 10 = 0, 0 = -2*x + 5*t + 16. Solve -8*w**2 + 2*w - 2*w + 677*w**x - 681*w**3 = 0.
-2, 0
Let b(w) be the second derivative of 1 - 1/6*w**4 + 38*w - 21*w**2 + 22/3*w**3. Factor b(k).
-2*(k - 21)*(k - 1)
Let o(w) be the first derivative of -w**6/6 - 11*w**5/12 + 5*w**4/8 + w**2/2 - 26*w - 70. Let d(x) be the second derivative of o(x). Solve d(m) = 0 for m.
-3, 0, 1/4
Let s(z) be the second derivative of -11*z**4 - 7/12*z**5 - 1/90*z**6 - 72*z**3 + 103*z + 288*z**2 + 0. Factor s(c).
-(c - 1)*(c + 12)**3/3
Let o(f) = 2*f**2 - 12*f + 2. Let p be o(6). Suppose -p*c + 25 = 3*c. Factor 0*u**4 + 161 - 166 + 5*u**4 + 15*u**4 + 45*u**2 - 55*u**3 - c*u.
5*(u - 1)**3*(4*u + 1)
Let r(x) be the third derivative of x**9/20160 + x**8/2240 + x**7/840 + x**5/10 - x**4/8 - 2*x**2 + 14*x. Let n(f) be the third derivative of r(f). Factor n(a).
3*a*(a + 1)*(a + 2)
Let d(u) be the third derivative of 0*u**3 + 0*u + 0 + 19/56*u**4 + 1/140*u**5 + 70*u**2. Let d(o) = 0. Calculate o.
-19, 0
Let w(r) be the first derivative of -4*r**5 - 211*r**4/2 - 3528*r**3/5 + 2916*r**2/5 + 2515. Factor w(f).
-2*f*(2*f - 1)*(5*f + 54)**2/5
Suppose -2*g**2 + 68*g - 58808*g**4 - 52*g**3 - 16*g**3 + 58810*g**4 = 0. Calculate g.
-1, 0, 1, 34
Suppose -3*t - 5049*h + 5053*h - 22 = 0, 5*h - 27 = 4*t. Let m be 1 - -3*(-1)/4. Suppose -u + 3/4 + m*u**t = 0. Calculate u.
1, 3
Let b(d) be the first derivative of d**6/48 + 3*d**5/40 - 25*d**4/32 + 25*d**3/24 + 3*d**2/2 - 7*d/2 + 1712. Find r, given that b(r) = 0.
-7, -1, 1, 2
Let r(i) be the first derivative of -4*i**5/5 - 7*i**4 - 8*i**3 + 278. Solve r(g) = 0 for g.
-6, -1, 0
Suppose h + 3*h - 23 = -3*g, -2*g + 6 = -2*h. Factor 7*k**4 - k**5 - k**h + 6*k**5 + 26*k**2 + 55*k**3 + 28*k**4.
5*k**2*(k + 1)**2*(k + 5)
Suppose 134*i - 514 = -246. Suppose -1/2*r + 1/4*r**i - 2 = 0. Calculate r.
-2, 4
Let h(u) be the second derivative of u**8/26880 - u**7/1680 + u**6/576 + u**5/40 - 31*u**4/12 - 44*u. Let s(a) be the third derivative of h(a). Factor s(p).
(p - 4)*(p - 3)*(p + 1)/4
Let r(f) be the first derivative of f**5/20 - f**4/3 + f**3/6 + 3*f**2 + 39*f + 69. Let t(a) be the first derivative of r(a). Determine w, given that t(w) = 0.
-1, 2, 3
Suppose 61 - 538 + 35572*y**2 + 98*y - 39 - 35574*y**2 = 0. What is y?
6, 43
Solve 2*g**2 - 4*g**2 + 3*g**2 - 23*g + 75*g - 108 = 0.
-54, 2
Let q(f) be the first derivative of -f**6/39 - 22*f**5/65 - 12*f**4/13 - 4419. Solve q(g) = 0.
-8, -3, 0
Factor -265230*p**3 - 36*p + 265227*p**3 + 48*p**2 + 31*p - 180 - 124*p.
-3*(p - 12)*(p - 5)*(p + 1)
Factor 136/3 + 62/9*b - 1/9*b**2.
-(b - 68)*(b + 6)/9
Find g, given that -200/9*g**2 + 0 - 16/9*g**4 - 38/3*g**3 + 2/9*g**5 - 104/9*g = 0.
-2, -1, 0, 13
Let j(y) = -y**3 - 46*y**2 - 63*y + 262. Let v(h) = 6*h**3 + 231*h**2 + 315*h - 1308. Let x(a) = 21*j(a) + 4*v(a). Factor x(c).
