l*w - 2*o + 276 = 0, 4 = 4*o - 8. Determine y, given that 81/2 - 6*y**3 - w*y + 27*y**2 + 1/2*y**4 = 0.
3
Let u(k) be the second derivative of -k**7/147 - 62*k**6/105 - 1321*k**5/70 - 5230*k**4/21 - 17200*k**3/21 - 8000*k**2/7 + 582*k. Solve u(y) = 0 for y.
-20, -1
Let w = -45 + 70. What is g in 1134 + 8*g**4 + 15*g**3 - 28*g**4 - 15*g - 1139 + w*g**2 = 0?
-1, -1/4, 1
Suppose -7*q + 4*z + 28 = -3*q, 31 = 3*q - 5*z. Solve 1/4*r**q + 169/4 + 13/2*r = 0.
-13
Let t = -36 - -32. Let c(n) = 25*n**2 - 32*n - 15. Let u(g) = -13*g**2 + 16*g + 8. Let w(m) = t*c(m) - 7*u(m). Factor w(s).
-(s - 2)*(9*s + 2)
Suppose 0 = -b - 0*b + 2. Suppose 2*i = 5*i - 8*i. Factor -2/9*r**3 - 8/9*r + 8/9*r**b + i.
-2*r*(r - 2)**2/9
Let -2/13*h**2 - 4/13 - 6/13*h = 0. Calculate h.
-2, -1
Factor -1/2*k**3 + 45/2 + 9/2*k - 5/2*k**2.
-(k - 3)*(k + 3)*(k + 5)/2
Let d be (-5076)/(-1504) + 10/(-4). Factor -3/8*u**3 - d*u + u**2 + 1/4.
-(u - 1)**2*(3*u - 2)/8
Let o(n) be the first derivative of -n**8/336 - n**7/105 + n**5/30 + n**4/24 + n**2/2 + 10. Let h(r) be the second derivative of o(r). Factor h(p).
-p*(p - 1)*(p + 1)**3
Let j(s) be the first derivative of -s**3/6 - 5*s**2 - 32*s - 306. Suppose j(r) = 0. Calculate r.
-16, -4
Let d be -12*((-192)/(-108))/(-8)*1/2. Let 0 + 2/9*q**2 - d*q = 0. Calculate q.
0, 6
Let v be 20/(-50)*(-3)/(36/5). Let t(r) be the second derivative of 1/20*r**5 - 4*r + 0 + 1/6*r**4 + 0*r**2 + v*r**3. Factor t(q).
q*(q + 1)**2
Let r = -75 - -79. Suppose -124*w - r = -126*w. Factor 0 - 44/5*u**3 - 16/5*u**4 - 2/5*u**5 - 18/5*u - 48/5*u**w.
-2*u*(u + 1)**2*(u + 3)**2/5
Let d(n) be the second derivative of -n**6/10 + 3*n**5/5 + 19*n**4/4 + 7*n**3 - 59*n. Determine j, given that d(j) = 0.
-2, -1, 0, 7
Let d be 1 + (-2 - -5) + (-11 - -7). Factor 0*s**2 + d*s + 4/3*s**4 + 0 + 2/3*s**5 + 2/3*s**3.
2*s**3*(s + 1)**2/3
Factor 24*u**2 - 123/4*u + 45/4*u**3 - 9/2.
3*(u - 1)*(u + 3)*(15*u + 2)/4
Let p(v) = -35*v + 852. Let m be p(24). Solve -3/4*o**2 - m + 6*o = 0 for o.
4
Let n(p) = p**3 + 3*p**2 - 5*p - 6. Let v be n(-3). Let u be (v/44)/((-7)/168*-3). Factor 2/11 + u*m**2 + 8/11*m**3 + 12/11*m.
2*(m + 1)**2*(4*m + 1)/11
Suppose 0*d = d - 2*d. Let h(i) be the third derivative of 0*i**5 + d*i**6 + 0*i**3 + 1/504*i**8 - 1/315*i**7 + 0*i**4 + 3*i**2 + 0 + 0*i. Factor h(g).
2*g**4*(g - 1)/3
Suppose -7*n = -6*n - 8. Find g, given that 310 - 12*g**2 - 310 + n*g = 0.
0, 2/3
Let c(v) be the second derivative of 3*v**5/20 + v**4 - 9*v**3/2 - 54*v**2 - 95*v - 2. Suppose c(d) = 0. Calculate d.
-4, -3, 3
Let j(n) be the first derivative of -n**4/12 - 4*n**3/9 + 14*n**2/3 - 32*n/3 + 17. Factor j(u).
-(u - 2)**2*(u + 8)/3
Let a(d) be the first derivative of -d**4/4 - d**3/3 + 2*d**2 + 4*d + 761. Determine y so that a(y) = 0.
