s) = 5*f(s) - 16*w(s). Factor m(q).
-2*(q + 41)**2
Let z(v) be the first derivative of 3*v**5/25 + 3*v**4/5 - 4*v**3/5 - 24*v**2/5 + 2481. Solve z(y) = 0 for y.
-4, -2, 0, 2
Let r = 473 + -493. Let d be (45/r)/((-72)/16). Factor 3/2*z - 1 - 3/2*z**3 + 1/2*z**2 + d*z**4.
(z - 2)*(z - 1)**2*(z + 1)/2
Let w(x) = 3*x + 24. Let s be w(-8). Suppose s = -h + 5*q + 12, 6 = 3*h - h - q. What is a in 51 + 755*a**h - 31 + 260*a + 90*a**2 = 0?
-2/13
Let w(m) be the second derivative of -1/36*m**4 + 23*m - 200/3*m**2 - 20/9*m**3 - 1. What is b in w(b) = 0?
-20
Let l(u) be the first derivative of u**6/27 + 16*u**5/9 + 311*u**4/18 - 3608*u**3/27 + 484*u**2/3 + 2296. Solve l(g) = 0.
-22, 0, 1, 3
Suppose -16 = -4*g + 2*c, 3*g - 12614 = -2*c - 12616. Find t, given that 9/4*t**3 + 9 - 1/4*t**5 - 6*t - 23/4*t**g + 3/4*t**4 = 0.
-2, 1, 3
Suppose -5*s + 28 = 2*y, -s + 5*y - 36 = -5*s. Suppose -s*t + 105 = 3*h, 4*h + 2*t + 10 - 140 = 0. Factor -18 + 28 + 45*a**2 + 5*a**4 - h*a**3 - 35*a + 6*a**3.
5*(a - 2)*(a - 1)**3
Let l(r) = 4 + 16*r - 3 - 5*r - r**3 - 10*r. Let i(j) = 8*j**3 - 3*j**2 - 7*j - 7. Let h(k) = -4*i(k) - 28*l(k). Find q such that h(q) = 0.
0, 3
Suppose -u - i + 3 = 0, 856*u + 4 = 860*u - 4*i. Find k such that -16/17 - 2/17*k**u - 18/17*k = 0.
-8, -1
Let n(i) be the third derivative of 0*i - 2/15*i**5 + 113*i**2 - 19/6*i**4 - 6*i**3 + 0. Determine l, given that n(l) = 0.
-9, -1/2
Let c(a) be the third derivative of -a**8/504 + 11*a**7/315 - 43*a**6/180 + 77*a**5/90 - 16*a**4/9 + 20*a**3/9 + 529*a**2. Find x, given that c(x) = 0.
1, 2, 5
Let i(x) = 2*x**4 + x**3 - x**2 + 2*x. Let c(m) = -3*m**5 - 312*m**4 + 2487*m**3 - 5079*m**2 - 18*m. Let g(a) = -c(a) - 9*i(a). Suppose g(s) = 0. Calculate s.
-106, 0, 4
Suppose m - 35 = 4*s, 4*s + s + m = -55. Let p(z) = -z**3 + 39*z**2 + 40*z + 2. Let w(a) = -a**2 - a + 1. Let o(t) = s*w(t) + 5*p(t). Let o(x) = 0. Calculate x.
-1, 0, 42
Let u = -9621519 + 15432917683/1604. Let z = u + -1/401. Find b such that 5/8*b + z - 1/8*b**2 = 0.
-1, 6
Factor -520*m**2 - 8*m**3 - 4*m**3 - 73669*m + 74021*m.
-4*m*(m + 44)*(3*m - 2)
Let s(t) be the second derivative of 0*t**4 + 90*t + 0*t**3 - 1/91*t**7 + 0 + 0*t**2 - 1/130*t**5 + 4/195*t**6. Factor s(f).
-2*f**3*(f - 1)*(3*f - 1)/13
Let c(d) = -800*d - 4797. Let r be c(-6). Factor 3*k**2 + 9/2 + 3/4*k**r - 33/4*k.
3*(k - 1)**2*(k + 6)/4
Let y(d) = 6*d**2 + 6*d - 12. Suppose -2*s - 145 = -137. Let x(j) = -17*j**2 - 17*j + 36. Let t(m) = s*x(m) - 11*y(m). Factor t(g).
2*(g - 2)*(g + 3)
Suppose w - 2*w = u - 2, -2 = 5*w - u. Determine h, given that -800 + 84*h**3 + 205*h**2 + 125 - 703*h**2 - 1260*h + w*h**4 - 3*h**4 = 0.
-1, 15
Let r(d) = -13*d - 61. Let l be r(-5). Suppose -235*z**2 - 5*z**3 - 7 + 6*z**l + 205*z**2 + 1 - 25*z = 0. What is z?
