f(n). Factor x(b).
(b - 1)*(b + 1)*(b + 2)
Let p(d) = 2*d**2 - 2*d + 2. Let h(c) = 3 + 4*c**2 + 4 - 2*c - c - 3. Let l(m) = -6*h(m) + 11*p(m). Factor l(n).
-2*(n + 1)**2
Let i(g) = -g**3 + 3*g**2 + g - 3. Let t be i(3). Let u be t + (0 - (-1)/5). Find p such that u*p**2 + 1/5 - 2/5*p = 0.
1
Determine x, given that -2/3*x**3 - x**2 + 0 + 0*x + 1/3*x**4 = 0.
-1, 0, 3
Suppose -4*y + 102 = 47*y. Solve 1/3*l**3 + 0 + 0*l - 1/3*l**y = 0 for l.
0, 1
Let j(b) = -b**3 + b**2. Let t(r) = 12*r**4 + 54*r**3 - 114*r**2 + 48*r. Let i(x) = 2*j(x) + t(x). Factor i(a).
4*a*(a - 1)*(a + 6)*(3*a - 2)
Suppose -2*p + 2*k = 2*p + 26, -k = -5*p - 31. Let w be p/54*(-2 + 1)*4. Let -4/9*l**3 - 4/9*l**4 + 2/9*l**5 - 14/9*l + 16/9*l**2 + w = 0. Calculate l.
-2, 1
Let l(i) = -i**2 + 11*i - 25. Let c be l(6). Factor 0*v**4 + 0*v**2 - 4/5*v**3 + 2/5*v + 0 + 2/5*v**c.
2*v*(v - 1)**2*(v + 1)**2/5
Suppose 53*l**3 + 859 + 491 - 54*l**3 + 426 - 2024*l + 340 - 91*l**2 = 0. What is l?
-46, 1
Suppose 0 = 4*q, -x + 15 = -6*x - q. Let n(b) = -2*b**2 - 4*b. Let z(g) = 3*g**2 + 5*g. Let h(o) = x*z(o) - 4*n(o). Solve h(r) = 0 for r.
0, 1
Let 339*n**2 - 335*n**2 + 74 + 158 + 124*n = 0. What is n?
-29, -2
Let h(p) be the first derivative of 3/13*p**2 + 0*p + 1/26*p**4 - 10/39*p**3 + 2/65*p**5 - 11. Factor h(x).
2*x*(x - 1)**2*(x + 3)/13
Factor -107*d - 56*d + 4*d**2 - 116 + 51*d.
4*(d - 29)*(d + 1)
Let d = -49/6 + 257/30. Let k be (-2)/(-2*10/4). Factor d - 2/5*a**2 - k*a + 2/5*a**3.
2*(a - 1)**2*(a + 1)/5
Let l(a) be the first derivative of 22*a**3/21 + 24*a**2/7 + 8*a/7 - 36. Determine u, given that l(u) = 0.
-2, -2/11
Suppose -4*o = -3*v + 49 + 68, o = -v - 31. Let m be (-21)/(-49) + o/(-28). Solve 21*h**3 + 9/2 + m*h**2 - 15*h = 0 for h.
-1, 3/7, 1/2
Let t = -10 + 12. Suppose 4*f = -t*v + 510 + 418, v - f - 479 = 0. Suppose 324 + 145*d**2 + 4*d**4 - v*d + 42*d - 48*d**3 + 71*d**2 = 0. Calculate d.
3
Let r(y) = y**3 + 28*y**2 + 189*y - 44. Let m be r(-16). Determine b so that 196 - 184*b**2 - 4/7*b**5 + 84*b - 584/7*b**3 - 12*b**m = 0.
-7, -1, 1
Let a = -14 + 16. Solve -40*s + 3 - 203 - 3*s**a + s**2 = 0 for s.
-10
Let q(a) be the first derivative of -7/15*a**5 + 1/9*a**6 + 0*a + 2 + 0*a**2 + 4/9*a**3 + 1/3*a**4. Let q(u) = 0. What is u?
-1/2, 0, 2
Let x(y) be the first derivative of -12*y**5/5 + 17*y**4 - 28*y**3 + 6*y**2 + 16*y + 104. Suppose x(z) = 0. Calculate z.
-1/3, 1, 4
Let f(r) = -14*r - 94. Let w be f(-7). Let x(h) = h**3 - 2*h**2 - 7*h - 1. Let i be x(w). Factor 0 + 1/2*o**i + 1/4*o**4 + 1/4*o**2 + 0*o.
o**2*(o + 1)**2/4
Let o be (-5)/20 - (-265)/20. Suppose -16*l = -o*l - 9. What is a in 10/13*a**l + 2/13*a**4 + 4/13 + 14/13*a + 18/13*a**2 = 0?
