+ 0*q**4 - 11*q**3 + 2 - 6*q**4 - 2*q**5 + 3*q**2 + q**2.
-2*(q - 1)*(q + 1)**4
Let f be (-3)/(-9) - (-2 + 6)/12. Let a(u) be the first derivative of u**6 + 2*u**4 + 1/9*u**2 - 12/5*u**5 + f*u - 20/27*u**3 - 1. What is g in a(g) = 0?
0, 1/3, 1
Let q be (6 - -1) + -8 + 7. Let n(h) = -3*h**3 + 15*h**2 + 16*h + 13. Let r(z) = z**3 - 7*z**2 - 8*z - 6. Let k(f) = q*n(f) + 15*r(f). Factor k(p).
-3*(p + 1)*(p + 2)**2
Let i(t) be the third derivative of -t**6/660 + t**4/44 - 2*t**3/33 - 3*t**2. Find d, given that i(d) = 0.
-2, 1
Let o = -1 - 11. Let y be o/9*5/(-6). Find c, given that -14/9*c**2 - y*c + 4/9 = 0.
-1, 2/7
Suppose 0 = -3*l - a + 14, -3*l - 6*a + 29 = -2*a. Suppose -2*k + 5*u - 1 - 15 = 0, 3*u = l*k + 6. Let 4/7 - 2/7*y**k - 2/7*y = 0. Calculate y.
-2, 1
Let j(m) be the first derivative of -m**6/3 - 2*m**5/5 + 3*m**4/2 + 2*m**3/3 - 2*m**2 - 9. Find u such that j(u) = 0.
-2, -1, 0, 1
Let k = -7 + 7. Let x = k - -2. Solve -4/3*j**x + 1/3*j + 0 = 0.
0, 1/4
Factor 13 + 4*r**4 + 82*r - 12*r**3 - 33*r**2 + 14 - 64*r + 8*r**4.
3*(r + 1)**2*(2*r - 3)**2
Let t be (-6)/(-5) - (-6)/(-30). Let s = t + 1. Factor -2/7*z**3 + 0*z + 0*z**s + 0 + 4/7*z**4 - 2/7*z**5.
-2*z**3*(z - 1)**2/7
Let w(v) be the first derivative of 0*v - 5 - 3/5*v**3 + 3/20*v**4 + 3/5*v**2. Solve w(r) = 0 for r.
0, 1, 2
Factor 1/6*j - 1/3*j**2 + 0 + 1/6*j**3.
j*(j - 1)**2/6
Let i(k) be the third derivative of -k**5/360 - k**4/16 - 2*k**3/9 + 3*k**2. Factor i(m).
-(m + 1)*(m + 8)/6
Let p = 522/35 - 96/7. Let t(z) be the first derivative of -3 - 3*z**4 - 16/9*z**3 - p*z**5 + 2/3*z + 2/3*z**2. Solve t(h) = 0 for h.
-1, -1/3, 1/3
Let d = 572881/240 - 2387. Let r(w) be the third derivative of 0*w**4 + d*w**5 - 1/24*w**3 + 0*w + 0 - w**2. Determine b so that r(b) = 0.
-1, 1
Let v(i) be the third derivative of i**7/3780 - i**6/810 + i**5/540 - i**3/2 - i**2. Let j(s) be the first derivative of v(s). Factor j(d).
2*d*(d - 1)**2/9
Let b = -15 - -15. Let w(q) be the first derivative of -2 + 1/2*q**2 + b*q + 1/3*q**3. Factor w(k).
k*(k + 1)
Suppose -2*u = 5*o - 6, 5*u + 3*o + 6 - 21 = 0. Determine w so that w**3 + 2*w**u - 12*w**2 + w**3 + 8*w = 0.
0, 1, 2
Let j(d) be the first derivative of -4*d**3/3 + 8*d**2 - 2. Factor j(m).
-4*m*(m - 4)
Factor 4*b + 4 - b**2 - 2*b + 3 + 1.
-(b - 4)*(b + 2)
Let h(u) = -3*u**3 + u**2 - 2*u. Let x(l) = -7*l**3 + 2*l**2 - 5*l. Let k(i) = 5*h(i) - 2*x(i). Factor k(t).
-t**2*(t - 1)
Let w(o) be the first derivative of -8*o**6/3 + 12*o**5/5 - o**4/2 + 62. Suppose w(y) = 0. What is y?
0, 1/4, 1/2
Let x(p) = 71*p**5 + 94*p**4 - 221*p**3 + 45*p**2 - 11. Let i(d) = -24*d**5 - 31*d**4 + 74*d**3 - 15*d**2 + 4. Let g(z) = 11*i(z) + 4*x(z). Solve g(s) = 0.
