**x. Factor n(i).
2*(i + 1)**2/5
Suppose 5*l - 6 + 11 = 0. Let j(m) = -3*m**4 + 9*m**3 + 12*m**2 - 12*m - 9. Let k(n) = n**3 + n**2 + 1. Let r(p) = l*j(p) + 3*k(p). Let r(q) = 0. What is q?
-1, 2
Let q be 2/(-3) + (756/(-891))/(-1). Factor 2/11*n - q*n**2 + 2/11*n**4 - 2/11*n**3 + 0.
2*n*(n - 1)**2*(n + 1)/11
Let i = 19 + -43/3. Let v(b) be the first derivative of -7 - b - 1/4*b**2 + i*b**3. Determine q, given that v(q) = 0.
-1/4, 2/7
Let v(p) = 9*p**2 - 6*p - 28. Let c be v(-4). Let j be 6 + c/(-25) + 9/(-60). What is q in -1/2*q**2 + 0*q**3 + j*q**4 + 1/4 + 0*q = 0?
-1, 1
Let d(f) = f**2 - 32*f + 62. Let n be d(30). Factor 128/7 - 160/7*w**3 - 320/7*w - 4/7*w**5 + 320/7*w**n + 40/7*w**4.
-4*(w - 2)**5/7
Suppose 40*w + 676 = 796. Solve l**w - 2/5 + 8/5*l**2 + 1/5*l = 0.
-1, 2/5
Suppose 873*c - 339 = 760*c. What is k in 12*k**2 - 9*k - 27/2 + 3/2*k**4 + 9*k**c = 0?
-3, -1, 1
Let q(s) = 13*s**3 + 8*s**2 + 3*s + 8. Let w(j) = -j**3 + j**2 - 2. Let n(t) = -q(t) - 4*w(t). Suppose n(d) = 0. What is d?
-1, -1/3, 0
Let k be 1*6/36 + 238/12. Factor -16 + 8 + 10*u**2 + 5*u**4 + 20*u**3 - k*u - 7.
5*(u - 1)*(u + 1)**2*(u + 3)
Let t be (-10)/4*(-126)/45. Let o = t - 7. Factor o*v**3 - v**3 + 4*v**3.
3*v**3
Let a(i) be the second derivative of 1/48*i**4 + 0 + 0*i**2 - 9*i - 1/40*i**5 + 0*i**3 - 1/40*i**6. Factor a(r).
-r**2*(r + 1)*(3*r - 1)/4
Find o, given that 0 - 11/3*o + 4*o**2 - 1/3*o**3 = 0.
0, 1, 11
Let q = 28464/15805 - 3/3161. Solve 12/5*g + 3/5*g**2 + q = 0.
-3, -1
Factor 15/4*s + 9/2 - 3/4*s**2.
-3*(s - 6)*(s + 1)/4
Let a(c) be the second derivative of -c**3/6 + 8*c**2 + 4*c - 2. Let i be a(14). Determine m so that -2/3*m**3 - 4/3 + 0*m**2 + i*m = 0.
-2, 1
Let l(j) be the first derivative of -14*j**4/5 - 121*j**3/15 - 8*j**2/5 + 4*j/5 - 90. Let l(u) = 0. What is u?
-2, -2/7, 1/8
Let l(p) be the first derivative of p**4/18 + 5*p**3/9 + 4*p**2/3 - 5*p + 25. Let g(z) be the first derivative of l(z). Factor g(k).
2*(k + 1)*(k + 4)/3
Factor -800 - 1333*x + 1253*x - 5*x**2 + 3*x**2.
-2*(x + 20)**2
Let a be ((-5)/15)/((-15)/27). Let i be 243/45 - (1 + -1). What is t in -a*t**3 + 3*t**2 - 9/5*t - i = 0?
-1, 3
Let h(i) be the first derivative of 0*i - 16*i**3 - 3*i**4 - 5 + 2*i**6 + 32/5*i**5 + 8*i**2. Let h(b) = 0. Calculate b.
-2, 0, 1/3, 1
Let o be ((-20)/8 - -1)*(1 - 11). Let g be (0*(-3)/o)/(-2). Solve g*a**3 + 0*a**2 + 0 + a**5 + 0*a - 2/3*a**4 = 0 for a.
0, 2/3
Let s(o) be the third derivative of 1/27*o**4 - 1/135*o**5 + 1/1620*o**6 + 1/3*o**3 + o**2 + 0*o + 0. Let x(y) be the first derivative of s(y). Solve x(n) = 0.
2
Let t(m) be the third derivative of -m**6/80 + 59*m**5/8 - 21903*m**4/16 + 21609*m**3/4 - 2*m**2 + 195. Solve t(v) = 0.
