erivative of -3/40*l**6 + 8*l**2 + 0 + 0*l**4 + w*l**7 + 1/20*l**5 + 0*l**3 + 0*l - 1/112*l**8. Factor y(t).
-3*t**2*(t - 1)**3
Let w = 36885 - 36885. Factor 0 + 2/17*h**2 + w*h - 2/17*h**3.
-2*h**2*(h - 1)/17
Let s(k) = -4*k**4 - 10*k**3 + 10*k**2 - 2*k. Let f(a) = a + a**3 + a + a**2 - a + 0*a. Let v(l) = -2*f(l) - s(l). Let v(n) = 0. Calculate n.
-3, 0, 1
Let c(k) be the third derivative of -k**7/210 + k**6/30 + k**5/20 - 5*k**4/12 - 4*k**3/3 - 11*k**2. Let c(t) = 0. What is t?
-1, 2, 4
Suppose 4*u + 257 = r + 254, 5*u = 3*r - 9. Factor 1/3*s**r - 1/3*s - 1/3*s**2 + 1/3.
(s - 1)**2*(s + 1)/3
What is h in -4095*h**3 - 3/2*h**5 + 255/2*h**4 + 59535*h**2 + 583443/2 - 694575/2*h = 0?
1, 21
Factor -171*n**2 + 2*n**4 + 60*n**2 - 209*n**2 - 220*n + 41*n**3 + 3*n**4 - 136*n**3.
5*n*(n - 22)*(n + 1)*(n + 2)
Let d be (8/20)/(6 + 462/(-110)). Let 22/9*m**3 + 52/9*m + d*m**4 - 2/9*m**5 - 16/9 - 58/9*m**2 = 0. Calculate m.
-4, 1, 2
Let h = 112/9 + -611/45. Let t = 2/3 - h. Determine g so that 4/5*g + 4/5*g**2 - 9/5*g**4 + 0 - t*g**3 = 0.
-1, -2/3, 0, 2/3
Suppose -3*l = -6*l + 24. Find b, given that -l*b**5 - 5 - 50*b**3 - 104*b**2 - 50*b**4 + 3 - 58*b**3 - 44*b - 4 = 0.
-3, -1, -1/4
Suppose m - 5 = 3*m - y, -5*m + 4*y - 20 = 0. Determine c, given that 2*c**4 - 3*c + m*c**4 + 3*c**2 - 76*c**3 - 5*c**4 + 79*c**3 = 0.
-1, 0, 1
Let t be 0*((-20)/15 + 2/6). Suppose -4*p + 25 = p. Determine z, given that -16/7*z**4 - 4/7*z + t - 24/7*z**3 - 4/7*z**p - 16/7*z**2 = 0.
-1, 0
Let s(l) be the second derivative of 9 - l - 11/9*l**4 - 38/9*l**3 - 1/15*l**5 - 6*l**2. Factor s(u).
-4*(u + 1)**2*(u + 9)/3
Let d be (28/(-36) + 6/(-27))*-3. Factor 21 + 25*y - 10*y**2 - 10*y**2 - 31 + 5*y**d.
5*(y - 2)*(y - 1)**2
Let o(z) = -z**2. Let u(r) = 8*r**2 + 9*r + 10. Let w(l) = -18*o(l) - 2*u(l). Factor w(i).
2*(i - 10)*(i + 1)
Let z = -127247/10220 - -2/2555. Let i = -56/5 - z. Factor -1/4*d**2 - 1/2*d + 2*d**3 - i*d**4 + 0.
-d*(d - 1)**2*(5*d + 2)/4
Let y = -17707/78 + 227. Let o = y - -631/546. Factor o + 8/7*z + 2/7*z**2.
2*(z + 2)**2/7
Let z(u) be the first derivative of -3*u**4/4 - 11*u**3 - 36*u**2 - 497. Let z(i) = 0. Calculate i.
-8, -3, 0
Let w(j) = -j - 3*j**3 - 11*j**2 + 0*j + 3*j**2 + 2 + 2*j**2. Let k(u) = -39*u**3 - 78*u**2 - 12*u + 27. Let v(o) = -2*k(o) + 27*w(o). Let v(y) = 0. What is y?
-1, 0
Let o(h) be the second derivative of -h**5/150 + 11*h**4/90 - 2*h**3/9 + 4*h - 4. Factor o(f).
-2*f*(f - 10)*(f - 1)/15
Find q, given that 572/7*q**2 + 2/7*q**4 - 64/7*q**3 + 450/7 - 960/7*q = 0.
1, 15
Let s be (-7)/(-6)*(-2)/((-252)/27). Factor -s*g**2 + 1/2 - 3/8*g**3 + 5/8*g.
