vative of -2*n**3/15 - 9*n**2/5 + 121. Factor x(w).
-2*w*(w + 9)/5
Let r(k) be the third derivative of -k**6/600 - 7*k**5/300 - 2*k**4/15 - 2*k**3/5 + 49*k**2. Factor r(v).
-(v + 2)**2*(v + 3)/5
Let b = 119/96 + 3/32. Let i be ((-4)/6 + 0)*-3. Factor 4/3*c + 1/3*c**i + b.
(c + 2)**2/3
Let u(f) be the first derivative of 1/5*f**5 + 22 + 0*f + 0*f**2 + 0*f**3 + 3/4*f**4. Factor u(i).
i**3*(i + 3)
Solve 6 - 4*u**4 + 19 - 42*u**4 - 833*u - 90*u**3 - 49*u**4 + 70*u**2 + 938*u - 15*u**5 = 0 for u.
-5, -1, -1/3, 1
Let r(z) be the first derivative of -98/3*z**5 - 4 + 100/9*z**3 - 10/3*z**2 + 0*z + 35/12*z**4. Find h, given that r(h) = 0.
-1/2, 0, 2/7
Suppose -65 = 5*p - 85. Let f(b) be the second derivative of 2/15*b**3 + 1/60*b**p + 2/5*b**2 + 0 + b. Factor f(a).
(a + 2)**2/5
Let t(o) be the third derivative of o**8/896 + o**7/56 + 9*o**6/80 + 29*o**5/80 + 43*o**4/64 + 3*o**3/4 + 10*o**2 + 3*o. Let t(l) = 0. What is l?
-4, -3, -1
Let x(a) = -3*a**4 + 4*a**3 - 6*a**2 + 1. Let d(f) = -4*f**4 + 5*f**3 - 7*f**2 + 1. Let q(l) = 4*d(l) - 5*x(l). Find z such that q(z) = 0.
-1, 1
Let l be (-2 + -1)/(7*(-6)/42). Factor -8/5 + 18/5*k**l + 22/5*k**2 - 32/5*k.
2*(k - 1)*(k + 2)*(9*k + 2)/5
Let o be 4/6*((-95)/10 + 19). Let -32/3*n - o*n**2 + 16/3 - 5/6*n**3 = 0. What is n?
-4, 2/5
Find d, given that -32/7*d**4 - 2/7*d**5 - 20/7*d**2 + 52/7 + 82/7*d - 80/7*d**3 = 0.
-13, -2, -1, 1
Solve -13/2*q + 20/3 - 1/6*q**2 = 0 for q.
-40, 1
Let x(d) = 0*d**2 - 40 + 2*d**2 + 36 - 4*d. Let z(c) = -2*c**2 + 5*c + 4. Let a(w) = 6*x(w) + 4*z(w). Factor a(i).
4*(i - 2)*(i + 1)
Let j(z) be the second derivative of -z**4/3 + 4*z - 2. Let i be (2/(-2))/((-3)/36). Let u(q) = 11*q**2 + q + 2. Let a(m) = i*j(m) + 4*u(m). Factor a(b).
-4*(b - 2)*(b + 1)
Let s(a) be the third derivative of -1/7*a**4 + 2/7*a**3 - 11*a**2 - 1/280*a**6 + 1/28*a**5 + 0 + 0*a. Determine w so that s(w) = 0.
1, 2
Factor 0*b**3 - 9*b**2 + 16*b - 15/2 + 1/2*b**4.
(b - 3)*(b - 1)**2*(b + 5)/2
Let k(c) be the first derivative of 2*c**3/57 + 16*c**2/19 + 30*c/19 - 411. Factor k(y).
2*(y + 1)*(y + 15)/19
Let z = 18622/7 - 2658. Factor -z*a + 32/7*a**2 + 2/7.
2*(4*a - 1)**2/7
Let r(p) be the first derivative of 25 + 1/6*p**3 + 72*p + 6*p**2. Let r(k) = 0. Calculate k.
-12
Let j(s) be the second derivative of s**4/96 - s**3/48 + 120*s. Factor j(u).
u*(u - 1)/8
Let u(c) be the third derivative of -c**8/3360 + c**7/4410 - 13*c**4/24 + 5*c**2. Let b(o) be the second derivative of u(o). Determine i so that b(i) = 0.
0, 2/7
Let d(j) be the first derivative of -j**7/168 - j**6/120 + 3*j**5/80 + 5*j**4/48 + j**3/12 + 40*j - 39. Let f(k) be the first derivative of d(k). Factor f(n).
-n*(n - 2)*(n + 1)**3/4
Let j(t) be the first derivative of 7*t**6/2 + 3*t**5 - 33*t**4 - 16*t**3 + 96*t**2 - 48*t - 39. Suppose j(b) = 0. Calculate b.
