 k be 2*21/28*6. Suppose 5*j = 29 - k. Solve 2/9*o**3 + 0 + 0*o + 2/9*o**j - 4/9*o**2 = 0 for o.
-2, 0, 1
Let f(g) be the third derivative of g**8/84 + 4*g**7/35 + 11*g**6/30 + 2*g**5/5 + 455*g**2 + 3*g. Factor f(s).
4*s**2*(s + 1)*(s + 2)*(s + 3)
Let d be ((12/10)/(19/(-475)))/(-1). Factor -d*o**3 - 25*o**3 + 125*o**2 + 10*o**3 - 60*o - 20.
-5*(o - 2)*(o - 1)*(9*o + 2)
Let x(i) be the first derivative of i**3/3 + 10*i**2 - 44*i + 2100. What is m in x(m) = 0?
-22, 2
Let p be 28/16 + (-10)/((-80)/(-12)). Factor -4*v - p*v**2 - 7.
-(v + 2)*(v + 14)/4
Let r be 2/(-4)*-21*(-1888)/(-2065). Solve -8/5*x - r + 4/3*x**2 - 2/15*x**3 = 0.
-2, 6
Let b(m) = 5 - 5*m**2 + 10*m + 14*m**2 - 10*m**2. Let p be b(10). Suppose 28*v**2 - 24*v**2 - v**3 - p*v + 10*v = 0. What is v?
-1, 0, 5
Suppose -m + 24 - 2 = 5*v, 2*m = -3*v + 16. Solve -2*b - 11*b + 2*b + 14*b**m + 5*b = 0 for b.
0, 3/7
Let c(z) be the first derivative of 16/5*z + 7/5*z**2 - 15 - 2/15*z**3. Factor c(h).
-2*(h - 8)*(h + 1)/5
Suppose 45 = -j + 4*j. Suppose 17*v - 226 = 148. Factor 12 - v + j*k - 28*k**3 + 23*k**3.
-5*(k - 1)**2*(k + 2)
Suppose -188 - 65 = -23*y. Suppose 0 = t - y + 9. What is r in 50/3 + 1/6*r**t - 10/3*r = 0?
10
Let j be 1154/16 + (5/8)/(-5). Find g, given that -3*g**3 - j*g + 25 + 54*g**2 + 23 - 27*g = 0.
1, 16
Suppose 29/2 + 1/4*q**3 + 117/4*q + 15*q**2 = 0. Calculate q.
-58, -1
Factor 3/2*q**3 - 27 + 63/2*q - 12*q**2.
3*(q - 3)**2*(q - 2)/2
Suppose -2*i - 87 = -i - a, -4*a + 436 = -5*i. Let m = -86 - i. Solve -10*h - 15 + 10*h**2 - 14*h**m + 9*h**2 = 0 for h.
-1, 3
Let p(q) = q**2 + 2*q + 1. Let x be p(-3). Let l = -21 - -23. Factor -82*o**l + 5*o**4 - x*o**3 + 82*o**2 - o**3.
5*o**3*(o - 1)
Let d = -20477/6 - -3413. Let m(g) be the first derivative of 11/10*g**5 - 1/4*g**2 + 9/8*g**4 + d*g**3 + 1/3*g**6 + 12 + 0*g. Factor m(x).
x*(x + 1)**3*(4*x - 1)/2
Factor 0*j**3 + 4*j**4 - 127*j + 117*j**3 + 228*j**2 + 415*j - 61*j**3.
4*j*(j + 3)**2*(j + 8)
Suppose -d + 2*d - 2*j + 114 = 0, -d - 3*j = 114. Let t = 921/8 + d. Factor -3*h + 9/8*h**2 - t.
3*(h - 3)*(3*h + 1)/8
Let j be (4/(-48))/(217/(-31)). Let g(b) be the third derivative of 0*b - 2/21*b**3 + 0 + 3*b**2 - j*b**4 + 1/210*b**5. Solve g(h) = 0 for h.
-1, 2
Let l(f) be the third derivative of 0*f - 11/30*f**5 + 0 - 1/105*f**7 + 1/10*f**6 + 108*f**2 + 1/2*f**4 + 0*f**3. Determine a, given that l(a) = 0.
0, 1, 2, 3
Let d be (-1 + 5/12)*((-32967)/462)/111. Factor -d*p**3 + 63/8*p**2 - 45*p + 75/2.
-3*(p - 10)**2*(p - 1)/8
Solve 28/5 + 46/5*a**2 + 6/5*a**3 + 66/5*a - 2/5*a**4 = 0 for a.
-2, -1, 7
Let d be -3 + (-105)/(-9) - (-45)/((-495)/88). Suppose -1/3*t**4 + t**2 + 0*t**3 + 0 - d*t = 0. Calculate t.