1, 147
Let r(f) = -f**3 + 7*f**2 + 24*f + 9. Let x = -24 + 27. Let i(y) = y. Let c(o) = x*r(o) - 21*i(o). Factor c(l).
-3*(l - 9)*(l + 1)**2
Find j, given that -378*j**2 + 131 - 131 + 225*j**3 + j**5 - 4*j**5 - 24*j**4 = 0.
-14, 0, 3
Let -440*r - 11*r**3 + 141*r**2 + 400 + 1/4*r**4 = 0. What is r?
2, 20
Find y such that -18*y - 104*y**3 + 354*y + 144*y + 144 - 116*y**2 + 28*y**4 = 0.
-2, -2/7, 3
Let u(c) be the first derivative of 16 + 4*c**4 + 0*c + 0*c**3 + 2/3*c**6 + 0*c**2 + 16/5*c**5. Factor u(r).
4*r**3*(r + 2)**2
Let c(y) = y**3 - y**2 + y. Let p = 49 + -43. Let o(i) = 15*i**3 - 18*i**2 - 33*i - 18. Let t(q) = p*c(q) - o(q). Determine f, given that t(f) = 0.
-1, -2/3, 3
Let b(m) = m - 1. Let j be 2 + -1 - (-1 - -1). Let u(s) = s**3 + s**2 + s - 1. Let o(p) = p + 8. Let n be o(-9). Let w(g) = j*u(g) + n*b(g). Factor w(f).
f**2*(f + 1)
Let 0 - 1/2*g**4 - 21/2*g**3 - 24*g + 35*g**2 = 0. Calculate g.
-24, 0, 1, 2
Let c(a) be the third derivative of -a**6/4 - 59*a**5/15 + 4*a**4/3 + 2*a**2 + 76*a. Determine g so that c(g) = 0.
-8, 0, 2/15
Suppose 393 = -4*s + 409. Let a(f) be the second derivative of 0*f**2 + 0*f**3 + 0 + 4*f + 1/50*f**5 - 1/10*f**s. Solve a(h) = 0.
0, 3
Let z(p) be the second derivative of -p**5/4 + 35*p**4/12 - 55*p**3/6 + 25*p**2/2 + 5*p + 6. Factor z(q).
-5*(q - 5)*(q - 1)**2
Let u(x) be the first derivative of x**3/3 + 3*x**2/2 + 2*x + 21. Let g be u(-3). Factor -6/7*o**3 + g*o + 4/7 + 4/7*o**2.
-2*(o - 2)*(o + 1)*(3*o + 1)/7
Let b be (-21)/56*-6*32/(-3). Let i(u) = u + 29. Let w be i(b). Find x, given that -27/2*x**3 + 9*x**4 + 0 - 3/2*x**w + 0*x + 0*x**2 = 0.
0, 3
Let a(r) = 8*r + 3. Let j be a(0). Determine d so that 5*d**2 - 5*d**4 - 287 - 4*d**5 + d + 287 + 3*d**j = 0.
-1, -1/4, 0, 1
Let k be 1/(4/20) - 0. Let u be 1*(9/(-3) + k). Solve t**2 - t**3 - 1 + t + 0*t**u + 0 = 0 for t.
-1, 1
Let w = -1/250 - -2009/2250. Solve 0*h - 4/9*h**5 + 0*h**4 - w*h**2 + 0 + 4/3*h**3 = 0.
-2, 0, 1
Factor 3 + 99/4*a**2 - 51*a.
3*(a - 2)*(33*a - 2)/4
Let p(o) be the third derivative of -o**7/11340 - o**6/810 - 7*o**4/24 - 9*o**2. Let z(t) be the second derivative of p(t). Determine i, given that z(i) = 0.
-4, 0
Let u(g) = -6*g**5 - 15*g**4 + 6*g**3 + 35*g**2 - 31. Let i(b) = -b**5 - 3*b**4 + b**3 + 7*b**2 - 6. Let h(l) = 22*i(l) - 4*u(l). Suppose h(j) = 0. Calculate j.
-1, 1, 2
Let v(n) be the first derivative of -5*n**6/6 + 2*n**5 + 15*n**4 + 70*n**3/3 + 25*n**2/2 + 108. Factor v(x).
-5*x*(x - 5)*(x + 1)**3
Let i = 36 - 18. Let r(j) = -7*j**4 + 7*j**3 + j**2 + 8*j - 9. Let s(b) = b**4 - b**3 - b**2 + 1. Let h(f) = i*s(f) + 2*r(f). Factor h(a).
4*a*(a - 2)*(a - 1)*(a + 2)
Let v(y) = -3*y**2 - 18*y - 32. Let c(r) = 3*r**2 + 18*r + 31. Let p(x) = -5*c(x) - 4*v(x). Factor p(t).
