g) be the second derivative of -1/130*g**5 + 1/13*g**3 + 0*g**2 + 1/39*g**4 + 0 - 15*g. Factor w(k).
-2*k*(k - 3)*(k + 1)/13
Let k be 3 + -5 - (-4 - 0). Suppose 2*b = -4, 0*r - k*b = -2*r + 14. Factor -8*z + 3*z**3 + 12*z**2 - r*z**3 - 2*z**3.
-4*z*(z - 2)*(z - 1)
Suppose -53 = -2*s + f + 7, 5*s - 2*f - 150 = 0. Let i = s - 27. Let -3/2*x**2 - i*x - 3/2 = 0. What is x?
-1
Let z(k) = -15*k**3 + 75*k**2 - 37*k - 120. Let g(w) = -10*w**3 + 50*w**2 - 25*w - 80. Let h(b) = -7*g(b) + 5*z(b). Suppose h(d) = 0. Calculate d.
-1, 2, 4
Let o(m) be the second derivative of -m**4/66 + 8*m**3/33 - 7*m**2/11 + 216*m. Factor o(u).
-2*(u - 7)*(u - 1)/11
Let u(k) be the third derivative of -k**7/315 - 7*k**6/180 - 8*k**5/45 - k**4/3 - 381*k**2. Factor u(x).
-2*x*(x + 2)**2*(x + 3)/3
Let g(a) = a**3 + 11*a**2 + 14*a + 40. Let w be g(-10). Let o(y) be the third derivative of -y**2 + 1/42*y**4 + 1/210*y**5 + 0*y**3 + 0 + w*y. Factor o(q).
2*q*(q + 2)/7
Suppose 3 = 3*v - 9. Suppose 313*b = 318*b. Factor 1/3*z**2 - 1/3*z**v + b + 2/3*z - 2/3*z**3.
-z*(z - 1)*(z + 1)*(z + 2)/3
Let q(c) = -6*c - 306. Let l be q(-52). Let i(j) be the second derivative of 0*j**l + 0*j**2 + 0*j**4 + 1/63*j**7 - 3*j + 0 + 1/9*j**3 - 1/15*j**5. Factor i(b).
2*b*(b - 1)**2*(b + 1)**2/3
Suppose 0 = 8*j + 117 - 133. Let h(w) be the third derivative of -8*w**j + 0*w + 1/3*w**3 + 0 - 1/30*w**5 - 1/60*w**6 + 1/12*w**4. Factor h(m).
-2*(m - 1)*(m + 1)**2
Let j = -1414 + 1417. Factor 0*s**2 + 0*s**4 + 1/4*s**j + 0*s + 0 - 1/4*s**5.
-s**3*(s - 1)*(s + 1)/4
Solve -2*n**3 + 2*n**4 - 4/7*n**5 + 0*n + 4/7*n**2 + 0 = 0 for n.
0, 1/2, 1, 2
Let z = 8 - 12. Let i = z + 8. Suppose 6*m + 6*m**3 + 14*m**2 - 3*m**4 + 6*m**2 - 6*m**i + m**2 = 0. What is m?
-1, -1/3, 0, 2
Let n(z) be the third derivative of z**7/17640 - z**6/1680 + z**5/420 + z**4/24 + 16*z**2. Let a(r) be the second derivative of n(r). Factor a(t).
(t - 2)*(t - 1)/7
Let v be 0/((-18)/8*((-3256)/(-66))/(-37)). Suppose -3/2*z + 1/6*z**2 + v = 0. Calculate z.
0, 9
Suppose v - 18 = -3*l, 11*v - 7*v - 7 = l. Let b(c) be the first derivative of 2/33*c**v + 0*c - 3/11*c**2 - 7. What is y in b(y) = 0?
0, 3
Let v = -75/197 + 497/788. Let 1/4*p**3 - 5/4*p - 3/4 - v*p**2 = 0. Calculate p.
-1, 3
Let c = -27771 + 27773. Determine o so that 0 + 2/3*o**c + 2/3*o**4 - 16/9*o**3 + 4/9*o = 0.
-1/3, 0, 1, 2
Let d(x) = -2*x**3 + 2*x**2 + 4*x + 2. Let z be d(-2). Let f = z + -16. What is t in 2/9*t**5 + 0*t - 2/9*t**f + 2/9*t**4 - 2/9*t**3 + 0 = 0?
-1, 0, 1
Let s(q) be the second derivative of -q**5/100 + 17*q**4/60 + 8*q**3/3 + 42*q**2/5 - 439*q. Let s(a) = 0. Calculate a.
-2, 21
Let w(y) be the first derivative of -5 - 1/4*y**4 + 0*y**3 + 5*y + 3/2*y**2. Let l(s) be the first derivative of w(s). Factor l(x).
