+ 0*t - x*t**2 + 0*t**4 + n - 6/7*t**3.
2*t**2*(t - 2)*(t + 1)**2/7
Let j(o) = -15*o**2 + 55*o - 40. Let h(z) = 2*z**2 - 7*z + 5. Let w(p) = -25*h(p) - 3*j(p). Factor w(x).
-5*(x - 1)**2
Let x(l) = -l**4 - 6*l**3 + 2*l - 3. Let d(n) = n**3 - n**2 - n + 1. Let a(f) = -3*d(f) - x(f). What is o in a(o) = 0?
-1, 0
Let j(c) = c**3 - 12*c**2 + 11*c + 1. Let o be j(11). Let w(u) be the first derivative of 0*u**4 - 2/15*u**3 + 0*u + 0*u**2 + o + 2/25*u**5. Factor w(d).
2*d**2*(d - 1)*(d + 1)/5
Let m(a) = 4*a + 12. Let w be m(-3). Let s(k) be the first derivative of 0*k - 4 + 1/35*k**5 + w*k**2 + 1/42*k**6 + 0*k**4 + 0*k**3. Factor s(q).
q**4*(q + 1)/7
Let j = -94 + 99. Suppose 2/7*x**j + 2/7*x**2 - 10/7*x**4 + 8/7 - 16/7*x + 2*x**3 = 0. What is x?
-1, 1, 2
Factor 0*m + 0*m**2 - 1/3*m**4 + 1/3*m**3 + 0.
-m**3*(m - 1)/3
Let l(s) be the second derivative of 0 + 0*s**4 + 1/21*s**7 + 0*s**2 - 7*s + 0*s**3 + 0*s**5 + 1/15*s**6. Suppose l(w) = 0. What is w?
-1, 0
Factor -12 + 126*n**2 - 166*n**3 - 161*n**3 + 4 + 24*n - 65*n**3.
-2*(4*n + 1)*(7*n - 2)**2
Let p(u) be the first derivative of -u**6/135 - 2*u**5/45 - 2*u**4/27 - 6*u + 7. Let i(z) be the first derivative of p(z). Factor i(q).
-2*q**2*(q + 2)**2/9
Let j be (12/(-9))/((-17)/51). Factor -8/3*c - 2/3 - 8/3*c**3 - 2/3*c**j - 4*c**2.
-2*(c + 1)**4/3
Suppose -9*g + 13*g - 12 = 0. Let p = 0 + 0. Suppose p + 1/3*h**5 + 1/3*h**2 - 1/3*h**g + 0*h - 1/3*h**4 = 0. What is h?
-1, 0, 1
Let d(r) be the first derivative of 3/2*r**2 + 3 + 2/3*r**3 - 1/2*r**4 - 1/6*r**6 - 3/5*r**5 + r. Determine g, given that d(g) = 0.
-1, 1
Let v(m) = -m**3 - m**2 - m + 5. Let h(t) = -6*t**3 - 4*t**2 - 5*t + 26. Let o be (-12)/(-8) - (-50)/(-4). Let d(p) = o*v(p) + 2*h(p). Factor d(z).
-(z - 3)*(z - 1)*(z + 1)
Factor 0*v + 1/7*v**2 - 4/7.
(v - 2)*(v + 2)/7
Let x(n) = -n - 1. Let s = -19 - -33. Let r(m) = 2*m**3 - 2*m**2 - 3*m + 1. Let w(o) = s*x(o) + 2*r(o). Factor w(z).
4*(z - 3)*(z + 1)**2
Let j(s) be the second derivative of s**5/70 - s**4/21 - s**3/21 + 2*s**2/7 - 59*s. Solve j(p) = 0 for p.
-1, 1, 2
Let f(y) = -7*y**5 - 5*y**4 - 9*y**3 - 3*y**2. Let w(g) = -6*g**5 - 6*g**4 - 9*g**3 - 3*g**2. Let a(h) = 3*f(h) - 4*w(h). Suppose a(u) = 0. What is u?
-1, 0
Let g(h) be the first derivative of h**3/9 + h**2/3 - 8*h/3 + 36. Factor g(v).
(v - 2)*(v + 4)/3
Suppose -2*u + 40 = -4*m, -39 = -u - u + 3*m. Suppose 4*r + 2*x = u, 5*x + 9 = 4*r - 2. Factor -3*j**4 + 5*j**r - 6*j**4 + j**4 - 3*j**3.
-3*j**3*(j + 1)
Let a(d) be the second derivative of d + 1/4*d**4 + 0*d**2 + 0 - d**3. Factor a(o).
3*o*(o - 2)
Let h(m) be the second derivative of m**9/11760 - m**8/15680 - m**7/2940 + m**4/2 + 3*m. Let w(n) be the third derivative of h(n). Find o, given that w(o) = 0.
