6*q**2. What is a in i(a) = 0?
-1/3, 3/4
Let h = 119 + -117. Factor -2/3*j**3 + 0 + 1/3*j + 0*j**h + 1/3*j**5 + 0*j**4.
j*(j - 1)**2*(j + 1)**2/3
Let r(b) be the third derivative of -b**7/11340 + b**6/810 - b**5/135 + b**4/8 - 7*b**2. Let w(t) be the second derivative of r(t). Solve w(c) = 0.
2
Suppose -4*o + 44*n + 9 = 41*n, 2*o + 6 = -2*n. Factor o*v + 1/3*v**4 + 0*v**3 - 2/3*v**2 + 1/3.
(v - 1)**2*(v + 1)**2/3
Let u be -6 + (-16)/(-12) + 5 + 0. Let 0 + 1/3*d**5 + 0*d + d**4 + d**3 + u*d**2 = 0. Calculate d.
-1, 0
Let x(n) = -3*n**2 + 87*n. Let j be x(29). Factor 2/9*w**3 + 1/9*w**4 + 0*w + j + 1/9*w**2.
w**2*(w + 1)**2/9
Let l(t) be the first derivative of -t**5/15 + t**4/9 + 2*t**3/9 - 2*t**2/3 - 2*t - 10. Let x(o) be the first derivative of l(o). Factor x(m).
-4*(m - 1)**2*(m + 1)/3
Suppose -7*i + 1 = -13. Let c be 0 - 2/4*0. Solve -4*b + 5*b + b**i + c*b**2 = 0 for b.
-1, 0
Let b = 22 - 22. Let w(k) be the third derivative of 0*k**4 - 1/210*k**7 + b - k**2 + 1/60*k**5 + 0*k + 0*k**3 + 0*k**6. Suppose w(v) = 0. Calculate v.
-1, 0, 1
Let s = -4 + 9. Let d(f) = -f**5 - f**4 + f**3 - 1. Let u(h) = 4*h**5 + 3*h**4 - 4*h**3 + 2*h**2 + 5. Let v(c) = s*d(c) + u(c). Suppose v(o) = 0. Calculate o.
-2, -1, 0, 1
Let n(p) be the third derivative of -p**5/60 + 2*p**3/3 - 11*p**2. Determine z, given that n(z) = 0.
-2, 2
Suppose 2*u = z - u + 8, 3*u = 3*z + 18. Let b be 5 - (-2 - z) - -1. Let 0 + 0*x + 1/2*x**5 + 1/2*x**2 + 3/2*x**b + 3/2*x**4 = 0. Calculate x.
-1, 0
Let d(h) be the second derivative of -9*h**6/10 - 51*h**5/10 + 107*h**4/4 - 38*h**3 + 18*h**2 + 2*h. Solve d(s) = 0 for s.
-6, 2/9, 1
Let z(t) be the second derivative of -t**6/60 + t**4/24 - 11*t. Let z(h) = 0. Calculate h.
-1, 0, 1
Suppose y + z = -4, 2*y + z + 4 = -0*y. Let u(o) be the first derivative of 0*o + 1/3*o**6 + 4/3*o**3 - o**2 - 4/5*o**5 + y*o**4 - 4. Solve u(n) = 0 for n.
-1, 0, 1
Let b(w) be the first derivative of -w**4/18 + 2*w**3/27 + 34. Factor b(k).
-2*k**2*(k - 1)/9
Let u(h) = -6*h - 1 - 4*h + 9*h. Let a(y) = -y**2 - y - 1. Let c(n) = -a(n) + u(n). Let c(o) = 0. Calculate o.
0
Let z(q) = 41*q**3 - 40*q**2 - 8*q + 2. Let x(d) = d**3 - d**2 - d. Let v be 28/(-6) - 10/30. Let p(u) = v*x(u) + z(u). Find g such that p(g) = 0.
-1/4, 2/9, 1
Let y(m) = 2*m + 7. Let t be y(-1). Factor 0*b**2 + 1/4*b**t + 1/2*b**4 + 0 + 1/4*b**3 + 0*b.
b**3*(b + 1)**2/4
Let s = -2/633 + 1903/1266. Factor -s*o - 21/4*o**2 + 0.
-3*o*(7*o + 2)/4
Factor 2/7*a + 4/7 - 2/7*a**2.
-2*(a - 2)*(a + 1)/7
Find i, given that -134*i**4 + 0 + 12*i**3 + 15*i**5 + 0 + 170*i**4 = 0.
-2, -2/5, 0
Let y = 304 - 1517/5. Let 0 + y*n**2 - 6/5*n = 0. Calculate n.
0, 2
Let j(l) be the first derivative of -2*l**5/45 - l**4/6 - 2*l**3/27 + l**2/3 + 4*l/9 - 45. Solve j(c) = 0 for c.
-2, -1, 1
Let q(n) = -n**2 + 51*n - 410. Let s be q(41). Factor s + 3/5*p**2 + 3/5*p.
