g**3 = 0. What is g?
-1, 0
Let d(u) = -u**3 - 8*u**2 + 16*u + 11. Let l be d(-9). Let m = l + 54. Find z such that 2*z**4 - 5/3*z**m + 0 - 2/3*z + 1/3*z**3 = 0.
-2/3, -1/2, 0, 1
Let -19/8*f**2 + 3*f - 9/8 + 1/2*f**3 = 0. Calculate f.
3/4, 1, 3
Let z(w) = 6*w**3 + 30*w**2 + 18*w - 65. Let y = 6 + 0. Let h(u) = -3*u**3 - 14*u**2 - 8*u**2 - 9*u + 33 + 7*u**2. Let g(q) = y*z(q) + 11*h(q). Factor g(r).
3*(r - 1)*(r + 3)**2
Let s be 10/(-75) + ((-87230)/(-600))/61. Find w such that 1/4*w**2 + 5/2*w + s = 0.
-9, -1
Let q(j) be the third derivative of 1/54*j**4 + 0*j**3 - 20*j**2 + 0 + 0*j - 1/270*j**5. Factor q(k).
-2*k*(k - 2)/9
Let a(g) = -995*g + 6965. Let v be a(7). Factor v*k + 1/3*k**3 + 0 - 1/3*k**2.
k**2*(k - 1)/3
Let y(p) be the first derivative of 8*p - 5 + 4/3*p**3 + 6*p**2. Factor y(b).
4*(b + 1)*(b + 2)
Suppose 28 = -40*z + 44*z. Let h(j) be the third derivative of -1/8*j**4 + 0*j**3 + z*j**2 + 0*j + 0 - 11/40*j**6 - 7/20*j**5 - 1/14*j**7. Factor h(t).
-3*t*(t + 1)**2*(5*t + 1)
Let n(y) be the first derivative of 11 - 3/4*y**4 - 9/10*y**5 - 1/4*y**6 + y**3 + 9/4*y**2 + 3/2*y. Factor n(p).
-3*(p - 1)*(p + 1)**4/2
Factor -1058/11 + 92/11*y - 2/11*y**2.
-2*(y - 23)**2/11
Let p(o) be the first derivative of -30 + 0*o**2 + 0*o + 1/2*o**4 + 10/3*o**3. Solve p(r) = 0 for r.
-5, 0
Let n be (-3 - -1)*42/(-12). Let l = 9 - n. Let 4*c - 34*c**l + 33*c**2 - 5*c = 0. Calculate c.
-1, 0
Let n(a) be the second derivative of -a**6/100 - a**5/100 + 19*a**4/120 - a**3/10 - 523*a - 2. Solve n(p) = 0.
-3, 0, 1/3, 2
Let o(d) = -5*d**2 - 16*d - 32. Let k(i) = 19*i + 3*i**2 + 2 - 20*i - 1 - 4*i**2. Let z(q) = 4*k(q) - o(q). Factor z(m).
(m + 6)**2
Let p(s) be the first derivative of -s**4/10 - 8*s**3 - 240*s**2 - 3200*s - 76. Find r such that p(r) = 0.
-20
Suppose -8 = -4*x + 2*p, -3*p = 4*x + 135 - 123. Determine o, given that 1/2*o**5 + x + 3/2*o**2 - 3/2*o**4 - o + 1/2*o**3 = 0.
-1, 0, 1, 2
Let l be 280/46 - 124/1426. Let i(c) be the first derivative of 0*c + 2/3*c**3 + 1/3*c**l + 2*c**2 - 3/2*c**4 - 2/5*c**5 - 1. Factor i(w).
2*w*(w - 2)*(w - 1)*(w + 1)**2
Factor 123*u - 10*u**2 + 5184 - 77*u + 242*u + 14*u**2.
4*(u + 36)**2
Let h(k) be the second derivative of -k**4/60 - 17*k**3/30 - 21*k**2/5 + 94*k. Find c, given that h(c) = 0.
-14, -3
Let u(b) be the first derivative of b**4/24 + 59*b**3/3 + 3481*b**2 + 821516*b/3 + 58. Factor u(i).
(i + 118)**3/6
Let l be 0 + (-1 - (-5 + 3)). Suppose -16 = -5*m - l. Factor -4*k**m - k**3 + 6*k**3 - 5*k**3 + 8*k**2.
-4*k**2*(k - 2)
Let y(d) be the second derivative of -2/15*d**5 - 1/6*d**3 + 5*d - 1/12*d**2 - 7/36*d**4 - 1/20*d**6 + 0 - 1/126*d**7. Factor y(v).
