3 - 4*l**2 - 2*l**3 - l**q wrt l.
30
Let u = 70 + -59. Let b(r) = 75*r**3 - r - 11. Let d(f) = 25*f**3 - 4. Let i(v) = u*d(v) - 4*b(v). What is the second derivative of i(m) wrt m?
-150*m
Let f = -57 - -74. Differentiate 7 - f*m**3 + 29 + 2 with respect to m.
-51*m**2
What is the first derivative of -47 - 19 - 54 - 84 - 318*x wrt x?
-318
Let g(x) be the first derivative of -x**4/4 - 2*x**3/3 + x**2 - 3*x - 1. Let z be g(-3). What is the second derivative of -3*o**4 - o - o**4 + 5*o + z*o wrt o?
-48*o**2
Let n(w) = -5*w**4 - 6*w**3 - 56*w**2 + 6*w + 2. Let y(x) = -x**3 - x**2 + x. Let p(j) = n(j) - 6*y(j). What is the third derivative of p(d) wrt d?
-120*d
Let b(q) = -101*q**2 + 8*q - 3. Let s(j) = 51*j**2 - 4*j + 2. Let p(w) = -6*b(w) - 10*s(w). What is the second derivative of p(h) wrt h?
192
Let v be 4 + -1 + (-6)/(-3). Suppose 1 = m - v. Find the second derivative of -5*s**2 - 4*s + 7*s - m*s wrt s.
-10
Let x(m) be the first derivative of 45*m**2/2 + 90*m - 59. Differentiate x(j) wrt j.
45
Let r(h) = h - 7. Let g be r(9). Suppose -s = 3*b - b, 5*b + 5*s + 10 = 0. Find the second derivative of -m**4 - 3*m**4 - b*m + g*m**4 + m**4 wrt m.
-12*m**2
Let x(a) be the second derivative of -83*a**4/6 + 3*a**3/2 - 3*a**2 + 125*a. What is the second derivative of x(f) wrt f?
-332
Let p(t) be the second derivative of 9/2*t**2 + 0*t**4 + 0*t**3 - 3/10*t**5 + 8*t + 0. Differentiate p(u) with respect to u.
-18*u**2
Let y(w) be the third derivative of 17*w**6/120 + 4*w**5 + w**2 + 219. What is the third derivative of y(z) wrt z?
102
Let o be 1 + (4 - 3 - -2) - 2. What is the derivative of -8*c**2 + 2*c**2 + 5*c**o + 2*c**2 + 18 wrt c?
2*c
Let s(z) = 175*z - 270. Let f(t) = -171*t + 271. Let n(d) = 6*f(d) + 5*s(d). What is the first derivative of n(o) wrt o?
-151
What is the second derivative of -684*v + 330*v**3 + 235*v + 254*v wrt v?
1980*v
Find the first derivative of 202 - 20*o**3 - 50*o**3 - 57*o**3 - 54 wrt o.
-381*o**2
Let n be 3*1 - (12 - 14). Suppose -n*u - 3*h = -28, -2*u + 7*u + 4*h = 29. Find the second derivative of -4*b**5 - 4*b**5 - 2*b**u - 10*b wrt b.
-200*b**3
Let z(w) = 10 - 7*w**3 - 2*w + 6*w**2 - 25 + 15. Let n(d) = 20*d**3 - 17*d**2 + 6*d. Let f(j) = -6*n(j) - 17*z(j). Find the second derivative of f(b) wrt b.
-6*b
Suppose 2 = 2*p, -5*p + 2 = 2*a - 15. Let d(x) = -x + 10. Let n be d(a). What is the second derivative of u**n - 8*u + 2*u - 3*u**4 - 3*u wrt u?
-24*u**2
Suppose -3*x - 3*q + 8 = -13, x = 3*q - 13. Find the third derivative of 3*w**2 + 2*w**x + 12*w**6 + 5*w**2 - 9*w**2 wrt w.
1440*w**3
Suppose -21 + 0 = -3*j. Let h = j - 4. Find the first derivative of 1 + h*y**2 - 7 + 4*y**2 - y**2 wrt y.
12*y
Let u(n) be the first derivative of -441*n**4/4 - 249*n**2 + 65. Find the second derivative of u(m) wrt m.
-2646*m
Let n(o) be the third derivative of 2*o**7/105 + o**6/60 + 11*o**3 + 2*o**2 - 46*o. Differentiate n(c) with respect to c.
16*c**3 + 6*c**2
Find the second derivative of -162154*m**3 + 3*m + 162170*m**3 - 94 - 2*m**2 + m**2 wrt m.
96*m - 2
Differentiate 13*k**3 - 3*k**3 - 28*k**2 - 4*k**3 + 106 - 5*k**3 wrt k.
3*k**2 - 56*k
What is the second derivative of 5 - 47*o**4 - 7 + 2*o + 2*o**5 + 0 wrt o?
40*o**3 - 564*o**2
What is the second derivative of 96 + 139*r - 140*r - 51*r**2 - 25*r**2 - 62*r**2 wrt r?
-276
Let r(p) be the first derivative of 0*p + 0*p**4 + 19 + 33/2*p**2 - 7/5*p**5 + 0*p**3. What is the second derivative of r(h) wrt h?
-84*h**2
Suppose -p + 5*p = -24. Let r = p + 8. What is the third derivative of 0*o**6 - 3*o**2 + r*o**6 + 5*o**2 + 3*o**2 wrt o?
240*o**3
Let t(r) be the first derivative of 0*r**4 + 0*r - 31 + 5*r**5 - 23/2*r**2 + 0*r**3. What is the second derivative of t(w) wrt w?
300*w**2
What is the second derivative of -236425*n + 236191*n + n**2 - 4*n**2 wrt n?
-6
Suppose 0 = 5*y + 20, 2*y + 0*y = -3*g + 1. Suppose 24 = g*v + v. Find the first derivative of -11*x**4 + v*x**4 + 4 + 6 - 5*x**4 wrt x.
-40*x**3
What is the second derivative of -19*k**4 + 19*k**4 - 721 - 819*k**5 + 717 + 104*k wrt k?
-16380*k**3
Let f(r) = 1034*r**2 + 1128. Let w(y) = -86*y**2 - 94. Let q(v) = -4*f(v) - 47*w(v). What is the derivative of q(a) wrt a?
-188*a
Let b(g) = 0 - 4 + 5*g + 2 - 4. Let w(n) = -5*n + 7. Let i(v) = 5*b(v) + 6*w(v). Find the first derivative of i(k) wrt k.
-5
Suppose -44 = 10*c - 6*c. Let r = -8 - c. Differentiate -6*q + 9*q - q - r + 11*q with respect to q.
13
What is the second derivative of -106*b - 26*b**5 + 0*b**5 - 14*b**5 + 12*b wrt b?
-800*b**3
Let i(y) be the second derivative of y**8/120 + 13*y**6/360 - y**3 - 5*y. Let h(t) be the second derivative of i(t). What is the third derivative of h(l) wrt l?
336*l
Let m(g) be the second derivative of -3*g**5/20 - g**4/3 + g**3/3 - g**2 + 3*g + 1. What is the second derivative of m(r) wrt r?
-18*r - 8
Let l be ((-5)/10)/((-2)/(-4)). Let p be (l + (-3 - -5))*2. Find the third derivative of -3*g**p - g**2 - 4*g**4 - g**2 + 2*g**2 wrt g.
-96*g
Find the third derivative of 23 - 7*r**2 - 190*r**6 - 21*r**2 + 26*r**2 wrt r.
-22800*r**3
Let f(g) be the second derivative of 17*g**4 - 107*g**3/2 - 7*g - 10. Find the second derivative of f(y) wrt y.
408
Suppose 17 - 8 = 3*g, 2*u + 3 = 3*g. Let o(b) be the first derivative of 0*b**2 - 4/3*b**u + 5 - 12*b. What is the first derivative of o(q) wrt q?
-8*q
Let i(r) = r**2 - 3*r - 17. Let s be i(6). Let u(x) = 6*x**2 - 7. Let b(p) = -p**2. Let l(m) = s*u(m) - 2*b(m). Find the first derivative of l(y) wrt y.
16*y
Let v(u) = 212*u**3 - 33*u. Let y(a) = 213*a**3 - 33*a. Let t(m) = 3*v(m) - 4*y(m). Find the second derivative of t(r) wrt r.
-1296*r
Suppose 3*w = 15 - 0. Find the third derivative of -213*a + 2*a**w + 10*a**2 + 213*a wrt a.
120*a**2
Let t(g) be the third derivative of 13*g**6/120 + 4*g**4 + 30*g**2. Find the second derivative of t(z) wrt z.
78*z
Let l(u) be the second derivative of -231*u**5/20 - 26*u**4 + 48*u - 3. What is the third derivative of l(p) wrt p?
-1386
Suppose 7*n = 9 + 26. What is the second derivative of -n*x**3 + 24*x**3 - 7*x**3 - x - 9*x wrt x?
72*x
What is the first derivative of -383*q**3 - 21131*q + 64 + 21131*q - 370 wrt q?
-1149*q**2
Let d(t) be the second derivative of 0 - 13/12*t**4 + 0*t**3 + 7*t + 9/2*t**2. Differentiate d(a) wrt a.
-26*a
Let j(m) = m - 6. Let k be 42/3 - 1 - 0. Let v be j(k). What is the second derivative of -4*l**5 + 3*l**5 - l - v*l**5 + 0*l wrt l?
-160*l**3
| {
"pile_set_name": "DM Mathematics"
} |
(39/65)/(2/10). Suppose -2*q - 57 = -4*q - 3*y, -v*q = -5*y - 38. What is the remainder when q is divided by (-22)/(-3) - 6/(-9)?
5
Suppose -3*d + 32 = -0*i + i, 3*i = d + 136. What is the remainder when i is divided by 0 + (4 + 46)/5?
4
Let x = -11 - -40. Calculate the remainder when (x*-4)/(-2) - 0 is divided by (-6)/((-120)/385) + (-3)/(-4).
18
Let t be (-14)/(-6)*(1 - 2)*-3. Suppose -t*v + 32 = -5*v. What is the remainder when 79 is divided by v?
15
Suppose 4*k + 3 - 27 = 0. Let r(x) = x**2. What is the remainder when 69 is divided by r(k)?
33
Let f = 11 - 14. Let x be (-26)/f*(-26 - -8). Let w = 220 + x. What is the remainder when w is divided by 13?
12
Let a(s) be the second derivative of -s**5/20 + s**4/12 - 7*s**3/6 + 3*s**2 - 3*s. Let x be a(-6). What is the remainder when 42 is divided by 2/7 - x/(-28)?
9
Suppose 10 = -7*h + 206. What is the remainder when 978 is divided by h?
26
Let d(q) = q**3 + 15*q**2 + 11*q + 27. What is the remainder when d(-14) is divided by 12?
9
Calculate the remainder when 96 is divided by 12*13/3*1.
44
Let n be (-2)/10 + 1179/45. Let y = -22 + n. Calculate the remainder when 20 is divided by y.
0
Suppose -6*c = -3*t - 2*c + 855, t + 5*c = 266. Calculate the remainder when t is divided by 74.
59
Let g(k) = k**2 - k - 2. Calculate the remainder when 14/((-112)/24)*166/(-6) is divided by g(-5).
27
Suppose -2*j - 3*k = -32, 3*k + 2*k = 20. Suppose 3*q + 2*v = 20, 0 = q - 0*v - 2*v - 4. Let t(x) = x + 12. Calculate the remainder when t(q) is divided by j.
8
Suppose 0 = -5*f - 4*t + 437, f = 2*f + 3*t - 94. What is the remainder when f is divided by 89/3 - (-4)/(-6)?
27
Suppose -5*g - 2*y + 22 = -0*y, -4*g + 5*y = -44. Suppose 8*k + 9 = 345. Calculate the remainder when k is divided by 44/g*(-12)/(-8).
9
What is the remainder when (0 - (-1 - 60/9))*12 is divided by 33?
26
Let x(w) = w - 14. Let g be (-1 + 4)*25/15. Let b be x(g). Let c = b + 25. What is the remainder when 30 is divided by c?
14
Suppose -50 = -9*s - 5. Suppose -s*a = -12 - 73. Calculate the remainder when 66 is divided by a.
15
Let x = -78 - -175. What is the remainder when x is divided by 10?
7
Suppose -4*k + 48 = -24. Suppose 0*h + k = 3*h. Calculate the remainder when -6*3/((-27)/30) is divided by h.
2
Suppose -m + 22 = 5*t, 4*t = -0*m + 4*m + 8. Suppose t*r - 459 = r. Calculate the remainder when r is divided by 39.
36
Let h(f) = 2*f**2 - 2*f - 4. Let d = -9 - -13. Let z(j) = -j**2 - 12*j + 2. What is the remainder when z(-5) is divided by h(d)?
17
Let b be ((-1)/2)/(2/(-108))*1. Let h = b - 20. Suppose 5*a = s - 5*s + 118, -5*s - 93 = -3*a. Calculate the remainder when a is divided by h.
5
Let r(f) = 4*f + 25. What is the remainder when r(-4) is divided by (0 + -5)*(-6)/15?
1
Suppose -5*j + 3*z = z + 121, 0 = 2*j - 3*z + 55. Let c = -126 - -81. Let y = j - c. What is the remainder when y is divided by 8?
6
Suppose -4*p - 301 = -493. What is the remainder when p is divided by 21?
6
Let y be (4/(-6))/((-1)/(-3)). Let c = y - -3. Suppose 32*z + 1422 = 1486. What is the remainder when z is divided by c?
0
Let k(v) = -v**2 + 18*v - 54. What is the remainder when 70 is divided by k(13)?
4
Let u(r) = -5*r - 25. Let l be u(-6). Suppose l*t + 68 = 2*s + 9, t + 3 = 0. Calculate the remainder when 104 is divided by s.
16
Let h = 33 - 138. Let u = 0 - h. What is the remainder when u is divided by 36?
33
Suppose 5*i = -4*r - 0*i + 38, 2*r - 16 = -4*i. Calculate the remainder when 39 is divided by r.
3
Let y(j) = -j**2 - 9*j + 1. Calculate the remainder when y(-4) is divided by (1 + -2)/((-6)/78).
8
Let b(a) = -8*a + 42. What is the remainder when 84 is divided by b(3)?
12
Let l = 11 + -8. Suppose 2*h - l*h - 5 = 0, -5*m = -h - 25. What is the remainder when 20 is divided by 5 + m + (-1 - 1)?
6
Let u = -33 + 51. Let j be (-2)/(-5) - 24/(-15). Suppose -3*y - 5*n + 133 = 0, 0 = 2*y + j*n - 53 - 41. Calculate the remainder when y is divided by u.
15
Suppose 0*x - x + 5 = 0. What is the remainder when -31 + 34 + 3/(3/20) is divided by x?
3
Suppose 0 = -38*a + 253 + 203. Calculate the remainder when 1042 is divided by a.
10
Let v = 12 + 3. Let g(y) = -3*y. Let f(d) = 11*d - 10. Let m(r) = -f(r) - 5*g(r). Calculate the remainder when m(v) is divided by 18.
16
Let f = 24 + -16. Suppose 25 = -31*m + 36*m. Suppose -m*x + b + 111 = 0, 103 = 5*x - 6*b + 3*b. What is the remainder when x is divided by f?
7
Let k(u) = 28*u**2 - u + 1. Let a be k(1). Let q = a - 9. What is the remainder when q is divided by (-44)/(-572) + 284/26?
8
Let x be (-2)/((-9)/((-45)/(-2))). Suppose -x*q + 145 = -280. What is the remainder when q is divided by 29?
27
Suppose -4*c = -4 - 20. Let g(p) = -2*p - 2*p + 2*p + c*p + 4. What is the remainder when 95 is divided by g(7)?
31
Suppose 2*o = -4*t - 256 + 16, -2*o + 3*t = 212. Calculate the remainder when 53 is divided by (-1536)/o - 2/(-7).
11
Let b(f) = 7*f - 56. What is the remainder when b(18) is divided by 19?
13
Let j be (-355)/(-10)*(5 - 3). Let c = j - -7. Calculate the remainder when c is divided by 16.
14
Suppose -2*w - 5*w - 525 = 0. Let l = w - -87. What is the remainder when 34 is divided by l?
10
Let o = -303 + 316. Calculate the remainder when o is divided by 10.
3
Let s be 73 + (-4 - (-8)/(-1 + 2)). Let h = s + -74. Calculate the remainder when 10 is divided by h.
1
Let g = -41 + 33. Let z = g + 12. What is the remainder when 38 is divided by z?
2
Suppose 0 = 3*x - 6*x + 15. Suppose -4*c + 2*t + 116 = 0, x*t - 18 = -2*c + c. What is the remainder when 110 is divided by c?
26
Suppose -5*l - 12 = -9*l. Suppose 4*x = 2*g + 310, 0 = 4*x + l*g - 339 + 54. Suppose -5*i - 20 + x = 0. Calculate the remainder when 41 is divided by i.
8
What is the remainder when 263 + (2 - -11) + -9 is divided by 34?
29
Let u = 269 - 140. Let s = -23162 + 23188. Calculate the remainder when u is divided by s.
25
Let p(s) = s**2 + 5*s + 2. Let g be p(-5). Let m be 0 + (-208)/((-4)/g). Suppose -3*r - r = -m. What is the remainder when 49 is divided by r?
23
Suppose -3*c = 9*n - 13*n - 555, c = 3*n + 185. Calculate the remainder when c is divided by 6.
5
Let h = 368 - 329. Calculate the remainder when 68 is divided by h.
29
Suppose -13*b + 75 = -718. Suppose 0 = -2*k + 4*p - 0*p + 44, 0 = 5*p. Calculate the remainder when b is divided by k.
17
Let c(b) = b**2 + 2*b - 6. Calculate the remainder when c(5) is divided by (2 - 1)/((-18)/(-288)).
13
What is the remainder when 86 is divided by ((-180)/70)/(59/(-56) - -1)?
38
Suppose 0*i = i + 8. Let x = i - -15. Let c = 6 - -5. What is the remainder when c is divided by x?
4
Suppose 14*z = 12*z - 52. Calculate the remainder when 48 is divided by (z/39)/(1/(-6)) + 21.
23
Let r(t) = -t**2 + 18*t + 12. Let o be r(13). Suppose -29 + o = 4*v. What is the remainder when 46 is divided by v?
10
Let m = 9 - 6. Let y be (-2)/(12/m)*-194. Suppose 0*j - y = -5*j - s, 5*s - 48 = -2*j. What is the remainder when 54 is divided by j?
16
Let f(a) = -a**3 - 16*a**2 + 2*a + 16. Let u be f(-16). Let v = u - -33. Calculate the remainder when v is divided by 4.
1
Let c = -2661 - -2722. What is the remainder when 853 is divided by c?
60
Calculate the remainder when 184 is divided by (-3)/(-30) + 479/10.
40
Suppose -34*a + 443 = -30*a - g, 5*a - 558 = -3*g. What is the remainder when a is divided by 28?
27
Let h(d) = 20*d - 23. Let i be h(8). Suppose -5*x + i + 28 = 0. What is the remainder when 62 is divided by x?
29
Let k(i) = -23*i. Let z(j) = j + 3. What is the remainder when k(-6) is divided by z(7)?
8
Suppose c - 11 - 18 = 4*j, 0 = -2*c - j + 31. Let p(z) = -53*z + 12. Calculate the remainder when p(-2) is divided by c.
16
Suppose 0 = -6*k + 5*k + 45. Calculate the remainder when k is divided by 12.
9
Let g(x) = -6*x**2 - 264*x + 36. What is the remainder when 357 is divided by g(-44)?
33
What is the remainder when (-8 - (-5)/(-5))*(-9 - 2) is divided by 15?
9
Calculate the remainder when 41 is divided by (-22)/(-1)*1 + -11 + 10.
20
Let i = 4 - -28. What is the remainder when 67 is divided by i?
3
Let l be 1/((-4)/(-14 - -2)). Suppose 4*p - 2*n = 126, -l*n - 87 = -3*p + 15. What is the remainder when p is divided by 15?
14
Suppose -17004 = -315*b + 289*b. Calculate the remainder when b is divided by 166.
156
Let m = -167 + 7 | {
"pile_set_name": "DM Mathematics"
} |
)/(-1))/j). Calculate the highest common divisor of l and y.
8
Suppose -q + 42 = -0*q. Let b be (1936/55)/(-2 - q/(-20)). Calculate the highest common divisor of b and 32.
32
Suppose 10 = -2*v, -5*f + 0*f - v + 40 = 0. Let c be 2/f + 3558/27. Calculate the highest common factor of 12 and c.
12
Suppose 4*z + 3*c = -213, 295 = -6*z + z + 2*c. Let x be -4 + z/(-9)*3. What is the highest common factor of 6 and x?
3
Let c be ((-119)/(-14))/((-5)/(-80)). Calculate the greatest common factor of 68 and c.
68
Let c be ((-48)/(-10))/(27333/(-3420) - -8). What is the greatest common factor of c and 57?
19
Let k = 26 + -16. Let a(y) = 2*y - 4*y + 2 - 12. Let n be a(-6). What is the highest common factor of k and n?
2
Suppose -j = 3*m - 39, 2*j + 40*m - 41*m = 43. Calculate the highest common divisor of j and 156.
12
Let p = -1614 - -1620. What is the highest common divisor of p and 2274?
6
Suppose -57 = -4*p + 47. Let a be -5*(1 - p/5). Let t be 0 + a + (-6)/(-2). Calculate the greatest common factor of t and 4.
4
Let i(c) = -39*c - 248. Let g be i(-7). Calculate the greatest common divisor of g and 20.
5
Let m(p) = 47*p**3 - p**2 - p. Let i be m(2). What is the greatest common factor of 222 and i?
74
Let z = -15 - -106. Calculate the greatest common factor of z and 117.
13
Let i(q) = 2*q - 3. Let j be i(7). Let n be (-6)/2 + j + -1. Let t be (-1)/(-3) + 164/12. What is the greatest common divisor of t and n?
7
Let n(f) = -2*f**3 - 13*f**2 - 13*f + 17. Let s be n(-9). What is the greatest common factor of s and 49?
49
Suppose 2*j - 46 = -12. Let q(v) = v**2 + 10*v - 7. Let u be q(-12). What is the highest common divisor of u and j?
17
Suppose -o - 40 = -5*m, m + 3*m = -2*o + 46. What is the highest common factor of 153 and m?
9
Let r = 18 + -15. Let o be r - (1 + -4 - -4). Calculate the highest common factor of o and 8.
2
Let l(i) = i**2 - i + 16. Let t be (18/4)/(-1) + (-27)/(-54). Let v be l(t). Calculate the highest common factor of 8 and v.
4
Suppose -9 = l - 4*l. Suppose -4*z - y + 50 = 2*y, -l*z - 5*y = -32. What is the greatest common factor of 14 and z?
14
Suppose 2*b + 8*j - 36 = 4*j, 0 = 4*b + 3*j - 82. Let q = 5 + 17. Calculate the greatest common divisor of b and q.
22
Suppose 590 = 34*l - 1450. What is the greatest common divisor of l and 1260?
60
Let j be (-6)/(-15) + (-16)/(-10). Suppose -44 = -j*f + 28. Suppose -30*s = 72 - 192. Calculate the greatest common divisor of s and f.
4
Let k be 32/12*(-2898)/(-24). What is the highest common divisor of 42 and k?
14
Let r(h) = -h**3 - 16*h**2 - 8*h + 4. Let d be r(-16). Calculate the highest common factor of 192 and d.
12
Let g = 92 - 66. Let y = 9 + 17. Suppose -d + y = 2*k - 3*d, 13 = k - 2*d. Calculate the greatest common factor of k and g.
13
Let u(p) = -2*p**2 + 76*p + 89. Let j be u(39). What is the highest common factor of j and 4?
1
Let l = 15 - 43. Let y be (70/8)/((-7)/l). Calculate the highest common factor of 7 and y.
7
Let j = 2 - -5. Suppose -w = 4*r - 256, 35 + 36 = r + 2*w. What is the highest common factor of j and r?
7
Let n be 48 + (-12)/6 + -1. Calculate the highest common factor of 15 and n.
15
Let s = 14 + 1. Suppose 3*p + p - 3*x = 72, -2*p + x = -34. Let q be -10*(0 + (3 - p)). Calculate the highest common factor of s and q.
15
Let k(w) = 94*w - 2712. Let n be k(29). Suppose 5*t - 47 = 23. Calculate the greatest common divisor of t and n.
14
Suppose -2*m = 0, -m - 8 = -3*y + 13. Suppose -y*u = -5*u - 30. What is the greatest common factor of 3 and u?
3
Let y = 126 + 36. Let l = 45 - 27. Calculate the greatest common divisor of y and l.
18
Let z = -1065 + 1777. What is the highest common factor of z and 8?
8
Suppose 3*w - 3*p - 15 = -3, 0 = 4*p + 8. Suppose 6*z = 11*z - 820. Let j = -162 + z. Calculate the greatest common factor of j and w.
2
Let n be 5 - (-5 + 7)*(-1676)/8. Calculate the highest common divisor of n and 8.
8
Suppose 7*n - 146 + 6 = 0. Suppose -8*b = -4*b - 320. Calculate the highest common divisor of n and b.
20
Suppose 9 - 5 = p. Let k be (-2 + 2 - -16)*p. Let b = k - 22. What is the greatest common divisor of b and 28?
14
Let a(k) = -k**2 + 25*k - 38. Let n be a(6). Calculate the greatest common factor of 988 and n.
76
Suppose -3*j - 2*j - 870 = 0. Let m be j/(-14) - 30/70. What is the highest common divisor of m and 12?
12
Let r = -331 + 388. Calculate the highest common divisor of r and 114.
57
Let z be ((3 - 7) + 10)*-7. Let w be (6/(-4))/(7/z). What is the highest common factor of w and 9?
9
Suppose -7 - 11 = -5*o + 3*z, -9 = -4*o - 3*z. Suppose 5*c + 246 = 3*q, q + 157 = o*q - c. Let h = 2 + 9. What is the greatest common divisor of h and q?
11
Let i(l) = -l**2 + 13*l + 9. Let q be i(13). What is the highest common divisor of q and 63?
9
Let q be 1 + -3 + -3 + 3. Suppose f + n - 4 = 0, 2*f + n - 16 = -2*f. Let a be q/3*(-102)/f. Calculate the highest common divisor of 34 and a.
17
Let t = -227 - -265. Calculate the greatest common divisor of t and 304.
38
Suppose -13*w + 2016 = -909. Calculate the highest common factor of w and 600.
75
Let z be 8/16*318/3. What is the greatest common divisor of 212 and z?
53
Suppose -5*a - 409 = 5*p - 1449, 0 = -p + 3*a + 216. What is the greatest common factor of p and 70?
70
Suppose 2*q + 8 = n - 3, 0 = -3*n - q + 40. What is the highest common divisor of 52 and n?
13
Suppose 4*f + 3*t - 483 = 0, -2*t - 358 = -0*f - 3*f. Suppose 0*a = 5*a - f. Calculate the greatest common factor of a and 192.
24
Suppose -1 = -16*h - 1. Suppose h = -w, -5*q + 0*q + 4*w + 160 = 0. What is the highest common divisor of 16 and q?
16
Suppose 216 = 8*k - 5*k. Let r = 88 - k. What is the greatest common factor of r and 112?
16
Suppose -q = 3*x - 18, 4*q = -0*x - x + 116. Suppose 3*b = 3*l + 178 - 1, -b + 4*l + 56 = 0. What is the highest common divisor of b and q?
30
Let p = -109 - -354. Calculate the highest common factor of 280 and p.
35
Let r(n) = 12*n**3 - 4*n**2 - 2. Let a be r(3). Let d = -130 + a. What is the highest common factor of 39 and d?
39
Suppose 2*w + p - 123 = 0, 162 = 4*w + 5*p - 75. What is the greatest common divisor of 14 and w?
7
Let b = 9 - 106. Let z = b - -102. What is the greatest common factor of 5 and z?
5
Suppose 8 = 2*l - 10. Let f = l - 15. Let p be (2 + 1)*(-8)/f. What is the highest common factor of 10 and p?
2
Let u = 6 + -4. Let n(t) = t**2 - 19*t + 36. Let b be n(17). Suppose -z - 13 = -2*m, m + b*z - 20 = -u*z. Calculate the highest common divisor of m and 8.
8
Let s = -29 - -19. Let o = s - -26. What is the greatest common divisor of o and 16?
16
Suppose 51894 = -1148*z + 1166*z. What is the highest common divisor of 93 and z?
93
Let k be (-4)/(-26) + 2/(-13). Suppose 4*p - 6*p - 242 = k. Let n = 247 + p. What is the greatest common divisor of n and 18?
18
Let p be 48/((15/6 - 2) + 1). Let h = 6 - 3. Let c(a) = a**2 - 3*a + 4. Let d be c(h). Calculate the greatest common factor of d and p.
4
Let g(z) = -5*z. Let y = -18 + 17. Let u be g(y). Suppose u*i = -59 + 259. Calculate the greatest common divisor of 16 and i.
8
Suppose -3*h = w + 3*w - 12, 0 = 5*h. Let l be 4*(w - 39/12). Let v be l/(-5) + 1279/5. What is the highest common factor of v and 32?
32
Suppose -8*d + 2*m - 11 = -13*d, -3*d + 11 = -m. Calculate the highest common divisor of d and 21.
3
Let j(m) = -m + 12. Let i be j(9). Suppose 0*g - 5*g + 30 = -s, 3*g + 36 = -i*s. Let h be (6/s)/((-1)/15). What is the greatest common divisor of 2 and h?
2
Let p = -41 - -52. Suppose p*j = 507 + 21. What is the highest common divisor of j and 120?
24
Let l be 41 - (3 + -7 + 4)/3. Calculate the greatest common factor of 246 and l.
41
Let t = 262 - 122. Suppose 3*w - 2*w + 5*g = 25, 4*w + 4*g = 36. Suppose -2*s + 2*l + 26 = -s, 94 = w*s + 2*l. Calculate the greatest common divisor of t and s.
20
Let o be 3/1 - (-5)/(-5). Let r be (0 + o)*(-130)/(-20). Let k = r + 15. What is the highest common factor of 140 and k?
28
Let g(q) = -10*q**3 + q**2 + 6*q + 5. Let k be g(-5). Calculate the highest common divisor of 10 and k.
10
Let h = 1931 - 1915. Calculate the greatest common factor of h and 5392.
16
Suppose 0 = -3*n, -4*n - 32 - 2 = -2*z. Calculate the highest common divisor of 1 and z.
1
Suppose 3*u = -3*f - 3, 0 = 5*f - u - 6 - 19. Let x be -6*((-980 | {
"pile_set_name": "DM Mathematics"
} |
- 6*z - 11*z**4 + 8*z**4 - z**3 = 0.
-1, 1
Let m(f) be the first derivative of 1/16*f**4 + 0*f**2 + 0*f - 3 + 0*f**5 + 0*f**3 - 1/24*f**6. Suppose m(z) = 0. Calculate z.
-1, 0, 1
Let q(n) = 5*n**2 + 6*n + 5. Suppose h - 4 = 2*h. Let f(r) = 14*r**2 + 17*r + 14. Let a(z) = h*f(z) + 11*q(z). Let a(c) = 0. What is c?
-1
Suppose 2*n = -4*d + 56, -3*n = -d + 2*n - 8. Suppose -d = 5*s + 4*m, 2*m + 3 = -3. Find y, given that 5/2*y**4 + y**5 - 1/2*y**2 - 1/2*y + s + 3/2*y**3 = 0.
-1, 0, 1/2
Let k be (2/3)/(-1 - 119/(-105)). Let g(h) be the third derivative of -h**2 - 1/120*h**6 + 0*h**4 + 0*h + 0*h**3 + 0 + 1/60*h**k. Factor g(p).
-p**2*(p - 1)
Let b(d) be the third derivative of d**5/15 + d**4 - 14*d**3/3 + 11*d**2. Determine m, given that b(m) = 0.
-7, 1
Let b be 12/45*25/10. Let -1/3*v**2 + b*v - 1/3 = 0. Calculate v.
1
Let q be 2/6 - (-5)/(-15). Suppose -v = -q*v. Factor -1/3*o**2 + 2/3*o + v.
-o*(o - 2)/3
Let c(r) be the first derivative of 4*r**5/5 - r**4 - 12*r**3 - 22*r**2 - 16*r + 2. Solve c(o) = 0.
-1, 4
Let i(u) = -3*u**2 + 3. Let h(m) = 9 - 5 - 4*m**2 + 0. Let c(o) = -2*h(o) + 3*i(o). Factor c(d).
-(d - 1)*(d + 1)
Let b(u) = 144*u**3 + 78*u**2 - 27*u + 27. Let d(v) = 11*v**3 + 6*v**2 - 2*v + 2. Let n(i) = -2*b(i) + 27*d(i). Factor n(c).
3*c**2*(3*c + 2)
Suppose 2*g = g + 2. Let d(f) be the second derivative of -f + 0 + 1/24*f**4 - 1/6*f**3 + 1/4*f**g. Determine r so that d(r) = 0.
1
Let p(z) be the third derivative of -z**8/840 - z**7/75 - z**6/20 - 13*z**5/150 - z**4/15 + 31*z**2. Determine n, given that p(n) = 0.
-4, -1, 0
Let j be 105/1050 - 22/(-5). Determine a, given that -3 - j*a - 3/2*a**2 = 0.
-2, -1
Find k such that -3/2*k - k**2 + 0 + 1/2*k**3 = 0.
-1, 0, 3
Let p(d) be the first derivative of -3 + 0*d**3 + 0*d**2 + 2/5*d**5 + 0*d + 1/2*d**4. Factor p(w).
2*w**3*(w + 1)
Solve 8*h**2 + 10*h**2 - 1 - 2 + 10*h**3 + 14*h + 2*h**4 + 7 = 0.
-2, -1
Let a(x) be the second derivative of -x**6/12 - x**5/20 - 12*x. Find q such that a(q) = 0.
-2/5, 0
Let r(g) = 5*g**5 - 8*g**4 - 25*g**3 + 8*g**2 + 40*g + 17. Let m(j) = -j**4 + j**2 - 1. Let c(o) = -3*m(o) + r(o). Factor c(u).
5*(u - 2)**2*(u + 1)**3
Let k(w) = 12*w**4 + 42*w**3 + 48*w**2 + 18*w. Let m(t) = t**3 + t**2 - t - 1. Let d(o) = -k(o) + 3*m(o). Factor d(s).
-3*(s + 1)**3*(4*s + 1)
Let b(l) be the first derivative of l**6/33 - 3*l**4/22 - 4*l**3/33 - 17. Solve b(a) = 0 for a.
-1, 0, 2
Let w(g) be the first derivative of -2*g**5/15 - 5*g**4/12 - 2*g**3/9 + 11. Let w(u) = 0. Calculate u.
-2, -1/2, 0
Let j(y) = -5*y**2 + 7*y - 3. Let b be j(-7). Let l be 1/(-5) + b/(-385). Factor -6/7*k**3 - l*k**2 + 2/7*k + 0.
-2*k*(k + 1)*(3*k - 1)/7
Let q(p) = 2*p**4 + 2*p**3 - 2*p**2 + 3*p. Let a(w) = 3*w**4 + 2*w**3 - 3*w**2 + 2*w. Let n(u) = 5*a(u) - 4*q(u). Let n(y) = 0. Calculate y.
-1, -2/7, 0, 1
Factor 8*c + 1/3*c**3 - 3*c**2 - 16/3.
(c - 4)**2*(c - 1)/3
Let m = -12 - -17. Factor 46*x**3 - 2*x + 10*x**3 + m*x**2 - 4 - 2*x**2 + 37*x**2.
2*(2*x + 1)**2*(7*x - 2)
Let z be (-297)/154*(1 - 23/3). Factor 48/7*s + 8/7 + 50/7*s**3 + z*s**2.
2*(s + 1)*(5*s + 2)**2/7
Let i(l) be the third derivative of -l**6/480 + l**4/8 - 2*l**3/3 - 10*l**2. Find n such that i(n) = 0.
-4, 2
Let j(q) be the first derivative of 25*q**6/9 - 4*q**5 - 11*q**4/6 + 8*q**3/3 + 4*q**2/3 - 7. Determine l, given that j(l) = 0.
-2/5, 0, 1
Let b(r) = r + 2. Let k be b(-8). Let d be k/(-27) - (-2)/(-9). Factor 2/3*p**3 - 2/3*p + d + 0*p**2.
2*p*(p - 1)*(p + 1)/3
Solve -4 + 6*i**2 + 2*i**3 + 4*i - i**4 + 0*i**2 + 9*i**2 - 4*i**4 = 0.
-1, 2/5, 2
Let x be -2*(-5 - (-49)/14). Factor 9/5*o + 6*o**2 + 1/5 + 33/5*o**4 + 9/5*o**5 + 46/5*o**x.
(o + 1)**3*(3*o + 1)**2/5
Let i = -2/77 - -85/308. Suppose 4*u - 28 = 2*b - 6*b, 2*u + 16 = 4*b. Factor 1/2*x**3 + 1/4 - 1/2*x**u + 1/4*x**4 - i*x - 1/4*x**5.
-(x - 1)**3*(x + 1)**2/4
Suppose 0 = 4*d - 7*d - 630. Let u be (-1029)/d - (-2)/(-5). Solve -7/2*k**4 + u*k + 5/2*k**2 + 1 - 9/2*k**3 = 0.
-1, -2/7, 1
Let f(o) be the second derivative of o**8/336 - o**6/40 + o**5/30 - 3*o**2 + o. Let m(b) be the first derivative of f(b). Factor m(i).
i**2*(i - 1)**2*(i + 2)
Let n(j) be the third derivative of -j**6/180 - j**5/30 + 4*j**3/9 - 27*j**2. Determine v, given that n(v) = 0.
-2, 1
Let y = 148/99 - 14/11. Let 2/9*g**2 + y*g + 0 = 0. What is g?
-1, 0
Let v(x) = -x**3 + 7*x**2 - x + 10. Let l be v(7). Let s = l + -3. Let -1/3*n**2 - 4/3*n**3 + s + 0*n = 0. What is n?
-1/4, 0
Let h be 1/2*(-24 + 27). Factor 0*j**4 - h*j + 0*j**2 - 3/2*j**5 + 0 + 3*j**3.
-3*j*(j - 1)**2*(j + 1)**2/2
Let u(t) = -t**2 - 5*t - 4. Let o be u(-4). Let g be o - (0 - 3 - -1). Factor -2*z**g + 1 + 4*z + 0*z**2 - 3.
-2*(z - 1)**2
Let m(g) be the third derivative of g**8/1008 + 2*g**7/315 + g**6/90 + 15*g**2. Find z such that m(z) = 0.
-2, 0
Let y = 15 + -179/12. Let r(h) be the first derivative of -3 + 1/8*h**2 + 0*h - y*h**3. Factor r(o).
-o*(o - 1)/4
Let o = 143/672 - -7/96. Factor 2/7*x**2 + o*x - 4/7.
2*(x - 1)*(x + 2)/7
Let b(y) = 4*y**2 + 4*y - 14. Let t(w) = 1. Let o(n) = b(n) + 6*t(n). Factor o(q).
4*(q - 1)*(q + 2)
Let t = 448/2771 - -12/163. Factor 0 + t*s - 2/17*s**2.
-2*s*(s - 2)/17
Let z be 6/(-3)*-5*(-9)/(-270). Factor z*m**2 + 0*m + 0.
m**2/3
Factor 81*m + 189*m**2 - 53 - 36 - 3 - 70 + 9*m**4 + 75*m**3.
3*(m + 3)**3*(3*m - 2)
Suppose 0 = -5*j + 4*w + 26, -5*j - 2*w = -16 - 16. Let s(g) be the second derivative of 0*g**4 + 0*g**5 + 0*g**3 + 0 - 2*g + 0*g**2 - 1/120*g**j. Factor s(r).
-r**4/4
Let b be 0/(1*(0 - 1)). Factor 4*h**2 - h**3 - 3*h**2 + h**4 + b*h**4 - 3*h**2.
h**2*(h - 2)*(h + 1)
Let -o - 5*o**2 + 5*o**3 - 5*o**2 - 20 - 34*o = 0. Calculate o.
-1, 4
Let j be 14*(-1)/(-2) - 2. Suppose 4*c = -3*f + 5, -j = -0*c - 2*c + f. Determine i so that -2*i**2 - 2*i + i**2 + 4*i**c + 4 - 6*i = 0.
2/3, 2
Suppose -4*k = -m - 17, 5*k = 3*m - 0*m + 16. Let j(n) be the third derivative of 1/96*n**4 + n**2 + 0*n - 1/24*n**m + 0 + 1/240*n**5 - 1/480*n**6. Factor j(h).
-(h - 1)**2*(h + 1)/4
Let q(o) = -2*o**3 + 3*o**2 + 5*o + 6. Let u be 4/(-6) + 70/6. Let x(w) = -4*w**3 + 6*w**2 + 9*w + 11. Let t(j) = u*q(j) - 6*x(j). Factor t(v).
v*(v - 1)*(2*v - 1)
Let b(o) = o**3 - 6*o**2 + 15*o - 48. Let z be b(5). Find c, given that -2/3*c + 0*c**3 - 1/3*c**4 + 0 + c**z = 0.
-2, 0, 1
Factor 1/4*r**2 + 0*r + 0*r**3 + 0 - 1/4*r**4.
-r**2*(r - 1)*(r + 1)/4
Let q(z) = z**3 - 4*z**2 + 4*z + 1. Let c be q(3). Solve -k + k + 2*k**2 + 2*k - c*k - 4 = 0.
-1, 2
Let d(r) be the second derivative of 2*r**4/33 - 4*r**3/33 + r**2/11 - 17*r + 3. Factor d(h).
2*(2*h - 1)**2/11
Let k be (-10)/(-2) + 238/(-51). Factor h - h**2 - k + 1/3*h**3.
(h - 1)**3/3
Let b = 2 - 30. Let y be 0 - 0 - 7/b. Solve 1/2 - 1/4*l**2 - y*l = 0 for l.
-2, 1
Factor -u + 10 + 7*u**2 + 6*u - 2*u**2 + 10*u.
5*(u + 1)*(u + 2)
Suppose 4*t - 13 - 7 = 0. Let d be (t/(-2))/(5/(-10)). Determine j, given that 28*j**3 + 51*j + d*j + 60*j**2 + 16 - 10*j**3 = 0.
-2, -2/3
Let x(k) = -4*k**2 - 6*k + 10. Let s(o) = -5*o**2 - 6*o + 11. Let d(t) = 6*s(t) - 7*x(t). Factor d(r).
-2*(r - 2)*(r - 1)
Let y = -10 - -12. Factor -15*g - 3 + 21*g - y*g**2 - g**2.
-3*(g - 1)**2
Factor 7*l**2 + 2*l**2 + 2*l**2 - 8*l**2.
3*l**2
Suppose 5*o - 4*o = 0, t = 4*o. Let c(g) be the first derivative of -1/2*g**2 - 2/3*g**3 + t*g + 1 - 1/4*g**4. Factor c(l).
-l*(l + 1)**2
Let o(v) be the first derivative of -v**5/70 + v**4/42 + 2*v**3/21 - 6*v - 5. Let t(b) be the first derivative of o(b). Factor t(k).
-2*k*(k - 2)*(k + 1)/7
Let a(u) be the third derivative of -1/360*u**6 - 1/90*u**5 + 1/315*u**7 + 0*u + 0 + 1/72*u**4 + 0*u**3 - 9*u**2. Suppose a(k) = 0. What is k?
-1, 0, 1/2, 1
Let z = 18/257 - 6235/4626. Let y = 1/18 - z. Factor -1/3*c**2 + 4/3*c - y.
-(c - 2)**2/3
Let o(s) be the first derivative of 9*s**5/25 + 3*s**4/4 - 14*s**3/5 - 6*s**2 + 24*s/5 - 31. Let o(k) = 0. Calculate k.
-2, 1/3, 2
Let r(i) = -i**2 + 2*i - 1. Let y be r(3). Let u = y - -7. Factor -l**2 - 3*l**2 - 6*l**3 + 1 + u*l**2 + 2*l**3 + 4*l.
-(l - 1)*(l + 1)*(4*l + 1)
Let y(c) = -2*c**2 - 9*c + 1. Let j(o) = -3*o**2 - 14*o + 1. Let i(v) = -5*j(v) + 8*y(v). Solve i(m) = 0.
-3, 1
Let w(r) be the second derivative of r**10/60480 - r**8/6720 + r**6/1440 + r**4/4 - 2*r. Let g(k) be the third derivative of w(k). Factor g(n).
n*(n - 1)**2*(n + 1)**2/2
| {
"pile_set_name": "DM Mathematics"
} |
ext term in -94, -416, -950, -1696, -2654, -3824, -5206?
-6800
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488
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6279
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4932
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175070
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What is the next term in -331912, -331913, -331914, -331915, -331916, -331917?
-331918
What is the next term in -997, -8039, -27151, -64369, -125729, -217267?
-345019
What is next in 1243, 1343, 1509, 1741, 2039?
2403
What is next in 850543, 850544, 850545, 850546?
850547
What is next in -12193, -12190, -12179, -12154, -12109, -12038, -11935, -11794?
-11609
What comes next: -2321, -2325, -2329, -2333, -2337, -2341?
-2345
What is the next term in -36431, -36515, -36597, -36677, -36755?
