 -1/5, 201
Let a be 173/7 + (-2)/(-7). Suppose 2*m - r = 21, -2*m + 3*r = -50 + 31. Suppose -18 + m + 12 - a*d - 30*d**2 = 0. What is d?
-1, 1/6
Let g be 1185/158*6*-1. Let y be (-57)/g + 8*3/72. Let -16/5*n**2 + 4/5*n - 12/5*n**3 + y = 0. Calculate n.
-1, 2/3
Let p(v) = v**3 - 97*v**2 + 2291*v + 207. Let h be p(41). Factor 0*b + 0 - 32/7*b**3 + 2/7*b**4 + 30/7*b**h.
2*b**2*(b - 15)*(b - 1)/7
Let k be (-6 + (-214)/(-6))*-30. Let r = 894 + k. Determine d so that 0*d**2 + 4/9*d**3 + 0 + 2/3*d**5 - 10/9*d**r + 0*d = 0.
0, 2/3, 1
Let f(k) be the third derivative of -19*k**2 + 1/4*k**5 + 0*k**4 - 1 - 1/24*k**6 - 10/3*k**3 + 0*k. Determine x so that f(x) = 0.
-1, 2
Suppose -2*d = -2*d + 5*d. Factor -5*p + 3*p**2 + d*p**2 - 2*p - 5*p.
3*p*(p - 4)
Find s, given that 4210 - 5*s**5 + 820*s**4 - 750*s**3 + 810*s**2 - 4210 - 875*s**3 = 0.
0, 1, 162
Factor -21*f**3 - f**4 + f**3 - 30*f**5 + 7*f**4 - 39*f**4 + 5*f**2 - 22*f**4.
-5*f**2*(f + 1)**2*(6*f - 1)
Solve -207/2*k**3 - 83/4*k**2 + k**5 - 327/4*k**4 + 0 + 0*k = 0.
-1, -1/4, 0, 83
Factor -200/3 - 95*n + 5/2*n**3 + 55/6*n**2.
5*(n - 5)*(n + 8)*(3*n + 2)/6
What is q in 6*q - 17*q + 71*q + 94*q**2 - 282*q**2 = 0?
0, 15/47
Suppose -3*b = 2*a + 11, -9*a + 3*b - 7*b - 2 = 0. Factor -2/7*r + 12/7 - 2/7*r**a.
-2*(r - 2)*(r + 3)/7
Factor -46 + 4*x**4 - 16*x**3 + 82*x**3 - 106 - 636*x**2 + 138*x**3 + 644*x - 64.
4*(x - 1)**3*(x + 54)
Suppose 4*h = -4*c + 20, 3*h - h - 10 = 0. Factor 2*a**3 + 14*a + a**3 - 20*a + c*a**4 + 10*a**4 + 3*a**5 - 9*a**2 - a**4.
3*a*(a - 1)*(a + 1)**2*(a + 2)
Let 7128*v + 3175524 + 2839*v**2 - 5658*v**2 + 2823*v**2 = 0. What is v?
-891
Suppose -p - 2*p + 15 = 0, 0 = -5*v - 4*p + 35. Let l be 21/v - (2 + 3). Factor -18*x**5 + l*x + 33*x**5 + 10*x**4 - 20*x**5 - 10*x**2 + 3*x.
-5*x*(x - 1)**3*(x + 1)
Let d(t) = 4*t**3 + 320*t**2 + 2432*t + 6048. Let h(x) = -x**3 - 107*x**2 - 810*x - 2016. Let l(g) = -3*d(g) - 8*h(g). Let l(p) = 0. What is p?
-14, -6
Let u = -77623 - -77627. Find g such that 40/3*g**u - 26/3*g + 6*g**5 + 8/3*g**3 - 12*g**2 - 4/3 = 0.
-1, -2/9, 1
Determine t so that 120984 + 574*t**2 - 102866*t - 45490*t - 2*t**3 + 106324*t = 0.
3, 142
Let v(p) be the third derivative of -2*p**2 + 5/32*p**4 + 3/8*p**3 + 0*p + 7/240*p**5 - 5 + 1/480*p**6. Factor v(t).
(t + 1)*(t + 3)**2/4
Let n(a) be the second derivative of a**6/15 + 121*a**5/10 + 1599*a**4/2 + 58835*a**3/3 - 137842*a**2 - 4*a + 11. Find z, given that n(z) = 0.
-41, 2
Let q(b) be the second derivative of -b**7/126 - b**6/30 + b**5/12 + b**4/12 - 2*b**3/9 + 495*b. Suppose q(s) = 0. What is s?
-4, -1, 0, 1
Let h(x) be the second derivative of -x**5/12 + 55*x**4/12 - 58*x**2 + 5*x - 19. Let p(k) be the first derivative of h(k). Suppose p(f) = 0. What is f?
