2/5*h**4 + 248/5*h**2 + 76/5*h**3 - 2/5*h**5 + 128/5 + 304/5*h = 0.
-2, -1, 8
Solve 46*l + 1941 - 1913 + 2*l**2 - 16*l = 0 for l.
-14, -1
Let t(d) = -6*d**2 + 2*d - 12. Let a(u) = -u**2 + u - 2. Let j(g) = -5*a(g) + t(g). Solve j(o) = 0 for o.
-2, -1
Let s = -101/15 + 119/15. Factor 0 - 2/5*n + s*n**2.
2*n*(3*n - 1)/5
Let j = 6 + -18. Let x = j - -14. Factor -5*d**3 + 4*d**2 + x*d**5 - 2 - 2*d**4 - 4*d**3 + 2*d + 5*d**3.
2*(d - 1)**3*(d + 1)**2
Let w(r) be the second derivative of r**7/21 - 8*r**6/15 + 13*r**5/10 + 13*r**4/3 - 64*r**3/3 + 32*r**2 + 2*r - 2. What is o in w(o) = 0?
-2, 1, 4
Let x(z) = 18*z**3 + 182*z**2 + 204*z + 36. Let q(j) = -54*j**3 - 545*j**2 - 613*j - 108. Let i(n) = -4*q(n) - 14*x(n). Factor i(t).
-4*(t + 1)*(t + 9)*(9*t + 2)
Let m(y) be the second derivative of 11*y + 3*y**2 - 1/2*y**3 - 1/4*y**4 + 0. Find l such that m(l) = 0.
-2, 1
Let i(y) = 3*y**3 - 9*y**2 + 3*y + 7. Let t(u) = 16*u**3 - 46*u**2 + 17*u + 35. Let p(m) = 11*i(m) - 2*t(m). Factor p(f).
(f - 7)*(f - 1)*(f + 1)
Let h be (-6 - -13) + (-17 - -12). Factor -3/4*m - 1/4*m**3 - 3/4*m**h - 1/4.
-(m + 1)**3/4
Let o(y) be the first derivative of 3*y**4/8 + 20*y**3/3 + 11*y**2/4 - 13*y - 43. Determine z, given that o(z) = 0.
-13, -1, 2/3
Let n = 34 - 31. Factor -2*p**3 + 2*p**3 - 3*p - n*p**3 - 6*p**2.
-3*p*(p + 1)**2
Let y(j) be the first derivative of -1/10*j**5 + 1/3*j**3 + 2*j - 1/15*j**6 - 4 + 1/6*j**4 + 0*j**2. Let h(c) be the first derivative of y(c). Factor h(x).
-2*x*(x - 1)*(x + 1)**2
Let q(p) = -p**3 - 34*p**2 + 35*p - 5. Let l(r) = 3*r**3 + 120*r**2 - 123*r + 18. Let m(t) = -5*l(t) - 18*q(t). Factor m(f).
3*f*(f - 1)*(f + 5)
Let v = 88244/397179 - -2/44131. Factor 0*k**3 - v*k + 1/9*k**4 + 0 - 1/3*k**2.
k*(k - 2)*(k + 1)**2/9
Let r be 2*(-1 - 5*-1). Let x(z) = z**3 - 9*z**2 + 2*z + 50. Let a be x(8). Factor -4 + 2 - 2*f**a - r*f - 6.
-2*(f + 2)**2
Let f(w) = w**3 + 1. Let b = -41 + 42. Let c be f(b). What is j in -2/5*j**3 - 4/5 + 2/5*j + 4/5*j**c = 0?
-1, 1, 2
Factor -5*g**5 - 9*g**4 - 3*g**4 + 7*g**4 + 8*g**3 - 3*g**3 + 5*g**2.
-5*g**2*(g - 1)*(g + 1)**2
Let k be 3/(-4)*(-104)/(-5187). Let m = 1070/399 + k. Suppose -4/3*v**4 + 4/3*v**2 - 4*v**3 + m*v + 4/3*v**5 + 0 = 0. What is v?
-1, 0, 1, 2
Let b = 67 - 62. Suppose 27 = -b*h + 37. Solve 2/13*z**h + 6/13*z + 4/13 = 0.
-2, -1
Let x be 8/(-24)*(-5 - (1 + 0)). Let y(d) be the second derivative of 0*d**x + 1/3*d**3 - 1/20*d**5 + 1/12*d**4 + 0 + 3*d. Suppose y(r) = 0. What is r?
-1, 0, 2
Let l(n) be the second derivative of -1/78*n**4 + 1/39*n**3 + 2/13*n**2 + 34*n + 0. Factor l(s).
-2*(s - 2)*(s + 1)/13
Let a(w) = 10*w + 22. Let h be a(-2). Factor 4*f**h + 5*f**3 - 2117*f + f**2 + 2107*f.
