33 - 4*u**3 + 4*u**3 + d - 12*u**2 + 3*u.
-3*(u - 1)*(u + 1)*(u + 4)
Let r(g) be the third derivative of g**7/735 + 3*g**6/140 + 11*g**5/105 - 32*g**3/21 + 3*g**2 - 17. Factor r(j).
2*(j - 1)*(j + 2)*(j + 4)**2/7
Find y such that 1/4*y**2 + 87/2*y + 7569/4 = 0.
-87
Solve -195/2*a - 99 + 3/2*a**2 = 0.
-1, 66
Let d(j) be the second derivative of 0 + 22*j - 5/48*j**4 + 1/24*j**6 - 1/6*j**3 + 1/168*j**7 + 3/80*j**5 + 0*j**2. Factor d(x).
x*(x - 1)*(x + 1)**2*(x + 4)/4
Suppose 2*m + 6 = 5*q - 2*m, -3*q + 10 = 4*m. Suppose -5*h = 3*h - 24. Determine i, given that 2*i**2 - 5*i**4 - 9*i**4 + 9*i**h + 5*i**5 - 4*i**q + 2*i**4 = 0.
0, 2/5, 1
Let a(d) be the second derivative of d**6/6 + 21*d**5/4 + 245*d**4/4 + 1715*d**3/6 + 88*d. Solve a(w) = 0 for w.
-7, 0
Let d(o) = 42*o**2 + 153*o + 303. Let z(h) = 5*h**2 + 19*h + 38. Let l(g) = -4*d(g) + 33*z(g). Suppose l(a) = 0. What is a?
-2, 7
Let h(y) be the first derivative of y**5/30 - 11*y**4/6 + 121*y**3/3 - 12*y**2 + 25. Let v(i) be the second derivative of h(i). Determine l so that v(l) = 0.
11
Let k be (36/(-12))/(1/(-1)). Let v(f) = k + 0*f**2 - 2*f + 4*f**3 + 6*f**2 - 5*f**3 + 0*f. Let a(q) = -q**2 - 1. Let c(x) = 3*a(x) + v(x). Solve c(g) = 0.
0, 1, 2
Let v(r) be the second derivative of -r**5/24 + 11*r**4/24 + 3*r**3/2 + 4*r**2/3 + 364*r. Determine n so that v(n) = 0.
-1, -2/5, 8
Let c(p) be the second derivative of -p**9/756 + 2*p**7/105 - 3*p**3 + 25*p. Let b(i) be the second derivative of c(i). Factor b(f).
-4*f**3*(f - 2)*(f + 2)
Factor -21/5*r**3 + 294/5 + 60*r**2 - 1113/5*r.
-3*(r - 7)**2*(7*r - 2)/5
Let b(q) = -2*q + 25. Let z be b(11). Let d(j) be the second derivative of 2*j - 2/3*j**4 + 1/10*j**5 - 2*j**2 + 5/3*j**z + 0. Factor d(t).
2*(t - 2)*(t - 1)**2
Let l = -397 - -795/2. Determine y, given that -3/2*y + 3/2*y**3 + l*y**4 - 1 + 1/2*y**2 = 0.
-2, -1, 1
Let u = -20 + 22. Let -v**3 + 2*v**3 - v - 2 - 98*v**u + 100*v**2 = 0. Calculate v.
-2, -1, 1
Let f(g) be the third derivative of -g**8/2688 + g**7/1680 + g**6/320 - g**5/96 + g**4/96 + 136*g**2. What is w in f(w) = 0?
-2, 0, 1
Let k(q) be the third derivative of -2*q**7/735 - q**6/14 - 61*q**5/105 - q**4/2 + 28*q**3/3 - q**2 + 44*q. Let k(s) = 0. Calculate s.
-7, -2, 1
Let j(b) be the second derivative of -b**4/36 + 13*b**3/9 + 29*b**2/2 + 375*b. Solve j(n) = 0.
-3, 29
Let u be 1*4/20 - 10/2100*-18. Find q, given that -u - 4/7*q - 2/7*q**2 = 0.
-1
Let z(g) be the second derivative of -1/14*g**5 + 0 + 0*g**2 + 5/21*g**3 - 1/105*g**6 - 6*g + 1/42*g**4. Solve z(f) = 0 for f.
-5, -1, 0, 1
Let k(m) be the third derivative of 0 + 45*m**2 - 1/280*m**7 + 0*m + 0*m**6 - 1/1344*m**8 + 0*m**4 + 0*m**3 + 0*m**5. Let k(b) = 0. What is b?
-3, 0
Let x(l) = 5*l**3 - 8*l**2 + 3*l. Let f(a) = 12*a**3 - 16*a**2 + 7*a. Let j(i) = -6*f(i) + 14*x(i). What is z in j(z) = 0?
