t derivative of n**3/3 - 7*n**2/2 - 6*n - 1. Let l be j(8). Determine s so that 4*s**2 - 3*s**2 + 0*s**l + s + s = 0.
-2, 0
Let r be 4/(((-2)/(-7))/((-1)/(-7))). Factor 1362*i**3 - 17*i**4 - 1334*i**3 + 16 + i**5 - 32*i + r*i**5.
(i - 2)**3*(i + 1)*(3*i - 2)
Let t(b) be the third derivative of 5*b**8/84 - 62*b**7/35 + 181*b**6/15 + 44*b**5 + 100*b**4/3 - 6*b**2 + 2*b. Find o such that t(o) = 0.
-1, -2/5, 0, 10
Solve -6 + 18*k - 7*k**3 - 11*k**2 - 7*k**2 + 4*k**3 + 48 + 9*k = 0.
-7, -1, 2
Suppose -616 - 645 + 420 - 58*o - 13*o**2 - 11*o**2 + 23*o**2 = 0. Calculate o.
-29
Let w = -17962 - -71849/4. Find z such that -3/4*z**2 - w - 3/4*z - 1/4*z**3 = 0.
-1
Let f(h) be the first derivative of 2*h**5/5 + 11*h**4/14 - 6*h**3/7 - 23*h**2/7 - 20*h/7 + 125. Factor f(a).
2*(a + 1)**3*(7*a - 10)/7
Let a(x) be the third derivative of 14*x**5/135 - x**4/36 - x**3/27 - 258*x**2. Factor a(y).
2*(4*y - 1)*(7*y + 1)/9
Suppose 3*k**5 + 23*k**4 + 4*k**5 - 596*k**2 + 528*k**2 - 36*k**3 - 16*k = 0. What is k?
-4, -1, -2/7, 0, 2
Let i be (-15)/(-4)*-3*(-7)/63. Let u(l) be the first derivative of -4 + 1/2*l - i*l**2 + 2/3*l**3. Factor u(b).
(b - 1)*(4*b - 1)/2
Let b be 18/(-10) - 30660/(-14700). Factor -b*g + 0 - 1/7*g**3 + 3/7*g**2.
-g*(g - 2)*(g - 1)/7
Find x, given that 69/8 - 5/2*x - 1/8*x**2 = 0.
-23, 3
Let f = -52 - -52. Let u be 7/(-77)*(f - 10). Find k, given that 0 + 8/11*k**3 + 4/11*k - u*k**2 - 2/11*k**4 = 0.
0, 1, 2
Let f(s) be the second derivative of 21*s + 0*s**3 + 0 + 1/18*s**4 + 1/60*s**5 + 0*s**2. Let f(c) = 0. Calculate c.
-2, 0
Let r(m) be the first derivative of 0*m - 1/15*m**2 - 2/15*m**3 - 1. Solve r(o) = 0 for o.
-1/3, 0
Let k be (-44)/66*(-2)/4. Let q(f) be the first derivative of -1/18*f**3 + k*f + 1 - 1/12*f**2. Determine a so that q(a) = 0.
-2, 1
Let h(y) be the first derivative of -8/3*y**2 - 49 + 0*y + 2/9*y**3. Determine z, given that h(z) = 0.
0, 8
Let s(x) = -x**4 - 24*x**3 + 80*x**2 - 21*x - 7. Let n(w) = 12*w**3 - 37*w**2 + 10*w + 3. Let y(u) = -9*n(u) - 4*s(u). Suppose y(o) = 0. What is o?
1/2, 1
Let n(a) = -3*a**2 + 6*a + 5. Let v(s) = s**2 + 1. Let q(r) = 2*r**2 + r - 5. Let f be q(2). Let b(j) = f*n(j) + 20*v(j). Suppose b(u) = 0. What is u?
-3
Solve -8*w**2 - 2*w + 12*w**2 - 5*w**3 - 4*w**4 + w**3 + 6*w = 0.
-1, 0, 1
What is f in 1/3*f**4 + 0 + 8/3*f**2 - 5/3*f**3 - 4/3*f = 0?
0, 1, 2
Let d = -1298 - -1303. Factor -12/7*k**2 - 15/7*k**4 + 3/7*k**d + 0*k + 24/7*k**3 + 0.
3*k**2*(k - 2)**2*(k - 1)/7
Let k(r) = -20*r**4 - 15*r**3 + 5*r + 5. Let l(d) = d**5 - 21*d**4 - 16*d**3 + 6*d + 6. Let j(q) = 6*k(q) - 5*l(q). Factor j(c).
-5*c**3*(c + 1)*(c + 2)
Let h be -3*(-2 - 10/(-171)*34). Let k = h - -157/399. Factor -k*l + 0 - 3/7*l**3 - 6/7*l**2.
