1, 0, 1
Determine w so that 40 - 2*w**2 - 176/3*w + 2/3*w**4 + 20*w**3 = 0.
-30, -2, 1
Let a(x) be the second derivative of -x**5/5 - 52*x**4 - 4056*x**3 + 371*x. Determine g so that a(g) = 0.
-78, 0
Let s = 5692 + -17075/3. Let h(c) be the second derivative of 1/3*c**4 - s*c**3 - 2/15*c**6 + 0 + 0*c**2 + 1/21*c**7 - 22*c + 0*c**5. Factor h(g).
2*g*(g - 1)**3*(g + 1)
Let a = -14794 - -14796. Let n(m) be the third derivative of -9/88*m**4 - 1/1320*m**6 + 0*m + 3/220*m**5 + 0 + 36*m**a + 9/22*m**3. Find j such that n(j) = 0.
3
Let g(a) = 3*a**3 + 29*a**2 - 322*a - 970. Let u(o) = 20*o**3 + 210*o**2 - 2255*o - 6795. Let f(r) = 15*g(r) - 2*u(r). Suppose f(t) = 0. What is t?
-8, -3, 8
Let a(b) be the second derivative of -b**4/72 - 207*b**3 - 1156923*b**2 - 3*b - 301. What is y in a(y) = 0?
-3726
Let o be (-3)/(-2)*(-6 - 52/(-6)). Suppose 20 = 3*m - m - p, 0 = o*m + 4*p - 52. Factor 3*f - m*f + 50 - 212 - 28*f - 2*f**2.
-2*(f + 9)**2
Let x(u) = 7*u + 1. Let g be x(1). Suppose 12*w - 40 = g*w. Factor -8 + w + 4 + 12*r**2 - 3*r**3 - 15*r.
-3*(r - 2)*(r - 1)**2
Let g = 783/5 + -156. Let b = -3122/5 + 625. What is v in -b*v**4 + g*v**2 + 6/5*v**3 + 0 - 6/5*v = 0?
-1, 0, 1, 2
Let r(o) be the second derivative of o**6/15 - 2*o**5 + 21*o**4 - 108*o**3 + 297*o**2 - 631*o + 5. Solve r(b) = 0.
3, 11
Let i(t) be the third derivative of -t**8/84 + 29*t**7/105 + 53*t**6/20 - 84*t**5 - 108*t**4 - 2379*t**2. Solve i(g) = 0 for g.
-9, -1/2, 0, 12
Let h be 605/(-66) + 8 - (-660)/504. Find q such that 6/7 - h*q**3 - q**2 + 1/7*q + 1/7*q**4 = 0.
-2, -1, 1, 3
Let r = 1311445 + -1311442. Find k such that r*k**5 - 298/3*k + 215*k**2 + 40/3 - 547/3*k**3 + 151/3*k**4 = 0.
-20, 2/9, 1
Let r(a) = a**3 - a + 2. Let w be r(1). Find o such that -2 + 117*o + 3*o**w - 7*o**3 - 114*o + 3*o**4 + 0 = 0.
-2/3, 1
Let v(i) be the third derivative of -45*i - 1/15*i**6 + 0 - 8/3*i**3 + 2/105*i**7 + 4/3*i**4 + 3*i**2 - 1/5*i**5. Let v(u) = 0. What is u?
-2, 1, 2
Let m(v) be the first derivative of -4*v**4/15 + 4*v**3/5 - 9*v**2/10 + 25*v + 50. Let t(d) be the first derivative of m(d). What is n in t(n) = 0?
3/4
Let p(c) be the first derivative of c**5/10 + 69*c**4/4 + 91*c**3/2 + 34*c**2 + 570. Suppose p(u) = 0. What is u?
-136, -1, 0
Let c(g) be the third derivative of -g**7/42 + 23*g**6/24 + 79*g**5/12 - 115*g**4/24 - 65*g**3 + 2*g**2 - 19*g - 6. Determine s, given that c(s) = 0.
-3, -1, 1, 26
Let x(v) = 25*v**4 + 1176*v**3 - 7291*v**2 + 4307*v - 13. Let u(o) = -6*o**4 - 295*o**3 + 1823*o**2 - 1077*o + 3. Let q(a) = 13*u(a) + 3*x(a). Factor q(s).
-s*(s - 5)*(s + 108)*(3*s - 2)
Let g(d) be the first derivative of -203 + 15*d**2 - 2/3*d**3 - 1/6*d**4 - 54*d. What is v in g(v) = 0?
-9, 3
Let v be (-1)/(-3) + 48/30 + (-24)/(-60). Let q(c) be the first derivative of -12*c - v*c**3 + 8 - 8*c**2 - 1/4*c**4. Factor q(y).
