8/13 - 2/13*f**2 - 6628/13*f = 0. What is f?
-1657
Let x = 130 + -126. Factor 2*b**x + 0*b**4 + 259*b**3 - 257*b**3.
2*b**3*(b + 1)
Let v(j) be the third derivative of -3*j**7/56 - 11*j**6/36 - j**5/3 - 128*j**3/3 + 41*j**2 - 4*j. Let x(c) be the first derivative of v(c). Factor x(i).
-5*i*(i + 2)*(9*i + 4)
Factor -26/3 + 1/3*l**3 - 1/3*l + 26/3*l**2.
(l - 1)*(l + 1)*(l + 26)/3
Let t(w) be the second derivative of -4*w**7/189 + 4*w**6/9 - 21*w**5/10 + 73*w**4/27 - 11*w**3/9 + 120*w - 5. What is o in t(o) = 0?
0, 1/2, 3, 11
Let o be ((-190)/(-525)*-5)/(30/(-18) - -1). Let -2/7*r**4 + 6/7*r + 0 - o*r**2 + 15/7*r**3 = 0. Calculate r.
0, 1/2, 1, 6
Determine y so that 723/10*y - 58/5*y**2 - 1/10*y**3 - 549/5 = 0.
-122, 3
Let q(d) = 3*d - 3. Let c(l) = 8*l - 8. Let k(y) = 4*c(y) - 11*q(y). Let n(p) = -10 - p**2 - 8 + 3*p**2 + 16*p. Let u(h) = 28*k(h) + 2*n(h). Factor u(g).
4*(g - 1)*(g + 2)
Suppose 6/11*r**2 + 34444896/11 + 28752/11*r = 0. Calculate r.
-2396
Let z(a) be the second derivative of -a**7/13860 + 5*a**6/264 + 11*a**4/12 + 2*a**2 - 2*a - 65. Let l(v) be the third derivative of z(v). Factor l(s).
-2*s*(s - 75)/11
Let f(h) = -2 - 2*h**3 + 5*h**3 - 2*h**2 - 7*h - 4*h**3 + 8*h. Let y(n) = -3*n**3 - 14*n**2 - 15*n + 16. Let j(l) = -12*f(l) + 3*y(l). Factor j(o).
3*(o - 8)*(o - 1)*(o + 3)
Suppose -10*v + 3 = -5*b - 9*v, 0 = -4*b + 4*v - 12. Let u = 239/574 - -1/82. Factor 0 - u*d**2 + b*d.
-3*d**2/7
Suppose 20*y + 56 = 13*y. Let h be -6 - (2/1 + y). Factor 4/5*n**4 + h - 4/5*n**2 - 4/5*n + 4/5*n**3.
4*n*(n - 1)*(n + 1)**2/5
Find v, given that 2249611*v**2 + 334*v**4 - 34257893 + 11809600*v - 6381453 + 2773429*v**2 - 142528*v**3 - 1952654 - 4*v**5 + 978*v**4 = 0.
-4, 2, 110
Let z = -42689 + 256135/6. Determine y so that 3/2 - 19/6*y + 11/6*y**2 - z*y**3 = 0.
1, 9
Let b(c) = 127*c**3 - 414*c**2 + 17*c + 62. Let o(d) = 6*d + 8*d + 42*d**3 + 3*d - 138*d**2 - 9 - 11*d + 30. Let m(x) = -3*b(x) + 8*o(x). Solve m(g) = 0.
-1/3, 2/5, 3
Factor -75/4*n**2 + 0 + 27/4*n - 5/4*n**4 + 53/4*n**3.
-n*(n - 9)*(n - 1)*(5*n - 3)/4
Let a = 53708 + -161114/3. What is y in 25/3*y**3 + a + 20/3*y**2 - 55/3*y = 0?
-2, 1/5, 1
Let r be 48/136*(-34)/(-6). Factor 1/4*s**r - 1/4*s - 1/2.
(s - 2)*(s + 1)/4
Let o be 93/186 + -3 + 116/24 + 10/(-18). Factor 40/9 - o*n - 2/9*n**2.
-2*(n - 2)*(n + 10)/9
Let l(r) be the second derivative of -r**4/21 + 3512*r**3/21 - 1541768*r**2/7 - r + 323. Factor l(o).
-4*(o - 878)**2/7
Let a(n) = -n**3 + 53*n**2 + 53*n + 56. Suppose -74*g + 324 = -68*g. Let m be a(g). Factor -272/5*d + 324/5*d**3 - 32/5 - 504/5*d**m.
4*(d - 2)*(9*d + 2)**2/5
Let v be 0/(8 + -2) + ((-14)/(-7) - -79). Factor -9*n**2 + v*n - 243 + 1/3*n**3.
