(n - 1)*(n + 1)*(5*n + 2)
Let k be 1716/7524 - (21/(-19) + 1). Let g(l) be the second derivative of -10*l - 1/10*l**5 + 0 + 2*l**2 - k*l**4 + 1/3*l**3. Factor g(b).
-2*(b - 1)*(b + 1)*(b + 2)
Let s be ((-15)/12)/(7/(-28)). Suppose -2*u - 23 = -5*j, -11 = -s*j + u - 2*u. Suppose 4/9 + 2/9*m**4 - 14/9*m - 10/9*m**j + 2*m**2 = 0. Calculate m.
1, 2
Factor -7*v**3 + 3*v - 7*v - 4 + 8*v**3 + 0 + v**2.
(v - 2)*(v + 1)*(v + 2)
Let i(p) be the first derivative of -p**4/26 + 62*p**3/39 - 24*p**2 + 2016*p/13 - 223. Suppose i(g) = 0. Calculate g.
7, 12
Let g(n) = 4*n**2 + 250*n - 10. Let k(u) = -u**2 - 84*u + 3. Let z(h) = -6*g(h) - 20*k(h). Let z(c) = 0. Calculate c.
0, 45
Let t(n) be the third derivative of -10/9*n**3 + 0 + 1/36*n**5 - n**2 + 0*n - 5/24*n**4. Find s, given that t(s) = 0.
-1, 4
Suppose 0 = 4*q + 3*k - 41, -q + 5*k + 5 = 4*k. Let a be (-416)/(-546)*6/q. Determine p, given that -2/7*p + 2/7*p**2 - a = 0.
-1, 2
Let f(i) = -2*i**4 + 10*i**3 + 64*i**2 + 142*i + 80. Let p(d) = 2*d**2 + d. Let t(g) = f(g) + 10*p(g). Factor t(c).
-2*(c - 10)*(c + 1)*(c + 2)**2
Suppose 11*k - 10*k - 2 = 0. Find w such that 8*w**5 - 16*w**2 + w**5 + 21*w**4 + 4*w**k = 0.
-2, -1, 0, 2/3
Let x(g) be the first derivative of g**3 - 8*g**2 - 19*g - 15. Let h(c) = 15*c**2 - 81*c - 96. Let i(z) = -4*h(z) + 21*x(z). Factor i(y).
3*(y - 5)*(y + 1)
Let k be (20 + (-1944)/90)/(8/(-10)). What is d in -2/3*d**k - 1/3*d**5 + 0 + 2/3*d**4 + 1/3*d + 0*d**3 = 0?
-1, 0, 1
Let g(c) be the second derivative of -c**5/480 + c**4/192 + c**3/8 - 35*c**2/2 - 20*c + 1. Let b(j) be the first derivative of g(j). Solve b(s) = 0.
-2, 3
Let k(g) be the second derivative of -g**6/1440 + g**5/480 + g**4/48 + 7*g**3/6 + 13*g. Let f(n) be the second derivative of k(n). Factor f(r).
-(r - 2)*(r + 1)/4
Let g(p) = -4*p**3 - 23*p**2 + 47*p - 9. Let v(s) = -6*s**3 - 24*s**2 + 46*s - 12. Let u(q) = 4*g(q) - 3*v(q). Factor u(x).
2*x*(x - 5)**2
Let a(m) be the second derivative of -1/90*m**5 + 0 - 1/54*m**4 + 0*m**3 + 0*m**2 + 3*m. Factor a(p).
-2*p**2*(p + 1)/9
Factor 4*b**2 - 44 + 0*b**2 + 28*b - 11 + 79.
4*(b + 1)*(b + 6)
Let y = 1084/5 - 2153/10. Let -y*l**2 + 0 + 3/2*l**4 - 3/4*l**3 + 3/4*l = 0. What is l?
-1, 0, 1/2, 1
Let i = 22/307 - -97231/1228. Let g = i - 79. Solve 5/4*f + g*f**2 - 1/4*f**3 + 3/4 = 0 for f.
-1, 3
Let q(j) be the third derivative of -j**7/1260 + 43*j**6/360 - 587*j**5/120 - 473*j**4/18 - 484*j**3/9 - 6*j**2 - 4*j. Determine r so that q(r) = 0.
-1, 44
Let q(i) = -2*i**4 - 9*i**3 - 3*i**2 - 3*i + 3. Let d(v) = 6*v**2 + 2*v + 2*v**2 - 3 - 5 + 26*v**3 + 6*v**4 + 6*v. Let o(w) = 3*d(w) + 8*q(w). Factor o(a).
2*a**3*(a + 3)
Let j = 5716/24985 - 24/1315. Find n such that 0*n**2 - 6/19*n + j + 2/19*n**3 = 0.
