 1502. Let m be p(-11). Let q = -5 - -9. Find b such that 2/3*b**3 + 2/9*b**m + 2/3*b**q + 0*b + 2/9*b**2 + 0 = 0.
-1, 0
Let m(x) = x - 5. Let a be m(17). Factor 2*r**2 + a*r - 27 - 29 + 42.
2*(r - 1)*(r + 7)
Let j(f) be the second derivative of 4/5*f**2 + 1/30*f**4 - 6*f + 4/15*f**3 + 0. Solve j(y) = 0.
-2
Let v = -4/280495 - -50771011/99295230. Let o = v + -2/177. Factor n**3 + o*n**2 + 0 - 1/2*n**4 - n.
-n*(n - 2)*(n - 1)*(n + 1)/2
Let k be 3*3/126 + (-9)/(-21). Suppose 0*n**2 + k*n + 0 - 1/2*n**3 = 0. Calculate n.
-1, 0, 1
Let o(b) be the second derivative of -b**4/12 + 5*b**3/6 - 5*b. Let l be o(5). Find p, given that 0*p**4 - 5*p**3 + 2*p**4 + 3*p**3 + l*p**3 = 0.
0, 1
Let d(v) = 4*v**2 + 13*v + 16. Let y = 15 - 13. Let q be (-1 - y)*1 + 1. Let c(a) = -a**2 - 4*a - 5. Let g(l) = q*d(l) - 7*c(l). Factor g(o).
-(o - 3)*(o + 1)
Let g(w) be the third derivative of w**5/60 - 15*w**4/2 + 1350*w**3 + 276*w**2. Factor g(q).
(q - 90)**2
Suppose z = -4*z + 10. Determine u, given that -22*u + 6*u**z - 2*u**3 + 14*u - 2*u**3 + 6*u**2 = 0.
0, 1, 2
Let d(z) be the second derivative of 0 + 1/24*z**4 + 1/6*z**3 + 13*z + 0*z**2. Solve d(a) = 0.
-2, 0
Determine p, given that -2/3 + 1/6*p**4 + 4/3*p - 1/2*p**2 - 1/3*p**3 = 0.
-2, 1, 2
Let h = 996/221 + -3/442. Factor 15/4*j - 3/4*j**2 + h.
-3*(j - 6)*(j + 1)/4
Let i = 9195/862 - 1/2586. Factor -4*n**3 - 56/3*n**2 - i - 80/3*n.
-4*(n + 2)**2*(3*n + 2)/3
Factor -12/17*c**4 + 0 - 22/17*c**3 + 2/17*c - 8/17*c**2.
-2*c*(c + 1)**2*(6*c - 1)/17
Let j(f) = -f**2 - 4*f - 3. Let k(u) = -3*u**2 - 13*u - 10. Let z(y) = 8*j(y) - 3*k(y). Let z(m) = 0. Calculate m.
-6, -1
Let w be -8 + 11 + 21*1. Suppose -v + w = v. Factor -3*a**4 + 2*a + 0*a**4 + v*a**3 - a - 17*a**3 - a**2.
-a*(a + 1)**2*(3*a - 1)
Let q be (-90)/(-9)*(3/(-5) + 1). Suppose 4*a = 2*g - 0*a - q, 0 = 5*g + 3*a - 10. Suppose 0 - i - 1/3*i**g = 0. Calculate i.
-3, 0
Let f(z) be the first derivative of z**6/1440 - z**5/240 + z**4/96 - 3*z**3 + 16. Let b(q) be the third derivative of f(q). Determine s, given that b(s) = 0.
1
Let u(q) be the second derivative of 3*q**5/80 + 35*q**4/16 + 375*q**3/8 + 3375*q**2/8 + 216*q + 1. Factor u(v).
3*(v + 5)*(v + 15)**2/4
Let h(q) = q**2 - 2*q - 1. Let t(m) = -2*m**2 + 4*m + 6. Let x(a) = 4*h(a) + t(a). Find f such that x(f) = 0.
1
Let o(i) = i. Let d(c) = -95*c**2 + 110*c - 10. Let g(t) = d(t) - 5*o(t). Factor g(u).
-5*(u - 1)*(19*u - 2)
Let r(z) be the third derivative of z**7/3780 - z**6/1620 - z**3/6 - 4*z**2. Let k(x) be the first derivative of r(x). Factor k(p).
2*p**2*(p - 1)/9
Factor 2/3*o**2 - 320/3*o + 12800/3.
2*(o - 80)**2/3
Let h be (470/(-376))/((-50)/8). Factor 0 - 3/5*g**3 + 0*g - 2/5*g**2 - h*g**4.
-g**2*(g + 1)*(g + 2)/5
Factor -348*k + 15987 + 10*k + 29*k + 3*k**2 - 129*k.