(n - 9)**3/3
Let s(v) be the first derivative of -v**4/24 - 2*v**3/9 + 167. Solve s(u) = 0 for u.
-4, 0
Let -1576*l**2 - 17*l - 65*l + 10*l + 1156 - 30*l + 1578*l**2 = 0. What is l?
17, 34
Let v = -19 - -22. Let r = -105 + 109. Factor -10*z + 8*z**v + r - z + 3*z - 4*z**4.
-4*(z - 1)**3*(z + 1)
Let j(i) = -8*i - 702. Let m be j(-88). Let l(q) be the first derivative of 0*q - 1/8*q**4 + 19 - 1/6*q**3 + 1/4*q**m + 1/10*q**5. Factor l(r).
r*(r - 1)**2*(r + 1)/2
Let w(h) be the third derivative of 1/8*h**4 - 12*h**2 + 2*h - 1/1260*h**7 + 9/4*h**3 - 1/40*h**6 - 2/9*h**5 + 0. Let w(n) = 0. Calculate n.
-9, -1, 1
Suppose 3*h - 96 - 25 = 2*d, -3*h - 2*d + 137 = 0. Find j, given that -968 - 308*j + 163*j**2 - h*j**3 - 49*j**3 - j**2 + 402*j**2 + 4*j**4 = 0.
-1, 2, 11
Find s, given that 0 - 4/3*s**2 - 8/9*s**3 + 1/9*s**5 + 16/9*s + 1/3*s**4 = 0.
-4, -2, 0, 1, 2
Let o(f) be the third derivative of 4/3*f**3 + 6*f**2 - 1/600*f**6 - f + 3/10*f**4 + 0 + 1/50*f**5. Factor o(c).
-(c - 10)*(c + 2)**2/5
Let u(v) be the first derivative of -7*v**6/3 - 1292*v**5/5 - 177*v**4/2 + 1292*v**3/3 + 184*v**2 + 4645. Determine f so that u(f) = 0.
-92, -1, -2/7, 0, 1
Let a = 402 - 398. Suppose g + 5*g - 67*g**a - 15*g**2 + 7*g**3 + 5*g**3 + 64*g**4 = 0. Calculate g.
0, 1, 2
Let o(u) be the third derivative of -3*u**6/220 - u**5 + 3*u**2 + 1355*u. Determine s so that o(s) = 0.
-110/3, 0
Let h(l) be the second derivative of -l**4/72 - l**3/6 + 91*l**2/12 - 12*l + 143. Factor h(k).
-(k - 7)*(k + 13)/6
Let t(h) be the first derivative of h**7/840 - h**6/360 + 4*h**3/3 - 3*h - 27. Let j(z) be the third derivative of t(z). Factor j(p).
p**2*(p - 1)
Let w = 640 - 1916/3. Suppose 9 = 5*z + r, -5*z = -2*z + 4*r - 2. Factor -w*h**3 + 2/9*h**4 + 0 + z*h**2 - 8/9*h.
2*h*(h - 4)*(h - 1)**2/9
Let j(s) be the third derivative of s**8/840 + 17*s**7/525 - 3*s**6/50 + s**2 - 399. Factor j(y).
2*y**3*(y - 1)*(y + 18)/5
Let d be 4/6 + ((-1280)/(-15))/(-8). Let b(n) = -6*n**3 - 7*n**2 + 2*n - 9. Let x(f) = f**3 + f**2 + f + 1. Let i(v) = d*x(v) - 2*b(v). Solve i(t) = 0.
-4, 1
Let l = -110307 + 110307. Let 0*t**2 - 1/7*t**5 - 2/7*t**3 + 0 + l*t + 3/7*t**4 = 0. What is t?
0, 1, 2
Factor 376*b - 3*b**2 - 53868 + 783*b - 355*b.
-3*(b - 134)**2
Let z(b) = 12*b**2 - 1476*b + 265012. Let h(i) = -i**2 + 2*i - 2. Let a(c) = 20*h(c) + 2*z(c). Factor a(p).
4*(p - 364)**2
Factor 94*u**2 - 13*u**3 + 0 + 1/2*u**4 - 140*u.
u*(u - 14)*(u - 10)*(u - 2)/2
Factor -146/3*b - 5329/3 - 1/3*b**2.
-(b + 73)**2/3
Suppose 10*y - 1082 - 3078 = 0. Let j be (-5)/(420/y)*9/(-12). Factor 8/7 + j*o**2 - 32/7*o - 6/7*o**3.
-2*(o - 2)**2*(3*o - 1)/7
Suppose 4*u = -u + 40. Let o be 18/4 + 12/u. Factor 5 + o + 15*f + 5*f**2 - 1.
