mine j so that u(j) = 0.
-1, 1/3, 2/3, 1
Let x(f) = -4*f**3 - 24*f**2 - 39*f. Let d(h) be the first derivative of h**4 + 8*h**3 + 20*h**2 - 4. Let j(n) = -3*d(n) - 4*x(n). Factor j(q).
4*q*(q + 3)**2
Let n(k) = 4*k**2 - k + 5. Let i(o) = o**2 - o + 1. Let z(h) = 5*i(h) - n(h). Suppose z(u) = 0. Calculate u.
0, 4
Suppose -3*s = -4*n - 7 - 1, 0 = -n - s - 2. Let l be (39/(-18) - -2)*n. Factor 1/3*w**2 + 0 - 1/3*w - 1/3*w**4 + l*w**3.
-w*(w - 1)**2*(w + 1)/3
Suppose -4*z + 3*a = 2 - 18, 0 = -4*a. Let m be (-5)/(-3) - z/(-12). Suppose -2/7*c**m + 0 + 0*c = 0. What is c?
0
Suppose g - 4*m - 8 = 0, 10 = -g - 2*m - 3*m. Factor 1/3*l + g - 1/3*l**2.
-l*(l - 1)/3
Let j be (((-9)/(36/16))/1)/(-2). Find d, given that 74/7*d**4 + 134/7*d**2 + j*d**5 + 146/7*d**3 + 8/7 + 8*d = 0.
-2, -1, -2/7
Let h(u) be the third derivative of 5*u**8/336 + u**7/21 - u**5/6 - 5*u**4/24 - 11*u**2. Factor h(k).
5*k*(k - 1)*(k + 1)**3
Factor 2*q**2 - 8/11 - 16/11*q - 6/11*q**3.
-2*(q - 2)**2*(3*q + 1)/11
Determine u, given that 6/17*u + 2/17*u**3 - 6/17*u**2 - 2/17 = 0.
1
Let z(t) = 15*t**3 + 39*t**2 - 9*t - 33. Let g(w) = -4*w**3 - 10*w**2 + 2*w + 8. Let j(n) = -21*g(n) - 5*z(n). Find q, given that j(q) = 0.
-1, 1/3
Let k(p) = -p + 1. Let v be k(4). Let r(f) = f**2 + 2*f. Let z be r(v). Factor 2*h**3 - z*h**2 + 3*h**2 - 2*h**2.
2*h**2*(h - 1)
Suppose 2*c = -10, -5*x + 5*c = -8*x - 25. Factor 3/4*p**4 + 3/4*p**2 + 0*p - 3/2*p**3 + x.
3*p**2*(p - 1)**2/4
Let h be 73 - (-1 + -3 - -2). Let i be 80/h + (-10)/25. Factor 1/3*x**2 + 0 + 2/3*x**3 - 1/3*x**4 - i*x.
-x*(x - 2)*(x - 1)*(x + 1)/3
Let o(q) be the second derivative of 2*q**6/3 - 7*q**5/5 - 8*q**4/3 + 8*q**3/3 - 6*q. Let o(b) = 0. Calculate b.
-1, 0, 2/5, 2
Let o(l) be the first derivative of 5*l**6/6 + 4*l**5 + 5*l**4/4 - 50*l**3/3 - 10*l**2 + 40*l + 29. Factor o(d).
5*(d - 1)**2*(d + 2)**3
Let h be (0 - -1)/((-2)/4 - -1). Factor 1/3*b**h + 2/3*b + 1/3.
(b + 1)**2/3
Let c be (-6)/5 + 5 + 1 + -4. Let 2/5*x**2 - 2/5*x - c = 0. What is x?
-1, 2
Let x be 0 - 1 - (-3)/3. Factor -2*b**2 - 5*b + x*b**3 + 2*b - 2*b**3 + 2*b**4 + 5*b.
2*b*(b - 1)**2*(b + 1)
Suppose s - 1 = 1. Let y be 1/6 - (-12)/24. Let y*w + 2/3*w**5 - 4/3*w**3 + 2/3 - 4/3*w**s + 2/3*w**4 = 0. What is w?
-1, 1
Let m(h) be the first derivative of -h**4/6 - 8*h**3/9 - 5*h**2/3 - 4*h/3 - 4. What is p in m(p) = 0?
-2, -1
Suppose -5*f + 143 = -47. Let h = 482 - 232. Factor -2 + 8*l + 0 + 4 - f*l + 150*l**2 - h*l**3.
-2*(5*l - 1)**3
Let z = -168 - -172. Let w(o) be the first derivative of -1/3*o**3 - 1/8*o**z + 2 + 0*o - 1/4*o**2. Factor w(x).
-x*(x + 1)**2/2
Let a(g) be the first derivative of g + 1 - 1/18*g**4 - 1/9*g**2 - 4/27*g**3. Let p(b) be the first derivative of a(b). Factor p(w).
