 688, -3*o + 4*z - 488 = 0. Let i be (16/o)/(5/(-70)). Let -i*j**4 - 4/3*j**2 - 2*j**3 + 0 - 1/3*j**5 - 1/3*j = 0. What is j?
-1, 0
Let h = -746304 - -746306. Factor -16/3*y**h + 56/9*y + 2/3*y**3 + 2/9*y**4 + 0.
2*y*(y - 2)**2*(y + 7)/9
Let m(p) = -29*p**2 - 61*p - 24. Let s be m(-6). Let l be s/(-540) - (-1)/(-2). Factor -l + 8/5*f**3 - 8/5*f + 0*f**2 + 4/5*f**4.
4*(f - 1)*(f + 1)**3/5
Suppose 153/2*l**4 - 483*l**2 - 12 - 101/2*l**3 - 158*l = 0. Calculate l.
-2, -2/9, -2/17, 3
Let a = 359574296 - 9485929500505/26381. Let n = a + 1/1147. Factor -4/23*m - n*m**2 + 0.
-2*m*(m + 2)/23
Find k such that -98/5*k - 108/5 - 22/5*k**2 = 0.
-27/11, -2
Find c, given that 79*c**2 - 127*c**2 - 285 - 290*c + 43*c**2 = 0.
-57, -1
Let g(q) be the second derivative of 3*q**7/70 - 19*q**6/50 - 387*q**5/100 + 39*q**4/4 - 5*q**3 + 51*q - 7. Suppose g(r) = 0. Calculate r.
-5, 0, 1/3, 1, 10
Let k = 146 - 134. Factor 12*u**3 - 2*u**4 + 286*u**2 - 12*u - 295*u**2 - u**4 + k.
-3*(u - 2)**2*(u - 1)*(u + 1)
Let a = 200 - 151. Determine l, given that -a*l**2 - 26 + 9*l**2 + 35*l**2 - 64 + 45*l = 0.
3, 6
Let f(j) be the second derivative of j + 0*j**3 - 1/5*j**5 + 0 + 2/21*j**7 + 0*j**2 - 2/3*j**6 + 5/3*j**4. Solve f(z) = 0.
-1, 0, 1, 5
Let w(o) be the third derivative of 0*o + 245/8*o**4 + 1/24*o**6 - 56*o**2 + 0 + 1715/6*o**3 + 7/4*o**5. Factor w(r).
5*(r + 7)**3
Factor 3/5*z**3 + 66/5*z**2 + 123/5*z + 12.
3*(z + 1)**2*(z + 20)/5
Let n = 215/2113 + 32303/14791. Factor 2/21*y**2 - 2/21*y**3 + n + 52/21*y.
-2*(y - 6)*(y + 1)*(y + 4)/21
Let n = -133115 + 931829/7. Let 4/7*a**3 + 32/7 + 48/7*a + n*a**2 = 0. What is a?
-2
Let k(x) be the third derivative of 1/720*x**6 + 1/360*x**5 + 0 - x**2 - 1/9*x**3 - 1/36*x**4 - 65*x. Factor k(s).
(s - 2)*(s + 1)*(s + 2)/6
Suppose 0 = -3*x + 15, 10*d - x = 14*d - 17. Suppose -5*i**d - 10*i**2 - 710 - 30*i**2 + 960 - 25*i = 0. Calculate i.
-5, 2
Factor -470890/3 + 2/3*h**3 - 878/3*h**2 + 98518/3*h.
2*(h - 217)**2*(h - 5)/3
Let a(j) be the third derivative of 0*j**3 + 1/8*j**6 + 0*j**5 + 0 + 11*j**2 + 0*j**4 + j - 1/70*j**7. Suppose a(x) = 0. What is x?
0, 5
Suppose 957 = 6*x + 11991. Let w = x + 1841. Find h, given that 1/4*h**5 + 0 + 0*h**3 - 1/4*h**4 + 0*h**w + 0*h = 0.
0, 1
Let z = -2955155/6 - -492526. Factor -8/3*l + 32/3 + z*l**2.
(l - 8)**2/6
Let n = 267325 - 1336241/5. Factor 32/5*d - 2/15*d**2 - n.
-2*(d - 24)**2/15
Let l(k) be the first derivative of -k**3 + 126*k - 33/2*k**2 + 214. Factor l(o).
-3*(o - 3)*(o + 14)
Let y(t) be the third derivative of t**5/180 - 11*t**4/72 - 17*t**3/3 + 1104*t**2. Factor y(j).
(j - 17)*(j + 6)/3
Let p(i) = -2*i**2 + 2030*i - 18108. Let c be p(9). Factor c*q - 1/3*q**3 + 3*q**2 + 0.
-q**2*(q - 9)/3
Suppose 89/6*n**3 + 95/6*n**2 + 45 - 151/2*n - 1/6*n**4 = 0. Calculate n.