5*f*(f - 1)*(f + 2)
Let h(c) be the second derivative of c**5/16 + 5*c**4/3 - 65*c**3/8 - 135*c**2/4 + 42*c. Factor h(m).
5*(m - 3)*(m + 1)*(m + 18)/4
Let o(d) = 3*d - 4. Let x = 27 + -25. Let k be o(x). Factor 3*i**2 + 93*i - 89*i + i**k.
4*i*(i + 1)
Let g(m) = -m**3 - m**2 + m + 1. Suppose -192 = -10*p + 58. Let t(r) = 30*r**3 + 95*r**2 + 220*r - 25. Let h(x) = p*g(x) + t(x). Factor h(i).
5*i*(i + 7)**2
Let x(s) be the second derivative of 1/20*s**6 + 0 + 3/20*s**5 + 12*s + 3/4*s**2 - 1/4*s**4 - 1/28*s**7 - 1/4*s**3. Find u such that x(u) = 0.
-1, 1
Let v = -16 + -20. Let o be (-5)/20 - ((-3)/v + -1). Determine g, given that 0*g + 0 + o*g**2 = 0.
0
Let r(n) be the second derivative of -n**6/24 + 3*n**5/40 + n**4/4 + 3*n**3 - 6*n. Let m(f) be the second derivative of r(f). Let m(t) = 0. Calculate t.
-2/5, 1
Let u(f) be the second derivative of -f**7/35 - 8*f**6/75 + f**5/10 + f**4 + 28*f**3/15 + 8*f**2/5 + 128*f - 2. Find m, given that u(m) = 0.
-2, -1, -2/3, 2
Let g(s) be the first derivative of 0*s + 0*s**2 + 1/2*s**4 + 4/3*s**3 + 3. Determine f so that g(f) = 0.
-2, 0
Suppose 5*t = -z + 17, 2*z - 6*z + 5*t - 7 = 0. Let c be 1056/77 + 4/14. Factor -c*s**3 + 1 + 6 + 4*s - 7 + 10*s**z.
-2*s*(s - 1)*(7*s + 2)
Let c = 7/24 + -59/216. Let x(w) be the second derivative of 4*w + 0 - 2/27*w**3 + 1/3*w**2 - c*w**4. Suppose x(b) = 0. What is b?
-3, 1
Suppose a = -0*d - 2*d - 1360, -1380 = 2*d - 4*a. Let g = d - -3424/5. Factor -g*z**2 + 4/5 + 2*z.
-2*(z - 1)*(7*z + 2)/5
Let w(s) be the first derivative of 0*s - 2*s + 4*s + 3*s**2 + s**3 + s + 26. Suppose w(q) = 0. Calculate q.
-1
Suppose 33 = 2651*l - 2640*l. Let g = 0 + 0. Determine c, given that 6/5*c**2 + g + 0*c + 3/5*c**l = 0.
-2, 0
Let l = 8273/7 - 1179. Let c = l + 52/21. Factor 14/3*r + c*r**2 + 4/3 + 2*r**3.
2*(r + 1)**2*(3*r + 2)/3
Let z = -67 + 67. Let n(f) be the second derivative of -1/84*f**7 - 1/60*f**6 + 0*f**3 + 1/24*f**4 + z + 0*f**2 + 1/40*f**5 - 3*f. Factor n(m).
-m**2*(m - 1)*(m + 1)**2/2
Suppose 0 = -46*j + 24*j + 66. Let r(n) be the first derivative of -9*n**4 + 1 - 8*n - 80/3*n**j - 26*n**2. What is m in r(m) = 0?
-1, -2/9
Suppose -4*s = 2*y + s - 33, -3*s = -4*y + 1. What is o in -9*o + 5*o + o**2 - o**3 + y*o = 0?
0, 1
Factor 130*j + 3*j**2 + 500*j + 20710 + 12365.
3*(j + 105)**2
Let w(z) be the first derivative of 0*z + 2/3*z**3 + 0*z**2 + 1/4*z**4 - 1 - 2/5*z**5 - 1/6*z**6. Factor w(x).
-x**2*(x - 1)*(x + 1)*(x + 2)
Let l(n) be the first derivative of -n**6/6 + 9*n**5/5 + n**4/2 - 6*n**3 - n**2/2 + 9*n + 60. Factor l(s).
-(s - 9)*(s - 1)**2*(s + 1)**2
Let v(q) be the first derivative of -5*q**3/3 - 25*q**2/2 - 217. Let v(a) = 0. What is a?
-5, 0
Suppose z + 4*h - 15 = 0, z + z = 4*h - 6. Suppose -4*p = 2 - 26. Solve 0*k**z + p*k**3 + 11 - 9*k**2 - 12*k + 3*k**4 + 1 = 0 for k.
