0, 1
Let m(b) = -23*b - 126. Let v be m(4). Let g = 220 + v. Let -1/2*o**3 - 1/2*o + o**g + 0 = 0. What is o?
0, 1
Factor 2/7*k**4 - 32/7*k + 36/7*k**2 + 10/7 - 16/7*k**3.
2*(k - 5)*(k - 1)**3/7
Solve -16/3*v**3 - 32/3*v - 10/3 - 12*v**2 - 2/3*v**4 = 0.
-5, -1
Let f be (-19)/570*(-1)/6. Let g(q) be the third derivative of 0*q**4 + 0*q**3 + 0*q + 12*q**2 + 1/1260*q**7 + 0 - 1/240*q**6 + f*q**5. Factor g(x).
x**2*(x - 2)*(x - 1)/6
Let k(u) be the first derivative of -2*u**4/5 - 4*u**3/15 + 2*u**2 - 8*u/5 + 306. Factor k(q).
-4*(q - 1)*(q + 2)*(2*q - 1)/5
Let x(d) = -3*d**4 - 7*d**3 - 41*d**2 + 99*d - 80. Let s(k) = k**4 + 3*k**3 + 20*k**2 - 50*k + 40. Let p(o) = 10*s(o) + 4*x(o). Factor p(z).
-2*(z - 2)**3*(z + 5)
Let q(v) = v**4 - v**3 - v**2 - 1. Let r(m) = 14*m**5 - 24*m**4 - 10*m**3 - 22*m**2 - 22. Let u(i) = -44*q(i) + 2*r(i). Factor u(h).
4*h**3*(h - 3)*(7*h - 2)
Let s(h) = -2*h**2 - 17*h - 53. Let f(l) = l - 1. Let n = -97 - -100. Let w(i) = n*f(i) - s(i). Find c such that w(c) = 0.
-5
Suppose 5*c - 25 + 10 = 0. Let j(f) = -f**3 - 7*f**2 + 7*f - 6. Let i be j(-8). Factor 3*n + i*n - 2*n + c*n**2 + 3*n**2 - 6 - 3*n**3.
-3*(n - 2)*(n - 1)*(n + 1)
Let h(r) be the third derivative of -3*r**8/392 + 34*r**7/735 + 17*r**6/420 - 71*r**5/105 + 19*r**4/21 + 8*r**3/7 + 45*r**2 + 1. Let h(m) = 0. What is m?
-2, -2/9, 1, 2, 3
Let x(g) be the first derivative of 0*g - 2/3*g**3 + 9 + 0*g**2. Suppose x(m) = 0. What is m?
0
Let u be (-3 + 2)*272/(-1768). Find d, given that 12/13 + u*d**2 + 10/13*d = 0.
-3, -2
Factor -169/6 - 13/3*d - 1/6*d**2.
-(d + 13)**2/6
Let a(j) be the third derivative of -3/280*j**6 + 0*j - 1/784*j**8 + 0*j**4 + 0 - 1/98*j**7 + 9/140*j**5 + 43*j**2 + 0*j**3. Factor a(o).
-3*o**2*(o - 1)*(o + 3)**2/7
Let n(j) be the second derivative of 5*j**7/42 + 43*j**6/24 + 21*j**5/16 - 55*j**4/6 + 25*j**3/6 - 284*j. Let n(m) = 0. What is m?
-10, -2, 0, 1/4, 1
Factor 0*u**2 - 1841 - u**2 - 68*u + 2233 + 256*u - 3*u**2.
-4*(u - 49)*(u + 2)
Let b(i) be the third derivative of i**5/15 - 3*i**4 - 80*i**3/3 + 2*i**2 + 329*i. Suppose b(p) = 0. What is p?
-2, 20
Suppose -3*i - 1048 = -241. Let j = -267 - i. Let -4/3*x**4 + 0*x + 0 + x**3 + 1/3*x**j = 0. What is x?
-1/4, 0, 1
Let g be -3*(15/(-9) - -1). Factor 2*k**3 - 6*k + 2 + 0*k**g - 4*k**3 + 6*k**2.
-2*(k - 1)**3
Suppose -346*v - 22 = 2*u - 342*v, -4*v - 52 = -4*u. Solve 5/6*n**4 + 0 - 25/6*n**3 + 0*n + 5/6*n**u + 5/2*n**2 = 0 for n.
-3, 0, 1
Let d(a) = -a**2 - 27*a + 160. Let r be d(-32). Let i(t) be the second derivative of r*t**3 + 1/60*t**4 + 0 - 1/100*t**5 - 8*t + 0*t**2. Solve i(n) = 0.
0, 1
Suppose -4*s + 3 = v, -v + 5 = -s + 2. Factor -p + s - 4 + 9*p - 4*p**2.
-4*(p - 1)**2
Let c(w) = -3*w**3 - 77*w**2 - 53*w. Let p(g) = -g**3 - 39*g**2 - 26*g. Let f(i) = 4*c(i) - 7*p(i). Factor f(q).
