8. Let 0 - m + z*m**2 = 0. Calculate m.
0, 4
Let f = -712 - -811. Suppose -f*s + 95*s = -5*z - 16, 3*s - 12 = 2*z. Determine x, given that -x**5 + 2/3*x + 11/3*x**4 - 11/3*x**3 + 1/3*x**2 + z = 0.
-1/3, 0, 1, 2
Let s(l) = l**5 - 2*l**4 - l**3 + l**2 + 1. Let k(n) = -4*n**5 + 16*n**4 - 22*n**3 - 3*n**2 - 3. Let r(a) = -k(a) - 3*s(a). Factor r(c).
c**3*(c - 5)**2
Let g(t) = -175*t**2 - 11095*t + 11090. Let v(z) = -47*z**2 - 2774*z + 2773. Let m(c) = -4*g(c) + 15*v(c). Suppose m(n) = 0. Calculate n.
1, 553
Let o(h) be the first derivative of 4*h**3/3 - 1174*h**2 - 2352*h - 1843. Factor o(z).
4*(z - 588)*(z + 1)
What is g in 0*g + 2/3*g**5 + 136/3*g**3 - 50/3*g**4 + 0 - 88/3*g**2 = 0?
0, 1, 2, 22
Determine j, given that -6*j - 70*j**3 - 36*j - 835*j**2 - 6*j**4 - 163 + 1133*j**2 - 17 = 0.
-15, -2/3, 1, 3
Let g(l) be the third derivative of 5/12*l**6 + 0 + 35/6*l**3 + 179*l**2 + 2*l**5 + 0*l + 1/42*l**7 + 55/12*l**4. Factor g(h).
5*(h + 1)**3*(h + 7)
Let u(g) = 7*g**4 - g**3 + 3*g**2 - 7*g - 2. Let v(m) be the first derivative of -m**5/5 + m**2/2 - 78. Let p(o) = 3*u(o) + 24*v(o). Factor p(d).
-3*(d - 1)**2*(d + 1)*(d + 2)
Let a be 4/(-12) - 2/(-2). Let l be (4 - 57/18)/((-145)/(-116)). Find o, given that -4/3*o + l*o**2 + a = 0.
1
Let f(q) be the second derivative of -31*q + 0 - 4/45*q**3 - 1/225*q**6 + 1/50*q**5 + 0*q**4 + 0*q**2. Factor f(m).
-2*m*(m - 2)**2*(m + 1)/15
Let f(m) = -m**2 - 73*m. Let k be f(-26). Let u = k - 6101/5. Let 0 - 1/5*l - 16/5*l**4 - u*l**2 - 24/5*l**3 = 0. What is l?
-1, -1/4, 0
Let y = 1368/5 - 5467/20. Let x(d) be the second derivative of 5/2*d**3 + y*d**4 + 2*d + 6*d**2 + 0. Factor x(c).
3*(c + 1)*(c + 4)
Let i(m) be the third derivative of 4/75*m**5 + 1/10*m**4 + 0*m + 0 + 16*m**2 + 7/600*m**6 + 1/1050*m**7 + 0*m**3. Find d, given that i(d) = 0.
-3, -2, 0
Let i(r) be the first derivative of -3*r**5/5 + 5*r**4/2 + 65*r**3/3 + 40*r**2 + 28*r - 1553. Let i(c) = 0. What is c?
-2, -1, -2/3, 7
Let b(p) = p**3 + 2540*p**2 - 5074*p + 2536. Let n(y) = -3*y**3. Let c(a) = b(a) + n(a). Solve c(d) = 0 for d.
1, 1268
Let b(o) be the second derivative of o**4/78 + 109*o**3/39 + 40*o**2 - 2*o + 473. Factor b(w).
2*(w + 5)*(w + 104)/13
Let i = 1882/13 - -90534/65. Factor i - 242/5*c**4 + 22322/5*c**2 - 22816/5*c - 2/5*c**5 - 1390*c**3.
-2*(c - 1)**3*(c + 62)**2/5
Let h(t) be the second derivative of 8*t - 13/2*t**2 - 3/8*t**4 - 2*t**3 + 0 + 1/20*t**5. Let a(r) be the first derivative of h(r). Factor a(l).
3*(l - 4)*(l + 1)
Factor -32*d - 1/3*d**2 + 99.
-(d - 3)*(d + 99)/3
Let a(x) = -2*x**2 - 7*x - 11. Let r(t) = -6*t**2 - 580 - 4*t + 5*t**2 + 574. Let u be (-4 + 3)/(1/5). Let s(q) = u*r(q) + 2*a(q). Find b such that s(b) = 0.