-2, 2/7, 1, 2
Let t(y) be the first derivative of -y**6/3 + 2*y**5 - 3*y**4 - 4*y**3/3 + 7*y**2 - 6*y - 28. What is x in t(x) = 0?
-1, 1, 3
Solve 25 + 49*g**2 + 5*g**3 + 55*g - 14*g**2 - 5*g**2 + 5*g**2 = 0 for g.
-5, -1
Let a be -2*(-5)/(-20)*-2. Let m be 5 - a - (-1 - -3). Let 50*v**4 + 3*v**2 - 46*v**4 - 7*v**m = 0. What is v?
-1, 0, 1
Let d(s) be the second derivative of -s**5/14 - s**4/42 + 175*s. Factor d(f).
-2*f**2*(5*f + 1)/7
Let h(b) = b**2 + 26*b - 32. Let m(n) = -4*n**2 - 78*n + 92. Let r(f) = 10*h(f) + 3*m(f). Factor r(z).
-2*(z - 11)*(z - 2)
Let c(x) = 11*x - 4*x**2 - 3*x - 2*x - 5*x. Let a(l) = 3*l**2. Let o(m) = 5*a(m) + 3*c(m). Factor o(u).
3*u*(u + 1)
Determine j so that -207*j**2 + 52*j**2 + 84*j + 3*j**3 + 107*j**2 = 0.
0, 2, 14
What is r in r + 4*r**2 + 2*r - 21*r - 10*r + 24 = 0?
1, 6
Suppose 6 = -2*x - 2*n, -3*x - 2*n = 2*x. Factor -112*c + 90*c**2 + 184*c**2 + 11 - 78*c**x - 59.
4*(7*c - 6)*(7*c + 2)
Let u(j) be the first derivative of j**5/50 - j**4/15 + j**3/15 - 6*j - 43. Let k(z) be the first derivative of u(z). Let k(f) = 0. What is f?
0, 1
Let l(d) = -2*d**4 + 10*d**3 - 6*d**2 - 3*d - 3. Let i(o) = -2*o + 4. Let h be i(3). Let c(x) = x**3 - x**2 - x - 1. Let g(j) = h*l(j) + 6*c(j). Factor g(y).
2*y**2*(y - 3)*(2*y - 1)
Let p = 9547/14316 - 1/4772. Factor 26/3*j**4 + 0 + 4/3*j - 6*j**3 - p*j**2 - 10/3*j**5.
-2*j*(j - 1)**3*(5*j + 2)/3
Let k(g) be the first derivative of g**7/1890 - g**5/540 - 5*g**2/2 + 8. Let m(l) be the second derivative of k(l). Factor m(f).
f**2*(f - 1)*(f + 1)/9
Solve -1/3*a**4 - 4*a + 5*a**3 + 5/3*a**2 - 4/3 - a**5 = 0.
-2, -1, -1/3, 1, 2
Solve 58/3 + 2/3*r**2 - 20*r = 0.
1, 29
Let i(s) = -5*s**4 - 10*s**3 + 50*s**2 - 76*s + 33. Let q(d) = -2*d**4 - 2*d**3 + d**2 - d. Let l(f) = -5*i(f) + 10*q(f). Solve l(x) = 0.
-11, 1, 3
Factor 150*t + 95*t**2 - t**4 + 32*t**3 + 10*t**4 - 4*t**4 - 82*t**3.
5*t*(t - 6)*(t - 5)*(t + 1)
Let s be ((-46)/69)/((-3)/36*2). Let i(d) be the second derivative of 5/21*d**s + 8/7*d**2 + 0 + 1/35*d**5 + 6*d + 16/21*d**3. Find h such that i(h) = 0.
-2, -1
Let k = 303 + -1513/5. Factor 0 + 1/5*g**2 - k*g**3 + 3/5*g.
-g*(g + 1)*(2*g - 3)/5
Factor -33*l**3 - l**5 - 570*l**2 - 25*l**4 + 163*l**2 - 242*l - 156*l**3.
-l*(l + 1)*(l + 2)*(l + 11)**2
Let o(m) be the first derivative of -25/9*m**6 + 8/3*m**4 + 0*m + 0*m**2 - 1 - 2/3*m**5 - 8/9*m**3. Determine j so that o(j) = 0.
-1, 0, 2/5
Let v = 1037 + -1033. Let d(m) be the third derivative of -2/15*m**5 - 4/105*m**7 + 0 + v*m**2 + 0*m**3 + 0*m - 1/168*m**8 - 1/12*m**4 - 1/10*m**6. Factor d(a).
-2*a*(a + 1)**4
Let n = 48 - 42. Suppose 10*d + n*d = 32. Suppose 3/2*w**d + 3/2 + 3*w = 0. Calculate w.
