 Let -w*h**5 - h**3 + 3*h + 18*h**5 - h**2 + h**4 - 3*h = 0. What is h?
-1, 0, 1
Let g = -99 + 107. Let b(f) be the third derivative of 0 + f**3 + 5/8*f**4 - 1/112*f**g + 9*f**2 - 2/35*f**7 + 0*f + 1/10*f**5 - 1/10*f**6. Solve b(j) = 0.
-2, -1, 1
Let g be -1*(-7 - -5)*(-2)/4. Let r = g - -4. Find j such that 1/2*j**r - 1/2*j**2 + 0 + 0*j = 0.
0, 1
Let j be (-8)/(-21)*15/(-4). Let a = 55/14 + j. Factor 5*m**2 + 5*m**3 + 1/2*m**5 + 1/2 + a*m + 5/2*m**4.
(m + 1)**5/2
Factor 58*z**2 + 4*z**4 + 16*z**3 - 14*z**2 - 32*z**2.
4*z**2*(z + 1)*(z + 3)
Let h(n) be the third derivative of n**5/240 + 7*n**4/24 + 49*n**3/6 + 299*n**2. Determine u, given that h(u) = 0.
-14
Let t = 21 - 7. Suppose y - t = -10. Factor -s**2 + 2/5*s + 0 - 1/5*s**y + 4/5*s**3.
-s*(s - 2)*(s - 1)**2/5
Factor 130/21*h**2 + 2/21*h**3 + 2048/21 + 2176/21*h.
2*(h + 1)*(h + 32)**2/21
Let q(l) be the second derivative of l**6/540 + l**5/90 + l**3/2 - 8*l. Let h(s) be the second derivative of q(s). Determine i, given that h(i) = 0.
-2, 0
Let v be (3/5)/(3/75). Let n = -12 + v. Suppose -6*w + 4*w**n - w**3 - 6*w**2 - 3*w = 0. Calculate w.
-1, 0, 3
Let 2*g + 618*g**4 - 4*g + 3*g**2 + g**3 + g**5 - 621*g**4 = 0. Calculate g.
-1, 0, 1, 2
Factor -35/3*u + 25/3 - 1/3*u**3 + 11/3*u**2.
-(u - 5)**2*(u - 1)/3
Let k(v) be the second derivative of -1/21*v**7 - 2/3*v**3 + 7/6*v**4 - 9/10*v**5 + 0*v**2 + 1/3*v**6 + 0 - 3*v. Factor k(j).
-2*j*(j - 2)*(j - 1)**3
Let x(p) be the second derivative of p**4/36 + 4*p**3/9 + 99*p. Determine a so that x(a) = 0.
-8, 0
Let n = -15 + 20. Suppose -1 = -b - 4*h, -3*b + n*h = -16 - 4. Factor -3*g**2 - 1 - b + 6*g + 3.
-3*(g - 1)**2
Let w(z) = -z - 8. Let x be w(-14). Suppose 7*b**5 + 8*b**4 - x*b + 2*b - 3*b**5 - 8*b**2 = 0. What is b?
-1, 0, 1
Let h be 5 - (-7 + 270/25). Let f(i) be the first derivative of 0*i**4 - 3/2*i**2 + 6 - 2*i**3 + h*i**5 + 0*i + 1/2*i**6. What is n in f(n) = 0?
-1, 0, 1
Let k(m) be the first derivative of -10 + 0*m - 3/2*m**3 - 1/2*m**2. Factor k(w).
-w*(9*w + 2)/2
Let f be (-11)/(77/6)*(-2)/6. Factor -8/7*p - f*p**2 - 8/7.
-2*(p + 2)**2/7
Let b be (1/3*0/(-3))/(-1). Let f(c) be the third derivative of -1/4*c**4 + 0*c + 4*c**2 + b + 0*c**3 - 1/20*c**5. Factor f(j).
-3*j*(j + 2)
Let p(s) = s**2 + 6*s + 2. Let i(g) = 4*g - 14. Let k be i(2). Let z be p(k). Factor -2/9*w**z - 4/9 - 2/3*w.
-2*(w + 1)*(w + 2)/9
Let t be (-2 - -22) + 0 + 4. Factor -10*n - t*n**2 + 15*n**3 + 10*n**4 - 16 + 9*n**2 + 16.
5*n*(n - 1)*(n + 2)*(2*n + 1)
Factor -1/6*p**4 + 5/6*p**3 - 1/3 - 3/2*p**2 + 7/6*p.
-(p - 2)*(p - 1)**3/6
Let s(m) be the second derivative of m**5/4 + 475*m**4/12 + 1840*m**3 - 5760*m**2 - m + 27. Factor s(g).
5*(g - 1)*(g + 48)**2
Let l(g) be the third derivative of g**6/120 - 7*g**5/60 + 2*g**4/3 - 2*g**3 - 2*g**2 + 179. Factor l(m).
