*u(m). Solve w(z) = 0.
-11, -5, 0
Suppose -402 = -12140*b - 12433*b + 24372*b. Factor 4/7*v**3 + b*v**4 + 0*v**2 + 0 + 0*v.
2*v**3*(7*v + 2)/7
Let u = -85 + 75. Let m be (80/15 - 5) + u/(-6). Factor 3/2 + 0*o - 3/2*o**m.
-3*(o - 1)*(o + 1)/2
Let a(g) be the second derivative of 1/3*g**3 - 6*g**2 + 22*g + 0 + 1/6*g**4. Solve a(n) = 0 for n.
-3, 2
Let v(j) be the second derivative of -j**5/30 - 2*j**4/9 - 4*j**3/9 + 29*j - 2. Factor v(x).
-2*x*(x + 2)**2/3
Let o(q) be the third derivative of q**7/2240 - q**6/120 + q**5/20 - 3*q**3 - 3*q**2 - 1. Let n(h) be the first derivative of o(h). Factor n(y).
3*y*(y - 4)**2/8
What is p in -2248*p**3 - 2644*p - 2241*p**3 - 844*p**2 - 1804*p**2 + 4485*p**3 = 0?
-661, -1, 0
Suppose -70/9*g**2 + 8/9*g + 14/9*g**4 - 10/9*g**3 + 56/9 + 2/9*g**5 = 0. What is g?
-7, -2, -1, 1, 2
Factor -876/7 + 158/7*g - 2/7*g**2.
-2*(g - 73)*(g - 6)/7
What is y in 14/5*y**2 + 234/5 - 138/5*y + 2/5*y**3 = 0?
-13, 3
Let j(y) be the second derivative of 6/7*y**2 - 13/70*y**5 - 1/35*y**6 + 5/21*y**3 + 6 - 11/42*y**4 - 6*y. Solve j(u) = 0.
-3, -1, 2/3
Suppose -p - 3 = -3*r, 0*r - 3 = 3*r - 3*p. Let a(i) = -8*i**2 + 115*i + 42. Let k(t) = 7*t**2 - 116*t - 44. Let n(c) = r*a(c) + 3*k(c). Factor n(f).
(f - 24)*(5*f + 2)
Let r(o) be the third derivative of -o**8/960 - o**7/1260 - o**4/24 - 4*o**3 - 25*o**2. Let h(i) be the second derivative of r(i). Factor h(g).
-g**2*(7*g + 2)
Let o(v) = 24*v**5 + 111*v**4 + 263*v**3 + 56*v**2 + 8. Let i(c) = 3*c**5 - c**3 - c**2 + 2. Let m(w) = -4*i(w) + o(w). Solve m(y) = 0 for y.
-5, -4, -1/4, 0
Let l(r) be the first derivative of -2*r**3/15 - 4*r**2/5 + 3472. Factor l(h).
-2*h*(h + 4)/5
Let m(c) = -2167*c - 12998. Let w be m(-6). Suppose -9/4*u**5 - 6*u + 3 + 33/4*u**3 - 9/4*u**2 - 3/4*u**w = 0. Calculate u.
-2, -1, 2/3, 1
Let f be ((-2)/5 + (-6)/(-5))*((-24165)/(-180))/179. Suppose -6/5 - 3/5*y + f*y**2 = 0. Calculate y.
-1, 2
Let u(z) = -2*z**3 - 145*z**2 - 214*z - 69. Let p be u(-71). Let n(w) be the first derivative of -4/5*w - w**p - 1/10*w**4 - 8/15*w**3 + 36. Factor n(m).
-2*(m + 1)**2*(m + 2)/5
Let c(o) be the second derivative of o**7/14 - 71*o**6/10 + 1197*o**5/20 - 585*o**4/4 - 1363*o. Determine x so that c(x) = 0.
0, 3, 65
Let j = 3221877 - 41787065/13. Suppose -184/13*g**3 - 6348/13*g**2 - j*g - 559682/13 - 2/13*g**4 = 0. What is g?
-23
Let f(m) = -685*m**2 - 6720*m + 10. Let n(c) = -c**3 - 1712*c**2 - 16800*c + 24. Let o(j) = -12*f(j) + 5*n(j). Factor o(r).
-5*r*(r + 12)*(r + 56)
Let m(f) = -4*f**2 + 10*f - 95. Let b be m(15). Let c = -842 - b. Let 3/2*o**c + 1/4*o**4 + 0 + 3*o**2 + 2*o = 0. What is o?
-2, 0
Suppose 16*t - 1033 = 71. Let s be 8/1 - t/9. Factor 1/3*c**4 + 0 - 2/3*c**3 + 0*c + s*c**2.
c**2*(c - 1)**2/3
Let v be (-3*(-1)/3)/(41 - -29). Let p(j) be the second derivative of -1/105*j**6 + 0*j**2 - v*j**5 + 0*j**4 + 0*j**3 + 5*j + 0. Suppose p(m) = 0. What is m?
