+ 0 + 0*b**3 + 2/5*b - 4/5*b**2 - 2/5*b**t = 0.
-1, 0, 1
Let f be (4/(-6))/(748/150 + -5). Let m be -6*(-45)/f - (-4)/(-10). Determine g so that -4/9 + 8/3*g**4 + 10/9*g**m + 8/9*g**3 - 20/9*g**2 - 2*g = 0.
-1, -2/5, 1
Solve 5*u + 2/3 + 16*u**3 - 104/3*u**2 = 0 for u.
-1/12, 1/4, 2
Let j(z) be the second derivative of z**6/135 - 19*z**4/54 - 10*z**3/9 + 146*z. Factor j(o).
2*o*(o - 5)*(o + 2)*(o + 3)/9
Let v = -13109/30 + 437. Let h(k) be the second derivative of 2*k + 2/15*k**3 - 1/5*k**2 - v*k**4 + 0. Determine l, given that h(l) = 0.
1
Let a(t) = t**3 - 3*t**2 + 11. Let m be a(8). Let n = -173 + m. Factor 14*k**3 + n - 2*k - 158 - 4*k**2 - 8*k**4.
-2*k*(k - 1)**2*(4*k + 1)
Let o = 86 - 86. Let d(h) be the third derivative of -1/120*h**5 + 1/12*h**3 + h**2 + 0*h + o + 0*h**4. Solve d(p) = 0.
-1, 1
Let v = 10 + -14. Let u be 1 + v - ((-245)/30 + 5). Solve -1/3 - 1/6*o + u*o**3 + 1/3*o**2 = 0 for o.
-2, -1, 1
Let s = 43276 + -43276. What is q in 1/8*q**3 + s*q + 0 - 1/4*q**2 = 0?
0, 2
Let u = 5080521/13 + -390480. Let w = u - 329. Suppose -w*c**3 + 0*c**4 + 0*c**2 + 0 + 2/13*c**5 + 2/13*c = 0. What is c?
-1, 0, 1
Find q such that -10*q - 2*q - 752*q**2 + 751*q**2 - 11 = 0.
-11, -1
Let -569*r**3 - 5*r**4 + 30*r**2 + 574*r**3 - 40 - 2*r - 18*r = 0. What is r?
-2, -1, 2
Suppose -6*t + 4*t + 8 = 0. Let m be (-12)/24 - (-18)/t. Factor 6*o**4 - 8 - 14*o**2 + 4*o**3 - 8*o**2 + m*o**2 - 24*o.
2*(o - 2)*(o + 1)**2*(3*o + 2)
Let z(v) be the third derivative of -v**5/4 - 235*v**4/24 - 25*v**3 + 2*v**2 + 9*v. Find l, given that z(l) = 0.
-15, -2/3
Let n(l) = -l**4 - l**3 - l**2 + 2*l - 2. Let o(i) = -3*i**4 + 6*i**3 + 6*i**2 - 92*i - 148. Let z(v) = -2*n(v) + o(v). Factor z(c).
-(c - 6)**2*(c + 2)**2
Suppose -3 = -o - 2*i, 3*i = -o + 6 - 3. Factor -25 + 32*r + 21 + 3*r**4 - 8*r**o - 8*r**2 - 12.
(r - 2)**2*(r + 2)*(3*r - 2)
Let o(w) = w**3 - w - 1. Let h(q) be the first derivative of -2*q**3 + 91*q**2 - 88*q**2 - 3*q - 4 + 0 + q**4. Let m(k) = h(k) - 3*o(k). Factor m(g).
g*(g - 3)**2
Let y = -74 - -82. Suppose -4*x**2 + y*x**3 - 10*x**3 + 2*x**5 + 4*x**4 + 0*x**5 = 0. What is x?
-2, -1, 0, 1
Let -3*h + 25 - 42 + 21*h**2 + 3*h**3 - 4 = 0. What is h?
-7, -1, 1
Let j(v) be the second derivative of 1/42*v**7 + 0 - 2*v + 0*v**2 - 1/3*v**4 + 2/15*v**6 - 1/2*v**3 + 1/10*v**5. Factor j(t).
t*(t - 1)*(t + 1)**2*(t + 3)
Let y = 4922/3 - 1640. Factor 0*g**2 + 2/3*g**3 - y*g + 1/3 - 1/3*g**4.
-(g - 1)**3*(g + 1)/3
Let z(h) be the second derivative of 1/5*h**4 - 18*h - 1/25*h**5 + 0 - 4/15*h**3 + 0*h**2. Solve z(a) = 0.
0, 1, 2
Let c be -57 + 49 - (-1 - 11). Let o(j) be the second derivative of -2/9*j**3 + 4/3*j**2 + 1/72*j**c + 0 - 12*j. Factor o(p).
