11. Factor -96 - 2387*x**3 + 2654*x**u - 4240*x**2 - 2500*x**5 - 10404*x**4 - 6013*x**o - 1024*x.
-2*(2*x + 3)*(5*x + 2)**4
Let k(f) = f**2 + 8*f + 10. Let x be k(-8). Let g = 13 - x. Factor 0*o**2 + o**3 + 4*o**2 - g*o**2.
o**2*(o + 1)
Factor 10/9*n + 2/9*n**2 + 8/9.
2*(n + 1)*(n + 4)/9
Suppose f - 216 = -5*f. Suppose 0 = -6*q + f. Factor 4*t**5 - 2*t - t**5 + 4*t + t - q*t**3.
3*t*(t - 1)**2*(t + 1)**2
Let n(p) = -92*p**2 - 40*p + 28. Let o(f) be the third derivative of -61*f**5/60 - 9*f**4/8 + 19*f**3/6 - 26*f**2. Let u(c) = -5*n(c) + 8*o(c). Factor u(g).
-4*(g + 1)*(7*g - 3)
Let o(n) = -n - 3. Let u = 1 - 6. Let v be o(u). Find h, given that 9*h**v + 2*h**3 - h**5 - 2*h**4 + 2 - h**2 + 7*h + 0*h = 0.
-1, 2
Let r(b) be the second derivative of b**4/78 + 4*b**3/13 + 20*b**2/13 - 144*b. Factor r(m).
2*(m + 2)*(m + 10)/13
Suppose 10*d - 40 = 2*d. Factor 10*o - d + 1 + 14*o**3 - 4*o**2 - 2*o**5 - 22*o**3 + 8*o**4.
-2*(o - 2)*(o - 1)**3*(o + 1)
Let f(y) be the third derivative of y**8/896 + 13*y**7/840 + 17*y**6/480 - y**5/40 - 37*y**4/192 - 7*y**3/24 - 2*y**2 + 19. Suppose f(u) = 0. Calculate u.
-7, -1, -2/3, 1
Let l = 1/321 + 943/6420. Let c(h) be the second derivative of -4*h + 1/2*h**3 + 1/4*h**4 - 1/10*h**6 + 0 + 0*h**2 - l*h**5. Determine w so that c(w) = 0.
-1, 0, 1
Let c be (4/(-16))/(-4*(-11)/(-220)). Solve n**3 + 0 + c*n**2 + 1/4*n = 0 for n.
-1, -1/4, 0
Let q(y) be the third derivative of -3*y**5/20 - 5*y**4/24 + y**2 + 49*y. Factor q(j).
-j*(9*j + 5)
Suppose 0 = 3*t - 9, 9 = p - 6*p + 3*t. Let s be 3/(-6) + 4/8. Let s + 0*b - 8/5*b**5 - 2/5*b**2 + 6/5*b**3 + p*b**4 = 0. Calculate b.
-1, 0, 1/2
Suppose 9*g - 37 + 19 = 0. Let f(q) = q - 3. Let m be f(5). Suppose w**5 - 2*w - 16*w**2 - m*w**3 + w**4 + 11*w**g - w**3 = 0. Calculate w.
-1, 0, 2
Let j(f) = 48*f**3 + 5*f - 14*f**3 - 16*f**3 - 17*f**3 + 2 + 6*f**2. Let u be j(-5). Factor 0*m**u + 4/7*m**5 + 0 + 8/7*m**4 + 0*m + 4/7*m**3.
4*m**3*(m + 1)**2/7
Find j such that -679*j**2 + 15 + 17*j + 1351*j**2 - 5*j - 675*j**2 = 0.
-1, 5
Let h(b) = 3*b**4 + 34*b**3 + 47*b**2 + 12*b. Let n(q) = 24*q**4 + 273*q**3 + 375*q**2 + 93*q. Let m(z) = 33*h(z) - 4*n(z). Find t such that m(t) = 0.
-8, -1, 0
Suppose -48 = -21*f - 16*f + 13*f. Solve 1 - 7/10*c + 1/10*c**f = 0 for c.
2, 5
Let n(b) = b**3 + 15*b**2. Let s be n(-15). Suppose s = 12*f + 5*f. What is a in 4/7*a + f - 2/7*a**2 = 0?
0, 2
Determine b so that 11/2*b + 35/4*b**2 + 3/4*b**3 + 0 - 1/4*b**5 - 11/4*b**4 = 0.
-11, -1, 0, 2
Factor -24/5 - 34/5*v + 1/5*v**3 - 9/5*v**2.
(v - 12)*(v + 1)*(v + 2)/5
Let m(p) = 3*p**2 - 212*p + 3888. Let w(s) = 21*s**2 - 1485*s + 27216. Let f(b) = 27*m(b) - 4*w(b). Solve f(z) = 0 for z.