0, 22
Let j(v) be the second derivative of v**5/10 - 7*v**4/2 + 23*v**3/3 + 285*v**2 - 267*v - 3. Factor j(o).
2*(o - 19)*(o - 5)*(o + 3)
Let v(t) be the second derivative of -t**5/60 - 71*t**4/36 - 167*t**3/9 - 44*t**2 + 3900*t. Let v(f) = 0. What is f?
-66, -4, -1
Suppose 0 = 4*v - z - 31, v = 2*z - 30 + 36. Let y(p) be the first derivative of -2/63*p**3 - 8/21*p + v + 5/21*p**2. Factor y(i).
-2*(i - 4)*(i - 1)/21
Let q = -3103 + 3120. Let n(j) be the second derivative of -15/8*j**2 + 0 - 5/48*j**4 - q*j - 25/24*j**3 + 1/16*j**5. Determine g so that n(g) = 0.
-1, 3
Let m(o) be the first derivative of o**4/60 + o**3/6 + 2*o**2/5 + 38*o - 34. Let b(r) be the first derivative of m(r). Solve b(s) = 0 for s.
-4, -1
Let t(n) = -n**2 + 11*n - 25. Let r be t(8). Let j(p) = p**2 - p. Let g be j(r). Factor -12*v**g + 8*v - 278 + 278 + 4*v**3.
4*v*(v - 2)*(v - 1)
Let x(q) be the first derivative of -q**3/3 - 23*q**2 + 2470. Factor x(u).
-u*(u + 46)
Let z be (-49)/(-14) + 25/(-10) - 5. Let q be (-15)/(-24)*z/(-5). Find l, given that 1/2*l**3 + 1/2 - q*l**2 - 1/2*l = 0.
-1, 1
Let d(a) be the third derivative of 5*a**8/2016 - a**7/630 - 43*a**6/720 + a**5/10 + a**4/4 + 184*a**2. What is x in d(x) = 0?
-3, -3/5, 0, 2
Suppose -7 + 15 = -2*k. Let i be (6 + -4)/((-2)/k). Find d, given that 2*d - i*d**2 + 397 - 2*d - 393 = 0.
-1, 1
Let w(o) be the second derivative of 2*o**6/15 + 2*o**5 - 17*o**4 + 136*o**3/3 - 56*o**2 + 3607*o. Find k such that w(k) = 0.
-14, 1, 2
Suppose -5*s - 8 = 3*u, s - 2*u + 2 = -10. Let v be (-2)/s*(-84)/(-6). Factor -7*y**4 + 10 + y**4 - 12*y**2 - 1 - v + 16*y**3.
-2*(y - 1)**3*(3*y + 1)
Let 3/4*l**2 - 954*l + 303372 = 0. Calculate l.
636
Let z = -55 + 58. Suppose 2*m - 5 = -5*r, z*m - 4*r - 75 = -10. Factor -18*t**2 + 4*t**4 + t**4 - m*t**3 + 24 + 12*t - 3*t**4 - 5*t**4.
-3*(t - 1)*(t + 2)**3
Let z(q) be the second derivative of q**6/135 + 2*q**5/45 - 13*q**4/54 - 40*q**3/27 + 16*q**2/3 + 45*q + 10. Factor z(m).
2*(m - 3)*(m - 1)*(m + 4)**2/9
Factor 39/4*c**2 - 33/4*c + 9/4*c**3 - 15/4.
3*(c - 1)*(c + 5)*(3*c + 1)/4
Let y(h) = 54*h**2 - 13 + 182*h + 2 - 102*h. Let f(o) = 134*o**2 + 200*o - 28. Let s(k) = 5*f(k) - 12*y(k). Determine r, given that s(r) = 0.
-2, 2/11
Let 4*w**3 - 44/5*w - 26/5*w**2 + 0 + 2/5*w**4 = 0. What is w?
-11, -1, 0, 2
Let s(j) be the first derivative of 4*j**3/15 - 12*j**2 + 180*j + 5222. Find l such that s(l) = 0.
15
Factor -16*o**3 + 139/2*o**2 + 36 - 1/2*o**4 - 89*o.
-(o - 2)*(o - 1)**2*(o + 36)/2
Solve -2/11*j**4 - 8/11*j**3 + 86/11*j**2 - 52/11*j - 144/11 = 0 for j.
-9, -1, 2, 4
Factor -1235*a**3 + 84653*a**2 - 8*a**4 - 71133*a**2 - 26*a**4 + 5*a**5 - 16*a**4.
