t l(g) = 0. Calculate g.
-1, 1, 2
Let j be (-17)/(-3) - (-1 - 0) - (-380 - -385). Factor -20/3 + 0*d + j*d**2.
5*(d - 2)*(d + 2)/3
Let o be 34/6698*6/(-2). Let f = o - -827/2561. Let 2/13*k**4 + f*k**3 - 4/13*k - 2/13 + 0*k**2 = 0. Calculate k.
-1, 1
Let k(p) be the second derivative of 24*p + 29/10*p**6 + 0 - p**3 - 9/2*p**5 + 13/4*p**4 + 0*p**2 - 5/7*p**7. Suppose k(x) = 0. Calculate x.
0, 2/5, 1/2, 1
Let n(r) be the first derivative of r**4/26 + 16*r**3/39 + 21*r**2/13 + 36*r/13 + 57. Find v such that n(v) = 0.
-3, -2
Let q be 12/10 - 559/645. Let l(v) be the second derivative of 0*v**2 + 7/12*v**4 + 0 + q*v**3 - v. Factor l(d).
d*(7*d + 2)
Let t(j) be the second derivative of j**4/4 - 72*j**3 + 7776*j**2 + j - 87. Factor t(p).
3*(p - 72)**2
Let r be 0 + -4 - 1 - -1996. Let p = r - 21885/11. Factor -8/11*t + 10/11*t**3 - p + 12/11*t**2 + 2/11*t**4.
2*(t - 1)*(t + 2)**3/11
Solve 56/9*f**2 - 2/9*f**4 + 14/3 + 4/9*f**3 + 92/9*f = 0.
-3, -1, 7
Let t(u) be the first derivative of 1/40*u**6 - 3/8*u**4 + 0*u**3 - 1/10*u**5 + 0*u + 3*u**2 + 4. Let l(z) be the second derivative of t(z). Factor l(k).
3*k*(k - 3)*(k + 1)
Let n(d) be the third derivative of -d**6/144 - d**5/18 + 5*d**4/12 + 28*d**2. Factor n(v).
-5*v*(v - 2)*(v + 6)/6
Suppose -9*h + 11*h + 5*y - 4 = 0, -10 = -5*h - y. Factor 0*p**h + 0 + 3/8*p**5 + 3/8*p + 0*p**4 - 3/4*p**3.
3*p*(p - 1)**2*(p + 1)**2/8
Let g be (-565)/(-1155) - 22/363. Factor 0 + g*j**3 + 3/7*j**2 + 0*j.
3*j**2*(j + 1)/7
Let i(n) = n**4 - n**3 + n - 1. Let y(v) = 5*v**4 - 5*v**3 + 4*v - 4. Suppose 17*q = 13*q + 16. Let d(l) = q*i(l) - y(l). Factor d(z).
-z**3*(z - 1)
Let o(i) be the third derivative of -i**10/50400 + i**8/11200 - i**4/24 - 15*i**2. Let d(l) be the second derivative of o(l). What is u in d(u) = 0?
-1, 0, 1
Let z(w) be the second derivative of 128*w**6/15 - 64*w**5/5 + 8*w**4 - 8*w**3/3 + w**2/2 + 38*w. Factor z(q).
(4*q - 1)**4
Let u(p) be the second derivative of 1/27*p**3 + 12*p + 0 + 1/54*p**4 - 2/9*p**2. Factor u(f).
2*(f - 1)*(f + 2)/9
Factor -9*z**3 - 46*z - 9*z**4 - 39*z + 67*z + 33*z**2 + 3*z**5.
3*z*(z - 3)*(z - 1)**2*(z + 2)
Let o be (-170)/(-55) + (-26 + 18)/88. Factor -1/3*b + 1/3*b**o + 1/3*b**2 - 1/3.
(b - 1)*(b + 1)**2/3
Suppose -1620 + 8*z**4 + 3235 - 12*z**2 - 16*z + 4*z**4 - 1615 + 20*z**3 - 4*z**5 = 0. Calculate z.
-1, 0, 1, 4
Let b(s) be the first derivative of 4*s**3/3 - 8*s**2 - 20*s - 107. Factor b(k).
4*(k - 5)*(k + 1)
Let g(h) = 2*h**5 - 10*h**5 + 0*h**5 + 8*h**2. Let n(u) = -u**5 + u**4 - u**3 + u**2. Let w(b) = -g(b) + 4*n(b). Find l, given that w(l) = 0.
-1, 0, 1
Let i(k) be the third derivative of 0*k + 0 - 2/5*k**5 - 2/35*k**7 - 4*k**2 - 1/168*k**8 + 0*k**3 - 1/3*k**4 - 13/60*k**6. Factor i(q).