3*(k - 73)**2
Factor 3*f**2 - 123 - 78*f + 2 + 40.
3*(f - 27)*(f + 1)
Let o be (-216)/9*(-5)/330. Factor 2/11*d**2 + o*d**5 - 2/11*d + 0 + 6/11*d**3 - 10/11*d**4.
2*d*(d - 1)**3*(2*d + 1)/11
Let x(k) = 3*k**4 + 5*k**3 + 64*k**2 + 67*k - 5. Let w(t) = 4*t**4 + 4*t**3 + 64*t**2 + 66*t - 6. Let p(b) = 5*w(b) - 6*x(b). Factor p(n).
2*n*(n - 9)*(n + 2)**2
Let x(w) be the first derivative of w**9/5040 - w**7/700 + w**5/200 - 2*w**3 + 11. Let n(q) be the third derivative of x(q). Determine o, given that n(o) = 0.
-1, 0, 1
Let a = 59491/19 + -3131. Factor 0*c + a*c**3 - 6/19*c**4 + 0 + 4/19*c**2.
-2*c**2*(c - 1)*(3*c + 2)/19
Let x(d) be the second derivative of d**4/114 + 6*d**3/19 + 579*d. Solve x(h) = 0.
-18, 0
Let y(c) be the third derivative of c**5/240 - 7*c**4/24 + 4*c**3 + 634*c**2. Factor y(j).
(j - 24)*(j - 4)/4
Let j(h) = h + 31. Let b be j(0). Suppose 0 = 4*y - 1 - b. Factor u**4 + 26*u**3 + y*u + 147*u**5 - 145*u**5 + 11*u**4 + 24*u**2.
2*u*(u + 1)**2*(u + 2)**2
Suppose 6*j = -0*j - 498. Let p = j + 87. Factor 3/2 - 6*g**3 - 6*g + 9*g**2 + 3/2*g**p.
3*(g - 1)**4/2
Let y(k) be the first derivative of -k**5/60 + k**4/12 - k**3/6 - 31*k**2/2 - 18. Let d(h) be the second derivative of y(h). Factor d(j).
-(j - 1)**2
Let l(a) = -4*a**2 - 8*a - 1. Let v be l(-1). Let k(f) be the first derivative of 15/2*f**4 - 14/3*f**v + 0*f + f**2 + 3 - 18/5*f**5. Factor k(w).
-2*w*(w - 1)*(3*w - 1)**2
Let w(o) be the third derivative of 0 + 7/20*o**5 + 0*o - 11/70*o**7 + 7/4*o**4 - 5*o**2 - 23/80*o**6 - 5/224*o**8 + 2*o**3. Let w(f) = 0. Calculate f.
-2, -1, -2/5, 1
Let t(c) = 2*c**2 + 6*c - 54. Let m be t(4). Let b(q) be the first derivative of 2/5*q + 2/15*q**3 - 2/5*q**m + 1. Solve b(i) = 0 for i.
1
Let h = 6/641 + 1228/5769. Solve -2/9*j**2 + 2/9*j - 2/9*j**3 + h = 0.
-1, 1
Let j(x) = -5*x**2 + 3*x - 4. Let g(t) = -14*t**2 + 7*t - 12. Let l(k) = -4*g(k) + 11*j(k). Factor l(v).
(v + 1)*(v + 4)
Let z be (-8 + 294/35)*(-11 - -1). Let r be 5/(-11 - -6) - z. What is d in 4/7 - 8/7*d**5 + 20/7*d**2 + 18/7*d - 24/7*d**4 - 10/7*d**r = 0?
-2, -1, -1/2, 1
Let o(u) be the second derivative of -u**4/48 + 11*u**3/4 + 67*u**2/8 - u. Factor o(z).
-(z - 67)*(z + 1)/4
Factor 0*g**2 + 45*g - 2*g**2 + 38 - 3*g**2 + 12.
-5*(g - 10)*(g + 1)
Let p(f) = f**2 - 11*f + 3. Let r be p(11). Let j**3 - 4*j**5 - 3*j**4 + 5*j**r + 3*j**5 - 2*j**5 = 0. Calculate j.
-2, 0, 1
Factor 4 + 20/7*j**2 + 46/7*j + 2/7*j**3.
2*(j + 1)*(j + 2)*(j + 7)/7
Let a(i) = -4*i - 30. Suppose 0 = -4*c - 5*w - 32, -4 = 5*c + 5*w + 36. Let s be a(c). Factor 0*u + 0*u**s + 2/9*u**3 + 0.
2*u**3/9
Let o be 12 + 12/(-22) + 1352/(-143) + 2. Factor 0 - o*n + 2/3*n**2.
