)/(((-9)/(-6))/(-3)). Let d = 7 + r. Factor -9*i**2 + 9*i**2 + 9*i + i**3 - d*i**2 - 4.
(i - 4)*(i - 1)**2
Let v be ((-3)/(2*5/2))/(154*(-61)/6710). Factor -1/7*p**4 + v*p**3 + 0 + 0*p + 4/7*p**2.
-p**2*(p - 4)*(p + 1)/7
Let s = 144534 + -144532. What is f in -12/7*f**s + 0 - 8/7*f - 4/7*f**3 = 0?
-2, -1, 0
Let q(o) be the second derivative of o**7/189 - 23*o**6/135 - 7*o**5/6 - 3*o**4/2 + 2*o - 742. Suppose q(d) = 0. Calculate d.
-3, -1, 0, 27
Let y(s) = -s**4 - s**2 + 2*s. Let a = 427 + -428. Let h(v) = 5*v**4 + 16*v**3 + 43*v**2 + 26*v. Let o(i) = a*h(i) - 3*y(i). Factor o(q).
-2*q*(q + 2)**2*(q + 4)
Factor -2360/3*w - 6*w**3 + 596*w**2 + 784/3.
-2*(w - 98)*(3*w - 2)**2/3
Solve -1/5*o**2 + 0 + 87/5*o = 0.
0, 87
Let i(n) be the first derivative of -n**3 + 89 + 72*n - 69/2*n**2. Factor i(t).
-3*(t - 1)*(t + 24)
Factor 7609368/5 - 561/5*i**3 + 37062/5*i**2 - 978924/5*i + 3/5*i**4.
3*(i - 58)**3*(i - 13)/5
Determine i so that 3108*i + 3332*i - 547 - 6785*i + 205 - 3*i**2 = 0.
-114, -1
Let y(u) be the second derivative of u**6/135 - 14*u**5/45 + 64*u**4/27 + 1024*u**3/27 + 244*u - 3. Find p such that y(p) = 0.
-4, 0, 16
Let o(n) be the first derivative of -n**4/9 + 20*n**3/27 - 2*n**2/3 - 4*n - 594. Solve o(a) = 0 for a.
-1, 3
Suppose -87/7*f**2 - 3/7*f + 0 = 0. What is f?
-1/29, 0
Let x(d) be the third derivative of 2*d**2 + 3*d**3 + 0 + 1/20*d**5 - 5/8*d**4 + 14*d. Factor x(z).
3*(z - 3)*(z - 2)
Suppose 4*t + 80 - 80 = 0. Suppose -4*w + 2*y = t, 3*y - 6 = w + y. Let -1/4*s - 1/4*s**w + 1/2 = 0. What is s?
-2, 1
Let r be 2/(-8)*(-8)/(-123). Let c = 28/41 + r. Factor -34/9*z + c + 28/9*z**2.
2*(z - 1)*(14*z - 3)/9
Suppose 3*h + 3*c = -18, -2*c - 5 = -2*h + 15. Factor -18/5 + 12/5*u - 12/5*u**3 + 2/5*u**4 + 16/5*u**h.
2*(u - 3)**2*(u - 1)*(u + 1)/5
Let y(m) be the first derivative of -m**6/3060 - m**5/17 - 75*m**4/17 + 4*m**3/3 + 20*m + 56. Let d(s) be the third derivative of y(s). Factor d(a).
-2*(a + 30)**2/17
Suppose l - 81*x = -83*x + 50, 0 = 3*l + x - 140. Let -10 + 4*w**3 + 21*w**3 - l*w + 81*w - 45*w**2 - 5*w**4 = 0. What is w?
1, 2
Suppose 26 + 334 = 72*m. Let h(v) be the third derivative of 0 + 18*v**2 + 0*v - 1/390*v**m - 1/13*v**3 + 1/39*v**4. Factor h(a).
-2*(a - 3)*(a - 1)/13
Suppose -5*f = -26*k + 21*k - 10, 0 = -5*f - 3*k + 18. Factor -5/2*o**f + 15/2 + 5/2*o - 15/2*o**2.
-5*(o - 1)*(o + 1)*(o + 3)/2
Let t(z) = 6*z + 282 - z - z**2 + 0*z - 268. Let h be t(6). Let -9 + 2*j**2 + 10*j - 2*j + 7 - h = 0. Calculate j.
-5, 1
Factor -18*r**2 + 288*r + 39 - 210*r + 9 - 50*r + 2*r**3.
2*(r - 6)*(r - 4)*(r + 1)
Suppose -7*n + 4*n + 14 = -5*r, 0 = r + 4. Let h(l) = 7*l**2 - 58*l + 55. Let m(c) = -30*c**2 + 231*c - 219. Let g(s) = n*m(s) - 9*h(s). Factor g(a).
