 0, 1, 2
Let x(j) = -2*j - 18. Let m(a) = a**2 - 25*a - 204. Let t(z) = m(z) + 5*x(z). Let t(y) = 0. What is y?
-7, 42
Suppose -33*t + 32*t + 5 = 0. Find v such that t*v**2 + v**2 - 3*v**2 - 16*v + v**2 = 0.
0, 4
Let b(m) be the third derivative of 0*m**3 - 6*m + 5*m**2 + 16/3*m**4 + m**6 - 56/15*m**5 + 1/168*m**8 + 0 - 13/105*m**7. Factor b(t).
2*t*(t - 4)**3*(t - 1)
Let y(m) be the second derivative of 1 - 11*m - 8/21*m**3 - 1/294*m**7 - 8/7*m**2 + 2/35*m**5 - 1/210*m**6 + 2/21*m**4. Solve y(d) = 0 for d.
-2, -1, 2
Let m(k) be the first derivative of -12*k**5/5 - 136*k**4 - 532*k**3/3 - 2445. Solve m(u) = 0.
-133/3, -1, 0
Let c(l) be the second derivative of -l**7/140 + l**6/80 + l**5/40 - l**4/16 - 17*l**2/2 - 3*l. Let f(k) be the first derivative of c(k). Factor f(s).
-3*s*(s - 1)**2*(s + 1)/2
Factor -468 - 388*a**2 - 117*a + 390*a**2 - 33*a.
2*(a - 78)*(a + 3)
Let m(r) be the first derivative of 6*r**2 + 0*r + 20/3*r**3 - 4/5*r**5 + r**4 - 47. Find t such that m(t) = 0.
-1, 0, 3
Let c(y) be the first derivative of -y**3/3 - 2820*y**2 - 7952400*y - 4590. Find h, given that c(h) = 0.
-2820
Let f(q) be the third derivative of q**8/1680 + q**7/70 - 17*q**6/300 + q**5/150 + 11*q**4/40 - 17*q**3/30 + 1311*q**2. Solve f(j) = 0 for j.
-17, -1, 1
Let j(y) = -3*y**2 + 634*y + 19853. Let r(w) = -w**2 + 633*w + 19851. Let l(b) = 3*b**2 + b + 4. Let q be l(0). Let p(g) = q*r(g) - 3*j(g). Factor p(z).
5*(z + 63)**2
Suppose 0 = -p - 4*v + 9, -6*p - 4*v = -10*p - 4. Let q be (-196)/(-392)*(1 - p)/(-2). Factor 5/6*h**2 + 0*h**3 - 5/6*h**4 + q*h + 0.
-5*h**2*(h - 1)*(h + 1)/6
Let d(b) = -131*b - 268. Let a(v) = -130*v - 269. Let i(m) = -2*a(m) + 3*d(m). Let c be i(-2). Solve c - 1/6*y**3 - 1/6*y**4 + 1/6*y**2 + 1/6*y = 0.
-1, 0, 1
Let j be 126/(-10) + ((-320)/50 - -6). Let o = j - -31. Factor 14*a - a**2 - o - 4 - 3 - 4*a.
-(a - 5)**2
Let z(o) = -2*o**3 + 155*o**2 + 1300*o + 1140. Let q(t) = -t**3. Let h(p) = 3*q(p) + z(p). Determine u, given that h(u) = 0.
-6, -1, 38
Factor 1/11*y**3 + 137/11*y**2 + 404/11*y + 268/11.
(y + 1)*(y + 2)*(y + 134)/11
Let n(u) be the third derivative of -64*u**2 - 3/5*u**5 + 0*u**3 + 0*u + 1/40*u**6 - 1/2*u**4 + 0 + 3/70*u**7. What is w in n(w) = 0?
-2, -1/3, 0, 2
Let s be 7920/1056*28/10. Let z(t) be the first derivative of 0*t + 1/4*t**4 + 2/3*t**3 + 0*t**2 + s. Factor z(x).
x**2*(x + 2)
Find q such that -3*q**4 + 9240*q - 18642 - 3*q**4 - 788*q**2 + 2*q**4 + 4530 - 144*q**3 = 0.
-21, 2, 4
Let b = 1149/269 + 851781/3497. Let u = 248 - b. Solve -2/13 - u*q**5 + 4/13*q**2 + 4/13*q**3 - 2/13*q - 2/13*q**4 = 0.
-1, 1
Let u be 7/(-161) - 354/(-207). Find x such that 0*x - u*x**3 - 2*x**2 + 1/3*x**5 + 2/3*x**4 + 0 = 0.
