y(l) be the first derivative of 38/45*l**3 + 0*l - 65 - 3/5*l**2 - 11/30*l**4 + 2/75*l**5. What is k in y(k) = 0?
0, 1, 9
Let f(l) be the first derivative of -l**6/6 - 16*l**5/5 - 24*l**4 - 256*l**3/3 - 128*l**2 + 1073. Factor f(y).
-y*(y + 4)**4
Factor -109*p + 5*p**2 - 8*p**2 + 54*p - 44*p.
-3*p*(p + 33)
Suppose -l - 5*l = -18. Find v, given that -v**3 + 43*v**5 + 43*v**5 - 85*v**5 + v**4 + v**2 - 5*v**4 + l*v**4 = 0.
-1, 0, 1
Let g(x) be the first derivative of x**4/4 - 3*x**3 - 1080. Suppose g(h) = 0. Calculate h.
0, 9
Let j(c) be the second derivative of c**7/63 - c**6/45 - 5*c**5/6 - 35*c**4/18 + 8*c**3/3 + 12*c**2 + 4050*c + 2. Let j(d) = 0. What is d?
-3, -2, -1, 1, 6
Let h(v) = v**2 - 2. Let r(g) = -2*g**3 - 15*g**2 + 8*g + 38. Let i = -79 + 57. Let u(b) = i*h(b) - 2*r(b). Factor u(o).
4*(o - 2)*(o + 2)**2
Let b(r) = -r**3 - 2*r**2 + 2*r - 3. Let q be b(0). Let c be 2*(-7)/(-133) + q + 3. Factor 16/19*l**4 - c*l + 0*l**2 + 0 + 12/19*l**3 + 6/19*l**5.
2*l*(l + 1)**3*(3*l - 1)/19
Factor 0*j - 1/2*j**5 + 0*j**2 + 0 + 225*j**3 - 223/2*j**4.
-j**3*(j - 2)*(j + 225)/2
Let t(u) be the first derivative of 2*u**3/3 + 8*u**2 - 18*u + 1029. Factor t(b).
2*(b - 1)*(b + 9)
What is b in -25*b - 528 - 9*b - 25192*b**2 + 50381*b**2 - 58*b - 25193*b**2 = 0?
-12, -11
Suppose 0*y - 15 = -y - 4*o, -5*o = -5*y. Let i be (y - 1) + 10 + -8. Factor 6*q**2 + 3*q**3 - 7*q**2 + q**5 - 7*q**4 + i*q**4 + 0*q**3.
q**2*(q - 1)**3
Let a(t) be the first derivative of 2*t**5/11 - 27*t**4/22 + 100*t**3/33 - 36*t**2/11 + 16*t/11 + 455. Determine i, given that a(i) = 0.
2/5, 1, 2
Let g(h) be the second derivative of -h**4/3 + 20*h**3/3 - 48*h**2 + 335*h. Factor g(m).
-4*(m - 6)*(m - 4)
Let i(z) = z**2 + 6. Let b be i(-2). Suppose b = 6*s - s. Determine l, given that -16*l**2 - 8*l**2 + 2*l + 4*l**s - 7*l = 0.
-1/4, 0
Let d be (9/(-27))/((-1)/(126/3)). Suppose -24 = -q - d. Factor -z + z - q*z + 2*z**2 + 8.
2*(z - 4)*(z - 1)
Determine l so that 2*l**2 - 34*l - 57*l - 27*l + 14*l + 96 + 6*l = 0.
1, 48
Factor -696/7 + 356/7*r - 4/7*r**2.
-4*(r - 87)*(r - 2)/7
Let w(p) = 2*p**4 + 11*p**3 - 27*p**2 + 35*p - 19. Let n(r) = -1 + r**4 + 0*r + r**3 - r**2 + r - 2*r**4 + 2*r**4. Let o(j) = 6*n(j) - 2*w(j). Factor o(i).
2*(i - 2)**4
Let h(g) = -100*g**3 - 65*g**2 + 165*g. Let i = 45 + -39. Let p(y) = -9*y**3 - i*y**2 + 0*y**2 + 15*y + 0*y**3. Let z(l) = 4*h(l) - 45*p(l). Factor z(j).
5*j*(j - 1)*(j + 3)
Let p(n) be the third derivative of 800/3*n**3 + 0*n - 11 - 140/3*n**4 + 34/15*n**6 + 10*n**2 - 56/15*n**5 - 22/105*n**7 + 1/168*n**8. Let p(f) = 0. What is f?
-2, 2, 10
Factor -1864*b - 2 + 509*b - 35639*b**2 + 34289*b**2 - 3.