-3*(t + 3)**2
Let i be (5 - (-58 + 3))/2. Let o be (7 + (-246)/i)*(-5)/4. Find q, given that 0*q + 1/2*q**4 - q**3 - o*q**2 + 0 = 0.
-1, 0, 3
Let m(x) be the third derivative of -x**6/1440 + x**5/60 + 8*x**3/3 + 26*x**2. Let b(t) be the first derivative of m(t). Let b(v) = 0. What is v?
0, 8
Let t(a) be the third derivative of -a**6/780 + 31*a**5/390 - 28*a**4/39 + 36*a**3/13 - 2*a**2 - 541*a. Factor t(f).
-2*(f - 27)*(f - 2)**2/13
Let m be 6/72 + 10/8. Solve -20/3*n**2 + 0 + 4/3*n**4 + 4*n**3 - m*n**5 + 8/3*n = 0.
-2, 0, 1
Suppose 0 = -2*q + 5*q - 27. Let p be (45/10)/9 - q/(-6). Suppose 1/2*s**p + 0 - 1/6*s**3 - 1/3*s = 0. Calculate s.
0, 1, 2
Find c, given that 169/2*c**2 + 9/2*c**4 + 88*c + 33*c**3 + 32 = 0.
-8/3, -1
Suppose -21*m = -16*m + 5*p + 20, -3*m + 2*p + 18 = 0. Factor 12/7 + 18/7*a**m - 58/7*a.
2*(a - 3)*(9*a - 2)/7
Let p(w) be the first derivative of 0*w - 1/15*w**5 + 0*w**2 - 1/18*w**6 + 1/12*w**4 - 10 + 1/9*w**3. Factor p(s).
-s**2*(s - 1)*(s + 1)**2/3
Let c(p) be the third derivative of 0 - 5/3*p**3 - 35/24*p**4 - 5/24*p**6 - 1/42*p**7 - 3/4*p**5 - 4*p**2 + 0*p. Factor c(z).
-5*(z + 1)**3*(z + 2)
Suppose -25 = w + 5*m, 2*m - 3*m - 5 = 0. Let 3*f**3 + w - 2*f**4 + 1/2*f**5 - 2*f**2 + 1/2*f = 0. What is f?
0, 1
Let 1/3*i**3 + 128/3 + 44*i + 12*i**2 = 0. What is i?
-32, -2
What is m in 1/2*m - 2 + 1/4*m**2 = 0?
-4, 2
Let u(i) be the second derivative of -i**7/105 + i**6/36 - i**5/60 - i**3 - 2*i. Let k(j) be the second derivative of u(j). Factor k(t).
-2*t*(t - 1)*(4*t - 1)
Let s = 8 + -24. Let j be -6*(s/(-12))/(-4). Factor 11 - 14*c + 4*c**j - 2*c + 2 - 1.
4*(c - 3)*(c - 1)
Suppose 15 = j - 4*t, -38*j + 2*t - 6 = -42*j. Factor -14/11*y**2 - 6/11*y + 0 - 4/11*y**j.
-2*y*(y + 3)*(2*y + 1)/11
Let r(l) be the third derivative of l**8/1344 - l**7/840 - l**6/240 - 13*l**2 - 2*l. Suppose r(o) = 0. Calculate o.
-1, 0, 2
Solve 341 - 689 + 348 + 74*h + 62*h + h**2 = 0.
-136, 0
Factor 3*q**3 + 0 + 27/2*q**5 + 0*q**2 + 33/2*q**4 + 0*q.
3*q**3*(q + 1)*(9*q + 2)/2
Let v(f) = -1086*f + 8692. Let w be v(8). Find y, given that 4/3*y + 0 - 4/3*y**w - 2*y**3 + 2*y**2 = 0.
-2, -1/2, 0, 1
Let w = 1539/8 - 192. Let a(p) be the first derivative of 2/3*p**3 + w*p**4 + 1/4*p - 3/4*p**2 - 6 - 9/20*p**5. Solve a(j) = 0 for j.
-1, 1/3, 1
Suppose 145*o**2 + 728*o - 467*o**2 - 29*o**2 - 196 - 325*o**2 = 0. What is o?
7/13
Solve -2/15*j**3 - 56/15*j + 58/15*j**2 + 0 = 0 for j.
0, 1, 28
Let s(l) be the third derivative of -1/48*l**4 + 1/9*l**3 + 0 - 14*l**2 - 1/360*l**5 + 0*l. Determine p, given that s(p) = 0.
-4, 1
Let d(f) = -5*f - 42. Let i(h) = 2*h**2 + 16*h + 15. Let t be i(-6). Let l be d(t). Suppose 5/2*w**4 - 2*w**l - 3*w**2 + 1/2 + 2*w = 0. What is w?
-1, -1/5, 1
Let d(t) be the second derivative of t**5/80 - t**4/8 + t**3/2 - 5*t**2