w**4 - 12 + 16*w = 0.
-2, 1, 3
Let y = -4683/2 - -2279. Let c = y - -64. Let -3*l - 1/4*l**3 + c*l**2 + 2 = 0. Calculate l.
2
Suppose -2*t - 3*t - 10 = 0. Let m be (-2 + 4 + t)/2. Determine p so that -1/3*p**2 + m + 1/3*p = 0.
0, 1
Suppose 4*h + 15 = -5. Let t = h + 9. Find d such that 7*d**3 - 225*d**3 - 116*d**4 - 136*d**t - 8*d - 98*d**5 - 72*d**2 = 0.
-1, -2/7, 0
Let m(a) be the second derivative of a**7/42 + 2*a**6/15 + 3*a**5/10 + a**4/3 + a**3/6 - 32*a. Let m(k) = 0. What is k?
-1, 0
Let n = 1913 + -1911. Factor 1/7*y**n + 6/7*y + 9/7.
(y + 3)**2/7
Let i be (((-108)/(-4))/3 - -3) + 0. Let a be (20/(-24) + 0)*i/(-15). Solve -2/3*r**4 + a*r**2 - 4/15*r**3 + 4/15*r + 0 = 0.
-1, -2/5, 0, 1
Let q = -12 - -33. Let u(p) = -4*p**3 - 32*p**2 + 137*p - 115. Let m(d) = d**3 + 11*d**2 - 46*d + 38. Let c(j) = q*m(j) + 6*u(j). Find s, given that c(s) = 0.
1, 6
Let c(s) be the third derivative of -s**6/24 - 7*s**5/6 - 55*s**4/6 - 100*s**3/3 + 15*s**2. Factor c(a).
-5*(a + 2)**2*(a + 10)
Let b(g) be the first derivative of g**5/240 + 7*g**4/96 + g**3/4 - 12*g**2 + 39. Let q(h) be the second derivative of b(h). Factor q(v).
(v + 1)*(v + 6)/4
Let u(f) be the third derivative of 1/20*f**5 + 0*f**3 + 5*f**2 + 1/8*f**4 + 0 + 0*f. Factor u(r).
3*r*(r + 1)
Let c = -187 - -190. Let g(d) be the third derivative of 0*d - 1/20*d**4 + 0 - 3/10*d**c + 1/100*d**5 + 9*d**2. Let g(p) = 0. Calculate p.
-1, 3
Let z(w) be the first derivative of 2/9*w**3 - 5 - 1/36*w**4 + 1/2*w**2 + 0*w - 1/90*w**5. Let b(q) be the second derivative of z(q). Factor b(h).
-2*(h - 1)*(h + 2)/3
Let k be (-2 - -1)/((-57)/171). Let g(u) be the second derivative of -1/39*u**k + 4*u + 1/195*u**6 - 3/130*u**5 + 0 + 1/26*u**4 + 0*u**2. Factor g(h).
2*h*(h - 1)**3/13
Let a = -22 + 25. Let u = 49 - 243/5. Factor 0 - u*w + 4/5*w**2 - 2/5*w**a.
-2*w*(w - 1)**2/5
Suppose 5*t + 53 = -f, -t + 5*f - 1 = 2*f. Let n be (-42)/t - (-3)/(-15). Factor -4*u**5 + 143*u**3 - 143*u**3 + 4*u**n.
-4*u**4*(u - 1)
Suppose 0 = 3*d - 5*t + 28, 8*d - t = 16 + 8. Determine x, given that -1/6*x**5 - 1/3*x + 0 + 1/6*x**2 - 1/6*x**d + 1/2*x**3 = 0.
-2, -1, 0, 1
Factor 0*d**2 - 2/11*d**5 + 0*d**3 + 0*d - 2/11*d**4 + 0.
-2*d**4*(d + 1)/11
Suppose -4*d - 212 = -8*d. Let -2*u - 15*u**2 + 12*u**2 - 54*u**3 + d*u**3 = 0. Calculate u.
-2, -1, 0
Let t(q) be the second derivative of -q**5/20 - q**4/2 - q**3/6 - 3*q**2 + 18*q. Let a be t(-6). Let -2/3*n + n**2 - 1/3*n**4 + 0*n**3 + a = 0. Calculate n.
-2, 0, 1
Let w(t) be the third derivative of -17*t**5/12 - 20*t**4/3 + 10*t**3/3 + 5*t**2 + 15*t. Solve w(h) = 0.
-2, 2/17
Let k(w) = -w**3 + 6*w**2 - w + 1. Let b(l) = -l - 1. Let o(x) = -b(x) + k(x). Let c be o(6). Factor 2 + 4*f**4 + 2*f**3 - 2*f + 0*f + 5*f**2 - 4*f**2 - 7*f**c.
