culate g.
-2, 1/3, 1
Suppose 5*j + 70 = -0*j. Let x be j/10 - (-2)/5. Let u(l) = l**3 - l + 1. Let t(k) = 8*k**4 + 3*k**3 - k + 1. Let g(y) = x*t(y) + u(y). What is r in g(r) = 0?
-1/4, 0
Let n(y) be the third derivative of -1/8*y**4 + 1/6*y**3 + 0 + 1/60*y**6 + 0*y - 1/70*y**7 + 1/30*y**5 + 1/336*y**8 + 4*y**2. Factor n(x).
(x - 1)**4*(x + 1)
Let 9/5*s**3 - 3/5*s**5 + 6/5*s**2 + 0*s + 0*s**4 + 0 = 0. Calculate s.
-1, 0, 2
Let s(v) be the first derivative of v**7/3780 - v**6/1620 - v**5/135 + v**4/27 - 5*v**3/3 - 7. Let z(x) be the third derivative of s(x). Factor z(t).
2*(t - 2)*(t - 1)*(t + 2)/9
Let b(m) be the first derivative of -m**5/12 + m**4/3 - m**3/2 + m**2/3 - 3*m + 1. Let i(p) be the first derivative of b(p). Find s such that i(s) = 0.
2/5, 1
Let z(o) = o**3 + o - 1. Let c(p) be the first derivative of 5*p**4/2 - 4*p**3/3 + 4*p**2 - 8*p - 5. Let k(y) = -c(y) + 8*z(y). Solve k(s) = 0.
0, 2
Suppose 3/5*j**3 + 63/5*j**2 + 1029/5 + 441/5*j = 0. Calculate j.
-7
Let k = -7 - -4. Let g be (1 + k)/(0 + -1). Factor p**g - p**2 - p**2 - p**3.
-p**2*(p + 1)
Let d be 2/(-5) + (-17)/(-5). Let x = 5 - d. Let 10*i + 10*i**4 - x - 4*i**5 - 4*i**3 - i**2 - 2*i - 7*i**2 = 0. Calculate i.
-1, 1/2, 1
Factor 95*j - 7 + 18*j**2 + 37 - 3*j**2.
5*(j + 6)*(3*j + 1)
Let o = 804 - 801. Let -2/5*g**o - 8/5 + 6/5*g**2 + 0*g = 0. What is g?
-1, 2
Let o(s) be the first derivative of 0*s**2 + 1 - 2/15*s**3 + 2/25*s**5 + 1/15*s**6 + 0*s - 1/10*s**4. Factor o(q).
2*q**2*(q - 1)*(q + 1)**2/5
Let c(q) be the first derivative of 3*q**3 + 5*q**2/2 + 6*q - 2. Let m(u) = 8*u**2 + 4*u + 5. Let z(r) = 5*c(r) - 6*m(r). Factor z(p).
-p*(3*p - 1)
Let s(m) = m**3 + 3*m**2 - 1. Let g be s(-2). Solve -12*i**3 - 4*i - 12*i**2 + i - 6*i**3 - 12*i**4 - g*i**5 = 0 for i.
-1, 0
Let b(r) = 3*r**2 - 9*r + 6. Let z(j) = 2*j**2 - 5*j + 3. Let q(m) = 3*b(m) - 5*z(m). Factor q(p).
-(p - 1)*(p + 3)
Let w = 29/84 - 2/21. Let 1/4*x**4 + 1/2*x**3 - 1/4*x - 1/2*x**2 - 1/4*x**5 + w = 0. What is x?
-1, 1
Solve 4/9*p**2 - 1/9*p**3 - 2 + 1/3*p = 0 for p.
-2, 3
What is k in 2/3 + 2*k**2 + 2/3*k**3 + 2*k = 0?
-1
Let d(o) be the second derivative of 0*o**2 + 0*o**4 - 5*o + 1/30*o**6 + 0 + 0*o**3 + 1/20*o**5. Solve d(l) = 0 for l.
-1, 0
Let v(b) = -b + 2. Let u be v(0). What is o in -o**2 + 0*o + o - 2*o + 2*o**u = 0?
0, 1
Suppose 5 = -4*d + 21. Let n(s) be the first derivative of -1/4*s**3 - 1/4*s - 1/16*s**d - 2 - 3/8*s**2. Factor n(q).
-(q + 1)**3/4
Suppose 9 - 5 = r. Let c(h) be the third derivative of h**2 + 0*h**r + 1/175*h**7 + 0 + 1/100*h**6 + 1/150*h**5 + 0*h**3 + 1/840*h**8 + 0*h. Factor c(g).
2*g**2*(g + 1)**3/5
What is y in 2/3*y**4 + 2/3*y**2 + 0 + 0*y - 4/3*y**3 = 0?