-4, -2
Let h(o) be the third derivative of 3*o**3 + 1093/120*o**5 - 91/12*o**4 - 35*o**2 + 27/140*o**7 - 141/40*o**6 + 0*o + 0. Find b, given that h(b) = 0.
2/9, 1, 9
Let s(r) be the second derivative of -r**7/168 - 3*r**6/40 + 37*r**5/80 + 3*r**4/16 - 3*r**3/2 + 14*r + 17. Suppose s(h) = 0. Calculate h.
-12, -1, 0, 1, 3
Let g(o) = 1442*o**2 - 722*o**2 - 722*o**2 + 6 - 7*o + 13. Let m be g(-5). Solve -2/5*a**3 + 1/5*a**5 + 0 + 0*a + 0*a**2 + 1/5*a**m = 0.
-2, 0, 1
Let w be (-15)/(-9) + (-10363)/(-3). Let -w*r**2 - 4*r**4 + 20053*r + 7595*r + 7057 + 192*r**3 - 90001 = 0. What is r?
12
Let t = 98 - 63. Let k = 24 + t. Suppose -k*h**2 - 14 + 6 - 5*h + 33*h + 4 + 35*h**3 = 0. What is h?
2/7, 2/5, 1
Let y(n) be the first derivative of -n**6/540 + 19*n**5/90 - 361*n**4/36 + 20*n**3 + n - 123. Let l(m) be the third derivative of y(m). What is f in l(f) = 0?
19
Let h(a) = -5*a**2 - 2874*a + 88. Let d(w) = -2*w**2 + 22. Let q(m) = 4*d(m) - h(m). Suppose q(c) = 0. What is c?
0, 958
Let u = -51 - -59. Suppose u*n + 40 = 13*n. Let -2 - 23*d**2 - n + 15*d**3 + 43*d**2 - 23*d - 2*d = 0. Calculate d.
-2, -1/3, 1
Let j = -40 + 43. Factor a**2 + 14*a**2 + 5*a**j - 17*a + 27*a.
5*a*(a + 1)*(a + 2)
Let l(h) = 5*h**2 + 35*h - 5. Let a(m) = -m**3 + m**2 + m + 1. Suppose -11*s = -10*s + 1. Let q(g) = s*l(g) - 5*a(g). Factor q(p).
5*p*(p - 4)*(p + 2)
Let a(o) = o**3 + 22*o**2 - 24*o - 5. Let b be a(-23). Factor 22*l**2 + 18*l**4 - b*l**2 - 6*l**2 + 30*l - 7*l**2 - 39*l**3.
3*l*(l - 2)*(l - 1)*(6*l + 5)
Suppose -2*c + a = -a - 2, -2*c = 2*a - 10. Suppose 35 = c*u + 29. Let 6*f**2 - 18*f**u + 5*f + 4*f**4 + 3*f = 0. What is f?
-2, 0, 1
Suppose -4*p + 293 = 2713. Let v = p + 608. Determine m so that 1/8*m**4 + 0 + 5/8*m**2 - 1/2*m**v - 1/4*m = 0.
0, 1, 2
Let a = -997 - -3055/3. Let m be 11/24 - 4053/(-4632). Suppose -32/3*j - a - m*j**2 = 0. What is j?
-4
Let o = -6614080/3 - -2204694. Solve o*l**2 + 26/3*l + 80/3 = 0.
-8, -5
Determine d so that -126/5*d**2 - 2/5*d**3 + 0*d + 0 = 0.
-63, 0
Suppose 1536 = -0*k + 64*k. Let p be (-325)/(-78)*k/45. Factor -p + 2/9*t**2 - 2*t.
2*(t - 10)*(t + 1)/9
Let h(o) be the first derivative of -3/2*o - 1/6*o**3 + 2/5*o**5 + 1/24*o**6 + 3/4*o**4 + 82 - 13/8*o**2. Suppose h(x) = 0. Calculate x.
-6, -1, 1
Let u = 2271/2 + -3406/3. Let o(f) be the first derivative of 0*f**2 - 1/10*f**5 + 0*f + 0*f**4 + 9 + u*f**3. Solve o(l) = 0.
-1, 0, 1
Let y(u) = -u**3 + 2*u**2 + 9*u - 3. Let v be y(4). Let k(h) = 2*h**3 + 2*h**2 - 3*h + 2. Let g be k(v). Solve 3*n**2 - 2149 + g*n + 2149 = 0.
-1, 0
Let t be 10 - 376/48 - (-15)/(-9). Let q(j) be the first derivative of t*j + 1/12*j**3 + 17 - 3/8*j**2. Factor q(b).
(b - 2)*(b - 1)/4
Let f = 60173/90165 - 21/30055. Suppose 0*n + f*n**4 - 172/3*n**3 + 0 + 3698/3*n**2 = 0. Calculate n.