-5*q*(q + 1)*(q + 6)
Factor 4/3*i + 1 + 1/3*i**2.
(i + 1)*(i + 3)/3
Factor -78*x**3 + 39*x**3 + 5*x**4 + 3*x**4 + 20*x**2 + 22*x**2 - 11*x**4.
-3*x**2*(x - 1)*(x + 14)
Suppose -53*u**3 + 107*u**3 - 3*u**4 + 2*u**4 - 51*u**3 = 0. Calculate u.
0, 3
Let h(w) = 20*w**4 + 44*w**3 + 44*w**2 - 60*w - 56. Let r(k) = 7*k**4 + 14*k**3 + 15*k**2 - 20*k - 19. Let q(z) = 3*h(z) - 8*r(z). What is f in q(f) = 0?
-4, -1, 1
Suppose 4*s = -s + 25. Suppose -s*x = 14 - 34. Let 2 + 4*v**3 + 11*v**2 - 2*v + x*v - 3 - 4*v**2 = 0. What is v?
-1, 1/4
Let j(r) be the first derivative of -2*r**3/21 - 15*r**2/7 - 25. Determine o, given that j(o) = 0.
-15, 0
Let c(y) = -7*y**4 + 83*y**3 - 113*y**2 + 45*y + 8. Let i(h) = -5*h**4 + 55*h**3 - 75*h**2 + 30*h + 5. Let d(w) = 5*c(w) - 8*i(w). What is a in d(a) = 0?
0, 1, 3
Let k = 340 + -325. Factor 5/2*o**4 - 25*o + 30*o**2 + 15/2 - k*o**3.
5*(o - 3)*(o - 1)**3/2
Let l(r) = 0*r + 5*r**4 - 11*r**2 + 10*r**3 - 7*r**3 + 4 - r. Let p(a) = 6*a**4 + 3*a**3 - 12*a**2 + 3. Let j(q) = -3*l(q) + 2*p(q). Factor j(d).
-3*(d - 1)**2*(d + 1)*(d + 2)
Let z(r) = r**3 + r**2 + r - 3. Let q(y) = 6 + 1 - 3*y**3 - 596*y**2 - 3*y + 595*y**2. Let n(x) = 6*q(x) + 14*z(x). Find o such that n(o) = 0.
0, 1
Let d(u) = -u**3 - 9*u**2 - 12*u + 16. Let y be d(-7). Let -97*h**3 + 117*h**3 + 5*h**2 + 10*h**y + 5*h**4 = 0. What is h?
-3, -1, 0
Let a = 74 + -5. Let n = a - 65. Find p, given that 20/7*p + 8/7 - 6/7*p**2 - 5/7*p**n - 17/7*p**3 = 0.
-2, -2/5, 1
Suppose 7 = 4*s - 5. Suppose 2*r + 3*w - 15 = -3*r, 0 = s*r + 4*w - 9. Let -3/2*h + 0*h**2 + 3/2*h**r + 0 = 0. Calculate h.
-1, 0, 1
Let l be 117/5 + (-54)/(-36)*(-1 + -5). Factor 24/5*n**4 - l*n**3 + 96/5*n**2 + 0 - 48/5*n - 3/5*n**5.
-3*n*(n - 2)**4/5
Let w(d) be the third derivative of -5*d**8/336 + 3*d**7/14 - 5*d**6/6 + d**5 + 8*d**2 + 4*d. Find p, given that w(p) = 0.
0, 1, 2, 6
Let l(n) be the second derivative of -n**6/1260 + n**5/30 - 13*n**4/84 + 20*n**3/3 + 48*n. Let r(g) be the second derivative of l(g). Factor r(m).
-2*(m - 13)*(m - 1)/7
Let u(s) = -4*s**3 + 20*s**2 + 28*s - 2. Let g(h) = 11*h**3 - 58*h**2 - 81*h + 5. Let p(d) = -6*g(d) - 17*u(d). Factor p(q).
2*(q + 1)**2*(q + 2)
Suppose -3*m - 2*t + 7 = -3, -6 = -4*m + t. Find z, given that 1/5*z**m + 1/5*z - 1/5 - 1/5*z**3 = 0.
-1, 1
Suppose -8*h**4 - 12*h**4 + 76*h**2 + 54*h**2 + 22*h**2 + 40*h + 6*h**4 + 38*h**3 = 0. Calculate h.
-2, -2/7, 0, 5
Let o(a) be the second derivative of -2/9*a**3 + 1/180*a**5 + 0*a**4 + a**2 + 0 - 7*a. Let w(m) be the first derivative of o(m). Factor w(z).
(z - 2)*(z + 2)/3
What is b in -3/2*b**3 - 21/2*b**2 - 66 + 60*b = 0?