-2, 0, 1
Let w(q) be the second derivative of q**7/3360 - q**6/90 + q**5/24 - 71*q**4/12 - 45*q. Let a(h) be the third derivative of w(h). Solve a(t) = 0.
2/3, 10
Let z(q) be the first derivative of 2*q**3/33 - 2968*q**2/11 + 4404512*q/11 - 4677. Find v, given that z(v) = 0.
1484
Suppose 0 = -14*r + 82 + 1458. Let g be (-40)/r + (-16)/(-22). Factor 8/11*s**2 - 2/11*s**4 + 16/11*s - g*s**3 + 0.
-2*s*(s - 2)*(s + 2)**2/11
Factor a**3 - 35693 - 42*a**3 - 1764*a - 508*a**2 - a**4 + 34397.
-(a + 1)*(a + 4)*(a + 18)**2
Let c(k) be the second derivative of -3*k**5/40 - 99*k**4/8 - 726*k**3 - 15972*k**2 - 2719*k. Factor c(p).
-3*(p + 11)*(p + 44)**2/2
Let o(b) be the first derivative of 2*b**5/45 - 53*b**4/9 + 136*b**3/3 - 1208*b**2/9 + 1600*b/9 - 1164. Factor o(c).
2*(c - 100)*(c - 2)**3/9
Suppose 0 = -8*w - 1299 + 427. Let y = 112 + w. Find r such that -r**3 - 5*r**4 + 2*r**4 - r**4 - y*r**3 = 0.
-1, 0
Let b(h) be the third derivative of h**8/112 - 2*h**7/7 + 3*h**6 - 16*h**5 + 50*h**4 - 96*h**3 - 187*h**2 + 3*h - 2. Factor b(y).
3*(y - 12)*(y - 2)**4
Suppose 62*v = 67*v - 15. Determine h so that 143 - 149 - h**4 + 9*h**2 + h**4 + 3*h**3 - 3*h**4 - v*h = 0.
-1, 1, 2
Let t(g) be the first derivative of 2*g**5/35 - 17*g**4/7 + 256*g**3/7 - 1566*g**2/7 + 2430*g/7 + 665. Solve t(o) = 0 for o.
1, 9, 15
Let y(n) = -n**3 + 7*n**2 - 11*n - 2. Let r = -35 - -39. Let t be y(r). Factor -t*x**3 - 2/5 + 18/5*x**2 - 6/5*x.
-2*(x - 1)**2*(5*x + 1)/5
Suppose -106*j + 117*j = 66. Let i be -1 + -6 + 3 + j. Factor i*l**2 + 0 - 5/4*l**3 + l.
-l*(l - 2)*(5*l + 2)/4
Let c be 32/(-28)*14/(-4). Let a be (-3 + 2)/((-1)/c). Factor a*r**2 + 3 + 4 + 1 + 12*r.
4*(r + 1)*(r + 2)
Let y(f) be the third derivative of -1/8*f**4 - 1/140*f**7 + 0*f + 11/120*f**5 + 163*f**2 - 1/80*f**6 + 0 + 0*f**3 + 1/672*f**8. Factor y(z).
z*(z - 3)*(z - 1)**2*(z + 2)/2
Let z(s) = 9*s**3 + 20*s**2 - 402*s + 954. Let i(f) = 11*f**3 + 20*f**2 - 403*f + 951. Let t(m) = -2*i(m) + 3*z(m). Factor t(o).
5*(o - 4)**2*(o + 12)
Suppose -3*t + 5 + 0 = -2*h, h - 5 = -t. Factor -n - 3*n**h - 57 + 39*n + 39*n - 17*n.
-3*(n - 19)*(n - 1)
Let j(y) = -y**3 + 9*y**2 + 3*y - 67. Let o be j(8). Let g(c) be the first derivative of 1/2*c**4 + o*c**2 + 16 - 36*c - 16/3*c**3. Find n, given that g(n) = 0.
2, 3
Let c(r) = -8*r**3 - 22*r**2 - 33*r + 30. Let g(n) = 23*n**3 + 67*n**2 + 98*n - 80. Let l(y) = -8*c(y) - 3*g(y). Suppose l(u) = 0. Calculate u.
-3, -2, 0
Factor 20*v + 0 + 23/6*v**2 + 1/6*v**3.
v*(v + 8)*(v + 15)/6
Let a(f) be the second derivative of 14*f**2 + 0 - 5*f**3 + 1/6*f**4 - 33*f. What is m in a(m) = 0?
1, 14
Let t(l) be the second derivative of -l**6/10 + 3*l**5/5 + 8*l**4 + 3*l + 355. Factor t(r).
-3*r**2*(r - 8)*(r + 4)
Suppose 3*q - 5*x = -435, -q - 15*x - 145 = -12*x. Let j be q/25 + -2 + 8. Factor -j*n**2 - n + 6/5.
