11 + p. Factor 0 - 2/11*x**5 - l*x**4 - 2/11*x**3 + 0*x**2 + 0*x.
-2*x**3*(x + 1)**2/11
Let a(j) be the first derivative of -1/4*j**3 - 1/40*j**5 + 7*j + 1/6*j**4 + 0*j**2 + 4. Let m(y) be the first derivative of a(y). Let m(i) = 0. What is i?
0, 1, 3
Factor -57*i + 170 - 33*i**2 + 89*i**3 - 182 - 77*i**3.
3*(i - 4)*(i + 1)*(4*i + 1)
Let z(i) = 92*i**2 + 6*i - 9. Let t be z(2). Determine m so that 371*m - t*m - 4*m**2 = 0.
0
Let d(c) be the first derivative of 121*c**4/4 + 407*c**3/3 + 68*c**2 + 12*c + 240. Factor d(z).
(z + 3)*(11*z + 2)**2
Let h = -790 - -792. Let j(q) be the first derivative of -2/15*q**5 + 2/3*q**h + 0*q**3 + 3 + 2/3*q - 1/3*q**4. Solve j(o) = 0.
-1, 1
Let m = -115 - -118. Let q be m/10 + 372/360. Factor 2*x**2 + q*x + 0 + 2/3*x**3.
2*x*(x + 1)*(x + 2)/3
Let m(w) be the third derivative of w**6/40 + 13*w**5/20 + 51*w**4/8 + 63*w**3/2 - 52*w**2. Factor m(y).
3*(y + 3)**2*(y + 7)
Solve 11*r**2 - 40*r - 43*r**2 - 5*r**3 + 20 + 21*r**2 + 36*r**2 = 0.
1, 2
Let g(v) be the second derivative of v**4/16 + 3*v - 19. Factor g(h).
3*h**2/4
Determine q so that -2/5*q**2 - 108/5*q + 22 = 0.
-55, 1
Let a be -27 + 6 + 28 - 55/9. Let 4/3 + a*w - 4/9*w**2 = 0. What is w?
-1, 3
Let r be 0/(10/(-8) + 84/(-112)). Factor -3/8*g**2 + r*g + 0 + 3/8*g**3.
3*g**2*(g - 1)/8
Factor -2/5*v**4 - 24/5*v**2 + 16/5*v + 12/5*v**3 + 0.
-2*v*(v - 2)**3/5
Let u(c) be the second derivative of -5*c**7/399 + 2*c**6/285 + c**5/38 - c**4/57 - 434*c. Find t such that u(t) = 0.
-1, 0, 2/5, 1
Let n(u) = 3*u**2 + 993*u + 25021. Let l(i) = -i**2 - 496*i - 12512. Let m(f) = -7*l(f) - 4*n(f). Let m(c) = 0. Calculate c.
-50
Let g be ((-22)/8)/((-3)/(-12)). Let n = -8 - g. Determine t so that 12*t**2 - 6*t**n + 2 - 12*t**4 + 7*t + 2*t - 2 - 3*t**5 = 0.
-3, -1, 0, 1
Let h = -305/14 + 22. Let c = h + 13/70. Solve c*w + 0 + 2/5*w**5 + 0*w**2 + 0*w**4 - 4/5*w**3 = 0 for w.
-1, 0, 1
Let c be (-3 - 196/(-35)) + (-51)/(-15) + -3. Suppose 2*o = -0*o + 4. Let 4/3 - 16/3*h**c + 4/3*h**4 - 16/3*h + 8*h**o = 0. Calculate h.
1
Let o(k) = k**2 - 38*k + 9. Let z be o(38). Suppose 0 = 6*s - z - 9. Solve 2/3*h**5 - 2*h**4 + 0 - 4/3*h + 2*h**2 + 2/3*h**s = 0 for h.
-1, 0, 1, 2
Factor 0*p - p + 67 - p**2 - p**3 - 66 + 2*p.
-(p - 1)*(p + 1)**2
Let c = 2260 - 11298/5. Factor -2/5*b**2 + 4/5*b - c.
-2*(b - 1)**2/5
Let j(a) be the third derivative of -1/40*a**6 + 0 - 4*a**3 - 26*a**2 + 0*a + 1/2*a**4 + 1/10*a**5. What is l in j(l) = 0?
-2, 2
Let t(m) be the third derivative of 0*m**5 - 1/300*m**6 + 0*m**4 - 1/840*m**8 + 2/525*m**7 + 0 + 0*m**3 + 0*m - 7*m**2. Factor t(z).
-2*z**3*(z - 1)**2/5
Let z(q) be the first derivative of 3/4*q + 1/8*q**4 + 12 + 1/20*q**5 - 1/3*q**3 - 1/4*q**2. Determine h so that z(h) = 0.
