**2 + 1290*i - 423777. Let o(q) = 5*t(q) + 30*x(q). What is m in o(m) = 0?
651
Let v be ((-3)/(-81)*3)/((-1743)/(-2241)). Factor 0 + 1/7*g**3 + 0*g**4 + 0*g + 0*g**2 - v*g**5.
-g**3*(g - 1)*(g + 1)/7
Let f(i) be the second derivative of i**5/4 + 15*i**4/4 - 245*i**3/6 + 195*i**2/2 + 17*i + 274. Factor f(c).
5*(c - 3)*(c - 1)*(c + 13)
Let c(o) be the third derivative of 1/440*o**6 - o + 0*o**4 + 0*o**3 + 0*o**5 + 0 + 26*o**2 + 1/2310*o**7. Determine a, given that c(a) = 0.
-3, 0
Suppose -1105 = -3*i + d, 5*i = 10*i + 4*d - 1853. Solve -22*z**2 + 4*z**3 + i*z - 321*z + 74*z**2 = 0 for z.
-12, -1, 0
Let s = 249 - 110. Factor 72*g**3 + 8 - 13*g**2 + s*g**2 + 208*g**2 - 22*g**2 + 98*g.
2*(g + 4)*(6*g + 1)**2
Let c be -1*(13 - (-1 - -3)). Let t = -12 - c. Let v(o) = -o. Let j(z) = -5*z**3 + 15*z**2 - 40*z + 5. Let k(f) = t*j(f) + 25*v(f). Solve k(n) = 0.
1
Let q be ((-4)/(-6))/(14/144). Let y(b) = 2*b**2 + 236*b + 5042. Let p be y(-28). Find z, given that 32/7 - 4/7*z**3 - q*z + 24/7*z**p = 0.
2
Let h(j) be the first derivative of -26/45*j**5 + 40/9*j + 31/18*j**4 - 14/27*j**3 - 178 + 1/27*j**6 - 32/9*j**2. Let h(y) = 0. What is y?
-1, 1, 2, 10
Let m(d) be the third derivative of d**7/140 + 79*d**6/80 + 219*d**5/20 - 625*d**2. Factor m(b).
3*b**2*(b + 6)*(b + 73)/2
Let l = 19516/43749 + -8/4861. Factor 8/3*k - l*k**3 + 2 + 2/9*k**2.
-2*(k - 3)*(k + 1)*(2*k + 3)/9
Let y be (-722 - -760) + -36*1. Factor 40*u**3 + 0*u + 160*u**y + 0 + 5/4*u**5 - 35/2*u**4.
5*u**2*(u - 8)**2*(u + 2)/4
Let x(a) be the first derivative of 153*a**4/4 + a**3/3 - 153*a**2/2 - a - 9613. Factor x(j).
(j - 1)*(j + 1)*(153*j + 1)
Let i(u) be the first derivative of -u**7/35 - 34*u**6/225 - 14*u**5/75 + 4*u**4/45 - 261*u + 308. Let d(z) be the first derivative of i(z). Solve d(o) = 0.
-2, 0, 2/9
Let c(z) be the second derivative of z**7/14 + 2*z**6/5 - 66*z**5/5 - 227*z**4/2 - 633*z**3/2 - 405*z**2 + z + 981. Find j such that c(j) = 0.
-9, -3, -1, 10
Let k = -5707 - -5709. Let u(w) be the third derivative of 2*w**3 + 0 - 1/2*w**4 + 1/20*w**5 + 19*w**k + 0*w. Factor u(p).
3*(p - 2)**2
Let i be 22/55 + (-8)/(-13310)*-668. Let g = 10662/9317 + i. Factor 0 - g*o + 4/7*o**2.
4*o*(o - 2)/7
Let j be (-150)/(-275) + (-186)/(-22). Factor -42*d**2 + 112*d**2 - 50*d**2 - 4*d**3 + 15*d + j*d**3.
5*d*(d + 1)*(d + 3)
Factor -2*d**4 - 110*d**3 + 464*d**2 - 137*d - 157*d - 281*d + 103*d.
-2*d*(d - 2)**2*(d + 59)
Let k(y) be the second derivative of -y**5/4 + 20*y**4/3 - 355*y**3/6 + 140*y**2 - 3826*y. Solve k(c) = 0.
1, 7, 8
Let x be 0 + (0/(-4) - 0). Let q be ((-60)/5)/(-1 + 150/(-12)). Factor -q*f**2 + 0*f - 10/9*f**4 + 16/9*f**3 + 2/9*f**5 + x.
2*f**2*(f - 2)**2*(f - 1)/9
Let h be 6/(30/(-55)) + -1387. Let o = h + 4202/3. Solve o*x**3 - 2/3*x**4 + 2/3*x**2 + 0 - 8/3*x = 0.
