6*p**4.
p**2*(p - 1)**2*(p + 1)/6
Let v(f) = 15*f + 60. Suppose 3*n + 22 = -4*s, 0 = -3*n - 1 - 5. Let u be v(s). What is y in 1/6*y**5 - 2/3*y**3 + u + 1/2*y + 1/3*y**4 - 1/3*y**2 = 0?
-3, -1, 0, 1
Solve 3/5*w**3 + 1083/5*w**2 + 1074/5*w - 432 = 0.
-360, -2, 1
Let t be ((-30)/1540)/((-15)/220). Factor 6*g - 40/7 - t*g**3 + 0*g**2.
-2*(g - 4)*(g - 1)*(g + 5)/7
Let u = 432671/28 - 61809/4. Let 0 + 32/7*y + u*y**3 + 16/7*y**2 = 0. What is y?
-4, 0
Let i = 3163 + -3161. Let h(f) be the first derivative of -f**i - 4 - 1/6*f**3 + 1/8*f**4 + 2*f. Factor h(j).
(j - 2)*(j - 1)*(j + 2)/2
Let g be -2*4/16*-6. Suppose 3*k = -g*y - 3 + 27, -3*y + 34 = 5*k. Suppose 12*a**2 - 4*a**2 - 7*a**2 - 4*a**2 - a - 3*a**y - a**4 = 0. What is a?
-1, 0
Let g = 3018/11 - 18053/66. Let q(v) be the third derivative of 1/6*v**5 + 0 + 0*v**4 + 0*v - 1/42*v**7 - g*v**3 - 12*v**2 + 0*v**6. Factor q(d).
-5*(d - 1)**2*(d + 1)**2
Let d(w) be the first derivative of -w**6/600 - w**5/40 - w**4/10 + 26*w**3/3 - 2*w - 28. Let m(f) be the third derivative of d(f). Let m(b) = 0. Calculate b.
-4, -1
Let h = -34883/51 + 684. Let l(d) be the second derivative of 4/255*d**6 + 0*d**2 + h*d**3 + 0 + 2/51*d**4 + 1/357*d**7 + 3/85*d**5 + 22*d. Factor l(v).
2*v*(v + 1)**4/17
Let u(v) be the third derivative of -v**6/360 + v**5/180 + v**4/3 + 2*v**3 - v**2 - 995. Find o such that u(o) = 0.
-3, -2, 6
Let c = -333 - 532. Let o = c + 867. Factor o - 13/2*h - 7/2*h**3 + 15/2*h**2 + 1/2*h**4.
(h - 4)*(h - 1)**3/2
Let h(r) = r**2 + 8*r + 8. Let a be h(-3). Let v(u) = -19*u**4 + 10*u**3 + 7*u. Let j(x) = 17*x**4 - 10*x**3 - 6*x. Let t(y) = a*j(y) - 6*v(y). Factor t(n).
-5*n**3*(n - 2)
Let v = -163/31 + 5. Let q = 332/155 - v. Factor -363/5*n**2 - 132/5*n - q.
-3*(11*n + 2)**2/5
What is o in -326*o**3 + 149*o**3 - 2*o**4 - 4*o**2 + 16*o**2 + 179*o**3 = 0?
-2, 0, 3
Let r(d) be the third derivative of -d**6/60 + 224*d**5/5 - 50176*d**4 + 89915392*d**3/3 + d**2 - 211*d. Factor r(v).
-2*(v - 448)**3
Suppose 0 = 111*l - 99*l + 636. Let u be (l/477)/(-2 + 1138/570). Factor u*r**3 - 248*r**2 + 1856/3*r - 4/3*r**4 + 512/3.
-(r - 8)**3*(4*r + 1)/3
Let j = -434577 - -434580. Let s = 25468/7 - 3624. Factor -2/7*o**j + 24/7*o**2 + s - 90/7*o.
-2*(o - 5)**2*(o - 2)/7
Let s be (-14)/(-4)*14016/(-336). Let a = 148 + s. Factor 16/3*k**a - 4*k + 2/3.
2*(2*k - 1)*(4*k - 1)/3
Suppose 5*u - 5 = 0, 21*k + 21 = 17*k + 5*u. Let x be (570/(-63) - k) + 6. Find d such that 0 + 0*d + x*d**3 - 2/7*d**4 - 2/7*d**2 = 0.
0, 1/3, 3
Let a(b) be the third derivative of -1/6*b**3 + b**2 - 1/60*b**5 + 1/12*b**4 + 0 - 35*b. Factor a(l).
-(l - 1)**2
Let f = 11094 + -20779/2. Let l = f + -704. Let 0 + 1/4*j**2 + l*j - 1/4*j**3 = 0. What is j?
