t v be 3*(9/81)/((-1)/51). Let q be -14*(-2)/132 + v/(-51). Solve -12/11*a + 0 - 18/11*a**2 + 18/11*a**4 + 6/11*a**3 + q*a**5 = 0 for a.
-2, -1, 0, 1
Let h(a) be the third derivative of -a**6/120 - a**4/24 - 3*a**2. Let l(m) = 3*m**4 - 9*m**2 + 18*m - 6. Let g(k) = -3*h(k) - l(k). Factor g(x).
-3*(x - 1)**3*(x + 2)
Let v(r) be the third derivative of -r**7/1680 - r**6/96 + 21*r**5/160 + 27*r**4/8 - 2206*r**2. Factor v(q).
-q*(q - 8)*(q + 9)**2/8
Let v(p) be the first derivative of -5/8*p**4 - 3 - 3/80*p**5 - 25/8*p**3 + 0*p**2 - 21*p. Let m(g) be the first derivative of v(g). Let m(d) = 0. Calculate d.
-5, 0
Let a(b) be the first derivative of b**6/12 - 3*b**5/10 - 61*b**4/8 - 97*b**3/6 + 15*b**2 + 50*b - 3284. Let a(v) = 0. What is v?
-5, -2, -1, 1, 10
Suppose 8*q - 3 = 70*q - 3. Let h(j) be the second derivative of q - 3*j**2 - 8*j - 7/6*j**3 - 1/12*j**4. Let h(n) = 0. Calculate n.
-6, -1
Let p(v) be the third derivative of v**5/20 - 355*v**4/8 + 177*v**3 - 28*v**2 + 17*v. Factor p(f).
3*(f - 354)*(f - 1)
Let v(l) be the second derivative of 3*l**5/80 - 3*l**4/4 - 18*l**3 - 120*l**2 + 12*l - 8. Suppose v(o) = 0. What is o?
-4, 20
Suppose -c + 1 = -0*c + 2*w, 0 = 4*w + 8. Suppose -420 - 1065 = -c*v. Factor 5 + 5*x**2 + 158*x + 149*x - v*x + 0.
5*(x + 1)**2
Suppose 495*g - 1044*g = -492*g - 171. Let -4/7*z**g + 24/7 - 2*z**2 + 16/7*z + 2/7*z**4 = 0. Calculate z.
-2, -1, 2, 3
Let p(i) = i**3 - 2*i**2 - 2*i - 12. Let h be p(5). Let m = h + -48. Determine w, given that m*w - 12*w + 5*w**2 - 5*w**3 + 12*w - 3 - 2 = 0.
-1, 1
Let w = 303340/7 + -43334. Factor -8/7 - 32/7*r - 50/7*r**2 - 38/7*r**3 - 2*r**4 - w*r**5.
-2*(r + 1)**3*(r + 2)**2/7
Factor 8824/3*c + 1176 + 10/3*c**2.
2*(c + 882)*(5*c + 2)/3
Suppose 2*z - 54 = 5*l, z - 3*l - 7 - 22 = 0. Let d be 136/22 + (z - 28) + 5. Factor -d*j**2 + 0 - 2/11*j**3 + 4/11*j.
-2*j*(j - 1)*(j + 2)/11
Let k(i) be the second derivative of -16 + 1/3*i**4 + 14/3*i**3 + 4*i + 0*i**2. Factor k(f).
4*f*(f + 7)
Let c(g) = 2*g**2 + 116*g - 363. Let r be c(3). Let j(q) be the first derivative of 4 - 2*q - 32*q**4 - 160/3*q**r - 17*q**2. Factor j(y).
-2*(y + 1)*(8*y + 1)**2
Let c be ((69/((-1656)/(-32)))/(-8))/(3/(-8)). Let 4/9*s**4 - 2/9*s + c - 8/9*s**2 + 4/9*s**3 - 2/9*s**5 = 0. What is s?
-1, 1, 2
Let x(o) = o**3 + 9*o**2 + 1672*o + 11608. Let q be x(-7). Solve 2/11*g**4 + 864/11 + 288/11*g**q - 864/11*g - 40/11*g**3 = 0 for g.
2, 6
Let c = -53087/6 - -212573/24. Let 99/2 + 2535/8*l**2 - c*l**3 - 249*l = 0. What is l?
2/5, 33
Let f(p) be the third derivative of -p**5/30 - 284*p**4/3 - 322624*p**3/3 + 1059*p**2. Factor f(v).
-2*(v + 568)**2
Let a be (-9)/(45/(-50))*(10 + 748/(-77)). Factor 0*w + 0 - a*w**2 - 16/7*w**3 + 4/7*w**4.
