9 - 31 = -q - 5*k, 5*k - 150 = -2*q. Factor -10 + 3*m - 70*m**2 - 3*m**3 + q*m**2 + 2*m - 2*m**3.
-5*(m - 2)*(m - 1)*(m + 1)
Factor 36*d**2 - 15*d**3 + d**3 - 1850897 - 6*d**3 + 1850905 - 28*d + 4*d**4.
4*(d - 2)*(d - 1)**3
Let a(h) be the first derivative of h**3/9 + 6*h**2 - 37*h/3 + 578. Solve a(q) = 0 for q.
-37, 1
Let 2015111*m - 95*m**4 - 5*m**5 - 2016191*m - m**2 + 1085*m**3 + 52*m**2 + 44*m**2 = 0. What is m?
-27, -1, 0, 1, 8
Let h(g) = 2*g**3 + g**2. Let a(b) be the third derivative of -b**6/6 + 13*b**5/5 - 5*b**4/3 + 12*b**2. Let k(v) = a(v) + 6*h(v). Factor k(j).
-2*j*(j - 20)*(4*j - 1)
Let f(n) be the second derivative of n**5/45 - 10*n**4/27 + 34*n**3/27 - 16*n**2/9 - 312*n - 5. Solve f(t) = 0.
1, 8
Suppose -3 - 17 = -10*u. Factor 26*o + 11*o + 2*o + o - 4*o**u - o**2 - 60.
-5*(o - 6)*(o - 2)
Let v(m) = 2*m**3 + 17*m**2 + 3*m. Let y = 41 + -23. Suppose 5*c = -y + 3. Let d(b) = 3*b**3 + 18*b**2 + 2*b. Let i(u) = c*d(u) + 2*v(u). Factor i(j).
-5*j**2*(j + 4)
Let a(o) = -o**4 - 81*o**3 - 249*o**2 - 265*o - 96. Let h(f) = -f**4 - f**3 + 235*f**2 + 5 - 8 - 234*f**2 + 2. Let n(k) = a(k) - 6*h(k). Factor n(d).
5*(d - 18)*(d + 1)**3
Factor 1/2*i**3 - 1/2*i**2 - 8*i + 8.
(i - 4)*(i - 1)*(i + 4)/2
Let y be 2*(-2 - (45/(-2) - 0)). Let -279*b + 4*b**3 + 168*b**2 + 54 - y*b**3 + 10*b**3 = 0. What is b?
2/9, 3
Let c(b) be the first derivative of -2*b**5/25 - 9*b**4/10 + 202*b**3/15 - 171*b**2/5 + 32*b + 8621. Determine h, given that c(h) = 0.
-16, 1, 5
Suppose -2*c + 14 = 2*p, 3*p - 4 - 2 = 0. Let r be 45/25 - (-1)/c. Factor -84 - 90 - 3*b**r - 2*b**2 - 60*b - 6.
-5*(b + 6)**2
Let i(a) be the second derivative of a**6/195 + a**5/10 + 47*a**4/78 + 59*a**3/39 + 24*a**2/13 - 2*a - 966. Suppose i(q) = 0. Calculate q.
-8, -3, -1
Let t(z) be the first derivative of -5*z**6/6 - 67*z**5/15 + 9*z**4/2 + 62*z**3/9 - 13*z**2/2 + 5*z/3 - 1163. Determine w, given that t(w) = 0.
-5, -1, 1/5, 1/3, 1
Let v(b) be the third derivative of 179/135*b**5 + 167*b**2 + 2/27*b**6 - 70/9*b**4 + 0*b + 0 + 1/945*b**7 + 49/3*b**3. What is d in v(d) = 0?
-21, 1
Let 3/8*t**5 - 71/2*t**4 - 1292375/8*t - 7875/4*t**2 + 1945/2*t**3 - 214375/4 = 0. What is t?
-10, -1/3, 35
Suppose 3*q - 6381*p + 6380*p = -9, -2*p = -5*q - 21. Suppose -3*g + 0*g = 0. Factor -2/13*z**4 + 2/13*z**2 - 2/13*z**5 + g + 2/13*z**q + 0*z.
-2*z**2*(z - 1)*(z + 1)**2/13
Let g be ((-5)/10)/(9/(-261))*60. Let p = g - 868. Solve 0 - 24/7*k**p - 72/7*k - 2/7*k**3 = 0.
-6, 0
Let a = 59/342 + -7/114. Let s(x) be the second derivative of 7*x + 0 - 1/6*x**4 + a*x**3 + x**2 - 1/30*x**5. Suppose s(k) = 0. Calculate k.
-3, -1, 1
Let x = 580 + -310. What is b in 145*b**2 - x + 6*b**4 - b**4 + 55*b**3 + 20*b**2 + 45*b = 0?