-2*(w + 1)*(3*w + 1)/9
Suppose -z + 3*z = -10. Let p be (z/(-2))/((-6)/(-12)). What is i in -19/3*i**3 - 4/3*i**2 + 4/3*i + 0 + 34/3*i**4 - 5*i**p = 0?
-2/5, 0, 2/3, 1
Let b(j) be the first derivative of 0*j**4 + 0*j**2 - 1 + 4/9*j**3 - 2/15*j**5 - 2/3*j. Let b(y) = 0. What is y?
-1, 1
Let d(u) be the first derivative of 5*u**6/3 + 6*u**5/5 - u**4 + 5. Factor d(n).
2*n**3*(n + 1)*(5*n - 2)
Let i(c) be the second derivative of -c**7/945 + c**6/180 - c**5/135 + 9*c**2/2 - 8*c. Let g(y) be the first derivative of i(y). Factor g(n).
-2*n**2*(n - 2)*(n - 1)/9
Factor -6/5*z**4 + 0*z**3 + 0*z + 0 + 6/5*z**2.
-6*z**2*(z - 1)*(z + 1)/5
Let z be (64/60)/8*12. Determine b, given that 24/5*b + z + 2*b**2 = 0.
-2, -2/5
Let j(o) be the second derivative of -2*o**6/15 - o**5 - o**4 + 10*o**3/3 + 8*o**2 + 16*o. Factor j(u).
-4*(u - 1)*(u + 1)**2*(u + 4)
Suppose -5*c + 18 = q, q = -3 + 1. Let t be 6/c*(-4)/(-2). Suppose t - 2*k**3 - 3*k**2 + 2*k**3 + 3*k**3 - 3*k = 0. What is k?
-1, 1
Let u be 17/20 + (-15)/(-20). Factor 4/5*m - u*m**3 - 2/5 + 6/5*m**2 - 8/5*m**4.
-2*(m + 1)**2*(2*m - 1)**2/5
Let -8*x + 14/3*x**2 - 8/3 = 0. What is x?
-2/7, 2
Let b(v) = -v + 20. Let a be b(18). Factor 1/2*m**a - 1/2 + 0*m.
(m - 1)*(m + 1)/2
Suppose -4*z = 4*j + 4, 0 = z - 4*j - j - 11. Factor 1 - 2 + 0*h - z - h**3 + 3*h.
-(h - 1)**2*(h + 2)
Let l be 9/(-2)*12/9. Let s = l - -9. Factor -2/5*r**2 + 0 + 0*r - 2/5*r**s.
-2*r**2*(r + 1)/5
Let m(x) be the third derivative of 0 + 1/105*x**7 + 0*x**4 + 1/30*x**5 + 1/30*x**6 + 0*x + 3*x**2 + 0*x**3. Factor m(t).
2*t**2*(t + 1)**2
Let a(y) be the third derivative of 0*y + 0*y**4 + 0 + 1/360*y**5 - 1/3*y**3 - 1/1080*y**6 + y**2. Let s(t) be the first derivative of a(t). Solve s(o) = 0.
0, 1
Let g = 182/3 + -60. Let w(h) be the second derivative of 0 - h**2 - h - g*h**3 - 1/6*h**4. Factor w(q).
-2*(q + 1)**2
Let n(w) = 12*w**4 - 14*w**3 + 4*w - 12. Let z(t) = t**4 - t**2 - t. Let q(k) = -2*n(k) + 20*z(k). Find i such that q(i) = 0.
-1, 1, 6
Let m = 2341/15 + -156. Let a(i) be the third derivative of -1/24*i**8 - 1/20*i**6 + m*i**5 + 0 + 0*i**3 + 0*i - 2*i**2 - 4/35*i**7 + 0*i**4. Factor a(k).
-2*k**2*(k + 1)**2*(7*k - 2)
Let m(q) = q - 5. Let h be m(6). Factor -8*v - h - 6*v**3 - 44*v**3 + 60*v**2 + 80*v + 17.
-2*(v - 2)*(5*v + 2)**2
Let j(v) be the second derivative of v**5/100 + 3*v**2/2 - 9*v. Let y(t) be the first derivative of j(t). Factor y(i).
3*i**2/5
Let b(c) be the third derivative of -2/3*c**3 - 26/105*c**7 + 7/6*c**4 + 11/15*c**6 - 6/5*c**5 - c**2 + 0*c + 1/28*c**8 + 0. What is h in b(h) = 0?
1/3, 1
Let g(m) = -15*m**2 + 15*m + 10. Let f(r) = -r. Let o(x) = 10*f(x) + g(x). Factor o(l).
-5*(l - 1)*(3*l + 2)
Let c = 19 + -16. Solve 16 + 36*r**2 + 21*r - 6*r**c + 19*r + 20*r**3 + 0*r + 2*r**4 = 0 for r.
