, 0
Let d = 66 + -51. Let -75*u**3 + d*u**3 - 10*u**2 - 10*u**5 - 10*u**2 - 45*u**4 = 0. Calculate u.
-2, -1/2, 0
Factor -255/4*n - 257/2 + 1/4*n**2.
(n - 257)*(n + 2)/4
Let z = -64 - -64. Suppose z = -9*b + 4*b + 15. Factor -11*n**3 + 3*n**5 + b*n + 29*n**3 + 21*n**3 - 36*n**2 + 9*n - 18*n**4.
3*n*(n - 2)**2*(n - 1)**2
Let p be (-7*16/56)/((-60)/540). Find q, given that -p - 39/5*q - 3/5*q**2 = 0.
-10, -3
Let v = -198364 + 198367. Factor 0 - 10*t**2 + 4*t + 9*t**v - 7/2*t**4 + 1/2*t**5.
t*(t - 2)**3*(t - 1)/2
Find h such that 0 + 28/15*h**2 + 0*h + 2/15*h**3 = 0.
-14, 0
Suppose -8*x - 3*a - 51 = -11*x, 4*x - a - 56 = 0. Suppose -36 = x*f - 36. Suppose -1/6*w**2 + f*w + 1/6 = 0. What is w?
-1, 1
Let u be ((11 - 1 - 5) + -4)*-5. Let o be (-3 - (-436)/130) + 1/u. Factor 2/13*f**2 + o*f**5 + 0*f + 6/13*f**3 + 6/13*f**4 + 0.
2*f**2*(f + 1)**3/13
Let j(p) be the third derivative of p**6/420 + 29*p**5/35 + 683*p**4/84 + 170*p**3/7 + 264*p**2. Factor j(m).
2*(m + 1)*(m + 3)*(m + 170)/7
Suppose 0 = 77*t - 17 - 83 - 54. Factor -4/13 - 2/13*m**3 + 4/13*m**t + 2/13*m.
-2*(m - 2)*(m - 1)*(m + 1)/13
Let n(h) be the second derivative of -h**4 - 26/3*h**3 + 20*h**2 + 0 + h**5 - 77*h + 2/15*h**6. Factor n(p).
4*(p - 1)**2*(p + 2)*(p + 5)
Let l(n) be the second derivative of -1/80*n**5 + 1 - 7/48*n**4 + 17/24*n**3 - 9/8*n**2 - 96*n. Find h such that l(h) = 0.
-9, 1
Solve 228/5*r + 0 + 2/5*r**2 = 0 for r.
-114, 0
Factor 7*b**2 - 500*b + 3*b**2 + 763 - 93 + 855*b.
5*(b + 2)*(2*b + 67)
Let m be 108/30*(-10)/(-2 + 4). Let c = m - -25. Let 5*l + 254 - 264 + c*l - 2*l**2 = 0. Calculate l.
1, 5
Let j be (27/84)/(6/(-16)) + 468/546. Factor j + 3/2*t**2 - 21/2*t.
3*t*(t - 7)/2
Let f(u) be the third derivative of -u**7/490 + u**6/280 + u**5/28 + 3*u**4/56 - 1254*u**2. Solve f(k) = 0 for k.
-1, 0, 3
Let f(j) be the first derivative of j**6/120 - 29*j**5/210 - 47*j**4/168 + 3*j**3/7 + 81*j**2/2 - 91. Let a(b) be the second derivative of f(b). Factor a(t).
(t - 9)*(t + 1)*(7*t - 2)/7
Let p be (-1)/26*(-572)/88*0. Solve p*x + 0 - 52/11*x**2 - 2/11*x**3 = 0.
-26, 0
Let f(n) be the third derivative of n**5/18 - 17*n**4/18 + 8*n**3/3 + 36*n**2 - 25*n. Let f(h) = 0. What is h?
4/5, 6
Let a(p) = -2*p**3 + 26*p**2 - 45*p + 15. Let y be a(11). Factor -100*d - 28 + 14 - 75 + 4*d**2 - 11 + y*d**3.
4*(d - 5)*(d + 1)*(d + 5)
Let h = 54 - 43. Suppose -h*u + 12*u = 27. Factor -9*o**2 - 5 - 12*o**3 + u*o + 1 + 0 - 2.
-3*(o - 1)*(o + 2)*(4*o - 1)
Let h(q) be the first derivative of 0*q - 4/9*q**3 - 5/6*q**2 + 1/12*q**4 - 88. Factor h(v).
v*(v - 5)*(v + 1)/3
Let q = -6794/5 - -1359. Let j(y) be the second derivative of 0*y**4 - 1/14*y**7 + 0*y**2 + 0 + 0*y**3 + q*y**6 + 15*y + 0*y**5. Factor j(d).
