e of g(x). Factor b(h).
3*(h + 19)**2/5
Let a be ((-2557)/15342)/(10/(-792)). Factor 3/5*v**4 + 72/5*v**2 + 21/5 + a*v + 6*v**3.
3*(v + 1)**3*(v + 7)/5
Let c(k) be the second derivative of -k**7/357 - 2*k**6/85 + 23*k**5/85 - 46*k**4/51 + 25*k**3/17 - 22*k**2/17 - 351*k. Suppose c(v) = 0. What is v?
-11, 1, 2
Suppose 3*h + 3*j + 20 + 121 = 0, 3*h = 3*j - 147. Let q = h - -50. Suppose -q*i**3 - 159*i - 4*i**4 + 2*i**5 + 4*i**2 + 159*i = 0. What is i?
-1, 0, 1, 2
Factor -4357408910*k - 7486847894*k - 14731968*k**2 + 962243108*k - 8864*k**3 - 3014317793792 - 2*k**4.
-2*(k + 1108)**4
Suppose -26*d + 64 = -22*d. Suppose -3*p - d*t + 12*t = -26, -3*t = 5*p - 25. Factor -15/4*v**p + 0 + 7/4*v + 9/4*v**3 - 1/4*v**4.
-v*(v - 7)*(v - 1)**2/4
Suppose 0 = -120*n + 3339 - 2379. Suppose -114/7*w + 4/7*w**2 + n = 0. What is w?
1/2, 28
Let l(a) = 3*a + a**2 + 0 - 8 - a - 8 + 1. Let f be l(3). Solve 0*x + f + 4/7*x**2 + 2/7*x**3 = 0 for x.
-2, 0
Let b(k) be the first derivative of k**4/2 + 806*k**3 + 366024*k**2 + 729632*k - 3183. Factor b(h).
2*(h + 1)*(h + 604)**2
Let k(b) be the second derivative of 0*b**4 - 3/25*b**5 + 1/25*b**6 + 0*b**3 + 0 + 0*b**2 + 1/35*b**7 - 38*b. Let k(o) = 0. What is o?
-2, 0, 1
Let y = -35168 + 35171. Determine u, given that -17*u**y + 44/3*u - 9*u**4 + 8/3 + 26/3*u**2 = 0.
-2, -2/3, -2/9, 1
Let t(d) be the first derivative of -d**4/18 + 214*d**3/27 + 2712. Determine g so that t(g) = 0.
0, 107
Suppose 0 = -523*v + 2507 - 938. Determine t, given that -5*t + t**v + 7/3 - 19/3*t**2 = 0.
-1, 1/3, 7
Let w(m) = -8*m**2 + 774*m - 5678. Let q be w(8). Factor -1/2*v**3 + 13/2*v + 15/2 - 3/2*v**q.
-(v - 3)*(v + 1)*(v + 5)/2
Suppose -1 - 8 = -3*p - 3. Let 0 - 10/13*d**p + 16/13*d**5 - 2/13*d - 12/13*d**3 + 8/13*d**4 = 0. What is d?
-1/2, 0, 1
Let f(b) = -10*b**3 - 968*b**2 + 284*b - 3. Let x(p) = p**3 - p**2 - 2*p + 1. Let m(q) = 4*f(q) + 12*x(q). Factor m(g).
-4*g*(g + 139)*(7*g - 2)
Suppose 12*k = -0*k + 108. Suppose k = 3*l - 0. Factor -13*b**4 + b**4 + 13*b**l + 3*b - 4*b.
-b*(b - 1)*(3*b - 1)*(4*b + 1)
Let n(v) be the first derivative of 4/3*v**3 - 2*v - 12*v**2 - 5. Let p(h) = -8*h**2 + 48*h + 5. Let u(x) = -5*n(x) - 2*p(x). Solve u(w) = 0.
0, 6
Let s = -191 - -195. Let t be ((-2)/(-7))/((-3)/(-21)). Factor 49*m**2 + 1 + 6*m - s*m - 48*m**t - 4*m.
(m - 1)**2
Determine i, given that -528/5 + 2/5*i**5 + 598/5*i**2 - 116/5*i + 114/5*i**3 - 14*i**4 = 0.
-2, -1, 1, 4, 33
Let g = -10837/20 + 2169/4. What is q in g*q + 0 - 2/5*q**2 = 0?
0, 1
Let d(t) = t + 5. Let h be d(0). Suppose h*k + 7 = 27. Suppose -10*p - 10*p**4 - 21*p**4 - 80*p**3 - 55*p**2 - 22*p**k + 18*p**4 = 0. What is p?
-1, -2/7, 0
Let -6256/9*k - 14/9*k**2 + 298/3 = 0. What is k?