-(v + 1)**4*(2*v + 1)/6
Let n be 2 - (-18)/(-15) - 366/(-3355). Suppose -8/11 - n*b - 2/11*b**2 = 0. What is b?
-4, -1
Let n = 21 + -8. Let h = -10 + n. Factor -6*g**2 + h*g**2 + 3*g + 6*g**2.
3*g*(g + 1)
Let x(r) be the third derivative of -r**6/480 + r**4/24 + 235*r**2. Find y such that x(y) = 0.
-2, 0, 2
Let c(s) be the third derivative of -s**8/5040 - s**7/2520 + s**6/216 - s**5/120 + 17*s**3/3 + 36*s**2. Let h(j) be the first derivative of c(j). Factor h(w).
-w*(w - 1)**2*(w + 3)/3
Let c(y) be the second derivative of 11*y - 1/6*y**4 + 0 + 1/10*y**5 + 0*y**3 + 0*y**2. Factor c(l).
2*l**2*(l - 1)
Let b(g) be the second derivative of -g**4/126 + 13*g**3/63 - 20*g. What is q in b(q) = 0?
0, 13
Let n(q) be the first derivative of 2*q**7/21 + 3*q**6/8 + q**5/6 - 11*q**2 + 16. Let b(l) be the second derivative of n(l). Suppose b(t) = 0. What is t?
-2, -1/4, 0
Let g(p) be the third derivative of p**8/448 - p**7/56 + p**6/20 - p**5/20 + 110*p**2. Suppose g(b) = 0. What is b?
0, 1, 2
Let o be 12/(-14)*-2 - (-6)/21. Let s(f) be the first derivative of 5/9*f**4 - 2/9*f + 5/9*f**o + 1/27*f**6 - 2/9*f**5 + 2 - 20/27*f**3. Factor s(i).
2*(i - 1)**5/9
Factor 0 - 5/3*i + 145/6*i**2.
5*i*(29*i - 2)/6
Let l(d) be the first derivative of -3*d**5/25 + 3*d**4/10 + 113. Factor l(m).
-3*m**3*(m - 2)/5
Let v = -70 - -70. Suppose -7*l + 19*l - 36 = v. Solve n - n**l - 1/2*n**4 + 1/2 + 0*n**2 = 0 for n.
-1, 1
Suppose -m + 7 = 2*j + 2*m, 30 = 3*j - 2*m. Factor 10*i - 6*i + j*i - 10 - i**2 - i**2.
-2*(i - 5)*(i - 1)
Let q = 590 - 590. Determine b so that 3/2*b**2 + 0*b + q + 3/4*b**3 = 0.
-2, 0
Let j(g) = -3*g**2 - 523*g + 1419. Let c be j(-177). Factor 2/5*o + 6/5*o**2 - 8/5*o**c + 0.
-2*o*(o - 1)*(4*o + 1)/5
Let d(p) be the third derivative of -p**6/200 - 7*p**5/50 + 31*p**4/40 - 8*p**3/5 - 248*p**2. Factor d(f).
-3*(f - 1)**2*(f + 16)/5
Let p(a) be the first derivative of a**3/9 + a**2 - 7*a/3 + 2. Factor p(h).
(h - 1)*(h + 7)/3
Let i(y) be the first derivative of 0*y**2 + 0*y - 18/35*y**5 - 32/21*y**3 - 12/7*y**4 + 1 - 1/21*y**6. Determine h, given that i(h) = 0.
-4, -1, 0
Let i(u) = 158*u - 785. Let n be i(5). Let 2/13*q**n + 0 + 4/13*q**3 - 6/13*q**4 + 0*q + 0*q**2 = 0. What is q?
0, 1, 2
Let b be (-36)/((-8)/108*3). Let u = 973/6 - b. Solve -1/2*o**2 + 1/2*o + u*o**3 - 1/6 = 0 for o.
1
Determine x, given that 8/11*x**2 + 0 - 24/11*x - 2/11*x**4 + 6/11*x**3 = 0.
-2, 0, 2, 3
Let m(k) = -k**3 - k**2 + 5*k + 3. Let b be m(-3). Suppose b*z - 228 = 3*z. Factor t**4 + z*t - t**3 - t**2 - 76*t + t**5.
t**2*(t - 1)*(t + 1)**2
Let l(r) be the first derivative of 2*r**3/9 - 37*r**2/3 + 24*r + 224. Factor l(w).
2*(w - 36)*(w - 1)/3
Let v(h) be the second derivative of -20*h**4/21 + 27*h**3/7 - 2*h**2/7 - 289*h. Factor v(p).
-2*(p - 2)*(40*p - 1)/7
Let i(f) be the first derivative of -f**5 - 5*f**4/4 + 10*f**3/3 - 389. Find u, given that i(u) = 0.
