l**3 - l**2 + 6*l + 12. Let z(y) = p*a(y) + 5*b(y). Find j such that z(j) = 0.
0, 1
Let x be (-22)/198 - 3/(-27). Let f(q) be the third derivative of 49/6*q**3 + 1/60*q**5 - 7/12*q**4 + 0*q + x + 21*q**2. Factor f(m).
(m - 7)**2
Let r be ((-10)/4)/(38/(-76)). Let -10*v + r*v**2 + 10*v**3 + 5/2*v**4 - 15/2 = 0. Calculate v.
-3, -1, 1
Let w(a) be the first derivative of 2*a**3/51 + 3908*a**2/17 + 7636232*a/17 + 3099. Find h, given that w(h) = 0.
-1954
Suppose 29 = 50*p - 71. Let v(f) be the second derivative of -5/12*f**4 + 1/4*f**5 + 0*f**3 - 8*f + 0*f**p + 0. Factor v(n).
5*n**2*(n - 1)
Let b be (-97)/(-10) + 11 + -21 + 2314/780. Factor -4*v + b - 1/3*v**3 + 2*v**2.
-(v - 2)**3/3
Let s(b) be the second derivative of b**4/6 + 111*b**3 - 670*b**2 - 291*b - 4. Factor s(c).
2*(c - 2)*(c + 335)
Let l(x) be the first derivative of -5*x**3/3 - 1168*x**2/3 - 932*x/3 + 2702. Factor l(d).
-(3*d + 466)*(5*d + 2)/3
Suppose 10*r = 8*r - 4*t - 48, 3*r - t + 107 = 0. Let q be 51/r*68/(-18) + -5. Factor 4/3*w**2 - 5/3*w + q - 1/3*w**3.
-(w - 2)*(w - 1)**2/3
Let q be (-105)/12*288/(-10080). Factor -225/4 + 56*s**2 - 15/2*s**3 + 15/2*s + q*s**4.
(s - 15)**2*(s - 1)*(s + 1)/4
Let c(y) = -y**3 + y**2 - y + 1. Let o(i) = 90*i + 551 - 529 - 6*i**2 - 30*i**2 - 6*i**3. Let k(l) = 2*c(l) + o(l). Suppose k(h) = 0. Calculate h.
-6, -1/4, 2
Let r(k) be the first derivative of -k**4/90 - k**3/9 - 2*k**2/5 - 16*k - 50. Let a(j) be the first derivative of r(j). Factor a(n).
-2*(n + 2)*(n + 3)/15
Factor 187*n**2 - 968*n - 274*n**2 + 67*n**3 - 124*n**2 - 2*n**4 - 669*n**2 + 19*n**3.
-2*n*(n - 22)**2*(n + 1)
Let x(c) = -11*c**3 - 4*c**2 + 5*c + 13. Let z be x(-2). Suppose z = 46*a + 75. Find v, given that -3/4*v**2 + 9/2*v**4 + 0 + 21/8*v**5 + a*v + 9/8*v**3 = 0.
-1, 0, 2/7
Let r = 324 - 1612/5. Let c = 204654 + -204652. Suppose -r*p + 8*p**c - 48*p**4 - 288/5*p**5 + 0 + 46/5*p**3 = 0. Calculate p.
-2/3, 0, 1/4
Suppose 15*t = 186*t + 14*t - 925. Suppose 24/5*d**4 + 10*d**3 - 14/5*d**t - 44/5*d**2 - 72/5*d - 16/5 = 0. What is d?
-1, -2/7, 2
Solve -12/5 + 2/5*i**3 + 1/10*i**4 - 17/5*i - 7/10*i**2 = 0.
-4, -2, -1, 3
Let t = -12488/39 - -6936/13. Let p = t + -213. Find a such that p*a**2 + 0 + 2/3*a = 0.
-2, 0
Let c be 46/14 - (-48)/(-168). Let j(k) be the second derivative of -1/30*k**4 + 0 + 0*k**c + 1/50*k**5 - 11*k + 0*k**2. Factor j(w).
2*w**2*(w - 1)/5
Factor 2/3*r**2 - 46/3*r + 260/3.
2*(r - 13)*(r - 10)/3
Let o be (6/9)/(524/393*(-11)/(-4)). Factor 0 - 90/11*w - o*w**2.
-2*w*(w + 45)/11
Let o(v) = -2*v**2 + 144*v + 462. Let r be o(75). Let q(i) be the third derivative of 0*i + 1/180*i**5 + 0 - 1/9*i**3 + r*i**2 - 1/72*i**4. Factor q(t).
(t - 2)*(t + 1)/3
Let i = 9223949545/1214 - 7597981. Let s = -2/607 + i. Factor -1/2*z**2 - z - s.