-36831
What is next in -43868, -43874, -43880, -43886, -43892?
-43898
What is next in -537, -877, -1217, -1557, -1897, -2237?
-2577
What is next in -329, -335, -389, -515, -737, -1079, -1565, -2219?
-3065
What is next in 55155, 55153, 55151?
55149
What is next in 6531, 6521, 6511, 6501, 6491, 6481?
6471
What is the next term in 1654, 2040, 2426, 2812, 3198, 3584?
3970
What is the next term in 323, 751, 1419, 2447, 3955, 6063, 8891?
12559
What is the next term in 594, 519, 444?
369
What is next in 9935, 9930, 9925, 9920, 9915, 9910?
9905
What is next in 48, 137, 372, 825, 1568, 2673, 4212, 6257?
8880
What is the next term in 6529, 6611, 6693, 6775?
6857
What is the next term in 2438216, 2438215, 2438212, 2438207?
2438200
What comes next: 209, 825, 1851, 3293, 5157, 7449, 10175, 13341?
16953
What comes next: 142425, 142426, 142427, 142428, 142429?
142430
What comes next: -2634, -2622, -2602, -2574, -2538, -2494, -2442?
-2382
What is the next term in 43878, 43881, 43884, 43887, 43890, 43893?
43896
What is next in -1832, -3613, -5402, -7205, -9028?
-10877
What is the next term in 15, 274, 785, 1548, 2563, 3830, 5349?
7120
What comes next: -104, -91, -2, 199, 548, 1081?
1834
What comes next: 153, 435, 847, 1389, 2061, 2863, 3795?
4857
What comes next: 2875, 2872, 2855, 2818, 2755?
2660
What is next in -936, -3567, -7960, -14121, -22056?
-31771
What comes next: -653, -508, -373, -254, -157, -88, -53, -58?
-109
What is next in -676, -556, -436, -316?
-196
What is the next term in -65867, -65870, -65863, -65840, -65795, -65722, -65615?
-65468
What comes next: -3314, -6629, -9944, -13259, -16574, -19889?
-23204
What comes next: 986, 1962, 2938?
3914
What comes next: -1302, -1306, -1310, -1314, -1318, -1322?
-1326
What comes next: 2630, 10482, 23562, 41864, 65382?
94110
What comes next: -522, -561, -628, -723?
-846
What comes next: -8693, -8683, -8673, - | {
"pile_set_name": "DM Mathematics"
} |
he remainder when 84201 is divided by 3872?
2889
Calculate the remainder when 1662484 is divided by 78.
70
Calculate the remainder when 401753 is divided by 5414.
1117
What is the remainder when 64261 is divided by 7962?
565
What is the remainder when 15936974 is divided by 9?
8
What is the remainder when 22615433 is divided by 33?
5
What is the remainder when 25019761 is divided by 61173?
4
What is the remainder when 23890862 is divided by 1039?
96
What is the remainder when 350308 is divided by 11878?
5846
What is the remainder when 56202 is divided by 39173?
17029
What is the remainder when 76617 is divided by 38286?
45
Calculate the remainder when 2193087 is divided by 1111.
1084
Calculate the remainder when 691944 is divided by 445.
414
What is the remainder when 1612334 is divided by 106?
74
Calculate the remainder when 62074 is divided by 8780.
614
What is the remainder when 81792477 is divided by 2331?
18
Calculate the remainder when 16966 is divided by 999.
982
What is the remainder when 31060800 is divided by 1785?
15
What is the remainder when 17558 is divided by 14284?
3274
What is the remainder when 96674 is divided by 2288?
578
Calculate the remainder when 3355429 is divided by 188.
5
What is the remainder when 113124 is divided by 1380?
1344
What is the remainder when 2112 is divided by 1916?
196
Calculate the remainder when 974129 is divided by 276.
125
Calculate the remainder when 4510277 is divided by 457.
144
Calculate the remainder when 19989 is divided by 404.
193
What is the remainder when 11059085 is divided by 3686359?
8
What is the remainder when 49855348 is divided by 164539?
31
What is the remainder when 595118 is divided by 21?
20
Calculate the remainder when 1553163700 is divided by 91.
88
What is the remainder when 67425139 is divided by 59?
57
Calculate the remainder when 851435 is divided by 212827.
127
Calculate the remainder when 1177018 is divided by 3748.
146
Calculate the remainder when 1422698 is divided by 7.
4
Calculate the remainder when 372745 is divided by 2271.
301
Calculate the remainder when 215514 is divided by 53859.
78
What is the remainder when 591960 is divided by 84?
12
What is the remainder when 164348224 is divided by 14?
12
Calculate the remainder when 158664689 is divided by 54.
53
What is the remainder when 88626658 is divided by 4688?
18
Calculate the remainder when 2362386 is divided by 214762.
4
What is the remainder when 14898069 is divided by 5?
4
Calculate the remainder when 76140 is divided by 18933.
408
Calculate the remainder when 674948 is divided by 4588.
512
Calculate the remainder when 1075259 is divided by 1559.
1108
Calculate the remainder when 1471794 is divided by 781.
390
What is the remainder when 7148560 is divided by 17?
9
Calculate the remainder when 4327754 is divided by 8074.
90
Calculate the remainder when 4421885 is divided by 2076.
5
What is the remainder when 40173516 is divided by 739?
737
Calculate the remainder when 34878827 is divided by 70.
67
What is the remainder when 13084656 is divided by 21?
18
Calculate the remainder when 28137 is divided by 287.
11
Calculate the remainder when 2281368 is divided by 253482.
30
Calculate the remainder when 10071309 is divided by 10071297.
12
Calculate the remainder when 2618952 is divided by 1643.
10
Calculate the remainder when 68587118 is divided by 186378.
14
Calculate the remainder when 874704 is divided by 2.
0
What is the remainder when 16202438 is divided by 26?
18
What is the remainder when 403887 is divided by 6620?
67
What is the remainder when 129987 is divided by 5492?
3671
Calculate the remainder when 210073092 is divided by 2401.
2399
Calculate the remainder when 1237765 is divided by 758.
709
Calculate the remainder when 5194164 is divided by 934.
190
What is the remainder when 348493 is divided by 302?
287
Calculate the remainder when 689769 is divided by 945.
864
What is the remainder when 16535 is divided by 188?
179
Calculate the remainder when 14502 is divided by 2781.
597
Calculate the remainder when 66446 is divided by 22136.
38
Calculate the remainder when 3280520 is divided by 48.
8
Calculate the remainder when 117733 is divided by 1198.
329
What is the remainder when 10332514 is divided by 684?
10
Calculate the remainder when 6125794 is divided by 302.
26
Calculate the remainder when 313028 is divided by 155648.
1732
Calculate the remainder when 61952320 is divided by 31.
29
Calculate the remainder when 3701 is divided by 3640.
61
What is the remainder when 70887632 is divided by 45?
32
Calculate the remainder when 148336 is divided by 32.
16
What is the remainder when 31750350 is divided by 901?
11
What is the remainder when 34321201 is divided by 19?
0
What is the remainder when 40325998 is divided by 41?
38
What is the remainder when 19753832 is divided by 3199?
7
Calculate the remainder when 383682 is divided by 529.
157
Calculate the remainder when 304877 is divided by 38093.
133
What is the remainder when 550414 is divided by 78330?
2104
Calculate the remainder when 27269 is divided by 416.
229
What is the remainder when 25509 is divided by 6886?
4851
Calculate the remainder when 371919 is divided by 371919.
0
Calculate the remainder when 8406591 is divided by 1918.
1915
Calculate the remainder when 1011288 is divided by 53204.
412
Calculate the remainder when 2392513 is divided by 794.
191
What is the remainder when 50530346 is divided by 1950?
1946
What is the remainder when 58176 is divided by 104?
40
Calculate the remainder when 143875272 is divided by 42.
30
Calculate the remainder when 12313077 is divided by 181.
9
What is the remainder when 89623 is divided by 22120?
1143
Calculate the remainder when 49722 is divided by 3161.
2307
What is the remainder when 10858537 is divided by 17542?
39
Calculate the remainder when 26658734 is divided by 39.
11
What is the remainder when 171975 is divided by 1749?
573
Calculate the remainder when 2070018 is divided by 750.
18
What is the remainder when 3208976 is divided by 38662?
30
Calculate the remainder when 3388052 is divided by 34928.
36
What is the remainder when 11035928 is divided by 943?
942
Calculate the remainder when 114822973 is divided by 14687.
7
What is the remainder when 95682 is divided by 11813?
1178
What is the remainder when 2685861 is divided by 383609?
598
Calculate the remainder when 192251 is divided by 61278.
8417
Calculate the remainder when 6568761 is divided by 81.
66
What is the remainder when 44371079 is divided by 76?
75
Calculate the remainder when 1964018 is divided by 129.
122
What is the remainder when 94757 is divided by 93415?
1342
Calculate the remainder when 48007 is divided by 23972.
63
What is the remainder when 129732711 is divided by 18533243?
10
Calculate the remainder when 2527937 is divided by 1263860.
217
Calculate the remainder when 13044036 is divided by 82.
50
What is the remainder when 11870218 is divided by 3956735?
13
Calculate the remainder when 28501998 is divided by 3569.
3533
What is the remainder when 695164 is divided by 44?
8
Calculate the remainder when 56103 is divided by 2099.
1529
What is the remainder when 98089 is divided by 487?
202
Calculate the remainder when 1035777 is divided by 64736.
1
What is the remainder when 651757 is divided by 108259?
2203
Calculate the remainder when 1172976130 is divided by 449.
448
What is the remainder when 1119929 is divided by 48?
41
Calculate the remainder when 3241991 is divided by 400.
391
Calculate the remainder when 703689 is divided by 72.
33
Calculate the remainder when 3242820 is divided by 1177.
185
Calculate the remainder when 6378414 is divided by 645.
9
Calculate the remainder when 15175025 is divided by 5058319.
68
What is the remainder when 78154 is divided by 5194?
244
Calculate the remainder when 561334 is divided by 70161.
46
What is the remainder when 485475 is divided by 484173?
1302
What is the remainder when 318314120 is divided by 1291?
1287
Calculate the remainder when 1805744 is divided by 1388.
1344
Calculate the remainder when 56513 is divided by 1046.
29
Calculate the remainder when 1301242 is divided by 35.
12
Calculate the remainder when 5070048 is divided by 2460.
2448
What is the remainder when 410392 is d | {
"pile_set_name": "DM Mathematics"
} |
2) assuming n is positive.
n**(-287/22)
Simplify (m**(-1))**(-10/9)/((m*m/(m/(m*(m/((m/m**2)/m))/m)))/(m*m**(-5))) assuming m is positive.
m**(-62/9)
Simplify a**(-12/5)/((a/(a*a**(-38)*a))/a) assuming a is positive.
a**(-192/5)
Simplify ((r/(r/((r/r**8)/r)))/r*r*r/(r/(r*r**1)))/(r**0/(r/(r**(3/2)/r))) assuming r is positive.
r**(-11/2)
Simplify (m**(-6)/m)**(-4/5) assuming m is positive.
m**(28/5)
Simplify (((b*b/(b/(b/(b**(2/7)*b))*b))/b)/(b*b**(1/7)))/(b*b**(-4)*b**(-3)) assuming b is positive.
b**(25/7)
Simplify (f**(1/2))**(-18/5)*(f*(f/(f/((f*f*f**2*f)/f*f)))/f)/(f**(1/6)/f) assuming f is positive.
f**(121/30)
Simplify (r**(-6)*r**1)/(r/(r/r**1*r))**39 assuming r is positive.
r**(-5)
Simplify (z**(-5/6)*z**(-3))/(z**0/z*z)**(-16) assuming z is positive.
z**(-23/6)
Simplify (q**(-1))**(-37)*(q/(q**1/q))**(2/9) assuming q is positive.
q**(335/9)
Simplify ((y**(-4)/y)/(y/y**6))/(y**(1/10)*y/(((y*y**(-4))/y)/y)) assuming y is positive.
y**(-61/10)
Simplify s**(-7)*s*s**(-1/6)*s**(-7)/(s/(s/(s**(-2/3)*s)*s)) assuming s is positive.
s**(-25/2)
Simplify h*h**(-4/29)*h*h*h**9 assuming h is positive.
h**(344/29)
Simplify (r/(r*r/r**(2/5)*r))**(2/31)*(r**1*r)**(-3/8) assuming r is positive.
r**(-529/620)
Simplify f**(-4/25)/f*f**(-23) assuming f is positive.
f**(-604/25)
Simplify (o**(2/5)*o**(3/2))/(o**(6/5)*(o*o**0)/o) assuming o is positive.
o**(7/10)
Simplify (f**(5/6)/(f*f/(f/(f*f**(-3/7)*f))*f*f))/((f**(-2/7)/f)/f**(2/3)) assuming f is positive.
f**(-25/14)
Simplify (v**(-1/2)*v*v/(v*v**(1/13)))**(-4/3) assuming v is positive.
v**(-22/39)
Simplify (t*t*((t**(-12)/t)/t)/t*t)/t**(1/9) assuming t is positive.
t**(-109/9)
Simplify l**(3/10)*l**0/l assuming l is positive.
l**(-7/10)
Simplify ((i*i/(i*(i*i/(i/(i*i/(i/((i**(-2/21)/i)/i)*i))))/i))/i*i*i**(2/13))**(-2/5) assuming i is positive.
i**(-1774/1365)
Simplify j**(-5/6)*j/(j*j**(-8)*j)*j assuming j is positive.
j**(43/6)
Simplify (b/(b*b/(b*b**(2/7)*b))*b/b**0)**49 assuming b is positive.
b**112
Simplify (r**33/r)/(r**(8/13)*r) assuming r is positive.
r**(395/13)
Simplify (((k*k**(2/3))/k)**(2/71))**(1/63) assuming k is positive.
k**(4/13419)
Simplify ((f*f/f**(2/25))/f)**(-49) assuming f is positive.
f**(-1127/25)
Simplify m**(-3)/(m/m**0)*(m**(2/7))**38 assuming m is positive.
m**(48/7)
Simplify (p/((p**1/p)/p*p*p))**14/(p/p**(2/5))**(-22) assuming p is positive.
p**(66/5)
Simplify v*v/v**(-1/4)*v*v/v**4 assuming v is positive.
v**(1/4)
Simplify (o**(-2/3)/(o*o**4))/((o/(o/((o/(o/o**0))/o)))/(o**(-2/7)/o*o)) assuming o is positive.
o**(-104/21)
Simplify (h*h/(h**(-2)/h)*h**(1/8))**(-34) assuming h is positive.
h**(-697/4)
Simplify ((u*u**11)/u)**(1/5) assuming u is positive.
u**(11/5)
Simplify ((((y/(y**(-6)/y))/y*y)/y)/y)/y**4*(y/((y/y**0)/y))/(y*(y*(y/y**2*y)/y*y)/y*y) assuming y is positive.
y
Simplify (p/(p*p*(p*p**0*p)/p))**(-1/4)/(p**(-5/2)/((p**(-8)*p)/p)) assuming p is positive.
p**(-5)
Simplify ((x/(x/x**10))/x*x*x)**(8/3) assuming x is positive.
x**(88/3)
Simplify (v**(-7/2))**(-2/39) assuming v is positive.
v**(7/39)
Simplify h*(h*h*(h/(h*((h**(1/7)*h)/h*h)/h))/h)/h*h*h/h**1*h/(h/h**(1/3))*h*h*h/(h*h**(-4))*h assuming h is positive.
h**(193/21)
Simplify (a*a**6*a)/a**(-6)*a**(2/33)/a**(-8) assuming a is positive.
a**(728/33)
Simplify (y/(y/(((((y/(((y/(y**(-1/4)*y)*y)/y*y)/y))/y*y)/y)/y*y)/y)))**(-2/11)*((y/(y/((y/(((y/y**(-1))/y*y)/y*y))/y)))/y)**(-15) assuming y is positive.
y**(995/22)
Simplify (k**13/k)**(-6/5) assuming k is positive.
k**(-72/5)
Simplify ((x*x**10)/x**(-1/6))/(x**(-2))**(3/10) assuming x is positive.
x**(353/30)
Simplify ((d*(d/(d**(1/18)/d))/d*d*d)/d**(-3/7))**(8/13) assuming d is positive.
d**(2204/819)
Simplify (r**(-2/5))**(-3/2)*r**(-9)/r**(-5/2) assuming r is positive.
r**(-59/10)
Simplify (p/p**(-2)*p**(2/13))**(14/9) assuming p is positive.
p**(574/117)
Simplify (w**(3/5)*(w*w**3*w)/w)**(-29) assuming w is positive.
w**(-667/5)
Simplify (w/(w*w**(-1/4)*w*w))**(1/27) assuming w is positive.
w**(-7/108)
Simplify ((z*z*z/((z**2*z)/z)*z)/z**(1/8))/(z**(4/11)*z/(z/z**(-2))) assuming z is positive.
z**(309/88)
Simplify ((h/(h/(h*h**(-2/5))))**(1/47))**(5/18) assuming h is positive.
h**(1/282)
Simplify (x**1/(x*x**(-3)/x))**(-7) assuming x is positive.
x**(-28)
Simplify (c*c**(-1/9)/c)**(-5) assuming c is positive.
c**(5/9)
Simplify (i/i**(1/3))**(-21)*i*i*i/(i/(i*i/((i/(i*i**(1/7)))/i*i)*i))*i*i*i/(i/i**(-2/3)*i) assuming i is positive.
i**(-179/21)
Simplify v**(-1/2)/v*(v/v**(1/4))/v*(v/(v**(1/11)/v)*v)/(v*v**(-4)) assuming v is positive.
v**(183/44)
Simplify c**6*c*c**(6/7)/c assuming c is positive.
c**(48/7)
Simplify t**(-1/32)*t/t**(-2/33) assuming t is positive.
t**(1087/1056)
Simplify (m*m*m**(-1/2)*m)**3*(m**0)**(5/2) assuming m is positive.
m**(15/2)
Simplify (m/((((m*m*m**(-20))/m)/m)/m))**(-4/21) assuming m is positive.
m**(-88/21)
Simplify g**(1/2)*g**(-2/27)*g**(-3)*g*g**(-2/7) assuming g is positive.
g**(-703/378)
Simplify (x/(x**(-1/9)*x))**(-16) assuming x is positive.
x**(-16/9)
Simplify (s**(-2/7))**32*s**(-1/5)*s/((s*s/((s/(s*s**0))/s))/s*s*s) assuming s is positive.
s**(-432/35)
Simplify (((h*h**8*h)/h)/(h**(-6/7)/h))/(h/(h/(h/h**(-1))))**(-38) assuming h is positive.
h**(608/7)
Simplify (k*k*(((k**10/k)/k)/k)/k*k)**(-23) assuming k is positive.
k**(-207)
Simplify d**(-4/21)*d*d*(d**0*d)/d assuming d is positive.
d**(38/21)
Simplify (f**13/f**(5/2))**(-36) assuming f is positive.
f**(-378)
Simplify (z*z**(1/8))/(z/z**(6/11)) assuming z is positive.
z**(59/88)
Simplify ((r*r**(1/3))**(-1/12))**(-43) assuming r is positive.
r**(43/9)
Simplify (d**(-2/3)*d)/(d*d*d/(d/((d**5*d)/d))*d)*(d/d**(-1))/d**(-2/11) assuming d is positive.
d**(-181/33)
Simplify ((s/(s*s**(-3/7)*s)*s)/s**(2/7))**(-9/2) assuming s is positive.
s**(-9/14)
Simplify (i**(2/15)*(i/((i/((i*i*i**(2/5)*i)/i))/i*i))/i)/(i*i*i**(-2/13)*i*i*(i**2*i)/i) assuming i is positive.
i**(-841/195)
Simplify (v*v**(6/7))/(v**(-6/5)*v)*v**(-3)/v**5 assuming v is positive.
v**(-208/35)
Simplify ((i**(-6)/i)/i*i**(-2))**43 assuming i is positive.
i**(-430)
Simplify (p**(-1/2)/p)**38*p/p**(-2/3)*p**(-6/5) assuming p is positive.
p**(-848/15)
Simplify (h**(-12)/h*h**11)**(1/3) assuming h is positive.
h**(-2/3)
Simplify (((t*t*t**(-4)*t)/t)/(t*t**(-3/2)))**26 assuming t is positive.
t**(-39)
Simplify (z/z**4)/(z*z/(z/(z/(z*z**(-4)))*z)*z)*z/(z*z/(z*z**0))*z*z*z*z*z/(z/(z/(z/z**(-2)))) assuming z is positive.
z**(-6)
Simplify (i/(i*i/(i/((i*i*i**(-2))/i))*i))**(1/93)*(i/(i**(-1/2)/i))**(-21/4) assuming i is positive.
i**(-105/8)
Simplify g/g**(-6)*g*g/(g/(g*g**1))*g*(g/g**(-1))**(-13) assuming g is positive.
g**(-15)
Simplify ((p**2)**(-1/8))**47 assuming p is positive.
p**(-47/4)
Simplify ((c/c**(-1/4))/c)/(c/(c*c*c**(-14/3))) assuming c is positive.
c**(-41/12)
Simplify ((y**(1/13)/y)/y**(-1/3))/(y/(y**(-2/3)*y))**(-38) assuming y is positive.
y**(965/39)
Simplify ((o/(o/(o*((o/(o/(o*o/(o*o/(o*o**(1/3))))))/o)/o*o)))/o)/((o*o/o**(-7)*o*o)/o)*o**(-2/9)/o*o**(-2) assuming o is positive.
o**(-116/9)
Simplify z*z*z**(-1/24)/z*z*z/z**17*z assuming z is positive.
z**(-313/24)
Simplify (f**(-4/5)*f)**(-41) assuming f is positive.
f**(-41/5)
Simplify (y/(y*y**(1/4)*y))**22/(y**(-1/4))**(1/17) assuming y is positive.
y**(-1869/68)
Simplify (l/(l*l**(-49)))/l**(-35) assuming l is positive.
l**84
Simplify ((l**(-2))**(1/4))**42 assuming l is positive.
l**(-21)
Simplify n**(1/3)*n*((n/n**24)/n)/n assuming n is positive.
n**(-71/3)
Simplify h**(2/7)*h**6*(h**4*h)/(h/h**6) assuming h is positive.
h**(114/7)
Simplify ((((m**(4/3)*m)/m)/m)/m*m*m**(2/27)*m*m)/(m**1/m)**(-6/11) assuming m is positive.
m**(65/27)
Simplify ((u**(2/3))**6)**(1/18) assuming u is positive.
u**(2/9)
Simplify r**17*r*r**(-12) assuming r is positive.
r**6
Simplify m**18/m*m*m**28*m*m assuming m is positive.
m**48
Simplify (((d/(d*(d**(-1/24)*d)/d))/d)/d)/((d*d**(-18))/d*d) assuming d is positive.
d**(361/24)
Simplify ((j/(j*j**(-5))*j)/j**(-11))**(7/5) assuming j is positive.
j**(119/5)
Simplify (r**(1/4))**(1/78)*((r**1*r)/r)**(-1/40) assuming r is positive.
r**(-17/780)
Simplify (c**(-1/2)*c**(-1/12)/c)/((c/c**(2/13))/c**(-1/10)) assuming c is positive.
c**(-1973/780)
Simplify (b/((b/b**0)/b))/((b*b**(-2/7)/b)/b) assuming b is p | {
"pile_set_name": "DM Mathematics"
} |
*f. What is the greatest common divisor of f and 46?
23
Suppose x + 3*x + 4*i = 1248, -936 = -3*x + 2*i. Suppose -4*y + x = 9*y. Calculate the greatest common factor of y and 8.
8
Let i(c) = 126*c - 50. Let j be i(1). Calculate the greatest common factor of 57 and j.
19
Let j be (-9 + -15)*(-6)/9. Suppose 5*o - 2*b + 6*b = 20, 2*o + 9 = -5*b. Calculate the greatest common divisor of j and o.
8
Suppose -3*n - 12 = 3*j, -3*n - 5 = 2*j + 2. Let y = 15 + j. Let k be ((-35)/y)/((-2)/8). Calculate the greatest common factor of 21 and k.
7
Let y = 76 + -71. Suppose 3*o + 3*q - 81 = -q, 47 = 2*o + y*q. Calculate the highest common divisor of o and 248.
31
Let h = 4 - -1. Let w(o) = o**3 - 25*o**2 + 45. Let z be w(25). What is the highest common divisor of z and h?
5
Let i(a) = 3*a - 1. Let n be i(19). Calculate the greatest common factor of n and 126.
14
Let o(f) = -2*f**3 - 13*f**2 - 32*f - 3. Let p be o(-3). Calculate the greatest common factor of p and 1410.
30
Suppose -k = -5*j + 3, 4*k + 12 = 2*j - 4*j. Let p be 13 - (5 + -3 + j). What is the greatest common factor of p and 121?
11
Let j(k) = -k**3 + 14*k**2 + 2*k - 18. Let g be j(14). Let n(c) = c**2 - 10*c + 17. Let v be n(g). What is the highest common factor of v and 17?
17
Let f = -198 + 270. Calculate the greatest common divisor of 18 and f.
18
Let s be 0/2*(-3 + 25/10). Suppose s = 3*u - h - 13, 3*u - 10 = u + 2*h. What is the highest common factor of 20 and u?
4
Suppose 2128 = 6*n + 13*n. Calculate the highest common factor of n and 48.
16
Let f(k) = k**3 + 27*k**2 + 45*k - 119. Let j be f(-25). Calculate the highest common factor of 162 and j.
6
Let b(q) = 69*q + 10. Let k be b(3). Suppose 15*h - k = 8*h. Calculate the highest common factor of h and 62.
31
Let f(n) = n + 21. Suppose 2*w - 2*u - 2 = 0, -2*w + 0 = u + 1. Let s be f(w). Calculate the greatest common factor of 210 and s.
21
Let h = -102 - -402. Calculate the greatest common factor of 40 and h.
20
Suppose 2*b = -q + 6*b + 58, -4*b = 2*q - 56. Suppose -2*l = 5*v - 150, -4*v - l + 85 + q = 0. What is the greatest common divisor of 288 and v?
32
Let u = 752 - 717. What is the highest common factor of 315 and u?
35
Let s be 71396/182 + (-2)/7. Suppose -51*q + s = -44*q. What is the highest common factor of q and 16?
8
Let n(w) = 26*w - 34. Let j be n(11). Calculate the highest common divisor of 112 and j.
28
Suppose -4*c = 34*j - 33*j + 14, 5*c = 4*j - 28. Calculate the greatest common factor of 86 and j.
2
Let n = 13 + -10. Suppose -n*z = -9*z + 78. Calculate the highest common factor of z and 13.
13
Let z(n) = n**2 + 6*n + 3. Suppose 3*h + 2 = 2*a + 1, 5*h + 4 = 3*a. Let s be z(a). Let d be (-4)/6 - 96/(-9). What is the greatest common factor of s and d?
10
Let t(x) = -8*x**2 - x + 1. Let q be t(-2). Let f(o) = -2*o**3 - 3*o**2 + 2*o + 1. Let a be f(2). Let n = a - q. What is the greatest common factor of 15 and n?
3
Suppose -7*g + 1 - 64 = 0. Let h(p) = 2*p**2 + 18*p + 14. Let r be h(g). What is the highest common factor of 154 and r?
14
Let m = 906 + -881. Suppose -f = -3*f - 4*u - 28, -u = 3. Let g be (1 - f) + 1/1. Calculate the highest common divisor of g and m.
5
Let z = -1022 - -1048. What is the greatest common factor of z and 91?
13
Let s be 15276/5 + (14 - 1065/75). Calculate the highest common divisor of s and 65.
65
Let m(s) = -s**3 - s**2 - 7*s - 6. Let z be m(-4). Suppose 0 = -5*f + 5*b + z, -5*f - 4*b = -0*f - 106. Calculate the greatest common divisor of f and 18.
18
Suppose 0 = -4*m - 3*h - 19 + 107, -5*h = 4*m - 80. Calculate the highest common factor of 4 and m.
1
Let d(h) = 17*h**2 - 11*h + 14. Let a be d(6). Calculate the greatest common divisor of 70 and a.
70
Let a = 4 - 9. Let j = 669 - 672. Let s be (-8)/a + j/5. What is the highest common divisor of s and 5?
1
Let f = -60 - -207. Suppose -3*m - 45*y = -42*y - 69, -5*m + 95 = -5*y. Calculate the greatest common factor of m and f.
21
Let x be (-1)/(-3*1/66). Let o = x - 11. Suppose -7*b - 8 = -o*b. Calculate the greatest common divisor of 1 and b.
1
Suppose -c + 0 + 3 = 0. Let m(i) = -i**2 - i - 4*i - 34 + 34. Let l be m(-3). What is the greatest common factor of c and l?
3
Let m be 5 + -1 + -3 - -4. Let q be m/(20/16)*2. Calculate the greatest common divisor of q and 2.
2
Let h(f) = -f**3 - 6*f**2 - 2*f - 3. Let z be h(-6). Suppose 36*t + 26 = 134. Calculate the greatest common factor of z and t.
3
Suppose 14*h + 5*h - 266 = 0. Suppose -o - 10 = -3*o. Suppose o*l = 165 - 25. Calculate the greatest common factor of h and l.
14
Let h be ((-11)/(198/6))/((-2)/624). Calculate the highest common factor of 910 and h.
26
Suppose 2*u = -2*u + 40. Let x(v) = -2*v + 24. Let g be x(u). Suppose 5*r = 5, g*j = -4*r + 59 + 9. Calculate the highest common factor of j and 176.
16
Suppose 0 = 10*s - 665 - 6615. What is the greatest common divisor of s and 84?
28
Suppose 2*a - 10*a + 32 = 0. Let m be (-2)/12 + (-46)/12. Let k be 21/((15/m)/(-5)). What is the highest common factor of k and a?
4
Let d(m) = 4*m**2 - 15*m + 87. Let t be d(12). What is the greatest common divisor of 231 and t?
21
Suppose 5*w + 3*v - 381 = 166, 2*w - 217 = -3*v. Calculate the highest common divisor of w and 176.
22
Suppose 2*t = 5*t + 5*n - 13, -5*t + 3*n = -33. Suppose -2*m = m + 117. Let q = 57 + m. What is the highest common factor of t and q?
6
Let b = 497 - 327. Let q be 3/(-1) + 23 + -5 + 2. Calculate the highest common divisor of q and b.
17
Suppose 43*l - 10800 = 13*l. What is the highest common factor of l and 40?
40
Suppose -7*i - 2*i + 162 = 0. Let p be (-6)/((2/24)/((-9)/i)). Calculate the highest common factor of 60 and p.
12
Let q(c) = -c**2 - 33*c - 45. Let j be q(-25). What is the greatest common factor of 10 and j?
5
Let j be 10/(-4) + (-1)/2. Let r be 25/3 + (-2)/j. Suppose 4*b - a - 145 = 0, -5*a = 34 - 29. Calculate the greatest common divisor of b and r.
9
Let g = -67 + 122. Suppose -1 - 1 = -m. Suppose -l = -m*d + 21, -5*l - g = 3*d - 8*d. What is the greatest common factor of d and 20?
10
Suppose 3*p - 12 = -p. Let j be 695/10 - p/(-6). Calculate the greatest common factor of 28 and j.
14
Let i be (24/10)/((-135)/(-12375)). What is the greatest common factor of 44 and i?
44
Let z be 365/2 - (-2)/(-4). Let g(s) = 2*s**3 + 95*s**2 + 27*s - 926. Let j be g(-47). What is the highest common factor of j and z?
14
Suppose 0 = 6*b - 3*b + 1836. Let j be (-4)/(-14) - b/63. What is the greatest common divisor of 2 and j?
2
Suppose -3*g - 14 = -5*c, g + 1 = c - 1. Suppose -45 = c*x - 9*x. Suppose -w = 0, 5*j - 5*w - 88 = -43. What is the highest common factor of x and j?
9
Let q = 236 - 179. Calculate the highest common divisor of 418 and q.
19
Let t be 57/((-10)/((-160)/6)). What is the greatest common factor of t and 19?
19
Suppose -n + 1283 = 5*s, 0 = 16*s - 21*s - 3*n + 1289. Calculate the greatest common factor of s and 40.
8
Let t = 493 - 250. Calculate the greatest common divisor of 27 and t.
27
Suppose 0 = 12*b - 211 + 139. What is the greatest common factor of b and 146?
2
Suppose 0 = 5*n - 5375 + 5370. Let w be (-1)/(-2) - 2/(-4). What is the highest common factor of w and n?
1
Let c(n) = 2*n**2 + 8*n - 12. Let o be c(-7). What is the highest common divisor of 45 and o?
15
Suppose 0*j - 2*j + 582 = 4*m, 0 = m - 2*j - 133. Let y be 0*((-10)/4 + 2) - -11. What is the greatest common divisor of y and m?
11
Suppose 3*i = 2*n + 47, 72 = 4*i + n - 6*n. Suppose -17 = -3*o + i. Let p(w) = w - 8. Let b be p(o). Calculate the highest common divisor of 3 and b.
1
Suppose 37*v - 6 = 142. What is the highest common factor of v and 35?
1
Suppose 2*o - 1278 = -2*g, -6*o + 5*o = -g + 641. Calculate the greatest common divisor of g and 20.
20
Suppose 25*f - 1430 = 3*f. Calculate the greatest common factor of f and 20.
5
Suppose -2*h = 2*o + o - 101, 3*h - 152 = -4*o. Let v = 3088 - 2958. Calculate the highest common factor of h and v.
26
Suppose -10*s = -14*s, 2*b = 4*s + 1900. What is the highest common divisor of 38 and b?
38
Suppose -2*n + 71 + 65 = 0. Suppose -3*w + 0*w + 8 = 4*c, w - 5*c = 28. Suppose w*r + 2*r - 170 = 0. Calculate the greatest common factor of r and n.
17
Suppose -c = -4*j + 169, 0*c - c - 1 = 0. Let r be j/189 - (-716)/18. What is the highest common divisor of | {
"pile_set_name": "DM Mathematics"
} |
s of 1023407.
7, 11, 13291
List the prime factors of 1873531.
11, 181, 941
What are the prime factors of 151455?
3, 5, 23, 439
What are the prime factors of 544281?
3, 419, 433
List the prime factors of 302687.
7, 11, 3931
List the prime factors of 22782951.
3, 29, 53, 61
What are the prime factors of 3362822?
2, 1681411
What are the prime factors of 93965?
5, 18793
List the prime factors of 1248719.
181, 6899
List the prime factors of 122653.
122653
What are the prime factors of 170945?
5, 179, 191
List the prime factors of 201045.
3, 5, 13, 1031
What are the prime factors of 274935?
3, 5, 18329
What are the prime factors of 11733088?
2, 373, 983
What are the prime factors of 310394?
2, 7, 22171
What are the prime factors of 2037550?
2, 5, 40751
List the prime factors of 1182812.
2, 295703
List the prime factors of 3315627.
3, 7, 53, 331
List the prime factors of 442587.
3, 31, 4759
What are the prime factors of 180704?
2, 5647
What are the prime factors of 91092?
2, 3, 7591
What are the prime factors of 436500?
2, 3, 5, 97
What are the prime factors of 2998780?
2, 5, 149939
List the prime factors of 293012.
2, 17, 31, 139
List the prime factors of 4565758.
2, 17, 134287
List the prime factors of 52558.
2, 11, 2389
List the prime factors of 110907.
3, 12323
What are the prime factors of 1233293?
1039, 1187
What are the prime factors of 21947887?
13, 1688299
What are the prime factors of 94683?
3, 37, 853
List the prime factors of 145668.
2, 3, 61, 199
List the prime factors of 5300474.
2, 2650237
List the prime factors of 560179.
560179
List the prime factors of 944140.
2, 5, 47207
List the prime factors of 711518.
2, 17, 1231
List the prime factors of 98842.
2, 73, 677
List the prime factors of 130221.
3, 7, 13, 53
List the prime factors of 19172121.
3, 19, 336353
List the prime factors of 291187.
13, 1723
What are the prime factors of 16301532?
2, 3, 13, 83, 1259
What are the prime factors of 3769673?
3769673
What are the prime factors of 21392178?
2, 3, 53, 67271
List the prime factors of 4197147.
3, 17, 47, 103
What are the prime factors of 3628828?
2, 7, 29, 41, 109
What are the prime factors of 786511?
11, 127, 563
What are the prime factors of 1626488?
2, 203311
What are the prime factors of 3776208?
2, 3, 151, 521
What are the prime factors of 447866?
2, 151, 1483
List the prime factors of 11866693.
11866693
List the prime factors of 2473541.
7, 449, 787
List the prime factors of 2476495.
5, 7, 173, 409
List the prime factors of 14230267.
83, 171449
List the prime factors of 1828353.
3, 61, 97, 103
What are the prime factors of 455002?
2, 227501
What are the prime factors of 1921692?
2, 3, 160141
What are the prime factors of 299380?
2, 5, 14969
What are the prime factors of 1360207?
1360207
List the prime factors of 1082290.
2, 5, 11, 9839
What are the prime factors of 602324?
2, 23, 6547
List the prime factors of 7069178.
2, 17, 19, 31, 353
What are the prime factors of 1293664?
2, 40427
List the prime factors of 948505.
5, 189701
What are the prime factors of 43453935?
3, 5, 7, 6569
List the prime factors of 1082980.
2, 5, 173, 313
What are the prime factors of 962666?
2, 37, 13009
List the prime factors of 243010.
2, 5, 19, 1279
List the prime factors of 1481948.
2, 13, 28499
List the prime factors of 19760158.
2, 11, 898189
What are the prime factors of 40020?
2, 3, 5, 23, 29
List the prime factors of 572272.
2, 47, 761
What are the prime factors of 1693402?
2, 157, 5393
What are the prime factors of 192936?
2, 3, 8039
List the prime factors of 2113583.
2113583
List the prime factors of 2020908.
2, 3, 168409
List the prime factors of 1708238.
2, 7, 17431
What are the prime factors of 21018730?
2, 5, 2101873
List the prime factors of 3212578.
2, 1606289
What are the prime factors of 782307?
3, 86923
List the prime factors of 3101310.
2, 3, 5, 17, 2027
What are the prime factors of 5229195?
3, 5, 89, 3917
What are the prime factors of 1357992?
2, 3, 6287
List the prime factors of 8960112.
2, 3, 7, 2963
List the prime factors of 2978116.
2, 257, 2897
List the prime factors of 1303119.
3, 144791
What are the prime factors of 329204?
2, 82301
List the prime factors of 1302252.
2, 3, 7, 37, 419
List the prime factors of 455355.
3, 5, 3373
What are the prime factors of 113231?
199, 569
List the prime factors of 9682340.
2, 5, 484117
List the prime factors of 18279589.
71, 257459
What are the prime factors of 3677245?
5, 11, 13, 37, 139
What are the prime factors of 361882?
2, 23, 7867
List the prime factors of 148821.
3, 113, 439
What are the prime factors of 1062435?
3, 5, 11, 47, 137
What are the prime factors of 672717?
3, 224239
List the prime factors of 3865585.
5, 773117
What are the prime factors of 114902?
2, 73, 787
List the prime factors of 897581.
897581
List the prime factors of 417436.
2, 79, 1321
List the prime factors of 2739113.
13, 47, 4483
List the prime factors of 4878186.
2, 3, 109, 7459
List the prime factors of 2051655.
3, 5, 136777
List the prime factors of 1256386.
2, 628193
List the prime factors of 10747574.
2, 29, 185303
List the prime factors of 2739129.
3, 31, 29453
What are the prime factors of 2382741?
3, 264749
What are the prime factors of 293259?
3, 67, 1459
What are the prime factors of 467742?
2, 3, 11, 19, 373
List the prime factors of 1065174.
2, 3, 11, 16139
List the prime factors of 697193.
7, 137, 727
List the prime factors of 1188860.
2, 5, 59443
What are the prime factors of 647486?
2, 7, 6607
What are the prime factors of 6547165?
5, 659, 1987
What are the prime factors of 74196?
2, 3, 229
List the prime factors of 165902.
2, 11, 7541
What are the prime factors of 6058632?
2, 3, 252443
What are the prime factors of 466405?
5, 93281
List the prime factors of 335049.
3, 11, 13, 71
What are the prime factors of 677826?
2, 3, 37657
List the prime factors of 29690717.
7, 605933
List the prime factors of 648563.
648563
What are the prime factors of 281167?
281167
What are the prime factors of 35352642?
2, 3, 13, 453239
List the prime factors of 319243.
17, 89, 211
What are the prime factors of 3243358?
2, 1621679
List the prime factors of 14955813.
3, 553919
List the prime factors of 6993566.
2, 131, 26693
What are the prime factors of 2559276?
2, 3, 2633
What are the prime factors of 4381859?
4381859
List the prime factors of 2834929.
797, 3557
What are the prime factors of 4757456?
2, 11, 27031
List the prime factors of 104282.
2, 23, 2267
List the prime factors of 1092489.
3, 53, 6871
List the prime factors of 37542215.
5, 7508443
List the prime factors of 282158.
2, 141079
What are the prime factors of 5420221?
313, 17317
List the prime factors of 4872501.
3, 180463
List the prime factors of 2220218.
2, 7, 11, 13, 1109
What are the prime factors of 645709?
41, 15749
List the prime factors of 136308.
2, 3, 37, 307
What are the prime factors of 1267626?
2, 3, 211271
What are the prime factors of 1583591?
1583591
List the prime factors of 845724.
2, 3, 11, 43, 149
What are the prime factors of 764400?
2, 3, 5, 7, 13
What are the prime factors of 3127266?
2, 3, 71, 2447
List the prime factors of 216012.
2, 3, 47, 383
List the prime factors of 227766.
2, 3, 7, 11, 17, 29
What are the prime factors of 448573?
607, 739
List the prime factors of 10319.
17, 607
What are the prime factors of 11106568?
2, 11, 126211
What are the prime factors of 1459257?
3, 19, 25601
List the prime factors of 200231.
200231
List the prime factors of 239829.
3, 79943
What are the prime factors of 298110?
2, 3, 5, 19, 523
What are the prime factors of 1200551?
11, 109141
List the prime factors of 17698881.
3, 5899627
What are the prime factors of 492385?
5, 19, 71, 73
List the prime factors of 294661.
17, 17333
What are the prime factors of 3556889?
7, 127, 4001
List the prime factors of 27498522.
2, 3, 4583087
List the prime factors of 112459.
112459
List the prime factors of 641087.
17, 43, 877
What are the prime factors of 649894?
2, 7, 61, 761
What are the prime factors of 66451?
7, 11, 863
List the prime factors of 113910.
2, 3, 5, 3797
What are the prime factors of 4826258?
2, 569, 4241
What are the prime factors of 875302?
2, 437651
What are the prime factors of 667922?
2, 521, 641
List the prime factors of 17433 | {
"pile_set_name": "DM Mathematics"
} |
s 1415780 a multiple of 29?
True
Is 321514 a multiple of 252?
False
Does 2 divide 153578?
True
Is 199386 a multiple of 735?
False
Is 26 a factor of 1872566?
False
Is 357280 a multiple of 55?
True
Is 46314 a multiple of 62?
True
Is 43762 a multiple of 80?
False
Is 13673 a multiple of 4?
False
Is 3 a factor of 4036089?
True
Does 26 divide 120253?
False
Is 44309 a multiple of 214?
False
Does 15 divide 49153?
False
Does 19 divide 949171?
False
Is 637582 a multiple of 11?
True
Is 37 a factor of 523917?
False
Is 17220 a multiple of 3?
True
Is 498 a factor of 2795772?
True
Is 50025 a multiple of 29?
True
Does 111 divide 6680646?
True
Is 104 a factor of 101088?
True
Is 515518 a multiple of 5?
False
Is 534635 a multiple of 27?
False
Is 38 a factor of 344880?
False
Is 4469484 a multiple of 116?
False
Is 93 a factor of 521110?
False
Is 5945 a multiple of 12?
False
Is 555 a factor of 1870905?
True
Is 126 a factor of 10037790?
True
Does 141 divide 1851168?
False
Is 1801388 a multiple of 17?
True
Is 57 a factor of 92226?
True
Is 33 a factor of 4024680?
True
Is 45118 a multiple of 32?
False
Is 147 a factor of 89651?
False
Does 237 divide 116367?
True
Does 11 divide 2604069?
False
Is 91 a factor of 6136746?
False
Is 1632 a factor of 5182623?
False
Does 13 divide 67511?
False
Is 90 a factor of 19350?
True
Is 404136 a multiple of 27?
True
Is 3669660 a multiple of 8?
False
Is 6403776 a multiple of 24?
True
Is 581 a factor of 2678991?
True
Does 16 divide 1966?
False
Is 8 a factor of 33095?
False
Does 63 divide 134316?
True
Is 114050 a multiple of 260?
False
Is 482000 a multiple of 4?
True
Does 72 divide 243784?
False
Is 20 a factor of 1102908?
False
Is 279321 a multiple of 283?
True
Does 93 divide 205065?
True
Is 5380183 a multiple of 184?
False
Does 50 divide 32480?
False
Does 287 divide 348418?
True
Is 298729 a multiple of 74?
False
Does 11 divide 1910260?
True
Is 6 a factor of 82138?
False
Is 73 a factor of 103930?
False
Is 16 a factor of 1262894?
False
Does 81 divide 1008100?
False
Is 394 a factor of 293136?
True
Does 37 divide 3747334?
False
Is 706045 a multiple of 516?
False
Does 7 divide 1645110?
False
Is 172587 a multiple of 48?
