(-20886)/10620 + 2/12)*(-3 - (1 - -16)). Determine z so that -n*z**2 + 9*z**4 - 3/2*z**3 + 0 - 3/2*z**5 - 24*z = 0.
-1, 0, 4
Let m(l) be the first derivative of l**7/105 + 4*l**6/75 + 3*l**5/25 + 2*l**4/15 + l**3/15 - 143*l + 40. Let h(f) be the first derivative of m(f). Factor h(k).
2*k*(k + 1)**4/5
Let j(l) be the second derivative of -l**7/70 - 6*l**6/25 - 33*l**5/25 - 7*l**4/2 - 51*l**3/10 - 21*l**2/5 + 3*l + 87. Solve j(o) = 0 for o.
-7, -2, -1
Factor -570/11 - 8/11*l + 2/11*l**2.
2*(l - 19)*(l + 15)/11
Let o(k) be the third derivative of -k**8/20160 + k**7/1008 - k**5/4 - 2*k**3/3 + 2*k**2 - 33*k. Let v(y) be the third derivative of o(y). Solve v(f) = 0 for f.
0, 5
Let j(x) be the second derivative of x**4/6 + 3196*x**3/3 + 2553604*x**2 - 249*x + 3. Let j(t) = 0. Calculate t.
-1598
Suppose 5*c = 5*x + 80, 72 = 2*c + 2*c - 2*x. Let j(w) be the first derivative of 1/14*w**4 + 0*w**2 + 2/21*w**3 + 0*w - c. Determine m so that j(m) = 0.
-1, 0
Factor -14161/5*q + 1/5*q**4 - 239/5*q**3 + 14399/5*q**2 + 0.
q*(q - 119)**2*(q - 1)/5
Let x(g) be the first derivative of -2/3*g**3 + 66 - 4/5*g**2 + 9/5*g + 2/5*g**4 + 1/25*g**5. Suppose x(m) = 0. What is m?
-9, -1, 1
Let w(x) be the first derivative of 3*x**4/8 + 678*x**3 + 1374975*x**2/4 - 1383123*x - 7389. Find k, given that w(k) = 0.
-679, 2
Let f(s) be the third derivative of s**7/1470 - s**6/84 + 29*s**5/420 - 4*s**4/21 + 2*s**3/7 - 7*s**2 + 13*s. Factor f(y).
(y - 6)*(y - 2)*(y - 1)**2/7
Let g be ((-1)/5)/(-175 - -174). Let f(o) be the third derivative of 1/2*o**4 - 1/2*o**3 - 8*o**2 - g*o**5 + 0 + 0*o. Factor f(c).
-3*(2*c - 1)**2
Let q(p) = -p**3 - 128*p**2 + 210*p + 10449. Let f be q(-129). Determine o so that -52/11*o**4 + 0*o + 26/11*o**3 + 14/11*o**5 + 12/11*o**2 + f = 0.
-2/7, 0, 1, 3
Factor -440*l**2 - 217190*l + 215482*l + 0*l**3 - 1272 - 4*l**3.
-4*(l + 1)*(l + 3)*(l + 106)
Let z(g) = -g**3 - 4*g**2 - 2*g - 1. Let y(o) = -100*o**3 - 194*o**2 - 100*o + 2. Let f(n) = y(n) + 4*z(n). Factor f(c).
-2*(c + 1)**2*(52*c + 1)
Let x(z) be the first derivative of -z**4/12 + 2*z**3/3 + 37*z**2/6 + 10*z - 715. Determine s so that x(s) = 0.
-3, -1, 10
Let i(t) be the third derivative of t**8/504 - 8*t**7/315 + 17*t**6/180 + t**5/45 - 2*t**4/3 - 85*t**2 - 2*t - 10. What is r in i(r) = 0?
-1, 0, 2, 3, 4
Suppose -d = -3*d - 3*d. Let z be (-6)/(-10) + (-24)/(-10) + d. Determine w so that 0*w**2 - 2/11*w**z + 0*w + 2/11*w**4 + 0 = 0.
0, 1
Let n(t) be the third derivative of -t**5/240 - 169*t**4/96 - 83*t**3/4 + 43*t**2 + 35*t + 1. Factor n(u).
-(u + 3)*(u + 166)/4
Suppose 73*c - 79*c + 72 = 0. Solve c - 3*k**3 - 7*k**2 + 19*k + 15*k**2 + 19*k**2 - 3*k**4 + 14*k + 6*k**3 = 0.
-1, 4
Let t be 1 + 2*-1 + (-187 - -188). Let f(j) be the second derivative of 4/3*j**3 + j**4 + 3*j + j**2 + t + 1/15*j**6 + 2/5*j**5. Suppose f(u) = 0. What is u?
