w(d).
5*(d - 4)*(d - 1)**3*(d + 1)
Let o(r) = -3*r**5 - 30*r**4 + 13*r**3 + 66*r**2 + 13. Let g(x) = x**5 + 15*x**4 - 6*x**3 - 32*x**2 - 6. Let a(j) = 13*g(j) + 6*o(j). Factor a(u).
-5*u**2*(u - 2)**2*(u + 1)
Let q(g) be the third derivative of -g**5/150 - 41*g**4/15 - 108*g**3/5 + 3900*g**2. Factor q(h).
-2*(h + 2)*(h + 162)/5
Let d(q) be the second derivative of q**7/2520 + q**6/60 + q**4/12 + 151*q**3/6 + 19*q. Let y(m) be the third derivative of d(m). Suppose y(l) = 0. What is l?
-12, 0
Let t = 770 - 768. Factor -6*d**4 - 15*d**3 - 30*d**2 + 18*d**2 + t*d**4 + d**4.
-3*d**2*(d + 1)*(d + 4)
Solve -269 - 201*n**4 - 412*n**3 - 12*n**5 - 304*n**2 - 307 + 53*n**4 + 468*n**2 + 984*n = 0.
-8, -3, 2/3, 1
Let z(h) be the third derivative of 1/120*h**5 - 1/420*h**7 - 1/2016*h**8 - 1/720*h**6 + 0*h**3 + 23*h**2 + 1/72*h**4 + 4*h + 0. Let z(d) = 0. Calculate d.
-2, -1, 0, 1
Let x(w) be the third derivative of -w**6/1320 - 107*w**5/110 + 10987*w**2. Factor x(p).
-p**2*(p + 642)/11
Let l = 463508 + -6025452/13. Determine y so that -l - 2/13*y**3 - 160/13*y - 46/13*y**2 = 0.
-19, -2
Suppose 23 = -5*u + h + 50, -u = 4*h + 45. Factor 44/5 - 84/5*a + 4/5*a**u + 36/5*a**2.
4*(a - 1)**2*(a + 11)/5
Let c = -491 - -495. Let d(a) = -a**3 + a**2 + 12*a + 2. Let t be d(c). Let -4/7*g + 4/7*g**3 + 4/7 - 4/7*g**t = 0. What is g?
-1, 1
Let l(v) = -17*v**2 - 63*v - 67. Let u(d) = 8*d**2 + 32*d + 33. Let k = -20 + 27. Let y(h) = k*u(h) + 3*l(h). Factor y(n).
5*(n + 1)*(n + 6)
Let p(w) = -11*w**2 + 754*w + 70. Let x(s) = -5*s**2 + 378*s + 30. Let n(h) = -6*p(h) + 14*x(h). Find m, given that n(m) = 0.
0, 192
Let b(x) = x**2 + 1758*x - 156681. Let d(z) = 5*z**2 + 10550*z - 940080. Let s(m) = -35*b(m) + 6*d(m). Determine l so that s(l) = 0.
177
Suppose -z - 10*o + 13*o = 25, -2*z = -9*o + 77. Factor 20/7*x + 8/7 + x**3 + 1/7*x**4 + 18/7*x**z.
(x + 1)*(x + 2)**3/7
Let o(t) be the third derivative of t**8/168 - 26*t**7/105 + 47*t**6/30 - 68*t**5/15 + 89*t**4/12 - 22*t**3/3 + 21*t**2 - 16*t. Factor o(u).
2*(u - 22)*(u - 1)**4
Let n be (-55)/15 + -14*(-6 - 360/(-63)). Solve 12 + n*v**2 - 4*v = 0.
6
Let a = -2225861/5 - -445174. Let -12/5*v + a*v**2 - 36/5 + 3/5*v**3 = 0. What is v?
-3, -2, 2
Let q = 219 - 217. Let v(x) = -3*x**2 + 6. Let k(w) = 7*w**2 - 13. Let d(z) = q*k(z) + 5*v(z). Find f such that d(f) = 0.
-2, 2
Find b, given that -111/2*b**2 - 231/2 + 687/4*b - 3/4*b**3 = 0.
-77, 1, 2
Let y be ((-1)/(-15))/(2070/20700). Determine o, given that -y*o**4 - 686/3 - 980/3*o - 44/3*o**3 - 112*o**2 = 0.
-7, -1
Suppose 126146*w**2 - 12*w**5 - 36281*w - 578*w**4 + 39762 - 91031*w - 49194*w**3 + 2870 + 10*w**5 + 8308*w**3 = 0. What is w?
-146, 1
Factor -74 + 81*l**3 - 90*l**3 + 14 - 7*l**2 + 272*l.
