+ 4 = 0. What is n?
-1, -1/4, 1/3, 1
Let u = 464 - 464. Let u*c + 2/3 + 1/6*c**3 - 1/2*c**2 = 0. What is c?
-1, 2
Let c be (-2 + 3)*(-2 - -11). Solve -4*p + 3*p**3 + p + 15*p**2 + c*p**3 - 6*p**2 = 0.
-1, 0, 1/4
Let n(m) be the second derivative of m**6/45 + m**5/20 - m**4/18 - 12*m. Suppose n(p) = 0. What is p?
-2, 0, 1/2
Find g, given that -12/7*g**4 - 9/7*g**3 + 18/7 + 36/7*g**2 + 51/7*g = 0.
-1, -3/4, 2
Let g(s) be the first derivative of -3*s**5/50 + s**4/20 + s**3/5 - 3*s**2/10 - s - 3. Let p(t) be the first derivative of g(t). Determine m so that p(m) = 0.
-1, 1/2, 1
Let o be (-2 - -1)/(4/(-20)). Solve 8*c**3 - c**o - c**4 - 8*c**3 = 0 for c.
-1, 0
Let w(f) be the third derivative of f**5/15 - f**4/6 + 8*f**2. Factor w(b).
4*b*(b - 1)
Suppose 2*y = 4*i - 6, 2*i = -y + 2 + 11. Suppose -i*a = a. Determine s, given that 0 - 2/3*s**3 + 2/3*s**4 - 4/3*s**2 + a*s = 0.
-1, 0, 2
Factor -1/3*c - 1/3*c**2 + 2.
-(c - 2)*(c + 3)/3
Let p(w) be the first derivative of -w**6/1080 + w**5/90 + 5*w**3/3 + 8. Let x(h) be the third derivative of p(h). What is t in x(t) = 0?
0, 4
Let a(k) = -k**2 + 8*k + 1. Let t be a(7). Let p be 11/3 - t/12. Factor -1/3*r - 1/3*r**4 + 1/3*r**p + 1/3*r**2 + 0.
-r*(r - 1)**2*(r + 1)/3
Let x(a) be the first derivative of 7 + 12/7*a - 15/2*a**4 - 6*a**2 + 69/7*a**3 + 15/7*a**5. Suppose x(u) = 0. Calculate u.
2/5, 1
Let s(x) = x**3 + 6*x**2 + 3*x - 7. Let q be s(-5). Let n(w) be the first derivative of 5/12*w**q + 2 - w**2 - 1/16*w**4 + w. Solve n(z) = 0 for z.
1, 2
Let r be 5*(2/(-6) - 8/(-6)). Let h(j) be the first derivative of -1/4*j**2 - 1/10*j**r + 0*j - 3/8*j**4 - 1/2*j**3 - 3. Factor h(d).
-d*(d + 1)**3/2
Let r(a) be the third derivative of a**5/60 + a**4/8 + a**3/3 - a**2. Let r(n) = 0. Calculate n.
-2, -1
What is g in 4/5*g - 1/5*g**2 - 4/5 = 0?
2
Let h(n) be the second derivative of 0*n**2 + 3/2*n**3 + 3/20*n**5 + 0 - 7*n - n**4. Find o, given that h(o) = 0.
0, 1, 3
Let p(c) be the third derivative of c**9/211680 - c**8/23520 + c**7/5880 - c**6/2520 + c**5/12 + 5*c**2. Let s(y) be the third derivative of p(y). Factor s(m).
2*(m - 1)**3/7
Let m be 1 - ((5/(-15) - -3) + -2). Let d(k) be the second derivative of 0 - m*k**3 + 0*k**2 - 2*k + 1/6*k**4. Factor d(b).
2*b*(b - 1)
Factor -5*g**3 - 3192 + 5*g + 3192.
-5*g*(g - 1)*(g + 1)
Suppose -3*h = -o - 9, -7*h + 3*h + 3*o + 17 = 0. Let f(s) be the first derivative of -4/3*s - 1/15*s**5 - 13/9*s**3 - 1/2*s**4 + 3 - 2*s**h. Factor f(z).
-(z + 1)**2*(z + 2)**2/3
Suppose 4*p + 16 = 0, 2*f - 5*f + 12 = -3*p. Factor -2/3*h**3 + f - 1/3*h**2 + 1/3*h**4 + 2/3*h.
h*(h - 2)*(h - 1)*(h + 1)/3
Let h(u) be the second derivative of -u**6/120 + u**5/10 - 3*u**4/8 - u**3/3 - 3*u. Let q(v) be the second derivative of h(v). Find d, given that q(d) = 0.
