q**3 + 1/24*q**4. Factor j(s).
(s + 1)*(s + 4)/5
Let d(y) be the third derivative of -7*y**8/192 - y**7/40 + 73*y**6/480 + 17*y**5/240 - y**4/4 + y**3/6 - 4*y**2. Determine q, given that d(q) = 0.
-1, 2/7, 1
Let g(t) be the third derivative of 2/3*t**4 + 0 - 8/3*t**3 + 1/15*t**5 + 0*t + 8*t**2 - 1/30*t**6. Let g(w) = 0. Calculate w.
-2, 1, 2
Suppose 0*b + 3*b = 18. Find j, given that -14*j**5 - 4*j - 2*j + 10*j**4 - 4*j + 18*j**3 - 10*j**2 + b*j = 0.
-1, -2/7, 0, 1
Let b(v) be the third derivative of -v**6/1980 + v**5/660 - v**3/6 + 2*v**2. Let g(w) be the first derivative of b(w). Let g(y) = 0. Calculate y.
0, 1
Solve -3*g**5 - g**2 + 0*g**3 + 4*g**3 + 3*g + g**4 + g**3 - 5*g = 0.
-1, -2/3, 0, 1
Let l = 95 + -662/7. Let a(i) be the first derivative of 2/21*i**3 - l*i**2 + 4/7*i - 1. Find o such that a(o) = 0.
1, 2
Let z(m) be the first derivative of -m**3 - 11*m**2/6 - 2*m/3 + 1. Let z(r) = 0. Calculate r.
-1, -2/9
Factor -3/8*o**5 - 9/8*o + 15/4*o**2 + 0 - 9/2*o**3 + 9/4*o**4.
-3*o*(o - 3)*(o - 1)**3/8
Factor 8*f**2 - 7*f**2 + 6 - 2*f**2 - 4*f - f**2.
-2*(f - 1)*(f + 3)
Let h(b) be the third derivative of -b**7/420 - b**6/40 - 13*b**5/120 - b**4/4 - b**3/3 + 14*b**2. Solve h(y) = 0.
-2, -1
Let w(y) be the third derivative of -2*y**7/105 - 19*y**6/120 - 9*y**5/20 - y**4/3 + 2*y**3/3 - 18*y**2. Factor w(p).
-(p + 1)*(p + 2)**2*(4*p - 1)
Let r(c) = 3*c**2 - c - 2. Suppose 3 = -2*y + 11. Let t(x) = x**2 - 1. Let j(d) = y*t(d) - r(d). Determine m so that j(m) = 0.
-2, 1
Let s(j) = 27*j**4 + 21*j**3 - 42*j**2 + 6*j + 6. Let f(p) = -53*p**4 - 41*p**3 + 85*p**2 - 13*p - 11. Let x(a) = 6*f(a) + 11*s(a). Suppose x(n) = 0. What is n?
-2, 0, 2/7, 1
Let y(v) be the second derivative of -15*v**4/4 - 17*v**3/2 - 3*v**2 + 22*v. Find x such that y(x) = 0.
-1, -2/15
Suppose 2*d - 8 = -4*f - 24, -5 = f. Factor 36*u**3 + 65*u**d - 3*u**4 - 3*u - 25*u**2 + 19*u + 2*u**5 + 17*u**4.
2*u*(u + 1)*(u + 2)**3
Let u be 3/((1 - 5) + 3). Let k be u/(9/(-21)) + -4. Find a such that 86*a**k - 1/2 + 7*a + 32*a**5 - 73/2*a**2 - 88*a**4 = 0.
1/4, 1
Let j(z) be the second derivative of -z**6/120 + z**5/20 - z**4/16 - z**3/6 + z**2/2 + 3*z. Factor j(h).
-(h - 2)**2*(h - 1)*(h + 1)/4
Suppose 12*x - 26 = -x. Let z(p) be the first derivative of -1 + 2/3*p - 2/9*p**3 - 1/6*p**x + 1/12*p**4. Solve z(k) = 0.
-1, 1, 2
Let b(v) be the first derivative of v**7/70 - v**6/12 + 7*v**5/60 + v**4/6 - 2*v**3/3 - v**2 - 3. Let g(i) be the second derivative of b(i). Factor g(u).
(u - 2)*(u - 1)**2*(3*u + 2)
Let d(k) be the third derivative of -k**5/105 + k**4/42 + 3*k**2. Solve d(j) = 0 for j.
0, 1
Factor -5/6*n + 7/6*n**2 - 1/3.
(n - 1)*(7*n + 2)/6
Suppose 5*x = q + 20, 2*x = -2*x + 16. Let w = q - -2. Let 2/7*o**5 + 0*o - 2/7*o**4 + 0 - 2/7*o**3 + 2/7*o**w = 0. What is o?