False
Is 23 a factor of 82652?
False
Is 290168 a multiple of 23?
True
Does 128 divide 390465?
False
Is 69 a factor of 60099?
True
Does 21 divide 773711?
False
Is 9708 a multiple of 35?
False
Is 67760 a multiple of 560?
True
Is 5334673 a multiple of 395?
False
Is 40026 a multiple of 6?
True
Is 176 a factor of 373296?
True
Is 13 a factor of 3227?
False
Is 110828 a multiple of 206?
True
Does 4 divide 53988?
True
Does 41 divide 16267422?
False
Is 12 a factor of 7884396?
True
Is 148 a factor of 1138416?
True
Is 46 a factor of 15916?
True
Is 35749 a multiple of 3?
False
Is 24 a factor of 204768?
True
Does 71 divide 844762?
False
Is 45 a factor of 576585?
True
Is 29424 a multiple of 24?
True
Does 157 divide 341772?
False
Is 553676 a multiple of 194?
True
Does 73 divide 1555338?
True
Is 303996 a multiple of 42?
True
Does 347 divide 232490?
True
Is 942 a factor of 14343652?
False
Is 134 a factor of 114167?
False
Is 35 a factor of 16419655?
True
Is 205 a factor of 689893?
False
Does 22 divide 93412?
True
Does 204 divide 1227694?
False
Is 3 a factor of 820645?
False
Does 209 divide 490941?
True
Is 90 a factor of 28395?
False
Is 3003247 a multiple of 140?
False
Is 82 a factor of 118384?
False
Does 17 divide 8540?
False
Is 225904 a multiple of 4?
True
Does 86 divide 108790?
True
Is 252914 a multiple of 660?
False
Is 23181368 a multiple of 76?
True
Is 589784 a multiple of 106?
True
Is 305749 a multiple of 94?
False
Does 12 divide 485573?
False
Is 78 a factor of 1865994?
True
Is 191 a factor of 401798?
False
Is 119654 a multiple of 163?
False
Is 418498 a multiple of 494?
False
Is 8 a factor of 37680?
True
Is 106 a factor of 9839980?
True
Is 34 a factor of 664235?
False
Does 5 divide 3153764?
False
Is 692384 a multiple of 56?
True
Does 614 divide 847934?
True
Does 22 divide 604304?
False
Is 44982 a multiple of 11?
False
Does 332 divide 332493?
False
Does 40 divide 637480?
True
Is 46 a factor of 296608?
True
Is 1534932 a multiple of 42?
True
Is 10 a factor of 6309?
False
Is 56224 a multiple of 251?
True
Does 12 divide 389117?
False
Does 46 divide 241224?
True
Does 8 divide 420304?
True
Is 42 a factor of 63244?
False
Is 500 a factor of 842660?
False
Is 143 a factor of 3442883?
False
Is 8 a factor of 123861?
False
Is 41 a factor of 20664?
True
Is 116409 a multiple of 11?
False
Is 76 a factor of 533566?
False
Is 553961 a multiple of 14?
False
Does 57 divide 9433313?
False
Is 30 a factor of 93750?
True
Is 1102 a factor of 1894553?
False
Does 52 divide 94484?
True
Does 545 divide 34280033?
False
Is 13 a factor of 1264835?
True
Is 422684 a multiple of 12?
False
Is 1373717 a multiple of 76?
False
Is 122 a factor of 7942?
False
Is 45 a factor of 571378?
False
Is 372228 a multiple of 12?
True
Does 162 divide 604908?
True
Is 21 a factor of 1925301?
True
Is 1167 a factor of 2553578?
False
Is 4 a factor of 2593?
False
Is 651 a factor of 5440934?
False
Is 5 a factor of 116018?
False
Is 18 a factor of 218145?
False
Does 47 divide 5738794?
True
Is 175672 a multiple of 8?
True
Is 103 a factor of 574645?
False
Is 1085280 a multiple of 224?
True
Is 136625 a multiple of 404?
False
Is 6327618 a multiple of 33?
True
Is 430530 a multiple of 5?
True
Does 302 divide 1335304?
False
Is 11 a factor of 2504901?
False
Is 28 a factor of 23149052?
False
Is 156 a factor of 142116?
True
Is 110500 a multiple of 4?
True
Does 12 divide 101488?
False
Is 511988 a multiple of 4?
True
Does 83 divide 226839?
True
Is 265 a factor of 967515?
True
Does 109 divide 12535?
True
Is 213 a factor of 67734?
True
Is 1725387 a multiple of 7?
False
Is 1468324 a multiple of 286?
True
Is 904 a factor of 2155540?
False
Is 2533476 a multiple of 9?
False
Does 20 divide 2553180?
True
Is 60 a factor of 32891?
False
Is 74980 a multiple of 460?
True
Is 114 a factor of 491340?
True
Is 952 a factor of 8241146?
False
Does 505 divide 2790859?
False
Is 5 a factor of 573990?
True
Is 1225 a factor of 2686863?
False
Does 17 divide 19876?
False
Is 3778736 a multiple of 208?
True
Does 403 divide 10726111?
False
Is 381 a factor of 126202?
False
Is 32 a factor of 66967?
False
Is 56 a factor of 77969?
False
Is 249647 a multiple of 16?
False
Is 6 a factor of 991926?
True
Does 209 divide 470493?
False
Is 23 a factor of 106354?
False
Does 708 divide 405190?
False
Is 7 a factor of 193?
False
Is 149601 a multiple of 14?
False
Is 42534 a multiple of 302?
False
Is 472127 a multiple of 9?
False
Is 11 a factor of 5973245?
False
Does 22 divide 211178?
True
Is 11 a factor of 8475800?
False
Is 30282 a multiple of 19?
False
Is 441 a factor of 391929?
False
Is 12 a factor of 7198356?
True
Is 49 a factor of 3920892?
False
Is 270680 a multiple of 270?
False
Is 7767539 a multiple of 21?
False
Is 40 a factor of 728699?
False
Is 286873 a multiple of 27?
False
Is 64 a factor of 59584?
True
Is 426 a factor of 173382?
True
Does 141 divide 1921407?
True
Is 135510 a multiple of 59?
False
Does 3 divide 7492521?
True
Does 20 divide 148079?
False
Does 102 divide 762014?
False
Is 12 a factor of 25231?
False
Does 13 divide 5003848?
False
Does 61 divide 64504?
False
Is 1190371 a multiple of 13?
True
Is 775833 a multiple of 11?
False
Is 498 a factor of 6181176?
True
Is 23 a factor of 1158552?
False
Does 47 divide 19172?
False
Is 80 a factor of 2689440?
True
Is 8 a factor of 1153015?
False
Is 445375 a multiple of 997?
False
Does 17 divide 1213238?
False
Is 5 a factor of 20338?
False
Is 8 a factor of 258240?
True
Is 585 a factor of 1440586?
False
Is 27 a factor of 15578109?
True
Does 86 divide 17630?
True
Does 135 divide 309555?
True
Does 65 divide 3856024?
False
Does 79 divide 533645?
True
Is 8038857 a multiple of 103?
False
Does 119 divide 11681737?
False
Does 67 divide 259691?
False
Is 137 a factor of 179093?
False
Is 29 a factor of 11104736?
False
Is 112889 a multiple of 4?
False
Is 211 a factor of 15811?
False
Does 278 divide 7318072?
True
Does 656 divide 204959?
False
Is 91 a factor of 182910?
True
Is 80 a factor of 202471?
False
Is 6 a factor of 366174?
True
Is 142163 a multiple of 55?
False
Is 131670 a multiple of 495?
True
Is 21 a factor of | {
"pile_set_name": "DM Mathematics"
} |
- -773/297. What is the common denominator of 5/8 and h?
72
Let o = -3 + 0. Calculate the least common multiple of 11 and -3*-1*(-5)/o.
55
Let f(r) be the second derivative of 7*r**5/4 - r**2/2 + 2*r. Let h be f(-1). What is the common denominator of -23/11 and (2 - 4)/(h/(-98))?
99
Calculate the lowest common multiple of 4 and 284/10 - (-6)/(-15).
28
Let x(w) = -3*w - 5. Let d be x(-8). Let c = d - 11. Let g(q) = q**3 + 5*q**2 - 8*q - 9. Calculate the smallest common multiple of c and g(-6).
24
Let b(r) = -3*r - 3. Let d be b(-2). Let c = -2 + d. What is the common denominator of 101/22 and 2*-8 + c/4?
44
Suppose 0 = -2*d + 5*g - 15, -5*g - 7 = 2*d - 2. Let a = 6 - 3. What is the smallest common multiple of 50/4*(-4)/d and a?
30
Let c(z) = -865*z - 4. Let l be c(6). Let m = -457/14 + 106/7. Find the common denominator of l/(-84)*(-2)/14 and m.
6
Let h = 103445307/88 - 2350865/2. Let g = h + -645/8. Suppose -4*l + 214 = -5*d, -37 + 3 = d - 3*l. Find the common denominator of g and d.
11
Calculate the common denominator of 157/(-33) + 12/4 and 38/21.
231
Let q be 1/2*(-1357)/(-5). Let c = q - 654/5. Calculate the common denominator of c and -43/4.
20
Calculate the common denominator of 111/14 and ((-140)/32)/(5/(-20)).
14
Suppose 0 = -0*s - 4*s + 5*n - 3692, 0 = -2*s + 2*n - 1844. Calculate the common denominator of -22/5 and s/(-140) - (-3)/21.
10
Suppose -3*f + 0*f + 18 = 0. Find the common denominator of 610/(-4)*1/(-5) and 2/f + (-307)/48.
16
What is the lowest common multiple of ((-42)/(-56))/(2/8) and 1?
3
Let y = -832/3 - -509/2. Let x(a) = -a + 9. Let m(g) = g + 14. Let v be m(-8). What is the common denominator of y and x(v)?
6
Suppose 3*l = l + 52. Suppose 2*g + l = 4*u, 0 = u + 2*g + g - 17. Calculate the smallest common multiple of 3 and u.
24
Let z be -1 - 0 - 9/3. Calculate the common denominator of (-59)/(21 - (1 - 2)) and (-47)/z + 1 + 2.
44
Suppose a + 3 - 10 = -5*m, 0 = 3*m - 3. Calculate the smallest common multiple of a and 12.
12
Suppose -12 = -3*y + 24. Suppose -5*s + y = -3*s. What is the common denominator of 61/10 and ((-53)/12)/(4/s)?
40
Let w = 196743/40 - 4917. Calculate the common denominator of w and 95/8.
40
Find the common denominator of -115/6 and (158/(-22))/(-20 + 22).
66
Let r = 20 - -5. Suppose -2*w + r = 3*w. Suppose -5*z - 2*l - w = -30, 5*l + 11 = -2*z. What is the least common multiple of 9 and z?
63
Let v = -3943921/58 + 67997. Find the common denominator of v and -13/10.
290
Suppose -37 = -3*h + 11. Calculate the lowest common multiple of 6 and h.
48
Let f = -2309/738 + 44/41. What is the common denominator of 268/(-42)*6/16 and f?
252
Let w = -7014 - -168311/24. What is the common denominator of -49/3 and w?
24
Let i be 2/(1*4/(-20)). Calculate the smallest common multiple of ((-2)/(-2))/(i/(-90)) and 3.
9
Suppose -3*q = v + 5, 2*q + 5*v + 10 = 3*v. Suppose a - 3*a + 40 = q. Suppose -16*i = -11*i - 90. What is the lowest common multiple of i and a?
180
Let t be 2628537/401*3/(-3078). Let k = 1/22857 - t. Find the common denominator of 53/20 and k.
180
Calculate the smallest common multiple of 3/(3*4/24) and 12.
12
Let j = 148/583 + 54/53. Calculate the common denominator of -103/12 and j.
132
Let u(f) = -f**3 + 8*f**2 + 10*f - 7. What is the least common multiple of u(9) and 7?
14
Let f be (-18)/8*85538/(-33). Let q = f + -5830. Let s = 869 + -5113/6. What is the common denominator of q and s?
66
Let d = 3881/4 + -978. What is the common denominator of d and 29/5?
20
Let p be -3 + 1 - (-1 + 0). Let l = 6306/5 - 1268. What is the common denominator of (-1)/p*(-102)/(-27) and l?
45
Let u = -1395/4 - -360. What is the common denominator of u and -43/10?
20
Let l be (1 + -4)/(0 - -1). Let c(a) = -3*a + 2. What is the smallest common multiple of 3/(-9) - 38/(-6) and c(l)?
66
Let f(k) = -k**3 + 4*k**2 + 2*k - 2. Let y be f(6). Let l = -5915/1164 + -1/582. What is the common denominator of 2/(y + -2)*-6 and l?
48
Suppose 2*y - 5*y = -21. Calculate the least common multiple of y and 7.
7
Suppose 29 - 41 = -2*s. Calculate the least common multiple of 8 and s.
24
Let d = -7 - -14. What is the least common multiple of ((-48)/(-4))/(-3) + 6 and d?
14
What is the common denominator of (730/(-4) + 1)*(-34)/(-510) and 53/60?
60
Suppose m = b - 14, -3*m + 20 = 2*b - 28. Calculate the least common multiple of 18 and b.
18
Find the common denominator of ((-1330)/225 + 5)*2 and -68/45.
45
Let s = -1124 - -7899/7. What is the common denominator of 13/8 and s?
56
Let a(b) = b - 12. Let z be a(6). Find the common denominator of (-211)/11 + z/(-33) and 15.
1
Find the common denominator of -111/22 and (2/(-40))/(5/110).
110
Let v be (16/(-6))/(1/(-3)). Suppose 5*b + 4*h = 17, -9*h = -5*h + v. Suppose -o + b = 3. What is the smallest common multiple of o and 9?
18
Find the common denominator of 1180/800 + 2*(-1)/(-5) and (0 - 0) + (-82)/(-4).
8
Calculate the common denominator of -121/20 and 4/(-68)*82/(-4).
340
Let o be ((-2)/5)/(3/360). Suppose -5*z + 6 = 4*j, 3*z - 1 = -3*j + z. What is the common denominator of 27/22 and o/(-66) - j/2?
22
Let g = 9 - 8. Suppose -4*w + 48 = 3*o, 3*w + o - 30 - g = 0. Calculate the lowest common multiple of w and 1.
9
Suppose 4*h + 5*f - 20 = 7, 4*f = 12. Suppose -2*n + 3 = 4*a + a, -n = -h*a - 29. What is the lowest common multiple of n and 6?
42
Let m = -4019 - -88501/22. What is the common denominator of m and ((-57)/30)/((-12)/(-10))?
132
Let u be 8/((-1 - 2)/(-9)). Suppose a - n = 2, -5*a - 4*n = -a + u. What is the common denominator of a/(-7) - 2312/(-336) and 8/7?
42
Suppose -y + 8 = -2*y. What is the common denominator of 2/y - 250/72 and 1/13*-2 + (-9050)/(-520)?
36
Let a = 1/20061960 + 130001981/8040011027640. Let s = a - 13375131291/2805313. Let j = s + 4771. What is the common denominator of j and 63/20?
140
Let r(d) = -d**2 - 5*d + 1. Let p be r(-5). Let g = 4 + p. Suppose g*w = w + 4. Calculate the smallest common multiple of 10 and w.
10
Let x = -924 + 4591/5. Calculate the common denominator of x and 20.
5
Suppose 4*l - l = -2*s - 41, 5*l - 40 = s. Calculate the common denominator of (4/s)/(8/(-460)) and 62/9.
45
Let c(n) = -8*n + 16. Let x(d) = d - 1. Let j(v) = -c(v) - 6*x(v). Let r be j(8). Suppose -r*y + y + 15 = 0. What is the smallest common multiple of 5 and y?
15
Find the common denominator of 52/40*18/4 and 49/12.
60
What is the common denominator of -4 - 10/(-35) - -3 and 31?
7
Let o = -14479/14360 - 6/359. What is the common denominator of o and 13/2?
40
Suppose -4*b + 9*b = -15. Let f be 4/(-3 - -1 - b). Suppose f*g = 4*x - 60, 3*x - 66 = -3*g - g. Calculate the lowest common multiple of x and 20.
180
Suppose 6*p - 20 = p. Suppose q - 3*o - 22 = -p*q, 5*q = o + 14. Suppose -4*k = 17 - 57. What is the least common multiple of q and k?
10
Suppose -4*s - 33 = t, 6*s - 3*s - t + 23 = 0. Let k = -39 - -17. What is the common denominator of (s/(-12))/(k/78) and -83/4?
44
Calculate the least common multiple of (0 - -3) + 16 + -7 and 8.
24
Let c(f) = 2*f + 2. Let x be c(-3). Suppose 32*m - 24 = 29*m. Let o = m + x. Calculate the smallest common multiple of o and 12.
12
Calculate the common denominator of -23/18 and (-97)/(-4)*(-2)/(-8).
144
Let y = -4 - 14. Calculate the lowest common multiple of 8 and (-11)/(3*3/y).
88
Let d(g) = -g**3 + 7*g**2 + 8*g + 2. Let r be d(8). Suppose -4*h - 2 = -r*h. Calculate the smallest common multiple of 6 and (-22)/(h*(2 + -1)).
66
Suppose -17 = -3*k + 16. Suppose 3*w + w - 8 = 0. Calculate the smallest common multiple of k and (-10)/(((-12)/3)/w).
55
Let h(v) = v**3 - v**2 + 3*v - 6. What is the least common multiple of h(2) and 12?
12
Let r(k) = -2*k**3 + 2*k**2 + k + 1. Suppose -6*u + 3*u + 6 = 0. Let m be r(u). What is the common denominator of -103/22 and 14/m*70/(-16)?
44
Let y be 5 + -2 + 51074/12. Let q = y - 4281. Calculate the common denominator of q and -44/7.
42
Let a = -12 + 13. Calculate the smallest common multiple of (6/(-1))/(-3) + 0 and a.
2
Let d = -3 - 0. Let s be (-3 - d)/(-1 - 1). Suppose s*y + 4*z = -y + 47, -5*z = 3*y - 113. What is the common denominator of y and -21/11?
11
Suppose -4*p + 7 = -1. Suppose 53 = 3*a - h, a - 13 = 3*h + p. Suppose -4*n = q - 16, -2*q = 6*n - n - 29. What is the smallest common | {
"pile_set_name": "DM Mathematics"
} |
at is the square root of 3201452 to the nearest integer?
1789
What is the cube root of 491869 to the nearest integer?
79
What is 8835000 to the power of 1/2, to the nearest integer?
2972
What is 1012248 to the power of 1/2, to the nearest integer?
1006
What is the cube root of 683587 to the nearest integer?
88
What is 9467741 to the power of 1/2, to the nearest integer?
3077
What is the cube root of 341999 to the nearest integer?
70
What is the cube root of 17992887 to the nearest integer?
262
What is the seventh root of 538172 to the nearest integer?
7
What is the square root of 6768560 to the nearest integer?
2602
What is the ninth root of 2995239 to the nearest integer?
5
What is 22447972 to the power of 1/3, to the nearest integer?
282
What is 1196178 to the power of 1/2, to the nearest integer?
1094
What is 4655422 to the power of 1/2, to the nearest integer?
2158
What is the third root of 9202553 to the nearest integer?
210
What is the third root of 316307 to the nearest integer?
68
What is 3683353 to the power of 1/3, to the nearest integer?
154
What is the third root of 28140702 to the nearest integer?
304
What is 8502899 to the power of 1/5, to the nearest integer?
24
What is the fourth root of 261023 to the nearest integer?
23
What is the seventh root of 1902070 to the nearest integer?
8
What is 115698 to the power of 1/2, to the nearest integer?
340
What is the fifth root of 2041983 to the nearest integer?
18
What is the square root of 926210 to the nearest integer?
962
What is the tenth root of 65374 to the nearest integer?
3
What is 194216 to the power of 1/3, to the nearest integer?
58
What is 204859 to the power of 1/8, to the nearest integer?
5
What is the square root of 399423 to the nearest integer?
632
What is the tenth root of 1669482 to the nearest integer?
4
What is the cube root of 1661231 to the nearest integer?
118
What is 1998802 to the power of 1/3, to the nearest integer?
126
What is 3752524 to the power of 1/3, to the nearest integer?
155
What is the square root of 201299 to the nearest integer?
449
What is the third root of 7445746 to the nearest integer?
195
What is 216526 to the power of 1/2, to the nearest integer?
465
What is 975004 to the power of 1/2, to the nearest integer?
987
What is 214265 to the power of 1/2, to the nearest integer?
463
What is the square root of 5274794 to the nearest integer?
2297
What is 1138589 to the power of 1/9, to the nearest integer?
5
What is the square root of 1110503 to the nearest integer?
1054
What is 7485710 to the power of 1/7, to the nearest integer?
10
What is the third root of 515865 to the nearest integer?
80
What is the third root of 219296 to the nearest integer?
60
What is 1144018 to the power of 1/3, to the nearest integer?
105
What is the sixth root of 9986106 to the nearest integer?
15
What is 7757109 to the power of 1/10, to the nearest integer?
5
What is the square root of 18191626 to the nearest integer?
4265
What is 528382 to the power of 1/9, to the nearest integer?
4
What is 4786021 to the power of 1/3, to the nearest integer?
169
What is the cube root of 3047932 to the nearest integer?
145
What is 1885886 to the power of 1/8, to the nearest integer?
6
What is 45921 to the power of 1/3, to the nearest integer?
36
What is 7945083 to the power of 1/3, to the nearest integer?
200
What is the square root of 270753 to the nearest integer?
520
What is the fourth root of 23940459 to the nearest integer?
70
What is 132111 to the power of 1/7, to the nearest integer?
5
What is the third root of 2633617 to the nearest integer?
138
What is 1205807 to the power of 1/2, to the nearest integer?
1098
What is 8761110 to the power of 1/9, to the nearest integer?
6
What is the square root of 32087 to the nearest integer?
179
What is the square root of 1028916 to the nearest integer?
1014
What is 2395687 to the power of 1/5, to the nearest integer?
19
What is the third root of 572875 to the nearest integer?
83
What is the ninth root of 830680 to the nearest integer?
5
What is 188740 to the power of 1/2, to the nearest integer?
434
What is 599082 to the power of 1/3, to the nearest integer?
84
What is the third root of 269444 to the nearest integer?
65
What is 30363534 to the power of 1/10, to the nearest integer?
6
What is 324963 to the power of 1/3, to the nearest integer?
69
What is the square root of 870461 to the nearest integer?
933
What is 385288 to the power of 1/2, to the nearest integer?
621
What is the square root of 9341205 to the nearest integer?
3056
What is 11949545 to the power of 1/2, to the nearest integer?
3457
What is 14970518 to the power of 1/3, to the nearest integer?
246
What is the ninth root of 3171298 to the nearest integer?
5
What is the ninth root of 2786574 to the nearest integer?
5
What is the cube root of 14241035 to the nearest integer?
242
What is the fourth root of 3598321 to the nearest integer?
44
What is 10236908 to the power of 1/7, to the nearest integer?
10
What is the fifth root of 15032654 to the nearest integer?
27
What is the eighth root of 389818 to the nearest integer?
5
What is the third root of 7736409 to the nearest integer?
198
What is the third root of 911864 to the nearest integer?
97
What is 4586107 to the power of 1/10, to the nearest integer?
5
What is the fourth root of 540262 to the nearest integer?
27
What is the square root of 293058 to the nearest integer?
541
What is the third root of 18221618 to the nearest integer?
263
What is the tenth root of 404134 to the nearest integer?
4
What is the ninth root of 1022893 to the nearest integer?
5
What is the cube root of 43918 to the nearest integer?
35
What is the tenth root of 13802703 to the nearest integer?
5
What is 385296 to the power of 1/10, to the nearest integer?
4
What is the cube root of 380940 to the nearest integer?
72
What is the square root of 1181829 to the nearest integer?
1087
What is 366105 to the power of 1/6, to the nearest integer?
8
What is 578478 to the power of 1/2, to the nearest integer?
761
What is 282986 to the power of 1/8, to the nearest integer?
5
What is 79145 to the power of 1/9, to the nearest integer?
4
What is 1106466 to the power of 1/7, to the nearest integer?
7
What is 3583700 to the power of 1/3, to the nearest integer?
153
What is 4831828 to the power of 1/9, to the nearest integer?
6
What is the third root of 9246518 to the nearest integer?
210
What is the fifth root of 118633 to the nearest integer?
10
What is the sixth root of 210865 to the nearest integer?
8
What is 62420 to the power of 1/9, to the nearest integer?
3
What is 836722 to the power of 1/8, to the nearest integer?
5
What is the cube root of 5586985 to the nearest integer?
177
What is the third root of 3768717 to the nearest integer?
156
What is the square root of 350020 to the nearest integer?
592
What is 2993566 to the power of 1/7, to the nearest integer?
8
What is 7846558 to the power of 1/2, to the nearest integer?
2801
What is the square root of 4410 to the nearest integer?
66
What is 12142554 to the power of 1/7, to the nearest integer?
10
What is the ninth root of 712797 to the nearest integer?
4
What is 1754876 to the power of 1/5, to the nearest integer?
18
What is 345617 to the power of 1/10, to the nearest integer?
4
What is the square root of 1980293 to the nearest integer?
1407
What is the ninth root of 12496961 to the nearest integer?
6
What is the ninth root of 2974913 to the nearest integer?
5
What is 71397 to the power of 1/3, to the nearest integer?
41
What is 22760628 to the power of 1/10, to the nearest integer?
5
What is 9318135 to the power of 1/4, to the nearest integer?
55
What is the third root of 389262 to the nearest integer?
73
What is the tenth root of 656717 to the nearest integer?
4
What is 581176 to the power of 1/5, to the nearest integer?
14
What is the ninth root of 258037 to the nearest integer?
4
What is 232904 to the power of 1/7, to the nearest integer?
6
What is the square root of 690791 to the nearest integer?
831
What is 3766813 to the power of 1/8, to the nearest integer?
7
What is 294201 to the power of 1/2, to the nearest integer?
542
What is the square root of 407722 to the nearest integer?
639
What is 94311 to th | {
"pile_set_name": "DM Mathematics"
} |
rue
Let j = -106 - -525. Is j a composite number?
False
Suppose 11*r + 55 = -110. Let x(a) = 6*a**2 + 15*a - 52. Is x(r) prime?
False
Suppose 3*v = 7*u - 9*u + 8341, -u = 5*v - 13890. Is v prime?
True
Suppose 4*o - 23041 = 3*b, 43*o + b = 38*o + 28806. Is o composite?
True
Let g(u) = -u**3 + 8*u**2 + 2*u + 7. Let o(k) = -k + 11. Let h = 9 + -4. Let s be o(h). Is g(s) a composite number?
True
Let p = 26244 - 9127. Is p composite?
False
Let d(o) = o**3 - 2*o**2 - o - 4. Let c be d(3). Suppose 18 = -5*r - g, 12 = -r + 6*g - c*g. Is (r + 5 - -2)*29 prime?
False
Let r(x) = 1095*x - 14. Let l be r(-10). Is (l/(-10) - -1) + 54/(-135) a composite number?
False
Let r be (-1)/(-7) - (-6)/7. Is (250 - (-4)/4)/r a prime number?
True
Suppose 0 = 4*g - 2*n, -g - 5*n = -6*g - 10. Suppose -g = -2*a, -4*a = -2*h - h + 2255. Is h a prime number?
False
Let h(w) = 318*w + 41. Is h(9) a prime number?
True
Let q(t) be the first derivative of 55*t**3 + 3*t**2/2 - t + 10. Is q(-5) prime?
False
Let f be (-27)/36*(-48)/9. Let x(a) = 57*a + 10. Let d(v) = -28*v - 5. Let q(i) = -5*d(i) - 2*x(i). Is q(f) prime?
True
Suppose 5*b = -p - 532, -2*p = p - b + 1660. Let v = -190 - -117. Let l = v - p. Is l composite?
False
Is 6/120*5*1724 a composite number?
False
Let c(n) = n**2 + 6*n + 5. Let g be c(-5). Suppose 2*d - 73 = x, 2*x - 4 + 2 = g. Let t = d - -22. Is t composite?
False
Suppose -2*b + 1679 = 3*u, 4*u + 5*b - 2765 = -517. Is u a prime number?
True
Let r(m) = -27*m + 4. Let l be r(5). Let x = 143 - l. Is x a prime number?
False
Is (6387/6)/(1/2) composite?
False
Let o(m) = -6*m**3 + 15*m**2 + 47*m - 59. Is o(-21) a composite number?
True
Let c = 5285 + 2712. Is c prime?
False
Let j(d) = 103*d + 5. Let n(h) = 413*h + 19. Let u(g) = -9*j(g) + 2*n(g). Suppose -14 = 5*s + 3*w, 2*s - 3*w + 20 = 6. Is u(s) a composite number?
False
Let j = 111 + -72. Suppose j = u - 36. Let a = u + -4. Is a composite?
False
Is ((-1)/(-3))/((-11)/(-71907)) composite?
False
Let l = 96 - 216. Let j = -53 - l. Is j a composite number?
False
Let v(o) = -o**2 - 50*o - 162. Is v(-31) a prime number?
False
Let b(h) = 219*h + 6. Let a be b(21). Suppose 0 = -11*y + 8*y + a. Is y composite?
True
Let k = 14288 + -20156. Let q = k - -10309. Is q composite?
False
Is ((-3)/(-3))/((-1)/(-123)) composite?
True
Let c be (-6 - -4)/((-4)/(-58)). Let b = c + 36. Is b a prime number?
True
Let w(y) = -4*y - 22. Let o be w(-6). Suppose 2*s + 0*s - 46 = o*v, 131 = -5*v + s. Let g = 34 + v. Is g a composite number?
False
Suppose 0 = 8*c + 14*c - 68706. Is c/(-12)*(-6 - -2) prime?
False
Is (5 - 4)*(-7 + 0 - -1274) a composite number?
True
Let w = -859 - -1280. Suppose -6*y = -y - 1110. Let u = w - y. Is u prime?
True
Suppose -2*v + 4 = u, -3*u + 4*v = -0*v + 8. Suppose u*l = -l - 1. Is l - (2 + (2 - 208)) a composite number?
True
Let z(g) = -3*g**2 + 17*g + 6. Let b be z(6). Suppose b = v - 0*v - c - 157, 3*v = -4*c + 499. Is v a composite number?
True
Let o(v) = v**2 - 6*v - 12. Let h be ((-36)/8)/(1/(-2)). Let w be o(h). Is 4*(-2 - w/(-4)) a composite number?
False
Suppose 0 = -20*q + 148124 + 124856. Is q a composite number?
False
Is 1/(-2) + 4/(24/27249) prime?
False
Suppose 15 = 4*n + n, 1849 = 2*m + 5*n. Is m prime?
False
Let y(d) = 6*d**2 - 33 + 14 + 14 - 4*d**2 + 3*d + 17*d**3. Is y(2) a composite number?
True
Let c(s) = -s**2 + 18*s - 17. Let u be c(17). Let f(x) = 2*x**3 - 2*x**2 - x + 163. Is f(u) a prime number?
True
Let u be 3/((2 - -1)/3). Suppose a + 0*b = -2*b + 13, u*a = -5*b + 34. Suppose -4*i + 336 = 5*h, 5*i - h + a*h = 403. Is i a composite number?
False
Suppose 5*j = 3*r + 2184, 446 = j - r + 5*r. Let w = j - 19. Is w a prime number?
True
Let d(g) = g**3 + 11*g**2 + 9*g - 6. Let a be d(-10). Let h = a + -4. Suppose -5*j + 5*v + 270 = h, -2*v = -2*j + v + 107. Is j prime?
False
Let h be (-3 - -3)/(3 + -4). Suppose h*o - 4*o = -9332. Is o composite?
False
Let p be (9/27)/((-2)/(-12)). Suppose -f = -0 - p. Is 1422/(-12)*f/(-3) composite?
False
Let c(x) = 8*x**2 + 14*x - 7. Is c(-18) a prime number?
True
Suppose 0 = 96*s - 103*s + 311269. Is s composite?
True
Let c(k) = k**3 + k**2 + k + 17. Let y be c(0). Is (-6)/51 + 3113/y a prime number?
False
Let u = 13348 - 6543. Is u a prime number?
False
Let w = 2245 - 1438. Is w prime?
False
Suppose 5*z - 40 = 6*w - 2*w, -2 = -3*z - 2*w. Suppose o = h + 47, -z*h + 9*h = 0. Is o a prime number?
True
Suppose -2*g + c + 54 + 0 = 0, 0 = 4*g + 4*c - 108. Let z = -21 + g. Suppose -5*n = -z*n + 85. Is n a prime number?
False
Is 1/(4/(-8)) + 4723 prime?
True
Let l = 9047 + -6088. Is l a composite number?
True
Let s be 4/(-8)*-12 + -3. Suppose -s*q = -6*q + 165. Is q composite?
True
Let c(u) = u**2 - 4*u + 3. Let x be c(2). Is 569 - 1 - 3/x prime?
True
Let r(s) = 6*s. Suppose -3*u + 2 = f - 6, -4*f + u = 7. Let j be r(f). Let x = 197 - j. Is x a prime number?
False
Suppose -9*u + 2768 = -5*u + 4*l, 0 = -5*u + 2*l + 3495. Is u a prime number?
False
Let k be (1 + 3)*(2 - 0)/4. Is k/((-8)/6)*2274/(-9) a prime number?
True
Suppose -5*i = -4*i - 358. Suppose -29*r = -27*r - 1030. Let w = r - i. Is w a composite number?
False
Let y(i) = -4*i - 12. Let b be y(-4). Is (-298)/b*(-12 + 10) composite?
False
Suppose 5 = t - 2*p, t + 4*p = p - 10. Let l(w) = -882*w**2 - w. Let s(x) = -2648*x**2 - 3*x. Let y(c) = 17*l(c) - 6*s(c). Is y(t) a prime number?
False
Let s = 23 - 20. Is (s - 5)/(6/(-165)) prime?
False
Suppose 0 = 2*n + 3*a - 4384, -a + 401 = -n + 2588. Is n a prime number?
False
Let d = -3 - -2. Let u(l) be the second derivative of -3*l**5/20 + l**4/6 + l**3/6 - 83*l. Is u(d) a composite number?
True
Let m = -50 + 53. Suppose m*n - 354 = -123. Is n a prime number?
False
Let f(s) = s**3 + s**2 + 4*s - 2*s**3 - 3*s - 45 + 256. Let y = -20 + 20. Is f(y) a composite number?
False
Suppose 5*s - 4*p = -208 + 46, s - 5*p = -45. Let j = s + 34. Let r(z) = 20*z - 9. Is r(j) a composite number?
False
Suppose 4*t - 50 = 2*t. Suppose h + 4*i = 21, -i = h + 4*i - t. Suppose -7*m - 1195 = -5*q - 2*m, -h*q = 2*m - 1167. Is q composite?
True
Suppose 0*r - 5966 = 2*r. Let i = r + 5304. Is i prime?
False
Suppose 4*d = 3*h + 231 + 226, 2*d - 4*h = 226. Is d a composite number?
True
Suppose -c + 4 = 0, -c + 4952 = 4*w + 240. Let f = w + 169. Is f a prime number?
False
Let c(s) = 2430*s**2 - 2*s + 3. Is c(2) prime?
True
Suppose -j + 290 = -3*d, -j - 5*d - 35 = -333. Let w = j + 174. Suppose -w = -5*a + 278. Is a a prime number?
True
Suppose 0 = -2*q + 29 - 319. Let h = 97 + 137. Let m = q + h. Is m a prime number?
True
Let t(y) = -4*y**3 - 8*y**2 + 2*y - 1. Let p be t(-8). Let a = p - 1029. Let w = a - 305. Is w prime?
False
Is (1/(-7) - (-26)/(-14)) + 5641 a composite number?
False
Suppose 7178*x - 7182*x = -333844. Is x composite?
True
Suppose -49*q = -44*q - 90. Suppose 142 + 246 = 4*r. Let u = r - q. Is u a composite number?
False
Suppose 42*y = 4398774 - 898536. Is y composite?
False
Suppose -b = t - 16839, 0 = 198*t - 193*t + 2*b - 84207. Is t prime?
True
Let n be ((-1)/(-2))/(3/54 - 0). Suppose 152 = j + n. Is j prime?
False
Is -1338*(-1)/12*10 a composite number?
True
Let d be (-30)/(2/(-50)*(3 + -1)). Suppose 0 = -5*u + 4*b + 2400 - d, -b + 5 = 0. Is u a prime number?
True
Let a(s) = s + 13. Let i be a(-7). Suppose 0 = -i*y - 34 - 14. Is (126/y - 4)*-4 composite?
False
Let r(k) = 5234*k**2 - 4*k + 4. Is r(1) a prime number?
False
Let o = 10580 + 71259. Is o a prime number?
True
Suppose 5*u - b + 30 = 2*b, 0 = -2*u - 5*b - 12. Let h(s) = -264*s**2 + 3*s - 6. Let l be h(u). Is l/(-60) + (-1)/(-5) a composite number?
True
Let f = 15567 - -17582. Is f prime?
True
Let b = 48 - -58. Let d = b + -72. Let n = -15 + d. Is n prime?
True
Let q(m) be the second derivative of m**7/210 + m**6/120 - m**5/120 - m**4/3 + 5*m. Let o(k) be the third derivative of q(k). Is o(4) a composite number?
True
Let r be (2/(-2) - -4) + 1. Suppose -3*u = u + r*j - 68, j - 77 = -5*u. Is (-20)/u*(-78)/4 prime?
False
Suppose -10*l - 73451 = -17*l. Is l a prime number?
False
Suppose -4*c + 20 = 0, -2*c - 3193 = 5*u - 65158. Is u composite?
False
Let n(f) = -f**2 + 11*f + 22. Let x be n(10). Let b = -31 + x. Is (1276/(-2))/(-3 + b) composite?
True
Suppose 44 = 3*c + c. Suppose u - c = -5*m + 25, 0 = 2*m - 4*u | {
"pile_set_name": "DM Mathematics"
} |
1235)
Simplify (q*q/q**(-2)*q)**(-7/4)*q**(-3/4)*q**2 assuming q is positive.
q**(-15/2)
Simplify (i/(i**(1/3)*i))**(-22/9)*i*i/(i/i**(-2/11)*i*i)*i*i**(-6)*i assuming i is positive.
i**(-1297/297)
Simplify ((z*z/(z*z/(z/(z*z**(-5/6))))*z)/z*z)/(z*(z/z**(-11))/z) assuming z is positive.
z**(-61/6)
Simplify (c**(-38)*c*c*c)/(c*c**(-10/11)*c) assuming c is positive.
c**(-397/11)
Simplify (m**(-4))**4 assuming m is positive.
m**(-16)
Simplify ((w**(1/5)*w)**7)**(2/9) assuming w is positive.
w**(28/15)
Simplify (q**(-1/6))**(-6) assuming q is positive.
q
Simplify ((f/(f**(-1/38)/f))/f)**(-13) assuming f is positive.
f**(-507/38)
Simplify f**(-5/3)/f**1*f/f**(1/4)*((f*f**(1/3)*f)/f)/f assuming f is positive.
f**(-19/12)
Simplify (m**(2/5))**(-33) assuming m is positive.
m**(-66/5)
Simplify n**(-6)*n*n**6*(n**3/n*n)/n**(-1/7) assuming n is positive.
n**(29/7)
Simplify (w**(-1/5))**29/(w**(1/5)*w/(w*(w*w*w*w*w/w**(-1/4)*w*w)/w)) assuming w is positive.
w**(1/4)
Simplify (t*t/(t*t**10/t)*t/t**(-5/6))**(1/41) assuming t is positive.
t**(-37/246)
Simplify (i*((i**(1/12)*i)/i*i)/i)/(i*i**(-1/11))*(i**(-1))**(-1/14) assuming i is positive.
i**(227/924)
Simplify r**(-4/7)/(r/(r**(-7)*r))*(r**(-2/9))**32 assuming r is positive.
r**(-925/63)
Simplify ((w**(1/3)*w)/w**(-1))/(w**0)**50 assuming w is positive.
w**(7/3)
Simplify (l**(2/9)/(l*l*(l/(l/l**6))/l*l))**13 assuming l is positive.
l**(-910/9)
Simplify ((r/(r/(((r/(r/r**(3/7))*r)/r)/r)))/(r/r**(-5)))**(-12/7) assuming r is positive.
r**(552/49)
Simplify ((v**2)**(-22/5))**(-1/14) assuming v is positive.
v**(22/35)
Simplify q**(-2/69)/(q/(q/q**(-10))) assuming q is positive.
q**(688/69)
Simplify a**(-5)*a**2*((a**(-1/3)*a)/a)**9 assuming a is positive.
a**(-6)
Simplify ((g**(-2/3))**(-2/43))**(2/7) assuming g is positive.
g**(8/903)
Simplify ((o/(o/(o**(-15)*o*o)))/o)/o*o*o**(-1/9) assuming o is positive.
o**(-127/9)
Simplify ((h/(h/(h*h/h**1)))/(h/(h/h**4)))/((h**2/h)/(h**(-2/7)*h)) assuming h is positive.
h**(-23/7)
Simplify (n**(-1/15))**(1/7) assuming n is positive.
n**(-1/105)
Simplify (t*t/((t**2*t)/t))**12*t**6/t*(t/(t*(t**8*t)/t))/t assuming t is positive.
t**(-4)
Simplify (g**(-2/15))**33 assuming g is positive.
g**(-22/5)
Simplify (b/(b*b**9)*b)**(4/27) assuming b is positive.
b**(-32/27)
Simplify (t*t**5)/(t/t**(1/15)) assuming t is positive.
t**(76/15)
Simplify (j**(-2)*j)**(-2)/((j**(-4)/j)/(j/(j/j**(-3))*j*j*j)) assuming j is positive.
j**7
Simplify (t*t*t**(1/11)*t*t)/t*(t/(t*t*t**(-17)*t))/t*t assuming t is positive.
t**(199/11)
Simplify ((i/(i*i*i*i**(3/5)*i))/(i*i*i**(-4)*i))/(i**(1/3))**(7/3) assuming i is positive.
i**(-152/45)
Simplify (a**(-7)*(a/(a/((a**(-2)/a*a)/a)))/a)/(a/a**(-1/10)*(a**(1/5)/a)/a) assuming a is positive.
a**(-103/10)
Simplify (q*(q*q**11*q)/q*q)/q**(-1/10) assuming q is positive.
q**(141/10)
Simplify (m**(-2/9))**(-37)/(m**(-2/5))**(-49) assuming m is positive.
m**(-512/45)
Simplify u**(-15)/u*u**14 assuming u is positive.
u**(-2)
Simplify (k/(k/(k/k**(-7/5))*k)*(k/k**(1/8))/k)**(-44) assuming k is positive.
k**(-561/10)
Simplify (((a/a**0)/a)/a*a*a**(-9))**32 assuming a is positive.
a**(-288)
Simplify (c*(c/(c/(c*c/(c**(1/3)/c))))/c*c*c)/c**6*c**5/((c**(-3)/c)/c) assuming c is positive.
c**(26/3)
Simplify (t*t*t/(t*t**(-15/8)*t)*t)/t**(-3/5) assuming t is positive.
t**(179/40)
Simplify q*q/(((q*q**(4/3))/q)/q)*q**(-21/2) assuming q is positive.
q**(-53/6)
Simplify (g/g**(-2/15)*g*g**(-2/3))/((g/(g*g*g*g/(g**4/g)))/g**(-8)) assuming g is positive.
g**(-98/15)
Simplify ((l/l**(-1))**(-4/17))**(6/19) assuming l is positive.
l**(-48/323)
Simplify p/((p*p**48)/p)*p*p**(-17) assuming p is positive.
p**(-63)
Simplify ((u*u**(-2))**(-14))**(15/11) assuming u is positive.
u**(210/11)
Simplify ((g/g**(-2/7))**(-3/29))**(-2/21) assuming g is positive.
g**(18/1421)
Simplify (h*h**(1/7)*h*h/((h*h**(2/3)/h*h)/h)*h*h)/(h**(-1/2)*h**(-5)) assuming h is positive.
h**(419/42)
Simplify ((r*r*r*r/r**(-5/4))/r**3)**(10/3) assuming r is positive.
r**(15/2)
Simplify (p**7)**(-7) assuming p is positive.
p**(-49)
Simplify ((g*g*g**(8/3)*g)/((g/g**(-2/13))/g*g))**(-1/4) assuming g is positive.
g**(-44/39)
Simplify (m**(3/7)*m/(((m/m**(-3))/m*m)/m))/(m/((m/(m*m**(-1)))/m))**(-9) assuming m is positive.
m**(52/7)
Simplify (p**(-1/3))**(-1/3)*((p**(-2)/p)/p)**(2/11) assuming p is positive.
p**(-61/99)
Simplify (o**(2/5)/o**(1/5))/(o/o**(3/5)*o*((o**3*o)/o)/o) assuming o is positive.
o**(-16/5)
Simplify (((b*b/(((b*((b**(-1)*b)/b)/b*b)/b*b)/b))/b)**(-21))**(1/28) assuming b is positive.
b**(-3/2)
Simplify w/((w/(w/((w**(-2/11)*w)/w)))/w)*(w*w**(-11/3))/w assuming w is positive.
w**(-49/33)
Simplify (j**1*j)**(-1/2)*(j*(j/j**(1/10))/j)/j*j*(j**(-1)*j)/j assuming j is positive.
j**(-11/10)
Simplify (i/(i*i**7*i))/i**(10/7) assuming i is positive.
i**(-66/7)
Simplify p*p/(p*p/(p*p/(p**(-20)/p)))*p**(-7/12) assuming p is positive.
p**(269/12)
Simplify u*u/u**(-5)*u**(-1)*u*u/(u*u**(-4)*u*u)*u*u*u/(u*u*u/(u/(u/u**(-3)))) assuming u is positive.
u**6
Simplify ((c**(-2))**(-6))**(21/2) assuming c is positive.
c**126
Simplify y**31/(y/((y*y**34)/y)) assuming y is positive.
y**64
Simplify ((n/(n/n**(2/3))*n)/n**(-3/10))/(n*n*n/(n*n**(6/11))*n*n/n**(-3/5)) assuming n is positive.
n**(-689/330)
Simplify (f*f**(-16))/(f/(f/(f**(2/7)/f*f))) assuming f is positive.
f**(-107/7)
Simplify ((i*(i*i**(1/2))/i)/(i**(-8)/i))/((i/i**(2/11))/(i/((i*i**(2/19))/i*i))) assuming i is positive.
i**(4003/418)
Simplify (g*g**22)/g*g*g*g**(6/13) assuming g is positive.
g**(318/13)
Simplify (d*d**10)/d*d**(-11) assuming d is positive.
