*3 - 69*l**2 - 210*l - 56*l**2 - 45 - v*l**3 = 0.
-3, -1/4
Let g(y) be the third derivative of y**8/2016 - y**6/90 + y**5/60 + 7*y**4/144 - y**3/6 + 72*y**2 - 2. Let g(o) = 0. What is o?
-3, -1, 1, 2
Let n be (-1)/(-2) - ((-90)/(-252))/5. Factor 0*j - n*j**5 + 0*j**2 + 3/7*j**3 + 0*j**4 + 0.
-3*j**3*(j - 1)*(j + 1)/7
Let x = 41 + -31. Find n, given that x*n - 55*n**3 + 141*n**4 + 169*n**4 + 25*n**2 - 290*n**4 = 0.
-1/4, 0, 1, 2
Let m(a) = -15*a**2 + 25*a + 15. Suppose -35 = 9*w - 4*w. Let v(i) = 23*i**2 - 38*i - 23. Let l(o) = w*m(o) - 5*v(o). Factor l(j).
-5*(j - 2)*(2*j + 1)
Factor -64*a**3 + 31*a**3 - 27*a**2 + 36*a**3 + 0*a - 30*a.
3*a*(a - 10)*(a + 1)
Let l be 4/(-10)*(5 + 5). Let p be 2/l*(-4)/20*2. Find y, given that -9/5 + 6/5*y - p*y**2 = 0.
3
Factor 1/5*u**3 + 0 - 176/5*u**2 + 0*u.
u**2*(u - 176)/5
Suppose -5*i - l - 430 - 594 = 0, 0 = -4*i + l - 821. Let g be i/(-15) + (-6 - -3). Factor 0 + 0*u + 16/3*u**4 + 14/3*u**3 - g*u**5 + 2/3*u**2.
-2*u**2*(u - 1)*(4*u + 1)**2/3
Suppose 713*f - 737*f + 120 = 0. Solve 5/4*m**f + 9/4*m**3 + 13/4*m**4 - 1/2*m - 1/4*m**2 + 0 = 0 for m.
-1, 0, 2/5
Let j = 496 - 496. Let d(f) be the second derivative of -1/2*f**5 + 0*f**2 + j + 0*f**3 - 7*f + 1/2*f**4. Factor d(k).
-2*k**2*(5*k - 3)
Suppose 4*q = 20, -6 + 38 = 3*u + 4*q. Let k be ((-6)/(-4))/(6/8). Factor -19*o**2 - 22*o**2 - 10*o + 4*o**3 - u + 39*o**k.
2*(o - 2)*(o + 1)*(2*o + 1)
Let o = -9701/5130 + 36/19. Let u(n) be the third derivative of 0*n - o*n**5 - 1/54*n**4 + 1/540*n**6 + 5*n**2 + 0*n**3 + 0. Factor u(z).
2*z*(z - 2)*(z + 1)/9
Suppose -76 = -4*m - 5*o, o - 2*o - 52 = -4*m. Let v(s) = 3*s**2 - 30*s + 258. Let l(u) = -10*u**2 + 89*u - 775. Let r(b) = m*v(b) + 4*l(b). Factor r(x).
2*(x - 16)**2
Let a = -10 - -12. Let 2*v**5 + 17*v**2 - a*v**3 - 17*v**2 = 0. What is v?
-1, 0, 1
Factor 1/4*m**5 - m + 2 + m**4 + 1/4*m**3 - 5/2*m**2.
(m - 1)**2*(m + 2)**3/4
Let u(y) be the third derivative of -y**8/84 - 4*y**7/105 + 2*y**6/15 + 8*y**5/15 - 513*y**2. Factor u(i).
-4*i**2*(i - 2)*(i + 2)**2
Let v(j) be the first derivative of j**2 - 3/4*j**4 + 0*j - 4 + 1/3*j**3. Factor v(u).
-u*(u - 1)*(3*u + 2)
Let q be 10 + ((-2)/(-1))/(-1). Suppose -4*f - 14 = -5*l - 5*f, 0 = 5*l - f - 6. Factor -l - 4*p**2 - 4*p**3 - q*p**2 + 2.
-4*p**2*(p + 3)
Suppose 18*n - 14*n = -21*n - 22*n. Let w be (-32)/(-14) - (-4)/(-14). Suppose n - 1/3*u**w + u = 0. What is u?
0, 3
Suppose 2*z + 5 = -l + 6*z, -l = 4*z - 11. Suppose -j + 2 = -l*i, 5*i = j + 2*j - 6. Find q, given that -1/4*q**3 + 0 - 1/2*q + 3/4*q**j = 0.
0, 1, 2
Let z be (4 + 286/(-65))*(-11 + 1). Let u(h) be the third derivative of -10*h**2 - 5/96*h**z + 1/60*h**5 - 1/480*h**6 + 0 + 1/12*h**3 + 0*h. Factor u(x).
