e -43*z - 1008 = -55*z. Solve 408*f - z*f**2 + 4*f**3 - 229*f - 267*f = 0.
-1, 0, 22
Let r(l) be the second derivative of l**5/10 + l**4 + 3*l**3 - 6470*l. Suppose r(k) = 0. Calculate k.
-3, 0
Suppose 4/7*w**2 + 40/7*w + 0 = 0. Calculate w.
-10, 0
Let y = -310651/148 + 2099. Let f = 2671/1036 - y. Factor -24/7*h**2 + f*h - 4/7 + 8/7*h**3.
2*(h - 2)*(2*h - 1)**2/7
Factor 9011722*m**4 - 164 - 24*m**3 - 1236 + 106*m**2 + 1320*m - 9011724*m**4.
-2*(m - 7)*(m - 1)*(m + 10)**2
Suppose -6*k = -5*d - 26, -8 = -2*k - 0*k + 4. Solve 21*q + 441/2 + 1/2*q**d = 0.
-21
Let y(m) be the third derivative of 0*m**6 - 30*m**2 + 0*m**3 + 2 - 2/525*m**7 + 0*m**5 + 0*m**4 + 0*m. Let y(v) = 0. What is v?
0
Suppose q - 3*o = 0, 4*o - 5 = 45*q - 44*q. Let b(f) be the first derivative of -q + 2/3*f + 11/6*f**2 + f**3. Determine z so that b(z) = 0.
-1, -2/9
Factor -27*x**2 - 3/5*x**4 + 0*x + 0 + 54/5*x**3.
-3*x**2*(x - 15)*(x - 3)/5
Factor -1/5*w**2 - 69169/5 - 526/5*w.
-(w + 263)**2/5
Factor 1/4*j**3 - 137/4*j**2 + 4331/4*j + 25205/4.
(j - 71)**2*(j + 5)/4
Let k(a) be the third derivative of -1/168*a**8 - 1/60*a**6 + 0*a + 0 - 1/10*a**5 + 1/35*a**7 + 0*a**3 + 1/6*a**4 - 10*a**2. Let k(c) = 0. Calculate c.
-1, 0, 1, 2
Let g(a) be the second derivative of 2*a**6/15 - 14*a**5/5 - 89*a**4/3 - 76*a**3 + 8*a + 25. Factor g(n).
4*n*(n - 19)*(n + 2)*(n + 3)
Let j(b) be the third derivative of b**7/945 - b**6/15 + 6*b**5/5 - 5*b**2 + 184. Solve j(y) = 0.
0, 18
Suppose -3*u - u = -3*w - 592, -u + 2*w = -148. Suppose 0 = 22*i - u + 104. Suppose -2/11*m**3 - 4/11*m**i + 0 + 0*m = 0. Calculate m.
-2, 0
Determine w, given that -697*w**4 + 84*w**4 + 8789*w**2 - 576 + 4688*w + 7812*w**3 + 5*w**4 - 19925*w**2 - 180*w**5 = 0.
-9, 2/9, 2/5, 1, 4
What is l in 304/9*l**4 + 28*l**3 + 4/3 - 74*l**2 + 98/9*l = 0?
-2, -3/38, 1/4, 1
Let n = -65 + 65. Suppose 5*m - 21 = 2*j, n*j = 5*j - 3*m + 5. Solve -2/5*x - 3/5*x**j + 3/5 + 2/5*x**3 = 0 for x.
-1, 1, 3/2
Let z be (30/(-14136))/((-3)/240). Let u = z + -2/31. Let -u + 4/19*h - 2/19*h**2 = 0. What is h?
1
Let h = 183 + 132. Suppose 5*q**4 + 0*q**4 + 431*q**2 + 480*q - 601*q**2 - h = 0. Calculate q.
-7, 1, 3
Let l(y) = -5*y**2 + y - 3. Let n(v) = 26*v**2 - 24*v - 105. Let w(q) = 10*l(q) + 2*n(q). Factor w(a).
2*(a - 24)*(a + 5)
Suppose -9*y + 10 = -26. Solve -8 - 17*c**3 - 17*c**2 - 7*c**y - 58*c**2 - 27*c**3 - 189*c + 143*c = 0.
-4, -1, -2/7
Let y = 869 - 866. Suppose -t = 5*n + 15 - 10, 3*n + y*t + 15 = 0. Factor -1/2*a**3 - a + 3/2*a**2 + n.
-a*(a - 2)*(a - 1)/2
Suppose 0 = 14*j - 60*j + 92. Factor -26 - 26 - 40*w + 70 - 29 + 4*w**j - 33.
4*(w - 11)*(w + 1)
Let m(y) be the second derivative of -88*y + 0 + 27/2*y**2 + 1/4*y**4 - 3*y**3. Factor m(w).
