3*v + 1/4*v**4. Factor z(h).
3*(h + 6)**2
Let b(x) be the second derivative of -x**4/18 - 16*x**3/9 - 64*x**2/3 + 2*x - 10. Determine s, given that b(s) = 0.
-8
Let o(w) be the third derivative of -w**6/120 - w**5/40 - 2*w**3 + 2*w**2. Let u(v) be the first derivative of o(v). Suppose u(g) = 0. What is g?
-1, 0
Let h(u) = -u**4 + u**3 - 2*u**2 - u - 1. Let a(l) = 7*l**4 - 15*l**3 + 6*l**2 + 19*l + 3. Let o(b) = -a(b) - 3*h(b). Factor o(k).
-4*k*(k - 2)**2*(k + 1)
Suppose 3*q = 2*p + 5 - 26, 3*q + 27 = 4*p. Find z such that -6*z - 12*z**p - 96*z**4 + 2*z**5 + 0*z**5 + 96*z**4 - 16*z**2 = 0.
-1, 0, 3
Let t = -33464/21 - -1594. Let v = 8/7 - t. Factor v*p**2 + p + 1/3.
(p + 1)*(2*p + 1)/3
Let j(o) be the second derivative of -o**6/360 + o**5/20 - 5*o**4/24 - 5*o**3/2 - 14*o. Let b(u) be the second derivative of j(u). Factor b(z).
-(z - 5)*(z - 1)
Suppose -4*z - 4*w + 5*w - 38 = 0, 8 = -4*w. Let g be 5/1*(-4)/z. Suppose -g*v + 4/3 + 2/3*v**2 = 0. Calculate v.
1, 2
Let l(f) = f**2 - 2*f + 1. Let x be l(3). Let 45*r**2 - x*r + 4*r**3 - 45*r**2 = 0. What is r?
-1, 0, 1
Find c, given that 3*c**2 - 33*c**2 + 60*c**3 + 20*c**4 + 55*c**3 = 0.
-6, 0, 1/4
Let u be -3 + (-6)/(-6) + -1 + 3. Factor u*a + 1/6*a**2 + 0 + 1/6*a**4 + 1/3*a**3.
a**2*(a + 1)**2/6
Suppose 64*p**4 + 0*p + 0*p**2 - 2/3*p**5 + 0 - 1536*p**3 = 0. Calculate p.
0, 48
Let x be 55/88*(-22)/(-5). Let s = 3 - x. Find i such that -s*i**2 - 3/4*i + 0 = 0.
-3, 0
Suppose 0 = 4*u - 2*m - 18, u - 5*u = -4*m - 24. Let i(q) be the second derivative of 6*q + 0 + 1/8*q**2 + 0*q**u - 1/48*q**4. Factor i(x).
-(x - 1)*(x + 1)/4
Let a(k) be the third derivative of 2*k**7/315 - 2*k**6/45 + k**5/15 - 206*k**2. Factor a(t).
4*t**2*(t - 3)*(t - 1)/3
Let a = 191/184 - -2/23. Let x = 37/26 + -31/104. Let x*t**3 - 3/8*t**4 + 0 - a*t**2 + 3/8*t = 0. What is t?
0, 1
Let v be (-28)/(-84) + 9/(-15) + (-184)/(-240). Factor 3 - 3*s**2 + 1/2*s - v*s**3.
-(s - 1)*(s + 1)*(s + 6)/2
Let j be 2 - (4 - (-4)/(-2)). Suppose j = -5*c + 8*c - 12. Factor 0*m - 4/9*m**2 - 2/9*m**c + 2/3*m**3 + 0.
-2*m**2*(m - 2)*(m - 1)/9
Let h = 394 + -109. Let z = h - 1423/5. Let 1/5*y - z*y**2 + 1/5*y**3 + 0 = 0. Calculate y.
0, 1
Let w be 5 - (40 - 4)/18. Factor 16/7*y**2 + 0 + 16/7*y**w + 4/7*y**4 + 0*y.
4*y**2*(y + 2)**2/7
Let q be 5226/3640 + 3/(-4). Let l = q + -2/5. Find z, given that l*z**2 - 4/7 + 2/7*z = 0.
-2, 1
Let x(a) = 17*a**3 + 141*a**2 + 130*a - 6. Let s(h) = -2*h**3 - h**2 + 1. Let o(d) = -6*s(d) - x(d). Factor o(f).
-5*f*(f + 1)*(f + 26)
Suppose 0 = 4*t - 1 - 7. Let z = -107094 - -535474/5. Determine n, given that 1/5*n**t + 3/5*n - z = 0.
-4, 1
Let q = 29 - 25. Let l(c) = -c**4 + 6*c**3 - 3*c**2 - 5. Let j(w) = 6*w**3 - 2*w**2 - 4. Let h(x) = q*l(x) - 5*j(x). Suppose h(g) = 0. What is g?
