 = -12*q**3 + 20*q**2 - 16*q + 2. Let r(d) = 3*s(d) - 2*x(d). Let r(i) = 0. What is i?
2/9, 1
Let b(d) = -12*d**4 + 18*d**3 - 6*d**2 + 2*d - 2. Let u(x) = -23*x**4 + 36*x**3 - 13*x**2 + 5*x - 5. Let a(p) = -5*b(p) + 2*u(p). Factor a(z).
2*z**2*(z - 1)*(7*z - 2)
Let k(j) be the first derivative of -3/2*j - 3/2*j**3 - 3/8*j**4 - 9/4*j**2 - 8. Factor k(w).
-3*(w + 1)**3/2
Suppose -l + 5*p - 20 = 0, 4*p - 11 = 9. Let s = -2 + l. Factor 4 - s - v**2 - 1 + v.
-v*(v - 1)
Let m = 2/5 - -1/10. Factor -1/2*x + 0 + m*x**2.
x*(x - 1)/2
Let m(j) = 4*j**2 + j + 1. Suppose -2*t - 2 = -3*t. Let r(p) = -5*p**2 + 0*p - 1 - 2*p + 0*p**t. Let o(i) = -4*m(i) - 3*r(i). Factor o(s).
-(s - 1)**2
Find q, given that -90 + q**2 + 90 = 0.
0
Factor -8 - 2*j**3 - 4 - 24*j - 15*j**2 - j**3.
-3*(j + 1)*(j + 2)**2
Let b(w) be the third derivative of w**8/50400 - w**7/12600 + w**5/15 - w**2. Let t(o) be the third derivative of b(o). Suppose t(k) = 0. What is k?
0, 1
Let r(p) = p**3 - 2*p**2 + 2*p - 3. Let b be r(3). Factor 3*f**2 - f**3 + 5*f**2 + 0*f - 3*f**3 + b*f.
-4*f*(f - 3)*(f + 1)
Let f(v) = v**3 - 10*v**2 + 11*v + 2. Let p be f(9). Suppose 5*b = -j - 15 - 7, 4*b + p = 0. Find g, given that 0*g**2 + j*g**2 - g + 2*g - 2 = 0.
-1, 2/3
Let i(q) be the second derivative of -q**5/60 - q**4/36 + q**3/9 - 21*q. Solve i(w) = 0.
-2, 0, 1
Find z, given that -32/9*z + 0 - 16/9*z**2 + 2/9*z**5 + 10/3*z**3 + 16/9*z**4 = 0.
-4, -1, 0, 1
Let k(p) = p**2 + 5*p + 2. Let z be k(-5). Let d = -18/5 + 4. Factor 4/5 + d*y**z + 6/5*y.
2*(y + 1)*(y + 2)/5
Let h(y) be the third derivative of y**7/350 + y**6/200 - 3*y**5/100 - y**4/8 - y**3/5 + 19*y**2 + 2*y. Let h(d) = 0. What is d?
-1, 2
Let w(p) = p**3 + 4*p**2 - 2*p - 4. Let t be w(-4). Let r be (t/18)/(3/9). Find h, given that 0 + r*h**5 - 2/3*h**4 + 2/3*h**2 + 0*h - 2/3*h**3 = 0.
-1, 0, 1
Let h(f) be the first derivative of -f**4/14 + 8*f**3/21 + f**2/7 - 8*f/7 + 13. Factor h(a).
-2*(a - 4)*(a - 1)*(a + 1)/7
Let m(n) = n**2 - 15*n + 12. Let a be m(14). Let s be 5/(-7)*7/a. Factor 1/4 + 5/4*d + s*d**3 + 5/2*d**2 + 1/4*d**5 + 5/4*d**4.
(d + 1)**5/4
Factor 5*t**5 - 3*t**2 + 22*t - 10*t**4 - 48*t + 21*t + 13*t**2.
5*t*(t - 1)**3*(t + 1)
Suppose -4*p + 31 = 3*y + p, -4*y - 2*p + 18 = 0. Factor 4*h**4 - 4*h**5 - 3*h**3 - 4*h**y + 10*h**3 - 3*h**3.
-4*h**2*(h - 1)**2*(h + 1)
Let r(v) be the first derivative of 4*v**3/3 - 6*v**2 - 16*v - 18. Factor r(m).
4*(m - 4)*(m + 1)
Let y(f) be the third derivative of -5*f**8/336 + f**7/21 - f**5/6 + 5*f**4/24 + 10*f**2. Find x, given that y(x) = 0.
-1, 0, 1
Let r be (((-42)/(-105))/((-3)/5))/(-3). Factor 4/3*n**2 + 2/9 - 8/9*n**3 + r*n**4 - 8/9*n.