4*w**2*(w - 5)*(w + 1)/7
Suppose 5*u = u + 16, 4*h - 3*u = 0. Suppose 0 = h*m - 4*l - 26, -m - 12*l + 8*l - 18 = 0. Find i, given that 0 - 1/7*i**m + 8/7*i = 0.
0, 8
Suppose 255444 = 6*j + 255432. Factor 1/5*d**j + 0*d + 0 - 1/5*d**3.
-d**2*(d - 1)/5
Let x be 3/(564/(-235)) + (-2)/(176/(-622)). Determine d so that 64/11*d**2 + 0 + 0*d - x*d**3 - 2/11*d**5 + 20/11*d**4 = 0.
0, 2, 4
Let n be 2730/930 + (-26)/(-403). Determine m, given that 0*m + 0 + 3/4*m**5 - 3*m**2 + 3/4*m**4 - n*m**3 = 0.
-2, -1, 0, 2
Let y(g) be the second derivative of 3*g**5/20 - 1831*g**4/4 + 839055*g**3/2 - 2511675*g**2/2 - 858*g + 5. What is h in y(h) = 0?
1, 915
Let y be (1 + 0)*(-3)/(-1). Suppose 4*i + 24 = 0, -28 = -117*m + 109*m + 2*i. Determine h so that 2*h - 4*h**m + 3/2*h**y + 0 = 0.
0, 2/3, 2
Let f = -60326 + 60358. Factor -10*k**2 - 2/3*k**3 - f*k + 128/3.
-2*(k - 1)*(k + 8)**2/3
Let c(r) be the first derivative of r**4/34 + 14*r**3/51 + 8*r**2/17 - 32*r/17 - 4758. Factor c(d).
2*(d - 1)*(d + 4)**2/17
Let h(t) be the first derivative of 1/3*t**3 + 0*t - 17 - 1/5*t**5 + t**2 - 1/2*t**4. Factor h(q).
-q*(q - 1)*(q + 1)*(q + 2)
Let m = 21/4 - 5. Suppose -382*d - 136 = -224*d - 192*d. Factor m*q**d + q - 3/2*q**2 + 2 - 1/4*q**3.
(q - 2)**2*(q + 1)*(q + 2)/4
Suppose 0 = -s + 4*s - 5*p - 154, -3*p + 28 = s. Let c = 5 + s. Factor 18 - 3*k**2 + 126 - c*k + 7*k**2.
4*(k - 6)**2
Let w(v) = -v**2 + 55*v - 86. Let j be w(53). Let d(k) be the first derivative of 80/3*k**3 + j*k**2 - 30 + 5*k. Factor d(b).
5*(4*b + 1)**2
Let r(g) be the third derivative of 0*g + 1/2*g**3 + 1/8*g**4 - g**2 + 4 - 1/160*g**6 - 1/80*g**5. Solve r(s) = 0 for s.
-2, -1, 2
Let u(o) = 33*o**3 + 725*o**2 - 2*o + 442. Let z be u(-22). What is l in l**z - 1 - 3/2*l = 0?
-1/2, 2
Let i = 917569/50 - 18352. Let x = i + 11/10. Factor -2/25*a**4 - 18/25*a**2 + 0 - x*a**3 + 0*a.
-2*a**2*(a + 3)**2/25
Let u = -3159 - -3179. Let z(f) be the second derivative of 0 - 1/6*f**6 + 0*f**4 + u*f + 0*f**5 + 5/42*f**7 + 0*f**3 + 0*f**2. Find n, given that z(n) = 0.
0, 1
Let m = -495/2912 - -14123/14560. Factor -m + 3/5*d**2 - 1/5*d**4 + 4/5*d - 2/5*d**3.
-(d - 1)**2*(d + 2)**2/5
Let p = -38 - -43. Let t(h) = -8*h**2 + 212*h - 136. Let g(j) = -7*j**2 + 212*j - 136. Let n(y) = p*t(y) - 4*g(y). Let n(k) = 0. Calculate k.
2/3, 17
Let r(o) be the second derivative of o**5/30 - o**4/2 + 5*o**3/3 - 15*o**2/2 - o - 3. Let s(m) be the first derivative of r(m). Factor s(k).
2*(k - 5)*(k - 1)
Suppose -6*s - 9 = -9*s. Let k(c) be the second derivative of 10/3*c**s + 0 + 0*c**2 + 1/4*c**5 - 5/3*c**4 - 34*c. Factor k(l).
5*l*(l - 2)**2
Let q(o) be the third derivative of o**5/300 + 59*o**4/60 - 8*o**3 + 63*o**2 - 3*o. Factor q(t).