-3*(a - 19)*(a - 1)
Let z(f) be the second derivative of f**4/96 - 19*f**3/24 + 325*f**2/16 - 10*f + 342. Factor z(c).
(c - 25)*(c - 13)/8
Suppose 8*l + 55796 = -29*l. Let s = 1511 + l. Factor -1/3*m**2 + 0 - 2/3*m + 1/3*m**s.
m*(m - 2)*(m + 1)/3
Let d = -23656/69 + -407501/207. Let o = 2315 + d. Solve o*u**3 + 2/3*u**5 + 0*u + 26/9*u**4 + 0 + 8/9*u**2 = 0 for u.
-2, -1/3, 0
Factor -113/2*r**2 - 341/6 + 1/6*r**3 - 227/2*r.
(r - 341)*(r + 1)**2/6
Let q(r) be the third derivative of r**6/24 + 53*r**5/12 + 2755*r**4/24 - 21025*r**3/6 - 777*r**2 + 2. Factor q(l).
5*(l - 5)*(l + 29)**2
Let t(y) = -y**3 + 2*y**2 - 2. Let q(z) = z**3 + 27038*z**2 + 48708060*z + 29257308032. Let u(l) = q(l) - 4*t(l). Factor u(w).
5*(w + 1802)**3
Let b(q) = 1901*q - 17105. Let v be b(9). Let j(a) be the first derivative of 17/3*a**2 - 4 - 3/2*a**v + 14/3*a**3 + 2*a. Factor j(y).
-2*(y - 3)*(3*y + 1)**2/3
Let j(l) = 2*l**4 - 6*l**3 - l**2. Let x(i) = -5*i**4 + 60*i**3 + 323*i**2. Let b(c) = 15*j(c) + 5*x(c). Solve b(s) = 0 for s.
-32, -10, 0
Let u(x) = -x**4 - 47*x**3 + 37*x**2 + 213*x - 187. Let v(r) = 48*r**3 - 36*r**2 - 212*r + 188. Let i(h) = -4*u(h) - 5*v(h). Let i(a) = 0. What is a?
-2, 1, 2, 12
Let v(m) be the first derivative of -m**6/1080 - 2*m**5/15 - 8*m**4 - 37*m**3 + 23. Let b(c) be the third derivative of v(c). Let b(t) = 0. Calculate t.
-24
Factor -2/7*f**2 + 1744/7 - 202/7*f.
-2*(f - 8)*(f + 109)/7
Let k(h) be the first derivative of 2*h**6/5 + 4*h**5/5 + h**4/3 + 92*h + 48. Let f(p) be the first derivative of k(p). Determine c, given that f(c) = 0.
-1, -1/3, 0
Let j(x) be the third derivative of x**5/60 + 25*x**4/24 - 13*x**3/3 - 34*x**2 - 51*x. Factor j(g).
(g - 1)*(g + 26)
Let o(i) be the third derivative of 7/12*i**6 - 2*i**2 + 3*i**5 + 85/12*i**4 - 16*i + 0 + 1/42*i**7 + 55/6*i**3. Factor o(d).
5*(d + 1)**3*(d + 11)
Let t(z) be the third derivative of z**8/168 - 41*z**6/60 + 12*z**5/5 + 28*z**4/3 + 2295*z**2 + z. Determine p so that t(p) = 0.
-7, -1, 0, 4
Suppose 5*i + 5 = 0, 0 = -4*o - i - 42 + 53. Let x be (o/6)/((-22)/(-110)). Factor -245/2 - x*m**2 + 35*m.
-5*(m - 7)**2/2
Let d be 8/(-12)*561/(-22). Factor 8*f**5 + 3*f**5 - f**4 - d*f**5 + 7*f**5.
f**4*(f - 1)
Let a be 20/7 - 5/(-35). Suppose -16 = -a*t - 1. Factor 8*u**3 + u**3 + 5*u**4 + u**3 - 10*u + 0*u**3 - t*u**2.
5*u*(u - 1)*(u + 1)*(u + 2)
Let x(a) = -6*a**2 - 46*a - 60. Let m be x(-6). Let y(j) be the second derivative of -12*j - 4*j**2 + m + 10/3*j**3 + 7/3*j**4. Solve y(c) = 0.
-1, 2/7
Let o(c) = -2*c**2 + 71*c - 692. Let h(s) = -s + 4. Let y(j) = 9*h(j) - o(j). Suppose y(i) = 0. Calculate i.
14, 26
Let r(v) be the second derivative of 0 + 27/10*v**3 + 1/100*v**5 + 0*v**2 + 194*v + 3/10*v**4. Factor r(b).
b*(b + 9)**2/5
Suppose 0 = -4*g + 45 + 7. Determine v so that 8*v**5 - 6*v**4 + g*v**5 - 38*v**5 + 48*v**3 + 15*v**5 - 56*v**2 = 0.