-2, 1
Suppose -9*l + 2 = -8*l. Determine c so that 2*c + c**2 - 2*c**3 + 0*c**2 - 4*c**l + c**2 + 2 = 0.
-1, 1
Let h(d) be the second derivative of 2*d**5/55 - 13*d**4/66 - 37*d**3/33 + 10*d**2/11 + d - 1. Factor h(u).
2*(u - 5)*(u + 2)*(4*u - 1)/11
Let a be (12/30)/(1/10). Suppose 0 = -v - v + a. Determine t so that 0*t**v - t**2 - 1 + 2*t + 1 = 0.
0, 2
Suppose 0 = 4*q - 2*g - 12, -3*q + 16 = -7*g + 2*g. Suppose 3*o + 36*o**3 + 37*o**3 + q - 74*o**3 = 0. Calculate o.
-1, 2
Let t(h) = -3*h - 36*h**3 + 35*h**3 - 1 + 4*h + h**2. Let s(b) = 8*b**3 - 20*b**2 + 8*b + 36. Let u(z) = s(z) + 12*t(z). Suppose u(v) = 0. Calculate v.
-3, -1, 2
Let s(z) be the third derivative of -z**6/48 - z**5/12 + 25*z**4/48 + 5*z**3/2 + 60*z**2 - 2*z. Factor s(n).
-5*(n - 2)*(n + 1)*(n + 3)/2
Let o(y) = -y**2 - 27*y + 94. Let q be o(-30). Determine v, given that -11*v**5 - 7*v**5 + 23*v**5 - 15 + 5*v**q + 10*v**2 + 25*v - 30*v**3 = 0.
-3, -1, 1
Suppose 59*b - 64*b + 220 = 0. Factor 24*m**4 + m**2 + 8*m**2 + 8*m**3 + 7*m**2 - 4*m**5 - b*m**3.
-4*m**2*(m - 4)*(m - 1)**2
Let p(f) be the first derivative of -16/7*f - 16/7*f**2 - 20 - 4/7*f**3 + 2/7*f**4 + 4/35*f**5. Suppose p(m) = 0. Calculate m.
-2, -1, 2
Let n(l) be the first derivative of -1/24*l**4 - 1/60*l**5 - l**2 + 1/6*l**3 + 1/120*l**6 + 0*l - 5. Let z(o) be the second derivative of n(o). Factor z(v).
(v - 1)**2*(v + 1)
Let c be 1*(4/(-3))/((-44)/66). Solve -4/5*k**c - 17/5*k - 4/5 = 0.
-4, -1/4
Let i(k) = k**2 + 2*k - 1. Let c(v) = 7*v**2 - 46*v - 122. Let g(h) = c(h) - 2*i(h). Suppose g(o) = 0. What is o?
-2, 12
Let h(b) = -4*b**4 + 212*b**3 + 208*b**2 - 8*b - 8. Let x(i) = -i**4 + 71*i**3 + 69*i**2 - 3*i - 3. Let q(r) = -3*h(r) + 8*x(r). Find c, given that q(c) = 0.
-1, 0, 18
Suppose f - 4*j + 1 - 3 = 0, -4*f + j = -8. Let -6*x + 36*x**4 - 3*x**f + 159*x**3 + 3*x**4 - 132*x**3 + 15*x**5 = 0. What is x?
-1, 0, 2/5
Let f(h) = 42*h - 332. Let y be f(8). Let u(i) be the third derivative of 1/27*i**3 + 1/54*i**y + 1/270*i**5 - 2*i**2 + 0*i + 0. Determine m so that u(m) = 0.
-1
Suppose -5*c + 40 = -0*c. Suppose -5*r + 9*r - c = 0. Find w such that 2*w**3 + 2*w**2 - 8*w**r - 3 + 1 + 6*w = 0.
1
Let g(v) = 8*v - 2. Let k be g(-2). Let q be ((-3)/k)/((-1)/(-6)). Factor 1 - 4*l**4 + 5*l**4 + 2*l**3 - q + l**2.
l**2*(l + 1)**2
Factor -28/5 + 18/5*d - 2/5*d**2.
-2*(d - 7)*(d - 2)/5
Let d(s) = 14*s + 72. Let r be d(-5). Let b = -5 - -8. Factor 2/3*y**b + 8/3*y + 0 - 8/3*y**r.
2*y*(y - 2)**2/3
Suppose -5*a + 2*a + 9 = 0. Solve 454*f + 4*f**a - 179*f**2 + 314*f - 2048 + 83*f**2 = 0 for f.
8
Solve 26/7*c**2 + 8/7*c + 30/7*c**3 + 2/7*c**5 + 0 + 2*c**4 = 0.
-4, -1, 0
Let t = 71 - 66. Suppose -4*k**t - 101*k**3 + 46*k**3 + 12*k**4 + 47*k**3 = 0. Calculate k.
