*5/15 - 3*h**2 - 275. Factor s(f).
f**2*(f - 8)*(f - 1)*(f + 1)
Let h(i) be the first derivative of 23*i**4 + 0*i - 16/5*i**5 - 79 - 104/3*i**3 - 16*i**2. Suppose h(u) = 0. What is u?
-1/4, 0, 2, 4
Suppose 1045*n - 5214 = 1034*n. Let m be (-79)/n + 10/12. Factor 7/3*v + 2/3 - m*v**2 - 7/3*v**3.
-(v - 1)*(v + 1)*(7*v + 2)/3
Let l(u) be the first derivative of 2/7*u**2 + 4/7*u - 45 - 1/21*u**3 - 1/28*u**4. Factor l(k).
-(k - 2)*(k + 1)*(k + 2)/7
Suppose -2*r - 4*f + 9*f = -25, 11 = r - f. Determine h, given that 41*h - 5*h**3 + 7*h - 12*h + 60*h**2 - r*h + 39*h = 0.
-1, 0, 13
Let l(z) be the second derivative of z**5/45 - 22*z**4/9 + 806*z**3/9 - 7688*z**2/9 + z - 3337. Factor l(k).
4*(k - 31)**2*(k - 4)/9
Let u(r) be the third derivative of -r**6/540 - 13*r**5/135 - 143*r**4/108 + 170*r**3/27 - 23*r**2 + 2*r + 1. Factor u(o).
-2*(o - 1)*(o + 10)*(o + 17)/9
Let x(u) = 224*u**2 + 38*u + 118. Let q(y) = 22*y**2 - y - 1. Let j(z) = 10*q(z) - x(z). What is c in j(c) = 0?
-8, -4
Let v(m) be the third derivative of m**8/20160 - m**7/1680 - 13*m**5/60 - m**3/6 + 118*m**2. Let w(c) be the third derivative of v(c). Factor w(n).
n*(n - 3)
Let c(u) be the second derivative of 0*u**3 + 1/55*u**5 + 1/660*u**6 + 18*u - 5/2*u**2 + 2/33*u**4 + 0. Let x(g) be the first derivative of c(g). Factor x(i).
2*i*(i + 2)*(i + 4)/11
Let p = -170 + 172. Factor -8514*z**3 - 3*z**2 + z**2 + p*z**4 - 2*z**2 + 8512*z**3.
2*z**2*(z - 2)*(z + 1)
Let a(p) be the third derivative of p**6/30 - 13*p**5/30 + 2*p**4/3 + 16*p**3 - 37*p**2 - 7*p. Find d such that a(d) = 0.
-3/2, 4
Let c(h) be the first derivative of -6/17*h + 2/51*h**3 - 2/17*h**2 - 59. Factor c(t).
2*(t - 3)*(t + 1)/17
Determine o, given that -1/5*o**2 - 858/5 + 149/5*o = 0.
6, 143
Let d(g) = -850*g**3 + g**2 - 3. Let z be d(1). Let n be 15/(-14)*994/z. Determine b so that -3/4*b - 1/4*b**3 - n*b**2 + 1/4*b**4 + 0 = 0.
-1, 0, 3
Let s(o) be the first derivative of -305*o**4/24 - 101*o**3/6 + 51*o**2 - 2*o/3 + 2319. Let s(r) = 0. What is r?
-2, 2/305, 1
Let z = -62190/41 + 186775/123. Factor -z*c**3 - 170/3*c**2 + 175/3*c + 0.
-5*c*(c - 1)*(c + 35)/3
Let r = 77051 - 77051. Factor -2*q + 1/3*q**3 - 1/3*q**2 + r.
q*(q - 3)*(q + 2)/3
Let r be (-100482)/102 - 22/(-187). Let g = 1033 + r. Find q, given that -3/4*q**2 - g - 12*q = 0.
-8
Let z be -4 - 399/(-35) - (54/9 + -5). Find k such that z*k**3 + 16/5*k**4 - 8/5*k - 52/5*k**2 + 12/5 = 0.
-3, -1/2, 1/2, 1
Suppose 75 + 435 = 3*q - 21*t, 3*t + 72 = 0. Factor 30*h + 5/2*h**q + 50.
5*(h + 2)*(h + 10)/2
Let s(q) be the first derivative of -q**5/30 + 7*q**4/6 + 87*q**2/2 + 12. Let t(j) be the second derivative of s(j). Solve t(g) = 0 for g.
0, 14
Let z(d) be the first derivative of -2*d**3 - 113*d**2/2 - 37*d - 69. Factor z(s).
-(2*s + 37)*(3*s + 1)
Determine w so that 6*w + 1/6*w**4 + 11/6*w**3 + 0 + 6*w**2 = 0.