-3, 0, 1/4, 1
Let o(a) be the third derivative of a**7/840 - a**6/160 + a**5/80 - a**4/96 - 12*a**2. Factor o(t).
t*(t - 1)**3/4
Let l = 653/15 + -191/5. Factor -4/3 + 4/3*u**2 - 16/3*u + l*u**3.
4*(u - 1)*(u + 1)*(4*u + 1)/3
Let h(f) be the first derivative of f**6/40 - 9*f**5/140 + f**4/28 - 3*f**2/2 - 6. Let a(u) be the second derivative of h(u). Find t such that a(t) = 0.
0, 2/7, 1
Let a be (-12)/(-9) - (-2)/(-3). Let m(l) = 2*l**2 + 2*l - 2. Let u be m(1). Factor -8/3*w - 8/3 - a*w**u.
-2*(w + 2)**2/3
Let g(r) be the third derivative of -1/3*r**4 - 1/15*r**6 - 1/3*r**3 + 0*r - 1/105*r**7 + 0 - 1/5*r**5 + 6*r**2. Let g(n) = 0. What is n?
-1
Suppose u - 4*b + 6 = 22, 4*u + 4*b = -16. Suppose u*n = -3*n - 3, p + 3*n = -1. Factor -2*j**3 + j**3 + 3*j + j**2 - j**4 - p*j.
-j*(j - 1)*(j + 1)**2
Suppose -2/7*h**4 + 0 - 10/7*h**3 + 12/7*h**2 + 0*h = 0. Calculate h.
-6, 0, 1
Suppose -5*t + 0*t + 5 = 0. Let m be (12/(-90))/(t/(-5)). Factor 0 - 2/3*b**4 + m*b + 2/3*b**2 - 2/3*b**3.
-2*b*(b - 1)*(b + 1)**2/3
Factor 0 - 4/9*d**2 + 0*d - 2/3*d**3 - 2/9*d**4.
-2*d**2*(d + 1)*(d + 2)/9
Let w = 944/651 + -42/31. Let n(m) be the first derivative of 2 + 0*m**2 + 0*m - w*m**3. Factor n(l).
-2*l**2/7
Let f(m) be the first derivative of 0*m - 2/39*m**3 - 2 + 0*m**2. Suppose f(b) = 0. Calculate b.
0
Suppose 2*v = s + 7, -4*v + 3*s = -9*v + 23. Let t(f) be the second derivative of 1/120*f**5 + 0 + 0*f**v + 0*f**3 + 0*f**2 + 3*f. Factor t(q).
q**3/6
Let r be 39/195*10/6. Suppose -r*o + 4/3*o**2 - 1 = 0. Calculate o.
-3/4, 1
Let f(k) be the third derivative of k**8/1680 - k**7/1050 - k**6/200 + k**5/60 - k**4/60 + 5*k**2 + 2*k. Find b, given that f(b) = 0.
-2, 0, 1
Let y = 29/60 - 3/20. Let 0*n - y*n**2 + 1/3 = 0. Calculate n.
-1, 1
Let x(l) be the third derivative of -l**7/84 - l**6/20 + 2*l**5/15 + l**4 + 4*l**3/3 - 4*l**2 + l. Determine z, given that x(z) = 0.
-2, -2/5, 2
Let b be (-3 - -5)*(-10)/(-4). Let g(m) = 4*m**2 + 13*m - 5. Let k(h) = -2*h**2 - 7*h + 3. Let d(l) = b*k(l) + 3*g(l). Let d(t) = 0. Calculate t.
-2, 0
Let g(b) be the first derivative of 2/9*b**3 - 2/3*b**4 - 3 - 2/5*b**5 + 2/3*b**2 + 0*b. Factor g(h).
-2*h*(h + 1)**2*(3*h - 2)/3
Let r(f) be the first derivative of 4*f**3/3 - 2*f**2 - 8*f - 6. Let r(u) = 0. What is u?
-1, 2
Let r(j) be the second derivative of j**4/60 + j**3/30 + 3*j. Determine f, given that r(f) = 0.
-1, 0
Let o(q) be the third derivative of 21/10*q**7 + 0*q + 0 + 7/6*q**4 - 4/3*q**3 + 67/30*q**5 + 2*q**2 - 119/24*q**6. Suppose o(k) = 0. Calculate k.
-2/9, 2/7, 1
Suppose 6 = -3*u + 4*u. Suppose -5*d + 4*l = -0*d - 11, 5*d + 5*l = 20. Solve 6*s + u*s + s**d - 3*s**2 - 3*s**2 - 8 = 0 for s.
2
Let i(j) be the first derivative of 2*j**3/3 - 3*j**2 + 4*j + 14. Factor i(k).
