*n**2.
2*(n - 1)*(n + 75)/3
Let l(c) = -2*c**3 + c**2. Let b(t) = -7*t**3 + 10*t**2 + 11*t - 12. Let i(j) = b(j) + 2*l(j). Find d, given that i(d) = 0.
-1, 1, 12/11
Let u(r) be the third derivative of 0*r**7 + 0*r + 0*r**3 + 1/30*r**4 + 0*r**5 + 0 - 1/120*r**6 + 10*r**2 + 1/1680*r**8. Let u(f) = 0. What is f?
-2, -1, 0, 1, 2
Let r be 6*-1*(27 + 18722/(-690))*(-5)/(-6). Solve 46/3 - r*t + 2/3*t**3 - 46/3*t**2 = 0 for t.
-1, 1, 23
Let k(y) be the first derivative of -y**3/8 - 4431*y**2/8 - 6544587*y/8 - 675. Factor k(j).
-3*(j + 1477)**2/8
Let s(r) be the first derivative of 5*r**3 - 5*r**2 + 0*r + 96 - 5/4*r**4. Factor s(b).
-5*b*(b - 2)*(b - 1)
Let b(o) be the second derivative of o**7/42 - 16*o**6/15 - 17*o**5/5 - o**4/6 + 67*o**3/6 + 17*o**2 + 580*o. Suppose b(n) = 0. What is n?
-1, 1, 34
Let f = -10729 + 10731. Let w(y) be the first derivative of 4/85*y**5 + 0*y + 0*y**3 - 1/17*y**f + 26 + 3/34*y**4. Factor w(x).
2*x*(x + 1)**2*(2*x - 1)/17
Suppose -3287*y - 3347*y + 6574*y = -6720. Factor y - 4/7*d**3 - 108/7*d**2 - 96*d.
-4*(d - 1)*(d + 14)**2/7
Let h(q) = 31*q**2 - 125*q + 28. Let b be h(4). Let o(u) be the first derivative of -b - 2*u**2 + 4*u + 1/3*u**3. Factor o(g).
(g - 2)**2
Let c = -943 + 781. Let q be (12/c)/(5/30*-1). Factor 4/9*x + q*x**2 + 0 + 1/9*x**3.
x*(x + 2)**2/9
Let y(r) be the second derivative of -r**7/840 - r**6/15 - 8*r**5/5 - 3*r**4/2 - 3*r**2/2 + 15*r - 1. Let q(t) be the third derivative of y(t). Factor q(n).
-3*(n + 8)**2
Let o(g) be the second derivative of 2 - 7/9*g**3 + 55*g + 0*g**2 - 1/72*g**4. Suppose o(d) = 0. What is d?
-28, 0
Let a be (4/(-6))/(((-23)/138)/((-2)/(-4))). Factor 22/3*g**3 - 35/3*g**a - 2*g**4 + 1/6*g**5 + 17/2*g - 7/3.
(g - 7)*(g - 2)*(g - 1)**3/6
Let f(z) = -z**2 + z + 30. Let t be f(6). Suppose 8*m = 5*m - 4*v + 17, t = 2*m - 2*v - 2. Solve 2*w**m - 153 - 7*w**3 - 15*w**2 + 30*w + 193 = 0 for w.
-4, -1, 2
Let n = -1/84948 + 37165/21237. What is o in 177/4*o - 25/2 - n*o**2 = 0?
2/7, 25
Factor -11461*r - 3*r**2 + 11813*r + 142 + 94.
-(r - 118)*(3*r + 2)
Suppose -34*l + 41*l = -112. Let s = l + 52/3. Let -8*n + 20/3 + s*n**2 = 0. Calculate n.
1, 5
Solve -195*k + 1/5*k**2 + 0 = 0 for k.
0, 975
Let 11*r**2 + 43366*r + 828 + 9*r**2 - 6*r**2 - 46268*r = 0. What is r?
2/7, 207
Let y(z) be the third derivative of z**5/40 + 641*z**4/144 + 71*z**3/18 + 310*z**2. Determine w so that y(w) = 0.
-71, -2/9
Let u(j) be the first derivative of -7*j**6/3 + 2*j**5 + 36*j**4 + 152*j**3/3 + 16*j**2 - 2147. Solve u(n) = 0 for n.
-2, -1, -2/7, 0, 4
Let z(p) be the first derivative of 5*p**3/3 + 395*p**2 + 31205*p + 618. Factor z(g).
5*(g + 79)**2
Let y be 9920/(-13888)*(-42)/15. Factor 3/2*f**3 + 96 - 45/2*f**y + 72*f.
3*(f - 8)**2*(f + 1)/2
Find j, given that -29*j - 289*j**2 - 208*j**2 - 28 + 496*j**2 = 0.