-8, 0
Let g(k) be the third derivative of k**8/25200 - k**7/900 + k**5/60 + k**4/6 + 35*k**2. Let h(q) be the third derivative of g(q). Factor h(x).
4*x*(x - 7)/5
Let x = 870 + -865. Solve -12/5*z**3 + 0 + 0*z - 8/5*z**2 + 4/5*z**x + 0*z**4 = 0.
-1, 0, 2
Factor 0*w + 32/5*w**2 + 0 - 2/5*w**3.
-2*w**2*(w - 16)/5
Let q = 34 + -31. Suppose -d = -7*d - q*d. Factor 0 - 8*w**4 - 10*w**5 + 0*w**2 - 8/5*w**3 + d*w.
-2*w**3*(5*w + 2)**2/5
Let p(f) be the second derivative of -145/66*f**4 - 1/231*f**7 - 40/11*f**3 + 14*f - 15/22*f**5 + 0 - 36/11*f**2 - 1/11*f**6. Factor p(l).
-2*(l + 1)**3*(l + 6)**2/11
Suppose -l = 2*l - h - 20, -3*h - 28 = -5*l. Let 5*i**2 + 34*i - 42 + 34*i - 23*i - l = 0. What is i?
-10, 1
Let d(z) = -z**3 - 17*z**2 - z - 15. Let t be d(-17). Solve -3*w**3 + 0*w**3 - 5*w**5 + 2*w**3 + 6*w**3 + 5*w**4 - 5*w**t = 0.
-1, 0, 1
Let k(d) be the third derivative of 1/40*d**6 + 0*d**3 + 0 + 9/8*d**4 - 3/10*d**5 - 9*d**2 + 0*d. What is y in k(y) = 0?
0, 3
Let m(f) = 4*f**4 - 12*f**3 + 12*f**2 - f. Let r(q) = 8*q**4 - 24*q**3 + 24*q**2 - q. Let g(u) = -7*m(u) + 3*r(u). Solve g(h) = 0.
0, 1
Let z(y) be the first derivative of y**4 + 16*y**3 + 96*y**2 + 256*y + 49. Suppose z(q) = 0. Calculate q.
-4
Let f(x) = -2*x + 61. Let v be f(23). Factor -18*m**3 + v*m**4 - 13*m**2 - 3*m**5 - 8*m**2 + 9*m**2 + 24*m.
-3*m*(m - 2)**3*(m + 1)
Let b be (2 + 88/(-32))*(4 + (-8 - -2)). Determine s so that b*s + 3/8*s**2 - 15/8 = 0.
-5, 1
Let m = -426 + 430. Factor -3/4*b**m + 0 + 0*b**3 + 0*b + 3/4*b**2.
-3*b**2*(b - 1)*(b + 1)/4
Let q(v) be the third derivative of 0*v + 1/280*v**6 - 3/140*v**5 + 0 - 13*v**2 + 1/28*v**4 + 0*v**3. Find l, given that q(l) = 0.
0, 1, 2
Let n(p) = p**3 + 5*p**2 + p + 5. Let b be n(-5). Suppose b = -11*t + 9*t + 6. Factor -57/5*j**t - 48/5*j - 12/5 - 3/5*j**5 - 21/5*j**4 - 15*j**2.
-3*(j + 1)**3*(j + 2)**2/5
Let x(u) be the first derivative of -2*u**3/21 + u**2 - 12*u/7 + 9. Suppose x(w) = 0. What is w?
1, 6
Let z = 83/7 - 71/7. Factor -10/7 + z*i - 2/7*i**2.
-2*(i - 5)*(i - 1)/7
Let u(h) be the first derivative of -h**3 + 48*h + 275. Solve u(y) = 0 for y.
-4, 4
Let n(s) be the first derivative of -7/18*s**4 - 4/9*s**3 + 4/3*s**2 - 5*s - 1/15*s**5 + 5. Let f(k) be the first derivative of n(k). Factor f(x).
-2*(x + 2)**2*(2*x - 1)/3
Let l be (-1)/(10/2 + 2 + -2). Let t = l + 2/5. Factor 0 - 1/5*s + 2/5*s**2 - t*s**3.
-s*(s - 1)**2/5
Let b(a) = -4*a + 5. Let o be b(0). Let y(g) be the first derivative of 2/3*g**3 + o + 0*g - g**2. Solve y(p) = 0.
0, 1
Let m = -65/63 + 209/63. Solve -8/7*d + 2*d**4 + 6/7*d**3 + 0 - m*d**2 + 4/7*d**5 = 0.
