erivative of -5*n**7/42 - n**6/6 + n**5/2 + 2*n. Solve t(u) = 0 for u.
-2, 0, 1
Suppose 9*v - 3 + 3 - 191*v**2 + 194*v**2 = 0. What is v?
-3, 0
Let v(k) = k + 13. Let q be v(-8). Let s(h) = -h + 5. Let a be s(q). Factor -4*p + p**2 + a*p + p**2 + 2.
2*(p - 1)**2
Let j(k) be the first derivative of k**7/630 - k**5/180 + 3*k**2 + 5. Let d(y) be the second derivative of j(y). Suppose d(x) = 0. What is x?
-1, 0, 1
Let c(q) be the second derivative of q**7/252 - q**5/20 + q**4/9 - q**3/12 + 2*q + 5. Factor c(o).
o*(o - 1)**3*(o + 3)/6
Let l = 3 + -1. Suppose 0 = l*w - 3*w + 2. Determine n so that 4*n**4 - 6*n**3 - 2*n**4 - 2*n + 6*n**w + 0*n**2 = 0.
0, 1
Factor 2/3*c + 1/3*c**2 - 2/3*c**3 - 1/3*c**4 + 0.
-c*(c - 1)*(c + 1)*(c + 2)/3
Let z(d) = d - 6. Let o be z(5). Let x be o + 1 + 4 + -1. Factor -q**4 + 4*q**3 - 5*q**x + 2*q**3 + 2*q**3 - 3*q**2 + q.
-q*(q - 1)**3
Let c(m) be the first derivative of -m**2 + 0*m + 4/3*m**3 - 7. Determine q so that c(q) = 0.
0, 1/2
Let t = 829/615 + -3/205. Factor -4/3*d + 8/3*d**4 + 0*d**3 + t*d**5 + 0 - 8/3*d**2.
4*d*(d - 1)*(d + 1)**3/3
Suppose -352*z**3 - 11*z**4 + 4*z**5 - 5*z**4 + 368*z**3 = 0. Calculate z.
0, 2
Let y(k) be the third derivative of 0*k + 1/360*k**6 + 0*k**4 - 1/3*k**3 + 0 + 2*k**2 + 0*k**5. Let c(o) be the first derivative of y(o). Factor c(u).
u**2
Let k be (3 + (-75)/20)*(-3)/9. Determine f, given that -k*f**5 - f - 13/4*f**3 - 3*f**2 + 0 - 3/2*f**4 = 0.
-2, -1, 0
Solve 2/13*p**4 - 16/13 + 12/13*p**2 + 10/13*p**3 - 8/13*p = 0.
-2, 1
Factor -8*i**2 - i**3 + 0*i**3 + 1 + 7*i**2 + i.
-(i - 1)*(i + 1)**2
Let k(r) be the third derivative of r**8/4200 - r**7/2100 - r**6/900 + r**5/300 + r**3/3 - r**2. Let z(i) be the first derivative of k(i). Factor z(u).
2*u*(u - 1)**2*(u + 1)/5
Let y = 0 - -7. Suppose 2*g - y*g = -10. Factor 3*d**g + d**3 + 0 - 2*d**3 - 4.
-(d - 2)**2*(d + 1)
Solve -15/4*q**2 + 27/4 + 3/4*q**3 + 9/4*q = 0 for q.
-1, 3
Let z(k) = -7*k**4 - 9*k**3 - 3*k**2 - 7*k - 6. Let p(t) = -15*t**4 - 19*t**3 - 6*t**2 - 15*t - 13. Let c(f) = -6*p(f) + 13*z(f). Let c(a) = 0. Calculate a.
-1, 0
Let s = -1 + 2. Let q = s - -1. What is z in -4 + z**2 - 4*z + z**2 - 3*z**q = 0?
-2
Let p = 50 + -32. Factor -p*a**2 - 8/5 - 48/5*a - 10*a**3.
-2*(a + 1)*(5*a + 2)**2/5
Let i = 604/1485 - 2/297. Let s(m) be the second derivative of -1/30*m**4 - 1/5*m**3 + 0 - i*m**2 + m. Factor s(q).
-2*(q + 1)*(q + 2)/5
Factor -4*r**3 + 3*r**3 - 2*r**3.
-3*r**3
Let v(j) = -j + 1. Let a(n) = -6*n**2 + 5*n + 1. Let z(h) = -a(h) + 3*v(h). Factor z(r).
2*(r - 1)*(3*r - 1)
Let o(w) be the first derivative of -1/14*w**4 + 0*w**3 + 0*w + 1 + 0*w**2. Solve o(x) = 0.
0
Let r(d) = -4*d**4 - 16*d**3 + 28*d**2 + 40*d - 40. Let z(k) = 3*k**4 + 11*k**3 - 19*k**2 - 27*k + 27. Let u(y) = 5*r(y) + 8*z(y). Let u(o) = 0. What is o?
