c*(c - 1)**2*(c + 1)**2/3
Let k(s) = -34*s - 22. Let v be k(-1). Suppose 2*w - 33 = -t, -6*t + 21 = w - t. Determine x so that -32/7 + v*x**4 + w*x + 8*x**2 - 220/7*x**3 = 0.
-2/3, 2/7, 1, 2
Let i = 30740 + -30736. Factor q**2 + 0*q + 0 - 3/4*q**i + q**3.
-q**2*(q - 2)*(3*q + 2)/4
Suppose 10*o + 12 + 18 = 0. Let f(g) = -g**2 - 7*g - 10. Let b be f(o). Factor 0*i**b + 3/7*i**3 - 3/7*i + 0.
3*i*(i - 1)*(i + 1)/7
Let c(q) be the second derivative of -q**7/4200 - q**6/1200 + q**5/100 + 5*q**4/6 - 10*q. Let s(y) be the third derivative of c(y). Find k such that s(k) = 0.
-2, 1
Let o(l) = -17*l + 5. Let q be o(-5). Suppose 31*s - 8*s**3 + 3*s**3 - 16*s - q + 20*s**2 = 0. Calculate s.
-2, 3
Let l(y) be the first derivative of 2*y**5/45 - 5*y**4/9 + 58*y**3/27 - 32*y**2/9 + 8*y/3 + 34. Factor l(x).
2*(x - 6)*(x - 2)*(x - 1)**2/9
Let w(k) = -6*k - 1. Let h be w(-1). Suppose 2*n + 2 = -t + h, -3*t + 5*n = -20. Factor t*f + f - f - f + 12*f**2.
4*f*(3*f + 1)
Let r(o) be the second derivative of -208/3*o**3 + 91/5*o**5 - 49/30*o**6 + 0 - 47*o**4 - 32*o**2 - 14*o. Factor r(a).
-(a - 4)**2*(7*a + 2)**2
Let d = 9 + -3. Determine r so that d - 2*r**4 + 573*r**2 - 545*r**2 + 2*r**5 - 4*r**3 - 8*r**3 - 22*r = 0.
-3, 1
Let f(s) = 9*s**2 - 9*s + 2. Let o be f(5). Factor -g**5 - 25*g**2 - 189*g**4 - 4 + 2*g**5 + o*g**4 + 16*g + 19*g**3.
(g - 2)**2*(g - 1)**3
Let b be 12/16 + (-2)/(-8). Let t be 1/(b/(3/(-1))) + 6. Determine w so that -4/13 - 10/13*w - 6/13*w**2 + 2/13*w**4 + 2/13*w**t = 0.
-1, 2
Let u(q) be the first derivative of -50/3*q**3 - 125/2*q**2 - 10 - 5/4*q**4 + 0*q. Find w such that u(w) = 0.
-5, 0
Let 0*f**2 + 1/2*f**5 + 0 + 0*f**4 - 2*f**3 + 0*f = 0. What is f?
-2, 0, 2
Let j(o) = 4*o**2 - 20*o + 14. Let a(v) = -v**2 + 4*v - 3. Let b(q) = -14*a(q) - 3*j(q). Factor b(n).
2*n*(n + 2)
Suppose -228/17 + 14/17*u**2 - 794/17*u = 0. What is u?
-2/7, 57
Suppose -5*d = -4*q - 2, 3*q - 1 - 15 = -5*d. Suppose 2 = q*a - 26. Let 10*r**2 - 4 + a*r - 8*r**3 + 0*r**2 + 0*r**2 = 0. Calculate r.
-1, 1/4, 2
What is m in 0*m - 2/19*m**4 + 0 + 4/19*m**2 - 2/19*m**3 = 0?
-2, 0, 1
Let b(t) be the first derivative of -t**5 - 15*t**4/4 - 5*t**3/3 + 15*t**2/2 + 10*t - 65. Factor b(y).
-5*(y - 1)*(y + 1)**2*(y + 2)
Suppose 0 = -3*x + 16 + 29. Let c = x + -15. Let -2/5*p + 18/5*p**2 + c - 10*p**4 - 6*p**3 = 0. What is p?
-1, 0, 1/5
Let u(v) be the first derivative of 10*v**6/3 - 76*v**5/5 + 18*v**4 + 40*v**3/3 - 46*v**2 + 36*v - 78. Factor u(x).
4*(x - 1)**3*(x + 1)*(5*x - 9)
What is f in 1/4*f**2 - 1/2 - 1/4*f = 0?
-1, 2
Let w(l) = l**3 - 2*l. Let a(v) = -v**5 - 3*v**4 - 7*v**3 + 16*v**2 + 22*v - 16. Let u(d) = 2*a(d) + 22*w(d). Find p, given that u(p) = 0.
-2, 1, 2
Let u be 31/310*20/12. Factor -1/6 + 1/3*y - u*y**2.
