(k - 2)*(k - 1)*(k + 1)/2
Let w = -3 + 3. Let a(s) = s**2 - s + 4. Let f be a(w). Determine n, given that -14*n + 27*n + 3*n**f + n**3 + n**5 - 15*n - 3*n**2 = 0.
-2, -1, 0, 1
Let q(a) be the second derivative of a**4/3 - 22*a**3/3 + 56*a**2 - 23*a - 1. Solve q(v) = 0.
4, 7
Factor 7*u**2 - 239*u - 5*u**2 - 48 + 229*u.
2*(u - 8)*(u + 3)
Let q(f) be the second derivative of 0 + 3/4*f**2 - 7/12*f**3 - 7*f + 1/240*f**6 + 23/96*f**4 - 1/20*f**5. Factor q(u).
(u - 3)*(u - 2)**2*(u - 1)/8
Find y such that 4*y**2 + 0 + 0*y + 2/3*y**4 - 10/3*y**3 = 0.
0, 2, 3
Suppose q - 3*q = -24. Suppose -6*v = -0*v - q. Factor -3 - z - 19*z**2 + 3 + 18*z**v + 2*z**3.
z*(z - 1)*(2*z + 1)
Let k(h) be the second derivative of 3*h**5/20 - 13*h**4/4 + 20*h**3 + 10*h - 4. Factor k(n).
3*n*(n - 8)*(n - 5)
Let a(z) be the first derivative of z**7/28 - z**6/10 + z**4/4 - z**3/4 + 4*z - 4. Let x(w) be the first derivative of a(w). Factor x(h).
3*h*(h - 1)**3*(h + 1)/2
Solve 13*b**3 - 15*b**2 - 2*b - 5*b**3 + 13*b**2 - 6*b**3 + 2 = 0 for b.
-1, 1
Solve 9*y**3 + 8*y + 17*y**3 - 24*y**2 - 29*y**5 - 12*y**4 + 31*y**5 = 0.
0, 1, 2
Let p(v) be the second derivative of -v**5/160 + 5*v**4/96 + v**3/2 + 17*v. What is n in p(n) = 0?
-3, 0, 8
Let c(i) be the second derivative of i**5/90 + i**4/12 - 4*i**2 - 31*i. Let h(x) be the first derivative of c(x). Let h(j) = 0. What is j?
-3, 0
Let u(l) be the third derivative of -1/360*l**5 + 0*l + 1/4*l**3 + 0 + 14*l**2 - 1/18*l**4. Factor u(d).
-(d - 1)*(d + 9)/6
Suppose -22*v + 95*v = -39*v + 560. Determine o, given that 3/5*o**v - 3/5 - 9/5*o - 6/5*o**2 + 6/5*o**3 + 9/5*o**4 = 0.
-1, 1
Let a(f) be the third derivative of 1/192*f**4 + 0 + 0*f**3 + 0*f - 1/960*f**6 + 0*f**5 - 2*f**2. Find x, given that a(x) = 0.
-1, 0, 1
Let y(i) be the second derivative of 5*i**7/42 - i**6/2 - 5*i**5/4 + 45*i**4/4 - 80*i**3/3 + 30*i**2 - 6*i + 2. Determine d, given that y(d) = 0.
-3, 1, 2
What is r in -8*r + 1/7*r**2 + 112 = 0?
28
Let p = -2 + 5. Suppose 3 = 3*n - p. Factor -16*d**4 - d + 28*d**3 - 6*d**2 + 2*d**2 - 4*d**n - 3*d.
-4*d*(d - 1)**2*(4*d + 1)
Let i(t) be the second derivative of -t**5/10 + 13*t**4/3 - 64*t**3 + 288*t**2 - 5*t. Solve i(n) = 0.
2, 12
Let c(m) be the third derivative of -m**11/138600 - m**10/37800 - m**9/37800 - m**5/60 - m**2. Let k(j) be the third derivative of c(j). Solve k(w) = 0.
-1, -2/3, 0
Let m be 12/(-42) + 690/14. What is w in 27*w**2 - m*w**2 - 30*w + 27*w**2 = 0?
0, 6
Let u be (-135)/10*(3 - (-12)/9). Let h = u - -59. Factor m - 1/2 - m**3 + h*m**4 + 0*m**2.
(m - 1)**3*(m + 1)/2
Let f(q) = -q**3 - 4*q**2 + 4*q - 3. Let i be f(-4). Let c = -7 - i. What is m in 3*m - c*m**3 + 10*m**3 - 4 + 4*m**2 - m = 0?
-1, 1, 2
Let q(z) = -2*z**2 + 78*z + 176. Let u(m) = -25*m**2 + 1015*m + 2290. Let v(i) = -40*q(i) + 3*u(i). What is n in v(n) = 0?