-1
Let c(q) be the second derivative of 0*q**2 + 0 - 1/18*q**4 + 0*q**3 + 1/30*q**5 - 24*q. Factor c(b).
2*b**2*(b - 1)/3
Let i(n) be the third derivative of n**5/60 - n**4/24 - n**3/3 - 23*n**2. Let i(o) = 0. What is o?
-1, 2
Suppose -24*v + 11 = -85. Let g(o) be the second derivative of -2*o + 1/84*o**7 + 0*o**2 + 0*o**3 + 0 + 0*o**v - 1/40*o**5 + 0*o**6. Factor g(x).
x**3*(x - 1)*(x + 1)/2
Let r = 19/584 + 2/219. Let n(w) be the first derivative of -1/5*w**5 - 5 + 0*w - 3/8*w**4 - 1/3*w**3 - 1/8*w**2 - r*w**6. Factor n(y).
-y*(y + 1)**4/4
Factor 968/9*k**2 + 0*k + 2/9*k**4 + 0 - 88/9*k**3.
2*k**2*(k - 22)**2/9
Let c be (4/6)/(4/18). Let t be (c/6)/((-3)/(-66)). Factor t - 4 - 11 + m**2.
(m - 2)*(m + 2)
Let s(c) be the first derivative of 1 - 3/8*c**4 + 0*c**3 + 0*c + 0*c**2 + 3/10*c**5. Factor s(k).
3*k**3*(k - 1)/2
Let i be (2538/16 - -6)*4/(-18). Let l = 112/3 + i. Suppose 0 - l*u**2 + 3*u = 0. What is u?
0, 4
Let i(u) = 6*u**5 - 3*u**4 - 60*u**3 - 69*u**2. Let d(v) = -5*v**5 + 4*v**4 + 60*v**3 + 70*v**2. Let p(b) = -3*d(b) - 2*i(b). Let p(x) = 0. What is x?
-2, 0, 6
Let b(f) be the third derivative of -f**5/600 + 5*f**4/24 - 125*f**3/12 - 7*f**2. Let b(n) = 0. Calculate n.
25
Let o(b) = -2*b + 24. Let x be o(7). Let s be (62/x - 4) + -2. What is k in 0 + 1/5*k**2 - s*k = 0?
0, 1
Let l(u) = 4*u**3 - 6*u**2 + 5*u + 5. Let t(m) = -3*m**3 + 5*m**2 - 4*m - 4. Suppose -6*r = 2*r + 40. Let h(j) = r*t(j) - 4*l(j). Let h(g) = 0. Calculate g.
-1, 0
Factor 9/5 - 12/5*b**2 - 3/5*b.
-3*(b + 1)*(4*b - 3)/5
Let x(r) be the third derivative of -31/70*r**7 + 3/56*r**8 + 16*r**2 + 0*r - 51/20*r**5 - r**3 + 59/40*r**6 + 19/8*r**4 + 0. Factor x(y).
3*(y - 2)*(y - 1)**3*(6*y - 1)
Let l = -3 - -7. Factor -l*f**2 + 3*f**2 + f**2 - 3*f**2.
-3*f**2
Let p(f) be the third derivative of f**7/11340 - f**6/3240 - f**5/270 - f**4/4 + 7*f**2. Let w(r) be the second derivative of p(r). Find b, given that w(b) = 0.
-1, 2
Let t be 2 + 8/2 + 1. Solve -3*x**2 + 19 + t*x**2 - 28*x + 5 = 0 for x.
1, 6
Suppose 16*m + 2/7*m**2 + 224 = 0. What is m?
-28
Let o(d) be the third derivative of -9*d**6/160 + 51*d**5/80 + 5*d**4/2 + 7*d**3/2 - 315*d**2. Let o(v) = 0. What is v?
-2/3, 7
Let v(y) be the first derivative of 4/3*y**3 + 4 + 3*y**2 - 5*y. Let p(r) = -5*r**2 - 7*r + 6. Let s(h) = 5*p(h) + 6*v(h). Factor s(l).
-l*(l - 1)
Suppose 0 = 4*t - p - 10, 10*t - 8*t + 4*p = 32. Factor -2*n**2 + 0*n - n**t + 1/3 - 8/3*n**3.
-(n + 1)**3*(3*n - 1)/3
Let d = -3/68 + 157/476. Let w(a) be the first derivative of -5 - 2/7*a - 2/21*a**3 - d*a**2. Suppose w(k) = 0. Calculate k.
-1
What is r in 30/11*r**2 - 36/11*r + 2/11*r**3 - 64/11 = 0?
-16, -1, 2
Let s(r) be the first derivative of -r**4/4 + 4*r**3 - 17*r**2/2 - 30*r - 9. Let s(d) = 