o - 55)*(o - 2)/7
Let x = -100166 - -500831/5. Factor 6/5*t**2 - x*t**3 - 6/5 + 1/5*t.
-(t - 6)*(t - 1)*(t + 1)/5
Let w(z) be the first derivative of z**4/38 - 32*z**3/57 - 39*z**2/19 + 108*z/19 - 13968. Determine u, given that w(u) = 0.
-3, 1, 18
Suppose 7*n - 6 = 22. Suppose 60 = 2*t + 52. Suppose -2*z**4 + 0*z**n + z**4 - 3*z**t = 0. What is z?
0
Let -39 - 22*s + 139/4*s**2 - 7*s**3 = 0. Calculate s.
-3/4, 2, 26/7
Let w be 26/39 - 89/(-6)*4. Factor w*a**2 - 219 + 5*a**3 + 180*a + 219.
5*a*(a + 6)**2
Let r = -24279 - -24281. Determine y so that 6/11 + 12/11*y**r - 2/11*y**4 - 16/11*y + 0*y**3 = 0.
-3, 1
Let h(u) be the second derivative of -u**5/10 - 348*u**4 - 484416*u**3 - 337153536*u**2 - 835*u. Suppose h(b) = 0. Calculate b.
-696
Let a = -998/29 + 2141/58. Let d(l) be the second derivative of -1/16*l**4 - 44*l - a*l**3 - 75/2*l**2 + 0. Suppose d(t) = 0. What is t?
-10
Let p = 4825713/7 - 689373. Factor -57/7*t + p + 3/7*t**2.
3*(t - 17)*(t - 2)/7
Let a = 3994 - 3994. Let q(t) be the third derivative of a*t**4 + 1/2*t**5 + 1/12*t**6 + 0*t + 1/252*t**7 + 0 + 0*t**3 + 14*t**2. Factor q(c).
5*c**2*(c + 6)**2/6
Suppose 0 = -162*k + 160*k + 28. Suppose -4*b = 5*u - 7, -47*b - u + k = -42*b. What is r in -r**2 + 5/4*r**b + 0*r - 1/4*r**4 + 0 = 0?
0, 1, 4
Let v = 22407 + -22407. Let 10/7*x + v + 2/7*x**2 = 0. What is x?
-5, 0
Let n = 7048 - 7048. Let u be ((-14)/(-4))/(-7)*0. Find x such that u - 2/13*x**3 + 0*x + 0*x**2 + 2/13*x**5 + n*x**4 = 0.
-1, 0, 1
Let n(u) be the first derivative of -2*u**3/21 + 18*u**2/7 - 130*u/7 - 8. Factor n(p).
-2*(p - 13)*(p - 5)/7
Suppose 2*g - 5 = 3. Let h be g - 3*(-2)/(-3). Factor -4*n**4 - 31*n**h - 34*n**2 + 69*n**2.
-4*n**2*(n - 1)*(n + 1)
Let b(m) be the first derivative of -m**5/20 + 3*m**4/8 + 2*m**3 - 54*m**2 + 41. Let s(w) be the second derivative of b(w). Let s(a) = 0. What is a?
-1, 4
Factor 46818/11 + 2/11*o**2 + 612/11*o.
2*(o + 153)**2/11
Determine b so that -2/3*b**3 - 16/3*b - 8/3 - 10/3*b**2 = 0.
-2, -1
Let z(a) = 2*a**2 + 2*a - 2. Let f be z(-2). Let o = -16369 - -16372. Factor 0 + 0*j + 2/9*j**o + 4/9*j**4 + 0*j**f + 2/9*j**5.
2*j**3*(j + 1)**2/9
Let w(i) be the third derivative of 1/330*i**5 + 0*i - 7/132*i**4 - 115*i**2 - 10/11*i**3 + 0. What is d in w(d) = 0?
-3, 10
Let u(j) = 43*j + 58. Let z(y) = -42*y - 57. Let b(s) = -3*u(s) - 2*z(s). Let r(q) = q**2 - 45*q - 58. Let a(f) = 6*b(f) - 5*r(f). Factor a(l).
-5*(l + 2)*(l + 7)
Let f(i) be the third derivative of -1/210*i**7 + 0*i**4 - 7/160*i**6 + 0 - 1/48*i**5 + 0*i + 9*i**2 + 0*i**3. Factor f(u).
-u**2*(u + 5)*(4*u + 1)/4
Let k be (-52)/6 - ((-13)/(-3) - 6). Let n be (32/54)/(k/(-21)). Let 2/9*i**2 - 4/3*i + n = 0. What is i?
