**8/336 - 26*m**7/21 + 185*m**6/24 - 133*m**5/6 + 100*m**4/3 - 80*m**3/3 + 31*m**2 - 2*m. What is k in y(k) = 0?
2/5, 1, 4
Let i(l) be the third derivative of -l**7/6 + 10*l**6 - 458*l**5/3 - 840*l**4 + 1080*l**3 + l**2 - 45*l. Find j such that i(j) = 0.
-2, 2/7, 18
Let n(c) be the third derivative of -c**7/3780 - c**6/540 + 11*c**4/24 + 5*c**2. Let u(k) be the second derivative of n(k). Let u(m) = 0. What is m?
-2, 0
Factor -3/8*o**3 + 3*o**2 - 51/8*o + 15/4.
-3*(o - 5)*(o - 2)*(o - 1)/8
Let b(o) be the second derivative of o**6/15 + 13*o**5/50 + 11*o**4/30 + o**3/5 + 18*o - 5. Find g such that b(g) = 0.
-1, -3/5, 0
Let c(y) be the second derivative of -5/9*y**3 + 1/9*y**4 + 0 - y**2 - 6*y. Factor c(x).
2*(x - 3)*(2*x + 1)/3
Let i(p) be the first derivative of -p**3/24 - 11*p**2/2 + 89*p/8 + 348. Solve i(y) = 0 for y.
-89, 1
Let k(g) be the first derivative of -5*g**6/6 - 2*g**5 + 10*g**3/3 + 5*g**2/2 - 759. What is p in k(p) = 0?
-1, 0, 1
Suppose 13*f + 178 - 217 = 0. Let y(w) be the first derivative of 0*w**2 + w - 1 - 1/3*w**f. Factor y(o).
-(o - 1)*(o + 1)
Let y = -12/121 - 2481/605. Let n = 22/5 + y. Solve -2/5*u - n*u**4 + 1/5*u**2 + 3/5*u**3 - 1/5*u**5 + 0 = 0 for u.
-2, -1, 0, 1
Let j(b) = b**3 - 5*b**2 + 7*b - 3. Let k be j(5). Let q = k - 21. Let 12*m - 18*m**2 - 23*m**3 + 1 + 15*m**4 + 2 + q*m**3 = 0. Calculate m.
-1, -1/5, 1
Let l = -39 + 43. Let r be 1 - 9/12 - (-115)/20. Factor 6/7 + r*u**3 + 3/7*u**5 + 18/7*u**l + 48/7*u**2 + 27/7*u.
3*(u + 1)**4*(u + 2)/7
Let h(x) = -x**3 + x**2 - x - 2. Let m(w) = 55*w**3 - 45*w**2 - 410*w - 80. Let s(d) = -20*h(d) - m(d). Solve s(c) = 0.
-3, -2/7, 4
Factor -30 - 3/2*x**2 - 63/2*x.
-3*(x + 1)*(x + 20)/2
Let g(p) = p**3 + 10*p**2 + 7*p - 4*p**2 + 2*p**2. Let x(b) = 8*b**3 + 72*b**2 + 64*b. Let o(t) = 28*g(t) - 3*x(t). Solve o(h) = 0.
-1, 0
Let x = 499952/285 + -5260/3. Let w = x + -13/19. Factor w*j**3 + 4/5*j**2 + j + 2/5.
(j + 1)**2*(j + 2)/5
Let o be ((-4)/6)/(14/(-42)). Find k, given that 2*k**2 + 0*k**3 + 2*k**o - 4 - 4*k**3 - 114*k + 118*k = 0.
-1, 1
Let f(g) be the first derivative of -2*g**5/5 + g**4/2 + 8*g**3/3 - 4*g**2 - 11. Determine s, given that f(s) = 0.
-2, 0, 1, 2
Let p(a) = -a**3 - 5*a**2 + 31*a + 17. Let n(f) = 2*f**2 - 10*f - 6. Let t(q) = 17*n(q) + 6*p(q). Factor t(y).
-2*y*(y - 2)*(3*y + 4)
Let p = 94 - 94. Let c(t) be the third derivative of 0 + 1/30*t**5 + 1/2*t**4 + 3*t**3 + p*t + 11*t**2. Determine z, given that c(z) = 0.
-3
Let l(d) be the first derivative of -3*d**5/5 - 15*d**4/4 - 6*d**3 + 56. Suppose l(f) = 0. Calculate f.
-3, -2, 0
Factor -i - 32 - 33*i + 14886*i**3 - 30*i - 30*i**2 + 2*i**4 - 14882*i**3.
2*(i - 4)*(i + 1)**2*(i + 4)
Let h be 4/(-10)*5/(-3). Suppose -238 = -5*u - 3*k - 183, 0 = -4*k + 20. What is c in -32*c - u*c**2 - 128/3 - h*c**3 = 0?