0, 43
Let p(w) be the second derivative of 98*w - 2/3*w**3 + 9/20*w**5 - 1/30*w**6 - 2 + 12*w**2 - 3/2*w**4. Determine r so that p(r) = 0.
-1, 2, 6
Let l(o) be the first derivative of -12/25*o**5 - 81 - 17/5*o**3 - 9/5*o**2 - 9/4*o**4 + 0*o. Suppose l(t) = 0. What is t?
-2, -1, -3/4, 0
Let w(x) be the second derivative of 3/20*x**5 - 29 - 13/24*x**4 - 1/60*x**6 + x + x**3 - x**2. Factor w(b).
-(b - 2)**2*(b - 1)**2/2
Let o = -165 - -165. Let z(d) be the third derivative of o - 17*d**2 + 0*d - 8/3*d**3 - 1/5*d**5 - 4/3*d**4. Factor z(y).
-4*(y + 2)*(3*y + 2)
Let t(j) be the second derivative of 3*j**5/70 + 34*j**4/7 + 381*j**3/7 + 1674*j**2/7 + 74*j + 55. Factor t(m).
6*(m + 3)**2*(m + 62)/7
Let g be (15 + 156/(-8))/((-81)/36). What is z in -1/8*z**3 - 2*z + 7/8*z**g + 3/2 = 0?
2, 3
Let h(f) = 9*f**2 + 855*f + 2. Let d be h(-95). Suppose -6*a = -a. Factor a*u + 0 + 2/3*u**3 + 2/3*u**d.
2*u**2*(u + 1)/3
Suppose 6*v - a = 41 - 20, -2*v = -2*a - 12. Suppose 46/13*f - 2*f**2 + 2/13*f**v - 22/13 = 0. What is f?
1, 11
What is j in 272*j - 68*j**4 + 52*j**3 + 192*j**2 + 93*j**4 + 128 - 21*j**4 = 0?
-8, -2, -1
Suppose -10 = 1053*d - 1058*d. Let c be (-180)/810 - d*(-20)/18. Solve 3/4*u + 9/4 - 9/4*u**c - 3/4*u**3 = 0 for u.
-3, -1, 1
Let b(p) be the second derivative of -p**7/6 - p**6/15 + 217*p**5/20 + 68*p**4/3 + 10*p**3 - 34*p - 9. Determine x, given that b(x) = 0.
-5, -1, -2/7, 0, 6
Suppose a - 4 = 5*a, -3*h + 9 = 3*a. Suppose -h*x + x = -93. Factor -x*q + 31*q - 5*q**2.
-5*q**2
Let c be (-156)/(-9) + (16 - (-13 + 38)). Let q(k) be the second derivative of c*k**4 + 80/3*k**3 + 7*k + 32*k**2 + 0. Factor q(g).
4*(5*g + 4)**2
Let f(g) = -9*g**2 - 74*g - 16. Let y be f(-8). Let p be y/(-2) + 20/5. Let -7/8*z**2 - 1/4*z + 0 + 5/8*z**3 + 1/2*z**p = 0. What is z?
-2, -1/4, 0, 1
Let h(x) = x**4 + x**3 + x**2. Let g(m) = -19*m**4 - 3284*m**3 + 4651*m**2 - 1330*m. Let d(p) = -g(p) + 6*h(p). Find z such that d(z) = 0.
-133, 0, 2/5, 1
Factor -279*g - 52 - 217 + g**3 + 136*g**2 - 145.
(g - 3)*(g + 1)*(g + 138)
Let c(m) be the first derivative of m**4/14 + 2*m**3/3 - 2*m**2 - 96*m/7 + 1381. Determine a so that c(a) = 0.
-8, -2, 3
Let j = 315875/947616 - 1/315872. Determine i so that 0*i + 0 - j*i**3 - 1/3*i**2 = 0.
-1, 0
Suppose 30*v - 969*v**2 + 1863*v**2 - 869*v**2 - 5*v**5 - 25*v**3 - 25*v**4 = 0. Calculate v.
-3, -2, -1, 0, 1
Let a = 196 + -188. Suppose -8*s**2 - 2*s + 1 + a + 8*s - s**4 - 6*s**3 = 0. Calculate s.
-3, -1, 1
Let l(r) be the third derivative of -81*r**8/112 + 828*r**7/35 - 10201*r**6/40 + 8707*r**5/10 - 1575*r**4/2 + 324*r**3 - 794*r**2. Let l(a) = 0. Calculate a.
2/9, 2, 9
Let l = -37505541/21850 - -8/10925. Let q = l - -1717. Factor -q*w**3 + 1/2*w**2 + 5/2*w + 3/2.
-(w - 3)*(w + 1)**2