se -5*b**2 + y*b + 7*b**2 - 4 - 9*b = 0. What is b?
-1, 2
Let h(v) = 39*v**3 + 77*v**2 + 58*v - 1. Let x(n) = -n**2 + 5*n - 1. Let d(o) = -h(o) + 3*x(o). Factor d(i).
-(i + 1)**2*(39*i + 2)
Let j(y) be the third derivative of 0*y**3 - 1/660*y**6 + 0*y + 0*y**4 + 2/55*y**5 - 56*y**2 + 0. Factor j(x).
-2*x**2*(x - 12)/11
Suppose -100*b = -166*b + 198. Let m(h) be the first derivative of -18/5*h**5 - 6 + 70/3*h**3 + b*h**4 - 24*h**2 + 8*h. Find a, given that m(a) = 0.
-2, 1/3, 2
Let c(a) be the third derivative of -a**7/105 - 17*a**6/5 - 5303*a**5/15 - 1717*a**4 - 10201*a**3/3 - 1320*a**2. Factor c(j).
-2*(j + 1)**2*(j + 101)**2
Let v(s) be the first derivative of 98 - 2/17*s**2 + 2/51*s**3 - 16/17*s. Factor v(m).
2*(m - 4)*(m + 2)/17
Suppose 0 = 27*j - 79 - 29. Let u(i) be the first derivative of 0*i - 8*i**3 - 4*i**2 - 3/2*i**j + 2*i**5 + 21. Factor u(f).
2*f*(f - 2)*(f + 1)*(5*f + 2)
Let b = 1299133 - 1299133. Let 0 + 4/9*h**2 + b*h + 14/9*h**3 - 8/9*h**4 = 0. Calculate h.
-1/4, 0, 2
Let h(s) be the first derivative of -3*s**5/20 - 945*s**4/8 - 99225*s**3/4 + 904. Let h(q) = 0. Calculate q.
-315, 0
Let j(x) be the second derivative of -x**5/10 - 59*x**4/3 + 81*x**3 + 360*x**2 - 4914*x. Solve j(u) = 0 for u.
-120, -1, 3
Factor 0*a - 48/17*a**2 - 2/17*a**4 + 0 + 22/17*a**3.
-2*a**2*(a - 8)*(a - 3)/17
Suppose 2*k = -y - 2, -5*y + 14 - 54 = 0. Let f(i) be the second derivative of -3/20*i**5 + 2*i**k - 15*i + 0*i**2 + 0 + 0*i**4. Factor f(s).
-3*s*(s - 2)*(s + 2)
Let v = 2183 - 2178. Let s(u) be the second derivative of 0 + 2*u - 1/30*u**v + 1/9*u**3 + 1/6*u**4 - u**2. Find n, given that s(n) = 0.
-1, 1, 3
Let b be 216/162 + 2/(-2) + 5/3. Let m(g) be the second derivative of -6*g - 1/30*g**3 + 1/150*g**6 + 0 + 1/100*g**5 + 1/5*g**b - 1/20*g**4. Factor m(c).
(c - 1)**2*(c + 1)*(c + 2)/5
Suppose -2*c + 245 = c + 5*v, -c - 5*v + 65 = 0. Suppose -d - 564 = -48*d. What is w in d*w**4 + 25 + 27*w + c*w**2 - 69*w**3 - 25 = 0?
-1/4, 0, 3
Factor -48*s**3 + 3390*s**2 + 3*s**4 - 744 - 3408*s**2 + 1080*s - 1281.
3*(s - 15)*(s - 3)**2*(s + 5)
Factor -108 + 141/4*i + 1/4*i**2.
(i - 3)*(i + 144)/4
Factor -10329*l**3 - 14*l**2 - 3*l**4 + 7*l**4 + 10307*l**3 + 12*l.
2*l*(l - 6)*(l + 1)*(2*l - 1)
Let y(g) = 5*g**2 - 27*g - 18. Let c be y(6). Suppose c = -3*d - z + 15, 3*z - 7 = 2*d - 6. Find a such that 4/3 + a**d + 2/3*a**3 - 3*a**2 + 0*a = 0.
-2, -2/3, 1
Suppose -10*w + 19 = -r, 86 = w - 5*r + 138. What is c in 0 - c**2 - 3*c + 7/4*c**w - 1/4*c**4 = 0?
-1, 0, 2, 6
Suppose -z = -4*z + 12. Suppose 3*g - p - 146 = z*p, -4*g + 5*p = -203. Factor g - 3*n**2 - 5*n**2 - 57 - 4*n.
-4*n*(2*n + 1)
Let i be 6/4*290/87. Factor -22*h**3 + i*h**3 + 13*h**3 + 4*h + 20*h**2 - 20*h**4.