-3*d**4*(d - 2)
Let m(u) = -4*u**3 - 7*u**2 + 4*u + 17. Let s(d) = 3*d**3 + 7*d**2 - 4*d - 16. Let o(c) = -4*m(c) - 5*s(c). Factor o(t).
(t - 6)*(t - 2)*(t + 1)
Let p(v) = v**2 - 2*v - 8. Let a(z) = z**2 - 2*z - 9. Let j = -50 - -51. Suppose -s = -2*m + j, -3*s + 25 = -s + 5*m. Let o(i) = s*a(i) - 6*p(i). Factor o(c).
-(c - 3)*(c + 1)
Let y = 41 + -35. Let z be y/(-4)*-3 + (-17)/(-34). Determine b so that -4*b**5 - 135*b**3 - 135*b**2 - 3*b**4 - 42*b**4 + 2*b**z - 3*b**5 = 0.
-3, 0
Let i(z) be the second derivative of z**6/15 + z**5/2 + z**4/2 - 3*z**3 - 40*z + 8. Let i(b) = 0. What is b?
-3, 0, 1
Let i(g) be the third derivative of g**8/84 + 2*g**7/5 + 161*g**6/30 + 551*g**5/15 + 135*g**4 + 800*g**3/3 + 31*g**2 + 19*g. Solve i(x) = 0 for x.
-8, -5, -2, -1
Let z be (837 - 870) + 476/12. Find u such that z*u**2 + 0 - 2/3*u - 18*u**5 - 24*u**3 + 36*u**4 = 0.
0, 1/3, 1
Let l(x) be the second derivative of 3*x**5/130 + 1771*x**4/78 - 986*x**3/13 + 1184*x**2/13 + 1661*x - 2. Suppose l(g) = 0. What is g?
-592, 2/3, 1
Let x(r) = -5*r**3 + 10*r**2 + 9*r - 2. Let i be x(-1). Suppose -5*j = w - 11, 5*j + w - 4*w = 7. Factor -i*f**2 + 1 + 2 + 1 - 14*f + 14*f**j.
2*(f - 1)*(5*f - 2)
Find c such that -5*c**3 - 1957*c - 150 - 1934*c + 3896*c + 30*c**2 = 0.
-2, 3, 5
Let f = -18 - -21. Suppose 6*n = 7*n - f. Suppose 4*i - 2 - 12*i**2 - 3 + 2*i**3 + 14*i - n = 0. Calculate i.
1, 4
Factor -32*v - 485*v**3 + 417*v**2 - 1889*v**2 - 1072*v**4 - 178*v**5 + 44*v**3 - 1719*v**3.
-2*v*(v + 2)**3*(89*v + 2)
Let z = -302711 + 302711. Factor z + 3/4*g**3 - 3/4*g + 0*g**2.
3*g*(g - 1)*(g + 1)/4
Suppose -2*h - 35 = -5*r + 2*h, -21 = -3*r - h. Suppose -135 = 7*i - 34*i. Factor 15*x**3 + r*x**2 - 336*x**4 - 2*x**2 + 351*x**4 + i*x**5.
5*x**2*(x + 1)**3
Suppose 0 = -2*m - w + 6, -m + w + 8 = 2. Solve -m*g**3 - 12*g**3 - 4*g**2 + 709*g**4 - 705*g**4 + 16*g = 0 for g.
-1, 0, 1, 4
Let w be -80 - -96 - (-740)/(-50). Solve -w*s + 3/5*s**2 - 9/5 = 0 for s.
-1, 3
Let u be 3/(27/723) + (-7)/21. Let a be (15/12 + u/(-64))/1. What is q in 1/4*q**2 + a + 5/4*q = 0?
-5, 0
Let x = -258316 - -258318. Factor -510/7*l - 450/7 - 2/7*l**3 - 62/7*l**x.
-2*(l + 1)*(l + 15)**2/7
Let r = 1301000 - 1300998. Factor 578/9*i + 0 - 134/9*i**3 + 4/9*i**4 + 1088/9*i**r.
2*i*(i - 17)**2*(2*i + 1)/9
Let v = -78 - -134. Suppose -5*z**2 - v*z**3 - z**3 - 33*z**4 + 9*z**5 + 5*z**2 - 15*z**2 = 0. Calculate z.
-1, -1/3, 0, 5
Let y(t) = -2*t**2 - 2*t + 38. Let a be y(0). Factor -a*u**2 - 4*u**4 - 80 - 48*u - 14*u**2 - 24*u**3 + 64.
-4*(u + 1)**2*(u + 2)**2
Let p(w) = 8*w + 83. Let b be p(-10). Let u(z) be the first derivative of -1/4*z**b + 0*z + 15 + 0*z**2. Factor u(l).
-3*l**2/4
Let -8*z**2 - 19*z**2 - 25*z**2 + 168*z + 4*z**4 - 24*z**3 = 0. What is z?