1/d
Simplify ((i/i**(-3/8))/i*i**(-2/13))/(i**(2/3))**(-4/9) assuming i is positive.
i**(1453/2808)
Simplify (j*j*j**(-10))/(j/j**(-1/2)) assuming j is positive.
j**(-19/2)
Simplify (l**(5/4)/l)/l*l/(l**(-22)/l) assuming l is positive.
l**(93/4)
Simplify (g**(2/5)*g*g**(-1/10))**27 assuming g is positive.
g**(351/10)
Simplify c/c**34*c**(-1/9) assuming c is positive.
c**(-298/9)
Simplify (((a**(3/7)/a)/a)**(-12/13))**(-1/10) assuming a is positive.
a**(-66/455)
Simplify (r/(((r**(4/3)/r)/r)/r))**(-11/2) assuming r is positive.
r**(-44/3)
Simplify q**(1/7)/q**(4/7)*(q/q**(-1/4))**(-14) assuming q is positive.
q**(-251/14)
Simplify (r**(2/5))**(1/25)/((r/((r*r/r**0)/r)*r)/r)**(2/5) assuming r is positive.
r**(2/125)
Simplify (((i/(i/((i**(-7)*i)/i)))/i*i)/(i**1*i))/(i/i**(-1/3))**46 assuming i is positive.
i**(-211/3)
Simplify ((f*f**(1/32)*f)/f)/(f*f**(-8)*f*f) assuming f is positive.
f**(193/32)
Simplify (t**(3/7)/t*t*t**(-2)/t)/((t**7*t)/(t**7/t)) assuming t is positive.
t**(-32/7)
Simplify ((z*((z/((((z/(z*(z*z**(-1/3))/z))/z)/z)/z))/z)/z)**4)**(-18) assuming z is positive.
z**(-192)
Simplify ((t*t**3*t*t)/t**(-5))/(t/t**(-2/9))**14 assuming t is positive.
t**(-55/9)
Simplify ((g**(1/7)/g)/(g/(g/(g**2/g))))**(-13) assuming g is positive.
g**(169/7)
Simplify (q*(q/(q*q/((q*q*q/q**(3/2))/q)*q)*q*q)/q)/q*q*q*(q/(q**(1/3)/q))/q*q*q*(q*q/(q*q/q**(-6/5))*q)/q*q*q**(3/4)/q assuming q is positive.
q**(223/60)
Simplify (o*o**(3/11))**(-1) assuming o is positive.
o**(-14/11)
Simplify ((o/o**(-2/3))**17)**(-2/3) assuming o is positive.
o**(-170/9)
Simplify w**(3/2)*w/(w*w**11) assuming w is positive.
w**(-19/2)
Simplify ((l**7/l)/(l**(1/7)*l*l*l))**(-8/3) assuming l is positive.
l**(-160/21)
Simplify (q**(2/3)/q**(-1))**(-27) assuming q is positive.
q**(-45)
Simplify n*n/(n**(-13)*n)*n/(n*n**(-1/39)) assuming n is positive.
n**(547/39)
Simplify (z*z*(z*z**7/z)/z*z*z)/(z/z**(-6)*z)*(z**(-1/5)*z)/z**8 assuming z is positive.
z**(-26/5)
Simplify ((g**(-1/8)*g)/(g*g**(-4)))/(g**4*(g*g/(((g*g/(((g**3/g)/g)/g)*g*g)/g)/g)*g)/g) assuming g is positive.
g**(-1/8)
Simplify b**(13/3)/b*b/b**(-2/3) assuming b is positive.
b**5
Simplify x**(-2/15)/(x/x**5)*x**9/(x*x**(1/8)) assuming x is positive.
x**(1409/120)
Simplify ((f**1)**12)**(-1/6) assuming f is positive.
f**(-2)
Simplify (c/(c**20/c))/(c/(c**(-1/6)/c)) assuming c is positive.
c**(-121/6)
Simplify (d**(3/4))**(-34) assuming d is positive.
d**(-51/2)
Simplify (v**(-2/3)/v*v**(-1/2))/(v**(-2/7)*v/v**(-2/3)) assuming v is positive.
v**(-149/42)
Simplify ((k/k**(-4/7))/(k/(k**(-3/4)*k)))/(k**4*k**(1/5)/k) assuming k is positive.
k**(-333/140)
Simplify (o | {
"pile_set_name": "DM Mathematics"
} |
many centuries are there in thirty-one halves of a millennium?
155
What is twenty-one eighths of a microgram in nanograms?
2625
How many microseconds are there in 742981.7 milliseconds?
742981700
How many nanoseconds are there in 227.1696 milliseconds?
227169600
How many micrometers are there in 8.49002mm?
8490.02
What is six fifths of a microgram in nanograms?
1200
Convert 2.579736ml to litres.
0.002579736
How many milliseconds are there in 9/10 of a minute?
54000
How many grams are there in 6/5 of a kilogram?
1200
Convert 2308226.13 minutes to weeks.
228.9906875
How many seconds are there in 1/96 of a week?
6300
Convert 1.864147ug to tonnes.
0.000000000001864147
How many micrometers are there in eleven eighths of a millimeter?
1375
What is 450.2294mg in tonnes?
0.0000004502294
How many seconds are there in 25/4 of a minute?
375
What is 1/4 of a litre in millilitres?
250
What is 629257.2 micrograms in nanograms?
629257200
How many micrometers are there in 63321.18 nanometers?
63.32118
How many millilitres are there in fourty-four fifths of a litre?
8800
What is 9.152683 millennia in centuries?
91.52683
How many millilitres are there in 11/2 of a litre?
5500
Convert 172.398 litres to millilitres.
172398
Convert 79.2335um to meters.
0.0000792335
Convert 0.8520069 millilitres to litres.
0.0008520069
Convert 72035.04ms to microseconds.
72035040
How many centimeters are there in fourty-five quarters of a meter?
1125
What is 1/20 of a millisecond in microseconds?
50
What is 7/6 of a minute in seconds?
70
What is 27/4 of a microgram in nanograms?
6750
What is 210817.41 months in years?
17568.1175
How many grams are there in one twentieth of a tonne?
50000
How many meters are there in five eighths of a kilometer?
625
How many nanograms are there in 710.6851 milligrams?
710685100
How many micrometers are there in 64.67386 nanometers?
0.06467386
How many minutes are there in 17/9 of a day?
2720
Convert 2.629413 meters to micrometers.
2629413
How many grams are there in 97.75006 tonnes?
97750060
Convert 670.1579l to millilitres.
670157.9
Convert 2.593885 weeks to minutes.
26146.3608
What is five eighths of a millennium in months?
7500
How many millilitres are there in 26737.55 litres?
26737550
What is fourty-five quarters of a litre in millilitres?
11250
What is 3/10 of a decade in months?
36
How many days are there in 556105.68 minutes?
386.1845
What is eight fifteenths of a hour in minutes?
32
How many micrograms are there in 3/32 of a gram?
93750
Convert 497.034ml to litres.
0.497034
How many months are there in one quarter of a millennium?
3000
What is 789.3453 grams in micrograms?
789345300
What is 803.3836nm in meters?
0.0000008033836
What is 4/15 of a hour in seconds?
960
What is thirty-three fifths of a meter in millimeters?
6600
What is 21/4 of a microgram in nanograms?
5250
What is 3/10 of a meter in centimeters?
30
What is 25/2 of a litre in millilitres?
12500
How many millimeters are there in twenty-one halves of a centimeter?
105
What is 4/15 of a century in months?
320
What is fifty-seven fifths of a hour in minutes?
684
What is thirty-one halves of a microgram in nanograms?
15500
Convert 45.50059mm to centimeters.
4.550059
Convert 6903.173 seconds to microseconds.
6903173000
How many grams are there in 1/5 of a kilogram?
200
Convert 0.290215 micrograms to nanograms.
290.215
What is twenty-one quarters of a century in months?
6300
How many millilitres are there in twenty-five eighths of a litre?
3125
What is 0.549976 centuries in years?
54.9976
How many microseconds are there in 6/5 of a millisecond?
1200
What is 31/5 of a kilogram in grams?
6200
What is 77.62563 millilitres in litres?
0.07762563
How many centimeters are there in 3/10 of a meter?
30
How many nanometers are there in 716042.1 centimeters?
7160421000000
What is 5/24 of a minute in milliseconds?
12500
How many grams are there in 6051.721ug?
0.006051721
What is 15.90867l in millilitres?
15908.67
What is 53.65151 litres in millilitres?
53651.51
What is 965921.1 seconds in milliseconds?
965921100
What is 28.47726 weeks in hours?
4784.17968
Convert 0.9140081 centuries to decades.
9.140081
How many micrometers are there in 34/5 of a millimeter?
6800
Convert 14.144538 hours to days.
0.58935575
Convert 22.30523 hours to milliseconds.
80298828
What is four thirds of a minute in milliseconds?
80000
What is twenty-one eighths of a gram in milligrams?
2625
What is six fifths of a kilometer in meters?
1200
Convert 3004.911ml to litres.
3.004911
Convert 26875.4 decades to months.
3225048
How many micrograms are there in 58232.51 kilograms?
58232510000000
What is 3/40 of a litre in millilitres?
75
Convert 0.7098226l to millilitres.
709.8226
How many micrograms are there in 3/40 of a milligram?
75
What is 803.7397kg in nanograms?
803739700000000
Convert 0.767333 milliseconds to microseconds.
767.333
Convert 52.55789 milliseconds to microseconds.
52557.89
How many centuries are there in 56796.79 millennia?
567967.9
What is 3/5 of a litre in millilitres?
600
How many months are there in one sixth of a century?
200
How many micrograms are there in seven quarters of a milligram?
1750
What is one twentieth of a microgram in nanograms?
50
What is three eighths of a century in months?
450
What is 68288.1759 milliseconds in weeks?
0.00011291034375
What is 11/2 of a litre in millilitres?
5500
Convert 3992.368 grams to tonnes.
0.003992368
What is 1/10 of a century in months?
120
What is 25/2 of a milligram in micrograms?
12500
How many millilitres are there in one quarter of a litre?
250
Convert 4800.747 micrograms to milligrams.
4.800747
What is thirteen fifths of a tonne in kilograms?
2600
What is 3/5 of a second in milliseconds?
600
Convert 6384.93ml to litres.
6.38493
Convert 16.609392 months to decades.
0.1384116
Convert 3802.143 millimeters to nanometers.
3802143000
How many millilitres are there in 6205.189l?
6205189
What is 66.77202 microseconds in nanoseconds?
66772.02
How many grams are there in fifty-two fifths of a kilogram?
10400
How many micrograms are there in 874247.8t?
874247800000000000
How many hours are there in 23/6 of a day?
92
What is five quarters of a litre in millilitres?
1250
What is 6424.015ng in grams?
0.000006424015
How many years are there in 2.347241 decades?
23.47241
What is 6/25 of a litre in millilitres?
240
How many seconds are there in 2/27 of a day?
6400
How many months are there in 5/6 of a year?
10
How many years are there in 2.8440111 months?
0.237000925
What is 0.7190879t in micrograms?
719087900000
What is 32/5 of a century in months?
7680
What is 96.73138g in nanograms?
96731380000
What is fifteen quarters of a millennium in months?
45000
Convert 37556.88 grams to nanograms.
37556880000000
How many decades are there in 2.6710791 months?
0.0222589925
How many millilitres are there in twenty-five eighths of a litre?
3125
What is four fifteenths of a day in seconds?
23040
How many micrometers are there in 1640.978 centimeters?
16409780
How many milligrams are there in five eighths of a gram?
625
How many decades are there in 12/25 of a millennium?
48
What is 609096.1mm in centimeters?
60909.61
How many microseconds are there in 9.727497 hours?
35018989200
What is 9/10 of a litre in millilitres?
900
What is three eighths of a litre in millilitres?
375
How many litres are there in 0.758587 millilitres?
0.000758587
How many minutes are there in 547853.6 weeks?
5522364288
How many months are there in twenty-five halves of a century?
15000
What is 1/10 of a tonne in grams?
100000
What is 5/4 of a tonne in kilograms?
1250
How many months are there in 3/25 of a century?
144
How many grams are there in thirty-three tenths of a kilogram?
3300
Convert 240.55527 months to decades.
2.00462725
Convert 23.421798ms to days.
0.000000271085625
What is 5/6 of a day in hours?
20
What is 1.093239 nanometers in meters?
0.000000001093239
Convert 471.1298 seconds to nanoseconds.
471129800000
What is 43/4 of a meter in millimeters?
10750
What is 68.49202 years in centuries?
0.6849202
How many millilitres are there in one fifth of a litre?
200
What is 1/4 of a micrometer in nanometers?
250
Convert 88193.54 grams to nanograms.
88193540000000
How many millennia are there in 896980.3 | {
"pile_set_name": "DM Mathematics"
} |
m**2 + m - 1. What is the smallest common multiple of u and o(2)?
45
Suppose -2*t - 351 = -3*i, 135 = 3*i + 3*t - 201. Calculate the common denominator of -43/4 and i/(-6) + -1 + 2.
12
Suppose 0 = k, 0*x = -x + 3*k. Suppose 0 = -3*g - x*g + 33. What is the smallest common multiple of g and 6?
66
Let v(t) = -t**2 + 5*t. Let b be v(5). Suppose -2*l + b = -2. Calculate the lowest common multiple of 1 and l.
1
Let m = -2 + 5. Suppose -5*v - 16 = 54. Calculate the smallest common multiple of (1 - v) + m + -6 and 3.
12
Calculate the common denominator of 26/11 and (-18)/72 + 79/4.
22
What is the least common multiple of ((4 - 2) + -1)/((-5)/(-45)) and 7?
63
Let k = -85/4 + 99/4. Let t be 1 - 2 - (-1 + 4). Calculate the common denominator of ((-1)/t)/((-10)/(-74)) and k.
20
Let n = -197957/43576 - 1090/419. Let s = n + 59/26. Calculate the common denominator of s and 61/20.
40
Let p = 568063/6 + -95392. Let v = p + 725. Find the common denominator of -13/11 and v.
66
Suppose -2 = -q - 1. Suppose q + 49 = 5*h. Calculate the least common multiple of h and 16.
80
Let p be -1*-2*(-2)/4. Let j(q) = -11*q - 1. What is the smallest common multiple of 2 and j(p)?
10
Let k = -4 - 0. Let s = k - -4. What is the smallest common multiple of 8 and 7*(2 + (-1 - s))?
56
Suppose 2*c - 4 = -k - 0*c, -5*c - 5 = -5*k. Suppose 4 = 2*o - 6, 13 = -k*n + 5*o. What is the least common multiple of n and 4?
12
Let w be 6/(-27) - (-628)/(-9). Let s be (-2)/(-4) - w/4. What is the smallest common multiple of (1 - 0 - -1) + s and 4?
20
Let s = 16 + -8. What is the least common multiple of 12 and s?
24
Suppose -4*h - 110 = -9*h. What is the lowest common multiple of 6 and h?
66
Let v = 87802/19 + -413223/190. Let y = 2440 - v. Find the common denominator of (26/(-4))/(33/18) and y.
110
Calculate the least common multiple of 6 and -5 + (-4 + 18 - -1).
30
Let s(a) = -2*a + 6. Let t = 12 - -4. Calculate the lowest common multiple of s(-8) and t.
176
Let t = 86881/14676 - 4/1223. Let m = -427/90 - 7/10. Calculate the common denominator of m and t.
36
Let o be 26/10 + (-4)/(-10). Let x = o - 0. Suppose -z + 15 - 10 = 0. What is the smallest common multiple of x and z?
15
Let c(x) = -7*x**2. Suppose 4*r - 8 = 2*b, 0*r = -3*r - 3*b - 3. Let p be c(r). Calculate the least common multiple of (-2)/p - (-15)/21 and 6.
6
Let s = 2598 - 28609/11. Find the common denominator of s and 18/(-45) - 0 - 233/5.
11
Let r be ((9051/4)/1)/(-12). Let b = r + 193. Find the common denominator of (513/18)/(-7 - (-2 + 0)) and b.
80
Calculate the common denominator of 56/5 and (-1 - -2) + (-1330)/(-756).
270
Let m = -12 + 21. Suppose -4*p + 6 = -2*p. What is the least common multiple of m and p?
9
Let s be (-214)/12*302/4. Let m = s - -5465/4. What is the common denominator of m and (-1092)/480 - 2/(-5)?
24
Let h be (14 + 0)*147/(-14). Calculate the common denominator of 101/6 and (-3)/(-2)*h/27.
6
Let d(z) = -z**3 + 2*z + 1. Let f be 3/(-4) - 35/28. Calculate the smallest common multiple of d(f) and 11.
55
Suppose -y = -6*y + 50. Suppose 3*n = 2*v + 7, -2*n + 6*n + 2*v = 14. Let z = 23 - n. Calculate the lowest common multiple of z and y.
20
Let o(i) = -i**2 - 6*i - 1. Let f be o(-5). What is the common denominator of 32/(-6) + -1*2 and ((-3)/f)/(12/200)?
6
Let j be (-2 + 4)*(-9)/6. Let p = j + 14. Calculate the lowest common multiple of 11 and p.
11
Suppose -5*u - 1 = 4. Let j(m) = m. Let h(f) = 222*f. Let o(p) = -h(p) + 185*j(p). Find the common denominator of -52/7 and o(u).
7
Suppose -x + 5 = 4*l, 15 = -x + 4*x - 2*l. What is the lowest common multiple of x and 10?
10
Suppose -z - z = -18. Let v = 4 + -3. What is the least common multiple of v and z?
9
Let a = 78 - 25. Suppose 5*o + k = -0*k + 85, -3*o - k = -a. Calculate the smallest common multiple of 22 and o.
176
Suppose -2*m - 62 = -3*n + 2*m, -n + m + 21 = 0. Calculate the lowest common multiple of n and 20.
220
Suppose -15*c = -8*c - 189. Calculate the lowest common multiple of 3 and c.
27
Suppose -5*v + 10 + 10 = 0. What is the lowest common multiple of v and 15?
60
Let w = 3221 + 1654. Let m = -68323/14 + w. What is the common denominator of (1/(-24))/(3/(-618)) and m?
84
Let d = -1 - -49. Calculate the least common multiple of 8 and d.
48
Let t = -5 + 21. What is the least common multiple of t and 12?
48
Let t(f) = -2*f - 10. Let g be t(-8). Calculate the lowest common multiple of (-4)/g*6/(-4) and 8.
8
Suppose 0 = -5*r + 9*r. Calculate the common denominator of r + 170*(-1)/(-4) and (1 - 17/(-16)) + -1.
16
Let l = -63/20 - -27/4. Calculate the common denominator of -97/4 and l.
20
Let q = -11 + 16. Let c(z) = 6*z - 2. Let g(a) = 5*a - 1. Let m(t) = -4*c(t) + 5*g(t). Calculate the lowest common multiple of m(q) and 3.
24
Suppose -2*a = -0*a - 8. Suppose 2*h + 12 = 2*c, 13 = 2*c - h - 4. Calculate the smallest common multiple of c and a.
44
Suppose 5*f + 10 + 15 = 0, f + 53 = 3*d. What is the least common multiple of d and 18?
144
Let o(f) = -21*f**2 + 2*f + 1. Let h be o(-1). Let j = -950 - -1991/2. Calculate the common denominator of (-10)/(-6)*(-54)/h and j.
22
Suppose -7 = 2*b + 4*i - 1, 5 = -i. Let r = 131 - 122. Calculate the lowest common multiple of b and r.
63
Suppose 0*j = 2*j - 12. What is the smallest common multiple of 19 + -18 - -10*(-2)/(-2) and j?
66
Let y be (18/7)/(6/56). Suppose 0 = 5*d - y + 9. What is the lowest common multiple of d and 2?
6
Let c be (32/(-24))/(4/(-6)). Suppose 0 = -2*b - 4*d + c, -5*b + 5*d - 29 = 11. Find the common denominator of 37/2 and b.
2
What is the smallest common multiple of 28/49*(-14)/(-4) and 10?
10
Let w(n) = -3*n**3 - 3*n**2 - n. Suppose -5*f + 3*i = -0*i - 67, 0 = -3*f - 5*i + 47. Calculate the least common multiple of f and w(-2).
14
Suppose 2*h - 108 = -2*h. Suppose 0 = -3*v + h + 9. What is the smallest common multiple of v and 4?
12
Let u be 2/(-3) + (-4)/(-6). Let i(p) = p + 4. Let k = 3 - -8. Calculate the lowest common multiple of i(u) and k.
44
Let j(h) be the first derivative of h**4/4 - 2*h**3/3 + h**2 - h + 3. Let a be j(2). What is the common denominator of (-76)/(-3)*a/9 and -30/11?
99
What is the least common multiple of 2 and 41 - (-3 + (1 - (2 - 3)))?
42
Suppose x - 1 = -0. Suppose -3*t + 2*t = -3. Suppose w - 2*w - x = -t*s, -3*w + 39 = 5*s. What is the least common multiple of 1 and w?
8
Let k = 100063051/129132 + -11/14348. Let d = -781 + k. Calculate the common denominator of d and -35/8.
72
Let s(n) = -n**3 + 6*n**2 - 4*n - 4. Calculate the least common multiple of s(5) and 10.
10
Suppose 0 = -l + r + 25, r - 5*r = l - 15. Let d = l + -1. Let j(u) = u + 4. Calculate the lowest common multiple of j(0) and d.
44
Let i be (-78)/5 + (-2)/5. What is the common denominator of (-190)/i + (-3)/6 and -53/3?
24
Let t = -18657/1298 + 604/59. Let k = 3645/4 - 919. What is the common denominator of k and t?
44
Let u(v) = v**3 + 2*v**2 - 2*v - 1. Let n be u(-2). Suppose 18 = 5*w + n. Calculate the common denominator of 15/14 and (-1)/w - (-355)/(-150).
70
Let b = -6 - -12. Suppose 0 = 2*y + y - 12. Suppose y*l + j = 31, 2*l + j = b*j - 1. What is the least common multiple of 10 and l?
70
Let n = 21 + -8. Let v = n - 22. Calculate the common denominator of -73/2 and (v + -1)/((-12)/14).
6
Let n(c) = 3*c - 4. Let f be n(-4). Let j be (2 + f/6)*3. Calculate the smallest common multiple of (-25)/j - 3/6 and 20.
60
Let q = 13749/5236 + 5/476. What is the common denominator of q and (53/4)/(-5 + 6)?
44
Let c = 10 + -6. What is the least common multiple of 10 and c?
20
Suppose -24 = 2*a - 6*a. Let c(z) = z**3 + 6*z**2. Let g be c(-6). Let u = 20 + g. What is the lowest common multiple of u and a?
60
Find the common denominator of ((-9)/(-40))/((-3)/78) and -35/3.
60
Find the common denominator of -11/6 and ((-5)/((-450)/122))/(2/(-6)).
30
Let c(q) = -5*q - 2 - 4 + q - 2. What is the smallest common multiple of 16 and c(-6)?
16
Let n = -2404 - -12077/5. Let i = -19 + n. Calculate the common denominator of i and -1 - 186/16*-1.
40
Let l(c) = 3*c + 7. What is the lowest common multiple of 12 and l(5)?
132
Let t = 15 + -12. Suppose -2*v + 5*w + 30 = 0, v - 36 = -2*v + t*w. Calculate the smallest common multiple of v and 22.
110
Let a(q) = -q**3 - 15*q**2 + 16*q - 2. Let y be a(-16). Let v | {
"pile_set_name": "DM Mathematics"
} |
-0.09? (a) -4 (b) 28 (c) 6/7 (d) -1/2
d
Which is the closest to 0.1? (a) -1/9 (b) 17.1 (c) 1
a
What is the nearest to 1 in -31, 0, 3?
0
What is the closest to 1 in 8, -10, 5?
5
What is the closest to 102 in 4, -2, 2/51?
4
Which is the closest to 0.2? (a) -5 (b) 2 (c) 0 (d) -20
c
What is the closest to -36 in -0.4, 0.5, -2/7, -4?
-4
Which is the nearest to -2/3? (a) -2.7 (b) 0.2 (c) 2/13 (d) -1/5
d
Which is the closest to 301/4? (a) -0.4 (b) -1 (c) 2/13
c
Which is the closest to 1? (a) -0.3 (b) 0.4 (c) 0.06 (d) 2/19
b
Which is the nearest to 1? (a) -3/7 (b) 3 (c) 8
a
What is the nearest to -0.1 in 32, 3/4, 4, -3?
3/4
Which is the nearest to -0.1? (a) 4 (b) 7 (c) 1/2 (d) 2/3
c
Which is the nearest to -2/21? (a) -10/9 (b) -0.1 (c) -11
b
What is the nearest to 18/7 in 3, 4/3, 5, 4/7?
3
What is the nearest to -0.05 in 0, -1/2, -4, 2/13?
0
Which is the nearest to 0.1? (a) 5/3 (b) -4 (c) 9 (d) -0.1
d
Which is the nearest to 1? (a) -6/7 (b) 2 (c) 0.3 (d) -1/3
c
What is the closest to 1 in -1/6, -7/18, -0.5?
-1/6
What is the nearest to 0.05 in 28, 2/3, 1?
2/3
What is the closest to -2 in -8, 40, -1?
-1
Which is the closest to 1? (a) -3 (b) 0.6 (c) 3 (d) 1/3
b
Which is the closest to -6? (a) 6 (b) -1/13 (c) 0.5
b
Which is the closest to 1/3? (a) 2/57 (b) -5/2 (c) -1
a
What is the nearest to -2 in 5, 10, -115?
5
Which is the closest to 1? (a) -2 (b) -3 (c) -1/6 (d) -0.02
d
Which is the nearest to -2/5? (a) -2/9 (b) 0.2 (c) -0.2 (d) 24
a
What is the closest to 1/8 in 0.4, 1/7, -4/7, -1/3?
1/7
What is the closest to -2/9 in -0.1, 0.4, 4/5, 1?
-0.1
Which is the nearest to -7/5? (a) 8 (b) -6/11 (c) -4
b
Which is the closest to 15/8? (a) 6/11 (b) 0.07 (c) 0.5
a
What is the nearest to -17 in -2, -0.5, -2/15, -3/5?
-2
What is the nearest to 14 in -2/13, -60, 0.3?
0.3
Which is the closest to -19/2? (a) -1 (b) 4 (c) 2/7 (d) 4/11
a
Which is the closest to -0.14? (a) 0.3 (b) -2 (c) -912
a
Which is the closest to -3/4? (a) -2/7 (b) -2/15 (c) -4 (d) 4/5
a
Which is the closest to 0.1? (a) 4 (b) -1 (c) -2484
b
Which is the nearest to 3/7? (a) -28 (b) -5 (c) -0.1 (d) 0
d
What is the nearest to 2/5 in 0.2, -3/16, -4, 8?
0.2
Which is the closest to -1/4? (a) 11 (b) -0.4 (c) -3/2
b
Which is the closest to 0.11? (a) 0.5 (b) -0.5 (c) -0.4
a
What is the closest to -4 in -3, 0.1, -0.01, -4?
-4
What is the nearest to -0.1 in -3/7, 92, -28?
-3/7
Which is the closest to -33? (a) -0.2 (b) -0.5 (c) 3
b
Which is the closest to 2? (a) 8 (b) 0.4 (c) -2/17 (d) -0.05
b
Which is the nearest to 0.9? (a) -0.5 (b) 0 (c) -2/21
b
What is the closest to 0 in 5, 4, 0.2?
0.2
Which is the nearest to -77.9? (a) 4 (b) -0.3 (c) 3
b
What is the nearest to -1 in 11, 2/5, -3/5, 2/9?
-3/5
Which is the nearest to 1? (a) -3/4 (b) -3/5 (c) 3 (d) 0.2
d
Which is the closest to -2/5? (a) -1/4 (b) 2 (c) -2 (d) -1
a
Which is the closest to 2? (a) 1.5 (b) -3/5 (c) -1
a
What is the closest to 1/2 in 14, -2, 4, -1?
-1
Which is the nearest to 3.6? (a) 0.2 (b) -3 (c) 0.5
c
Which is the closest to 6? (a) 3/5 (b) -71 (c) 3/2
c
What is the closest to 0 in -29, 2/5, -4/5, 5?
2/5
What is the nearest to 2/3 in -1/2, 2/11, -12/11?
2/11
Which is the closest to -0.2? (a) 3 (b) -2 (c) -0.5 (d) 5
c
Which is the nearest to -0.2? (a) 0.68 (b) -0.5 (c) -5
b
What is the closest to -1 in 0.11, 1, 0.5, -1/6?
-1/6
What is the nearest to 2 in 2, 2/5, -0.4, -0.006?
2
Which is the closest to -2/17? (a) 0.2 (b) -2 (c) -0.15
c
Which is the closest to -2? (a) -0.5 (b) -2 (c) -9
b
Which is the closest to -3/7? (a) -1 (b) 5 (c) 149
a
What is the closest to 0.2 in 0.1, -25, 4/7?
0.1
What is the nearest to 0.024 in 6, -0.5, -2/3, 3?
-0.5
What is the nearest to 0.03 in -0.7, -3, -4, 36?
-0.7
Which is the nearest to 0.1? (a) -5/6 (b) 4 (c) 2/9 (d) 0.097
d
What is the nearest to 1 in -5, -0.1, -1, 0.5?
0.5
Which is the nearest to 0? (a) 10 (b) -0.1 (c) 0.3
b
What is the nearest to -3 in 0.1, 5, -2/21, -9?
-2/21
Which is the nearest to 0.5? (a) -4 (b) 9 (c) 2/13 (d) -1/6
c
Which is the closest to 37? (a) 0.1 (b) 1/12 (c) -4
a
Which is the nearest to -4? (a) 4 (b) -0.1 (c) 13 (d) 1/7
b
Which is the nearest to 2? (a) 0 (b) -2/15 (c) 4/7 (d) -0.2
c
What is the closest to -1 in -2, 2/15, -0.5, -48?
-0.5
What is the nearest to 0 in -1, -17, -0.1, 3?
-0.1
Which is the nearest to -2? (a) -2.1 (b) 1/7 (c) -5
a
What is the closest to 1138 in 0.5, 4, -2?
4
Which is the nearest to 2/3? (a) 2/7 (b) 2 (c) -22
a
What is the closest to 2 in -1, -0.4, -10, 3?
3
What is the closest to 6 in 0.2, -2/35, 3?
3
Which is the nearest to -2/7? (a) -3 (b) -1 (c) 3/5 (d) -5
b
Which is the nearest to -29? (a) 0 (b) -5 (c) -3
b
Which is the closest to 2/3? (a) 0.5 (b) 2 (c) 5 (d) 1/6549
a
Which is the closest to 0.3? (a) -1 (b) -1/8 (c) -2
b
What is the nearest to 2 in 3, -37, -2, -3?
3
What is the closest to -0.02 in 1/3, 0.3, -2/7, -2?
-2/7
What is the nearest to 326 in -4, -5, 0.3?
0.3
Which is the nearest to 1? (a) 0.1 (b) -1 (c) -4.2 (d) 2/3
d
Which is the closest to 3/4? (a) 0.1 (b) 6 (c) 0.2
c
What is the closest to 1/4 in 0.4, 8, -0.5, -1/3?
0.4
What is the nearest to -2/3 in -1/27, 4, -3, 2?
-1/27
Which is the nearest to -1? (a) 27 (b) -6 (c) 1/5 (d) 2/5
c
Which is the closest to 0? (a) 0.01 (b) 3 (c) 1/2 (d) 0.04
a
What is the nearest to 237 in -3, 4, 0?
4
What is the closest to 0 in -0.1, 47/2, 1?
-0.1
What is the nearest to 3 in -6/29, -2/9, 4, -0.03?
4
What is the nearest to -2/5 in -5, 1, 0, 0.4?
0
Which is the closest to -2/11? (a) 0.4 (b) 3/2 (c) -5 (d) -1/6
d
Which is the closest to 2/5? (a) 2379 (b) -1 (c) 2
b
Which is the closest to -1/2? (a) -3 (b) 1/8 (c) -2/3 (d) 0.08
c
What is the nearest to 0.1 in 5, 2/11, 15, -0.5?
2/11
What is the closest to 0.1 in 1, -3, -4, 4?
1
What is the nearest to 1 in 4/7, 2.5, 3/4?
3/4
Which is the closest to -2/3? (a) 4 (b) 0.5 (c) -1/7 (d) -0.4
d
What is the nearest to -2/7 in -1/10, -0.3, 1/3, 2?
-0.3
Which is the closest to -0.1? (a) -0.4 (b) -7/103 (c) -2 (d) 0
b
Which is the closest to -2/5? (a) 1/4 (b) -3 (c) -2/5 (d) -0.16
c
Which is the nearest to -0.2? (a) -3 (b) 3.56 (c) 4
a
What is the closest to 1/4 in -0.19, 2, -29?
-0.19
What is the closest to -1 in 3, 0.1, 2/13, 14?
0.1
Which is the nearest to 0.1? (a) -4 (b) 49 (c) -1/3 (d) 8/3
c
What is the closest to 140/3 in 4, 0.1, -2, -4?
4
What is the closest to -0.1 in 5, -0.06, -1, 0.42?
-0.06
Which is the nearest to -1/4? (a) 29 (b) -2 (c) 6
b
Which is the nearest to 4? (a) 5 (b) -1/8 (c) -4 (d) -0.06
a
Which is the nearest to 0.1? (a) -3 (b) 4/3 (c) 4.926
b
What is the nearest to 1/3 in 0.0041, 0.4, 14, -0.1?
0.4
What is the closest to -5 in -0.14, 5, 1?
-0.14
Which is the nearest to 0? (a) 5 (b) -2 (c) 0.06
c
Which is the closest to -1/3? (a) 81 (b) 2 (c) -4/5
c
Which is the closest to 0? (a) 6 (b) 7 (c) -0.5 (d) 1
c
Which is the nearest to -2/3? (a) -195 (b) -4 (c) -3 (d) 1/4
d
Which is the nearest to 0.1? (a) 14 (b) -4 (c) 2 (d) 0.4
d
What is the closest to 8 in 0.1, 6, 3, 2/13?
6
Which is the nearest to 0.1? (a) -5 (b) -0.2 (c) 12
b
What is the closest to 0 in 0.5, 0.2, -1/4, 54?
0.2
Which is the closest to -0.2? (a) 9/8 (b) -4 (c) 0.4 (d) -0.11
d
What is the nearest to -1 in 4, 0.01, 0.5, 7?
0.01
Which is the closest to -11? (a) 179 (b) -1 (c) -2/3
b
Which is the nearest to -2/5? (a) -2 (b) -21 (c) -0.1 (d) -2/3
d
What is the closest to -3 in 3/10, -4, 0, -0.06?
-4
Which is the nearest to -9? (a) -3 (b) 0.1 (c) -2/25
a
What is the nearest to 2/7 in -2/9, -681, 0.2?
0.2
Which is the closest to -6? (a) 3/5 (b) -54 (c) 0.2
c
Which is the closest to -0.1? (a) -1 (b) -4 (c) 2/9 (d) -0.4
d
Which is the nearest to -1? (a) 0.1 (b) -3 (c) -1186
a
Which is the nearest to -0.03? (a) -1 (b) -0.74 (c) 1/5 (d) -0.1
d
Which is the closest to -9/5? (a) -0.3 (b) -9 (c) -3/2
c
Which is the closest to 0.1? (a) -0.1 (b) -1/6 (c) 48
a
What is the closest to 2 in 1, 2/13, 2/7, -2?
1
Which is the nearest to 17? (a) 10 (b) -0.4 (c) 4 (d) -1
a
What is the closest to -0.019 in -2/11, 5, -0.3, 1/5 | {
"pile_set_name": "DM Mathematics"
} |
?
373036
What comes next: -579, -614, -649, -684, -719?
-754
What is the next term in 61510, 61452, 61356, 61222?
61050
What is the next term in 1947, 2014, 2127, 2280, 2467, 2682?
2919
What comes next: -3573, -4614, -5655, -6696?
-7737
What comes next: 2837, 2844, 2851?
2858
What is next in -20529, -41066, -61597, -82122?
-102641
What is the next term in -33, -304, -1043, -2484, -4861, -8408, -13359?
-19948
What is next in -11479, -45870, -103189, -183436, -286611, -412714, -561745?
-733704
What comes next: 32276, 64555, 96838, 129125, 161416?
193711
What is the next term in -2458, -4936, -7414?
-9892
What comes next: 3, -2, 5, 30, 79, 158, 273, 430?
635
What is the next term in 1464, 1423, 1382, 1341?
1300
What is next in -156, -1357, -4622, -10983, -21472, -37121, -58962, -88027?
-125348
What is next in -13613, -13609, -13601, -13589, -13573?
-13553
What is next in 282, 1365, 3252, 5943, 9438, 13737?
18840
What is the next term in 385, 681, 977, 1273, 1569?
1865
What is the next term in -728, -6237, -21274, -50603, -98988?
-171193
What comes next: 5762, 5766, 5776, 5792?
5814
What comes next: -34, -184, -450, -832, -1330, -1944?
-2674
What is the next term in 558, 1119, 1688, 2253, 2802, 3323?
3804
What is the next term in 489200, 489198, 489194, 489188, 489180, 489170?
489158
What is the next term in 44, 99, 222, 413, 672, 999, 1394?
1857
What is next in 90, 217, 396, 633, 934, 1305?
1752
What is next in 3986, 7990, 11998, 16010?
20026
What comes next: 1, -100, -207, -320, -439, -564, -695?
-832
What comes next: -10524, -10523, -10522, -10521?
-10520
What is the next term in -1801, -3644, -5559, -7552, -9629?
-11796
What comes next: 213, 554, 1045, 1686, 2477?
3418
What is the next term in 693, 1389, 2085?
2781
What is the next term in 64886, 64891, 64900, 64913, 64930?
64951
What comes next: -64, -39, 108, 437, 1008, 1881, 3116?
4773
What is next in 915, 3378, 7447, 13128, 20427, 29350, 39903?
52092
What comes next: 45, 24, 87, 312, 777, 1560?
2739
What is next in 3237, 3308, 3379?
3450
What is the next term in -35149, -35174, -35199, -35224, -35249?
-35274
What is next in 27189, 27191, 27195, 27201?
27209
What is next in 16253, 32513, 48773, 65033, 81293, 97553?
113813
What is next in -38350, -39095, -40328, -42043, -44234, -46895, -50020, -53603?
-57638
What comes next: -149, -296, -431, -554?
-665
What is next in 18797, 37511, 56221, 74927, 93629?
112327
What is next in 660, 1301, 1934, 2559, 3176, 3785, 4386?
4979
What comes next: -3987937, -3987939, -3987943, -3987949, -3987957?
-3987967
What is next in 113761, 113759, 113753, 113743, 113729, 113711, 113689?
113663
What comes next: -494, -495, -508, -539, -594?
-679
What is next in -676, -678, -678, -676, -672?
-666
What comes next: 1167, 1216, 1265?
1314
What is the next term in -643837, -1287677, -1931517, -2575357?
-3219197
What is next in 79, 598, 1897, 4330, 8251, 14014?
21973
What comes next: -30951, -30953, -30955, -30957, -30959, -30961?
-30963
What comes next: 4966, 4992, 5018, 5044?
5070
What is the next term in 21, 90, 193, 330, 501?
706
What is next in 13626, 27253, 40880, 54507?
68134
What is the next term in 183, 1953, 6781, 16197, 31731, 54913, 87273, 130341?
185647
What comes next: 344059, 344072, 344093, 344122, 344159?
344204
What is next in -1327, -1338, -1349, -1360, -1371?
-1382
What is next in 1950, 3981, 6098, 8301, 10590?
12965
What is the next term in 374864, 749729, 1124594, 1499459, 1874324?
2249189
What is next in 68608, 137217, 205826?
274435
What comes next: 1433, 5730, 12889, 22910, 35793, 51538?
70145
What comes next: -991, -3813, -8455, -14911, -23175, -33241, -45103?
-58755
What comes next: -13306, -26619, -39936, -53257?
-66582
What is next in -13847, -13861, -13885, -13925, -13987, -14077, -14201, -14365?
-14575
What comes next: -192, -213, -216, -201, -168, -117, -48?
39
What is next in 49659, 49664, 49673, 49686, 49703, 49724, 49749?
49778
What comes next: -107, -307, -509, -713?
-919
What comes next: -126353, -252723, -379095, -505469, -631845?
-758223
What is next in 2704960, 5409918, 8114876, 10819834, 13524792, 16229750?
18934708
What is next in 2374, 2512, 2650, 2788?
2926
What comes next: 127, 106, 33, -122, -389, -798?
-1379
What is next in -13762, -13757, -13752?
-13747
What comes next: -44300, -88592, -132872, -177134, -221372, -265580, -309752?
-353882
What is the next term in -68, -428, -1022, -1850, -2912, -4208?
-5738
What is the next term in -211254, -422509, -633766, -845025?
-1056286
What is next in 2368, 2364, 2350, 2320, 2268, 2188, 2074?
1920
What is next in 22, 31, 36, 37, 34, 27, 16?
1
What is next in 69643, 139293, 208945, 278599, 348255, 417913, 487573?
557235
What is next in -41, -47, -3, 115, 331, 669, 1153?
1807
What is next in -369, -3430, -11735, -27906, -54565, -94334?
-149835
What is the next term in -29, -144, -461, -1088, -2133?
-3704
What is the next term in 73344, 73346, 73350, 73356, 73364, 73374?
73386
What is the next term in 47, 85, 147, 233, 343, 477?
635
What is next in 340, 1396, 3154, 5614, 8776, 12640, 17206?
22474
What comes next: -158, 1113, 3798, 7891, 13386, 20277?
28558
What is the next term in -681, -1350, -2027, -2712?
-3405
What comes next: -88, -101, -130, -181, -260, -373, -526, -725?
-976
What comes next: 2398, 3706, 5014?
6322
What is next in 30861, 61730, 92603, 123480?
154361
What is the next term in 2244, 4521, 6830, 9171, 11544, 13949?
16386
What is next in -22567, -22558, -22549, -22540?
-22531
What is the next term in -3377, -6764, -10151?
-13538
What comes next: 13696, 27521, 41346, 55171, 68996?
82821
What comes next: 2921, 2924, 2927, 2930?
2933
What is next in 36, -47, -236, -513, -860, -1259, -1692, -2141?
-2588
What is next in -9629, -9633, -9639, -9647, -9657, -9669?
-9683
What is next in 5848, 11736, 17606, 23452, 29268, 35048, 40786, 46476?
52112
What is the next term in 153, 494, 835, 1176?
1517
What is next in 391, 426, 465, 508?
555
What comes next: -7496, -15014, -22528, -30038, -37544, -45046, -52544?
-60038
What is next in -316, -690, -1068, -1450, -1836, -2226?
-2620
What is the next term in 215, 461, 743, 1067, 1439, 1865, 2351?
2903
What comes next: -166, 75, 718, 1763, 3210, 5059?
7310
What comes next: 5319, 5654, 5989, 6324?
6659
What is the next term in -80514, -80532, -80548, -80562, -80574, -80584?
-80592
What is next in 137, 539, 1211, 2153, 3365, 4847?
6599
What comes next: 266690, 1066772, 2400242, 4267100, 6667346?
9600980
What is next in 1848452, 1848459, 1848476, 1848509, 1848564, 1848647, 1848764, 1848921?
1849124
What is next in -1672, -1674, -1674, -1672, -1668, -1662?
-1654
What is next in 13433, 26862, 40303, 53762, 67245?
80758
What comes next: -40115, -160480, -361093, -641954, -1003063, -1444420?
-1966025
What is next in 752, 696, 652, 626, 624, 652?
716
What comes next: 56, -457, -1312, -2509, -4048, -5929?
-8152
What comes next: -56028, -112052, -168076, -224100, -280124, -336148?
-392172
What comes next: 130, 519, 1174, 2101, 3306, 4795, 6574?
8649
What is next in -7734, -7741, -7748, -7755?
-7762
What comes next: 18205, 72830, 163873, 291334, 455213?
655510
What is next in -98, -196, -294, -392, -490, -588?
-686
What is next in 12456, 24912, 37368?
49824
What is next in 2182843, 4365691, 6548553, 8731435, 10914343, 13097283?
15280261
What is next in 65760, 131516, 197272, 263028?