3*(w - 3)**2
Let u(l) be the first derivative of -15/14*l**4 - 1/14*l**6 - 17/35*l**5 + 1/14*l**2 + 3/7*l - 6/7*l**3 + 255. Solve u(y) = 0 for y.
-3, -1, 1/3
Let b(i) be the third derivative of 11/60*i**5 + 3/2*i**3 + 2 + 0*i - 1/120*i**6 - 19/24*i**4 - 4*i**2. Factor b(y).
-(y - 9)*(y - 1)**2
Let d be (-2*((-35087)/(-182) + -7))/(24/(-64)). Factor 78608/7 + 204/7*m**2 + 2/7*m**3 + d*m.
2*(m + 34)**3/7
Let d(q) be the third derivative of -q**7/560 + 31*q**6/320 - 297*q**5/160 + 605*q**4/64 + 1331*q**3/8 - 3*q**2 - 689*q. What is w in d(w) = 0?
-2, 11
Let l be ((-180)/150)/((-2)/(-2075)). Let i = l + 13697/11. Factor i*y**2 - 2/11*y**4 - 1/11*y + 1/11*y**5 + 0*y**3 + 0.
y*(y - 1)**3*(y + 1)/11
Let v(u) = -u**3 - 8*u**2 - 11*u + 24. Let m be v(-4). Let l(n) be the first derivative of -4/3*n**3 + 4*n + 5 - 4*n**2 + 2*n**m. Determine k so that l(k) = 0.
-1, 1/2, 1
Let c(i) be the first derivative of 0*i**2 - 4/3*i**3 + 0*i - 64. Factor c(q).
-4*q**2
Let d(r) = -r**2 + 1. Let j be -3 - -1*(8 - 3). Let n(y) = -3*y**2 - y**4 + 15*y**2 - 7*y**2 + j*y - 4 - 4*y + 2*y**3. Let i(h) = -5*d(h) - n(h). Factor i(t).
(t - 1)**3*(t + 1)
Let m be -9 + -7 + (-3 - -15). Let a be 143/195 - m/(-12). Determine u so that -6/5*u**4 + a + 4/5*u**2 - 6/5*u + 2/5*u**5 + 4/5*u**3 = 0.
-1, 1
Let l(t) be the first derivative of -3/5*t**5 + 6*t**4 - 54 + 42*t**2 - 36*t - 23*t**3. Factor l(c).
-3*(c - 3)*(c - 2)**2*(c - 1)
Let a be (-2)/39 + 22640/390. Suppose -17*n - a = -58. Determine w so that 6/7*w**5 + 0*w + 2/7*w**3 - 20/7*w**4 + 12/7*w**2 + n = 0.
-2/3, 0, 1, 3
Let m be ((-2405)/(-259))/((-7)/(-35)*5) + -9. Let f = 4 - 2. Factor 0 + 1/7*j**3 - m*j - 1/7*j**f.
j*(j - 2)*(j + 1)/7
Let s = -33359 - -33359. Factor -7/2*f**3 + s*f - 4*f**4 + 8*f**5 - 1/2*f**2 + 0.
f**2*(f - 1)*(4*f + 1)**2/2
Let m(z) be the first derivative of 53 - 48*z + 32*z**2 - 28/3*z**3 + z**4. Factor m(d).
4*(d - 3)*(d - 2)**2
Let r = -72151/195 - -14828/39. Factor -49/5*b**2 - 1/5*b**3 + 101/5*b - r.
-(b - 1)**2*(b + 51)/5
Suppose 0*c + 3*v = 2*c + 43, -c = -3*v + 29. Let s = c + 18. What is j in 0 + 65*j**2 - 2*j**s + 30*j**3 + 20 + 44*j + 16*j + 7*j**4 = 0?
-2, -1
Factor 132 + 7*w - 1/3*w**2.
-(w - 33)*(w + 12)/3
Suppose -3*l = 10*l - 52. Solve -56*v**2 - 75*v + 2*v**l + 150*v + 6*v**3 - 75*v = 0.
-7, 0, 4
Let m(p) be the second derivative of p**8/1344 + p**7/72 + 5*p**6/48 + 3*p**5/8 + 9*p**4/2 + 52*p - 2. Let z(i) be the third derivative of m(i). Factor z(f).
5*(f + 1)*(f + 3)**2
Suppose -1/3*o**2 - 110/3*o - 3025/3 = 0. Calculate o.
-55
Suppose -5*k + 8*t + 24 = 9*t, 0 = -3*k - 5*t + 32. Find i, given that -13*i**2 - 14*i**3 + 15*i - 5*i**4 + 17*i**4 - 24 + k*i**2 + 21 - i**3 = 0.
-1, 1/4, 1
Let d(x) = -4*x**2 - 952*x + 1004. Let g(b) = -b**2 - 317*b + 333. Let u(c) = 5*d(c) - 16*g(c). Determine z so that u(z) = 0.
