(m) = m**3 - 3*m + 3. Let v be i(-2). Let p be 44/242*v*2. Factor p - 6/11*h + 2/11*h**3 + 0*h**2.
2*(h - 1)**2*(h + 2)/11
Solve -3/2*y**4 + 2*y + 1/6*y**5 + 0 + 9/2*y**3 - 31/6*y**2 = 0 for y.
0, 1, 3, 4
Factor 3/7*c**4 - 12/7*c**2 + 0 + 9/7*c**3 + 0*c.
3*c**2*(c - 1)*(c + 4)/7
Factor 4/3*r**3 - 4/3*r**2 - 32/3*r + 16.
4*(r - 2)**2*(r + 3)/3
Let t(b) be the third derivative of 0 - b**2 - 1/330*b**5 - 16/33*b**3 - 2/33*b**4 + 0*b. Suppose t(k) = 0. Calculate k.
-4
Let -3/5*v**4 - 7/5*v**3 + 9/5*v**2 - 6/5 + 7/5*v = 0. Calculate v.
-3, -1, 2/3, 1
Let g = -83 - -85. Suppose -g = -6*t + 5*t. Solve -1/6*j**t + 0*j + 0 + 1/2*j**3 = 0 for j.
0, 1/3
Suppose -3*l - 5 = -8*l + 2*s, -10 = 5*l - 5*s. Solve 11*o**2 + 122*o**l - 117*o**3 + 19*o**2 = 0 for o.
-6, 0
Factor 92*d**2 + 8 + 81/2*d**4 + 144*d**3 - 64*d.
(d + 2)**2*(9*d - 2)**2/2
Let a(c) = 6*c**3 + 54*c**2 - 27*c - 30. Let h(y) = 12*y**3 + 109*y**2 - 53*y - 61. Let i(v) = -7*a(v) + 3*h(v). What is x in i(x) = 0?
-9, -1/2, 1
Find w such that -90*w - 25 - 51*w**2 + 6*w**3 + 3*w - 5 = 0.
-1, -1/2, 10
Let u(r) = -3*r**2 - 3*r**3 + 7*r + 3*r - 7*r - 3*r**2. Let x(a) = -3*a**3 - 6*a**2 + 2*a. Let s(g) = -5*u(g) + 6*x(g). Factor s(w).
-3*w*(w + 1)**2
Let d(l) = -l**4 - l**3 + l**2 + l. Let f(a) = -24*a**4 - 18*a**3 + 9*a**2 + 3*a. Let t(b) = 3*d(b) - f(b). Factor t(r).
3*r**2*(r + 1)*(7*r - 2)
Let i be 1*(-1 + 6) - (-10 + 15). Let g(u) be the third derivative of i*u**5 + 0*u**3 + 0 + 9*u**2 + 0*u**4 - 1/1470*u**7 + 0*u + 0*u**6. Solve g(v) = 0.
0
Let o(z) be the third derivative of -z**8/17920 - z**7/1680 - z**4/3 + 6*z**2. Let m(d) be the second derivative of o(d). Factor m(u).
-3*u**2*(u + 4)/8
Let m(d) be the first derivative of 2*d**3/9 - 16*d**2/3 - 34*d/3 + 163. Let m(a) = 0. Calculate a.
-1, 17
Let x(h) = -h. Let i be x(-5). Factor 10*j**2 - 44*j**3 + 2*j**5 + 16*j**4 - 18*j + 38*j**2 - 4*j**i.
-2*j*(j - 3)**2*(j - 1)**2
Suppose 5*r + p = -11, -4*r - 28 = -0*p - 4*p. Let n be r/(-45) + (-1)/(-3). Solve 6/5*y + n*y**2 + 4/5 = 0.
-2, -1
Let j(a) = -5*a**3 - 25*a**2 + 26*a. Let p(b) = 25*b**3 + 125*b**2 - 128*b. Let w(q) = 11*j(q) + 2*p(q). Factor w(z).
-5*z*(z - 1)*(z + 6)
Find f, given that 0 - 10/11*f**3 + 0*f - 2/11*f**4 - 12/11*f**2 = 0.
-3, -2, 0
Suppose -7*j + 18 - 4 = 0. Let u(o) be the second derivative of -5/3*o**3 + 0 + 7*o + j*o**2 + 2/3*o**4 - 1/10*o**5. Determine l so that u(l) = 0.
1, 2
Let p = 25 - -3. Let q = -25 + p. Suppose 36*f**4 - 14*f**5 - 5 - 4*f**5 - 30*f**2 + 6*f**5 + 27*f - 15*f**q - 1 = 0. Calculate f.
-1, 1/2, 1, 2
Let r(w) = 8*w + 50. Let y be r(-7). Let q be (-18)/15*y/((-12)/(-5)). What is c in -3/2*c**2 - 3 - 21/4*c + 3/4*c**q = 0?