-2/3, 0, 1
Let x(n) = n**3 - 5*n**2 - n + 1. Let w(r) = -3*r**3 + 21*r**2 + 3*r - 3. Let z(j) = 2*w(j) + 9*x(j). Determine l, given that z(l) = 0.
-1, 1
Let x(z) be the second derivative of z**5/80 - 3*z**4/16 + 9*z**3/8 + z**2/2 + 4*z. Let v(i) be the first derivative of x(i). Factor v(d).
3*(d - 3)**2/4
Suppose 0*f - 5*f - 5 = 0. Let g = 1 - f. Let 4/5 + 2/5*q**g - 6/5*q = 0. What is q?
1, 2
Let y = -33 - -35. Let h(v) be the second derivative of -1/42*v**4 + 1/147*v**7 - 1/70*v**5 + 1/105*v**6 + 0 - 3*v + 0*v**3 + 0*v**y. Factor h(t).
2*t**2*(t - 1)*(t + 1)**2/7
Let w(t) be the first derivative of -2/11*t**2 + 0*t + 3/22*t**4 + 2/33*t**3 - 1. Solve w(h) = 0 for h.
-1, 0, 2/3
Let p(a) = -2*a - 6. Let f be p(-4). Let z(c) be the second derivative of 1/63*c**7 + 0*c**4 + 0*c**6 + 0 - c + 0*c**3 + 0*c**5 + 0*c**f. Factor z(g).
2*g**5/3
Let o = 0 + -5. Let n = o + 7. Factor 2/9*i**n + 0 + 0*i.
2*i**2/9
Let a(n) be the first derivative of -1/2*n**4 + 4*n - n**3 + 2*n**2 + 6 + 1/5*n**5. Determine q so that a(q) = 0.
-1, 2
Let d(f) be the first derivative of -9 + 0*f - 3/4*f**2 + 1/6*f**3. What is s in d(s) = 0?
0, 3
Let t(i) = -i**4 - i**2 - 3*i + 0*i**4 + 4*i. Let l(c) be the first derivative of 2*c**5/5 - 3*c**4/4 - 2*c**2 - 3. Let b(q) = l(q) + 3*t(q). Factor b(y).
-y*(y + 1)**3
Factor 0*u - u**2 + 1/4*u**3 + 0.
u**2*(u - 4)/4
Factor 3/8*q**3 - 21/8*q**2 + 0 + 9/4*q.
3*q*(q - 6)*(q - 1)/8
Let j(h) be the first derivative of 3/4*h**4 - 1/5*h**5 + 0*h - 2/3*h**3 + 9 + 0*h**2. Factor j(b).
-b**2*(b - 2)*(b - 1)
Let p = 82 - 82. Factor 8/5*o - 6/5*o**3 - 1/5*o**5 - o**4 + 4/5*o**2 + p.
-o*(o - 1)*(o + 2)**3/5
Let t be 2 + 0/(0 - 1). Suppose 14 = 4*r - 2*x, -5*x + 0 = -r - 1. What is c in -r*c**2 + t*c**3 + 3*c + c - 2*c = 0?
0, 1
Let i be 2*(3 + 1236/16). Let h = -157 + i. Solve h*j + 5/2*j**3 - 1/2*j**4 - 9/2*j**2 - 1 = 0.
1, 2
Solve -8/7*i**5 + 2/7 + 4/7*i + 4/7*i**3 + 2*i**4 - 16/7*i**2 = 0 for i.
-1, -1/4, 1
Let i(z) = -3*z + 25. Let l be i(7). Factor 2/9*q**5 + 0 + 0*q - 2/9*q**l + 2/9*q**2 - 2/9*q**3.
2*q**2*(q - 1)**2*(q + 1)/9
Let f(c) = -15 + 4*c**2 + 11 + 30*c**3 - 10*c**3 + 12*c. Let u(w) = -w**3 - w**2. Let h(q) = -f(q) - 16*u(q). What is d in h(d) = 0?
1
Let v be ((-2)/3)/(-2)*2*1. Factor -1/3*x**2 + v - 1/3*x**4 - x**3 + x.
-(x - 1)*(x + 1)**2*(x + 2)/3
Let z(h) = -3*h**2 + 2*h. Let v = 32 - 59. Let i be 2/((-24)/v - 1). Let b(k) = -13*k**2 + 9*k. Let w(p) = i*z(p) + 4*b(p). Suppose w(g) = 0. Calculate g.
0
Suppose -1/3*w**2 + w + 4/3 = 0. Calculate w.
-1, 4
Suppose 4*u - 11 + 3 = 0. Suppose 0*d**u - 1/4*d**3 + 3/4*d + 1/2 = 0. What is d?
-1, 2
Let g = -119 - -239/2. Find p, given that -g*p**2 - 1/2*p + 0 = 0.
-1, 0
Let h = -7 + 7. Determine r, given that 5*r**2 + h*r**3 - 19*r**2 + 2 + 6*r**3 + 6*r**3 = 0.
