a**4*(5*a + 2)/8
Suppose -52/5*x**2 + 52/5*x**4 + 0 + 2/5*x**5 - 2/5*x**3 + 0*x = 0. What is x?
-26, -1, 0, 1
Let f be (0 - -1)*(-261)/(-3393) - 374/(-39) - 3. Let 15/2*i + 5/6*i**2 + f = 0. What is i?
-8, -1
Let l = 46417 - 46415. Factor 4 + 16/3*p - p**l.
-(p - 6)*(3*p + 2)/3
Factor 18*p**3 + 3/2 + 56*p + 145/2*p**2.
(p + 1)*(p + 3)*(36*p + 1)/2
Let z = 1219654/7 - 174236. Find j, given that 0 + 2/7*j**2 - 4/7*j + z*j**3 = 0.
-2, 0, 1
Let q be 618/15 + 121/(-55) + 2 + 2. Let n(i) be the first derivative of -1/2*i**4 - 7*i**2 - 6*i + q - 10/3*i**3. Factor n(f).
-2*(f + 1)**2*(f + 3)
Let y be (-32)/(-10)*((-90)/(-12) + 0). Find z, given that y*z**4 - z**3 + 8*z**2 - 18*z**2 + 3*z**5 + 8*z**2 - 20*z**4 = 0.
-1, 0, 2/3
Let a = -227 + 240. Suppose 13 = -a*u + 65. Factor 10/3*p - 2/3*p**2 - u.
-2*(p - 3)*(p - 2)/3
Let m be (-23)/46 - 141/(-72). Let q(w) be the third derivative of 0*w + 1/2*w**5 - m*w**4 + 0 + 2*w**2 + 5/6*w**3. Factor q(g).
5*(g - 1)*(6*g - 1)
Factor 6128487/8*f**3 - 100467/4*f**2 + 549/2*f - 1.
(183*f - 2)**3/8
Let x(y) = y**3 - 69*y**2 + 61*y + 479. Let s be x(68). Let u(b) be the first derivative of 0*b + 0*b**s - 11 - 3/4*b**4 + 3/2*b**2. Let u(q) = 0. Calculate q.
-1, 0, 1
Let y(p) be the first derivative of -3*p**5/5 + 33*p**4/2 + 48*p**3 + 6824. Factor y(m).
-3*m**2*(m - 24)*(m + 2)
Let f(d) be the first derivative of -d**6/360 + d**5/15 - 2*d**4/3 - 19*d**3 - 41. Let u(o) be the third derivative of f(o). Find a, given that u(a) = 0.
4
Let x(j) be the first derivative of -2*j**5/55 - 93*j**4/22 + 808*j**3/11 - 4976*j**2/11 + 13440*j/11 - 13101. Factor x(m).
-2*(m - 4)**3*(m + 105)/11
Suppose 4*f + 3 = -5*x - 5, -8 = -4*f - x. Let l = -942322/15 - -314109/5. Factor 4/3*j + 0 + 4/3*j**2 + l*j**f.
j*(j + 2)**2/3
Factor -75/2*o**2 - 1/2*o**4 - 17/2*o**3 - 99/2*o + 0.
-o*(o + 3)**2*(o + 11)/2
Suppose -12*l + 115 = 19. Factor 48*w - 26*w + 5*w**3 + 9 - 23*w**2 + l*w**2 + 6 - 27*w.
5*(w - 3)*(w - 1)*(w + 1)
Let d(f) be the second derivative of -18 + 1/30*f**6 + 0*f**2 - 2/3*f**3 - f + 1/5*f**5 - 1/12*f**4. Find v, given that d(v) = 0.
-4, -1, 0, 1
Let i(l) be the second derivative of -l**8/6720 + l**7/2520 + l**6/144 + l**5/40 - 61*l**4/6 + 118*l. Let x(f) be the third derivative of i(f). Factor x(q).
-(q - 3)*(q + 1)**2
Let z(c) = -7*c**3 + 3*c**2 + 10*c + 6. Let k(a) = 20*a**3 - 9*a**2 - 29*a - 17. Suppose -102 = 6*x - 0. Let i(u) = x*z(u) - 6*k(u). Factor i(w).
-w*(w - 4)*(w + 1)
Determine r, given that 42/13*r - 2/13*r**2 - 216/13 = 0.
9, 12
Let w(u) be the first derivative of 5*u**4/4 - 155*u**3/3 + 275*u**2/2 + 435*u - 2375. Suppose w(c) = 0. Calculate c.
-1, 3, 29
Let s(x) be the first derivative of -3*x**4/20 + 758*x**3/5 + 4557*x**2/10 + 456*x - 3054. Factor s(v).