-11, 2
Let l(i) be the first derivative of i**5/5 + i**4/4 - i**3/3 - i**2/2 + 70. Let l(b) = 0. Calculate b.
-1, 0, 1
Let y(g) = -7*g**3 + 7*g**2 + 37*g + 5. Let r(t) = 4*t**3 - 3*t**2 - 19*t - 3. Let b(d) = 5*r(d) + 3*y(d). Let b(w) = 0. What is w?
-2, 0, 8
Let a(m) = 3*m**2 - 5*m - 4. Let t(w) = 2*w**2 + 1. Let i(u) = 3*a(u) - 6*t(u). Solve i(g) = 0 for g.
-3, -2
Let d be 44/30*(-810)/(-1782). Let q be (2/7)/((-6)/(-14)). Factor d*h**2 - 1/3*h**5 + 1/3 - q*h**3 - h**4 + h.
-(h - 1)*(h + 1)**4/3
Let x = -424383/217 + 13688/7. Let n = 1/31 - x. Find o, given that -n*o**3 + 8/7*o**2 - 10/7*o + 4/7 = 0.
1, 2
Let l(w) be the first derivative of -w**6/75 - w**5/50 + w**4/10 + w**3/3 + 2*w**2/5 - 40*w + 55. Let x(g) be the first derivative of l(g). Factor x(a).
-2*(a - 2)*(a + 1)**3/5
Let i(p) = 0*p - p**2 - 8 + 9 + p**3 + 0 + p. Let t(u) = -6*u**3 - 26*u**2 + 356*u - 1338. Let z(a) = -35*i(a) - 5*t(a). Suppose z(s) = 0. What is s?
11
Determine u so that 96/5*u + 0 - 3/5*u**3 - 12/5*u**2 = 0.
-8, 0, 4
Let s = -9115 + 45579/5. Find x, given that -s*x + 0 - 1/5*x**3 + 4/5*x**2 = 0.
0, 2
Let t = -81 + 83. Let d(w) = -9*w + 3. Let a(y) = -y**2 - 10*y + 2. Let p(z) = t*d(z) - 3*a(z). Let p(q) = 0. What is q?
-4, 0
Let c = 1763/1177 + 5/2354. Factor 15/4*o**5 + 27/4*o**3 - 39/4*o**4 + 3/4*o**2 - c*o + 0.
3*o*(o - 1)**3*(5*o + 2)/4
Let h = 25 - -27. Solve -57*o**5 + 53*o**2 + 55*o + 17*o**2 + h*o**5 + 15 - 5*o**4 + 30*o**3 = 0 for o.
-1, 3
Let p be (4 - 4/3)/(29/((-58)/(-12))). Find i such that -2/9*i**4 - p*i**3 + 0*i**2 + 2/9 + 4/9*i = 0.
-1, 1
Let z = 5491/5 + -1098. Let j(g) be the first derivative of -z*g**2 - 1/15*g**3 - 1/5*g + 8. Solve j(y) = 0.
-1
Let u = -13 - -10. Let h(l) = -2*l**2 - 2*l. Let j(d) = -d - 7. Let i be j(-5). Let c(o) = 2*o**2 + 3*o + 1. Let r(v) = i*c(v) + u*h(v). Factor r(m).
2*(m - 1)*(m + 1)
Let y be (128/10)/4 - 4. Let c = y - -13/10. Factor -1/2*a**4 + a**3 + 0 + 0*a - c*a**2.
-a**2*(a - 1)**2/2
Suppose 0 = -34*v + 36*v. Let l(b) be the first derivative of 3/16*b**4 + v*b**3 + 4 - 3/2*b - 9/8*b**2. Factor l(r).
3*(r - 2)*(r + 1)**2/4
Determine x so that -x**2 - 18*x + 16 - 64 - 2*x**2 - 6*x = 0.
-4
Determine y, given that -1007*y - 1039*y + 2*y**2 - 60 + 2072*y = 0.
-15, 2
What is g in 2/7*g**5 + 30*g - 72/7 - 24/7*g**4 + 108/7*g**3 - 32*g**2 = 0?
1, 3, 4
Factor -3*l**4 - 4*l**3 + l**4 + 53*l - 49*l + 2*l**2.
-2*l*(l - 1)*(l + 1)*(l + 2)
Let b(m) be the first derivative of 2*m**3/21 + 3*m**2 - 44*m/7 - 57. Factor b(d).
2*(d - 1)*(d + 22)/7
Suppose -4*g = -12 - 0. Suppose -m = m - 4*x + 16, -g*m + 31 = 5*x. Factor -4*f + f**2 + 5 + 2*f - 6 - m*f**2.
-(f + 1)**2
Let u(k) be the second derivative of 0*k**4 + 1/75*k**6 - 2/25*k**5 + 22*k + 0*k**3 + 0 + 0*k**2. Factor u(g).
2*g**3*(g - 4)/5
Let g be 4 + (-15)/(-5) + -3. Suppose 2 + g = 