ivative of r(w). Factor u(c).
2*(c + 1)*(c + 3)/5
Let l be (72/(-27))/4*-1*3. Factor -128*u - u**3 - 302*u**l - 4*u**3 + 346*u**2 + 112 + u**3.
-4*(u - 7)*(u - 2)**2
Let v = 6750/11 - 33684/55. Let n(x) be the first derivative of -2/15*x**3 + 0*x + v*x**2 + 14. Suppose n(s) = 0. What is s?
0, 6
Let b(f) be the third derivative of -f**7/840 - f**6/16 - 233*f**5/240 - 35*f**4/8 + 57*f**3/2 - 33*f**2 - 13*f + 2. Determine z, given that b(z) = 0.
-19, -6, 1
Find y such that 5*y**5 - 75989 + 29880*y**2 - 621*y**4 - 86468*y + 232*y**4 - 710*y**3 + 284*y**4 + 369749 - 116572*y = 0.
-17, 2, 12
Suppose 0 = -31*c + 34*c. Suppose -5*l = -s + 27 - 9, c = 2*l + 6. Factor 3/5*p - 1/5*p**s - 2/5 + 0*p**2.
-(p - 1)**2*(p + 2)/5
Let j(q) = -q**5 - q**4 - q**3 + 2*q**2 - 2*q. Let o(b) = 3*b**5 + 32*b**4 - 44*b**3 - 85*b**2 + 109*b - 30. Let x(c) = -5*j(c) + o(c). Let x(w) = 0. What is w?
-5, -2, 3/8, 1
Let j(a) be the second derivative of 1/30*a**6 + 11/4*a**4 - 55*a + 8*a**2 - 1/2*a**5 - 20/3*a**3 + 2. Determine x so that j(x) = 0.
1, 4
Let w = 201759/52 - 7753/2. Let h = -42/13 + w. Factor 0 + 0*x**3 + 0*x - 3/4*x**4 + x**2 - h*x**5.
-x**2*(x - 1)*(x + 2)**2/4
Suppose 0 = -5*z - m + 26, 806*m - 12 = 809*m. Let u(v) be the second derivative of 1/15*v**z + 0*v**3 + 0 + 3*v - 3/10*v**5 + 1/3*v**4 + 0*v**2. Factor u(f).
2*f**2*(f - 2)*(f - 1)
Let l(s) be the first derivative of 1/45*s**5 + 1/540*s**6 + 20 + 1/12*s**4 + 0*s**2 + 9*s**3 + 0*s. Let x(y) be the third derivative of l(y). Factor x(g).
2*(g + 1)*(g + 3)/3
Let p(j) = 3*j**3 - 298*j**2 + 3437*j - 13557. Let r(d) = -4*d**3 + 448*d**2 - 5156*d + 20336. Let z(l) = 8*p(l) + 5*r(l). Factor z(k).
4*(k - 14)*(k - 11)**2
Let 320766/5*p**2 - 1953/5*p**3 - 948672/5*p + 629856/5 + 3/5*p**4 = 0. Calculate p.
1, 2, 324
Factor 22*c**3 + 513*c**2 + 192 - 2*c**3 - 12*c**3 - 13*c**3 - 10*c**3 - 1062*c.
-3*(c - 32)*(c - 2)*(5*c - 1)
Let s(g) be the first derivative of g**4/24 - 17*g**3/6 + 289*g**2/4 + 21*g - 45. Let w(a) be the first derivative of s(a). Find d, given that w(d) = 0.
17
Let h(r) be the first derivative of 2/7*r**3 - 20*r - 3/140*r**5 + 2 - 4/7*r**2 - 1/42*r**4 + 1/210*r**6. Let t(m) be the first derivative of h(m). Factor t(v).
(v - 2)**2*(v - 1)*(v + 2)/7
Factor 96 + 722/3*f**2 - 304*f.
2*(19*f - 12)**2/3
Let b(n) be the second derivative of n**6/180 - 11*n**5/15 + 403*n**4/12 - 6760*n**3/9 + 107653*n**2/12 - 2*n - 928. Factor b(y).
(y - 49)*(y - 13)**3/6
Suppose -2*i + 1243 = 9*i. Let o = 115 - i. Factor 0*x**o + 3/5*x - 2/5 - 1/5*x**3.
-(x - 1)**2*(x + 2)/5
Suppose 0 = 2*b + 5*t - 30, 0 = -24*b + 22*b + 5*t - 10. Factor 1/6*v**b - 1/3*v**2 - 1/6 + 1/2*v**4 + 1/3*v**3 - 1/2*v.
(v - 1)*(v + 1)**4/6
Let p(q) be the first derivative of -29*q + 1/5*q**5 - 84 - 28*q**3 - 43*q**2 - 13/2*q**4. Factor p(w).
