-b**6/540 - 139*b**5/135 - 4760*b**4/27 + 39200*b**3/27 - 123*b**2 + 2. Factor w(i).
-2*(i - 2)*(i + 140)**2/9
Let x = 1880759 + -9403748/5. Factor -32/5*h**3 + x*h**2 + 3/5*h**4 + 0 - 18/5*h.
h*(h - 9)*(h - 1)*(3*h - 2)/5
Determine f, given that -3/5*f**4 - 6 - 27/5*f**3 - 15*f**2 - 81/5*f = 0.
-5, -2, -1
Let o = 4073 + -4070. Let m(r) be the third derivative of 1/210*r**5 + 0*r**o + 1/84*r**4 + 0 + 0*r - 18*r**2. Factor m(y).
2*y*(y + 1)/7
Solve 101*r**2 + 23*r - 110*r**5 + 3*r + 77*r**3 + 13*r + 3*r + 19*r**4 + 111*r**5 = 0 for r.
-14, -3, -1, 0
Let o be ((-440)/(-112) - 4)/((-5)/(-30))*-6. Suppose -o + 2/7*c**2 - 16/7*c = 0. What is c?
-1, 9
Suppose 53*v = 45*v + 40. Factor b - 16*b**2 + 6*b + v + 15*b**2 - 3*b.
-(b - 5)*(b + 1)
Let a(o) be the third derivative of -o**6/40 - 43*o**5/10 - 405*o**4/8 - 7104*o**2. Solve a(c) = 0.
-81, -5, 0
Let w(g) be the third derivative of g**7/70 + g**6/20 - g**5/20 - g**4/4 - 643*g**2. What is o in w(o) = 0?
-2, -1, 0, 1
Let g(q) be the second derivative of 0 - 1/5*q**5 - 9/2*q**3 + 21/16*q**4 - 17/2*q**2 - 48*q + 1/80*q**6. Let r(k) be the first derivative of g(k). Factor r(h).
3*(h - 3)**2*(h - 2)/2
Determine n so that 280*n**3 - 15*n**2 - 800 + 789 + 571 - 830*n + 5*n**4 = 0.
-56, -2, 1
Suppose -3*r - 5*x = -37, 23 = 4*r + 4*x - 13. Factor 2/3*a**3 + 1/3 + 2/3*a**2 - a - a**r + 1/3*a**5.
(a - 1)**4*(a + 1)/3
Suppose 3*j - 7 = -q, -27 = -j + 5*q + 2. Let -4 + 24*w**2 + 12*w + 4*w**3 + j - 40*w = 0. What is w?
-7, 0, 1
Let d = -37781 + 188909/5. What is o in 0*o + 0 - 4/5*o**3 + 1/5*o**5 + 1/5*o**4 - d*o**2 = 0?
-2, -1, 0, 2
Let u(s) = 32*s + 323. Let d be u(-10). Suppose -4*i + d = j - 8, 36 = 4*i - 4*j. What is g in -2/5*g**i + 2/5*g**3 + 0*g**2 + 0*g + 0 = 0?
0, 1
Suppose 4*x - x = s + 11, -5*x - 2*s = -33. Suppose -x*y = 3*q - 95, 2*q = q + 4*y + 9. What is j in -14*j - 5*j**3 - 15*j + q*j**2 - 3 + 18 - 6*j = 0?
1, 3
Let c(b) be the first derivative of 2*b**3/51 + 1400*b**2/17 + 980000*b/17 + 554. Solve c(d) = 0.
-700
Let h(c) be the first derivative of c**6/15 + 6*c**5/5 - 59*c**4/10 - 58*c**3/5 + 58*c**2/5 + 144*c/5 + 805. Let h(r) = 0. What is r?
-18, -1, 1, 4
Let l = 963/34 + -426813/15062. Let x = 868/1329 - l. Find j, given that x*j**4 - 1/2*j**3 - 2/3*j**2 + 0 + 2/3*j - 1/6*j**5 = 0.
-1, 0, 1, 2
Let c(f) be the first derivative of -5*f**6/6 + 107*f**5/5 - 205*f**4/2 + 638*f**3/3 - 449*f**2/2 + 119*f - 6459. Find r such that c(r) = 0.
1, 7/5, 17
Let k be 8 + -16 - (-17)/(3315/1590). Factor -4/13*j**2 + 0 - 6/13*j + k*j**3.
2*j*(j - 3)*(j + 1)/13
Let q(w) = 4*w**3 + 121*w**2 - 336*w + 211. Let o(l) = -9*l**3 - 303*l**2 + 840*l - 528. Let i(u) = -5*o(u) - 12*q(u). Factor i(y).
