2. Let s(o) = -1 - 4*o - 2 + 3*o**2 - 2*o**2 + 14*o**2. Let y(t) = -6*j(t) - 4*s(t). Factor y(a).
2*a*(9*a - 1)
Let n = -25 + 7. Let z = n - -42. What is l in 3*l - 4*l**5 - 52*l**3 + 48*l**2 - 3*l - 16*l + z*l**4 = 0?
0, 1, 2
Let i(s) be the third derivative of s**8/2688 - s**7/840 - s**6/320 + s**5/120 + s**4/48 + 1805*s**2. Suppose i(z) = 0. What is z?
-1, 0, 2
Let h be (-3)/(-2 - (-412)/212). Factor -21*w + 3*w - 2*w**4 - 53 - 14*w**3 - 30*w**2 + h.
-2*w*(w + 1)*(w + 3)**2
Let 0 + 172/3*b + 1/6*b**4 - 47/3*b**2 - 41/6*b**3 = 0. What is b?
-4, 0, 2, 43
Let k = 25053/4 - 6263. Let o(r) be the first derivative of 5 + 12*r**2 + 0*r + 3/8*r**4 + k*r**6 + 9/5*r**5 - 12*r**3. Factor o(u).
3*u*(u - 1)**2*(u + 4)**2/2
Suppose -4*h = -g - 3*h + 4, -2*h - 20 = -5*g. Suppose -5*k - 4*p = -60, -g*k - p + 42 = p. Find i such that i**3 + 96 + i**3 + k*i**2 + 2*i + 0*i**3 - 108 = 0.
-3, -2, 1
Let z(i) be the first derivative of -3/4*i**3 - 1/2*i - 1/20*i**5 - 61 + 7/8*i**2 + 5/16*i**4. Factor z(w).
-(w - 2)*(w - 1)**3/4
Let s(x) be the third derivative of -2*x**7/15 - 122*x**6/15 - 742*x**5/5 - 850*x**4/3 + 578*x**3/3 - 65*x**2. What is h in s(h) = 0?
-17, -1, 1/7
Let p(q) = 55*q**4 - 2715*q**3 + 2695*q**2 + 2760*q - 2795. Let f(n) = 5*n**4 - 247*n**3 + 245*n**2 + 251*n - 254. Let t(a) = 45*f(a) - 4*p(a). Factor t(l).
5*(l - 50)*(l - 1)**2*(l + 1)
Let o(r) = -3*r**2 - 82*r - 544. Let j be o(-16). Factor j - 1/7*c - 1/7*c**2.
-c*(c + 1)/7
Suppose 0 = 5*u - 9*u + 8. Factor 8*h**u + 2*h**4 + h**4 + 46*h - 35*h**2 + 9*h**3 - 31*h.
3*h*(h - 1)**2*(h + 5)
Let l(z) be the second derivative of z**7/56 + 27*z**6/10 - 33*z**5/4 + z**4/8 + 219*z**3/8 - 165*z**2/4 - 546*z. Determine p so that l(p) = 0.
-110, -1, 1
Let o(t) be the second derivative of -t**9/60480 + t**8/6720 - t**7/2520 - 29*t**4/12 + t**3/6 - 5*t + 1. Let m(l) be the third derivative of o(l). Factor m(d).
-d**2*(d - 2)**2/4
Let u(d) be the third derivative of d**8/840 - 8*d**7/175 + 17*d**6/50 - 68*d**5/75 + 19*d**4/20 - 68*d**2 - 3*d. Let u(m) = 0. Calculate m.
0, 1, 3, 19
Let q(l) = -30*l**2 + 1418*l - 284. Let t(x) = 92*x. Let y(v) = -q(v) + 12*t(v). Solve y(z) = 0.
1, 142/15
Let -2/5*n**5 - 228/5*n**4 - 71712/5*n - 7520*n**2 - 7152/5*n**3 - 46656/5 = 0. Calculate n.
-54, -2
Let t(o) be the third derivative of -o**5/15 + 12*o**4 - 1240*o**3/3 - 10987*o**2. Let t(i) = 0. What is i?
10, 62
Suppose 4*l = -5*x - 10, l - 23 = x + 6*l. Suppose m = -2*q - 2, m - x*q + 0*q = 6. Find h such that -4/7*h + 2/7*h**m - 6/7 = 0.
-1, 3
Let i(h) be the first derivative of -44/7*h**2 + 2/63*h**3 + 2904/7*h + 219. Factor i(z).
2*(z - 66)**2/21
Solve 36/5*p**2 + 27/5*p**3 - 1/5*p**5 + 0*p + 0 - 2*p**4 = 0.
-12, -1, 0, 3
Factor 0 + 0*w - 2/5*w**4 + 16/5*w**2 - 14/5*w**3.