-1, 0
Let o(y) = 2*y**2 + y - 1. Let v be o(1). Suppose v*r = s + 8, 3*r = 5 + 10. Factor 2*h - 1 - 7*h + 16*h**5 + 87*h**2 - 82*h**s + 25*h**3 - 40*h**4.
(h - 1)**3*(4*h + 1)**2
Let d(x) be the second derivative of 2*x**7/3 + 22*x**6/5 + 18*x**5/5 - 8*x**4/3 + 11*x + 120. Find r such that d(r) = 0.
-4, -1, 0, 2/7
Let l(z) = -z**2 + 28*z - 133. Let x be l(6). Let f be 14 + -9 + x + -1. Factor 0 - 2/3*r**f - 50/3*r + 20/3*r**2.
-2*r*(r - 5)**2/3
Let v(u) be the third derivative of 0*u - 1/160*u**6 + 0 - 1/2*u**5 - 361/4*u**3 - 305*u**2 - 437/32*u**4. Determine x, given that v(x) = 0.
-19, -2
Let w be (15/2)/3*(-85)/((-1700)/1). Let o(l) be the first derivative of 1/18*l**3 - w*l**4 + 1/30*l**5 - 1/3*l + 1/4*l**2 - 29. Factor o(j).
(j - 2)*(j - 1)**2*(j + 1)/6
Suppose 0 = 132*x + 136*x - 57*x + 107*x. Let g = -6 - -8. Solve 0*s**g + x*s + 0 + 1/4*s**3 = 0 for s.
0
Factor 1/7*j**4 + 37633/7*j**2 + 390/7*j**3 - 10920*j + 5488.
(j - 1)**2*(j + 196)**2/7
Let r(p) = -7 + 4*p**2 + p**3 - 2*p - 3*p**2 + p**2 + 3*p**2. Let m be r(-5). Solve 1 - 2*i + i**2 - i + 3*i**m - 6*i**4 - 3 + 7*i**4 = 0.
-2, -1, 1
Let y(i) be the second derivative of i**6/120 - 93*i**5/20 - i**4/16 + 559*i**3/12 - 93*i**2 + 3870*i - 1. Factor y(l).
(l - 372)*(l - 1)**2*(l + 2)/4
Suppose 5416 = -1731*m + 10609. Factor -25/4 + 45/2*d + 39/4*d**2 + d**m.
(d + 5)**2*(4*d - 1)/4
Let x be (-13 - -13) + 4/(-8)*-4. Let i = -1831 - -7325/4. Find n such that 0 + i*n**4 - 1/2*n**x + 0*n + 1/4*n**3 = 0.
-2, 0, 1
Let i(x) = -56*x**2 + 49324*x - 30455120. Let j(c) = -23*c**2 + 19729*c - 12182048. Let o(a) = -5*i(a) + 12*j(a). Solve o(d) = 0.
1234
Let b(j) be the first derivative of -j**6/36 + 31*j**5/30 + 23*j**4/8 - 11*j**3/2 - 2999. Find y, given that b(y) = 0.
-3, 0, 1, 33
Factor -6*a - 3/8*a**2 - 18.
-3*(a + 4)*(a + 12)/8
Let w = 34/99 + -4144/14949. Let j = 121/453 + w. Let 2/9*t + j*t**2 + 0*t**3 - 1/9*t**4 + 0 = 0. Calculate t.
-1, 0, 2
Let v = -95 - -97. Suppose 5*a + 8 = -5*o + 23, v*a + o - 7 = 0. Factor -5*j**4 - 2*j**3 + 15*j**2 - a*j + 17 - 21 + 0*j.
-(j - 1)**2*(j + 2)*(5*j + 2)
Let z = 14 - 15. Let j be (-2)/z + (-4)/28*0. What is n in -j*n + 5*n**3 - n**3 - 6*n**3 + 4*n = 0?
-1, 0, 1
Let c(j) = 7*j**3 + 6*j**2 - 15*j + 11. Let u(o) = -3*o**3 - 3*o**2 + 7*o - 5. Let b be (7 - 6)*-9*(3 - 4). Let v(t) = b*u(t) + 4*c(t). Factor v(x).
(x - 1)**3
Let z(a) = 11*a**2 + 2430*a - 1485961. Let d(p) = 19*p**2 + 4862*p - 2971922. Let o(s) = -4*d(s) + 7*z(s). Let o(c) = 0. Calculate c.
