*2/3 + 3474*a. Factor x(p).
-2*(p - 42)*(p + 11)**2/9
Let b(m) = -5*m**4 + 11*m**3 - 72*m**2 - 279*m - 9. Let x(k) = -k**4 + 3*k**3 - 18*k**2 - 70*k - 2. Let j(p) = -2*b(p) + 9*x(p). Let j(i) = 0. Calculate i.
-6, -3, 0, 4
Let i be (6 - (7 + 0) - ((-1588)/(-76) + -18)) + 4. Factor 0*k + 0 - 72/19*k**3 + 74/19*k**2 - i*k**4.
-2*k**2*(k - 1)*(k + 37)/19
Let g = -283404 + 283409. Determine i, given that -12*i**3 + 2 + 14/3*i**4 + 44/3*i**2 - 26/3*i - 2/3*i**g = 0.
1, 3
Find a, given that 4928/3*a**2 - 3136*a + 2/9*a**4 + 0 - 340/9*a**3 = 0.
0, 2, 84
Let x(p) be the second derivative of 5/6*p**4 - 20 + 64*p**2 - 32/3*p**3 - 1/40*p**5 - p. Let x(l) = 0. Calculate l.
4, 8
Let j = -65 - -97. Suppose 208 = j*k - 28*k. Factor -49*x**2 - 30*x**3 + 17*x**2 - 24 + 26*x**3 - k*x.
-4*(x + 1)**2*(x + 6)
Let l(v) be the third derivative of v**6/40 - 37*v**5/15 + 1831*v**4/24 - 99*v**3 + 13523*v**2. Solve l(k) = 0.
1/3, 22, 27
Factor 8812*r**2 - 316*r**3 - 25715*r**2 + 80*r**4 + 3*r**5 - 11*r**4 - 755*r**3 - 8234*r**2.
3*r**2*(r - 19)*(r + 21)**2
Let i = 143641/3 - 47879. Factor -136/3*f**2 - 62/3*f - 70/3*f**3 + i.
-2*(f + 1)**2*(35*f - 2)/3
Suppose 5*t - 94 = -3*q, 4*q - 162 = -4*t - 50. Let v(o) be the first derivative of -1/5*o**3 + 3/5*o**2 - q + 9/5*o. What is l in v(l) = 0?
-1, 3
Let n be (-1 - 12 - (-1253)/105)/(((-18)/6)/30). Solve -n + 16/9*a + 2/9*a**2 = 0.
-12, 4
Let h(x) be the first derivative of -1/540*x**6 - 1/18*x**4 + 27 + 0*x**2 - 1/60*x**5 + 0*x - 38/3*x**3. Let y(p) be the third derivative of h(p). Factor y(r).
-2*(r + 1)*(r + 2)/3
Let l be (-1 + (-158)/14)*(-39)/2860. Let z = l - -1/70. Factor 0 - 2/11*p**2 + z*p.
-2*p*(p - 1)/11
Let s be -6*1 + (-57600)/30. Let u = s + 7705/4. Factor 9/4 + u*v**3 + 7/4*v**2 + 15/4*v.
(v + 1)*(v + 3)**2/4
Let t = 16773/52 + -4164/13. Solve 1/4*n**2 - t + 0*n = 0.
-3, 3
Let b(o) be the third derivative of -16/5*o**4 - 19*o**2 + 0*o - 1/60*o**6 + 0 - 61/150*o**5 - 12/5*o**3. Solve b(g) = 0 for g.
-6, -1/5
Let o(f) be the second derivative of -27/4*f**2 - 2/5*f**6 - 15/4*f**3 - 4/7*f**7 + 17/8*f**4 - 148*f + 0 + 93/40*f**5. Suppose o(i) = 0. Calculate i.
-1, -3/4, 1
Let x be 6/81 + 4661/1593. Let c(s) be the second derivative of 0 - 1/14*s**4 + 7*s - 4/21*s**x - 1/7*s**2. Suppose c(p) = 0. What is p?
-1, -1/3
Let g(m) be the first derivative of 0*m**2 + 20*m - 34 - 5/3*m**3. Factor g(r).
-5*(r - 2)*(r + 2)
Let c(x) = x - 1. Let m(i) = -6*i - 6. Let o(d) = -12*c(d) + 2*m(d). Let j be o(-8). Suppose -48*u - 15*u**2 - 11*u**2 + 23*u**2 - j = 0. Calculate u.
-8
Factor -102/7*b**2 - 2/7*b**3 - 192/7 - 292/7*b.
-2*(b + 1)*(b + 2)*(b + 48)/7
What is l in 2246/3*l**2 + 0 - 748*l - 2/3*l**3 = 0?
