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) = -k + 2. Let v(t) = t - 3. Let y(g) = -6*u(g) - 4*v(g). What is y(d(i))?
2*i
Let t(z) = 2*z**2 + 1 - 1. Suppose -9*w + 3*w = -30. Let r(a) = 5 - w + 6*a + 0. What is r(t(b))?
12*b**2
Let s(y) = -3. Let h(t) = 5 + 0 + t**2 + 3 - 4. Let n(u) = -3*h(u) - 4*s(u). Let j(x) be the third derivative of x**5/60 - x**2. What is n(j(p))?
-3*p**4
Let b(q) = 2*q**2 + 5. Let f(j) = 1. Let y(s) = b(s) - 5*f(s). Let x(i) be the third derivative of i**4/24 + i**2. Give x(y(d)).
2*d**2
Let a(y) = 4*y**2. Let g(d) = -10*d - 2. Determine a(g(n)).
400*n**2 + 160*n + 16
Let v(u) = -2. Let h(t) = -t - 6. Let s(b) = h(b) - 3*v(b). Let g(c) be the third derivative of c**5/30 - c**2. Calculate g(s(i)).
2*i**2
Let t(y) = 0*y + 0*y - 2*y. Let d(r) be the first derivative of r**4/4 - 4*r - 1. Let j(u) be the first derivative of d(u). What is j(t(a))?
12*a**2
Let c(x) be the third derivative of -x**5/60 - 8*x**2 + 2. Let v(l) = -5*l**2. Determine c(v(n)).
-25*n**4
Let c(m) = 8*m. Let r(h) = 35*h**2. Give r(c(k)).
2240*k**2
Let w(n) = 4*n**2 + 3*n**2 - 6*n**2 + 0*n**2. Let r(v) = -6*v**2. What is r(w(p))?
-6*p**4
Let z(u) = -8*u - 5*u - u + 12*u. Let l(q) be the second derivative of q**4/6 + 2*q. Give l(z(d)).
8*d**2
Let v(f) = -8*f. Let s(t) = 23*t**2. Give v(s(y)).
-184*y**2
Let f(m) = -28*m**2. Let u(v) be the second derivative of -v**3/3 - 8*v + 2. What is u(f(x))?
56*x**2
Let d(x) = 9*x**2 + x. Let n(o) = -6*o. Calculate n(d(f)).
-54*f**2 - 6*f
Let m(s) = -2*s - 23. Let u(a) = -3*a**2. What is u(m(q))?
-12*q**2 - 276*q - 1587
Let q(c) = 160 - 160 - c**2. Let i(z) = -50*z**2. Determine q(i(t)).
-2500*t**4
Let c(l) be the first derivative of -l**2/2 + 2. Let s(d) = -d. Let t(n) = n. Let h(k) = 3*s(k) + t(k). What is h(c(j))?
2*j
Let i(q) be the third derivative of 0*q + 0*q**4 + 0*q**3 - 1/30*q**5 + 0 + 5*q**2. Let m(o) = -7*o**2. Give m(i(v)).
-28*v**4
Let a(m) = -374*m**2. Let w(f) = -8*f**2. Calculate w(a(b)).
-1119008*b**4
Let y(q) be the first derivative of 2*q**3/3 + 12. Let m(x) = -2*x**2 - 15*x. What is y(m(u))?
8*u**4 + 120*u**3 + 450*u**2
Let j(y) = -46*y. Let q(b) be the third derivative of -b**4/12 - 19*b**2. What is q(j(w))?
92*w
Let x(m) = 70*m. Let s(j) = -9*j**2. Determine x(s(l)).
-630*l**2
Let l(f) = 2*f. Let d(h) = 2*h**2 - h + 1. Let p(b) = -385*b**2 + 210*b - 210. Let x(o) = -210*d(o) - p(o). Calculate l(x(n)).
-70*n**2
Let q(x) = -3*x. Let m(c) be the first derivative of 5*c**2 + 10. What is q(m(j))?
-30*j
Let y(g) = -10*g**2. Let c(d) = -9*d - 4. Determine y(c(l)).
-810*l**2 - 720*l - 160
Let i(u) = -5*u**2 - 2*u - 36. Let b(n) = -2*n. What is i(b(q))?
-20*q**2 + 4*q - 36
Let c(t) = -14*t. Let q(g) be the third derivative of g**4/12 + 27*g**2. Calculate c(q(n)).
-28*n
Let x(a) = a. Suppose 0 = 2*t - 6 + 2. Let n(i) be the third derivative of 0*i - 1/60*i**5 + 0*i**3 + 0 + 0*i**4 + 2*i**t. Determine n(x(v)).
-v**2
Let k(z) = 10*z**2 + 5*z + 5. Let n(r) = 5*r**2 + 3*r + 3. Let x(g) = -3*k(g) + 5*n(g). Let p(m) = -2*m**2. Calculate x(p(s)).
-20*s**4
Let h(j) = j - 2*j - 1 + 1. Let p(t) be the third derivative of -t**4/12 - 4*t**2. What is p(h(d))?
2*d
Let n(o) = -14*o**2. Let j(y) = -5*y**2 + 3*y**2 + 4*y**2. Give n(j(x)).
-56*x**4
Let z(m) = -m. Let o(a) = 2*a**2 + a. Let n(p) = o(p) + z(p). Let t(j) = -j. Determine n(t(d)).
2*d**2
Let q(j) = -5*j. Let y be (-24)/(-36) + (-92)/(-6). Let i(r) = 4*r**2 + 16*r. Let z(f) = f**2 + 3*f. Let v(d) = y*z(d) - 3*i(d). Determine q(v(g)).
-20*g**2
Let t(x) = x. Let a(b) = -b**2 - 5*b - 1. Let k(s) = a(s) + 5*t(s). Let q(r) be the first derivative of k(r). Let i(o) = -11*o. Calculate i(q(h)).
22*h
Let c(w) = -2*w. Let m(a) = -76*a**2 + 22*a. What is c(m(u))?
152*u**2 - 44*u
Let w(v) = -57*v. Let x(s) = -119*s. Give x(w(p)).
6783*p
Let o(l) = 2*l**2. Let x = 13/294 - -6/49. Let p(q) be the second derivative of 0*q**2 - x*q**4 + 0 + q + 0*q**3. What is o(p(j))?
8*j**4
Let v(f) = 49*f**2 + f. Let i(o) = o**2. Determine v(i(l)).
49*l**4 + l**2
Let x be 2 - (3/(-3) + 1). Let u(b) = 2*b**2 - b**2 - x*b**2. Let c(v) = v**2. Calculate c(u(w)).
w**4
Let t(z) = z. Let n(o) = 5*o**2 - 6*o - 6. Let i(u) = 154*u**2 - 187*u - 187. Let f(a) = 6*i(a) - 187*n(a). Give t(f(h)).
-11*h**2
Let o(h) = -3*h. Let q(x) = -x**2 + 2*x. Let g = -22 + 31. Let y(n) = -4*n**2 + 9*n. Let d(m) = g*q(m) - 2*y(m). Give o(d(c)).
3*c**2
Suppose -3*k + 13 = 3*r + 4, -k + 1 = 0. Let a(l) = l**2 - r*l**2 + l**2 + 2*l**2. Let i(h) = 5*h. Let q(b) = -4*b. Let s(d) = -3*i(d) - 4*q(d). Give s(a(m)).
2*m**2
Let x(w) = -w**2. Let v be 1/(-2) - 5/(-2). Let r(j) be the first derivative of j**v - 1 + 0*j + 0*j + 0. Calculate x(r(s)).
-4*s**2
Let q(l) = -23*l. Let j(s) = -8*s. Determine j(q(v)).
184*v
Let i(p) = 7 - 6 - 1 + 4*p. Let r(w) = 9*w - 7. Let d(b) = -5*b + 4. Let f(u) = -7*d(u) - 4*r(u). Determine f(i(c)).
-4*c
Let b(i) = 2*i. Let l(g) be the first derivative of 0*g**2 + 1 - 2/3*g**3 + 0*g. Calculate l(b(r)).
-8*r**2
Let p(r) = -12*r. Let l(t) = -34*t**2. What is p(l(i))?
408*i**2
Let c(t) = -2*t. Let i(l) = 202*l**2 + 2*l. What is c(i(n))?
-404*n**2 - 4*n
Let z(b) = -15*b**2 + 5*b. Let s(l) = 8*l**2 - 3*l. Let w(k) = -10*s(k) - 6*z(k). Let i(p) = -3*p. Give i(w(r)).
-30*r**2
Let u(q) be the first derivative of -q**5/60 - 3*q**2/2 - 8. Let c(l) be the second derivative of u(l). Let t(g) = -15*g**2. What is c(t(r))?
-225*r**4
Let d(s) = 31*s**2. Let b(f) = 110*f. Determine b(d(r)).
3410*r**2
Let l(h) = h**2 - h**2 + h**2 + 0*h**2. Let y(n) = -4*n. Let f(x) = -x. Let m(r) = 10*f(r) - 2*y(r). Give l(m(v)).
4*v**2
Suppose 0 = 4*m + m - 40. Suppose -1 = -2*n + i, m*n - 3*n + 2*i - 7 = 0. Let j(o) = 2 - 3 - 4*o + n. Let x(v) = -v. What is j(x(l))?
4*l
Suppose -32 = -3*c - 5. Let j(z) = 9*z + 3*z**2 - c*z. Let f(l) = -2*l. What is j(f(t))?
12*t**2
Let w(y) = -35*y**2. Let h(x) = -11*x. Give h(w(p)).
385*p**2
Let d(y) = 16*y**2. Let i(m) = -4*m**2. Give d(i(b)).
256*b**4
Let p(m) = -2*m. Let a be 7 + -4 - 3 - -1. Let n(x) = 3*x - 4. Let f be n(3). Let b(w) = w + 1. Let u(k) = -5. Let v(r) = a*u(r) + f*b(r). Determine v(p(c)).
-10*c
Let o(g) = -2*g. Let m(t) be the third derivative of t**5/3 + 31*t**2. What is o(m(v))?
-40*v**2
Let p(y) = -39*y. Let w(m) be the first derivative of -2*m**3/3 - 14. Calculate p(w(k)).
78*k**2
Let u(i) = -3*i**2. Let q(b) = -152 + 152 + 31*b. What is u(q(o))?
-2883*o**2
Let f(a) be the third derivative of a**4/8 - a**3/2 + 5*a**2. Let c(l) = l**2 - l + 1. Let q(n) = 3*c(n) + f(n). Let v(k) = 3*k. Give v(q(z)).
9*z**2
Let l(h) = 23*h - 7. Let j(d) = 4*d**2. Calculate l(j(z)).
92*z**2 - 7
Let t be (-1)/(1/(-5) + 0). Let p be 22/t + (-4)/10. Let j(x) = -3*x - p*x + 6*x. Let h(l) = -2*l**2. Give h(j(c)).
-2*c**2
Let q(c) = 6*c + 3. Let g(a) = -10*a. Calculate g(q(s)).
-60*s - 30
Let t be 6/2*72/54. Let v(d) be the third derivative of 0 + 1/20*d**5 + 0*d + 0*d**3 + 0*d**t + 2*d**2. Let n(c) = c. Determine v(n(m)).
3*m**2
Let y(i) = 11*i**2. Let j(p) be the second derivative of p**4/6 + p. Calculate j(y(m)).
242*m**4
Let i(g) = 170*g. Let o(c) = -10*c. Let r(x) = -3*i(x) - 50*o(x). Let a(y) = y. Give r(a(k)).
-10*k
Let k(c) = -5*c. Let b(i) be the second derivative of 0 + 3*i + 0*i**2 + 1/3*i**3. Calculate b(k(d)).
-10*d
Let o(h) = 1. Let j(v) = 2*v - 5. Let w(x) = j(x) + 5*o(x). Let p(g) = -3*g**2. Determine p(w(r)).
-12*r**2
Suppose -4*y = -q - 5, 6*y - y + 2*q + 10 = 0. Let p(x) be the first derivative of 1 + y*x + 3/2*x**2. Let u(a) = -a. Determine p(u(w)).
-3*w
Let c(h) be the third derivative of -h**4/12 - h**2. Suppose -3*j = 2*j - 45. Let g(z) = -6*z + j*z - 4*z. Calculate c(g(u)).
2*u
Let d(y) = -y. Let l(i) = -29579*i**2. What is l(d(a))?
-29579*a**2
Let h(a) = -43*a**2. Let s(y) = -23*y**2 + 9*y**2 + 12*y**2. Calculate h(s(t)).
-172*t**4
Let y(l) = -5*l**2 - 5. Let q(u) = 7*u**2. Calculate q(y(b)).
175*b**4 + 350*b**2 + 175
Let v(q) = -30*q**2. Let j(f) = 7*f**2. Calculate v(j(k)).
-1470*k**4
Let o(x) = 3*x**2. Let q(m) be the third derivative of 0*m + 1/12*m**4 - 5*m**2 + 0 + 0*m**3. Give q(o(j)).
6*j**2
Let i(m) = -4*m**2. Let x = -1 + 3. Let u(j) = 3*j**2 + 0*j**x - 2*j**2 + j**2. Determine u(i(l)).
32*l**4
Let k(r) = -8*r. Let y(p) = 1220*p + 6*p**2 - 1220*p. Give k(y(x)).
-48*x**2
Let m(y) = 4*y - y**2 - 5*y + y.
|
{
"pile_set_name": "DM Mathematics"
}
|
orm s + g*a + b*a**3 + f*a**2 + y*a**4 and give y.
23
Express o**2 + 41 - 2*o**3 - 120 + 40 + 43 - 6*o - 3*o**2 as w*o**2 + v*o + y*o**3 + d and give v.
-6
Express 146 - 144 + 100*z**2 + 259*z**2 + (-1 + 2 + 0)*(2*z**2 + 3*z**2 - 7*z**2) + 2*z - 2*z - 2*z**2 in the form v + a*z + h*z**2 and give h.
355
Express -2*q + 2 - 2 + (-3 - 1 + 2)*(2*q + q - 4*q) + 200*q + 98*q - 416*q in the form k + f*q and give f.
-118
Rearrange (-1 + 2 + 0)*(b - 34 + 33 + 2*b)*(3*b**2 + 3*b**2 - b**2) to the form o*b**3 + x*b + a*b**2 + h and give o.
15
Rearrange 5*d**2 - 5*d**2 - 2*d**3 + (-3 + 3 + d**2)*(0*d + 0*d + d) - 2*d + 70*d**2 + 1647*d**3 - 1648*d**3 - 20*d**2 to u + x*d**2 + f*d + j*d**3 and give f.
-2
Rearrange 368*y + 46*y + 294*y - 71*y to n*y + m and give n.
637
Rearrange (-3*t + 6*t - 6*t)*(-5 + 1 + 2) to v + a*t and give a.
6
Express -35*p**3 - 20*p**2 - 3 - p**4 + 2*p + 1 + 37*p**3 + 0 as y*p**4 + l + z*p**3 + t*p**2 + h*p and give l.
-2
Express 3*g**2 - g**2 + 3*g**2 + 17 - 10 + 3*g**2 as w*g**2 + y + h*g and give w.
8
Rearrange -5*j**3 - 43 + 39 + 9 + (-24 + 8 - 7)*(3*j**2 - 3*j**2 - j**3) to g*j**3 + w + v*j**2 + x*j and give g.
18
Express 16*t + 2 + 284*t**4 + 34*t + 2*t**3 - 2*t**2 - 48*t as y*t**2 + q*t**4 + j*t + d*t**3 + x and give q.
284
Express -316*u**3 + 154*u**3 - 7*u**2 + 171*u**3 + 4*u**4 in the form q*u**2 + m + l*u**4 + t*u**3 + i*u and give l.
4
Rearrange 1 + 8*v + 0*v**3 - 9527*v**4 + 3*v**2 + 9524*v**4 + 0*v**3 to g*v**4 + c*v + s*v**3 + j + n*v**2 and give c.
8
Rearrange 3*r - 33 + r**3 + 2*r**4 + 15*r**2 + 48 - 15 to k + c*r**2 + s*r**4 + v*r + b*r**3 and give v.
3
Express 70*t - 3 - 62*t - 1840*t**3 + 1836*t**3 as q*t**3 + j + c*t + f*t**2 and give q.
-4
Express 4*x - 5*x + 224 - 99 - x**2 as v*x**2 + l + p*x and give l.
125
Express (-v - 8*v - 2*v + 1 - 1 + 2*v + (0 + 1 - 3)*(-2*v + 4 - 4))*(-3*v**2 + 14*v**2 + 2*v**2) as u + q*v**2 + y*v + b*v**3 and give b.
-65
Express -14*o**4 + 1 - 15*o**4 + 45*o**4 - 7*o + 0*o - 12*o**4 - o**3 as x*o + h*o**3 + q + u*o**2 + y*o**4 and give x.
-7
Rearrange 2*c - 2 - 2652*c**4 + 5169*c**4 - 2615*c**4 to o*c + m*c**2 + q*c**3 + s + l*c**4 and give l.
-98
Rearrange (-29*c + 29*c - 20*c**2)*(-6*c**2 + 2*c - 1 + 4*c**2 - 2*c**2) to the form d*c**2 + u*c + y*c**3 + x*c**4 + i and give i.
0
Express -43 + 50*l + 26 + 17 in the form i*l + c and give i.
50
Express j**4 + 1 + 23*j**2 + 0 - 2*j**4 + 2*j**4 in the form x*j**2 + w*j + o + s*j**4 + y*j**3 and give o.
1
Express (-2 + 2 - 2)*(1223 + 359*v - 1223) + 0*v - 2*v - v as s + l*v and give l.
-721
Rearrange 6*q - 14*q + 2 + 10*q**4 - 2*q - 2*q + 6*q to the form r*q**2 + z*q**4 + s + b*q**3 + v*q and give v.
-6
Rearrange -116*z - 161*z - 127*z - 2*z to f + i*z and give i.
-406
Express -5 + d + 5 + (2 - 2 - 4*d)*(-4 + 0 + 34) as u + x*d and give x.
-119
Rearrange 14*c**3 - 378*c - c**3 - 7*c**3 + 360*c + 8*c**3 to w*c + n*c**3 + g + b*c**2 and give w.
-18
Rearrange (10 + 43 + 28 + (-1 - 2 + 2)*(4 - 5 + 2))*(0 + 0 - t) to the form k*t + v and give k.
-80
Rearrange (x**2 + x**2 + 0*x**2)*(-3*x**2 + x**2 + 5*x**2) + 32*x**4 - 41*x**4 - 135*x**4 to d*x**2 + y*x**4 + r + v*x + u*x**3 and give y.
-138
Rearrange -16*r - 1609*r**2 - 30*r**3 + 3 + 16*r + 1608*r**2 - 2*r**4 to the form q*r**4 + n + s*r**2 + h*r + b*r**3 and give s.
-1
Rearrange 0*r + 2*r - r + (-4*r + 3*r + 4*r)*(44 + 0 + 115) to j + q*r and give q.
478
Rearrange w + 35*w**3 + 120*w**3 - 3*w - 20*w**3 + 4*w to the form y + v*w + q*w**2 + r*w**3 and give q.
0
Express (-18 + 12 + 12)*(-3 - 1 + 6)*(2 + 3*o - 2)*(29 - 19 - 18)*(4 - 3 + 0) in the form p + m*o and give m.
-288
Rearrange 4*l**2 - l - 13*l**2 - 2 - l**3 + 7*l**2 - 2*l**4 to the form w*l**3 + n + f*l**4 + b*l**2 + u*l and give w.
-1
Express -28*f**4 - 25*f**3 - 6 + 26*f**3 + 5 - 1 in the form s*f**2 + d*f + i*f**4 + h*f**3 + a and give i.
-28
Rearrange -45*s**2 + 49*s**2 + 14*s - 4 - 14*s to n*s**2 + g + o*s and give n.
4
Rearrange 3*m**2 - m + 15*m**3 - 3*m**2 - 5 - 155790*m**4 + 155788*m**4 to the form o*m**4 + a*m + z*m**2 + i*m**3 + b and give i.
15
Rearrange (b**2 + 0*b**2 + 6*b**2 + b**3)*(-297 - 115 + 110) + 0*b**3 - 3*b**3 + 4*b**3 to x*b**2 + p + m*b + r*b**3 and give x.
-2114
Rearrange -29*u - 4*u**3 + 17*u - u**2 + 4 + 9*u**3 + 5*u**3 + 14*u to d*u**3 + h*u + w*u**2 + b and give h.
2
Express -6*n + 94 - 96 + 24*n + 2*n - 4*n - 3*n + (3*n - 4*n + 0*n + (2 + 4 - 4)*(-2*n + 0*n + 0*n))*(-1 - 2 + 5) in the form z + h*n and give z.
-2
Express (3375 - 6*d + 10*d - 3404)*(-2*d**3 + d**3 - d**3) as i*d**3 + v + g*d**4 + o*d + w*d**2 and give g.
-8
Rearrange (-d + 0*d - d**2 + 0*d**2 + (-d**2 - 4*d**2 + d**2)*(2 - 1 - 2))*(2*d + d + d)*(-3 + 0 + 2) to the form v + y*d**2 + n*d**3 + k*d and give y.
4
Express -35*h + 70*h + 23*h + 95*h in the form j*h + x and give j.
153
Express 7 + 175*i + 0 - 6 as k + m*i and give k.
1
Express 3 + 2 + 3222*v + 1 - 3220*v in the form z*v + n and give z.
2
Express -147*a**3 + 2*a**2 + 72*a**3 + 11*a + 71*a**3 - 2 as f*a + d + o*a**3 + b*a**2 and give d.
-2
Express -o**4 + o**3 - 22*o - o**2 - 21*o + 38*o in the form g*o**3 + j*o + b*o**4 + q + k*o**2 and give k.
-1
Rearrange (639 - 639 + 29*u**3)*(0*u - 3*u + 4*u) - u**4 - u**4 + 4*u**4 to the form r*u + y + f*u**2 + v*u**4 + x*u**3 and give v.
31
Express -1555 - 1546 - 61*u + 277*u + 3101 in the form q + l*u and give l.
216
Rearrange 39*u**2 + 16*u + 7*u - 43*u - 1 + 14*u + 7*u to g*u + n*u**2 + d and give d.
-1
Rearrange (65*s**2 + 21*s**2 + 16*s**2 + (0 + 0 - 2*s)*(-s + 2*s - 3*s) + s**2 + 2*s**2 - 5*s**2)*(-5*s - 5*s + 5*s) to m*s**3 + k*s**2 + o*s + n and give m.
-520
Express 105*m + 188*m + 25*m as w + o*m and give o.
318
Express (-21 - 6*x + 21)*(0*x + 0*x + 4*x**3)*(-2 + 2 - 4) in the form v*x + h*x**3 + w*x**2 + d + s*x**4 and give s.
96
Rearrange (-3*w + w**2 + 3*w)*(-4 + 2*w + 4 + (6 - 14 - 38)*(-3*w + 4*w - 2*w)) to i + j*w**2 + q*w + m*w**3 and give m.
48
Rearrange 379*v + 951*v**2 - 379*v - 83*v**2 to r + p*v + x*v**2 and give x.
868
Express -7 + 697*t**4 + 3 - 298*t**4 + (-2*t**2 + 2*t**2 - t**2)*(3*t**2 - 3*t**2 + t**2) as k + x*t**4 + r*t + g*t**3 + a*t**2 and give x.
398
Rearrange (-a**3 - 58*a**3 + 8*a**3)*(-2 + 0 - 2) + 0*a**3 - 3*a**3 + 4*a**3 to g + n*a**3 + m*a**2 + w*a and give m.
0
Rearrange -3*i**3 - 113 + 5*i**2 - 4*i**4 - 2*i + 45 + 67 + 0*i**3 to a + n*i**4 + c*i**3 + z*i**2 + l*i and give a.
-1
Rearrange (-4*v**2 - 2*v**2 + 4*v**2)*(-4 + 5 - 2) + v**2 - 3*v**2 + 4*v**2 + 33*v**2 - 35*v**2 - 116*v + 120*v to x*v**2 + f*v + m and give f.
4
Rearrange -11 + 6*z**4 + 20*z**2 + 20 + 2*z**3 - 20*z**2 to d*z + h + n*z**2 + g*z**3 + c*z**4 and give g.
2
Express 75*l + 5 + 29 - 34 as h*l + d and give h.
75
Rearrange 62*v + 122*v + 9 - 7 - 2 to the form k*v + r and give k.
184
Express (-6*p**2 - 2*p**2 - 2*p**2)*(-5*p**2 + 3*p**2 - p**2) + (2*p**2 + p - p)*(4*p**2 + 0*p**2 - 6*p**2) as x + u*p**4 + z*p + f*p**3 + g*p**2 and give f.
0
Express (1 + 2 - 1)*(2*g + 1 - 1)*(5 + 0 - 1)*(-182 + 23 - 33) in the form h + f*g and give f.
-3072
Rearrange -20 - 11*t - 5*t + 16*t - 2*t**2 to the form r*t + w + k*t**2 and give w.
-20
Rearrange 38*o - 2*o**2 - o - 12*o + o - 13*o to the form a*o + w + g*o**2 and give a.
13
Rearrange (4*y**2 - y**2 - 5*y**2)*(4*y**2 + 444*y**2 + 518*y**2) - 2*y**4 + 0*y**4 + 3*y**4 to b*y**3 + m*y**2 + p + v*y + z*y**4 and give z.
-1931
Rearrange 20 + 192*g - 8 - 12 + 353*g to u*g + p and give u.
545
Rearrange -2*s**3 + 43*s + s**4 + 0*s**4 - 4*s**4 + 39*s - 2 - 80*s to u*s**3 + x*s**4 + v*s**2 + t + n*s and give u.
-2
Express -2 + 2316*h**2 + 34*h + 31*h - 2317*h**2 as z*h**2 + x*h + y and give y.
-2
Express 4*u + 226*u**2 - u - u - 43*u**2 in the form t*u + a + f*u**2 and give f.
183
Express -q**3 - 14*q - 158*q**2 + 16*q + 82*q**2 + 35 + 77*q**2 in the form b + m*q**3 + r*q**2 + o*q and give b.
35
Express 500*f**2 - 668*f + 668*f in the form z*f**2 + r + c*f and give z.
500
Express 4*x**2 + x**3 - 10*x**2 - 10*x**4 + 114 - 58 - 55 as p + q*x**4 + l*x**2 + g*x + f*x**3 and give l.
-6
Express (5 - 5 - 2*m)*(-3994*m**2 + 9188*m - 18373*m + 9185*m) in the form d*m**3 + o*m + g + l*m**2 and give d.
7988
Rearrange 6*x**4 - x**4 + 2*x**3 + x**3 + (4*x - 2*x**2 - 4*x)*(255 - 33*x**2 - 255) to t + a*x**3 + m*x + w*
|
{
"pile_set_name": "DM Mathematics"
}
|
ich is greater: i or z?
i
Suppose -4*i - 2 = -3*r + r, 0 = r + 3. Is i at least 0?
False
Let p = -0.995 + -0.005. Is p < -0.2?
True
Suppose 2*q - 4*q = -5*b, -b + 5*q = 23. Suppose -10*k + 7*k + 6 = 0. Do b and k have different values?
False
Let c = -19.42 + 19. Let g = 13.98 - 14. Let u = c - g. Which is greater: -2/7 or u?
-2/7
Let z(l) = l**3 - 14*l**2 - 17*l + 29. Let f be z(15). Is f less than or equal to 1/24?
True
Let u be 1 - (-1 + 3)*2. Let r be (4/(-3))/(1/u). Is r not equal to 1?
True
Let h be -5*((-4)/2)/(-2). Let r = h - -4. Which is smaller: r or 1?
r
Let y be 1*2 + 4/3. Which is smaller: 4 or y?
y
Suppose 4*k + 52 = 196. Suppose 0 = 3*o - 3*z + k, 28 = -4*o + 5*z - 24. Let l be 2/o - (-18)/(-24). Which is bigger: l or -3/5?
-3/5
Suppose 5*y - 3*d = 15, d + 2 = 4*y - 3. Which is greater: y or -2/3?
y
Let y = 26.8 - 29. Let h = y + 1.9. Which is smaller: -0.2 or h?
h
Suppose -3*c + 43 = 1. Suppose -c = -p + 4*p + 4*m, -4*p - 5*m - 18 = 0. Which is bigger: -3 or p?
p
Let x = -11 + 8. Let s = 24 - 26. Which is smaller: x or s?
x
Suppose -6 = -3*f - 12. Which is greater: 0 or f?
0
Suppose 0*d + 3*d + 306 = -3*o, 2*d = -4*o - 204. Let g be (-56)/d*(-66)/(-48). Let j = g - 10/17. Which is smaller: j or 1?
j
Let q(m) = 2*m**3 - 2*m + 1. Suppose -17 = -2*n + 3*v, -3*v + 18 = -2*n - 7*v. Let x be q(n). Which is greater: 7/5 or x?
7/5
Let f = 64 - 323/5. Is 0.4 less than f?
False
Let r(k) = k - 1. Let j be (1/1 + -3)/(-2). Let i be r(j). Is 3/5 at least i?
True
Suppose 0*y + 3*o + 837 = 4*y, -3*y + 5*o = -636. Let g be (-120)/y + (-4)/(-6). Which is smaller: -1 or g?
-1
Let f = -42 - -32. Which is greater: -1/3 or f?
-1/3
Let c = -7.5 + 2.4. Let y = c - -5. Are 6 and y non-equal?
True
Let q = 13051/17 - 768. Which is smaller: 0 or q?
q
Let r be (-131)/7 + 10/(-35). Is -37/2 at least as big as r?
True
Let a = 15 + -16. Let x = 1.1 + 8.9. Is x less than or equal to a?
False
Let j = -81/91 + 6/13. Is j bigger than 4/9?
False
Suppose -2*b = -6*b + 3*c - 30, b + 15 = -3*c. Let s be (-47)/6 - (-18)/(-108). Is s at most b?
False
Let s = 1/328 + 317/3608. Which is smaller: -1 or s?
-1
Let o = 4 + -3. Let f be o/(-6)*(-18 - -3). Is 2 greater than or equal to f?
False
Suppose 0*d - 3*d + 3*c = 0, d + 3*c + 4 = 0. Suppose 7*b + 18 = -2*b. Let x = d - b. Which is greater: x or 2/9?
x
Suppose u + 3 = -2*u. Let t = -6 - -8. Suppose 6 - t = -5*d + 2*a, 2*d + 7 = -a. Which is smaller: u or d?
d
Let z be 2/(-3) + (-19 - -20). Let q = -3 - -3. Does q = z?
False
Suppose 2*b = -0*b + 4. Suppose -20 = b*k + 28. Let q be (-2)/8 - (-2)/k. Which is bigger: 1 or q?
1
Let g be (2 - (0 + 1))*4. Suppose 2*k + g = -2*k. Suppose -3*c - 3*b - 8 = -2*c, -4*c + 5*b = -2. Is c > k?
False
Let a = -0.14 - -0.14. Which is greater: 1 or a?
1
Suppose 3*f + 2*q - 9 + 0 = 0, 5*f = -5*q + 15. Suppose 0 = -f*t + t + 10. Suppose 0 = -7*c + 2*c + t. Which is bigger: c or 0?
c
Suppose -51 = -4*q - 0*q - 3*r, 2*q - 2*r = 22. Let o = 17 - q. Suppose o*u = -5, 2*u + 3 = -f - 0*u. Which is smaller: f or -3?
-3
Suppose 2*z = -0*j + 2*j - 40, 0 = -4*j - 4*z + 64. Suppose -2*a + 12 = -0*a - g, 0 = -3*a - 4*g + j. Suppose -49*t - 28*t = -308. Is a smaller than t?
False
Suppose -9 = 2*k + 3. Let b(d) = -3*d - 6. Let o be b(-4). Suppose -o - 9 = 3*a. Which is greater: a or k?
a
Let s(r) = -r + 2. Let f be s(2). Let p = -4 - -4. Suppose f = c - 4 - p. Which is bigger: 5 or c?
5
Let h = -3 + 6. Suppose -25*k = -24*k - 2. Is k smaller than h?
True
Suppose 7*y - 3*y = 4*t + 12, 2*t = -2*y + 10. Which is greater: t or 3?
3
Suppose 2*g + 0*g = -6, 2*g = 5*x - 21. Let i(b) = b - 2. Let c be i(x). Let p be 0/(-1 + -2 + c). Is p greater than 1?
False
Suppose -4*a + 7 + 65 = 4*l, -2*l + 78 = 5*a. Let b = a - 22. Does -9 = b?
False
Let n(t) = -3*t - 5. Let q be n(-2). Let p be 2/3 + 84/(-99). Which is greater: q or p?
q
Suppose 5*y = -0*y. Let b = y + 1. Let o be 1/(-13)*6/3. Does b = o?
False
Let u(q) = -2*q + 11. Let x be u(7). Let f be 4/(-3) + (-4)/6. Is f > x?
True
Let w = -206/3 + 616/9. Let z = -14 + 12.96. Let g = z + 0.04. Does w = g?
False
Let m be 2/5*(13 + -3). Suppose -m - 2 = -3*z. Are 6 and z non-equal?
True
Let z = -13/5 - -57/20. Let g = 0.58 - -0.02. Let p = g + -0.5. Are p and z unequal?
True
Suppose -4*u + 1 = 5. Let p be (-1*u/3)/1. Which is bigger: 1 or p?
1
Let a = 0.001 + 0.069. Which is smaller: -1 or a?
-1
Suppose m + 8 = -z, -z + m + 4 = 2. Let d = 31/12 + z. Let f = -3/4 - d. Is -1 at most f?
True
Let p(k) = k**3 - 4*k**2 - 4*k - 3. Let f be p(5). Let q = -71 - -120. Let i be f/(-8) - q/28. Is i > -2?
False
Let k(a) = a - 3. Suppose 0 = -3*g - 13 - 2. Let o(u) = 1. Let x(q) = g*o(q) + k(q). Let l be x(11). Which is smaller: 4 or l?
l
Let f(r) = r - 6. Let j be f(8). Suppose 0 = -2*k + 2*w - j, -3*w - 4 = -1. Is -2 bigger than k?
False
Let i be -3 + -2 + (-1 - -5). Let z = i + 3. Let v be (-3)/(-2)*z/(-6). Is 0 at least v?
True
Suppose -c - 2 = -3*c. Let f be c - 2 - (-16)/6. Which is smaller: 1 or f?
1
Let v be (9/102)/(6/8). Is v less than 1?
True
Let y = -4005 - -805007/201. Let b = -380/2211 - y. Which is smaller: 1 or b?
b
Let t = 102.789 + 0.211. Is t <= 2/3?
False
Let q = 0.07 - -6.93. Let d = q + -7.4. Suppose 3*x = -2*x. Is d smaller than x?
True
Suppose 2*y + 8 = -2*y + 3*p, -3*p = 4*y + 32. Is y <= -6?
False
Let r = 5 - 3. Suppose -1 - r = -3*i. Which is smaller: 2/15 or i?
2/15
Let o(a) = -a**3 + 2*a**2 + a. Suppose -z = -0*z - 2. Let f be o(z). Let g(x) = -x**3 + x + 3. Let v be g(0). Is f less than or equal to v?
True
Let q(v) = v**2 + 2*v + 5. Let p be q(-3). Which is smaller: p or -1?
-1
Suppose -5*a = -s + 82, 5*s + 3*a + 33 = 499. Let h be (3 - 1) + s/(-36). Which is smaller: -2 or h?
-2
Suppose -7*k = -2*k. Are k and 6/13 equal?
False
Let m = -2 - 1. Let f(s) = 4*s - 3*s**2 + 4*s**2 + 0 + 2. Let o be f(m). Which is smaller: o or 2/9?
o
Let f be (-4)/(-10)*15/3. Suppose 8 = -2*g - 2*t, 0*g - t - f = -g. Let q be (6/(-9))/((-16)/(-24)). Is q less than g?
False
Let j = 1252/11 - 114. Which is greater: j or 0?
0
Let n = -34/15 + 13/5. Let o = -2.156 + 0.216. Let v = o - -2. Are v and n non-equal?
True
Let x be ((-6)/(-228))/((-4)/(-24)). Which is smaller: x or 0?
0
Let i = 53.9 + -65. Let f = i - -11. Is f < 1?
True
Let b be 1/((0 - 0) + -3). Which is smaller: b or 0?
b
Let q = 135/8 - 17. Let b = -4604/3 - -1521. Let m = 13 + b. Which is smaller: m or q?
m
Suppose 0 = -2*w - 2*w. Let q = 1 - w. Is q > 0?
True
Let t = -31.6 + 38. Let o = 9 + -16. Let g = o + t. Which is bigger: g or -1/4?
-1/4
Suppose 3*a = -6 - 0. Let m be 3 + -6 + 0/a. Is 0.1 at most as big as m?
False
Let h(i) = 4*i. Let v be h(1). Let m = v + -3. Let z = m - 2. Is z greater than 0?
False
Suppose 4*g + 17 = -3*q, 3*q = 3*g + 10 + 8. Let s be ((-3)/4)/(-2 + -1). Which is smaller: s or q?
s
Let m = 0.1 - 0.1. Suppose 4*u + 20 - 76 = 0. Let g be (-4)/u + (-72)/(-105). Which is greater: g or m?
g
Let s be -3 + (4 + 1 - 0). Suppose h - 4*h - c = 2, s = -5*h - 3*c. Which is greater: -0.1 or h?
-0.1
Let u(h) = -h**3 - 6*h**2 + h + 5. Let v(j) = j**2 - 5*j. Let w be v(3). Let g be u(w). Which is smaller: 0 or g?
g
Let l = -27452/2781 - -266/27. Which is bigger: l or 0?
0
Suppose 0 = -3*s + 2 + 22. Let j = s - 3. Which is greater: j or 1/3?
j
Let x = 7 - 7. Let w = x + 2. Which is bigger: w or 2/3?
w
Suppose -3*w - 90 = 18. Is -36 at least w?
True
Let a = -60/161 - -2/23. Is -3 bigger than a?
False
Suppose 3*a - 28 = -4*f - a, 0 = -f - 3*a + 17. Which is bigger: 7 or f?
7
Let d(i) = -i**2 - i - 1. Let r be d(-1). Let q be (-1 + 4)/((-3)/(-2)). Let c be 0 + (2 - q/2). Is r < c?
True
Suppose -g - h + 1 + 1 = 0, 5*h - 2 = -g. Are -2 and g nonequal?
True
Suppose -16 = 4*w + 2*u, 4*w - 5*u + 32 = 2*w. Suppose -4*d + d = -18. Let g be (18/(-8))/(d/16). Is g > w?
False
Suppose -u = -2*u + 66. Suppose 0 = 4*c - 3*y - 0*y + 74, -3*c - 3*y - u = 0. Which is greater: c or -21?
c
Suppose 5*c - 15 + 0 = 0. Let j = c + -5. Let l be -2*(1 - 2) + -3. Is j < l?
True
Let c be (-1)/4 + (-39)/(-12). Let j be (-11)/15 + c/9. Let v = -2.9 + 3. Is j <= v?
True
Let m = 30 - 29.53. Let a = m - 0.17. Is a != -2/5?
True
Let k = 39 - 68. Is -30 smaller than k?
True
Let p = -0.8 + 0.71. Is p >= -0.1?
True
Let x(m) = -m + 5. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 3*p + 18. Calculate -3*c(q) - 5*n(q).
q**2 + q
Let z(n) = 11*n**3 - 15*n**2 - 11. Let s(k) = -5*k**3 + 8*k**2 + 5. Give -7*s(v) - 3*z(v).
2*v**3 - 11*v**2 - 2
Let a(v) be the second derivative of -v**4/12 + v**3/6 + v**2/2 + v. Let g = 3 - 1. Let k(h) = 5*h**2 + 0*h**2 - 6*h - h**2 + g*h**2 - 4. What is 4*a(x) + k(x)?
2*x**2 - 2*x
Let j(k) = 32*k + 34*k - 65*k. Let p(i) = -i + 1. What is 4*j(q) + 3*p(q)?
q + 3
Let f(d) = -8*d**3 + 9*d**2 - 9*d + 9. Let a(r) = -2*r**3 + 2*r**2 - 2*r + 2. Suppose 1 + 9 = 5*h. Give h*f(i) - 9*a(i).
2*i**3
Let p(h) = -136*h. Let j(r) = -r. Give 85*j(z) - p(z).
51*z
Let a(y) = 3*y + 3. Let p(f) = -f - 1. Let o(x) = 8*x + 7. Let m(s) = -o(s) + p(s). What is -11*a(b) - 4*m(b)?
3*b - 1
Let k(d) = 8*d - 10. Let z(j) = 9 + 20 - 23*j + 18 - 18. Determine -17*k(q) - 6*z(q).
2*q - 4
Let n(c) = 15*c. Let m be (3 - -2) + -10 + 6. Let g(k) = -k. Give m*n(a) + 20*g(a).
-5*a
Let a(p) = 4*p - 1. Let c(t) = t - 9. Let j be c(7). Suppose 3*h - 15 = -2*h. Let g(x) = h*x - x - x. Give j*g(m) + a(m).
2*m - 1
Let k(b) be the first derivative of b**2 - 1 + 0 + 0 - 3*b. Let l(o) = -o + 2. Let c = -1 + 4. Give c*k(f) + 4*l(f).
2*f - 1
Let m(i) = 2*i**3 - i**2 + 5*i. Let d(y) = -2*y**3 + y**2 - 4*y. Suppose 2 = 2*a - 6, 2*u = -3*a + 16. What is u*m(j) + 3*d(j)?
-2*j**3 + j**2 - 2*j
Let j(z) = -10*z**2 - 5*z + 5. Let g(k) = 10*k**2 + 4*k - 4. Determine -5*g(b) - 4*j(b).
-10*b**2
Let n(p) = 3*p**3 + 4*p**2 + 5*p - 1. Let z(x) = 3*x**3 + 3*x**2 + 4*x - 1. Determine 3*n(s) - 4*z(s).
-3*s**3 - s + 1
Let u(q) = 5*q - 8. Let y be u(6). Let l(s) = 2*s. Let w(v) = -29*v + 8. Let f(c) = -10*c + 3. Let z(x) = 8*f(x) - 3*w(x). Determine y*l(t) - 6*z(t).
2*t
Let f(g) be the first derivative of -g**3/3 + 5*g**2/2 - 3*g + 1. Let a(u) be the first derivative of f(u). Let l(n) = -1 - 1 + 4*n - 9. Give 13*a(k) + 6*l(k).
-2*k - 1
Let m(f) = -2*f**3 - 19*f - 5. Let u(p) = p**3 + 18*p + 4. What is 3*m(n) + 4*u(n)?
-2*n**3 + 15*n + 1
Let l(c) = -21*c**2 - 5*c + 5. Let m(k) = 84*k**2 + 21*k - 21. Determine 21*l(r) + 5*m(r).
-21*r**2
Let p(j) = 4*j. Let l = 64 - 63. Let b(z) = -z. Determine l*b(r) + p(r).
3*r
Let h(v) = v**2 + 4*v + 4. Suppose -z - 4 + 3 = 0. Let o(s) = s**2 + 5*s. Let r be o(-5). Let k(a) = 1 + 0*a + r + a. Determine z*h(x) + 5*k(x).
-x**2 + x + 1
Let x(i) = 3*i + 3. Let u(g) = -2*g - 2. Let s(v) = 2*v**2 - 8*v - 6. Let f be s(5). What is f*u(l) + 3*x(l)?
l + 1
Let w(y) = -4*y**3 - 5*y**2 + 3. Let t(q) = -10*q**3 - 6*q**2 - 1. Let k(b) = -b**3 - 1. Let d(u) = 5*k(u) - t(u). Let g = -2 + -4. Calculate g*w(n) - 5*d(n).
-n**3 + 2
Suppose 5*y - 45 = 5. Let m be (0 + -1)/(2/y). Let i(t) = t + 1. Let q(l) be the third derivative of l**4/12 + l**3/6 + l**2. What is m*i(d) + 3*q(d)?
d - 2
Let i(s) = -2*s**2 + 4*s + 2. Let l(k) = -2*k**2 + 5*k + 2. Give 4*i(j) - 3*l(j).
-2*j**2 + j + 2
Let j(y) = 68*y. Let v(i) = 476*i. Calculate 34*j(u) - 5*v(u).
-68*u
Let h(c) = 114*c**3 + 104*c**3 - 7 - 3*c**2 - 224*c**3. Let j(l) = 5*l**3 + 2*l**2 + 6. Determine -6*h(r) - 7*j(r).
r**3 + 4*r**2
Let s(q) = -2*q**2 + 6*q + 3. Let p(g) = -6*g**2 + 17*g + 8. Let l = 29 - 33. Give l*p(r) + 11*s(r).
2*r**2 - 2*r + 1
Let f(b) = 2*b**3 + b**2 + b + 3. Let i(z) = z**3 + z + 1. Give -2*f(m) + 6*i(m).
2*m**3 - 2*m**2 + 4*m
Let y(o) = -2*o**2 - 15. Let p(h) = -2*h**2 - 16. Give -4*p(q) + 5*y(q).
-2*q**2 - 11
Let p(l) = -5*l**2 + 6*l - 4. Let c = -1 - 0. Let s(u) = -u + 2 + 3 - 4 + u**2. What is c*p(k) - 6*s(k)?
-k**2 - 2
Let w(p) = 7*p**2 + 6*p. Suppose -3*z = -z - 4. Let j(h) = -h - 6*h**z - 3*h**2 + 3*h**2 - 4*h. Give 5*j(g) + 4*w(g).
-2*g**2 - g
Let t(v) = -7*v - 4. Let c(s) = -2 - 6*s + s + s. Let a(g) = g**3 + 4*g**2 - 7*g - 5. Let q be a(-5). Determine q*c(r) - 3*t(r).
r + 2
Let d(k) = -k - 118 + 118. Let g(f) = -6*f. What is 5*d(j) - g(j)?
j
Let a be (-9)/(-6) + (-5)/(-10). Let o be 4/(-1) - (1 - 2). Let v(r) = -2*r**2 + 2*r + 1. Let n(l) = -2*l**2 + 3*l + 2. Determine a*n(f) + o*v(f).
2*f**2 + 1
Let x(q) be the first derivative of 8*q**3/3 - q**2/2 + 5*q - 208. Let b(s) = -s + 1. Let c(i) = 7*i**2 + 3. Let z(t) = b(t) + c(t). Determine -5*x(u) + 6*z(u).
2*u**2 - u - 1
Let z(p) be the first derivative of 19*p**2/2 - 13*p - 3. Let c(r) = -3*r + 2. Determine -39*c(a) - 6*z(a).
3*a
Let s(b) = b + 1. Let a(o) = 2*o**2 + 4*o + 3. Calculate a(p) - 4*s(p).
2*p**2 - 1
Let h(s) = 2*s + 4. Let r = 21 - 24. Let b(o) = -1. Determine r*b(t) - h(t).
-2*t - 1
Let c(n) = -4*n**3 + n**2 - 5*n + 1. Let p(u) = u - 1. Let k(g) = -c(g) - 5*p(g). Let r(t) = 13*t**3 - 3*t**2 + 13. What is 7*k(j) - 2*r(j)?
2*j**3 - j**2 + 2
Let l(u) = -3*u**2 - 15*u - 7. Let k(n) = 2*n**2 + 10*n + 5. Determine -7*k(p) - 5*l(p).
p**2 + 5*p
Let v(j) = 2*j**3 + 7*j + 6. Let b(y) = -2*y**3 - 6*y - 5. Let d = 53 + -57. What is d*v(q) - 5*b(q)?
2*q**3 + 2*q + 1
Let j(n) = 16*n. Let t(k) = 4*k - 1. Let c be t(7). Suppose c*w - 24*w = 30. Let a(i) = 5*i. Give w*a(x) - 3*j(x).
2*x
Let u(a) = 3*a**2 - 2*a. Let p(x) = 7*x**2 - 3*x - 1. Calculate 2*p(k) - 5*u(k).
-k**2 + 4*k - 2
Let x(k) = 2*k**3 + 2*k**2 + 2*k. Let o(f) be the third derivative of 1/6*f**4 + 0*f**3 + 1/24*f**6 - 3*f**2 + 0 + 1/12*f**5 + 0*f. Determine 3*o(u) - 7*x(u).
u**3 + u**2 - 2*u
Suppose 4*i = -3*s - 7, 2*i - 6*i = 4*s + 4. Let t(y) = -6*y**2 - y + 1. Let l(c) = 5*c**2 + c - 1. Calculate s*t(g) + 4*l(g).
2*g**2 + g - 1
Let z(k) = -k**2 - k + 4. Let g(r) = 0*r + 3*r - r**2 + 7 - 5*r. Give 4*g(s) - 7*z(s).
3*s**2 - s
Let d(b) be the second derivative of -1/6*b**3 - 1/12*b**4 + 0 + 1/2*b**2 + 2*b. Let q(w) = 3*w**2 + 4*w - 4. Suppose -7 - 1 = -2*h. Calculate h*d(f) + q(f).
-f**2
Let t(f) = 1. Let b(i) = -28*i**2 - 84. Determine -b(m) - 84*t(m).
28*m**2
Let a(u) = 4*u**2 - 5*u + 1. Let w be -8 - -7 - 26/(-1). Suppose 2*f = -p - 13, -f + 5*p = -3*f - w. Let z(g) = 5*g**2 - 6*g + 1. Give f*z(j) + 6*a(j).
-j**2 + 1
Let m(t) = 3 + 3*t + 5*t**3 + 0*t - 3*t. Let f(n) = n**3 + 1. Let o(b) = 4*f(b) - m(b). Let d(v) = -v**2 - 2*v - 2. Calculate d(w) + 2*o(w).
-2*w**3 - w**2 - 2*w
Let x(i) = -6*i**2 + 4*i + 1. Let u(m) = -17*m**2 + 11*m + 3. Give -4*u(g) + 11*x(g).
2*g**2 - 1
Let q(h) = 6*h**3 - 4*h**2 + 3*h. Suppose 4*i - i = 21. Let v(u) be the third derivative of -u**6/30 + u**5/20 - u**4/12 - u**2. Calculate i*v(a) + 5*q(a).
2*a**3 + a**2 + a
Let z = 20 - 7. Let u(p) = -8*p + 7. Let o(k) be the second derivative of 17*k**3/6 - 15*k**2/2 - k. Calculate z*u(a) + 6*o(a).
-2*a + 1
Let q be (-2)/5 + (-8)/5. Let u(j) be the second derivative of j**3/6 + j. Let s(d) = d + 2. Let m(l) = l + 5. Let h be m(-4). Determine h*s(y) + q*u(y).
-y + 2
Let r(g) be the second derivative of g**3 + 2*g**2 - 9*g. Let o(a) = -7*a - 1. Let t(h) = 21*h + 4. Let i(m) = 11*o(m) + 4*t(m). Give -4*i(d) + 5*r(d).
2*d
Let g(t) = -t**3 - t**2 + t + 1. Let f(y) be the third derivative of -y**6/120 + y**5/10 - y**4/4 - y**3 + 47*y**2. Calculate -f(i) - 6*g(i).
7*i**3
Let c = 25 + -18. Let j(p) = -5*p + 1. Let d(w) = 3*w - 1. Give c*d(u) + 4*j(u).
u - 3
Let w(v) be the first derivative of -v**2/2 + 6*v + 2. Let p(z) = 1. Let l = 2 - 4. Let c = l - -7. Give c*p(g) - w(g).
g - 1
Let o(w) = -3*w + 4. Let f(y) = 49*y - 63. Calculate 4*f(z) + 63*o(z).
7*z
Suppose -l = -0*l + 4. Let m = -2 - -7. Let b(u) = -4*u**2 + 5*u - 5. Let v(z) = -3*z**2 + 4*z - 4. Calculate l*b(y) + m*v(y).
y**2
Let v(s) be the first derivative of -3*s**2/2 - 3*s + 4. Let x(l) = -7*l - 7. Give 9*v(b) - 4*x(b).
b + 1
Let c(y) = 9*y + 7. Let a(i) = -4*i - 3. Give -7*a(b) - 3*c(b).
b
Let h(g) = -5*g - 1. Suppose t = -4*t - 10. Let q(a) = -2*a + 1. Let v(o) = -3*o + 3. Let s(d) = t*v(d) + 5*q(d). Give 2*h(l) - 3*s(l).
2*l + 1
Let p(h) = -4*h + 4. Let g(l) be the second derivative of l**3/6 - l**2/2 - 31*l. What is 9*g(i) + 2*p(i)?
i - 1
Let y(b) = 5*b**2 + 3*b + 3. Let k(z) = -6*z**2 - 4*z - 4. Let m = 4 - 6. Let v be 10/3 - m/(-6). Give v*k(p) + 4*y(p).
2*p**2
Let u(w) = w**3 - 9*w**2 + 7*w + 10. Let a be u(8). Let j be -12*a*(-2)/8. Let r(l) = -3*l. Let b(n) = -16*n. Calculate j*b(v) - 33*r(v).
3*v
Let q(b) = -2*b**3 - 6*b**2 - 4*b + 1. Let x(v) = 1 + 6*v - 9*v - 5*v**2 - 5*v**3 + 3*v**3. Calculate 5*q(k) - 6*x(k).
2*k**3 - 2*k - 1
Suppose -4*q = -p - 28, 2*p + p + 12 = 0. Let m be ((-8)/5)/(2/(-5)). Let j(h) = -2*h - m*
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest integer?
28
What is 78275 to the power of 1/6, to the nearest integer?
7
What is the fifth root of 49536 to the nearest integer?
9
What is the third root of 438 to the nearest integer?
8
What is 140100 to the power of 1/7, to the nearest integer?
5
What is the square root of 1321 to the nearest integer?
36
What is the ninth root of 69270 to the nearest integer?
3
What is 89179 to the power of 1/2, to the nearest integer?
299
What is the fifth root of 3778 to the nearest integer?
5
What is 27946 to the power of 1/3, to the nearest integer?
30
What is the fourth root of 6557 to the nearest integer?
9
What is the square root of 851 to the nearest integer?
29
What is 74666 to the power of 1/2, to the nearest integer?
273
What is 6280 to the power of 1/3, to the nearest integer?
18
What is the cube root of 27444 to the nearest integer?
30
What is 8638 to the power of 1/2, to the nearest integer?
93
What is the square root of 125197 to the nearest integer?
354
What is 3047 to the power of 1/4, to the nearest integer?
7
What is the square root of 9744 to the nearest integer?
99
What is 13594 to the power of 1/4, to the nearest integer?
11
What is 72105 to the power of 1/2, to the nearest integer?
269
What is the cube root of 2413 to the nearest integer?
13
What is the square root of 1531 to the nearest integer?
39
What is the ninth root of 64462 to the nearest integer?
3
What is 129633 to the power of 1/3, to the nearest integer?
51
What is 165983 to the power of 1/2, to the nearest integer?
407
What is 24689 to the power of 1/2, to the nearest integer?
157
What is 26045 to the power of 1/4, to the nearest integer?
13
What is 2977 to the power of 1/3, to the nearest integer?
14
What is 7902 to the power of 1/3, to the nearest integer?
20
What is the square root of 542 to the nearest integer?
23
What is 25563 to the power of 1/4, to the nearest integer?
13
What is the cube root of 26839 to the nearest integer?
30
What is 1510 to the power of 1/2, to the nearest integer?
39
What is 147202 to the power of 1/8, to the nearest integer?
4
What is 293 to the power of 1/10, to the nearest integer?
2
What is 52780 to the power of 1/10, to the nearest integer?
3
What is 56621 to the power of 1/5, to the nearest integer?
9
What is 1693 to the power of 1/6, to the nearest integer?
3
What is the ninth root of 6023 to the nearest integer?
3
What is the cube root of 1492 to the nearest integer?
11
What is the square root of 7486 to the nearest integer?
87
What is 53432 to the power of 1/7, to the nearest integer?
5
What is 15519 to the power of 1/2, to the nearest integer?
125
What is the cube root of 33102 to the nearest integer?
32
What is the tenth root of 3011 to the nearest integer?
2
What is 5755 to the power of 1/8, to the nearest integer?
3
What is the square root of 105499 to the nearest integer?
325
What is the square root of 8004 to the nearest integer?
89
What is the third root of 21324 to the nearest integer?
28
What is the cube root of 5903 to the nearest integer?
18
What is the ninth root of 5400 to the nearest integer?
3
What is the third root of 801 to the nearest integer?
9
What is the fifth root of 31093 to the nearest integer?
8
What is the seventh root of 827 to the nearest integer?
3
What is the seventh root of 1933 to the nearest integer?
3
What is the square root of 91497 to the nearest integer?
302
What is the third root of 5483 to the nearest integer?
18
What is 670 to the power of 1/4, to the nearest integer?
5
What is the seventh root of 30 to the nearest integer?
2
What is the fifth root of 170241 to the nearest integer?
11
What is 3529 to the power of 1/2, to the nearest integer?
59
What is the square root of 1796 to the nearest integer?
42
What is the square root of 817 to the nearest integer?
29
What is 15745 to the power of 1/2, to the nearest integer?
125
What is 37526 to the power of 1/6, to the nearest integer?
6
What is 18739 to the power of 1/10, to the nearest integer?
3
What is the seventh root of 24540 to the nearest integer?
4
What is 624 to the power of 1/6, to the nearest integer?
3
What is 4494 to the power of 1/2, to the nearest integer?
67
What is the ninth root of 1487 to the nearest integer?
2
What is the square root of 2439 to the nearest integer?
49
What is the tenth root of 7809 to the nearest integer?
2
What is the square root of 65694 to the nearest integer?
256
What is the square root of 210 to the nearest integer?
14
What is 7766 to the power of 1/2, to the nearest integer?
88
What is the cube root of 4534 to the nearest integer?
17
What is 103697 to the power of 1/2, to the nearest integer?
322
What is 663 to the power of 1/10, to the nearest integer?
2
What is the square root of 417 to the nearest integer?
20
What is the square root of 5851 to the nearest integer?
76
What is 32981 to the power of 1/10, to the nearest integer?
3
What is the square root of 1449 to the nearest integer?
38
What is the square root of 9565 to the nearest integer?
98
What is 39899 to the power of 1/10, to the nearest integer?
3
What is the eighth root of 53574 to the nearest integer?
4
What is the square root of 19289 to the nearest integer?
139
What is the square root of 3340 to the nearest integer?
58
What is 30464 to the power of 1/7, to the nearest integer?
4
What is the third root of 1271 to the nearest integer?
11
What is the square root of 708 to the nearest integer?
27
What is the sixth root of 1265 to the nearest integer?
3
What is 12631 to the power of 1/3, to the nearest integer?
23
What is the square root of 5287 to the nearest integer?
73
What is the cube root of 867 to the nearest integer?
10
What is 7516 to the power of 1/8, to the nearest integer?
3
What is the cube root of 9180 to the nearest integer?
21
What is the third root of 13809 to the nearest integer?
24
What is the cube root of 658 to the nearest integer?
9
What is the seventh root of 4733 to the nearest integer?
3
What is 4325 to the power of 1/8, to the nearest integer?
3
What is 13166 to the power of 1/2, to the nearest integer?
115
What is 1766 to the power of 1/10, to the nearest integer?
2
What is 1176 to the power of 1/5, to the nearest integer?
4
What is the seventh root of 42545 to the nearest integer?
5
What is the cube root of 23485 to the nearest integer?
29
What is the third root of 474 to the nearest integer?
8
What is the third root of 1031 to the nearest integer?
10
What is 61727 to the power of 1/6, to the nearest integer?
6
What is the seventh root of 17026 to the nearest integer?
4
What is the third root of 3630 to the nearest integer?
15
What is the square root of 2803 to the nearest integer?
53
What is the ninth root of 2466 to the nearest integer?
2
What is the tenth root of 45147 to the nearest integer?
3
What is 8327 to the power of 1/3, to the nearest integer?
20
What is the tenth root of 8026 to the nearest integer?
2
What is 497 to the power of 1/2, to the nearest integer?
22
What is the fourth root of 148033 to the nearest integer?
20
What is the fifth root of 4181 to the nearest integer?
5
What is the cube root of 32919 to the nearest integer?
32
What is the third root of 127734 to the nearest integer?
50
What is 7710 to the power of 1/6, to the nearest integer?
4
What is the square root of 7279 to the nearest integer?
85
What is the square root of 2224 to the nearest integer?
47
What is the square root of 1319 to the nearest integer?
36
What is the eighth root of 61750 to the nearest integer?
4
What is the cube root of 2976 to the nearest integer?
14
What is 74281 to the power of 1/9, to the nearest integer?
3
What is the tenth root of 6955 to the nearest integer?
2
What is the fifth root of 6568 to the nearest integer?
6
What is 807 to the power of 1/2, to the nearest integer?
28
What is the fourth root of 5388 to the nearest integer?
9
What is the square root of 264 to the nearest integer?
16
What is the square root of 40757 to the nearest integer?
202
What is 417 to the power of 1/3, to the nearest integer?
7
What is 250 to the power of 1/6, to the nearest integer?
3
What is 778 to the power of 1/4, to the nearest integer?
5
What is the cube root of 48302 to the nearest integer?
36
What is 92296 to the power of
|
{
"pile_set_name": "DM Mathematics"
}
|
-l**2. Calculate t(f(c)).
-1168*c**2
Let j(c) = -2*c**2. Suppose 0 = p - 5*x - 14, -4*x = 4*p + x - 6. Let i(y) = p*y**2 - 29*y**2 + 8*y**2. What is i(j(b))?
-68*b**4
Let b(y) = -82*y**2. Let c(g) = 619*g - 308*g - 311*g + g**2. Determine c(b(m)).
6724*m**4
Let p(k) = 8995*k**2. Let n(u) = -6*u**2 - 4. Determine n(p(l)).
-485460150*l**4 - 4
Let h(m) = m**3 + 29*m**2 + 53*m - 4. Let l be h(-27). Let t(n) = -20*n - l*n + 45*n. Let p(k) = -41*k**2. Determine p(t(c)).
-164*c**2
Let h = 0 + 2. Let c(j) = 10*j + 2 - h. Let i(o) = -5*o**2 + 6. Let t(v) = -9*v**2 + 11. Let w(u) = 11*i(u) - 6*t(u). What is c(w(q))?
-10*q**2
Let j be (9 - 0) + 3 + 2 + -8. Let y(x) = -7 + 7 - j*x**2. Let t(l) = -4*l. Calculate t(y(u)).
24*u**2
Let s(a) = -a**2 - a + 2. Let g(d) = 8*d**2 + 6*d - 12. Let u(v) = -g(v) - 6*s(v). Let z(j) = -24*j + 1. What is u(z(n))?
-1152*n**2 + 96*n - 2
Let v(t) be the second derivative of t**3/6 - t. Let w(u) = 241*u**2 - 645*u**2 + 227*u**2 + 224*u**2. Determine v(w(r)).
47*r**2
Let o(m) = 20*m**2. Let v(p) = -230*p**2 - 231*p**2 - 248*p**2 + 726*p**2. Determine v(o(b)).
6800*b**4
Let f(h) = 526*h**2. Let i(m) be the third derivative of m**4/12 - m**2 + 46*m. What is i(f(k))?
1052*k**2
Let a(i) = 4*i. Let k(m) = m + 1. Let n be (9/(-6))/(1/(-2)). Suppose 5*v - n = 2. Let j(f) = 5*f + 6. Let d(g) = v*j(g) - 6*k(g). Determine d(a(x)).
-4*x
Let o(h) = -11*h**2. Let v(u) = -2*u - 3. Let q(z) = z + 4. Let d(m) = -3*q(m) - 4*v(m). What is o(d(y))?
-275*y**2
Let r(h) = 6464*h**2 - 15*h. Let t(v) = 19*v. Calculate t(r(x)).
122816*x**2 - 285*x
Let i(u) = -13*u**2. Let g(z) = -2. Let w(y) = y**2 + 11. Let t(s) = 12*s**2 + 3*s + 2. Let o be t(-1). Let f(j) = o*g(j) + 2*w(j). What is f(i(x))?
338*x**4
Let t be (9 + 1)*(3/(-5) - -1). Let v(i) = -239 - t*i - 3*i + 239. Let b(k) be the third derivative of -k**5/30 - k**2. Calculate b(v(m)).
-98*m**2
Suppose -4*b + 2733 = -3179. Let o(k) = 3*k - 1478 + b. Let v(y) = 22*y. Give o(v(a)).
66*a
Let y(l) = 4*l. Let u = -201/4 - -101/2. Let o(k) be the second derivative of 0*k**2 + 0 + 6*k + 0*k**3 + u*k**4. Calculate y(o(f)).
12*f**2
Let q(a) = -2*a. Let i(w) be the first derivative of -w**5/15 - 53*w**2/2 - 54. Let t(f) be the second derivative of i(f). Determine q(t(r)).
8*r**2
Let t(d) = 353 - 353 + d. Let y be (-1)/(-4) - (-25)/(-4). Let z(p) = p**2 + 6*p. Let w(k) = y*t(k) + z(k). Let g(j) = 6*j. Calculate w(g(b)).
36*b**2
Let f(t) = 94*t**2. Let z(i) = 121*i + 119*i - 239*i. Determine z(f(w)).
94*w**2
Let t(c) be the second derivative of c**4/4 + 33*c. Let f(m) = 19*m**2. What is f(t(i))?
171*i**4
Let t(s) = s. Let a(r) = 171*r**2 - 22*r. Calculate a(t(n)).
171*n**2 - 22*n
Let g(i) = 14*i**2. Let k(t) be the third derivative of -3*t**4/8 + 150*t**2. Give g(k(y)).
1134*y**2
Let t be (-3*1/(-2))/((-3)/(-2)). Let r(o) = -o**2. Let j(n) = n**2. Let q(g) = t*r(g) - 6*j(g). Let c(h) = 3*h**2. Calculate q(c(m)).
-63*m**4
Suppose 0 = -3*k - 0*k + 6. Let d(v) = -2*v**2 + 0*v**2 + 2*v**k + v**2. Let l(f) be the second derivative of f**4/12 + 29*f. What is d(l(p))?
p**4
Let n(u) be the third derivative of 0 + 5/24*u**4 + 0*u**3 - 7*u + 3*u**2. Let r(m) = 5*m**2 + 0*m**2 + 0*m**2. Determine r(n(o)).
125*o**2
Let m(v) = -6*v**2. Let h(x) be the third derivative of 13*x**5/12 - 3*x**2 - 90. Calculate h(m(c)).
2340*c**4
Let k(d) = 56*d. Let p(h) = -38*h. Calculate p(k(a)).
-2128*a
Suppose 0 = 3*h - 2*h - 1. Let v(d) = 3*d**3 - d**2 + d - 1. Let b be v(h). Let k(y) = y**2 + 0*y**b - 2*y**2. Let x(o) = 9*o. Give k(x(z)).
-81*z**2
Let l(c) = -2*c. Let o(f) = f + 2*f + 28*f**2 - 25*f**2. Calculate l(o(v)).
-6*v**2 - 6*v
Let j(m) = 2*m**2. Let t(a) = -1934783*a. Calculate j(t(d)).
7486770514178*d**2
Let h(y) be the third derivative of -y**5/60 - y**2. Let d = -29 - -211. Let u(z) = z**2 + 182*z + 0*z**2 - d*z. Determine u(h(k)).
k**4
Let b(v) = -2*v + 1. Let n(j) = -85*j + 30. Let m(u) = 30*b(u) - n(u). Let w(k) = 15*k. What is w(m(f))?
375*f
Let l(k) = 2*k**2. Let m(p) = p**2 + 6*p + 23. Let z be m(-17). Let y(h) = 210*h - h**2 - z*h. Calculate l(y(x)).
2*x**4
Let p(t) = 7*t. Let b be -11 + 3 + (4 - -4). Let f(s) be the first derivative of -6 + b*s**2 - 1/3*s**3 + 0*s. Calculate f(p(o)).
-49*o**2
Let i(u) = -6*u**2 + 28*u + 7. Let z(n) = -5*n**2 + 24*n + 6. Let o(f) = -6*i(f) + 7*z(f). Let p(g) = g**2 - 31*g. Calculate p(o(j)).
j**4 - 31*j**2
Let r(z) = -z - 62 + 62. Let b(y) be the first derivative of -3*y**2 + 285. What is b(r(w))?
6*w
Let j(p) be the second derivative of 5*p**4/12 - p - 27. Let a(v) = 38*v. Calculate j(a(l)).
7220*l**2
Let z be 6/((-42)/91)*(-2 - -1). Let o(d) = -8*d**2 - 5*d**2 - z*d**2. Let i(g) = -2*g + 0 + 0. Calculate o(i(w)).
-104*w**2
Let z(s) = -8*s + 519*s - 310 + 310. Let f(j) = j. Determine z(f(r)).
511*r
Let c(b) = -6569*b**2 - 2. Let x(s) = 3*s**2. What is c(x(y))?
-59121*y**4 - 2
Let m(z) = -9*z. Let j(l) = -12308*l. Determine j(m(w)).
110772*w
Suppose 5*l = -5*y + 20, -10*l = -5*l + 4*y - 16. Let b(u) be the second derivative of l*u**2 + 0*u**3 - 1/2*u**4 - u + 0. Let f(a) = -2*a. Give f(b(t)).
12*t**2
Let z be 20/(-8)*-1 + 1/2. Let u(w) = -5*w**2 - 7*w**2 + 4*w**2 + z*w**2. Let j(h) be the second derivative of h**4/6 - 2*h. Determine u(j(l)).
-20*l**4
Let n(j) = -46*j. Let a(f) be the second derivative of -f**4/12 - 125*f. Give n(a(h)).
46*h**2
Let j(i) be the third derivative of -37*i**5/60 + 2*i**2 + 4*i. Let g(m) = -6*m. What is j(g(o))?
-1332*o**2
Suppose 0 = -4*z + 48. Let w(i) = -6*i - 8*i + z*i. Let d(n) = -4*n. Give w(d(r)).
8*r
Let x(v) = 45*v - 10*v - 14*v - 5*v - 17*v. Let n(u) = 497*u. What is x(n(j))?
-497*j
Let k(r) = 1096*r**2 - 2201*r**2 + 1101*r**2. Let h(a) be the first derivative of 4*a**3/3 + 1. Give k(h(w)).
-64*w**4
Let y(x) = 7*x - 1. Let h(g) be the third derivative of -g**5/60 - 2*g**2. Determine y(h(d)).
-7*d**2 - 1
Let t(v) = -54*v**2 + 57*v**2 + 55*v - 172*v. Let x(a) = a**2. What is x(t(q))?
9*q**4 - 702*q**3 + 13689*q**2
Let h(n) be the second derivative of n**3/6 + 283*n. Let d(x) = -5*x + 11. Calculate d(h(s)).
-5*s + 11
Suppose -7*g + 17 - 3 = 0. Let i(l) = 15*l - 11. Let u(n) = 3*n - 2. Let c be 2/(-8) + (-43)/4. Let d(a) = c*u(a) + g*i(a). Let v(s) = s. Determine d(v(q)).
-3*q
Let g(l) = 13*l + 6. Let s(d) = -2*d - 1. Let o(c) = -g(c) - 6*s(c). Let n(b) = -8*b + 8*b - b**2. Calculate n(o(r)).
-r**2
Let z(j) = 3*j. Let n(h) = -h. Let k be n(-3). Let w(p) = -p**3 + 5*p**2 - 14. Let o be w(4). Let l(y) = -y + o*y + y - k*y. What is z(l(c))?
-3*c
Let f(v) = 2*v. Let g(r) be the first derivative of 12*r**2 + 4*r - 93. Give f(g(t)).
48*t + 8
Let s(r) be the first derivative of r**2/2 - 11*r + 2. Let t be s(13). Let p(c) = 2*c**2 - 4*c**2 - t + 2. Let y(l) = 5*l**2. Give p(y(f)).
-50*f**4
Let l(f) = -12*f**2. Suppose -4*j = -9*j + 15. Let z(w) = -j*w**2 + 1063*w - 1063*w. What is z(l(t))?
-432*t**4
Let f(q) = -4*q**2. Let v(o) be the second derivative of 6*o + 0 + 0*o**2 - 5/6*o**3. Determine v(f(g)).
20*g**2
Let u(q) = 2*q**2 - q - 1647. Let y(p) = 4*p. What is y(u(t))?
8*t**2 - 4*t - 6588
Let a(k) = -9*k. Let o(p) = 0*p + 64*p**2 + 0*p + 21 + 58*p**2 - 125*p**2. Give o(a(w)).
-243*w**2 + 21
Let c(d) = 4*d**2. Let i(t) = 7*t**2 - 2. Let k(z) be the second derivative of -11*z**4/6 + 7*z**2/2 - 3*z. Let a(x) = -7*i(x) - 2*k(x). What is c(a(l))?
100*l**4
Let z(m) be the first derivative of -1/12*m**4 + 0*m**3 + 3 + 5/2*m**2 + 0*m. Let b(j) be the second derivative of z(j). Let o(d) = -2*d. Give o(b(t)).
4*t
Let j(v) = 9*v. Let r(k) = -52872*k. Give j(r(y)).
-475848*y
Let n(h) = -3*h**2. Let m = -11 + 13. Let y(p) = -18*p**m + 3*p + 0*p - 3*p. Determine y(n(v)).
-162*v**4
Let x(h) be the third derivative of -h**5/3 + h**2. Let u(n) be the second derivative of n**4/6 + 2*n - 6. Give x(u(k)).
-80*k**4
Let l(d) = 30*d**2 - 5. Let h(p) = -p**2 - 1. Let s(c) = -5*h(c) + l(c). Let f(w) = 6*w. Give f(s(v)).
210*v**2
Let a(p) = -3*p**2. Let b(r) = r - 6709. Give a(b(j)).
-3*j**2 + 40254*j - 135032043
Let d(j) = j**2 + 176*j. Let u(y) = y**2 + 1414*y - 1414*y. Calculate u(d(t)).
t**4 + 352*t**3 + 30976*t**2
Let y(b) = -4 + 4 + 2*b. Let m(j) be the second derivative of 0 + 5/6*j**3 + 0*j**2 + 9*j. What is m(y(d))?
10*d
Let k(c) = 4*c**2. Let n(a) = -6*a**2. Let x(q
|
{
"pile_set_name": "DM Mathematics"
}
|
multiple of 4?
True
Is 71 a multiple of 18?
False
Is 31374 a multiple of 27?
True
Is 46332 a multiple of 52?
True
Is 19 a factor of 389?
False
Is 12 a factor of 14688?
True
Does 61 divide 35136?
True
Is 59826 a multiple of 46?
False
Is 75 a factor of 85350?
True
Is 3 a factor of 600?
True
Is 5852 a multiple of 13?
False
Is 353 a factor of 17297?
True
Does 17 divide 9988?
False
Is 17 a factor of 358?
False
Is 57400 a multiple of 41?
True
Is 46 a factor of 690?
True
Is 86 a factor of 7220?
False
Does 6 divide 504?
True
Is 72 a factor of 1146?
False
Is 10 a factor of 10?
True
Is 5 a factor of 382?
False
Is 740 a multiple of 17?
False
Is 8798 a multiple of 14?
False
Is 13 a factor of 895?
False
Does 19 divide 12094?
False
Is 798 a multiple of 19?
True
Does 13 divide 44460?
True
Is 20 a factor of 1680?
True
Is 40 a factor of 6906?
False
Is 2687 a multiple of 109?
False
Is 3124 a multiple of 77?
False
Is 111 a factor of 72906?
False
Does 15 divide 600?
True
Is 11268 a multiple of 4?
True
Does 54 divide 13824?
True
Is 42 a factor of 2856?
True
Is 5 a factor of 760?
True
Is 12 a factor of 3288?
True
Is 71 a factor of 1207?
True
Is 19 a factor of 703?
True
Does 30 divide 2790?
True
Does 27 divide 54?
True
Is 858 a multiple of 26?
True
Does 10 divide 230?
True
Is 19 a factor of 156?
False
Does 11 divide 2772?
True
Is 26 a factor of 48941?
False
Is 28 a factor of 2072?
True
Is 10 a factor of 38980?
True
Does 7 divide 406?
True
Is 57 a factor of 969?
True
Is 12 a factor of 1838?
False
Is 681 a multiple of 16?
False
Is 5672 a multiple of 8?
True
Is 135 a multiple of 5?
True
Does 8 divide 1440?
True
Is 2208 a multiple of 23?
True
Is 1274 a multiple of 10?
False
Is 2412 a multiple of 69?
False
Is 7 a factor of 2807?
True
Is 1893 a multiple of 70?
False
Is 6 a factor of 3610?
False
Does 4 divide 452?
True
Is 5 a factor of 6380?
True
Is 15 a factor of 15590?
False
Does 14 divide 11634?
True
Is 373 a multiple of 24?
False
Does 35 divide 46810?
False
Is 79 a factor of 6940?
False
Is 212 a factor of 20988?
True
Is 63 a factor of 74284?
False
Is 1077 a multiple of 51?
False
Does 29 divide 511?
False
Is 57 a factor of 4275?
True
Is 26 a factor of 3247?
False
Is 1293 a multiple of 30?
False
Does 37 divide 900?
False
Is 16 a factor of 1536?
True
Does 15 divide 450?
True
Is 36 a factor of 252?
True
Does 125 divide 5125?
True
Does 19 divide 263?
False
Does 4 divide 461?
False
Is 2520 a multiple of 6?
True
Is 4 a factor of 240?
True
Is 9605 a multiple of 14?
False
Is 44 a factor of 2643?
False
Is 21 a factor of 54956?
False
Does 6 divide 1991?
False
Is 81 a multiple of 9?
True
Is 200 a multiple of 4?
True
Is 3790 a multiple of 102?
False
Does 27 divide 11880?
True
Does 37 divide 7257?
False
Is 2659 a multiple of 2?
False
Is 26 a factor of 431?
False
Is 13 a factor of 36478?
True
Is 13305 a multiple of 26?
False
Is 19 a factor of 1159?
True
Does 23 divide 897?
True
Does 35 divide 26813?
False
Is 5 a factor of 725?
True
Is 51 a factor of 6894?
False
Does 2 divide 833?
False
Is 6402 a multiple of 35?
False
Is 44 a factor of 848?
False
Does 12 divide 1702?
False
Is 12 a factor of 183?
False
Is 115 a multiple of 23?
True
Is 48 a factor of 864?
True
Is 20 a factor of 981?
False
Does 171 divide 60338?
False
Is 3240 a multiple of 40?
True
Is 25 a factor of 50911?
False
Is 10 a factor of 1360?
True
Is 59 a factor of 1947?
True
Does 8 divide 296?
True
Is 1653 a multiple of 29?
True
Is 500 a multiple of 50?
True
Is 26864 a multiple of 184?
True
Is 7471 a multiple of 8?
False
Is 4865 a multiple of 7?
True
Is 10000 a multiple of 32?
False
Is 19 a factor of 17290?
True
Is 7 a factor of 2107?
True
Does 10 divide 1971?
False
Does 261 divide 12006?
True
Is 89 a factor of 21805?
True
Does 8 divide 417?
False
Does 15 divide 13717?
False
Does 48 divide 816?
True
Is 77 a factor of 28796?
False
Does 255 divide 20910?
True
Does 11 divide 641?
False
Is 17319 a multiple of 9?
False
Is 441 a multiple of 49?
True
Is 23 a factor of 3933?
True
Does 37 divide 638?
False
Does 52 divide 34667?
False
Is 39 a factor of 1092?
True
Is 126022 a multiple of 21?
False
Is 58 a factor of 4176?
True
Is 18 a factor of 5002?
False
Does 2 divide 1776?
True
Does 12 divide 4368?
True
Does 15 divide 1566?
False
Is 29 a factor of 4640?
True
Is 1820 a multiple of 5?
True
Does 2 divide 240?
True
Is 463 a multiple of 31?
False
Is 12888 a multiple of 8?
True
Is 1105 a multiple of 10?
False
Is 20 a factor of 39300?
True
Is 78 a multiple of 13?
True
Is 9 a factor of 417?
False
Is 5 a factor of 850?
True
Is 3582 a multiple of 22?
False
Is 94 a factor of 6764?
False
Is 23696 a multiple of 80?
False
Is 1359 a multiple of 2?
False
Is 101 a factor of 138106?
False
Does 4 divide 91?
False
Is 15 a factor of 597?
False
Is 176 even?
True
Is 27759 a multiple of 8?
False
Does 4 divide 140?
True
Is 17 a factor of 389?
False
Is 906 a multiple of 8?
False
Does 14 divide 3963?
False
Is 23 a factor of 460?
True
Is 180 a multiple of 45?
True
Is 200 a factor of 5000?
True
Is 4641 a multiple of 11?
False
Is 504 a multiple of 24?
True
Is 96 a multiple of 16?
True
Does 4 divide 13887?
False
Is 28 a factor of 7000?
True
Is 456 a multiple of 45?
False
Is 7 a factor of 93?
False
Is 7 a factor of 1057?
True
Does 18 divide 39924?
True
Does 7 divide 15950?
False
Is 24 a factor of 12704?
False
Is 41 a factor of 10209?
True
Is 8778 a multiple of 266?
True
Is 12 a factor of 4137?
False
Is 6 a factor of 1181?
False
Does 122 divide 3416?
True
Is 15 a factor of 849?
False
Does 26 divide 572?
True
Is 51 a factor of 1953?
False
Does 24 divide 41184?
True
Is 31 a factor of 9322?
False
Does 13 divide 4270?
False
Is 451 a multiple of 17?
False
Is 41052 a multiple of 22?
True
Is 83074 a multiple of 102?
False
Does 218 divide 13516?
True
Does 22 divide 4946?
False
Is 4806 a multiple of 54?
True
Is 12 a factor of 326?
False
Is 30850 a multiple of 7?
False
Is 8712 a multiple of 9?
True
Does 12 divide 9063?
False
Does 11 divide 2452?
False
Is 12 a multiple of 12?
True
Does 154 divide 3080?
True
Does 19 divide 570?
True
Does 22 divide 15972?
True
Does 5 divide 666?
False
Is 28268 a multiple of 37?
True
Does 11 divide 22946?
True
Is 5114 a multiple of 8?
False
Is 5 a factor of 153?
False
Is 10938 a multiple of 12?
False
Is 84 a factor of 2856?
True
Does 89 divide 18475?
False
Is 7 a factor of 41219?
False
Is 2700 a multiple of 15?
True
Does 14 divide 12040?
True
Does 10 divide 10230?
True
Does 47 divide 7943?
True
Does 89 divide 22827?
False
Does 4 divide 179?
False
Is 19872 a multiple of 27?
True
Is 42 a factor of 354?
False
Is 1576 a multiple of 8?
True
Is 4 a factor of 248?
True
Does 85 divide 2465?
True
Is 14 a factor of 1708?
True
Is 7 a factor of 10229?
False
Is 2 a factor of 612?
True
Is 27 a factor of 1944?
True
Does 7 divide 48?
False
Is 5632 even?
True
Is 16280 a multiple of 110?
True
Is 528 a multiple of 11?
True
Is 7144 a multiple of 15?
False
Is 18 a factor of 6282?
True
Is 234 a factor of 19656?
True
Is 13 a factor of 117?
True
Is 4784 a multiple of 23?
True
Does 9 divide 666?
True
Is 12 a factor of 22?
False
Does 339 divide 7062?
False
Does 78 divide 1866?
False
Is 3366 a multiple of 51?
True
Is 46726 a multiple of 71?
False
Does 64 divide 5760?
True
Is 57 a factor of 36993?
True
Is 12 a factor of 2256?
True
Is 400 a multiple of 50?
True
Is 73 a factor of 1314?
True
Is 30 a factor of 7710?
True
Is 6322 a multiple of 113?
False
Does 30 divide 1789?
False
Does 13 divide 642?
False
Does 25 divide 456?
False
Is 521 a multiple of 3?
False
Is 11 a factor of 781?
True
Does 40 divide 303?
False
Is 840 a multiple of 14?
True
Is 60276 a multiple of 12?
True
Is 5215 even?
False
Is 69974 a multiple of 59?
True
Does 4 divide 1847?
False
Does 29 divide 667?
True
Is 107 a multiple of 3?
False
Does 8 divide 560?
True
Does 14 divide 55790?
True
Does 71 divide 6003?
False
Is 26 a factor of 598?
True
Is 11 a factor of 11815?
False
Is 1575 a multiple of 26?
False
Is 58 a factor of 3243?
False
Does 12 divide 4675?
False
Is 10 a factor of 1210?
True
Is 40 a factor of 69720?
True
Does 22 divide 374?
True
Is 9 a factor of 684?
True
Is 3702 a multiple of 4?
False
Does 60 divide 23160?
True
Is 7350 a multiple of 98?
True
Is 48 a factor of 1418?
False
Does 38 divide 1915?
Fa
|
{
"pile_set_name": "DM Mathematics"
}
|
*i**2. Let u be n(5). Find the common denominator of (-564)/u*(-2)/(-12) and 73/4.
12
Suppose -368 = -4*w - 4*l, 2*w = w - 3*l + 88. What is the smallest common multiple of 18 and w?
846
Suppose 7*a + 5 = 2*a. Let x = a + 4. Suppose -x*l - 4 = -5*l. What is the smallest common multiple of 10 and l?
10
Suppose 2*h + 2 - 6 = 0. Suppose 1 = -d, -4*v - 4*d + 6 = -6. Calculate the smallest common multiple of (-5)/(-2)*(v + 14/(-5)) and h.
6
Let k = -367/2856 + 45/136. What is the common denominator of k and 11/14?
84
Let i = -66935/16 + 4186. Calculate the common denominator of i and ((-30)/600)/((-3)/246).
80
Find the common denominator of -4*((-23)/4 - -4) and (-168)/(-15) + (6 - 5).
5
Calculate the lowest common multiple of 88 and (1 + 0)/((-21)/(-672)).
352
Let a = -178 - -186. What is the least common multiple of 32 and a?
32
Let k = 14703/8 + -1833. Let n = 1144685/34 + -33670. What is the common denominator of k and n?
136
Let x = -14 + 23. Let r(m) = -4*m + 44. What is the lowest common multiple of 20 and r(x)?
40
Suppose -3*v + 0*z = -z - 1, z + 5 = -v. Let y = 8 + v. What is the least common multiple of 32 and 3 + -1 + -3 + y?
96
Let t = -3065/168 - -611/24. Calculate the common denominator of t and 8/76 + 431/1140.
420
Let j = -3739 + 33580/9. Calculate the common denominator of 55/183 and j.
549
Let m = 545 + -500. Calculate the least common multiple of 35 and m.
315
Let y(o) = -2*o**2 - 5*o - 3. Let c be y(-4). Find the common denominator of (0 - 262/(-4))*c/(-45) and 29/20.
60
Let h = 14 + -12. Suppose 4*z - h*n = -28, 2*z + 3*z - 2*n + 37 = 0. Calculate the common denominator of 1/5 and z.
5
Let z be 1/(-4)*-6*6/9. What is the common denominator of z/(-2) + (-154)/(-66) and -39/20?
60
Let k = 47501/2444 + -3951/94. Let g = 622/13 + k. What is the common denominator of -73/3 and g?
12
Let y(f) be the first derivative of -f**4/4 - 3*f**3 - 5*f**2 - 8*f + 3. Suppose 7*x + 10 + 46 = 0. Calculate the least common multiple of y(x) and 14.
56
Let o = 2827 + -50927/18. Find the common denominator of o and -93/14.
126
Find the common denominator of -2 + (-642)/(-112) - 27/72 and 95/14.
14
Let u = -720 - -38995/54. Calculate the common denominator of -31/63 and u.
378
What is the least common multiple of 118 and (-1)/(-1) - (-16 + -3)?
1180
Let j(b) = 4*b**2 + 2*b - 2. Let d be j(-2). Calculate the common denominator of 91/10 and d/25 - 398/70.
70
Suppose 0 = 4*l + s - 76, -5*l + s + 104 = -0*l. Suppose l = -4*o + 8*o. What is the least common multiple of o and 7?
35
Let i = -21998/7 + 3137. What is the common denominator of i and -91/148?
1036
Let w = -21 + 61. Suppose -f = f - w. Calculate the lowest common multiple of f and 22.
220
Suppose g - 5*g = 24. Let s(y) = 76*y**2 - 3. Let q be s(5). Find the common denominator of 53/34 and q/462 - (-2)/g.
374
Let o(y) = -y**2 - 5*y + 16. Let w be o(-7). Let f be (-6 - -3)/(-3) + w. Suppose 24 - 135 = -f*x. Calculate the common denominator of -11/9 and x.
9
Let y be -574 + 2*(-5 + 6). Calculate the common denominator of 0 + -1*y/(-24) and (-15)/(-24)*(-9 - 0).
24
Let q(r) = r + 12. Let h be q(6). Suppose -3*l - s = -16 + 4, -3*s = 3*l - h. Calculate the least common multiple of l - (-4 - (-4 - -7)) and 6.
30
Let u = 29 + -11. Let j = -27 + u. Find the common denominator of j/45 + 866/(-320) and 37/20.
160
Let n(f) = -f**3 + 27*f**2 - 47*f - 61. What is the lowest common multiple of n(25) and 42?
42
Suppose -14 + 134 = -5*m. What is the common denominator of 29/22 and (462/m)/(38/(-4))?
418
Let p = 46 + 94. Find the common denominator of -77/12 and (-485)/p - 2/7.
12
Suppose -z + 2*z = -4*k - 2, -3*z - 70 = -4*k. Calculate the common denominator of (2/20)/(z/(-1305)) and 117/10.
20
Suppose 2*g - 907 = 6*g + r, 5*g + 1142 = -4*r. Calculate the common denominator of (9/(-18))/((-6)/g) and 4/3.
6
Let v(u) = u**3 - 5*u**2 + 2*u - 3. Let b(r) = 2*r**2 + 4*r - 1. Let x be b(-3). Let t(w) = -w**2 + 7*w + 5. What is the least common multiple of v(x) and t(4)?
119
Let r(j) = j**3 - 14*j**2 + 13*j + 5. Let s be -2*(4 + 84/(-8)). Calculate the least common multiple of r(s) and 2.
10
What is the common denominator of 151/18 and (3 - 159/51) + (-516)/1683?
198
Let h be 88/5 - 2/(-5). Suppose 54 = -5*r - 3*f, -4*f = -4*r + 19 - 75. Find the common denominator of r/h - (-403)/60 and 11/18.
180
Calculate the common denominator of -31/30 and ((-256)/(-56) - 6)/(5 - 3).
210
Calculate the common denominator of (-18 - 4)*2/(-40) and 17/32.
160
Suppose 26 = 3*s + 5*i, 5*i - 7 - 7 = 3*s. Suppose 7*g - 4*g - s*p = 72, 2*g - 2*p = 50. What is the smallest common multiple of 22 and g?
22
Let b(n) = -13*n + 5. Let w be b(-3). Suppose 0 = -m - w + 71. Calculate the smallest common multiple of m and 18.
54
Let r(b) = 8*b + 140. Calculate the common denominator of 1 + 0 - 61/(-4) and r(-16).
4
Suppose -4*p = -9*p - 2*s - 13, -4*p + 4*s - 16 = 0. Find the common denominator of (-266)/(-20) - (p + 6) and -5/16.
80
Let i = -2/1387 + 31905/2774. Find the common denominator of i and (2085/330 + 2/11)/(-6).
12
Let v be (-18 - -2)/(3/(-6)). Let w = v + -22. Let n(b) = -b**2 - 31*b + 18. What is the least common multiple of w and n(-31)?
90
What is the lowest common multiple of 3 - (2 - -18)*230/(-8) and 16?
4624
Suppose -38 = -2*h - 4*j, -5*h + 93 = -4*j + 26. Calculate the least common multiple of (-10)/(-4)*(h - 5) + 3 and 16.
112
Let l be 56/(-140) + (-33)/(-5). Let d = 142/15 + l. Calculate the common denominator of (-2)/(-5) - 373/20 and d.
12
Let w = 2 + 0. Suppose -w*s = -4*s + 10. Let i = 32 + -22. Calculate the least common multiple of s and i.
10
Let x(s) = 21*s - 9. Let r be x(8). Calculate the common denominator of r*3/54 - 3 and -101/16.
48
Suppose 7924 = 67*y - 53*y. What is the smallest common multiple of 6 and y?
1698
Suppose 0 = -3*t - 2*o + 110, 29*t + 60 = 30*t - 4*o. Calculate the lowest common multiple of t and 45.
360
Let d = 1426 + -20033/14. What is the common denominator of 81/62 and d?
434
Let j be (-1)/1663*(1 - 13). Let d = -181051/29934 - j. Calculate the common denominator of d and ((-285)/12)/((-6)/(-4)).
18
Let l = 2398/21 - 951/7. Find the common denominator of 1/35 and l.
105
Let s = -7/1300 + -17609/49400. What is the common denominator of s and -37/12?
456
Suppose 3*k - 2*o + 3*o - 11 = 0, 5*k + o - 15 = 0. Suppose -4*a - 12 = -k*a. Calculate the common denominator of 2*(3 - 55/a) and 75/2.
6
Suppose 3000 = -5*d - 5*a + 14670, 2*d - 5*a - 4661 = 0. Let j = -32635/14 + d. What is the common denominator of j and ((-2)/4)/((-1890)/34398)?
70
Let h be 5/((-5)/4) - 716326. Let o be h/176 - 12/(-66). Let g = -4080 - o. What is the common denominator of g and -83/8?
8
Suppose -4*v + u + 694 = 55, -156 = -v + u. Calculate the lowest common multiple of 10 and v.
1610
Suppose z = 3*h - 2*z - 489, 3*h + 3*z - 471 = 0. What is the least common multiple of h and 40?
160
Suppose 0*o = -4*d + 5*o - 320, -80 = d + 5*o. Let j = 22241/8 - 2784. What is the common denominator of j and 8/40 + (-114)/d?
8
Let x = 41 - 38. Calculate the lowest common multiple of 33 and x.
33
Let b = -1/421 - -36635/3368. Calculate the common denominator of b and 55/16.
16
Let i(n) = -2*n + 1. Let d be i(5). Let y = d + 34. What is the smallest common multiple of 2 and (70/y)/(4/10)?
14
Suppose 0 = -0*m + 2*m. Suppose m*k + 5*g = -2*k + 28, 0 = -3*g. What is the smallest common multiple of k and ((-10)/(-3))/(6/36)?
140
Let m = -3881/10 + 390. Calculate the common denominator of m and 141/(-20) + 2/8.
10
Suppose 0 = -52*i + 8769 - 2581. What is the lowest common multiple of i and 49?
833
Suppose -22 = -3*m + 4*q, 0 = 5*m + 2*q + q + 2. Suppose 22*c + 617 = -353*c + 3242. What is the smallest common multiple of m and c?
14
Let i(w) = -2*w**2 + 30*w - 27. Let t be i(14). Find the common denominator of -47/33 and ((-91)/42)/(-13)*(-88 - t).
66
Suppose 9*o - 21*o = -900. What is the common denominator of (o/(-354))/1*(1 + -3) and -30?
59
Let r = 772 + -767. What is the least common multiple of r and 20?
20
Let o(a) = 112*a - 12. Calculate the smallest common multiple of o(8) and 10.
4420
Let n = 5/244 + 3833/488. Find the common denominator of n and 15/52.
104
Calculate the lowest common multiple of (-3)/21 - ((-680)/(-14))/(-4) and 30.
6
|
{
"pile_set_name": "DM Mathematics"
}
|
(z)).
3*z**4
Let f(b) = b. Let j(z) = z**2 - z + 1. Let r(p) = -7*p**2 - p + 1. Let y(l) = 2*j(l) - 2*r(l). Determine y(f(a)).
16*a**2
Let b(r) = -3*r + 9. Let w(l) = -2*l. Give w(b(o)).
6*o - 18
Let w(b) = 2*b - b + 2*b - 2*b. Let x(q) = -2*q**2. Calculate x(w(i)).
-2*i**2
Let f(v) be the first derivative of -2*v**3/3 - 2. Let m(g) = 3*g**2. What is m(f(b))?
12*b**4
Let j(d) = 434*d. Let z(b) = 6*b**2. Determine z(j(s)).
1130136*s**2
Let b(f) = -2*f. Suppose 4*s - 8*s = -8. Let p(n) = 27*n + 5*n**s - 27*n. Give b(p(o)).
-10*o**2
Let o(c) = 2*c**2. Suppose -z + 1 = 0, 2 = 2*j - 0*j - 2*z. Let n(k) = -2*k + j - 2. Determine o(n(p)).
8*p**2
Let k(u) = -2*u**2 + 2*u. Let j(v) = -5*v. What is j(k(g))?
10*g**2 - 10*g
Let f(d) = 2*d**2. Suppose -4*w = 16, 3*w + 0 = z - 14. Let i(b) = -b**3 - 9*b**2 - 7*b + 10. Let v be i(-8). Let p(r) = -r**z + 2*r**2 + 2*r**v. Give p(f(x)).
12*x**4
Let g(l) = 11*l**2 + 9*l**2 - 12*l**2. Let a(i) = -i**2. What is g(a(y))?
8*y**4
Let q(h) = 462 - 5*h - 462. Let m(s) = -5*s. Calculate m(q(l)).
25*l
Let o(x) be the third derivative of -x**7/5040 - x**5/60 - x**2. Let q(f) be the third derivative of o(f). Let b(c) = 2 + 3*c - 5*c - 2. Calculate b(q(j)).
2*j
Let h(l) = l. Suppose 2*k + 4*q - 26 = 0, k - 2*q = q - 7. Let a = k - 3. Let u(j) = -2*j**a - j**2 + j**2. Give u(h(d)).
-2*d**2
Let p(y) = 51*y. Let b(u) = -7*u. Let s(x) = 2*x. Let a(h) = -b(h) - 4*s(h). What is p(a(d))?
-51*d
Let b(g) = 5*g. Let r(d) = 3011*d. What is b(r(i))?
15055*i
Let n(h) = -4*h**2. Let z be (1 - 14/(-6))*-3. Let c be (-8)/(-12) + z/(-3). Let g(l) = -5*l + 2 - 2 + c*l. What is g(n(q))?
4*q**2
Let l(t) be the third derivative of -t**5/20 - 4*t**2. Let k(i) = -i**2 - i + 1. Let x(a) = -14*a**2 - 12*a + 12. Let w(n) = -12*k(n) + x(n). What is w(l(m))?
-18*m**4
Let u(l) be the third derivative of -7*l**4/12 - 4*l**2. Let a(f) = 70*f. Let m(r) = 4*a(r) + 21*u(r). Let g(o) = -o**2. Give g(m(q)).
-196*q**2
Let y(r) be the third derivative of -r**5/30 + 4*r**2. Let i be ((-1)/2)/((-2)/20). Let q(f) = -f - i*f + 4*f. What is y(q(a))?
-8*a**2
Let b(n) be the third derivative of 1/24*n**4 + 0*n**3 + 0 + 0*n - 2*n**2. Let i(k) = 8*k + 10. Let g(d) = -d - 1. Let u(a) = 10*g(a) + i(a). Determine b(u(m)).
-2*m
Let x(a) be the second derivative of 2*a + 0*a**2 + 1/3*a**3 + 0. Let q(g) = -6*g + 8. Let z(n) = -4*n + 5. Let b(p) = 5*q(p) - 8*z(p). Calculate x(b(o)).
4*o
Let b(s) = s**2. Let x(z) = z**3 + 9*z**2 + 7*z - 7. Let g be x(-8). Let c be g + 3 + -1*2. Let u(r) = -c*r**2 + 5*r - 5*r. What is b(u(n))?
4*n**4
Let r(x) = x - 5*x - 3*x. Let d(a) = -2*a + 5. Let i(s) = -s + 2. Let v(y) = 2*d(y) - 5*i(y). What is r(v(p))?
-7*p
Let m(k) = -1 + 9*k + 4 - 2 - 3. Let g(s) = -3*s**2. Determine m(g(b)).
-27*b**2 - 2
Let x(i) = -8*i**2 + 10. Let r(t) = 0*t**2 - 2*t**2 + 3*t**2 - 1. Let a(y) = 10*r(y) + x(y). Let b(w) = 4 + 2*w - 4. Give b(a(f)).
4*f**2
Let o(m) = 5 + 7 - 103*m**2 - 12. Let j(x) = x. Give j(o(h)).
-103*h**2
Let f(q) = -7*q. Let x(n) be the third derivative of -n**4/6 + 22*n**2. Determine x(f(p)).
28*p
Let l(m) = 9*m. Let w(h) = -157*h**2. Calculate l(w(k)).
-1413*k**2
Let o(c) = 3*c. Let r(p) = 547*p**2. What is r(o(q))?
4923*q**2
Let s(z) = -10*z. Let t(y) be the second derivative of 2*y - 1/3*y**3 + 0*y**2 + 0. Calculate t(s(f)).
20*f
Suppose 0 = 4*u - 3*u - 3. Let r(t) = 5*t - 3*t - u*t. Let a(f) = -f**2 + 5*f**2 + 3*f**2. Calculate r(a(n)).
-7*n**2
Let s(d) = -4*d**2 - 2. Let u(v) = 9*v**2 + 5. Let c(x) = -5*s(x) - 2*u(x). Let g(q) = -4*q. Determine g(c(i)).
-8*i**2
Let w(f) = f. Let z be -8 - -9 - (1 + -2). Let o(r) be the second derivative of 0*r**z + 1/2*r**3 + 0 - r. Calculate o(w(p)).
3*p
Let x be (12/30)/((-6)/(-5)). Let n(j) be the first derivative of 0*j + x*j**3 - 2 + 0*j**2. Let r(d) = -2*d. Give n(r(a)).
4*a**2
Let g(z) = -z**2. Let h = 1 - 0. Let w(l) = 4 + 5 + h - l - 1. Let y(k) = 2. Let t(u) = 2*w(u) - 9*y(u). What is g(t(m))?
-4*m**2
Let h(i) be the second derivative of i**4/2 - 8*i. Let v(s) = 3*s. What is v(h(w))?
18*w**2
Let u(g) = -7*g + 2. Let r(c) = -315*c + 91. Let z(p) = -6*r(p) + 273*u(p). Let h(d) = 2*d**2. Give h(z(b)).
882*b**2
Let d(z) = -6*z**2 - 7*z**2 + 14*z**2. Let w(o) = 2*o**2. Give d(w(n)).
4*n**4
Let p(d) = d. Let c(g) = 2*g**2 - 120*g. Determine c(p(a)).
2*a**2 - 120*a
Suppose -o - o = -4. Let n(q) = o*q**2 - 8*q**2 + 4*q**2. Let k(r) = 4*r**2. Give k(n(g)).
16*g**4
Let y(g) = -5*g. Suppose 3*f + 4 = -5. Let l(w) = 2*w**2 + 4*w + 4. Let z(o) = 2*o**2 + 3*o + 3. Let u(m) = f*l(m) + 4*z(m). Calculate u(y(j)).
50*j**2
Let b(d) = -5*d + 3. Let n(g) = 6*g - 4. Let p(h) = -4*b(h) - 3*n(h). Let u(c) = c - 12. Give p(u(y)).
2*y - 24
Let d(p) be the first derivative of -p**3/3 - 22. Let l(u) = 2*u**2 - 6*u - 6. Let g(t) = -t - 1. Let b(x) = -24*g(x) + 4*l(x). Calculate b(d(y)).
8*y**4
Let v(z) = 0 - 2 - z**2 + 4*z - 6*z. Let b(n) = -2*n**2 - 5*n - 5. Let d(w) = 2*b(w) - 5*v(w). Let i(h) = 9*h**2. Determine d(i(p)).
81*p**4
Let n(h) be the first derivative of 2*h**3/3 + 1. Let x be 45/18 + (-1)/2. Let y(b) = 4*b**2 - b**x - 2*b**2 - 2*b**2. Give y(n(a)).
-4*a**4
Let o(g) be the third derivative of g**5/30 - 23*g**2. Let z(l) = 6*l**2 - 17*l - 17. Let r(p) = -p**2 + 3*p + 3. Let u(c) = 34*r(c) + 6*z(c). What is u(o(t))?
8*t**4
Let o(z) = z. Let k(m) = 4*m**2 + 3*m. Give k(o(b)).
4*b**2 + 3*b
Let u(s) = 2*s**2 - 3*s**2 + 3*s**2. Let i(a) = 8*a + 5. Let j(k) = -33*k - 21. Let t(g) = 21*i(g) + 5*j(g). Give t(u(h)).
6*h**2
Let j(r) = -4*r. Let z(q) = 621*q**2. What is j(z(b))?
-2484*b**2
Let y(c) = 4*c**2 - 3*c**2 + 5*c**2 + 11*c**2. Let q(z) = -2*z**2 - 3*z**2 + 3*z**2. Give q(y(v)).
-578*v**4
Let q(o) = o**3 - 3*o**2 + 3*o - 1. Let t be q(2). Let u(v) = 3 - t + 2*v - 2. Let c(i) = -4*i**2. Determine c(u(y)).
-16*y**2
Let q(j) = 26*j. Let c(d) = -28*d - 1. Give c(q(x)).
-728*x - 1
Let n(p) = p**2. Let h(z) be the third derivative of -5*z**4/3 - z**2 + 17*z. Calculate n(h(f)).
1600*f**2
Let a(m) be the second derivative of m**4/12 - 2*m. Let c(d) = -2*d + 5 - 5. Give a(c(b)).
4*b**2
Let g(j) = -260*j. Let p(b) = 24*b. Calculate g(p(y)).
-6240*y
Let v(p) = 3*p**2. Let r(j) be the first derivative of -1/6*j**4 + 2*j + 0*j**3 + 0*j**2 - 2. Let h(m) be the first derivative of r(m). Give v(h(c)).
12*c**4
Let h(k) = -k. Let j(i) = -i**2 + i + 63. Determine j(h(a)).
-a**2 - a + 63
Let o(f) = f. Let a = -6 - -4. Let x(w) = w**2 + 2*w + 2. Let g(s) = 3*s**2 + 9*s + 9. Let k(n) = a*g(n) + 9*x(n). What is o(k(y))?
3*y**2
Let q(l) = l. Let x(y) be the third derivative of -y**5/30 + 17*y**2. Determine x(q(b)).
-2*b**2
Let j(l) = -5*l. Let z = 12 + -9. Let w(t) = -3*t - 2*t + z*t + 0*t. Give w(j(y)).
10*y
Let g(m) = -2*m - 3. Let x(y) = -1. Let d(h) = -g(h) + 3*x(h). Let b(p) = -p**2 + 3*p**2 + 0*p**2. What is b(d(k))?
8*k**2
Let d(f) = -5*f - 2. Let z(u) = -u - 1. Let j(c) = 3*d(c) - 6*z(c). Let b(n) = -2*n. Give b(j(k)).
18*k
Let l(a) = 5*a. Let v(i) = i + 6. Let q be v(-3). Let d(f) = -q*f**2 - 3*f**2 + 4*f**2. Give l(d(k)).
-10*k**2
Let m(a) = 42*a**2. Let v(s) = -16*s. Determine m(v(d)).
10752*d**2
Suppose 5 = 5*l - 5. Let q(g) = -g**l - g**2 + 3*g**2. Let v(h) = -39 + 22 + 17 - h. Calculate q(v(a)).
a**2
Let w(h) = -8*h**2 + 24*h - 24. Let u(z) = -z + 1. Let i(q) = 48*u(q) + 2*w(q). Let k(f) = f. Determine i(k(p)).
-16*p**2
Let r(b) = 3*b. Let t(s) be the third derivative of s**4/8 + 6*s**2. Calculate r(t(w)).
9*w
Let o(m) = -8*m**2 - 3*m. Let i(g) = 360*g**2 + 136*g. Let b(z) = -6*i(z) - 272*o(z). Let a(s) = 2*s. What is b(a(u))?
64*u**2
Let f(q) = -6*q. Suppose -15 + 3 = -3*b. Let g(d) = 2 + d + 2 - b. Determine g(f(a)).
-6*a
Let d(p) be the first derivative of p**5/30 + 3*p**2/2 - 4. Let z(m) be the second derivative of d(m). Let i(w) = 9*w. Give z(i(u)).
162*u**2
Let r(g) be the second derivative of -g**5/60 - g**3/6 + 4*g. Let x(z) be the second derivative of r(z). Let u(s) = s. Give u(x(f)).
-2*f
Let x(f) = -4 + 4 - 3*f**2. Let h(q) = q + 24. Let w be h(0). Let z(g) = -w*g - g**2 + 24*g. What is z(x(s))?
-9*s**4
Let k(x) = -5*x. Let m(f) = 3*f. Let a(p) = -2*p. Let j(y) = 3*a(y) + 4*m(y). Give k(j(i)).
-30*i
Let t(f) = -2*f. Let z(k) = k**2 + 102. Determine z(t(c)).
4*c**2 + 102
Let m(c) = 2*c**2. Let b(l) = 5*l. Give b
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose -3*c = -n, 2*v + 43 = c + 150. Is v composite?
True
Let t be (6/9)/(2/9). Suppose 3*u = -t, 0 = -a - 3*u - u + 58. Suppose -173 = -3*q - a. Is q prime?
True
Let z(j) = j**3 + 14*j**2 - 11*j - 13. Is z(-10) composite?
True
Let c = 379 + 276. Is c a composite number?
True
Let y(n) = n**3 + 8*n**2 - 2*n - 2. Suppose -4*i - 2 - 30 = 0. Let m be y(i). Is ((-26)/(-3))/(m/105) a prime number?
False
Let l(g) = 5*g**3 - 11*g**2 + 6*g + 2. Let w(b) = -9*b**3 + 21*b**2 - 11*b - 4. Let a(u) = -5*l(u) - 3*w(u). Is a(5) a composite number?
False
Let w(k) = -10*k - 9. Is w(-22) composite?
False
Suppose -2*y - m + 5163 = -0*y, m = -3*y + 7742. Is y a composite number?
False
Suppose 158 = 8*d - 4314. Is d a composite number?
True
Let y = 0 + 4. Let g(v) = 133*v + 6. Let b be g(3). Suppose -y*n = -0*n + 3*x - 512, 0 = -3*n + 3*x + b. Is n composite?
False
Suppose 2*y = 2*u - 2040, y - 3048 = 4*y + 3*u. Let w = 1511 + y. Is w composite?
True
Suppose -2*p + 1135 = -351. Is p prime?
True
Suppose -3*n - 2*n - 2*g = -285, 3*n - 4*g = 145. Is n a composite number?
True
Let d(r) = r - 13. Let v be d(7). Let a = v + 6. Let y(w) = w + 10. Is y(a) a composite number?
True
Let f be ((-3)/(-3))/(3/441). Suppose -377 = -2*t + f. Suppose 2*i + 45 + 80 = j, -2*j + i = -t. Is j composite?
True
Let p(k) = k - 1. Let n be p(3). Suppose 0*o + o + 238 = n*r, 0 = 5*o + 10. Suppose 5*s + 4*v - r = 0, -4*s - 8*v = -5*v - 94. Is s a prime number?
False
Let f(d) = -153*d + 1. Suppose 3*b - 3*m = -7*m - 19, 3*m = -2*b - 14. Let s be f(b). Let o = -77 + s. Is o composite?
True
Suppose -2*a + 11 = -19. Suppose -a = -5*k - 0. Is -2 + k + -2 - -8 a prime number?
True
Let r(s) = 81*s - 2. Let v(j) = j + 1. Let y(g) = -r(g) - 3*v(g). Is y(-1) a composite number?
False
Let w(a) = 2*a - 9. Let r be w(7). Suppose 0 = -3*f + 5*m + 226, -2*m = -r*f + 202 + 162. Suppose 5*v = 23 + f. Is v prime?
True
Let h(g) = 11*g + 24. Let r = -28 + 45. Is h(r) a prime number?
True
Suppose -4*f = -2*a + 1786, 2*f = 4*a + f - 3600. Is a prime?
False
Let c(j) = -1. Let u(n) = -10*n - 3. Let x(v) = -4*c(v) - u(v). Is x(6) composite?
False
Suppose -5*p - 3*d + 9 = 0, 2*p = -2*p - d + 10. Suppose -5*r - 618 = -p*x, -3*x + 2*r + 1049 = 2*x. Is x a composite number?
False
Let p(t) be the third derivative of t**4/2 - 5*t**3/3 + 2*t**2. Let i be p(7). Suppose 2*j - i = 3*v, 3*v - 5 = j - 42. Is j prime?
True
Suppose 0 = 4*y - q - 6, -y = -0*q - 5*q - 11. Is 467 - ((-1)/1 - y) a composite number?
True
Is (574/4)/(1/2) a prime number?
False
Suppose 4*b - 9*b = 20. Let o = 0 - b. Suppose 3*r - 439 = -4*f, o*f = 3*r - 263 - 192. Is r composite?
False
Suppose 0 = -4*g + 15 - 3. Suppose -21 = g*j - 0*j. Is (-1419)/(-7) - 2/j a prime number?
False
Suppose 7*w - 3*i - 251 = 2*w, -4*w = -2*i - 202. Suppose -12 + 2 = s - 5*l, 5*s + 3*l = -78. Let c = w + s. Is c a prime number?
True
Is (-1)/(-4 - 55884/(-13972)) prime?
False
Let z = -334 + 627. Is z prime?
True
Let w(o) = -o**3 - 2*o - 5. Is w(-6) a prime number?
True
Let s(l) be the first derivative of -203*l**2/2 - 6*l + 2. Let j be s(-4). Suppose 2*z = 4*n - j, -2*z = -n - 6*z + 215. Is n a prime number?
False
Let f = 170 + 33. Is f a prime number?
False
Is (-1)/(-2)*(-5 - -289) composite?
True
Let p = 0 + 4. Suppose -10 = h + p*h. Is h + 22 - 6/(-3) prime?
False
Suppose 5*h + 548 = -3*i + 2968, -i - 5 = 0. Is h a composite number?
False
Let x(q) = -65*q + 47. Is x(-18) a prime number?
True
Let d(x) = -x**2 - 5*x - 4. Let t be d(-3). Suppose t*a - 3*s = 9, -8 = -a + 4*s - 1. Suppose -8 + a = -g, k - 3*g + 8 = 0. Is k a composite number?
False
Let b(u) = u + 6. Let j be b(-4). Suppose j*p = -2*p + 844. Is p prime?
True
Let v be 9/6 + 631/2. Suppose 2*i + 2*r = 592, 4*i + 5*r - v = 870. Is i a composite number?
False
Suppose 0 = a - 36 - 164. Let o = 334 - a. Is o a prime number?
False
Let j be (-2 + 4)*-1 + 4. Suppose -2*q - j*o + 16 = q, -2 = -o. Suppose -w = q*w - 185. Is w a composite number?
False
Suppose 460 = 4*c - 2*f, 6*c - 4*c + 5*f - 230 = 0. Suppose 3*b = 4*b - c. Is b composite?
True
Let d = -102 - -181. Is d prime?
True
Suppose 2 = 2*v + 4*w - 6, -3*w + 6 = 3*v. Suppose v = -3*y + 180 + 471. Is y prime?
False
Let k(b) = b**2 - 5*b - 4. Let a be k(5). Let d be 1 + -1 + a/(-2). Is d*(0 - (2 + -3)) a composite number?
False
Let l(h) = -h - 9. Let s be l(-11). Suppose -3*x + 396 = -3*o, -4*x + s*o = -488 - 30. Is x prime?
True
Suppose 2*v + 94 - 30 = 0. Suppose 0 = -c - c + 138. Let y = v + c. Is y prime?
True
Let f be ((-3)/6)/(3/12). Is (0 + f - -63) + -3 prime?
False
Suppose 4*h - 2*v = -79 - 39, v = 3. Let s = 71 + h. Is s composite?
False
Let g = 2 - -5. Is g a composite number?
False
Suppose d = -3*d + 936. Suppose 6*b + d = 3*b. Is (-2 + 1)/(2/b) prime?
False
Let b be 2 - (-36 - -3)*1. Let h be b/(-28) + (-1)/(-4). Is h*5*(-74)/10 a composite number?
False
Let k(z) = z**3 - 14*z**2 + 12*z + 15. Let l be k(13). Let r = 9 - l. Is r a prime number?
True
Let l = -172 + 255. Is l a prime number?
True
Suppose 131 = 3*h - 5*p, 2*p - 163 = -4*h - 3*p. Suppose 3*w + 23 = 4*r, -h = w - 5*r - 16. Let y(x) = -192*x - 1. Is y(w) a composite number?
False
Let s(o) = -79*o**2. Let t be s(-1). Let z = -143 - t. Let r = 97 + z. Is r composite?
True
Suppose -3*v + 16 = -20. Let c = -10 + v. Suppose c*q - 112 = -38. Is q a composite number?
False
Let f = -297 - -785. Let q = 21 + f. Is q a composite number?
False
Suppose -3*n = -2*n - m - 2335, 3*m = 0. Is n a prime number?
False
Suppose 2*m - 1648 = 2*p + 3580, 5193 = 2*m + 5*p. Is m prime?
True
Let z(s) = -s - 5. Let r be z(-6). Let a(n) = 6*n - n**2 - 2 + r + 6*n. Is a(8) a prime number?
True
Is ((-852)/(-16))/(3/12) a composite number?
True
Let n(g) = -g**3 + 7*g**2 + g - 7. Let h be n(7). Suppose h = -a + 2 - 4. Is (a/(-4))/((-4)/(-1016)) a prime number?
True
Let h be -5*(0 + (-6)/(-5)). Is (-340)/(-16) + h/(-8) a prime number?
False
Let y(a) = 4*a**2 - a + 9. Let i(n) be the first derivative of n**3 - n**2/2 + 10*n + 2. Let j(s) = 5*i(s) - 4*y(s). Is j(0) a prime number?
False
Let t = -38 - -83. Let x = t - -44. Is x prime?
True
Let n = -1209 - -1892. Is n prime?
True
Let m(u) = 23*u**2 + 20*u + 8. Let g(z) = -8*z**2 - 7*z - 3. Let p(t) = 11*g(t) + 4*m(t). Is p(6) prime?
False
Let j(u) = u**2 + 15*u + 5. Is j(7) a composite number?
True
Suppose 0 = -3*y + 5 + 4. Suppose -3*c - 2 = -2*c. Is 43/y - c/(-6) prime?
False
Suppose 2*k + u - 166 = 342, -5*k + 1275 = 5*u. Let b = k - 134. Is b a composite number?
True
Suppose r - 23 = 308. Is r composite?
False
Let r = 1838 + -841. Is r a composite number?
False
Suppose -2*v - 1713 + 435 = -2*s, -5*s - v + 3171 = 0. Is s prime?
False
Suppose -o = -2*n + 4*o + 3, -5*n = o - 48. Let f be 0*(n/6 - 1). Suppose 6*l - 5*l - 21 = f. Is l composite?
True
Suppose 3*x - 3 = 0, 5*x = l - 1413 - 603. Is l composite?
True
Let q = 15 + -10. Suppose -115 = -2*v - q*m, -2*m = -5*v + 2*m + 205. Suppose 4*o - 143 = v. Is o prime?
True
Suppose 10*j = 6*j + 1924. Is j prime?
False
Let t(x) = x**2 + 2*x - 5. Let l = -1 - -10. Suppose 3*m - l = 3. Is t(m) composite?
False
Let h(f) = f**3 - 2*f + 7. Is h(6) prime?
True
Let j(r) = 265*r**2 - 4*r + 3. Is j(2) composite?
True
Suppose -1784 = -4*u - p, 1085 - 199 = 2*u + 2*p. Is u a prime number?
False
Suppose 4*q - 2*y = 0, 4*q + y - 4 = 2*y. Suppose -258 = -q*x + 316. Is x composite?
True
Let s = 96 + 146. Suppose -2*x + 484 + s = 0. Suppose 0 = -0*n + 3*n - x. Is n a prime number?
False
Let l(w) = -w. Let p(z) = 16*z + 5. Let o(n) = -2*l(n) + p(n). Is o(6) composite?
False
Let l(m) be the third derivative of m**6/45 + m**5/20 - m**4/24 - m**3/6 + m**2. Let v(j) be the first derivative of l(j). Is v(-6) prime?
True
Let d(x) = -x**3 - 5*x**2 - x + 1. Let r be d(-7). Let j = 270 - r. Suppose -21 - j = -5*y. Is y prime?
True
Suppose -2*x - m + 178 = 0, -m - 352 = -4*x - 4*m. Is x composite?
True
Suppose 5*w + m - 1937 = 0, -11 + 3 = -4*m. Suppose -5*f + w = h - 0*h, 302 = 4*f - 3*h. Is f composite?
True
Suppose -67 = 5*b - 4*r - 1142, -1080 = -5*b + 5*r. Is b a composite number?
False
Let h = 0 + 0. Let x(n) = -n**3 - n**2 - n - 8. Let d be x(h). Let o(y) = -y**3 - 6*y**2 - 8*y - 7. Is o(d) composite?
True
Let h(n) be the first derivative of 11*n**2/
|
{
"pile_set_name": "DM Mathematics"
}
|
-s*u + 6 for o.
0
Let z(l) = -65*l - 258. Let j be z(-4). Solve -a - j*u - 3 = -0, 0 = -2*u for a.
-3
Let u(a) = -12*a - 6. Let r be u(8). Let l = 107 + r. Solve -13 = -5*n + 2*o, -o - 2 = l*n - 3 for n.
1
Let t = -94 - -99. Solve -3*s - 2*l = 5 + t, -12 = 4*s + 4*l for s.
-4
Suppose 2*g + 3*g - 4*p - 46 = 0, 0 = -2*p - 8. Suppose 9 = 5*t - g. Solve 14 = a - 2*j + t, -5*a = -4*j - 37 for a.
5
Suppose -2*j + 52 = 11*j. Solve -j*u + 5*b = 12, 4*u + 7*b - 9*b = 0 for u.
2
Let g be (-1 + -2)*2/(-2). Suppose -k = z - 4, g = -3*z + k + 7. Solve i = p - 5*p + 23, -21 = -z*i - 3*p for i.
3
Suppose -58 = -5*j - 4*p - 0*p, -22 = -3*j + 4*p. Suppose 11 = y + j. Solve 2*i = 2*t - i - y, -t = -i - 1 for t.
2
Let o be 225*56/(-40)*4/(-14). Let n = o + -87. Solve 2*q = 3*r - 7, -4*r - 18 = -r + n*q for r.
-1
Let i be 279/15 - (-4)/10. Let z = i + -14. Solve -4 = 2*t, -3*x + 0 = 5*t - z for x.
5
Let a = -11 + 14. Let d be (2 + a/(-6))*2. Suppose -5*m = d*j, -2*m = j + 3*m. Solve -f + 4*h + 3 = j, 9*h - 4*h + 5 = 0 for f.
-1
Let d(p) = p**2 + 6*p - 22. Let l be d(-9). Solve 3*t + 2*h + 6 = 0, -l*t = -0*t + 3*h + 11 for t.
-4
Let j(t) = t**3 - 7*t**2 + 7*t - 3. Let r be j(6). Suppose -9*p = -r*p - 30. Solve -5*w - 2 = p*b - 3*w, -4*b + 2*w - 16 = 0 for b.
-2
Suppose 2*b = 1 + 3. Suppose -2*k - b = -4. Let t(r) = 9*r**2 + r. Let d be t(k). Solve x = -5*y - d - 3, -10 = -y + 4*x for y.
-2
Let z be (-3)/(-9)*-1*-15. Let x = 4 - 4. Suppose x = a + 2, -b + 0*a = 2*a. Solve -4*t = -z*j + 2, -b*j - t - 17 = 2*t for j.
-2
Let s(x) = -x + x**3 + 3*x - x - 6 + 0*x - 6*x**2. Let v be s(6). Suppose v = -2*h + 1 + 9. Solve h*r + 8 = -a - 1, 2*r = 3*a + 10 for a.
-4
Suppose -58 = 4*f - 3*c, c + 61 = -5*f - c. Let o = f + 17. Suppose 86*y - 28 = 82*y. Solve 0*s + 4*l = s + y, o*l = 2*s + 2 for s.
5
Let d = 11 + -14. Let n = d - 2. Let k(b) = -b**2 - 5*b + 2. Let t be k(n). Solve -5*g = -5*s + s + 36, -s + 12 = -t*g for s.
4
Suppose -678*w = -661*w - 34. Solve -w*n + 23 = 3*d - 0*n, -9 = -d - n for d.
5
Let o be ((-8)/(-20))/((-1)/(-35)). Solve 0 = 4*s - g + o, -5*s + 0*g - g - 13 = 0 for s.
-3
Suppose 11 = 5*z - 69. Suppose -14 - z = -6*o. Solve -3*b + 3*y = 2*b + 3, -4*b - o = -5*y for b.
0
Suppose 9*n = -5*g + 4*n + 85, 5*g - 86 = -4*n. Suppose u = -2*u + g. Solve 2*p + 4*j - u = 0, -j + 12 = 4*p - 4*j for p.
3
Suppose -4*o - 12 = -4*a + 8, 0 = o + 5*a - 25. Let w be 1/(-2)*-2*16. Solve 4*n + 3*m - w = o, n - 3*n + 8 = -5*m for n.
4
Suppose 138 = -19*h + 13*h. Let f = -18 - h. Solve 4*n = -5*w + 5*n - 15, f*w + 15 = -2*n for w.
-3
Suppose -90 = 22*z - 67*z. Solve -4*l + 4*a = 20, -3*l - 7 = z*a - a for l.
-3
Let d be 6/6 - (-15)/(-3). Let o be (-2 + 7)/(5 + d). Let v = -2 + 4. Solve o*j + 10 = -3*x, x + 0 = -3*j - v for j.
1
Let u be ((-24)/9)/(1/(-3)). Solve -2*z = -2*p, -p + 3*z + 4 = u for p.
2
Let d be (-12)/(-10)*(-80)/(-12). Let a(b) = -b**3 + 8*b**2 + 3*b - 20. Let w be a(d). Solve -3*z - 2*s = -0*s + 13, w*z + s = -14 for z.
-3
Suppose 0 = -2*z - k + 1 + 9, -4 = k. Solve -8*u = -z*u + 5, 5 = -2*a + u for a.
-5
Suppose 9*u = 10 + 17. Suppose 4*s + 4*k = 0, k = -u*s + 7 + 3. Solve -w = -s*z - 5 + 10, -3*w - 4 = -4*z for z.
1
Let v(q) = -q**3 + 9*q**2 - 17*q + 31. Let z be v(7). Solve 2*b + r = 8, 3*b - z = r + 7 for b.
5
Suppose 32 = 4*t - 16. Suppose 0 = 3*l - l - t. Suppose -2*s + 5*s - l = 0. Solve -m = s*m - 15, -5*z - m + 5 = 0 for z.
0
Suppose 43 = 24*b - 77. Solve 2*t + 3 = -b*k - 1, -k = 2 for t.
3
Let w = 1091 + -1079. Solve n + 5 = -2*b, 0*b - w = 4*n + 4*b for n.
-1
Let b be (-19)/(-5) + 16/(-20). Solve -4*c + 4 = -3*c, 3*w - b = 3*c for w.
5
Let r = -35 + 108. Suppose 0*m + 65 = 3*q - 2*m, 4*m = 3*q - r. Solve 3*u + 0*u - q = -z, -4 = -z for u.
5
Suppose -3*f + 2*k + 9 = k, k + 13 = 4*f. Solve z + f*h = -7, 0 + 30 = 3*z - 5*h for z.
5
Let m be -1*5/((-5)/(-2)). Let q = 1 - m. Suppose q*k = -k + 12. Solve a - 4*a = 6, k*p - 7 = -a for p.
3
Let j(m) = 2*m**2 - 15*m + 13. Let l be j(7). Solve 4*h - 1 = -2*o + 1, -5*h = -o - l for h.
1
Let n = 205 + -202. Solve -y = -5*b + 3, 0*b + n*y = 3*b - 9 for b.
0
Let c(u) = 3*u - 12. Let r be c(-4). Let h be (15/(-6) + 2)/(4/r). Solve 5*w - j = -15, -j = 4*w - h*j + 12 for w.
-3
Suppose 5*d - 25 = -5*c, 3*d - 3 = -5*c + 2. Suppose 5*x + 2*n - 64 - 15 = 0, -5*n = -d. Solve 2*m - 11 = -6*l + l, -x = 3*m - 3*l for m.
-2
Suppose -2*c = -8*c + 96. Let t = 30 - c. Solve 2*q = -4*i + t, -4*q + 23 = 3 for i.
1
Suppose -4 = -f + 4*j, 0 = 5*f - 2*j - 3*j - 50. Suppose 5*x = 3*x + 22. Let v = 24 - 19. Solve 0 = -2*p + v*q + x, 3*p - 3*q - f = -0*p for p.
3
Let a = 9 + -6. Suppose a*z = -0*z. Suppose z = -3*v + 8 + 7. Solve 0*i + 13 = 4*i + 5*f, 5*i - v*f + 40 = 0 for i.
-3
Let b = -16 + 14. Let p be 4 - 2*3/b. Let h be ((-4)/p)/((-12)/42). Solve 0 = -4*v - 20, -5*g = -h*v + 3*v + 10 for g.
-1
Let w be ((-1)/(-3)*-23)/((-2)/6). Suppose -10*t + 17 = -w. Solve -3*q - 1 = 3*j + 8, -t*j = 8 for q.
-1
Let r(j) = j**3 - j**2 - j - 11. Let u be r(3). Solve -u*a - 1 = -3*a + 4*b, 4*b + 13 = 3*a for a.
3
Let k = 151 + -148. Solve -24 = -2*n - 4*l, -k*n = 4*l - 3*l - 11 for n.
2
Let f be 2 - (3 + -2)*-3. Suppose 0*x + 4*x = -f*z + 10, x = 2*z - 4. Suppose 9 = -z*n + 13. Solve -p - 8 = n*o, -o - p + 1 = 5 for o.
-4
Let j = 75 - 103. Let z = 33 + j. Solve -4*k + 0*k = z*i - 5, 5*i - 20 = -k for i.
5
Suppose 54 - 12 = 21*z. Solve h = -y - 1, z*h - 15*y + 13*y = -2 for h.
-1
Suppose 0 = t - 124 + 119. Suppose m + p = -2*m + 28, 24 = 5*m - 4*p. Let q = m - 5. Solve -2*s - 2 = t*k + 6, k = q*s + 12 for s.
-4
Let z(a) = a**2 + a - 48. Let n be z(0). Let i = n - -50. Solve 3*x = 2*r + 15, -3*x + 5*r + 5 = -i*x for x.
5
Let r = -12 - -18. Let p = 35 + -33. Suppose 0 = -5*q + q + 8. Solve p*b - 2*i + 18 = 6*b, -2*i = -q*b - r for b.
2
Suppose 3*p + 12 + 94 = 4*d, 2*d - 4*p = 58. Suppose -d*t + 75 = -10*t. Let b = 5 + -2. Solve 40 = -5*o + t*c, -o + 6 = -b*c + 24 for o.
-3
Let r = -117 + 80. Let w = 41 + r. Solve -5*c + 11 = -w*v, 5*v = -4*c + c - 23 for v.
-4
Suppose -18 = -4*c - 2*y, 8*y - 3*y = 2*c - 15. Let g = 10 - c. Let b be (3 - 3) + (3 - 1). Solve 2*o = 2*h - h - g, -b = 2*o for h.
3
Suppose -5*s + 0*s - 4*d = 730, 0 = -3*s + d - 455. Let w be 3/((-1)/5*s/20). Solve -27 = 5*c - w*n, -5*c + n - 30 = -4*n for c.
-5
Suppose w = -4*d + 14, -4*d - 6 = 3*w - 16. Let y be (-32)/d - -3 - -6. Solve i - y = -o + 1, 0 = -3*o - i + 2 for o.
0
Suppose -30 = -4*v - 4*a + 2*a, 2*a + 15 = 5*v. Suppose 14 = 3*u - u + 3*w, 4 = w. Solve 2*r + h = 2, r - v*h = -2*h + u for r.
1
Suppose w = -3*x + 194, 3*w - 2*x - 604 = -0*w. Let n be (1/4)/(10/w). Solve 4*b = -5*u - 21, -n*u - 3*b = -3*u + 14 for u.
-1
Let m(h) = h - 24. Let r be m(28). Solve -r*s - 2*c = 0, 2*s + 1 = -3*c + 5 for s.
-1
Suppose i - b - 1 = 0, 0*i + b - 3 = -i. Suppose z + 21 = -4*n, -i*z - 4*n + 2*n = 18. Let x = 15 + z. Solve 5*q + 2*l = x, 0 = -2*q - 0*l + 3*l + 4 for q.
2
Suppose 2 = -11*v + 10*v. Let o be v*1/9 - 140/(-63). Solve -o*z = 2*p + 18, p + 3*z + 14 = -3 for p.
-5
Let s = 126 + -124. Solve -2*z - 8 = s*y, -7*z + 8 = -3*z - 2*y for z.
0
Suppose -12*z + 105 = 9*z. Solve z*j - 5*l = 45, 21 = 4*j + l + 5 for j.
5
Suppose -19*u + 14 = 5*c - 17*u, 3*u - 6 = 0. Solve 5*p - l = -c, 5 = -0*p - 2*p - l for p.
-1
Let z(u) = -56*u - 256. Let y be z(-5). Solve -s + 3*o = 8 - y, -5*o = 4*s + 4 for s.
4
Let b be (((-336)/35)/(-6))/(6/75). Solve 5*j = 5*s - b, j + 0*s - 2 = -5*s for j.
-3
Let l(u) = u**3 + 4*u**2 - 7. Let d = 14 - 17. Let w(k) = 4*k + 9. Let z be w(d). Let b be l(z). Solve -2*a + 19 = -5*q, -b*a = -3*a + 2*q + 8 for a.
2
Let y = -338 + 340. Solve -a + 2*l = a + y, -2*a = l + 5 for a.
-2
Let h(d) = d**2 - 5. Let p = -36 - -39. Let z be h(p). Solve 5*k - 2*w = 2, -k + 3*k = 4*w + z for k.
0
Let n = 1068 - 1068. Solve r - 5*r + 3*f + 18 = n, -r + 3*f = -9 for r.
3
Suppose 0 = 1056*v - 1068*v + 120. Solve -6*o + 11 = -3*y - 5*o, o + v = -4*y for y.
-3
Let c = 267 - 265. Solve 5 = 5*m - 3*s, -c*m + 10 = 3*m - 2*s for m.
4
Let h(k) = -k**3 - 7*k**2 - 18*k - 21. Let v be h(-4). Solve 0 = 4*a - 2*w + 2, -2*a + 4 = -v*w - 1 for a.
-2
Let x = 31 - 26. Suppose -90 = -i - x*i. Solve -5*k = -0*k - 2*q + i, 5*q = -k - 3 for k.
-3
Let q = -26 - -38. Let b(s) = s**2 - 13*s + 12. Let z be b(q
|
{
"pile_set_name": "DM Mathematics"
}
|
e units digit of x(0)?
1
Let t(y) be the first derivative of -y**3/3 - 13*y**2/2 - 4*y - 10. Let z be t(-10). Suppose 0 = -0*h - h + z. What is the units digit of h?
6
Let c(j) = j**3 + j**2 - j + 48. Suppose 8*n = 9*n. Let r be c(n). Suppose 0 = -4*w - x + 108, 0 = -0*w + w - 5*x - r. What is the tens digit of w?
2
Let o be (-20)/(-90) - (-34)/9. Let y be 3 + 0 + 0 + 1. What is the units digit of -1*(-21 - y/o)?
2
Let n = -693 - -934. What is the units digit of n?
1
Let y(a) = 2*a**2 - 12*a + 2. Let h = 17 - 10. Let w be y(h). Suppose -2*s + w = 2*u, u = 2*s + 6*u - 4. What is the units digit of s?
2
Suppose 7*o + 712 = 11*o. What is the units digit of o?
8
Let m = -375 - -679. What is the tens digit of m?
0
Let x(v) = 2*v + 21. Let p be x(-10). Suppose -z = -2*y - 35, -z + 5*y = -p - 37. What is the tens digit of z?
3
Let p(b) = b**3 + 17*b**2 - 20*b - 92. What is the units digit of p(-13)?
4
Let g(x) = 8*x - 167. What is the tens digit of g(23)?
1
Suppose 15*k + 18*k - 11946 = 0. What is the hundreds digit of k?
3
Let j be 28/6 + (-2)/(-6). Let r be ((-58)/(-8))/((-58)/(-1160)). Suppose -2*p = j*c - r, 0*p = -c - p + 26. What is the tens digit of c?
3
Suppose 0*a + a - 29 = -5*d, -a = -3*d + 19. Suppose 15 = d*y - y. What is the tens digit of (8/y)/((-3)/(-27))?
2
Let k(c) = c**3 + 10*c**2 + c + 12. Let u be k(-10). Suppose -u*s - s + q + 14 = 0, 3 = 3*q. What is the units digit of (s + -4)/(2/6)?
3
Let i(r) = 204*r**2 - r. Let l be i(-1). Suppose -l = -7*n + 467. What is the units digit of n?
6
Suppose l = 2*l. Suppose l = 5*q + 5*y, -7 + 1 = 5*q + 3*y. What is the tens digit of 16 + (-2)/((-2)/q)?
1
Let f = 96 - 54. What is the units digit of f/(-4)*14/(-3)?
9
Let z(f) = -f**2 - 11*f - 9. Let l be z(-10). Suppose 5*r - 3*r = v - 33, 5*r - 5*v = -90. What is the tens digit of 43*l + r/5?
4
Suppose -k - 5*q = -1547 - 57, -6352 = -4*k - 4*q. What is the thousands digit of k?
1
Suppose -23*n = n - 49224. What is the hundreds digit of n?
0
Let h = -292 + 642. Let z = h - 193. What is the units digit of z?
7
Let t = 2973 + 127. What is the units digit of t?
0
Let s(h) = -h**3 + 19*h**2 + 13*h + 41. What is the thousands digit of s(12)?
1
Suppose f - 772 - 2119 = -4*c, 0 = -2*c + 2*f + 1448. What is the units digit of c?
3
Let y(g) = g**2 - 5*g - 8. Let a = 85 + -57. Suppose 3*l + 4*u = 20 + a, 4*u + 24 = 3*l. What is the tens digit of y(l)?
7
Let h(s) = 2*s**2 - 4*s - 3. Let r(t) be the first derivative of -t**4/4 - 2*t**3/3 + 3*t**2/2 + 6*t - 3. Let g be r(-3). What is the units digit of h(g)?
5
Let p = -1 - -9. Suppose 16*w - 13*w - 5*h = 55, w - 30 = 4*h. Suppose -p*l - 56 = -w*l. What is the units digit of l?
8
Suppose -3*f - g - 3 = 1, 5*f + 2*g = -8. Let c(t) = -t**2 + 12. What is the units digit of c(f)?
2
Suppose 0 = q + u - 63, 78 = 2*q + 4*u - 40. What is the units digit of q?
7
Let r = -13 - -27. Suppose 0 = 7*w - r - 7. Suppose 0*p + 183 = w*p. What is the units digit of p?
1
Let v(u) = -u**3 + 27*u**2 - 26*u + 3. Let q be v(26). Suppose -299 - 91 = -q*y. What is the hundreds digit of y?
1
Let q(j) = 14*j**2 + 7*j - 1. What is the tens digit of q(6)?
4
Suppose -2*f - f + 5*l + 2448 = 0, -l = 2*f - 1632. What is the hundreds digit of f?
8
Let z = 758 - 390. What is the tens digit of z?
6
Let l = -20 + 30. What is the units digit of (-1)/(-2)*(l + 108)?
9
Let b = -671 - -2305. What is the thousands digit of b?
1
Suppose 0 = -3*u + 3, -u = -i + 14 - 13. Suppose 5*q - 837 = -4*g, -i*q + 1305 = 5*g + 263. What is the tens digit of g?
0
Suppose -5*i + 14*b + 20 = 12*b, 2*b = -5*i + 20. Suppose -k - 172 = -y - 48, i*y - 492 = 2*k. What is the units digit of y?
2
Suppose -9*d = -4*d - 20. Suppose 5*h - d*h = -28. Let j = -12 - h. What is the units digit of j?
6
Let o(k) = -k**3 - 24*k**2 - 25*k - 49. Let y be o(-23). What is the tens digit of (2/(-9))/((-1)/(-48))*y?
3
Let m(r) = -28*r - 6. Let d(x) = 2*x + 1. Let s(h) = 8*d(h) + m(h). What is the units digit of s(-6)?
4
Let u(k) = -227*k**2 + 248*k**2 + 0 - 17 + k**3 + 17*k. What is the units digit of u(-20)?
3
Let d be 5/(-35) - 64/(-7). Suppose 0*q - d = -3*q. Suppose -2*f - 19 = -q*f. What is the units digit of f?
9
Suppose 3*d + 3*s - 5*s + 4 = 0, 0 = -d - s + 2. Suppose d = 3*z - z - 6. Suppose z*k - 35 = 19. What is the tens digit of k?
1
Let w(d) = 4*d + 2. Let r(b) = -b + 1. Let m(y) = -2*r(y) - w(y). Let h be m(-5). What is the units digit of 105/h - (-6)/(-4)?
6
Let l = 45 + -43. Suppose 3*a - l*z = 5*a - 122, -3*a + 3*z + 207 = 0. What is the units digit of a?
5
Let j = 5 - 8. What is the units digit of 36 + (-3)/(-3) + j?
4
Suppose c - 3*v - 3 = 24, 5*c - 3*v - 99 = 0. Let o be ((-5)/3)/(-10*(-8)/(-240)). Suppose -2*q = -s - 5 + c, -o*s = -5*q - 85. What is the tens digit of s?
2
Suppose -255 = 39*z - 40*z. Suppose -1235 = -5*v - 5*l, 0 = -2*v + 3*v - l - z. What is the hundreds digit of v?
2
Suppose -13*r + 10*r - 6 = -4*c, 0 = 4*r + 3*c - 17. Let p(t) = t + 58. Let x be p(0). Suppose 2*k = 5*l + 121, x = k - 4*l + r. What is the units digit of k?
8
What is the units digit of (-1)/((-3)/24)*74?
2
Let h(z) be the third derivative of 3*z**4/8 - 5*z**3/2 - 5*z**2. What is the units digit of h(9)?
6
Let b = -6 + 9. Suppose w + 5*p + 60 = 2*w, b*p + 12 = 0. What is the units digit of w?
0
Let d(h) = -h**2 - 6*h - 5. Suppose -2*w - 4*x = 24, 0 = 3*w - w + 2*x + 16. What is the units digit of d(w)?
3
Let s = -2 + 6. Let b be ((-10)/(-6))/(s/12). Suppose -b*g - 4*a + 2*a + 144 = 0, 0 = 5*a + 15. What is the units digit of g?
0
Let j(h) = h**2 - 13*h + 15. Let i be j(12). Suppose 0 = -5*u + i*m + 423, 2*m - 425 = -5*u + 18. What is the units digit of u?
7
Suppose -1148 = -4*g + 4*c, 3*g - 594 = -4*c + 232. What is the units digit of g?
2
Let k = -26 - -11. Let c be k/1*4/5. Let i = -3 - c. What is the units digit of i?
9
Suppose 2*z - 16 = -3*c, 0*c = -5*c + 4*z + 56. Suppose -2*s = 2 - c. Let p(l) = 12*l - 4. What is the units digit of p(s)?
2
Suppose -2*n + 2*z + 1322 = 0, -13*n + 17*n - z - 2656 = 0. What is the tens digit of n?
6
Let x(b) = b**3 - b**2 - 8*b - 28. What is the hundreds digit of x(8)?
3
Let o(q) = 2*q + 156. What is the tens digit of o(-13)?
3
Suppose 2*w - 5*a - 4220 = 0, 152*a - 2121 = -w + 149*a. What is the units digit of w?
5
Let m = 1211 + -656. What is the units digit of m?
5
Let z be (-1510)/(-50) + 2/(-10). Let i be 2*5/(z/9). What is the tens digit of (i/2)/(6/88)?
2
Let z(c) = 2*c**2 + 7*c + 5. Let d be z(-5). Let y be ((-135)/d)/(2/16). What is the tens digit of y/(-90) - (-397)/5?
8
Let k be 115/20 - 3/(-12). Suppose -k*y = -y - 125. Let s = y - -5. What is the units digit of s?
0
Suppose -338 + 113 = -5*w. Suppose -s + 5*v = -46, s + v = -5 + w. What is the tens digit of s?
4
Let r(q) = -q**2 + 24*q + 2. Let k(f) = f**3 + 4*f**2 - 8*f - 8. Let u be k(-5). What is the hundreds digit of r(u)?
1
Let r be (-126)/(-10) + 8/20. Suppose -n - 5*s - 19 = 0, -4*s - 24 - 2 = -n. Suppose -n = -5*b - 4*z + r, -3*z = -b. What is the units digit of b?
3
Let d = 1300 + -1285. What is the units digit of d?
5
What is the tens digit of (2 - 5)/((-30)/210)?
2
Suppose -109*x - 1768 = -113*x. What is the units digit of x?
2
Suppose j - 2 + 6 = 0, 4*v = j - 44. Let f = v + 24. What is the tens digit of f?
1
Let g = 103 + -100. What is the units digit of ((-216)/g)/(3*2/(-6))?
2
Let g be ((-4)/(-6))/(6/(-36)). Let w be 10/g*60/(-75). Suppose -4*t + 2*t - 26 = -r, 5*r = w*t + 138. What is the units digit of r?
8
Let n(a) = -18*a**3 + 2*a**2 + 2*a. Let x(m) = m**3 - 2*m**2 - 1. Let i be x(2). What is the tens digit of n(i)?
1
Let w(s) = -2*s**2 - 8*s - 3. Let g be w(-3). Suppose 0 = -g*y + 5*m + 525, -2*y + 0*y = 3*m - 369. What is the hundreds digit of y?
1
Let d(u) = -10*u**3 + 5*u**2 + 6*u + 5. What is the tens digit of d(-4)?
0
Let c be (-92)/(-6)*(-7 + 4). Let t = c + 76. What is the units digit of t?
0
Suppose -h + 2*h = 0. Let b(f) = -f + 25. Let t be b(h). Suppose -t = -2*j + 7. What is the tens digit of j?
1
Let x = -1355 + 3841. What is the units digit of x?
6
Let t(g) = -g**2 + 16*g - 13. Let h be t(15). Suppose -r - 9 = -2*c, 0 = c - h*c + 5*r + 9. What is the tens digit of 35 - ((-5)/(-1) - c)?
3
Let s = 8 + -6. Suppose -s*k - 4*f + 6 = 0, 6*k - k - 2*f = -9. W
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let j(k) = 0 + 2*k - 2 - k**2 - 6*k + 3*k. Let f(n) = -3*j(n) - y(n). Find the second derivative of f(d) wrt d.
-300*d
Let k(t) = 412*t**2 - 21*t - 8846. Let w(z) = -1649*z**2 + 86*z + 35387. Let p(g) = -25*k(g) - 6*w(g). What is the first derivative of p(u) wrt u?
-812*u + 9
Let m = -59 - -59. Suppose 2*d = 1 + 1, 4*p - 2*d - 6 = m. What is the third derivative of -18*c**4 - 20*c**p - 10*c**4 + 7*c**4 - 2*c**2 wrt c?
-504*c
Let f(d) = 112 - 13*d**2 + 51*d**2 + 31*d + 99. Let w(i) = -13*i**2 - 11*i - 70. Let q(p) = -6*f(p) - 17*w(p). Find the first derivative of q(c) wrt c.
-14*c + 1
Let h(f) be the third derivative of 1543*f**9/504 + f**7/105 + 158*f**5/15 + f**4/24 + 5*f**2 + 201*f. What is the third derivative of h(m) wrt m?
185160*m**3 + 48*m
Let o(l) = l + 72. Let t(m) = -2149*m - 27. Let f(i) = -2*o(i) - 2*t(i). Differentiate f(g) wrt g.
4296
Find the first derivative of -1824*x + 173*x - 760*x + 49 - 11 + 85 wrt x.
-2411
Let k = -112 + 151. Find the third derivative of 10 + k*r**2 - 33 + 23 + 21*r**3 - 3*r**4 wrt r.
-72*r + 126
Let p(o) = o**2 - 19*o + 60. Let u be p(4). Let m(l) be the second derivative of 0*l**3 + u - 4*l - 2/3*l**4 + 15/2*l**2. What is the derivative of m(d) wrt d?
-16*d
Let y(d) be the second derivative of 142*d + 0*d**3 + 0 + 2/15*d**6 + 78*d**2 + 0*d**5 + 1/4*d**4. What is the first derivative of y(l) wrt l?
16*l**3 + 6*l
Let o be 71*(-1 + (-1 - -3)). What is the second derivative of 118*z + 17*z**2 - 75*z + 2*z**3 - o*z wrt z?
12*z + 34
Let h(u) = 18*u - 35. Let r be h(10). Find the second derivative of -31*s**3 + 18*s - 145 + r wrt s.
-186*s
Let m(t) = t**2 + 13. Let p = -3 + 7. Let s be m(p). Find the second derivative of 30*q + 25*q**5 + s*q - 25*q + 7*q**5 wrt q.