-6, -3, -2, 0
Let a be 1*(-8)/(-24)*6. Let w(j) be the first derivative of 4/21*j**3 - 8/7*j + 6/7*j**a - 17 - 3/7*j**4 + 4/35*j**5. Factor w(c).
4*(c - 2)*(c - 1)**2*(c + 1)/7
What is b in -27/5*b - 1/5*b**2 + 58/5 = 0?
-29, 2
Let o(m) be the third derivative of 44/15*m**5 - 127*m**2 + 7/30*m**6 + 32/3*m**3 + 0*m + 0 + 34/3*m**4. Determine p so that o(p) = 0.
-4, -2, -2/7
Suppose 0 = -25*s - 13 - 37. Let c be ((-12)/40)/(s/(58 + 6)). Factor 3/5*r**2 - 24/5*r + c.
3*(r - 4)**2/5
Let f(w) be the first derivative of 9 + 4/3*w**3 + 1/6*w**4 + 9*w - 5*w**2. Let g(n) be the first derivative of f(n). Factor g(l).
2*(l - 1)*(l + 5)
Let p = 98 - 86. Suppose 3*r - 2*f - p = -r, 3*r - 8 = f. Solve -r*j + j - j**2 + j**3 + j = 0 for j.
0, 1
Let x(z) be the third derivative of z**8/504 + 41*z**7/315 + 19*z**6/30 + 191*z**2. Find g such that x(g) = 0.
-38, -3, 0
Let w(l) be the first derivative of 2*l**3/45 - 14*l**2/15 - 234*l/5 - 2002. Solve w(f) = 0 for f.
-13, 27
Factor 1089/4*m**2 + 784 - 924*m.
(33*m - 56)**2/4
Let s(d) = 2*d**2 + d - 1. Let y(c) be the third derivative of c**5/20 - 9*c**4/8 + 23*c**3/2 + 98*c**2. Let t(i) = -3*s(i) + y(i). Factor t(h).
-3*(h - 2)*(h + 12)
Let w(y) be the first derivative of -y**4/14 + 10*y**3/21 + 29*y**2/7 - 30*y - 4023. Let w(p) = 0. What is p?
-5, 3, 7
Let g(j) be the third derivative of -j**5/40 - j**4/16 + j**3/2 - 449*j**2 - 3. Factor g(k).
-3*(k - 1)*(k + 2)/2
Let t = 188 + -188. Let w(v) = v**3 + 2*v**2 - 3*v - 1. Let d be w(-2). Factor -2*r**3 + 12*r**2 + t*r**d + 2*r**5 + 4*r**4 + 22*r**3 - 6*r**5.
-4*r**2*(r - 3)*(r + 1)**2
Let o = 4321/12 - 360. Let t(q) be the first derivative of o*q**3 + 1/4*q**2 + 0*q - 1. Factor t(b).
b*(b + 2)/4
Suppose -b = -5*m + 70, 18 = 2*m + b - 17. Let p(n) = -n**3 + 15*n**2 + n - 8. Let k be p(m). Determine g so that 14 + 5*g**2 + k + 20*g - 1 = 0.
-2
Let j(a) be the first derivative of 80 - 3/4*a**3 + 3*a + 3/16*a**4 + 0*a**2. Solve j(c) = 0.
-1, 2
Suppose 4*n - 2*s = 50, 2*n - 1 = 3*s + 14. Factor -n*a + 20*a**2 + 12 + 20*a**2 - 56*a**2 + 19*a**2.
3*(a - 4)*(a - 1)
Suppose 94*r - 1524 = -171*r - 116*r. Factor 2*a**3 + 9/2*a + 21/4*a**2 + 0 + 1/4*a**r.
a*(a + 2)*(a + 3)**2/4
Let d = -6346 - -25385/4. Let f(w) be the first derivative of 15 + 0*w + 0*w**2 + d*w**4 + 4/3*w**3. Factor f(l).
l**2*(l + 4)
Suppose -2*r + 36 - 48 = -4*c, 0 = -2*c + 2*r + 8. Factor -2*l - 9/5 - 1/5*l**c.
-(l + 1)*(l + 9)/5
Let m(a) be the third derivative of -a**5/60 + 83*a**4/72 - 3*a**3 - 3028*a**2. Determine l so that m(l) = 0.
2/3, 27
Let k(h) be the first derivative of -2/25*h**5 + 0*h + 1/10*h**4 + 4/15*h**3 - 89 + 0*h**2. Determine a so that k(a) = 0.