2, 4
Let a(h) = -h**2 - 25*h - 147. Let m be a(-15). Let 20*q**m + 1 + 52*q - 5 + 626*q**2 + 40*q**3 - 283*q**2 - 227*q**2 = 0. What is q?
-1, 1/15
Let w(k) be the second derivative of 2*k**7 - 310*k**6/3 + 7486*k**5/5 - 2028*k**4 - 432*k**3 + 13057*k. Solve w(l) = 0 for l.
-2/21, 0, 1, 18
Let t(o) be the third derivative of -o**8/336 - o**7/21 - 37*o**6/120 - 16*o**5/15 - 13*o**4/6 - 8*o**3/3 + 1521*o**2. Factor t(h).
-(h + 1)**2*(h + 2)**2*(h + 4)
Let u(y) be the first derivative of -5*y**2 + 0*y - 39 + 5*y**4 - 35/3*y**3. Factor u(k).
5*k*(k - 2)*(4*k + 1)
Let a(w) be the first derivative of w**6/2520 + 13*w**5/420 - 9*w**4/56 - 2*w**3/3 + w**2/2 + 34. Let y(q) be the third derivative of a(q). Factor y(l).
(l - 1)*(l + 27)/7
Let o(v) be the third derivative of -v**9/16632 + v**8/3080 + 65*v**3/3 - 49*v**2. Let b(u) be the first derivative of o(u). Factor b(j).
-2*j**4*(j - 3)/11
Suppose 4*d = 4*l - 4305 + 4253, -3*l + 39 = d. Determine w, given that d*w**3 - 4/3 - 6*w + 8/3*w**4 - 22/3*w**2 = 0.
-1, -1/2, 2
Suppose -5*f - 3*q = -117, -3*f + 69 = 6*q - 3*q. Find x such that -32*x**3 + 20*x + 34*x**3 - f*x - 2*x**2 = 0.
-1, 0, 2
Let y(o) be the second derivative of o**6/150 - 11*o**5/50 - o**4/60 + 11*o**3/15 + 6066*o. Determine q so that y(q) = 0.
-1, 0, 1, 22
Suppose -4*r + 5 = 2*t - 1, -5*t = 3*r - 22. Suppose -5*i + 1 = 2*m - 1, t*i = -3*m + 8. Let -9*g**3 + m*g - 5*g - 3*g**4 - 4*g - 9*g**2 = 0. What is g?
-1, 0
Let k(n) be the third derivative of n**6/64 + 23*n**5/80 + 2*n**4 + 6*n**3 - 1878*n**2. Factor k(w).
3*(w + 4)**2*(5*w + 6)/8
Let i(m) be the second derivative of m**6/15 - 19*m**5/5 + 35*m**4/6 + 74*m**3/3 - 1245*m. What is l in i(l) = 0?
-1, 0, 2, 37
Let h(a) = 3*a**3 - 843*a**2 + 3339*a - 2610. Let c(r) = -3*r**3 + 843*r**2 - 3337*r + 2571. Let u(k) = 3*c(k) + 2*h(k). Find i such that u(i) = 0.
1, 3, 277
Let s(v) be the second derivative of -v**6/225 + 8*v**5/75 + 3*v**4/5 + 56*v**3/45 + 19*v**2/15 + 82*v + 5. Solve s(a) = 0.
-1, 19
Let v(m) be the second derivative of m**7/42 - m**6/2 + 9*m**5/2 - 45*m**4/2 + 135*m**3/2 - 243*m**2/2 - 19*m - 38. Factor v(y).
(y - 3)**5
What is y in 811 + 2556 + 309*y**2 + 884 + 1133 - 317*y**2 + 10764*y = 0?
-1/2, 1346
Let s(r) be the second derivative of -r**10/40320 + r**8/4480 - r**6/960 + 7*r**4/6 - 65*r. Let b(u) be the third derivative of s(u). Solve b(o) = 0.
-1, 0, 1
Let j(m) be the first derivative of -m**3 + 27/2*m**2 - 94 - 42*m. Let j(v) = 0. Calculate v.
2, 7
Suppose 0 = 22*r - 1140 + 1030. Let z = 16/15 + 41/60. What is h in 1/2*h**2 - 3*h**4 + z*h**r + 0*h + 0 + 3/4*h**3 = 0?
-2/7, 0, 1
Let z = 3757/2748 + -294/229. Let i(s) be the first derivative of -1/2*s**2 - 26 - z*s**3 + 1/16*s**4 + s. Determine j so that i(j) = 0.
-2, 1, 2
Let o(a) be the second derivative of -a**6/20 + 6*a**5/5 - 29*a**4/4 - 30*a**3 + 2025*a**2/4 - 1195*a. Solve o(q) = 0.