-(y + 2)**2*(y + 3)
Suppose -d - 214 = -4*t, -2*d + 98 + 4 = 2*t. Factor 35*c**4 - 83*c**4 + t*c**4 - 50*c**3.
5*c**3*(c - 10)
Suppose 2*b = -7*j - 106, -3*b + 73 = 1267*j - 1271*j. Factor 0*x + 22/5*x**b + 2/5*x**4 + 0 - 52/5*x**2.
2*x**2*(x - 2)*(x + 13)/5
Let j(q) be the third derivative of -13/42*q**4 - 2 + 0*q - 25/21*q**3 - 1/210*q**5 + 36*q**2. Let j(u) = 0. Calculate u.
-25, -1
Suppose 0 = -0*t + 68*t - 204. Suppose 9 = 3*s - t*q - 3, 0 = 4*q - 16. Factor 16/5*k**3 - s*k**2 - 2/5 + 17/5*k.
(k - 2)*(4*k - 1)**2/5
Factor -3655/4*q - 5/4*q**3 - 3055/2 - 155/2*q**2.
-5*(q + 2)*(q + 13)*(q + 47)/4
Suppose 108/11*o - 126/11*o**4 - 810/11 - 24/11*o**5 + 1224/11*o**2 + 204/11*o**3 = 0. Calculate o.
-5, -3, -1, 3/4, 3
Let l = -1/8995 + 674633/71960. Let z(s) be the second derivative of 0 - l*s**2 - 1/16*s**4 - 20*s - 5/4*s**3. Suppose z(u) = 0. Calculate u.
-5
Let i(k) be the first derivative of 5*k**3/3 + 285*k**2/2 - 900*k - 687. Factor i(d).
5*(d - 3)*(d + 60)
Suppose 5*u - 22 = 2*w, -2 = -3*u - w + 9. Factor -28*d**2 + 1862*d**4 - 1866*d**u - 20*d**3 - 4*d - 8*d.
-4*d*(d + 1)**2*(d + 3)
Let y(l) be the second derivative of 5/2*l**2 + 36*l + 5/2*l**3 + 5/6*l**4 + 1. Factor y(z).
5*(z + 1)*(2*z + 1)
Let n = -561 - -566. Suppose 0 = n*o - 7 + 27, -o - 12 = -4*m. Solve 2/9*g**m + 8/3*g + 8 = 0 for g.
-6
Let l = -15/217 - -181/2170. Let f(d) be the second derivative of -1/7*d**2 - 1/7*d**3 - l*d**5 + 0 + 14*d - 1/14*d**4. Solve f(t) = 0.
-1
Suppose -34420*r + 34396*r + 12 = 2*c, 3*r - 78 = 4*c. Find q such that 0 + 0*q**r + 21/5*q**3 + 3/5*q**4 + 0*q = 0.
-7, 0
Let a = -2393 - -2398. Suppose 0 + 0*h + 3*h**2 + 3/4*h**a + 9/2*h**4 + 27/4*h**3 = 0. Calculate h.
-4, -1, 0
Let d = 3686/5 + -734. Let a(s) be the second derivative of -8/3*s**4 + 0 - 2*s**2 + 14/3*s**3 + 23*s - d*s**5. Determine m, given that a(m) = 0.
-1, 1/4
Factor 2/13*l**4 + 14/13*l + 10/13*l**3 + 18/13*l**2 + 4/13.
2*(l + 1)**3*(l + 2)/13
Let t = -10707 + 10709. Let y(f) be the first derivative of 1/5*f**5 - 5 + 1/3*f**3 - 2*f - 3/2*f**t + 3/4*f**4. What is m in y(m) = 0?
-2, -1, 1
Let o(i) be the third derivative of i**6/150 + 42*i**5/25 - i**4/30 - 84*i**3/5 - 805*i**2 - 2*i. Factor o(r).
4*(r - 1)*(r + 1)*(r + 126)/5
Let y(t) be the second derivative of t**6/315 - 11*t**5/210 + 5*t**4/21 - t - 188. Factor y(j).
2*j**2*(j - 6)*(j - 5)/21
Factor -1/6*m**5 + 4/3*m**4 - 14/3*m + 19/3*m**2 + 4/3 - 25/6*m**3.
-(m - 2)**3*(m - 1)**2/6
Factor -741350*u**3 + 741351*u**3 - 160*u - 157*u**2 + 77 + 239.
(u - 158)*(u - 1)*(u + 2)
Let f be 2 + 8/16*5. Let r(i) be the second derivative of -f*i**2 + 0 + 6*i - 1/12*i**4 - i**3. Factor r(m).