0, 1, 1122
Let v(m) be the third derivative of -m**8/336 + 11*m**7/840 + 17*m**6/160 - 17*m**5/60 - 53*m**4/24 - 2*m**3 - m**2 - 25. Find a such that v(a) = 0.
-2, -1/4, 3, 4
Let 524/3*y**3 + 0 + 4/3*y**5 + 160*y + 104/3*y**4 + 904/3*y**2 = 0. Calculate y.
-20, -3, -2, -1, 0
Let d = 2764293/4 + -691072. Factor 17/8*j - d - j**2 + 1/8*j**3.
(j - 5)*(j - 2)*(j - 1)/8
Let q(t) = -t**2 + 3*t + 7. Let n(o) be the second derivative of -o**3/3 - o**2/2 - 49*o. Let h(a) = 3*n(a) - q(a). Let h(u) = 0. Calculate u.
-1, 10
Let f = 102/1033 - -27381/5165. Determine h so that -f*h + 3/5*h**2 - 66/5 = 0.
-2, 11
Let g(x) = 7*x**2 + 161*x + 24. Let v(j) = 5*j**2 + 161*j + 28. Let h(s) = 8*g(s) - 9*v(s). Factor h(n).
(n - 15)*(11*n + 4)
Let g(b) be the second derivative of 53*b**4/21 + 107*b**3/21 + b**2/7 + 2193*b. Factor g(x).
2*(x + 1)*(106*x + 1)/7
Let r(c) be the first derivative of 0*c**4 + 0*c**2 - 2/3*c**6 + 28 + 0*c + 8/5*c**5 + 0*c**3. Suppose r(h) = 0. Calculate h.
0, 2
Let l(r) be the second derivative of 5*r**4/12 - 110*r**3 + 655*r**2/2 + 1199*r. Factor l(q).
5*(q - 131)*(q - 1)
Suppose 5*j - 4*d + 11 = 4, -10 = 5*j - 5*d. Find y such that -24*y**3 + 72*y**3 + y**2 - j + 0 - 26*y**3 + 2*y - 24*y**3 = 0.
-1, 1/2, 1
Let c(y) be the second derivative of -y**4/12 + 5*y**3/6 + 6*y**2 - 2*y. Let n(w) = -w - 2. Let h(p) = 5*c(p) + 30*n(p). Factor h(d).
-5*d*(d + 1)
Factor 198*r - 3*r**2 + 526 - 533 + 142*r - 28*r - 902.
-3*(r - 101)*(r - 3)
Determine j, given that 1/5*j**3 + 39*j + 0 + 44/5*j**2 = 0.
-39, -5, 0
Suppose 5*i = 16*u - 11*u + 15, 9 = 3*i - u. Let m(s) be the first derivative of 9 + 2/5*s**2 + 0*s - 2/15*s**i. Factor m(l).
-2*l*(l - 2)/5
Let n(j) = -32*j**2 + 96*j - 1. Let w be n(3). Let r be (-5 + w)*(52/(-39))/4. Factor -15/2*i + 3 - 21/2*i**r.
-3*(i + 1)*(7*i - 2)/2
Suppose 2026319 - 75*y**2 - 4968*y + 52*y**2 + 27*y**2 - 483755 = 0. What is y?
621
Determine r so that 7803/4 - 2448*r + 768*r**2 = 0.
51/32
Factor -3*k**4 - 2325*k**3 + 4598*k**3 - 2333*k**3.
-3*k**3*(k + 20)
Let i(n) = -n + 26. Let g be i(24). Suppose g*w - 6 = z + z, -3*w = -2*z - 11. Find a, given that -2*a**2 - 3*a**2 + 15*a - w*a = 0.
0, 2
Suppose -10*o = -108 + 68. Suppose 0 = -l + 4*l - 12. Factor -i**l + i**5 + 0*i**5 + i**2 + 4*i**4 + 0*i**o + 3*i**3.
i**2*(i + 1)**3
Let y = 1959/1490 + 138/745. Solve y*s**3 + 0 - 1/2*s**2 + 1/2*s**4 - s - 1/2*s**5 = 0.
-1, 0, 1, 2
Let q(r) = -813*r**2 + 6509*r + 4. Let i be q(8). What is n in -i*n + 4*n**3 - 1/5*n**4 - 78/5*n**2 - 121/5 = 0?
-1, 11
Let h(g) be the first derivative of -11*g**2 + 60*g + 2/3*g**3 + 17. Solve h(y) = 0.
5, 6
Let k(m) be the first derivative of -3*m**5/100 - m**4/10 + 39*m - 60. Let p(a) be the first derivative of k(a). Find j, given that p(j) = 0.
-2, 0
Let g be 24/(1 - 0)*58/(-2668). Let s = g + 476/207. Factor -4/9*v**4 + s*v**3 + 32/9*v**2 - 64/9 - 32/9*v - 2/9*v**5.
