et c = 6 - -4. Let f(p) = 42*p**4 - 54*p**3 - 62*p**2 + 24*p. Let h(k) = -14*k**4 + 18*k**3 + 21*k**2 - 8*k. Let y(l) = c*h(l) + 3*f(l). Solve y(v) = 0 for v.
-1, 0, 2/7, 2
Let 1/6*u**5 + 11/2*u**4 + 0*u - 17/3*u**3 + 0*u**2 + 0 = 0. What is u?
-34, 0, 1
Suppose 2*b - 8 = -2*p, -63*b + 6 = -60*b. Factor -27*l**p - 3*l**4 - 81/4*l + 0 - 1/4*l**5 - 27/2*l**3.
-l*(l + 3)**4/4
Suppose -2*b = c - 270, b - 2*c - 55 - 70 = 0. Factor -43*i**2 - 41*i**2 + b*i**2 - 43*i**2 - 3*i**3.
-3*i**2*(i - 2)
Suppose 4*x + 32 = 4*z - 6*z, 4*z + 49 = -3*x. Let v be (-22)/z - (-4)/(-20). Factor -v*a**2 - a**3 - 8 + 0*a**2 + 8*a**2 + 3*a**3.
2*(a - 1)*(a + 2)**2
Let g = 119 - 119. Let f(u) be the third derivative of g - u**2 + 0*u**3 + 1/480*u**6 - 1/96*u**4 + 0*u + 1/240*u**5 - 1/840*u**7. Factor f(t).
-t*(t - 1)**2*(t + 1)/4
Let y(f) be the second derivative of f**6/120 - f**4/24 - 4*f**2 + f. Let w(q) be the first derivative of y(q). Suppose w(r) = 0. Calculate r.
-1, 0, 1
Let r(d) be the first derivative of d**4/2 + 8*d**3/3 - 12*d**2 - 116. Factor r(s).
2*s*(s - 2)*(s + 6)
Solve -419091*q**3 - 30706250*q**2 - 13140522012 - 2125*q**4 - 1305015625*q - 5*q**5 + 57841*q**3 - 10797151286 + 1752407673 = 0 for q.
-85
Suppose 3*i - 254 = -2*u + 110, 4*u + 452 = 4*i. Factor 239 - i - 3*q**2 + 7*q**2 - 125.
4*(q - 1)*(q + 1)
Let g(q) = -7*q**2 - 60*q - 2. Let r(c) = 24*c**2 + 182*c + 7. Let t(d) = 7*g(d) + 2*r(d). Factor t(y).
-y*(y + 56)
Factor 175616/3 - 2/3*y**4 - 25088/3*y - 160/3*y**3 - 1344*y**2.
-2*(y - 4)*(y + 28)**3/3
Let t(i) be the third derivative of 1/80*i**5 + 17*i**2 + 7/320*i**6 + 0*i**3 - 3*i + 3/896*i**8 + 0*i**4 + 1/70*i**7 + 0. Factor t(p).
3*p**2*(p + 1)**2*(3*p + 2)/8
Let g be (335/310)/((-15)/(-6)). Let m = g - 1/31. Factor 4/5*n - 6/5*n**2 + 0 + m*n**3.
2*n*(n - 2)*(n - 1)/5
Suppose 10 = -4*a - 10. Let i = a + 7. Find s such that 6 - 7*s - 9*s**4 + 22*s + 2*s**i - 15*s**3 + s**2 = 0.
-1, -2/3, 1
Let o = -217 - -3256/15. Let x(j) be the third derivative of 0*j**3 + 0*j + j**2 - 3/35*j**7 + 1/40*j**6 + o*j**5 + 0 - 1/24*j**4. Factor x(n).
-n*(2*n + 1)*(3*n - 1)**2
Suppose 0 = 2*l + 5*h - 79, 3*l - 186 + 36 = 3*h. Factor 2*v - 27 - 21*v**2 - 4*v + 3*v**3 + l*v.
3*(v - 3)**2*(v - 1)
Let b be (-1)/(1/(-4)) - 2. Suppose m = b*m - 2. Factor -17*x**4 + 13*x**4 - 6*x**2 + 16*x + 16*x**3 - 18*x**m - 4.
-4*(x - 1)**4
Factor 11*m**3 - 5*m**3 - 12*m**5 + 9*m**5 - 3*m.
-3*m*(m - 1)**2*(m + 1)**2
Let d = -137 + 139. Let f(q) be the first derivative of -3 - 3/16*q**4 + 0*q**3 + 3/8*q**d + 0*q. Factor f(l).
-3*l*(l - 1)*(l + 1)/4
Let b be ((-3)/(-15))/(-11 - (-111)/10). Factor 0*i + 2/5*i**4 - 4/5*i**3 + 2/5*i**b + 0.
