**6/660 - 281*y**5/330 - 4*y**2 + 287. Suppose k(o) = 0. What is o?
-281, -1, 0, 1
Suppose -5*d - 40 = 0, -3*y - 3*d = -23 + 41. Factor -98/9*t**2 - y + 28/3*t.
-2*(7*t - 3)**2/9
Let i = 45718/5 + -9086. Let q(y) be the first derivative of 2/15*y**3 + i*y + 12 - 24/5*y**2. Find f, given that q(f) = 0.
12
Factor 8*t**2 - 68 + 2/7*t**3 - 422/7*t.
2*(t - 7)*(t + 1)*(t + 34)/7
Let o(d) be the first derivative of 2*d**5/55 - 4*d**4/11 + 32*d**3/33 + 38. Factor o(i).
2*i**2*(i - 4)**2/11
Let l be (-16)/16*-3 + 1*(2 + -1). Let r(i) be the third derivative of -1/60*i**l + 0*i**3 - 7/600*i**6 + 0*i - 3/100*i**5 + 15*i**2 + 0. Factor r(s).
-s*(s + 1)*(7*s + 2)/5
Let k(n) = n**3 - 25*n**2 + 6*n - 35. Let t be k(25). Suppose t*g - 112*g = 36. Factor 254 + 0*u**2 - 270 + g*u - 2*u**2.
-2*(u - 4)*(u - 2)
Let y(u) be the first derivative of -3*u**5 + 201*u**4/4 - 261*u**3 + 807*u**2/2 - 210*u - 1646. Determine s so that y(s) = 0.
2/5, 1, 5, 7
Let o(z) be the third derivative of 4*z**2 - 3/40*z**6 + 4/3*z**3 + 25*z + 0 - 1/210*z**7 + 3/8*z**4 - 7/60*z**5. Factor o(q).
-(q - 1)*(q + 1)**2*(q + 8)
Suppose -3*y + 2*o + 13 - 8 = 0, o + 1 = 0. Let v = 125 + -499/4. Factor -v*n**2 - y - n.
-(n + 2)**2/4
Suppose -19 = 5*m - 9. Let n(r) = 7*r**3 + 53*r**2 - 240*r + 250. Let c(g) = -16*g**3 - 107*g**2 + 480*g - 499. Let s(o) = m*c(o) - 5*n(o). Factor s(l).
-3*(l - 2)**2*(l + 21)
Let -1/2*h**5 - 209/2*h**4 + 0 + 421/2*h**3 - 211/2*h**2 + 0*h = 0. Calculate h.
-211, 0, 1
Determine u, given that -8625/2 - 3/4*u**3 - 180*u**2 - 6975/4*u = 0.
-230, -5
Factor 11058 - 5*h**2 - 560*h + 11759 - 23917.
-5*(h + 2)*(h + 110)
Let w(y) be the third derivative of -34*y**2 + 0*y**3 + 0*y - 1/42*y**7 + 1/12*y**6 + 13/4*y**5 + 15*y**4 + 0. Factor w(b).
-5*b*(b - 8)*(b + 3)**2
Factor -11/8*s**3 + 0*s - 5/8*s**4 - 1/4*s**2 + 0.
-s**2*(s + 2)*(5*s + 1)/8
Factor -290/21*y**2 - 2/21*y**3 + 0 - 96/7*y.
-2*y*(y + 1)*(y + 144)/21
Let w(d) be the third derivative of -d**6/840 + 19*d**5/70 - 361*d**4/14 - 44*d**3/3 - 12*d**2. Let u(k) be the first derivative of w(k). Factor u(j).
-3*(j - 38)**2/7
Let n be 1/2*(34 - 4 - 4). Let u = n + -11. Suppose 2*l**4 + 6*l + 14*l**2 + 10*l**3 - 2 + u = 0. Calculate l.
-3, -1, 0
Let r(s) be the first derivative of 57*s**5/5 - 177*s**4/4 + 63*s**3 - 75*s**2/2 + 6*s - 7864. Factor r(p).
3*(p - 1)**3*(19*p - 2)
Let c be (42016/(-780) - -54) + ((-8)/15)/4. Let j(h) be the third derivative of 0*h**3 + 30*h**2 + c*h**5 - 1/150*h**6 + 0 + 0*h + 1/30*h**4. Factor j(n).
-4*n*(n - 1)*(n + 1)/5
Determine i so that -518 - 973*i + 193*i - 266 + 4*i**2 = 0.
-1, 196
Let k be (-5)/2*(-10)/(-5). Let h be -1*((-56)/7 - k). Factor 10/7*x**2 - 22/7*x + 6/7 + 6/7*x**h.