-28, -1
Let g(j) = -4*j**3 + 140*j**2 - 84*j + 84. Let i(m) = 18*m**2 + 2. Let b(v) = g(v) - 6*i(v). Find s such that b(s) = 0.
2, 3
Let a(i) be the third derivative of -1/5*i**6 - 2/105*i**7 - 5/3*i**4 + 0 + 87*i**2 + 0*i - 2*i**3 - 4/5*i**5. Suppose a(o) = 0. Calculate o.
-3, -1
Let o(w) = 2. Let m(q) = -2*q**2. Let c(t) = 11*t**2 + 11*t - 30. Let b(y) = -c(y) - 5*m(y). Let v(h) = -3*b(h) + 6*o(h). What is d in v(d) = 0?
-13, 2
Let w(n) = -7*n**5 + 105*n**4 - 274*n**3 + 180*n**2 - 2*n. Let y(c) = c**5 - 3*c**3 + c. Let b(g) = -w(g) - 2*y(g). Find l such that b(l) = 0.
0, 1, 2, 18
Let v(y) = -2*y**4 + 4. Let m(d) = -8*d**4 + 8*d**3 - 22*d**2 - 60*d + 20. Let k(r) = -2*m(r) + 10*v(r). Let k(a) = 0. Calculate a.
-5, -2, 0, 3
Factor 3/5*v**2 - 897*v + 4482/5.
3*(v - 1494)*(v - 1)/5
Let n(j) be the first derivative of -2*j**3/21 + 83*j**2/7 + 340*j/7 + 7562. Let n(f) = 0. What is f?
-2, 85
Suppose 12*m - 11*m = 1. Let a be (5 - m)*(-2 + (-55)/(-20)). Factor 5*p**3 - 6*p - 4*p**a - 2*p**2 + 3*p.
p*(p - 3)*(p + 1)
Let s be 2/(-22) - (-4669)/12397. Solve -2/7*r**3 + 4/7*r**2 + s*r - 4/7 = 0 for r.
-1, 1, 2
Let q(n) be the second derivative of n**6/45 - 2*n**5/15 + n**4/6 + 217*n - 1. Suppose q(l) = 0. What is l?
0, 1, 3
Let n = 5244 + -36706/7. Let z(t) be the first derivative of -7 + 0*t + 0*t**4 + 6/35*t**5 + 1/14*t**6 - n*t**3 - 3/14*t**2. Factor z(u).
3*u*(u - 1)*(u + 1)**3/7
Let y(c) = 3*c**3 + 3*c**2 - 24*c - 36. Let s(f) = -24*f + f**3 + 2*f**3 - 19*f**2 + 22*f**2 - 36. Let b(q) = -6*s(q) + 7*y(q). Find k such that b(k) = 0.
-2, 3
Let p(z) = 3*z**2 - 3*z + 2. Suppose 0 = 2*b + 5 - 7. Let n be p(b). Determine m so that -3*m**4 + 3*m**n - 7*m + 3*m - 3*m**3 + 7*m = 0.
-1, 0, 1
Let s(c) be the first derivative of -c**6/1260 - 3*c**5/70 - 27*c**4/28 - 101*c**3/3 - 79. Let n(q) be the third derivative of s(q). Factor n(p).
-2*(p + 9)**2/7
Suppose 285/2*u - 55/4*u**2 - 5/4*u**3 - 270 = 0. Calculate u.
-18, 3, 4
Suppose -26*y + 67*y = 29274. Let r be (24/(-45))/((-7)/y). Find k such that 98/5*k**3 - r*k - 434/5*k**2 - 8 = 0.
-2/7, 5
Let t(k) = -2*k**3 - 3*k**2 + 2*k. Let h be t(-3). Let w = h - 15. Suppose -10 + w*n + 14 - 14*n - n**3 + 5*n**2 = 0. Calculate n.
1, 2
Let g(r) be the second derivative of -1/189*r**7 - 193/90*r**5 - 16/3*r**3 - 26/135*r**6 - 2 + 0*r**2 + 61*r - 52/9*r**4. Suppose g(n) = 0. What is n?
-12, -1, 0
Let r(a) be the third derivative of 2*a**7/15 + 17*a**6/15 + 76*a**5/21 + 100*a**4/21 + 2547*a**2. Let r(l) = 0. Calculate l.
-2, -10/7, 0
Let m(h) be the third derivative of h**5/30 - h**4/4 - 418*h**3/3 - 146*h**2 - 5. Let m(i) = 0. What is i?
-19, 22
Determine k so that 764/3*k + 0 + 2*k**3 + 2294/3*k**2 = 0.