2*i**2*(i - 1)**2/5
Let n(y) = 20*y**4 + 76*y**3 + 92*y**2 - 90*y - 98. Let m(o) = 7*o**4 + 25*o**3 + 31*o**2 - 30*o - 33. Let h(c) = -14*m(c) + 5*n(c). Let h(a) = 0. Calculate a.
-14, -1, 1
Suppose 7/4*h**2 - 11*h + 3 = 0. What is h?
2/7, 6
Suppose 23*u - 36*u - 78 = -39*u. Determine d, given that 4*d**2 + 2 + 16/3*d**u - 20/3*d + 4/3*d**5 - 6*d**4 = 0.
-1, 1/2, 1, 3
Let d(k) = 74*k + 76. Let s be d(-1). Suppose -2/3*a + 2/3 + 1/6*a**s = 0. Calculate a.
2
Let h(x) be the third derivative of 7*x**5/30 - 7*x**4/12 - 14*x**2. Let s(m) = 5*m**2 - 5*m. Let g(z) = 3*h(z) - 8*s(z). Determine l, given that g(l) = 0.
0, 1
Let k = 340/3 + -112. Let 0*d**2 + 0 - k*d**3 - 4/3*d**4 + 0*d = 0. Calculate d.
-1, 0
Factor 2/3*b**2 + 70/3*b + 0.
2*b*(b + 35)/3
Let a(b) be the third derivative of -5*b**8/1344 - 11*b**7/280 + 3*b**6/160 + 137*b**5/240 - 3*b**4/2 + 3*b**3/2 + 248*b**2. Solve a(d) = 0 for d.
-6, -3, 2/5, 1
Let p(j) = -3*j**3 - 30*j**2 - 3*j - 26. Let z be p(-10). Factor 3*y**5 + 0 + 36/7*y**z + 0*y + 9/7*y**3 - 6/7*y**2.
3*y**2*(y + 1)**2*(7*y - 2)/7
Let b(a) be the first derivative of a**8/336 - a**6/60 + a**4/24 + 4*a**2 + 20. Let v(r) be the second derivative of b(r). Suppose v(w) = 0. Calculate w.
-1, 0, 1
Let o be (236/(-177))/((-2)/15) + -6. Factor -10/3*x**3 + 0 + 16/3*x**2 - 8/3*x + 2/3*x**o.
2*x*(x - 2)**2*(x - 1)/3
Let t(b) = -4*b**4 - 16*b**3 - 44*b**2 - 41*b - 19. Let c(s) = s**4 + s**3 + s**2 + 1. Let k(n) = -5*c(n) - t(n). Factor k(w).
-(w - 14)*(w + 1)**3
Let c = -1205/21 + 404/7. Let j(q) be the first derivative of 0*q**2 - c*q**3 + 10 + 0*q. Factor j(o).
-o**2
Let k be 2/(-10) - (-56)/30. Let o = 5 - k. Solve 16/3*u - 8/3 - o*u**2 + 2/3*u**3 = 0.
1, 2
Let -510*j**2 - 14*j**3 - 947 + 9*j**3 - 1173 - 216*j + 384*j + 1932*j = 0. Calculate j.
-106, 2
Let k(g) be the second derivative of g**5/150 + 7*g**4/90 + 14*g**3/45 + 8*g**2/15 + 78*g. Factor k(a).
2*(a + 1)*(a + 2)*(a + 4)/15
Let o(c) be the third derivative of c**7/840 + c**6/48 + c**5/15 - c**2 - 17. Factor o(h).
h**2*(h + 2)*(h + 8)/4
Factor -9*p**2 - 3/4*p**3 - 27*p - 24.
-3*(p + 2)**2*(p + 8)/4
Let l(g) be the second derivative of g**4/60 + 31*g**3/30 - 16*g**2/5 + 2*g + 324. Determine t, given that l(t) = 0.
-32, 1
Let j(f) = 11*f**4 - 30*f**3 + 21*f**2 + 32*f - 24. Let c(i) = 23*i**4 - 60*i**3 + 43*i**2 + 64*i - 48. Let p(h) = -6*c(h) + 14*j(h). Factor p(r).
4*(r - 2)**2*(r + 1)*(4*r - 3)
Suppose 0 = 4*y - 1 - 19. Suppose -5 - y = -5*f. Factor 0*u**4 - 10*u**2 - u + f*u**4 - 4*u**4 - 3*u - 8*u**3.
-2*u*(u + 1)**2*(u + 2)
Let m(w) be the second derivative of -w**8/1680 + w**7/120 + w**3/2 + 28*w. Let j(p) be the second derivative of m(p). Solve j(i) = 0.
0, 7
Let l(c) = 3*c - 4. Let a be l(3). Suppose 3*d = -5*o - d - 16, -a*o - 12 = 3*d. Factor o*p - 3/5*p**5 - 9/5*p**3 + 0 + 9/5*p**4 + 3/5*p**2.
