2 = 0.
-2, -1, 0, 6
Suppose -640*x = -633*x. Let v(y) be the first derivative of -1/3*y**3 + x*y**2 + 0*y - 1/6*y**6 - 3/4*y**4 - 4 - 3/5*y**5. Find d such that v(d) = 0.
-1, 0
Let z(c) be the third derivative of -c**5/330 + 5*c**4/66 + 8*c**3/11 - 9*c**2 + 6*c. Let z(o) = 0. Calculate o.
-2, 12
Let h(j) be the second derivative of j**6/25 - 2*j**5/25 - j**4/6 + 2*j**3/15 + 565*j. Find z such that h(z) = 0.
-1, 0, 1/3, 2
Let d(m) be the third derivative of 0 - 22*m**2 + 0*m + 0*m**3 - 3/25*m**5 + 1/560*m**8 + 9/40*m**4 - 1/100*m**6 + 2/175*m**7. Factor d(l).
3*l*(l - 1)**2*(l + 3)**2/5
Let w(k) be the second derivative of 8*k**7/105 + 82*k**6/75 + 126*k**5/25 + 157*k**4/15 + 32*k**3/3 + 24*k**2/5 + 9*k. Solve w(i) = 0 for i.
-6, -2, -1, -1/4
Let r be (10 - 231)*(0 + -1). Let k = r + -1987/9. Find t such that -k - 2/3*t + 8/9*t**2 = 0.
-1/4, 1
Let u(j) be the first derivative of 3*j**5/25 - 21*j**4/5 + 132*j**3/5 + 1344*j**2/5 + 3072*j/5 - 178. What is i in u(i) = 0?
-2, 16
Let u(f) be the first derivative of -f**4/10 + 2*f**3/15 - 102. Factor u(v).
-2*v**2*(v - 1)/5
Let t be (12/15)/((-4)/(-15)). Solve 0*y + 2/7*y**t + 0 - 4/7*y**2 = 0.
0, 2
Let v(a) be the first derivative of 2*a**6/3 + 16*a**5/5 - 5*a**4 + 137. Factor v(g).
4*g**3*(g - 1)*(g + 5)
Let u be -4 + -2 - ((-100)/15)/1. Factor -u - 1/3*c**2 + c.
-(c - 2)*(c - 1)/3
Let k(o) = -9*o - 87. Let w be k(-10). Let y = -22 + 86. Factor -2*n - w*n**3 - 59*n**2 + y*n**2 + n**4 - n**3.
n*(n - 2)*(n - 1)**2
Suppose 4*l + 1 = 5*l. Let j be 0 - -4 - (-1 + l). Factor -j*b**2 - 18*b - 35 + b**2 + 8.
-3*(b + 3)**2
Let y be (3 + -13)/((-2)/1). Suppose y*d = -5*s, -2*s = -0*d + d. Factor s - 2/3*h + 2/3*h**2.
2*h*(h - 1)/3
Let j be (-23)/(-12) - 587/(-7044). What is b in -4/5*b - 2/5*b**j + 0 = 0?
-2, 0
Let b(m) be the first derivative of 55/2*m**4 + 5/2*m**2 + 15/2*m**6 + 0*m + 27 - 40/3*m**3 - 24*m**5. Solve b(p) = 0 for p.
0, 1/3, 1
Let p(q) be the first derivative of 7*q**3/3 - q**2 + 2*q - 46. Let n be p(1). Suppose -25/3*u**4 + 4/3 + n*u**2 + 20/3*u**3 - 20/3*u = 0. Calculate u.
-1, 2/5, 1
Let c(k) be the first derivative of -2*k**3/57 - 3*k**2/19 + 36*k/19 + 34. Factor c(f).
-2*(f - 3)*(f + 6)/19
Let q(i) be the second derivative of 1/6*i**3 + i**2 + 0 - 1/4*i**4 - 1/20*i**5 - 16*i + 1/30*i**6. Suppose q(r) = 0. What is r?
-1, 1, 2
Let v(i) be the second derivative of -i**4/4 - 12*i**3 - 69*i**2/2 + 4*i - 2. Suppose v(x) = 0. What is x?
-23, -1
Let y(a) be the third derivative of -a**5/20 + a**3/2 + a**2 + 11*a. Factor y(o).
-3*(o - 1)*(o + 1)
Find a such that 2/7*a**2 + 12/7*a + 16/7 = 0.
-4, -2
Let x = -3114 - -3117. Suppose f - 23 = 2*f + 5*v, -v = 4*f - 3. Factor 1/4*l**x - 1/4*l + 1/4*l**f - 1/4.
(l - 1)*(l + 1)**2/4
Suppose 0 = 5*k - y - 59, -4*k + 0*k - 5*y + 53 = 0. Suppose 0 = 2*g + 2*g + k, -a - g = -20. Factor 31*h + 200*h**2 - 205*h**2 - h - 22 - a.
