**2 = 0.
-1, -1/3, 1
Let u(y) be the second derivative of -y**8/5040 + y**7/630 - y**6/270 - y**4/6 - 16*y. Let o(h) be the third derivative of u(h). Let o(n) = 0. Calculate n.
0, 1, 2
Let j(p) be the second derivative of -41/4*p**5 + 0*p**2 + 0 + 15*p - 10*p**4 - 7/2*p**6 - 10/3*p**3. Determine n so that j(n) = 0.
-1, -2/3, -2/7, 0
Suppose 5*z + 4*r + 1 = 0, -3*z - 4*r + 2*r = -1. Let b(m) = m**2 - m + 3. Let u(s) = -2*s**2 + 2*s - 2. Let h(a) = z*u(a) + 2*b(a). Factor h(d).
-4*d*(d - 1)
Let g(o) be the second derivative of o**4/6 + 36*o**3 + 2916*o**2 - 164*o. Factor g(i).
2*(i + 54)**2
Let i(l) = 7*l**3 - 4*l**2 + 5*l. Let b(p) = -4*p**3 + 2*p**2 - 2*p. Let k(n) = 5*b(n) + 2*i(n). Factor k(j).
-2*j**2*(3*j - 1)
What is l in -4 - 6*l - 685*l**2 + 686*l**2 - 3 = 0?
-1, 7
Let o(y) be the first derivative of 3*y**5/5 - 3*y**4/4 - 15*y**3 - 69*y**2/2 - 30*y + 65. Factor o(w).
3*(w - 5)*(w + 1)**2*(w + 2)
Let s(t) be the first derivative of t**7/168 + t**6/36 + 19*t**3/3 + 26. Let h(d) be the third derivative of s(d). Factor h(y).
5*y**2*(y + 2)
Suppose 0 = 4*l - 4*j - 16, 4*l + 4*j + 2 = l. Let d be 0/((-12)/(-4)) + 1 - -1. Factor 6*u**d + 3*u**3 - u**4 - 2*u**2 - 3*u**l - u - 2*u**3.
-u*(u - 1)**2*(u + 1)
Let k be 1/(4/(-3 + -9)). Let z be k/(-2)*(-8)/(-6). Factor 6*v**3 - v - 3*v**2 + 3 - 2*v + 3*v**4 - 3*v**z + 0*v**5 - 3*v**5.
-3*(v - 1)**3*(v + 1)**2
What is c in -1/3*c**3 + 0 - 48*c + 8*c**2 = 0?
0, 12
Factor 1 - 1/7*s**2 - 6/7*s.
-(s - 1)*(s + 7)/7
Let m = 69 - 47. Factor -5*a**2 + m*a - 25*a**4 - 3*a - 9*a - 40*a**3.
-5*a*(a + 1)**2*(5*a - 2)
Let w be 8*(-16)/(-128) - -2. Let j be 0/(-2) + 2/8. Factor -1/4*p**4 - j*p + 1/4*p**2 + 1/4*p**w + 0.
-p*(p - 1)**2*(p + 1)/4
Solve -100*s**2 + 35*s**3 + 30 + 70*s**2 + 16*s - 51*s = 0.
-1, 6/7, 1
Let g(r) be the first derivative of r**6/12 - 11*r**5/10 + 19*r**4/8 - 3*r**3/2 + 111. Let g(k) = 0. Calculate k.
0, 1, 9
Let 36*o**3 + 15*o**5 + 9*o**5 - 24*o**2 + 54*o**4 - 9*o**5 = 0. Calculate o.
-2, 0, 2/5
Suppose -3*r - 2*g = -53 + 16, g = 2*r - 27. Suppose 155*k**2 + 22 - 29*k - r*k + 2*k**3 - 137*k**2 = 0. Calculate k.
-11, 1
Suppose 3*j + 3*r + 6 = 15, 2*j - 4*r - 6 = 0. Let m be (-18)/(-2 + (-2)/(-4)). Determine u, given that -4*u**j - 7*u**2 + 19*u**2 - m*u - 1 + 5 = 0.
1
Let c = -45435/7 + 6493. Solve -8/7*s + 4/7*s**2 + 2/7*s**3 - c = 0 for s.
-2, 2
Let p be (-6)/36 - (-49)/6. Suppose -4*d + p = -0. Determine q, given that -2*q**d + 5*q**2 - 12 + 12*q**2 - 24*q = 0.
-2/5, 2
Let g(j) = -4*j - 2. Let c be g(-1). Solve -116 + 8*r**c - 10*r**2 - 126 - 44*r = 0 for r.
-11
Let m(x) = -5*x**4 + 14*x**3 + 17*x**2 - 64*x + 40. Let v(g) = -13*g**4 + 29*g**3 + 36*g**2 - 127*g + 80. Let h(l) = 5*m(l) - 2*v(l). Factor h(i).
