 - 27 = 0. Let f be (-2)/r*(-531)/(-413). Suppose 0 - 10/7*y + f*y**2 = 0. Calculate y.
0, 5
Suppose 21*m - 65 = 16*m. Suppose -17*l + 22 + 11 - 8 + 5*l**2 - m*l = 0. Calculate l.
1, 5
Let w(y) be the second derivative of -y**5/120 - 7*y**4/72 + 49*y**3/6 + 3105*y. Factor w(n).
-n*(n - 14)*(n + 21)/6
Let w(b) be the third derivative of -b**7/70 - 9*b**6/40 - 6*b**5/5 - 5*b**4/2 + 76*b**2. Factor w(x).
-3*x*(x + 2)**2*(x + 5)
Let z(r) be the first derivative of -3*r**4/32 + 13*r**3/8 - 69*r**2/16 + 33*r/8 + 1121. Suppose z(i) = 0. What is i?
1, 11
Let l = 799 - 789. Suppose -1 - 3 = -2*c, 5*c = 2*y + l. Factor 0 + 1/3*v**2 + y*v - 1/3*v**5 - 1/3*v**4 + 1/3*v**3.
-v**2*(v - 1)*(v + 1)**2/3
Let g = 20 + -23. Let j be -2*(g + 9/6). Find q, given that -q**3 - 14*q**4 - q**3 - q**j + 7*q**3 + 10*q**5 = 0.
0, 2/5, 1
Let w = 8389/192 - 1815/64. Let g = 2703/4 + -23615/36. Determine x so that 230/9*x**2 + w*x + 2 - 176/9*x**4 - 32/9*x**5 - g*x**3 = 0.
-3, -1/4, 1
Find v, given that 640 - 4128/5*v + 39/5*v**4 - 422/5*v**3 + 392*v**2 - 1/5*v**5 = 0.
2, 4, 25
Let b(s) be the third derivative of s**8/168 + s**7/35 - s**6/6 + s**5/15 + 3*s**4/4 - 5*s**3/3 - 5*s**2 - 5. Let b(k) = 0. What is k?
-5, -1, 1
Let b(s) = 3*s**2 - 1476*s + 187503. Let t(v) = -3*v**2 + 1484*v - 187502. Let u(w) = -2*b(w) - 3*t(w). Let u(h) = 0. Calculate h.
250
Let p(j) be the first derivative of -j**4/5 + 100*j**3/3 - 494*j**2/5 + 492*j/5 + 564. Determine z, given that p(z) = 0.
1, 123
Determine a, given that -10088*a**2 - 1/3*a**4 + 125312/3*a - 126736/3 - 352/3*a**3 = 0.
-178, 2
Let j(o) be the first derivative of o**6/4 + 54*o**5/5 + 105*o**4/8 + 536. Factor j(m).
3*m**3*(m + 1)*(m + 35)/2
Let c(a) be the second derivative of -a**4/3 - 70*a**3/3 + 72*a**2 - 439*a - 5. Factor c(g).
-4*(g - 1)*(g + 36)
Let s be 132/165 - 12/15. Let f(p) be the second derivative of 3/20*p**5 + 1/60*p**6 + 1/12*p**4 - 3/4*p**2 - 1/84*p**7 - 4*p + s - 5/12*p**3. Factor f(t).
-(t - 3)*(t - 1)*(t + 1)**3/2
Let 10*j**3 + 52*j + 6*j**4 - 54*j**2 - 62*j**5 + 60*j**5 - 24 + 12*j = 0. Calculate j.
-3, 1, 2
Factor -1143 + 315 + 264*a + 133371*a**2 - 133367*a**2.
4*(a - 3)*(a + 69)
Let w(l) = l**2 + 6*l + 8. Let h be w(-8). Let x = h - 22. Factor -16*q**x + 2*q - 3*q - 3*q - 4*q**2 + 16.
-4*(q + 1)*(5*q - 4)
Let v(h) be the third derivative of 0*h**3 - 1/120*h**5 - 4*h**2 - 2 + 0*h + 1/32*h**4. Solve v(u) = 0 for u.
0, 3/2
Suppose 0 = -4*h - 5*j + 88, 5*h - 4*j - 151 = -0*j. Let s be (-57)/(-24) + h/(-72). Let 6*z + 8 + 22*z**2 + 17*z**2 - 38*z**s = 0. What is z?
-4, -2
Let z(c) be the third derivative of c**6/160 - 3039*c**5/80 + 3078507*c**4/32 - 1039509197*c**3/8 - 1504*c**2. Find p such that z(p) = 0.
1013
Let c = -56 + 57. Let w be (c - 518/(-77)) + -7. Factor 2/11*d**2 - 2/11 + 8/11*d**3 - w*d.