328784
What comes next: -690045, -690050, -690057, -690066, -690077, -690090?
-690105
What is the next term in 4414, 8878, 13342, 17806?
22270
What is the next term in -851173, -1702348, -2553523, -3404698?
-4255873
What is next in 3532, 14175, 31914, 56749, 88680, 127707?
173830
What comes next: 755, 807, 893, 1013, 1167, 1355?
1577
What is the next term in 2666, 10650, 23956, 42584, 66534, 95806, 130400?
170316
What is the next term in 3725, 3682, 3639, 3596, 3553, 3510?
3467
What is the next term in 116439, 232878, 349317, 465756?
582195
What is the next term in 62212, 62210, 62208, 62206, 62204, 62202?
62200
What comes next: -6289, -6252, -6147, -5938, -5589, -5064, -4327?
-3342
What is the next term in -53, -56, -33, 16, 91, 192, 319?
472
What is next in -183661, -183662, -183663, -183664, -183665?
-183666
What is next in -3897, -15632, -35207, -62622, -97877, | {
"pile_set_name": "DM Mathematics"
} |
/6 + 91/3. Suppose 14*b + k = -26. Let n(h) = h**3 + 5*h**2 + 2*h - 3. What is n(b)?
5
Let c(z) = -4*z - 20 + 21*z - 6719*z**2 + 6718*z**2. What is c(14)?
22
Let g(r) = r**2 - 30*r + 208. Suppose -4*v - 5*a + 2*a = -86, 50 = 2*v + 5*a. Let i be g(v). Let j(l) = l**3 - 6*l**2 - 17*l + 12. Give j(i).
4
Suppose u - 23*m + 14 = -18*m, -u + 36 = 5*m. Let y(j) = -j**3 + j**3 + 18*j**2 - u*j**2 - 2 + 2*j**3 - j**3 + 6*j. Determine y(-5).
18
Suppose -20 = -9*q + 106. Let p(y) = 3*y - 26*y + 14 + q*y + 8*y. Calculate p(7).
7
Let p(i) = 88*i**2 - 81*i - 298. Let d(a) = 23*a**2 - 20*a - 75. Let u(o) = -23*d(o) + 6*p(o). Give u(-23).
6
Suppose -5*q + 3*c = 2*c - 8, -2*q - 6 = -5*c. Let u(j) = 23*j**2 - 7*j**2 - 9*j**2 + 4*j + q - 8*j**2. Calculate u(-4).
-30
Let l(g) = 4*g + 10. Let c(f) = -f - 3. Let z(n) = 10*c(n) + 2*l(n). Suppose 2*s - 4*b + 26 = 0, 5*s + 3*b + 17 = 4. What is z(s)?
0
Let i = -5 + 7. Let h(b) = -b + 251 + 260 + 5*b**2 + b**2 - 509. Determine h(i).
24
Let s(q) = -14*q**2 + q - 10. Let h(f) = 5*f**2 + 3. Let y(u) = -17*h(u) - 6*s(u). Let l = 184 + -192. Determine y(l).
-7
Let h(w) be the first derivative of -17*w**2/2 - w - 3229. Determine h(-8).
135
Let b(r) be the third derivative of r**6/40 + r**4/6 + 5*r**3/3 + 7*r**2 - 91. Give b(-2).
-22
Suppose -21*b + 109 = 25. Suppose 0 = -n - b + 14. Let o(p) = p**2 - 10*p - 12. Calculate o(n).
-12
Let d(p) = -p**3 + 18*p**2 - 15*p - 36. Let h(a) = -a**2 + 130*a + 8561. Let g be h(-48). Calculate d(g).
-2
Let r(h) = h**2 - 27*h + 27. Let a be r(26). Let k be (4 + -10)*(a + 24/(-18)). Let d(i) = i**3 - 2*i**2 + i - 1. What is d(k)?
1
Suppose -85 = -5*p - 3*c + 5*c, 0 = -3*c. Let a(t) = -5*t**2 + p*t**3 + 14*t**3 - 47*t**3 + 15*t**3 - 2 - 3*t. Let k = -2 - 3. What is a(k)?
13
Let x(c) be the second derivative of 3*c**3 - 2*c. Suppose -17*p - 109 = 2594. Let d = p + 158. What is x(d)?
-18
Let m(w) be the second derivative of -11*w**3/6 + 53*w**2/2 + 56*w - 14. What is m(5)?
-2
Let c(r) be the third derivative of r**4/24 + r**3 - 28*r**2 + 83*r. Let u(s) = s - 7. Let j be u(9). Suppose -15 = 3*y + j*y. Calculate c(y).
3
Let z = -214 + 82. Let k = 136 + z. Let x(a) = a**2 - 6*a + 1. Determine x(k).
-7
Let i(g) = -g - 1. Let b(k) = -2*k + 0*k + 75 - 78. Let r(u) = -b(u) + 4*i(u). Calculate r(8).
-17
Let t(b) = 132*b - 241. Let a(c) = 41*c - 80. Let n(m) = -19*a(m) + 6*t(m). Determine n(-6).
-4
Let f(t) = -5 - 18*t + 10*t + 9*t. Let n be 5 + 6 + -14 + 9/3. Determine f(n).
-5
Let g be (-312)/2*5/(-15). Let d = g - 50. Let v(f) = -2*f - 3*f**2 + 2*f - 1 + 5*f**d - 2*f. Give v(-1).
3
Let z(u) = u**3 + 4*u**2 + u - 4. Let l be z(-2). Let f(v) = -22 + 45 + 4*v - 22 - l*v. Determine f(-4).
-7
Let f(l) = -l**3 + 5*l**2 - l - 5. Let w(s) = 7*s**2 - 12*s + 6. Let b(a) = 15*a**2 - 24*a + 17. Let n(x) = -2*b(x) + 5*w(x). Let j be n(3). Determine f(j).
-10
Let c(a) = -5*a**2 + 3 - 8 - a**2 - a**3 - a**2 - 6*a. Let n = -4977 - -4972. Give c(n).
-25
Let h(g) = -3*g**2 - 5*g + 7. Let o(v) = -5*v**2 - 7*v + 9. Let k(i) = 4*h(i) - 3*o(i). What is k(0)?
1
Suppose 2*c + 4 = -2*w, 2*c + 3*c - w - 20 = 0. Suppose c*b + 25 = 5*u, 0*u + u + 13 = -3*b. Let n(x) = 5*x**2 - 3 + 5*x - 1 - 3*x**u - x**2. Determine n(-6).
2
Let z(g) = -g**2 - 5*g + 17. Let j be z(-6). Suppose 4*w - j = -7. Let o(n) = 6*n**2 + n - 1. Give o(w).
6
Let a(z) be the second derivative of -z**5/10 + z**4/6 + z**3/3 - 3*z**2/2 - 18*z + 6. Suppose 3*k = -k + 8. Give a(k).
-7
Let b(v) = -13*v + 5. Suppose -4730*d = -4734*d + 12. Give b(d).
-34
Let g(z) = z**3 - 8*z**2 + 9*z + 1. Let y = -7 - -10. Let i(m) = m**2 - 3*m - 31. Let w be i(8). Suppose y*q - w = -3*s, 2*s = 4*q - 2*s - 44. Determine g(q).
15
Let r(f) = -2*f**2 + 41*f - 9. Let a(d) = -5*d**2 + 122*d - 27. Let u(i) = 3*a(i) - 8*r(i). Let y be u(-38). Let p(l) = -l**3 - 9*l**2 + l + 10. Give p(y).
1
Let g be (1/(-3))/((-2 - 3)/45). Let b be -7*(2 - g) + 36/(-9). Let x(s) = -s + 3. What is x(b)?
0
Suppose 305*b = 364*b - 295. Let d(f) = 2*f**3 - 3*f**2 - 36*f - 11. What is d(b)?
-16
Suppose -91 = -327*i + 325*i + l, -2*i + 85 = -3*l. Let t(j) = j**3 - 49*j**2 + 102*j - 376. What is t(i)?
0
Let s = -21 + 161. Let l(u) = -2 + s*u - 135*u - 1. Determine l(4).
17
Let a be (-1*6)/((-11)/(-22)*-2). Let p(b) = 8*b - 49. What is p(a)?
-1
Let z(r) be the third derivative of -1/12*r**4 + 0*r - 1/30*r**5 + 1 + 72*r**2 + 0*r**3. Determine z(-2).
-4
Let f be -24 - (9 - 20 - 4). Let t(u) = 38*u + 339. What is t(f)?
-3
Let a be -6*(-7 + (-78)/(-9)). Let w be a/(-6) + (-6 - 74/(-6)). Let i(u) = u**2 - 4*u. Calculate i(w).
32
Let w(k) = -k**2 - 3*k - 3. Suppose 13*z - 16 = 10. Suppose -t - 68 = 5*u, 4*t + 341 = -z*u - 21. Let j = 89 + t. What is w(j)?
-7
Let a(w) = -w**3 - 8*w**2 - 6*w - 7. Let x(f) = -f**3 - 13*f**2 - 11*f - 2. Let v be x(-12). Let s = v - -26. Suppose 18*j + 42 = s*j. Give a(j).
-14
Let k be 0 - ((-1)/(-5) - (-348)/(-15)). Let n(g) = -7*g - 11*g + k*g. What is n(5)?
25
Let h(m) be the first derivative of 8*m**2 - 138*m - 6121. Calculate h(8).
-10
Let t(j) = -j**3 - 3*j**2 - 4. Let s be 11/((-88)/32) + 8 + -1. Let n be 90/(-24) + s/4. Determine t(n).
-4
Let g(h) = 2*h + 9. Let z(b) = -16*b**3 - b**2 + b + 2. Let f be z(-1). Suppose -12*u = -f*u - 156. Let n = u - -32. Give g(n).
-5
Let h(z) = 13*z - 7. Suppose s - 31 = 11*a - 16*a, 2*s = 5*a - 13. Let k(w) = 28*w - 14. Let v(c) = s*k(c) - 13*h(c). Give v(10).
-3
Let n(c) = c**3 + 5*c**2 + 3. Let t be n(-5). Let m(b) = 68*b**2 + 6*b - 13. Let k(y) = 49*y**2 + 4*y - 9. Let z(v) = -7*k(v) + 5*m(v). What is z(t)?
-23
Suppose -7*y - 10 = -5*y, 0 = -3*l + 2*y - 11. Let c(k) = -11*k**2 + 21*k - 1. Let h(r) = 13*r**2 - 22*r + 2. Let i(p) = l*c(p) - 6*h(p). Calculate i(-16).
-21
Let n(j) be the second derivative of j**4/6 + j**3/2 + j**2/2 - j. Let m = -616 + 514. Let l be 2*3*m/306. What is n(l)?
3
Let d(m) = -m**2 + 16*m - 5. Let u be d(14). Suppose 8*f = -u*f + 341. Let v(l) = -l**2 + 10*l + 12. Give v(f).
1
Let z(w) = 2*w**2 - 5. Let d(j) = 11*j**2 + 4*j - 9. Let s(n) = d(n) - 5*z(n). What is s(-5)?
21
Let r(k) be the second derivative of -3*k**5/10 - k**3/6 - k**2/2 + 3*k. Let d(s) = 2*s**3 - 4*s**2 - 35*s + 24. Let o be d(5). Calculate r(o).
6
Let o(y) = 2 - 2543*y**2 - y**3 - 6*y - 2537*y**2 + 5088*y**2. Calculate o(7).
9
Let f = 433 + -430. Let i(v) = 5*v**3 + 14*v**3 + 2 + 11*v**3 - 32*v**f + 3*v + 2*v**2. What is i(3)?
-25
Let h(v) = -261 + 261 - 9*v**3 + 47*v + 0*v**2 - v**2 - 49*v. Determine h(-1).
10
Let r(y) = 7*y**2 + 101*y - 1. Let n(v) = 19*v**2 + 269*v - 3. Let a(z) = 3*n(z) - 8*r(z). Let j = 0 + -2. Let k be a(j). Let g(m) = m - 1. Determine g(k).
4
Let a(m) = 9*m + 7*m + 474*m**2 - 24 + 475*m**2 - 1422*m**2 + 471*m**2. What is a(6)?
0
Suppose 447*g - 442*g - 295 = 0. Suppose 32 = -q - 30. Let v = q + g. Let d(t) = -t**3 - 2*t**2 + 2*t + 3. Give d(v).
6
Let m(d) = 5*d**2 + 2*d - 21. Let g(a) = -3*a**2 - a + 9. Let c(v) = 9*g(v) + 4*m(v). Give c(3).
-69
Let l(p) be the second derivative of 31*p**6/720 + p**4/12 + 15*p**2/2 - 79*p. Let c(f) be the third derivative of l(f). What is c(-1)?
-31
Suppose 9*i + 3*b - 69 = 0, 26 = 4*i - 9*b + 11*b. Let k(p) = 25*p - 248. What is k(i)?
2
Let x(s) = -s - 19. Let u(r) = -r**2 - 18*r + 252. Let g be u(-27). Calculate x(g).
-28
Let w(o) = -23*o - 58. Let j(h) = -83*h - 178. Let l(f) = -4*j(f) + 14*w(f). Calculate l(7).
-30
Suppose 20*d - 4*d - 672 = 0. Let i(b) = -73*b - 5*b**2 + 38*b - b**3 + d*b. Calculate i(-6).
-6
Let g(p) = -32*p + 38*p**2 + 34*p - 73*p**2 + 30*p**2 - 1 - p**3. Suppose 3*x + 4*y - 4 = x, -4*y + 46 = -5*x. Give g(x).
23
Let o(s) = -7*s - 7*s**2 - s**3 - 14*s + 2 - 3 + 13*s. Let v = 355 - 251. Let l = v - 110. What is o(l)?
11
Let o(n) = 68 - 37 - 2*n**3 - 10*n**2 - 18 + 0*n**2. What is o(-5)?
13
Let b(w) be the first derivative of w**5/120 + w**4/3 - 2*w**3/3 + 2. Let u(q) be the third derivative of b(q). Let x = -1401 + 1395. Calculate u(x).
2
Suppose -z = -4, j = 3*j - z + 4. Suppose 4*i - h - 3 = j, -5*h - 1 = -6. Let d(f) = -4*f**3 + f**2 - f. Determine d(i).
-4
Let u be 5*1 - (46 + -68). Let g(d) = -73 - d + 27 + u + 24. Give g(-10).
15
Let t(u) = u**3 + 6*u**2 - 6*u - 12. Let f be t(-6). Let m = f - 21. Suppose 1 - 16 = m*v. Let s(c) = c + 2. What is s(v)?
-3
Let t(w) = | {
"pile_set_name": "DM Mathematics"
} |
s + 17, -3*t + 2*s - n = -0*s for t.
-5
Let c(d) = -3*d + 73. Let l(a) = 3*a - 36. Let g(f) = -4*c(f) - 7*l(f). Let m be g(-5). Solve 3*r + 5 = -5*n, -m*r + r + 3 = -3*n for n.
-1
Suppose -5*q + 472 = 477. Let c be 6/(-12) - (q - 3/2). Solve c*m - 12 = 2*y, 4*m - 9 = -3*y + 2*y for y.
-3
Let a = -2877 + 2880. Solve -a*p - f = -p, p - f - 6 = 0 for p.
2
Let c(f) = -f**3 - 2*f**2 + 2*f - 8. Let v be c(-3). Let n be -6*(v + 6) - -9. Solve -3*d + j + n*j - 4 = 0, d = 4*j - 12 for d.
4
Suppose 9*b - 990 = -2*b. Suppose 4*n - b = -6*n. Suppose 29 - n = 4*w. Solve -4*g - 3*y + 26 = 0, -5 = -0*g + g - w*y for g.
5
Let a = 3412 - 3389. Solve -17 = -4*o + y, -5*o + 3*y = -0*o - a for o.
4
Suppose 72 = 63*u - 54*u. Solve 3*h - 20 = 3*s - u*s, 0 = s - 4*h - 4 for s.
4
Suppose 8*g - 42 = -5*o, 772*o - 22 = 767*o - 3*g. Solve -2*u + i - 7 = 0, -18*i = o*u - 21*i + 1 for u.
-5
Let g be 16/3 - 6/(-9). Suppose 2*f - 10 = -2*k, -3*k = -g*k - f + 5. Suppose -4*y + 273 = 17*y. Solve k*u + 3*d = -5*u + 29, d + y = 4*u for u.
4
Let s be (-44)/(-8) + -3*20/24. Solve -u - s*i = -8, 0*u - 8 = 3*u + i for u.
-4
Suppose 4791 = 32*y + 1911. Let l be (20/50)/(3/y) + 3. Solve 29 = -4*f + 4*b - 11, -l = 2*f - b for f.
-5
Let m = -286 + 321. Suppose 0 = -6*t + m*t - 145. Solve -t*a - 2*p = -2, -6*a + a + 5*p = -30 for a.
2
Suppose 467*g - 712 + 185 = 1808. Solve -3*p - g*i + 29 = 0, 2*p + i - 8 = 2 for p.
3
Suppose -15*w + 16 = -89. Let f be (1 - w - -12) + -4. Solve -2*u - s - 7 = 0, -3*u - s + f - 11 = 0 for u.
-2
Suppose 0 - 8 = -2*q. Suppose 0 = -5*t + 3*t + 8, -40 = -2*f - 6*t. Solve q*h - b - 3*b = 20, 0 = 2*b + f for h.
1
Suppose 0 = -15*t + 294 + 141. Suppose -3*x = -3*s - 21, 7 = -t*x + 33*x + 3*s. Suppose 0*f - 3*f = -15. Solve -3*y - f*m - 43 = -9, -5*y + 5 = -x*m for y.
-3
Let v = 47 - 8. Let i = -40 + v. Let c be i + 8 + (-2)/(-4)*-6. Solve -12 = o - 4*l, -c*l + 2 = 2*o + l for o.
-4
Suppose -3*f = -2*j + 27 - 26, -2*f + 5*j = 19. Solve 6*w + f*k = 3*w + 15, 0 = 3*w + k - 13 for w.
4
Let j be 2/3 - (-612)/54. Let k be (-770)/(-8) + (-3)/j. Let y = k + -95. Solve 3 = -o, -i = 4*o - y + 10 for i.
3
Suppose -29*r = 4*l - 25*r - 132, -r - 157 = -4*l. Solve 0 = 4*w - 5*b + 1, -3*w - 42*b - 24 = -l*b for w.
-4
Suppose -3*m - 2212 = -2*w, -2*m + 3*w - 1209 = 259. Let t = -705 - m. Solve 2*g + 0*g = -5*b - t, 2*b + g = -15 for b.
-5
Let l(u) = u**2 + 9*u + 16. Let v be l(-10). Suppose 0 = 19*z - 17*z - v. Suppose z*a - 52 = -0. Solve w + 3*m = 4, -m = 2*w - a*m - 8 for w.
4
Suppose 939 = 167*q - 397. Solve -12 = -3*v - 4*k, -q*v - k + 8 = -6*v for v.
4
Let c(r) = -2*r**2 - 183*r - 2699. Let f be c(-73). Solve -4*m - 5*l = 27, 9*m - f*l + l = -24 for m.
-3
Let z = 189 + -459. Let q = -263 - z. Solve -2*g - 4 = 0, 2*f - q + 3 = 3*g for f.
-1
Suppose -p = -5*v + 17, 4*p - 17 = 9*v - 6*v. Let y be 7 + -5 + -3 + 5. Solve 2*t = -2*n + 14, p = y*n + t - 5 for n.
2
Let u = -14 - 38. Let d = -49 - u. Suppose 7*o - 6*o - d = 0. Solve -o*b - r + 6 = -0, 0 = -4*b - 5*r + 8 for b.
2
Suppose -2*r - 8 = 2*r. Let u be 0/((-6 + 4)/r). Let h be ((-156)/429)/((-2)/11). Solve z + h*o - 1 = -11, u = z - 3*o - 10 for z.
-2
Suppose -2*s + 12 = 10. Let u be -2 - (s + (-6 - 3)). Let l be ((-1)/2)/((-1)/u). Solve 2*y + y - 3*a + 15 = 0, -l*a - 9 = 3*y for y.
-4
Suppose -a - 38 = -42. Solve -a = -2*v, 5*v = 5*g + 26 + 9 for g.
-5
Let q be (1 + 61)*(-18)/(-36). Suppose 0 = 5*b + l - 3*l - q, b - 4*l - 17 = 0. Solve -4*z + 23 = b*y, z = 5*z + 2*y - 14 for z.
2
Let s(b) = -3*b + 89. Let a(t) = t - 44. Let k(d) = -5*a(d) - 3*s(d). Let v be k(13). Solve -4*m - u = -15, -5*m - 14 + 64 = -v*u for m.
5
Let z = -4213 + 4228. Solve -4*l - 11 = 3*h + 6, 3*h = -3*l - z for l.
-2
Let z(f) = -40*f + 61*f + f**2 + 32 - 32*f. Let b be z(6). Suppose -5*o + 2*k = -12, -o - 5*k = 4*o - 5. Solve -5 = 5*p - n, -3*n + 5 = o*p - b*n for p.
0
Suppose 4*k = 6*k + 3*y + 11, 3*k + 3*y = -12. Let z(v) = 11*v + 4 + 5 - 16*v - 4. Let p be z(k). Solve 4*s = 2*c - p, c + 0*s = -3*s - 15 for c.
-3
Suppose -k + 335 = 332. Suppose -2*j - 2*i = k*i - 24, 6 = -5*j + 4*i. Solve m = 4*n + j - 19, -n = 5*m + 22 for m.
-5
Let w(c) = c**3 + 44*c**2 + 154*c - 27. Let u be w(-40). Suppose 21*m - u = 396. Let n = 44 - 23. Solve 0 = 3*a - a - 5*p - m, n = -2*a - 5*p for a.
2
Let p(t) = -t**3 - 6*t**2 - 12*t - 29. Let k be ((-4)/6)/((-310)/(-75) - 4). Let w be p(k). Solve -c + 0*r - 8 = r, -3*c + 3*r = -w for c.
-3
Let h be 285/(-10)*(-4)/22 - (-10)/(-55). Let z(s) = s**2 - s + 2. Let p be z(0). Solve 0 = -h*x + f - 4, p*f - 6 = 5*x + 3*f for x.
-1
Suppose 4*c + 4*f = -8, -5*f - 10 = 4*c - 6*c. Let d be (c + 1)/((-20)/(-240)). Solve 0 = 4*s + 5*x, 0 = 2*x + x - d for s.
-5
Let i = -3 - 1. Let c(z) = 3*z - 6. Let f(a) = -6*a + 7. Let l(y) = 5*c(y) + 3*f(y). Let u be l(i). Solve 4*v + 0*v + 12 = u*b, -4*v + 2*b = 8 for v.
0
Let k = -1531 - -1562. Solve 32*n - k*n - 3*x - 8 = 0, 7 = -4*n - x for n.
-1
Let g = 8028 + -8018. Solve -4*z = -5*v + 23 - g, 2*v = 5*z - 5 for v.
5
Suppose 44 - 254 = -70*n. Solve 0 = -14*x + 19*x + 4*o - 35, 0 = -n*o + 15 for x.
3
Let p(v) = 6*v**2 - 39*v + 22. Let s be p(6). Solve 2*j = -4*l + 2, 8*l = s*l + 8 for j.
-3
Suppose 3*v = 5*g - 109, -2 = -3*v - 11. Let w(r) = 17*r + 2*r**2 - 5 + 4 - 25. Let k be w(-10). Solve -2*o = -0*o + 5*u + 25, 5*o + g = -k*u for o.
0
Let w be (-5)/(-3) + 2/6. Let m be (-76)/38 - (-9 - -1). Suppose -3*l = -3*i, -m = 3*l + i - 26. Solve 0 = l*q - 25, w*u - 2*q + 9 = u for u.
1
Let m(l) = -364*l + 1094. Let p be m(3). Solve 0 = y - p*b + 2, y + 3*b + 8 = -b for y.
-4
Let o(x) = x**2 - 12*x - 534. Let u be o(-18). Solve u*b - 8*b = -p + 7, 0 = -4*b - 12 for p.
1
Let k be 21/14*(-352)/(-33). Let f(l) = -l**3 - 2*l**2 + 11. Let o be f(0). Solve -x + o = -4*a, x = -5*a - 0*x - k for a.
-3
Suppose -491*h = -558*h + 134. Solve 0 = -3*x - 2*x - 3*r - 37, 0 = -h*x + 5*r + 10 for x.
-5
Suppose s = -4*a - 26, -64*a - 46 = 3*s - 60*a. Let i(h) = h**2 - 9*h - 175. Let q be i(s). Solve 4*o - 2*u + 6 = 0, o + 3*u = -2*u + q for o.
0
Suppose -w - 6*k + 29 = -k, 0 = 4*w - 4*k + 4. Let q = 52 + -52. Solve u = w*u + d + 12, -2*u + d - 3 = q for u.
-3
Let h(y) = -2*y**2 - 15*y + 342. Let k be h(-17). Solve -u = -p + 2, -k*u - 7 = -2*p - 14*u for p.
1
Suppose 23*c + 14389 = 15217. Solve h + 2*k = 9, -2*h + 11 = -c*k + 39*k for h.
-5
Let p be (-3 - 0)*(-5586)/171. Let q = 100 - 194. Let g = p + q. Solve -5*d = -3*z + 3, 0 = -3*z + g*d - d - 3 for z.
-4
Let g(r) be the third derivative of r**6/120 - r**5/10 + r**4/6 + 7*r**3/3 - 21*r**2. Let x be g(5). Solve -o = 4*v + x, 0 = -o - 2*v - 3*v - 11 for o.
-1
Let f = -124 - -129. Suppose -f*r + d = 3*d, -r = -5*d. Solve 0 = 2*n - 6*n - 5*u - 13, r = 5*n - 5*u + 5 for n.
-2
Suppose -3*l = 4*l - 35. Suppose -2*j + c + 3*c = -4, -l*c + 17 = 3*j. Solve 12 = j*y + 5*q - 2*q, 0 = 2*q for y.
3
Let j(c) = c**3 + 12*c**2 + 14*c + 6. Let s be j(-10). Suppose 6*m + s - 84 = 0. Solve 4*n - m = -5*p, 2*n + 2*p = -n - 3 for n.
-3
Suppose -3*x + 702 + 387 = 0. Let w = -358 + x. Solve -3*j + 15 = -z, 2*z + 0*j - w*j + 26 = 0 for z.
-3
Let d = 524 + -504. Suppose -3*j = 2*u - 35, -j + 3*j = -3*u + d. Solve 2*o - 6*o - w = 0, o - j = 3*w for o.
1
Suppose 304 = -65*b + 564. Solve -4*q = -b*i + 12, 5*q - 4*i - 13 = -23 for q.
2
Let i = -19 + 19. Suppose 3 = 2*z - 3. Let d = -254 + 261. Solve i = -z*a + 5*q - 7, -4*q = -2*a + 1 - d for a.
1
Suppose -4 = 73*k - 4. Solve -4*c + k*g = -3*g - 11, 0 = 5*c + 5*g + 30 for c.
-1
Let d be (3675/50)/((-1)/(-2)). Let q = -141 + d. Solve -3*h + 4*h + q = 2*c, 21 = c + 4*h for c.
5
Let l = 245 + -227. Suppose 3*u = -4*n + 7, 3*u - u = 4*n + l. Solve -5*f + 19 = j, -u*j - 17 = -0*f - 3*f for f.
4
Let j(g) = -g**2 - 42*g - 374. Let c be j(-28). Solve -2*s = 5*o + 6, -4*s = -197*o + 192*o - c for s.
2
Let r(o) = -6*o + 127. Let l be r(20). Solve 2 = 3*h + t, l*h + t - 1 = 5*h for h.
1
Let j = 98 - -277. Let m = j - 373. Solve 0 = -m*r - 2*r - 4*f - 28, 4*f = r - 13 for r.
-3
Let d be 3 + 76/(-24) - 630/108. Let j be (-30)/(-9 - 1)*(-10)/d. Solve j*q - 21 = z, -2*q + 3*z = 2*q - 19 for q.
4
Suppose 6 = k + m, 0 = -2*k - 5*m + 28 - 7. Suppose -11 = -k*h - p, -19 = -5*h + 2*p - 4*p. Solve 24 = -4*j + 4, -3*n - h*j = 3 for n.
4
Let w(p) = p**3 - 20* | {
"pile_set_name": "DM Mathematics"
} |
3*b - 33 = -r. What is the units digit of b?
1
Let q(k) = -k**3 - 4*k**2 - 2*k - 2. What is the units digit of q(-4)?
6
Let z(w) = w**2 + 4*w - 9. Let v be z(-6). Suppose -2*m = m - 9. Suppose 11 = -o + m*y, 7*o + y = v*o + 21. What is the units digit of o?
4
Let h(m) = -m**2 - 14*m - 8. Let f be h(-6). Let r = f - 27. What is the tens digit of r?
1
Suppose 2*h + 10 = -4*z, 3*z + 11 = 3*h - 1. Suppose 0*w = 2*y + w - 10, -5 = -3*y + w. Suppose -11 = -y*s + h. What is the units digit of s?
4
Let u(b) = 15*b**2 - 10*b + 12. What is the units digit of u(-5)?
7
Let d = -27 + 42. Suppose y = d + 3. Suppose -5*s = -2 - y. What is the units digit of s?
4
Let w(p) = 5*p**2 - 1. Let z be w(-1). What is the units digit of 138/9 - z/(-6)?
6
What is the tens digit of 6/2 - 41/(-1)?
4
Suppose 58 = -4*m - 10. Let l = m - -29. What is the tens digit of l?
1
Let n(s) = -31*s - 5. Let t(d) = 16*d + 3. Let x(b) = -3*n(b) - 5*t(b). What is the units digit of x(2)?
6
Suppose 3*u - 13 = -5*j - 6, 4*u + 6 = j. Let a be 6/(-4)*u*8. Suppose -3*y = 12, -a = -4*c - y - 2*y. What is the units digit of c?
6
Let w = -271 + 496. What is the hundreds digit of w?
2
Let a(s) = s + 5. Let r be a(7). Let i = 18 - r. What is the units digit of i?
6
Suppose s - 17 = p - 4*s, -4*p - 3*s = -1. Let k(j) = 2*j**2 + 2*j. Let m be k(p). Suppose 4*n = m + 16. What is the units digit of n?
5
Let u(m) = -m**3 + 8*m**2 - 6*m - 2. Let w be u(5). Let g = 65 - w. Suppose 3*o - 38 = -5*r, -3*r + g = -o - 12. What is the units digit of r?
0
What is the units digit of (3/(-3))/((-3)/6)?
2
Let g = 0 - 0. Let l be -3*(-20)/3 - g. Suppose -4*v + 32 = 3*n - 3, -5*n + l = -v. What is the units digit of n?
5
Suppose -c - 4 - 38 = -5*x, 2*x - 26 = 5*c. Suppose -4*f = -9*f. Suppose -4*t = -x - f. What is the units digit of t?
2
Suppose 3 + 82 = f. What is the units digit of f?
5
Let p(q) = -42*q + 35. Let n(c) = -c + 1. Let s(d) = -35*n(d) + p(d). What is the units digit of s(-1)?
7
Let k(q) = -9*q - 3 - 3*q + 7*q. What is the tens digit of k(-3)?
1
Let b = -87 + 263. What is the units digit of b?
6
Let t be 10*(3 - 2/(-10)). Suppose c - t = 3*c. Let d = c + 22. What is the units digit of d?
6
Let i = -99 - -225. What is the tens digit of i?
2
Suppose 4*d - 3*u - 316 = 0, 3*d + 0*u - 237 = -2*u. What is the units digit of (-6)/21 - d/(-7)?
1
What is the units digit of (32/40)/(6/465)?
2
Suppose -y + 295 = 3*k - 32, 4*k + 2*y = 436. What is the hundreds digit of k?
1
Let j be -1 - (-2 - 0)/(-1). Let a be 14/j*2*-3. Suppose -y - a = -3*y. What is the tens digit of y?
1
Let l(j) = -j**2 + 10*j + 3. Let v(m) = -m**2 - 6*m. Let c be v(-6). Suppose c = -i - 4*i + 50. What is the units digit of l(i)?
3
Let m be 1 - -3 - (-165)/(-3). Let z = -2 - m. What is the tens digit of z?
4
Let h be (4 - 3)*1 + 17. Suppose 2*z - 12 = -4*a, -3*z - h = -2*a - a. What is the tens digit of -38*1/z - 3?
1
Let r(k) = 15*k**2 - 2*k + 5. What is the tens digit of r(3)?
3
Suppose -x = -4*r + 242, -x + 6*x = -5*r + 290. Suppose 0 = -0*l + 4*l - r. What is the units digit of l?
5
Let d(p) = -p**3 - p**2 - 2*p - 8. Let j be d(-6). Suppose 14*h = 18*h - j. What is the units digit of h?
6
What is the units digit of 3*(-3 - (78/(-1))/3)?
9
Let s = 25 - 13. What is the units digit of s?
2
Suppose u - 53 = 17. What is the tens digit of u?
7
Let t(v) = v**2 - 2*v + 9. What is the units digit of t(0)?
9
Let a be (-4)/6 - (-70)/15. Suppose 32 = -a*s - 0*s. What is the units digit of (-18)/(-8) - (-2)/s?
2
Suppose 3*w = -w + 16. Let p(s) = -1 + 10*s + 7*s - w*s + 0. What is the tens digit of p(1)?
1
What is the units digit of -1 - (3 - 44) - -2?
2
Let f be (-3)/(-12) - (-94)/8. Let p(w) = w**3 - 3*w**2 - w + 3. Let o be p(3). Suppose z + o = f. What is the units digit of z?
2
Let g = 15 + -9. Let o = 8 - g. What is the units digit of o?
2
Let h(x) be the third derivative of x**4/24 - 2*x**3/3 + x**2. Let g be h(7). Suppose 0*v = g*v - 15. What is the units digit of v?
5
Suppose -u + 4 = u. Let n(j) = -j**2 + j - 1. Let c be n(u). Let x = 4 + c. What is the units digit of x?
1
Let i(j) = j**3 - 9*j**2 + 4. Let w be i(9). Let v(p) = -p**2 + 6*p. What is the units digit of v(w)?
8
Suppose 8*i + 22 = -4*d + 3*i, 2*i + 4 = 0. Suppose 5*n - 10*n = 55. Let l = d - n. What is the units digit of l?
8
Suppose -5*j + 39 = -71. What is the units digit of j?
2
Suppose 18 + 12 = 3*z. Suppose 58 = 4*s - z. What is the units digit of s?
7
Let j(s) = s**2 + 7 - s**3 + 0*s**2 - s + 4*s**2. Let b be j(5). Suppose 0 = z + b - 4. What is the units digit of z?
2
Suppose 4*w + 11 = -z, 3 = z + w - 1. What is the units digit of z?
9
Let r = 13 - -3. Let y = r - 10. What is the units digit of y?
6
Suppose 2*m - 3*x = 37, -4*x + 35 = m + 11. What is the units digit of m?
0
Suppose 48 = 3*u - 6*u. What is the units digit of u/(-20)*195/6?
6
Let v(m) = m**3 - m**2 - 3*m - 4. Let o(w) = w**3 - 3*w**2 - 2*w - 5. Let z(r) = r**3 - 3*r + 2. Let f be z(2). Let x be o(f). What is the units digit of v(x)?
5
Suppose -4*i - 244 - 148 = -2*g, 4*g - 5*i = 775. What is the tens digit of g?
9
Let w(s) be the first derivative of -4 + 6*s + 1/2*s**2 - 1/3*s**3 + 1/4*s**4. What is the units digit of w(0)?
6
What is the hundreds digit of (-57120)/(-175) - (-6)/10?
3
Suppose 2*q = 3*g - 9 + 59, -4*g - 2*q = 62. Let f be 5/2*g/(-20). Suppose -12 = -f*x + 2. What is the units digit of x?
7
Suppose 3*y + 2*k + 53 = 0, -5*k - 9 = -4*y + 5*y. Let b = -29 + -8. Let h = y - b. What is the units digit of h?
8
Let g = -4 - -4. Let a(u) = u**2 - u + 9. What is the units digit of a(g)?
9
Let k = 90 + -52. What is the units digit of k?
8
Suppose -303 = -6*j + 3*j. What is the tens digit of j?
0
Let w = -150 - -320. What is the units digit of w?
0
Let s = -3 + 70. What is the tens digit of s?
6
Suppose -6*i + 9*i - 177 = 0. Suppose -5*o - 4 = -i. What is the tens digit of o?
1
Let x(o) = o - 5. Let u be x(6). Let y = 8 - u. Let m = y - 1. What is the units digit of m?
6
Let w be 75/10*(-8)/(-10). Let p = -1 + w. Let q = p + -3. What is the units digit of q?
2
Let t(j) be the second derivative of -j**5/20 + j**4/3 - j**3/2 + 3*j**2/2 - j. Let n be t(3). Suppose -n*g + 5 = -4. What is the units digit of g?
3
Let j = 106 - 65. Suppose j = -5*m - 9. Let s = m + 17. What is the units digit of s?
7
Let h = 124 + 36. Suppose 4*d + d = h. What is the tens digit of d?
3
Suppose -g - g - 4 = 0. Let l be -4 + 2 + (-4)/g. Suppose 5*v - 59 + 19 = l. What is the units digit of v?
8
Let w(z) = -4*z**2 + 4*z + 10. Let f(y) = y**2 + y - 1. Let p(i) = 3*f(i) + w(i). What is the units digit of p(5)?
7
What is the tens digit of 0 + (16/4 - -59)?
6
Suppose y - 4*y + 741 = q, -4*y - 2*q + 990 = 0. What is the units digit of y?
6
Let g be 1/(-2) - 4/(-8). What is the units digit of (-2)/(6/(-21) - g)?
7
Let v(r) = -r**3 + 6*r**2 + 7*r - 2. Let p be v(7). Let a(l) = 3*l + 2. Let t be a(p). What is the units digit of (-3)/t*(12 - 0)?
9
Let y(q) = -2*q + q + 3*q - 8*q**3 + 1. What is the units digit of y(-1)?
7
Let g = 22 - -70. What is the tens digit of g?
9
Let p(m) = -m + 29. Let k = -15 - -15. What is the units digit of p(k)?
9
Let g(x) = x**2 - 2*x - 12. Let s be g(9). Suppose s = 2*v - 5. What is the tens digit of v?
2
Suppose 117 = 3*d + r, 0*r - 25 = -d - 5*r. What is the units digit of d?
0
Suppose 2*n - 4*r - 64 = 0, 5*n - 145 = 5*r - 0*r. Suppose 4*h - n = -q - 2*q, 4*q + 17 = 5*h. What is the units digit of q?
2
Let r(b) = 2*b - 12. Suppose 0 = -2*c + 80 - 14. Suppose 0 = 3*g + 6 - c. What is the units digit of r(g)?
6
Let f = -6 + 4. Let q = 2 + f. Suppose 6*u = -3*a + 2*u + 60, u - 3 = q. What is the units digit of a?
6
Let n be (6/(-2))/((-3)/4). Let x(w) = 2*w**3 - 1. Let f be x(-1). Let k = n + f. What is the units digit of k?
1
Suppose 13 + 2 = 5*a. Let s be 3/(-2)*2/a. What is the units digit of ((-6)/(-24))/(s/(-4))?
1
Suppose -2*x - 16 = 2*k - 0*k, 5*k - 3*x + 64 = 0. Let c(t) = -t**2 - 10*t + 13. What is the units digit of c(k)?
2
Let x(s) = 5*s**3 - 2*s**2 - s - 8. What is the units digit of x(3)?
6
What is the units digit of 18/4 + 3/(-6)?
4
Let p(d) = -d - 3. Let h be p(-5). Suppose -3*f + 4*b + 33 = 0, h*b - b = 0. What is the units digit of f?
1
Suppose -2*k - 4*q = q + 122, 244 = -4*k + 4*q. L | {
"pile_set_name": "DM Mathematics"
} |
Solve n = -p, -g*c + 4*c = n for c.
1
Let x(s) = s - 15. Let u be x(-11). Let v = -13 - u. Solve 0 = -3*m + q - 0*q - 13, -v = 2*m - 5*q for m.
-4
Let l(f) = -f**3 + f. Let t be l(0). Solve 3*z + t*z - 1 = -5*o, -5*o - 5*z + 5 = 0 for o.
-1
Let o(r) = -r**2 + 4*r + 2. Let s = -4 - -8. Let d be o(s). Solve 5*q + d + 3 = 0, -5*z + 3*q - 7 = 0 for z.
-2
Let n(k) = -3*k**2 + k + 1. Let h be n(-1). Let d be (h/2)/(6/(-8)). Let m be ((-2)/(-5))/((-1)/(-5)). Solve -3*c = 0, -d*f + c = 4*c + m for f.
-1
Suppose -3*u = 3*s, -2*u + 5*u - 5*s = 24. Let m = 0 - -5. Suppose -11 = -2*q - m*h, -4*q - u = -4*h - 39. Solve -5*t = z - q, -5*z - 15 = -t - 3 for t.
2
Let v(d) = -d. Let n be v(-2). Let z = 22 + -13. Let a = z + -7. Solve k = -a, 3*k = n*l + l for l.
-2
Let g = -3 - -3. Suppose g = 3*f - 12, -3*w - f + 36 = 2*f. Solve b + 5*r + w = -7, 0 = -2*b - 2*r - 6 for b.
0
Let l be (-1)/(-5) + (-298)/(-10). Suppose -3*k = 2*k + l. Let d be 46/6 + 4/k. Solve y + d = 2*s, 5*s = 2*y - 0*y + 17 for s.
3
Suppose 5*x + 2*r - 50 = 0, -3*x + 3*r = 2*r - 30. Suppose x*v = 8*v. Solve 4*b = -d - v + 7, b = 4*d + 6 for b.
2
Let p(h) = h**3 - 2*h. Let s be p(2). Suppose -m - s = -5*d, -d - 7 = -5*m - 27. Solve -y + 2 + d = 3*i, 4 = 3*i - y for i.
1
Suppose m - 6 = -1. Solve -12 = 2*b - m*g + 16, -4*b = 4*g for b.
-4
Suppose 5*t = -4*a + 21, -3*a + 24 = -3*t - 12. Suppose -2*c + 3 + 5 = 2*l, -4*l = -3*c - 9. Solve 2*q + 0*j + 16 = 2*j, l*q + 2*j = -a for q.
-5
Suppose -27 + 2 = -5*g. Solve -g*n - 5 + 0 = x, 3*n + 2*x = -3 for n.
-1
Suppose 9*g = 2*g. Solve l + g*d = -3*d - 14, 8 = 3*l - d for l.
1
Let n be (14 + 2)/2 + -3. Suppose n*b + 1 = 6. Let r = b - -1. Solve -w = r*v - 21 + 7, 4*v = 5*w for v.
5
Suppose -2*p - 2 = 0, 4*p - 2 = -4*g + 2. Solve -g*l - 2*d = -0*l + 8, 4*l - d = -11 for l.
-3
Let g(y) = y + 12. Let j(c) = -c**2 + 2. Let l be j(3). Let h be g(l). Solve -3*f = -h*i - 25, -2*i - 2*f + 6 = -0*i for i.
-2
Let l be 1 + 2*6/4. Suppose -l*h - 8 = -20. Solve -h*n = 3*u + 9, 2*n - 4*n = 3*u + 5 for u.
1
Let v = -18 - -20. Solve 0 = -5*q - 3*x + 35, -5*q + 6*x = v*x for q.
4
Let q(o) = 5*o - 15. Let x be q(7). Let i = x + -12. Solve i = 4*k, -2*k - 2 = -3*j - 3*k for j.
0
Let h = 0 + 3. Let b = 4 - 6. Let a be (3 - 1) + (-1 - b). Solve -h*s = a*t + 18, 2*t - 2*s = 10 - 2 for t.
-1
Let z = 9 + -4. Solve -4*x + 3*c - 28 = 0, -2*x - 26 = -z*c + 2 for x.
-4
Suppose 0 = -10*o + 7*o + 30. Solve 6 + 19 = -5*b, 0 = 5*q - 3*b - o for q.
-1
Let n be ((-276)/(-4))/(6/4). Let o = n - 6. Suppose a - o = -4*a. Solve -4*s - 20 = -t, 4*s - t + a = 3*s for s.
-4
Suppose 4*o - 2*o - 4 = 0. Solve -2*r = -k - 0*r, 2*k + o*r = 0 for k.
0
Let g be 1/(-2) - (-35)/10. Solve -9 = g*p - j, -j + 8 + 5 = -4*p for p.
-4
Let u = 20 + -27. Let c = u - -7. Solve n + 3 = -c*x - 4*x, 5*n = 4*x + 9 for x.
-1
Let b(q) = -q + 6. Let v be b(0). Let t(o) = -2*o + 12. Let m be t(v). Solve m = -4*w - 4*z - 24, -w - z + 6 = -4*z for w.
-3
Let g(t) = -4 + 4 - t. Let c be g(-2). Suppose -c*p - 3 = 5*b - 4*b, -2*p - 18 = -2*b. Solve 0 = -3*s + 15, -b*u = 3*s + 2*s - 25 for u.
0
Suppose -q - 2*q + 6 = 5*m, 0 = -q + 2. Solve -y - y = 2*u, 5*y - u - 18 = m for y.
3
Let s = -28 - -48. Let h be s/11 + (-4)/(-22). Let q be 1*h - (3 - 1). Solve q = -4*g, -6 - 6 = 4*d - 2*g for d.