-1, -2/3, -1/2, 3
Let l be (843 - 3)/(-30) - -30. Factor 27*t**l + 0 - 3/2*t**5 + 0*t + 12*t**4 - 63/2*t**3.
-3*t**2*(t - 3)**2*(t - 2)/2
Let c(s) be the third derivative of -s**6/420 - 421*s**5/210 - 44935*s**4/84 - 43681*s**3/7 - 8*s**2 - 25*s. Factor c(p).
-2*(p + 3)*(p + 209)**2/7
Let w(j) be the second derivative of -j**8/336 + j**7/105 - j**5/30 + j**4/24 + 23*j**2 + 57*j. Let b(z) be the first derivative of w(z). Solve b(o) = 0.
-1, 0, 1
Let 13184/9 - 2/9*l**3 + 808/9*l**2 + 6560/9*l = 0. Calculate l.
-4, 412
Suppose 17869*g - 17865*g - 4*x = -68, -5*x + 89 = -3*g. What is u in 1/4*u**2 - 3/2*u + g = 0?
2, 4
Let y = -67038 - -335196/5. Suppose 0*u + y*u**2 + 3/5*u**4 + 0 - 9/5*u**3 = 0. Calculate u.
0, 1, 2
Let z = 104467/270 - -361/54. Let k = z - 393. Suppose k*s**2 + 0 - 1/5*s**4 + 0*s**3 + 2/5*s = 0. Calculate s.
-1, 0, 2
Let m = -1479 - -1437. Let r be 4/m*(-1918)/685. Find o such that r + 4/15*o**2 - 6/5*o - 8/15*o**4 + 16/5*o**3 - 2*o**5 = 0.
-1, 1/3, 2/5, 1
Let o be -83 - -4 - (-114030)/378. Factor 27553/3*u**2 + 4/3*u**4 - 9352*u + o*u**3 + 2352.
(u + 84)**2*(2*u - 1)**2/3
Let t be ((-9)/(-12))/(6*4/64). Let u(v) be the second derivative of 0 + 0*v**t - 1/3*v**3 - 16*v + 1/36*v**4. Factor u(d).
d*(d - 6)/3
Let i = -567799/2 + 283909. Find w, given that -i*w**3 - 1/3 + 26/3*w**2 + 1/2*w - 24*w**5 - 124/3*w**4 = 0.
-1, -2/9, 1/4
Let u(a) = -4*a + 4. Let c be u(1). Suppose c = 10*t - 1 - 49. Factor -375*p + 29*p**2 + 625 + 76*p**2 - t*p**3 - 30*p**2.
-5*(p - 5)**3
Let i(m) be the third derivative of -120*m**2 - 3698/9*m**3 + 0 - 43/9*m**4 - 1/45*m**5 + 0*m. Determine w, given that i(w) = 0.
-43
Find s such that -48*s + 4/3*s**2 + 2/9*s**3 + 0 = 0.
-18, 0, 12
Let m(o) be the third derivative of o**6/60 + 413*o**5/30 + 410*o**4/3 + 1636*o**3/3 + 7976*o**2. Factor m(r).
2*(r + 2)**2*(r + 409)
Let w(b) be the second derivative of -3*b**2 - 3/8*b**4 - 11/6*b**3 + 7/80*b**5 + 1/168*b**7 + 1/20*b**6 - 182 + b. Suppose w(l) = 0. What is l?
-3, -2, -1, 2
Let w(d) be the first derivative of d**6/4140 + d**5/690 + d**4/276 - 19*d**3/3 + 70. Let b(u) be the third derivative of w(u). Find j such that b(j) = 0.
-1
Let u = 114 + -2162/19. Suppose -k = -4*o + 1, 5 = -7*o + 8*o - 5*k. What is i in 2/19*i**5 + 0 - u*i**2 - 8/19*i**4 + 10/19*i**3 + o*i = 0?
0, 1, 2
Factor -136*q**3 + 4*q**4 - 82*q**3 + 262*q**3 - 108*q - 61*q**2 - 8*q**4 + q**2.
-4*q*(q - 9)*(q - 3)*(q + 1)
Let a = -2442/7 - -2131852/6111. Let c = a + 1772/11349. Solve 0*w + 2/13 - c*w**2 = 0 for w.
-1, 1
Suppose t - 34 = -6. Suppose -t = -4*s - 3*s. Suppose -3*j**2 + 8*j + 12 + s*j**2 - j = 0. What is j?
-4, -3
Let p(t) = -2*t - 63. Let h be p(-29). Let s(o) = 14*o**3 - 4*o**2 - 14*o. Let m(a) = a**4 - 29*a**3 + 9*a**2 + 29*a. Let f(b) = h*s(b) - 2*m(b). Factor f(j).