(m - 3)*(m - 2)**2
Suppose 0 = -4*s + 5*m + 50, -4*s - s = 3*m - 44. Suppose s = -3*u + 8*u. What is j in 8 - 24 + u*j**2 - 6*j**2 + 16*j = 0?
2
Let h be 1/3 - 4/(-6) - -2. Let q(g) = g. Let a be q(h). Factor -1/5*x - 2/5*x**2 + 1/5*x**a + 2/5.
(x - 2)*(x - 1)*(x + 1)/5
Let g(c) be the first derivative of -c**3/3 + 2*c**2 - 2*c + 3. Let m = -8 - 7. Let r(h) = -2*h**2 + 9*h - 5. Let u(z) = m*g(z) + 6*r(z). Factor u(d).
3*d*(d - 2)
Suppose -68*m + 276 = -170 - 574. Factor m*b + 75/2 + 3/2*b**2.
3*(b + 5)**2/2
Suppose -20*v = -33*v - 4459. Let s = -343 - v. Solve s*n**3 - 3/4*n**2 + 0 + 1/4*n**4 + 1/2*n = 0 for n.
-2, 0, 1
Let l(w) = -w**3 + 10*w**2 - 3*w - 13. Let j be l(10). Let s = j + 45. Factor -16/5*u - 12/5 - 4/5*u**s.
-4*(u + 1)*(u + 3)/5
Let v = 6/281 + 532/1405. Factor -v*o + 0 + 2/5*o**2.
2*o*(o - 1)/5
Let d(i) = -i**3 - 3*i**2 - 45*i - 192. Let b be d(-4). Suppose 5/3*z**b - 10/3*z**3 + 10/3*z**2 + 1/3 - 1/3*z**5 - 5/3*z = 0. What is z?
1
Let b(v) = -2*v + 29. Let d be b(-21). Suppose d*n - 68*n = 9. Determine r, given that 0 - 1/2*r**n + 0*r**2 - 3/2*r**4 + 2*r**5 + 0*r = 0.
-1/4, 0, 1
Factor 2/5*y - 3/5*y**2 + 0 + 1/5*y**3.
y*(y - 2)*(y - 1)/5
Suppose 2*d**3 + 3*d**5 + 85*d + 1 + 2*d**2 - 2*d**5 - 3*d**4 - 41*d - 47*d = 0. Calculate d.
-1, 1
Suppose -2 = -14*t + 13*t. Let 18*c - 8*c + 24 - 24 + 2*c**t = 0. What is c?
-5, 0
Find p, given that 2*p**2 - 682035 + 984*p + 2*p**2 + 742551 = 0.
-123
Suppose 0*l - 4*l = 0. Let x(o) = 2*o + 3. Let u be x(l). Factor s**u - 3*s**3 + 2*s**2 - 8 + s**3 + 4*s.
-(s - 2)**2*(s + 2)
Determine w, given that -5*w**4 + 32/3*w + 4/3 + 11/3*w**2 - 32/3*w**3 = 0.
-2, -1, -2/15, 1
Suppose 14*i = 18*i + 216. Let r be (6/i)/(2/(-6)). Determine v, given that 0 - 1/3*v**2 + r*v = 0.
0, 1
Factor 42*q - 67 + 5170*q**2 - 2588*q**2 - 2580*q**2 - 2*q**3 - 23.
-2*(q - 3)**2*(q + 5)
Let t(g) = -6*g**3 - 20*g**2 - 21*g + 5. Let l(a) = -7*a**3 - 21*a**2 - 22*a + 4. Let h(o) = 3*l(o) - 4*t(o). Determine p, given that h(p) = 0.
-4, -2, 1/3
Let c = 1451 - 1451. Factor 1/2*p**2 + 0*p**3 - 1/2*p**4 - 1/4*p**5 + 1/4*p + c.
-p*(p - 1)*(p + 1)**3/4
Let z(v) = -2*v + 30. Let d be z(14). Factor f**3 + d*f**3 - 6*f - f**3 - 4.
2*(f - 2)*(f + 1)**2
Let q(g) be the first derivative of 5*g**3 + 35*g**2 + 40*g + 159. Solve q(j) = 0.
-4, -2/3
Suppose -3*f + 5*t + 4 = 0, -5*t + 2 = -f - 0*t. Let k(g) be the second derivative of 0*g**5 + 3/10*g**2 + g + 1/50*g**6 - 1/10*g**4 + 0 + 0*g**f. Factor k(y).
3*(y - 1)**2*(y + 1)**2/5
Let s(h) be the third derivative of h**6/60 + 7*h**5/6 + 323*h**4/12 + 289*h**3/3 - 32*h**2. Solve s(o) = 0.