-1, -1/2, 0
Let t be (-1845)/(-656)*(-8)/(-6). Factor t*u - 3/2 - 3/2*u**2.
-3*(u - 2)*(2*u - 1)/4
Factor 20/3 - 19/3*k + 11/6*k**2 - 1/6*k**3.
-(k - 5)*(k - 4)*(k - 2)/6
Let q(a) be the first derivative of 7 - 2/15*a**3 + 2/5*a**2 + 0*a - 1/10*a**4. Factor q(b).
-2*b*(b - 1)*(b + 2)/5
Suppose -10 = -5*y + 10. Suppose 0 = -5*i + y*i + 3. Suppose p + p - p**2 - 4*p + p + p**i + 1 = 0. Calculate p.
-1, 1
Let w(n) be the third derivative of n**8/448 + n**7/40 + 17*n**6/160 + 17*n**5/80 + 3*n**4/16 + 16*n**2 - 1. Determine k so that w(k) = 0.
-3, -2, -1, 0
Let y = 4/89 - -49/890. Let v(i) be the third derivative of 0*i**3 + y*i**5 + 1/40*i**6 + 0*i**4 + 0 - 3*i**2 + 0*i. Let v(s) = 0. Calculate s.
-2, 0
Suppose 2*a = c - 3, -2*c = a - c + 3. Let j be a + -4 + 35/15 + 4. Factor -8/3*i**2 + 5/3*i**5 + j*i + 6*i**3 + 0 - 16/3*i**4.
i*(i - 1)**3*(5*i - 1)/3
Let b(v) = -9*v**3 - 5*v**2 - 22*v + 4. Let u(s) = 2*s**3 - s**2 + s - 1. Let c(k) = 3*b(k) + 12*u(k). Suppose c(a) = 0. Calculate a.
-6, -3, 0
Let b(y) be the third derivative of 1/150*y**5 + 0 - 1/3*y**4 + 0*y + 11*y**2 + 20/3*y**3. Let b(r) = 0. Calculate r.
10
Let n be (2*1/(-10))/((-45)/15). Let j(z) be the third derivative of -1/4*z**4 + 0*z**3 + 0*z + n*z**5 - 3*z**2 + 1/60*z**6 + 0. Let j(h) = 0. What is h?
-3, 0, 1
Factor o**4 + 12 + 11/4*o**2 - 22*o + 25/4*o**3.
(o - 1)*(o + 4)**2*(4*o - 3)/4
Suppose -19*i = 34*i - 212. Let 14*l + 1/4*l**5 + 11/4*l**4 + 73/4*l**2 + 43/4*l**3 + i = 0. What is l?
-4, -1
Suppose 4 = -3*a - 5*j, 5*a + 4*j = -0*a + 2. Factor -2/9*c**a + 0 - 2/3*c.
-2*c*(c + 3)/9
Let f be 40/180*(3 - (2 + -8)). Factor -3/2 - z + 1/2*z**f.
(z - 3)*(z + 1)/2
Let x(r) be the third derivative of -1/6*r**3 + 0 + 0*r + 1/5*r**5 - 11/24*r**4 + 10*r**2. Factor x(g).
(g - 1)*(12*g + 1)
Suppose -2*r + 4*j + j + 4 = 0, 2*r - 4 = j. Determine q so that 17*q**2 + q**4 + 6*q**3 + r*q**4 - 14*q**2 + 0*q**4 = 0.
-1, 0
Determine x so that 32/7 - 8/7*x**2 - 16/7*x + 4/7*x**3 = 0.
-2, 2
Suppose -22*s**3 + 225 + 12*s**3 + 3*s**3 - 445*s + 12*s**3 + 215*s**2 = 0. Calculate s.
-45, 1
Let q be 63/9 - 0/(-8). Let w(h) be the third derivative of 0*h - 1/60*h**5 + 0 + h**2 - 1/40*h**6 + 1/12*h**4 + 1/336*h**8 + 0*h**3 + 1/210*h**q. Factor w(m).
m*(m - 1)**2*(m + 1)*(m + 2)
Let r(x) be the first derivative of -1/30*x**5 - 1/60*x**6 + 1/12*x**4 + 1/3*x**3 - 2*x**2 + 0*x - 3. Let z(n) be the second derivative of r(n). Solve z(f) = 0.
-1, 1
Find l such that -14/9*l**2 - 10/9*l**4 + 4/9*l + 2/9*l**5 + 0 + 2*l**3 = 0.
0, 1, 2
Find s such that 6/5 - 81/5*s**4 + 63/5*s**2 - 39/5*s + 27/5*s**3 = 0.
-1, 1/3, 2/3
Let f(i) be the third derivative of 0 + 20/21*i**4 - 64/21*i**3 + 1/420*i**6 - 5*i**2 - 17/210*i**5 + 0*i. What is o in f(o) = 0?
