5*c**3 + 0 + o*c**2.
-2*c**2*(c - 1)/5
Suppose -2*g + 3 + 3 = 0. Suppose 4*r + 0*y = -g*y + 11, 0 = 4*r - y - 23. Let 11*o**2 + 0 - 44*o**3 + 5*o**2 + 36*o**4 - 10*o**r - 5 + 6*o + 1 = 0. What is o?
-2/5, 1
Let x(n) be the second derivative of -n**7/105 - n**6/60 + n**5/10 + n**4/12 - 2*n**3/3 + n**2/2 + 2*n. Let i(q) be the first derivative of x(q). Factor i(r).
-2*(r - 1)**2*(r + 1)*(r + 2)
Factor 0*b**3 + 4*b**2 - 2*b**4 - 2*b**3 - 7*b**4 + 5*b**4 + 2*b**5.
2*b**2*(b - 2)*(b - 1)*(b + 1)
Let y(f) be the third derivative of 7/96*f**4 - 3*f**2 + 0 - 1/30*f**5 - 1/12*f**3 + 0*f + 1/160*f**6. Factor y(c).
(c - 1)**2*(3*c - 2)/4
Let o(p) = 2*p**3 - 7*p**2 - 8*p - 5. Let q(k) = -k**3 + 6*k**2 + 7*k + 4. Let g(r) = -2*o(r) - 3*q(r). Factor g(h).
-(h + 1)**2*(h + 2)
Suppose 4*i = -5 + 17. Let m be (-1 - 0)*(-1 - i). Factor 3*y**3 + 2*y**2 + y + y**2 + 4*y**m - 3*y**4.
y*(y + 1)**3
Let o(j) be the second derivative of j**6/10 - 3*j**5/20 - j**4/4 + j**3/2 - 10*j. Let o(w) = 0. Calculate w.
-1, 0, 1
Let n(m) be the first derivative of 32*m**4 - 12*m**2 - 4*m - 9. Factor n(t).
4*(2*t - 1)*(4*t + 1)**2
Let q be ((-12)/84)/(2/(-4)). Factor 0 - q*d**2 - 4/7*d.
-2*d*(d + 2)/7
Let c(m) be the first derivative of 7*m**6/27 + 34*m**5/15 + 119*m**4/18 + 62*m**3/9 + 2*m**2 + 9. Solve c(a) = 0.
-3, -1, -2/7, 0
Let d(u) be the first derivative of 4 - 3/7*u**3 - 1/7*u**2 + 0*u + 11/28*u**4. Factor d(x).
x*(x - 1)*(11*x + 2)/7
Let g(b) be the second derivative of 5*b**4/9 + 22*b**3/9 + 4*b**2/3 - 9*b. Determine u, given that g(u) = 0.
-2, -1/5
Let w be ((-3)/(-5))/((-4)/(-20)). Let x(y) be the third derivative of 0 + 0*y**5 + 0*y**w + 0*y**4 + y**2 + 1/420*y**6 + 0*y. Let x(i) = 0. What is i?
0
Let f be (-18)/(-45) + 4/(-10). Let j(t) be the third derivative of -1/30*t**4 - t**2 + f + 1/150*t**5 + 0*t + 1/15*t**3. Factor j(b).
2*(b - 1)**2/5
Let k(w) be the third derivative of -4*w**2 + 0*w + 1/120*w**5 + 0 + 3/4*w**3 - 1/8*w**4. Factor k(h).
(h - 3)**2/2
Find q such that -3/2*q + 2*q**3 + 0 - 11/2*q**2 = 0.
-1/4, 0, 3
Determine t so that -25/3*t - 7/9*t**3 + 2 + 44/9*t**2 = 0.
2/7, 3
Let s(r) be the third derivative of r**8/560 - r**7/56 + r**6/15 - r**5/10 + r**3/2 - r**2. Let u(z) be the first derivative of s(z). Factor u(g).
3*g*(g - 2)**2*(g - 1)
Let y(q) be the first derivative of q**4/2 - 2*q**3/3 + 2. What is m in y(m) = 0?
0, 1
Let m(l) be the third derivative of l**5/105 + 5*l**4/21 + 50*l**3/21 + 33*l**2. Suppose m(i) = 0. What is i?
-5
Find m such that 192 + 6*m**3 + 144*m - 3*m**3 + 14*m**2 + 16*m**2 + 6*m**2 = 0.
-4
Let d(q) = -q**2 + 2*q + 101. Let h be d(11). Let -1/3*u**h + 0 + 0*u + 1/3*u**5 + 1/3*u**4 - 1/3*u**3 = 0. Calculate u.
-1, 0, 1
Let b(f) be the first derivative of f**6/6 + 3*f**5/5 - f**4/4 - 11*f**3/3 - 6*f**2 - 4*f + 4. Factor b(q).