-1/3, 1/2, 1
Suppose -3*b + 4 = -8. Factor -7*r**3 + 5*r - b*r**4 - 2*r + 3*r**2 + 7*r**4 - 2.
(r - 1)**3*(3*r + 2)
Find p, given that -8*p**2 + 6*p**4 - 2*p**5 - 881 + 881 = 0.
-1, 0, 2
Let q(u) be the first derivative of u**4/36 + 4*u**3/27 + 5*u**2/18 + 2*u/9 + 13. Suppose q(y) = 0. Calculate y.
-2, -1
Let w(d) be the third derivative of 3*d**2 - 1/50*d**5 + 0*d**4 + 1/200*d**6 + 0*d + 0 + 0*d**3. Determine t, given that w(t) = 0.
0, 2
Let l = 20 + -15. Find m such that -3*m**5 - m**4 + 6*m**2 - 4*m + 2*m**3 + 5*m**5 - l*m**4 = 0.
-1, 0, 1, 2
Let p(x) be the second derivative of -3*x**5/20 + 3*x**4/4 - 3*x**3/2 + 3*x**2/2 + 3*x. What is f in p(f) = 0?
1
Find u, given that 11*u - 6*u**2 + 2*u**5 - 10*u - u**4 + 2*u**3 - 5*u + 7*u**4 = 0.
-2, -1, 0, 1
Let b(h) be the first derivative of -3*h**5/20 + h**4/2 - h**3/2 - h - 3. Let q(p) be the first derivative of b(p). Factor q(x).
-3*x*(x - 1)**2
Let o = 2 + -2. Let t(v) = v**3 - 9*v**2 + 9*v - 5. Let i be t(8). Factor 1/2*m**i + m**2 + o + 1/2*m.
m*(m + 1)**2/2
Let a(d) be the second derivative of d**6/40 - 3*d**5/16 + 3*d**4/16 + 5*d**3/8 - 3*d**2/2 + 25*d. Suppose a(j) = 0. What is j?
-1, 1, 4
Suppose -15 = -2*t - t. Let r be 12/t - 4/10. Find d, given that 4*d**r - 4*d**2 - 18*d**3 + 4*d**2 + 24*d**4 - 10*d**5 = 0.
0, 2/5, 1
Let l(n) = -2*n - 1. Let h be l(-4). Suppose 4*i**4 - h - 5*i**4 + i**3 + 7 = 0. Calculate i.
0, 1
Let h(p) = -p**3 - p**2 + 32*p - 7. Let i be h(5). Factor 3/5*d - 3/5*d**i - 6/5*d**2 + 6/5.
-3*(d - 1)*(d + 1)*(d + 2)/5
Let p = 53/8 + -51/8. Determine t so that p*t**2 - 1/4*t**3 - 1/4 + 1/4*t = 0.
-1, 1
Determine l so that 2/3*l**3 + 0*l + 0 - 1/3*l**2 - 1/3*l**4 = 0.
0, 1
Let h(u) be the second derivative of -u**5/90 + u**4/18 - u**3/9 + u**2/9 + 22*u. Factor h(q).
-2*(q - 1)**3/9
Let s(y) = -y**3 + y**2. Let h = 9 + -11. Let x(u) = 2*u**4 - 4*u**3 + 2*u. Let n(r) = h*s(r) + x(r). What is i in n(i) = 0?
-1, 0, 1
Let d(a) be the first derivative of 36*a**5/5 - 21*a**4 - 152*a**3/3 + 136*a**2 - 96*a + 3. Let d(r) = 0. Calculate r.
-2, 2/3, 3
Let q(k) be the third derivative of -k**8/1344 - k**7/280 - k**6/160 - k**5/240 - 12*k**2. Factor q(y).
-y**2*(y + 1)**3/4
Let g(o) = o**2 + 5*o - 2. Let j be g(-6). Suppose -k - 8 = -3*b, -j*k + 11 = 2*b + k. Solve 1/4 - 3/4*w**2 - 5/4*w**b - 1/2*w**4 + 1/4*w = 0.
-1, 1/2
Let g(y) = -y**3 + 5*y**2 - y + 6. Let h be g(5). Suppose -h = r - 3. Let 5*f**3 - r + 3*f**2 - 2 - 4*f**3 = 0. What is f?
-2, 1
Let r = 431/2 + -214. Solve 3 - 3/2*v - r*v**2 = 0 for v.
-2, 1
Factor 7*y + 7*y**2 + 7*y + 3*y**2 + 4.
2*(y + 1)*(5*y + 2)
Let -27/8*x + 0 - 3/8*x**2 = 0. Calculate x.
-9, 0
Let t(s) be the second derivative of 0 + 0*s**3 - 1/8*s**4 + 3*s + 3/4*s**2. Find l 