640*q**3
Let y(x) be the third derivative of -1 - 2*x**2 - 3/4*x**5 + 1/70*x**7 + 0*x - 23/120*x**6 + 1/12*x**4 + 0*x**3. What is the third derivative of y(o) wrt o?
72*o - 138
Find the second derivative of -2594*q + 6166*q + 6985*q - 343*q**2 - 2028*q - 167*q**2 wrt q.
-1020
Let h(t) = -t**3 + 19*t**2 + 21*t - 15. Let i(x) = x**2 + 7*x + 2. Let j be i(-9). Let m be h(j). Differentiate -m*f + 5*f - 4 - 17*f with respect to f.
-17
What is the third derivative of -3*k**2 - 1040*k**6 + k - 553521 + 553521 + k wrt k?
-124800*k**3
Let n(d) = -265*d**3 - 3*d**2 - 183*d + 22. Let a(b) = 798*b**3 + 8*b**2 + 551*b - 64. Let g(k) = 6*a(k) + 17*n(k). Find the second derivative of g(l) wrt l.
1698*l - 6
Let v(u) = u**4 - u**3 - u**2 + 1. Let n(a) = -278*a**4 + a**2 - 1312. Let p(l) = -n(l) - v(l). Find the first derivative of p(m) wrt m.
1108*m**3 + 3*m**2
Let j = 4028 + -12082/3. Let t(u) be the second derivative of 7/2*u**2 + j*u**4 + 0*u**3 - 18*u + 0. Differentiate t(s) with respect to s.
16*s
Let y = 231 + -193. What is the second derivative of 53*o**2 - 7*o**4 - 130*o - 57*o**2 + 132*o + 0 - y wrt o?
-84*o**2 - 8
What is the second derivative of -4*t + 47092*t**5 - 46044*t**5 - 2*t + 0*t - 250 wrt t?
20960*t**3
Suppose -y + 9 = -4. Suppose a + 9 - y = 0. What is the third derivative of -a*z**2 - 29*z**6 - 2*z**3 + 41*z**6 + 2*z**3 wrt z?
1440*z**3
Let b(k) be the first derivative of 511*k**4/4 + 2*k**3/3 + 103*k + 1104. What is the third derivative of b(l) wrt l?
3066
Let y(r) be the third derivative of -r**6/30 - r**5/15 - 61*r**4/24 - 2438*r**3/3 - 709*r**2 - 4*r. What is the first derivative of y(x) wrt x?
-12*x**2 - 8*x - 61
Suppose 0 = -f + 137 - 87. Differentiate 48*n**4 + 0*n**3 - n**3 + 0*n**3 + 50*n**4 + f wrt n.
392*n**3 - 3*n**2
Let o(w) = -85757*w**2 - 53766*w - 34. Let y(z) = 61255*z**2 + 38404*z + 24. Let c(t) = 12*o(t) + 17*y(t). Find the second derivative of c(f) wrt f.
24502
Let s(f) be the third derivative of 7571*f**6/120 - 423*f**5/20 + f**4/8 + 82*f**2 + f - 50. Find the third derivative of s(y) wrt y.
45426
Let c(k) be the third derivative of -29/6*k**3 + 0 - 41/60*k**5 + 0*k + 0*k**4 + 30*k**2. Find the first derivative of c(n) wrt n.
-82*n
Let p(g) be the second derivative of 1989*g**5/20 - 3683*g**3/3 + 29*g + 55. What is the second derivative of p(m) wrt m?
11934*m
Let h(r) = -r**2 + 18*r**2 + 2 + 7*r**2 + 5*r. Let u be h(-3). Differentiate 26*l**2 + u*l - 104*l - 99*l + 5 with respect to l.
52*l
Suppose -9 = -a + 2. Suppose 4 + a = 3*n. What is the first derivative of -22*h**3 + 7 - n + 15 wrt h?
-66*h**2
Suppose -15 + 10 = -b. What is the third derivative of 7*w**5 + 7 + 36*w**5 - 9*w**2 + b - 16 wrt w?
2580*w**2
Suppose -4*o + 36 = -124. Let l = 45 - o. Find the third derivative of l*z**2 + 15*z**4 - 11*z**4 + 14*z**4 wrt z.
432*z
Let y(h) = 3987*h**2 - 4311*h + 112. Let g(b) = -1995*b**2 + 2155*b - 64. Let z(x) = 7*g(x) + 4*y(x). What is the second derivative of z(o) wrt o?
3966
Let y(k) = -6663*k**3 - 5*k**2 - 301*k. Let h(z) = -13305*z**3 - 11*z**2 - 601*z + 1. Let x(d) = -2*h(d) + 5*y(d). Find the third derivative of x(u) wrt u.
-40230
What is the third derivative of 403*f**5 - 7*f + 19*f**2 - 203 - 36*f**6 + 44*f**6 - 9*f**2 - 11*f**2 wrt f?
960*f**3 + 24180*f**2
Find the second derivative of -2334 - 1997*t + 1163 - 5843*t + 1171 + 9574*t**2 wrt t.
19148
Suppose -9*q - 259 = -2*q. Let v = q + 67. Find the third derivative of 58*y**2 - 22*y**5 + 4*y**5 - v*y**2 - 31*y**2 wrt y.
-1080*y**2
Let o = 127 + -101. Find the first derivative of o - 77 + 56*v + 7 - 43 wrt v.
56
Let a(n) be the second derivative of 161*n**4 - 1092*n**2 - 801*n. Differentiate a(y) with respect to y.
3864*y
Let u(q) = 2*q**2 + 21*q + 14. Let j be u(-10). Differentiate 520*x**4 - x + 20 - 1 - 596*x**j with respect to x.
-304*x**3 - 1
Suppose -k = b - 2*b + 356, 5*k + 3*b = -1748. Let g be ((-3)/(-2))/((-66)/k). Differentiate 5*p - g*p + 11 + 3*p**4 + 3*p wrt p.
12*p**3
Suppose 14*o - 48 = 6*o. Find the third derivative of 3*p**2 + 298*p**6 - 120*p**6 + 2*p - 88*p**o wrt p.
10800*p**3
Let h(f) = 10587*f**2 - 8208*f - 21. Let n(u) = -2647*u**2 + 2052*u + 5. Let d(z) = -5*h(z) - 21*n(z). Find the second derivative of d(q) wrt q.
5304
Let o(c) = -3*c + 2. Let t be o(2). Let i be -3 - (t - -2) - -8. Find the first derivative of 18 + 13 + i - 2 - 22*u wrt u.
-22
Find the third derivative of -1104*l - 1088*l + 6*l**6 - 58*l**5 + 2179*l + 42*l**2 - 79*l**5 wrt l.
720*l**3 - 8220*l**2
Let f(h) = 40*h + 83 + 45*h - 2*h**2 - 93*h. Let d(z) = -z**2. Let o(n) = -4*d(n) + f(n). What is the first derivative of o(y) wrt y?
4*y - 8
Find the third derivative of 3295*b**2 + 3176*b**5 - 6340*b**5 - 343*b**3 + 3170*b**5 wrt b.
360*b**2 - 2058
What is the third derivative of 3503*z**2 + 4*z - 220758 + 908*z**3 + 220758 - 4*z wrt z?
5448
Let c(r) = 2*r**3 + r**2 + r - 1. Let g(z) = 4436*z**3 - 12*z**2 + 381*z + 3. Let v(s) = -3*c(s) - g(s). Find the third derivative of v(f) wrt f.
-26652
Let c(o) be the third derivative of 1/8*o**4 - 5/24*o**6 + 0 - 137*o**2 + 0*o - 11/6*o**3 + 0*o**5. What is the second derivative of c(s) wrt s?
-150*s
Let x(d) = d**3 - 5*d**2 + 4*d + 5. Let b be x(4). Find the second derivative of 127*z + 15*z**b + 9*z**4 + 105*z - 8*z**4 wrt z.
300*z**3 + 12*z**2
Let o(z) be the third derivative of -19*z**6/30 - 9*z**4/8 + 252*z**3 - 6*z**2 + 115. Differentiate o(m) wrt m.
-228*m**2 - 27
Let y(v) = 6*v + 203. Let a be y(-24). Find the second derivative of -10*w**3 - 30*w + a*w - 2 + 4*w**4 + 1 - 9*w wrt w.
48*w**2 - 60*w
Let d(f) be the third derivative of -41/3*f**3 + 23*f**2 - 5/24*f**4 + 2 + 0*f. What is the derivative of d(j) wrt j?
-5
Let y = 153 + -128. What is the second derivative of 578*d**3 - 11*d - y*d - 580*d**3 - 23*d**4 wrt d?
-276*d**2 - 12*d
Let z(c) be the second derivative of -c**8/28 + 4383*c**5/20 + 13*c**4/12 - 77*c**3/3 + c**2 - 11533*c. What is the third derivative of z(i) wrt i?
-240*i**3 + 26298
Let k(r) = 71*r**2 - 12*r - 8. Let t(b) = -26*b**2 + 60*b**2 - 16*b - 23 - 18*b + 180*b**2. Let h(m) = 17*k(m) - 6*t(m). What is the derivative of h(u) wrt u?
-154*u
Let f(h) = -4*h + 18. Suppose 0 = -5*y + 2*q + 18, 4 = -2*y - q + 13. Let j be f(y). Find the third derivative of 2 + 12*u**6 + 1334*u**2 - j - 1294*u**2 wrt u.
1440*u**3
Let i(s) be the first derivative of 0*s**2 + 3/4*s**4 - 20*s - 44/3*s**3 + 133. What is the derivative of i(n) wrt n?
9*n**2 - 88*n
What is the first derivative of 1164 - 120*f**4 + 19*f**4 + 455*f**4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the smallest common multiple of 4 and 2 + -284*(-6)/24?
292
Let t = 71 + 4. Find the common denominator of (-100)/t*43/(-10) and -43/18.
90
Let v = -212 + 8051/38. Calculate the common denominator of v and 19/2.
38
Let f(g) = -g + 3. Let k be f(0). Calculate the common denominator of 8/14 + 0 + 282/(-28) and (2/k)/(24/582).
6
Calculate the common denominator of 931/741 + 4/(-24) and 103/52.
156
Let p(i) be the second derivative of -i**4/12 + 11*i**3/6 + 6*i**2 - 11*i. Calculate the lowest common multiple of p(10) and 10.
110
Suppose 2 = 6*h - 10. Calculate the smallest common multiple of h and 10.
10
Let p(q) = 2*q**3 - 4*q**2 + 16*q - 27. Calculate the least common multiple of 7 and p(2).
35
Suppose -q + 104 = 5*t, -8*t + 2*q = -3*t - 92. Calculate the smallest common multiple of 70 and t.
140
Let g be (6 - 3) + (-223)/86. Let t = -703/301 + g. What is the common denominator of t and 97/10?
70
Let u = -430 - -5991/14. Let f = -150027/460 + 1636/5. Calculate the common denominator of u and f.
644
Let h = -408 + 8590/21. Calculate the common denominator of 46/(-30) - 1/2 and h.
210
What is the common denominator of (2 + (-51)/(-9))*18/20 and 4/(-40)*(-87)/(-24)?
80
Suppose -r - z = 8 + 4, 4*z = r + 2. Let l(s) = s**3 + 11*s**2 + 7*s - 16. What is the least common multiple of l(r) and 272?
1904
Let z(v) = -2*v**2 + 9*v + 3. What is the smallest common multiple of 12 and z(3)?
12
Let z = 147187/37 + -7955/2. Find the common denominator of z and -29/78.
2886
Let h = 783109273690243175482737397/126433560 - 6193840256418020427. Let r = -2458/95783 + h. Let o = r - -1/1320. Find the common denominator of o and 97/2.
2
Suppose d - 3*m = -m, -4*d - 15 = -3*m. What is the common denominator of 54/11 and (-8)/d - 155/30?
66
Let f = 199 + -189. Calculate the lowest common multiple of 5 and f.
10
Let w(c) = -c**2 + 8*c - 5. Let z be w(7). Let p = z - -10. Calculate the smallest common multiple of 8 and p.
24
Suppose 0 = -5*x - 25, -h + 4 = -2*h - x. Let c be (3/(-2))/(h/1278). Let z = c - -15295/8. Find the common denominator of 11 and z.
8
Suppose -207 = -14*k - 39. Let r(w) = w**3 + 8*w**2 + 7*w - 2. Calculate the smallest common multiple of k and r(-5).
228
Let z = 4 + -2. Calculate the least common multiple of (-5)/(-20)*3 - (-6)/(-72)*-831 and z.
70
What is the smallest common multiple of 357 and (-51*4/(-7))/((-84)/(-882))?
2142
Let l = 10244 - 19983/2. Let s = -267 + l. Calculate the common denominator of -103/38 and s.
38
Let l = -526453/210 + 7522/3. Calculate the common denominator of l and 61/56.
280
Let t(p) = -p**2 - p + 5. Let k be t(0). Suppose -k*n - 1879 - 1886 = 0. Let b = 15067/20 + n. What is the common denominator of b and -49/2?
20
Let h(k) = k**2 - 11*k + 14. What is the least common multiple of 14 and h(-21)?
686
Let v = -93 + 120. Calculate the least common multiple of v and 21.
189
Let i = 42 + -29. Let w(a) = a**3 - 14*a**2 + 12*a + 31. Suppose -1 = 2*j - 3, -3*c + j = -89. Calculate the smallest common multiple of w(i) and c.
90
What is the common denominator of (1092/18)/((-16)/(-12)) and 101/102?
102
Let q(n) = n**2 + 11. Suppose -16*z - 52 = -4. Calculate the least common multiple of 62 and q(z).
620
Calculate the common denominator of -31/416 and (-134)/469 - 1203/(-1638).
1248
Suppose -d - 17 - 68 = -5*a, -4*a + 4*d + 68 = 0. What is the common denominator of (-2)/a + 3561/(-1377) and -46/3?
27
Suppose -3*z + 6*r + 4 = 4*r, -4 = -4*r. Suppose -2*i + 22 = 5*o, 0*o + 4 = 4*o + 5*i. What is the least common multiple of o and z?
6
Suppose -3*w - 2*n = -18, 5*w + 6 = 6*w - 4*n. Calculate the smallest common multiple of w and 33.
66
Suppose 4*b - 26 = -2*r, -19*r = 3*b - 22*r - 42. What is the lowest common multiple of b and 197?
1773
Suppose h = -k + 23, 4*k + 7 + 13 = 0. Suppose 50 = 4*a + a. What is the smallest common multiple of h and a?
140
Suppose 4 + 4 = 4*k. Let b = 54 - 52. Suppose m + 28 = 3*p + b*m, -m - k = 0. What is the least common multiple of 4 and p?
20
Suppose 0 = -3*k + 39 + 39. Suppose -t + p = -4*p - k, -t - 10 = 4*p. Calculate the smallest common multiple of -7*(-1*2)/1 and t.
42
Let v = -85 - -100. Calculate the smallest common multiple of v and 87.
435
Let z = 8 + -6. Suppose -f - 5*t = f - 12, z*f = 4*t - 6. Calculate the least common multiple of 3 and (18/(-21))/(f/(-7)).
6
Suppose -2*h - 13 = -69. Calculate the least common multiple of 7*(-20)/(-15)*18/h and 16.
48
Let b = -393/38 + -167/95. Find the common denominator of ((-249)/(-10))/(-11 - 1) and b.
40
Suppose -s - 2*n + 11 = n, -4*n - 12 = 0. What is the common denominator of -8/9 and (-1)/2 + (-174)/s?
45
Let t = 293 - 261. Calculate the smallest common multiple of 10 and t.
160
What is the common denominator of (-120)/(-2240) + (2 - 0/(-1)) and (-2)/(-5)*1515/(-72)?
168
What is the least common multiple of (-4)/(-16) - 188/(-16) and 3?
12
Let x(f) = 4*f. Let m be x(0). Suppose -3*o + 6 + 0 = 0. Suppose m = o*t - t - 9. Calculate the smallest common multiple of 5 and t.
45
Let g = 841 - 839. What is the smallest common multiple of 25 and g?
50
Find the common denominator of (274/(-960))/1 + (-154)/(-385) and -107/28.
672
Suppose 2*u - 2*r + 18 - 450 = 0, 4*r = 0. What is the smallest common multiple of 132 and u?
2376
Let d = 114 + -745/7. Calculate the common denominator of -63/430 and d.
3010
Let t(y) = y**2 - 8*y + 2. Let i be t(7). Let j(b) = b**3 + 4*b**2 - 4*b + 6. Calculate the least common multiple of ((-2)/1)/((-2)/10) and j(i).
10
Let z = -1758 + 15790/9. Let f be (-52)/(2/1 - (-48)/(-18)). What is the common denominator of z and ((-66)/(-8))/(2 - f/36)?
18
Let p(t) = -4*t - 7. Let y be p(7). Calculate the least common multiple of 20 and 448/y*10/(-4).
160
Let v be ((-4)/(-8))/(1/(-2)). Suppose -2 - 2 = 5*t + d, -t - 16 = 4*d. What is the common denominator of 156/(-15)*(t + v) and 4/3?
15
Suppose 21 = w + y, -3*w + 2*y + 65 + 13 = 0. What is the lowest common multiple of 8 and w?
24
Suppose -8*d + 3*d - 10 = 0. Let i be 70/d*(-24)/20. Suppose i = -m + 4*m. What is the lowest common multiple of m and 10?
70
Let y = -121375/14 + 8664. Calculate the common denominator of y and 4/(-48)*(-276)/9.
126
Suppose -6*f + p + 15 = -2*f, 5*f + 5*p - 25 = 0. Suppose 30*r = 32*r - f. Calculate the smallest common multiple of r and 6.
6
Let r(q) = 7*q**2 - q - 2. Suppose 3*t + d = 11, 0 = -7*d + 6*d + 5. Calculate the lowest common multiple of r(-1) and t.
6
Suppose 2*l - 57 = -1. Suppose 29*m = 32*m - 36. What is the smallest common multiple of l and m?
84
Let k be (-234)/(-15) - (-2)/5. Suppose k*m = 13*m + 48. Calculate the lowest common multiple of 40*3*2/12 and m.
80
Let v be ((-237)/(-21) - 3) + (-6)/21. Find the common denominator of 3/10*47/3 and (378/15 + 4)/v.
20
Let s(o) = 2*o + 8. Let c be s(-8). Let g(l) = -l + 2. What is the lowest common multiple of 21 and g(c)?
210
Let r(z) = -z**3 - 3*z**2 - 14*z - 18. What is the lowest common multiple of 6 and r(-4)?
54
Let p = -2057996118 + 160514578079/78. Let w = -1383144/13 - p. Let v = 10491 - w. Find the common denominator of 59/30 and v.
30
Let v(u) = -37*u - 21. Let c be v(-5). Suppose 0 = 3*n + 5*k - c, 5*n - 2*k = 50 + 182. What is the lowest common multiple of n and 6?
48
What is the common denominator of (-18)/(-6) - (-33)/16 and (-3)/1 + -4 + (-152)/(-18)?
144
Let y = 5/5653 - -785677/101754. Let w = -43281/32 + 1355. Calculate the common denominator of y and w.
288
Let w be (-7 + 137413/19630)*(-4)/3. Let t = -1050193/58890 + w. What is the common denominator of 75/8 and t?
24
Suppose 66 = 70*r - 64*r. What is the smallest common multiple of r and (2/3)/(4/42)?
77
Let i = 29271/75808 + -5/7107. Calculate the common denominator of -13/132 and i.
1056
Calculate the common denominator of -35/4 and ((-13)/(-4))/(5/((-75)/33)).
44
Let m(h) = 6 - 2 - 5*h + h**2 - 1. Calculate the lowest common multiple of (48/60)/(2/15) - 2 and m(6).
36
Suppose -3*i + 15 = 0, -i = r + 4*i - 23. Calculate the lowest common multiple of (14 - (3 - 1)) + r and 4/(-3)*(-15)/2.
10
Let b = -1730 - -1730. Let l be (55 + 0/1)*1. Suppose b = -3*v - 4 + l. Calculate the least common multiple of v and 6.
102
Let p = 3617/150 + 4/75. Calculate the common denominator of p and 4/22*73/(-16).
264
Let p(i) = 23*i +
|
{
"pile_set_name": "DM Mathematics"
}
|
3
13437
What is the product of -0.319 and -87?
27.753
Multiply -1555 and -58.
90190
Calculate -2351*1.9.
-4466.9
Product of -0.594 and 2731.
-1622.214
Product of 1.1174 and -0.3.
-0.33522
What is the product of 0.0766 and -3?
-0.2298
-0.14 times 9.5
-1.33
135.82 times -78
-10593.96
Multiply -0.3 and -0.80196.
0.240588
63.38 * 9.4
595.772
16199 * -196
-3175004
Calculate -45.7455*5.
-228.7275
0.1045 * 3.2
0.3344
What is the product of 8.2813 and -0.1?
-0.82813
Work out -188 * -20.08.
3775.04
Multiply -4 and 1597.93.
-6391.72
Multiply 0.0354 and 0.6.
0.02124
Calculate 9064*-63.
-571032
Multiply 0.0739112 and 4.
0.2956448
116.404*-0.4
-46.5616
Calculate -0.4*-10897.
4358.8
-0.70462*-0.2
0.140924
Calculate 0.23*978.
224.94
Multiply 1530 and -0.06.
-91.8
What is -0.46 times 8.3?
-3.818
What is -0.004 times 40977?
-163.908
-25945 times -0.24
6226.8
Multiply -0.651 and -0.41.
0.26691
What is the product of 10621 and -8?
-84968
110 * 0.31
34.1
Calculate -781*-0.264.
206.184
Work out -31120 * 0.9.
-28008
Calculate -3*-0.07302.
0.21906
207 times 12.18
2521.26
Work out -98.6 * -135.
13311
What is -0.3081 times -10.9?
3.35829
0*0.7853
0
Work out 6 * 573.
3438
-0.14 times 830
-116.2
60*-4161
-249660
What is 0 times -1730.54?
0
-0.023705 * 55
-1.303775
-0.2342 times -35
8.197
0.0394 times -107
-4.2158
Product of 3 and 260104.
780312
4.43206 * 0.15
0.664809
1311*0.085
111.435
What is -0.262301 times 1?
-0.262301
-20301*7
-142107
-14 * -32151
450114
Multiply 0.4 and 30.819.
12.3276
Product of -0.6 and -209.65.
125.79
Multiply -134 and 0.0773.
-10.3582
-0.034931 times 0.1
-0.0034931
-703770 times -2
1407540
Calculate 0.4934*-0.0794.
-0.03917596
What is 78627.3 times 0.01?
786.273
What is -2 times -11.008?
22.016
What is -3.93 times 116?
-455.88
What is -18.99 times 0.7?
-13.293
10066.9 times -0.3
-3020.07
-30 times 1245
-37350
Multiply -888121 and -0.8.
710496.8
2 * 19731
39462
Calculate 3.1*-639.
-1980.9
What is 0.2 times -14054?
-2810.8
1887 times 21
39627
-491 * 2.6
-1276.6
0.08 * -5630
-450.4
What is the product of 457640.7 and -0.3?
-137292.21
Multiply 0.17 and 706.
120.02
What is -0.5 times -1343019?
671509.5
What is -2 times 0.010016?
-0.020032
What is 500446 times 1?
500446
Work out 3 * 21595.
64785
Multiply 11 and 395.
4345
-7*-7231
50617
-28 * 20342.9
-569601.2
Calculate 6.55*-0.067.
-0.43885
-1.133*-1797
2036.001
Work out 1 * 1342222.
1342222
2 times 20157
40314
199585 times -0.5
-99792.5
0.4 times 4255
1702
Work out -1036 * 1.08.
-1118.88
Work out 3565 * 25.
89125
Multiply -0.074 and -0.0314.
0.0023236
Multiply -15910 and -9.
143190
What is the product of -10141 and 0.006?
-60.846
3 times 16591
49773
What is -0.71 times -4259?
3023.89
Calculate -2504.83*0.8.
-2003.864
-0.2 * 292458
-58491.6
Work out -2413.84 * -6.
14483.04
1 times -9458
-9458
Multiply 78106 and -0.3.
-23431.8
-685 * -35.5
24317.5
Product of -0.83 and 1854.
-1538.82
Calculate -0.5*-90998.
45499
0.2482 times 14.11
3.502102
Multiply -1.5 and -3176.
4764
Work out 5.79 * 1558.
9020.82
-364998 times -0.2
72999.6
0.268*0.398
0.106664
58578*11
644358
What is the product of -0.251 and -13273?
3331.523
-0.02*119857
-2397.14
Multiply 5.294 and -51.
-269.994
-95840 times -4
383360
-0.4 times 1.6677
-0.66708
What is the product of 480 and -1.26?
-604.8
-4 * -79.92
319.68
Product of -0.3 and 7507.
-2252.1
-10.2 * -2809
28651.8
Multiply -5 and -0.05139.
0.25695
-4 * -1.572
6.288
Work out -0.3 * -0.0787.
0.02361
Product of 13564 and 3.9.
52899.6
Multiply -1.4 and 8070.
-11298
Multiply 43.36693 and 0.
0
Multiply -247 and -0.079.
19.513
Product of -2 and -0.6855.
1.371
Multiply 11884 and 0.42.
4991.28
Product of 8 and 58.1.
464.8
-0.02725 times -0.63
0.0171675
0.5*-0.036531
-0.0182655
What is 22.61 times -1.2?
-27.132
Work out 8.469 * -2.
-16.938
0.28038 times -0.2
-0.056076
Work out 538 * -2.64.
-1420.32
What is -5 times -145127?
725635
Multiply -26800 and 5.
-134000
3 * -36810
-110430
93.2*-132
-12302.4
Product of 0.2 and 1888.
377.6
Multiply 41 and -0.069.
-2.829
Calculate 0*8276.
0
0.120065 * -9
-1.080585
Product of 5 and 469.41.
2347.05
Product of 4362.6 and 0.2.
872.52
Multiply -170587 and -5.
852935
Multiply 26079 and -0.1.
-2607.9
What is -5709 times -0.3?
1712.7
Multiply 144.211 and -5.
-721.055
Calculate 11.6869*0.
0
Product of 0.85902 and -0.03.
-0.0257706
Product of 170203.4 and -0.1.
-17020.34
Multiply 3 and -32362.
-97086
Product of -1247 and -2.
2494
Work out -0.3 * -0.01137.
0.003411
Work out -0.4 * -13703.
5481.2
Work out -9 * 331.7.
-2985.3
0.0434892 times -0.4
-0.01739568
Work out 19430 * -0.4.
-7772
What is the product of -31530 and 0.01?
-315.3
-58 times 0.783
-45.414
0.11*-174593
-19205.23
-2.684 * 0.061
-0.163724
2.440995*4
9.76398
What is the product of 73 and -0.0499?
-3.6427
What is the product of -0.4015 and 0.5?
-0.20075
What is the product of 4.5738 and 0.12?
0.548856
What is the product of -31754 and -183?
5810982
Product of -6717 and -5.
33585
1086 times 1542
1674612
-81 times -5.429
439.749
-381 times -0.312
118.872
Product of -351855 and -0.07.
24629.85
Work out 1.63 * 0.4338.
0.707094
Multiply 1814 and -0.009.
-16.326
-9097 times -0.75
6822.75
-1201.55 * -0.1
120.155
1.650722 * -0.2
-0.3301444
-0.5*0.098994
-0.049497
Work out -0.28 * -91.
25.48
Multiply 0.4 and 0.20273.
0.081092
Multiply -0.1558 and -3.6.
0.56088
Multiply -390916 and -3.
1172748
What is -958184.5 times 0?
0
0.011 * -49
-0.539
What is the product of -1.006 and 15.25?
-15.3415
-1*-4631
4631
293 * -265.5
-77791.5
Work out -4789 * 79.
-378331
Work out -35428 * -20.
708560
Product of 10 and 24511.
245110
Calculate 0.011*-6719.
-73.909
Multiply 0.5 and 0.06202.
0.03101
What is 125968.9 times 0.5?
62984.45
Calculate -9*0.07303.
-0.65727
89 times -67
-5963
What is the product of -0.58 and -1.08888?
0.6315504
Calculate 0.03457*0.021.
0.00072597
-16 * -1.4223
22.7568
Calculate 93.6*-12.3.
-1151.28
Multiply -112 and -0.0651.
7.2912
Multiply -197 and -954.
187938
Product of -126.9 and -0.016.
2.0304
-14 times -0.006683
0.093562
-0.6 * 202357
-121414.2
Work out 0.09 * 164733.
14825.97
What is 22.3 times 1.5?
33.45
Product of -3.935 and 0.08.
-0.3148
-208 * 626
-130208
Product of -0.132 and -0.4607.
0.0608124
Work out 1 * -1093.1.
-1093.1
Calculate 2432.5*1.7.
4135.25
Calculate -613*-0.07235.
44.35055
4 * 1.3388
5.3552
Product of -0.392 and 31.
-12.152
Product of 4282.3 and 0.7.
2997.61
What is -4 times -1409.1?
5636.4
Calculate 0.042*-111.18.
-4.66956
274 * 5855
1604270
-33569 * 3
-100707
Product of -0.25 and 259.
-64.75
-2.3 times -5758
13243.4
What is the product of 0.04 and -232620?
-9304.8
Multiply -1 and 18389.
-18389
6.1*-0.08
-0.488
Multiply 3748.8 and 11.
41236.8
What is the product of 0.637 and -2104?
-1340.248
0.2 * 43.08
8.616
What is 0.1 times 6.41097?
0.641097
What is 449079 times -3?
-1347237
What is -5258 times 1.99?
-10463.42
Calculate -34000*-5.
170000
What is the product of -0.04 and 4.3654?
-0.174616
0.1 * 17050
1705
-10 times 133
-1330
Calculate 1.902*0.8.
1.5216
Multiply -0.1041 and -1.2.
0.12492
Calculate 8973*-15.
-134595
Calculate -18757*0.4.
-7502.8
Calculate -4*304560.
-1218240
Product of -477579 and 0.3.
-143273.7
Work out -0.404675 * -0.3.
0.1214025
-1.4 * 1402
-1962.8
-6.1 * -2.164
13.2004
Multiply 1.3 and -19362.
-25170.6
829359 * 0.5
414679.5
What is 2.55 times -8.1?
-20.655
Product of 20 and -284.13.
-5682.6
Multiply 851 and 444.
377844
What is -43 times -1076?
46268
-933545 times 0.2
-186709
Calculate -490.3*-0.02.
9.806
24665.53*-0.5
-12332.765
What is the product of -0.36 and 0.0962?
-0.034632
1784*117
208728
What is the product of -1.604 and -0.029?
0.046516
What is the product of -1206 and 0.118?
-142.308
Calculate 0.062*54500.
3379
Product of -70 and -857.
59990
Work out -0.017 * -1.5.
0.0255
Work out 0.8 * 8184.
6547.2
86677 times 5
433385
1244 * 2.9
3607.6
Work out 3181 * -186.
-591666
Multiply 77.24 and 3.
231.72
What is the product of -3 and -9343?
28029
23.9*-2705
-64649.5
1479642 * 0
0
Work out -50 * 38.
-1900
118*3
354
Work out -0.00202 * 15.
-0.0303
0 * 1.5654
0
-60*-1.789
107.34
Product of -9 and 328.
-2952
What is the product of 980 and -4986?
-4886280
-55*-0.157
8.635
Product of 4.04 and 76.
307.04
Product of -0.9 and -2552.
2296.8
0.1 * 0.1
0.01
-0.191 times
|
{
"pile_set_name": "DM Mathematics"
}
|
287088*x/11 - 287096/11 = 0.
-2, -2/5, 1, 35887
Solve 2*c**2/7 + 28286*c/7 - 11753976/7 = 0 for c.
-14547, 404
Factor 3*u**2 + 27597*u + 5478564.
3*(u + 203)*(u + 8996)
Find m such that -2*m**2/5 + 128154464*m/5 - 2052945830390912/5 = 0.
32038616
Determine y so that -4*y**3 + 1520688*y**2 - 27371088*y = 0.
0, 18, 380154
What is q in 5*q**5 + 11955*q**4 - 5631935*q**3 - 5655835*q**2 + 5631930*q + 5643880 = 0?
-2794, -1, 1, 404
Factor -5*y**2 + 62893480*y + 125786980.
-5*(y - 12578698)*(y + 2)
What is d in -40*d**3/3 + 25852*d**2 = 0?
0, 19389/10
Suppose -r**2/9 + 993299*r/9 - 662198/3 = 0. Calculate r.
2, 993297
Suppose u**5 - 8992*u**4 - 316647*u**3 + 6339310*u**2 - 21269812*u + 19859400 = 0. Calculate u.
-50, 2, 11, 9027
Let -2*p**2/9 + 243362*p/3 - 3650380/9 = 0. What is p?
5, 365038
Factor -2*t**3 - 177660*t**2 - 532962*t.
-2*t*(t + 3)*(t + 88827)
Find m, given that -484*m**3/3 + 1176956*m**2 + 2140320*m + 2918800/3 = 0.
-10/11, 7297
Solve -2*r**3/3 + 9484*r**2/3 - 3129414*r - 1522331712 = 0 for r.
-352, 2547
Suppose -1458*l**5 + 118948986*l**4 + 753408648*l**3 - 537516416*l**2 + 122058752*l - 9138080 = 0. What is l?
-7, 2/9, 81590
Suppose 4*v**4 + 41600*v**3 + 3884704*v**2 + 99507456*v + 774681408 = 0. Calculate v.
-10306, -58, -18
Suppose 5*u**4/6 + 55661*u**3/6 + 5566*u**2/3 = 0. What is u?
-11132, -1/5, 0
Factor -2*n**2/13 + 20549720*n/13 - 52786374009800/13.
-2*(n - 5137430)**2/13
What is k in 3*k**3 + 6777*k**2 - 3434436*k + 17002380 = 0?
-2686, 5, 422
Let -70*i**3 + 132295*i**2 - 8540420*i - 610705 = 0. Calculate i.
-1/14, 67, 1823
Factor -4*z**2 - 60384*z - 2408960.
-4*(z + 40)*(z + 15056)
Determine t, given that -5*t**3 - 2995*t**2 - 216220*t + 3328000 = 0.
-512, -100, 13
Suppose 18*v**5 - 9141*v**4/2 + 155067*v**3 - 279798*v**2 - 24396*v = 0. Calculate v.
-1/12, 0, 2, 38, 214
Factor 2*v**5/9 + 2056*v**4/3 + 717046*v**3/9.
2*v**3*(v + 121)*(v + 2963)/9
Factor -2*g**3/13 - 27646852*g**2/13.
-2*g**2*(g + 13823426)/13
Factor 4*q**2 + 3428*q - 1411776.
4*(q - 304)*(q + 1161)
Find s, given that -2*s**4/9 + 10754*s**3/9 - 96604*s**2/9 - 107360*s/9 = 0.
-1, 0, 10, 5368
Let 5*z**4 + 1570*z**3 - 14680*z**2 - 37328130*z - 2308134285 = 0. What is z?
-193, -81, 153
Find k, given that -k**4/3 - 1465*k**3 - 26333*k**2/3 + 1465*k + 8778 = 0.
-4389, -6, -1, 1
Suppose 5*j**4 - 11855*j**3 - 27885165*j**2 - 16596012125*j - 3122420930860 = 0. What is j?
-539, 3988
Factor -2*l**3/11 + 165746*l**2/11 + 14958768*l + 40597521696/11.
-2*(l - 83857)*(l + 492)**2/11
Determine y so that 4*y**5 - 6528*y**4 - 17108236*y**3 - 10244724040*y**2 - 1907869429200*y + 1918131268000 = 0.
-530, 1, 3221
Determine q so that 2*q**4/7 - 5952*q**3/7 - 349782*q**2/7 - 6546812*q/7 - 38519664/7 = 0.
-23, -12, 3034
Suppose 2*m**2/9 - 19294*m/9 - 6434700 = 0. What is m?
-2403, 12050
Factor 2*o**3/9 + 114626*o**2/9 + 30349004*o/9.
2*o*(o + 266)*(o + 57047)/9
Let -125841*m**3/5 - 880892*m**2/5 - 755081*m/5 - 6 = 0. What is m?
-6, -1, -5/125841
Factor 2*t**2/3 + 45094132*t/3 + 254185092604178/3.
2*(t + 11273533)**2/3
Find u such that 3*u**5/2 + 24186*u**4 - 387393*u**3 - 532488*u**2 + 4260807*u/2 - 1234710 = 0.
-16140, -3, 1, 17
Find v, given that 507*v**2/4 - 3046719*v/2 + 18308671923/4 = 0.
78121/13
Find h such that 2*h**5/15 - 58*h**4 + 120748*h**3/15 - 1714712*h**2/5 - 3592752*h/5 = 0.
-2, 0, 89, 174
Suppose -3*w**5/2 + 189*w**4/2 - 939*w**3 - 19872*w**2 + 42768*w = 0. What is w?
-11, 0, 2, 36
Factor -3*m**2/5 - 5309*m/5 - 71996/5.
-(m + 1756)*(3*m + 41)/5
What is c in 2*c**3 - 213260*c**2 + 5330142*c + 11513340 = 0?
-2, 27, 106605
Let -2*c**3/9 + 1564*c**2/9 - 404600*c/9 + 3851792 = 0. What is c?
238, 306
Find q, given that -q**4 + 83*q**3 + 4489*q**2 - 22595*q - 214200 = 0.
-40, -5, 9, 119
Determine d, given that 2*d**5/3 + 1390*d**4/3 - 5158*d**3 + 40970*d**2/3 + 15472*d/3 - 14120 = 0.
-706, -1, 1, 5, 6
Let j**5 - 14107*j**4 + 126877*j**3 + 70643*j**2 - 2157134*j + 1973720 = 0. Calculate j.
-4, 1, 5, 7, 14098
Factor -3*h**3/2 - 682503*h**2/2 - 1706220*h.
-3*h*(h + 5)*(h + 227496)/2
Factor 16*v**3/7 + 208504*v**2 + 33398269633*v/7 + 5174671731996/7.
(v + 156)*(4*v + 182129)**2/7
Solve i**2/8 + 111867*i/8 + 24747425/2 = 0 for i.
-110975, -892
Suppose -u**5/4 - 975*u**4/4 + 95077*u**3/4 - 2062753*u**2/4 - 1717098*u - 1177397 = 0. What is u?
-1066, -2, -1, 47
Factor -2*t**4 + 32164*t**3 - 179201160*t**2 + 379279162800*t - 186847884648000.
-2*(t - 5130)**3*(t - 692)
Factor -m**2/4 - 1227373*m - 1506444481129.
-(m + 2454746)**2/4
Let -2*f**4/13 - 332116*f**3/13 - 13788958050*f**2/13 - 110290410000*f/13 = 0. What is f?
-83025, -8, 0
Find i, given that 2*i**4 - 334*i**3 - 33666*i**2 - 335250*i + 1317600 = 0.
-61, -15, 3, 240
Let i**3/4 - 3859723*i**2/2 - i/4 + 3859723/2 = 0. What is i?
-1, 1, 7719446
Find g such that 4*g**3 - 74436*g**2 - 58620192*g - 11307942608 = 0.
-382, 19373
Determine p, given that 3*p**4 + 3552570*p**3 + 7105131*p**2 + 3552564*p = 0.
-1184188, -1, 0
Find o such that o**2 - 150054*o - 3451771 = 0.
-23, 150077
Let x**2/3 - 1702181*x/3 + 1702180/3 = 0. Calculate x.
1, 1702180
Solve 2*f**4/19 + 232442*f**3/19 - 2789502*f**2/19 + 10460862*f/19 - 12553164/19 = 0.
-116233, 3, 6
Solve 3*s**2/4 - 930009*s/4 + 2324985/2 = 0.
5, 309998
Suppose -9*g**3/2 + 352929*g**2/4 + 2412543*g/4 - 205947/2 = 0. What is g?
-7, 1/6, 19614
What is o in 2*o**4/3 - 200*o**3/3 + 3434*o**2/3 - 6348*o + 8640 = 0?
2, 9, 80
Find n such that 2*n**4/13 - 13938*n**3/13 - 589098*n**2/13 + 1220002*n/13 - 616968/13 = 0.
-44, 1, 7011
Find g, given that 2*g**3 - 447924*g**2 - 447930*g + 895852 = 0.
-2, 1, 223963
Determine p, given that -2*p**4/3 - 3739702*p**3/3 - 582724416982*p**2 - 1748162031850*p/3 + 3496339022500/3 = 0.
-934925, -2, 1
Solve y**3/5 + 60194*y**2/5 - 300991*y/5 + 240796/5 = 0.
-60199, 1, 4
Factor 9*h**3 + 21325380*h**2 + 21325371*h.
3*h*(h + 1)*(3*h + 7108457)
What is n in -3*n**3 + 72417*n**2 - 440079957*n + 36885425895 = 0?
85, 12027
Solve 4*z**2/7 - 28180*z/7 - 1447584/7 = 0 for z.
-51, 7096
Suppose -2*u**3/7 - 7978*u**2/7 - 363394*u + 12253949338/7 = 0. Calculate u.
-2489, 989
Solve -2*d**3/15 + 3844*d**2/15 - 443638*d/5 = 0 for d.
0, 453, 1469
Solve -7188*r**2 - 1344424*r - 50116 = 0.
-187, -67/1797
Factor -2*d**2/9 - 89932*d + 7285950.
-2*(d - 81)*(d + 404775)/9
Suppose -3*l**3 + 105882*l**2 - 2539797*l + 12591390 = 0. Calculate l.
7, 17, 35270
Factor 2*f**2/5 - 126016*f/5 - 3277768/5.
2*(f - 63034)*(f + 26)/5
What is p in p**4/9 + 479*p**3 - 143365*p**2 + 90071825*p/9 + 161051500/3 = 0?
-4596, -5, 145
Factor -14*f**2/5 + 39862*f + 113896/5.
-2*(f - 14237)*(7*f + 4)/5
Solve -2*u**5 + 226436*u**4 + 1358664*u**3 + 2717356*u**2 + 2264474*u + 679344 = 0.
-3, -1, 113224
Factor -284*o**3 - 1999356*o**2 - 3518845440*o + 49561600.
-4*(o + 3520)**2*(71*o - 1)
Find z, given that -836*z**4 + 172224*z**3 + 346128*z**2 - 3328*z = 0.
-2, 0, 2/209, 208
What is f in 4*f**4/3 - 59536*f**3 - 6792320*f**2/3 - 8341952*f - 24311360/3 = 0?
-34, -2, 44690
What is j in 2*j**4 + 15076*j**3 + 28455864*j**2 + 169952048*j - 453848192 = 0?
-3766, -8, 2
Factor -2*l**3 - 32748*l**2 - 132334818*l + 14119273168.
-2*(l - 104)*(l + 8239)**2
What is v in -v**3/5 - 22224*v**2/5 - 129113949*v/5 - 61910621326/5 = 0?
-10849, -526
What is r in -15*r**4 + 60598*r**3 + 919705*r**2 + 3162800*r + 405500 = 0?
-10, -5, -2/15, 4055
Determine m so that -m**5/4 + 12448*m**4 - 124463*m**3 + 796531*m**2/2 - 1891731*m/4 + 373365/2 = 0.
1, 3, 5, 49782
Factor -i**2/2 - 16464019*i/2 - 16464017.
-(i + 2)*(i + 16464017)/2
Find z such that z**2/2 - 21821*z/2 - 766185 = 0.
-70, 21891
Factor -2*u**3 - 1022*u**2 + 489428*u + 490448.
-2*(u - 302)*(u + 1)*(u + 812)
What is n in -9*n**5/7 - 2915669*n**4/7 - 314820755926*n**3/7 - 11325825624024000*n**2/7 + 416967261408000000*n/7 + 93218688000000000/7 = 0?
-108000, -2/9, 37
Solve g**2/7 - 1811162*g/7 + 820076947561/7 = 0.
905581
Find x such that -4*x**5 + 73616*x**4 - 1029996*x**3 + 2868784*x**2 + 1030000*x - 2942400 = 0.
-1, 1, 4, 10, 18390
Determine a so that -3*a**5 + 582*a**4 + 1347*a**3 - 33678*a**2 + 31752*a = 0.
-9, 0, 1, 6, 196
What is b in -2*b**3 + 3094*b**2 + 330232*b - 1370304 = 0?
-104, 4, 1647
Let 5*h**2 + 927340*h + 17617655 = 0. What is h?
-185449, -19
Solve 2*x**4/13 - 364
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{
"pile_set_name": "DM Mathematics"
}
|
- 0*w + 2. Let c = w - x. Solve 5*a + 2*p + 15 = c, -2*p + 5*p = 0 for a.
-3
Suppose o = -4*a - a + 175, -4*a - 2*o + 146 = 0. Suppose 0 = 2*b - 6, 5*t + 3*b - a = -0*t. Solve 0*k = -3*w - 2*k + t, 4*w - 2*k + 12 = 0 for w.
-1
Let i(z) = z**3 - 11*z**2 - z + 14. Let y be i(11). Solve 2*j - 4 = -3*k - 6, 2*k = 3*j + y for j.
-1
Let l(c) = -c**3 + 14*c**2 + 16*c - 7. Let x be l(15). Solve -s - 2 = 0, -n - s = -6*n - x for n.
-2
Suppose 3*t + x + 17 = 0, -2*t - 4 + 10 = 5*x. Let q = t + 11. Suppose 37 = 4*w - 5*k, 6*w + 4*k + 5 = w. Solve -3*i + q*d = 14, -2*i + 25 = w*i + 3*d for i.
2
Suppose 3*t - 14 = -2. Suppose p = -2*p - t*i - 17, -p + 4*i = -5. Let a = p + 8. Solve -b + m + 6 = -0*b, -4*m = a*b + 6 for b.
2
Suppose -u = -5*u + 12. Suppose 5*q = 3*c + 51, -u*q + 2*q + 4*c = -17. Solve -5*k - 10 = 4*s - q*s, -2*s + 5*k = -10 for s.
0
Let n = 4 + -4. Let t be n/((4 - 0) + -3). Solve 0 = -3*i - j, 2*i + t*j = -5*j for i.
0
Let q be (-6 - -11) + 2*1. Suppose 59 = 4*f + q. Solve o + 4*w = w + f, 0 = -o + 4*w - 22 for o.
-2
Suppose 5*s - 2*x + 8 = 0, 4*x - 5 - 11 = s. Solve 0*l = -2*l + 2, s = -2*q - 2*l - 2 for q.
-2
Suppose -6 + 1 = -g. Suppose -10 = -3*t + g. Suppose 0*u - 7 = 2*u + 3*x, 4*x + 17 = t*u. Solve -y - 5*c + 23 = 0, 0 = -y + 4*y + c + u for y.
-2
Let s(h) = -h - 2. Let w be s(-4). Suppose -w*p - 2*p + 12 = 0. Solve -3*u + 3*l = -p, -u - 16 = -2*u + 4*l for u.
-4
Let i = -10 + 13. Solve 0*q + 1 = 5*s + q, -3*q = -5*s - i for s.
0
Let b be -4 + (-1 + 9)/1. Solve 0 - b = 3*o + 5*t, 0 = 4*o + 4*t for o.
2
Let i(l) = 6*l - 44. Let q be i(10). Solve -4*y = -4*m + 16, -q = -3*m + y + 4*y for m.
2
Let m(f) = 4*f**2 + 36*f - 18. Let x(r) = r**2 + 12*r - 6. Let u(y) = -2*m(y) + 7*x(y). Let h be u(9). Solve 4*t = -5 - 3, -3*t = 3*l + h for l.
-5
Let u(g) = -g**2 - 8*g - 7. Let p be u(-6). Suppose -c - 4*d - 9 = 0, 2*d - p = 7*d. Let j be 7/2 + c/(-10). Solve -j*f = -3*s - 23, f + 5*s + 25 - 2 = 0 for f.
2
Let d = -2 + 2. Solve -4*n - 5*j + j + 24 = d, 5*n - 4*j - 21 = 0 for n.
5
Suppose -2*j - j = -12. Suppose -2*q = 4*s - 22, -5*s + 12 = 3*q - 19. Solve q = j*y + 5*b, 3*y + 3*b - 4 = 2 for y.
3
Let x be (16/(-12))/(2/(-3)). Let g = 7 - x. Solve 0 = 2*y - y - 3*f - g, 0 = -y + 4*f + 5 for y.
5
Let a(f) = f + 8. Let u be a(-6). Let d(n) = -n - 2. Let x be d(0). Let c be (-4 - -1 - x)*-5. Solve -2*p = -1 - c, 5*p = u*l + 11 for l.
2
Let a be 56/10 + 6/15. Suppose -2*k - 15 = 3*y, -k - a = y - 1. Solve -s - c + k = -4, -4*s - 20 = -5*c for s.
0
Suppose -t + u + 6 = 0, -5*t + u - 5*u + 21 = 0. Solve -5*i = -3*d + t, -1 - 16 = 3*i + d for i.
-4
Suppose -5*j - 2*m = -47, -2*j + 5*m = j - 22. Let t be 2/(-4)*(-4)/(-2). Let a be 6*t*4/(-6). Solve 3*p = 4*l - 7, -4*p - a*l - 9 = -j*l for p.
-1
Let m(h) = -h + 12. Let q be m(12). Suppose -4*w = -3*u + 20, q*u + 5*u = w + 22. Solve -2*l - 2*n = -u*l - 10, -1 = -l - n for l.
-2
Let w = 0 + -1. Let z be -5*(6/10 + w). Solve a + 2*f - 3*f - 5 = 0, z*f = -8 for a.
1
Let n = -6 - -8. Solve s - 2*a = 5*s + n, 4*a = -12 for s.
1
Suppose -20 = -5*m - 5. Suppose -m*l + 0*r - 27 = 3*r, 0 = -2*l - r - 17. Let h be (-20)/l*(3 + -1). Solve -3*p + p + n = -2, h*n = -p - 10 for p.
0
Suppose -24 = a + a. Let h = a + 7. Let b = 0 - h. Solve 5*j = -l - 4, 0*l - b*l = -3*j - 8 for j.
-1
Suppose -y - 3*x = -16, -4*y = -x + 4*x - 28. Let b = 1 + y. Let n be 0/((-4*1)/2). Solve 5*c - c - 8 = n, 2*f + 18 = b*c for f.
-4
Let s = -9 + 5. Let b(y) = -y**3 - 3*y**2 + 2*y - 5. Let w be b(s). Solve a - 8*q + 3*q + 23 = 0, 9 = -3*a + w*q for a.
2
Let n be -4 - -1 - (4 - 5). Let f be n/6 + 26/6. Solve -3*x + 9 = -5*v, -2*v + 3*v - 12 = -f*x for x.
3
Let c(t) = t**3 - 7*t**2 - 8*t - 8. Let s be c(8). Let y be (-1)/(-2*(-1)/s). Solve -y*w - 5 - 9 = 3*g, -26 = 4*w - 3*g for w.
-5
Let p(c) = -c**3 - 7*c**2 + 2*c + 16. Let b be p(-7). Solve 0*y - 5*i - 30 = 5*y, -b*y + 3*i - 7 = 0 for y.
-5
Let l = -1 - -3. Suppose -56*a - 22 = -67*a. Solve -a*u - 3*z + l*z = 6, -u - 4*z = -4 for u.
-4
Let q be (-1)/(-2)*0/3. Solve 0*j - 24 = 5*j - 4*f, -3*j + 2*f - 14 = q for j.
-4
Let j = -12 + 15. Suppose 4*d = j*d. Solve 4*t - 24 + 6 = 2*x, x - 3*t + 13 = d for x.
-1
Suppose 4*y = 2*y. Suppose -5*m + 0*m + 10 = y. Solve f = -4*s - 12, 0*f - m*f = 3*s + 4 for f.
4
Let o = -26 - -29. Solve -5*j + 0*j + 5 = 4*t, 4*t + 3 = o*j for t.
0
Suppose -63 + 15 = -4*x. Solve -4*d = d + 2*l - 6, 0 = -5*d + 4*l - x for d.
0
Let l(h) = 3*h - 16. Let t be l(7). Solve t*g - 6*r - 35 = -2*r, 4*g = r + 17 for g.
3
Let j = -22 - -40. Solve l + 3 = 2*u - 0, 3*l - j = -3*u for l.
3
Let j(t) = -4*t - 8. Let h be j(-8). Suppose q + b - 2 = 0, -h = -5*q + b + 4. Solve 0 = 5*y + 25, -3*y - 40 = q*a - 0*y for a.
-5
Let z = 37 + -26. Solve 0 = -b - 0*b - 2*u + z, -b = 4*u - 19 for b.
3
Suppose 2*f - 36 = 4*f. Let g = f + 43. Solve -q - 4*i + 10 = q, 5*i - g = 0 for q.
-5
Let m be (-1 + 7)*(-42)/(-36). Let i = -2 + m. Solve -6 = 3*z + 4*f, -4*f - 2 = z - i*f for z.
-2
Let i = -6 + 1. Let l(k) = k**3 + 6*k**2 + 2*k - 4. Let d be l(i). Solve -t = -4*a - d, -5*a + 2*t = -t + 12 for a.
-3
Let n be (-1 - -9)*2/8. Suppose 0 = -n*x - 1 + 31. Solve -x = -3*m - 3*k - 2*k, 4*k - 12 = m for m.
0
Let q = -431 - -431. Suppose 2*h - 30 = -h. Suppose -4*i - i = -h. Solve q*l - 22 = -2*k + 4*l, 4*l = -2*k - i for k.
5
Let k be ((-1)/2)/(1/(-292)). Suppose 34 = 5*t - k. Suppose -m = -0*m - t. Solve -4*n + 4 = -3*c, -3*c - 4*n - 8 = -m for c.
4
Let i be 0 + (-4 + 8)/2. Solve i*a + 13 = u, 0*a + 5 = -5*u - 4*a for u.
3
Suppose -38 = -2*m - 0*m. Suppose 47 = 3*d - m. Solve -2*s + z = 6, -2*z + z = 5*s + d for s.
-4
Let o(w) = -w - 7. Let x(y) = -y**2 - 10*y - 7. Let c be x(-10). Let q be o(c). Solve h - 2 = 3*b - q, -3*b - 26 = 5*h for b.
-2
Suppose 0 = -4*a + 4*t, 2*a - 12 = -0*a - 4*t. Solve 0*z - 30 = 3*z + 3*s, -a*s = 3*z + 25 for z.
-5
Suppose -5*p + 5*y + 15 = -0*p, -4*y + 3 = p. Let u = 11 - p. Solve x - u = -x - f, -6 = -x - f for x.
2
Let s(x) = 5*x - 2. Let d be s(3). Suppose 45 = 4*r - n, -d = -5*r + 3*n + 45. Suppose -r = -5*u + 9. Solve -u*o + 6 - 18 = 0, 5*o = 5*i + 5 for i.
-4
Suppose -4*m + 9*m = 75. Let y be 85/25 - (-2)/(-5). Suppose m = f - 4*q, 5*f + y*q = 2 + 4. Solve 3*t - 2*u + 5 = 0, -7 = 5*u + f for t.
-3
Let l be (-2 - -1)*-4 + 1. Suppose -r + j + 1 = -4, -10 = l*j. Let v be (18/r)/2 + 0. Solve 5*q - 4 = -c, -v = c - 7 for q.
0
Suppose -36 + 6 = -10*v. Solve -v = -d + 2*h, 2*d + 5*h + 9 = 24 for d.
5
Let r = 11 - 4. Solve -k - 2*h = r, 1 + 17 = -2*k - 5*h for k.
1
Let l = -17 - -20. Suppose -2 = -l*p - 5*z, 0 = -6*p + 2*p + 5*z + 26. Solve 5*j + 27 = y, y = p*j - 0*y + 22 for j.
-5
Suppose 72 = 30*s - 22*s. Suppose 0 = -4*j + 2*j + 5*z - 8, 4*j - 16 = 2*z. Solve -r + s = 2*b, 0*r + 2*r + j = 2*b for r.
1
Let j(y) = 1 + 2 - 2 - 4 - y. Let t be j(-6). Solve t*k + 16 = -z, 2*k + z + 4 = 2*z for k.
-4
Let b be (3 + -3 - -2) + 3. Suppose 1 = 3*j - b. Solve -2*t - 2*r = -6, j*t + 13 = 5*r - 2 for t.
0
Suppose -5*h - 5*k + k = 4, k = -5*h - 1. Solve b - 18 = 4*u, 0 = -2*b - 4 - h for u.
-5
Suppose -6 = d - 3*d. Suppose -2*f + 9 = o, 2*o = d*f - 0*o - 24. Solve -2*n = -3*r - 3, -n = -f*n - 15 for r.
-3
Let x(f) = -f + 4. Let m be x(0). Solve 5*w = m*c - 10, 0 = 4*w - 3*c + 14 - 6 for w.
-2
Let i be (15/2)/((-3)/(-30)). Suppose 4*v = c + i, 2*c = -v + 7*c + 14. Solve w + z - 7 = 0, 4*z - v = -0*w - w for w.
3
Let d(w) = -w**2 + w + 1. Let j be -2*(-2)/(-1 - 0). Let c be d(j). Let a = 28 + c. Solve -2*t + 2*p + a = -5, p = -3 for t.
4
Suppose 23 + 5 = 4*n. Suppose -3*g = -n*g + 28. Solve -2*a = 2*l - 8, -3*l + 2*a - g*a = -18 for l.
1
Suppose 3*q - 7 = -2*p + 6, 2*p + 5*q - 19 = 0. Suppose -g - p*g = -12. Solve -2*w - 4 = 2*w, 4*o - g*w - 24 = 0 for o.
5
Let i(a) = -193*a**2 - 2*a - 1. Let y be i(-1). Let d be 2/(-7) + y/(-84). Solve -d*n - 2*n = 2*z - 4, -z = -n + 4 for z.
-2
Suppose -5*y - 2*u = -34, 3*y + 2*u - 33 = 5*u. Suppose 2*a + 0 = y. Solve 3*s = -0*d + 3*d + 12, -22 = 2*s + a*d for s.
-1
Let u be (-110)/(-8) - (3/(-4))/3. Solve -3*f - 24 = -3*q, 0*q - 3*q + u = -f for q.
3
Let k be ((-3)/9)/((-9)/756). Solve 4*q + 0 = -4*p - 12, -4*p = -4*q - k for q.
-5
Let o(y) = y**2 + y + 2. Let m be o(-2). Suppose v - m = 2*g, g - 6*v + 20 = -v. Solve g = -i + 5*s - 1, -3*i + 5*s
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{
"pile_set_name": "DM Mathematics"
}
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**2 - 2*z - 352. Let r(g) = 6397*g**2 - 9*g - 1407. Let s(k) = 18*i(k) - 4*r(k). Find the first derivative of s(a) wrt a.
6244*a
Suppose -5*k - 3 + 102 = 2*g, -k + 3 = 0. Suppose g = 2*b - 32. Find the second derivative of b*i**4 - i - 21*i**4 + 0*i wrt i.
192*i**2
Let x(i) be the third derivative of 23/12*i**4 + 1/30*i**5 - 137/120*i**6 + 52*i**2 + 1/6*i**3 + 0 + 0*i. Find the second derivative of x(f) wrt f.
-822*f + 4
Let h(b) be the third derivative of -1063*b**7/70 - 1618*b**3/3 + 4*b**2 - 37*b. What is the derivative of h(z) wrt z?
-12756*z**3
Let w(c) be the third derivative of c**9/252 + 53*c**8/336 + c**7/42 - 7*c**5/4 - 523*c**2. What is the third derivative of w(n) wrt n?
240*n**3 + 3180*n**2 + 120*n
Let b be ((-16)/12 - -1) + 38/6. Suppose -5*i = -0*i - 4*t - b, -4*t = -2*i. Find the third derivative of 0*r**i - r**6 + 2*r**2 + 10*r**6 + 0*r**6 wrt r.
1080*r**3
Let i be 48/(-9)*((-33)/12 - -2). Find the third derivative of 0*d**5 + 37*d**i + d**5 - 32*d**2 - 9*d**2 + 4*d - 8*d + 2*d wrt d.
60*d**2 + 888*d
Let x(b) be the second derivative of -9*b**5/4 - 3*b**4/4 + 2866*b**3/3 - 622*b + 2. What is the second derivative of x(a) wrt a?
-270*a - 18
Suppose -4*p - 7*p = -22. What is the third derivative of 1629*c**p - 130*c**5 - 1693*c**2 + 52*c**5 wrt c?
-4680*c**2
Suppose -27*g + 19 + 35 = 0. What is the third derivative of -22*z**g - 4*z**4 + 27*z**2 - 5 + 14*z**4 - z**3 wrt z?
240*z - 6
Let f(q) be the second derivative of -53*q**4/6 + 1697*q**2/2 + 1847*q. What is the derivative of f(c) wrt c?
-212*c
Suppose 0 = 2*q - 7*q + 10. Let a(o) = -o**3 - 2*o**2 + o. Let r be a(-3). Find the third derivative of 3*g**6 + 6*g**6 - 6*g**q + 6*g**r wrt g.
1800*g**3
Let s(m) be the first derivative of -m**5/5 - 3977*m**4/4 + 2511*m**2 + 6621. What is the second derivative of s(d) wrt d?
-12*d**2 - 23862*d
Let w(h) be the first derivative of -142*h**6/3 + 5*h**4/4 - 698*h**3 - 4266. What is the third derivative of w(j) wrt j?
-17040*j**2 + 30
Let j(v) = -v**2 - 3*v - 2. Let z(p) = -7801*p**2 + 13*p - 2778. Let t(m) = -4*j(m) - z(m). What is the derivative of t(b) wrt b?
15610*b - 1
What is the second derivative of -2092*p - 7524*p**3 + 3779*p + 6504*p wrt p?
-45144*p
Let a = 40 + -34. Let u(b) = 13*b - 17. Let f(d) = d - 4 - 11 + 16. Let t(j) = a*f(j) + u(j). Find the first derivative of t(m) wrt m.
19
Let a(i) be the second derivative of 43*i**4/12 + 36*i**2 - 76*i. Let k(g) = -1. Let h(z) = a(z) - 2*k(z). Differentiate h(y) wrt y.
86*y
Let h(i) be the first derivative of 19*i**4/3 + 5*i**3/3 + i**2 + 51*i - 31. Let a(x) be the first derivative of h(x). Find the second derivative of a(g) wrt g.
152
What is the third derivative of -17*w**2 - 2*w**2 + 1196*w**4 + 794 + 0*w**2 - 7*w**2 + 25*w**2 wrt w?
28704*w
Let b = -6 + 35. Let w = -26 + b. Differentiate -21*q - w*q - 23 - 11*q - 2*q wrt q.
-37
Let u = 165 - 163. Differentiate -799*h**4 - 2*h**u - 3*h**2 + 817*h**4 - 19 + 4*h**2 wrt h.
72*h**3 - 2*h
Let x be (0 - -2)/(-5 - (-189)/35). What is the second derivative of -t - x*t**3 + 3*t**3 - 37*t + 20*t**5 wrt t?
400*t**3 - 12*t
Let w(a) = -a**3 - 14*a**2 - 39*a + 14. Let y be w(-10). What is the second derivative of -4 + 105*f**3 + 27 + y*f + 2*f - 8*f - 12 wrt f?
630*f
Let p(u) be the first derivative of -691*u**4/4 - 218*u**3/3 + u**2 + 1369. What is the third derivative of p(j) wrt j?
-4146
Let m(q) be the second derivative of 2*q**6/5 + 3*q**5/5 - 7*q**4/12 - 9557*q**3/6 - 3267*q. What is the second derivative of m(k) wrt k?
144*k**2 + 72*k - 14
Let u(p) = p**3 - p**2 + 4*p + 3. Let g be u(0). What is the third derivative of 19*i**3 - 16*i**2 - 94*i**g - 2*i + 2*i**2 wrt i?
-450
Suppose -4*z + 584 + 172 = 0. What is the third derivative of 381*y**3 + 7*y**4 - 187*y**3 - z*y**3 + 73*y**2 wrt y?
168*y + 30
Suppose -34*w = -40*w. Suppose w = 3*q - 15, 3*p = q + 85 - 3. What is the second derivative of b + 21*b - p*b**2 + b wrt b?
-58
Suppose 0 = -5*y + y + 12. Let n(h) = 564*h - 2253. Let z be n(4). Find the third derivative of 159*s**y - 80*s**z - s**4 - 79*s**3 + 25*s**2 wrt s.
-24*s
Let t = -4434 + 4440. Let j(f) be the second derivative of 11/3*f**3 + 0 - 30*f - t*f**2. Differentiate j(z) wrt z.
22
Suppose -6 = -5*v - 2*a, 2*a + 1 = -v - 1. Suppose n = -2*q + v, -q + 2*q + 5*n + 8 = 0. What is the first derivative of -42 + 9 - 7*i + q*i - 4*i wrt i?
-9
Suppose 44 + 31 = -25*j. Let w(r) = -2*r**2 + r + 1. Let k(c) = -2*c**2 - 2*c - 73. Let q(p) = j*w(p) - k(p). What is the first derivative of q(u) wrt u?
16*u - 1
Suppose -23*l + 86 = -21*l. Find the second derivative of -l*o**2 + 16*o + 30 - 30 - o wrt o.
-86
Find the first derivative of 1848*z**2 - 69*z - 145 - 465 - 1852*z**2 - 181*z wrt z.
-8*z - 250
Let y(c) = -60*c**2 + c. Let h(t) = 7434*t**3 + 118*t**2 + 7716*t. Let i(k) = -h(k) - 2*y(k). Find the third derivative of i(f) wrt f.
-44604
Suppose -34 + 37 = h. What is the third derivative of -218*a**h - 94*a**2 + 112*a**2 - 121*a**2 wrt a?
-1308
Let n be ((54/12 + -3)*-15)/(-3). Let o(b) be the second derivative of -10*b + 1/20*b**5 + 0*b**4 + 0*b**3 + n*b**2 + 0. Differentiate o(d) wrt d.
3*d**2
Suppose t = 2*b + 18, 5 = -3*t + b + 64. Find the first derivative of -3*v**2 + t*v**2 - 10*v**2 + 2*v + 5*v**4 - 97 - 7*v**2 wrt v.
20*v**3 + 2
Let n be 1 + (-10)/6 - (-253)/33. Find the first derivative of n - 21*o - o + 9 + 24 wrt o.
-22
Let t(l) = l**3 + 22*l**2 + 15*l - 46. Let r be t(-21). Find the first derivative of -r*z**3 + 127*z**3 + z**3 - 117 wrt z.
144*z**2
Let t(u) be the first derivative of 1721*u**2 + 6057*u - 4935. Differentiate t(d) with respect to d.
3442
Let o(u) = -u + 1. Let k(m) = 19*m - 89. Let x be k(5). Let s(f) = 72*f - 29. Let r(j) = x*o(j) - s(j). Differentiate r(t) with respect to t.
-78
Let y(b) be the third derivative of b**7/105 + b**6/120 + b**4/24 - 145*b**3/3 + b**2 + 15*b + 5. Differentiate y(u) wrt u.
8*u**3 + 3*u**2 + 1
Let f(u) = -2387*u**3 + 9*u**2 + 18*u - 17. Let r(i) = 1193*i**3 - 4*i**2 - 9*i + 9. Let m(j) = 4*f(j) + 9*r(j). What is the second derivative of m(y) wrt y?
7134*y
Let o(x) be the first derivative of 2*x**5/5 - 2561*x**4/4 - 927*x**2 - 2721. Find the second derivative of o(l) wrt l.
24*l**2 - 15366*l
Let p(r) = 5*r - 15. Suppose l = -5*n + 61 - 17, 2*n + 64 = 3*l. Let o(w) = 1. Let m(v) = l*o(v) + 3*p(v). What is the derivative of m(t) wrt t?
15
What is the second derivative of 1068*w**2 + 85 - 383 - 522 - 13*w + 52 + 11*w wrt w?
2136
Let m(a) = 2898*a**3 + 6*a**2 - 1251. Let v(x) = -5797*x**3 - 13*x**2 + 2507. Let y(h) = -13*m(h) - 6*v(h). What is the derivative of y(n) wrt n?
-8676*n**2
What is the second derivative of 662*s + 3446*s**3 - 3696*s + s**2 - 2077*s wrt s?
20676*s + 2
Let u(f) be the second derivative of -1/3*f**4 + 41/2*f**2 + 1/6*f**3 - 3 - 4*f. Differentiate u(j) with respect to j.
-8*j + 1
Let p(z) be the second derivative of 601*z**5/10 - 1205*z**4/12 - 186*z. Find the third derivative of p(l) wrt l.
7212
Let c(v) be the third derivative of 0*v + 0*v**4 - 1/3*v**3 + 3/10*v**5 + 48 - 2*v**2 - 19/60*v**6. Find the third derivative of c(i) wrt i.
-228
Let n(q) = q**2 + 8*q + 18. Let f be n(-4). What is the second derivative of -4*a - 23*a**f + 5 + 8*a**5 + 5 + 19*a**2 - 3 wrt a?
160*a**3 - 8
Suppose 15 = 33*x - 32*x. Find the third derivative of 110*z**3 - x*z**2 - 51*z**3 - 62*z**2 wrt z.
354
Let f(x) = 25*x - 16. Let c be f(1). Find the third derivative of 10*u**3 + 28*u**3 + 19*u**3 + 42*u**4 - c*u**3 - 109*u**2 - 44*u**4 wrt u.
-48*u + 288
Let q(a) be the second derivative of 0 + 0*a**6 + 9/20*a**5 + 5/3*a**3 - 78*a + 1/2*a**2 + 0*a**4 + 1/21*a**7. What is the second derivative of q(l) wrt l?
40*l**3 + 54*l
Suppose -3*h + 2*h = -4*i + 17, -h = 5. Let j be 2 - (-2)/(-8)*(-3 + i). Find the first derivative of -27*r**j - 7847*r + 7847*r + 40 wrt r.
-54*r
Let a(z) be the second derivative of 2467*z**6/30 + 2383*z**2/2 - 3367*z. Differentiate a(j) with respect to j.
9868*j**3
Let y(i) be the third derivative of 1/2*i**7 - i + 32/3*i**3 + 0*i**4 - 11*i**2 + 0*i**6 + 0 + 0*i**5. What is the derivative of y(n) wrt n?
420*n**3
Let c be (4/(96/54))/(9/2640). Find the second derivative of -q - 663*q**2 + 5 + 14*q + 2*q**4 + c*q**2 wrt q.
24*q**2 - 6
Let s = 1179 + -1179. Let v
|
{
"pile_set_name": "DM Mathematics"
}
|
suming q is positive.
q**(-685/84)
Simplify l/((l*l*(l*l/(l*l/(l*((l*l*l**(-2)*l*l)/l)/l)))/l*l)/l)*l/l**(-17) assuming l is positive.
l**17
Simplify o**(-2/65)*o*o*o**(2/31) assuming o is positive.
o**(4098/2015)
Simplify o*(o**0*o)/o*o**(-2/7)*o*(o**6/o)/o*o*o/(o/o**(3/5)) assuming o is positive.
o**(256/35)
Simplify t*t*t*t**(5/8)*(t/((t/(t/(t**(-1/4)/t*t)))/t)*t)/t assuming t is positive.
t**(47/8)
Simplify (d/(d**(-26)/d))/(d**(2/45)*d) assuming d is positive.
d**(1213/45)
Simplify (y**1/y**(-1))**15 assuming y is positive.
y**30
Simplify (h/(h*h*h**(-1/2)/h*h*h)*h)**(-45)/((h**5/h)/((h*h**(-10)*h)/h*h)) assuming h is positive.
h**(21/2)
Simplify ((d*d**0*d)**30)**(-15/4) assuming d is positive.
d**(-225)
Simplify l**(-11)/(l/((l**(-26)*l)/l)) assuming l is positive.
l**(-38)
Simplify n**(-9)*n*n**(2/7)*n**(-1/2)/(n*(n*n*n/(n/n**(-4/3)))/n) assuming n is positive.
n**(-373/42)
Simplify ((t**2)**(-16/7))**(-2/29) assuming t is positive.
t**(64/203)
Simplify ((j/((j**(-1)*j)/j))/j*j*j**(5/7)/j)**(2/13) assuming j is positive.
j**(24/91)
Simplify x**(-2)*x**6*(x**(-1))**(-7/4) assuming x is positive.
x**(23/4)
Simplify u**(2/35)/u**44 assuming u is positive.
u**(-1538/35)
Simplify (z*z**(1/3)*z*z/z**(-1/11)*z)/(z**1*z)**(-49) assuming z is positive.
z**(3380/33)
Simplify x**(-3)*x/x**(2/3)*(x/((x**(-2/7)/x)/x))**(10/9) assuming x is positive.
x**(62/63)
Simplify (d*d/(d/d**(3/4))*d*d)/((d*d**26*d)/d) assuming d is positive.
d**(-93/4)
Simplify ((l**(-9/7)*l)/l*l)/(l**(-15)/l) assuming l is positive.
l**(110/7)
Simplify (b**(4/17)*b*(b/(b/(b/b**(-10/3)*b)))/b)**20 assuming b is positive.
b**(5680/51)
Simplify (b/((b*(b*b**5*b)/b)/b)*b)**(2/39) assuming b is positive.
b**(-8/39)
Simplify ((o/o**(-2/7))**(-9/11))**1 assuming o is positive.
o**(-81/77)
Simplify (z**(-17)/((z*z*z**(-4)*z)/z))**(15/8) assuming z is positive.
z**(-225/8)
Simplify (r**10*r)/r*r*r**(3/4) assuming r is positive.
r**(47/4)
Simplify (f**(-6))**(-1/6) assuming f is positive.
f
Simplify (n**(1/12)/n*n**(2/23)/n)**(3/7) assuming n is positive.
n**(-505/644)
Simplify a**9*a/((a/(a**23*a))/a) assuming a is positive.
a**34
Simplify t**(-6)*t*t**0 assuming t is positive.
t**(-5)
Simplify ((j**(-11)/j)/(j/(j/(j*j*j**(-2/5)))))**(2/39) assuming j is positive.
j**(-136/195)
Simplify (p**3/p**0)/((p/(p/(p*(p**(2/21)*p)/p)*p))/(p*p**4*p)) assuming p is positive.
p**(187/21)
Simplify (v*(v/v**(-9))/v*v/(v*v**(-7)))/(v**(2/7)*v*v/((v/((v*v**(-6))/v))/v)) assuming v is positive.
v**(145/7)
Simplify (x**(-1/9))**(10/11) assuming x is positive.
x**(-10/99)
Simplify (o**(6/7))**(-21) assuming o is positive.
o**(-18)
Simplify (r**(-1))**(2/11)*(r**(-1/4)/r)**44 assuming r is positive.
r**(-607/11)
Simplify (i**(-10))**(-7) assuming i is positive.
i**70
Simplify ((q**(-3))**(-48))**5 assuming q is positive.
q**720
Simplify j*j/j**(7/2)*j*j**(-6) assuming j is positive.
j**(-13/2)
Simplify (r**6/r**6)**(-26) assuming r is positive.
1
Simplify (((j/(j*j**(1/5)))/j)/j**2)/(j**(-2/13)/j**2) assuming j is positive.
j**(-68/65)
Simplify (u**2*u)**(-4/19) assuming u is positive.
u**(-12/19)
Simplify m*m**35*m**46*m assuming m is positive.
m**83
Simplify (z/((z/z**5)/z)*z*z/(z**(1/3)*z)*z)**43 assuming z is positive.
z**(989/3)
Simplify (h**(-18)*h**(-6/11))**(-3/14) assuming h is positive.
h**(306/77)
Simplify ((t*t/t**(-1))**31)**(8/19) assuming t is positive.
t**(744/19)
Simplify (c**18*c)/c*c*c*c**9/c assuming c is positive.
c**28
Simplify z/(z/z**(-3))*z**(2/33)*z assuming z is positive.
z**(-64/33)
Simplify (o/(o*o/(o**(6/11)*o))*o*o)/o*(o/o**(7/6))/o assuming o is positive.
o**(25/66)
Simplify (s/s**(1/8)*s**(-8)*s)/(s**7/((s**3/s*s)/s)) assuming s is positive.
s**(-89/8)
Simplify (q**1)**19/((q/(q/((q**(-1/3)*q)/q)))/(q**2/q*q)) assuming q is positive.
q**(64/3)
Simplify ((v**(-2/27)*v)/(v*v**(1/10)))**(-1/16) assuming v is positive.
v**(47/4320)
Simplify ((g**1/g)/(g*g/g**(-5/2)))/((((g*g/(g/g**(-3/7)))/g)/g)/(g*g/(g*g*g**(-1/3)))) assuming g is positive.
g**(-115/42)
Simplify f*f**(-2/5)*f*(f*(f/f**(2/7))/f*f)/f assuming f is positive.
f**(81/35)
Simplify w**(-7)*w**3*w**3/w*w**4/w assuming w is positive.
w
Simplify (u/(u**(-2/3)/u)*u)**(-10)*(u*u**(-1)*u)**(-38) assuming u is positive.
u**(-224/3)
Simplify z/z**2*z**(1/10)/z*z**(2/7)*z**(-1/7) assuming z is positive.
z**(-123/70)
Simplify a*a/a**36*a/a**(-3/2) assuming a is positive.
a**(-63/2)
Simplify (x**(-2/3))**(9/2)/(x/x**(2/7)*x*x/x**(-2)) assuming x is positive.
x**(-54/7)
Simplify p/(p**(2/15)*p)*p/p**4 assuming p is positive.
p**(-47/15)
Simplify (s**(2/27))**(-19) assuming s is positive.
s**(-38/27)
Simplify ((j*j*j/(j/((j/j**(1/6))/j)))**(-50))**(2/91) assuming j is positive.
j**(-550/273)
Simplify (i/((i/i**2)/i))**(1/6) assuming i is positive.
sqrt(i)
Simplify ((o*o**2*o*o)/o)**(-2/35)/(o**(2/19)/(o/o**8)) assuming o is positive.
o**(-4877/665)
Simplify (z/(z**(-4/17)*z))/(z**4/z) assuming z is positive.
z**(-47/17)
Simplify (i/(i*i*i**(-5)/i*i))/(i**2*i)*(i**(-1/3)*i)/(i*(i**3*i)/i) assuming i is positive.
i**(-7/3)
Simplify f*(f*f/((((f*(f/f**(-1))/f)/f)/f)/f))/f*f*f*f/(f/(f/(f/((((f/(f*f**(-23)*f*f))/f*f*f*f)/f)/f)*f))) assuming f is positive.
f**25
Simplify (k**(-2/7))**(-3/2)/(k/(k/k**1)*k*k/k**0*k) assuming k is positive.
k**(-25/7)
Simplify (g/((g/((g/((g*g**(-6))/g))/g))/g)*g**4)/(g**9*g/(g*g/(g*g**(-5)))) assuming g is positive.
g**7
Simplify f**(3/2)/f**(-8)*f**8*f/(f*((f/((f**1*f)/f)*f)/f)/f*f) assuming f is positive.
f**(35/2)
Simplify (b**7/b)**(-1/76) assuming b is positive.
b**(-3/38)
Simplify g*(g/(g*g*g*g*g**2)*g)/g*g*g*g**(2/9) assuming g is positive.
g**(-16/9)
Simplify (a/(a/((a*a**(-2/77)*a)/a)))/(a*a**13) assuming a is positive.
a**(-1003/77)
Simplify (v/v**(-6))**(13/7) assuming v is positive.
v**13
Simplify h**14/(h/h**16) assuming h is positive.
h**29
Simplify (f**(3/10)/(f*f**(8/7)*f))**(-37) assuming f is positive.
f**(7363/70)
Simplify (u**5*(u/(u*u/u**(-3/7)))/u*u)**49 assuming u is positive.
u**175
Simplify o*(((o/(o/(o/o**(-38))))/o*o)/o)/o*o/(o**(-2)*o) assuming o is positive.
o**40
Simplify ((o**(1/5)/o)/(o*o/(o/(o*o/(o*o**(-5))))))**(-5) assuming o is positive.
o**39
Simplify ((o/(((o*o**(-1/23))/o)/o))/o)**50 assuming o is positive.
o**(1200/23)
Simplify (h**0)**(18/5)*((h/(h/(h*h*h**(-9)*h*h)))/h*h)/h*h**0/h assuming h is positive.
h**(-7)
Simplify (d*d*d**(2/3)/d*d)**(-3/11)*(d/d**(-1/2)*d)**(-29) assuming d is positive.
d**(-1611/22)
Simplify v/v**(2/9)*v*v**5*v*v*v**1*v*v/(v*v*v**7*v) assuming v is positive.
v**(16/9)
Simplify (l**(-3)/l**(-1/3))/(l**(2/9)/(l**(-1)*l)) assuming l is positive.
l**(-26/9)
Simplify (a**(2/9))**(-9/8) assuming a is positive.
a**(-1/4)
Simplify c**6/c**(-2/13) assuming c is positive.
c**(80/13)
Simplify ((q*q**(-10))/(q**(2/13)*q))/(q*q/(((q**(1/5)/q)/q)/q))**8 assuming q is positive.
q**(-3156/65)
Simplify ((t/t**(-5/2)*t*t)/t**(-2/9))**(-13) assuming t is positive.
t**(-1339/18)
Simplify ((c**(-4/3)/c)/c)/(c/(c**5*c)) assuming c is positive.
c**(5/3)
Simplify (z/(z/(z*z*z*z/z**(4/13)))*z)/z**(-1/8) assuming z is positive.
z**(501/104)
Simplify (r**3/r)/(r*r**2)*r/(r**(-7)/r*r)*r/r**6 assuming r is positive.
r**2
Simplify f**6*f**16*f assuming f is positive.
f**23
Simplify (b*b**(2/5)/b)**26*((b*b*b/b**2*b*b*b*b)/b*b)/(b*b*b*b**(-7)) assuming b is positive.
b**(97/5)
Simplify (t/t**(-4/3))/(t*t/((((t**9*t)/t)/t)/t))*(t**2/t)**(-7) assuming t is positive.
t**(1/3)
Simplify (s*(s*s**(-2)/s)/s*s*s)**(-48)/(s/s**(1/13)*s**(-2/11)) assuming s is positive.
s**(-106/143)
Simplify k*k**15/k*k*(((k/(k/(k*k**(-3/2)*k)))/k)/k*k)/k*k assuming k is positive.
k**(31/2)
Simplify (d/(d*d/(d/(d*d**(-6)*d))))**(-40) assuming d is positive.
d**(-160)
Simplify (q*q/q**(3/14))/q**(2/19) assuming q is positive.
q**(447/266)
Simplify k**(-5/4)/(k**(-3/26)*k) assuming k is positive.
k**(-111/52)
Simplify (p**(2/7)*p*p**(-1/7))/(p**0*p)**(4/3) assuming p is positive.
p**(-4/21)
Simplify (f/f**(-5/3))**1 assuming f is positive.
f**(8/3)
Simplify x**(4/7)*x/(x**0*x)*(x**(-2/7))**(-35) assuming x is positive.
x**(74/7)
Simplify c/c**(-4)*c**(-3/2) assuming c is positive.
c**(7/2)
Simplify p**(-8)*p/(p*((p/(p/(p**(-4)*p))*p*p)/p)/p)*p/p**(-8)*p**6 assuming p is positive.
p**10
S
|
{
"pile_set_name": "DM Mathematics"
}
|
of -x**4/8 - x**3/3 - 7*x**2. Give a(-2).
4
Let p = 7 - 7. Let d(g) = -2 + p*g - 5*g**3 + 3 - g. Suppose 0 = -m - a, a = 4*m - 4*a - 9. Give d(m).
-5
Let j(q) = 2*q**3 + 5*q**2 + 13*q - 10. Let c(n) = n**3 + 3*n**2 + 6*n - 5. Let l = 18 + -13. Let u(x) = l*c(x) - 2*j(x). Calculate u(-4).
-5
Suppose n + 6 = 3. Let i = n + 3. Let g(j) = -j**2 - j + 3. What is g(i)?
3
Let w(r) = 7 - 2*r + 0*r + 0*r - r. Let f(k) = 70*k - 91. Let c(z) = 7*z - 9. Let y(b) = -49*c(b) + 5*f(b). Let n(a) = -13*w(a) - 6*y(a). Calculate n(-5).
8
Let n be 20/(-4)*(-4)/10. Suppose -2*h - 2*b = 0, 0 = 3*h - 2*b + 7 - 22. Let q(f) = h*f - 3*f**3 - 2*f**2 - 2*f + 4*f**3. What is q(n)?
2
Let m(l) = l**3 + 9*l**2 - 5. Let w be m(-9). Suppose -4*h - 12 = -5*g, g - 6 = -h + 3*h. Let k(n) = -5*n**2 + 1 + g*n**2 - 3 - n**3. What is k(w)?
-2
Let b(r) be the first derivative of -r**5/60 - r**4/24 + r**3/3 - 2*r**2 + 4. Let y(u) be the second derivative of b(u). Calculate y(-2).
0
Let v(l) = -l - 5*l + 2*l - 4*l. Let d(s) = -4 + 1 - s + 3. Let t(q) = -4*d(q) + v(q). What is t(-2)?
8
Let h(i) = 8 - 8 - 5*i + i. Determine h(-3).
12
Let u(c) = -2 + c**2 - 2*c**2 + 11*c - 3*c - 2. Give u(8).
-4
Let j(k) = 95*k**2 + 3*k - 47*k**2 - 47*k**2. Suppose -39 = -4*n + 3*r, -2*r = -4*n - 5*r + 9. Suppose -p - n = p. What is j(p)?
0
Let a(h) = 20*h**3 + 10*h**3 - 39*h**3 + 1 - h**2. Determine a(1).
-9
Let g be 30/(-3) - -3 - -2. Let v(t) = -t**3 - 4*t**2 + 6*t + 1. Determine v(g).
-4
Let k(h) = -3*h - 2. Let q(o) = o**2 + 6*o - 3. Suppose 0 = 4*y + 5*w + 44, -y + w = -2*y - 10. Let c be q(y). Calculate k(c).
7
Let z(u) be the second derivative of u**6/144 - 5*u**4/12 - 5*u. Let y(i) be the third derivative of z(i). Determine y(2).
10
Let h(i) = -i - 7. Let r(l) = -l - 15. Let w be r(-10). Give h(w).
-2
Let m be 1 + -2 + 2 + -1. Let j(o) = m - o - 4 + 0. Calculate j(3).
-7
Let d(m) = -m**3 + 2*m**2 + 2*m - 3. Let f = 62 - 60. Calculate d(f).
1
Let s(g) be the first derivative of g**2 + 6*g + 15. What is s(-5)?
-4
Let o(a) = a**2 - 5*a + 7. Suppose 15 = -5*q + 45. What is o(q)?
13
Let i = -3 + 5. Suppose -v = i*v + y - 9, 0 = -v - y + 5. Let w(x) = x**2 - 2*x - 1. Determine w(v).
-1
Let r(x) = -x**2 + 0*x**2 + 3 - 753*x + 755*x. Determine r(4).
-5
Let o(k) = 5*k**3 + 16*k**2 - 21*k - 16. Let b(d) = -d**3 - 4*d**2 + 5*d + 4. Let s(q) = 9*b(q) + 2*o(q). Suppose 4*p + 11 - 23 = 3*t, 0 = -4*t. Determine s(p).
4
Let y = 23 + -13. Suppose -3*c - 2*c = -5*r + y, 2*r - 7 = -c. Let g(t) = -3*t**2 + 2*t**2 - 6 + 4*t + 4. Determine g(r).
1
Let l be 8*1 - (-5)/(25/(-20)). Let x(t) = t**3 - 2*t**2 - 5*t - 3. Give x(l).
9
Suppose 8 = -2*o + 4*o. Let g(x) = -2*x**2 + 11*x + 3. Let u(n) = n + 3. Let b be u(-6). Let p(s) = s**2 - 6*s - 2. Let c(r) = b*g(r) - 5*p(r). Calculate c(o).
5
Let d(f) = -f**2. Let v(t) = 6*t - 2. Let q be v(3). Let w = -13 + q. Determine d(w).
-9
Let y(k) = -k**2 - 11*k - 14. Let s be y(-10). Let p = s - -8. Let o(t) = -2 - 3 + 2*t + 0*t**2 - 4*t + t**2. Determine o(p).
3
Let y(s) = 21*s**3 - 38*s**3 + 8*s - 9*s**2 + 18*s**3 + 3. Calculate y(8).
3
Let j(c) = c**3 - c - 1. Let r(q) = 7*q**3 - 4*q**2 - 13*q - 3. Let a(z) = 6*j(z) - r(z). Determine a(5).
7
Let f be (2 - (-24)/(-10))*10. Let u be (-4)/5*30/f. Let h(p) = p**2 + 7*p - 7. Let k(g) = g**2 + 8*g - 8. Let v(j) = u*k(j) - 7*h(j). Determine v(-2).
-1
Let f(i) be the first derivative of -i**4/2 - i**2 - 2*i - 15. Determine f(-2).
18
Let h(g) = g**2 - 12*g + 22. Let c be h(10). Let n(r) = 5*r**2 - 3*r - 2. Let z(v) = 6*v**2 - 3*v - 2. Let t(y) = -5*n(y) + 4*z(y). Determine t(c).
4
Let l(b) = -3*b - 3. Let g be l(-2). Let a = g + -3. Let n(d) be the second derivative of d**4/12 + d**3/6 - 4*d**2 + d. Calculate n(a).
-8
Let f(k) = -k - 3. Let y be f(-8). Suppose 4*g + 3 + y = 0. Let v(r) = -1. Let i(u) = 5*u - 3. Let t(d) = i(d) - 5*v(d). Calculate t(g).
-8
Suppose 0 = -5*a - r + 32 + 6, 4*r = -3*a + 33. Let q(y) = a*y - 3 - y - 4*y. Calculate q(5).
7
Let d(v) = -v**2 - 5*v - 1. Let j be 5*1*24/(-20). Calculate d(j).
-7
Let f = 3 + -8. Let d(b) = b + 4. Let o be d(-4). Let r(c) = -5 - c - 2*c + o*c. What is r(f)?
10
Let i(f) = -f**2 - 6*f + 8. Let d be i(-8). Let z(m) = m + 12. Calculate z(d).
4
Let m(g) = g**3 + 4*g**2 - 7*g - 6. Let v(y) = y**2 + y + 5. Let t be v(0). Suppose -9 = -t*w - 34. Calculate m(w).
4
Let s be -1*3*(-15 + 16). Let p(m) = -m**3 - 4*m**2 - 5*m - 3. Calculate p(s).
3
Let d(v) = 1 + 5*v**2 - 4*v**2 - 6*v + 2 + 0. What is d(6)?
3
Let h(j) = -8*j**2 + 1. Let u = 64 - 65. What is h(u)?
-7
Let c(i) = -i + 5*i**3 - 5*i**3 + 7*i**3 - 1 - 8*i**3. Calculate c(-2).
9
Let m(r) = 24*r + 9. Let v(w) = -13*w - 5. Let p(z) = 6*m(z) + 11*v(z). Calculate p(4).
3
Suppose 0 = -z + 3 - 1. Let g(v) = -v - 2*v + 2*v**2 - z + 6*v. Determine g(-3).
7
Let a(b) = -b**2 - 2*b - 1. Let y be a(-1). Let h(x) = -x**2 - x - 14. What is h(y)?
-14
Let h be 5 + 1/(1/1). Suppose -c + h*c = -35. Let o(x) = x**3 + 7*x**2 + x + 7. Let y be o(c). Let r(q) = -q + 6. Give r(y).
6
Suppose -h = 2*o + 11, h + 35 = -5*o - 4*h. Let a(v) be the second derivative of -v**4/12 - 2*v**3/3 - 3*v**2 - 3*v. Determine a(o).
-6
Let z(g) = 2*g**2 - 5*g - 3. Let v be 0 - (-5 - (-1)/1). Determine z(v).
9
Let n be (2/5)/((-2)/20). Let y(z) = -z**3 - 5*z**2 - 4*z - 2. Determine y(n).
-2
Suppose -14 = -3*s + 1. Let b(x) = -x + 4. Let m(i) = i - 4. Let f(q) = 7*b(q) + 6*m(q). Calculate f(s).
-1
Let p(n) = n**2 - 2*n - 1. Suppose -2*t - 4 = 0, -t = -4*s + s + 11. Determine p(s).
2
Let h(v) = -4*v**3 + v**2 + v - 1. Let b(k) = k**3 + 10*k**2 + 8*k - 8. Let r be b(-9). Give h(r).
-3
Let o = -15 + 18. Let y(v) = -v - 2. Suppose 7*t + 27 = 3*t - d, 3*t - 2*d + 12 = 0. Let m(w) = -1. Let b(k) = t*m(k) + y(k). Determine b(o).
1
Suppose 3*s = 4*z - 11, -8 = -s - 5*z + 1. Let q(l) = 5*l + 1. Calculate q(s).
-4
Suppose 2*u - 2*n - 16 = 0, -2*u + 0*n + 4*n + 26 = 0. Suppose u = d - 1. Let a(i) = -i + 7. Calculate a(d).
3
Let n(r) = -5*r**2 + 0*r**2 - 312*r**3 + 311*r**3 + 2 + 0*r**2 - r. What is n(-5)?
7
Let k(j) be the third derivative of -j**7/2520 + j**6/240 + j**5/60 + j**4/6 - j**2. Let l(y) be the second derivative of k(y). Determine l(4).
-2
Let b(k) = -k**3 - 5*k**2 + 1. Let s = -8 + 10. Let j(i) = -8*i - 1. Let w be j(-2). Suppose s*n + w = -n. What is b(n)?
1
Let d(q) = -16*q**3 + q**2 + 2*q + 1. Suppose 1 = 7*x + 8. Calculate d(x).
16
Let s(p) = 6*p + 1. Let n(t) = -3 - 4*t - 7 + 14*t - t**2. Let o be n(9). Let g be 0 + 0 + (o - 1). Determine s(g).
-11
Let h(l) be the second derivative of l**5/20 - l**4/3 - 50*l + 1. What is h(3)?
-9
Suppose -a = 0, -3*n + 5 = -2*n - 3*a. Suppose -5*r - i + 15 = 0, -n + 0 = i. Let p(z) = 0*z**2 - z + z**2 - 1 + 0*z + r*z. Give p(-4).
3
Let t = 7 - 2. Let n(j) be the first derivative of j**4/4 - 4*j**3/3 - 3*j**2 + j + 2. Give n(t).
-4
Suppose -2*g - 1 = 5*m - 2, 2 = -2*m - 2*g. Let h(p) = 7*p + 1. Calculate h(m).
8
Let i(m) = m**3 - 4*m**2 - 2*m + 1. Suppose 9*n - 10*n = -3. Determine i(n).
-14
Let f be (-7)/4*(-6 + 2). Let t(c) = c**3 + f*c**2 + 7*c + 9 - 10 + 4. Determine t(-6).
-3
Let c(l) = -7 + 17*l - 41*l + 9*l + 14*l. Calculate c(-3).
-4
Let t(o) be the third derivative of o**6/120 + o**5/15 + o**3/3 + o**2. Let a be t(-4). Let x(n) = -2*n + 5 - 2 + 0*n**2 + n**3 + 2*n**2 - n**2. Give x(a).
11
Let t(p) be the third derivative of p**5/20 + p**4/24 + 40*p**2. Determine t(-2).
10
Let c be 20*(6/(-15))/(-1). Let w(g) = -2*g + 8. Give w(c).
-8
Let a(s) = -s - s - 3 - 3*s - s - s**2. Let t = -3 + 3. Let d be (-5)/2*(2 + t). What is a(d)?
2
Suppose 0*z = z. Let v(a) = -a**3 + a**2 + a + 15. Determine v(z).
15
Let y(j) = -11*j + 7. Let p(w) = -21*w + 13. Let v(u) = -4*p(u) + 7*y(u). Determine v(2).
11
Let a = -235 - -230. Let y(v) be the first derivative of -2*v**3 - 1/4*v**4 - 2*v**2 - 1 - v. Determine y(a).
-6
Let d(a) = -a**2 - 10*a - 8. Suppose -5*h + 0*h - 45 = 0. Let t be d(h). Let s(f) = -6*f**2 + 2*f - 1. Calculate s(t).
-5
Let j(f) = -f**2 - 5*f. Let x be j(-5). Let w(k) = x*k - k + 5*k - 4. Calculate w(3).
8
Let z(x) = 3*x**2 - 3*x - 6. Let a(q) = -q - q**2 + 0*q - 34 + 33. Let d(m) = 2*a(m) + z(m). Give d(6).
-2
Let p(f) be the third derivative of -f**4/24 - f**3/2 + 22*f**2. Calculate p(7).
-10
Let g(f) = -f**3 - 7*f**2 - 6*f - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to 1? (a) 0.01 (b) -4 (c) i
a
Let x = 414 - 409. Which is the closest to 0? (a) x (b) 3 (c) -9 (d) -3/4
d
Let d = -19112 + 133788/7. What is the closest to 0 in 0.09, d, 2/215?
2/215
Let w = -21190 - -21194. Let r be (2 - 4/2)/3. Which is the closest to 2/3? (a) 1 (b) w (c) -17 (d) r
a
Suppose 2*z - 3*y - 22 = -8, 0 = 5*z - 2*y - 2. Let f = -4 - -3. Let s be (-6)/21 + (-19)/7. What is the nearest to -1/2 in z, s, f?
f
Let w = 44541 - 44541.1. Let k = 0.05 + 0.05. What is the closest to k in w, 3, 0, -5?
0
Suppose 16 = -5*r + 7*r. Let k = r + -4. Let o be 4*96/(-60) + 7. What is the closest to k in 3, o, 0.2?
3
Let k = 0.04493 - -25.95507. Which is the nearest to k? (a) 2/3 (b) 2 (c) 3 (d) 2/11
c
Let w = 8236 + -8257.6. Which is the nearest to -2? (a) w (b) 1/2 (c) 3 (d) 0.1
d
Let u = -4.3 + 0.3. Let d = -425/11 + 1253/33. Which is the nearest to -2? (a) d (b) 4 (c) u
a
Let v be (6/7)/((-950)/133 - -7). Which is the nearest to 0? (a) -3 (b) -2 (c) v (d) 0.04
d
Let q = 6/131 - -220/917. Let w = 34 + -30.2. Let i = w - 0.8. Which is the nearest to q? (a) 1 (b) i (c) 4
a
Let w be (1/(-3))/(4/(-12)). Let d = -1534 + 1878.2. Let b = d + -344. What is the nearest to b in -0.4, w, -2/19?
-2/19
Let m = -32489/31 - -1048. Which is the nearest to -1/3? (a) m (b) 5 (c) -3 (d) -5
a
Let n = -34.368 + 0.368. Let b = -38 - n. Let i be 2/(14*(-2)/(-4)). What is the nearest to -0.2 in i, 2/5, b?
i
Let r be ((-1)/2)/(2/(-8)). Let l(z) = z**2 - 214*z + 646. Let s be l(3). What is the nearest to s in -3, 3/7, r?
r
Let v be -8*(-3)/42 - (-54)/(-2016)*-100. Which is the closest to 0.2? (a) -0.1 (b) 2 (c) v
a
Let x be 1/4 + (-5)/36. Let t = 400 - 314. Let f = 85.8 - t. Which is the nearest to -1/2? (a) f (b) x (c) 3
a
Let x = -44 - -48. Suppose x*z = -4*y + 2*z + 76, 0 = -3*y + 5*z + 31. Let w = y - 18. Which is the nearest to -1? (a) 5/3 (b) -2/5 (c) w
c
Suppose 0*a + 2*l = 4*a - 508, 0 = a - 2*l - 121. Let j = -391/3 + a. Let n = -3.10384 - -0.10384. What is the nearest to -1 in j, n, 8?
j
Let z = 129 - 129. Let l = 33 - 38. Which is the nearest to z? (a) -0.1 (b) 3 (c) l
a
Let g be 874/456 + (-18)/8. Which is the nearest to -20/3? (a) -0.05 (b) g (c) 2/3
b
Let h = 245.33 + -245.53. What is the closest to -1 in -0.6, 0.3, 3.6, h?
-0.6
Let z = 2814 - 2809. Which is the nearest to 1? (a) 2 (b) 0.4 (c) z (d) 0.9
d
Let j = -0.235 + 12.035. Let v = -20.2 - j. What is the nearest to v in 0.5, 1/4, -3?
-3
Suppose -i - 4*i + 3*k = -16, -i - 7 = -4*k. Let a = 311 + -316. What is the closest to 3/2 in a, i, 1?
1
Let j = -257 + 246.7. Let a = 7.7 + j. What is the closest to 0 in a, -0.3, -1/7?
-1/7
Let f = -313.6 + -90.4. Let r = f - -408. What is the closest to r in 0.3, -2, -1/4?
0.3
Let p be 3/((-27)/687) + 0. Let i = 77 + p. Let n = -554 + 553. What is the nearest to i in n, 4, -5?
n
Let i = -280 - -323. Suppose -i*m = 11 + 32. What is the nearest to 3/10 in 2/21, 2/9, m?
2/9
Let g(n) = n**3 - 7*n**2 + 7*n - 1. Let t be g(6). Let w be (18/(-10))/(21/(-70)). Let v be 6*3/9*1/w. What is the nearest to 0 in -6, v, t?
v
Let h = -14558 + 14554. Let t = 0.03 + -0.83. Which is the closest to t? (a) 1/2 (b) h (c) 0.3
c
Let n be (-1 - 17)*(-17)/3. Let o be (-2)/17 + 24/n. What is the closest to -0.1 in -4/7, o, -1, -1/2?
o
Let o(f) = -327*f - 1. Let r be o(0). Which is the nearest to -15? (a) r (b) 0 (c) -2.2 (d) 4
c
Suppose -50*t + 196*t = 292. What is the nearest to 1.9 in t, 3/2, 0.1, -3/7?
t
Let x = -0.4476 + 0.4476. Which is the nearest to x? (a) 1 (b) -0.1 (c) 2 (d) 2/17
b
Let t = 18310 - 91546/5. Which is the nearest to -1? (a) t (b) 2/19 (c) -0.02 (d) 5
c
Suppose -s - 819*y - 63 = -820*y, 294 = -5*s + 2*y. What is the nearest to -0.1 in 1/8, s, -2/3?
1/8
Let s = 9.989285 + 0.010715. Let n(f) = -f. Let g be n(1). Which is the nearest to -0.1? (a) s (b) 2/9 (c) 0.1 (d) g
c
Let p be 12/14*(-3 + 24). Let q be 6/15 - p/15. Suppose 2 = 65*n - 66*n. What is the nearest to n in q, 2/7, -1/7?
q
Let p be 27 + (-4)/8*-2. Let g = 0.002 - -1.998. What is the nearest to g in 0.5, 3/2, p?
3/2
Let o = 186.5 + -186. Let t = -1.5 + o. Which is the closest to t? (a) 71/3 (b) 3 (c) 4
b
Let t(v) = -38*v + 7. Let d be t(-7). Let w = 1361/5 - d. Let s = -5790 + 5785. Which is the closest to -2/11? (a) s (b) -1 (c) w
c
Let i = -10819.8302 + 10847.7. Let n = i - -0.0302. Let o = 28 - n. Which is the nearest to 3/5? (a) -5 (b) o (c) 2
b
Let i = -891 + 890.5. Let j = 0.3 - 0.2. Let p = 1 + 1. What is the nearest to p in j, 4/7, i?
4/7
Let p(r) = r**2 + 4*r + 2. Let h be p(-3). Let k be h/(-4)*-3 + 1. Let v = -198 + 198.5. What is the closest to 4 in v, -2, k?
v
Let k be ((-5)/30 + (-3)/54)*-1. Let r(l) = -l**2 + 60. Let u be r(8). Let n = 5 - 1. Which is the nearest to u? (a) k (b) 0.2 (c) n
b
Let w = -226 - -154. Let m = w - -73. What is the nearest to 2/5 in m, 2/35, -3?
2/35
Let q = 5.1 - 0.1. Let z = 226.61 - 226.51. What is the nearest to z in 2/13, -10/9, q?
2/13
Let t = 0.01 + -9.01. Let s = t - -6. Let m = 0.0871 - 1.0871. Which is the closest to -6? (a) -4/3 (b) m (c) s
c
Let o = 2154 + -2157. Which is the closest to 1/3? (a) 6/13 (b) o (c) -0.83
a
Let z = -328.2 + 328.2. What is the closest to 1 in 13, 0.4, z?
0.4
Suppose -5*y - 2 = -4*n, 3*n = 9*y - 7*y - 2. Let b be (y/5)/(27/180*-3). What is the closest to b in 4, 2/19, 0.4?
0.4
Let p = 20638 + -62971/3. Let t = p + 351. Let h be (-1)/(2*2/(-20)). What is the closest to t in h, -5, 0?
0
Let y be ((-2646)/105 + 26)*-5. Let q = 4 + -4.4. Let p = 0.2 + q. Which is the closest to p? (a) 1 (b) y (c) -0.3
c
Let p = -3138261778 + 12097999075787/3855. Let m = p + 6/1285. Let g = m - -21. Which is the nearest to g? (a) 4 (b) -0.4 (c) 0.2
c
Suppose 35*z + 15 = 30*z + 4*i, 2*z + 4*i = -6. Which is the nearest to 0? (a) 2 (b) z (c) 0.5
c
Let h = -11514 + 11513.5. What is the nearest to 1 in 3/2, h, 0.9, -0.1?
0.9
Let o = -31.73 + 35.73. What is the closest to 2 in -0.122, o, -2?
o
Let z(v) = 26*v - 676. Let r be z(26). Let m(t) = t - 12. Let c be m(9). What is the nearest to -0.2 in -1/5, c, -2/15, r?
-1/5
Let n = -7.3 + -38.7. Let o = -91 - n. Let g = -44.5 - o. Which is the nearest to -1? (a) 2 (b) 2/3 (c) g
c
Let o = 66.8 - 67. Let z = 8.95 - 9. Let a = -1.05 - z. What is the closest to a in -2, 4, o?
o
Let w = -2.6 + 0.6. Let y = 9763.2 + -9763. Let k = -0.1 - 0.1. What is the nearest to y in w, k, 1?
k
Let f = -0.024 - -0.047. Let i = 0.077 + f. Suppose 4*t - 28 = 4*k, 4*k + 12 = 4*t + 8*k. Which is the nearest to i? (a) t (b) -3/5 (c) 1/4
c
Let q = -8 + 5. Let w be 8/(-30)*(-6)/(-4). Let f = -1927/5 + 385. What is the closest to f in 3, w, q?
w
Suppose 2*y = -91*u + 87*u - 124, 32 = -u - y. What is the closest to 4 in u, -2/11, -2/9, -4/3?
-2/11
Let o = -113 - -104.63. Let t = o - -8.27. What is the nearest to 7/3 in -1/7, -3, t?
t
Suppose -5*a - 2*m + 7 + 0 = 0, -3*a = -5*m + 2. Let v = 564.1 - 562.1. What is the closest to a in v, -9, -0.3?
v
Let s be 2/4*(-2)/4. Let j be 54/(-81)*(-6)/8. Let v be (16/28)/((-24)/84). What is the closest to v in 1/3, j, s?
s
Let u = 1169.055 + -1172. Let z = -0.055 + u. Which is the nearest to -2/13? (a) -0.2 (b) -1 (c) z (d) -2
a
Let p = -0.671 + 0.511. Let s = p + 0.26. Which is the nearest to 1? (a) s (b) 2/11 (c) -0.1
b
Let b = 77/5 + -15. Let p be (-1498)/214 - (-20)/(-12)*(-115)/25. What is the nearest to -2/11 in -8, 5, p, b?
b
Let u = -1.023652 + 0.023652. Let s = 29/2 - 15. What is the closest to u in -3, -8, s?
s
Let x be 13494/(-4152) - 5/(-4). Let a = -5 + 10. Suppose 10 + 4 = o - 5*q, -3*q = -o + 8. What is the nearest to o in a, 0.5, x?
x
Let v = 18152 + -18152.1. Let q be 2/(-7) + (-22)/21. Which is the closest to 2/5? (a) 1/7 (b) q (c) v
a
Let y be 15 + (-15 - (15 + -67)). Which is the closest to y? (a) 0.4 (b) 0.24 (c) 2
c
Let j be (-9)/27 + (-4)/6 - -1. Let f = 25 + 13. Let i = f + -37. Which is the nearest to 1? (a) i (b) j (c) 5
a
Let d = -13 + 11. Suppose 2*y - 18 = 2*m, -91*y = -94*y + m + 19. What is the closest to y in 4, d, 3?
4
Let a(k) = k**3 + 7*k**2 - 5*k + 19. Let f be a(-8). Let i be (0/3)/(f*(-6)/(-30)). What is the closest to 0 in -0.4, -
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + g - g + 2*g**3 + 3*g**3 + 0*g**3 + (g**2 + 0*g**2 - 3*g**2)*(0*g + 5*g - 2*g).
2*g**3
Expand (u - u + 2*u + u + 0*u - 3*u + (0 - 2 + 0)*(-2*u - 2 + 2) + 3*u + 3 - 3 - u + 2*u + u)*(65 - 41 + 90)*(-3 + 2 - 2).
-3078*u
Expand ((-3 + 2 - 1)*(3*z - 3*z + 2*z) - 2*z + 4 - 4 + 2*z - 3*z + 2*z - 2*z - 1 + 1 + 1192 + 24*z - 1192)*(0*z**4 + 4*z**4 - 2*z - z**4).
51*z**5 - 34*z**2
Expand -p**2 - 3*p - 4 - 21 + 41 - 2*p**2 + 3*p**2 - 3*p**2 + (0 + 2*p**2 + 0)*(-1 + 2 + 1).
p**2 - 3*p + 16
Expand (2*y + 9*y - 12*y)*(61*y + 30*y - 26*y).
-65*y**2
Expand (5 + 47 + 19)*(-4*q + q + q).
-142*q
Expand 14*r + 4*r - 1 - 5*r + (-7 + 5 - 7)*(-4*r + 4*r - r).
22*r - 1
Expand (-2*j**2 - 5*j + 5*j)*(1 + 23*j - 21*j + 1)*(-5*j - 2*j - 2*j).
36*j**4 + 36*j**3
Expand (0*y + 0*y - 5*y**4)*(5 + 8 - 13 + 11*y).
-55*y**5
Expand -s**5 - s**2 + s**2 + (4*s**3 + 3*s**3 - 6*s**3)*(2*s**2 - s**2 + s**2) + 14*s**5 + s - s.
15*s**5
Expand -36*s**3 + 30*s**3 + 63*s**3 + 0*s**3 - 3*s**3 + s**3 + (-s**2 - s**2 + 3*s**2)*(0 + 2*s + 0) + 2*s**2 + 2*s**3 - 2*s**2.
59*s**3
Expand -8*t**4 - 40*t**4 + 13*t**4 + (-2*t**2 + 2*t - 2*t)*(-2*t + 2*t + t**2) + (t - t + 2*t)*(-2 + 2 + 2*t**3).
-33*t**4
Expand (138 + 126 - 413)*(4*z - 4*z - z).
149*z
Expand -w**2 + w - w + (0*w - 2*w + 4*w)*(1 - 1 + 2*w) - 2*w**2 - 4*w**2 + 4*w**2 + w**2 - 2 + 2 + w**2 + 1572 - 782 + 7*w - 786.
3*w**2 + 7*w + 4
Expand (2 - 4 + 1)*(3*y - y - y)*(-8 - 9 + 9 - 8*y).
8*y**2 + 8*y
Expand (-4*q**5 - q**5 + 7*q**5)*(-150 - 63 - 129).
-684*q**5
Expand (0*a**2 - a**2 + 0*a**2)*(0*a**2 + 4*a**2 - 3*a**2)*(58 - 8 + 39).
-89*a**4
Expand (1 + 0 + 1)*(-2*t + 0 + 0*t - 1)*(9 - 9 - 8*t**3) + 4*t**4 - 2*t**4 + 0*t**4.
34*t**4 + 16*t**3
Expand (0*j - 3*j - 2*j)*(-102*j + 67*j + 84*j).
-245*j**2
Expand (g - 6*g + 2*g + 2*g - g + 0*g + (0 + 0 - 1)*(2 - g - 2))*(-g - 6*g - 3*g).
10*g**2
Expand (-6*d**3 + 9*d**3 - 4 - 6*d**3)*(25 - 4 - 1).
-60*d**3 - 80
Expand -13*w**2 + 21*w**4 + 28*w**2 - 17*w**2 + 2*w**3 + w**4 - 5*w**4 - 3*w**4 + (w**2 + 2 - 2)*(2*w - w**2 - 2*w).
13*w**4 + 2*w**3 - 2*w**2
Expand (-2*a**2 + 6 - 8*a + 8*a)*(-3*a**2 - 2*a**2 + 7*a**2)*(137 + 26 - 65).
-392*a**4 + 1176*a**2
Expand (-26 + 26 - 4*i)*(-3*i**4 + 0*i**4 + 5*i**4) - 4*i**2 + 4*i**2 + 2*i**5 + 4*i**5 + i**5 - 3*i**5.
-4*i**5
Expand 9*o + 6*o - 17*o + 2*o + 3*o - 3*o + 0*o - 3*o + 2*o + (3 - 1 - 1)*(3*o - 5*o + 6*o) - 3*o + 2*o + 0*o.
2*o
Expand (-3*v - 3*v + 4*v)*(3865 - 3863 + 0*v**2 + 6*v**2).
-12*v**3 - 4*v
Expand (-2 + f**2 + 5 + 0 + 3*f**2 - 2*f**2 - 4*f**2 - 4*f**2 - 3*f**2 + 5*f**2 - f + 2*f**2 + f + (2 + 1 - 5)*(-f**2 - f**2 + 0*f**2))*(3 - f - 3).
-2*f**3 - 3*f
Expand (-3*d + 0*d + 2*d)*(74*d + 12*d - d).
-85*d**2
Expand (2245 - 2245 + 16*a**3)*(2*a**2 + 4 - 6 + 0*a**2).
32*a**5 - 32*a**3
Expand (m**2 - 3*m**2 + 3*m**2)*(-3 + 2*m**3 + 3) + 0*m**5 + 0*m**5 + m**5 + 2*m**5 + m**5 - m**5 + (-2 + 2*m**3 + 2)*(7*m**2 - 7*m**2 + 3*m**2).
11*m**5
Expand (65*h**2 - 11 + 2*h**3 - 65*h**2)*(-h**2 - 2 + 2 + h**2 - 4*h + 4*h + (2*h - h - 2*h)*(-2*h - 3 + 3) - 2*h**2 + 2*h**2 + 2*h**2).
8*h**5 - 44*h**2
Expand -19*q**5 + 18*q**5 - 26*q**5 + (-9 - 3*q + 9)*(q**4 + 2*q**4 - 4*q**4).
-24*q**5
Expand (2*o + 3*o - 2*o)*(-3*o + 3*o - 2 - o + (-3 + 4 + 1)*(4*o - 3*o - 2*o)).
-9*o**2 - 6*o
Expand (1 - 4 + 1)*(4 - 2 + 1)*(-3 + 7 - 2)*(m - 5*m - 2*m).
72*m
Expand (-2*w - w - 4*w)*(-4*w + 5*w + w)*(10 + 7 - 7).
-140*w**2
Expand (3 - 3 - 2*m**2)*(m**2 + 119*m - 3*m**2 + 3*m**2).
-2*m**4 - 238*m**3
Expand (5*q - 12*q + 5*q)*(-2 + 1 + 0) + (2 + 1 - 1)*(-2*q + 7*q + 0*q) + 0*q + q + 0*q + (0*q + 0*q + q)*(-2 + 3 + 2).
16*q
Expand (-3*t**3 + 5*t**3 + 0*t**3)*(-2 + 0 + 4)*(-98*t + 105*t**2 + 98*t).
420*t**5
Expand (0 + 2*h**3 + 0)*(-2*h**2 - 3*h**2 + 3*h**2) + 95*h**3 + 7*h**5 - 95*h**3 + (7*h**2 - 3*h**2 - 2*h**2)*(h**3 + 0*h**2 + 0*h**2).
5*h**5
Expand (6 - 3 - 1 + (3 - 1 + 0)*(2 - 4 + 0))*(-229*p + 229*p - 344*p**2).
688*p**2
Expand (0*m - m - m)*(1479 - 739 - 679 - 3*m).
6*m**2 - 122*m
Expand -m**2 + m**5 - 4*m**5 + 5*m**5 + (m - m + m**5)*((1 + 0 + 3)*(5 + 7 + 2) + 0 + 3 - 4).
57*m**5 - m**2
Expand (0*u + 2*u + 6*u)*(6 - 4 + 8).
80*u
Expand -3*o**5 - 2*o**5 + 8*o**5 + (0*o**2 - 4*o**2 + 2*o**2)*(216*o**2 - 216*o**2 - 178*o**3).
359*o**5
Expand -2*k**2 + 2*k**2 - k**2 + (5*k**2 - 5*k**2 + 2*k**2)*(1 + 0 + 0) - 14 - 114*k**2 + 120*k**2 + 4.
7*k**2 - 10
Expand -1 + 1 + q + (-5*q + q + 3*q)*(2 - 1 - 2) + 2*q + 0 + 0 + 1 - 1 + q + 98*q + 121*q + 261*q.
485*q
Expand (-36 + 36 - t**4)*(-23*t - 27*t + 63*t) + 2*t**5 - 2*t**5 - t**5 + (3*t**4 - 7*t**4 + 2*t**4)*(2*t - 4*t + t).
-12*t**5
Expand (-2*f + 2 - 2)*(0*f - f + 0*f)*(3*f**2 - 2*f**2 + f**2 + 36*f**2 + 18*f**2 + 33*f**2 + (-5*f + 5*f - 2*f**2)*(2 + 2 - 2) - 2*f**2 + 0*f**2 + 0*f**2).
166*f**4
Expand -m**3 + 0 + 0 + (5 - 3 + 0)*(-28*m**3 + 232*m - 232*m).
-57*m**3
Expand (6*z - 6*z - z**2)*(-2 - 3 + 4) + (z - 4*z + z)*(27*z - 34*z + 23*z) - 2*z**2 + 0*z**2 + z**2.
-32*z**2
Expand (1 - 4 + 0)*(10 + 18*i + 2 - 11).
-54*i - 3
Expand ((-3*b - b + 2*b)*(0*b**2 - 4*b**2 - 2*b**2) - 5*b**2 + 7*b**3 + 5*b**2)*(b**2 + 2*b**2 - 2*b**2) + 1 - 1 - 3*b**5.
16*b**5
Expand (-p - 5 + 5)*(2*p + 3*p - 3*p)*(3*p**2 + 11*p - 11*p).
-6*p**4
Expand ((-k + 3*k - 4*k)*(4 - 2 + 0) + 2*k + 0*k - 4*k - 20*k + 27 - 27)*(-6 - 6 + 5) + (2*k + 3*k - 6*k)*(-2 + 2 + 1).
181*k
Expand (0 + w**3 + 1 - 4)*(-3*w + 3*w + 2*w**2) + (-3*w - 7*w + w)*(w**4 + 0 + 0).
-7*w**5 - 6*w**2
Expand (-3 + 8 + 2)*(-w**2 - 363*w + 363*w + 29).
-7*w**2 + 203
Expand (-5*v - 6*v**2 + v**2 - 816 + 817)*(3 - 3 + 4*v).
-20*v**3 - 20*v**2 + 4*v
Expand (17*c**3 - 4708*c**2 + 4708*c**2)*(5 - 2*c - 5 + (-3 + 0 + 4)*(2*c + 2 - 2) + 1 - 1 + c).
17*c**4
Expand (17*k**2 + 87 - 87 + 3*k**2 + 0*k**2 - 2*k**2 + (1 - 2*k - 1)*(-2*k + 4 - 4) + 2*k**2 + 2*k**2 - 3*k**2 - 2*k**2 + 0 + 0)*(-3*k**3 + 4*k**3 - 3*k**3).
-42*k**5
Expand (-75*i + 146*i - 714*i - 220*i - 342*i)*(-i**4 + 3*i**4 - 4*i**4).
2410*i**5
Expand (-1 + y**2 + 1)*(-2*y**3 + 1311*y**2 + 7*y**3 - 1288*y**2).
5*y**5 + 23*y**4
Expand -5*u + 5*u + 2*u**5 + u**5 - u**5 + u**5 + (-5*u**2 + 0*u**2 + 4*u**2)*(0*u**3 + 4*u**3 - 2*u**3) + 2 - 2 - 2*u**5 - 560*u**5 + 287*u**5 + 564*u**5.
290*u**5
Expand -21*r**5 + 4*r**5 - 68*r**5 + (2*r**2 + r**2 - 4*r**2)*(-2*r**3 + 0*r**2 + 0*r**2) - 2*r**5 + 3*r**5 - 2*r**5.
-84*r**5
Expand (-18 + 57 + 46)*(2 + 3 - 4)*(1 + 1 - 3)*(-3 + 5 - 1)*(-l**5 - 6*l**5 + 2*l**5).
425*l**5
Expand (3 - 19 - 2298*r**2 + 2296*r**2)*(1 + 3 - 3).
-2*r**2 - 16
Expand (-2*v + 0*v + 3*v)*(-34 - 86 + 31).
-89*v
Expand -4*s + s**2 + 4*s + (0 + 0 + 1)*(0*s**2 - 5*s**2 + 3*s**2) - 3*s**2 - s**2 + 3*s**2 + 1 + 123*s - 123*s + 34*s**2.
32*s**2 + 1
Expand -1 + 1 - 3*o**2 + (-7 + 3 + 1)*(3*o - 2*o + 0*o)*(-4 + 2 + 8)*(0*o + 2*o - 3*o).
15*o**2
Expand g**2 - g**2 + g**4 - 2462*g + 2462*g + 517*g**4 + (-3 - 2*g + 3)*(g**3 + 3 - 3).
516*g**4
Expand (11*c + 2*c - 2*c)*(17 - c - 17).
-11*c**2
Expand (-q - 5*q + 4*q)*(2 + 2 - 2) - 4*q + 0*q - 3*q + 182*q - 7848 + 7848 + (4 - 3 + 1)*(-q - 4*q + 7*q) + 2*q + 1 - 1 + 3 - 3 + 2*q.
179*q
Expand (-4*s + 4*s + 4*s)*(s - 2*s - 2*s + (0 - 2 + 5)*(0*s + 3*s - s) - 2*s + 0*s + s).
8*s**2
Expand (y - 3*y - 8*y)*(y + 4 - 4) + ((5 + 3 - 1)*(-7*y + y + 4*y) - y - y + 3*y)*(y + 0*y + 0*y).
-23*y**2
Expand 5*j - 2*j - 6*j - 16 + 16 - 8*j + (1 - 1 - 2)*(-3*j - j + 5*j) + 0*j + 2*j - j.
-12*j
Expand (5 - 2*a - 5)*(-1 - 4 + 4)*(2*a - 2 + 2 + (3*a - a - 3*a)*(-3 - 7 + 13)).
-2*a**2
Expand p**4 + 1 - 1 + (49*p**3 - 16*p**3 + 29*p**3)*(3*p - p - p).
63*p**4
Expand ((a - 2*a + 2*a)*(2 + 0 - 4) + 2*a - 7*a + 3*a + 0*a - a - 11*a)*(-8*a**4 + 7*a**2 - 7*a**2).
128*a**5
Expand -4*s + 7*s - s + (-4 + 3 - 6)*(-4*s + s + 2*s).
9*s
Expand (-6*g - 4*g + 0*g)*(-g + g - 4*g) + 0*g**2 - 2*g**2 + 3*g**2.
41*g**2
Expand (0 + 4*g + 0)*((-4 + 3 + 3)*(3 - 3 + g) + (-g + 2*g - 2*g)*(0 + 3 + 5) - g + 2*g + 0*g).
-20*g**2
Expand (6 - w**2 - 6)*(w**2 - w**2 + w**2) + (2*w**2 - w + w)*(60*w**2 + 72*w**2 - 89*w**2) + 0*w**3 + 0*w**3 + w**4.
86*w**4
Expand d + d**5 + 12*d - 6*d + (-2*d**4 + 0*d + 0*d)*(3*d - 3*d - 2*d) - d**2 + d**2 + d**5 + 4*d**5 - 4*d**5 - d**5 - 2*d**5 - 2*d**5 + 3*d**5.
4*d**5 + 7*d
Expand (-10*i**4 - 2*i**4 + i**4)*(-70 - 12*i + 70)*(0 + 1 + 0)*(2 - 2 + 1)*(-2 + 3 - 3).
-264*i**5
Expand -1 - k**4 + 1 + (8 +
|
{
"pile_set_name": "DM Mathematics"
}
|
1 by -90.
-1/90
11684 divided by 23
508
Divide -3 by 12.
-1/4
Calculate 3 divided by 128.
3/128
Divide 141 by -18.
-47/6
Divide -36 by -21.
12/7
-265 divided by 5
-53
Divide -774 by -2.
387
What is -305 divided by -7?
305/7
What is -3450 divided by -23?
150
Divide 1 by -5266.
-1/5266
What is 0 divided by -15?
0
What is -18 divided by -8?
9/4
Calculate -18865 divided by 3773.
-5
-7 divided by -889
1/127
What is -1172 divided by 1?
-1172
What is -17289 divided by 9?
-1921
What is 475 divided by -57?
-25/3
What is 3660 divided by -610?
-6
Calculate -92 divided by 6.
-46/3
-39 divided by 3
-13
Calculate -10 divided by 420.
-1/42
Divide -2 by -723.
2/723
Calculate -1210 divided by 55.
-22
Calculate 1105 divided by -65.
-17
-1413 divided by -471
3
-1743 divided by -4
1743/4
Calculate -1355 divided by 5.
-271
What is -4536 divided by -7?
648
What is -1619 divided by 1?
-1619
2364 divided by -394
-6
Calculate -4056 divided by 6.
-676
Divide -392 by 28.
-14
What is -462 divided by 14?
-33
Divide -22594 by 1.
-22594
What is -6902 divided by -4?
3451/2
What is -4 divided by -1227?
4/1227
What is 332 divided by 332?
1
-50 divided by 6
-25/3
-5 divided by 165
-1/33
Divide 1116 by 12.
93
What is 5 divided by -1845?
-1/369
462 divided by -1
-462
Calculate 1 divided by 4.
1/4
Divide -2352 by -1176.
2
What is -3 divided by -5759?
3/5759
-1615 divided by -4
1615/4
Calculate -16 divided by 42.
-8/21
What is -5 divided by 211?
-5/211
Calculate 0 divided by 247.
0
Calculate -4085 divided by 5.
-817
What is 274 divided by -4?
-137/2
-596 divided by -149
4
-42035 divided by 5
-8407
Calculate -4 divided by 813.
-4/813
What is -1 divided by 420?
-1/420
Divide -3 by 6874.
-3/6874
What is 170 divided by -85?
-2
Divide -4 by 255.
-4/255
What is -8502 divided by -6?
1417
-1054 divided by -2
527
What is -2059 divided by -19?
2059/19
What is -1 divided by -29?
1/29
Divide -27 by -5.
27/5
Divide 3428 by -2.
-1714
What is -1290 divided by -1?
1290
What is -5 divided by 61?
-5/61
13205 divided by -5
-2641
Calculate -1968 divided by -12.
164
282 divided by -5
-282/5
What is 5 divided by -73?
-5/73
What is -19 divided by 118?
-19/118
1 divided by -12
-1/12
Divide 4 by -1315.
-4/1315
Divide 2762 by -2762.
-1
Divide -1610 by 5.
-322
Divide 54 by 11.
54/11
Calculate 21936 divided by -6.
-3656
-72 divided by 12
-6
Divide 34 by 142.
17/71
What is -15353 divided by -3?
15353/3
What is -553 divided by -79?
7
Calculate 21 divided by -10.
-21/10
0 divided by 21
0
Divide -13858 by -13.
1066
-5 divided by -856
5/856
-152 divided by -8
19
Calculate 9212 divided by -2.
-4606
Divide -252 by -3.
84
Divide 2080 by -5.
-416
Divide -1161 by 9.
-129
What is 3920 divided by -80?
-49
30 divided by -11
-30/11
311 divided by 5
311/5
Calculate 5 divided by -101.
-5/101
162 divided by 3
54
What is 42 divided by -3?
-14
Divide -3300 by 6.
-550
-1 divided by 27
-1/27
Divide 623 by -1.
-623
218 divided by -109
-2
-315 divided by -21
15
Divide -10192 by -8.
1274
3076 divided by -4
-769
Divide -2 by 113.
-2/113
Calculate -916 divided by -4.
229
-5 divided by -84
5/84
Divide -38985 by 5.
-7797
Divide 247 by 5.
247/5
Divide 4 by 31.
4/31
Calculate 496 divided by 1.
496
Divide -1 by 33.
-1/33
Calculate 761 divided by 761.
1
Calculate 9 divided by -511.
-9/511
Calculate 692 divided by 173.
4
Calculate 37 divided by 17.
37/17
Calculate 295 divided by 1.
295
What is 1440 divided by 8?
180
Divide -253 by 11.
-23
What is 1 divided by -17?
-1/17
What is 4396 divided by 157?
28
What is 0 divided by 297?
0
Divide -2638 by -6.
1319/3
0 divided by 405
0
-597 divided by -199
3
Divide 737 by 11.
67
Divide -346 by 2.
-173
Calculate -174 divided by -6.
29
4 divided by -237
-4/237
-10 divided by 2
-5
-32 divided by -3
32/3
What is -17 divided by -61?
17/61
What is -675 divided by -75?
9
15419 divided by 17
907
306 divided by -5
-306/5
What is -64 divided by 5?
-64/5
What is 48 divided by 61?
48/61
108 divided by -36
-3
Divide -380 by -4.
95
Calculate 2 divided by -431.
-2/431
4 divided by 260
1/65
Divide 814 by -1.
-814
Calculate 547 divided by -2.
-547/2
Divide 3 by -86.
-3/86
-304 divided by -4
76
What is 0 divided by -50?
0
Divide -3895 by 779.
-5
What is 18 divided by 18?
1
What is -75 divided by -25?
3
Calculate -336 divided by -1.
336
Calculate 567 divided by 63.
9
Divide 1 by -29.
-1/29
Divide -4 by 488.
-1/122
What is 8292 divided by 2073?
4
What is 4 divided by -270?
-2/135
Divide 540 by -3.
-180
What is -37 divided by -64?
37/64
What is -1903 divided by -173?
11
Calculate -8370 divided by -27.
310
Calculate -1 divided by 1.
-1
Divide -3 by -25.
3/25
-372 divided by -2
186
Calculate -153 divided by 9.
-17
What is -375 divided by -15?
25
0 divided by -2
0
What is 4450 divided by -890?
-5
0 divided by 89
0
11307 divided by 3
3769
Calculate 162 divided by -137.
-162/137
What is -42 divided by 6?
-7
Divide 513 by 5.
513/5
13 divided by 1
13
48 divided by -8
-6
Divide 183 by -61.
-3
Divide 21 by 16.
21/16
Divide 6 by 17.
6/17
Divide -65 by -2.
65/2
Calculate -209 divided by 19.
-11
Divide -132 by -44.
3
Divide 4004 by 3.
4004/3
Calculate -52 divided by 1.
-52
Divide -161 by 161.
-1
3 divided by 29
3/29
What is -5181 divided by -157?
33
-5242 divided by -5
5242/5
-1290 divided by 258
-5
Calculate 5 divided by -5.
-1
Calculate 0 divided by -121.
0
-6592 divided by 32
-206
Calculate 1452 divided by 6.
242
What is 1464 divided by 244?
6
What is -2 divided by 907?
-2/907
Calculate -194 divided by -1.
194
What is -77 divided by -128?
77/128
Divide -18378 by 9.
-2042
-18 divided by 271
-18/271
Calculate -27 divided by -7.
27/7
Divide 10 by 5.
2
Divide 5769 by -5769.
-1
What is 92 divided by -23?
-4
Calculate -261 divided by -87.
3
Divide -7 by -368.
7/368
What is -802 divided by -2?
401
Divide -15966 by -9.
1774
Divide 990 by 198.
5
Divide -2 by 1070.
-1/535
Divide 4 by -173.
-4/173
167 divided by -12
-167/12
What is 2 divided by -48?
-1/24
Divide 2 by -348.
-1/174
Calculate -285 divided by -1.
285
504 divided by 1
504
Divide 3910 by 5.
782
Calculate -6 divided by -560.
3/280
Calculate 112 divided by -28.
-4
-448 divided by 224
-2
Calculate 350 divided by 70.
5
Calculate -162 divided by -6.
27
Calculate -905 divided by -5.
181
What is -6340 divided by -10?
634
What is 7924 divided by -283?
-28
Divide -8 by -141.
8/141
Divide 8 by 5.
8/5
508 divided by -127
-4
Calculate 55 divided by 4.
55/4
Divide -172 by 5.
-172/5
Divide 224 by -109.
-224/109
Calculate 160 divided by 80.
2
What is 804 divided by -1?
-804
Divide 0 by 272.
0
710 divided by 710
1
Divide -18634 by 154.
-121
2119 divided by 13
163
Divide -190 by 38.
-5
-27760 divided by 2776
-10
Calculate 135 divided by 15.
9
Calculate 1443 divided by -3.
-481
Divide -57 by -134.
57/134
Divide 2 by -131.
-2/131
Calculate 426 divided by -142.
-3
Divide -32 by -32.
1
-84 divided by -21
4
Divide -340 by -4.
85
Calculate -105 divided by 1.
-105
Calculate 609 divided by 5.
609/5
What is -10 divided by -18?
5/9
Divide 670 by -5.
-134
What is -2 divided by -1435?
2/1435
Calculate 470 divided by -47.
-10
17100 divided by -5700
-3
What is 993 divided by -5?
-993/5
Calculate 880 divided by 88.
10
Divide -7659 by 3.
-2553
What is 68 divided by 2?
34
Calculate -115 divided by 5.
-23
Divide -1 by -651.
1/651
What is 1528 divided by 382?
4
-4 divided by 308
-1/77
Calculate 633 divided by 1.
633
What is -1130 divided by -565?
2
Calculate -3718 divided by 22.
-169
Calculate 989 divided by 43.
23
What is -4661 divided by -1?
4661
4 divided by 416
1/104
What is 135 divided by -15?
-9
Calculate 1210 divided by -5.
-242
Divide 0 by 6.
0
Divide 1 by -8920.
-1/8920
394 divided by 36
197/18
Calculate 1 divided by -82.
-1/82
-15 divided by 2
-15/2
What is -89 divided by -14?
89/14
Divide -670 by 2.
-335
What is 1 divided by -303?
-1/303
Divide -378 by 6.
-63
What is 825 divided by 15?
55
Divide -486 by 18.
-27
Divide -16 by 10.
-8/5
Divide 2120 by -106.
-20
What is -116 divided by 58?
-2
Divide -214 by -1.
214
-1 divided by 618
-1/618
Divide 2 by 89.
2/89
Divide 15 by -187.
-15/187
-3108 divided by 1036
-3
What is 2905 divided by -5?
-581
Calculate 28548 divided by -52.
-549
-350 divided by -70
5
3 divided by 5
3/5
Calculate 15 divided by -56.
-15/56
-4 divided by -657
4/657
Calculate 22 divided by -
|
{
"pile_set_name": "DM Mathematics"
}
|
*v + 2987*h**2*v**2 + 5018*h**2*v wrt h?
-95208*v**2 - 2556*v
What is the derivative of 3173821*d**2 - 2*d - 8678372?
6347642*d - 2
What is the second derivative of 12252*i**3*p**3 + 375*i**2*p**3 - 23*i*p**3 - 2*i*p - 1738065*i wrt i?
73512*i*p**3 + 750*p**3
Find the second derivative of -57252*o**4 + 1279*o**2 + 58930385*o wrt o.
-687024*o**2 + 2558
What is the second derivative of 63*f**2*w*x*y - 376949*f**2*w*x + f*w*x*y - 12*f*w*x - 6*f*x*y - 8*f*y - 2*x*y - 112*y wrt f?
126*w*x*y - 753898*w*x
What is the third derivative of 709783745*h**6 + 1020509798*h**2 wrt h?
85174049400*h**3
What is the derivative of -33756066*b*j - 9*b*p**2 - 113*j*p + 6*j - 559*p**2 - 2*p - 2 wrt b?
-33756066*j - 9*p**2
What is the third derivative of -7167206*w**4 - 2*w**3 - 537*w**2 + 7*w + 20 wrt w?
-172012944*w - 12
Differentiate -c**2*z**3 + 2504*c**2*z**2 + 42*c*z - 232*z**3 - 677*z**2 - 2*z wrt c.
-2*c*z**3 + 5008*c*z**2 + 42*z
Differentiate 6905069*a**2*p*y + 17*a**2*p - 18*a**2 + 135*a*p wrt y.
6905069*a**2*p
What is the second derivative of -71421463*z**4 - 4*z - 9720977?
-857057556*z**2
What is the second derivative of -2679725*j**3 - 2*j + 313664 wrt j?
-16078350*j
What is the second derivative of 331374*x**5 - 10*x**3 - x**2 + 2087440*x wrt x?
6627480*x**3 - 60*x - 2
What is the derivative of 14784*p**3*u**2 - 8916930*p**3 - 217*p**2*u**2 wrt u?
29568*p**3*u - 434*p**2*u
What is the second derivative of 48371*t**4 - 2*t**3 + 1303*t**2 - 496833*t - 428 wrt t?
580452*t**2 - 12*t + 2606
Find the third derivative of -546803035*k**5 - 1813*k**2 + 7004*k - 5.
-32808182100*k**2
What is the second derivative of -631*b**5 + 64*b**3 - 15*b**2 + 72956*b - 46 wrt b?
-12620*b**3 + 384*b - 30
Find the second derivative of -304225750*l**2 - 46232372*l + 2.
-608451500
What is the second derivative of -57*x**4 - 9*x**3 + 2473*x**2 - 11191429*x - 1?
-684*x**2 - 54*x + 4946
Find the third derivative of -77403382*r**3 - 1622*r**2 + 663 wrt r.
-464420292
What is the second derivative of 13*l**3*u**3 + 9*l**3*u**2 + 49261*l**3 - 3*l*u - 71*u**3 - 4*u wrt u?
78*l**3*u + 18*l**3 - 426*u
Find the third derivative of 41488759*n**5 + 364*n**2 - 26*n - 50.
2489325540*n**2
What is the second derivative of -11375424*j**2 - 17*j - 1368119 wrt j?
-22750848
What is the third derivative of 5018*l**6 - 34*l**5*w + 49467*l**2*w + 3*l**2 - 39*w wrt l?
602160*l**3 - 2040*l**2*w
What is the first derivative of -2*v**2 - 4176485*v + 4918911?
-4*v - 4176485
What is the third derivative of -48344725*x**3 + 53182607*x**2 - x + 2 wrt x?
-290068350
Find the second derivative of -60526118*g**2 - 4*g - 526642.
-121052236
Find the second derivative of 12446029*p**3 - 3*p**2 + 105139*p - 119.
74676174*p - 6
Find the second derivative of -985956325*f**3 + 1300478711*f wrt f.
-5915737950*f
Find the first derivative of -961*j*l**2 + 5566*j*l*o**3 - 852*l**2*o**3 + 3*l**2*o**2 - 305*l**2*o + 2*l*o**3 wrt j.
-961*l**2 + 5566*l*o**3
Find the third derivative of -72962772*v**5 - 374*v**2 + 5*v - 4073 wrt v.
-4377766320*v**2
Differentiate -2*k**2 + 508318041*k - 1158107021 with respect to k.
-4*k + 508318041
Differentiate -1877115*j**3 - j**2 - j + 7342681 wrt j.
-5631345*j**2 - 2*j - 1
What is the derivative of 7*f*i*p - 5899*f*i - f*p - 3*f - 130313*i*p - 5*i wrt p?
7*f*i - f - 130313*i
Differentiate -2*o**3 + 468574*o**2*s**3 - 13*s**3 + 5*s**2 - 2208*s - 3 with respect to o.
-6*o**2 + 937148*o*s**3
What is the third derivative of -8*l**6 + 5951155*l**5 - 923*l**2 - l + 12587?
-960*l**3 + 357069300*l**2
Find the third derivative of -29419857*l**4 + l**3 + 429614239*l**2.
-706076568*l + 6
Find the second derivative of -60136720*z**3 - 3072156*z + 1.
-360820320*z
Find the second derivative of -3299887*r**2*y**2 - 2*r**2*y + 7*r*y**2 - 38*r*y - 22*r + y**2 wrt r.
-6599774*y**2 - 4*y
What is the derivative of -h**2 + 196234705*h - 112267119 wrt h?
-2*h + 196234705
Find the third derivative of -19833644*x**6 - 2*x**2 - 4*x - 608876 wrt x.
-2380037280*x**3
What is the derivative of 361*q**2 + 97950*q - 425306745 wrt q?
722*q + 97950
Find the second derivative of 3*k*m**3 - 5*k*m**2 + 7*k*m - 132*k - 6708*m**3 + 19*m**2 - 173*m wrt m.
18*k*m - 10*k - 40248*m + 38
Find the third derivative of 80*o**4 + 306557*o**3 - 2*o**2 + 75074165*o.
1920*o + 1839342
Find the third derivative of -126260230*v**5 - 102111027*v**2.
-7575613800*v**2
Differentiate -1325254*h - 6507021 wrt h.
-1325254
Find the second derivative of 4*y**4 + 605110*y**3 + 3963295*y - 2.
48*y**2 + 3630660*y
Find the third derivative of 10*a**5 - a**4 - 1898486*a**3 + 103071*a**2 + 1232 wrt a.
600*a**2 - 24*a - 11390916
What is the third derivative of 63352532*l**5*u**2 - 4*l**2*u**2 - 8*l**2*u + l*u + 464*u**2 + 3*u - 2 wrt l?
3801151920*l**2*u**2
Find the second derivative of j**4 - 51185*j**3*o - 253*j**2 - 2*j*o + 3*j + 3*o + 31863 wrt j.
12*j**2 - 307110*j*o - 506
What is the third derivative of -6*s**5 - 2354544*s**4 + 67170*s**2 + 2?
-360*s**2 - 56509056*s
What is the second derivative of 399*g**2*i**4 - 2*g**2*i + g**2 + 7558*i**4 + 2*i - 1614523 wrt i?
4788*g**2*i**2 + 90696*i**2
Find the third derivative of 11383097*r*y**3 - r*y**2 - 4655497*r*y - 2*y**3 - 2*y**2 wrt y.
68298582*r - 12
Differentiate 248*k**3 + 93*k**2 - k - 14846463 wrt k.
744*k**2 + 186*k - 1
Find the second derivative of 2*a**5 + 46*a**3 - 33385*a**2 - 4137759*a.
40*a**3 + 276*a - 66770
Find the second derivative of -18284000*r**5 - 22620491*r wrt r.
-365680000*r**3
What is the derivative of -173*a**4 - 8575*a**2 + 4578588?
-692*a**3 - 17150*a
What is the third derivative of 15358960*o**3 - 2*o**2 + 3*o + 754849?
92153760
Find the second derivative of -398788679*m**3 - 309253890*m wrt m.
-2392732074*m
Find the second derivative of 22*h**3 + 154352*h**2 - 15*h - 61193.
132*h + 308704
Find the third derivative of 152878179*o**5 + 109*o**2 - 103*o + 2157 wrt o.
9172690740*o**2
What is the second derivative of -24019*q**5 + 3409*q**4 - 34018993*q - 1 wrt q?
-480380*q**3 + 40908*q**2
What is the second derivative of 108899431*x**2 - 217713433*x wrt x?
217798862
Find the first derivative of 567991739*a**2 - 218019916 wrt a.
1135983478*a
Differentiate 3*p*s**2 - 1862199*p - 1374223*s**2 wrt p.
3*s**2 - 1862199
What is the second derivative of -102714748*g**4 - 56823233*g?
-1232576976*g**2
Differentiate -1502*b**3 + 48040*b - 78151905 wrt b.
-4506*b**2 + 48040
Differentiate -159966170*w + 127345947 wrt w.
-159966170
Find the second derivative of b**4 - 12574196*b**3*h + 266*b*h - 254*b - h + 68 wrt b.
12*b**2 - 75445176*b*h
What is the third derivative of -121173714*g**4 + g**3 + 933030917*g**2 wrt g?
-2908169136*g + 6
What is the second derivative of -46865418*b**2*n*r**2 + 2*b**2*n - 1078*b*n*r**2 - 2*b*r**2 - 9*b - 782*r wrt b?
-93730836*n*r**2 + 4*n
What is the third derivative of -25*k**4 + 8477703*k**3 + k**2 + 71*k + 18356?
-600*k + 50866218
What is the derivative of 1374*f**4 + 271665*f + 466103066?
5496*f**3 + 271665
Differentiate 768*y**4 + 2*y**3 + 2228*y**2 - 56100863 wrt y.
3072*y**3 + 6*y**2 + 4456*y
What is the first derivative of -2*b**2*x + 3*b**2 + 48*b*x**2 - 2*b*x + 97*x**2 + 26007 wrt b?
-4*b*x + 6*b + 48*x**2 - 2*x
Differentiate 442800401*q**2 + 452796249 wrt q.
885600802*q
Differentiate -11*n**4 - 313464*n**3 - 25174652.
-44*n**3 - 940392*n**2
What is the third derivative of -71*d**6 + 2334554*d**3*m**3 + 12787*d**2*m + 1324*d*m**3 wrt d?
-8520*d**3 + 14007324*m**3
What is the third derivative of -325*b*v**6 + 2*b*v**2 - 2*b*v + 106119*v**4 - 2*v**2 - 2184941 wrt v?
-39000*b*v**3 + 2546856*v
Differentiate -28494327*p**2*r**3 + 89962108*p**2 wrt r.
-85482981*p**2*r**2
Find the third derivative of 2053*z**4 + 1628*z**3 - 4336678*z**2 wrt z.
49272*z + 9768
Find the second derivative of -1064*s**4 + 28*s**3 - 7*s**2 - 20948*s - 5184 wrt s.
-12768*s**2 + 168*s - 14
What is the third derivative of 7663712*a**4 + 2*a**2 + 1722637*a?
183929088*a
What is the second derivative of -396*j**5 + 9500*j**4 + 17323874*j?
-7920*j**3 + 114000*j**2
What is the first derivative of -18200594*b**4 + 36227419 wrt b?
-72802376*b**3
Differentiate d**2*v*z**2 - 69430947*d*z**3 + 2*v*z**3 - 241*v*z**2 - 2*v - 2*z**3 + 5*z - 322 with respect to d.
2*d*v*z**2 - 69430947*z**3
What is
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{
"pile_set_name": "DM Mathematics"
}
|
3*d + 0*d).
-255*d**5
Expand (4*c - 4*c + 2*c)*(-1 - c**2 + 4 - 4) + 46*c - 46*c + 18*c**3.
16*c**3 - 2*c
Expand 58*k**2 + 84*k**2 - 91*k**2 - k**2 - 2*k + 2*k - 3 + 3 + k**2 + (4 - 1 - 4)*(2*k - 2*k - k**2) + 1 + k**2 - 1.
53*k**2
Expand (-4*z + 4*z + z**2)*(4 - 9 - 2) + 3*z**2 + 4*z**2 + 11*z**2.
11*z**2
Expand (3 + 23*w - 3)*(-5 + 5*w - 5*w - 3*w).
-69*w**2 - 115*w
Expand (5 + 2 - 3*x - 6)*(-27 - 22*x + 27).
66*x**2 - 22*x
Expand (3 - 6 + 5)*(-62 - 716 - 252 + 2*t - 46).
4*t - 2152
Expand -5*v + 10*v + v + (-1 - 9 - 6)*(5*v - 3*v - v).
-10*v
Expand (-2*y**2 + 4*y**2 - y**2 + (2 + y - 2)*(-2*y + 0*y + 0*y) - 3*y**2 - y**2 + 3*y**2)*(2884 - 2884 - 137*y**2).
274*y**4
Expand (-2*l + 2*l**2 + 0*l - 4*l**2)*(0 - 2 + 4)*(-56*l**2 + 63*l - 63*l + (-l - l + 3*l)*(l - 4*l + l)).
232*l**4 + 232*l**3
Expand m**4 - m**4 + m**4 + (4 - 4 - 2)*(-43*m**4 + 46*m**4 + 53*m**4).
-111*m**4
Expand (5 - 17 - 6)*((3 + 4 - 5)*(-2*z + 3 - 3) + 3*z - 2*z + 0*z)*(-z - 6*z + 2*z).
-270*z**2
Expand (-4*k + k + k)*(3*k - 2*k + 0*k) - 87 + 87 - 16*k**2.
-18*k**2
Expand (3*l**3 - 4*l**3 - 2*l**3)*(14*l + 443 - 443 + 5*l).
-57*l**4
Expand (0*c + 13*c**3 + 0*c)*(9 - 6 + 15)*(5 - 5 + c**2).
234*c**5
Expand ((b - b - b)*(1 - 3 + 9) + 2*b + 3*b - 3*b)*(5*b**2 - 3*b**2 - b**2).
-5*b**3
Expand (-2*f - f**2 + 2*f)*((1 - 2 + 0)*(5 - 4 - 3) + 0 + 2 + 3 + 1 + 2 + 3).
