13 = 0.
-1, 1, 2
Let p(g) = -g**2 - 10*g + 14. Let n be p(-11). Let b(x) be the third derivative of -1/9*x**n + 0 + 1/72*x**4 + 6*x**2 + 0*x + 1/180*x**5. Factor b(y).
(y - 1)*(y + 2)/3
Let m(l) be the second derivative of -2*l**6/15 + 3*l**5/5 - l**4/3 - 2*l**3 + 4*l**2 + 30*l + 3. Find x such that m(x) = 0.
-1, 1, 2
Let d(o) = -2*o + 40. Let m be d(17). Suppose -m*n + 21 = n. Find b, given that 66/5*b**n - 4*b**2 + 0 + 32/5*b**5 - 16*b**4 + 2/5*b = 0.
0, 1/4, 1
Let g(l) = -3*l + 3. Let m be g(-3). Let y = -8 + m. Factor t + 1 - 4*t**3 - 5*t**4 + t + y*t**4 + 2*t**3.
-(t - 1)*(t + 1)**3
Let w = -164 + 155. Let v be (-10)/90*2 - 2/w. Let 0*z**2 + 0 + v*z**4 - 2*z**3 + 8/5*z + 2/5*z**5 = 0. What is z?
-2, -1, 0, 1, 2
Suppose -14*g + 10*g + 20 = 0. Suppose -2*w = -g*j - 0*w + 16, 4*w = 2*j. Determine t, given that 49*t**2 + 4*t**j + 21 + 24*t**3 - 57 - 24*t - 17*t**2 = 0.
-3, -1, 1
Suppose -6*r + 16 = -8. Let t(y) = -6*y + 0 - 4 + r*y**2 + 4*y + 2. Let i(k) = -k**2 + k. Let m(v) = 4*i(v) + 2*t(v). Factor m(f).
4*(f - 1)*(f + 1)
Suppose v + 0*s - 44 = -2*s, -v + 32 = -4*s. Suppose -v*x**2 - 6*x**4 - 18*x**4 + 69*x**3 + 12*x - 13*x**5 + 17*x**5 - 21*x**3 = 0. What is x?
0, 1, 3
Let y(b) be the first derivative of -b**4/30 - 2*b**3/15 - 5*b + 11. Let l(v) be the first derivative of y(v). Find k such that l(k) = 0.
-2, 0
Let z(d) = 19*d**4 - 8*d**3 - 5*d**2 + 2*d. Let n(a) = 14*a**4 - 7*a**3 - 5*a**2 + a. Let y(g) = -4*n(g) + 3*z(g). Factor y(w).
w*(w + 1)**2*(w + 2)
Let u(h) be the third derivative of h**6/420 + 43*h**5/210 + 110*h**4/21 - 484*h**3/21 - 5*h**2. Factor u(m).
2*(m - 1)*(m + 22)**2/7
Let m be 3822/1365 + (-2)/(-10). Determine u so that -m*u**5 - 96/5*u**2 - 66/5*u**4 - 114/5*u**3 - 6/5 - 39/5*u = 0.
-1, -2/5
Let i(j) = 6*j + 6. Let o be i(-2). Let n be (1/o)/((30/48)/(-5)). Factor n*d - 10/3*d**2 + 0 + 2*d**3 - 2/3*d**5 + 2/3*d**4.
-2*d*(d - 1)**3*(d + 2)/3
Let 104/9*w - 2704/9 - 1/9*w**2 = 0. What is w?
52
Let r = -232 - -236. Let n(k) be the second derivative of 1/30*k**3 - 6*k + 0 + 1/60*k**r + 0*k**2. Solve n(s) = 0.
-1, 0
Let v = 34 - 5. Let r = -26 + v. Factor 28*a - 4*a**2 - 8 + 6*a**3 + 14*a**r - 43*a**2 - 4*a**4 + 11*a**2.
-4*(a - 2)*(a - 1)**3
Let u = -17 + -36. Let r = -51 - u. Determine o so that 0 - 2/7*o**5 - 12/7*o**3 + 8/7*o**4 + 8/7*o**r - 2/7*o = 0.
0, 1
Let b(d) be the first derivative of 4 + 0*d + 2/3*d**2 + 2/15*d**5 + 2/3*d**4 + 10/9*d**3. Factor b(w).
2*w*(w + 1)**2*(w + 2)/3
Suppose 2*j - 3*x - x = -2, -2*x = j - 3. Let v be ((-15)/6 + 2)*(-1)/j. Factor -v*d**2 + d**3 - 1/2*d**4 + 0*d + 0.
-d**2*(d - 1)**2/2
Let z = 643 - 643. Let s(w) be the second derivative of 0*w**6 + 0*w**3 + 0*w**2 + 1/252*w**7 - 3*w + 0 + z*w**4 - 1/120*w**5. Solve s(f) = 0.