-2*q*(q + 1)**2*(q + 2)**2
Let g(c) be the second derivative of c**5/5 - 2*c**4/3 - 2*c**3 + 4*c + 11. Determine s, given that g(s) = 0.
-1, 0, 3
Let i(b) = 11*b**2 + 271*b + 30. Let h(x) = 65*x**2 + 1625*x + 175. Let t(w) = 6*h(w) - 35*i(w). Determine y, given that t(y) = 0.
-53, 0
Let u(v) be the first derivative of v**6/900 - v**5/100 - v**4/6 + 2*v**3/3 - 52. Let b(c) be the third derivative of u(c). Let b(y) = 0. What is y?
-2, 5
Let 104*v + 71*v - 85 + 1990*v**3 - 994*v**3 - 95*v**2 - 991*v**3 = 0. Calculate v.
1, 17
Suppose -2*v - 2 = -f - 4, 4*f + 3*v = -8. Let s be f/(-9) + 28/63*1. Factor d + 0 - 1/3*d**3 - s*d**2.
-d*(d - 1)*(d + 3)/3
Let r(k) be the third derivative of -k**7/1470 + 17*k**6/840 - 13*k**5/70 + 5*k**4/6 - 44*k**3/21 - 19*k**2 - 16. Factor r(j).
-(j - 11)*(j - 2)**3/7
Let l(x) be the second derivative of x**5/80 - x**4/12 - 11*x**3/24 - 3*x**2/4 - 63*x. Factor l(t).
(t - 6)*(t + 1)**2/4
Let z(y) be the first derivative of -y**8/168 - 4*y**7/105 - y**6/12 - y**5/15 + 9*y**2/2 - 4. Let m(o) be the second derivative of z(o). Factor m(j).
-2*j**2*(j + 1)**2*(j + 2)
Let z(n) = n**2 - 6. Let r be z(-3). Let f be (-4)/(12/r) + 4. Factor -2*m**2 - 6*m + 14 - 14 + 5*m**2 + f*m**3.
3*m*(m - 1)*(m + 2)
Let y = 1473/11 + -134. Let q = 31/99 + y. Solve q*i**2 + 0*i + 0 + 2/9*i**4 - 4/9*i**3 = 0 for i.
0, 1
Let u(x) = 101*x - 47. Let p be u(-7). Let v be 3/7 + p/(-70). Factor v*a**2 + 2*a**4 + 0 + 16/5*a + 44/5*a**3.
2*a*(a + 2)**2*(5*a + 2)/5
Factor -8/13*l**3 - 2/13*l**2 + 0*l + 0 - 6/13*l**4.
-2*l**2*(l + 1)*(3*l + 1)/13
Let d = 26 - 22. Let g(t) be the third derivative of -1/40*t**6 + 1/6*t**d + 0*t**3 + 0*t - 2*t**2 + 1/15*t**5 + 0. Let g(m) = 0. What is m?
-2/3, 0, 2
Suppose 4 = -0*t + 2*t. Suppose -t*w + 3*w = 2*x - 6, -14 = -3*x - w. Find u such that -10*u**2 + 4*u - 10 + 3*u**3 + 40*u**x + 10 - 37*u**3 = 0.
-2/5, 0, 1/4, 1
Let o(s) be the third derivative of -s**7/420 - 7*s**6/80 - 19*s**5/60 - 3*s**2 - 17. Determine c, given that o(c) = 0.
-19, -2, 0
Suppose 223 - 57*c - 269*c - 4*c**3 - 105 + 70*c + 56*c**2 + 266 = 0. Calculate c.
4, 6
Let g(v) = 6*v**3 + 10*v**2 - 18*v - 2. Let m(f) = -2*f - 46*f**3 + 48*f**3 + 3*f**2 - 4*f - 1. Let o(w) = 6*g(w) - 20*m(w). Find j such that o(j) = 0.
-1, 2
Let k(i) be the second derivative of 1/4*i**4 - 3*i + 3/20*i**5 + 0 + 0*i**2 + 0*i**3. Solve k(y) = 0 for y.
-1, 0
Let h(q) be the second derivative of 3*q**7/70 - 29*q**6/150 + 3*q**5/50 - 127*q. Factor h(t).
t**3*(t - 3)*(9*t - 2)/5
Let g(p) = 4*p**2 - p + 4. Let b(i) be the first derivative of 5*i**3/3 - i**2 + 5*i - 15. Let s(q) = -3*b(q) + 4*g(q). Factor s(t).
(t + 1)**2
Let v(n) = n**3 - 6*n**2 + 11*n + 2. Let h(x) = -4*x**3 + 23*x**2 - 46*x - 9. Let y(k) = 2*h(k) + 9*v(k). Factor y(q).
q*(q - 7)*(q - 1)
Suppose -x + 18 = 5*x. Factor 5*v**2 - 1 - 7 + 0*v + 6*v - x*v**2.