-2*j*(j - 1)*(j + 1)*(j + 6)
Let t(f) = f**2 + 65*f + 1003. Let n be t(-25). Factor -6/5*k**2 + n + 27/5*k.
-3*(k - 5)*(2*k + 1)/5
Let d be -12*(-21 - -23)*(-1)/8. Let v(k) be the second derivative of -2*k**d - 47*k + 0 + 1/3*k**4 + 0*k**2. Factor v(s).
4*s*(s - 3)
Let k = -45191 + 45194. Factor 1/3*t**k - 10/3 - 8/3*t**2 - 19/3*t.
(t - 10)*(t + 1)**2/3
Find w such that 9*w**4 + 3/2*w**5 + 0*w**3 + 45/2*w - 33*w**2 + 0 = 0.
-5, -3, 0, 1
Factor 462*a**2 + 25039/3 - 1/3*a**4 + 10388/3*a + 52/3*a**3.
-(a - 73)*(a + 7)**3/3
Let v(w) be the first derivative of -5*w**4 - 63 - 2/9*w**6 + 32/3*w**2 + 32/9*w**3 - 32/15*w**5 + 0*w. Find y, given that v(y) = 0.
-4, -1, 0, 1
Let p(f) = f - 10. Let j be p(27). Factor 9*x**3 - 12*x - 36*x**3 - 5*x**4 - 8*x + 35*x**2 + j*x**3.
-5*x*(x - 1)**2*(x + 4)
Let r(j) be the second derivative of 450/7*j**2 - 2/3*j**4 - 1 + 9*j - 1/70*j**5 - 55/7*j**3. Factor r(c).
-2*(c - 2)*(c + 15)**2/7
Let y(a) = -23*a**2 - 148*a - 57. Let l be y(-6). Let c(n) be the second derivative of -n**l + 5*n + 1/6*n**4 - 4*n**2 + 0. What is q in c(q) = 0?
-1, 4
Let p be -9 + (25/((-1200)/208) - -14). Factor -2/3*a - p - 1/6*a**2.
-(a + 2)**2/6
Let q(k) be the third derivative of 9*k**2 + 0*k + 0 - 1/4*k**4 + 0*k**3 + 1/20*k**5. Factor q(s).
3*s*(s - 2)
Let l be 72/396 + 1316/22. Let a be (-4 - -7)*10/l. Factor -1/2*g - g**4 + 0 + g**2 + a*g**3.
-g*(g - 1)*(g + 1)*(2*g - 1)/2
Suppose -3*m + 20 = -7. Suppose 89 = m*o - 46. Factor -4 + 81*g**3 + 25*g - 151*g**2 + o*g + 34*g**2.
(g - 1)*(9*g - 2)**2
Suppose -8*b - 100 + 124 = 0. Factor 60*k**4 - 8*k**5 - 320 + 114*k**2 + 146*k**2 + 13*k**5 - 240*k + 235*k**b.
5*(k - 1)*(k + 1)*(k + 4)**3
Let b(q) be the second derivative of -2/3*q**3 + 0*q**2 + 1/900*q**6 + 0*q**4 + 21*q + 0 + 1/100*q**5. Let f(l) be the second derivative of b(l). Factor f(j).
2*j*(j + 3)/5
Let d(k) = -4*k**4 - 18*k**3 + 4*k**2 + 6*k. Let r(h) = h - 546*h**3 + 1099*h**3 - 552*h**3. Let x(g) = d(g) + 6*r(g). Suppose x(q) = 0. Calculate q.
-3, -1, 0, 1
Let s(r) be the first derivative of 38 + 12*r - 1/3*r**3 + 1/2*r**2. Find y, given that s(y) = 0.
-3, 4
Suppose -4*n - 236 = 3*u, 3*u - 7*n = -9*n - 226. Let g be u*(1 - 45/42). Find s, given that 12/7*s**4 + 25/7*s**3 - g*s - s**5 - 22/7*s**2 - 8/7 = 0.
-1, -2/7, 2
Find t such that 2/5*t**4 + 0 + 151/5*t**2 - 61*t**3 + 152/5*t = 0.
-1/2, 0, 1, 152
Determine r so that 20/7*r**2 + 66/7*r**3 - 10/7*r**5 + 0*r + 36/7*r**4 + 0 = 0.
-1, -2/5, 0, 5
Let i(t) be the third derivative of -195938*t**7/105 + 65417*t**6/10 - 394381*t**5/60 + 209*t**4/4 - t**3/6 - 40*t**2 - 12*t. Factor i(y).
-(y - 1)**2*(626*y - 1)**2
Let u = 23715 + -23693. Let h(i) be the second 