-3*(y - 18)*(y - 2)*(y - 1)
Let c = 601556 - 601554. Factor -11*b - 38/3*b**c + 1/3*b**5 - 16/3*b**3 + 0*b**4 - 10/3.
(b - 5)*(b + 1)**3*(b + 2)/3
Let m(j) be the second derivative of 39/80*j**5 + 1/15*j**6 + 1/12*j**3 - 2/21*j**7 + 17/48*j**4 + 0 + 107*j + 0*j**2. Find d, given that m(d) = 0.
-1, -1/4, 0, 2
Factor -3*b**4 - 66*b**3 + 212 + 1191*b**2 + 164 - 1608*b + 210 + 182 - 282*b**2.
-3*(b - 8)*(b - 1)**2*(b + 32)
Let z(q) be the third derivative of -q**5/90 + 49*q**4/9 + 44*q**3 - 96*q**2 + 13*q. Let z(a) = 0. What is a?
-2, 198
Let i(n) be the third derivative of n**5/30 + 8*n**4/3 + 77*n**3 - 69*n**2 - 5. Factor i(m).
2*(m + 11)*(m + 21)
Let b(l) be the first derivative of -13/3*l**2 - 22 - 16/9*l**3 - 4*l - 1/6*l**4. Solve b(q) = 0 for q.
-6, -1
Let j(d) be the third derivative of -d**6/540 - d**5/5 - 27*d**4/4 + 11*d**2 + 28. Factor j(y).
-2*y*(y + 27)**2/9
Let x(l) be the second derivative of l**4/54 - 10*l**3/9 + 221*l**2/9 + 6*l - 257. Suppose x(j) = 0. Calculate j.
13, 17
Let l be 2/7 - (-760)/133. Let x be ((-88)/24)/(-7 + l). Find p, given that 3*p**2 - x*p + 2/3 = 0.
2/9, 1
Factor 1/10*f**4 + 441/10 + 263/5*f**2 + 462/5*f + 22/5*f**3.
(f + 1)**2*(f + 21)**2/10
Let c = -620897 + 620901. Find o such that 4/7*o**5 - 12/7*o**3 + 8/7*o - 2/7*o**c - 6/7 + 8/7*o**2 = 0.
-3/2, -1, 1
Suppose -3*u + 3*d = -120, d - 67 = -5*u + 157. Solve -6*f + 21*f**2 - u*f**2 - 3*f**3 + 12*f**2 + 0*f**3 = 0 for f.
-3, -2/3, 0
Let o(q) be the second derivative of q**5/360 + q**4/48 - 5*q**3/18 + 43*q**2/2 - 70*q. Let k(b) be the first derivative of o(b). Factor k(t).
(t - 2)*(t + 5)/6
Let k(w) be the second derivative of -w**5/30 + 491*w**4/18 - 20008*w**3/3 - 20172*w**2 - 201*w + 2. Solve k(m) = 0.
-1, 246
Let r be 1836/(-1080) + (-104)/(-16). Factor 6/5*w**3 + 2/5*w**2 - r*w - 8/5.
2*(w - 2)*(w + 2)*(3*w + 1)/5
Let b(h) be the first derivative of -h**5/5 + 121*h**4/12 - 37*h**3/9 - 121*h**2/6 + 40*h/3 + 6981. Determine d so that b(d) = 0.
-1, 1/3, 1, 40
Solve 1553*t + 5*t**2 - 29*t**2 - 1192 - 5831*t - 3778*t + 900*t = 0 for t.
-298, -1/6
Find y such that -1560/7 + 28*y - 4/7*y**2 = 0.
10, 39
Suppose 0 = l + l + 20. Let n be (8/(-20))/(4/l) - -1. Let 0 - 9 + 35*c**n - 137*c - 21 + 42*c = 0. What is c?
-2/7, 3
Let y(u) be the second derivative of u**7/11340 - 13*u**6/1620 - u**5/20 - 17*u**4/12 - 3*u**2 + 141*u. Let f(r) be the third derivative of y(r). Factor f(a).
2*(a - 27)*(a + 1)/9
Let u be (-2)/(-12) - 165/(-90). Suppose -4*k - 319 = -2*z - 345, 5*k - 25 = 4*z. Factor 3/2*i + z - 1/2*i**u.
-(i - 5)*(i + 2)/2
Let c be (3 + (-9)/7)*(-140)/(-8). Solve -20*g**4 - 14*g - 4 - 8*g + 8*g**2 - 30*g**2 + c*g**3 + 38*g**4 = 0 for g.
-2, -1/3, 1
Let z = -2061/1300 - -21/13. Let a(b) be the second derivative of -z*b**5 + 0 + 0*b**3 - 15*b + 0*b**4 + 0*b**2. Suppose a(j) = 0. What is j?
0
Factor -3/7*w**3 - 26*w + 96/7 + 59/7*w**2.
