 What is r in -l + 1/2*r**2 - 1/2*r = 0?
-1, 2
Suppose 3*i - 9 = 3*t, -2*i + 4*t + 12 = 3*i. Let a(q) be the first derivative of 0*q + i*q**3 + 1/4*q**4 - 4 + 0*q**2. Factor a(j).
j**3
Suppose -47 + 15 = -8*w. Let s(g) be the first derivative of 0*g + 0*g**w + 8/3*g**3 + 2/3*g**6 - 8/5*g**5 + 2 - 2*g**2. Find n, given that s(n) = 0.
-1, 0, 1
Let l be (0 + 0 - -4)*6/8. Factor 52 - 52 + 5*r**l - 20*r.
5*r*(r - 2)*(r + 2)
Let p(t) = t**3 - 10*t**2 + 17*t - 8. Let o(k) = -2*k**3 + 19*k**2 - 33*k + 16. Let c(d) = -3*o(d) - 5*p(d). Factor c(i).
(i - 4)*(i - 2)*(i - 1)
Let b(j) = 4*j**2. Let w be b(1). Let v be -1 - (1 - 1 - 139). Determine p so that -135*p**3 - w*p**5 + v*p**3 + p**5 = 0.
-1, 0, 1
Let a = 47 + -44. Let v be (-2)/(-4) + -1 + a + -2. Factor 1/2 + 0*f - v*f**2.
-(f - 1)*(f + 1)/2
Let x = 21 + -23. Let a be (-1)/x*-8 + 7. Factor s**3 - 25*s**2 - a*s**3 + 29*s**2 - 2*s.
-2*s*(s - 1)**2
Let u(w) be the first derivative of 3*w**5/5 - 9*w**4/4 + 3*w**3 - 3*w**2/2 + 45. Factor u(m).
3*m*(m - 1)**3
Let s = 1548 + -1541. Let g(t) be the second derivative of -s*t - 5/9*t**3 + 0 - 4/3*t**2 - 1/18*t**4. Factor g(b).
-2*(b + 1)*(b + 4)/3
Let w be 1*(-3)/(-27)*(-216)/(-48). Suppose w - 1/8*d**2 + 0*d = 0. What is d?
-2, 2
Let b(j) = -j**4 - j**2. Let d(t) = -7*t**4 - 30*t**3 - 100*t**2 - 96*t. Let w(z) = -4*b(z) + d(z). Solve w(g) = 0 for g.
-4, -2, 0
Let i be (8 + 156/(-18) - 2) + (6 - 2). Find k, given that 7/3*k**4 - k**2 - 16/3*k**3 + 16/3*k - i = 0.
-1, 2/7, 1, 2
Suppose -3*v + 5*f = -26, -3261*v + 3253*v = -f - 20. Factor -6/5 + 2/5*w**3 - 13/5*w - 1/5*w**v.
(w - 3)*(w + 2)*(2*w + 1)/5
Let 2/5*s**4 + 18/5*s + 14/5*s**2 - 16/5 - 18/5*s**3 = 0. What is s?
-1, 1, 8
Let u = -46 + 52. Find s such that 3*s**3 - 4*s**4 - 3*s - u*s**4 + 7*s**4 + 3*s**2 = 0.
-1, 0, 1
Let l(f) be the second derivative of -9*f**5/110 - 43*f**4/66 + 10*f**3/33 + 2*f - 17. Factor l(j).
-2*j*(j + 5)*(9*j - 2)/11
Suppose -1545*h + 1553*h - 24 = 0. Let x(q) be the third derivative of 0 - 4*q**2 - 1/3*q**4 + 0*q + 2/3*q**h + 1/15*q**5. Suppose x(r) = 0. What is r?
1
Let r(d) be the first derivative of 5*d**6/6 - 135*d**4/4 + 90*d**3 + 209. Factor r(s).
5*s**2*(s - 3)**2*(s + 6)
Let s(r) be the second derivative of -r**5/70 - r**4/21 - 438*r. Determine t so that s(t) = 0.
-2, 0
Let q(u) = -5*u**4 + 11*u**5 + 21*u**4 + 5 + 5*u - 5*u**2 - 4*u**4. Let g(n) = 6*n**5 + 6*n**4 - 3*n**2 + 3*n + 3. Let r(s) = 5*g(s) - 3*q(s). Factor r(m).
-3*m**4*(m + 2)
Let n = -7578 - -7578. Suppose 92/3*s**2 + 28/3*s**5 - 181/3*s**3 - 4*s + n + 13/3*s**4 = 0. What is s?
-3, 0, 1/4, 2/7, 2
Let g(a) be the second derivative of a**5/60 + a**4/36 - a**3/9 - 79*a. What is v in g(v) = 0?