-1, 0, 1, 4
Let t(y) be the second derivative of -y**5/180 - 7*y**4/108 + 20*y**3/9 + 29*y + 3. Solve t(m) = 0 for m.
-15, 0, 8
Let z be ((-12)/5)/((-1)/5). Let -z*u**2 + 5*u - 12 + 2*u**3 + 15*u - 27*u + 29*u = 0. Calculate u.
1, 2, 3
Let v(g) = g**3 - 2*g**2 - 7. Let k be v(3). Factor 223*m**2 - 2*m**3 - 467 - 45 - 161*m**k - 448*m.
-2*(m - 16)**2*(m + 1)
Let l be 189/(-81)*1/(2/(-18)). Suppose 9*p = l*p. Factor -1/4*b**3 + p*b + 0 - 1/2*b**2.
-b**2*(b + 2)/4
Let r = 989542/3 + -329847. Factor r*y**5 + 0*y - 1/3*y**3 + 2/3*y**4 + 0 - 2/3*y**2.
y**2*(y - 1)*(y + 1)*(y + 2)/3
Let f = 4 + 8. Let a be 3 - (10 + (-66)/6). Factor -30 - 28*w + 4*w**a + f - 20*w**3 + 26 + 36*w**2.
4*(w - 2)*(w - 1)**3
Let o(h) = 14*h**3 + 146*h**2 - 126*h + 28. Let z(c) = 4*c + 66. Let g be z(-16). Let m(b) = -b**3 - b - 1. Let s(j) = g*m(j) + o(j). Solve s(x) = 0.
-13, 1/3, 1/2
Let i be ((-2)/12)/((-555)/(-10)). Let u = 437/2331 - i. Factor -2/21*n - 2/21 + u*n**2 + 4/21*n**3 - 2/21*n**5 - 2/21*n**4.
-2*(n - 1)**2*(n + 1)**3/21
Let b(p) = 6*p**2 + 24*p + 48. Let l(m) = 7*m**2 + 24*m + 48. Suppose 0 = 11*u - 16*u + 200. Let s = u - 43. Let i(y) = s*l(y) + 4*b(y). Factor i(t).
3*(t + 4)**2
Suppose -779 = -3*j - 770. Let s(g) be the third derivative of 14*g**2 + 0*g + 0 + 3/80*g**6 - 3/16*g**4 - 1/60*g**5 + 1/6*g**j. Factor s(t).
(t - 1)*(t + 1)*(9*t - 2)/2
Let p(o) = o**3 + 3786*o**2 - 2388945*o + 502479179. Let u(q) = -5*q**3 - 15144*q**2 + 9555773*q - 2009916715. Let m(x) = 26*p(x) + 6*u(x). Factor m(l).
-4*(l - 631)**3
Let j be (-26)/(-10) - 81/135. Factor -6 - 169*n - 5*n**j + 76*n + 76*n.
-(n + 3)*(5*n + 2)
Let x(d) = -10*d**2 - 3*d - 25. Let n be x(-7). Let h = n + 497. Solve 0 - 9/4*z**h - 1/2*z - 11/4*z**2 = 0 for z.
-1, -2/9, 0
Let n(z) = -24*z - 337. Let o be n(-14). Let s be ((-14)/(-4) - o)*(-13)/(-39). Factor 13/4*w**3 + w + 1/4*w**5 + 3*w**2 + 0 + s*w**4.
w*(w + 1)**2*(w + 2)**2/4
Let q(a) = -23*a**4 - 1406*a**3 + 5596*a**2 - 5544*a + 32. Let j(i) = 30*i**4 + 1875*i**3 - 7461*i**2 + 7392*i - 42. Let k(s) = -16*j(s) - 21*q(s). Factor k(n).
3*n*(n - 154)*(n - 2)**2
Let g(j) be the second derivative of j**7/42 - 2*j**6/15 - 2*j**5/5 + 8*j**4/3 + 8*j**3/3 - 32*j**2 - 9*j - 108. Factor g(n).
(n - 4)*(n - 2)**2*(n + 2)**2
Let t(i) be the first derivative of i**9/1512 - 3*i**8/280 + 9*i**7/140 - 3*i**6/20 + 17*i**3 + 9. Let j(a) be the third derivative of t(a). Factor j(y).
2*y**2*(y - 3)**3
Suppose -4*a + 8 + 0 = 0. Let b(h) be the first derivative of 9*h**3 - 2 - 108*h - 18*h**a - 18*h**3 + 8*h**3. Determine o so that b(o) = 0.
-6
Factor -164/3 + 2/3*a**3 + 80/3*a**2 - 86/3*a.
2*(a - 2)*(a + 1)*(a + 41)/3
Let 8484*i**2 + 531 + 8493/2*i - 24*i**3 = 0. Calculate i.
