 + 0*p**2 - 25*p - 7/50*p**5. Suppose r(b) = 0. Calculate b.
-1, -2/5, 0
Let -1/3*g**5 + 13/3*g**4 + 0 - 32/3*g + 68/3*g**2 - 16*g**3 = 0. What is g?
0, 1, 2, 8
Let v(j) be the first derivative of j**4/4 + 5*j**3/3 - 33*j**2/2 + 27*j + 433. Factor v(n).
(n - 3)*(n - 1)*(n + 9)
Suppose 1295*v - 18 - 644*v - 648*v + 3*v**2 = 0. Calculate v.
-3, 2
Let p be 2204/(-208) + -3 - 2. Let t = p - -63/4. Suppose -2/13*n**2 + 0 - t*n = 0. Calculate n.
-1, 0
Let f(n) = 5*n**4 + 15*n**3 - 11*n**2 + 7*n - 7. Let r(v) = v**4 + 3*v**3 - v**2 + v - 1. Let s(t) = 2*f(t) - 14*r(t). Factor s(g).
-4*g**2*(g + 1)*(g + 2)
Let h = -35 + 58. Let m = h + -3. Find j, given that -m*j**2 - 15*j**4 - 6*j + 0*j + 9*j**5 - 3*j**3 + 35*j**2 = 0.
-1, 0, 2/3, 1
Let 2*f**3 - 20*f**4 + 4*f**3 - 12*f**3 - 13*f**4 = 0. What is f?
-2/11, 0
Let v(k) = 2*k**3 + k**2 - 2*k + 2. Let t be v(1). Suppose 4*s**3 + 3*s + t*s**4 + 0*s**2 - 7*s**3 - 3*s**2 = 0. Calculate s.
-1, 0, 1
Solve -38*c**2 + 22*c + 8*c + 33*c + 21*c - 2*c**3 = 0 for c.
-21, 0, 2
Let j(b) be the second derivative of -b**6/150 + 3*b**5/25 - 13*b**4/60 - 11*b**3/5 - 4*b**2 + 9*b + 12. Find z, given that j(z) = 0.
-1, 4, 10
Let r(w) be the second derivative of -1/6*w**6 - 5/42*w**7 + 3/2*w**5 + 5/3*w**4 - 20/3*w**3 + 0 + 0*w**2 - 9*w. Suppose r(o) = 0. What is o?
-2, 0, 1, 2
Let u(j) be the second derivative of 0*j**2 + 0*j**3 - 24*j - 1/240*j**6 - 1/96*j**4 + 0 + 1/80*j**5. Factor u(n).
-n**2*(n - 1)**2/8
Let g be ((-2)/14)/(1 - 24/21). Let b be 92/20 + (-3)/g. Factor -2/5*a**2 - b*a - 8/5.
-2*(a + 2)**2/5
Let n(f) be the third derivative of -f**6/420 - f**5/420 + f**4/84 + f**3/42 - 2*f**2 + 2*f. Determine q, given that n(q) = 0.
-1, -1/2, 1
Let u be 207/(-216) - (2 - (6 + -3)). Let r(d) be the first derivative of u*d**6 - 1/8*d**4 + 5 + 1/8*d**2 - 1/6*d**3 + 1/4*d + 1/20*d**5. Factor r(j).
(j - 1)**2*(j + 1)**3/4
Let b(f) be the first derivative of f**5/6 - 337*f**4/24 + 232*f**3/9 - 11*f**2 - 423. Find x such that b(x) = 0.
0, 2/5, 1, 66
Let 4*w**2 + 112 - 14*w - 24*w - 6*w - 52 + 12*w = 0. Calculate w.
3, 5
Factor 3*b**2 - 13 - 34 - 9*b - 37.
3*(b - 7)*(b + 4)
Determine q so that -3/7*q**3 + 6/7*q + 0 - 3/7*q**2 = 0.
-2, 0, 1
Suppose x + 4 = 3*x. Let s = 13 + x. Factor -23*p**3 - 9*p**5 + 6 + 5*p**3 - 34*p**4 - 12*p**3 + s*p + 4*p**4.
-3*(p + 1)**4*(3*p - 2)
Let a(d) be the first derivative of d**3/3 + 10*d**2 + 19*d + 149. Factor a(f).
(f + 1)*(f + 19)
Let f(h) be the second derivative of -h**5/50 - 2*h**4/15 + 4*h**3/15 + 16*h**2/5 + 78*h. Find g such that f(g) = 0.
-4, -2, 2
Let a(o) be the third derivative of -o**5/240 + o**4/32 + 9*o**3/4 - 129*o**2. Factor a(v).
-(v - 9)*(v + 6)/4
Let d be ((-9)/12)/(12/(-32)). Suppose 18 = 2*z - d*m, -m = z - 3*m - 14. Factor 3*q + 5*q**2 - 3*q**z + 2*q**2 - 3*q**3 - 4*q**2.