0, 1, 2
Let g(o) be the second derivative of o**6/60 - 3*o**5/10 - o**4/8 + 17*o**3/6 + 6*o**2 + 102*o. What is a in g(a) = 0?
-1, 2, 12
Let j(u) be the first derivative of 0*u**2 + 0*u**3 + 0*u + 1/12*u**4 + 0*u**5 - 11 - 1/18*u**6. Suppose j(z) = 0. Calculate z.
-1, 0, 1
Suppose 1 + 3 = 2*w. Suppose 0*f = -w*f + 4. Factor 1 + 5*m**2 - 3*m**f + 2*m - 3*m**2 + 2*m**2.
(m + 1)**2
Suppose 3*z = -3*u - 9, -3*u + 3*z + 25 = 2*u. Factor -18 + 3*b**u - 12 + 3*b**3 + 30.
3*b**2*(b + 1)
Let u(v) = 3*v**3 - 36*v**2 - 75*v + 98. Let f(n) = 5*n**3 - 55*n**2 - 113*n + 147. Let x(h) = 5*f(h) - 8*u(h). Factor x(w).
(w - 1)*(w + 7)**2
Suppose 0 = -4*w + 3*z + 24, 42*w + 4*z = 37*w - 1. Let q(i) be the third derivative of 0*i + 0 - 9*i**2 - 1/90*i**5 - 5/36*i**4 - 4/9*i**w. Solve q(t) = 0.
-4, -1
Let p be ((-1510)/90 - -3 - -14)/((-4)/(-3)). Determine q, given that 27/2 - 3*q + p*q**2 = 0.
9
Let t(f) be the first derivative of f**6/360 - f**5/10 + 3*f**4/2 - 6*f**3 - 30. Let w(h) be the third derivative of t(h). Let w(b) = 0. Calculate b.
6
Let l(f) be the first derivative of f**7/168 - f**6/72 - f**5/4 + 4*f**3/3 + f + 49. Let x(i) be the third derivative of l(i). Factor x(y).
5*y*(y - 3)*(y + 2)
Let i be (-5 - -1)/(-1 - 1). Let v = -68 + 73. Factor -25*s**i - 19*s**3 + 33*s**3 + s + v*s.
s*(2*s - 3)*(7*s - 2)
Suppose 2*b + 0*a + 5*a = 5, 3*a + 15 = 0. Let l = 68 + b. What is o in 3 - 6 - 80*o**4 - 6*o + 6*o**3 + l*o**4 = 0?
-1, 1
Let j = 1/2277 - -18191/56925. Let k(r) be the first derivative of 0*r**2 + j*r**5 + 4/15*r**3 - 1/2*r**4 + 0*r - 1/15*r**6 + 11. What is x in k(x) = 0?
0, 1, 2
Let f(u) = 21*u**4 - 3*u**3 - 43*u**2 - 58*u - 13. Let o(v) = -10*v**4 + 2*v**3 + 22*v**2 + 28*v + 6. Let y(q) = 6*f(q) + 13*o(q). Factor y(d).
-4*d*(d - 4)*(d + 1)**2
Let x(r) = -5*r**5 - 72*r**3 + 110*r**2 - 69*r + 9. Let z(w) = -w**5 - 18*w**3 + 28*w**2 - 17*w + 2. Let t(n) = 2*x(n) - 9*z(n). Factor t(k).
-k*(k - 3)*(k - 1)**2*(k + 5)
Factor 111*d**2 - 22*d**3 - 45*d**2 - 162 - 74*d + 190 + 2*d**4.
2*(d - 7)*(d - 2)*(d - 1)**2
Let o(g) = -23*g**4 - 97*g**3 + 32*g**2 - 2*g - 4. Let y(q) = 116*q**4 + 484*q**3 - 161*q**2 + 11*q + 22. Let n(j) = -11*o(j) - 2*y(j). Factor n(b).
3*b**2*(b + 5)*(7*b - 2)
Suppose -5*k + 0*q = -3*q - 4, -2*k - q + 6 = 0. Suppose -4*g**k - 20 + 21*g - 3*g + 6*g = 0. What is g?
1, 5
Let v(h) be the first derivative of 0*h**2 + 25 - 2/45*h**3 + 8/15*h. Factor v(y).
-2*(y - 2)*(y + 2)/15
Let d(u) be the third derivative of u**5/105 + u**4/42 - 4*u**3/7 - 2*u**2 - 202. Let d(s) = 0. What is s?
-3, 2
Let p = -26720594 + 60361820860/2259. Let j = 2/251 - p. Factor j*y**3 + 2/9*y**2 + 2/9*y**4 + 0 + 0*y.
2*y**2*(y + 1)**2/9
Factor 46*u**3 - 190*u**5 - 194*u**5 - 5*u**2 + 382*u**5 + 29*u**2 + 20*u**4.
-2*u**2*(u - 12)*(u +