(t - 2)*(t + 120)/5
Let h(v) be the second derivative of -32*v**6/15 - 6832*v**5/5 - 6821*v**4/3 - 4261*v**3/3 - 426*v**2 - 2074*v. Find m such that h(m) = 0.
-426, -1/2, -1/4
Determine s so that -453/4*s**2 + 873/4*s + 3/4*s**4 + 63/4*s**3 - 243/2 = 0.
-27, 1, 2, 3
Let d = 409 + -405. What is a in 4 - 320*a - d - 5*a**2 + 420*a = 0?
0, 20
Let j(y) be the second derivative of y**3/6 - y**2 - y + 25. Let n be j(5). Factor 2*b + 0 + 1/2*b**n + 2*b**2.
b*(b + 2)**2/2
Let w = -70711/8 - -8854. Let g = w + -1073/72. Suppose 2/9*y**2 + g*y**5 + 0*y + 0 + 2/3*y**4 + 2/3*y**3 = 0. What is y?
-1, 0
Let n be (4/(-6) - 20/(-48)) + 2730/390. Factor 4/3*u**2 - 6*u + n.
(4*u - 9)**2/12
Let 2919/2*u + 2840187/4 + 3/4*u**2 = 0. Calculate u.
-973
Suppose 0 = 5*i + 5*r - 5, -15*r + 20*r = 5. Let v(x) be the third derivative of 0 + 1/75*x**5 - 2/5*x**3 + i*x + 1/15*x**4 + 4*x**2. Factor v(g).
4*(g - 1)*(g + 3)/5
Let -24975*y**2 + 5477513 - 4369*y - 6839*y + 24979*y**2 + 2373691 = 0. What is y?
1401
Let q = -10 + 29. Suppose 5066 - q*y - 4*y**2 - 101*y - 5966 = 0. Calculate y.
-15
Let c(z) = -z**2 + 3*z + 14. Let q be c(5). Suppose 1 - 15 = -3*x + v, 0 = -5*x + 5*v + 40. Factor 13 - q*k**2 + k**2 + k**2 - x - 8*k.
-2*(k - 1)*(k + 5)
Suppose 0 = -5*u - i + 301, -5*i - 68 = -5*u + 257. Let p = u - 61. Determine w so that -2/7*w - 2/7*w**3 + 4/7*w**2 + p = 0.
0, 1
Let r(y) be the first derivative of -3*y**2 - 63 + 3/2*y**4 + 0*y - y**3 + 3/5*y**5. Solve r(q) = 0.
-2, -1, 0, 1
Let w(f) = 15*f**3 - 20*f**2 - 227*f + 206. Let x(n) = 7*n**3 - 10*n**2 - 111*n + 102. Let h(i) = 6*w(i) - 13*x(i). Find c, given that h(c) = 0.
-6, 1, 15
Let f(x) be the third derivative of x**7/490 - 29*x**6/140 + 247*x**5/35 - 507*x**4/7 - 8634*x**2. Suppose f(z) = 0. Calculate z.
0, 6, 26
Let g(u) be the second derivative of -1/84*u**4 + 1/3*u**3 + 0 + 4/7*u**2 - 40*u - 1/294*u**7 - 13/140*u**5 - 1/30*u**6. Find m such that g(m) = 0.
-4, -2, -1, 1
Let v(n) be the third derivative of -n**8/168 + 38*n**7/105 - 101*n**6/12 + 438*n**5/5 - 324*n**4 + 576*n**3 - 140*n**2. What is r in v(r) = 0?
1, 12
Let n(d) be the first derivative of d**6/420 - d**4/84 - 111*d**2/2 + 47. Let a(i) be the second derivative of n(i). Factor a(g).
2*g*(g - 1)*(g + 1)/7
Let y(q) be the second derivative of -3*q**5/40 + q**4/2 + 39*q**3/4 + 81*q**2/2 - 1070*q. Let y(z) = 0. What is z?
-3, -2, 9
Let n(i) be the first derivative of i**6/1800 - 3*i**5/50 + 27*i**4/10 + 2*i**3 + 40. Let u(y) be the third derivative of n(y). Factor u(q).
(q - 18)**2/5
Let d = 8856 + -8850. Let k(c) be the third derivative of 0*c**4 - 1/90*c**7 + 0*c + 0 - 1/40*c**d + 0*c**3 - 7*c**2 - 1/90*c**5. Solve k(w) = 0 for w.
-1, -2/7, 0
Let z = 24446/28553 - -4/4079. Factor -8/7*k**2 + 9/7 - 1/7*k**4 + 6/7*k**3 - z*k.
-(k - 3)**2*(k - 1)*(k + 1)/7
Let 