-3, -1, 0, 2
Suppose 3*u - 2*h = 158, -u + 4 = -2*h - 50. Suppose 11*t - u = -2*t. Factor 20/3*i**3 + 5*i**t - 5/3*i**2 - 10/3*i + 0.
5*i*(i + 1)**2*(3*i - 2)/3
Let x(w) be the second derivative of w**4/6 - 6*w**3/5 - 7*w**2 + 675*w. Let x(r) = 0. Calculate r.
-7/5, 5
Suppose -2*v = -4*x + 8, -4*x + 52*v - 48*v = -4. Suppose -15 = u - 4*u. Suppose 1 - 9*n**2 - u*n**2 + 7 + 6*n - n**x + 11*n**2 = 0. Calculate n.
-4, -1, 2
Let w(b) be the first derivative of -5*b**2/2 - 82*b - 78. Let l be w(-17). Factor 0*q + 1/5*q**l + 0 + 0*q**2.
q**3/5
Let h(y) be the third derivative of -y**11/66528 + y**10/30240 + 71*y**5/60 + 42*y**2 + 1. Let t(o) be the third derivative of h(o). Factor t(z).
-5*z**4*(z - 1)
Let k(m) be the second derivative of 10/3*m**3 - 69*m + 2 - 1/12*m**4 - 19/2*m**2. Factor k(r).
-(r - 19)*(r - 1)
Let d(r) be the second derivative of -5*r**4/12 - 5*r**3/3 + 175*r**2/2 + 251*r. Suppose d(i) = 0. What is i?
-7, 5
Suppose 9*q**5 + 2511*q**3 - 5*q**5 + 318*q**2 + 180*q**4 - 530*q**2 - 5554*q**2 - q**5 = 0. What is q?
-31, 0, 2
Let s(g) = -13*g**2 + 442*g - 896. Let d(v) = 10*v**2 - 441*v + 890. Let r(h) = 4*d(h) + 3*s(h). Find n, given that r(n) = 0.
2, 436
Let k(f) be the second derivative of f**5/100 - 9*f**4/40 + 87*f**2 + f - 44. Let q(y) be the first derivative of k(y). Find a, given that q(a) = 0.
0, 9
Let q(h) be the first derivative of 0*h - 4/3*h**3 - 1/9*h**6 + 0*h**2 + 134 + 1/6*h**4 + 4/5*h**5. What is k in q(k) = 0?
-1, 0, 1, 6
Let h(n) be the first derivative of 3*n**5/25 - 3*n**4/10 - 13*n**3/5 - 3*n**2 - 2819. Solve h(o) = 0.
-2, -1, 0, 5
Suppose 5*u = 3*a + 171, 0 = -0*u + u - 3*a - 39. Let z = -33 + u. Find n such that 210*n**3 - 2*n**4 - 204*n**3 + z*n**4 = 0.
0, 3
Determine x so that -47*x**2 - 51*x**2 - 53*x**2 + 25 + 195*x**2 - 45*x**2 = 0.
-5, 5
Let 86/11*d**4 + 3/11*d**5 + 0*d + 104/11*d**2 + 0 + 212/11*d**3 = 0. What is d?
-26, -2, -2/3, 0
Factor 1146*z - 1382 + 1224*z - 5*z**2 - 1567 + 153 + 431.
-5*(z - 473)*(z - 1)
Let o(j) be the second derivative of 0 + 1/165*j**6 - 7/22*j**4 + 0*j**2 - 1/3*j**3 - 9/110*j**5 + 31*j. Factor o(n).
2*n*(n - 11)*(n + 1)**2/11
Let w = -18638 - -18660. Let a(u) be the second derivative of u**2 + 0 + 1/6*u**3 - 1/12*u**4 - w*u. Determine s so that a(s) = 0.
-1, 2
Let a(y) be the second derivative of y**6/15 - 37*y**5/2 + 1441*y**4 - 8096*y**3/3 - 16928*y**2 + 4*y - 160. Factor a(m).
2*(m - 92)**2*(m - 2)*(m + 1)
Factor -2/11*c**3 - 10/11*c + 28/11 - 16/11*c**2.
-2*(c - 1)*(c + 2)*(c + 7)/11
Let p(j) be the first derivative of 23*j**3/3 - 7*j + 608. Let c(d) = 15*d**2 - 5. Suppose -5 = -2*x + 5. Let f(l) = x*p(l) - 8*c(l). What is u in f(u) = 0?
-1, 1
Solve 2/7*q**3 + 6602406/7*q + 6294/7*q**2 + 2308641298/7 = 0 for q.
-1049
Let a(i) be the third derivative of -i**7/168 + i**6/12 - i**5/3 - 26*i**3/3 + 98*i**2. Let t(r) be the first derivative of a(r). Factor t(k).