-2, -1, 2
Let p(r) = -r**2 + r - 1. Let f = 54 - 53. Let y(m) = -8*m**2 + 20*m - 2. Let q(o) = f*y(o) - 10*p(o). Factor q(v).
2*(v + 1)*(v + 4)
Let j(z) be the third derivative of z**5/30 - 5*z**4/4 - 34*z**3/3 + 12*z**2. Find k, given that j(k) = 0.
-2, 17
Let d be ((-10)/(-30))/((-2)/(-30)). Suppose -3*s + 5 = -2*c, -2*c - 4 - 7 = -d*s. Factor -4/7 + 16/7*m - 4/7*m**4 + 16/7*m**3 - 24/7*m**c.
-4*(m - 1)**4/7
Let i(v) be the first derivative of 5*v**6/12 - v**5/2 - 5*v**4/8 + 5*v**3/6 - 21. Factor i(z).
5*z**2*(z - 1)**2*(z + 1)/2
Let z(f) be the second derivative of f**4/3 + 55*f**3/9 + 3*f**2 - 452*f. Suppose z(t) = 0. What is t?
-9, -1/6
Let x(i) be the third derivative of -i**6/40 + 3*i**5/20 + 34*i**2. Factor x(j).
-3*j**2*(j - 3)
Factor 4 - 3*x**2 + 23 + 12 - 36*x.
-3*(x - 1)*(x + 13)
Let v(h) be the first derivative of -5*h**6/6 + 4*h**5 - 25*h**4/4 + 10*h**3/3 - 62. Factor v(k).
-5*k**2*(k - 2)*(k - 1)**2
Suppose -5*r - 21 = 3*n, 2*r = 7*r + 30. Factor -5*l + 25/3 - 1/3*l**3 - n*l**2.
-(l - 1)*(l + 5)**2/3
Suppose -133/4*q - 17*q**2 - 1/4*q**3 - 33/2 = 0. Calculate q.
-66, -1
Let l(w) = 7*w - 5*w**2 - 3 + 11 + 4. Let v(g) be the second derivative of -35*g**4/12 + 25*g**3/3 + 85*g**2/2 - 5*g. Let z(r) = -20*l(r) + 3*v(r). Factor z(n).
-5*(n - 3)*(n + 1)
Let i(b) be the third derivative of -b**6/120 - 11*b**5/10 - 363*b**4/8 + b**2 + 86*b. Factor i(t).
-t*(t + 33)**2
Let f(a) be the third derivative of -a**7/840 - 7*a**6/480 + a**5/240 + 7*a**4/96 - 10*a**2 - 1. Factor f(v).
-v*(v - 1)*(v + 1)*(v + 7)/4
Let r = -46 - -152. Let n = r + -106. What is k in 0*k**2 + 2/5*k**4 - 1/5*k**3 - 1/5*k**5 + n + 0*k = 0?
0, 1
Let a = 4059/685 - -65/137. Factor 144/5*z - a + 8/5*z**3 - 66/5*z**2.
2*(z - 4)**2*(4*z - 1)/5
Let o(s) be the second derivative of 1 - 2/35*s**7 + 0*s**2 + 0*s**3 + 0*s**4 - 4/75*s**6 + 3*s + 0*s**5. Factor o(m).
-4*m**4*(3*m + 2)/5
Let d(p) be the first derivative of 1/22*p**4 + 48 + 8/33*p**3 + 0*p + 0*p**2. Factor d(s).
2*s**2*(s + 4)/11
Let u(m) be the first derivative of m**7/63 - 2*m**6/45 + m**5/90 + m**4/18 + 7*m**2/2 - 2. Let p(i) be the second derivative of u(i). Factor p(q).
2*q*(q - 1)**2*(5*q + 2)/3
Let f(b) = 2*b**2 + b. Let k be f(1). Suppose -3*c = -2*c - k. Let 25*p**4 - 5*p**c + 0*p**3 + 4*p**2 + 25*p**3 = 0. Calculate p.
-2/5, 0
Let d(i) be the first derivative of -32*i**4/17 + 32*i**3/17 - 12*i**2/17 + 2*i/17 + 44. Factor d(a).
-2*(4*a - 1)**3/17
Determine b, given that -22*b**2 - 11 - 9 + 13*b - 13*b + 27*b**2 = 0.
-2, 2
Let n(c) be the third derivative of -13*c**5/20 - 27*c**4/8 - 7*c**3 - 178*c**2. Solve n(m) = 0 for m.
-14/13, -1
Let t = -3/44 + 7/22. Let j(h) be the second derivative of 5*h + 0 + t*h**4 + 0*h**2 - 1/10*h**6 + 1/3*h**3 - 1/42*h**7 - 1/20*h**5. Find n such that j(n) = 0.