-3*l*(l + 1)**2/7
Let t(i) be the third derivative of -2/175*i**7 + 1/30*i**4 + 0 + 0*i**3 + 1/150*i**5 - 7/300*i**6 - 15*i**2 + 0*i. Suppose t(v) = 0. Calculate v.
-1, -2/3, 0, 1/2
Let c = -21/257 + 10337/123360. Let a(b) be the third derivative of -4*b**2 + 0*b + 1/48*b**4 + 0 + 1/80*b**5 + 0*b**3 + c*b**6. Factor a(r).
r*(r + 1)*(r + 2)/4
Let h(s) = 3*s + 3. Let t be h(1). Find f, given that 2*f**2 - t*f**3 + f + 11*f**3 - 4*f**3 = 0.
-1, 0
Let u(y) be the first derivative of -y**3/9 - 7*y**2/6 - 116. Find z such that u(z) = 0.
-7, 0
Let b(c) = c**2 + 98*c + 802. Let d be b(-9). Factor -d - 3/2*i + 1/2*i**4 + 3/2*i**3 + 1/2*i**2.
(i - 1)*(i + 1)**2*(i + 2)/2
Let p = -146 - -146. Let v(i) be the second derivative of 1/15*i**6 + p - 1/3*i**4 + i**2 + 1/5*i**5 - 1/21*i**7 - 1/3*i**3 + 4*i. Factor v(r).
-2*(r - 1)**3*(r + 1)**2
Let 24 + 2*o - 13*o - 8*o**2 + 4*o**2 - 9*o = 0. Calculate o.
-6, 1
Let t(x) = -7*x + 9. Let m be t(-5). Let h be (6/(-4))/((-33)/m). Determine b, given that 0*b**2 - 8*b**2 + 4 - 14*b**3 - 6*b**4 + 6*b + h*b**2 = 0.
-1, 2/3
Let t be (10 + -12)*(4 + (-1 - 4)). Factor 2/7*v - 2/7*v**t + 0.
-2*v*(v - 1)/7
Determine k, given that 84 - 96*k + 87/7*k**2 - 3/7*k**3 = 0.
1, 14
Find x, given that 0*x - 5*x - 3*x**2 + 4*x**2 + 0*x = 0.
0, 5
Let a(f) = -f**3 - 5*f**2 - 5*f + 1. Let p be a(-4). Suppose 2*v + 2*b = 4*v - 6, -3 = -3*v + p*b. Solve 23*s + 2*s**4 + s**4 - 17*s - v*s**3 - 3 = 0.
-1, 1
Factor 2*i**3 - i**3 + 0*i**3 - 6*i**3 - 35*i**2.
-5*i**2*(i + 7)
Let z(q) be the third derivative of q**10/170100 - 23*q**9/272160 - q**8/15120 - 3*q**5/20 + 22*q**2. Let a(d) be the third derivative of z(d). Factor a(s).
2*s**2*(s - 6)*(4*s + 1)/9
Let w(t) be the second derivative of t**5/120 + 109*t**4/72 + 2915*t**3/36 - 3025*t**2/12 + 12*t + 23. Let w(p) = 0. Calculate p.
-55, 1
Let y be (12/(-3) + -13)*-5. Suppose 0 = 5*o - 7 - 13, 4*o = -3*r + y. Factor r*j**3 - 2*j**2 - 12*j**3 - 9*j**3 - 4*j.
2*j*(j - 2)*(j + 1)
Determine x, given that -6/7*x**3 - 3/7*x**2 + 3/7*x**4 + 0 + 6/7*x = 0.
-1, 0, 1, 2
Let w(t) be the first derivative of -t**6/15 - 4*t**5/5 - 33*t**4/10 - 16*t**3/3 - 16*t**2/5 - 141. Factor w(p).
-2*p*(p + 1)**2*(p + 4)**2/5
Factor 68/3*j + j**3 - 10*j**2 + 1/6*j**4 - 16.
(j - 2)**3*(j + 12)/6
Let p = 16 + -10. Let i = p + -4. Factor -3*j**2 - 5 + i*j**3 - 5*j**3 + 15*j - 4.
-3*(j - 1)**2*(j + 3)
Let i(a) be the third derivative of a**7/350 + 19*a**6/100 + 71*a**5/100 - 19*a**4/20 - 36*a**3/5 - 467*a**2. Suppose i(v) = 0. What is v?
-36, -2, -1, 1
Let p(t) be the third derivative of -t**7/18900 + t**6/900 - t**5/100 - t**4/4 - 3*t**2. Let r(v) be the second derivative of p(v). Suppose r(s) = 0. What is s?
3
Let w(s) = 12*s**2 + 15*s - 27. Let n(r) = -r**2 + 1. Let p(a) = a**3 + 11*a**2 + 24*a + 1. Let i be p(-8). Let h(t) = i*w(t) + 15*n(t). Solve h(x) = 0.