-1, 4
Let j(d) = 37*d**3 - 117*d**2 + 102*d - 18. Let b(i) = -149*i**3 + 469*i**2 - 409*i + 71. Let y(a) = -2*b(a) - 9*j(a). Factor y(h).
-5*(h - 2)*(h - 1)*(7*h - 2)
Let m(w) = 6*w**3 - 5*w**2 + 7. Let s(v) = v**3 + v**2 + 1. Let x(b) = 5*m(b) - 35*s(b). Factor x(f).
-5*f**2*(f + 12)
Suppose 2/5*t**3 - 72/5 - 48/5*t - 2/5*t**2 = 0. What is t?
-3, -2, 6
Suppose -16*p + 17*p = -48*p. Let g(i) be the first derivative of 0*i + 2/3*i**3 - 2/5*i**5 + 0*i**2 + p*i**4 + 13. Factor g(k).
-2*k**2*(k - 1)*(k + 1)
Let y = -9 + 13. Suppose b = 3*b - y. Suppose 4*t**b + t**3 - t - 2 - 4*t**2 + 2*t**2 = 0. Calculate t.
-2, -1, 1
Suppose -8 = -2*n + 102. Solve -72*x**2 + 12*x - 33*x**4 + 6*x**4 + 32*x**3 + n*x**3 = 0 for x.
0, 2/9, 1, 2
Let g(x) be the second derivative of x**7/105 + 2*x**6/25 + x**5/5 - 11*x**3/15 - 6*x**2/5 + x. Suppose g(h) = 0. What is h?
-3, -2, -1, 1
Let n be 40/42 - 4/6. Suppose d + 4*v = -38, -2*v + 2050 - 2068 = d. Find r such that 0*r - n + 2/7*r**d = 0.
-1, 1
Determine p so that -3*p**3 - 33*p**2 - 85 - 41 - 28*p + 120*p + 42 + 28*p = 0.
-14, 1, 2
Let u(a) be the first derivative of 22*a**3/3 - 3*a**2 - 790. Factor u(x).
2*x*(11*x - 3)
Let d(i) be the first derivative of -1/44*i**4 - 4/33*i**3 - 5 - 2/11*i**2 + 0*i. Factor d(j).
-j*(j + 2)**2/11
What is p in 32*p**3 - 15 - 40*p**2 + 32*p**3 - 68*p**3 - 17 - 68*p = 0?
-8, -1
Let a(n) be the third derivative of -n**7/28 - 23*n**6/80 - n**5/8 + 51*n**4/16 - 9*n**3/2 + 22*n**2 - 2*n. Determine w, given that a(w) = 0.
-3, 2/5, 1
Let c be 85/35 + (-6)/14. Let u(a) = 2*a**3 - 3*a + 1. Let v be u(c). What is p in -3*p**2 + 13*p - 1 + 2*p - v = 0?
1, 4
Suppose 5*n - 6 = -4*b + 5, -5*b = 5*n - 15. Find q such that -4*q**2 - 4/3*q**3 + 4/3*q + b = 0.
-3, -1, 1
Suppose 16541*k + 30 = 16551*k. Factor -2/3*m**k + 0 + 1/6*m**2 - 1/2*m**4 + 1/3*m.
-m*(m + 1)**2*(3*m - 2)/6
Let w(b) = -1. Let n(v) = -5*v - 13. Let c(u) = n(u) - 5*w(u). Let x be c(-2). Factor 2/5*p**3 + 2/5*p - 4/5*p**x + 0.
2*p*(p - 1)**2/5
Let f(n) be the third derivative of -n**6/900 + n**4/45 - 92*n**2. What is k in f(k) = 0?
-2, 0, 2
Let g(p) = 5*p**2 - 6*p - 29. Let a(b) = 9*b**2 - 13*b - 55. Let f(o) = -6*a(o) + 11*g(o). Find v such that f(v) = 0.
-11, -1
Let l(p) be the second derivative of 0 - 7/20*p**5 + 5/36*p**4 + 0*p**2 + 24*p + 1/18*p**7 + 1/30*p**6 + 1/3*p**3. Let l(x) = 0. Calculate x.
-2, -3/7, 0, 1
Let t(r) be the first derivative of 2048*r**3/39 - 448*r**2/13 + 98*r/13 + 414. Factor t(g).
2*(32*g - 7)**2/13
Factor 2/3*l**3 + 3888 + 648*l + 36*l**2.
2*(l + 18)**3/3
Determine l so that -9173*l**2 + 4501*l**2 - 8 + 106*l**4 + 80*l - 46*l**3 - 34*l**5 + 4574*l**2 = 0.
-1, 2/17, 1, 2
Let l be (-4)/(40/(-638)) - 5/(-25). Let x = -64 + l. Factor -1/6*h**2 - 1/2*h + x.