-3, -1, 1
Let s(h) be the first derivative of -1/48*h**4 + 0*h**2 - 2*h - 1/24*h**3 + 8. Let o(g) be the first derivative of s(g). Factor o(l).
-l*(l + 1)/4
Suppose 4*k - 4*z = 24, -3*k - 3*z = 2*k + 2. Let n(o) = o**3 + 2*o**2 - 2*o - 1. Let s be n(-2). Find d such that s - 3 - 3*d**k = 0.
0
Suppose -2*m - 21 = 9. Let u be 8/10*3*m/(-126). Factor 0*l**3 + u*l**5 + 2/7*l**4 + 0*l + 0*l**2 + 0.
2*l**4*(l + 1)/7
Let d(a) = -a**2 - 6*a + 1. Let c be d(-6). Let q be (3/2)/(c/2). Factor 3*u**4 + 6*u**q - 118*u**2 - 3 - 6*u + 118*u**2.
3*(u - 1)*(u + 1)**3
Let r be (-2 + (-714)/(-4))/(14/12). Let y = r + -151. Factor -2/7*i**5 + 0 + 0*i - 4/7*i**4 - y*i**3 + 0*i**2.
-2*i**3*(i + 1)**2/7
Let a(d) be the second derivative of -d**7/35 - 16*d**6/75 + 9*d**5/50 + 37*d**4/15 - 32*d**3/5 + 32*d**2/5 - 41*d + 1. Determine p, given that a(p) = 0.
-4, 2/3, 1
Let q(w) = w**2 + 3*w + 2. Let h(b) = -9*b**2 - 12*b - 11. Let x(v) = 8*v**2 + 13*v + 11. Let u(s) = 2*h(s) + 3*x(s). Let y(j) = 11*q(j) - 2*u(j). Factor y(r).
-r*(r - 3)
Let x be (20/(-25))/((-6)/15). Determine o, given that 18*o - x*o**2 - 19*o + 0*o**2 = 0.
-1/2, 0
Let i = 6 - 2. Suppose 3*u = -5*f + 97, i*f = 2*u + u + 56. Factor -16*d - 2*d**2 - d**4 + f - 25 + 0*d**3 + 3*d**4 - 2*d**5 + 10*d**3.
-2*(d - 2)**2*(d + 1)**3
Determine o, given that -90*o - 130 + 5*o**4 - 84*o**2 + 90 + 29*o**2 = 0.
-2, -1, 4
Let q(l) be the second derivative of l**5/20 + 7*l**4/12 - 3*l**3 + 51*l. What is w in q(w) = 0?
-9, 0, 2
Let g = 59 - 15. Let j be (-2)/(-2) + (-36)/g. Factor -4/11 + 2/11*b**2 - j*b.
2*(b - 2)*(b + 1)/11
Factor -51200*n + 8192000/3 - 2/3*n**3 + 320*n**2.
-2*(n - 160)**3/3
Let k(i) be the third derivative of 5*i**8/48 + 11*i**7/14 + 23*i**6/12 + i**5 - 5*i**4/3 - 635*i**2. Let k(r) = 0. Calculate r.
-2, -1, 0, 2/7
Suppose 0 = -20*k - 55 + 135. Suppose -3*d - 2*d = u - 18, 0 = -d + u + 6. Factor -3*g**2 - 2*g**d - 4*g**k - 3*g**5 + 3*g**2.
-3*g**4*(g + 2)
Solve 0 + 4/11*c**2 + 0*c + 2/11*c**3 - 2/11*c**4 = 0.
-1, 0, 2
Suppose 0 = 15*q - 14 - 16. Factor 4*f**3 - 19*f - 11*f - 11*f**2 + 10*f + 7*f**q - 12.
4*(f - 3)*(f + 1)**2
Let r(u) be the third derivative of -2/135*u**5 - 1/36*u**4 + 1/540*u**6 + 0*u + 0 + 2/3*u**3 - 13*u**2. Factor r(v).
2*(v - 3)**2*(v + 2)/9
Let h(t) = -23*t - 1656. Let o be h(-72). Solve 2/3*d**2 - 1/3*d**4 + o - 1/3*d**3 + 0*d = 0 for d.
-2, 0, 1
Let n(l) be the second derivative of -l**5/10 - l**4/3 + l**3 + 6*l + 1. Suppose n(r) = 0. Calculate r.
-3, 0, 1
Let n(v) = -1 - v**3 + v**2 + 5*v**3 - v**3 - 4*v**3. Let d(h) = 5*h**3 + 4*h**2 + 3*h + 2. Let g(i) = d(i) + 2*n(i). Let g(y) = 0. Calculate y.
-1, 0
Factor -4 - 3*p**2 + 4 + 5*p**4 + 25*p**3 + 4*p**2 + 34*p**2 + 15*p.