-3
Suppose -7*i + 104 - 90 = 0. Solve 0 = -3*s + 6*s + 3*o + 3, i*s - 3*o + 12 = 0 for s.
-3
Let y(o) = o - 16. Let z be y(18). Solve 4*l - g - 9 = 0, -z*l + g + 7 = -0*g for l.
1
Let t(a) = a**2 + 10. Let k = -2 - -2. Suppose k*u - 3*u = 0. Let l be t(u). Solve b - 7 = 3*g + l, -7 = b + 3*g for b.
5
Let x be 26 - (2 + 0 + -6). Solve d = 5*k + x, -2*k - d - 5 = -0*d for k.
-5
Suppose 19 = -8*t + 67. Solve -4*r + 13 = -3*c, -2*c + 4*r - t*r = -10 for c.
1
Suppose 0 = -3*b - 0*b + 6. Let z be 1*2 + (b - 2). Suppose i + z*i - 3 = -j, 0 = j + 4*i - 4. Solve -a + j*v = 2*v - 3, 3*v = -3 for a.
5
Suppose 16*d - 20*d = -72. Let g = 22 - d. Solve -5*l - g*p + 10 = 0, 4*l - 4*p = -0*l + 8 for l.
2
Suppose 11 = 2*w - 5. Solve -28 = 5*t - 3*s, -3*s + w*s = t + 10 for t.
-5
Suppose -v = 3*u - 6*v - 15, u + 9 = -3*v. Suppose -3*g - i = -30, -g + 2*i + 3 = -u*i. Solve c = 5*k + 15 - 1, -4*k + 3*c = g for k.
-3
Let s(w) = 52*w**3 - w**2 - w + 1. Let j be s(1). Suppose -5*i = -24 - j. Solve -4*h = o - i, 4*o - 8*h + 24 = -3*h for o.
-1
Let d(f) = f - 2. Let o be d(-7). Let n = o - -15. Let y be 27/n + (-1)/(-2). Solve y*l + 20 = -5*u, -u + 2 = -0*l - 2*l for l.
-2
Suppose 4*k = 7*k - 12. Suppose 25 = 5*n, -5*n = 2*m - k*m - 19. Solve -o - m*z = -8*z - 21, -2*o - 10 = 3*z for o.
1
Let z = -37 - -41. Solve 3*h - 3*l + 1 = -8, h - z*l = -15 for h.
1
Suppose 0*h = -4*h + 20. Solve -p - 4*l = -0*l - 13, -19 = h*p - l for p.
-3
Suppose 5*k + 2*n - 7*n - 255 = 0, -2*k + 5*n = -93. Let u be 4/6*k/12. Solve 5*b = -u*a + a + 35, -15 = -5*a + 2*b for a.
5
Let n(j) be the third derivative of 0 - 1/4*j**4 + 0*j - 1/60*j**5 + j**2 + 3/2*j**3. Let q be n(-7). Solve 4*t + 11 + 1 = 4*x, -8 = q*t - x for t.
-5
Suppose -2*l + 7*l = 20, 3*l - 6 = 2*f. Let s(y) = -y**2 + 8*y - 2. Let a be s(7). Solve -3*o + 9 = -3*h, -4*o - f = -2*h - a*o for h.
0
Let a = 0 + 5. Solve 2 = 4*n - a*p, n = 4*p - 5 - 0 for n.
3
Suppose -2*z + 1 = 9. Let p = 6 + z. Let n(m) = m + 12. Let d be n(-7). Solve p*g = -o - d, -2*o + 0*g - 8 = 3*g for o.
-1
Suppose -3*h + 5*l = -14, -4*h + l + 11 + 2 = 0. Suppose 7 = 4*v - 5. Solve -v*y = -4*u + 2*u + h, y = 3*u + 6 for u.
-3
Suppose 0 = 2*y - 6, 2*m - 2*y = -9 - 3. Let a = 8 + m. Suppose 0*z = a*z. Solve g = -3*g - 4, z = -u + 5*g + 8 for u.
3
Let m be (0/(-1))/(1/1). Let r(l) = -3 + 2*l + m*l + l. Let h be r(3). Solve -4*b = -2*q + 20, -h*q = 2*b - q - 2 for b.
-4
Suppose -10 - 2 = -3*o, -4*y + 3*o = -308. Suppose 2*m + 2*m = y. Solve 2*s - 5*s - 4*l = 23, -5*s - m = 3*l for s.
-1
Let m be 40/(-14)*(-14)/4. Suppose -2*y + 27 = -2*f + 5*f, 0 = 2*f + m. Solve 0*p = -p + 4*w - 15, 0 = 5*p + 4*w - y for p.
1
Suppose -11 - 8 = w. Let c = w - -19. Solve c = 4*h - 20, h = 3*r - 0*r + 5 for r.
0
Let y(z) = z**3 - 2*z**2 + z + 2. Let t be y(2). Let m(o) = 4*o - 7. Let a be m(t). Solve -5 = 4*v - 5*n + 2, -3*v - n + a = 0 for v.
2
Let u be (1/2)/(1/10). Let v = -3 + u. Solve l + 7 = 3*t, l + v*l + 5*t = -7 for l.
-4
Let g be 5 + (-3 - -1) + 2. Suppose 2*b = -5*y, -b + g*y = 4*y. Let p = b + 4. Solve -l - p*v - 11 = 0, 5*l + 3*v - 6*v - 37 = 0 for l.
5
Let p(l) = 4*l**2 - 19*l - 5. Let j be p(5). Suppose -b + 6 = b. Solve 7 = -4*u - 5*q, -2*u + j*u - 3*q - b = 0 for u.
-3
Suppose 0 = 5*n - 20*n + 45. Solve n*p - 4*p - 7 = 2*h, -3*h - 8 = 4*p for p.
1
Let v(p) = -p**3 + 41*p - 1. Let o be v(6). Solve -3*i = -5*a - o, -i - 5*a - 9 = 8 for i.
3
Let c = 27 - 17. Suppose 0 = -2*v + u + c, -4*v + 2*v - 2 = 5*u. Solve v*p + 24 = -4*q, 0*q - 4*q - 26 = 5*p for p.
-2
Suppose 0 = 33*p - 32*p - 2. Let c(h) = 3*h - 7. Let b be c(5). Suppose -5*f - 4*g + 1 = -9, g = 4*f - b. Solve 5*o = 5*z - 20, 5*z + 3*o - p*o = f for z.
1
Let o(i) = 3*i**3 - 2*i + 1. Let l(j) = j**2 - 9*j + 9. Let u be l(8). Let n be o(u). Solve n*p + p = k + 7, 0 = 3*k - 2*p + 14 for k.
-4
Let p(t) = -t**2 + 7*t - 6. Let f be p(7). Suppose 4*r = -r + 2*x + 3, -4*r = -x. Let k be r/(9/f + 1). Solve -4*b = -k*z + 17 + 13, -3*z = -3*b - 30 for b.
-5
Let p = 75 - 53. Solve 5*x - 26 = 4*d, 4*x - 3*d = -x + p for x.
2
Let q be (-120)/(-21) + 2/7. Suppose o + 2 - q = 0. Solve -a = 2*a, 4*j = o*a - 4 for j.
-1
Let s(p) = p**3 - 6*p**2 + 5*p. Let l be s(5). Let c = 2 - l. Suppose -u = -5, -u + 0*u + 5 = -c*j. Solve j = -k - 2*b - 6 - 1, -4*k + 37 = -5*b for k.
3
Let f be (-34)/(-7) + 6/42. Suppose 5*n - 50 - 55 = 0. Let p = n + -6. Solve 3*r + 9 + p = -4*m, 2*r + f = m for r.
-4
Let q be (-68)/(-8) - 1/2. Solve i = 4, 2*i = -2*t + 4*i - q for t.
0
Suppose 4*y = 5*y - 1. Let t be -3 + 1/y - -2. Suppose t = 3*m - m - 3*i + 2, -5*m + 5 = -5*i. Solve 23 = -2*f - 0*f - 3*h, 2*f + m*h + 33 = 0 for f.
-4
Let p = 3 - -1. Suppose -5*o + 2 = -8. Solve -o*l + 18 = 3*a, -a = a + p*l - 20 for a.
4
Let c = 2 + 15. Let y = c + -8. Solve 3*d + y = -2*a, 3*d = -4*a - d - 16 for a.
-3
Let y(j) = j + 4. Let v be y(-3). Let u = 4 - v. Solve -8 = 4*x - a + 9, -a = x + u for x.
-4
Let o = -7 - -7. Suppose -3*j - 3*j + 6 = o. Solve | {
"pile_set_name": "DM Mathematics"
} |
- 168.
-4*(f - 42)*(f + 1)*(4*f - 1)
Solve -25*z**4/4 - 5*z**3 + 21*z**2/4 + 5*z + 1 = 0.
-1, -2/5, 1
Let -10*j**3/9 - 2*j**2/9 + 26*j/9 + 2 = 0. Calculate j.
-1, 9/5
Determine f so that 2*f**2/9 + 286*f/9 + 188/3 = 0.
-141, -2
Let r**2 - 21*r = 0. Calculate r.
0, 21
Factor -5*p**2 - 11000*p - 6050000.
-5*(p + 1100)**2
Factor 2*h**2/13 + 80*h/13 + 152/13.
2*(h + 2)*(h + 38)/13
Find u, given that 2*u**2/5 - 32/5 = 0.
-4, 4
Suppose 5*u**5 - 415*u**4 + 9210*u**3 - 24800*u**2 + 16000*u = 0. Calculate u.
0, 1, 2, 40
Factor 2*o**4/5 - 9*o**3/5 + 4*o**2/5.
o**2*(o - 4)*(2*o - 1)/5
Factor h**4 - 91*h**3 + 1818*h**2 + 12096*h - 13824.
(h - 48)**2*(h - 1)*(h + 6)
Let -25*g**5 + 35*g**4 + 105*g**3 - 55*g**2 - 160*g - 60 = 0. What is g?
-1, -3/5, 2
Factor -2*a**3 - 6*a**2 + 2*a + 6.
-2*(a - 1)*(a + 1)*(a + 3)
What is p in -5*p**3/4 - 10*p**2 + 955*p/4 - 855/2 = 0?
-19, 2, 9
Factor -3*h**2 + 84*h - 81.
-3*(h - 27)*(h - 1)
Factor -118*l**4 + 3544*l**3 - 35520*l**2 + 119200*l - 4000.
-2*(l - 10)**3*(59*l - 2)
Suppose 4*n**4/9 + 76*n**3/3 - 80*n**2 = 0. Calculate n.
-60, 0, 3
Find y such that 2*y**4/9 + 2*y**3/9 - 2*y**2/9 - 2*y/9 = 0.
-1, 0, 1
Factor -i**5/3 + 38*i**4/3 + 206*i**3/3 + 380*i**2/3 + 299*i/3 + 86/3.
-(i - 43)*(i + 1)**3*(i + 2)/3
Factor -2*v**3/7 - 124*v**2/7 + 2*v/7 + 124/7.
-2*(v - 1)*(v + 1)*(v + 62)/7
Factor 3*x**5 + 3*x**4 - 42*x**3 - 72*x**2.
3*x**2*(x - 4)*(x + 2)*(x + 3)
Factor y**3 - 17*y**2 + 44*y - 28.
(y - 14)*(y - 2)*(y - 1)
Determine k, given that 52*k**3 + 100*k**2 + 48*k = 0.
-1, -12/13, 0
Factor 3*v**2 - 10224*v + 8710848.
3*(v - 1704)**2
Determine k, given that 2*k**2/15 - 34*k/5 + 376/15 = 0.
4, 47
Factor -i**2 + 40*i + 41.
-(i - 41)*(i + 1)
Suppose -2*u**2/17 - 12652*u/17 - 20009138/17 = 0. What is u?
-3163
Factor d**4/3 + 11*d**3/3 - d**2 - 35*d/3 - 22/3.
(d - 2)*(d + 1)**2*(d + 11)/3
Factor -x**4/2 + 12*x**3 + 236*x**2 + 1104*x + 1368.
-(x - 38)*(x + 2)*(x + 6)**2/2
Suppose -5*r**2 - 140*r - 980 = 0. What is r?
-14
Find k, given that 3*k**4 - 9*k**3 - 72*k**2 + 240*k = 0.
-5, 0, 4
Factor b**3/9 + b**2/3 + 2*b/9.
b*(b + 1)*(b + 2)/9
Factor 3*r**2/4 - 717*r/4 - 723/2.
3*(r - 241)*(r + 2)/4
Factor -3*l**2/5 - 39*l/5 + 144/5.
-3*(l - 3)*(l + 16)/5
Determine a so that -3*a**3 - 4077*a**2 - 8145*a - 4071 = 0.
-1357, -1
Factor -2*x**5 + 6*x**4 - 4*x**3.
-2*x**3*(x - 2)*(x - 1)
Factor -5*q**2 + 990*q - 49005.
-5*(q - 99)**2
Solve 3*q**3/4 + 135*q**2/2 - 3*q/4 - 135/2 = 0.
-90, -1, 1
Determine m so that 2*m**3/11 + 26*m**2/11 + 60*m/11 = 0.
-10, -3, 0
Factor -5*s**2 + 1020*s - 52020.
-5*(s - 102)**2
Find f, given that f**2/5 + 84*f/5 = 0.
-84, 0
Factor -a**2/4 + 43*a/2 + 455/4.
-(a - 91)*(a + 5)/4
Factor -4*f**3 - 1980*f**2 - 326700*f - 17968500.
-4*(f + 165)**3
Factor 3*n**4 + 3*n**3 - 36*n**2 - 84*n - 48.
3*(n - 4)*(n + 1)*(n + 2)**2
Factor 15*q**2 - 66*q + 24.
3*(q - 4)*(5*q - 2)
Factor v**3/5 + 13*v**2/5 - 29*v/5 + 3.
(v - 1)**2*(v + 15)/5
Factor 2*s**2 - 18*s - 20.
2*(s - 10)*(s + 1)
Solve -r**4 + 28*r**3 - 132*r**2 = 0.
0, 6, 22
Factor 4*f**3 - 16*f.
4*f*(f - 2)*(f + 2)
Find f such that 6*f**5/7 - 4*f**4 + 34*f**3/7 + 12*f**2/7 - 40*f/7 + 16/7 = 0.
-1, 2/3, 1, 2
Factor -15*l**3 - 392*l**2 - 2587*l - 338.
-(l + 13)**2*(15*l + 2)
Let 5*z**5 - 655*z**4 - 1325*z**3 - 665*z**2 = 0. Calculate z.
-1, 0, 133
Factor -2*o**2/13 + 6*o/13 - 4/13.
-2*(o - 2)*(o - 1)/13
Factor -3*v**2/5 - 816*v/5 - 2421/5.
-3*(v + 3)*(v + 269)/5
Factor 4*v**2 + 892*v - 896.
4*(v - 1)*(v + 224)
Suppose 2*f**5/7 - 20*f**4/7 + 58*f**3/7 - 16*f**2/7 - 96*f/7 = 0. Calculate f.
-1, 0, 3, 4
Factor g**5 - 2*g**4 - 9*g**3 + 18*g**2.
g**2*(g - 3)*(g - 2)*(g + 3)
Let -a**2/8 + 203*a/8 = 0. What is a?
0, 203
Suppose -7*g**4 + 12*g**3 - 3*g**2 - 2*g = 0. Calculate g.
-2/7, 0, 1
Factor 2*q**3 - 220*q**2/7 - 568*q/7 - 144/7.
2*(q - 18)*(q + 2)*(7*q + 2)/7
Suppose -4*x**5/7 + 18*x**4/7 - 2*x**3 - 12*x**2/7 = 0. What is x?
-1/2, 0, 2, 3
Find x, given that -5*x**5 - 5*x**4 + 30*x**3 + 20*x**2 - 40*x = 0.
-2, 0, 1, 2
Determine l so that 2*l**2/5 + 156*l/5 - 558 = 0.
-93, 15
Suppose w**5/4 + w**4/2 - 7*w**3/4 - 2*w**2 + 3*w = 0. What is w?
-3, -2, 0, 1, 2
Suppose 2*t**2 - 8169*t + 4084 = 0. Calculate t.
1/2, 4084
Solve -33*o**3/4 - 263*o**2/2 - 520*o + 32 = 0 for o.
-8, 2/33
Factor -y**2 + 394*y - 2709.
-(y - 387)*(y - 7)
Let -4*t**5 + 44*t**4 - 124*t**3 + 68*t**2 + 128*t - 112 = 0. What is t?
-1, 1, 2, 7
Determine z, given that -4*z**2 + 20*z + 56 = 0.
-2, 7
Let 2*c**2/11 - 36*c/11 = 0. What is c?
0, 18
Suppose 12*i**2/5 + 2558*i/5 + 426/5 = 0. Calculate i.
-213, -1/6
Suppose 33*c**5 + 144*c**4 + 246*c**3 + 204*c**2 + 81*c + 12 = 0. What is c?
-1, -4/11
Factor -2*v**3/15 - 2*v**2/3 + 28*v/15.
-2*v*(v - 2)*(v + 7)/15
Determine t so that 9*t**4/5 - 30*t**3 - 12*t**2 + 30*t + 51/5 = 0.
-1, -1/3, 1, 17
Let 4*a**4/7 - 16*a**3/7 - 60*a**2/7 + 72*a/7 = 0. Calculate a.
-3, 0, 1, 6
Solve l**3/2 + 14*l**2 + 169*l/2 - 99 = 0.
-18, -11, 1
Let n**2/3 - 17*n/3 - 740/3 = 0. Calculate n.
-20, 37
Factor -4*o**4 + 4*o**3 + 8*o**2.
-4*o**2*(o - 2)*(o + 1)
Find p, given that -2*p**4/3 - 46*p**3/3 - 112*p**2/3 + 184*p/3 + 160 = 0.
-20, -3, -2, 2
Solve 2*v**5 + 44*v**4 + 278*v**3 + 356*v**2 - 280*v - 400 = 0.
-10, -2, -1, 1
Factor -b**2/4 - 144*b - 20736.
-(b + 288)**2/4
Determine g so that -4*g**4 + 44*g**3 - 92*g**2 - 44*g + 96 = 0.
-1, 1, 3, 8
Factor 2*s**4/9 - 4*s**3/9 + 4*s/9 - 2/9.
2*(s - 1)**3*(s + 1)/9
Factor 3*m**5 - 21*m**4 + 24*m**3 + 48*m**2.
3*m**2*(m - 4)**2*(m + 1)
Factor 4*v**4 + 4*v**3 - 12*v**2 - 20*v - 8.
4*(v - 2)*(v + 1)**3
Factor 5*b**4 - 15*b**3 - 10*b**2 + 60*b - 40.
5*(b - 2)**2*(b - 1)*(b + 2)
Solve -16*g**5 + 260*g**4 - 1568*g**3 + 4216*g**2 - 4560*g + 900 = 0.
1/4, 3, 5
Let -k**5/3 - 155*k**4/3 + 2*k**3/3 + 310*k**2/3 - k/3 - 155/3 = 0. Calculate k.
-155, -1, 1
Solve -28*o**4/9 - 13*o**3 + 43*o**2/9 + 131*o/3 - 11 = 0.
-3, 1/4, 11/7
Factor -4*d**2 + 192*d - 2304.
-4*(d - 24)**2
Factor o**5/2 + 71*o**4 - 216*o**3 + 217*o**2 - 145*o/2.
o*(o - 1)**3*(o + 145)/2
Find i, given that 100*i**5/7 + 130*i**4/7 - 94*i**3/7 - 16*i**2 - 24*i/7 = 0.
-3/2, -2/5, 0, 1
Let l**5/2 - 6*l**4 - 75*l**3/2 + 341*l**2 + 1452*l = 0. What is l?
-6, -4, 0, 11
Find p such that 4*p**4 + 5*p**3 - 55*p**2 - 110*p - 24 = 0.
-3, -2, -1/4, 4
Factor -p**3/8 - p**2 - 11*p/8 + 5/2.
-(p - 1)*(p + 4)*(p + 5)/8
Solve -c**5/2 - 7*c**4/2 + c**3/2 + 67*c**2/2 + 30*c = 0.
-5, -4, -1, 0, 3
Factor -9*q**2 + 915*q - 1794.
-3*(q - 2)*(3*q - 299)
Factor -198*g**3/7 + 598*g**2/21 - 4*g/21.
-2*g*(g - 1)*(297*g - 2)/21
Factor 3*j**3 + 18*j**2 + 15*j.
3*j*(j + 1)*(j + 5)
Let -2*w**4/5 + 82*w**3/5 - 586*w**2/5 - 5842*w/5 + 6348/5 = 0. What is w?
-6, 1, 23
Determine p so that -3*p**3/5 + 21*p**2/5 - 6*p/5 - 24 = 0.
-2, 4, 5
Factor -3*t**3/7 - 87*t**2/7 - 153*t/7 + 243/7.
-3*(t - 1)*(t + 3)*(t + 27)/7
Let -2*i**2/13 - 94*i/13 - 180/13 = 0. Calculate i.
-45, -2
Find r such that -3*r**2 + 5451*r - 10890 = 0.
2, 1815
Factor i**2/2 - 51*i.
i*(i - 102)/2
Factor -2*j**2 - 24*j + 26.
-2*(j - 1)*(j + 13)
Find x, given that -5*x**2 - 10*x + 15 = 0.
-3, 1
Factor -3*m**3/7 - 717*m**2/7 - 1425*m/7 - 711/7.
-3*(m + 1)**2*(m + 237)/7
Factor 2*m**3/7 - 10*m**2/7 + 12*m/7.
2*m*(m - 3)*(m - 2)/7
Suppose 4*d**5/9 - 4*d**4/3 - 44*d**3/9 + 4*d**2/3 + 40*d/9 = 0. Calculate d.
-2, -1, 0, 1, 5
Factor 4*x**3 + 152*x**2 + 404*x - 560.
4*(x - 1)*(x + 4)*(x + 35)
Find g, given that -5*g**2 + 1775*g - 3530 = 0.
2, 353
Determine b, given that 30*b**5 - 574*b**4 + 2986*b**3 - 1738*b**2 - 4680*b + 648 = 0.
-1, 2/15, 2, 9
What is m in -2*m**3 - 240*m**2 - 934*m - 696 = 0?
-116, -3, -1
Solve -u**2/3 - 196*u - 28812 = 0.
-294
Factor -2*q**5/19 - 164*q**4/19 - 230*q**3 - 34664*q**2/19 + 83104*q/19 - 43904/19.
-2*(q - 1)**2*(q + 28)**3/19
Factor -p**4/3 + 17*p**3/3 + 37*p**2/3 + 19*p/3.
-p*(p - 19)*(p + 1)**2/3
Factor 2*i**4/7 + 38*i**3/7 + 36*i**2/7.
2*i**2*(i + 1)*(i + 18)/7
What is i in 28*i**3 + 232*i**2 + 400*i + 96 = 0?
-6, -2, -2/7
Find v, given that 8*v**5/5 + 206*v**4/5 - 252*v**3 + 1294*v**2/5 - 248*v/5 = 0.
-31, 0, 1/4, 1, 4
Factor 2*b**5 + 18*b**4 + 52*b**3 + 68*b**2 + 42*b + 10.
2*(b + 1)**4*(b + 5)
Factor -3*g**2/2 - 783*g/2 + 393.
-3*(g - 1)*(g + 262)/2
Solve 2*n**3 + 20*n**2 - 26*n - 44 = 0 for n.
-11, -1, 2
Factor a**4/2 + 5*a**3 - 19*a* | {
"pile_set_name": "DM Mathematics"
} |
t of 422 and -5.
-2110
Product of 1.9 and 1.7.
3.23
-2.32 * 5
-11.6
Calculate 0.5*-412.
-206
Work out 4 * -11.
-44
Multiply -0.2 and -1532.
306.4
Work out 2 * -167.4.
-334.8
Work out -36 * -2.
72
Calculate -58*-0.4.
23.2
-0.3 times -2.2
0.66
Product of 14546 and -0.4.
-5818.4
0.2 * -2
-0.4
What is the product of -376 and -2?
752
0.2*-24
-4.8
2467 * -5
-12335
7 * -301
-2107
-0.0176*1
-0.0176
0.07*-0.45
-0.0315
Multiply 0.16 and 502.
80.32
-0.1 * -201
20.1
Multiply -5 and 0.26.
-1.3
Product of -0.1 and -0.93.
0.093
What is 3411 times 0.6?
2046.6
Multiply -0.13 and 0.08.
-0.0104
What is 3.5 times -5?
-17.5
Calculate -24.56*-5.
122.8
Multiply 18 and 1.6.
28.8
Multiply -0.06 and 0.0237.
-0.001422
Calculate -1*-0.623.
0.623
Calculate 0.3*53.
15.9
Product of 0.0569 and -0.1.
-0.00569
Multiply 0.028 and 13.6.
0.3808
4*0.0032
0.0128
Calculate -44*-0.16.
7.04
455 times -0.24
-109.2
What is -6 times 12?
-72
Calculate -9*20.
-180
Product of 5.5 and 2.
11
Multiply -4 and 32.
-128
Calculate 39*0.
0
Calculate -22*5.
-110
0.071*5
0.355
-0.1 * -13.1
1.31
Product of -2 and 219.5.
-439
-0.01 times 41
-0.41
What is the product of -0.495 and -0.4?
0.198
-29 * -0.7
20.3
What is the product of -137.6 and -0.5?
68.8
0.35*98
34.3
Multiply 0.039 and 5.
0.195
1.778 * -0.3
-0.5334
Multiply 3 and 12.7.
38.1
What is -413 times 2?
-826
131 times 1
131
Product of -0.215 and -3.
0.645
Work out -2502 * -1.
2502
Multiply 0.8 and 0.1.
0.08
What is -7.27 times 0?
0
What is -0.5 times -1193?
596.5
-0.0279 * -2.6
0.07254
Multiply -2145 and -10.
21450
Work out -5 * 83.56.
-417.8
Work out 17 * 2.
34
Work out 0.11 * 2.
0.22
What is -0.23 times 0.5?
-0.115
Calculate 4*16.
64
Work out 94 * 0.4.
37.6
Multiply -338 and -4.
1352
-4421 * -0.3
1326.3
What is 2 times -6.1?
-12.2
-3.1*-0.2
0.62
Calculate 5*21.
105
Calculate 0.3*1649.
494.7
-0.3 times 114
-34.2
What is 0.1 times 0.83?
0.083
2.79 times 1.2
3.348
-0.01 * -0.323
0.00323
901*-0.1
-90.1
-0.1 * -418
41.8
Calculate -117.1*4.
-468.4
Product of 0.8 and 3.
2.4
-0.1648 times -4
0.6592
Multiply -89.34 and 3.
-268.02
What is 4 times 0.004?
0.016
-13.042 times 3
-39.126
Multiply -0.2 and -0.69.
0.138
590 times -1
-590
Calculate -4.89*-1.3.
6.357
Calculate -1052*-0.1.
105.2
Work out 15 * 5.9.
88.5
158.6 * -0.06
-9.516
-0.4 times 0.1362
-0.05448
Calculate 29*-716.
-20764
5 times 2798
13990
Multiply 1 and -1.563.
-1.563
Calculate 0.4*-3.01.
-1.204
13 times 97
1261
What is 2 times 1399?
2798
What is the product of 16 and -2.9?
-46.4
Multiply -1000 and 4.
-4000
-0.4*3352
-1340.8
356 * -0.049
-17.444
Product of 5 and -325.
-1625
Product of -17.5 and -0.1.
1.75
3.7 * -196
-725.2
Product of 1.9 and -75.
-142.5
-0.1 * -1.9
0.19
Calculate -2.2*0.459.
-1.0098
Multiply -3 and -183.
549
Product of 0.1 and -43.
-4.3
0.065*-0.05
-0.00325
-335 * -1
335
-0.5 * -1.31
0.655
Work out -81 * -161.
13041
-0.06 times -0.4576
0.027456
0.5*77
38.5
0.009 times 151
1.359
633 times -0.5
-316.5
What is -4 times -28.1?
112.4
Multiply 27 and 5.
135
What is -5.75 times 2?
-11.5
What is the product of -20 and 14?
-280
Work out 0.2554 * -0.01.
-0.002554
0.4 times 0.1
0.04
273*-4
-1092
Product of -3 and -8.3.
24.9
Work out 178 * 1.
178
0.0922*-1
-0.0922
Work out 0.1 * -2.55.
-0.255
Calculate 2.02*2.
4.04
2*-1260
-2520
What is the product of -1.74 and 0.022?
-0.03828
0.18*-59
-10.62
Calculate -1*1505.
-1505
Work out 1 * 372.
372
Calculate -49*29.
-1421
-13*-0.36
4.68
Calculate 13988*-0.5.
-6994
320 times -8
-2560
10.83 * -0.1
-1.083
0.47 * -0.22
-0.1034
Multiply -726 and 0.25.
-181.5
5 * -0.04861
-0.24305
Calculate 0.05191*3.
0.15573
0.1 times 1299
129.9
-0.01174*0.3
-0.003522
0.1 times 2.1
0.21
4.8*10
48
Product of 1367 and 0.
0
Work out 2.6 * 107.4.
279.24
1938 times 0.1
193.8
Calculate 39.36*-2.
-78.72
Work out -3 * -173.
519
-4 * -37
148
Multiply -6.02 and 0.
0
Multiply -31 and -0.8.
24.8
Multiply 2 and -1.6.
-3.2
Product of -4 and 21.
-84
Work out 21 * 11.
231
Work out -0.3 * -72.
21.6
Calculate 0.58*0.05.
0.029
Multiply -10 and 323.
-3230
-0.4 * -3.78
1.512
Work out -77 * 8.
-616
Work out 5 * -0.101.
-0.505
Product of -506 and -3.
1518
Calculate -1*-1.55.
1.55
Product of 0.069 and 20.
1.38
Work out 0.605 * 0.01.
0.00605
182 * 0.4
72.8
What is the product of 49.4 and -0.72?
-35.568
What is 13 times -6.2?
-80.6
Work out -6.1 * 0.22.
-1.342
What is the product of -5 and -60?
300
0.7 times -15
-10.5
Multiply 2.3 and 64.
147.2
What is the product of -65 and 3?
-195
27 times -0.041
-1.107
Multiply -3 and -1.055.
3.165
Calculate -710*0.3.
-213
Product of -0.4 and -0.09.
0.036
What is 129 times 0.5?
64.5
-0.3*2.82
-0.846
354.2*0.2
70.84
1.5 times 0.4
0.6
-1 times -11.85
11.85
Work out 49 * 56.
2744
Work out -12 * -2.6.
31.2
20 * -0.16
-3.2
What is 0.8759 times 0?
0
Multiply -16 and -0.49.
7.84
-1 times -2282
2282
Calculate -1.8*0.46.
-0.828
-6 times 0.625
-3.75
-13 times 1348
-17524
Work out -0.6 * 1315.
-789
Calculate -12.1*-0.4.
4.84
What is 103 times 0.03?
3.09
What is -21 times -17?
357
Multiply 0 and 0.15.
0
Calculate 90*0.5.
45
Calculate 9*2.02.
18.18
0.4*0.047
0.0188
Product of 0.5 and 16.5.
8.25
-2148 * 1
-2148
Work out -33 * -0.8.
26.4
What is -8093 times -4?
32372
Product of -1.143 and 0.1.
-0.1143
0.004 times 0.3
0.0012
-7 times -321
2247
-0.189 times -9
1.701
Product of -2 and 113.
-226
What is the product of 41 and 2?
82
What is the product of 40 and -6?
-240
Multiply 0 and -917.
0
Calculate -0.15*-187.9.
28.185
Calculate 3.7*0.
0
What is -0.1 times -808?
80.8
0.0223*-3
-0.0669
What is the product of 0.4 and 0.247?
0.0988
What is 8 times 0.46?
3.68
20 * -0.3
-6
Work out -2 * -466.
932
What is 0.4 times -72?
-28.8
Calculate 0.6*0.04.
0.024
0.1 * -0.73
-0.073
-1.1 times 0.14
-0.154
Calculate 532*2.
1064
Work out -4.1 * -4.
16.4
Work out 0.4 * 35.
14
Work out 4.38 * -0.4.
-1.752
-0.058*-427
24.766
Product of 0.4878 and 0.1.
0.04878
Calculate -2*2.94.
-5.88
What is the product of 0.86 and -0.2?
-0.172
What is the product of 17 and 813?
13821
-136*-0.1
13.6
Product of 0.1 and -31.
-3.1
Work out 0.3 * -20.
-6
-2 * -203
406
Calculate -2*-3.16.
6.32
-2 times -125
250
1038 * 5
5190
Calculate 4*-18.
-72
Work out -26 * 0.021.
-0.546
Work out 0.5 * 3022.
1511
What is 149 times -11?
-1639
Work out 7 * -2762.
-19334
195*-94
-18330
-0.0103*0.3
-0.00309
What is 2 times 56?
112
-8*-86
688
-2*15.2
-30.4
Work out 0 * 0.09.
0
0.1 * 17
1.7
What is the product of -3 and -26.93?
80.79
Product of 147 and -0.41.
-60.27
Work out 0.0176 * 2.
0.0352
What is -2 times 1?
-2
Calculate 2271*0.
0
What is the product of -3 and 1.63?
-4.89
What is the product of 272 and 0?
0
Product of 5 and 283.6.
1418
What is -2 times 1552?
-3104
What is 0.08 times 165?
13.2
Product of -1 and 409.
-409
Calculate 0.5*-407.
-203.5
What is the product of 2.7 and -12?
-32.4
Multiply -18.07 and 0.04.
-0.7228
-9.8 * -131
1283.8
-9.1*3
-27.3
What is -22 times 26?
-572
Product of -23 and 0.06.
-1.38
0.04 * -3
-0.12
Calculate 4*2.23.
8.92
What is -0.204 times -0.08?
0.01632
3265 times 0.1
326.5
Work out 8 * 520.
4160
Calculate -0.4*14.86.
-5.944
1 times 0.2392
0.2392
Multiply 0.1 and 21.
2.1
What is the product of 0.1 and -16?
-1.6
Product of 68 and -0.8.
-54.4
Work out -1 * 61.
-61
Product of 369 and -0.5.
-184.5
Calculate 4*-0.11.
-0.44
-90 times -13
1170
Calculate -0.1*387.
-38.7
What is 117 times -0.028?
-3.276
0.631 times -4
-2.524
-3 times -9126
27378
Calculate 0.2*-0.0448.
-0.00896
Calculate -24*8.
-192
What is 32.2 times 4?
128.8
What is the product of 0.021 and -4.6?
-0.0966
Calculate -1*-309.
309
What is 3 times -31?
-93
-0.4 times -1088
435.2
Product of -0.1889 and 0.4.
-0.07556
What is the product of 0.0511 and 5?
0.2555
2 times 132
264
-1.2*-0.212
0.2544
Multiply 0.1 and -0.19.
-0.019
Product of -4413 and 0.
0
Multiply 0.2 and 394.
78.8
Work out -3 * 0.01.
-0.03
Multiply 0.507 and -0.4.
-0.2028
What is the product of 4 and -1556?
-6224
Multiply -86 and -7.
602
-1529 * 0.3
-458.7
Product of 125 and -0.7.
-87.5
What is -34.9 times 3?
-104.7
-0.027*0.2
-0.0054
Work out 3.2 * -40.
-128
Calculate -9*-0.1368.
1.2312
What is -0.426 times -0.2?
0.0852
Multiply -0.045 and 18.
-0.81
What is the product of -4.3 and 0.32?
-1.376
-5*76
-380
What is -19 times -2.7?
51.3
-1 * 2213
-2213
Multiply 0.111 and 0.2.
0.0222
What | {
"pile_set_name": "DM Mathematics"
} |
6. Round d to six dps.
0.000004
Let v be 3*2 - (-15 + 15856 + 8). What is v rounded to the nearest 1000?
-16000
Let s be (-20)/(-4)*(-12)/10. Let p(q) = -4*q - 14. Let z be p(s). Let l(v) = -8*v**2 - 2*v - 20. Let t be l(z). Round t to the nearest one hundred.
-800
Suppose 465 = 2*z + 3*w, z = -w - 2*w + 234. Let v = -152 + z. What is v rounded to the nearest 100?
100
Let d = -428.5 + 357. Let t = 71.48495 + d. Let m = 0.015 + t. Round m to 5 dps.
-0.00005
Let a = 6133 + -6133.4777. What is a rounded to 2 dps?
-0.48
Suppose 0 = 8*a - 7*a + 4*m + 12077, 48356 = -4*a - 4*m. Round a to the nearest one thousand.
-12000
Let k = 9644411 - 9644535.00093. Let f = 124 + k. Round f to four decimal places.
-0.0009
Let o = -0.0293 - -0.5713. Let z = -78.761 - -79. Let j = o - z. What is j rounded to two decimal places?
0.3
Suppose m + 63497 = 939852. Let g = 156355 - m. Round g to the nearest one hundred thousand.
-700000
Let y = -0.48897 + 5.96477. What is y rounded to the nearest integer?
5
Let u = -76.843 + 77.29269. Let i = -0.55 + 0.1. Let b = i + u. What is b rounded to four dps?
-0.0003
Suppose -4*q + 666 = 2*q. Suppose 21 = -5*a + q. Suppose -270081178 = a*x - 3681178. What is x rounded to the nearest one million?
-15000000
Let y = -76 + 22.2. Let n = y + 53.80000572. Round n to seven dps.
0.0000057
Let h = 432203.336 + -446081. Let v = 13958 + h. Let j = v - 80. Round j to one dp.
0.3
Let l = -26788.893588839 + 28719.89358782. Let f = l + -1931. What is f rounded to seven dps?
-0.000001
Let g = 8890 - 8889.3995. Round g to 1 dp.
0.6
Suppose 3*z + 66 = -q + 3*q, -2*q + 58 = -5*z. Suppose 0*n - q = -n. Let o be (-73 - 2)*(-2080)/n. What is o rounded to the nearest 1000?
4000
Let z = 35884823633988417 - 35884828653739893.9999821. Let x = z - -5019751276. Let w = 201 + x. What is w rounded to five dps?
0.00002
Let r = -98.928 + 265.356. Let n = -167 + r. Round n to 2 dps.
-0.57
Let b = -64.155769 + -0.599531. Let q = -667.2 + 732. Let l = b + q. What is l rounded to three decimal places?
0.045
Let t = -164 + 391. Let u = t - 226.999999232. What is u rounded to 7 decimal places?
0.0000008
Let g = 91.589 + -91. Let r = 0.961 + -0.9. Let o = g + r. What is o rounded to one dp?
0.7
Let q = 193580.9964 - 193612. Let i = -62 - -31. Let b = i - q. Round b to 3 decimal places.
0.004
Let a = 6224.53645 - 6224. Let s = a - 64.95445. Let c = 65 + s. What is c rounded to 2 dps?
0.58
Let l = -16.15 - -17. Let q = 0.782 - l. Let t = -0.1 + q. Round t to 2 dps.
-0.17
Let k = 645.287 + -645. Let c = 395.54489 + -395.83. Let u = c + k. What is u rounded to four dps?
0.0019
Let g = -225 - -47. Let m = -177.9958 - g. What is m rounded to three decimal places?
0.004
Let o be (-10)/(-8)*5/25 - (-3780464)/64. Round o to the nearest one thousand.
59000
Let b = 116 + -112.2. Let i = -11554 + 11557.7895. Let a = i - b. What is a rounded to 3 dps?
-0.011
Let p = -13.0984526 - 2938707.8515474. Let f = 2938676.94999475 + p. Let b = -44 - f. What is b rounded to 7 dps?
0.0000053
Suppose -2*w = -2*y - 1336998, -1 = -y - 0. Round w to the nearest one hundred thousand.
700000
Let g = -14 + 2. Let n = g + 13.9. Let a = n - -69.6. Round a to the nearest ten.
70
Let z(f) = 35*f + 288. Let k be z(-8). Let a be 673000/((k + -16)/8). What is a rounded to the nearest one hundred thousand?
-700000
Let t = -1.1 + -20.9. Let q = -595704922 - -595704943.99999816. Let j = t + q. What is j rounded to seven dps?
-0.0000018
Let v = -0.12666 + -109.88334. What is v rounded to zero decimal places?
-110
Let p be (-3 - (-16)/12)*-3. Let a(u) = 54*u**2 - 4*u - 26. Let y be a(p). What is y rounded to the nearest one hundred?
1300
Let i(w) = 20*w**3 + 8*w**2 + 33*w - 53. Let v be i(-6). Round v to the nearest 100.
-4300
Let l be (1*1*-43)/((-16)/32). Suppose l*o - 84*o = -592. What is o rounded to the nearest 100?
-300
Let g = -2.096986235 - -2.097. Round g to 7 dps.
0.0000138
Let j = 36769.3 - 35211. Round j to the nearest 100.
1600
Let y = -718373 + 718449.99408. Let b = -841.1 - -764.1. Let m = b + y. Round m to 3 dps.
-0.006
Let y = -886845.0851537 + 886851.1. Let m = y - -1.2851471. Let i = 7.3 - m. What is i rounded to six dps?
0.000007
Let c = 62246 + -62245.9999939742. What is c rounded to six decimal places?
0.000006
Let k = -0.16929094 - -66.16913594. Let t = -66 + k. Round t to four decimal places.
-0.0002
Let v = -30671.0054177 - -30671. What is v rounded to four dps?
-0.0054
Let q = 390 + -390. Suppose a - 2*l - 37499999 = -3*l, 3*l + 3 = q. What is a rounded to the nearest 1000000?
38000000
Let l(f) = 184081*f + 62. Let c be l(-15). Let n = 4225143 + c. Suppose 6*r - 488008 = 5*r + 4*u, 0 = 3*r + 5*u - n. Round r to the nearest ten thousand.
490000
Let u = 4522541 - 4522541.35400592. Let k = 0.354 + u. What is k rounded to seven decimal places?
-0.0000059
Let n = -6 + 3.8. Let a = 0.06822 + -2.26803. Let l = a - n. What is l rounded to 4 dps?
0.0002
Let k = -88 - -93. Suppose k*i - 961126927 = -v, -v - 154802027 + 539252796 = 2*i. Suppose -1925386 + i = 11*o. What is o rounded to the nearest 1000000?
17000000
Let v = -1089 - -1080.232. Let i = -6.79 - v. Round i to one decimal place.
2
Let u = -3696376169422067 - -3696376008479632.7000081. Let p = -160942451 - u. Let r = p - -16.7. Round r to six dps.
-0.000008
Let q = -172.83 - -172. Let j = q + 0.82999614. What is j rounded to seven decimal places?
-0.0000039
Let u = 8865 - 8864.9999978919. Round u to seven dps.
0.0000021
Let d = 93416 - 93417.43034. What is d rounded to 1 dp?
-1.4
Let h = -3192.42 + 3227. Let u = 4.12 + h. Let f = u + -38.903. Round f to two dps.
-0.2
Let q = 3019 + 3347.9. What is q rounded to the nearest one hundred?
6400
Let b = -451 - -452.3463. Let q = 0.0133 - b. Round q to 2 decimal places.
-1.33
Let x = 111.87 + -104.3. Let i = -7.5699998 + x. Round i to six decimal places.
0
Let w(z) = -276268*z + 124. Let p be w(-7). Round p to the nearest 100000.
1900000
Let i = -120 - -125. Let y(k) = -k**3 + k**2 + 3*k - 5. Let b be y(i). Round b to the nearest one hundred.
-100
Let j = 60.4 - 56. Let l = -17.6 - j. Let a = l + 22.0042. What is a rounded to three decimal places?
0.004
Let z = -1744.997397 + 1745. Round z to three dps.
0.003
Let r = -3428 - -3428.00003764. What is r rounded to five decimal places?
0.00004
Let d = -16832.9991913 + 16833. Round d to 5 decimal places.
0.00081
Let z = 1223147 - 1223230.9837. Let i = -84.153 + 0.153. Let n = z - i. Round n to 3 dps.
0.016
Let g = 78.7 - 69.7. Let n = g + -5.678. Round n to the nearest integer.
3
Let q = -6223425075 - -6223424984.00000106. Let u = -0.167 + 91.167. Let s = u + q. Round s to 7 decimal places.
0.0000011
Let k(n) = -4280*n + 3400. Let d be k(39). Round d to the nearest one thousand.
-164000
Suppose 3*t - 7143 = -2*j, 4*t = 4*j - 10902 - 3434. Suppose 4*u + j = -13541. What is u rounded to the nearest 1000?
-4000
Suppose 10*c = 3*u + 8*c + 5936996, 5*c + 10 = 0. Round u to the nearest 1000000.
-2000000
Let d = -6240 - -6237.73. Round d to zero dps.
-2
Let r(w) = -3*w**3 + 9*w**2 - 18*w - 8. Let z be r(-15). Suppose 100612 = d + z. Round d to the nearest ten thousand.
90000
Let k = 41.5 - 25.1. Let t = 16.4177 - k. Round t to 3 dps.
0.018
Let q = 2147.69 - 1892.444. Let o = 3.546 - q. Round o to the nearest 10.
-250
Let g(m) = -m - 3. Let o be g(-7). Suppose 0 = o*k + 1825 - 33817. Let x be 2 + ((-12)/3 - k). What is x rounded to the nearest one thousand?
-8000
Suppose 13575549 = 17*n - 6*n - 9111951. Round n to the nearest one hundred thousand.
2100000
Let v = 0.56 + -91.56. Let h = -91.43 - v. Let u = h - -0.42971. What is u rounded to four decimal places?
