. Let h = -108/137 + 1030/959. Factor -h*p**3 - 2/7*p + 4/7*p**y + 0.
-2*p*(p - 1)**2/7
Let k(h) = 3*h**4 - 75*h**3 + 426*h**2 - 1040*h + 962. Let x(u) = -11*u**4 + 300*u**3 - 1707*u**2 + 4160*u - 3849. Let v(n) = 9*k(n) + 2*x(n). Factor v(c).
5*(c - 4)**3*(c - 3)
Let f(a) = 44*a**2 + 31. Let r be f(-4). Suppose 20/3 + 140*o + r*o**2 = 0. Calculate o.
-2/21
Let -31/9*c + 0 + 1/9*c**2 = 0. Calculate c.
0, 31
Let g(b) = -b**3 - 2*b**2 - 1. Let r(a) = -4*a**3 - 88*a**2 + a + 79. Let k(w) = 3*g(w) - r(w). Factor k(j).
(j - 1)*(j + 1)*(j + 82)
Let u(k) be the third derivative of k**8/1344 + k**7/280 + k**6/240 + 14*k**2 + 3. Solve u(y) = 0.
-2, -1, 0
Suppose 0 = -613*t + 617*t - 16. Factor -6/17*h**3 + 0*h + 0 + 2/17*h**2 + 6/17*h**t - 2/17*h**5.
-2*h**2*(h - 1)**3/17
Let o(u) be the first derivative of 12*u**5/5 - 10*u**4 + 28*u**3/3 + 8*u**2 - 16*u + 29. Factor o(h).
4*(h - 2)*(h - 1)**2*(3*h + 2)
Let f be ((-2)/3)/(30/(-2745)). Determine a, given that 36*a**3 + 0*a + f*a**4 + 0*a - 76*a**4 - 12*a**2 = 0.
0, 2/5, 2
Suppose -73*l + 32 + 114 = 0. Factor 4/3*z**l + 4/9*z**3 + 4/9 + 4/3*z.
4*(z + 1)**3/9
Let n(a) be the first derivative of -10/3*a**3 + 34 - 8*a**2 - 1/2*a**4 - 8*a. Factor n(d).
-2*(d + 1)*(d + 2)**2
Let g(k) be the second derivative of -k**5/4 + 5*k**4/2 + 5*k**3/6 - 15*k**2 + 93*k. Let g(q) = 0. Calculate q.
-1, 1, 6
Let v be (-645)/35 + (77 - 58). Let u(x) = -x**3 - 6*x**2 - 5*x. Let s be u(-5). Let 0 + 6/7*b**5 + 0*b**2 + s*b + v*b**4 - 2/7*b**3 = 0. What is b?
-1, 0, 1/3
Let b(x) be the first derivative of -2*x**3/15 + 156*x**2/5 - 12168*x/5 - 24. Solve b(i) = 0 for i.
78
Let q(k) = -9*k + 3. Let p(a) be the first derivative of a**3/3 + 5*a**2 - 4*a - 1. Let s(t) = 3*p(t) + 4*q(t). Let s(b) = 0. Calculate b.
0, 2
Let j(q) = -2 + 1 + 18*q - 19*q. Let x(v) = -3*v**2 + 8*v + 1. Let f(m) = 12*j(m) + 4*x(m). Factor f(y).
-4*(y - 1)*(3*y - 2)
Let x(n) = 4*n + 49. Let r be x(-11). Suppose 5*d = -r*w, -5*w - d + 4*d = -16. Suppose 2/9*b**w + 4/9*b + 0 = 0. What is b?
-2, 0
Let z(d) = -66*d**2 - 3*d + 3. Let q be z(1). Let m be (-1 + (-12)/(-3))*(-4)/q. Factor 0 - 2/11*c**2 + m*c.
-2*c*(c - 1)/11
Suppose 0 = -4*k + 4, 5 = 3*a - 4*k + 3*k. Determine c, given that a*c**2 - 5*c + 19 - 2*c - 7 - 3*c = 0.
2, 3
Let v(d) = -335*d**3 + 0*d + 336*d**3 + d + 1. Let i(l) = 8*l**3 + 6*l + 7. Let x(j) = 2*i(j) - 14*v(j). Suppose x(a) = 0. What is a?
-1, 0, 1
Let a = 1528 + -1528. What is m in a*m + 2/3*m**2 + 0 = 0?
0
Let j(m) be the third derivative of -m**6/660 + m**5/66 + m**4/132 - 5*m**3/33 + 84*m**2. Let j(f) = 0. What is f?
-1, 1, 5
Determine v so that -6*v + 3*v**2 - 41 + 15 + 2 = 0.