(w - 29)*(w + 1)**3
Let t be (-14666)/(-15)*-1 + (-330)/(-825). Let q = 1044 + t. Suppose q*z**2 + 500/3*z - 80*z**3 + 56/3*z**4 - 4/3*z**5 + 0 = 0. What is z?
-1, 0, 5
Let q(d) be the first derivative of -d**3/9 - 7*d**2/2 + 352*d/3 + 778. Factor q(r).
-(r - 11)*(r + 32)/3
Suppose -828*v**2 - 242*v**3 + 2*v**3 - 38*v**4 + 51*v**4 + v**5 - 24*v**4 = 0. Calculate v.
-6, 0, 23
Factor 12313*t + 14370*t - 271*t**2 + 19*t**2 + 4*t**3 - 21403*t - 36784.
4*(t - 22)**2*(t - 19)
Let o(p) be the third derivative of 1/210*p**7 - 1/600*p**6 - 2*p**2 + 0*p**4 + 45 + 0*p + 1/1680*p**8 + 0*p**3 - 1/60*p**5. Factor o(v).
v**2*(v - 1)*(v + 1)*(v + 5)/5
Let t(l) be the first derivative of -l**6/24 - 17*l**5/20 - 21*l**4/8 + 65*l**3/3 - 25*l**2 - 64. Solve t(b) = 0 for b.
-10, 0, 1, 2
Let i(n) = 3*n**3 + 13*n**2 - 2*n + 2. Let y(t) = -5*t**3 - 25*t**2 + 5*t - 5. Let a be 5/(-15) - (-42)/(-9). Let l(o) = a*i(o) - 2*y(o). Factor l(z).
-5*z**2*(z + 3)
Let s(n) be the first derivative of n**4/18 + 338*n**3/27 + 166*n**2/3 + 3881. Suppose s(y) = 0. Calculate y.
-166, -3, 0
Let d(q) be the second derivative of q**4/48 - 37*q**3/24 + 29*q**2 + 4*q - 5. Factor d(y).
(y - 29)*(y - 8)/4
Let x be -5*2/(-140)*4*8512/684. Factor -x*r - 128/9 - 2/9*r**2.
-2*(r + 8)**2/9
Let x(j) be the second derivative of -j**5/40 + 5*j**4 - 79*j**3/4 + 59*j**2/2 - 402*j. Find p, given that x(p) = 0.
1, 118
Let r(p) = -4*p**3 + 350*p**2 + 1524*p - 1885. Let d(y) = -2*y**3 + 176*y**2 + 762*y - 942. Let s(t) = -10*d(t) + 4*r(t). Factor s(l).
4*(l - 94)*(l - 1)*(l + 5)
Let u(g) be the third derivative of g**5/540 - 301*g**4/72 + 451*g**3/27 + 10*g**2 + 156*g. Determine y, given that u(y) = 0.
1, 902
Let o(v) be the third derivative of v**5/150 + 11*v**4/60 - 12*v**3 + 3*v**2 - 313. Factor o(l).
2*(l - 9)*(l + 20)/5
Let m(y) be the second derivative of -2/25*y**5 + 29/30*y**3 - 1/2*y**2 - 31 - 2*y - 17/30*y**4. Solve m(g) = 0 for g.
-5, 1/4, 1/2
Find f such that 3/5*f**2 + 15*f - 348/5 = 0.
-29, 4
Let t(v) = 15*v**3 + 17925*v**2 - 53425*v + 35745. Let q(l) = -l**3 - 1120*l**2 + 3339*l - 2234. Let k(f) = 65*q(f) + 4*t(f). Factor k(u).
-5*(u - 2)*(u - 1)*(u + 223)
Factor 18/5*o**2 + 0 + 6/5*o**3 + 0*o.
6*o**2*(o + 3)/5
Let t(w) be the second derivative of w**10/166320 - w**9/9240 + w**8/2464 - w**7/1980 + 8*w**4/3 + 81*w. Let n(q) be the third derivative of t(q). Factor n(l).
2*l**2*(l - 7)*(l - 1)**2/11
Suppose -272 - 1408 = -676*m + 348. What is l in l**5 - 22/5*l**2 - 8/5*l + 3/5*l**m + 0 + 22/5*l**4 = 0?
-4, -1, -2/5, 0, 1
Let s be ((-60)/216)/((-1)/6). Let i(q) be the second derivative of 1/6*q**4 + 20*q + 0 - s*q**3 + 6*q**2. Factor i(x).
2*(x - 3)*(x - 2)
Suppose -51*k + 48*k - 2*h = -8, 2 = -2*k - 5*h. Let c(j) be the second derivative of -28*j + 5/4*j**2 + 0 + 5/24*j**k + 5/6*j**3. Solve c(g) = 0.