-3, 1, 90
Let t be (24/(-30))/(5*(-42)/1125). Let t*v**2 + 12/7 - 94/7*v = 0. Calculate v.
2/15, 3
Let q be 4/(-14)*(-1828 + 1814). Suppose -4/3*o**3 + o**5 + 2/3*o**q + 1/3*o - 2/3*o**2 + 0 = 0. Calculate o.
-1, 0, 1/3, 1
Find h, given that -9660*h + 4516*h**2 - 25949*h + 90250 - 7616*h - 5*h**3 - 5456*h**2 = 0.
-95, 2
Suppose -4 = -2*a, -4*a + 16 = 41*w - 40*w. Factor -28*r**2 + w - 72*r - 99*r**3 - 8 + 103*r**3.
4*r*(r - 9)*(r + 2)
Factor 7/11*g**2 - 1340/11 + 4688/11*g.
(g + 670)*(7*g - 2)/11
Let q(x) be the third derivative of 0*x + 0*x**4 - 1/504*x**8 + 0*x**3 + 0 + 58*x**2 - 1/15*x**6 - 13/315*x**7 + 0*x**5. Solve q(a) = 0 for a.
-12, -1, 0
Let l(k) = 2*k + 54. Let y be l(0). Factor 5*d**3 - y - 222 + 85*d**2 + 400*d + 10*d**2 - 224.
5*(d - 1)*(d + 10)**2
Suppose -8 = -3*r + 4, 6*w - r = 6*r + 3440. Factor -w + 68/3*p - 2/9*p**2.
-2*(p - 51)**2/9
Let t = -3/997 + 4051/20937. Let o(m) be the first derivative of -29 - t*m**3 + 16/7*m + 6/7*m**2. Solve o(f) = 0.
-1, 4
Determine h, given that 19/10*h**2 - 84/5 + 5*h - 1/10*h**3 = 0.
-4, 2, 21
Let a(i) = -i**3 + 10*i**2 - 8*i - 7. Let x be a(9). Factor -3*u**4 - 3*u**2 + 4*u**4 - x + 471*u - 476*u + u**3.
(u - 2)*(u + 1)**3
Let r be (-55)/(-33) - (-8)/6. Factor -8*k**4 - 9*k**2 - 19*k**4 - 20*k + r*k**5 - 88*k + 69*k**3.
3*k*(k - 4)*(k - 3)**2*(k + 1)
Factor 0 - 13/5*s**2 - 1/5*s**4 + 6/5*s + 8/5*s**3.
-s*(s - 6)*(s - 1)**2/5
Let r(d) be the first derivative of -8/9*d**3 - 33 - 44/3*d - 19/3*d**2. Determine g, given that r(g) = 0.
-11/4, -2
Suppose 2*h = -p + 9, 0 = 5*p - 5*h + h - 3. Let w(s) be the second derivative of 0*s**2 + 0 + 1/80*s**6 + 0*s**p + 19*s + 0*s**4 + 3/160*s**5. Factor w(d).
3*d**3*(d + 1)/8
Let x(q) = -q**3 + 10*q**2 + 9*q + 22. Let f be x(11). Suppose -6*z - 3*z + 36 = f. Solve -1226*d - 5*d**z + 1226*d - 20*d**3 - 15*d**2 = 0 for d.
-3, -1, 0
Let u(r) be the first derivative of 14 + 0*r**2 - 1/60*r**6 - 11*r + 1/72*r**4 - 1/30*r**5 + 1/18*r**3. Let k(f) be the first derivative of u(f). Factor k(a).
-a*(a + 1)**2*(3*a - 2)/6
Let g be ((-6)/(-5))/((-102)/(-36584)). Let p = -430 + g. Factor -2/5*j**3 + 0*j**2 - 1/5*j**4 + 1/5 + p*j.
-(j - 1)*(j + 1)**3/5
Suppose -17*i - 45*i = -744. Suppose -2*k + 3*o - o - 6 = 0, 4*k + 4*o = i. Factor -2/3*q**3 + 2*q + k*q**2 - 4/3.
-2*(q - 1)**2*(q + 2)/3
Find q, given that 5*q**3 - 29*q**2 + 204*q**2 + 135*q**2 + 1725*q + 2953 - 433 = 0.
-56, -3
Suppose 6*i - 5*i = 4*i + 5*i. Let 2/9*t + 2/9*t**2 + i = 0. Calculate t.
-1, 0
Let i(d) = -d**3 + 2*d**2 - d + 7. Let v be i(0). Factor -11 + n**3 + 4*n**2 - 4*n**2 - v*n - 14*n - 9*n**2.
(n - 11)*(n + 1)**2
Let h = -32 + 60. Let a = 52 - h. Factor -4*w + 24 - a*w**2 - 20*w**2 + 40*w**2.
