-1635)/(-56) - 12/(3 + 1). Let p = -189/8 + n. Factor -16/7*v**2 + 8/7*v - 6/7*v**3 + 0 + p*v**4.
2*v*(v + 1)*(3*v - 2)**2/7
Let g(w) be the third derivative of w**6/480 - 13*w**5/240 + 5*w**4/12 - 3*w**3/2 - 40*w**2. Let g(o) = 0. Calculate o.
2, 9
Suppose -3 = 4*b - 3*w, 4*b = -399*w + 401*w + 2. Find z, given that 7/3*z**b + 2/3*z**2 + 0*z + 0 = 0.
-2/7, 0
Let k(g) be the third derivative of -g**8/840 - 2*g**7/525 + 11*g**6/300 + 2*g**5/25 - 3*g**4/5 - 14*g**2. Let k(r) = 0. What is r?
-3, 0, 2
Let p(t) be the first derivative of t**4/6 + 22*t**3/27 + 5*t**2/9 - 2*t/3 - 110. Factor p(u).
2*(u + 1)*(u + 3)*(3*u - 1)/9
Let v = 7 + -1. Suppose -4*m + 18 = 2*a, 0*a + v = m + a. Determine p so that 3/4*p**4 + 3*p - 9/4*p**2 + 3 - 3/2*p**m = 0.
-1, 2
Let f be 324/16*24/9. Solve -20*n**3 + 18 + f*n**2 - 22*n**4 + 6*n**5 - 5*n**5 + 14*n**2 + 78*n + 5*n**5 = 0.
-1, -1/3, 3
Let w = 2477/8 + -2475/8. Factor 1/4*r + 1/4*r**4 + w - 1/2*r**3 - 1/2*r**2 + 1/4*r**5.
(r - 1)**2*(r + 1)**3/4
Let z(a) be the second derivative of 0*a**2 - 45*a + 0*a**3 + 0 - 1/70*a**5 + 5/21*a**4. Let z(m) = 0. What is m?
0, 10
Let z(r) be the third derivative of -r**6/240 - 11*r**5/120 - r**4/6 + 5*r**3/3 + 289*r**2. What is v in z(v) = 0?
-10, -2, 1
Let d = 18 - 6. Suppose -2*x + d = 5*i - 7, 2*i = -x + 8. Find f such that -f**i + 6*f**3 - f**3 + 4*f**4 = 0.
-1, 0
Let y(n) be the third derivative of n + 0 + 7/16*n**4 - 1/40*n**5 - 2*n**2 - 3/2*n**3. Let y(g) = 0. What is g?
1, 6
Let p(l) be the first derivative of l**5/120 - l**4/16 + l**3/6 + 15*l**2/2 - 31. Let n(j) be the second derivative of p(j). Factor n(o).
(o - 2)*(o - 1)/2
Let d = 6659/321 + 63/107. Factor 0*z + 16/3*z**2 - d*z**3 - 12*z**4 + 0.
-4*z**2*(z + 2)*(9*z - 2)/3
Let w(h) be the second derivative of -1/60*h**5 + 0 + 1/18*h**3 + 1/3*h**2 + 12*h - 1/18*h**4. Find g, given that w(g) = 0.
-2, -1, 1
Let q(v) = -15*v**2 + 24*v + 21. Let s(c) = 45*c**2 - 71*c - 62. Let o(l) = -8*q(l) - 3*s(l). Factor o(k).
-3*(k - 2)*(5*k + 3)
Let y be 3/((-2)/4*-6)*2. Factor 2*k**5 + 409*k**y - 409*k**2 + 4*k**3 + 6*k**4.
2*k**3*(k + 1)*(k + 2)
Let h be (-39)/(-24) - (-2)/((-128)/(-24)). Factor 2/11*b**h + 2/11 - 4/11*b.
2*(b - 1)**2/11
Suppose 27*k + 2 - 18 = 38. Factor 1 + 3/4*d + 1/8*d**k.
(d + 2)*(d + 4)/8
Let i(s) = s**3 - 9*s**2 + s - 4. Let j be i(9). Suppose -3*k**2 + 21*k**3 - 23*k**3 + j*k**2 = 0. What is k?
0, 1
Determine b so that -39/10*b - 1/10*b**3 + 13/10*b**2 + 27/10 = 0.
1, 3, 9
Let r = -5 - -49. Suppose 21*d = 19 + r. Solve 21/2*c**3 - d*c**2 - 21/2*c + 3 = 0 for c.
-1, 2/7, 1
Let l(t) be the second derivative of t**5/60 + t**4/4 + 3*t**3/2 + 9*t**2/2 - 8*t + 19. Factor l(o).
(o + 3)**3/3
Find l such that -320 - 10*l - 62*l - 98*l - 5*l**2 = 0.