-1, 0, 2
Let i(f) be the second derivative of 32*f**5/15 - 2*f**4/9 - f**3/3 + 1178*f. Factor i(j).
2*j*(4*j - 1)*(16*j + 3)/3
Let o(w) be the third derivative of -2*w**7/315 + w**6/15 + w**5/15 - 10*w**4/9 + 8*w**3/3 - 1352*w**2. Suppose o(q) = 0. What is q?
-2, 1, 6
Let c(y) be the second derivative of -y**5/100 + 193*y**4/60 + 98*y**3/5 + 6642*y. Factor c(s).
-s*(s - 196)*(s + 3)/5
Let v = 931 - 928. Let d(t) be the first derivative of -125/3*t**v + 2 - 35/4*t**4 - 40*t**2 + 60*t. Factor d(o).
-5*(o + 2)**2*(7*o - 3)
Let z = 94894 + -94889. Factor 1/5*r**z + 9/5*r**2 + 0*r + 0 + 3*r**3 + 7/5*r**4.
r**2*(r + 1)*(r + 3)**2/5
Let j be (15 - 648/27)*16/(-15). Factor 3/5*o**3 + j + 33/5*o**2 + 78/5*o.
3*(o + 1)*(o + 2)*(o + 8)/5
Let q(h) be the second derivative of 0 - 3/20*h**5 - 9/4*h**4 + 0*h**2 - 10*h**3 + 26*h. Factor q(l).
-3*l*(l + 4)*(l + 5)
Let q = -569 + 573. Find s, given that 10*s**q - 4*s**3 - 6*s**5 - 28*s - 12*s**2 - 2 - 8*s**4 + 10*s + 12*s**4 + 28*s = 0.
-1, 1/3, 1
Let p(q) be the first derivative of q**3/3 + q**2/2 + q - 27. Let l(w) = 9*w**2 - 26*w + 49. Let g(j) = -l(j) + 4*p(j). Solve g(t) = 0.
3
Let q(g) be the third derivative of g**6/18 - 33*g**5/10 + 60*g**4 + 75*g**3 - 1482*g**2. Factor q(k).
2*(k - 15)**2*(10*k + 3)/3
Determine h so that -4 - 60*h + 151291*h**2 - 75652*h**2 - 75575*h**2 = 0.
-1/16, 1
Suppose -s - s + 46 = 2*m, 0 = -3*m + 5*s + 85. Factor 265 - 840*x**2 - 100*x**3 - 30*x**4 - 1339*x + m*x**4 - 261*x + 2295 - 15*x**3.
-5*(x - 1)*(x + 8)**3
Suppose 3*c = i - 30, -3*i - 44 + 2 = 3*c. Let l(k) = -6*k**2 - 63*k + 33. Let y be l(c). Suppose 2/13*n**3 - 4/13*n - 2/13*n**2 + y = 0. Calculate n.
-1, 0, 2
Let q(p) be the second derivative of p**5/10 - 4*p**4 - 52*p**3/3 - 471*p. Factor q(a).
2*a*(a - 26)*(a + 2)
Let j be (0*(-2 - (-24)/16))/(36/(-6)). Let z(s) be the third derivative of 3/44*s**4 + j + 0*s**3 + 1/110*s**5 + 17*s**2 + 0*s. Factor z(c).
6*c*(c + 3)/11
Let q = 19 - -53. Let j = q + -57. Factor -j*t**2 + 7*t**4 - 10*t**4 + 6*t + 0*t**4 + 12*t**3.
-3*t*(t - 2)*(t - 1)**2
Let d(q) be the third derivative of 9 + 2*q**2 + 0*q + 0*q**6 + 0*q**3 + 8/315*q**7 + 0*q**4 + 0*q**5 + 1/252*q**8. Factor d(h).
4*h**4*(h + 4)/3
Let w be (28/(-6) + 5)/(2/(-54)). Let g = 6 - w. Find i such that -282*i**3 + 29 - 5 - 111*i**2 - 66*i**4 + g*i - 117*i**4 - 30*i**5 + 27*i = 0.
-4, -1, -1/2, 2/5
Let a(z) = 1. Let l(i) = -i**2 + 16*i + 3. Let h = 12 + -15. Let o(d) = h*a(d) + l(d). Factor o(m).
-m*(m - 16)
Factor o - 332 - 1144*o**2 + 577*o**2 + 329*o + 569*o**2.
2*(o - 1)*(o + 166)
Let n(c) be the third derivative of 41*c**8/1680 - 69*c**7/350 + c**6/60 - c**2 + 173. Find p, given that n(p) = 0.