-3*(v - 760)*(v + 1)**2/5
Suppose -15*d + 21*d = 0. Let t be -2 + d - (21/6)/(-1). Factor -t*p - 1/2 - 1/2*p**3 - 3/2*p**2.
-(p + 1)**3/2
Suppose -31*h + 63*h - 42*h = -20. Suppose -8/17*b**4 + 0 + 8/17*b**h + 2/17*b**3 + 0*b - 2/17*b**5 = 0. Calculate b.
-4, -1, 0, 1
Suppose 3*d + 32 = 5*d - 4*m, 4*d - 3*m - 54 = 0. Suppose 35*y - 31*y - d = 0. Factor -3*i**2 - 4*i - 6*i**2 + 0*i**2 - y*i**3 - 5*i - 3.
-3*(i + 1)**3
Let o(a) be the first derivative of 13 + 5/3*a**3 + a + 5/2*a**2. Let d(y) = -y**2 - y. Let t(r) = 33*d(r) + 6*o(r). What is m in t(m) = 0?
-2, 1
Suppose -u - 2581 = 5*g - 0*u, -3*g + u = 1555. Let j = -515 - g. Factor 1/3*n**5 + 4/3*n**j + 0 - n**4 + 0*n**3 + 0*n.
n**2*(n - 2)**2*(n + 1)/3
Let w(r) = -14*r**3 - 66*r**2 + 68*r + 152. Let c(z) = -9*z**3 - 44*z**2 + 46*z + 101. Let i(s) = -8*c(s) + 5*w(s). Suppose i(d) = 0. Calculate d.
-12, -1, 2
Factor -562/3 + u**2 - 841/3*u.
(u - 281)*(3*u + 2)/3
Suppose -4 = a + 17*b - 13*b, -2*a + 2*b + 12 = 0. Let w = 13/5 + -159/65. Factor 6/13*h**a - 8/13*h**2 + 0 + 0*h**3 + 0*h - w*h**5.
-2*h**2*(h - 2)**2*(h + 1)/13
Solve -4/5*l**4 - 432*l**2 + 0*l + 0 - 2164/5*l**3 = 0.
-540, -1, 0
Factor 32*h**2 - 221*h - 35*h**2 + 212*h.
-3*h*(h + 3)
Let i(p) be the first derivative of 309*p**4/8 - 102*p**3 - 3*p**2 + 1128. Find s, given that i(s) = 0.
-2/103, 0, 2
Let r be (-1)/(6/(-10)*(13 + (-448)/36)). Find b such that -42/5*b**r - 54/5*b - 9/5*b**4 - 3 - 72/5*b**2 = 0.
-5/3, -1
Let -2736/5*v + 12/5*v**3 + 768/5*v**2 - 9/5*v**4 - 432 = 0. What is v?
-10, -2/3, 6
Let w(p) = -2*p**3 - 36*p**2 + 6*p + 110. Let g be w(-18). Factor -1/3*y**4 + 0 - 7/3*y**g + y + 5/3*y**3.
-y*(y - 3)*(y - 1)**2/3
Let f be (24/44)/(6/33). Solve -200 + 5/2*l**f - 190*l - 40*l**2 = 0.
-2, 20
Suppose 529 + 527 = 6*s. Factor -185*d - 452 - 85*d**2 + 5*d**3 + s + 181.
5*(d - 19)*(d + 1)**2
Let l(y) = 1512*y - 42333. Let h be l(28). Factor 2*m + 8/3*m**2 - 12 - 2/3*m**h.
-2*(m - 3)**2*(m + 2)/3
Let a(g) = -2*g**3 + g**2 - 1. Let w(p) = -8*p**3 + 365*p**2 - 1452*p - 639. Let y(i) = 2*a(i) + 2*w(i). Determine l, given that y(l) = 0.
-2/5, 5, 32
Factor -7793310 - 20169117 - 9798*l - 1541*l - 3*l**2 - 6979*l.
-3*(l + 3053)**2
Let l(v) be the second derivative of 49*v**5/4 + 12845*v**4/12 - 3700*v**3/3 + 530*v**2 + 393*v. Factor l(u).
5*(u + 53)*(7*u - 2)**2
Let q be 8 - (-605)/(-77) - (-5420)/(-14). Let l = q - -777/2. Determine n so that 3/4*n**2 - 3/4*n**3 + 0 + l*n = 0.
-1, 0, 2
Let w = 26451039/2926 + -9040. Let n = 417/2926 - w. Factor 2/7 + 1/7*o - n*o**2.
-(o - 2)*(o + 1)/7
Let t(i) = -19*i + 139. Let r be t(7). What is w in r*w**2 + 25*w - 10*w + 4*w**2 - 45 = 0?
-3, 3/2
Let s be 4750/380*(-3)/(-6). Let c be (-2 + -1)/((-3)/2). Factor -s*w + 15/2 + 5/4*w**c.