-3*(x - 1)*(x + 1)
Let g(s) be the third derivative of 0*s**4 - 1/840*s**6 + 0 + 6*s**2 - 1/210*s**5 + 0*s + 0*s**3. Factor g(n).
-n**2*(n + 2)/7
Suppose 0 = 426*y + 275 - 1127. Determine n so that 0*n - 2/5*n**5 + 12/5*n**3 + 2/5*n**4 + 0 + 0*n**y = 0.
-2, 0, 3
Let q(l) = -l**3 - 21*l**2 - 36*l + 12. Let z be q(-20). Suppose 3*m**3 + 20*m**2 + 14*m**3 - z*m + 4*m**4 + 336*m = 0. Calculate m.
-2, -1/4, 0
Let g(x) = -52*x**2 + 485*x + 53. Let f(m) = 53*m**2 - 478*m - 52. Let t(j) = 5*f(j) + 4*g(j). Factor t(o).
3*(o - 8)*(19*o + 2)
Let g = -7/4063 + 73225/52819. Determine t, given that -g*t**3 + 0*t + 0 - 48/13*t**4 - 32/13*t**5 - 2/13*t**2 = 0.
-1, -1/4, 0
Let i be 1/((-62)/(-20) + -3). Factor -2 - 4*v**4 + i*v + 2*v**4 - 10*v**3 - 3 + 7*v**4.
5*(v - 1)**3*(v + 1)
Suppose 4*q - 72 = 4*b, 5*q - 4*b - 78 = -3*b. Let u = -6 + 9. Factor -15*a**2 - 4*a**u + q*a**2 - 4*a**4.
-4*a**3*(a + 1)
Suppose 2*n - 17 + 19 = 0. Let v be (-4)/(-4) + -1*n/2. Factor 0 - v*y**2 + 3/2*y.
-3*y*(y - 1)/2
Suppose -9*z = 12*z - 84. Let l(w) be the second derivative of 2*w - 5/36*w**z - 1/60*w**5 + 0 + 3/2*w**2 - 1/6*w**3. Factor l(j).
-(j - 1)*(j + 3)**2/3
Solve 8*i - i**2 + 1416 - 22*i - 1365 = 0.
-17, 3
Let x(j) be the second derivative of j**4/72 - 11*j**3/36 + 2*j**2 + 321*j. Let x(l) = 0. Calculate l.
3, 8
Let w(d) be the first derivative of 3*d**4/16 - 5*d**3/12 + d**2/8 + d/4 + 99. Determine b, given that w(b) = 0.
-1/3, 1
Let t = -9 - 8. Let x = -15 - t. Let -80*b**2 + 2 + x + 82*b**2 + 6*b = 0. What is b?
-2, -1
Let r(q) be the first derivative of -2*q**3/33 + 10*q**2/11 - 50*q/11 + 127. Factor r(m).
-2*(m - 5)**2/11
Suppose 2*l + 3*f + 4 = 0, 0 = l - 5*l + 2*f - 8. Let s be 72/32 - l/(-8). What is z in 15/4*z**3 - 9/2*z**5 - 3/2*z**s + 0*z + 0 + 3/4*z**4 = 0?
-1, 0, 1/2, 2/3
Let h(d) = 5*d**2 - 159*d - 160. Let b(s) = -5*s**2 + 160*s + 160. Let q(x) = 4*b(x) + 5*h(x). Determine y so that q(y) = 0.
-1, 32
Suppose 2*u - u - 198 = -3*m, -3*u = 0. Factor 78*o + 4*o**3 - 4*o**4 + 4 + 20*o**2 - m*o - 4.
-4*o*(o - 3)*(o + 1)**2
Let h(f) be the third derivative of 0*f**3 + 0*f - 1/12*f**5 + 0 + 28*f**2 + 5/12*f**4. Factor h(r).
-5*r*(r - 2)
Find s, given that 0 + 57*s**2 + 2/3*s**4 - 73/6*s**3 - 27/2*s = 0.
0, 1/4, 9
Factor -14*y - 4*y - 21*y**2 + 66*y**3 - 12*y**3 - 15*y**4.
-3*y*(y - 3)*(y - 1)*(5*y + 2)
Let z(v) be the second derivative of 2*v**7/105 + 118*v**6/75 + 191*v**5/5 + 2521*v**4/15 + 4816*v**3/15 + 1568*v**2/5 + 273*v. Suppose z(m) = 0. Calculate m.
-28, -1
Solve -80*f**3 + 109*f - 12*f**2 + 83*f**3 - 109*f = 0 for f.
0, 4
Let u = 1376868769/770 - 1788141. Let j = 3/110 + u. Determine c so that 2/7*c + j*c**2 + 0 = 0.
-1, 0
Let c = -702 - -704. Find f such that -6/7*f + 0 + 3/7*f**c + 3/7*f**3 = 0.
