0, -1, 1
Let b(x) = 5*x**2 - 153*x - 57. Let t be b(31). Factor 0 + 8/3*f**4 + 4/3*f**3 + 0*f**2 + 0*f + 4/3*f**t.
4*f**3*(f + 1)**2/3
Let f(x) = -5*x - 15. Let d(t) = -3*t**2. Let b be d(-1). Let s be f(b). Factor -2/7*j**5 + s*j + 0 + 2/7*j**3 + 2/7*j**4 - 2/7*j**2.
-2*j**2*(j - 1)**2*(j + 1)/7
Let n(h) = 7*h**3 + 11*h + 6. Let m(u) = -u**3 - u**2 - 2*u. Let d(y) = 6*m(y) + n(y). Suppose d(c) = 0. What is c?
-1, 1, 6
Let m(w) = 18*w**2 + 9*w - 48. Let q(s) = -305*s**2 - 150*s + 815. Let g(b) = 35*m(b) + 2*q(b). Solve g(j) = 0.
-2, 5/4
Factor 172/3*g - 3698/3 - 2/3*g**2.
-2*(g - 43)**2/3
Let v be -1*(-6*2/(-3) - 4). Let a(o) be the first derivative of 0*o - 2/33*o**3 + 1 + v*o**2. Factor a(g).
-2*g**2/11
Suppose -60 = l - 5*l. Let r = 1736 + -1733. Factor 16*f + 30*f**3 + r*f**5 + 0 + 42*f**2 - f - 3 - l*f**4 - 72*f**2.
3*(f - 1)**5
Let j(n) be the third derivative of -5*n**6/24 + n**5/4 + 5*n**4/12 + 64*n**2. Factor j(t).
-5*t*(t - 1)*(5*t + 2)
Let d(z) be the third derivative of z**6/120 + 13*z**5/60 - z**4/24 - 13*z**3/6 - 4*z**2 + 6. Suppose d(v) = 0. What is v?
-13, -1, 1
Suppose -d - 3*d + 4*m - 8 = 0, -4*m = -16. Let -5*w**2 + w - 33*w + d*w - 25 = 0. What is w?
-5, -1
Let n(d) be the first derivative of 3*d**4/28 - 3*d**2/14 - 899. Determine p so that n(p) = 0.
-1, 0, 1
Suppose 23*y = -0*y. Let x(n) be the third derivative of 0*n + 7*n**2 + 0*n**3 - 1/60*n**5 + 1/210*n**7 + 1/120*n**6 + y - 1/24*n**4. Find i such that x(i) = 0.
-1, 0, 1
Suppose 2*d**4 + 4/3*d**3 + 8/3 - 6*d**2 + 0*d = 0. What is d?
-2, -2/3, 1
Let f(k) be the first derivative of 5*k**6/6 + 2*k**5 - 15*k**4/2 - 100*k**3/3 - 95*k**2/2 - 30*k - 122. Factor f(q).
5*(q - 3)*(q + 1)**3*(q + 2)
Solve 8/11*i**2 + 0 - 10/11*i**3 + 0*i - 4/11*i**4 + 6/11*i**5 = 0 for i.
-4/3, 0, 1
Let s(o) be the second derivative of o**7/105 - 2*o**6/25 - 27*o**5/50 - 2*o**4/15 + 12*o**3/5 + 773*o. Suppose s(r) = 0. What is r?
-2, 0, 1, 9
Let b be ((-132)/(-330))/(1/2). Let z(k) be the second derivative of 0 - 4/3*k**3 - 7/3*k**4 - b*k**5 + 2*k**2 + 12*k. What is f in z(f) = 0?
-1, 1/4
Let c be 6/(-15) + (-90)/25. Let w be (4/(-3))/(c/42). Determine f, given that 1 - 30*f**2 - 1 - 2 - 18*f**3 + 0 - w*f = 0.
-1, -1/3
Solve 0 + 2/9*t**3 + 4/9*t**2 - 2/3*t = 0 for t.
-3, 0, 1
Let l(u) = -46*u - 5. Let h be l(1). Let i = -48 - h. Determine n so that -1/3*n**2 + 1/3*n**4 + 0*n**i + 0*n + 0 = 0.
-1, 0, 1
Let s(m) be the second derivative of 0 + 1/21*m**4 - 1/14*m**5 + 15*m + 0*m**2 + 4/105*m**6 + 0*m**3 - 1/147*m**7. Factor s(d).
-2*d**2*(d - 2)*(d - 1)**2/7
Let u(f) be the first derivative of -5 + 1/4*f**3 + 3/2*f + 9/8*f**2. Find t such that u(t) = 0.