-(m + 3)**2
Determine i, given that -428*i**2 + 8217 - 5*i**3 + 3*i**3 - 15577 + 6*i**3 - 3616*i = 0.
-4, 115
Let f(w) be the third derivative of 0*w + 0 - 5/48*w**4 + 139*w**2 - 1/240*w**6 + 1/30*w**5 + 1/6*w**3. Let f(i) = 0. Calculate i.
1, 2
Suppose -527*f - 132*f + 1014 = -152*f. Find z, given that -3/8*z**3 - 3/4 + 0*z**f + 9/8*z = 0.
-2, 1
Let o be 45/24 + (2 - (0 + 5)). Let f = 11/8 + o. Suppose 1/4*z + f*z**2 + 0 = 0. What is z?
-1, 0
Factor -2/9*u**3 - 122/9*u**2 - 352/9*u - 232/9.
-2*(u + 1)*(u + 2)*(u + 58)/9
Let i = -1799138 - -5397415/3. Factor 6724/3 + i*j**2 + 164/3*j.
(j + 82)**2/3
Let v(l) = -15*l**3 - 60*l**2 - 315*l + 408. Let x(z) = 32*z**3 + 119*z**2 + 629*z - 819. Let g(y) = -13*v(y) - 6*x(y). Factor g(t).
3*(t - 1)*(t + 10)*(t + 13)
Let u(r) = 77*r**3 - 43*r + 43. Let o be u(1). Suppose -72*d = -o*d. Solve -1/3*q**4 + d - 13/3*q**2 - 2*q - 8/3*q**3 = 0 for q.
-6, -1, 0
Let u(z) = -2*z**2 + 15041*z - 11100503. Let k(s) = -s**2 - 47*s + 1. Let f(t) = -3*k(t) - u(t). Factor f(j).
5*(j - 1490)**2
Suppose -43*v - 7 = -42*v. Let o be 0/(3/(-4 - v)). Find t, given that 34*t**2 + 488*t**3 + 29*t**2 + o - 68*t - 480*t**4 + 8 - 11*t**2 = 0.
-2/5, 1/6, 1/4, 1
Let n(o) be the third derivative of -o**7/1260 + o**6/8 + 467*o**5/360 + 21*o**4/4 + 95*o**3/9 - 431*o**2 - 3. Factor n(t).
-(t - 95)*(t + 1)*(t + 2)**2/6
Suppose 0 = 6*d - 598 - 362. Factor d*r**2 - 3 + 157*r**2 - 314*r**2.
3*(r - 1)*(r + 1)
Let n be 74 - 80 - 5/((-15)/27). Let m = -126 + 128. Factor 3*f + 3/2*f**m + 1/4*f**n + 2.
(f + 2)**3/4
Let d(x) = -2*x**2 + 13*x + 8. Let f be d(7). Let t(g) = -g**3 + 3*g**2 - g - 1. Let l be t(f). Factor 1/3*m**4 + 1/3 - 2/3*m**2 + 0*m + l*m**3.
(m - 1)**2*(m + 1)**2/3
Let o(r) be the second derivative of -19*r**4/48 - 33*r**3/8 - 5*r**2/2 - 655*r - 1. Factor o(q).
-(q + 5)*(19*q + 4)/4
Let w(n) be the second derivative of 12*n**2 - 1/240*n**5 + 0 + 38*n - 1/6*n**3 - 1/24*n**4. Let d(m) be the first derivative of w(m). Solve d(j) = 0.
-2
Suppose -30/13*g**5 - 1488/13*g**3 - 3378/13*g + 28 + 5068/13*g**2 - 536/13*g**4 = 0. What is g?
-13, -7, 2/15, 1
Let g = 363 + -361. Find a, given that 33 + g*a**2 - 38 - 34 - 36*a + a**2 = 0.
-1, 13
Suppose -3*m = -8*m + 40. Let j be (-18)/(-8)*m/3. Factor j*h**3 - 2*h**2 - 6*h**3 - 38*h**2 + 5*h**3 + 5*h**4 - 60*h.
5*h*(h - 3)*(h + 2)**2
Let v = 1220/1179 + 15040/8253. Determine i, given that -2*i**2 - 6/7 - v*i = 0.
-1, -3/7
Let o(l) be the first derivative of -1205*l**3/6 - 4825*l**2/8 - 5*l/2 + 1839. Factor o(h).
-5*(h + 2)*(482*h + 1)/4
Solve -120*f + 5*f**2 - 192*f - 215*f + 77*f + 5*f**3 = 0 for f.
-10, 0, 9
Let v(r) be the first derivative of 1/6*r**4 + 228 + 2*r**3 + 0*r + 20/3*r**2. Find s, given that v(s) = 0.
-5, -4, 0
Let m(o) be