-(z + 1)**2/2
Let z(y) be the third derivative of -5/12*y**5 - 55/6*y**4 + 54*y + 0 + 15/2*y**3 - 2*y**2. Let z(c) = 0. Calculate c.
-9, 1/5
Factor -24*a - 36*a**3 + 126*a + 140*a**2 - 33*a - 18*a - 35*a.
-4*a*(a - 4)*(9*a + 1)
Let c = 4735/3549 + -1/1183. Let f(l) be the second derivative of c*l**4 + 4*l**2 + 1/5*l**5 + 10/3*l**3 + 0 - 21*l. Factor f(t).
4*(t + 1)**2*(t + 2)
Let g(r) be the third derivative of 1331*r**7/630 - 1694*r**6/15 + 1826*r**5/15 - 496*r**4/9 + 40*r**3/3 + 2*r**2 - 40. Let g(s) = 0. What is s?
2/11, 30
Let y(r) be the first derivative of -r**9/15120 + r**8/2100 - r**7/1400 + 32*r**3/3 - 284. Let w(q) be the third derivative of y(q). What is d in w(d) = 0?
0, 1, 3
Let c(b) be the first derivative of -5*b**6/6 + 9*b**5 + 60*b**4 + 260*b**3/3 + 741. Factor c(r).
-5*r**2*(r - 13)*(r + 2)**2
Factor 3/4*f**2 - 15/2*f - 693/4.
3*(f - 21)*(f + 11)/4
Let b(h) = 3*h**2 - 20*h - 2. Let l = -329 + 333. Let i(q) = 13*q**2 - 78*q - 9. Let r(f) = l*i(f) - 18*b(f). Find z, given that r(z) = 0.
0, 24
Let g(b) be the second derivative of b**5/5 + 10*b**4/3 - 104*b**3/3 + 112*b**2 - 7333*b. Factor g(t).
4*(t - 2)**2*(t + 14)
Let z(m) = -2*m**4 + 22*m**3 - 250*m**2 - 666*m - 420. Let o(l) = l**4 - 14*l**3 + 251*l**2 + 665*l + 420. Let j(h) = 4*o(h) + 3*z(h). Solve j(c) = 0 for c.
-7, -2, -1, 15
Suppose -2*v = f - 3*f + 8, 2*f + 3*v - 8 = 0. Suppose 30 = 3*d + 2*d - 5*c, -2*d = 3*c - 7. Factor -3*y**3 - 7*y**3 + d*y**2 + 6*y + f*y - 5*y**4 + 0*y.
-5*y*(y - 1)*(y + 1)*(y + 2)
Let g(s) be the third derivative of -36*s**2 + 4/5*s**5 + 1/15*s**6 - 4/3*s**4 + 0*s + 0 - 64/3*s**3 - 2/105*s**7. Factor g(k).
-4*(k - 4)*(k - 2)*(k + 2)**2
Let x(o) be the second derivative of 2*o**7/105 + o**6/30 - o**5/15 - o**4/6 - 4*o**2 - 2*o - 3. Let k(y) be the first derivative of x(y). Factor k(r).
4*r*(r - 1)*(r + 1)**2
Let j = 263399/204855 - 2/29265. Let w(n) be the first derivative of -8/7*n + j*n**2 + 1/14*n**4 - 4/7*n**3 - 14. Factor w(t).
2*(t - 4)*(t - 1)**2/7
Let o(s) be the second derivative of -4*s**6/135 - 7*s**5/18 - 71*s**4/54 - 28*s**3/27 + 4*s**2/3 + 15*s + 26. Let o(q) = 0. What is q?
-6, -2, -1, 1/4
Let z be 16416/195 + (528/40)/11. Let s = -9977/117 + z. Factor 0 - n**4 - s*n**5 - 2/3*n - 19/9*n**2 - 7/3*n**3.
-n*(n + 1)**3*(n + 6)/9
Let f(u) be the first derivative of 4/35*u**5 - 4/7*u**2 - 16/21*u**3 + 12/7*u - 33 + 2/7*u**4. Factor f(q).
4*(q - 1)**2*(q + 1)*(q + 3)/7
Factor -6/5*c**3 + 0 + 1/5*c**5 + 8/5*c + 1/5*c**4 - 4/5*c**2.
c*(c - 2)*(c - 1)*(c + 2)**2/5
Let x(o) be the first derivative of -o**3/18 + 911*o**2/6 - 829921*o/6 - 1090. Find c such that x(c) = 0.
911
Suppose 164*o - 15*o = 685 - 387. Determine l, given that 100/9*l**3 - 8/9 + 14/3*l**4 + 0*l + 22/3*l**o = 0.
