*m**2 + 3/4*m**4 + 173 - 8*m**3 - 54*m. Factor f(h).
3*(h - 3)**2*(h - 2)
Let o = 865974 - 6061626/7. Let -2/7*f**5 - 150/7*f**3 - o - 64*f - 4*f**4 - 380/7*f**2 = 0. What is f?
-4, -3, -2, -1
Let w(v) be the third derivative of 13/10*v**3 - 3 - 42*v**2 + 7/60*v**4 + 1/150*v**6 + 0*v - 7/100*v**5. Factor w(n).
(n - 3)*(n + 1)*(4*n - 13)/5
Factor 5344/5*y - 4152/5*y**2 - 88/5*y**4 + 210*y**3 + 384/5.
-2*(y - 4)**3*(44*y + 3)/5
Let i(y) = 21*y + 50. Let n be i(11). Determine m, given that 18*m - 3*m**4 - 132 + n - 12*m**2 - 134 - 18*m**3 = 0.
-5, -1, 1
Let t be ((-4)/3)/(45/(3330/(-148))). Find x, given that 2/3*x**3 - 2/3*x**2 - 2/3*x**5 + t*x**4 + 0*x + 0 = 0.
-1, 0, 1
Let a(m) = m**3 + 8*m**2 + 16*m + 2. Let z be a(-4). Suppose 193*j**4 - 12*j**3 - 129*j**4 - 36*j + 132*j**z - 77*j**3 - 71*j**3 = 0. What is j?
0, 3/4, 1
Let q = -2447 + 2447. Let y be (1624/(-4263))/(q + (-6)/7). Factor -2/3 - y*z + 2/9*z**2.
2*(z - 3)*(z + 1)/9
Let j(s) = -s + 13. Let f be j(6). Let u = f + 5. Suppose -5*a - 8 - u*a**2 + 4*a**4 - 3 - 15*a + 4*a**3 + 3 = 0. Calculate a.
-1, 2
Suppose -9*h - 3540 = -14*h. Suppose 7*x = x + h. Find f, given that 4*f**2 - 14*f**2 + 27*f**2 - 60*f - 20 + x*f**2 = 0.
-2/9, 2/3
Let s(l) be the first derivative of -185 - 2/9*l**3 - 10658/3*l + 146/3*l**2. Factor s(f).
-2*(f - 73)**2/3
Let r(h) = -22*h + 4*h**2 - 116 + 44 - 6*h**2. Let o(w) = -w. Let s = 8077 - 8078. Let b(f) = s*r(f) - 2*o(f). Factor b(i).
2*(i + 6)**2
Let k(d) be the first derivative of -d**5/15 - 13*d**4/6 - 25*d**3 - 350*d**2/3 - 500*d/3 - 1014. Suppose k(c) = 0. What is c?
-10, -5, -1
Let n be (-2 - -8)/(-2) - 156/(-3). Suppose -n = -7*p + 77. Determine y, given that 10*y**2 - p*y**3 + 20*y**4 + 6*y**5 + 43*y**3 - y**5 = 0.
-2, -1, 0
Let a(f) = 8*f - 11. Let q be a(6). Let b = q + -34. Suppose 2*y + 8*y**4 - 4*y**5 - 3*y**b + 5*y**3 - 6*y**2 - 2*y**4 = 0. What is y?
-1, 0, 1/2, 1
Let l(z) be the first derivative of 49*z**4/3 - 721*z**3/9 - 230*z**2/3 - 68*z/3 - 1942. Solve l(g) = 0 for g.
-2/7, 17/4
Factor -141/5*q**2 - 27*q + 6/5.
-3*(q + 1)*(47*q - 2)/5
Let g(m) be the second derivative of 0*m**4 - 3 - 2*m + 1/60*m**6 + 1/84*m**7 + 0*m**3 + 0*m**2 + 0*m**5. Factor g(k).
k**4*(k + 1)/2
Determine y so that 3*y - 61 - 13*y - 83 - 10*y - 4*y - y**2 = 0.
-12
Let n be 2/2 - -3 - (-107)/107. Determine b, given that -133*b**4 - 2*b**5 - 2*b**5 + 2*b**n + 139*b**4 = 0.
0, 3
Let m be 3171/(-302) - ((-7 - -8) + 13*-1). Determine q, given that 4/3*q - 1/6*q**2 + m = 0.
-1, 9
Let h be (-622)/3*27/(-45). Let t = h + -1229/10. Determine g so that -t*g + 5/4 + 1/4*g**2 = 0.
1, 5
Let b = 9235020/13 + -710386. Factor 76/13*f**3 + 0*f + b*f**4 + 0 + 74/13*f**2.