(p - 4)**2/6
Let c be 2 + (-12 - (-12 + -2)). Let r(k) be the first derivative of 0*k - 5/2*k**2 + 0*k**3 + 5/4*k**c + 7. Determine v, given that r(v) = 0.
-1, 0, 1
Let t = 109 + -105. Suppose t*g - 6 - 6 = b, -4*g - 12 = 5*b. Factor 6/7 + 4/7*v - 2/7*v**g.
-2*(v - 3)*(v + 1)/7
Let i = 3 + -8. Let f(s) = -s**2 - 8*s - 2. Let c be f(i). Let c*t + 16*t + 5*t - 40*t**2 - 6 = 0. Calculate t.
1/4, 3/5
Let s be (1/3)/(6/144). Suppose -5*g = -5*w - 3 + s, -5*w + 25 = 0. Factor r - r + 2*r + 1 - r**3 - r**3 - r**g.
-(r - 1)*(r + 1)**3
Let u(j) be the third derivative of -j**8/1344 - 13*j**7/840 - j**6/10 - 3*j**5/20 - 93*j**2. Suppose u(s) = 0. Calculate s.
-6, -1, 0
Let t(d) = -125*d**2 + 66*d - 17. Let u(w) = -191*w**2 + 99*w - 26. Let k(z) = 8*t(z) - 5*u(z). Solve k(q) = 0 for q.
1/3, 2/5
Factor -24 - 33*i**3 - i**5 + 10*i**4 + 8*i**4 - 5*i**5 + 36*i + 3*i**5 + 6*i**2.
-3*(i - 2)**3*(i - 1)*(i + 1)
Let t(a) be the second derivative of a**7/504 - a**4 + 7*a. Let y(c) be the third derivative of t(c). Factor y(s).
5*s**2
Let y(x) be the first derivative of x**3/3 + x**2/2 - 4*x - 74. Let o be y(-3). Determine w, given that -22/3*w - 4/3 - 6*w**o = 0.
-1, -2/9
Let i be (3/6)/((-6)/(-24)). Suppose -c = 5*t - 14, -c - 3*c = -i*t - 12. What is n in -2/3*n**t + 8/3*n - 8/3 = 0?
2
Determine l, given that -21/2*l**4 - 15*l**3 + 3/2*l**5 + 24*l**2 + 0 + 0*l = 0.
-2, 0, 1, 8
Let c be (-3)/(-15) - (-108)/10. Let u = c - 4. Factor 12*i**2 - 4*i + u*i + 3*i - 2*i.
4*i*(3*i + 1)
Let f(b) be the third derivative of -1/2*b**4 + 0*b - 4/3*b**3 + 0 - 14*b**2 - 1/15*b**5. Find t such that f(t) = 0.
-2, -1
Suppose 0*x - 10 = -5*x. Factor 35 - 17 - 2*n + n**x - 17.
(n - 1)**2
Let v = 6 + -4. Suppose -113*l - 24 = -119*l. Factor -4*f**3 + l*f**2 + 4*f**3 - 3*f**v - f**4.
-f**2*(f - 1)*(f + 1)
Let m(p) = p**2 + 3*p. Let y(a) = 20*a**2 + 184*a + 132. Let c(n) = 16*m(n) - y(n). Solve c(d) = 0.
-33, -1
Let m(g) be the first derivative of -g**6/18 - g**5/3 - 3*g**4/4 - 7*g**3/9 - g**2/3 - 132. Factor m(n).
-n*(n + 1)**3*(n + 2)/3
Let w be (-1880)/228 - 6/(-9) - -8. Factor 2/19*v**3 + w - 14/19*v + 4/19*v**2.
2*(v - 1)**2*(v + 4)/19
Let w = 163/12 + -40/3. Suppose 44 - 40 = p. Determine r so that -5/4*r**3 - 7/4*r + w*r**p + 1/2 + 9/4*r**2 = 0.
1, 2
Suppose q + z - 4 = 6, 0 = -4*q - 2*z + 50. Suppose 0 = 2*s - 25 + q, -4*a - 3*s = -27. Let -5/6*x**2 + 2/3*x**a - 1/6*x**4 + 1/3*x + 0 = 0. Calculate x.
0, 1, 2
Suppose -d + 72 = 8*d. Suppose -d*l = 35 - 59. Factor 16/3 + 3*j**2 + 1/3*j**l + 8*j.
(j + 1)*(j + 4)**2/3
Find z such that -17/2 - 29/4*z**2 - 1/2*z**3 + 83/4*z = 0.
-17, 1/2, 2
Let d(r) = r**4 + 7*r**3 + 4*r - 4. Let g(b) = 4*b**4 + 23*b**3 + 11*b - 11. Let p(m) = 11*d(m) - 4*g(m). Suppose p(l) = 0. Calculate l.
