vative of -k**7/42 + k**6/10 - k**4/3 - 2*k - 6. Let p(y) be the first derivative of l(y). What is c in p(c) = 0?
-1, 0, 2
Let g be ((-1)/21)/1*7/(-6). Let o(b) be the third derivative of 0*b + 0*b**3 + 7/360*b**6 - 4/45*b**5 + 0 - 2*b**2 + g*b**4. Factor o(a).
a*(a - 2)*(7*a - 2)/3
Let s(k) be the third derivative of -5*k**8/336 + 2*k**7/21 - k**6/6 - k**5/6 + 25*k**4/24 - 5*k**3/3 + 8*k**2. Solve s(j) = 0.
-1, 1, 2
Let b(n) be the third derivative of 2/3*n**3 + 5*n**2 + 1/30*n**5 - 1/4*n**4 + 0 + 0*n. Factor b(g).
2*(g - 2)*(g - 1)
Let t(n) = n**3 - 2*n**2 + n - 2. Let c = -13 + 15. Let y be t(c). Factor 0 + 2/3*p**3 + y*p + 2/3*p**2.
2*p**2*(p + 1)/3
Let n(p) be the second derivative of 0 + 1/5*p**5 + 8*p + 16*p**3 - 32*p**2 - 3*p**4. Determine r so that n(r) = 0.
1, 4
Factor -3*o**3 + 0*o + 0 - 9/2*o**4 + 3/2*o**2.
-3*o**2*(o + 1)*(3*o - 1)/2
Let p(w) be the second derivative of -4/3*w**3 - 17/30*w**6 + 1/14*w**7 + w - w**4 + 3/2*w**5 + 0 + 0*w**2. Factor p(h).
h*(h - 2)**3*(3*h + 1)
Suppose 4*l - 8*c + 6*c = 10, -2*l + 5*c = -9. Suppose 0 - 1/4*p**l - 1/2*p = 0. What is p?
-2, 0
Factor -4*t + 2*t**2 + 2*t - 2*t + 2*t.
2*t*(t - 1)
Find d such that 2/5 - 2/15*d**2 - 4/15*d = 0.
-3, 1
Let p(s) = 5*s**3 + 4*s**2 + 3*s - 2. Let g(i) = 6*i**3 + 4*i**2 + 4*i - 3. Let f(h) = -2*g(h) + 3*p(h). Factor f(y).
y*(y + 1)*(3*y + 1)
Let p(w) = -w**2 - 5*w - 4. Let h be p(-3). Factor 5*n - n**2 + h*n**2 - 7*n + 1.
(n - 1)**2
Let l = -65/2 - -33. Find a, given that 3*a**3 - 2*a**4 - 2*a**2 + 1/2*a + l*a**5 + 0 = 0.
0, 1
Let y(u) = u**2 - 1. Let d = 9 - 3. Let f(v) be the first derivative of -16*v**3/3 + 3*v**2 + 10*v - 1. Let p(g) = d*y(g) + f(g). Factor p(t).
-2*(t - 1)*(5*t + 2)
Let b(x) be the second derivative of -3*x**6/20 + 13*x**4/24 - x**2 + x. Find l such that b(l) = 0.
-1, -2/3, 2/3, 1
Suppose 2/7*a**3 - 2/7*a**4 + 0 + 2/7*a**2 - 2/7*a = 0. Calculate a.
-1, 0, 1
Let m be (-3945)/(-84) + 2/7. Let j = m - 47. Factor 0 + 1/4*g + j*g**2.
g*(g + 1)/4
Let h(i) be the first derivative of -i**3/3 + 7*i**2/2 - 6*i - 5. Find q, given that h(q) = 0.
1, 6
Factor u - 1/2 - 1/2*u**2.
-(u - 1)**2/2
Let l(m) be the first derivative of -2 + 5/9*m**2 - 4/9*m - 1/6*m**4 + 8/27*m**3. Let l(p) = 0. What is p?
-1, 1/3, 2
Let r(o) be the first derivative of o**3 - 21*o**2/2 + 18*o - 23. Factor r(i).
3*(i - 6)*(i - 1)
Let v(b) be the second derivative of -b**6/60 + b**4/12 + 3*b**2/2 + 2*b. Let l(k) be the first derivative of v(k). Factor l(n).
-2*n*(n - 1)*(n + 1)
Let m(b) be the first derivative of -b**5/20 + b**3/2 - 2*b**2 - 1. Let s(u) be the second derivative of m(u). Factor s(p).
-3*(p - 1)*(p + 1)
Let v(i) be the second derivative of -3*i**6/10 + 3*i**5/10 + 3*i**4/4 - i**3 + 3*i. Factor v(x).