-1, 0, 2
Let t be (-2)/(-8)*49 - (-3)/4. Suppose -2*n + 4*r = 10, t = 3*n + 2*r - 4. Factor -3*k**5 - 114*k**3 + k**5 + 116*k**n.
-2*k**3*(k - 1)*(k + 1)
Let m(a) be the first derivative of 90 + 21/16*a**2 - 3/32*a**4 + 0*a - 3/4*a**3. Solve m(p) = 0 for p.
-7, 0, 1
Let p(f) = f**2 - 7*f + 31. Let m(u) = -2*u + 10. Let t = 32 - 46. Let w be (3 - 1)*t/(-2). Let s(q) = w*m(q) - 4*p(q). Find l, given that s(l) = 0.
-2, 2
Let d(p) be the third derivative of p**5/450 - 43*p**4/45 - 173*p**3/45 + 1656*p**2. Factor d(x).
2*(x - 173)*(x + 1)/15
Let p(c) = -c**5 - 25*c**4 - 70*c**3 - 6*c - 6. Let d(t) = -5*t**5 - 150*t**4 - 420*t**3 - 35*t - 35. Let x(s) = -6*d(s) + 35*p(s). Suppose x(u) = 0. What is u?
-2, 0, 7
Let g be 858/(-6292) - (-455)/110. Factor -g*l**4 + 1/2*l**5 + 0*l + 0 + 10*l**3 - 8*l**2.
l**2*(l - 4)*(l - 2)**2/2
Let z(h) be the first derivative of -h**6/900 - 11*h**5/300 - h**4/6 - 233*h**3/3 + 287. Let k(g) be the third derivative of z(g). Factor k(j).
-2*(j + 1)*(j + 10)/5
Suppose -3*h - 4*t + 3*t = 740, 3*h + 728 = -4*t. Let c = -1732/7 - h. Factor c*f + 0 + 2/7*f**2.
2*f*(f + 2)/7
Let k(b) be the second derivative of b**5/160 - 5*b**4/96 - 37*b**3/12 + 77*b**2/4 - 14*b + 7. Suppose k(j) = 0. Calculate j.
-11, 2, 14
Let a be (0 + 0)/(-130*66/(-1716)). Suppose 66*s**2 + 14*s**3 + 2/3*s**4 + a - 242/3*s = 0. Calculate s.
-11, 0, 1
Let n be -6 + (-8)/12*-12. Solve -x**2 + 18*x + x**2 + 5*x**2 + 15 + x**2 - 3*x**n = 0.
-5, -1
Let m(j) = j**2 - 1. Let x be -3*2*(-20)/30. Suppose -1 = -5*t + x. Let w(f) = -2*f**2 + 2*f + 4. Let y(z) = t*w(z) + 3*m(z). Solve y(d) = 0.
-1
Let n = 1612 - 1603. Let b(v) = -2*v**2 + 17*v + 14. Let a be b(n). Solve 0 - 3/4*r**3 + 0*r - 1/4*r**2 - 1/4*r**a - 3/4*r**4 = 0 for r.
-1, 0
Suppose 0 = -30*g - 28*g + 580. Let f be ((-48)/g)/(207/(-230)). What is d in -f*d + 76/9*d**2 - 16/9 + 16/3*d**3 = 0?
-2, -1/4, 2/3
Let f(q) = -3*q + 17. Let i be f(4). Suppose -3*v - i*a = -7, a = v + 2*a - 3. Factor -56/5*w**2 + 10*w**5 - 28*w**v + 138/5*w**3 + 0 + 8/5*w.
2*w*(w - 1)**2*(5*w - 2)**2/5
Suppose 5728703 = 64*x + 5728575. Factor -124/7*z - 4/7*z**x - 120/7.
-4*(z + 1)*(z + 30)/7
Factor -1301*v**2 + 653*v - 571 + 833 + 1296*v**2.
-(v - 131)*(5*v + 2)
Let n(j) = 2*j**2 - 9*j**3 - 2*j**4 + 81*j - 36*j - 36*j - 5. Let a(t) = t**4 + 5*t**3 - t**2 - 5*t + 3. Let u(i) = -5*a(i) - 3*n(i). Solve u(z) = 0 for z.
-2, -1, 0, 1
Suppose -20*k = -6*k - 56. Find p, given that 2*p**2 + 5*p**2 + 16 - 9*p**2 + k*p**2 - 12*p = 0.
2, 4
Let m(v) be the third derivative of -v**8/1176 - 32*v**7/245 - 139*v**6/35 + 14936*v**5/105 - 1584*v**4 + 62208*v**3/7 + 11544*v**2. Factor m(u).
-2*(u - 4)**3*(u + 54)**2/7
Let q = -761767 - -761803. What is r in -33 + 3/2*r**3 + 1