0, 1
Let u(i) be the second derivative of i**6/80 + i**5/20 + i**4/16 - 2*i**2 - 2*i. Let a(n) be the first derivative of u(n). Factor a(h).
3*h*(h + 1)**2/2
Let m(d) be the third derivative of d**9/272160 - d**8/90720 - d**5/30 - 3*d**2. Let z(b) be the third derivative of m(b). Determine i so that z(i) = 0.
0, 1
Let a(u) be the second derivative of 0*u**3 + 3/4*u**4 + 3*u - 3/20*u**5 + 0 - 6*u**2. Factor a(w).
-3*(w - 2)**2*(w + 1)
Let k(z) = z**4 - z**2 + z - 1. Let o(l) = -3*l**4 + 3*l**2 - 2*l + 2. Let s(g) = 2*k(g) + o(g). Solve s(c) = 0 for c.
-1, 0, 1
Factor 2/13*c**4 + 0 - 8/13*c + 0*c**2 + 6/13*c**3.
2*c*(c - 1)*(c + 2)**2/13
Determine b so that -30*b - 2 + 30*b + 2*b**2 = 0.
-1, 1
Let h(j) = -2*j + 10. Let z be h(4). Determine d so that -3/2*d - 9/4*d**4 + 3*d**3 + 0 + 15/4*d**z = 0.
-1, 0, 1/3, 2
Let f(t) be the first derivative of -t**6/2160 + t**4/144 - 3*t**3 + 2. Let w(m) be the third derivative of f(m). Determine l so that w(l) = 0.
-1, 1
Let f(v) = -2*v - 12. Let w(b) = 2*b + 4. Let c be w(-6). Let d be f(c). Factor -i - 1/4 - 3/2*i**2 - 1/4*i**d - i**3.
-(i + 1)**4/4
Factor 2/7*m**2 - 2/7*m**3 - 2/7 + 2/7*m.
-2*(m - 1)**2*(m + 1)/7
Suppose -5*g + 2*g + 2*p - 8 = 0, -28 = 3*g + 2*p. Let i be (-24)/(-10) + g/15. Factor -4*j - i*j**2 + 2 + 0*j + 4*j**2.
2*(j - 1)**2
Let l = -648 + 5834/9. Suppose 2/9 - 2/9*c**3 + l*c - 2/9*c**2 = 0. Calculate c.
-1, 1
Let i be (-2)/(0 + -2) + 2. Factor -4*v**i - 4*v**4 - v**2 - 2*v**3 + v**4 - 2*v**2.
-3*v**2*(v + 1)**2
Factor 1/7*w**3 + 0*w**2 - 1/7*w + 0.
w*(w - 1)*(w + 1)/7
Let c = -3/203 + 445/2639. Factor 2/13*h**2 - c*h - 4/13.
2*(h - 2)*(h + 1)/13
Let m be (-1)/4 + 19/(-4). Let g be m/(-4)*(-4)/(-20). Find a such that 0 + 0*a - g*a**2 = 0.
0
Let k(h) be the second derivative of h**7/1260 + h**6/90 + h**5/15 - h**4/4 - h. Let s(l) be the third derivative of k(l). Factor s(f).
2*(f + 2)**2
Let d = 11 - 57. Let q = d - -95/2. What is n in -q*n**2 - 3/2*n**3 + 3/2 + 3/2*n = 0?
-1, 1
Factor 0 + 0*o - 8/7*o**2 + 10/7*o**3 - 2/7*o**4.
-2*o**2*(o - 4)*(o - 1)/7
Let l(b) be the third derivative of -b**7/280 + b**6/420 + b**3/2 - 2*b**2. Let t(z) be the first derivative of l(z). Determine i so that t(i) = 0.
0, 2/7
Let a = 5 - 3. Suppose m - 2 = 3*u, 2*m = -a*m + 2*u + 8. Factor 2*w**4 + 4*w**3 + 2*w**m - 5*w + 5*w.
2*w**2*(w + 1)**2
Let v(h) = 6*h**2 + 31*h - 42. Let r(g) = 3*g**2 + 15*g - 21. Let w(b) = -5*r(b) + 3*v(b). Factor w(t).
3*(t - 1)*(t + 7)
Factor -50/13 - 10*s - 92/13*s**2 + 14/13*s**4 + 4/13*s**3 - 2/13*s**5.
-2*(s - 5)**2*(s + 1)**3/13
Let z(n) be the third derivative of n**7/42 + n**6/24 - n**5/12 - 5*n**4/24 - 6*n**2. Suppose z(m) = 0. What is m?
-1, 0, 1
Solve -3*y - 120 + 38*y**2 + 109*y**2 + 420 + 423*y = 0.