-5*(b + 1)*(270*b + 1)
Suppose -220*a = 13*a + 52*a - 1425. Let q(b) be the third derivative of 19*b**2 + 0*b + 5/3*b**3 - 3/8*b**4 - 1/60*b**a + 0. Factor q(k).
-(k - 1)*(k + 10)
Let r(b) be the first derivative of 75 - 32/3*b**3 - 48*b - b**4 - 38*b**2. Factor r(g).
-4*(g + 1)*(g + 3)*(g + 4)
Let b be (-2 - (23 - 23))/(-14)*0. Factor 0*g + b + 1/3*g**2 + 1/3*g**4 - 2/3*g**3.
g**2*(g - 1)**2/3
Let 5/3*z**5 + 838/3*z**2 - 172*z + 104/3 + 36*z**4 - 539/3*z**3 = 0. Calculate z.
-26, 2/5, 1, 2
Let c(d) be the first derivative of -d**6/6 - 51*d**5/5 + 105*d**4/4 - 53*d**3/3 + 314. Factor c(f).
-f**2*(f - 1)**2*(f + 53)
Let c be 2/(12/132390*25). Let f = c + -877. Determine p, given that -2/5*p**2 + f*p - 98/5 = 0.
7
Let c be ((-1058)/161)/(-46)*1. Suppose c*u**3 - 4/7 - 1/7*u**5 - 3/7*u**4 + u**2 + 0*u = 0. Calculate u.
-2, -1, 1
What is y in 1935*y + 3/4*y**2 + 1248075 = 0?
-1290
Let f(u) be the second derivative of u**5/50 + 82*u**4/5 - 1981*u**3/15 + 1488*u**2/5 - 5494*u - 1. Suppose f(k) = 0. Calculate k.
-496, 1, 3
Let c(r) be the third derivative of r**6/30 - 53*r**5/15 + 332*r**4/3 - 408*r**3 + 329*r**2 - 5*r. Solve c(m) = 0.
1, 18, 34
Let j(c) be the first derivative of 2*c**6/15 - 272*c**5/5 + 7520*c**4 - 994816*c**3/3 - 4736512*c**2 - 99897344*c/5 + 4288. Solve j(y) = 0 for y.
-4, 116
Let z(v) be the first derivative of -v**4 - 32*v**3 + 218*v**2 - 336*v + 10278. What is o in z(o) = 0?
-28, 1, 3
Let l(f) be the second derivative of -216*f + 0*f**3 + 1/22*f**5 + 0 + 0*f**2 - 1/11*f**4 + 1/165*f**6. Find y, given that l(y) = 0.
-6, 0, 1
Determine v so that -652*v - 200*v**2 + 20*v**4 + 264 + 652*v**3 - 398*v**2 + 314*v**2 = 0.
-33, -1, 2/5, 1
Suppose -1905*r + 1902*r = 3*d - 1350, -3*r = 7*d - 3142. Let d + 4/7*f**2 + 32*f = 0. Calculate f.
-28
Let k(n) be the third derivative of -5/24*n**6 + 0 - 1/42*n**7 + 50/3*n**4 + n**5 + 0*n + 160/3*n**3 - 147*n**2. Factor k(m).
-5*(m - 4)*(m + 1)*(m + 4)**2
Let m(n) = 3*n**2 - n - 1. Let z(g) = -34*g**2 + 110*g - 87. Let x(p) = -22*m(p) - 2*z(p). Find d, given that x(d) = 0.
1, 98
Suppose -10*n + 18 = -7*n. Suppose n*z = 212 + 40. What is q in -2*q**3 + 21*q**2 - q**3 + 94 - 37 - z - 33*q = 0?
1, 5
Let f(v) be the third derivative of 0*v - 3*v**2 - 1/2*v**4 + 0 + 1/120*v**6 - 3/40*v**5 + 11/6*v**3. Let x(k) be the first derivative of f(k). Factor x(n).
3*(n - 4)*(n + 1)
Let s(w) = 4*w**2 + 7*w + 13. Let c be s(-5). Let t be (-14)/2 + 754/c. Factor -4*a + 4/3*a**2 + t.
4*(a - 2)*(a - 1)/3
Factor 0 + 6/5*m - 67/5*m**2 - 23/5*m**3.
-m*(m + 3)*(23*m - 2)/5
Let v(o) be the third derivative of -2*o**7/315 - 14*o**6/45 + 4*o**5/3 - 10067*o**2. Factor v(g).
-4*g**2*(g - 2)*(g + 30)/3
Let q(c) = c**2 - 6*c - 28. Let j(t) = -5*t**2 - 348*t - 628. Let o(b) = j(b) + 4*q(b). Find l, given that o(l) = 0.