2*(f - 1)*(f + 1)**2*(2*f - 1)
Let g(r) = -r**4 + r**2 - r - 1. Suppose 4*x - 12 = -8. Let t(p) = 4*p**4 + 2*p**3 - 2*p**2 + 6*p + 6. Let c(v) = x*t(v) + 6*g(v). What is h in c(h) = 0?
-1, 0, 2
Let y = -4 + -2. Let s be y/((-2)/(3 + -2)). Suppose -3*j**3 - j + s*j - 4*j**4 - 8 + 2*j + 12*j**2 - j**3 = 0. Calculate j.
-2, -1, 1
What is v in 50*v - 11*v**4 + 3/4*v**5 - 215/2*v**2 + 223/4*v**3 + 0 = 0?
0, 2/3, 4, 5
Suppose 2*n - 23*v - 7 = -24*v, 5*v = n + 2. Suppose -8/15*m**n + 0 - 22/15*m**2 + 2/5*m = 0. Calculate m.
-3, 0, 1/4
Find u such that -93/8*u + 139/4*u**2 + 3/8*u**3 + 0 = 0.
-93, 0, 1/3
Factor 3768*r**2 + 992/5 + 7472/5*r + 3220*r**3 + 100*r**4.
4*(r + 31)*(5*r + 2)**3/5
Factor -612/5*f**2 + 0 - 14/5*f**3 + 176/5*f.
-2*f*(f + 44)*(7*f - 2)/5
Let y(h) = h**3 - 2*h**2. Let f(c) = c**3 + 9*c**2 - 4*c. Let k(d) = f(d) - 6*y(d). Factor k(x).
-x*(x - 4)*(5*x - 1)
Let q(t) = -13*t**5 + 13*t**4 - 15*t**3 - 93*t**2 - 7*t. Let o(c) = 2*c**5 - c**4 - c**2 + c. Let z(b) = -35*o(b) - 5*q(b). Factor z(g).
-5*g**2*(g - 4)*(g + 5)**2
Let i(q) be the third derivative of q**6/20 + q**5/20 - 5*q**4/4 - 115*q**2. Find m such that i(m) = 0.
-5/2, 0, 2
Let s(t) be the first derivative of 0*t**3 + 0*t - 1/8*t**2 - 7 + 1/16*t**4. Factor s(r).
r*(r - 1)*(r + 1)/4
Let z(j) be the second derivative of -j**4/60 + 22*j**3/5 - 2178*j**2/5 + 362*j. Factor z(a).
-(a - 66)**2/5
Let s(a) = -a**3 + 2*a**2 - a - 65. Let k be s(0). Let l = k + 65. Solve -10*b**3 + l - 8/5*b + 8*b**2 = 0.
0, 2/5
Let i be -2*(-3)/2 - -2. Suppose 1 = i*v + 3*t, -4*t = -2*v - 2*v + 20. Determine a so that a + a - 8*a**v - a**3 - 5*a**3 + 4 = 0.
-1, 2/3
Let o = -1808/3 - -603. Let y(m) be the second derivative of -1/5*m**5 - 1/3*m**4 - 1/15*m**6 - 6*m - 1/5*m**2 - o*m**3 + 0 - 1/105*m**7. Factor y(l).
-2*(l + 1)**5/5
Let i be (-6)/14 - -3*(-477)/(-2457). Let -2/13*z**3 + 4/13*z**2 + 0 - i*z = 0. What is z?
0, 1
Factor -3/8 + 5/8*m + 1/4*m**2.
(m + 3)*(2*m - 1)/8
Let k = -40743 + 40745. Find z, given that 1/9*z**5 + 5/9*z**4 + 1/9*z - 2/9*z**3 - 10/9*z**k + 5/9 = 0.
-5, -1, 1
Suppose -11 = -4*w - c, 9*c = -2*w + 4*c + 1. Find p such that -42 - p**w + 42 + p**5 + p**4 - p**2 = 0.
-1, 0, 1
Let z = 27 - 105/4. Find q such that -1/4*q**2 + z*q - 1/2 = 0.
1, 2
Suppose -44 - 40 = -28*o. Suppose q = 3*m + 3, 2*m + o - 18 = -5*q. Factor 1/3*u**5 + 0*u - 1/3*u**4 + 0*u**3 + m*u**2 + 0.
u**4*(u - 1)/3
Let v(o) be the second derivative of 3*o**8/224 + 2*o**7/105 + o**6/180 + 9*o**2/2 + 39*o. Let k(u) be the first derivative of v(u). Factor k(b).
b**3*(3*b + 2)*(9*b + 2)/6
Let a(q) = -2*q. Let f be a(-1). Suppose 0 = 310*n - 307*n - 12. Find r, given that -2*r**3 - n*r - 4*r**f - 2*r**2 - 2*r**2 + 2*r**2 = 0.