-32, -2
Let o(w) = -5*w**2 - 130*w - 20. Let u(t) = t + 1. Let g(l) = -o(l) - 20*u(l). What is z in g(z) = 0?
-22, 0
Let j(q) be the first derivative of -q**6/15 + q**4/3 - q**2 + 51*q + 49. Let p(t) be the first derivative of j(t). Solve p(i) = 0.
-1, 1
Suppose 5*a + 11*n = 9*n + 9, a - 12 = 3*n. Factor 4/3*f**2 - 10/3*f**a + 0*f + 0 + 2*f**4.
2*f**2*(f - 1)*(3*f - 2)/3
Let m(v) = v**3 - v + 1. Let p(j) be the third derivative of -j**7/105 + j**6/10 - j**5/30 - j**4/2 + 5*j**3/3 - 6*j**2. Let r(d) = 6*m(d) - p(d). Factor r(n).
2*(n - 2)*(n - 1)**2*(n + 1)
Solve -3659 + 496 - 141*h - 2*h**2 + 32*h - 1445 - 83*h = 0 for h.
-48
Let l(p) = 15*p**4 + 10*p**3 - 45*p**2 - 20*p + 10. Let z(t) = t**4 + t**3 - t**2 + t + 1. Let n(m) = -l(m) + 10*z(m). Factor n(y).
-5*y*(y - 3)*(y + 1)*(y + 2)
Let o(q) = -2*q**3 + 18*q**2 + 24*q - 40. Let t be o(10). Let g(w) be the second derivative of 9*w + 1/36*w**4 + 1/9*w**3 + 0 + t*w**2. Factor g(m).
m*(m + 2)/3
Suppose 4*l - z - 2 = 0, 4*z - 9 = 2*l - 3. Let h be ((-2 - -2)/l)/(19 + -18). Find f, given that -2/5*f**3 - 2/5*f + 6/5*f**4 + h - 6/5*f**2 + 4/5*f**5 = 0.
-1, -1/2, 0, 1
Suppose 0 = 6*w + 32 - 56. Let f(i) be the second derivative of 0*i**2 + 0 + 1/21*i**w + 0*i**3 - 9/70*i**5 - 2*i. Factor f(x).
-2*x**2*(9*x - 2)/7
Let d(z) be the third derivative of 0*z + 0*z**3 + 0*z**4 + 7/200*z**6 - 3/175*z**7 - 1/50*z**5 + 18*z**2 + 0. Factor d(v).
-3*v**2*(2*v - 1)*(3*v - 2)/5
Let l(k) be the second derivative of 5*k**6/6 - 19*k**5/4 - 295*k**4/12 - 205*k**3/6 - 15*k**2 + k + 175. Suppose l(q) = 0. What is q?
-1, -1/5, 6
Let z(h) be the second derivative of h**4/60 - 11*h**3/30 - 13*h**2/5 + 88*h. Factor z(c).
(c - 13)*(c + 2)/5
Let j be (-261)/(-6)*132/506 - 11. Solve j*a + 2/23*a**2 + 8/23 = 0.
-2
Let s(n) = -3*n**2 + 8*n**2 - 1 + 0*n**2 - n**3 - 3*n. Let v be s(4). What is m in 2*m**v + 0*m**2 - 3*m**2 + 0*m**3 + m**2 = 0?
0, 1
Let m be (2/(-2))/(-3 + 2). Let z be 0/(1 - -1 - m). Suppose -3*s + 0*s + z*s - 3*s**3 + 6*s**2 = 0. What is s?
0, 1
Let n(f) = -f**2 + 23*f + 82. Let v be n(26). Let o(i) be the third derivative of 0 + 0*i**3 + 0*i**v + 1/150*i**5 - 1/60*i**6 + 0*i + 2*i**2. Factor o(u).
-2*u**2*(5*u - 1)/5
Let t(o) be the third derivative of -o**7/140 + o**6/40 + 3*o**5/40 - o**4/2 + o**3 - o**2 + 51. Find d, given that t(d) = 0.
-2, 1, 2
Let g = -1786/7 - -256. Suppose -2/7*x**5 + 4/7*x**2 + 2/7*x**4 - 10/7*x - g + 12/7*x**3 = 0. What is x?
-1, 1, 3
Let d(x) be the third derivative of -1/3*x**3 + 0*x + 0*x**4 + 3*x**2 - 1/20*x**5 + 0 - 1/120*x**6. Let n(u) be the first derivative of d(u). Factor n(b).
-3*b*(b + 2)
Suppose -2*t - 4*c = 10, -c + 4*c = -12. Let r = 21989/4 - 5495. Let -3/4*i + 3/4*i**4 - 9/4*i**t + r*i**2 + 0 = 0. What is i?
0, 1
Determine x, given that 45*x**2 + 400 + 38*x**2 - 82*x**2 - 40*x = 0.