2*f**2*(f + 1)*(f + 37)/13
Let j(w) be the second derivative of w**4/3 - 86*w**3/3 - 700*w**2 + 2*w - 553. Factor j(u).
4*(u - 50)*(u + 7)
Let v = 67 + -67. Find r such that v*r**5 - 8959*r**3 + r**5 + 8958*r**3 = 0.
-1, 0, 1
Let a = -28 + -128. Let v be 0 + (a/90)/(-13). Factor 2/15*x**5 + 4/15*x**4 + 0*x**2 + 0 + v*x**3 + 0*x.
2*x**3*(x + 1)**2/15
Let v(i) = 5*i**3 - 55*i**2 + 3*i - 3. Let p(m) = 104*m**3 - 1158*m**2 + 62*m - 62. Let w(u) = -6*p(u) + 124*v(u). Let w(a) = 0. What is a?
0, 32
Let m(a) be the third derivative of -a**6/60 + 11*a**5/15 - 7*a**4/4 + 13*a**2 - 6*a - 17. Determine k so that m(k) = 0.
0, 1, 21
Find u, given that 388*u - 2/17*u**2 - 319906 = 0.
1649
Let d(z) = -z**2 + 13*z + 52. Let p be d(16). Factor -50*i - 3*i**4 - 35*i**2 + 6*i**4 + 20*i**3 + 2*i**p + 0*i**4.
5*i*(i - 2)*(i + 1)*(i + 5)
Let d(n) be the second derivative of 35/6*n**3 + 20*n + 5/12*n**4 - 45*n**2 + 0. Factor d(v).
5*(v - 2)*(v + 9)
Suppose -63*j = -234 - 105 + 87. Let -4/9 - 14/9*t**3 + 10/9*t**j - 2/3*t**2 + 14/9*t = 0. What is t?
-1, 2/5, 1
Let q(b) be the third derivative of 5*b**5 + 1/15*b**7 + 0*b + 2 - 32/3*b**3 - 61/60*b**6 - 16/3*b**4 + 101*b**2. Determine x, given that q(x) = 0.
-2/7, 1, 4
Suppose 0 = -39*a + 34*a - 5*l + 85, a - 2*l + 28 = 0. Let 2592*p - 1/3*p**4 + 56/3*p**3 - 3888 - 360*p**a = 0. What is p?
2, 18
Let b = -1186 + 1180. Let k be b/27 - 40/(-18). What is v in 1/2*v**2 - k*v + 1/2*v**3 - 2 = 0?
-2, -1, 2
Let d(v) = -2*v**4 + 6*v**3 - 10*v**2 - 10*v + 5. Let a(r) = 3*r**4 - 9*r**3 + 16*r**2 + 16*r - 8. Let l(s) = 5*a(s) + 8*d(s). Determine m so that l(m) = 0.
0, 3
Let f(t) = -2*t**3 - 10*t**2 - 10*t - 20. Let r be f(-5). Suppose -b - 3*p + 8*p = -27, -5*b = -4*p - r. Factor -3/2*h - 1/2*h**b + 2.
-(h - 1)*(h + 4)/2
Let a(h) = h**2 + h - 1. Let z(k) = -8*k**2 - 101*k - 763. Suppose r + 15 = 5*d, -6*r + 3*r + 23 = 2*d. Let x(g) = r*a(g) + z(g). Factor x(i).
-3*(i + 16)**2
Let q(p) be the first derivative of -2*p**3/21 - 349*p**2/7 - 696*p/7 + 3180. Let q(f) = 0. Calculate f.
-348, -1
Let -4*j**3 + 0 + 16*j + 8/3*j**2 - 2/3*j**4 = 0. What is j?
-6, -2, 0, 2
Find j such that -565*j**3 + 20 + 381*j**2 - 862*j**4 + 747*j**4 - 380*j - 1251*j**2 + 20 = 0.
-2, -1, 2/23
Let x(t) = -t**2 + 348*t - 26432. Let o be x(112). Find h such that 0 + 4/5*h**4 + o*h - 4/5*h**3 - 8/5*h**2 = 0.
-1, 0, 2
Let r(l) be the second derivative of l**4/12 - l**3/6 - 15*l - 2. Let h(f) = -4*f**2 - 4*f + 56. Let a(v) = -2*h(v) - 4*r(v). Factor a(z).
4*(z - 4)*(z + 7)
Let x be 99 + -127 - 4096/(-144). Suppose -x*n**3 + 364/9*n**2 - 8464/9 - 8096/9*n = 0. What is n?
-1, 46
Let f = 55069/3 + -18176. Let c = f - 180. Suppose l - 2/3 - c*l**2 = 0. What is l?
1, 2
Let t be ((-76)/76)/((-2)/(-138)). Let j = t - -217/3. Find u, given that j - 10/3*u - 5/2*u**2 = 0.