-2*w**2*(w - 1)*(w + 8)/5
Let g(n) be the second derivative of -n**7/21 + n**6/30 + 7*n**5/10 - 19*n**4/12 + n**3 + 1616*n. Find m such that g(m) = 0.
-3, 0, 1/2, 1, 2
Factor 1/2*w**3 - 3*w + 0 + 5/2*w**2.
w*(w - 1)*(w + 6)/2
Suppose -32 = 5*d - 7. Let i be d + 428/36 + -1 + -5. Factor -2/9*c**5 + 0*c + 0*c**2 - 8/9*c**3 + 0 + i*c**4.
-2*c**3*(c - 2)**2/9
Factor 0*n + 10000*n**2 + 0 + 4/9*n**4 - 400/3*n**3.
4*n**2*(n - 150)**2/9
Let o be (1820/(-12))/(-5) + (426 - 440). Solve 56/3*r + 20 - o*r**2 + 1/3*r**5 - 19*r**3 - 11/3*r**4 = 0 for r.
-2, -1, 1, 15
Let j(o) = -6*o**3 - 8*o**2 + 105*o - 22. Let c be j(-5). Determine x so that -280/9*x - 400/9 - 44/9*x**2 - 2/9*x**c = 0.
-10, -2
Let y = 589176 - 589176. What is k in y + 74/5*k**2 - 72/5*k - 2/5*k**3 = 0?
0, 1, 36
Let a(n) be the first derivative of -71 - 55/6*n**2 - 5/12*n**4 - 20/3*n**3 + 0*n. Factor a(z).
-5*z*(z + 1)*(z + 11)/3
Let c(w) be the first derivative of w**6/135 + w**5/90 - w**4/18 - 5*w**3/27 - 2*w**2/9 + 22*w - 16. Let j(f) be the first derivative of c(f). Factor j(a).
2*(a - 2)*(a + 1)**3/9
Let g(c) be the third derivative of c**8/6720 - 13*c**7/10080 + c**6/720 + 5*c**5/4 + 19*c**2. Let i(q) be the third derivative of g(q). Factor i(l).
(l - 2)*(6*l - 1)/2
Let z = -30515 + 30515. Let r(d) be the first derivative of 2/5*d**5 + 23 - 5*d**2 - 2/3*d**3 + z*d + 5/2*d**4. Factor r(v).
2*v*(v - 1)*(v + 1)*(v + 5)
Let i be ((-21)/((-63)/5))/(10/12). Suppose -2*u - 9*l = -5*l + 12, -2*l = i*u + 6. Solve 2/9*h**2 + 2/9*h**5 + 2/3*h**4 + u + 0*h + 2/3*h**3 = 0 for h.
-1, 0
Let q(x) be the first derivative of -3*x**5/35 - 3*x**4/7 - 3*x**3/7 + 1098. Factor q(p).
-3*p**2*(p + 1)*(p + 3)/7
Let k = 7441 + -5308. Let l = k - 10663/5. What is f in 2/15*f**4 + 0*f + 0 + 8/15*f**3 + l*f**2 = 0?
-3, -1, 0
Suppose -2*q + 97 = 5*p, 5*q - 4*q - p = 52. Determine h, given that -2*h**4 - q*h**3 - 2*h**2 - 47*h**3 + 102*h**3 = 0.
0, 1
Let k(d) = -7*d**2. Let w be k(1). Let b = -5 - w. Factor 4*m**2 + 18*m + 21 - 4*m**b - 3*m**2.
-3*(m - 7)*(m + 1)
Factor 1174 - 1174 - 302*r + r**2 + 2*r**2 + 101*r.
3*r*(r - 67)
Let z(o) be the second derivative of o**4/20 + 127*o**3/10 - 1387*o. Suppose z(d) = 0. Calculate d.
-127, 0
Let g be (-160)/12*75/375*(-3)/5. Suppose -g + 2/5*d**2 + 0*d = 0. What is d?
-2, 2
Let m be 3/2*(2 + 20/15). Factor -20*c**2 - 52*c**4 + 40*c**2 - 5*c**m + 37*c**4.
-5*c**2*(c - 1)*(c + 2)**2
Find p, given that 310*p**2 - 120 - 117*p**2 - 147*p**2 - 24*p**4 - 462*p**2 + 388*p + 172*p**3 = 0.
2/3, 1, 5/2, 3
Let a be 42999/741 + 6/(-57). Let y = a + -57. Factor -18/13 - y*u - 2/13*u**2.
-2*(u + 3)**2/13
Let d = 107515 - 107513. Factor d + 1/2*g**2 + 5/2*g.
(g + 1)*(g + 4)/2
Suppose -5*x = -2486 + 866. What is y in -77*y**2 - 323*y - 66*y - 7*y + y**2 - 4*y**3 - x = 0?
