v**3 + 2*v**2 - 119*v. Factor k(q).
-3*(q + 1)*(q + 2)*(q + 25)
Let s(g) be the third derivative of -1/32*g**6 - 6*g + 0 + 7/16*g**4 + 0*g**3 - 2*g**2 - 33/80*g**5. Factor s(t).
-3*t*(t + 7)*(5*t - 2)/4
Let v(j) = 10*j**4 - 2825*j**3 + 45795*j**2 - 81000*j - 35. Let y(o) = o**4 - 314*o**3 + 5088*o**2 - 9000*o - 4. Let r(k) = -4*v(k) + 35*y(k). Factor r(d).
-5*d*(d - 30)**2*(d - 2)
Factor 289*j - 49 + 200 + 96*j**2 + 30*j - 4*j**4 + 41 - 63*j.
-4*(j - 6)*(j + 2)**3
Let k = 23315/10494 + 5/10494. Factor k - 2*f - 2/9*f**2.
-2*(f - 1)*(f + 10)/9
Let f be (-508)/(-4)*(-19)/(-95) - (-1 + 13). Find i, given that 17/5 - 4/5*i**2 + f*i = 0.
-1/4, 17
Let q be 19/190*(-2100)/(-231). Suppose -q*d**3 + 6/11*d**2 + 8/11 + 24/11*d = 0. Calculate d.
-1, -2/5, 2
Let b be 888/120 - 336/48. What is v in 0*v + 3/5*v**3 - 1/5*v**5 + 0 + b*v**4 + 0*v**2 = 0?
-1, 0, 3
Let r be (3 - (-138)/17) + 176/(-16). Suppose 4/17*n**2 + 0*n**3 + 0 + r*n**5 - 4/17*n**4 - 2/17*n = 0. What is n?
-1, 0, 1
Let p(z) be the first derivative of z**6/105 - z**5/70 - 5*z**4/42 - z**3/7 - 2*z + 53. Let t(u) be the first derivative of p(u). Factor t(l).
2*l*(l - 3)*(l + 1)**2/7
Determine j so that -724 - 52 + 645*j + j**2 - 518 = 0.
-647, 2
Let d = 1297 + -601. Let m = d + -693. Determine g so that -3/8*g**m + 0 - 5/8*g**2 - 1/4*g = 0.
-1, -2/3, 0
Let w(k) be the second derivative of k**5/70 + 55*k**4/21 + 109*k**3/21 - 84*k + 6. Solve w(p) = 0 for p.
-109, -1, 0
Let x(b) be the first derivative of -b**7/630 - b**6/72 - 7*b**5/180 - b**4/24 + 17*b**2 + 42. Let i(q) be the second derivative of x(q). Factor i(a).
-a*(a + 1)**2*(a + 3)/3
Let m(i) be the first derivative of -i**6/10 - 36*i**5/5 - 651*i**4/10 - 952*i**3/5 - 2511*i**2/10 - 156*i + 1824. Suppose m(s) = 0. What is s?
-52, -5, -1
Let i be (130/1755)/(4/18). Let z(k) be the first derivative of 8 - i*k**5 + 0*k**2 - 5/3*k**4 + 0*k - 20/9*k**3. Factor z(l).
-5*l**2*(l + 2)**2/3
Factor -171395/3*o**2 + 14699/6*o**3 - 35*o**4 + 1/6*o**5 - 2450*o + 171500/3.
(o - 70)**3*(o - 1)*(o + 1)/6
Let x(r) be the first derivative of -14/15*r**2 - 112 - 26/15*r - 2/45*r**3. What is n in x(n) = 0?
-13, -1
Let n(y) = -218*y + 14609. Let f be n(67). Factor 1/2*i**2 + i**f + 0*i + 0 + 2*i**5 - 7/2*i**4.
i**2*(i - 1)**2*(4*i + 1)/2
Let f(p) be the second derivative of -3*p**5/80 - 13*p**4/16 + 75*p**3/2 + 1268*p. Factor f(n).
-3*n*(n - 12)*(n + 25)/4
Let c be (11 + -11)/(-2 - 0). Suppose 16*s + 2*s - 54 = c. Factor 5*t**2 - 6 + 0*t**s + 1 - 8*t + 5*t**3 + 3*t.
5*(t - 1)*(t + 1)**2
Let h be (-108)/(-26) + (-19 + (29 - 9) - 5). Factor -14/13*d**3 - 18/13*d + 0 + h*d**4 + 30/13*d**2.
2*d*(d - 3)**2*(d - 1)/13
Suppose 4*q + 67 = -7*g + 47, -5*q = -4*g - 26. Find y such that 0 - 1/2*y + 0*y**q + 1/2*y**3 = 0.