5*a**2*(a - 13)**2*(a + 16)
Let l(i) = -3*i**2 + 14*i - 5. Let f(r) = -2*r + 20 - 2*r + r**2 - 12 - r - 6. Let q = -23 - -12. Let x(m) = q*f(m) - 4*l(m). Determine v so that x(v) = 0.
-1, 2
Suppose i + 1 - 24 = 3*s, 2*s = -10. Find b, given that -233*b**4 + 3*b**5 + 237*b**4 + i*b**3 - 7*b**5 = 0.
-1, 0, 2
Let d(p) = 4*p**3 + 12*p**2 - 16*p + 2. Let r(n) = 13*n**3 + 34*n**2 - 47*n + 7. Let h(v) = -7*d(v) + 2*r(v). Find f such that h(f) = 0.
-9, 0, 1
Let t(p) be the second derivative of -2*p**5/55 - 85*p**4/66 + 763*p**3/33 + 196*p**2/11 - 783*p. Solve t(u) = 0.
-28, -1/4, 7
Let w(q) be the third derivative of q**5/12 + 535*q**4/24 + 265*q**3/3 - 250*q**2 + 5*q. Factor w(j).
5*(j + 1)*(j + 106)
Let 1080 - 91*z**2 + 25*z**2 + 19*z**2 + 16*z**2 + 27*z**2 + 532*z = 0. Calculate z.
-2, 135
Let u(p) be the first derivative of p**6/30 + 4*p**5/25 - 39*p**4/10 + 72*p**3/5 - 27*p**2/10 - 324*p/5 - 783. Let u(b) = 0. Calculate b.
-12, -1, 3
Let b(k) be the first derivative of -k**4/2 + 8*k**3/3 + 563. Find t, given that b(t) = 0.
0, 4
Let j(f) = -f**2 + 25*f + 8. Suppose -4*l + 50 = -50. Let q be j(l). Factor -4 - 4 - 5*t**2 - q*t + t**2 + 2*t**2.
-2*(t + 2)**2
Let i = 33283/2394 + -264/19. Let u(c) be the second derivative of 4/63*c**3 + 4/21*c**2 + 0 - 28*c + i*c**4. Factor u(f).
2*(f + 2)**2/21
Let b(t) be the second derivative of 2*t**4/15 - 76*t**3/5 + 3249*t**2/5 + 17*t. Let b(z) = 0. Calculate z.
57/2
Let f(d) be the third derivative of 65*d**2 + 31/168*d**4 + 0*d + 5/7*d**3 + 1/42*d**5 + 0 + 1/840*d**6. What is u in f(u) = 0?
-5, -3, -2
Let d(c) = 2*c**3 + c**2 - 4*c. Let g(v) = -3*v**3 + 24*v**2 + 18*v - 144. Let j(p) = 3*d(p) + g(p). Solve j(r) = 0.
-8, -3, 2
Let f = -2584 - -10413/4. Let i = -369/20 + f. Factor -i*p**2 - 12/5 + 16/5*p.
-4*(p - 3)*(p - 1)/5
Factor -3668 - 162*f - 2*f**3 - 11*f**2 + 47*f**2 + 1864 + 2020.
-2*(f - 12)*(f - 3)**2
Determine f, given that 1622/7*f + 3252/7 - 2/7*f**2 = 0.
-2, 813
Suppose 3*c = -3*j - 3, c + 19 = j - 2*c. Suppose 0*z + 4*r = z - 3, -3*z - r = -48. Solve -4*d - 5*d - 9*d**j + 6*d**2 - 6 + 6*d**3 + 3*d**5 - 6 + z = 0 for d.
-1, 1
Let a(j) be the second derivative of -j**5/90 - j**4/27 + 16*j**3/9 + 184*j. Factor a(m).
-2*m*(m - 6)*(m + 8)/9
Let f be 20/9 - (-216)/(-243). Let q(m) be the third derivative of f*m**3 + 22*m**2 + 0*m**4 - 1/60*m**6 - 1/10*m**5 + 0*m + 0. Factor q(x).
-2*(x - 1)*(x + 2)**2
Let b be -1 - (-253)/231 - (-13 - 93/(-315)). Determine x so that 4*x**4 - 64/5*x**2 + 192/5*x - 48/5*x**3 - b = 0.
-2, 2/5, 2
Let i be 1/(1 - 39/42)*(-6 + (-220)/(-35)). Solve 2/3*m**5 - 2/3*m - 4/3*m**i + 0 + 0*m**3 + 4/3*m**2 = 0.
-1, 0, 1
Let 109/8*p + 1/8*p**2 - 55/4 = 0. What is p?
-110, 1
Let q = 31835 - 162628/5. Let z = q - -697. Solve 2/5*k**2 + 128/5 + z*k = 0.
-8
Let y(g) be the second derivative of g**7/840 + 3*g**6/160 + g**5