-3*p**2*(p - 1)**3/5
Let g(s) be the first derivative of -s**7/980 + s**6/630 + s**5/420 - 8*s**3/3 + 4. Let c(j) be the third derivative of g(j). Factor c(b).
-2*b*(b - 1)*(3*b + 1)/7
Suppose 0 = 8*y + 24 - 40. Let s(u) be the first derivative of -3 - 16/3*u - 1/15*u**5 + 2/3*u**4 + 16/3*u**y - 8/3*u**3. Factor s(p).
-(p - 2)**4/3
Suppose 5*s - 5*j = 10*s + 15, -2*s + 4*j + 24 = 0. Factor 16/7*p - 4/7*p**s - 16/7.
-4*(p - 2)**2/7
Let t(b) be the second derivative of -b**7/112 + b**6/24 - b**5/40 - b**4/12 - 30*b. What is w in t(w) = 0?
-2/3, 0, 2
Factor -1/5*n**4 - 8/5*n - 6/5*n**3 + 0 + 3*n**2.
-n*(n - 1)**2*(n + 8)/5
Let o(k) be the second derivative of -k**7/112 + 2*k**6/5 - 429*k**5/80 + 15*k**4 - 225*k**3/16 + 287*k. Factor o(v).
-3*v*(v - 15)**2*(v - 1)**2/8
Factor -78*g - 129 + 46 - 3*g**2 - 424.
-3*(g + 13)**2
Let c be (2/8)/((-8)/(-16)). Find k such that 1/2 + 5/4*k - k**2 + c*k**4 + 5/4*k**5 - 5/2*k**3 = 0.
-1, -2/5, 1
What is x in 0 + 0*x + 2*x**2 + 1/2*x**3 = 0?
-4, 0
Let t be (-2)/(-12) - 119/(-42). Factor 2/9*o**2 - 2/9*o + 2/9*o**t - 2/9.
2*(o - 1)*(o + 1)**2/9
Suppose 5*s + 231 - 240 = -w, -11 = -4*s + 3*w. Factor 0 - 5/4*u**3 + 0*u + u**4 + 1/4*u**s.
u**2*(u - 1)*(4*u - 1)/4
Suppose 31*z = 26*z - 640. Let k = z + 642/5. Factor 6/5 - 8/5*i + k*i**2.
2*(i - 3)*(i - 1)/5
Let q(z) be the first derivative of -4/9*z**3 + 14 - 4/3*z**2 + 16/3*z + 1/6*z**4. Factor q(g).
2*(g - 2)**2*(g + 2)/3
Let h(b) = 3*b**2 - 216*b - 177. Let v(k) = -3*k**2 + 213*k + 181. Let m(q) = 5*h(q) + 6*v(q). Let m(f) = 0. Calculate f.
-1, 67
Let y(v) = 47*v - 7705. Let k be y(164). Factor -l - 1/4*l**k + 1/4*l**4 + 4 - 3*l**2.
(l - 4)*(l - 1)*(l + 2)**2/4
Let q be (8/(-10))/(6/(-90)). Suppose q*w + 3*w - 45 = 0. Determine u, given that 1/5*u**w - 3/5*u + 2/5 + 0*u**2 = 0.
-2, 1
Suppose -b + 11 = -0*b. Let f(z) = z**2 - 12*z + 14. Let t be f(b). Factor -2*m**4 - 4*m**2 + 4*m**2 + 8*m - 16*m**3 + 10*m**t.
-2*m*(m - 1)*(m + 2)**2
Let s(c) = -c**3 - 29*c**2 - c + 7. Let j be s(-29). Suppose 20*k = j*k. Determine p, given that k + 1/5*p - 1/5*p**2 = 0.
0, 1
Let r(x) = x**2 + 7*x + 3. Let t be r(-10). Factor -3*d**5 + 2*d**5 + t*d**3 - 32*d**3.
-d**3*(d - 1)*(d + 1)
What is w in 21*w**4 + 797*w**2 + 571*w**2 - 2079*w - 321*w**3 + 486 + 45*w**2 = 0?
2/7, 3, 9
Let f = -6 - -8. Let u = 1397 - 1394. Determine v so that 1/4*v**f - 1/4*v**u + 1/4*v - 1/4 = 0.
-1, 1
Factor -2/5*a**3 - 16/15*a - 22/15*a**2 + 8/15.
-2*(a + 2)**2*(3*a - 1)/15
Let p be (23 - 5)/((-11)/((-77)/28)). Factor p - 3/2*y**3 + 3/2*y**2 + 15/2*y.
-3*(y - 3)*(y + 1)**2/2
Let r(c) = -2*c**3 + 3*c**2 + 15*c + 8. Let f = -59 - -62. Let u(j) = -5*j**3 + 10*j**2 + 44*j + 24. Let k(p) = f*u(p) - 8*r(p). Solve k(i) = 0 for i.
-2
Let o(x) = 0*x - 