1, 3
Let d be (-2)/7 + (-120)/(-28). Let w(z) be the first derivative of 5*z**2 - z - 133/12*z**3 + 2 + 147/16*z**d. Factor w(n).
(3*n - 1)*(7*n - 2)**2/4
Let s(q) be the first derivative of q**4/16 - q**3/3 + 3*q**2/8 - 17. Factor s(l).
l*(l - 3)*(l - 1)/4
Let m be 9 - 4/(216/474). Factor 0*f**2 + 0 - m*f + 2/9*f**3.
2*f*(f - 1)*(f + 1)/9
Suppose -n = -3*n + 6. Let q(j) be the second derivative of 0 + n*j - 1/10*j**5 + 0*j**2 - 1/3*j**4 - 1/3*j**3. Factor q(z).
-2*z*(z + 1)**2
Let b(z) be the first derivative of z**5/70 + z**4/42 - z**3/21 - z**2/7 - 3*z + 4. Let q(y) be the first derivative of b(y). Solve q(u) = 0.
-1, 1
Let v(b) = 2*b - 7. Let y be v(4). Let h(x) be the first derivative of 1/2*x + 1/8*x**4 - 1/4*x**2 - 1/6*x**3 - y. Factor h(m).
(m - 1)**2*(m + 1)/2
Let s(f) be the third derivative of 1/360*f**5 + 0 + 1/9*f**3 + 0*f + 1/36*f**4 - 3*f**2. Factor s(w).
(w + 2)**2/6
Let l(r) be the third derivative of -r**9/181440 + r**7/15120 - r**5/60 + 2*r**2. Let s(g) be the third derivative of l(g). Determine m, given that s(m) = 0.
-1, 0, 1
Let h(k) = -k**3 - k + 5. Let t be h(0). Let s = -3 + t. Suppose 3 + 0*g + 2*g**s - 4 - 6*g + 5 = 0. Calculate g.
1, 2
Determine h, given that 0*h**2 - 1/8*h**3 + 0*h - 1/8*h**5 - 1/4*h**4 + 0 = 0.
-1, 0
Let f be 32/(-18) + 2 + 4/(-18). Suppose f - 2/3*h**2 - 2/3*h = 0. Calculate h.
-1, 0
Find g, given that -81*g - 27 + 12*g**4 - 35*g**3 - 4*g**4 - 4*g**4 + 99*g**2 + 0*g**4 = 0.
-1/4, 3
Let h = 44 + -44. Factor -2/5*a**2 - 18/5*a**3 + h + 4/5*a - 2*a**5 + 26/5*a**4.
-2*a*(a - 1)**3*(5*a + 2)/5
Let y(u) be the first derivative of -3*u**4/4 - 2*u**3 - 3*u**2/2 - 9. Solve y(n) = 0 for n.
-1, 0
Suppose 48/19*o + 22/19*o**2 + 2/19*o**3 - 72/19 = 0. What is o?
-6, 1
Let k be (-12)/24 + -1 + 2. Factor -1/2*u**2 + 1 + k*u.
-(u - 2)*(u + 1)/2
Suppose 19 = 5*c - 36. Let t = -7 + c. Determine o, given that 0*o**2 - 4/3*o**3 - 2/3 + 4/3*o + 2/3*o**t = 0.
-1, 1
Let n be 165/(-60) - (-2)/(-8). Let c be n - 50*(-3)/42. Solve 0 - 2*r**2 - c*r - 10/7*r**3 = 0.
-1, -2/5, 0
Let k = 72883949/346490970 - -5/359058. Let t = -2/193 + k. Find j, given that t*j + 1/5*j**3 + 2/5*j**2 + 0 = 0.
-1, 0
Let y(f) be the first derivative of -f**6/1620 + f**3 - 4. Let p(l) be the third derivative of y(l). Factor p(w).
-2*w**2/9
Let o = 26 + 23. Let r be (o/(-1))/(1/(-4)). Solve -r*p**3 - 16/5 - 672/5*p**2 - 176/5*p - 343/5*p**4 = 0.
-2, -2/7
Let b(m) = 13*m**2 + m - 13 - 7*m + 18*m**3 - 3*m**3 + 4*m. Let j(k) = 7*k**3 + 6*k**2 - k - 6. Let y(o) = 6*b(o) - 13*j(o). Factor y(t).
-t*(t - 1)*(t + 1)
Suppose -10 = -18*t + 16*t. Suppose t*x - 21 = -3*s, -5*x - 3*s + 23 = s. Suppose 2/3 - 5/3*q - 1/3*q**x + 4/3*q**2 = 0. Calculate q.
1, 2
Factor 0*w**4 - w**2 + 0*w**4 - 6*w**3 - w**4 - 7*w**2.