-4*(w - 2)*(w + 3)
Let f = 1536/11623 + -6/197. Let t = 35/236 + f. Find x, given that 0*x + 0 - 1/4*x**5 - t*x**4 + 1/4*x**3 + 1/4*x**2 = 0.
-1, 0, 1
Let a = 1293 + -2725/2. Let c = a + 71. Factor c*f**2 + 6*f + 9/2.
3*(f + 1)*(f + 3)/2
Suppose 0 = 13*w - 43*w + 60. Factor 64*l**2 + 32 + 4*l**3 - 4*l - 176*l**2 + 80*l**w.
4*(l - 8)*(l - 1)*(l + 1)
Let q = -1 + 1. Let c be 128/(-200)*(-44)/((-1760)/(-75)). Factor -2/5*w**3 + c*w + q*w**2 + 4/5.
-2*(w - 2)*(w + 1)**2/5
Let j(k) be the second derivative of 8*k**6/15 - 377*k**5/5 + 8930*k**4/3 - 4418*k**3/3 - 1598*k. Let j(g) = 0. What is g?
0, 1/4, 47
Let a(s) be the third derivative of s**9/113400 + s**8/2520 - 25*s**4/24 + 2*s**3/3 - 2*s**2 - 65. Let c(h) be the second derivative of a(h). Factor c(g).
2*g**3*(g + 20)/15
Let p be 4 + (1/(-5))/(110/550). Let u(b) be the second derivative of p*b + 1/12*b**4 + 0 + 18*b**2 + 2*b**3. Factor u(s).
(s + 6)**2
Suppose 9*s - 8*s - 39 = 0. Factor 4*b**2 - 8*b - s + 17 + 22.
4*b*(b - 2)
Let x(w) be the second derivative of -w**5/230 - 4*w**4/69 + 20*w**3/69 + 159*w - 6. Factor x(y).
-2*y*(y - 2)*(y + 10)/23
Let j = -350272/5 + 70055. Factor 7/5*t**2 - j + 7/5*t - 3/5*t**3.
-(t - 3)*(t + 1)*(3*t - 1)/5
Let s(h) be the third derivative of -2*h**2 - 1/300*h**6 + 2/525*h**7 - 1/840*h**8 + 0*h**3 + 0*h**4 + 0 - 77*h + 0*h**5. Determine p, given that s(p) = 0.
0, 1
Let z(q) be the third derivative of -q**5/40 - 13*q**4/72 - 4*q**3/9 + 92*q**2 - 4*q + 6. Find x such that z(x) = 0.
-2, -8/9
Let q = 455 - -6. Factor -t**3 + 17*t**2 - 3*t**4 - q*t**2 - 181*t**2 - 49*t**3 + 2*t**4.
-t**2*(t + 25)**2
Let h(u) = 4*u - 17. Let a(m) = -4*m + 17. Let l(w) = 4*a(w) + 5*h(w). Let k be l(7). Factor 2*d**4 + 48*d**2 + 27*d + 44*d**3 - k*d + 10*d**4.
4*d*(d + 1)*(d + 2)*(3*d + 2)
Let d(j) = -15*j**3 - 127*j**2 + 130*j - 8. Let l(m) = 11*m**3 + 128*m**2 - 130*m + 6. Let v(c) = 3*d(c) + 4*l(c). Determine n, given that v(n) = 0.
0, 1, 130
Factor -3*c**3 + 12*c**2 + 140*c + 4*c**3 - 2277*c**4 - 192 - 18*c**3 - 4*c**2 + 2278*c**4.
(c - 16)*(c - 2)**2*(c + 3)
Suppose 666 - 6 - 152*w - 32376*w**2 + 32380*w**2 = 0. What is w?
5, 33
Let p(t) be the second derivative of t**5/150 + 50*t**4/9 + 20999*t**3/15 + 41334*t**2/5 - 4*t - 61. Find f, given that p(f) = 0.
-249, -2
Factor 2/5 + 5/2*l**2 + 19/10*l**3 + 8/5*l + 7/10*l**4 + 1/10*l**5.
(l + 1)**3*(l + 2)**2/10
Let m(d) be the first derivative of -d**4/66 + 2*d**3/11 + 7*d**2/11 + 41*d + 28. Let x(l) be the first derivative of m(l). Let x(b) = 0. What is b?
-1, 7
Determine s, given that 77/4*s**2 + 0 - 4*s**3 + 1/4*s**4 - 49/2*s = 0.
0, 2, 7
Let o = 455 + -213. Let y be 3/(-15) - o/(-55). Solve -y*c**4 + 0*c + 6/5*c**3 + 0*c**2 + 0 = 0 for c.
0, 2/7
Let f(k) be the second derivative 