-3*x*(x - 1)*(x + 1)*(3*x - 2)
Let i(y) be the second derivative of -y**5/100 + y**4/30 + y**3/30 - y**2/5 - 7*y. What is r in i(r) = 0?
-1, 1, 2
Let i(r) be the third derivative of 1/60*r**5 + 0 + 3/2*r**3 + 1/4*r**4 + 6*r**2 + 0*r. Factor i(y).
(y + 3)**2
Let z = 293 + -3807/13. Determine r so that z*r**2 + 0*r - 6/13*r**3 - 2/13*r**5 + 6/13*r**4 + 0 = 0.
0, 1
Let x(y) be the third derivative of -y**6/30 - y**5/15 + 5*y**4/6 - 2*y**3 - 4*y**2. Solve x(v) = 0 for v.
-3, 1
Let q(k) be the second derivative of -k**4/6 + 2*k**3/3 - 9*k. Factor q(x).
-2*x*(x - 2)
Suppose 614*d = 612*d + 4. Determine i so that 1/4*i + 1/4*i**3 + 0 + 1/2*i**d = 0.
-1, 0
Suppose -3*p + 3 + 0 = 0. Let c be p/(2 + (-15)/9). Find v, given that 5*v + 1 - 3*v**2 + 4*v**2 - c*v = 0.
-1
Let k(o) be the first derivative of 9/80*o**5 + 1/24*o**4 + 0*o**2 - 2 + o + 7/120*o**6 + 0*o**3. Let r(u) be the first derivative of k(u). Solve r(s) = 0.
-1, -2/7, 0
Suppose -4*o - 3*l - 6 = 0, 2*o = -2*o - l - 2. Factor 1/4*q**2 + o + 0*q.
q**2/4
Suppose -14*h + 3 = -13*h. Suppose -h*z - z = 0. Determine u, given that -2/3 + 2/3*u**2 + z*u = 0.
-1, 1
Let p = -785/3 + 262. Suppose -2/3*d + 0 - p*d**2 = 0. What is d?
-2, 0
Let s(u) = -u**3 + u. Let x(d) = -3*d**2 - 3*d. Let j(c) = -3*s(c) - x(c). Factor j(f).
3*f**2*(f + 1)
Let b(a) be the second derivative of -5*a**4/4 - 95*a**3/12 - 15*a**2/4 + a + 25. Let b(g) = 0. Calculate g.
-3, -1/6
Let i(t) = 5*t**5 + 4*t**4 - t**3 - 4*t**2. Let a(n) = 81*n**5 + 63*n**4 - 15*n**3 - 63*n**2. Let o(j) = -2*a(j) + 33*i(j). Find q such that o(q) = 0.
-2, -1, 0, 1
Let h(z) = -z**2 - 6*z + 19. Let k be 3/(36/(-32))*3. Let w be h(k). Factor 0 - 8/9*q**2 + 2/9*q**w + 8/9*q.
2*q*(q - 2)**2/9
What is g in 6*g**3 + 28*g**2 - 2*g - 22*g**2 + 2*g**4 + 4*g = 0?
-1, 0
Let s(x) be the first derivative of -x**3 - 3*x**2/2 - 22. Solve s(m) = 0.
-1, 0
Let r(l) be the third derivative of l**6/30 - l**5/6 + l**4/12 + 2*l**3/3 + 5*l**2. Factor r(t).
2*(t - 2)*(t - 1)*(2*t + 1)
Let a be 28/6 + (-24)/6. Factor a*j**2 - 4/3*j + 0.
2*j*(j - 2)/3
Suppose 6 + 4 = 2*a. Factor a*i + 3 + 4*i**2 - 7 + i.
2*(i + 2)*(2*i - 1)
Let k(s) = -67*s**2. Let t be k(-1). Let r = -334/5 - t. Solve 1/5*o**3 + r*o + 0 + 2/5*o**2 = 0 for o.
-1, 0
Suppose 5*i + 16 = 3*i. Let g = -5 - i. Let 1/5*a + 4/5*a**g - 4/5*a**2 + 0 = 0. What is a?
0, 1/2
What is p in -1/6*p**2 + 0 - 1/6*p + 1/6*p**3 + 1/6*p**4 = 0?
-1, 0, 1
Let z(n) be the second derivative of n**4/36 + n**3/6 - 2*n**2/3 - 14*n. Suppose z(y) = 0. Calculate y.
-4, 1
Let h(t) be the second derivative of -t**7/13860 - t**6/3960 + t**5/330 - 5*t**4/12 - 5*t. Let g(o) be the third derivative of h(o). Let g(p) = 0. What is p?
-2, 1
Let a = -477/5 - -96. Solve q**3 + 0 - 2/5*q - a*q**2 = 0.
-2/5, 0, 1
Let d = 74 - 70. Factor -16/3*i + d + 4/3*i**2.