-2, -1
Suppose -14*q - 12 - 2 = 0. Let p be -4 + (q - 190/(-35)). Factor 2/7*l + l**4 - 12/7*l**3 + p*l**2 + 0.
l*(l - 1)**2*(7*l + 2)/7
Let q(k) be the second derivative of 0*k**2 - 1/16*k**5 - 8*k - 5/24*k**4 + 0 + 1/24*k**6 + 0*k**3. Factor q(o).
5*o**2*(o - 2)*(o + 1)/4
Determine b so that 4/5*b**2 + 8/5 - 14/5*b + 2/5*b**3 = 0.
-4, 1
Let x(l) be the first derivative of 4*l**5/5 - 25*l**4 + 796*l**3/3 - 846*l**2 - 2592*l - 559. Let x(s) = 0. What is s?
-1, 8, 9
Let o(x) be the third derivative of x**7/945 + 2*x**6/135 + 7*x**5/90 + 11*x**4/54 + 8*x**3/27 - 443*x**2. Factor o(q).
2*(q + 1)**2*(q + 2)*(q + 4)/9
Factor -69/2*s**2 - 3/2*s**4 + 0 - 39/2*s**3 - 33/2*s.
-3*s*(s + 1)**2*(s + 11)/2
Let p = -418 - -418. Let n(w) be the second derivative of 1/3*w**3 + p - 3*w + 0*w**2 - 1/6*w**4. Factor n(k).
-2*k*(k - 1)
Suppose 2*d + f - 5 = 0, f = 4*d + 5 - 18. Let w(y) be the second derivative of 1/9*y**d - 1/60*y**5 + 0 - 4*y + 0*y**2 + 1/36*y**4. Let w(l) = 0. Calculate l.
-1, 0, 2
Factor 0 - 1/2*g**5 - 11/2*g**4 - 45/2*g**3 - 27*g - 81/2*g**2.
-g*(g + 2)*(g + 3)**3/2
Factor -14/5*w**3 - 126/5*w + 36/5 + 104/5*w**2.
-2*(w - 6)*(w - 1)*(7*w - 3)/5
Let t(g) be the third derivative of -g**6/180 + g**5/5 - 11*g**4/12 + 16*g**3/9 + 18*g**2. Factor t(d).
-2*(d - 16)*(d - 1)**2/3
Let n(r) = 2*r + 3. Let j be n(0). Let v(l) be the first derivative of 9 + l**4 + j*l - 6*l - 13*l + 4*l**3. Factor v(c).
4*(c - 1)*(c + 2)**2
Let b be -3 - (((-8)/(-3) - 7) + 1). Solve 1/3*f**2 - b*f + 0 = 0.
0, 1
Let n(u) = -u**3 - u**2 + u. Let w(a) = 4*a**3 + 4*a**2 - 5*a. Let j be 861/84 + (-1)/4. Let c(m) = j*n(m) + 2*w(m). Factor c(z).
-2*z**2*(z + 1)
Suppose -p - 2*v + 55 = 0, -4*p + 2*p + 105 = -v. Let y = p + -53. Find l, given that 2/5*l - 3/5*l**2 + 1/5*l**3 + y = 0.
0, 1, 2
Factor 2*g - 4*g**3 - 6*g**2 + 29*g**5 - 32*g**5 - 2 + 5*g + 8*g**4.
-(g - 1)**3*(g + 1)*(3*g - 2)
Suppose -21 + 0 = -7*j. Let l be 5 - j - (2 + -2). Suppose 8/5*a**3 + 12/5*a**l + 8/5*a + 2/5 + 2/5*a**4 = 0. What is a?
-1
Suppose 5*x - 2*x + 90 = 3*i, 10 = 5*i. Let l = -26 - x. Factor -4*z**2 + 9*z + z + 3*z**l - z**2 - 8.
-2*(z - 4)*(z - 1)
Let b be (-27)/(-6) + 8/(-2). Suppose -5*p = -3*p - 6. Suppose -3/2*w - 3/2*w**4 + w**2 + b + 1/2*w**5 + w**p = 0. What is w?
-1, 1
Let p(u) be the first derivative of u**4/54 + u**3/3 - 54*u + 51. Let x(m) be the first derivative of p(m). Factor x(a).
2*a*(a + 9)/9
Factor -75*n - 3*n**2 + 71 - 66 - 143.
-3*(n + 2)*(n + 23)
Let y(a) = -a**4 - 102*a**3 + 180*a**2 - 160*a + 50. Let q(g) = g**4 + 52*g**3 - 90*g**2 + 80*g - 25. Let f(o) = -11*q(o) - 6*y(o). Factor f(b).
-5*(b - 5)*(b - 1)**3
Suppose -2*h + 27 = h + 3*c, 3 = 3*h - 3*c. Suppose 8 = 3*z - m, -h*m - 8 - 17 = 0. Let -6*u**2 + 3*u + u + 4*u**3 - z - 9*u**4 + 8*u**4 = 0. What is u?