-3*q*(q - 1)*(q + 1)**2
Suppose 0 = -2*q + 3*q. Suppose -4 = -3*m + 5*s, m - s = 2*s. Factor 2/3*u + q*u**2 - 2/3*u**m + 0.
-2*u*(u - 1)*(u + 1)/3
Let r = 10 + -53. Let h = r - -137/3. Factor -2/3*l**2 - h*l - 8/3.
-2*(l + 2)**2/3
Let o(n) be the third derivative of 0 + 26*n**2 - 3/10*n**5 + 1/4*n**4 + 2/3*n**3 + 0*n. Factor o(l).
-2*(3*l - 2)*(3*l + 1)
Let l(x) be the second derivative of -1/24*x**4 - 3*x + 1/2*x**2 + 0 + 1/12*x**3. Factor l(p).
-(p - 2)*(p + 1)/2
Find o such that 0*o**2 + 4*o**2 + 80*o - 10*o + 2*o + 68 = 0.
-17, -1
Suppose 0 = -l + 11 - 4. Suppose -15*u = -38 - l. Factor 6/5*j**u + 0*j - 2/5*j**2 + 0.
2*j**2*(3*j - 1)/5
Let 2/5*s - 2/5*s**2 + 4/5 = 0. What is s?
-1, 2
Suppose 42 = 4*l + 18. Determine g so that -24*g**3 + 2*g**4 - l*g**4 + g**5 + 2*g**5 + g**5 = 0.
-2, 0, 3
Suppose -7*p + 2*p = 0. Suppose 31 = 11*y + 9. Suppose -1/2*a**5 + 1/2*a + 0*a**3 + p - a**4 + a**y = 0. What is a?
-1, 0, 1
Let p(y) be the first derivative of -y**6/180 - y**5/60 + 2*y**3/3 - y**2 - 29. Let b(t) be the third derivative of p(t). Factor b(d).
-2*d*(d + 1)
Let l = -17 + 12. Let k(c) = c**2 - c. Let f(o) = -7*o**2 + o + 11. Let i(x) = f(x) + 6*k(x). Let g(y) = 3*y - 6. Let v(p) = l*g(p) - 3*i(p). Factor v(z).
3*(z - 1)*(z + 1)
Suppose 11*z - 2*z = 0. Suppose z = -3*a + 9 - 3. Factor -200 - 19*b + 194 + 2*b**2 + 5*b**a.
(b - 3)*(7*b + 2)
Factor 1/4*i**3 - 47/4*i + 23/2*i**2 + 0.
i*(i - 1)*(i + 47)/4
Factor 0*y**3 + 1/6*y**4 - 3/2*y**2 + 0 + 0*y.
y**2*(y - 3)*(y + 3)/6
Suppose 8 = n + 5. Suppose m + 9 = j, 0 = -n*j + 5*m + 37 - 0. Factor 10*i**3 + 257 - 16*i - 249 + 2*i**2 - j*i**5 + 2*i**5 - 2*i**4.
-2*(i - 1)**3*(i + 2)**2
Let h(f) be the second derivative of f**4/6 - f**3/4 - f**2/4 - f + 457. Determine j, given that h(j) = 0.
-1/4, 1
Let l(q) be the third derivative of -q**7/420 - 7*q**6/120 + q**5/120 + 7*q**4/24 - 585*q**2. Determine u, given that l(u) = 0.
-14, -1, 0, 1
Let t(g) be the first derivative of g**6/27 + 2*g**5/45 - g**4/18 - 2*g**3/27 - 90. Factor t(l).
2*l**2*(l - 1)*(l + 1)**2/9
Let t(m) be the first derivative of -5*m**4/16 - 85*m**3/2 - 13005*m**2/8 - 210. Solve t(f) = 0.
-51, 0
Let y be 194/(-291)*(-15)/70. Determine j, given that 0 + 0*j - 4/7*j**2 + y*j**3 = 0.
0, 4
Factor -6*m**4 - 4*m**2 + 22*m**2 - 7*m**2 + 9*m - 5*m**2 - 12*m**3 + 3*m**5.
3*m*(m - 3)*(m - 1)*(m + 1)**2
Suppose -3*k**3 - 69 + 69*k**2 - 99*k**2 - 27 - 96*k = 0. Calculate k.
-4, -2
Suppose -5*r = -2*c - 14, 0*c + 5 = 2*r - c. Determine v, given that 18*v**2 + 32*v**3 - 128*v + 36 - 160 + 30*v**2 + r*v**4 - 132 = 0.
-4, -2, 2
Suppose -5*z = -0*z - b + 14, 2*b - 14 = 3*z. Let m be (-4)/16*z*-10*-1. Suppose 0 + 0*a - 3/4*a**4 + 3/4*a**2 + 3/4*a**3 - 3/4*a**m = 0. Calculate a.