(i - 1)**2*(i + 4)*(i + 10)
Let x(v) be the second derivative of -v**4/6 - 50*v**3/3 - v + 90. Determine f so that x(f) = 0.
-50, 0
Suppose 3*s = -2*i - 606 + 626, -5*s + 31 = 3*i. Factor -2/3*a - 2/3*a**s + 4/3.
-2*(a - 1)*(a + 2)/3
Let r(d) be the second derivative of d**6/165 + 4*d**5/55 + d**4/11 - 40*d**3/33 + 25*d**2/11 + 492*d. Let r(s) = 0. Calculate s.
-5, 1
Let w(y) be the first derivative of y**4/4 - y**3/15 - 2*y**2 + 4*y/5 + 31. Factor w(m).
(m - 2)*(m + 2)*(5*m - 1)/5
Let o(r) be the first derivative of 37 + 1/9*r**6 - 2/3*r**4 + 0*r**2 + 0*r**3 + 0*r + 2/5*r**5. Factor o(c).
2*c**3*(c - 1)*(c + 4)/3
Let i(l) be the second derivative of 3*l**5/160 - 3*l**4/16 + 3*l**3/16 + 15*l**2/8 - 56*l. Factor i(w).
3*(w - 5)*(w - 2)*(w + 1)/8
Let q(x) be the first derivative of -13*x**3/3 + x**2/2 - 7*x + 2. Let f(c) = -7*c**2 - 3. Let j(n) = -11*f(n) + 6*q(n). Factor j(z).
-(z - 3)**2
Suppose -631*l - 269*l + 1248 = -276*l. Factor 14/3*b**l - 4 - 22/3*b.
2*(b - 2)*(7*b + 3)/3
Let m be 250/375 - (-20)/(-75). What is w in -4/5 - 2/5*w**4 - m*w + 2/5*w**3 + 6/5*w**2 = 0?
-1, 1, 2
Let q be (2/(-45))/((-27432)/(-1960) + -5 + -9). Factor -28/9*x + 2/9*x**2 + q.
2*(x - 7)**2/9
Let a = 61 - 55. Factor -a - 20*u - 2*u**4 + 5*u**3 - 24*u**2 - 5*u**3 - 12*u**3.
-2*(u + 1)**3*(u + 3)
Let y(q) be the third derivative of q**7/70 + 2*q**6/5 + 12*q**5/5 - 383*q**2. Suppose y(k) = 0. Calculate k.
-12, -4, 0
Let v(c) be the second derivative of -c**7/2520 + c**6/240 + c**5/30 - 7*c**4/3 + 35*c. Let m(z) be the third derivative of v(z). Factor m(i).
-(i - 4)*(i + 1)
Suppose 34 = 10*f + 4*f + 3*f. Factor -3/2 - 33/4*u - 27/4*u**f.
-3*(u + 1)*(9*u + 2)/4
Let c be 4/32*18*1. Let x = -1/246 - -373/984. Let -27/8 - x*f**2 + c*f = 0. What is f?
3
Let z(u) be the third derivative of -1/24*u**5 + 0 - 1/240*u**6 - 1/6*u**4 + 0*u - 1/3*u**3 + 16*u**2. What is o in z(o) = 0?
-2, -1
Let x(y) = -y**3 + y**2 + y + 6. Let z be x(-2). Let g(f) be the first derivative of 15*f**2 - 4*f - z*f**3 - 8 + 11/2*f**4. Factor g(o).
2*(o - 1)**2*(11*o - 2)
Solve -9 - 35/4*l + 1/4*l**2 = 0.
-1, 36
Let q(n) = 3*n**3 - 186*n**2 - 549*n - 435. Let y(b) = b**3 - 47*b**2 - 137*b - 109. Let v(s) = -4*q(s) + 15*y(s). Factor v(h).
3*(h + 1)*(h + 5)*(h + 7)
Let q(a) = -a**3 - 2*a**2 + 77*a - 3. Let j be q(-10). Factor -117*c - 327/4*c**2 - j + 195/2*c**3 - 75/4*c**4.
-3*(c - 3)**2*(5*c + 2)**2/4
Let b be -2 + (-1 - -4) + 1. Suppose -3*x - b*y + 9 = 0, 15 - 3 = 4*x - 3*y. Factor 3*o**3 + x + 15 + 2*o**4 - 4*o**2 + 24*o - 11*o**3.
2*(o - 3)**2*(o + 1)**2
Let h(b) be the first derivative of -b**8/840 - b**7/420 + 47*b**3/3 - 46. Let q(l) be the third derivative of h(l). What is r in q(r) = 0?