1, 8
Let o be 21*1/6*(-24)/(-21). Suppose 3*g = -3*p - 2 - 1, -3*g - 1 = o*p. Factor -1/2*x**p - 2 - 2*x.
-(x + 2)**2/2
Factor 12 - 39*l**2 - 20 + 4*l**2 + 5*l**3 + 55*l - 17.
5*(l - 5)*(l - 1)**2
Let t be (((-70)/8)/(-7))/(3/24). Factor 8*i**2 - 13*i**4 + 5*i**4 - t*i**5 - 4*i + 14*i**5.
4*i*(i - 1)**3*(i + 1)
Let b(q) = -6*q - 49. Let h be b(-9). Let g(l) be the first derivative of -1/4*l**2 - 1/3*l**3 + h + 0*l - 1/8*l**4. Let g(r) = 0. Calculate r.
-1, 0
Suppose -x + 2 = -4*g, -x - 2*g + 9 = 1. Solve x*h**2 - 19*h**2 + 12 - 3*h**3 + 4*h**2 = 0 for h.
-2, 1
Let f(o) be the second derivative of o**7/84 - o**6/3 + 51*o**5/40 + 21*o**4 + 36*o**3 - 14*o - 10. Find l such that f(l) = 0.
-3, -1, 0, 12
Let 187755 - 187755 + 84*z**3 - 88*z**4 + 4*z**5 = 0. Calculate z.
0, 1, 21
Let g = 4767/9530 - 1/4765. Find m, given that 3/2*m - g*m**2 + 0 = 0.
0, 3
Suppose t**4 + 3*t**4 + 60*t**2 - 62*t**2 + 3*t - 5*t**3 = 0. What is t?
-3/4, 0, 1
Let i = -287/6 + 48. Let t(l) be the second derivative of -1/15*l**6 + i*l**4 + 0 + 1/21*l**7 - 1/10*l**5 + 0*l**2 + 3*l + 0*l**3. Factor t(u).
2*u**2*(u - 1)**2*(u + 1)
Let y(h) be the first derivative of 12*h**5/5 + 17*h**4/3 - 32*h**3/27 - 8*h**2/9 - 250. Determine a so that y(a) = 0.
-2, -2/9, 0, 1/3
Factor -3*x**4 + 303*x**2 + 305*x**2 - 6*x**3 + 6*x - 605*x**2.
-3*x*(x - 1)*(x + 1)*(x + 2)
Suppose -6*n + 3*n = -4*j - 18, 5*n - 4*j = 30. Let i be 3/(18/8)*6. Let -n + 2*g - 3*g + 2*g + i - g**2 = 0. What is g?
-1, 2
Solve -2/9*r**5 + 14/9*r**4 + 4/9*r**2 - 2 + 4*r**3 - 34/9*r = 0 for r.
-1, 1, 9
Let t(n) be the second derivative of -n**5/100 - 3*n**4/20 - 4*n**3/5 - 8*n**2/5 + 75*n. Suppose t(i) = 0. What is i?
-4, -1
Let r(c) = 21*c + 5. Let l be r(-4). Let p = 112 + l. Solve -p*f**3 + 4*f**5 - 2*f**2 + 10*f**2 + 0*f**5 + 12*f + 17*f**3 - 8 = 0 for f.
-2, -1, 1
Factor -57/5*f**2 - 21/5*f**3 + 0 + 18/5*f.
-3*f*(f + 3)*(7*f - 2)/5
Let u(m) be the first derivative of -2*m**3/15 + 222*m**2/5 - 24642*m/5 - 102. Suppose u(r) = 0. Calculate r.
111
Let j(b) be the third derivative of -b**8/1680 + b**6/300 - b**4/120 - 36*b**2. Factor j(q).
-q*(q - 1)**2*(q + 1)**2/5
Let w(q) be the third derivative of 2*q**7/105 - 2*q**6/5 + 32*q**5/15 + 8*q**4 - 96*q**3 - 235*q**2. Find g, given that w(g) = 0.
-2, 2, 6
Let d = -562/7 - -1700/21. Factor 0 - b - d*b**2 + 1/3*b**3.
b*(b - 3)*(b + 1)/3
Let y(n) = -n**2 - 5*n + 27. Let x be y(-8). Find k such that 5*k**x + 392 - 392 + 5*k - 10*k**2 = 0.
0, 1
Let c be (12/5)/(3/10). Suppose t - 11*t = -60. Determine q, given that -130*q**2 + 124*q**2 - 3*q**5 + t + 12*q**3 - q - c*q = 0.
-2, -1, 1
Let q(m) be the third derivative of -m**6/6 - 32*m**5/15 - 29*m**4/6 + 20*m**3 - 272*m**2. Let q(t) = 0. What is t?
-5, -2, 3