-10/7
Let w be ((-2)/6)/((-3)/36). Suppose 4*y - 3*a + a - 10 = 0, -2*y = w*a - 30. Suppose -y*z**3 + z**2 + 3*z**2 - 2*z**3 - 3*z**3 = 0. What is z?
0, 2/5
Let h(k) be the third derivative of 3*k**7/35 - k**6/20 - 13*k**5/15 + 7*k**4/3 - 8*k**3/3 + 15*k**2. Factor h(c).
2*(c - 1)*(c + 2)*(3*c - 2)**2
Let y = 37 + -23. Find m, given that 5*m - y*m**5 - 4*m**2 - 32*m**4 - 22*m**3 - 5*m = 0.
-1, -2/7, 0
Let y = 7/9 + -59/99. Solve -2/11*a**5 + 0*a + 0*a**2 - y*a**3 + 4/11*a**4 + 0 = 0.
0, 1
Let p(i) be the third derivative of i**7/2520 + i**6/720 - i**4/8 + 3*i**2. Let d(s) be the second derivative of p(s). Factor d(q).
q*(q + 1)
Let c(i) be the first derivative of -i**4/20 + i**3/5 - 15. Factor c(d).
-d**2*(d - 3)/5
Factor 3/5*y**2 + 12/5 + 12/5*y.
3*(y + 2)**2/5
Let y(d) be the second derivative of d**4/66 + 8*d**3/33 + 16*d**2/11 + 8*d. Factor y(v).
2*(v + 4)**2/11
Let t(w) be the first derivative of -9*w**4/4 - 10*w**3 - 27*w**2/2 - 6*w + 7. Let t(i) = 0. What is i?
-2, -1, -1/3
Let x(f) = f**3 - 5*f**2 + f - 3. Let w be x(5). Factor -2 + l + 4 - 2 + w*l**2 + l**3.
l*(l + 1)**2
Let c(k) = -4*k**2 + 15*k + 7. Let z(t) be the first derivative of -13*t - 29/2*t**2 - 1 + 3*t**3. Let o(w) = -10*c(w) - 6*z(w). Determine b so that o(b) = 0.
-2/7, 2
Suppose h + 3*p = 16, -5*p + 17 + 23 = 5*h. Suppose 2/3*o**2 + 22/9*o**3 + 2/9*o**h - 16/9*o - 2/3*o**5 - 8/9 = 0. What is o?
-1, -2/3, 1, 2
Let r = 10 + 0. Suppose -l = l - r. Determine m so that -3 + m**l + 3 + m**3 + 2*m**4 = 0.
-1, 0
Let d(x) be the third derivative of -1/60*x**5 + 0 - 1/210*x**7 + 0*x + 0*x**4 + 0*x**3 - 3*x**2 + 1/60*x**6. Let d(s) = 0. Calculate s.
0, 1
Let p(c) be the second derivative of 8*c**6/15 - 6*c**5/5 - 7*c**4/12 + 4*c**3 - 9*c**2/2 - 38*c. Factor p(t).
(t - 1)*(t + 1)*(4*t - 3)**2
Suppose -5*v + 2*r + 29 = 27, -6*v + 32 = 5*r. Let t be ((-3)/(-2))/3*0. Factor 0*x + 2/5*x**5 - 8/5*x**4 + t + 0*x**v + 8/5*x**3.
2*x**3*(x - 2)**2/5
Let w(b) = -5*b**2 - 7*b - 8. Let u(g) be the second derivative of g + 0 - 17/2*g**2 - 5/2*g**3 - 11/12*g**4. Let z(o) = 6*u(o) - 13*w(o). Factor z(k).
-(k - 2)*(k + 1)
Let a(s) be the first derivative of -s**4/18 + s**2/3 + 3*s + 2. Let u(b) be the first derivative of a(b). Solve u(p) = 0 for p.
-1, 1
Let f = 176/355 + 8/213. Factor -f*v**2 - 2/15*v**3 - 4/15 - 2/3*v.
-2*(v + 1)**2*(v + 2)/15
Let i(a) be the third derivative of -1/168*a**8 + 1/15*a**5 + 2*a**2 + 0 + 0*a + 0*a**3 + 1/12*a**4 - 2/105*a**7 + 0*a**6. Suppose i(l) = 0. What is l?
-1, 0, 1
Let m(j) be the second derivative of -1/18*j**3 - j - 5/36*j**4 + 1/6*j**2 + 0 - 1/20*j**5. Factor m(w).
-(w + 1)**2*(3*w - 1)/3
Let l(p) = 2 + 4*p**2 - 4 - 2*p**2 - 2*p. Let u(d) = 4*d**2 - 4*d - 5. Let x(z) = 5*l(z) - 2*u(z). Factor x(t).
2*t*(t - 1)
Let t = -2/3351723 - -501641435/378744699. Let k = t - 