-w**2*(w + 2)*(w + 4)
Let z(o) be the first derivative of -4*o**5/5 - 2*o**4 + 16*o**3/3 + 4*o**2 - 12*o + 11. Find b, given that z(b) = 0.
-3, -1, 1
Let l(m) be the first derivative of -m**5/300 + m**4/60 - m**3/30 - m**2 - 7. Let g(y) be the second derivative of l(y). Factor g(r).
-(r - 1)**2/5
Let f(q) be the second derivative of -q**8/1680 - q**7/1260 - q**4/12 - 5*q. Let b(v) be the third derivative of f(v). Solve b(k) = 0 for k.
-1/2, 0
Suppose -6 = 4*d - 6*d. Suppose 5*g - 4 = d*g. Factor -3/5*h**g + 2/5*h**4 - 1/5*h**3 + 1/5*h + 1/5.
(h - 1)**2*(h + 1)*(2*h + 1)/5
Let m(x) be the second derivative of x**5/10 + 5*x**4/6 + 8*x**3/3 + 4*x**2 + 5*x. Factor m(q).
2*(q + 1)*(q + 2)**2
Let u(m) be the first derivative of m**6/720 - m**5/180 - m**4/36 + 2*m**3/9 + 5*m**2/2 - 4. Let h(n) be the second derivative of u(n). Factor h(b).
(b - 2)**2*(b + 2)/6
Let v = -3699/4 + 925. Suppose 0 = -0*w + 3*w. Solve v + w*k - 1/4*k**2 = 0 for k.
-1, 1
Suppose -12 = -3*b - l - 1, -4*l - 4 = 0. Let m(q) = -12*q**2 + 12*q + 4. Let y(n) = 12*n**2 - 11*n - 3. Let d(c) = b*m(c) + 5*y(c). Factor d(x).
(3*x - 1)*(4*x - 1)
Let i = 44/75 - 2419/75. Let n = -31 - i. Factor 0 + n*d + 2/3*d**2.
2*d*(d + 1)/3
Let g(a) = -3*a**2 - 4*a + 5. Let q = 11 - 14. Let b(u) = 2*u**2 + 2*u - 3. Let c(m) = q*g(m) - 5*b(m). Factor c(z).
-z*(z - 2)
Let n be 2*(5/20 - (-15)/20). Factor -7/5*t**n + 2/5*t + 0.
-t*(7*t - 2)/5
Let a(r) be the third derivative of -2*r**7/35 + r**6/40 + 7*r**5/20 - r**4/8 - 3*r**3/2 - 12*r**2. Suppose a(x) = 0. What is x?
-1, -3/4, 1
Let i = 667/5 - 133. Factor i + 2/5*u**2 - 4/5*u.
2*(u - 1)**2/5
Let l(g) = g + 9. Suppose -q - 4 = -j + 3, -3*j - 21 = 3*q. Let b be l(q). Determine h so that -2*h**2 - 3*h**2 - 2*h + 7*h**b - 2 + 2*h**3 = 0.
-1, 1
Let p(q) be the first derivative of 5 + 3/5*q**4 + 2/5*q**2 + 4/5*q**3 + 0*q + 4/25*q**5. Factor p(n).
4*n*(n + 1)**3/5
Let y be (-3 - 48/(-14))*(-8)/(-12). Let -y + 0*j + 2/7*j**2 = 0. What is j?
-1, 1
Let c be (-4 - 2)/((-6)/9). Suppose 0 = 4*v + q - 5, 3*v = 5*q - 4*q + c. Factor 0 + 2*d**3 - 2 + v - 2*d**2.
2*d**2*(d - 1)
Let p be 85*1 - (-9 + 12). Let o = p - 402/5. Factor -16/5*y - 2*y**2 - o - 2/5*y**3.
-2*(y + 1)*(y + 2)**2/5
Let m(k) = 7*k**2 + 3*k + 2. Let n be m(-1). Suppose 7*i = n*i + 5. Factor 0*s**2 - 1/3*s**i + 0*s + 0*s**3 - 2/3*s**4 + 0.
-s**4*(s + 2)/3
Let r = 12/155 - -10/31. Factor 0*c - 2/5 + r*c**2.
2*(c - 1)*(c + 1)/5
Suppose -3*s = 12 - 33. Let f be -2 + 1 + s/5. Solve 2/5*i**3 - f*i**2 + 0 - 2/5*i + 2/5*i**4 = 0 for i.
-1, 0, 1
Let p(d) = d**2 + 6*d + 7. Let q be p(-5). Factor -s - 3*s - 3*s**3 + 6*s**q + 3*s - 2*s.
-3*s*(s - 1)**2
Factor -10/7*t + 8/7*t**2 + 4/7 - 2/7*t**3.
-2*(t - 2)*(t -