-(g + 1)**2*(3*g - 4)/8
Let j(t) = t**3 - 3*t**2 - 5*t + 10. Let b be j(4). Suppose -a - 4*s - 8 = -b*a, -8 = a - 4*s. Solve -2/7*r**2 + 0*r + 0 + 10/7*r**a - 8/7*r**3 = 0.
-1/5, 0, 1
Let y(z) = 5*z**2 + 345*z - 350. Let t(c) = -3*c**2 - 172*c + 175. Let r(l) = 5*t(l) + 2*y(l). Factor r(h).
-5*(h - 1)*(h + 35)
Let r(x) = -x**2 + 24*x + 7. Let m be r(24). Let d be m/(63/6) - (-12)/(-45). Find b, given that -d*b**2 + 0 + 0*b = 0.
0
Let i(s) be the second derivative of -5*s**7/42 - s**6 - 3*s**5 - 25*s**4/6 - 5*s**3/2 - 17*s - 2. Solve i(z) = 0.
-3, -1, 0
Let s = 1478/47 + -1354/611. Let n = 6619/65 - s. Determine g so that -1221/5*g**4 - 12/5 - 159*g**2 + n*g**5 + 168/5*g + 1497/5*g**3 = 0.
2/11, 1
Let u(s) be the second derivative of -s**6/180 - s**5/30 + 4*s**3/3 + 25*s. Let n(i) be the second derivative of u(i). Factor n(f).
-2*f*(f + 2)
Let i be ((-2)/4)/(1044/(-336) - -3). Let s(t) be the first derivative of t**2 + 1 + 4/3*t**6 + i*t**3 + 0*t + 26/5*t**5 + 15/2*t**4. Factor s(k).
2*k*(k + 1)**3*(4*k + 1)
Solve 234*i**2 + 76 + 0 - 33*i**4 + 35*i**4 + 82*i**3 + 230*i = 0.
-38, -1
Suppose 26 = w + 4*o, -1 = 4*w + 4*o - 69. Let l(d) = d**2 + 149*d + 583. Let a be l(-4). Let -w*y**3 + 4*y**a - y**3 - 3*y**2 + 4*y**4 = 0. What is y?
-1/4, 0, 3
Let v(j) be the third derivative of -j**7/420 + j**6/60 - 7*j**3/3 - 2*j**2. Let o(n) be the first derivative of v(n). Solve o(r) = 0.
0, 3
Suppose n - 3*c + 3 = 0, 8 + 25 = -n - 3*c. Let s(k) = 21*k**3 - 12*k**2 - 3*k - 6. Let d(m) = m**3 - m**2. Let i(f) = n*d(f) + s(f). Solve i(y) = 0.
-2, -1, 1
Let a = 161 + -157. Let y(r) be the first derivative of 3 + 4*r**a - 1/4*r + 3/2*r**2 - 4*r**3. Solve y(s) = 0.
1/4
Find i, given that -190*i + i**4 - 3*i**4 - 33*i**2 - 6*i - 530*i - 77*i**2 + 38*i**3 = 0.
-3, 0, 11
Let u(g) be the second derivative of -1/3*g**4 + 2/3*g**3 - 38*g - 1/5*g**5 + 2/15*g**6 + 0 + 0*g**2. Determine o, given that u(o) = 0.
-1, 0, 1
Let v(l) be the second derivative of -l**4/3 + 32*l**3/3 - 30*l**2 - l - 41. Factor v(c).
-4*(c - 15)*(c - 1)
Let g(h) = 4*h**2 - 16*h + 15. Let m be g(3). Let v(f) be the first derivative of -9*f - 3/4*f**4 - f**m + 15/2*f**2 - 7. Factor v(x).
-3*(x - 1)**2*(x + 3)
Let p(l) be the third derivative of -1/120*l**5 + 0 + 1/240*l**6 + 0*l + 0*l**3 - 9*l**2 - 1/24*l**4. Factor p(q).
q*(q - 2)*(q + 1)/2
Let v(b) be the second derivative of b**6/120 + b**5/16 + b**4/6 + b**3/6 + 80*b. Factor v(w).
w*(w + 1)*(w + 2)**2/4
Solve -6*m**2 + 1/6*m**4 + m**3 + 0 + 20/3*m = 0 for m.
-10, 0, 2
Let h be ((-1)/(-1))/((-2)/(-4)). Let h + 20*s**5 - 40*s**3 + 2 + 4*s**4 - 8*s**2 - 333*s + 353*s = 0. Calculate s.
-1, -1/5, 1
Let l(f) = -f**3 + 2*f**2 + 2*f - 3. Let z be l(2). Suppose 2*o - 5 = -z. Factor r**o + r**3 - 5*r**3 + r**3 - 4*r**2.
-3*r**2*(r + 1)
Determine k so that -57*k - 19*k + 9*k + 5*k**2 + 2*k = 0.