-2, -1/2, 0, 1
Let i(z) = -z**3 - z**2 + 3*z + 2. Let s be i(-3). Let c(v) = -2*v**2 + 23*v - 9. Let n be c(s). Factor -8*q**2 - 2*q - 2*q + 3*q**n - 4*q**3 - 3*q**2.
-4*q*(q + 1)**2
Let t(l) be the second derivative of -9*l**4/14 + l**3 + 6*l**2/7 - 259*l. Factor t(f).
-6*(f - 1)*(9*f + 2)/7
Let a(q) be the second derivative of q**6/285 + q**5/190 - q**4/57 - 2*q - 25. Factor a(y).
2*y**2*(y - 1)*(y + 2)/19
Suppose -1/5*l**2 - 10*l - 125 = 0. What is l?
-25
Let v(l) = 9*l + 18. Let o(z) = -4*z - 9. Let c(d) = -5*o(d) - 2*v(d). Let j be c(-3). Factor 10*g**3 - 9*g**3 + j*g**2 - 4*g**2.
g**2*(g - 1)
Factor 81/2*a + 21 - 3/2*a**3 + 18*a**2.
-3*(a - 14)*(a + 1)**2/2
Find b, given that 1/3*b**5 - 2/3*b**3 + 50/3*b**2 - 25/3 + 1/3*b - 25/3*b**4 = 0.
-1, 1, 25
Let p(q) be the third derivative of q**7/1260 - q**6/20 + 27*q**5/20 + 7*q**4/12 + 10*q**2. Let s(y) be the second derivative of p(y). Solve s(d) = 0 for d.
9
Determine s so that 0 - 3/10*s**2 + 0*s - 1/2*s**4 + 1/10*s**5 + 7/10*s**3 = 0.
0, 1, 3
Let t = 2 - -2. Suppose -10 = -4*r - r, t*p + r = 18. Find u, given that 32*u**4 + 21*u**3 + 0*u**3 - 5*u**p - 6*u**2 = 0.
-1, 0, 2/9
Let i(d) be the second derivative of -d**5/20 + d**4/4 + 5*d**3/6 - d**2/2 + 4*d. Let t be i(4). Find s such that -7*s**2 - 18*s - 27 + t*s**2 + s**2 = 0.
-3
Let k be 2/(-8) + (-1)/(-2). Let y = 3713/36 - 926/9. Solve y*j**3 - 1/4*j + k - 1/4*j**2 = 0 for j.
-1, 1
Find f, given that -33/2*f**2 - 3/2*f**3 - 48*f - 42 = 0.
-7, -2
Let f(b) be the first derivative of -9*b**8/1120 + b**7/28 - 13*b**6/240 + b**5/40 - 20*b**3/3 - 5. Let q(d) be the third derivative of f(d). Factor q(m).
-3*m*(m - 1)**2*(9*m - 2)/2
Let i = -432 + 435. Let 3/7*m**4 + 24/7*m**2 - 15/7*m**i - 12/7*m + 0 = 0. What is m?
0, 1, 2
Let y(j) = -j + 3. Let f(b) = 3*b**2 + 402*b + 13890. Let a(l) = f(l) - 6*y(l). Factor a(t).
3*(t + 68)**2
Let x(h) be the second derivative of h**6/120 - h**5/40 - h**4/16 + h**3/3 - h**2/2 - 562*h. Factor x(b).
(b - 2)*(b - 1)**2*(b + 2)/4
Let v be ((-27)/567)/((-16)/28). Let l(n) be the first derivative of 0*n**2 + 0*n**4 + 6 + 1/20*n**5 - v*n**3 + 0*n. Solve l(m) = 0 for m.
-1, 0, 1
Let n(x) be the first derivative of -x**6/57 - 2*x**5/95 + x**4/19 + 4*x**3/57 - x**2/19 - 2*x/19 - 220. Factor n(b).
-2*(b - 1)**2*(b + 1)**3/19
Let m be ((-6)/8)/((-31)/124). Let r(i) be the second derivative of 0*i**2 + 3*i + 0*i**m - 1/36*i**4 + 0. Factor r(f).
-f**2/3
Let k(f) be the third derivative of f**6/120 + f**5/15 - f**4/24 - f**3/3 + 4*f**2. Let p be k(-4). Factor -1/2*x + 1/2*x**p - 1.
(x - 2)*(x + 1)/2
Factor n**2 + 24*n + 54 - 17*n - 2*n**2 - 4*n.
-(n - 9)*(n + 6)
Let a = 32933 + -230527/7. Factor -a*d**2 - 8/7 + 12/7*d**4 + 2/7*d**5 + 16/7*d**3 - 18/7*d.
2*(d - 1)*(d + 1)**3*(d + 4)/7
Let y(w) be the third derivative of -w**8