y(l) = a*c(l) - 2*w(l). Factor y(f).
-2*f*(3*f + 1)
Let g(s) = -7*s**3 - 12*s**2 - 21*s - 7. Let z(v) = -3*v**3 - 6*v**2 - 11*v - 4. Let j(x) = -4*g(x) + 9*z(x). Factor j(d).
(d - 8)*(d + 1)**2
Factor -1/2*j**5 - j**2 + 0*j**4 + 2*j**3 - 3/2*j + 1.
-(j - 1)**3*(j + 1)*(j + 2)/2
Let b be (((-9)/252)/((-1)/(-12)))/(-2 - -1). Solve b + 4/7*d + 1/7*d**2 = 0.
-3, -1
Let i(j) be the third derivative of -j**7/140 + j**6/80 + 3*j**5/20 + j**2 + 10. Determine r so that i(r) = 0.
-2, 0, 3
Let c(o) be the first derivative of -9*o**6/2 - 6*o**5/5 - 24. Factor c(j).
-3*j**4*(9*j + 2)
Let l(z) be the third derivative of z**8/21 + 2*z**7/7 - 4*z**6/15 - z**5 + 2*z**4/3 + z**2 + 180*z. Let l(y) = 0. What is y?
-4, -1, 0, 1/4, 1
Let r(s) be the third derivative of s**8/336 + s**7/105 - s**6/15 - 4*s**5/15 + 2*s**4/3 + 16*s**3/3 - 37*s**2. Find y, given that r(y) = 0.
-2, 2
Let w = -102698/25 + 4108. Factor -2/25*s**2 + 2/25*s + w - 2/25*s**3.
-2*(s - 1)*(s + 1)**2/25
Let z be (8/(-35))/(620/(-1550)). Factor z + 22/7*n**2 + 26/7*n.
2*(n + 1)*(11*n + 2)/7
Suppose 6*j - 3*l + 6 = 9*j, j = -3*l. Let q be (-9)/(-5) + (-5)/(-25). Factor 1/4*t**5 - 1/2*t**j - 1/4 + 1/2*t**q + 1/4*t - 1/4*t**4.
(t - 1)**3*(t + 1)**2/4
Factor -1225/2*y**2 + 0 + 1085/4*y**3 + 1/4*y**5 + 17*y**4 + 0*y.
y**2*(y - 2)*(y + 35)**2/4
Let x(h) = -h**2 + 2. Let p(w) = -1. Let j(s) = 4*p(s) - x(s). Let m be j(3). Let 6*a - 27*a**2 - 2*a**3 - a**m + 6 + 21*a**2 - 3*a = 0. What is a?
-2, -1, 1
Let k(m) = -m - 9. Let b be k(9). Let d be (-1)/2 + (-9153)/b. What is h in d*h - 508*h + 2*h**2 - 8 = 0?
-2, 2
Suppose -57*x - 10 = -59*x. Let h(s) be the third derivative of 0*s + 0 - 1/120*s**x + 1/24*s**4 + 3*s**2 - 1/12*s**3. Solve h(y) = 0.
1
Let a(c) be the first derivative of 0*c**3 + 4*c + 2 + 1/6*c**2 + 0*c**5 - 1/18*c**4 + 1/90*c**6. Let q(y) be the first derivative of a(y). Factor q(i).
(i - 1)**2*(i + 1)**2/3
Let i(z) be the third derivative of z**6/24 + 2*z**5/3 - 25*z**4/6 + 99*z**2 - 2. Find q, given that i(q) = 0.
-10, 0, 2
Let q(j) = -7*j**3 - 17*j**2 + 55*j - 31. Let z(n) = -10*n**3 - 26*n**2 + 82*n - 46. Let b(s) = 7*q(s) - 5*z(s). Factor b(v).
(v - 1)**2*(v + 13)
Suppose 4*f + 14*r - 5 = 17*r, 3 = -f + 5*r. Let d(q) be the second derivative of 0 + 1/3*q**f - 7*q + 1/27*q**3 - 1/90*q**5 - 1/18*q**4. Solve d(a) = 0.
-3, -1, 1
Suppose -17/2*l + 1/2*l**4 + 3 + 17/2*l**2 - 7/2*l**3 = 0. Calculate l.
1, 2, 3
Let u(b) be the third derivative of -b**8/3864 + b**7/483 - 7*b**6/1380 + b**5/230 - b**2 + 78*b. Factor u(g).
-2*g**2*(g - 3)*(g - 1)**2/23
Let a be ((3 - 3) + 5)/1. Suppose -a*s - 3*h = 5, -3*h - 7 = -5*s + 18. Factor 9*b + 4*b**2 - b**s + 0*b + 6.
3*(b + 1)*(b + 2)
Let o be 26/6 + 6/9. Find x, given that 15*x**2 + x - 6*x + o - 5*x**3 - 10*x = 0.
