**5/20 - 35*q**4/12 + 28*q**3/3 + 26*q**2 + 2*q - 193. Solve r(b) = 0 for b.
-13, -2/3, 2
Let c be 6*(-2)/3*((-78)/(-12) + -7). Determine w so that 2*w**3 + 2/3*w**4 - 4/3 + 2/3*w**c - 2*w = 0.
-2, -1, 1
Let x(g) = -33*g**2 - 30*g + 9. Let f(a) = -2*a**2 - a. Let t(q) = -18*f(q) + x(q). Factor t(p).
3*(p - 3)*(p - 1)
Suppose 0 = -20*s + 32 + 48. Let f(m) = -m - 3. Let w be f(-5). Factor 0*b**2 - b**s - 3*b**3 - b - 4*b**w - 2*b**2 + 3*b**2.
-b*(b + 1)**3
Let z(p) = p**2 - 52*p - 33. Let k(y) = 5*y + 1. Let s(f) = 5*k(f) + z(f). Factor s(v).
(v - 28)*(v + 1)
Let -40*o - 27*o + 51*o - 14*o + 5*o**3 - 5*o**2 = 0. Calculate o.
-2, 0, 3
Let s = 35 + 3. Determine o so that -8*o**5 + 2 - 43*o**3 - 38*o**3 - 7*o + 32*o**4 + 31*o**3 + s*o**2 - 7*o = 0.
1/2, 1
Factor 0*i + 8/11*i**3 + 6/11*i**4 + 0*i**2 - 2/11*i**5 + 0.
-2*i**3*(i - 4)*(i + 1)/11
Let y(z) be the second derivative of 2*z**4/15 + 74*z**3/15 - 38*z**2/5 + 103*z + 1. Suppose y(o) = 0. Calculate o.
-19, 1/2
Let n(t) be the third derivative of 5/6*t**4 - 1/2*t**5 - 5/6*t**3 - 1/42*t**7 + 0 + 4*t**2 + 0*t + 1/6*t**6. Suppose n(d) = 0. Calculate d.
1
Let b = 262 + -261. Let o be 3 + 2/(-1) + b. Determine n, given that -1/2 + n**o - 7/4*n = 0.
-1/4, 2
Let l(k) be the second derivative of k**7/21 + 6*k**6/5 - 4*k**5 + k + 122. Determine o so that l(o) = 0.
-20, 0, 2
Let o(v) = 2*v**2 - 2. Let a(q) = q**3 - 10*q**2 + 36. Let x(r) = 5*a(r) + 10*o(r). Find b, given that x(b) = 0.
-2, 4
Let t be -452*(-19)/(-380) - -24. Determine q so that -1/5*q**3 - t*q + 3/5 + q**2 = 0.
1, 3
Factor -27/7 - 3/7*i**2 - 18/7*i.
-3*(i + 3)**2/7
Let o(i) = i**3 - 5*i**2 + 3*i + 12. Let z be o(3). Factor 64*d - 45 - 4*d**2 - 16*d**z + 0*d**2 + 61.
-4*(d - 2)*(d + 2)*(4*d + 1)
Factor 24/7*d + 0 + 2/7*d**2 - 2/7*d**3.
-2*d*(d - 4)*(d + 3)/7
Let u be 30/(-165) - 216/22. Let y be ((-4)/(-140)*-6)/(4/u). Factor -y - 6/7*l - 3/7*l**2.
-3*(l + 1)**2/7
Let i = -26 + 4. Let m be i/33 - 7*(-2)/6. Factor m*k - 1/3*k**4 + k**2 + 2/3 - 1/3*k**3.
-(k - 2)*(k + 1)**3/3
Suppose -9*q + 8 = -7*q. Solve -5*z**2 - 225*z + 3*z**q + 20*z**2 + 12*z**3 + 231*z = 0 for z.
-2, -1, 0
Suppose 14 = 2*r + 4*s, 5*r + 2*s - 11 = 4*s. Let 2*j**3 - 2*j**2 - 5*j**3 + r*j**3 + 5*j**3 = 0. Calculate j.
0, 2/5
Suppose -31 - 77 = 6*z. Let i be 2 + 5/(75/z). Suppose -2/5*v**3 + 2/5*v + i - 4/5*v**2 = 0. Calculate v.
-2, -1, 1
Let r(k) be the first derivative of -k**5/20 - 3*k**4/16 + k**3/6 + 3*k**2/2 + 2*k + 251. Determine p so that r(p) = 0.
-2, -1, 2
Suppose -2*a + 2*p = 5*p - 27, 0 = p - 3. Suppose 3*j - 24 = 5*r, -2*j - 4*r = -3 + a. Factor 3/2*n**4 + 3 + 3/2*n**j - 9/2*n**2 - 3/2*n.
