*h**4 + 0*h + 3/7*h**2 - 5/7*h**p. Factor w(g).
-3*g*(g - 2)*(g - 1)**2/7
Suppose 5*w - 117*k = -119*k - 8, 5*w - 5*k - 20 = 0. Factor -2/19*x**4 - 2/19*x**5 + 4/19*x**3 + 0 + w*x + 0*x**2.
-2*x**3*(x - 1)*(x + 2)/19
Let i be (90/(-77))/(0 + (-3)/14). Factor i*d**3 + 50/11*d**4 + 0 + 16/11*d - 72/11*d**2.
2*d*(d + 2)*(5*d - 2)**2/11
Let c(t) be the first derivative of -t**4 - 28*t**3/3 - 12*t**2 - 358. Suppose c(w) = 0. Calculate w.
-6, -1, 0
Factor -73*g**3 - 12*g**2 + 71*g**3 - 10*g + 2 + 22 + 0.
-2*(g - 1)*(g + 3)*(g + 4)
Let d(f) be the second derivative of 7*f**5/270 + f**4/36 - 4*f**3/27 - 2*f**2 - 6*f. Let m(p) be the first derivative of d(p). Factor m(j).
2*(j + 1)*(7*j - 4)/9
Let t(b) be the third derivative of b**6/24 - 7*b**5/12 + 25*b**4/8 - 15*b**3/2 + 2*b**2 - 5. Solve t(h) = 0 for h.
1, 3
Let q be 4/(-3 - 14/(-4)). Suppose -13*m + q*m = -65. Factor -9*p**4 + 23*p**4 - m*p**4.
p**4
Solve -15 + 3/2*n**4 - 91/2*n**3 + 27/2*n**2 + 91/2*n = 0 for n.
-1, 1/3, 1, 30
Let c(v) be the third derivative of v**9/6048 - v**7/1680 - 13*v**3/6 + 19*v**2. Let f(g) be the first derivative of c(g). Factor f(a).
a**3*(a - 1)*(a + 1)/2
Suppose -4*r + 25 = 9. Factor 2*s**r - 15*s**3 + 3*s**3 + 12*s**2 + 4*s**2 + 12*s - 129 + 111.
2*(s - 3)**2*(s - 1)*(s + 1)
Let z(c) = 17*c**4 - 36*c**3 - 262*c**2 + 908*c + 1109. Let p(h) = -6*h**4 + 12*h**3 + 87*h**2 - 303*h - 369. Let f(s) = -8*p(s) - 3*z(s). Factor f(y).
-3*(y - 5)**2*(y + 1)*(y + 5)
Let y be (12/2)/3*(-2 - -3). Find h, given that 4 + 20*h**4 - 6*h**5 - 36*h**y + 20*h + 12 - 2*h**3 - 12*h = 0.
-1, -2/3, 1, 2
Let j(i) be the second derivative of 1/357*i**7 - 1/17*i**3 - 43*i + 2/51*i**4 + 0*i**2 + 1/85*i**5 - 4/255*i**6 + 0. Determine y, given that j(y) = 0.
-1, 0, 1, 3
Let v(z) be the first derivative of -2/5*z**2 - 1/10*z**4 - 1 - 2/5*z**3 + 0*z. Find p such that v(p) = 0.
-2, -1, 0
Suppose -9 = 7*s - 10*s + 3*a, 0 = 5*s - 3*a - 13. Let x be (-24)/(-35) - (-2)/(-5). Factor -2/7*j - x*j**s + 0.
-2*j*(j + 1)/7
Suppose 0 = 7*g - 31 - 11. Find u, given that g*u**2 + 30 + 0*u**2 + 2*u**2 - 3*u**2 + 25*u = 0.
-3, -2
Let b(c) = 82*c - 1063. Let d be b(13). Factor -2/7*l**d - 150/7*l + 30/7*l**2 + 250/7.
-2*(l - 5)**3/7
Let z be (-2)/14 + (-1286)/14. Let s = 92 + z. Factor 1/2*m**2 - 3/2*m + s.
m*(m - 3)/2
Let v(p) be the third derivative of p**8/3360 + 13*p**7/2520 + p**6/90 - 2*p**5/3 + 2*p**2. Let r(d) be the third derivative of v(d). Solve r(a) = 0.
-4, -1/3
Let v(u) be the second derivative of 288*u**5/25 - 152*u**4/15 - u**3 + 18*u**2/5 - 291*u. Solve v(y) = 0.
-2/9, 3/8
Let a(s) be the third derivative of -s**7/210 - s**6/30 + 11*s**5/60 - s**4/4 - 739*s**2. Suppose a(z) = 0. Calculate z.