-370, -2
Let 903*i**3 - 162*i**4 + 180 - 43*i**3 + 59640*i + 17*i**4 + 3685*i**2 - 56780*i = 0. What is i?
-2, -1, -2/29, 9
Let z = -2434889 + 241051762/99. Let j = z + 267/11. Let -j*l**2 + 2/3 + 4/9*l**3 + 4/9*l = 0. What is l?
-1/2, 1, 3
Let c(w) be the first derivative of -10*w**2 + 0*w + 45 + 0*w**3 + 15/4*w**4 + w**5. Factor c(v).
5*v*(v - 1)*(v + 2)**2
Let f(a) be the first derivative of -a**5/5 + a**4/12 + 2*a**3/3 - a**2/2 - 47*a + 12. Let g(y) be the first derivative of f(y). Suppose g(d) = 0. Calculate d.
-1, 1/4, 1
Let b = -7 + 0. Let w = b + 11. Let 0*n**w + 17*n**3 + 6*n - 17*n**3 + 3*n**4 - 9*n**2 = 0. What is n?
-2, 0, 1
Suppose 20 = 5*n - q + 6, 8 = -2*q. Suppose -3*u - 2*x = x - 15, -n*x = 5*u - 25. Factor 0*s**u + 4*s**4 + 2*s**4 + 5*s**5 + 5*s**5.
2*s**4*(5*s + 3)
Let a(w) be the first derivative of -w**4/4 + 5*w**3/3 + 2*w + 32. Let i be a(5). Factor 2*y**2 - 1 - 3 - 4*y - y**2 - i*y**2.
-(y + 2)**2
Let a(u) = 3*u**2 - 16*u + 4. Let z be a(0). Let r(k) be the first derivative of -k**2 + 31 - 1/24*k**z - 1/3*k**3 - 4/3*k. Factor r(g).
-(g + 2)**3/6
Let u(k) be the third derivative of -3 - 18*k**2 + 17/18*k**4 + 10/9*k**3 + 73/180*k**5 + 11/180*k**6 + 0*k - 1/210*k**7. Let u(o) = 0. Calculate o.
-1, -2/3, 10
Let j(m) be the first derivative of 5*m**6/3 + 262*m**5/15 - 197*m**4/30 - 62*m**3/9 - 6*m**2/5 - 349. Find p, given that j(p) = 0.
-9, -1/5, 0, 2/3
Let h(a) be the first derivative of 9*a**5 - 54*a**4 - 707*a**3/3 + 49*a**2 - 7812. What is v in h(v) = 0?
-7/3, 0, 2/15, 7
Suppose -17*j + 26*j = 540. Factor 16 + j*h + 30*h**2 + 3*h - 19*h.
2*(3*h + 2)*(5*h + 4)
Let s = 273265/79 - 3459. Let r = 1094/237 + s. Let 6*b**3 - 10/3*b**4 - r*b**2 + 0 + 2/3*b**5 + 4/3*b = 0. What is b?
0, 1, 2
Let o(t) be the second derivative of -t**4/96 - 23*t**3/48 - 7*t**2 - 96*t. Solve o(g) = 0 for g.
-16, -7
Let f(v) be the second derivative of v**4/36 - 7*v**3/18 + 2*v**2 + 1333*v. Factor f(n).
(n - 4)*(n - 3)/3
Factor -88/3 - 86/3*l + 2/3*l**2.
2*(l - 44)*(l + 1)/3
Let v = -468821/3 - -156274. Factor -v*k**3 + 0*k + 0 + 1/3*k**2.
-k**2*(k - 1)/3
Let v(x) = 2*x**2 + 328*x + 1662. Let h(z) = -12*z**2 - 2292*z - 11640. Let n(q) = -3*h(q) - 20*v(q). Find w such that n(w) = 0.
-5, 84
Let k(m) be the second derivative of m**5/30 - 13*m**4/9 + 224*m**3/9 - 640*m**2/3 + 370*m. What is l in k(l) = 0?
8, 10
Let m be 5 - (2346/(-10))/(-51). Let b be (0 - 1)/((-5)/2). Determine u so that b*u - m - 2/5*u**4 - 4/5*u**3 + 4/5*u**2 + 2/5*u**5 = 0.
-1, 1
Let j(w) be the first derivative of w**6/2 - 78*w**5/5 + 555*w**4/4 - 124*w**3 - 1368*w**2 - 1728*w + 6137. Suppose j(n) = 0. What is n?
-1, 4, 12
Suppose -169*m + 133*m = 0. Let y(k) be the third derivative of -1/30*k**5 + 5/36*k**4 + 0 + m*k - 2/9*k**3 - 15*k**2. Determine j so that 