-5*(h - 3)**2
Let x = -34 + 31. Let l = -1 - x. Solve -34*q - 6*q - 10*q**2 - 100 + 6*q**l = 0.
-5
Factor -c**3 - 2*c**4 - 323373*c**2 - c**5 + 323373*c**2.
-c**3*(c + 1)**2
Let o = -91 + 105. Factor -47*g**2 + 13*g**2 + 10*g**2 - 5*g**3 + o*g**2.
-5*g**2*(g + 2)
Let q = -2512 + 2517. Factor -3/4*k**3 + 9/8*k - 3/8 + 9/8*k**4 - 3/4*k**2 - 3/8*k**q.
-3*(k - 1)**4*(k + 1)/8
Let o(p) = 5*p**2 - 15*p + 2. Let v(d) = d**2 + 7*d + 9. Let t be v(-6). Let l(q) = -6*q**2 + 15*q - 3. Let h(a) = t*o(a) + 2*l(a). Factor h(i).
3*i*(i - 5)
What is u in -55*u + 12*u**2 - 13*u - 64 + 20*u + 3*u**2 - u**3 = 0?
-1, 8
Let a(q) = 3*q**5 + 13*q**4 - 5*q**3 - 5*q - 5. Let x(h) = 8*h**5 + 32*h**4 - 12*h**3 - 12*h - 12. Let o(z) = -12*a(z) + 5*x(z). Factor o(y).
4*y**4*(y + 1)
Factor 7*s + 19*s**3 - s**4 - 2*s**2 - 7*s - 16*s**3.
-s**2*(s - 2)*(s - 1)
Let -236*w**3 + 260*w**2 - 2365*w - 77*w**3 + 110*w**4 - 15*w**5 + 2305*w + 38*w**3 = 0. Calculate w.
0, 1/3, 2, 3
Let l(j) be the second derivative of -j**6/15 + 11*j**5/10 - 4*j**4/3 - 20*j**3/3 + 3*j + 60. Factor l(k).
-2*k*(k - 10)*(k - 2)*(k + 1)
Let t = 20 - 18. Solve 111*y + 10*y**3 + 117*y - 2*y**4 - t*y**5 - 16 - 2*y**4 - 236*y + 20*y**2 = 0 for y.
-2, -1, 1, 2
Suppose -190*x = -33*x - 471. Factor 3/4*u**5 + 0*u**2 + 0*u**x + 0 + 3/2*u**4 + 0*u.
3*u**4*(u + 2)/4
Factor 4 + 4/5*r**3 + 12/5*r**2 - 36/5*r.
4*(r - 1)**2*(r + 5)/5
Let s be (-18)/(-4) + (-6)/12. Let f(i) = -9*i**3 + 5*i**2 + 7*i + 8. Let n(z) = 8*z**3 - 4*z**2 - 8*z - 8. Let t(h) = s*f(h) + 5*n(h). Solve t(g) = 0 for g.
-1, 2
Let u = 5 - 0. Suppose -5*a = -v, -a + 2*a = -u*v. Let v*p**4 - 5*p**4 + 7*p - p + 3 + 2*p**4 - 6*p**3 = 0. Calculate p.
-1, 1
Let v(u) = 8*u**3 + 2*u**2 - u. Let r be v(1). Let d = -145 - -148. Factor -21/4*t**2 - r*t + d.
-3*(t + 2)*(7*t - 2)/4
Let s be (-4)/6*(-6)/4. Let z be -6*1/(-2)*s. Determine q, given that 2*q**3 - q**2 + 0*q**z + 0*q**3 - 2*q + 1 = 0.
-1, 1/2, 1
Let k = 10 + -3. Suppose 2*g - z + 3 - 4 = 0, 4*g - 5*z = -k. Let -15*l + 62*l**2 - 20 - 119*l**2 + 62*l**g = 0. What is l?
-1, 4
Let p(s) be the first derivative of -1/7*s**2 - 1/7*s**3 + 2/21*s**4 + 2 - 3*s. Let y(t) be the first derivative of p(t). Determine x, given that y(x) = 0.
-1/4, 1
Let 0 + 9/4*a**4 - 3*a**3 + 0*a + 0*a**2 + 3/4*a**5 = 0. What is a?
-4, 0, 1
Let n be 5 - (24642/5558 + (-8)/(-14)). Let r = n + 1195/794. Let -9/4*k**3 + 0 + 3/4*k**4 + r*k**2 + 0*k = 0. Calculate k.
0, 1, 2
Let i(z) be the first derivative of -1/9*z**3 + 2/3*z + 1/6*z**2 - 4. Factor i(q).
-(q - 2)*(q + 1)/3
Let t(k) be the first derivative of -k - 4*k**4 + 3 + 16/3*k**3 + 1/2*k**2. Factor t(m).