-13*f**2
Expand (-1705*c + 1054*c + 907*c)*(-2*c + 7*c - c).
1024*c**2
Expand 0*f**5 - 5*f**5 + f**5 + (-f**2 + 2*f**2 - 3*f**2)*(0*f**3 - f**3 + 3*f**3) + 4 + 2 - 204*f**5 + 198*f**5.
-14*f**5 + 6
Expand (2*q**2 - q**2 - 3*q**2)*((4 - 1 - 1)*(0*q**2 - 3*q**2 + q**2) - 2 + 2 - q**2)*(-4 + 2*q + 4).
20*q**5
Expand 1672*a - 1672*a + 35*a**2 + 0*a**2 + 3*a**2 - a**2 + (-3 + 3 + 2*a)*(5*a - a - a) - a + a - 4*a**2.
39*a**2
Expand (3 - 2 - 2)*(-123 + 87 - 3*p + 7*p) + 2*p - 4 + 4.
-2*p + 36
Expand (-3 + 3 - 2)*(2*o - 3 + 3 + (-o + 0*o + 0*o)*(-1 - 1 + 0) + 4*o - o - o - 7*o - 6 + 6 - o + 2*o - 3*o).
6*o
Expand (-n - n + n)*(-4*n**3 + 262*n**4 - 529*n**4 + 263*n**4)*(-3 + 5 - 3).
-4*n**5 - 4*n**4
Expand (-488*h - 2 + 425*h - 391*h)*(3*h - h - 3*h).
454*h**2 + 2*h
Expand (-458*j + 980*j - 3239*j + 295*j - 4633*j)*(4*j - 2*j - 4*j).
14110*j**2
Expand (0 + 3 - 2)*(-4*p - 8 - 1 + 2*p)*(-62 - 35 + 64).
66*p + 297
Expand -f**3 + 2*f**3 + f**3 + ((0*f - 3*f + 5*f)*(-5 + 2 + 2) + 0*f + 0*f + f)*(-9*f + 9*f - f**2).
3*f**3
Expand (-3 + d**2 + 3)*(-1 + 2 + 0) + d + d**2 - d - 5*d**2 + 0*d**2 + 9*d**2.
6*d**2
Expand -2*n**4 + 6*n**4 - 5*n**4 + (0 + 2 - 3)*(-15*n**4 + 20*n**4 + 19*n**4).
-25*n**4
Expand (3 - 2 + 1)*(-7*u**2 - 5*u**2 + 6*u**2)*(3*u - 5*u + 19*u).
-204*u**3
Expand (2 - 4*u**3 - 5 + 10)*(-u**2 - 2 + 2).
4*u**5 - 7*u**2
Expand (-1 + 51*f + 1)*(4 - 2 - 1)*(-16 - 24 + 27)*(0 + 5 - 3)*(-2 - 3 + 4).
1326*f
Expand (-2*l + 3*l - 3*l)*(1 - 1 + 1 + (0 - 4 + 2)*(2 - 6 + 2) + 4 + 3 - 5 + 3 + 2 + 0)*(l - 3*l - 5*l).
168*l**2
Expand 3*k - 2*k + 0*k + (-2*k - 4*k + 7*k)*(1 - 1 - 2) + (-k + k + 2*k)*(4 + 5 - 4).
9*k
Expand (4 - 4 + 1)*(-10*h - 12*h - 2*h)*((-2*h + h + 3*h)*(3 + 4 - 5) + 4*h - 3*h + h) - h**2 - 2*h**2 + 2*h**2.
-145*h**2
Expand (-q + q + q)*((0*q**2 - 4*q**2 - 3*q**2)*(-q + 2*q**2 + q) + (61*q**2 - 11*q**2 - q**2)*(-7*q**2 + 2*q**2 + 4*q**2))*(2 - 1 - 2).
63*q**5
Expand (3 + 15 - 5)*(-3*d + d + 4*d) + (-1 + 3 + 0)*(-2*d + 0*d + 4*d).
30*d
Expand -11*a + 17*a - 10*a - 4*a + 6*a - 4*a - 4 + 4 + 2*a + (5*a - 4*a + a)*(0 - 1 + 2) + 3*a - 3*a + a + 0*a + 2*a - 3*a - 326 - 48*a - 13*a - 64*a + 326.
-127*a
Expand 9 - 9 - 7*n**2 + (2 + 0 - 1)*(3*n**2 + 2*n**2 - 4*n**2) + 4*n**2 + 0*n**2 - 3*n**2 - 129 + 65 - 10*n**2 + 65.
-15*n**2 + 1
Expand 3*l - 2*l + 0*l + (-26 + 12 + 28)*(0 + 0 + 2)*(4*l + l - 3*l)*(5 - 5 - 1).
-55*l
Expand (3*p + 0*p + p)*(-p**3 - 3*p**3 - 15*p**3) - 3*p**4 + 0*p + 0*p.
-79*p**4
Expand -5*m + 5*m + m**3 + (m - 2*m + 3*m)*(3*m**2 - 2*m**2 - 3*m**2) + 2 - 2 + m**3 - 3*m**3 + 0*m**3 + m**3 + (3 - 3 - m)*(-47*m**2 + 136 - 136).
43*m**3
Expand (-18*g**5 + 6*g**5 - 15*g**5 + g)*(-3 + 2 - 2)*(-2 + 2 + 2)*(-2 + 2 + 2).
324*g**5 - 12*g
Expand (4*q - q - q)*(-319*q + 299 - 299).
-638*q**2
Expand (-9 - 2*d + 8 - 2 + (0 + 2*d + 0)*(-2 - 2 + 3))*((2 - 4 + 0)*(-3 + 1 + 0) + 6 - 4 - 1).
-20*d - 15
Expand w + w**2 + 2*w**2 - 2*w**2 + 0*w**2 + 2*w**2 + 0*w**2 + (-2 - 1 + 1)*(2*w**2 - 3*w**2 + 4*w**2) - 2*w**2 + 0*w**2 + w**2.
-4*w**2 + w
Expand 231*t**4 - 75*t**4 + 99*t**4 + (-t**3 + 3*t - 3*t)*(-t + 4*t - 2*t).
254*t**4
Expand (-79*v**2 - 73*v**2 + 205*v**2)*(2*v**2 - 4*v**2 - v**2) + (5 - 5 + v)*(-v + v - 2*v**3).
-161*v**4
Expand (4*y + 7*y**2 - 4*y)*(89*y**2 - 60*y**2 + 146*y**2 + 54*y**2).
1603*y**4
Expand (0*r - r + 0*r)*(-4 + 2 + 0) - 4*r + r + 2*r - r - 2*r + 5*r + 2 + 2*r - 2 - r - 3 + 3 - 61*r - 102 + 60*r + 26.
3*r - 76
Expand (s**2 + 3*s**2 - 3*s**2)*(50 - 72 - 100)*(3*s - 3*s - s).
122*s**3
Expand (6 - 2 - 3)*(2*h**3 + 3 - 3 + (h**2 + h**2 + 0*h**2)*(-6*h - 2*h + 5*h)).
-4*h**3
Expand (69*z + 231*z - 74*z)*(4*z - 5*z + 4*z).
678*z**2
Expand (-v**4 + 7*v**4 - 4*v**4)*(-v + 3*v - 4*v) + 185*v**5 - 64*v**5 + 80*v**5.
197*v**5
Expand (0 + 5 - 4)*(-1 - k + 1) - k - 1 + 1 + k + 2*k - 2*k + 14 - 43*k - 10 + 42*k.
-2*k + 4
Expand 7*w + 4*w - 7*w + (-6 + 2 + 2)*(-3*w + 3*w + 3*w) + w + 84 - 84.
-w
Expand (-51*f + 99*f - 52*f)*(89*f**4 - 32*f**4 - 36*f**4).
-84*f**5
Expand (0 + 1 + 0)*(-2 - 13 + 1)*(-194*j + 194*j - 3*j**5).
42*j**5
Expand (9*k**2 + 389 + 397 - 781)*(0 + 6 - 3).
27*k**2 + 15
Expand (-29 + 18 - 25)*(-7*w**2 + 5 + 0 - 7).
252*w**2 + 72
Expand -4*f**3 - 3*f**2 + 3*f**2 + (-2*f**2 - 3*f + 3*f)*(-146 - 58*f + 146).
112*f**3
Expand (166 + 137 - 109)*(-2*p**2 + 4*p**2 + p**2).
582*p**2
Expand (4*i**2 - 3*i**2 + i**2 - 1 - 2*i**3)*((-1 + 2 - 2)*(0*i**2 + i**2 + 0*i**2) + 11*i**2 - 9*i**2 + 13*i**2).
-28*i**5 + 28*i**4 - 14*i**2
Expand (-6 + 6 - 2*u)*(1 - 3 + 8)*(2*u - 3*u - u).
24*u**2
Expand (5*a - 5*a - 7*a**2 - 3 + 2*a**2 + 3 + (-1 + 1 + a)*(3*a - a - a) + 0*a**2 + 0*a**2 - 2*a**2)*(a + a + 0*a)*(-2 + 0 - 3)*(0 + 4*a + 0).
240*a**4
Expand (3*z**2 + z**2 - z**2)*(-1 + 1 + 3*z) - 8*z - 11*z**3 + 8*z + (1 - 3 + 0)*(-1 + 1 - z**3) - 3*z - z**3 + 3*z - 2*z**3 + 4*z**3 - 4*z**3.
-3*z**3
Expand (3 - 3 - 1)*(-3*m + 4*m - 4*m) + 345*m - 713*m + 321*m.
-44*m
Expand 10*l - 3*l**2 - 10*l + (-2*l + 0*l + 3*l)*(6*l - 3*l + l).
l**2
Expand (6 - 1 + 1)*(-2 - 2 + 6)*(-3 - 3 + 7)*(2*t + 1 - 1).
24*t
Expand (-4 + 1 + 1)*(-3 + 2*a + 3) + 9 - 196*a - 191*a + 386*a.
-5*a + 9
Expand (16*h - 3*h - 7*h)*(-2*h + 3*h + h) + (-9 + 3 + 2)*(h**2 + 0 + 0).
8*h**2
Expand (6*q + q + 0*q)*(6 + 54*q**2 + 7 - 13).
378*q**3
Expand -4*t + 5*t - 3*t + (-1 + 2 + 1)*(4*t - t - t) + 4*t - 4*t - t - 43 - 24*t + 43.
-23*t
Expand (f**2 - 2*f**3 - f**2)*(2*f + 3*f - 4*f) + (-2*f**3 + 0*f + 0*f)*(2*f - 2*f + f) + 5*f**3 - 5*f**3 + 10*f**4.
6*f**4
Expand (-2 + 2*k**3 + 2)*(3*k + k - 3*k)*(9*k + 1 - 1) + 7*k**5 + 5*k - 5*k.
25*k**5
Expand (-s**2 - 2*s + 2*s)*(3 - s**3 - 3)*(-746 - 514 - 65).
-1325*s**5
Expand (35 - 15 + 9 + 3*p + 37)*(-5 + 2 + 5).
6*p + 132
Expand y**3 - y**3 + y**3 - 181*y**3 - 1699 + 1699 + (0 - 2 + 1)*(0*y - 2*y**3 + 0*y).
-178*y**3
Expand (-3*w**3 + 2*w**5 + 3*w**3)*(1 + 0 + 0) - 114*w**3 + 1077*w**5 + 178*w**5 + 114*w**3 + 23*w**5.
1280*w**5
Expand (1 + 12*d**3 - 18 - 14*d**3)*(-1 + 1 + 11).
-22*d**3 - 187
Expand (-3 - 5*w**2 + 3)*(-w**3 + 0*w**3 - 9*w**3) - 2*w**2 + 2*w**2 + 2*w**5.
52*w**5
Expand -8*o**2 - 16*o**2 + 5*o**2 + (10 - 10 + 11*o**2)*(5 - 5 + 1).
-8*o**2
Expand (-2*b**3 + b**3 + 0*b**3)*(-3*b - 3*b + 4*b) - 2*b**4 + 3*b**4 - 2*b**4 + 2392 - 2392 + 238*b**4.
239*b**4
Expand 4*t + 0*t + t + (2 + t - 2)*(-27 + 156 + 242).
376*t
Expand (-6 + 0 + 9)*(-4 + 4 + 2)*(-6 + 3 + 0)*(-f**4 - 3*f**4 + f**4).
54*f**4
Expand (2 - 146*v + 85*v + 87*v)*(3*v**3 - 3*v**3 - v**3).
-26*v**4 - 2*v**3
Expand -2*l**4 + 7*l**4 - 10*l**4 + (-3 - l + 3)*(141*l**3 - 80 + 80).
-146*l**4
Expand (-10*u - 17*u - 11*u + (-2 + 1 + 2)*(-4*u + 0*u + 5*u))*(2 - 3 + 0 + 6 + 0 - 4 + (-2 + 2 - 2)*(0 - 1 + 3) - 3 - 1 + 3).
148*u
Expand -z**2 - 4*z + 4*z + 0*z**2 - z**2 + 0*z**2 + (-3*z - 24 + 24)*(-2*z - 2*z + 5*z) - 5*z - 4*z**2 + 5*z.
-9*z**2
Expand (-2*i**2 - 4*i**4 + 2*i**2)*(-15*i + 230*i + 11*i).
-904*i**5
Expand (-9382 + 23*h + 9382)*(-2 + 2 + h**2) - h*
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{
"pile_set_name": "DM Mathematics"
}
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the second biggest value in t, 0.2, -3, 0.5?
0.2
Let h = -1.462 - -1.442. What is the second biggest value in 0, -5, h, 2/11?
0
Let p = 0.0858 + 4.9142. Let y be (-1)/(-4)*(2 + 2). What is the second smallest value in -3, y, p?
y
Let v = -1.1 + 0.2. Let x = v - -4.9. Let g = 474/91 - 64/13. Which is the second smallest value? (a) x (b) g (c) 0.5
c
Let m = -8581/10 - -855. Let p = -5/2 - m. What is the third biggest value in -0.5, p, 26?
-0.5
Let p(h) = 6*h - 17. Suppose -3*r + 2*r - 8 = 0. Let b be p(r). Let c be 1 - b/(-75) - 0. What is the biggest value in c, 0, 2?
2
Let z(k) = k. Let q be z(4). Let j = 483 - 483.199. Let x = 5.199 + j. Which is the biggest value? (a) q (b) x (c) -0.6
b
Let q = -0.31 + -121.29. Let u = 121 + q. What is the second smallest value in 2, -1, u?
u
Let v = 4.7 + -5. Let s = -250 + 247. What is the third biggest value in s, 0.11, v?
s
Suppose -703*v - 21 = -696*v. Which is the biggest value? (a) 0.011 (b) 2/7 (c) v
b
Let u = -35.5 - -33.5. Which is the second biggest value? (a) u (b) -5 (c) 2/9 (d) -0.4
d
Let x = -4.26 - -0.26. Let l = 66 + -66. Which is the third smallest value? (a) x (b) -13 (c) -0.3 (d) l
c
Suppose 18 = 3*m - 3. Let y = m + -3. Suppose 3*s - y*s = 0. Which is the biggest value? (a) -5/4 (b) s (c) 5
c
Let f be 1/(-9)*(-25 - -27). What is the biggest value in -0.069, f, 2/3?
2/3
Let g(n) = -n**2 + 3*n + 42. Let i be g(8). Let k = -0.4 - -3.4. What is the second smallest value in i, 5, k?
k
Let q(z) = -9*z. Let j be q(-1). Suppose 0 = 4*x - 19 - j. Suppose 0 = 5*y + 13 + x. Which is the third smallest value? (a) 2 (b) 3 (c) y
b
Let h = -8 + 20. Suppose -7*b + 9*b = h. What is the third biggest value in -4/5, b, 0.4?
-4/5
Let y = -0.008 + 4.008. Let i = -2/5 - -29/35. Which is the third biggest value? (a) -1 (b) -2/11 (c) y (d) i
b
Let t = -108 - -62. Let x = -49 - t. What is the third biggest value in x, -0.3, -1/4?
x
Let y = -40 + 43. Let b = -0.1 - 0.1. Let o = 0.2 + b. What is the second biggest value in 5, y, o?
y
Let h be (3 + -6)/((-7)/((-28)/(-18))). What is the third biggest value in -4, 2, h, -0.4?
-0.4
Let y be (24/10)/((-336)/(-120)). Which is the fourth smallest value? (a) -5 (b) 0.2 (c) -2 (d) y
d
Let k be ((-8)/30)/(5/(-500)). Let n = k + -26. What is the smallest value in n, 1/3, 3?
1/3
Let o = 0.06 + -2.06. Let p be -9 + ((-16)/(-24) - -8). Which is the second biggest value? (a) o (b) p (c) 2 (d) -2/19
d
Let o = -0.5 - 2.5. Let m = 18 + -17.9. Let k = m - 5.1. Which is the second smallest value? (a) k (b) o (c) 5
b
Let k be 12 + (-8078)/490 - (-2)/7. Which is the second smallest value? (a) k (b) 0.15 (c) -2/5
c
Let p be ((-2)/(-7))/(((-8)/(-7))/8). What is the biggest value in -4, p, -0.3, -2/9?
p
Let v = -8.9 + 8.7. What is the biggest value in 2/19, 2/51, -0.1, v?
2/19
Let r = -110 - -113. Let v = -1.22 - -1.1. Which is the second smallest value? (a) 2 (b) r (c) v
a
Let p = 3.2 - 2.88. Let r = p + -4.32. What is the second smallest value in -1, -0.2, r?
-1
Let s be (-12)/(-10)*22 - 9/(-15). Which is the biggest value? (a) s (b) 2/7 (c) 0.2
a
Let h = 139.2 - 139. Which is the biggest value? (a) h (b) -33 (c) 2/11
a
Let f = 235.8 - 236. What is the smallest value in -0.9, -1/2, -4/5, f?
-0.9
Let s = 913/4 - 224. Let u = s - 247/60. Which is the second smallest value? (a) -6 (b) 0 (c) u
b
Let u = -8 - 11. Let n be (0 + 0 + -2)/(16/12). Let z be 3/12 + (-5)/(-12). What is the third biggest value in z, n, u?
u
Let h = 0.003 + -0.403. Which is the smallest value? (a) -1/7 (b) 0.151 (c) 1 (d) h
d
Let q = -191/301 + 15/43. What is the smallest value in -3, 19, q?
-3
Let f be 18/42*((-28)/6 - -5). Which is the fourth smallest value? (a) -7 (b) 0.1 (c) -0.5 (d) f
d
Let r = 9.83 - 116.63. Let v = r + 107. Which is the second smallest value? (a) 5 (b) v (c) 1/9
b
Let x be (-9)/3 + (-2 - -2). Let d = -449/5 - -89. Which is the biggest value? (a) x (b) d (c) 1
c
Let b = -1.49 + 1.09. Let x be 9/(-6)*3*(-4)/18. What is the third smallest value in 1/3, -0.2, x, b?
1/3
Suppose -136 + 11 = 25*q. What is the second smallest value in q, -3/4, 31.8?
-3/4
Let z = -69739/177 - -394. Let j = z - -62/531. Which is the third smallest value? (a) -2 (b) j (c) -3/4 (d) -4
c
Suppose 20*r - 6*r - 70 = 0. Suppose r = 2*s + 7. Let t be -1*((-16)/3)/2. Which is the second smallest value? (a) 0 (b) s (c) t
a
Suppose z = 6*z + 20. Let c = 19 + -1. Let t = -19 + c. What is the second smallest value in z, t, 0.4?
t
Let q = 45.34 - -0.66. Let g = 44 - q. Which is the smallest value? (a) 2 (b) g (c) -2/19
b
Let h = -2.02 - -4.02. What is the second smallest value in h, 1, 5, -6?
1
Let x = 28 + -26.3. Let s = 4.7 - x. Let g = 5 - s. Which is the third biggest value? (a) -5 (b) g (c) -2/5
a
Let v(h) = 5*h - 26. Let i be v(6). Let s be (-23)/38 - (-2)/i*1. Which is the third smallest value? (a) -3 (b) 1 (c) s (d) -0.4
c
Suppose -3*d + d + 3*u - 5 = 0, 30 = 4*d + 2*u. Let g = -17 - -14. Which is the smallest value? (a) g (b) d (c) -2/3
a
Let k = -584 + 2335/4. What is the smallest value in 70, k, -0.3?
-0.3
Let y = -107.8 + 108. What is the biggest value in -3, -353, y, 0?
y
Let n = -381 - -383. Which is the second biggest value? (a) 0 (b) n (c) -7
a
Let f = -6.5 - 0.1. Let b = f + -1.4. What is the third smallest value in -2, b, 2/15?
2/15
Let z = -4.5 - -8.5. Which is the second smallest value? (a) -1/6 (b) -4 (c) 45 (d) z
a
Suppose -z - 3*c - 544 = 3*z, -5*z - 675 = 5*c. Let n = 413/3 + z. Let b = -328.1 - -328. What is the biggest value in n, -0.3, b?
b
Let u = -410 - -420. Which is the biggest value? (a) -2 (b) -5 (c) u
c
Suppose 0*n - 5*n = -2*t, 10 = 5*n - 4*t. Let r be 0 + ((-4)/2 - n). Which is the second smallest value? (a) r (b) 2/11 (c) 1/4 (d) -3/2
a
Suppose 0 = u - 4*u + 36. Let d = -24 + u. Let w be 16/d + (-258)/(-207). What is the third biggest value in w, -0.1, 1/4?
-0.1
Let q = 16.2 - 0.2. Let n = q - 13. What is the biggest value in 10, -3, n?
10
Let c be 6/(4/(-6)*-3). Let t = 1469 + -1474.036. Let x = t + 0.036. What is the smallest value in x, c, -3/5?
x
Let q = -1615.7 - -1616. What is the biggest value in 1, 0, q, 68/7?
68/7
Suppose 99*m - 89*m + 190 = 0. Which is the third biggest value? (a) 0.5 (b) m (c) 2/13
b
Let z be (-18)/(-4)*(-28)/42. Which is the third smallest value? (a) z (b) 3 (c) 190
c
Let u = -0.237 - -0.037. Suppose -5*s + 2*j = -28, -2*s - 4 = -2*j - 20. What is the third smallest value in u, s, 5?
5
Let h = 28.9 + -29. Let n = 116 - 124. Which is the smallest value? (a) h (b) 5 (c) n
c
Let u be ((-28)/(-490))/(-1*3/(-30)). Suppose -2*f - 6 - 4 = 0. Suppose g + 5 + 17 = 5*q, g + 6 = q. Which is the second biggest value? (a) f (b) u (c) q
b
Let z = -1/39 + -49/117. Which is the smallest value? (a) z (b) 9 (c) -4
c
Let m = 2.94 + -6.94. Which is the biggest value? (a) -2.3 (b) m (c) 0.06
c
Let k be (-14)/8 + 6/3. Let o = 0.8044 + -0.7744. Which is the second smallest value? (a) 1 (b) o (c) 3 (d) k
d
Suppose -z = z + 4. Let p = 0.27 + -0.67. What is the second smallest value in z, p, 4/3?
p
Let o = 46 + -50.96. Let x = -0.04 + o. Let q be 96/45 + 0 - 2. What is the smallest value in q, 2/7, x?
x
Let f = -0.44 + -10.56. Let l = f - -13. Suppose 4*g + 6 + 6 = 0. What is the third biggest value in g, l, -0.4?
g
Let x = 1.6 - 1.9. Suppose 2*d + d + 3 = 0. Which is the third biggest value? (a) x (b) 0.2 (c) d
c
Let d = 0.218 - 0.218. What is the third smallest value in 0.5, 4, -1/8, d?
0.5
Let r = 39 - 44.8. Let v = r - -6. Let w = v - -5.8. Which is the third smallest value? (a) w (b) 0.3 (c) -5
a
Suppose a - 2 = -1. Let r = 43.7 + -50. Let j = -6.1 - r. What is the third biggest value in a, j, 0?
0
Suppose 4*r = 3*q + 25, -4*q - 18 - 6 = -3*r. What is the smallest value in -0.1, q, -12?
-12
Let t = 25 + -24. Which is the smallest value? (a) t (b) 31/3 (c) 2/7 (d) 5
c
Let x = 0.691 - 0.591. What is the third biggest value in -2.3, -0.03, x?
-2.3
Let w = 0.768 - 0.268. What is the second biggest value in -0.3, w, -0.1, 1?
w
Let q = 187.969 - 188. Which is the fourth biggest value? (a) q (b) -3/4 (c) 0.5 (d) -0.2
b
Let n = 2565 - 2550. What is the smal
|
{
"pile_set_name": "DM Mathematics"
}
|
third derivative of -m**4*r**2 + 12*m**4 + 674*m**3*r**2 + 2144*m**2*r**2 - 6*r**2 wrt m.
-24*m*r**2 + 288*m + 4044*r**2
Find the second derivative of 3071*f**3 + 338*f**2 + 4741504*f.
18426*f + 676
What is the third derivative of -1216*j**6 - 2*j**3 - 151189*j**2 wrt j?
-145920*j**3 - 12
Find the second derivative of 92*t**4 + 385*t**3 + 2*t**2 - 7*t - 7091.
1104*t**2 + 2310*t + 4
What is the derivative of -877867*p**2 - 2*p + 2601305?
-1755734*p - 2
What is the second derivative of 56249*m**4 + 62494*m wrt m?
674988*m**2
Find the third derivative of -306418*x**3 - 1680*x**2 - 36*x wrt x.
-1838508
Find the second derivative of 2*o**5 + 114*o**4 - 10*o**3 + o + 134924 wrt o.
40*o**3 + 1368*o**2 - 60*o
What is the third derivative of -241759*s**6 - 171937*s**2 wrt s?
-29011080*s**3
Differentiate 44426*a**2*b**2*p - 7*a**2*b**2 - 2*a**2*b - 84*a*b**2 + 10*a*b*p - 109*b**2 with respect to p.
44426*a**2*b**2 + 10*a*b
Differentiate 5914*u**4*z**3 + 2*u**4 + 15*z**3 + 48*z - 5 with respect to u.
23656*u**3*z**3 + 8*u**3
What is the third derivative of 58012*h**3 + 4622*h**2 wrt h?
348072
What is the third derivative of -82777*n**2*z**4 + 5*n**2*z**2 - 2*n**2*z + 5*n**2 - 4*n*z**4 - 30*n*z - z**2 wrt z?
-1986648*n**2*z - 96*n*z
Differentiate n**2*o**2 - 650*n**2*o - 1258*n**2*r + n*o**3 - 2*o**3*r + 3 with respect to r.
-1258*n**2 - 2*o**3
Differentiate -3381*m**3 - 4*m**2 - 325853.
-10143*m**2 - 8*m
What is the derivative of -2023*w**4 - 22*w + 222649 wrt w?
-8092*w**3 - 22
What is the third derivative of 3*z**5 + 38234*z**3 + 2*z**2 + 17*z - 6269?
180*z**2 + 229404
What is the first derivative of 784885*k + 3362382 wrt k?
784885
What is the first derivative of 257448*d**3 + 2336054 wrt d?
772344*d**2
What is the second derivative of 2*f**3*o - 17*f**3 - 27*f**2*o + 103*f*o + 2*f - 22 wrt f?
12*f*o - 102*f - 54*o
Find the first derivative of -y**2 - 7440*y + 118170 wrt y.
-2*y - 7440
Find the second derivative of -6*c**4 - 45*c**3*d - 494*c**2*d**2 - c*d**2 - c*d + 66*c - 3*d**2 + 22*d wrt c.
-72*c**2 - 270*c*d - 988*d**2
What is the second derivative of -3*h*i*w**4 + 2*h*i*w**2 + 3*h*i*w - 107*h*i + 9*h - 645*w**2 wrt w?
-36*h*i*w**2 + 4*h*i - 1290
What is the third derivative of -154169*j**3 + 954*j**2 + 58*j wrt j?
-925014
Differentiate 5030*a**3*t + 3811*a**3 + 3*a**2*t + 4*a with respect to t.
5030*a**3 + 3*a**2
What is the second derivative of -4342898*h**2*o**2 - 48*h - 6796*o**2 + 2 wrt h?
-8685796*o**2
Differentiate 290923*w**2 - 126742.
581846*w
Find the third derivative of -239708*v**5 + 13613*v**2 + v.
-14382480*v**2
What is the third derivative of 34*r**4 - 2450*r**3 - 2*r**2 - r - 13753 wrt r?
816*r - 14700
Differentiate -492193*q - 437955 wrt q.
-492193
What is the derivative of -3*j*s**3 - 22838*j*s**2 + 4*j - 1565 wrt s?
-9*j*s**2 - 45676*j*s
Find the third derivative of -34062*n**3*v**2 + 54*n**2*v**2 + 3*n*v**2 - 2*n + 26 wrt n.
-204372*v**2
What is the second derivative of -2*l**5 + 4*l**4 - 1311*l**3 - 218150*l wrt l?
-40*l**3 + 48*l**2 - 7866*l
Find the first derivative of 5*h*q - 4934*h - 195*q + 128 wrt h.
5*q - 4934
What is the first derivative of -282588*v**2 + 564081 wrt v?
-565176*v
Find the first derivative of -a**3*q - 340*a**2*q + 23*a*q**2 + 63*q**2 - 851*q + 6 wrt a.
-3*a**2*q - 680*a*q + 23*q**2
What is the third derivative of -8*k*n**3*v - 46*k*n**3 - 2*k*n - 156*n**3*v - n**3 + 17543*n**2*v - v wrt n?
-48*k*v - 276*k - 936*v - 6
Find the third derivative of -2940590*f**4 - 8*f**2 + 122048.
-70574160*f
Find the first derivative of 88008*i*v + 908301*i wrt v.
88008*i
Differentiate 15*r**2*x - 27776*r**2 + 83*x**2 with respect to x.
15*r**2 + 166*x
What is the first derivative of 52*c*h*o**2 + 3*c*h - 3*c + 17*h*o**2 + h + 3*o - 21 wrt o?
104*c*h*o + 34*h*o + 3
What is the third derivative of 294498*h**5 - 3*h**2 + 9*h + 3380 wrt h?
17669880*h**2
What is the third derivative of -1464*d**3*i**3 - 18*d**3 + 6*d**2 - 26*d*i**2 - d*i - 8*i**3 - 2*i**2 wrt d?
-8784*i**3 - 108
What is the second derivative of 1446273*f**4 + 68777*f - 1 wrt f?
17355276*f**2
Find the first derivative of -b*h*w**3 - 822*b*h*w - 39*b*w**2 - 7*b*w + h*w**2 + w**3 wrt h.
-b*w**3 - 822*b*w + w**2
What is the third derivative of 388*a**5 - 366*a**4 - 188*a**2 - 10273 wrt a?
23280*a**2 - 8784*a
What is the second derivative of -1766*t**4 + 9*t**3 - 42*t - 252 wrt t?
-21192*t**2 + 54*t
What is the derivative of 257647*s**2*z**2 + 45*z**2 - z + 595 wrt s?
515294*s*z**2
Find the second derivative of 69*a**3 - 1109*a**2 - 56353*a wrt a.
414*a - 2218
Find the third derivative of a*m**3*n + 2*a*m**3 + 3*a*m**2*n + a*m**2 - 2*a*m*n - 495*m**3*n - 19*m**3 - m**2*n + m**2 + 278*m wrt m.
6*a*n + 12*a - 2970*n - 114
Differentiate -337811*h**4 + 520603.
-1351244*h**3
What is the third derivative of -14972*l**5 + 12*l**2 - 2*l - 162?
-898320*l**2
What is the first derivative of -7*n**4 + 2481*n + 9286?
-28*n**3 + 2481
What is the third derivative of -5255304*r**5 + 55*r**2 + 7*r + 492 wrt r?
-315318240*r**2
What is the first derivative of -1290154*j*y**3 + 3*y**3 + 7*y**2 - 1139*y + 2 wrt j?
-1290154*y**3
Find the third derivative of -31346*p**4 - p**3*r - 8*p**2 - 29*p*r - 1 wrt p.
-752304*p - 6*r
Find the first derivative of 9*o**4 + o**3 + 53*o + 611511.
36*o**3 + 3*o**2 + 53
What is the third derivative of 6*w**5 + 1028*w**3 + 49*w**2 + w - 2?
360*w**2 + 6168
Differentiate 2766*n*r + 25703*n - 9*r wrt r.
2766*n - 9
What is the third derivative of -1233798*w**5 + 59*w**2 - 1217*w wrt w?
-74027880*w**2
What is the second derivative of -3*k**2*p*r - 3251*k**2*p - k**2*r**2 - 2*k*p - 2*k*r**2 - 4*p*r - r**2 + 24*r wrt k?
-6*p*r - 6502*p - 2*r**2
What is the third derivative of -4533*b**6 - 233*b**4 - 2214005*b**2?
-543960*b**3 - 5592*b
What is the third derivative of -o**4*x**2 - 689*o**4*x - 3*o**4 - 23*o**2*x - 14*o**2 + o*x - 14*x**2 wrt o?
-24*o*x**2 - 16536*o*x - 72*o
What is the derivative of -16*g**2*i + 338105*g**2 + g*i + 2*i**2 - 903*i wrt i?
-16*g**2 + g + 4*i - 903
What is the derivative of -a**2 - 32562*a - 73567?
-2*a - 32562
Find the second derivative of 848723*z**2 + 3325*z - 4.
1697446
Differentiate -28387*z - 2095.
-28387
What is the first derivative of -402053*p*u**4 - 296*p - 116 wrt u?
-1608212*p*u**3
Differentiate -13*m**2*u - 11974*m**2 + 1925*u with respect to u.
-13*m**2 + 1925
What is the derivative of -5*f**2*k + 46250*f**2 + 1648*k wrt k?
-5*f**2 + 1648
Find the first derivative of 31*b**2*p + 6*b**2 + 5*b + 13525*p - 3 wrt b.
62*b*p + 12*b + 5
What is the second derivative of 552539*j**3 - 339*j + 368?
3315234*j
What is the first derivative of -92536*c - 92378?
-92536
What is the derivative of -2709*f**2 - 37*f - 146741?
-5418*f - 37
What is the third derivative of -f**3*r**4 - 8*f**3*r**3 - 10*f**3*r - 304*f**2*r**2 + 107*r**4 wrt r?
-24*f**3*r - 48*f**3 + 2568*r
Find the first derivative of 439202*f + 133821 wrt f.
439202
What is the third derivative of 532295*l*u**3*z**3 - 4*l*u**3*z**2 - 65*l*u**3*z - 2*l*u**2*z**3 - l*u**2*z**2 + 28 wrt z?
3193770*l*u**3 - 12*l*u**2
What is the third derivative of -25795*v**4 - 2733*v**2 + 2*v wrt v?
-619080*v
Find the third derivative of -386712*u**3 + 233058*u**2.
-2320272
What is the derivative of -665*d**2 - 12*d*n + 45503*n wrt d?
-1330*d - 12*n
Find the first derivative of -g**4*i + 1945*g**2*i + g*i + 12094*i + 3 wrt g.
-4*g**3*i + 3890*g*i + i
Find the second derivative of -57*d**5 + 70*d**4 - 29010*d - 2.
-1140*d**3 + 840*d**2
Find the second derivative of 10470*g**2 - 192*g - 8.
20940
Differentiate -145993*m**2*r**2 + 2*m**2*r - 28*m**2 + 879 wrt r.
-291986*m**2*r + 2*m**2
What is the second derivative of -9272*g**2*o**2*w - 6*g**2*w**3 - 3*g*w**3 - 3*g*w**2 + 2*o**2*w**3 - o**2*w - 2*o - 3184*w**2 wrt g?
-18544*o**2*w - 12*w**3
What is the second derivative of n**3 + 13074*n**2 + 3816*n?
6*n + 26148
Differentiate -357635*g**4 - 207877 with respect to g.
-1430540*g**3
Differentiate -453940*a**2 + 846850 wrt a.
-907880*a
Find the third derivative of -99996*c**4 - 4*c**3 - 160524*c**2.
-2399904*c - 24
What is the third derivative of -c**4 + 6748*c**3 + 446068*c**2 wrt c?
-24*c + 40488
Differentiate 534323*n**2 + 1152144 wrt n.
1068646*n
What is the second derivative of -30*j**2*z**
|
{
"pile_set_name": "DM Mathematics"
}
|
= 10*u - 13. Let w be c(4). Suppose -w*f + 24*f = -9. Solve 5*q - 4*l = 0, -2*q + 33 = 2*l + f*l for q.
4
Let f = -744 - -747. Suppose -16 = -2*b - 5*p, p - 16 = 2*b - 2*p. Let y be (-82)/(-5) + b/5. Solve -3*s + 4*v - y = s, -4*v = f*s + 19 for s.
-5
Let k = -33 + 37. Suppose 0 = -k*x - x + 20. Solve 13 = 5*o + 3*y, x*o - 5*y = -o + 5 for o.
2
Let j be (0 + -2 + 3)*(6 - 7). Let d be (3 + j)*77/14. Solve 23 = -2*u - 2*u - 3*o, -o - d = 2*u for u.
-5
Suppose 0 = 19*r - 12*r - 49. Solve -4*w - r - 3 = 3*k, 0 = w + 1 for k.
-2
Let q(r) = 5*r - 1 + 2*r + 120*r**2 - 121*r**2. Let s be q(6). Solve s*c - 37 = 5*b - b, b = 3*c - 18 for b.
-3
Let i be -2 + (-2)/(4/(-86)). Suppose i*o + 45 = 46*o. Solve -o = -m - 3*x, 2*x + x + 3 = 3*m for m.
3
Let v(l) = -2*l - 6. Let u be v(-4). Suppose -111*n + 4 = -107*n. Suppose -u*p + n = -3. Solve -i - 5 = -3*m, -i + p*m - 2 - 1 = 0 for i.
1
Let q = 149 - 144. Solve 0 = -4*m + 12, -7*m + 32 = q*c - 3*m for c.
4
Suppose -k - 1 = -5*m - 5, -5*k + 112 = -2*m. Let p = k - 24. Let t be ((-15)/6 - -2)*p. Solve t - 16 = 4*g - j, -4 = j for g.
-5
Suppose 12*m = 33 + 15. Solve -5 = n + 4*u - 23, 2*n - 2*u + m = 0 for n.
2
Suppose -11*y - 16 + 71 = 0. Suppose -2 + y = w + x, 4*w - 6 = -2*x. Solve -4*k - b = w, -3*k = -k - 4*b for k.
0
Suppose -24*q + 66 = -54. Solve 0 = -5*j - 5*r + 40, -q*r + 10*r = 20 for j.
4
Let z = -35 - -35. Suppose z*q - 3*q = -78. Suppose u + 16 = q. Solve -4*d - 4*w - 20 = -0*d, -2*d + 4*w = u for d.
-5
Let w = 4 - 1. Let p be -11 + 31 + 2*2. Let y = 24 - p. Solve 2*t + 5*c - 4 = -y, 2*t = w*c + 4 for t.
2
Let r(n) = -n + 4. Let k be r(-3). Let v be (-2)/((-2)/k*1). Solve -w + v*o = 3*o - 17, 5*w = -o + 22 for w.
5
Let k = -103 - -108. Solve -k*m + 3*b - 12 = 15, -4*m - 4*b + 4 = 0 for m.
-3
Suppose -4*r = -7*r, 4*o - 4*r - 144 = 0. Suppose -u + 5*u = 0, 2*u = -3*a + 306. Let d be a/27 - (-8)/o. Solve 2*l + 16 = -3*k + d*l, -k + 4 = 4*l for k.
-4
Let z be 9 - (-64)/8*(-2)/(-4). Solve 0 = -2*m + 2*t + 2, -4*t + t = m - z for m.
4
Suppose -3*k = -3*b - 18, -b + 12 = 3*k + 2*k. Let u be (b/(-4))/((-1)/(-24)). Suppose 13 = 5*v - 12. Solve -3*r - 3*h = -u, v = 5*r - 2*h + 3 for r.
2
Suppose 0 = -4*p + 3*t + 74 - 73, 3*p = -2*t + 22. Solve 2*w - 7*w - 3*c = 15, -9 = 3*w + p*c for w.
-3
Suppose 5*b + w - 1 = 0, -4*w + 2*w = 3*b - 2. Suppose -4*u + 5*k - 5 = b, 3 = -u - u + 3*k. Solve a + 3 + u = 3*y, 4*y + 7 = 5*a for a.
3
Let n = -3 - -5. Suppose -24 = -4*j + 4. Suppose -n*o = -4*y - 3*o + j, 5*y = -3*o + 7. Solve 2*x - y = 4*w, 4*w - 8*w = -x + 3 for w.
-1
Suppose 2*q = -5 + 13. Suppose q*m = 2*b + 42, -4*m + b = m - 54. Solve -4*k + m + 15 = 2*u, -k = 2*u - 14 for k.
4
Let a be ((-16)/10)/(-2) - 176/(-80). Solve 0 = -4*u - 2*n + 9 + 9, -u = -a*n - 1 for u.
4
Suppose 0 = 298*m - 292*m. Suppose u = 3*u - 8. Let k = -2 + u. Solve m = k*i - 3*r + 7*r + 10, -i = -4*r - 7 for i.
-1
Suppose 7 = 3*r - 56. Suppose 0*a + 3*f - r = -a, -5*f = 3*a - 43. Solve -3 = -2*i + a*k - 3*k, 8 = 3*i - k for i.
3
Let h be 1036/481 + 4/(-26). Solve -4*f + 3*c - 5 = 0, 0*c = f - h*c for f.
-2
Let f(t) = -t**2 - 33*t - 155. Let g be f(-27). Solve 4*w = 4*q - 32, -2*q + 17 = -4*w - g for q.
4
Suppose -o = y - 0*y + 2, 0 = -5*o + 2*y + 18. Solve 4*d = 2*r + r - 8, -4*d + 12 = o*r for d.
1
Suppose -4*y - 2*i = 26, -5*y - 19 = -i + 10. Let u = y - -10. Solve -16 = -u*a, r + 4*a - 16 = -0*a for r.
0
Let r be (2 - 4)*(-30)/60. Solve -5*b - 2*l + 5*l + 7 = 0, r = 3*b - 5*l for b.
2
Let z(p) = -13*p**3 + 3*p**2 - 15*p - 17. Let v be z(-1). Solve o - v = -4*j, 4*o + 3*j - 23 = -2*j for o.
2
Let q = 21 + -17. Let d(m) = 14*m + 41. Let l(c) = 5*c + 14. Let s(n) = -6*d(n) + 17*l(n). Let v be s(11). Solve -2 = -3*j - w, v*j + 5*w - 2 = -q for j.
1
Suppose -2*q = -28 + 18. Solve x = 2*c - q, 2*x - 16 = -4*c + 6 for x.
3
Let n = -58 - -44. Let f be (2/4)/((-1)/n). Solve 3*i + f + 12 = -2*u, -4*u + 17 = -5*i for u.
-2
Let c(o) = o**3 + 8*o**2 - 2*o - 13. Let b be ((-7)/3 - -1)/(31/186). Let d be c(b). Solve -2*y - l = -3, l - 2 = -d*y - 0 for y.
-1
Suppose 0 = -3*t + 5*u + 9, -3*t - 3*u = -6*t + 9. Suppose -p = -3*a + 71, -5 = t*p + 1. Solve -5*n = 4*q - 6 + a, -5 = n for q.
2
Suppose 2*y + 5 + 5 = -4*n, -4*y - 20 = 0. Let c(g) = g**3 - g - 6. Let r be c(n). Let x be 7 - (-4)/(8/r). Solve 0 = 4*t - 2*t - x, -12 = 3*u - 3*t for u.
-2
Let u be ((-1)/(-1))/(-1)*36/(-12). Suppose 0 = 6*t - u*t. Solve -1 = 2*n + 2*q + 3, t = -n - 3*q - 8 for n.
1
Suppose 2*b + 81 = 87. Let m = 5 - 7. Let f be (-15)/(-25) + m/(-5). Solve 5*n - b*w - f = w, 26 = -2*n - 5*w for n.
-3
Let t = -28 - -20. Let f be (-4)/(-12)*(-2 - t). Solve -s - f*g = 10, -4*s - 3*g - g = 28 for s.
-4
Let x = 30 - 27. Solve 4*n - 8 = v + 9, 0 = -2*n + x*v + 1 for n.
5
Suppose 3*r - z - 41 = 0, 5*r = 2*z + 3 + 67. Let v be ((-2)/4)/((-2)/r). Solve 2*g - 9 = i, v*g = -0*g - 5*i - 6 for g.
3
Let a(n) = n + 6. Let b be a(-6). Let v = 0 + b. Suppose -5*s + 4 + 6 = v. Solve u = -4*r + 11, -s*r + u + 7 = -0*r for r.
3
Let z be 4/10 - (-4)/(-10). Let m = -6512 - -6514. Solve m*x = -2*x + 3*y - 17, 5*x + 4*y + 29 = z for x.
-5
Suppose 6 = 5*c - 4. Let o be (-16)/(-2) - 2*c. Solve 0*v - 21 = -o*w + 5*v, -5*v - 22 = -3*w for w.
-1
Let t be 13/(52/(-32)) + 10. Solve 2*g = -3*f + 6*g + t, 4*f - 4*g = 0 for f.
-2
Let u be -2*(-425)/204 - 1/6. Solve 4*k = -4*c + c + u, 4*c - k = -20 for c.
-4
Let w be 7/((-56)/(-16)) - -3. Solve o + 5 = 2*o + 3*l, -w*o - 13 = -4*l for o.
-1
Let k be ((-40)/50)/(1/(-5)). Suppose -k*a = 5*w - 14, w = 4*a - 42 + 16. Solve -p = p - t - a, 5*t = -5*p for p.
2
Suppose -4*f = 2*l + 12 - 8, 4 = -l - 3*f. Solve 3 = -b, 2*k + l*b + 3 = -1 for k.
1
Let f be (-216)/(-264) + 4/22. Solve 0 = 5*k + 4*y + f, k - 4 = 4*k - y for k.
-1
Suppose -4*d - 13 + 4 = -l, 19 = 4*l + d. Suppose 150 = i + l*i. Solve k - 20 = -4*g, -5*g + 3*k + 0 + i = 0 for g.
5
Let f be 4/(-32)*-4*(4 - 2). Solve -2*q + 2*r = -0*q - 8, f = -5*q - 2*r for q.
1
Let z be 2 - (3 - 2) - -5. Suppose c + 3 = z. Let n be 4/(-10) - 27/(-5). Solve -n*p = 2*i + 22, 5*i + 4*p + 18 + c = 0 for i.
-1
Suppose 5*o - 2*z - 5 = 0, 5*o - 2*z + 7*z - 40 = 0. Suppose 0 = v - 32 + 3. Let c be 4/20 - v/(-5). Solve -4*g = 3*r - 4 + 11, -3*g - o*r = c for g.
-1
Suppose 3*b - 22 + 6 = 2*c, 5*b - 2*c - 20 = 0. Solve -i - p = -b, -4*i + 3*p = -5*i + 4 for i.
1
Let a(o) = -o**3 + 4*o**2 - 10*o + 26. Let i be a(3). Solve -2*l + i*w = 0, 0*w = 4*l - w for l.
0
Let u(o) = -o**2 - 13*o + 2. Let l be u(-13). Solve 8*q - 3*q - 5 = 0, 4*q - 6 = l*z for z.
-1
Let z = 11 - 21. Let g be (-46)/z + (-4)/(-10). Solve m + g*c = c - 11, -3*c = m + 8 for m.
1
Let p be 9 + 2/(0 + -2). Suppose -18 - 22 = p*l. Let g = -1 - l. Solve g*h + 2*u = -10, 5*u - 2 + 1 = 3*h for h.
-2
Let l = 0 + 3. Let z(v) = v**3 - 60*v**2 + 8*v - 480. Let p be z(60). Solve -5*i + n + 15 = p, -l*n + 0 = i + 13 for i.
2
Let k be (-2 - -4)*1 + (-22 - -22). Solve -3*i + n - 9 + 1 = 0, -5*n = -k*i + 12 for i.
-4
Suppose 0 = 2*a + 2*o + 4, 3*a = 6*a - 5*o - 10. Suppose -5*y - 1 = -21. Solve -y*m - m - 8 = 2*h, -3*h + 4*m - 12 = a for h.
-4
Let n be (-2)/(-5)*(-10 + 45). Solve n = -3*k + 5*a, 3*k - 3*a = 1 - 13 for k.
-3
Let z be ((-2)/4)/((-1)/4). Suppose -3*n = 2*n - 20. Let y(t) = -t**3 + 5*t**2 + 4*t - 5. Let d be y(5). Solve -3*h + 3*r = d, 6*r - r + z = -n*h for h.
-3
Suppose -h + 6*h - 15 = -3*v, -9 = -3*h - 2*v. Solve -h*j = 5*r - 17, 0 = -j - r - 4 + 7 for j.
-1
Let u be 52/(-65)*10 - -22. Solve 0 = 5*k + 3*c - 22, -k - c + u = 2*k for k.
5
Let p(n) = -n**3 - 5*n**2 - 6*n - 6. Let t be p(-4). Solve -t*h = h - z - 13, -2*z - 2 = 0 for h.
4
Let d be (-9)/36 + 25/4. Suppose -u + 3*u = d. Suppose 40 = u*s + b, 4*b = s - 5*s + 48. Solve -2*o = -m - s - 1, -5*m + 2*o = 35 for m.
-5
Suppose 20 = 5*v, k = -v - 0*v + 22. Solve -n = -4*n - 2*m + k, -12 = -4*m for n.
4
Suppose -2*v = 5*c - 8*c - 75, -3*v = 5*c - 103. Let r = 40 - v. Solve -3*o = r*l + 26, 2*l + 0*l + 3*o + 16 = 0 for l.
-5
Suppose -3*q + 5*t - 10*t + 25 = 0, -4*t = -4*q + 12. Solve 5*n + 30 = 5*i - 0, -n + 24 = q*i for i.
5
Let o be 6/4 + -1 + 86/(-172). Solve 3*v = 9, o = 5*s + 2*v - 0*v - 26 for s.
4
Let d(i) = -10*i**3 - 2*i**2 - i. Let z be d(-1). Let b = 9 - z. Solve 4*k - 2*j - 10 = b, 2*k - 3*j = 2*j + 9 for k.
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(1452) - (sqrt(1452) + (sqrt(1452) - (-1*sqrt(1452) + sqrt(1452) + sqrt(1452)) - sqrt(1452)))))/(sqrt(66)/sqrt(44) + sqrt(6))*-6.
-88*sqrt(2)
Simplify 4 + ((sqrt(324) - ((sqrt(324) + sqrt(324)*3 - sqrt(324)) + sqrt(324)))/sqrt(9))/(sqrt(12) - 3*sqrt(108)).
3*sqrt(3)/8 + 4
Simplify 3*(2*(sqrt(80)*2 + 3 + (sqrt(80) - (sqrt(80)*-2 + -2) - sqrt(80))))**2.
1920*sqrt(5) + 15660
Simplify sqrt(78)/(sqrt(30)/sqrt(5))*-3 + (0 + sqrt(325))*2.
7*sqrt(13)
Simplify (-2 + -5*(0 + 2*(sqrt(1700) + 0)))**2 + 1.
400*sqrt(17) + 170005
Simplify (-6*(sqrt(171) + 0) + 4)**2 + ((5 + 1 + sqrt(171))*2)**2 + -1.
6999
Simplify ((sqrt(119) + sqrt(119)*1 + sqrt(119) + sqrt(119))*-5)/(sqrt(7) + sqrt(63)*-2) + 4.
4 + 4*sqrt(17)
Simplify -1*(sqrt(45)/(sqrt(99)/(sqrt(275) + sqrt(11))) - (2*sqrt(320) + 2)).
2 + 10*sqrt(5)
Simplify 5 + (sqrt(100)/sqrt(5) + (sqrt(5) + (sqrt(5) - sqrt(10)/sqrt(2)) + sqrt(5))*-1 + -1)**2.
6
Simplify sqrt(36)/(sqrt(132)/sqrt(176)) - (3*-4*(sqrt(3)*1 + sqrt(3)))**2.
-1728 + 4*sqrt(3)
Simplify (1 + sqrt(320) + 2 + -4 + -2)**2.
-48*sqrt(5) + 329
Simplify 1 + sqrt(5) + sqrt(45) + 1*(sqrt(180) - sqrt(5)) + -1 + 3.
3 + 9*sqrt(5)
Simplify (5 + 4*(sqrt(7) + (sqrt(28) - sqrt(7))) - (sqrt(140)/(sqrt(20)/sqrt(4)))/sqrt(4))**2.
70*sqrt(7) + 368
Simplify -4 + (2*(sqrt(2000) + 1) + sqrt(2000))**2.
240*sqrt(5) + 18000
Simplify (sqrt(336)/sqrt(72) + ((sqrt(42) - sqrt(168))*6 - sqrt(42)))/(4*sqrt(24)/sqrt(4) - (sqrt(6) + sqrt(36)/(sqrt(18)/sqrt(3)) + sqrt(6))).
-20*sqrt(7)/3
Simplify -1 + (sqrt(34) + sqrt(34) + (sqrt(408)*-1 + sqrt(408))/sqrt(12))/(sqrt(242)*-3).
-1 - 2*sqrt(17)/33
Simplify -4*((1*sqrt(117)*1)**2 - (2*sqrt(130)*-1)/sqrt(10)).
-468 - 8*sqrt(13)
Simplify (((sqrt(240)*-3)/sqrt(10))/(sqrt(768) + sqrt(768)*3))**2.
9/512
Simplify -2 + -6*((sqrt(245) - (sqrt(245) + sqrt(245) + sqrt(245) + 1*sqrt(245))**2*5) + 2)*2.
-84*sqrt(5) + 235174
Simplify ((sqrt(121)*4 + sqrt(121))*3)/(1*sqrt(539)).
15*sqrt(11)/7
Simplify -5*(sqrt(425) - -5*sqrt(425)*-3)*-6.
-2100*sqrt(17)
Simplify (((sqrt(70) + -2*sqrt(70) + sqrt(70))*3*-2)/(-1*sqrt(1000))*5)**2.
0
Simplify ((3*sqrt(36))/(sqrt(2) + sqrt(14)/sqrt(7)*4))**2.
162/25
Simplify -5*(-1 + -1 + sqrt(637) + sqrt(637) + 1*(-1*sqrt(117))/sqrt(9)).
-65*sqrt(13) + 10
Simplify 4*((sqrt(80) + -2 + sqrt(80))*-6 - sqrt(80))**2*4.
-19968*sqrt(5) + 218624
Simplify (((sqrt(2) - (3 + sqrt(2) + sqrt(2))) + 1 + -4 + -2*sqrt(2))*-6)**2.
1296*sqrt(2) + 1944
Simplify (3*(5 + (2*sqrt(176) - sqrt(176))*5 + -5)*3)**2.
356400
Simplify (-2 + sqrt(204)/(-3*sqrt(12)))**2 + (sqrt(187)/((sqrt(66) - -4*sqrt(66))/sqrt(6) - sqrt(11)))**2.
4*sqrt(17)/3 + 1001/144
Simplify ((6*sqrt(68)*-1)/(1*sqrt(16) - sqrt(4)))**2 + 2 + 3 + sqrt(153) + -1.
3*sqrt(17) + 616
Simplify -3 + (-3*(-3*sqrt(1377) + 0 + 1))**2 + -1.
-486*sqrt(17) + 111542
Simplify 1 + ((sqrt(684) - ((sqrt(684) + 0)**2 + 5)) + 3*sqrt(684) + -4)*6.
-4157 + 144*sqrt(19)
Simplify (5*(1*sqrt(24) + sqrt(24)))/sqrt(12) - (-6*(sqrt(10)/sqrt(5)*-3 - sqrt(2)))**2.
-1152 + 10*sqrt(2)
Simplify (sqrt(117) + (sqrt(117) - (sqrt(117)*-2)**2*-2) - (-1 + sqrt(117))*6) + sqrt(52)/sqrt(4)*-2 + ((sqrt(52)*2)/sqrt(4))**2.
-14*sqrt(13) + 994
Simplify (2*-2*sqrt(7260))/(sqrt(96)/((2*sqrt(64))/sqrt(8))).
-88*sqrt(5)
Simplify -3 + (2*sqrt(1512))/(2*sqrt(96) + sqrt(96)).
-3 + sqrt(7)
Simplify 1 + (sqrt(1617) - 5*(sqrt(1617) + sqrt(1617) + sqrt(1617)*1) - sqrt(1617))/((-1*-2*sqrt(121))/sqrt(11)).
-105*sqrt(3)/2 + 1
Simplify ((((sqrt(72)*-2)/sqrt(6))/sqrt(6) + (sqrt(16) - sqrt(16)*1)/sqrt(8) + (sqrt(8)/sqrt(4)*3 - sqrt(2)))*6*3)**2.
0
Simplify (-1*sqrt(81))/(sqrt(147) - (sqrt(147) - (sqrt(147) - sqrt(147)*3 - sqrt(147))))*-1.
-sqrt(3)/7
Simplify (5*sqrt(30)*4)/(sqrt(490) - sqrt(490)*-3).
5*sqrt(3)/7
Simplify -6*((sqrt(48) - (((sqrt(288)/sqrt(6))**2 - sqrt(48)) + -5))*1 + 5) + 4.
-48*sqrt(3) + 232
Simplify ((2*sqrt(495))/sqrt(11) - (-1*sqrt(405) + sqrt(45)))/((sqrt(45) + 4*sqrt(1620) + sqrt(45))/sqrt(5)).
2*sqrt(5)/13
Simplify (1 + -2 + 3*(2 + sqrt(1331) + sqrt(1331)))**2.
660*sqrt(11) + 47941
Simplify (-3 + 0 + 2*-2*(1 + sqrt(300))*-5)**2.
6800*sqrt(3) + 120289
Simplify (-2*-5*sqrt(20))/(sqrt(90)/(-2*sqrt(9))).
-20*sqrt(2)
Simplify 4 + ((3*(sqrt(1300) + 1) - (2 + 2 + sqrt(1300) + sqrt(1300)))*3)**2.
-180*sqrt(13) + 11713
Simplify (2 + sqrt(34)/(sqrt(8)/sqrt(100)))**2 + -3.
20*sqrt(17) + 426
Simplify (4 + 5*(sqrt(176)*1*5 + 3 + -2))**2.
1800*sqrt(11) + 110081
Simplify 3 + ((sqrt(3888) - (sqrt(3888) + (sqrt(3888) - sqrt(3888)*-2) - sqrt(3888))) + sqrt(3888) + 5 + (2 + sqrt(48)*-2)*-4)**2.
24*sqrt(3) + 60
Simplify -4 + ((sqrt(252) - 5*sqrt(252) - sqrt(252))/sqrt(9) + sqrt(28))/(sqrt(4) + sqrt(40)/(-5*sqrt(10) - sqrt(10))).
-24*sqrt(7)/5 - 4
Simplify ((-1*(sqrt(833)*1 + -3) - (4 + 2*(sqrt(833) - (sqrt(833) + sqrt(833)*2) - sqrt(833))))*-6)**2.
-2520*sqrt(17) + 749736
Simplify (sqrt(114)*2*4*-1)/(-6*3*sqrt(54)).
4*sqrt(19)/27
Simplify (3 + sqrt(153) + sqrt(153))**2*-3 - ((2*sqrt(136)/sqrt(8))**2 + -3).
-1928 - 108*sqrt(17)
Simplify (-2*(sqrt(198)/sqrt(150) + sqrt(33) - sqrt(33)))/(sqrt(110)/(sqrt(1000)*-1)).
4*sqrt(3)
Simplify (sqrt(27)/((sqrt(9) + sqrt(36)/sqrt(4))*1 - sqrt(9)) - (-3 + sqrt(3) + -1 + sqrt(27)/(sqrt(9) + sqrt(9)*2)))**2.
-8*sqrt(3)/3 + 49/3
Simplify (-2 + (-1*sqrt(2016) + sqrt(2016) - sqrt(2016))/(sqrt(8)*-2*-4 + sqrt(8)))**2.
8*sqrt(7)/3 + 64/9
Simplify 5*(((-4 + 1 + sqrt(192))*1)**2 + 5).
-240*sqrt(3) + 1030
Simplify (sqrt(1377) + -1 - sqrt(1377))**2 + 4 + (sqrt(272)*-3 - (sqrt(68) + sqrt(17) + 1)**2) + 1.
-148 - 18*sqrt(17)
Simplify (((sqrt(7) - sqrt(7)*1)**2 + sqrt(7) + -5 - (-3*sqrt(7) + -4)) + 0)*-1.
-4*sqrt(7) + 1
Simplify (((3*sqrt(192))**2 + sqrt(192))*-5 + sqrt(192)*3*2)*-3.
-24*sqrt(3) + 25920
Simplify (((sqrt(190) - -2*1*sqrt(190)) + sqrt(190))/sqrt(5))/(sqrt(6)/(sqrt(48)*-4)).
-64*sqrt(19)
Simplify ((-3*3*sqrt(1872))**2 + 3*1*sqrt(1872))*-5 + 5.
-758155 - 180*sqrt(13)
Simplify (6*(-1 + sqrt(153)) + 4*sqrt(153)*3)*6.
-36 + 324*sqrt(17)
Simplify (2*1*sqrt(144))/(-6*(sqrt(108) + sqrt(108)*2 - sqrt(108))).
-sqrt(3)/9
Simplify (sqrt(76) + 3*-3*sqrt(76))/sqrt(144).
-4*sqrt(19)/3
Simplify (5*(0 + sqrt(605) + 5))**2 - 2*((sqrt(180)/(-1*sqrt(9)))/sqrt(4))**2.
2750*sqrt(5) + 15740
Simplify ((sqrt(768)*-4 - sqrt(12))/sqrt(6) - (5 + -3*sqrt(162)))**2.
60*sqrt(2) + 97
Simplify 3*((sqrt(102)/sqrt(384))**2 - sqrt(170)/sqrt(810)) + -4.
-205/64 - sqrt(17)/3
Simplify (sqrt(20)*2*-4 + sqrt(20))/((sqrt(24) + sqrt(1944))/sqrt(6)).
-7*sqrt(5)/10
Simplify ((-4*(1 + sqrt(19)) - sqrt(19) - sqrt(475)*5) + 1)**2.
180*sqrt(19) + 17109
Simplify 4 + ((sqrt(17) + -4*sqrt(153)/sqrt(9) + sqrt(1088) + 0)*6)**2 + -3.
15301
Simplify (6*((sqrt(63) - (sqrt(63) - sqrt(63)*2))*-5)/(sqrt(81) + sqrt(81)*2)*4)**2.
44800/9
Simplify -4*-2*(-2*sqrt(1053) + -4 + 4)*4.
-576*sqrt(13)
Simplify (6*sqrt(1053)*-3*2*1)**2.
1364688
Simplify ((-3 + (5 + sqrt(405) - sqrt(45)))*-1)**2.
24*sqrt(5) + 184
Simplify (4*(sqrt(30) - (sqrt(30) - (sqrt(30) - (sqrt(30) - sqrt(210)/(1*sqrt(7))))) - sqrt(30)))/((2*sqrt(80))/sqrt(8) - -3*(sqrt(10) - sqrt(40))).
0
Simplify -2*(-6*(-3*sqrt(66) + sqrt(66)))/(sqrt(384)*-3).
sqrt(11)
Simplify (sqrt(135)/(sqrt(50)/(-3*sqrt(10))))/((sqrt(99) - (sqrt(99) - ((sqrt(99) - (sqrt(99)*3 + sqrt(99)))*-5 + sqrt(99))))/sqrt(11)).
-3*sqrt(3)/16
Simplify -4 + ((sqrt(52)*-5)**2 + sqrt(52)*5 - (2*sqrt(117) + -3)**2).
46*sqrt(13) + 819
Simplify (1*(-6*sqrt(108)/sqrt(12))/(4*(sqrt(96) + (sqrt(96)*-1 - sqrt(96)))/sqrt(8)))**2.
27/16
Simplify (-3 + sqrt(17) + 0 - sqrt(17))**2 + (sqrt(2448) + 3*sqrt(2448) + sqrt(2448))**2 + 3 + sqrt(612)*2 + 0.
12*sqrt(17) + 61212
Simplify ((sqrt(216) + sqrt(216)*-2)/sqrt(9)*4)/(6*(sqrt(128) - sqrt(128)*-1))*1.
-sqrt(3)/12
Simplify (5*(3*sqrt(242) + -4 + 5 + -4))**2 + -2.
-4950*sqrt(2) + 54673
Simplify (1*sqrt(931)*-1 + (sqrt(931) - (3*(sqrt(931) + -6*sqrt(931)) - sqrt(931))))**2.
238336
Simplify (sqrt(77) - (6*(sqrt(77) + sqrt(77) + sqrt(77)*-4 + sqrt(77) + sqrt(77)) + sqrt(77) - sqrt(77) - sqrt(77)))/(-2*sqrt(891)).
-sqrt(7)/9
Simplify (-4*sqrt(1260)*-4)/((sqrt(343) - (sqrt(343)*4 - sqrt(343)))*-4).
12*sqrt(5)/7
Simplify (1 + sqrt(704))**2 + (1*sqrt(1331))**2 + (3 + (-1 + sqrt(11) - sqrt(11)) + sqrt(11) - (sqrt(44) + -1)).
15*sqrt(11) + 2039
Simplify 1*((sqrt(1053) - -5*(-2 + sqrt(1053))) + sqrt(105
|
{
"pile_set_name": "DM Mathematics"
}
|
the prime factors of x.
2, 19
What are the prime factors of (461/2 - (-39)/(-26)) + 1?
2, 5, 23
Suppose -11*z + 9*z + 442 = 0. List the prime factors of z.
13, 17
Suppose 798 = 5*k - 57. Suppose 0 = 4*u - w - 705, -3*u - 3*w = -696 + k. Suppose -7*n = -3*n - u. List the prime factors of n.
2, 11
Let d = -5 - -11. Let i = 15 - d. Suppose -4*v = -i*v + 15. List the prime factors of v.
3
Suppose 0 = 8*m - 2430 - 578. List the prime factors of m.
2, 47
Suppose 0 = w - 2*w + 3. Suppose -5*s + 275 = w*y, -3*y - 3*s + 195 + 78 = 0. Let d = y + -46. List the prime factors of d.
2, 11
List the prime factors of 76/(1 + 3 + -2).
2, 19
List the prime factors of 3/((-15)/4) + 3063936/2370.
2, 17, 19
Let c(h) = -102*h**3 - 7*h**2 - 6*h. List the prime factors of c(-2).
2, 5
Suppose 2*z - 3*z - 16 = -5*q, 4*q = 4*z. Suppose z*f - 151 = 25. Suppose -5*t = -f - 11. What are the prime factors of t?
11
Let u(t) = 2*t + 6. Let h(p) = -p**3 - 18*p**2 - 18*p - 20. Let g be h(-17). Let b be u(g). Suppose -3*q + 48 + 42 = b. What are the prime factors of q?
2, 3, 5
Suppose 280*c - 5568 = 268*c. List the prime factors of c.
2, 29
Let y = 731 - 453. List the prime factors of y.
2, 139
Suppose -l - 2*l + 28 = 5*f, -4*f + 15 = -5*l. Suppose -f*u - n = -160, 0 = -u + 4*u - 2*n - 83. What are the prime factors of u?
31
Suppose 7*a = 9*a - 78. List the prime factors of (78/(-3))/((-2)/a*3).
13
Let k(w) = -3*w - 15. Let m be k(-16). Suppose m = a + v, a + 4*v - 26 = 19. Let p = a + 2. What are the prime factors of p?
31
Suppose 63*h - 601 = 62*h. What are the prime factors of h?
601
Let a(o) = 180*o - 29. List the prime factors of a(18).
13, 19
Let s be (-8)/48*15/(-2)*4. Suppose 280 = s*y - 60. List the prime factors of y.
2, 17
Let r = -1 + -5. Let n(t) = t**3 + 5*t**2 - 7*t - 1. Let z be n(r). Suppose 4*s + 23 = -3*a + 88, -a - z = -4*s. List the prime factors of a.
3, 5
Suppose -26*l + 21800 = -l. List the prime factors of l.
2, 109
Let n(t) = t**3 + 8*t**2 - 8*t - 2. Suppose -3*k + 8*k + 20 = 0. List the prime factors of n(k).
2, 47
Let a(m) = -2*m - 28. Let w be a(-16). Let g be 1*-2*2/(-1). Suppose 0*b + 4*b + 2*s = 38, g*s = -w. What are the prime factors of b?
2, 5
Suppose s + 4*s = 0. Suppose -2*h - 3*h = s. Suppose h*f - f = -2. What are the prime factors of f?
2
Let l = -12 + 46. Suppose 0 = 3*p + 4*t - 9*t - l, -2*t = p + 7. Suppose 5*j - 88 = 2*w, -5*j + 0*j + 68 = p*w. What are the prime factors of j?
2
Let q(p) = -99*p**3 - p**2 + p - 4. Let k(h) = -199*h**3 - 2*h**2 + h - 7. Let a(j) = 3*k(j) - 5*q(j). What are the prime factors of a(-1)?
2, 3, 17
Let f = 1373 + -525. List the prime factors of f.
2, 53
Let j(n) = -n**3 + n**2 + n + 12. Let k be j(0). Suppose 4*f - k = -2*f. Suppose f*d + 100 = 7*d. List the prime factors of d.
2, 5
Let r(t) = -t - 1. Let u be r(3). List the prime factors of (12/5)/(u + 22/5).
2, 3
Let k be 8*(1 - 3/(-4)). Let b = -6 + k. What are the prime factors of b?
2
Let c(g) = 4*g - 18*g - 61*g + 1 + 29*g. List the prime factors of c(-1).
47
Suppose 17 = -2*s + z, -s - z = -4*z + 11. Let o = 12 + s. Suppose -b + 0*b = -o*p + 76, b = -p + 19. List the prime factors of p.
19
Suppose -a - 3*a = -8. Suppose 0*l = -3*t - 5*l + 253, -99 = -t + a*l. List the prime factors of t.
7, 13
Let g be 10/(-30) - (-1)/3. Suppose g = -c + 5*t + 77, 2*c - t = -2*t + 176. List the prime factors of c.
3, 29
Let h be (-6)/12 - (-2 - (-519)/6). Let i = h - -143. What are the prime factors of i?
2, 29
Suppose -2*u + 5 = -3. Suppose 3*j + 5*x = 5*j - 146, -u*j - 2*x + 340 = 0. What are the prime factors of j?
83
Let q(i) = 21*i**3 + 13*i**2 - 23. What are the prime factors of q(5)?
2927
Let m(n) = -9*n**3 + 1. Let b = 10 + -9. Let g be m(b). What are the prime factors of (-18)/g*(-32)/(-3)?
2, 3
Let s(p) = -p**3 - 10*p**2 - 8*p + 14. Let z be s(-9). Suppose 2*i - 1070 = -z*h, 2*h - i - 63 - 365 = 0. What are the prime factors of h?
2, 107
Let n(o) = o**2 - 11*o. Let k(b) = 4*b**2 - 3*b + 2. Let s be k(2). List the prime factors of n(s).
2, 3
Let c(x) = x**3 + x**2 - x - 1. Let n(q) = 7*q**3 + 12*q**2 - 9. Let m(b) = 5*c(b) - n(b). What are the prime factors of m(-4)?
2, 5
Let i = 120 + -116. Suppose 0 = -h + 7 + 20. Suppose -i*f = -h - 61. List the prime factors of f.
2, 11
Let k(w) = 4*w + 1. Let j be k(4). Let i = j - 12. Suppose m = i - 3, -h - 5*m + 32 = 0. List the prime factors of h.
2, 11
Let y(p) = -p**2 + 8*p + 13. Let q be y(10). Let g be 6/2 + q + -4. List the prime factors of 21 + g/(2 + 0).
17
Let l be 33/(-99)*(-111)/(-2)*-2. Let a(c) = -c**2 - 3*c - 2. Let q be a(-6). Let p = q + l. List the prime factors of p.
17
Let d(u) = 64*u**2. Suppose 0 = j - q - 3, 0*j + 2*q + 7 = j. List the prime factors of d(j).
2
Let z be -4 - -8 - (4 + -3). Suppose -z*c + 60 = 15. What are the prime factors of c/(-5)*16/(-3)?
2
Suppose -3*d - 5*r = -23, -5 = r - 3. List the prime factors of d.
11
Suppose v = -4*v - 3*c, -v - 2*c - 7 = 0. List the prime factors of 514/6 - (2 + (-4)/v).
5, 17
List the prime factors of (5 + 85/(-10))*-66.
3, 7, 11
Let h = 18 - 13. Let i(m) = m**3 + 14*m**2 + 15*m - 36. Let u be i(-12). Suppose j = h*f + u, -5*j + 261 + 27 = -f. What are the prime factors of j?
3, 19
Let k(u) be the third derivative of 3*u**4/4 - 43*u**3/6 - 40*u**2. What are the prime factors of k(16)?
5, 7
Suppose 0*d = 3*x - 5*d - 32, 0 = d + 4. Suppose -x*p - 16 = -0*p. Let n(j) = j + 6. List the prime factors of n(p).
2
What are the prime factors of 8/12*60/(-8) - -1644?
11, 149
Suppose 0 = -91*q + 70*q + 44709. What are the prime factors of q?
2129
Let x be 5/(-15) + 5/(-3). Let f be -2 - (x - (-4 + 3)). What are the prime factors of (8/16)/(f/(-34))?
17
Let j = 16 - 14. Let r(z) = -j + 4*z - 15*z + 1 - 3. List the prime factors of r(-3).
29
Let c(p) = p**3 - 9*p**2 + 15*p - 1. Let v be c(7). Let f be (3/v)/(1/564). Suppose -5*u + d - 4*d + 302 = 0, 0 = -5*u + 2*d + f. List the prime factors of u.
2, 29
Suppose 3*b = -2*l - 3*l + 308, -5*l - 25 = 0. Suppose -f = 5*u - b, 44 = 3*u - 5*f - 45. Suppose 0 = -4*g + 95 - u. List the prime factors of g.
2, 3
Let b(i) = i**3 - 26*i**2 + 25*i + 5. Let d be b(25). Suppose -3*n = 5*x - 231, -d*n + 2*x = 4*x - 385. List the prime factors of n.
7, 11
What are the prime factors of (3/2 - 0)/(1194/1522748)?
1913
Suppose 5*o - 160 = -0*o. Let x = 23 - o. Let r = -3 - x. What are the prime factors of r?
2, 3
Let x = 13136 - 8773. What are the prime factors of x?
4363
Suppose 551 = c + 547. Suppose -3*f + 585 + 41 = -5*s, -415 = -2*f + s. Suppose b + f = c*b. What are the prime factors of b?
3, 23
Suppose 89 = -13*t - 899. Let v = t - -107. List the prime factors of v.
31
Let y(v) = 156*v**2 - 2*v + 1. What are the prime factors of y(2)?
3, 23
Let p(y) = 21*y + 1. Suppose 6 = 4*f - 6*f. Let k(d) = d + 4. Let l be k(f). What are the prime factors of p(l)?
2, 11
Let u be 1 - 1 - (6 + -6). Suppose -5*c + 55 = -u*c. List the prime factors of (8/(-4) - -1) + c.
2, 5
Let w(m) = 2*m**3 + m**2 - 2*m + 2. Let x be w(1). List the prime factors of 321/x*(-2)/(-2).
107
Suppose -6019 = -29*q + 8104. List the prime factors of q.
487
What are the prime factors of 4847 - (-12)/(-3)*1?
29, 167
Let a = 61 - 28. Suppose 30*s + 231 = a*s. List the prime factors of s.
7, 11
Let t(v) = -2*v**3 - 17*v**2 - 56*v - 54. List the prime factors of t(-10).
2, 13, 31
Suppose 3*j + 1787 = 3*z + 5*j, 0 = 5*z + 2*j - 2981. What are the prime factors of z?
3, 199
Suppose 3*l = -2*l. Suppose l = -m + 33 + 41. Suppose 3*j - 26 = -s, 3*s + 5*j = 5*s - m. What are the prime factors of s?
2
Suppose -5*z - 3*y + 1636 + 2457 = 0, 0 = 4*z + 5*y - 3264. List the prime factors of z.
821
Let d be (1164/8)/(7/(-14)). Let m = d - -587. What are the prime factors of m?
2, 37
Let b = -11 + 262. Suppose -3*o + b = 68. List the prime factors of o.
61
Suppose 3*c + 75 = -2*c. Let s = 28 - 25. What are the prime factors of (c*1)/s*-1?
5
Let h = 276 + -42. Suppose -4*o = -0*o + 628. Let k = h + o. What are the prime factors of k?
7, 11
Let r(f) = f - 3. Let j be r(19). Let q = 23 - j. List the prime factors of q.
7
What are the prime factors of -138*((-35)/(-14) + -7)?
3, 23
Let i(t) = t**2 - 7*t + 5. Let y be i(6). Let c(f) = -f + 0 - 3 + 2 + 32*f**2. List the prime factors of c
|
{
"pile_set_name": "DM Mathematics"
}
|
me factors of 11286?
2, 3, 11, 19
What are the prime factors of 44739?
3, 1657
What are the prime factors of 16886?
2, 8443
What are the prime factors of 555?
3, 5, 37
What are the prime factors of 23268?
2, 3, 7, 277
List the prime factors of 43926.
2, 3, 7321
What are the prime factors of 1976?
2, 13, 19
List the prime factors of 2010.
2, 3, 5, 67
What are the prime factors of 3743?
19, 197
What are the prime factors of 13625?
5, 109
List the prime factors of 2917.
2917
List the prime factors of 6082.
2, 3041
What are the prime factors of 3040?
2, 5, 19
What are the prime factors of 25555?
5, 19, 269
List the prime factors of 55556.
2, 17, 19, 43
What are the prime factors of 1884?
2, 3, 157
What are the prime factors of 48346?
2, 23, 1051
What are the prime factors of 45?
3, 5
What are the prime factors of 90906?
2, 3, 109, 139
What are the prime factors of 22614?
2, 3, 3769
What are the prime factors of 3792?
2, 3, 79
What are the prime factors of 5470?
2, 5, 547
List the prime factors of 91058.
2, 11, 4139
What are the prime factors of 541?
541
List the prime factors of 2520.
2, 3, 5, 7
What are the prime factors of 1452?
2, 3, 11
What are the prime factors of 12625?
5, 101
What are the prime factors of 3446?
2, 1723
What are the prime factors of 17191?
17191
List the prime factors of 13785.
3, 5, 919
What are the prime factors of 1408?
2, 11
What are the prime factors of 11333?
7, 1619
What are the prime factors of 42233?
157, 269
List the prime factors of 18773.
18773
What are the prime factors of 4997?
19, 263
What are the prime factors of 6671?
7, 953
List the prime factors of 1832.
2, 229
What are the prime factors of 4695?
3, 5, 313
List the prime factors of 5668.
2, 13, 109
List the prime factors of 39799.
39799
What are the prime factors of 12126?
2, 3, 43, 47
What are the prime factors of 3095?
5, 619
List the prime factors of 870.
2, 3, 5, 29
List the prime factors of 110887.
7, 31, 73
List the prime factors of 336.
2, 3, 7
What are the prime factors of 493?
17, 29
What are the prime factors of 51642?
2, 3, 19, 151
List the prime factors of 727.
727
What are the prime factors of 55?
5, 11
What are the prime factors of 17875?
5, 11, 13
What are the prime factors of 2096?
2, 131
What are the prime factors of 1700?
2, 5, 17
List the prime factors of 100.
2, 5
What are the prime factors of 19503?
3, 11, 197
List the prime factors of 6753.
3, 2251
List the prime factors of 2452.
2, 613
What are the prime factors of 8163?
3, 907
What are the prime factors of 269?
269
What are the prime factors of 32891?
31, 1061
List the prime factors of 65947.
7, 9421
What are the prime factors of 2860?
2, 5, 11, 13
What are the prime factors of 13412?
2, 7, 479
List the prime factors of 800.
2, 5
List the prime factors of 11689.
11689
What are the prime factors of 11029?
41, 269
What are the prime factors of 125?
5
List the prime factors of 3925.
5, 157
List the prime factors of 126.
2, 3, 7
What are the prime factors of 3086?
2, 1543
What are the prime factors of 774?
2, 3, 43
List the prime factors of 1935.
3, 5, 43
What are the prime factors of 2053?
2053
What are the prime factors of 46692?
2, 3, 1297
List the prime factors of 8430.
2, 3, 5, 281
What are the prime factors of 2236?
2, 13, 43
What are the prime factors of 1338?
2, 3, 223
List the prime factors of 39484.
2, 9871
What are the prime factors of 20804?
2, 7, 743
List the prime factors of 35211.
3, 11, 97
What are the prime factors of 19464?
2, 3, 811
List the prime factors of 1159.
19, 61
List the prime factors of 1945.
5, 389
List the prime factors of 5886.
2, 3, 109
List the prime factors of 314.
2, 157
What are the prime factors of 63394?
2, 29, 1093
List the prime factors of 1893.
3, 631
List the prime factors of 275.
5, 11
List the prime factors of 17549.
7, 23, 109
What are the prime factors of 11272?
2, 1409
List the prime factors of 112275.
3, 5, 499
List the prime factors of 3735.
3, 5, 83
What are the prime factors of 4178?
2, 2089
What are the prime factors of 18119?
18119
List the prime factors of 77501.
19, 4079
List the prime factors of 3219.
3, 29, 37
What are the prime factors of 4336?
2, 271
List the prime factors of 64753.
13, 17, 293
What are the prime factors of 3286?
2, 31, 53
List the prime factors of 128814.
2, 3, 7, 3067
What are the prime factors of 7515?
3, 5, 167
What are the prime factors of 828?
2, 3, 23
List the prime factors of 11539.
11, 1049
List the prime factors of 15880.
2, 5, 397
List the prime factors of 987.
3, 7, 47
What are the prime factors of 9924?
2, 3, 827
What are the prime factors of 102536?
2, 7, 1831
List the prime factors of 1146.
2, 3, 191
What are the prime factors of 102620?
2, 5, 7, 733
List the prime factors of 4948.
2, 1237
What are the prime factors of 286?
2, 11, 13
What are the prime factors of 1357?
23, 59
What are the prime factors of 7042?
2, 7, 503
List the prime factors of 10254.
2, 3, 1709
List the prime factors of 1041.
3, 347
What are the prime factors of 46291?
7, 17, 389
What are the prime factors of 2009?
7, 41
What are the prime factors of 96443?
96443
What are the prime factors of 5134?
2, 17, 151
What are the prime factors of 6723?
3, 83
List the prime factors of 65376.
2, 3, 227
What are the prime factors of 10237?
29, 353
What are the prime factors of 403?
13, 31
What are the prime factors of 752?
2, 47
List the prime factors of 3116.
2, 19, 41
What are the prime factors of 6943?
53, 131
What are the prime factors of 30184?
2, 7, 11
List the prime factors of 3719.
3719
What are the prime factors of 48586?
2, 17, 1429
List the prime factors of 167593.
167593
List the prime factors of 4732.
2, 7, 13
List the prime factors of 5407.
5407
What are the prime factors of 6094?
2, 11, 277
What are the prime factors of 5894?
2, 7, 421
List the prime factors of 3281.
17, 193
What are the prime factors of 29464?
2, 29, 127
What are the prime factors of 7949?
7949
What are the prime factors of 9518?
2, 4759
List the prime factors of 36745.
5, 7349
List the prime factors of 56291.
181, 311
What are the prime factors of 44743?
101, 443
List the prime factors of 5869.
5869
List the prime factors of 20442.
2, 3, 3407
What are the prime factors of 98613?
3, 10957
What are the prime factors of 18803?
18803
List the prime factors of 918.
2, 3, 17
What are the prime factors of 713?
23, 31
What are the prime factors of 31299?
3, 10433
What are the prime factors of 104190?
2, 3, 5, 23, 151
List the prime factors of 38136.
2, 3, 7, 227
List the prime factors of 51155.
5, 13, 787
What are the prime factors of 44?
2, 11
What are the prime factors of 769?
769
What are the prime factors of 15944?
2, 1993
List the prime factors of 465.
3, 5, 31
What are the prime factors of 11117?
11117
List the prime factors of 2674.
2, 7, 191
What are the prime factors of 13256?
2, 1657
What are the prime factors of 11452?
2, 7, 409
What are the prime factors of 29605?
5, 31, 191
What are the prime factors of 3693?
3, 1231
List the prime factors of 7942.
2, 11, 19
List the prime factors of 432.
2, 3
List the prime factors of 61275.
3, 5, 19, 43
What are the prime factors of 1188?
2, 3, 11
List the prime factors of 2376.
2, 3, 11
What are the prime factors of 11019?
3, 3673
What are the prime factors of 92?
2, 23
What are the prime factors of 4306?
2, 2153
List the prime factors of 10444.
2, 7, 373
What are the prime factors of 17683?
17683
List the prime factors of 651.
3, 7, 31
What are the prime factors of 10283?
7, 13, 113
List the prime factors of 87125.
5, 17, 41
List the prime factors of 12958.
2, 11, 19, 31
What are the prime factors of 1016?
2, 127
List the prime factors of 3206.
2, 7, 229
What are the prime factors of 17070?
2, 3, 5, 569
What are the prime factors of 655?
5, 131
List the prime factors of 2213.
2213
What are the prime factors of 15907?
15907
List the prime factors of 673.
673
What are the prime factors of 7115?
5, 1423
What are the prime factors of 4281?
3, 1427
What are the prime factors of 4076?
2, 1019
What are the prime factors of 101267?
101267
List the prime factors of 1183.
7, 13
What are the prime factors of 129?
3, 43
List the prime factors of 3098.
2, 1549
What are the prime factors of 4895?
5, 11, 89
List the prime
|
{
"pile_set_name": "DM Mathematics"
}
|
)) + 2. Let i(d) = p + 7*d + 7*d - 4*d + 4*d. Determine k*t(c) - 5*i(c).
2*c - 2
Let j(v) = -7*v**2 + 18*v + 133. Let u(o) = -6*o**2 + 15*o + 133. Give -4*j(b) + 5*u(b).
-2*b**2 + 3*b + 133
Let g(t) = t - 5. Let m(p) = -128 - 5*p + p + 148. Calculate -9*g(s) - 2*m(s).
-s + 5
Let y(n) = -3*n**3 - 46*n**2 - 5. Let k(o) = -2*o**3 - 45*o**2 - 4. Calculate 5*k(l) - 4*y(l).
2*l**3 - 41*l**2
Let p(n) = -14*n - 5. Let i(j) = 2*j + 1. Let d(l) = 2*i(l) - p(l). Let x(a) = 6*a + 2. Calculate 2*d(c) - 7*x(c).
-6*c
Let c(f) = 25*f**3 - 2*f**2 - 5*f - 3. Let v(d) = 23*d**3 - 3*d**2 - 5*d - 4. Calculate 3*c(u) - 2*v(u).
29*u**3 - 5*u - 1
Let v(w) = -w. Suppose -2*c + 5*c = 3*n + 24, 25 = -5*n. Let o(l) be the third derivative of 0*l + 0*l**3 - 13*l**2 + 1/4*l**4 + 0. Determine c*v(r) + o(r).
3*r
Let r(z) = 2*z**2 - 4*z. Let p = 2 - 6. Let w be 1/((-4)/(0 + -4)). Let m = w - p. Let j(a) = 3*a**2 - 5*a. Determine m*r(t) - 4*j(t).
-2*t**2
Let v(w) = -w**2 + 1. Let g(z) = 2*z**3 - 6*z**2 + 7. Let j be 1 + -1 + (3 - 4/2). Calculate j*g(o) - 5*v(o).
2*o**3 - o**2 + 2
Let y(z) = -12*z**3 - 21*z - 21. Let q(x) = -71*x**3 - 69*x**3 - 5*x + 0 - 5 - 67*x**3 + 204*x**3. Calculate -21*q(v) + 5*y(v).
3*v**3
Let t(a) = -22*a**2 - 12*a - 12. Let i(n) = -9*n**2 - 5*n - 5. Let v be (8/(-3))/(2/(-9)). Suppose -25*s + 37 = 162. What is s*t(b) + v*i(b)?
2*b**2
Let m(c) = -c. Let d(h) = -15*h. Suppose -15 = -82*u + 79*u. Suppose 0 = -2*k - 10, -u*f + 111 = -k + 6. Calculate f*m(q) - d(q).
-5*q
Let i(m) = 5*m**2 - 10*m + 27. Let z(k) = 3*k**2 - 6*k + 13. Give 4*i(j) - 7*z(j).
-j**2 + 2*j + 17
Let g(d) = 1 + d + 2 - 2. Let y(t) = -12*t - 2. Let s(z) = -1 - 29*z - 1 + 33*z + 3. Let i(a) = -14*s(a) - 4*y(a). What is -6*g(v) - i(v)?
2*v
Let o(q) = 6 - 6*q - 13 + 5*q**2 + 11. Let w(z) = z**2 - z + 1. What is o(n) - 4*w(n)?
n**2 - 2*n
Let o(f) = f. Let m(x) = 7*x - 4. Let s(p) = -m(p) + 6*o(p). Let u(h) = -3*h + 0*h - 7*h + 3*h + h + 27. Determine -27*s(v) + 4*u(v).
3*v
Suppose -4*g - g + 25 = -5*d, 4*g - 11 = -5*d. Let h(b) be the first derivative of -57*b**2/2 + 138. Let n(f) = 7*f. Calculate g*h(p) + 33*n(p).
3*p
Let v(g) = 5*g - 8. Let s(m) = 4*m - 7. Determine -6*s(n) + 5*v(n).
n + 2
Let z(q) = q - 1. Let g(w) = -w**2 - w + 7. Calculate g(h) + z(h).
-h**2 + 6
Let u(f) = f**2 - f - 1. Let d(i) = i**2 + 3*i - 19. Suppose 0 = 5*p - 7*p - 12. Let m be d(p). Let a(y) = 3*y**3 + 6*y**2 - 4*y - 5. What is m*a(g) + 4*u(g)?
-3*g**3 - 2*g**2 + 1
Let x(w) = 2*w + 52 + 42 + w**2 - 92. Let n(s) = -s**2. What is -3*n(g) + x(g)?
4*g**2 + 2*g + 2
Let t(u) = -2*u**3 + 100*u**2 - 10. Let q(m) = 2. Calculate 5*q(i) + t(i).
-2*i**3 + 100*i**2
Let r = -2606 + 2604. Let s(k) = 5*k**2 - 4*k + 2. Let g be -1*(-2 + 2/2). Let v(i) = g - 3*i + 3*i**2 + 0 + i**2. What is r*s(x) + 3*v(x)?
2*x**2 - x - 1
Let v(k) be the first derivative of -k**4/4 - 7*k**2/2 - 7*k + 139. Let y(p) = -p**3 - 4*p - 4. Determine 4*v(w) - 7*y(w).
3*w**3
Let z(l) = l**2 + 1 + l**2 + 5*l**3 + l**2. Let n = 4337 + -4336. Let h(c) = c**3 + c**2 + 1. What is n*z(t) - 3*h(t)?
2*t**3 - 2
Let b(h) = 56*h**2 + 42*h. Suppose 4*y + 3*p - 156 = 8*y, 0 = 4*y + 2*p + 176. Let u(s) = s**2 + s. Determine y*u(x) + b(x).
14*x**2
Let a(m) = -2*m - 3. Let g(h) = h - 4. Let o(c) = c - 2. Let v(s) = 3*g(s) - 4*o(s). Determine 2*a(k) - 3*v(k).
-k + 6
Let k = -3 - -8. Let d(c) = -c**3 + 2*c - 7. Let q(w) = -w**3 + 2*w - 8. What is k*q(y) - 6*d(y)?
y**3 - 2*y + 2
Let k(p) = 6*p. Let q = -322 - -319. Let x(i) = -6*i. Determine q*k(o) - 4*x(o).
6*o
Let q(c) = c**2 + 10*c + 6. Let s(p) = -p**2 - 11*p - 7. Suppose -20*i + 54 = -86. Determine i*q(k) + 6*s(k).
k**2 + 4*k
Let l(s) = -s + 1. Let n(c) = -5*c + 6. Let m(k) = 3 - 22 - 10 + 5*k. Let q be m(6). Determine q*n(b) - 4*l(b).
-b + 2
Let w(h) = 3*h**3 + 4*h**2 + 8*h + 99. Let q(u) = -2*u**3 - 3*u**2 - 5*u - 65. Give -8*q(v) - 5*w(v).
v**3 + 4*v**2 + 25
Let v(f) = -5*f**2 - 6*f + 4. Suppose 4*c = 4, -c + 5*c + 20 = 4*o. Let m(a) = -a**2 - a + 1. Determine o*m(w) - v(w).
-w**2 + 2
Let p(z) = 5*z**3 + 5*z**2 + 8*z - 6. Let a(s) = 1 + 2*s**3 - 13*s**2 - s**2 + 16 - 16*s**3 - 23*s. Calculate 6*a(b) + 17*p(b).
b**3 + b**2 - 2*b
Let h(n) = -7*n + 6*n + 7 - 2*n + 0. Let o(w) = -5*w + 12. Let x(u) = 11*h(u) - 6*o(u). Let l(j) = 4*j - 7. Calculate 5*l(z) + 7*x(z).
-z
Let f(n) = -4*n**2 + n + 16. Let w(j) = -14*j - 105. Let m be w(-7). Let s(u) = -3*u**2 + u + 11. What is m*s(z) + 5*f(z)?
z**2 - 2*z + 3
Let c(v) = 2*v + 2. Let d(f) = f + 3. Let k(w) = -3*c(w) + 4*d(w). Let y(m) = m**2 - 4*m - 8. Let l be y(6). Let p(u) = -3*u + 7. Calculate l*p(s) - 5*k(s).
-2*s - 2
Let z(m) = -2*m - 2. Let n(t) = 2*t + 3. Calculate 4*n(a) + 6*z(a).
-4*a
Let l(j) = -j**3 - 2*j**2 - 3*j. Let r(u) = -3*u**3 - 7*u**2 - 10*u. Let v = -312 + 310. Give v*r(s) + 7*l(s).
-s**3 - s
Let t(q) = q**2. Let h = 3 - 5. Let d = h - -7. Suppose -d*c + 3 = 2*u - 17, 4*c - 33 = -5*u. Let w(k) = k**3 + 4*k**2 - 1. Give u*t(f) - w(f).
-f**3 + f**2 + 1
Let q(y) = -3*y**2 - 4 - 3*y + 10*y**3 + 4*y**2 - 4*y**3 - 3*y**3 - 9*y**3. Let a(x) = 1 - 2 + 2 + x + x**3. Suppose -w - 5 = -1. Calculate w*a(o) - q(o).
2*o**3 - o**2 - o
Let l(o) = -4*o**3 + 6*o**2 - 6*o. Let a = 0 - 1. Suppose 8*w + 10 - 42 = 0. Let g(n) = -5*n**3 + n**2 + 5*n**3 - n**3 + 3*n - w*n. What is a*l(z) + 6*g(z)?
-2*z**3
Let q(d) = -3*d**3 - 6*d**2 + 2*d + 14. Let f(r) = -9*r**3 - 17*r**2 + 6*r + 40. What is -6*f(v) + 17*q(v)?
3*v**3 - 2*v - 2
Let x(c) = -6*c**2 - 7*c + 11. Let p(j) = -3*j**2 - 3*j + 5. Suppose -12*g = -77*g - 195. Suppose 0 = -o - o + 14. Determine g*x(k) + o*p(k).
-3*k**2 + 2
Let x(p) = -p**3 - p**2 - p + 7. Let v be x(2). Let j(z) = 10 - 4 + 9*z + 8 - 3. Let m(u) = -5*u - 6. Give v*m(c) - 4*j(c).
-c - 2
Let s(d) = -7*d**3 + 6*d**2 + 2*d + 6. Let r(v) = -932 - 932 + 1851 - 4*v - 13*v**2 + 15*v**3. Determine -6*r(c) - 13*s(c).
c**3 - 2*c
Let k(l) = 6*l**3 - 6*l**2 - 3*l. Suppose 0 = 2*a - 0*a - 4*i - 6, -3*i = -4*a - 13. Let t(c) = -11*c**3 + 11*c**2 + 5*c. What is a*k(z) - 4*t(z)?
2*z**3 - 2*z**2 + z
Let r(z) = z. Let t(p) = 2*p + 1. Let o be 3/45*3 + (-439)/(-5). Let f = o + -85. Give f*t(v) - 7*r(v).
-v + 3
Let s(c) = -c**3 + c**2 + 1. Let h(r) = 7*r**2 - 5. Let z(v) = 2*v**3 + v**2 - 1. Let d(n) = -h(n) + 6*z(n). Calculate d(q) + s(q).
11*q**3
Let h(p) = p. Let g(y) = 4*y + 18. Calculate 2*g(o) - 6*h(o).
2*o + 36
Let t(m) = -2*m + 3. Let b(d) = 5*d - 7. Let s = 784 - 788. What is s*b(q) - 9*t(q)?
-2*q + 1
Let z(u) = -8*u + 4. Let c(h) = 3*h - 1. Suppose 48*v + 2*a + 12 = 44*v, 2*a = 3*v + 2. What is v*z(r) - 7*c(r)?
-5*r - 1
Let w = 925 + -922. Let j(a) = 10*a**2 - 2. Let v(k) = 11*k**2 - 3. Calculate w*j(x) - 2*v(x).
8*x**2
Let h(d) = 7*d**3 - 4*d**2 - 6*d + 4. Let t(l) = -13*l**3 + 7*l**2 + 12*l - 7. What is -7*h(s) - 4*t(s)?
3*s**3 - 6*s
Let a(q) = 3*q**3 + 4*q**2 + 3*q - 4. Let r(g) = 2*g**3 + 3*g**2 + 3*g - 3. Calculate -4*a(j) + 5*r(j).
-2*j**3 - j**2 + 3*j + 1
Let f(i) = -2*i - 3. Let g(d) = d + 1. Suppose -3*a - 17 = p, -2*a = -0*p + 4*p + 38. Determine p*g(z) - 3*f(z).
-2*z + 1
Let d = -723 + 728. Let g(u) = 2*u**2 + 12*u - 11. Let x(r) = -r**2 - 8*r + 7. Determine d*g(f) + 8*x(f).
2*f**2 - 4*f + 1
Let a(m) = -378*m - 1. Let c(i) = 758*i + 2. Determine 7*a(d) + 3*c(d).
-372*d - 1
Let w(a) = 16*a**2 - 23*a - 50. Let z(r) = -5*r**2 + 8*r + 17. Determine -2*w(t) - 7*z(t).
3*t**2 - 10*t - 19
Let p(i) = -62*i - 22. Let l(v) = -31*v - 11. Let b(t) = 5*l(t) - 2*p(t). Let k(d) = -6*d - 2. Determine -2*b(z) + 11*k(z).
-4*z
Suppose -2*g + 33 = 5*o, 36 = 2*o + 3*o - g. Let h(u) = 3*u**3 - 3*u**2 - 7*u + 13. Let x(b) = 2*b**3 - 2*b**2 - 5*b + 9. What is o*x(i) - 5*h(i)?
-i**3 + i**2 - 2
Let s(n) = -n + 1. Let g(a) = -a + 1. Let y be (18/(-36))/(1/(-8)). Suppose y*x = -20, 2 = 2*v + 2*x + 4. Calculate v*g(h) - 3*s(h).
-h + 1
Let t = 16048 - 16046. Let u(k) = 30*k - 21. Let c(x) = -3*x + 2. Suppose d = 3*d - 42. What is d*c(n) + t*u(n)?
-3*n
Let f(h) = 3*h + 4. Let x(n) = 4*n - 2. Give -f(b) + x(b).
b - 6
Let g(t) = -125*t - 8. Let m(r) = r + 2. Determine -g(u) - 5*m(u).
120*u - 2
Let o(v) = 61*v + 17. Let u(l) = 129*l + 34. What is 13*o(z) - 6*u(z)?
19*z + 17
Let t(i) = 1. Let f(g) = 8 + 29*g - 10*g - 14*g. Calculate -f(x) + 6*t(x).
-5*x - 2
Let l(n) = -n**2 - 2*n - 1. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
4:16 PM?
6:13 PM
What is 710 minutes before 6:18 PM?
6:28 AM
How many minutes are there between 3:25 PM and 6:31 PM?
186
How many minutes are there between 4:06 AM and 11:32 AM?
446
How many minutes are there between 8:42 AM and 10:59 AM?
137
How many minutes are there between 8:58 PM and 6:44 AM?
586
How many minutes are there between 6:19 AM and 2:11 PM?
472
What is 670 minutes after 7:03 AM?
6:13 PM
How many minutes are there between 2:30 PM and 1:52 AM?
682
How many minutes are there between 6:03 PM and 5:24 AM?
681
What is 394 minutes after 5:38 AM?
12:12 PM
What is 636 minutes after 8:53 AM?
7:29 PM
How many minutes are there between 11:46 PM and 4:25 AM?
279
How many minutes are there between 12:35 AM and 10:30 AM?
595
How many minutes are there between 9:07 PM and 8:08 AM?
661
What is 496 minutes after 11:40 AM?
7:56 PM
How many minutes are there between 1:21 AM and 4:14 AM?
173
How many minutes are there between 1:54 PM and 11:46 PM?
592
How many minutes are there between 12:54 AM and 10:59 AM?
605
What is 355 minutes before 3:45 PM?
9:50 AM
What is 374 minutes after 3:03 PM?
9:17 PM
How many minutes are there between 7:56 AM and 9:46 AM?
110
What is 459 minutes before 9:34 AM?
1:55 AM
How many minutes are there between 10:34 PM and 1:27 AM?
173
What is 664 minutes after 12:06 AM?
11:10 AM
How many minutes are there between 7:14 AM and 10:57 AM?
223
What is 110 minutes after 9:25 AM?
11:15 AM
What is 517 minutes after 10:18 PM?
6:55 AM
What is 327 minutes after 4:00 PM?
9:27 PM
How many minutes are there between 12:57 AM and 2:33 AM?
96
How many minutes are there between 10:50 AM and 2:56 PM?
246
What is 387 minutes before 2:14 AM?
7:47 PM
What is 321 minutes before 9:28 AM?
4:07 AM
How many minutes are there between 12:24 AM and 7:33 AM?
429
What is 327 minutes before 12:58 AM?
7:31 PM
How many minutes are there between 3:45 PM and 8:28 PM?
283
How many minutes are there between 8:56 PM and 2:56 AM?
360
How many minutes are there between 2:46 PM and 4:27 PM?
101
How many minutes are there between 8:46 AM and 2:53 PM?
367
How many minutes are there between 4:59 PM and 11:43 PM?
404
What is 238 minutes after 7:41 PM?
11:39 PM
What is 341 minutes after 9:59 AM?
3:40 PM
What is 39 minutes before 9:30 AM?
8:51 AM
How many minutes are there between 9:08 PM and 6:27 AM?
559
How many minutes are there between 5:32 PM and 5:21 AM?
709
What is 67 minutes before 4:23 PM?
3:16 PM
What is 410 minutes after 8:18 AM?
3:08 PM
What is 270 minutes before 5:22 AM?
12:52 AM
What is 255 minutes before 5:37 PM?
1:22 PM
How many minutes are there between 11:53 PM and 5:53 AM?
360
How many minutes are there between 10:17 PM and 7:03 AM?
526
How many minutes are there between 10:08 AM and 12:55 PM?
167
How many minutes are there between 5:53 PM and 4:29 AM?
636
What is 110 minutes after 8:50 PM?
10:40 PM
What is 207 minutes after 12:04 PM?
3:31 PM
What is 223 minutes before 1:46 PM?
10:03 AM
How many minutes are there between 8:18 AM and 12:21 PM?
243
What is 111 minutes after 5:11 AM?
7:02 AM
How many minutes are there between 12:51 AM and 12:13 PM?
682
What is 568 minutes before 3:18 AM?
5:50 PM
What is 665 minutes before 2:40 AM?
3:35 PM
How many minutes are there between 6:36 PM and 5:54 AM?
678
What is 115 minutes after 1:40 AM?
3:35 AM
How many minutes are there between 1:18 AM and 10:16 AM?
538
How many minutes are there between 11:46 PM and 1:33 AM?
107
What is 610 minutes after 4:02 PM?
2:12 AM
What is 643 minutes after 4:02 AM?
2:45 PM
What is 631 minutes before 7:05 PM?
8:34 AM
What is 310 minutes after 2:02 AM?
7:12 AM
How many minutes are there between 4:01 AM and 6:33 AM?
152
What is 616 minutes after 10:47 AM?
9:03 PM
What is 289 minutes after 1:51 PM?
6:40 PM
How many minutes are there between 4:38 AM and 5:18 AM?
40
What is 144 minutes before 10:25 PM?
8:01 PM
How many minutes are there between 12:56 PM and 9:41 PM?
525
How many minutes are there between 2:47 PM and 2:07 AM?
680
What is 448 minutes before 12:28 PM?
5:00 AM
What is 137 minutes after 8:18 PM?
10:35 PM
What is 662 minutes after 5:44 AM?
4:46 PM
What is 493 minutes after 1:51 PM?
10:04 PM
How many minutes are there between 4:12 PM and 5:03 PM?
51
How many minutes are there between 9:08 AM and 2:21 PM?
313
What is 685 minutes after 8:23 PM?
7:48 AM
What is 421 minutes before 11:45 AM?
4:44 AM
How many minutes are there between 10:02 AM and 6:07 PM?
485
What is 480 minutes before 4:39 PM?
8:39 AM
What is 553 minutes after 12:21 PM?
9:34 PM
What is 130 minutes before 1:04 AM?
10:54 PM
What is 661 minutes before 8:03 PM?
9:02 AM
What is 11 minutes before 8:12 AM?
8:01 AM
What is 320 minutes before 11:03 PM?
5:43 PM
How many minutes are there between 7:09 PM and 1:55 AM?
406
What is 419 minutes after 5:52 AM?
12:51 PM
How many minutes are there between 10:21 PM and 12:43 AM?
142
What is 589 minutes before 11:36 AM?
1:47 AM
What is 91 minutes after 9:09 PM?
10:40 PM
How many minutes are there between 12:49 AM and 11:09 AM?
620
How many minutes are there between 4:23 PM and 2:19 AM?
596
How many minutes are there between 3:55 PM and 1:13 AM?
558
What is 309 minutes before 10:18 PM?
5:09 PM
What is 394 minutes before 12:38 AM?
6:04 PM
How many minutes are there between 12:58 AM and 12:17 PM?
679
What is 237 minutes after 8:30 AM?
12:27 PM
What is 266 minutes before 11:30 AM?
7:04 AM
How many minutes are there between 9:25 PM and 11:07 PM?
102
What is 406 minutes before 1:46 AM?
7:00 PM
What is 564 minutes after 7:36 AM?
5:00 PM
What is 249 minutes before 9:28 PM?
5:19 PM
How many minutes are there between 11:04 PM and 5:46 AM?
402
What is 664 minutes before 11:34 PM?
12:30 PM
How many minutes are there between 9:21 AM and 7:05 PM?
584
What is 156 minutes after 10:43 AM?
1:19 PM
How many minutes are there between 10:57 PM and 10:12 AM?
675
What is 11 minutes before 11:35 PM?
11:24 PM
What is 599 minutes after 3:28 AM?
1:27 PM
What is 446 minutes after 11:18 PM?
6:44 AM
What is 432 minutes before 7:01 AM?
11:49 PM
How many minutes are there between 10:31 PM and 10:14 AM?
703
What is 244 minutes after 11:57 AM?
4:01 PM
What is 10 minutes after 1:25 AM?
1:35 AM
What is 104 minutes after 8:47 PM?
10:31 PM
How many minutes are there between 7:04 PM and 11:14 PM?
250
What is 583 minutes after 3:52 PM?
1:35 AM
How many minutes are there between 11:25 AM and 9:43 PM?
618
How many minutes are there between 2:19 AM and 12:35 PM?
616
What is 127 minutes after 12:50 AM?
2:57 AM
What is 167 minutes after 9:47 AM?
12:34 PM
What is 304 minutes before 7:39 PM?
2:35 PM
What is 277 minutes before 4:52 AM?
12:15 AM
How many minutes are there between 8:52 PM and 11:28 PM?
156
How many minutes are there between 4:57 AM and 4:36 PM?
699
What is 321 minutes after 4:33 PM?
9:54 PM
What is 402 minutes after 6:58 PM?
1:40 AM
What is 295 minutes after 1:41 PM?
6:36 PM
How many minutes are there between 12:49 AM and 11:46 AM?
657
What is 209 minutes before 4:14 AM?
12:45 AM
How many minutes are there between 11:24 AM and 5:19 PM?
355
What is 564 minutes before 4:35 PM?
7:11 AM
What is 665 minutes before 8:36 AM?
9:31 PM
What is 310 minutes after 11:39 PM?
4:49 AM
How many minutes are there between 8:49 AM and 1:28 PM?
279
What is 386 minutes before 4:18 PM?
9:52 AM
How many minutes are there between 6:28 PM and 6:40 PM?
12
How many minutes are there between 1:10 AM and 10:09 AM?
539
What is 485 minutes after 9:02 AM?
5:07 PM
How many minutes are there between 5:08 PM and 11:02 PM?
354
How many minutes are there between 7:09 AM and 12:05 PM?
296
How many minutes are there between 4:09 AM and 8:05 AM?
236
How many minutes are there between 8:01 AM and 2:27 PM?
386
How many minutes are there between 5:52 PM and 4:15 AM?
623
How many minutes are there between 10:17 PM and 9:37 AM?
680
How many minutes are there between 8:15 AM and 11:21 AM?
186
What is 250 minutes after 4:43 AM?
8:53 AM
What is 700 minutes after 3:49 AM?
3:29 PM
What is 463 minutes before 9:22 AM?
1:39 AM
How many minutes are there between 2:03 PM and 9:50 PM?
467
What is 496 minutes after 1:23 PM?
9:39 PM
How many minutes are there between 7:46 PM and 3:24 AM?
458
What is 501 minutes before 8:24 AM?
12:03 AM
What is 49 minutes after 12:29 AM?
1:1
|
{
"pile_set_name": "DM Mathematics"
}
|
?
900
How many seconds are there in 166728.4 hours?
600222240
Convert 82.09266nm to millimeters.
0.00008209266
What is fourty-three halves of a litre in millilitres?
21500
How many centimeters are there in 84.45064 kilometers?
8445064
What is 29/5 of a litre in millilitres?
5800
Convert 99.37284ng to micrograms.
0.09937284
What is 9.48231 litres in millilitres?
9482.31
Convert 56.3015t to milligrams.
56301500000
How many millilitres are there in twenty-six fifths of a litre?
5200
What is 7/3 of a minute in seconds?
140
Convert 1.9273302 microseconds to days.
0.0000000000223070625
How many minutes are there in 3/40 of a day?
108
What is 0.4291476mm in kilometers?
0.0000004291476
How many months are there in 0.6009374 decades?
72.112488
What is 27.521421 nanoseconds in minutes?
0.00000000045869035
Convert 0.4919304us to milliseconds.
0.0004919304
What is 9.109049 nanometers in kilometers?
0.000000000009109049
How many millimeters are there in 3/40 of a kilometer?
75000
How many grams are there in three eighths of a kilogram?
375
What is thirteen eighths of a century in months?
1950
What is 27/2 of a litre in millilitres?
13500
Convert 0.5985399 nanometers to meters.
0.0000000005985399
What is thirty-two fifths of a litre in millilitres?
6400
What is 488547.9ml in litres?
488.5479
How many hours are there in 32091.345 seconds?
8.9142625
How many millilitres are there in 41.06689 litres?
41066.89
What is 3/32 of a day in minutes?
135
What is 3/25 of a litre in millilitres?
120
How many milliseconds are there in 11/2 of a second?
5500
How many centuries are there in 0.6829526 decades?
0.06829526
What is 2/15 of a millennium in months?
1600
How many litres are there in 0.8767747ml?
0.0008767747
What is 3/25 of a century in months?
144
How many millilitres are there in 18/5 of a litre?
3600
What is 0.2543324mm in kilometers?
0.0000002543324
What is thirteen quarters of a millennium in months?
39000
How many milligrams are there in 108911.1 nanograms?
0.1089111
What is 11/4 of a minute in seconds?
165
Convert 9.954846 nanometers to millimeters.
0.000009954846
What is 20/9 of a hour in seconds?
8000
How many milliseconds are there in 5.620357us?
0.005620357
How many hours are there in eleven halves of a day?
132
What is 28.23181 kilograms in nanograms?
28231810000000
How many millilitres are there in 6/5 of a litre?
1200
How many months are there in eleven eighths of a decade?
165
What is 4067.746l in millilitres?
4067746
How many millennia are there in 18812.6 centuries?
1881.26
How many centuries are there in 57970.46 decades?
5797.046
Convert 121.0492 days to milliseconds.
10458650880
What is one fifth of a minute in seconds?
12
How many millimeters are there in ninety-five halves of a centimeter?
475
How many minutes are there in fourty-five eighths of a week?
56700
Convert 525775.3 centuries to decades.
5257753
How many millilitres are there in 1/10 of a litre?
100
What is 86873.88l in millilitres?
86873880
What is 35.96312l in millilitres?
35963.12
What is 20.1310029ms in days?
0.00000023299771875
What is 68743.107ns in hours?
0.0000000190953075
How many grams are there in 2.366548ng?
0.000000002366548
What is 41/2 of a gram in milligrams?
20500
How many millimeters are there in 6/5 of a centimeter?
12
Convert 4.148324 centuries to months.
4977.9888
How many millilitres are there in seven quarters of a litre?
1750
Convert 3366.777 grams to kilograms.
3.366777
How many micrometers are there in 3/25 of a millimeter?
120
Convert 3894.492l to millilitres.
3894492
Convert 0.0592253t to kilograms.
59.2253
What is one quarter of a minute in milliseconds?
15000
What is 3/5 of a micrometer in nanometers?
600
Convert 682748.9mg to micrograms.
682748900
What is 75/4 of a litre in millilitres?
18750
How many milliseconds are there in thirty-two fifths of a second?
6400
Convert 0.1781495 meters to micrometers.
178149.5
What is twenty-one quarters of a gram in milligrams?
5250
What is 3/25 of a gram in milligrams?
120
What is 18/5 of a microgram in nanograms?
3600
How many millimeters are there in 3/5 of a meter?
600
What is 3/40 of a millennium in years?
75
What is 6/25 of a millisecond in microseconds?
240
Convert 2.887245 millilitres to litres.
0.002887245
What is 3/50 of a litre in millilitres?
60
How many millilitres are there in 31/2 of a litre?
15500
How many nanograms are there in 18/5 of a microgram?
3600
What is 148.9186mm in centimeters?
14.89186
Convert 2429715.42 milliseconds to days.
0.02812170625
What is 12/25 of a meter in centimeters?
48
Convert 31984.38 millennia to months.
383812560
How many micrometers are there in 1/10 of a meter?
100000
What is 5.918056 hours in minutes?
355.08336
What is thirty-four fifths of a meter in millimeters?
6800
What is 62068.2993 milliseconds in weeks?
0.00010262615625
What is thirty-two fifths of a centimeter in micrometers?
64000
What is 14.75202 litres in millilitres?
14752.02
What is 7/2 of a week in hours?
588
What is 69351.69 centuries in months?
83222028
What is 82580.98 centuries in years?
8258098
How many millilitres are there in 7.496434 litres?
7496.434
How many minutes are there in 25.443057 microseconds?
0.00000042405095
Convert 0.8359665ml to litres.
0.0008359665
What is seven halves of a millennium in months?
42000
How many millimeters are there in 114617.1nm?
0.1146171
What is 8350.369km in micrometers?
8350369000000
What is 39.38926m in millimeters?
39389.26
What is one twentieth of a kilometer in millimeters?
50000
Convert 0.0500554 meters to millimeters.
50.0554
Convert 186203.9um to nanometers.
186203900
How many micrometers are there in 29295.55 millimeters?
29295550
What is 5988.984 tonnes in kilograms?
5988984
What is three eighths of a century in months?
450
Convert 71.70281 centuries to months.
86043.372
How many weeks are there in 110.292147 hours?
0.656500875
How many milliseconds are there in six fifths of a minute?
72000
How many centimeters are there in 0.4207763 meters?
42.07763
Convert 15.9035ug to tonnes.
0.0000000000159035
What is 3/32 of a meter in micrometers?
93750
What is 0.4793959 kilograms in micrograms?
479395900
What is fifty-seven halves of a litre in millilitres?
28500
How many centuries are there in 1.317907 decades?
0.1317907
What is 1095.1824 months in millennia?
0.0912652
How many centuries are there in 1.7730732 months?
0.001477561
What is 45/2 of a milligram in micrograms?
22500
How many millilitres are there in 27/2 of a litre?
13500
What is 31.28921 years in millennia?
0.03128921
How many centimeters are there in twenty-five halves of a meter?
1250
How many millimeters are there in 27/5 of a meter?
5400
How many grams are there in 0.5365544t?
536554.4
How many minutes are there in 17/9 of a week?
19040
Convert 967.5421 years to centuries.
9.675421
How many tonnes are there in 273662.7 nanograms?
0.0000000002736627
What is seven thirds of a year in months?
28
What is 556377.2 days in hours?
13353052.8
What is 0.7441762 millilitres in litres?
0.0007441762
How many microseconds are there in thirty-four fifths of a millisecond?
6800
Convert 0.270898 kilograms to milligrams.
270898
What is 3/10 of a meter in millimeters?
300
How many milligrams are there in 5198.93g?
5198930
How many millennia are there in 1955.8008 months?
0.1629834
What is 37/5 of a litre in millilitres?
7400
How many minutes are there in one quarter of a hour?
15
Convert 5538.117ug to milligrams.
5.538117
Convert 88728.37l to millilitres.
88728370
How many microseconds are there in 51/2 of a millisecond?
25500
How many months are there in 3/5 of a millennium?
7200
How many years are there in 45141.64 centuries?
4514164
Convert 0.5044437 millilitres to litres.
0.0005044437
What is 1/10 of a millimeter in micrometers?
100
What is thirty-two fifths of a century in years?
640
What is three sevenths of a week in minutes?
4320
How many years are there in 13/8 of a millennium?
1625
What is 53/5 of a litre in millilitres?
10600
How many kilograms are there in 335733.4ng?
0.0000003357334
What is six fifths of a century in decades?
12
How many weeks are there in 233497.593 milliseconds?
0.0003860740625
What is 46/5 of a decade in years?
92
Convert 962.8184 hours to minutes.
57769.104
How many centuri
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose -h - 24 = -2*n + s, 5*n - 102 = -3*h. What is the units digit of n?
8
Let q = 3 - 5. Let r = q + 9. Suppose -3 = 2*d - 5*c, -3*d + r*c + 3 = 2*c. What is the units digit of d?
6
Let p be 1/(-1 + (-40)/(-44)). Let f = 8 - p. What is the tens digit of f?
1
Let l(y) = 40*y + 7. What is the tens digit of l(2)?
8
Suppose 0*d = d - 4. Let t(i) = -i - 1. Let n be t(-4). Let b = d - n. What is the units digit of b?
1
Let a = 4 - -2. Let m(x) = x**2 - 5*x - 2. Let h be m(a). Suppose t = h + 2. What is the units digit of t?
6
Let a = -2 + 0. Let o(i) = -i - 1. Let z be o(a). Let r = 5 - z. What is the units digit of r?
4
Let f = 9 + 1. What is the units digit of f?
0
Suppose 270 + 290 = 7*n. What is the units digit of n?
0
What is the units digit of 18/81 - 104/(-18)?
6
Let q be 37/((1 + 1)/(-2)). Let p = -25 - q. Suppose -h + 0*h = f - p, 3*f - 45 = -4*h. What is the units digit of h?
9
What is the units digit of 3*39*(-3)/(-9)?
9
Let b(s) be the second derivative of -1/6*s**4 - 1/3*s**3 + 1/20*s**5 + 0*s**2 + 0 - s. What is the units digit of b(3)?
3
What is the tens digit of (-1)/(3/(-245)) - (-13)/39?
8
Let a = 0 - -8. Suppose -a = 2*f - 26. Suppose -d + 2*s - 5*s - 11 = 0, 4*d + f = -5*s. What is the units digit of d?
4
Suppose -2*q + 19 = x, 5*x - 3*q + 0*q = 147. Let z = -16 + x. What is the tens digit of z?
1
Let z be (3 + -2)/((-1)/5). What is the units digit of (-9)/z*(-20)/(-6)?
6
What is the units digit of (9/(-2) - 2)*-2?
3
Let p be (-3)/(9/(-309))*1. Suppose -27 = -5*d + p. What is the units digit of d?
6
Let r(f) = f + 2. Let h be r(1). Suppose h*z = 84 + 6. What is the units digit of z?
0
Suppose 2*a - 14 - 34 = 0. What is the units digit of a?
4
Suppose -3*q = -3*b + 84, -b + 42 = -2*q + 12. What is the units digit of b?
6
Suppose 4*c + 2*t = t + 23, 0 = -5*c - t + 28. Suppose -4*k + 2*k + 2 = j, -c*k = 2*j - 3. What is the units digit of j?
4
Let l = 60 - 21. Let v(x) = -x**2 + 3*x - 5. Let k be v(6). Let n = k + l. What is the units digit of n?
6
Suppose 0 = 2*a - 4*a - 2*d + 830, 0 = -4*a - 2*d + 1650. What is the hundreds digit of a?
4
Let l be 5*(117/15 - 1). Let v(k) = -k - 3. Let d be v(-7). Suppose d*c - 6 = l. What is the tens digit of c?
1
Suppose -4*a - 2*b = -b + 2, 0 = 4*b + 8. Let q = 2 + a. What is the units digit of q?
2
Suppose -2*w = 3*j - 5*w - 24, -5*j + 4*w + 35 = 0. Let k be 39 + 0/(-3) + 1. Suppose -3*c = -6*c + 4*x + 13, -k = -5*c + j*x. What is the tens digit of c?
1
Let j be (-36)/(-21) + 4/14. Let d = j - -1. What is the units digit of d?
3
Let k(c) be the first derivative of c**4/4 + c**3 - c**2/2 - 2*c - 1. Let f(x) = 2*x + 3. Let j be f(-3). What is the units digit of k(j)?
1
Let f be ((-9)/15)/((-2)/10). What is the units digit of ((-32)/(-6))/(2/f)?
8
Let u(w) = -3*w**3 + w**2 - 2*w - 2. What is the units digit of u(-1)?
4
Let z(v) = -v**2 - 19*v - 25. What is the units digit of z(-16)?
3
Suppose 0 = -2*n + 3*n - 21. Let j = n + 1. What is the tens digit of j?
2
Let d be (5 - 1 - 3)*2. What is the units digit of d/1 - (-1 + 1)?
2
Suppose 0 = 3*v - 2*a - 5, 3*a = -4*v + 8*a + 2. Suppose -2*k + 60 = v*k. What is the units digit of k?
2
Let v(a) = -a**3 - 6*a**2 - 12*a - 18. What is the units digit of v(-9)?
3
Let g(d) = -7*d - 1. Let k = 1 + -4. What is the tens digit of g(k)?
2
Suppose -2*l - 24 = -3*l. Suppose x - 3*x = l. What is the units digit of (-123)/(-18) + (-2)/x?
7
What is the units digit of 2/1 + 12 - -2?
6
Let b be (-5)/(8/3 - 3). Suppose -3*x + 2*x = -b. What is the tens digit of x?
1
Let x(p) = 4*p**3 + 2*p**2 - p. Let b be x(1). Suppose -b*z + 5*m = -0*z - 15, 4*z = -5*m + 39. What is the units digit of z?
6
Suppose -7*h = -3*h - 108. Let o = -1 + 7. What is the units digit of 8/6*h/o?
6
Suppose 5*p - 3*c - 658 = 0, -3*p + 0*p + c + 398 = 0. What is the units digit of p?
4
Let t be (-16)/56 - 30/(-7). What is the units digit of 2/4*56/t?
7
Let y = 15 - 20. Let u(k) = -k**2 - 7*k + 4. What is the tens digit of u(y)?
1
Let g = -6 - -10. Let n(q) = 2*q**2 - 4*q - 1. Let u be n(4). Suppose z = -g*z + u. What is the units digit of z?
3
Let s = -7 - -12. Suppose h + 3*l = 7, -s*h - 22 = -3*l - l. What is the units digit of (-32)/(-18) + h/(-9)?
2
What is the units digit of (21/(-12))/1*-104?
2
What is the hundreds digit of 4 - 17/((-51)/396)?
1
Let t(j) = 16*j**2 - 7*j**2 + 19*j - 11 - 4 + 7*j**2. Let h(q) = -3*q**2 - 4*q + 3. Let x(u) = 11*h(u) + 2*t(u). What is the tens digit of x(-3)?
1
Suppose 85 - 5 = -5*k. Let p = 17 + k. What is the units digit of p?
1
What is the hundreds digit of (-4)/(-7) + 8694/49?
1
Suppose -3*l + 99 = -210. What is the tens digit of l?
0
Let m = 182 - -4. What is the hundreds digit of m?
1
Suppose 20 = 2*r - 0*r. What is the units digit of (-5)/r*2/(-1)?
1
Suppose -2*w = -j - 4, 2*j = -4*w + j + 14. Let d = w - 2. What is the units digit of d?
1
Suppose 0 = 5*k + 3 + 2. Let l(j) = 15*j**2 + 1. What is the tens digit of l(k)?
1
Let y be ((-6)/8)/((-1)/(-12)). What is the tens digit of (y/(-3))/((-2)/(-12))?
1
Let d(h) = h - 2. Let p be d(6). Suppose p*k + 2*c - 37 = -k, -15 = -2*k - c. What is the units digit of k?
7
Suppose -2 = -i - 0*i. Suppose 4*p + o = 69, 48 = i*p - 2*o + 6. What is the units digit of p?
8
Suppose -t + 69 = h + 3*h, -h - t = -21. Suppose 30 = 2*a - h. Suppose -c - 7*o + 16 = -3*o, -5*o = 2*c - a. What is the units digit of c?
4
Let s be (-4)/10 - (-166)/(-10). Let x be 1/(1/(1 + -2)). What is the units digit of x/2 + s/(-2)?
8
Let b(n) = 9*n - 3. What is the units digit of b(9)?
8
Suppose 3*u - u + 22 = 0. Let g(z) = -4*z - 9. What is the tens digit of g(u)?
3
Let i(r) = -r**3 - 15*r**2 + 16*r + 9. What is the units digit of i(-16)?
9
Suppose 0 = -5*h + 2*a - 20, -5*h - a - 2*a - 45 = 0. Let o(x) = -x**2 - 4*x + 6. Let b be o(h). Let k = b - -9. What is the units digit of k?
3
What is the hundreds digit of 20/(-50) - 1564/(-10)?
1
Let l(q) = 2*q**2 - 4. What is the units digit of l(4)?
8
Let y(f) = -f - 6. Let o = 13 + -21. What is the units digit of y(o)?
2
Let d = 2 - -3. Suppose 0 = d*v - 2*x - 129 + 21, 0 = 2*v + 4*x - 48. What is the units digit of v?
2
Suppose 75 = -6*s + 11*s. Let y = 5 - 1. Suppose 3*v - n = s, -v = -3*v + y*n. What is the units digit of v?
6
Suppose -j = 4*j - 35. Suppose -2*t + 3*t = j. What is the units digit of t?
7
Let t = 0 + -4. Let m(u) = -2*u - 2. What is the units digit of m(t)?
6
Suppose -3*a + 5 = -2*a. Suppose -i = -4*o - 3, 0*i - 15 = -a*i - o. What is the units digit of i?
3
Let p(f) = f**2 - 6*f. Let h be p(3). Let w = -8 - h. What is the units digit of w?
1
Let k = -55 + 57. What is the units digit of k?
2
What is the units digit of (-45 + (-2 - 0))*(1 - 2)?
7
Suppose 0 = 2*t - 3 - 5. What is the units digit of t?
4
Let n be 3/2 + (-388)/(-8). Let z = -30 + n. What is the tens digit of z?
2
Suppose -20 = 2*t - 6*t. What is the units digit of 791/35 + (-3)/t?
2
Let b = 15 + -10. Suppose b*j = 2*l + 53, 4*j - 28 = -0*l - 2*l. What is the units digit of j?
9
Let u = -3 + 3. Suppose j + u = 1. What is the units digit of j?
1
Suppose -5*f + 16 = -9. Suppose 3*b - 25 = u, -32 - 11 = -f*b + 3*u. What is the units digit of b?
8
Suppose x = 3*f + 1, -4*f = -2*f - 4. Let i(w) = -w + 5. Let b be i(x). What is the units digit of -3*(-1)/b*-4?
6
Let f = 23 - 18. Let b(m) be the third derivative of -m**6/120 + m**5/12 + m**4/12 + m**3/3 - m**2. What is the units digit of b(f)?
2
Suppose -15*l - 80 = -17*l. What is the units digit of l?
0
Let z(h) = -h. Let a be z(-5). Suppose -p + 10 = -a*p - 5*o, 12 = -2*p + o. Let m = 10 + p. What is the units digit of m?
5
Let c = -66 + 87. What is the units digit of c?
1
Let k be 3/(1 + (-2)/(-4)). Suppose 10 = -7*c + k*c. Let u(l) = -2*l + 2. What is the units digit of u(c)?
6
Suppose 3*w + 3 = 123. What is the units digit of 968/w + 8/10?
5
Suppose 11*c = 517 + 649. What is the tens digit of c?
0
Let p be (-2)/(-5) - 56/(-35). Let g(n) = -n + 6. Let u be g(-6). Suppose -p = 2*k - u. What is the units digit of k?
5
Suppose 5*j = 3 + 2. Suppose 0 = -3*d + j - 4. What is the units digit of 195/25 - d/5?
8
Let h be 0/(2/1 - 1). Let f = h + 2. Suppose -c + 4 - f = 0. What is the units digit of c?
2
Let y(i) = 4*i - 33. What is the units digit of y(10)?
7
Let q = 12 + -8. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
0.000011874 to 6 decimal places.
0.000012
Round -0.0000105254 to 6 decimal places.
-0.000011
What is 39.066 rounded to 1 dp?
39.1
What is 3159 rounded to the nearest one thousand?
3000
Round 0.000001187 to 7 decimal places.
0.0000012
Round 10.83 to the nearest integer.
11
Round -0.0000005475 to seven dps.
-0.0000005
Round -0.00008155 to six decimal places.
-0.000082
Round 51.32 to zero decimal places.
51
Round 0.00029735 to 5 dps.
0.0003
What is 275.01 rounded to the nearest one hundred?
300
Round 78.6 to the nearest one hundred.
100
What is -36.2 rounded to 0 dps?
-36
Round -3052 to the nearest one hundred.
-3100
Round -10774 to the nearest one thousand.
-11000
Round -0.000069227 to 6 dps.
-0.000069
Round -0.0000040124 to 6 dps.
-0.000004
Round -70039.2 to the nearest one thousand.
-70000
What is 131.3 rounded to the nearest one hundred?
100
What is -0.10794 rounded to 3 decimal places?
-0.108
What is -13.0004 rounded to 1 dp?
-13
Round 0.0000014175 to 7 decimal places.
0.0000014
Round 122.4 to 0 dps.
122
Round 21.198 to 0 decimal places.
21
What is 0.000047471 rounded to 5 dps?
0.00005
Round 5085400 to the nearest 1000000.
5000000
Round 67970 to the nearest one thousand.
68000
Round -10.407 to one dp.
-10.4
Round -465 to the nearest 100.
-500
Round -27118000 to the nearest one hundred thousand.
-27100000
Round 0.00012192 to five decimal places.
0.00012
Round 0.00148652 to 5 dps.
0.00149
What is -0.0000446159 rounded to 7 decimal places?
-0.0000446
What is 2.5931 rounded to one dp?
2.6
Round -901400 to the nearest ten thousand.
-900000
Round 0.000001099 to 7 decimal places.
0.0000011
Round -0.017742 to three dps.
-0.018
Round 226700 to the nearest ten thousand.
230000
Round -1140000 to the nearest 100000.
-1100000
What is -1899000 rounded to the nearest 1000000?
-2000000
What is -3.28 rounded to zero dps?
-3
What is -0.00096878 rounded to 4 dps?
-0.001
What is 55.14 rounded to the nearest integer?
55
What is 0.0000030044 rounded to seven dps?
0.000003
Round -0.00005153 to six decimal places.
-0.000052
Round 239200 to the nearest ten thousand.
240000
What is 94.7 rounded to the nearest 10?
90
What is 0.00007448 rounded to six decimal places?
0.000074
What is 15124000 rounded to the nearest one hundred thousand?
15100000
Round -0.0305 to 2 decimal places.
-0.03
What is 7620000 rounded to the nearest 1000000?
8000000
Round 1024340 to the nearest ten thousand.
1020000
What is 476.7 rounded to the nearest ten?
480
What is 0.0003267 rounded to five decimal places?
0.00033
Round -81150 to the nearest 1000.
-81000
What is -0.0000423 rounded to 5 decimal places?
-0.00004
What is 4023 rounded to the nearest one hundred?
4000
Round -561130 to the nearest one thousand.
-561000
What is -6111 rounded to the nearest 1000?
-6000
What is 211940 rounded to the nearest 10000?
210000
Round 0.000775 to 5 dps.
0.00078
Round 18.628 to the nearest integer.
19
Round 374.22 to zero decimal places.
374
Round -5.51 to 1 decimal place.
-5.5
Round -0.000000868 to 7 dps.
-0.0000009
What is -22890 rounded to the nearest 1000?
-23000
Round 23932 to the nearest one thousand.
24000
Round 0.04775 to three dps.
0.048
What is 0.0002517 rounded to 4 decimal places?
0.0003
Round 0.000000727 to 7 decimal places.
0.0000007
Round 0.033107 to 4 decimal places.
0.0331
What is -44.41 rounded to the nearest ten?
-40
Round 676 to the nearest one hundred.
700
Round -57.13 to the nearest 10.
-60
What is -0.0000037999 rounded to 7 dps?
-0.0000038
Round -0.00005547 to 5 dps.
-0.00006
What is 0.000000176 rounded to 6 decimal places?
0
Round -0.0373837 to two dps.
-0.04
Round 0.000803 to 4 decimal places.
0.0008
What is -114.78 rounded to 0 decimal places?
-115
What is 0.000092604 rounded to six dps?
0.000093
What is 439920000 rounded to the nearest one million?
440000000
What is 0.021691 rounded to four decimal places?
0.0217
Round -39827 to the nearest 10000.
-40000
Round -19650000 to the nearest 1000000.
-20000000
What is -6841.3 rounded to the nearest ten?
-6840
Round 0.0001765 to 5 decimal places.
0.00018
What is -802.96 rounded to the nearest one hundred?
-800
What is -113.382 rounded to the nearest 10?
-110
What is -4006.8 rounded to the nearest ten?
-4010
Round 0.051977 to 4 dps.
0.052
What is 0.004409 rounded to 3 dps?
0.004
Round -0.453 to one dp.
-0.5
Round 0.0000079 to five dps.
0.00001
What is 0.032468 rounded to four decimal places?
0.0325
Round 232400 to the nearest 10000.
230000
Round 831200 to the nearest ten thousand.
830000
Round -0.0051 to four dps.
-0.0051
Round -96340 to the nearest 10000.
-100000
What is -0.06217 rounded to three decimal places?
-0.062
What is -0.000020362 rounded to 7 decimal places?
-0.0000204
Round -0.00588 to four decimal places.
-0.0059
What is -24708000 rounded to the nearest 1000000?
-25000000
What is 0.464992 rounded to 1 dp?
0.5
What is 226740000 rounded to the nearest one million?
227000000
Round -0.111433 to 3 decimal places.
-0.111
Round -0.075878 to 4 dps.
-0.0759
Round 82900000 to the nearest one million.
83000000
What is 16.355 rounded to the nearest one hundred?
0
Round -22123000 to the nearest one hundred thousand.
-22100000
Round 179600 to the nearest 10000.
180000
Round -1846.46 to the nearest ten.
-1850
Round -61650000 to the nearest one million.
-62000000
What is 0.01328 rounded to 3 decimal places?
0.013
What is -747000 rounded to the nearest 100000?
-700000
Round -858400 to the nearest 100000.
-900000
What is -6376.67 rounded to the nearest one hundred?
-6400
Round -31660 to the nearest ten thousand.
-30000
What is -0.02329 rounded to four decimal places?
-0.0233
Round 0.3269 to one dp.
0.3
What is 742700 rounded to the nearest 10000?
740000
Round -0.0003313 to 4 dps.
-0.0003
Round 0.000065157 to seven decimal places.
0.0000652
Round 6.8861 to zero decimal places.
7
What is -200320 rounded to the nearest 1000?
-200000
What is 21.285 rounded to the nearest integer?
21
What is -142.9 rounded to the nearest 10?
-140
What is 676.3 rounded to the nearest 100?
700
What is 15610000 rounded to the nearest 1000000?
16000000
Round -0.0015308 to 5 dps.
-0.00153
What is -12151000 rounded to the nearest 1000000?
-12000000
What is 0.00000082449 rounded to 7 dps?
0.0000008
Round -3721.7 to the nearest one hundred.
-3700
What is -0.000015896 rounded to seven decimal places?
-0.0000159
What is -42650 rounded to the nearest one thousand?
-43000
What is -27772100 rounded to the nearest 1000000?
-28000000
What is -0.000006322 rounded to 6 decimal places?
-0.000006
What is -155332 rounded to the nearest 1000?
-155000
Round 51.935 to one dp.
51.9
What is 519.53 rounded to the nearest 10?
520
What is -7.72 rounded to zero decimal places?
-8
What is 12034000 rounded to the nearest 100000?
12000000
Round -0.000000616 to six dps.
-0.000001
Round -121880 to the nearest 1000.
-122000
Round 0.0049 to 4 decimal places.
0.0049
Round -0.000089 to three decimal places.
0
What is 3270840 rounded to the nearest one million?
3000000
What is 1232300 rounded to the nearest 100000?
1200000
What is 0.000006952 rounded to six dps?
0.000007
What is 0.0000491 rounded to 5 decimal places?
0.00005
What is -4689 rounded to the nearest one hundred?
-4700
Round 1967700 to the nearest ten thousand.
1970000
Round 3466200 to the nearest 100000.
3500000
What is 0.000001804 rounded to 7 dps?
0.0000018
Round 1.7184 to 1 dp.
1.7
Round 559390 to the nearest 100000.
600000
What is -9436 rounded to the nearest one thousand?
-9000
Round 19193.1 to the nearest one thousand.
19000
What is 405000 rounded to the nearest one million?
0
What is 0.0000005 rounded to 5 decimal places?
0
Round -0.000506 to 4 decimal places.
-0.0005
Round 6273130 to the nearest ten thousand.
6270000
Round 0.000031551 to six dps.
0.000032
What is 191520000 rounded to the nearest 1000000?
192000000
Round 0.0057149 to 3 dps.
0.006
Round -567220 to the nearest one hundred thousand.
-600000
What is 0.00000006946 rounded to seven dps?
0.0000001
What is 0.000002694 rounded to seven decimal places?
0.0000027
What is -0.00006688 rounded to 6 decimal places?
-0.000067
Round -365447000 to the nearest 1000000.
-365000000
What is -0.00000357 rounded to 6 dps?
-0.000004
Round -0.05163 to 3 decimal places.
-0.052
What is 9.45
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Suppose -o = -0*o. Suppose 5*n + 10 + 15 = 0. Put -3, n, o in ascending order.
n, -3, o
Let g = -9 - -4. Let a = g + 4. Let t = 39 + -38. Sort a, -5, t.
-5, a, t
Let f = -5 + 11. Suppose 0 = -3*l - f - 6. Sort 5, -2, l.
l, -2, 5
Suppose 3*u = -0*u. Let i = 0.14 + -0.16. Sort u, -1/6, i in descending order.
u, i, -1/6
Let n = -109 + 111. Let v = -4 - 0. Sort n, -0.1, v in ascending order.
v, -0.1, n
Let a(h) = h + 3. Let i be a(-4). Suppose 2*p - 2*k + 4*k + 2 = 0, 3*k = 4*p + 32. Let r be (6/(-15))/((-1)/p). Sort i, r, 5 in descending order.
5, i, r
Let b be (-21)/(-4) - 1/4. Put -3, -17, b in increasing order.
-17, -3, b
Let q(d) = -d - 14. Suppose 5*p + 0*t + 3*t - 3 = 0, 4 = -t. Let n be (-96)/9 - 1/p. Let k be q(n). Sort 0, -4, k.
-4, k, 0
Suppose -26 = -2*n + 4*a, -3*n - 2*a = -0*a + 1. Let z(f) = f - 9. Let u be z(10). Put n, u, -3 in decreasing order.
n, u, -3
Let i(p) = -p**2 - 3*p - 2. Let l be i(-3). Let t be (4/(-1))/((-2)/(-4)). Let q be 3/(1 + 14/t). Sort 0, l, q.
q, l, 0
Let n(z) = -z**3 + 5*z**2 - 5*z + 2. Let p be n(3). Sort 4, -4, p.
-4, 4, p
Let l = -21 - -23. Put -2, -10, l in ascending order.
-10, -2, l
Let n = -5 + 7. Suppose 0*c - 8 = n*c. Let r be (-4)/18 + (-2)/(-9). Put r, c, 3 in decreasing order.
3, r, c
Let c be (-5)/3 - (2 + -4). Let g = 2.94 + 0.06. Put -0.1, g, c in descending order.
g, c, -0.1
Let i = -115 + 97. Sort 2, i, 5.
i, 2, 5
Let z(v) = -v**2 - v - 3. Let o be z(0). Suppose -4*q - 6 = h + 18, 27 = -3*q - 3*h. Put o, 1, q in decreasing order.
1, o, q
Let w = 1.7 + -5.7. Let m = w + 6. Sort 0.5, m, -2/3 in ascending order.
-2/3, 0.5, m
Let y = -63/2 + 317/10. Suppose 2*a = -3*u + 35, a - 50 = -3*a - 2*u. Suppose 24*n = 29*n + a. Sort n, -2/17, y in increasing order.
n, -2/17, y
Let c = -0.44 - -0.14. Let p(q) = -5*q**2 - q + 1. Let j be p(1). Put j, -0.5, c in decreasing order.
c, -0.5, j
Let d(n) = n**2 + 13*n + 9. Let x be -4 - (7 - (-4 - -3)). Let u be d(x). Let z(k) = k**3 - 5*k**2 - k + 4. Let a be z(5). Sort a, 3, u.
u, a, 3
Suppose -8*o - 8 = -12*o. Let g be o/(-8) + 9/18. Sort 0.3, g, -1 in ascending order.
-1, g, 0.3
Let k = 0.06 + 0.14. Let r = 3.03 + -0.03. Let a = r - 2.7. Put a, k, 2/5 in decreasing order.
2/5, a, k
Let z = 44/7 - 139/21. Sort z, -11, 4, -2 in decreasing order.
4, z, -2, -11
Suppose 6 + 2 = 2*y. Put y, -2, 2 in ascending order.
-2, 2, y
Let y(l) = -l**3 - 5*l**2. Let o be y(-5). Let n = 0 + -6. Let c = -2 - n. Put o, c, -5 in ascending order.
-5, o, c
Let s(z) be the third derivative of -z**4/24 - 7*z**3/6 + 2*z**2. Let w(j) = -j**2 + 2*j - 2. Let p be w(3). Let x be s(p). Put x, 1, -5 in ascending order.
-5, x, 1
Let i be (0/2)/(-1) + 2. Let f be (-2)/(-4) - 1/i. Sort f, 4, -2 in descending order.
4, f, -2
Let r be (6/5)/(5/(-25)). Let x be 9/r + (-9)/(-6). Sort 3, x, 1 in ascending order.
x, 1, 3
Suppose 3 = -4*v + 5*i, -2*i - 4 = 2*i. Suppose -2*y + 9 = m - 0, 0 = -m - 5*y + 15. Suppose -3*t - 4 = t. Put m, v, t in increasing order.
v, t, m
Suppose -5*a - 4*q = -242 + 89, 2*a = 3*q + 75. Suppose 8 = 5*i + a. Suppose t = 4*d - 15, 0 = 3*d + 3*t - 19 - 11. Sort 3, d, i in descending order.
d, 3, i
Let i be ((-2)/4 - -1) + -1. Let d = -0.2 + -0.2. Sort i, 1, d.
i, d, 1
Suppose 4*m - m = -3*m. Sort 3, 2, -3, m in descending order.
3, 2, m, -3
Suppose 5*o - d - 7 = 0, -o + 4*o - 18 = -4*d. Suppose -4*s + o*x = 28, -s - s - 4*x = -6. Put -1, 3, s in increasing order.
s, -1, 3
Let m = -104 - -132. Sort -1, 2, m, -5 in decreasing order.
m, 2, -1, -5
Suppose p - 4*j - 17 = -0*p, -2*p + 86 = 5*j. Let o be 22/p + 5/(-12). Sort 0.1, -3, o in decreasing order.
o, 0.1, -3
Let q = 14 - 12. Sort q, 4, 9 in decreasing order.
9, 4, q
Let a(g) = 2 + 9*g - 1 - 10*g. Let t be a(1). Let f(i) = i**3 - 9*i**2 + i - 10. Let c be f(9). Put t, c, -2 in descending order.
t, c, -2
Let g = -19 - -20. Let z = -0.3 + 0.2. Let t = 0 - z. Put -0.1, t, g in descending order.
g, t, -0.1
Let s = -365 + 365. Let l be 4/(-14) + 16/7. Put l, 3, s in increasing order.
s, l, 3
Suppose -3 = 4*z + 5*d, -d - 1 = 3*z + 4*d. Put z, 1/4, -0.5 in descending order.
1/4, -0.5, z
Suppose 0 = -13*w - 47 - 5. Put w, -69, -2 in increasing order.
-69, w, -2
Let g = -29 + 28.7. Put 4, g, -2 in descending order.
4, g, -2
Let y = -54 - -59. Put -4, y, 10 in descending order.
10, y, -4
Let d be (-1)/((-22)/(-8) + -3). Sort -1, 1, -2, d in decreasing order.
d, 1, -1, -2
Let b = 8278811/886130 - -5/25318. Let f = 64/7 - b. Sort 0, f, -1/4 in decreasing order.
0, f, -1/4
Let p = 48 + -191/4. Let w = 30 + -181/6. Suppose -5*i = 3*b - 34, i = 5*b - 3*i + 5. Sort p, w, b in ascending order.
w, p, b
Let z(d) = 3*d + 2. Let g be z(6). Suppose 0*a + g = -4*a. Put 2, a, -3 in decreasing order.
2, -3, a
Let b = 4 - 2. Let p be 68/(-22) - (18 - 0)/(-6). Put b, p, -2/9 in descending order.
b, p, -2/9
Let v = -4 + 3. Let q be (2/6 + 0)/(4/6). Sort v, -0.1, q.
v, -0.1, q
Let r = 6/77 - 232/1001. Let n(y) = -26*y - 3. Let g be n(-2). Let b = g - 195/4. Sort b, -1, r.
-1, r, b
Suppose -2*x + 1 = -1, 5*q + 2*x = 27. Put -1, -5, q in descending order.
q, -1, -5
Let x(r) = r + 3. Let u be x(-5). Let s = -33 - -33.3. Put 2, u, s in descending order.
2, s, u
Suppose 18 = 3*u - 2*f, -3*f + 6*f - 3 = -3*u. Sort u, -3, -4.
-4, -3, u
Let k = -1.3 + -2.7. Sort 1, -1/4, -3/7, k in ascending order.
k, -3/7, -1/4, 1
Let u = 45 - 37. Put 4, u, 3, 2 in ascending order.
2, 3, 4, u
Let v = -1 + 1. Let u(a) = 3 + 0*a + 3*a**2 - 4*a**2 + 6*a. Let z be u(7). Sort 4, z, v.
z, v, 4
Let z be (-1)/1 + -1 + 0. Let y = 12 - 3. Let a be 6/y*(-2)/8. Put a, z, -1/4 in decreasing order.
a, -1/4, z
Let o be (-64)/(-20)*5/2. Let d = o + -12. Sort 3, 5, d.
d, 3, 5
Suppose 34 = -4*t + 4*l - 9*l, -2*t + 3*l - 28 = 0. Let b = -15 - t. Put -3, b, -5 in decreasing order.
-3, b, -5
Let b = 46 - 46. Sort -5, b, 1 in decreasing order.
1, b, -5
Let c = 7 - 5. Let v = -120 - -120.2. Put -4/7, c, v in decreasing order.
c, v, -4/7
Let t = 140 - 140. Sort 9, t, -1, -5 in descending order.
9, t, -1, -5
Let n(c) = -c**2 - 5*c + 3. Let p be n(-6). Sort 5, p, 0.
p, 0, 5
Let d(a) = -a**3 - 8*a**2 - 7*a + 4. Let i be d(-6). Let b be i/(-221) - (0 + 0). Sort -3/4, b, 5 in ascending order.
-3/4, b, 5
Let b(m) = m**3 - 8*m**2 + 6*m + 2. Let q be b(7). Sort -6, q, 1 in decreasing order.