1
Let w(z) be the third derivative of z**6/960 - z**5/480 - 45*z**2. Factor w(b).
b**2*(b - 1)/8
Suppose -t + 6*t - 7 = -f, t = -2*f + 5. Suppose 12*g**f + 0*g**2 - 7*g - 21*g - 24 = 0. Calculate g.
-2/3, 3
Let n(o) be the first derivative of 2*o**4/11 - 64*o**3/11 - 9*o**2 - 50*o/11 + 373. Solve n(h) = 0 for h.
-1/2, 25
Factor -2*m**5 + 6*m - 4*m**3 - 120444*m**2 + 120428*m**2 + 16*m**3.
-2*m*(m - 1)**3*(m + 3)
Let n(r) be the third derivative of r**5/90 - 25*r**3/9 - 63*r**2 + r. Let n(l) = 0. What is l?
-5, 5
Suppose 4*d - 14 = 3*o, -5*o - 2*d = 2*d - 30. Factor 7*k**2 + 10*k**3 - 3*k**o + 0*k**2.
2*k**2*(5*k + 2)
Let r(v) be the third derivative of 3*v**7/2240 - v**6/960 - v**5/160 - 19*v**3/3 + 35*v**2. Let y(j) be the first derivative of r(j). Let y(c) = 0. What is c?
-2/3, 0, 1
Determine a so that 36/5*a**2 - 123/5*a - 3/5*a**3 + 126/5 = 0.
2, 3, 7
Factor 0 + 9 - 10 - 4*q**2 + 30 + 23 + 48*q.
-4*(q - 13)*(q + 1)
Factor -36/7*n**2 - 24/7*n**3 + 0*n - 4/7*n**4 + 0.
-4*n**2*(n + 3)**2/7
Let w(q) be the third derivative of 7*q**5/160 + 41*q**4/32 + 75*q**3/16 - 825*q**2. Let w(p) = 0. What is p?
-75/7, -1
Let z(y) = y**3 - y**2 + y. Let i(r) = -6*r**3 - 52*r**2 - 61*r. Let h(b) = -i(b) - 5*z(b). What is g in h(g) = 0?
-56, -1, 0
Suppose 4*k - 9*k + 20 = 0. Let w(m) = -m**3 - 13*m**2 - 12*m + 6. Let q be w(-12). Factor k*f**2 + 2*f + 4*f**3 - 16*f**2 + q*f.
4*f*(f - 2)*(f - 1)
Suppose 24*a - 213 = -47*a. Let 2/3*r**a + 0*r + 0 - 2/3*r**2 = 0. What is r?
0, 1
Factor -104*u**2 - 265*u - 23 + 364*u**2 + 5*u**3 + 23.
5*u*(u - 1)*(u + 53)
Solve 77*b + 0 + 12 + 10*b**2 - 7*b + 12*b**2 = 0.
-3, -2/11
Let k be (((-5)/(-1) - 3) + -2)/(-1). Let j(a) be the third derivative of 1/12*a**3 - 1/60*a**5 + 3*a**2 - 1/48*a**4 + 0*a + k. Factor j(x).
-(x + 1)*(2*x - 1)/2
Let g = -10184/3955 + 2/565. Let n = g + 68/21. Find x, given that 2*x**2 + 4/3 - 10/3*x - 2/3*x**4 + n*x**3 = 0.
-2, 1
Let n(k) be the third derivative of -k**6/30 + 19*k**4/6 - 20*k**3 - 2*k**2 + 307*k. Find o such that n(o) = 0.
-5, 2, 3
Let x(g) be the first derivative of 14 - 3/8*g**2 + 0*g - 1/4*g**3. Factor x(s).
-3*s*(s + 1)/4
Factor -15*n - 25*n + 143 - 98 - 5*n**2.
-5*(n - 1)*(n + 9)
Let p(f) = 5*f**2 + 32*f - 229. Let z(u) = -40*u**2 - 255*u + 1835. Let c(h) = 25*p(h) + 3*z(h). Factor c(m).
5*(m - 4)*(m + 11)
Let k(p) be the first derivative of -2*p**6/3 + 16*p**5/15 + 2*p**4/3 - 16*p**3/9 + 2*p**2/3 - 48. Solve k(m) = 0.
-1, 0, 1/3, 1
Let i(m) = -m**3 + m**2 - 6*m - 6. Let d be i(-3). Let r be d/(-36)*6/(-4). Factor -1/6*o**r + 1/6 + 0*o.
-(o - 1)*(o + 1)/6
Let x = -554 - -1684/3. Solve 20/3*v**2 - 2*v + x*v**4 - 2*v**5 - 92/9*v**3 + 2/9 = 0 for v.