-2, -1, 0, 1
Let a = 448 - 444. Let w(x) be the first derivative of 1/5*x**2 + 0*x + 1/10*x**a + 4/15*x**3 - 6. Factor w(c).
2*c*(c + 1)**2/5
Let t(k) be the second derivative of k**4/6 - 2*k**3 - 55*k**2 + 3*k - 99. Suppose t(d) = 0. What is d?
-5, 11
Let g(b) be the third derivative of 0*b**4 + 1/105*b**6 + 0*b + 0*b**3 - 23*b**2 + 0 + 8/735*b**7 + 0*b**5 - 5/1176*b**8. Factor g(y).
-2*y**3*(y - 2)*(5*y + 2)/7
Let c(u) = u**3 - 28*u**2 - 26*u - 84. Let t be c(29). Let i(k) be the first derivative of -6 + 1/3*k**2 - 2/9*k**t + 0*k. Find v such that i(v) = 0.
0, 1
Let t(m) be the second derivative of -13*m**4/48 + 5*m**3/4 - m**2 - 107*m. Suppose t(j) = 0. Calculate j.
4/13, 2
Let o = -91 + 96. Suppose 5*x - 18 = -2*r, 5*x + o*r - 50 + 20 = 0. Let 2/3*q + 1/3 + 1/3*q**x = 0. Calculate q.
-1
Let w(x) be the second derivative of x**6/15 - 9*x**5/16 + 35*x**4/24 - 5*x**3/8 - 9*x**2/4 + 8*x - 9. Let w(t) = 0. Calculate t.
-3/8, 1, 2, 3
Suppose 14*m**3 - 11 - 72*m**2 - 11 - 17 + 10*m + 39 = 0. What is m?
0, 1/7, 5
Let i(j) be the third derivative of -1/84*j**4 - 1/140*j**6 - 1/70*j**5 + 0*j + 0 - 18*j**2 - 1/735*j**7 + 0*j**3. Factor i(g).
-2*g*(g + 1)**3/7
Factor 0*y + 2/3*y**4 - 38/3*y**3 + 0 - 40/3*y**2.
2*y**2*(y - 20)*(y + 1)/3
Suppose -3*n + 2 + 10 = 0. Suppose -2*d + n*d - 56 = 0. Solve 4*p**4 - 4 - p**2 + 37*p**2 - 20*p**3 - d*p + 0*p**4 + 12 = 0 for p.
1, 2
Let h be ((-4)/(-22))/((-1)/(-11)). Factor -4/7 - 20/7*f**h - 16/7*f - 8/7*f**3.
-4*(f + 1)**2*(2*f + 1)/7
Let d(u) be the third derivative of 33/20*u**6 + 25*u**2 + 0*u + 0 + 13/70*u**7 + 81/10*u**5 + 189/8*u**4 + 1/112*u**8 + 81/2*u**3. Factor d(i).
3*(i + 1)*(i + 3)**4
Let d = -6196/3 - -2066. Determine j so that d*j**2 - 1/3*j**3 + 0 + 0*j = 0.
0, 2
Suppose -5*f + 2*h + 15 = 0, 9 = -81*f + 84*f - 5*h. Let -2/5*v**5 + 4/5*v**f - 2/5*v**4 + 4/5*v**2 - 2/5 - 2/5*v = 0. What is v?
-1, 1
Let o(f) be the third derivative of -135*f**8/112 + 36*f**7/7 - 27*f**6/4 + 4*f**5 - 25*f**4/24 + 288*f**2. Determine d so that o(d) = 0.
0, 1/3, 5/3
Let u(f) be the third derivative of 14*f**2 + 0 - 1/108*f**5 + 0*f + 0*f**3 + 1/1080*f**6 + 0*f**4. Factor u(x).
x**2*(x - 5)/9
Let v(x) be the first derivative of -7 - 28/13*x**3 - 4/65*x**5 - 4*x**2 - 15/26*x**4 - 48/13*x. Factor v(y).
-2*(y + 2)**3*(2*y + 3)/13
Let r(w) be the third derivative of -w**8/6720 + w**7/7560 - 5*w**4/8 + 17*w**2. Let q(l) be the second derivative of r(l). Factor q(m).
-m**2*(3*m - 1)/3
Factor -48599*g**2 - 1/2*g**5 - 6347/2*g**3 + 48668 - 69*g**4 + 3174*g.
-(g - 1)*(g + 1)*(g + 46)**3/2
Let d be (-220)/260 - 2/13 - -3. Let p(b) = b**2 + 8*b + 11. Let m be p(-7). Find w, given that 4/19*w**d + 0*w**3 + 2/19*w - 