-447, 1/7
Let z be (-22)/(-8) + (-15)/20. Let g = 1497 - 7482/5. Factor 6/5 + 12/5*n**z + g*n**3 + 3*n.
3*(n + 1)**2*(n + 2)/5
Suppose -44 = -5*x - 2*q, -16 = 3*x - 2*q + 12. Suppose -5*k - 3*t - 5 = 0, -2*k + 2*t = 7*t + 21. Solve -k*j + 0 - 2/3*j**x = 0.
-3, 0
Let n(u) be the first derivative of 5*u**6/2 - 584*u**5 + 145955*u**4/4 - 375370*u**3/3 + 162240*u**2 - 92160*u + 1101. Find o such that n(o) = 0.
2/3, 1, 96
Let z = 283 + -275. Factor -6*t**3 + z*t**4 - 7*t**4 + 24*t**2 - 4*t**4.
-3*t**2*(t - 2)*(t + 4)
Let m(u) be the second derivative of -u**5/12 - 35*u**4/3 - 45*u**3/2 + 415*u**2/3 + 680*u. What is d in m(d) = 0?
-83, -2, 1
Suppose -4/13*j**4 + 36/13*j**2 + 0 + 18/13*j + 16/13*j**3 - 2/13*j**5 = 0. Calculate j.
-3, -1, 0, 3
Let l(t) be the third derivative of t**7/70 - 31*t**5/20 + 15*t**4/4 + 38*t**2 - 11. Factor l(v).
3*v*(v - 5)*(v - 1)*(v + 6)
Let v = 110/15683 - -469720/109781. Determine q, given that 33/7*q**3 - 3/7*q**5 - v*q + 48/7 - 69/7*q**2 + 3*q**4 = 0.
-2, -1, 1, 8
Let b(n) be the second derivative of n**6/160 - 37*n**5/480 + n**4/24 + n**3/6 + 4*n**2 + 14*n - 5. Let h(p) be the second derivative of b(p). Factor h(f).
(f - 4)*(9*f - 1)/4
Let q be 7*48/168*-4 - (-16)/2. Factor 0*y**2 + 0*y + 9/7*y**3 + 4/7*y**5 + q + 15/7*y**4.
y**3*(y + 3)*(4*y + 3)/7
Let o be 1/2*240/(-126)*(-4932)/2740 - 0. Let 64/7*s**2 + 2*s**5 - 26/7*s - 52/7*s**4 + o*s**3 - 12/7 = 0. Calculate s.
-1, -2/7, 1, 3
What is m in -207*m**3 + 306 + 834*m - 27/2*m**4 + 861/2*m**2 = 0?
-17, -2/3, 3
Let y be (-95)/((-2565)/162) - 384/88. Suppose 0*c**3 + 0*c + 0 + 0*c**2 + y*c**5 + 12/11*c**4 = 0. What is c?
-2/3, 0
Suppose 3*k - 17 = l, l = 5*k - 20 - 9. Let z = 40 + k. Suppose -z*m**3 + 21*m**3 - m + 26*m**3 = 0. Calculate m.
-1, 0, 1
Find a such that -168 - 94 - 3*a**3 + 254*a - 26 + 22*a + 15*a**2 = 0.
-8, 1, 12
Let k = -374 + 404. Suppose 3*x = -5*s + 24, 0 = -k*x + 33*x - 5*s + 6. Find j such that 4/5 + 8*j**2 + 18/5*j**x + 26/5*j = 0.
-1, -2/9
Let a(q) be the third derivative of 6*q**2 + 9/10*q**4 - 3/350*q**7 + 2*q**3 + 7/100*q**5 - 13/200*q**6 - 2 + 1/560*q**8 + 0*q. Suppose a(n) = 0. What is n?
-2, -1, 2, 5
Let c be -10 - (-12 - 336200/110). Let q = c - 3054. Factor 6/11*h**2 - 42/11*h - q.
6*(h - 8)*(h + 1)/11
Suppose -230 = -4*z + 242. Suppose -7*s + 162 + z = 0. Let -10*p**3 - 28 + 16*p**4 + 26*p**3 - 10*p - 28*p**2 + s - 6*p**5 = 0. Calculate p.
-1, 2/3, 1, 3
Let w(i) = 21*i**2 + 2*i + 1. Let l be w(-1). Let b = l - 16. Factor -3*z**b + z**5 - 2*z**5 + 6*z**3 - 2 - 21*z + 47*z**2 - 37*z**2 + 11.
-(z - 1)**3*(z + 3)**2
Factor -29*v - v**2 + 114*v - 3*v**2 - 616 - 201*v.
-4*(v + 7)*(v + 22)
Let a be (-340)/(-80) - (7/(-4) + 1). Suppose -25*d - 5*d**5 - 10*d**2 - 438 - 439 - a*d**4 + 892 + 30*d**3 = 0. Calculate d.