-6, 0, 1
Suppose -83*j - 199*j + 59*j + 446 = 0. Let 4/3 + 1/3*g**j - 4/3*g = 0. Calculate g.
2
Let s(u) be the second derivative of -5*u**3 + 0 - 17*u - 3/4*u**4 + 12*u**2. Find b such that s(b) = 0.
-4, 2/3
Let k(n) = 2*n**2 - 13*n - 16. Let d be k(11). Let z = d - 71. Factor -15/2*u**3 + z - 9*u**2 - 3/2*u**4 + 6*u.
-3*(u - 1)*(u + 2)**3/2
Let u(h) = 13*h**3 + 353*h**2 + 41067*h + 1601613. Let b(p) = -19*p**3 - 354*p**2 - 41067*p - 1601613. Let m(j) = -4*b(j) - 6*u(j). What is t in m(t) = 0?
-117
Let f = -659/558 + 87/62. Factor 2/9*l**3 - f*l + 2/9 - 2/9*l**2.
2*(l - 1)**2*(l + 1)/9
Let a = -579 - -1459. Factor 439*r + 10 - a*r + 456*r + 5*r**2.
5*(r + 1)*(r + 2)
Let f be 4 + (0/(-1) - -13). Determine r so that f*r + 25 + 2 - 6*r**2 - 3 - 5*r - 3*r**3 = 0.
-2, 2
Let y = 35611/4 - 9062. Let p = y - -160. Factor 3/4*j**3 + 3/2*j**2 - 3/2 - p*j.
3*(j - 1)*(j + 1)*(j + 2)/4
Let n(d) be the second derivative of -d**7/4200 + 7*d**3/3 + 6*d. Let y(o) be the second derivative of n(o). Solve y(s) = 0 for s.
0
Let d be ((-340)/(-140) - -14) + -15. Determine k, given that 2/7*k + d*k**3 + 4/7 - 16/7*k**2 = 0.
-2/5, 1
Let q(g) be the first derivative of -g**7/1365 - g**6/260 - g**5/130 - g**4/156 + 2*g**2 - 10. Let c(p) be the second derivative of q(p). What is m in c(m) = 0?
-1, 0
Suppose -4*k - 7 = 13. Let l = k - -10. Let q(u) = -11*u**2 - 12*u - 1. Let c(t) = 6*t**2 + 6*t. Let f(b) = l*c(b) + 3*q(b). Factor f(j).
-3*(j + 1)**2
Let x(m) = 25*m**2 + 2880*m + 207345. Let y(l) = 11*l**2 + 1440*l + 103674. Let v(r) = 2*x(r) - 5*y(r). Let v(o) = 0. Calculate o.
-144
Let y(g) be the third derivative of -20*g**2 + 0 + 1/180*g**4 - 1/75*g**5 + 0*g + 0*g**3. Factor y(p).
-2*p*(6*p - 1)/15
Let q(d) = -6*d**3 - 9*d**2 + 22*d - 1. Let c(w) = w**2 + w + 1. Let i(o) = 4*c(o) - 2*q(o). Factor i(z).
2*(z - 1)*(z + 3)*(6*z - 1)
Let n(g) = -4*g**2 + g - 1. Let u(v) = 2*v**3 - 326*v**2 + 19490*v - 370382. Let b(a) = 4*n(a) + u(a). Let b(i) = 0. What is i?
57
Let v be (-5)/4*(521 - -15). Let z = v - -3364/5. What is k in 3/5*k**2 - z*k + 8/5 = 0?
2/3, 4
Let k(b) be the third derivative of b**6/210 - b**5/21 + b**4/6 - 2*b**3/7 - 2*b**2 + 20*b. Determine u, given that k(u) = 0.
1, 3
Factor 196*g**3 + 3*g - 104*g**4 + 78538*g**5 - 3*g - 78534*g**5 - 96*g**2.
4*g**2*(g - 24)*(g - 1)**2
Let u be 1*-2 - 568/(-64). Let o = -369/56 + u. Factor -2/7*i + o*i**2 - 4/7.
2*(i - 2)*(i + 1)/7
Let i be 9/(-2) - (-2)/(-4). Let b be (-6)/(-4) - i/10. What is z in -6*z**2 + 2*z + b*z + 0*z + 3*z**3 - z = 0?
0, 1
Let y(a) be the first derivative of a**6/720 - a**5/120 - a**4/16 - 5*a**3/3 - 7. Let o(z) be the third derivative of y(z). Factor o(v).
(v - 3)*(v + 1)/2
Determine t, given that 3/8*t**2 + 1/2 - t = 0.
2/3, 2
Let d = 343 + -206. Let f = d - 137. Factor -3/5*z + 0 + 0*z**2 + f*z**4 + 6/5*z**3 - 3/5*z**5.
