11*s**3 + 92*s**2 + 618*s. Let w(d) = -2*k(d) - 5*q(d). Determine v so that w(v) = 0.
-6, 0, 18
Factor -26*w**2 - 12*w**2 + 4*w**5 + 448 + 49848*w**4 + 304*w**3 - 256*w - 282*w**2 - 49924*w**4.
4*(w - 14)*(w - 2)**3*(w + 1)
Let p = 256 + -247. Suppose -p*c + w + 11 = -6*c, c = 5*w + 27. Determine x, given that -8/15*x - 2/15*x**c + 2/3 = 0.
-5, 1
Let r(s) be the second derivative of -s**6/4 + 29*s**5/20 + 7*s**4/2 + s**3/2 - 5*s**2/4 - 160*s - 3. Let r(z) = 0. Calculate z.
-1, -1/3, 1/5, 5
Let m(l) be the third derivative of l**8/252 - 2*l**7/315 - l**6/9 + 2*l**5/9 + l**4/2 - 2*l**3 - 400*l**2. Suppose m(y) = 0. What is y?
-3, -1, 1, 3
Let k(t) = 48*t**3 + 225*t**2 - 2916*t - 36288. Let u(v) = -7*v**3 - 32*v**2 + 416*v + 5184. Let n(a) = 4*k(a) + 27*u(a). Factor n(r).
3*(r - 12)*(r + 12)**2
Let b(x) be the third derivative of -x**5/15 + 101*x**4/6 + 412*x**3/3 - 5*x**2 - 8*x + 22. Factor b(h).
-4*(h - 103)*(h + 2)
Factor 1/3*u**2 + 16*u + 287/3.
(u + 7)*(u + 41)/3
What is y in 303*y**2 - 627*y**2 + 663 - 2*y**3 + 418*y - 285 + 362*y**2 = 0?
-7, -1, 27
Let k = -800 - -1293. Determine h, given that 3*h**2 + 283*h + 2204 + 1471 - k*h = 0.
35
Let r(z) = -19*z - 530. Let i be r(-28). Let y be 17*6/36 + i/12. Find h, given that 5/6*h + 1/6*h**y + 2/3*h**2 + 1/3 = 0.
-2, -1
Let l(c) be the second derivative of -5*c**7/14 - 11*c**6/3 - 63*c**5/4 - 110*c**4/3 - 50*c**3 - 40*c**2 + 190*c + 15. Find j such that l(j) = 0.
-2, -4/3, -1
Let l be 8/(2 - 3)*(-7)/14. Suppose l*y + 3*y = 14. Find g, given that -26*g**2 + 26*g**2 - y*g**4 - 2*g**4 + 4*g**5 = 0.
0, 1
Determine i, given that -1/6*i**5 + 11/6*i**4 - 22/3*i**2 - i**3 + 0 + 20/3*i = 0.
-2, 0, 1, 2, 10
Let w**2 - 47307489*w + 47305827*w - 3*w**2 = 0. What is w?
-831, 0
Let d(b) be the second derivative of 3*b**5/100 + 9*b**4/20 - 4*b**3 - 72*b**2/5 - 204*b - 1. Let d(g) = 0. Calculate g.
-12, -1, 4
Let d(b) = -2*b**3 + 22*b**2 - 18*b - 16. Let n be d(10). Factor 52*y**3 + 54*y**3 + 3*y**n - 24*y**2 + 21 - 124*y**3 + 18*y.
3*(y - 7)*(y - 1)*(y + 1)**2
Let i(p) be the first derivative of 10*p**3 - 200*p**2 + 95*p + 119. Let h(f) = -29*f**2 + 401*f - 92. Let g(v) = 5*h(v) + 4*i(v). Factor g(j).
-5*(j - 16)*(5*j - 1)
Let l(n) = 2*n**2 + 24*n + 98. Let k(a) = -53 + 102 - 5*a - 55. Let m(s) = -11*s - 13. Let u(o) = -13*k(o) + 6*m(o). Let x(w) = -l(w) + 4*u(w). Factor x(r).
-2*(r + 7)**2
Let v be 1736/310*(67/(-2) + 1). Let s be (9/(-10))/(v/455). Factor 15/8 + s*b + 3/8*b**2.
3*(b + 1)*(b + 5)/8
Let x(f) be the first derivative of f**5/4 - 345*f**4/16 + 630*f**3 - 5400*f**2 - 51840*f + 538. Suppose x(v) = 0. Calculate v.
-3, 24
Let s(d) be the second derivative of 40*d + 0*d**2 + 0 - 3/7*d**3 + 1/6*d**4. Factor s(i).
2*i*(7*i - 9)/7
Determine v so that 312*v**4 - 229*v**2 - 939*v**4 + 105*v**3 - 18 + 298*v**4 + 320*v**4 + 119*v = 0.