-1, 0, 1
Suppose 63 = -2*t - t. Let s = t - -22. Solve 2 + s - 3*n - 3 - n**2 = 0 for n.
-3, 0
Let a(p) be the first derivative of 2*p**7/105 + 2*p**6/15 + p**5/3 + p**4/3 - 15*p**2 + 12. Let u(c) be the second derivative of a(c). What is y in u(y) = 0?
-2, -1, 0
Let z(j) = 11*j - 8. Let o be z(4). Let a = o + -32. Factor 1/3*r**5 + 0 - 1/3*r**3 + 0*r + 1/3*r**2 - 1/3*r**a.
r**2*(r - 1)**2*(r + 1)/3
Let f(u) be the first derivative of 2*u**5/65 - u**4/13 - 8*u**3/13 - 14*u**2/13 - 10*u/13 - 67. Factor f(c).
2*(c - 5)*(c + 1)**3/13
Let q(a) be the third derivative of 0*a - 1/12*a**3 + 1/160*a**5 + 7*a**2 + 0 + 1/1680*a**7 + 1/240*a**6 - 1/48*a**4. Suppose q(v) = 0. Calculate v.
-2, -1, 1
Suppose 0 = -3*d - 4*r - 56 + 294, d = -4*r + 82. Find o, given that -d*o**2 + 2*o**3 - 9*o + o - 23*o**3 + 32*o = 0.
-4, 0, 2/7
Let s be (-234)/195*(-6550)/120. Solve -22*p + 2 + 3969/2*p**4 - s*p**2 + 693*p**3 = 0 for p.
-2/7, 1/9
Let b(d) be the first derivative of -2 + 3/20*d**4 + 0*d - 3/5*d**2 + 1/5*d**3. Factor b(f).
3*f*(f - 1)*(f + 2)/5
Let n(m) = -m**2 + m + 1. Suppose -3*v = 3*a - 9, 0 = 4*v - a - a - 18. Let w(u) = 6*u**2 - 12*u - 11. Let x(d) = v*w(d) + 28*n(d). Factor x(s).
-4*(s + 1)*(s + 4)
Let b(u) be the first derivative of 9*u**6/20 + 6*u**5/5 + 4*u**4/3 + 9*u**3 + 48. Let w(j) be the third derivative of b(j). Find y, given that w(y) = 0.
-4/9
Let q be -1 - -1*(-10)/(-8). Suppose 0 = -5*t - x, -19*t + x = -14*t. Suppose t*n + 1/4*n**4 - 1/2*n**2 + q + 0*n**3 = 0. What is n?
-1, 1
Let g be (-5)/(-10) - (-15)/2. Let i = 12 - g. Determine n so that -5*n**4 + n**i - 4*n**3 + n - n = 0.
-1, 0
Let b(d) be the second derivative of d**7/35 - 11*d**6/45 + 7*d**5/25 + 5*d**4/9 - 17*d**3/15 + d**2/3 - 3*d - 21. Determine i, given that b(i) = 0.
-1, 1/9, 1, 5
Let g(h) be the first derivative of h**6/6 + 7*h**5/5 - h**4/2 - 14*h**3/3 + h**2/2 + 7*h + 151. Factor g(b).
(b - 1)**2*(b + 1)**2*(b + 7)
Factor 3*p + 1183 + 21*p - 1210 + 3*p**2.
3*(p - 1)*(p + 9)
Let m(b) be the second derivative of 34*b + 0 + 2/3*b**3 - 4*b**2 + 1/3*b**4. Factor m(n).
4*(n - 1)*(n + 2)
Let q(a) be the first derivative of -a**6/45 - 2*a**5/15 - 7*a**4/30 + 2*a**3/45 + 8*a**2/15 + 8*a/15 - 79. Suppose q(d) = 0. Calculate d.
-2, -1, 1
Let s = 150 - 142. Suppose 2*q + s*q = 11*q. Solve -2/3 + 2/3*p**2 + q*p = 0 for p.
-1, 1
Let t be (8/(10/5))/2. Solve -2*g - 5*g + g**3 + 2*g**2 + 0*g**2 + 0*g**t + 4 = 0.
-4, 1
Let w(f) be the second derivative of f**4/96 + 5*f**3/24 + 21*f**2/16 - 20*f + 2. Determine i, given that w(i) = 0.
-7, -3
Let q(u) = -8*u**5 + 44*u**4 - 80*u**3 + 36*u**2 - 8. Let v(l) = l**5 + l**3 + 2. Let t(k) = q(k) + 4*v(k). Determine d so that t(d) = 0.
0, 1, 9
Let q = 14561 - 14559. Factor -17/9*m**q - 64/9 + 1/9*m**3 + 80/9*m.