-2*(v - 2)**2*(v + 2)**3/9
Let a(t) = 6*t**2 + 9*t + 3. Let p be a(-2). Let n(q) = 9*q - 69. Let b be n(p). Let 90*y**2 + 147/2*y**4 - 189*y**3 + 0 - b*y = 0. What is y?
0, 2/7, 2
Let v = -673401/7 - -96201. Solve 0 - 16/7*a + 24/7*a**2 - 4/7*a**3 - v*a**4 + 2/7*a**5 = 0 for a.
-2, 0, 1, 2
Let x be 464/56 + (7 + -57 - -42). Factor x*u**2 + 10/7*u - 2/7*u**3 + 6/7.
-2*(u - 3)*(u + 1)**2/7
Let m(s) = -s**4 + 4*s**3 + 8*s**2 + 5*s. Let t = -127 + 128. Let h(q) = q**5 + q**4 + q**3 + q. Let x(f) = t*m(f) - h(f). Let x(r) = 0. What is r?
-2, -1, 0, 2
Suppose -5*v = 5*m - 345, 4*v - m = -0*v + 261. Factor 0*u**4 - 2*u**4 - 613*u**2 + 578*u + 6*u**2 + 97*u**2 - v*u**3.
-2*u*(u - 1)*(u + 17)**2
Determine x so that -2/3*x**2 - 611618/3 - 2212/3*x = 0.
-553
Let a be ((-51)/36 + 2093/1196)*(-1 - -10). Suppose -12*t + 9*t**3 + 0 + 3/4*t**5 - 21/4*t**4 + a*t**2 = 0. Calculate t.
-1, 0, 2, 4
Let w(a) = -13*a**3 + 68*a**2 - 473*a + 640. Let t(d) = -34*d**3 + 204*d**2 - 1416*d + 1920. Let p(j) = -3*t(j) + 8*w(j). Determine y, given that p(y) = 0.
-40, 2, 4
Let p be (72/432)/(1/3351). Let x = -556 + p. Suppose 2/3*g + x*g**2 - 1/2 = 0. Calculate g.
-3/5, 1/3
Factor -5/2*z + 0 - 128*z**2.
-z*(256*z + 5)/2
Let h(r) be the third derivative of -r**8/840 - 11*r**7/525 + 4*r**6/75 + 32*r**5/15 - 5715*r**2. Let h(t) = 0. Calculate t.
-8, 0, 5
Suppose 0 = 2*g + 40, -9*t + 52 = -0*g - g + 14. Find y such that -7/2*y**t + 0 + 9*y**3 - 5/2*y**4 - 3*y = 0.
-2/5, 0, 1, 3
Suppose -o + 2*o - 2 = 0. Suppose 488*z + 427*z + 377*z = 0. Determine m, given that -3/5*m**o + 12/5*m + z = 0.
0, 4
Let p(q) be the first derivative of q**4/14 + 404*q**3/21 + 400*q**2/7 - 8298. Suppose p(o) = 0. What is o?
-200, -2, 0
Let g(l) = -60*l**3 + 340*l**2 - 565*l + 289. Let t(h) = -121*h**3 + 679*h**2 - 1129*h + 578. Let w(k) = -7*g(k) + 4*t(k). Find y such that w(y) = 0.
1, 17/8
Let l(n) = 16*n + 124. Let p be l(16). Let y = p + -380. Factor 4/7*k**3 - 5/7*k**2 - 1/7*k**4 + y + 2/7*k.
-k*(k - 2)*(k - 1)**2/7
Find v, given that 264*v + 3/2*v**4 - 576 - 189/4*v**3 + 1431/4*v**2 = 0.
-3/2, 1, 16
Let a = -65/237 + 5906/1659. What is b in 11/7*b + 13/7*b**3 - 1/7*b**4 - a*b**2 + 0 = 0?
0, 1, 11
Let n(v) be the second derivative of -31/3*v**4 - 9/20*v**5 - 2 - 2*v + 49*v**2 - 413/6*v**3. Suppose n(s) = 0. Calculate s.
-7, 2/9
Suppose 0 = 250*h - 254*h + 56. Let n be h*(-8)/(-84) - 0/3. Let 4/3*s**3 - n - 4/3*s + 4/3*s**2 = 0. Calculate s.
-1, 1
Let h(x) be the first derivative of -32 + 24*x + 1/14*x**3 - 1/28*x**4 + 3/7*x**2. Let k(z) be the first derivative of h(z). Factor k(j).
-3*(j - 2)*(j + 1)/7
Suppose -4*j + 49*t - 16 = 52*t, -2*j = -14*t - 116. Let -32*z - 1/3*z