3*(n - 1)**2*(n + 1)*(n + 2)/2
Let j(c) be the second derivative of 2*c**6/75 - 12*c**5/25 + 2*c**4 - 56*c**3/15 + 18*c**2/5 - 6*c + 2. Let j(s) = 0. What is s?
1, 9
Let f be ((-38451)/(-252))/((-21)/16). Let o = 820/7 + f. Determine q, given that 10/9*q + 2/9*q**3 - 4/9 - o*q**2 = 0.
1, 2
Factor -1/5*w**2 - 2/5*w + 0.
-w*(w + 2)/5
Factor 0*j**2 + 2*j**5 - 5/2*j**3 + 0*j - 1/2*j**4 + 0.
j**3*(j + 1)*(4*j - 5)/2
Factor -2166*g**2 + 6867 + 13718*g - 6867 - 2*g**4 + 114*g**3.
-2*g*(g - 19)**3
Let c = 203/395 + -9/79. Solve c*v**2 + 2/15*v**3 - 6/5*v - 18/5 = 0 for v.
-3, 3
Let g(k) be the third derivative of k**5/30 - 5*k**4/6 + 71*k**2. Factor g(u).
2*u*(u - 10)
Suppose -3*g + 5 = -2*g + 5*c, -4*c + 4 = g. Factor g - 40/9*x**2 + 50/9*x**3 + 8/9*x.
2*x*(5*x - 2)**2/9
Let p be (-18)/120 - 3/6*20/(-25). Factor 1/8*n**5 + 1/4*n**2 + p*n**3 + 1/8 - 3/8*n - 3/8*n**4.
(n - 1)**4*(n + 1)/8
Suppose 15*v = 12*v + 117. Suppose v*w = 37*w. Solve w + 0*u + 1/9*u**2 = 0 for u.
0
Factor 8/5*v**2 - 2*v - 2/5*v**3 + 4/5.
-2*(v - 2)*(v - 1)**2/5
Factor -1/2 + 13/4*b**3 + 6*b**2 + 9/4*b.
(b + 1)**2*(13*b - 2)/4
Let b(l) = -l**4 - l**3 - l. Let w(v) = 0*v + 2*v**3 + 5*v - v + 4*v**4 - v. Let h(d) = -15*b(d) - 5*w(d). Factor h(f).
-5*f**3*(f - 1)
Let m(i) be the first derivative of 3/4*i**4 + 5/4*i**3 - 35 + 0*i - 3/20*i**5 + 0*i**2. Let m(d) = 0. What is d?
-1, 0, 5
Suppose 2*x = -2, -3*x - 7 = -3*t - 2*x. Let l(j) = j**2 + 0*j - 129 - j + 129. Let d(q) = q**3 + q. Let g(b) = t*d(b) + 2*l(b). Factor g(z).
2*z**2*(z + 1)
Let k(z) be the third derivative of z**5/240 - z**4/16 - 21*z**2 - 5. Find t such that k(t) = 0.
0, 6
Let s(v) = 18*v**3 + 34*v**2 + 40*v - 24. Let a(o) = 2*o**3 + o**2 + o - 2. Let z(l) = 28*a(l) - 4*s(l). Find w such that z(w) = 0.
-5, -2, 1/4
Let t(y) be the second derivative of y**6/10 - 27*y**5/20 + 2*y**4 + 107*y + 2. Suppose t(r) = 0. Calculate r.
0, 1, 8
Let j(z) be the third derivative of z**8/1344 + z**7/420 - z**6/60 + z**5/120 + 7*z**4/96 - z**3/6 - 45*z**2. Determine m so that j(m) = 0.
-4, -1, 1
Let z(f) be the second derivative of f**9/7560 + f**8/1120 + f**7/630 + 17*f**4/12 - 4*f. Let h(q) be the third derivative of z(q). Solve h(l) = 0 for l.
-2, -1, 0
Factor -18*j**4 + 24*j**2 + 83*j**3 + 6*j**2 + 3*j**5 - 74*j**3.
3*j**2*(j - 5)*(j - 2)*(j + 1)
Suppose k = -3*t + 12, 0*t + k = -t + 4. Let a = -572/7 - -82. Find g such that a*g**t + 0*g + 0*g**2 + 2/7*g**3 + 0 = 0.
-1, 0
Suppose 6 = 32*y - 30*y. Suppose -12*a**y - 20*a**2 - 7*a - a + 17 - 17 = 0. Calculate a.
-1, -2/3, 0
Let o = 175/158 - -31/79. Factor -o*f**2 - 15/8*f - 3/8.
-3*(f + 1)*(4*f + 1)/8
Let f(d) be the first derivative of -d**4/22 - 14*d**3/33 + 30*d**2/11 - 35. Suppose f(w) = 0. Calculate w.
-10, 0, 3
Let w(l) = -l**3 - l**2 - l. Let t = -28 - -32. Let q(a) = a**4 + a**3 - 4*a**2 - a. Let m(y) = t*w(y) - 4*q(y). Factor m(g).