-7, 0, 2
Let t(h) = -9*h**3 + 3*h**2 - 107*h - 99. Let j(x) = -2*x**3 - 2*x. Let l(f) = -5*j(f) + t(f). Find w, given that l(w) = 0.
-11, -1, 9
Let u(j) = -25*j**4 + 35*j**3 - 30*j**2 - 5. Let l(o) = o**5 - 26*o**4 + 37*o**3 - 28*o**2 - 4. Let k(a) = -5*l(a) + 4*u(a). Find x such that k(x) = 0.
0, 1, 4
Factor 1/2*s**2 + 0 + 853/2*s.
s*(s + 853)/2
Let z(y) be the third derivative of y**5/300 + 47*y**4/3 + 88360*y**3/3 - 2*y**2 - 486*y. Factor z(u).
(u + 940)**2/5
Let l(i) be the third derivative of -19*i**2 - 1/840*i**7 + 0*i - 1/32*i**4 + 0 + 1/160*i**6 + 0*i**3 + 1/240*i**5. What is v in l(v) = 0?
-1, 0, 1, 3
Factor 22/5*g**2 + 0 + 4/5*g**3 - 26/5*g.
2*g*(g - 1)*(2*g + 13)/5
Let v(i) be the second derivative of -107*i - 1/14*i**4 - 1/21*i**6 + 0 + 0*i**2 - 1/10*i**5 - 1/147*i**7 + 0*i**3. Solve v(a) = 0.
-3, -1, 0
Let h(t) = -9*t**2 + 738*t - 45369. Let k(v) = 20*v**2 - 1476*v + 90732. Let j(g) = -7*h(g) - 3*k(g). Let j(s) = 0. What is s?
123
Let i(v) be the third derivative of -v**7/420 - 11*v**6/240 - 3*v**5/8 - 3*v**4/4 - 17*v**2. Let c(r) be the second derivative of i(r). Factor c(w).
-3*(w + 3)*(2*w + 5)
Let f be (10976/(-288) + 31)*45/(-50). Factor -f + 17/5*b**2 + 1/5*b**3 + 14/5*b.
(b - 1)*(b + 2)*(b + 16)/5
Let t = -39689 + 516436/13. Let q = 37 - t. What is h in 2/13*h**3 - q*h + 0 + 0*h**2 = 0?
-1, 0, 1
Let q(a) be the third derivative of a**7/10080 - a**6/1440 - a**5/60 + 19*a**4/6 - 42*a**2. Let m(l) be the second derivative of q(l). Factor m(i).
(i - 4)*(i + 2)/4
Let k = -4762/651 - -1732/217. Suppose 2/3*a**2 + 0*a - k*a**3 + 0 = 0. What is a?
0, 1
Factor 314/15*a - 2/15*a**3 + 0 + 104/5*a**2.
-2*a*(a - 157)*(a + 1)/15
Factor 5*s**2 + 16*s**2 - 13*s**2 + 3*s - 18 - 5*s**2.
3*(s - 2)*(s + 3)
Let n(q) be the first derivative of -176 - 1/9*q**3 - 11/3*q**2 + 23/3*q. Suppose n(f) = 0. What is f?
-23, 1
Let h(f) be the first derivative of 3*f**4/20 - 141*f**3/5 + 165*f**2/2 + 1251*f/5 - 5002. Factor h(r).
3*(r - 139)*(r - 3)*(r + 1)/5
Let l(r) be the first derivative of 108 - 5/3*r**3 - 200*r**2 - 8000*r. Factor l(q).
-5*(q + 40)**2
Let o(h) be the third derivative of 1/252*h**7 - 1/720*h**6 + 1/2016*h**8 + 0*h**4 + 0*h - 62*h**2 + 0*h**3 + 0 - 1/72*h**5. Suppose o(v) = 0. Calculate v.
-5, -1, 0, 1
What is i in 39/4*i - 1 - 37/8*i**2 = 0?
4/37, 2
Let p(u) = -3*u**4 - 18*u**3 + 24*u**2 + 132*u - 240. Let x(v) = -6*v**4 - 37*v**3 + 44*v**2 + 264*v - 480. Let t(q) = -7*p(q) + 3*x(q). Factor t(r).
3*(r - 2)**2*(r + 4)*(r + 5)
Let q(f) be the second derivative of f**4/4 - f**3/2 - f**2 + 7*f. Let c be q(3). Let 12*v**2 - 35 + 52*v**3 + 19 + c*v**4 - 42*v - 22*v = 0. What is v?
-2, -1/4, 