-2, 17
Suppose -3*q + 21 = -3*f, -4*q + 4*f + 22 = -3*q. Solve 2*b**3 + 16*b**2 - 4*b**q - 5*b**3 - 35*b + 23*b = 0.
0, 2
Suppose 2*v = 2*k, -4*v = -2*k - k - 2. Solve 2*n - 4 + 8 - 2*n**k - 4*n = 0.
-2, 1
Suppose -4*j - 4*w + 21 = 5, 0 = j - 5*w + 2. Factor -5*a**3 + 20*a**2 - 5*a - 13*a**3 + j*a**3.
-5*a*(a - 1)*(3*a - 1)
Let w(g) be the second derivative of 28*g + 1/4*g**4 + 0 + 24*g**2 - 4*g**3. Factor w(s).
3*(s - 4)**2
Let p(n) = -17*n**2 + 11*n + 2. Let m(u) = 9*u**2 - 6*u - 1. Let t(x) = 11*m(x) + 6*p(x). Let c(f) = 25*f**2 + f - 9. Let r(s) = 6*c(s) + 51*t(s). Factor r(j).
-3*(j - 1)**2
Let u be ((-42)/36)/7*-2*0. Let v(b) be the third derivative of 1/660*b**6 - 1/33*b**4 + 0*b**5 + 0 + u*b**3 + 0*b + 5*b**2. Let v(p) = 0. Calculate p.
-2, 0, 2
Solve 6*m**2 + 0*m**2 + 9*m**2 - 12*m**2 = 0 for m.
0
Let j(h) be the second derivative of -5/4*h**4 - 70/3*h**3 + 0 + 50*h**2 + 18*h. Let j(l) = 0. Calculate l.
-10, 2/3
Let i(x) = x**2 + x - 3. Let o be i(-3). Suppose -15 = -8*m + o*m. Suppose -2*r**2 - r**4 + r - 4*r**2 + m*r**3 + 3*r**2 = 0. Calculate r.
0, 1
Let f(i) be the first derivative of i**6/165 + i**5/110 - 33*i + 1. Let x(o) be the first derivative of f(o). Factor x(y).
2*y**3*(y + 1)/11
Let v(j) be the second derivative of j**6/30 + 79*j**5/180 + 11*j**4/6 + 16*j**3/9 - 16*j**2/9 + 7*j - 5. Solve v(q) = 0 for q.
-4, -1, 2/9
Suppose 4*n = 72 - 48. Let p(m) be the third derivative of 0 + 0*m**3 - 1/480*m**n - 1/120*m**5 - 1/96*m**4 + 2*m**2 + 0*m. Factor p(v).
-v*(v + 1)**2/4
Let y(q) be the first derivative of -1/7*q**2 - 14 + 1/14*q**4 + 1/21*q**3 - 1/35*q**5 + 0*q. Suppose y(u) = 0. What is u?
-1, 0, 1, 2
Let m(r) be the first derivative of -2/15*r**3 + 3/5*r**2 - 31 + 8/5*r. Find w, given that m(w) = 0.
-1, 4
Let p be ((-12)/9)/(8/(-36)). Suppose -f - 9 = 3*y, 0 = -f + 3*y + y + 26. Factor p - f + 16*r**2 + 4*r**3 + 16*r.
4*r*(r + 2)**2
Let m(f) = -2 + 2 + 7*f - 6*f + 4. Let j be m(-2). Factor 0 + 1/5*n**3 + 9/5*n**5 + 0*n**j - 6/5*n**4 + 0*n.
n**3*(3*n - 1)**2/5
Let n(d) = d**4 + d. Let q(l) = l**2 + l. Let r(b) = -b**2 - 11*b + 4. Let j be r(-12). Let k = 6 + j. Let z(p) = k*q(p) + 2*n(p). Factor z(t).
2*t**2*(t - 1)*(t + 1)
Let f(o) = 26*o**3 + 795*o**2 - 2468*o + 1658. Let r(y) = -9*y**3 - 265*y**2 + 822*y - 552. Let p(h) = -4*f(h) - 11*r(h). Factor p(s).
-5*(s - 2)*(s - 1)*(s + 56)
What is f in 4*f**5 + 149*f**4 - 298*f**4 - f**2 - 3*f**5 - f**3 + 150*f**4 = 0?
-1, 0, 1
Let z = 3151/2 + -1575. Factor 5*i + 25/2 + z*i**2.
(i + 5)**2/2
Let b(w) be the third derivative of 0*w**4 - 1/210*w**7 - 1/6*w**3 + 0 + 38*w**2 + 1/30*w**5 + 0*w**6 + 0*w. Let b(t) = 0. Calculate t.