(q - 2)*(q + 1)**3*(q + 2)
Let j be -4*(4/(-8) + 0). Factor 4/7 + 2/7*y**j + 6/7*y.
2*(y + 1)*(y + 2)/7
Suppose 0 = 5*m - z - 31, 4*m - 2*z - 17 = 9. Factor v**4 + 2*v**4 + 3 - 6*v**2 - m + 6.
3*(v - 1)**2*(v + 1)**2
Let k(j) = j**3 - 7*j**2 + 7*j - 5. Suppose h + 4*h - 30 = 0. Let u be k(h). Factor -l**2 - 1 + u + 2*l**2 + l**3.
l**2*(l + 1)
Let i = -30/11 - -93/22. Let p(u) be the first derivative of 2 + 0*u**3 - i*u**2 + 1/4*u**4 - 2*u. Factor p(g).
(g - 2)*(g + 1)**2
Let v(y) = -y**4 + y**3 - y - 1. Let l(a) = -18*a**4 + 61*a**3 - 69*a**2 + 31*a - 1. Let f(x) = 2*l(x) + 4*v(x). Suppose f(g) = 0. What is g?
3/20, 1
Suppose 18 + 29 = 5*o - z, -4*o = 2*z - 46. Factor -3*f - o*f**2 - 2*f**3 + 6*f**2 + f.
-2*f*(f + 1)**2
Let p(a) = -8*a**2 + 4*a - 2. Let b(o) = -9*o**2 + 5*o - 3. Let j(t) = -2*b(t) + 3*p(t). Factor j(n).
-2*n*(3*n - 1)
Let h = 19 - 14. Factor 0 - 15 - 648*u**4 - 460*u**2 + 216*u**h + 136*u + 774*u**3 - 1.
2*(2*u - 1)**2*(3*u - 2)**3
Suppose 0 = 2*z + 2*z - 16, 5*v + z = -36. Let d = -5 - v. Factor 0 + 4/7*m**2 + 0*m - 6/7*m**d - 10/7*m**4.
-2*m**2*(m + 1)*(5*m - 2)/7
Let g = 5 + 0. Factor 0*k**g - 3*k**4 - 2*k**4 + 2*k**5 + 3*k**4.
2*k**4*(k - 1)
Let t = -3/4 + 41/12. Determine s so that 8/3 + 2/3*s**2 + t*s = 0.
-2
Let w(i) be the second derivative of 1/8*i**2 + 0 + 1/8*i**3 + 1/16*i**4 + 1/80*i**5 + 2*i. Solve w(r) = 0 for r.
-1
Factor 3/2*x**2 - 3/4*x**5 - 9/4*x**4 + 9/4*x + 3/4 - 3/2*x**3.
-3*(x - 1)*(x + 1)**4/4
Let u(t) be the first derivative of t**9/4536 - t**7/420 + t**6/270 - t**3/3 - 9. Let m(k) be the third derivative of u(k). Suppose m(z) = 0. Calculate z.
-2, 0, 1
Let m be ((9 + -3)/3)/4. Solve -l**3 + m*l**2 + l - 1/2 = 0.
-1, 1/2, 1
Suppose 0 = -o + 2. Suppose 0 = 3*f + 2*a - o, -a - 4 - 13 = -3*f. Suppose 2*q**3 + 4*q**4 - 2*q**5 - 6*q**f - 2*q**2 + 4*q**4 = 0. Calculate q.
-1, 0, 1
Factor 0*l**2 + 3/4*l**3 + 0 + 0*l.
3*l**3/4
Let f = -101 - -101. Factor 0*r + f - 2/7*r**3 - 2/7*r**2.
-2*r**2*(r + 1)/7
Let i(p) be the third derivative of -p**5/60 - p**4/12 + 4*p**3/3 + 5*p**2. Factor i(q).
-(q - 2)*(q + 4)
Let q be 1/(-12) - 1/(-4)*1. Let l(p) be the second derivative of -q*p**4 + 0*p**2 + 0 + p - 2/3*p**3. Factor l(x).
-2*x*(x + 2)
Let l(b) = -2*b**3 - 1. Let w be l(-1). Let o be -2 + (1 + 4 - w). Let 0*f - 8/3*f**3 + 0 + 2/3*f**o = 0. What is f?
0, 1/4
Let m(g) = -9*g**2 - 2*g + 11. Let u(d) = 5*d**2 + d - 6. Suppose 2*s + 2 + 8 = 0, -4*s = 2*a - 2. Let n(k) = a*u(k) + 6*m(k). Factor n(w).
w*(w - 1)
Let p be (-13)/(-52) - (-15)/4. Let k(m) be the first derivative of 0*m**2 + 1 + 0*m - 1/2*m**p - 1/5*m**5 - 1/3*m**3. Solve k(z) = 0.
-1, 0
Factor -6*v**4 - 4*v**3 + 1 + 2*v**4 + 0*v**3 + 4*v + 3*v**2.