1
Let f(c) = 2*c. Let j = -6 + 10. Let v be f(j). Factor -5*k**2 - 3*k**3 + 2*k**4 + v*k**2 - k - k**4.
k*(k - 1)**3
Let a(y) = -7*y**2 + 10*y - 80. Let t(h) = 4*h**2 - 4*h + 40. Let k(x) = 6*a(x) + 11*t(x). Factor k(u).
2*(u - 2)*(u + 10)
Let a be 20/150 + (-14)/105. Suppose 4/3*o**4 + a - 2/3*o + 0*o**3 + 2/3*o**5 - 4/3*o**2 = 0. What is o?
-1, 0, 1
Let w(i) = -i + 1. Suppose -4*u + 3*u = 3, -3*u = 4*j + 29. Let o be w(j). Factor o + 2*h**2 + 4*h - 1 - 5.
2*h*(h + 2)
Let q(k) be the third derivative of -1/784*k**8 + 0*k + 0*k**6 + 0 + 1/70*k**5 + 0*k**3 - 12*k**2 + 1/56*k**4 - 1/245*k**7. What is p in q(p) = 0?
-1, 0, 1
Let m(s) = 3 + 5*s**3 - 19 - 3 - 15*s**2 + 27*s. Let d(y) = y**3 - y**2 + y - 1. Let w(c) = 6*d(c) - 2*m(c). Factor w(z).
-4*(z - 2)**3
Let y be (-68)/(-51)*(-6)/(-4). Factor -y*m**2 + 0*m**2 - m**2 + 4*m**2.
m**2
Factor 11*u - 28*u + 19*u - u**2.
-u*(u - 2)
Let n = 12 + -5. Let o be n + (-6 - -4) - 2. Factor -138*t**5 - 5*t**3 + 16*t**2 + 308*t**4 - 58*t**5 - 68*t**3 - 55*t**o.
-4*t**2*(t - 1)*(7*t - 2)**2
Let a be (2*4/8)/((-1)/(-3)). Let o(k) be the first derivative of 3/4*k**2 + 9 - 1/8*k**6 + 0*k + 3/20*k**5 - 5/4*k**a + 9/16*k**4. Let o(p) = 0. What is p?
-2, 0, 1
Let n(w) be the second derivative of -2*w**6/75 + 9*w**5/100 + w**4/30 - 3*w**3/10 + w**2/5 - w - 13. Solve n(l) = 0.
-1, 1/4, 1, 2
Let o = -13 + 16. Suppose -o*t = -26 - 7. Find s, given that -t*s**4 - 8 - 21*s**3 + 22*s**2 - 3*s**4 - 3*s**3 + 24*s = 0.
-2, -1, 2/7, 1
Let x(v) be the third derivative of 27*v**6/280 - 13*v**5/35 + 23*v**4/56 + v**3/7 + 12*v**2 + 13*v. Find l such that x(l) = 0.
-2/27, 1
Let o be -2*(0 + (-12)/8). Solve -5*d**o + 2*d**2 + 4*d**2 + 0*d**4 + 4*d**2 - 5*d**4 = 0 for d.
-2, 0, 1
Let d(k) be the second derivative of 0 - 4*k + 0*k**5 - 1/180*k**6 + 0*k**2 + k**3 + 0*k**4. Let w(l) be the second derivative of d(l). Factor w(m).
-2*m**2
Let c = -27 + 9. Let p be (-21)/(-189) - (-2)/c. Factor 0*h**3 - 4/9*h**4 + 0*h + p + 0*h**2 - 2/9*h**5.
-2*h**4*(h + 2)/9
Suppose -663552/7 + 110592/7*n - 6912/7*n**2 - 2/7*n**4 + 192/7*n**3 = 0. What is n?
24
Factor 0 + 1/6*t**3 - 82/3*t**2 + 163/6*t.
t*(t - 163)*(t - 1)/6
Let g be 6 - 2 - (-2 - (16 - 2)). Let c be (-18)/g*64/(-8). Factor -3/5*k**4 - 39/5*k**2 + c*k + 18/5*k**3 - 12/5.
-3*(k - 2)**2*(k - 1)**2/5
Let c(u) be the second derivative of u**5/90 + u**4/9 - 7*u**3/27 + 2*u - 1. Let c(f) = 0. What is f?
-7, 0, 1
Let c(j) = 8*j**3 - j**2 - 2*j + 2. Let t be c(1). Suppose 4*i - 6*i - 3*z = 11, -3*z = 4*i + t. Factor -8/5*v**3 + 8/5*v**4 + 2/5*v**i + 0 + 0*v.
2*v**2*(2*v - 1)**2/5
Let y(c) be the third derivative of c**9/3780 - c**8/840 + c**7/630 + 7*c**4/8 + 7*c**2. Let h(m) be the second derivative of y(m). Factor h(t).
4*t**2*(t - 1)**2
Let y(r) = 3*r**3 + r**2 + r. Let u