3*p*(p + 1)/5
Let h be -5 - 21/(-14)*6. Factor 0*s - 2/5*s**3 + 2/5*s**2 - 4/5*s**h + 0.
-2*s**2*(s + 1)*(2*s - 1)/5
Let j(t) = 6*t**4 - 32*t**3 + 88*t**2 - 94*t + 38. Let i(z) = -z**4 - z - 1. Let q(x) = 2*i(x) + j(x). Let q(b) = 0. Calculate b.
1, 3
Let w be 7*(0 - (-1)/1). Let y = 11 - w. Solve -5*h + 3*h**2 - 2*h**2 + y*h = 0.
0, 1
Let f = -3221/6 - -537. Find d such that 7/6*d**5 + 8/3*d**2 - 1/3 + 13/3*d**4 - f*d + 17/3*d**3 = 0.
-1, 2/7
Let o(n) be the second derivative of 0 + 9/20*n**4 - 6/5*n**3 + 6/5*n**2 + 6*n. Factor o(r).
3*(3*r - 2)**2/5
Let d(j) = -8*j**5 - 16*j**4 + 4*j**3 + 44*j**2 - 40*j. Let c(v) = 7*v**5 + 16*v**4 - 5*v**3 - 45*v**2 + 39*v. Let q(a) = 4*c(a) + 3*d(a). Factor q(x).
4*x*(x - 1)**2*(x + 3)**2
Let r(m) be the third derivative of -m**6/240 + m**5/30 - 5*m**4/48 + m**3/6 - 18*m**2. Factor r(a).
-(a - 2)*(a - 1)**2/2
Suppose 3*p - 12 = 3*u, -3*p = 5*u + 4 + 16. Factor -1/2*a**3 + a**4 + 0 + p*a + 1/2*a**5 - a**2.
a**2*(a - 1)*(a + 1)*(a + 2)/2
Let z be 24/21 + (-48)/21 + 2. Suppose z*w + 2/7*w**2 + 4/7 = 0. Calculate w.
-2, -1
Let u be -1 + (-4 - 1)/1. Let t(v) = -v**2 + v - 3. Let o(i) = -4*i**2 + 4*i - 11. Let w = 4 - -18. Let m(r) = u*o(r) + w*t(r). Factor m(j).
2*j*(j - 1)
Let p be ((-21)/(-4))/(6/24). Factor 0*o - 17*o - 6 - 10*o - p*o**2.
-3*(o + 1)*(7*o + 2)
Suppose 5*y + 5*j + 10 = 0, j - 6 = 5*y + 5*j. Determine c so that 2/9 + 0*c - 4/9*c**3 - 2/3*c**y = 0.
-1, 1/2
Let q(p) = 3*p**2 + 7*p + 2. Let u(h) = -4*h**2 - 7*h - 3. Let b(s) = 3*q(s) + 2*u(s). Let o(n) = n**2 + 6*n + 1. Let y(d) = -2*b(d) + 3*o(d). Factor y(v).
(v + 1)*(v + 3)
Let b(r) be the second derivative of r**7/126 - r**5/30 + r**3/18 - 3*r. Solve b(v) = 0 for v.
-1, 0, 1
Let w = 15 + 10. Let c = w + -25. Factor 0*h + c - 1/2*h**2 - 1/2*h**3.
-h**2*(h + 1)/2
Let s(n) be the second derivative of n**5/10 - n**4 + 4*n**3 - 8*n**2 - 24*n. Solve s(t) = 0.
2
Let z be (48 - 2 - -2) + -3. Let h be (-10)/z - 86/(-9). Suppose 14/3*x**2 + h*x**3 + 0 - 80/3*x**4 - 4/3*x = 0. What is x?
-2/5, 0, 1/4, 1/2
Factor 13*f**4 - 5*f**4 + f**2 - 9*f**4.
-f**2*(f - 1)*(f + 1)
Let c(y) be the first derivative of 5*y**6/6 - 6*y**5 + 15*y**4 - 40*y**3/3 + 24. Factor c(i).
5*i**2*(i - 2)**3
Let i(r) = 8*r**5 - 8*r**4 - 4*r**3 + 4*r**2 + 4*r + 4. Let x(k) = k**5 - k**2 + k + 1. Let b(p) = i(p) - 4*x(p). Factor b(c).
4*c**2*(c - 2)*(c - 1)*(c + 1)
Let u be (1 + -5)*(0 + -1). Let m(i) be the second derivative of 0*i**2 + 0 + 0*i**3 + 1/40*i**5 + 1/24*i**u + i. Factor m(a).
a**2*(a + 1)/2
Let n be 13/(-11) + 10/55. Let f be (3 - 6)/(n/1). Solve 3 - 6*v**2 - f*v**4 - 8*v**3 - 2 + 0 = 0.
-1, 1/3
Suppose 1/2*r - 1 + 1/2*r**2 = 0. What is r?