1, 4
Let v be 1835/90*(1 - -2). Let d = v - 61. Factor -1/2*o - d*o**4 + 1/2*o**3 - 1/6*o**2 + 1/3.
-(o - 2)*(o - 1)**2*(o + 1)/6
Let k(y) be the second derivative of -y**5/50 + 3*y**4/10 - 8*y**3/15 + y + 14. Find x such that k(x) = 0.
0, 1, 8
Let y(u) be the first derivative of -u**6/6 - 4*u**5/9 + 5*u**4/36 + 20*u**3/27 + 2*u**2/9 + 177. Determine g, given that y(g) = 0.
-2, -1, -2/9, 0, 1
Let c(g) be the third derivative of 1/80*g**5 + 0*g + 1/32*g**4 + 0*g**3 - 10*g**2 + 0. Factor c(w).
3*w*(w + 1)/4
Let z be 642/(-574) + 5/35. Let y = z - -1184/205. Solve 2/5*g - 34/5*g**4 + 2*g**2 + y*g**5 - 2/5*g**3 + 0 = 0.
-1/3, -1/4, 0, 1
Factor 0 + 2/5*y**4 - 2/5*y**3 + 8/5*y - 8/5*y**2.
2*y*(y - 2)*(y - 1)*(y + 2)/5
Let c(f) be the second derivative of -f**6/255 - f**5/170 + 8*f**4/17 + 176*f**3/51 + 128*f**2/17 + 143*f. Let c(n) = 0. Calculate n.
-4, -1, 8
Suppose 0 = 4*u + 3*k - 43 + 21, 5*u - 16 = 2*k. Solve 0*h**3 + 0 + 2/9*h**5 + 0*h**2 + 0*h - 2/9*h**u = 0.
0, 1
Let n(g) = -g**3 - 5*g**2 + 6*g + 20. Let u be n(-8). Factor 1 - 153*r**3 - 2*r**2 + u*r**3 - 11*r + 1.
(r - 1)*(r + 1)*(11*r - 2)
Suppose 39*h - 21*h = 0. Solve 2/5*l + h*l**3 + 3/5*l**2 + 0 - 1/5*l**4 = 0.
-1, 0, 2
Factor -327*n**3 - n**4 - 3 + 4 + 6*n - 4*n + 325*n**3.
-(n - 1)*(n + 1)**3
Let t(y) = 5*y**4 + 22*y**3 - 120*y**2 + 295*y - 193. Let a(n) = 3*n**4 + 21*n**3 - 121*n**2 + 297*n - 194. Let o(z) = 6*a(z) - 4*t(z). Factor o(j).
-2*(j - 7)**2*(j - 4)*(j - 1)
Let h(s) be the second derivative of 0*s**5 + 1/3*s**6 - 5/6*s**4 - 5/6*s**3 + 0*s**2 + 5/42*s**7 + 0 - 25*s. Find p, given that h(p) = 0.
-1, 0, 1
Let d = 155 - 151. Suppose 4*q - d + 16 = 4*f, -f + 4*q = -12. Suppose 4/5*s + f - 2/5*s**2 + 2/5*s**4 - 4/5*s**3 = 0. What is s?
-1, 0, 1, 2
Let r(z) be the first derivative of z**8/1680 - z**7/168 + z**6/90 - 12*z**3 - 28. Let n(p) be the third derivative of r(p). Factor n(a).
a**2*(a - 4)*(a - 1)
Suppose -2/11*m**3 - 2/11*m**2 + 34/11*m - 30/11 = 0. What is m?
-5, 1, 3
Let g(m) = -m**2 - 3*m + 76. Let t(p) = p**2 + 3*p - 82. Let h(x) = -9*g(x) - 8*t(x). Factor h(o).
(o - 4)*(o + 7)
Find i such that -6*i**4 + 0*i + 20/9*i**2 + 0 - 22/3*i**3 - 8/9*i**5 = 0.
-5, -2, 0, 1/4
Let s(c) = -c**3 + 6*c**2 + 5*c + 50. Let w be s(8). Let h be w/(-40) + 3/(-15). Suppose -1/4*k**2 + 0*k - h*k**3 - 3/4*k**4 + 0 - 1/4*k**5 = 0. Calculate k.
-1, 0
Suppose -m = 3*y + 9, -m + 4*m = 3*y + 21. Suppose 6*u = 3*u + 4*z, m*z = 4*u - 7. Determine t so that 7*t**2 - 2*t**3 - 6*t**u - 3/2*t + 7/2*t**5 - 1 = 0.
-1, -2/7, 1
Let d = -57095/42 - -8165/6. Factor -d + 2/7*k**3 - 2/7*k + 10/7*k**2.
2*(k - 1)*(k + 1)*(k + 5)/7
Let x(c) = -10*c**2 + 558*c + 114. Let g be x(56