20
Let b be (132 - 132)/(2/1). Suppose b - 22/13*v**2 + 8/13*v**3 + 12/13*v = 0. Calculate v.
0, 3/4, 2
Let l(r) be the second derivative of r**6/72 - r**5/4 + 25*r**4/24 - r**3/2 - 12*r. Let y(n) be the second derivative of l(n). Find m such that y(m) = 0.
1, 5
Factor -12*b - 3*b**2 - 8*b - b**2 + 5*b**2.
b*(b - 20)
Let p(q) = -q**3 + 13*q**2 - 13*q + 16. Let h be p(12). Let 143*r**4 - 70*r**4 + 16*r**2 - 69*r**h + 16*r**3 = 0. What is r?
-2, 0
Let x(c) be the first derivative of 1/3*c**3 + 0*c + 0*c**2 + 11 - 1/4*c**4. Factor x(j).
-j**2*(j - 1)
Suppose -37 = -4*a - r + 1, 2*r = a - 14. Let v be 5/(-4) - (45/a)/(-3). Factor 0*m - 1/4*m**3 - v*m**2 + 0.
-m**2*(m + 1)/4
Let z(j) be the second derivative of -j**7/21 + j**6/5 + 7*j**5/10 - 7*j**4/6 - 6*j**3 - 8*j**2 - 106*j. Suppose z(l) = 0. What is l?
-1, 2, 4
Suppose 0 = 15*x - 9*x - 24. Let 6*n**4 + 2 - 2*n**5 + 6*n + 268*n**3 - x - 272*n**3 - 4*n**2 = 0. Calculate n.
-1, 1
Let u(q) = 34*q**3 - 48*q**2 - 100*q - 74. Let f(r) = 7*r**3 - 10*r**2 - 20*r - 15. Let p(z) = -14*f(z) + 3*u(z). What is t in p(t) = 0?
-1, 3
Let m = 227 - 194. Let j = 35 - m. Find w, given that 0*w - 1/3*w**4 + 0 - 1/3*w**5 + 1/3*w**3 + 1/3*w**j = 0.
-1, 0, 1
Factor -20*k**2 - 10*k**3 + 823*k + 4 - 14*k**3 - 4*k**4 - 775*k - 4.
-4*k*(k - 1)*(k + 3)*(k + 4)
Let s(k) = 2*k**2 - 30*k - 24. Let z be s(16). Factor -3*m**2 + 52 - 8*m**2 + z*m**2 - 16 + 3*m.
-3*(m - 4)*(m + 3)
Let r(x) be the first derivative of -2/15*x**3 - 2/5*x**2 - 34 - 2/5*x. Factor r(w).
-2*(w + 1)**2/5
Let f = 579 - 577. Solve -1/2*q**3 + 1 + f*q**2 - 5/2*q = 0.
1, 2
Let w be (-186)/(-72)*2/5. Let a = w + 1/6. Determine q so that -a + 3/5*q + 3/5*q**2 = 0.
-2, 1
Let w = -133 - -135. Suppose 74*l**4 - 5*l**5 + 21*l**w - 71*l**2 - 24 + 47*l**3 + 104*l - 137*l**3 - 9*l**5 = 0. Calculate l.
-1, 2/7, 1, 2, 3
Let s be (0 + -3 + 8)*2. Let o be (114/(-5))/(-6) - 2/s. Find a such that -o*a**3 + 2/5*a + 0 + 6/5*a**2 + 2*a**4 = 0.
-1/5, 0, 1
Let a(k) = -k**3 - 2*k**2 - k + 2. Let p be a(-1). Solve -8*g**3 + 16/3*g**p + 2/9 + 22/9*g = 0 for g.
-1/6, 1
Let h = 1211/88 - 150/11. Let v(d) be the third derivative of -4*d**2 + 0 + h*d**4 + 0*d**3 + 1/20*d**5 + 0*d. Suppose v(c) = 0. What is c?
-1, 0
Let l(i) be the first derivative of i**6/2 + 9*i**5/5 - 4*i**3 + 225. Solve l(t) = 0 for t.
-2, 0, 1
Factor -1/2*j - 1/4*j**2 + 0.
-j*(j + 2)/4
Suppose 3*t + 7*i - 6*i = 13, 4*i - 17 = -5*t. Let x be 24/4 - 30/t. Suppose -2/13*z**2 + 0 + 2/13*z**5 + 2/13*z**4 - 2/13*z**3 + x*z = 0. Calculate z.
-1, 0, 1
Let r(n) be the first derivative of n**4/6 + 2*n**3 + 5*n**2 - 50*n/3 + 6. Factor r(y).
2*(y - 1)*(y + 5)**2/3
Let f be (0 - 9)*(-11 - (-128)/1