1/3, 2, 9
Let p = 209468 + -209465. Factor -26/7*x**4 + 116/7*x - 32/7 + 14*x**p + 2/7*x**5 - 158/7*x**2.
2*(x - 8)*(x - 2)*(x - 1)**3/7
Let j(a) be the first derivative of a**5/5 + 11*a**4/4 + 533. Factor j(i).
i**3*(i + 11)
Let 2/3*v + 0 - 4*v**3 + 10/3*v**2 = 0. Calculate v.
-1/6, 0, 1
Let a(n) be the third derivative of n**6/360 + n**5/45 + n**4/72 - n**3/3 - 2*n**2 - 345. Suppose a(m) = 0. Calculate m.
-3, -2, 1
Let p be 1/(-2)*(-53 + 3). Factor 97*b + 58*b**3 - p*b**2 + 45 + 8*b - 52*b**3 - 131*b**3.
-5*(b - 1)*(5*b + 3)**2
Let f(o) be the second derivative of -o**4/42 + 4*o**3/7 + 108*o**2/7 + 82*o. Factor f(k).
-2*(k - 18)*(k + 6)/7
Factor 8450 + 543*p - 111*p**2 - 88*p - 5*p**3 + 0*p**3 - 34*p**2 + 65*p**2.
-5*(p - 10)*(p + 13)**2
Suppose 8 = 23*w + 8. Suppose w = -2*z + 16*z - 28. Factor 3 + 2*v**z - 25/2*v.
(v - 6)*(4*v - 1)/2
Let u(v) be the first derivative of -v**6/80 - 9*v**5/20 + v**2 + 71*v + 79. Let q(p) be the second derivative of u(p). Factor q(d).
-3*d**2*(d + 18)/2
Suppose 2*r = 7*r + 3*h, 0 = 5*r + 4*h. Let o be (-42)/(-224)*(28 - -8)/9. Factor r - 3/4*k + o*k**2 - 3/4*k**4 + 3/4*k**3.
-3*k*(k - 1)**2*(k + 1)/4
Let 1/4*w**2 - 8 - 31/4*w = 0. What is w?
-1, 32
Let c = -52 + 62. Suppose -5*l + c = -0. Solve 15*j**2 + 20*j**l - j**4 + j - j**3 - 34*j**2 = 0.
-1, 0, 1
Let x = 4426 + -26555/6. Let i(q) be the second derivative of 0 + 0*q**2 + 3/20*q**5 - 8*q - 1/42*q**7 - x*q**4 + 0*q**3 + 0*q**6. Factor i(o).
-o**2*(o - 1)**2*(o + 2)
Let f(p) be the first derivative of 10/13*p + 241 - 4/13*p**2 - 2/39*p**3. Factor f(m).
-2*(m - 1)*(m + 5)/13
Let g = -436/311 - -315293/622. Suppose -3 + 441/2*q**4 + g*q**3 + 693/2*q**2 + 117/2*q = 0. What is q?
-1, -1/3, 2/49
Let l(t) be the third derivative of -1/30*t**5 + 11/24*t**4 + 0*t + 0 + 1/30*t**7 - 5/6*t**3 - 1/336*t**8 - 1/12*t**6 - 88*t**2. Let l(i) = 0. Calculate i.
-1, 1, 5
Let i = 390769/6 + -65128. Factor i*b**2 + 1 - 7/6*b.
(b - 6)*(b - 1)/6
Let m be (-322)/23 - ((-260)/16 - -1). Factor -m + c**3 - c + 3/2*c**2 - 1/4*c**4.
-(c - 5)*(c - 1)*(c + 1)**2/4
Let d be (-2)/(153/1224 + 33/(-8)). Suppose 0 = -3*s - 0*s. Factor -d*o - 1/2*o**2 + o**3 + s.
o*(o - 1)*(2*o + 1)/2
Let d(p) = -1808*p**2 + 2144*p - 602. Let s(x) = 23505*x**2 - 27890*x + 7825. Let r(z) = 40*d(z) + 3*s(z). Factor r(y).
-5*(19*y - 11)**2
Suppose 73*w - 239 = 53. Let y(q) be the second derivative of 2/3*q**2 + 0 + 0*q**3 + 2/45*q**6 + 0*q**5 - 49*q - 2/9*q**w. Factor y(v).
4*(v - 1)**2*(v + 1)**2/3
Suppose 338/9*r**2 + 1612/3*r + 1922 = 0. Calculate r.
-93/13
Let d(q) be the first derivative of q**7/2940 - q**6/105 - q**5/7 - 16*q**4/21 - 5*q**3/3 + 2*q**2 + 41. Let x(k) be the third derivative of d(k). Factor x(p).