-(l - 5)*(l + 6)*(9*l - 2)
Let -1149*t**2 - 42862 - 55181 - 58*t**3 + 74327 - 8932*t - t**4 = 0. What is t?
-22, -7
Suppose -3*s - 25 = -7*s + 3*u, 2*s = -5*u + 45. Suppose s*z + 9 = 13*z. Determine y, given that -1/3*y**4 + 0 + 1/3*y**2 + 0*y + 0*y**z = 0.
-1, 0, 1
Let h(x) be the third derivative of x**7/70 + 297*x**6/40 + 21903*x**5/20 - 22201*x**4/8 - 30*x**2 + 19*x. Suppose h(i) = 0. What is i?
-149, 0, 1
Let y(p) be the second derivative of -p**4/24 + p**2 + 291*p. Factor y(v).
-(v - 2)*(v + 2)/2
Let a = -7133/6 + 1189. Let v(w) be the second derivative of 0*w**4 + 0 - 3/80*w**5 + 0*w**2 - 2*w - 1/120*w**6 + a*w**3. Factor v(r).
-r*(r - 1)*(r + 2)**2/4
Let h(v) be the first derivative of -7*v**3/15 - 299*v**2/10 + 86*v/5 - 1360. Find t such that h(t) = 0.
-43, 2/7
Let l be (0/(29 - 2))/(-4). Determine c, given that l + 1/6*c**2 - c = 0.
0, 6
Let v(j) be the second derivative of -2/7*j**2 - 1/70*j**5 + 1/21*j**3 + 1/21*j**4 + 0 - 9*j. Factor v(r).
-2*(r - 2)*(r - 1)*(r + 1)/7
Let l(j) be the second derivative of -j**5/40 + 5*j**4/4 + 11*j**3 + 34*j**2 - 8*j - 139. Determine z so that l(z) = 0.
-2, 34
Let m(r) be the third derivative of 0*r**3 - 1/336*r**8 + 3/40*r**6 + 8*r**2 - 1/70*r**7 + 0*r**4 - 1/12*r**5 + 0 - r. Factor m(k).
-k**2*(k - 1)**2*(k + 5)
Let z(q) = -8*q**2 - 2*q. Let u(y) = 3*y**3 + 507*y**2 + 31728*y + 144060. Let c(o) = -u(o) + 12*z(o). Factor c(w).
-3*(w + 5)*(w + 98)**2
Solve -274*l**2 + l**3 + 2*l - 3*l - 7*l**3 + 40 + l**4 + 7*l + 233*l**2 = 0.
-4, -1, 1, 10
Let p(n) be the first derivative of n**4/8 + 73*n**3 + 873*n**2/4 + 218*n - 2954. Factor p(l).
(l + 1)**2*(l + 436)/2
Let o(u) be the first derivative of -9/13*u**2 + 0*u**3 + 1/26*u**4 + 0*u + 42. Factor o(l).
2*l*(l - 3)*(l + 3)/13
Let x = -144793/2 + 72408. Find f, given that -7/2*f**3 + 0 + x*f**2 - 3*f = 0.
0, 2/7, 3
Let q(b) = 8*b**3 + 6*b**2 + 3*b - 10. Let l be q(-4). Let j = 1327/3 + l. Factor j*c**2 + 4/3 - 2*c**3 + 1/3*c**4 - 4*c.
(c - 2)**2*(c - 1)**2/3
Let s(m) = 16*m + 1 - 1 - 2 - 2*m - 11*m - 3*m**2. Let q(a) be the first derivative of 2*a**3 - 7*a**2/2 + 5*a + 2. Let r(k) = 4*q(k) + 9*s(k). Factor r(g).
-(g + 1)*(3*g - 2)
Let c = 637/48 + -4267/336. Find r, given that -2/7*r**3 + 2*r + 8/7 + c*r**2 = 0.
-1, 4
Suppose 46/19 + 8/19*s**2 - 96/19*s + 4/19*s**5 + 92/19*s**3 - 54/19*s**4 = 0. What is s?
-1, 1, 23/2
Let a = 3/42625 - -13767863/170500. Factor 35/4*j**2 + a*j + 289/4 + 1/4*j**3.
(j + 1)*(j + 17)**2/4
Suppose -1621*p + 105 - 565 + 1000 = -4323. Factor 0*x - 2/9*x**p + 0 + 22/3*x**2.
-2*x**2*(x - 33)/9
Factor 65*f**2 - 31 + 2823*f**3 + 12*f - 62*f - 2828*f**3 - 62 - 27.
-5*(f - 12)*(f - 2)*(f + 1)
Let g(s) be the first derivative of s**7/42 - s**6/5 + s**5/5 + s**4/2 - 5*s**3/6 + 143*s + 41. Let x(h) be the first derivative of g(h). Factor x(c).
c*(c - 5)*(c - 1)**2*(c + 1)
Let j(a) = -a**3 - 3*a**2 - 209*a - 852. Let c be j(-4). Let u(b) be the second derivative of c - 1/4*b**4 + 0*b**2 + 45*b + 1/2*b**3. Factor u(x).