3*(c - 15)*(c - 2)*(c + 3)
Let v = 148 - 148. Let d(i) be the third derivative of -1/12*i**4 - 4/9*i**3 + 0*i - 11*i**2 + 1/90*i**5 + v. Factor d(o).
2*(o - 4)*(o + 1)/3
Let c(t) = -9*t**2 + 6426*t - 12984. Let p(x) = 4*x**2 - 2570*x + 5194. Let r(o) = 5*c(o) + 12*p(o). Determine s, given that r(s) = 0.
-432, 2
Let u(i) = i + 26. Let z be u(-11). Suppose 4*p = z - 3. Factor b + 0 - 1/2*b**4 + 1/2*b**2 - b**p.
-b*(b - 1)*(b + 1)*(b + 2)/2
Factor -8 + 10/3*h**2 - 16/3*h + 2/3*h**3.
2*(h - 2)*(h + 1)*(h + 6)/3
Let i(o) be the first derivative of 2*o**6/3 - 32*o**5/5 + 6*o**4 + 32*o**3/3 - 14*o**2 + 1733. Find f, given that i(f) = 0.
-1, 0, 1, 7
Suppose h + 2*w + 3537 = 3551, -2*h = 2*w - 16. Solve 128/3*b - 224/3*b**h + 22*b**3 + 0 + 28/3*b**4 + 2/3*b**5 = 0 for b.
-8, 0, 1
Determine w, given that 74*w + 185*w + 53707*w**2 - 514 - 53708*w**2 = 0.
2, 257
Let b(a) be the second derivative of -5*a**4/6 + 191*a**3/3 + 156*a**2 - 43*a - 23. Solve b(i) = 0 for i.
-4/5, 39
Let v be (-2480)/(-25)*(-6 - (-119)/14). Determine k so that -11*k**3 - 276*k - 2 + 552*k - v*k + 26 - 6*k**2 + k**5 = 0.
-2, -1, 2, 3
Let i(w) = -w + 17. Let k be i(21). Let z(p) = p**4 - p**3 + p**2 + p. Let v(q) = 6*q**4 + 6*q**2 + 4*q. Let l(x) = k*z(x) + v(x). Factor l(c).
2*c**2*(c + 1)**2
Let 149*z**3 + 18*z**5 + 147*z**3 + 141*z**3 + 26*z**4 + 151*z**3 - 580*z**3 = 0. Calculate z.
-1, -4/9, 0
Let y(x) be the third derivative of 1/1344*x**8 + 0*x - x**2 - 1/105*x**7 + 1/40*x**6 + 1/120*x**5 + 1/4*x**3 - 13/96*x**4 + 8. What is a in y(a) = 0?
-1, 1, 6
Let q be 2/8*2 + (-9 - 0)/54. Let i(t) be the second derivative of -27*t - q*t**3 + 1/2*t**4 - 3*t**2 + 1/10*t**5 + 0. Solve i(c) = 0 for c.
-3, -1, 1
Let q = 312 - 312. Suppose q = -4*i + 56 - 40. Suppose -52/5*h**2 + 147/5*h**5 - 58/5*h**3 + 0 - 8/5*h + 133/5*h**i = 0. Calculate h.
-1, -2/7, 0, 2/3
Let z = -25041/8 - -25215/8. Factor -3/4*h**4 - z*h + 81/4*h**2 - 21/4*h**3 + 15/2.
-3*(h - 1)**3*(h + 10)/4
Let q(m) = 2*m**2 + 3*m - 5. Let z be q(-4). Let y = z + -13. Determine x so that 3*x - 3*x + x - x**4 + x - 2*x**3 + x**y = 0.
-2, -1, 0, 1
Suppose -46*l = -119*l + 219. Factor 16/3 - 2/3*b**l - 8*b + 4*b**2.
-2*(b - 2)**3/3
Let 4222*f**3 + 442*f - 4224*f**3 + 34*f**2 - 110*f**2 + 516 = 0. What is f?
-43, -1, 6
Let o(c) be the third derivative of c**8/10080 + c**7/504 - c**6/60 - 77*c**5/30 + 98*c**2. Let n(y) be the third derivative of o(y). Factor n(v).
2*(v - 1)*(v + 6)
Let c(k) be the third derivative of -k**7/168 + k**6/16 + 5*k**5/16 - 125*k**4/24 + 14*k**2 - 4*k. Factor c(q).
