 0 + 2*r. Let u(q) be the first derivative of b(q). Factor u(j).
j*(j + 1)**2/4
Let l(b) be the second derivative of b**6/45 + b**5/15 - b**4/18 - 2*b**3/9 + 4*b. Factor l(z).
2*z*(z - 1)*(z + 1)*(z + 2)/3
Let v(y) be the second derivative of 0*y**3 + 0*y**6 - 1/12*y**4 + 0*y**2 - 3/20*y**5 + 2/21*y**7 - 5*y + 0. Factor v(b).
b**2*(b - 1)*(2*b + 1)**2
Let v(i) be the first derivative of -i**3/3 - 2*i**2 - 4*i - 37. Factor v(t).
-(t + 2)**2
Let p(y) be the first derivative of -y**7/735 - y**6/420 + y**5/210 + y**4/84 + 3*y**2 + 7. Let m(v) be the second derivative of p(v). Factor m(h).
-2*h*(h - 1)*(h + 1)**2/7
Let s(r) be the third derivative of -r**8/2240 - r**7/280 - r**6/80 - r**5/40 - r**4/8 - r**2. Let y(a) be the second derivative of s(a). Factor y(c).
-3*(c + 1)**3
Let o(i) = 20*i**2 + 28*i - 40. Let a(m) = 13*m**2 + 19*m - 27. Let d(u) = -8*a(u) + 5*o(u). Determine h, given that d(h) = 0.
-4, 1
Let d be (38/20 - 1)*(-504)/(-189). Let c(b) be the first derivative of 3/4*b**4 - 2 + d*b**5 + 0*b**2 + 0*b + 0*b**3. Let c(t) = 0. What is t?
-1/4, 0
Let k = -1451/4 + 363. Determine x, given that 0 - 1/4*x**2 - 1/2*x + k*x**3 = 0.
-1, 0, 2
What is y in 24 + 43*y**2 - 12*y**3 - 56*y**2 - 68*y + 35*y**2 + 34*y**2 = 0?
2/3, 1, 3
Let v(p) be the third derivative of -p**8/10080 + p**7/2520 + p**6/2160 - p**5/360 - 5*p**3/6 + 5*p**2. Let i(g) be the first derivative of v(g). Factor i(t).
-t*(t - 2)*(t - 1)*(t + 1)/6
Let j(y) = -5*y**2 + 9*y + 5. Let t(q) = -16*q**2 + 28*q + 14. Let f(g) = 20*j(g) - 6*t(g). Determine n, given that f(n) = 0.
-1, 4
Let z = -1 + 3. Factor -1 - z*u - 2*u**4 + 6*u**2 + 2*u**4 - 2*u**4 + 2*u**3 - 3.
-2*(u - 2)*(u - 1)*(u + 1)**2
Let u be ((-70)/(-3))/(-7) + 4. Solve -8/3*g - 8/3 - u*g**2 = 0 for g.
-2
Determine g, given that -3/2*g**5 - 9*g**3 + 45/2*g + 9*g**4 - 24*g**2 + 27 = 0.
-1, 2, 3
Let k(t) = t**4 - t**2 - t + 1. Let a(s) = 2*s**5 + 18*s**4 + 40*s**3 + 18*s**2 - 44*s - 34. Let w(d) = a(d) - 2*k(d). Suppose w(n) = 0. What is n?
-3, -2, -1, 1
Let p(b) be the third derivative of 0 - 9/20*b**5 + 8*b**2 + 0*b + 1/4*b**4 + 0*b**3. Factor p(h).
-3*h*(9*h - 2)
Let g = 7/6 + -1/2. Factor -2/3*t + 2/3 - g*t**2 + 2/3*t**3.
2*(t - 1)**2*(t + 1)/3
Let y(p) = -p**2 - p. Let q(x) = -7*x**2 + 8*x - 49. Let b(m) = q(m) - 6*y(m). Factor b(c).
-(c - 7)**2
Factor -3*f - 12*f**3 + 11*f**5 - 9*f**5 - 10*f**2 - 3*f**4 - 3*f**5 - 3*f**4.
-f*(f + 1)**3*(f + 3)
Let b(j) be the third derivative of j**5/360 - j**4/48 + j**3/18 - 22*j**2. Determine z so that b(z) = 0.
1, 2
Factor 52*x**3 + 54*x**2 + 10*x + 24*x**4 - 6*x**2 + 3*x**5 + x**5 + 6*x.
4*x*(x + 1)**2*(x + 2)**2
Let m be (-126)/70 - 3/(-1). Find v, given that -2*v**2 - 4/5*v + 0 - m*v**3 = 0.
