10/11*z**3 + 8/11*z**4 + 4/11*z**2 + c*z**5 + 0 = 0. Calculate z.
-2, -1, 0
Let g(f) be the first derivative of 2*f**5/5 - 2*f**4 - 26*f**3/3 + 40*f**2 + 96*f + 5789. Suppose g(v) = 0. Calculate v.
-3, -1, 4
Let m(h) = h - 1 - 1 + 23 - 1. Let l be m(0). Solve 107*x + 10*x**4 - 10*x**3 + 5*x**5 + 3 - l*x**2 + 7 - 102*x = 0 for x.
-2, -1, 1
Let l be 878272/(-110) + 0 - (-77)/385. Let o = l - -8001. Factor -o*j**2 - 510/11*j - 150/11 - 18/11*j**3.
-6*(j + 5)**2*(3*j + 1)/11
Let w(h) be the third derivative of -h**5/15 + 25*h**4/6 - 104*h**3 - 1370*h**2 + 2. Factor w(j).
-4*(j - 13)*(j - 12)
Factor -5*c**2 + 0*c - 1/3*c**4 + 0 - 16/3*c**3.
-c**2*(c + 1)*(c + 15)/3
Let k(d) = 40*d**2 + 725*d - 6631. Let t(b) = 12*b**2 + 242*b - 2210. Let j(u) = -2*k(u) + 7*t(u). Factor j(z).
4*(z - 8)*(z + 69)
Let l = -2003 - -2007. Let g(j) be the third derivative of -2*j**2 - 1/28*j**l + 1/210*j**5 + 0 + 0*j**3 + 0*j. Factor g(u).
2*u*(u - 3)/7
Suppose 409*z - 740*z = 639*z + 182*z - 3456. Let -1/2*p**z - 3/2 + 5/2*p - 1/2*p**2 = 0. Calculate p.
-3, 1
Suppose 162*f + 3430 + 668 = 911*f + 353. Find i such that 1/4*i**f - 3/2*i**4 + 7/2*i**2 + 0*i + 0 - 9/4*i**3 = 0.
-2, 0, 1, 7
Let u = 12741 - 12739. Let i(m) be the second derivative of 0*m**2 + 0 + 1/36*m**4 + u*m - 7/18*m**3. What is g in i(g) = 0?
0, 7
Suppose -4*b + 65 = 9*b. Suppose -d - u = -5, -13 = -b*u + 2. Factor -28*o + 2*o**d - 4*o**2 - 4*o - 128 + 0*o**2.
-2*(o + 8)**2
Let b(o) be the third derivative of o**5/3 + o**4/6 - 12*o**3 + 53*o**2. Let s(x) = 4*x**2 + x - 14. Let d(v) = -3*b(v) + 16*s(v). Factor d(r).
4*(r - 1)*(r + 2)
Let w(q) be the second derivative of q**5/80 + 67*q**4/24 + 259*q**3/8 + 144*q**2 + 6760*q - 2. Determine i so that w(i) = 0.
-128, -3
Let n(q) = q**3 - q + 4. Let h(o) = o**2 + 2*o - 1. Let b(s) = -6*h(s) + 3*n(s). Factor b(g).
3*(g - 3)*(g - 1)*(g + 2)
Find g such that 297758541/2 - 1929321/2*g - 3/2*g**3 + 4167/2*g**2 = 0.
463
Factor -200/7 + 108/7*n - 4/7*n**2.
-4*(n - 25)*(n - 2)/7
Let s(d) be the third derivative of -53/150*d**5 - 67 + 45/4*d**4 + 0*d + 243/5*d**3 + 2*d**2 + 1/300*d**6. Factor s(f).
2*(f - 27)**2*(f + 1)/5
Let p(h) be the second derivative of -h**5/20 - 7*h**4/3 - 47*h**3/2 - 99*h**2 + 26*h - 55. Find n, given that p(n) = 0.
-22, -3
Let d(o) be the second derivative of -o**5/50 + o**4/10 - 849*o + 2. Suppose d(r) = 0. Calculate r.
0, 3
Let k(o) be the first derivative of 238 - 1/2*o**4 - 8*o**3 - 20*o - 21*o**2. What is d in k(d) = 0?
-10, -1
Suppose 201 + 310 = -27*i + 592. Factor 20/7*o**2 - 4*o**i + 48/7 + 176/7*o.
-4*(o - 3)*(o + 2)*(7*o + 2)/7
Let c be 246/10 - (48/(-40))/3. Let j be 4 - (-4)/(-28)*c. What is k in 0*k**2 - 3/7*k**4 + 0*k + 0 + j*k**3 = 0?