-2, 0, 1
Let w(m) be the third derivative of 5*m**8/672 - 17*m**7/420 - 23*m**6/80 - 11*m**5/24 + m**4/12 + m**3 + 4*m**2 + 40*m. Factor w(p).
(p - 6)*(p + 1)**3*(5*p - 2)/2
Let f(s) = -s**2 - 13*s. Let a(x) be the second derivative of x**4/12 + 7*x**3/6 + 3*x. Suppose 2*m + 17*m - 76 = 0. Let r(v) = m*f(v) + 7*a(v). Factor r(k).
3*k*(k - 1)
Let i(j) be the first derivative of j**5/5 - 5*j**4/2 + 8*j**3 + 5*j**2 - 25*j - 67. Factor i(d).
(d - 5)**2*(d - 1)*(d + 1)
Let a(w) be the second derivative of w**3/6 + w**2 - 3*w. Let z be a(2). Find u, given that -z*u**2 + 2*u + 2*u**4 - 4*u + 4*u + 2*u**2 - 2*u**3 = 0.
-1, 0, 1
Let h(w) be the first derivative of 12/5*w**2 - 14/15*w**3 + 10 + 8/5*w. Determine b so that h(b) = 0.
-2/7, 2
Let d = 73/55 - -1/165. Let b(r) be the first derivative of 0*r + d*r**2 - 4/9*r**3 + 4. Determine s so that b(s) = 0.
0, 2
Let -183*q - 3/4*q**2 - 11163 = 0. Calculate q.
-122
Let s(z) = -z**2 - z. Let x(f) = -2*f + 5. Let j be x(4). Let d(i) = -3*i**2 - 5*i. Let c(t) = j*d(t) + 6*s(t). Factor c(y).
3*y*(y + 3)
Let t(o) be the second derivative of -o**6/45 - o**5/15 + o**4/18 + 2*o**3/9 + 115*o. Factor t(u).
-2*u*(u - 1)*(u + 1)*(u + 2)/3
Factor 4*f**4 - 40*f**3 - 19*f - 4*f - 153*f + 80 - 41*f**2 + 173*f**2.
4*(f - 5)*(f - 2)**2*(f - 1)
Let i = -58 - -1916/33. Let b(l) be the first derivative of 2 - 4/11*l**2 + 8/11*l + i*l**3. Determine v so that b(v) = 0.
2
Suppose 33*i = 139 + 18 - 58. Factor -5/4*n**i - n**4 - 1/2*n**2 + 0 + 0*n - 1/4*n**5.
-n**2*(n + 1)**2*(n + 2)/4
Suppose -2*z + z = 3*n - 3, 2*z = -3*n. Suppose 6*s - 425 = -11*s. Solve -7*y**2 + 32*y**4 + 8*y - 8*y**5 - 5*y**5 + 6*y**3 - y**5 - s*y**n = 0.
-1, 0, 2/7, 1, 2
Suppose -42 = -13*w - w. Let n(c) be the third derivative of 0*c**w - 1/60*c**5 - 5*c**2 + 1/210*c**7 + 0*c + 1/300*c**6 - 1/60*c**4 + 0. Factor n(i).
i*(i - 1)*(i + 1)*(5*i + 2)/5
Suppose 0 = -14*r - 52*r + 264. Let -2/5*t + 2/5*t**5 + 4/5*t**2 - 4/5*t**r + 0*t**3 + 0 = 0. What is t?
-1, 0, 1
Let k(i) = 9*i**2 - 29*i + 1. Let v(m) = 44*m**2 - 146*m + 4. Let a(s) = 16*k(s) - 3*v(s). Factor a(d).
2*(d - 2)*(6*d - 1)
Suppose 5/3*r**3 + 165*r**2 + 12005/3 + 4165*r = 0. What is r?
-49, -1
Let a(b) = 11*b + 682. Let x be a(-62). Let y(p) be the first derivative of -5 + 3/5*p**3 - 3/20*p**4 + x*p**2 - 12/5*p. Solve y(l) = 0.
-1, 2
Solve -387/4*v + 3/4*v**2 + 96 = 0 for v.
1, 128
Factor -4*b - 3*b + 5*b - 4*b**2 + 6*b.
-4*b*(b - 1)
Let a be (-3)/(-4) - (1/(-2) + 108/216). Factor 0 + 1/4*g**5 + g**4 + a*g**3 - g - g**2.
g*(g - 1)*(g + 1)*(g + 2)**2/4
Let d(u) be the first derivative of u**5/120 - 3*u**3/4 - 23*u**2/2 + 17. Let q(p) be the second derivative of d(p). What is v in q(v) = 0?
-3, 3
Supp