-3, 0, 2, 7
Let g(w) be the first derivative of w**5 + 65*w**4/2 - 495*w**3 + 1575*w**2 - 10559. Factor g(d).
5*d*(d - 6)*(d - 3)*(d + 35)
Let y(b) = -18*b**3 - 12*b**2 + 45*b + 39. Suppose -15 = -j - 2*j, -2*j = 2*i - 12. Let u(z) = -z**3 - z**2 + z + 1. Let f(k) = i*y(k) - 15*u(k). Factor f(q).
-3*(q - 4)*(q + 1)*(q + 2)
Let c = 21345006 + -241134526642/11297. Let i = c - -2/1027. Solve 2/11*b**4 + 0 + 14/11*b**2 - i*b - 10/11*b**3 = 0 for b.
0, 1, 3
Let t(w) be the first derivative of -7*w**2/2 - 19*w + 82. Let q be t(-3). Factor 1/3 + 1/6*g**4 + 5/6*g**3 + 7/6*g + 3/2*g**q.
(g + 1)**3*(g + 2)/6
Factor -60*z - 124/9*z**2 - 200/9 + 16/3*z**3.
4*(z - 5)*(z + 2)*(12*z + 5)/9
Suppose -1707*w - 4*q - 28 = -1703*w, q = -14*w + 19. What is r in 0 - 2/7*r**5 + 22/7*r**3 + 16/7*r + 36/7*r**w + 0*r**4 = 0?
-2, -1, 0, 4
Suppose 27/5*k**3 - 7/5*k**4 - 13/5*k**2 - 27/5*k + 4 = 0. What is k?
-1, 1, 20/7
Let a(w) be the second derivative of -w**7/168 - 11*w**6/120 + 27*w**5/40 - 43*w**4/24 + 59*w**3/24 - 15*w**2/8 - 539*w. Factor a(j).
-(j - 1)**4*(j + 15)/4
Let s(m) be the second derivative of m + 1 + 0*m**2 - 1/20*m**4 + 0*m**3. Factor s(h).
-3*h**2/5
Let y be (20/3)/((0 + 1)/3). Let a = y + -15. Determine o so that -6*o**a + o**4 - 16*o**2 + 32 + 0*o**4 + 48*o**3 - 21*o - 75*o + o**4 = 0.
-2, 1/3, 2
Let c(i) be the second derivative of -i**6/70 - 894*i**5/35 - 133206*i**4/7 - 52927184*i**3/7 - 11829225624*i**2/7 - 1071*i - 1. Factor c(o).
-3*(o + 298)**4/7
Suppose 264 = 248*l - 232. Let 272/9*n**l - 100/9*n + 8/9 = 0. What is n?
2/17, 1/4
Let j(o) be the second derivative of -2*o - 1225/2*o**2 + 35/3*o**3 - 1/12*o**4 - 6. Factor j(u).
-(u - 35)**2
Factor -54/7*x + 8 - 2/7*x**2.
-2*(x - 1)*(x + 28)/7
Let p(b) be the second derivative of -b**7/28 + 7*b**6/30 - 7*b**5/20 - b**4/3 + 17*b**3/12 - 3*b**2/2 + 72*b - 2. Find o such that p(o) = 0.
-1, 2/3, 1, 3
Let x(m) = -m**2. Suppose 46 = -3*v + 8*v + 2*o, v - 23 = -5*o. Let c(i) = -2*i**3 - 2*i**2 + 2*i + 10. Let d(h) = v*x(h) + c(h). Factor d(w).
-2*(w - 1)*(w + 1)*(w + 5)
Let v(n) = n**2 + 9*n + 3. Let t be v(-10). Suppose -2*o - 7 = -s, -4*s + o + 2 = 6*o. Factor 6*g**4 + 2*g**2 - 10*g**s - 4*g**2 - g**4 - t*g**2.
5*g**2*(g - 3)*(g + 1)
Let w = -21245 + 63745/3. Solve w*d + 0 - 2/9*d**3 - 28/9*d**2 = 0 for d.
-15, 0, 1
Find w, given that 4000/13*w**2 + 9472/13*w + 2/13*w**5 + 62/13*w**4 + 732/13*w**3 + 6144/13 = 0.
-8, -6, -1
What is l in -291*l - 45*l + 332 - 134*l**2 + 138*l**2 = 0?
1, 83
Let n(a) = a**3 - 4*a**2 + 6*a - 7. Let p(r) = -r**2 + 16*r + 20. Let h be p(17). Let d be n(h). Let -7 - 3*u - 2 + 9*u**d + 2*u**3 + u**3 = 0. Calculate u.
-3, -1, 1
Solve 15/4*j + 3/4*j**2 - 132 = 0.
-16, 11
Let b(x) be the first derivative of -1156*x - 68*x**2 - 4/3*x**3 + 58. Sol