0, 1
Let q = 716/35 - 132/7. Let h(s) be the first derivative of 0*s**2 + 2/15*s**3 + 18 - q*s. Let h(r) = 0. What is r?
-2, 2
Let h(d) be the second derivative of 2*d**7/15 + 13*d**6/15 + 4*d**5/3 - 4*d**4/3 - 85*d**2 - 19*d - 1. Let w(p) be the first derivative of h(p). Factor w(u).
4*u*(u + 2)**2*(7*u - 2)
Let g = -27 - -41. Suppose -9*h + g = -2*h. Solve -9*k**3 - 15*k - 6 - 3 + 10*k**h + 23*k**2 = 0 for k.
-1/3, 1, 3
Let r be 0/(10 + -16)*(-1 - (3 - 3)). Let s(t) be the first derivative of 1/8*t**4 - 2/3*t**3 + 0*t + 19 + r*t**2. Suppose s(o) = 0. What is o?
0, 4
Let x be (6/(-3) + 244)/((-190)/(-76)). Factor -14/5*l**3 + 312/5*l**2 - 1782/5*l + x.
-2*(l - 11)**2*(7*l - 2)/5
Let a = 3576 + -3572. Let u(p) be the first derivative of 0*p + 0*p**3 - p**a - 2/5*p**5 + 0*p**2 + 8. Find n, given that u(n) = 0.
-2, 0
Find j, given that 3/5*j**3 + 14*j**2 + 0 - 25*j = 0.
-25, 0, 5/3
Let k(q) be the second derivative of 0 - 75*q - 63/100*q**5 - 9/50*q**6 + 0*q**2 - 3/10*q**3 + 17/20*q**4. Determine b, given that k(b) = 0.
-3, 0, 1/3
Let t(z) = -5*z**2 - 3008*z - 3024. Let w(a) = -69*a**2 - 42112*a - 42330. Let x(c) = -82*t(c) + 6*w(c). Factor x(d).
-4*(d + 1)*(d + 1503)
Let g(c) = -15*c**2 + 2280*c - 2205. Let a(z) = -z**2 + 7*z. Let y(m) = 10*a(m) - g(m). Suppose y(u) = 0. What is u?
1, 441
Suppose -8497 = 3*u + r - 8501, 4*u = -2*r. Let i(y) be the second derivative of 1/16*y**u - 22*y + 0 - 1/8*y**3 + 0*y**2. Suppose i(v) = 0. What is v?
0, 1
Solve k**2 + 19 + 699*k + 0*k**2 - 410 - 1812*k + 723*k = 0 for k.
-1, 391
Let d(v) be the third derivative of -v**7/105 - 17*v**6/15 - 217*v**5/6 + 1225*v**4/6 - 1869*v**2 - v. Factor d(g).
-2*g*(g - 2)*(g + 35)**2
Factor -303/8 + 99/8*q**2 + 1/8*q**3 - 205/8*q.
(q - 3)*(q + 1)*(q + 101)/8
Let x(y) = -2*y**4 + 3*y**3 - y - 1. Let g(o) = -12*o**4 - 684*o**3 + 2836*o**2 - 2140*o - 4. Let p(b) = g(b) - 4*x(b). Solve p(f) = 0 for f.
-178, 0, 1, 3
Let d(i) be the third derivative of i**6/120 - 4*i**5/15 - i**4/24 + 8*i**3/3 - 336*i**2 + 6. Suppose d(y) = 0. What is y?
-1, 1, 16
Let k(l) = 4*l**3 + l**2 + l - 1. Let a(r) = -52*r**4 + 244*r**3 - 336*r**2 + 208*r - 44. Let j(p) = -a(p) + 4*k(p). Determine t, given that j(t) = 0.
5/13, 1, 2
Let l = 471 - 1393/3. Let p = -31/6 + l. Let -3/2*q**3 + 0 + 0*q + p*q**4 - 3*q**2 = 0. Calculate q.
-1, 0, 2
Let t be 34/(-504) + 20/210. Let l(c) be the third derivative of 2/45*c**5 + 0*c**3 + 0*c + 0 - t*c**6 + 0*c**4 + 1/315*c**7 - 4*c**2. Factor l(h).
2*h**2*(h - 4)*(h - 1)/3
Let o(g) be the first derivative of g**3/3 + 8*g**2 + 60*g + 3887. Let o(n) = 0. Calculate n.
-10, -6
Let v(z) be the first derivative of 8*z**6/15 - 392*z**5/25 - 239*z**4/20 + 992*z**3/15 - 427*z**2/10 + 10*z + 2719. Determine j, given that v(j) = 0.
