e t(-9). Let b(q) be the first derivative of 1 + q**3 - 2*q + 1/2*q**v. Suppose b(l) = 0. What is l?
-1, 2/3
Let m(z) be the first derivative of 0*z**2 + 0*z - 2 - 1/5*z**3 - 3/20*z**4. Determine d, given that m(d) = 0.
-1, 0
Factor 1/2*q**3 - 2 + 1/2*q**2 - 2*q.
(q - 2)*(q + 1)*(q + 2)/2
Let n(b) = -6*b**2 + 4*b + 2. Let o(j) = j - 2. Let q be o(5). Let f(m) = -10 - 8 - 2*m**2 + m + 19. Let s(i) = q*n(i) - 10*f(i). Factor s(h).
2*(h - 1)*(h + 2)
Let u = 23 - 15. Let k(h) be the third derivative of 1/90*h**5 + 0*h**4 + 1/504*h**u + 0 - 2*h**2 + 0*h - 1/315*h**7 - 1/180*h**6 + 0*h**3. Factor k(g).
2*g**2*(g - 1)**2*(g + 1)/3
Factor -1/8*j - 1/8*j**5 - 1/4*j**2 + 1/8 + 1/8*j**4 + 1/4*j**3.
-(j - 1)**3*(j + 1)**2/8
Let g(z) be the first derivative of -9 + 2/15*z**3 + 2/5*z**2 + 2/5*z. Determine l so that g(l) = 0.
-1
Let l = 29 - 14. Let d = -13 + l. Suppose 4/7*i - 2/7*i**d - 2/7 = 0. Calculate i.
1
Let d be (-3)/9*(20 + -21). Find o such that 0 - d*o**2 + 2/3*o = 0.
0, 2
Let k(c) be the third derivative of -c**6/60 + c**5/30 - 9*c**2. Determine v so that k(v) = 0.
0, 1
Factor -4*x + 9*x + 7*x + 4*x**2.
4*x*(x + 3)
Let b(m) = -m**3 - 3*m**3 + 2*m**2 + 19*m**3 + m**4 - 11*m. Let n(y) = y**4 + 8*y**3 + y**2 - 6*y. Let z(j) = -4*b(j) + 7*n(j). Factor z(i).
i*(i - 1)**2*(3*i + 2)
Let b(m) = 4*m**3 + 2*m**2 + 2*m - 2. Let a(t) = t**3. Let s(d) = -6*a(d) + b(d). Determine o, given that s(o) = 0.
-1, 1
Suppose 40*d = 35*d + 10. Solve -1/2 - 3*k**2 + d*k + 2*k**3 - 1/2*k**4 = 0.
1
Let t be (-9 - -11) + (-1 - -1). Factor -25*w**2 + 3 + 22*w**t + 0.
-3*(w - 1)*(w + 1)
Let z(r) be the first derivative of 3*r**5/5 + 15*r**4/2 + 37*r**3 + 90*r**2 + 108*r - 20. What is k in z(k) = 0?
-3, -2
Let o(t) be the first derivative of 4*t**5/5 - 4*t**3/3 - 17. Factor o(j).
4*j**2*(j - 1)*(j + 1)
Suppose 7*d = 4*d + 12. Let n = d - 2. Factor -p**4 - 4*p**4 - 10*p**3 - 3*p**4 - 4*p**n + 2*p**2.
-2*p**2*(p + 1)*(4*p + 1)
Let h(b) be the third derivative of b**6/180 - b**5/30 + 4*b**3/9 - 2*b**2. Factor h(z).
2*(z - 2)**2*(z + 1)/3
Suppose -5*n + 13 = -17. Let m(w) = -w + 6. Let g be m(n). Factor 5*a**5 - 8*a**4 + g*a**3 + a**2 + a**3 + a**2.
a**2*(a - 1)**2*(5*a + 2)
Suppose 0*m = -m + 2. Suppose -2*q - 2*z = -m, -2*q + z = 5*z. Factor -3*w**2 - 2*w + 4*w**2 + w**q + 4*w**2.
2*w*(3*w - 1)
Let i(w) = -w**2 - 6*w - 5. Let r be i(-4). Suppose 6 = r*h - 0. Factor 2*z + 0*z**3 + 3*z**3 - h*z.
3*z**3
Let u(i) be the second derivative of -i**7/105 + 4*i**6/75 - 3*i**5/25 + 2*i**4/15 - i**3/15 + 11*i. Let u(q) = 0. Calculate q.
0, 1
Let p(g) be the second derivative of g**7/84 + g**6/20 + g**5/20 - g**4/12 - g**3/4 - g**2/4 - 5*g. Factor p(j).
(j - 1)*(j + 1)**4/2
Let j be 5 + 2*(-99)/42. Let y(x) = x + 6. Let l be y(-4). Let 6/7*g**4 + j*g**l + 0 + 0*g - 2/7*g**5 - 6/7*g**3 = 0. What is g?