2*(n - 1)**4/9
Let d be (1 + -4)*(-2)/2. Suppose 3 = a - 2, 8 = i + a. Find f, given that -2*f**i + f**3 + f**4 + 0*f**d = 0.
0, 1
Let z(u) be the first derivative of -1/12*u**3 + 1/8*u**2 + 1/20*u**5 + 0*u - 1 - 1/16*u**4. Let z(m) = 0. What is m?
-1, 0, 1
Suppose -8*g + 3*g = -b - 1, 4*b = 2*g - 4. Let w be (0 + b)*1/(-2). Factor -3*k**3 - 4*k + w*k**4 + 6*k**2 + 0.
k*(k - 2)**3/2
Let d(r) be the third derivative of 5*r**8/336 - 2*r**7/21 + 4*r**5/3 - 10*r**4/3 + 3*r**2. Factor d(b).
5*b*(b - 2)**3*(b + 2)
Let o be (-15)/(-45) + 58126/13020. Let x = o - -1/434. Factor -2/5*l**3 - 16/5 - x*l - 12/5*l**2.
-2*(l + 2)**3/5
Let r(j) = j**3 + j - 1. Let y(u) = 2*u**3 + 2*u**2 - 8*u + 1. Suppose 16 = 3*v - 2. Let g(n) = v*r(n) + 2*y(n). Find h such that g(h) = 0.
-1, -2/5, 1
Factor 2/11*c**4 + 0 - 18/11*c + 10/11*c**3 + 6/11*c**2.
2*c*(c - 1)*(c + 3)**2/11
Let j(l) be the first derivative of -4*l**5/5 - 5*l**4 - 12*l**3 - 14*l**2 - 8*l + 15. What is g in j(g) = 0?
-2, -1
Let d be 5 + -2 + -2 + 1. Let 12 + 6*f**d - 6*f**2 + 12*f**2 + 12*f + 14*f = 0. Calculate f.
-3/2, -2/3
Let z(x) = -x + 11. Let t be z(8). Suppose 4*a - 5*k + 9 = 36, -4*k - 12 = 0. Factor 4*b + 2*b**2 - 3*b - 6*b**t + 4*b**4 - b**a.
b*(b - 1)**2*(4*b + 1)
Let g(o) be the second derivative of -o**8/8400 - o**7/2520 + 7*o**6/3600 + o**5/300 + o**4/3 - 3*o. Let n(v) be the third derivative of g(v). Factor n(p).
-(p - 1)*(p + 2)*(4*p + 1)/5
Let q = -419 - -1259/3. Solve q*j**2 - 2/9*j - 4/9 = 0.
-2/3, 1
What is w in 6/11 + 8/11*w + 2/11*w**2 = 0?
-3, -1
Suppose 0 = 3*v - 4*u - 21, 4*v + 0*u + u = 9. Determine f so that -7 - 2*f + 4*f + 2*f**2 + v = 0.
-2, 1
Factor x + 3*x**5 - x**3 + x**3 + 2*x - 6*x**3.
3*x*(x - 1)**2*(x + 1)**2
Let r(i) = 2*i**2 - 47*i + 122. Let n(l) = 25*l**2 - 565*l + 1465. Let s(q) = -3*n(q) + 35*r(q). Factor s(b).
-5*(b - 5)**2
Suppose 2*j + 2 = 14. Determine w, given that -j*w**2 + 4*w + 2 - w**2 - 7*w**2 + 8*w**3 = 0.
-1/4, 1
Let k(m) = -m**3 + 8*m**2 - 7*m + 2. Let p be k(7). Suppose -w + 4 = w, -5*w + 16 = p*i. Factor -2/7*r + 0 - 2/7*r**i + 4/7*r**2.
-2*r*(r - 1)**2/7
Let a(r) be the second derivative of -r**4/72 + r**3/12 + 13*r. Let a(l) = 0. Calculate l.
0, 3
Let k = 0 + -8. Let y = -5 - k. What is q in -10*q**y + 9*q**2 + 7 - 7 - 2*q = 0?
0, 2/5, 1/2
Let s(q) be the third derivative of -q**4/24 - q**3/3 - 2*q**2. Let n be s(-2). Factor -10/7*d**2 - 4/7*d + 2*d**3 + n.
2*d*(d - 1)*(7*d + 2)/7
Let b(o) = -o - 6. Let w be b(-6). Let n be -8 - -5 - (-7)/2. Factor w + n*p**2 - p.
p*(p - 2)/2
Suppose -2*d = 5*q - 42, -2*q - 2*q + 3*d + 29 = 0. Let g be (16/40)/((-1)/(-5)). Factor 11*w - 7*w - q*w**2 - 4*w**3 - 2*w**g + 10*w**4.