-2, 1/4, 1, 25
Let o(d) be the second derivative of -1/24*d**3 + 1/240*d**5 + 0 + 5*d - 9*d**2 + 1/96*d**4 - 1/480*d**6. Let v(w) be the first derivative of o(w). Factor v(k).
-(k - 1)**2*(k + 1)/4
Let q be 17/85 - (-10644)/30. Let l be q/4 - 6/((-24)/20). Factor 225/4*i**2 - l*i**3 + 3/4 - 45/4*i.
-3*(5*i - 1)**3/4
Let x = -15131/4 - -3783. Let h(b) be the third derivative of -1/20*b**5 - x*b**4 + 0 - 5*b**2 + 0*b - 1/2*b**3. Determine c so that h(c) = 0.
-1
Let b(q) = -49*q**2 - 79*q - 28. Let w = -454 + 452. Let v(k) = 48*k**2 + 81*k + 30. Let x(t) = w*v(t) - 3*b(t). Let x(m) = 0. Calculate m.
-1, -8/17
Determine j, given that -17*j - 92*j**4 + 15*j**3 + 56*j**2 + 266*j**4 + 77*j - 173*j**4 = 0.
-10, -3, -2, 0
Let r(x) = -9 - 3 + 17*x**2 - x**3 + 6*x - 4*x**2 + 9*x. Let a be r(14). Let -16 + g**5 + 10*g**4 + 40*g - 25*g**2 - 5*g**3 - a*g**4 - 3*g**4 = 0. Calculate g.
-4, 1
Let y(c) = 3*c**2 - c + 2. Let u(i) = -4*i**3 - 690*i**2 - 40370*i - 780444. Let h(p) = u(p) - 2*y(p). Solve h(o) = 0 for o.
-58
Let j(y) be the first derivative of -4*y**3/9 - 272*y**2/3 + 5840*y/3 - 4871. Factor j(p).
-4*(p - 10)*(p + 146)/3
Let i(t) be the second derivative of -t**6/120 - t**5/20 - 7*t**3 - 32*t. Let n(f) be the second derivative of i(f). What is k in n(k) = 0?
-2, 0
Let c(o) be the second derivative of o**5/60 - o**4/4 - 5*o**3/9 - 5*o - 129. Factor c(d).
d*(d - 10)*(d + 1)/3
Let g(h) be the first derivative of 36*h**5/5 + 51*h**4 - 380*h**3/3 - 158*h**2 - 56*h - 519. Suppose g(z) = 0. Calculate z.
-7, -1/3, 2
Solve 14*z**4 + 24*z**4 - 541696*z**2 + 1472*z**3 - 63*z**4 + 24*z**4 = 0.
0, 736
Let j(f) be the first derivative of -3*f**5/5 - 24*f**4 - 286*f**3 - 720*f**2 - 675*f + 35. Determine y, given that j(y) = 0.
-15, -1
Suppose 0 = -16*w + 25*w - 792. Factor -61*z + 167*z + 4*z**2 - 22*z - w.
4*(z - 1)*(z + 22)
Suppose -4*p = 6*f, -115*f + p - 1 = -117*f. Suppose -2/5*m + 0 - 3/5*m**f - 1/5*m**3 = 0. What is m?
-2, -1, 0
Let k = -212 - -250. Let u(r) = -r**2 + 36*r + 76. Let g be u(k). Suppose g*t - 32/5 + 6/5*t**2 - 1/5*t**3 = 0. Calculate t.
-2, 4
Let l(b) be the third derivative of b**7/273 + 2*b**6/195 - 2*b**5/195 + 4104*b**2. Let l(a) = 0. What is a?
-2, 0, 2/5
Let r = -34/53 - -1339/848. Let l = r - 7/16. Factor 1/4*a**2 - 3/4*a + l.
(a - 2)*(a - 1)/4
Let f(h) be the first derivative of 3/20*h**5 + 34 - 1/4*h**4 + 1/6*h**3 - 1/30*h**6 + 0*h**2 - 23*h. Let m(u) be the first derivative of f(u). Factor m(c).
-c*(c - 1)**3
Let x be (92/(-5) - -9) + 2/5. Let g be 8 - (9 - (-12)/x). Determine c, given that -7/3*c**2 - 5/3*c**4 - g*c**5 - 2/3*c - 3*c**3 + 0 = 0.
-2, -1, 0
Let d(z) be the first derivative of -7*z**4/6 - 412*z**3/9 - 485*z**2 + 600*z + 838. Determine t, given that d(t) = 0.
-15, 4/7
Let x(m) = 