-(m - 1)*(4*m - 1)*(4*m + 1)
Let k(w) be the second derivative of -2/15*w**6 - 2*w + 0*w**4 + 0 + 0*w**2 + 3/5*w**5 + 0*w**3. Let k(r) = 0. What is r?
0, 3
Let n(v) be the third derivative of 0*v + 7/75*v**5 + 1/25*v**6 - 7*v**2 + 0 - 4/15*v**3 - 1/30*v**4. Solve n(c) = 0.
-1, -2/3, 1/2
Suppose -f = 3*f + 3*g + 23, -3*g - 28 = 5*f. Let s(z) = -z**3 - 5*z**2 + 3. Let a be s(f). Determine u, given that 14/3*u - 10/3*u**2 + 2/3*u**a - 2 = 0.
1, 3
Find j such that -2/3*j**4 - 128*j**2 - 52/3*j**3 + 0 - 192*j = 0.
-12, -2, 0
Let x(r) be the third derivative of 1/60*r**6 + 0*r**3 + 1/12*r**5 + 1/24*r**4 - 4/105*r**7 + 0 - 18*r**2 + 0*r. Factor x(q).
-q*(q - 1)*(2*q + 1)*(4*q + 1)
Let z(i) be the first derivative of -i**5/30 - i**4/6 - 6*i - 42. Let x(r) be the first derivative of z(r). Factor x(f).
-2*f**2*(f + 3)/3
Let p(z) be the second derivative of 6*z**6/5 - 214*z**5/5 - 169*z**4 - 224*z**3 - 104*z**2 - 223*z. Suppose p(x) = 0. What is x?
-1, -2/9, 26
Factor -1/5*g**3 - 18/5*g + 11/5*g**2 + 0.
-g*(g - 9)*(g - 2)/5
Suppose 3*a - 189 = -36. Find i such that -2*i**2 + a*i**3 - 55*i**3 - 4*i - i**4 - 4*i**2 - 1 = 0.
-1
Let q(y) = y**2 - 37*y + 44. Let i(j) = j**2 - 25*j + 29. Suppose -z + g - 21 = 4*z, 3*z = 3*g - 3. Let x(m) = z*q(m) + 8*i(m). Factor x(f).
3*(f - 4)*(f - 1)
Factor -2/9*u**2 - 20/9*u - 32/9.
-2*(u + 2)*(u + 8)/9
Factor -5*b**4 - 194688*b**2 + 2*b**4 - 350957568 - 56*b**3 + 454*b**3 + 850*b**3 + 13498368*b.
-3*(b - 104)**4
Let w(m) be the third derivative of -m**8/120 + 17*m**7/175 - 91*m**6/300 + 19*m**5/50 - m**4/6 + 2*m**2 + 38*m. Suppose w(c) = 0. What is c?
0, 2/7, 1, 5
Let w = 1698/5 - 336. Solve -18/5*c + 2*c**2 - 14/5*c**4 + 4/5 + w*c**3 = 0 for c.
-1, 2/7, 1
Solve -u**5 + 5*u**2 - 27*u**3 + 5*u**2 - 4*u**3 - 15*u**3 - 13*u**4 - 125 + 175*u = 0 for u.
-5, 1
Find y such that 14/5*y + 2/5*y**3 - 22/5*y**2 + 294/5 = 0.
-3, 7
Find u, given that 216 - 7240/3*u**3 - 4344*u + 200/3*u**4 + 66242/3*u**2 = 0.
1/10, 18
Let c(b) be the first derivative of -2/13*b**4 - 6/13*b + 11/13*b**2 - 15 - 16/39*b**3. Find p, given that c(p) = 0.
-3, 1/2
Suppose -v + 2*p + 3*p - 11 = 0, -3*p + 13 = v. Factor -4 + 2 + x**v + 2.
x**4
Let u = -62 - -2725/44. Let l = u + 103/220. Factor -1/5*n**3 + l - 2/5*n**2 + 1/5*n.
-(n - 1)*(n + 1)*(n + 2)/5
Let o(x) be the second derivative of x**5/30 - 5*x**4/6 + 3*x**3 - 13*x**2/3 - 27*x + 1. Let o(z) = 0. Calculate z.
1, 13
Suppose -227*k + 226*k = -4. Let f(t) be the first derivative of 1/8*t**6 - t + 17/16*t**4 - t**2 + 1/4*t**3 + 13/20*t**5 + k. Find h, given that f(h) = 0.
-2, -1, 2/3
Find a such that 33/4*a - 1/4*a**4 + 65/4*a**2 + 31/4*a**3 + 0 = 0.
-1, 0, 33
Let b(o) = -o**3 - o**2 + 2*o + 1. Let g be b(0). Factor 1 - 2*n**3 - g 