- 3*p - 2*p = 10. Suppose -25 = n*x - 20*x. Solve 5 + 31*l**3 + 10*l**2 - 15*l - 45*l**x + 39*l**3 - 15*l**4 - 10*l = 0 for l.
-1, 1/3, 1
Suppose 811*y - 453*y + 260*y = -203*y - 1557*y. Solve 0*j + 0 + y*j**2 + 3/2*j**3 + 3/2*j**5 - 3*j**4 = 0 for j.
0, 1
Let n(g) = 49*g**3 - 521*g**2 - 1060*g - 535. Let o(r) = 114*r**3 - 1039*r**2 - 2119*r - 1071. Let b(c) = -7*n(c) + 3*o(c). Determine x, given that b(x) = 0.
-1, 532
Let t = -1285 + 632. Let z = 655 + t. Factor -x**3 + 4/5 - 16/5*x + 17/5*x**z.
-(x - 2)*(x - 1)*(5*x - 2)/5
Let f(k) be the second derivative of 3*k - 1/20*k**4 - 3/25*k**5 + 0*k**2 + 0*k**3 + 1/10*k**6 + 9. Factor f(y).
3*y**2*(y - 1)*(5*y + 1)/5
Let f be 45721/(-156)*-8 - 10. Let w = f + -2334. Determine l so that w*l**3 - 4/9*l**2 - 2/9*l**4 + 0 + 0*l = 0.
0, 1, 2
Let s(u) = 15*u**2 - 25*u + 23. Let b(o) = 14*o**2 - o. Let z(k) = b(k) - s(k). Find j, given that z(j) = 0.
1, 23
Let g(z) be the third derivative of z**5/100 - 767*z**4/5 + 4706312*z**3/5 + 10*z**2 - 10*z - 16. Factor g(c).
3*(c - 3068)**2/5
Let x be (-26106)/(-3206) + -12*(-2)/(-3). Suppose 2 = c + r, 0 = -2*c - 3*r - r + 4. Factor -33/7*n**c - x*n**4 - 64/7 - 16*n + 2*n**3.
-(n - 8)**2*(n + 1)**2/7
Find b such that 2/7*b**5 + 120/7*b**2 - 32/7*b**3 + 0 - 18/7*b**4 + 0*b = 0.
-3, 0, 2, 10
Let o(u) = 2*u**2 + 8*u - 30. Let b be o(-6). Let g be ((-54)/135)/(b/160). Find d, given that -g*d + 2/3*d**2 - 8/3 + 8/3*d**3 = 0.
-2, -1/4, 2
Let w(d) = 5*d**3 - 18*d**2 + 108*d - 216. Let g(v) = v**3. Let f(i) = -12*g(i) + 3*w(i). Factor f(l).
3*(l - 6)**3
Let b(r) = 4*r**2 - r + 1. Let q be b(1). Suppose 3*y - 5*y = q*z + 12, 16 = 2*y - 3*z. Factor -3*x**y + 4*x**4 + 23*x**2 + 8*x + 5*x**3 + 11*x**3.
4*x*(x + 1)**2*(x + 2)
Factor -182/5 + 16/5*l + 6/5*l**2.
2*(l + 7)*(3*l - 13)/5
Let z(v) = -26*v**3 + 9*v**2 + 74*v + 63. Let b(k) = 226*k**3 - 82*k**2 - 666*k - 566. Let w(p) = 3*b(p) + 26*z(p). Factor w(c).
2*(c - 10)*(c + 1)*(c + 3)
Let g = -89 + 118. Suppose -4*u - 5*z - 5 = 0, -z = -5*u + 1 + g. Factor 12*b**2 - 3 - 10*b**2 + u + 4*b.
2*(b + 1)**2
Let o(p) be the first derivative of -2*p**5/45 + p**4/9 + 56*p**3/27 + 46*p**2/9 + 14*p/3 + 529. Find i such that o(i) = 0.
-3, -1, 7
Let v = -73904 - -73909. Factor 13/2*p**2 - v*p - 7/4*p**3 - 2.
-(p - 2)**2*(7*p + 2)/4
Let w(n) = -55*n**2 + 178*n - 36. Let x be w(3). Factor 98*t**2 - 686/3*t**x - 14*t + 2/3.
-2*(7*t - 1)**3/3
Let a(y) = 8*y**3 + 870*y**2 + 4*y - 858. Let m(v) = -10*v**3 - 874*v**2 - 6*v + 858. Let k(j) = -4*a(j) - 3*m(j). Determine d, given that k(d) = 0.
-429, -1, 1
Factor 329876*y**2 - 139*y + 120 - 329825*y**2 + 3*y**3 + 55*y - 90*y.