-2, 0, 1
Let f be (-30 - -27)/(240/(-32)). Factor -f*r**2 + 0*r + 0.
-2*r**2/5
Let p be 4/(-4 - 8)*21/(-28). Find l, given that 3/4*l**2 + p - 1/4*l**3 - 3/4*l = 0.
1
Let a(x) be the second derivative of -1/2*x**2 - 4/3*x**3 + 1/30*x**5 + 8*x + 1/3*x**4 - 1/60*x**6 + 0. Let f(o) be the first derivative of a(o). Factor f(c).
-2*(c - 2)*(c - 1)*(c + 2)
Let a(m) be the second derivative of 0*m**3 + 0*m**2 + 1/54*m**4 + 0 - 12*m. Determine d, given that a(d) = 0.
0
Let o(s) be the second derivative of -s**6/25 + 33*s**5/50 - 49*s. Factor o(m).
-6*m**3*(m - 11)/5
Let l be 8/((-448)/(-119)) + (-2)/16. Let d(b) be the first derivative of 4/3*b**3 + 16*b**l + 2 + 64*b. Factor d(f).
4*(f + 4)**2
Let m(g) = -38*g**2 + 98*g - 37. Let u(b) = -25*b**2 + 65*b - 25. Let h(k) = 5*m(k) - 7*u(k). Solve h(a) = 0 for a.
1/3, 2
Factor -1408/3*j - 123904/3 - 4/3*j**2.
-4*(j + 176)**2/3
Let a(k) be the first derivative of k**6/15 - 8*k**5/25 + 2*k**4/5 + 4*k**3/15 - k**2 + 4*k/5 - 647. Find c, given that a(c) = 0.
-1, 1, 2
Let q(k) = -5*k - 12. Let x be q(0). Let i be x/9 - ((-100)/(-15))/(-5). Solve 1/3*y**4 - 1/3*y**5 + 0*y**2 + 2/3*y**3 + 0*y + i = 0.
-1, 0, 2
Let i(x) be the first derivative of 5/9*x**3 - 1/3*x**2 - 25 - 1/3*x**4 + 0*x + 1/15*x**5. Factor i(h).
h*(h - 2)*(h - 1)**2/3
Let q(p) be the second derivative of p**4/48 - 7*p**3/12 + 49*p**2/8 + p - 6. Suppose q(t) = 0. What is t?
7
Solve 0*t - 1/2*t**2 + t**3 + 0 - 1/2*t**4 = 0.
0, 1
Factor 2/3*x**2 - 256/3 + 254/3*x.
2*(x - 1)*(x + 128)/3
Suppose 0 = 5*h, 3*n - 159 = -5*h - 153. Let 20*c - 8/3 - 48*c**n + 36*c**3 = 0. What is c?
1/3, 2/3
Suppose 5*m - 74 - 16 = 0. Let i = m + -16. Find g such that 2*g**2 - g**2 - g - g - i*g**2 + 3 = 0.
-3, 1
Factor 0 + 0*y - 270*y**3 - 162*y**2 - 153/2*y**4 - 6*y**5.
-3*y**2*(y + 6)**2*(4*y + 3)/2
Let s(r) be the first derivative of r**3/15 - 11*r**2/10 - 10. Factor s(j).
j*(j - 11)/5
Let y be (1/10*-6)/(-17 + 16). Factor y*s**2 + 6/5*s - 9/5.
3*(s - 1)*(s + 3)/5
Let l(m) be the first derivative of -5*m**6/6 - 42*m**5 - 2405*m**4/4 - 1400*m**3 - 1000*m**2 - 68. Factor l(x).
-5*x*(x + 1)**2*(x + 20)**2
Suppose -5*a = 2*l - 10, -2*a + 6 = -4*l + 2. Let g(h) be the second derivative of 5*h - 3/4*h**4 + 0 - h**a - 7/6*h**3 - 1/30*h**6 - 1/4*h**5. Factor g(i).
-(i + 1)**3*(i + 2)
Let u(w) be the second derivative of -w**5/70 + 4*w**4/21 + 3*w**3/7 - 10*w + 5. Determine a, given that u(a) = 0.
-1, 0, 9
Let d(x) = 7*x**2 + 66*x - 166. Let g(o) = -o**2 + 2*o + 2. Let h(p) = d(p) + 3*g(p). Suppose h(n) = 0. Calculate n.
-20, 2
Let y(l) = l**4 + l**3 - l. Let z(q) = 7*q**4 + 5*q**3 - 3*q. Let r(h) = 3*y(h) - z(h). Factor r(m).
-2*m**3*(2*m + 1)
Factor -18/7*m - 2/7*m**3 - 20/7*m**2 + 0.