-6, -3, 1
Let l be 14/(-4) + 3 + 111/6. Let d be 2/3*3 + 16. Factor d*y + 2/3*y**4 + 6*y**3 + l*y**2 + 0.
2*y*(y + 3)**3/3
Let c(z) be the third derivative of z**5/50 - z**4/8 + 3*z**3/10 - 6*z**2 + 165*z. Suppose c(u) = 0. Calculate u.
1, 3/2
Let -1/9*p**2 + 0 - 350/9*p = 0. Calculate p.
-350, 0
Let 2198/19*y**2 - 2/19*y**3 - 605000/19 - 602800/19*y = 0. Calculate y.
-1, 550
Suppose -5*i + 18*d - 2849 = 20*d, -5*i + d = 2858. Let x = i + 575. Factor 2/3*f + 2/3*f**2 - 2/3*f**x - 2/3*f**3 + 0.
-2*f*(f - 1)*(f + 1)**2/3
Let f(x) be the first derivative of -x**7/420 - x**6/30 - 3*x**5/20 + 8*x**3 + 58. Let v(u) be the third derivative of f(u). Factor v(n).
-2*n*(n + 3)**2
Let w(z) be the third derivative of z**8/112 + 7*z**7/10 + 51*z**6/5 - 1151*z**5/5 + 1484*z**4 - 4704*z**3 - 8134*z**2. Suppose w(p) = 0. What is p?
-28, 2, 3
Let o(d) be the first derivative of -d**5/5 - 220*d**4 - 1757*d**3/3 - 439*d**2 - 4216. Factor o(j).
-j*(j + 1)**2*(j + 878)
Determine p so that -2/7*p**5 + 0*p - 22/7*p**4 + 0*p**2 + 24/7*p**3 + 0 = 0.
-12, 0, 1
Let t be ((-20)/2)/5*-2. Factor 380*d**2 - 7 - t*d + 8 - 384*d**2 + 7.
-4*(d - 1)*(d + 2)
Let o be 0 + 1 + (-3 - 1) + -3. Let m(l) = -l**2 - 8*l + 1. Let t be m(o). Factor -7*k**2 + 3 - 2*k - t*k - 2*k**3 + 8*k + 5*k.
-(k + 1)*(k + 3)*(2*k - 1)
Let s be ((-33)/44)/(3/(-12)). Let g = -64 + 257/4. Let -1/4 + g*y**2 - 1/4*y**s + 1/4*y = 0. What is y?
-1, 1
Find v such that -12*v + 123*v**2 - 100*v - 83*v**2 - 4*v**3 + 96 = 0.
2, 6
Find v such that 128/13*v - 84/13*v**3 + 2*v**4 + 16/13*v**2 + 0 - 2/13*v**5 = 0.
-1, 0, 2, 4, 8
Let b(d) be the first derivative of -d**4 - 304*d**3/3 - 3290*d**2 - 29400*d + 2474. Determine v so that b(v) = 0.
-35, -6
Let c(g) be the third derivative of g**6/60 + 163*g**5/6 - 818*g**4/3 + 1092*g**3 - 55*g**2 - 29*g + 1. Factor c(b).
2*(b - 2)**2*(b + 819)
Let x be (-44)/2 + (2446 - 2422). Find g such that 27/5 - 1/5*g**3 - 3/5*g**x + 9/5*g = 0.
-3, 3
Let v(n) = n**3 - n**2 + 2*n + 1. Let s(h) = 5*h**3 + 6*h**2 - 3*h + 4. Let r(j) = 3*s(j) - 12*v(j). Factor r(i).
3*i*(i - 1)*(i + 11)
Let q(m) = -6*m**4 - 12*m**3 + 36*m**2 - 2*m - 2. Let v(w) = -w**4 - 2*w**2 - w - 1. Let o(i) = q(i) - 2*v(i). Factor o(j).
-4*j**2*(j - 2)*(j + 5)
Let x be 72/(-33) + 1/((-11)/(-2)). Let l be (x - -1180 - 1) + -3. Determine v, given that 3 + l*v**4 + 6*v**5 - 9*v - 1183*v**4 + 6*v**2 + 6*v**3 - 3*v**5 = 0.
-1, 1
Suppose 20/11 + 54/11*w**2 - 74/11*w = 0. What is w?
10/27, 1
Let r(m) be the third derivative of m**5/25 + 17*m**4/30 + 4*m**3/3 + 3367*m**2. Suppose r(j) = 0. Calculate j.
-5, -2/3
Let f(s) be the first derivative of -5*s**4/4 - 45*s**3 - 50*s**2 + 780*s - 8149. Factor f(o).
-5*(o - 2)*(o + 3)*(o + 26)
Let v(f) = -5*f**3 + 16*f**2 - 18*f. Let o(p) = 7*p - 13*p + 7*p - 2*p**2. Let l(t) = -2*o(t) + v(t). Factor l(b).