36
Let c(z) be the third derivative of 0*z + 1/12*z**7 + 0*z**3 - 17*z**2 + 5/24*z**4 - 1/8*z**5 + 0 - 1/16*z**6 - 5/224*z**8. Let c(s) = 0. Calculate s.
-2/3, 0, 1
Let q(v) be the first derivative of -5*v**4/12 - 10*v**3/9 + 30*v**2 + 120*v + 396. Suppose q(h) = 0. Calculate h.
-6, -2, 6
Suppose 8*x + 3*x - 33 = 0. Let j(i) be the first derivative of -2 - 3/5*i**4 - 1/5*i**2 - 1/15*i**6 + 0*i - 8/25*i**5 - 8/15*i**x. What is v in j(v) = 0?
-1, 0
Let h(n) be the third derivative of n**5/210 + 17*n**4/28 + 50*n**3/21 + 548*n**2. Let h(j) = 0. Calculate j.
-50, -1
Factor 6/7*g**3 + 8/7*g**2 - 2/7*g**5 - 4/7*g**4 + 0 - 8/7*g.
-2*g*(g - 1)**2*(g + 2)**2/7
Factor -26/7*j**2 - 120/7*j - 2/7*j**4 + 20/7*j**3 - 72/7.
-2*(j - 6)**2*(j + 1)**2/7
Let m(d) be the second derivative of -3/20*d**5 + 0 - 3*d**2 + 1/2*d**3 + 23*d + 1/2*d**4. Find k, given that m(k) = 0.
-1, 1, 2
Let m(q) be the third derivative of 0*q**4 + 0*q + 0 - 1/60*q**6 + 0*q**5 + 17*q**2 + 1/105*q**7 + 0*q**3. Solve m(d) = 0 for d.
0, 1
Suppose 4*r = -4*x - x + 63, -21 = -x + 2*r. Let a = x + -13. Let -4*f**2 + 3*f**4 - 4*f**4 + 7*f**4 - a*f**3 = 0. What is f?
-2/3, 0, 1
Let n = 1905 + -3807/2. Factor 0*o**2 + 0 + 3/2*o**5 + n*o**3 - 3*o**4 + 0*o.
3*o**3*(o - 1)**2/2
Let s(g) be the second derivative of -3*g**5/5 + 32*g**4/3 - 40*g**3/3 - 29*g - 2. Let s(m) = 0. What is m?
0, 2/3, 10
Let f(k) be the first derivative of 5/2*k**2 + 23 - 5/3*k**3 + 30*k. Factor f(j).
-5*(j - 3)*(j + 2)
Let a(n) = -n**4 + 3*n**3 - n**2 + n. Let r(k) = 8*k**4 - 18*k**3 - 70*k**2 + 138*k - 70. Let b(j) = -6*a(j) - r(j). Let b(u) = 0. Calculate u.
-7, 1, 5
Let a(o) = -o - 1. Let q(r) = 5*r**2 + 4*r. Let p(v) = 3*a(v) + q(v). Let y be p(1). Determine m, given that -231/5*m**2 + 147/5*m**y + 96/5*m - 12/5 = 0.
2/7, 1
Let k be -5 - (112/(-252) + (-59)/9). Find b, given that -b - 3/4 - 1/4*b**k = 0.
-3, -1
Let p(v) = 5*v**2 + 16*v + 7. Let y(z) = 4*z**2 + 15*z + 8. Let f(r) = -3*p(r) + 4*y(r). Let f(i) = 0. Calculate i.
-11, -1
Let v(c) be the third derivative of -1/30*c**5 - 18*c**2 + 0*c**3 + 0 + 0*c**4 + 0*c. Determine x so that v(x) = 0.
0
Factor -2/21*n**2 - 22/21*n + 0.
-2*n*(n + 11)/21
Let y(p) = 3*p**4 + 12*p**3 - 30*p**2 - 114*p - 87. Let i(x) = 3*x**4 + 12*x**3 - 28*x**2 - 113*x - 86. Let g(j) = -6*i(j) + 5*y(j). Find n such that g(n) = 0.
-3, -1, 3
Factor 1/3*s**3 + 8321*s - 105*s**2 - 24649/3.
(s - 157)**2*(s - 1)/3
Let z(i) be the third derivative of -1/2856*i**8 + 0*i - 1/1020*i**6 + 0 + 0*i**4 + 0*i**3 + 0*i**5 + 2/1785*i**7 - 12*i**2. Factor z(f).
-2*f**3*(f - 1)**2/17
Let u = -18339 - -128469/7. Find v, given that u*v**2 + 16/7*v + 0 + 184/7*v**3 + 120/7*v**4 + 25/7*v**5 = 0.
-2, -2/5, 0
Factor 1 + 3*o**2 - o**3 + 5 + 1 - 2*o - 7.
-o*(o - 2)*(o - 1)
Let i(h) be the first derivative of -h**4/4 - 2*h**3 - 11*h**2/2 - 6*h + 115. Factor i(m).