-3*x*(x - 1)
Let 0*o - 5/3*o**4 + 140*o**2 + 0 - 200/3*o**3 = 0. Calculate o.
-42, 0, 2
Let u be ((-1054)/(-31) - 33) + -1. Solve 18/5*j**5 + 36/5*j**4 - 8/5*j**3 + u*j + 0 - 16/5*j**2 = 0.
-2, -2/3, 0, 2/3
Suppose 26*a - 177 - 135 = 0. Suppose -2*w + 56 = a*w. Find j such that 2 - j**3 + 2*j - 3/2*j**2 + 1/2*j**w = 0.
-1, 2
Suppose 0 = 2*j - 5*z - 9, 4*j - 5*z + 3 - 16 = 0. Factor w**3 + 10 - 5*w**2 - 196*w + 188*w + j.
(w - 6)*(w - 1)*(w + 2)
Factor 1/2*b**2 + 11/2*b + 15.
(b + 5)*(b + 6)/2
Let f(z) be the first derivative of -5*z**4/4 - 45*z**3 + 5*z**2/2 + 135*z + 734. Factor f(r).
-5*(r - 1)*(r + 1)*(r + 27)
Let c(h) be the third derivative of 3*h**2 - 5*h - 8/15*h**3 + 0 - 1/600*h**6 + 0*h**5 + 1/10*h**4. What is k in c(k) = 0?
-4, 2
Let j(q) = -321*q + 39486. Let d be j(123). Determine a so that -5/3*a**5 - 25/3*a**4 - 20/3*a**2 + 0 + 0*a - 40/3*a**d = 0.
-2, -1, 0
Let z = 241 - 148. Factor 211 - 485*m**2 - z*m**3 - 531 - 256*m - 464*m + 3*m**3 - 5*m**4.
-5*(m + 1)**2*(m + 8)**2
Let r(i) be the second derivative of 53*i**5/45 - 211*i**4/27 + 416*i**3/27 + 8*i**2/9 - 583*i. Factor r(v).
4*(v - 2)**2*(53*v + 1)/9
Let p be (((-20)/90)/((-56)/(-630)))/((175/20)/(-7)). Let 24/7*x**3 + 0 - 4/7*x**5 - 16/7*x**4 - 20/7*x + 16/7*x**p = 0. What is x?
-5, -1, 0, 1
Let d be (834/(-69) - -12)/(1 + -2) - (-4400)/12880. Let -45/7*r - d*r**3 + 51/7*r**2 - 3/7*r**4 + 0 = 0. Calculate r.
-5, 0, 1, 3
Let s be 3*4/78 + (-66 - -66). Let u = 198/65 + s. Factor -4/5*b**5 + 0 + 8/5*b**4 - u*b + 12/5*b**3 - 16/5*b**2.
-4*b*(b - 2)**2*(b + 1)**2/5
Let h(y) = 2*y**5 - 6*y**4 - 30*y**3 + 232*y**2 + 96*y - 1152. Let s(w) = -w**4. Let d be 3/((-27)/(-18))*3. Let o(u) = d*s(u) + h(u). Factor o(g).
2*(g - 4)**3*(g + 3)**2
Let t(h) be the first derivative of 4/7*h**3 - 46/7*h**2 - 32/7*h - 23. Solve t(v) = 0.
-1/3, 8
Let h = -31576 - -157916/5. Determine n so that 3/5*n**3 + 48/5*n + 21/5*n**2 + h = 0.
-3, -2
What is p in 655*p**2 - 37*p + 404*p**3 - 3*p + 525*p**2 + 367*p**3 + 439*p**3 + 305*p**4 = 0?
-2, 0, 2/61
Let r(t) be the first derivative of -2*t**3/3 - 212*t**2 - 22472*t - 267. Factor r(q).
-2*(q + 106)**2
Determine d, given that 88/5*d + 18/5*d**4 - 22/5*d**3 - 16/5 - 68/5*d**2 = 0.
-2, 2/9, 1, 2
Solve 5*v**4 - 1265*v**3 + 358*v**3 + 4680 + 292*v**3 + 3570*v**2 - 7060*v = 0.
2, 117
Let a(o) = -4*o**4 - 3*o**3 - 12*o**2 - 10*o - 12. Let b(r) = 3*r**4 + 2*r**3 + 11*r**2 + 12*r + 12. Let t(q) = -4*a(q) - 5*b(q). Factor t(d).
(d - 3)*(d + 1)*(d + 2)**2
Let a(x) be the second derivati