1, q, -6
Let t = 449 - 453. Let b = 2 + 1. Sort t, b, -7 in decreasing order.
b, t, -7
Let x = -3.9 + 0.9. Put x, -4, 0.1 in increasing order.
-4, x, 0.1
Let z = 2 - -4. Suppose 2*o = -2*y + 6*o + 24, 3*y + 2*o - 68 = 0. Suppose -2*s + z*s = y. Sort -1/2, -0.2, s in increasing order.
-1/2, -0.2, s
Let j = -0.5 + 0.49. Let m = 0.41 + j. Let q = m - 0.9. Sort 1/5, 3, q in ascending order.
q, 1/5, 3
Let v(i) = -109*i + 1. Let u be v(1). Let y be u/30 - 4/10. Put -1, y, 2 in decreasing order.
2, -1, y
Let d = -9 + 5. Let p(o) = -o**2 + 7*o + 3. Let l be p(7). Suppose 0 = -6*i - 15 - l. Put -1, i, d in decreasing order.
-1, i, d
Let g be (-30)/(-10) - 0 - 4/1. Sort g, -5, 1 in decreasing order.
1, g, -5
Let u be 1*2 + (-4)/(28/(-21)). Let m be (2 - 1) + 21/(-3). Sort m, -4, u.
m, -4, u
Let v be (-2 + 2)*(-3)/3. Put 1, 3, v in decreasing order.
3, 1, v
Let i(r) = -r**3 + r**2 - r + 3. Let f be i(0). Suppose -7 = -2*a + 5*w, -26 = 5*a + f*w - w. Sort 4, -1, a.
a, -1, 4
Suppose 9 = -2*g + 1. Sort -2, 2, 4, g in decreasing order.
4, 2, -2, g
Let a = 34.95 + -35. Sort -0.4, a, 0.1 in increasing order.
-0.4, a, 0.1
Let u = 15 - 9. Suppose 3*f + u = 5*t, -8 = 6*f - 2*f - 5*t. Suppose -q - 16 = 3*q. Put 3, q, f in increasing order.
q, f, 3
Let m(z) = -z - 17. Let j be m(-13). Put 5, 1, j in decreasing order.
5, 1, j
Let c be ((-4)/(-6))/(2/(-12)). Let r = -128 + 126. Put -5, r, c in descending order.
r, c, -5
Let p = 4/21 - 6/7. Put p, 3, -2/11 in decreasing order.
3, -2/11, p
Let k be (-4)/(-3) + 8/(-6). Sort 2, 1, k.
k, 1, 2
Suppose -11*t + 108 = -2*t. Sort 1, -1, t in decreasing order.
t, 1, -1
Let d = -1.3 - -0.8. Put d, -1/3, 5, 0.3 in ascending order.
d, -1/3, 0.3, 5
Let d be (-4)/18 + 2/9. Let g = d + -4. Suppose 0 = 3*r + s - 2, -4*r - 5*s = r - 10. Put g, r, -1 in ascending order.
g, -1, r
Let q = 3 - 2.9. Let t = q - 0.1. Let g = 27 - 22. Put g, -1, t in ascending order.
-1, t, g
Let s be (-4)/(-70) - 7/35. Put 0, 35,
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of -7372702*u**3 - 7215298*u.
-44236212*u
Find the third derivative of -5303642*l**3 + 153829*l**2 - 975*l.
-31821852
What is the third derivative of 7032125*m**2*o**3 - 22*m**2*o**2 + 15950*m**2*o - 31*m*o**6 + 2*m - 6*o**2 - 1 wrt o?
42192750*m**2 - 3720*m*o**3
Find the second derivative of -4*a*r**3 + 6*a*r + 27*a - 1866*r**3 - 3313*r**2 + 48793*r wrt r.
-24*a*r - 11196*r - 6626
Find the first derivative of -14*h*u**2 - h*u - 31385998*h + 76627*u**2 wrt u.
-28*h*u - h + 153254*u
Find the third derivative of -7236794*v**3*w**3 - 100*v**3*w - 18871*v*w**2 wrt w.
-43420764*v**3
Find the third derivative of 338705969*b**2*z**4 - b**2*z**2 - 6459*b*z - 277*z**2 wrt z.
8128943256*b**2*z
Differentiate 84656341*s**3 + 99980130.
253969023*s**2
What is the second derivative of 158108408*w**2 + 396054375*w?
316216816
Find the second derivative of -22753186*a**4 + 142208916*a wrt a.
-273038232*a**2
What is the third derivative of -61407335*h**3 - 463*h**2 - 37077*h wrt h?
-368444010
Find the second derivative of 42928016*i**3 - 5492502*i wrt i.
257568096*i
What is the second derivative of -29185*f**2*i + 54*f**2 - 53707*f*i - 47 wrt f?
-58370*i + 108
Differentiate -292575732*z**3 + 273638879 wrt z.
-877727196*z**2
What is the third derivative of 230*f**4 - 843*f**3 - 1335048*f**2?
5520*f - 5058
What is the third derivative of -305208911*y**3 - 104539*y**2 + 3*y - 59?
-1831253466
Find the second derivative of -62145818*s**2 - 73884*s + 250.
-124291636
Find the third derivative of -53859583*m**6 - m**4 + 85067286*m**2 wrt m.
-6463149960*m**3 - 24*m
Find the second derivative of 352760872*z**4 - 4429476*z + 116 wrt z.
4233130464*z**2
What is the second derivative of -26155631*h**2 + 27179*h + 762?
-52311262
Find the second derivative of 101977076*y**4 + 30201792*y.
1223724912*y**2
Find the third derivative of 24946714*p**4 - 25812873*p**2 wrt p.
598721136*p
What is the first derivative of 2498712*b**2 + 17*b*g - 16822010*g wrt b?
4997424*b + 17*g
Find the second derivative of 123832382*q**4 + 169263108*q.
1485988584*q**2
Find the third derivative of 6630*c**6 - 301*c**5 + 37*c**3 - 20*c**2 - 22873*c + 60 wrt c.
795600*c**3 - 18060*c**2 + 222
What is the first derivative of -320048*j*r**2*y - 2*j*r + j + 4*r*y**2 + 119143*y**2 wrt r?
-640096*j*r*y - 2*j + 4*y**2
Find the third derivative of -421810428*u**3 - 347744734*u**2 - u.
-2530862568
What is the third derivative of 5394*j*l**4 + 342*j*l**3 + 5*j*l**2 - 624*j*l - 2*j + 10*l wrt l?
129456*j*l + 2052*j
What is the second derivative of 2*j*t**3 + 896704*j*t**2 + 10595*j*t + 48*j + 2*t wrt t?
12*j*t + 1793408*j
Find the third derivative of -901*l**6 + 3269*l**3 + 2501*l**2 - 10254*l.
-108120*l**3 + 19614
Find the second derivative of 4*a**3*n**2 - 42*a**3*n + a**2*n - 8205*a**2 + 20286852*a*n**5 + 26*n wrt n.
8*a**3 + 405737040*a*n**3
Find the second derivative of -386*k**2*n**3 - 20*k**2*n - 7073*k**2 - 338*k*n**2 + 88*n**3 wrt n.
-2316*k**2*n - 676*k + 528*n
Find the third derivative of -125701*o*q**3*x**2 + 17*o*q**3*x - 6*o*q**2*x**2 - 111*o*x - 4*q**2*x**2 + 6*q**2 - 11*q wrt q.
-754206*o*x**2 + 102*o*x
Find the second derivative of -108*b*i**3 - 118*b*i**2 - 10531*b*i - 77*b - 24*i**2 wrt i.
-648*b*i - 236*b - 48
Differentiate 27409260*i*y**2 - 13*i + 874708 wrt y.
54818520*i*y
Find the third derivative of 4528*y**4 + 1212*y**3 - 84992683*y**2.
108672*y + 7272
What is the third derivative of -9*l**3*w**3 - l**3*w + 2348*l**3 + 226243161*l**2*w**2 + w**3 wrt l?
-54*w**3 - 6*w + 14088
What is the first derivative of -56838869*w**2 + 118880378?
-113677738*w
Differentiate 5172390*q**4 - 25*q**2 + 716373346 wrt q.
20689560*q**3 - 50*q
What is the second derivative of -44029*j**2*w**2 + 2*j**2 - 51*j - 9579*w**2 wrt j?
-88058*w**2 + 4
What is the third derivative of 27148*v**6 - 3746*v**3 - 74802*v**2 + v - 63 wrt v?
3257760*v**3 - 22476
Find the second derivative of -7*a**2*m*n - 228*a**2*m - 33319*a**2*n - 163*a*m*n + a*m - 2*a*n - 6715*m*n + 94*m wrt a.
-14*m*n - 456*m - 66638*n
What is the third derivative of -20*h*q**3 + 28*h*q - 2*h - 10*q**4 - 443*q**3 - 5*q**2 + 2704*q wrt q?
-120*h - 240*q - 2658
What is the third derivative of -7768174*x**3 + 11535131*x**2 - x?
-46609044
Find the third derivative of -3874018*u**3 - 4926*u**2 + 2*u - 163.
-23244108
Find the second derivative of -167323630*g**2*m**2*s**3 - 4967*g*m**2*s - 3*g*m**2 + 20*g*m*s**3 + 6*m**2*s**3 - s**3 wrt g.
-334647260*m**2*s**3
What is the third derivative of -50424*h**6 - 81*h**4 - 8157918*h**2?
-6050880*h**3 - 1944*h
What is the first derivative of 14633003*w - 6314372?
14633003
What is the derivative of 313*b**3*f - 67926*b**3 + 608*b*f + 30*f wrt f?
313*b**3 + 608*b + 30
What is the third derivative of -65452283*z**3 + 5*z**2 - 2909*z + 6?
-392713698
What is the derivative of 65076236*p**2*s**2 - 30661555*p**2 wrt s?
130152472*p**2*s
Find the third derivative of 463352*r**6 + 3612*r**2 - 192*r wrt r.
55602240*r**3
Differentiate 12439*h**2*z - 2*h**2 - 3*h*z**2 - h*z - 5506857*z**2 wrt h.
24878*h*z - 4*h - 3*z**2 - z
Find the third derivative of -46396976*c**3*q + 66*c**2*q + 8427*c*q wrt c.
-278381856*q
What is the third derivative of 204436940*b**5 + 1402*b**2 + 687*b - 14?
12266216400*b**2
Differentiate 447*l**2*p*z + 2*l**2*p + l**2 + 2*l*p*z + 21234*p*z + 4512491*p with respect to z.
447*l**2*p + 2*l*p + 21234*p
Differentiate 44122379*u**3 + 2*u**2 + 2*u - 73361549.
132367137*u**2 + 4*u + 2
What is the first derivative of 3143566*y**3 + 4649450?
9430698*y**2
Find the third derivative of -45240545*z**3 + 356240*z**2 - 11*z + 6 wrt z.
-271443270
What is the third derivative of -777819*n**4 - n**3 - 7629618*n**2 wrt n?
-18667656*n - 6
Find the second derivative of -24152939*g**4 + 50423*g + 123.
-289835268*g**2
Find the second derivative of -546926*s**4 + 29*s**3 + 7525*s + 6137.
-6563112*s**2 + 174*s
What is the second derivative of -k**4 + 12343611*k**2 + 132903179*k - 1?
-12*k**2 + 24687222
What is the third derivative of 25432*c**2*i**3*m + 1330478*c**2*i**2*m**2 - c**2*i**2 - c**2*i*m**3 - 20341*i**3*m**3 - 23*i**2*m**3 - 2*m**3 wrt i?
152592*c**2*m - 122046*m**3
Differentiate -34336468*r**2 + 366786202 with respect to r.
-68672936*r
Find the third derivative of -15461277*s**6 - 2*s**2 - 53*s + 133003 wrt s.
-1855353240*s**3
What is the derivative of -109*i**4 - 1082*i**3 - 2*i + 5261252?
-436*i**3 - 3246*i**2 - 2
What is the second derivative of 213110585*i**4 + 87*i + 185163 wrt i?
2557327020*i**2
Differentiate 119635585*h*i - 197950979*h with respect to i.
119635585*h
What is the derivative of 23*j**2*w*x + j**2*x**2 - 3017726*j**2*x - 2*j*x**2 - 51698*w*x**2 wrt w?
23*j**2*x - 51698*x**2
Find the third derivative of 17*y**5 - 10*y**4 - 10161*y**3 - 71654*y**2 + 585 wrt y.
1020*y**2 - 240*y - 60966
What is the first derivative of 2*z**2 + 6270473*z + 8727176?
4*z + 6270473
What is the second derivative of v**4 + 12261*v**3 + 1240589*v + 2?
12*v**2 + 73566*v
Find the second derivative of -76619*a**4*g*h - 41*a**2*g**3*h - 1510*a*g**3*h - 3*a*g**3 + 4*a*g**2*h - 16*a*g - 3*g**3 + 2*g*h wrt a.
-919428*a**2*g*h - 82*g**3*h
Differentiate 638*z**2 - 199621*z + 178183833 with respect to z.
1276*z - 199621
Differentiate -7565525*w**2 - 17249807 wrt w.
-15131050*w
What is the first derivative of 33588768*a**4 + 46694629 wrt a?
134355072*a**3
Find the second derivative of -32*c*f**2*n**2 - 1055008*c*f**2*n + 3*c*f*n**2 + 8*c*f + 6*c*n**2 - 37*c*n - 3*f*n**2 - 25 wrt f.
-64*c*n**2 - 2110016*c*n
What is the first derivative of -99529944*l - 73106871 wrt l?
-99529944
What is the second derivative of -314840*t**3 - 8*t**2 - t + 2091068?
-1889040*t - 16
What is the second derivative of -3*l**5 + 74444*l**4 + 19*l**2 - 2607*l + 36556 wrt l?
-60*l**3 + 893328*l**2 + 38
Find the third derivative of 11*l**6 - 126045*l**4 - 20548392*l**2 wrt l.
1320*l**3 - 3025080*l
What is the second derivative of -14122054*h**2 - 215512*h + 50 wrt h?
-28244108
What is the second derivative of 4686*i**3 - 812*i**2 - 4953106*i wrt i?
28116*i - 1624
Find the second derivative of -198226316*h*n**4*y**3 - h*n*y**2 - 2*n*y**3 + n*y**2 - 3*n*y + 473604*n wrt n.
-2378715792*h*n**2*y**3
Find the third derivative of -3461*s**5 + s**4 + 4790*s**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of 9*q**2 - 2/3*q**3 + 0*q + 39. Let w(b) = 2*b**2. Determine x(w(m)).
-8*m**4 + 36*m**2
Let m(a) = -183*a. Let o(j) = 4760*j**2. Calculate m(o(w)).
-871080*w**2
Let n(p) = 2*p**2. Let h(q) be the second derivative of 0 - 1/3*q**3 + 0*q**2 + 16*q. Determine h(n(z)).
-4*z**2
Let c(u) = -2*u**2. Let y be (-2 - (-2 + 4)) + 4. Let d(r) = 2 + y - 2 - 2*r. Give c(d(a)).
-8*a**2
Let h(o) = 3*o**2 + o + 1. Let u(y) = 24*y**2 + 10*y + 10. Let d(x) = 10*h(x) - u(x). Let f(n) = 3*n + 2*n - 4*n. Give f(d(m)).
6*m**2
Let l(t) = -6*t + 16*t - 2*t - 4*t. Let j(k) be the first derivative of -3*k**2/2 + 3. Calculate j(l(x)).
-12*x
Let b be 192/14 + 2/7. Let o(w) = -2*w**2 + 14 - b. Let t(z) = -4*z**2. Determine o(t(v)).
-32*v**4
Let c(d) = -d. Let g(t) be the first derivative of -3*t**2 + 0*t**2 - 20 + t**2 - t**2. Give c(g(z)).
6*z
Let a = -4 + 7. Let x(f) = -3 + 0*f - 2*f + a. Let r(s) = -5*s**2. What is r(x(n))?
-20*n**2
Let t(c) = 2*c**2. Let i(g) = 77*g - 9. Let k(a) = -2*a + 3. Let m(d) = i(d) + 3*k(d). Determine t(m(r)).
10082*r**2
Let t(b) = 46*b**2. Let r(c) = c**2 + 6*c**2 - 6*c**2 - 4*c**2. Give r(t(x)).
-6348*x**4
Let v(w) = -12*w**2. Let n(h) = h - 7 + 8*h - h. Let r(f) = f - 1. Let z(g) = -3*n(g) + 21*r(g). Give z(v(p)).
36*p**2
Let m(k) = 8*k. Let z(s) = 10*s + 10*s + 5*s - 2*s + s. Give m(z(r)).
192*r
Let b(a) = -2*a**2. Let p be (-2 - (-9 - 3)) + -10. Let d(v) be the second derivative of 0 + 1/6*v**3 - 7*v + p*v**2. What is d(b(r))?
-2*r**2
Let c(b) = -4*b**2 - 11*b. Let m(w) = 92*w - 92*w - 35*w**2 + 32*w**2. Determine c(m(s)).
-36*s**4 + 33*s**2
Let b(o) = -o**2. Let z(f) = 3*f + 511. What is b(z(x))?
-9*x**2 - 3066*x - 261121
Let i(r) = -2*r**2. Let t(x) = 45*x**2 - 187*x**2 + 76*x**2 - 235*x**2. What is t(i(n))?
-1204*n**4
Let q(n) = -n. Let c(o) be the first derivative of -o**3 + 89. Give c(q(l)).
-3*l**2
Suppose -x = -4*x + 51. Let w = -15 + x. Let a(u) = -2*u**w + 0*u**2 + 5*u**2 + 4*u**2. Let h(g) = 2*g**2. Calculate h(a(f)).
98*f**4
Let x(t) = -16*t**2. Let a(p) be the second derivative of p**4/12 - 15*p**2/2 + 2*p. Let h(v) be the first derivative of a(v). Calculate x(h(d)).
-64*d**2
Let q(i) be the third derivative of i**5/20 + 17*i**2. Let n(s) = s**2 - 3*s - 3. Let a(r) = 4*r + 4. Let o(w) = 3*a(w) + 4*n(w). Calculate q(o(x)).
48*x**4
Let n(i) = -366*i. Let r(y) = -186*y. Give r(n(o)).
68076*o
Suppose -29*j + 16 = m - 25*j, 0 = 4*m - 4*j + 16. Let i(b) be the third derivative of 11*b**2 + m*b**3 + 0*b + 0 - 1/6*b**4. Let n(s) = -4*s**2. Give n(i(k)).
-64*k**2
Let f(r) = -12*r**2. Let a(b) = -11149*b. Determine f(a(u)).
-1491602412*u**2
Let y(x) be the first derivative of -8*x**3 - 6. Let m(d) = 10 - 10 - 2*d**2. Determine y(m(a)).
-96*a**4
Let g(d) = -d. Let c be 1/4 + (-14)/(-8). Let h(m) = -2*m**2 + 17*m + 57. Let q be h(11). Let l(o) = -3*o**2 - 6*o**q + 0*o**2 - c*o**2. Determine g(l(y)).
11*y**2
Suppose -b = -5*g + 16, 1 = -g - b + 3. Let l(v) be the second derivative of 0*v**g + 0 - 1/12*v**4 + 0*v**2 + 6*v. Let m(n) = n**2. Determine m(l(s)).
s**4
Let q(c) = 7*c**2. Let o(m) = -6*m - 234. Calculate q(o(f)).
252*f**2 + 19656*f + 383292
Let d(h) = -2*h + 11611 - 11611. Let y(i) be the first derivative of -i - 3 - 2*i - 4*i**3 + 3*i. Determine d(y(l)).
24*l**2
Let l(y) be the third derivative of y**5/20 + 2*y**2 - 8. Let c(r) = -21*r - 3. Give c(l(s)).
-63*s**2 - 3
Let i(x) = -x**2. Let w(u) be the third derivative of u**4/12 - 13*u**3/6 + 8*u**2. Let z be w(8). Let c(d) = -11*d + d - z*d + d. Give c(i(n)).
12*n**2
Let r(h) = -6*h - 1. Let z(i) = -5*i**2 + 33*i**2 - 12*i**2 - 18*i**2. Determine z(r(j)).
-72*j**2 - 24*j - 2
Suppose 3*d - 20 = 5*d. Let r(l) = -12*l - 10. Let m(f) = -f - 1. Let w(q) = d*m(q) + r(q). Let c(b) = -49*b. Give w(c(h)).
98*h
Suppose 5*o + 4*l = 24, -5*o + 6*l - 2*l + 56 = 0. Let b(t) = -o*t + 1 - 1. Let d(j) = -3*j + 5*j - 2*j + j. Give d(b(i)).
-8*i
Let l(s) = -2*s. Let k(n) = 3512432*n + 2. Calculate k(l(j)).
-7024864*j + 2
Let r be 7/35 - (-48)/10. Let v(j) be the first derivative of 1/2*j**2 + 0*j - r. Let x(m) = -2*m**2. What is v(x(b))?
-2*b**2
Let i(s) = -2*s + 19. Let w be i(8). Let k(v) = -7*v**2 - 3*v - 3. Let t(m) = 8*m**2 + 2*m + 2. Let q(o) = w*t(o) + 2*k(o). Let h(n) = -n**2. What is h(q(u))?
-100*u**4
Let y(n) = 7*n**2. Let a(m) = -11*m**2 + 5. Let p(h) = 6*h**2 - 3. Let x(r) = -3*a(r) - 5*p(r). Determine y(x(d)).
63*d**4
Let y be (4/(-7))/(-1) - 10/(-7). Let l(o) = o**2 + 11 - 6*o**y - 11. Let r(c) be the second derivative of -c**4/6 + c. Calculate r(l(s)).
-50*s**4
Let d(x) = -8*x**2 - 3*x**2 - 3*x + 20*x + 21 - 4. Let j(q) = -4*q**2 + 6*q + 6. Let o(p) = -6*d(p) + 17*j(p). Let z(b) = 6*b**2. Calculate z(o(s)).
24*s**4
Let s(p) = -2*p + 6. Let k(o) = -6*o + 28. Let r(j) = -3*k(j) + 14*s(j). Let z(v) = 11*v. Give r(z(i)).
-110*i
Let x(h) = -5*h. Suppose 4*v = 2*f + 301 - 297, f = -v + 4. Let r(m) be the third derivative of -1/24*m**4 + 13*m**f + 0*m + 0 + 0*m**3. Give x(r(j)).
5*j
Let v(k) = 91*k + 6. Let a(l) = -36*l. Determine v(a(h)).
-3276*h + 6
Let c(i) = i + 0*i + 0*i. Suppose 7 = -6*s - 5. Let d(a) = -10*a**2 + 2*a. Let x(v) = v**2 - v. Let t(h) = s*x(h) - d(h). Give t(c(b)).
8*b**2
Let m(t) = 309*t**2 + 305*t**2 - 635*t**2. Let z(c) = 43*c. Determine m(z(k)).
-38829*k**2
Let q(p) = 1711*p. Let f(t) = -8*t. Determine f(q(l)).
-13688*l
Let x(g) be the third derivative of g**5/12 + 52*g**2. Let p(h) = h + 8*h - 6*h. Determine p(x(z)).
15*z**2
Let a(c) be the first derivative of 124*c**3/3 - 753. Let v(b) = 5*b**2. Give a(v(o)).
3100*o**4
Let c(h) = 2*h. Let y(g) = -3*g**2 + 2*g - 74. What is y(c(r))?
-12*r**2 + 4*r - 74
Let b(s) be the third derivative of -3*s**4/2 - 13*s**2 + 3*s. Let w(t) be the first derivative of -t**3/3 - 1. What is w(b(f))?
-1296*f**2
Let k(u) = 31*u - 1 - 12*u + 1. Let l = 8 - 0. Let j(d) = -6*d**2 - 5*d**2 + 21*d**2 - l*d**2. Calculate k(j(y)).
38*y**2
Let f(h) = -3*h + 496*h**2 + 5*h - 497*h**2. Let g(o) = -o. Let c(d) = f(d) + 2*g(d). Let l(j) = -3*j. Give l(c(m)).
3*m**2
Let s be (0 - -3)*(2 + -1). Suppose 0 = -h + s*h - 4. Let d(f) = h*f + 3 - 4 + 1. Let m(n) = -3*n**2. What is d(m(o))?
-6*o**2
Let n(d) = 139*d. Let j(s) = 470*s**2 - 14. What is j(n(w))?
9080870*w**2 - 14
Let q(i) be the second derivative of i**3/2 - 116*i + 2. Let b(s) = -252*s. What is q(b(r))?
-756*r
Let u(c) be the third derivative of -7*c**4/24 - 89*c**2. Let t(g) = 4*g**2. Calculate t(u(x)).
196*x**2
Let i(p) = 2*p**2. Let h(y) = -3190*y**2. Determine i(h(t)).
20352200*t**4
Let c(k) = 10*k**2. Let a(v) be the third derivative of v**7/1260 - 3*v**4/8 - 8*v**2. Let y(j) be the second derivative of a(j). Determine y(c(i)).
200*i**4
Let h be 0/(13*(-1)/(-13)). Let s(j) be the third derivative of 4*j**2 + 0*j**3 + 1/3*j**5 + h*j**4 + 0*j + 0. Let w(k) = 2*k. Determine w(s(v)).
40*v**2
Let p(v) = 41*v**2. Let i(q) = 156*q + 2. Calculate i(p(o)).
6396*o**2 + 2
Let p(c) = -26*c**2. Let d(m) = 31103*m. Determine d(p(w)).
-808678*w**2
Let f(u) = 250539*u. Let y(j) = -2*j. Calculate f(y(m)).
-501078*m
Let g(i) = -2*i + 2*i + 2 - 29*i**2 + 87*i**2. Let j(k) = -k - 6. Let o(t) = -t - 4. Let y(f) = 2*j(f) - 3*o(f). What is g(y(p))?
58*p**2 + 2
Let h be ((15/5)/12)/((-2)/(-16)). Let g(f) = 8*f**2 + 24*f**h - 33*f**2. Let k(l) = 63*l**2. Calculate k(g(m)).
63*m**4
Let k(w) be the second derivative of -1/30*w**5 - 7/2*w**2 + 0*w**3 + 0*w**4 - 5*w + 0. Let t(b) be the first derivative of k(b). Let x(c) = 4*c. Give t(x(s)).
-32*s**2
Let q(g) = 101*g - 1. Let f(c) = 831*c**2 + 3*c - 2. Calculate q(f(u)).
83931*u**2 + 303*u - 203
Let a(j) = 2*j. Let t(v) = -2*v - 9. Let d be t(-5). Let c(b) = -154*b + 153*b - 1 + d. Calculate a(c(o)).
-2*o
Let i(b) be the first derivative of -4 + 0*b + 3/2*b**2. Let f(z) be the third derivative of z**4/4 + 27*z**2. What is i(f(o))?
18*o
Let c(h) = -40*h**2. Let q(p) = 10733*p. What is c(q(u))?
-4607891560*u**2
Let i(x) = 4*x. Let y(z) be the second derivative of -z**4/4 + 2*z + 49. Determine i(y(f)).
-12*f**2
Let s(u) = u**2. Let y(j) = 4*j - 22. Determine y(s(i)).
4*i**2 - 22
Let l(h) = -14*h. Let c(p) = 3*p - 4. Let x(v) = v - 1. Let j(z) = -c(z) + 4*x(z). Let s(b) = 10*j(b) + l(b). Let a(q) = 4*q. Calculate a(s(i)).
-16*i
Let m be (-7)/(-4) - (-11)
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{
"pile_set_name": "DM Mathematics"
}
|
rt b.
-651325*x**3
What is the first derivative of -1640*o + 8012 wrt o?
-1640
What is the third derivative of 485*a**3*l**3*q + 2*a**3 + 2*a**2*l**2 - 2*a**2*q - a*l**2*q - 678*a*q - 55*l**3 wrt l?
2910*a**3*q - 330
Differentiate 12*c*o*y + 2*c*o + 22217*c*y + 5*c - 156*o*y + 16*o + y - 1 wrt o.
12*c*y + 2*c - 156*y + 16
Find the first derivative of 1866*f*r + 15*f + 11*r*u**2 + 136*u**2 wrt r.
1866*f + 11*u**2
What is the first derivative of -125072*p**2 + 133801 wrt p?
-250144*p
Find the second derivative of -348264*a**3*u**3 + 11311*a**3 - 4*a*u**3 + 10*u wrt u.
-2089584*a**3*u - 24*a*u
Find the third derivative of -180583*a**5 + 1050310*a**2.
-10834980*a**2
Find the third derivative of -5*n*s**3 + 64*n*s - 385*n - 59*s**5 + s**2 wrt s.
-30*n - 3540*s**2
Find the second derivative of 225746*o**2 - 9256*o + 1.
451492
Find the first derivative of f*m**3 - 10*f + 25191*m**3 + 1486 wrt m.
3*f*m**2 + 75573*m**2
Find the second derivative of 55665*c*u**3 - 3*c*u + 7*c - 2*u**5 - 35837*u wrt u.
333990*c*u - 40*u**3
Find the second derivative of -513767*i**3 + 1604926*i wrt i.
-3082602*i
Differentiate -42*c**2*f - 9*c**2 + 80*c + 126*f + 6575 wrt c.
-84*c*f - 18*c + 80
What is the third derivative of 398622*t**6 + 3*t**2 + 83*t - 208?
47834640*t**3
What is the third derivative of -47675*a**3*b + 232*a**2 + 107*b - 2 wrt a?
-286050*b
Find the first derivative of -26*h**3*k**2 + 7*h**3*x - 7*k**3*x - 2080*k**3 + 531*x wrt x.
7*h**3 - 7*k**3 + 531
Find the first derivative of -900*f**3 + 15*f**2 + f - 60335.
-2700*f**2 + 30*f + 1
Find the third derivative of -467*f**4 - 29*f**3 + 2343*f**2 + 6*f.
-11208*f - 174
Differentiate 978*a**4 + 4*a**3 - 5*a - 1875212 with respect to a.
3912*a**3 + 12*a**2 - 5
Find the third derivative of -12*x**3*y**2 + 2*x**3*y + 2683*x**3 - 14*x**2 + 1914*y**2 wrt x.
-72*y**2 + 12*y + 16098
Differentiate -n*t**2 + 2*n*t - n + t**2 - 31808*t + 93856 wrt t.
-2*n*t + 2*n + 2*t - 31808
What is the third derivative of 2*d**3*s**3 + 20307*d**3*s*u + 56*d**2*s**3 + 30*d**2*s**2 + 2*d**2*s*u - 2*d**2 - 2*s**2*u wrt d?
12*s**3 + 121842*s*u
What is the second derivative of -7*g**3*j - 122974*g**3 - 12*g*j - 846*g + 2*j - 13 wrt g?
-42*g*j - 737844*g
What is the second derivative of 16*b**2*m*z**2 + 2*b**2*m*z + 91731*b**2*m - 61*b*m*z**2 + b - 47*z**2 wrt z?
32*b**2*m - 122*b*m - 94
Find the third derivative of 51212*y**4 - 46913*y**2.
1229088*y
Find the second derivative of 295*f**5*t - 118*f**4*t + 457*f*t + 37*t - 1 wrt f.
5900*f**3*t - 1416*f**2*t
What is the second derivative of -59*h**5 - 27*h**4 - 4340*h + 2?
-1180*h**3 - 324*h**2
Find the second derivative of -215*o**4 + 4632*o**2 + 2328*o + 11.
-2580*o**2 + 9264
Differentiate 165*s**2 - 79*s*y + 901884*y with respect to s.
330*s - 79*y
Differentiate -z**4 + 370*z**3 + 20*z**2 - z + 685103 wrt z.
-4*z**3 + 1110*z**2 + 40*z - 1
Differentiate 41901*m**3 - m**2 - 5*m + 132535 with respect to m.
125703*m**2 - 2*m - 5
What is the first derivative of 2*h*z**2 - 28081*h - 127*z**4 + 2*z**2 wrt z?
4*h*z - 508*z**3 + 4*z
Find the third derivative of -3*d*o*w**3 - 2*d*o*w**2 - 107*d*o - 2*d*w**3 - 2*d*w**2 + 33*d*w - 139*o*w**3 + 6*o*w**2 + 65*w**3 wrt w.
-18*d*o - 12*d - 834*o + 390
Find the third derivative of 6893*v**6 - 4*v**4 + v**2 + 24*v wrt v.
827160*v**3 - 96*v
What is the first derivative of 14*d*g*y**3 + 7401*d*g*y**2 + 4116*d*y**3 + 3*d*y + 30*y**3 - y wrt g?
14*d*y**3 + 7401*d*y**2
What is the second derivative of -187486*z**3 - 2*z - 27189 wrt z?
-1124916*z
Find the second derivative of 3520516*o**2*v - 92*o*v - 15*o + 536*v wrt o.
7041032*v
What is the third derivative of -2128*n**3*u**2 - 174*n**3*u - 2*n**3 - 1416*n**2*u**2 + 4*n**2*u - u**2 - u - 20 wrt n?
-12768*u**2 - 1044*u - 12
Find the third derivative of r**6 + 377303*r**5 - 61*r**2 + 2473 wrt r.
120*r**3 + 22638180*r**2
Find the first derivative of -583359*j*w**2 - 83941*w**2 + 1 wrt j.
-583359*w**2
What is the third derivative of 23*y**6 + 9*y**5 + 4*y**4 + 36713*y**2?
2760*y**3 + 540*y**2 + 96*y
Find the third derivative of 32955*o**3*q + o**3 - 301653*o**2 - q wrt o.
197730*q + 6
What is the third derivative of 500*p**3*s**3 + 8*p**3*s - 3*p**2*s - 38*p**2 + 4*p*s + s**3 wrt p?
3000*s**3 + 48*s
Find the third derivative of 1641828*b**3 - 504964*b**2.
9850968
What is the third derivative of -7222*x**3 + 90984*x**2?
-43332
What is the second derivative of -256155*h**2 + 26738*h?
-512310
Find the third derivative of -17799*z**3 - 14936*z**2 - 1 wrt z.
-106794
What is the third derivative of -106347*x**4 + 346*x**2 - 2*x?
-2552328*x
Find the first derivative of -6*g*k**3 - 747*g*k - 193584*g - 19*k**4 wrt k.
-18*g*k**2 - 747*g - 76*k**3
Differentiate -5*z**3 - 2*z**2 - 3289*z - 28598 with respect to z.
-15*z**2 - 4*z - 3289
What is the derivative of -118*u**3*w + 2*u**3 - 449*u**2*w + 2771*u**2 + 3 wrt w?
-118*u**3 - 449*u**2
Differentiate -222*j*k*r*t + j*k*t**2 + 2*k*r - 961*r*t**2 with respect to j.
-222*k*r*t + k*t**2
Find the third derivative of -986093*c**3 + 162535*c**2 - c + 1 wrt c.
-5916558
What is the second derivative of 7342*a*b**3*i - 2*a*b**3 + 2*a*b*i + a*b + 3*a*i + 3*b**3 + 5*b + 206*i wrt b?
44052*a*b*i - 12*a*b + 18*b
What is the second derivative of -420574*r**2 - 30913*r + 6 wrt r?
-841148
Find the third derivative of 396496*j**3 - 322600*j**2.
2378976
What is the third derivative of -123466*c*v**6 + 8*c*v**2 - 1990*c - 3*v**2 + 5*v wrt v?
-14815920*c*v**3
Differentiate -205477*w - 101886 with respect to w.
-205477
Find the third derivative of 455367*a**3*m - 8*a**2*m - 713*a**2 - 38*m wrt a.
2732202*m
Differentiate 11*l**2*o**2 - 1572*l**2 + 30711*o**2 + 2*o with respect to l.
22*l*o**2 - 3144*l
Find the second derivative of 24691*t**5 + 2*t**4 - 131158*t.
493820*t**3 + 24*t**2
What is the derivative of -62*r**2 + 496*r - 113426 wrt r?
-124*r + 496
Find the first derivative of 19766*d + 76555 wrt d.
19766
What is the derivative of 245647*o**2 + 598401?
491294*o
What is the derivative of 96*m**2 + 2433*m + 316036?
192*m + 2433
What is the third derivative of -54162*o**4 + 2*o**3 + 39*o**2 - 907*o wrt o?
-1299888*o + 12
Differentiate g**3*q**3 + 316*g**3 - 2532*g**2*q**3 - 24 with respect to q.
3*g**3*q**2 - 7596*g**2*q**2
What is the second derivative of -39*b**5 - 27*b**4 - b**3 + 15*b - 1404?
-780*b**3 - 324*b**2 - 6*b
Differentiate -30224*d**4 - 6646.
-120896*d**3
What is the second derivative of -27*x**3*y - 3*x**2*y**3 + 267*x**2*y**2 + 941*x*y**3 - x - 46*y**2 wrt x?
-162*x*y - 6*y**3 + 534*y**2
Find the second derivative of -3408068*y**2 + 1846704*y.
-6816136
What is the derivative of 1811*b**4 - 4*b**3 - 3*b**2 + b - 2416058 wrt b?
7244*b**3 - 12*b**2 - 6*b + 1
Find the second derivative of 10*d**3*u**4 - d**3*u - 327*d**3 + 2*d**2*u + 850*u**4 - 7*u wrt u.
120*d**3*u**2 + 10200*u**2
Find the third derivative of 21*v**6 + 260*v**3 + v**2 - 31*v - 1.
2520*v**3 + 1560
What is the third derivative of -41*m**3*t**2*v**3 - 16*m**3*t**2 + 21450*m**3*v**3 + m**3*v**2 + 2*m*t*v**2 - m*t*v + 4*t**2 wrt v?
-246*m**3*t**2 + 128700*m**3
Differentiate -g**2*l - 2*g**2 - g*l**2 - 113*g + 456*l**2 - 5 with respect to l.
-g**2 - 2*g*l + 912*l
Differentiate 107946*p + 4707 with respect to p.
107946
What is the second derivative of 2232*c*f**3 + c*f**2 - c*f + 507709*c + 3*f**3 - f**2 wrt f?
13392*c*f + 2*c + 18*f - 2
Find the third derivative of -11*c**2*z**6 - 5*c**2*z**2 - 84*i*z**6 + 2*i*z**2 - i - 119*z**2 wrt z.
-1320*c**2*z**3 - 10080*i*z**3
What is the third derivative of -8*p**4 + 2815*p**3 + p**2 - 9*p + 35844 wrt p?
-192*p + 16890
Find the second derivative of 16482*i**2 - 80*i - 503 wrt i.
32964
What is the second derivative of -13207*c**2*m**2 - 3*c**2*m + 323*c**2 + c*m**2 + 4*c*m wrt m?
-26414*c**2 + 2*c
Find the first derivative of j*q - 12258*j + 14534*q + 1 wrt j.
q - 12258
What is the third derivative of -708414*a**3 + 14*a**2 + 189*a - 93?
-4250484
What is the first derivative of 641*k**3*l**2 + 10139*k**3 + 5*k*l**2 wrt l?
1282*k**3*l + 10*k*l
What is the second derivative of 6*d**2*u**2 - 28*d**2*u - d**2 - 1379*d*u**4 - 3*u - 2 wrt u?
12*d**2 - 16548*d*u**2
What is the second derivative of -97*b**3 + 67*b**2 - 8602*b?
-582*b + 134
Differentiate 1372155*j**3 - 644532.
41164
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Is 25 a factor of 4368772?
False
Does 519 divide 792147624?
True
Does 10 divide 46482060?
True
Is 995 a factor of 131391740?
True
Is 323 a factor of 50045297?
True
Is 3535 a factor of 732947382?
False
Is 633 a factor of 2338417405?
False
Does 154 divide 337374422?
True
Is 88065209 a multiple of 15?
False
Does 83 divide 147999956?
True
Is 15 a factor of 37241580?
True
Does 23 divide 86144614?
True
Is 30151385 a multiple of 43?
True
Is 5 a factor of 235958240?
True
Does 57 divide 38023800?
False
Is 149746476 a multiple of 4?
True
Is 2205348658 a multiple of 446?
False
Is 99 a factor of 190395513?
True
Does 88 divide 21073487?
False
Is 22 a factor of 3333395?
False
Does 4 divide 189590443?
False
Is 6856389375 a multiple of 121?
True
Does 1561 divide 34727567?
True
Does 11128 divide 202916096?
False
Is 28488177 a multiple of 1179?
True
Is 120 a factor of 24188040?
True
Does 392 divide 48627600?
True
Is 159 a factor of 2376704652?
True
Does 90 divide 10860534?
False
Is 148317 a multiple of 39?
True
Is 315 a factor of 30860899?
False
Does 4324 divide 865370829?
False
Does 399 divide 63925386?
True
Is 20328245 a multiple of 8?
False
Is 16 a factor of 440378382?
False
Is 576770080 a multiple of 437?
True
Does 34 divide 167387795?
False
Does 2139 divide 213326748?
True
Is 621588271 a multiple of 95?
False
Is 2570 a factor of 145410600?
True
Does 17 divide 13893007?
False
Is 43 a factor of 55765351?
False
Is 671622098 a multiple of 7?
True
Does 143 divide 15697570?
False
Is 65029500 a multiple of 100?
True
Is 85446387 a multiple of 9?
True
Is 10 a factor of 1092168120?
True
Does 203 divide 11185503?
True
Is 162873653 a multiple of 80?
False
Is 956 a factor of 5364815792?
True
Does 2000 divide 1854062386?
False
Is 369421294 a multiple of 38?
True
Is 6506940 a multiple of 22?
True
Does 208 divide 2100670804?
False
Does 2894 divide 1755335442?
True
Is 11422601 a multiple of 707?
False
Is 1288290860 a multiple of 146?
True
Is 150650183 a multiple of 155?
False
Does 195 divide 39726983?
False
Does 121 divide 6290548?
True
Is 275426850 a multiple of 2850?
True
Is 5994020524 a multiple of 29?
False
Is 16 a factor of 753635407?
False
Is 9 a factor of 686943170?
False
Is 6219176 a multiple of 808?
True
Is 11 a factor of 74562212?
False
Is 310 a factor of 1510543820?
True
Is 294259684 a multiple of 4?
True
Is 48542160 a multiple of 30?
True
Does 93 divide 62459927?
False
Is 8 a factor of 227438048?
True
Is 9377819 a multiple of 2?
False
Does 66 divide 66186450?
True
Is 233582054 a multiple of 77?
False
Is 2549383452 a multiple of 126?
True
Is 75 a factor of 30266400?
True
Is 12359510 a multiple of 5?
True
Is 32735162 a multiple of 358?
True
Is 2200165 a multiple of 3?
False
Is 83 a factor of 4564751?
True
Does 9 divide 329858163?
True
Does 5 divide 47766345?
True
Is 114853339 a multiple of 25?
False
Is 95694727 a multiple of 499?
True
Is 11410812 a multiple of 449?
False
Does 871 divide 288834099?
False
Is 2643498 a multiple of 858?
True
Is 344 a factor of 351175840?
True
Is 185 a factor of 590606950?
True
Does 2 divide 37297118?
True
Does 10 divide 27529050?
True
Is 98 a factor of 110614047?
False
Is 254818200 a multiple of 2366?
True
Is 417158646 a multiple of 323?
False
Is 2488745 a multiple of 26?
False
Is 1081 a factor of 2558548635?
True
Is 25841628 a multiple of 1226?
True
Is 22 a factor of 492894182?
True
Does 1357 divide 159032458?
False
Is 1172 a factor of 16320728?
False
Does 35 divide 946293215?
True
Does 232 divide 16123821?
False
Is 490 a factor of 1084852160?
True
Is 226070360 a multiple of 901?
False
Does 52 divide 23040212?
True
Is 124 a factor of 68440505?
False
Is 551 a factor of 302742839?
False
Is 1526017158 a multiple of 3141?
True
Does 31 divide 822864?
True
Is 5319583 a multiple of 748?
False
Is 870905010 a multiple of 310?
True
Is 1531762350 a multiple of 25?
True
Does 184 divide 14367456?
True
Does 2241 divide 5543073289?
False
Is 4977613 a multiple of 19?
False
Does 3160 divide 701908680?
True
Does 348 divide 100291146?
False
Is 1224670655 a multiple of 2015?
True
Is 144510741 a multiple of 31?
False
Does 956 divide 1367950815?
False
Does 6 divide 35424726?
True
Does 9 divide 1277521668?
True
Does 13 divide 4129085347?
False
Is 117894731 a multiple of 17?
False
Is 2230131164 a multiple of 823?
False
Does 24 divide 998591352?
True
Is 3751 a factor of 187693154?
False
Is 17 a factor of 116784866?
True
Is 16 a factor of 59781408?
True
Does 64 divide 158392960?
True
Does 56 divide 906837736?
True
Does 151 divide 139166281?
True
Is 553201185 a multiple of 485?
True
Is 292 a factor of 21237859?
False
Does 2069 divide 1818651?
True
Is 8408870 a multiple of 31?
False
Is 127 a factor of 571977647?
True
Is 19 a factor of 424177698?
True
Is 17165924 a multiple of 6?
False
Does 12 divide 873275772?
True
Is 26 a factor of 2715707505?
False
Is 2252 a factor of 707330680?
True
Is 1324653958 a multiple of 3053?
True
Does 23 divide 630379719?
False
Does 528 divide 49559664?
True
Does 212 divide 10365700?
False
Does 1530 divide 371465640?
True
Does 7 divide 3844034?
False
Is 26142036 a multiple of 4?
True
Is 980366712 a multiple of 19?
True
Is 433 a factor of 28801562?
False
Is 2805141 a multiple of 805?
False
Does 79 divide 456886191?
False
Is 2060685440 a multiple of 110?
True
Is 10 a factor of 5601940?
True
Is 2 a factor of 651058?
True
Does 1210 divide 47600190?
True
Does 42 divide 32842820?
False
Is 5425490889 a multiple of 2457?
True
Does 13 divide 10335819?
True
Does 16 divide 107900464?
True
Is 115512769 a multiple of 541?
False
Is 3 a factor of 76510422?
True
Is 3326639932 a multiple of 7?
True
Does 40 divide 904453240?
True
Does 13 divide 5618637?
False
Is 360155986 a multiple of 137?
False
Is 2866462560 a multiple of 31?
False
Is 46 a factor of 5679758?
True
Is 46 a factor of 24763502?
True
Is 3 a factor of 23419347?
True
Is 13 a factor of 74608735?
False
Does 1531 divide 5465458350?
False
Is 88 a factor of 861890079?
False
Is 9029467 a multiple of 137?
False
Is 102516798 a multiple of 174?
True
Is 193834698 a multiple of 366?
True
Is 473118660 a multiple of 801?
True
Does 952 divide 9020200?
True
Is 7356192 a multiple of 327?
True
Is 6 a factor of 30315882?
True
Does 2628 divide 2289809904?
False
Is 260780389 a multiple of 34?
False
Does 229 divide 30151719?
False
Is 390699576 a multiple of 18?
True
Does 22 divide 34058838?
True
Is 956 a factor of 99771028?
True
Does 4 divide 130098167?
False
Is 8083902 a multiple of 138?
True
Is 59854681 a multiple of 4998?
False
Does 4615 divide 227044155?
True
Is 504 a factor of 130558013?
False
Is 1613 a factor of 10282875?
True
Is 105183743 a multiple of 119?
True
Is 2954 a factor of 24028104?
False
Does 38 divide 8930114?
True
Is 63 a factor of 834995322?
True
Does 323 divide 30519576?
False
Is 155 a factor of 1125145775?
True
Does 3 divide 121015308?
True
Does 6404 divide 517565164?
False
Is 1751703 a multiple of 53?
True
Is 7 a factor of 3171896?
True
Is 440819928 a multiple of 139?
False
Is 567628722 a multiple of 54?
True
Does 639 divide 466469576?
False
Is 26 a factor of 776311874?
True
Does 539 divide 212368695?
True
Is 7066786 a multiple of 6?
False
Is 462958700 a multiple of 50?
True
Is 20188293 a multiple of 2?
False
Does 2372 divide 391759520?
True
Does 11 divide 38946787?
True
Is 243269735 a multiple of 191?
False
Is 265677717 a multiple of 10?
False
Is 36216060 a multiple of 60?
True
Is 86 a factor of 208901701?
False
Is 29475955 a multiple of 15?
False
Is 19439095 a multiple of 17?
False
Is 656488216 a multiple of 103?
True
Is 37654248 a multiple of 20?
False
Does 73 divide 10957918?
False
Is 1132 a factor of 24985148?
False
Is 816 a factor of 244898736?
True
Is 49889686 a multiple of 406?
True
Does 5457 divide 354246711?
False
Is 278375857 a multiple of 258?
False
Does 24 divide 6786624?
True
Does 1851 divide 655972490?
False
Does 219 divide 584239002?
True
Does 21 divide 6410759066?
False
Does 254 divide 871349794?
True
Is 229835356 a multiple of 755?
False
Does 641 divide 111234087?
False
Does 22 divide 5414728?
True
Is 3909 a factor of 286499137?
False
Is 978 a factor of 24256257?
False
Is 60 a factor of 75171960?
True
Is 408 a factor of 617465157?
False
Is 121 a factor of
|
{
"pile_set_name": "DM Mathematics"
}
|
*i))/i assuming i is positive.
i**(515/7)
Simplify ((u**(-1)*u*u)**(-17/4)*(u/(u/u**1))/u**(1/19))**(2/7) assuming u is positive.
u**(-251/266)
Simplify ((o*o/(o*o*o*o*o*o**(-27))*o)/o**5)**(1/30) assuming o is positive.
o**(2/3)
Simplify ((p**(-4)/((((p*p/(p/p**(-1/6)))/p*p)/p*p)/p))**(1/14))**(-26) assuming p is positive.
p**(299/42)
Simplify s*s**(-1/3)*s**1*s**(4/3)*s*s**(-17/2) assuming s is positive.
s**(-9/2)
Simplify (f**11*f)**(-38)*f**(-4/11)/(f/f**(-20/3)) assuming f is positive.
f**(-15313/33)
Simplify (((f/(f/f**14))/f*f)/f**(2/37))/(f*f/(f/f**3)*f**(-15)*f) assuming f is positive.
f**(886/37)
Simplify (k*k*k**(1/12)*k)**(-26)*k**6/(k/(k/(k/(k/k**(-4/5))))) assuming k is positive.
k**(-2201/30)
Simplify (t/((t*t**5)/t))**(3/11)*(t*(t/(t/(t*t**(2/3))))/t)**3 assuming t is positive.
t**(43/11)
Simplify (u*u*u**(-4)/u*u)**(-31)/(((u**12/u)/u)/(u/(u/(u*u**(-4/11))))) assuming u is positive.
u**(579/11)
Simplify (b**(-2/9)/b*b**(-3)/b)/(b*b**(3/2)*b**(-3/5)) assuming b is positive.
b**(-641/90)
Simplify ((((o**2*o)/o)**(-21))**(-2/15))**(-15) assuming o is positive.
o**(-84)
Simplify (q**(-4/9))**(-1)/((q*q**(-15)/q)/q)**(6/7) assuming q is positive.
q**(892/63)
Simplify (v/(v*v**8))/(v**12*v*v)*v**7*v*v**(-2/17) assuming v is positive.
v**(-240/17)
Simplify (s**0)**(1/36)/(s/s**(-7)*s/(s*s/((s**(1/6)/s)/s))*s) assuming s is positive.
s**(-37/6)
Simplify ((f*f*f*f**(2/25))/f)**(-6/25)/(f**(-21)/f*f**2) assuming f is positive.
f**(12188/625)
Simplify (s*s**(-15))**(45/4)*(s*s**10*s)**(-33) assuming s is positive.
s**(-1107/2)
Simplify ((p**(-6)/p*p*p*p**(-4))/(p/(p/p**1*p)*p*p**(-1)))**(-7/4) assuming p is positive.
p**(63/4)
Simplify (m**(2/5)/m*m)**(1/27)/(m**1)**(-2/19) assuming m is positive.
m**(308/2565)
Simplify (z*z**(-1))**(-9)/(z*z**(10/3))**(-8) assuming z is positive.
z**(104/3)
Simplify (k**(2/89)/(k/k**(-19/6)))/(k/(k**(-40)*k)*k*k*k**(-4/11)) assuming k is positive.
k**(-268915/5874)
Simplify d*d**(1/3)*d*d**(5/3)/d*(d*d*d**(-3)*d)**(15/7) assuming d is positive.
d**3
Simplify (b**0/b*b)**2/(b**(-2/5))**(1/10) assuming b is positive.
b**(1/25)
Simplify ((i/(i*i**(-12)))/i)/i**(-1/15)*(i*i**(2/7))**(-47) assuming i is positive.
i**(-5183/105)
Simplify (z**(-8/11)*z/z**(-2/25))/((z*z**(-8/7))/z**(1/35)) assuming z is positive.
z**(1009/1925)
Simplify (k**(-4/3))**(-2/31)/((k/(k**(1/10)*k))/(k*(k*k/(k**(-5/6)/k))/k)) assuming k is positive.
k**(623/155)
Simplify (i/i**(1/19)*(i**(-1/4)/i)/i)**(-7/2) assuming i is positive.
i**(693/152)
Simplify ((p**(-4/3)*p*p**(1/7)*p)/(p/(p*p**0))**(-20/7))**(2/41) assuming p is positive.
p**(34/861)
Simplify ((z**1/z)**(8/7)*(z**(-1)*z)**37)**(-2/103) assuming z is positive.
1
Simplify f**12/(f/(f**6*f))*f*((f**4/f)/f*f*f)/f*f*f/(f/(f/((f*(f/f**2)/f)/f)*f))*f assuming f is positive.
f**28
Simplify (t**(1/2)/t**(-19))/(t/t**(-3/8)*t**(-22)) assuming t is positive.
t**(321/8)
Simplify (h**(-30/11)/(h**(6/7)*h))/(h*h*h**22)**(-3) assuming h is positive.
h**(5191/77)
Simplify (v*v*(v**(-18/7)/v)/v*(v*v**39)/v)**(-5) assuming v is positive.
v**(-1275/7)
Simplify (v/(v/(v/(v**(-5)/v))))**(-2/179)*v**(-18/7)*v**5 assuming v is positive.
v**(2945/1253)
Simplify (((r*r**7/r)/r**(-3))**(2/105))**(1/15) assuming r is positive.
r**(4/315)
Simplify ((((l*l**(2/15)*l*l)/l)**(1/6))**30)**39 assuming l is positive.
l**416
Simplify t**(21/5)*t*t/(t/(t*t**27))*t*t/(t*t**(-2/5)*t)*t*t/(t*t*t**(-32)*t) assuming t is positive.
t**(323/5)
Simplify ((s*s**(-4/3))/(s*s**(-6/17)))/((s**(-1/5)/s)/(s*s**(-10)/s)) assuming s is positive.
s**(-2494/255)
Simplify ((p**(-3)*p)/p*p)**(-22/9)/(p/(p*p*p*p**(-2/27))*p*p/(p**(-10/7)/p*p)*p) assuming p is positive.
p**(451/189)
Simplify ((a**(-2/11)/(a*a*a**(-1/2)))/(a**(-2/9)/a**(-1)))**(-4/7) assuming a is positive.
a**(974/693)
Simplify i/(i*i/i**(-3/10))*i*i**11*i*(i**(3/2))**(-2) assuming i is positive.
i**(87/10)
Simplify (k*k**(2/15))/(k**(5/8)/k)*(k**(1/19)/k)**(-44) assuming k is positive.
k**(98479/2280)
Simplify ((y**(-3)/y)/y**3*(y*y**1)**(11/3))**(-45) assuming y is positive.
y**(-15)
Simplify (a/((a/(a*a**(-2/9))*a*a*a)/a*a))/(a/(a*a**(-1/16)*a))*(a**(1/12))**(1/11) assuming a is positive.
a**(-2023/1584)
Simplify (c**1/c)**(-27/7)/(c*c**(-14/9)*c*(c*c**(-17))/c) assuming c is positive.
c**(149/9)
Simplify (y**(-22)/(y**23*y))/(y**(1/40)*(y/(y*y/y**(-1/6)))/y) assuming y is positive.
y**(-5263/120)
Simplify (r/(r/(r/(r/(r*(r*r*((((r**(2/17)*r)/r*r)/r)/r)/r)/r))))*r*r/r**(-7))/(r**(1/20)/r*r/(r*r**(-1/6))) assuming r is positive.
r**(10099/1020)
Simplify (((a*((a**3*a)/a)/a)/(a*a**(-3)/a))/(a**(-2)/a)**(-2/13))**(-4/5) assuming a is positive.
a**(-288/65)
Simplify (z*z**(-1/7)*z)**(-49)/(z/(z**(-10)/z))**19 assuming z is positive.
z**(-319)
Simplify (g**3/(g/(g**(8/5)*g*g)))/(g**(6/5)*(g*g**(-6/7)/g)/g) assuming g is positive.
g**(219/35)
Simplify ((z/z**(1/5)*z)/(z*z*z*z**(-6)))/(z**(-2/7)/z)**(-34) assuming z is positive.
z**(-1362/35)
Simplify q*q**(1/17)*q**(7/2)*(q*q**(-34))/q**7 assuming q is positive.
q**(-1205/34)
Simplify (z**(-1/2)*z/((z*z*z/z**17*z)/z)*z)/(z**(-10/7))**0 assuming z is positive.
z**(31/2)
Simplify q**(-3)*q*q**(6/5)*q*q*(q*(q*q*q/(q/(q**(2/13)*q)))/q)/q*q*q/(q**(-9/2)*q) assuming q is positive.
q**(1151/130)
Simplify (c/(c/(c**(-3/13)/c)))/(c**13*c)*c**(6/17)*c/((c*c/c**0)/c)*c assuming c is positive.
c**(-3067/221)
Simplify ((o/(o**(-1)*o))**(-4/5)/(o**(-2/11)/o**(-5)))**50 assuming o is positive.
o**(-3090/11)
Simplify (t**(-4/9)*t)**(2/67)/(t*t**(-3)*((t/(t/t**(-17)))/t)/t*t) assuming t is positive.
t**(12070/603)
Simplify ((g/(((g/(g/(g/(g*g**(-4)*g)*g))*g)/g)/g*g)*g*g**6)**(-2/21))**38 assuming g is positive.
g**(-304/21)
Simplify (x**1*x)**40/(x*x/((x**(-2)*x)/x))**35 assuming x is positive.
x**(-60)
Simplify k/k**17*k**(-15)*(k/k**(-24))/(k*k**(3/4)) assuming k is positive.
k**(-31/4)
Simplify ((b**(9/5)/b)**(-7))**(-21/8) assuming b is positive.
b**(147/10)
Simplify (v**7)**(-49)*v**(-9)*v*v*v*v*v**27 assuming v is positive.
v**(-321)
Simplify ((z**(1/42)/z)/(z*z**29))**(-5/3) assuming z is positive.
z**(6505/126)
Simplify (o**(-4))**(-5/2)/(o*(o/(o**7/o))/o*o)**(-4/11) assuming o is positive.
o**(94/11)
Simplify ((v*v*v/v**5*v)/(v/(v*v**5))*(v**3/v)/v**(-8))**(-22) assuming v is positive.
v**(-308)
Simplify t**(-22)*t*t**(20/3)*(t*t**(-1))/(t*t*t**(2/13)/t) assuming t is positive.
t**(-604/39)
Simplify q/(q*q*q/(q**18*q*q))*q*q**(3/4)*(q*q/(q*q**(2/5)))/q**(1/9) assuming q is positive.
q**(3643/180)
Simplify ((j**(-5)/(j*j**10*j))**(1/22))**48 assuming j is positive.
j**(-408/11)
Simplify (u/u**(-1))**(-1/35)/(((u/(u/u**(-9)))/u)/(u/(u/u**(-1/2))*u)) assuming u is positive.
u**(731/70)
Simplify (u/u**(-19)*u**(-4/3))**0 assuming u is positive.
1
Simplify (d**17*d**(-1/3)/d)**(-5/11) assuming d is positive.
d**(-235/33)
Simplify (z**(-2/61))**(-30/7)*z/(z*z**(2/31))*z*z*z*z*z*z/(((z/z**(6/11))/z)/z)*z*z*z assuming z is positive.
z**(1546558/145607)
Simplify ((a*a/(a/a**13)*a)/(a**(2/19)*a))/((a**(-1)/a)/a*a*a/(a/(a/(a*(a**(-2/41)*a)/a*a*a)))*a*a) assuming a is positive.
a**(12344/779)
Simplify (x*x/x**(8/11))/x**22*x**(-2/37)*x**10/x assuming x is positive.
x**(-4795/407)
Simplify (t*t/t**10*t)/(t**(4/3)/t)*t**1*t/t**1*t assuming t is positive.
t**(-16/3)
Simplify ((z/z**17)/z**8)/(((z/(z**(-23)*z*z))/z)/(z**(-3)/z*z)) assuming z is positive.
z**(-48)
Simplify (p**(2/9)*p/p**(-16))/((p*p**9*p)/(p/(p*(p/(p*p*p**(2/5)*p))/p))) assuming p is positive.
p**(433/45)
Simplify (((r/r**5)/r)/r*r/r**(-1/5)*(r/(r*r/(r*((r/r**(1/3)*r)/r)/r)))/(r**(-2)/r*r))**(-1/5) assuming r is positive.
r**(47/75)
Simplify ((g**(-2/29)/(g*g/g**(4/5)))/(g**(-1/9)*g**(1/4)))**47 assuming g is positive.
g**(-345403/5220)
Simplify (x/(x**(-3/13)*x)*x*x)**9*(x**(-7)/x)**(-43) assuming x is positive.
x**(4733/13)
Simplify (d*(d*d**(2/17)*d)/d*d*d/(d**(6/5)/d))/(d*d**(2/11)*d*d/(d/d**(-9))) assuming d is positive.
d**(10038/935)
Simplify (g*g**(-4/5))**17*(g*g/(g*g**(-1/18)))/(g*g**(3/8)/g*g) assuming g is positive.
g**(1109/360)
Simplify (w**(-2/13))**(2/107)*(w/(w/(w/(w/(w*w**(-1/16))))))/(w*w*w**(-1/36)) assuming w is positive.
w**(-207835/200304)
Simplify n/n**40*n*n/n**(1/20)*n*n**23*((n**(-24)*n)/n)/n assuming n is positive.
n**(-761/20)
Simplify (v*
|
{
"pile_set_name": "DM Mathematics"
}
|
0.375
Round -1498.126 to the nearest one hundred.
-1500
Round -71.6839838 to the nearest ten.
-70
Round 105325.9267 to the nearest one thousand.
105000
Round 19826622.17 to the nearest ten thousand.
19830000
What is -26485770.9 rounded to the nearest ten thousand?
-26490000
Round 31.15042868 to 2 dps.
31.15
What is 11.6628845 rounded to the nearest integer?
12
What is -0.001629039146 rounded to three decimal places?
-0.002
Round 11.858168 to one dp.
11.9
What is 0.00080703295 rounded to seven dps?
0.000807
Round -0.00002002810035 to 7 decimal places.
-0.00002
What is -249275.819 rounded to the nearest one thousand?
-249000
Round -596278.0573 to the nearest 1000.
-596000
Round -0.165889087 to 2 decimal places.
-0.17
What is -0.4162218811 rounded to 5 decimal places?
-0.41622
Round 348456.696 to the nearest 1000.
348000
Round 0.00176491449 to 5 decimal places.
0.00176
What is -2170153.794 rounded to the nearest 1000?
-2170000
What is 1723.43035 rounded to 0 decimal places?
1723
What is -145810.343 rounded to the nearest ten thousand?
-150000
Round 0.00000248754038 to 6 dps.
0.000002
What is 0.0003155865813 rounded to seven decimal places?
0.0003156
Round 9860.69822 to 0 dps.
9861
Round -192481.372 to the nearest 10000.
-190000
Round 3272.912407 to zero dps.
3273
Round -119346227 to the nearest one hundred thousand.
-119300000
What is -200.892138 rounded to the nearest ten?
-200
Round 0.0618465177 to three decimal places.
0.062
What is 0.75243105 rounded to four decimal places?
0.7524
Round -14385898 to the nearest 100000.
-14400000
Round 219.093241 to the nearest ten.
220
What is 5.5298615 rounded to the nearest 10?
10
Round -0.0003171768338 to 5 decimal places.
-0.00032
Round -7504326.138 to the nearest one thousand.
-7504000
What is 676.87833 rounded to one dp?
676.9
Round 1.16513898 to one dp.
1.2
Round 0.301748078 to two dps.
0.3
What is 0.000610863488 rounded to four decimal places?
0.0006
What is 806.7096024 rounded to the nearest integer?
807
Round -480024.757 to the nearest one hundred thousand.
-500000
Round -70.9343821 to the nearest integer.
-71
What is 5002807.29 rounded to the nearest 10000?
5000000
Round -31.62626 to the nearest one hundred.
0
Round -0.41133624 to three decimal places.
-0.411
What is -0.00578660466 rounded to three dps?
-0.006
What is -34.668876 rounded to one decimal place?
-34.7
Round -1872.07058 to the nearest one thousand.
-2000
Round -253.3757959 to one decimal place.
-253.4
Round 15240.17639 to the nearest ten thousand.
20000
What is 0.0000739817269 rounded to six decimal places?
0.000074
Round 150.02708 to the nearest integer.
150
What is -30744035.8 rounded to the nearest one thousand?
-30744000
Round 1043.581978 to the nearest 100.
1000
Round -0.00728607784 to 5 dps.
-0.00729
What is 6446.452269 rounded to the nearest one thousand?
6000
Round -2.725225588 to four dps.
-2.7252
Round 0.0000282356781 to 5 dps.
0.00003
Round -8939688.913 to the nearest 10000.
-8940000
What is -15064.45622 rounded to the nearest ten?
-15060
Round -113732223 to the nearest one hundred thousand.
-113700000
What is -0.053498287 rounded to 2 decimal places?
-0.05
What is -2633415.899 rounded to the nearest 100?
-2633400
What is 0.00192951952 rounded to five dps?
0.00193
Round 921601042 to the nearest 100000.
921600000
Round 3.5908627 to 1 dp.
3.6
Round 4.72213501 to zero dps.
5
Round -480171.78 to the nearest one hundred thousand.
-500000
What is -21.6183369 rounded to 2 dps?
-21.62
What is -293.362037 rounded to the nearest one hundred?
-300
What is 0.000173453018 rounded to 7 decimal places?
0.0001735
Round 152124.561 to the nearest ten thousand.
150000
What is 3789.67852 rounded to the nearest one thousand?
4000
Round 0.00272497254 to six dps.
0.002725
What is 67844308.23 rounded to the nearest 10000?
67840000
Round 342544.2596 to the nearest 10000.
340000
What is 8745325.4 rounded to the nearest 1000000?
9000000
What is 0.000097803826 rounded to 5 dps?
0.0001
What is -3.900917053 rounded to 1 decimal place?
-3.9
What is 33.14931 rounded to the nearest integer?
33
What is -0.1124072717 rounded to 3 dps?
-0.112
What is -93.025885 rounded to one dp?
-93
Round -14550.6057 to the nearest one hundred.
-14600
What is 0.000530317095 rounded to seven decimal places?
0.0005303
Round -0.19947928 to four decimal places.
-0.1995
Round -0.00211517606 to seven decimal places.
-0.0021152
Round -0.00424531366 to 5 decimal places.
-0.00425
What is 279700.644 rounded to the nearest one hundred?
279700
What is 3.98095722 rounded to 4 dps?
3.981
What is -3627.077661 rounded to 1 dp?
-3627.1
Round -9430416.86 to the nearest one thousand.
-9430000
Round -0.0024265405 to six dps.
-0.002427
Round 148989.8703 to the nearest one hundred.
149000
What is -0.00586610013 rounded to seven dps?
-0.0058661
Round -378.8536776 to 1 decimal place.
-378.9
Round -962436.97 to the nearest one thousand.
-962000
What is 0.00000024029821 rounded to 7 dps?
0.0000002
Round 222832.015 to the nearest ten thousand.
220000
Round 0.000335750855 to 6 dps.
0.000336
Round 0.15263674 to four decimal places.
0.1526
What is 0.34418177 rounded to five decimal places?
0.34418
Round -0.020655115374 to 7 dps.
-0.0206551
Round 1.617612414 to three decimal places.
1.618
What is -0.0001501305617 rounded to 7 dps?
-0.0001501
What is -0.00482086873 rounded to 4 dps?
-0.0048
What is -273083210 rounded to the nearest one hundred thousand?
-273100000
Round 766.168249 to the nearest 100.
800
Round -20302216.86 to the nearest one thousand.
-20302000
Round 256378445 to the nearest one million.
256000000
What is -0.0001007780132 rounded to seven dps?
-0.0001008
Round -1.24192711 to three decimal places.
-1.242
What is -0.0001693888492 rounded to 6 dps?
-0.000169
What is -19.3597045 rounded to two decimal places?
-19.36
Round -0.53424595 to one dp.
-0.5
What is -0.00012260063 rounded to 6 dps?
-0.000123
Round -3589.1033 to the nearest 1000.
-4000
What is -1419.77441 rounded to 0 dps?
-1420
What is 0.00298515583 rounded to 6 decimal places?
0.002985
Round -0.0000215837881 to six decimal places.
-0.000022
Round -1.023676341 to four dps.
-1.0237
Round -1070.7339262 to 2 dps.
-1070.73
Round -15144313.5 to the nearest 1000000.
-15000000
What is -0.80005015 rounded to three decimal places?
-0.8
What is -4.16213539 rounded to the nearest integer?
-4
What is 202313.7841 rounded to the nearest 10000?
200000
Round 9.76892431 to two decimal places.
9.77
What is -7834.4046 rounded to the nearest 1000?
-8000
Round -0.00000095692771 to seven decimal places.
-0.000001
What is -0.85200631 rounded to three decimal places?
-0.852
Round 0.00008689868 to 4 decimal places.
0.0001
What is -1327.206151 rounded to one decimal place?
-1327.2
Round -24188.451 to the nearest one thousand.
-24000
What is 0.0000083476089 rounded to 7 decimal places?
0.0000083
What is 1250160.271 rounded to the nearest 1000?
1250000
Round -22.4132741 to the nearest 10.
-20
Round 0.00007391854289 to 6 dps.
0.000074
What is 1068613.687 rounded to the nearest 1000?
1069000
Round -0.0172869418 to 6 decimal places.
-0.017287
What is 87.153241 rounded to two decimal places?
87.15
What is 8746021200 rounded to the nearest one million?
8746000000
Round 0.0151903822 to six dps.
0.01519
Round 42.152358 to 2 dps.
42.15
Round 0.749963341 to 4 decimal places.
0.75
What is 655673.94 rounded to the nearest 10000?
660000
Round -44.62354354 to three decimal places.
-44.624
Round 55286415.2 to the nearest 10000.
55290000
Round 28643555.15 to the nearest ten thousand.
28640000
Round -59651.7416 to the nearest 100.
-59700
Round 2.049549199 to 3 dps.
2.05
Round 518614.5809 to the nearest one hundred.
518600
Round 2.97654294 to three dps.
2.977
Round 0.000043240326 to 5 decimal places.
0.00004
What is 2722660340 rounded to the nearest one million?
2723000000
What is 16867544370 rounded to the nearest one million?
16868000000
What is 11.00398755 rounded to 0 decimal places?
11
Round 511347.727 to the nearest 1000.
511000
What is 0.00000627251167 rounded to six decimal places?
0.000006
Round 0.00791666379 to 6 decimal places.
0.007917
Round -796859.0618 to the nearest 100.
-796900
What is 112770.88577 rounded to the nearest one thousand?
113000
Round 0.0000087254
|
{
"pile_set_name": "DM Mathematics"
}
|
.
1471
Express 1353 - 992 - 24769*l - 361 in the form w*l + b and give w.
-24769
Express 5*a - 4670 - 4555 + 9695 in the form i + f*a and give i.
470
Rearrange -2337 + 1163 + 1213 - 2*d**2 - 3*d**3 + 15*d + 4*d**3 to u*d**2 + z*d + s + i*d**3 and give i.
1
Express (-u + 0*u - 3*u)*(5 + 10*u - 5)*(247 - 206 + 1003 + u) as v*u**3 + h*u**2 + m*u + d and give v.
-40
Express 0*z**4 - 10*z**3 - 12 + 2*z**4 + 10*z + 15 - 8 + 0*z**4 in the form d*z**2 + c*z**4 + q*z**3 + w*z + r and give w.
10
Rearrange -158*v + 3940624 - 43*v - 3940628 to w*v + y and give y.
-4
Express 2*f + 196*f**3 - 318484430*f**2 + 318484430*f**2 - 2*f**4 in the form o*f**2 + s*f + g + w*f**4 + a*f**3 and give s.
2
Rearrange -126*n - 1274*n**3 - n**4 + 2545*n**3 + 5 + 95*n - 198*n - 1268*n**3 to r + x*n**2 + q*n**3 + y*n + v*n**4 and give q.
3
Express 9616*q**2 + 0*q - 7023*q**2 + 7165*q**2 - q in the form w*q**2 + f + l*q and give l.
-1
Express -17877*s - 17927*s - 38 + 35702*s in the form t + g*s and give g.
-102
Rearrange (4 - 4 - 3*q + (2*q - 2*q + 2*q)*(-1 + 2 - 3) - 1 + 1 - 2*q)*(-209 + 267*q - 133*q - 132*q) to g + w*q**2 + j*q and give w.
-18
Rearrange (10*r + 12*r + 16*r - 11*r)*(-6*r + 3*r - 3*r + (-6 - 5 + 6)*(0*r + 2*r + 0*r)) to x*r**2 + u*r + k and give x.
-432
Express (1626 + 218*j - 1626)*(-2*j + 2*j - j)*(0*j - j + 6*j) + 7*j**3 - 2*j**3 - 4*j**3 - 1 as r*j + g*j**3 + y*j**2 + d and give d.
-1
Rearrange 2589*w**3 + 537*w**4 - 2589*w**3 + (38 - 28 - 18 + 4*w)*(4*w - 4*w + 2*w**3) to the form n*w**2 + x*w + j + p*w**3 + g*w**4 and give g.
545
Rearrange (-2 - 1 + 2)*(-1 + 1 + 2)*((-2 - 2 + 6)*(-15*a - 17*a + 8*a) + (-a - 6*a - 2*a)*(-6 + 2 - 4)) to k + q*a and give q.
-48
Express -22 - 2*o**2 - 10180*o + 5110*o + 5058*o in the form z*o**2 + w*o + b and give z.
-2
Rearrange 7*t**3 + 268 - 199 - 70 - t**4 + 17*t + 2*t**2 to v + x*t**4 + k*t**3 + d*t**2 + o*t and give d.
2
Express -1969*r**2 + 1577*r**2 - 3063*r**2 in the form w*r + t + f*r**2 and give f.
-3455
Rearrange -615543 + 19597*m + 973*m + 615543 to q + r*m and give r.
20570
Rearrange (2*f + 3*f + 0*f)*(-2*f + 3*f - 2*f) + 66*f**2 + 45*f**2 - 80*f**2 + (2*f + f - f)*(-77 - 14*f + 77) to the form d*f + v + g*f**2 and give g.
-2
Express -32*z**3 + 155*z - 59*z + 3*z as k*z**2 + n*z**3 + y + d*z and give d.
99
Express 67*k**3 + 12*k**2 - k - 72*k**3 - 6 - 11 + 12 in the form t*k**3 + l*k**2 + f*k + y and give l.
12
Express (2*h + 5 - 5 + (h + 2*h - 4*h)*(-1 - 2 + 4) - 327*h + 159*h + 30*h)*(3 - 5 + 1)*(5 - 3 + 1)*(4*h - 4*h - 2*h) as d*h + t + v*h**2 and give v.
-822
Express (2*x - x + x)*(-18 - 27 - 48)*(-5 - 3 + 0)*(-2 - 2 + 6)*(-x - 4*x + 3*x) in the form p*x**2 + y + r*x and give p.
-5952
Rearrange -89*l - 57 + 21027*l**2 + 89*l + 57 to the form m*l + p*l**2 + f and give p.
21027
Express (2*w**4 + 2*w - 2*w)*(341 - 421 + 266)*(-3 + 4 + 1) + (1 - 1 + 3*w)*(-4*w**3 + 0 + 0) as p*w + v + l*w**4 + s*w**3 + g*w**2 and give l.
732
Rearrange (109*u**2 + 92*u**2 + 31*u**2)*(6 - u - 8 + 3) to k*u**2 + c*u + g + a*u**3 and give g.
0
Express (23*c - 64*c**2 - 23*c)*(4*c - 3*c - 2*c)*(1 - 1 - 13*c)*(7 - 18 + 3) in the form l*c**3 + j*c**2 + k + z*c + p*c**4 and give p.
6656
Rearrange ((2*t**4 + t**4 - 2*t**4)*(6 - 1 - 4) - 307*t + 307*t + 24*t**4)*(-1 - 15 - 6) to the form h*t**4 + w*t + b + a*t**2 + s*t**3 and give h.
-550
Express (166 - 166 + 21*u)*(-1 - 1 - 3)*(1 + 2 - 2)*(-3 + 8 - 6) as h + f*u and give h.
0
Express -169 + 140 + 773 + 648 + m as i + g*m and give i.
1392
Rearrange -8500*o**2 + o + 661 + 17008*o**2 - 8505*o**2 - 82 to r + s*o**2 + w*o and give r.
579
Rearrange (4*v - 2*v - v)*(-v + v + 2*v) + (4*v**2 - 4*v**2 - 2*v**2)*(0 + 3 - 2) + 511*v**2 + 45*v**2 + 29*v**2 to the form k*v + g + b*v**2 and give b.
585
Express -4 + 36 + 450*m - 29 in the form n + v*m and give v.
450
Rearrange (-6*d**3 - 5*d**3 - 5*d**3)*(-55 - 13*d + 55 + 5 - 5 - d + (6 - 12 - 8)*(d + 0*d + 0*d)) to the form n*d**4 + w + i*d**3 + f*d**2 + h*d and give n.
448
Express -100476 + 100476 + 5007*g as t*g + f and give t.
5007
Express 3418*t - 821*t + 3061*t as b + r*t and give r.
5658
Rearrange -7*x - 7*x**2 - 11*x**2 + 2*x + 21*x**2 + 4*x + 331 to n*x**2 + s + t*x and give n.
3
Rearrange 1662*h**2 + 7006*h**2 - 5*h**3 + 1190*h**2 + 5897*h**2 + 7*h**3 to the form j*h**3 + g*h + q + l*h**2 and give l.
15755
Express 4 + 29*q + 45*q - 73*q - 397*q in the form r*q + l and give l.
4
Rearrange -57872*g**2 + g**4 - 1 - 2*g**3 + 19*g + 28937*g**2 + 28927*g**2 to the form t + m*g**4 + n*g**3 + i*g**2 + h*g and give h.
19
Express -6*n + 0*n - 453 - 10*n - 7*n + 10*n as t + l*n and give l.
-13
Express (-4*p - p + 3*p)*(277 + 188 + 141 - 200) + 4 + 2*p - 4 + (0 + 4 - 5)*(-3*p - 4*p + 5*p) as v + j*p and give j.
-808
Express 2139*t + 1275*t - 64 + 78 - 14 in the form u + g*t and give g.
3414
Express (j + 0*j - 4*j)*((-19 + 4*j + 19)*(-2 - 1 + 7) - 2*j + j + 5*j)*(-2 + 0 + 0) - j**2 - 11*j**2 + 3*j**2 in the form p*j**2 + q*j + f and give p.
111
Express 2324*m**2 - 4411*m**2 + 2310*m**2 - 3*m + 3*m - m**2 + (-m + 2*m + 0*m)*(-m + 2 - 2) + 2*m**2 - 4*m + 4*m as t*m + k + l*m**2 and give l.
223
Rearrange (3*z + 0*z + 0*z)*(-5 + 55 + 4) - 17*z + 21*z + 6*z to p + c*z and give c.
172
Rearrange (1472*u**3 + 12*u**3 - 299*u**3)*(25*u - 4 - 13*u - 18*u) to the form s*u**2 + c*u**4 + x*u + r + v*u**3 and give c.
-7110
Express (9 + 12*v - 15*v - 9*v)*(-v - 3*v + 2*v) - 1058 + 527 + 17*v**2 + 534 as s*v + w*v**2 + f and give w.
41
Rearrange (-124*o - 34*o**2 + 417*o - 206*o)*(-6 - 4*o + 6) to the form y*o**2 + p + n*o**3 + u*o and give n.
136
Express (-6 + 2 + 3)*(3224 - 6438 + 3214 - 1523*w) in the form i + c*w and give c.
1523
Rearrange -y**2 + 3*y**2 + 2*y**2 + (6*y - 5*y + 8*y)*((0*y - y + 0*y)*(1 + 4 + 2) + 109 - 55 + 3*y - 50 - 1 + 2*y + 1) to the form k*y + c + n*y**2 and give k.
36
Express 821078*x**2 + 2*x - 823534*x**2 + 2*x as w*x**2 + v*x + c and give v.
4
Rearrange 1611 - 1586 + f**4 + 0*f**4 + (3*f**3 - 2*f**3 + f**3)*(14*f - 13*f + 25*f) to t*f**3 + a + x*f + r*f**4 + z*f**2 and give r.
53
Express (-5*q - q + 5*q + (-4 - 1 + 4)*(0*q - 5*q + 3*q) + 3*q - 3*q + 2*q + 31*q - 22*q + 14*q)*(9 + 3 - q + 2) in the form r + j*q**2 + l*q and give r.
0
Rearrange ((2*j - 3*j + 2*j)*(0 + 2 - 3) + (3 - 9 + 0)*(-98*j + 137*j - 84*j))*(-7*j + 2 + 9*j + 4*j) to the form p*j + k*j**2 + h and give p.
538
Express (-3 - 1 + 2)*(-3*b - b + 3*b)*(-34 + 27 + 61)*(-165*b - 166*b + 387*b) in the form r*b + j + u*b**2 and give u.
6048
Express ((0 + 3 - 1)*(0 - 3 + 4) + 220 + 154 - 73)*(1 - 3 + 4 + (-1 + 0 + 2)*(3 + 1 - 2))*(-3*w - 2*w**2 + 3*w) in the form u*w**2 + o + j*w and give u.
-2424
Rearrange i + 10*i - 25*i**2 + 2*i**3 + 24*i**2 - i**4 - 1 - 7*i + 2*i**4 to j*i + f + b*i**2 + y*i**3 + d*i**4 and give y.
2
Rearrange 8829 - 3003*a - 8829 to the form i*a + c and give i.
-3003
Express (-3 - 1 + 42)*(106*k - 358*k - 231*k) in the form l*k + i and give l.
-18354
Express (6*k - 2*k - 3*k)*(-11 + 853335*k - 852948*k + 25) in the form n*k**2 + f + v*k and give v.
14
Rearrange (1 - 2*z - 1)*(-z**2 + 0*z**2 + 6*z**2) - 2*z**3 + 2*z**3 - 3*z**3 - 1 - 105*z**2 to the form k*z**2 + g*z + u*z**3 + b and give b.
-1
Express (5 + 3 - 2)*(1095*r - 177799 + 177799 + 137*r) as d + m*r and give m.
7392
Express (12*a**3 - 17*a**3 - 12*a**3)*(0 - 6 - 3) as l + m*a**3 + z*a**2 + y*a and give m.
153
Express (0 + 6 - 2)*(-2 + 2 + 4*q) - 115*q - 9*q - 246*q + 86*q as m*q + g and give m.
-268
Rearrange 10341*k - 5929*k + 6173*k + 3488*k to f*k + c and give f.
14073
Express -8*t**2 + 13 - 113 - 41*t + 99 as b + s*t**2 + f*t and give b.
-1
Express 660*z - 529 + 528 - 660*z + 15079*z**3 in the form q*z + h*z**2 + j + t*z**3 and give t.
15079
Express (4947 + 4571 - 1337 - 174 - 699)*(-r**4 - 3*r**4 - 2*r**4) in the form i + p*r**2 + q*r**4 + k*r**3 + u*r and give q.
-43848
Rearrange 3*p + 182 + 2*p**3 - 1643286*p**2 + 1643286*p**2 to the form x + j*p**3 + h*p**2 + q*p and give x.
182
Express 1059 - 449 - 520 + 32*f**4 + 0*f**4 + 5*f**4 - 3*f**4 + (f**3 + 0*f + 0*f)*(f + 4 - 4) in the form w*f**2 + b*f**3 + o + r*f + l*f**4 and give l.
35
Rearrange 531652*p**3 - 531663*p**3 - 2*p**2 - 3*p - 1 + 1 + 5*p**4 to x*p + m*p**4 + v*p**2 + i + w*p**3 and give v.
-2
Express -24*y**3 + 0*y**3 - 14*y**4
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of -223*l**2*n*y + 8*l**2*n + 4*l**2 + n*y wrt y?
-223*l**2*n + n
What is the third derivative of 165*c**6*q - 2*c**4*i*q - c**3*i + 2*c**2*i + 84*i*q - 6*i wrt c?
19800*c**3*q - 48*c*i*q - 6*i
Find the third derivative of -644*b**3 + 8250*b**2.
-3864
Find the third derivative of s**2*t**4 - 213*s**2 + 118*s*t**4 - 5*s*t**2 wrt t.
24*s**2*t + 2832*s*t
Differentiate -51*u**4 + 3*u - 69 wrt u.
-204*u**3 + 3
What is the second derivative of b**3*j**4 - b**3*j - 17*b**3 + 330*b*j**4 + 2*j wrt j?
12*b**3*j**2 + 3960*b*j**2
Find the third derivative of -2*r**2*s**4 - 2*r**2*s**2 + r**2*s + r*s**4 - 20*r*s**3 - 6*r*s wrt s.
-48*r**2*s + 24*r*s - 120*r
Find the third derivative of 78*a**3*l**2 + a**2 + 27*l**2 + 1 wrt a.
468*l**2
What is the third derivative of 1616*c*x**3 + 19*c*x**2 + 27*c*x + 2*c wrt x?
9696*c
Find the third derivative of -2350*j**5 + 6*j**2 - 26*j wrt j.
-141000*j**2
Find the first derivative of -2*k**2 - 52*k + 85 wrt k.
-4*k - 52
Find the third derivative of -843*j**3 + 357*j**2.
-5058
What is the second derivative of -423*u**4 - 151*u wrt u?
-5076*u**2
Find the second derivative of -30*b**2 - 16*b + 15.
-60
What is the third derivative of 9721*c**3 - 6876*c**2 wrt c?
58326
Find the second derivative of -153*o**2 + 139*o + 2 wrt o.
-306
Find the second derivative of 40*o**5 + 7*o**2 - 11152*o.
800*o**3 + 14
What is the derivative of 336*t**4 - 362 wrt t?
1344*t**3
What is the third derivative of 6401*a*d**5 + 4*a*d**2 - a*d + 13*a + d**2 wrt d?
384060*a*d**2
What is the third derivative of 3275*y**3 + 935*y**2?
19650
What is the second derivative of 10734*l**2 - 8022*l?
21468
What is the second derivative of -2965*f**3 - 3473*f?
-17790*f
Differentiate -45*u**3 + 74 with respect to u.
-135*u**2
What is the second derivative of 2515*q**3*s - q**2*s**2 - q**2*s + 12*q*s**2 + q*s - 19*s**2 wrt q?
15090*q*s - 2*s**2 - 2*s
What is the second derivative of 43*b**2*v**3 - 52*b**2*v + 6*b*v**3 - 2*b*v wrt v?
258*b**2*v + 36*b*v
Differentiate -2586*l - 2453 with respect to l.
-2586
Find the third derivative of -796*w**4 - 2*w**3 - 59*w**2.
-19104*w - 12
Find the third derivative of -1152*p**3*z**4 + 2*p**3*z**3 - 19*p**3*z**2 - p**3*z - 27*p*z**2 - 2*z**4 wrt z.
-27648*p**3*z + 12*p**3 - 48*z
Find the second derivative of -j**5 + 15*j**2 + 123*j wrt j.
-20*j**3 + 30
What is the second derivative of -61*b**4 + 1309*b wrt b?
-732*b**2
Find the second derivative of -24*d**4 - 5*d**2*i + 17*d*i + d - i wrt d.
-288*d**2 - 10*i
Find the second derivative of -a**5 - 927*a**4 - 2*a**2 - 5170*a wrt a.
-20*a**3 - 11124*a**2 - 4
Find the third derivative of -g*l**6 - 2*g*l**3 + g - 3*l**2 + 21*l wrt l.
-120*g*l**3 - 12*g
Find the third derivative of 30*h*t - 580*h*u**3 - t*u**5 + t*u**2 + 37*u wrt u.
-3480*h - 60*t*u**2
Find the third derivative of 447*m**3 - 3*m**2 - 101*m wrt m.
2682
Find the third derivative of -130*n**6 - 35*n**3 + 2*n**2 - 9*n - 28.
-15600*n**3 - 210
Find the second derivative of 2*r**4 + 47*r**3 + 5*r + 12 wrt r.
24*r**2 + 282*r
What is the third derivative of 1140*d**3 + 3*d**2 + 499*d?
6840
What is the third derivative of 4301*m**4*o**2 + 3*m**4*o - m**3 - 4*m**2*o**2 + 989*m**2 wrt m?
103224*m*o**2 + 72*m*o - 6
Find the second derivative of -2*v**3 + 18*v**2 + 23*v.
-12*v + 36
Find the second derivative of 29944*q**2*s**3 - q*s**3 - 2*q*s + 35*q - 32*s**3 wrt q.
59888*s**3
What is the second derivative of -464*l*o**2*t - 2*l*o + 3*o**2*t**3 - 17*o*t + t**3 wrt o?
-928*l*t + 6*t**3
Find the first derivative of -2*c**3*k - 798*c**2*k - 10*k - 2 wrt c.
-6*c**2*k - 1596*c*k
Differentiate 92*f**4 - 28*f**3 - 13220 with respect to f.
368*f**3 - 84*f**2
Differentiate 3875*w**3 + 2243 with respect to w.
11625*w**2
Find the second derivative of 181*p**2*v**2 + p**2*v + 17*p*r*v**2 + 4*p*r*v + 22*r*v wrt v.
362*p**2 + 34*p*r
What is the second derivative of -8554*l*o**2 + 2*l*o + 7547*l wrt o?
-17108*l
What is the second derivative of 1281*n**3 - 18*n + 16 wrt n?
7686*n
Find the second derivative of 2*t*y**3 - 4*t*y**2 + 2*t*y + 578*t - 6*y**3 + y wrt y.
12*t*y - 8*t - 36*y
What is the second derivative of 772*k**5*x**2 - 2*k - 529*x**2 wrt k?
15440*k**3*x**2
Differentiate -77*a**2*c*j + a**2*c*x + 7*a*c*j*x + 7*a*c*x + 8*a*c - 4*x wrt j.
-77*a**2*c + 7*a*c*x
Find the third derivative of 2162*l**3*p**2 - 2*l**2*p - 21*l**2 - 3*p**2 wrt l.
12972*p**2
Find the third derivative of -1354*f**4 + 760*f**2 wrt f.
-32496*f
Differentiate -408*a**2*o**4 - 2734*a**2 + a*o**4 wrt o.
-1632*a**2*o**3 + 4*a*o**3
What is the second derivative of 3*d**5 + 3*d**4 - 27*d**3 - 4025*d wrt d?
60*d**3 + 36*d**2 - 162*d
Find the first derivative of 2705*m*w - 1498*w wrt m.
2705*w
What is the third derivative of 2*p*q**4 + 523*p*q**3 - 12*p*q**2 + 2*p - 19*q**2 + 1 wrt q?
48*p*q + 3138*p
What is the second derivative of -7*p**5*z + 3*p**2*y + 5*p**2*z + 30*p*y*z + 2*p*y - 5*p - y*z wrt p?
-140*p**3*z + 6*y + 10*z
What is the first derivative of 24*s**4*z + 7*s**2*z - s*z + 4*z - 271 wrt s?
96*s**3*z + 14*s*z - z
Find the second derivative of 3*j*q**3 - 76*j*q**2 + 13342*j*q - 6*q**3 - q**2 wrt q.
18*j*q - 152*j - 36*q - 2
Differentiate 2*r**4 + 844*r + 3135.
8*r**3 + 844
Find the third derivative of 1080*d**3*v**4 - 3*d**3*v**3 - 7*d**3*v**2 + 12*d**2*v**2 + 35*v**2 wrt v.
25920*d**3*v - 18*d**3
What is the second derivative of -7*p*y**3 - 2*p*y**2 + 77*p - y**2 + 3*y wrt y?
-42*p*y - 4*p - 2
What is the second derivative of 3*t**3 + 775*t**2 - 2*t - 1272 wrt t?
18*t + 1550
Find the third derivative of -18*a**5 + a**3 + 588*a**2 wrt a.
-1080*a**2 + 6
Differentiate -539*f**2 + f + 248 with respect to f.
-1078*f + 1
What is the first derivative of 70*p**3 - 180 wrt p?
210*p**2
What is the first derivative of -55*k**3*n**2 + 5*k**3*n + 98*k**3 - 10*k**2 wrt n?
-110*k**3*n + 5*k**3
Find the first derivative of 132*f*k + 2*f + 4637*k wrt f.
132*k + 2
What is the second derivative of -221*x**5 - 53*x - 5?
-4420*x**3
What is the derivative of 2*h**3*v + 376*h**3 - 71*h**2*v wrt v?
2*h**3 - 71*h**2
Find the first derivative of -554*h - 402 wrt h.
-554
Find the third derivative of 2591*n**3 - 3621*n**2.
15546
Differentiate 3823*m**2 - 3259 with respect to m.
7646*m
Differentiate -12826*a + 7004 wrt a.
-12826
What is the derivative of -71*w**2 - 77*w + 10281 wrt w?
-142*w - 77
Differentiate 5164*z + 11200 wrt z.
5164
Find the third derivative of 10*x**4 - 5*x**2 + x wrt x.
240*x
Find the third derivative of -36*f**2*p**3*v**2 - 6*f**2*p**2*v**2 - 2*f**2*p*v**2 + f**2*v - p**3*v**2 - 2*p**3 - 2*p**2*v wrt p.
-216*f**2*v**2 - 6*v**2 - 12
Find the third derivative of v**5*y - 3*v**4 + 248*v**3*y - v**2 + 8*y wrt v.
60*v**2*y - 72*v + 1488*y
Find the second derivative of 627*i**5 + 38*i - 6 wrt i.
12540*i**3
Find the second derivative of 9136*q**2 + 2*q + 919.
18272
What is the second derivative of 6*h**3*l + 2*h**2*l + 200*h**2 - 2*h*l + 14*h - 2*l - 5 wrt h?
36*h*l + 4*l + 400
Find the third derivative of 4*a*f*l - 8*a*l**3 + a + 23*f*l**3 + 82*f*l**2 + 2*l**3 wrt l.
-48*a + 138*f + 12
What is the third derivative of 10*n**5*v + 9*n**5 + 2*n**2*v + 20*n*v wrt n?
600*n**2*v + 540*n**2
Find the third derivative of 27*j*t**4 - 2*j*t**3 - 211*j*t**2 - j*t + 2*t**4 wrt t.
648*j*t - 12*j + 48*t
What is the third derivative of -6*f**4 - 4*f**2 - 39*f wrt f?
-144*f
Find the third derivative of -210*h**3 - 3*h**2 + 22*h wrt h.
-1260
Differentiate 52*z**2 + 47 wrt z.
104*z
Differentiate -74*a*s**2*t*w - 8*a*s*t**2*w - s**2*t**2 + 47*s**2*w - 2*s*t**2 + s*t*w with respect to a.
-74*s**2*t*w - 8*s*t**2*w
What is the second derivative of -r**4 - r**3 + 13*r**2 - 19668*r?
-12*r**2 - 6*r + 26
Differentiate 2*l**3*u - 17*l**2*u**3 + 51*u**3 wrt l.
6*l**2*u - 34*l*u**3
Find the second derivative of -825*l**2 + 23*l - 10 wrt l.
-1650
Find the second derivative of b*h**3 - 669*b*h**2 + b*h + h**3 - h**2 - 226*h wrt h.
6*b*h - 1338*b + 6*h - 2
Find the third derivative of 818*m**4 + 21*m**2 - 8 wrt m.
19632*m
What is the third derivative of k**2*p*u**2 - 77*k**2*u**3 - 2*k**2*u**2 - 13*k*p*u**3 + 21*k*u**2 - 8*p*u wrt u?
-462*k**2 - 78*k*p
What is the derivative of -9*b*x**2 + 218*x**2 wrt b?
-9*x**2
What is the second derivative of -4*k**3*s**2 - k**3*s + k*s**3 - 24*k*s -
|
{
"pile_set_name": "DM Mathematics"
}
|
wrt b.
-114*b - 12
Let y(z) = -48*z**3 - 17*z**2 + 2*z. Let h(t) = 97*t**3 + 36*t**2 - 5*t. Let b(i) = 2*h(i) + 5*y(i). What is the third derivative of b(l) wrt l?
-276
Find the second derivative of -3*n - 351*n**3 + 539*n**4 - 151 - 70 + 2*n + 351*n**3 wrt n.
6468*n**2
Suppose 10 = -5*w + 25. Differentiate 27 + 12 - 17 + 2*k**3 + k**w with respect to k.
9*k**2
What is the second derivative of -28*q**2 + 15*q - q**4 - 4*q + 2*q**4 - 2*q + 23 - 3*q**4 wrt q?
-24*q**2 - 56
Let o be (-1)/6 + 1/6. Suppose o = 5*r - 39 + 4. What is the derivative of -2 + 2 + r + 3*c**2 wrt c?
6*c
Let z(k) = k**2 - 51*k + 52. Let u be z(50). Let y(d) be the first derivative of 0*d**u + 8 + 6*d - 10/3*d**3. Differentiate y(g) wrt g.
-20*g
Let o(z) = -7128*z**4 - 2343*z**2 + 110*z. Let h(f) = -891*f**4 - 293*f**2 + 14*f. Let g(r) = 55*h(r) - 7*o(r). Find the third derivative of g(a) wrt a.
21384*a
Let v(t) = 9*t**3 - 61*t**2 - 10*t + 63. Let o(a) = 2*a**3 + a**2 - 2*a + 1. Let u(c) = 5*o(c) - v(c). What is the first derivative of u(y) wrt y?
3*y**2 + 132*y
Let x(y) be the third derivative of -679*y**6/120 - y**5/12 - 31*y**4/24 - 127*y**2. Find the third derivative of x(a) wrt a.
-4074
Let s(j) be the first derivative of -j**2 - j + 25/2*j**4 + 28 + 0*j**3. What is the second derivative of s(a) wrt a?
300*a
Let f(p) be the second derivative of -p**8/840 + 5*p**4/8 - 7*p**3/3 + 17*p. Let r(q) be the second derivative of f(q). Find the first derivative of r(x) wrt x.
-8*x**3
Let p = 21 - -2. Find the second derivative of 5*j**2 + 5*j - 5*j**2 - p*j**3 + j wrt j.
-138*j
Let i(u) be the second derivative of 1/12*u**4 + 5/42*u**7 + 6*u + 0*u**5 + 0 + 0*u**6 + 0*u**3 + 0*u**2. What is the third derivative of i(s) wrt s?
300*s**2
Let u(v) be the second derivative of 13*v**5/10 - v**4/12 + 41*v**3/2 + 174*v. What is the second derivative of u(z) wrt z?
156*z - 2
Let v(y) be the third derivative of y**9/36 - 19*y**5/60 + 2*y**2 + 28*y. What is the third derivative of v(j) wrt j?
1680*j**3
Differentiate -23*y - y**3 - 24 + 43 - 24*y + 35 + 72 with respect to y.
-3*y**2 - 47
Let w be 6/39 - 4/26. Suppose -c + 2 - 1 = w. What is the first derivative of -3 + c - 9*l**2 - 8 wrt l?
-18*l
Let v(u) be the third derivative of -5/24*u**6 + 0*u - 16*u**2 + 0 + 0*u**5 + 1/24*u**4 + 0*u**3. What is the second derivative of v(o) wrt o?
-150*o
Find the second derivative of -12*r**2 + 2*r**4 + 4*r**2 + 11*r**2 + 546*r + 44*r**4 wrt r.
552*r**2 + 6
Let g(a) = -12*a**2 - 6*a - 3. Let j(s) = 4 - 2*s**2 + 10*s**2 + s**2 + 7*s + 3*s**2. Let u(x) = 4*g(x) + 3*j(x). What is the second derivative of u(l) wrt l?
-24
Suppose 0 = 4*d - 9*d - 2*t + 90, -20 = 4*t. What is the third derivative of d*a**2 - 2*a**2 - 7*a**2 + 2*a**4 wrt a?
48*a
Let y = 204 - 200. Let z(q) be the second derivative of 0 + 0*q**2 - 1/3*q**y - 2/3*q**3 - 3*q. What is the second derivative of z(m) wrt m?
-8
Let f(i) = 174*i**2 + 17*i - 25. Let s(n) = -172*n**2 - 15*n + 24. Let t(d) = 6*f(d) + 7*s(d). What is the second derivative of t(x) wrt x?
-320
Let g(w) = -113*w**2 + 66*w. Let o(y) = -6*y**2. Let m(x) = -2*g(x) - 18*o(x). Find the second derivative of m(v) wrt v.
668
Let b(m) = m**3 + 5*m**2 - m. Let t be b(-5). Find the second derivative of 4*l + t*l + 20*l**5 + 8*l wrt l.
400*l**3
Let f(u) = -603*u + 691. Let y(d) = 301*d - 346. Let c(v) = -3*f(v) - 5*y(v). What is the derivative of c(m) wrt m?
304
Let b(s) be the second derivative of 4*s**5 + 10*s**3/3 + 123*s. What is the second derivative of b(l) wrt l?
480*l
Let t(l) = 167*l**6 + 4*l**3 + 211*l**2 + 4*l + 4. Let r(i) = -i**6 - i**3 + i**2 - i - 1. Let d(a) = -4*r(a) - t(a). Find the third derivative of d(m) wrt m.
-19560*m**3
Suppose -5*u + 4*a = -0 - 20, 4*u + a = 16. Suppose 17 = 3*w + 11. Differentiate -z - w - u*z - 3*z with respect to z.
-8
Find the third derivative of 14*w + 146*w**5 + 12*w + 22*w - 74*w**5 - 3*w**2 wrt w.
4320*w**2
What is the third derivative of -18*i**2 - 70*i**4 - 94*i**2 - 92*i**2 + 0*i**2 wrt i?
-1680*i
Let v = 26 - 10. Suppose -a + v = 12. Differentiate -h**4 - 4 + h**a - 5*h**4 with respect to h.
-20*h**3
Let w(q) be the first derivative of -8*q**7/7 + 2*q**5/5 - 16*q**3/3 - 9. What is the third derivative of w(g) wrt g?
-960*g**3 + 48*g
Let p(m) = 5*m + 30. Let x be p(-6). Let l(o) be the first derivative of x*o**3 + 0*o + 2 + 7/2*o**2 - 5/4*o**4. Find the second derivative of l(s) wrt s.
-30*s
Let c = 9 + -9. Suppose 4*q = 12 - c. Differentiate 0 + 15*r**3 + 6 - 7*r**3 - 9*r**q with respect to r.
-3*r**2
Suppose -5*k - 5*m + 17 = -3*k, 3*k - 17 = m. What is the third derivative of 2*l**3 - k*l**5 - 2*l**3 - 14*l**2 - 4*l**5 wrt l?
-600*l**2
Let k(n) be the second derivative of -n**8/48 + n**5/5 + 7*n**2/2 - 8*n. Let p(g) be the first derivative of k(g). What is the third derivative of p(x) wrt x?
-420*x**2
Let l be 4/(-6)*(1 + (-69)/6). Let i = 2 - -2. What is the derivative of -1 - i*f**2 + 0 + 5*f**2 - l*f**2 wrt f?
-12*f
Let o(i) = 28*i**2 + 107. Let n(y) = -58*y**2 - 213. Let m(z) = 2*n(z) + 5*o(z). Differentiate m(h) with respect to h.
48*h
Let h(t) = t**3 + 6*t**2 - 1. Let l(z) = z**3 - z**2 + z. Let q(g) = h(g) - 3*l(g). What is the second derivative of q(c) wrt c?
-12*c + 18
Let y(k) be the first derivative of k**5/5 + k**4/2 - 2*k**2 - 7. Let l(p) = -p**3. Let n(b) = 2*l(b) + y(b). What is the second derivative of n(f) wrt f?
12*f**2
What is the second derivative of 888*b**4 + 33*b - 888*b**4 + 174*b**5 wrt b?
3480*b**3
Let i(l) be the first derivative of l**9/56 + l**5/15 - 3*l**2 - 14. Let t(h) be the second derivative of i(h). What is the third derivative of t(u) wrt u?
1080*u**3
Suppose 49 = d - 2*d. Let u be (-14)/d - (-24)/14. Differentiate 3*r**u + r - r + 3 + 0 with respect to r.
6*r
Let t(w) be the third derivative of w**7/252 + w**5/30 - w**4/4 - 10*w**2. Let u(v) be the second derivative of t(v). Differentiate u(p) with respect to p.
20*p
Let k(n) = n**3 + 6*n**2 + 3*n - 2. Let g be k(-5). What is the second derivative of -g*j + 0*j + 4*j**2 + 3*j wrt j?
8
What is the second derivative of -r + 7*r**2 + 89*r**5 - 310*r**5 - 10*r**2 + 3*r**2 wrt r?
-4420*r**3
Let y(h) = 6*h + 13. Let o(k) = 5*k + 13. Suppose 2*v + 3 + 18 = 5*q, 6 = -2*v. Let u(z) = q*y(z) - 2*o(z). What is the first derivative of u(w) wrt w?
8
Let l(f) = -90*f**6 - 125*f**2 + 12*f + 4. Let p(w) = 270*w**6 + 374*w**2 - 34*w - 11. Let i(d) = -17*l(d) - 6*p(d). Find the third derivative of i(b) wrt b.
-10800*b**3
What is the first derivative of 20*d - 202 + 4 - 33*d - 31*d - 12*d wrt d?
-56
Let g be (-1 + 0 - 0) + 14. Suppose 0 = -3*r - 1 + g. Find the second derivative of -24 - r*i + 7*i**3 + 24 wrt i.
42*i
Let f(c) be the second derivative of 2*c + 1/3*c**6 + 0*c**5 - 1 - 1/2*c**3 + 1/4*c**4 - 13/2*c**2. What is the second derivative of f(m) wrt m?
120*m**2 + 6
Let f = 55 + -53. Find the second derivative of -16*o - o**2 + 6*o**3 + 12*o**2 - 11*o**f wrt o.
36*o
Suppose 2*g + 38 = 2*f, -2*f - 2*g - 83 = -7*f. Find the second derivative of 7*o**5 - 5*o - 10*o - f*o**5 - 5*o**5 wrt o.
-260*o**3
Let u(d) = -240*d**3 + 2*d**2 + 257*d. Let y(q) = 238*q**3 - 2*q**2 - 258*q. Let z(v) = 2*u(v) + 3*y(v). Find the third derivative of z(s) wrt s.
1404
What is the second derivative of 29 + 125*h**5 + 8*h**5 - 50 + 48*h + 21 wrt h?
2660*h**3
Find the third derivative of -2203305*l**6 + l**5 + 862*l**2 - 207*l**2 + 2203157*l**6 wrt l.
-17760*l**3 + 60*l**2
Let j(c) = -c**2 + 10*c - 13. Let o be j(8). What is the second derivative of -2*v + 4*v**5 - o*v**5 + 15 - 2*v**5 wrt v?
-20*v**3
Find the second derivative of -299*z**5 - 17 + 540 + 358*z**3 - 358*z**3 + z wrt z.
-5980*z**3
Suppose -3*w = w + 5*l - 140, 3*w - 5*l = 70. What is the second derivative of 13*n**5 + w - 29*n - 12 - 18 wrt n?
260*n**3
Let p(j) be the third derivative of 133*j**6/60 - 167*j**5/60 + j**4/24 + 28*j**2 + 9*j. What is the third derivative of p(m) wrt m?
1596
Suppose 0 = 5*m - 304 - 426. What is the first derivative of 3 + 253*f**4 - 143*f**4 - m*f**4 wrt f?
-144*f**3
Let k(q) = -3*q - 32. Let t be k(-14). Differentiate -t*r**3 - 18*r**3 + 31 - 53 wrt r.
-84*r**2
Let d(z) be the first derivative of -4*z**6/3 + z**3/3 + 31*z**2 + 256. Find the second derivative of d(i) wrt i.
-160*i**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
, -2, 4
Put -8, -4, 4, 3 in decreasing order.
4, 3, -4, -8
Put 47, 27, 2 in decreasing order.
47, 27, 2
Sort -101, 1/4, -6 in descending order.
1/4, -6, -101
Put 4, -9, -5, -18 in descending order.
4, -5, -9, -18
Sort -3, -1, 95 in increasing order.
-3, -1, 95
Sort -0.2, -5, 4, -84.
-84, -5, -0.2, 4
Sort -99, 0, 52, 2 in increasing order.
-99, 0, 2, 52
Sort 33, 1, -5, -4.
-5, -4, 1, 33
Sort 4, 2, 0, 20 in decreasing order.
20, 4, 2, 0
Put -43, 7, -17 in descending order.
7, -17, -43
Put -3, 80, -4, -2 in descending order.
80, -2, -3, -4
Sort 2, 16, 4 in decreasing order.
16, 4, 2
Sort 2, -3, 0.4, -0.3, -36/23.
-3, -36/23, -0.3, 0.4, 2
Put -103/5, 0.2, -3/2, -1/3 in ascending order.
-103/5, -3/2, -1/3, 0.2
Put 14, -4/9, 4 in increasing order.
-4/9, 4, 14
Sort 1, 5, 4, -4, -2 in decreasing order.
5, 4, 1, -2, -4
Sort 4, 10.6, -4/3 in increasing order.
-4/3, 4, 10.6
Sort 0.32, -1/6, 0.3 in increasing order.
-1/6, 0.3, 0.32
Put 9, -11, 3 in decreasing order.
9, 3, -11
Sort 1, -2, 1/8, -0.5 in descending order.
1, 1/8, -0.5, -2
Sort -2/7, 4, -0.059, -2/17 in descending order.
4, -0.059, -2/17, -2/7
Put -246, -6, 4, 1 in decreasing order.
4, 1, -6, -246
Sort -3, -1/9, -5/6.
-3, -5/6, -1/9
Sort -0.11, -2, 0.4, 20.
-2, -0.11, 0.4, 20
Sort -0.01, 141, 4, 3, -5 in decreasing order.
141, 4, 3, -0.01, -5
Sort 124, -2, 5, -5, 3 in decreasing order.
124, 5, 3, -2, -5
Sort 4, -167, 7, 5.
-167, 4, 5, 7
Put -17, 22, 5 in decreasing order.
22, 5, -17
Sort -3/2, 0, -1/6, -0.09.
-3/2, -1/6, -0.09, 0
Sort -7, 59, -5, -2, 2 in descending order.
59, 2, -2, -5, -7
Sort 4, -30, -2, 3 in descending order.
4, 3, -2, -30
Sort 1/2, -14, -3, -16 in descending order.
1/2, -3, -14, -16
Sort 1/13, -5, 0.2, 4, 0.
-5, 0, 1/13, 0.2, 4
Put 25, -3, 7, 2, -1 in decreasing order.
25, 7, 2, -1, -3
Sort -1, 24, 2, 1/7.
-1, 1/7, 2, 24
Put 286, 2, 0, -5 in increasing order.
-5, 0, 2, 286
Sort 0, -5, 21, 5, -4 in increasing order.
-5, -4, 0, 5, 21
Sort -2/13, 508, -2/11.
-2/11, -2/13, 508
Sort 3, 5, 2, -3, -55 in decreasing order.
5, 3, 2, -3, -55
Sort -3, -1/4, 34, 0.05, 0 in increasing order.
-3, -1/4, 0, 0.05, 34
Sort -2, -3.6, 1/7 in increasing order.
-3.6, -2, 1/7
Sort 1, 0, 8, 4.
0, 1, 4, 8
Put -4, 0, 2, -8 in ascending order.
-8, -4, 0, 2
Put 2/13, -1/7, 6/13, 2/135, 2 in ascending order.
-1/7, 2/135, 2/13, 6/13, 2
Put -3, -1/4, -1/5, 5, -1/3 in descending order.
5, -1/5, -1/4, -1/3, -3
Put 1/4, 0.07, 40 in descending order.
40, 1/4, 0.07
Sort -3/91, -3, 0.3 in decreasing order.
0.3, -3/91, -3
Sort 1, -3, 10, 0, 4 in descending order.
10, 4, 1, 0, -3
Sort -4, -51, -2, 1.
-51, -4, -2, 1
Put 1, 3/2, -1/9, -4/3 in ascending order.
-4/3, -1/9, 1, 3/2
Put -0.4, 24, 0.5, -0.1 in decreasing order.
24, 0.5, -0.1, -0.4
Sort -5, 2, -3 in decreasing order.
2, -3, -5
Put -1, 10, -191 in increasing order.
-191, -1, 10
Sort -1/10, -13.8, 0.4 in ascending order.
-13.8, -1/10, 0.4
Put 0, -3, -4, 4 in decreasing order.
4, 0, -3, -4
Put 4, 0, 1, -227 in descending order.
4, 1, 0, -227
Put -4, -1, -327 in descending order.
-1, -4, -327
Put -2, 2, 4, -27 in ascending order.
-27, -2, 2, 4
Put -4/3, -5/3, -5 in descending order.
-4/3, -5/3, -5
Put -4, -0.1, 3, -2.7 in decreasing order.
3, -0.1, -2.7, -4
Sort 5, -1046, -4, -3.
-1046, -4, -3, 5
Sort -19, 5, 168, 3, -3 in decreasing order.
168, 5, 3, -3, -19
Put 1, -57, -1 in increasing order.
-57, -1, 1
Sort 2/15, -0.4, 0.1, -0.7 in descending order.
2/15, 0.1, -0.4, -0.7
Sort -5, 858, 4, -3, -1 in increasing order.
-5, -3, -1, 4, 858
Sort 0, 0.4, 1/6, -533.
-533, 0, 1/6, 0.4
Put -4, -2, 514 in increasing order.
-4, -2, 514
Sort 0.13, -3, 2/9, -0.05 in ascending order.
-3, -0.05, 0.13, 2/9
Sort 9, 2, -1 in decreasing order.
9, 2, -1
Sort -3, 21, 4, 10 in descending order.
21, 10, 4, -3
Put 2, -4, -5, -7 in decreasing order.
2, -4, -5, -7
Sort -2, -5, 0.4, -36/5.
-36/5, -5, -2, 0.4
Put -4, 5, 69 in increasing order.
-4, 5, 69
Put -2, -41, -3, 5, 1 in increasing order.
-41, -3, -2, 1, 5
Sort -1, -20/9, -0.1, 0, -2/9 in descending order.
0, -0.1, -2/9, -1, -20/9
Put 5, -13, -62, -1 in descending order.
5, -1, -13, -62
Sort 6, -6, 9 in decreasing order.
9, 6, -6
Sort 0, 22, 15, 5, -2 in decreasing order.
22, 15, 5, 0, -2
Put 6, -9, 0, 2 in ascending order.
-9, 0, 2, 6
Sort -26, -5, -70 in decreasing order.
-5, -26, -70
Sort 7, 29, -1/3 in descending order.
29, 7, -1/3
Sort 1/2, -0.4, 49/6, 6/7 in increasing order.
-0.4, 1/2, 6/7, 49/6
Put 106/5, 0.4, 0, 2/3 in ascending order.
0, 0.4, 2/3, 106/5
Sort 67, 0, 3 in decreasing order.
67, 3, 0
Sort -3, 6, -5, 3 in increasing order.
-5, -3, 3, 6
Put -5, 0, -0.13 in descending order.
0, -0.13, -5
Sort -3, 9, -1 in decreasing order.
9, -1, -3
Sort 5, -2/7, 1, 17 in decreasing order.
17, 5, 1, -2/7
Sort -20, 3, -0.4 in descending order.
3, -0.4, -20
Sort -28, 0, 2, -399 in decreasing order.
2, 0, -28, -399
Sort 0.3, -1, 5, 4/47.
-1, 4/47, 0.3, 5
Put 0.1, -21, -0.3, 5 in ascending order.
-21, -0.3, 0.1, 5
Put -8, -5, 1, -2 in increasing order.
-8, -5, -2, 1
Sort -5, 3, 7, -2 in increasing order.
-5, -2, 3, 7
Put 8, -1, 0, 1 in ascending order.
-1, 0, 1, 8
Sort 19, -273, 1 in decreasing order.
19, 1, -273
Put 24, -3, -56 in decreasing order.
24, -3, -56
Sort 23, -1.3, -2, 8 in decreasing order.
23, 8, -1.3, -2
Put 0, 61, 31, 5, -3 in decreasing order.
61, 31, 5, 0, -3
Put -2, -26, 0, -6 in decreasing order.
0, -2, -6, -26
Put 2, -4, -3, 990 in increasing order.
-4, -3, 2, 990
Sort -4, 1, -55, -3 in descending order.
1, -3, -4, -55
Sort -1, -4, 75, 1 in descending order.
75, 1, -1, -4
Sort -4, 0, 5.
-4, 0, 5
Sort -4, 0, 106/5 in increasing order.
-4, 0, 106/5
Put 5, -31, 4 in descending order.
5, 4, -31
Sort 2, 3, 62.
2, 3, 62
Sort 5, -2/7, 562 in decreasing order.
562, 5, -2/7
Sort -0.5, -2, -1, -0.3, -591.
-591, -2, -1, -0.5, -0.3
Sort -0.05, 0.3, -35.
-35, -0.05, 0.3
Put -20, -1, -2, 6 in decreasing order.
6, -1, -2, -20
Sort -1, -6, -4, 7.
-6, -4, -1, 7
Put -3/7, 162, -3, 3/8, 2 in decreasing order.
162, 2, 3/8, -3/7, -3
Put 4, 0.4, 0.3, 1 in ascending order.
0.3, 0.4, 1, 4
Put 7, 2, -11, 3, 1/7 in increasing order.
-11, 1/7, 2, 3, 7
Sort 2, -33, -10 in decreasing order.
2, -10, -33
Put 4, -3, -22, -1 in descending order.
4, -1, -3, -22
Sort -5, -22, -4, 1 in decreasing order.
1, -4, -5, -22
Put 2/5, 0, 2, -3 in ascending order.
-3, 0, 2/5, 2
Put -4, 2, -5, -107, 4 in ascending order.
-107, -5, -4, 2, 4
Sort 3/4, -31, 4.
-31, 3/4, 4
Sort 6/11, 0.2, -12 in decreasing order.
6/11, 0.2, -12
Sort -0.5, -0.1, -0.16 in increasing order.
-0.5, -0.16, -0.1
Sort 1, 3, -1/82.
-1/82, 1, 3
Put 0.5, -75, -2/5, -1.3, 1/4 in ascending order.
-75, -1.3, -2/5, 1/4, 0.5
Put -29, 4, -5 in ascending order.
-29, -5, 4
Sort -0.3795, 2/21, 0.5, -2/9 in ascending order.
-0.3795, -2/9, 2/21, 0.5
Sort 14, -5, 4 in descending order.
14, 4, -5
Sort -0.3, 15, 0 in increasing order.
-0.3, 0, 15
Sort 0.5, -1/5, -1/26, 3 in increasing order.
-1/5, -1/26, 0.5, 3
Put -58, 4, -1 in ascending order.
-58, -1, 4
Sort -156, 1/3, 3 in decreasing order.
3, 1/3, -156
Sort -1, 26, 5, -3 in increasing order.
-3, -1, 5, 26
Put 0, 3, -2226 in decreasing order.
3, 0, -2226
Put 2/11, -2, -2/21, -1.6, -0.2 in descending order.
2/11, -2/21, -0.2, -1.6, -2
Put -1/8, -4/15, 1/4, 0.3 in decreasing order.
0.3, 1/4, -1/8, -4/15
Put 8, 2, 6 in descending order.
8, 6, 2
Sort -1/2, -0.3, -740/17 in increasing order.
-740/17, -1/2, -0.3
Sort -1, 2/43, 0.4, -0.4.
-1, -0.4, 2/43, 0.4
Put 5, -3, -12, -4 in descending order.
5, -3, -4, -12
Sort 2/199, 0.3, -0.2, 21 in increasing order.
-0.2, 2/199, 0.3, 21
Sort 29, 3, 4, -3 in ascending order.
-3, 3, 4, 29
Sort 9, -10, -5 in increasing order.
-10, -5, 9
Put 3, 9, 4, 996 in decreasing order.
996, 9, 4, 3
Put -18, -0.1, -0.5, -3 in decreasing order.
-0.1, -0.5, -3, -18
Sort -5, 27, 4.
-5, 4, 27
Sort 0, -5, 9, -4, 4 in ascending order.
-5, -4, 0, 4, 9
Put 52, -3, -1 in increasing order.
-3, -1, 52
Sort 2, 2/3, -1, 428 in decreasing order.
428, 2, 2/3, -1
Sort 0, 5/2, 15, 1/6, -1.
-1, 0, 1/6, 5/2, 15
Put 2/9, 5, -107/5 in decreasing order.
5, 2/9, -107/5
Sort 4, -4, -1.3, -5.
-5, -4, -1.3, 4
Put -37, 4, -4, 3 in decreasing order.
4, 3, -4, -37
Sort -2, 36, 4, 3, 1 in increasing order.
-2, 1, 3, 4, 36
Sort 0, -2, -5 in decreasi
|
{
"pile_set_name": "DM Mathematics"
}
|
1 - 2 = 0.
-1/4, 1
Let t(q) = 2*q**3 - 12*q**2 + q - 1. Let s be t(6). Let y(n) be the first derivative of 18/5*n + s - 6/5*n**2 + 2/15*n**3. Factor y(o).
2*(o - 3)**2/5
Suppose -9 - 6 = z. Let c = 33/2 + z. Let -9/2*p + 0 - c*p**2 = 0. What is p?
-3, 0
Let h be ((-72)/70)/(75/(-175)). Factor -8/5*v**2 + 0 + 2/5*v + 2/5*v**5 + h*v**3 - 8/5*v**4.
2*v*(v - 1)**4/5
Let m(o) be the first derivative of 361*o**4/6 - 304*o**3/9 + 16*o**2/3 - 111. Factor m(u).
2*u*(19*u - 4)**2/3
Let i = -92 - -89. Let k be (3 + i)*(0 - 1). Factor -8/9*m**4 + 0*m - 2/9*m**5 - 8/9*m**3 + k + 0*m**2.
-2*m**3*(m + 2)**2/9
Factor -1/5*h**5 - 6859/5 + 2527*h - 11*h**4 - 950*h**2 - 194*h**3.
-(h - 1)**2*(h + 19)**3/5
Let -106/11*y + 4 - 10/11*y**2 = 0. What is y?
-11, 2/5
Let g be (-7 - (-27 + -6))/2 - 11. Factor 3/2*i**g + 0 + 0*i.
3*i**2/2
Suppose 265*k + 127 = -13*k + 1239. Determine b, given that 1/7*b**3 + 0*b + 0 - 1/7*b**k + 2/7*b**2 = 0.
-1, 0, 2
Let f = 16 + -11. Suppose 0 = -p + f*p - 8. What is o in 2 - 3*o**2 - 3*o + 3*o**3 + 4 - 3*o**p = 0?
-1, 1, 2
Let v(c) = -c**3 + 5*c**2 + 8*c - 9. Let b be v(6). Let y be (-3 - (-9)/b)/(-1). Factor -1/2*s**4 + y*s - 1/2*s**2 - s**3 + 0.
-s**2*(s + 1)**2/2
Let f(u) be the third derivative of -u**8/728 - 29*u**7/1365 - 49*u**6/390 - 21*u**5/65 - 9*u**4/52 + 9*u**3/13 - u**2 - u. Find t such that f(t) = 0.
-3, -1, 1/3
Let d(p) = 5 - 15 - p + 4. Let w be d(-8). Factor f**5 - 79*f**3 + 79*f**3 - w*f**5 - 2*f**4.
-f**4*(f + 2)
Solve 0 - 2/3*v**4 + 8/3*v**3 + 4*v + 22/3*v**2 = 0.
-1, 0, 6
Let y be ((-16)/156)/(18/3591). Let i = y + 2174/91. Factor i*k + 36/7 + 4/7*k**2.
4*(k + 3)**2/7
Let i(j) be the first derivative of 4*j - 2/3*j**3 - j**2 - 2. Factor i(z).
-2*(z - 1)*(z + 2)
Let o(f) = f**2 + 9*f + 6. Let x be o(-9). Let s be 1/(x/(-4) + 2). Suppose -3*y**2 + 8*y**2 + 6*y + 10*y**s + 3*y**4 + 6*y**3 + 6*y**3 = 0. Calculate y.
-2, -1, 0
Let m(k) = -5*k**4 - 26*k**3 - 304*k**2 - 1000*k + 4. Let l(r) = 14*r**4 + 79*r**3 + 911*r**2 + 3000*r - 11. Let i(x) = -4*l(x) - 11*m(x). Factor i(b).
-b*(b + 10)**3
Let 9/4*i**2 + 3/4*i + 3/4*i**4 + 0 + 9/4*i**3 = 0. What is i?
-1, 0
Suppose -74*u + 78 = -48*u. Suppose -4/13*y**u + 14/13*y**2 - 14/13*y + 4/13 = 0. What is y?
1/2, 1, 2
Let l(m) be the second derivative of -m**5/10 - 8*m**4/3 - 49*m**3/3 + 66*m**2 - 2*m - 400. Factor l(w).
-2*(w - 1)*(w + 6)*(w + 11)
Let y be ((-4)/(-132))/(2/142). Let x = y - 20/11. Factor 0*n - x*n**2 + 1/3.
-(n - 1)*(n + 1)/3
Let y(f) be the second derivative of f**4/48 - 19*f**3/6 + 361*f**2/2 + 3*f + 41. Solve y(m) = 0.
38
Factor -1/6*i**4 - 1/2*i**3 + 0 + 0*i**2 + 2/3*i.
-i*(i - 1)*(i + 2)**2/6
Let k(g) be the third derivative of -g**8/560 - 13*g**7/1050 - g**6/75 + g**5/25 - 51*g**2 - 1. Determine s so that k(s) = 0.
-3, -2, 0, 2/3
Let h be 222/(-2)*(-20)/(-30). Let w = h - -75. Find f, given that f - 1/4*f**2 - w = 0.
2
Suppose 0*k = -2*k + 2. Suppose 0 = -4*m + 5*y + 20, 5*m + 4*y - k = -17. Find u such that -2/3*u**2 - 14/3*u**4 - 2*u**5 + m + 0*u - 10/3*u**3 = 0.
-1, -1/3, 0
Let z(o) be the second derivative of -o**4/4 + 109*o**3/2 + 165*o**2 - 144*o + 3. Determine y, given that z(y) = 0.
-1, 110
Let u = -3883 - -3886. Factor 10/21*r**u - 4/21*r**2 + 0*r + 0.
2*r**2*(5*r - 2)/21
Factor f**4 - 337*f**2 - 4*f + 2*f**3 + 5*f**4 + 2*f**5 + 331*f**2.
2*f*(f - 1)*(f + 1)**2*(f + 2)
Let l be (-1 - 1)/(-2)*2. Let u = 15325/4 + -3831. Factor -u + 1/4*k**l + 0*k.
(k - 1)*(k + 1)/4
Let p = -12820 - -12820. Factor 2/15*a**5 + 0 - 2/5*a**3 + p*a**4 + 0*a + 4/15*a**2.
2*a**2*(a - 1)**2*(a + 2)/15
Let o be ((23625/120)/21)/(2/24). Factor -3/2*l**3 - 45/2*l**2 - 375/2 - o*l.
-3*(l + 5)**3/2
Let o be (-1)/(-15) - 440/6600. Factor 4/5*j**4 + 0*j + 4*j**2 - 24/5*j**3 + o.
4*j**2*(j - 5)*(j - 1)/5
Let x(j) be the third derivative of 4*j**2 + 3/2*j**5 + 7/3*j**4 + 0*j + 0 + 4/3*j**3 - 7/15*j**6 - 7/15*j**7. Solve x(r) = 0 for r.
-1, -2/7, 1
Let p(r) be the second derivative of -r**7/189 + r**6/27 + r**5/15 - 16*r**4/27 - 32*r**3/27 - 9*r + 2. Find d, given that p(d) = 0.
-2, -1, 0, 4
Let t(c) = c**3 + 5*c**2 + 4*c + 2. Let h be t(-4). Suppose -6 = -h*x - 0. Determine k, given that -3*k**2 + 3*k**3 - k**2 + 3*k**x - 2*k**3 = 0.
0, 1
Let y(j) = -4*j - 25. Let r be y(-6). Let i be -3 - ((-12)/4 + 6/r). Suppose -i*v - 2*v**2 - 6 - 2/9*v**3 = 0. What is v?
-3
Let y(m) be the second derivative of 2*m**2 + 0 - 1/540*m**6 - 1/27*m**3 + 1/108*m**4 + 1/270*m**5 + 7*m. Let j(z) be the first derivative of y(z). Factor j(r).
-2*(r - 1)**2*(r + 1)/9
Determine o, given that 4/9*o - 2/3*o**2 + 2/9*o**3 + 0 = 0.
0, 1, 2
Let b(z) be the second derivative of z**6/15 - 28*z**5/5 + 109*z**4/6 - 18*z**3 + z + 3. Factor b(v).
2*v*(v - 54)*(v - 1)**2
Let k be (12/54 + (-17)/36)*288/(-20). Factor k*o**2 - 3/5*o**3 - 27/5*o + 0.
-3*o*(o - 3)**2/5
Let u(x) be the third derivative of -x**6/30 - x**5/3 - 2*x**4/3 - 515*x**2. Factor u(f).
-4*f*(f + 1)*(f + 4)
Suppose -5*j + 6 = 2*a + 2, 3*j = 4*a - 8. Let g(c) be the third derivative of 2/33*c**3 - 5/132*c**4 - 1/660*c**6 + 0 + 3*c**a + 0*c + 2/165*c**5. Factor g(m).
-2*(m - 2)*(m - 1)**2/11
Find k such that 4*k**4 + 2/3*k**5 + 2*k**3 - 16*k + 0 - 52/3*k**2 = 0.
-4, -3, -1, 0, 2
Let a be (-18)/(-63)*(2 - 1). Let n(q) = -q - 3. Let l be n(-3). Factor 0 + a*y**3 - 2/7*y**2 + l*y.
2*y**2*(y - 1)/7
Find x such that 0 - 16/5*x**2 - 12/5*x - 4/5*x**3 = 0.
-3, -1, 0
Let j be -3 - (-5 + (-3)/(-1)). Let v = 0 - j. Factor y**5 - v + 1 - 3*y**5.
-2*y**5
Let c(o) be the second derivative of -3*o**5/20 + 2*o**4 + 45*o**3/2 + 54*o**2 - 284*o. Solve c(x) = 0 for x.
-3, -1, 12
Suppose -24 = -56*d + 50*d. Find z such that -2*z + 2/11*z**d - 18/11*z**2 - 8/11 - 2/11*z**3 = 0.
-1, 4
Suppose 43 + 11 = 6*o. Let g be (1/4)/(o - 8). Factor 0*m + g*m**4 + 1/4*m**5 - 1/4*m**3 - 1/4*m**2 + 0.
m**2*(m - 1)*(m + 1)**2/4
Find v such that 56*v**3 + 2472*v - v**4 - 396*v**2 - 1331 - 30*v**3 + 8*v**3 - 778*v = 0.
1, 11
Let n be ((-3)/(-9))/((-1)/(-9)). Suppose 0*h + 12 = n*h + 4*t, 0 = -t. Solve 5*j**4 - 3*j**h + j**3 - 3*j**5 + j**5 + 3*j**5 = 0 for j.
-1, 0
Factor -1618*d + 629*d + 2187 - 28*d**3 - 140*d**3 - 906*d + 3*d**4 + 2514*d**2 - 2641*d.
3*(d - 27)**2*(d - 1)**2
Let j = 107 + -103. Let k(p) be the second derivative of -11/4*p**j + 3/10*p**6 - 6*p**2 + 1/14*p**7 + 5*p - 6*p**3 - 3/20*p**5 + 0. Factor k(l).
3*(l - 2)*(l + 1)**3*(l + 2)
Let c = -2/9673 + 19356/48365. Let m be (2/30)/((-2)/(-8)). Factor 2/15*o**2 - c*o + m.
2*(o - 2)*(o - 1)/15
Let x(w) be the first derivative of 8*w**3/63 + 12*w**2/7 + 54*w/7 + 19. Suppose x(a) = 0. Calculate a.
-9/2
Let v(n) be the first derivative of 0*n**2 + 0*n**3 + 37 - 9/8*n**4 + 6/5*n**5 + 0*n - 1/4*n**6. Factor v(b).
-3*b**3*(b - 3)*(b - 1)/2
Let t(q) be the third derivative of 1/30*q**5 + 5/12*q**4 + 0*q + 0 + 4*q**2 + 0*q**3. Factor t(n).
2*n*(n + 5)
Suppose 4*z - z = 0. Let f = 4808 + -4804. Factor 2/7*r**f + 0*r**2 + 0 - 2/7*r**3 + z*r.
2*r**3*(r - 1)/7
Suppose 10*n - 124 = 8*n. Let b be (-2)/10 + (-3 - n/(-10)). Factor -2/11*v**b - 2/11*v + 4/11*v**2 + 0.
-2*v*(v - 1)**2/11
Let w(d) = 9*d**5 - 33*d**4 - 196*d**3 - 501*d**2 - 450*d - 125. Let a(n) = n**5 - n**2. Let p(o) = 22*a(o) - 2*w(o). Find g, given that p(g) = 0.
-5, -1, -1/2
Let k(c) be the first derivative of 6 - 1/6*c + 0*c**2 + 1/18*c**3. Factor k(t).
(t - 1)*(t + 1)/6
Let o(b) be the first derivative of -b**3/3 + b**2 + 15*b + 18. Suppose o(p) = 0. Calculate p.
-3, 5
Let t(w) be the second derivative of -w**6/120 - 9*w**5/80 - w**4/2 - 5*w**3/6 - 6*w + 22. Let t(b) = 0. What is b?
-5, -2, 0
Let l(j) be the second derivative of j**5/50 + 9*j**2/2 + 9*j. Let n(q) be the first derivative of l(q). Let n(v) = 0. Calculate v.
0
Factor -1/4*s**3 - 19 - 37/2*s**2 + 151/4*s.
-(s - 1)**2*(s + 76)/4
Suppose -51 = -4*g - c - 2*c, -g + 17 = 5*c. Let y be (g/(-16))/(6/(-16)). Find x, given that 0*x + 2/3*x**y - 2/3 = 0.
-1, 1
Let n = -85 - -96. Suppose -18*t = -n*t. Solve 1/2*y**4 + 0*y + 0*y**2 + t - 1/2*y**3 = 0.
0, 1
Let n(m) = 5*m**4 + 4*m**5 - 43*m**2 + 43*m**2 - 5 - 9*m**3. Let u(c) = 12*c**5 + 16*c**4 - 28*c**3 - 16. Let r(k) = -16*n(k) + 5*u(k). Solve r(y) = 0 for y.
-1, 0, 1
Let f(p) = p + 6. Let a be f(5). Factor 4*t**4 + 18*t + a*t**4 - 140*t**3 - 57*t**2 + 164*t**3.
3
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest integer?
75
What is the fifth root of 608 to the nearest integer?
4
What is 1217 to the power of 1/3, to the nearest integer?
11
What is 947 to the power of 1/10, to the nearest integer?
2
What is 1166 to the power of 1/2, to the nearest integer?
34
What is 6136 to the power of 1/2, to the nearest integer?
78
What is the third root of 9473 to the nearest integer?
21
What is the eighth root of 2155 to the nearest integer?
3
What is the seventh root of 10890 to the nearest integer?
4
What is the tenth root of 15891 to the nearest integer?
3
What is the eighth root of 2776 to the nearest integer?
3
What is the eighth root of 2747 to the nearest integer?
3
What is the cube root of 25 to the nearest integer?
3
What is 3154 to the power of 1/9, to the nearest integer?
2
What is 14897 to the power of 1/10, to the nearest integer?
3
What is 2191 to the power of 1/3, to the nearest integer?
13
What is the seventh root of 11187 to the nearest integer?
4
What is the third root of 20245 to the nearest integer?
27
What is 201103 to the power of 1/4, to the nearest integer?
21
What is the third root of 1071 to the nearest integer?
10
What is 810 to the power of 1/9, to the nearest integer?
2
What is 12411 to the power of 1/5, to the nearest integer?
7
What is 8791 to the power of 1/8, to the nearest integer?
3
What is the third root of 4404 to the nearest integer?
16
What is the cube root of 4800 to the nearest integer?
17
What is the third root of 2714 to the nearest integer?
14
What is 1634 to the power of 1/7, to the nearest integer?
3
What is 12435 to the power of 1/3, to the nearest integer?
23
What is 123955 to the power of 1/3, to the nearest integer?
50
What is the third root of 558 to the nearest integer?
8
What is the sixth root of 13200 to the nearest integer?
5
What is the eighth root of 4392 to the nearest integer?
3
What is 10478 to the power of 1/4, to the nearest integer?
10
What is 1558 to the power of 1/2, to the nearest integer?
39
What is 132010 to the power of 1/6, to the nearest integer?
7
What is the square root of 8857 to the nearest integer?
94
What is 82326 to the power of 1/2, to the nearest integer?
287
What is the third root of 14005 to the nearest integer?
24
What is the cube root of 16183 to the nearest integer?
25
What is 4753 to the power of 1/7, to the nearest integer?
3
What is 22095 to the power of 1/2, to the nearest integer?
149
What is 2096 to the power of 1/2, to the nearest integer?
46
What is 3918 to the power of 1/8, to the nearest integer?
3
What is the square root of 17130 to the nearest integer?
131
What is 11516 to the power of 1/4, to the nearest integer?
10
What is 17874 to the power of 1/3, to the nearest integer?
26
What is the fifth root of 9107 to the nearest integer?
6
What is the square root of 30699 to the nearest integer?
175
What is the ninth root of 1043 to the nearest integer?
2
What is the seventh root of 97184 to the nearest integer?
5
What is the cube root of 5922 to the nearest integer?
18
What is the cube root of 74 to the nearest integer?
4
What is 66741 to the power of 1/4, to the nearest integer?
16
What is the ninth root of 5942 to the nearest integer?
3
What is the seventh root of 131599 to the nearest integer?
5
What is the eighth root of 8007 to the nearest integer?
3
What is the third root of 24530 to the nearest integer?
29
What is the tenth root of 5163 to the nearest integer?
2
What is 56546 to the power of 1/2, to the nearest integer?
238
What is 4409 to the power of 1/8, to the nearest integer?
3
What is 95 to the power of 1/9, to the nearest integer?
2
What is 1497 to the power of 1/2, to the nearest integer?
39
What is the seventh root of 192 to the nearest integer?
2
What is the third root of 13756 to the nearest integer?
24
What is 10602 to the power of 1/2, to the nearest integer?
103
What is the square root of 4977 to the nearest integer?
71
What is 14201 to the power of 1/7, to the nearest integer?
4
What is 33940 to the power of 1/10, to the nearest integer?
3
What is the cube root of 4416 to the nearest integer?
16
What is the cube root of 525 to the nearest integer?
8
What is 2736 to the power of 1/2, to the nearest integer?
52
What is 459 to the power of 1/5, to the nearest integer?
3
What is the fifth root of 15249 to the nearest integer?
7
What is 1282 to the power of 1/4, to the nearest integer?
6
What is 694 to the power of 1/2, to the nearest integer?
26
What is 68396 to the power of 1/10, to the nearest integer?
3
What is the square root of 215 to the nearest integer?
15
What is the square root of 53 to the nearest integer?
7
What is the third root of 128615 to the nearest integer?
50
What is 29827 to the power of 1/2, to the nearest integer?
173
What is 401 to the power of 1/8, to the nearest integer?
2
What is 1629 to the power of 1/3, to the nearest integer?
12
What is the square root of 1916 to the nearest integer?
44
What is 2158 to the power of 1/7, to the nearest integer?
3
What is 681 to the power of 1/2, to the nearest integer?
26
What is 5098 to the power of 1/9, to the nearest integer?
3
What is the fourth root of 800 to the nearest integer?
5
What is 2031 to the power of 1/8, to the nearest integer?
3
What is 730 to the power of 1/3, to the nearest integer?
9
What is the third root of 5457 to the nearest integer?
18
What is the fifth root of 7821 to the nearest integer?
6
What is the eighth root of 55415 to the nearest integer?
4
What is the eighth root of 1722 to the nearest integer?
3
What is the cube root of 140071 to the nearest integer?
52
What is 1146 to the power of 1/3, to the nearest integer?
10
What is the third root of 3354 to the nearest integer?
15
What is the fourth root of 10465 to the nearest integer?
10
What is the cube root of 17188 to the nearest integer?
26
What is 81831 to the power of 1/9, to the nearest integer?
4
What is the third root of 31128 to the nearest integer?
31
What is the third root of 17764 to the nearest integer?
26
What is the cube root of 2056 to the nearest integer?
13
What is 924 to the power of 1/2, to the nearest integer?
30
What is the sixth root of 27982 to the nearest integer?
6
What is 10883 to the power of 1/2, to the nearest integer?
104
What is 14981 to the power of 1/5, to the nearest integer?
7
What is 69334 to the power of 1/8, to the nearest integer?
4
What is the third root of 220 to the nearest integer?
6
What is the cube root of 21256 to the nearest integer?
28
What is 344 to the power of 1/7, to the nearest integer?
2
What is the square root of 24328 to the nearest integer?
156
What is the cube root of 62075 to the nearest integer?
40
What is 4252 to the power of 1/6, to the nearest integer?
4
What is 1499 to the power of 1/10, to the nearest integer?
2
What is the cube root of 742 to the nearest integer?
9
What is the third root of 2953 to the nearest integer?
14
What is 5285 to the power of 1/2, to the nearest integer?
73
What is 3750 to the power of 1/3, to the nearest integer?
16
What is 1127 to the power of 1/3, to the nearest integer?
10
What is the square root of 42373 to the nearest integer?
206
What is the square root of 9019 to the nearest integer?
95
What is 4222 to the power of 1/2, to the nearest integer?
65
What is 754 to the power of 1/3, to the nearest integer?
9
What is 19515 to the power of 1/10, to the nearest integer?
3
What is 4591 to the power of 1/4, to the nearest integer?
8
What is 1700 to the power of 1/3, to the nearest integer?
12
What is the third root of 1769 to the nearest integer?
12
What is the cube root of 1641 to the nearest integer?
12
What is 94 to the power of 1/2, to the nearest integer?
10
What is 1576 to the power of 1/2, to the nearest integer?
40
What is the cube root of 4568 to the nearest integer?
17
What is the square root of 106015 to the nearest integer?
326
What is 3075 to the power of 1/2, to the nearest integer?
55
What is the square root of 1603 to the nearest integer?
40
What is 29255 to the power of 1/2, to the nearest integer?
171
What is the third root of 1532 to the nearest integer?
12
What is the fourth root of 913 to the nearest integer?
5
What is 358 to the power of 1/3, to the nearest integer?
7
What is the ninth root
|
{
"pile_set_name": "DM Mathematics"
}
|
21?
False
Let p = 0.4 + 0. Let g = p + -0.395. Let x = -943 - -943. Which is bigger: x or g?
g
Let f be 10/8*(119 - -1*1). Let v(r) = -14*r + 10. Let j be v(-10). Is f at most as big as j?
True
Suppose 9*t - 10113 - 5217 = -12*t. Which is smaller: 2925/4 or t?
t
Let o = 259897746 - 1223858464602/4709. Let v = o + -77/17. Let r = v - -839/2216. Is r <= -1?
False
Let s be -1 + 1 - (-24)/48. Let n = -0.00751 + 24.07751. Let m = 24 - n. Does m = s?
False
Suppose 0 = 96*n - 105*n + 990. Suppose -n*l + 107*l = -1053. Is 351 at most l?
True
Let k = 58 + -61. Let p be (k - -5)*5/10. Which is greater: p or 4/97?
p
Let w = -5985 + 5983. Let v be (-11)/(-9) + (-6)/27. Let q = v + -2. Which is smaller: q or w?
w
Let z(v) = 22*v + 355. Let i(h) = -7*h - 118. Let t(r) = -11*i(r) - 4*z(r). Let d be t(-11). Is d less than -1/143?
True
Let k = -36643/2651 - -1/241. Which is smaller: k or -14?
-14
Suppose 5*f - 29 = -n, f - 17 = -4*f + 2*n. Suppose f*h = 3*h + 1086. Let w = h + -2724/5. Is -1 equal to w?
False
Let i = -26 - -26. Suppose i = 2*a + 8 - 16. Suppose 6*l = 10*l + 25*l. Are l and a equal?
False
Suppose 585 = -c + 16*c. Suppose -88*k + 2007 = -1425. Is k at least as big as c?
True
Let y(l) = -l - 66. Let n be y(0). Let f be n/10 + (-8)/20. Let g = 77959 - 77967. Which is smaller: f or g?
g
Let c = -4134 + 144679/35. Let y = c + 3/5. Suppose 5*s + 30 = -5*t, 34 = s - t + 30. Which is bigger: s or y?
y
Let s = 25989/35 - 5209/7. Is 1.768 greater than s?
True
Suppose 15 + 50 = a - t, 5*t = 4*a - 266. Is a not equal to 418/7?
True
Let j = 5158 - 5689. Do j and -3720/7 have the same value?
False
Let q = 2616.1 - 2616. Does -0.6691 = q?
False
Let j = 14991 + -209143/14. Which is smaller: 52 or j?
52
Suppose 5004*a + 65 = 4939*a. Is a at least 4/1665?
False
Let l(c) = -21*c**2 - 126*c. Let i be l(-6). Which is greater: i or 9/2491?
9/2491
Suppose -735 = -6*f - 15*f. Let l = f + -874/25. Is -1 at least l?
False
Let k be 212/(-6) - 2*(-2)/12. Let o = -26 - -16. Let w be o/k + 93/(-7). Which is bigger: w or -12?
-12
Let r = 125 + -42. Let s be 1/((-5)/2025*-5). Which is smaller: s or r?
s
Let q be 4/3 - 6/(-9). Let o be (-3 - 18/(-12))*(-134)/3. Let t = o + -64. Which is smaller: t or q?
q
Let r be (-1794)/12 - (-2 + (-14)/(-4)). Let b = -152 - r. Let n = -64 + 371/6. Which is bigger: n or b?
b
Suppose 0*b - 7 = -2*y + 3*b, y - 2 = 2*b. Let h be 12/(-3) + (-1)/y*-34. Which is smaller: h or 1/2?
h
Let m = 0.6756 + 96.3244. Is m less than -2/13?
False
Let c(j) = 10*j - 20. Let d(y) = -2*y**2 - 11*y - 10. Let m be d(-4). Let v be c(m). Let p be (-1 + v)/((-11)/(-11)). Which is smaller: p or -5/19?
p
Let c = -0.045 + -5.155. Let h = 4.8 + c. Let n = 0.1 + h. Which is smaller: n or -3?
-3
Suppose -3*i + 1258 - 124 = 0. Let x = -355 + i. Are x and 23 non-equal?
False
Let j be 12/(-3)*10/(-4). Let t = 43751 - 43743. Is j less than t?
False
Let s = 104.9 - 16.9. Let r = 130 - s. Let a = 2707/154 - 393/22. Which is smaller: r or a?
a
Let m(u) = u**3 - 4*u**2 - 12*u - 5. Let l be m(6). Let r be l - -2 - 168/(-62). Is r > 1?
False
Let c be (-12)/42 - 19190/(-133). Which is bigger: c or 27?
c
Let u = 69698 - 69694. Let g = -13 + 44. Which is smaller: g or u?
u
Let h = -2906.99 - -2907. Suppose -12 - 6 = -3*q. Let n be (-6)/(-9)*q/8. Which is greater: n or h?
n
Suppose -o + 49*c - 54*c = 22, c + 14 = -5*o. Let q = 42 - 5. Is o at least q?
False
Let q(f) = f**3 - 2*f**2 + 4*f - 2. Let x be q(2). Suppose 5*m + 4*o + 1150 - 1164 = 0, -40 = -4*m + 4*o. Suppose -c = -m + x. Which is greater: c or 1/70?
1/70
Suppose -5*y + z + 325 = 0, 260 = 4*y - 52*z + 56*z. Which is greater: 102 or y?
102
Let p be (-448)/5488*7/(-123). Which is bigger: -1 or p?
p
Let b be 19968/84 + (-4)/(-14). Suppose 22*t - 15*t + b = 0. Does t = -69/2?
False
Let h be 110/(-1463)*161/3657. Which is smaller: h or 1/3?
h
Let g = -18053 - -2567. Is g at most -15487?
False
Suppose -t + 14 + 47 = -5*g, -4*t + 3*g + 210 = 0. Let h = 47271 - 47218. Which is smaller: h or t?
t
Let s(p) = -10*p - 40. Let g be s(-4). Suppose g = -2*u - 10*u - 588. Which is bigger: u or -47?