2*n*(n - 6)/3
Let q(j) be the second derivative of 0*j**2 + 0 + 0*j**4 - 2*j + 0*j**3 - 2/105*j**7 - 1/50*j**5 + 1/25*j**6. Factor q(i).
-2*i**3*(i - 1)*(2*i - 1)/5
Let p(h) be the second derivative of h**4/48 + h**3/4 - 432*h. Factor p(k).
k*(k + 6)/4
Let b(j) = j**5 + 4*j**4 + 4*j**2 - 4. Let x(n) = 5*n**2 - 5 + 5*n**4 + 3*n**4 - 3*n**4 + 2*n**5. Let o(k) = -5*b(k) + 4*x(k). Factor o(q).
3*q**5
Factor -q + 1/2 + 1/2*q**2.
(q - 1)**2/2
Let q(f) = -f + 3. Let d = 6 - 6. Let c be q(d). Factor 10*k - k - 14 + 8 - c*k**3.
-3*(k - 1)**2*(k + 2)
Let u(j) be the second derivative of -6*j - 5/9*j**4 + 0 - 16/9*j**3 - 2*j**2. Solve u(o) = 0 for o.
-1, -3/5
Let r = 5 + -5. Let o = 21/13 - -38/65. Factor -2/5*y**2 + r - o*y**4 + 0*y - 13/5*y**3.
-y**2*(y + 1)*(11*y + 2)/5
Let u(x) = 74*x**2 + 4*x - 3. Let c be u(1). Find q, given that 123 + 12*q**2 - 56*q - c + 6*q**3 - 2*q**4 + 0*q**4 = 0.
-3, 2
Let r(c) be the first derivative of -c**6/900 - c**5/60 - c**4/15 + 20*c**3/3 - 5. Let p(j) be the third derivative of r(j). Factor p(x).
-2*(x + 1)*(x + 4)/5
Let i = -47 - -41. Let b(g) = 11*g**2 + 20*g + 14. Let v(m) = -21*m**2 - 40*m - 29. Let j(y) = i*v(y) - 11*b(y). Find a such that j(a) = 0.
-2
Let p be 868/4422 - ((-20)/(-6) + -3). Let k = 3/67 - p. Factor -6/11*i**2 - 6/11*i - 2/11*i**3 - k.
-2*(i + 1)**3/11
Let i(c) be the first derivative of c**6/2 + 27*c**5/5 + 18*c**4 + 20*c**3 - 542. Suppose i(z) = 0. What is z?
-5, -2, 0
Let j(f) = -10*f**2 - 8*f - 7. Let q(y) = 4*y**2 + 4*y + 4. Let x(v) = 4*j(v) + 9*q(v). Factor x(m).
-4*(m - 2)*(m + 1)
Let p(c) be the second derivative of c**7/1260 + c**6/18 + 5*c**5/3 - 13*c**4/6 - 8*c. Let u(i) be the third derivative of p(i). Determine z so that u(z) = 0.
-10
Let k(j) be the third derivative of -j**5/15 + 2*j**4/3 - 8*j**3/3 - 185*j**2. Factor k(m).
-4*(m - 2)**2
Suppose 5*q = -2*m - 26, -4*m = -5*m - 3*q - 16. Let -7/6*g - 2/3 - 1/3*g**m + 1/6*g**3 = 0. Calculate g.
-1, 4
Suppose 4*y = 5*y - 185. Find u, given that -170*u**3 + 15 + 1 - y*u**2 - 45*u**4 - 40*u + 4 = 0.
-2, -1, 2/9
Let 24 + 4/3*z**2 + 12*z = 0. Calculate z.
-6, -3
Let n(c) be the third derivative of -c**5/48 - 185*c**4/96 - 55*c**3/2 + 308*c**2. Factor n(q).
-5*(q + 4)*(q + 33)/4
Suppose 15 = 3*u + 3. Suppose s = f + 8, u*s + f + f = 2. Factor -12*q**2 - 8*q + 16/3 - 10/3*q**s.
-2*(q + 2)**2*(5*q - 2)/3
Let k be ((-4)/3 + 1)/(11/(-66)). Let g be 4/6 + 14/6. Find c, given that 6*c + 3*c**2 - g*c**k - 3*c**4 + 3*c**2 - 2*c**3 - 4*c**3 = 0.
-2, -1, 0, 1
Suppose 4*m**4 + 12/7*m**3 - 12/7*m + 16/7 - 44/7*m**2 = 0. What is m?
-1, 4/7, 1
Let t(q) be the third derivative of -31/40*q**6 - 17/70*q**7 + q + 0*q**3 - 3/4*q**4 - 3/112*q**8 + 2*q**2 - 23/20*q**5 + 0. Determine y so that t(y) = 0.
-3, -1, -2/3, 0
Let i be (85 + -1)/(-7)*1/(-3). Let k(l)