-(v - 1)*(v + 1)*(2*v + 1)**2
Let f be 3 - 0 - (2 - 2). Factor 3*o**f + 7*o**2 + 2*o + 1 - 2*o**3 + o - 4*o**2.
(o + 1)**3
Let x = -33/7 - -5. Factor -x*z + 2/7*z**2 + 0.
2*z*(z - 1)/7
Let k(i) be the first derivative of 2*i**6/3 + 4*i**5/5 - i**4 - 4*i**3/3 - 19. Factor k(j).
4*j**2*(j - 1)*(j + 1)**2
Let p(b) be the first derivative of -b**4 + 28*b**3/3 - 22*b**2 + 20*b + 39. Determine m, given that p(m) = 0.
1, 5
Let p(y) = -y**3 - 6*y**2 + 3. Let i be p(-6). Factor j**2 - 2*j - i + 6 + 1 - 2*j.
(j - 2)**2
Let v(f) be the third derivative of f**8/33600 - f**6/3600 - f**4/8 - 3*f**2. Let m(i) be the second derivative of v(i). Factor m(p).
p*(p - 1)*(p + 1)/5
Let l be (15 - 5)*2/51. Let s = 308/255 + l. Let -8/5*f - s - 2/5*f**2 = 0. Calculate f.
-2
Let p be 6/(-2) + 7 + 1. Suppose -3*f + 10 = -i, 3*f - 12 = p*f + 4*i. Factor -1/2 + 3/2*g - 3/2*g**f + 1/2*g**3.
(g - 1)**3/2
Let i(h) be the first derivative of 9*h**4/4 + 11*h**3/3 + h**2 + 9. What is w in i(w) = 0?
-1, -2/9, 0
Let n(y) = 2*y**2 + 5*y + 2. Let h be n(-3). Let d(g) be the first derivative of -1/2*g + 0*g**2 - 1/10*g**h - 2 + 1/3*g**3 + 0*g**4. Factor d(o).
-(o - 1)**2*(o + 1)**2/2
Let v(r) be the third derivative of -1/600*r**6 + 1/300*r**5 + 0 + 0*r**3 + 0*r + 1/120*r**4 - 3*r**2 - 1/1050*r**7. Determine a so that v(a) = 0.
-1, 0, 1
Suppose 2*n - 15 = -o, -5*o - 2*n = -5*n - 75. Suppose 3*l = 4*g - o, -4*g + 2*l + 10 = 4*l. Solve 2*u**4 + 4*u**3 + 1 + 2 - u - 5 - g*u = 0.
-1, 1
Suppose 0*x + 2*x = v - 15, 0 = x + 2*v. Let d = x + 9. Factor -2*p**2 - 8/3 - 1/3*p**d - 4*p.
-(p + 2)**3/3
Let 2/3*g + 2/3*g**2 - 4/3 = 0. What is g?
-2, 1
Let c(b) be the first derivative of 81*b**4/32 - 27*b**3 + 108*b**2 - 192*b - 32. Suppose c(n) = 0. Calculate n.
8/3
Let s be -2 + 33/12 - 54/168. Factor -3/7*a**4 + s*a**3 - 3/7*a + 3/7*a**2 + 0.
-3*a*(a - 1)**2*(a + 1)/7
Determine w, given that -1/2*w**2 + 3/2*w + 0 = 0.
0, 3
Let c = -147 + 150. Determine b, given that 3/2*b**2 + 0 - b - 1/2*b**4 + 0*b**c = 0.
-2, 0, 1
Let w(h) = -3*h**2 + 3*h + 7. Let u(i) = -i**2 + i + 2. Let o(r) = -7*u(r) + 2*w(r). Determine s, given that o(s) = 0.
0, 1
Let n(i) be the first derivative of -2/39*i**3 + 1 - 1/13*i**2 + 0*i. Factor n(q).
-2*q*(q + 1)/13
Let w = 154 + -149. Let -2/3*c**w - 2/3*c + 0 + 8/3*c**4 + 8/3*c**2 - 4*c**3 = 0. Calculate c.
0, 1
Let a(k) = -11*k**3 + 2*k**2 + k + 1. Let h be a(-2). Suppose -h + 81*z + 2*z**3 + z**3 - 27*z**2 + 14 = 0. What is z?
3
Suppose -2*x + 327 = 25. Let u = x + -1055/7. Factor u*v + 0 - 2/7*v**2.
-2*v*(v - 1)/7
Suppose 1454 = -2*s + 4*s. Let u = s - 3619/5. What is j in 4/5 + u*j + j**3 + 17/5*j**2 = 0?
-2, -1, -2/5
Suppose 0*n + 15 = -5*n. Let a be (-2)/(3/n) + 0. Let 1/3 + 4/3*j + j**a = 0. Cal