-3, -1, 1
Factor -173/4*c - 1/4*c**3 - 35 - 17/2*c**2.
-(c + 1)*(c + 5)*(c + 28)/4
Let r(i) = 14*i**3 - 72*i**2 + 168*i + 15. Let x(v) = 8*v**3 - 34*v**2 + 84*v + 9. Let z(g) = -3*r(g) + 5*x(g). Factor z(y).
-2*y*(y - 21)*(y - 2)
Factor -1/2*p**4 + 0 - 23/2*p - 47/2*p**2 - 25/2*p**3.
-p*(p + 1)**2*(p + 23)/2
Factor 135897*d + 0*d**3 - 1166*d**2 + 32353*d - 169362 - 34442*d + 36718*d + 2*d**3.
2*(d - 291)**2*(d - 1)
Let o(c) be the third derivative of 0*c - 2/175*c**7 + 1/75*c**6 + 121*c**2 + 0*c**3 + 1/420*c**8 + 0*c**5 + 0 + 0*c**4. Solve o(m) = 0.
0, 1, 2
Let s(g) be the first derivative of -1/210*g**5 + 1/42*g**4 + 5*g**2 + 0*g - 14 + 8/21*g**3. Let a(y) be the second derivative of s(y). Factor a(z).
-2*(z - 4)*(z + 2)/7
Suppose 3*i - 2422 = 311. Factor -i*j + 9 + 4*j**3 + 5 - 16*j**2 + 2 + 1816*j - 909*j.
4*(j - 4)*(j - 1)*(j + 1)
Let q be (-2123)/(-772) + 150/(-56). Let z(m) be the second derivative of 0 + q*m**7 + 25*m + 0*m**6 + 0*m**2 + 1/2*m**4 - 9/20*m**5 + 0*m**3. Solve z(s) = 0.
-2, 0, 1
Let q = 14 - 10. Suppose 0*z - 24 = -2*y + q*z, -y - z = 0. Determine h so that 5*h**2 - 4*h**3 + y + 0*h**3 + 47*h + 5*h**3 - 39*h = 0.
-2, -1
Let p(t) be the first derivative of -t**5 - 45*t**4/4 + 20*t**3/3 + 90*t**2 + 908. Determine i so that p(i) = 0.
-9, -2, 0, 2
Let o be ((-33)/(-22))/((-54)/(-24) - 0). Find q, given that 4/3*q**2 + 0 + o*q - 7/2*q**3 = 0.
-2/7, 0, 2/3
What is v in -141*v**4 + 138*v**4 + 15*v**3 - 135*v + 104*v**2 + 19*v**2 = 0?
-5, 0, 1, 9
Let n(a) be the second derivative of -a**5/20 + a**4/12 + 25*a**3/6 - 25*a**2/2 + 3*a - 314. Factor n(h).
-(h - 5)*(h - 1)*(h + 5)
Let u(g) = -g**2 + 13*g - 24. Let x be u(3). Factor -4*v**2 + 12*v**2 - 101 - 103 + 195 - x*v**3 + v**4 + 6*v.
(v - 3)**2*(v - 1)*(v + 1)
Let s(k) = -46*k**2 - 284*k - 277. Let v(r) = 492*r**2 + 3124*r + 3048. Let u(q) = 32*s(q) + 3*v(q). Factor u(b).
4*(b + 1)*(b + 70)
Let y(z) = 31*z**2 + 6794*z - 2312012. Let t(k) = 6*k**2 - k - 2. Let u(l) = 6*t(l) - y(l). Find r such that u(r) = 0.
680
Let q(b) be the first derivative of 25*b**6/6 + 78*b**5 + 1465*b**4/4 + 200*b**3 - 250*b**2 - 3024. Determine z, given that q(z) = 0.
-10, -5, -1, 0, 2/5
Let w(c) be the third derivative of 15*c**2 + 0 + 0*c + 1/12*c**4 + 1/360*c**5 - 1/540*c**6 + 1/6*c**3. Let o(y) be the first derivative of w(y). Factor o(m).
-(m - 2)*(2*m + 3)/3
Let o be (77/22 - 5)*-10 - 13. Factor -2*b - 1/2*b**4 - 3*b**o + 5/2*b**3 + 4.
-(b - 2)**3*(b + 1)/2
Let i(s) be the third derivative of -5*s**8/2016 + s**7/105 + s**6/80 - 2*s**2 - 222*s. Factor i(p).
-p**3*(p - 3)*(5*p + 3)/6
Let k(i) be the third derivative of i**6/600 + i**5/150 - 43*i**4/120 + 4*i**3/3 + 1690*i**2. Factor k(g).
(g - 5)*(g - 1)*(g + 8)/5
Factor -22175*c**5 + 283590*c**3 