-2, 1
Determine u so that 7/4*u**2 - 1/2*u - u**3 - 1/4 = 0.
-1/4, 1
Let t(z) = 2*z**3 - 8*z**2 - 6*z. Let r(s) = -2*s**3 + 7*s**2 + 5*s - 1. Let g(d) = 4*r(d) + 3*t(d). Factor g(x).
-2*(x - 2)*(x - 1)*(x + 1)
Let y = -163 - -352. Let u be (-9)/(y/6)*-1. Solve 0*a + 0*a**2 - u*a**3 + 0 = 0 for a.
0
Factor -8*c**3 - 5*c**2 + c**3 + 2*c**3 + 10*c.
-5*c*(c - 1)*(c + 2)
Solve 2*n**3 - 2*n**3 - 8*n**4 + 9*n**4 = 0.
0
Factor -2/3*j**3 + 0 + 0*j + 2/3*j**4 - 4/3*j**2.
2*j**2*(j - 2)*(j + 1)/3
Let z(g) = g + 11. Let n be z(-9). Determine y so that 12*y - 8 - 3*y**n + 3 - 7 = 0.
2
Let d(j) = -j**3 - 7*j**2 - 3*j + 18. Let t be d(-6). Factor -1/2*v**2 + 0*v + 1/4*v**3 + t.
v**2*(v - 2)/4
Suppose p = 5*h - 19, 0*h - 5*p = -h + 23. Factor 4*q**3 + q**3 - 7*q**h.
-2*q**3
Let n(r) be the second derivative of r**5/4 + 5*r**4/6 + 5*r**3/6 - 2*r. Solve n(w) = 0.
-1, 0
Let t(l) = -l**2 + l - 1. Let a(h) = -3*h**3 - 8*h**2 + 17*h + 7. Let n(s) = a(s) - 5*t(s). Factor n(c).
-3*(c - 2)*(c + 1)*(c + 2)
Factor 1/2*y**5 - 10*y**2 - 19/2*y - 3*y**3 - 3 + y**4.
(y - 3)*(y + 1)**3*(y + 2)/2
Let f(o) be the second derivative of o**10/50400 + o**9/12600 + o**8/11200 - o**4/6 - 2*o. Let q(c) be the third derivative of f(c). Factor q(k).
3*k**3*(k + 1)**2/5
Let w be (26/(-3))/(198/18). Let c = 16/11 + w. Solve -2/9*m**2 + 0*m - 4/9*m**4 - c*m**3 + 0 = 0.
-1, -1/2, 0
Let a(c) = -c**3 - 12*c**2 + 12*c - 11. Let r be a(-13). Factor 1/3*v**4 + 0*v**3 - v**r + 0 + 2/3*v.
v*(v - 1)**2*(v + 2)/3
Let b(l) be the second derivative of -l**6/180 - l**5/120 + 4*l. Factor b(h).
-h**3*(h + 1)/6
Suppose -22 = -3*i + 5*i + 5*v, 3*i - 3*v = 9. Let y = -1 - i. Find q such that -q + 0*q + q**3 + y*q**3 = 0.
-1, 0, 1
Let x(z) = 26*z**2 + 6*z**2 + 19 - 30*z - 13*z**3 - 8*z**2. Let g(l) = -4*l**3 + 8*l**2 - 10*l + 6. Let h(f) = -7*g(f) + 2*x(f). Solve h(r) = 0 for r.
1, 2
Let q(i) be the third derivative of -3*i**2 + 1/30*i**3 + 1/60*i**4 + 0 + 0*i + 1/300*i**5. Let q(n) = 0. Calculate n.
-1
Let y(b) = b**3 - b - 2. Let i be y(2). Let s(f) be the first derivative of 2/3*f + 1/6*f**2 - 7/9*f**3 - 1/2*f**i + 1. Solve s(o) = 0.
-1, -2/3, 1/2
Let v(a) be the first derivative of -a**3/6 + 7*a**2/2 - 49*a/2 + 19. Suppose v(j) = 0. Calculate j.
7
Factor -4*o**3 - 1 - 18*o**2 - 33/4*o.
-(o + 4)*(4*o + 1)**2/4
Let f(d) be the first derivative of 1/2*d**2 - 1/4*d**4 - 3 - 1/10*d**5 + 0*d**3 + 1/2*d. Suppose f(n) = 0. Calculate n.
-1, 1
Find m, given that -18*m**2 - 3*m - 20*m**4 + 8*m**4 - 30*m**3 - 6*m**5 - m - 10*m**4 = 0.
-1, -2/3, 0
Let a(f) = 2*f**4 + 2*f**3 + 2*f**2 - 6*f - 4. Let c be -2*(5/(-2) - -2). Let j(s) = s**3 - s**2 + s + 1. Let w(v) = c*a(v) + 2*j(v). Factor w(n).