-2, 4
Factor 1720*b - 261*b**2 + 1116*b**2 + 155*b + 870*b**2 - 147*b**3 + 3*b**4.
3*b*(b - 25)**2*(b + 1)
Determine b, given that -1/10*b**5 + 3/10*b + 3/5*b**3 + 0*b**4 - 4/5*b**2 + 0 = 0.
-3, 0, 1
Let -29*f**3 - 107*f + 1000 - 40*f**2 - f**4 - 91*f**2 - 593*f - 139*f**2 = 0. Calculate f.
-10, 1
Let q(f) = f**2 - 15*f - 26. Let z(n) = 2*n**2 - 14*n - 28. Let x(v) = -6*q(v) + 5*z(v). Factor x(h).
4*(h + 1)*(h + 4)
Suppose 132*s = 129*s + 12. Let g be (3/(-21))/(s/(-14)). Determine x, given that 0 - 1/2*x**3 + g*x**2 + 0*x = 0.
0, 1
Suppose -4*b + 33 = 13. Let j be (-45)/(-21) - (4 + 1)/b. Determine t so that 8/7 + 2/7*t**2 - j*t = 0.
2
Let r(c) be the second derivative of c**6/165 - 7*c**4/66 + 2*c**3/11 + 39*c + 4. What is n in r(n) = 0?
-3, 0, 1, 2
Let z(a) be the third derivative of a**8/420 + 2*a**7/525 - a**6/75 - 2*a**5/75 + a**4/30 + 2*a**3/15 + 25*a**2. Let z(s) = 0. What is s?
-1, 1
Let r = -165/34 - -108/17. Let q(j) be the first derivative of -r*j**4 - 7 + 0*j + j**2 - 4/3*j**3. Suppose q(o) = 0. What is o?
-1, 0, 1/3
Suppose -921*w + 916*w = 0. Factor w - 1/5*q**2 - 1/5*q.
-q*(q + 1)/5
Factor 131/7*x + 1/7*x**2 - 132/7.
(x - 1)*(x + 132)/7
Let n(l) = -2*l**3 + 6*l**2 - 34*l. Let y(a) = -3*a**3 - a**2 - a. Let w(c) = -n(c) + 2*y(c). Determine r so that w(r) = 0.
-4, 0, 2
Let j(u) be the third derivative of -u**5/180 + 11*u**4/72 + 2*u**3/3 + 61*u**2. Suppose j(v) = 0. What is v?
-1, 12
Let h(g) be the second derivative of g**6/240 + 11*g**5/80 + 5*g**4/8 + 29*g**3/24 + 19*g**2/16 - 286*g + 2. Factor h(d).
(d + 1)**3*(d + 19)/8
Let x(a) = -4*a + 53. Let g be x(13). Let d = g - -3. Let 0*z - 2*z**3 + 5*z**4 - 3/2*z**5 - d*z**2 + 0 = 0. Calculate z.
-2/3, 0, 2
Let t(s) be the third derivative of -s**6/24 - s**5/12 + 10*s**4/3 - 50*s**3/3 - s**2 - 19. Factor t(z).
-5*(z - 2)**2*(z + 5)
Let k(s) = -7*s**2 - 25*s - 12. Let x(d) = -20*d**2 - 74*d - 37. Let c(f) = 17*k(f) - 6*x(f). Factor c(q).
(q + 1)*(q + 18)
Suppose -4*q - q + 3*f = -266, -2*f = -4*q + 212. Suppose 3*p + p - q = 0. Find x, given that 0 + p*x**4 - 12*x**4 + 0 + x**3 = 0.
-1, 0
Let h be (72/(-15))/(-3) - 16/(-40). Let v(r) be the second derivative of -1/2*r**3 + 0*r**h + 0 + 3/4*r**4 + r - 3/10*r**5. Determine b so that v(b) = 0.
0, 1/2, 1
Let u(a) = a**2 + a - 1. Let y(d) = -d**2 + d. Let o(r) = 2*u(r) - y(r). Let t(l) = -9*l**2 - 9*l**2 + 17*l**2. Let x(v) = o(v) + 2*t(v). Factor x(c).
(c - 1)*(c + 2)
Let m(o) be the second derivative of o**4/96 - o**3/24 - 3*o**2/16 - o - 15. Find y, given that m(y) = 0.
-1, 3
Let x(i) be the third derivative of -2*i**7/105 + 13*i**6/15 - 56*i**5/5 - 13*i**4/3 + 338*i**3/3 - i**2 - 54*i. Determine s so that x(s) = 0.
-1, 1, 13
Let k(v) be the first derivative of -v**7/1680 + v**6/480 - v**5/480 + 6*v**3 - 13. Let f(n) be the third derivative of k(n). Let f(t) = 0. Calculate t.