-3, 0
Let t be 42/15 - (-4)/20. Find q, given that 55*q**3 + 45*q + 2 - t + 6 + 115*q**2 - 120*q**4 + 0 - 100*q**5 = 0.
-1, -1/2, -1/5, 1
Determine o so that -121 - 1/4*o**2 + 11*o = 0.
22
Suppose 10 = 5*a - 0. Let w(n) = -5*n**2 + 25*n + 75. Let q(j) = 3*j**2 - 12*j - 38. Let f(c) = a*w(c) + 5*q(c). Factor f(i).
5*(i - 4)*(i + 2)
Suppose -3*l = -2*p + 27, p - l - 16 = -4. Suppose -6*i + 9 + p = 0. Find v such that 0 - 20/7*v**4 + 20/7*v**2 - 8/7*v**i + 8/7*v = 0.
-1, -2/5, 0, 1
Let f(p) be the first derivative of -2*p**3/3 - 39*p**2 + 164*p - 412. What is o in f(o) = 0?
-41, 2
Let a = 6139/8196 + 2/2049. What is p in 1/4*p + 0 + 3/4*p**2 + 1/4*p**4 + a*p**3 = 0?
-1, 0
Let i(x) be the first derivative of -289*x**5/35 - 17*x**4 - 48*x**3/7 - 8*x**2/7 - 19*x + 10. Let s(k) be the first derivative of i(k). Factor s(z).
-4*(z + 1)*(17*z + 2)**2/7
Let 146*f - 88/3 + 10/3*f**2 = 0. What is f?
-44, 1/5
Let s(n) be the third derivative of -n**8/1120 + n**7/168 - n**6/120 - n**4/24 + 13*n**2. Let l(f) be the second derivative of s(f). Factor l(q).
-3*q*(q - 2)*(2*q - 1)
Let n be (20/(-6))/((-2)/363). Let -17*a**2 + 5*a**3 + 5000 + 210*a + n*a + 167*a**2 + 685*a = 0. Calculate a.
-10
Let m(u) be the first derivative of -u**5/10 + u**4 - 8*u**3/3 + 418. Determine l, given that m(l) = 0.
0, 4
Let b(p) be the first derivative of 3*p**4/4 - 5*p**3 + 21*p**2/2 - 9*p + 47. Factor b(s).
3*(s - 3)*(s - 1)**2
Let r(j) be the third derivative of -j**8/2352 + j**6/280 + j**5/210 + 5*j**2 + 15. Find s such that r(s) = 0.
-1, 0, 2
Let q(p) = p**3 + p**2 + 2. Let z(m) = -21*m**3 - 36*m**2 - 27*m - 48. Let v(o) = -18*q(o) - z(o). Solve v(k) = 0.
-4, -1
Let s(l) be the first derivative of 49*l**4/3 - 56*l**3/3 + 8*l**2 + 13*l + 11. Let q(t) be the first derivative of s(t). Let q(j) = 0. What is j?
2/7
Let g(t) be the third derivative of t**8/1008 - t**7/630 - t**6/72 - t**5/60 + 7*t**2 - 6. Factor g(a).
a**2*(a - 3)*(a + 1)**2/3
Suppose 2*u - 5*b = -21, 3*b = 2*u - 10 + 21. Let h be 6/(-45) - 310/(-75). Factor h*f**u + f**4 + 0*f**2 + 8*f**3 + 3*f**4.
4*f**2*(f + 1)**2
Let b(p) be the third derivative of p**6/40 - 9*p**5/20 + 3*p**4 - 8*p**3 + p**2 + 12. Factor b(d).
3*(d - 4)**2*(d - 1)
Let z(r) be the first derivative of 2/13*r**2 + 2/13*r - 2/13*r**3 + 1. Suppose z(a) = 0. Calculate a.
-1/3, 1
Let g be (-6)/(-9) + 14/(-21). Suppose -4*b + 1 = 5*p + 21, -b + 5*p + 20 = g. Factor -j + b + 2/3*j**2.
j*(2*j - 3)/3
Factor 2/11*h**3 + 0*h + 0 - 12/11*h**2.
2*h**2*(h - 6)/11
Let u(v) be the third derivative of -v**6/180 + 13*v**5/90 - v**4/3 + 84*v**2. Factor u(g).
-2*g*(g - 12)*(g - 1)/3
Let b be (2/(-10))/(56/(-5460)). Factor b*p**2 + 9/2 + 39/2*p + 9/2*p**3.
3*(p + 1)*(p + 3)*(3*p + 1)/2
Let m(q) be the second derivative of q**5/100 + q**4/60 - 2*q**3/15 - 2*q**2