-1, 0, 1
Let c be -917 + 919 - 14/(-6)*16/(-21). Factor -10/3 + c*d**2 + 4/9*d.
2*(d - 3)*(d + 5)/9
Let p(b) be the third derivative of -b**8/3528 - 2*b**7/441 + b**6/90 + 4*b**5/15 - 37*b**4/28 + 18*b**3/7 + b**2 + 100. Suppose p(c) = 0. What is c?
-9, -6, 1, 3
Let u(g) be the third derivative of 0 + 2/15*g**7 + 3/5*g**6 + 0*g**3 + 4/3*g**4 + 0*g + 1/84*g**8 + 107*g**2 + 4/3*g**5. Factor u(o).
4*o*(o + 1)*(o + 2)**3
Solve 2*l**2 + 324*l - 43*l + 287*l - 20*l + 37538 = 0.
-137
Let l = -7869 + 7874. Let n(z) be the first derivative of 2/25*z**l + 0*z**2 + 13 + 0*z**4 - 2/15*z**3 + 0*z. Factor n(s).
2*s**2*(s - 1)*(s + 1)/5
Factor -20/3 + 2800/3*b - 465*b**2.
-5*(b - 2)*(279*b - 2)/3
Let v(a) be the first derivative of a**5/80 + a**4/4 + 11*a**2 + 51. Let x(p) be the second derivative of v(p). What is k in x(k) = 0?
-8, 0
Suppose 3*d - 233 = 5*r - 257, -5*d = -r + 18. Factor 4/13*v**4 + 360/13*v**2 + 0 + 200/13*v - 6*v**r.
2*v*(v - 10)**2*(2*v + 1)/13
Let s(b) be the first derivative of -4*b**6/9 + 1496*b**5/15 - 46873*b**4/6 + 1999252*b**3/9 - 964844*b**2/3 + 476656*b/3 + 236. Solve s(o) = 0 for o.
1/2, 62
Let y(g) be the third derivative of 0*g + 0 + 3/5*g**5 - 3/70*g**7 - g**4 + 133*g**2 + 0*g**3 - 5/112*g**8 + 11/20*g**6. Let y(n) = 0. What is n?
-2, -1, 0, 2/5, 2
Solve -1376/7*q**2 - 456/7*q - 150*q**3 - 4/7*q**5 + 0 - 246/7*q**4 = 0.
-57, -2, -1/2, 0
What is o in -444/5 - 216/5*o**2 + 662/5*o - 2/5*o**3 = 0?
-111, 1, 2
Let w(z) = z**3 + 15*z**2 - 10. Let y be w(-15). Let a be (-1)/(-21)*-2*(-56 + y). Factor -a*j**2 - 34/7*j + 10/7*j**3 + 20/7.
2*(j - 5)*(j + 1)*(5*j - 2)/7
Let k be 50/((-8250)/99) + 1. Determine d, given that k - 4/15*d + 4/15*d**3 + 2/15*d**4 - 8/15*d**2 = 0.
-3, -1, 1
Let q(o) be the first derivative of o**5/5 + o**4/4 - 4*o**3/3 - 2*o**2 - 2976. Factor q(p).
p*(p - 2)*(p + 1)*(p + 2)
Suppose -12*d = -3*d + 27. Let u(o) = -18*o**2 - 144*o - 154. Let j(m) = 4*m**2 + 29*m + 31. Let y(k) = d*u(k) - 14*j(k). Determine h so that y(h) = 0.
-1, 14
Let p(h) be the second derivative of -1/6*h**4 - 157*h + 23/15*h**3 + 2*h**2 + 0. Factor p(o).
-2*(o - 5)*(5*o + 2)/5
Suppose -264 = -2*d - 2*q, 0*d - 4*d + q + 553 = 0. Let h = d - 72. Find z, given that 9*z**2 + 3*z**3 + 56 - h - 2*z - z = 0.
-3, -1, 1
Suppose 3440 = -5*y - 4*s, -3*y - s = -3*s + 2064. Let k = -6190/9 - y. Factor -k*r**2 + 4/9*r**3 - 2/9*r**4 + 0*r + 0.
-2*r**2*(r - 1)**2/9
Let h(v) be the second derivative of 15*v**7/14 + 136*v**6 + 671*v**5/2 + 260*v**4 + 445*v**3/6 + 770*v. What is f in h(f) = 0?
-89, -1, -1/3, 0
Let p = 286 + -128. Let m = p - 154. Determine l so that -m*l + 3/2*l**4 + 1/2*l**2 - 2 + 4*l**3 = 0.
-2, -1, -2/3, 1
Let r = -2665/232 + 31873/2088. Factor 28/3 + r*f + 2/9*f**2.