-1, 0, 1
Let o(v) = -5 + 1 + 7 - 3*v**2. Let u(z) = -2*z**2 + 2. Let k(n) = -3*o(n) + 5*u(n). Factor k(i).
-(i - 1)*(i + 1)
Let j(f) be the first derivative of 0*f - 2/3*f**3 - 1/60*f**5 - 2 + 0*f**2 - 1/24*f**4 - 1/360*f**6. Let c(x) be the third derivative of j(x). Factor c(g).
-(g + 1)**2
Let s(p) be the first derivative of p**6/120 + p**5/30 - p**4/24 - p**3/3 + 3*p**2 - 6. Let r(u) be the second derivative of s(u). Determine w so that r(w) = 0.
-2, -1, 1
Let w be (2/(-3))/((-20)/(-30))*-2. Suppose 2/5*f + 6/5*f**3 + 2/5*f**4 + 0 + 6/5*f**w = 0. What is f?
-1, 0
Let l(f) = -7*f + 7. Let b be l(1). Solve b - 2/5*g**2 + 0*g = 0.
0
Factor 124*n**2 - 297*n**3 + 154*n**3 - 16 + 40*n + 18*n**4 + 229*n**3.
2*(n + 1)*(n + 2)**2*(9*n - 2)
Let y = -20 - -43. Let k = y + -21. Determine m, given that 4/3 + 2*m + 2/3*m**k = 0.
-2, -1
Suppose -6 = -14*g - 6. Find i, given that g - 2/5*i**3 - 4/5*i**2 - 2/5*i = 0.
-1, 0
Let b(i) be the second derivative of 0 - 1/36*i**3 + 5/72*i**4 + 0*i**2 - 7/120*i**5 + 1/60*i**6 + i. Factor b(o).
o*(o - 1)**2*(3*o - 1)/6
Let w = -2022 + 1354. Let z = 3352/5 + w. Suppose -2/5 + 18/5*a**4 - 8/5*a**5 + z*a - 16/5*a**2 - 4/5*a**3 = 0. Calculate a.
-1, 1/4, 1
Suppose -4*d - n + 10 = -d, -3*d + 5*n = -4. Suppose x = -4*r + 13, -2*r + 14 + 3 = -d*x. Factor 9*o**3 + o**2 - 3*o**3 - r*o**2 - 3*o**4.
-3*o**2*(o - 1)**2
Let p be -1 + 3*(-2 - -3). Let b(g) be the first derivative of -1/7*g**2 + 1/14*g**4 - 2/21*g**3 + 2/35*g**5 + p + 0*g. Find q such that b(q) = 0.
-1, 0, 1
Let f = 165 + -161. Let l(k) be the second derivative of 4*k - 1/22*k**f - 20/33*k**3 + 49/165*k**6 + 4/11*k**2 + 7/11*k**5 + 0. Factor l(x).
2*(x + 1)**2*(7*x - 2)**2/11
Let r = 10 - 8. Factor -5*l + 0*l**2 - 72*l + 16*l**3 + 13*l - 4*l**r + 16.
4*(l - 2)*(l + 2)*(4*l - 1)
Let r be 3/2 + (-9)/(-6). Let n be (r/(-6))/((-9)/4). Factor n*i**4 - 2/9*i**5 + 4/9*i**3 - 2/9*i + 2/9 - 4/9*i**2.
-2*(i - 1)**3*(i + 1)**2/9
Let f(g) be the first derivative of -g**4/2 - 2*g**3/3 + 5. Factor f(b).
-2*b**2*(b + 1)
Let r = -1 - -6. Suppose -3 = -4*m + r. Factor 1/3*x**m + 0*x - 1/3.
(x - 1)*(x + 1)/3
Determine l so that 0*l**4 + 2*l**4 + 10*l**2 - 8*l**3 - 9*l + 5*l = 0.
0, 1, 2
Let d = 14 + -14. Let w(k) be the second derivative of -1/42*k**4 + 0*k**2 + 1/147*k**7 - 1/70*k**5 + 0 + d*k**3 + 2*k + 1/105*k**6. Factor w(j).
2*j**2*(j - 1)*(j + 1)**2/7
Let s(p) be the first derivative of -4 + 0*p + 0*p**2 + p**4 - 8/3*p**3. Factor s(i).
4*i**2*(i - 2)
Let q = 47 + 25. Let f be ((-12)/q)/((-1)/2). Determine a so that -1/3*a**2 + 0 - f*a = 0.
-1, 0
Suppose 0 = -4*u + 12 - 28. Let m = -4 - u. Solve -2*j**3 - 2 + 7*j**3 + m*j - 3*j - 4*j**3 = 0.