2*(x - 1)*(x + 3)*(3*x - 1)/7
Let q(r) = -7*r**4 - 636*r + 687*r + 29*r**2 - 21*r**2 + 35 - 9*r**3. Let w(k) = k**4 - k**3 - k - 1. Let t(u) = -q(u) - 3*w(u). Factor t(a).
4*(a - 2)*(a + 1)*(a + 2)**2
Let d(g) = -4*g**3 + 116*g**2 + 400*g + 320. Suppose 0 = -2*k - 8*k - 50. Let j(u) = u**3 - 39*u**2 - 133*u - 107. Let z(l) = k*d(l) - 16*j(l). Solve z(r) = 0.
-7, -2
Let t(f) be the second derivative of -f**7/147 + f**6/35 + 27*f**5/70 - 131*f**4/42 + 58*f**3/7 - 72*f**2/7 - 253*f - 14. Find d, given that t(d) = 0.
-6, 1, 3, 4
Let u(a) = 6*a + 22. Let s be u(-3). Solve -8*w**4 + 12*w**4 - 20 - 15*w**5 + 15*w**3 - 39*w**s + 55*w**2 = 0 for w.
-2, -1, 2/3, 1
Suppose -w + 4*y + 49 = 0, 193*w = 197*w - 5*y - 75. Suppose 0 - 6*h**4 - 21/5*h - 3/5*h**w - 72/5*h**3 - 66/5*h**2 = 0. Calculate h.
-7, -1, 0
Suppose -124/3*r - 650 + 2/3*r**2 = 0. What is r?
-13, 75
Let r(s) be the third derivative of -1/80*s**6 + 0*s + 1/24*s**5 + 2 - 3*s**2 + 0*s**3 - 1/24*s**4. What is z in r(z) = 0?
0, 2/3, 1
Let x = -144 - -147. What is d in d**x - 8 - 16 - 6 - 51*d - 24*d**2 - 4*d**3 = 0?
-5, -2, -1
Let i be (((-290)/30 + 10)*0)/3. Let f(u) be the second derivative of 0*u**6 + 30*u - 1/6*u**5 + 5/126*u**7 + 0*u**4 + i + 0*u**2 + 5/18*u**3. Factor f(m).
5*m*(m - 1)**2*(m + 1)**2/3
Suppose 2*u - 14 = 2*v, -15 + 41 = 2*u + 2*v. Suppose 3*q - u = q. Factor -q - 5/2*d**2 - 15/2*d.
-5*(d + 1)*(d + 2)/2
Factor -85*m + 74/3*m**2 - 5/3*m**3 - 18.
-(m - 9)*(m - 6)*(5*m + 1)/3
Factor -49*a - 1/2*a**2 - 97/2.
-(a + 1)*(a + 97)/2
Let s be (-42541)/55 + (-96)/120. Let o = s + 775. Suppose -16/11*u + 2/11*u**4 + 12/11*u**3 - o*u**2 + 0 - 2/11*u**5 = 0. Calculate u.
-2, -1, 0, 2
Let z(i) be the first derivative of -2/11*i**3 - 24/11*i + 29 - 15/11*i**2. What is d in z(d) = 0?
-4, -1
Let n(y) = -y**2 + 11*y + 3. Let b be n(11). Factor -5*x**3 + b*x**3 - 145*x**2 + 12*x - 2*x + 153*x**2.
-2*x*(x - 5)*(x + 1)
Let t(z) be the third derivative of 0 - 8/3*z**3 - 5/4*z**4 + 36*z + 1/15*z**5 + z**2. Determine w, given that t(w) = 0.
-1/2, 8
Let b(t) be the first derivative of 33/2*t**2 - 1/3*t**3 + 0*t - 1/24*t**4 + 32 + 1/60*t**5. Let u(m) be the second derivative of b(m). Factor u(w).
(w - 2)*(w + 1)
Let q be -1*3 - -2 - -6. Let i = -43 + 51. Suppose -i*h + 3*h**2 - 4 - q*h**2 + 4*h**2 - 6*h**2 = 0. Calculate h.
-1
Find u, given that -208/11*u**2 - 42/11*u**3 + 52/11*u**4 + 200/11*u + 0 - 2/11*u**5 = 0.
-2, 0, 1, 2, 25
Let b(n) be the second derivative of 2*n**7/21 + 8*n**6/5 - 19*n**5/5 - 74*n**4/3 + 40*n**3 + 208*n**2 + 1436*n. Let b(d) = 0. Calculate d.
-13, -2, -1, 2
Let u(f) be the second derivative of -1/4*f**2 - 121/24*f**3 - 45/4*f**5 + 19*f - 155/4*f**4 - 4. Determine g, given that u(g) = 0.
-2, -1/30
Factor -37*l + 286*l - 308 + 3*l**2 + 554.