-9, -1
Determine r, given that 3/2*r**2 - 1035/2 - 168*r = 0.
-3, 115
Let t(y) be the second derivative of y**5/45 + 17*y**4/9 + 160*y**3/3 + 6200*y**2/9 + 81*y - 8. Factor t(l).
4*(l + 10)**2*(l + 31)/9
Let r(m) be the second derivative of -1/165*m**6 + 29*m + 5/66*m**4 - 4/11*m**2 - 3/110*m**5 + 0 + 1/11*m**3. Suppose r(d) = 0. What is d?
-4, -1, 1
Let c = 41 + -14. Suppose -l + 2 = -c. Solve 6*u**2 - 2*u**5 - 24*u**4 + 10*u**3 - l*u**4 + 55*u**4 = 0.
-1, 0, 3
Let v = 24 + -22. Factor x**3 + x**3 + 4*x**v + 16*x - 14*x.
2*x*(x + 1)**2
Let x(h) = h**5 + 2*h**4 - h**3 - 3*h**2. Let m(g) = g**2. Let w(j) = 5*m(j) + 5*x(j). Factor w(v).
5*v**2*(v - 1)*(v + 1)*(v + 2)
Let j = 12 - 10. Factor 25*w**3 + 4*w**j + 3*w**4 - 4*w**4 - 45*w**3 + 19*w**3 + 4*w.
-w*(w - 2)*(w + 1)*(w + 2)
Factor 356*t**3 + 17*t**4 - 828 - 21*t**4 + 966 - 668*t**2 - 1530 - 2420*t.
-4*(t - 87)*(t - 4)*(t + 1)**2
Let r be (-6 + 8)/((-360)/396) - -4. Determine x so that 0 + r*x**2 + 0*x + 12/5*x**3 + 3/5*x**4 = 0.
-3, -1, 0
Factor 2/5*g**2 + 80*g - 402/5.
2*(g - 1)*(g + 201)/5
Suppose -2*s - 4 + 8 = h, 4*h - 10 = -2*s. Suppose -7*b - 7 - 3*b**2 + 2*b**2 + h*b**2 - 11 = 0. Calculate b.
-2, 9
Let w(d) be the first derivative of d**4/4 - 151*d**3/3 - 77*d**2 + 304*d + 1513. Factor w(o).
(o - 152)*(o - 1)*(o + 2)
Solve 0*v + 2/3*v**4 + 0*v**3 + 0 - 6*v**2 = 0.
-3, 0, 3
Let s(i) be the second derivative of 14*i**6/5 + 171*i**5/40 + i**4/8 - i - 253. Factor s(a).
3*a**2*(a + 1)*(56*a + 1)/2
Let t(l) be the first derivative of -l**7/2520 - l**6/216 - l**5/90 - l**3/3 + 21*l**2/2 - 79. Let f(v) be the third derivative of t(v). Factor f(r).
-r*(r + 1)*(r + 4)/3
Let z(i) = -i**3 + 4180*i**2 + 1428300*i + 164254500. Let q(u) = -u**3 + 8*u**2. Let p(s) = -5*q(s) + z(s). Solve p(w) = 0.
-345
Let d(w) = -2*w + 344. Let r be d(47). Let o = -247 + r. Factor 3/4*v**2 + o - 3*v.
3*(v - 2)**2/4
Suppose 3*o - 11 + 95 = 0. Let p = 28 + o. Suppose -30*s + 30*s**2 + p*s - 30*s - 5*s**3 + 23 + 17 = 0. Calculate s.
2
Suppose 149*n - 70 = 526. Let l(p) be the third derivative of -5/72*p**n - 13*p**2 + 0*p**3 + 0 + 0*p - 1/12*p**5. Factor l(k).
-5*k*(3*k + 1)/3
Let k(a) be the second derivative of a**6/30 + a**5/20 - 15*a**4/4 - 25*a**3/6 + 250*a**2 - 485*a. Factor k(q).
(q - 5)*(q - 4)*(q + 5)**2
Let x(b) = 11*b**3 + 538*b**2 - 629*b + 116. Let u(d) = -22*d**3 - 1074*d**2 + 1259*d - 229. Let i(s) = 6*u(s) + 11*x(s). Factor i(t).
-(t - 1)*(t + 49)*(11*t - 2)
Let j(b) = -b**2 - 2*b + 6. Let y be j(-3). Suppose -13*p + 30 = -y*p. Factor 3*f**2 + 1 + 1 + p - 8.
3*(f - 1)*(f + 1)
Let k be 1/(1/10) + (-7904)/(-76) + -112. Let y be (-3)/6*1/(-2). Factor y*i**k + 1/2*i + 0.
i*(i + 2)/4
Let v(