-2*m*(m + 1)*(m + 9)/7
Let r(l) be the second derivative of l**6/270 - 2*l**5/45 + l**4/6 - l**3/2 - 4*l. Let c(x) be the second derivative of r(x). Factor c(p).
4*(p - 3)*(p - 1)/3
Let -2/7*o**2 - 1/7*o**5 - 4/7*o**4 + 0 + 0*o - 5/7*o**3 = 0. What is o?
-2, -1, 0
Let p be ((-84)/105 - (-92)/15) + -5. Factor -p*a**2 - 1 + 4/3*a.
-(a - 3)*(a - 1)/3
Let f(x) be the first derivative of -125*x**6/6 - 30*x**5 + 45*x**4 - 40*x**3/3 - 966. Solve f(t) = 0.
-2, 0, 2/5
Let r(z) be the third derivative of -z**7/1050 + z**6/30 - z**2 - 10*z. Solve r(h) = 0.
0, 20
Suppose -5 = -2*q - 1. Factor -3*l**q + 6*l**2 - l**2 + 0*l**2 + 10*l.
2*l*(l + 5)
Let p(m) be the third derivative of -5/24*m**4 - 1/12*m**5 + 0*m + 0 - 23*m**2 + 5/6*m**3 + 1/24*m**6. Factor p(h).
5*(h - 1)**2*(h + 1)
Let d(g) = g + 7. Let s be d(-5). Let q = -55767 - -390371/7. Factor 0 + q*n**3 + 0*n**s - 2/7*n.
2*n*(n - 1)*(n + 1)/7
Solve -12*w**3 + 43*w - 4409*w**4 + 38*w + 4408*w**4 - 5*w**3 - 11*w**2 - 52*w**2 = 0.
-9, 0, 1
Let w(o) be the second derivative of o**6/75 - o**5/10 + 4*o**4/15 - 4*o**3/15 - 74*o. Factor w(g).
2*g*(g - 2)**2*(g - 1)/5
Let m = -20 - -24. Let o(z) be the second derivative of 0*z**2 + 1/6*z**7 + 0*z**3 + 5*z + 0*z**m + 1/6*z**6 + 0 - 1/10*z**5. Factor o(x).
x**3*(x + 1)*(7*x - 2)
Let f(u) be the second derivative of u**10/15120 - u**8/1120 - u**7/630 + 11*u**4/4 - 3*u. Let i(w) be the third derivative of f(w). Factor i(m).
2*m**2*(m - 2)*(m + 1)**2
Factor -4/11*l**2 + 54/11*l - 26/11.
-2*(l - 13)*(2*l - 1)/11
Let h = -3399/10 + 1702/5. What is n in 7/4*n**3 + h*n + 0 + 1/2*n**4 + 7/4*n**2 = 0?
-2, -1, -1/2, 0
Let v(s) be the second derivative of s**4/12 + 7*s**3/3 + 49*s**2/2 + 3*s - 1. Suppose v(f) = 0. What is f?
-7
Let g(o) be the second derivative of -5*o**4/8 + 2*o**3/3 + o**2/3 - o - 76. Find s such that g(s) = 0.
-2/15, 2/3
Let m be (-4)/(-18) - (-7)/9. Suppose -h - m + 0 = r, 7 = -2*r - 3*h. Factor 10*k - 5*k**4 + 5*k**2 + 3*k**r - 10*k**3 - 3*k**4.
-5*k*(k - 1)*(k + 1)*(k + 2)
Let b(a) = -5*a**2 + 11. Let q(l) = -2*l**2 + 2*l + 1. Let s(z) = -b(z) + 3*q(z). Solve s(g) = 0 for g.
2, 4
Let t(g) be the third derivative of -g**8/1680 + g**7/350 - g**6/300 - 31*g**2. Determine w, given that t(w) = 0.
0, 1, 2
Let 3/4*k + 1/4*k**2 - 5/2 = 0. Calculate k.
-5, 2
Let j(x) = 14*x**4 + 34*x**3 - 52*x**2 - 90*x + 6. Let y(o) = 2*o**4 - o**3 - o**2 - o + 1. Let a(m) = 2*j(m) - 12*y(m). Suppose a(b) = 0. Calculate b.
-21, -1, 0, 2
Let n = 20522689 + -35401637369/1725. Let s = n + -2/575. Suppose 0 + s*r**3 + 0*r - 1/3*r**2 = 0. What is r?
0, 1/2
Let t(g) be the second derivative of -g**7/140 + g**6/40 + g**5/20 - g**3/6 + 11*g. Let z(h) be the second derivative of t(h). Factor z(c).
-3*c*(c - 2)*(2*c + 1)
Let y = 19149/7 + -2735. Let -y*g**3 + 0*g**2 - 4/7*g**4 + 0 + 0*g = 0. Calculate g.
-1, 