2*w*(w - 1)*(w + 1)*(5*w - 2)
Suppose 10*s - 7*s = 0. Let v(q) be the third derivative of 1/3*q**3 + 0 + 1/30*q**5 + s*q - 1/6*q**4 + q**2. Solve v(d) = 0.
1
Let u(o) = o**5 + o**4 - o**2 - o - 1. Let a(i) = 6*i**5 + 13*i**4 + 10*i**3 - 3*i**2 - 8*i - 5. Let v(w) = a(w) - 3*u(w). Factor v(h).
(h + 1)**4*(3*h - 2)
Let g(k) be the third derivative of -k**6/135 - k**5/270 + k**4/27 + k**3/27 - 5*k**2. What is i in g(i) = 0?
-1, -1/4, 1
Let t(w) be the third derivative of -w**8/1680 - w**7/560 + w**6/240 + w**5/60 + 3*w**2. Let y(r) be the third derivative of t(r). Factor y(f).
-3*(f + 1)*(4*f - 1)
Suppose -4*p + 3 + 9 = 0. Let f = -3 - -6. Factor r**f + 3*r**3 - 3*r**p + r**2.
r**2*(r + 1)
Let w(x) be the first derivative of -x**6/720 - x**5/120 - x**4/48 + 5*x**3/3 - 3. Let y(n) be the third derivative of w(n). Factor y(m).
-(m + 1)**2/2
Let d(w) be the first derivative of -5*w**6/6 + 22*w**5/5 - 3*w**4/4 - 22*w**3/3 + 4*w**2 - 22. Solve d(n) = 0.
-1, 0, 2/5, 1, 4
Let v(b) be the third derivative of b**7/70 - b**6/40 + 7*b**2. Determine a, given that v(a) = 0.
0, 1
Solve -16 + 3 + 17*s**2 + 1 - 21*s**2 + 16*s = 0 for s.
1, 3
Let d = -79/8 - -10. Let c(s) be the first derivative of -1/16*s**4 + 1/6*s**3 + 0*s - 1 - d*s**2. Factor c(b).
-b*(b - 1)**2/4
Suppose f = 2*f + 2, 4*p - 10 = 5*f. Let m(b) be the first derivative of 0*b**2 + p*b - 5/4*b**4 + 2/3*b**3 + 2. Suppose m(x) = 0. What is x?
0, 2/5
Let y(z) be the second derivative of 3*z**5/20 + 3*z**4/4 + z**3 - z. What is x in y(x) = 0?
-2, -1, 0
Let k(h) be the third derivative of h**5/180 + 5*h**4/12 + 25*h**3/2 + 2*h**2. Let k(v) = 0. Calculate v.
-15
Let v(l) be the first derivative of l**4/32 - l**3/24 - l**2/16 + l/8 + 27. Solve v(u) = 0 for u.
-1, 1
Let y = -331 - -1663/5. Find x such that -12/5*x**2 - 2/5 - 2/5*x**4 - 8/5*x - y*x**3 = 0.
-1
Factor -1/6*a**2 - 1/6*a + 0 + 1/3*a**3.
a*(a - 1)*(2*a + 1)/6
Let u(c) be the first derivative of c**6/360 + c**5/40 + c**4/12 - 4*c**3/3 + 7. Let y(w) be the third derivative of u(w). Factor y(o).
(o + 1)*(o + 2)
Let c(k) = -32 - 31 + 3*k + 54. Let r be c(4). Determine q, given that 2/5*q**r + 2*q**4 + 0*q - 2/5*q**2 + 6/5*q**5 + 0 = 0.
-1, 0, 1/3
Let b(t) = t**3 - t**2 + t - 1. Let s(y) be the third derivative of -y**7/210 - y**5/30 + y**4/6 - y**3/6 - 2*y**2. Let o(i) = -2*b(i) + s(i). Solve o(n) = 0.
-1, 1
Let y = -179/7 - -26. Suppose 0*o = -2*o. Factor o + 3/7*w**2 + 0*w + y*w**3.
3*w**2*(w + 1)/7
Find q such that 3/8*q**2 - 3/4 + 3/8*q = 0.
-2, 1
Suppose 3*x - 20 = -2*x. Suppose 0 = 2*b - 4*a - 4, 5*a - x = -2*b - 0*a. Factor -7*v**4 - 12*v**3 - v**4 - 3*v**2 - 5*v**2 - 2*v - b*v**5.
-2*v*(v + 1)**4
Let s(g) = g**3 - g**2 + g. Let q(n) = 5*n**5 - 13*n**4 + 7*n**3 + n**2 + 3*n. Suppose 3*c + 4 = 7*c. Let o(p) = c*q(p) - 3*s(p). Solve o(l) = 0 for l.
-2/5, 0, 1, 2
Let w(a) be the second derivative of -4*a**6/75 - a**5/50 + 2*a**4/15 + a**3/15 - 4*a. W