0, 2/41, 5
Let u(p) be the second derivative of p**6/25 - 39*p**5/25 - p**4/10 + 26*p**3/5 - 12*p - 7. Let u(c) = 0. Calculate c.
-1, 0, 1, 26
Let q(u) be the first derivative of u**4/2 - 14*u**3 - 528*u**2 + 22264*u + 5426. Solve q(y) = 0.
-23, 22
Let a(t) be the third derivative of 5/3*t**3 + 45*t + 5/8*t**4 + 0 + 1/12*t**5 + 2*t**2. Find u, given that a(u) = 0.
-2, -1
Find j such that -22819*j**3 - 1923*j**4 - 760*j + 23184*j**3 + 395*j**5 - 20 + 1195*j**2 + 748*j**4 = 0.
-1, -2/79, 1, 2
Let h = -3161 - -15807/5. Let l be -1*1*(-4)/2. Factor -8/5*b + h*b**3 + 16/5 - 4/5*b**l.
2*(b - 2)**2*(b + 2)/5
Let g(s) be the first derivative of -s**5/15 - 4*s**4/9 + 8*s**3/3 - 161*s + 296. Let h(y) be the first derivative of g(y). Solve h(u) = 0.
-6, 0, 2
Let w = -854469 - -9399161/11. Determine o so that w*o**2 - 148/11 - 146/11*o = 0.
-1, 74
Let s(d) be the third derivative of 0*d - 12/35*d**7 + 7 - 4*d**2 - 593/60*d**6 - 128/3*d**3 - 280/3*d**4 - 1289/15*d**5. Suppose s(k) = 0. Calculate k.
-8, -1/4, -2/9
Let o(c) be the second derivative of 0 + 1/2*c**3 - c**2 + 6*c - 1/12*c**4. Factor o(u).
-(u - 2)*(u - 1)
Let m(u) = -12*u**4 + 28*u**3 - 154*u**2 + 342*u + 275. Let d(i) = i**4 - 2*i**2 - 2*i - 25. Let q(l) = 44*d(l) + 4*m(l). Factor q(r).
-4*r*(r - 20)*(r - 4)**2
Let r(m) be the first derivative of m**4/42 - 8*m**3/21 - 9*m**2/7 + 150*m + 143. Let u(x) be the first derivative of r(x). Factor u(v).
2*(v - 9)*(v + 1)/7
Factor -5*n**3 - 113663*n - 2395*n**2 - 167954 - 171937*n + 283353 + 172601.
-5*(n - 1)*(n + 240)**2
Let b(g) be the first derivative of -g**3/21 - 2*g**2 - 75*g/7 + 1355. Find c such that b(c) = 0.
-25, -3
Let w be 7 - 5/(20/(-68)). Let t(g) be the first derivative of 0*g**5 + 4*g**2 - 5/2*g**4 + 1/3*g**6 - w + 0*g + 0*g**3. Let t(n) = 0. Calculate n.
-2, -1, 0, 1, 2
Factor -2184*f**3 + 1360*f**2 - 4*f**4 + 1034*f**3 + 1054*f**3.
-4*f**2*(f - 10)*(f + 34)
Let q(g) be the second derivative of -g**7/231 + 3*g**6/55 + 49*g**5/110 - 457*g**4/66 - 16*g**3/11 + 448*g**2/11 - g - 143. What is o in q(o) = 0?
-7, -1, 1, 8
What is y in -818/13*y - 12/13 + 412/13*y**2 = 0?
-3/206, 2
Determine x so that -5*x**4 - 1678*x - 295*x**3 - 222*x - 225*x + 25*x**4 + 1425*x**2 - 625 = 0.
-1/4, 5
Let t(r) be the first derivative of 11*r**4/2 - 72*r**3 + 211*r**2 + 84*r + 697. Factor t(a).
2*(a - 7)*(a - 3)*(11*a + 2)
Let v(c) be the second derivative of -5*c**4/12 + 13495*c**3/3 - 36423005*c**2/2 + 9519*c. Factor v(r).
-5*(r - 2699)**2
Suppose -2276 = -571*q + 30*q - 597*q. Determine g, given that 48/5 - 92/5*g - q*g**3 - 66/5*g**2 = 0.
-4, -3, 2/5
Let s be 80316/7857*((-6)/(-36))/((-2)/(-6)). Factor 10/9*y**3 + s*y**2 - 8/3 + 40/9*y.
2*(y + 2)*(y + 3)*(5*y - 2)/9
Let v = -857 - -859. Suppose -4*q - 20 = -5*l, -v*q - 25 = 3*q. What is d in 1/3*d**5 + l - 4/3*d**2 + 2*d**3 + 1/3*d - 4/3*d**4 = 0