Let l(r) be the first derivative of -r**4/18 + 8*r**3/3 - 68*r**2/9 - 528. Solve l(d) = 0.
0, 2, 34
Suppose -138*i = -144*i + 30. Suppose -1/3*x**3 + 1/3*x**4 + 1/3*x**i + 0*x + 0 - 1/3*x**2 = 0. Calculate x.
-1, 0, 1
Let n(z) be the second derivative of 3*z**7/112 - z**6/48 - 5*z**5/48 - 5*z**4/48 + 11*z**3/6 + 13*z. Let p(l) be the second derivative of n(l). Factor p(i).
5*(i - 1)*(3*i + 1)**2/2
Let a be -2*(-7)/39*(-140)/(-98). Let q(x) be the first derivative of -24/65*x**5 + a*x**3 - 9/13*x**2 + 7 + 2/13*x**4 + 5/39*x**6 + 4/13*x. Solve q(n) = 0.
-1, 2/5, 1
Let q(v) be the second derivative of 1/100*v**5 + 0 - 2/5*v**2 + 3/10*v**3 + 13*v - 1/10*v**4. Factor q(z).
(z - 4)*(z - 1)**2/5
Suppose -2*j + 32 = 4*h, -7*j + 6*j - 19 = -5*h. Let c(d) be the first derivative of 0*d - 2/25*d**5 + 0*d**2 + 0*d**3 + 2 + 0*d**4 - 1/15*d**j. Factor c(w).
-2*w**4*(w + 1)/5
Let i be ((-4)/3)/((-1)/3) - 4. Suppose i*y = 2*y - 4. Factor 4/3*f**y + 2/3 + 1/3*f**3 + 5/3*f.
(f + 1)**2*(f + 2)/3
Let n be 7 + -5 - (0/(-3) - 0). Let h(d) be the first derivative of 4/3*d + 8/9*d**3 - 5/3*d**n + 3 - 1/6*d**4. Determine g so that h(g) = 0.
1, 2
Let w(t) be the second derivative of 0 - 1/84*t**4 - 1/42*t**3 - 37*t + 1/7*t**2. Factor w(n).
-(n - 1)*(n + 2)/7
Let b = 3/551 + 461/16530. Let t(x) be the third derivative of 2/3*x**4 + 0*x + 0*x**3 + 0*x**5 - b*x**6 + 0 - 2*x**2. Factor t(s).
-4*s*(s - 2)*(s + 2)
Let b = -57 + 62. What is q in 40*q + 14*q**b - 15 - 2 + 68*q**2 - q**3 - 32*q**4 + 1 - 33*q**3 = 0?
-1, 2/7, 2
Let c(x) be the third derivative of 0 + 0*x**3 + 0*x**5 + 8*x**2 + 1/30*x**6 + 0*x - 1/105*x**7 + 0*x**4. Suppose c(y) = 0. Calculate y.
0, 2
Suppose -5*s - 17*t = -19*t + 6, 9 = 2*s + 3*t. Determine b so that 0*b**2 + 0*b + s + 3/2*b**3 = 0.
0
Suppose 12 = 3*h, -3*l + h - 14 = -4*h. Solve -125*u**4 - 114*u**3 - 136*u**3 + 40*u - 14 + 14 + 20*u**l = 0 for u.
-2, -2/5, 0, 2/5
Suppose -53/2*g**2 + 34*g - 6 - 45/2*g**3 = 0. Calculate g.
-2, 2/9, 3/5
Let b(g) be the first derivative of 4*g**5 + 37*g**4/6 - 110*g**3/9 - 16*g**2/3 + 8*g/3 - 48. What is q in b(q) = 0?
-2, -2/5, 1/6, 1
Let m(w) be the third derivative of 1/120*w**6 + 0*w - 1/20*w**5 + 28*w**2 + 0 + 1/3*w**3 - 1/24*w**4 + 1/210*w**7. Factor m(c).
(c - 1)**2*(c + 1)*(c + 2)
Solve -50*a**2 - 5/3*a**3 - 500*a - 5000/3 = 0 for a.
-10
Suppose 6 = 5*q + 16. Let t(c) = -8*c**4 + 16*c**2 - 8. Let b(p) = p**3 + p**2 - p - 1. Let s(m) = q*t(m) + 12*b(m). Determine u, given that s(u) = 0.
-1, 1/4, 1
Factor 231/2*v - 42*v**2 + 3/2*v**3 - 75.
3*(v - 25)*(v - 2)*(v - 1)/2
Let v(d) be the second derivative of d**5/50 + d**4/15 - 13*d**3/15 + 2*d**2 - 2*d - 14. Factor v(j).
2*(j - 2)*(j - 1)*(j + 5)/5
Let j be 46/8 + 2/8. Let c = 8 - j. Determine t so that t**c - t**2 + 2 - t**3 + 3*t**3 - 2*t - 2*t**2 = 0.