-1/4, 354
Let d = -152461 + 152464. Let -81/5 - 30*v**d + 378/5*v + 21/5*v**4 + 12/5*v**5 - 36*v**2 = 0. What is v?
-3, 1/4, 1, 3
Let k(p) = -p**2 - 54*p - 364. Let q be k(-46). Let b be q/144*212 - 5. Factor b*r - 2/9*r**2 - 8/9.
-2*(r - 2)**2/9
Let p(o) = 28*o**2 + 22*o - 434. Let g(l) = -195*l**2 - 150*l + 3040. Let i(c) = 3*g(c) + 20*p(c). Factor i(j).
-5*(j - 4)*(5*j + 22)
Let j be (51/(-119))/((-3)/21). Suppose -j*g = -3*z + 9 - 3, -z - 4 = -4*g. Solve 3/7*a**g - 3/7*a**3 + 0 + 0*a = 0.
0, 1
Let w = 17/124 - -7479/620. Let z = w + -121/10. Solve 1/5*o**3 + 0*o**2 + 1/10*o**4 - z - 1/5*o = 0 for o.
-1, 1
Let n = -44 - -47. Let q be (2/n)/((2 + 5)/21). What is f in -5*f**3 + 53*f**2 - 18*f**q - 8 + 8 = 0?
0, 7
Factor 0 - 5/3*r**3 + 1300/3*r + 305/3*r**2.
-5*r*(r - 65)*(r + 4)/3
Suppose 2/5*f**4 + 4/5*f**3 + 4*f + 0 - 26/5*f**2 = 0. Calculate f.
-5, 0, 1, 2
Let x = -1775 + 1780. Let f(c) be the first derivative of 0*c + 0*c**2 + 5/2*c**4 - 15 - 4/5*c**x + 2*c**3. Factor f(k).
-2*k**2*(k - 3)*(2*k + 1)
Factor 0*p**2 - 138831 - 1440*p - 3*p**2 + 62382 - 96351.
-3*(p + 240)**2
Let c(i) be the second derivative of -i**6/360 + i**5/36 - i**4/24 - i**3/2 + 18*i**2 + 6*i - 5. Let u(y) be the first derivative of c(y). Factor u(m).
-(m - 3)**2*(m + 1)/3
Let o(x) be the first derivative of 1/42*x**6 + 0*x**2 + 22 - 1/28*x**4 + 0*x + 1/35*x**5 - 1/21*x**3. Factor o(h).
h**2*(h - 1)*(h + 1)**2/7
Suppose 3*t - 7*t = -708. Let c be t/45 - (-6)/72*-4. Find l, given that 4/5 + 24/5*l**2 - c*l - 2*l**3 = 0.
2/5, 1
Let t = -13148009/9 - -1460890. Solve 1/9 + t*b - 1/9*b**3 - 1/9*b**2 = 0.
-1, 1
Let q(i) be the second derivative of -i**4/36 - 7*i**3/6 + 98*i**2/3 - 1536*i. Factor q(y).
-(y - 7)*(y + 28)/3
Let z(n) be the third derivative of n**6/1260 - n**5/210 - 55*n**3/3 + 22*n**2 - 2. Let p(a) be the first derivative of z(a). Let p(o) = 0. What is o?
0, 2
Let k(i) be the first derivative of -4*i**5/5 - i**4 + 344*i**3/3 + 552*i**2 - 1440*i + 1404. Find u, given that k(u) = 0.
-6, 1, 10
Let v be 1 - (1056/64 - 20). Factor v + 1/4*m**2 + 11/4*m.
(m + 2)*(m + 9)/4
Let k = 38794/423 + -3642/47. Let 166/9*n**2 + k*n + 8/3 + 14/3*n**3 = 0. What is n?
-3, -2/3, -2/7
Let j(i) be the first derivative of 4*i**5/15 + 35*i**4/6 - 64*i**3/3 + 79*i**2/3 - 40*i/3 - 1215. Let j(z) = 0. Calculate z.
-20, 1/2, 1
Suppose -32 = 53*a + 21. Let s be (-300)/(-45) + 4/a + -2. Determine p so that s - 5/6*p + 1/6*p**2 = 0.
1, 4
Let c(h) = h**3 + 39*h**2 - 37*h + 124. Let r be c(-40). Factor -14*y**4 - 3*y + 2 + 3*y**r - 2*y + y**3 + 9*y**4 + y**4 + 3*y**2.
-(y - 1)**3*(y + 2)
Let m(d) = 36*d**2 + 27*d. Suppose -7*w - 243 = -229. Let l(y) = 5*y**2 + 4*y. Let s(n) = w*m(n) + 15*l(n). Factor s(q).
3*q*(q + 2)
Let p(