-2, -1, 0
Let l(w) be the first derivative of 0*w - 7/2*w**4 - 9*w**2 - 10*w**3 - 2/5*w**5 + 30. Determine z so that l(z) = 0.
-3, -1, 0
Let m(g) be the third derivative of -g**5/120 - 31*g**4/12 - 961*g**3/3 + 33*g**2. Factor m(q).
-(q + 62)**2/2
Let o(p) be the second derivative of p**5/230 - 3*p**4/46 - 7*p**3/23 - 11*p**2/23 - 131*p. What is s in o(s) = 0?
-1, 11
Let p(q) be the first derivative of 8/9*q - 2/9*q**3 - 2/45*q**5 + 5/18*q**4 + 3 - 5/9*q**2. Determine o, given that p(o) = 0.
-1, 1, 4
Let k(z) be the second derivative of 5*z**7/63 - 116*z**6/45 + 23*z**5/30 + 309*z. Solve k(y) = 0 for y.
0, 1/5, 23
Let x(a) = -a**3 + a**2 - 7*a + 7. Let r(i) be the third derivative of i**6/120 - i**5/60 + i**4/4 - i**3 - 39*i**2. Let h(l) = 7*r(l) + 6*x(l). Factor h(y).
y**2*(y - 1)
Let h(v) be the first derivative of v**2 + 1/6*v**5 - 4 + 0*v + 0*v**3 + 1/6*v**4. Let j(q) be the second derivative of h(q). Factor j(p).
2*p*(5*p + 2)
Let n(z) be the first derivative of -z**9/756 + z**8/420 + 2*z**3/3 + 10. Let b(q) be the third derivative of n(q). Factor b(x).
-4*x**4*(x - 1)
Let h(r) be the second derivative of r**7/231 + r**6/165 - r**5/55 - r**4/33 + r**3/33 + r**2/11 + 160*r. Suppose h(b) = 0. Calculate b.
-1, 1
Let v = 1739 - 1737. Let z(u) be the second derivative of 1/7*u**2 + 0 + v*u - 1/42*u**3 - 1/84*u**4. Factor z(t).
-(t - 1)*(t + 2)/7
Suppose -b - 35 - 174 = -4*v, -3*b = v - 36. Let x = -51 + v. Solve 0*o**2 - 1/2*o**3 + x + 1/2*o**4 + 0*o = 0.
0, 1
Let j(a) be the first derivative of a**6/480 - a**4/32 - a**3/12 + 9*a**2/2 + 2. Let o(v) be the second derivative of j(v). Find d such that o(d) = 0.
-1, 2
Suppose 174 = 18*c + 40*c. Let a be (0 - 1 - 0)*-2. Factor -c - 15/2*t - 9/2*t**a.
-3*(t + 1)*(3*t + 2)/2
Let a(d) be the first derivative of 5*d**6/12 + 3*d**5/5 - d**4 - 5*d**3/3 + 3*d**2/4 + 2*d - 119. Suppose a(s) = 0. What is s?
-1, 4/5, 1
Let z be -8 - (-11 - (3 - (-13)/(-3))). Factor -z*c**2 + 20/3*c - 5.
-5*(c - 3)*(c - 1)/3
Let z(n) be the second derivative of 2*n**6/15 - 29*n**5/5 + 74*n**4 - 280*n**3/3 - 784*n**2 - 168*n. Let z(j) = 0. Calculate j.
-1, 2, 14
Factor 10/3*a**3 + 5*a - 25/3*a**2 + 0.
5*a*(a - 1)*(2*a - 3)/3
Let b(d) = -4*d**3 - 46*d**2 + 146*d - 196. Let i(s) = s**3 + 15*s**2 - 49*s + 65. Let r(h) = -2*b(h) - 7*i(h). Solve r(u) = 0.
3, 7
Let f(b) = 5*b**2 + 125*b + 4. Let c be f(-25). Let x(s) be the first derivative of -c*s**3 + 3*s**4 + 2*s**2 + 0*s - 4/5*s**5 + 9. Solve x(j) = 0.
0, 1
Factor 0 - 4/7*b**2 - 2/7*b**3 + 6/7*b.
-2*b*(b - 1)*(b + 3)/7
Let j(z) be the first derivative of -5*z**2 + 9 + 5*z + 25/16*z**4 - 5/24*z**6 + 5/12*z**3 - 1/4*z**5. Determine i, given that j(i) = 0.
-2, 1
Let s = 75 + -54. Let v(b) = 3*b**3 + 1 - 4*b - 3 + 2*b + 4*b. Let j(r) = 10*r**3 + r**