2*(n - 1)*(n + 1)**3
Suppose j - 2*j + 6 = 0. Let q be (-9)/3 + 1 + j. Let 2*a**q - 2 + 5*a - a - 3*a**3 - a**3 = 0. Calculate a.
-1, 1
Let h(q) be the first derivative of 0*q - 2 + 0*q**5 + 0*q**4 + 0*q**2 - 1/3*q**3 - 1/180*q**6. Let d(w) be the third derivative of h(w). Factor d(m).
-2*m**2
Suppose 19 + 2 = -t. Let d = 24 + t. Suppose -3/4*u**2 + 3/4*u**4 + 1/4*u**d + 0 - 1/4*u = 0. What is u?
-1, -1/3, 0, 1
Let a(z) be the first derivative of 1/6*z**2 + 3 + 0*z - 1/9*z**3. Factor a(u).
-u*(u - 1)/3
Factor 3/2*y**2 + 1/2*y + 0 + 3/2*y**3 + 1/2*y**4.
y*(y + 1)**3/2
Suppose 3*f + 5*q = -1, -5*f - q = -0*f - 13. Determine n so that -n - 3*n**2 + 3*n**4 + 0*n**5 - 2 + 5*n**f - 4*n**5 + 2 = 0.
-1, -1/4, 0, 1
Let y be 4 + 120/(-9)*(-12)/8. Determine l so that -20/3*l**3 - 36*l - 18 - 2/3*l**4 - y*l**2 = 0.
-3, -1
Solve -28*h**2 - 3*h + 12*h**2 - h**3 + 5*h**2 + 8*h**2 - 1 = 0 for h.
-1
Let q(m) = -m**2 - 1. Let f(h) = 4*h**2 + 2*h + 4. Let v be 54/10 - 4/10. Let a(o) = v*q(o) + f(o). Factor a(c).
-(c - 1)**2
Suppose -2*v + 30 = 3*v. Let r = v - 2. Factor -4*b**4 + 2*b**r - 4*b**5 + 2*b**2 + 2*b**5 + 2*b**3.
-2*b**2*(b - 1)*(b + 1)**2
Let d(o) be the third derivative of o**5/135 + o**4/18 + 4*o**3/27 - 4*o**2. Factor d(g).
4*(g + 1)*(g + 2)/9
Let p(n) = -n**3 + 4*n**2 - 3*n + 4. Suppose 4*j + 35 = 5*g, -4*j - 11 = 9. Let i be p(g). Let 1/3*l**2 + 1/3*l**3 + 0 - 1/3*l**i - 1/3*l = 0. Calculate l.
-1, 0, 1
Let f(i) be the third derivative of i**7/210 + i**6/120 - i**5/60 - i**4/24 + 11*i**2. Factor f(x).
x*(x - 1)*(x + 1)**2
Let a(w) be the second derivative of -w**7/147 - 2*w**6/105 - w**5/70 + w. Factor a(u).
-2*u**3*(u + 1)**2/7
Let u(k) be the second derivative of -k**5/5 + 5*k**4/3 - 16*k**3/3 + 8*k**2 + 8*k. Determine w so that u(w) = 0.
1, 2
Let x(p) be the first derivative of -p**7/126 + p**6/18 - 3*p**5/20 + 7*p**4/36 - p**3/9 + p - 2. Let u(q) be the first derivative of x(q). Factor u(g).
-g*(g - 2)*(g - 1)**3/3
Suppose 0*r**2 + 0*r + 0 - 1/4*r**3 = 0. What is r?
0
Let p(g) be the second derivative of -g**7/21 + g**6/15 + g**5/5 - g**4/3 - g**3/3 + g**2 + 20*g. Let p(j) = 0. Calculate j.
-1, 1
Let m(j) be the second derivative of 2/3*j**3 + 3*j + 0 + 4*j**2 - 1/3*j**4. Factor m(y).
-4*(y - 2)*(y + 1)
Suppose 3*a - 12 = -v, -2*v = -2*a + a - 3. Let j(d) be the first derivative of -1/4*d**4 + 1/2*d**2 + 1 + 1/3*d**v - d. What is r in j(r) = 0?
-1, 1
Let v(q) be the third derivative of -q**7/210 + q**6/24 - 2*q**5/15 + q**4/6 - 18*q**2. Find g, given that v(g) = 0.
0, 1, 2
Let z = -15 - -35. Let j be 6/z*22/33. Solve -1/5*r - j + 1/5*r**2 + 1/5*r**3 = 0.
-1, 1
Factor -5*s**4 + 3285 + 5*s**3 - 3285 + 10*s**2.
-5*s**2*(s - 2)*(s + 1)
Let w be 5 + (-9)/((-108)/(-42)). Factor 0 - 3/2*u**2 - w*u*