1219
Let c(p) = -66*p - 132. Let y be c(-2). Suppose -6*s + 0*s = y. Factor 0 + 4/3*h**4 - 4/3*h**2 + s*h + 4/3*h**5 - 4/3*h**3.
4*h**2*(h - 1)*(h + 1)**2/3
Solve -157*i**3 - 3 - 9*i**5 - 2*i**3 + 108*i**3 - 48*i**4 + 3 - 12*i**2 = 0 for i.
-4, -1, -1/3, 0
Let u = -32 + 31. Let w(z) = 7*z**5 - 5*z**4 + 5*z**3 + 5*z**2. Let x(r) = -r**5 + r**4 - r**3 - r**2. Let n(s) = u*w(s) - 6*x(s). Factor n(f).
-f**2*(f - 1)*(f + 1)**2
Let t(n) = 3*n**2 + 101*n + 216. Let c(z) = z**2 - z + 7. Let i(j) = 6*c(j) - 3*t(j). Suppose i(m) = 0. What is m?
-101, -2
Suppose -3*b - 5*v - 368 = -4*b, -2*b + 766 = 5*v. Let r = b - 374. Determine x, given that 12*x**3 + 9*x + 10/3*x**r + 18*x**2 + 0 + 1/3*x**5 = 0.
-3, -1, 0
Let b(g) = 33*g**3 - 72*g**2 - 451*g - 353. Let n(o) = 23*o**3 - 48*o**2 - 301*o - 235. Let s(f) = 5*b(f) - 7*n(f). Suppose s(u) = 0. What is u?
-3, -1, 10
Let d = 5909970189/7417963280 + -1/9760478. Let g = d - -1/304. Suppose -18/5*a**2 - g + 14/5*a - 2/5*a**4 + 2*a**3 = 0. Calculate a.
1, 2
Let o(b) be the first derivative of 11/6*b**2 + 32/9*b + 12 + 1/27*b**3. Factor o(f).
(f + 1)*(f + 32)/9
Let d(l) be the second derivative of l**5/120 - 31*l**4/36 - 553*l**3/36 - 245*l**2/6 - 2579*l. Determine v so that d(v) = 0.
-7, -1, 70
Let d(x) be the second derivative of 6/7*x**3 - 3 - 11/140*x**5 + 2/7*x**4 + 5*x + 1/210*x**6 + 0*x**2. Solve d(p) = 0.
-1, 0, 6
Let g = -12618 - -12622. Let s = 8 - 5. Let 0 + 9/2*x**s + 3/2*x + 9/2*x**2 + 3/2*x**g = 0. Calculate x.
-1, 0
Let v(r) be the second derivative of -r**8/1344 - r**7/168 - r**6/72 + 7*r**4/6 + r**3/3 - 71*r. Let d(t) be the third derivative of v(t). Factor d(g).
-5*g*(g + 1)*(g + 2)
Let q(y) = 21*y**2 - 6*y - 15. Let v be q(-2). Factor -v*f**3 + 11*f + 0 + 6 + 6*f**2 + 82*f**3.
(f + 1)*(f + 2)*(f + 3)
Let a(v) be the first derivative of -v**6/40 + 3*v**5/10 - 5*v**4/8 - 6*v**3 - 48*v**2 - 48. Let l(w) be the second derivative of a(w). Solve l(u) = 0.
-1, 3, 4
Suppose 15*v + 6 = 17*v. Suppose -v*w + 3*h + 57 = 0, -3*h + 27 = 4*w - 14. Determine n so that -7*n**2 - 9*n**2 - n**5 + w*n**2 + 3*n**3 = 0.
-2, 0, 1
Let c = -7737105/7 - -1107226. Let s = 1935 - c. Suppose 20/7*l**3 + 64/7*l - s*l**2 - 16/7 = 0. Calculate l.
2/5, 1, 2
Let f(r) be the third derivative of 0 + r**2 - 1/60*r**5 - 1/12*r**3 - 31*r + 5/96*r**4 + 1/480*r**6. Factor f(t).
(t - 2)*(t - 1)**2/4
Let u(v) be the first derivative of -v**3/15 + 11*v**2/2 + 56*v/5 + 1074. Determine h, given that u(h) = 0.
-1, 56
Factor -3/4*z**4 + 57/2*z**3 + 0*z + 0 - 111/4*z**2.
-3*z**2*(z - 37)*(z - 1)/4
Let z = -740 + 790. Suppose 737*c = 742*c - z. Determine g so that 0 + c*g**2 - 6*g**3 + 2/3*g**4 + 50/3*g = 0.
-1, 0, 5
Let v be 15 + (0 - 0/5). Determine x, given that -15*x + 5*x**2 - 27*x**4 + 37*x**4 - v*x**4 + 15*x**3 = 0.
-1, 0, 1, 3
Let y(z) be the first derivative of -z**5/360 -