-5*b*(b - 2)**2
Factor -157 + 6*o**2 + 75 + 78 - 2*o**4 - 5*o**4 + 5*o**4 - 2*o + 2*o**3.
-2*(o - 2)*(o - 1)*(o + 1)**2
Suppose -2*s - 4*g = -36, -4*s - 4*g = -25 - 27. Suppose 11*k = s*k - 5*c - 14, 4*c = -4*k - 8. Factor -i + i**3 + 1/3*i**4 + 0 - 1/3*i**k.
i*(i - 1)*(i + 1)*(i + 3)/3
Suppose 271*t + 396 = 469*t. Factor -1/6*n**3 + 0 + 2/3*n + 0*n**t.
-n*(n - 2)*(n + 2)/6
Suppose 5*t + 5*l + 11997 - 11952 = 0, 2*l = -t - 18. Determine o, given that 0 + t*o + 1/6*o**2 - 1/6*o**3 = 0.
0, 1
Let y = -14 + 16. Let p = 12 - y. Factor -p*j - 6*j**2 + 4*j + 3*j**2.
-3*j*(j + 2)
Let m(o) = -684 - 693 + 8*o**2 - 18*o + 1401 - o**3 - 3*o. Let a(b) = -2 + 3 - 2. Let g(f) = -6*a(f) - m(f). What is z in g(z) = 0?
2, 3
Let z(u) = 50*u - 15. Let i be z(2). Suppose i = 2*k + 85. Factor 0 - 1/3*d**4 - 8/3*d**3 - 16/3*d**2 + k*d.
-d**2*(d + 4)**2/3
Let r be (4/((-36)/2127))/((-5)/15). Let z = r + -707. Solve 3/5*l**3 - 9/5*l**z - 3/5 + 9/5*l = 0 for l.
1
Let k(h) be the first derivative of -10*h**2 + 0*h - 3/4*h**4 - 32/3*h**3 - 59. Factor k(a).
-a*(a + 10)*(3*a + 2)
Let q = 7354/2181 + -28/727. Suppose -q*n + 5/6*n**2 - 35/2 = 0. What is n?
-3, 7
Let q be 3 - (-355)/(-20) - (242 + -257). Factor -s - 5/4 + q*s**2.
(s - 5)*(s + 1)/4
Let i(k) be the third derivative of -k**7/315 + 19*k**6/90 - 128*k**5/45 + 40*k**4/3 - 2*k**2 - 8*k + 576. Suppose i(a) = 0. What is a?
0, 4, 30
Factor 273*f**3 - 2*f**4 + 32*f + 5*f**5 - 6*f**5 - 89*f**3 + 16 + 16*f**2 - 3*f**4 - 188*f**3.
-(f - 2)*(f + 1)*(f + 2)**3
Let c(l) = -3*l**5 - l**4 - l**3 + 2*l**2 + l - 1. Let f(b) = -14*b**5 - 37*b**4 + 137*b**3 - 182*b**2 + 86*b - 5. Let r(n) = -5*c(n) + f(n). Solve r(o) = 0.
0, 1, 3, 27
Let s(q) be the second derivative of -q**4/16 + 1091*q**3/2 - 3570843*q**2/2 + 77*q + 5. Let s(b) = 0. What is b?
2182
Let q = -510801 + 676301509/1324. Let y = q - -2/331. Factor -y*l**3 - 9/4*l**2 + 3 + 0*l.
-3*(l - 1)*(l + 2)**2/4
Suppose 7*k - 96 = k. Let b be 1*k/36 - (-10)/45. Factor -8/3 - 16/3*m - 10/3*m**2 - b*m**3.
-2*(m + 1)*(m + 2)**2/3
Let t = 2941 - 2938. Let b(u) be the third derivative of 1/6*u**4 + 0*u**t + 0*u + 1/30*u**5 + 5*u**2 + 0. Factor b(x).
2*x*(x + 2)
Let h(d) be the third derivative of -d**9/151200 + d**7/1800 + d**6/300 + 61*d**5/60 + d**2 - 69*d. Let z(j) be the third derivative of h(j). Factor z(l).
-2*(l - 3)*(l + 1)*(l + 2)/5
Let m = 768 + -766. What is o in -9*o**2 - 6*o**m - 30 - 6*o**2 + 55*o - 5*o**3 + o**2 = 0?
-6, 1
Let v be 1*-2 - (-390)/190 - 130587/(-8664). Factor v - 1/8*f**3 - 99/8*f - 21/8*f**2.
-(f - 1)*(f + 11)**2/8
Let q(k) be the third derivative of k**6/6 + 133*k**5/4 - 515*k**4/24 - 250*k**3 - 3*k**2 - 2*k + 629. Suppose q(o) = 0. Calculate o.
-100,