-1, 1
Suppose -5*b**2 + 7*b**2 - 85*b + 93*b + 3*b**4 - 8*b**3 - 5*b**4 = 0. Calculate b.
-4, -1, 0, 1
Let x(v) = 0 - 7*v + 1 + 5*v. Let l be x(-2). Find d, given that 25*d**4 + 17/2*d**3 - 39/2*d**2 - 12*d**l + 2 - 4*d = 0.
-2/3, -1/2, 1/4, 1, 2
Factor 21*a**2 + 50 - 20*a + 5*a**3 - 51*a**2 + 20*a**2 - 10.
5*(a - 2)**2*(a + 2)
Let m(b) = 3*b**2 + 32*b - 76. Let a(q) = -2*q**2 - 16*q + 40. Let n(l) = 5*a(l) + 3*m(l). Suppose n(z) = 0. What is z?
2, 14
Let i = -27061/7 - -3866. Solve 0*b + i*b**3 + b**2 - 3/7*b**4 - 4/7 - 1/7*b**5 = 0.
-2, -1, 1
Factor -168 - 5*n**2 + 25 - 116 - 305*n - 21 - 20.
-5*(n + 1)*(n + 60)
Let u(d) be the first derivative of d**6/900 + d**5/300 - 14*d**3 - 51. Let v(q) be the third derivative of u(q). Factor v(w).
2*w*(w + 1)/5
Suppose 4*w - 5 = 79. Let p be -2 + (-5)/((-45)/w). Factor -5/3*r - 2/3 - 4/3*r**2 - p*r**3.
-(r + 1)**2*(r + 2)/3
Let g(t) = -7*t**3 - 26*t**2 - 6*t - 6. Let j(p) = 9*p**3 + 27*p**2 + 7*p + 7. Let l(c) = 7*g(c) + 6*j(c). Factor l(k).
5*k**2*(k - 4)
Factor 2 + 535*m**3 + 537*m**3 - 1071*m**3 - 1 - m**2 - m.
(m - 1)**2*(m + 1)
Let t(x) be the second derivative of -x**9/1512 + x**7/420 - 3*x**3 + 16*x. Let i(s) be the second derivative of t(s). What is j in i(j) = 0?
-1, 0, 1
Factor 1/2*s - 13/2*s**2 + 13/2*s**4 - 1/2*s**3 + 0.
s*(s - 1)*(s + 1)*(13*s - 1)/2
Suppose q - 4*q = -57. Let w = q + 6. Determine o, given that w*o + 1 + 10*o**3 + 15 + 7*o - 8*o - 36*o**2 = 0.
-2/5, 2
Let m(a) = a**3 + 4*a**2 - 5. Let t be m(-3). Find c such that -72 + 72 - 3*c**t + 12*c**5 = 0.
0, 1/4
Let l(f) = f - 6. Let g = 54 - 45. Let u be l(g). Factor 1/3*c - 1/6*c**u - 1/6*c**2 + 0.
-c*(c - 1)*(c + 2)/6
Let z(c) be the second derivative of -11*c**4/8 + 8*c**3/3 + c**2/4 - 42*c. What is n in z(n) = 0?
-1/33, 1
Let l(v) be the second derivative of 3*v**7/112 - v**6/120 - 9*v**5/80 + v**4/24 + 3*v**3/16 - v**2/8 + 333*v. Find s, given that l(s) = 0.
-1, 2/9, 1
Let j(l) = 28*l**2 - 4*l - 8. Let w(f) = -f**2 + f + 1. Let t(n) = -j(n) - 24*w(n). Suppose t(r) = 0. What is r?
-4, -1
Let m be (-12)/(-12)*(1 - -24). What is x in 4*x**4 + m*x - 12*x**3 + 8*x**2 - 25*x = 0?
0, 1, 2
Let c(z) be the first derivative of -4*z**5 - 15*z**4 - 15*z**3 - 5*z**2 - 74. Factor c(f).
-5*f*(f + 2)*(2*f + 1)**2
Find z, given that 0 + 35*z**2 + 33/2*z**3 + 0*z - 1/2*z**4 = 0.
-2, 0, 35
Let u = -4009/5 + 799. Let p = 47/15 + u. Determine f so that p*f + 0 + 1/6*f**2 = 0.
-2, 0
Let n(i) be the first derivative of i**4/4 - 2*i**3 + 3*i**2/2 + 10*i - 185. Find l, given that n(l) = 0.
-1, 2, 5
Let f be ((-22848)/70)/(-24) - -12. Factor 2/5*b**2 + f + 32/5*b.
2*(b + 8)**2/5
Let r(g) = g**2 + 33*g + 12. Let j(n) = -5*n**2 - 130*n - 50. Let v(o) = -6*j(o) - 25*r(o). Determine w so that v(w) = 0.