-1
Let m = 167 - 165. Let -43*j + 2*j**3 + 30*j + 2*j**3 - 4 + 13*j**m = 0. Calculate j.
-4, -1/4, 1
Let -2736*q**2 + 111444 - 2*q**3 + 137*q**2 - 4085*q**2 - 697224*q - 14*q**3 + 63280 = 0. Calculate q.
-209, 1/4
Let t(i) be the first derivative of 6 + 0*i**4 + 7*i + 1/10*i**6 + 0*i**2 - 9/20*i**5 + 2*i**3. Let k(y) be the first derivative of t(y). Solve k(z) = 0 for z.
-1, 0, 2
Find d such that 1/2*d**5 + 7/2*d**4 + d**3 - 14*d**2 - 12*d + 0 = 0.
-6, -2, -1, 0, 2
Let c be ((-8)/212 - 8811/(-1749)) + (-81)/33. Factor 14/11*g**3 + c + 116/11*g**2 + 130/11*g.
2*(g + 1)*(g + 7)*(7*g + 2)/11
Let h(m) = -3*m**2 + 15*m - 3. Let p = -2 - -1. Let l be (-4 - 104/(-20))*(-30)/4. Let j(r) = -1. Let u(t) = l*j(t) + p*h(t). Factor u(k).
3*(k - 4)*(k - 1)
Let p be (5*(-15)/150)/((-4)/16). Solve -26/17*o**p - 6/17 + 6/17*o**3 + 26/17*o = 0 for o.
1/3, 1, 3
Find n, given that -212/3*n + 25*n**2 - 1/3*n**3 - 96 = 0.
-1, 4, 72
Let d(n) be the second derivative of 5*n**7/42 + n**6/3 - 51*n**5/4 + 140*n**4/3 + 50*n**3/3 - 360*n**2 - 90*n - 1. Let d(w) = 0. What is w?
-9, -1, 2, 4
Let i(j) = -12*j**2 - 9*j + 42 + 19*j**2 - 44 - j**3. Let t be i(5). Solve -4/11*c**2 - 2/11*c**t + 0 + 6/11*c = 0 for c.
-3, 0, 1
Let l(s) be the third derivative of -s**8/168 + 4*s**7/3 - 55*s**6/6 + 82*s**5/3 - 545*s**4/12 + 136*s**3/3 + 1576*s**2. Factor l(d).
-2*(d - 136)*(d - 1)**4
What is d in 0*d**2 + 0 + 4*d**4 + 1/2*d**5 + 0*d - 9/2*d**3 = 0?
-9, 0, 1
Let p be 2913/3870 + 30/(-75). Let w = p - 5/258. Factor -4/3*h**3 - h**2 + 0*h + 0 - w*h**4.
-h**2*(h + 1)*(h + 3)/3
Let u(n) = 55*n**3 + 135*n**2 - 151*n - 57. Let l(t) = -14*t**3 - 34*t**2 + 38*t + 14. Let s(w) = 9*l(w) + 2*u(w). Factor s(c).
-4*(c - 1)*(c + 3)*(4*c + 1)
Let r(o) = 8*o**4 - 451*o**3 + 1347*o**2 - 1340*o + 448. Let s(t) = -14*t**4 + 903*t**3 - 2695*t**2 + 2682*t - 896. Let j(y) = -5*r(y) - 3*s(y). Factor j(m).
2*(m - 224)*(m - 1)**3
Suppose 74*a - 585 = 65*a. Let l + 8 - a*l**2 - l**3 - 65*l**2 + 122*l**2 = 0. Calculate l.
-8, -1, 1
Solve 43*z + 130/3*z**4 - 128/3*z**3 - 130/3*z**2 + 0 - 1/3*z**5 = 0.
-1, 0, 1, 129
Let t be 132/(-55)*(-21)/189. Let r(y) be the third derivative of 0 + 2/21*y**7 - 13*y**2 + 0*y + 0*y**4 + t*y**6 + 0*y**3 + 1/84*y**8 + 4/15*y**5. Factor r(z).
4*z**2*(z + 1)*(z + 2)**2
Factor 3445/3*z - 2295/2 - 5/6*z**2.
-5*(z - 1377)*(z - 1)/6
Let c(z) = -2*z**3 - 20*z**2 - 45*z. Let t be c(-7). Let x = 4 + 0. Factor x*m**3 + t - 4*m + 0*m**3 - 21.
4*m*(m - 1)*(m + 1)
Factor -220/3*b**2 + 2/9*b**4 - 750 - 3800/9*b - 8/3*b**3.
2*(b - 27)*(b + 5)**3/9
Let x(k) be the first derivative of k**6/6 + 14*k**5/5 - 17*k**4/4 - 10*k**3 - 6538. Find h, given that x(h) = 0.