-1, -2/3, 0
Let q(p) be the third derivative of -p**8/1848 + 2*p**7/231 - 13*p**6/660 - 2*p**5/11 - 3*p**4/11 - 7*p**2 + 3*p. Solve q(g) = 0 for g.
-1, 0, 6
Let k(a) be the second derivative of -a**6/40 - 9*a**5/80 - 3*a**4/16 - a**3/8 - a. Factor k(u).
-3*u*(u + 1)**3/4
Let k(q) be the first derivative of 2/3*q**3 + 3 + 2/3*q**6 - 2*q**4 - 1/5*q**5 - q + 2*q**2. Let k(i) = 0. What is i?
-1, 1/4, 1
Let x(b) = b**2 - 8*b - 7. Let k be x(9). Suppose 1 - k = -a. Let -u + 3*u + u**2 - u + a + u = 0. What is u?
-1
Factor -4/5*y + 4/5 + 1/5*y**3 - 1/5*y**2.
(y - 2)*(y - 1)*(y + 2)/5
Let p be (0/3)/(-3) + 3 - 0. Let b(x) be the first derivative of p - 2*x**3 - 2*x + 3*x**2 + 1/2*x**4. Factor b(s).
2*(s - 1)**3
Let y(w) = 4*w**2 + 52*w - 224. Let a(q) = q**2 + 10*q - 45. Let u(z) = 16*a(z) - 3*y(z). Solve u(m) = 0 for m.
-4, 3
Let a(z) be the second derivative of -z**6/120 + z**5/16 - z**4/6 + z**3/6 + 13*z. Solve a(f) = 0 for f.
0, 1, 2
Solve 6/7*v + 9/7 + 1/7*v**2 = 0 for v.
-3
Let q be 112/(-21) - 2/3. Let m(b) = 5*b**2 + 5*b - 4. Let c(s) = -s**2 - s + 1. Let n(w) = q*c(w) - m(w). Determine z, given that n(z) = 0.
-2, 1
Solve -3*p - 91*p**3 + 96*p**3 + 3*p = 0 for p.
0
Let v(z) be the second derivative of 0 + z + 1/6*z**3 - 1/3*z**2 - 1/36*z**4. Factor v(l).
-(l - 2)*(l - 1)/3
Solve 1/2*t**2 + 1/4*t**3 + 0*t + 0 = 0.
-2, 0
Determine l, given that 3*l - 2*l + 20 - l**2 - 20 = 0.
0, 1
Let x(s) be the second derivative of s**4/14 - 16*s**3/7 + 192*s**2/7 + 8*s. Let x(r) = 0. Calculate r.
8
Let k(m) be the second derivative of m**5/4 + 5*m**4/6 + 21*m. Suppose k(g) = 0. What is g?
-2, 0
Let q(l) be the third derivative of l**5/60 - 2*l**3/3 - 8*l**2 - l. Factor q(y).
(y - 2)*(y + 2)
Let n be ((-12)/(-8))/((-9)/(-24)). Find w such that 4*w**2 - 94 + w**n + 94 - 4*w**3 = 0.
0, 2
Let l(z) be the first derivative of 3 + 1/4*z**4 + 0*z**2 + 0*z**3 - 1/5*z**5 + 0*z. Factor l(y).
-y**3*(y - 1)
Let h = 8 - 6. Determine r, given that -h*r**2 - 1 - 3*r + r + 3*r**2 + 2 = 0.
1
Solve 0*k**3 + 9*k**4 + 15*k**5 - 6*k**2 - 18*k**5 - 6*k**3 - 2 - 1 + 9*k = 0 for k.
-1, 1
Let s(y) be the third derivative of -y**7/280 + y**6/80 - y**4/16 + y**3/8 + 9*y**2. Determine o so that s(o) = 0.
-1, 1
Factor 0 + 20/17*d**3 + 0*d + 50/17*d**2 + 2/17*d**4.
2*d**2*(d + 5)**2/17
Suppose -12*v = -14*v + 6. Let r(y) be the third derivative of 0*y + 0 + 0*y**v - 1/270*y**5 + y**2 - 1/108*y**4. Factor r(p).
-2*p*(p + 1)/9
Let n(i) be the first derivative of -i**5/100 + i**4/20 - i**3/10 + i**2/10 + 4*i - 1. Let a(w) be the first derivative of n(w). Factor a(s).
-(s - 1)**3/5
Let c(a) be the second derivative of a**6/285 + 3*a**5/190 + a**4/38 + a**3/57 - 10*a. Solve c(h) = 0.
-1, 0
Let o(w) be the first derivative of 4*w**3/3 + 8*w**2 + 12*w + 46. Suppose o(a) = 0. Calculate a.