-(w - 16)*(w - 3)*(3*w - 2)/7
What is f in 132/5*f**2 + 0 + 2/5*f**3 + 2178/5*f = 0?
-33, 0
Suppose -2/11*p**4 - 62*p**2 + 592/11*p + 92/11*p**3 + 0 = 0. What is p?
0, 1, 8, 37
Let z(j) = -5*j**4 + 7*j**3 - 30*j**2 - 4*j + 38. Let v(h) = -21*h**4 + 25*h**3 - 120*h**2 - 12*h + 154. Let g(o) = 6*v(o) - 26*z(o). Factor g(r).
4*(r - 4)**2*(r - 1)*(r + 1)
Let n(k) = -k**3 - 31*k**2 - 198*k - 110. Let g be n(-8). Suppose -4/7*d**3 + 36/7*d - 72/7 + 8/7*d**g = 0. What is d?
-3, 2, 3
Suppose 3200*m - 3196*m - 3*h - 851 = 0, 3*h - 45 = 0. Suppose m + 2/7*n**2 - 16*n = 0. Calculate n.
28
Let p(d) = d**3 + 11*d**2 + 9*d - 3. Let c be p(-10). Let j(r) = -6*r + 50. Let k be j(c). Suppose 20 - 11 - 4*n**4 + k*n**2 - 13 = 0. Calculate n.
-1, 1
Let y(c) = 2*c**2 - 16. Let t be 2*(1 - (0 - 0)). Let x(r) be the second derivative of -r**4/12 - 2*r - 6. Let h(v) = t*x(v) - y(v). Factor h(d).
-4*(d - 2)*(d + 2)
Let h(u) = 8*u - 22. Let k be h(4). Let -138*n**3 - k*n**5 - 84*n**2 + 24*n + 117*n**4 + 9*n**5 + 75*n**5 + 7*n**5 = 0. Calculate n.
-2, -2/3, 0, 2/9, 1
Let o be 1 + (-580)/(-180) + (-32)/12. Factor -16/9 + 2/9*i**2 + o*i.
2*(i - 1)*(i + 8)/9
Let i(q) be the third derivative of q**6/90 - 5*q**5/6 + 4*q**4 + 52*q**3/3 + 79*q**2. Let y(f) be the first derivative of i(f). Factor y(g).
4*(g - 24)*(g - 1)
Let z(i) = 2*i**4 + 4*i**2 + 6*i + 6. Let p(f) be the third derivative of -f**6/120 + f**4/24 + f**3/6 + f**2 - 97*f. Let w(d) = -6*p(d) + z(d). Solve w(r) = 0.
-2, -1, 0
Let u(z) be the third derivative of -2/9*z**4 - 2/45*z**7 - 4/9*z**5 - 23/90*z**6 + 0*z + 0*z**3 + 0 - 36*z**2. What is j in u(j) = 0?
-2, -1, -2/7, 0
Let f be (-4)/(-16) - (325/52)/25. Let t(m) be the third derivative of -3/4*m**5 + 0*m + f*m**3 - 1/4*m**4 - 15*m**2 + 0. Let t(q) = 0. What is q?
-2/15, 0
Let r(h) = 188*h**2 + 3571*h - 17. Let m be r(-19). Solve -20/3*b**3 - 5/3 + 0*b**m + 5*b = 0 for b.
-1, 1/2
Let u be (8/12 - (1 - 0))*-6. Suppose -3*h + 21 = 5*w - 2*w, -2*h = -u*w + 6. Suppose h*y**5 + 2*y + 8*y**2 - 4*y**3 + 0 - 4*y**4 + 0*y**3 - 4 = 0. Calculate y.
-1, 1, 2
Let u(p) be the first derivative of -p**4/14 - 20*p**3/21 + 23*p**2/7 - 24*p/7 - 1087. Solve u(h) = 0 for h.
-12, 1
Let w(a) = -19*a - 252. Let g be w(-27). Factor 80*k + 136*k**3 + 36*k**2 + 129*k**3 - g*k**3.
4*k*(k + 4)*(k + 5)
Let j(t) be the second derivative of 4/15*t**3 + 0 + 17/18*t**4 - 48*t - 4/15*t**2 + 53/150*t**5 - 9/25*t**6 - 13/63*t**7. What is n in j(n) = 0?
-1, -2/5, 2/13, 1
Let p(x) = x**2 + 20*x + 2. Let v = -53 + 33. Let z be p(v). Factor 8*a**2 + 8*a**2 - a**z - 8*a**4 - 5*a**3 + 5*a - 10 + 3*a**4.
-5*(a - 1)**2*(a + 1)*(a + 2)
Factor 9*z**2 + 120*z + 18 - 4*z*