-4
Let d = -596 - -598. Let o(h) be the first derivative of -3/4*h**d + 0*h + 1/8*h**4 + 5 + 1/3*h**3. Suppose o(p) = 0. What is p?
-3, 0, 1
Let a(q) be the first derivative of -5*q**6/6 + 6*q**5 - 65*q**4/4 + 20*q**3 - 10*q**2 - 178. Solve a(c) = 0.
0, 1, 2
Let a(t) be the second derivative of t**6/210 - 11*t**4/42 - 4*t**3/7 + 45*t**2/14 + 267*t. Let a(c) = 0. What is c?
-3, 1, 5
Let v(u) be the first derivative of -2*u**5/5 - 9*u**4/2 - 58*u**3/3 - 39*u**2 - 36*u + 301. Factor v(w).
-2*(w + 1)*(w + 2)*(w + 3)**2
Suppose s - 4*b = 0, -s = -5*s - 2*b. Let o(w) be the third derivative of s*w**4 + w**2 + 0 + 0*w + 1/420*w**6 + 1/210*w**5 + 0*w**3. Factor o(y).
2*y**2*(y + 1)/7
Let q = 35 + -29. Suppose -q = -4*m + 2. Factor -12 - 30*d - 27*d**m - 21/2*d**3 - 3/2*d**4.
-3*(d + 1)*(d + 2)**3/2
Suppose -532*d = -527*d - 10. Factor 1/5*f**3 - 2/5*f + 0 + 1/5*f**d.
f*(f - 1)*(f + 2)/5
Let d = 2 - 2. Suppose d = 2*l + 2*l + 2*k - 20, -2*k = 2*l - 14. Factor -2*s + 12*s**2 + 0*s**2 - 8*s**l - 2*s.
-4*s*(s - 1)*(2*s - 1)
Suppose -2*s - 4*s + 12 = 0. Find f such that 5*f**4 - 18*f**2 + 9*f**2 + 4*f**s = 0.
-1, 0, 1
Let r(b) = 19*b + 97. Let j be r(-5). Let c(n) be the first derivative of 0*n - 1/12*n**4 + 0*n**j + 1/9*n**3 + 1. Solve c(k) = 0 for k.
0, 1
Suppose -13*a + 21 = -6*a. Factor 5 - 50*q**2 - 10*q**2 - 243*q**3 + 323*q**a.
5*(2*q - 1)**2*(4*q + 1)
Suppose 2*d + 8 = 4*d. Suppose -h + d = -0. Let 3*t**3 - 3*t**3 - t**2 - 3*t**h + 2*t**5 - t**5 + 3*t**3 = 0. Calculate t.
0, 1
Suppose -15 = -p - 2*p. Suppose p*r - 6 = 4. Suppose -9*b**r + 75 - 10*b**2 - 30*b + 22*b**2 = 0. Calculate b.
5
Let -81/2*u**3 + 153/4*u**2 - 11*u + 1 = 0. Calculate u.
2/9, 1/2
Let g(v) = v**5 + 9*v**4 + v**3 - 12*v**2 - 5*v. Let s(u) = -u**5 - u**4 - u**3 + u. Let d(w) = g(w) - 3*s(w). Factor d(j).
4*j*(j - 1)*(j + 1)**2*(j + 2)
Let j(q) be the first derivative of -2/3*q**3 + 19 + 1/2*q**4 - 1/2*q**2 + q + 1/5*q**5 - 1/6*q**6. Factor j(y).
-(y - 1)**3*(y + 1)**2
Let h(g) be the third derivative of g**6/1440 - g**5/72 + g**4/18 - 6*g**2 + 10. Factor h(d).
d*(d - 8)*(d - 2)/12
Let g be 60/(-330) - 15/(-22). Suppose -1 = -4*q + 7. Factor 0 + g*d + 1/2*d**q.
d*(d + 1)/2
Suppose 0 = 2*g - y - 5, 6*y - 2*y + 20 = -g. Let t(o) be the third derivative of g*o - 1/24*o**4 + o**2 - 1/60*o**5 + 1/120*o**6 + 1/6*o**3 + 0. Factor t(q).
(q - 1)**2*(q + 1)
Let j(o) be the first derivative of o**7/1155 - o**6/660 - 4*o**2 - 10. Let d(l) be the second derivative of j(l). Factor d(p).
2*p**3*(p - 1)/11
Let r = 3802 - 3799. Find l, given that -21/2*l - 9/2*l**2 + 3/2*l**4 + 9/2*l**r + 9 = 0.
-3, -2, 1
Suppose -11*k - 7*k = -14*k, 5*k + 6 = 3*n. Factor -d + 0 + 1/3*d**n.
d*(d - 3)/3
Let q = 32 - 30. Factor -20*w + 4*w**2 + 2 - w**q + 13 + 2*w**2.