3*(y - 2)*(y - 1)*(y + 20)
Suppose 0 = -8*v + 41 - 1. Suppose -b - v*b = 30. Let r(g) = -15*g**2 - 15*g - 5. Let c(w) = -7*w**2 - 8*w - 2. Let x(l) = b*c(l) + 2*r(l). Factor x(n).
5*n*(n + 2)
Let p = -3970324385/4697991 - 1/521999. Let a = -844 - p. Factor 13/9*v - a + 1/3*v**2.
(v + 5)*(3*v - 2)/9
Factor -4/7*i**4 + 72/7*i**2 - 4/7*i**3 + 208/7*i + 160/7.
-4*(i - 5)*(i + 2)**3/7
Let w(r) be the first derivative of -2*r**5 + 32/3*r**3 + 2*r**4 + 1/3*r**6 - 32*r**2 - 48 + 32*r. Solve w(a) = 0.
-2, 1, 2
Determine t, given that -1167/8*t + 3/8*t**3 + 573/8*t**2 - 1737/8 = 0.
-193, -1, 3
Let v be (-1004)/14 + 5367 + -5295. Factor 24/7 + 16/7*s - 2/7*s**3 - v*s**2.
-2*(s - 3)*(s + 2)**2/7
Let r(q) be the first derivative of -q**3/21 - 30*q**2/7 + 864*q/7 - 2999. Find o such that r(o) = 0.
-72, 12
Suppose -52*s = 168 + 92. Let i be (-58)/(-1015) - 4/s. Factor 3/7*t**3 + i + 0*t**2 - 9/7*t.
3*(t - 1)**2*(t + 2)/7
Let o(v) be the first derivative of v**6/60 + v**5/10 - v**4/8 - 7*v**3/6 - 2*v**2 + 25*v - 41. Let a(q) be the first derivative of o(q). What is w in a(w) = 0?
-4, -1, 2
Let q be (-2 - 2/2) + (-24)/84*-21. Let u(o) be the second derivative of 0*o**2 + 19*o + 9/10*o**5 - 47/6*o**4 + 10/3*o**q + 0. Factor u(b).
2*b*(b - 5)*(9*b - 2)
Let i(n) = -2*n**3 + n**2 + n + 2. Let c(b) = -5*b**3 + 6*b**2 + 87*b - 84. Let t(h) = c(h) - 2*i(h). Let t(f) = 0. Calculate f.
-8, 1, 11
Let u = 966632 - 966628. Let 4 + 13/3*x**u - 55/3*x**2 - 5/2*x**3 - 26/3*x + 7/6*x**5 = 0. Calculate x.
-3, -2, -1, 2/7, 2
Let g = 81286/91 - 11538/13. Solve 8/7 - g*d + 18/7*d**2 = 0 for d.
2/9, 2
Solve -598/7 - 2/7*i**2 + 600/7*i = 0 for i.
1, 299
Let u = -17324 - -17329. Let j(r) be the third derivative of -1/4*r**u + 13*r**2 + 20/3*r**3 + 0*r - 1/24*r**6 + 0 + 5/4*r**4. Find i such that j(i) = 0.
-4, -1, 2
Let g(c) = -6*c**2 - 263*c + 2723. Let z(q) = 9*q**2 + 394*q - 4093. Let d(f) = 7*g(f) + 5*z(f). Determine y so that d(y) = 0.
-52, 9
Let j(k) = -k**3 + k**2. Let w(s) = -6*s**2 + 6*s**2 + s - s**2. Let i(x) = 3*j(x) + 6*w(x). Factor i(c).
-3*c*(c - 1)*(c + 2)
Let d(b) be the third derivative of b**5/30 + 373*b**4/3 + 556516*b**3/3 - b**2 - 272*b. What is r in d(r) = 0?
-746
Let j(b) be the first derivative of 38*b**3/15 - 416*b**2/5 - 88*b/5 + 2347. Factor j(k).
2*(k - 22)*(19*k + 2)/5
Let w(r) = 5*r**4 - 6*r**3 + 33*r**2 - 30*r. Let d(v) = -8*v**4 + 6*v**3 - 31*v**2 + 30*v. Let l(u) = 2*d(u) + 3*w(u). Factor l(s).
-s*(s - 3)*(s - 1)*(s + 10)
Let o(x) be the third derivative of x**6/10 - 11*x**5/15 - 2*x**4/3 + 5020*x**2. Factor o(k).
4*k*(k - 4)*(3*k + 1)
Let o(n) = -13940*n + 32 + 24 + 13988*n - 12*n**3. Let h(j) be the first derivative of -j**4/4 - j - 3. Let g(x) = 8*h(x) - o(x). Suppose g(v) = 0. Calculate v.
-2, 4
Let f(c) be the first derivative of 6*c**5/25 + 271*c**4/10 + 414*c**3/5 + 441*c**2/5 + 176*c/5 + 72. Solve f(a) = 0.