-1
Let 0 - 93702/5*g**3 - 1/2*g**5 + 0*g - 37636/5*g**2 + 969/5*g**4 = 0. Calculate g.
-2/5, 0, 194
Let o(l) be the first derivative of 1/2*l**6 + 19 + l**3 + 3*l**2 + 0*l - 9/4*l**4 - 3/5*l**5. Find y, given that o(y) = 0.
-1, 0, 1, 2
Let s(l) be the first derivative of 3*l**7/2800 - 7*l**6/3600 - l**5/600 + 10*l**3 - l**2/2 + 69. Let t(y) be the third derivative of s(y). Factor t(h).
h*(h - 1)*(9*h + 2)/10
Let w = 490 + -435. Let q be ((-50)/w)/(-3 + 42/22). Solve 0 - q*p**2 - 1/6*p = 0.
-1/5, 0
Let l(q) be the second derivative of -2*q**6/105 - 7*q**5/5 - 155*q**4/7 + 2214*q**3/7 - 8748*q**2/7 + 1560*q. Suppose l(k) = 0. What is k?
-27, 2, 3
Let i(j) = 3*j - 22. Suppose -4*h - 4*b = -20, 0 = h - 4*b - 21 - 4. Let o be i(h). Determine t, given that -10*t - 14 + 2 + o*t**2 - 5*t - 8 = 0.
-1, 4
Let s(m) be the first derivative of 5*m**6/6 - 13*m**5 + 135*m**4/2 - 340*m**3/3 - 100*m**2 + 480*m - 1391. Find y such that s(y) = 0.
-1, 2, 4, 6
Suppose 8 = 21*w - 17*w. Let 4*m**2 - 4532*m + 4401*m + 3*m**w - 38 = 0. What is m?
-2/7, 19
Let p(r) be the first derivative of 100 + 4/5*r**5 + r**3 - 3*r + 5/2*r**2 - 9/4*r**4. Factor p(x).
(x - 1)**3*(4*x + 3)
Solve 164/9*s**4 + 938/9*s + 844/9*s**3 + 196/9 + 1432/9*s**2 + 10/9*s**5 = 0 for s.
-7, -1, -2/5
Let v(h) be the second derivative of h + 24 + 1/108*h**4 - 5/9*h**2 - 1/18*h**3. Factor v(t).
(t - 5)*(t + 2)/9
Suppose 315 = 23*x + 12*x. Suppose -5*d = 4*w - 37, 4*w - 6*d = -x*d + 27. Solve -w*v + 3/5*v**2 + 18/5 = 0.
2, 3
Let n(b) = -4*b**4 - 16*b**3 - 23*b**2 - 23*b. Let k(f) = 4*f**4 + 16*f**3 + 24*f**2 + 28*f. Let o(g) = 3*k(g) + 4*n(g). Suppose o(q) = 0. Calculate q.
-2, -1, 0
Let k be -1 + (-18)/(-17) + -3 + (-1872)/(-544). Let 3/2*t + 2*t**2 - k = 0. Calculate t.
-1, 1/4
Let y(v) be the second derivative of -v**5/30 - 35*v**4/3 - 3379*v**3/3 + 95048*v**2/3 + 3222*v. Find f such that y(f) = 0.
-109, 8
Let a(h) = 34*h + 36. Let k be a(-1). Suppose 3*b = -n + 17, -b = -5*b - 2*n + 22. Factor b*p**3 + 7*p**2 + 3*p**4 - 3*p**k - 13*p**2.
3*p**2*(p - 1)*(p + 3)
Suppose 5*m = 2*t - 5, -3*t - 5*m = -2*m + 3. Let o be t/(-26) - (-15)/12. Find a, given that -25/4*a**3 + 5/2*a**2 - o*a**5 + 0*a + 0 + 5*a**4 = 0.
0, 1, 2
Let d be -9 - ((-110)/(-10) + -9). Let u be 242/30 - (336/21 + d). What is t in 0 - u*t**3 + 2/5*t - 8/15*t**5 - 38/15*t**4 - 2/3*t**2 = 0?
-3, -1, 0, 1/4
Solve -1/4*z**4 + 141/2 + 363/4*z**2 - 39/4*z**3 - 605/4*z = 0 for z.
-47, 1, 6
Factor -55/2 - 1/2*k**2 + 28*k.
-(k - 55)*(k - 1)/2
Let s(q) be the third derivative of 0*q**3 + 0*q + 71*q**2 - 5/3*q**4 + 1/42*q**7 + 0 - 1/4*q**6 + q**5. Factor s(j).