-4*g**2*(g - 1)*(g + 3)
Let c = 28 - 25. Let r(m) be the first derivative of 2/3*m**c + 5 + 2*m + 2*m**2. Factor r(b).
2*(b + 1)**2
Let o(x) be the first derivative of -x**5/30 + x**2/2 + 2. Let l(z) be the second derivative of o(z). Determine w, given that l(w) = 0.
0
Factor -7 + 23/2*r**2 - 159/2*r.
(r - 7)*(23*r + 2)/2
Let v(m) = -m + 17. Let b be v(15). Factor n**5 - 3*n - 4*n**b + 3*n**4 + 3*n.
n**2*(n - 1)*(n + 2)**2
Let d(n) be the third derivative of -n**9/24192 - n**8/13440 + n**7/5040 + n**5/12 - 5*n**2. Let w(l) be the third derivative of d(l). Factor w(q).
-q*(q + 1)*(5*q - 2)/2
Find f, given that -3*f + 0 - 3/7*f**3 + 24/7*f**2 = 0.
0, 1, 7
Factor -3/10*n**2 + 9/10*n - 1/10*n**3 - 1/2.
-(n - 1)**2*(n + 5)/10
Factor 496*j**4 - 163*j**4 - 166*j**4 - 12*j**2 + 12*j**3 - 44*j - 24 - 163*j**4.
4*(j - 2)*(j + 1)**2*(j + 3)
Suppose 0 = 18*s - 198*s + 900. What is j in 6*j**3 - 21/4*j**4 + 3/4 - 3/2*j + 3/2*j**s - 3/2*j**2 = 0?
-1/2, 1
Suppose 0 = -6*x + 466 - 1594. Let k = 193 + x. What is b in 0*b + 0*b**4 + 0 - 9/5*b**3 + 12/5*b**k - 3/5*b**2 = 0?
-1/2, 0, 1
Let r(l) = -l - 1. Let y(u) = 12*u**2 + 34*u + 18. Let c = -51 + 49. Let o(q) = c*r(q) - y(q). Factor o(j).
-4*(j + 2)*(3*j + 2)
Let c(w) be the second derivative of -w**7/126 + w**6/15 - 2*w**5/15 - w**4/2 + 3*w. Let t(m) be the third derivative of c(m). Factor t(f).
-4*(f - 2)*(5*f - 2)
Find i, given that -2*i**2 + 2/3*i**4 - 8/3*i + 4/3*i**3 + 8/3 = 0.
-2, 1
Let x(a) = -114*a**3 - 78*a**2 + 3*a - 3. Let w(f) = -116*f**3 - 78*f**2 + 5*f - 2. Let m(l) = -3*w(l) + 2*x(l). Suppose m(r) = 0. What is r?
-3/4, 0, 1/10
Find o, given that 15*o**2 - 40/3 - 170/3*o = 0.
-2/9, 4
Factor 0 + 9/5*v**2 - 6/5*v**3 - 4/5*v + 1/5*v**4.
v*(v - 4)*(v - 1)**2/5
Let d = 2610 - 2610. Factor -1/5*a**2 - 1/5*a**4 + 2/5*a**3 + 0 + d*a.
-a**2*(a - 1)**2/5
Let a(i) = -6*i + 208. Let p be a(34). Let m(q) be the second derivative of 1/50*q**5 + 1/5*q**3 + 2*q + 0 + 1/5*q**2 + 1/10*q**p. Factor m(d).
2*(d + 1)**3/5
Let y be -3 + 1 + 1 - 1120/(-909). Let s = y + -1/101. Factor 0 - 2/9*k - s*k**2.
-2*k*(k + 1)/9
Let j(a) be the third derivative of -1/15*a**6 + 0*a**3 + 0*a + 7/15*a**5 - 2/15*a**7 + 0 + 1/3*a**4 + 13*a**2. Factor j(u).
-4*u*(u - 1)*(u + 1)*(7*u + 2)
Determine y so that 5*y**2 - 5*y**4 + 337*y**3 - 670*y**3 + 333*y**3 = 0.
-1, 0, 1
Let c = -32 - -34. Solve -27*u - 26*u + 8 - 4*u**c + 39*u = 0 for u.
-4, 1/2
Suppose 2*k - 3*a + 24 = -4*a, -21 = k + 5*a. Let q(b) = -b**3 - 12*b**2 - 12*b - 9. Let v be q(k). Find o such that 0*o + 0 - 1/5*o**v = 0.
0
Let s(y) be the third derivative of y**8/420 - 2*y**7/75 + 8*y**6/75 - 4*y**5/25 + 16*y**2 - 2. Solve s(v) = 0 for v.
0, 2, 3
Suppose -4 - 8 = 4*w, 0 = -5*k + 5*w + 25. Let i(d) = 6*