e the second derivative of -3/2*x**f + 0 - 2*x - 1/4*x**4 + x**3. Factor a(p).
-3*(p - 1)**2
Let u = -8 - -2. Let k = u - -11. Factor q**3 - k*q**4 + 2*q**3 + 2*q**4.
-3*q**3*(q - 1)
Let d be (0 - -2 - -1) + 0. Factor -11*m**4 - 4*m**4 - 4*m**2 - 12*m**3 + d*m**4 - 4*m**5.
-4*m**2*(m + 1)**3
Let o(a) be the first derivative of -3*a**2 + 13 - 18*a - 1/2*a**4 + 10/3*a**3. Suppose o(k) = 0. Calculate k.
-1, 3
Let o(n) = -n**2 + 48*n - 552. Let p(z) = -4. Let i(u) = -o(u) - 6*p(u). Factor i(t).
(t - 24)**2
Suppose 15 = 8*c - 3*c - 5*p, 3*c + 5*p + 15 = 0. Suppose m - 3 - 1 = c. Factor o - 8*o**3 + 3*o**4 - 4 + o**m + 7*o.
4*(o - 1)**3*(o + 1)
Let y(z) be the first derivative of -z**3/3 + 26*z**2 - 676*z + 36. Find o, given that y(o) = 0.
26
Let h(r) = r**3 + 3*r**3 - r + 1 - 3*r**3 + r**2. Let s be h(1). Solve 6*i + 16*i**2 - 5*i**2 + i**2 + 4*i**3 + s*i = 0 for i.
-2, -1, 0
Let x(f) be the third derivative of -f**8/224 - 3*f**7/140 + f**6/80 + 7*f**5/40 - f**3 - 562*f**2. What is j in x(j) = 0?
-2, -1, 1
Suppose 0 = 4*i - 0*i + 4, -c = -2*i + 70. Let f = c + 72. Factor 0 - 1/4*n**5 + f*n**2 - 1/4*n**3 + 1/2*n**4 + 0*n.
-n**3*(n - 1)**2/4
Let f(d) be the second derivative of -1/120*d**6 + 1/10*d**5 - 1/2*d**4 + 4/3*d**3 + 0 - 2*d**2 + 5*d. Factor f(b).
-(b - 2)**4/4
Let l = -10 + 14. Let a be 1/(-4) - (-17)/l. Find i, given that 2 - 4*i - 2*i**2 + 4*i**2 + 4*i - a*i = 0.
1
Let m(f) be the third derivative of 0*f - 1/150*f**5 + 0 + 8*f**2 + 1/60*f**4 + 0*f**3 - 1/400*f**6. Let m(q) = 0. Calculate q.
-2, 0, 2/3
Let f(h) be the third derivative of 0 + 160/3*h**3 + 0*h - 1/24*h**6 - 10*h**4 + 9*h**2 + h**5. Find j, given that f(j) = 0.
4
Let n = 3 - 3. Let h be 2/7 - 590/(-140). Let -6*w**3 + n - h*w**2 + 3/2*w = 0. Calculate w.
-1, 0, 1/4
Let i(p) be the third derivative of 5*p**8/168 + 13*p**7/315 - 31*p**6/90 - 26*p**5/45 + 2*p**4/9 - 132*p**2. Determine b so that i(b) = 0.
-2, -1, 0, 2/15, 2
Suppose -2*l = -4*l + 8. Factor 3*d - 5*d**3 + 3*d - 11*d + 9*d**l + 3*d + 7*d**5 - 9*d**2.
d*(d - 1)*(d + 1)**2*(7*d + 2)
Let w(b) be the third derivative of b**8/140 + b**7/630 - b**6/20 + b**5/15 + b**4/12 + 10*b**2. Let j(y) be the second derivative of w(y). Factor j(h).
4*(h + 1)*(3*h - 2)*(4*h - 1)
Let r be ((-9)/(-12)*-2)/(12/(-32)). Factor 26*w**2 + 4*w + 6*w**2 - r*w - 4*w**3.
-4*w**2*(w - 8)
Let c(i) be the first derivative of 3*i**6/2 - 3*i**5/5 - 27*i**4/4 - 3*i**3 + 3*i**2 + 22. Determine o, given that c(o) = 0.
-1, 0, 1/3, 2
Let p(c) be the second derivative of 289*c**5/150 + 17*c**4/18 - 253*c**3/45 - 121*c**2/15 - 687*c. Let p(u) = 0. What is u?
-11/17, 1
Let k(n) be the third derivative of n**5/45 + 13*n**4/18 - 2*n**2 + 156*n. What is d in k(d) = 0?
-13, 0
Let q(l) be the second derivative of l - 18 + 1/165*l**6 - 1/11*l**3 - 5/66*l**4 - 1/110*l**5 + 0*l**2. Find p such that q(p) = 0.