-4*h*(h - 1)*(h + 1)*(5*h + 1)
Let k(w) = 29*w**3 - 109*w**2 + 577*w + 690. Let i(m) = -18*m**3 + 54*m**2 - 288*m - 345. Let d(z) = 5*i(z) + 3*k(z). What is u in d(u) = 0?
-23, -1, 5
Let i(k) = -k**2 + 6390*k - 12680. Let m(l) = 2*l**2 - 8520*l + 16900. Let d(n) = -11*i(n) - 8*m(n). Factor d(t).
-5*(t - 2)*(t + 428)
Let h = -8807/12 - -734. Let y(n) be the third derivative of 25/24*n**4 + 0*n**3 - 4*n**2 + 0 - h*n**5 + 0*n. Factor y(i).
-5*i*(i - 5)
Let x = -1215 - -1235. Suppose -x*l - 15 = -25*l. Factor -8/13*k**l - 24/13*k**2 + 128/13 + 2/13*k**4 + 64/13*k.
2*(k - 4)**2*(k + 2)**2/13
Let z(g) be the third derivative of -g**7/280 + 13*g**6/160 + 3*g**5/16 - 13*g**4/32 - 7*g**3/4 - 469*g**2. Let z(q) = 0. Calculate q.
-1, 1, 14
Factor -516*s**2 - 1503*s - 1938*s - 164*s**3 + 2917*s + 4*s**4 - 176.
4*(s - 44)*(s + 1)**3
Let d = 8578 + -3210. Let m be (d/6 + -2)/((-4)/(-6)). What is r in 2*r**5 + m*r**3 - 1341*r**3 + 0*r**5 = 0?
-1, 0, 1
Factor -3/7*k**2 - 219 + 1536/7*k.
-3*(k - 511)*(k - 1)/7
Factor 25*w**3 + 1/3*w**4 + 1283/3*w**2 - 2028 - 1625*w.
(w - 4)*(w + 1)*(w + 39)**2/3
Suppose -562*w = -633*w + 426. Let k(c) be the third derivative of 0*c + 0*c**5 + 27*c**2 - 5/24*c**4 + 0 + 1/24*c**w + 0*c**3. Factor k(y).
5*y*(y - 1)*(y + 1)
Let h(q) be the first derivative of 6*q**3 + 3/2*q**2 + 3/2*q**6 - 6*q - 12/5*q**5 - 3*q**4 + 9. Suppose h(z) = 0. Calculate z.
-1, -2/3, 1
What is k in -2/5*k**3 - 282/5*k - 20*k**2 + 0 = 0?
-47, -3, 0
Suppose -2*f + 15 = 3*f. Suppose p - f*p = -g + 18, -5*p - 30 = -g. Find u, given that -g + 0 + 0*u**2 + 15*u - 5*u**2 = 0.
1, 2
Let i = 268 - 265. Find z such that -59*z - 65*z**2 - z**3 - 4*z**i - 25*z**2 - 80 - 106*z = 0.
-16, -1
Solve 372/5 - 74/5*a + 2/5*a**2 = 0.
6, 31
Let r(v) = v**3 + v**2 - 9*v - 9. Let p(i) = i**3 + i**2 - 6*i - 6. Suppose 0 = -8*s - 4 - 36. Let b(x) = s*r(x) + 8*p(x). Let b(q) = 0. What is q?
-1, 1
Suppose 21*z - 56*z + 303 = 66*z. Let 6/5*n**5 + 36/5*n**2 - 28/5*n**z - 26/5*n**4 + 22/5*n - 2 = 0. What is n?
-1, 1/3, 1, 5
Let w(m) be the second derivative of 2 + 0*m**2 + 0*m**3 - 15/16*m**4 - 97*m + 21/40*m**5 + 1/40*m**6. Factor w(u).
3*u**2*(u - 1)*(u + 15)/4
Let p(u) = -4*u + 41. Let o be p(7). Let i(g) = -7*g + 94. Let a be i(o). Factor 2/3*h + 1/3*h**4 - 2/3*h**2 + 0 - 1/2*h**a + 1/6*h**5.
h*(h - 1)**2*(h + 2)**2/6
Factor 50*i - 108 + 5*i**2 - 85 - 402.
5*(i - 7)*(i + 17)
Let r(x) be the first derivative of -5*x**7/168 - x**6/6 - 3*x - 83. Let y(m) be the first derivative of r(m). Find z such that y(z) = 0.
-4, 0
Let l(a) be the first derivative of 2*a**3/51 - 284*a**2/17 + 40328*a/17 - 494. Factor l(r).
2*(r - 142)**2/17
Let r(a) be the second derivative of a**5/40 - 185*a**4/12 + 8648*a**3/3 - 16928*a**2 + 12*a + 66. Determine l so that r(l) = 0.