2*(f + 3)*(f + 14)/9
Factor 45 - 1/3*x**3 + 133/3*x**2 + 269/3*x.
-(x - 135)*(x + 1)**2/3
Let k be (0 - -24) + 42757/(-1794). Factor 2 + 8/3*z + k*z**3 + 7/6*z**2.
(z + 2)**2*(z + 3)/6
Let m(x) = -35*x**2 - 180*x - 1650. Let c(k) = -k**2 - 1. Suppose 0 = 3*l + 15, 0*o - 4*o = 5*l - 95. Let h(b) = o*c(b) - m(b). Factor h(p).
5*(p + 18)**2
Let i(a) = -13*a**3 - 653*a**2 - 8837*a + 186418. Let u(m) = -6*m**3 - 326*m**2 - 4418*m + 93188. Let z(l) = 2*i(l) - 5*u(l). Factor z(t).
4*(t - 11)*(t + 46)**2
Let h(c) be the second derivative of -4*c**6/45 - 19*c**5/15 - c**4 + 5*c + 860. What is j in h(j) = 0?
-9, -1/2, 0
Let l(x) be the first derivative of x**6/2 - 8*x**5/5 - 3*x**4/4 + 8*x**3/3 - 3358. Factor l(p).
p**2*(p - 1)*(p + 1)*(3*p - 8)
Let i(o) = -o**3 + 23*o**2 - 15*o - 151. Let y be i(22). Let u(m) be the second derivative of 2/3*m**2 - 1/9*m**y - 1/18*m**4 + 0 + 13*m. Factor u(b).
-2*(b - 1)*(b + 2)/3
Let j = -316 + 320. Let f be (2/j)/(8*(-21)/(-112)). Suppose -f*m**4 + 0*m**2 + 0*m - 1/3*m**3 + 0 = 0. What is m?
-1, 0
Let o(i) be the third derivative of -i**8/504 + 8*i**7/315 + 13*i**6/90 - 28*i**5/15 - 49*i**4/4 + i**2 - 1965*i. Factor o(n).
-2*n*(n - 7)**2*(n + 3)**2/3
Let d(b) be the third derivative of b**7/14 + 7*b**6/6 + 11*b**5/4 + 5*b**4/3 + 7*b**2 + 42*b. Let d(l) = 0. Calculate l.
-8, -1, -1/3, 0
Factor 1/2*p**2 - 125/2 + 10*p.
(p - 5)*(p + 25)/2
Let q be ((-6)/(((-27)/5)/(684/5130)))/((-2)/(-3)). Factor -14/9*w**2 - 2/9*w + q*w**3 + 14/9.
2*(w - 7)*(w - 1)*(w + 1)/9
Let w = 900300 - 900298. Factor 1/4*s**3 - 2*s + 1/2*s**w + 0.
s*(s - 2)*(s + 4)/4
Let m be 12 + -8 + ((-8)/6)/(4/6). Let n(t) be the first derivative of -1/3*t**m - 4/9*t + 14 + 4/27*t**3. Suppose n(a) = 0. What is a?
-1/2, 2
Let w(s) be the first derivative of s**7/42 + s**6/8 - s**5/12 - 5*s**4/8 + 3*s**2/2 - 12*s - 43. Let n(j) be the second derivative of w(j). Factor n(c).
5*c*(c - 1)*(c + 1)*(c + 3)
Let x(n) be the first derivative of -2*n**6/9 + 7*n**4/3 - 8*n**3/3 + 8381. Let x(t) = 0. What is t?
-3, 0, 1, 2
Let g(b) = -4*b**2 + 5172*b + 1464. Let v(m) = m**2 + 3447*m + 976. Let q(p) = 5*g(p) - 8*v(p). Factor q(w).
-4*(w + 61)*(7*w + 2)
Let n(u) be the third derivative of -u**6/200 + 49*u**5/300 + 11*u**4/15 + 6*u**3/5 + 34*u**2 - 25. What is c in n(c) = 0?
-1, -2/3, 18
Let h(r) = 16*r**2 - 9972*r + 2761817. Let w(v) = -37*v**2 + 23268*v - 6444260. Let a(i) = -16*h(i) - 7*w(i). Factor a(o).
3*(o - 554)**2
Let g(d) = 74*d - 2. Let j(w) = -5*w**2 - 945*w + 2840. Let s(p) = -20*g(p) - j(p). Factor s(i).
5*(i - 112)*(i + 5)
Let 4*s**4 + 42*s**3 - 396*s**2 + 493*s - 23*s**4 + 960 - 3*s**3 + 35*s + 22*s**4 = 0. Calculate s.
-20, -1, 4
Let t(a) = -2*a**2 - 2*a - 2. Let d be 3*((-2)/6 - 3)*-1. Let w(h) =