-5*k*(k - 4)*(k - 2)
Let l = -252 + -23. Let a be (-1350)/l + (-2)/(-22). Find b, given that 0*b - 9/4*b**4 + 3/2*b**3 - 1/4*b**2 + b**a + 0 = 0.
0, 1/4, 1
Let h(n) be the third derivative of -n**8/224 - 13*n**7/70 - 93*n**6/80 - 14*n**5/5 - 11*n**4/4 - 5*n**2 + 87*n. What is x in h(x) = 0?
-22, -2, -1, 0
Find h, given that 644/5 - 8/5*h**2 - 2574/5*h = 0.
-322, 1/4
Let o(l) be the third derivative of -l**6/60 - 11*l**5/10 - 21*l**4/4 + 1323*l**3 - 152*l**2 - 16. Find w such that o(w) = 0.
-21, 9
Let k = 1362 - 1349. Let d(w) = -2*w - 1. Let i be d(-3). Factor -4*a**4 + 14*a + 16*a**2 + k*a**3 - 2*a**i - 4*a**3 + 4 - 5*a**3.
-2*(a - 2)*(a + 1)**4
Let w be (-29 + 30)*((3 + -5)/(-1) - 0). Solve 141/5*o**w - 9/5*o**3 - 87/5*o - 9 = 0.
-1/3, 1, 15
Let u(s) = 7*s**3 - 3*s**2 + 2*s - 4. Let f be u(1). Let t(c) be the second derivative of 6*c + 1/3*c**3 - 1/12*c**4 + 0 - 1/2*c**f. Solve t(q) = 0 for q.
1
Let o(k) be the first derivative of -2*k**5/5 + 49*k**4 + 400*k**3/3 - 5943. Find v such that o(v) = 0.
-2, 0, 100
Suppose 1449*d**2 - 5787/2*d - 3/2*d**3 + 1446 = 0. What is d?
1, 964
Let s be 10/(-25) + (59664/45 - 78/1170). Factor 282/5*k + 3/5*k**2 + s.
3*(k + 47)**2/5
Let f = -55375 + 55391. Solve f*v**2 + 0 - 32/5*v**3 + 4/5*v**4 - 64/5*v = 0.
0, 2, 4
Factor 43851490 - 6564*z**3 + 2547839*z**2 - 92336907 + 1210746884 + 2241691*z**2 + 3*z**4 - 1167044436*z.
3*(z - 729)**3*(z - 1)
Let l(g) = -g**4 + g - 2. Let h(y) = 8*y**4 - 47*y**3 + 246*y**2 - 473*y + 226. Let b = -106 + 126. Let m(j) = b*l(j) + 4*h(j). Solve m(i) = 0.
2/3, 3, 6
Factor 2244*z**2 - 491250*z - 369920 - 5*z**3 + 124050*z + 2374*z**2 - 1903*z**2.
-5*(z - 272)**2*(z + 1)
Suppose -239*d = 1452 - 1930. Solve -1/4*m**d - 1/4*m + 1/2 = 0.
-2, 1
Let r = -12390 + 12394. Let a(b) be the third derivative of -22*b**2 + 0 - 1/105*b**5 - 1/7*b**r - 6/7*b**3 + 0*b. Factor a(w).
-4*(w + 3)**2/7
What is p in -254*p**5 - 3*p**4 + 341 - 341 - 10*p**3 + 24*p**2 + 255*p**5 = 0?
-3, 0, 2, 4
Let y(l) be the second derivative of -26/3*l**4 - 19/5*l**5 - 8*l**3 - 11/15*l**6 + 0*l**2 + l - 13 - 1/21*l**7. Determine h so that y(h) = 0.
-6, -2, -1, 0
Let k(s) = -25*s**2 + 1050*s - 985. Let n(y) = 11*y**2 - 520*y + 493. Let i(t) = 2*k(t) + 5*n(t). Find h such that i(h) = 0.
1, 99
Let f(g) = -7*g**5 + 16*g**3 + 40*g**2 - 32*g - 16. Let w(b) = -8*b**5 + b**4 + 17*b**3 + 41*b**2 - 30*b - 18. Let z(l) = 9*f(l) - 8*w(l). Factor z(o).
o*(o - 6)*(o - 2)**2*(o + 2)
Let r(s) be the second derivative of 0*s**2 + 1/21*s**7 - 18*s + 0*s**3 - 1/6*s**4 + 1/15*s**6 - 1/10*s**5 + 0. What is t in r(t) = 0?
-1, 0, 1
Let v be (9*(-10)/105)/(1/7). Let j be (-1 - 91/14)*3/