-47
Let q = -272 + 272. Suppose -23*s + 8 - 31 = q. Which is bigger: 4/9 or s?
4/9
Let j = -3946/817 + 90/19. Let q = 23 - 23. Which is smaller: j or q?
j
Let h(i) = -i**3 - i + 2. Let x be h(0). Suppose -x*p = -2*s + 118, 3*p + p + 3*s + 264 = 0. Let b = p + 64. Which is smaller: b or -3?
-3
Let v be ((-544)/24 + 4 - 4)*6/4. Is v != -163/5?
True
Suppose -t + 67 = -5*t - 5*q, -2*t - 5*q = 31. Suppose -3*b + r + 7 = 0, -b - 2*r + 0 = -7. Let o be 27/(-6)*2/b - 15. Is o not equal to t?
False
Let c = 4/21 + -163/84. Let d be (-816)/425 - 8/100. Do c and d have different values?
True
Let h(p) = 115*p**2 - 5*p + 25. Let v be h(3). Suppose -3*d - 412 = -i, 5*d - 353 = -i - v. Is d at most -139?
False
Suppose 4 = q, -12*q - 17 = 3*x - 8*q. Let n be (2/84)/(x/88). Which is smaller: n or 1?
n
Let q = 806 - 805.7. Is q at most 33?
True
Suppose 11*f - 17 = 192. Suppose -w = -2*t + 7, -t - f = 2*w - 0*w. Is w less than -6?
True
Let m be (-2800)/3300*(-2 + -235). Which is bigger: m or 200?
m
Let y(j) be the first derivative of -2*j**2 - 57*j - 2. Let h = 2560 - 2574. Let b be y(h). Is b > 6/53?
False
Let t be (10*3)/(1 + 1). Let f be (-174)/7 + (-8)/56. Let p = f + 36. Is p greater than t?
False
Suppose 40*z + 201*z = 343396 + 1157070. Is 6229 at most as big as z?
False
Let v = 26 - 15. Let b(h) = 6*h**2 - 23*h - 80. Let u be b(6). Which is smaller: u or v?
u
Suppose 0 = -683*h + 688*h - 30 - 70. Let o = 15 + -9. Let q be 38/o*(-3)/(-1). Does q = h?
False
Let t(u) = 6*u + 102. Let v be t(-17). Suppose -5*d - 3*s + 565 = v, 6*d - s = 10*d - 445. Is 108 >= d?
False
Let n = 2464 - 2334. Which is smaller: 0.2 or n?
0.2
Let l be ((-8)/10)/(3/(-15)) - 1. Suppose -99 = 3*j + l*u, 0 = -5*u + 2*u. Which is greater: j or -30?
-30
Let m = -11 - -17. Suppose 29 = m*s - 43. Let u(b) = b**2 + 12*b + 11. Let a be u(-12). Is a != s?
True
Let x = -462491/141245 - -21/3445. Which is smaller: -2 or x?
x
Let l = 470 + -478. Which is bigger: l or 35?
35
Let z = -1411/3 - -437. Let v = 1340 + -1373. Which is smaller: z or v?
z
Let y = -281 + 307. Let d be (10*(-3)/(-18))/(y/5226). Is 335 bigger than d?
False
Let r be -17 + (-3248)/(-192) + (-26)/(-24). Is r at most as big as -2/9249?
False
Let u = 1/10277 - 10468/1962907. Is u greater than or equal to -9?
True
Let n = 1886 - 1292. Are n and 594 equal?
True
Let m be 274 - (-13 + -13 + 2). Are m and 326 equal?
False
Let h(x) = 204*x + 551. Let c be h(-5). Which is smaller: c or -472?
-472
Let p(l) = 2*l**3 + 28*l**2 - 30*l - 13. Let m be p(-15). Let i be 15 + -1 + 8/(-4). Let s be (3 - i - 1)/1. Which is greater: m or s?
s
Let q = -486 + 489. Are q and 3 equal?
True
Let a(u) = -9*u**3 - 2*u**2 - 7*u - 6. Let s(r) = -r**2 + 30*r - 30. Let p be s(29). Let y be a(p). Which is smaller: y or 86/11?
86/11
Let t(v) be the first derivative of v**4/4 - 7*v**3/3 + 3*v**2 + 13*v + 963. Suppose -2*u + 6 = -6. Let q be t(u). Is q at most as big as 13?
True
Suppose -47591 - 110004 = 159*j + 244357. Are -2530 and j equal?
False
Let m = 35234 + -35043. Which is greater: 1718/9 or m?
m
Let f = -6233.22 - -6211. Let t = -72 + 70.78. Let c = t - f. Is c not equal to 1?
True
Let o(m) = -8*m**3 + 177*m**2 - 24*m + 43. Let q be o(22). Which is smaller: q or 10/1331?
q
Let n(m) = -27*m + 80. Suppose -25*c + 13*c + 36 = 0. Let u be n(c). Is 51/2 < u?
False
Let q be ((-81)/(-6) + -1)*(-180)/225. Which is smaller: q or -229/23?
q
Let v(i) = -i**3 + 4*i**2 - 4*i + 7. Let q be v(3). Suppose -99 + 7 = -q*f. Suppose 2*c = -3*u - f, 3*c = 7*c - 2*u + 22. Do 0 and c have different values?
True
Let x be 8*2/56 + (-78)/(-21). Suppose -p + 0 = -3*n + 6, 0 = x*n + 4*p - 24. Is n at most 60/17?
True
Let c be 5 + 1 + -2 + -445. Let b = c + 605. Do 164 and b have different values?
False
Suppose 5*y - 2*y + 4*a + 114 = 0, 3*y + 3*a + 111 = 0. Let b = 0.01681 - 0.21681. Is b at least y?
True
Let m = 11 - -55. Suppose -3*k + m + 54 = 0. Suppose 7*g = -k - 289. Which is smaller: g or -48?
-48
Let l = -200 - -43. Let q = l - -157. Which is greater: q or 3?
3
Let i = -1317 + 1333. Are 9 and i equal?
False
Let m(j) = j**3 + 3*j**2 - j - 2. Let x be m(-4). Let s be ((-27)/18)
|
{
"pile_set_name": "DM Mathematics"
}
|
is the third biggest value in p, -2, f?
-2
Let w(q) = -q**2 + 7*q - 5. Let d be w(5). Which is the second biggest value? (a) d (b) 2/7 (c) 0
b
Let i = -744/1885 + -2/377. What is the second biggest value in -4/7, i, -2, -0.9?
-4/7
Let j be 3/(-12) - 11397/(-84). Let h = -135 + j. What is the third smallest value in -0.5, h, 3?
3
Let w = -0.03 + 5.03. Let u = w + -4.9. Let k be (1/12)/(6/(-16)). Which is the second biggest value? (a) k (b) u (c) 5
b
Let t(s) = -s**3 - 3*s**2 + s. Let r be t(-3). Let g = -10/39 + 1/156. Which is the second smallest value? (a) 4 (b) g (c) r
b
Let w = -66 + 329/5. Which is the biggest value? (a) w (b) 5 (c) -4
b
Let z = -0.87 - -0.57. Which is the biggest value? (a) z (b) -4 (c) -1 (d) 1/6
d
Let g = 1/50 + 9/50. Let j = 1.1 - 6.1. Which is the second smallest value? (a) g (b) j (c) -4
c
Let j = 3 - 2.7. Which is the second smallest value? (a) j (b) 0.5 (c) -1/5
a
Suppose 1 = z + 3. Let i = z - -1. Suppose -5*t = 4*j, 3*j - 7*j + 4 = 4*t. Which is the second biggest value? (a) -2/11 (b) j (c) i
a
Let z be (-52)/10 + 3/15. Let s(v) = -v**2 - 7*v - 4. Let l be s(z). Let f be 12/9 + l/(-4). Which is the third smallest value? (a) 2/3 (b) f (c) -1/2
a
Let r = -940/7 + 134. What is the smallest value in -5, 0.3, r?
-5
Let t = -0.05 - 0.15. Let d(l) = l**2 + 7*l + 5. Let z be d(-6). Which is the second biggest value? (a) t (b) z (c) -4
b
Let l = -20.5 + 20. Which is the third biggest value? (a) -4 (b) 1 (c) l
a
Let n = -4.8 - 0.2. Let q = 21.8 - 22. Which is the second biggest value? (a) q (b) n (c) -0.1
a
Let u(h) = -4*h - 49. Let k be u(-12). Which is the fourth smallest value? (a) -0.4 (b) 5 (c) k (d) -0.2
b
Let d = 0.05 - -2.95. Let o = -209/3 + 70. Which is the biggest value? (a) d (b) -4/5 (c) o
a
Let x = 0.4 - 0.3. Let d = 15 - 11. What is the second biggest value in d, x, -5?
x
Let z be 18/42 - 10/56. Let r = 25 + -18. What is the third smallest value in 2/9, r, z?
r
Let n(a) = -2*a - 5. Let f be n(-7). Let q be 5/(-7)*f/(-15). What is the second biggest value in -0.4, -5, q?
-0.4
Let l(t) = 8*t**2 - 5*t - 3. Let u(j) = j**2 - j - 1. Let v(f) = l(f) - 4*u(f). Let n be v(1). Which is the second biggest value? (a) -0.4 (b) n (c) 0.7
c
Let j be 6/(-4) + 2/(-4). What is the second biggest value in -5, j, 0.1?
j
Let l = -21 - -20.7. Let u = 0.8 + l. Which is the second biggest value? (a) u (b) 0.4 (c) 0.04
b
Let p = -1.5 + 2. Let v be (6/15)/(4/50). Let k = v + -5. What is the biggest value in p, k, 5?
5
Let k be ((-4)/(-70))/((-9)/90). Let c = 1.9 + 0.1. What is the third biggest value in c, 1/2, k?
k
Let q be (18/(-40))/(33/88). What is the third biggest value in 8, 3, -5, q?
q
Let o = 4165/3 + -1254. Let j(w) = -5*w**2 + 3*w + 7. Let t be j(-5). Let y = o + t. What is the third biggest value in -0.2, y, -0.1?
-0.2
Let f = 1574/13 + -16061/78. Let z = 85 + f. Which is the third smallest value? (a) -4/9 (b) z (c) -4
b
Let l = 0.2 + -5.2. Let k = -1.9 - 0.1. Let f = 3 - k. What is the second biggest value in -4, f, l?
-4
Let f = -1/67 + -127/469. Let s = 193/374 + 1/34. What is the smallest value in s, f, -2/15?
f
Let k be (-45)/3*(1/(-9) + 0). What is the third smallest value in k, 2/25, 1/6, 0.4?
0.4
Let q be 10 + (-1 - -3) - -2. Let w = -9 + q. Which is the second smallest value? (a) -5/4 (b) -5 (c) w
a
Let k be (-28)/238 + (-66)/(-272). Which is the fourth biggest value? (a) -1/11 (b) -3/4 (c) k (d) 1/2
b
Let g = 100/3 + -33. Let h = -14 + 20. What is the second biggest value in g, h, 2/7?
g
Let j = 2.3 + -15.3. Let m = -17 - j. What is the biggest value in 2, -1/8, m?
2
Suppose -2*x + 2 = -2*m + 4, 2*x - 22 = -4*m. Suppose -7 = 4*n - x. Let q be n - 14/36*-2. What is the smallest value in q, 0.3, -2?
-2
Let s = 6 - 5. What is the smallest value in s, -2, -0.5?
-2
Suppose -3*y - y = -8. Suppose -y*m - 3*m = 0. Let i = -4 - -7. Which is the smallest value? (a) m (b) 0.4 (c) i
a
Let q = 197/13 + -15. Let u be (-1 + -2)*(-28)/12. Suppose 5*n - 31 + u = -2*l, -4*n = -2*l - 12. Which is the third smallest value? (a) q (b) 1/6 (c) l
c
Let x = -90.5 - -90. What is the second smallest value in -2/15, x, -0.2, 0.5?
-0.2
Let q(j) = -j**2 - 11*j + 4. Let u be q(-11). Let r = 2 - u. Which is the second biggest value? (a) r (b) 2/7 (c) 2
b
Let r = -29 + 146/5. Which is the biggest value? (a) -0.3 (b) r (c) -0.02
b
Suppose 0*y = 2*y. Let p be (1354/(-10) + -2)*-1. Let j = 137 - p. What is the second biggest value in -1/11, y, j?
-1/11
Let f = -679051967/132706089 + 2/776059. Let w = -47/9 - f. What is the second biggest value in 3, w, -2/9?
w
Let c(b) = -b. Let k be c(-3). Let y = 4 + 1. Let m = 0.5 - 0.1. What is the smallest value in y, m, k?
m
Let l be 2 + 100/(-26) - -2. Let t = 77 - 80. Which is the third smallest value? (a) l (b) t (c) 0.04
a
Let h = 21 + -22. Let p = -0.2 - -2.2. What is the second biggest value in 1, p, h?
1
Let n = -0.2 + 0.25. Let s = n + 0.05. Which is the third biggest value? (a) s (b) 4 (c) -4
c
Let l = 1.7 - 2. Suppose -2*p - 6 = -g - g, -5 = 5*g + 5*p. Let t be 2 - (0 + (g - -2)). Which is the second smallest value? (a) 5 (b) t (c) l
c
Suppose h = 5*h - 220. Let x = h - 221/4. Which is the third biggest value? (a) -3 (b) x (c) -2/7
a
Let k = -0.2 + 0.7. What is the third biggest value in k, 0.3, -4, -5?
-4
Let j = -3/2 - -4/3. Let f(k) = k + 7. Let q be f(-5). Suppose -3 = 2*g - 1, -5*g - q = w. Which is the second smallest value? (a) 3/7 (b) w (c) j
a
Let m = -6.4 - -6.9. Let i = 16 + -11. Which is the second smallest value? (a) i (b) m (c) 0.3
b
Suppose -1 = p + 1. Let o = -0.06 - 4.94. Let r = o + 5.4. Which is the third biggest value? (a) -0.1 (b) r (c) p
c
Let r be ((-5)/2)/(11/22). What is the second biggest value in r, 0, 1?
0
Let r = 6 + -11. Let u = 2.05 - 0.05. Suppose -4 = 6*p - 4*p. Which is the third smallest value? (a) r (b) u (c) p
b
Let y = 678 - 2599/4. Let h = -29 + y. Which is the smallest value? (a) -1 (b) 2/7 (c) h
a
Let g = 0.078 + 0.422. Let k be 1 + 0 - 2 - 3. Which is the third smallest value? (a) k (b) 5 (c) g
b
Let p = 4.7 + -5. Which is the second biggest value? (a) 27 (b) p (c) 2
c
Let s = 27 + -33. Which is the smallest value? (a) s (b) 0.5 (c) 2
a
Let f = 79 - 79.02. Which is the third biggest value? (a) 1 (b) -3 (c) f (d) 2
c
Let z = -83 - -82. What is the third smallest value in 2/9, z, -2/17, -0.5?
-2/17
Let t = -0.26 - 0.04. Let b = -6 - -6. Let h = b - t. What is the second biggest value in 1, 3, h?
1
Let y(v) = 3*v**3 + v**2 - v + 1. Let q be y(1). Let i = -0.512 + 0.012. What is the third smallest value in i, 3/7, q?
q
Let v = 335 - 3013/9. Let s = 0.1 + -0.2. Which is the third biggest value? (a) s (b) -1 (c) v
b
Let c = 1.2 + -5.2. Let j(l) = -2*l**2 - 2*l - 2. Let a be j(-2). Let y = a + 10. What is the biggest value in -1/5, c, y?
y
Let k = -11 - -10.7. What is the biggest value in 0.1, k, -4?
0.1
Suppose -t = d + 1, t + 3 = 4*d + 27. Which is the smallest value? (a) -4 (b) d (c) -3
b
Let k = 38 + -65. Let l be 8/9 + 18/k. Which is the biggest value? (a) l (b) -0.2 (c) 0.1
a
Let o = -47 - -49.9. Let u = o - 0.1. Let k = 3 - u. Which is the third smallest value? (a) 1 (b) k (c) 0.5
a
Let h = 1.94 - -0.06. Let z = -5 + 4.7. Let r = z - -0.2. What is the second smallest value in r, 0, h?
0
Let f = -6 - -6.3. Let d be (131/12)/(44 - 3). Let w = 2/123 - d. What is the second smallest value in f, w, 5?
f
Let q be (-7 - (-292)/40)*10/(-12). Which is the second biggest value? (a) 5 (b) q (c) 3/4
c
Let h = -0.2 + -0.3. Suppose -36 = 5*j - 4*r - 10, 0 = 3*j + 4*r - 10. Let v = 0.6 + -0.3. Which is the smallest value? (a) h (b) j (c) v
b
Let j be 32/40 - 3/10. Let i = 0 + -2. What is the biggest value in i, 2/3, j?
2/3
Let h = 0.47 + -5.47. Let n = 4 + -4.3. Which is the third biggest value? (a) h (b) 2/13 (c) n
a
Let w = 0.04 + -0.12. Let r = 0.08 + w. What is the smallest value in r, 3, -5?
-5
Let z = 5623/18 + -312. Let q = z + 1/9. Let g = 5.6 - 6. Which is the second smallest value? (a) 1 (b) g (c) q
c
Suppose -m + 10 = -3*m - 5*n, 15 = -3*m - 2*n. What is the second smallest value in 2, m, 0.1?
0.1
Let w(t) = -t**3 + t**2
|
{
"pile_set_name": "DM Mathematics"
}
|
mber?
False
Is 132626712451 prime?
True
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False
Is 252763301 prime?
False
Is 80893811629 composite?
False
Is 89014043 a composite number?
False
Is 823142279 a composite number?
False
Is 1407047947 composite?
False
Is 1781183791 a composite number?
False
Is 1279363994 prime?
False
Is 29840483051 prime?
True
Is 7157462737 prime?
True
Is 75624517 a composite number?
True
Is 5696006755 a prime number?
False
Is 47845152179 composite?
True
Is 322724839 a composite number?
False
Is 8431416557 a composite number?
False
Is 15469503173 a composite number?
True
Is 202217143 a prime number?
False
Is 3841731742 composite?
True
Is 14293347571 prime?
True
Is 608509709 prime?
False
Is 14027181263 a composite number?
False
Is 144204787 composite?
False
Is 53521171023 a prime number?
False
Is 623511857 a prime number?
True
Is 260495089 a composite number?
True
Is 17396198671 prime?
True
Is 19476533 prime?
False
Is 24041730767 a prime number?
True
Is 4409991059 prime?
False
Is 1848720689 composite?
True
Is 29054776531 a composite number?
True
Is 16333915223 a composite number?
False
Is 9879502607 a prime number?
False
Is 2901696547 a prime number?
False
Is 33232472803 a prime number?
True
Is 39002165693 prime?
True
Is 6515539759 a prime number?
False
Is 9677910071 prime?
True
Is 6511822303 composite?
True
Is 603454147 a composite number?
True
Is 19193851459 a composite number?
True
Is 15112444201 a prime number?
True
Is 19005433971 a prime number?
False
Is 3283228303 composite?
False
Is 52371828607 prime?
False
Is 2256640277 a composite number?
True
Is 95598372089 prime?
False
Is 7414528987 prime?
True
Is 6031907381 composite?
False
Is 203924767 prime?
True
Is 7803400669 a composite number?
False
Is 71859869 composite?
True
Is 200117873 composite?
False
Is 1757824429 composite?
True
Is 533451461 composite?
False
Is 1276953319 a prime number?
False
Is 655730741 a prime number?
True
Is 4305127013 composite?
True
Is 7981580273 a prime number?
True
Is 134584381 prime?
True
Is 14738919353 composite?
False
Is 585689053 a prime number?
True
Is 933795191 a prime number?
False
Is 4242282781 composite?
True
Is 10212431765 a composite number?
True
Is 276634349 composite?
True
Is 957658829 a prime number?
True
Is 13231639559 a prime number?
False
Is 18031481333 a prime number?
False
Is 9765960959 prime?
False
Is 18116041529 a composite number?
False
Is 4125113637 composite?
True
Is 2052704657 prime?
True
Is 3687345053 composite?
True
Is 1005957809 a composite number?
False
Is 62689580117 composite?
True
Is 930750113 a composite number?
True
Is 353343281477 prime?
True
Is 9503679463 composite?
True
Is 2818027439 a composite number?
False
Is 24594246973 prime?
False
Is 2801125007 composite?
False
Is 183842401081 prime?
False
Is 6010901893 a prime number?
True
Is 8418891491 prime?
True
Is 77890249 composite?
False
Is 4708279657 prime?
True
Is 883683011 a composite number?
True
Is 3105811919 a prime number?
False
Is 18322947527 prime?
True
Is 89205407909 a composite number?
False
Is 32793679211 a prime number?
True
Is 2671814051 composite?
True
Is 763050319 a prime number?
True
Is 220694801 a prime number?
False
Is 145813841 composite?
False
Is 5901371923 prime?
False
Is 99650077 a composite number?
False
Is 947928154 a composite number?
True
Is 966866963 composite?
False
Is 751223779 composite?
False
Is 6348516371 prime?
True
Is 12095591519 prime?
False
Is 11695666837 a composite number?
False
Is 51178166267 a composite number?
False
Is 30275206427 a composite number?
True
Is 49175366351 a prime number?
False
Is 5627349713 composite?
False
Is 14621522891 prime?
True
Is 714971107 composite?
True
Is 458067179 composite?
True
Is 55000474913 a composite number?
False
Is 107546963 prime?
False
Is 3375267277 a prime number?
False
Is 1476168373 prime?
True
Is 1707605051 a composite number?
False
Is 1448372119 prime?
True
Is 6485056121 prime?
True
Is 1491781567 a prime number?
True
Is 2044846393 a composite number?
False
Is 740349217 prime?
False
Is 140651249 prime?
False
Is 5859940393 a prime number?
True
Is 39597545101 a prime number?
True
Is 112315077205 composite?
True
Is 183876449 composite?
False
Is 29242818431 prime?
True
Is 82797577887 composite?
True
Is 10651707041 a composite number?
False
Is 260197451 a composite number?
True
Is 1564855499 composite?
False
Is 3200545379 a composite number?
False
Is 5910621917 a composite number?
False
Is 426996154703 a composite number?
False
Is 88656454207 a composite number?
True
Is 320527021 a prime number?
True
Is 1379823733 a prime number?
False
Is 4254839513 a prime number?
True
Is 355405693 composite?
False
Is 289138559 prime?
True
Is 28123149773 a composite number?
True
Is 3179212481 a composite number?
True
Is 219344091 prime?
False
Is 30638073259 a composite number?
False
Is 6297199903 prime?
False
Is 798944329 composite?
False
Is 10320514679 composite?
False
Is 6588216995 a composite number?
True
Is 649752121 composite?
True
Is 19298653027 a prime number?
False
Is 4624891762 composite?
True
Is 401547397 prime?
False
Is 841595669 a prime number?
False
Is 8199041989 a composite number?
False
Is 5956859603 composite?
False
Is 47962298687 composite?
True
Is 126411755 a prime number?
False
Is 5686654501 a prime number?
False
Is 11328153743 composite?
False
Is 38027187587 prime?
True
Is 28896960769 a prime number?
True
Is 175429187 prime?
True
Is 846192539 a prime number?
True
Is 329087539 a composite number?
True
Is 2951045159 composite?
False
Is 152984807 a prime number?
True
Is 117951375943 composite?
True
Is 2712923473 prime?
False
Is 4089581 prime?
True
Is 27272287639 composite?
False
Is 81151463 prime?
False
Is 46548679 prime?
True
Is 1915834673 prime?
False
Is 24955379167 composite?
False
Is 1358301653 a composite number?
True
Is 489919093 a composite number?
True
Is 1331805833 prime?
False
Is 49072763813 a prime number?
True
Is 401641277 a prime number?
True
Is 9230732717 a composite number?
False
Is 2811926219 prime?
False
Is 1643455727 composite?
True
Is 4759588909 a prime number?
False
Is 5239179343 composite?
True
Is 4353033697 a composite number?
True
Is 7517936926 composite?
True
Is 308219911 prime?
False
Is 624921121 prime?
False
Is 1807426297 composite?
True
Is 156308767 composite?
False
Is 692580107 a composite number?
True
Is 1991700427 prime?
False
Is 51102299 prime?
False
Is 13567104349 a prime number?
True
Is 39528697907 a prime number?
True
Is 126266147 composite?
True
Is 43767337443 prime?
False
Is 7584735407 composite?
False
Is 2268320227 composite?
False
Is 209179079 a prime number?
True
Is 5980748759 a composite number?
False
Is 38529162803 composite?
False
Is 17898446053 prime?
True
Is 1490652797 composite?
True
Is 25478591771 a composite number?
True
Is 6518855197 a composite number?
True
Is 19685081683 a prime number?
True
Is 8136680473 prime?
False
Is 1992663389 a prime number?
False
Is 7221018347 composite?
True
Is 138811921 a composite number?
False
Is 594576533 a composite number?
True
Is 8613668041 prime?
False
Is 1784533885 a prime number?
False
Is 3404427071 prime?
True
Is 4757525657 a composite number?
True
Is 465070577 prime?
False
Is 20354104861 prime?
False
Is 49729270147 composite?
True
Is 10401340447 composite?
False
Is 20537539235 a composite number?
True
Is 976514173 a composite number?
True
Is 9925218599 a composite number?
False
Is 12704203957 prime?
False
Is 1535634979 prime?
False
Is 111838127 prime?
True
Is 5607694349 a composite number?
True
Is 612260245 prime?
False
Is 408868237 a prime number?
False
Is 32846725427 prime?
True
Is 14321544487 prime?
False
Is 6587562829 composite?
False
Is 7322428397 composite?
True
Is 10313555803 a prime number?
True
Is 369833909 prime?
True
Is 656010167 composite?
False
Is 5219934497 composite?
False
Is 390913079 a composite number?
True
Is 50622452777 prime?
False
Is 60624397081 a prime number?
False
Is 156874306949 composite?
True
Is 611762377 composite?
False
Is 10726342667 prime?
True
Is 7598368153 a prime number?
True
Is 3912932027 a composite number?
False
Is 222044974889 a prime number?
False
Is 240828277 prime?
True
Is 828083309 composite?
False
Is 102232124359 composite?
False
Is 145797709 composite?
False
Is 4307714
|
{
"pile_set_name": "DM Mathematics"
}
|
2*sqrt(432) - sqrt(432)))/(sqrt(9) - (sqrt(9) - -1*sqrt(9) - sqrt(9))*-4).
0
Simplify (sqrt(63) + sqrt(63) + 1 + 5)**2.
72*sqrt(7) + 288
Simplify 6*(-2*sqrt(3)*-5)**2*-4.
-7200
Simplify 2*(sqrt(209) + (sqrt(209) - (sqrt(209) - -3*sqrt(209)*2)))/(sqrt(1100)*2 + sqrt(11) + sqrt(11)).
-5*sqrt(19)/11
Simplify -6*(2 + sqrt(320))**2*-4.
768*sqrt(5) + 7776
Simplify sqrt(684) + sqrt(684) + -2 + 2 + sqrt(684).
18*sqrt(19)
Simplify (sqrt(152) - -4*(sqrt(152)*-2 + sqrt(152)))/(sqrt(32)/sqrt(4)*3).
-sqrt(19)
Simplify (sqrt(2420) + (1*sqrt(2420) - sqrt(2420) - sqrt(2420)))/(sqrt(40)/sqrt(16) - sqrt(10)).
0
Simplify 5*sqrt(39)/sqrt(3)*4.
20*sqrt(13)
Simplify (1*(sqrt(70) + (sqrt(70) - -1*sqrt(70))))/(-5*sqrt(40)/sqrt(4)).
-3*sqrt(7)/5
Simplify ((1 + sqrt(5))*3)**2 - sqrt(5)*-2*-2 - ((sqrt(45) - sqrt(45)*-1)*2)**2.
-666 + 14*sqrt(5)
Simplify ((sqrt(60) - sqrt(180)/sqrt(3))/sqrt(12)*-1)**2.
0
Simplify 0 + (sqrt(720) - (sqrt(720)*2 + -1)**2).
-2881 + 60*sqrt(5)
Simplify 5*sqrt(171) - 1*sqrt(475).
10*sqrt(19)
Simplify (sqrt(17) - (sqrt(204)*2)/sqrt(12) - (5 + 1 + sqrt(17)))**2.
24*sqrt(17) + 104
Simplify 3*sqrt(3) + 4 + sqrt(3) - (sqrt(3) + 2 + -5).
3*sqrt(3) + 7
Simplify (4 + (sqrt(68)*-1)/sqrt(4))*5*-1.
-20 + 5*sqrt(17)
Simplify -1 + sqrt(76) - ((sqrt(133)/sqrt(7) + 2)**2 - sqrt(19)).
-24 - sqrt(19)
Simplify ((sqrt(1539) - (sqrt(1539) + 2))*-5 - (-2 + sqrt(1539) + -1*sqrt(1539)))**2.
144
Simplify sqrt(40)/((sqrt(88)*-3)/sqrt(11)).
-sqrt(5)/3
Simplify (sqrt(242) + (sqrt(242)*2 + sqrt(242))*-6)**2.
69938
Simplify (sqrt(13) + 2)*-6 - (5 + sqrt(78)/sqrt(6) + sqrt(13)).
-8*sqrt(13) - 17
Simplify ((sqrt(245) + -1)*1)**2 + sqrt(245) + -1.
-7*sqrt(5) + 245
Simplify (-2*sqrt(11) + 0)**2 + 4.
48
Simplify (sqrt(3)*3 + 5)*2.
10 + 6*sqrt(3)
Simplify 3*-4*sqrt(33)/sqrt(275).
-12*sqrt(3)/5
Simplify sqrt(63) + 2 + (3*sqrt(112))**2.
3*sqrt(7) + 1010
Simplify (sqrt(171) + sqrt(19))*6 + 1.
1 + 24*sqrt(19)
Simplify sqrt(224)/(-2*sqrt(7)).
-2*sqrt(2)
Simplify 4 + (sqrt(15)/(-2*sqrt(3)) - (sqrt(5) - -4*sqrt(5)*2)**2).
-401 - sqrt(5)/2
Simplify (1*(sqrt(30)*4)/sqrt(10)*4)**2.
768
Simplify sqrt(1452) + 1.
1 + 22*sqrt(3)
Simplify (2*sqrt(80) - sqrt(5)) + ((sqrt(5) - sqrt(25)/sqrt(5))*-3)**2 + sqrt(5).
8*sqrt(5)
Simplify (sqrt(52) - (sqrt(364)/sqrt(7) + 2))**2.
4
Simplify (0 + -2*sqrt(2))*-2.
4*sqrt(2)
Simplify (sqrt(176) + sqrt(176) + 0 + sqrt(176))**2 + -5.
1579
Simplify sqrt(5) + sqrt(20) + 2 - (sqrt(5) - 5*sqrt(10)/sqrt(2)).
2 + 7*sqrt(5)
Simplify sqrt(18)/(sqrt(9)*-3 + sqrt(9)) + (2*sqrt(8))**2.
-sqrt(2)/2 + 32
Simplify (-4*5*sqrt(77) + sqrt(77))/sqrt(11).
-19*sqrt(7)
Simplify (sqrt(405) + -1 + sqrt(405) + -1)*5.
-10 + 90*sqrt(5)
Simplify sqrt(931)*2 + -1.
-1 + 14*sqrt(19)
Simplify (sqrt(152)/sqrt(72) - sqrt(304)*-6)**2.
101251/9
Simplify ((sqrt(119)/sqrt(28))**2*-5 + -1)*3.
-267/4
Simplify ((sqrt(204) + (sqrt(204)*1 - sqrt(204))*2 + sqrt(204) - sqrt(204)) + sqrt(204))/(sqrt(108)/sqrt(36)).
4*sqrt(17)
Simplify (sqrt(99)/(sqrt(576) + 3*sqrt(576)))**2.
11/1024
Simplify (sqrt(280)/(sqrt(24)/sqrt(3)))/sqrt(5).
sqrt(7)
Simplify (sqrt(112)*-3 + sqrt(7) + sqrt(7) - (0 + sqrt(7)*2)) + -4.
-12*sqrt(7) - 4
Simplify -6*(-1 + sqrt(180)).
-36*sqrt(5) + 6
Simplify -4*(0 + (sqrt(2880)*-1)/sqrt(10)).
48*sqrt(2)
Simplify ((-1*sqrt(98))/sqrt(7))/((sqrt(140)/sqrt(4))/sqrt(5)).
-sqrt(2)
Simplify 3 + (sqrt(2) - sqrt(2)*-1)**2 + -4.
7
Simplify (5 + -1 + (sqrt(52)/sqrt(4) - sqrt(13)) + sqrt(13) + 5)**2.
18*sqrt(13) + 94
Simplify (-3*sqrt(4235))/sqrt(7).
-33*sqrt(5)
Simplify (-5 + sqrt(98) + -2*sqrt(98))**2.
70*sqrt(2) + 123
Simplify (sqrt(208) + sqrt(208)*-2 + sqrt(208))/(sqrt(16)*-2).
0
Simplify 4 + 0 + sqrt(720).
4 + 12*sqrt(5)
Simplify 1 + (-2 + sqrt(272))**2 + sqrt(85)/(sqrt(5)*2).
-31*sqrt(17)/2 + 277
Simplify 0 + sqrt(102)/((sqrt(66) + (sqrt(66)*2 + sqrt(66) - sqrt(66)))/sqrt(11)).
sqrt(17)/3
Simplify (1 + sqrt(425) + sqrt(425)*-3)**2.
-20*sqrt(17) + 1701
Simplify (sqrt(637) - (sqrt(637) - (sqrt(637) + ((sqrt(637)*-2)**2 - sqrt(637)) + 3)))*1 + -5.
2546
Simplify 5 + 3*sqrt(288) + 5.
10 + 36*sqrt(2)
Simplify ((sqrt(816) - (sqrt(816) - (sqrt(816) + sqrt(816) + sqrt(816) + sqrt(816)*-1)) - sqrt(816))/sqrt(3))**2.
272
Simplify (-5*sqrt(85)*1)/sqrt(5)*6.
-30*sqrt(17)
Simplify (0 + (sqrt(1900) + -1)**2)*6.
-120*sqrt(19) + 11406
Simplify sqrt(60)/(1*sqrt(972) + sqrt(972)) + -1.
-1 + sqrt(5)/18
Simplify (sqrt(5)*2*4)**2 + sqrt(360)/sqrt(8).
3*sqrt(5) + 320
Simplify 1*((sqrt(325) + sqrt(325) + -1)**2 + sqrt(325)).
-15*sqrt(13) + 1301
Simplify ((sqrt(833)*-1 + sqrt(17) + sqrt(153) + 1)*3)**2.
-54*sqrt(17) + 1386
Simplify -1 + sqrt(272) + 1.
4*sqrt(17)
Simplify (sqrt(1053) + -2)**2*-5 + ((5*(sqrt(1053)*-1 + sqrt(1053)))**2 - sqrt(1053)).
-5285 + 171*sqrt(13)
Simplify (sqrt(25)/sqrt(5)*-3 + sqrt(405) + 2)**2.
24*sqrt(5) + 184
Simplify (6*(-2*sqrt(1900))**2 - sqrt(1900)) + -1.
-10*sqrt(19) + 45599
Simplify sqrt(136)/(sqrt(32)/sqrt(4)) + sqrt(1377) + -1 + -4.
-5 + 10*sqrt(17)
Simplify (-2 + -2*sqrt(3)*-1 + sqrt(24)/(sqrt(24)/sqrt(3)))**2.
-12*sqrt(3) + 31
Simplify -3*((sqrt(18) + 1)*-5)**2.
-1425 - 450*sqrt(2)
Simplify 4 + ((sqrt(84)/sqrt(3))/sqrt(4) - sqrt(7) - sqrt(7)).
-sqrt(7) + 4
Simplify ((sqrt(117) + -1)*-5 + sqrt(117))**2 + 0 + 0.
-120*sqrt(13) + 1897
Simplify -2*sqrt(200) + sqrt(200) + -2.
-10*sqrt(2) - 2
Simplify (sqrt(99)/(6*(sqrt(144) + sqrt(9) + sqrt(9))))**2 + 1.
1307/1296
Simplify (sqrt(832) + (sqrt(832) + 0 + sqrt(832))*5)**2 + 2.
100674
Simplify (sqrt(44)*-5 - sqrt(11))**2 - sqrt(55)/(sqrt(125) - sqrt(5)).
-sqrt(11)/4 + 1331
Simplify (sqrt(325) - (-2*sqrt(325) + -4))**2 + sqrt(325) - (3*sqrt(325) + -3 - sqrt(325))**2.
185*sqrt(13) + 1632
Simplify (-3*(sqrt(55) + sqrt(220)/sqrt(4) - sqrt(55)))/(2*sqrt(80)).
-3*sqrt(11)/8
Simplify ((sqrt(68) + -2*sqrt(68))*2*-1)**2.
272
Simplify 4*sqrt(931) - (5 + sqrt(19))*-3.
15 + 31*sqrt(19)
Simplify -3*3*(sqrt(19) + 0).
-9*sqrt(19)
Simplify 3*(-1*(sqrt(1377) + 1) - (0 + sqrt(1377))*5)**2.
324*sqrt(17) + 148719
Simplify 2 + sqrt(700) + -4 + 4.
2 + 10*sqrt(7)
Simplify (-3 + -5*sqrt(1300))**2.
300*sqrt(13) + 32509
Simplify (1*sqrt(42)/sqrt(3) - sqrt(14))/(sqrt(98) + (sqrt(98) + sqrt(98)*1 - sqrt(98) - sqrt(98)) + sqrt(98) - sqrt(2)).
0
Simplify ((-3 + sqrt(13))*-2)**2*1*-4.
-352 + 96*sqrt(13)
Simplify (-2 + sqrt(55)/(sqrt(20)/sqrt(4)))**2.
-4*sqrt(11) + 15
Simplify 0 + ((5*sqrt(104) - sqrt(104)) + sqrt(104))/sqrt(8).
5*sqrt(13)
Simplify sqrt(98)*-2 + sqrt(2400)/sqrt(12).
-4*sqrt(2)
Simplify sqrt(152)/(2*sqrt(392) + sqrt(392)) - sqrt(57)/(sqrt(27) + (sqrt(27) - sqrt(432) - sqrt(27)) - sqrt(3)).
31*sqrt(19)/210
Simplify (-4 + -1*sqrt(832) + 2 + sqrt(832) + sqrt(832))**2.
-32*sqrt(13) + 836
Simplify (sqrt(104)*1*5)/((sqrt(16)*1)/sqrt(2)).
5*sqrt(13)
Simplify (sqrt(208)*-2 - sqrt(208))*-2.
24*sqrt(13)
Simplify 0 + sqrt(125) + (sqrt(405) + 1 + sqrt(5))**2.
25*sqrt(5) + 501
Simplify (3*(sqrt(65) - (-2*sqrt(65) + sqrt(65))) - sqrt(65))/(sqrt(5) + (sqrt(405) - sqrt(405)*1)).
5*sqrt(13)
Simplify 5*((sqrt(1053) + -1)*6)**2.
-3240*sqrt(13) + 189720
Simplify (-2*(-2*sqrt(243) + sqrt(243) - sqrt(243)))**2 + ((sqrt(243) + 0)*-6)**2.
12636
Simplify -5*(-1 + sqrt(3)*4 + 0).
-20*sqrt(3) + 5
Simplify (sqrt(135) - (sqrt(135) + sqrt(135)*2 + sqrt(135)))/sqrt(3)*3.
-27*sqrt(5)
Simplify (sqrt(17) - (sqrt(17) - (sqrt(17) + -1*(-1 + sqrt(17))))) + (sqrt(1088)*2 + sqrt(1088))**2.
9793
Simplify ((2*sqrt(153) + 1)*-1)**2.
12*sqrt(17) + 613
Simplify (-1*(-3 + sqrt(27) - sqrt(27)))**2.
9
Simplify (sqrt(38) - (sqrt(3078) - sqrt(3078)*5))/sqrt(2).
37*sqrt(19)
Simplify 1 + ((sqrt(252)*-2)**2*5 + sqrt(252) - sqrt(252) - sqrt(252)).
-6*sqrt(7) + 5041
Simplify (sqrt(36)/(-6*sqrt(48)/sqrt(4)) + -4)*5.
-20 - 5*sqrt(3)/6
Simplify ((((sqrt(245)*-1 - sqrt(245)) + sqrt(245) + sqrt(245))/sqrt(7))/sqrt(7))**2.
0
Simplify sqrt(5) + 1 + sqrt(5) + sqrt(5) + 1 + ((sqrt(180) - (1 + sqrt(180))) + sqrt(180))**2.
-9*sqrt(5) + 183
Simplify (sqrt(240)*1)/(sqrt(9)/(sqrt(3) + (sqrt(3)*-2 - sqrt(3)))).
-8*sqrt(5)
Simplify -1 + -2 + sqrt(833) + sqrt(833).
-3 + 14*sqrt(17)
Simplify -4*(sqrt(44) - (sqrt(44) + -2)**2).
-40*sqrt(11) + 192
Simplify (-3 + 4 + (sqrt(180) - (-1 + sqrt(180))) + 1)**2.
9
Simplify -3*(sqrt(637)*3 - sqrt(637))*3.
-126*sqrt(13)
Simplify (0 + sqrt(4)/(sqrt(2) + (sqrt(2) - (sqrt(72)/sqrt(4))/s
|
{
"pile_set_name": "DM Mathematics"
}
|
luate (8/6 - 629/510)*2.
1/5
Calculate (0 + -1)/(2/(-6 + 12)).
-3
Evaluate (-2)/14 - (-2 - 371/(-147)).
-2/3
What is the value of (-4)/(-3)*(-3)/(-10)?
2/5
6/2 - 129*7/315
2/15
Evaluate 5 + -10 + (6 - 6).
-5
Calculate (-4)/(((-135)/(-10))/(-9)) + -2.
2/3
What is the value of 27/42*(-2)/(-15)*5?
3/7
What is (108/216)/((-1)/14)?
-7
What is the value of 5 - (-1)/(-4 + (-162)/(-42))?
-2
What is (2/(-8))/((-197)/(-28) + -7)?
-7
(-87)/(-168) - 2/14
3/8
What is (-2)/5 + 3/45*9?
1/5
What is -2 - (-321)/33 - (-111)/407?
8
(-4)/5*(-40)/(-176)
-2/11
Calculate ((-19)/(-2) - 7)/(3/2).
5/3
Calculate (-7)/(154/4) + 155/(-55).
-3
Evaluate ((-275)/(-770))/(10/(-8)).
-2/7
Evaluate ((-3)/(-9))/(30/(-20)).
-2/9
What is -1*((-20)/(-1 - 3))/(-1)?
5
Evaluate -1*1*146/(-219).
2/3
Evaluate 0 + (2/56)/((-4)/(-14)).
1/8
(-5*11/220)/(7/8)
-2/7
What is the value of 2 + -3 - -5 - (2 + -2)?
4
Evaluate -4*(-3)/(-36)*-21 - 2.
5
Evaluate 4/6*15/40.
1/4
Calculate (0 + -2)*1 + (-6020)/(-3311).
-2/11
What is the value of (28 + -31)*(-6)/(-45)?
-2/5
Evaluate ((-2)/(-1) - 4)*2.
-4
What is (-30)/240 + 7/(-72)?
-2/9
(96/(-240))/(-3 - 74/(-30))
3/4
What is the value of (-7)/((-7)/3) + 1*-2?
1
What is 0 + -1 + 1 - (-2)/(-4)?
-1/2
Calculate 2/(-2 - 0) + (-3)/(-4).
-1/4
Calculate (-9)/15*(1 + 4).
-3
Calculate (130/52)/(1/(-2)).
-5
Calculate (-252)/168*(-3 - 1).
6
Evaluate (30/40)/(-3) - 1/(-4).
0
75/(-20)*(-72)/(-54)
-5
Calculate (-48)/160*5/2.
-3/4
Evaluate (-1)/(-5 - (-64)/(-56) - -6).
7
(-6)/(-15)*(12 - 2)
4
What is (1/6)/((-67)/(-335))?
5/6
(-64)/(-22) + (-20)/(-220)
3
Calculate (0/3 - 0)/1.
0
Evaluate (-30)/(-8) - 360/480.
3
Calculate 6/(-4)*(-176)/924.
2/7
Calculate (-5)/3*(-14 - 2227/(-170)).
3/2
Calculate 2/(-1) + -4 + 3/3.
-5
What is the value of -17 + (-1704)/(-96) - 6/16?
3/8
Calculate (30/(-150))/((-9)/(-15) - 3).
1/12
Evaluate (-6)/(3*2*2/6).
-3
What is (-38)/(-95) - (2 + 14/10)?
-3
Evaluate (25/50)/(-1 + 12/(-8)).
-1/5
What is the value of (406/116)/(-3 - (-86)/24)?
6
Evaluate ((-6)/(-20))/(2 + 9/9).
1/10
Calculate 1575/135 + 36/(-3).
-1/3
What is the value of (-16)/32*(-2)/(-18)*6?
-1/3
What is the value of 2/11 + 817/(-1892)?
-1/4
Calculate (6 + -5 + 1)/5.
2/5
Calculate ((-32)/(-6))/8 + (-44)/30.
-4/5
Calculate (3*(-5)/(-2))/(96/64).
5
What is (-5)/(-2)*72/135?
4/3
What is the value of 3 + (-20)/7 + 56/(-98)?
-3/7
-1 - 143/(-13) - 11
-1
What is 15/(-40) - 36/32?
-3/2
What is 2 + (3/((-15)/20) - 0)?
-2
3/(15/2) - 28/70
0
75/(-100)*(-2)/3 + -1
-1/2
Calculate (3/6)/((-73)/584).
-4
15/63*42/(-105)
-2/21
What is the value of (2/10)/((-3)/(-45))?
3
Evaluate (3/180*10)/(2/(-8)).
-2/3
What is the value of 3 + (-47)/15 - 217/735?
-3/7
Calculate 3/(-8) + (-57)/(-456).
-1/4
Calculate ((-4)/(-8))/((-10)/(-3) + -3).
3/2
Evaluate 4/14 + (-192)/476.
-2/17
(-9)/22*(3 - (-124)/(-36))
2/11
What is -4 - ((-6)/(-51) + 159/(-51))?
-1
What is (-372)/90 - 14/(-105)?
-4
Calculate -2*(-6)/(-54) - 244/36.
-7
6/33 - 52/(-1287)
2/9
Evaluate ((-1)/((-1)/(-1)))/((-1)/(-5)).
-5
What is the value of -5*(4 - (1 + 2))?
-5
What is 9/15 - (-24)/(-40)?
0
Calculate (0 - (-16)/(-10))/(6/(-15)).
4
What is 32/55 + (-24)/1056*8?
2/5
What is the value of (-10)/((-60)/(-18)) + 0 + 2?
-1
Calculate 0 - 2/(-4)*4*2.
4
308/(-77) + (-2)/((-10)/23)
3/5
(-1125)/(-180) + 2 + (-9)/4
6
(-10)/7*(-12)/20
6/7
4 + (-9)/36 + (-15)/4
0
(-2*8/(-12))/6
2/9
8 - -106*8/(-112)
3/7
Calculate (7/(-28))/(18/16).
-2/9
What is the value of 4/(-11) + 570/2717?
-2/13
Calculate (5/1)/(210/4).
2/21
What is -5 + 0 - 216/(-48)?
-1/2
(-368)/96*-2 - (-1)/3
8
Calculate 7/(-21) - 21/(-9).
2
Evaluate (-4)/(-6)*(1 + (-4)/16).
1/2
Calculate -2 - -2 - 13/65.
-1/5
Evaluate ((-1)/(-2))/((-1)/(-8)*6).
2/3
6 + -3 + (-50)/(-36)*-2
2/9
What is 19/133 - 58/14?
-4
What is the value of 5/21 - (-51)/153?
4/7
What is (11/(-2))/(1177/(-428))?
2
((-28)/12 - -2)/(22/(-12))
2/11
Evaluate 3/(-2)*(-91 - -93).
-3
Evaluate -1*1/(-2)*-2.
-1
What is the value of 21/(-98)*-8 + 2/7?
2
Calculate (-10)/50 - 12/15.
-1
Evaluate -74*1/(-90) - (-3)/(-5).
2/9
176/(-495)*3 + 4/6
-2/5
What is 77/66*8/14?
2/3
Calculate ((-1)/(-4))/(16 - 15).
1/4
(-17)/((-952)/(-294)) - 15/(-3)
-1/4
What is the value of (-1 + (-10)/(-15))/((-1)/9)?
3
Calculate 10/(-4)*(147/(-35) + 3).
3
What is ((-14)/(-105))/(3/5)?
2/9
(65/30 + -2)*1*4
2/3
What is 4/(-2)*1 - 2?
-4
What is the value of (-588)/(-2205)*3/(-2)?
-2/5
What is the value of 456/720 + 2*2/(-30)?
1/2
7/(7 + (-14)/4)
2
Evaluate 9*(-23)/((-2277)/22).
2
What is the value of 2/(-7) + ((-1248)/42)/8?
-4
(4 + -4)*(1 + 2)/18
0
Evaluate 2 + (-15)/(-25) + (-12 - -8).
-7/5
Calculate 10/10 + (-10)/6.
-2/3
Calculate 387/(-215) - (-6)/45.
-5/3
34/36*4 - 4
-2/9
What is the value of 36/40 - (-20)/(-50)?
1/2
Calculate 56/(-192) - 2/(-12).
-1/8
Calculate -1 + (-7)/(196/(-21)).
-1/4
Calculate -17 + (-390)/(-24) - 1/(-4).
-1/2
Calculate 54/(-45)*(0 - 5/4).
3/2
(-3)/15 + (-5)/(225/(-324))
7
What is the value of -1 + -1 + -2 - -3?
-1
Calculate (6/49)/((-45)/(-105)).
2/7
Evaluate (-3)/2*2 + (-49 - -51).
-1
What is the value of ((-1)/(-2))/((-16)/16)*0?
0
(-3 - 8)*1 + 4
-7
What is (-7)/(-248 + -4) + 2/9?
1/4
Evaluate 3/18 + (-116)/(-24).
5
What is (-1 - 1/(-1)) + 222/37?
6
Calculate 8/(-6)*20*57/10640.
-1/7
Calculate 5/4 - (-2806)/(-1464).
-2/3
Calculate -2*((-30)/(-12) - 0).
-5
Calculate (-4 - 2) + (36 - 36).
-6
What is (-6 - (-140)/21)*9/(-2)?
-3
Calculate 9 + (-6 - 32/11).
1/11
Evaluate (-1)/((-8)/(-4) - 6/4).
-2
Calculate (-1 - 24/(-27))*(1 + 1).
-2/9
Calculate ((-4)/8)/((-3)/3).
1/2
Calculate 35/11 + 28/(-154).
3
49/(-14) + 4 + -1 + 1
1/2
Calculate (-9)/6 - (175/(-38) + 3).
2/19
24/(-13) + 8 + -6
2/13
What is (-660)/(-105)*(-35)/(-25) + -8?
4/5
Evaluate -5 - (-3 + -12 + 5).
5
What is 30/56 + -6 + (-69)/(-12)?
2/7
What is 5/180*-9 + (-38)/(-56)?
3/7
Evaluate (26/195)/(2/6).
2/5
91/78 + (-41)/12
-9/4
What is (-23)/(20631/26)*(1 + 2)?
-2/23
Evaluate 20/25*(5 - (-825)/(-170)).
2/17
What is the value of -6 - 15/(-45)*17?
-1/3
(8 + -7)/(4/12)
3
Calculate (-63)/12 + 0 + 2/8.
-5
Evaluate 1 - (50/8 + 33/44).
-6
What is the value of 48/112 + (-9)/(-77)?
6/11
13/(-84) - 3/(-12)
2/21
Evaluate 17 - 3 - 4*3.
2
What is the value of (233 + -231)*6/20?
3/5
What is 30/45*3/10?
1/5
What is the value of (-2)/(-10)*(-25)/(-20)?
1/4
(-6)/57 + (3 - 328/133)
3/7
What is -4 - (7 - 11) - 0?
0
What is the value of (-14)/16 - (-31 - -30)?
1/8
Calculate (-36)/(-8) - -1 - 7.
-3/2
Evaluate 35/(-14) + 3 - (-9)/6.
2
What is 28/8 + (-3 - (-4)/8)?
1
Evaluate (-1)/((-2)/((-6)/15)).
-1/5
105/25 + (-2)/10
4
What is ((-10)/16)/((-3)/24)?
5
Calculate (-24)/(-8)*1*(-1)/15.
-1/5
(-800)/(-120) - 1/(-3)
7
What is the value of (4*2/16)/(66/12)?
1/11
What is (-2)/(-4)*(-4)/(-18)?
1/9
What is (19/(190/(-180)))/(-2)?
9
Calculate 2*(0 - (-24)/(-16)).
-3
What is the value of (-5)/10*8 + 0?
-4
What is the value of -6 - (-2)/(8/12)?
-3
What is the value of (-7)/(-21)*30/(-35)?
-2/7
Calculate 55/(-22)*(-4)/(-5).
-2
Evaluate ((-27)/162)/(1/2).
-1/3
-21*(-20)/(-195) + (-4)/(-26)
-2
What is the value of 15/(-10)*(-4)/(-36)?
-1/6
0 - (1 - -9) - -6
-4
Calculate 42/6*(-2)/(-14).
1
Calculate (-1*(-4)/6)/((-6)/45).
-5
Evaluate 107/428 + ((-45)/(-4))/3.
4
18*(-13)/195*(-3)/9
2/5
6 + (-22)/8 + -3
1/4
What is (-34)/(-20) + 57/(-38)?
1/5
What is (-84)/980 + (-4)/(-14)?
1/5
-1 + 4 + (-5)/((-5)/(-6))
-3
Calculate (14/(-35) - 252/(-55)) + -4.
2/11
Evaluate (1/(-2))/((-3)/18).
3
What is ((-152)/(-64))/(-19)*-24?
3
Calculate ((8/(-12))/(-2))/((-2)/(-24)).
4
-1 + (0 - 5) + 3
-3
Evaluate 1 - (87/(-27) - (-19 + 15)).
2/9
What is the value of (24/(-80)*-1)/(3/(-6))?
-3/5
Calculate 247/598 - (25/(-10) + 3).
-2/23
What is (-55)/33 + 92/48?
1/4
(1/(-2))/((-77)/66)
3/7
Evaluate (-54)/(-189)*(-14)/(-16).
1/4
Evaluate -4*((-4)/(-18) - 22/18).
4
Evaluate (-3)/3 + 4/10*1.
-3/5
(4/(-12))/(2/(-18))
3
What is the value of (14/(-28))/((-1)/(-1 - -3))?
1
What is 1*-4 + 4 + 4/(-4)?
-1
Calculate (1/(-5) + (-24)/30)*1.
-1
(100/(-28) - -4) + 3/(-7)
0
Evaluate (36/(-10) + 3)*-1.
3/5
(-4)/14 + 184/84 + -2
-2/21
What is the value of 21/(-63) - 2/(-12)*2?
0
What is the value of (-19)/(-12) + (-30)/24?
1/3
(-19)/4 - 9/36
-5
Evaluate 88/55*(1/(-2) - -3).
4
Evaluate ((-1)/(-28))/(114/16 + -7).
2/7
Evaluate (9/6)/(6/8).
2
(140/63 - 2)/(8/(-3))
-1/12
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
f**2 + 35*f**2 - 2*f - 3*f**2 - 28*f**2 + f**3. Calculate 3*j(r) - 2*w(r).
r**3 + r - 2
Let n(y) = -2037*y**2 + 10*y + 2. Let u(h) = 63147*h**2 - 315*h - 63. Determine -63*n(q) - 2*u(q).
2037*q**2
Let i(o) = -13*o**3 - 2*o**2 + 10*o + 5. Let j(z) = 12*z**3 + 2*z**2 - 9*z - 4. Suppose -23080 + 23176 = 16*n. Determine n*j(y) + 5*i(y).
7*y**3 + 2*y**2 - 4*y + 1
Let j(v) = -228*v**3 - 7*v - 5. Let x(c) = 227*c**3 + 6*c + 4. Calculate 4*j(s) + 5*x(s).
223*s**3 + 2*s
Let s(w) = -16*w + 52. Let y(t) = -22. Let h(o) = -s(o) - 2*y(o). Let g(r) = -r + 1. Calculate -8*g(k) - h(k).
-8*k
Let p(b) = 5*b + 0 + 5*b - 4. Suppose -5*s + m = 39, -47*s - 22 = -45*s - 2*m. Let j(a) = 19*a - 7. Determine s*p(r) + 4*j(r).
6*r
Let u(k) = 305*k**3 + 9. Let w(c) = 609*c**3 + 19. Determine -7*u(j) + 3*w(j).
-308*j**3 - 6
Let o(s) be the first derivative of 3*s**2/2 + 2*s - 7287. Let x(f) = 8*f + 6. Determine -14*o(r) + 5*x(r).
-2*r + 2
Let r(n) = 7*n + 36901. Let v(h) = -17*h - 92281. Determine -12*r(j) - 5*v(j).
j + 18593
Let h(j) = 223*j**3 - 2*j**2 + 11*j - 4. Let a(f) = 222*f**3 - 3*f**2 + 11*f - 6. Calculate -2*a(u) + 3*h(u).
225*u**3 + 11*u
Suppose 6*q - 4 = 2*q. Let i(a) = 3*a + 1. Let p(g) = g. Let w be 22/6 - 2/3. Let b(d) = d**3 - 2*d**2 - 3*d - 1. Let z be b(w). Calculate q*p(v) + z*i(v).
-2*v - 1
Let a(o) = o - 5. Let l(n) = -255*n + 150. Determine -90*a(p) - 3*l(p).
675*p
Let i(b) = -106*b**2 - 4*b - 1. Let o(x) = -316*x**2 - 12*x - 3. Calculate -17*i(p) + 6*o(p).
-94*p**2 - 4*p - 1
Let z(t) = -95*t + 44*t + 50*t - 2 + 2. Let g(m) be the first derivative of -m**2/2 - 1. Let o(h) = h - 2. Let r(f) = 2*g(f) - o(f). Calculate r(b) - 5*z(b).
2*b + 2
Let z(b) = -b**2 - b - 1. Let n(g) = g**3 - 22*g**2 - 4*g - 4. Suppose w - 12 = -5*j, -3*w - 864 = -885. Calculate j*n(s) - 4*z(s).
s**3 - 18*s**2
Let x(s) = -37*s**2 - 727*s - 6. Let t(v) = -9*v**2 - v - 1. What is -4*t(n) + x(n)?
-n**2 - 723*n - 2
Let w(o) = -o - 1. Let g(u) = -6*u - 4. Let s(t) = g(t) - 5*w(t). Let q = -423 - -426. Suppose q*d + 2 = d. Let k(x) = -8*x + 8. Calculate d*k(z) + 6*s(z).
2*z - 2
Let l(t) = 6*t**2 + 4*t + 4. Let u(n) = n**2 + n. Let f(o) = -o + 14. Let a be f(8). Let g be 0/(20/(a + -1)) + -4. Determine g*u(p) + l(p).
2*p**2 + 4
Let n(c) = -2*c**3 - 2*c**2 - 5*c. Let j = -8047 + 8042. Let x(b) = b. Calculate j*x(y) + n(y).
-2*y**3 - 2*y**2 - 10*y
Suppose -4*o - 20 = 2*f, 5*o + 27 = -2*f + 5. Let k(r) = 7*r + 6. Let m(z) be the second derivative of -5*z**3/2 - 6*z**2 + 27905*z. Calculate f*m(w) - 13*k(w).
-w - 6
Let r(j) = 4*j**2 + 5*j + 176. Let a(g) = g**3 - 11*g**2 - 14*g - 529. Determine -4*a(n) - 11*r(n).
-4*n**3 + n + 180
Let t = 36 - 32. Let b(y) = 2*y**2 - 10*y + 10. Let h be b(t). Let a(g) = -g + 3 - h + 0. Let o(v) = -4*v + 5. Determine 5*a(x) - o(x).
-x
Let f(o) = -o**3 - 2*o + 43. Let l(g) = 6*g**3 + 9*g - 172. What is -9*f(y) - 2*l(y)?
-3*y**3 - 43
Let m(l) = 6494801*l**3 - 3121*l**2 + 6242*l. Let z(r) = -6245*r**3 + 3*r**2 - 6*r. Calculate 3*m(x) + 3121*z(x).
-6242*x**3
Let d(g) = -g - 5. Let m(n) = n + 5. Let b(l) be the second derivative of -3*l**3/2 + 47*l**2 + l - 4. Let o be b(10). Determine o*m(q) + 3*d(q).
q + 5
Let u(n) = 889755*n**3 + 345*n**2 + 8280*n - 345. Let k(c) = -5173*c**3 - 2*c**2 - 48*c + 2. Calculate 345*k(p) + 2*u(p).
-5175*p**3
Let v(a) = a**2 - 35*a - 1. Let x(k) = 5*k**2 - 211*k - 6688. What is -6*v(t) + x(t)?
-t**2 - t - 6682
Let s(d) = -d**2 + 3*d - 5. Let k(b) = 72*b**2 - 13*b + 23. Let r(q) = -k(q) - 5*s(q). Let h(w) = -3887*w**2 - 117*w + 117. Give 2*h(p) - 117*r(p).
65*p**2
Let d(v) = -39*v**2 + 7*v + 7. Let y(t) = 79*t**2 - 15*t - 15. Let l(u) = -u**2 - 93*u - 743. Let f be l(-84). What is f*d(p) + 6*y(p)?
-33*p**2 + p + 1
Let m(r) = -1054*r**3 + 12*r**2 - 4*r. Let t(q) = -2066896*q**3 + 23535*q**2 - 7845*q. Calculate 7845*m(a) - 4*t(a).
-1046*a**3
Let v(x) = x - 12. Let q(r) = -11. Suppose 0 = 195*g - 350 - 23 - 212. Calculate g*v(k) - 4*q(k).
3*k + 8
Let w(u) = -u - 1. Let h(o) = 2*o + 2. Suppose -5*m - 10*b = -6*b - 3, -3*m + 21 = -4*b. Calculate m*h(g) + 8*w(g).
-2*g - 2
Let x(k) = -2*k**3 - 10*k**2 + 3*k - 15. Let q(m) = m**3 + 4*m**2 - m + 8. What is 9*q(z) + 4*x(z)?
z**3 - 4*z**2 + 3*z + 12
Let s(p) = 2*p + 1. Let f(v) = -2*v - 2 + 17 - 5 - 11. Let x be 8 + (0/(-1))/2. Let i be (-69)/(-12) + 2/x. Give i*f(c) + 7*s(c).
2*c + 1
Let t(v) = 10*v**2 - 27*v. Let i(b) = -11*b**2 + 25*b + 1. Give -3*i(g) - 4*t(g).
-7*g**2 + 33*g - 3
Let j(t) = -38*t**2 + 21*t + 16. Let y(a) = -39*a**2 + 21*a + 12. Give -3*j(h) + 4*y(h).
-42*h**2 + 21*h
Suppose -o = 5*t - 30, -4*o - 1024 = -5*t - 994. Let f(u) = -5*u**3 - 3*u**2 + 2*u + 6. Let w(d) = -14*d**3 - 8*d**2 + 6*d + 17. Calculate t*w(p) - 17*f(p).
p**3 + 3*p**2 + 2*p
Let g(v) = 243*v**3 - 38*v**2 - 13*v + 6. Let q(w) = 243*w**3 - 44*w**2 - 14*w + 7. What is 7*g(m) - 6*q(m)?
243*m**3 - 2*m**2 - 7*m
Let l(k) = -54 - k + 77 + 4*k - 5*k. Let s be l(8). Let g(o) = -9*o**2 - 6. Let q(i) = 5*i**2 + 3. Determine s*q(u) + 4*g(u).
-u**2 - 3
Let p(i) = -1 - i**2 + 1 + 227*i**3 + 228*i**3 - 459*i**3. Suppose -10*o = -2*o - 8. Let t(s) = -s**3. Give o*p(k) - t(k).
-3*k**3 - k**2
Let u(y) = 540*y - 55. Suppose 100*m - 327 = 511 + 4662. Let k(a) = 20*a - 2. Calculate m*k(x) - 2*u(x).
20*x
Let k(n) be the third derivative of n**6/20 + n**5/30 - 5*n**4/24 - n**3 + 965*n**2. Let d(u) = 5*u**3 + 2*u**2 - 4*u - 6. Give 5*d(o) - 4*k(o).
o**3 + 2*o**2 - 6
Let p(d) = 222*d - 8216. Let w be p(37). Let u(i) = -i**2 - 5*i + 21. Suppose 0*l - 18 = -2*l. Let m(c) = -c + 5. Give l*m(z) + w*u(z).
2*z**2 + z + 3
Let k(a) = 24*a**2 + 277*a + 1351. Let x(z) = 2*z**2 + 23*z + 113. What is 2*k(f) - 25*x(f)?
-2*f**2 - 21*f - 123
Let i(t) = 4*t**3 + 10*t**2 + 8*t + 8. Let g(d) = 3*d**3 + d**2 + 2*d + 2. Let v(z) = 4*g(z) - i(z). Let y(a) = a**3. Calculate v(m) - 3*y(m).
5*m**3 - 6*m**2
Let p(o) = -82*o**2 + 153*o - 5. Let i(w) = -65*w**2 + 153*w - 4. Determine 6*i(g) - 5*p(g).
20*g**2 + 153*g + 1
Let c(k) = -7*k**3 - 19*k**2 + 8. Let g(h) be the third derivative of -h**6/20 - 3*h**5/10 + 7*h**3/6 - 2*h**2 - 180. Give 5*c(j) - 6*g(j).
j**3 + 13*j**2 - 2
Let m(o) = -7*o**2 - o. Let d(v) = -15*v**2 - 2*v. Suppose g + 30 = -2*n, 2*n - 3*g - 17 = 1. Let q = 9 + -5. What is n*m(y) + q*d(y)?
3*y**2 + y
Let h = 6 + -2. Let d(g) = -5*g**3 - 3*g + h*g + g**3. Let p(z) = 23*z**3 - 6*z. Suppose 2987 = -207*f - 2579 - 1472. Determine f*d(q) - 6*p(q).
-2*q**3 + 2*q
Let j(u) be the first derivative of -u**2/2 - 2*u + 71. Let a = 6 - 7. Let m(q) = -q**2 - 1. Give a*j(f) + 3*m(f).
-3*f**2 + f - 1
Let b(k) be the third derivative of -13*k**4/24 + 2*k**3/3 + 1122*k**2. Let u(g) = 27*g - 9. Give 5*b(p) + 2*u(p).
-11*p + 2
Let b(p) = -1. Let s(l) = 0*l + 2*l + 3 + 8*l + l. Let c(i) = -8*i**3 + 217*i**2 - 24*i - 82. Let t be c(27). What is t*s(w) - 3*b(w)?
-11*w
Let c(n) = 28602*n**2 + 74*n. Let x(u) = -9535*u**2 - 26*u. What is -6*c(p) - 17*x(p)?
-9517*p**2 - 2*p
Suppose 0 = 236*h - 233*h - 3*d, -4*h = 2*d - 18. Let y(x) = -24*x - 5. Let j(f) = 49*f + 9. Give h*j(v) + 5*y(v).
27*v + 2
Let u be 4/6 + 2/6. Let b(w) = 4*w - 3. Let n(y) be the second derivative of 1/12*y**4 + 4*y - 1/2*y**2 + 1/6*y**3 + 6. Calculate u*b(l) - 3*n(l).
-3*l**2 + l
Let w(p) = 4*p**2 + 3*p + 2. Let i be 9/((-162)/(-3))*-2*9. Let q(u) = -5*u**2 - 4*u - 3. Give i*w(a) - 2*q(a).
-2*a**2 - a
Let z(d) = 2*d + 5. Let n(c) = c + 3. Let u = 17268 + -17266. Give u*z(l) - 5*n(l).
-l - 5
Let l(m) = -353*m - 130. Let k(i) = -i - 32. Calculate 4*k(x) - l(x).
349*x + 2
Let j be 2/8 + (-27)/12. Let f(t) = -t**2 - 1. Let h(u) = 39*u**2 + 15*u + 5. Let d(k) = 19*k**2 + 8*k + 2. Let w(a) = 2*d(a) - h(a). What is j*w(q) + f(q)?
q**2 - 2*q + 1
Let z(j) = -3*j**2 + 8*j + 8. Let f(k) = -6*k**2 + 15*k + 15. Suppose 3*p = 12127 - 12160. Determine p*z(v) + 6*f(v).
-3*v**2 + 2*v + 2
Let r(z) = 4*z + 19. Let x(s) = -9*s - 38. Suppose 18*a - 92 = a - 7. Determine a*r(h) + 2*x(h).
2*h + 19
Let l(t) = t. Let f(w) = -3*w + 1. Let y(u) = -f(u) - 4*l(u). Let k = -545 - -546. Suppose 918*x = 917*x - k. Let z(q) = -2*q - 7. Give x*z(c) + 4*y(c).
-2*c + 3
Suppose 0 = -c + 8*c - 21. Suppose 5*g - 3*f - 18 = -5, 0 = g + 2*f. Let w(m) = 6*m - 2. Let u(j) = -5*j + 1. What is c*u(h) + g*w(h)?
-3*h - 1
Let g(q) = -2*q +
|
{
"pile_set_name": "DM Mathematics"
}
|
1, 4
Sort -0.2, 19, -0.4 in ascending order.
-0.4, -0.2, 19
Put 1/2, 4.1, -2/5 in ascending order.
-2/5, 1/2, 4.1
Put 50, 5.3, 4 in decreasing order.
50, 5.3, 4
Sort 5/2, -1, 0.4, -2 in descending order.
5/2, 0.4, -1, -2
Sort 16, -0.2, 1, -0.5.
-0.5, -0.2, 1, 16
Put -0.4, 17/3, -45 in descending order.
17/3, -0.4, -45
Sort 3, -13, 2, 1, -5.
-13, -5, 1, 2, 3
Put -1, 2, 12, 5 in decreasing order.
12, 5, 2, -1
Sort 421, 10, -2 in descending order.
421, 10, -2
Put 2, -152, 0 in ascending order.
-152, 0, 2
Put 8, -133, -3 in increasing order.
-133, -3, 8
Put 25, -1, -4, 5 in decreasing order.
25, 5, -1, -4
Sort -2, -8, 3, 7 in increasing order.
-8, -2, 3, 7
Sort 2, 4, 110, -3, -2 in descending order.
110, 4, 2, -2, -3
Sort 3, 0, -3, -13 in descending order.
3, 0, -3, -13
Sort 0.3, -5, 9 in ascending order.
-5, 0.3, 9
Sort -0.2, 2/17, 2/7.
-0.2, 2/17, 2/7
Put -1, 5, 20, -4, 0 in decreasing order.
20, 5, 0, -1, -4
Sort 3/7, 2, 2/11, -0.3, -0.4 in decreasing order.
2, 3/7, 2/11, -0.3, -0.4
Sort 2, -0.008, -1, -4.
-4, -1, -0.008, 2
Put 1/3, 1/6, 0.1, -1/16, 4 in descending order.
4, 1/3, 1/6, 0.1, -1/16
Sort 1075, -1, 4 in decreasing order.
1075, 4, -1
Sort 1, -54, 4, -15.
-54, -15, 1, 4
Sort -75, 0.3, -1/2 in decreasing order.
0.3, -1/2, -75
Sort -4, -0.4, 4, 2 in decreasing order.
4, 2, -0.4, -4
Sort -4, 19, 2, -5.
-5, -4, 2, 19
Put 0, -4/19, -1/5, 4 in decreasing order.
4, 0, -1/5, -4/19
Sort 1, 2, 12 in decreasing order.
12, 2, 1
Put -1, -2/9, 0.2, -621 in descending order.
0.2, -2/9, -1, -621
Sort 3, -118, 1.
-118, 1, 3
Sort -71, -5, -3, 0, 31 in ascending order.
-71, -5, -3, 0, 31
Put 0, 5, -6, -3, 4 in ascending order.
-6, -3, 0, 4, 5
Sort 10, -4/9, 1/45.
-4/9, 1/45, 10
Put 5/4, -3, -0.1, 0.5 in decreasing order.
5/4, 0.5, -0.1, -3
Put -24, 0.1, -6, -6/7, 0 in ascending order.
-24, -6, -6/7, 0, 0.1
Sort -1, -56, 0, -4.
-56, -4, -1, 0
Put -4, -2, -1, -7, 0 in ascending order.
-7, -4, -2, -1, 0
Sort 3, 0.5, 65, -0.2 in descending order.
65, 3, 0.5, -0.2
Sort -160, 1/3, 3, 0 in decreasing order.
3, 1/3, 0, -160
Put -71/6, -1/4, 0.5, 5 in decreasing order.
5, 0.5, -1/4, -71/6
Put 3, -156, -4, -3 in descending order.
3, -3, -4, -156
Put -3, 3, -0.145 in decreasing order.
3, -0.145, -3
Sort 5, 1, -5, -2 in descending order.
5, 1, -2, -5
Put 1, 5, 540, 3, 0 in ascending order.
0, 1, 3, 5, 540
Sort -1, 5, 33, 8, 4 in increasing order.
-1, 4, 5, 8, 33
Put 180/19, -4, -7 in decreasing order.
180/19, -4, -7
Sort 0, 6, 1, 3 in ascending order.
0, 1, 3, 6
Sort 3, 57, -7, 1, -4 in decreasing order.
57, 3, 1, -4, -7
Put 7/5, -0.03, -0.1 in decreasing order.
7/5, -0.03, -0.1
Put 7, -1, 4 in descending order.
7, 4, -1
Sort 3, 5, -37, 2.
-37, 2, 3, 5
Put 4, -2, 6/11, 5 in ascending order.
-2, 6/11, 4, 5
Sort -45, -3, 2 in ascending order.
-45, -3, 2
Sort -5, 5, -2, -6 in increasing order.
-6, -5, -2, 5
Put -2, 4, 0.3, -0.017 in descending order.
4, 0.3, -0.017, -2
Sort -53, -3, -9 in ascending order.
-53, -9, -3
Put 27, 3, 8, -4 in increasing order.
-4, 3, 8, 27
Sort 3, 3/2, -7.1 in increasing order.
-7.1, 3/2, 3
Sort 25, 4, 0 in descending order.
25, 4, 0
Put -2, 1, 246 in ascending order.
-2, 1, 246
Put 2, 3, -11, -2 in ascending order.
-11, -2, 2, 3
Sort 7, -2/7, -5, -1/5.
-5, -2/7, -1/5, 7
Sort -532, 2/3, -4/5.
-532, -4/5, 2/3
Sort -1/2, 10, 1/3.
-1/2, 1/3, 10
Sort 0.5, 4, -4/563.
-4/563, 0.5, 4
Put 1.5, 0.5, -0.3 in increasing order.
-0.3, 0.5, 1.5
Sort 6, 20, 2/5, -0.4, -0.3 in decreasing order.
20, 6, 2/5, -0.3, -0.4
Put -34, 3, -1, 4, -2 in descending order.
4, 3, -1, -2, -34
Sort 5, -19, -1, 2 in descending order.
5, 2, -1, -19
Sort -0.4, -5, -0.177 in decreasing order.
-0.177, -0.4, -5
Sort 1, 3, -5, -4 in ascending order.
-5, -4, 1, 3
Put 0.5, -2, 545 in ascending order.
-2, 0.5, 545
Put 1, -1, -18 in increasing order.
-18, -1, 1
Put 2/17, 7, 5 in decreasing order.
7, 5, 2/17
Put 4/9, 2/7, -1, -0.2 in descending order.
4/9, 2/7, -0.2, -1
Put -11, -8, -3/11 in increasing order.
-11, -8, -3/11
Put 0.22, 1/3, -0.8, -0.5, 1/4 in descending order.
1/3, 1/4, 0.22, -0.5, -0.8
Put 4, 5, -483 in ascending order.
-483, 4, 5
Sort -0.3, 104, -3, -1 in ascending order.
-3, -1, -0.3, 104
Sort -2/23, -1/4, 10.
-1/4, -2/23, 10
Sort 0, -0.3, -121 in increasing order.
-121, -0.3, 0
Sort 13, 0, -7 in increasing order.
-7, 0, 13
Put 0.2, -4, -14/11, -4/7 in descending order.
0.2, -4/7, -14/11, -4
Sort -3, 1/5, 5, -35 in decreasing order.
5, 1/5, -3, -35
Sort -5/2, -3, 0.5, 3/7, 0.01 in descending order.
0.5, 3/7, 0.01, -5/2, -3
Sort -5, -3, -2459.
-2459, -5, -3
Sort 0, 5/7, 0.3, 4 in decreasing order.
4, 5/7, 0.3, 0
Sort -11/12, -3, -1 in ascending order.
-3, -1, -11/12
Put -7/4, 5/3, -1, -0.2 in ascending order.
-7/4, -1, -0.2, 5/3
Put 290, 7, 0 in ascending order.
0, 7, 290
Sort 71, -1, -4, 3, 4 in ascending order.
-4, -1, 3, 4, 71
Sort 9, -0.02, 1, 3/7.
-0.02, 3/7, 1, 9
Sort -5/3, 41, -5 in descending order.
41, -5/3, -5
Put 3, 50, -7, -3, -1 in ascending order.
-7, -3, -1, 3, 50
Sort 2/11, 1, 284 in ascending order.
2/11, 1, 284
Put -2, 2, 5/2, 0.3 in decreasing order.
5/2, 2, 0.3, -2
Sort -5, -52, -14, 4, 3 in decreasing order.
4, 3, -5, -14, -52
Sort 5, 17, 0.1.
0.1, 5, 17
Put -7, 16, 1/6 in decreasing order.
16, 1/6, -7
Put 16, -2, 5, 0 in descending order.
16, 5, 0, -2
Sort -14, 2, 1.
-14, 1, 2
Put 4, -2/5, -4/5, -0.05 in ascending order.
-4/5, -2/5, -0.05, 4
Sort -4, -30, 1, -27.
-30, -27, -4, 1
Sort 1, 2, 5, 4.
1, 2, 4, 5
Sort -5, -69, 107 in increasing order.
-69, -5, 107
Put -2, 5, 5/9 in decreasing order.
5, 5/9, -2
Sort 5, -19, -3/8, 0.1.
-19, -3/8, 0.1, 5
Sort -0.5, -0.1, 1/11, -2 in descending order.
1/11, -0.1, -0.5, -2
Sort -6, -5, 2, 5 in decreasing order.
5, 2, -5, -6
Put -1, -0.49, 1/6, 1/7 in decreasing order.
1/6, 1/7, -0.49, -1
Sort -3/2, 0.1, -0.16, -0.023 in increasing order.
-3/2, -0.16, -0.023, 0.1
Sort 0, -1, -2/7, 0.35 in increasing order.
-1, -2/7, 0, 0.35
Sort 55, 1/9, 1, -1.
-1, 1/9, 1, 55
Sort -0.2, 4, 0.19, 0.6 in increasing order.
-0.2, 0.19, 0.6, 4
Sort 2/5, 1, -0.5, 29 in decreasing order.
29, 1, 2/5, -0.5
Sort -3, 7, 2, 4, 0.
-3, 0, 2, 4, 7
Sort 7, 176, -4, 5 in decreasing order.
176, 7, 5, -4
Sort 6, -5, 3/8 in decreasing order.
6, 3/8, -5
Put -239, -4, 1 in ascending order.
-239, -4, 1
Sort 0, -27, 52 in descending order.
52, 0, -27
Sort -1, -2, 12, 1 in decreasing order.
12, 1, -1, -2
Put 0.5, -2/373, 3 in decreasing order.
3, 0.5, -2/373
Put -5, 29, -8, 0 in ascending order.
-8, -5, 0, 29
Sort -1, -9, -0.1, -4 in ascending order.
-9, -4, -1, -0.1
Sort 0, 1, -4.
-4, 0, 1
Sort -1, 14, -41.
-41, -1, 14
Put 1, 4, -404/7, -2 in increasing order.
-404/7, -2, 1, 4
Sort 5, 212, 1 in ascending order.
1, 5, 212
Sort -12, -219, 4 in decreasing order.
4, -12, -219
Sort 20, 16, -1.
-1, 16, 20
Sort 0.2, -2/491, -4, -11 in increasing order.
-11, -4, -2/491, 0.2
Sort -4/7, -3/7, 9/11 in increasing order.
-4/7, -3/7, 9/11
Sort 1.9, -1/6, 5/2, 2/7, 4 in decreasing order.
4, 5/2, 1.9, 2/7, -1/6
Sort -5, -2, 87, -1 in decreasing order.
87, -1, -2, -5
Sort 22, -4, -1.
-4, -1, 22
Sort 1/5, -2, 5, -5 in descending order.
5, 1/5, -2, -5
Sort 0.07, -0.9, 0.4, -2, 8 in decreasing order.
8, 0.4, 0.07, -0.9, -2
Sort -37, -5, 6, 5, -2 in decreasing order.
6, 5, -2, -5, -37
Sort -1, 1/4, -200 in descending order.
1/4, -1, -200
Put 0, 84, 4, 5 in descending order.
84, 5, 4, 0
Put -15, -0.5, -1, 5 in ascending order.
-15, -1, -0.5, 5
Sort -83, 5, -1, 4 in increasing order.
-83, -1, 4, 5
Put 2/9, -1.1, -1 in descending order.
2/9, -1, -1.1
Put 0.5, 0.3, 4, -69 in ascending order.
-69, 0.3, 0.5, 4
Sort -9, 5, -2, -5 in increasing order.
-9, -5, -2, 5
Put 5, -4, -3, 1 in decreasing order.
5, 1, -3, -4
Put 1, 0, -113 in descending order.
1, 0, -113
Sort 22, -2, -6 in increasing order.
-6, -2, 22
Sort 11, -43, 4, -4 in increasing order.
-43, -4, 4, 11
Sort 1375, -6, 0.
-6, 0, 1375
Sort 4, 3, 65, -30.
-30, 3, 4, 65
Sort -2, -24, -52 in descending order.
-2, -24, -52
Sort -199, 0, 1/3, -3 in decreasing order.
1/3, 0, -3, -199
Sort -0.7, -5, -0.2, 0.3 in descending order.
0.3, -0.2, -0.7, -5
Sort -5, -3, -129, -4 in increasing order.
-129, -5, -4, -3
Put -0.2, 84, 0.4, -2/3 in decreasing order.
84, 0.4, -0.2, -2/3
Sort -5, 18, -1, 0, 26.
-5, -1, 0, 18, 26
Sort 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
0*r**2 - 2025
Let u(z) = 137*z + 13. Let d(y) = y**2 - 15. What is d(u(n))?
18769*n**2 + 3562*n + 154
Let n(y) = -9*y - 44. Let o(m) = m + 4. Let k(t) = -2*n(t) - 22*o(t). Let u(b) = -273*b**2. Give u(k(w)).
-4368*w**2
Let u(v) = v**2 + 2*v**2 - 2*v**2. Let a(k) = 112*k**2 + 123*k**2 - 312*k**2 + 12*k + 75*k**2. Calculate a(u(y)).
-2*y**4 + 12*y**2
Let g(k) = k**2 + 4*k + 24. Let b be g(-6). Let x = 38 - b. Let m(h) = -2*h**x - 15 - 16 + 31. Let w(q) = 5*q**2 + 4*q. Calculate m(w(y)).
-50*y**4 - 80*y**3 - 32*y**2
Let y be (-4)/(24/27)*-2. Let w be (-4)/6 - (-24)/y. Let i(n) = -16*n**2 - 10*n**2 + 11*n**2 - 14*n**w. Let d(r) = r**2. Give i(d(c)).
-29*c**4
Let d = -507 - -513. Let m(w) = -6*w + 4 + 1 + d - 2. Let z(i) = i**2. Calculate m(z(u)).
-6*u**2 + 9
Let b(a) be the second derivative of 0 + 0*a**2 - 8/3*a**3 - a. Let c(l) = 2*l**2 + 11. Let h(u) = u**2 + 6. Let p(w) = -6*c(w) + 11*h(w). Give b(p(x)).
16*x**2
Let h(x) = 13*x**2 + x. Let p be 10*(126/20)/21. Let w(a) = -8*a + 0*a + p*a + 3*a. Determine h(w(d)).
52*d**2 - 2*d
Let i(p) = -4*p**2 + 4329*p + 1. Let u(r) = 66*r**2. Give i(u(w)).
-17424*w**4 + 285714*w**2 + 1
Let w(t) be the third derivative of -t**5/60 + 5*t**2. Let c be -5 - (-8 - (-6)/2). Let o(n) = 0*n - 24*n**2 + c*n + 54*n**2. Calculate w(o(a)).
-900*a**4
Let x(q) = q. Let u(t) = -284*t**2 - 4667*t. Give x(u(v)).
-284*v**2 - 4667*v
Let s(a) = -3*a. Let d(y) = -47071897*y - 1367 - y**2 + 47071897*y. Calculate d(s(g)).
-9*g**2 - 1367
Let y(x) be the second derivative of -17*x**6/180 - 11*x**3/6 - x**2 + 88*x + 2. Let k(f) be the second derivative of y(f). Let b(l) = -4*l. Give b(k(p)).
136*p**2
Let q(u) = -u. Let i(a) = -4*a - 4. Let c = 98 + -74. Let v(j) = -10*j - c - 29*j + 16*j. Let z(x) = -34*i(x) + 6*v(x). Determine z(q(n)).
2*n - 8
Let x(z) = -z + 2. Let v(t) = -4*t + 7. Let s(f) = 2*v(f) - 7*x(f). Let w(k) be the first derivative of k**3/3 + 23*k**2/2 - 680. Give s(w(r)).
-r**2 - 23*r
Let x(s) = -8*s. Let i(b) = 171 + 20*b + 12*b + 10*b - 53*b + 9*b. Determine x(i(h)).
16*h - 1368
Let i(f) = -4*f + 94. Let h be i(23). Let u(y) = -36*y**2 - 40*y**2 + 98*y**h - 46*y**2. Let j(z) = 2*z. Determine j(u(t)).
-48*t**2
Let g(k) = 6*k**2. Let v(t) = -572*t**2 - 631*t**2 - 2 + 1189*t**2. What is g(v(m))?
1176*m**4 + 336*m**2 + 24
Let p(b) = 2*b - 3. Let w(y) = -3290*y + 30. Calculate p(w(h)).
-6580*h + 57
Let s(r) = -54 - 77*r + 54. Let i(a) be the third derivative of a**5/30 - 357*a**2. What is s(i(p))?
-154*p**2
Let o(p) = 3*p. Let c(r) = 10267720*r. Give c(o(n)).
30803160*n
Let m(a) = a**3 + 7*a**2 + 5*a + 4. Let l be m(-3). Let b(o) = 11*o + 12*o - l*o. Let z(j) = -14*j - 2*j - 3*j - 2*j. Give z(b(d)).
42*d
Let z(y) = -2*y. Let k(v) = -5 + 10 + 52207*v**2 + 37 - 52208*v**2 + 15. Determine z(k(m)).
2*m**2 - 114
Let n be 310/7 + (8/(-14))/2. Let x(w) = n*w + 27*w - 73*w. Let q(d) = 14*d + 2. Calculate x(q(r)).
-28*r - 4
Let c(o) = 17*o**2. Let i(k) be the first derivative of 5*k**2 + 119. Calculate i(c(v)).
170*v**2
Let b(m) be the first derivative of m**2 + 668. Let n(u) = 2*u + 325. Give b(n(f)).
4*f + 650
Let u(v) = 396*v**2. Let p(h) = 2*h + 63764. Calculate p(u(q)).
792*q**2 + 63764
Suppose 480*u - 474*u = 0. Let m(k) = u + 102*k + 0 - 76*k + k**2. Let l(j) = j. Calculate m(l(v)).
v**2 + 26*v
Suppose 5*y - t + 19 = 11*y, 3*y + 3*t - 12 = 0. Let d(i) be the second derivative of -1/2*i**3 - y*i + i**2 + 0. Let s(k) = -k**2. Give d(s(u)).
3*u**2 + 2
Let i(p) = 8*p**2. Let u(o) = -107*o**2 - 12186*o. Give u(i(j)).
-6848*j**4 - 97488*j**2
Let z(i) be the first derivative of -2*i**3 - 2805. Let m(t) = -65*t**2 - 1. Calculate z(m(q)).
-25350*q**4 - 780*q**2 - 6
Let r(i) = 3*i + 6. Suppose 2*x = -d, 15 + 9 = -2*x + 5*d. Let z(q) = q + 3. Let u(w) = x*z(w) + r(w). Let k(f) = -87*f**2. Calculate u(k(y)).
-87*y**2
Let n(o) = 69*o**2. Let a(w) = -84330*w**2. Determine n(a(q)).
490696874100*q**4
Let f(p) = 3*p**2. Let w = 32 + -29. Let b(y) be the first derivative of y**3 + 14 + 0*y**w - 61*y + 61*y. Give b(f(g)).
27*g**4
Let g(f) = -8484*f**2 - 20*f + 80. Let p(v) = 1210*v**2 + 3*v - 12. Let z(n) = -6*g(n) - 40*p(n). Let r(w) = -w. Calculate r(z(s)).
-2504*s**2
Let t(c) = -3424*c + 2. Let p(b) = -36*b + 814. Let d(w) = -2*w + 44. Let o(z) = 37*d(z) - 2*p(z). What is t(o(n))?
6848*n + 2
Let f(z) = -z**2 + 6*z - 4. Let o(d) = -d - 10279. What is f(o(x))?
-x**2 - 20564*x - 105719519
Let x(h) = 3*h**2. Let f be -5 + (27 - 15) - (2 - 1). Let k(d) = 4*d**2. Let z(a) = 4*a**2 - 3*a**2 - 2*a**2. Let b(n) = f*k(n) + 26*z(n). Determine b(x(r)).
-18*r**4
Let v(h) = 833373*h - 2. Let l(a) = 24*a**2. Calculate v(l(d)).
20000952*d**2 - 2
Let f(w) = -19939*w. Let g(l) = -26*l**2 + 1. Determine g(f(q)).
-10336656746*q**2 + 1
Let r(u) = 11*u**2. Let m(v) = 14*v. Let f(y) = 96*y + 240. Let c(i) = -i - 2. Let k(z) = -120*c(z) - f(z). Let l(h) = 5*k(h) - 9*m(h). Give r(l(x)).
396*x**2
Let h(b) = -432*b - 428*b - 406*b + 1283*b. Let n(p) = p - 54. Determine n(h(r)).
17*r - 54
Let r(x) = 36147*x**2. Let f(u) = u**2 - 58. What is f(r(t))?
1306605609*t**4 - 58
Let o be (-6266)/(-14) - -6*(-9)/(-126). Let i(h) = 24081 - 24081 + o*h. Let p(w) = -2*w. What is p(i(m))?
-896*m
Let a(h) = 2*h**2. Let k(u) = 1385199*u - 53. What is k(a(q))?
2770398*q**2 - 53
Let v(d) = -12*d. Let g = 572 - 471. Let u(q) = 220*q - g*q - 107*q. Calculate v(u(j)).
-144*j
Let d(p) = -76*p**2 - 3*p. Suppose m = 4 - 2. Let g(r) = -77*r**2 - 2*r. Let c = -28 - -25. Let u(l) = c*g(l) + m*d(l). Let q(f) = 2*f. Give u(q(v)).
316*v**2
Let v(z) = 2474*z**2. Let r(m) = m - 8814 + m + 8814. Give r(v(o)).
4948*o**2
Let q(c) = c**3 + 18*c**2 + 3*c + 27. Let w be q(-18). Let x = w + 29. Let y(p) = -105 + 105 + 4*p**x. Let z(f) = -f**2. Calculate z(y(m)).
-16*m**4
Let c(t) = -2*t. Let y(u) = -2*u - 20. Let x be y(-11). Let z = 2 + x. Let d(i) = z*i**2 - 5*i**2 + 6*i**2. Calculate d(c(g)).
20*g**2
Let u(s) = -127752*s**2. Let i(m) = -25*m. What is u(i(b))?
-79845000*b**2
Let r(a) = -76821*a. Let x(n) = 209*n**2 + 3*n. What is r(x(b))?
-16055589*b**2 - 230463*b
Let c(q) be the first derivative of 7*q**3/3 + 476. Let x(g) be the first derivative of 2*g**2 + 2. Give c(x(u)).
112*u**2
Let r(m) = 21462*m - 42923*m + 21459*m. Let d(q) = 8*q**2 + 13*q - 3. What is d(r(v))?
32*v**2 - 26*v - 3
Let n(f) = -5*f**2 + 12*f + 24. Let r be 48/18*(-108)/48. Let w(c) = -4*c**2 + 10*c + 20. Let g(u) = r*w(u) + 5*n(u). Let b(y) = -3 + 3 - 10*y. Give g(b(k)).
-100*k**2
Let l(c) be the third derivative of 10*c**2 + 0 + 0*c - 1/60*c**5 - 7/6*c**3 + 0*c**4. Let a(w) be the first derivative of -w**3/3 + 30. Give a(l(u)).
-u**4 - 14*u**2 - 49
Let k(r) = -2*r. Let j(i) = 15771161*i. Give j(k(g)).
-31542322*g
Let z(w) = 0 - 2 - 2 + 17*w. Let j(g) = -544 + 167 - 2*g**2 + 185 + 192 + g**2. Give j(z(f)).
-289*f**2 + 136*f - 16
Let k = 52 - 46. Let n(m) = k*m**2 + 367*m - 367*m. Let t(x) = 19*x. Calculate n(t(h)).
2166*h**2
Let y(o) = -o. Let c(n) = -12*n + 1. Let s(h) = -2907*h + 247. Let w(v) = -1482*c(v) + 6*s(v). Give w(y(m)).
-342*m
Let x(h) = 228*h**2 + 225*h**2 - 459*h**2. Let f(v) = -83*v - 2. Calculate f(x(u)).
498*u**2 - 2
Let q(c) = 2*c - 40. Let b(o) = -2*o + 48. Let r(x) = 5*b(x) + 6*q(x). Let t(z) = 3340*z**2. Determine r(t(i)).
6680*i**2
Let w(p) = -68*p**2 - 63*p**2 + 203*p**2 - 70*p**2. Let y(g) = -4269*g**2. What is w(y(v))?
36448722*v**4
Let i(x) = -9*x**2 - 306*x. Let m(z) = 1116 - 554 - 562 + 4*z**2. Determine i(m(u)).
-144*u**4 - 1224*u**2
Let j(y) = 2*y**2. Let r(l) = -59461586*l. Give r(j(o)).
-118923172*o**2
Let b(x) = 55*x - 14*x - 8*x - 21*x - 13*x. Let w(v) = 2*v**2 + 3*v + 3*v - 6*v. Determine b(w(h)).
-2*h**2
Let g(v) = -5*v**2 + 9. Let p(k) = -16*k**2 + 27. Let d(z) = 12*g(z) - 4*p(z). Let f(n) = 3915*n. Determine d(f(s)).
61308900*s**2
Let x(q) = -3*q**2. Let j(n) = 714*n + 254*n + 653*n. What is j(x(k))?
-4863*k**2
Let a(h) = 28*h. Let p(u) = -103345*u**2. Calculate a(p(y)).
-2893660*y**2
Let w(o) = 19*o**2. Let f(r) = -1039966*r. Calculate f(w(g)).
-19759354*g**2
Let y(m) = 59*m**2 - 6*m + 51. Let k(o) = 176*o**2 - 16*o + 136. Let x(v) = 12*k(v) - 32*y(v). Let a(l) = 17*l**2. What is x(a(w))?
64736*w**4
Suppose -5 - 1 = -3*s. Let c(k) = 6*k**2 + 24*k**2 - 28*k**s. Let w(q) = 4*q + 0*q + 9*q.
|
{
"pile_set_name": "DM Mathematics"
}
|
ess -4*j + 2*j**3 + 10*j**4 + 32*j**2 + 3*j - 32*j**2 as y + h*j**2 + a*j + f*j**4 + c*j**3 and give c.
2
Express (-3*f + 0*f + 2*f)*(-5 - 2 + 4) - 3*f + 3*f - 2*f - f - 4*f + 2*f in the form w + b*f and give b.
-2
Rearrange -45*a**2 + 21*a**2 + 22*a**2 to the form h + g*a**2 + x*a and give g.
-2
Express -2*b + 3 - 3 - 12*b as m + p*b and give p.
-14
Rearrange -2*c + 18*c - 7*c to s + j*c and give j.
9
Express (-3 + 5 - 5)*(-11*o + 0 - 1 + 2) as i*o + r and give i.
33
Rearrange -2 + 2 - 2*t**2 + (t**2 - 4*t**2 + 2*t**2)*(10 - 3 - 37) to x*t + b + m*t**2 and give m.
28
Express (-7 - 1 + 0)*(s + 4*s - 4*s)*(-2*s**2 + 0*s - s - 2*s) in the form b*s**2 + d*s + x + y*s**3 and give b.
24
Rearrange -4 + 4 + 12*p + 15*p to h + y*p and give y.
27
Express -4*t**2 + 197*t**3 - 198*t**3 - 3*t**2 - 3*t as x + f*t**3 + u*t**2 + k*t and give f.
-1
Express 2978 - 2963 - i - i in the form g + x*i and give g.
15
Rearrange 2*m**2 + 0*m**2 - 2*m**4 + m**3 - 3*m**2 - m**2 + 2 to a*m**2 + d + q*m**3 + r*m**4 + p*m and give q.
1
Rearrange 0*g**3 - 3*g**3 + 2*g**3 + (2*g - 2*g - 6*g)*(-4*g**2 + 5*g**2 - 24*g**2 + (0 - g**2 + 0)*(-5 + 1 + 3)) to d*g**2 + l + q*g + c*g**3 and give c.
131
Express -1 + 2 - k**4 + 2*k + 3*k**4 - 4*k**4 - 2*k**3 in the form r*k**3 + b*k + f*k**4 + y*k**2 + v and give v.
1
Rearrange (2*h**4 + 0*h**4 - 7*h**4)*(0 + 12 + 10 + (0 - 3 + 4)*(-2 + 3 - 3) + 0 - 1 - 1) to z + x*h**4 + m*h**3 + y*h**2 + l*h and give y.
0
Express (1 + 3*k + 5*k + 2)*(0*k + k - 2*k) in the form g + p*k + b*k**2 and give b.
-8
Rearrange -6*l**4 - 2 + 8*l**3 + 5*l**4 - 5*l - 6*l**3 to the form q*l + a + i*l**4 + h*l**2 + t*l**3 and give i.
-1
Rearrange 26*j - 54 + 54 to the form t + i*j and give t.
0
Rearrange -8*n**4 - 5*n**4 - 2*n + 11*n**4 + n - 4 - 5*n**3 to j*n**3 + q*n**4 + s*n + w*n**2 + x and give x.
-4
Rearrange -20*z + 0*z - z to the form a*z + k and give k.
0
Express 4*b - 3*b - 20*b as f*b + n and give f.
-19
Express k + 1 + k**3 - 2*k - 3 - 2*k as q + d*k**3 + z*k + y*k**2 and give d.
1
Express 2*c + 2 + 0*c**4 - 9 - 2*c**4 + 6 + 4*c**2 in the form s + y*c + h*c**4 + a*c**2 + v*c**3 and give a.
4
Rearrange -24*j**2 + 87*j**2 - 12*j**2 - 30*j**2 to q*j**2 + b*j + m and give q.
21
Express -i + 92 + 4*i**2 - 92 in the form b*i**2 + s*i + k and give b.
4
Express (1 - 6 + 3)*(1 + 7 - 7 - n + 2*n + n - n + (0 + 2 - 3)*(-4*n + n + n) - 6*n + 0*n + 4*n) as w*n + j and give w.
-2
Rearrange 15*t**2 + 12*t**2 - 4*t**2 - 7*t**2 to the form p*t + q + k*t**2 and give q.
0
Express (2*l - 4*l + l)*((-3*l - l + 3*l)*(2 + 1 - 1) - 3 + 4*l + 3) + (-l - l - 5*l)*(2*l + 3*l - 3*l) in the form s + p*l + h*l**2 and give h.
-16
Express -16*n**2 - 10*n**2 - 4*n**2 + n**2 as a*n + z + o*n**2 and give z.
0
Express ((-3 - 1 + 3)*(2 - 2 + u**2) - 2*u**2 + u**2 + 0*u**2)*(-3*u**2 - u**2 + 0*u**2) in the form t*u**4 + y*u + l + k*u**2 + n*u**3 and give k.
0
Rearrange -4 + 9*d + 6 - 2 to a + f*d and give f.
9
Express l**2 - 5*l**2 - 6 + 6*l**2 in the form u*l**2 + h + t*l and give u.
2
Rearrange (0*v - 2*v + v)*(185*v**2 - 181*v**2 + 4*v - 2*v + 3) to the form w*v + d*v**3 + c + m*v**2 and give w.
-3
Rearrange (2 - 5 + 1)*(2*h**2 - 4*h**2 - h**2 + (h + 1 - 1)*(-3*h + 4*h + 0*h)) + 2*h**2 + 0*h**2 + 0*h**2 to t*h**2 + b*h + c and give t.
6
Rearrange (5*a - 2*a - a)*(2 - 3 - 3) + 2*a - 5*a - a to the form m + q*a and give q.
-12
Rearrange (z + 2 - 2 + (3 - 1 - 4)*(1 - 2*z - 1))*(132 - 70 - 52) to the form r + s*z and give s.
50
Express (2*g - g**2 - 2*g)*(4*g - 4*g - g) - 38*g**2 + 7*g + 2*g**3 + 38*g**2 in the form x*g**3 + p*g**2 + y*g + u and give x.
3
Express -2 + 5 + 25*n - 2*n - 6 as j*n + l and give j.
23
Express (-3 + 3 - 11*i)*(-2*i + 2*i - 2*i) + 3 - 3 + 4*i**2 as u + d*i**2 + s*i and give d.
26
Express g**3 + 2*g**4 + g**2 - 33*g + 3*g**4 - 3*g**4 + 34*g as h*g**4 + v*g**3 + t*g**2 + b*g + j and give b.
1
Rearrange -7*h - 2*h - 2*h - h to the form o + b*h and give b.
-12
Express 2*q**3 + 2*q**4 - 2 + 2*q**3 - 4*q**4 as y + o*q**4 + f*q**3 + p*q**2 + h*q and give o.
-2
Rearrange 7*r**2 - r - 3*r**2 + 2 - 2*r**2 + 0 to the form s*r + w + k*r**2 and give k.
2
Express (-4 + 0*c - 2*c + 0*c)*(2 + 3*c - 2) as b*c**2 + o + l*c and give o.
0
Rearrange (-86 - 80 - 99*c + 166)*(2*c**2 + c**2 - 6*c**2) to u*c**3 + p*c**2 + g*c + x and give u.
297
Rearrange -14*n - 6*n - 3*n**2 - 8*n - 9*n to y*n + w + t*n**2 and give y.
-37
Rearrange 2 + 25*o**3 - 6*o**3 - 1 to the form s*o**3 + t*o + i + z*o**2 and give i.
1
Rearrange p**2 + 0*p + 2*p + p**2 to x*p + i*p**2 + b and give x.
2
Express -23*g**2 - 22*g**2 + 7*g**2 as n*g + z*g**2 + l and give z.
-38
Express (4*q - q - 2*q)*(-4 + 6 + 2)*(-2*q**2 + 12*q**2 + 5*q**2) as g*q**3 + r + o*q + n*q**2 and give g.
60
Express -69*g**2 + 134*g**2 - 3*g + 8*g - 64*g**2 as c + m*g + x*g**2 and give m.
5
Rearrange t + t - 3*t - 16*t to a*t + l and give a.
-17
Express -3*a + 3*a + a + (1 + a - 1)*(11 - 3 + 8) in the form l + z*a and give z.
17
Express ((-2 - 3 + 6)*(0 + 0 - 2) + 1 + 2 - 1 - 10 + 6 - 15 - 1 + 0 - 1)*(3*p**2 - 3*p**2 + 2*p**2) in the form c*p + r*p**2 + i and give r.
-42
Rearrange 116*z**3 - 1 - z**4 - 116*z**3 - 3*z + 2*z**2 to the form c*z**2 + m*z**3 + b*z + h*z**4 + v and give v.
-1
Express (-4*t - t + 2*t)*(0*t + 0*t - 2*t**2) - t**2 + 2*t**3 - 5*t**3 + t + 5*t**3 in the form x*t + l*t**2 + s*t**3 + q and give x.
1
Rearrange -39*m - 43*m - 71*m + (-3*m + 7*m - 2*m)*(-3 + 2 + 2) to b*m + j and give b.
-151
Rearrange (-4 - 1 + 1 + (-1 + 1 - 3)*(1 + 0 - 3) + 1 - 3 + 4)*(0*j + 3*j**2 - 2*j - j**2) to the form i*j**2 + b*j + w and give i.
8
Express 3*j**3 + 3*j**3 - 3*j**3 + 2*j - 6*j**3 as c*j**3 + w*j + u*j**2 + q and give w.
2
Express 2 + 3*a**3 + 1 - 59*a**2 + 58*a**2 in the form y*a + l*a**3 + r + m*a**2 and give r.
3
Rearrange -2*t - 42 - 51*t**3 + 42 to c + p*t**3 + m*t**2 + j*t and give j.
-2
Express (-111 + 111 + 13*i**2)*(-3 - 1 + 5) in the form v + g*i**2 + f*i and give g.
13
Express -41*n**3 + 0*n + 2*n + n**2 + 22*n**3 - 3 + 23*n**3 in the form u + i*n**3 + j*n + m*n**2 and give i.
4
Rearrange (0*n**2 - 2*n**2 - n**2)*(-1 + 0 - 1) + (-2 + 2*n + 2)*(n + 0*n - 2*n) to o + i*n**2 + q*n and give i.
4
Rearrange 6*t - 27*t + 6*t to y*t + z and give y.
-15
Express -2*m**4 - 1 + m**4 - 2*m**2 + 5*m**4 in the form j*m**3 + y + x*m + t*m**2 + g*m**4 and give g.
4
Express 7 + 2 - 4 + 2*l + 9 as f + t*l and give t.
2
Rearrange -2*b + 2*b**2 + 5*b - 2*b**2 + 2*b**3 to u + h*b**2 + q*b**3 + i*b and give q.
2
Rearrange (20*m - 20*m + 16*m + 78*m)*(-1 + 3 + 0) to a*m + l and give l.
0
Express -28*q + 2*q**2 - q**4 + 23*q + 4 - 3 - 3 + q**3 in the form r*q + s*q**4 + a*q**2 + d*q**3 + z and give a.
2
Express -3*c + 8*c - 10*c - 15*c in the form p*c + a and give p.
-20
Express 141*k + k**3 - 20*k**2 + k**3 - 143*k as p + q*k**3 + o*k**2 + z*k and give o.
-20
Express (-3*l + 6*l + 2*l)*(0*l**2 + l**2 - 3*l**2) - 3*l**2 - l**3 + 5*l**2 - l - 3*l as x*l + p*l**3 + j + b*l**2 and give x.
-4
Express (t - t - t)*(1 - 3 + 3) - 3*t - 2*t + 2*t in the form r*t + x and give r.
-4
Rearrange -234*s**2 + s + 208*s**2 - 2*s to x*s**2 + c*s + r and give x.
-26
Express (3*f**3 - 5*f**3 + f**3)*(-2 - 4 + 4)*(4 - 2 - 1)*(3 - 1 + 2*f - 7) as n*f**4 + h*f + z*f**3 + i*f**2 + p and give n.
4
Rearrange -6*w + 6*w + 78*w**2 - 15*w**2 to the form l*w + s*w**2 + h and give h.
0
Express -5*i**3 - 4*i + 4*i + (i + i - i)*(-1 + i**2 + 1) + 3*i**3 + 4*i**3 - 5*i**3 - 2*i**3 - 4 + 4 in the form z*i + n + l*i**3 + a*i**2 and give l.
-4
Express (6*w**2 - 2*w**2 - w**2)*(w - 4*w + 2*w) + w**3 - 9*w**2 + 3*w**2 + 3*w**2 in the form o*w + b + t*w**3 + n*w**2 and give n.
-3
Rearrange -m**2 - 4*m**2 + 8 - m**2 - 3 to g*m**2 + b*m + w and give w.
5
Rearrange g - 3*g - 5*g**2 + g**3 - g**3 + g**3 to d*g**2 + t*g + y + i*g**3 and give i.
1
Rearrange (37*d**2 + 4*d**2 + 17*d**2)*(d - 3*d + 0*d) to p*d**2 + b*d**3 + y + a*d and give b.
-116
Rearrange 1 - 3*u**3 - u**3 + 3*u**3 + 0*u**3 - u**2 to the form d*u + q*u**3 + y*u**2 + r and give y.
-1
Express (3*d**2 - 4*d**2 + 2*d**2)*(4 - 5 - 1) + 12*d**2 - 8*d + 8*d + 2 + 4*d**2 - 2 as z*d + c*d**2 + o and give c.
14
Rearrange -28*c**2 + 28*c**2 + 15*c**3 + (7*c**2 - 3*c**2 - 3*c**2)*(-c + 3*c - c) to the form r*c**2 + h*c**3 + f*c + i and
|
{
"pile_set_name": "DM Mathematics"
}
|
1, v: 1, z: 2, m: 1, y: 1, n: 1}.
1/42
Calculate prob of sequence jjj when three letters picked without replacement from ejnmnm.
0
Two letters picked without replacement from {i: 7, x: 5}. Give prob of sequence ii.
7/22
Three letters picked without replacement from {d: 1, u: 1, o: 1}. Give prob of sequence dou.
1/6
What is prob of sequence ta when two letters picked without replacement from {n: 1, f: 6, t: 2, x: 2, a: 4}?
4/105
Four letters picked without replacement from xwowwowxxwjowox. Give prob of sequence wojo.
1/455
Calculate prob of sequence ny when two letters picked without replacement from {w: 4, d: 2, b: 1, n: 6, y: 2, g: 4}.
2/57
What is prob of sequence sn when two letters picked without replacement from tjtgtjtjtjtsqtntt?
1/272
Calculate prob of sequence yy when two letters picked without replacement from {y: 2, u: 16}.
1/153
Calculate prob of sequence ru when two letters picked without replacement from {c: 2, r: 3, f: 5, v: 1, h: 1, u: 1}.
1/52
Three letters picked without replacement from {a: 2, v: 2, y: 1}. Give prob of sequence yaa.
1/30
Calculate prob of sequence iibw when four letters picked without replacement from {q: 8, w: 1, x: 2, i: 2, b: 2}.
1/8190
What is prob of sequence csp when three letters picked without replacement from lkkcsspslclssksk?
1/280
Calculate prob of sequence ug when two letters picked without replacement from cccugggg.
1/14
Two letters picked without replacement from {e: 4, t: 1, c: 1, w: 2}. Give prob of sequence te.
1/14
Three letters picked without replacement from trrrrotmnmokrmr. Give prob of sequence ntt.
1/1365
Two letters picked without replacement from miqlvwiq. What is prob of sequence wl?
1/56
What is prob of sequence pq when two letters picked without replacement from {q: 1, p: 1, x: 2}?
1/12
Four letters picked without replacement from {g: 5, s: 2}. What is prob of sequence sggs?
1/21
Three letters picked without replacement from ififflf. What is prob of sequence lfi?
4/105
Three letters picked without replacement from oou. Give prob of sequence uoo.
1/3
Calculate prob of sequence kyh when three letters picked without replacement from {k: 4, y: 3, w: 4, h: 4}.
8/455
Three letters picked without replacement from uuhuhuuhuuuu. What is prob of sequence hhh?
1/220
Calculate prob of sequence gs when two letters picked without replacement from rygersrr.
1/56
Four letters picked without replacement from auauuaauuuuau. What is prob of sequence uuuu?
14/143
What is prob of sequence zzz when three letters picked without replacement from {v: 9, r: 5, z: 2, y: 2}?
0
Three letters picked without replacement from mhnmhmh. Give prob of sequence nmh.
3/70
Calculate prob of sequence akb when three letters picked without replacement from aawfabwfgafkbg.
1/273
Four letters picked without replacement from ppppppp. Give prob of sequence pppp.
1
Two letters picked without replacement from xccxxxxxxxc. Give prob of sequence xc.
12/55
Calculate prob of sequence vkx when three letters picked without replacement from {k: 5, v: 3, y: 4, x: 4}.
1/56
Calculate prob of sequence nf when two letters picked without replacement from {f: 4, t: 6, n: 4, v: 5}.
8/171
Calculate prob of sequence ppxn when four letters picked without replacement from xxpnxxxnpnnxxpxp.
4/455
Four letters picked without replacement from {z: 2, d: 6, b: 5}. Give prob of sequence bbdd.
5/143
What is prob of sequence qq when two letters picked without replacement from bbqbbbbq?
1/28
Calculate prob of sequence gu when two letters picked without replacement from ugguuuuuuu.
8/45
Four letters picked without replacement from xcsxcxc. Give prob of sequence xccs.
3/140
What is prob of sequence ga when two letters picked without replacement from ggga?
1/4
Four letters picked without replacement from {i: 3, q: 17}. Give prob of sequence iiii.
0
What is prob of sequence ggv when three letters picked without replacement from {v: 6, g: 4}?
1/10
Calculate prob of sequence fmyf when four letters picked without replacement from {f: 12, y: 1, m: 1}.
1/182
Four letters picked without replacement from eqkk. Give prob of sequence keqk.
1/12
Two letters picked without replacement from odynkkro. Give prob of sequence yr.
1/56
Three letters picked without replacement from {s: 3, o: 5, x: 2}. What is prob of sequence ooo?
1/12
Three letters picked without replacement from ggtwwwwgwgwtwgggggt. What is prob of sequence gtt?
3/323
Three letters picked without replacement from ekevkeeenkntvtett. What is prob of sequence kek?
3/340
Calculate prob of sequence llz when three letters picked without replacement from {z: 1, n: 3, t: 1, l: 7, j: 2}.
1/52
Three letters picked without replacement from tzzeztzzqtteql. What is prob of sequence qzz?
5/273
What is prob of sequence fam when three letters picked without replacement from {f: 1, m: 5, a: 3, l: 1}?
1/48
Calculate prob of sequence at when two letters picked without replacement from ttam.
1/6
What is prob of sequence cc when two letters picked without replacement from axxcaaxacaxaxaaa?
1/120
Two letters picked without replacement from xssxsxxsssxsssss. Give prob of sequence sx.
11/48
Four letters picked without replacement from {g: 2, w: 2, x: 8, m: 4, f: 3, l: 1}. What is prob of sequence ffww?
1/9690
Four letters picked without replacement from {n: 2, o: 4, f: 2, d: 7, b: 2, u: 2}. Give prob of sequence dffu.
7/23256
Three letters picked without replacement from {j: 3, e: 5, y: 8}. Give prob of sequence eje.
1/56
What is prob of sequence en when two letters picked without replacement from {b: 1, n: 7, e: 2, g: 1, j: 3}?
1/13
Four letters picked without replacement from dzidddddsieeddiddde. Give prob of sequence deed.
55/7752
Four letters picked without replacement from qwwsqqqdiqw. What is prob of sequence disq?
1/1584
What is prob of sequence zzr when three letters picked without replacement from mmcczmrcmbbzzmccm?
1/680
Four letters picked without replacement from wwtwtwt. What is prob of sequence twtw?
3/35
Two letters picked without replacement from {n: 11, k: 9}. Give prob of sequence nn.
11/38
Two letters picked without replacement from {r: 2, z: 4, g: 7}. Give prob of sequence rz.
2/39
What is prob of sequence drd when three letters picked without replacement from {d: 2, u: 4, y: 1, r: 3, c: 2}?
1/220
Calculate prob of sequence oogg when four letters picked without replacement from {g: 3, o: 9}.
2/55
Three letters picked without replacement from {v: 5, b: 6, e: 4}. What is prob of sequence vvv?
2/91
Four letters picked without replacement from {t: 1, u: 1, d: 1, r: 1, y: 1}. What is prob of sequence rtyy?
0
Two letters picked without replacement from {k: 1, h: 3, r: 5}. What is prob of sequence rh?
5/24
Calculate prob of sequence tu when two letters picked without replacement from {u: 1, e: 3, b: 1, t: 2}.
1/21
Four letters picked without replacement from {r: 3, t: 2, g: 4}. Give prob of sequence grtt.
1/126
Calculate prob of sequence hnnh when four letters picked without replacement from gnnhghjvgghghvghvj.
1/1836
Three letters picked without replacement from yvctvvdtvtcv. Give prob of sequence ydv.
1/264
Three letters picked without replacement from eoorrersoxe. Give prob of sequence orr.
1/55
Three letters picked without replacement from {t: 2, a: 1, c: 1, i: 1}. What is prob of sequence iaa?
0
What is prob of sequence ij when two letters picked without replacement from {i: 8, s: 4, j: 1}?
2/39
What is prob of sequence td when two letters picked without replacement from vdtxtx?
1/15
What is prob of sequence ft when two letters picked without replacement from tftft?
3/10
Four letters picked without replacement from qqqqqqwwoqqqoqq. Give prob of sequence owoq.
11/8190
Calculate prob of sequence wii when three letters picked without replacement from {w: 6, i: 12}.
11/68
Calculate prob of sequence qqp when three letters picked without replacement from {q: 2, x: 6, f: 1, a: 4, t: 3, p: 2}.
1/1224
Two letters picked without replacement from iigixccigiic. What is prob of sequence cg?
1/22
What is prob of sequence ppf when three letters picked without replacement from wfbpvpbbb?
1/252
Three letters picked without replacement from jqqqfqnfcncqfffnfffj. What is prob of sequence fnc?
2/285
Three letters picked without r
|
{
"pile_set_name": "DM Mathematics"
}
|
**m - 2/11*p**2 + 0 = 0.
-1, 0
Let s(w) be the second derivative of w**6/80 + 363*w**5/20 + 39123*w**4/4 + 2125522*w**3 + 12519843*w**2 + 260*w - 3. Suppose s(h) = 0. What is h?
-322, -2
Let k(t) be the second derivative of 2*t**6/15 - 87*t**5/5 + 585*t**4 + 4050*t**3 - 195*t + 2. Let k(r) = 0. What is r?
-3, 0, 45
Let t(d) be the third derivative of -d**5/2 + 5*d**4/4 - 3*d**3/2 + 37*d**2. Let v(q) = -q**2. Let a(r) = -t(r) + 5*v(r). Find b, given that a(b) = 0.
3/5
Let k = 131 + -106. Let p = 7 + -9. Let s(v) = -85*v**2 + 155*v. Let d(w) = -7*w**2 + 13*w. Let t(y) = k*d(y) + p*s(y). Factor t(f).
-5*f*(f - 3)
Let n(v) be the second derivative of -5*v**7/42 + 161*v**6/6 - 6715*v**5/4 + 31205*v**4/4 - 2016*v. Factor n(i).
-5*i**2*(i - 79)**2*(i - 3)
Let z(l) be the third derivative of -21/160*l**5 + 4*l + 0 + 1/280*l**7 + 11*l**2 - 1/64*l**4 + 7/16*l**3 - 11/320*l**6. Find a such that z(a) = 0.
-1, 1/2, 7
Let u(a) = a**2 + 31*a + 56. Let r(l) be the third derivative of -5*l**4/4 - 55*l**3/6 + 37*l**2. Let s(t) = 4*r(t) + 5*u(t). Suppose s(f) = 0. What is f?
-4, -3
Suppose 562 = -54*p + 670. Factor 9/7*t + 3/7*t**3 + 12/7*t**p + 0.
3*t*(t + 1)*(t + 3)/7
Let x(j) be the third derivative of j**5/12 - 635*j**4/12 + 1265*j**3/6 + 10*j**2 - 131*j. Factor x(o).
5*(o - 253)*(o - 1)
Let y(o) = 14 + 2*o**2 - 3*o**2 - 19*o + 12*o**2 - 7*o. Let l(t) = -65*t**2 + 155*t - 85. Let r(g) = 6*l(g) + 35*y(g). Factor r(p).
-5*(p - 2)**2
Let h(t) be the third derivative of -109*t**2 + 0*t - 3/280*t**7 + 1/1344*t**8 + 0*t**3 + 0 + 5/96*t**6 - 9/80*t**5 + 5/48*t**4. Factor h(b).
b*(b - 5)*(b - 2)*(b - 1)**2/4
Factor -90*t - 14*t**3 + 0*t**4 + 39*t**2 - 194805 + t**4 + 194805 + 24*t**2.
t*(t - 6)*(t - 5)*(t - 3)
Let n(m) = -7*m**2 - 125*m - 3. Let d be n(7). Let k be (9 + d/135)*-190. Factor 16/9 + 56/9*q + 16/9*q**4 + k*q**2 + 50/9*q**3 + 2/9*q**5.
2*(q + 1)**2*(q + 2)**3/9
Suppose 956/3*d**3 + 1848*d**2 + 2/3*d**5 + 11858/3*d + 24*d**4 + 0 = 0. Calculate d.
-11, -7, 0
Let f(u) be the first derivative of 23*u**4/2 - 997*u**3/6 - 167*u**2/4 + 11*u + 437. Determine v so that f(v) = 0.
-1/4, 2/23, 11
Let l(u) be the first derivative of -u**3/27 + 245*u**2/9 - 976*u/9 + 2787. Solve l(m) = 0 for m.
2, 488
Let y(f) be the second derivative of 114*f + 0 + 53/11*f**2 - 2/55*f**5 - 71/11*f**3 + 36/11*f**4. Determine k so that y(k) = 0.
1/2, 53
Let u = -788 + 1243. Determine o so that u*o - 900*o + 452*o - o**2 + 30 = 0.
-3, 10
Let w(m) = 4*m**2 - 347*m + 266. Let p be w(86). Let l(s) be the first derivative of -p*s + 3 + 8/3*s**3 - 6*s**2. Solve l(f) = 0.
-1/2, 2
Factor -198226*y**2 - 228*y + 99110*y**2 + 99118*y**2 - 1694.
2*(y - 121)*(y + 7)
Suppose -2*z - 40*y = 432, 52*z + 5*y = 56*z - 71. Let j = 0 + 2. Suppose 4/3*r**3 + 8/3*r**2 + 2/3*r**5 - j*r + 0 - 8/3*r**z = 0. What is r?
-1, 0, 1, 3
Let k(w) = -1532*w + 4. Let i(n) = -n**2 - 2*n - 1. Let x(v) = -4*i(v) - k(v). Factor x(t).
4*t*(t + 385)
Let p be 114/(-20)*-1 + 57/(-190). Let z = -103/20 + p. Suppose z*y**2 + 1/2*y + 0 - 1/4*y**3 = 0. What is y?
-1, 0, 2
Suppose -2/5*r**3 - 188/5*r - 194/5*r**2 + 384/5 = 0. Calculate r.
-96, -2, 1
Let g = -1/98 - -25/49. Suppose 4 = 17*q - 47. Determine k so that 1 - g*k - k**2 + 1/2*k**q = 0.
-1, 1, 2
Let b(o) = 13*o**2 + 2. Let c be b(1). Let k(a) be the first derivative of 7*a**4 + 48*a - 4 - 79*a**4 - 144*a**2 + 184*a**3 + c*a**5 - 18*a**4. Factor k(s).
3*(s - 2)**2*(5*s - 2)**2
Let k be (-4)/5 + ((-7791)/140)/(-53). Let y be (-4)/18 + 35/36. What is z in -y*z**5 - 9/4*z**2 + k*z**4 + 1 - z + 11/4*z**3 = 0?
-2, -2/3, 1
Let u(q) be the first derivative of 2*q**3/45 - 28*q**2/5 - 558*q/5 - 4966. Find f such that u(f) = 0.
-9, 93
Let h be (-6 + 2)*(0 + 1). Let c be (h/10)/((-10)/75). Factor 2*m**3 + 10*m**2 - 4*m**2 - 5*m**c.
-3*m**2*(m - 2)
Suppose -5*a + 3*n - 5 + 20 = 0, 4*n = -4*a + 12. Solve -3/2*k**3 + a - 15/2*k + 6*k**2 = 0 for k.
1, 2
Let w be (-17)/(544/72) + 1060/400. Factor -2/5*p**2 - 8/5*p + w*p**3 + 8/5.
2*(p - 2)*(p - 1)*(p + 2)/5
Let s = 90 + -84. Factor 13*d**3 + s*d**3 - 24*d**2 - 23*d**3 - 36*d.
-4*d*(d + 3)**2
Let y(v) be the first derivative of -v**6/900 - v**5/24 + 13*v**4/120 + 140*v**3/3 + 38. Let j(g) be the third derivative of y(g). Factor j(d).
-(d + 13)*(2*d - 1)/5
Let i(z) be the second derivative of z**4/12 + 28*z**3 - 169*z**2/2 - 13*z + 6. Factor i(w).
(w - 1)*(w + 169)
Suppose -124*b = -17*b. Let -1/4*s**4 - 1/4*s**3 + s + b + s**2 = 0. What is s?
-2, -1, 0, 2
Factor 62/9*f**2 + 0 - 2/9*f**3 - 24*f.
-2*f*(f - 27)*(f - 4)/9
Let y be (-477)/(-3180)*(-4 - -9). Factor -7*v + y*v**3 + 1/4*v**4 - 3/2*v**2 - 6.
(v - 3)*(v + 2)**3/4
Solve -1/3*f**2 - 274576/3 - 1048/3*f = 0 for f.
-524
Let t(k) = 2*k**2 + 84*k - 166. Let u(j) = -50*j - 1. Let n(b) = t(b) + 2*u(b). Let n(i) = 0. What is i?
-6, 14
Let u = -265 + 268. Determine p so that -79*p - 20*p**u - 5*p**2 + 83*p + 21*p**3 = 0.
0, 1, 4
Let f = 4508 - 4505. Let w(z) be the third derivative of 0 + 1/96*z**4 - 24*z**2 + 1/240*z**5 + 0*z - 1/480*z**6 - 1/24*z**f. Factor w(v).
-(v - 1)**2*(v + 1)/4
Let o(y) = 2*y**2 + 56*y + 104. Let a(f) = f + 2. Let n(h) = 6*a(h) + o(h). Suppose n(g) = 0. What is g?
-29, -2
Let g(o) = 9*o + 136. Let n be g(-12). Let z be (n + -30)/(15/(-66)). Factor -z*q - 16/5 - 6*q**2.
-2*(3*q + 2)*(5*q + 4)/5
Let a(y) = y**3 + 8*y**2 - 6*y - 5. Let n be a(-9). Let g = 36 + n. Determine w so that -7*w**3 + 4*w**5 + 0*w**3 + g*w - w**3 = 0.
-1, 0, 1
Let h(z) be the first derivative of -z**6/36 + 13*z**5/15 - 49*z**4/24 + 4*z**3/3 + 216. Factor h(w).
-w**2*(w - 24)*(w - 1)**2/6
Let -234/7*t - 108 + 6/7*t**2 = 0. What is t?
-3, 42
Let l(z) be the first derivative of z**6/48 + 7*z**5/80 + z**4/8 + 50*z**3/3 + 34. Let v(a) be the third derivative of l(a). Factor v(r).
3*(r + 1)*(5*r + 2)/2
Let s(p) = -p**3 - 37*p**2 + 2103*p - 340. Let r be s(-68). Factor 2*m**3 + 0 + r*m**2 - 49/3*m**5 - 7/3*m**4 + 0*m.
-m**3*(7*m - 2)*(7*m + 3)/3
Let j(r) = -101*r**3 - 164*r**2 - 1500*r - 1118. Let k(y) = 7*y**3 + 12*y**2 + 107*y + 80. Let i(o) = 2*j(o) + 29*k(o). Factor i(s).
(s + 1)*(s + 7)*(s + 12)
Let s(y) = 11 - 8 + 4*y - 2*y**2 - 2*y**2. Let x(r) = -r**2 + 7 + 8 - 14 + r. Let n(k) = -s(k) + 3*x(k). Factor n(h).
h*(h - 1)
Factor 4/3*n - 1/3*n**3 + 4 - n**2.
-(n - 2)*(n + 2)*(n + 3)/3
Solve -8*x**2 - 58258*x - 6*x**4 + 16*x**3 + 2*x**4 + 58258*x - 4*x**2 = 0 for x.
0, 1, 3
Let u(t) be the third derivative of t**6/480 - 3*t**5/40 + t**4/12 + 16*t**3 + 4693*t**2. Factor u(w).
(w - 16)*(w - 6)*(w + 4)/4
Let h(w) be the first derivative of -5*w**4/4 - 565*w**3/3 - 8640*w**2 - 72900*w + 1377. Factor h(l).
-5*(l + 5)*(l + 54)**2
Suppose -3*m = w - 58, 6*w + 5*m + 95 = 404. Let x(h) be the first derivative of 17 - w*h - 1/3*h**3 - 7*h**2. Factor x(j).
-(j + 7)**2
What is i in 4/7*i**3 + 2908/7*i - 1460/7*i**2 - 1452/7 = 0?
1, 363
Let u be (-12)/(-54)*27/3. Let g(s) = -s**4 - s**3 - s**2. Let h(b) = 4*b**4 - b**3 - 8*b**2 - b. Let a(y) = u*g(y) - h(y). Factor a(q).
-q*(q - 1)*(q + 1)*(6*q + 1)
Let v(b) = -1. Let g(u) = u**2 - 10*u + 3. Let s be 12*(-1)/26*-13. Let i(q) = s*v(q) - g(q). Factor i(h).
-(h - 9)*(h - 1)
Suppose 13 = 5*h + 3. Suppose 10*y - h*y - 1352 = 0. Solve -y*b**3 - 4*b**2 + 85*b**3 + 80*b**3 = 0.
-1, 0
Factor 1096*g - 248*g + 430*g - 134*g + 327184 + g**2.
(g + 572)**2
Let w(t) be the second derivative of 2 + 16*t - 3/5*t**2 + 1/30*t**4 + 2/15*t**3. Factor w(i).
2*(i - 1)*(i + 3)/5
Factor -857 - 11*x**2 + 1712 - 855 + 12*x**2 - 1609*x.
x*(x - 1609)
Let k = -16/1239 - -44812/16107. Factor 0 + k*y - 2/13*y**2.
-2*y*(y - 18)/13
Let l(x) be the first derivative of -x**6/2340 - 8*x**5/195 - 64*x**4/39 + x**3/3 + x**2 - 91. Let a(b) be the third derivative of l(b). Factor a(z).
-2*(z + 16)**2/13
Let x(u) be the first derivative of 15*u**4/4 + 72*u**3 + 759*u**2/2 + 270*u - 3512. Let x(f) = 0. Calculate f.
-9, -5, -2/5
Let q = -3 + 6. Suppose -q*v + 6*v - 6 = 0. Let 2*i**5 - v*i**4 + 9*i**4 - 7*i**4 = 0. Calculate i.
0
Let i(g) be the third derivative of -3*g + 0 + 1/21*g**4 + 1/735*g**7 - 1/14*g**5 - 31*g**2 + 1/210*g**6 + 20/21*g**3. Find y such that i(y) = 0.
-5, -1, 2
Let l(o) be the second derivative of o**4/12 + 811*o**3/3 - 3816*o. Factor l(g).
g*(g + 1622)
Let t(w) be the third derivati
|
{
"pile_set_name": "DM Mathematics"
}
|
f'th term of -650892, -1301776, -1952660, -2603544, -3254428, -3905312?
-650884*f - 8
What is the u'th term of -1103818, -1103979, -1104140?
-161*u - 1103657
What is the u'th term of 28147, 28543, 28939?
396*u + 27751
What is the f'th term of -8910116, -8910110, -8910102, -8910092?
f**2 + 3*f - 8910120
What is the w'th term of 1868, 3726, 5580, 7430, 9276?
-2*w**2 + 1864*w + 6
What is the y'th term of -6553, -13021, -19489, -25957, -32425?
-6468*y - 85
What is the k'th term of 3313205, 3313204, 3313203, 3313202, 3313201, 3313200?
-k + 3313206
What is the l'th term of 11814, 23187, 34568, 45957, 57354, 68759, 80172?
4*l**2 + 11361*l + 449
What is the q'th term of -989020, -989153, -989286, -989419, -989552, -989685?
-133*q - 988887
What is the q'th term of -7104, -8512, -9920, -11328, -12736, -14144?
-1408*q - 5696
What is the l'th term of -7939, -8154, -8669, -9634, -11199, -13514, -16729?
-25*l**3 - 40*l - 7874
What is the j'th term of -13329, -28731, -44117, -59481, -74817, -90119?
j**3 + 2*j**2 - 15415*j + 2083
What is the m'th term of 27103, 53331, 79561, 105793, 132027, 158263, 184501?
m**2 + 26225*m + 877
What is the z'th term of -57363, -114667, -171971, -229275, -286579?
-57304*z - 59
What is the k'th term of -3188, -9889, -16590, -23291?
-6701*k + 3513
What is the l'th term of 222, 737, 1566, 2685, 4070, 5697, 7542, 9581?
-4*l**3 + 181*l**2 + 45
What is the q'th term of -1899126, -1899101, -1899076, -1899051?
25*q - 1899151
What is the t'th term of 1768268, 3536525, 5304782, 7073039?
1768257*t + 11
What is the l'th term of 6543, 14135, 21715, 29283, 36839?
-6*l**2 + 7610*l - 1061
What is the j'th term of 172727, 345212, 517697, 690182, 862667, 1035152?
172485*j + 242
What is the c'th term of 7, 261, 1149, 3049, 6339, 11397, 18601, 28329?
63*c**3 - 61*c**2 - 4*c + 9
What is the r'th term of 371, 3138, 10749, 25658, 50319, 87186?
409*r**3 - 32*r**2 - 6
What is the p'th term of 1137, 2502, 4195, 6378, 9213?
27*p**3 + 2*p**2 + 1170*p - 62
What is the m'th term of 34705075, 34705076, 34705077, 34705078, 34705079, 34705080?
m + 34705074
What is the n'th term of -4022, -6218, -6538, -4976, -1526, 3818, 11062, 20212?
n**3 + 932*n**2 - 4999*n + 44
What is the g'th term of 1146, 2884, 5800, 9894, 15166, 21616, 29244?
589*g**2 - 29*g + 586
What is the s'th term of -3945111, -7890214, -11835319, -15780426, -19725535, -23670646?
-s**2 - 3945100*s - 10
What is the z'th term of 1362, 3100, 4838, 6576, 8314, 10052?
1738*z - 376
What is the a'th term of 4016, 32296, 108998, 258332, 504508, 871736?
4035*a**3 + a**2 + 32*a - 52
What is the u'th term of 38136, 38150, 38164, 38178, 38192, 38206?
14*u + 38122
What is the q'th term of 1659, 3994, 6471, 9162, 12139, 15474, 19239?
12*q**3 - q**2 + 2254*q - 606
What is the b'th term of 12185082, 12185075, 12185064, 12185049?
-2*b**2 - b + 12185085
What is the s'th term of -61027, -61052, -61077, -61102, -61127?
-25*s - 61002
What is the s'th term of 2213204, 4426439, 6639676, 8852915?
s**2 + 2213232*s - 29
What is the b'th term of -966, -3610, -8028, -14226, -22210, -31986?
-b**3 - 881*b**2 + 6*b - 90
What is the f'th term of -698155, -698151, -698147, -698143, -698139, -698135?
4*f - 698159
What is the x'th term of 9831, 38254, 85627, 151950, 237223?
9475*x**2 - 2*x + 358
What is the p'th term of -25081, -24989, -24897?
92*p - 25173
What is the u'th term of 7735624, 15471311, 23206998, 30942685, 38678372?
7735687*u - 63
What is the o'th term of -49118, -60634, -72150, -83666, -95182, -106698?
-11516*o - 37602
What is the y'th term of 2101748, 2101738, 2101728, 2101718?
-10*y + 2101758
What is the v'th term of -32574, -65214, -97854, -130494, -163134?
-32640*v + 66
What is the o'th term of 17491, 140094, 472859, 1120864, 2189187, 3782906?
17513*o**3 + 3*o**2 + 3*o - 28
What is the y'th term of 1764807, 1764771, 1764735, 1764699, 1764663, 1764627?
-36*y + 1764843
What is the u'th term of 2112423, 4225029, 6337635, 8450241, 10562847, 12675453?
2112606*u - 183
What is the o'th term of 32128067, 32128064, 32128061, 32128058?
-3*o + 32128070
What is the s'th term of 19683, 33450, 47217?
13767*s + 5916
What is the i'th term of -899, -3581, -10867, -25061, -48467, -83389, -132131?
-384*i**3 + 2*i**2 - 517
What is the k'th term of 1407446, 2814854, 4222264, 5629676?
k**2 + 1407405*k + 40
What is the t'th term of 37371, 34807, 30535, 24555, 16867, 7471, -3633?
-854*t**2 - 2*t + 38227
What is the d'th term of -137532, -137421, -137310, -137199?
111*d - 137643
What is the q'th term of 74108, 148223, 222354, 296501, 370664, 444843, 519038?
8*q**2 + 74091*q + 9
What is the o'th term of -194, -51, 244, 769, 1602, 2821, 4504, 6729?
13*o**3 - 2*o**2 + 58*o - 263
What is the o'th term of 95516, 193470, 291424, 389378?
97954*o - 2438
What is the x'th term of -6145, -11993, -17335, -21919, -25493, -27805?
42*x**3 + x**2 - 6145*x - 43
What is the b'th term of 42686, 85393, 128094, 170783, 213454?
-b**3 + 3*b**2 + 42705*b - 21
What is the f'th term of 68290, 138186, 208078, 277966, 347850?
-2*f**2 + 69902*f - 1610
What is the b'th term of -6703285, -26813131, -60329537, -107252503, -167582029, -241318115?
-6703280*b**2 - 6*b + 1
What is the h'th term of -10779900, -10779924, -10779948, -10779972, -10779996?
-24*h - 10779876
What is the l'th term of 588, 1226, 1934, 2712?
35*l**2 + 533*l + 20
What is the t'th term of 543811, 543806, 543797, 543784, 543767?
-2*t**2 + t + 543812
What is the u'th term of -100703, -201467, -302365, -403463, -504827, -606523?
-11*u**3 - u**2 - 100684*u - 7
What is the i'th term of -93684, -102661, -111648, -120651, -129676?
-i**3 + i**2 - 8973*i - 84711
What is the w'th term of -24555, -98118, -220685, -392256, -612831?
-24502*w**2 - 57*w + 4
What is the w'th term of 249914, 501409, 752904?
251495*w - 1581
What is the v'th term of -1979877, -1979876, -1979867, -1979844, -1979801?
v**3 - 2*v**2 - 1979876
What is the f'th term of 25966, 26495, 27024, 27553?
529*f + 25437
What is the k'th term of 2726152, 2726258, 2726364, 2726470, 2726576?
106*k + 2726046
What is the i'th term of -10668, -13381, -17908, -24255, -32428?
-i**3 - 901*i**2 - 3*i - 9763
What is the o'th term of -19822956, -19822958, -19822962, -19822968, -19822976, -19822986, -19822998?
-o**2 + o - 19822956
What is the v'th term of 823846, 3295366, 7414514, 13181248, 20595526, 29657306, 40366546?
-7*v**3 + 823856*v**2 + v - 4
What is the c'th term of -527, -487, -381, -185, 125, 573, 1183?
4*c**3 + 9*c**2 - 15*c - 525
What is the k'th term of -445427, -445410, -445391, -445370, -445347, -445322?
k**2 + 14*k - 445442
What is the j'th term of -38, -99, -244, -479, -810, -1243?
-j**3 - 36*j**2 + 54*j - 55
What is the q'th term of 6590, 13206, 19786, 26330, 32838, 39310?
-18*q**2 + 6670*q - 62
What is the p'th term of 6292, 10978, 14058, 15526, 15376, 13602, 10198?
-p**3 - 797*p**2 + 7084*p + 6
What is the f'th term of -9986, -8434, -5852, -2240, 2402, 8074?
515*f**2 + 7*f - 10508
What is the r'th term of -111692, -223399, -335106, -446813, -558520, -670227?
-111707*r + 15
What is the a'th term of -518916, -1037818, -1556720, -2075622, -2594524?
-518902*a - 14
What is the f'th term of 759558, 1519062, 2278566, 3038070?
759504*f + 54
What is the y'th term of 994, 2690, 5082, 8170?
348*y**2 + 652*y - 6
What is the f'th term of -1512814, -1512882, -1512950, -1513018, -1513086?
-68*f - 1512746
What is the q'th term of -16079072, -64316272, -144711604, -257265068, -401976664?
-16079066*q**2 - 2*q - 4
What is the a'th term of 1817, -3031, -7879, -12727, -17575, -22423?
-4848*a + 6665
What is the v'th term of 42070, 90789, 139508, 188227?
48719*v - 6649
What is the o'th term of -12734, -101590, -342846, -812726, -1587454?
-12704*o**3 + 24*o**2 - 54
What is the z'th term of -381260, -762489, -1143692, -1524869, -1906020, -2287145, -2668244?
13*z**2 - 381268*z - 5
What is the t'th term of 1602490279, 1602490280, 1602490281, 1602490282, 1602490283, 1602490284?
t + 1602490278
What is the s'th term of -5113, -20629, -46781, -83809, -131953?
-40*s**3 - 5078*s**2 - 2*s + 7
What is the n'th term of -4329, -17303, -38929, -69213, -108161, -155779, -212073, -277049?
-n**3 - 4320*n**2 - 7*n - 1
What is the k'th term of 1867, 3790, 5749, 7744, 9775?
18*k**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
w**(-2/17))**(6/25))**(-9/2))**(-42) assuming w is positive.
w**(4104/425)
Simplify (i*i**(-1/2)*i**(-11))**(-1/61)*i*i/i**(5/3)*i*i/i**(-1/2)*(i**(2/13)*i*i*i)/(i*i**6) assuming i is positive.
i**(-2000/2379)
Simplify ((k**2)**35)**(2/17)/((k**(1/7)*k)/k*k*k*k*k**(2/5))**(-2/15) assuming k is positive.
k**(77716/8925)
Simplify (((a**20/a)/(a**(-10)/a))/(a**(3/23)/(a**(-21)*a)))**(-19/5) assuming a is positive.
a**(-4313/115)
Simplify (f/(f*f*(f/((f/f**(1/2))/f))/f*f))**49/(f**(-5)*f/(f*f**(-3)))*((f*((f*f*f**(-1))/f)/f)/(f**(2/11)/f))/(f*f**6*f/(f*f**(-1)/f)) assuming f is positive.
f**(-2831/22)
Simplify ((t*t**(1/47)*t**(-3/28))/(((t*t**9/t)/t)/t)**(-25))**(-25) assuming t is positive.
t**(-5787575/1316)
Simplify ((y*y**(2/5)*y)**(-2/45)*(y**0)**(8/5))/(y**(-8)/(y/((y/y**6*y)/y))*y**6*y*y*y**(-3/2)*y) assuming y is positive.
y**(959/150)
Simplify ((((w*w*w*w*w**17*w*w)/w)/w*w*w/w**(2/19))/((((w**12*w)/w)/w)/(w*w*w*w*w**(2/15)*w)))**(7/5) assuming w is positive.
w**(33971/1425)
Simplify (((z**(-11/4)*z)/(z/(((z/z**(-4))/z)/z)))/(z**(15/8)/z**3))**(8/15) assuming z is positive.
z**(11/15)
Simplify ((o**(-2/9)/o*o)**(-4/17))**27*(o**(-2/13)/o**1)/(o**(2/25)*o**(-2/13)*o) assuming o is positive.
o**(-284/425)
Simplify ((c*((c/((c*c**(-39))/c)*c)/c)/c)/c)/(c/c**(2/43))*(c*c**7*c)**(-2) assuming c is positive.
c**(862/43)
Simplify (((p*p**6)/p)/(p*p**(-1/6))*((p**0/p)/p)/p**(-6))/((p**5/p)/(p/p**(-6))*p**1/(p**(1/2)/p)) assuming p is positive.
p**(32/3)
Simplify ((f/f**(-2/9))**(-2/5)*((f/(f/f**(-2/5)))/f)**(2/11))/((f**1)**28)**14 assuming f is positive.
f**(-194408/495)
Simplify ((c**(1/15)*c*c*c*c/(c/c**(1/30)))**(-1/11))**(-1/15) assuming c is positive.
c**(31/1650)
Simplify ((z/z**1)**(1/13)*(z*z**(2/9))/(z/(z**(-1)/z)*z))/(z**(-2/11)*z/z**(1/3)*(z*z*z**(-2/3)*z)**(-11)) assuming z is positive.
z**(2218/99)
Simplify (x**0*x*x*x**(-1/7)*x)**(-1/8)/(((x/x**2*x*x)/x)/(x*x**(-4)))**(-20/7) assuming x is positive.
x**(115/14)
Simplify (((q*q/(q**(-5)*q))/((q**(-4/3)/q)/q))/(q**(-2)/q**(-8)))/(((q/q**1)/((q/q**(-3/7))/q))/(q*q**(-4)*q**(-6))) assuming q is positive.
q**(-110/21)
Simplify (p*(p/p**(-1/4))/p)**(-47)*p**(6/11)*p**(3/4)*(p**(-4/11)/(p**(-3/2)*p))**(1/41) assuming p is positive.
p**(-4711/82)
Simplify ((y**(-4/9)/y**(-2/7))/(y**0*y**(-3/5)))/((y*((y*y**(-2/5))/y)/y)/(y*y**(2/3)/y)*y**(-1/6)*y*y/(y*y**(-2))) assuming y is positive.
y**(-167/126)
Simplify (((s/s**(-1/11))/s*s**(4/13))/(s**(-6/13)*s**(-5/3)*s))**(-40) assuming s is positive.
s**(-26200/429)
Simplify (((b**(2/83))**(-23))**(-5/13))**(-3/8) assuming b is positive.
b**(-345/4316)
Simplify ((v**6/v**4)/(v**(-2/3))**(-42))/((v**(4/3)*v)/v**1)**46 assuming v is positive.
v**(-262/3)
Simplify ((w*(w/w**(-9))/w*w)/w**(5/3))**(3/2)*((w**(1/4))**(7/9))**(6/31) assuming w is positive.
w**(2611/186)
Simplify (((l**(-1))**43/((l/(l/(l*((l**1/l)/l)/l)))/l)**(-8))**29)**36 assuming l is positive.
l**(-61596)
Simplify (((p/(p/(p/p**7*p)))/p**(1/4)*(p/p**9)/(p*p/(p*p*(p**7*p)/p)))**(2/39))**31 assuming p is positive.
p**(-775/78)
Simplify ((f/(f*f*f/((f**4/f*f)/f)*f))/f**(1/4))/((f*f**(-6))/f**(3/2))*((f/((f/f**(-2/7))/f)*f)/(f**(-2)*f))**(2/71) assuming f is positive.
f**(12577/1988)
Simplify (x/((x**3*x*x)/x)*x**(3/8))**29*((x**(5/6)*x*x)/x**2)/(x**(2/3))**(-7/9) assuming x is positive.
x**(-16151/216)
Simplify (v*v*v**(-1/4)/v)**(-24/13)/(v**1*v)**(-2/5)*(v**0/((v/(v*v*v*v*v**(-1/4)*v*v))/v))/((v/v**(3/7))/(v*v**2*v*v)) assuming v is positive.
v**(17461/1820)
Simplify (((y/y**(-7))/y)/(y*y**(8/5)*y))**(6/7)/((y/(y/y**1))**45/(y*y*y/y**(-5)*(y/(y*y*y/(y/y**(-5))*y))/y)) assuming y is positive.
y**(-1123/35)
Simplify ((((p**20*p)**(-29/4))**43)**(-11/3))**(1/11) assuming p is positive.
p**(8729/4)
Simplify ((f/(f**4*f))/f**(-2/7))/(f**(-3)/(f*f**(-6/5)/f*f))*(f**(-1))**11*(f**(-1/3))**(-24) assuming f is positive.
f**(-137/35)
Simplify ((z**10/z**27)/(z**25*z/z**(-14)))**(-24) assuming z is positive.
z**1368
Simplify ((c*c**(-30)*(c**(-6/11)*c*c)/c)/(c**22*(c/(c/((c*c/(c*(c*c*c**3/c*c)/c)*c)/c)*c))/c*c))**(2/89) assuming c is positive.
c**(-1024/979)
Simplify (((v**(-2/11)*v)/v)/v**(-2/9)*(v/((v/(v**(1/5)/v))/v*v))/v*v**(-4/5))/((v**(2/3))**24*(v**(-3/11)/v)/v**(5/4)) assuming v is positive.
v**(-31753/1980)
Simplify (s*s**(-2))**(2/15)*(s**(-2/5))**(18/5)*(s**1)**(3/43)/(s*s**5*s**(1/3)*s) assuming s is positive.
s**(-28499/3225)
Simplify (q**(-4/9))**(-1/8)*q**(-4/11)/(q/q**(1/32)) assuming q is positive.
q**(-4045/3168)
Simplify (q**(-2/5))**(-2/59)*(q**(-1)/q)**(3/8)*((q**0*q)**(5/4))**(3/29) assuming q is positive.
q**(-5194/8555)
Simplify ((((u**(-6/13)*u)/u)/u)/(u**5*u))**(1/11)/((u/u**(4/3))**(10/17))**(-4) assuming u is positive.
u**(-10667/7293)
Simplify ((r*r**(2/37))/((r*r**(-1/6))/r*r))**16/(((r*r**(-3)*r)/(r/(r/(r**0*r*r*r*r)*r)))/((r*r**(-8)*r)/r**6)) assuming r is positive.
r**(-496/111)
Simplify ((l/((l/l**32)/l*l))**(-1/16)*(l**(-17))**(-3/7))**(-2/27) assuming l is positive.
l**(-74/189)
Simplify ((y/y**(-6))/(y/y**(-6)))/((y*y/(y**3*y)*y*y)/(y**(-1/3)*y))*(y**(3/5)/y*y*y/(y**5*y))**(18/13) assuming y is positive.
y**(-1058/195)
Simplify (l/(l*l*l**2)*l**(-3/2)/l*(l*l**0)**(-3/14))/(((l/((l/(l*l**7*l))/l*l*l))/(l/(l*l/(l**(5/2)*l*l))))/(l**1/l)**21) assuming l is positive.
l**(-143/14)
Simplify ((((s**(2/3)/s)/s**(3/8))**(-28))**(2/99))**39 assuming s is positive.
s**(1547/99)
Simplify ((u*u**26*u**(-1/5))/((u**23/u)/((u/(u/u**14*u))/u)))**(-47) assuming u is positive.
u**(-3948/5)
Simplify (((g/g**(-1))/g)/g)**40/(g**1*g)**(-44)*g**(1/2)*g*g**4*(((g/(g/g**(-2/11))*g*g)/g)/g)/g*g**(-1/2) assuming g is positive.
g**(1010/11)
Simplify (z**(6/11)/(((z*z**(-12)*z*z)/z)/z)*(z/(z/(z*z**(-4/3))*z)*z*z*z)**(-15))**(-1/77) assuming z is positive.
z**(148/847)
Simplify t**(1/13)*t**(-2/19)*(t/t**(-4/7)*t)/(t**(-19)/t) assuming t is positive.
t**(38977/1729)
Simplify (((((w**7/w)/w)/w)/w**(-2)*(w**(-1))**(2/3))**(-31))**(-2/31) assuming w is positive.
w**(32/3)
Simplify c**(-1/18)*c**(-25)*(c**7/c*c)**(3/17) assuming c is positive.
c**(-7289/306)
Simplify ((m**(-1))**(-4))**13/((m**0)**(-2/13)/(m**(-1/7)/m*m**(3/4))) assuming m is positive.
m**(1445/28)
Simplify (o**(1/4)/(o*o**(2/5)*o)*o**(2/3)*o*o**(-1/3)/o)/(((o*o/((o/o**(-1))/o*o))/o)**(-24))**(-1/39) assuming o is positive.
o**(-937/780)
Simplify (((w*w*w*w*w**11/w*w*w)/(((w*w*w*w**(-1/4)/w)/w)/w))/((w**(2/17)/w)/(w**0*w)))**(-28) assuming w is positive.
w**(-8631/17)
Simplify ((f**(-6/5)*(f*f/((f**(-8/3)*f)/f))/f*f)/((f*f/f**16)/(f/(f/(f*f**(-1/6)))*f)))**(2/9) assuming f is positive.
f**(193/45)
Simplify ((i**(3/8)*i*i**(-10/9))/(i**(2/9)*i*i**(-1/7)))**(-11/3) assuming i is positive.
i**(1507/504)
Simplify ((d**1*d**(-28))/(d**(1/33)*d*d/d**3))**(-4/21) assuming d is positive.
d**(3436/693)
Simplify (((v*v*(v*v/v**5)/v)/(v/(v*v**(-5)*v)))/(v**(-1/3)/v)**(6/17))/(((v/v**(-2/3))/v)**(3/4))**24 assuming v is positive.
v**(-298/17)
Simplify ((((p**(1/7)/p)/p**(2/5))/(p**(4/3)*p**(1/4)*p))**(-12))**42 assuming p is positive.
p**(9678/5)
Simplify (t**0)**(-4/31)/(((t*t*((t**(-1/2)/t)/t)/t*t*t)/t)/t)**(-9/5)*((t*t**(-1/2)*t)**(-2))**(-5/12) assuming t is positive.
t**(-29/20)
Simplify ((q**(2/7)*q**(-7/3))/(q*q**(1/3))**(-27))/(((q**0*q)/q)**(2/73))**(-9/8) assuming q is positive.
q**(713/21)
Simplify ((f*f**(-2/3)*f)/f)/(f**(2/9)*f)*(f**(-5)*f)/f**(-3/8)*(f**(1/11)/f*f*f/f**(1/4))**(1/7) assuming f is positive.
f**(-24359/5544)
Simplify ((r*r/r**(-17)*(r/r**(-9/4)*r)/r)/(r*r**5)**(27/2))**6 assuming r is positive.
r**(-705/2)
Simplify ((v**(-1/4))**7)**(-17)/(((v**(-1/2)*v)/v*v*v)**(1/4)/(v**(-2)*v**5/v)) assuming v is positive.
v**(251/8)
Simplify ((q*q*(q/(((q*q*q**7*q)/q)/q))/q)/q**(-3/2))**11/((q**(-1))**(2/41)*(q**1)**(-2/5)) assuming q is positive.
q**(-20111/410)
Simplify (s*(s/s**(9/8))/s*((s*s*s*(s*s*s/s**(-23/5)*s)/s)/s)/s*s/s**(-27)*s*s**(3/7)/s)**(-5/3) assuming s is positive.
s**(-10333/168)
Simplify ((g/g**(1/7))/(g/(g*g*g/(g*g*g/g**4*g)*g*g))*(g*g*g**(-2/9)*g)**(1/27))/((g**1)**(-2)/(g**(-2/7)/g)**(10/3)) assuming g is positive.
g**(4549/1701)
Simplify (((a*a**(-3/5)*a**(-13))/(a**(5/3)/(a*a*a**1)))**(5/8))**(-2/77) assuming a is positive.
a**(169/924)
Simplify (t**1*t)**46/(t**(-1/4))**(-10)*((t**(2/9)/t)/(
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{
"pile_set_name": "DM Mathematics"
}
|
c
Let u(g) = 1614494*g. Let k(h) = 4*h**2. Determine k(u(v)).