0, 9
Let w = 1135/27 + -42. Let z(a) be the first derivative of 16/9*a**2 + 0*a**5 + 0*a**3 + w*a**6 - 4/9*a**4 + 0*a + 3. Suppose z(g) = 0. What is g?
-2, 0, 2
Let m = -126 + 130. Factor -62*s**2 - 11 + 9*s**m - s**5 + 43*s - 76*s**3 - 16*s**4 + 114*s**3.
-(s - 1)**4*(s + 11)
Let c(k) = k**2 + k. Let s(u) = 20*u**2 + 25*u + 5. Suppose 2*r - 3*b + 14 = -6*b, 4*r - 5*b - 16 = 0. Let w(q) = r*s(q) + 25*c(q). What is o in w(o) = 0?
-1, 1
Factor 8/5 - 8/5*i + 2/5*i**2.
2*(i - 2)**2/5
Solve -324/5 + 144*p - 80*p**2 = 0 for p.
9/10
Suppose 0 = -x + 6*x + 5*g - 30, -5*g = x - 18. Solve 3*f**2 + 3*f**3 - f - 5*f - x + 3*f = 0.
-1, 1
Suppose 0 = 5*t, g = -3*t + 3 + 10. Suppose -g = -10*h + 17. Factor 8/7*r + 12/7*r**2 + 8/7*r**h + 2/7*r**4 + 2/7.
2*(r + 1)**4/7
Let m be ((-2)/(-4))/((-1)/(-4)). Let b = 8 - m. Determine v, given that -b*v + 2*v**2 + 4 - 2 + 10*v = 0.
-1
Let j(i) be the third derivative of i**5/480 - 7*i**4/24 + 49*i**3/3 - 210*i**2. Suppose j(x) = 0. What is x?
28
Suppose 11438*x = 11429*x + 36. Factor 2/9*g**x + 2/9 + 0*g - 4/9*g**2 + 0*g**3.
2*(g - 1)**2*(g + 1)**2/9
Let b be (-1)/(-6) - (-402)/180. Let a = b + 27/20. Solve 3/4*h**3 - 3*h**2 + a*h - 3/2 = 0.
1, 2
Let z = -1 - -3. Factor -4 + 19*t - 8*t + 13*t - 14*t**z - 22*t**2.
-4*(3*t - 1)**2
Let v(s) be the first derivative of s**6/51 + 6*s**5/17 + 63*s**4/34 + 10*s**3/51 - 264*s**2/17 + 360*s/17 + 33. Find i, given that v(i) = 0.
-6, -5, 1
Suppose -p + 2 = -s, 1 = -p - s + 5. Suppose 0 = 4*l + 4*h + h - 13, -3*l - 4*h = -10. Suppose 3*d - 1 + l*d**2 + 8*d - p*d + 9 = 0. What is d?
-2
What is t in 20/3 + 46*t - 112*t**3 + 32/3*t**4 + 146/3*t**2 = 0?
-1/4, 1, 10
Let n(m) = -12*m**2 + 25*m - 53. Let q(a) = 7*a**2 - 13*a + 27. Let r(b) = -3*n(b) - 5*q(b). Factor r(j).
(j - 6)*(j - 4)
Suppose 2*h + 4*u - 201 = -185, 4*u - 8 = 0. Let j(n) be the first derivative of 0*n - 2/15*n**3 - 2/5*n**2 - h + 1/10*n**4. Factor j(b).
2*b*(b - 2)*(b + 1)/5
Suppose -15*b = 20*b - 70. Let g(z) be the second derivative of 0 + 1/2*z**3 - 10*z - 3/8*z**4 + 0*z**b. Suppose g(u) = 0. Calculate u.
0, 2/3
Let i(z) = -12*z**2 - 9*z + 21. Let k(l) = -10*l**2 - 10*l + 20. Let q(r) = 4*i(r) - 5*k(r). Factor q(h).
2*(h - 1)*(h + 8)
Let t = 81/32240 + 2/1209. Let y(o) be the third derivative of -3*o**2 + 0*o + 0 - 1/12*o**4 - 1/30*o**5 + 0*o**3 - t*o**6. Solve y(b) = 0.
-2, 0
Let y be (23 + 15713/(-684))*12. Solve -b + 2/3 + y*b**2 = 0.
1, 2
Let o be ((58 - 62) + (-532)/(-130))*10/3. Find t, given that -2/13*t**4 - o + 2/13*t**3 + 6/13*t**2 - 2/13*t = 0.
-1, 1, 2
Suppose 0 - 2 = 3*p - h, -10 = 4*p - 5*h. Let s(k) be the third derivative of -1/60*k**4 + 1/150*k**5 + 8*k**2 + p + 0*k**3 + 0*k