5*p*(p + 1)**2*(p + 3)
Let i be 5 + -3 - (-13118)/(-56). Let v = 233 + i. Factor 1/4*n**4 - 1/4*n**3 - v*n**2 - 1/2 + 5/4*n.
(n - 1)**3*(n + 2)/4
Let n(g) be the third derivative of g**5/20 + 7*g**4/8 + 3*g**3 - g**2 + 10. Find d such that n(d) = 0.
-6, -1
Let w(v) = v + 59. Let b be w(0). Let d = b + -117/2. Find t such that d - t**2 + 1/2*t = 0.
-1/2, 1
Let u be (21/(-84))/(2/(-536)). Let w = u - 65. Factor -12 - 3/4*r**w - 6*r.
-3*(r + 4)**2/4
Let x(k) be the second derivative of k**5/140 + k**4/28 + k**3/14 - k**2 - 2*k. Let o(g) be the first derivative of x(g). Suppose o(y) = 0. What is y?
-1
Suppose 4*s + 9 = -5*z, -3*s = -6*z + z - 37. Let j be (-2)/3*66/(-4). Factor -j*g + s*g + 3*g**2 + 10*g.
3*g*(g + 1)
Let x be -1*12*(264/32)/(-11). Find l such that -14*l**4 + 22*l + x*l - 37*l**2 + l + 38*l**3 + 2*l**5 - 8 - 13*l**2 = 0.
1, 2
Let n be 3/4 + (-26)/(-8). Suppose -3*c = -n*z - 66, 3*c - 2*c = -4*z + 38. Factor 10*r**3 + 50*r + 5*r**4 - c + 20*r**3 + 60*r**2 + 41.
5*(r + 1)**3*(r + 3)
Let c(l) be the first derivative of -l**4 - 28*l**3/3 + 10*l**2 + 300*l - 76. Factor c(d).
-4*(d - 3)*(d + 5)**2
Let s(f) be the second derivative of 12*f**5/5 + 62*f**4 + 121*f**3/2 + 45*f**2/2 + 4*f - 9. Factor s(t).
3*(t + 15)*(4*t + 1)**2
Let c = 2 - -1. Let p be 205/40 - (-3)/(-24). Factor -3*z**2 + 1 - c*z + 6*z + p.
-3*(z - 2)*(z + 1)
Let j(f) = 11*f - 231. Let z be j(21). Suppose -4*k + 0 = -0. Factor z*l**2 + 0*l**3 - 2/9*l**4 - 2/9*l**5 + 0 + k*l.
-2*l**4*(l + 1)/9
Let h(b) = 2*b**3 - 118*b**2 + 1448*b - 5. Let s(j) = 2*j**3 - 120*j**2 + 1446*j - 6. Let t(y) = -6*h(y) + 5*s(y). Find k such that t(k) = 0.
0, 27
Let n(x) = -3*x**2 - x. Let d be n(-1). Let b be 1*d - (-12)/2. Determine h so that 22*h**2 + 7*h**4 - 11*h**4 + 34*h**4 - b + 58*h**3 - 10*h = 0.
-1, -1/3, 2/5
Let j(i) be the first derivative of -3*i**5/5 + 3*i**4 + 5*i**3 - 87. Let j(n) = 0. What is n?
-1, 0, 5
Let u be 0/(0 + (-8 - -4)). Suppose 5*a = -0*a - 5, 4*i + 4*a - 4 = u. Factor 1/4*z**i + 0*z + 0.
z**2/4
Let m = -2149 + 2152. Suppose 4*g + g - 25 = 0. Suppose 33/8*k**4 - k + 7/8*k**m - 37/8*k**2 + 9/8*k**g + 3/2 = 0. What is k?
-3, -1, 2/3
Let k(a) be the first derivative of -a**4/32 - 23*a**3/24 - 15*a**2/2 + 18*a - 54. Determine z, given that k(z) = 0.
-12, 1
Let i(g) be the first derivative of -g**8/1050 + g**7/700 + g**6/900 + 13*g**3/3 - 8. Let a(w) be the third derivative of i(w). What is q in a(q) = 0?
-1/4, 0, 1
Let j(c) be the third derivative of -c**9/22680 - c**8/5040 + c**4/4 - c**2. Let w(u) be the second derivative of j(u). Factor w(t).
-2*t**3*(t + 2)/3
Let l be (-4)/(-10) + 40/25. Suppose -l*v - 36 = -6*v. Determine y so that 12*y**2 + 12*y - 2*y**3 + 13 + 6*y**3 - v = 0.
-1
Let m = -29 + 32. Suppose -v - 1 = -m. Factor -6*r**2 + 4*r - 19*r + 0*r**v + r**2.
-5*r*