10426363504144*v**2
Let n(i) = -i. Let d(b) = -6*b. Suppose -3*l = 3*f - 2*f + 6, -5*f - 8 = 4*l. Let k be l/6*(1 + 2). Let j(c) = k*d(c) + 5*n(c). Let m(t) = 4*t. Give m(j(a)).
4*a
Let a(x) = -2*x. Let d(f) = 300562*f + 1. Calculate d(a(t)).
-601124*t + 1
Let r(h) = -6*h. Let m(n) be the first derivative of 2 - 6*n**2 - 14/3*n**3 + 0*n. Let f(x) = -x**2 - x. Let d(u) = -12*f(u) + m(u). What is r(d(s))?
12*s**2
Let q(c) = c**2. Let v(j) = 14*j + 5. Let z(s) = -7*s - 2. Let a = -10 + 5. Let x(m) = a*z(m) - 2*v(m). Give x(q(n)).
7*n**2
Let y(j) = 9*j**2 + 4*j + 12. Let u(w) = 5*w. Calculate u(y(k)).
45*k**2 + 20*k + 60
Let p(u) = 3*u. Let d(s) = 6309*s**2. Determine p(d(m)).
18927*m**2
Let l(d) be the first derivative of -2 - 5/3*d**3 + 0*d + 0*d**2. Let x(n) be the third derivative of n**5/60 - 2*n**2 - 84*n. Calculate x(l(j)).
25*j**4
Let b(v) = 6*v. Let c(m) = 6*m**2 + 5*m. Let k(l) = 7*l**2 + 6*l. Let o be 132/(-20) - (-6)/10. Let y(u) = o*c(u) + 5*k(u). Determine b(y(g)).
-6*g**2
Let b(t) = 0*t - 6*t**2 + 0*t. Let z(f) be the first derivative of -3*f**2/2 + 145. What is z(b(g))?
18*g**2
Let y be (-1)/((3/(-6))/1). Let h(x) = 2*x**2 - x**2 + 0*x**y - 5*x**2. Let w(n) be the second derivative of n**4/3 + n. Give h(w(o)).
-64*o**4
Let t(u) = u**3 + 2*u**2 + 7*u - 12. Let g be t(3). Let p(z) = g*z - 115*z + 58*z. Let a(k) be the third derivative of -k**5/30 - 2*k**2. What is p(a(y))?
6*y**2
Let l(w) = 120656*w. Let z(o) = 2*o. Determine l(z(k)).
241312*k
Let k(o) = 2*o. Let c(z) be the first derivative of z**2/2 + 5. Let m(x) = -7*c(x) + 4*k(x). Let v(d) be the second derivative of d**3/3 - d. Calculate v(m(u)).
2*u
Let c(o) = -1024*o**2. Let h(z) = 1587*z**2 - 2. Determine h(c(i)).
1664090112*i**4 - 2
Let v(g) = 2*g**2. Let u(k) be the first derivative of 135*k**2/2 - 132. What is u(v(r))?
270*r**2
Let q(s) = -9*s. Let x(y) = 3*y. Let n(o) = 6*q(o) + 17*x(o). Let w(a) = -89*a - 100*a + 280*a - 95*a. Determine n(w(g)).
12*g
Let q(t) = -3*t**2. Suppose 3*c - 37 = -4. Let w(k) = -c*k - k - k + 5*k. Give w(q(v)).
24*v**2
Let g(p) = -3*p**2. Let j(a) be the third derivative of 3*a**4/8 + 8*a**2 - 17. Determine g(j(n)).
-243*n**2
Let x(i) be the second derivative of i**4/6 - 12*i - 3. Let w(z) = 2*z + 2. Calculate w(x(t)).
4*t**2 + 2
Let w(k) = k**2. Let u(f) be the first derivative of 28*f**3/3 + 2. Let c(l) = -l**2. Let z(i) = 21*c(i) + u(i). What is z(w(b))?
7*b**4
Let s(c) = -4*c**2 - 9*c. Let i(b) = b**2 + 3*b. Let h(y) = -6*i(y) - 2*s(y). Let o(d) = 7*d**2. Give h(o(x)).
98*x**4
Let j(c) = 27*c. Let y(n) = -171*n. Calculate j(y(t)).
-4617*t
Let u be 5 - 2/(-6)*-3. Suppose -u*t + 18 = 4*o - 18, -t - 12 = -2*o. Let i(z) = z - o*z - 6*z - 2*z. Let f(y) = -y. What is f(i(j))?
14*j
Let n(v) be the second derivative of -v**7/2520 - v**4/12 - v. Let r(o) be the third derivative of n(o). Let p(f) = -49*f + 98*f - 50*f. What is r(p(b))?
-b**2
Let w(z) = -3*z. Let n(r) be the third derivative of 17*r**5/60 + 328*r**2. Give n(w(m)).
153*m**2
Let f(u) = -4*u + 3. Let r(o) = -4 + 5 - 6 - 2 + 9*o. Let i(g) = 14*f(g) + 6*r(g). Let l(k) = 2*k. Give i(l(b)).
-4*b
Let p(t) be the first derivative of 100*t**3/3 + 149. Let z(l) = -3*l. What is p(z(d))?
900*d**2
Let s(p) = 5*p**2. Let r(j) = 8339*j - 1. What is r(s(z))?
41695*z**2 - 1
Let r(d) = -55*d + 8 - 8 + 54*d. Let g(f) = 28*f**2 - 2. Calculate g(r(c)).
28*c**2 - 2
Let r(u) = 4*u**2. Let v(i) = 552989*i. Give r(v(j)).
1223187336484*j**2
Let n(i) = -2*i**2. Let k(b) = 2*b**2 + b - 4. Let c(a) = 49*a**2 + 4*a - 17. Let m(r) = -c(r) + 4*k(r). What is n(m(l))?
-3362*l**4 + 164*l**2 - 2
Let l(w) = 38061*w**2. Let a(d) = -d**2. Give a(l(j)).
-1448639721*j**4
Let o(x) = -4*x. Let z(p) = 9*p**2 + 5*p - 5. Let w = 14 + -12. Let r(c) = -w*c + 2 + 5*c**2 - 9*c**2 + 0*c. Let d(i) = -5*r(i) - 2*z(i). Calculate o(d(q)).
-8*q**2
Let g(q) be the second derivative of q**3/6 - 9*q. Let v(o) = -6*o**2. Calculate g(v(t)).
-6*t**2
Let d(j) = 23*j**2. Let t(u) = -6*u**2 + 8*u. Let b(y) = 35*y**2 - 50*y. Let r(c) = -4*b(c) - 25*t(c). Determine d(r(h)).
2300*h**4
Let j(z) = 30*z. Let y(w) be the first derivative of -4*w**3 - 65. Calculate j(y(h)).
-360*h**2
Let q(b) = -2995*b**2. Let f(a) = 91*a**2. Give f(q(w)).
816272275*w**4
Let x(g) = 27*g. Let t(y) = 43*y**2 - 47. Give x(t(f)).
1161*f**2 - 1269
Let a(o) = 2*o**2. Let b(p) = -161*p + 37*p + 85*p + 2. Give a(b(l)).
3042*l**2 - 312*l + 8
Let d(g) = 3*g + 55. Let i(v) = -v - 20. Let s(o) = 4*d(o) + 11*i(o). Let h(r) = -597*r**2. Calculate h(s(m)).
-597*m**2
Let y(a) = 16649*a**2 + 3*a + 1. Let x(c) = 2*c. Calculate x(y(q)).
33298*q**2 + 6*q + 2
Let n(q) = 2*q. Let f(v) = 114*v - 1731. What is n(f(c))?
228*c - 3462
Let r(m) be the second derivative of m**4/4 + 24*m + 2. Let b(d) = -8*d**2. What is b(r(u))?
-72*u**4
Let r(l) = l**2 + 59. Let b(j) = -4309*j**2. Calculate r(b(a)).
18567481*a**4 + 59
Let n(d) be the first derivative of d**6/180 + 5*d**3 - 2. Let f(i) be the third derivative of n(i). Let k(v) = -18*v. Determine k(f(h)).
-36*h**2
Let g(c) = 11*c + 3*c - 16*c - 2*c. Let j(l) = -2 + 3*l**2 + 2. What is j(g(s))?
48*s**2
Let b(q) = 2*q. Let c(z) = 857897*z. Calculate b(c(o)).
1715794*o
Let f(j) = -7*j - 6. Let x(c) be the third derivative of -7*c**4/12 - 5*c**3/3 - 2*c**2 + 19*c. Let z(k) = -5*f(k) + 3*x(k). Let y(b) = -4*b. Determine z(y(v)).
28*v
Let i(r) = 2*r**2. Let q(s) = s**2 + s + 1. Suppose 10 - 8 = -w. Let f(d) = d**2 - 2*d - 2. Let l(o) = w*q(o) - f(o). Calculate l(i(t)).
-12*t**4
Let s(j) = j. Let h(a) be the third derivative of -1/120*a**5 + 0 + 0*a - 8*a**2 - 1/3*a**3 + 0*a**4. Let y(w) be the first derivative of h(w). What is y(s(o))?
-o
Let u(g) = -2*g**2. Suppose 49 + 31 = 4*k. Let w = -17 + k. Let m(s) = w*s - 2*s + 3*s - 3*s. What is m(u(o))?
-2*o**2
Let r(f) = 5*f. Let d = -78 + 83. Let n(j) = -7*j. Let z(s) = -4*s. Let l(i) = d*z(i) - 3*n(i). What is l(r(b))?
5*b
Let a(w) = -w**2 + w + 4. Let h be a(2). Let x(t) = -4*t + h*t + t. Let f(m) = -24*m. What is x(f(d))?
24*d
Let f(m) = -6*m**2 - 6. Let g(y) be the third derivative of 5*y**4/24 - 616*y**2. Calculate g(f(t)).
-30*t**2 - 30
Let h(v) be the third derivative of v**8/6720 + v**5/10 + 20*v**2. Let s(g) be the third derivative of h(g). Let i(x) = -x. Give s(i(d)).
3*d**2
Suppose -2*o - 25 = -77. Let h(y) = o*y**2 - 15*y**2 - 9*y**2. Let c(v) = 1 + 6*v - 1. Calculate h(c(t)).
72*t**2
Let l(x) = 2*x. Let t(p) be the first derivative of -29*p**5/60 - p**2 - 2. Let o(v) be the second derivative of t(v). Calculate o(l(z)).
-116*z**2
Let o(z) = 12039*z**2. Let a(c) = -c**2. Give a(o(r)).
-144937521*r**4
Let n(f) = -5*f + 1. Let j(d) = 3*d**2 - 5*d + 5. Let o(m) = -m**2 + 2*m - 2. Let b(l) = 2*j(l) + 5*o(l). Give b(n(k)).
25*k**2 - 10*k + 1
Let g(d) = -10*d. Let u(s) = 26603*s**2 + 1. Give u(g(p)).
2660300*p**2 + 1
Let n(y) = -1047*y - 17. Let x(m) = 3*m**2 + 11*m. What is n(x(t))?
-3141*t**2 - 11517*t - 17
Let j(r) = -r**2 + 11*r - 6. Let w be j(10). Let q(k) = w*k + 9*k + 0*k. Let s(a) = -5*a**2 + 0*a**2 + 4*a**2. What is s(q(l))?
-169*l**2
Let g(b) = -4*b. Let w(n) = -67*n + 35*n + 30*n - 2*n**2. Let a(i) be the third derivative of i**4/24 - i**2. Let m(j) = 2*a(j) + w(j). Determine m(g(c)).
-32*c**2
Let i(w) = 2*w**2. Let z(d) be the second derivative of -95*d**3/6 - 236*d. Determine z(i(s)).
-190*s**2
Let u(k) = -2*k. Let d(n) = 9*n + 1. Let q be d(-1). Let g = q + 10. Let b(j) = 9*j**2 - 2*j**g - j**2 - j**2. Give u(b(c)).
-10*c**2
Let w(r) = -3*r**2. Let p(g) = 91*g**2 - 2*g - 40*g**2 - 62*g**2. Determine w(p(u)).
-363*u**4 - 132*u**3 - 12*u**2
Let u(v) be the second derivative of -3*v**3/2 + v. Let j(l) be the first derivative of -l**2/2 - 1010. What is j(u(i))?
9*i
Let t(b) = 35625*b. Let o(r) = -2*r**2. Determine t(o(m)).
-71250*m**2
Let z be 1/(-1)*(-2)/1. Let d(s) = 143 - 143 - 2*s**z. Let p(i) = -20*i. What is d(p(w))?
-800*w**2
Let y(s) = 33*s - 50*s + 18*s. Let d(k) = 2*k**2 + 40*k. Give y(d(g)).
2*g**2 + 40*g
Let u(q) = 7*q**2. Let x(y) = -176299*y**2. Give u(x(r)).
217569361807*r**4
Suppose -9*n = -8*n - 2. Let h(b) = 3*b**2 - 26*b**2 + n*b**2. Let t(f) = -2*f. Calculate t(h(c)).
42*c**2
Let v(g) = g + 80. Let u(a) = a. What
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{
"pile_set_name": "DM Mathematics"
}
|
mber?
False
Suppose 12 = -l + 3*q, -2*l + 4*q - 15 = 5. Let y be 25891/9 + 1/(-27)*l. Suppose j - 4192 = y. Is j a composite number?
False
Suppose -7*q = -6*q + 51. Let m = -47 - q. Suppose m*i + 221 - 729 = 0. Is i prime?
True
Suppose 25*k - 28*k - 36 = 0. Is (153/k)/((-3)/548) prime?
False
Let y = -59341 - -129900. Is y prime?
False
Suppose 3*h - x + 49 = -2*x, -h - 5*x = 35. Is (3158/(-12))/(h/(-45))*-22 prime?
False
Let r = 4992 - 5009. Let y(g) be the first derivative of g**3/3 - 23*g**2/2 - g + 1. Is y(r) composite?
True
Suppose 0 = 30*g - 3294625 - 5615945. Is g a prime number?
True
Suppose -6 = 3*q, -35349 = 15*p - 16*p + 4*q. Is p a prime number?
False
Let d = -4258 + -5695. Let l = 18304 + d. Is l prime?
False
Is (3 - (-21)/(-6))/(46/(-7313356)) prime?
True
Is (-361917)/6*(-11)/55*40/12 a prime number?
True
Let i = 477246 - 296617. Is i a prime number?
True
Let b(s) be the first derivative of -5*s**2/2 + 21*s + 14. Let u be b(6). Let t = u + 76. Is t a prime number?
True
Suppose 5*m + 2*g = -1015 - 590, -5*m - 1605 = -5*g. Suppose 0 = 3*t - 5341 + 295. Let x = t + m. Is x composite?
False
Suppose 0 = l - 1207 - 161. Suppose -4*q + 3*q - 5*k + l = 0, -1365 = -q - 2*k. Is q composite?
True
Suppose 36738 = 5*o - 4*y, -4*y = -3*y - 3. Suppose 6*d = -0*d - o. Let i = -522 - d. Is i prime?
False
Let y(u) = u - 1. Let d be y(-4). Let r = d + 9. Suppose -823 = -r*i + 1341. Is i a composite number?
False
Suppose 6*c + c = 64435. Let b = c + -3062. Is b prime?
True
Let c(n) = -4*n - 40. Let y be c(0). Let t = y - -42. Suppose -3*w + t*i + 3722 = -1473, -3*i = -5*w + 8659. Is w a composite number?
False
Let p be (5/4)/((-15)/(-60)). Suppose 2*h = p*j - 30, j - 6 = h - 0. Is ((933/2)/3)/(3/j) a composite number?
False
Suppose 8*p - 5*p + 113 = 4*b, p - 49 = -2*b. Is 20 - b - (-21514 - (3 - 2)) composite?
True
Let f be (-5 - -3) + 1*-1. Let v(d) = -14 + 28*d**2 + 0*d + 10 - 5*d. Is v(f) prime?
True
Let h(q) = 19876*q - 4425. Is h(4) a composite number?
False
Let t be 1/(-1) - (-1 - -4)/(-1). Suppose -7*d = t*d - 81333. Suppose 8*p = p + d. Is p a prime number?
True
Suppose -143*c = -145*c + 3*f + 200468, -2*f + 200458 = 2*c. Is c a prime number?
False
Let o(x) = -34*x**2 + 8*x - 51. Let y(v) = -34*v**2 + 7*v - 51. Let h(i) = -3*o(i) + 2*y(i). Is h(5) composite?
True
Let i(k) be the second derivative of k**6/24 - k**5/12 - k**4/8 - 7*k**3/6 - 13*k**2 - 7*k. Let s(m) be the first derivative of i(m). Is s(8) composite?
True
Let k = 219841 + -146490. Is k a prime number?
True
Let f(b) be the first derivative of 24 + 5272/3*b**3 - 2*b**2 - 3*b. Is f(-1) prime?
True
Suppose 0 = -11*f - 2*f + 143. Suppose 0 = -f*p + 40456 - 12923. Is p composite?
False
Let u be (-12935)/10*(2 - 0). Let b = u + 6508. Is b a prime number?
False
Let x(d) = -63 - 4*d + 121*d**2 + 63. Let t be x(2). Suppose -34*b + 30*b + t = 0. Is b a composite number?
True
Let z = 5355 - -17056. Is z a prime number?
False
Suppose 0 = -5*d - 121 + 141. Is ((-12)/d - -434)/(3/3) a composite number?
False
Let q = 371889 + -147916. Is q prime?
False
Suppose -2*d - 5*x = d - 115884, -d + 5*x = -38648. Suppose 11861 + d = 2*q. Is q a prime number?
True
Suppose 2*i + 2*f + 33 = 5*f, 5*i + 40 = -f. Let q be i/6*(-8)/6. Suppose 5*r + 5*c = q*c + 3586, 5*r - 3*c - 3604 = 0. Is r a prime number?
True
Suppose 13 + 7 = d + 2*h, 4*d - 89 = -5*h. Suppose 52797 = d*n - 23*n. Is n composite?
False
Let b = 60169 + 21162. Is b prime?
True
Let q(w) = 1036*w + 1735. Is q(24) a composite number?
True
Let g = 220 + -225. Is g*(-95543)/175*(-2 + 7) a composite number?
False
Suppose 0 = -9*n + 13*n + 3*x - 462263, 5*n - 577883 = 4*x. Is n a composite number?
False
Suppose -8*m + 6*m = -43*m + 3388199. Is m a composite number?
True
Is (-9)/(-6)*685384/42 prime?
False
Let s(g) = 124*g**2 + 22*g + 1234 + 183*g**2 - 1256. Is s(1) prime?
True
Suppose -26917 = -4*x - 7*x. Let t = x - 686. Is t a prime number?
False
Let t be (3/6)/(3/6). Let q be (2399 - 0) + t + 2. Is q/22 + (-4)/22 a prime number?
True
Let u = -15 + -9. Let f = 27 + u. Suppose f*c + 3*v = c + 239, 2*c + 2*v = 236. Is c prime?
False
Let x(s) = -s**3 - 18*s**2 + 31*s - 1. Let i = 136 + -66. Let g = 50 - i. Is x(g) a prime number?
True
Let k(o) = -22*o**3 - 15*o**2 - 93*o + 17. Let m be k(-9). Let y = -3226 + m. Is y a prime number?
True
Let l(z) = z + 9. Let o be (-39 - -3)*1/(-2). Let s be l(o). Is (-2720 + -2)*(s/(-6) - -4) composite?
False
Suppose 164*i - j = 162*i + 88764, -2*j = -2*i + 88766. Is i a prime number?
True
Let g = 105601 + 77148. Is g a composite number?
True
Suppose 0*q + 11*q - 176 = 0. Suppose -2*f = -f - 5*i + q, 0 = -f - 4*i + 20. Is ((-1984)/(-96))/(1/(66/f)) composite?
True
Is 45/18*(-195010)/(-25) a prime number?
True
Let g = -2824 - -6657. Suppose 15*h = 14*h + g. Is h prime?
True
Suppose 17*s + 34434 = -s. Let a = s + 2924. Is a prime?
False
Let n(p) = p**2 - 3*p - 3. Let f be n(11). Let l = f + -80. Suppose z = -2*u + 104 + l, -5*u = 2*z - 215. Is z a composite number?
True
Suppose 230 = -0*t - 5*t. Suppose 1 = -2*r + 2*z - 3*z, 0 = -5*r - 5*z + 5. Is t/(-23)*(-331)/r prime?
True
Let k be 4 - 4 - ((-15)/(-1))/(-3). Suppose 0 = -k*u + b + 30, -u - 3*u = 4*b. Suppose u*m - 6*m = -799. Is m a composite number?
True
Suppose 337*j - 341*j + 5448 = 0. Suppose 5*c - j = 4*r + 3087, -3*r = 3. Is c prime?
False
Suppose 339*j - 1989012 = -4*u + 347*j, -3*j + 497263 = u. Is u prime?
True
Let x(d) = -7*d**3 + 19*d**2 - 16*d - 7. Let i(a) = a - 12. Let m be i(8). Let c(f) = -3*f**3 + 9*f**2 - 8*f - 3. Let k(j) = m*x(j) + 9*c(j). Is k(8) composite?
False
Let u = -118 + -53. Let q be 1/(-5) - u/(-45). Let f(n) = -51*n - 3. Is f(q) a prime number?
False
Let r(d) = 7*d**3 + 9*d**2 + 26*d + 131. Is r(14) a composite number?
False
Let k = -16 - -7. Let p be 7/14 + k/(-2). Suppose -745 = p*h - 6*h. Is h a prime number?
False
Let t = 33993 + -23967. Let q = t + -6433. Is q a prime number?
True
Let k be ((-52)/26)/(4/(-13818)). Let l = 16166 - k. Is l a prime number?
True
Let f(y) = 213*y**2 - 140*y - 5480. Is f(-63) a prime number?
True
Let d(o) = 839*o**2 - 85*o - 965. Is d(-19) prime?
True
Let v(m) be the third derivative of -349*m**4/24 - 104*m**3/3 - 79*m**2. Is v(-18) a composite number?
True
Let d = -252 - -107. Let l(i) = -5*i**3 - 9*i**2 + 9*i - 19. Let k be l(5). Let g = d - k. Is g a composite number?
True
Let x = 260441 + -162568. Suppose 29*j - 2844 = x. Is j composite?
True
Suppose -v - 4*k = -4146, k + 12438 = v + 2*v. Let x = -2391 + v. Suppose 5*b = x + 1140. Is b prime?
False
Is 23 + -7 + -31 - -101368 composite?
True
Let m(t) = t**2 + 19*t + 18. Let w be m(-18). Let q(y) = -2*y**2 + 9871. Is q(w) a prime number?
True
Suppose 5617027 = 71*j - 8744640. Is j a composite number?
False
Suppose 11*k = 163*k + 20*k - 75957092. Is k composite?
True
Suppose -z - 2*c = c - 20, 4*z - c - 15 = 0. Suppose i + 65 = 5*n + z*i, -2*i - 26 = -4*n. Suppose -h = -5*o + 267, o + n*h - 4*h = 43. Is o a prime number?
True
Let w = 6 + -7. Let d be (3 - w) + -3 + -2 - 3130. Let n = d - -4824. Is n prime?
True
Let r(q) = -76*q**3 - q**2 + 6*q - 9. Let z be r(-6). Suppose -5*l + z = 4105. Is l prime?
False
Let z(l) = 5905*l**3 + l + l**2 - 22 + 23 + 0*l - 2*l. Is z(1) a composite number?
True
Is 7*54/189*(-348709)/(-2) a prime number?
True
Suppose 5*a - 3*t - 5839 = 0, -3*a + 27*t = 26*t - 3505. Is a a composite number?
True
Suppose -v = 4*s - s - 635, 4*v - 2*s = 2498. Suppose 0 = -4*a - 20, -5*k + 3*a + 174 = -v. Is k prime?
True
Is (0/(-10) - -7177)*(23 - 4) prime?
False
Let k be (5 - 9) + 6 - -7827. Let z = 12082 - k. Is z prime?
True
Let x(o) = -1533*o - 36. Let h(j) = 1532*j + 37. Let d(c) = 5*h(c) + 6*x(c). Is d(-6) composite?
True
Let q(p) be the third derivative of -5/3*p**3 + 12*p**2 + 0*p - 79/24*p**4 + 0. Is q(-9) prime?
True
Suppose -1740018 + 10266 = -12*a. Is a a composite number?
True
Let r = -15713 - -71476. Is r a composite number?
False
Let t(b) = 3*b - 4. Let o be ((-20)/(-5) - 3)*5. Let c be t(o). Suppose -c*i + 19*i = 4136. Is i a composite number?
True
Suppose -3*d = -5*f + 132264, 12*d - 88176 = 14*d + f. Let a = -23765 - d. Is a a composite number?
False
Suppose o = m + 3, -10*o = -15*o - 2*m + 8. Suppose o*b + 9195 = 7*b. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 2 + 1121010?
1121012
In base 5, what is -1001321 - -10?
-1001311
In base 11, what is 23 + 5?
28
In base 14, what is a33c - 1?
a33b
In base 11, what is -7 + 3?
-4
In base 3, what is 1010 - -212?
1222
In base 11, what is 2 - 34?
-32
In base 16, what is 226e + 5?
2273
In base 15, what is -245 + -9?
-24e
In base 13, what is -5 + 1b0?
1a8
In base 3, what is 0 - 111010?
-111010
In base 9, what is 2 + -682?
-680
In base 8, what is -1340 + 0?
-1340
In base 11, what is -424 - 9?
-432
In base 16, what is 52 - -98?
ea
In base 6, what is 1 - 100?
-55
In base 4, what is 11130 - 12?
11112
In base 13, what is 0 + 304?
304
In base 7, what is 24 - 63?
-36
In base 15, what is -ac - -4?
-a8
In base 2, what is 1101000 - 1001?
1011111
In base 15, what is -2ec - 0?
-2ec
In base 5, what is 0 + 202100?
202100
In base 6, what is -1421 + 2?
-1415
In base 9, what is -3 + -173?
-176
In base 14, what is a - 394?
-388
In base 6, what is 0 - -132?
132
In base 10, what is 1 + 744?
745
In base 2, what is 101011 - 101?
100110
In base 6, what is 243 - 3?
240
In base 12, what is 2 + -446a?
-4468
In base 13, what is -66 - 2?
-68
In base 6, what is 1044 + -14?
1030
In base 5, what is 2 + 4110?
4112
In base 13, what is -481 + 3?
-47b
In base 14, what is c56 + b?
c63
In base 3, what is 12 + -102?
-20
In base 13, what is 51 + -19c?
-14b
In base 2, what is 111001111 - -10000?
111011111
In base 15, what is 2 + -8a?
-88
In base 14, what is 25b + 5?
262
In base 7, what is -4 + 31?
24
In base 6, what is -5 + 123?
114
In base 3, what is 2120 + -112002?
-102112
In base 10, what is -2 + -48?
-50
In base 14, what is -34 - 3?
-37
In base 13, what is 2 + -30?
-2b
In base 4, what is 111 - -232?
1003
In base 13, what is -2755 - 0?
-2755
In base 13, what is 21 + -15?
9
In base 5, what is 3 + 101?
104
In base 7, what is 23105 - -2?
23110
In base 4, what is -210233 - 11?
-210310
In base 8, what is 3 - 366?
-363
In base 3, what is 2 + 202000?
202002
In base 8, what is 2 + -121?
-117
In base 12, what is -43 + -6?
-49
In base 9, what is -2 + 614?
612
In base 8, what is 2 - 305?
-303
In base 7, what is 144151 - 5?
144143
In base 16, what is -1a + -10?
-2a
In base 7, what is 0 - 2116?
-2116
In base 14, what is -34 + -c?
-42
In base 6, what is 121 + 3?
124
In base 16, what is d8 - 2?
d6
In base 14, what is 9 - -5c?
67
In base 16, what is 5 + -1?
4
In base 6, what is -31 + -404?
-435
In base 3, what is -2 - 1112?
-1121
In base 9, what is 6 - -2?
8
In base 2, what is -110110000 - 11?
-110110011
In base 9, what is -82 - 1?
-83
In base 12, what is b + -147?
-138
In base 8, what is -316 + -1?
-317
In base 15, what is e - -3e?
4d
In base 12, what is 3 + -59?
-56
In base 15, what is -17 - 0?
-17
In base 16, what is 1a - 5?
15
In base 13, what is 4 - b39?
-b35
In base 12, what is 125 - -1?
126
In base 15, what is 24 - 3d?
-19
In base 10, what is 2994 + -2?
2992
In base 10, what is 4 - -356?
360
In base 4, what is -3 - -1320?
1311
In base 15, what is 98 + 1?
99
In base 16, what is 45 - 6?
3f
In base 3, what is -20022010 + 0?
-20022010
In base 6, what is 0 + -33?
-33
In base 16, what is -1 + -25?
-26
In base 15, what is b + -22?
-16
In base 6, what is 150 - -2?
152
In base 11, what is -9 + 174?
166
In base 15, what is 96 - 5?
91
In base 6, what is 24 - -2525?
2553
In base 15, what is -50 + -17?
-67
In base 9, what is -6182 + 5?
-6176
In base 2, what is 11000 + 11000?
110000
In base 16, what is -1e + 0?
-1e
In base 12, what is -1 + 31?
30
In base 6, what is -11 - -105?
54
In base 11, what is -187 + 4?
-183
In base 11, what is -5 - -466?
461
In base 6, what is -5233 + 3?
-5230
In base 4, what is 11111 - -1?
11112
In base 10, what is 100 - -1?
101
In base 4, what is 2 + -1203?
-1201
In base 10, what is -3414 - -6?
-3408
In base 5, what is -34 - 2?
-41
In base 14, what is 2c3 + -b?
2b6
In base 11, what is -5 + 125?
120
In base 7, what is -1062 + 2?
-1060
In base 14, what is 4 + -c2?
-bc
In base 14, what is -1b8 + -10?
-1c8
In base 15, what is -25 + -17?
-3c
In base 4, what is 3 + 22?
31
In base 7, what is 0 + 220?
220
In base 5, what is 212 - -1200?
1412
In base 8, what is 3 - 125?
-122
In base 8, what is -5747 + -3?
-5752
In base 11, what is 3 + -8a5?
-8a2
In base 14, what is -1290 + 1?
-128d
In base 3, what is -11 + 1011?
1000
In base 12, what is -3 + -1b?
-22
In base 16, what is 4c + e6?
132
In base 10, what is -3 - 73?
-76
In base 6, what is 131 - -22?
153
In base 11, what is 1294 + -5?
128a
In base 15, what is 1d - -e6?
114
In base 3, what is -20 - 0?
-20
In base 11, what is -202 + 9?
-1a4
In base 4, what is 2322 - -232?
3220
In base 11, what is 436 - -2?
438
In base 9, what is -10 - 2?
-12
In base 11, what is -1a65 + -4?
-1a69
In base 15, what is -1e - 29e?
-2bd
In base 4, what is -3 - -3210?
3201
In base 9, what is 0 - -57?
57
In base 2, what is -1010001 - 10?
-1010011
In base 3, what is 12 - 12101?
-12012
In base 13, what is -4516 + 3?
-4513
In base 11, what is -1 + -74?
-75
In base 3, what is -201212 - 1?
-201220
In base 11, what is 5 - a3?
-99
In base 7, what is -5 + -20052?
-20060
In base 8, what is 4 + 1354?
1360
In base 8, what is 13 + -2?
11
In base 4, what is 12 - -12?
30
In base 15, what is -5d - 3?
-61
In base 11, what is -4 - -25?
21
In base 11, what is 1570 - -5?
1575
In base 12, what is -8b + -8?
-97
In base 2, what is -101 + -10000110011?
-10000111000
In base 12, what is -9 - -1a?
11
In base 3, what is 1001 - 100?
201
In base 8, what is -431 - -1?
-430
In base 10, what is -19050 - -2?
-19048
In base 12, what is -173 + 1?
-172
In base 16, what is 477 + -6?
471
In base 3, what is -22 + -10122100?
-10122122
In base 3, what is 110 + 10102?
10212
In base 7, what is -11 + 12?
1
In base 11, what is -637 + -1?
-638
In base 13, what is -105 - 4b?
-153
In base 4, what is 2 - -333?
1001
In base 4, what is 21123 - -2?
21131
In base 13, what is 1 + 7?
8
In base 8, what is 144 - 2?
142
In base 2, what is 10 - -110110?
111000
In base 10, what is -3 - 248?
-251
In base 9, what is -8500 - -3?
-8486
In base 5, what is 3 - -312?
320
In base 6, what is 3230 - -4?
3234
In base 3, what is 1020012 + 10?
1020022
In base 15, what is -1b - 113?
-12e
In base 11, what is 124 + -5?
11a
In base 12, what is -7 - b2?
-b9
In base 9, what is -183 + -14?
-207
In base 11, what is 27 - -13?
3a
In base 3, what is 110001 + -12?
102212
In base 10, what is 2974 + -1?
2973
In base 6, what is -5 + -54?
-103
In base 16, what is 9 - 381?
-378
In base 9, what is -254 - 3?
-257
In base 8, what is -2 + -3?
-5
In base 6, what is 2304 + -5?
2255
In base 9, what is 7542 - 0?
7542
In base 5, what is 0 + 11?
11
In base 16, what is -4 + -33?
-37
In base 12, what is 3 - -3a18?
3a1b
In base 9, what is -4 - 723?
-727
In base 2, what is -11101 - 11100?
-111001
In base 16, what is -1 + 42?
41
In base 16, what is 1 + -6db?
-6da
In base 15, what is -e + 14?
5
In base 5, what is -402410 - 10?
-402420
In base 4, what is -311 - -10?
-301
In base 6, what is 1 + 3115?
3120
In base 9, what is -240 - 7?
-247
In base 3, what is -10022201 + 12?
-10022112
In base 8, what is -5 - 6?
-13
In base 12, what is -3 + -1b8?
-1bb
In base 16, what is 19 + 4?
1d
In base 11, what is -51 + 3?
-49
In base 2, what is -111 + -1000000111101?
-1000001000100
In base 6, what is -41 + 102?
21
In base 9, what is -75 - -28?
-46
In base 15, what is d - 56?
-48
In base 7, what is 3 + 123?
126
In base 2, what is 1001111 + 101?
1010100
In base 15, what is -3 - 198?
-19b
In base 2, what is -11 + 10100000?
10011101
In base 12, what is -4 + 6?
2
In base 8, what is -4 + 601?
575
In base 16, what is -4 - -11?
d
In base 14, what is -9 - -3b?
32
In base 15, what is 14 - -171?
185
In base 7, what is 231 - -11?
242
In base 5, what is -13 + -243?
-311
In base 15, what is -9 - -8?
-1
In base 11, what is -21 - -8?
-14
In base 13, what is 22 + -b1?
-8c
In base 8, what is -53 + -435?
-510
In base 7, what is 3 + 3534?
3540
In base 10, what is 459 + -1?
458
In base 5, what is 12 + 10301?
10313
In base 9, what is 5 + -1316?
-1311
In base 3, what is 11 - 100120022?
-100120011
In base 10, what is 134 - 18?
116
In base 5, what is 4 - -310?
314
In base 15, what is -5 + a0?
9a
In base 10, what is -2 - 561?
-563
In base 15, what is -74 - -4?
-70
In base 8, what is -37 - 2?
-41
In base 8, what is -2 - 345?
|
{
"pile_set_name": "DM Mathematics"
}
|
is the highest common divisor of 11 and v?
11
Suppose -4*i = -i - 90. Suppose 0 = 3*t + 5*d - 287, -i = -t - d + 69. What is the greatest common divisor of t and 13?
13
Let w(s) = s**3 - 10*s**2 + 13*s - 2. Suppose -2*r + 17 = -3. Let i be w(r). What is the highest common divisor of 16 and i?
16
Let k be (-1 - (2 - 2))*-9. Suppose 4*w - 5*q = 645, w + 4*q = -4*w + 755. Let b be (-8)/36 + w/k. What is the highest common factor of b and 119?
17
Let z = -51 - -56. What is the greatest common divisor of 5 and z?
5
Let t = 13 + -5. Suppose 60 = x + 5*i, -3*i - 32 = -x - i. Calculate the highest common factor of x and t.
8
Let g(j) = 14*j**2 - j + 2. Let f be g(2). Suppose -3*u = 2*u + 3*n - 46, 0 = -3*u + 2*n + 20. Calculate the highest common factor of u and f.
8
Let s = 14 - 8. Let w = -48 - -96. What is the highest common divisor of s and w?
6
Let p(h) = h**2 + 17*h + 9. Let b be p(-13). Let a = -1 - b. Calculate the highest common factor of 6 and a.
6
Let t = 133 - 82. Suppose -5*s - t = -171. What is the highest common factor of 6 and s?
6
Let z be ((-2)/1)/(-5 - -4). Let y = z - -16. Let v be 2/9 + 428/y. What is the greatest common divisor of v and 3?
3
Suppose 3*w - 2*w = 2. Suppose -3*i + 75 = w*i. Suppose 3*h + i = 0, 9*y - 140 = 4*y - 2*h. Calculate the highest common factor of 6 and y.
6
Let i be 7*-6*5/(-21). What is the greatest common factor of i and 15?
5
Let a(u) = 2*u. Let v be a(2). Suppose -z = 2*w + v*z, w - 18 = 2*z. Let r = 91 - 11. Calculate the greatest common factor of r and w.
10
Let v = 8 - 10. Let j be 0 - 0 - (-19 - v). Let w = 19 + j. Calculate the highest common divisor of w and 18.
18
Let g be (63 + 1)/(-4*3/(-12)). Calculate the highest common factor of g and 16.
16
Let f be ((-5)/(-4))/((-1)/4). Let b(m) be the second derivative of -m**3/3 + 5*m**2/2 - 2*m. Let v be b(f). Calculate the highest common divisor of v and 135.
15
Suppose 2*l - 3*q - 41 = 0, l + q - 4 = -3*q. Let g = -6 + 10. Calculate the highest common factor of g and l.
4
Let k(q) = 11*q**3 + q. Suppose -5*x = g + 1, -5*g - 4*x - 2 - 3 = 0. Let y be k(g). Let o = 24 + y. What is the highest common divisor of o and 4?
4
Let z(w) = 6*w - 2. Let l(c) = -c. Let i(j) = -5*l(j) - z(j). Let t be i(-12). Calculate the greatest common divisor of 28 and t.
14
Let i be (-24)/32 + (-22)/(-8). Suppose 3*k - 4*v - 77 = 0, 2*k - 12 = i*v + 36. Calculate the greatest common divisor of 209 and k.
19
Suppose -4 = -5*q + 11. Suppose -2*i + 7*i - 17 = 3*o, 2*o = -4*i + 18. Calculate the greatest common factor of q and o.
1
Let s(a) = 8*a**2 + 6*a - 10. Let t be s(3). Let n be (-1)/2 + 260/8. Calculate the greatest common factor of n and t.
16
Let z(a) = -a + 2. Let i be z(-3). Let c be (3 - 0) + 16 + i. What is the greatest common factor of 36 and c?
12
Suppose -j + 0*j - 5 = 0. Let n = j + 8. Suppose n = -b + 17. What is the greatest common factor of 35 and b?
7
Suppose 20 = 3*c + 2*c. Suppose -4*i - 2 = -u, -c*u + 3*i = -12 + 4. What is the highest common factor of u and 8?
2
Let k = -42 + 43. What is the greatest common factor of k and 7?
1
Let o be 0 - ((-6)/4 + (-317)/2). Calculate the greatest common factor of 10 and o.
10
Let i(u) be the third derivative of u**6/24 - u**5/30 + u**3/6 + u**2. Let p be i(1). What is the highest common divisor of p and 8?
4
Let b(v) = 0 + 3*v - 3 - 1 + 3*v**2 + 1. Let c be b(2). Suppose 4*m + 196 - 871 = 5*s, -2*m = -s - 333. Calculate the greatest common factor of c and m.
15
Let o(j) = 12*j. Let t be o(7). What is the greatest common factor of t and 12?
12
Let f be 4 + (-1 - (-2 + 0)). Let p(t) = -t + 6. Let m be p(f). Let o be (4/6)/(2/6). What is the greatest common divisor of o and m?
1
Let z = -30 + 50. Let m be 1/(-2) + (-418)/(-4). Let j = m - 44. Calculate the greatest common divisor of z and j.
20
Suppose 3*q + 9*a = 4*a - 5, -a = -2*q + 14. Suppose 2*i - 67 - q = 0. Suppose -5*x - 6*x + 264 = 0. Calculate the highest common divisor of i and x.
12
Let r(c) = -c**3 - 3*c**2 + 9*c + 1. Let a be r(-5). Suppose h = -5*i + 5*h + 322, -128 = -2*i + 2*h. Calculate the highest common divisor of i and a.
6
Let d be (-3)/2*((-224)/21)/2. Calculate the greatest common divisor of d and 72.
8
Let v(i) = -3*i + 5. Let q be v(8). Let w = q - -27. Let x(r) = 7*r**2 - 5*r - 4. Let d be x(4). Calculate the highest common divisor of d and w.
8
Let t = -50 - -86. Suppose 3*z - 63 = g - 5*g, -5*g + 4*z = -102. What is the highest common divisor of g and t?
18
Suppose 5*b = -0*b - 85. Let r = b - -28. What is the highest common divisor of r and 1?
1
Let f(u) be the second derivative of u**4/2 - u**3/2 - 3*u**2/2 + 3*u. Let n be f(-3). Calculate the highest common factor of n and 40.
20
Let x be (-273)/(-15) - (-4)/(-20). Calculate the highest common factor of x and 9.
9
Let j = 23 + -20. What is the greatest common divisor of 1 and j?
1
Let w(p) = p**2 + p + 9. Let x be w(0). Suppose z - 10 - 9 = -r, 0 = -3*z - x. Calculate the highest common divisor of r and 88.
22
Let v = -6 - -14. Let r(u) = 5*u - 72. Let o(b) = b. Let h(q) = 6*o(q) - r(q). Let y be h(0). What is the highest common divisor of y and v?
8
Suppose -7*u = -4*u - 99. Calculate the highest common divisor of 33 and u.
33
Let d = 28 + -15. Suppose -k = 3*k - 52. Calculate the greatest common factor of d and k.
13
Suppose -8*t + 440 = -3*t. Calculate the highest common divisor of 11 and t.
11
Let q = -20 - -44. Suppose -5*p = -59 - 121. Calculate the highest common factor of q and p.
12
Let g = 1 - 1. Let n be 4 - 0 - (-2 - g). Let s be (-2)/n + (-122)/(-6). What is the highest common divisor of 10 and s?
10
Let h(m) = m**2 - 7*m + 99. Let f be h(18). Let p = -54 - -87. What is the highest common factor of f and p?
33
Let p(a) = 2*a - 8. Let r(j) = 4*j - 16. Let c(l) = 5*p(l) - 2*r(l). Suppose -4*m + 8 = -20. Let d be c(m). Calculate the highest common divisor of 18 and d.
6
Let y(u) = u + 0*u + 0*u + 19. Let t be y(-10). Calculate the highest common divisor of 36 and t.
9
Suppose a = 4*w + 12, -7*a + 3*w + 61 = -3*a. Calculate the highest common divisor of a and 24.
8
Suppose 2 = j + 15. Let r = j - -61. Calculate the greatest common factor of 12 and r.
12
Let f be 76/6*(-9)/(-6). Suppose f = 5*r - 26. Calculate the highest common divisor of r and 27.
9
Let c be ((-30)/4)/((-9)/18). Calculate the greatest common divisor of c and 165.
15
Let k = 122 + -70. Suppose 0 = -19*m + 21*m - 52. What is the greatest common divisor of k and m?
26
Let i be 2/(-3) - 34/(-6). Suppose 25 = i*x - 0. Suppose -2*m = -n - 95, 2*n - 80 = -0*m - 2*m. What is the greatest common factor of x and m?
5
Let w be (-10)/(-20) + 2/(-4). Suppose w = 2*r - 0*r - 4. Calculate the highest common factor of 4 and r.
2
Suppose -4*u - 5*h + 31 = 0, 5*u - 3*u + 4*h = 8. Calculate the greatest common factor of u and 42.
14
Let n = -1 + 3. Calculate the greatest common factor of 7 and n.
1
Suppose v - 5 = 3*f - 0*v, -5*v - 1 = -2*f. Let k be f + 2 + 2 + -2. Suppose 18 = -k*o + 3*o. What is the highest common divisor of o and 54?
6
Suppose -4*d + 9*d - 21 = n, -5*n = -2*d - 10. Suppose 4*b - 180 = -0*b. Calculate the highest common divisor of d and b.
5
Let a(r) = r**2 - r. Let s(m) = 2*m**2 - 4*m + 10. Let d(y) = -3*a(y) + s(y). Let g be d(0). Calculate the highest common divisor of 20 and g.
10
Let x(a) = 61*a**3 - 2*a**2 + a. Let i(p) = -2*p + 3*p + 3 + 5. Let j be i(-7). Let s be x(j). What is the highest common factor of 12 and s?
12
Let w = -1 + 1. Let l be 1*(-2 + 1 - w). Let r be (70/(-8))/(l/4). What is the greatest common divisor of r and 5?
5
Let y = -65 + 107. What is the greatest common divisor of y and 42?
42
Let s be 124*(-2)/((-32)/(-12)). Let h = s + 163. What is the highest common divisor of 10 and h?
10
Let g be (-4)/(-7) - 808/(-56). Calculate the greatest common divisor of g and 165.
15
Suppose -61 = -5*d + 4*z + 17, 4*d = -z + 75. What is the greatest common divisor of 2 and d?
2
Let g be (-4)/22 - 62/22. Let k be (-585)/(-6) + g/(-6). Calculate the greatest common factor of 14 and k.
14
Suppose 6 = 2*q - 2*g, -30 + 6 = -5*q + 2*g. Calculate the highest common divisor of q and 6.
6
Suppose 4*z - 9 - 47 = 0. Let l(t) = -23*t - 2. Let o(m) = 22*m + 2. Let u(f) = 3*l(f) + 2*o(f). Let s be u(-4). Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
ater: 9/256 or 0?
9/256
Is 0 bigger than 4/5921?
False
Is 1 greater than -0.02519?
True
Which is smaller: 9 or 7?
7
Is -4916 greater than or equal to -4918?
True
Do 37.22 and 2/3 have the same value?
False
Are -8/349 and 1 nonequal?
True
Which is smaller: -276 or 0.2?
-276
Does -625 = -4383/7?
False
Is 41 less than 45?
True
Which is smaller: -244 or -243?
-244
Which is bigger: 993 or 1000?
1000
Are -268 and -267 equal?
False
Is 10 >= 10?
True
Which is smaller: -0.1 or 103?
-0.1
Which is bigger: 90 or 92?
92
Which is bigger: 411 or 410?
411
Which is greater: -0.2 or 1344?
1344
Does -4/31 = -2?
False
Is 5 >= -215?
True
Is -0.294 at most 2?
True
Which is smaller: -3 or -9/4?
-3
Which is bigger: 625 or 624?
625
Is 3 at most as big as -0.161?
False
Is -10 equal to -115/11?
False
Which is smaller: -110 or 4?
-110
Are -4153 and -4156 equal?
False
Which is bigger: 1382/7 or 197?
1382/7
Which is greater: -9/4 or 77/2?
77/2
Is 2/189 > 1?
False
Which is smaller: -1 or 19/682?
-1
Which is smaller: -1.089 or -1?
-1.089
Which is smaller: -2233/2 or -1116?
-2233/2
Is -4253 at most -29772/7?
False
Is 39/16 >= 1?
True
Which is smaller: 4/65 or 1?
4/65
Is -1/3670 less than -1?
False
Which is greater: 40 or 0.18?
40
Is -7/299 bigger than 1?
False
Is -1.58 greater than or equal to 2?
False
Which is smaller: 4 or 10/3?
10/3
Which is smaller: -56 or -45?
-56
Which is smaller: 300/11 or 26?
26
Which is smaller: -122 or -123?
-123
Which is smaller: 0 or -25.8?
-25.8
Is -8 at least as big as -4/21?
False
Is 0 greater than -0.8297?
True
Which is smaller: 663/2 or 331?
331
Which is bigger: 71 or -20?
71
Is 198 bigger than 201?
False
Which is smaller: -318 or -0.07?
-318
Which is bigger: 6576 or 6574?
6576
Is 19139 > 19139?
False
Is 641 <= 641?
True
Which is greater: 0 or 0.02172?
0.02172
Which is smaller: 398 or 395?
395
Which is smaller: -83 or -84?
-84
Are 1 and -2/61 unequal?
True
Is 9150 at least 9149?
True
Which is bigger: -2/871 or -0.22?
-2/871
Which is smaller: -139.8 or 0.2?
-139.8
Which is greater: 1/498 or -0.5?
1/498
Is -467 < -442?
True
Are 2/1551 and 0 non-equal?
True
Is -268/7 less than -39?
False
Is 17598 smaller than 17599?
True
Are -1 and -1/3426 unequal?
True
Is -3270 less than -2/9?
True
Is 2914 at least 2914?
True
Is 373 greater than 743/2?
True
Which is smaller: -33/5 or -4?
-33/5
Is -70 greater than or equal to 1?
False
Is 1690 equal to 1690?
True
Is -1/793 smaller than 1?
True
Is -2/5 at least as big as -0.28309?
False
Are -1 and -4/99 nonequal?
True
Which is greater: -1/2 or 7087?
7087
Which is smaller: -4/35 or 0?
-4/35
Are 114 and 344/3 non-equal?
True
Is -138 >= -138?
True
Which is greater: -1 or -18/17?
-1
Are -27 and 57 non-equal?
True
Which is smaller: -397 or -401?
-401
Is 54 not equal to -3.9?
True
Which is smaller: 1/889 or 0?
0
Is -1044/23 bigger than -44?
False
Are 7 and 8 equal?
False
Do -3.8 and -2/11 have the same value?
False
Which is greater: -17/16 or -1?
-1
Is -2/3 at least as big as 20/9?
False
Are -70 and -12 unequal?
True
Which is smaller: 26 or -9?
-9
Which is smaller: 5 or 10?
5
Is -1 at most as big as -3303?
False
Which is bigger: 287 or 286?
287
Which is bigger: 1 or -136/19?
1
Which is bigger: 1 or 3/662?
1
Which is bigger: 5 or -0.11?
5
Is 73 greater than 25?
True
Which is greater: -2/7 or -144?
-2/7
Is -7 <= -1/5?
True
Are -141 and -94 non-equal?
True
Which is smaller: -32/5 or -6?
-32/5
Which is greater: -627/2 or -313?
-313
Is -2 at least as big as 59.5?
False
Is -22947 != -22947?
False
Are -38 and -37 nonequal?
True
Which is smaller: -660 or -707?
-707
Are 54596/7 and 7800 nonequal?
True
Which is greater: 0.064 or 9?
9
Which is greater: 32 or 98/3?
98/3
Are 0 and 659 unequal?
True
Is 91 >= 147?
False
Which is smaller: -2/3623 or 1?
-2/3623
Which is smaller: -381 or -380?
-381
Which is bigger: -0.1 or 69.9?
69.9
Is 1 at least as big as 1/864?
True
Is 14 bigger than 19?
False
Which is smaller: -3 or 2/43?
-3
Is 0.2 at most as big as -211?
False
Which is smaller: -3 or 0.0191?
-3
Which is smaller: 0.167 or 1?
0.167
Is -532 smaller than -2/9?
True
Which is greater: 181/6 or 31?
31
Which is greater: 1/3 or -0.922?
1/3
Which is smaller: 0 or -1/13778?
-1/13778
Which is greater: -228 or -237?
-228
Are -1 and 150/23 equal?
False
Do 1663 and 1665 have different values?
True
Which is smaller: 2 or 96/77?
96/77
Which is bigger: 121/30 or 3?
121/30
Which is smaller: -283 or 0?
-283
Is 95 at most 187/2?
False
Do 220 and 14 have different values?
True
Which is smaller: 128/5 or 0?
0
Which is smaller: -1 or 1/993?
-1
Which is bigger: 0.2 or 48?
48
Is 0 greater than 20/1049?
False
Which is bigger: 1 or 32/7?
32/7
Is 1/27976 less than or equal to 1?
True
Which is smaller: -52/33 or -1?
-52/33
Which is greater: 0 or -2/591?
0
Which is smaller: 1 or -1216?
-1216
Is -1 at least as big as 1?
False
Are 61/37 and 3 equal?
False
Do 24/35 and 1 have different values?
True
Which is smaller: 13/29 or 1?
13/29
Is 1.5 at most -2?
False
Does 1 = -2/1055?
False
Which is smaller: 0 or -11175/2?
-11175/2
Which is smaller: 14866 or 14868?
14866
Is -3949 at most as big as -3949?
True
Is -308 at most -310?
False
Which is smaller: -2/13 or 2/67?
-2/13
Is -12125 at most as big as -12124?
True
Which is greater: -1 or 38/393?
38/393
Which is smaller: -0.06 or 43?
-0.06
Which is smaller: 10 or -24?
-24
Which is bigger: -6 or 556/3?
556/3
Is 0.8 greater than 10.6?
False
Does -17293 = -17292?
False
Which is greater: -2/19 or -39.5?
-2/19
Is 5/69 > 2?
False
Does 3113 = 3110?
False
Which is bigger: -413 or -412?
-412
Are -2209 and -2208 non-equal?
True
Is 2/3 at most as big as 1371.3?
True
Which is smaller: 1/15 or -8?
-8
Which is bigger: -121 or -118?
-118
Is -27292 > -27293?
True
Is -6281 < -6284?
False
Which is bigger: -2/629 or -1?
-2/629
Is -30 < -6?
True
Is 460 at most as big as 3215/7?
False
Which is greater: 1 or -14/1921?
1
Which is greater: -87 or -90?
-87
Which is bigger: 0.3 or 313/5?
313/5
Are -2 and -330 nonequal?
True
Is 239 equal to -1.7?
False
Is 2188 >= 2186?
True
Which is smaller: 1/8 or 2/93?
2/93
Which is greater: -1/207 or -1?
-1/207
Is -182 equal to -182?
True
Is -2/7 < 24?
True
Which is greater: -86 or -63?
-63
Is -1 less than or equal to 7/8241?
True
Is 885/32 != 29?
True
Which is smaller: 0.11 or 37.9?
0.11
Which is greater: 46/217 or -1?
46/217
Is -24 less than or equal to -83?
False
Which is greater: 1 or 39/1139?
1
Is 85 less than or equal to 0.61?
False
Is -8 at least 331?
False
Which is smaller: 9 or 262/27?
9
Which is greater: -121/10 or -12?
-12
Is -1 at least -4/67?
False
Is -0.2 < -616/9?
False
Do -9871 and -1 have the same value?
False
Is 25357 at least 25356?
True
Which is smaller: 16/3 or 0.24?
0.24
Are -2 and -917 non-equal?
True
Which is greater: -27 or -17?
-17
Is 121 >= 606/5?
False
Which is bigger: 5 or 2600?
2600
Which is greater: -3 or -3/20?
-3/20
Is -1/9417 at most as big as -1?
False
Which is smaller: -206 or -207?
-207
Are 4/4401 and 1 equal?
False
Is 153 less than or equal to -4?
False
Is 1214 at least 1214?
True
Is -22/7 at least as big as -4?
True
Is -1 at least as big as -12/1309?
False
Which is bigger: 7342 or 7343?
7343
Is -2/9 != 549?
True
Is -13/2 greater than or equal to -2/9?
False
Which is bigger: -12148 or -12149?
-12148
Which is smaller: -5850 or -5849?
-5850
Is 2473 < 2466?
False
Which is greater: 1843 or 1842?
1843
Is 80 greater than 187?
False
Which is bigger: 314 or 316?
316
Are 2236/3 and 744 equal?
False
Is 8840 bigger than 8841?
False
Which is bigger: 2/3 or -14?
2/3
Which is greater: -83/4 or -20?
-20
Is -269 at most as big as 53?
True
Does 10/9 = -8?
False
Which is smaller: -1 or 2/51?
-1
Is -6/785 less than 1?
True
Is -8/49 >= -0.1?
False
Are 16/3 and -4 equal?
False
Is 330 at most as big as -2/3?
False
Which is smaller: 0 or -30?
-30
Is 7630 at most as big as 7630?
True
Is -2 equal to 2.4?
False
Are 2749/5 and 551 equal?
False
Is -1/4 < -3/9175?
True
Is -451 greater than -449?
False
Which is smaller: -175 or 0?
-175
Is -2015 less than or equal to -2016?
False
Is 2/2645 >= 0?
True
Is 1 at least as big as -53?
True
Which is greater: 1 or 1/37766?
1
Is 12729 greater than or equal to 12731?
False
Are 56 and 689/12 equal?
False
Are 1 and 1/226 unequal?
True
Which is bigger: 5/3648 or -1?
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*k**2 in the form t*k**2 + l + n*k**3 + j*k**4 + z*k and give n.
-3
Express u + 0*u - 2*u - u + u - u + (-4*u + 2*u + 4*u)*(0 + 0 - 2) - 3 + u + 3 + (-2*u + 2*u + 2*u)*(-5 + 1 - 1) in the form j*u + y and give j.
-15
Express 2*k**2 + 0*k**2 + k**2 + (2*k - 2*k - k)*(3 - 3 + 2*k) - 3*k**2 - 20 - 20 + 45 as o*k + x*k**2 + i and give i.
5
Rearrange -3*j**2 - 13*j + 13*j to r*j + s*j**2 + v and give s.
-3
Rearrange 2 + 6*l**3 - 7*l**3 - 5*l**4 + 6*l**4 - l to the form o*l + j*l**2 + z + s*l**3 + h*l**4 and give h.
1
Rearrange (-6*x**2 - 25*x + 25*x)*(-1 + 2 + 5)*((2 + x - 2)*(2 - 2 + 2*x) - x**2 + 0 + 0) to q + p*x + d*x**2 + y*x**4 + v*x**3 and give y.
-36
Express 15*k**3 - 3 + 0 - k**2 - 16*k**3 - 15 as w*k**2 + d*k**3 + h*k + u and give d.
-1
Express (-p**3 - p**3 + p**3 + (23*p + 14*p**2 - 23*p)*(-1 - p + 1))*(3*p + p - 5*p) in the form h*p**4 + u + o*p**2 + z*p + q*p**3 and give h.
15
Rearrange (2 + 3*p - 4*p - 4)*(-5 + 7 + 21) to n + t*p and give t.
-23
Rearrange -2*l**4 + 0*l**3 + 3*l**3 - 152*l**2 + 150*l**2 to y*l**4 + u*l**3 + b + z*l**2 + i*l and give u.
3
Rearrange u**2 + 16 + 12*u - 14*u + 23 to l*u**2 + a + j*u and give a.
39
Express 32 - 32 - 18*q**2 as g*q**2 + y*q + a and give g.
-18
Rearrange -f - 9*f - f + f - 4*f + 2*f + (-1 + 5 + 1)*(-3*f - f + 3*f) to o*f + j and give o.
-17
Express -h**3 - 2*h**3 + 8 + 4*h**3 as i*h**2 + r*h + d*h**3 + n and give i.
0
Express 12*t - 12*t - 5*t**2 - t**2 in the form i*t + n*t**2 + o and give o.
0
Rearrange (-4 + 4 - 2*j)*(2*j**3 + j**3 - 2*j**3) + j**4 - 5*j**4 + 3*j**4 + j - 2*j - 2*j - 8*j**4 to b + q*j + o*j**2 + n*j**4 + s*j**3 and give q.
-3
Rearrange (1 - 4 + 1)*(16*t + 10*t - 1 + 4) to u*t + a and give u.
-52
Express -27*a**3 + 9*a**3 + 8*a**3 + 6*a**2 - 2*a**4 + 8*a**3 as s + h*a**4 + x*a**3 + d*a**2 + f*a and give h.
-2
Rearrange (2*w + 1 - 1)*(-10*w - 19*w - w) + (1 + w - 1)*(2*w - 1 + 1) to k*w + g + t*w**2 and give t.
-58
Express (2 - 5 + 0)*(22*j**3 + 2*j**4 - 22*j**3) as m*j**3 + z*j**2 + x + f*j**4 + a*j and give f.
-6
Rearrange 31*f + 3 - f - 3 to the form n + g*f and give g.
30
Rearrange b**3 - 7*b**2 + 2*b**3 - 39 + 41 to v + p*b**2 + i*b + m*b**3 and give v.
2
Rearrange (-2*o + 0*o + 0*o)*(-5 + 4*o**2 + 5) + 2*o**3 + 0*o**3 + 0*o**3 + 2*o**3 + 2*o**3 - 5*o**3 to the form f*o**2 + r*o**3 + m*o + l and give m.
0
Express (8 + 9*h - 8)*(2*h + 3 - 3) - 6*h**2 + 0*h**2 + 2*h**2 - h**2 + 0*h + 0*h + 4*h - 4*h - 3*h**2 in the form p*h**2 + u*h + m and give p.
10
Express (-11*h + 1132 + 2*h**3 - 1132)*(h - 8 + 8) - 2*h**4 + 3*h**4 - 2*h**4 as c*h**3 + d*h**4 + p*h**2 + t + g*h and give p.
-11
Express 531*a**2 - 525*a**2 - 4 - 6 in the form m*a**2 + z*a + c and give z.
0
Rearrange 2*j**2 - 2*j + 4*j + 2*j**3 + 2*j - j**4 to the form d*j**4 + w*j + x + f*j**3 + b*j**2 and give d.
-1
Rearrange 46 + 12 - 2 - 2*s to d*s + k and give d.
-2
Rearrange 4*u - 6*u + 0*u + (4*u + 0*u - 5*u)*(-1 - 2 + 6) + 30*u + 38*u - 77*u to r + t*u and give t.
-14
Rearrange (-2*n**2 - n**2 + 4*n**2)*(n - 7*n - 5*n)*(-4 + 3 - 1) to u*n + z*n**3 + l*n**2 + b and give z.
22
Rearrange -4 - 2 + 2*h**3 + 2*h + 9*h**4 + 0*h**3 + 8 to the form i*h + n + d*h**3 + s*h**4 + k*h**2 and give s.
9
Express (-m + 0 + 0)*(4*m - 8 - 6*m + 11 - 22*m**3) as l*m**2 + v + a*m + s*m**3 + q*m**4 and give q.
22
Rearrange (77*h - 8*h - 2*h)*(4*h + 2*h - 4*h)*(-1 + 2 - 4) to z + u*h**2 + i*h and give z.
0
Express 5*h - 11*h + 13*h in the form v*h + a and give v.
7
Express (-2 - 20*o**2 - 1 + 1)*(-2 + 0 - 2) in the form g*o + d*o**2 + u and give u.
8
Express (-9 + 5 - 21 + t)*(-3*t + 0*t + 2*t)*(2*t + t - t) in the form u*t + x*t**2 + s + c*t**3 and give c.
-2
Express 1019*j**3 - 3 + 3 - 989*j**3 - 2*j as v + p*j**3 + y*j**2 + l*j and give p.
30
Express -s**2 + 116*s**3 - 2*s**4 + 3*s - 116*s**3 as j + q*s**4 + b*s**3 + h*s + k*s**2 and give b.
0
Rearrange 5 - 6*d**2 + 7 - 3 to the form s*d**2 + m + a*d and give m.
9
Rearrange -2*s**3 + 2 + s**3 - s - s**3 + 2 to x + q*s + d*s**3 + u*s**2 and give q.
-1
Rearrange -4*i**2 + 2*i**2 + 4*i**2 + (2 - 2 + i)*(-3*i + 6*i + i) to h*i + v + p*i**2 and give v.
0
Express (p**3 + 0*p**3 - 2*p**3)*(2*p + p - 6*p) + (-p**2 + p**2 - 2*p**2)*(-2*p**2 + 2*p - 2*p) as u*p**3 + m*p**2 + o + w*p**4 + h*p and give w.
7
Express (-301 + 301 + 72*a)*(4*a**2 - a**2 - a**2) in the form o + n*a + x*a**3 + m*a**2 and give x.
144
Express 10*y**2 - 6*y - 2*y**2 + 2*y**2 - 7*y**2 in the form c*y + v + n*y**2 and give c.
-6
Rearrange (-l + 4*l - 2*l)*(1 - 16*l + 4*l + 0*l)*(1 + 3 - 5) to the form m + y*l + d*l**2 and give y.
-1
Express (1 + 4 - 3)*(-2*x + 1 - 1) - x + 0*x + 2*x + 0*x - 2*x + 4*x + 2 - 2 - 2*x + (-2 + 2 + 1)*(1 + 16*x - 25*x - 2) as c + f*x and give f.
-12
Rearrange 108*s**2 + 91*s**2 - 153*s**2 to the form z*s + t + l*s**2 and give l.
46
Express -16*l + 14*l + 7*l as q*l + p and give q.
5
Express -60*s**4 - 5 + 59*s**4 + 9*s + 3 - 2*s - 2*s**3 in the form a*s**3 + o*s + y*s**4 + k*s**2 + d and give k.
0
Rearrange 734*w**3 + 22 - 730*w**3 + 6 to k*w**2 + s*w**3 + m + r*w and give s.
4
Express 150*q - 150*q - 80*q**2 in the form s*q**2 + b*q + j and give s.
-80
Express (-20*r**2 - 6*r**2 - 4*r**2 - 2)*(4*r - 4*r - 2*r) as y + v*r**2 + a*r + w*r**3 and give a.
4
Express m**4 + 3*m + 57*m**2 - 59*m**2 - m + m**3 - 2*m**3 as j*m**3 + p + w*m**4 + c*m**2 + y*m and give y.
2
Rearrange (2 - 2 + o)*(-5 - 1 - 3) to y*o + g and give y.
-9
Rearrange (3*y - 3*y - 2*y**3)*(0 - 1 + 0) + (2*y - y**2 - 2*y)*(-y + 0*y - 2*y) - 2*y**2 + 2*y**2 - 3*y**3 to c*y + g + k*y**2 + i*y**3 and give i.
2
Rearrange -22*g**2 + 34*g**2 + 20*g**2 + 28*g**2 to d*g**2 + b*g + a and give d.
60
Rearrange (-1 + 3 - 1)*((3 - 2 - 2)*(0*n + 4*n - 2*n) - 96 + 96 + 17*n) to j*n + u and give j.
15
Rearrange 0*f + 2*f + 16 - 3*f + 2*f to x*f + i and give i.
16
Express l**4 + 4*l**3 + 0*l**4 + 12*l**2 - 9*l**2 as a*l + i*l**3 + f*l**4 + n*l**2 + s and give n.
3
Express (80858 + 4*n - 5*n**2 - 80858)*(4*n - 3 - 2*n + 1) as c*n**2 + y*n + s*n**3 + u and give c.
18
Express (4 + j - 4)*(-2*j**3 + 4*j**3 - 4*j**3) + (2*j + 0*j - 7*j)*(2*j**2 + j**3 - 2*j**2) as w*j**4 + p*j**2 + k + n*j**3 + a*j and give a.
0
Rearrange 2*c**2 - 27*c**2 - 12*c**2 to the form t*c**2 + d*c + l and give t.
-37
Express 48*d**2 - 21 - 28 + 49 as r*d + o + b*d**2 and give o.
0
Express 13*v**3 - 3 - 14*v**3 - v**2 + 2*v**2 as n*v + d*v**2 + z*v**3 + y and give z.
-1
Express -17*u - 35*u - 15*u in the form o*u + x and give o.
-67
Express (2 - 5 + 1)*(-56*v**2 + 1330*v - 1330*v) as j + x*v**2 + d*v and give x.
112
Express 3*z - 3*z + z + 0*z - 2*z + 0*z + (-2 - z + 2)*(5 + 1 - 4) - 2*z - 2*z + 2*z + 1 + 2*z - 1 + (-1 - 3*z + 1)*(4 - 4 + 1) in the form m*z + o and give m.
-6
Rearrange (-5*d - 3*d**2 + 3*d + 4*d - 3 + 3 + 2*d**2 + (-d + 4*d + 2*d)*(-4*d + d + 5*d))*(2 - 5 + 1) to k*d**2 + i*d + o and give k.
-18
Rearrange -3*u**4 - 4*u**3 - 2 + 0*u**4 - 2*u + 6*u**3 to the form v*u + d*u**3 + b + k*u**2 + q*u**4 and give v.
-2
Rearrange -2*j**3 - 2*j**2 + 1 + 2 - 3 - 2*j to l*j + g + a*j**2 + n*j**3 and give n.
-2
Express (6 - 2 - 3)*(3*c**3 + 2*c**3 - 2*c**3)*(1 - 1 - 7*c) as b*c**2 + d*c + j + a*c**3 + f*c**4 and give f.
-21
Rearrange (2*g + 0*g - 4*g)*(g + g + 0*g - 6*g**2) to l*g + h + n*g**2 + j*g**3 and give j.
12
Rearrange -4*a + 58*a - 35*a + 85*a to z*a + j and give z.
104
Express (2*w - 2*w**2 - 6*w + 5*w)*(-2 + 6*w + 2)*(2 + 1 - 2) as k + c*w**3 + a*w**2 + d*w and give d.
0
Express 3*z**3 + 0*z - 23 - 2*z + 0*z + z in the form f*z + h*z**3 + a*z**2 + r and give f.
-1
Rearrange 8*n**2 - 5 - 2*n**3 - 17*n**2 + 8*n**2 to the form w*n + x + u*n**2 + k*n**3 and give u.
-1
Rearrange (-4*k + 0*k + 2*k + (4 - 2 - 3)*(-k + k + k) + 2 + 2*k - 2)*(0*k - 2*k + 4*k) to i*k**2 + v*k + a and give a.
0
Rearrange (2*i - 4*i - 2*i)*((2 + 2 - 1)*(-5*i + 0*i + 3*i) + (-3 - 1 + 2)*(-3*i - 5*i - 2*i)) to the form l*i + b*i**2 + y and give b.
-56
Express -3 - 2*q + 10*q**3 + 1 - 5*q**3 as c*q**2 + f + r*q**3 + n*q and give n.
-2
Rearrange (4*k - k - 4*k)*(-20*k + 20*k + 21*k**3) to l*k**4 + s*k**3 + m*k + i + c*k**2 and give l.
-21
Express 13*d + 5*d - 2*d in the form w*d + j and give j.
0
Rearrange -3*b + 3 + 1 + 2*b**4 - b**3 - 2 + 4*b to the form t*b + z*b**3 + c*b**2 + s*b**4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
- 136. What is the units digit of c(-9)?
7
Let x(t) = -t - 3. Let u be x(-3). Suppose 155 = 4*r + 3*k, u*r + 2*r + k = 75. What is the tens digit of r?
3
Let h(w) = -37*w**2 - 3*w + 6*w + 63*w**2. Let p be h(-2). Suppose -p = b - 3*b. What is the units digit of b?
9
Let i = 9 - -11. Suppose -i = -4*h - h. What is the units digit of h?
4
Suppose -9 = -2*n + 5*n - 3*r, 4*n + 12 = 5*r. Let s be n - (-3 - (8 + -3)). Suppose 3*g - 2*g - s = 0. What is the units digit of g?
5
Suppose 7*r = 31*r - 9936. What is the units digit of r?
4
Let i = -530 + 964. What is the units digit of i?
4
Let o(a) = -2*a**3 - 14*a**2 - 15*a + 50. What is the tens digit of o(-7)?
5
Let d = -391 + 68. Let l = -129 - d. What is the hundreds digit of l?
1
Let j(z) = 139*z**2 + 6*z - 13. What is the hundreds digit of j(-3)?
2
Let q(w) = w**3 - 3 - 8*w + w - 3*w**2 + 6*w + 13*w**2. What is the units digit of q(-10)?
7
Let c = -9 + 15. What is the units digit of 7312/96 + (-1)/c?
6
Let n = -11 + 15. Suppose -2*h = -h - n. Suppose -8 = -4*f - 4*m, -h = -2*f - 0*m - m. What is the units digit of f?
2
Let i(u) = u. Let j(k) = -14*k. Let v(t) = -t**2 - 6*t + 1. Let c be v(-6). Let s(h) = c*j(h) - 3*i(h). What is the tens digit of s(-1)?
1
Let m(r) = 111*r - 458. What is the hundreds digit of m(13)?
9
Let d = -51 + 31. Let a(c) = -c - 49. Let t be a(20). Let m = d - t. What is the tens digit of m?
4
Let z(a) be the second derivative of a**7/2520 - a**6/360 - a**5/40 + a**4/12 + 8*a. Let i(h) be the third derivative of z(h). What is the tens digit of i(6)?
2
Let n(h) = 15*h + 19. Let v(f) = 14*f + 20. Let g(w) = 2*n(w) - 3*v(w). What is the units digit of g(-8)?
4
Let s = -23 - -43. Let k = s + 5. Suppose -3*q + k = -29. What is the tens digit of q?
1
Suppose -23*i + 15548 = 2254. What is the hundreds digit of i?
5
What is the thousands digit of 2/10 - 141102/(-90)?
1
Let a be (20/(-25))/(1/5). Let p be a/2*(9 - 8). What is the units digit of -1*p/(-4)*-4?
2
Let v be (-4)/(-20) + 138/10. Let g = v + -12. Suppose -2*f = 5*h - 137 + 10, -3*h + 117 = g*f. What is the tens digit of f?
5
Suppose 4*l - 9 - 167 = 0. Let o(z) = -2*z**2 + 11*z. Let i be o(5). Suppose -49 = -i*g + n + 30, -4*n + l = 4*g. What is the tens digit of g?
1
Suppose -t - 5*u - 3 = 0, 3*t + 0*t + 4*u - 2 = 0. Suppose -t*s + 520 = 2*w, 0 + 8 = 2*w. What is the tens digit of s?
5
Suppose 0 = -57*k + 60*k - 42. Suppose -k*b = -10*b - 600. What is the units digit of b?
0
Let s(l) = 21 - l**2 - 3*l - l**3 - 27 + l**2. Let o be s(0). Let u(n) = n**2 + 2*n + 7. What is the tens digit of u(o)?
3
Let f = -152 - -154. Let s = 3 + 4. Suppose l - s = -f, -l = o - 12. What is the units digit of o?
7
Suppose -7*r + 4943 + 2806 = 0. What is the thousands digit of r?
1
Let k(d) = -2*d**2 + 5*d - 5. Let c be k(-5). Let m be (36/(-10))/(32/c). Suppose 10*g - m*g = 5. What is the units digit of g?
5
Let o = -85 + 33. Let p = -37 - o. What is the units digit of p?
5
Let f(m) = 4*m - 8. Let o be f(2). Suppose o = 4*z + 4*d - 384, -285 = -3*z - 4*d - 0*d. What is the units digit of z?
9
Let n be (-1 - -13) + (-16)/8. Suppose -11 = j - 4*t, 4*j - 8*j - 2*t + 28 = 0. What is the units digit of (n - 3)*(j + -2)?
1
Suppose n = -n - 3*k + 253, 2*n = 5*k + 213. Let s = n + -78. What is the tens digit of s?
4
What is the hundreds digit of 5451/2*158/237?
8
Let x = 1849 + 2167. What is the thousands digit of x?
4
Let z(f) = -3*f**3 - 6*f**2 + 11*f - 11. What is the tens digit of z(-7)?
4
Let o = 1531 + 996. What is the units digit of o?
7
Let r = 5365 + -3121. What is the units digit of r?
4
Let s be (589 - -2)/3 - -2. Let a = -97 + s. What is the units digit of a?
2
Let n = -8 + 0. Let p = n + 12. Suppose 4 = p*m - 16. What is the units digit of m?
5
Let l be (5 - (3 + 0))/((-2)/(-3)). What is the units digit of (0 - (l + 16/(-6)))*-117?
9
Let v be (-20)/(-15) + -1 + 506/(-6). Let z = v + 158. What is the tens digit of z?
7
Suppose 0 = -9*v + 12*v - w - 2396, -5*w = -5*v + 4000. What is the hundreds digit of v?
7
Let h be 0 + -1 - (0 + -713). Suppose 4*c - h = -2*g, 2*g - 7*g = -c + 189. What is the hundreds digit of c?
1
What is the units digit of (1 - 12/(-8))*4718/35?
7
Let m = -191 + 81. What is the units digit of 0 + (0 + 0 - m - -3)?
3
Let d(w) = -11*w + 18. Suppose 4*z + 44 + 0 = 0. What is the hundreds digit of d(z)?
1
What is the hundreds digit of (-3804)/(-24) + (-9)/(-6)?
1
Let x(d) = -3*d**3 - 33*d**2 + 16*d + 323. What is the tens digit of x(-16)?
0
Suppose 3*k + 5*a = 2*k + 971, -4*a = -8. What is the units digit of k?
1
What is the tens digit of 2/(-4)*11*(-211 + -1)?
6
Let r be 15/(-6)*(-6 - (-16)/4). Suppose r*o = -3*i + 360, -296 = -4*o - 5*i + i. What is the units digit of o?
9
Let y(h) = 11*h**2 - 10*h + 7. What is the units digit of y(-7)?
6
Suppose 5*h + 7182 = 4*b, 47*b + 3*h = 46*b + 1787. What is the units digit of b?
3
Suppose k = -5*u + 11030, 5*k - 29 = -4. What is the hundreds digit of u?
2
Let m(j) = j**2 + 11*j + 29. What is the tens digit of m(15)?
1
Let f(o) = -o**3 + 13*o**2 + 15*o - 11. Let w be f(14). Let g = 14 + -9. Suppose -g*k - 55 = -l, w*k + 4 = -k. What is the tens digit of l?
5
Let h(y) = 4*y**2 - 5*y + 6. Suppose 3*o = 6*o - 48. Suppose -3*c + 4*b = c - o, -2*c - 4*b + 2 = 0. What is the tens digit of h(c)?
2
Let n be ((-24)/28)/(2/(-84)). Let t = 98 - n. What is the tens digit of (t - (-2 + 2)) + -3?
5
Let j(w) = w**2 + 10*w - 7. Let s(m) = m + 2. Let q be s(-6). Let c be -8 - (0/q - -3). What is the units digit of j(c)?
4
What is the units digit of (-1)/(-3)*(4846 + 5)?
7
Suppose 2*d = d. Suppose 2*y + d*y = 58. What is the units digit of y?
9
Suppose 2*w = 679 - 175. What is the units digit of -2 + w - (7 - 4)?
7
Let j = -781 - -1796. What is the thousands digit of j?
1
Let w = -2045 - -3329. What is the units digit of w?
4
Suppose -2*p = 36 + 76. Let j = p + 134. What is the units digit of j?
8
Let m = 3096 + 1419. What is the units digit of m?
5
Let a(o) be the third derivative of o**5/6 + o**4/3 - o**3/2 + 4*o**2. What is the tens digit of a(3)?
1
Let w be 3 + (-2)/(-4)*2. Let a = w - 18. Let m = a + 24. What is the units digit of m?
0
Let u be -1 - ((-60)/(-2) + -1). What is the units digit of (78/(-15))/(4/u)?
9
Let t be 0/(-4) + 0 - -7. Let i(r) = r**3 - 8*r**2 + 8*r - 4. Let h be i(t). What is the tens digit of 28 - (h/3)/(-1)?
2
Let f = -137 - -80. Let v = 22 - f. What is the units digit of v?
9
Suppose -3 = 2*r - 7. Suppose 3*w = 3, -r*w = 3*d + 2*w - 355. What is the tens digit of d?
1
Let j(i) = i**2 + 18*i - 19. Let m be j(-21). Let h = m + -2. What is the units digit of h?
2
Suppose 5*p - z = 970, p + 0*z - 3*z - 180 = 0. Let k = p + -57. What is the tens digit of k?
3
Let j = 1052 - -99. What is the hundreds digit of j?
1
Let v be (-2 - -19) + 8 + -11. Let b be (v/5)/(18/45). Let q(s) = 2*s**2 - 14*s + 2. What is the units digit of q(b)?
2
Let b be (4/(-6))/(1 + 125/(-135)). Let o(z) = 2*z**2 - 9*z - 23. What is the units digit of o(b)?
0
Suppose 0 = 2*g - 43 + 39. Suppose -m + 205 = 2*w, -w - 4*w + 490 = -g*m. What is the hundreds digit of w?
1
Suppose 0 = -2*n + 5*x - x + 40, 0 = 5*x - 25. What is the units digit of 5/n + (-29)/(-6)?
5
Let k(n) = n**2 - 10*n + 13. Let t be k(-8). Suppose 3*f - 96 = f - 3*g, 3*f = 2*g + t. What is the tens digit of f?
5
Let g be 35/(-45) + 4/(-18). Let y = 4 - g. Suppose -3*k = -y*q + 129, -q - 3*k + 4 + 29 = 0. What is the tens digit of q?
2
What is the units digit of (4*(-21)/(-14) - -977)/1?
3
Suppose 117 = 3*h - 2*v, -3*v + 97 = 2*h + 2*v. Let s = h + -69. Let t = -6 - s. What is the units digit of t?
2
Let b = -88 + 93. Suppose 235 - 910 = -b*a. What is the tens digit of a?
3
Let r(h) = h**2 - 17*h + 34. Let t be r(15). What is the units digit of 57/t + (-3)/(-4)?
5
Suppose -2*a = -10*a + 7848. What is the hundreds digit of a?
9
Let z be 202/22 + (-24)/132. Suppose 7*k = z*k - 280. What is the units digit of k?
0
Suppose 135*n = 139*n - 152. What is the tens digit of n?
3
Suppose -1992 + 5268 = 2*w. What is the tens digit of w?
3
Suppose 8*h - 20*h - 12 = 0. What is the units digit of 616/35*h*(-10)/4?
4
What is the tens digit of (-287)/82*(-4656)/7?
2
Let z = -2 - 3. Let h = z + -4. Let u = 26 - h. What is the tens digit of u?
3
Let a(j)
|
{
"pile_set_name": "DM Mathematics"
}
|
68) - 2*sqrt(68))*4))/((sqrt(168)/(sqrt(6)*-1))/sqrt(7)))**2.
833
Simplify (3*sqrt(102)*-1 + (sqrt(102) - -4*sqrt(102)*-2 - sqrt(102)))/(sqrt(600) + 1*sqrt(600)*-4 - sqrt(600)).
11*sqrt(17)/40
Simplify (5*(-5 + sqrt(72) + -1 + 1))**2*2.
-3000*sqrt(2) + 4850
Simplify -1*(sqrt(11)*1 + 4)**2 + (sqrt(11) - (sqrt(176) - sqrt(11))) + -5 + sqrt(11) + sqrt(44)*-2.
-13*sqrt(11) - 32
Simplify (sqrt(17) - (sqrt(17) + (sqrt(1700) + 2 + sqrt(1700))**2)) + -1 + -6*(sqrt(833) + 0).
-6805 - 122*sqrt(17)
Simplify 3*(-6*sqrt(55)*-3 - sqrt(55))/(sqrt(405)*-3).
-17*sqrt(11)/9
Simplify (sqrt(165)/(sqrt(243)*2 + sqrt(243)))/(sqrt(539)*-1*-6 + sqrt(539)).
sqrt(5)/1323
Simplify (sqrt(119)*1*-5)/(sqrt(112)*-6)*-3.
-5*sqrt(17)/8
Simplify -3*(4 + (sqrt(300)*-2)/((sqrt(32)*-1)/sqrt(8))).
-30*sqrt(3) - 12
Simplify (1*sqrt(102)*-3)/(sqrt(6)*2*-6).
sqrt(17)/4
Simplify (sqrt(57) + (sqrt(114)/sqrt(2) + sqrt(57))*-4 - (sqrt(912) + (sqrt(912) - sqrt(912)*1) + sqrt(57)))/(sqrt(27)/(sqrt(1089)*-1 - sqrt(1089))).
264*sqrt(19)
Simplify (sqrt(189)/(sqrt(112) - (sqrt(112)*3 - sqrt(112)))*1)**2.
27/16
Simplify 4*(sqrt(405)*2*-6 + (1*sqrt(405) - sqrt(405)) + sqrt(405) + 0 + 4)**2.
-3168*sqrt(5) + 196084
Simplify (sqrt(567)*-2*-5)/(sqrt(9) - sqrt(45)/sqrt(5)*6) + -2.
-6*sqrt(7) - 2
Simplify (2*sqrt(495) - sqrt(495) - sqrt(495))/(sqrt(60)/sqrt(432)).
0
Simplify ((sqrt(190)/((sqrt(100)/sqrt(2))/sqrt(5)))**2 - (-1*sqrt(190)*-1 - sqrt(190))/sqrt(10)) + -3.
16
Simplify (-4 + 2*-1*sqrt(1377)*2*-5 + -4)**2.
-2880*sqrt(17) + 550864
Simplify ((-3*sqrt(495))/sqrt(9))/(sqrt(88)/sqrt(8)*3).
-sqrt(5)
Simplify (1 + (-5*-2*sqrt(170))/((2*sqrt(80) - sqrt(80))/sqrt(8)))*1.
1 + 10*sqrt(17)
Simplify ((1*(sqrt(36) + sqrt(576)))/sqrt(6))/(sqrt(3)*1*-5*-5).
sqrt(2)/5
Simplify ((6*-2*sqrt(117))/(sqrt(1296) + (sqrt(1296) - (sqrt(1296) + sqrt(1296) + -3*sqrt(1296)) - sqrt(1296))))**2 + 1.
17/4
Simplify (sqrt(52)/(sqrt(2) + (sqrt(88)/sqrt(4))/sqrt(11)))/(sqrt(12)/(sqrt(6) - -2*sqrt(600) - sqrt(6))).
10*sqrt(13)
Simplify 1*(sqrt(85)/sqrt(5) + sqrt(17))**2 - (sqrt(153)*1 + sqrt(17)) - (-5 + (sqrt(68)/sqrt(4))**2 + sqrt(17) + -3).
-5*sqrt(17) + 59
Simplify (sqrt(280)/sqrt(5)*1)/(sqrt(512)*1) + 5.
sqrt(7)/8 + 5
Simplify ((2*sqrt(245))**2*2 - (sqrt(245) - -4*(sqrt(245) + -2)**2)) + ((sqrt(245) + -2)**2*1 - sqrt(245)) + (sqrt(245) - (2*sqrt(245))**2*-1).
77*sqrt(5) + 2193
Simplify (-3 + -1*(-5 + sqrt(175)*6)*-1)**2.
-480*sqrt(7) + 6364
Simplify (-4*6*sqrt(220)/sqrt(4))/(-4*1*sqrt(125)).
6*sqrt(11)/5
Simplify (2*1*sqrt(187))/(3*sqrt(1331)).
2*sqrt(17)/33
Simplify (-2*sqrt(4455) - 2*sqrt(220))/(4*sqrt(25)/(2*sqrt(5)))*1.
-11*sqrt(11)
Simplify (-5*(0 + (2*sqrt(704) + -5 - sqrt(704) - (4 + (sqrt(704) - (-2*sqrt(704) - sqrt(704)))))))**2.
10800*sqrt(11) + 160425
Simplify (sqrt(48)/(1*sqrt(512)))/(4*(sqrt(162) + sqrt(162)*-1 + sqrt(162) - sqrt(2))).
sqrt(3)/256
Simplify (-4*sqrt(68)*-1 - sqrt(68))/(-4*sqrt(100)).
-3*sqrt(17)/20
Simplify (-4 + -4*2*sqrt(1584))**2 + 3*(-3*(sqrt(1584) + sqrt(1584)*-2))**2.
768*sqrt(11) + 144160
Simplify (-1*sqrt(117)*-1 + (sqrt(117) - -3*((sqrt(117) - (sqrt(117) - sqrt(117)*2)) + sqrt(117))))/(-6*(sqrt(81) - sqrt(9))*-4).
11*sqrt(13)/48
Simplify (sqrt(104)*3*-4 - sqrt(104))/(sqrt(88)/(sqrt(66)/sqrt(6))).
-13*sqrt(13)
Simplify ((sqrt(2057) - (-4 + sqrt(2057) + -4)) + (sqrt(2057) - (-1 + sqrt(2057)*3)))*3*-4.
-108 + 264*sqrt(17)
Simplify 5 + (1*(sqrt(104) - sqrt(104)*1))/sqrt(8) + sqrt(52)/sqrt(64) + sqrt(13) + sqrt(130)/(sqrt(10) + sqrt(40) - sqrt(10)).
5 + 7*sqrt(13)/4
Simplify (sqrt(400) + (sqrt(400) - (sqrt(400)*3 - sqrt(400))))/(sqrt(50)/(-3*sqrt(10) - sqrt(10)))*1.
0
Simplify ((sqrt(156) - sqrt(156)*1*-3) + sqrt(156))/(sqrt(972)*-4 + sqrt(12)).
-sqrt(13)/7
Simplify ((2*sqrt(286))/sqrt(11) + sqrt(26) + sqrt(26)*-1*6)/(sqrt(16)/(sqrt(96)/sqrt(3))).
-6*sqrt(13)
Simplify (-4 + sqrt(14)/sqrt(2) - ((2*sqrt(7))**2 + sqrt(7) - sqrt(7))*5) + -3 + -3.
-150 + sqrt(7)
Simplify ((sqrt(252)/((sqrt(864) - (-2*sqrt(864) - sqrt(864))) + sqrt(864)))/(sqrt(216)*-1 + (sqrt(66)*1)/sqrt(11)))**2.
7/90000
Simplify (sqrt(136)*1*1 - (2*sqrt(136)*5 - sqrt(136)))/((5*-2*sqrt(48) + sqrt(48))/sqrt(6)).
8*sqrt(17)/9
Simplify 3 + -6*(-6*sqrt(550)*1)/sqrt(11).
3 + 180*sqrt(2)
Simplify ((-3*sqrt(189))/(sqrt(1008)*-1))**2.
27/16
Simplify 1 + ((-5 + 1 + sqrt(108))*3)**2.
-432*sqrt(3) + 1117
Simplify 2 + (sqrt(352)*2)/sqrt(32) + -3.
-1 + 2*sqrt(11)
Simplify (-1*(-1*sqrt(637) + sqrt(637) + 1))**2 - -6*((sqrt(637) + 2 + sqrt(637) + 5)**2 - sqrt(637)).
1134*sqrt(13) + 15583
Simplify (3*(2 + sqrt(1700) + 1 - (-2 + 2 + sqrt(1700))))**2.
81
Simplify (-3 + 3*sqrt(275)*-2 + -3)**2*4.
1440*sqrt(11) + 39744
Simplify 3*(sqrt(132) - -4*2*sqrt(132))/(sqrt(108)*5) + 2.
2 + 9*sqrt(11)/5
Simplify (2 + sqrt(1539) + sqrt(19)*6 + -2)*-3.
-45*sqrt(19)
Simplify sqrt(27)/sqrt(9)*2 + 4 + (6*sqrt(3)*2 - 3*sqrt(12)/sqrt(4))**2.
2*sqrt(3) + 247
Simplify (-2 + (2 + -2 + sqrt(13) + sqrt(13) + 0)*-5)*-3.
6 + 30*sqrt(13)
Simplify 5*(-1 + sqrt(325) + -3 + sqrt(325)*-3 + -2)**2.
600*sqrt(13) + 6680
Simplify 5 + 1 + sqrt(539) - (sqrt(539) + 3 + (-1*sqrt(539) - sqrt(539)) + sqrt(539) + sqrt(539) - sqrt(539)).
3 + 7*sqrt(11)
Simplify (3*(-4 + (-2 + sqrt(2) - sqrt(2) - sqrt(2)) + -5))**2 + (2*sqrt(640))/sqrt(5).
214*sqrt(2) + 1107
Simplify ((sqrt(75) + -2 - sqrt(75)) + -3 + (sqrt(75)*-1*5 - sqrt(75) - sqrt(75))**2)*-4.
-14680
Simplify 2*sqrt(128)*1 + -1 + (-1*sqrt(128) - sqrt(128))*-1 + 3*(0 + sqrt(128)).
-1 + 56*sqrt(2)
Simplify (3*sqrt(28)/sqrt(4)*6*-4*6*6)**2.
47029248
Simplify ((6*-6*sqrt(110)/sqrt(5))/(3*(sqrt(176) + sqrt(176)*-4)))**2.
2
Simplify (2*(1*sqrt(143)*2)/sqrt(11)*2)**2*-6.
-4992
Simplify (1*(sqrt(500) + 0 + sqrt(500) + sqrt(500) + sqrt(500)) - (sqrt(500) + 0)*5) + 4.
-10*sqrt(5) + 4
Simplify (((sqrt(36) + sqrt(108)/sqrt(3))/sqrt(2))/((sqrt(324) + sqrt(36))/sqrt(4) - sqrt(9))*-1)**2.
8/9
Simplify -2*((sqrt(35) - sqrt(140)/sqrt(4))*1)/(sqrt(7) + -1*sqrt(847))*-1 + -4.
-4
Simplify -5 + ((sqrt(20)/sqrt(90))**2 + (sqrt(128)*-2)**2 - (sqrt(2) + sqrt(8)/sqrt(4) + -2)**2*-2).
-16*sqrt(2) + 4781/9
Simplify (2 + 1*sqrt(180) + (sqrt(180)*1 - sqrt(180))*1 + -3)**2.
-12*sqrt(5) + 181
Simplify -2*(sqrt(2448) + sqrt(2448) + sqrt(2448) + 0) + (5*(sqrt(1666) - sqrt(34)))/sqrt(2).
-42*sqrt(17)
Simplify (3*sqrt(76)*2 + 3*sqrt(76)*1)/(sqrt(40)/sqrt(90)*5).
27*sqrt(19)/5
Simplify (1 + -1 + sqrt(27) + (1 + sqrt(27))**2 + 4*-1*sqrt(3))*1.
5*sqrt(3) + 28
Simplify sqrt(45) + -2 - (sqrt(10)/sqrt(2) + 1) - (sqrt(5) - ((-1 + sqrt(5))*5)**2)*1.
-49*sqrt(5) + 147
Simplify -3*(-1*sqrt(220))/(sqrt(11) + 2*sqrt(704)).
6*sqrt(5)/17
Simplify (-1 + sqrt(1008)*-1 + -2 + sqrt(1008)*1 + sqrt(1008) + (sqrt(1008) - 3*(sqrt(1008)*-1 + sqrt(1008))) + -1)**2.
-192*sqrt(7) + 4048
Simplify -6*(-2*sqrt(45)/(sqrt(18)/sqrt(2)) + (1*sqrt(30))/sqrt(6)*-5)**2.
-1470
Simplify (sqrt(143)/(sqrt(11) - -1*1*sqrt(11)) - (2 + -2 + -3 + sqrt(13) + sqrt(13)))*2.
-3*sqrt(13) + 6
Simplify (sqrt(55)/((-2*sqrt(121))/sqrt(11) + sqrt(11)) + 2 + 3)*3.
-3*sqrt(5) + 15
Simplify 5*((-2 + sqrt(17))*1 + -2 - 2*(-6*sqrt(85)/sqrt(5) - sqrt(17))).
-20 + 75*sqrt(17)
Simplify ((sqrt(684) + 5 + sqrt(684))*-6*2 + 1)**2*4.
67968*sqrt(19) + 1589860
Simplify ((2*-1*sqrt(13)*-6)**2 + (sqrt(91) - (sqrt(91) + sqrt(91) + (sqrt(91) - (sqrt(91) + 2*sqrt(91) + sqrt(91))*-5)))/sqrt(7) + -2)*-6.
-11220 + 132*sqrt(13)
Simplify (sqrt(13)*1 + 4 - sqrt(468)/sqrt(4)) + ((-1 + sqrt(468) + sqrt(468))*-6)**2.
-866*sqrt(13) + 67432
Simplify (sqrt(17) - ((2*sqrt(136))/sqrt(8))**2) + sqrt(17) + sqrt(85)/sqrt(45) + (2*sqrt(1377) - (sqrt(153) + 1))**2.
-83*sqrt(17)/3 + 3758
Simplify ((sqrt(228)*-1 + sqrt(228))/sqrt(12) + -1 + -1 + sqrt(19) + sqrt(76) + 3 + sqrt(76)/sqrt(4) + -5)**2.
-32*sqrt(19) + 320
Simplify 4*(3*2*sqrt(117)*5)**2 + -4 + 0.
421196
Simplify (sqrt(108)*1 + sqrt(108))/(3*sqrt(81))*6.
8*sqrt(3)/3
Simplify -3 + (-4*((sqrt(8)*-4 - sqrt(8))/sqrt(4) - sqrt(12)/(sqrt(18)/sqrt(3))))**2.
1149
Simplify (5*(-3*sqrt(1900) + 4) - (5 + 6*(0 + sqrt(1900))))**2.
-6300*sqrt(19) + 838125
Simplify sqrt(1053)*2 + -1 + 5 - (-1 + 3 + (sqrt(39)/(sqrt(12)/sqrt(4)))**2).
-11 + 18*sqrt(13)
Simplify -1*(3 + 4*5*1*sqrt(468) + 4).
-120*sqrt(13) - 7
Simplify sqrt(700) + 3*sqrt(700) + 3 + (sqrt(700) - ((sqrt(700) - (-3 + sqrt(700)*1)) + sqrt(700))).
40*sq
|
{
"pile_set_name": "DM Mathematics"
}
|
of (-16272 + 6)/((-186)/15 + 12)?
0
Suppose 746*u = 678*u + 180540. What is the units digit of u?
5
Suppose -3*n + 184141 = o, -4*n + 33268 = 5*o - 212224. What is the ten thousands digit of n?
6
Let t = 239 + -226. Suppose -4*z + 235 = q, -2*q + 16*z + 503 = t*z. What is the hundreds digit of q?
2
Suppose 15 = 10*g - 5. Suppose g*q - l = l - 4, 0 = -l + 2. Suppose q*v = v - 2*u - 67, -3*u = v - 72. What is the units digit of v?
9
Let h(b) be the first derivative of -b**2 + 375*b + 22. What is the units digit of h(0)?
5
Suppose 43*w - 1081024 = 11*w. What is the tens digit of w?
8
Suppose 4*y + 6 = -z, 11*y - 8 = -5*z + 10*y. Let g(i) = 45*i**2 + 10*i - 21. What is the tens digit of g(z)?
7
Suppose -v = v + 58. Let g(s) = s**2 - 27*s - 148. Let r be g(30). Let t = v - r. What is the units digit of t?
9
Suppose -4796 = -5*m + g, 2*m + 0*m - 1916 = g. Suppose 321*b - 326*b + m = 0. What is the tens digit of b?
9
Let h = 562 + -559. Suppose -3188 = -h*u - 5*m, 3*u + 1712 = -2*m + 4888. What is the thousands digit of u?
1
What is the thousands digit of 5/((-70)/88)*(-8771)/14?
3
Let j = -5752 - -14375. What is the hundreds digit of j?
6
Let q = -2132 - -5252. Suppose 0 = -136*m + 121*m + q. What is the tens digit of m?
0
Suppose -w + 4*l + 274 + 400 = 0, -2*w - 5*l = -1322. Let j = -122 + w. Suppose -j - 976 = -8*k. What is the tens digit of k?
9
Suppose 2*s - 123 = 10661. Suppose 3*h = -2*t + s - 543, -3*h = t - 4853. What is the hundreds digit of h?
6
Let l(p) = 39*p**3 + p**2 - 13*p - 20. Let h(r) = 77*r**3 + 2*r**2 - 25*r - 39. Let w(g) = -6*h(g) + 11*l(g). What is the tens digit of w(-2)?
6
Let s(u) = 27*u + 11. Let h be s(-2). Let o = 47 + h. Suppose -o*r + 0*r - 2*j + 412 = 0, -r + 4*j + 112 = 0. What is the units digit of r?
4
Suppose 37*n = 11*n + 92872. What is the units digit of n?
2
Suppose 5*o - 44 = o. Let i = o + -1. What is the tens digit of 1014/10 + (-4)/i?
0
Suppose -2*r - q + 6 = 3, -3*r + 4*q = -21. Suppose r*a - 4*y = -0*y - 700, 0 = -4*a + 5*y - 935. Let v = -136 - a. What is the hundreds digit of v?
1
Suppose -4*d = 2*c - 4800, 3*c + 4*d = 2*c + 2396. What is the hundreds digit of c?
4
Let s(g) = -3*g**2 + 27*g + 78. Let u(q) = 5*q**2 - 28*q - 79. Let o(a) = 4*s(a) + 3*u(a). What is the hundreds digit of o(-17)?
5
Let q be -3*(-10)/6 - -9. Suppose 4 - 18 = -q*l. What is the tens digit of (232/(-16))/(((-2)/l)/12)?
8
Let y be (3 - 1/3)/(2/660). Let p = y + -543. What is the tens digit of p?
3
Suppose 3*u - 5667 = -3*t, -5*t + 5*u + 8946 = -509. What is the hundreds digit of t?
8
Let z = 301 + -298. Suppose 0 = -l + 5*q + 249, -1050 = -z*l - l + 2*q. What is the hundreds digit of l?
2
Suppose -47*a = -51*a + 25416. What is the thousands digit of a?
6
Let w be (-36)/(-8) + (-50)/20. Suppose -q = -5*q - 5*j + 7660, 5*j = w*q - 3800. What is the thousands digit of q?
1
Let s = 44052 + -22739. What is the tens digit of s?
1
Let q be (-14)/(-8) - (0 - (-6)/8). Let l be (-4 - 0)*(-13 - -4) + q. Let u = 90 - l. What is the units digit of u?
3
Let x = 35 + -150. Let r = 272 + x. What is the units digit of r?
7
What is the thousands digit of (-44)/((-528)/770838) - 6/(-4)?
4
Suppose -78*a + 3658781 = 975503. What is the units digit of a?
1
Let k(o) = o + 1. Let u(d) = -32*d - 11. Let t(q) = 3*k(q) + u(q). Let l be t(-4). Let w = l - 40. What is the units digit of w?
8
Suppose -23 = 8*q + 113. Let t = 207 + q. What is the hundreds digit of t?
1
Let y(q) be the third derivative of 11*q**5/60 + 193*q**3 + 71*q**2 + 1. What is the units digit of y(0)?
8
Let v = -96 + 108. Let f(k) = -16*k + 39*k - v*k + 5 + 6*k**2. What is the units digit of f(5)?
0
Suppose -16150 = -8*s - 2326. Suppose -8*w + 5*w + s = 3*p, -5*p - 2880 = -5*w. What is the hundreds digit of w?
5
Let g(f) = -87*f + 30. Let b(p) = 174*p - 59. Let m(n) = -6*b(n) - 11*g(n). What is the tens digit of m(-3)?
8
What is the units digit of ((-16037)/609)/((-1)/483)?
9
Let k(q) = -8*q**2 - 27*q + 223. Let x be k(10). Let g = 1550 + x. What is the units digit of g?
3
Let h = 110 - 56. Let s be 1 + -3 + h/9. Suppose -s*w + r = -122, -r = -0*w + w - 33. What is the units digit of w?
1
Suppose -47 = -17*m + 21. What is the hundreds digit of (-930)/m*((-56)/21)/2?
3
Suppose 2 = -2*l + 2*t, 17*t + 23 = 2*l + 20*t. Suppose -l*d - 348 = -2*q - 932, -584 = -4*d + q. What is the units digit of d?
6
Suppose 2*g + 2*s - 2228 = 0, -9 = 4*s + 3. Suppose 4*w + g + 660 = 3*a, w + 2973 = 5*a. What is the units digit of a?
5
Suppose -5 + 11 = 3*a. Suppose -a*l + 338 = 82. Suppose -g = -u - 3*u + 242, 2*u + 3*g = l. What is the tens digit of u?
6
Suppose 3*y + 8125 - 23586 = -4*n, -2*y = 4*n - 15458. What is the thousands digit of n?
3
Suppose 0 = -76*h + 71*h + 45. Let n(u) = 3*u**3 - 13*u**2 + 4*u + 63. What is the units digit of n(h)?
3
Let h(p) = 2*p**2 - 31*p + 89. Let d be h(12). Suppose -899 - 449 = -4*b - c, -20 = d*c. What is the units digit of b?
8
Let d be 2/(-9) - (105190/18)/5. Let y = -394 - d. What is the tens digit of y?
7
Let r = -149 + 154. Suppose -r*q + 10*q = 2*y - 3783, 5*y = -2*q + 9472. What is the units digit of y?
4
Suppose 24*z - 4400496 = -120*z. What is the units digit of z?
9
Let m = -70 + 54. Let q = m - -21. Suppose d - 796 = -q*u, 4*u = u + 4*d + 496. What is the tens digit of u?
6
Let r = -7080 + 16532. What is the thousands digit of r?
9
Let u(b) = 280*b - 1065. What is the units digit of u(31)?
5
Let k(c) = -99*c**3 - 9*c**2 - 24*c - 263. What is the thousands digit of k(-6)?
0
Suppose -2*f - 3640 = -0*f - 25428. What is the thousands digit of f?
0
Suppose 26*b - 12775 = 131948 + 86625. What is the tens digit of b?
9
Let h = -1267 - -1825. Let m be h - 8/(-10)*(-10)/(-4). Suppose z + 4*z = m. What is the units digit of z?
2
Suppose 49*a + 9*a + 8*a - 1974324 = 0. What is the thousands digit of a?
9
Suppose -6*h - 2582 = -11*h - 3*q, -2*h + 4*q + 1012 = 0. Let b = -271 + h. What is the hundreds digit of b?
2
Let o = -144 + 23. Let f = 32 - o. Suppose z + 64 - f = 0. What is the units digit of z?
9
Let m be (-21)/(-49) - (398/14 + -1). Let y = m + 40. What is the tens digit of y?
1
Let a be (66/165)/(4/(-7690)). Let s = a - -1415. What is the units digit of s?
6
What is the ten thousands digit of 388984/(-44)*(-12 + (-26)/(-4))?
4
Let v be (-2)/5*10/8*-4. Suppose -9*l + 16 = -v. Suppose 2*s + 3*t = 3*s - 159, l*s = -4*t + 308. What is the tens digit of s?
5
Let r(b) = b**3 + 13*b**2 + 12*b + 39. Suppose 2*y + 36 = -4*f + 6*y, 0 = 5*f - 4*y + 48. What is the units digit of r(f)?
9
Let z = 19371 - 2031. What is the ten thousands digit of z?
1
Suppose 5*n + 25 = -3*r, -4*n - 4*r - 38 + 10 = 0. Let y be (2 - 1) + (-6 - 0). What is the tens digit of (y/n - 2)*28?
1
Let y = -42 + -5. Let m be (8/4)/(-2)*y. Suppose f - m = 9. What is the units digit of f?
6
Let s = 7546 + -4991. Suppose 220*d = 215*d + s. What is the units digit of d?
1
Suppose 5*t - 7*t = -6. Let i(k) = -4*k**t + 6*k + 2*k**2 - 1 - 6*k - k**3. What is the units digit of i(-2)?
7
Let m = 106264 - 72096. What is the thousands digit of m?
4
Let r(o) = o**3 - 14*o**2 - 17*o + 36. Let j be r(15). Let x = j - -232. What is the units digit of x?
8
Suppose 2*p + 2841 - 15259 = -2*r, 4*p = 3*r + 24843. What is the tens digit of p?
1
What is the hundreds digit of 27843/4 + (-11)/(-44)?
9
Suppose 107802 = 5*l - 3*n, 126*l - 127*l + n + 21558 = 0. What is the hundreds digit of l?
5
What is the units digit of 132*(-12)/54*17*-15?
0
Suppose 1060*y = 4*v + 1058*y - 289406, 217050 = 3*v - y. What is the ten thousands digit of v?
7
Let z(r) = 6*r**2 + 2. Let c be z(-1). What is the tens digit of 3246/c + (-72)/96?
0
Let v = -172489 - -254751. What is the tens digit of v?
6
Let s be ((-76)/(-12) + -6)/(3/11403). Let u = -1 - 9. What is the hundreds digit of 0 + (s/5 - (-4)/u)?
2
Let t(n) = -7*n + 1. Let l = -71 + 67. What is the units digit of t(l)?
9
Let v(p) = 95*p**3 - 13*p**2 + 48*p - 170. What is the thousands digit of v(7)?
2
Suppose 188*q - 201*q = -2509. Suppose -189*r + q*r = 6232. What is the hundreds digit of r?
5
Let t(i) = 6*i**2. Let u be t(-1). Let d(n) = -3*n + u + 4*n + 14. What is the units digit of d(-18)?
2
Let z(x) = -x**3 + 37*x**2 - 39*x + 108. Let m be z(36). Suppose m = 3*l - 2167 - 362. What
|
{
"pile_set_name": "DM Mathematics"
}
|
= -0*u. Suppose -6 = -u*v - 0. Solve -c - v*c = 9 for c.
-3
Let x(c) = -c**2 - 7*c + 2. Let f be x(-7). Suppose -h + 9 = -2*d, 3*h - f*d - 12 = h. Solve -6 = h*i - i for i.
-3
Suppose 2*h - 14 = -6. Solve -3*a - 2 = -h*a for a.
2
Let z = 37 + -34. Solve -1 = -z*q - 7 for q.
-2
Let l be (3 + 0)*36/27. Solve 2*c + 2*c = -l for c.
-1
Suppose -5*c - 2*d - 5 = -7*d, 0 = 4*d - 4. Suppose c = -5*x + 26 - 6. Suppose b = 2, 2 = 2*i - b - 0. Solve x*m = i*m for m.
0
Let k = 38 - 27. Solve 1 - k = -5*r for r.
2
Let n = 6 + -4. Suppose 4*d - 14 = -0*f + n*f, -d - 10 = -5*f. Solve -4*v = -1 - f for v.
1
Let l be (16/(-6))/(4/(-6)). Suppose -l*h + 0*o - 3*o + 49 = 0, -5*o = -2*h + 5. Solve 5*i + 0*i + h = 0 for i.
-2
Let h = -122 - -124. Suppose 6 = 2*b + b. Solve h*u = b + 2 for u.
2
Let k(i) = i**3 - i**2 - 2*i + 3. Let s be k(2). Solve 2 = -2*l + s*l for l.
2
Let i be (1 - (-28)/12)*36/10. Solve 2*p + 2*p - i = 0 for p.
3
Let d(u) = -u**2 + 10*u - 6. Let x be d(9). Solve i - 5 = -x for i.
2
Let v(l) = -l**3 + 5*l**2 - l - 8. Let o be v(4). Solve o*q + 5 + 11 = 0 for q.
-4
Suppose -2*k = -6 - 8. Suppose 3 - 16 = -3*p + c, -3*p - 5*c + k = 0. Suppose 0*n + 16 = p*n - 4*q, 2*q - 1 = -n. Solve 0 = 5*b - n*b for b.
0
Suppose -4 = -2*j, -4*j = -u + 5*u - 20. Solve 5 + 4 = -u*i for i.
-3
Let j(n) be the second derivative of -n**5/20 + n**4/3 + 3*n**2/2 + 3*n. Let d be j(4). Let z = -11 + 19. Solve z*i + 5 = d*i for i.
-1
Suppose 7*m = -7*m + 28. Solve 1 = -m*r - 1 for r.
-1
Let w(b) = -b + 1. Let r(a) be the second derivative of a**4/6 + a**3/2 - a**2/2 + 2*a. Let n(o) = r(o) + 2*w(o). Let j be n(-2). Solve -18 = 5*l + j for l.
-5
Let o be 2/(-4)*-2 - 1. Solve -p - p - 10 = o for p.
-5
Suppose 4*j - 53 = 51. Suppose 0*o - 4*o + 5*n + 4 = 0, j = 3*o + 2*n. Let w(b) = -b**2 + 5*b + 6. Let a be w(o). Solve a*q + q = -1 for q.
-1
Let w be (-32)/(-24)*(-6)/(-4). Solve 0 = -w*s + 4*s - 2 for s.
1
Let l(k) = k - 4. Let s be (9/(-6) + 2)*6. Let g be l(s). Let j = -1 - g. Solve j = 3*t - 0*t for t.
0
Let l = 1 - 1. Suppose -4*h + 7 = 4*d - 33, l = -3*d + 3*h + 42. Suppose -4*r = -2*r - d. Solve -5*t - 4 - r = 0 for t.
-2
Suppose 0*p = p - 6*p. Solve 5*r + 0*r + 25 = p for r.
-5
Suppose 0 = 4*a - 5*y + 1 + 2, 5*y - 6 = 3*a. Solve a*u + 2*u = 25 for u.
5
Let i = 87 - 87. Solve i*n - 3*n = -3 for n.
1
Let h be (3 - 2) + (-2 - -2). Let z = 3 - h. Solve -5 + z = -y for y.
3
Let j(z) = 2*z**3 - z**2 - z - 2. Let k(y) = 8*y**3 - 5*y**2 - 5*y - 9. Let t(w) = -9*j(w) + 2*k(w). Let u be t(-1). Solve -u*m + 0*m - 2 = 0 for m.
-1
Let k(z) = z**3 - 4*z**2 + z + 5. Let w be k(4). Solve -w + 3 = 2*r for r.
-3
Let k be ((-14)/(-6))/((-6)/(-18)). Suppose 4*s - k = 1. Solve -s = h - 0*h for h.
-2
Let x(i) = i**3 + 10*i**2 - 12*i - 7. Let y be x(-11). Suppose -10 = -y*d - d. Solve d + 18 = -5*k for k.
-4
Let a(y) be the first derivative of y**2/2 + 14*y - 1. Let x be a(-9). Solve -8 - 7 = -x*g for g.
3
Let y(o) = -o**2 + 8*o + 3. Let z be y(8). Solve -z = -r + 2 for r.
5
Suppose -3*j - 2*l - 5 + 1 = 0, -3*j = 3*l + 9. Solve -4*p = j + 6 for p.
-2
Let d = 23 + -8. Suppose 5*l = -4*a + a + 37, l = 5*a - d. Suppose 0 = l*p - 2*c - 2 - 16, 5*c = -p + 9. Solve 2 + p = 3*k for k.
2
Suppose 4*b - 13 = -3*q, 7*q - 12*q = 25. Solve 2*n = b*n + 15 for n.
-3
Let w(k) = -3*k - 6. Let i be w(-6). Let d be (-8)/i*(-6)/4. Solve -6 + d = f for f.
-5
Let k(b) = 3*b**2 + 10*b + 1. Let s(z) = 8*z**2 + 29*z + 4. Let y(x) = 11*k(x) - 4*s(x). Let i be y(7). Let f be i/(3/6*1). Solve f*g - 2*g = -10 for g.
-5
Let q(o) = o**2 + 2*o + 1. Let l be q(-4). Let m = -7 + l. Solve m*s - 5 = -1 for s.
2
Let k be 52/((-16)/(-4)) - -1. Suppose 2*m - k + 3 = -p, 2*p - 2*m = -2. Let t(y) = -y**3 - 3*y**2 + 2*y - 5. Let s be t(-4). Solve -s*d + 3 + p = 0 for d.
2
Let v be 3/3 + -2 - -1. Let k = -4 - -10. Suppose -3 = -3*d + k. Solve 3 = d*f - v*f for f.
1
Suppose 0*h = 2*h - 6, 2*h = 4*i - 2. Suppose 2*p + 56 = 5*d, -3*d - i*p + 14 = -d. Solve -5*c - d = -3*c for c.
-5
Let l be (24/(-14))/(4/(-14)). Solve -c = -l*c - 10 for c.
-2
Let d(g) = 3*g - 5*g**2 - 3*g**2 - 11 + 0*g**3 + g**3 + 7. Let a be d(8). Solve 0 = 3*q + q + a for q.
-5
Suppose -3*l - 4*b = -29, -6*l = -10*l + 5*b - 13. Let x be (-2 + 2)/(-2) + 2. Solve x*j = l*j + 1 for j.
-1
Let c = 107 - 70. Suppose 4*j = -5 + c. Suppose 3*v = 3*z - 12, v - 13 = -4*z + 18. Solve -5*i - j - z = 0 for i.
-3
Suppose 3*n + 8 = 7*n. Let m(z) = -10*z**2 - 16*z - 5. Let j(u) = 2*u**2 + 3*u + 1. Let c(v) = n*m(v) + 11*j(v). Let f be c(-3). Solve -p - f = -5*p for p.
4
Suppose 2*s = -3*s + 90. Let g(i) = 27*i**2 - i - 1. Let z be g(-1). Let o = z - 21. Solve -o = -3*x - s for x.
-4
Let n(a) be the second derivative of 0 - 5/3*a**3 + a - 2*a**2 - 1/12*a**4. Let h be n(-9). Solve 3*f + h = 2*f for f.
-5
Suppose 0 = -4*k - 3*b + 108 - 45, 5*k = 5*b + 70. Solve 0 = -4*h - h + k for h.
3
Suppose 0 = -4*d - x + 17, 0*d - 4*x - 27 = -3*d. Let r = -3 + d. Let u be (22/8)/(r/8). Solve 0 = -3*p - u - 4 for p.
-5
Let h = 47 + -43. Solve h*c - 5 = 3 for c.
2
Let q(v) = -v**3 - 8*v**2 - 8*v - 3. Let a be q(-7). Suppose -2*n = 5*m - 15, 12 - 3 = 3*m - n. Solve 3 = a*z - m*z for z.
3
Let g = 60 + -4. Let m be 3/(-9) - g/(-6). Solve 5*o + m = -16 for o.
-5
Suppose -5*i = -2*i - 3, 2*g + 5*i = 29. Let k = -8 + g. Let r be (0 - -4)*1/2. Solve -u = r - k for u.
2
Let c(p) = -p**3 - 3*p**2 + 4*p + 2. Let o be c(-4). Solve -o*s + 1 + 1 = 0 for s.
1
Let u be (-28)/2*2/(-4). Suppose s - 2 + 1 = -r, s - 5*r = u. Solve 5*g - s = 3*g for g.
1
Let d(i) = i**3 + 6*i**2 + 3. Let x be d(-6). Suppose 2*v - t = 9, x*v + 2 - 3 = -t. Let m be (0 + 2 + -2)/(-4). Solve m*c - 2 = -v*c for c.
1
Suppose 31 = 4*w - 9. Solve -2 - w = -3*s for s.
4
Let c be 1*(-2 - (-4 + 0)). Solve 0 = -c*d + 6*d for d.
0
Suppose -4*c = 5*w - 2*c - 6, 8 = -w - 5*c. Suppose 2*r - 3 = 7. Solve -g + w = r for g.
-3
Let y = 0 + 3. Suppose -y = -a + 2. Let p = 147 - 143. Solve -a*g = -p*g + 2 for g.
-2
Let k be 2/(-4)*(0 - 0). Suppose 2*q - 3*s - 4 = -k, -8 = -4*q - 4*s. Solve -q*d = -0*d + 10 for d.
-5
Suppose -k - 42 + 45 = 0. Solve k = -0*h + h for h.
3
Let v(x) = x**2 + 7*x. Let u be v(-5). Let c be ((-3)/(-2))/((-5)/u). Solve -6 = f - c*f for f.
3
Suppose 0 = -l - 5 + 18. Suppose -l*i + 16*i = 0. Solve 4*d = 4 - i for d.
1
Let w(k) be the first derivative of -k**4/4 + 7*k**3/3 - 3*k**2 + 7*k - 1. Let h be w(6). Let n = 9 - h. Solve 2*x = 2 + n for x.
2
Suppose -1 = 4*s - 5*q - 2, -6 = -2*q. Suppose 0 + 4 = v. Suppose 0 = v*w - 0*w - 24. Solve -n = -s*n + w for n.
2
Let l(o) = o**3 - 7*o**2 + 7*o - 6. Let h be l(6). Suppose r - 12 = -h*r. Let u(y) = -y**2 + 6*y - 3. Let q be u(5). Solve 2*f = -q*f + r for f.
3
Suppose -5*j = g - 7, -5*g - j + 6 = -5*j. Suppose 1 = g*t - t. Solve 5*i = t + 4 for i.
1
Suppose 3*i + 6 = 5*i. Solve 4*k = 3*k + i for k.
3
Let r be (4/24)/((-2)/6)*-4. Solve -r = x - 1 for x.
-1
Suppose -2*g - 1 + 13 = 0. Suppose 2*n - 12 = -4*l, -5*n - l - 15 = -g*l. Let d = 0 - -3. Solve -d + n = -x for x.
3
Let c be (39/(-9) - -3)*(-3)/2. Solve -c*q = q for q.
0
Let h = -8 - -12. Solve d = -h*d - 15 for d.
-3
Let j(s) be the third derivative of s**4/24 + s**3/2 - 2*s**2. Let i be j(0). Suppose 0 = -0*t + i*t. Solve t = -0*b + 3*b - 12 for b.
4
Let x = 16 + -10. Suppose 3*g = 5*g - x. Solve -3*o = 12 + g for o.
-5
Suppose -2 + 10 = 2*v. Let l = -2 + v. Solve -n + l = -3 for n.
5
Let o = 8 - 4. Suppose -6*z + 30 = -2*z + 2*s, -z + 3 = 2*s. Let m = z - o. Solve -m = x - 0 for x.
-5
Let j be 2 - (-1 + 2*(-2)/(-4)). Solve j*p + 2 = p for p.
-2
Suppose 0 = 5*h - 4*p - 17, -4*h + 23 = 2*p - 1. Solve -5*g - h = -0*g for g.
-1
Let l be 8/(-12) - 11/(-3). Solve -l*m + m = -8 for m.
4
Let n be 18/(-27) + 2/3. Solve n = -4*s + 13 + 7 for s.
5
Let n = 7 - 5. Let p be ((-9)/6 + 2)*n. Suppose -5*d - 3*b + 12 = 0, -4*d = -b + 5 - p. Solve d = 3*z - 11 - 4 for z.
5
Suppose 14 + 31 = -5*a + 4*i, 0 = -2*i. Let n be (2/(-6))/(a/54). Solve 1 = 3*q - n for q.
1
Suppose -j + 3*g - 21 = 0, -2*j + 33 = -4*j + 3*g. Let t be 0 + (j/2)/(-2). Let z be (1/(-2))/(1/(-4)). Solve 5*i = t + z for i.
1
Let i be 1 + 3/1 + 2. Solve -8 = -2*f + i*f for f.
-2
Let s = 14 + -12. Solve -b = -0 + s for b.
-2
Let t be (4 - (-5 + 6)) + (-3)/3. Solve 8 = t*a - 2 for a.
|
{
"pile_set_name": "DM Mathematics"
}
|
b of picking 1 d and 1 h when two letters picked without replacement from {r: 2, w: 4, h: 1, d: 6}?
1/13
Three letters picked without replacement from {v: 8, h: 11, n: 1}. Give prob of picking 3 v.
14/285
What is prob of picking 2 r, 1 m, and 1 z when four letters picked without replacement from {r: 3, i: 3, z: 9, k: 2, m: 1}?
3/340
Calculate prob of picking 1 y and 1 o when two letters picked without replacement from kwkjyojwokwywc.
4/91
What is prob of picking 3 h and 1 m when four letters picked without replacement from hvvhmzzvhz?
1/210
What is prob of picking 1 w, 2 v, and 1 q when four letters picked without replacement from vqqqwqsqsswv?
2/99
What is prob of picking 2 w and 1 f when three letters picked without replacement from ffffwdwof?
5/84
Two letters picked without replacement from {e: 3, a: 1, l: 2, q: 4, u: 2}. What is prob of picking 2 u?
1/66
Four letters picked without replacement from ixsvxsmixxvxvvxixr. What is prob of picking 2 i, 1 v, and 1 m?
1/255
Calculate prob of picking 1 i, 1 m, and 1 s when three letters picked without replacement from {k: 3, i: 1, s: 2, m: 1}.
2/35
Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {r: 1, y: 1, m: 13}.
13/105
What is prob of picking 2 h when two letters picked without replacement from {j: 2, h: 11}?
55/78
What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 2, n: 3}?
3/5
Calculate prob of picking 1 o, 2 j, and 1 i when four letters picked without replacement from fojffojjoojijfqfo.
5/238
Two letters picked without replacement from {h: 4, c: 6}. Give prob of picking 1 h and 1 c.
8/15
Three letters picked without replacement from {y: 1, c: 1, w: 2, s: 4, p: 3}. Give prob of picking 1 c, 1 s, and 1 y.
4/165
Two letters picked without replacement from {c: 4, g: 1, r: 4, w: 1}. What is prob of picking 2 g?
0
Two letters picked without replacement from {k: 6, u: 12}. What is prob of picking 2 k?
5/51
Two letters picked without replacement from {e: 7, r: 5}. What is prob of picking 2 e?
7/22
Two letters picked without replacement from {o: 1, d: 1, i: 1, n: 2, y: 1, z: 1}. Give prob of picking 1 d and 1 o.
1/21
What is prob of picking 1 o and 1 y when two letters picked without replacement from zohyhzhhyovzyhbhozz?
1/19
Three letters picked without replacement from dhuhubhhnybhddhbudu. Give prob of picking 1 y and 2 d.
2/323
What is prob of picking 1 a and 1 x when two letters picked without replacement from avvvvaavvvaaadvxvav?
7/171
What is prob of picking 1 v, 1 t, and 1 s when three letters picked without replacement from {s: 12, t: 7, v: 1}?
7/95
Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {e: 1, r: 2, q: 6, g: 1, z: 2}.
1/220
Calculate prob of picking 2 y when two letters picked without replacement from yyyyy.
1
Four letters picked without replacement from wwwtotewhet. What is prob of picking 1 e, 2 t, and 1 h?
1/55
What is prob of picking 1 p and 1 m when two letters picked without replacement from nopppoiomnmsn?
1/13
Three letters picked without replacement from cjcjjjjcjc. What is prob of picking 3 c?
1/30
Four letters picked without replacement from {w: 7, n: 3, h: 6, v: 1}. Give prob of picking 3 h and 1 v.
1/119
Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {d: 6, k: 5, n: 3, s: 1}.
2/7
Two letters picked without replacement from {g: 3, f: 2, k: 1, o: 2, m: 1, t: 3}. Give prob of picking 1 o and 1 g.
1/11
What is prob of picking 1 v, 1 u, 1 z, and 1 y when four letters picked without replacement from vhgggvzyhuyv?
2/165
Two letters picked without replacement from {j: 1, q: 2, e: 1, r: 5, x: 3}. Give prob of picking 1 x and 1 e.
1/22
Four letters picked without replacement from {u: 2, z: 2, l: 5}. What is prob of picking 3 l and 1 u?
10/63
What is prob of picking 1 y and 1 d when two letters picked without replacement from dyym?
1/3
What is prob of picking 3 s when three letters picked without replacement from {a: 2, s: 14, e: 1}?
91/170
What is prob of picking 2 g, 1 c, and 1 b when four letters picked without replacement from ggaabcr?
1/35
Two letters picked without replacement from {w: 6, e: 4, o: 2, i: 1, p: 4}. What is prob of picking 2 e?
3/68
Four letters picked without replacement from rlrlclccprlclccrlrl. What is prob of picking 1 p, 1 c, and 2 l?
21/646
Four letters picked without replacement from llhlllhllll. Give prob of picking 4 l.
21/55
What is prob of picking 3 o when three letters picked without replacement from {o: 8, n: 3}?
56/165
Four letters picked without replacement from ggqgqgqqygygqqqyqg. Give prob of picking 1 y and 3 g.
7/204
What is prob of picking 2 p and 2 o when four letters picked without replacement from qmqqqqqpopomqmqoq?
3/2380
Two letters picked without replacement from {g: 1, h: 6, s: 7, q: 1}. Give prob of picking 1 s and 1 q.
1/15
What is prob of picking 2 k and 1 p when three letters picked without replacement from {k: 2, p: 9, h: 8}?
3/323
Three letters picked without replacement from pwpp. What is prob of picking 3 p?
1/4
What is prob of picking 2 n, 1 j, and 1 f when four letters picked without replacement from {w: 1, f: 4, n: 2, j: 1}?
2/35
Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {d: 6, t: 1, l: 7, g: 3}.
21/680
What is prob of picking 1 d and 1 k when two letters picked without replacement from fxkvkvvxvkfxdkvx?
1/30
Two letters picked without replacement from {m: 2, d: 8}. Give prob of picking 2 m.
1/45
Two letters picked without replacement from {r: 3, z: 3, b: 6, k: 3, e: 1}. Give prob of picking 1 e and 1 k.
1/40
What is prob of picking 1 u and 2 x when three letters picked without replacement from ggcucxuxxguhggrrgucx?
2/95
Four letters picked without replacement from mekkejjf. Give prob of picking 1 e, 2 k, and 1 f.
1/35
Calculate prob of picking 1 q, 1 t, and 2 g when four letters picked without replacement from {l: 2, t: 6, q: 2, g: 3, f: 5}.
1/85
Four letters picked without replacement from {w: 1, x: 9, b: 4}. Give prob of picking 3 b and 1 w.
4/1001
Three letters picked without replacement from tkkyttyt. Give prob of picking 2 k and 1 t.
1/14
Two letters picked without replacement from rqkkrakkgsaa. What is prob of picking 1 g and 1 s?
1/66
Three letters picked without replacement from kkkkkkvkkv. Give prob of picking 2 v and 1 k.
1/15
Two letters picked without replacement from xebeebbaxb. Give prob of picking 1 a and 1 x.
2/45
Two letters picked without replacement from ififf. Give prob of picking 2 f.
3/10
Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {y: 1, o: 1, x: 1, n: 1, j: 13, f: 1}.
1/153
What is prob of picking 2 r and 1 c when three letters picked without replacement from rrvvrrcvrrervrr?
36/455
Three letters picked without replacement from ahajjhhjheah. Give prob of picking 1 a and 2 j.
9/220
What is prob of picking 1 g and 3 a when four letters picked without replacement from {a: 5, g: 2}?
4/7
Three letters picked without replacement from okkfokrkkffkkfkr. Give prob of picking 2 f and 1 r.
3/140
Two letters picked without replacement from {q: 3, b: 1, c: 6, z: 1, v: 3}. Give prob of picking 2 q.
3/91
Calculate prob of picking 1 m and 1 r when two letters picked without replacement from rmr.
2/3
Two letters picked without replacement from qkkqq. What is prob of picking 2 k?
1/10
What is prob of picking 1 s, 1 v, and 1 e when three letters picked without replacement from {w: 1, v: 2, y: 1, e: 3, s: 4}?
8/55
What is prob of picking 1 u and 1 t when two letters picked without replacement from zztzhtu?
2/21
Four letters picked without replacement from quuceuquceceu. What is prob of picking 1 c, 1 q, and 2 e?
18/715
Four letters picked without replacement from {x: 3, m: 7, q: 1, e: 2, s: 1}. What is prob of picking 2 x, 1 s, and 1 m?
3/143
What is prob of picking 2 u when two letters picked without replacement from mumubbxbbbxmmyub?
1/40
Two letters picked without replacement from {t: 2, p: 8}. Give prob of picking 1 t and 1 p.
16/45
What is prob of picking 3 d and 1 x when four letters picked without replacement from xxxd?
0
Four letters picked without replacement fro
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the nearest to 1? (a) -70 (b) -5 (c) -0.2
c
What is the nearest to -3 in -2/3, -7, -3, 0.1?
-3
Which is the closest to -1/3? (a) -2 (b) 268 (c) -3 (d) -0.2
d
Which is the closest to -0.1? (a) 4 (b) -3/7 (c) -1/3
c
Which is the closest to -1/4? (a) -4 (b) 4/13 (c) 0.3 (d) -4/9
d
What is the nearest to -2 in 0, 5, -26, 4/7?
0
Which is the nearest to 862? (a) 0 (b) -5 (c) 2/3
c
Which is the nearest to -0.1? (a) -4 (b) -2/11 (c) 4
b
What is the closest to 21 in 5, -4/9, 4, -1?
5
What is the closest to 24 in -3, -0.1, -2/3, 4/7?
4/7
Which is the closest to -1? (a) -1 (b) 0.5 (c) 38
a
What is the nearest to -1/6 in -0.5, -4, -7?
-0.5
Which is the closest to -1/4? (a) 2 (b) -0.1 (c) 0.5 (d) 2/11
b
What is the nearest to 7 in 5, 0.5, -15, -5?
5
Which is the closest to -2/5? (a) 0.4 (b) -8 (c) -5 (d) -3
a
What is the closest to 3 in 2/5, 0.2, -5, -3?
2/5
What is the nearest to 3.8 in -5, -1, 2?
2
Which is the closest to -5? (a) -3 (b) -1/9 (c) 5 (d) 19.4
a
What is the nearest to 2 in -5, 0.2, -0.3, 2.5?
2.5
Which is the closest to -0.2? (a) -0.3 (b) -8 (c) 5 (d) 3
a
What is the nearest to -7/3 in 5, 0.2, -3, 2?
-3
What is the nearest to -2/59 in 0.2, -4, 3/7, -1?
0.2
Which is the closest to 1? (a) -0.18 (b) -0.4 (c) 24/13
c
What is the nearest to -1/4 in 71, -5, 4, -4?
-4
Which is the closest to 0.1? (a) -0.5 (b) 5 (c) 72
a
Which is the closest to -8? (a) -4 (b) -0.4 (c) 3/4
a
What is the nearest to -1 in 2/3, 0.0443, 0.2?
0.0443
What is the nearest to -2 in 1/12, 1/2, 1/5, -0.3?
-0.3
What is the closest to -1.3 in 0, -1/4, -4/5, -1/3?
-4/5
Which is the nearest to -7? (a) -5 (b) 4 (c) -0.08
a
What is the nearest to 2/3 in 3, -1882, -2, 1/5?
1/5
What is the closest to 1/6 in 0.2, 24, -2?
0.2
What is the closest to -0.3 in 1.5, -4, 1, 2/3?
2/3
Which is the nearest to 8/11? (a) 4 (b) 1 (c) -2
b
What is the closest to 30 in -2, -0.1, 5, -4?
5
What is the nearest to 1/3 in 99/14, -5/3, 1/8?
1/8
What is the nearest to -2/5 in -0.8, -2/9, -0.2, 5?
-2/9
Which is the closest to -2/5? (a) -0.2 (b) -1/4 (c) -4
b
Which is the nearest to 1? (a) 2 (b) 5/3 (c) -2/9 (d) 0.3
b
Which is the closest to 0.04? (a) 14 (b) -2 (c) 0.1
c
What is the nearest to -2 in -5, -1/6, 2/15, 1/31?
-1/6
What is the nearest to 1/3 in 1/4, 4, 3, 5?
1/4
What is the nearest to 2 in 0, 15/7, 2, 2/27?
2
Which is the closest to 0.2? (a) -0.2 (b) 0 (c) -4 (d) 0.5
b
Which is the nearest to -0.1? (a) 15 (b) -0.5 (c) -0.3
c
What is the nearest to -1 in -0.5, -1, 42?
-1
What is the nearest to -4/3 in -0.5, 5, -4?
-0.5
What is the nearest to -12 in 7, -2, 5?
-2
What is the nearest to 0.3 in 1, -351, 2/5?
2/5
Which is the nearest to 1.5? (a) 1 (b) -5 (c) 0.4
a
Which is the nearest to 1/4? (a) 4 (b) 3/2 (c) 0.5 (d) 2/7
d
Which is the nearest to 0? (a) 10 (b) -0.05 (c) 0.9
b
What is the nearest to -39 in -5, -1, 2/7, -3?
-5
What is the nearest to -3 in 0.02, 3/5, -0.02, 5?
-0.02
Which is the closest to -5/4? (a) -14 (b) 0.1 (c) -1 (d) 0.3
c
What is the closest to 16.7 in 3/2, 5, 1?
5
Which is the closest to 1? (a) 5 (b) 0.3 (c) 15
b
Which is the nearest to 0.14? (a) 2/5 (b) -10 (c) -15 (d) 0.3
d
Which is the nearest to -1? (a) -1 (b) 2 (c) -3/7 (d) -5
a
What is the closest to 338 in -1/6, -2, 0.5?
0.5
What is the closest to -14 in 3, -0.4, 1, 1/4?
-0.4
Which is the nearest to 0.2? (a) -0.08 (b) -7 (c) -0.2 (d) 2/29
d
What is the nearest to -0.1 in 2, -0.09, 1/2, 17?
-0.09
Which is the closest to -1/2? (a) -1/71 (b) -7 (c) -0.06
c
What is the closest to -1 in -7, -0.2, -1/3, -3?
-1/3
What is the nearest to 1 in 2/13, -3, -1/2, -5?
2/13
Which is the closest to 1? (a) 0.2 (b) -1/6 (c) -3 (d) -20/3
a
Which is the nearest to -0.1? (a) 143 (b) -2 (c) -3
b
What is the nearest to -16 in -2/5, -5/9, 4?
-5/9
What is the closest to 5 in 0.3, -0.034, -4?
0.3
Which is the nearest to -2? (a) 6 (b) 0.05 (c) 3/5 (d) -0.2
d
What is the nearest to -1 in 0.5, -1/4, -17, -18?
-1/4
What is the closest to 0.2 in -0.161, -4, 0.1?
0.1
What is the nearest to 1/4 in -1/2, 1/7, 0.3, -2479?
0.3
What is the nearest to -1.3 in 0.08, 0.18, 3?
0.08
Which is the closest to 0? (a) -2 (b) 3 (c) 0.03 (d) 5
c
What is the closest to 1 in 0.1, -280, -2?
0.1
Which is the closest to -13? (a) -0.1 (b) -5 (c) -2/21 (d) 1
b
Which is the closest to 0.28? (a) 13/4 (b) -0.4 (c) -2/7
c
What is the closest to -1 in 64, -0.4, 0.2?
-0.4
Which is the nearest to -0.03? (a) 0.1 (b) 0.5 (c) 2
a
What is the closest to 1 in 1/59, 0.5, 2/3, 5?
2/3
What is the closest to -0.82 in -1/7, 3, -0.5, 0.1?
-0.5
What is the closest to -2 in 3, -4/3, 4?
-4/3
What is the nearest to 423 in -1, -2, 1?
1
Which is the nearest to -1/4? (a) 10 (b) 1/7 (c) 81
b
What is the closest to 0 in -2/19, 492, 3?
-2/19
Which is the nearest to 0.1? (a) 1/5 (b) 0.05 (c) 2 (d) -0.2
b
What is the nearest to 0.1 in -126, 0.5, 3?
0.5
What is the closest to -1 in 0.3, -76, -4?
0.3
What is the closest to -1 in -5, 220, 1, -2/9?
-2/9
What is the nearest to -3 in -4/7, -2, 3/4?
-2
Which is the closest to 0? (a) -85 (b) -0.5 (c) 3/2 (d) -5
b
What is the closest to 1 in 255, -0.03, 0.2?
0.2
What is the nearest to 413 in -2/3, 3/2, 4, 3?
4
Which is the nearest to -1? (a) 0.4 (b) 1034 (c) -0.5
c
What is the nearest to 0.2 in -3/4, -1.3, -1.4, 3?
-3/4
What is the nearest to -1 in 0.3, -2/11, 5?
-2/11
What is the closest to 0.2 in -6, -66, -9?
-6
What is the nearest to -13/2 in 5, 0.9, 4?
0.9
What is the nearest to 9 in -2/13, -3, 0.5, 7/9?
7/9
What is the nearest to 0.2 in 4, 29, 5?
4
What is the nearest to -1.7 in -2/71, 2/9, -5?
-2/71
What is the closest to -2/57 in 1/4, 5, 0.1?
0.1
What is the nearest to -5 in -2/13, -5/8, -2, -3?
-3
Which is the nearest to -2/3? (a) -3 (b) -7 (c) -0.07
c
Which is the closest to -1? (a) 1/5 (b) -0.1 (c) 2
b
What is the closest to -87 in 1/5, -3/5, -2, -0.2?
-2
Which is the nearest to 0.07? (a) -4/5 (b) 1 (c) 2/11
c
Which is the closest to -1? (a) 1/4 (b) 5/2 (c) -0.09
c
Which is the closest to -2/5? (a) -1 (b) -30 (c) 3 (d) 4
a
Which is the closest to 0.1? (a) 7/6 (b) 3 (c) 0.7
c
What is the closest to -2/3 in 2/13, 0.5, -0.7, 5?
-0.7
Which is the nearest to 93? (a) -0.05 (b) -3 (c) 2 (d) -0.2
c
Which is the nearest to 0? (a) -0.5 (b) 2/49 (c) -2/5
b
What is the closest to -0.1 in -2, -9, 0.2?
0.2
What is the nearest to 2.8 in 3/2, -1, 0.4?
3/2
What is the closest to 15 in 0.5, -0.1, 2, 2/13?
2
Which is the nearest to 6? (a) -0.4 (b) -0.5 (c) 5 (d) 2/3
c
What is the nearest to 0.4 in 1, 1/2, -2, 2?
1/2
What is the nearest to -1 in 1, -9.2, -2/3, 0.4?
-2/3
Which is the closest to 0.2? (a) 3 (b) -4 (c) 1 (d) 0.16
d
What is the closest to 9 in -2/5, 4, -0.5, 11?
11
What is the closest to 7 in -1/5, 1/4, 2/31, -19?
1/4
Which is the closest to 0? (a) -1/6 (b) -59 (c) 4
a
What is the nearest to 2 in 2/5, -2/45, -2?
2/5
Which is the closest to -3? (a) 22 (b) 0.4 (c) 2/25
c
Which is the nearest to 0.2? (a) -10/27 (b) 10 (c) 0.5
c
What is the closest to 0 in -3/7, -4, 1/3, 1?
1/3
Which is the nearest to -0.4? (a) -2 (b) -1/7 (c) 0 (d) 58
b
What is the nearest to -4 in -1, 1/3, 0, 4/3?
-1
Which is the closest to -1? (a) -5 (b) -0.081 (c) -4
b
What is the closest to -11/2 in -5, 3/5, 0.08?
-5
Which is the closest to 0.1? (a) 1/2 (b) -9.5 (c) -6/5 (d) 0.01
d
What is the closest to 0 in -0.01, -2, -12, 0.1?
-0.01
Which is the nearest to -1/2? (a) -0.3 (b) 5 (c) -13/6
a
What is the nearest to -2/17 in -3.1, 2, -5?
2
Which is the closest to -0.1? (a) 1 (b) 1/11 (c) -0.16
c
Which is the closest to 0.2? (a) -4 (b) -9 (c) 1
c
What is the closest to -120 in 0.5, 2, -1/3?
-1/3
What is the closest to -4/3 in -3, -9, 0.4?
-3
Which is the closest to -0.0121? (a) 2/5 (b) -1 (c) 2/7 (d) 4
c
What is the closest to 1 in 0.3, -0.02, -3/2?
0.3
What is the closest to 2 in -0.16, -1, -0.5, 2?
2
Which is the closest to 0.1? (a) -4 (b) -0.4 (c) -9 (d) 1
b
What is the nearest to 2/9 in -3, 1/4, -2?
1/4
What is the closest to 2 in -0.1, 6, 0.1?
0.1
Which is the nearest to -2? (a) 0.2 (b) 4 (c) -0.4 (d) 9/5
c
Which is the closest to 0? (a) 0.33 (b) -0.07 (c) 2 (d) 4
b
W
|
{
"pile_set_name": "DM Mathematics"
}
|
, -w - 4*o = -0*w + 11 for w.