2*(v - 1)*(v + 4)
Let o(d) be the third derivative of -d**7/3360 + d**6/192 + 5*d**4/12 - 21*d**2. Let c(a) be the second derivative of o(a). Factor c(m).
-3*m*(m - 5)/4
Let p be (15/(-6) + -2)*2. Let m be (-11)/(-2) + p/6. Suppose -5*v**5 - 4*v**2 + 17*v**5 - 12*v**m - 12*v**3 - 7*v**5 - 9*v**5 = 0. Calculate v.
-1, 0
Let x(t) be the second derivative of 712/15*t**3 + 0 - 48/5*t**2 - 2268/25*t**6 + 4239/25*t**5 + 486/35*t**7 + 23*t - 1898/15*t**4. Let x(g) = 0. Calculate g.
2/9, 1, 3
Let k = -9998/3 + 3334. What is d in 4/3*d**2 + 0*d - k = 0?
-1, 1
Let p(d) = -3*d**2 + 7*d + 14. Let c(b) = -4*b**2 + 8*b + 17. Let s(y) = -4*c(y) + 5*p(y). Solve s(g) = 0.
-2, -1
Let g(i) be the first derivative of -12167*i**5/50 - 4761*i**4/20 - 414*i**3/5 - 54*i**2/5 - 245. Determine n, given that g(n) = 0.
-6/23, 0
Let z(r) be the first derivative of 1/18*r**4 + 1/27*r**6 + 0*r - 4/45*r**5 + 0*r**2 - 5 + 0*r**3. Solve z(o) = 0.
0, 1
Suppose -2*n = -n + 5. Let q be n*(36/(-15) - -2). Factor 6/5 - 4/5*a - 2/5*a**q.
-2*(a - 1)*(a + 3)/5
Let x be 5330/221 - 2/17. Let s**4 + s**4 + x + 68*s + 73*s**2 + 2*s**4 + 28*s**3 - 5*s**2 = 0. Calculate s.
-3, -2, -1
Factor -313*b**5 - 2*b**4 + 319*b**5 + 0*b**4.
2*b**4*(3*b - 1)
Let i(g) be the first derivative of 3*g**5/8 + 9*g**4/32 - 41*g**3/4 + 99*g**2/4 - 15*g + 34. Determine a so that i(a) = 0.
-5, 2/5, 2
Let z(a) = -2*a + 9. Let c(k) = k + 1. Let j(m) = -c(m) + z(m). Let y be j(2). Find u, given that 10*u**3 - 2*u**4 - u**4 + 12*u - 3 + 2*u**3 - 18*u**y = 0.
1
Factor -40/7*a**2 - 4/7*a**3 + 4/7*a + 40/7.
-4*(a - 1)*(a + 1)*(a + 10)/7
Let b(a) be the third derivative of a**8/420 - 2*a**7/525 - a**6/50 + a**5/15 - a**4/15 + 3*a**2 + 3. Factor b(z).
4*z*(z - 1)**3*(z + 2)/5
Let u(c) be the first derivative of 2*c**6/15 - 3*c**5/5 + c**4/3 + 11*c**2/2 + 9. Let k(r) be the second derivative of u(r). Factor k(m).
4*m*(m - 2)*(4*m - 1)
Let y(t) be the first derivative of 15 + 2/15*t**3 - 12/5*t - t**2. Factor y(z).
2*(z - 6)*(z + 1)/5
Let h = 58/4433 - -48/341. Factor -h*q**2 + 28/13*q - 98/13.
-2*(q - 7)**2/13
Suppose -2*u = 3 - 11. Suppose 0 = -2*f - z + 49, f + 3*f + u*z - 108 = 0. Find b such that 2*b**2 + 2 - 20*b**3 + f*b**3 - 2*b - 4 = 0.
-1, 1
Factor 8/3*c**2 + 3*c - 3*c**3 - 17/6 + 1/6*c**4.
(c - 17)*(c - 1)**2*(c + 1)/6
Suppose 0 = -4*d + 3*d + 3*p + 178, -3*d - 4*p = -495. Find t such that 86*t**4 + 36*t**3 + 86*t**4 - d*t**4 + 108*t**2 = 0.
-6, 0
Factor -13/8*x + 21/4 - 3/4*x**2 + 1/8*x**3.
(x - 7)*(x - 2)*(x + 3)/8
Let j(s) = -2*s**2 - 7*s - 2. Suppose -6*h - 1 - 11 = 0. Let g(d) = d. Let a(n) = h*j(n) - 6*g(n). Factor a(y).
4*(y + 1)**2
Let k(t) = -4*t**2 - t - 1. 