-1, -2/3, 2/7
Let x(i) be the third derivative of 3*i**2 - 1/6*i**4 - 15*i + 1/120*i**6 - 2/21*i**3 + 1/420*i**5 + 0. Factor x(z).
(z - 2)*(z + 2)*(7*z + 1)/7
Let c be ((-644)/(-6440))/((-3)/(-1) + (2 - 96/20)). Determine g, given that 9/2*g**2 - 1/2*g**3 - 9/2 + c*g = 0.
-1, 1, 9
Suppose 34*c - 6*c - 336 = 0. Let h be 105/50 + -2*c/40. Solve 3 - h*w**2 + 3/2*w = 0 for w.
-1, 2
Let w(a) = 2*a**2 - 19*a + 7. Let k be (20/(-14))/((-6)/42). Let m be w(k). Determine n, given that -3*n**3 - 11*n + 5*n - 17 + m + 9*n**2 = 0.
0, 1, 2
Let y be 20/((-14)/(-8) - 3/(-12)). Let f = y - 5. What is n in n**2 + 4 - 6*n**2 + 6*n**2 - n + f*n = 0?
-2
Let g(f) be the first derivative of f - 1/12*f**6 + 131 + 1/2*f**4 + 0*f**5 - 1/3*f**3 - 3/4*f**2. Determine h, given that g(h) = 0.
-2, -1, 1
Let w(i) be the first derivative of 595*i + 5/3*i**3 + 161/2*i**2 + 32. Let v(j) = 3*j**2 + 107*j + 397. Let n(x) = -7*v(x) + 5*w(x). Factor n(a).
4*(a + 7)**2
Let s be (-4)/14 - (-14358)/(-21). Let n be ((-4)/(-11))/2 - s/3135. Factor n*j**3 + 2/15*j**2 - 14/15*j - 2/3.
2*(j + 1)**2*(3*j - 5)/15
Let u(d) be the second derivative of 0*d**3 + 165*d - 2/15*d**6 + 0 + d**5 + 0*d**2 + 2*d**4. Factor u(g).
-4*g**2*(g - 6)*(g + 1)
Let i(z) = 41347*z**3 - 250399*z**2 + 11976*z - 144. Let g(n) = -6891*n**3 + 41728*n**2 - 1996*n + 24. Let r(l) = -13*g(l) - 2*i(l). Factor r(s).
(s - 6)*(83*s - 2)**2
Suppose 2*w = -5*y + 3*w + 15, 0 = -2*y - 2*w - 6. Let i be 114/342 - 5/33. Suppose -i + 4/11*f - 2/11*f**y = 0. What is f?
1
Let a(f) be the third derivative of f**8/560 + f**7/350 - 3*f**6/200 - f**5/100 + f**4/20 + 904*f**2. Determine v so that a(v) = 0.
-2, -1, 0, 1
Let n(h) = -136*h**2 - 233*h + 759. Let r(c) = 30*c**2 + 58*c - 190. Let b(q) = 2*n(q) + 9*r(q). Factor b(d).
-2*(d - 24)*(d - 4)
Suppose l = 7*j - 8*j + 7, -12 = 4*j - 4*l. Factor v**4 + 304*v**2 - 58*v**3 - 27*v - 249*v**j + 29*v**3.
v*(v - 27)*(v - 1)**2
Let j(x) be the first derivative of -2*x**3/15 + 988*x**2/5 - 488072*x/5 - 1497. Factor j(n).
-2*(n - 494)**2/5
Factor 2/3*z**3 - 176/3*z - 152 + 10*z**2.
2*(z - 6)*(z + 2)*(z + 19)/3
Let l(a) be the first derivative of -a**4/14 + 52*a**3/21 - 48*a**2/7 - 3136. Solve l(d) = 0.
0, 2, 24
Factor -396/5*i - 411 + 3/5*i**2.
3*(i - 137)*(i + 5)/5
Let d(r) = -13*r**5 - 36*r**4 - 137*r**3 - 2*r**2 + 2. Let n(l) = -8*l**5 - l**3 - l**2 + 1. Let i(a) = -d(a) + 2*n(a). Factor i(t).
-3*t**3*(t - 15)*(t + 3)
Determine u, given that 121/7*u - 375/7*u**3 + 256/7*u**2 - 2/7 = 0.
-1/3, 2/125, 1
Let p(r) = r**2 + r - 3655. Let m be p(60). Let b(n) be the second derivative of 0 + 1/15*n**m + 2/3*n**2 + 2/3*n**3 + 1/3*n**4 - 5*n. Solve b(i) = 0 for i.
-1
Suppose -14*t - 885 + 12925 = 0. Let r = t + -860. So