-3
Suppose 0 = -2*d - 3*j - 621, -2*d - 260 = -3*j + 379. Let i be d/(-20) + 3/12. Solve 5*n - 15 = g, n - i = -3*n for g.
5
Let g = 148 + -145. Solve -5*p - g*k - 6 = 0, 5*p - 3*k - 1 = -25 for p.
-3
Let r = 81 - 89. Let d(a) be the second derivative of -a**4/12 - 7*a**3/6 + 5*a**2 - a. Let x be d(r). Solve -x*j - 2*b = 6, -b = -2*j + b + 10 for j.
1
Suppose 4*g = -f + 42, -85 = -5*f + 5*g - 0*g. Let y = f + -9. Suppose -75 + y = -2*o. Solve -5*m + 2*n + o = 0, 0*m + 4*m = 4*n + 32 for m.
5
Let q be 4/(-9 + (21 - 11)). Solve -m + q*k - 9 = 0, 0 = -3*m - m + 4*k for m.
3
Suppose -20 = 2*c - 6*c, -q + 12 = c. Let b be q/(-5)*50/(-2). Solve -b = -4*m + 3*o, 3*m = -2*o + 6 - 1 for m.
5
Let o(j) be the first derivative of -j**2/2 + 9*j - 10. Let h be o(7). Let l be 35/28*(h - -2). Solve -4*b + l*q = -12, -q - 2 = -0*b - b for b.
-2
Suppose 16*v - 27*v = -44. Solve 8 = -4*w + v*x, 2*w - 4*x = -3*w - 10 for w.
-2
Let y(s) = 40*s + 322. Let a be y(-8). Solve r - 14 = 4*b, 4*b - a*r = -3*r - 18 for b.
-4
Suppose 0 = 2*l - 5*n + 8, 3*l - 2*n - 23 = -13. Solve -f = 2*z + f, -4*z - f = l for z.
-2
Let q(g) = g**2 - g + 206. Let z be q(0). Let m = z + -76. Let j be 370/m - (-2)/13. Solve 2*n + 3 = -j*a + 7, -4*a - 5*n + 17 = 0 for a.
-2
Suppose -3*p - 8 = x - 79, -3*p = 2*x - 73. Suppose 5*i - p = -o - 3, 32 = 4*o + 4*i. Suppose 25 = o*d + 5. Solve 0 = -3*j - d*n - 5, 3 = 4*n - n for j.
-3
Suppose 9 = 5*v - 6. Suppose 2*p = -v*p + 10. Solve 5*r = 5*a - 5, -2*a + 0*a - p*r = -18 for a.
5
Let r be (1/2)/(((-30)/(-24))/5). Solve r*b + 4 - 1 = -3*m, 0 = -b + m - 4 for b.
-3
Let u = -2013 - -2015. Solve -u*a + 8 = -6*a + 3*m, 3*m = 2*a + 10 for a.
1
Suppose 0 = 3*j - 1 - 38. Let k(z) = -z**3 + 14*z**2 - 13*z + 8. Let n be k(j). Let x be (6/4)/((-4)/(-8)). Solve 0*i + 4*i = -x*u + 17, -i + 3*u + n = 0 for i.
5
Suppose -398*k - 36 = -410*k. Solve k*w + 2 = r - 6, -r = -4*w - 9 for r.
5
Let r = 1 + 1. Let s(a) = 7*a**2 - 16*a + 10. Let m be s(2). Solve 4*o - r*p = 0, -m*p + 3*p = 2*o + 16 for o.
-2
Let q be (-11)/((-132)/(-90))*-20. Suppose 0 = -112*r + 118*r - q. Solve -h - 3 - 22 = 5*t, -2*h - r = 5*t for h.
0
Let i(o) = -2*o - 7. Let n be i(-3). Let z = 1 - n. Suppose 3*t - 12 = 3*m - 0*t, 0 = m + z*t - 8. Solve -q - 7 = -3*x, 2*x - q - 2 - 1 = m for x.
4
Let a(k) = -k + 4. Let s(l) = 2*l**2 + l + 1. Let u be s(-1). Suppose -x - 8 - u = 0. Let d be a(x). Solve -j - 3*c + 0 = 3, d = 2*j - 4*c for j.
3
Let z be 5 + (-2)/3*(-9 + 126/12). Let x = 41 - 25. Let q(f) = 6*f - 1. Let s be q(3). Solve 2*g = -g + z*u - s, -2*u = -4*g - x for g.
-3
Let j(h) = 2*h + 14. Let a be j(-6). Suppose 2*u - 12 = -a*u. Solve 3*f = u, g + 3*f = -2 + 4 for g.
-1
Suppose -3*n = -5*k - 34, -32 - 34 = -5*n - k. Let j = -11 + n. Solve 5*y + 40 = -5*b, j*y + 8 = -5*b - 17 for b.
-3
Let w = 159 + -159. Solve -4*u = 2*t - u, -t - 5*u = w for t.
0
Let g(v) = 6*v - 42. Let i be g(11). Suppose -2*x = 4*o - i, 2*o + o - 4 = 2*x. Solve n - 2*y + 1 = -3*y, -n = x*y - 2 for n.
-2
Let c = 0 + 3. Let b be (1 - 0)/((-2)/(-34)). Suppose -r + 3*q + b = 0, 3*r + 2*r = 2*q + 33. Solve r*v - c*d = 5, 3*v = 4*v - 4*d - 18 for v.
-2
Suppose -y - 4*y = -80. Suppose 0 = -s + 2 - 0. Suppose 4*j = -s*p + 26, j + 7 = 5*p - 3. Solve 2*i - p = -1, -i + y = 5*f for f.
3
Suppose -20 = -4*q + 4*y - 12, -4*q + 5*y = -7. Solve -z + 2 = -q*s + 4, 6 = -3*z + s for z.
-2
Let u = -281 + 287. Solve 2*w - w + 5*d + 2 = 0, -3*w + u = 3*d for w.
3
Let w(s) = s + 9. Let j be w(4). Suppose j*i - 16*i = -36. Solve n - i = -4*d, -3*d - 4*n - 6 = -15 for d.
3
Suppose -15*z - 6 = -17*z. Let r = 1 - -1. Solve -3*l + 5*q = r*l - 50, -z*l - 5*q = 10 for l.
5
Let t be 74/14 - (-2)/(-7). Suppose 0 = -7*o + 9*o + 3*d - 15, 0 = o - 4*d + 20. Solve o = l - r - 6, t*l + 2*r - 3*r = 18 for l.
3
Suppose -o = 3*b - 41, -6*o + 3*o = -b - 3. Suppose 2*f + 4 = b. Solve -3*s + 27 = 4*m, -f*m + 10 + 22 = 4*s for s.
5
Let z be (-1 + 2)/2 - 29/(-2). Suppose 4*u + z = -1, -3*b + 4*u = -22. Solve -3*a - a = i - 6, -4 = b*i for a.
2
Suppose -4*v + 8 = u - 6*v, -5*v - 10 = 0. Let s(r) = -10*r**2 - 4 - 8*r - 4*r**3 + 17 + 3*r**3. Let d be s(-9). Solve -u*i + 0 = 4*z - 20, -d*z + i = -5 for z.
2
Suppose 0 = -6*m + 3 + 9. Suppose -4 - 2 = -m*i. Solve -p = 5*u + 30, i*u - 5*p = -2*p for u.
-5
Let m be 5*((-108)/20 + 1). Let y = -19 - m. Let l = -22 + 36. Solve z - y*p = 2*p - l, 5*p + 2 = -3*z for z.
-4
Let m be 13/(-2) + 27/18. Suppose 2*k = -0*k + 18. Let b = k + m. Solve -5 = -n - b*x + 3*x, x - 4 = 0 for n.
1
Let m = -2270 - -2274. Let x(y) = y**2 + 5*y - 3. Let s = -15 - -9. Let b be x(s). Solve -m*h - 5*z + 12 = -2*z, b*z + 9 = 3*h for h.
3
Suppose 0 = 3*b - 5*y + 8*y - 18, 5*b + 4*y = 27. Solve 4*r - 28 = 4*p, 0 = -b*r + 5*p + 35 - 4 for r.
2
Let z = 22 + -12. Suppose 0 = -r + z + 4. Let s be (-5)/15 - r/(-6). Solve s*a + 4 = 2*x, -a + 8 = -0*x + 4*x for x.
2
Let s = -1251 + 1255. Solve -4*b - w + 11 = 0, 3*w = -s*b - 0*w + 9 for b.
3
Let j be ((-8)/10)/(1/(-18 + 3)). Suppose 3*b = -6 + j. Solve -p = 3*f + 11, 0 = -4*f - b*p - 2*p - 12 for f.
-4
Let s = -5 + -11. Let k be (41 - s/(-4)) + -3. Let m = -34 + k. Solve 3*d - 2*r - 10 = m, 0*r - 6 = -4*d - r for d.
2
Suppose v = 3*v + 30. Let y be (-143)/(-7) - v/(-35). Solve 0 = 5*a - 5*j + y, -3*j = -0*a + a - 4 for a.
-2
Suppose 5*z - 5 = f + f, -3*f = 0. Let o(d) = 2*d**2 + 3*d - 1. Let k be o(z). Solve 0 = -h - 3*h + k*x + 8, 4*x = -16 for h.
-2
Suppose -5*d + 7*h - 2*h = 175, 0 = d + 2*h + 50. Let j = d + 44. Solve -2 = -3*t + 4*m - 2*m, 5*t - 4*m - j = 0 for t.
0
Let g be 6 + -3 + -2 - (-2 + 2). Let o be 31/2 - (-2)/(g - 5). Solve -4*d + 5 = 3*s, 0 = 2*s + d - 2*d + o for s.
-5
Let p(n) = 2*n**2 - 3*n - 2. Let x be p(-1). Suppose x*q + 2*m = -0*m - 4, 5*q - 3*m = 25. Solve 5*i = q*v + 8, 0*i + 4*i = -2*v + 10 for v.
1
Let q(h) = -2 + 5*h**2 - 2*h**3 - 5*h + 4*h**3 + 0. Let d be q(-3). Solve 0 = -3*r + 4*y + 6, -5*r = d*y - 10 for r.
2
Suppose 3*t - 2*g = 3, t + 3*g - 18 = -2*g. Solve 0 = 4*m - 2*c - t*c - 6, -c = m - 6 for m.
4
Suppose -t - 5*z = -41, -2*z + 3 = -4*t + 57. Suppose -2*a = -5*d + 12, -2*a + a = -5*d + t. Solve f + 1 = -a*s - 16, -5*f = 4*s + 21 for s.
-4
Let m be ((-24)/(-8))/(-2 + 3). Suppose -m - 5 = -j. Suppose -j - 2 = -5*v. Solve q - 3 = -2*z, -5*z - 1 = -q + v for q.
3
Let p(f) = -15*f + 95. Let j be p(6). Solve -1 = -l + 5*h, -j*l + 3*h + 11 - 28 = 0 for l.
-4
Let y(p) = -p**2 - 7*p - 3. Let z be y(-5). Let x(m) = -m + 15. Let a be x(z). Solve -3*j + 28 = -h + a, 4*h - 4*j = -40 for h.
-5
Let s = 16 - 10. Solve -s = -t - 2*y, -4*y + 10 = -3*t + 4*t for t.
2
Let p(s) = s**3 - 2*s**2 - 12*s + 18. Let j be p(4). Solve -6 = 2*o - 2*v, 3*o - v + 3 = j for o.
1
Suppose j - 2*j + 2 = 0. Let d = 3 + -3. Suppose 2*g + 2 - 12 = d. Solve j*b + 5 = 3*a - 7, 0 = -g*a + 10 for b.
-3
Suppose 0 = -11*i - 30*i + 533. Solve z + 3 - 10 = -w, w = -4*z + i for w.
5
Suppose 0 = -v + 3*v - 4, -4*l + 64 = -4*v. Suppose 6 = 8*g - l. Solve 14 = 4*z + g*d - 0*d, -3*z - 4 = -5*d for z.
2
Let w(i) = -65*i - 255. Let d be w(-4). Solve -g = 4*k + 2 + 9, 3*g - 1 = d*k for k.
-2
Let u = -110 - -113. Solve -3*i = u*r, r = -0*r + i + 4 for r.
2
Suppose -d = i + 14 - 20, 0 = 3*i + 4*d - 21. Solve t = 5*k + 10 + 3, -i*k - t = 3 for k.
-2
Let u(q) = -6*q - 22. Let o be u(-4). Let c = -4 - -8. Suppose -3*r + 34 = 5*i, -6*r - c*i = -4*r - 26. Solve -3*x - 5 - 2 = -o*d, 22 = -2*x - r*d for x.
-5
Suppose -32*w - 6 = -35*w. Solve -w*k + p - 4 = 0, -4*k + 17 - 41 = 2*p for k.
-4
Suppose 0 = 4*z - 18 - 18. Suppose z = -4*a - 5*g + 31, -a + g = -10. Solve a - 1 = -3*y + 4*k, -12 = 2*y + k for y.
-5
Let n(s) = s**3 + 8*s**2 - 13*s - 16. Let t be n(-9). Suppose -q + 11*q - t = 0. Solve 4*m + 16 = 4*h, q*h = 4*m + 17 + 1 for m.
-5
Let a(c) = -c**2 - 16*c - 15. Let o be a(-15). Solve 9*f - 4*f + r - 7 = o, 5*f - 4*r - 22 = 0 for f.
2
Suppose -55 = -4*c + 3*i, 0 = c - 3*i + 5*i. Solve v - 2*f - 14 = 0, 5*v + f - 5 = c for v.
4
Let a = -20 - -34. Let i(w) = -5*w**2 - 3*w - 2*w**3 + 4*w**3 + 6*w + 3 - 1. Let m be i(2). Solve -5*r + a - m = 3*b, r - 2 = b for b.
0
Let z(d) = d + 8. Let w be z(-5). Suppose -3*q - w*h = -2*q - 3, -9 = -3*q + 2*h. Let y = 7 + -4. Solve -y*s + 5 = 4*n, -n - 1 = -q*s +
|
{
"pile_set_name": "DM Mathematics"
}
|
21
Calculate the remainder when 197643430 is divided by 5662.
5658
Calculate the remainder when 3290864 is divided by 25116.
668
What is the remainder when 11777735 is divided by 467?
462
What is the remainder when 11271723 is divided by 536747?
36
What is the remainder when 93874 is divided by 3363?
3073
What is the remainder when 11723396 is divided by 4065?
4001
What is the remainder when 1697169 is divided by 84848?
209
Calculate the remainder when 46311 is divided by 2009.
104
What is the remainder when 1211564 is divided by 2628?
56
What is the remainder when 107928 is divided by 7864?
5696
What is the remainder when 181018 is divided by 556?
318
Calculate the remainder when 62992430 is divided by 21.
11
What is the remainder when 6152801 is divided by 372?
293
What is the remainder when 2766752 is divided by 1046?
82
Calculate the remainder when 1355729 is divided by 5315.
404
What is the remainder when 154277 is divided by 839?
740
Calculate the remainder when 135210891 is divided by 2081.
2078
What is the remainder when 4243242 is divided by 9471?
234
What is the remainder when 4862490 is divided by 99?
6
What is the remainder when 2454173 is divided by 39?
20
Calculate the remainder when 5268680 is divided by 585407.
17
Calculate the remainder when 1804865 is divided by 1192.
177
Calculate the remainder when 6824086 is divided by 26.
22
Calculate the remainder when 3914307 is divided by 87.
3
Calculate the remainder when 81280 is divided by 244.
28
What is the remainder when 732233 is divided by 48812?
53
What is the remainder when 1453264 is divided by 19?
11
What is the remainder when 110016338 is divided by 14?
12
What is the remainder when 53028094 is divided by 795?
4
Calculate the remainder when 5195504 is divided by 21.
20
What is the remainder when 61184 is divided by 4674?
422
Calculate the remainder when 79613 is divided by 86.
63
Calculate the remainder when 810233 is divided by 80.
73
Calculate the remainder when 16667092 is divided by 311.
291
What is the remainder when 94688259 is divided by 653?
647
What is the remainder when 33494 is divided by 72?
14
Calculate the remainder when 798935 is divided by 1607.
256
Calculate the remainder when 14338907 is divided by 14.
9
Calculate the remainder when 757420 is divided by 151.
4
Calculate the remainder when 512697481 is divided by 68.
57
What is the remainder when 13519275 is divided by 1602?
1599
What is the remainder when 676626 is divided by 373?
4
Calculate the remainder when 257474 is divided by 651.
329
Calculate the remainder when 271390 is divided by 5719.
2597
Calculate the remainder when 113961 is divided by 11883.
7014
What is the remainder when 59773 is divided by 3133?
246
What is the remainder when 45575 is divided by 18635?
8305
What is the remainder when 2595898 is divided by 648580?
1578
What is the remainder when 130622 is divided by 388?
254
What is the remainder when 68111944 is divided by 485?
484
Calculate the remainder when 1224384 is divided by 250.
134
Calculate the remainder when 9298482 is divided by 2205.
2202
Calculate the remainder when 2489819 is divided by 64.
27
Calculate the remainder when 66272 is divided by 710.
242
What is the remainder when 1377925 is divided by 70?
45
What is the remainder when 175274 is divided by 1359?
1322
What is the remainder when 138413 is divided by 8138?
67
What is the remainder when 123654 is divided by 336?
6
What is the remainder when 137774 is divided by 6560?
14
Calculate the remainder when 38774 is divided by 988.
242
Calculate the remainder when 27469019 is divided by 10.
9
What is the remainder when 33489 is divided by 15735?
2019
Calculate the remainder when 6743053 is divided by 1165.
33
What is the remainder when 12369983 is divided by 121274?
35
What is the remainder when 1456388 is divided by 151?
144
Calculate the remainder when 192856 is divided by 1914.
1456
What is the remainder when 2184945 is divided by 546225?
45
Calculate the remainder when 1503667 is divided by 221.
204
What is the remainder when 10987212 is divided by 10987210?
2
What is the remainder when 174758 is divided by 43667?
90
What is the remainder when 6286 is divided by 976?
430
What is the remainder when 21470882 is divided by 264?
26
What is the remainder when 581498 is divided by 193829?
11
What is the remainder when 63283324 is divided by 8?
4
Calculate the remainder when 1173365 is divided by 46.
43
What is the remainder when 7412727 is divided by 1058952?
63
What is the remainder when 2892249 is divided by 6558?
171
Calculate the remainder when 131371994 is divided by 281.
279
Calculate the remainder when 57774 is divided by 2078.
1668
What is the remainder when 2594369 is divided by 29150?
19
Calculate the remainder when 5344665 is divided by 3959.
15
Calculate the remainder when 42424834 is divided by 295.
294
What is the remainder when 1781529 is divided by 19?
13
Calculate the remainder when 2599430 is divided by 14939.
44
Calculate the remainder when 1439097 is divided by 7.
2
Calculate the remainder when 1272565 is divided by 74.
61
What is the remainder when 1718078 is divided by 280?
278
What is the remainder when 4527069 is divided by 26?
1
Calculate the remainder when 27282000 is divided by 43.
5
Calculate the remainder when 2310248 is divided by 160.
8
Calculate the remainder when 152389 is divided by 16889.
388
What is the remainder when 578424 is divided by 1013?
1
Calculate the remainder when 53595433 is divided by 8932570.
13
Calculate the remainder when 139299148 is divided by 30.
28
What is the remainder when 261502 is divided by 21781?
130
What is the remainder when 410291 is divided by 164?
127
Calculate the remainder when 387375 is divided by 6477.
5232
What is the remainder when 19175001 is divided by 16250?
1
Calculate the remainder when 626622 is divided by 625929.
693
Calculate the remainder when 96071 is divided by 11957.
415
What is the remainder when 5828201 is divided by 2913975?
251
What is the remainder when 75425737 is divided by 393?
391
What is the remainder when 605186915 is divided by 19?
17
What is the remainder when 1594859 is divided by 18?
5
Calculate the remainder when 7378556 is divided by 6159.
74
Calculate the remainder when 639253 is divided by 13864.
1509
What is the remainder when 19348285 is divided by 49?
47
Calculate the remainder when 3090583 is divided by 50.
33
Calculate the remainder when 909594 is divided by 909577.
17
Calculate the remainder when 42361370 is divided by 53.
7
What is the remainder when 3464086 is divided by 6846?
10
What is the remainder when 489427 is divided by 48929?
137
Calculate the remainder when 806985 is divided by 1564.
1525
What is the remainder when 154568 is divided by 2723?
2080
What is the remainder when 3126576 is divided by 6407?
6367
What is the remainder when 157706475 is divided by 776?
771
Calculate the remainder when 16174 is divided by 5244.
442
What is the remainder when 139459 is divided by 2209?
292
What is the remainder when 622158 is divided by 206984?
1206
What is the remainder when 297985711 is divided by 1484?
1479
What is the remainder when 2772685 is divided by 752?
61
What is the remainder when 1212425472 is divided by 25?
22
Calculate the remainder when 54618523 is divided by 355.
353
What is the remainder when 626979 is divided by 737?
529
What is the remainder when 259792 is divided by 14423?
178
What is the remainder when 131845 is divided by 3877?
27
What is the remainder when 4091765 is divided by 93?
44
Calculate the remainder when 97122 is divided by 8090.
42
Calculate the remainder when 69180927 is divided by 16.
15
Calculate the remainder when 10994722 is divided by 191.
189
Calculate the remainder when 15037435 is divided by 1024.
1019
Calculate the remainder when 503544 is divided by 13361.
9187
Calculate the remainder when 9928481 is divided by 807.
767
What is the remainder when 19128112 is divided by 27?
16
What is the remainder when 16158410 is divided by 702539?
13
Calculate the remainder when 1742525 is divided by 553.
22
What is the remainder when 18589469 is divided by 9294731?
7
Calculate the remainder when 2721 is divided by 204.
69
Calculate the remainder when 740587 is divided by 9595.
1772
|
{
"pile_set_name": "DM Mathematics"
}
|
3.89. Let a = 21 - g. Let y = -97/7 + 14. What is the closest to -0.1 in y, 0.3, a?
y
Let s = 0.2 + -5.2. Let p = 3 + s. Let v be (-1 + 6)*(-1)/3. Which is the closest to 0? (a) 0.4 (b) v (c) p
a
Suppose 0*q + 9 = 3*q. Let y = -101 - -102. What is the closest to 1/3 in q, 5, y?
y
Let j = 40 - 40. What is the nearest to 0.1 in j, -0.1, 4?
j
Let p = 0.1 - 0.1. Let c = 82/11 + -80/11. Let a be 2/5 + (-26)/90. What is the nearest to p in a, 2, c?
a
Let p = 22.5 - 23. Which is the nearest to 0.3? (a) p (b) -5 (c) 1
c
Let r = 0.2 + -0.2. Let p = -34 - -34.1. What is the closest to p in 2, -0.1, r?
r
Let l = 56 + -57. What is the closest to l in -1, 0.3, 0?
-1
Let a = 14 + -13. Let d = -0.36 - -0.06. What is the nearest to a in d, 2/15, 0.4?
0.4
Let x = 1.4 + -1.3. Which is the closest to x? (a) -1 (b) 3 (c) 1/3
c
Let j = -1 + 7. Let x(o) = -o + 4. Let s be x(j). Let r = 25/3 - 8. What is the closest to -0.1 in s, 1, r?
r
Let v = 6 - 8. Let l be 2 + (-9 - 4/v). Which is the nearest to 2? (a) 2 (b) -1 (c) l
a
Let s = 7 - 5. Let x = -4.01 - -0.01. Let z = 4.5 + x. Which is the nearest to s? (a) -0.4 (b) -3 (c) z
c
Let o be -1*((-4)/1 - -2). Suppose -12 = -o*i - i. Let u = i - 7. Which is the nearest to 0.2? (a) 0.3 (b) u (c) -0.4
a
Let q = 3.91 - -0.09. Let s = -4.4 - 0.6. Let g = q + s. Which is the nearest to 1? (a) -5 (b) -3 (c) g
c
Let r = -0.01 - -1.01. Suppose 0 = l + 11 - 6. What is the nearest to -1 in 5, r, l?
r
Let t = -107 - -106. Let z = -2 + 0. What is the closest to 2 in 0.1, t, z?
0.1
Let j = -0.1 - 0.1. Let u = 4/5 - 1/5. What is the nearest to -1 in -1/2, j, u?
-1/2
Let v = -20 - -11. Let s be 5/v - 2/(-6). What is the closest to -4 in -1, s, 1?
-1
Let h = 11 + -12. Which is the closest to 0? (a) -4 (b) -3/4 (c) h
b
Let o = -107 + 753/7. What is the nearest to 1 in -5, o, 0.4?
o
Let b = 143/3 + -47. What is the nearest to -1 in -3, b, -1/6?
-1/6
Let z = -6 - -7. Suppose 5*g + 4 = -1. What is the closest to 0.1 in 3/2, g, z?
z
Let v = 0 - 0.1. Let c(d) = -d**2 - d + 4. Let h be c(-2). What is the closest to 2/7 in 0.2, h, v?
0.2
Let d = -2/89 + 451/267. What is the closest to -0.2 in -2, d, -5?
-2
Let u be -4 + ((-90)/(-14) - 2). What is the closest to 0 in -1/2, u, 0?
0
Let l = -0.18 + 4.18. What is the closest to -2/7 in l, 5, -0.1?
-0.1
Let f = 2.27 + -0.27. Let h = 1.2 + -1. Let n = -3 - -4. Which is the nearest to h? (a) n (b) f (c) -4
a
Suppose 5*g + 4*x = 21, x - 2 = -2*g + 7. Let o be (-12)/(-9)*2/(-8). What is the nearest to o in -0.5, g, 0?
-0.5
Let c be (-3362)/56 - (-6)/21. Let b = 60 + c. Let g be (-2)/72 + 1/4. What is the nearest to b in -3, 0.2, g?
g
Suppose 0 + 7 = 7*i. Let n = -2.5 + 0.5. Which is the closest to n? (a) i (b) -4 (c) -2/9
c
Let s = -1.2 - -1. Let t = 383 - 388. Which is the nearest to -3? (a) t (b) s (c) 0.2
a
Let u = -6.9 - -6.87. Which is the closest to 1? (a) -2/3 (b) u (c) -2/5
b
Let v = -266 - -5056/19. Which is the nearest to -1? (a) v (b) 1 (c) 4/5
a
Let l = 1.1 + -0.1. Let r = 7 + -12. Let z = -112 + 782/7. What is the closest to z in 2/5, l, r?
2/5
Let p be (((-1)/(-1))/3)/(-1). Let q = 19/6 - 23/6. Let x = 2.5 - 2. What is the nearest to q in p, x, 3?
p
Suppose 3*j = -5*d - 27, 0 = 2*j - d - 0*d + 5. Which is the nearest to 0? (a) -3/8 (b) j (c) -3/5
a
Let q = 907/9 + -101. Which is the nearest to 0? (a) q (b) 5 (c) 3
a
Let p = -2 - -2.03. Let r = 0.97 + p. Let d = -5 + r. What is the closest to 1 in d, -0.3, 0.5?
0.5
Let o = 0.1 + -0.02. Let w = o + -0.02. Let s = 0.04 + w. What is the nearest to s in -4, 2/7, -3?
2/7
Let j be ((-8)/340)/((-2)/50). Let r = -33/85 + j. Let w be (2 + -4)/((-2)/1). What is the nearest to 0 in w, r, -4/5?
r
Suppose -2 = -t - 4*x, -4*t - 2*x - 5 = x. What is the nearest to 1/2 in 2, t, 1?
1
Let i(w) = w**2 + 6*w - 8. Let d be i(-7). Let o be (-1)/(d/(-1)*-5). What is the nearest to -1 in o, 0.3, -2/5?
-2/5
Let v be 1/7*5 - 1. Let j be (998/(-21))/(4/(-6)). Let y = -71 + j. What is the closest to -1/2 in v, y, 0.2?
v
Suppose 0 = 9*o - 14*o - 5. What is the nearest to -1 in o, -2/7, -3?
o
Let g be 4/(-6)*-1 - (4 - 2). Let k be 4/(-3)*1 + 2. Which is the nearest to k? (a) -2/5 (b) g (c) 0
c
Let f = -0.16 - -0.26. What is the closest to f in 3, -0.1, 5?
-0.1
Let f = -80 - -238/3. Which is the closest to f? (a) 0.4 (b) 3/2 (c) -5
a
Suppose -5*z = -25, 5*z - 31 = 2*i - 12. Suppose -8*f = -i*f. What is the closest to 1 in 1/2, 0.2, f?
1/2
Let c = 0.6 + -0.3. Let d(j) be the third derivative of j**6/120 + j**5/12 + j**4/6 + j**3/6 - 3*j**2. Let t be d(-4). What is the closest to t in c, -3, -0.5?
c
Let z(s) = -3*s**2 - 18*s + 3. Let v be z(-7). Which is the closest to v? (a) 0 (b) -1 (c) 4
b
Suppose -17 = -6*o - 47. Which is the closest to -2? (a) o (b) 0 (c) 6
b
Let r = 38 + -67. Let f = r + 29. Which is the closest to f? (a) 0.4 (b) 2/3 (c) 2
a
Suppose a - 4 + 5 = 0. Let g = 289/10 - 29. What is the nearest to a in 1, g, -4/5?
-4/5
Let q = 3 + 8. Let u = q + -8. Let g = -29/9 + 3. Which is the nearest to -0.1? (a) -4 (b) u (c) g
c
Let t = -80 + 80. Let j be ((-6)/(-32))/((-3)/(-2)). What is the nearest to t in 0, j, -1/6?
0
Let t = 0.41 - 0.01. Which is the nearest to -0.03? (a) t (b) 5 (c) -0.2
c
Let d be (-2)/(20/9) - -1. Let t = -4.04 + 0.04. Let f be (-14)/(-8) - (5 + -3). What is the closest to 2 in d, f, t?
d
Let i(l) = l**3 + 8*l**2 - 11*l - 22. Let p be i(-9). Which is the closest to 0.6? (a) p (b) 0.3 (c) -4/9
b
Let h be (5 + -1)*2/6. Which is the closest to 2/5? (a) h (b) -6 (c) -1
a
Let s = -85.06 + 85. What is the closest to -2 in s, -5, -3?
-3
Let x be 3 + -3*4/12. Which is the closest to x? (a) -5 (b) 4 (c) -0.2
b
Suppose 0 = -6*p + 4*p. Let y = 0.1 + 0. Which is the nearest to p? (a) -0.5 (b) 0.4 (c) y
c
Let g = -1 - -6. Let p = 0.14 - 0.01. Let k = 0.13 - p. Which is the nearest to k? (a) -1/2 (b) g (c) -4
a
Let a = 1.8 + -1.7. Let i = 0.4 - a. What is the nearest to 0 in 0, i, -5?
0
Let i = 1.52 - 1.32. Which is the nearest to i? (a) -2 (b) 6 (c) -0.5
c
Let p be 1 + (-1 - 1/(-2)). Let q = -8 - -7.4. Let g = q - -0.6. Which is the nearest to g? (a) -5 (b) 0.2 (c) p
b
Let s be (-5)/(-15) - (-116)/(-330). Let q = 62/385 + s. What is the closest to -1 in 1/2, q, 0?
0
Let v = -7 - -9. Which is the nearest to -0.4? (a) 1/2 (b) v (c) -3
a
Let k = 1.5 - -0.5. Which is the nearest to -1/3? (a) 2/7 (b) -0.3 (c) k
b
Let i = 11.1 - 11. Let h = i - -1.9. What is the nearest to 0.1 in 0.5, 1, h?
0.5
Let n = 25.4 + -25. What is the closest to 0 in -0.5, n, -0.2?
-0.2
Suppose 2*y = 7 - 1. Let c = -2.4 - -0.4. Let o = c - -1. What is the closest to 2/9 in y, o, -1/3?
-1/3
Let z = -10 - -5. Let n be (-2)/(-3)*z/(-10). Let v be ((-3)/((-33)/(-2)))/(-1). Which is the closest to 0? (a) v (b) n (c) -3
a
Let x = 179 + -175. Which is the closest to 1? (a) x (b) 2/5 (c) -0.1
b
Suppose -17 = 4*o - 2*s + 11, 0 = -3*o + 4*s - 31. What is the closest to -1 in -2/7, -1, o?
-1
Suppose 37 = 5*g - 3. Which is the nearest to 2/3? (a) -5 (b) 4/3 (c) g
b
Let q = -39 - -18. Let x be (-13)/q + (-6)/18. What is the nearest to 1 in 5, 0.1, x?
x
Let v be 3/5 - 4/4. Suppose -3*t + 6 = 5*f, 4*t = 6*t - f - 4. Suppose -4 = 2*n + t. Which is the closest to v? (a) 2 (b) -2/17 (c) n
b
Let r = 4 - 3. Let m = 1 + r. Let z be (3/(-3)*m)/5. Which is the closest to z? (a) -1 (b) 3 (c) -0.5
c
Let i = 179 + -1429/8. What is the nearest to -0.3 in i, -1/5, -1/3?
-1/3
Let j = -29 + 29. Let n = -8 + 6. Let a = n + -1. What is the nearest to j in a, -1/5, -4?
-1/5
Let h(s) = s**3 - 3*s**2 + 3*s - 1. Let z be h(2). Let y be 2 - (253 - (0 + 0)). Let v = y + 2261/9. Which is the nearest to 1? (a) 2/3 (b) z (c) v
b
Let s = 3.1 + -15.1. Which is the closest to 0? (a) -1 (b) 2 (c) s
a
Let g = 2/3 + -4/3. Let a = 0.1 + 0. What is the nearest to a in 3, 0.4, g?
0.4
Let s = -3 + 3.2. Let f = -337 + 357.1. Let d = -20 + f. What is the closest to s in d, 0, -0.1?
d
Let m = -9 - -8. Let g = -77/40 + 9/8. Which is the closest to m? (a) 0.4 (b) g (c) 2/7
b
Let o be -2*(2 + (-3)/2). Let r = 6 + -7. Let f be (-120)/65 - (-1 + r). What is the nearest to 1 in o, 0.2, f?
0.2
Let w = -4.6 + 4. Let o = 0.1 + w.
|
{
"pile_set_name": "DM Mathematics"
}
|
(2 + (-27 - -10 - -3))) + -25.
-12
What is the value of (61 + -81 - -101) + -16?
65
Calculate -1 + (7 - 0) + -40 + 1 + 6.
-27
What is 11 - (-71 + -61 + 134 + (-2 - -2 - 12))?
21
What is the value of 29 - -2 - (14 - ((21 - -1) + (-377 - -368)))?
30
Evaluate -3 + 6 - (-12 + 32 - 0 - -13).
-30
Calculate (235 - 263 - (0 - -30)) + 1 + -15.
-72
What is the value of -29 + 49 + -21 + 6 + (0 - 5 - 50)?
-50
What is the value of 9 - (35 + -11 - 51)?
36
What is 10 + 1 - (-8 + 55 + -74 + 16)?
22
What is 1 - 5 - 6 - (6 - (-25 + 43)) - 11?
-9
Calculate -6 + -53 - (-3 + (-9 - -3) + -33 + 53).
-70
Calculate -73 - (-100 - (111 - 51)).
87
Calculate -87 - -72 - ((-9 - (2 + -4)) + (-102 - 5)).
99
Evaluate 185 + -86 + 46 - 80.
65
Evaluate 8 - (-55 + -17 - -44).
36
Calculate (14 + -4 - 0) + (-141 - -104).
-27
Evaluate -26 - (23 + -7 - 2).
-40
Calculate -3 + (-6 - 2) + 14 + -3 - 6.
-6
Calculate (54 - -1) + -22 + -18 + (-3 - 1).
11
Calculate 23 + (-1 - -10) + 8 + -9 + (7 - 11).
27
Calculate -8 + (-2 - ((-21 - -2) + -38 + 43)).
4
Calculate 2 - (-1 + (12 - 10) + -1 + -6 + 6).
2
-22 - (71 - 43) - 8
-58
Evaluate -51 - (-6 + 9 + -6 + -3 + 18 + -10).
-53
What is 8917 - 8968 - (1 + -94)?
42
7 + 3 + 58 - (-5 + 12 - 12)
73
Calculate 13 + (-23 - (2 - (23 - 4))) + -22.
-15
What is the value of 0 + 4 + (33 - (35 + -18)) + (-20 - -2)?
2
Calculate -1 + 9 + (-37 - -9 - 0).
-20
What is -8 + -1 + ((5 - 16) + 98 - -12)?
90
What is (-48 - -75) + -145 + 4 + 31?
-83
What is the value of (23 - 31) + (-3 - (17 + -13))?
-15
What is the value of -31 + 11 + -51 + 47?
-24
What is -2 - (-96 + 3 + 204 + -191 + (8 - -1))?
69
What is the value of 32 - (-34 + (45 - 11) + -51)?
83
Evaluate (-23 - -104) + -21 - (18 + 11 + -13).
44
Evaluate 42 + -24 - (22 - 0) - 24.
-28
What is the value of -8 + (-16 - (-8 - 36)) + 11 + -1 + -2?
28
Calculate 17 - (66 - (48 - -35)).
34
Evaluate -42 + 67 + -62 + 89 + 33.
85
Calculate -2 + (-5 - (-9 - (1 + -12))) + (-3 - 32).
-44
What is (-44 - -18) + 20 - (7 - 13 - -31)?
-31
What is the value of 48 + 65 + -124 - 39?
-50
What is the value of 7 + 7 + -14 + (-98 - -48)?
-50
What is (418 - 385) + (3 - (14 + -2)) - 16 - -70?
78
What is 0 + 24 + (-39 + -11 - -69)?
43
(-264 - -346) + 9 + -9 + 5 + (0 - 17)
70
25 + (-27 - (-8 + 4))
2
Calculate (-9 - (-30 + 9)) + -31 - -30 - (1 - 76).
86
Evaluate -53 + -27 + 55 + -17.
-42
Calculate -1 - (-20 - ((9 - 6) + -24 - -13)).
11
Evaluate -31 + (30 + 5 - (-82 - -84)).
2
-11 - (-28 + (8 - -52))
-43
What is the value of (0 - 2) + (-180 - -144) - 3?
-41
What is the value of -39 + 95 - (-3 + -8 + 15) - (-13 - -1)?
64
What is (78 + 56 - 27) + -6 + -5 + 8 + -3?
101
What is the value of -101 + 136 - 132 - -37?
-60
Calculate -1 - -50 - 0 - (-4 - -24).
29
What is the value of -174 + 193 + -21 + -11?
-13
-8 - (0 - -2) - (-1 + 4) - -10
-3
What is the value of -7 + 164 + -42 + -62?
53
What is -42 - (-86 - -31) - (1 + 20)?
-8
What is the value of -50 + (273 - 271) - (2 - 1)?
-49
Calculate -1 - 9 - ((13 - -55) + -85).
7
Calculate -70 - (-84 - (38 - 93)).
-41
-48 - (24 + -99 + 70)
-43
Evaluate 24 - ((-7 + 7 - 17) + 10).
31
(-19 + (56 - 1) - (24 - 39)) + -4
47
80 - (28 - -62 - 53)
43
Evaluate 10 + (-31 - (9 - (-11 + (24 - -8)))) + 24.
15
What is the value of 0 + 79 - (583 - 538)?
34
Evaluate 22 - (0 + 14) - (4 + 3) - (51 - 2).
-48
What is the value of (-20 - -10) + 80 + -129?
-59
What is the value of (0 - -30) + (16 - (-28 + 29) - (11 - -2))?
32
Evaluate (-6 + 34 - 124) + 14 + 39.
-43
Calculate 40 - (81 - (-27 + 81)).
13
Evaluate -48 - -126 - (12 - -149).
-83
Calculate -58 + 46 + 3 + 13.
4
Calculate 350 + -320 + (-67 - 1).
-38
-110 - 50 - -80 - -32
-48
109 - (12 - (2 - 54))
45
What is -71 - ((-18 - (1 - 32)) + -25)?
-59
What is the value of -17 - -7 - (-21 + 20) - (1 - 71)?
61
Evaluate -36 - (-4 + 13 + (1 - (5 - 6))).
-47
Calculate 38 - (-2 - (-21 - -15 - -9)).
43
Evaluate -15 - -18 - -15 - (25 - -28).
-35
What is (24 - -2) + (-179 + 154 - (-23 + 2))?
22
What is -68 + (424 - 126) + -120?
110
What is the value of 32 + (-43 - 32) + (5 - -1) + 18?
-19
Evaluate -6 - (29 + -91) - (-7 + 10).
53
-36 - (-64 - -11) - (-3 + (-1 - 59))
80
Evaluate (25 - 27) + -2 + -9 + 56 + -5.
38
-20 + 3 + 5 + -3 + (78 - 73) + 11
1
(36 + -24 + 1 - 2) + -20
-9
Calculate 2 - -10 - (18 + 17 + -21).
-2
Evaluate -2 - (-2 + -74) - ((56 - -26) + -35 + -31).
58
Calculate -10 + -19 + 14 + 53 + -11.
27
-20 + 2 - (115 + -102)
-31
Evaluate (16 - 88) + 107 - (22 + 0).
13
What is the value of -149 - -114 - (-1 - 68)?
34
Evaluate -70 - (8 - (13 - (16 + 16 + -26))).
-71
470 + -499 + 21 + 0 + 38
30
Calculate 12 - (-5 - (-82 - -22) - 23).
-20
Evaluate -2 + (12 - (52 + 59 + (-1 - -1))).
-101
Calculate -28 + 96 + (-75 - -52).
45
Calculate 1 + -1 + 0 - (0 - 2) - (41886 - 41828).
-56
What is 1 + -30 - (72 + -158 - -47)?
10
Evaluate 153 - (77 - -3) - -17.
90
Calculate -3 + (-7 - -80 - 12) - 2 - 11.
45
What is the value of -16551 + 16468 - (-1 - (3 + 9 + -2))?
-72
What is -6 - (33 - 38 - 20)?
19
-2 + -2 + -9 + 259 + -269
-23
What is (-94 - 83 - -135) + (19 - 0)?
-23
What is -124 - (-125 - (-169 + 90))?
-78
Evaluate 12 + -1 - (156 - (62 + 8 + -45)).
-120
What is -8 + (-6 + 16 + -1 - (56 + -57)) - 31?
-29
Calculate 181 - 149 - (30 - 9).
11
Evaluate 1594 + -1651 - (-3 + -5 - -3).
-52
What is 49 - (139 - 126 - (5 - 0))?
41
Calculate 3 - 1 - (-11 + (7 - (12 + -2)) - -36).
-20
(-3 - (-8 + -5)) + 4 - (-16 + 15)
15
Calculate 59 + -19 + 43 - (14 + -2) - -12 - 8.
75
What is the value of (4 - -4 - -85) + 6 + -34 + 14 + 9?
88
(40 - 75) + 90 + -39
16
-14 + 9 + -9 - (10 - 65)
41
Evaluate 35 + (1 + -17 - (-28 + (15 - 7))).
39
((2 - -7) + -2 - (-282 - -286)) + -5 + 24
22
What is 27 - (39 - (7 + -13 + 14))?
-4
Evaluate 18 - 27 - -19 - (2 + 106).
-98
What is the value of 73 + (55 - 94) + -76?
-42
Evaluate -12 - -14 - (-1 + 2 + -5).
6
Evaluate -54 - ((6 - 94) + 3).
31
What is the value of 16 - (91 - -38 - -36)?
-149
Calculate (37 + (-6 - 22) - (-40 + -2)) + -12.
39
What is the value of -3 - 22 - (1879 + -1846)?
-58
120 - ((18 - 46) + 33 + 17)
98
Calculate (1 - (-2 - (4 + 2)) - (7 + -3)) + -27.
-22
Calculate 11 - (25 - (-9 - -24)) - (-51 + (3 - 2)).
51
(-169 - -204) + (-21 - 0) - -13
27
Calculate -57 + (13 + 4 - 0) + -10 + 0.
-50
Calculate -1 + -5 + (-1 - -71) - (45 + -5 + -31).
55
Evaluate (-51 - 4) + (-16 + 15 + 9 + -11 - 7).
-65
What is the value of -93 + 94 + 10 - -76?
87
Calculate -87 - (15 - (147 + -34)).
11
Evaluate 1 + -2 + (-9 + (-22 - -53) - 29).
-8
What is -70 + (-8 - -4) + (-18 - -77) + -53?
-68
Evaluate 2 + 96 + (13 - 15) - (-8 - (-77 + 61)).
88
What is the value of 15 + 1 - (-42 + 69 - 30 - -19)?
0
((-4 - -4) + 2 - -28) + -119 + 122 - -7
40
Evaluate -7 + (-27 - -10 - -111 - -3 - -2).
92
What is 41 - 17 - 28 - (2 - 24)?
18
Calculate -8 + (6 - (8 + -29) - 5) + -59 + -10.
-55
What is ((-12 - 59) + (1 - -9) - -16) + 1 + -8?
-52
Evaluate ((-1 - -3) + -1 - 5) + (0 - -4).
0
Calculate -81 + 70 + 23 - (0 - (27 - 5)).
34
What is -30 + (14 - (18 + -13)) - 17?
-38
Evaluate (-32 - (-8 + 0)) + (5 - 10 - (1 + 2)).
-32
Evaluate (11 + 10 - 12) + (7 - (10 - (-3 - -6))).
9
What is -11 + -12 + 12 + 24 + (5 - -5) - 12?
11
Calculate -48 - (52 + (22 - 122)) - (-1 - -5).
-4
-32 + (54 - 11) - (1 - 2) - -11
23
-43 + 13 + 373 + -380
-37
Calculate (11 + -35 - (-27 + 5)) + -42.
-44
Calculate -132 + 0 + 136 - (-1 - 9).
14
Evaluate 29 + -22 + 11 - (-5 + (0 - -16)).
7
(0 - (-13 + 3) - 17) + 11 + -1 + -12
-9
What is the value of -20 - ((1 - 14) + -1) - -10?
4
Calculate 4 + -14 - (1084 + -948).
-146
What is the value of 6 + (-9 - (-14 - 11)) + -5 + -1?
16
41 + 1 - (-25 - -15) - 13
39
What is the value of -59 + (-8 + -1 - (-157 + 153))?
-64
Calculate -57 + (181 - 123) + (1 - (2 + 35)).
-35
Evaluate (43 - 19 - 103 - -26) + 4 + -22.
-71
Evaluate (-78 - 41 - -41) + 0 + 23.
-55
What is (16 - (26 - 65) - 5) + 12?
62
Calculate -5 + (-9 - (16 - 12)) + 15 + -1.
-4
Evaluate (-6 - 13) + 13 + 13 + -29.
-22
-31 + -122 + (-73 - -105)
-121
(178 - 137) + (-8 - -1) + (6 - 16)
24
Evaluate -113 + -56 + 206 + -73.
-36
Calculate (1 - (-9 + -13)) + 1 - (-8 - (-12 - -6)).
26
-51 - (20 - -1 - (-168 - -175) - (-18 + 34))
-49
What is the value of -80 + 76 + (49 - 8)?
37
What is the value of 1 + 0 + 23 + (-6 + 15 - (5 - -9))?
19
Calculate -27 - -27 - (-19 - -5 - (0 +
|
{
"pile_set_name": "DM Mathematics"
}
|
). Suppose -4*y = -c*y - 4. Determine i(y).
0
Let b(z) = z**3 + 6*z**2 + 4*z + 2. Let n = -52 + 47. Calculate b(n).
7
Let a(h) = h**2 + 0*h**2 - h + h**3 - 4*h**2 - 4. Suppose -2*u + 3 = -u. What is a(u)?
-7
Let t(a) be the second derivative of -a**4/12 + a**3/3 + a**2/2 - a. Calculate t(-3).
-14
Suppose -4*s - 3 = 5*m - 1, m = -2*s - 4. Let h(y) = y**2 + 2*y - 3. What is h(m)?
5
Let a = -8 - -15. Let i(w) = -w**3 + 6*w**2 + 14*w - 8. Let f(x) = x**3 - 6*x**2 - 15*x + 8. Let t(k) = 5*f(k) + 6*i(k). Give t(a).
6
Suppose -4*f + 6 = -f. Let z(b) = 2*b**f - 4*b - 1 - 3*b**2 - b + b. Determine z(-2).
3
Let f(p) = -p**3 + 6*p**2 - 7*p + 4. Let o(d) be the first derivative of d**4/4 - 5*d**3/3 + 3*d**2 - 3*d + 2. Let z be o(4). Determine f(z).
-6
Let p(b) be the second derivative of b**5/30 - b**4/4 + b**3/6 - 3*b. Let o(h) be the second derivative of p(h). Determine o(4).
10
Let o(y) = 2*y**2 - y. Let g(w) = -w + 1. Let d(x) = g(x) - o(x). Let m = 1 - -1. Determine d(m).
-7
Let w(x) be the second derivative of -1/4*x**4 + 3/2*x**2 + x**3 - 1/20*x**5 - 3*x + 0. Determine w(-4).
-5
Let g = 24 + -17. Let t(f) = f**2 - 9*f + 9. Let u be t(g). Let v(m) = m - 1. What is v(u)?
-6
Suppose 2*f + 2 = 3*f. Let c be f - 0/(9/(-3)). Let x be c/(-4)*20/(-2). Let u(l) = -l**3 + 6*l**2 - 5*l - 5. Give u(x).
-5
Let y(o) = o - 7. Suppose 3*f - q - 13 = q, -3*q = -5*f + 22. Suppose p - 7 - 8 = f*c, 5*p + c = -55. Let g = p + 15. What is y(g)?
-2
Let y = 0 + -1. Let n(v) = v**3 + 5*v**2 + 7*v - 5. Let l(u) = 2*u**3 + 14*u**2 + 20*u - 14. Let c(q) = 6*l(q) - 17*n(q). What is c(y)?
4
Let z(r) = 0*r**2 + r**2 + 1 - 4*r - r. Let f = -41 + 46. Give z(f).
1
Suppose -5*z + 3*o + 20 = -o, 0 = -2*z + o + 5. Let d(c) = -c - 2. Give d(z).
-2
Let y(m) = -3*m**2 + 2. Let g = -4 + 2. Let z be (g + 4)*(1 - 0). Determine y(z).
-10
Let m(w) = w**2 + 3*w**3 + 0 - 2*w**3 + 2 - 3*w + 2*w. Suppose 2*s = 2*o - 4 - 0, -3*s + 2 = o. Give m(s).
2
Suppose f + 28 = 5*f. Let v(q) = -q**3 + 6*q**2 + 6*q + 9. Give v(f).
2
Let z(f) be the third derivative of -f**5/30 + f**3/6 - 10*f**2. Let c be 4/(-18) + (-114)/(-27). Let k = c + -2. Determine z(k).
-7
Suppose 38 = 5*v + b, 40 = 3*v - 5*b + 6. Suppose -5*l - 3*h + 10 = -v, -2*l - 3*h = -9. Let k(a) = -a**3 + 3*a**2 + 3*a - 2. What is k(l)?
7
Let t be 48/21 + 8/(-28). Let l(x) = -6*x + 2 + t*x + 8*x. Calculate l(2).
10
Let u(w) = w + 1 + 0*w + 1. Suppose 20 - 16 = -h. Give u(h).
-2
Let c(i) = -21*i + 1. Let d(t) = -3*t. Let z(s) = -c(s) + 3*d(s). Let m be 6/(-9) + (-10)/(-6). Determine z(m).
11
Let i(n) = 1. Let x(j) = -6*j - 8. Let q(g) = -6*i(g) - x(g). Calculate q(-2).
-10
Let p(w) = -w + 7. Suppose -3*h = -2*h. Let f(o) = o**3 - o**2 + 4. Let q be f(h). Suppose 11 = 2*b - u, 0*b + q*u = b - 16. What is p(b)?
3
Let t(v) = 7*v - 5. Let c(l) = l + 1. Let x(i) = -5*c(i) - t(i). Let r(s) = 2*s - 9. Let h be r(5). Give x(h).
-12
Let n(r) = -4 + r - 5 + 8*r + 2. Let o(t) = -9*t + 6. Let c(x) = 5*n(x) + 6*o(x). Determine c(1).
-8
Let s(x) = 2*x - 1. Let p be s(2). Let u(g) = -2*g + p*g**2 + 2 + 0*g - 1 + 3*g + g**3. Let k(f) = -3*f + 3. Let v be k(2). What is u(v)?
-2
Suppose -v - 3*z = v, 3*v + 2*z = 5. Let o(j) = -2*j + 2*j**2 - 2*j + 1 + 0 - 2. Determine o(v).
5
Let b = -21 + 24. Let w(v) = -v**2 + v + 2. Give w(b).
-4
Let b = -6 - -4. Let h be 1/((1 - b)/6). Let j(d) = 5 - 5 + d**h. Calculate j(-1).
1
Let p = 12 + -18. Let o(i) be the first derivative of i**4/4 + 2*i**3 + i**2/2 + 4*i + 2. Calculate o(p).
-2
Let h(n) = -3*n**2 - n - 2. Let q(k) = -k**2 + k. Let b(l) = h(l) - 2*q(l). What is b(3)?
-20
Suppose -2*v - 7 + 1 = 0. Let o = v - -6. Let s(h) = -h**o + 3 + 4*h**3 + 3*h**2 - 2*h**3 + 4*h. What is s(-2)?
-1
Let p(w) = -w**3 + 3*w**2 + 8*w - 5. Let u(j) = j**2 - 10*j - 19. Let o be u(12). What is p(o)?
-15
Let v(m) be the first derivative of -m**3/3 + m**2 + m + 6. Let x = -3 + 5. Determine v(x).
1
Let m(z) = -z - 5. Let d be m(-13). Let t(l) = 2*l + 3. Calculate t(d).
19
Let z(o) = o**2 + 5*o - 2*o + o**3 - 2 + 3*o**2. Give z(-3).
-2
Let f(n) = -n - 11. Let b(y) = y**2 - 8*y + 8. Let a be b(3). Calculate f(a).
-4
Let s(y) = y + 4. Suppose 2*j - 7 = 3*i, 0 = 3*j + j + 4*i + 16. Let c = -3 - j. Give s(c).
2
Let a(x) be the second derivative of -x**4/12 + 2*x**3/3 + 3*x**2/2 + 3*x. Let o be ((-1)/(-2))/(((-28)/48)/(-7)). What is a(o)?
-9
Let i(m) be the second derivative of 2/3*m**3 + 7/2*m**2 - 1/12*m**4 + 0 - m. Suppose -2*p - 2*k + 19 = -5*k, -9 = -3*p - 2*k. What is i(p)?
2
Let w(n) = -2 + n + 3 - 2. Let y be w(-1). Let t(o) = -27*o**3 + 3*o**2 + 3*o + 67*o**3 - 39*o**3 + 2. Give t(y).
0
Let t(m) = m**3 + 2*m**2 + 2*m + 1. Suppose 14 = 4*q + 3*g, 4*q - 2*q - 4*g + 4 = 0. Suppose 0*s + q*s = 0. Let v = -2 + s. Calculate t(v).
-3
Let c(j) = -3*j + 3. Suppose -4*q = -13*q + 18. Calculate c(q).
-3
Let j = 18 - 13. Suppose 5*d - j = -0*d. Let l(t) = -2*t**2 - 4*t**2 + 1 - t + 0*t**2. What is l(d)?
-6
Let p(n) = n + 1. Let i(k) = -k**2 - 7*k - 1. Let v(s) = -i(s) - 4*p(s). Suppose -5*o - 4 = -4*o. Calculate v(o).
1
Let l = 4 + -2. Suppose 5*u + 4*o - 8 = 3*u, 0 = -5*u + l*o + 20. Let h(c) be the third derivative of c**4/24 - c**3/6 - c**2. What is h(u)?
3
Let y(t) = 4*t**2 + t - 17. Let k(i) be the third derivative of 0 + 0*i + 2*i**2 + 0*i**4 + 1/60*i**5 - 2/3*i**3. Let c(l) = 9*k(l) - 2*y(l). Calculate c(3).
1
Let z(f) = f**3 - 4*f**2 + 5. Suppose 0 = 2*d + d, -y - 5*d = -4. Let p be z(y). Let x(j) = j - 4. Determine x(p).
1
Let c(i) = i**3 - 2*i - 2. Let l(n) = -4*n**3 + 5. Let p(u) = -5*u**3 - u + 6. Let k(w) = -4*l(w) + 3*p(w). Let s(h) = -3*c(h) + 2*k(h). What is s(2)?
-6
Let k(i) = i - 8. Let x(v) = -v**3 + v**2 + 2*v - 1. Let w be x(-2). Suppose 19 - w = 2*j. What is k(j)?
-2
Let m(f) = f**2 - 7*f + 9. Let y be m(5). Let n(v) = 6*v**3 + 1. What is n(y)?
-5
Let h(s) = 20*s**3 + 17*s**2 + 8*s - 14. Suppose -10 = -8*i + 3*i. Let f(m) = 1 + 9*m**i - 6 + 3*m - 3*m**2 + 7*m**3. Let z(p) = 17*f(p) - 6*h(p). Give z(2).
-3
Let z(t) be the first derivative of t**2/2 - 5*t + 16. Give z(7).
2
Let a(j) = -j + 11. Let g be a(9). Suppose g*d = 3*t - 4, 0 = -0*d + 4*d + t + 8. Let z be 1 - -1 - (2 - d). Let k(m) = -3*m**2 - 3*m - 1. What is k(z)?
-7
Let w(a) be the third derivative of -a**4/24 - a**3/6 + 3*a**2. Let o(q) = -7*q**3 + 2*q**2 + q. Let x(r) = o(r) - w(r). Determine x(-1).
8
Suppose -3*o + 33 = 2*d, -d + 0*o + 21 = 3*o. Let r be d/18 + 20/6. Let l(q) = -q**2 + 6*q - 6. What is l(r)?
2
Let v(b) = 17*b - b**2 + 4 - 9*b - 11. Let z = 14 - 9. Give v(z).
8
Let r(h) be the first derivative of -h**4/4 + 7*h**3/3 + 4*h + 3. Determine r(7).
4
Suppose -2 - 3 = -2*b - 3*h, h = b + 10. Let u(y) = y - 5. Give u(b).
-10
Let o = 6 - 4. Let r(h) = 4*h**2 + 2*h + 2 - 3*h**o - 5*h. Let t be r(3). Let y(p) = p - 3. Give y(t).
-1
Suppose t + 2*d = -4, 1 = 3*d - 8. Let f = t + 5. Let x(l) = -2*l - 3. Calculate x(f).
7
Let v(u) = -2*u**3 + 2*u + 1. Suppose -h = 3*n + 5, -3*h = -7*h + 4*n - 4. Determine v(h).
13
Let d(a) = 2*a - 2. Suppose -2*s + 2*u = 12, 2*s + 5*u = -0*s - 5. Give d(s).
-12
Let q be (-14)/18 - (-10)/(-45). Let o(f) = -36*f - 5. Let v(b) = 7*b + 1. Let m(d) = -2*o(d) - 11*v(d). Determine m(q).
4
Let b(n) = -5*n**3 - 41*n**2 + 6*n - 46. Let o(u) = -u**3 - 8*u**2 + u - 9. Let w(t) = -2*b(t) + 11*o(t). Determine w(-6).
-1
Let f(j) = -2 - 6 + j + 4. Suppose -5*w - k - 9 = 0, -3*w - 2*w + 3*k = 13. Let m = w + 5. Determine f(m).
-1
Let m = -32 - -39. Let h(v) = -2*v + 9. What is h(m)?
-5
Let v(n) be the second derivative of n**4/3 - n**3/2 - 2*n**2 + 2*n. Let t(x) = -3*x**2 + 3*x + 3. Let f(o) = 3*t(o) + 2*v(o). What is f(5)?
-9
Let k be 10/(-2) + 3 + -2. Let j = k + 7. Let g(v) = -v**3 + 3*v**2 + 1. What is g(j)?
1
Let y(f) = 3*f + 7*f**2 - 4*f**2 - 2*f**2 - 8*f. Let i be 3*(2 - (-2)/(-3)). What is y(i)?
-4
Let y(c) = -6*c**2 + 4 - 3*c + 4*c + c**3 + 2*c**3 - 4*c**3. Suppose -3*w + s - 14 = -0, 3*s = 3*w + 6. What is y(w)?
-2
Let u be (49/21)/(35/30). Let z(y) = -2*y**3 - 2. Calculate z(u).
-18
Let t(f) = -3*f + 3. Let c(a) = 2*a - 3. Let h(u) = -5*c(u) - 4*t(u). What is h(-4)?
-5
Suppose 0 = w - 2*y + 5, -2 + 12 = -2*w - 2*y. Let f(s) = -s**3 - 6*s**2 - 3*s + 5. What is f(w)?
-5
Let j = 9 + -5. Suppose -5*g + 23 = j*q, 2 = -2*q - 3*g + 5*g. Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
*c**3*d + 641*c**3 + 2 wrt d?
-29735*c**3
Find the first derivative of -3*d*p**3*z - 3*d*p*z - 31*d*t + 2*p**3*t*z - 9*p**3*t - 4*p**3 - 3*t wrt d.
-3*p**3*z - 3*p*z - 31*t
Differentiate 6*a*b**3 + 2*a*b**2 + 2*a*b*z - a*b + b**3*z + 10*b*z wrt z.
2*a*b + b**3 + 10*b
What is the second derivative of -4395*n**2 + 4*n - 77?
-8790
Differentiate -2278*o - 321.
-2278
Find the second derivative of 122*b**2*k*t**2 + 13*b**2*t**3 + b**2*t**2 + 48*b*k + 14*b*t**3 - b*t wrt b.
244*k*t**2 + 26*t**3 + 2*t**2
Find the third derivative of 437*p**5 + p**4 - 693*p**2 wrt p.
26220*p**2 + 24*p
What is the second derivative of -6*r**4 + 2*r**3 + 88*r**2 + 3*r - 246?
-72*r**2 + 12*r + 176
What is the second derivative of -39*d**5 - 5*d**3*z - d*z - 3*z - 104 wrt d?
-780*d**3 - 30*d*z
Find the second derivative of 17*j**2*o**3 - 3*j**2*o + 10*j**2 + 4*o**3 - 2 wrt o.
102*j**2*o + 24*o
What is the third derivative of -71*i**4*m**2 - 13*i**4 + 76*i**2*m**2 + 6*i*m**2 - 2*i wrt i?
-1704*i*m**2 - 312*i
Find the third derivative of 2*j*k**2*o**3 - 4*j*k**2 - 2*j*k*o + j*k - 10*j*o**4 + k**2*o**2 - 5*o**5 wrt o.
12*j*k**2 - 240*j*o - 300*o**2
What is the second derivative of -10*m**3*u + 85*m**3 - m*u + 880 wrt m?
-60*m*u + 510*m
Find the second derivative of -b**3*p + 5*b**2*p**2*t + 52*b**2*p*t - 3*b*t - 3*p**2 + 3*p*t + 32*t wrt b.
-6*b*p + 10*p**2*t + 104*p*t
What is the third derivative of -153*z**4 - z**2 + 2?
-3672*z
Differentiate 2*f**3*r*w + 8*f**3*r + 2*f*r - 21*r*w**2 - 2*r*w - 5*r + 2*w**2 with respect to w.
2*f**3*r - 42*r*w - 2*r + 4*w
What is the derivative of 2785*i**3 + 7842 wrt i?
8355*i**2
What is the second derivative of 4*h**2*x**3 + 388*h**2*x**2 - 27*h*x**3 + 18*h*x**2 wrt h?
8*x**3 + 776*x**2
Differentiate -428*t**3*y**2 + 2*t**3*y - 37*t**3 - t**2 + 2*t*y**2 with respect to y.
-856*t**3*y + 2*t**3 + 4*t*y
What is the second derivative of 3*l**3*s**2 + 4*l**3*s + 23*l**2*s**2 + 1274*l - 2*s**2 wrt l?
18*l*s**2 + 24*l*s + 46*s**2
Find the first derivative of 70*s**3 - 17*s**2 + 27272.
210*s**2 - 34*s
What is the third derivative of -516*b**2*h**4 + 17*b**2 + b*h**4 - 2*b*h**2 + 3 wrt h?
-12384*b**2*h + 24*b*h
Find the second derivative of 2*f**3*i**2*w + 54*f**3*i**2 - 13*f**3 - 31*i**2*w**2 - 755*i*w**2 wrt i.
4*f**3*w + 108*f**3 - 62*w**2
Find the third derivative of -2*a**2*v**4 - 56*a**2*v - 224*v**5 + 2*v**2 wrt v.
-48*a**2*v - 13440*v**2
What is the second derivative of 727*p**4 + p**3 - 2096*p?
8724*p**2 + 6*p
Differentiate -4*i*m**4 + i*m + 45*i*p + 5*m*p**2 - 10*p**2 wrt m.
-16*i*m**3 + i + 5*p**2
What is the third derivative of -2*d**3*k**2*p*x**3 - 3*d**3*k**2*x + d**3 + d**2*k*p*x + 85*d*k*p*x**3 - 4*d*p*x**2 + 2*k**2*x wrt x?
-12*d**3*k**2*p + 510*d*k*p
Find the second derivative of 128*h**5*t + h*t - 17*t - 1 wrt h.
2560*h**3*t
What is the first derivative of 1496*k + 1313?
1496
What is the derivative of 31*c*m**2*q + 2*c*m**2 - 7*c*m + m*q**2 - 2*m*q wrt q?
31*c*m**2 + 2*m*q - 2*m
What is the first derivative of -60*i*x**3 - i*x**2 - 1744*i - 5*x**3 - 2 wrt x?
-180*i*x**2 - 2*i*x - 15*x**2
What is the derivative of -1389*d + 490?
-1389
Find the third derivative of 117*f**3*j**2 - 3*f**3*q - f**2 - 9*f*j**2 + 18*f*q + j wrt f.
702*j**2 - 18*q
Find the third derivative of -6407*x**3 + 4315*x**2.
-38442
Find the first derivative of 2164*x - 1881 wrt x.
2164
What is the third derivative of -122*h**3 - h**2 + 26?
-732
What is the second derivative of -4019*x**4 + 21*x - 3?
-48228*x**2
Find the second derivative of 5*p**3 - 333*p**2 - 7658*p.
30*p - 666
Find the first derivative of -2*m**3 + 224*m**2 - 502.
-6*m**2 + 448*m
What is the third derivative of 3*s**4*u**2 + 1119*s**4*u - 2*s**3*u - 8*s**2*u**2 + 650*s*u**2 wrt s?
72*s*u**2 + 26856*s*u - 12*u
Find the third derivative of 2924*w**6 - 2*w**4 - 2*w**2 + 4023 wrt w.
350880*w**3 - 48*w
What is the first derivative of 14*a**2 + 3*a - 969 wrt a?
28*a + 3
What is the third derivative of 32*j**5 + 2*j**2 - 320 wrt j?
1920*j**2
What is the second derivative of -261*x**4 + 104*x - 2?
-3132*x**2
What is the second derivative of 2691*p**4 + 1479*p?
32292*p**2
What is the first derivative of 973*o**4 + 2*o**2 + o - 6840 wrt o?
3892*o**3 + 4*o + 1
Find the second derivative of -27*c**5 - 2*c**2 - 10*c - 6 wrt c.
-540*c**3 - 4
What is the third derivative of -16*f**4 - 17*f**3 - 1016*f**2 wrt f?
-384*f - 102
Find the third derivative of -1427*p**3 - 2481*p**2 wrt p.
-8562
What is the derivative of 103*c**2 + 6*c + 11053 wrt c?
206*c + 6
What is the second derivative of 9*d*w**4 - d*w**3 - d*w**2*y**3 + 2*d*w*y**2 - d*w*y - 3*d*w - 11*y**3 wrt w?
108*d*w**2 - 6*d*w - 2*d*y**3
Differentiate p**2 + 235*p + 253 wrt p.
2*p + 235
Find the second derivative of -526*w**5 + w + 130 wrt w.
-10520*w**3
What is the first derivative of f*r**3 - 2*f*r*v**2*z - 131*f*v**3*z + 2*r**3*v**2*z + 4*r**2*v**3*z - 483*r**2*v**2*z wrt f?
r**3 - 2*r*v**2*z - 131*v**3*z
What is the first derivative of 3*h**2*j**3*p + 2*h**2*j**3 + 398*h*j**3*p + 2*h*j**3 - 307*j**3 wrt p?
3*h**2*j**3 + 398*h*j**3
What is the third derivative of 2*u*v**2*x**3 - 3*u*v**2*x**2 - 4*u*v - 3*v**2*x**3 + 27*v**2*x + 2*v**2 + 411*v*x**3 wrt x?
12*u*v**2 - 18*v**2 + 2466*v
Find the second derivative of 5231*f**2 + 6250*f.
10462
Find the third derivative of -6*q**4*v**3 + 38*q**3*v**3 + 3*q**2*v**2 + q**2 - 18*v**3 wrt q.
-144*q*v**3 + 228*v**3
What is the third derivative of l**3*u**3 + 551*l**3 + 8*l**2*u**3 + 4*l**2*u**2 + 5*l*u wrt l?
6*u**3 + 3306
Find the second derivative of -6*t**4 - 8*t**3 + t - 140 wrt t.
-72*t**2 - 48*t
Differentiate -c*q**4 - 56*c*q**3 + 5*c + 94 with respect to q.
-4*c*q**3 - 168*c*q**2
What is the derivative of i*m**3 + 331*i*m**2 + 1204*i + 2*m - 1 wrt m?
3*i*m**2 + 662*i*m + 2
What is the second derivative of -2*k**3*v**2 + 4*k**3*v + 11*k**2*v**2 - 26*k**2*v - 3*k*v**4 wrt v?
-4*k**3 + 22*k**2 - 36*k*v**2
Find the third derivative of -3*r**3*w**3 - 25*r**3*w**2 - 69*r**2*w**3 - r**2*w wrt r.
-18*w**3 - 150*w**2
What is the second derivative of -209*r**5 + 2*r - 60?
-4180*r**3
What is the derivative of 721*g**2*r**3*w - 4*g**2*r**3 - g**2*r**2*w + 1037*r**3 wrt w?
721*g**2*r**3 - g**2*r**2
Find the second derivative of -15817*c**4 - 6*c + 1057 wrt c.
-189804*c**2
Find the first derivative of 17*s*w - 2*s - 38*w + 158 wrt w.
17*s - 38
What is the third derivative of 3312*q**5 + q**3 + 4*q**2 - 2*q + 41?
198720*q**2 + 6
Find the second derivative of 192*i**5 - 535*i.
3840*i**3
Find the first derivative of 344*f**2*r - f**2 + 205*f wrt r.
344*f**2
What is the second derivative of -15*h**2*i - h**2 - 331*h*i + 1 wrt h?
-30*i - 2
What is the derivative of 2471*t**3 + 2679?
7413*t**2
Find the third derivative of -3*h**4*z**2 - 81*h**4 + h**3*z**2 - 310*h**2*z**2 - h*z**2 wrt h.
-72*h*z**2 - 1944*h + 6*z**2
What is the third derivative of -12*g*k**3*p**3 - g*k**3*q + 2*g*k**3 - g*k*p**3 - g*k*p**2 + 2*g*k*q - 5*k**2*p + 3*k**2*q wrt k?
-72*g*p**3 - 6*g*q + 12*g
Find the second derivative of -56*x**2 - 18*x wrt x.
-112
What is the second derivative of 153*g**3*h**2 + 524*g**3*m + g**2*h - 76*g*h**2*m + 2*g*m + h wrt h?
306*g**3 - 152*g*m
What is the first derivative of w**4 + 87*w**2 + 272 wrt w?
4*w**3 + 174*w
Find the second derivative of -q*y**3 + 30*q*y**2 - 15*q*y - 2*q - 30*y**3 + 36*y wrt y.
-6*q*y + 60*q - 180*y
What is the derivative of -2*n**2*v**3 + n**2*v**2 - 4*n*v - 386*v**3 + 2*v**2 wrt n?
-4*n*v**3 + 2*n*v**2 - 4*v
Find the third derivative of -7069*v**4 + 4086*v**2 + 3*v.
-169656*v
Find the third derivative of 8*s**4 - 42*s**3 + 54*s**2 + 2*s wrt s.
192*s - 252
Differentiate 133*f**4*z**3 - f**4 - 5*z**3 + 2*z**2 wrt f.
532*f**3*z**3 - 4*f**3
What is the third derivative of 13*l*p**3*u**3 - l*p**3 + 9*l*p**2*u**2 + 2*p**2*u**3 - 5*p**2*u**2 wrt p?
78*l*u**3 - 6*l
Find the third derivative of -252*s**4 - 95*s**2 wrt s.
-6048*s
Differentiate 50*r**4 + 43*r**3 + 792 wrt r.
200*r**3 + 129*r**2
What is the first derivative of 8*f*l*q**2 + 2*f*l*v - 2*f*q*v**2 - 2*f*v - 7*l*q**2*v**2 + 66*q**2 wrt l?
8*f*q**2 + 2*f*v - 7*q**2*v**2
What is the derivative of -365*a**3*x + 19*a**3 - 12*a**2 wrt x?
-365*a**3
Differentiate f*j**2*z + f*j**2 - 19*f*j + 19*f*z + 2*j**2 - 23 with respect to j.
2*f*j*z + 2*f*j - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
m {o: 10}. What is prob of picking 3 o?
1
Calculate prob of picking 1 m and 1 y when two letters picked without replacement from mmymyymmmymmmmmmmmmm.
32/95
Four letters picked without replacement from yncxyxnyc. What is prob of picking 1 c, 2 y, and 1 n?
2/21
Four letters picked without replacement from {x: 3, v: 1, s: 3, z: 1, y: 4, k: 5}. Give prob of picking 1 k and 3 y.
1/119
Four letters picked without replacement from {h: 3, k: 8}. Give prob of picking 3 k and 1 h.
28/55
What is prob of picking 1 k, 1 e, and 1 b when three letters picked without replacement from ekbkekeeeekbbbb?
24/91
Calculate prob of picking 2 f and 1 s when three letters picked without replacement from fsfscccfsfccfcsff.
21/170
Four letters picked without replacement from {x: 2, n: 3, y: 1, w: 4, e: 1}. What is prob of picking 4 e?
0
What is prob of picking 1 v and 1 y when two letters picked without replacement from vucyw?
1/10
Calculate prob of picking 1 t, 1 y, and 2 q when four letters picked without replacement from qqtqtyttt.
5/42
Three letters picked without replacement from {t: 2, l: 2, o: 1}. Give prob of picking 1 o and 2 t.
1/10
Four letters picked without replacement from incceiiiwnew. What is prob of picking 2 c and 2 w?
1/495
What is prob of picking 1 a and 3 x when four letters picked without replacement from xaaxaxaaaxaax?
16/143
What is prob of picking 1 v and 1 t when two letters picked without replacement from udtjvfuj?
1/28
Two letters picked without replacement from afklbfkbblkbkk. Give prob of picking 1 k and 1 b.
20/91
Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {w: 2, h: 1, s: 1, g: 2, x: 2, b: 1}.
1/9
What is prob of picking 2 l when two letters picked without replacement from {y: 4, a: 1, c: 2, q: 1, l: 2, j: 2}?
1/66
Two letters picked without replacement from {m: 19, y: 1}. Give prob of picking 1 m and 1 y.
1/10
Two letters picked without replacement from {c: 1, e: 2}. Give prob of picking 2 e.
1/3
What is prob of picking 3 k and 1 e when four letters picked without replacement from kbebkbekbebe?
4/495
Four letters picked without replacement from qbekqkkwkkqwkqqkbq. What is prob of picking 1 k, 1 e, and 2 w?
7/3060
Four letters picked without replacement from gxgxggxgxxgg. What is prob of picking 3 g and 1 x?
35/99
What is prob of picking 1 y and 1 v when two letters picked without replacement from {t: 1, y: 1, j: 2, v: 3, h: 10}?
3/136
Four letters picked without replacement from {d: 4, u: 2, c: 8}. Give prob of picking 2 d and 2 u.
6/1001
Two letters picked without replacement from ggtmmt. Give prob of picking 2 t.
1/15
Three letters picked without replacement from gtgbggbtgiggbgbg. What is prob of picking 1 i, 1 t, and 1 g?
9/280
What is prob of picking 4 d when four letters picked without replacement from ddjddjdd?
3/14
What is prob of picking 1 d and 1 x when two letters picked without replacement from dooxoddxde?
8/45
Three letters picked without replacement from {q: 1, b: 1, e: 4, g: 3, p: 7, o: 4}. What is prob of picking 1 p and 2 o?
7/190
What is prob of picking 1 j, 1 p, and 1 y when three letters picked without replacement from pyyyjddxdyjykddd?
1/56
Calculate prob of picking 3 l when three letters picked without replacement from pppppplpplplppll.
1/56
Three letters picked without replacement from {h: 10, w: 5, f: 4, v: 1}. Give prob of picking 1 v and 2 w.
1/114
Three letters picked without replacement from {k: 6, s: 4, z: 7}. What is prob of picking 3 k?
1/34
Three letters picked without replacement from aaatatttttattaat. Give prob of picking 3 t.
3/20
Calculate prob of picking 2 t and 1 s when three letters picked without replacement from sssssssssssssttsss.
1/51
Calculate prob of picking 2 y when two letters picked without replacement from {t: 1, z: 4, y: 2, s: 7, f: 2, v: 1}.
1/136
Two letters picked without replacement from szzzzznsnzzzzzzszz. What is prob of picking 1 s and 1 z?
13/51
Two letters picked without replacement from {v: 5, n: 1, b: 1, x: 3, f: 1, d: 4}. Give prob of picking 1 d and 1 n.
4/105
Two letters picked without replacement from xxdvyqqddyxxpp. Give prob of picking 1 v and 1 p.
2/91
Calculate prob of picking 1 i and 3 a when four letters picked without replacement from {a: 9, z: 5, u: 3, i: 3}.
84/1615
Two letters picked without replacement from {h: 4, q: 2}. Give prob of picking 2 q.
1/15
Calculate prob of picking 1 t and 3 j when four letters picked without replacement from {j: 7, t: 5}.
35/99
Calculate prob of picking 2 k and 2 n when four letters picked without replacement from {n: 2, u: 1, i: 4, k: 3, a: 1}.
1/110
What is prob of picking 1 c and 3 v when four letters picked without replacement from vvcvvvvvvvvvvcvc?
33/70
Two letters picked without replacement from {x: 3, p: 5, o: 3, d: 1, h: 1, j: 2}. Give prob of picking 1 p and 1 d.
1/21
Two letters picked without replacement from jkxjkkkkxkjxjkjkxjkk. What is prob of picking 2 k?
9/38
Two letters picked without replacement from {n: 7, g: 1, k: 1, e: 4, t: 3, i: 4}. What is prob of picking 1 t and 1 k?
3/190
Three letters picked without replacement from {e: 4, r: 4, w: 7, m: 4, g: 1}. What is prob of picking 1 e and 2 m?
2/95
Four letters picked without replacement from ecceecewewwecewccecw. What is prob of picking 4 e?
14/969
Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {j: 2, s: 1, d: 1, p: 2}.
1/15
Two letters picked without replacement from {z: 2, e: 11}. Give prob of picking 2 e.
55/78
Four letters picked without replacement from {n: 15, m: 5}. Give prob of picking 1 n and 3 m.
10/323
Four letters picked without replacement from chjjbjzzhhzczhhjh. Give prob of picking 2 z, 1 b, and 1 h.
9/595
Four letters picked without replacement from {q: 2, u: 9}. Give prob of picking 2 u and 2 q.
6/55
Calculate prob of picking 4 p when four letters picked without replacement from {x: 2, l: 2, p: 4}.
1/70
Two letters picked without replacement from {g: 1, e: 8, s: 2, c: 4}. What is prob of picking 1 e and 1 g?
8/105
Four letters picked without replacement from nnnnnrrrxrxn. Give prob of picking 2 x and 2 r.
2/165
Two letters picked without replacement from dduzdijzgdug. What is prob of picking 2 d?
1/11
Four letters picked without replacement from totbtttpjfoop. Give prob of picking 1 t and 3 j.
0
What is prob of picking 3 o when three letters picked without replacement from oozoz?
1/10
Calculate prob of picking 2 r, 1 c, and 1 m when four letters picked without replacement from vzzcrrzmycr.
1/55
What is prob of picking 1 e and 1 m when two letters picked without replacement from {c: 1, w: 2, m: 1, e: 4, l: 1}?
1/9
Three letters picked without replacement from {y: 4, x: 6}. What is prob of picking 3 y?
1/30
What is prob of picking 4 k when four letters picked without replacement from kkkknkkkkkknnkkk?
11/28
Two letters picked without replacement from {l: 8, b: 5}. Give prob of picking 1 l and 1 b.
20/39
What is prob of picking 3 w and 1 i when four letters picked without replacement from {w: 3, a: 4, i: 1, u: 1, x: 4}?
1/715
Four letters picked without replacement from pppppvvvpppppv. Give prob of picking 3 v and 1 p.
40/1001
Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, w: 4, v: 2}.
7/26
Calculate prob of picking 1 n and 1 g when two letters picked without replacement from hghghngngnhhhngghghg.
16/95
Two letters picked without replacement from {z: 4, f: 1, y: 8, k: 6, o: 1}. What is prob of picking 1 y and 1 k?
24/95
Two letters picked without replacement from kkckkcckkcmkmck. Give prob of picking 2 c.
2/21
Three letters picked without replacement from duuzguuuu. What is prob of picking 1 d, 1 z, and 1 u?
1/14
Three letters picked without replacement from {k: 9}. Give prob of picking 3 k.
1
Three letters picked without replacement from {u: 17, x: 2}. What is prob of picking 1 x and 2 u?
16/57
Calculate prob of picking 2 f and 1 l when three letters picked without replacement from {l: 3, j: 4, f: 4}.
6/55
Three letters picked without replacement from {l: 5}. What is prob of picking 3 l?
1
Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {n: 2, b: 1, m: 1}.
1/4
Calculate prob of picking
|
{
"pile_set_name": "DM Mathematics"
}
|
34628 a multiple of 25?
False
Does 20 divide 581?
False
Is 23 a factor of 690?
True
Is 110097 a multiple of 15?
False
Is 117 a factor of 3604?
False
Does 71 divide 142?
True
Is 2 a factor of 58?
True
Does 58 divide 5452?
True
Is 16 a factor of 1765?
False
Is 1836 a multiple of 108?
True
Is 42331 a multiple of 18?
False
Is 118 a factor of 17346?
True
Is 10 a factor of 1313?
False
Is 3 a factor of 41?
False
Does 6 divide 1730?
False
Is 36 a factor of 8784?
True
Is 121 a factor of 15416?
False
Is 39755 a multiple of 48?
False
Is 920 a multiple of 56?
False
Is 11 a factor of 836?
True
Is 18 a factor of 9722?
False
Is 32 a factor of 16557?
False
Is 4 a factor of 836?
True
Is 25947 a multiple of 9?
True
Is 25 a factor of 334?
False
Does 10 divide 679?
False
Is 604 a multiple of 12?
False
Does 111 divide 7144?
False
Is 450 a multiple of 15?
True
Is 12 a factor of 6942?
False
Is 88 a factor of 4576?
True
Is 191 a factor of 25262?
False
Is 72 a factor of 71830?
False
Is 19 a factor of 12259?
False
Is 217 a factor of 5349?
False
Is 19 a factor of 1158?
False
Is 20 a factor of 2404?
False
Does 9 divide 972?
True
Does 12 divide 312?
True
Is 11 a factor of 242?
True
Is 36034 a multiple of 285?
False
Is 8 even?
True
Is 5 a factor of 50?
True
Does 26 divide 1664?
True
Does 59 divide 15694?
True
Is 79 a factor of 237?
True
Does 112 divide 39536?
True
Does 59 divide 1206?
False
Is 37603 a multiple of 43?
False
Does 17 divide 697?
True
Does 15 divide 153?
False
Does 14 divide 20016?
False
Does 27 divide 12625?
False
Is 18 a multiple of 3?
True
Is 53 a factor of 371?
True
Is 4326 a multiple of 15?
False
Does 34 divide 26826?
True
Does 8 divide 15728?
True
Is 1568 a multiple of 3?
False
Does 13 divide 11154?
True
Is 60 a multiple of 9?
False
Is 87 a factor of 37740?
False
Is 27935 a multiple of 151?
True
Is 19 a factor of 15800?
False
Is 37561 a multiple of 66?
False
Does 23 divide 1066?
False
Is 19408 a multiple of 13?
False
Does 4 divide 14344?
True
Is 6 a factor of 64263?
False
Is 123 a multiple of 20?
False
Does 52 divide 84313?
False
Does 56 divide 56654?
False
Does 27 divide 14445?
True
Does 6 divide 2544?
True
Does 108 divide 62532?
True
Is 2131 a multiple of 24?
False
Does 12 divide 1068?
True
Is 52 a factor of 1352?
True
Is 11 a factor of 4246?
True
Is 60 a factor of 15734?
False
Does 42 divide 30282?
True
Does 79 divide 6399?
True
Does 9 divide 5174?
False
Does 3 divide 439?
False
Is 780 a multiple of 39?
True
Is 36519 a multiple of 47?
True
Is 4 a factor of 6553?
False
Does 9 divide 39416?
False
Does 13 divide 5877?
False
Does 66 divide 16632?
True
Is 15 a factor of 1815?
True
Is 21 a factor of 14453?
False
Is 81 a factor of 4373?
False
Does 33 divide 5901?
False
Does 7 divide 13944?
True
Is 5576 a multiple of 136?
True
Does 25 divide 3834?
False
Is 1989 a multiple of 51?
True
Is 2057 a multiple of 20?
False
Is 23280 a multiple of 74?
False
Is 50 a factor of 9123?
False
Is 123 a factor of 1544?
False
Is 4 a factor of 7552?
True
Does 4 divide 128?
True
Does 97 divide 29355?
False
Does 6 divide 757?
False
Is 15 a factor of 75?
True
Is 48118 a multiple of 98?
True
Is 40548 a multiple of 111?
False
Is 6629 a multiple of 7?
True
Does 22 divide 1141?
False
Is 4 a factor of 882?
False
Does 8 divide 1297?
False
Is 10726 a multiple of 31?
True
Is 119 a factor of 21087?
False
Is 9 a factor of 6264?
True
Is 11175 a multiple of 149?
True
Is 3 a factor of 10709?
False
Is 770 a multiple of 58?
False
Is 11 a factor of 7103?
False
Does 109 divide 28356?
False
Is 1365 a multiple of 91?
True
Is 15 a factor of 2561?
False
Is 462 a multiple of 2?
True
Is 5220 a multiple of 87?
True
Is 12 a factor of 7793?
False
Is 1183 a multiple of 13?
True
Is 11 a factor of 156?
False
Is 11 a factor of 221?
False
Is 17 a factor of 3366?
True
Is 650 a multiple of 25?
True
Is 13 a factor of 12116?
True
Is 3 a factor of 3962?
False
Does 116 divide 7888?
True
Is 4680 a multiple of 4?
True
Does 40 divide 14030?
False
Is 13 a factor of 1281?
False
Is 46 a factor of 598?
True
Is 22 a factor of 1433?
False
Does 8 divide 40?
True
Does 10 divide 3220?
True
Is 186 a factor of 3534?
True
Is 43 a factor of 20307?
False
Is 648 a multiple of 24?
True
Does 27 divide 1080?
True
Is 33 a factor of 603?
False
Does 9 divide 1763?
False
Does 46 divide 14582?
True
Is 45953 a multiple of 9?
False
Is 461 a multiple of 11?
False
Is 2546 a multiple of 37?
False
Does 21 divide 756?
True
Is 288 a multiple of 24?
True
Is 26 a factor of 38484?
False
Is 97 a factor of 191?
False
Is 21 a factor of 377?
False
Does 29 divide 11571?
True
Is 69 a factor of 2760?
True
Is 14856 a multiple of 55?
False
Is 12 a factor of 5602?
False
Does 30 divide 660?
True
Does 6 divide 1468?
False
Is 17 a factor of 2484?
False
Does 10 divide 630?
True
Is 41433 a multiple of 10?
False
Is 234 a multiple of 18?
True
Does 11 divide 1738?
True
Does 55 divide 2310?
True
Is 5 a factor of 90?
True
Is 1612 a multiple of 124?
True
Is 5894 a multiple of 2?
True
Is 381 even?
False
Is 2269 a multiple of 30?
False
Does 11 divide 209?
True
Does 33 divide 27654?
True
Is 1385 a multiple of 38?
False
Does 195 divide 49140?
True
Is 8 a factor of 4554?
False
Does 11 divide 4433?
True
Does 23 divide 11115?
False
Is 1076 a multiple of 4?
True
Does 10 divide 534?
False
Is 2 a factor of 4018?
True
Does 6 divide 33446?
False
Does 16 divide 183?
False
Is 97 a multiple of 4?
False
Is 25 a factor of 425?
True
Does 9 divide 73936?
False
Is 720 a multiple of 9?
True
Is 12 a factor of 267?
False
Does 33 divide 5732?
False
Does 17 divide 1519?
False
Is 5 a factor of 3296?
False
Is 8 a factor of 448?
True
Is 4905 a multiple of 15?
True
Is 48 a factor of 2242?
False
Is 2935 even?
False
Does 32 divide 1688?
False
Is 4279 a multiple of 47?
False
Is 3540 a multiple of 4?
True
Is 2071 a multiple of 44?
False
Is 9 a factor of 3883?
False
Is 20 a factor of 8380?
True
Is 2588 a multiple of 17?
False
Does 10 divide 1469?
False
Does 124 divide 5747?
False
Is 170665 a multiple of 202?
False
Does 4 divide 1242?
False
Is 7 a factor of 553?
True
Is 3192 a multiple of 64?
False
Does 12 divide 3057?
False
Is 26 a factor of 119?
False
Does 19 divide 418?
True
Does 76 divide 228?
True
Is 5 a factor of 53080?
True
Does 19 divide 684?
True
Is 40 a factor of 3360?
True
Is 9 a factor of 1089?
True
Does 91 divide 601?
False
Does 16 divide 111174?
False
Is 21 a factor of 7298?
False
Is 25 a factor of 3094?
False
Does 5 divide 83?
False
Is 3964 a multiple of 8?
False
Is 5 a factor of 4160?
True
Is 44 a factor of 1169?
False
Is 478 a multiple of 10?
False
Does 179 divide 52984?
True
Does 6 divide 1714?
False
Is 111 a factor of 4472?
False
Is 75 a factor of 2475?
True
Is 50546 a multiple of 44?
False
Does 165 divide 14915?
False
Is 19802 a multiple of 124?
False
Does 7 divide 2282?
True
Is 65 a factor of 1690?
True
Does 71 divide 116298?
True
Is 11 a factor of 294?
False
Is 13 a factor of 563?
False
Is 36091 a multiple of 86?
False
Does 30 divide 5317?
False
Is 886 a multiple of 22?
False
Does 84 divide 50851?
False
Is 7135 a multiple of 14?
False
Is 34 a factor of 5718?
False
Is 361 a multiple of 2?
False
Is 10 a factor of 2410?
True
Does 19 divide 635?
False
Is 2 a factor of 132?
True
Is 6587 a multiple of 6?
False
Is 3960 a multiple of 8?
True
Does 43 divide 344?
True
Is 1355 a multiple of 3?
False
Does 26 divide 676?
True
Is 4 a factor of 7477?
False
Is 15 a factor of 26475?
True
Is 1244 a multiple of 21?
False
Does 89 divide 2823?
False
Is 66 a factor of 832?
False
Does 35 divide 3500?
True
Is 3146 a multiple of 4?
False
Is 4 a factor of 2368?
True
Is 9 a factor of 324?
True
Is 470 a multiple of 5?
True
Is 82 a factor of 984?
True
Is 21400 a multiple of 12?
False
Does 25 divide 208?
False
Is 30 a factor of 2907?
False
Is 37410 a multiple of 145?
True
Does 4 divide 472?
True
Is 204 a factor of 11628?
True
Is 1197 a multiple of 19?
True
Does 3 divide 15?
True
Is 51 a factor of 1246?
False
Does 333 divide 45968?
False
Is 1152 a multiple of 21?
False
Does 70 divide 32690?
True
Does 10 divide 90?
True
Is 21457 a multiple of 29?
False
Is 82 a factor of 738?
True
Is 32 a factor of 5280?
True
Does 21 divide 4830?
True
Is 12 a factor of 108?
True
Is 14 a factor of 17990?
True
Does 11 divide 1339?
F
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of y.
41
Let a = -5 - -1. Suppose -2*j + 2*r - 26 = -3*j, r - 4 = 0. Let o = a + j. List the prime factors of o.
2, 7
Suppose -12*g + 6 = -10*g. Suppose 12 = g*r - r. What are the prime factors of r?
2, 3
Let v = -1416 - -2811. What are the prime factors of v?
3, 5, 31
Suppose -42*d + 44*d = l + 2907, -2*d - 2*l + 2904 = 0. What are the prime factors of d?
1453
Suppose -5 = -3*f - 14. What are the prime factors of (1/f)/((-7)/294)?
2, 7
Let j = 19 + 39. List the prime factors of j.
2, 29
Suppose 2*t = 3*q + 169 - 38, -5*t + 317 = 3*q. Suppose 5*p - 126 = -4*s, 2*s - 4*s + t = 2*p. What are the prime factors of s?
2, 17
Let k = 4651 + -3159. What are the prime factors of k?
2, 373
Let r = -100 - -108. What are the prime factors of (-20905)/(-105) + r/(-84)?
199
Let a(z) = -15*z**3 - 4*z**2 + 10*z + 25. What are the prime factors of a(-6)?
3061
Let u(m) = 11*m**2 + 1. Let h(v) = v + 5. Let t be h(-8). What are the prime factors of u(t)?
2, 5
Let l be (-164)/(-14) + 4/14. Let r = 490 - 477. Suppose -l*h + r*h = 28. What are the prime factors of h?
2, 7
Let w = 21 - 7. Suppose 299 = 3*z + w. List the prime factors of z.
5, 19
Let c be (2 + (-2 - 0))/3. Suppose x + x - 50 = c. Let j = 43 - x. List the prime factors of j.
2, 3
Suppose 5*p - 594 = 966. Suppose 5*b = -5*g + 810, -3*g + g + b + p = 0. List the prime factors of g.
2, 79
Suppose 7453 + 1763 = 8*w. What are the prime factors of w?
2, 3
Suppose 0*a = -5*o - 3*a + 1736, -2*a = 3*o - 1041. List the prime factors of o.
349
Suppose -2*s - 2*d = 42, s + 1 = 3*d - 16. Let n be (5 + -1)*(-615)/s. Suppose 0 = 6*c - 3*c - n. List the prime factors of c.
41
Suppose -130*k + 124*k + 24 = 0. Let s = 5 + -3. Suppose 0 = -q + k*q - 5*t - 110, t = -s*q + 56. What are the prime factors of q?
2, 3, 5
Let a(x) = 6*x**3 + x**3 + x - 6*x**3 + 7 - x**2 + 0*x**2. List the prime factors of a(4).
59
Suppose 4*a - 5*a = -3*w - 376, 3*a - 1188 = -3*w. What are the prime factors of a?
17, 23
Suppose -2*u - 5*y = 3*u, -2*u + 14 = -5*y. Suppose -3*k - 3 - 3 = 0, -4*k = u*q - 4. What are the prime factors of q?
2, 3
Let x(q) = 73*q**2 - 3*q + 7. List the prime factors of x(2).
293
Let a = -24 + 24. Let j be a + 0 + 2/(-2). What are the prime factors of (180/24)/(j/(-2))?
3, 5
Suppose 114189 = 46*z - 11207. List the prime factors of z.
2, 29, 47
List the prime factors of (54/90)/(1/6935).
3, 19, 73
Let x be -5*(12/5 - 3). Suppose 0 = x*b + o - 340, -o - 2*o - 462 = -4*b. List the prime factors of b.
2, 3, 19
Suppose -5 = 5*a, -3*r - 4*a - 20 = -121. Let m be 14/r + 28/5. Suppose m*b = 3*b + 12. List the prime factors of b.
2
List the prime factors of (-4727)/(-5) - (-69)/115.
2, 11, 43
Suppose -2*s = 3*s. Suppose 4*p - 5*r - 138 = s, 0*r = p - 4*r - 40. List the prime factors of p.
2
Suppose 60 = -n + 11*n. Suppose -n*c + 9*c - 774 = 0. List the prime factors of c.
2, 3, 43
Let c be -3*296*(0 + (-3)/9). Let o = c + -191. List the prime factors of o.
3, 5, 7
Let h = -742 - -2174. What are the prime factors of h?
2, 179
Suppose -o - 27 = -4*n, -5*n + 21 = -n + o. Suppose -n*r + 2*r = 52. Let w = -7 - r. What are the prime factors of w?
2, 3
Suppose 518 = 5*v - 27. Suppose 2*g - 3*n + 7*n - 118 = 0, 0 = 2*g + n - v. Suppose 0 = -3*r - 3*c + 99, -r - c = -4*c - g. List the prime factors of r.
2, 19
Suppose 0 = -7*k + 37 + 12. Suppose -4*z = -k*z + 267. List the prime factors of z.
89
List the prime factors of ((-224)/(-4))/(-8) - -1348.
3, 149
Suppose 111 = -2*c + x, 0 = 5*x - x + 12. Let k be (-1)/(3 - (-174)/c). Suppose -2*u + 5*f = -k - 0, 3*f = u - 10. What are the prime factors of u?
7
Let n = 2261 - 1959. List the prime factors of n.
2, 151
Suppose -3635 = -25*y + 20*y. What are the prime factors of y?
727
Let s(b) be the second derivative of 83*b**3/6 + 9*b**2/2 - 10*b. List the prime factors of s(1).
2, 23
Let y(s) = -s**3 + 32*s**2 + 34*s - 21. What are the prime factors of y(33)?
2, 3
Let w = 35 + -34. What are the prime factors of -1*(-42 + w + 0) + 0?
41
Let k = -1553 + 651. What are the prime factors of (1 + k/(-6))*(-18)/(-12)?
227
What are the prime factors of ((-176)/(-24))/(6/153)?
11, 17
Let c = 2 - -10. Let x(y) = y**3 - 13*y**2 + 7*y + 14. Let v be x(c). Let l = v - -92. List the prime factors of l.
2, 23
Suppose -214*x - 1400 = -219*x. What are the prime factors of x?
2, 5, 7
Let y(t) be the second derivative of t**4/12 - t**3/6 - 9*t**2/2 + t. List the prime factors of y(9).
3, 7
Let v(i) = 0*i + 4 - 21*i**3 + 22*i**3 - i**2 + 8 + 3*i. List the prime factors of v(5).
127
Let z = 18 + -16. Let q be (195/6)/(4/8). Suppose 0 = -2*p - z, 56 + q = 4*s - p. What are the prime factors of s?
2, 3, 5
Suppose 12*m = 10*m - 6. Let r = m + 105. What are the prime factors of r?
2, 3, 17
Suppose -3*h + 9 = 3. Let t(w) = -2*w**3 - w**2 + 3*w + 3. Let y be t(-2). Suppose -h*p = -y - 95. What are the prime factors of p?
2, 13
Let s = -36 + 37. What are the prime factors of (2 + -2 - -3 - -101)/s?
2, 13
Suppose -37 = 5*p - 132. Suppose 4*m - 28 = 4*g, 5*m + 0 = -3*g + p. Suppose -3*c + m*k + 104 = 0, -3*k - 31 = -c + 9. What are the prime factors of c?
2, 7
Let p(w) = w**2 - 21*w + 39. Let t be p(19). List the prime factors of t/(-2)*-4*(-338)/(-4).
13
Let d(p) = 15*p - 15. Let b be d(4). Let o = b + -31. Suppose -11 = -v + o. What are the prime factors of v?
5
Suppose i + 2*m - 236 = 0, 0*m + 9 = -3*m. List the prime factors of i.
2, 11
Suppose -5*d - 29 = -2*r, 5*r - 2*d + 0 = 20. Suppose 0 = -r*v + 91 - 371. What are the prime factors of ((-4)/10)/(4/v)?
2, 7
Let n(f) be the second derivative of f**4/12 + 4*f**3/3 - 9*f. Let y be n(-4). What are the prime factors of (y/(-12))/((-4)/(-6))?
2
Suppose -5*j = -3*j - 12. Let n = 5 - j. What are the prime factors of (0 - -1)/(n/(-22))?
2, 11
List the prime factors of -9*(20/45)/(-2).
2
Let f = -7 + 7. What are the prime factors of 15*(-2 + 6) + f?
2, 3, 5
Let k(f) = 7*f + 1. Let q be k(-13). Let p be (-48)/(-10)*q/(-4). Suppose -5*g = -9*g + p. What are the prime factors of g?
3
Suppose -2*c = -7*j + 11*j - 2340, j = 5*c - 5872. List the prime factors of c.
2, 587
Let a = 41 - 43. What are the prime factors of (243 - -2) + ((-8)/2)/a?
13, 19
Suppose -22*h + 7*h + 2505 = 0. Suppose h = 2*j - 15. What are the prime factors of j?
7, 13
Suppose x = -3*b - 395, -3 - 5 = 4*x. Let c = b - -218. What are the prime factors of c?
3, 29
Let x = 184 + 147. List the prime factors of x.
331
Let a = 21 + -10. Let u(l) = -7*l - 2*l + a*l. What are the prime factors of u(12)?
2, 3
Suppose -5*f + 19396 = -3*q, -9584 = -5*f + q + 9808. List the prime factors of f.
2, 7, 277
Suppose -2*v = -7*v + 10. Suppose 5*b + 5*u = 145, -4*u + 6 + 2 = 0. Suppose i = v*i - b. What are the prime factors of i?
3
Let h(b) = -3 + b**2 - b - 1 - 5 + 4. Let l be h(3). What are the prime factors of 29 - (2 + l)/3?
2, 7
Let b = -26 - -59. Suppose -4 - b = -l. What are the prime factors of l?
37
Let w = -154 + 92. Let n = -39 - w. What are the prime factors of n?
23
Suppose 5*j - 32 = -2*s, j - 2*s - 1 = 3*s. Let r = -1 + 4. List the prime factors of 88/j + (-2)/r.
2, 7
Let r(x) = -x**2 - x. Let p be r(-1). Suppose -4*d = -16, -3*k + p*k + 2*d - 2 = 0. What are the prime factors of 36 - (-9)/(k + 1)?
3, 13
Let c be 30/4 - 9/18. Let w(n) be the first derivative of n**4/4 - 8*n**3/3 + 5*n**2 - 2*n - 6. What are the prime factors of w(c)?
19
Suppose -2*l + 6 = 3*t, -12 = -2*t - 7*l + 3*l. Suppose t = -2*q + 77 + 67. Suppose 0 = -4*g + 3*y + q, 4 - 22 = -g - y. List the prime factors of g.
2, 3
Let c be -1 + -2*(-2)/1. Suppose -c*l - 54 = -v, 2*v - 210 = -3*v + 3*l. Let p = v + 13. List the prime factors of p.
2, 13
Let h be (1 - (1 + 0))/(-3). Suppose h*p = 2*p - 106. What are the prime factors of p?
53
Let k = 1686 - 1165. List the prime factors of k.
521
Let q(z) = 42*z**2 - 21*z - 10. List the prime factors of q(-5).
5, 229
Let b be (-3)/(-9) + (-1)/(3/(-1469)). Suppose 0 = 5*f - 395 - b. What are the prime factors of f?
3, 59
Let d(p) = -40*p. What are the prime factors of d(-5)?
2, 5
Let i(k) = -7*k + 7. Let r = 13 - 21. Let s be i(r). Let h = s + -36. List the prime factors of h.
3
Suppose 4*w = -2*x + 22518, -4*w - x = -20624 - 1897. What are the prime factors of w?
3, 1877
Suppose -4*q + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate the remainder when 21107740 is divided by 112.
108
Calculate the remainder when 47193236 is divided by 13.
12
Calculate the remainder when 1894296 is divided by 946269.
1758
What is the remainder when 16703 is divided by 605?
368
Calculate the remainder when 397850 is divided by 585.
50
Calculate the remainder when 27468294 is divided by 1379.
1372
What is the remainder when 382037769 is divided by 2890?
2889
What is the remainder when 3694330 is divided by 51?
43
Calculate the remainder when 107672 is divided by 1015.
82
What is the remainder when 35999 is divided by 7?
5
Calculate the remainder when 5551446 is divided by 1850480.
6
Calculate the remainder when 43899 is divided by 1979.
361
What is the remainder when 276978 is divided by 2396?
1438
What is the remainder when 309752 is divided by 44225?
177
What is the remainder when 58006 is divided by 57305?
701
What is the remainder when 445895 is divided by 2753?
2662
What is the remainder when 3519175 is divided by 879792?
7
Calculate the remainder when 12021094 is divided by 2542.
2518
Calculate the remainder when 11446428 is divided by 3422.
3260
Calculate the remainder when 21011116 is divided by 7003662.
130
What is the remainder when 1674050 is divided by 209253?
26
Calculate the remainder when 3496812 is divided by 62.
12
Calculate the remainder when 1019440 is divided by 10125.
6940
Calculate the remainder when 1241901 is divided by 245.
241
Calculate the remainder when 218745 is divided by 1968.
297
What is the remainder when 3330 is divided by 1915?
1415
Calculate the remainder when 6059235 is divided by 3637.
3630
What is the remainder when 39249740 is divided by 2180541?
2
What is the remainder when 35879 is divided by 25908?
9971
What is the remainder when 297657986 is divided by 114?
110
Calculate the remainder when 136772 is divided by 135917.
855
Calculate the remainder when 2314726 is divided by 2736.
70
Calculate the remainder when 53210857 is divided by 9536.
9513
What is the remainder when 11865921 is divided by 101418?
15
Calculate the remainder when 21627643 is divided by 292.
79
Calculate the remainder when 129709 is divided by 4054.
4035
What is the remainder when 29136 is divided by 14060?
1016
Calculate the remainder when 246755 is divided by 290.
255
Calculate the remainder when 14155 is divided by 13539.
616
Calculate the remainder when 5381767 is divided by 97849.
72
What is the remainder when 39006951 is divided by 2572?
2571
What is the remainder when 51658 is divided by 6247?
1682
Calculate the remainder when 7314464 is divided by 7314460.
4
Calculate the remainder when 940402 is divided by 217.
141
Calculate the remainder when 85132 is divided by 4431.
943
Calculate the remainder when 4144755 is divided by 1475.
5
Calculate the remainder when 1455798 is divided by 2226.
2220
Calculate the remainder when 111601 is divided by 35645.
4666
Calculate the remainder when 769520 is divided by 769211.
309
Calculate the remainder when 3838957 is divided by 17939.
11
What is the remainder when 50872 is divided by 163?
16
What is the remainder when 553860 is divided by 21?
6
Calculate the remainder when 623811742 is divided by 72.
70
Calculate the remainder when 2492558 is divided by 379.
254
Calculate the remainder when 7711112 is divided by 208408.
16
What is the remainder when 7698 is divided by 3691?
316
Calculate the remainder when 98561287 is divided by 443.
432
Calculate the remainder when 5733244 is divided by 1906.
1902
Calculate the remainder when 63707 is divided by 283.
32
What is the remainder when 78082 is divided by 47?
15
Calculate the remainder when 8995051 is divided by 178.
177
What is the remainder when 1090443 is divided by 439?
406
What is the remainder when 1792996 is divided by 18664?
1252
Calculate the remainder when 30277255 is divided by 272768.
7
Calculate the remainder when 1942882 is divided by 394.
68
What is the remainder when 233605 is divided by 17751?
2842
Calculate the remainder when 18712806 is divided by 4678197.
18
What is the remainder when 146130 is divided by 18250?
130
What is the remainder when 690744 is divided by 1041?
561
What is the remainder when 1145128 is divided by 6935?
853
Calculate the remainder when 987459482 is divided by 53.
52
What is the remainder when 3163319 is divided by 489?
467
What is the remainder when 596725 is divided by 3573?
34
What is the remainder when 1628963530 is divided by 7?
5
What is the remainder when 1114728 is divided by 95?
93
Calculate the remainder when 471897 is divided by 2785.
1232
Calculate the remainder when 2850439 is divided by 126.
67
What is the remainder when 1147801 is divided by 573899?
3
Calculate the remainder when 145267108 is divided by 4909.
4889
Calculate the remainder when 17582240 is divided by 3795.
5
Calculate the remainder when 6440370 is divided by 1910.
1760
What is the remainder when 11074710 is divided by 561?
9
Calculate the remainder when 8101002 is divided by 329.
35
Calculate the remainder when 22021465 is divided by 1195.
5
What is the remainder when 1730845 is divided by 432699?
49
Calculate the remainder when 2832229 is divided by 28605.
334
What is the remainder when 749136 is divided by 2025?
1911
What is the remainder when 196502 is divided by 1097?
139
Calculate the remainder when 1082879 is divided by 541402.
75
Calculate the remainder when 5458455 is divided by 61.
53
What is the remainder when 82577 is divided by 40664?
1249
What is the remainder when 134433 is divided by 7898?
167
Calculate the remainder when 178237 is divided by 9899.
55
Calculate the remainder when 18174852 is divided by 18174848.
4
Calculate the remainder when 2735352 is divided by 2777.
7
What is the remainder when 14340518 is divided by 11?
5
What is the remainder when 957051 is divided by 11815?
36
Calculate the remainder when 344973 is divided by 4480.
13
What is the remainder when 156452239 is divided by 6004?
7
What is the remainder when 2034938 is divided by 78?
74
Calculate the remainder when 23973 is divided by 3414.
75
Calculate the remainder when 2302825 is divided by 943.
19
Calculate the remainder when 180595 is divided by 16911.
11485
Calculate the remainder when 584045 is divided by 97329.
71
What is the remainder when 5027153 is divided by 30?
23
What is the remainder when 269803 is divided by 19927?
10752
What is the remainder when 13134 is divided by 11482?
1652
What is the remainder when 228982 is divided by 45791?
27
Calculate the remainder when 730900 is divided by 75.
25
Calculate the remainder when 59752358 is divided by 79.
76
Calculate the remainder when 15328648 is divided by 3836.
3828
What is the remainder when 14798926 is divided by 2959780?
26
Calculate the remainder when 76572 is divided by 12654.
648
Calculate the remainder when 9841515 is divided by 383.
330
Calculate the remainder when 2052103 is divided by 73.
0
What is the remainder when 73389247 is divided by 41?
26
Calculate the remainder when 49028 is divided by 44.
12
Calculate the remainder when 67997884 is divided by 224.
220
What is the remainder when 3155655 is divided by 90?
75
What is the remainder when 2803580 is divided by 1401790?
0
Calculate the remainder when 8377413 is divided by 2792467.
12
Calculate the remainder when 1822542 is divided by 30.
12
Calculate the remainder when 1312432 is divided by 12114.
4120
Calculate the remainder when 27609 is divided by 10841.
5927
What is the remainder when 187428 is divided by 21?
3
What is the remainder when 30509 is divided by 15136?
237
What is the remainder when 2966241 is divided by 1025?
916
What is the remainder when 154983 is divided by 1575?
633
Calculate the remainder when 57132 is divided by 1386.
306
Calculate the remainder when 1735236558 is divided by 178.
176
Calculate the remainder when 12523893 is divided by 341.
327
Calculate the remainder when 56060622 is divided by 562.
560
Calculate the remainder when 57783704 is divided by 28891852.
0
What is the remainder when 68969319 is divided by 116?
11
Calculate the remainder when 9284929 is divided by 2353.
2344
What is the remainder when 505782 is divided by 82?
6
Calculate the remainder when 208583 is divided by 8340.
83
Calculate the remainder when 166766 is
|
{
"pile_set_name": "DM Mathematics"
}
|
rrhkwrrkjjj.
9/85
Two letters picked without replacement from {k: 1, g: 2, q: 1, n: 4, p: 1}. Give prob of picking 1 g and 1 q.
1/18
What is prob of picking 2 k, 1 t, and 1 o when four letters picked without replacement from momoototojjkjkmosjoo?
16/4845
Two letters picked without replacement from {e: 3, g: 3, y: 2}. Give prob of picking 2 y.
1/28
What is prob of picking 1 b, 2 q, and 1 r when four letters picked without replacement from {q: 2, o: 1, b: 1, y: 1, r: 2}?
2/35
Two letters picked without replacement from nlbbbbblnnn. Give prob of picking 2 l.
1/55
What is prob of picking 2 w and 2 b when four letters picked without replacement from wbwwwbw?
2/7
Calculate prob of picking 2 y and 2 n when four letters picked without replacement from {y: 4, n: 3}.
18/35
What is prob of picking 1 o and 1 j when two letters picked without replacement from {i: 3, j: 1, n: 3, l: 2, o: 1, e: 1}?
1/55
What is prob of picking 1 k and 2 m when three letters picked without replacement from {v: 5, k: 1, o: 1, m: 6, n: 1}?
15/364
What is prob of picking 1 r and 1 a when two letters picked without replacement from {r: 3, a: 1}?
1/2
Calculate prob of picking 1 r and 1 n when two letters picked without replacement from gghnhrhnh.
1/18
What is prob of picking 2 r and 2 z when four letters picked without replacement from {z: 1, r: 1, h: 8, p: 9}?
0
Three letters picked without replacement from lsaeadldsddkdad. What is prob of picking 1 e and 2 d?
3/91
What is prob of picking 1 x and 1 z when two letters picked without replacement from wlslxzxdd?
1/18
What is prob of picking 1 t, 1 c, and 1 n when three letters picked without replacement from yynyyytnyycn?
3/220
Three letters picked without replacement from bbndnnb. What is prob of picking 1 d and 2 b?
3/35
Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {o: 3, y: 3, v: 2, j: 3, b: 3}.
6/91
Two letters picked without replacement from {g: 7, v: 2, o: 1, s: 4, h: 3}. Give prob of picking 2 g.
21/136
What is prob of picking 1 z, 1 f, and 1 r when three letters picked without replacement from {t: 2, b: 3, r: 1, h: 1, z: 3, f: 1}?
1/55
Three letters picked without replacement from mlllllllllllllllllll. Give prob of picking 1 m and 2 l.
3/20
Calculate prob of picking 2 g, 1 h, and 1 j when four letters picked without replacement from {e: 1, h: 1, c: 2, j: 2, g: 2}.
1/35
Calculate prob of picking 2 i when two letters picked without replacement from {n: 5, y: 4, e: 4, i: 2}.
1/105
Three letters picked without replacement from {y: 3, x: 1, b: 3}. Give prob of picking 3 b.
1/35
Two letters picked without replacement from jjjeejjjjjjjjjjejej. What is prob of picking 1 e and 1 j?
20/57
Four letters picked without replacement from {z: 2, y: 3, s: 1, h: 3, r: 1}. What is prob of picking 1 y, 1 r, and 2 z?
1/70
What is prob of picking 1 z and 3 k when four letters picked without replacement from kkkzkkzzzxzzkkkkk?
36/119
What is prob of picking 1 k and 1 z when two letters picked without replacement from zzkzkzkzzz?
7/15
Two letters picked without replacement from {p: 16, t: 4}. Give prob of picking 2 t.
3/95
Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bbfbfbbbb.
7/18
Three letters picked without replacement from {s: 4, p: 10, d: 5, n: 1}. Give prob of picking 1 s and 2 p.
3/19
Calculate prob of picking 2 t when two letters picked without replacement from etteett.
2/7
What is prob of picking 2 m and 1 j when three letters picked without replacement from {j: 4, m: 3}?
12/35
Two letters picked without replacement from knllkllkllklwklllll. What is prob of picking 1 n and 1 k?
5/171
Two letters picked without replacement from aajajajcjjcjjj. What is prob of picking 1 c and 1 j?
16/91
Two letters picked without replacement from uuuskdkfsuusfstuff. What is prob of picking 1 s and 1 u?
8/51
What is prob of picking 2 p, 1 s, and 1 t when four letters picked without replacement from tscspcsrccspssscs?
2/595
Two letters picked without replacement from hmmmhccchhdsh. What is prob of picking 1 d and 1 c?
1/26
Calculate prob of picking 4 c when four letters picked without replacement from cgcg.
0
Three letters picked without replacement from {u: 4, t: 7}. What is prob of picking 1 u and 2 t?
28/55
Calculate prob of picking 4 x when four letters picked without replacement from {a: 2, x: 6}.
3/14
Calculate prob of picking 4 y when four letters picked without replacement from {y: 6, m: 2}.
3/14
Three letters picked without replacement from xzfstssst. Give prob of picking 1 f, 1 x, and 1 t.
1/42
Four letters picked without replacement from {l: 3, p: 1, y: 12}. What is prob of picking 4 y?
99/364
Four letters picked without replacement from {q: 4, r: 2, v: 3}. Give prob of picking 3 q and 1 v.
2/21
Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {w: 1, c: 1, e: 2, a: 2, f: 1, q: 1}.
1/14
Two letters picked without replacement from {k: 2, v: 4, u: 1, d: 3}. What is prob of picking 2 v?
2/15
Calculate prob of picking 1 e and 1 v when two letters picked without replacement from eerveervm.
2/9
Three letters picked without replacement from {c: 2, k: 2, z: 2, r: 3}. What is prob of picking 2 z and 1 k?
1/42
Calculate prob of picking 2 k and 1 w when three letters picked without replacement from kkkqqqwq.
3/56
Three letters picked without replacement from lrsjsrjksj. Give prob of picking 1 k and 2 s.
1/40
What is prob of picking 4 p when four letters picked without replacement from pppppppppp?
1
Two letters picked without replacement from zazpppppzpwpzqwpzwz. Give prob of picking 1 w and 1 q.
1/57
Three letters picked without replacement from vvptpzzdtnzvvznztz. What is prob of picking 1 p and 2 n?
1/408
What is prob of picking 2 f when two letters picked without replacement from {x: 3, z: 1, f: 4, p: 6}?
6/91
Four letters picked without replacement from ccouomzz. What is prob of picking 2 o and 2 z?
1/70
Calculate prob of picking 3 l when three letters picked without replacement from lmll.
1/4
Two letters picked without replacement from xjx. What is prob of picking 1 j and 1 x?
2/3
Two letters picked without replacement from {v: 1, c: 2}. What is prob of picking 1 c and 1 v?
2/3
Four letters picked without replacement from hffhfhfhhf. Give prob of picking 4 f.
1/42
Calculate prob of picking 3 m when three letters picked without replacement from {m: 4}.
1
Four letters picked without replacement from smmjmmmjb. What is prob of picking 1 s, 1 m, and 2 b?
0
Calculate prob of picking 3 a when three letters picked without replacement from aaaaaaaaaaaaaiaaaaaa.
17/20
What is prob of picking 1 c and 1 m when two letters picked without replacement from ddcddmdcjjdcqjdmjj?
2/51
Two letters picked without replacement from {k: 7, b: 2}. What is prob of picking 2 k?
7/12
Two letters picked without replacement from {y: 5, d: 2, h: 6, x: 2, t: 3, u: 1}. What is prob of picking 2 t?
1/57
Two letters picked without replacement from {z: 8, l: 3}. What is prob of picking 1 l and 1 z?
24/55
Calculate prob of picking 1 k, 1 t, and 1 z when three letters picked without replacement from utzkkzet.
1/7
Calculate prob of picking 1 s, 1 t, and 1 d when three letters picked without replacement from {s: 6, j: 1, t: 1, d: 1}.
1/14
What is prob of picking 1 b and 2 u when three letters picked without replacement from {u: 4, p: 4, b: 2, t: 3, f: 3}?
3/140
Four letters picked without replacement from aagaaggagagg. What is prob of picking 3 a and 1 g?
8/33
What is prob of picking 1 r, 1 g, and 1 q when three letters picked without replacement from {k: 4, r: 1, q: 2, g: 2, e: 2, w: 1}?
1/55
What is prob of picking 1 z and 1 k when two letters picked without replacement from zzkkzkz?
4/7
Three letters picked without replacement from mrmejcrf. Give prob of picking 1 e, 1 j, and 1 r.
1/28
Two letters picked without replacement from {q: 4}. What is prob of picking 2 q?
1
Three letters picked without replacement from nnnnnneedn. Give prob of picking 1 d and 2 n.
7/40
Three letters picked without replacement from noooonn. What is prob of picking 3 o?
4/35
Three letters picked without replacement from {h: 7, a: 7}. Give prob of picking 3 h.
5/52
Four letters picked without
|
{
"pile_set_name": "DM Mathematics"
}
|
-230 - x. Let k = 66 + n. Which is bigger: k or 0.3?
0.3
Let z be (-36)/(-21)*14/(-10). Let b be (-10 - (-29 + 18))*-3. Are b and z equal?
False
Let p(a) = -8*a + 56 - 134 + 46. Let z be p(-9). Is z at least 40?
True
Let z = 18969 + -18988. Which is smaller: -575/29 or z?
-575/29
Let n(z) = -126*z + 6612. Let t be n(93). Which is greater: -5105 or t?
-5105
Suppose 2*c = -t + 5, 4*c + 30 + 5 = 3*t. Let b be t/(-15) + (-6)/(-10). Let a = -0.8 + 0.8. Is a at most as big as b?
True
Let a = 1383374/79 - 17512. Are -1 and a nonequal?
True
Suppose 0 = -3*r + 2*f + 35, 4*r - 4*f - 50 = 2. Suppose -10*m - r = -19. Is -1/8 at most m?
True
Let q = -1.7 + 1.601. Let r = q - -53.099. Let o = 48 - r. Which is bigger: 1/2 or o?
1/2
Let t be (-3 - -17)*20/5. Which is greater: t or 100?
100
Suppose 2*n = -5*z - 69, 4*z + 35 = -4*n - 25. Let j(b) = 4*b + 56. Let c be j(z). Suppose -k = 4*t, -3*t + t = -c*k. Which is smaller: t or -1/37?
-1/37
Let v = -101 - -100.7. Suppose -2*s + 5*d + 11 = 0, 5*d + 39 = -14*s + 12*s. Which is bigger: v or s?
v
Let c = 166.234 + -166. Let x = -0.05 + c. Let r = -0.106 - x. Which is greater: r or -1?
r
Suppose 5*h + 49 = 19. Let j be -1*((0 - h) + -2). Let q = j + 2. Which is smaller: -1 or q?
q
Let i(z) = z**3 - 14*z**2 + 11*z + 56. Let r be i(13). Let f(c) = -c**3 + 5*c**2 + 4*c - 1. Let x be f(4). Which is smaller: x or r?
r
Let t = -64852/3 + 449335/21. Let i = 131 - 350. Let h = t - i. Is 0 less than h?
False
Let r(y) = y + 4. Let q be r(-10). Let x be q/7*14/(-4). Do 2 and x have the same value?
False
Let v = 4350 + -13052/3. Which is smaller: 5179 or v?
v
Let n be 1365/702*(-4)/(-749)*-3. Is 1 equal to n?
False
Suppose 3*y - 2*u + 4*u - 5 = 0, -u + 4 = 3*y. Let k = 166 + -171. Let s be 4/(-30)*k/120*-20. Is y <= s?
False
Suppose 4*j = -0*j - d - 1968, j - 19*d = -492. Which is greater: j or 5?
5
Let x be ((-36)/21)/(654966/567). Is 1 greater than x?
True
Let n = 10 + -11. Let f be (135/(-54))/((-1)/2). Suppose -4*b - 60 = 4*v, f*b + 44 + 14 = -4*v. Which is greater: n or v?
n
Let t = 2128/2475 - -22895189/17325. Let j = -1322 + t. Let w = 1/35 + j. Do -4 and w have different values?
True
Let p(j) = 528*j - 5809. Let g be p(11). Let t be 2782/(-13860) + (-1)/(-5). Which is smaller: t or g?
g
Let g = -0.09 + 0.048. Let q = 1035 - 1043.958. Let s = q + g. Do 2 and s have different values?
True
Let y(t) = 212*t**2 + t - 3. Let c be y(1). Suppose 4*k - 9*k = -c. Is k smaller than 43?
True
Suppose -96*g + 90*g - 18 = 0. Let a be ((-24)/(-45) + -2)/(g/70). Which is smaller: a or 34?
34
Let y be 20/8 - (-433)/(-2). Let x = 213 + y. Let c = 2 - 2.1. Is c > x?
True
Let k = -340.2 + -77.8. Let p = k + 417. Which is smaller: 14/11 or p?
p
Let f = -6949/4408 + -25/232. Let d = -19552 - -19550. Is d at most f?
True
Let d = -3 - -2.8. Let z = 5.05 - 3.58. Let h = z + -1.5. Which is smaller: d or h?
d
Let f(m) = -3 + 2 + 268*m**3 + 2*m - 199*m**3. Let w be f(1). Let g = 516/7 - w. Which is bigger: 4 or g?
4
Let t = 371 + -365. Suppose 4*s = -3*o - o + 16, s - o = t. Which is bigger: s or 4?
s
Suppose -11*j - 2114 - 1851 - 6496 = 0. Is -952 >= j?
False
Let u = 1/29454 - -29343547/14727. Is 1992 > u?
False
Let u = -8493 + 8466. Is u >= -72?
True
Let q be -5*1 + 253/23. Suppose 3*c - q = 4*d, -d = 5*c - 8 - 2. Suppose -c*p = o + 41, 19 = o - 5*p + 46. Does -38 = o?
False
Let r be 81/108*(28/(-12) - -2). Is r at least as big as 129?
False
Suppose 0 = -12*v - 2370 - 1566. Is -329 > v?
False
Let n be 3/12 - -3*(-303)/(-12). Suppose -4*r - 80 = -4*h - r, -2*r - n = -4*h. Is 1 > h?
False
Suppose 40 = 201*a - 209*a. Let k be (5976/2985 + -2)*a. Is k > 0?
False
Let p = -194191/8 - -24506. Let s = p + -232. Which is greater: 0 or s?
s
Let z = -120/391 + -248707/1173. Is -213 equal to z?
False
Let q = 267/52 - 119/208. Let r = q - 3691/816. Is r < 0?
False
Let r = 54 - 61. Let v be (-2 - 121/(-77)) + (-675)/r. Is 97 <= v?
False
Let k(d) = d**3 + 13*d**2 - 18. Suppose 2*g - 3*g + 3*r - 22 = 0, -5*g = -5*r + 80. Let b be k(g). Let y(q) = -39*q + 138. Let p be y(4). Is p greater than b?
False
Let b = -68 + 140. Suppose -5*y - b - 8 = 0. Let l = 13595 + -13610. Which is smaller: y or l?
y
Let n = 4555 + -5559. Which is smaller: n or -1003?
n
Suppose -77*t = -118 + 2505. Is t not equal to -43?
True
Let l be (-4)/14 - (-976)/(-14). Let j be 2/9 + l/180. Let v = -7261 + 7261. Does v = j?
False
Let s = -43 - -43. Suppose 4*j + 54 = 58. Let z be (1995/(-20))/(-19) - (4 - j). Is z greater than or equal to s?
True
Suppose -125*v - 2209314 = -86*v + 138*v. Is v at most as big as -12484?
False
Let c be ((-504)/60 - (-14)/10)*2. Which is smaller: 504 or c?
c
Let z(r) = -9*r. Let g be z(1). Let u(t) = -8*t - 82. Let x be u(g). Is x smaller than -5?
True
Let i = -10713 + 7372. Which is smaller: -3342 or i?
-3342
Let u = -0.23897 - 2.76103. Is u not equal to -1956?
True
Let g(i) = -10*i + 164. Let p be g(16). Suppose 60 = 2*q - m - 333, p*q - 791 = m. Which is smaller: q or 200?
q
Let n be (-718)/32 - (-637)/49. Which is smaller: -8 or n?
n
Let t = -150.39 - 3.61. Let r = t - -154.081. Let v = 0.219 + r. Which is bigger: v or 0?
v
Let z = -0.4 + -0.6. Let t = z - -2. Let k = 2.882 + -0.882. Is t greater than k?
False
Let a(n) = n**2 + 17*n + 28. Let l be a(-21). Suppose d = 3*r + l, 4*d - 6*r + 10*r = 528. Is d <= 126?
False
Let j = -1928 + 1921. Is j at most 246?
True
Suppose -8247 = 3*n + 4*z, -75*n = -78*n - z - 8238. Is n at least as big as -2743?
False
Let v be (-7)/(-14) - (-267)/(-6). Let c = 9 + v. Let l be ((-10)/c)/((-3)/(-12)). Which is smaller: l or 2?
l
Let t = -173/5 - -35. Let j = 5.34 - -19.61. Let k = j - -2.05. Which is greater: t or k?
k
Let v = 35.5 - -127.5. Let s = v - 163. Are -1.44 and s non-equal?
True
Let x be -5 - (-13 + (-221655)/(-27706)). Is 1 not equal to x?
True
Let r be 60/(-200)*475/13680. Suppose t + 5 = 6*t. Is r bigger than t?
False
Suppose 0 = 5*w + 5*c - 35, 4*w + 26 = 5*c. Which is smaller: 27/481 or w?
27/481
Let t = -57 - -61. Suppose 0 = 8*p - 36 - 52. Suppose -9*i = -p*i + 6. Is t smaller than i?
False
Let f(n) = -n + 1. Let v be f(-5). Suppose 0 = -5*z + 2*d + 4, -v*z + 5*d = -z - 10. Is z at most as big as 3/71?
True
Suppose 5*w = -4*c + 17, 5*c = -0*c - 2*w + 17. Suppose -3*o + 6 = -c*p - 24, 30 = -2*p - 3*o. Are -13 and p equal?
False
Let r = -446.85 - 120.15. Is 2 not equal to r?
True
Let a = -167.6 + 168.6. Is a > -287?
True
Let u be ((-4)/88)/((-12753)/4874). Let k be (-135)/(-1890) - (-3611)/(-50358). Let y = k + u. Which is smaller: y or 1?
y
Let z(r) = 10*r**2 - 4*r - 5. Let j be z(-6). Let h be (-11 - -10)*(-14 + -365). Does h = j?
True
Let p be (-8)/(-10)*(-150)/240*0. Which is smaller: p or -7/3466?
-7/3466
Let v(k) = -2*k - 12. Let r be v(-2). Let a be (-17)/136 - 601/r. Which is greater: a or 76?
76
Suppose -2*m = -5*a + 86, 49*m + a = 44*m - 188. Are m and -9/2 unequal?
True
Let v be (-2 + 724/14)*(-14)/(-1). Let l = -2691/4 + v. Suppose 3*p + p = 5*b - 115, -3*b = -2*p - 69. Which is smaller: l or b?
b
Let b = 152 - 215. Let l = 1645/9 + -183. Which is smaller: l or b?
b
Let n = -70 - -66. Let j = n + 24. Is j bigger than -0.3?
True
Let f(l) = l**3 - 127*l**2 + 127*l - 435. Let n be f(126). Is n at most as big as -313?
False
Let y = 1457 - 1456. Is -104 less than y?
True
Suppose 46966 = 18*f + 2056. Is 2494 at most f?
True
Suppose 2*r = -5*y + 22, -265*r - 9 = -262*r - 3*y. Which is smaller: -50/117 or r?
-50/117
Let k be (-20)/(-1170)*603*(14 + -1). Which is smaller: k or 121?
121
Let l be (2/(-3))/(18/(-27)). Let k be (0 - -3*l)/((-2)/6). Let u be (8 - (0 - -1))*-1. Is k equal to u?
False
Let s = 2158 - 2164. Let d be ((-93)/30)/((-2)/(-5)) + 2. Is d >= s?
True
Let c(u) = u**2 + 8*u - 88. Let s be c(-14). Let t(y) = y**2 + 2*y - 8. Let z be t(s). Which is bigger: -1 or z?
z
Let y(c) = c**3 - 46*c**2 + 89*c - 42. Let z be y(44). Suppose 4*u = -5*a + z*a, 3*a = u. Is 2/893 at most a?
False
Let q be 1*(-6 + 150/25). Let c = 34 - 131/4. Is c less than q?
False
Let w = -16941 + 15854. Is w equal to -1090?
False
Suppose -529 = 3*b - 5*v, 160*b - 156*b - v = -694. Is b bigger than -205?
True
Let z be ((-40)/90)/((10/9)/(-5)). Let d be z/14*(35/(-5) + 9). Which is smaller: -2 or d?
-2
Let n(z) = 25*z**3 + z
|
{
"pile_set_name": "DM Mathematics"
}
|
5*u**3 - 15*u**2/2 - 20*u - 15/2.
5*(u - 3)*(u + 1)*(2*u + 1)/2
Factor -3*p**2/7 - 1230*p/7 - 696.
-3*(p + 4)*(p + 406)/7
Factor -2*a**3/7 - 22*a**2/7 - 20*a/7.
-2*a*(a + 1)*(a + 10)/7
Factor -o**4 + 60*o**3 + o**2 - 60*o.
-o*(o - 60)*(o - 1)*(o + 1)
What is h in 4*h**2 - 56*h - 128 = 0?
-2, 16
Factor i**3 - 14*i**2 - 49*i - 34.
(i - 17)*(i + 1)*(i + 2)
Factor -4*q**3 - 292*q**2 - 5180*q + 5476.
-4*(q - 1)*(q + 37)**2
Factor 2*d**2/7 - 32/7.
2*(d - 4)*(d + 4)/7
Factor 3*p**5/2 + 12*p**4 + 33*p**3 + 36*p**2 + 27*p/2.
3*p*(p + 1)**2*(p + 3)**2/2
Find t such that 7*t**4/5 - 234*t**3/5 + 92*t**2/5 + 234*t/5 - 99/5 = 0.
-1, 3/7, 1, 33
Solve g**3/9 - 298*g**2/3 + 595*g/3 - 892/9 = 0.
1, 892
Determine d, given that 4*d**2 - 1200*d - 1204 = 0.
-1, 301
Determine q, given that 100*q**5 - 380*q**4 - 744*q**3 + 752*q**2 - 160*q = 0.
-2, 0, 2/5, 5
Factor 3*o**3/4 - 999*o**2/4 + 1989*o/4 - 993/4.
3*(o - 331)*(o - 1)**2/4
Determine l so that 4*l**3 - 208*l - 384 = 0.
-6, -2, 8
Let 2*d**4 - 10*d**3 + 2*d**2 + 42*d - 36 = 0. What is d?
-2, 1, 3
Factor p**4 - 2*p**2 + 1.
(p - 1)**2*(p + 1)**2
Suppose 3*s**5/4 - 21*s**4/4 + 45*s**3/4 - 39*s**2/4 + 3*s = 0. Calculate s.
0, 1, 4
Factor -g**3/2 - 40*g**2 + 163*g/2 - 41.
-(g - 1)**2*(g + 82)/2
Let -2*n**5/9 + 4*n**3/3 + 16*n**2/9 + 2*n/3 = 0. Calculate n.
-1, 0, 3
Suppose -2*b**2 + 296*b = 0. Calculate b.
0, 148
Solve i**4 + 5*i**3 + 3*i**2 - 5*i - 4 = 0.
-4, -1, 1
Find v, given that v**2 - 27*v - 28 = 0.
-1, 28
Solve 4*k**5 - 124*k**4 + 1156*k**3 - 3364*k**2 + 3736*k - 1408 = 0 for k.
1, 2, 11, 16
Determine y so that 3*y**4 - 212*y**3 + 4640*y**2 - 30000*y + 18000 = 0.
2/3, 10, 30
Solve 3*j**2 - 126*j + 123 = 0 for j.
1, 41
Determine s so that 3*s**4/7 + 30*s**3/7 - 3*s**2/7 - 246*s/7 + 216/7 = 0.
-9, -4, 1, 2
Determine g, given that 10*g**5 - 152*g**4/3 + 26*g**3 + 188*g**2/3 + 16*g = 0.
-3/5, -1/3, 0, 2, 4
Find w such that w**2/2 - 4*w - 24 = 0.
-4, 12
Solve -3*c**3/4 - 15*c**2/4 + 6*c + 9 = 0 for c.
-6, -1, 2
Factor -2*c**3/7 + 22*c**2/7 - 36*c/7.
-2*c*(c - 9)*(c - 2)/7
Solve -x**5/8 + 19*x**4/8 - 27*x**3/2 + 45*x**2/2 = 0.
0, 3, 6, 10
Let -5*s**4 + 30*s**2 - 40*s + 15 = 0. What is s?
-3, 1
Suppose -14*z**5/3 - 74*z**4/3 + 176*z**3/3 + 560*z**2/3 - 288*z - 96 = 0. What is z?
-6, -3, -2/7, 2
Factor -f**2/3 + 42*f + 127/3.
-(f - 127)*(f + 1)/3
Suppose -2*r**4/5 + 4*r**3/5 + 18*r**2/5 - 4*r/5 - 16/5 = 0. What is r?
-2, -1, 1, 4
Let 36*r**5 + 24*r**4 - 140*r**3 - 96*r**2 - 16*r = 0. What is r?
-2, -1/3, 0, 2
Factor -25*a**4 + 49*a**3 + 102*a**2 - 196*a - 8.
-(a - 2)**2*(a + 2)*(25*a + 1)
Suppose -l**3/4 - 5*l**2 - 17*l/4 + 19/2 = 0. What is l?
-19, -2, 1
Let -4*x**2 - 20144*x/3 - 13424/3 = 0. What is x?
-1678, -2/3
Solve -2*a**5/3 - 20*a**4 - 616*a**3/3 - 2380*a**2/3 - 594*a + 4840/3 = 0.
-11, -5, -4, 1
Determine o so that 21*o**4 - 100*o**3 - 38*o**2 + 68*o - 15 = 0.
-1, 1/3, 3/7, 5
Factor 2*n**5 + 78*n**4.
2*n**4*(n + 39)
Factor 138675*s**2 - 5160*s + 48.
3*(215*s - 4)**2
Suppose r**2/4 - 3*r/2 = 0. What is r?
0, 6
Solve 4*o**3 - 56*o**2 + 28*o + 312 = 0 for o.
-2, 3, 13
Find i such that -171500*i**3 - 58800*i**2 - 6720*i - 256 = 0.
-4/35
Factor -3*o**3 - 37*o**2 - 45*o - 11.
-(o + 1)*(o + 11)*(3*o + 1)
Let -l**5/5 - 9*l**4/5 - l**3 + 29*l**2/5 + 42*l/5 + 16/5 = 0. What is l?
-8, -1, 2
Suppose -2*y**3 + 276*y**2 - 12696*y + 194672 = 0. What is y?
46
Find b, given that 2*b**4/19 + 26*b**3/19 + 22*b**2/19 - 26*b/19 - 24/19 = 0.
-12, -1, 1
Let 9*h**5 + 24*h**4 - 33*h**3 - 84*h**2 - 36*h = 0. Calculate h.
-3, -1, -2/3, 0, 2
Determine b so that -2*b**4/7 + 34*b**3/7 - 136*b**2/7 + 200*b/7 - 96/7 = 0.
1, 2, 12
Find j such that 20*j**4 - 32*j**3 - 36*j**2 + 32*j + 16 = 0.
-1, -2/5, 1, 2
Find o such that o**3/6 - 12*o**2 - 153*o/2 - 117 = 0.
-3, 78
Suppose k**4 - 27*k**3 - 30*k**2 + 56*k = 0. What is k?
-2, 0, 1, 28
Suppose b**4/3 + b**3 + b**2/3 - b - 2/3 = 0. Calculate b.
-2, -1, 1
Determine z, given that -2*z**3 - 6*z**2 + 32*z + 96 = 0.
-4, -3, 4
Solve d**5 - 1883*d**4 + 887358*d**3 - 876074*d**2 - 4421759*d - 2656443 = 0 for d.
-1, 3, 941
Suppose 5*z**3 + 20*z**2 - 400*z + 960 = 0. Calculate z.
-12, 4
Determine u so that -2*u**3/15 + 812*u**2/5 + 2*u/15 - 812/5 = 0.
-1, 1, 1218
Factor 26*d**3/7 + 186*d**2/7 + 288*d/7 + 40/7.
2*(d + 2)*(d + 5)*(13*d + 2)/7
Factor g**4/2 + 5*g**3/2.
g**3*(g + 5)/2
Find v such that -3*v**3 + 42*v**2 + 51*v - 90 = 0.
-2, 1, 15
What is y in 2*y**5/9 - 110*y**4/9 + 1664*y**3/9 - 4048*y**2/9 - 416*y/9 + 5408/9 = 0?
-1, 2, 26
Factor -2*n**3 - 28*n**2 + 98*n - 68.
-2*(n - 2)*(n - 1)*(n + 17)
Let 6*j**4 - 40*j**3 - 72*j**2 + 64*j = 0. Calculate j.
-2, 0, 2/3, 8
Suppose r**4/5 + 19*r**3/5 + 7*r**2 + 17*r/5 = 0. Calculate r.
-17, -1, 0
Let -4*k**2 + 416*k - 2352 = 0. Calculate k.
6, 98
Factor -3*u**3/7 - 27*u**2/7 - 24*u/7 + 180/7.
-3*(u - 2)*(u + 5)*(u + 6)/7
Let 2*j**2 - 900*j + 101250 = 0. What is j?
225
Find n such that -16*n**3 + 2740*n**2 + 2068*n - 688 = 0.
-1, 1/4, 172
Factor -3*s**4/5 - 132*s**3/5 - 378*s**2/5 - 372*s/5 - 123/5.
-3*(s + 1)**3*(s + 41)/5
Factor -11*k**2 + 15*k - 4.
-(k - 1)*(11*k - 4)
Factor x**2/5 - 11*x/5 - 26/5.
(x - 13)*(x + 2)/5
Let 4*x**2 + 88*x + 484 = 0. Calculate x.
-11
Factor 2*o**2/9 - 20*o/3 + 448/9.
2*(o - 16)*(o - 14)/9
What is n in 5*n**4 + 90*n**3 - 215*n**2 - 300*n = 0?
-20, -1, 0, 3
Factor 6*v**2 - 11*v - 2.
(v - 2)*(6*v + 1)
Factor 5*p**2 + 3820*p + 729620.
5*(p + 382)**2
Find z such that -5*z**3 + 2210*z**2 - 6585*z = 0.
0, 3, 439
What is x in 4*x**2/9 - 88*x/9 + 28/3 = 0?
1, 21
Let 4*t**4 - 1820*t**3 - 7328*t**2 - 7344*t = 0. What is t?
-2, 0, 459
Solve -k**5 - 47*k**4 + 97*k**3 - 49*k**2 = 0.
-49, 0, 1
Factor -4*s**4 + 36*s**3 - 80*s**2.
-4*s**2*(s - 5)*(s - 4)
Determine r so that -5*r**5/2 + 165*r**4/2 - 735*r**3/2 + 995*r**2/2 - 210*r = 0.
0, 1, 3, 28
Let -2*n**3/9 + 8*n**2/3 + 22*n - 2420/9 = 0. Calculate n.
-10, 11
Find y, given that 3*y**5/5 + 22*y**4 - 514*y**3/5 + 768*y**2/5 - 449*y/5 + 82/5 = 0.
-41, 1/3, 1, 2
Suppose -2*b**3/9 + 58*b**2/9 - 98*b/3 + 46 = 0. What is b?
3, 23
Factor -h**3/4 - 17*h**2/4 - 31*h/4 - 15/4.
-(h + 1)**2*(h + 15)/4
Factor 8*q**5 - 26*q**4 + 29*q**3 - 11*q**2 - q + 1.
(q - 1)**3*(2*q - 1)*(4*q + 1)
Determine k, given that 3*k**5 + 6*k**4 - 12*k**3 - 6*k**2 + 9*k = 0.
-3, -1, 0, 1
Factor 2*o**5/7 + 30*o**4/7 + 160*o**3/7 + 320*o**2/7 - 512/7.
2*(o - 1)*(o + 4)**4/7
Factor -2*t**3/9 + 160*t**2/9 - 466*t/9 + 308/9.
-2*(t - 77)*(t - 2)*(t - 1)/9
Solve 2*c**4/13 - 20*c**3/13 - 2*c**2/13 + 20*c/13 = 0 for c.
-1, 0, 1, 10
Determine x, given that 5*x**5 + 10*x**4 - 65*x**3 + 50*x**2 = 0.
-5, 0, 1, 2
Solve -4*s**2/7 + 382*s/7 + 192/7 = 0.
-1/2, 96
Determine q so that 2*q**4/13 + 8*q**3/13 - 36*q**2/13 + 40*q/13 - 14/13 = 0.
-7, 1
Factor -4*x**5/7 + 32*x**4/7 - 88*x**3/7 + 96*x**2/7 - 36*x/7.
-4*x*(x - 3)**2*(x - 1)**2/7
Solve -w**3 - 45*w**2 - 168*w + 8624 = 0.
-28, 11
Determine b so that b**5/8 - b**4/2 - 53*b**3/8 - 19*b**2/2 + 13*b/2 + 10 = 0.
-4, -2, -1, 1, 10
Factor -n**5 + 68*n**4 - 384*n**3 + 752*n**2 - 496*n.
-n*(n - 62)*(n - 2)**3
What is w in -153*w**2 - 24*w = 0?
-8/51, 0
Suppose h**3/3 + 3*h**2 + 20*h/3 + 4 = 0. What is h?
-6, -2, -1
Factor -10*i**3/3 + 2*i**2 + 724*i/3 + 96.
-2*(i - 9)*(i + 8)*(5*i + 2)/3
Determine m so that 2*m**2 - 17*m - 9 = 0.
-1/2, 9
Solve -3*z**2 - 30*z + 117 = 0 for z.
-13, 3
Factor -b**2/5 + 1256*b/5 + 2516/5.
-(b - 1258)*(b + 2)/5
Let -2*d**3 + 8*d**2 - 2*d - 12 = 0. Calculate d.
-1, 2, 3
Factor 5*g**5 + 15*g**4 - 30*g**3 - 40*g**2.
5*g**2*(g - 2)*(g + 1)*(g + 4)
Factor 5*z**2 + 105*z - 810.
5*(z - 6)*(z + 27)
Find f, given that 4*f**4 + 512*f**3 + 4244*f**2 - 4760*f = 0.
-119, -10, 0, 1
Let 75*c**3/7 + 2745*c**2/7 - 1107*c/7 + 111/7 = 0. Calculate c.
-37, 1/5
Factor -2*n**3/7 - 138*n**2/7 - 330*n + 350.
-2*(n - 1)*(n + 35)**2/7
Factor i**2 - 130*i + 4225.
(i - 65)**2
Suppose -16*s**3 + 92*s**2 - 56*s - 20 = 0. Calculate s.
-1/4, 1, 5
Factor 2*w**4/3 + 2*w**3/3 - 48*w**2 - 72*w + 576.
2*(w - 8)*(w - 3)*(w + 6)**2/3
Find h such that -2*h**2 - 48*h - 88 = 0.
-22, -2
Factor 5*p**5 - 18*p**4 + 17*p**3 - 4*p.
p*(p - 2)*(p - 1)**2*(5*p + 2)
Let g**4/2 + 107*g**3/2 + 1890*g**2 + 21384*g - 23328 = 0. What is g?
-36, 1
Factor -3*z**2 + 696*z - 40368.
-3*(z - 116)**2
Factor -3*y**4 + 24*y**3
|
{
"pile_set_name": "DM Mathematics"
}
|
-7762?
-11509
What is the next term in 5781798, 5781799, 5781800?
5781801
What is next in 512480925, 512480924, 512480923, 512480922, 512480921, 512480920?
512480919
What is the next term in -4616, -8383, -12154, -15929, -19708?
-23491
What is next in -84603, -82191, -79775, -77355, -74931, -72503?
-70071
What comes next: -921, -961, -983, -981, -949?
-881
What comes next: 10259949, 10259916, 10259895, 10259892, 10259913, 10259964?
10260051
What is the next term in -59518907, -119037814, -178556721?
-238075628
What is next in 33048, 33463, 33782, 33957, 33940, 33683, 33138?
32257
What comes next: 12797, 49575, 110897, 196763, 307173, 442127, 601625?
785667
What is next in 1437212, 1437219, 1437226, 1437233, 1437240, 1437247?
1437254
What is the next term in -3123, -589, 3633, 9543?
17141
What comes next: 89096, 86535, 83974, 81413, 78852?
76291
What is the next term in 10048, 9986, 9890, 9742, 9524, 9218, 8806, 8270?
7592
What is next in -7842938, -15685874, -23528810, -31371746?
-39214682
What comes next: -23654, -46442, -69228, -92012?
-114794
What is the next term in -114, -156, 300, 1674, 4386, 8856, 15504, 24750?
37014
What is next in -57345003, -57344997, -57344989, -57344979, -57344967, -57344953, -57344937?
-57344919
What comes next: 10790, 16881, 22974, 29069, 35166, 41265?
47366
What is next in 8203, 16606, 25009, 33406, 41791, 50158, 58501, 66814?
75091
What is the next term in 4755, 4670, 4585?
4500
What is the next term in -42030, -42250, -42616, -43128, -43786, -44590?
-45540
What comes next: -2008988, -2009023, -2009058?
-2009093
What is next in 18469, 73800, 166019, 295126?
461121
What is the next term in -4116, -13144, -27088, -45948, -69724?
-98416
What is the next term in 217121, 217386, 218117, 219548, 221913?
225446
What is the next term in -3636448, -7272896, -10909344, -14545792, -18182240, -21818688?
-25455136
What comes next: -17739, -33952, -48643, -61812?