2*(p - 16)*(p + 2)**2/7
Let y = -105707 + 951751/9. Solve 4/9*s**4 - 64*s + y*s**2 + 256/9 - 8*s**3 = 0.
1, 8
Let k be 11/1 - ((-4)/(-2) - -3). Let z(m) = -m**2 - 8*m. Let b(f) = 2*f**2 + 16*f. Let n(q) = k*b(q) + 15*z(q). Solve n(y) = 0 for y.
-8, 0
Let m be 252/52 + ((-2)/(-13) - 0). Suppose 0 = -2*s - 5*l + 20, -5*s + m*l - 16 = l. Let 0 - 12*p + 7*p**2 - 4*p**2 + s = 0. What is p?
0, 4
Let c(x) be the third derivative of -3*x**6/40 + 37*x**5/20 + 123*x**4/8 - 45*x**3/2 + 16*x**2 + 4*x. Factor c(a).
-3*(a - 15)*(a + 3)*(3*a - 1)
Let w(x) be the first derivative of -3/4*x**4 + 7/9*x**3 - 239 + 3/2*x**2 + 1/15*x**5 - 8/3*x. Factor w(z).
(z - 8)*(z - 1)**2*(z + 1)/3
Factor 24 + 1/4*l**3 - l - 9/4*l**2.
(l - 8)*(l - 4)*(l + 3)/4
Let q(p) be the third derivative of -1/112*p**8 + 0*p**4 - 7/40*p**6 - 3/20*p**5 + 2*p**2 - 1/14*p**7 + 72*p + 0 + 0*p**3. Factor q(k).
-3*k**2*(k + 1)**2*(k + 3)
Let t be ((-24)/9 - -3) + 351/(-1080). Let w(x) be the third derivative of -t*x**5 + 1/120*x**6 + 0 + 0*x**3 + 0*x + 0*x**4 + 15*x**2 - 1/420*x**7. Factor w(z).
-z**2*(z - 1)**2/2
Let u = -210433/7 - -30117. Let q = u - 55. Factor 2/7*a + 0*a**3 - q*a**4 + 3/7*a**2 + 0.
-a*(a - 2)*(a + 1)**2/7
Let d(l) be the second derivative of 3*l**5/100 + 937*l**4/20 + 219023*l**3/10 - 659883*l**2/10 - 2*l + 1791. Factor d(a).
3*(a - 1)*(a + 469)**2/5
Let v(z) be the second derivative of -1/14*z**4 - 31*z - 17/21*z**3 + 0 + 6/7*z**2. Let v(l) = 0. What is l?
-6, 1/3
Let x(w) be the first derivative of 4*w**5/5 + 58*w**4 + 224*w**3 + 332*w**2 + 220*w + 1081. Let x(u) = 0. What is u?
-55, -1
Let x(n) be the third derivative of -2*n**7/735 - n**6/30 - 73*n**5/420 - n**4/2 - 6*n**3/7 + 2836*n**2. Factor x(d).
-(d + 2)**2*(2*d + 3)**2/7
Let p be 17/((-153)/72) + 2. Let x be 0 + p/(-2) + 37 + -36. Find f, given that -2/3*f**4 - x*f**3 - 16/3*f**2 + 6 + 4*f = 0.
-3, -1, 1
Let j(f) be the second derivative of 16*f + 0 + 3/8*f**4 - 9/2*f**2 - 1/40*f**6 + 1/10*f**5 + 0*f**3. Let l(g) be the first derivative of j(g). Factor l(k).
-3*k*(k - 3)*(k + 1)
Find s such that -48*s**4 - 160 + 4540/3*s**3 - 6472/3*s**2 - 3824/3*s = 0.
-1/4, -2/9, 2, 30
Suppose 0 = 2*o - 4*t - 86, 0 = -4*o + 2*t + 198 - 8. Let u be ((-6)/o)/((-12)/56). Factor -u*m + 6/7*m**3 - 2/7*m**2 + 0.
2*m*(m - 1)*(3*m + 2)/7
Let n(k) = -17*k**4 - 96*k**3 - 523*k**2 - 388*k - 8. Let a(m) = 57*m**4 + 318*m**3 + 1743*m**2 + 1293*m + 27. Let u(o) = 8*a(o) + 27*n(o). Factor u(p).
-3*p*(p + 1)*(p + 4)*(p + 11)
Let v(l) = -94*l + 416. Let q be v(-17). Let x = 2016 - q. Find c such that 2*c**x + 36/5 + 94/5*c = 0.
-9, -2/5
Let y(w) be the third derivative of w**7/420 + 109*w**6/80 + 26893*w**5/120 + 8639*w**4/16 - 2