2, 184
Let s be 0/((-6)/(-30)*20). Let q(t) be the second derivative of s*t**2 + 0 - 1/45*t**6 + 0*t**3 - 17*t + 1/10*t**5 - 1/9*t**4. Factor q(l).
-2*l**2*(l - 2)*(l - 1)/3
Let b(c) = 728*c + 5099. Let k be b(-7). Determine o so that -9*o**2 + 3/2*o**4 - 9/2 + 0*o**k - 12*o = 0.
-1, 3
Suppose -5*m = 5*a, -a + 6 = 2*m - 4*m. Suppose -3*q + a*c = -q - 12, -c = -3*q + 12. Factor 18*g**4 - 4*g**2 + q*g - 12*g**2 + 7*g - 2*g - 6*g**3.
2*g*(g + 1)*(3*g - 2)**2
Let v(q) be the third derivative of -q**8/10080 - q**7/1260 - q**6/360 - 47*q**5/60 + 18*q**2 + 2. Let y(a) be the third derivative of v(a). Factor y(j).
-2*(j + 1)**2
Find v, given that 47*v**2 - 11/2*v + 11/2*v**5 - 48*v**3 - 6 + 7*v**4 = 0.
-4, -3/11, 1
Let y(x) be the second derivative of 2/105*x**6 + 2*x - 3/35*x**5 - 14 - 2/21*x**3 + 0*x**2 + 1/7*x**4. Find w, given that y(w) = 0.
0, 1
Let x(i) be the first derivative of -i**4/10 + 1496*i**3/5 - 1258884*i**2/5 + 7523. Factor x(u).
-2*u*(u - 1122)**2/5
Let v = 3107/46 + -1542/23. Let i(h) be the third derivative of 1/24*h**6 + v*h**5 + 0*h - 22*h**2 + 0*h**3 + 0 + 15/8*h**4. What is q in i(q) = 0?
-3, 0
Let o(d) = 2*d**4 - 18*d**3 + 3*d**2 - 9. Let w(f) = -6*f**4 + 36*f**3 - 7*f**2 + 21. Let m(u) = -7*o(u) - 3*w(u). Factor m(r).
2*r**3*(2*r + 9)
Let x = 415129/21 - 19768. Let n(m) be the first derivative of 0*m**2 + 1/2*m**4 + 2/7*m**5 + x*m**6 + 0*m - 16 + 2/7*m**3. Suppose n(b) = 0. Calculate b.
-3, -1, 0
Let p = -98 - -150. Let v be p/8 - -4*3/(-8). Factor 5*f**2 - 9*f + v*f**2 - 3 + 2*f**2.
3*(f - 1)*(4*f + 1)
Suppose 2*f - 170 = -4*r, -3*f + 72 = 3*r - 51. Find v such that 6*v**2 - 20*v + 12*v - r*v + 32 = 0.
2/3, 8
Let b(n) be the second derivative of 3*n**5/20 - n**4/4 - 6*n**3 + 534*n. Factor b(v).
3*v*(v - 4)*(v + 3)
Let v = -179 - -200. Factor 2*w**3 - w**4 - 15*w - v*w + 36*w - w**2.
-w**2*(w - 1)**2
Let y = -118 + 123. Factor 2*r**y + 52*r**3 - 53*r**3 - r**5 - 4*r**4 + 2*r**2 + 2*r**4.
r**2*(r - 2)*(r - 1)*(r + 1)
Let o = 2915/2121 + 678/707. Find g, given that 2432*g + 2048/3 + o*g**3 + 150*g**2 = 0.
-32, -2/7
Suppose 0*k = -k + 2. Suppose -k*i + i - 2*n = 3, 4*i = -n + 9. Determine l, given that -11 - i + 4 + 2*l**3 - 5*l**4 + 3*l**3 + 15*l**2 - 5*l = 0.
-1, 1, 2
Suppose -24 = -32*i + 26*i. Suppose -2*j - 4 = -p, 0 = p - 6*p + i*j + 8. Find s, given that 8/3*s**2 + 2*s**3 + 2/3*s + p = 0.
-1, -1/3, 0
Let t(x) be the third derivative of -x**5/240 + x**4 + 97*x**3/24 + x**2 - 721*x. Factor t(q).
-(q - 97)*(q + 1)/4
Suppose 0 = 20*v + 25 + 35. Let g be v - 3 - (-99)/11. Factor -2/9*z**2 + 2/9 - 2/9*z + 2/9*z**g.
2*(z - 1)**2*(z + 1)/9
Factor 870 + 2615/3*w + 5/3*w**2.
5*(w + 1)*(w + 522)/3
Let g = 783758 - 783756. Factor -48/7 + 22/7*z + 1/7*z**g.
(z - 2)*(z + 24)/7
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