-0.0003
Let i be (-144413)/17 + 16/(-136) - 5. What is i rounded to the nearest 100000?
0
Let a = 522.8 + -522.802231. Round a to 4 dps.
-0.0022
Let q = -85784.77 - -86906. What is q rounded to the nearest ten?
1120
Let k = -22.2606541 - -22.2706. What is k rounded to three dps?
0.01
Let r = -203 + 203.558. Let g = r - 148.358. Let s = 135 + g. Round s to the nearest integer.
-13
Suppose 5*z + u + 22302 = 0, -5*z - 11*u - 22320 = -u. Round z to the nearest 1000.
-4000
Let s = -816 + 815.97. Let n = s + -7.99. What is n rounded to zero dps?
-8
Let b = -662.1 - -662.1036004. What is b rounded to | {
"pile_set_name": "DM Mathematics"
} |
*2)*-5.
-75525 - 1650*sqrt(7)
Simplify -4*5*sqrt(6655)/sqrt(11) + -2 + 0 + -5.
-220*sqrt(5) - 7
Simplify 3*(0 + sqrt(304) + 0 + sqrt(304))*-3 - 5*(((sqrt(304) - (-3 + sqrt(304) - sqrt(304))*-2) + sqrt(304) - sqrt(304))**2 + 5).
-1725 + 168*sqrt(19)
Simplify (-5*(sqrt(4) - (2*sqrt(4)*-3 + sqrt(4)) - sqrt(4)))/(-1*sqrt(8)*3) + 3.
3 + 25*sqrt(2)/6
Simplify 1*(4 + ((sqrt(1900) - (sqrt(1900)*1 + 1) - -4*1*sqrt(1900))**2 - ((sqrt(1900) + 3*sqrt(1900) + -5)**2 + -1))*2).
-42 + 640*sqrt(19)
Simplify -5*((1 + -2 + -3 + sqrt(1008)*3 + -2)*3*3)**2.
-3688740 + 174960*sqrt(7)
Simplify -4*(3 + ((3 + (sqrt(1900) - -2*-1*sqrt(1900)) - -5*(sqrt(1900)*-2 + 5 + sqrt(1900)))*-5)**2).
-6918412 + 336000*sqrt(19)
Simplify -5 + (1*(sqrt(12) + sqrt(48)) + (2 + 0 + sqrt(12) - sqrt(12)) + 1 - -3*(0 + sqrt(768)*-2 + sqrt(768)))**2.
-252*sqrt(3) + 5296
Simplify (sqrt(256)*1)/(sqrt(2)*-1*-3) + 1*(sqrt(1152) - 1*sqrt(1152) - sqrt(512)*-1).
56*sqrt(2)/3
Simplify -5*(6*(2*(sqrt(7) - sqrt(7)*-2) - -1*-2*sqrt(7)))**2 + -2 + 3*(5 + (sqrt(112) - (sqrt(112) + 1 - sqrt(112))))**2.
-19778 + 96*sqrt(7)
Simplify 4*(-4 + -2 + -2 + (sqrt(17) + -2 + 3 - -5*((sqrt(51)/sqrt(3) - sqrt(17))**2 - sqrt(17))) + 4).
-16*sqrt(17) - 12
Simplify (-4*((-5*(sqrt(325) + 1) - -4*1*sqrt(325)) + 0 + 6*(5*sqrt(325) + sqrt(325))))**2.
-28000*sqrt(13) + 6370400
Simplify -3*(-3 + 3*sqrt(272) + 1 + (-4 + sqrt(272) + sqrt(272))*6)**2.
-185628 + 9360*sqrt(17)
Simplify -6*(sqrt(572)/(sqrt(22)/(sqrt(2) - sqrt(8))))/(-4*sqrt(36) - (sqrt(4) + sqrt(12)/sqrt(3)*-5)).
-3*sqrt(13)/4
Simplify ((0 + ((sqrt(147) - (-1 + sqrt(147))) + sqrt(147) + 1 - -5*(sqrt(147) + -1)) + 4*(-5 + -1*sqrt(147)))*2)**2.
-2576*sqrt(3) + 4468
Simplify -5*sqrt(3) + 4 + sqrt(15)/sqrt(5)*3 - (4 + -1 + 1*sqrt(192)).
-10*sqrt(3) + 1
Simplify 1 + (sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153) + 2*sqrt(153)*1)/(sqrt(486)/sqrt(6)) + 4.
5 + 2*sqrt(17)
Simplify (-4*sqrt(891) + 4)*-1 - (2 + ((-2 + sqrt(704))*6 - sqrt(704))**2).
-17750 + 996*sqrt(11)
Simplify 5 + ((sqrt(165)/sqrt(44))/(sqrt(108)*-1) - -3*(0 + sqrt(80))*6)**2.
3724565/144
Simplify (-1*sqrt(117) + 4 - (2*sqrt(117)*4 + sqrt(117)))**2 + (0 + (sqrt(1872) + 1 - sqrt(1872)) + 3)**2 + 0.
-240*sqrt(13) + 11732
Simplify (-1*(sqrt(891) + 1) + -4)**2*-5 - (3 + (sqrt(11) - sqrt(176)) + 5)**2*-2*-1.
-4906 - 354*sqrt(11)
Simplify (6*(-3 + sqrt(288) + 5 + -2) - 1*(5 + -2*(2 + sqrt(288)) + sqrt(288)))**2.
-168*sqrt(2) + 14113
Simplify (0 + (sqrt(1700) + -6*(sqrt(1700) + 0) + 1 - ((sqrt(1700) - (3 + sqrt(1700) + 0)) + sqrt(1700)*2 + 0 + sqrt(1700) + sqrt(1700)))*-1)**2*-5*-1.
-3600*sqrt(17) + 688580
Simplify (1*(sqrt(7) + sqrt(35)/sqrt(5))**2 - sqrt(175)*3) + (2*sqrt(28)/sqrt(4) - (2*sqrt(7))**2*-6)*-3.
-476 - 21*sqrt(7)
Simplify -1*(0 + ((2*sqrt(405) + 3 - (-1 + sqrt(405) + -2))**2 - ((-2 + sqrt(405))*-2 + sqrt(405) - ((sqrt(405) + 0 - sqrt(405)) + 5)**2))).
-462 - 117*sqrt(5)
Simplify (6*(((-5*sqrt(112) - sqrt(112)) + 0 - (sqrt(112) + (3*sqrt(112) - sqrt(112)) + 2)) + 4 + 5)*1)**2.
-18144*sqrt(7) + 328356
Simplify -5 + (1*sqrt(2448))**2*-6 + (-3 + -2 + sqrt(272))**2 + 3.
-14393 - 40*sqrt(17)
Simplify ((5 + sqrt(1088) + sqrt(1088) + -1 + sqrt(1088) + -3)*-6 + (-1 + (-1 + sqrt(1088) - sqrt(1088)) - (3 + 1 + sqrt(1088))))**2.
3648*sqrt(17) + 392912
Simplify 6*(4*sqrt(104)/sqrt(2))**2 - ((sqrt(13)*-5*-3)**2 - (sqrt(13)*2 + 2)).
2*sqrt(13) + 2069
Simplify (sqrt(16) + (sqrt(128)*-3 - sqrt(128))/sqrt(8))/(sqrt(1152) + 1*sqrt(1152)) - (-3 + sqrt(72) + sqrt(72)*-2 + sqrt(72) - (-2 + sqrt(72) + 1)**2).
-97*sqrt(2)/8 + 76
Simplify (2*sqrt(1944))/(sqrt(540)/sqrt(5) - sqrt(12)) + 5 - (-2*-5*-2*sqrt(32))**2.
-12795 + 9*sqrt(2)
Simplify (2*(-5 + -3 + 1 + -5 + sqrt(304) + sqrt(304) + 4))**2.
-512*sqrt(19) + 5120
Simplify 0 + -2 + 2 + sqrt(108) - -2*(-4 + sqrt(75) + sqrt(75)*-1).
-8 + 6*sqrt(3)
Simplify (2*-3*(sqrt(3993) - sqrt(33))*1)/((sqrt(45)/sqrt(5))/sqrt(3) + (sqrt(1200) + sqrt(12))/sqrt(4)).
-5*sqrt(11)
Simplify -4 + (0 + 2*sqrt(720))*2 + (0 + ((sqrt(180) + sqrt(180) + 0 + sqrt(180) + sqrt(180) - sqrt(180) - sqrt(180)) + sqrt(180))**2 - (sqrt(180)*1 + 0)**2).
48*sqrt(5) + 1436
Simplify -4 + -2 + -3*(-5 + 4*sqrt(832) + -1).
-96*sqrt(13) + 12
Simplify -5*(-3*4*(-3*sqrt(300)*-2 + sqrt(300) - (0 + 2*sqrt(300) - sqrt(300)))*5)**2.
-194400000
Simplify (-4 + -4*(-3*((sqrt(99) + -2*sqrt(99))*1)/((sqrt(108)*1 + sqrt(108))/sqrt(12)) + 5) + -4)**2.
336*sqrt(11) + 1180
Simplify (3*((1 + 1 + sqrt(32) - (2*sqrt(32) - sqrt(32))*-2)*-3 + -5))**2.
7128*sqrt(2) + 24417
Simplify (-4*sqrt(300))/(sqrt(6) + sqrt(6) + 2*sqrt(96) + sqrt(6)) + (((sqrt(72) - sqrt(8))/sqrt(4))**2 - sqrt(2) - 2*-1*sqrt(2))*2.
2*sqrt(2)/11 + 16
Simplify (-6*(-4*(sqrt(2600) + 2*sqrt(2600))*3)/(6*(sqrt(288) - sqrt(8)*4)))**2.
105300
Simplify -4*(-1 + (sqrt(108) + 2 + sqrt(108) + 0)*-2 + 0)**2 + 3.
-7009 - 960*sqrt(3)
Simplify (5*sqrt(1029) - (sqrt(147) - sqrt(147)*4)/sqrt(7))/(sqrt(18)/(sqrt(6) - -6*sqrt(600))*-6).
-1159*sqrt(7)/3
Simplify ((sqrt(15) - sqrt(60))*-2*-6)/((sqrt(3) - (sqrt(12) + sqrt(48) + sqrt(12) + sqrt(12))) + sqrt(900)/sqrt(12))*2.
6*sqrt(5)
Simplify -4 + 4 + 3*(0 + (sqrt(1053) + 2 - sqrt(1053) - sqrt(1053)) - -6*sqrt(1053)*-1)**2 + 3.
-756*sqrt(13) + 154806
Simplify ((1*((sqrt(2) - sqrt(6)/sqrt(3)) + sqrt(2))*-1 - (-2*sqrt(4)/sqrt(2) + -4)) + (-1*sqrt(1296))/(2*-1*sqrt(8))*6)**2.
224*sqrt(2) + 1584
Simplify (-4*sqrt(156)*-2*-4)/(sqrt(240)/(sqrt(5) - (sqrt(25)/sqrt(5) - sqrt(5))))*2.
-32*sqrt(13)
Simplify -3 + (3*(sqrt(11)*-1 + sqrt(11)) - (sqrt(99) + 1)**2 - (sqrt(1584)*1 + sqrt(11) - ((2*sqrt(110))/sqrt(10) - sqrt(11)))*-2).
-103 + 18*sqrt(11)
Simplify -6*((((-1*sqrt(117) - sqrt(117))*-5)/(sqrt(432)/sqrt(3)) - (sqrt(208) + -1 + (5*sqrt(13)*1)**2)) + -5).
9*sqrt(13) + 1974
Simplify (((sqrt(180) - (sqrt(180) + sqrt(180) + sqrt(180)*-2)*-6 - sqrt(180))/(sqrt(12)*1*6))/(1*(-2*sqrt(363) - sqrt(432)/sqrt(9))))**2.
0
Simplify 2 + (sqrt(192) + sqrt(192)*1 + 3)**2 + (-4*sqrt(33)*3)/sqrt(11) + 3.
84*sqrt(3) + 782
Simplify (5 + 1 + (sqrt(176) + 0)*2 - (1*sqrt(176)*-3 + -5)*1)**2.
440*sqrt(11) + 4521
Simplify ((-2*sqrt(228)*-1 - sqrt(228)) + sqrt(228))/((2*sqrt(96))/sqrt(8)) - (0 + sqrt(304) - sqrt(114)/sqrt(6)*-3).
-6*sqrt(19)
Simplify ((sqrt(441) + (sqrt(441) - (sqrt(441) + (sqrt(441) - (sqrt(441) + -2*sqrt(441)) - sqrt(441))*2)))*4)/(sqrt(35)/(sqrt(5)*-2) - sqrt(7)*2*-3).
-24*sqrt(7)/11
Simplify 6*(((sqrt(2)*2 + -5 + 0)**2 - (1 + (-1 + sqrt(162))**2)) + -2) + 0.
-798 - 12*sqrt(2)
Simplify (-5 + ((sqrt(76) - 2*sqrt(76)*-5)*-6)/(-5*sqrt(400)*2))**2.
-33*sqrt(19)/5 + 83191/2500
Simplify ((sqrt(78)*-1 - sqrt(78))*-5)/(sqrt(24)/(sqrt(16)/sqrt(4))) - (-1*sqrt(208) + -3 + (sqrt(208) + (-5 + 2*sqrt(208) + sqrt(208) - sqrt(208)))**2).
-1894 + 134*sqrt(13)
Simplify (sqrt(468) - -3*sqrt(468)) + -3 - (sqrt(468) + -4*sqrt(468)*2)**2 - 5*(4*(sqrt(468) + 0 + sqrt(468)) + 1).
-22940 - 216*sqrt(13)
Simplify -3 + 1*sqrt(51)/(sqrt(3) + sqrt(21)/(sqrt(21)/sqrt(3))) + ((1*sqrt(68) + sqrt(68))*-1 - (sqrt(68) + sqrt(68)*-1*3))**2.
-3 + sqrt(17)/2
Simplify (sqrt(152)/(sqrt(20)/sqrt(5)) - (sqrt(38) - sqrt(38)*-3)*1)/(sqrt(2) + sqrt(288)*-3 - sqrt(1250))*6.
3*sqrt(19)/10
Simplify (-4 + 2 + (sqrt(99) + (sqrt(99) + (1 + sqrt(99) - sqrt(99)) + 4 - sqrt(99)) + 1 - -3*(5 + -1*sqrt(99))))**2.
-228*sqrt(11) + 757
Simplify -1 + ((sqrt(1296)*5 + sqrt(9) + sqrt(9))*-3)/(sqrt(363) - -5*1*sqrt(363)) + -3.
-31*sqrt(3)/11 - 4
Simplify (sqrt(132)/(sqrt(8)/sqrt(2)) + 2*sqrt(825))/((sqrt(77)*2*6)/(sqrt(448)*-2)).
-44*sqrt(3)/3
Simplify 1 + 5*(-2 + ((1 + -1 + sqrt(7))*1)**2)*1.
26
Simplify (sqrt(150)*-4)/(-2*sqrt(2)*-3) - (sqrt(3) + sqrt(33)/sqrt(176) + 4*sqrt(6)/sqrt(2) + -1*(sqrt(3) - ((-1*sqrt(15))/sqrt(5))**2)).
-91*sqrt(3)/12 - 3
Simplify (1 + -2*(sqrt(405) + sqrt(405) + 2 + sqrt(405) + 2*sqrt(405)) + 5*(5 + 1 + sqrt(405))*6)**2 + -2.
63720*sqrt(5) + 193327
Simplify (-1*(2*-1*sqrt(85) - (((sqrt(85) - sqrt(85)*-2) + sqrt(85))*-2 + sqrt(85) + sqrt(85))))/(((sqrt(55) - -2*sqrt(165)/sqrt(3)) + sqrt(55))/sqrt(11)*3).
-sqrt(17)/3
Simplify ((sqrt(18)/((sqrt(12) + sqrt(108) - sqrt(12))/sqrt(2)) + 5 - 6*(sqrt(363)*2 + 5)**2) + 4)*-6.
7918*sqrt(3) + 53118
Simplify 3*(sqrt(117) + (3 + sqrt(117))*4 - (-3 + 2 + sqrt(117)) - (5 + -2*(sqrt(117)*-1 - sqrt(117)) + -4))**2.
432
Simplify 1 + (sqrt(32) | {
"pile_set_name": "DM Mathematics"
} |
**3 - 453*g*x**2 + 43*x**3 wrt x?
30*g**2 - 106704*g + 258
What is the third derivative of 139859664*z**3 + 140790*z**2 - 147?
839157984
Find the second derivative of -9169896*w**2 + 2060124*w wrt w.
-18339792
Find the second derivative of 895*f**4 - 20555*f**3 + 4*f**2 - 51*f - 330181 wrt f.
10740*f**2 - 123330*f + 8
What is the third derivative of -69072698*s**3 - 186857006*s**2 wrt s?
-414436188
What is the second derivative of -49555847*a**5 - 48412068*a?
-991116940*a**3
Find the third derivative of 15440266*l*v**3 - 813*l*v**2 - 3*l + 19*v**3 - 45983*v**2 - 2*v wrt v.
92641596*l + 114
What is the second derivative of d**3*u**2 + 785*d**3*u - 36*d*u - 69840248*u**2 wrt u?
2*d**3 - 139680496
What is the second derivative of k*w**3 - 2*k*w**2 - k*w + 83278520*k - 13389592*w**3 + 2*w**2 wrt w?
6*k*w - 4*k - 80337552*w + 4
Find the third derivative of 2370*i**3*q + 5325*i**3 + 1440*i**2*q + 2*i**2 - 14*i*q - 2*i - 287*q + 1 wrt i.
14220*q + 31950
What is the second derivative of -49153*b**2*i**2 + 2724*b**2*p + 15116*b + 15850*i**2*p + p wrt b?
-98306*i**2 + 5448*p
Find the first derivative of -6*v**4 + 2755743*v**2 - 54629694 wrt v.
-24*v**3 + 5511486*v
What is the second derivative of 1491*c**4 - 128784*c**2 - 291993201*c?
17892*c**2 - 257568
Differentiate 8772742*c*y + 5772659*c with respect to y.
8772742*c
Find the third derivative of 38*h**2*p**5 + 664*h**2*p**2 + 707*h*p**3 + 9*p**3 + 3107*p**2 wrt p.
2280*h**2*p**2 + 4242*h + 54
What is the second derivative of 45428320*a**2 + a - 2876271?
90856640
Find the first derivative of 86*l**3*p - 7586034*l**3 - 217017*l**2*p wrt p.
86*l**3 - 217017*l**2
What is the second derivative of -195097723*o**2*v**2 - 160*o*v**2 - 17*o*v + o + 2*v**2 - 61*v wrt o?
-390195446*v**2
What is the third derivative of 31803*h**5 + h**4 + 54*h**3 - 27562099*h**2?
1908180*h**2 + 24*h + 324
Find the first derivative of 18749*m**4 - 5421*m**3 + 778463926.
74996*m**3 - 16263*m**2
Differentiate -159*f*n**3 - 16*f*n - 25643*f - 5*n**2 + 6*n - 18 with respect to n.
-477*f*n**2 - 16*f - 10*n + 6
Find the second derivative of 3*l**5 + 23919*l**3 - 5*l**2 - 615*l + 3415.
60*l**3 + 143514*l - 10
What is the second derivative of -6506282*x**4 - 800*x - 176083 wrt x?
-78075384*x**2
Find the first derivative of -272192221*j**3 - 132511677.
-816576663*j**2
Differentiate 28146*h**2 + 1573*h + 158537022 wrt h.
56292*h + 1573
Find the second derivative of a**3*c + 4999*a**3 - 75*a**2*c + 28*a**2 + 199226904*a*c + 4*a wrt a.
6*a*c + 29994*a - 150*c + 56
What is the second derivative of 226*c*o**2*p**2 - 9900*c*o**2*p - 8*c*p**2 - 26*c*p - 1411*o**2*p**2 wrt p?
452*c*o**2 - 16*c - 2822*o**2
What is the third derivative of -225317279*b**5 - 150930840*b**2 wrt b?
-13519036740*b**2
Find the second derivative of -60962*a**5 - 10*a**4 + 2*a - 13864068 wrt a.
-1219240*a**3 - 120*a**2
What is the third derivative of -110559218*g**2*j**3 + 422589*g**2*j**2 + 46*g*j**2 wrt j?
-663355308*g**2
Find the second derivative of 933461584*n**5 - 2059*n - 4609.
18669231680*n**3
What is the third derivative of -36283523*j**3*t - 14*j**2 + 4437*j*t + 3*t + 6 wrt j?
-217701138*t
Find the third derivative of 21414675*p**3 - 4457*p**2 - 2344.
128488050
Find the third derivative of -381*f**6 - 432*f**5 - f**3 + f**2 + 7881*f + 58.
-45720*f**3 - 25920*f**2 - 6
Differentiate 7681134*x**3 - 8161502.
23043402*x**2
Find the second derivative of 20569408*o**2 - 18*o + 1527780 wrt o.
41138816
Find the third derivative of 438276778*p**4 - 102*p**2 + 925895.
10518642672*p
What is the third derivative of -20910624*a**5 + 2*a**2 + 30938536*a wrt a?
-1254637440*a**2
Find the second derivative of 1322308517*u**3 - 806800169*u wrt u.
7933851102*u
What is the second derivative of 54399091*t**2 + 50408166*t?
108798182
Find the third derivative of -46*g**5 + 382395*g**3 - 136686707*g**2 wrt g.
-2760*g**2 + 2294370
What is the third derivative of -72342683*f**3*p**2 + 21*f**2*p**2 - 8*f**2*p - 2*f**2 + 47 wrt f?
-434056098*p**2
What is the third derivative of 122*t*v**4 + 26*t + 269622*v**4 + 2841369*v**2 wrt v?
2928*t*v + 6470928*v
What is the second derivative of 1039081857*c**2*o**2 + 2*c**2*o + 105*c**2 - 147*c*o - 3*c - o - 21 wrt o?
2078163714*c**2
What is the third derivative of -33*s**5 + 80759*s**3 + 155340677*s**2 wrt s?
-1980*s**2 + 484554
Differentiate 17397272*m**2*z - 20437961*z wrt m.
34794544*m*z
Find the second derivative of 13112*a**3 + 495*a**2 - 155*a + 361287.
78672*a + 990
What is the first derivative of -3799*q**4 + 194*q - 11322346?
-15196*q**3 + 194
Find the second derivative of -1660*l**3 - 108179*l**2 - 1730796*l - 14 wrt l.
-9960*l - 216358
Find the second derivative of -l*n**2*t**2 + 7639039*l*n**2 - 3*l*n*t**2 + 2*l*n - 145593*l*t wrt n.
-2*l*t**2 + 15278078*l
Find the second derivative of -3984100*k*x**2 - 1561*k*x - 2*k - x - 1 wrt x.
-7968200*k
Find the third derivative of 3*p**5 + 19285*p**4 - 370*p**3 + 27*p**2 - 4241768.
180*p**2 + 462840*p - 2220
Differentiate 6208128*u**3 + 20240435.
18624384*u**2
Find the third derivative of -28672023*g**4 - 13140102*g**2 wrt g.
-688128552*g
Differentiate 5288139*y**2 - 7863492 with respect to y.
10576278*y
Differentiate -3*d**2*h + d**2 - 57476*d*h + 6333477 with respect to h.
-3*d**2 - 57476*d
What is the third derivative of -10269184*v**4 + 78084117*v**2?
-246460416*v
Find the second derivative of 19509334*y**4 - 84540962*y.
234112008*y**2
What is the first derivative of -55777*g*i*q**3 + 134*g*i*q - 5*i - 19554*q**3 - 12 wrt g?
-55777*i*q**3 + 134*i*q
Find the third derivative of 3*o**3*t**4 - 13*o**3*t + 73*o**2 + 924*o - 99405710*t**4 + 11*t**2 wrt t.
72*o**3*t - 2385737040*t
Find the second derivative of 3797184*h**3 - 3*h + 498997.
22783104*h
Find the second derivative of -2*s*t**3 - 3767*s*t**2 + 49*s*t + 30689*s + 2768*t**2 + 8*t wrt t.
-12*s*t - 7534*s + 5536
What is the second derivative of -589*h**4 + 51830*h**2 + 78113940*h wrt h?
-7068*h**2 + 103660
What is the third derivative of -51504438*n**3 - 29372814*n**2 wrt n?
-309026628
Differentiate -2*q**3 + 290325*q**2 - 7*q - 37551452 with respect to q.
-6*q**2 + 580650*q - 7
Find the second derivative of -35667766*i**2 - 26503172*i.
-71335532
What is the third derivative of -11*q*y**4 - 46*q*y**3 - 552*q*y**2 + 6221*q - 162*y**4 - 5*y**3 wrt y?
-264*q*y - 276*q - 3888*y - 30
Find the first derivative of -u**2 - 30381369*u + 80514033 wrt u.
-2*u - 30381369
What is the second derivative of -1517*s**2*t**2*u**2 + 1914*s**2*t*u + 2*s**2 + 409*s*t**2 - 45023*t**2*u**2 + 9*t**2*u wrt u?
-3034*s**2*t**2 - 90046*t**2
Find the second derivative of -829692277*n**4 - 54807591*n + 3 wrt n.
-9956307324*n**2
Find the second derivative of 1698626*b*l**3 - 4*b*l + 2*b + 2926613*l wrt l.
10191756*b*l
Differentiate -229064*u**3 - 110*u**2*v**2 - 14042897*v**2 + 2*v with respect to u.
-687192*u**2 - 220*u*v**2
What is the second derivative of -81*i**2*k**3 + i**2*k + i*k**3 + 12284*i*k**2 + 16592223*i*k wrt k?
-486*i**2*k + 6*i*k + 24568*i
What is the first derivative of 24791*j*n**2*y**2 - 1569*j*n**2 + 154*n**2*y**2 + 5*n - 2358*y**2 wrt j?
24791*n**2*y**2 - 1569*n**2
Find the second derivative of -17968*a**3 - 258*a**2 - 17870001*a + 1.
-107808*a - 516
What is the third derivative of 211894162*m**5 + 2*m**3 - m**2 - 13*m + 1616249 wrt m?
12713649720*m**2 + 12
Find the third derivative of -627017*k**3*r + k**2 + 242*k*r + 1667 wrt k.
-3762102*r
Find the first derivative of 353*r**3 + r**2 + 49160*r - 804407638.
1059*r**2 + 2*r + 49160
What is the second derivative of -33*h**3*s**2 - 29*h**3*s + h**2*s**2 - 42*h**2*s - h**2 + 412*h*s**2 + 772*h - 13*s**2 + 2*s wrt s?
-66*h**3 + 2*h**2 + 824*h - 26
Differentiate 3*i**4*z**2 + 20111389*i**2*z**2 + 2*z**2 + 12*z + 325933 wrt i.
12*i**3*z**2 + 40222778*i*z**2
Differentiate -j*l*m**2 + 35469*j*l*m + 9873*j*m - 4*j + 9*l*m + 176*m**2 with respect to l.
-j*m**2 + 35469*j*m + 9*m
Find the second derivative of -21410050*b**3 - 2*b**2 + 4769969*b - 13 wrt b.
-128460300*b - 4
What is the second derivative of 1252652197*x**2 + 772647866*x?
2505304394
What is the first derivative of 516*c*s - 17861589*c + 21*s**4 - 320*s**2 wrt s?
516*c + 84*s**3 - 640*s
Find the third derivative of 4*i**4 - 22708*i**3 - 11264717*i | {
"pile_set_name": "DM Mathematics"
} |
-o*z = 2*c - 18, -z + 4 = -0 for c.
-1
Suppose 52 = 2*m + 8. Solve o = -3*f - 9 - 4, m = -5*f - 2*o for f.
-4
Let x be 50/(-4)*(0 + -2). Suppose -2*i = -y - 6, -2*y + 7*y + i - x = 0. Solve -y*f + 11 - 3 = -2*s, -4*f - s = -20 for f.
4
Suppose -10*z + 31 = -9. Solve 0 = -4*c + 3*s + 25, -s + 17 = c + z*c for c.
4
Let a be (-2)/(1*(-4 + 3)). Solve -2*j - a = 0, -8 = 4*g - 4*j + 8 for g.
-5
Let q(h) = -h**2 + 7*h + 13. Let g be q(8). Solve 3*m = r + 3, 0 = 2*m + g*r - 0 - 2 for m.
1
Suppose -2*t - 11 = -3*s, -5*s + s - 2 = -t. Let d be (-2)/5 - (-56)/t. Let i be ((-2)/d)/(4/24). Solve 0 = -2*l + 4, -4*z + i*z - 5*l = 0 for z.
-5
Suppose -2*f + 7 = 3. Solve -3*o - f*r + 2 = 0, 2*o - o - 6 = 2*r for o.
2
Suppose -4*x + w = -190 - 447, 2*x - 329 = -3*w. Suppose -2*o = -4*p - 64, -5*o - 3*p - 2*p = -x. Solve 4*g = -4*c + o, 2*g + 10 + 2 = 5*c for g.
4
Let o be -2 - ((-11)/1 - 0). Let h = 21 - o. Let s be (5/2)/(6/h). Solve -3*j = -s*l - 12, -4*l - l + 16 = 4*j for l.
0
Let z(x) = -x**2 + 2*x**3 - 3*x**3 - 4*x**3 + 2*x**3. Let l be z(-1). Solve 0 = 4*o + 5*v - 28, l*v - 16 = -5*o + 2 for o.
2
Let p be (-4)/(-14) - ((-19)/7 + 3). Solve 2*s = 3*h - 4, -2*h - 3*s + 4 + 3 = p for h.
2
Suppose 8 + 7 = 5*i. Let k = 37 + -35. Solve -4*a = -5*g - 21, -i*g + k*a - 8 = 5 for g.
-5
Let v = -2 + 2. Let p = v - -1. Let h(g) = 5*g**3 - 2*g + 1. Let w be h(p). Solve -2*c = z + w, 2*z + 8 = -3*c + 3 for c.
-3
Let b(q) = q**2 + q + 1. Suppose 0*p = -w - 2*p + 8, 0 = -2*w - 5*p + 21. Let n be b(w). Solve j - 5 = -5*g, j + n*g = g + 2 for j.
0
Let f be (-4)/(-26) + 1030/65. Suppose 3*t - 12 = 2*s, -t - 3*t + 2*s = -f. Suppose -t*n + 0*n + 12 = 0. Solve 3*a - n*b = -8*b - 29, 5*a - 5*b - 5 = 0 for a.
-3
Suppose 36 = -4*v + 56. Solve -6 = v*y + n - 3*n, -y + 3 = n for y.
0
Suppose 5*s - 9 = 6. Suppose -3*r = -8*r + 35. Solve -3*y - 4*h = -r*h + 3, -s*y + h = -1 for y.
1
Suppose 3*z - z - 62 = 0. Let v = -15 + z. Solve 0*i - 4 = 4*i + 4*q, 4*q = 2*i - v for i.
2
Let o be 10/35 - 267/(-21). Solve -3*j + 5*b = 18, -4*b + o = -j - 0*b for j.
-1
Let x = -9 + 14. Suppose x*p = 6*p - 4. Solve -23 = -3*c + 4*s, -s = p*c + s - 16 for c.
5
Let o(c) be the third derivative of -c**4/24 + 5*c**3/3 + 8*c**2. Let y be o(7). Solve -v - i - 6 = 3*v, -y*v + 4*i = -5 for v.
-1
Let z = 20 - 14. Suppose -1 = -4*n - 4*p + 7, -2*p = -4*n - 16. Let v be (57/z)/((-1)/n). Solve 0 = -5*m + f + 10 + v, -4*m + 12 = 2*f for m.
5
Let z = 32 + -30. Solve 0 = -3*l - i + 14, -z + 0 = -3*l + 5*i for l.
4
Suppose 0 = -6*x - x + 28. Solve 2*j = x*s + 4, s = -0*s + 4*j + 13 for s.
-3
Let k be ((-8)/6)/((-2)/6). Suppose -2*y + 7*y - 24 = c, -2*y = 3*c - 13. Let l = c + 1. Solve 7*j = l*j + 10, -k*o = -j - 18 for o.
5
Let p = 0 - -2. Let q(b) = -b**2 + 5*b - 4. Let w be q(3). Suppose 0 = p*v + 3*k - 1 - w, 0 = 3*v + 2*k - 2. Solve -5*d + d - n + 19 = v, -3*d = 2*n - 18 for d.
4
Let c = -18 - -26. Solve 5*x = 10, 3*b = -2*x + c + 11 for b.
5
Let f = 0 - -14. Solve 4*o + f = -5*h - 26, 0 = 5*o + 25 for h.
-4
Suppose -c - c = -10. Suppose -c*q = -0*q + 35. Let m = 14 + q. Solve -5*k - 3*i = -11, 5*i - 19 + m = -2*k for k.
1
Let t be (-6)/9 - -2*(-14)/(-6). Solve -w - 4*b = 17 - 1, -3*w - b = t for w.
0
Let b = 15 + -10. Suppose -4 = -v + b. Let f(g) = -g**3 - 8*g**2 - 2*g - 11. Let n be f(-8). Solve 0 = 4*c - 5*l + v, 2*c + 5*l - n = -2 for c.
-1
Let o(n) = 2*n - 4. Let v be o(7). Solve -v = -4*s + 3*u + 7, -s + 9 = 4*u for s.
5
Suppose -5*c + 20 = -b - 2*b, 5*b = -3*c - 22. Let j(i) = -i**2 - 5*i + 2. Let d be j(b). Solve g = -d*u + 2, -5*u - 2*g + 7 = -0*u for u.
3
Let a(o) = 2*o**2 - 7*o + 2. Let p(t) = -3*t**2 + 8*t - 2. Let s(x) = 4*a(x) + 3*p(x). Let f be s(-4). Solve 0 = -4*q - f*m + 3*m - 3, -5*q = 2*m + 20 for q.
-2
Suppose -f - 3 = 5*d - 13, 3*f + 3*d = 18. Solve 0 = 2*h - 7*h + 25, x + 2*h = f for x.
-5
Let g = 11 + -5. Solve -z + g = -3*z - 4*u, 2*z + 5*u = -6 for z.
-3
Let m(q) = q**2 + 7*q - 8. Let b be 20/6*12/(-5). Let i be m(b). Solve i = -k + 2*s - 5, 0*s + 8 = -2*k + 3*s for k.
-1
Let q(a) = -a - 4. Let o be q(-6). Suppose 4*b + t = -23, 0*b = -2*b - 2*t - 10. Let r = -1 - b. Solve r*w + 9 = -o*j, -18 = w - 0*j - 5*j for w.
-3
Let p(n) = -n**2 - 13*n. Let h be p(-13). Let o be (h - 0) + 3 + 2. Solve -o*v - 20 = 4*z, 4*z - 3*v = -0*z + 12 for z.
0
Suppose 4*s - 6 = 2. Suppose -f - s*f + 6 = 0. Solve -n + 8 = -4*i, f*i - 4*i = 4*n - 14 for i.
-1
Let q be (-3 + (3 - 1) - -15) + 0. Solve -2*x + 4*f + 6 + q = 0, 4*x = -2*f for x.
2
Suppose 0 = -12*q + 19*q - 56. Suppose -4*d + 24 = u, -u - 1 + 0 = -d. Solve 2*k = -3*g + q, 4*g = k + 1 - d for g.
0
Suppose 0 = -3*g + 23 + 4. Let f = 9 - g. Solve 3*t - 4*k - 10 = 0, -22 = t + 5*k - f for t.
-2
Let v = 86 + -59. Suppose 0 = -5*g + 3*s + v, -3*s = 5*g - g. Solve -2*y + 6*y - 19 = g*j, 7 = y - 3*j for y.
4
Let o(d) = -d + 5. Let l be o(2). Solve -w = 5*n - 10 - 6, l*n - 24 = 3*w for n.
4
Let a be (-4)/30*-27*5. Solve -3*j - 1 = -5*q + 3, -3*q = 5*j + a for q.
-1
Suppose 0 = -7*m + 6*m. Solve -4*t - 4*u = m, 2*u + 27 + 1 = 5*t for t.
4
Let j(p) = -3*p**3 - p**2 - p. Let b be j(-1). Suppose 0 = 16*z - 20*z + 20. Solve -20 = z*w - 2*v, -3*w + b = v + 4 for w.
-2
Let q be 0 - (1 + -1 + -2). Suppose -w = -2 - 1, -q*w = 2*k - 14. Solve -2*v = 4*j + 14, 11 = -k*v - 9 for j.
-1
Let c be 8/32 - (-33)/12. Solve c*z = -4*g + 2*g + 18, -3*g = -2*z - 1 for z.
4
Let c = -13 - -20. Let d = -4 + c. Solve -4*l - 32 = 4*f, -d*f - f = -3*l + 11 for f.
-5
Let b(h) = -h**3 - 3*h**2 - 3*h + 2. Let g be b(-3). Let o be g/2 + 3/(-6). Solve -5 = -o*l - 6*d + 4*d, 4*l = -5*d + 21 for l.
-1
Let u be 3 - 0 - (14 + -13). Suppose u*y - 12 = -a, 0*a + 4*a = 3*y - 7. Solve -20 = -5*i - x, 0*i - y*i + 5 = 4*x for i.
5
Let l = 11 - 9. Let r be l/(-7)*(7 + -14). Solve -8 = n + r*x, -2*n = -4*x - 25 + 9 for n.
0
Let i(g) = -g**2 - 11*g - 3. Let n be i(-9). Solve -5*x + 5*b = -n, -x + 6 = -0*b - 2*b for x.
0
Let v = 35 + -31. Solve 2*z + 3 = k, -z - v = 3*k + 1 for z.
-2
Let z be ((-9)/(-6))/(1/(-6)). Let f = 9 + z. Solve 4*q - 3*j + 9 - 1 = f, 0 = q - 5*j - 15 for q.
-5
Let d(j) = -j**3 + 7*j**2 - 6*j + 4. Let y be d(6). Solve w = 2*n + 3*n - 2, w + n = y for w.
3
Suppose -3*m - 23 = -5. Let g be 30/9 - (-8)/m. Solve 3*l + s = 8, 20 = 2*s + g*s for l.
1
Suppose -l + 5*l = -2*b + 50, 59 = 4*l - b. Solve -2*c = -s - 11, -2*c = -5*c - s + l for c.
5
Let h = -2 - -14. Solve 0 = v + 4*k + 18, -3*v = 4*k + h + 10 for v.
-2
Let t(y) = y**2 - 22*y + 77. Let d be t(18). Suppose 2*h = -z + 4, -z + 12 = 4*h - 0*h. Solve 0 = 5*s + d*p, -3*s = -0*s - h*p - 28 for s.
4
Let v(f) = -f**3 - 5*f**2 + 9*f + 21. Let k be v(-6). Solve 3*t - 19 = 2*x - x, -t - 7 = k*x for x.
-4
Let r(n) = -n**3 + 5*n**2 + 6*n + 7. Let t be r(6). Solve t = 5*a - 4*l, 6 = 2*a + 2*a - 3*l for a.
3
Suppose -3*q - 2*t + 22 = 0, 14 = 2*q + 2*t - t. Let b be (-4 + q - -5) + 0. Solve n + b = o, 3*n = 2*n - 3*o + 9 for n.
-3
Suppose h - 20 = -3*h. Suppose h*y = 10*y. Solve 3*k + 3*b = 0, -k - 15 = -y*k - 4*b for k.
-3
Suppose -5*h + 20 = -5, v + h - 5 = 0. Suppose v = u - 3. Suppose l - 12 = -u*l. Solve -l*g + 18 = 5*p - 12, -5*g = -p - 22 for g.
5
Suppose -c + 5*y = 12, 4*y = -3*c + 47 - 7. Let l be (-6)/4*c/6. Let f be (2/6)/(l/(-18)). Solve -5*w = -f*h + 15, 2*h - w = -0*h + 3 for h.
0
Let m = 1 - -5. Solve -m*o = -2*w - o - 7, 5*w - 4*o = -9 for w.
-1
Let f = -86 + 91. Solve 5*o + 35 = f*w, 5*o - 4*w = -18 - 12 for o.
-2
Let l be (-24)/156 - 353/(-13). Solve 0 = 5*g - 3*q - l, 4*g + q - 2 = 2*g for g.
3
Let x = 45 - 38. Solve 2*o - 2 = 2*t, 0 = t + 3*o - 2*o + x for t.
-4
Suppose 2*b - 5*b = -9. Let u be 1/(-3*b/(-63)). Suppose u*k - 28 = 3*k. Solve k*d - 4*d + v = 13, -2*d - 2*v = -14 for d.
3
Suppose 0*p - 4*p - 5*x = 7, 5*x - 20 = 5*p. Let b(z) = 2*z**2 + 5*z + 3. Let c be b(p). Solve 0 = -0*i + 2*i - 2*r + c, -5*i = -2*r + 6 for i.
0
Let y(f) = f**2 - 1. Let s(o) = -o**3 + 5*o**2 + 6*o - 2. Let x be s(6). Let n be y(x). Solve -3*t = 4*v + 9, t + 1 = -n*v - 2 for v.
0
Let m = -7 + 11. Solve 3*y + 8 + 7 = -m*n, 4*y + 5*n = -20 for y.
-5
Let n be 34/14 + (-12)/28. Suppose 4 = -n*u - 4*c, 4*u + 0*u - 4*c = 4. Solve -3*a + 4*x + 31 = u, 2*x = -a - 0*a - 3 for a.
5
Let i be 7 - (-2 + 2)/(-2). Suppose 4*l = 9*l + 20. Let m be (l - | {
"pile_set_name": "DM Mathematics"
} |
z + 3 = -n. Does 7 divide x(n)?
True
Let f(x) = 3*x**3 - 45*x**2 + 19*x - 149. Is f(15) a multiple of 8?
True
Is 6 a factor of (12/(-7))/((-46)/2737)?
True
Let v(i) = -1 - 3 + 11 + 57*i**3 - 11 + 3. Let a = 3 + -2. Is 15 a factor of v(a)?
False
Suppose 8*p - 7*p - 2 = 0. Suppose -4*m + 3*i = -363, i + 3*i - 154 = -p*m. Is m a multiple of 13?
False
Suppose -53106 = -12*y - 14514. Is 48 a factor of y?
True
Suppose 3*g = -l + 8*g + 57, 4*g = 2*l - 90. Does 17 divide l?
False
Suppose 4*t - 3*b = 957, -6*b + 15 = -3*b. Does 27 divide t?
True
Let c(o) be the first derivative of o**2/2 + o + 6. Let a be c(4). Suppose -3*u = a*i - 2*u - 159, 5*i - u - 161 = 0. Is i a multiple of 8?
True
Let w = 52 + -60. Let q = 64 - w. Does 8 divide q?
True
Suppose 0*s = -2*s - 16. Let z be s/(-20) + 568/5. Suppose 0 = -3*d + 5*d - z. Is d a multiple of 19?
True
Suppose 51*m - 10*m - 61131 = 0. Is m a multiple of 96?
False
Let q = 669 + -444. Is q a multiple of 15?
True
Let s(i) = 0 - i - 2 + 2*i**2 + 5*i. Let c = -80 + 76. Does 14 divide s(c)?
True
Let z be -13 + (-4 - 1/(-1)). Does 19 divide (52/(-3))/(z/24)?
False
Let j = 730 - -830. Is j a multiple of 78?
True
Suppose z - 4 + 1 = 0. Suppose 0 = -6*u + z*u + 126. Is 14 a factor of u?
True
Suppose 0 = 6*a - 4*a - f - 2, 4*a - f = 8. Suppose a*q + 4*t = q + 166, -4*t = -5*q + 429. Is 24 a factor of q?
False
Suppose 0 = 4*c - 3*c - 2, 2*c = -5*r - 6. Let n(v) = 2*v**2 + 2*v. Is n(r) a multiple of 3?
False
Suppose -3*q + 6 = 0, q - 170 = n - 3*n. Suppose 2*r - 5*j = 70, 0 = 4*r - j + 5*j - n. Does 25 divide r?
True
Let m(l) = -9*l**3 + 2*l**2 + 2*l**2 + 5*l**2 + 10 + 8*l**3. Let x be (-61)/(-7) - 2/(-7). Is m(x) a multiple of 3?
False
Let q(p) = -p**2 + 10*p - 7. Let b = -51 + 55. Does 17 divide q(b)?
True
Let s be (-10)/(-45) + 388/36. Suppose 0 = s*j - 12*j + 29. Does 4 divide j?
False
Suppose w = -5*y - 29, 3*w = 4*y + 8 - 0. Let i(q) = -44*q - 2. Is 52 a factor of i(y)?
False
Let w(p) = -2*p + 8. Suppose -12 = 3*j + 3*k + 3, 3*k + 3 = -j. Let u be w(j). Suppose 3*c - 20 = f, -u = -0*f + 4*f. Does 2 divide c?
False
Let o(r) = 3*r**3 + r + 1. Let d be o(2). Suppose -d - 27 = -y. Is 19 a factor of y?
False
Let j = 7 + -6. Let f be (-1 + j)/(-4 + 3). Suppose 36 = 2*s - f*s. Does 12 divide s?
False
Let f(o) be the first derivative of -o**2/2 - 9*o - 5. Let y be f(-9). Suppose y*m = -m + 23. Is m a multiple of 23?
True
Let s(w) = w**3 - 4*w**2 + 6*w - 6. Let g be 7 - (-1 - 3 - -7). Is s(g) a multiple of 8?