5*(f + 1)*(f + 2)
Let x(c) = -c**3 - c**2 - 2. Let p be x(-2). Let d = -391 - -395. Factor 5*k**4 - 4*k**d - 8*k**2 + 6*k**p - k**3.
k**2*(k - 2)*(k + 1)
Let q(k) be the third derivative of -k**6/600 + k**4/40 + k**3/15 - 3*k**2 + 57. What is f in q(f) = 0?
-1, 2
Let p(i) be the third derivative of -i**7/1155 - 7*i**6/660 + i**5/330 + 7*i**4/132 - 2560*i**2. Suppose p(l) = 0. What is l?
-7, -1, 0, 1
Let t(k) be the third derivative of k**7/945 - 37*k**6/135 + 568*k**5/135 - 560*k**4/27 - 4113*k**2. Factor t(a).
2*a*(a - 140)*(a - 4)**2/9
Let k(m) be the second derivative of 0 - 1/108*m**4 - 5/9*m**3 - 25/2*m**2 - 42*m. Factor k(t).
-(t + 15)**2/9
Let o be (1/(-4))/(232/32 - 7). Let q(p) = -p**2 + p - 1. Let v(t) = -4*t**4 - 156*t**3 - 1741*t**2 - 4171*t - 2597. Let y(d) = o*v(d) + 5*q(d). Factor y(c).
4*(c + 1)*(c + 2)*(c + 18)**2
Let h(u) be the second derivative of -u**9/5040 - 3*u**8/1120 + 7*u**4/4 + 7*u**3/6 + 172*u. Let f(o) be the third derivative of h(o). Factor f(a).
-3*a**3*(a + 6)
Let r(m) be the first derivative of 67 + 18*m**2 - 4/3*m**3 + 88*m. Let r(u) = 0. Calculate u.
-2, 11
Let b(i) be the second derivative of -i**8/336 + 2*i**7/105 - i**6/30 - 13*i**2/2 - 54*i. Let y(z) be the first derivative of b(z). Factor y(s).
-s**3*(s - 2)**2
Suppose 3*r = -u + 13, 0 = -5*u + 17*r - 15*r - 3. Let d be (-10)/u*(-186)/620. Let -3/5*b**4 + 3*b**d + 12/5*b + 0 - 24/5*b**2 = 0. Calculate b.
0, 1, 2
What is w in 324/5 - 558/5*w - 42/5*w**3 + 2/5*w**4 + 274/5*w**2 = 0?
1, 2, 9
Suppose 2 + 1 = -3*g, 3*c + 4*g = 5. Find q such that -42*q + 0*q**c + 6*q**2 + 3*q**3 + 27*q - 18 = 0.
-3, -1, 2
Let y(z) be the first derivative of -z**4/2 + 30*z**3 - 375*z**2 - 6250*z + 2496. Factor y(u).
-2*(u - 25)**2*(u + 5)
Let r be (-5)/(-2)*(670 - 14). Factor 7 + 5935*m**3 - 5530*m**3 - 187 + r*m - 1236*m**2 - 2589*m**2.
5*(m - 9)*(9*m - 2)**2
Let l(y) be the third derivative of y**5/300 + 181*y**4/120 - 9*y**2 - 70. Factor l(a).
a*(a + 181)/5
Let o(c) be the third derivative of 39*c**4/2 + 13*c**3/6 - 8*c**2. Let w be o(3). Solve -w*f**2 + 1417*f**2 - 2 - 4*f + 2*f**4 + 4*f**3 = 0.
-1, 1
Let s(x) be the first derivative of x**7/189 - x**6/135 - 2*x**5/45 + 2*x**4/27 - 37*x - 36. Let w(c) be the first derivative of s(c). Let w(y) = 0. What is y?
-2, 0, 1, 2
Let l(x) be the first derivative of x**6/18 - 23*x**5/15 + 20*x**4/3 - 76*x**3/9 + 717. Solve l(d) = 0.
0, 2, 19
Let t = 370 - 350. Factor -84 + t*w - 65*w + w**2 - 52*w + 15*w + w**2.
2*(w - 42)*(w + 1)
Let b(y) = -3*y**2 + 464*y - 18252. Let h(g) = -12*g**2 + 1857*g - 73008. Let v(c) = -15*b(c) + 4*h(c). Factor v(r).
-3*(r - 78)**2
Let r(f) be the second derivative of -f**6/135 + 7*f**5/30 + f**4/2 - 113*f**3/27 + 22*f**2/3 + 29*f + 26. Determine s so that r(s) = 0.
-3, 1, 22
Let g(c) = 2*c**3 + c**2 + 3. Let d(h) = -15*h**3 - 45*h**2 + 51*h + 63