-17, -1
Let y(u) be the second derivative of -u**5/10 - u**4/6 + 2*u**3/3 + 386*u. Factor y(f).
-2*f*(f - 1)*(f + 2)
Let p(n) = -6*n**2 - 8 + 5*n - 8*n - 17*n - 8*n**2. Let o(a) = a**3 - 15*a**2 - 21*a - 8. Let b(t) = 2*o(t) - 3*p(t). Solve b(g) = 0.
-4, -1
Let x be 7/(-3) + (-8)/(-24). Let t be -5 - 8/x - -3. Determine u, given that -19*u - 14*u + 32 - 15*u + 14*u**t - 2*u**3 + 4*u**2 = 0.
1, 4
Suppose -11*h + 27 = -6. Let m(x) be the second derivative of 2*x - 2*x**4 + h*x**2 - 1/2*x**3 + 0 - 3/4*x**5. Factor m(b).
-3*(b + 1)**2*(5*b - 2)
Let c(x) = 60*x - 236. Let h be c(4). Let t = -21 + 24. Suppose z**h - z**2 + 1/3*z**t + 1/3*z**5 + 0 - 2/3*z = 0. What is z?
-2, -1, 0, 1
Let v = 440 + -697. Let t = v + 1802/7. Factor t*a + 0 - 3/7*a**2.
-3*a*(a - 1)/7
Let o(z) be the second derivative of z**5/80 - 37*z**4/24 + 145*z**3/24 - 9*z**2 + 4*z - 50. Factor o(u).
(u - 72)*(u - 1)**2/4
Let p(h) be the second derivative of h**8/420 + h**7/90 + h**6/90 - h**5/30 - h**4/2 + 2*h. Let o(d) be the third derivative of p(d). Factor o(j).
4*(j + 1)**2*(4*j - 1)
Let v = -620 - -624. Let m(x) be the second derivative of -1/5*x**3 + 51/100*x**5 - 2/5*x**6 + 0*x**2 + 0 + 1/4*x**v - 8*x. Find s such that m(s) = 0.
-2/5, 0, 1/4, 1
Let x = 471 + -471. Solve -6/7*j**3 + x - 3/7*j**2 + 3/7*j**4 + 6/7*j = 0.
-1, 0, 1, 2
Let g be (((-108)/(-33))/(-3))/(72/(-396)). Solve 6 - g*o**3 + 6*o - 3/2*o**4 - 9/2*o**2 = 0.
-2, -1, 1
Let x(g) be the second derivative of -g**4/4 - g**3/6 + g**2 + 80*g. Factor x(m).
-(m + 1)*(3*m - 2)
Let c be (-4)/(-6) + 1015/(-105). Let u be (-2 - c)*(-5 - 148/(-28)). Find d such that -2/3*d**u - 4/3 + 2*d = 0.
1, 2
Let c = -99472/7 + 14212. Determine i so that 4/7*i**3 + 0 - c*i**2 + 0*i = 0.
0, 3
Let s(f) be the first derivative of 2*f**5/35 + f**4/2 + 16*f**3/21 - 16*f**2/7 + 617. Factor s(z).
2*z*(z - 1)*(z + 4)**2/7
Suppose 8*t + 21 = 53. Solve t*y**4 + 138*y**5 - 2*y**3 + 0*y**3 - 140*y**5 = 0 for y.
0, 1
Find o, given that 24/7*o - 3*o**2 - 3/7*o**3 + 0 = 0.
-8, 0, 1
Let v(m) be the third derivative of 0*m**3 + 1/20*m**5 + 0*m**4 + 0*m + 0 - 16*m**2. What is c in v(c) = 0?
0
Let d(t) = t**2 + 34*t + 276. Let k be d(-21). Let g(c) be the first derivative of -1/2*c**4 + 0*c**2 - 1/3*c**6 + 0*c**k + 0*c + 4/5*c**5 + 4. Factor g(p).
-2*p**3*(p - 1)**2
Let h(k) be the third derivative of -k**5/140 + 3*k**4/7 - 72*k**3/7 - 29*k**2. What is d in h(d) = 0?
12
Suppose 48 = 14*y - 10*y. What is l in y*l**2 - l**3 - 15*l - 3*l**3 + 6 + 8*l**3 - 7*l**3 = 0?
1, 2
Let b(z) = -z**2 - 13*z + 4. Let d(l) = 6*l - 2. Let h(y) = -24*y + 8. Let k(c) = 9*d(c) + 2*h(c). Let r(i) = 2*b(i) + 5*k(i). Factor r(q).
-2*(q - 1)**2
Let z(k) be the first derivative of k**4/5 + 68*k**3/15 + 112*k**2/5 + 208*k/5 - 221. Factor z(w).
4*(w + 2)**2*(w + 13)/5
Factor 1/4*s**3 + 3*s + 3/2*s**2 + 2.
(s + 2)*