-1, 0, 3
Let u(y) = -3*y - 5. Let d be u(-1). Let g be (0 - -4)/(d/(-1)). Factor 3/5*b + 0 - 3/5*b**g.
-3*b*(b - 1)/5
What is l in 96*l + 109*l + 2*l**2 + 0*l**2 - 3*l**2 - 51*l = 0?
0, 154
Let l(w) = 12*w**2 - 46*w + 32. Let g(k) = 14*k**2 - 48*k + 31. Let h(i) = -4*g(i) + 3*l(i). Factor h(f).
-2*(f - 2)*(10*f - 7)
Let -8 - 2 - 119*n - 15*n**2 + 9*n + 33*n = 0. Calculate n.
-5, -2/15
Suppose 0 = 3*i - 6*n + n + 6, 2*n - 21 = -5*i. Factor -18/5*b**4 + 22/5*b**2 + 0 + 4/5*b + 24/5*b**i.
-2*b*(b - 2)*(3*b + 1)**2/5
Let p(r) be the first derivative of 1/4*r**2 + 0*r + 1/16*r**4 + 10 - 1/4*r**3. Factor p(n).
n*(n - 2)*(n - 1)/4
Find c such that 2/7*c**3 + 6/7*c + 8/7*c**2 + 0 = 0.
-3, -1, 0
Suppose 2*g - 1 - 3 = 0. Find s, given that g*s - 12*s**2 + 4*s + 14*s**2 = 0.
-3, 0
Let w = -117 - -117. Suppose s - 1 = 3*r - 2*r, w = -3*r + 4*s - 4. Solve r - 1/5*j**2 - 1/5*j**4 + 0*j + 2/5*j**3 = 0 for j.
0, 1
Let d be 4/(-30)*(-11 + (-1996)/(-128)). Let r = 3/16 - d. Determine o so that r*o**3 + 0 + 8/5*o - 12/5*o**2 = 0.
0, 1, 2
Factor -296/7*a**2 - 1152/7 - 2/7*a**4 + 40/7*a**3 + 960/7*a.
-2*(a - 6)**2*(a - 4)**2/7
Let y(f) be the second derivative of -4/15*f**3 + 0 - 1/30*f**4 - 4/5*f**2 + 10*f. Let y(t) = 0. Calculate t.
-2
Suppose 0 = u - 2 - 3, -3*d + 3*u - 750 = 0. Let p be 0 + 1 + (-9 - d/15). Find t such that 10/3*t - p - 1/3*t**2 = 0.
5
Let l(o) = 35*o**4 - 284*o**3 + 529*o**2 - 343*o + 57. Let u(d) = -245*d**4 + 1990*d**3 - 3705*d**2 + 2400*d - 400. Let v(b) = -20*l(b) - 3*u(b). Factor v(x).
5*(x - 6)*(x - 1)**2*(7*x - 2)
Let m = -13032/5 + 2616. Let -m*x**2 + 0 + 72/5*x**3 - 32/5*x - 4*x**4 = 0. What is x?
-2/5, 0, 2
Let f(o) be the third derivative of -o**9/393120 - o**8/43680 - 7*o**5/30 + 6*o**2. Let a(v) be the third derivative of f(v). Solve a(k) = 0.
-3, 0
Let q(p) be the second derivative of 9*p**5/20 - 23*p**4/4 - 35*p**3/2 - 27*p**2/2 + 17*p. What is i in q(i) = 0?
-1, -1/3, 9
Let n(y) be the second derivative of y**9/83160 - y**8/18480 + y**7/13860 + y**4/6 - 5*y. Let w(x) be the third derivative of n(x). Find t such that w(t) = 0.
0, 1
Let d(p) = -p**3 - 2*p + 2. Let r(j) = 3*j**3 - 18*j**2 - 3*j - 12. Let a(b) = -6*d(b) - r(b). Let a(h) = 0. Calculate h.
-5, -1, 0
Suppose -96*h**4 - 21*h**3 + 252*h + 56*h**4 - 20*h**2 + 5*h**5 - 144*h**3 - 32*h = 0. Calculate h.
-2, 0, 1, 11
Let c be (-2125)/(-935) - 3/11. Factor 0*o**c + 0 - 6/7*o**3 + 23/7*o**4 + 0*o - o**5.
-o**3*(o - 3)*(7*o - 2)/7
Let p(o) be the first derivative of -o**6/2 - 5*o**5/4 - 5*o**4/6 - 30*o - 28. Let r(x) be the first derivative of p(x). Let r(t) = 0. What is t?
-1, -2/3, 0
Let f(c) = c**5 - c**4 + c**2 - 1. Let h = -48 + 47. Let z(m) = -2*m**5 + 4*m**4 - m**3 - 4*m**2 + 3. Let n(p) = h*z(p) - 3*f(p). Factor n(o).