-1, 0, 1
Let y(h) be the second derivative of 0*h**2 - 5/12*h**4 - 19*h - 5/6*h**3 + 0. Factor y(s).
-5*s*(s + 1)
Suppose -32*m + 34*m - 2 = -2*f, -m = 5*f + 3. What is x in 1 + 3*x**4 + 8*x**m + 9/2*x + 1/2*x**5 + 7*x**3 = 0?
-2, -1
Determine y, given that 0 - 8*y**2 + 2/3*y**4 + 0*y**3 + 32/3*y = 0.
-4, 0, 2
Let h(n) be the third derivative of -1/150*n**5 - 2/15*n**4 + 1/100*n**6 - 4/15*n**3 + 5*n + 0 + 4*n**2. Factor h(a).
2*(a - 2)*(a + 1)*(3*a + 2)/5
Let i = 5759291/86765 + -82/12395. Let x = 339/5 - i. Find f such that 4/7*f - 2/7*f**5 + 0 - x*f**2 + 2/7*f**4 + 6/7*f**3 = 0.
-2, 0, 1
Let v be (-5 + 4)/(-1) + 1. Determine d so that -5*d**2 + 5*d + 14*d + 10*d**v - 4*d = 0.
-3, 0
Find g such that 5/2*g - 1/4*g**4 + 2*g**3 + 0 + 19/4*g**2 = 0.
-1, 0, 10
Let b(a) be the first derivative of -2*a**3/39 + 54*a**2/13 + 77. Let b(s) = 0. Calculate s.
0, 54
Let t(f) = -f**4 + 11*f**3 - 25*f**2 + 3*f + 3. Let d(m) = -m**3 - 4*m**2 + m + 1. Let u(g) = 6*d(g) - 2*t(g). Factor u(h).
2*h**2*(h - 13)*(h - 1)
Factor -8/9*b**4 - 2/9*b**5 + 0*b - 10/9*b**3 - 4/9*b**2 + 0.
-2*b**2*(b + 1)**2*(b + 2)/9
Let o(g) = -6*g**2 - 1 + 4*g**2 - 62*g + 61*g. Let m(a) = -3*a**2 + 5*a - 1. Let y(r) = -5*m(r) + 5*o(r). Factor y(q).
5*q*(q - 6)
Let d(a) = -a**3 + 5*a**2 + 2. Let o be d(5). Determine r so that r**3 + 13*r - 3*r**3 - 35*r + 10 + 14*r**o = 0.
1, 5
Let c(o) be the third derivative of 1/60*o**5 + 0 + 0*o**3 + 2*o**2 + 0*o + 0*o**4 - 1/240*o**6. Determine t, given that c(t) = 0.
0, 2
Let o(p) be the first derivative of 0*p**2 + 0*p - 2/51*p**3 - 2/17*p**4 - 6/85*p**5 - 4. Find g such that o(g) = 0.
-1, -1/3, 0
Let g = 73 + -71. Let x(w) be the first derivative of 4/3*w**3 + 10/3*w**g - 4/15*w**5 + 8/3*w - 1/3*w**4 + 3. Factor x(b).
-4*(b - 2)*(b + 1)**3/3
Let a(x) = x**4 - 9*x**3 + 24*x**2 - 16*x - 4. Let i(q) = q**4 - 10*q**3 + 26*q**2 - 17*q - 3. Let f(c) = -3*a(c) + 4*i(c). What is s in f(s) = 0?
0, 1, 2, 10
Let n be ((-2)/112)/(2/(14/21)). Let d = 113/168 + n. Find h, given that -d - 4/3*h - 2/3*h**2 = 0.
-1
Factor 18*r**2 + 268*r**2 + 301*r + r**4 + 79*r + 225 + 32*r**3 + 100*r.
(r + 1)**2*(r + 15)**2
Suppose -4*b = -c, -6*c = -8*c - b + 27. Factor 4/5*u**3 + 28/5*u**2 + 36/5 + c*u.
4*(u + 1)*(u + 3)**2/5
Let n(u) be the third derivative of u**5/3 + u**4/6 - 8*u**3/3 - 46*u**2 - 3*u. Factor n(k).
4*(k + 1)*(5*k - 4)
Let w(b) be the second derivative of -7/135*b**6 - 11/54*b**4 + 0 + 0*b**2 + 8/45*b**5 + 6*b + 2/27*b**3. Find m, given that w(m) = 0.
0, 2/7, 1
Let k = -226 - -340. Let o be (-3)/9 + k/234. Suppose 0 - 2/13*f**4 + 0*f**3 + o*f**2 + 0*f = 0. What is f?
-1, 0, 1
Let m(x) be the first derivative of 1/40*x**6 - 8*x + 0*x**2 - 3/20*x**5 - 1/4*x*