-3*z*(z - 1)**2*(z + 1)**2/5
Let l(n) = -n**5 - 6*n**4 + 42*n**3 - 27*n**2 - n - 14. Let h(f) = -2*f**5 - 6*f**4 + 42*f**3 - 28*f**2 - 12. Let t(k) = -7*h(k) + 6*l(k). Solve t(i) = 0 for i.
-3, 0, 1/4, 1
Let n(u) be the first derivative of u**3/9 - 4*u/3 - 67. Factor n(z).
(z - 2)*(z + 2)/3
Let r(m) = -3*m**3 - m**2. Let b be r(-1). Let s be 0 + b/1 + 0. Factor -i**2 - 2*i - i**s + 2*i**3 + 2*i**4 + 0*i**2 + 0*i**2.
2*i*(i - 1)*(i + 1)**2
Suppose 4*q = -8, 5*q + 8 = 2*r - 6. Suppose -3*j - 7 = 5*a - 4*a, -5*a + 4 = 2*j. Find d, given that -2*d + r*d**a + 9 - 9 = 0.
0, 1
Solve 2/3*s**2 - 1/9*s**5 - 13/9*s**3 + 0 + 0*s + 8/9*s**4 = 0.
0, 1, 6
Suppose -4*k = 5*o - 31, 2*o - 3*k = -6 - 0. Let y be 2 - o - (-45)/35. Factor 4/7*r**2 - 4/7 - y*r**3 + 2/7*r.
-2*(r - 2)*(r - 1)*(r + 1)/7
Factor 2*f**5 + 80*f**4 + 12*f**5 - 29*f**5 + 390*f**3 + 9*f**5 + 245*f + 560*f**2 + 11*f**5.
5*f*(f + 1)**2*(f + 7)**2
Suppose -1 = -4*s + 15. Solve -2*x**s - 2*x - 11*x**5 + 3*x + 10*x**5 + 2*x**2 = 0.
-1, 0, 1
Let u = 135 - 133. Let j(s) be the third derivative of s**u + 0*s + 1/360*s**5 + 1/144*s**4 + 0 + 0*s**3. Factor j(h).
h*(h + 1)/6
Let n(x) = -4*x**3 - 85*x**2 + 3*x - 3. Let r(w) = w**2 + w - 1. Let p(u) = n(u) - 3*r(u). Solve p(o) = 0.
-22, 0
Let a(k) be the first derivative of -1/2*k**4 + 4/5*k**5 - 2 + 0*k + 0*k**2 + 1/3*k**6 - 4/3*k**3. Solve a(v) = 0 for v.
-2, -1, 0, 1
Let a(k) be the second derivative of k**7/90 + k**6/15 - 2*k**5/15 + k**4/2 + 12*k. Let n(t) be the third derivative of a(t). Factor n(r).
4*(r + 2)*(7*r - 2)
Let z(d) = -37*d + 2. Let m be z(6). Let o be 0 - (-5)/(m/(-16)). Factor 2/11*q**5 + 0 - 6/11*q**3 - o*q + 2/11*q**4 - 10/11*q**2.
2*q*(q - 2)*(q + 1)**3/11
Let k(r) = -35*r**3 + 190*r**2 - 230*r + 105. Let j = 16 - 31. Let d(c) = -5*c**3 + 27*c**2 - 33*c + 15. Let o(z) = j*d(z) + 2*k(z). Factor o(w).
5*(w - 3)*(w - 1)**2
Let i(v) be the second derivative of -v**7/180 - 2*v**6/45 - v**5/15 + 11*v**4/12 + 44*v. Let a(c) be the third derivative of i(c). Let a(n) = 0. What is n?
-2, -2/7
Let b be (-24)/16*1*4/(-3). Let c(w) be the third derivative of 0*w**3 + 0*w + b*w**2 + 1/315*w**7 - 1/90*w**5 + 0*w**4 + 0*w**6 + 0. Solve c(d) = 0 for d.
-1, 0, 1
Let x(o) be the third derivative of o**6/840 + 17*o**5/210 - 37*o**4/42 + 76*o**3/21 - 407*o**2. Solve x(r) = 0 for r.
-38, 2
Let b(l) be the second derivative of 1/5*l**3 + 0 - 1/30*l**4 + 48*l + 0*l**2. Factor b(p).
-2*p*(p - 3)/5
Let u(l) be the first derivative of -5*l**4/32 + 23*l**3/24 + 5*l**2/8 - 70. Factor u(i).
-i*(i - 5)*(5*i + 2)/8
Suppose -15*v - 7*v = 2*v. Factor -9/7*d**2 + 2/7*d + v.
-d*(9*d - 2)/7
Factor -3*j**2 + 36*j + 125*j - 26*j.
-3*j*(j - 45)
Let c(b) be the second d