2*(d - 1)*(d + 1)*(4*d + 1)/11
Let d(h) = 38*h - 2200. Let v be d(58). Let r(q) be the third derivative of -16/27*q**3 + 0*q - 11*q**2 + 2/27*q**v + 0 - 1/270*q**5. Factor r(j).
-2*(j - 4)**2/9
Suppose -1682/5 + 112/5*u**3 - 1452/5*u**2 - 2/5*u**4 - 3248/5*u = 0. What is u?
-1, 29
Let x(g) be the first derivative of g**8/168 - 8*g**7/105 + 13*g**6/60 - g**5/5 - 35*g**2/2 + 173. Let m(y) be the second derivative of x(y). Factor m(i).
2*i**2*(i - 6)*(i - 1)**2
Let s = 299/2 + -145. Suppose 0 = h + 51 - 97 + 43. Suppose 3/2*m**5 + 0 + 9/2*m**2 + 6*m - s*m**4 - 15/2*m**h = 0. What is m?
-1, 0, 1, 4
Find h, given that 0*h - 2/5*h**3 + 74*h**2 + 0 = 0.
0, 185
Let -14080*v**2 - 2160*v**3 + 0 - 5/2*v**5 - 125*v**4 - 20480*v = 0. What is v?
-16, -2, 0
Suppose 0 + 54*i - 3/2*i**3 - 24*i**2 = 0. What is i?
-18, 0, 2
Let m(u) be the first derivative of u**6/75 + 2*u**5/25 + u**4/5 + 4*u**3/15 + u**2/5 + 46*u - 30. Let p(g) be the first derivative of m(g). Factor p(x).
2*(x + 1)**4/5
Let d(m) be the second derivative of 4 - 40/3*m**3 - 5/3*m**4 + 0*m**2 + 9*m + 3*m**5 + 5/42*m**7 + 7/6*m**6. Factor d(x).
5*x*(x - 1)*(x + 2)**2*(x + 4)
Let i(t) be the third derivative of -t**5/60 - 89*t**4/24 + 91*t**3/3 + 582*t**2. Let i(p) = 0. What is p?
-91, 2
Let z be (4/(-4))/(2/(-242)). Suppose 108*i = 113*i - 40. Factor -z + 2*y**4 + 6*y**4 + 117 - 4*y**4 - 8*y**3 + i*y.
4*(y - 1)**3*(y + 1)
Let j be 41/(-246) - ((-34)/6 - -3). Solve 6*n + j*n**2 + 2 = 0.
-2, -2/5
Let g(l) = 2*l**3 + 446*l**2 + 24625*l - 25088. Let n(i) = 3*i**3 + 669*i**2 + 36939*i - 37632. Let h(t) = -7*g(t) + 5*n(t). Factor h(m).
(m - 1)*(m + 112)**2
Let p(m) be the third derivative of -m**5/12 + 2815*m**4/24 - 1400*m**3 + 102*m**2 - 8. Factor p(h).
-5*(h - 560)*(h - 3)
Factor 345/4*a + 3/4*a**3 + 24*a**2 + 63.
3*(a + 1)*(a + 3)*(a + 28)/4
Let -3164/23*w**3 - 5184/23 - 26440/23*w**2 - 90/23*w**4 + 24048/23*w = 0. Calculate w.
-18, 2/5, 4/9
Find p such that 1094/3*p**2 - 4090/9*p - 36*p**3 - 52/3 = 0.
-1/27, 3/2, 26/3
Let w(f) = 10*f**2 + 5545*f + 2555773. Let p(c) = 9*c**2 + 5544*c + 2555775. Let b(y) = -7*p(y) + 6*w(y). Find a, given that b(a) = 0.
-923
Let c(s) = -s**4 + s**2 + s + 13. Let b(q) = 3*q**4 - 6*q**3 + 92*q**2 - 228*q - 52. Let z(o) = b(o) + 4*c(o). Suppose z(j) = 0. What is j?
-14, 0, 4
Determine z, given that 568/7*z - 40328/7 - 2/7*z**2 = 0.
142
Let v be (8/(-6))/(28/21 - 2). Solve -183*g + 158*g - 7*g**2 + v*g**2 + 30 = 0 for g.
-6, 1
Let p be (-1)/3 + (-52)/(-21). Let d = -253137 - -253139. Find w, given that -6/7 + 3/7*w**3 - 12/7*w**d + p*w = 0.
1, 2
Let y be (-58)/(-66) - 27/(8 + 1). Let i = 27/11 + y. Solve -i + 0*m + 1/3*m**2 = 0 for m.