-5*q*(q - 5)**2*(q + 4)/4
Let k(p) = 2*p**2 + 3*p - 391. Let n be k(-18). Suppose -n = -53*m - 44. Factor -v**m + 1/3*v**4 + 2/3*v**2 + 0*v + 0.
v**2*(v - 2)*(v - 1)/3
Let n(y) be the first derivative of y**4/42 - 1112*y**3/63 + 77837*y**2/21 - 306916*y/21 + 11536. Factor n(o).
2*(o - 277)**2*(o - 2)/21
Let l(h) be the second derivative of h**5/40 + 35*h**4/8 - 161*h**3/6 + 54*h**2 - 4123*h. Let l(f) = 0. What is f?
-108, 1, 2
What is a in -289 + 1/4*a**3 + 153/4*a + 15/2*a**2 = 0?
-17, 4
Let z(v) = 4*v**5 + 30*v**4 + 140*v**3 + 160*v**2 + 100*v + 34. Let w(l) = -l**4 + 2*l**3 + 1. Let m(i) = -10*w(i) + z(i). Factor m(s).
4*(s + 1)**4*(s + 6)
Find t such that -1/4*t**3 + 0 + 29/4*t**2 - 27/2*t = 0.
0, 2, 27
Suppose -25*u + 20*u = -20. Suppose 93*b = 74*b. Suppose 0*h - 1/2*h**3 + 1/2*h**u + b*h**2 + 0 = 0. What is h?
0, 1
Let y(s) = -108045*s**2 + 2940*s + 85. Let g(l) = -108045*l**2 + 2940*l + 70. Let d(b) = -7*g(b) + 6*y(b). Find t, given that d(t) = 0.
2/147
Let d(o) = -o**2 + 14*o + 19. Let v be d(15). Suppose -2 = v*j - 2. Determine b, given that j*b**2 - 5 + 21 - 2*b**2 - 2*b**2 = 0.
-2, 2
Let j(r) be the third derivative of 0 - 45*r**2 + 5/8*r**4 - 1/40*r**5 + 0*r - 25/4*r**3. Find t, given that j(t) = 0.
5
Let d = 705 - 709. Let a(y) = y**2 - 8*y - 46. Let r be a(d). Suppose 26/5*f**3 - 12/5*f + 0 + r*f**2 + 4/5*f**4 = 0. What is f?
-6, -1, 0, 1/2
Let m(s) be the second derivative of 2*s**5/105 + s**4/6 + 2*s**3/7 - 26*s**2 - 7*s + 3. Let t(y) be the first derivative of m(y). Solve t(a) = 0.
-3, -1/2
Let y(v) be the second derivative of -16/21*v**3 - 1/42*v**4 - 64/7*v**2 - 20*v + 0. Factor y(j).
-2*(j + 8)**2/7
Factor -3*k**2 + 195 + 493*k - 475*k + 68 + 10.
-3*(k - 13)*(k + 7)
Let j(g) be the third derivative of g**5/20 + 97*g**4/8 + 186*g**3 - 712*g**2 - g. Factor j(w).
3*(w + 4)*(w + 93)
Factor 44*h**3 - 116*h**3 + 10803*h**2 + 208 - 432*h - 21470*h**2 + 10959*h**2 + 4*h**4.
4*(h - 13)*(h - 2)**2*(h - 1)
Factor 2/5*n**3 - 76/5 + 34/5*n + 8*n**2.
2*(n - 1)*(n + 2)*(n + 19)/5
Suppose 0 = -5*u - v + 308, 33*u - 30*u - 174 = 3*v. Solve -5195*r**2 - 250*r**2 + u*r + 128*r - 5 + 141*r = 0.
1/33
Let z(v) be the second derivative of 1/24*v**4 - 1/60*v**6 + 1/40*v**5 - 13 + 2*v + 0*v**2 - 1/12*v**3. Factor z(n).
-n*(n - 1)**2*(n + 1)/2
Suppose -6*x + 5*x = 3, -a + 13 = 5*x. Let i be -2 + (-1)/2 + 206/a. Solve 18*s + 162/7 - i*s**2 + 2/7*s**3 = 0.
-1, 9
Let k(p) be the second derivative of p**8/5880 + p**7/490 + p**6/420 - 2*p**5/105 - 61*p**4/3 - 107*p. Let f(g) be the third derivative of k(g). Factor f(w).
4*(w + 1)*(w + 4)*(2*w - 1)/7
Let z(x) be the third derivative of 12*x**2 - 3/2*x**3 + 0 + 7/240*x**5 + 0*x - 1/24*x**4 - 1/144*x**6. Let p(d) be the first derivative of z(d). Factor p(r).
-(r - 1)*(5*r - 2)/2
Let u(n) be the second derivative of -n**4/3 - 14*n**3/3 + 4300*n**2 + 510*n - 6. Le