0, 1/2, 1
Let -453*x**3 - 65*x**2 - 180 + 900*x**3 - 452*x**3 - 200*x = 0. What is x?
-9, -2
Let d = -1250 - -1253. Let x(z) be the second derivative of 1/15*z**6 - 5/3*z**d - 13*z + 1/10*z**5 - 2*z**2 + 0 - 1/2*z**4. Solve x(t) = 0.
-1, 2
Suppose -245*w = -310*w + 195. Suppose -1/3*h**w - 4/3*h**2 - 2/3 - 5/3*h = 0. Calculate h.
-2, -1
Let h be (-2989)/429 + -1 + 5 + 3. Let m = 4/33 + h. Factor 6/13*d**2 + m - 8/13*d.
2*(d - 1)*(3*d - 1)/13
Let f(z) be the second derivative of -z**5/20 + z**4/12 + z**3/6 - z**2/2 - 76*z. Determine a, given that f(a) = 0.
-1, 1
Suppose 1064 - 1028 = 12*d. Solve 0*s**2 + 0*s + 1/3*s**d + 1/3*s**5 - 2/3*s**4 + 0 = 0.
0, 1
Factor -60 - 5/3*a**4 - 50/3*a**3 - 100*a - 185/3*a**2.
-5*(a + 2)**2*(a + 3)**2/3
Find x, given that -10*x**3 - 438*x**2 + 22752*x - 11*x**3 + 23*x**3 + 9222*x - 778034 = 0.
73
Suppose -2*p + j = -5, 5*p + 10*j - 5 = 5*j. Let u(l) be the second derivative of -49/30*l**4 - 28/15*l**3 - 4/5*l**p + 0 + 6*l. Factor u(y).
-2*(7*y + 2)**2/5
Let m(r) be the first derivative of -6/5*r**5 + 0*r + 1 + 3/4*r**4 + 1/2*r**6 + 0*r**3 + 0*r**2. What is t in m(t) = 0?
0, 1
Find m, given that -2*m + 6*m**3 + 3*m - 10*m**2 - 2*m**3 + 4 + m = 0.
-1/2, 1, 2
Suppose 4*j - d = 30, 4*j = 4*d + d + 38. Determine m, given that 4*m**3 - 4*m**2 + 0*m + j - 3 - 4*m = 0.
-1, 1
Let a(y) be the first derivative of 4*y**5/5 - 3*y**4 + 8*y**2 - 36. Determine o so that a(o) = 0.
-1, 0, 2
Let n(m) = 16*m**3 - 55*m**2 + 181*m - 120. Let h(q) = -3*q**3 + 11*q**2 - 36*q + 24. Let p(r) = -33*h(r) - 6*n(r). Factor p(a).
3*(a - 6)*(a - 4)*(a - 1)
Suppose 266 = 3*r + 4*r. Suppose -18*g - g + r = 0. What is h in 2*h**g - 2*h**4 - 2/3*h**5 + 4/3*h - 2/3*h**3 + 0 = 0?
-2, -1, 0, 1
Let m be ((-2)/8)/(42/(-24)). Factor 1/7*q**4 - 1/7*q**3 + m*q + 0 - 1/7*q**2.
q*(q - 1)**2*(q + 1)/7
Let i(d) be the first derivative of -2*d**3/3 - d**2/2 + d - 9. Let g(w) = -4*w**2 - w + 3. Let o(a) = 3*g(a) - 7*i(a). Solve o(t) = 0.
-1
Let p(m) be the first derivative of 0*m**3 + 8/5*m**5 - m**4 + 0*m + 0*m**2 - 17 - 2/3*m**6. Factor p(q).
-4*q**3*(q - 1)**2
Let y(x) be the first derivative of 0*x - 3*x**2 + 3/5*x**5 + 0*x**4 + 10 - 3*x**3. Factor y(p).
3*p*(p - 2)*(p + 1)**2
Let q(i) be the first derivative of -2*i**5/5 + i**4 + 2*i**3/3 - 2*i**2 + 155. Suppose q(w) = 0. What is w?
-1, 0, 1, 2
Let w(l) be the first derivative of 5*l**3/6 - l**2/2 + 9. Factor w(v).
v*(5*v - 2)/2
Let g(u) be the first derivative of 0*u - 9/2*u**4 + 0*u**2 + 5 + u**3. Find i, given that g(i) = 0.
0, 1/6
Let m(a) = -10*a**3 + 48*a**2 + 134*a - 137. Let t(l) = 3*l**3 - 15*l**2 - 44*l + 46. Let c(p) = -2*m(p) - 7*t(p). Determine j, given that c(j) = 0.
-4, 1, 12
Suppose 4*i = 20, 4*y + 8 = 5*i + 3. Let k be -3*y/