2*(k - 2)*(k - 1)
Let w = 14 - 4. Let g be (8/w)/(56/20). Factor -2/7 + 0*v + g*v**2.
2*(v - 1)*(v + 1)/7
Let y(q) be the second derivative of q**4/24 - q**3/12 - q**2/2 - 8*q. Factor y(r).
(r - 2)*(r + 1)/2
Let v = -3/22 - -18/11. Factor -2*z**3 + v*z**2 + 1/2*z**4 - 2 + 2*z.
(z - 2)**2*(z - 1)*(z + 1)/2
Let n = 27/10 - 6/5. Determine j, given that 1/2*j**3 + j + 0 + n*j**2 = 0.
-2, -1, 0
Let n = -106 + 213/2. Let y(d) be the first derivative of 4/3*d**3 - 2 + 15/16*d**4 + 0*d + n*d**2. Factor y(c).
c*(3*c + 2)*(5*c + 2)/4
Let k = -17 + 20. Let t be -1*25/9 + k. Let 2/9*d**5 + 2/9*d**4 + t*d + 2/9 - 4/9*d**3 - 4/9*d**2 = 0. Calculate d.
-1, 1
Suppose 3*j = -j. Determine b, given that -6*b**2 + 3*b**2 + b + j*b**2 + 4*b**2 = 0.
-1, 0
Let o(v) be the second derivative of v**7/42 + 3*v**6/40 - v**5/40 - 3*v**4/16 - v**3/12 + v. Find j such that o(j) = 0.
-2, -1, -1/4, 0, 1
Let r = -3 + 7. Suppose 0*q + r = q. Determine i, given that -q*i**2 - 18*i**5 - 30*i**4 + 2*i**2 - 15*i**3 + i**3 = 0.
-1, -1/3, 0
Suppose 11 + 4 = 3*a. Let -3 - f**5 - f**4 - 2 + a = 0. Calculate f.
-1, 0
Let w(o) be the first derivative of -4*o**3/3 + 8*o**2 - 12*o - 20. Find j such that w(j) = 0.
1, 3
Let k = -24 - -40. Determine u, given that 52*u**4 - 40*u**3 - 7*u**5 - 2*u**5 - k*u**2 - 5*u**5 = 0.
-2/7, 0, 2
Let j(u) = u**2 - u - 1. Let n(f) = -8*f**2 + 2*f + 9. Let q(c) = 36*j(c) + 4*n(c). Factor q(x).
4*x*(x - 7)
Let k be ((-12)/(-36))/((-1)/(-9)). Solve 2 + 0 - r**3 - r - 2*r**2 + k*r - r**3 = 0.
-1, 1
Suppose a = -5*p + 11, -7*a + 5*a + 12 = 5*p. Determine d so that 9/4*d**p + 3/2*d + 0 = 0.
-2/3, 0
Let i(j) be the second derivative of -j**8/33600 - j**7/6300 + j**4/6 - j. Let z(l) be the third derivative of i(l). Factor z(w).
-w**2*(w + 2)/5
Let -9/4 - 39/4*d - 3/4*d**5 - 27/2*d**3 - 33/2*d**2 - 21/4*d**4 = 0. What is d?
-3, -1
Let i = -9 - -6. Let f = 7 + i. Let 0*z + 0 + 0*z**3 + 2/5*z**2 - 2/5*z**f = 0. Calculate z.
-1, 0, 1
Suppose 5*m = -3*o + 49, 5*o = 4*m - 5*m + 23. Solve -m*c**5 - 15*c**4 - 86 - 224*c**3 - 256*c - 352*c**2 + 22 - 53*c**4 = 0 for c.
-2, -1/2
Let m be (-131)/3 - (-8 - -6). Let d = -41 - m. Factor 0 + 0*r**2 + d*r - 2/3*r**3.
-2*r*(r - 1)*(r + 1)/3
Let j(a) be the third derivative of -a**8/36960 - a**7/3465 - a**6/990 + 7*a**4/24 - 7*a**2. Let w(y) be the second derivative of j(y). Factor w(r).
-2*r*(r + 2)**2/11
Let m(v) = -5*v**2 - 20*v. Let b be m(-4). Determine x, given that -1/2*x**3 + 1/2*x - 7/4*x**4 + b + 7/4*x**2 = 0.
-1, -2/7, 0, 1
Let u = 73/3 - 24. Let j(y) be the first derivative of y - 2 - y**2 + u*y**3. What is f in j(f) = 0?
1
Let x = 23 + -21. Let u(a) be the first derivative of -10/9*a**3 - 14/15*a**5 + 2/9*a**6 + 3/2*a**4 + 0*a + 1/3*a**x - 2. Let u(i) = 0. What is i?
0, 1/2, 1
Factor -k**2 + 0*k**2 - 7*k**2 