-(m + 1)*(m + 2)*(m + 3)
Suppose 0 = -2*i - p - 2*p - 156, 0 = -3*i - 5*p - 234. Let w be (-10)/65 + (-38)/i. Factor 0*z + 0 - w*z**3 + 2/3*z**2.
-z**2*(z - 2)/3
Let u(y) = 5*y**3 - y**2 + 23*y + 9. Let j(k) = -7*k**3 + 2*k**2 - 25*k - 9. Let h(c) = 4*j(c) + 5*u(c). Factor h(z).
-3*(z - 3)*(z + 1)**2
Let k(x) be the second derivative of 1/36*x**6 + 1/24*x**5 + 39*x + 0*x**3 - 5/36*x**4 + 0 + 0*x**2. Solve k(h) = 0 for h.
-2, 0, 1
Suppose 11*a - 8 = 7*a. Suppose 20 = 5*f - 0*h - 2*h, 0 = -3*f - h + 1. Determine i, given that -2*i**2 + a + i**f - 1 = 0.
-1, 1
Suppose -4*x**2 + 107*x**5 + 8*x**3 - 4*x**4 - 106*x**5 + 0*x**3 - x**4 = 0. Calculate x.
0, 1, 2
Let d = -72 - -75. What is x in 18*x + 68 - 7 - 34 + d*x**2 = 0?
-3
Let q(i) be the first derivative of 24*i**6 + 0*i**5 - 25*i**4 - 2*i**2 + 40/3*i**3 + 0*i - 14. Let q(o) = 0. Calculate o.
-1, 0, 1/6, 1/3, 1/2
Let s be 32/(-6)*6/(-22). Let x be 6/7*(-15)/(-1485)*63. Factor 8/11*i + x*i**3 + 0 - s*i**2.
2*i*(i - 2)*(3*i - 2)/11
Suppose f = 3*b - 23, 5*b = -2*f - 23 - 1. Let z = 20 + f. Find g, given that z*g + 5*g - 5*g**4 + 9*g**4 - 12*g**2 = 0.
-2, 0, 1
Let l(k) be the first derivative of -k**5/5 + 3*k**4/2 - 5*k**3/3 - 103. Let l(i) = 0. Calculate i.
0, 1, 5
Let z = -9419 + 9424. Determine n, given that 2/7*n**4 - 6/7*n**3 + 0 + 0*n - 2/7*n**2 + 6/7*n**z = 0.
-1, -1/3, 0, 1
Suppose -j - 3 = 0, 5*z - 6 = 2*j + 15. What is c in 5*c**2 + 5*c**2 - 3*c - 3*c**z - 16*c**2 = 0?
-1, 0
Let c(h) be the second derivative of -h**9/756 - h**8/210 - h**7/210 - 11*h**3/6 + h. Let d(t) be the second derivative of c(t). Factor d(q).
-4*q**3*(q + 1)**2
Let h(c) = -3*c**3 - 6*c**2 + 4*c. Let s(p) = -5*p**3 - 7*p**2 + 4*p. Let y(a) = 3*h(a) - 2*s(a). Factor y(r).
r*(r - 2)**2
Let u be 3*(24/(-9))/(-4). Factor -g**2 + 16*g**4 - 11*g**5 - 3*g**2 + g**5 - u*g**3.
-2*g**2*(g - 1)**2*(5*g + 2)
Determine a, given that -11/2 - a**2 - 23/2*a = 0.
-11, -1/2
Let j = 42 - 15. Factor -4*l**3 + j*l**4 + l**3 - 30*l**4.
-3*l**3*(l + 1)
Factor 0 + 8978/11*v + 268/11*v**2 + 2/11*v**3.
2*v*(v + 67)**2/11
Let z(q) be the second derivative of -q**9/4536 - q**8/3360 + q**7/1890 - q**4/6 - 3*q. Let a(k) be the third derivative of z(k). Factor a(m).
-2*m**2*(m + 1)*(5*m - 2)/3
Let l be 585/162 + 10/(-9). Suppose 0 = 5*x + 2*x - 14. Factor -1/6*j**3 - 3/2 - 7/6*j**x - l*j.
-(j + 1)*(j + 3)**2/6
Let s = 152/441 + -6/49. Let p(x) be the first derivative of 1/9*x**4 + 1/9*x**2 - 7 + 0*x - s*x**3. Find n, given that p(n) = 0.
0, 1/2, 1
Factor -4*z + 1/2*z**4 - 2 + z**3 - 3/2*z**2.
(z - 2)*(z + 1)**2*(z + 2)/2
Let c(a) be the second derivative of -9*a - 1/16*a**5 - a**2 + 1/120*a**6 + 1/6*a**3 + 1/8*a**4 + 0. Suppose c(p) = 0. What is p?
-