-3, 5, 9
Let v(j) be the second derivative of 2*j**6/5 + 969*j**5/20 - 409*j**4/4 + 41*j**3 + 5*j + 230. Find r such that v(r) = 0.
-82, 0, 1/4, 1
Let x be 6/45 + 16/(480/86). Let h(v) be the third derivative of 0 - 14/9*v**5 - 16/9*v**3 + 26/9*v**4 + 0*v - x*v**2 - 49/90*v**6. Let h(z) = 0. Calculate z.
-2, 2/7
Let s = 116648 + -583239/5. Factor 0*k + 2/5*k**3 + 0*k**2 + 0 - 1/5*k**4 - s*k**5.
-k**3*(k - 1)*(k + 2)/5
Let i(j) be the second derivative of -j**7/84 - 29*j**6/40 + 17*j**5/10 + 7*j**4/8 - 67*j**3/12 + 45*j**2/8 + 49*j + 3. Let i(z) = 0. Calculate z.
-45, -1, 1/2, 1
Let l(w) = w**4 + w**3 - w**2 - w. Let r(g) = 16*g**4 - 432*g**3 + 1296*g**2 - 1312*g + 432. Let q(k) = -12*l(k) + r(k). Factor q(d).
4*(d - 108)*(d - 1)**3
Let u = -27944 + 27948. Factor 0*i + 1/2*i**u + 0 + 0*i**2 + 3*i**3.
i**3*(i + 6)/2
Let c(h) = 7*h**5 - 7*h**4 - 8*h**3 + 18*h**2 - 5*h. Let q(t) = 3*t**5 - 3*t**4 - 5*t**3 + 9*t**2 - 2*t. Let y(j) = -2*c(j) + 5*q(j). Factor y(r).
r**2*(r - 3)*(r - 1)*(r + 3)
Let u(i) be the third derivative of i**5/150 + 11*i**4/10 - 3538*i**2. Factor u(g).
2*g*(g + 66)/5
Let t(g) be the third derivative of -g**5/30 - 25*g**4/4 - 146*g**3/3 + 2001*g**2. Determine y so that t(y) = 0.
-73, -2
Suppose -f + 206 - 201 = 0, 10 = 2*d + 2*f. Let i(b) be the second derivative of -4*b + 3/2*b**2 - 3/4*b**3 + d + 1/8*b**4. Factor i(x).
3*(x - 2)*(x - 1)/2
Let d(z) = -75*z**3 + 10610*z**2 + 7235*z - 3600. Let t(r) = -19*r**3 + 2650*r**2 + 1809*r - 900. Let s(b) = -4*d(b) + 15*t(b). Factor s(h).
5*(h - 180)*(h + 1)*(3*h - 1)
Let o be (-80)/(-72) + 112/126. Factor -2/3*w**4 + 972*w + 20*w**3 - 1458 - 216*w**o.
-2*(w - 9)**3*(w - 3)/3
Let p = 280841/10 + -28084. Let y(b) be the second derivative of 0 + 0*b**2 - 2/3*b**3 + p*b**5 - 1/6*b**4 - 2*b. Determine i, given that y(i) = 0.
-1, 0, 2
Let z(l) = -l + 2*l + 86 - 2*l - 27. Let n be z(57). Find q, given that -4 + q**n + 2*q - 1/2*q**3 = 0.
-2, 2
Let o(y) be the second derivative of -y**4/84 + 451*y**3/42 - 225*y**2/7 + 970*y. Factor o(x).
-(x - 450)*(x - 1)/7
Suppose 460 = 6*i + j + 439, 5*i = 5*j - 35. Factor 0 + 0*x + 2/3*x**5 + 4/3*x**i + 8/3*x**4 + 10/3*x**3.
2*x**2*(x + 1)**2*(x + 2)/3
Let w(o) be the second derivative of -o**5/70 - 19*o**4/21 - 53*o**3/7 + 198*o**2/7 + 2784*o. Factor w(u).
-2*(u - 1)*(u + 6)*(u + 33)/7
Factor -3/7*j**2 + 54/7*j + 0.
-3*j*(j - 18)/7
Suppose 10*u - 68/3 + 2/3*u**2 = 0. Calculate u.
-17, 2
Suppose -4 = n, 2*n = -2*c - 0*n + 28. What is b in -10*b**2 - 4*b**3 + 2*b**2 - c*b + b**3 - 13*b**2 = 0?
-6, -1, 0
Let l(v) be the third derivative of -v**5/300 - 4*v**4/15 - 31*v**3/30 + 2*v**2 - 81*v. Factor l(a).
-(a + 1)*(a + 31)