-(n - 1)*(n + 6)/5
Let o be (-33)/((-1716)/208) - 0. Suppose -4/3*h**3 + 8/3 + h**2 - 1/3*h**o + 14/3*h = 0. Calculate h.
-4, -1, 2
Let v(s) be the second derivative of -7*s**5/5 + 11*s**4/3 - 64*s**3/21 + 8*s**2/7 - 1303*s. Solve v(a) = 0.
2/7, 1
Let s be (-8)/126*(-336)/48. Let r(i) be the third derivative of -18*i**2 + 37/270*i**5 + 0*i - 13/27*i**4 - 7/540*i**6 + s*i**3 + 0. Factor r(z).
-2*(z - 3)*(z - 2)*(7*z - 2)/9
Let z(q) be the first derivative of -2*q**5/5 - 67*q**4/2 + 240*q**3 - 2372. Find w, given that z(w) = 0.
-72, 0, 5
Let z(d) be the third derivative of d**5/60 - 33*d**4/8 - 50*d**3/3 - 179*d**2. Factor z(u).
(u - 100)*(u + 1)
Let r(x) be the second derivative of 1/26*x**5 + 8/13*x**4 - 19 + 35/13*x**3 + 3*x - 50/13*x**2. What is t in r(t) = 0?
-5, 2/5
Find c, given that -3179*c**4 + 76*c - 3182*c**4 + 4*c**5 - 80*c**3 - 3183*c**4 + 9544*c**4 - 120 + 120*c**2 = 0.
-5, -1, 1, 2, 3
Let x(u) be the first derivative of -2/3*u**2 - 1/18*u**4 - 14/27*u**3 + 1 + 0*u. Factor x(z).
-2*z*(z + 1)*(z + 6)/9
Suppose -17*x + 23*x + 25 = 79. Let f(q) be the second derivative of 1/24*q**4 + 0 - q**3 + 24*q + x*q**2. Factor f(y).
(y - 6)**2/2
Let m = -511 - -515. Let v(u) be the second derivative of 1/80*u**5 - 1/3*u**m + 0*u**2 + 0 + 8/3*u**3 - 10*u. Solve v(z) = 0 for z.
0, 8
Factor -157*f**4 + 2*f**5 + 30*f - 85*f**2 + 3*f**5 + 122*f**4 + 85*f**3.
5*f*(f - 3)*(f - 2)*(f - 1)**2
Let t(d) be the second derivative of d**5/20 + 13*d**4/6 - 28*d**3/3 - 2202*d. Factor t(y).
y*(y - 2)*(y + 28)
Factor 4852/9*d + 2942738/9 + 2/9*d**2.
2*(d + 1213)**2/9
Let w(v) be the third derivative of v**6/600 + 11*v**5/60 - 7*v**4/15 - 4*v**2 + 338. Suppose w(y) = 0. What is y?
-56, 0, 1
Let j(s) = 11*s**2 + 794 + 752 - 1512 - 51*s. Suppose 3 = -f - 2. Let q(t) = 10*t**2 - 50*t + 35. Let w(r) = f*j(r) + 6*q(r). Factor w(p).
5*(p - 8)*(p - 1)
Factor -330*x**4 + 5 + 18 + 325*x**4 - 40*x**3 + 40*x + 12 - 30*x**2.
-5*(x - 1)*(x + 1)**2*(x + 7)
Factor -10358 + 831194 + 551*y + 4*y**2 + 477*y + 2596*y.
4*(y + 453)**2
Suppose -37*n + 34*n + 12 = 0. Suppose -12 = 4*i + n*d, -2*i + 29*d - 28*d + 3 = 0. Suppose -1/2*f**4 + 0*f**3 - 1/2 + f**2 + i*f = 0. Calculate f.
-1, 1
Let j(a) be the second derivative of a**7/126 - a**5/60 + 1455*a. Solve j(z) = 0.
-1, 0, 1
Let q be (-9)/(-4)*(4 - 31)*((-272)/40 + -22). Factor -162/5*x**2 + 1/5*x**3 + q*x - 157464/5.
(x - 54)**3/5
Let s(x) = 12*x**2 - x - 1. Let u(h) = -9*h**2 + 1274*h - 849. Let c(j) = 5*s(j) + 5*u(j). Suppose c(i) = 0. What is i?
-425, 2/3
Suppose -4*f = 3*w - 68, -33*w + 38*w = 9*f - 153. Suppose w + 2/3*r**4 + 34/3*r**2 + 20/3*r**3 + 16/3*r = 0. Calculate r.
-8, -1, 0
Let n(f) = 4*f**3 - 99*f**2 + 635*f + 1558. Let t(r) = 12*r**3 - 298*r**2 +