-2, -1
Suppose 0 = -6*t - 0*t. Determine h so that 0 + 1/2*h**4 + 1/2*h**2 - h**3 + t*h = 0.
0, 1
Let l(f) = f**3 + f**2 - f. Let a(j) = -26*j**2 - 8*j. Let t(v) = -a(v) - 4*l(v). Factor t(h).
-2*h*(h - 6)*(2*h + 1)
Let x(r) = 4*r**2 + 2*r + 1. Let h be x(-1). Suppose -h*i = -8 + 2. Factor -4*v**3 + v**i + 3*v**2 + 5*v**4 - 3*v**2 - 2*v**5.
-v**2*(v - 1)**2*(2*v - 1)
Factor 0 + 0*u**3 - 3/4*u**5 - 3/2*u**2 + 3/4*u + 3/2*u**4.
-3*u*(u - 1)**3*(u + 1)/4
Let n(x) be the third derivative of -1/21*x**3 + 0*x + 1/420*x**5 - 1/168*x**4 + 0 + 4*x**2. Factor n(g).
(g - 2)*(g + 1)/7
Determine x so that x**4 + 7*x**5 + 3*x**4 - 4*x**5 + x**5 = 0.
-1, 0
Determine z so that 0*z - 35/2*z**3 + 25/2*z**4 + 15/2*z**2 + 0 - 5/2*z**5 = 0.
0, 1, 3
Let p(x) be the second derivative of x**7/14 + x**6/40 - 39*x**5/160 - x**4/32 + 5*x**3/16 - 3*x**2/16 - 14*x. What is c in p(c) = 0?
-1, 1/4, 1/2, 1
Let v = 8 + -6. Factor -4*g**3 + 2*g + 0*g**3 + 6*g**3 - 4*g**3 - v*g**4 + 2*g**2.
-2*g*(g - 1)*(g + 1)**2
Let r(m) be the third derivative of 3*m**6/260 - m**5/65 - 5*m**4/39 - 8*m**3/39 - 17*m**2. Find b, given that r(b) = 0.
-2/3, 2
Let d(a) be the second derivative of 0*a**2 + 1/3*a**3 + 1/3*a**4 + 1/10*a**5 + 8*a + 0. Let d(s) = 0. Calculate s.
-1, 0
Let a(y) = 24*y**3 + 84*y**2 + 86*y + 6. Let s(p) = p**3 + p**2 + p - 1. Let h(x) = 2*a(x) - 20*s(x). Factor h(t).
4*(t + 1)*(t + 4)*(7*t + 2)
Let b(a) be the second derivative of 3*a**5/5 + 43*a**4/3 + 322*a**3/3 + 98*a**2 - 8*a. Factor b(r).
4*(r + 7)**2*(3*r + 1)
Let g(a) be the third derivative of a**7/420 - a**6/120 + a**5/120 + 20*a**2. Factor g(f).
f**2*(f - 1)**2/2
Let l(u) be the first derivative of -u**4/12 + 2*u**3/3 - 5*u**2/6 + 12. Factor l(f).
-f*(f - 5)*(f - 1)/3
Let s(v) = -v. Let g(n) = n**3 + 2*n**2 + 2*n. Let x(w) = 3*g(w) + 3*s(w). Factor x(r).
3*r*(r + 1)**2
Let b(f) be the first derivative of 2*f**3/33 + 26*f**2/11 + 338*f/11 + 14. Factor b(n).
2*(n + 13)**2/11
Let a(l) be the first derivative of 3/2*l**2 + 1/60*l**5 + 1/48*l**4 + 1/240*l**6 + 0*l - 1 + 0*l**3. Let w(k) be the second derivative of a(k). Factor w(s).
s*(s + 1)**2/2
Suppose 10*l - 13*l + 9 = 0. Let o(v) be the first derivative of -2*v**2 + 4*v + 1/3*v**l - 2. Suppose o(w) = 0. What is w?
2
Factor 12*n - 36*n**2 + 66*n**2 + 16 - 34*n**2.
-4*(n - 4)*(n + 1)
Let c = 1 + -1. Let o(u) be the third derivative of -1/420*u**7 + 0*u**4 + c*u**3 + 0 + 0*u**6 + 0*u + 1/120*u**5 + u**2. Determine l so that o(l) = 0.
-1, 0, 1
Let z(k) = -7*k**2 - 7*k + 6. Let b(p) = -6*p**2 - 7*p + 6. Let a(l) = -l**2 + l + 4. Let t be a(0). Let r(c) = t*b(c) - 3*z(c). Factor r(y).
-(y + 3)*(3*y - 2)
Suppose -14*s - 8 = -36. Factor -4/7*g**4 + 0 + 0*g + 0*g**s + 2/7*g**5 + 2/7*g**3.
2*g