-(x - 2)*(x - 1)**2/4
Let p = -2 + 5. Suppose -p*n - 20 = -8*n. Find x, given that 55*x**2 - 55*x**2 + 2*x + x**n - 1 - 2*x**3 = 0.
-1, 1
Suppose 4*x = -x - 20, -j - 4*x - 41 = 0. Let g = 27 + j. Factor 33/2*b**4 - 63/4*b**5 - 2*b**g - b**3 + 0*b + 0.
-b**2*(3*b - 2)**2*(7*b + 2)/4
Let l(p) be the first derivative of -p**6/6 + 3*p**5/5 - p**4/4 - p**3 + p**2 - 81. Factor l(b).
-b*(b - 2)*(b - 1)**2*(b + 1)
Let x be 3/((-14)/(-6)*-3) + (-85)/(-35). Let h = 3 + -3. Factor h - 1/4*a**x + 1/4*a.
-a*(a - 1)/4
Let l be 5559/(-425) + 13 + (-666)/(-825). Suppose 0*q + 2/11*q**2 - l = 0. What is q?
-2, 2
Let c = 115/558 - -640/279. Factor -i - 1/2*i**3 + c*i**2 - 4.
-(i - 4)*(i - 2)*(i + 1)/2
Let f(i) = i**2 + 197*i - 1010. Let z be f(5). Let b(x) be the second derivative of -6*x + 3*x**2 + z - 1/8*x**4 - 3/4*x**3. What is n in b(n) = 0?
-4, 1
Suppose 3*i + 2 = -3*a + 8, 10 = 4*i + 3*a. Suppose 0 = -5*w + 5, -q - 2*w + i + 0 = 0. Let -1 + 3*b**2 + 1 - 4*b**q = 0. Calculate b.
0
Let a(m) = -m**2 - 10*m - 31. Let o(q) = q + q**2 + 16 + 2*q + 2*q. Let i(y) = -6*a(y) - 11*o(y). Factor i(z).
-5*(z - 2)*(z + 1)
Let y = 217/2 - 108. Factor 9/2*a**2 - 4*a**4 + 9/4*a**5 - 5/4*a - a**3 - y.
(a - 1)**3*(a + 1)*(9*a + 2)/4
Let h(f) be the second derivative of -1/51*f**3 + 0 - 1/102*f**4 - 37*f + 0*f**2. Let h(o) = 0. Calculate o.
-1, 0
Let p be (3/(-5))/(((-24)/(-40))/(-3)). Let k(h) be the first derivative of 1/2*h**6 + 0*h**2 + 0*h + 3/5*h**5 + 6 + 0*h**4 + 0*h**p. Factor k(j).
3*j**4*(j + 1)
Let h(b) be the first derivative of b**4/36 - 5*b**3/27 + b**2/3 + 51. Suppose h(j) = 0. What is j?
0, 2, 3
Let k(x) = -9*x**2 + 31*x - 28. Let q(b) = -b**2 + 2*b - 2. Let a(c) = -5*k(c) + 30*q(c). Factor a(l).
5*(l - 1)*(3*l - 16)
Suppose -5*p + 128*z = 130*z - 18, -2 = 2*z. Factor 10/3*i + p*i**2 + 2/3*i**3 + 0.
2*i*(i + 1)*(i + 5)/3
Determine j so that 14/3 + 1/6*j**3 + 11/6*j**2 + 16/3*j = 0.
-7, -2
Let q(g) = -2*g**3 + 28*g**2 - 36*g - 6. Let i(w) = 25*w**3 - 365*w**2 + 470*w + 80. Let y(a) = 3*i(a) + 40*q(a). Factor y(l).
-5*l*(l - 3)*(l - 2)
Suppose 3 = 4*d - 5. Let q(k) = k. Let u be q(d). Factor u*x**4 + 3*x**5 - 2*x**5 + 8*x**2 - x - 10*x**2.
x*(x - 1)*(x + 1)**3
Determine n, given that 3*n**5 - 44*n**3 + 12*n**3 + n**5 - 34*n**4 - 6*n**5 = 0.
-16, -1, 0
Let c(t) be the third derivative of -t**10/15120 - t**9/7560 - 3*t**4/8 + 19*t**2. Let h(r) be the second derivative of c(r). Factor h(o).
-2*o**4*(o + 1)
Let v(z) be the first derivative of -z**6/360 - z**5/120 - 8*z**3/3 - 20. Let r(i) be the third derivative of v(i). Solve r(f) = 0 for f.
-1, 0
Let a be 3/(-18)*12/(-10). Let t(v) be the second derivative of -3*v - 1/15*v**6 - a*v**5 + 2/3*v**3 + 0 + v**2 + 0*v**4. Solve t(m) = 0 for m.