-1, 2
Let u(l) be the third derivative of -l**7/2100 - l**6/1200 + l**5/600 + l**4/240 - 24*l**2. Suppose u(h) = 0. Calculate h.
-1, 0, 1
Factor 5/6*i - 5/6*i**3 + 1/6*i**2 + 0 - 1/6*i**4.
-i*(i - 1)*(i + 1)*(i + 5)/6
Let l(x) = -3*x**2 + 1. Let w(h) = 16*h**2 - h - 6. Let q(v) = 11*l(v) + 2*w(v). Factor q(o).
-(o + 1)**2
Suppose 1 = -3*n + 3*a - 8, 6 = -4*n + 2*a. Let j(y) be the third derivative of 1/240*y**5 + n*y**3 + 2*y**2 + 0 + 0*y - 1/96*y**4. Find r, given that j(r) = 0.
0, 1
Let b = -1/13 + 16/39. Suppose 0 - 5/6*z**4 + 1/3*z**3 - b*z + 5/6*z**2 = 0. What is z?
-1, 0, 2/5, 1
Let t(r) be the second derivative of -10*r**7/21 - 7*r**6/6 + 7*r**5/2 + 65*r**4/12 - 50*r**3/3 + 10*r**2 + 11*r. Solve t(i) = 0 for i.
-2, 1/4, 1
Let g be 14/24*(-15)/(-10). Let p = g - 5/8. Suppose 1/2*b**2 - p*b + 0 - 1/4*b**3 = 0. What is b?
0, 1
Let q(o) = 20*o**2 + 6*o + 20. Let y be (6/(-4))/(21/(-98)). Let d be (12/y)/(2/7). Let b(v) = -7*v**2 - 2*v - 7. Let g(s) = d*q(s) + 17*b(s). Factor g(j).
(j + 1)**2
Let p(y) be the third derivative of -5*y**8/1848 - 2*y**7/105 - 23*y**6/660 + 7*y**5/165 + 7*y**4/33 + 8*y**3/33 - 9*y**2. Let p(z) = 0. What is z?
-2, -1, -2/5, 1
Let i(g) = g**3 - 9*g**2 - 13*g + 32. Let o be i(10). Let b(n) be the second derivative of 1/90*n**5 - 1/27*n**3 + 0 + 1/54*n**4 - 1/9*n**o + 4*n. Factor b(q).
2*(q - 1)*(q + 1)**2/9
Let k be (0 - -4) + -7 - (-2 - 1). Let i(u) be the first derivative of 1/9*u**3 + 3 + 1/6*u**2 + k*u. Factor i(h).
h*(h + 1)/3
Let q(n) be the first derivative of 0*n + 2/15*n**5 - 4 + 0*n**2 - 1/6*n**4 + 0*n**3. Factor q(b).
2*b**3*(b - 1)/3
Solve 32/3*r**3 + 0 - 10/3*r**4 + 0*r - 50/3*r**5 - 8/3*r**2 = 0 for r.
-1, 0, 2/5
Let i = -31 - -31. Factor 0 - 2/7*h**4 + i*h + 2/7*h**3 + 0*h**2.
-2*h**3*(h - 1)/7
Let v(z) be the second derivative of 109/70*z**5 + 6/5*z**6 + 3*z + 4/21*z**3 + 0 + 6/7*z**4 + 0*z**2 + 1/3*z**7. Factor v(n).
2*n*(n + 1)**2*(7*n + 2)**2/7
Let f(q) be the second derivative of q**4/21 + 4*q**3/3 + 14*q**2 - 23*q. Suppose f(g) = 0. What is g?
-7
Let y = 983/4 - 245. Factor y*b**2 + 1/4*b**3 + 3/4*b + 1/4.
(b + 1)**3/4
Let k(y) be the third derivative of y**5/510 + y**4/204 + 10*y**2 + 1. What is f in k(f) = 0?
-1, 0
Suppose 0*h - 4*h = 3*u - 6, -6 = 3*u. Suppose 1/7*r**4 + 13/7*r**2 + 6/7*r**h + 12/7*r + 4/7 = 0. What is r?
-2, -1
Let y = 27 + -26. Let l be 3/15*(y + 24). Factor -a**2 + a**3 + 1/2*a**4 - 1/2*a**l - 1/2*a + 1/2.
-(a - 1)**3*(a + 1)**2/2
Let o = -3225/4 - -4339/12. Let m = 450 + o. Suppose -2*i**3 + 4/3 - 14/3*i + m*i**2 = 0. Calculate i.
2/3, 1
Let n(a) be the second derivative of a**4/4 + 3*a**3 + 27*a**2/2 - 14*a. Let n(y) = 0. Calculate y.
-3
Let m(x) be the second derivative of x**5/5 + 2*x**4/3 + 2*x**3/3 + 7*x. What is y in m(y) = 0?
-1, 0
Let f