-88, -1, -1/3
Let a be 28/(-7)*2/(-4). Suppose 10*g**4 - 8*g**5 - 8*g**2 - 24*g**3 - 12 + 10*g**4 + 6*g**5 + 28*g - a*g**5 = 0. What is g?
-1, 1, 3
Let j(l) be the second derivative of -l**4/16 - 21*l**3/8 - 51*l**2/2 + l + 307. Let j(c) = 0. What is c?
-17, -4
Factor 3*n**4 - 795*n - 1246*n + 2*n**3 - 782*n**3 - 335*n - 3159*n**2.
3*n*(n - 264)*(n + 1)*(n + 3)
Let z be ((-1649)/(-340) - 5)/((-63)/525). Let -5/4*a**2 + 1/4*a**5 + 3/4*a**3 + 0 - a + z*a**4 = 0. What is a?
-4, -1, 0, 1
Factor -230032*l**5 - 2564*l**4 + l**3 - l**3 + 230028*l**5.
-4*l**4*(l + 641)
Let -21*s**4 - 116*s - 180*s - 22*s**4 + 54*s**4 - 144 - 228*s**2 - 78*s**3 - 21*s**4 = 0. What is s?
-2, -9/5
Let q(w) = -w**3 + 17*w**2 + 39*w - 16. Let c be q(19). Factor 16*l - 2720*l**3 + 16*l**2 + 1365*l**c + 1359*l**3.
4*l*(l + 2)**2
Let c be (-52)/14 + 4 + 26/7. Suppose -c*h + 11 = 3. Factor -4*z**2 - 2*z**h + 3*z**2.
-3*z**2
Let s(z) be the first derivative of 0*z + 1/20*z**6 - 11/30*z**5 + 1/2*z**4 - 1/2*z**2 + 0*z**3 + 6. Let f(k) be the second derivative of s(k). Factor f(r).
2*r*(r - 3)*(3*r - 2)
Let m(x) = x**2 - 14*x + 27. Let g = 58 - 46. Let a be m(g). Factor 0*q**2 - 6*q - 303*q**a + q**2 + 304*q**3.
q*(q - 2)*(q + 3)
Let y(a) be the second derivative of 2*a**6/15 - 22*a**5/5 + 35*a**4 - 296*a**3/3 + 128*a**2 - 2000*a. Factor y(v).
4*(v - 16)*(v - 4)*(v - 1)**2
Let r(a) = -16*a**4 + 387*a**3 + 413*a**2 - 5*a + 10. Let x(l) = 39*l**4 - 969*l**3 - 1032*l**2 + 12*l - 24. Let h(u) = 12*r(u) + 5*x(u). Factor h(d).
3*d**2*(d - 68)*(d + 1)
Let u(v) = -2*v**2 + 24*v + 324. Let z be u(20). Let s(m) be the second derivative of 1/220*m**5 - 1/44*m**z + 11*m - 1/66*m**3 + 3/22*m**2 + 0. Factor s(w).
(w - 3)*(w - 1)*(w + 1)/11
Let q(t) be the second derivative of -t**6/80 - 21*t**5/160 - t**4/4 + t**3 - 3225*t. Factor q(b).
-3*b*(b - 1)*(b + 4)**2/8
Let d(t) be the second derivative of t**6/1980 + t**5/66 + 25*t**4/132 + t**3 + 2*t**2 - 33*t. Let j(n) be the second derivative of d(n). Factor j(l).
2*(l + 5)**2/11
Suppose -10 = -3*m - 5*o + 122, 2*o = -4*m + 176. Let x = 47 - m. Factor -11*p**2 + 6*p + 14*p**4 + 5*p**x - 21*p**2 + 2*p + 5*p**3.
2*p*(p - 1)*(p + 2)*(7*p - 2)
Let l(b) = 126*b**3 + 3144*b**2 - 243418*b + 240250. Let p(c) = 26*c**3 + 629*c**2 - 48684*c + 48050. Let o(u) = 7*l(u) - 34*p(u). Determine d so that o(d) = 0.
1, 155
Let b(k) be the first derivative of 220 + 14/5*k**2 + 1/20*k**4 - 16/15*k**3 + 0*k. Solve b(z) = 0 for z.
0, 2, 14
Let t = -5470780/9 + 607866. Factor -2/9*f**2 + 0 - t*f.
-2*f*(f + 7)/9
Let f(c) be the first derivative of -15*c**6/2 - 52*c**5 - 75*c**4 + 350*c**3/3 + 345*c**2/2 - 90*c - 767. Determine g so that f(g) = 0.
-3, -1, 2/9, 1
Let g(d) = -d**3 + 20*d**2 - 11. Let