-1, 0
Let w = -36 - -36. Suppose -r + 3*r - 4 = w. Let -4/3 + 0*g + 1/3*g**r = 0. Calculate g.
-2, 2
Let c(j) be the first derivative of -36 - 1/3*j**3 + 0*j + 1/3*j**2 - 1/6*j**4. Factor c(o).
-o*(o + 2)*(2*o - 1)/3
Let z(d) be the first derivative of 0*d + 7/8*d**4 + 7/2*d**2 + 4 + 7/20*d**5 + d**3 + 1/20*d**6. Let s(l) be the second derivative of z(l). Factor s(w).
3*(w + 1)*(w + 2)*(2*w + 1)
Let q(i) be the second derivative of i**6/600 + i**5/25 + 2*i**4/5 - 7*i**3/2 + 22*i. Let l(j) be the second derivative of q(j). Suppose l(n) = 0. Calculate n.
-4
Let i = -1/371 - 2595/742. Let b = -45/14 - i. Factor 18/7 + b*w**2 + 12/7*w.
2*(w + 3)**2/7
Suppose -4*w - 20 = 0, -5*r - 5*w = 29 - 4. Let y be 4 + 1 - (3 - 0 - r). Determine p, given that -1/6*p**4 - 5/6*p + 1/2*p**y + 1/3 + 1/6*p**3 = 0.
-2, 1
Suppose -8*o + 6 = -10. Factor -4*c**4 + 0*c**4 - 7*c**o + 28*c**3 - 16*c**3 + 23*c**2.
-4*c**2*(c - 4)*(c + 1)
Let u(r) = -5*r**3 + 19*r**2 - 82. Let k(y) = -y**3 + 3*y**2 - 14. Let s(p) = 34*k(p) - 6*u(p). Factor s(c).
-4*(c - 1)*(c + 2)**2
Let g(l) be the third derivative of -l**5/30 + 10*l**4/3 - 400*l**3/3 - 6*l**2 + 8. Factor g(o).
-2*(o - 20)**2
Let c = 29/20 + -7/10. Let y(o) be the first derivative of -4 + 6*o - c*o**4 + 9/2*o**2 + 0*o**3. Determine k, given that y(k) = 0.
-1, 2
Let d(l) = 3*l**2 - 1. Let g be d(-2). Suppose 34*s**5 - 2 - 152*s**2 - 10*s**4 - 49*s**3 + 175*s**2 + 15*s - g*s**4 = 0. Calculate s.
-1, -1/2, 2/17, 1
Suppose 30*z**2 - 3*z**4 - 537 + 537 - 27*z**3 = 0. Calculate z.
-10, 0, 1
Let t(v) be the third derivative of -v**6/8 - 11*v**5/12 - 5*v**4/2 - 10*v**3/3 + 2*v**2 - 42. Determine x, given that t(x) = 0.
-2, -1, -2/3
Let c be ((-1)/7)/((-15)/21). Let j(l) be the first derivative of 0*l**2 - 2 + 0*l - c*l**3 - 3/20*l**4. Solve j(n) = 0 for n.
-1, 0
Suppose -g = -3*p + 9, 6 = 2*g - 6*g + 2*p. Determine f so that g*f - 2/9 + 2/9*f**2 = 0.
-1, 1
Let u(i) be the third derivative of -i**6/180 + i**5/36 - i**4/18 + i**3/18 - 28*i**2 - 2*i. Find l such that u(l) = 0.
1/2, 1
Let o(j) be the third derivative of 0 + 0*j**3 + 22*j**2 - 3/40*j**6 + 1/6*j**5 + 1/60*j**7 - 1/672*j**8 + 0*j - 1/6*j**4. Factor o(x).
-x*(x - 2)**3*(x - 1)/2
Let g(a) = 2*a**3 - 12*a**2 + 2*a - 9. Let o be g(6). Let k(v) be the first derivative of v + v**2 + 1/3*v**o + 9. Factor k(q).
(q + 1)**2
Let z(h) be the first derivative of 2*h**5/5 + 3*h**4/2 - 4*h**2 + 40. Factor z(f).
2*f*(f - 1)*(f + 2)**2
Let d(h) be the second derivative of h**6/480 - h**5/240 - h**4/96 + h**3/24 - 6*h**2 + 5*h. Let s(j) be the first derivative of d(j). Factor s(x).
(x - 1)**2*(x + 1)/4
Let i(z) be the second derivative of -z**7/105 + 3*z**5/50 - z**4/15 + 9*z. Solve i(o) = 0.
-2, 0, 1
Let f = -7 - -9. Let y be (((-18)/(-24))/1)/(3/8). Factor -2 - m**3 - 1 + 0*m - m**f + 3*m +