1, 77
Let q(c) = -378*c + 3. Let v be q(-1). What is r in v + 645 - 610 - 11592*r**4 + 2256*r - 488*r**2 + 980*r**5 - 14900*r**3 = 0?
-1, -2/7, 2/5, 13
Suppose 15/2 - 39/8*x**4 - 12*x + 93/8*x**3 + 3/8*x**5 - 21/8*x**2 = 0. What is x?
-1, 1, 2, 10
Let p(o) = 2*o**5 + 57*o**4 - 663*o**3 + 2423*o**2 - 12*o + 3. Let n(k) = -k**5 - k**4 - 3*k**3 + 3*k**2 + 4*k - 1. Let d(w) = 15*n(w) + 5*p(w). Factor d(a).
-5*a**2*(a - 38)*(a - 8)**2
Let o = -717 + -761. Let d = o + 13310/9. Solve 8/9*v - 2/9*v**4 + 8/9 - 2/3*v**2 - d*v**3 = 0.
-2, -1, 1
Let y = 1819 - 1816. Suppose -8 = -2*h + 2. Factor -6*k**h - 2*k**3 - 5*k**3 + 10*k**y - 3*k**4.
-3*k**3*(k + 1)*(2*k - 1)
Let p(t) be the third derivative of 0*t + 1/112*t**8 - 11/8*t**4 + 1/70*t**7 - 3/20*t**6 + 75*t**2 - 7/10*t**5 + 0 - 3/2*t**3. Solve p(l) = 0 for l.
-1, 3
Let t(w) = -4*w**3 + 157*w**2 + 1967*w - 14415. Let o(h) = 3*h**3 - 159*h**2 - 1965*h + 14415. Let v(c) = -7*o(c) - 6*t(c). Factor v(i).
3*(i - 5)*(i + 31)**2
Let w(m) be the first derivative of -2*m**3/15 - 34*m**2/5 - 506*m/5 + 76. Solve w(f) = 0.
-23, -11
Let c be 7/(-2527)*-19 - (-994)/1330. Solve -1/5 - 6/5*v**2 - 1/5*v**4 - c*v**3 - 4/5*v = 0.
-1
Let c(m) = m - 42. Let i(j) = j - 28. Let g(u) = -5*c(u) + 8*i(u). Let w be g(5). Factor -w - 3*z**2 - 3*z + 10 + 9.
-3*(z - 2)*(z + 3)
Let l(o) be the first derivative of o**3/30 + 7*o**2/10 - 147*o/10 + 935. Suppose l(v) = 0. Calculate v.
-21, 7
Solve 2/5*b**3 + 276224*b - 3326/5*b**2 + 1384448/5 = 0 for b.
-1, 832
Let c = -157191 + 1729103/11. Factor 24/11*p**2 - 26/11*p + c*p**3 + 0.
2*p*(p - 1)*(p + 13)/11
Factor 3*l**2 - 90*l - 156 + 675*l - 657*l.
3*(l - 26)*(l + 2)
Suppose -3 + 806878*n**2 + 3 - 806877*n**2 - 228*n = 0. What is n?
0, 228
Let h(v) be the first derivative of v**5/25 + 11*v**4/20 + 13*v**3/5 + 49*v**2/10 + 4*v - 1403. Factor h(u).
(u + 1)**2*(u + 4)*(u + 5)/5
Let k(f) be the first derivative of 87 - 12/7*f**2 + 48/7*f + 1/7*f**3. Factor k(h).
3*(h - 4)**2/7
Let q = -541696 + 541698. Factor -4*u - 32/7*u**q - 4/7*u**3 + 0.
-4*u*(u + 1)*(u + 7)/7
Let k be (-1 - (-38)/20)/((360/48)/(53 - 3)). Let -11/3*b - k - 1/3*b**2 = 0. What is b?
-9, -2
Let d(l) = 46*l**4 + 240*l**3 - 674*l**2 - 3528*l + 9538. Let c(m) = 8*m**4 + 40*m**3 - 112*m**2 - 588*m + 1590. Let z(f) = 34*c(f) - 6*d(f). Factor z(u).
-4*(u - 3)**2*(u + 4)*(u + 22)
Let k(i) = i**5 + 17*i**4 - 17*i**3 - 135*i**2 + 2*i + 310. Let p(g) = -g**5 + g**4 - g**3 + g - 7. Let t(d) = k(d) - 2*p(d). What is y in t(y) = 0?
-3, 2
Let g(u) = 16*u**2 + 1810*u + 229. Let v be g(-113). Factor w**v + 1/9*w**4 - w - 1/9*w**2 + 0.
w*(w - 1)*(w + 1)*(w + 9)/9
Let r = -85380 + 1025767/12. Let s = 304/3 - r. Factor s*d**3 - 3/4*d 