-(y - 1)**2/6
Let b = 30 + -24. Let k be (22/(-110))/(-1 + b/10). Factor -1/2*w**3 + 2/3*w**4 + 1/6 - 5/6*w**2 + k*w.
(w - 1)**2*(w + 1)*(4*w + 1)/6
Let i(d) = -2*d**3 + 2*d**2 - 3*d + 3. Let b(g) = -g**3 + g**2 + g - 1. Let m be 117/(-143) + 4/(-22). Let z(h) = m*i(h) - 3*b(h). Factor z(y).
5*y**2*(y - 1)
Let -130*c**3 + 148*c**3 - 27*c**2 - 2*c**4 - c**4 = 0. What is c?
0, 3
Suppose 64 = 30*r + 2*r. Factor 1/6*t + 1/6*t**4 - 1/3*t**3 + 1/6*t**5 + 1/6 - 1/3*t**r.
(t - 1)**2*(t + 1)**3/6
Find g, given that -32*g**2 - 8*g**3 - 449*g**4 + 4*g**5 - 441*g**4 + 4*g + 16 + 906*g**4 = 0.
-4, -1, 1
Let t = -123 + 123. Let o(z) be the third derivative of t + 2/135*z**5 - 1/27*z**4 - 1/540*z**6 + 0*z + 7*z**2 + 0*z**3. What is w in o(w) = 0?
0, 2
Let s be ((-6)/4)/(3/(-18)). Find r such that 5*r**3 - s*r**2 - 37*r**3 - 7*r**2 + 55*r**4 + 20*r**5 - 27*r**4 = 0.
-2, -2/5, 0, 1
Factor -1/3*z**3 + 7/6*z**2 - 2/3 - 2/3*z.
-(z - 2)**2*(2*z + 1)/6
What is b in 33/8*b**2 + 31/8*b + 5/4 + 1/8*b**4 + 13/8*b**3 = 0?
-10, -1
Let t(o) = -11*o + 3*o - o**3 - 2 + 4 + 6*o**2. Let c be t(4). Suppose -1/3*h**c - 1/3*h**4 + 0 + 0*h - 2/3*h**3 = 0. Calculate h.
-1, 0
Let s(k) be the second derivative of -k**6/3 + 17*k**5/30 - k**4/9 + k - 36. Suppose s(z) = 0. Calculate z.
0, 2/15, 1
Let v = 18 + -17. Let f(j) = -4 + 3 - 1 + 3. Let p(q) = -q**2 + 2*q - 5. Let t(l) = v*p(l) + 4*f(l). Find y, given that t(y) = 0.
1
Let v(z) = -3*z - 103. Let o be v(-35). Factor 0 + 4/9*l + 2/9*l**o.
2*l*(l + 2)/9
Let m(o) be the third derivative of o**7/1785 + 2*o**6/85 - 5*o**5/102 - 655*o**2. Factor m(v).
2*v**2*(v - 1)*(v + 25)/17
Let q = 1207 - 1203. Let j(k) be the first derivative of 2*k**2 + 1/3*k**3 + q + 4*k. Factor j(b).
(b + 2)**2
Let y be ((-8)/(-3))/((-16)/(-24)). Suppose 4*d**2 - 115 + 115 - y*d = 0. What is d?
0, 1
Let n be ((-2)/(-6))/(((-35)/(-90))/7). Determine b, given that -4*b**4 - 53*b - n*b**4 - 7*b - 12 + 2*b - 54*b**3 - 90*b**2 = 0.
-3, -1, -2/5
Let v be (-1824)/(-7752) + 30/17. Determine a so that 0*a - 1/6*a**3 + 1/6*a**4 - 1/3*a**v + 0 = 0.
-1, 0, 2
Determine f, given that 30 + 3*f - 5*f**2 + 0*f**2 - f - 4*f - 3*f = 0.
-3, 2
Let b(j) be the third derivative of j**6/40 - 17*j**5/20 + 31*j**4/8 - 15*j**3/2 - j**2 + 1. Factor b(o).
3*(o - 15)*(o - 1)**2
Let l be ((-142)/10 - 2)/((-6)/(-39)). Let q = -209/2 - l. Find o such that 0*o**3 + 4/5*o**2 - q*o**4 - 2/5*o + 2/5*o**5 + 0 = 0.
-1, 0, 1
Suppose 24*n**5 - 96 - 74*n**4 - 103 + 150*n**2 + 136*n - 60*n**3 + 223 = 0. What is n?
-1, -2/3, -1/4, 2, 3
Find c such that -24/7*c + 6/7*c**5 + 0 + 4*c**4 + 22/7*c**3 - 32/7*c**2 = 0.
-3, -2, -2/3, 0, 1
Suppose -8*q - 52*q - 45*q + 210 = 0. Factor -1/8*v**q - 25/8 + 5/4*v.