1/3, 1
Let p = 31 + -17. Let x be (p/(-8))/(2/(-8)). Factor -l**2 - 6*l**5 + 5*l**2 - 8*l**4 + 9*l**3 - x*l**3.
-2*l**2*(l + 1)**2*(3*l - 2)
Let g(r) = r**3 + 4*r**2 + 10*r + 21. Let b be g(-3). What is o in b*o**2 + 0 + 0*o - 2/11*o**4 + 0*o**3 + 2/11*o**5 = 0?
0, 1
Let y(s) be the first derivative of 28*s**6/3 + 92*s**5 + 113*s**4 - 1988*s**3/3 + 610*s**2 - 200*s + 21. Let y(z) = 0. Calculate z.
-5, 2/7, 1/2, 1
Suppose 5*i - 6 = 2*m, 3*m = 5*i - i + 5. What is c in 55*c**4 + 24 + 12*c - 30*c**2 - 8*c**3 - m*c**3 + 3*c**5 - 49*c**4 = 0?
-2, -1, 1, 2
Determine m, given that 800/3*m + 268/3 + 256/3*m**3 + 264*m**2 - 4/3*m**4 = 0.
-1, 67
Let r(u) be the first derivative of u**6/3 - 2*u**5/5 - 3*u**4/2 + 2*u**3/3 + 2*u**2 - 35. Factor r(q).
2*q*(q - 2)*(q - 1)*(q + 1)**2
Let u = 47 + -45. Let g be ((-6)/(-3) - -4)/u. Solve -1/3*o + 1/3*o**g + 1/3*o**2 - 1/3*o**4 + 0 = 0 for o.
-1, 0, 1
Let d be 2 + (-6)/4 + 1. Suppose 0 = -4*a - 5*v - 2 - 0, -3*a - 3*v = 0. Suppose -d*p**2 - a*p**3 - 1/3*p - 5/6*p**4 + 0 = 0. Calculate p.
-1, -2/5, 0
Suppose 0 = g - 2*l + 5*l - 11, 4*g - 16 = 2*l. Suppose -10*t + g*t = -20. Suppose 4/3*b**t - 2*b - 2/9*b**5 + 4/9 + 32/9*b**2 - 28/9*b**3 = 0. Calculate b.
1, 2
Let u(c) be the third derivative of -c**6/320 + 11*c**5/160 - 35*c**4/64 + 25*c**3/16 + 46*c**2. Suppose u(i) = 0. What is i?
1, 5
Let g(m) be the second derivative of 3*m**5/160 - 3*m**4/32 - m**3/4 + 199*m. Find i, given that g(i) = 0.
-1, 0, 4
Let y be (0/(-12))/((4 + 0)*-1). Suppose y + 0*m**2 - 1/11*m**3 + 1/11*m = 0. What is m?
-1, 0, 1
Let 126*z - 21927*z**3 - 210 + 21932*z**3 - 120*z**2 + 199*z = 0. Calculate z.
1, 2, 21
Let h(n) be the third derivative of 13*n**2 + 0 + 1/30*n**5 + 0*n**3 + 0*n + 1/3*n**4. Find r, given that h(r) = 0.
-4, 0
Suppose 3*o = 8*o - 20. Let a be (2/4)/((-4)/(-16)). Suppose -4*g**4 - 2 + a*g**o + g**2 + 3*g**2 = 0. What is g?
-1, 1
Let n = 104452/3 + -34817. Factor 1/6*q - 1/6*q**3 - 1/3*q**2 + n.
-(q - 1)*(q + 1)*(q + 2)/6
Let i = -19 - -23. Suppose -4*d = d - 15. Solve -6*u**d - 10*u**3 + 25*u**5 + i*u**2 - 2*u**4 + 2*u**4 + 5*u**4 = 0 for u.
-1, 0, 2/5
Let k(w) be the first derivative of 9 + 3/16*w**2 - 3/4*w + 1/8*w**3. Determine b so that k(b) = 0.
-2, 1
Factor 35*z**4 + 2747*z - 1810*z**3 + 17036*z**2 + 718*z + 4586*z + 6104*z**2 - 1291*z.
5*z*(z - 26)**2*(7*z + 2)
Suppose 22 = 19*y - 16. Let h = -9 + 13. Factor -h + 25*a**2 - 24*a**y - 2*a + 4.
a*(a - 2)
Let u = 78 - 50. Let r be (0*(u/(-8) + 3))/(-2). What is n in r + 2/7*n**2 + 4/7*n = 0?
-2, 0
Let r(g) be the second derivative of -7*g - 1/80*g**5 - 1/4*g**3 + 0 + 3/32*g**4 - g**2. Let l(j) be the first derivative of r(j). Factor l(i).
-3*(i - 2)*(i - 1)/4
Let l(u) be the second derivative of -2*u + 2744/3*u**3 - 98*u**4 - 4802*u**2 + 0 + 28/5*u**5 - 2/15