False
Suppose -b = 2*b + s - 1, 5*s = -25. Suppose 0 = 6*t - t - 5*l - 135, 0 = -b*t + 4*l + 44. Is 8 a factor of t?
True
Let r = 22 + -19. Suppose r*o = 5 - 11. Let m(w) = -w**3 - w**2 - w + 2. Is m(o) even?
True
Suppose -13 = 3*q - 5*x - 75, -3*x + 54 = 2*q. Let t = 51 - q. Is (t/2)/((-7)/(-28)) a multiple of 9?
True
Suppose -15*l + 1387 = 3*m - 13*l, 4*m - l = 1831. Is 19 a factor of m?
False
Suppose -14*d + 10*d - 1596 = 0. Let t = d - -586. Is 17 a factor of t?
True
Suppose 0 = 4*s, 2*h = -0*s - 4*s - 820. Let w be h/(-18) - 4/(-18). Suppose -5*g + w + 2 = 0. Does 5 divide g?
True
Is 12 a factor of 21/(-2)*(-3072)/48?
True
Does 4 divide ((-432)/30)/((16/(-20))/2)?
True
Let u(w) = -8*w**3 - 23*w**2 - 4*w + 29. Let z(v) = 3*v**3 + 8*v**2 + v - 10. Let i(a) = 4*u(a) + 11*z(a). Does 6 divide i(6)?
True
Suppose -d + 5*h = -202, -5*d + 944 = -3*h - 0*h. Suppose -5*s - 3*f + 206 = 0, 4*s = 3*f + 2*f + d. Is 20 a factor of 9/(-2 + s/20)?
True
Suppose 4 = l - 1, g - 4*l - 50 = 0. Suppose -3*p + 7 = -2. Suppose 5*r - g = -4*k + 207, -p*k + 209 = 4*r. Is k a multiple of 15?
False
Let y be (-17)/(4/(-4 - -16)). Let r = y + 133. Does 19 divide r?
False
Let a(g) = g**2 + 5*g - 1. Let q be a(-6). Suppose 329 = q*i - 546. Is i a multiple of 35?
True
Let i be -2 + ((-6)/(-1) - 2). Suppose 0 = i*x + 2 - 14. Is x a multiple of 4?
False
Let k = 115 + -61. Let w = -110 + 87. Let a = w + k. Does 8 divide a?
False
Suppose w + 24 = -3*w. Let y = w + -8. Is (-318)/y - (-4)/14 a multiple of 23?
True
Let i(c) = 11*c**3 + 3*c**2 - 12*c + 4. Does 31 divide i(2)?
False
Suppose -6*i + 1053 = 7*i. Is i a multiple of 7?
False
Let c(b) = b**2 + 5*b - 1. Let m be c(-6). Suppose m*x = -5*n - 30, -5*x - 18 - 4 = 3*n. Is 12 a factor of 224/6 - n/(-12)?
False
Let f be (2 + 0 + -2)/2. Suppose -2*u + 5*a = -f*u - 57, 5*u - 96 = -3*a. Is u a multiple of 13?
False
Suppose 4 = -f + 6. Does 3 divide (-8575)/(-315) - (4/9)/f?
True
Suppose 11*c + 897 = 3207. Is c a multiple of 21?
True
Suppose -12*a - 565 = -1885. Does 11 divide a?
True
Suppose -5*v = q - 11376, -q - 9095 = -4*v + 4*q. Does 35 divide v?
True
Let o(t) = 271*t + 68. Is 19 a factor of o(13)?
True
Suppose 0 = 12*g - 3218 + 998. Let b = -113 + g. Is b a multiple of 12?
True
Let g = -536 - -2834. Is g a multiple of 60?
False
Does 3 divide (-27)/(((-1)/(-1))/(-3))?
True
Let s = 131 - -198. Suppose -2*t + s = 5*t. Is t a multiple of 5?
False
Let y = -90 - -86. Let r = 101 - y. Is 21 a factor of r?
True
Suppose -73440 = -75*w + 39*w. Is w a multiple of 34?
True
Suppose 4*i = -2*d + 4, 4*d = 3*i - 2*i + 17. Let z be 24/(-36) - (2 - 29/3). Let l = i + z. Does 6 divide l?
True
Suppose -776 = -2*a + j, -3*j - 2*j + 1190 = 3*a. Is a a multiple of 33?
False
Let w(x) = 42*x + 13. Let h be w(6). Let o = h + -166. Does 11 divide o?
True
Let d = -9 + 9. Let l be (d - 2) + -2 + 4. Suppose -k - g + 63 = 4*k, l = 4*k + 3*g - 46. Is 13 a factor of k?
True
Let f = -3 + 8. Let k = 107 + f. Is k a multiple of 28?
True
Let o be (390/(-52))/((-6)/92). Let p = 160 - o. Is 14 a factor of p?
False
Let r = 284 + -223. Is r even?
False
Let q = -12 + 13. Let y(z) = 5 - 15*z - q + 0 + 4. Does 17 divide y(-4)?
True
Suppose 7*d + 12 = 985. Is d a multiple of 5?
False
Let w = -326 - -208. Let y = w + -44. Is y/(-5) + (-6)/(-10) a multiple of 11?
True
Let b = 1132 - 175. Is b a multiple of 87?
True
Is 9 a factor of ((-21)/1)/(1/21*-1)?
True
Let h(l) = 8*l**3 + 83*l**2 - 81*l**2 + 8*l**3. Let y be h(2). Suppose o = -3*o + y. Does 10 divide o?
False
Suppose u - 156 = -5*t, 2*u = -4*t + 3*t + 24. Let a = 47 - t. Suppose 71 - a = 4*o. Is o a multiple of 6?
False
Let r(k) be the first derivative of k**4/4 + 6*k**3 + 15*k**2/2 + 11*k - 5. Let f be 153/18*4/(-2). Is r(f) a multiple of 15?
True
Let f(s) = -3*s + 53. Let g be f(16). Is (-288)/(-15) - 1/g a multiple of 4?
False
Let h be 2838/48 + 2/(-16). Suppose -98 = 57*f - h*f. Is 49 a factor of f?
True
Let u(o) = -o + 7. Let s be u(7). Suppose 2*q + 251 = 4*l - 3*q, s = -2*l + 5*q + 123. Suppose -7*c = 2*j - 3*c - l, 0 = -5*j + c + 160. Is 16 a factor of j?
True
Suppose -23 = 11*o - 10*o. Let u = o - -25. Suppose 0 = u*n - 12. Is 3 a factor of n?
True
Suppose -2 = -0*n - 2*n. Let x(k) = 100*k + 1. Let s be x(n). Suppose -s - 155 = -4*o. Does 16 divide o?
True
Let j = 1446 - -885. Is j a multiple of 21?
True
Let u(b) = b + 2. Let i be u(6). Suppose -i*s = -2*s - 192. Is 9 a factor of s?
False
Let n(d) = 7*d - 14 + 2*d + 27*d**2 + 2*d - 24*d**2. Is 25 a factor of n(5)?
False
Let s be 6*(9/6 + -3). Let c = s - -66. Does 11 divide c?
False
Suppose -4*g + 3 = 3*v - 25, -3*v + 3*g + 42 = 0. Suppose 0 = 2*x - v + 6. Suppose -f = -68 + x. Is 22 a factor of f?
False
Let c(f) = -f + 21. Let o be c(0). Let q = 40 - o. Is q a multiple of 3?
False
Suppose 6*p + 13 = 5*s + 3*p, 0 = 5*s + p - 29. Suppose 4*h = -3*k + 440, s*h - 4*k - 523 = -k. Is 20 a factor of h?
False
Let o(t) = -48*t**3 - t**2. Let l be o(-1). Let c be 2*((-335)/(-10) - -1). Let i = c - l. Does 8 divide i?
False
Let d = 790 - 580. Is 14 a factor of d?
True
Let o be (-6)/4 - 1034/(-4). Let i = o - 487. Is -2 + 2 - i/5 a multiple of 23?
True
Let k = 14441 + -4411. Does 9 divide k/110 + 2/(-11)?
False
Let b(z) = z**3 + z + 1. Let l(w) = -12*w**3 - 5*w - 7. Let c(v) = v**2 + 9*v + 1. Let u be c(-9). Let s(k) = u*l(k) + 5*b(k). Is s(-2) a multiple of 10?
False
Let s(q) = 65*q - 428. Does 9 divide s(14)?
False
Let n = -564 + 335. Let l = -62 - n. Is 43 a factor of l?
False
Suppose 4*r + 885 = 3461. Does 14 divide r?
True
Let y(n) = -52*n. Let z be y(-2). Let a = -54 + z. Suppose 0 = -2*r - 0*r - 4*u + a, 0 = -3*r + u + 75. Is 11 a factor of r?
False
Suppose -30*d + 26*d = 2*o - 2824, -16 = -4*o. Is d a multiple of 14?
False
Let m be | {
"pile_set_name": "DM Mathematics"
} |
p. Suppose d(h) = 0. What is h?
2, 3, 17
Let z be 8/(-5)*(-65)/26. What is u in -10 + 25*u**z + 13*u**3 - 32*u**3 + 14*u**3 - 75*u**2 + 65*u = 0?
-2, 1/5, 1
Let 16562/9*y**3 + 32/9 - 968/3*y + 7280*y**2 = 0. What is y?
-4, 2/91
Factor -1/7*h**2 - 11/7*h + 60/7.
-(h - 4)*(h + 15)/7
Let r(m) be the second derivative of 2*m**7/63 - 16*m**6/45 + 22*m**5/15 - 8*m**4/3 + 2*m**3 - 566*m - 1. Find z such that r(z) = 0.
0, 1, 3
Let g(m) be the second derivative of -m**4/6 - 21*m**3 - 62*m**2 - 478*m. Factor g(r).
-2*(r + 1)*(r + 62)
Suppose 0 = 652*a - 676*a. Let z(t) be the second derivative of 1/30*t**4 + a + 0*t**2 + 4/15*t**3 - 6*t. Suppose z(v) = 0. Calculate v.
-4, 0
Suppose -n + 5 = 3*w, 5*n - 2 = w - 9. Suppose 17*l**w + 4*l - 7*l - l**3 - 81 - 60*l = 0. What is l?
-1, 9
Suppose -27038*r**2 - 27041*r**2 - 164*r + 54077*r**2 + 336 = 0. What is r?
-84, 2
Let b(u) be the first derivative of -u**4/6 + 18*u**3 - 729*u**2 + 137*u - 210. Let g(f) be the first derivative of b(f). Suppose g(o) = 0. Calculate o.
27
Let g(f) = -187*f**3 + 370*f**2 - 32*f - 40. Let k(b) = -2060*b**3 + 4070*b**2 - 355*b - 440. Let j(m) = 45*g(m) - 4*k(m). Factor j(y).
-5*(y - 2)*(5*y - 2)*(7*y + 2)
Factor 0 - 1/3*p**3 + 1/3*p - 2*p**2 + 2*p**4.
p*(p - 1)*(p + 1)*(6*p - 1)/3
What is m in -1/3*m**2 + 27 - 80/3*m = 0?
-81, 1
Suppose 269*d + 222*d = 982. Determine f so that -75/4*f**d - 10*f - 1 = 0.
-2/5, -2/15
Let r(l) be the first derivative of -2/5*l**2 + 1/30*l**6 + 3/20*l**4 - 19 + 4/25*l**5 - 4/15*l**3 + 0*l. Factor r(v).
v*(v - 1)*(v + 1)*(v + 2)**2/5
Let o = 108 + -106. Factor -96*s + 46*s**2 + 275 - 42*s**o + 301.
4*(s - 12)**2
Suppose 3*d + 42 = 4*r, 5*d - 5*r - 156 + 206 = 0. What is o in -37/4*o**d - 5*o**3 - 9/2*o + 0 - 1/4*o**4 = 0?
-18, -1, 0
What is t in 1230*t + t**3 - 145*t**2 - 130*t**2 - 1230*t = 0?
0, 275
Let f(d) be the first derivative of 14*d + 38 - 1/3*d**3 + 5/2*d**2. Factor f(j).
-(j - 7)*(j + 2)
Let h(r) be the first derivative of 19/30*r**5 + 3/4*r**4 + 0*r**3 + 0*r**2 + 1/36*r**6 + 0*r - 203. Solve h(f) = 0 for f.
-18, -1, 0
Let m(x) = 3*x**4 - x**3 + x - 1. Let k(p) = -40*p**4 + 4*p**3 - 36*p**2 + 130*p + 14. Let o(j) = -2*k(j) - 28*m(j). Factor o(d).
-4*d*(d - 6)*(d - 3)*(d + 4)
Let h be 59/((-9027)/(-408))*((-33)/44 + (-34)/(-16)). Let 35/3*s**2 + h*s**3 + 28/3*s + 4/3 = 0. What is s?
-2, -1, -2/11
Let p(q) = 12*q - 12. Let w(v) be the third derivative of 0*v + 0 + 0*v**3 + 1/60*v**5 + 1/24*v**4 - 15*v**2. Let i(u) = 2*p(u) - 4*w(u). Factor i(j).
-4*(j - 3)*(j - 2)
Let i(p) be the first derivative of p**7/1680 + 7*p**6/720 + p**5/40 + 2*p**3 - 139. Let o(c) be the third derivative of i(c). Suppose o(z) = 0. Calculate z.
-6, -1, 0
Suppose 0 = -l + 4, -5*b + 16*l + 22 = 14*l. Determine z so that 6*z + 5*z**3 - b*z**3 - 3*z - z + 3*z**3 + 4*z**2 = 0.
-1, 0
Let q be -9*(0 + 2/(-6)). Suppose 5*k - 5*z = 3*k - 1, -z - 1 = -k. Suppose 3*p**2 + 209*p - 5*p**2 - 208*p + 2*p**3 - 3*p**q + k = 0. Calculate p.
-2, -1, 1
Let b(o) be the second derivative of 137*o**5/70 + 365*o**4/7 + 289*o**3/3 - 30*o**2/7 + 1467*o. Suppose b(l) = 0. Calculate l.
-15, -1, 2/137
Let l(q) be the second derivative of -1/4*q**5 + 1 + 0*q**2 - 750*q**3 + 31*q + 25*q**4. Factor l(j).
-5*j*(j - 30)**2
Let j be (((-1)/(-5))/((-288)/(-1080)))/((-18)/(-48)). Factor 5*s + 16/3 - 1/3*s**j.
-(s - 16)*(s + 1)/3
Let a(j) = j**2 + 35*j + 26. Let w(r) = 2*r**2 + 37*r + 25. Let z = 28 + -33. Let b(h) = z*a(h) + 4*w(h). Factor b(c).
3*(c - 10)*(c + 1)
Factor 4/5*j**4 - 24/5*j**2 + 32/5 - 16/5*j + 4/5*j**3.
4*(j - 2)*(j - 1)*(j + 2)**2/5
Let q(u) = 27905*u + 195337. Let y be q(-7). Factor -1/4*p**2 + 1/4*p**4 - y*p + 0 + 2*p**3.
p*(p - 1)*(p + 1)*(p + 8)/4
Let u(a) be the third derivative of 1/3*a**3 - 1/240*a**5 + 0 + 27*a**2 + 0*a + 7/96*a**4. Find c such that u(c) = 0.
-1, 8
Let s(c) = 72*c - 270. Let k be s(4). Find q such that 626 - 451 + 19*q**4 - 44*q**3 + 564*q**2 - k*q**4 - 2525*q + 765*q + 1425 = 0.
2, 20
Let b(x) be the second derivative of x**4/12 - 43*x**3/6 + 176*x**2 - 2582*x. Suppose b(f) = 0. What is f?
11, 32
Suppose -48*z = -50*z + 32. Suppose 4*l - 3*p + p = z, -l = -p - 5. Factor 3*b**2 - 3*b**3 + 0*b - l*b + b**2 - 18 + 4*b**3.
(b - 2)*(b + 3)**2
Let g = -968 + 984. Let p be (3 - 1)*(-69)/(-3680)*g. Factor 3/5*n**2 - 18/5 + p*n.
3*(n - 2)*(n + 3)/5
Let -120224 - 2/13*b**2 - 272*b = 0. Calculate b.
-884
Let b = 20/1407 - -755/1876. Let v(k) be the second derivative of 18*k + 0*k**2 + 0 - b*k**4 + 5/6*k**3. What is m in v(m) = 0?
0, 1
Let g(r) = -22*r**4 - 27*r**3 + 34*r**2 + 5. Let b(k) = 4*k**4 - k**3 - 1. Let y(v) = -5*b(v) - g(v). Factor y(f).
2*f**2*(f - 1)*(f + 17)
Let c be (-2)/6 - (1029 + -1023 - 56/6). Factor 3/2*r**c + 0*r + 0 + 12*r**2.
3*r**2*(r + 8)/2
Let d be 1 - 4*((-8)/(-4) - 34). Let q = -127 + d. Let -1/2*g**3 - 15/2*g + 9/2 + 7/2*g**q = 0. Calculate g.
1, 3
Solve -7*f**2 + 4*f**2 - 40*f**2 + 2*f**5 - 20*f**2 - 17*f**2 - 92*f**3 - 10*f**4 = 0 for f.
-4, -1, 0, 10
Let u(z) be the second derivative of z**4/4 + 193*z**3 - 1161*z**2/2 + 2929*z. Factor u(g).
3*(g - 1)*(g + 387)
Suppose -17*c = -1144 + 1059. Suppose 2*i - c*o = 19, 8*o = 12*o + 12. Solve 0 - 555/4*q**4 - 6*q + 15*q**i + 225/4*q**5 + 93/2*q**3 = 0 for q.
-1/3, 0, 2/5, 2
Let l = 362419 + -362416. Factor -34/3 + 2/3*j - 2/3*j**l + 34/3*j**2.
-2*(j - 17)*(j - 1)*(j + 1)/3
Let s(f) be the second derivative of -5*f**7/28 + 21*f**6/10 + 117*f**5/40 - 14*f**4 + 9*f**3 + 3165*f. Find c, given that s(c) = 0.
-2, 0, 2/5, 1, 9
Let t(a) be the first derivative of 76/45*a**5 + 48 + 288*a**3 + 1377*a**2 + 1/27*a**6 + 31*a**4 + 2916*a. Factor t(u).
2*(u + 2)*(u + 9)**4/9
Find s such that 44*s - 1384*s**3 + 60*s**2 + 80*s + 126*s + 1386*s**3 = 0.
-25, -5, 0
Let p(s) = -4*s**3 + 20*s**2 + 124*s + 84. Let n(d) = 3*d**2 + 1. Let c(b) = 4*n(b) + p(b). Factor c(w).
-4*(w - 11)*(w + 1)*(w + 2)
Suppose 5*z - 4*p + 184 - 204 = 0, 5*p = -z - 25. Factor z + 1/3*m**4 - 1/3*m**5 + 0*m**2 + 0*m + 2/3*m**3.
-m**3*(m - 2)*(m + 1)/3
Let d = -264720 + 264722. Let -25*n**3 - 65/2*n**d + 150*n - 5/2*n**4 - 90 = 0. What is n?
-6, 1
Determine v, given that 2/3*v**3 - 488/3*v + 496/3 + 116/3*v**2 = 0.
-62, 2
Let u(y) = -y**3 + 10*y**2 + 6*y - 8. Let o be u(10). Factor 5*s**2 + 25*s - 113*s**3 + 56*s**3 + 15 + o*s**3.
-5*(s - 3)*(s + 1)**2
Solve 6 - 159*b - 38 - 39 - 21*b**2 - 32 + 19 = 0.
-7, -4/7
Let c be (-72)/(-33) + (-82)/451. Suppose 3*g = 12, -3*g + 17 = -s + c*g. Find p such that -3/5*p**2 + 0 + 0*p - 3/5*p**s = 0.
-1, 0
Let o(q) be the first derivative of q**5/80 - 3*q**4/16 + q**3 - 197*q**2/2 + 241. Let v(x) be the second derivative of o(x). Solve v(w) = 0 for w.
2, 4
Let x = 70355 + -211010/3. Solve -25/6*u**2 + 0 + 35/3*u - x*u**3 - 5/2*u**4 = 0.
-7, -1, 0, 2/3
Let k(n) be the second derivative of -n**4/3 - 10*n**3 + 68*n**2 + 8*n + 11. Factor k(a).
-4*(a - 2)*(a + 17)
Let k(q) be the first derivative of -q**4/6 + 128*q**3/9 - 1045*q**2/3 + 3388*q + 1955. Factor k(z).
-2*(z - 42)*(z - 11)**2/3
Let v(a) be the second derivative of -a - 1/9*a**4 - 5 + 0*a**3 + 6*a**2. Let v(r) = 0. What is r?
-3, 3
Let v(w) be the first derivative of -2*w**3/21 + 804*w**2/7 - 323208*w/7 - 2406. Find u, given that v(u) = 0.
402
Find i such that 340/3*i - 25*i**2 + 5/3*i**3 - 160 = 0.
3, 4, 8
Let r(g) be the first derivative of 0*g**3 + 23 - 2*g + 0*g**2 + 1/6*g**4. Let m(i) be the first derivative of r(i). Solve m(u) = 0.
0
Let k(j) be the first derivative of 8/3*j**3 + 1/3*j**4 - 63 + 32/3*j - 10*j**2. Factor k(m).
4*(m - 1)**2*(m + 8)/3
Suppose -63*n = 4*n - 6*n + 14*n. Find h, given that n + 2/3*h**4 + 6*h - 6*h**2 - 2/3*h**3 = 0.
-3, 0, 1, 3
Factor 673*x**2 + 5/3*x**3 + 67872*x - 40804/3.
(x + 202)**2*(5*x - 1)/3
Let l(b) be the third derivative of 1/3192*b**8 - 1/1995*b**7 - 5/114*b**4 + 40*b**2 + 0 + 0*b - 1/76*b**6 - 23/570*b**5 + 0*b**3. Let l(f) = 0. Calculate f.
-2, -1, 0, 5
Factor -1616 + 144*k**2 + 1208 + 307*k**3 - 150*k**3 + 260*k - 153*k**3.
4*(k - 1)*(k + 3)*(k + 34)
Let s be 2119/(-652) + 21/4. Find m, given that -8/5*m + 2/5*m**s + 8/5 = 0.
2
Let z(w) = 7*w**5 - 2*w**4 + 9*w**3 - 3*w. Let t(y) = -9*y**5 + y**4 - 10*y**3 + 4*y. Let q(o) = 3*t(o) + 4*z(o). Let q(m) = 0. Calculate m.
0, 2, 3
Let h = -79 - -81. Suppose 3*m | {
"pile_set_name": "DM Mathematics"
} |
en 11:05 PM and 1:30 AM?
145
How many minutes are there between 3:03 PM and 5:50 PM?
167
What is 508 minutes before 9:15 AM?
12:47 AM
How many minutes are there between 7:12 PM and 11:51 PM?
279
How many minutes are there between 7:43 PM and 7:27 AM?
704
How many minutes are there between 4:35 PM and 2:03 AM?
568
How many minutes are there between 11:43 PM and 7:48 AM?
485
What is 235 minutes after 5:31 PM?
9:26 PM
How many minutes are there between 1:55 AM and 8:39 AM?
404
What is 631 minutes before 10:53 AM?
12:22 AM
How many minutes are there between 2:46 AM and 2:04 PM?
678
How many minutes are there between 6:57 PM and 2:16 AM?
439
How many minutes are there between 10:58 PM and 4:30 AM?
332
What is 158 minutes after 9:27 AM?
12:05 PM
What is 38 minutes after 1:36 PM?
2:14 PM
How many minutes are there between 5:58 PM and 4:26 AM?
628
What is 292 minutes after 5:11 AM?
10:03 AM
How many minutes are there between 7:06 AM and 9:42 AM?
156
What is 127 minutes after 10:03 AM?
12:10 PM
What is 303 minutes before 10:36 AM?
5:33 AM
What is 559 minutes after 8:53 AM?
6:12 PM
What is 51 minutes after 1:40 AM?
2:31 AM
What is 203 minutes after 5:50 PM?
9:13 PM
What is 104 minutes before 11:51 AM?
10:07 AM
How many minutes are there between 6:35 AM and 1:38 PM?
423
How many minutes are there between 7:16 AM and 8:52 AM?
96
How many minutes are there between 12:36 PM and 10:23 PM?
587
How many minutes are there between 5:46 PM and 1:39 AM?
473
How many minutes are there between 12:37 AM and 5:57 AM?
320
What is 657 minutes after 6:59 PM?
5:56 AM
How many minutes are there between 4:31 AM and 2:03 PM?
572
What is 172 minutes before 11:38 PM?
8:46 PM
What is 556 minutes before 2:57 AM?
5:41 PM
What is 568 minutes after 4:51 AM?
2:19 PM
How many minutes are there between 4:07 PM and 3:27 AM?
680
What is 568 minutes before 12:29 PM?
3:01 AM
What is 553 minutes before 7:59 PM?
10:46 AM
How many minutes are there between 1:31 AM and 1:43 AM?
12
How many minutes are there between 12:25 AM and 4:40 AM?
255
How many minutes are there between 7:27 PM and 3:21 AM?
474
How many minutes are there between 8:53 PM and 8:21 AM?
688
What is 456 minutes before 1:51 AM?
6:15 PM
How many minutes are there between 2:22 AM and 11:40 AM?
558
How many minutes are there between 2:05 PM and 4:12 PM?
127
How many minutes are there between 3:36 AM and 5:17 AM?
101
How many minutes are there between 9:04 PM and 2:31 AM?
327
What is 170 minutes after 5:50 AM?
8:40 AM
What is 48 minutes after 6:35 PM?
7:23 PM
How many minutes are there between 10:23 AM and 6:01 PM?
458
What is 123 minutes after 12:08 AM?
2:11 AM
What is 609 minutes after 3:44 AM?
1:53 PM
What is 145 minutes before 6:54 PM?
4:29 PM
What is 706 minutes after 6:43 PM?
6:29 AM
How many minutes are there between 1:23 PM and 3:51 PM?
148
What is 286 minutes after 6:29 PM?
11:15 PM
How many minutes are there between 5:36 AM and 1:46 PM?
490
How many minutes are there between 3:17 AM and 3:16 PM?
719
What is 69 minutes after 11:10 PM?
12:19 AM
What is 552 minutes before 5:09 AM?
7:57 PM
What is 693 minutes after 1:32 AM?
1:05 PM
What is 589 minutes before 5:47 PM?
7:58 AM
How many minutes are there between 1:55 PM and 5:06 PM?
191
What is 283 minutes after 3:22 AM?
8:05 AM
What is 176 minutes after 7:01 PM?
9:57 PM
What is 453 minutes before 11:15 AM?
3:42 AM
How many minutes are there between 6:31 AM and 7:38 AM?
67
How many minutes are there between 11:36 PM and 5:00 AM?
324
What is 40 minutes after 2:49 AM?
3:29 AM
What is 705 minutes after 2:27 AM?
2:12 PM
How many minutes are there between 6:30 AM and 2:08 PM?
458
What is 401 minutes before 5:44 PM?
11:03 AM
How many minutes are there between 5:40 PM and 6:31 PM?
51
What is 520 minutes before 8:24 AM?
11:44 PM
What is 664 minutes after 3:44 AM?
2:48 PM
What is 209 minutes after 1:51 PM?
5:20 PM
How many minutes are there between 9:15 AM and 7:45 PM?
630
How many minutes are there between 3:26 PM and 7:17 PM?
231
What is 490 minutes after 8:41 PM?
4:51 AM
How many minutes are there between 1:34 AM and 3:03 AM?
89
How many minutes are there between 11:09 AM and 12:41 PM?
92
How many minutes are there between 3:47 AM and 5:24 AM?
97
How many minutes are there between 8:56 PM and 12:10 AM?
194
What is 266 minutes before 4:19 PM?
11:53 AM
What is 398 minutes before 7:03 AM?
12:25 AM
What is 445 minutes after 11:42 AM?
7:07 PM
What is 624 minutes after 2:13 AM?
12:37 PM
How many minutes are there between 11:55 AM and 7:23 PM?
448
How many minutes are there between 4:24 AM and 9:41 AM?
317
What is 240 minutes before 12:31 AM?
8:31 PM
What is 676 minutes after 2:08 AM?
1:24 PM
How many minutes are there between 7:00 AM and 2:54 PM?
474
What is 408 minutes after 5:07 AM?
11:55 AM
How many minutes are there between 10:26 PM and 10:51 PM?
25
What is 647 minutes after 2:06 AM?
12:53 PM
How many minutes are there between 4:20 PM and 4:31 PM?
11
How many minutes are there between 8:38 AM and 3:12 PM?
394
How many minutes are there between 8:22 AM and 2:17 PM?
355
What is 373 minutes before 3:49 AM?
9:36 PM
How many minutes are there between 6:07 PM and 4:35 AM?
628
What is 719 minutes after 11:20 AM?
11:19 PM
How many minutes are there between 9:54 AM and 4:50 PM?
416
How many minutes are there between 3:52 AM and 7:55 AM?
243
How many minutes are there between 2:35 AM and 4:51 AM?
136
How many minutes are there between 8:58 PM and 5:19 AM?
501
What is 318 minutes after 8:51 PM?
2:09 AM
What is 172 minutes before 2:44 PM?
11:52 AM
How many minutes are there between 4:50 PM and 5:30 PM?
40
How many minutes are there between 2:29 PM and 10:53 PM?
504
What is 317 minutes before 9:27 AM?
4:10 AM
How many minutes are there between 4:45 PM and 11:46 PM?
421
What is 327 minutes before 3:03 PM?
9:36 AM
How many minutes are there between 6:54 AM and 4:10 PM?
556
What is 386 minutes after 3:47 AM?
10:13 AM
What is 386 minutes after 11:19 PM?
5:45 AM
What is 10 minutes before 7:15 AM?
7:05 AM
How many minutes are there between 4:25 PM and 11:13 PM?
408
How many minutes are there between 11:30 AM and 2:41 PM?
191
What is 166 minutes before 12:19 AM?
9:33 PM
How many minutes are there between 3:42 AM and 2:09 PM?
627
How many minutes are there between 3:24 PM and 7:28 PM?
244
What is 69 minutes after 3:28 AM?
4:37 AM
What is 286 minutes after 7:08 AM?
11:54 AM
How many minutes are there between 12:19 AM and 2:34 AM?
135
What is 160 minutes after 8:56 PM?
11:36 PM
What is 572 minutes before 6:29 PM?
8:57 AM
How many minutes are there between 8:38 PM and 10:00 PM?
82
What is 103 minutes after 4:05 AM?
5:48 AM
What is 488 minutes after 5:37 PM?
1:45 AM
How many minutes are there between 6:29 PM and 5:56 AM?
687
What is 714 minutes after 7:59 AM?
7:53 PM
What is 581 minutes before 1:16 AM?
3:35 PM
How many minutes are there between 10:36 PM and 8:24 AM?
588
How many minutes are there between 8:37 PM and 6:48 AM?
611
What is 657 minutes before 2:11 AM?
3:14 PM
What is 173 minutes after 8:33 AM?
11:26 AM
What is 547 minutes before 11:38 PM?
2:31 PM
What is 274 minutes after 7:30 AM?
12:04 PM
How many minutes are there between 5:41 PM and 5:24 AM?
703
What is 139 minutes after 5:32 PM?
7:51 PM
How many minutes are there between 5:29 PM and 9:40 PM?
251
How many minutes are there between 11:38 AM and 4:41 PM?
303
How many minutes are there between 12:33 AM and 1:15 AM?
42
How many minutes are there between 2:49 PM and 6:59 PM?
250
What is 139 minutes before 3:38 AM?
1:19 AM
How many minutes are there between 4:46 AM and 5:22 AM?
36
How many minutes are there between 2:47 PM and 4:24 PM?
97
What is 418 minutes before 1:16 AM?
6:18 PM
How many minutes are there between 8:36 PM and 3:34 AM?
418
What is 691 minutes before 7:27 AM?
7:56 PM
What is 250 minutes after 1:15 PM?
5:25 PM
What is 327 minutes before 8:42 PM?
3:15 PM
What is 647 minutes before 6:51 AM?
8:04 PM
How many minutes are there between 1:54 AM and 7:48 AM?
354
How many minutes are there between 7:18 PM and 6:21 AM?
663
How many minutes are there between 7:53 AM and 3:54 PM?
481
How many minutes are there between 10:20 PM and 2:44 AM?
264
What is 517 minutes after 4:09 AM?
12:46 PM
What is 337 minutes before 2:48 PM?
9:11 AM
How many m | {
"pile_set_name": "DM Mathematics"
} |
c**2 - 120*c + 17. Give h(7).
10
Let r(q) = 2*q - 90. Determine r(14).
-62
Let z(n) = n**2 + 62*n + 726. Determine z(-32).
-234
Let v(h) = h**3 - 29*h**2 - 8*h + 132. Give v(29).
-100
Let r(h) = -h**3 + 60*h**2 - 893*h + 24799. Give r(52).
-5
Let j(c) = 2*c**2 - 71*c + 201. Give j(32).
-23
Let y(r) = -r**3 + 36*r**2 + 51*r - 1828. Determine y(36).
8
Let y(h) = -h**2 + 13*h - 246. Calculate y(6).
-204
Let b(k) = 18*k**3 + 2*k**2 - 3*k - 6. What is b(2)?
140
Let y(i) = -5*i**2 - 24*i + 6. Calculate y(-6).
-30
Let k(u) = -17*u**2 - 444*u - 39. What is k(-26)?
13
Let i(q) = -3*q**2 + 28*q + 65. What is i(-2)?
-3
Let o(l) = 2*l**3 + 165*l**2 - 80*l + 20. What is o(-83)?
-229
Let b(g) = -176*g - 3703. Determine b(-21).
-7
Let k(m) = 11*m**2 - 4*m + 28. Determine k(4).
188
Let a(u) = u**2 + 10*u + 15. Determine a(0).
15
Let m(q) = -108*q**2 + 1391*q + 185. What is m(13)?
16
Let v(w) = -64*w**3 - 5*w + 5. What is v(1)?
-64
Let g(x) = 19*x + 196. What is g(-34)?
-450
Let j(m) = -m**3 - 94*m**2 - 188*m - 357. Determine j(-92).
11
Let j(b) = b**3 - 34*b**2 - 239*b - 34. What is j(40)?
6
Let f(r) = r**2 - 17*r - 39. What is f(-19)?
645
Let v(u) = u**3 - u**2 - 29*u + 185. What is v(0)?
185
Let d(f) = f**2 - 28*f + 116. What is d(26)?
64
Let t(k) = 100*k**2 + 19*k - 20. Calculate t(1).
99
Let z(x) = 55*x - 626. What is z(16)?
254
Let i(k) = -k**3 - 8*k**2 + 85*k + 16. Calculate i(-14).
2
Let w(l) = l**3 - 10*l**2 + 24*l - 41. Calculate w(8).
23
Let i(h) = 28152*h - 28146. Determine i(1).
6
Let p(r) = -r**3 - 10*r**2 - 27*r - 120. Give p(-6).
-102
Let t(w) = w**3 + 10*w**2 + 68*w + 540. Give t(-9).
9
Let s(h) = 141*h + 482. Calculate s(-3).
59
Let q(v) = -1515*v - 40911. Give q(-27).
-6
Let h(f) = 15*f**2 - 397*f - 208. What is h(27)?
8
Let p(a) = -108*a + 2048. What is p(19)?
-4
Let m(r) = -r**3 - 2*r**2 + 8*r - 18. What is m(2)?
-18
Let r(x) = 6*x**2 - 85*x + 290. Give r(10).
40
Let p(z) = -z**2 - 48*z - 527. Determine p(-28).
33
Let w(a) = 3*a**3 + 28*a**2 - 62*a - 74. Calculate w(-11).
3
Let c(n) = 2*n**3 - 54*n**2 - 250*n + 66. Determine c(31).
4
Let t(g) = -g**2 + 29*g + 208. Determine t(35).
-2
Let j(m) = 770*m - 16185. Calculate j(21).
-15
Let f(u) = 12*u**2 - 45*u - 159. Calculate f(6).
3
Let w(i) = -i**3 + 16*i**2 - 4*i + 62. Calculate w(16).
-2
Let r(u) = -u**3 - 12*u**2 - 3*u + 15. Give r(-12).
51
Let f(m) = -153*m - 40399. Give f(-264).
-7
Let l(q) = 2*q**3 - 17*q**2 + 369*q - 2882. Calculate l(8).
6
Let g(s) = 2*s**3 - 86*s**2 + 869*s - 91. Calculate g(16).
-11
Let p(n) = 315*n - 71836. Calculate p(228).
-16
Let r(h) = -h**3 + 2*h**2 - 18*h + 93. Give r(4).
-11
Let j(n) = 45020*n + 4. Determine j(0).
4
Let v(q) = 599*q + 16168. What is v(-27)?
-5
Let q(h) = -2*h**3 + 20*h**2 + 529*h + 7. Determine q(-12).
-5
Let o(d) = d**2 - 38*d - 257. Calculate o(-6).
7
Let w(u) = -47*u - 1241. Determine w(-26).
-19
Let p(o) = 5*o**3 - 51*o**2 + 69*o - 603. What is p(10)?
-13
Let f(t) = 120*t - 5045. Determine f(42).
-5
Let q(i) = -i**3 - 23*i**2 - 36*i + 139. Determine q(-21).
13
Let q(i) = -1013*i + 12111. Give q(12).
-45
Let s(v) = -6*v + 114. What is s(21)?
-12
Let f(l) = -63*l - 1108. Give f(-15).
-163
Let b(t) = t**3 - 20*t**2 - 92*t - 56. What is b(24)?
40
Let v(m) = 126*m - 8456. What is v(67)?
-14
Let y(f) = -2*f**3 - 12*f**2 - 143*f - 1402. Calculate y(-8).
-2
Let f(s) = -s**3 - 2*s**2 - 16*s + 19. What is f(5)?
-236
Let a(b) = -2*b**2 - 57*b + 415. Give a(6).
1
Let s(z) = 205*z - 38338. Give s(187).
-3
Let p(a) = 1187*a + 47485. Determine p(-40).
5
Let o(z) = -2*z**2 - 49*z + 129. Calculate o(3).
-36
Let u(j) = 14*j + 310. Determine u(-23).
-12
Let w(b) = -2*b - 218. Give w(-8).
-202
Let p(u) = 3*u**3 - 19*u**2 - u - 27. Give p(6).
-69
Let g(t) = -t**2 + 58*t + 1442. Determine g(-19).
-21
Let m(a) = 262*a - 518. Calculate m(2).
6
Let h(i) = 996*i - 9. Calculate h(0).
-9
Let b(q) = 72*q - 245. Determine b(3).
-29
Let w(p) = -42*p + 112. Give w(-2).
196
Let n(a) = -99*a - 986. Give n(-10).
4
Let s(r) = r**2 + 2*r + 31. Give s(-5).
46
Let x(y) = 17*y**2 + 8*y - 20. Give x(2).
64
Let t(p) = p**3 + 18*p**2 + 29*p + 9. Calculate t(-16).
57
Let v(d) = -d**3 - 35*d**2 + 37*d - 78. Calculate v(-36).
-114
Let i(q) = 151*q + 2293. Give i(-15).
28
Let h(w) = 2*w**3 - 36*w**2 - 38*w - 11. Calculate h(19).
-11
Let r(z) = 108*z - 1929. Determine r(21).
339
Let i(x) = -2*x**3 + 56*x**2 - 23*x + 2335. What is i(29)?
-14
Let q(j) = 1196*j + 22729. What is q(-19)?
5
Let r(q) = q**2 + 10*q + 68. Determine r(-5).
43
Let d(m) = 3*m**3 - 299*m**2 + 1065*m - 872. Give d(96).
-8
Let t(i) = -i**3 - 25*i**2 + 206*i + 134. Calculate t(7).
8
Let i(u) = -13*u + 881. What is i(75)?
-94
Let u(c) = 843*c + 2521. Determine u(-3).
-8
Let t(n) = -n**3 + 13*n**2 - 687*n + 8088. Calculate t(12).
-12
Let o(p) = -p**2 - 2*p + 247. Calculate o(-16).
23
Let z(x) = -22*x - 677. Determine z(-31).
5
Let q(r) = -2*r**3 + 17*r**2 - 27*r + 1. Give q(5).
41
Let q(u) = 202*u - 190. Give q(1).
12
Let j(w) = -8*w**2 + 186*w - 23. Give j(26).
-595
Let h(u) = u**2 + 9*u - 145. What is h(-18)?
17
Let j(t) = -3*t**2 + 2*t + 374. Calculate j(-11).
-11
Let j(c) = -2*c**2 - 121*c + 2820. Determine j(18).
-6
Let x(v) = -v**3 - 9*v**2 + 17*v + 139. What is x(-10)?
69
Let o(v) = 728*v + 11667. What is o(-16)?
19
Let f(n) = 2*n**2 - 125*n - 146. Calculate f(64).
46
Let q(l) = l**3 + 4*l**2 + 30*l - 39. Give q(8).
969
Let t(l) = l**2 + 12*l - 293. What is t(-22)?
-73
Let x(f) = -f**2 + 4*f + 675. Give x(-27).
-162
Let o(s) = -9*s**2 + 87*s - 45. Determine o(9).
9
Let r(m) = -m**3 + 13*m**2 - m + 27. Give r(13).
14
Let p(g) = -g**3 - 11*g**2 + 37*g - 16. Give p(3).
-31
Let w(y) = -2*y**3 - 54*y**2 - 98*y + 43. Give w(-25).
-7
Let u(v) = 13*v + 246. Give u(-32).
-170
Let v(i) = 3*i**3 + 8*i**2 - 7*i + 17. What is v(-7)?
-571
Let x(m) = 2*m**2 + 453*m - 1369. What is x(3)?
8
Let m(x) = -16*x + 70. Determine m(3).
22
Let z(s) = 165*s**2 + 15*s - 14. Determine z(1).
166
Let d(m) = -86*m + 907. Give d(13).
-211
Let p(y) = y**3 - 20*y**2 + 12*y + 28. Give p(20).
268
Let f(u) = -u**3 + u**2 + 12*u - 63. Calculate f(6).
-171
Let b(g) = -g**2 - 24*g - 125. What is b(-20)?
-45
Let c(m) = -m + 32. Determine c(38).
-6
Let v(n) = n**3 + 4*n**2 - 515*n - 3015. Give v(-6).
3
Let b(k) = k**2 - 6*k - 18. Give b(7).
-11
Let b(s) = 2*s + 320. Calculate b(-156).
8
Let h(s) = -23*s - 72. Determine h(0).
-72
Let c(x) = -x**3 - 14*x**2 + 58*x + 106. Calculate c(-17).
-13
Let l(m) = -m**3 + 23*m**2 + 11*m. Determine l(23).
253
Let j(q) = -9*q**3 + 7*q**2 - 11*q + 8. Give j(1).
-5
Let b(r) = 6*r**2 - 147*r - 232. Give b(26).
2
Let w(f) = -3*f**2 + 3*f + 84. Determine w(-9).
-186
Let k(t) = -184*t. Give k(-1).
184
Let p(f) = f**3 + 21*f**2 - 313*f - 6146. Calculate p(-23).
-5
Let p(i) = i**3 - 14*i - 34. Give p(-3).
-19
Let j(x) = 5*x**2 - 6*x - 18. Give j(-6).
198
Let d(q) = 69*q - 1210. What is d(15)?
-175
Let v(o) = -o + 485. Give v(-15).
500
Let b(m) = 72*m + 4170. Give b(-57).
66
Let j(a) = 407*a - 3626. Give j(9).
37
Let j(w) = -2*w**3 + 103*w**2 - 1184*w - 204. Determine j(34).
0
Let x(q) = -665*q - 5983. What is x(-9)?
2
Let l(j) = 31*j - 1350. Determine l(43).
-17
Let i(o) = -o**2 + 4*o + 571. What is i(26)?
-1
Let m(p) = -10*p + 302. Give m(26).
42
Let r(p) = 2*p**2 - 130*p - 765. Determine r(70).
-65
Let k(i) = -i**2 + 10*i + 350. Give k(26).
-66
Let u(c) = c**3 + 30*c**2 + 46*c + 273. Calculate u(-29).
-220
Let m(a) = 5*a**2 - 469*a + 1280. Determine m(91).
6
Let y(m) = -44*m - 2151. What is y(-49)?
5
Let d(l) = l**3 - 45*l**2 + 436*l - 45. What is d(31)?
17
Let k(j) = 98*j**3 - j**2 - j - 1. Determine k(-1).
-99
Let p(f) = -26*f**2 - 78*f + 111. Give p(1).
7
Let a(c) = -9*c**2 + 71*c - 41. Give a(9).
-131
Let w(u) = -447*u - 1769. Calculate w(-4).
19
Let o(b) = -b**3 + 29*b**2 + 171*b - 5327. Calculate o(14).
7
Let m(p) = -p**2 - 47*p - 156. Give m(-43).
16
Let n(s) = 11*s**3 + 472*s**2 - 34*s + 396. Calculate n(-43).
9
Let a(g) = g**3 - 14*g**2 + 10*g + 45. Determine a(14).
185
Let w(a) = -43*a - 30. Determine w(-9).
357
Let m(i) = -11*i + 400. Give m(21).
169
Let g(y) = -y**3 - 38*y**2 + 79*y + 31. Calculate g(-40).
71
Let w(z) = z**2 - 26*z - 186. Determine w(27).
-159
Let d(a) = -a**2 + 65*a - 824. What is d(13)?
| {
"pile_set_name": "DM Mathematics"
} |
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