5*(w - 3)*(w - 1)
Let m(n) = -n**2 - 20*n - 3. Let s(t) = -t**2 - 20*t - 3. Let b(l) = 4*m(l) - 5*s(l). Let g be b(-20). Factor 147/4*x**g + 21*x**2 + 3*x + 0.
3*x*(7*x + 2)**2/4
Factor 1/3*m**3 + 0 + 1/3*m - 2/3*m**2.
m*(m - 1)**2/3
Suppose 32 + 30 = -2*s. Let v = 31 + s. Suppose 0*w**3 - 2/7*w + v + 4/7*w**4 + 2/7*w**5 - 4/7*w**2 = 0. Calculate w.
-1, 0, 1
Let r(i) = 2*i**2 - 6*i. Let m = 44 + -38. Let z(h) = 2*h**2 - 6*h. Let b(s) = -s + 1. Let j be b(6). Let f(t) = j*z(t) + m*r(t). What is l in f(l) = 0?
0, 3
Let b(g) be the second derivative of 2*g**7/21 - 4*g**6/5 + 13*g**5/5 - 4*g**4 + 8*g**3/3 + 97*g. Factor b(d).
4*d*(d - 2)**2*(d - 1)**2
Let k(w) = -w**5 + 25*w**4 - 115*w**3 - 1045*w**2 + 4836*w + 21292. Let b(f) = -f - 1. Let z(s) = 12*b(s) - 3*k(s). Find a such that z(a) = 0.
-4, 11
Let s(q) be the first derivative of -9 + 0*q**3 + 0*q**2 + 0*q + 3/5*q**5 + 3/4*q**4. Factor s(y).
3*y**3*(y + 1)
Let l(n) = -n**2 + 14*n + 17. Let j be l(15). Let w be (18/(-15))/((-9)/30). Factor -j*b**4 - 18*b + w*b**2 + 14*b + 2*b**2.
-2*b*(b - 1)**2*(b + 2)
Let l be (-9)/96*(-36)/81. Let k(q) be the third derivative of 9*q**2 + 1/24*q**6 + 2/15*q**5 - 1/3*q**3 + l*q**4 + 0 + 0*q. Let k(n) = 0. Calculate n.
-1, 2/5
Let -45/7*u**5 + 139/7*u**3 + 8/7 - 188/7*u - 88/7*u**4 + 174/7*u**2 = 0. Calculate u.
-2, 2/45, 1
Let k(f) = -2*f - 6. Let a be k(-4). Factor -8*q**2 + 16*q + q**2 - 16 + 5*q**a - 2*q**2.
-4*(q - 2)**2
Factor 138/5 + 3/5*f**2 + 141/5*f.
3*(f + 1)*(f + 46)/5
Let m = 677 - 1353/2. Let j(o) be the second derivative of 0 - 6/5*o**5 + 10*o - 1/14*o**7 + 0*o**2 - o**4 + 0*o**3 - m*o**6. Factor j(x).
-3*x**2*(x + 1)*(x + 2)**2
Let r = 13/3 + -4. Let n(f) be the second derivative of 0 - 3*f + 0*f**3 + r*f**4 - 2*f**2. Factor n(a).
4*(a - 1)*(a + 1)
Let x(v) be the second derivative of 5*v**4/36 + 10*v**3/9 + 5*v**2/2 - 21*v - 2. Find d, given that x(d) = 0.
-3, -1
Let q(t) be the third derivative of t**7/420 + 13*t**6/480 - t**5/120 - 13*t**4/24 - t**3 + 63*t**2 + 2. Find v such that q(v) = 0.
-6, -2, -1/2, 2
Let o be (282/5)/((-6)/20). Let l = -186 - o. Factor 3/4 + 0*h - 3/4*h**l.
-3*(h - 1)*(h + 1)/4
Let g(z) be the third derivative of -z**7/3360 + z**6/720 + z**5/120 - z**4/12 - 17*z**3/6 + 14*z**2. Let t(p) be the first derivative of g(p). Factor t(l).
-(l - 2)**2*(l + 2)/4
Let t(u) be the third derivative of -u**6/120 - 4*u**5/15 - 85*u**4/24 - 25*u**3 + 187*u**2 - 1. Factor t(s).
-(s + 5)**2*(s + 6)
Let d(t) = 17*t**4 + 9*t**3 - 15*t**2 - 9*t + 8. Let p(f) = -f**4 - 1. Let c be -1 - 1 - (-3 - 4). Let s(q) = c*p(q) + d(q). Factor s(l).
3*(l - 1)*(l + 1)**2*(4*l - 1)
Let b(p) = p**3 + 57*p**2 - 603*p + 2003. Let 