-h*(h + 3)/6
Let d(w) be the third derivative of -w**6/60 + 13*w**5/5 - 120*w**4 - 3200*w**3/3 - 60*w**2 + 5*w. Factor d(l).
-2*(l - 40)**2*(l + 2)
Let d(b) = 59*b + 62. Let h be d(-7). Let g = h + 3163/9. What is v in g*v**2 + 2/9*v**5 + 0 - 4/9*v**4 - 2/9*v + 0*v**3 = 0?
-1, 0, 1
Let p(o) be the second derivative of -2*o**7/7 - 22*o**6/15 + 43*o**5/5 - o**4/3 - 80*o**3/3 + 24*o**2 - 6*o - 16. Suppose p(x) = 0. Calculate x.
-6, -1, 1/3, 1, 2
Let f = -761 + 763. Factor 0 + 0*p**3 + 5/4*p**f - 5/4*p**4 + 0*p.
-5*p**2*(p - 1)*(p + 1)/4
Let f(k) = -2*k**5 - k**4 - k**3 + k**2 + 1. Let q(b) = -3*b**5 + 2*b**4 + b**3 - 2*b**2 - 4*b + 2. Let a(n) = -2*f(n) + q(n). Determine l so that a(l) = 0.
-2, -1, 0, 1
Let w(t) = -3*t - 4. Let i be w(-2). Suppose -8 = -i*d - 5*b, 5*d - 2*d - 12 = -3*b. Let -3/4*c**3 + 0 + 0*c + 0*c**2 - 3/4*c**5 - 3/2*c**d = 0. Calculate c.
-1, 0
Let t(o) be the second derivative of o**4/6 - 36*o**2 - 305*o. Solve t(m) = 0.
-6, 6
Let i(g) be the first derivative of g**6/1440 - g**5/80 + 3*g**4/32 + 40*g**3/3 + 47. Let x(b) be the third derivative of i(b). Factor x(h).
(h - 3)**2/4
Let m(w) be the first derivative of w**5/3 + 16*w**4/3 + 8*w**3 + 3*w**2/2 + 20. Let o(q) be the second derivative of m(q). Solve o(c) = 0.
-6, -2/5
Let a be ((-5)/10)/(45/(-60)). Let d(w) be the third derivative of -11/12*w**4 + 0*w + 7/12*w**5 + 7*w**2 - 5/48*w**6 + a*w**3 + 0. Factor d(y).
-(y - 2)*(5*y - 2)**2/2
Let y = 1769/1584 + -1/176. Let s = 791/2466 + -27/274. Determine p, given that -s*p**3 + y*p**2 - 16/9*p + 8/9 = 0.
1, 2
Let l(d) = -d**4 + 19*d**3 + 20*d**2 - 2*d + 2. Let u(i) = 4*i**4 - 40*i**3 - 41*i**2 + 5*i - 5. Let c(m) = -5*l(m) - 2*u(m). Factor c(v).
-3*v**2*(v + 2)*(v + 3)
Factor -6*u**2 + 0*u**2 + 4*u**2 - 40*u + 0*u**2 + u**2.
-u*(u + 40)
Suppose -3*n - 2*n = -85. Let b(a) = a**3 - 17*a**2. Let z be b(n). Determine m, given that 2*m**4 + z*m**5 - m**5 - m**3 + 2*m**3 + 2*m**5 = 0.
-1, 0
Suppose -4*x = 4*r + 4, -23 = x - 6*x + 2*r. Suppose 0 = -2*w + 9 - x. Let 0 - 2/9*p**w + 0*p - 2/9*p**4 + 4/9*p**2 = 0. Calculate p.
-2, 0, 1
Let v(o) = -3*o**3 + 2*o**2 - 7*o. Let d(g) = 8*g + 8*g**2 - 4*g**2 + 4*g**3 - 6*g**2. Let n(x) = 4*d(x) + 5*v(x). Solve n(y) = 0.
-3, 0, 1
Let g(x) be the first derivative of -4/5*x - 7 - 8/15*x**3 + 9/5*x**2. Factor g(r).
-2*(r - 2)*(4*r - 1)/5
Let u(v) be the second derivative of v**4/28 - 69*v**3/7 + 14283*v**2/14 - v - 16. What is b in u(b) = 0?
69
Suppose 20*g - 6*g = -58*g. Let t(p) be the third derivative of 1/144*p**6 + 0 + g*p + 1/9*p**3 + 1/9*p**4 + 11*p**2 + 17/360*p**5. Factor t(r).
(r + 1)*(r + 2)*(5*r + 2)/6
Let n = -7 + -4. Let w = 14 + n. Factor 7*u**w + 2 - 2*u**2 - 9*u**3 - u + 3*u**3.
(u - 2)*(u - 1)*(u + 1)
Let t(d) be the first derivative of 7 + 12*d - 3*d**3 + 0*d**2 - 3/4*d**4. Factor 