0, 1
Let k(i) be the second derivative of i**4/6 - i**3/3 + 3*i. Factor k(t).
2*t*(t - 1)
Let p(l) be the third derivative of -l**9/2016 + l**8/840 + l**7/1680 - l**6/360 - 5*l**3/6 - 4*l**2. Let k(z) be the first derivative of p(z). Factor k(j).
-j**2*(j - 1)**2*(3*j + 2)/2
Let i be (-4)/6 + 20/21. Let c = -730/21 + 106/3. Factor -2/7*p**4 - 2/7*p + c*p**3 + 4/7*p**2 - 2/7 - i*p**5.
-2*(p - 1)**2*(p + 1)**3/7
Let h(o) be the first derivative of -4*o**5/5 - 8*o**4 - 88*o**3/3 - 48*o**2 - 36*o + 16. Factor h(g).
-4*(g + 1)**2*(g + 3)**2
Let p be -4*(-3)/4 - 1. Suppose 16 = -4*g, g = 5*l - 0*g - 14. Find u such that -p*u + 0 + 5 - 5 + 3*u**l = 0.
0, 2/3
Let r be -1 + (-2 - -4)/(-2). Let z(c) = 2*c**2 + 2*c - 1. Let h be z(r). Find n, given that -2/3*n - 1/6*n**4 + 0 - 4/3*n**2 - 5/6*n**h = 0.
-2, -1, 0
Suppose -283 - 3*o**3 + 283 = 0. What is o?
0
Let u be 30/(-9)*(-18)/10. Let h be (6/20)/(u/5). Find z such that -h*z**2 - 1/2 - 3/4*z = 0.
-2, -1
Let f(z) be the first derivative of -z**6/140 + z**5/210 + z**4/42 - 3*z**2/2 - 3. Let d(p) be the second derivative of f(p). Factor d(q).
-2*q*(q - 1)*(3*q + 2)/7
Factor 2/11*w**3 + 10/11*w + 4/11 + 8/11*w**2.
2*(w + 1)**2*(w + 2)/11
Let w(h) = -h**3 - h**2 + h. Let q(m) = 6*m**3 - 6*m**2 - 3*m. Let i(c) = -q(c) - 3*w(c). Factor i(j).
-3*j**2*(j - 3)
Let o = 29/26 - 8/13. Factor -1/3*k**3 - 1/6*k**5 + 1/2*k**4 - 1/3*k**2 - 1/6 + o*k.
-(k - 1)**4*(k + 1)/6
Let a(h) be the second derivative of -h**6/12 + 5*h**4/24 - 25*h. Let a(c) = 0. What is c?
-1, 0, 1
Factor -10/7*a - 2/7*a**2 - 8/7.
-2*(a + 1)*(a + 4)/7
Let f(n) = 3*n**5 - 11*n**3 - 10*n**2 + 4*n. Let u(z) = -4*z**5 - z**4 + 11*z**3 + 9*z**2 - 4*z. Let y(j) = -5*f(j) - 6*u(j). Find i, given that y(i) = 0.
-1, 0, 2/3
Let g(f) be the third derivative of -f**6/480 + 7*f**4/96 + f**3/4 - 3*f**2. Determine v so that g(v) = 0.
-2, -1, 3
Let x(v) be the first derivative of -1 + 1/3*v**3 + 1/2*v**2 + 0*v. Let x(o) = 0. What is o?
-1, 0
Factor 0*u**2 + 28/5*u**4 + 0 + 0*u + 8/5*u**3 + 4*u**5.
4*u**3*(u + 1)*(5*u + 2)/5
Let m be (312/1274)/(4/14). Factor 0 - m*a**3 + 4/7*a**4 + 2/7*a + 0*a**2.
2*a*(a - 1)**2*(2*a + 1)/7
Let o(v) be the first derivative of -v**3 + 54*v**2 - 972*v + 45. Factor o(g).
-3*(g - 18)**2
Find t such that -14/3*t + 2/3*t**3 - 8/3 - 4/3*t**2 = 0.
-1, 4
Let b(s) be the second derivative of 3*s**5/2 + 7*s**4/2 + 11*s**3/5 + 3*s**2/5 + 42*s - 1. Factor b(w).
6*(w + 1)*(5*w + 1)**2/5
Let h = -252 - -252. Factor g**3 + h*g + 1/2*g**4 + 1/2*g**2 + 0.
g**2*(g + 1)**2/2
Let b(t) be the third derivative of t**6/360 - t**5/90 - t**4/72 + t**3/9 + 4*t**2. What is o in b(o) = 0?
-1, 1, 2
Let u = 68 + -65. Let j(s) be the first derivative of -1/4*s**4 - 1 - 1/3*s**u + 0*s + s**2. Factor j(y).