-15, -1, 0, 2
Let f(m) be the second derivative of m**5/20 - 47*m**4/12 + 203*m**3/6 + 9251*m**2/2 - 1906*m. Factor f(u).
(u - 29)**2*(u + 11)
Let r(w) be the third derivative of 17*w**2 - 1/6*w**6 + 1/3*w**4 + 3/5*w**5 + 0 + 0*w**3 - 4*w. Factor r(s).
-4*s*(s - 2)*(5*s + 1)
Solve 2/7*m**4 + 16/7*m**2 - 10/7*m**3 - 8/7*m + 0 = 0 for m.
0, 1, 2
Suppose 8/3*b**3 + 240 - 154*b + 59/3*b**2 - 1/3*b**4 = 0. Calculate b.
-8, 3, 10
Let k(x) be the second derivative of -3/140*x**5 + 105*x - 5/28*x**4 - 6/7*x**2 + 0 - 4/7*x**3. Factor k(g).
-3*(g + 1)*(g + 2)**2/7
Let i(k) = -k**2 + 1. Let j(q) be the first derivative of 7*q**3/3 - 18*q**2 + 29*q + 23. Let t(w) = 3*i(w) + j(w). Factor t(l).
4*(l - 8)*(l - 1)
Let g(r) = -43*r**3 + 93*r**2 + 2620*r - 762. Let j(z) = -6*z**3 - 1. Let u(a) = g(a) - 6*j(a). Find s such that u(s) = 0.
-14, 2/7, 27
Let a = 26 + -24. Suppose -a = -7*h + 6*h. Suppose 3*z**h + 14*z - 6 + 9*z**3 + 0*z**4 + 3*z**4 - 23*z = 0. What is z?
-2, -1, 1
Suppose 617/2*d - 141 - 5/2*d**3 + 111*d**2 = 0. Calculate d.
-3, 2/5, 47
Suppose -141*p - 6825 = -126*p. Let l = p + 455. Factor 1/3 + l*t**2 + 2/3*t**3 - 2/3*t - 1/3*t**4.
-(t - 1)**3*(t + 1)/3
Let s be 136/20 + -4 + 2/10. Suppose -46*v + 45*v + s = 0. Let -23*n**v - 10*n**3 - 9*n + 4*n - 18 - 6*n**4 + 38*n + 24*n**2 = 0. What is n?
-6, -1, 1/2, 1
Let c(w) be the first derivative of w**4 + 32*w**3 + 88*w**2 + 2461. Determine s, given that c(s) = 0.
-22, -2, 0
Let a(q) = q**2 - 17*q + 19. Let p be a(16). Determine z, given that -4*z**3 + 5*z**p + 12*z + 2*z**3 + 12*z**2 = 0.
-2, 0
Let m = -36082 - -504733/14. Let j = -57/2 - m. Suppose 26/7*r**2 - j*r**5 - 32/7*r**3 - 34/7*r**4 + 40/7*r + 8/7 = 0. What is r?
-2, -1, -1/4, 1
Let q(u) be the first derivative of -16 + 0*u + 0*u**2 + 45/4*u**4 - 40/3*u**3 - u**5. Factor q(l).
-5*l**2*(l - 8)*(l - 1)
Let z be (9/(135/(-25)) + 2)/1. Let z*k**5 + 0 - 10/3*k - 11/3*k**2 + 11/3*k**4 + 3*k**3 = 0. Calculate k.
-10, -1, 0, 1
Let p(w) be the second derivative of -5/12*w**4 - 171*w + 0 - 40/3*w**3 - 160*w**2. Factor p(x).
-5*(x + 8)**2
Let o(t) be the second derivative of t**7/21 - 8*t**6/15 - t**5/5 + 8*t**4/3 + t**3/3 - 8*t**2 + 187*t + 4. Let o(z) = 0. Calculate z.
-1, 1, 8
Let t(j) be the second derivative of 9/20*j**2 + 1/120*j**4 + 1/6*j**3 + 126*j + 0. Suppose t(i) = 0. What is i?
-9, -1
Suppose -2*r = -450 - 224. Let o = r - 335. Factor -1/8*g**o + 3/2 + g - 1/8*g**3.
-(g - 3)*(g + 2)**2/8
Suppose -3*w + 19 = -14. What is z in -w*z**3 - 54*z**2 + 5*z**4 + z**3 - 6*z**2 + 200*z + 30 - 190 = 0?
-4, 2
Let a(f) be the first derivative of -f**6/120 - f**5/2 + 21*f**4/8 + 119*f**3/3 - 112. Let m(n) be the third derivative of a(n). Factor m(z).
-3*(z - 1)*(z + 21)
Solve