4*(i - 3)*(i - 1)/3
Let s(l) = l**3 - 5*l**2 + 5*l - 1. Let d be s(4). Let n(u) be the first derivative of -2 + 2*u**2 + u - 10*u**d + u - 1 - 18*u**4. Solve n(k) = 0 for k.
-1/3, 1/4
Let m be 3 - (4 + -1 + 18). Let a = -13 - m. Find j, given that 0*j**2 - 4/9*j**3 + 2/9*j + 0*j**4 + 0 + 2/9*j**a = 0.
-1, 0, 1
Let q be ((-3 - -6) + -9)*1/(-3). Factor 3/2*c**q + 3*c + 3/2.
3*(c + 1)**2/2
Let 4*o**2 - 8*o**4 + 10*o - 8*o**3 + 14*o**5 - 23*o**5 + 0*o**2 + 4 + 7*o**5 = 0. What is o?
-2, -1, 1
Let y(d) = -5*d**2 - 13*d - 35. Let k(u) = 36*u**2 + 90*u + 246. Let h be -47 - ((-12)/(-4))/(-1). Let n(i) = h*y(i) - 6*k(i). Find r such that n(r) = 0.
-4
Let w(c) be the second derivative of -c**6/30 + 3*c**5/20 - c**4/4 + c**3/6 - 23*c. Determine n, given that w(n) = 0.
0, 1
Let f(w) = -546*w**3 - 885*w**2 - 399*w - 60. Let o(m) = 109*m**3 + 177*m**2 + 80*m + 12. Let k(a) = -4*f(a) - 21*o(a). Factor k(n).
-3*(n + 1)*(5*n + 2)*(7*n + 2)
Suppose -u = -16 + 14. Solve -3/4 - 3/4*j + 3/4*j**u + 3/4*j**3 = 0 for j.
-1, 1
Let i(m) be the first derivative of m**7/840 - m**6/180 + m**5/120 + 4*m**3/3 - 2. Let d(a) be the third derivative of i(a). Factor d(g).
g*(g - 1)**2
Let l(u) be the third derivative of u**6/180 + u**5/48 + u**4/48 - u**3/2 + 5*u**2. Let t(f) be the first derivative of l(f). Factor t(b).
(b + 1)*(4*b + 1)/2
Let d(y) be the second derivative of -y**5/70 - y**4/42 + 26*y. Factor d(w).
-2*w**2*(w + 1)/7
Let i(b) = b**3 - 2*b**2 + b + 1. Let w be i(2). Solve -11*l**3 + 6*l + 2*l**5 - 3*l**2 - l**4 - 4*l**w + 4*l**4 + 7*l**5 = 0.
-1, 0, 2/3, 1
Let r = -151 - -156. Let 8/3*i**2 - 2/3*i + 0 - 4*i**3 + 8/3*i**4 - 2/3*i**r = 0. What is i?
0, 1
Suppose o - 6 = -8. Let c be (0 - o/(-4))*0. Factor c*v - 1/2*v**3 + 1/2*v**4 - v**2 + 0.
v**2*(v - 2)*(v + 1)/2
Let y(h) be the second derivative of h**7/294 + h**6/210 - 6*h. Factor y(b).
b**4*(b + 1)/7
Let n = 15 - 27. Let b be n/16 - 74/(-56). Factor 2/7 + 2/7*o**4 - b*o**2 + 2/7*o + 2/7*o**5 - 4/7*o**3.
2*(o - 1)**2*(o + 1)**3/7
Let j be ((-9)/60)/(2 - 32). Let i(g) be the third derivative of -1/30*g**3 + 3*g**2 + 0*g + 0 - j*g**6 + 1/40*g**4 + 1/300*g**5. Solve i(y) = 0 for y.
-1, 1/3, 1
Let u(c) be the first derivative of 0*c**3 + 4 + 1/2*c**4 - 1/2*c**2 + 0*c**5 + 0*c - 1/6*c**6. Factor u(x).
-x*(x - 1)**2*(x + 1)**2
Let z(n) = -2*n**3 + 3*n**2 + 3*n + 1. Let x = -2 - -8. Let u(j) = -j**3. Let s(f) = x*u(f) - 2*z(f). Find i, given that s(i) = 0.
-1
Let i be 0/(-1 - (-2 - 1)). Suppose 2*s + n - 6 = i, -3*s + 0*n = -n - 14. Determine d, given that 0 - 4*d**4 + 2*d**4 - 2 + s*d**2 = 0.
-1, 1
What is n in -5*n**4 + 5*n**5 + 2*n**4 - 2*n**4 = 0?
0, 1
Factor 36*f**2 + 8*f - 3*f**3 - 16*f**2 + 