-2, -1
Let x(g) be the third derivative of 0 - 4/9*g**3 + 0*g - 1/36*g**6 - 4/9*g**4 - 17/90*g**5 - 3*g**2. What is o in x(o) = 0?
-2, -1, -2/5
Let w(k) be the third derivative of -k**7/280 - k**6/420 - 41*k**3/6 + 15*k**2. Let d(p) be the first derivative of w(p). Factor d(q).
-3*q**2*(7*q + 2)/7
Let h be (-20)/8*(-692)/763 + -2. Let t = h - -2/109. Solve t*g**4 - 2/7*g**3 + 0 + 0*g - 2/7*g**2 + 2/7*g**5 = 0.
-1, 0, 1
Suppose -62 = -11*s + 9*s. Factor -s*l**2 - 256 + 64*l + 4*l**3 + 30*l - 17*l**2 + 98*l.
4*(l - 4)**3
Factor -19/2*m**2 + 5/4*m**3 - 181/4*m - 33/2.
(m - 11)*(m + 3)*(5*m + 2)/4
Let a be (-595)/(-1071)*(-9)/15 - (-22)/30. Factor 0 + 0*k + 1/5*k**5 + 0*k**2 + 1/5*k**3 + a*k**4.
k**3*(k + 1)**2/5
Let z be (4/5)/((-420)/(-150)). Solve 4/7 - 16/7*k**2 + z*k + 10/7*k**3 = 0 for k.
-2/5, 1
Let n(r) be the third derivative of -1/30*r**4 + 0 - 5*r**2 + 0*r**3 - 2/525*r**7 - 1/50*r**6 + 0*r - 1/25*r**5. Factor n(l).
-4*l*(l + 1)**3/5
Factor -64/3 - 48*b + 13*b**2 + 169/3*b**3.
(b - 1)*(13*b + 8)**2/3
Let 2*r**5 + 0*r**5 + 12*r + 36*r**3 + 3*r + r + 40*r**2 + 14*r**4 = 0. Calculate r.
-2, -1, 0
Let t be 2*(-7)/(112/(-24)). Let g(r) be the second derivative of 5*r + 1/2*r**2 - 1/12*r**4 + 0*r**t + 0. Factor g(n).
-(n - 1)*(n + 1)
Let l(v) be the third derivative of -v**5/20 - 9*v**4/8 + 2*v**2 - 10*v. Factor l(r).
-3*r*(r + 9)
Let l(u) be the third derivative of u**6/25 + 17*u**5/75 - u**4/10 + 114*u**2. Factor l(k).
4*k*(k + 3)*(6*k - 1)/5
Let q(a) = -a**2 - a - 1. Let d(m) = -m**5 - 3*m**4 + 2*m**3 + 2*m**2 - 5*m - 7. Let z(s) = -d(s) + 4*q(s). Factor z(i).
(i - 1)**2*(i + 1)**2*(i + 3)
Let x(d) be the third derivative of d**5/30 - 3*d**3 + 71*d**2. Solve x(u) = 0 for u.
-3, 3
Let i(q) = 2*q**4 - 29*q**3 + 45*q**2 - 25*q + 7. Let w(k) = k**4 - 14*k**3 + 22*k**2 - 12*k + 3. Let h(f) = -3*i(f) + 7*w(f). Factor h(s).
s*(s - 9)*(s - 1)**2
Let s(n) be the second derivative of n**5/22 - 7*n**4/11 + 17*n**3/11 - 14*n**2/11 + 47*n - 1. Factor s(f).
2*(f - 7)*(f - 1)*(5*f - 2)/11
Let n(v) = -v - 1. Suppose 4*c = -6 + 14. Let a(z) = 2*z**2 - 28*z - 18. Let j(h) = c*a(h) - 44*n(h). Solve j(t) = 0.
1, 2
Let t(u) be the third derivative of -u**6/1020 - 13*u**5/510 - 4*u**4/51 + 64*u**3/17 - 80*u**2 + 2. Solve t(z) = 0 for z.
-8, 3
Let u(h) be the second derivative of 5*h + 0*h**3 - 3/80*h**5 - 1/48*h**4 - 1/40*h**6 + 0*h**2 - 1/168*h**7 + 0. Factor u(g).
-g**2*(g + 1)**3/4
Suppose -13*a - 2*a**3 + 15*a + 0*a = 0. What is a?
-1, 0, 1
Let k(n) = -3*n**4 + 67*n**3 - 579*n**2 + 925*n - 443. Let i(p) = p**4 - 22*p**3 + 193*p**2 - 308*p + 148. Let y(h) = 11*i(h) + 4*k(h). Factor y(f).
-(f - 12)**2*(f - 1)**2
Suppose 0 = 34*x - 7 - 163. Let d(q) be the second derivative of -1/12*q**4 + 0*q**2 + 1/30*q**6 + 0*q**5 + 0 + x*q + 0*q**3. Find s, given that d(s) = 0.