3*(l + 1)*(l + 82)
Let m = 439488 + -439485. Let 0 - 3/2*i + 7*i**2 - 4*i**m = 0. What is i?
0, 1/4, 3/2
Let f(d) be the first derivative of 2*d**6/15 - 3*d**5/25 - 53*d**4/20 + 29*d**3/5 - 23*d**2/10 - 12*d/5 - 2640. Determine q so that f(q) = 0.
-4, -1/4, 1, 3
Suppose -3*a + 21 = -5*b, -2*a + 1 = -b + 2*b. Factor -48 - 75773*n**2 + 3*n**4 + 12*n**3 - 48*n + 75773*n**a.
3*(n - 2)*(n + 2)**3
Suppose 47*q - 15 = 42*q. Let o(k) be the first derivative of 0*k**4 - 3 + 48*k - 96*k**2 - 81/5*k**5 + 72*k**q. Factor o(u).
-3*(u + 2)*(3*u - 2)**3
Suppose 14 = n + 12. Let s(a) = -4 - 2*a + a + 6 - 1. Let r(z) = z**2 - 6*z + 5. Let m(f) = n*s(f) - r(f). Factor m(c).
-(c - 3)*(c - 1)
Let j(n) be the third derivative of -1/270*n**5 + 1/540*n**6 - 333*n**2 + 1/27*n**3 - 1/108*n**4 + 0 + 0*n. Factor j(m).
2*(m - 1)**2*(m + 1)/9
Let m be (-3528)/1617 - 4384/(-154). Factor -100/7 - 8/7*f**3 + 260/7*f + 4*f**4 - m*f**2 + 4/7*f**5.
4*(f - 1)**3*(f + 5)**2/7
Determine w, given that -65*w**3 - 427*w**3 - 43*w**5 - 35*w**5 - 232*w**4 + 82*w**5 + 720*w**2 = 0.
-3, 0, 1, 60
Let u(v) = -26*v + 132. Let b be (8 - 3)*5/5 - 0. Let k be u(b). Factor -2/9*o**k - 4/9*o**3 + 26/9*o - 4/3.
-2*(o - 2)*(o + 3)*(2*o - 1)/9
Let a = -15/382 + 869/2674. Solve -4/7*n**2 + 2/7*n - a*n**3 + 4/7 = 0 for n.
-2, -1, 1
Let l(j) be the third derivative of -j**7/2240 + 3*j**5/320 + j**4/32 + 136*j**3/3 - 128*j**2. Let g(h) be the first derivative of l(h). Factor g(m).
-3*(m - 2)*(m + 1)**2/8
Factor 0 + 2/3*z**3 + 68/3*z**2 - 70/3*z.
2*z*(z - 1)*(z + 35)/3
Let f(m) be the first derivative of -m**6/3 + 8*m**5 - 67*m**4/2 - 88*m**3 + 180*m**2 + 1339. Solve f(o) = 0 for o.
-2, 0, 1, 6, 15
Let z(m) be the first derivative of -2*m**5/75 - 3*m**4/5 + 278*m**3/45 - 8*m**2 - 1738. Let z(w) = 0. What is w?
-24, 0, 1, 5
Let u(v) be the first derivative of 6859*v**4/6 + 5776*v**3 + 10944*v**2 + 9216*v - 1120. Factor u(i).
2*(19*i + 24)**3/3
Let m = 5818/10329 - -154/939. Factor -16/11*j**2 + 0 - 6/11*j**3 - m*j.
-2*j*(j + 2)*(3*j + 2)/11
Let n(g) be the first derivative of -g**4/2 + 46*g**3/3 + 24*g**2 - 451. Factor n(h).
-2*h*(h - 24)*(h + 1)
Suppose -3003*u + 9717 = 708. Determine z so that -3/7 - 1/7*z**u - 5/7*z**2 - z = 0.
-3, -1
Suppose 0 = -3*q - 12, 8*b + 36 = 12*b - 4*q. Determine n, given that -48*n + 3*n + 3*n**2 + 42 + 0*n**2 - b*n**2 + 5*n**2 = 0.
1, 14
Let a(x) be the second derivative of x**6/120 - 5*x**5/16 - 9*x**4/16 + 25*x**3/24 + 13*x**2/4 + 4269*x. Factor a(l).
(l - 26)*(l - 1)*(l + 1)**2/4
Let t be (170/595)/(-4 - (-87)/21). Let r(l) be the first derivative of 4/3*l**3 - 3/2*l**t - l + 12. Find a such that r(a) = 0.
-1/4, 1
Let s = 295 + -283. Factor -16 + 43*z**2 - 3*z + 38*z**2 - s*z - 80*z**2.
(z - 16)*(z + 1)
Solve 24/7*a**2 + 3/7*a**5 - 3*