-1, 1
Let c(s) = -2*s**2 + s + 2. Let z(k) = 13*k**2 + 876*k + 38712. Let t(h) = 4*c(h) + z(h). Solve t(d) = 0 for d.
-88
Let u(i) be the third derivative of i**7/945 + 13*i**6/270 + 47*i**5/90 - 91*i**4/27 + 196*i**3/27 + 549*i**2. Factor u(d).
2*(d - 1)**2*(d + 14)**2/9
Let o(g) be the first derivative of -5*g**3/3 - 60*g**2 - 115*g + 158. Factor o(q).
-5*(q + 1)*(q + 23)
Find q such that 26/5*q + 8/5 + 6/5*q**2 = 0.
-4, -1/3
Let w = 74/3 - 24. Let y = 6/125 + 232/375. Factor -y*p**3 - 4/3*p**2 + w*p + 4/3.
-2*(p - 1)*(p + 1)*(p + 2)/3
Let p(t) be the first derivative of -t**3/3 - 7*t**2/2 + 8*t + 219. Factor p(r).
-(r - 1)*(r + 8)
Factor -3/7*m**3 + 0 - 9/7*m + 12/7*m**2.
-3*m*(m - 3)*(m - 1)/7
Let m(w) = 6*w**3 - 2*w**2 - 6*w - 1. Let b be m(-2). Let k be ((147/b - -2) + 1)*-3. Factor -1/5 - k*n - 4/5*n**2.
-(2*n + 1)**2/5
Let c(p) = p**4 + 3*p**3 + p**2 - p. Let s(r) = -2*r**2 - 5*r**3 + 0*r**4 - r**4 - 75*r + 77*r. Let n(x) = -15*c(x) - 6*s(x). Let n(l) = 0. Calculate l.
-1, 0, 1/3
Suppose 5*t = -4*k + 25, -5*t - 5 = -6*t. Let w be (6/((-45)/(-10) + -6))/(-2). Factor 1/4*b**w - 1/4*b**4 - 1/4*b**3 + 0*b + 1/4*b**5 + k.
b**2*(b - 1)**2*(b + 1)/4
Let z(s) be the first derivative of -s**4/54 + s**2/9 + 11*s + 17. Let p(o) be the first derivative of z(o). Solve p(y) = 0.
-1, 1
Let -88 - 10*i - i**2 + 2*i - 2*i - 32 + 6*i**2 = 0. What is i?
-4, 6
Let o(v) = -2*v**2 - 8*v + 3. Let t be o(0). Factor -1/3*g**5 + 8/3*g + 4/3*g**2 - 5/3*g**4 - 2*g**t + 0.
-g*(g - 1)*(g + 2)**3/3
Let g(f) be the third derivative of f**5/20 + 13*f**4/2 + 169*f**2. Factor g(j).
3*j*(j + 52)
Let f = -70 + 75. Let r(u) = -u**3 + u**2 - u + 1. Let c(i) = 3*i**3 - 6*i**2 + 2*i - 2. Let g(p) = f*c(p) + 10*r(p). Find v, given that g(v) = 0.
0, 4
Let g(p) be the third derivative of -p**6/96 + 17*p**5/48 - 155*p**4/96 + 25*p**3/8 + 36*p**2. Factor g(w).
-5*(w - 15)*(w - 1)**2/4
Let s(t) = -5*t**2 + 215*t - 6. Let h(i) = 85*i**2 - 3655*i + 105. Let c(r) = 2*h(r) + 35*s(r). Suppose c(f) = 0. What is f?
0, 43
Determine s, given that -8/3 - 8*s + 10*s**2 - 8/3*s**3 = 0.
-1/4, 2
Let t(d) be the third derivative of -1/20*d**5 + 0*d + 10*d**2 + 0 + 0*d**3 + 3/8*d**4. Let t(l) = 0. Calculate l.
0, 3
Let a(y) be the second derivative of -y**8/2240 + y**6/240 + 13*y**4/12 - 9*y. Let d(t) be the third derivative of a(t). Determine i, given that d(i) = 0.
-1, 0, 1
Let k(s) be the first derivative of s**3 + 11*s**2/2 - 1. Let m(o) = -2*o**2 - 7*o. Let c = -89 + 97. Let y(p) = c*m(p) + 5*k(p). Factor y(a).
-a*(a + 1)
Factor 57/5*a**3 + 48/5*a - 21/5*a**4 + 3/5*a**5 - 12/5 - 15*a**2.
3*(a - 2)**2*(a - 1)**3/5
Suppose 27/5 - 3/5*v**4 - 24/5*v**2 - 18/5*v**3 + 18/5*v = 0. What is v?
-3, -1, 1
Factor -33*s - 74*s - 2*s**3 - 2*s**3 - 100 + 47*s + 36*s**2