-2, 0, 1
Let q be -1 - -1 - (-9)/3. Factor 12 - 9*m**2 - 10*m**2 + 15*m**2 + 5*m + q*m.
-4*(m - 3)*(m + 1)
Let r(p) = -3*p**2 + 7 + 3*p - 3*p**3 - 9*p - 3*p. Let u(w) = w**3 + w**2 + w - 1. Let d(h) = -3*r(h) - 12*u(h). Factor d(z).
-3*(z - 1)**2*(z + 3)
Let d(r) be the third derivative of 1/120*r**5 - 7/12*r**3 + 0*r + 0 - 35*r**2 + 1/8*r**4. Factor d(y).
(y - 1)*(y + 7)/2
Let y = 2291/3 + -763. Suppose -6 = -5*m + 4. Factor 0 - 4/3*i**4 + 2/3*i**5 + 0*i**m + 0*i + y*i**3.
2*i**3*(i - 1)**2/3
Let f = 130/287 - 1/41. Factor 9/7*b**3 + f*b**2 - 6/7 - 9/7*b + 3/7*b**4.
3*(b - 1)*(b + 1)**2*(b + 2)/7
Let c(m) = 2*m + 9. Let y be c(-2). Factor 3*x**5 + 6*x**3 + 11*x - 2*x**y - 4*x**4 - 10*x - 4*x**2 + 0*x**4.
x*(x - 1)**4
Let r(v) be the second derivative of -v**6/150 - 7*v**5/50 - v**4 - 52*v**3/15 - 32*v**2/5 - 305*v. Let r(n) = 0. Calculate n.
-8, -2
Let w(p) be the first derivative of 3/4*p**4 - 3/2*p**2 - 19 - 9*p + 3*p**3. Find x such that w(x) = 0.
-3, -1, 1
Suppose -2 = -2*c + 3*a, 5*c + 5*a - 1 = 4. Let n be c + -2 + 2 + 1. Find m such that -1 - 4*m + 4*m + 2*m - m**n = 0.
1
Let m(x) be the second derivative of -x**5/180 - x**4/24 + 13*x**2/2 + 4*x. Let w(y) be the first derivative of m(y). Factor w(i).
-i*(i + 3)/3
Let g be 3/6 - (-4)/(-8). Let b(s) be the second derivative of s + 0*s**2 - 1/3*s**3 + g - 1/6*s**4. Find o, given that b(o) = 0.
-1, 0
Suppose -5*k = -18 - 12. Let p be k/(-4)*(-9 - -3). Factor z**2 + p*z**4 - 10*z**2 - 6*z - 18 + 18 + 6*z**3.
3*z*(z - 1)*(z + 1)*(3*z + 2)
Suppose a = -3*t + 6*a + 9, -3*a - 9 = -3*t. Suppose -t*c**3 - 5 + 5*c**2 + 4 + 0*c - c = 0. Calculate c.
-1/3, 1
Suppose -5*l = 5*t + 50, 0 = -2*t - 8*l + 11*l + 5. Let u be -4 + -4 - t - -5. Factor 15/2*y**u - 9/2*y + 25/2*y**3 + 1/2.
(y + 1)*(5*y - 1)**2/2
Let 20/3*r - 32/3 + 14/3*r**2 - 2/3*r**3 = 0. Calculate r.
-2, 1, 8
Factor -18*f**4 - 34*f**3 + 28*f**4 - 5*f**4 + 9*f**3 + 30*f**2.
5*f**2*(f - 3)*(f - 2)
Let h = 309 + -615/2. Factor h*d**2 - 9/2*d + 9/2*d**3 + 3/2*d**4 - 3.
3*(d - 1)*(d + 1)**2*(d + 2)/2
Let x(r) = 17*r**4 - 55*r**3 - 99*r**2 + 300*r + 349. Let c(y) = 3*y**4 - 11*y**3 - 20*y**2 + 60*y + 70. Let f(s) = -33*c(s) + 6*x(s). Factor f(q).
3*(q - 2)*(q + 1)*(q + 6)**2
Solve -156/7 + 2/7*f**2 - 22*f = 0 for f.
-1, 78
Suppose 168 = 73*y - 52*y. Let g(b) be the third derivative of y*b**2 - 16/27*b**3 - 1/270*b**5 - 2/27*b**4 + 0 + 0*b. Factor g(o).
-2*(o + 4)**2/9
Let j = -12175111/60 - -202908. Let c = -1/60 - j. Factor 15/2*m**2 + 3 - c*m.
3*(m - 1)*(5*m - 2)/2
Suppose 0 = p + 4*l - 3 - 1, 5*p - 20 = -5*l. Suppose 1 = -p*j + 9. Suppose m + 5*m**2 - 3*m**3 - 3*m**j - 10*m - 11*m**2 - 3 = 0. Calculate m.
-1
Let q(p) be the second derivative of p**8/67200 + p**7/3600 - 3