0, 13
Let b(m) = -21*m**2 - 195*m + 216. Let c(i) = -3*i**2 - 28*i + 31. Let u(d) = 4*b(d) - 27*c(d). What is x in u(x) = 0?
-9, 1
Let p(v) be the third derivative of 2*v**7/105 + v**6/2 + 18*v**5/5 - 18*v**4 - 432*v**3 + 505*v**2. Factor p(x).
4*(x - 3)*(x + 6)**3
Suppose 3*l = 6*l + 5*s - 27, -3*l + s = -9. Let y(q) be the second derivative of -4*q + 1/12*q**l + 0*q**3 + 0 - 1/2*q**2. Factor y(w).
(w - 1)*(w + 1)
Factor -2/19*p**3 - 6/19*p**2 - 6/19*p - 2/19.
-2*(p + 1)**3/19
Suppose -2*k = -4*u + 22, -3*u + 4 = -k + 2*k. Suppose -5*y + 10 - 3*y + 5*y**u - 7*y = 0. What is y?
-2, 1
Let b = -49930917/24899284 - 1/264886. Let q = -12/47 - b. What is r in -q*r**5 - 1 + 6*r + 19/4*r**3 - 41/4*r**2 + 9/4*r**4 = 0?
-2, 2/7, 1
Let o**2 + 6/5*o + 0 - 1/5*o**4 - 2/5*o**3 = 0. Calculate o.
-3, -1, 0, 2
Let j(y) be the first derivative of -1/10*y**2 - 1/30*y**3 - 7 + 1/100*y**5 + 1/60*y**4 + 4*y. Let r(u) be the first derivative of j(u). Factor r(t).
(t - 1)*(t + 1)**2/5
Let l(z) be the third derivative of -z**5/180 - z**4/18 - 2*z**3/9 - 8*z**2 + 2*z. Factor l(i).
-(i + 2)**2/3
Let z = 4 + 0. Factor -21*u**2 - 34*u + 3*u**2 - 20*u**3 + 30*u - 6*u**z.
-2*u*(u + 1)*(u + 2)*(3*u + 1)
Let n(w) = 2*w - 2. Let m be n(1). Let y(t) = 2*t + 4. Let c be y(m). Solve -63*p - 13 + 51*p**2 + c*p**3 - 3 - 11 - 13*p**3 = 0.
-1/3, 3
Solve -2/3*g**2 - 16/3*g - 14/3 = 0.
-7, -1
Factor -2*u + 74*u + 6*u**2 + 4*u**3 - 13*u**2 - 37*u**2.
4*u*(u - 9)*(u - 2)
Let v(i) be the first derivative of 5*i**6/6 - i**5 - 5*i**4/4 + 5*i**3/3 + 39. Factor v(a).
5*a**2*(a - 1)**2*(a + 1)
Let a(t) be the first derivative of 2*t**3 - 63*t**2/2 - 33*t - 22. Determine p, given that a(p) = 0.
-1/2, 11
Solve -164*z**2 - 213*z**2 - 25*z**3 + 5*z**5 + 10*z**4 + 347*z**2 = 0.
-3, -1, 0, 2
Solve 2/13*y**4 - 2*y**2 - 10/13*y**3 + 0 - 14/13*y = 0.
-1, 0, 7
Suppose -2*f - 4*b = 256, 2*f + 2*b + 252 = -0*b. Let x be 1*-1 + 4 + f/44. Factor 2/11*j**2 - x*j**3 + 4/11*j + 0.
-2*j*(j - 2)*(j + 1)/11
Suppose -3*a + 256 = 55. Let -a*z + 35*z - 4*z**2 - 23 - 41 = 0. Calculate z.
-4
Suppose -r = 5*l + 16, -4*l - 32 = 5*r + 69. Let j = r - -23. Factor 22*g**3 - 18*g**3 + g**j + 3*g**2.
4*g**2*(g + 1)
Let t(h) be the first derivative of -4*h**3/3 + 14*h**2 - 48*h + 620. Factor t(x).
-4*(x - 4)*(x - 3)
Suppose 244*r = 285*r. Factor 0 + 1/2*i**3 + 0*i**2 - 1/4*i**5 + r*i + 1/4*i**4.
-i**3*(i - 2)*(i + 1)/4
Let x(d) = -5*d + 10. Let k be x(0). Determine y so that -y**2 + 9*y**3 + 7*y**2 - k*y**3 + 5*y - 2*y**2 = 0.
-1, 0, 5
Let v(l) = 5*l**3 + 6*l**2 + 17*l + 12. Let d(y) = 7*y**3 + 5*y**2 + 17*y + 13. Let s(p) = 2*d(p) - 3*v(p). Factor s(b).
-(b + 1)*(b + 2)*(b + 5)
Let c(l) be the first derivative of l**7/168 + l**6/120 - l**5/80 - l**4/48 - 8*l + 29. Let i(j) be the first derivative 