-2, 1
Factor -8/11 + 2/11*i**3 - 4/11*i**2 - 14/11*i.
2*(i - 4)*(i + 1)**2/11
Let h(g) = 41*g**2 + 50*g + 9. Let j(n) be the third derivative of -2*n**5/15 - 5*n**4/12 - n**3/3 + 4*n**2. Let q(f) = 2*h(f) + 11*j(f). Factor q(w).
-2*(w + 1)*(3*w + 2)
Let h = -129 - -129. Suppose 0 - 1/4*i**3 + h*i + 1/4*i**2 = 0. Calculate i.
0, 1
Find c, given that -c + 4 + 3*c**2 - c - 5 = 0.
-1/3, 1
Suppose -3*s - s + 24 = -2*p, 6 = -3*p. Factor -513 - 8*x**2 + 8*x**4 - 4*x**s + 513 + 4*x.
-4*x*(x - 1)**3*(x + 1)
Let l be -1 - -2 - (-4 - 4). Let r be (-1)/l*(-10 + 4). Factor 2/3 - r*a**3 + 2*a**2 - 2*a.
-2*(a - 1)**3/3
Let d = 4 + -1. Let l(u) be the third derivative of 0*u**4 + 0*u**d - 2*u**2 + 1/1050*u**7 + 1/300*u**5 + 0*u + 0 - 1/300*u**6. Factor l(s).
s**2*(s - 1)**2/5
Solve 4*h**4 - 7*h**2 - h**4 + 4*h**2 + 0*h**2 = 0.
-1, 0, 1
Suppose -7*q + 3*q + 8 = 0. Suppose 0*l - 3*z = q*l + 4, 28 = 5*l - 2*z. Factor -2*t**3 - t**l + 0*t**5 - 2*t**2 + 2*t**5 + 3*t**4.
2*t**2*(t - 1)*(t + 1)**2
Let d be (-156)/60 + 1*3. Factor d*h - 2/5*h**2 + 0.
-2*h*(h - 1)/5
Suppose 0*z - 3*z - 3 = -4*u, -5*u - 4*z - 4 = 0. Let a(y) be the second derivative of y + u*y**3 + 1/36*y**4 + 0 + 0*y**2. Find w, given that a(w) = 0.
0
Let u = 28 + -15. Let m = -9 + u. Solve -2/5*b**2 + 2/5*b - 2/5*b**3 + 2/5*b**m + 0 = 0.
-1, 0, 1
Let w(z) = 1. Let o(x) = x**2 - 4*x - 1. Let k(q) = -o(q) - 4*w(q). Let k(j) = 0. Calculate j.
1, 3
Let c(h) be the second derivative of h**7/28 + h**6/10 - 3*h**5/10 - h**4/4 + 3*h**3/4 + 18*h. Determine d, given that c(d) = 0.
-3, -1, 0, 1
Let d(r) be the second derivative of r**7/21 + 2*r**6/15 - r**5/10 - r**4/3 - 6*r. Find l, given that d(l) = 0.
-2, -1, 0, 1
Let j(v) be the third derivative of v**4/24 - v**3/2 + v**2. Let f be j(8). Let -b**2 + 2*b**f - 3*b**2 + 5*b**4 - b**4 - 2*b = 0. What is b?
-1, 0, 1
Let r be 574/11 + (-10)/55. Factor -2*u**2 - 2*u**2 - 48*u**5 - 4*u**3 + r*u**5 + 4*u**4.
4*u**2*(u - 1)*(u + 1)**2
Factor 4 + 3*l**2 + 10*l - 3*l**2 + 8*l**2 + 2*l**3.
2*(l + 1)**2*(l + 2)
Let k(a) be the second derivative of a**6/30 - a**5/40 - a**4/8 + a**3/12 + a**2/4 - 7*a. Factor k(q).
(q - 1)**2*(q + 1)*(2*q + 1)/2
Suppose 5*y - y - 32 = 0. Factor -3*x**3 + 3 + 9*x**2 - y*x**2 - x**5 + 3*x**4 - 3.
-x**2*(x - 1)**3
Let a(o) = o**3 + 2*o**2 - 2*o + 3. Let p be a(-3). Suppose p*g + 20 = 4*g. Factor -2*f**g - 4*f**2 + 4*f + 0*f**2 - 2*f + 4*f**4.
-2*f*(f - 1)**3*(f + 1)
Suppose -3*z - 8 = -4*z. Let n = z + -6. Let v + v - n*v**3 + 0*v**3 = 0. What is v?
-1, 0, 1
Let a(c) = -5*c**4 - 2*c**3 + 2*c + 5. Let l(y) = -14*y**4 - 6*y**3 + 6*y + 14. Let m(s) = -11*a(s) + 4*l(s). Let m(f) = 0. Calculate f.
-1, 1
Let l(b) be the third derivative of b**8/84 - 4*b**7