-o**2*(o - 1)*(o + 1)**2
Let p be 2 + (-6 - (-288)/40)/(-1). Factor -p + 1/5*r**2 + 0*r.
(r - 2)*(r + 2)/5
Suppose -52*t = -32*t. Let p(x) be the second derivative of 0*x**5 + 1/27*x**4 - 1/135*x**6 + t - 10*x - 1/9*x**2 + 0*x**3. Find a, given that p(a) = 0.
-1, 1
Factor 0 - 1/2*h**2 + 2*h.
-h*(h - 4)/2
Let p = -1012 - -1013. Let m(o) be the first derivative of 2*o**3 + 3*o**2 + 1/2*o**4 + 2*o + p. Solve m(c) = 0.
-1
Factor 0 + 126*r**2 + 200/3*r**4 + 18*r + 240*r**3.
2*r*(r + 3)*(10*r + 3)**2/3
Let x(t) be the second derivative of 9*t**5/80 + 41*t**4/8 + 105*t**3/8 + 39*t**2/4 - 30*t - 1. Let x(s) = 0. Calculate s.
-26, -1, -1/3
Suppose -55 - 23 = -39*p. Solve 3/5*u**3 + 0 + 3/5*u**p - 6/5*u = 0 for u.
-2, 0, 1
Factor 2738/7*j**3 + 8/7*j - 296/7*j**2 + 0.
2*j*(37*j - 2)**2/7
Find j, given that 216/5 + 36/5*j - 6*j**2 + 3/5*j**3 = 0.
-2, 6
Let a(j) be the first derivative of j**4/8 - 53*j**3/6 + 50*j**2 - 98*j - 52. Factor a(w).
(w - 49)*(w - 2)**2/2
Let o(d) = -d**2 - d + 4. Let g(j) = -165*j**2 + 156*j + 27. Let i(m) = -g(m) + 9*o(m). Solve i(s) = 0 for s.
3/52, 1
Factor 17/4*j + 3 - 5/4*j**3 + 1/4*j**4 - 1/4*j**2.
(j - 4)*(j - 3)*(j + 1)**2/4
Find k such that 4/5*k**2 + 5120 + 128*k = 0.
-80
Suppose -n = -3*x - 3, -72*x = -4*n - 75*x + 12. Let 2/3*s**n + 0*s - 44/3*s**4 + 0 + 4/3*s**2 - 14*s**5 = 0. Calculate s.
-1, -1/3, 0, 2/7
Suppose 0 = -2*z + r + 13, 2*r + 12 = -4*z + 58. Let n(i) be the first derivative of -1/2*i - 1/4*i**2 + 1/3*i**3 - z. Factor n(o).
(o - 1)*(2*o + 1)/2
Let r(g) = 4*g**4 + 17*g**3 - g**2 - 12*g - 8. Let t(o) = -2*o**4 - 9*o**3 + o**2 + 6*o + 4. Let i(f) = 3*r(f) + 5*t(f). Factor i(q).
2*(q - 1)*(q + 1)**2*(q + 2)
Let c = 194651/5 - 38930. Let c - 2/5*x + 1/5*x**2 = 0. Calculate x.
1
Suppose -7*m + 4*m**3 + 2*m**4 + 17*m**2 + 7*m - 15*m**2 = 0. What is m?
-1, 0
Let b be -1 - -5 - ((-252)/(-49))/((-3)/(-2)). Factor 2/7*w**5 + 2/7*w**4 + b*w**2 - 12/7*w**3 - 6/7 + 10/7*w.
2*(w - 1)**3*(w + 1)*(w + 3)/7
Let y(a) = -a**4 - a**3 + a**2 + a. Let x(t) = 12*t**5 - 20*t**4 + 8*t**3 - 2*t**2 - 6*t. Let r(p) = -2*x(p) - 12*y(p). Let r(q) = 0. What is q?
-1/3, 0, 1/2, 2
Let d(q) be the second derivative of q**6/10 - 3*q**5/10 - q**4 + q**3 + 9*q**2/2 + 26*q + 1. Factor d(i).
3*(i - 3)*(i - 1)*(i + 1)**2
Let r(y) be the first derivative of 6*y + 1/3*y**3 - 11 - 5/2*y**2. Solve r(d) = 0.
2, 3
Suppose -2*t - 9*t + 55 = 0. Let j be 6 - (15/t - -1). Factor -8/9*q + 2/3*q**4 + 22/9*q**3 + 0 + 16/9*q**j.
2*q*(q + 2)**2*(3*q - 1)/9
Let c(o) be the second derivative of -2*o**6/15 + 13*o**5/5 - 10*o**4 - 8*o**3/3 + 80*o**2 + 10*o - 3. Factor c(s).
-4*(s - 10)*(s