-1, 1
Let i = 45913/2 - 22955. Let j(l) be the second derivative of 3/2*l**3 - 32*l + i*l**2 - 3/10*l**6 + 1/2*l**4 - 1/14*l**7 + 0 - 3/10*l**5. Factor j(c).
-3*(c - 1)*(c + 1)**4
Suppose 0 = 2*p + 12 - 32. Suppose -z = -m - 1, -4*z + 0*m + p = -m. Determine d so that 1/5*d + 0 + 3/10*d**2 + 1/10*d**z = 0.
-2, -1, 0
Let r be 3/((27/39)/(3 - 2)). Let n(w) be the second derivative of 2*w**2 + 0 + 5*w - 28/15*w**6 - 4/5*w**5 + 7/2*w**4 + r*w**3. Solve n(l) = 0.
-1/2, -2/7, 1
Factor 45/2 - 1/4*a**3 - 67/4*a - 11/2*a**2.
-(a - 1)*(a + 5)*(a + 18)/4
Let v(l) be the second derivative of 37*l + 1/40*l**5 + 0*l**2 + 0*l**3 + 0 + 1/168*l**7 - 1/40*l**6 + 0*l**4. Find h such that v(h) = 0.
0, 1, 2
Let -1352/9 + 2024/9*y**3 + 688/9*y**2 - 2020/9*y - 4/9*y**5 + 664/9*y**4 = 0. Calculate y.
-2, -1, 1, 169
Let d = 322013/21 - 15333. Let k(p) be the second derivative of -8*p + 6/7*p**2 - 13/21*p**4 + d*p**3 + 0. Let k(v) = 0. What is v?
-3/13, 1
Suppose -8/3*z**3 - 376/9*z**2 + 2/9*z**4 - 448/3*z - 1408/9 = 0. Calculate z.
-4, -2, 22
Let k be (-6)/(-10)*(-136)/(-153). Let a(j) be the first derivative of 0*j**2 - 18 - 5/6*j**4 - k*j**5 + 0*j - 2/9*j**3. Let a(l) = 0. What is l?
-1, -1/4, 0
Suppose 0 - 142/5*m**4 + 2592/5*m**2 - 2/5*m**5 + 0*m - 2448/5*m**3 = 0. What is m?
-36, 0, 1
Let m be 19/21 + (40204/644 - 63). Let b = 8 - 5. Factor 5/3*n**2 - m*n**b - 7/3*n + 1.
-(n - 3)*(n - 1)**2/3
Solve -2*s**3 - 246*s**2 + 70*s - 952 - 1046*s + 16*s = 0.
-119, -2
Let 212/7*i - 96 - 4/7*i**3 + 16/7*i**2 = 0. Calculate i.
-7, 3, 8
Let j(h) = -9*h**2 - 8*h**2 + 2*h**3 + 2*h**3 + 19*h**2 + 3*h. Let i(o) = -o**3 + o**2 - o. Let w(y) = 3*i(y) + j(y). Suppose w(r) = 0. Calculate r.
-5, 0
Find d, given that -141/2 - 279/4*d + 3/4*d**2 = 0.
-1, 94
Let a(t) be the third derivative of -30*t**3 + 0 + 1/12*t**5 - 10/3*t**4 + 0*t - 55*t**2. Factor a(x).
5*(x - 18)*(x + 2)
Factor 29*i**2 + 2080*i - 11062 + 11947 + 6*i**2.
5*(i + 59)*(7*i + 3)
Let b(h) be the second derivative of -h**8/448 + 13*h**7/840 + h**6/40 + 85*h**4/12 + h - 8. Let t(w) be the third derivative of b(w). What is g in t(g) = 0?
-2/5, 0, 3
Factor 20/17*q**2 - 44/17 - 26/17*q + 2/17*q**3.
2*(q - 2)*(q + 1)*(q + 11)/17
Let i(x) be the first derivative of -2*x**3/21 - 62*x**2/7 + 1196. Factor i(f).
-2*f*(f + 62)/7
Let g(o) be the third derivative of 2*o**7/735 + 59*o**6/210 - 61*o**5/105 - 59*o**4/42 + 40*o**3/7 - o**2 - o - 78. Let g(d) = 0. Calculate d.
-60, -1, 1
Let u(j) = -196*j**2 + 621*j - 303. Let h(i) = -98*i**2 + 310*i - 150. Let v(x) = -5*h(x) + 2*u(x). Factor v(y).
2*(7*y - 18)*(7*y - 4)
Let l(p) be the second derivative of 0*p**2 - 1/4*p**4 + 0 + 0*p**3 - 74*p. Factor l(y).
-3*y**2
Let j(u) be the first derivative of 16*u**6/15 + 48*u**5/25 - 7*u**4/10 - 46*u**3/15