-1, 1
Let y(c) be the first derivative of 2*c**6/15 + 72*c**5/25 + 129*c**4/5 + 368*c**3/3 + 1632*c**2/5 + 2304*c/5 + 121. Factor y(n).
4*(n + 3)**2*(n + 4)**3/5
Suppose 0 = 9*h + 7 - 25. What is d in 3 - 2 - 10*d**h - 1 + 5*d + 5*d**3 = 0?
0, 1
Let k(r) be the first derivative of 4*r**2 - 17 + 4/3*r**3 + 4*r. Factor k(u).
4*(u + 1)**2
Let f(c) = c**3 - c**2 + c. Let w(k) = -8*k**3 + 112*k**2 - 976*k + 2916. Let m(g) = -4*f(g) - w(g). Factor m(u).
4*(u - 9)**3
Let q(x) be the second derivative of -5*x**4/12 + 5*x**3 - 25*x**2/2 + 69*x. Factor q(n).
-5*(n - 5)*(n - 1)
Suppose -2*u + 4*u - 22 = -4*h, -2 = -2*u. Determine k, given that k + 5 + h*k**2 + k - 12*k = 0.
1
Let s(v) be the second derivative of -v**6/72 + v**5/36 + 5*v**2 - 5*v. Let c(q) be the first derivative of s(q). Factor c(n).
-5*n**2*(n - 1)/3
Suppose -n = n - 4. Let r(b) = b**2 - b - 2. Let a be r(n). Factor 1 + a + 4*m**2 + 0 - 4*m - 2*m**3 + m**2.
-(m - 1)**2*(2*m - 1)
Let u(l) be the third derivative of -l**5/90 - 5*l**4/18 - 25*l**3/9 + 124*l**2. Factor u(j).
-2*(j + 5)**2/3
Let a(y) be the first derivative of y**6/3 + 6*y**5/5 - 9*y**4/2 + 10*y**3/3 + 78. Factor a(r).
2*r**2*(r - 1)**2*(r + 5)
Let c be (0 - (1 - 2))*(-21)/(-7). Let -6*p**2 + 3*p**4 - 10*p + 141*p**3 + 2*p**4 + p**2 - 131*p**c = 0. Calculate p.
-2, -1, 0, 1
Suppose 0 = -20*q + 1449 + 1711. Let f = -156 + q. Find j such that -10/3*j**f - 8/3 - 16/3*j - 2/3*j**3 = 0.
-2, -1
Let v = -78031/6 + 13009. Solve 1/3 + 1/6*u**3 - v*u**2 + 7/2*u**4 - 1/6*u = 0 for u.
-1, -1/3, 2/7, 1
Let g(m) be the third derivative of m**6/70 + m**5/21 + m**4/21 - 2*m**2 - 24*m. Factor g(l).
4*l*(l + 1)*(3*l + 2)/7
Let j(q) = -q**2 + 3*q + 2. Let u be j(3). Let f be 2/u + (2/(-6) - 0). Factor -2/3*x**2 + 4/3 + f*x.
-2*(x - 2)*(x + 1)/3
Let u(t) = -3*t + 2*t - 3*t**2 + 2*t. Let a = 28 + -37. Let c(g) = 13*g**2 - 3*g - 1. Let k(h) = a*u(h) - 2*c(h). Determine p so that k(p) = 0.
1, 2
Let h(v) be the first derivative of v**3/12 + 15*v**2/8 - 4*v - 21. Find a, given that h(a) = 0.
-16, 1
Let l(v) be the third derivative of v**9/1512 - v**8/420 + v**6/90 - v**5/60 - 13*v**3/6 + 19*v**2. Let s(k) be the first derivative of l(k). Factor s(x).
2*x*(x - 1)**3*(x + 1)
Let y be (-3)/(-1)*(-80)/(-60). Suppose 5*x - 4 = 36. Factor -x*p**5 + y*p**3 - 4*p**4 + 6*p**5 - 6*p**3.
-2*p**3*(p + 1)**2
Let c(q) be the first derivative of -q**3/3 + 2*q**2 - q + 17. Let n(m) = 15*m**2 - 55*m + 15. Let y(k) = 85*c(k) + 6*n(k). Factor y(f).
5*(f + 1)**2
Suppose b - 15 = -6. Suppose -5*m = 5 - 40. Determine u so that -2 - m*u**3 - 5 + b + 16*u**2 - 11*u = 0.
2/7, 1
Let n(i) be the second derivative of i**4/114 - 5*i**3/57 + 6*i**2/19 + 17*i + 2. Factor n(x).
2*(x - 3)*(x - 2)/19
Let n(u) = -u**5 + 2*u**3 - u + 2. Let d(l) = -3*l**5 + 11*l**4 + 48*l**3 +