-382, -1/3, 0
Determine u, given that -1280*u + 288 + 145 - 160*u**3 + 890*u**2 + 2*u**4 + 122 - 8*u**4 + u**4 = 0.
-37, 1, 3
Let z(j) be the second derivative of 0*j**4 - 4 + 2/75*j**6 + 0*j**2 - 1/105*j**7 + 0*j**5 + 0*j**3 + 10*j. Factor z(p).
-2*p**4*(p - 2)/5
Let r(k) be the first derivative of 0*k + 89 + 2/9*k**3 - 3*k**2. Let r(m) = 0. What is m?
0, 9
Determine j so that 28/3*j - 28/3*j**3 + 2/3*j**2 - 2/3*j**4 + 0 = 0.
-14, -1, 0, 1
Let f(a) be the first derivative of 8/3*a + 25/6*a**2 + 3*a**3 + 1/15*a**5 + 11/12*a**4 - 68. Let f(c) = 0. Calculate c.
-8, -1
Let r(b) = -b**2 - 45*b + 40. Let q(w) = -4*w**2 - 171*w + 160. Let v(o) = 6*q(o) - 22*r(o). Determine x so that v(x) = 0.
-20, 2
Let b(o) = o**2 + 7*o + 3. Let y be b(-7). Let u = -1420 + 1424. Factor -152 - 10*n - 2*n**u + 157 - 3*n**4 + 10*n**y.
-5*(n - 1)**3*(n + 1)
Let r(y) be the first derivative of y**5/45 + 5*y**4/6 - 23*y**3/3 + 18*y**2 - 352. Find x such that r(x) = 0.
-36, 0, 3
Find l, given that -l**2 + l**3 - 80*l + 34*l - 48 - l**2 - 6*l + l**3 = 0.
-4, -1, 6
Let s(a) = 18*a**2 - 97*a + 72. Let y(b) = 93*b**2 - 486*b + 360. Let t(h) = -24*s(h) + 5*y(h). Factor t(q).
3*(q - 2)*(11*q - 12)
Solve 15572*p**4 - 5192*p**4 - 67*p**2 + 120*p - 62*p**2 + 6*p**3 - 5189*p**4 - 5188*p**4 = 0.
-8, 0, 1, 5
Let h(o) be the second derivative of -11*o**7/21 - 124*o**6/15 - 216*o**5/5 - 160*o**4/3 + 512*o**3/3 - 662*o. Find z, given that h(z) = 0.
-4, 0, 8/11
Let o(h) be the second derivative of 12 + 52/7*h**3 + 1/28*h**4 - 9*h + 4056/7*h**2. Factor o(d).
3*(d + 52)**2/7
Suppose -34*x + 616 - 422 = -724. Let p(i) be the third derivative of x*i**2 - 1/240*i**5 - 1/32*i**4 + 0 + 0*i + 1/6*i**3. Solve p(v) = 0 for v.
-4, 1
Let o(h) be the first derivative of -251 - 1/12*h**6 + 0*h + 2/5*h**5 - 3*h**3 + 3/8*h**4 + 0*h**2. Factor o(w).
-w**2*(w - 3)**2*(w + 2)/2
Let q(n) be the third derivative of -4/3*n**3 + 0 + 0*n - 1/30*n**5 - 131*n**2 + 5/12*n**4. Solve q(b) = 0 for b.
1, 4
Suppose 4*i - 6*k = -2*k + 36, -5*i - 5*k + 25 = 0. Let r be 1*(-10)/(-90)*(-1 + i). Factor r*n**2 + 0 + 2/3*n**3 - 2/3*n**4 - 2/3*n.
-2*n*(n - 1)**2*(n + 1)/3
Let y(d) = 3*d**2 - d + 1. Let b be (2 + -4)*((-6)/12 - -1). Let h(v) = -16200*v**2 - 2295*v - 65. Let m(k) = b*h(k) + 15*y(k). Factor m(g).
5*(57*g + 4)**2
Suppose -349 = -4*r + 3*l + 482, -2*l - 1030 = -5*r. Suppose 2*b - r = 560. Determine u so that -u**5 - 382*u + 2*u**4 + b*u - u**3 = 0.
0, 1
Factor 8*d**2 - 310*d + 33*d**2 - 42*d**2.
-d*(d + 310)
Find j such that 4563365/3 + 47045*j + 485*j**2 + 5/3*j**3 = 0.
-97
What is z in -264 - 104*z + 7 - 1007 - 2*z**2 - 88 = 0?
-26
Let h(w) be the second derivative of -w**4/18 - 188*w**3/9 - 8836*w**2/3 + 271*w + 1. Factor h(g).
-2*(g + 94)**2/3
Sup