-2, 2/3
Let b(z) be the third derivative of 0*z - 1/660*z**6 - 1/33*z**5 + 0*z**4 + 0*z**3 + 7 - 5*z**2. Suppose b(g) = 0. Calculate g.
-10, 0
Let y(n) be the first derivative of -3*n**5/5 + 21*n**4 + 90*n**3 + 138*n**2 + 93*n - 1110. Factor y(x).
-3*(x - 31)*(x + 1)**3
Let u(r) be the first derivative of 3 - 100/3*r**3 - 35/4*r**4 + 9*r**5 - 10*r**2 + 0*r. Let u(o) = 0. Calculate o.
-1, -2/9, 0, 2
Let s(o) be the third derivative of -5/2*o**4 - 1/24*o**6 + 4*o + 13/12*o**5 + 0*o**3 + 9*o**2 + 0. Let s(j) = 0. Calculate j.
0, 1, 12
Let t(x) be the second derivative of -x**6/6 - 25*x**5/12 + 2285*x**4/36 - 5975*x**3/18 - 375*x**2 - 2*x + 525. Solve t(u) = 0.
-18, -1/3, 5
Let j(m) = -2*m - 30. Let y be j(5). Let s = y - -44. Let -12*g**3 + 8*g**s - 4*g**4 - 2*g**2 + 0*g**4 + 14*g**2 - 4*g = 0. Calculate g.
0, 1
Let s(h) be the first derivative of -7/2*h**2 + 3*h + 9 - 19/3*h**3. Let u(c) = -94*c**2 - 34*c + 14. Let y(f) = 14*s(f) - 3*u(f). Factor y(i).
4*i*(4*i + 1)
Factor -1/4*f**2 + 25/2*f + 275/4.
-(f - 55)*(f + 5)/4
Let r(f) be the second derivative of 0 + 1/60*f**4 + 125/2*f**2 + 5/3*f**3 - 2*f. Factor r(d).
(d + 25)**2/5
Find j such that -3*j**2 + 593 + 293 + 525*j - 255*j - 205 + 408*j = 0.
-1, 227
Let g = 21 + -21. Suppose g = 4*c - 2*c - 6. Determine x so that -22*x**3 + 30*x + 25*x - 6*x**2 + x**c - 52*x - 12*x**4 = 0.
-1, 0, 1/4
Let k(y) be the second derivative of y**7/21 + 7*y**6/15 - y**5/10 - 7*y**4/6 - 22*y - 7. Suppose k(r) = 0. What is r?
-7, -1, 0, 1
Let x(m) be the first derivative of -m**4/2 + 74*m**3/3 - 34*m**2 - 144*m - 2763. Let x(d) = 0. Calculate d.
-1, 2, 36
Factor -62*u**3 + 163*u**2 + 121*u**2 + 28*u**3 + 32*u**3 + 15288 + 4270*u.
-2*(u - 156)*(u + 7)**2
Factor 32/5*h**3 - 156 + 268/5*h**2 - 1984/5*h.
4*(h - 5)*(h + 13)*(8*h + 3)/5
Let -124/5*u**4 - 174/5*u**3 + 0 - 44/5*u**2 + 6/5*u**5 + 0*u = 0. Calculate u.
-1, -1/3, 0, 22
Let o = -4 - -11. Suppose -4*q - 12 = -o*q. Find h, given that 2*h**5 - 5*h**5 + 13*h**2 - 7*h**4 + 16*h**q - 25*h**2 = 0.
-1, 0, 2
Let y(n) be the third derivative of 0*n - 4 + 1/90*n**5 - 19*n**2 - 1/2*n**4 + 5*n**3. Find d such that y(d) = 0.
3, 15
Let n be 15*(-17)/459*(-2)/5. Let l(w) be the second derivative of 4/3*w**2 - 11*w - 1/3*w**4 - n*w**3 + 0. Factor l(u).
-4*(u + 1)*(3*u - 2)/3
Let g(b) = 3*b - 14. Let v be g(6). Factor v*s**3 - 12*s + 143 + 135 - 278 - 8*s**2.
4*s*(s - 3)*(s + 1)
Suppose -z + 37 = z - 5*u, -5*u + 5 = 5*z. Suppose -z*g + 13 = -11. Determine r, given that -1/4*r**g + 1/4*r**2 - r**3 + 0 + r = 0.
-4, -1, 0, 1
Suppose -1087/2*h**3 + 0 + 293755/2*h**2 + 891075/2*h + 1/2*h**4 = 0. Calculate h.
-3, 0, 545
Suppose -i - 10 = -13. Let g be ((-8)/6)/(i*(-16)/72). Factor 27/4*j - 2 + 7/8*j**g.
(j + 8)*(7*j - 2