-(v - 5)**2/8
Let w = 1370 + -1367. Let s(q) be the first derivative of 0*q**2 - 1/3*q**w - 1/4*q**4 + 6 + 0*q. Factor s(x).
-x**2*(x + 1)
Suppose -52*b + 34*b = -33*b. Determine q so that 4/7*q**3 + b*q**2 + 0 - 4/7*q**4 + 0*q = 0.
0, 1
Let a = 79 - 54. Let b = a + -23. Factor 6/7*t**b + 6/7*t + 2/7 + 2/7*t**3.
2*(t + 1)**3/7
Let w(o) = -o**3 - 7*o**2 + 7*o - 27. Let m be w(-8). Let t = m + 21. Find j, given that 0 + 1/2*j**3 + j**t + 0*j = 0.
-2, 0
Let n(m) be the second derivative of m**7/420 - m**6/180 - m**5/30 + 23*m**3/6 - 22*m. Let p(f) be the second derivative of n(f). Suppose p(o) = 0. Calculate o.
-1, 0, 2
Let g be (-1)/(-2) - (-12)/(-24). Let f(c) be the third derivative of -7*c**2 - 1/6*c**3 + 0 + 1/120*c**5 - 1/48*c**4 + g*c. Let f(j) = 0. What is j?
-1, 2
Suppose 2*u + 2*u - 4*t = 24, -t = 5*u - 18. Suppose 3*b - 4*y = 31, -u*b + 2*y = b - 75. Factor 3*p - 17 + b - 3*p**2.
-3*p*(p - 1)
Suppose x = 3, -2*r + 4*x - 30 = -5*r. Let b be (-12)/(-8) + 3*(-3)/r. Factor 2/3*k**3 + b + 0*k**2 + 0*k - 2/3*k**4.
-2*k**3*(k - 1)/3
Let w = -3439/12 + 1149/4. Factor 2*f - w + 8/3*f**2.
2*(f + 1)*(4*f - 1)/3
Let f(m) be the first derivative of m**7/105 - m**6/30 - m**5/30 + m**4/6 + 19*m**2 - 42. Let k(h) be the second derivative of f(h). Factor k(o).
2*o*(o - 2)*(o - 1)*(o + 1)
Let o(r) be the second derivative of r**6/120 - 5*r**5/16 + 5*r + 17. Determine k, given that o(k) = 0.
0, 25
Let m(a) = 59*a - 2830. Let w be m(48). Let w*r**2 + 24/5*r + 8/5 = 0. Calculate r.
-2, -2/5
Factor 2*o**3 - 16*o**2 - 128 - 12*o**3 - 4*o + 116*o + 6*o**3.
-4*(o - 2)**2*(o + 8)
Let i = -9 + 12. Factor -3*l**2 - 2*l**3 + 0*l**3 - 18*l + l**i + 4*l**3.
3*l*(l - 3)*(l + 2)
Let u(g) be the first derivative of g**5/80 + g**4/8 + g**3/2 + g**2 - 13*g + 6. Let x(z) be the first derivative of u(z). Factor x(h).
(h + 2)**3/4
Let j(n) = -8*n + 2*n**2 + 3*n**2 + 1 - 4*n**3 - 11*n**2 - 7*n**4. Let b(g) = 8*g**4 + 5*g**3 + 7*g**2 + 9*g - 1. Let h(q) = 6*b(q) + 7*j(q). Solve h(s) = 0.
-1, 1
Let k(i) be the third derivative of -1/105*i**7 - 1/9*i**3 + 0 + 1/1008*i**8 + 0*i + 1/8*i**4 + 7/180*i**6 - 4/45*i**5 - 5*i**2. Let k(b) = 0. What is b?
1, 2
Let f(i) be the first derivative of 2*i**3/39 + i**2 + 60*i/13 + 213. Solve f(y) = 0 for y.
-10, -3
Let g be 245/440 + (-105)/280. What is s in -8/11 - g*s + 2/11*s**3 + 8/11*s**2 = 0?
-4, -1, 1
Let f(x) be the third derivative of x**6/1080 - x**5/135 - 7*x**4/216 + 5*x**3/27 + 160*x**2. What is q in f(q) = 0?
-2, 1, 5
Factor -8*b**4 - 3*b + 3 - 39*b**3 - 18*b - 18*b**4 + 45*b**2 + 38*b**4.
3*(b - 1)**3*(4*b - 1)
Suppose 82 = 3*s + 6*c - 2*c, s - 34 = 2*c. Suppose -2*r + s = -18. Determine o, given that 72*o**2 - r*o**3 + 0*o**4 + 48 - o**4 + 5*o**4 - 96*o - o**4 = 0.
2
Suppose 3*f - 92 + 20 = 0. Factor 1400*u*