-1, 0, 1
Suppose 0 + 0 = -w. Find f such that -3*f**2 + w*f**2 - 2*f**3 + 42*f - 60*f + 5*f**3 = 0.
-2, 0, 3
Let p(f) = 6591*f**3 - 1518*f**2 + 114*f - 3. Let j(a) = 6591*a**3 - 1519*a**2 + 115*a - 3. Let h(d) = -3*j(d) + 2*p(d). Let h(v) = 0. What is v?
1/13
Find t such that -2/11*t**3 - 108/11 - 90/11*t - 24/11*t**2 = 0.
-6, -3
Let s(n) be the first derivative of 1/12*n**4 - 1/18*n**6 - 1/15*n**5 + 1/9*n**3 + 6 + 0*n + 0*n**2. Find m such that s(m) = 0.
-1, 0, 1
Let x(d) be the third derivative of 841*d**7/2100 - 116*d**6/75 + 599*d**5/300 - 4*d**4/5 + 3*d**3/20 + 256*d**2. Let x(p) = 0. Calculate p.
3/29, 1
Let c be (-1)/((-40)/(-96)) - (-1 + -5). Factor 2/5*v**3 + 0 - 12/5*v**2 + c*v.
2*v*(v - 3)**2/5
Suppose -63 = 25*b - 213. Let p(i) be the second derivative of 1/32*i**4 + 0*i**5 + 12*i + 0 - 1/80*i**b + 0*i**2 + 0*i**3. Factor p(v).
-3*v**2*(v - 1)*(v + 1)/8
Let o = 18691/14025 + 3/4675. What is u in -o*u**3 + 3*u - u**2 - 2/3 = 0?
-2, 1/4, 1
Let a(q) be the second derivative of -1/48*q**3 - 3*q + 0 + 1/96*q**4 + 0*q**2. Factor a(f).
f*(f - 1)/8
Find a such that 10/3*a**3 - 142/3*a + 119/3*a**2 + 13/3 = 0.
-13, 1/10, 1
Suppose -u + 0 + 4/3*u**2 - 1/3*u**3 = 0. What is u?
0, 1, 3
Let v(q) be the second derivative of q**6/12 + 2*q**5/5 + 13*q**4/24 + q**3/6 + 6*q. Factor v(p).
p*(p + 1)*(p + 2)*(5*p + 1)/2
Factor -2/5*c**2 - 106/5*c - 104/5.
-2*(c + 1)*(c + 52)/5
Suppose 0 = 3*x + 3*o + 21, -4*o - 4 = -3*x + x. Let z = x + 22/5. Factor -1/5*b**3 + z*b**2 - 2/5 + 1/5*b.
-(b - 2)*(b - 1)*(b + 1)/5
Factor -3*q**2 + 4293 - 4293 - 3*q**3.
-3*q**2*(q + 1)
Let r = 704 - 700. Factor -2/5*u**2 - 8/5*u**r + 0*u + 2*u**3 + 0.
-2*u**2*(u - 1)*(4*u - 1)/5
Let v(m) be the first derivative of 0*m**3 + 1/84*m**4 - 4 + 1/105*m**5 + 0*m + 5/2*m**2. Let w(h) be the second derivative of v(h). Factor w(l).
2*l*(2*l + 1)/7
Let i = 82/63 + -64/63. Suppose -i*v**3 + 0*v**2 + 0 + 2/7*v = 0. What is v?
-1, 0, 1
Let y(i) = 11*i**2 - 336*i + 4704. Let r(x) = 39*x**2 - 1176*x + 16464. Let s(m) = 5*r(m) - 18*y(m). Factor s(c).
-3*(c - 28)**2
Let b(j) be the second derivative of 0*j**2 - 18*j - 3/40*j**5 - 1/60*j**6 + 0 + 0*j**3 - 1/12*j**4. Factor b(x).
-x**2*(x + 1)*(x + 2)/2
Let a(z) be the second derivative of -363*z**7/5 + 1034*z**6/25 + 7331*z**5/50 - 1547*z**4/15 + 292*z**3/15 - 8*z**2/5 + 2*z + 2. Find x, given that a(x) = 0.
-1, 2/33, 2/7, 1
Solve -3*l - 37*l**3 + 2*l - 40*l**3 - 3*l + 6*l**2 + 75*l**3 = 0 for l.
0, 1, 2
Let d(z) be the second derivative of z**6/90 - z**5/15 - 19*z**4/36 - 7*z**3/9 + 3*z - 23. Determine g, given that d(g) = 0.
-2, -1, 0, 7
Let i(j) be the third derivative of j**7/315 + 7*j**6/270 + j**5/54 - 7*j**4/54 - 8*j**3/27 + 2*j**2 + 38*j. Suppose i(k) = 0. Calculate k.
-4, -1,