-y*(y - 1)*(y + 2)
Let p(z) = -z**3 - 10*z**2 - 10*z - 6. Let d be p(-9). Suppose -d*g + 4 = -2. Let 1 - 6*h + h - h**2 + 3*h - g = 0. What is h?
-1
Let c be (1 - 0)/((-56)/(-16)). Factor 2/7 + c*v**4 + 12/7*v**2 + 8/7*v + 8/7*v**3.
2*(v + 1)**4/7
Let z(s) = -7*s**4 - 2*s**3 - 4*s**2 + 10*s - 1. Let u(x) = 6*x**4 + 3*x**3 + 3*x**2 - 9*x. Let j(d) = -4*u(d) - 3*z(d). Factor j(q).
-3*(q - 1)*(q + 1)**3
Let q(d) = 5 + 4*d + 0*d**2 - 2*d - 3*d**3 + d**2. Let i(h) = h**2 - h - 1. Let k(z) = -5*i(z) - q(z). Factor k(u).
3*u*(u - 1)**2
Let g(r) = r**5 + r**2 - 1. Let i(t) = 8*t**5 + 12*t**4 - 11*t**3 - 23*t**2 + 12*t + 5. Let v(y) = 3*g(y) - i(y). Solve v(j) = 0.
-2, -2/5, 1
Let g be (-15)/(-6)*1/5. Solve -3/2*l - g - 3/2*l**2 - 1/2*l**3 = 0.
-1
Let o(y) = 10*y**5 + 12*y**4 + 16*y**3 - 12*y**2 + 10*y - 12. Let l(b) = b**5 + b**4 + b**3 - b**2 + b - 1. Let a(g) = -12*l(g) + o(g). Factor a(v).
-2*v*(v - 1)**2*(v + 1)**2
Suppose -5*a + 11 = -9. Let r be 4/(-6*a/(-12)). Suppose 3/2*x**r + 0 - 1/2*x - 3/2*x**3 + 1/2*x**4 = 0. Calculate x.
0, 1
Let v(l) = -6*l**5 + 4*l**4 - l**3 - l**2 - l - 5. Let r(f) = 7*f**5 - 4*f**4 + 2*f**2 + f + 6. Let c(n) = -5*r(n) - 6*v(n). Let c(o) = 0. Calculate o.
0, 1
Factor -5*a**3 + a**3 + a**5 - 7*a**4 + 8*a**2 + 3*a**5 - a**4.
4*a**2*(a - 2)*(a - 1)*(a + 1)
Let v be 6/(-33) - (-276)/66. Let s(r) be the second derivative of 0*r**2 - 4*r + 0 + 1/9*r**3 - 1/36*r**v. Factor s(b).
-b*(b - 2)/3
Let a(i) be the first derivative of 9*i**5/5 - 9*i**4/4 + 2*i**3 - 4. Let q(h) = -h**4. Let w(s) = a(s) + 6*q(s). Factor w(m).
3*m**2*(m - 2)*(m - 1)
Let c(d) = d**2 + d. Suppose -9 = -y - 2*t, y + 10 = -y + 3*t. Let k(l) = 2*l**2 + 4*l. Let b(n) = y*k(n) - 3*c(n). Let b(f) = 0. Calculate f.
0, 1
Let v(k) be the second derivative of k**7/21 + k**6/5 + k**5/10 - k**4/2 - 2*k**3/3 - 7*k. Find h such that v(h) = 0.
-2, -1, 0, 1
Let f(s) be the third derivative of 2*s**3 + 0*s - 2/3*s**4 + 1/15*s**5 - 4*s**2 + 0. Factor f(g).
4*(g - 3)*(g - 1)
Let f(i) be the third derivative of 1/28*i**4 + 0 + 1/21*i**3 + 1/420*i**6 + 4*i**2 + 0*i + 1/70*i**5. Factor f(a).
2*(a + 1)**3/7
Let s(m) be the first derivative of 1 + 0*m - 1/3*m**2 + 1/3*m**3 - 1/5*m**5 + 1/12*m**4 + 1/18*m**6. Let s(p) = 0. What is p?
-1, 0, 1, 2
Let u(z) = -z**2 + 9*z + 3. Let s be u(8). Let m = 15 - s. Factor -3*p**m - 2*p**3 - 4*p**4 - p**4.
-2*p**3*(4*p + 1)
Let x(a) be the first derivative of a**4 - 4*a**3 + 16*a + 8. Solve x(j) = 0 for j.
-1, 2
Let 32*y - y**2 - 30*y - 5*y**3 + 2*y**3 = 0. What is y?
-1, 0, 2/3
Let a(c) = c**2 - 7*c + 2. Let o be a(6). Let j be 1/(-7) + o/(-28). Factor j*p - 4/3*p**4 + 1/3*p**2 - p**3 + 0.
-p**2*(p + 1