5*(w - 3)*(w - 2)/4
Let y(w) be the first derivative of w**4/10 - 34*w**3/15 + 27*w**2/5 + 18*w + 1813. Factor y(p).
2*(p - 15)*(p - 3)*(p + 1)/5
Let m(f) be the first derivative of 75 + 0*f - 4/9*f**3 - 4/25*f**5 + 1/5*f**2 + 2/5*f**4 + 1/45*f**6. Find j such that m(j) = 0.
0, 1, 3
Let c be (-2)/6 - 31/(-3). Factor -4 - 4*b + 4*b**2 + 14*b - c*b**2.
-2*(b - 1)*(3*b - 2)
Let w(f) = 5*f**2 + 14115*f - 9996970. Let o(b) = -3*b**2 - 14120*b + 9996972. Let g(j) = -5*o(j) - 4*w(j). Determine v, given that g(v) = 0.
1414
Let h(y) = 6*y - 55. Let w be h(13). Find d, given that 12*d**2 + 7 + 7*d**3 - 9 - w*d**3 + 16*d - 14 + 4*d**4 = 0.
-1, 1, 2
Solve -280/11 - 64*f - 10/11*f**2 = 0 for f.
-70, -2/5
Find y such that -3079 + 20*y + 6072 - 3057 - y**2 = 0.
4, 16
Let r(c) = 35*c**2 - 19*c - 89 - 19*c**2 - 4*c**2 - 11*c**2. Let j be r(-4). Solve -2/7*y**4 + 8/7*y**2 + 0 - 8/7*y + 2/7*y**j = 0 for y.
-2, 0, 1, 2
Let n(g) be the first derivative of -g**5/50 - g**4/8 - 7*g**3/30 - 3*g**2/20 + 1889. Let n(r) = 0. Calculate r.
-3, -1, 0
Solve -4990*x + 1705 - 4001*x**3 + 2311*x**3 - 10*x**4 - 120*x + 5*x**4 + 5100*x**2 = 0.
-341, 1
Let w(v) be the second derivative of -v**7/21 - 7*v**6/15 - v**5/2 + 7*v**4/6 + 2*v**3 + 56*v - 2. Let w(u) = 0. Calculate u.
-6, -1, 0, 1
Let z be 539/55*-1 - (-22 - -6 - -6). Factor z*f - 6/5 + 4/5*f**2 + 1/5*f**3.
(f - 1)*(f + 2)*(f + 3)/5
Let r = 11391 + -11389. Let k be (4 - -1)*(-9)/(-15). Find x, given that 1/9*x**4 - 7/9*x - 5/9*x**k + 2/9 + x**r = 0.
1, 2
Suppose 361*y - 544 = -118*y + 414. Factor -4/5*k**y + 2/5*k + 0 + 2/5*k**3.
2*k*(k - 1)**2/5
Let n = 372 - 480. Let t be (3/(-5))/(-1*n/(-40)). Factor -2/9*v**4 + 0 + 4/9*v**3 + 0*v - t*v**2.
-2*v**2*(v - 1)**2/9
Let o(f) be the first derivative of f**5/5 - 365*f**4/12 + 11402*f**3/9 - 3040*f**2 + 2400*f + 13737. Find y such that o(y) = 0.
2/3, 1, 60
Let v(a) = -46*a**2 - 90*a + 112. Let x(m) = -17*m**2 - 29*m + 37. Let y(s) = -3*v(s) + 8*x(s). Factor y(c).
2*(c - 1)*(c + 20)
Let a = -12/2087 - 2809066/6261. Let u = -446 - a. Factor -2/3*p**2 + 10/3*p - u.
-2*(p - 4)*(p - 1)/3
Let 39648*f**3 + 6*f**5 - 649*f**4 - 3*f**5 + 354*f**4 - 125316*f**2 + 525*f**4 + 469*f**4 = 0. Calculate f.
-118, 0, 3
Let u(c) be the second derivative of 0*c**2 + 0*c**3 - 19*c - 1 + 1/10*c**5 - 2/3*c**4. What is t in u(t) = 0?
0, 4
Let d(b) be the first derivative of b**6/2 + 333*b**5/5 - 675*b**4/4 + 113*b**3 + 143. Factor d(c).
3*c**2*(c - 1)**2*(c + 113)
Let w(j) = 8*j**2 + 143*j + 446. Let k be w(-4). What is d in 3/8*d**3 + 3/8*d**k - 15/8*d + 9/8 = 0?
-3, 1
Let m(z) = -z**2 - 522*z - 24432. Let k be m(-52). Solve -21*g**3 + k*g**4 + 26/3*g**2 - g + 0 + 16/3*g**5 = 0 for g.
-3, 0, 1/4, 1
Let c(q) be the second derivative of -6/5*q