-3, -1
Let w = -4 - -6. Determine o so that 2 - w - 2*o**5 + o**4 = 0.
0, 1/2
Let u(p) = -p**2 + 8*p + 4. Let x be u(6). Suppose m + c = 3*m - 8, 0 = -2*m + 5*c + x. Factor -m + h**2 + 4 + 3*h - h.
(h + 1)**2
Let j(t) be the second derivative of t**6/30 + 2*t**5/15 + t**4/6 + t**2/2 - 6*t. Let v(h) be the first derivative of j(h). Find z such that v(z) = 0.
-1, 0
Suppose -2*b = 2*b. Let z(u) be the first derivative of u**4 + 2/3*u**3 - 2 - u**2 + b*u. Factor z(q).
2*q*(q + 1)*(2*q - 1)
Factor -1/3*j**2 + 5/3*j - 5/3*j**3 + 1/3.
-(j - 1)*(j + 1)*(5*j + 1)/3
Let u = 12442/7 - 1789. Let t = 85/7 + u. Let 18/7*k - 2*k**2 - t = 0. What is k?
2/7, 1
Determine k, given that -3*k**3 + 3*k**3 - 2*k + k**2 + k**3 = 0.
-2, 0, 1
Factor 3*o**4 + 10 + 9*o**3 + 4*o - 10 - o + 9*o**2.
3*o*(o + 1)**3
Let d(y) = y**2 - 7*y - 1. Let u(o) = 0*o - 4*o + 2*o. Let s(w) = 4*d(w) - 14*u(w). Solve s(j) = 0.
-1, 1
Let a(w) be the first derivative of -49*w**4/24 - 7*w**3/3 - w**2 - 3*w + 4. Let d(c) be the first derivative of a(c). Factor d(o).
-(7*o + 2)**2/2
Let k be (12 + -12)/(-1 + (0 - 1)). Factor k*l**2 + 4/7*l**3 + 2/7 - 4/7*l - 2/7*l**4.
-2*(l - 1)**3*(l + 1)/7
Let l(c) be the third derivative of c**3 + 0*c + 0 + 1/8*c**4 - 1/40*c**6 - 1/10*c**5 + c**2. Factor l(s).
-3*(s - 1)*(s + 1)*(s + 2)
Let o(t) be the second derivative of t**7/1050 + t**6/300 + t**5/300 - 3*t**2/2 + 3*t. Let a(m) be the first derivative of o(m). Determine k so that a(k) = 0.
-1, 0
Find g such that 27*g**2 - 4 + 2*g**3 - 23*g**2 + 10*g - 12*g**2 = 0.
1, 2
Let c(q) = 2*q**3 + 9*q**2 + 10*q + 24. Let x be c(-4). What is z in 8/7*z**3 + x + 2/7*z**4 + 10/7*z**2 + 4/7*z = 0?
-2, -1, 0
Suppose -m + 2*m = 5. Let j = 352 + -346. Solve -3*v - m*v**3 + 3/2*v**4 + j*v**2 + 1/2 = 0 for v.
1/3, 1
Let o(k) be the second derivative of k**5/10 + k**4/6 - 2*k**3/3 - 7*k. Solve o(h) = 0.
-2, 0, 1
Let c(d) = -3*d - 3. Let s be c(-3). Suppose -4*m + 14 - s = 0. Factor t + 4*t - 3*t - 2*t**m.
-2*t*(t - 1)
Suppose 2/7*z + 0 - 4/7*z**4 - 2/7*z**5 + 4/7*z**2 + 0*z**3 = 0. Calculate z.
-1, 0, 1
Let n(v) be the first derivative of -v**6/1080 - v**5/180 - v**4/72 + v**3 - 3. Let q(y) be the third derivative of n(y). Solve q(l) = 0.
-1
Suppose -2 = -2*r - 5*w + 8*w, 2*r - 6 = 2*w. Let a be (64/48)/(r/3). What is j in -10/7*j + 6/7*j**2 + a = 0?
2/3, 1
Let m = 127 + -123. Let u(h) be the second derivative of m*h - 1/6*h**4 + 1/25*h**5 + 0 + 1/15*h**3 + 2/5*h**2. Suppose u(b) = 0. What is b?
-1/2, 1, 2
Let o = 38 + -67. Let w = o + 146/5. Suppose -1/5*s**2 + w*s**3 + 0*s + 0 = 0. What is s?
0, 1
Let i(n) be the first derivative of 3/10*n**5 - 21/4*n**2 - 15/8*n**4 + 5 + 9/2*n**3 + 3*n. Factor i(r).
3*(r - 2)*(r - 1)**3/2
Suppose 27/4*w