-2, 1
Let x(g) be the second derivative of g**7/560 - g**6/80 + 3*g**5/80 - g**4/16 - g**3/6 + g. Let t(m) be the second derivative of x(m). Factor t(k).
3*(k - 1)**3/2
Suppose 16*w = 19*w. Let h(r) be the first derivative of w*r + 0*r**3 + 2 + 0*r**2 - 3/28*r**4. Let h(c) = 0. What is c?
0
Let z = -1415 + 1420. Let d(p) be the second derivative of 0*p**3 + 0*p**2 + 0 + 4*p + 1/5*p**z + 2/3*p**4. Suppose d(q) = 0. What is q?
-2, 0
Let b(g) be the second derivative of -g**7/630 - g**6/45 - 2*g**5/15 - 5*g**4/4 - 11*g. Let n(h) be the third derivative of b(h). Solve n(p) = 0 for p.
-2
Let 166/13*z**2 + 224/13*z - 34/13*z**3 + 24/13 = 0. What is z?
-1, -2/17, 6
Determine a, given that 37/5*a - 6/5*a**3 - a**4 + 3 + 22/5*a**2 + 1/5*a**5 = 0.
-1, 3, 5
Solve -4*y**3 - 20 - 113*y**2 + 9*y + 24*y + 101*y**2 + 3*y = 0.
-5, 1
Let v(a) be the second derivative of -3*a**5 - 2/3*a**6 + 0 - 5/2*a**2 - 65/12*a**4 + 20*a - 5*a**3. What is x in v(x) = 0?
-1, -1/2
Suppose -24/5 - 2*d**2 + 1/5*d**3 + 28/5*d = 0. What is d?
2, 6
Suppose 0 = 3*p - 0 - 9. Let t be ((2 - p) + 3)*1. Factor 5*o**4 + 3*o**5 + 2*o**4 + t*o**4.
3*o**4*(o + 3)
Let k(w) be the first derivative of w**4/12 - w**3/2 - 2*w**2 - 16*w - 3. Let p(a) be the first derivative of k(a). Factor p(h).
(h - 4)*(h + 1)
Suppose 3*u + 6 = -4*r - 4, 0 = 3*r + 12. Suppose 7 = b + u. Determine g, given that -4/7*g**2 + 0*g - 8/7*g**4 + 10/7*g**3 + 2/7*g**b + 0 = 0.
0, 1, 2
Suppose -4*v - 20 = -j - 3*j, -2*j = 5*v - 3. Let a be 42/j + 21/14. Let -a + 0*d - 4*d**4 - 2*d**3 + 2*d + 6*d**2 + 10 = 0. What is d?
-1, 1/2, 1
Let y(b) be the second derivative of -b**6/270 + b**5/45 - b**4/36 - 2*b**3/27 + 2*b**2/9 + 51*b. Factor y(i).
-(i - 2)**2*(i - 1)*(i + 1)/9
Let a(z) be the second derivative of -z**7/168 - z**6/20 - 3*z**5/20 - 5*z**4/24 - z**3/8 - 40*z. Find b, given that a(b) = 0.
-3, -1, 0
Factor -37 + 3 + 4*r**3 + 10 - 28*r.
4*(r - 3)*(r + 1)*(r + 2)
Let h(y) be the first derivative of -2/3*y**2 - 2 - 1/9*y**3 - 4/3*y. What is u in h(u) = 0?
-2
Let f be 11 + (6 - 7) - 5. Factor 0 + 0*c**3 + 2/5*c**2 - 1/5*c + 1/5*c**f - 2/5*c**4.
c*(c - 1)**3*(c + 1)/5
Determine v so that 1860*v**3 + 4*v**5 - 1872*v**3 - 72*v**2 + 7*v**4 + 9*v**4 = 0.
-3, 0, 2
Let z(b) = b**2 + 1. Let k(o) = -2*o**2 + 40*o + 196. Let r(q) = k(q) + 4*z(q). Find t such that r(t) = 0.
-10
Suppose -4*y = -3 - 21. Suppose y*t - 45 = t. Solve -8*s - s - t*s - 16*s**2 - 6 + 4 = 0 for s.
-1, -1/8
Let x be (0 - 4/6) + 198/240. Let m = 1/24 + x. Factor m*h**3 + 1/5*h**2 + 0*h + 0.
h**2*(h + 1)/5
Let a(n) be the second derivative of 0*n**2 - 4/35*n**5 + 1/21*n**4 + 13*n + 0 + 4/21*n**3 - 2/35*n**6. Suppose a(f) = 0. Calculate f.
-1, 0, 2/3
Let l(a) be the second derivative of a**5/3