-73459
What is the next term in -1195383, -4781595, -10758625, -19126479, -29885163, -43034683?
-58575045
What is the next term in 109, 1832, 7143, 18034, 36497?
64524
What is the next term in -11322851, -45291398, -101905637, -181165562, -283071167?
-407622446
What comes next: 35312888, 35312891, 35312894?
35312897
What is the next term in -13281, -13306, -13295, -13230, -13093, -12866, -12531?
-12070
What comes next: -53911441, -53911440, -53911439?
-53911438
What is the next term in 3166669, 3166726, 3166815, 3166930, 3167065, 3167214, 3167371?
3167530
What is next in -734782223, -734782222, -734782221, -734782220, -734782219?
-734782218
What is the next term in -1252, -4648, -10324, -18292, -28564, -41152, -56068, -73324?
-92932
What is the next term in -10027954, -40111821, -90251598, -160447285, -250698882?
-361006389
What comes next: 18291, 18526, 18869, 19320, 19879?
20546
What comes next: 13164, 26470, 39784, 53112, 66460, 79834?
93240
What is the next term in -2254, -4274, -6048, -7576, -8858, -9894?
-10684
What is the next term in 3475, 3626, 3667, 3598, 3419, 3130, 2731?
2222
What is next in -5600, -5360, -4966, -4418?
-3716
What is next in -421483, -421975, -422467, -422959, -423451, -423943?
-424435
What is next in -180, -1208, -3038, -5766, -9488?
-14300
What comes next: -3829, -12496, -21163?
-29830
What comes next: -40080, -80229, -120378, -160527, -200676?
-240825
What is next in -83191, -83219, -83265, -83329, -83411, -83511, -83629?
-83765
What comes next: 4630, 22475, 52216, 93853, 147386, 212815?
290140
What is the next term in 144523032, 144523030, 144523026, 144523020?
144523012
What comes next: -884447554, -884447553, -884447552, -884447551?
-884447550
What is next in -1352, -3774, -7812, -13466, -20736, -29622, -40124?
-52242
What comes next: 11220, 22255, 33290, 44325?
55360
What comes next: -210769, -211323, -211877?
-212431
What is next in 1626470448, 1626470449, 1626470450?
1626470451
What is next in 365690, 731001, 1096308, 1461605, 1826886, 2192145?
2557376
What is the next term in -7808, -7746, -7684, -7622, -7560?
-7498
What is next in 34024, 35363, 37594, 40717?
44732
What is the next term in 29616490, 29616481, 29616472?
29616463
What comes next: -2346, -16470, -30594, -44718, -58842?
-72966
What is next in -790, -747, -710, -703, -750, -875, -1102, -1455?
-1958
What comes next: -427, -459, -495, -547, -627?
-747
What is next in -13907, -27717, -41537, -55373, -69231, -83117, -97037?
-110997
What comes next: 6519, 5987, 4437, 1359, -3757, -11421, -22143, -36433?
-54801
What is next in -276424, -275601, -274778, -273955, -273132, -272309?
-271486
What is next in -146081, -146093, -146105, -146117, -146129, -146141?
-146153
What is next in -4982, -11437, -17880, -24305, -30706?
-37077
What is next in 6661, 11094, 15527, 19960?
24393
What is next in -355527, -711147, -1066853, -1422639, -1778499?
-2134427
What is the next term in -1469, -1428, -1399, -1394, -1425, -1504, -1643?
-1854
What is next in -12297, -14864, -17431, -19998, -22565?
-25132
What is the next term in -307, -437, -801, -1519, -2711, -4497, -6997, -10331?
-14619
What is next in 104214, 208939, 313664, 418389, 523114?
627839
What comes next: -61, 368, 1507, 3704, 7307, 12664?
20123
What comes next: 55950, 55191, 53936, 52191, 49962?
47255
What is next in 46819, 47188, 47803, 48664?
49771
What is the next term in -26205562, -52411123, -78616684?
-104822245
What comes next: 31014843, 62029679, 93044515, 124059351?
155074187
What comes next: 15246447, 15246446, 15246445, 15246444?
15246443
What is the next term in -360837, -721954, -1083357, -1445046?
-1807021
What comes next: -1034, -1493, -1866, -2165, -2402, -2589?
-2738
What comes next: -1442, -10957, -36784, -87077, -169990?
-293677
What comes next: 16423, 65650, 147691, 262546?
410215
What comes next: 1348401, 1348431, 1348461, 1348491?
1348521
What is next in -17873, -17773, -17573, -17273, -16873, -16373, -15773?
-15073
What is next in -362751, -725491, -1088231, -1450971, -1813711?
-2176451
What is next in 3785, 15217, 34275, 60959, 95269, 137205?
186767
What comes next: 150557, 148286, 146015, 143744?
141473
What is next in 2452, 4636, 6846, 9094, 11392, 13752?
16186
What is next in -13133, -22715, -28745, -31223, -30149, -25523?
-17345
What comes next: 32668792, 65337586, 98006380, 130675174, 163343968, 196012762?
228681556
What comes next: 10300, 10171, 10086, 10063, 10120, 10275, 10546?
10951
What is the next term in 9155, 18365, 27577, 36797, 46031, 55285?
64565
What comes next: 3159, 7716, 12279, 16842, 21399, 25944, 30471?
34974
What is the next term in -77549176, -155098344, -232647512?
-310196680
What is the next term in -419952, -839802, -1259652?
-1679502
What comes next: 293235, 586449, 879673, 1172919, 1466199?
1759525
What comes next: -639, -1092, -1409, -1590, -1635, -1544, -1317?
-954
What comes next: 10088992, 40355978, 90800956, 161423926?
252224888
What is the next term in -650, -5770, -19746, -47006, -91978?
-159090
What comes next: -354467, -354664, -354873, -355094, -355327, -355572, -355829?
-356098
What is the next term in 5601, 22410, 50413, 89610, 140001, 201586, 274365?
358338
What comes next: 664, 2339, 5096, 8935, 13856, 19859, 26944?
35111
What comes next: 114937, 229811, 344665, 459493, 574289?
689047
What is next in 6826, 12238, 17650, 23062?
28474
What is next in 1820552925, 1820552923, 1820552921?
1820552919
What is the next term in 32123940, 64247883, 96371828, 128495775, 160619724, 192743675, 224867628?
256991583
What is the next term in -15020859, -15020861, -15020865, -15020871, -15020879, -15020889, -15020901?
-15020915
What comes next: 2642837, 5285662, 7928487, 10571312?
13214137
What comes next: -3184, -3303, -3444, -3619, -3840, -4119?
-4468
What is the next term in -10482019, -20964040, -31446061, -41928082, -52410103?
-62892124
What is the next term in 69950879, 69950882, 69950885?
69950888
What comes next: -1071, -417, 239, 897, 1557, 2219?
2883
What is next in -4179, -4873, -6029, -7647, -9727, -12269?
-15273
What is the next term in -653, -2354, -4693, -7676, -11309, -15598, -20549, -26168?
-32461
What is the next term in 2062, 9463, 16864, 24265, 31666?
39067
What is next in -7342, -14718, -22084, -29440?
-36786
What comes next: 470845420, 470845411, 4708453
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0 for c.
4
Let k be (-1)/(3/15)*-2. Suppose -4*h = h - k. Suppose 4 = h*t - 4. Solve n = -t*n for n.
0
Let t be (0/(-2))/((-3)/3 + 2). Suppose t = 16*s - 19*s + 51. Solve 3*x + 2 = s for x.
5
Suppose 104 = -4*d + 520. Solve -p = -108 + d for p.
4
Let u = -218 + 219. Solve -u + 5 = -4*m for m.
-1
Let x be (8 - 9/3) + -1. Suppose 5*u + j - 1 = -0*j, 3 = -x*u + 3*j. Solve 0 = -u*b + 5*b + 10 for b.
-2
Let d be -9*(-2 - 10/(-6)). Suppose -4 = -b, p + 24 = -d*p + 4*b. Let l be (p/(-5))/(5/50). Solve 0 = -3*a + l*a for a.
0
Let v = 39 - 25. Let n = 20 - v. Let k be 200/30 + 2/n. Solve -3*w + 5 + k = 0 for w.
4
Let g be 1/((1 - -2)/6). Let d be (100/(-15))/10*-6. Solve -d*p - 2 = -g*p for p.
-1
Let j be (-1)/(52/(-48) - -4 - 3). Solve -2*n - j = n for n.
-4
Suppose -5*u + 49 = -3*f + 2, 5*f + 20 = 0. Suppose 0 = 3*d - 2*d - u. Let b = -2 + d. Solve 27 - 7 = -b*h for h.
-4
Suppose -26*l = -23*l. Suppose 3*n + l*n = 3. Let p be 33/9 + n/3. Solve p*j + 11 + 5 = 0 for j.
-4
Let s be 4/(-4)*(0 + 2). Let h(b) = -b + 2. Let w be h(s). Solve -w*a + 3 = -a for a.
1
Suppose -2*f + 381*l = 377*l - 32, 0 = -2*l - 16. Let q = 4 + -6. Let g = q + 5. Solve -g = y - f for y.
-3
Let h(o) = -4*o + 146. Let c be h(33). Solve -c*g - 36 = -2*g for g.
-3
Let g(k) = -k - 1. Let u be g(-6). Let s = u + -1. Suppose 0 = s*h - 2*h + 4, h = -4*y + 98. Solve -5*f - y = -10*f for f.
5
Suppose 3*s - 187*l = -185*l + 205, 4*s - 266 = -l. Solve 0 = -64*c + s*c for c.
0
Suppose -c = -2*m + 16, -3*m - 6*c + c = -11. Solve -m*q + 9 - 44 = 0 for q.
-5
Let h be (-3)/(4/(-12)*3). Let g(y) = -y**3 + 5*y**2 - 2*y - 6. Let r be g(h). Solve r*m - m = -15 for m.
-3
Let g(w) = -w - 2. Let o be g(-5). Suppose o*p + 5*c + 14 = 0, 5*p - 5*c - 25 = 5. Let x be (-2)/4 - (-2)/4. Solve 0 = s + p - x for s.
-2
Let o(j) = -6*j**3 - 205*j**2 - 35*j - 32. Let l be o(-34). Solve -6*x + l*x = -20 for x.
5
Let r(n) = 2*n**2 + 29*n. Let p be r(-15). Solve 10*q + p = 5*q for q.
-3
Let n be 72/(-16)*(-4)/3. Let z(p) = p - 7. Let t be z(n). Let f be (2 + t)*-1*-5. Solve f = 2*i - 5 for i.
5
Suppose -v + 3*g - 1 = 0, g - 19 = -4*v + 2*v. Let x be 26/v - 4/16. Solve 0 = x*f + 2 - 5 for f.
1
Suppose -o = -4*i + 12, 2*o + o = 5*i - 15. Solve s + 4*s + 20 = o for s.
-4
Let f = 74 - 71. Suppose -4*v + c = -0*c + f, 9 = 3*c. Solve -5*y + 3*y = v for y.
0
Let u = -749 - -766. Solve 16 = z + u for z.
-1
Let a = 5 + -3. Let b be a/(1*3/6). Let x be 0/((-10)/(-5) + 0). Solve x*i - 16 = -b*i for i.
4
Let f = 767 + -762. Solve 0 = -2*h + f*h + 15 for h.
-5
Let x = -740 - -773. Solve -3 = 10*m - x for m.
3
Let y(w) = 3*w + 5. Let a be y(-3). Let i(m) = -2*m + 5. Let c be i(a). Let k = c + -11. Solve 0*s + k = s for s.
2
Let q be 3/(3/4) - 0. Let a = -1 + 1. Suppose -4*p + 40 = q*n, n = 4*p - a*n - 20. Solve h + 2 = p for h.
4
Suppose -22 = -3*o + 6*l - l, 2*o - 5*l - 18 = 0. Suppose -j = 2*m - 33, -o*j + m = -0*j - 114. Let i = j + -22. Solve -a - 4 = -i for a.
3
Suppose 0 = 11*z - 16*z. Suppose z = g - 2*g. Solve 0 = -m - g + 1 for m.
1
Suppose 5*q = -q + 48. Suppose 0 = 2*f + 2 - 8. Solve -o - q = f*o for o.
-2
Let h = 1 - -32. Suppose 3*a + 2*a - h = -y, 0 = -3*y + a + 35. Solve 5*g + y = -2 for g.
-3
Let p be (-24)/(-3) - 4 - -15. Let l = p - 16. Suppose 3*s - d + 6 = 3*d, 12 = l*s + 2*d. Solve -8 - s = 5*a for a.
-2
Let p(l) be the second derivative of -2*l**3/3 - 3*l**2 - 17*l. Let z be p(-4). Solve -6*u + u = -z for u.
2
Let w = 63 + -61. Solve 18 = w*j + 22 for j.
-2
Let s = 951 + -942. Solve 3 = -3*f + s for f.
2
Suppose 192 - 92 = 5*m. Solve k + m = 5*k for k.
5
Let v = 1337 - 1305. Solve -2*k - v = -10*k for k.
4
Let l be 0 + (3 - 1) + -2. Suppose l*w + w + 11 = 0. Let a be (w - -7)*(-2)/4. Solve a*z - 8 = -2*z for z.
2
Let k(d) = -d**2 + 14*d + 9. Let x be k(12). Suppose w = 5*h + 27, -2*h + x = 4*w + 3*h. Suppose 3*g + 5*b = 56, -g + 2*b + w = 7*b. Solve 5*r + g = -3 for r.
-5
Let f be 3 - ((-2 - -2) + 2). Suppose -5 = r + 1. Let u = 16 + r. Solve 0 = -3*p + u - f for p.
3
Let t = 197 - 193. Solve -t = -4*d - 8 for d.
-1
Let p(h) = -h**3 - 7*h**2 + 6*h - 16. Let s = 35 - 43. Let z be p(s). Solve z = -5*x + 4*x + 3 for x.
3
Let w = -1524 + 1597. Solve 75*j - 10 = w*j for j.
5
Let d = 1 - -3. Solve -5*y - d = -7*y for y.
2
Let t = 15 + -11. Let d = 4 + -1. Solve t*o - d = 1 for o.
1
Suppose -4*s = -16*s. Solve -4*c + 3*c = s for c.
0
Let o(l) = l - 1. Let v(i) = -i**3 + 8*i**2 - 3*i - 1. Let g(p) = 5*o(p) - v(p). Let x be g(7). Let n be (3 - 4)*(-6)/x. Solve -n*k - k = -12 for k.
4
Let h(a) be the second derivative of a**5/20 - a**4/4 - 2*a**3/3 - 3*a**2/2 - 2*a. Let b be h(4). Let i = b - -3. Solve i*t = 2*t + 10 for t.
-5
Let h(c) = -c**3 - 2*c + 6. Let a(w) = w**3 - w**2 + 2*w - 6. Let v(y) = -3*a(y) - 2*h(y). Let s be v(3). Let z = 11 + -6. Solve z*u - 5 = -s*u for u.
1
Let i = 239 - 236. Solve i*s + 10 = 22 for s.
4
Let w = -1599 + 1653. Solve 0 = 2*q - 62 + w for q.
4
Suppose 13*x - 212 = 230. Solve 33*i - x*i = 2 for i.
-2
Suppose 0 = 15*w + 4*w - 133. Solve 8 = 3*r - w for r.
5
Let h = 80 + -60. Suppose 5*w + 2*n = -10, w - 4*n = 4*w + h. Solve 0 = -z - w*z for z.
0
Let i(h) = h**3 + 12*h**2 + 22*h + 20. Let t be i(-10). Solve -6*m - 16 - 14 = t for m.
-5
Suppose 2*t + 185 = 6*t - 5*q, -5*t + 190 = 2*q. Let n be 2 + t/(-22) - (-384)/66. Solve n - 2 = -h for h.
-4
Suppose 1156*f = 1160*f - 24. Solve -f*i + 20 = -10*i for i.
-5
Let v(x) be the third derivative of x**6/120 + x**5/30 - x**4/24 + x**3/6 + 4*x**2. Let m be v(1). Solve 3 = m*a - 0 for a.
1
Suppose 4*z + 0 - 16 = 0. Suppose z*m = -0*m. Solve b + 5 = -m for b.
-5
Let m be -1*1 - (3 - 16). Let r be 6/3 + -2 - m. Let w = 15 + r. Solve 0 = -w*f - 0*f - 6 for f.
-2
Let p = 3 - -1. Let y = -828 - -831. Solve p = -y*g - 2 for g.
-2
Let w = -1 + 5. Suppose 0 = l + w*l. Let c(v) = v**3 - 16*v**2 + 15*v + 6. Let h be c(15). Solve l = 4*f - h*f - 6 for f.
-3
Let g be (-2 - (-7)/3)*15. Let u = 116 - 113. Suppose -u*o = -g*o. Solve o*z + 5*z = 0 for z.
0
Let o(m) = 35*m + 1098. Let v be o(-31). Solve -9*a = -v*a for a.
0
Suppose 41 = -3*z - 49. Let c be 2/(-10) + -4 + (-366)/z. Solve -3*j = -c - 4 for j.
4
Let b(u) = -u**2 + 15*u + 3. Let s be b(15). Suppose o = -s*o - 12, 5*m - 4*o = 27. Let n(r) = -r**2 + 15*r - 5. Let v be n(14). Solve -2*z - v = -m for z.
-3
Suppose d + 4*l + 754 = 6*d, -4 = 4*l. Solve 4*u - 130 = -d for u.
-5
Let g = 16 + -13. Suppose -3*s = -3*i - 63, -3 + 54 = g*s + i. Suppose 2*x - s = -x. Solve 0 = 3*v - 0*v + x for v.
-2
Let r = 5152 + -5151. Suppose 2*s + j = 0, 3*s - 1 = -2*j - 3. Solve r + s = -i for i.
-3
Let w(c) = 2*c + 30. Suppose 4*t + 20 = -2*x, -5*x = 4*t - 3*t + 32. Let i be w(x). Solve -i = 5*a + 7 for a.
-5
Let x = -228 - -234. Solve x*v - 8 = 16 for v.
4
Let w(p) = -5*p - 5. Let c be w(-5). Suppose 5 = x - 4*f, 2*x + f = -0*f + 1. Let a = 7 - x. Solve -c = -2*z + a*z for z.
-5
Suppose -2*z + 22 = 3*d + d, 3*d + 9 = 0. Solve 21 = -4*n + z for n.
-1
Suppose x - c = 25, -4*c = 4*x + 34 - 142. Let v = x - 24. Solve 0 = -5*r + 8 + v for r.
2
Let z be 6/10 + 110/25. Suppose 9*q = z*q + 16. Suppose -t + q = 3*v - 3, -3*t = -5*v + 21. Solve i = -v*i - 4 for i.
-1
Let h = -308 - -331. Solve -25*w = -h*w for w.
0
Let s = 640 + -613. Solve 0 = 5*l + s - 7 for l.
-4
Let j be ((-235)/282)/(1/(-6)). Solve 11*r - j*r - 12 = 0 for r.
2
Suppose 4*s = -9*i + 8*i + 304, -91 = -s - 4*i. Solve s*a - 76*a = 2 for a.
-2
Let i be ((-135)/(-90))/(-4*1/(-168)). Solve 0 = 57*k - i*k - 18 for k.
-3
Suppose 0 = s + 3 - 1, -k + 10 = -5*s. Suppose k = -z - 3 + 7. Solve 7 = l + z for l.
3
Suppose 3*d + 4*z = -10, -3*z + 8 = 2*d - 4*z. Suppose f + 2*i - 7 = 0, -d*f + 4*i + 3 + 3 = 0. Solve -f = s - 7 for s.
2
Let v(g) = 23*g**3 + 2*g**2 + 2*g - 3. Let u be v(1). Suppose 5*y = q - u, 3*y + 6 = y. Solve 4 - q = 5*f for f.
-1
Suppose 0*m = 2*m - 2*z - 14, -3*z = -2*m + 19. Let k be 32/(-56)*(-14)/4. Solve m*t - 8 = k for t.
5
Suppose -4*r - 17 = d, -2*d - 2*r = -r - 1. Solve 0 = d*m + 2*m for m.
0
Suppose -2*k - 1 = -7. Suppose -45*a = -40*a - 55. Solve k*n = a + 1 for n.
4
Suppose 0 = -5*n + 9*n - 128. Let l be n/(5 - 1) + -3. Solve 3*q - 2 = l*q for q.
-1
Suppose m + m - 10 = 5*b, -5*m = -5*b + 5. Let y = 6 + b. Let p = y - 2. Solve p = o + 2*o f
|
{
"pile_set_name": "DM Mathematics"
}
|
40
Convert 75888.94 micrometers to nanometers.
75888940
How many kilograms are there in fifty-four fifths of a tonne?
10800
Convert 995858.3m to centimeters.
99585830
Convert 8039.687 years to centuries.
80.39687
What is thirty-one halves of a minute in seconds?
930
What is 6.849646t in kilograms?
6849.646
What is 5/4 of a litre in millilitres?
1250
How many nanometers are there in seventy-one fifths of a micrometer?
14200
What is thirty-one fifths of a kilogram in grams?
6200
What is 425.6258 kilometers in micrometers?
425625800000
How many months are there in three tenths of a century?
360
What is 0.4863519 tonnes in kilograms?
486.3519
What is 0.4369117 years in millennia?
0.0004369117
What is 0.4473156 months in centuries?
0.000372763
Convert 66722.523 hours to weeks.
397.157875
What is 953164.6l in millilitres?
953164600
How many millilitres are there in fourty-six fifths of a litre?
9200
What is 3/50 of a milligram in micrograms?
60
Convert 544.30758 nanoseconds to hours.
0.00000000015119655
How many litres are there in 643169.6ml?
643.1696
How many months are there in seven halves of a century?
4200
What is 35.73132 milligrams in nanograms?
35731320
What is 26909.99ml in litres?
26.90999
How many millilitres are there in 18/5 of a litre?
3600
How many millilitres are there in 21/4 of a litre?
5250
What is 328.4917s in milliseconds?
328491.7
How many centimeters are there in 2959.91m?
295991
What is 3/5 of a kilogram in grams?
600
Convert 0.898716l to millilitres.
898.716
What is 390.909 months in decades?
3.257575
What is 0.9436596l in millilitres?
943.6596
What is 6507.278 millennia in decades?
650727.8
What is 583.4496 centuries in months?
700139.52
What is six fifths of a second in milliseconds?
1200
How many meters are there in 2596.012cm?
25.96012
Convert 779733.6 millilitres to litres.
779.7336
How many nanograms are there in 42.44348 grams?
42443480000
What is 3/40 of a gram in micrograms?
75000
Convert 0.2080862 micrograms to grams.
0.0000002080862
What is 6/25 of a millennium in decades?
24
How many decades are there in 6/5 of a millennium?
120
What is three sixteenths of a day in seconds?
16200
Convert 917798.7 nanoseconds to milliseconds.
0.9177987
Convert 3552.366ms to minutes.
0.0592061
How many nanoseconds are there in 53443.49 days?
4617517536000000000
Convert 75517.308 minutes to days.
52.442575
How many centimeters are there in 3/8 of a kilometer?
37500
How many centuries are there in three fifths of a millennium?
6
Convert 818.9857l to millilitres.
818985.7
Convert 261933.12 months to centuries.
218.2776
How many nanometers are there in 5/8 of a micrometer?
625
What is 250.15209 months in years?
20.8460075
What is 1036.00377ms in days?
0.000011990784375
What is 56.4206517 minutes in weeks?
0.005597286875
How many years are there in 89/2 of a decade?
445
What is 10943.397us in days?
0.0000001266596875
What is 275.4826 kilometers in meters?
275482.6
Convert 29906.53 milligrams to tonnes.
0.00002990653
How many nanograms are there in 56482.82ug?
56482820
What is 8028.318 centimeters in meters?
80.28318
What is 287.05071 months in centuries?
0.239208925
What is 143657.2l in millilitres?
143657200
How many millilitres are there in 34/5 of a litre?
6800
What is 13/4 of a litre in millilitres?
3250
How many months are there in 5/8 of a century?
750
What is 3.438427 decades in centuries?
0.3438427
Convert 93.63178 centimeters to micrometers.
936317.8
What is fourty-three thirds of a day in minutes?
20640
How many grams are there in 21/8 of a kilogram?
2625
What is 73/5 of a kilometer in meters?
14600
How many decades are there in fourty-three halves of a millennium?
2150
How many nanograms are there in 27/2 of a microgram?
13500
What is seven quarters of a tonne in kilograms?
1750
How many decades are there in 881.0555 centuries?
8810.555
How many meters are there in one quarter of a kilometer?
250
How many milligrams are there in 5.561065 kilograms?
5561065
What is 75/4 of a litre in millilitres?
18750
What is 82437.1 decades in months?
9892452
Convert 98.94875ml to litres.
0.09894875
How many micrograms are there in one quarter of a milligram?
250
How many seconds are there in 1/54 of a week?
11200
What is 2130.1794us in hours?
0.0000005917165
What is 18/5 of a decade in months?
432
How many nanograms are there in 8.385568t?
8385568000000000
What is 527594.7s in nanoseconds?
527594700000000
Convert 845493.3 nanometers to micrometers.
845.4933
What is 3/50 of a kilogram in milligrams?
60000
How many milligrams are there in 874.6809t?
874680900000
What is 27/2 of a millennium in years?
13500
How many nanoseconds are there in one tenth of a microsecond?
100
Convert 28797.033 hours to days.
1199.876375
How many seconds are there in 17/6 of a hour?
10200
What is one tenth of a week in seconds?
60480
How many litres are there in 623.7445ml?
0.6237445
How many hours are there in 3/8 of a day?
9
How many milligrams are there in one fifth of a gram?
200
How many millimeters are there in 41499.73 nanometers?
0.04149973
What is 937.728 litres in millilitres?
937728
What is 398.7507us in seconds?
0.0003987507
How many millilitres are there in 2.49895l?
2498.95
What is 65.80081l in millilitres?
65800.81
How many nanograms are there in 478342.5 tonnes?
478342500000000000000
How many decades are there in fifty-seven halves of a millennium?
2850
What is one quarter of a milligram in micrograms?
250
How many nanometers are there in 0.065119km?
65119000000
Convert 0.1664257 millilitres to litres.
0.0001664257
How many grams are there in eleven tenths of a kilogram?
1100
How many decades are there in 13/4 of a millennium?
325
Convert 0.4727994 months to millennia.
0.00003939995
How many millilitres are there in 17968.6l?
17968600
How many litres are there in 1.869625 millilitres?
0.001869625
How many nanometers are there in 3/8 of a micrometer?
375
Convert 965325.5 micrograms to tonnes.
0.0000009653255
What is 32/7 of a week in days?
32
How many centimeters are there in 6/25 of a meter?
24
How many centimeters are there in nine tenths of a meter?
90
Convert 949769.9 tonnes to nanograms.
949769900000000000000
Convert 29432.493 months to millennia.
2.45270775
Convert 78028.69mm to nanometers.
78028690000
How many months are there in one tenth of a millennium?
1200
What is 9/10 of a litre in millilitres?
900
How many millilitres are there in 5.274176 litres?
5274.176
What is 37/5 of a litre in millilitres?
7400
How many micrograms are there in 43014.3g?
43014300000
How many millimeters are there in 3/10 of a centimeter?
3
Convert 147747.3kg to milligrams.
147747300000
What is 57/5 of a millennium in centuries?
114
How many nanoseconds are there in 19/4 of a microsecond?
4750
How many micrograms are there in 6/5 of a milligram?
1200
How many hours are there in 1/4 of a week?
42
What is seventy-nine halves of a decade in years?
395
What is 1.650945l in millilitres?
1650.945
What is seventy-seven halves of a meter in millimeters?
38500
How many days are there in 23159.178 minutes?
16.0827625
Convert 1.846791 tonnes to kilograms.
1846.791
Convert 3.704106 months to years.
0.3086755
How many milligrams are there in 3/25 of a gram?
120
How many hours are there in 11/14 of a week?
132
Convert 48.94433 millennia to decades.
4894.433
How many millilitres are there in 1/4 of a litre?
250
How many millilitres are there in 704.8069l?
704806.9
What is 11/8 of a litre in millilitres?
1375
How many nanometers are there in 36549.19 meters?
36549190000000
What is seven halves of a day in hours?
84
What is 3/50 of a tonne in grams?
60000
Convert 3.881224 millilitres to litres.
0.003881224
Convert 45820.39 millilitres to litres.
45.82039
How many grams are there in six fifths of a kilogram?
1200
What is 27/4 of a litre in millilitres?
6750
How many kilograms are there in twenty-one quarters of a tonne?
5250
How many millilitres are there in 3/40 of a litre?
75
Convert 66870.02g to nanograms.
66870020000000
What is five eighths of a second in milliseconds?
625
How many decades are there in 17/2 of a century?
85
What is 6/25 of a litre in millilitres?
240
Convert 5.288309 milligrams to tonnes.
0.000000005288309
Convert 611465.3nm to micrometers.
611.4653
How man
|
{
"pile_set_name": "DM Mathematics"
}
|
/19)*v*v*v)*((v/(v/v**34))/v)**(-2/37) assuming v is positive.
v**(-17029/4921)
Simplify (n**(-38)/(n/n**(18/5)*n))/(n/(n*n**25*n)*n)**(1/22) assuming n is positive.
n**(-3879/110)
Simplify (l*l*l**28)/(l**38/l*l)*l*l*(l*l*l*l**(-7/2))/l*l**(-3/10) assuming l is positive.
l**(-39/5)
Simplify ((k/k**0*k*k)**9/((k*k**4)/(((k/(k/k**(-4)*k))/k)/k)))**(1/28) assuming k is positive.
k**(15/28)
Simplify (o**(-1/17)/o)**(7/11)/(o*(o*o**(14/3))/o*o*o**22/o) assuming o is positive.
o**(-15899/561)
Simplify (((v/(v*v**(2/3)))**(-32))**19)**(-34) assuming v is positive.
v**(-41344/3)
Simplify (q*q*q/(q/(q/q**(-10))))**(1/18)/(q**(5/2)/q*q**(-7/2)) assuming q is positive.
q**(49/18)
Simplify (p**31/(p/(p/((p*p*p/p**(5/7))/p))))/(p**9)**(3/35) assuming p is positive.
p**(1013/35)
Simplify (((v*v**(2/21))/v)/v**(1/7))**(-36) assuming v is positive.
v**(12/7)
Simplify (u/(u/u**(-9)*u))**(-20/7)/(u**1/u)**(-39/2) assuming u is positive.
u**(200/7)
Simplify (((h**(1/5)*h)/h*h/(h**(-1/10)/h))**(-14))**44 assuming h is positive.
h**(-7084/5)
Simplify ((y**(-1/3)*y*y*y/((y*(y*y**(4/7))/y*y*y)/y))**(3/26))**(7/6) assuming y is positive.
y**(1/78)
Simplify (u**(-2)*u*u*u/u**(-5/3))**(1/27) assuming u is positive.
u**(8/81)
Simplify (k*k/k**(-5)*k)**14/(k**(-7))**(-1/20) assuming k is positive.
k**(2233/20)
Simplify (c*c/(c*c**(-3)))/(c*c**(-2/37)*c)*(c**(3/7)/c)**(1/20) assuming c is positive.
c**(2623/1295)
Simplify (z*z**(-1/5)*z)/(z/z**(2/49))*z**(-21)*z**(1/19) assuming z is positive.
z**(-93596/4655)
Simplify ((f**(5/4)*f**(-4)*f)/(f**(4/9)*f**(-10)))**(-43) assuming f is positive.
f**(-12083/36)
Simplify m/(m*m**(2/9))*m**(-12)*m**14*m/m**7 assuming m is positive.
m**(-38/9)
Simplify (y/(y*(y*y**(-2/21))/y))**(7/4)*(y**(3/13)/y)/y*y**(3/8)/y assuming y is positive.
y**(-695/312)
Simplify (y**(-1/11)*y*y**(2/9)*y)/((y/y**(-2))/(y*y/y**(-3))) assuming y is positive.
y**(409/99)
Simplify s/s**(-4)*s**34*s/(s**(-27/5)*s)*s**25/s assuming s is positive.
s**(342/5)
Simplify (v*(v/v**(-1/3))/v*v**4*v*v*v/(v/(v/v**(-2/9)*v*v)*v)*v*v/(v*v**0))**(-42) assuming v is positive.
v**(-1330/3)
Simplify ((l*l**14)/(l**21*l))/(l**(1/18))**12 assuming l is positive.
l**(-23/3)
Simplify ((q**(-4/15)/q**(-12))**1)**12 assuming q is positive.
q**(704/5)
Simplify ((c*c*c*c**(2/9)*c*(c/c**3*c*c)/c)**(-7/2))**(-38) assuming c is positive.
c**(3857/9)
Simplify ((a*a/((a*a**(-1/42))/a)*a)/(a**(1/6)*a))/(a*a*a*(a/(a/((a**(16/7)/a)/a*a)))/a*a**(1/36)) assuming a is positive.
a**(-367/252)
Simplify (((k**(-3/10)*k)/k)/k*(k*k**(-2/7))/k*k*((k*k*(k**1/k)/k*k)/k)**(-2/15))**(1/2) assuming k is positive.
k**(-151/420)
Simplify (f**(5/2)*f*f**(-11))**(-40) assuming f is positive.
f**300
Simplify ((v**(2/5)/v)/v*v*v/(v**(-3/7)/v)*v**(-10)/(v**(-2/27)*v*v))**(-1/5) assuming v is positive.
v**(9542/4725)
Simplify ((q*q*(q*q**(-2/13))/q*q*q)/(q*q*(q**(-12)/q)/q))/(q*q/((q**(1/4)*q)/q))**(-1/87) assuming q is positive.
q**(71779/4524)
Simplify (b**(16/3)*b)/b**(-13)*(b/(b**2*b))/b**(-5/6) assuming b is positive.
b**(109/6)
Simplify o**(-11/5)*(o*(o/(o/(o*o*o**0*o)))/o)/o*o**(-16/5)*o**(-26)*o assuming o is positive.
o**(-142/5)
Simplify (z**(-6)*z)**(1/2)/(((z**16*z)/z)/z*z**9) assuming z is positive.
z**(-53/2)
Simplify ((y**(-5/7))**40)**(-9/4) assuming y is positive.
y**(450/7)
Simplify (z*z**7*z*z)**32*z**(-16/3)*(((z**25/z)/z)/z)/z assuming z is positive.
z**(1007/3)
Simplify ((s**(3/7)*s)/s)**25/(s**(-6))**(1/5) assuming s is positive.
s**(417/35)
Simplify (s*s/s**(-2/55)*s)/s**(2/49)*((s**(-1)/s)/s)**1 assuming s is positive.
s**(-12/2695)
Simplify (w/(w**(-6)*w))**(1/20)/(w/(w*w*(w*w**(2/7))/w))**(-21) assuming w is positive.
w**(-267/10)
Simplify (p**(-18)/((p*p/p**12)/p))/((p**(-7)/p)/p)**(-3/5) assuming p is positive.
p**(-62/5)
Simplify (t**3*t)**(2/21)/(t**(-1/2)/t)**(-2/11) assuming t is positive.
t**(25/231)
Simplify ((g/(g/g**11))/(g/g**(6/7)))**(-34) assuming g is positive.
g**(-2584/7)
Simplify w/(w**(-1/14)/w)*w*w**(-1/31)*(w**(1/3))**2 assuming w is positive.
w**(4825/1302)
Simplify (a**(-4))**46/((a*a**8)/(a**(-14)/a)) assuming a is positive.
a**(-208)
Simplify ((y**(5/3)/y)/y**(-3/8))/(y**(2/5)*y*(y*y**(-1/4)*y)/y*y) assuming y is positive.
y**(-253/120)
Simplify (a**(2/9))**(1/10)/(a**(2/23)/(a**(-1/28)*a)) assuming a is positive.
a**(26069/28980)
Simplify (((h/(h*h/(h/h**6)))/(h/h**(5/3)))/(h**(2/13)/h**1))**(-9) assuming h is positive.
h**(525/13)
Simplify (o*o**(1/7)*o**(8/3)/o)/(o**(2/9))**(-13) assuming o is positive.
o**(359/63)
Simplify (a**(-3/11)/a**(-1/2))**30 assuming a is positive.
a**(75/11)
Simplify (g**(-21)/(g**(11/4)/g))/(g/g**(-2/9))**(2/63) assuming g is positive.
g**(-51685/2268)
Simplify w**(11/5)*w*w**(3/4)*(w/w**(1/9))**22 assuming w is positive.
w**(4231/180)
Simplify (o**(-2/9))**15*(o**3)**(-2/19) assuming o is positive.
o**(-208/57)
Simplify (x*(x*x**19)/x*x)/x*x**(-11/6)*(x**5)**7 assuming x is positive.
x**(319/6)
Simplify q**(-5/4)*q**0*q**5*q*q*q**(-11) assuming q is positive.
q**(-21/4)
Simplify ((n/(n**(5/4)*n*n)*n**(-2/19))/(n**(-6/7)/(n*n**(-2/7))))**(2/123) assuming n is positive.
n**(-139/10906)
Simplify (a**(-1/4))**(-3/31)/(a**(2/7))**(-27) assuming a is positive.
a**(6717/868)
Simplify (b**5*b*b/b**(-3/2))/(b*b*(b/(b*b*b**5*b))/b*b*b/b**(-6/11)) assuming b is positive.
b**(263/22)
Simplify z*z**(-7/5)*z**(-1/4)*z*z**(-13/2)*z*z**(-1/9) assuming z is positive.
z**(-947/180)
Simplify ((z**(-1/3))**(-39)*(z**(2/9)/z)/(z/(z/(z/z**5))*z))**(8/11) assuming z is positive.
z**(1096/99)
Simplify (m**(-6))**(-1/5)*(m*(m/m**(2/15))/m)/(m*m**(2/23)) assuming m is positive.
m**(338/345)
Simplify (d**(-1/10)/d**(2/5))/(((d/d**(-14)*d)/d*d*d)/d*d/((d/((d*d*d*(d*d/((d*d/d**9)/d))/d*d)/d))/d)*d) assuming d is positive.
d**(-61/2)
Simplify (((o*o/(o/((o**(-2/55)/o)/o)))/o)/o**12)**(-1/5) assuming o is positive.
o**(772/275)
Simplify l**11*(l/(((l*l**(-1))/l)/l))/l*(l**(-5))**14 assuming l is positive.
l**(-57)
Simplify (((((z*z**(1/7)*z)/z)/z)/z**(-5))/(z/z**(-2/3)*z)**(-2/27))**(2/17) assuming z is positive.
z**(6056/9639)
Simplify u**(-12)*u**5*u*((u/(u/(u*u/(u*u*u*u**(-2/17)))))/u)**(3/14) assuming u is positive.
u**(-762/119)
Simplify (((d/(d*d*(d*(d*d**(-2))/d)/d*d*d*d))/d)/d)**37/((d**(-2/9)*d)/d)**(3/7) assuming d is positive.
d**(-3106/21)
Simplify (d/((d**6/d)/d)*d/(d/((d**(-4)/d)/d)))/(d*d**(-10/7)*d/(d*d**(-9))) assuming d is positive.
d**(-123/7)
Simplify (((u/(u/(u**(-3/16)/u)))/u)/(u**7*u))/(u/u**(-3/10)*u**7) assuming u is positive.
u**(-1479/80)
Simplify ((l**(-8/3)/(l/(l**(5/3)*l)))**(-2/55))**(-2/15) assuming l is positive.
l**(-4/825)
Simplify ((m/m**(-2/15))/(m/(m**(-1)*m))*m**(-2/13)*m**1*m)**(5/2) assuming m is positive.
m**(193/39)
Simplify ((m**32/(m/m**(-3/5)))**(-4/7))**(-11) assuming m is positive.
m**(6688/35)
Simplify ((r**(-7)/r)/r**(-2/21)*r**(-6)/r*r**(1/4))**(-44) assuming r is positive.
r**(13541/21)
Simplify ((o**(-1/9)*o)/o)**(8/13)/(o**(-1/11)*o**(4/5)/o) assuming o is positive.
o**(1432/6435)
Simplify (w**4*w/(w*w**6))/(w**19*w**(-15)) assuming w is positive.
w**(-6)
Simplify (v**(-4/13)/v*v)**(-2/27)*(v**(-9/7)*v)/v**8 assuming v is positive.
v**(-20302/2457)
Simplify m**(1/7)/(m**(-3)/m)*(m/(m/m**(-2/9)))**(-37) assuming m is positive.
m**(779/63)
Simplify ((t**(-5)*t)/t*t/t**(-3/4)*(t/(t**7/t))/t*t**4)**(-48) assuming t is positive.
t**252
Simplify v**15/v**27*v**(-12)*v*v**15*v*v assuming v is positive.
v**(-6)
Simplify (y**3*y/(y*(y*y**(-3/4))/y*y)*y**(1/5)*y**(-6/7))**16 assuming y is positive.
y**(1172/35)
Simplify (((l*l**2)/l*l*l**(-1/8))**(-7))**(-3/20) assuming l is positive.
l**(483/160)
Simplify ((y/y**21*y)/y**(1/35))/(y**(8/7)*(y/(y**9*y))/y) assuming y is positive.
y**(-356/35)
Simplify (r*r**2)**20/(r/(r*r/r**(2/11)))**(2/11) assuming r is positive.
r**(7278/121)
Simplify ((((a/(a*a**7))/a)/a*(a/(a*a/(a*a*a*a**(4/5))))/a)/(a/(a*a*a**(-2/5)*a*a*a))**(-4/3))**(8/3) assuming a is positive.
a**(-32)
Simplify (h**(5/3)*h**32)/(h/h**1*h/h**(-25)) assuming h is positive.
h**(23/3)
Simplify (q**(1/11)*q/(q**(-3/29)/q))/((q**(12/11)/q)/(q*q**(-17)/q)) assuming q is positive.
q**(-432/29)
Simplify (((k*(k/(k/k**(-3))*k)/k)/k)/k*k*k**4)/(k*(k/(k*k**(1/4)*k))/k*k**(-1/11)) assuming k is positive.
k**(103/44)
|
{
"pile_set_name": "DM Mathematics"
}
|
24972?
-24972
Do -5106 and -4123 have the same value?
False
Is -1 at most as big as -1/2738340?
True
Which is greater: 167345 or -12?
167345
Which is greater: 145163 or 0.03?
145163
Are -0.0058857 and -1/2 non-equal?
True
Is 1286/391 bigger than 2?
True
Which is bigger: -1509 or 1.4?
1.4
Is 3086099 >= 3086099?
True
Which is greater: -0.1136837 or -0.1?
-0.1
Which is bigger: 1/57099 or -1?
1/57099
Which is smaller: -8022731 or -8022732?
-8022732
Is 3/226 != 213.9?
True
Does -4850/221 = -21?
False
Is 0 smaller than 1/618102?
True
Which is bigger: -53/2381 or -1?
-53/2381
Is -1.257 at most as big as 40?
True
Which is bigger: 0.66 or 1422?
1422
Which is smaller: 14491 or 14490?
14490
Is -6/132097 at least as big as -1?
True
Which is greater: 3305/148 or 21?
3305/148
Which is bigger: -75 or -173?
-75
Which is smaller: 1859 or 0.7?
0.7
Is -0.6 <= -0.8153?
False
Is -539 at least -4858/9?
True
Which is smaller: -2233/5 or -5/6?
-2233/5
Which is smaller: 37742 or 1/3?
1/3
Which is smaller: -335 or -0.001?
-335
Is -443855/6 != -73976?
True
Is -2/23 < -87.2?
False
Which is smaller: -11 or -0.051115?
-11
Which is bigger: -1 or -50/6907?
-50/6907
Which is bigger: 1.108 or 0.2?
1.108
Is -2074 less than -1978?
True
Is -1/178 <= -26.11?
False
Is -74 at least as big as 0.379?
False
Does -925 = -565?
False
Does -1571777 = -1571776?
False
Which is greater: 1641497 or 1641500?
1641500
Is -2110093 bigger than -2110093?
False
Which is smaller: -7511 or -52586/7?
-52586/7
Which is bigger: 80 or 2639/33?
80
Are 70423 and 70430 equal?
False
Is 35883 < 35881?
False
Which is bigger: 3/85801 or 1?
1
Which is smaller: 1 or 472/359?
1
Which is bigger: 6483 or 6456?
6483
Which is bigger: 19585 or 19583?
19585
Are -53/329 and 0 non-equal?
True
Is 432789 greater than 432788?
True
Which is greater: 1 or -6/18541?
1
Which is smaller: 376 or 21415/57?
21415/57
Is -131300 greater than -131301?
True
Which is greater: -5378 or 3/7?
3/7
Which is smaller: -293766 or -293763?
-293766
Is 0.5241 at most -4/3?
False
Is 22913 less than 0?
False
Which is greater: 0.01 or 3/47?
3/47
Which is bigger: -1171 or -1183?
-1171
Is -1/211253 equal to -1?
False
Is -6 bigger than 26094?
False
Is -32/859 != 1?
True
Do 2536 and -99 have different values?
True
Which is greater: 4/351483 or 0?
4/351483
Which is smaller: -946 or -617?
-946
Which is smaller: 48 or 105?
48
Is 1/2365755 at least as big as 0?
True
Is -63301 at most as big as -63301?
True
Is 3.4 at least as big as 11492?
False
Are -1600 and -5.1 equal?
False
Is -15100/33 greater than -2?
False
Which is smaller: -4263 or -173?
-4263
Is 58193 at most 232767/4?
False
Is 1327.9 greater than 0.01?
True
Which is bigger: -2428 or -493?
-493
Is 509 less than or equal to 503?
False
Which is smaller: 28 or 1.8376?
1.8376
Which is smaller: -1378 or -1479?
-1479
Is -511559/6 > -85259?
False
Which is smaller: -3/38948 or -1?
-1
Is -1.411 != -15?
True
Is 55838 greater than 2?
True
Which is greater: -3 or -219553/5?
-3
Which is smaller: -7007 or -7?
-7007
Which is greater: -63081 or -63058?
-63058
Are 1696253 and 1696251 unequal?
True
Which is smaller: 182071 or 182070?
182070
Is -1/836 at least as big as 5/4?
False
Which is greater: 0 or 1/65211?
1/65211
Is 0 at most -2/30865?
False
Is 1/3759 smaller than 79?
True
Is -292735 equal to -292736?
False
Which is bigger: -70.599 or 0.1?
0.1
Which is greater: 27 or -2265/22?
27
Do 507/86 and -1/2 have the same value?
False
Is -41.99 equal to -0.099?
False
Which is smaller: 2.9 or 1904/27?
2.9
Is -1792 less than -1837?
False
Is 556555 at most as big as 556556?
True
Which is smaller: -254 or -291?
-291
Is -5390 <= -5388?
True
Are 0 and 9/520 equal?
False
Is -941 smaller than -790?
True
Which is greater: -49 or -10.015?
-10.015
Is -1605 > -1586?
False
Which is smaller: -3334 or -45?
-3334
Which is greater: 17/1829 or 0?
17/1829
Is -2/4097989 < -1?
False
Is 488/291 less than 1?
False
Is -5690 != -5697?
True
Which is smaller: 32/9 or -165?
-165
Which is bigger: -5 or -253/2?
-5
Which is smaller: 99484 or 99481?
99481
Which is smaller: -101197 or -303587/3?
-101197
Which is bigger: -6069 or -6040?
-6040
Which is smaller: 35975 or 35976?
35975
Is -563 not equal to -386?
True
Which is smaller: -7395414/11 or -672310?
-7395414/11
Is -8830 at least as big as -8831?
True
Which is greater: -4415 or -88319/20?
-4415
Which is smaller: 458 or -682/15?
-682/15
Is 2/5 != -2049742?
True
Is -4/803 greater than -2?
True
Is -1 at most -103/22387?
True
Which is bigger: 17757/7 or -2/3?
17757/7
Is -74 < -424?
False
Is -87746 > -87743?
False
Is 35608 >= 35606?
True
Does 26546/57 = 467?
False
Which is smaller: -741 or -4453/6?
-4453/6
Is -6/3097 at most as big as 52?
True
Which is smaller: -335/126 or -2?
-335/126
Which is bigger: -2571/124 or -22?
-2571/124
Which is smaller: 3770608 or -0.1?
-0.1
Is 40357 less than 40357?
False
Which is smaller: -1/9 or 3625.94?
-1/9
Is -4910 smaller than -4899?
True
Is 72235 less than 72280?
True
Which is greater: -10 or 8530?
8530
Do 942 and 10354/11 have the same value?
False
Which is smaller: -7785 or -7784?
-7785
Is 35992/3 <= 11998?
True
Which is smaller: -57/5 or -2582?
-2582
Is 1 > 17/1697?
True
Which is smaller: 0 or -515863?
-515863
Is -16062 equal to -0.1?
False
Which is smaller: 53741 or 53746?
53741
Is -93268 != -93262?
True
Which is bigger: 9901292/3 or 3300432?
3300432
Do 13 and 9054/691 have the same value?
False
Which is greater: -2/25 or 252420?
252420
Which is greater: 2450776 or 12253887/5?
12253887/5
Which is bigger: 869 or 906?
906
Is -280 smaller than 1213?
True
Is -1/3 less than 1994279?
True
Which is smaller: -11469 or -57341/5?
-11469
Which is greater: -1257.51 or 0?
0
Are 15/195293 and 1 non-equal?
True
Is -85 equal to -352?
False
Which is smaller: -1316 or -13?
-1316
Is 2 smaller than 797/397?
True
Which is smaller: 495 or 391?
391
Is -16948/287 greater than or equal to -58?
False
Does 1 = 3/36454?
False
Which is bigger: -92/53 or -2?
-92/53
Is -12402 at least -0.168?
False
Is 30946 less than or equal to 30946?
True
Which is greater: 732 or 27120/37?
27120/37
Which is bigger: -12601 or -12602?
-12601
Is -18274 at least -217?
False
Which is bigger: 539455 or 8?
539455
Which is smaller: 1 or 4/423785?
4/423785
Are -59390 and -59392 unequal?
True
Which is smaller: 20019 or 20009?
20009
Which is smaller: -118815 or 9?
-118815
Are 9316 and 9314 nonequal?
True
Is -73277 equal to -73284?
False
Is -13/12063 <= 1?
True
Is 1 < -3/23863?
False
Is 880/2183 less than -1?
False
Which is smaller: -770 or -705?
-770
Is 9 at most as big as 203?
True
Which is bigger: 0 or -1459/16?
0
Is 753/2425 less than or equal to 1?
True
Is -453 less than 405?
True
Is 19/32 at least as big as 294?
False
Is 2 >= 2780?
False
Which is smaller: 645 or 567?
567
Which is greater: 1404948 or 1404945?
1404948
Which is bigger: 17973 or 17981?
17981
Is 24183 smaller than 24194?
True
Is 1 less than or equal to -109/2970?
False
Is -0.2 not equal to -641/21?
True
Is 394815 at least as big as 394813?
True
Which is smaller: -0.1 or 53/91?
-0.1
Which is smaller: 43018/75 or 575?
43018/75
Is 103/6504 less than or equal to -1?
False
Are 10.6 and 262 equal?
False
Is -16594 <= -16590?
True
Which is smaller: 84219/10 or 8421?
8421
Which is smaller: -2941/33 or -89?
-2941/33
Which is bigger: -4126 or -4139?
-4126
Is 1790730 at least as big as 1790730?
True
Which is greater: 3290 or 31?
3290
Which is smaller: -65072 or -65073?
-65073
Which is bigger: -3 or 181851/2?
181851/2
Are -7 and 44 unequal?
True
Which is smaller: 1/76820 or -1?
-1
Which is greater: 125488 or 125489?
125489
Which is smaller: 309 or -95?
-95
Is 2/9 smaller than -34/1729?
False
Which is greater: -2314 or -6941/3?
-6941/3
Do 260397/4 and 65098 have the same value?
False
Which is smaller: -150448 or -150447?
-150448
Is -2 not equal to -8971?
True
Is -1699169 != -1699169?
False
Which is greater: 4/174505 or -1?
4/174505
Which is bigger: 0 or -40216?
0
Which is smaller: 301/8656 or 1?
301/8656
Is -1/5 >= 45.7141?
False
Which is bigger: -5 or -1875/331?
-5
Is -2 <= -8.4057?
False
Is 73 equal to 2/2245?
False
Which is smaller: 244 or 234?
234
Is 2990 at most as big as 2925?
False
Which is smaller: 1314225/4 or 328555?
328555
Is 13 less than -390?
False
Which i
|
{
"pile_set_name": "DM Mathematics"
}
|
2)*(-2 - 2*z**3 - 2 + z**3).
-2*z**3 - 8
Expand -16*l**5 - 17*l**5 + 13*l**5 + (l**2 + 2*l - 2*l)*(-4*l**3 + 5*l**3 + l**3) - l**5 + 5*l**5 - 3*l**5.
-17*l**5
Expand (s - s + s)*(2*s + 0 + 0) + 0 - 7*s**2 + 0 + (-s - 3*s + 3*s)*(3*s - 2*s - 5*s).
-s**2
Expand (3 + 2*z**4 + z**4 - 2)*(3 - 3 + 2).
6*z**4 + 2
Expand (-c + 2*c + 2*c)*(-2*c - 5 + 0*c + 4).
-6*c**2 - 3*c
Expand (2*u - u + 0*u)*(-10 - 13*u**3 + 10) + (u**3 - 2*u**3 + 0*u**3)*(-2*u + 4 - 4).
-11*u**4
Expand (5 - 4 - 3)*(-5 + 5 + 5*a**3)*(-2*a - a + 5*a + (-2*a - 2*a + 3*a)*(2 - 1 + 0)).
-10*a**4
Expand (4*f**3 + 2*f**3 + 4 - 4*f**3)*(18 - 18 - f**2).
-2*f**5 - 4*f**2
Expand (0*y + y + y)*(-2*y + 1 - 1) + (0 + 0 - y)*(-1 + 5*y + 1).
-9*y**2
Expand (-2 - 3 + 3)*(-8 + 5 - 1)*(-3*f**4 + f**4 - f**4).
-24*f**4
Expand (3 - 2 + 4)*(-3 + 2 - 1)*(-4*z**2 + z**2 + 2*z**2).
10*z**2
Expand ((1 - 3 - 1)*(2 + 2 - 2) + 1 + 0 + 1)*(w + 1 - 1).
-4*w
Expand (4 - 7 + 2)*(-194*g**2 - 137*g**2 + 401*g**2).
-70*g**2
Expand (2*j - 4*j + j)*(-2*j**2 - 3*j**2 + 4*j**2)*(j - j + 2*j).
2*j**4
Expand (-4 - 3 + 1)*(5*q + 3*q - 5*q).
-18*q
Expand -8*z**2 + 7*z**2 + 8*z**2 - 6*z**2 + z**2 + 3*z**2 + (-4*z**2 + z**2 + 5*z**2)*(-3 + 1 + 0) + z**2 - 2*z**2 + 2*z**2 + 1 - 1 - z**2.
z**2
Expand (5 - 4*o - 2 + 7*o)*(-1 - 2*o**3 - o + o).
-6*o**4 - 6*o**3 - 3*o - 3
Expand 2*m**5 + 0*m**5 - m**5 + (2*m + 2*m - m)*(0*m**4 - m**4 + 4*m**4) - 3*m**5 + 3*m**5 + m**5.
11*m**5
Expand (-45 + r + 45 + 5*r**3)*(-r**2 + 5*r**2 - 3*r**2).
5*r**5 + r**3
Expand (1 - k - 1 + (2*k - 2*k - 2*k)*(-4 + 1 + 4))*(1 - 1 - 2*k)*(-3*k + 5*k + k).
18*k**3
Expand (-3 + 3 - 8*h)*(3*h**4 + 0*h**4 - 4*h**4 + (6*h + 0*h - 4*h)*(0*h**3 + 2*h**3 - h**3) - h**4 + h**2 - h**2 + h**4 + 0*h**4 - 3*h**4).
16*h**5
Expand (-2*j**2 - 3 + 4 + j**2)*(-2*j**2 + 5*j**2 + 0*j**2).
-3*j**4 + 3*j**2
Expand (18*s - 18*s - 20*s**2)*(3*s - 3*s + s + (-s + 2*s + 0*s)*(3 + 1 - 3)).
-40*s**3
Expand (14*r**2 - 14*r**2 + 7*r**2)*(0 + 0 + 3*r)*(0 - 2 + 0)*(0*r + 3*r - 4*r) + 4 - 4 - 2*r**4.
40*r**4
Expand 4*n - 4*n + 2*n + 2*n - 4*n + 4*n - 3*n - 2*n + 4*n + (-2 + 2 - 2*n)*(3 + 0 - 1) + 2*n + 2*n + 5*n + 2 - 2 - 2*n.
6*n
Expand (3 - 3 - i)*(3*i**2 + i**2 - 3*i**2) + 2*i**3 + 0*i**3 - 4*i**3 + i**3 - 2*i**3 - i**3 - 2*i**3 + 3*i**3 - 14*i**3 + i**3 + 3*i**3 - 3*i**3.
-17*i**3
Expand (2*n + 5*n - 2*n)*(0*n**2 + 2*n**2 - 3*n**2) + 0*n**3 - 4*n**3 + 3*n**3 + (-4*n + 3*n + 2*n)*(-4*n**2 + 3*n**2 + 3*n**2).
-4*n**3
Expand (-2*a**3 + 2*a**3 - a**4)*(-9 - 24 - 29).
62*a**4
Expand (-5*z**4 + 4*z**4 + 0*z**4)*(0*z + 2*z + 590 - 589).
-2*z**5 - z**4
Expand (16 - 10 + 10)*(1 - 1 + 2*i) - 2 + 1 + i - 3*i.
30*i - 1
Expand (-22 - 36 + 10)*(0 - s + 1 + 1).
48*s - 96
Expand b**2 + b**2 + 0*b**2 + (b - b - 2*b)*(2*b - 5*b + 0*b) + (-2*b - b + 5*b)*(-3*b + b + 0*b) - 2*b**2 - 3*b**2 + 7*b**2.
6*b**2
Expand -c**5 + 0*c**5 + 0*c**5 + (-2 - 1 - 1)*(2*c**5 + c**5 - 4*c**5) + 5*c**5 - c**5 - 2*c**5.
5*c**5
Expand (1 - 2*j**3 - 1)*(0*j + 4*j - 6*j)*(1 - 3 + 5).
12*j**4
Expand 6 + 3*p**2 - 6 + (4 - 4 + 3*p)*(2*p + 5*p - 6*p) + 2 - 2 - 2*p**2 + 2*p**2 + p**2 - 4*p**2 + (0 + 2*p + 0)*(-2*p + 2*p - 2*p).
-p**2
Expand -3*o**5 + o**2 - o**2 - 3*o**4 + 2*o**5 + 3*o**4 + (3*o**4 + 4*o**4 - 5*o**4)*(-4*o + 3*o + 4*o).
5*o**5
Expand -21*a**2 - 15 + 15 + (2*a - 3*a - a)*(-a + 2*a + 0*a) - a**2 + 0*a + 0*a.
-24*a**2
Expand (-3*u**3 + 2*u + 8*u**3 - 4*u)*(2 + 3 - 3).
10*u**3 - 4*u
Expand d - 2*d - d + (-d - 2*d + d)*(-3 + 7 - 2) - d + 2*d - 2*d - 1 + 4*d - 9*d - 8*d.
-20*d - 1
Expand (2*a**2 + a**2 - 2*a**2)*(-5*a + 2*a - 2*a + (0*a + a - 2*a)*(-3 + 4 - 3)).
-3*a**3
Expand (-z + 2*z + z)*(z + 0*z - 6*z).
-10*z**2
Expand 3*c**4 + c**4 - 3*c**4 + (-2*c + 2*c + 2*c**2)*(-2*c**2 + 4 - 4) + (0*c - 5*c + 4*c)*(-5*c**3 + 4*c**3 + 0*c**3) + 0*c**4 - 6*c**4 + 0*c**4.
-8*c**4
Expand -2*c**4 + 3*c - 3*c + (6*c**3 - 3*c**3 - c**3)*(-6*c + 3*c + 2*c) + (c - 3 + 3)*(c**3 - c**3 - c**3).
-5*c**4
Expand -o - o + 0*o + (0 + 3 - 1)*(-o - 2 + 2) - o + o - o - o + 5*o - 2*o + (-4 - 2 + 5)*(-o + 4*o - 2*o).
-4*o
Expand (-3 - 4 + 2)*(0 - j + 0)*(-2*j - 2*j + 3*j).
-5*j**2
Expand (1 + p - 1)*(-6 - 2 + 1).
-7*p
Expand -27*p**2 - 7*p**3 + 27*p**2 + (-4 + 4 - 2*p)*(0*p + 2*p**2 + 0*p).
-11*p**3
Expand 2*o + 2 - 2 + (3 - 2*o - 3)*(3 - 2 + 0) + 6*o + 44 - 44.
6*o
Expand (2 - 2 + i)*(-3*i + 4*i - 2*i) + (3*i + 2*i - 8*i)*(4*i - 3*i - 2*i).
2*i**2
Expand (-19*x + 25*x + 14*x)*(-3*x**2 + 4*x**2 + x**2).
40*x**3
Expand (-3 + 2 - 2)*(0 + 0 - 1)*(-4*o**5 + 9*o - 9*o).
-12*o**5
Expand -4*u - 3*u**3 + 4*u - 2*u**3 - u**3 + 5*u**3 + (0*u**3 + u**3 - 2*u**3)*(2 + 0 + 2).
-5*u**3
Expand (-1 - s + 1)*(-6 + 6 + 7).
-7*s
Expand (2*a - 5*a + a)*(68*a**2 - 68*a**2 + 9*a**3).
-18*a**4
Expand 0*u**5 + 2*u**5 + 0*u**5 + (0 + 0 - u**2)*(u**3 - u**3 - u**3) + 10*u - 4*u**5 - 10*u.
-u**5
Expand (0*n**2 - 2*n**2 + n**2)*(50 + 87 - 22).
-115*n**2
Expand (3*l - 2*l - 2*l)*(-1 + 0 + 0)*(3*l - 13*l + 9*l)*(-1 + 1 - 3*l**2).
3*l**4
Expand (9*d**2 + 2 - 7*d**2 + 2)*(2 + 2 - 3).
2*d**2 + 4
Expand ((-4 + 4 + 2)*(4*b - 2*b + b) + 5*b - 2*b - 2*b + 4*b + 0*b - 3*b)*(-6*b**2 + b**2 + 4*b**2).
-8*b**3
Expand -y**3 + 2*y**3 + y**3 + (0*y**2 - 2*y**2 + 0*y**2)*(-3*y - 5*y + 4*y) - y - y**3 + y.
9*y**3
Expand (1 - 1 - 1)*(2 + 1 - 5)*(4*k - 5*k + 2*k).
2*k
Expand (-18 - 3 + 1)*(2*y - y - 2*y).
20*y
Expand -i**2 + i**2 + 2*i**3 - 3*i**3 + 2*i**3 + 3*i**3 + (1 + 2*i - 1)*(6*i**2 + 0*i + 0*i).
16*i**3
Expand (1 + 2*h - 1)*(-1 - 3 + 3) + (1 - 1 + h)*(2 - 4 + 1).
-3*h
Expand (-2*c**2 + 3*c**2 + c**2)*(-7*c + c**2 + 7*c) + 3*c**4 + 2*c**4 - 4*c**4 - 3*c**4 + 2*c**4 - c**4.
c**4
Expand (-59*a**2 - 12*a**2 + 12*a**2)*(-a + 2*a + a).
-118*a**3
Expand 3*s**3 - 3*s**3 + s**5 + (2*s**2 + s**5 - 2*s**2)*(1 + 0 + 1) - 40*s**2 - 33*s**2 - 2*s**5 + 45*s**2.
s**5 - 28*s**2
Expand (2*p - 3 - 3*p + 1)*(5 - 1 + 11).
-15*p - 30
Expand (-h + 2 - 3 + 2*h)*(12 + 8*h - 12).
8*h**2 - 8*h
Expand (-5*q + 0*q + 4*q)*(-4 + 3 + 2) + (-1 - 3 + 5)*(5 - 5 - q).
-2*q
Expand (-j - 3*j + 2*j)*(-2*j - 5*j + 4*j)*(-3 + 8 + 6).
66*j**2
Expand (m - 14 + 27 - 2*m)*(2 - 3*m**2 - 2).
3*m**3 - 39*m**2
Expand (-12*x**5 + 17*x**5 - 12*x**5)*(0 + 4 - 7).
21*x**5
Expand (3*i**4 + i**4 - 2*i**4)*(5 + 1 + 2).
16*i**4
Expand (2*c**2 + c**2 - c**2)*(0 + 0 + c) - 126*c**3 - 141*c**2 + 141*c**2.
-124*c**3
Expand (-v - 3 + 3 + (1 - 1 + v)*(1 - 9 + 0))*(2*v + 0*v - v).
-9*v**2
Expand (3*u + u - 3*u)*(284*u**2 - 1 + 135*u**2 + 1).
419*u**3
Expand (-4*z - 2 + 2 + (0 + 0 + 3)*(z - 3 + 3))*(-4 + 2 + 0).
2*z
Expand (-2*c**2 + 2*c**3 + 2*c**2)*(-54*c**2 - 53*c**2 + 108*c**2).
2*c**5
Expand 78*d - 31*d - 33*d + (4 + d - 4)*(-1 + 4 - 4) + 3*d - 5*d + d.
12*d
Expand (5*k**3 - 4*k + 4*k)*(-3*k**2 + k**2 - k**2 + (-3*k + 2*k + 3*k)*(-6*k + 3 - 3)).
-75*k**5
Expand 16*i**4 + 34*i**4 - 13*i**4 + 3*i**4 - 2*i**4 - 2*i**4 + (-2*i + 3*i - 3*i)*(-2*i - i**3 + 2*i) + 2*i - 2*i + 2*i**4.
40*i**4
Expand (0 + 2 - 3)*(u**2 - u**2 - u**2)*((u + 0*u - 2*u)*(0*u**2 - 4*u**2 + 2*u**2) - u**2 + u**2 + u**3).
3*u**5
Expand -5*z**3 + 0*z**3 + 2*z**3 + (1 + 1 + 0)*(-3*z**3 - z**3 + 2*z**3) + 0*z**3 - 3*z**3 - z**3.
-11*z**3
Expand (0*c + 2*c - c)*(-2*c**4 + 3*c**4 + c**4) + 4*c**5 - 2*c**5 - c**5 + 8401 - 4*c**5 - 8406 - 10*c**5 + (-2*c - c + c)*(4*c**4 - c**4 - 2*c**4).
-13*c**5 - 5
Expand (3*w - 2*w**2 - 3*w)*(-2*w**3 + 3*w**3 - 3*w**3) - 2*w**2 + 2*w**2 - 2*w**5 + (-2 + 2*w**4 + 2)*(-2*w - 3*w + 6*w).
4*w**5
Expand (-2*t - t + 2*t)*(-t + t + t)*(-5*t - 22*t + 7*t).
20*t**3
Expand -u**2 + 4*u**2 - 5*u**2 + (0 - u + 0)*(5 - 3*u - 5) + 0*u**2 + 3*u**2 + u**2 + (2 + 1 - 2)*(-3*u**2 + 4*u**2 - 2*u**2).
4*u**2
Expand (10 + g**2 - 10 + 3*g)*(-g + 0*g + 3*g)*(1 + 3 - 2).
4*g**3 + 12*g**2
Expand (4 - 2 - 1)*(-2*g**2 + 6*g**2 - 2*g**2) + (g + g + 0*g)*(4*g - 2*g - 4*g).
-2*g**2
Expand (-9*h - 4*h + 19*h)*(h + 1 - 1).
6*h**2
Expand (-3 + 3 - l)*(4*l - 23 + 23) + l**2 - l**2 + 2*l**2 + (-l**2 + 5*l**2 - 2*l**2)*(3 - 3 - 2).
-6*l**2
Expand (-2 + 5 - 1)*(l**5 + l**2 - l**2) - 13*l**5 - l**4 - 155*l + 155*l.
-11*l**5 - l**4
Expand (3*i + 3*i - 3*i)*(0 - 3 + 4).
3*i
Expand (2*a - a + a)*(-3 + 3 + a - a + 4*a - a + (4*a - 3*a - 3*a)*(2 - 3 + 3) + 1 - 1 - a)*(4 - 2*a - 4).
8*a**3
Expand (2 - 1 + 0)*(-q + q + 2*q**2).
2*q**2
Expand (2*n - 3*n - n)*(-2 - 1 + 1) - 21*n - 38*n
|
{
"pile_set_name": "DM Mathematics"
}
|
t of 0.7 and -12668160.
-8867712
Multiply -123.72519 and 0.31.
-38.3548089
Multiply 0.4 and -26763756.
-10705502.4
Multiply 4 and 132707.005.
530828.02
Work out 359612 * -1.217.
-437647.804
Product of 15425087 and 0.5.
7712543.5
What is 323 times -36579?
-11815017
Product of -2 and -2329956.
4659912
-11 times -6206251
68268761
-575636*83
-47777788
What is the product of -3746.3 and 0.031?
-116.1353
-2862211 * -0.9
2575989.9
Work out -2467 * 55.309.
-136447.303
Multiply 347.6 and 1.219.
423.7244
3 * 204474733
613424199
Calculate -0.033*-0.014631.
0.000482823
Work out -3.2751 * -22.
72.0522
-93.797495 * 3
-281.392485
What is 6 times -85.024?
-510.144
Work out -13474511 * -9.
121270599
Product of -0.63 and 202.768.
-127.74384
What is -0.14 times 132176?
-18504.64
What is the product of 15602084 and 2?
31204168
Product of 1025847 and -1.5.
-1538770.5
What is the product of 121603 and -68?
-8269004
-4.9396*7.979
-39.4130684
Work out -2850 * -9617.
27408450
Work out 2635.4 * 75.8.
199763.32
What is 0.3 times 271.45092?
81.435276
-873.2 times -0.0021
1.83372
Multiply -24 and -2.11382.
50.73168
Work out 0.020975 * 134.5.
2.8211375
Multiply 1789399.62 and 0.1.
178939.962
What is the product of 0.6 and -27588083?
-16552849.8
Product of 0.07 and -31.02441.
-2.1717087
0.5*-0.598795
-0.2993975
Calculate 68290014*-0.5.
-34145007
Multiply 15330.4593 and -0.1.
-1533.04593
Calculate -7*-0.35750023.
2.50250161
What is the product of -0.394 and 3.3?
-1.3002
0.08*-131447917
-10515833.36
-0.0059 * 3453
-20.3727
-13 * 110.6248
-1438.1224
Calculate -0.1*1.1850714.
-0.11850714
Multiply 130347 and 0.4.
52138.8
-8.48 times -37568
318576.64
4391 * 10963
48138533
-5676.44 * 12
-68117.28
Work out -0.964913 * -2.
1.929826
Calculate 2.4101925*5.
12.0509625
Calculate 0.333758*-688.
-229.625504
Work out -75 * -853.93.
64044.75
Multiply -186 and 21.578.
-4013.508
-41668*97.5
-4062630
What is the product of 0.3 and -4844417?
-1453325.1
-1.157*1872
-2165.904
Product of -251.52 and 0.0689.
-17.329728
0.5 times -39.011593
-19.5057965
Multiply -4384261 and 0.15.
-657639.15
Product of 179.4 and 150509.
27001314.6
Calculate 219919183*-5.
-1099595915
What is the product of 4 and -333790208?
-1335160832
Product of -11047 and -0.0602.
665.0294
Calculate -0.4*-15263375.
6105350
Multiply -5.82446 and -0.141.
0.82124886
-2 * -38191421
76382842
What is the product of 0.38 and -932081?
-354190.78
-75878209*-0.9
68290388.1
-1497040 times 357
-534443280
1061 times 266.6
282862.6
Calculate 3*-191535.3.
-574605.9
Product of -0.5022 and 0.12716.
-0.063859752
Calculate 938*1102.
1033676
Calculate -0.35*1304006.
-456402.1
0.2 * -70907191
-14181438.2
What is 88898539 times -3?
-266695617
Multiply 4939 and 1095.
5408205
-6754*-1.1951
8071.7054
-0.287163 times 44
-12.635172
Product of -5 and -22.41523.
112.07615
Calculate 47868*2.0752.
99335.6736
-261695*-2668
698202260
What is -818007.9 times -0.5?
409003.95
150.5 * -231620
-34858810
-3.3 * 46206
-152479.8
Product of -5183889 and 1.
-5183889
Work out 7 * 14244215.
99709505
31267.66 * 8
250141.28
-0.27 * -20.3632
5.498064
Work out -0.04 * 0.01495552.
-0.0005982208
Calculate -3.47417*22.
-76.43174
-236*-3164.496
746821.056
-2.56 times 25215
-64550.4
0.0714 * 1390.2
99.26028
Calculate -4663*-134162.
625597406
Multiply -0.2 and -19135604.
3827120.8
Product of 0.19 and 9445.796.
1794.70124
2.8 * -170990
-478772
Product of -6.37 and 10.27849.
-65.4739813
Calculate 24930924*0.1.
2493092.4
What is -84382 times 363?
-30630666
-2459730 times 81
-199238130
Multiply -1.1069 and -0.186.
0.2058834
What is -17 times 39050731?
-663862427
Work out -35.6 * -27109.
965080.4
What is 124554846 times -1?
-124554846
-0.0504*-1074
54.1296
What is the product of 19391 and 1.76?
34128.16
What is the product of 0.03 and -7462158?
-223864.74
-283.5386 * 7
-1984.7702
What is the product of 4 and 2.1713056?
8.6852224
What is -0.2 times -2074459?
414891.8
Work out -25.763 * -8.3.
213.8329
Work out 2.2 * 327695.
720929
-209676688*-1
209676688
What is -4557 times 0.09552?
-435.28464
Product of 10.3754 and -61.
-632.8994
Multiply 109 and -1.5608.
-170.1272
What is -17 times -8199384?
139389528
What is the product of 1560 and -2.46?
-3837.6
Product of -1 and 27519.852.
-27519.852
Work out -80 * -0.06871991.
5.4975928
What is -32.3554 times 5?
-161.777
Calculate 34*0.0106178.
0.3610052
Product of 2 and 3507.7099.
7015.4198
-2 * 167388915
-334777830
355.8 * -14180
-5045244
What is -2701237 times 12.3?
-33225215.1
Work out -4.8 * -3056.421.
14670.8208
Product of -2 and 48702.6.
-97405.2
Calculate 3.9458*-1092.
-4308.8136
-7*16784472
-117491304
Calculate 23671.87*-8.
-189374.96
Calculate 8421*2304.
19401984
What is the product of 3 and 0.694581?
2.083743
Work out 1223856 * 0.
0
Multiply 0.347 and 3.8977.
1.3525019
Calculate 21888*-49.01.
-1072730.88
944736 * -0.08
-75578.88
What is the product of 19 and -1.26778?
-24.08782
Product of -93978064 and -0.4.
37591225.6
-1.1 * -736894
810583.4
Calculate -12*1139023.
-13668276
-20 times -15582244
311644880
What is the product of 3 and 30910575?
92731725
Work out 31 * -103940.
-3222140
Multiply -4428 and -143.9.
637189.2
107576 times -31
-3334856
1 * 3577944
3577944
Calculate -0.015867*-4159.
65.990853
What is -3136.219 times -5.4?
16935.5826
Product of -0.18 and -1.94082.
0.3493476
Calculate 28892.4*-4.42.
-127704.408
-23 * -12.86915
295.99045
Multiply -2207 and 16.614.
-36667.098
2363070 times -2
-4726140
Product of -1.9 and 26356.6.
-50077.54
What is 1142 times -170119?
-194275898
Work out -0.0338 * -155727.
5263.5726
Multiply 1405 and 0.06857.
96.34085
Calculate -0.2*3906240.
-781248
What is -9540336 times 0.5?
-4770168
Multiply 0.292 and -0.12976.
-0.03788992
Work out -15378 * 22.3.
-342929.4
What is -0.0045408 times 41?
-0.1861728
Product of -130 and 50684.
-6588920
Multiply 103.8 and -6143.
-637643.4
Calculate 23553*14643.
344886579
Multiply -0.027973 and 0.0367.
-0.0010266091
Calculate 447*-3.1102.
-1390.2594
What is 59751 times -492?
-29397492
Multiply -33715793 and -1.
33715793
35261*-291
-10260951
What is the product of -136745837 and 0.4?
-54698334.8
What is the product of 126645920 and -0.2?
-25329184
-765 * -1390.19
1063495.35
553037231*-0.5
-276518615.5
Multiply 1915.0203 and 3.
5745.0609
Product of -0.1 and -0.39552118.
0.039552118
Multiply -13807 and -2384.
32915888
Calculate -5844*-10632.
62133408
What is 3.5961 times 2274?
8177.5314
Work out 0.061541 * 31.5.
1.9385415
Work out 121.3 * -195036.
-23657866.8
Product of 25.4426 and 0.02368.
0.602480768
-728 times -1348.7
981853.6
Work out -3828.4 * -2800.
10719520
Multiply 5110 and -2916.
-14900760
Multiply 0.07 and -5.9375045.
-0.415625315
Work out -1231380 * -2.1.
2585898
What is -0.3 times -0.11239263?
0.033717789
-195903.1 times 0.454
-88940.0074
What is the product of 25985956 and 0.5?
12992978
9414742 * -9
-84732678
What is the product of 139.577 and 47.5?
6629.9075
What is -3 times -2000825?
6002475
0.2 times 5308.94
1061.788
What is 0.27 times 95315?
25735.05
-697469*6
-4184814
Calculate -506438*32.6.
-16509878.8
-638243 * -7
4467701
-1112759 * -17
18916903
Product of 497.715 and -0.1.
-49.7715
What is the product of -0.9813 and -0.1161?
0.11392893
-0.62642*223
-139.69166
What is -0.04 times -48575150?
1943006
Work out -3.9 * 82212.
-320626.8
Multiply -13.6 and -152473.3.
2073636.88
Multiply -63239 and -2.5.
158097.5
What is 563.55 times 258?
145395.9
Work out 0.2 * -82463645.
-16492729
Work out 30 * -632.6.
-18978
What is the product of -1496110 and 7.4?
-11071214
What is 0.3 times 11297538?
3389261.4
Multiply 0.46413174 and 1.
0.46413174
Product of -18359.66 and -0.007.
128.51762
561847 * 3.68
2067596.96
Work out 0.08 * -107.791928.
-8.62335424
Work out 8.8 * -118035.
-1038708
Work out -2126 * -1237.3.
2630499.8
-3463191 times 4
-13852764
What is the product of -770 and 1.2807?
-986.139
Product of 5 and 0.059956211.
0.299781055
Work out -1.39 * -330802.
459814.78
Multiply 0.5 and -1.8136042.
-0.9068021
-6377 times -340.1
2168817.7
Multiply -214681837 and 2.
-429363674
266.3 times -372.182
-99112.0666
What is 194.7 times -0.10074?
-19.614078
Work out 0.2 * 374.77269.
74.954538
Product of -16.40672 and 10.
-164.0672
-0.5*-145641661
72820830.5
What is -0.45 times 957.21
|
{
"pile_set_name": "DM Mathematics"
}
|
-2, 3, 11913, -5 in descending order.
11913, 3, -2, -5
Sort -4, -2, -1085, -25 in ascending order.
-1085, -25, -4, -2
Sort -367, 1/2, -3/2, 5, 3.
-367, -3/2, 1/2, 3, 5
Put -4, 4, 240/11, 2/9 in descending order.
240/11, 4, 2/9, -4
Put 4, -9, 6, -5, -1377 in decreasing order.
6, 4, -5, -9, -1377
Sort 3, 9, 21, -24, -1 in descending order.
21, 9, 3, -1, -24
Sort 3/4, 10, -0.2, 0.4, 0.12 in descending order.
10, 3/4, 0.4, 0.12, -0.2
Sort 2, 1/2, -18.4, 0.1, 1/8, 1.06 in descending order.
2, 1.06, 1/2, 1/8, 0.1, -18.4
Sort -3485, 7, 2/11 in increasing order.
-3485, 2/11, 7
Put 41, -2, -6, 1 in increasing order.
-6, -2, 1, 41
Sort 5, 7, -2, 294 in descending order.
294, 7, 5, -2
Put -556, -2, -4, 2, -1 in descending order.
2, -1, -2, -4, -556
Sort 9, -5, 252, -2 in increasing order.
-5, -2, 9, 252
Sort 0.05, -3/7, -3, 2070, -4 in increasing order.
-4, -3, -3/7, 0.05, 2070
Sort -7, -23, -18, 13 in decreasing order.
13, -7, -18, -23
Sort -2, 7, -18, 1, 2, 3.
-18, -2, 1, 2, 3, 7
Sort -2, 7/5, 5.5, -1, -5 in descending order.
5.5, 7/5, -1, -2, -5
Sort 33, 0.3, 1/2, -6/989 in decreasing order.
33, 1/2, 0.3, -6/989
Sort -0.5, -37/4, -2.413.
-37/4, -2.413, -0.5
Sort 238, 3, 18 in decreasing order.
238, 18, 3
Sort -5, -0.0323, 298, 5.
-5, -0.0323, 5, 298
Put -4, -2, -6, -801, -76 in decreasing order.
-2, -4, -6, -76, -801
Put 2, 59, 8 in decreasing order.
59, 8, 2
Sort -1/2, 1/5, 32, 0.3, 329 in decreasing order.
329, 32, 0.3, 1/5, -1/2
Put -317, 1, 68 in ascending order.
-317, 1, 68
Sort 20.6, -211, -1/3.
-211, -1/3, 20.6
Put -1/12, -19.2, -3, 2/53, -1.2 in descending order.
2/53, -1/12, -1.2, -3, -19.2
Sort -1, -350297, 3, 0 in ascending order.
-350297, -1, 0, 3
Sort -16, -2, 213.
-16, -2, 213
Sort -0.075, 65, 2, 4 in ascending order.
-0.075, 2, 4, 65
Sort -5, 8095, 0.1 in descending order.
8095, 0.1, -5
Sort -890.9, -0.5, 2, -1 in decreasing order.
2, -0.5, -1, -890.9
Sort -0.318, -0.5, -0.2, 0, -592 in ascending order.
-592, -0.5, -0.318, -0.2, 0
Put 0, -5, 9, -2, -373, 5 in decreasing order.
9, 5, 0, -2, -5, -373
Put 4/5, -616, -54 in descending order.
4/5, -54, -616
Put -2007, 139.5, 1/3 in increasing order.
-2007, 1/3, 139.5
Put -2/17, 1/5, -412, -1/9, -11 in descending order.
1/5, -1/9, -2/17, -11, -412
Sort 1/8, 0.5, 31.8, 4, 29.
1/8, 0.5, 4, 29, 31.8
Put 1/55, 55, 0.3, -30, 3, -4 in decreasing order.
55, 3, 0.3, 1/55, -4, -30
Put -2, 4, 0, -1, -1918, -22 in decreasing order.
4, 0, -1, -2, -22, -1918
Sort -2, 10/9, -3/5, 266 in descending order.
266, 10/9, -3/5, -2
Put -227, 4, -619 in decreasing order.
4, -227, -619
Put 5, 2, -27, -3, 45 in decreasing order.
45, 5, 2, -3, -27
Put -9, -2.5, 0.5, -3/7, -24, -4 in descending order.
0.5, -3/7, -2.5, -4, -9, -24
Put 1, 5, 0.5, -3, 52971 in decreasing order.
52971, 5, 1, 0.5, -3
Put -6, -820, -4 in decreasing order.
-4, -6, -820
Sort -0.05624, -20, 3/2, 0.4 in increasing order.
-20, -0.05624, 0.4, 3/2
Sort -3, 0.064, 1/3, 0.2, 1, -0.01 in ascending order.
-3, -0.01, 0.064, 0.2, 1/3, 1
Sort -2, -11, -223.85.
-223.85, -11, -2
Sort -35.61, -14, 0 in decreasing order.
0, -14, -35.61
Put 57, 10045, 0.4 in increasing order.
0.4, 57, 10045
Sort -18, 3, -30, -4.
-30, -18, -4, 3
Sort 9, 4, 32, 0, -4 in descending order.
32, 9, 4, 0, -4
Sort 6, 934, -3, -0.2 in decreasing order.
934, 6, -0.2, -3
Put -2/7, -3/4, -2/53, -1/4, -0.69 in descending order.
-2/53, -1/4, -2/7, -0.69, -3/4
Put 7, 4, 25, 1, -3, 23 in increasing order.
-3, 1, 4, 7, 23, 25
Sort 0, 1, 231, 3, -131 in decreasing order.
231, 3, 1, 0, -131
Put 2/19, -0.5, 5, 76 in descending order.
76, 5, 2/19, -0.5
Put -12, 4, -3/2, -0.2, -6/13 in ascending order.
-12, -3/2, -6/13, -0.2, 4
Sort -30, 14, 4, 16.
-30, 4, 14, 16
Put 0, -5, 5, 227, -0.09 in decreasing order.
227, 5, 0, -0.09, -5
Sort -1.7, -2/5, -1650 in descending order.
-2/5, -1.7, -1650
Sort 4, 0.58, -3, -4, -2/13, -327.
-327, -4, -3, -2/13, 0.58, 4
Sort -6, 5381, -28 in decreasing order.
5381, -6, -28
Sort 54, -1/2654, -3/7, -3.
-3, -3/7, -1/2654, 54
Put -7, 0.4, 0.04, 1, -0.4 in ascending order.
-7, -0.4, 0.04, 0.4, 1
Put 0.1, 16, -117, 5 in increasing order.
-117, 0.1, 5, 16
Put -32, -2, 8, 3 in ascending order.
-32, -2, 3, 8
Sort -145, 15, -0.08, 3 in decreasing order.
15, 3, -0.08, -145
Put 10, -2/11, 2, 4/9, 0.4 in descending order.
10, 2, 4/9, 0.4, -2/11
Put 0, 2/7, 5877, -6, -3 in decreasing order.
5877, 2/7, 0, -3, -6
Put 4, 3, -5, -9, -388 in decreasing order.
4, 3, -5, -9, -388
Put 0, 8, -1, 7, 40 in decreasing order.
40, 8, 7, 0, -1
Sort -2, -3, 61, 4, 10, 1 in increasing order.
-3, -2, 1, 4, 10, 61
Sort -1, 6, -5429.
-5429, -1, 6
Sort 140181, -11, -0.3 in increasing order.
-11, -0.3, 140181
Sort -197, 114, -3 in decreasing order.
114, -3, -197
Sort -832644, 1/4, -5.
-832644, -5, 1/4
Sort -0.3, -4, -8.66, -0.5, 4 in decreasing order.
4, -0.3, -0.5, -4, -8.66
Put 20, 3, -6, -5, -17 in increasing order.
-17, -6, -5, 3, 20
Put -2, 52, 121 in descending order.
121, 52, -2
Sort 943, -3, 7 in descending order.
943, 7, -3
Sort 51, -4, -790 in ascending order.
-790, -4, 51
Sort 3, 2, -197494 in decreasing order.
3, 2, -197494
Put 1, -5, -4, -51482, -11 in increasing order.
-51482, -11, -5, -4, 1
Sort 0.4, 2, -683, 2.1 in decreasing order.
2.1, 2, 0.4, -683
Put 3/10, -87.9, 1/82 in increasing order.
-87.9, 1/82, 3/10
Sort 25, 1, 0, 3, 87, -2.
-2, 0, 1, 3, 25, 87
Put -57, -1, -0.1, -1/11 in increasing order.
-57, -1, -0.1, -1/11
Put 1, -4, 4, 7, -3254 in ascending order.
-3254, -4, 1, 4, 7
Put -0.5, -5, -3/2, 3, 38, 154 in descending order.
154, 38, 3, -0.5, -3/2, -5
Put -9, -1, -58, -4, 1 in descending order.
1, -1, -4, -9, -58
Sort -48.13, 93, -3/4 in decreasing order.
93, -3/4, -48.13
Sort 0.01, -0.5, 3/16, 16.6, -4 in descending order.
16.6, 3/16, 0.01, -0.5, -4
Sort -4, 2, 3, -8, 255 in ascending order.
-8, -4, 2, 3, 255
Sort 3, -2, -13, -1/5, -5 in decreasing order.
3, -1/5, -2, -5, -13
Put 0, 2, 1, 208, -46, 5 in decreasing order.
208, 5, 2, 1, 0, -46
Sort 12/7, 194, -0.5, 0.4 in increasing order.
-0.5, 0.4, 12/7, 194
Put -1, 657, 72 in ascending order.
-1, 72, 657
Put -5, 19.5, 0.08, -3, -0.2 in decreasing order.
19.5, 0.08, -0.2, -3, -5
Sort 21, 0, -4, -12, -22 in descending order.
21, 0, -4, -12, -22
Sort -23, -0.2, 1, 1.444.
-23, -0.2, 1, 1.444
Put -5, 4, -23, -4/7, -0.4 in decreasing order.
4, -0.4, -4/7, -5, -23
Sort -3/4, -90, 0.4, 2, -2/11, -3 in increasing order.
-90, -3, -3/4, -2/11, 0.4, 2
Put 810, -1, -3, 22 in ascending order.
-3, -1, 22, 810
Put 1, 8, 4, -48 in decreasing order.
8, 4, 1, -48
Sort 2, 1002, 0.2.
0.2, 2, 1002
Put -98, 4, 9683 in descending order.
9683, 4, -98
Put -34, 23, 0 in decreasing order.
23, 0, -34
Put -188, 6, 0, -88 in descending order.
6, 0, -88, -188
Put 0.82, -2, -1680, 0.2 in decreasing order.
0.82, 0.2, -2, -1680
Put -16, 185, -3, 0 in decreasing order.
185, 0, -3, -16
Sort 12, 1, -2/3, -4, 1.8, -0.5 in decreasing order.
12, 1.8, 1, -0.5, -2/3, -4
Sort -3, -4, -60, 5, 373 in decreasing order.
373, 5, -3, -4, -60
Sort 0.15, 0.3, -3/3481, 0.5, 0.1 in descending order.
0.5, 0.3, 0.15, 0.1, -3/3481
Sort -5, 187, -52, 3 in decreasing order.
187, 3, -5, -52
Sort 2/15, 4, 0.3, -308 in descending order.
4, 0.3, 2/15, -308
Put -3, 8, -2/7, -0.09, -0.1, 2 in increasing order.
-3, -2/7, -0.1, -0.09, 2, 8
Sort -121.6, -110, 0.2, -0.3 in decreasing order.
0.2, -0.3, -110, -121.6
Sort 4, 0.5, -43, 67, -2/9, -6.
-43, -6, -2/9, 0.5, 4, 67
Put -4542, -2, 4, -31 in decreasing order.
4, -2, -31, -4542
Sort 0.026, 2/299, -4/9, 0.25 in descending order.
0.25, 0.026, 2/299, -4/9
Sort 6, -4, -89, 3 in ascending order.
-89, -4, 3, 6
Sort 7767, -3, 0, -4, 9 in descending order.
7767, 9, 0, -3, -4
Sort -8, 24, -26 in descending order.
24, -8, -26
Sort 4, 410, 0, -22, 1/2, -4.
-22, -4, 0, 1/2, 4, 410
Sort 2/7, 178532, -1 in increasing order.
-1, 2/7, 178532
Sort 19, -1, 14402 in increasing order.
-1, 19, 14402
Sort 30, -41, -3, -5, -1 in descending order.
30, -1, -3, -5, -41
Put -2, -10, 2849, -4 in decreasing order.
2849, -2, -4, -10
Put -3/10, 1, -1, 132, 5, 1/3 in descending order.
132, 5, 1, 1/3, -3/10, -1
Sort 8.7, 0.09, 6, -1, -0.04 in descending order.
8.7, 6, 0.09, -0.04, -1
Sort 0.2, -3, 3/2, 2/15, 49, 2/11 in decreasing order.
49, 3/2, 0.2, 2/11, 2/15, -3
|
{
"pile_set_name": "DM Mathematics"
}
|
8, -102?
-176
What is the next term in 185642, 371297, 556952, 742607?
928262
What comes next: -1062, -1676, -2290, -2904, -3518?
-4132
What is the next term in -34, -107, -242, -481, -866, -1439, -2242, -3317?
-4706
What comes next: -1912, -1824, -1684, -1498, -1272, -1012?
-724
What comes next: 128, 240, 412, 632, 888, 1168?
1460
What comes next: 364, 9, -346, -701?
-1056
What comes next: -101049, -404203, -909461, -1616823?
-2526289
What is next in -84, -692, -1712, -3144, -4988, -7244?
-9912
What is the next term in -191821, -191820, -191819, -191818?
-191817
What comes next: -68174, -136343, -204512, -272681?
-340850
What is the next term in -219, -237, -281, -363, -495, -689, -957?
-1311
What is next in 1599, 1715, 1831?
1947
What comes next: 2663, 2567, 2475, 2387, 2303, 2223, 2147?
2075
What comes next: -1942, -3891, -5846, -7807?
-9774
What comes next: -335818, -335813, -335808, -335803, -335798, -335793?
-335788
What comes next: 32972, 33037, 33088, 33119, 33124, 33097?
33032
What is the next term in 20046, 39931, 59812, 79689, 99562, 119431?
139296
What is the next term in 92, 394, 906, 1628?
2560
What is next in -9147, -18316, -27485, -36654?
-45823
What is the next term in 132, 944, 2284, 4140, 6500, 9352?
12684
What is next in -1434, -1444, -1454, -1464, -1474?
-1484
What is next in 4205, 16857, 37943, 67463, 105417, 151805?
206627
What is next in -737, -693, -649, -605, -561?
-517
What is the next term in 370, 563, 756, 949, 1142, 1335?
1528
What is the next term in 7494, 7487, 7474, 7455, 7430, 7399, 7362?
7319
What is next in 4405, 4688, 5159, 5818?
6665
What comes next: 196, 477, 948, 1609?
2460
What comes next: 352, 745, 1158, 1585, 2020, 2457, 2890, 3313?
3720
What is next in -10220, -20435, -30652, -40871, -51092?
-61315
What comes next: 6, -57, -176, -351?
-582
What is next in -210167, -210168, -210169, -210170, -210171, -210172?
-210173
What comes next: -244678, -244684, -244694, -244708, -244726, -244748, -244774?
-244804
What is next in -867114, -867113, -867112, -867111?
-867110
What is the next term in -73146, -292578, -658304, -1170330, -1828662?
-2633306
What is the next term in 16590, 33098, 49606, 66114, 82622?
99130
What is next in 1, -7, -35, -89, -175, -299, -467?
-685
What is next in -572, -3510, -11478, -26990, -52560?
-90702
What is the next term in 13146, 26337, 39530, 52725, 65922, 79121?
92322
What comes next: 6622412, 13244823, 19867234?
26489645
What is the next term in -173, 428, 1029, 1630, 2231, 2832?
3433
What is next in 159, 67, -107, -381, -773, -1301, -1983?
-2837
What comes next: 175411, 350823, 526235, 701647?
877059
What comes next: 451, 1895, 4301, 7669, 11999?
17291
What comes next: -58823, -235301, -529431, -941213?
-1470647
What is next in -3449, -3428, -3405, -3380, -3353?
-3324
What is the next term in -144668, -289338, -434008?
-578678
What comes next: -2405, -4850, -7283, -9698, -12089, -14450?
-16775
What is next in -1945, -3956, -5963, -7966?
-9965
What is next in 873, 889, 915, 951, 997, 1053, 1119?
1195
What is next in -149, 405, 959, 1513, 2067?
2621
What comes next: 2516, 4739, 6962, 9185, 11408?
13631
What comes next: -42, -73, -80, -51, 26, 163, 372?
665
What comes next: 562, 2079, 4548, 7969, 12342, 17667, 23944?
31173
What is the next term in 13, 98, 251, 484, 809?
1238
What comes next: 5119226, 5119227, 5119228, 5119229, 5119230?
5119231
What comes next: 37158, 74309, 111462, 148617, 185774, 222933, 260094?
297257
What comes next: -1562, -2970, -4378, -5786, -7194?
-8602
What comes next: -106, -381, -830, -1453?
-2250
What is the next term in 101, 183, 277, 383, 501?
631
What is the next term in 152278, 152277, 152276, 152275, 152274?
152273
What is the next term in 1089, 4335, 9745, 17319?
27057
What is the next term in 191442, 191430, 191402, 191352, 191274, 191162, 191010, 190812?
190562
What is the next term in 70, 138, 210, 286, 366, 450, 538?
630
What is next in 52290, 52288, 52286, 52284?
52282
What comes next: -771, -1500, -2189, -2832, -3423, -3956, -4425?
-4824
What is next in -3328, -6656, -9996, -13354, -16736, -20148, -23596, -27086?
-30624
What comes next: 28394, 28392, 28390, 28388?
28386
What comes next: -124, -269, -398, -511?
-608
What is next in 15576, 15569, 15562?
15555
What comes next: -124, -251, -380, -511, -644?
-779
What is the next term in 205264, 205257, 205238, 205201, 205140, 205049, 204922?
204753
What is the next term in -2469, -9850, -22155, -39390, -61561, -88674, -120735, -157750?
-199725
What is the next term in 13, -24, -159, -440, -915, -1632?
-2639
What comes next: 54, -22, -188, -468, -886, -1466?
-2232
What is next in -204, -185, -150, -93, -8, 111, 270?
475
What is next in -817, -1354, -1891, -2428, -2965?
-3502
What comes next: 11088, 22197, 33310, 44427?
55548
What is the next term in 738950, 1477896, 2216842, 2955788, 3694734, 4433680?
5172626
What comes next: 2058, 1878, 1698, 1518, 1338, 1158?
978
What is next in -6217, -24858, -55927, -99424?
-155349
What comes next: -1977785, -1977788, -1977793, -1977800, -1977809, -1977820, -1977833?
-1977848
What is next in 302, 307, 318, 335, 358, 387?
422
What comes next: 6346, 50741, 171250, 405931, 792842, 1370041, 2175586?
3247535
What comes next: -123831, -247651, -371469, -495285, -619099, -742911, -866721?
-990529
What comes next: -89076, -178176, -267276, -356376, -445476?
-534576
What is next in 34, 74, 82, 40, -70, -266?
-566
What is next in 150, 102, 38, -48, -162, -310, -498, -732?
-1018
What is next in -815, -3155, -7051, -12503, -19511, -28075, -38195?
-49871
What is next in 9579, 9582, 9583, 9582, 9579?
9574
What is the next term in 64, 193, 410, 721, 1132, 1649, 2278?
3025
What is the next term in 3773, 30028, 101277, 240014, 468733, 809928, 1286093?
1919722
What is next in 367, 697, 945, 1117, 1219, 1257?
1237
What comes next: -13954, -13973, -14018, -14101, -14234?
-14429
What comes next: 54, 96, 208, 426, 786?
1324
What is the next term in -175, -684, -1531, -2710, -4215, -6040, -8179?
-10626
What comes next: -35202, -35201, -35200, -35199, -35198?
-35197
What comes next: -441, -396, -351, -306, -261?
-216
What is the next term in 264, 441, 518, 483, 324, 29, -414, -1017?
-1792
What comes next: 595, 1033, 1763, 2785, 4099, 5705, 7603?
9793
What is next in 216, 628, 1746, 3924, 7516, 12876, 20358, 30316?
43104
What is the next term in -17521, -17513, -17497, -17467, -17417, -17341?
-17233
What comes next: 24443, 48893, 73341, 97787, 122231, 146673, 171113?
195551
What is the next term in 152, 336, 538, 764, 1020, 1312, 1646?
2028
What is the next term in -3638, -14590, -32852, -58430, -91330, -131558?
-179120
What comes next: -4, -153, -390, -709, -1104?
-1569
What is the next term in 19262, 19190, 19118, 19046, 18974, 18902?
18830
What comes next: 286, 266, 212, 106, -70, -334, -704, -1198?
-1834
What is next in -20656, -82620, -185894, -330478, -516372?
-743576
What is next in 4298, 17153, 38550, 68465, 106874, 153753?
209078
What is next in 305, 1237, 2801, 4997?
7825
What comes next: -12811, -25550, -38289?
-51028
What comes next: -263, -2244, -7637, -18146, -35475?
-61328
What is the next term in 460, 382, 170, -242, -920?
-1930
What is the next term in -465419, -465416, -465413?
-465410
What comes next: -457, -1103, -1937, -2959, -4169, -5567, -7153?
-8927
What is next in -61925, -495374, -1671885, -3962990, -7740221, -13375110?
-21239189
What comes next: -14648, -14631, -14614, -14597, -14580?
-14563
What comes next: -308, -1148, -1988, -2828, -3668?
-4508
What is the next term in 6758, 54019, 182294, 432089, 843910, 1458263?
2315654
What comes next: 1101, 1054, 1007, 960, 913, 866?
819
What is the next term in 515, 1049, 1605, 2195, 2831, 3525, 4289, 5135?
6075
What is next in 2735, 2810, 3003, 3374, 3983, 4890?
6155
What comes next: -17308, -17293, -17266, -17221, -17152, -17053?
-16918
What comes next: 104, 419, 936, 1655?
2576
What comes next: -410, -625, -840, -1055, -1270?
-1485
What is the next term in 2403, 9578, 21517, 38208, 59639, 85798, 116673?
152252
What comes next: -934, -1884, -2834, -3784, -4734?
-5684
What is next in 102, 99, 60, -21, -150, -333?
-576
What is the next term in 4528, 4535, 4554, 4591, 4652?
4743
What comes next: -325, -340, -35
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) p (c) 2/13
c
Suppose 13*l + 93 = 15. Let m be 76/168 - l/(-21). Which is the closest to m? (a) -3 (b) -0.5 (c) -0.2
c
Let s = -1.97144 + -0.02856. Which is the nearest to 0.2? (a) s (b) 2/21 (c) -6/7
b
Suppose -20*l = 14*l - 51*l - 442. What is the closest to 10 in l, 4, -6/7, -2?
4
Let h = 349 - 1049/3. Let q = 2/69 - -59/345. Which is the closest to 0? (a) h (b) q (c) -5
b
Let l = -4696 + 4698. Which is the closest to -0.07? (a) l (b) -0.9 (c) 4
b
Suppose -83*c + 81*c - 6 = d, d = 5*c + 1. Let q = -1.93 - -2. What is the nearest to c in -3, q, 2/3, -0.16?
-0.16
Let j = 247.55 + -291. Let t = j - 0.55. Let q = t + 43.9. Which is the closest to -1? (a) -5 (b) q (c) -3
b
Let r(q) = 66*q + 3693. Let k be r(-56). Which is the closest to 0.2? (a) 0 (b) k (c) 3/4 (d) 0.02
d
Suppose 0*c = -2*c - 8. Let t = 3505.6 + -3506. What is the nearest to 1 in -0.5, t, c?
t
Let n = -1.2218 + -12.7782. What is the closest to 0.03 in -4, -3/2, n?
-3/2
Let o be 11/77 + (-12)/(-63). Let j = -25.7 - -29.48. Let h = j - -0.22. What is the closest to o in 2, h, 0.3?
0.3
Let x = 203 + -813/4. Let m = 131 + -261/2. What is the nearest to m in 2, -0.2, x?
-0.2
Let o = 12677 - 12673. Which is the nearest to 0? (a) -36 (b) o (c) 0.3
c
Let h = 0.0059 + 2.6241. Let p = 12930 - 12928.63. Let s = h + p. Which is the closest to -1? (a) -27 (b) 1 (c) s
b
Let a be ((-2618)/(-371) - 2) + -12 + (-9 - -16). What is the closest to -1 in 0.1, 0.2, a, 1/4?
a
Suppose -9*r = -3*v - 5*r + 1, -9 = 5*v + 4*r. Which is the nearest to 2? (a) -0.11 (b) -8 (c) v
a
Let v = 2 - 1.7. Let o = 5299 + -42403/8. What is the closest to o in v, 2/7, 3?
2/7
Suppose 4*n + 2*o = 8, -3*n - 2*o + 1 = -3. Let s(m) = m**2 - 601*m + 16591. Let i be s(29). Which is the nearest to n? (a) -8 (b) i (c) -2
b
Suppose -3*c - 189 = 2*z - 167, 0 = -z + 2*c - 4. What is the closest to 0.1 in -0.3, -5, z?
-0.3
Let k = 881/25608 - 5/264. Let q = k + -2021/5238. What is the nearest to -1 in 0, q, 2?
q
Let d = 0.76 + 47.24. Let h = d - 12. Let q = h - 32. What is the nearest to -1.2 in -3, -1/8, q?
-1/8
Suppose 3*p - 15 = 4*g, -2*p + 20 = 2*p + 4*g. Let h = -2 + -2. Let v = -3 - h. What is the closest to v in p, -0.5, 2/5?
2/5
Suppose 5*l + 2*z - 71 = -76, -2*z - 10 = 0. What is the nearest to l in 0.5, 9, 0, 1/4?
0.5
Let x = 31.032 - 30.5. Let c = -0.032 + x. What is the closest to -21 in c, -1, 3?
-1
Let l = 386 + -542. Let s = l + 153. Which is the closest to 2? (a) -1/5 (b) s (c) -3/2
a
Let y be (-1 - 39/(-52))*(-2)/(-4). Which is the nearest to y? (a) -2/5 (b) 0 (c) 115
b
Suppose 8*z - 430 = -78*z. What is the nearest to 4 in -215, -1/7, z?
z
Let m = 275277/55 - 55062/11. Let g = 0.6 - 2.6. Let x = -3 - g. What is the nearest to x in 0.5, 0.6, m?
m
Let d(a) = 3*a**3 - 10*a + 1. Let l be d(-2). Let u = 0.07 - 1.07. What is the closest to u in -1, 0.02, l?
-1
Let g = 0 + -0.2. Let q = -0.3 - g. Let z = -144379 + 721897/5. Which is the closest to q? (a) -2/11 (b) 1/7 (c) z
a
Let l = -140 - -144. Let g = 503/8 - 63. Let i = g - -5/8. Which is the nearest to 0.3? (a) i (b) -4/9 (c) l
a
Let m = -311 - -294.3. Let s = 16.9 + m. Suppose 7*h + 42 = 7. Which is the nearest to s? (a) 0.4 (b) 32 (c) h
a
Let t = -247/6 + 41. Suppose 0*o - 104 = 4*o. Let n = o + 30. Which is the closest to n? (a) 2/5 (b) -4 (c) t
a
Let n = 5.2928 - 2.2928. Which is the closest to n? (a) -2/71 (b) -4 (c) -0.3 (d) 4
d
Let r = -23.8 - -23.9. Suppose 4*s = -4*z - 68, z = -4*z - 20. Which is the nearest to r? (a) s (b) -1 (c) 1/3
c
Let x = -47.09 - -46.99. What is the closest to x in -1, -3, 0.2, 5?
0.2
Let d = -16/57 + 86/171. Let g = -205 - -209. Which is the nearest to -6/19? (a) d (b) g (c) 0.1
c
Let v = 18164.5 + -18164. What is the nearest to -2/9 in -2, -2/13, -0.3, v?
-2/13
Let y = -4.8 + 4.8. Let f be 3/(-60) - 5/(-80)*4. Which is the closest to y? (a) 0 (b) f (c) -0.04
a
Let h = -2390 - -2389. Which is the closest to h? (a) 6 (b) 0 (c) 3/5 (d) 0.5
b
Suppose 2*j = 12*j - 50. Suppose 2*y - 12 = -j*u + 8*u, -3*y + 5*u = -19. Which is the nearest to 1? (a) 2 (b) -0.7 (c) y (d) 8
a
Let r = -139 - -970/7. What is the closest to 2/7 in -0.5, 91, r, 1/4?
1/4
Let i = -101 - -708/7. Let n = 728 + -730. Which is the closest to 2? (a) n (b) i (c) -0.1
b
Let x(i) = i**2 - 87*i + 334. Let z be x(4). Let o = -5.1 - -0.1. Let k = 9/10 + 8/5. Which is the closest to z? (a) o (b) -2 (c) k
c
Let i = -1018 - -1018.2. Let x = -105 - -101. Which is the nearest to i? (a) x (b) -1 (c) -1.3 (d) 2
b
Suppose -818*s - 1667 = 88*s + 145. Let x = -3/46 + 101/138. Which is the nearest to 0? (a) s (b) x (c) -2/7 (d) -7
c
Let q = -34 - -243. Let f = 205 - q. What is the closest to -0.3 in -1, 2/7, f?
2/7
Let z = 30465 - 30465. Let l = 22 - 25.1. Let f = 3 + l. What is the closest to f in 0.01, z, -0.1?
-0.1
Suppose 106*z - 49*z + 124 = -67*z. Let s = 6 + 52. Which is the nearest to s? (a) z (b) -0.2 (c) 1/5
c
Let w be (24/(-18) + 1)/((-1462)/(-12)). Let n = w + -723/2924. Let h = 0.1 + 0. What is the nearest to -0.2 in -5, h, n?
n
Suppose -9*q + 7*q + h = 8, -7*h - 28 = 0. What is the closest to -1/4 in 3, q, -155/4?
3
Let k be (-4*(-5)/(-60))/((-5)/15). Which is the nearest to 2/3? (a) -5/3 (b) k (c) 4.6 (d) 2
b
Let l = -14 + 281. Let i = -270 + l. Let y = 0.4 - 1.4. What is the nearest to y in 0.2, 0.6, i?
0.2
Let w = 62443/15 + -4163. What is the nearest to w in 0.5, 1/3, 0.6?
1/3
Let z be (-14)/4*((-60)/(-56))/(-15). Which is the closest to z? (a) -5 (b) 7/5 (c) 6 (d) -0.1
d
Let q = 12.1 - 0.1. Let t = 11 - q. Let o be 4/26 - (730/351 - 2). Which is the closest to t? (a) 1 (b) o (c) -1
c
Let x(n) = -n. Let p(a) = -12*a - 36. Let i(o) = p(o) - 6*x(o). Let b be i(-6). Let w = 1 + -1.1. What is the closest to b in w, -3, 0.05?
0.05
Let f = 0.9 - 0.4. Let n be -15 - 6 - 24 - -46. What is the nearest to n in 1, f, -1/3, 0.17?
1
Let f = 151/35 + -337/70. What is the nearest to -5 in -0.67, 3, f?
-0.67
Let p be (9/(-7) - (-10)/10) + 54/42. Which is the nearest to 1? (a) p (b) 0.12 (c) -1/3 (d) -1.2
a
Let i = -206 - -206. Which is the nearest to i? (a) 4 (b) 3 (c) 0.02 (d) -5
c
Let r be (8/(-14))/((-1096)/959). What is the closest to 0.4 in r, 1, -25?
r
Let v = 3707 + -3706. Which is the closest to v? (a) -0.1 (b) 2/3 (c) -5 (d) 6
b
Suppose -51 + 24 = -3*p. Let h(x) = -p + 13 - x + 10 + 7. Let j be h(15). Which is the nearest to 2/7? (a) j (b) 5 (c) -2/5
c
Let u = 1001 + -1000.5. Let w(k) = -k**3 - 3*k**2 + 3*k + 10. Let x be w(-3). Which is the nearest to x? (a) u (b) 5 (c) 0 (d) -7
a
Let t = -0.37628 - -0.37628. Which is the nearest to 19? (a) -1/9 (b) -5 (c) t
c
Let c = -3.81264 + -1.18736. Let x = -27/58 - 1/29. Suppose 0 = 2*k + 3*k + 20. What is the nearest to 0.2 in c, k, x?
x
Let j = -0.033 + 0.733. Let q(k) = k + 5. Let c be q(-8). Let o be (-3 - (-3)/c)*-1. What is the nearest to j in o, 5, 2?
2
Suppose -n - 3 = 0, 3*v = -14*n + 19*n + 12. Which is the closest to 1/3? (a) 1 (b) v (c) -2
a
Let i = 2.02 + -2. Let k = 5760 - 5760.1. Which is the nearest to 2? (a) k (b) -2 (c) i
c
Let r = 3/352 - 761/6688. Let a = 847 + -836.66. Let s = a - 6.34. What is the closest to -2 in s, 1, r?
r
Let p = -1899943/4010 + 2369/5. Let l = 807/4010 + p. Let j = 1 - 1. Which is the nearest to -1? (a) l (b) 4 (c) j
c
Let w = 16816 - 16814. Which is the closest to -0.3? (a) -0.03 (b) w (c) -4/9 (d) -2/7
d
Let f = -9017 - -9023. Which is the closest to 8? (a) f (b) -2 (c) -0.21
a
Let t be 2/4*((7 - (-126)/14) + -15). Let n = -0.1 - -0.1. What is the nearest to t in n, -1/4, 0.07?
0.07
Let d = -1451 + 1451.02. What is the closest to 0.15 in -1, d, -3?
d
Suppose -q - 9 = -1. Let c = 9 + 14. Suppose c = -3*s - 2*j + 6*j, 5*s - 5 = -2*j. What is the closest to s in q, 3, -3?
-3
Let f(v) = -v**2 - 92*v - 4. Let a be f(0). What is the closest to 1/2 in -73, a, 0.4?
0.4
Let g = 80.18 - 0.98. Let z = g - 79. Let b = -0.3 + 1.3. What is the closest to b in 1, -3, z?
1
Let n(j) = j**3 - 9*j**2 - 13*j + 189. Let l be n(7). Which is the nearest to l? (a) -0.5 (b) 1 (c) -4 (d) 8/3
a
Let y(g) = -1460*g - 4381. Let j be y(-3). Which is the nearest to j? (a) 1.
|
{
"pile_set_name": "DM Mathematics"
}
|
eters?
4200
How many micrograms are there in twenty-seven fifths of a milligram?
5400
How many seconds are there in 5.895007 nanoseconds?
0.000000005895007
What is 17/2 of a centimeter in millimeters?
85
Convert 0.861876ng to milligrams.
0.000000861876
What is one fifth of a kilometer in centimeters?
20000
How many millimeters are there in one fifth of a centimeter?
2
What is fourty-four fifths of a centimeter in millimeters?
88
What is 19/4 of a millimeter in micrometers?
4750
How many millimeters are there in 0.2037067cm?
2.037067
What is 0.2250254us in seconds?
0.0000002250254
How many millimeters are there in 52549.09m?
52549090
What is seventy-four fifths of a day in minutes?
21312
How many centimeters are there in 75702.71 micrometers?
7.570271
What is 8/3 of a year in months?
32
Convert 69.24345 litres to millilitres.
69243.45
How many nanograms are there in 1/5 of a microgram?
200
How many litres are there in 2.01766 millilitres?
0.00201766
How many litres are there in 19058.61ml?
19.05861
What is thirty-seven halves of a microgram in nanograms?
18500
How many millilitres are there in 22.67759 litres?
22677.59
What is fourteeen ninths of a hour in seconds?
5600
How many months are there in 1/5 of a decade?
24
What is twenty-six fifths of a millennium in decades?
520
How many weeks are there in 134580.7764 seconds?
0.222521125
What is 46/5 of a gram in milligrams?
9200
How many meters are there in 62905.87 micrometers?
0.06290587
What is 5.876901 millennia in years?
5876.901
How many milliseconds are there in 1/5 of a minute?
12000
What is 5.087988 millennia in decades?
508.7988
What is 342.2789ml in litres?
0.3422789
How many months are there in 15/4 of a decade?
450
What is 71/4 of a kilometer in meters?
17750
How many micrograms are there in eleven quarters of a milligram?
2750
What is 6/25 of a litre in millilitres?
240
Convert 53.26034km to meters.
53260.34
What is 0.9199411 centuries in decades?
9.199411
How many centuries are there in 27/5 of a millennium?
54
Convert 153.20457 months to decades.
1.27670475
Convert 363.7847 millennia to years.
363784.7
What is 3/32 of a tonne in grams?
93750
How many nanometers are there in five eighths of a micrometer?
625
What is 4752.887g in kilograms?
4.752887
How many minutes are there in 62189.2 days?
89552448
How many millilitres are there in 1/5 of a litre?
200
What is twenty-five eighths of a tonne in kilograms?
3125
How many seconds are there in twenty-one quarters of a hour?
18900
How many centimeters are there in 98.25996m?
9825.996
What is 855.5235 centimeters in meters?
8.555235
How many minutes are there in three fifths of a hour?
36
What is 5.272941 millennia in months?
63275.292
How many millilitres are there in three tenths of a litre?
300
How many nanoseconds are there in 30.14427 milliseconds?
30144270
Convert 444.1054 nanoseconds to microseconds.
0.4441054
How many millilitres are there in 3.650863l?
3650.863
How many litres are there in 0.4753285 millilitres?
0.0004753285
How many nanograms are there in seven halves of a microgram?
3500
How many millilitres are there in 3/25 of a litre?
120
What is eleven eighths of a litre in millilitres?
1375
What is 1/10 of a decade in years?
1
Convert 421473.9 weeks to days.
2950317.3
How many kilograms are there in 2.348933t?
2348.933
What is twenty-seven quarters of a meter in millimeters?
6750
Convert 0.131218 litres to millilitres.
131.218
What is 13/4 of a gram in milligrams?
3250
Convert 424.2309 years to decades.
42.42309
What is 8/25 of a millimeter in micrometers?
320
Convert 0.7441242 millilitres to litres.
0.0007441242
What is 89689.33ng in grams?
0.00008968933
Convert 2.068492 centuries to decades.
20.68492
What is eight fifteenths of a minute in seconds?
32
How many millilitres are there in 68497.58l?
68497580
What is 13/5 of a micrometer in nanometers?
2600
How many minutes are there in fourteeen ninths of a week?
15680
How many millilitres are there in 3/10 of a litre?
300
What is seventy-two fifths of a kilometer in meters?
14400
What is twenty-nine halves of a litre in millilitres?
14500
What is 793615.3ml in litres?
793.6153
What is sixty-nine halves of a decade in months?
4140
How many millimeters are there in twenty-seven halves of a meter?
13500
Convert 0.0268662l to millilitres.
26.8662
How many decades are there in six fifths of a millennium?
120
How many nanoseconds are there in 11/10 of a microsecond?
1100
What is 17/4 of a litre in millilitres?
4250
What is one fifth of a litre in millilitres?
200
How many millilitres are there in one twentieth of a litre?
50
How many millilitres are there in 33/5 of a litre?
6600
What is 131724.8km in centimeters?
13172480000
How many kilograms are there in 3/25 of a tonne?
120
How many seconds are there in four thirds of a minute?
80
Convert 81232.59km to nanometers.
81232590000000000
How many microseconds are there in 16.23475ms?
16234.75
How many kilograms are there in six fifths of a tonne?
1200
What is 736045.7 nanograms in tonnes?
0.0000000007360457
How many minutes are there in 24698.37 seconds?
411.6395
How many meters are there in 3/8 of a kilometer?
375
How many meters are there in 0.0705079um?
0.0000000705079
What is 31.25128t in nanograms?
31251280000000000
What is six fifths of a gram in milligrams?
1200
Convert 17.158 seconds to nanoseconds.
17158000000
How many litres are there in 36.1452ml?
0.0361452
How many decades are there in six fifths of a millennium?
120
How many litres are there in 639635.2ml?
639.6352
Convert 2784.76 days to nanoseconds.
240603264000000000
How many milliseconds are there in 3.756798 seconds?
3756.798
How many milliseconds are there in 4/15 of a minute?
16000
How many meters are there in 79.89782 nanometers?
0.00000007989782
How many micrograms are there in 1/64 of a gram?
15625
What is 51/5 of a litre in millilitres?
10200
What is 3/10 of a centimeter in micrometers?
3000
How many grams are there in twenty-five quarters of a kilogram?
6250
What is 2.451483ng in kilograms?
0.000000000002451483
What is fourty-five eighths of a hour in seconds?
20250
How many grams are there in 21/8 of a kilogram?
2625
What is 33/5 of a milligram in micrograms?
6600
How many nanometers are there in ninety-three quarters of a micrometer?
23250
How many months are there in five sixths of a year?
10
What is 4/15 of a century in months?
320
What is 721.0277ng in milligrams?
0.0007210277
How many millilitres are there in twenty-seven halves of a litre?
13500
How many millilitres are there in 580.017 litres?
580017
Convert 2.649826 millilitres to litres.
0.002649826
What is 30.22398 litres in millilitres?
30223.98
How many months are there in 0.2192778 centuries?
263.13336
How many micrograms are there in 56129.13t?
56129130000000000
How many tonnes are there in 276.0252 micrograms?
0.0000000002760252
How many centimeters are there in three tenths of a meter?
30
What is 187.7724 kilometers in centimeters?
18777240
What is three tenths of a millimeter in micrometers?
300
What is 2.3580822 months in decades?
0.019650685
How many millilitres are there in 29/2 of a litre?
14500
How many kilometers are there in 222.61nm?
0.00000000022261
What is 77/5 of a micrometer in nanometers?
15400
What is 384071.5ml in litres?
384.0715
How many hours are there in 19/4 of a day?
114
Convert 205.1038 centuries to millennia.
20.51038
How many microseconds are there in 0.587954 days?
50799225600
What is 2847.564 millennia in decades?
284756.4
What is fourty-one halves of a kilometer in meters?
20500
Convert 6.405409 years to centuries.
0.06405409
How many milligrams are there in six fifths of a gram?
1200
How many decades are there in 7328.247 centuries?
73282.47
How many decades are there in 35.5104 millennia?
3551.04
How many months are there in 4/15 of a century?
320
What is eleven halves of a millennium in centuries?
55
What is 1624.2627 months in millennia?
0.135355225
How many centimeters are there in one quarter of a meter?
25
How many years are there in seventeen halves of a millennium?
8500
What is 55/3 of a week in hours?
3080
How many meters are there in 0.2581803km?
258.1803
How many nanometers are there in 79/2 of a micrometer?
39500
How many seconds are there in 2
|
{
"pile_set_name": "DM Mathematics"
}
|
(-8)?
True
Let g be (-30)/(-1)*128/20. Suppose -4*p = 5*s - 18, 0 = 4*p + 11*s - 15*s. Suppose -p*t - g = -5*t. Is 16 a factor of t?
True
Let a(c) = -c**3 + 23*c**2 - 27*c + 9. Is a(9) a multiple of 30?
True
Suppose 3*c - 25 = -2*c. Suppose 4*n + 16 = 0, 0*h - c*n = -4*h + 8. Is 6 a factor of h - -1*(-44)/(-4)?
False
Suppose -36 = 5*b + 4*c, -4*b - 5*c - 32 = -b. Let j be 8/b + 38 + -1. Suppose 3*d - 8*d = -j. Is 7 a factor of d?
True
Let a = 9 - 4. Suppose 3*w + n = -a + 12, 4*w - 4 = -4*n. Is (6/w - 3)*-13 a multiple of 13?
True
Suppose k - 5*u = -u + 5, 109 = 5*k + u. Let q = k + -18. Suppose 0 = -0*t + q*t - 93. Is 8 a factor of t?
False
Is 13509/24 - (-8)/64 a multiple of 17?
False
Let d = 2999 - 1715. Suppose -5*x - d = -17*x. Is x a multiple of 13?
False
Let k(x) = -x**2 - 41*x + 18. Is 15 a factor of k(-9)?
False
Does 12 divide 3174/15*(-45)/(-18)?
False
Let y(v) = -v**2 - 11*v + 12. Suppose 0 = 2*p + l - 32, -2*l = -3*l - 4. Suppose 2*d = 4*d + p. Does 9 divide y(d)?
False
Let w = 14 - -71. Suppose -5*c + 425 + w = 0. Is 17 a factor of c?
True
Let d(k) = -k + 1. Let n be d(-4). Let m = -384 + 434. Suppose 0 = -2*q - 3*t + 26, 3*q + q + n*t = m. Is q a multiple of 2?
True
Suppose 5*r + 243 = 2*r. Let d be (-1)/(-2) - r/18. Suppose -l + 3*o + 72 = l, 4*l = -d*o + 144. Is 9 a factor of l?
True
Suppose -23*b - 2260 = -27*b. Is 28 a factor of b/7 - 14/(-49)?
False
Suppose -1 = -3*h + 8. Suppose 0 = -h*y - 17 - 28. Let i(x) = x**2 + 14*x + 15. Does 30 divide i(y)?
True
Suppose 10*l + 4*s - 4990 = 8*l, -s = l - 2490. Is 77 a factor of l?
False
Suppose -7*u + 29928 = 51*u. Is u a multiple of 8?
False
Let k(c) be the second derivative of -c**5/20 - 13*c**4/12 - c**3/3 - 5*c**2/2 + 19*c. Is 5 a factor of k(-13)?
False
Suppose -165 = -j + 190. Is j a multiple of 6?
False
Let p be 3/1 + (-1 - -34). Let v = p + -36. Suppose -r + 4*g = -0*r - 4, g - 4 = v. Is r a multiple of 20?
True
Suppose 3*u = -t + 1637, u - 6*t - 551 = -5*t. Let d = u + -371. Is 22 a factor of d?
True
Let r = -8 - -5. Let h be r + -19 + -1 + 0. Does 4 divide 1*(1 + -3 - h)?
False
Is 15 a factor of (11/(22/(-28)))/((-4)/6)?
False
Does 13 divide 5/(15/949)*3?
True
Suppose -4*d - 1 = 4*o - 9, 3*o + 5*d = 12. Let q(y) = 28*y**3 - 2*y**2 + 1. Let b be q(o). Does 19 divide 10/(-5) - (b - 1)?
False
Suppose 0 = -i - i - 5*u + 9, -5*u + 26 = 3*i. Does 8 divide i?
False
Suppose -5*i - 18 = -3, d + 3*i = 398. Does 30 divide d?
False
Suppose -5*d - 5*d + 3360 = 0. Suppose 0 = 61*v - 64*v + d. Is v a multiple of 28?
True
Let d be ((-12)/10)/(-5 - (-5118)/1020). Let n = d + 110. Is n a multiple of 7?
True
Suppose -4*c = -5*h - 5, -2*h + h - 1 = c. Let g be -6 - -2 - (-4 + -1). Does 6 divide (g*h)/((-6)/120)?
False
Let x(l) = -35*l**3 - 8*l**2 + l + 3. Is x(-3) a multiple of 25?
False
Suppose -1 = -3*n + 11. Suppose 0 = n*w - 8. Suppose -q = w*q - 225. Is 25 a factor of q?
True
Suppose 7*w = w. Let u(z) = -z**2 + 27. Is 17 a factor of u(w)?
False
Is 10 a factor of ((-5)/(-10))/(3 - 5037/1680)?
True
Let c(d) = -d**2 + 12*d - 2. Let x be c(10). Suppose 3*b - x = -3*y, -4*b + y + 32 = 3*y. Suppose 2*q - 38 = b. Does 12 divide q?
True
Let l(f) = f**2 + 15*f + 18. Let z be l(-14). Suppose z*d = 77 + 47. Is 16 a factor of d?
False
Suppose 660 = 7*l + 3*l. Is l a multiple of 3?
True
Does 41 divide 525/75*1/(21/4644)?
False
Let t = 73 - 43. Let j = t + -26. Suppose j*b - 92 = 76. Is 21 a factor of b?
True
Let a be (-3 + -1 - -1) + 1335. Let j be (-2)/(-5) - a/(-45). Let s = j + -2. Is 8 a factor of s?
False
Let s(i) = -37*i - 503. Does 57 divide s(-41)?
False
Let z = -206 - -406. Is 10 a factor of z?
True
Suppose 0 = -4*r - 141 + 701. Let c = r + 42. Suppose 360 = 4*u + 5*o, 2*o - c = -5*u + 3*u. Is u a multiple of 23?
False
Suppose 10598 = -8*g + 22*g. Does 9 divide g?
False
Let f(p) be the first derivative of p**4/4 - 2*p**3 + 3*p**2 - 3*p + 12. Is 9 a factor of f(6)?
False
Let a = 10 - 13. Let w be 0*a/(-12) - -7. Let f(p) = p**2 - 2*p - 4. Is f(w) a multiple of 14?
False
Suppose -158 = 7*h + 31. Is 9 a factor of (-6)/h + 302/18?
False
Let i be (4/((-32)/2))/(2/(-56)). Is 14 a factor of -1 + 5/i + (-13949)/(-91)?
False
Is 8 a factor of (-480)/(-18)*126/35?
True
Suppose 0 = 52*x - 57*x. Suppose b + 7 - 127 = x. Does 12 divide b?
True
Let q(v) = 7*v - 52. Let j be q(7). Let i = j + 31. Is i a multiple of 7?
True
Suppose 0 = -5*h - 0 + 15. Suppose h*c - 30 = 3*o, -50 = 3*o + 3*c - 8. Let m = o - -26. Is 7 a factor of m?
True
Let u(s) = 9*s**2 - 5*s + 4. Suppose -20 + 59 = 13*j. Is 3 a factor of u(j)?
False
Suppose 4*f - 2*c + 5*c = 106, f + 4*c - 20 = 0. Let v be (0 + 1)/((-2)/f). Let d = 26 + v. Does 11 divide d?
False
Suppose 50*h = 54*h + 5*o - 1807, 0 = -4*o - 4. Does 30 divide h?
False
Suppose 0 = 4*u - u - 4*q - 4196, 0 = -u - 4*q + 1388. Is 67 a factor of u?
False
Let h(v) be the third derivative of v**6/120 + 7*v**5/60 + 4*v**3/3 + v**2. Let k be (-5 + (11 - 3) - 3) + -6. Does 16 divide h(k)?
False
Let a be 32/(-6) - 2/(-6). Let w(q) = q**2 + 3*q - 6. Let p be w(a). Let v = p - -7. Is 3 a factor of v?
False
Suppose -3*q + t = -2*q + 15, 8 = 2*t. Let r(n) = -7*n - 5. Does 8 divide r(q)?
True
Let m(a) = a**3 + 15*a**2 + 8*a - 48. Is 24 a factor of m(-12)?
True
Suppose -i + 4*m - 5 = 0, -i - 2*m + 13 = -0*i. Let a(o) = 26*o + i*o - 9*o + 5 + 19*o. Is 15 a factor of a(2)?
False
Let q = 35 - 28. Let l = 75 + q. Suppose -4*h = -8, l = 2*s - 0*s + 5*h. Is 18 a factor of s?
True
Suppose -2*h - 2268 = 5*h. Is 8 a factor of (h/6)/(4/(-2))?
False
Suppose -3*j + 0*o + 4*o = -29, 2*o = 4*j - 22. Suppose 0 = 2*z + 2*b - 210, -j*b + 0*b - 493 = -5*z. Is z a multiple of 21?
False
Let d be 43/8 - 42/112. Suppose 1598 = d*b + 12*b. Is 22 a factor of b?
False
Let a(u) be the first derivative of u**4/2 - 2*u**3/3 - u**2 + 2*u + 168. Let o = -4 - -7. Is a(o) a multiple of 8?
True
Let f(k) = 23*k**2 - 16*k + 164. Is f(8) a multiple of 13?
True
Suppose 16 = 28*a - 20*a. Let p(r) = r**2 - 3*r + 1. Let d be p(4). Suppose 70 + 95 = d*i - 2*q, 0 = 4*i + a*q - 150. Is 6 a factor of i?
False
Suppose 0 = r + r + 12. Let m(a) be the third derivative of -7*a**4/24 + 2*a**3/3 + 148*a**2. Is 23 a factor of m(r)?
True
Let u(r) = 5*r - 6. Let b(a) = -3*a + 29. Let q(i) = i - 10. Let t(d) = 4*b(d) + 11*q(d). Let h be t(-2). Is u(h) a multiple of 8?
False
Let p be 16/(-6)*(-6)/4. Suppose 0 = -10*w + 60 + 60. Does 14 divide 24*3*p/w?
False
Suppose -3*t - 57 = -d - 0*d, -4*t - 118 = -2*d. Suppose n = -2*q + 67, d = -0*n + n + q. Is 21 a factor of 3/((-6)/(-8)) + n?
True
Let a be (-1176)/32 + 1/(-4). Let d = a + 11. Does 2 divide d/(-6) - (-2)/(-6)?
True
Suppose -3*c + c - 3*s = -1679, -4*s = c - 827. Is c a multiple of 77?
True
Is ((-3)/2 - -3)*(-19184)/(-24) a multiple of 51?
False
Let h(w) = -34*w - 9. Let n be h(-7). Let c = n - 163. Does 6 divide c?
True
Let t(f) be the first derivative of -29*f**2/2 + 2*f + 11. Is 13 a factor of t(-1)?
False
Suppose 4*m = b - 2, -3*b - m = -2*m - 6. Suppose 20 = b*k + 3*k. Suppose k*x = -x + 200. Is 17 a factor of x?
False
Suppose -g + 76 = -5*d, 0*g + 2*g - 4*d = 140. Is 4 a factor of g?
False
Suppose -l - g + 61 = -4*g, 5*l - 281 = 3*g. Suppose -q + l = -0*q - 2*y, y = 3*q - 180. Let h = q - 37. Does 6 divide h?
True
Suppose 2*t = q + q + 132, 3*q = -4*t - 198. Let a = -11 - q. Is 12 a factor of a?
False
Let f = 1745 + -380. Is f a multiple of 35?
True
Let b(g) be the second derivative of g**4/24 + g**3/3 + 3*g**2/2 + 5*g. Let u(l) be the first derivative of b(l). Is u(10) a multiple of 12?
True
Suppose 20*i + 120 = 21*i. Suppose 9*t + i = 13*t. Is (-1873)/(-15) + 4/t a multiple of 24?
False
Let b = 283 - -557. Is 12 a factor of b?
True
Suppose 3*v + 2 - 1 = u, 3*u = 3*v + 9. Let m = u + 7. Does 11 divide m?
True
Suppose 4*w = 3*w. Suppose w = 3*t + 18 + 6. Does 8 divide 12/(((-12)/3)/t)?
True
Suppose 8*j = j + 28. Suppose 0 = j*l + 6 - 646. Does 40 divide l?
True
Let f be (129/6)/(1/2). Let b = 78 - f. Is 4 a factor of b?
False
Let g(m) = -10*m**3 - 2*m**2 - 2*m - 1. Let r(x) = -x**2 - 2*x - 1. Let o be r(0). Is 2 a factor of g(o)?
False
Let v(s) = 2*s**2 + s - 8. Is 35 a factor of v(6)?
True
Suppose 17*l - 619 - 724 = 0. Is l a multiple of 9?
False
Suppose 575 = x - 180. Suppose 5*b
|
{
"pile_set_name": "DM Mathematics"
}
|
-1
Solve 0 = j + s + 1, 2*j + 4*s + 23 = 9*s for j.
-4
Solve h + 6*v + 12 = 2*v, 0 = -2*h - 2*v - 12 for h.
-4
Solve 4*p + 14 = -2*k + p, -2*k = 5*p + 18 for k.
-4
Solve -4 = -4*d - 2*t + 4, 24 = 6*d - 3*t for d.
3
Solve 5*i + 14*r - 23 = 13*r, -2*i + 5*r = -20 for i.
5
Solve 2*v = 3*n - 2 + 5, -2*v = 0 for n.
-1
Solve 0 = -j - 4, -3*v = j + j + 17 for v.
-3
Solve w = -w - 2*y - 4, -2*y + 5 = 5*w for w.
3
Solve 9 = 4*i - g, 5*i + 3*g = 2*i + 3 for i.
2
Solve -2*n = n + 6, 0 = -z + 2*n + 9 for z.
5
Solve y + 14 = -3*o, -9*y - o = -10*y + 2 for y.
-2
Solve -u + 2*s - 11 = 0, 3*u + 136 = -s + 124 for u.
-5
Solve 2*a - 2*n = 10, -4*n + 10 = 5*a - 6 for a.
4
Solve -23*w + 28*w + 20 = -5*g, 11 = -5*g + 4*w for g.
-3
Solve 2*g - 5*g + q = 2, g + q + 2 = 0 for g.
-1
Solve -3*w - 15 = 0, -5*f = -0*f - w + 10 for f.
-3
Solve 4*c - 20 = -v, -2*c + 9*v = 6*v - 10 for c.
5
Solve 4*k - 4*n = -6*n - 10, 24 = -3*k + 4*n for k.
-4
Solve h + 8 = x + 10, 2*x + 6 = 4*h for h.
1
Solve 4*x + 3 = -2*f + 21, f = 5*x - 26 for x.
5
Solve n = 3*l, 0*l - 4*l = 4*n - 16 for l.
1
Solve 3*z + 20 = 4*s, 0 = 5*s - 3*z + 2*z - 14 for s.
2
Solve 4 = j + 4*j + 2*u, -4 = -2*u for j.
0
Solve -3*j - 4*x + 15 = 0, 11*x - 15 = 6*x for j.
1
Solve -5*k - f = -7*k + 11, 44 = 5*k + 3*f for k.
7
Solve 3*l = -c - 11, 4 + 3 = -3*l + c for l.
-3
Solve -4*w + 17 = -4*q + 1, 5*w - 16 = q for w.
3
Solve 2 = 2*u + k, 15*k = 13*k - 8 for u.
3
Solve 0 = -5*l + 2*q - 7, -4*l + 2 - 6 = -2*q for l.
-3
Solve -j - 4*z + 24 - 7 = 0, -2*z = 5*j - 13 for j.
1
Solve 0 = 2*w + 2*k - 2, -2*k + 13 = 3*w - 4*k for w.
3
Solve 0 = -4*o + 8, -4*o - 10 = -4*a + o for a.
5
Solve 57*o = 55*o + h + 2, -5*o + 5*h = 5 for o.
3
Solve 5*i + 2*a = -19, 9*i + 2 = 8*i - a for i.
-5
Solve -4 = 3*h - 2*h - 5*b, 4*h + 2*b = 6 for h.
1
Solve 0 = 3*w - n + 4, -4*w + 6*w - n + 4 = 0 for w.
0
Solve -q + 3*p + 15 = 0, 2*q - 4*p + p = 18 for q.
3
Solve y + r = 2*y + 1, 5*r - 35 = -5*y for y.
3
Solve 72 - 69 = -3*l - 3*w, -3*l - w = 11 for l.
-5
Solve -4*w + 3*n = 0, 3*w - 5*n = -12 + 1 for w.
3
Solve 0 = -l + 4*x + 1, 0 = -3*l + 9*x - 4*x + 10 for l.
5
Solve 4*m = -d - 4*d - 35, -4*d = m + 17 for m.
-5
Solve 4*l - 14 = 2*l + 2*k, -l + 2*k + 12 = 0 for l.
2
Solve 3*q + 14 + 11 = 2*k, 20 = k - 3*q for k.
5
Solve 4*r + 1 = -3*t - 3, 4*t + 3*r = -3 for t.
0
Solve 663*n - 660*n = 4*s - 22, 0 = 2*n + 4 for s.
4
Solve -2*o - 3*o + h = 25, 4*o - 3*h + 31 = 0 for o.
-4
Solve -2*m - 14 = -3*m + 5*w, -5*m = -2*w - 1 for m.
-1
Solve -9 = 3*v, 6*f - 11*f - v = -12 for f.
3
Solve q - 2*o = 1, -7*o = -3*q - 6*o - 7 for q.
-3
Solve y = m - 1, -8*y - 18 = -4*y + 3*m for y.
-3
Solve 0 = -4*u - h - 1, 5*u - 2*u + 5*h = -22 for u.
1
Solve 5*u = 2*b + 9 + 12, -26 = -3*b - 4*u for b.
2
Solve -4*t = -4*z + 8, 0 = -5*z + 6*z - 5*t + 2 for z.
3
Solve 5*r + 30 = -3*t, -3*r + 0 + 11 = -4*t for t.
-5
Solve -3*p + 2*l = -3, 5*p - 2*l - 2 = p for p.
-1
Solve 5*j = -s - 21, 5*j - 4*j = 2*s - 13 for s.
4
Solve f - n = 3, 4 = 3*f - 7*n + 5*n for f.
-2
Solve -3*h - 4 = -2*f, 3*f - 18 = -3 for h.
2
Solve -4*d = 2*v - 4, 0 = -d - 4*d + v - 9 for d.
-1
Solve 0 = t - 3, 0 = -2*f - t + 6*t - 17 for f.
-1
Solve -4*d = 5*g + 12, 9 = -2*d - 5*g - 7 for d.
2
Solve 4*q + 6 = -10*t + 11*t, 4*t - 2*q + 4 = 0 for t.
-2
Solve 4*a + f - 42 + 58 = 0, 5*a - 5*f + 20 = 0 for a.
-4
Solve 4 = -4*g + y, 2*g - g + 14 = -3*y for g.
-2
Solve -5*c = -2*b - 4*c - 12, -16 = 2*b - 3*c for b.
-5
Solve 5*q - 4*c = -1, -2*c - c = -4*q for q.
3
Solve -14*j - 2*b = -18*j, -5*b = -j + 9 for j.
-1
Solve 2*h + 16 = -3*z, 5*z = 9*z - 5*h - 17 for z.
-2
Solve 0*q + q - 5*l + 17 = 0, 0 = -4*q + 4*l - 20 for q.
-2
Solve -f - 2*c = -9, 5*f - 1 = f - c for f.
-1
Solve 3*v - 9 = -g, v - 3*g = 3*v - 13 for v.
2
Solve -3*d + 2*d + 21 = -5*y, 4*d + 16 = -5*y for y.
-4
Solve 0 = 5*f + 5*r - 4*r - 10, -f + 11 = 2*r for f.
1
Solve -2*v + 5 = 6*m - 7*m, 3*m = -4*v + 25 for v.
4
Solve 0 = 2*b - 4*y + 14, -3*y - y + 8 = 0 for b.
-3
Solve 9*k = 4*k - t - 15, 5*k - t = -5 for k.
-2
Solve 19*m - 37 = 5*j + 23*m, 3*j - 2*m = -9 for j.
-5
Solve 0 = -3*l + 5*z + 9 + 23, -3*z - 12 = 0 for l.
4
Solve 0 = 5*l - 5*w - 15, -4*l = 5*w - 0 - 3 for l.
2
Solve 1 = 3*s + 7, 0 = 4*z + 3*s - 6 for z.
3
Solve 0 = -4*q + 5*h + 24, -360*h + 365*h = q - 21 for q.
1
Solve 2*m + 4*t - 163 + 165 = 0, 0 = 5*m + 5*t for m.
1
Solve -23*c + 20*c = h + 13, -2*c - 20 = -5*h for c.
-5
Solve -s - 3*j = -8*j - 13, 0 = -s - 2*j - 8 for s.
-2
Solve 6*w = -4*x - 10, -2*w + 7*w + 4 = x for x.
-1
Solve 5*h + 12 = 22, -4*h + 8 = -p for p.
0
Solve -3*t + 8 = 2*a, -3*t + 2*a - 5*a + 9 = 0 for t.
2
Solve -5*a - 2*w = 28, 4*w = -a - 9 - 11 for a.
-4
Solve 0 = z - 3*z - 5*r + 30, -3*z + 19 = r for z.
5
Solve 2*i = y + 4*y - 5, -3*i + 1 = y for y.
1
Solve -5*a + 3*k - k = -16, 5*a = 5*k + 10 for a.
4
Solve -6 = 2*m - j + 1, 2*j = 6 for m.
-2
Solve w + 7 = -2*i, 2*i - 4*w - 2 = 6 for i.
-2
Solve 0 = 2*l - 3*v + 5 - 3, -3*l - 3 = 2*v for l.
-1
Solve -16 = 4*s + 4*h + 8, 5*h + 30 = 0 for s.
0
Solve 0 = 3*o - 2*o + 4*c - 29, -20 = o - 3*c for o.
1
Solve l + 3*v + 13 = 0, 4*l = v - 2*v - 8 for l.
-1
Solve 5*f - 5*w - 225 = -235, -f + 2 = 3*w for f.
-1
Solve 0 = 5*x - 9*q + 12*q + 2, 4*x = -4*q for x.
-1
Solve -3*v - 28 = -4*z, 59*v - 63*v - 24 = -2*z for v.
-4
Solve -5*k - i + 9 = 0, -8*i + 11*i - 7 = -5*k for k.
2
Solve 3*c - 3*n - 18 = 0, 0*n = -3*c + n + 10 for c.
2
Solve 5*f + 4*z + 3 = 0, -4*z + z + 18 = -3*f for f.
-3
Solve -2*v - 3*n + 92 - 88 = 0, 11 = -v + 5*n for v.
-1
Solve -4*w - 16 = i, -3*w + 4*w = 4*i + 13 for i.
-4
Solve -4*n - n = k - 9, -3*k + 16 = 4*n for k.
4
Solve -o - 3*o + 26 = 3*j, 16 = -2*j + 4*o for j.
2
Solve 6*o - 5 = o - 2*n, -o - 2*n = -1 for o.
1
Solve 2*l - 20 = -6*j + 4*j, -3*j = 4*l - 35 for j.
5
Solve -37*l + 5 = -5*x - 32*l, 5*l + 4 = -4*x for x.
-1
Solve 4*h = 16, 3*l + 48*h = 47*h - 11 for l.
-5
Solve -7 = 2*j - q, 17*j = 18*j + q - 1 for j.
-2
Solve 2*h + 4*p - 9*p + 20 = 0, 5*h = p - 4 for h.
0
Solve -a - y - 20 = 4*y, -3*a + 2*y = -8 for a.
0
Solve -4*d + 3 = 3*x, -3*x + 50 = -2*d + 29 for x.
5
Solve -2*i = 3*v - 3, 3*v + 23 - 14 = -4*i for v.
5
Solve -w - 2*g = -3*w, -2*w - 3*g = -10 for w.
2
Solve a - 10 - 1 = 3*h, -3*a = 4*h - 7 for a.
5
Solve -3*j + 19 = 2*c, -13 = 166*j - 169*j + c for j.
5
Solve -4*c - 8 = -i, -29*i + 12 = -32*i for c.
-3
Solve x = k + 2, -42*k + 44*k = -2*x for x.
1
Solve 30 = 5*u - 5*q, -4*u = -20*q + 24*q + 24 for u.
0
Solve v - 5*n - 8 = 0, 4*n + 18 = v - 6*v for v.
-2
Solve n = -d - 2*d - 17, -32 = 4*n + 3*d for n.
-5
Solve 3*f + 24 = -3*u, -29*u + 31*u = -f - 12 for u.
-4
Solve -5*k + 4*s = -7*k + 2, 0 = k - s + 5 for k.
-3
Solve -3*y - 5*p = 34, 3*y + 15 + 4 = -2*p for y.
-3
Solve -5*c + 45 = -5*x, -4*x - 2*c - 3 = 9 for x.
-5
Solve 5*j - 4*d = -11, 15*j - 4*d + 20 = 19*j for j.
1
Solve 0 = -2*x - 8, x + 2*x + 6 = 3*w for w.
-2
Solve -2*y - 2*j - j = 17, -3 = j for y.
-4
Solve x = -2*k - 5, 32*k - 28*k + 5*x = -1 for k.
-4
Solve 3*h - 3*m - 6 = 0, 3*m + 13 = -3*h - 5 for h.
-2
Solve 18 = -2*u - 2*b, u - 4*b = 9 + 2 for u.
-5
Solve 10 = 3*m + 5*j, 6 = -3*m - 0*m + 3*j for m.
0
Solve 3*k - 8*k + 5*d - 5 = 0, 4*k = 2*d + 2 for k.
2
Solve -3*v + 2*h + 0 + 1 = 0, h + 3 = 4*v for v.
1
Solve -2*y + 6 = -4*o, 0*y + 21 = -5*y - 2*o for y.
-3
Solve 2*l - 7*l = 2*d - 16, -3*l + 2*d + 16 = 0 for l.
4
Solve -5*r - 3*k = -9 - 1, -3*r + 6 = k for r.
2
Solve 4*k = 8, 0 = -4*g - 4*k + 21 + 7 for g.
5
Solve -24 = -5*w + 2*a + a, 3*a + 9 = 0 for w.
3
Solve -4*w - 6 = -2*l, 4*w + 10 = -l + 1 for w.
-2
Solve 0 = u - 3*x - 6, 3*u + 5*x - 4 = -0*x for u.
3
Solve -2 = 4*u - 2*u + h, 0 = 3*u + 2*h + 1 for u.
-3
Solve 0 = a + 5, -16 = 4*v - 5*a - 21 for v.
-5
Solve -5*c + 4*z - 24 = -9*c, 4*z = -3*c + 21 for c.
3
Solve -9 = k + 5*i - 33, -2*i = -2*k - 12 for k.
-1
Solve -m = -4*l + 11 + 6, -4*m - 32 = -4*l for l.
3
Solve 5*t + 3 = c, 6*t - c = 4*t for t.
-1
Solve 9*a = 4*a + 2*t - 24, 0 = 3*a - t + 14 for a.
-4
Solve -r + 7 = -3*j, -92*j + 87*j = -4*r + 21 for r.
4
Solve 2*l = 7*l + 3*z - 3, 5*z = 5*l - 35 for l.
3
Solve -2*o + 3*o = 4*x - 5, -2*o + 4 = -x for x.
2
Solve -j + 4 = 3*j + 4*b, -25 = 3*j - 4*b for j.
-3
Solve -16 = -4*z - u, 0 = -3*z - z + 3*u for z.
3
Solve 4*h - 3*f = -5, 4*h + 12 = -4*f - 0 for h.
-2
S
|
{
"pile_set_name": "DM Mathematics"
}
|
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