(m - 8)**2*(m - 1)/9
Suppose 8*w - 20 - 4 = 0. Determine m, given that 27*m**3 - 3*m**2 - 3*m - 30*m**3 - w*m**2 = 0.
-1, 0
Factor -13 - 37/3*t**2 - 77/3*t + 1/3*t**3.
(t - 39)*(t + 1)**2/3
Let f(g) = -10*g - 66. Let d be f(-7). Let a be ((-1)/4)/((-2)/4). Suppose -1/3*b**3 + 1/6 + 1/3*b**2 - a*b**d + 1/2*b - 1/6*b**5 = 0. What is b?
-1, 1
Let g be (-2860)/(-2640) + 2/(-42) + (-2)/7. Suppose g*o**2 - 1/2 - 1/4*o = 0. What is o?
-2/3, 1
Let x(s) = 2*s**5 + 5*s**4 + 13*s**3 - 5*s - 5. Let y(c) = -3*c**5 - 8*c**4 - 19*c**3 + 7*c + 7. Let n(z) = -7*x(z) - 5*y(z). Find q such that n(q) = 0.
-4, -1, 0
Let q(r) be the third derivative of 42*r**2 + 1/30*r**6 + 0 + 0*r + 2/3*r**4 - 1/3*r**5 + 0*r**3. Determine u so that q(u) = 0.
0, 1, 4
Let t be -1*(-5 - -4)*1. Let j be 0/(2/(-1))*t/(-2). Factor 1/2*g**2 + 1/4*g**3 + 0*g - 1/4*g**4 + j.
-g**2*(g - 2)*(g + 1)/4
Suppose 4*k - 8 = -2*p - 22, -3*p + 14 = -k. Let g(s) = -2*s**3 - s**2 + 2*s. Let y(d) = -d**3 - d**2 + d. Let n(z) = p*y(z) - 3*g(z). Factor n(h).
3*h*(h - 1)*(h + 1)
Let j(c) = c + 12. Let h be (-2)/9 - (-16)/72. Let l be j(h). Factor -5*n**3 - 4*n - 3*n**3 + 16 - 12*n**2 + 4*n**4 + 8*n + l*n.
4*(n - 2)**2*(n + 1)**2
Let u(p) be the first derivative of -1/12*p**3 - 5/8*p**2 - 28 + 0*p. Determine r, given that u(r) = 0.
-5, 0
Suppose u + 19 = 3*l, 24 + 0 = -u + 4*l. Let z be ((-20)/8)/5*u. What is f in 2 + f**z + 7*f - 3*f + f - 8*f = 0?
1, 2
Factor -265*o**2 - 55*o**3 + 40*o**2 - 53*o**3 + 3*o**4 - 114*o.
3*o*(o - 38)*(o + 1)**2
Let y(r) = -21*r**3 + 3*r**2 + 7*r - 3. Let c(g) = 10*g**3 - g**2 - 4*g + 1. Let t(f) = 14*c(f) + 6*y(f). Factor t(w).
2*(w - 1)*(w + 1)*(7*w + 2)
Find n such that 8*n**2 - 26*n**2 - 152*n + 15*n**2 - 160*n = 0.
-104, 0
Let i(c) be the first derivative of -2*c**5/5 + 2*c**4 + 34*c**3 + 90*c**2 + 630. Find t such that i(t) = 0.
-3, 0, 10
Let r(n) be the first derivative of 2*n**3/15 + 32*n**2/5 - 66*n/5 + 628. Factor r(y).
2*(y - 1)*(y + 33)/5
Suppose 7267*x - 7271*x + 0 + 3 + 4*x**2 - 3 = 0. What is x?
0, 1
Let i(s) be the first derivative of -s**6 + 16*s**5/5 - 2*s**4 + 231. Find t, given that i(t) = 0.
0, 2/3, 2
Let l(o) be the first derivative of o**4/12 - 5*o**3/9 + o**2 - 38. Let l(w) = 0. Calculate w.
0, 2, 3
Let u(d) be the second derivative of 1/120*d**5 - 1/48*d**4 + 0*d**2 - 1/720*d**6 + 0 - 5*d + 1/3*d**3. Let i(f) be the second derivative of u(f). Factor i(w).
-(w - 1)**2/2
Let p(m) = -2*m. Let q be p(-2). Suppose q*y = -5*s + 22, y = -5*s + 5*y - 2. Find w such that 8*w**3 - w**5 - 5*w**5 - 4*w + s*w**5 = 0.
-1, 0, 1
Let r be (-6)/(-8) - 930/(-40). Let -19 + 40 - r*j - 13 - 15*j**2 - 3*j**3 - 20 = 0. Calculate j.
-2, -1
Let w(u) be the second derivative of u**6/60 + u**5/20 