e of 2*u**3/21 - u**2 - 29. Let w(q) = 0. Calculate q.
0, 7
Let o = 17 - 9. Suppose -36*n**3 - 4*n**5 + 39*n**4 - o*n**5 - 16 + 35*n**4 + 48*n - 30*n**4 - 28*n**2 = 0. What is n?
-1, 2/3, 1, 2
Let w(m) = -17*m - 12. Let h be w(-1). Factor 4 - 5*z**2 + 8*z**2 - h*z**2 - 2*z**2.
-4*(z - 1)*(z + 1)
Let 4*f + 12 + 15*f + 68 + f + 5*f**3 - 20 - 35*f**2 = 0. What is f?
-1, 2, 6
Let a(x) = -52*x**2 - 296*x - 4624. Let p(o) = 2*o**2 + o. Let w(m) = -a(m) - 24*p(m). Factor w(d).
4*(d + 34)**2
Factor -2/3*w**3 - 2/3*w**2 + 4/3*w + 0.
-2*w*(w - 1)*(w + 2)/3
Let z be (11 - 30 - -10) + 11. Solve 4/7*l**3 + 6/7 - 5/7*l - l**z = 0.
-1, 3/4, 2
Factor 0*r**3 + 0*r - 3/2*r**5 + 3/2*r**4 + 0*r**2 + 0.
-3*r**4*(r - 1)/2
Let y(i) = i**3 + 9*i**2 + 36*i - 4. Let f(r) = r**3 + 8*r**2 + 35*r - 5. Let g(x) = 4*f(x) - 5*y(x). Factor g(s).
-s*(s + 5)*(s + 8)
Let a(m) be the third derivative of -1/56*m**7 + 0 + 0*m - 1/120*m**5 + 13/480*m**6 + 33*m**2 + 0*m**4 + 0*m**3. Factor a(x).
-x**2*(3*x - 2)*(5*x - 1)/4
Let k(o) be the second derivative of -o**4/32 + 9*o**3/8 + 57*o**2/16 - 102*o. Factor k(y).
-3*(y - 19)*(y + 1)/8
Factor -449*k**4 - 22*k**3 + 163 - 10*k - 66*k**2 + 447*k**4 - 63.
-2*(k - 1)*(k + 2)*(k + 5)**2
Let a be (2/(-2))/((-1)/5). Suppose 4*b - u + 0*u = 24, 3*u = a*b - 37. Suppose -b*k**4 - 4*k**2 + 15*k**4 + 0*k**3 + 6*k**3 = 0. What is k?
-1, 0, 2/5
Let 70*p**3 - 795*p**4 + 402*p**4 - 179*p + 749*p + 315 + 320*p**2 + 398*p**4 = 0. Calculate p.
-7, -3, -1
Let b(r) be the second derivative of -r**5/20 + r**4/8 + r**3 + 9*r**2/2 - 9*r. Let m(n) be the first derivative of b(n). Determine j, given that m(j) = 0.
-1, 2
Suppose -1/3*q**4 + 5/3*q**3 + 5/3*q**2 - 4/3 - 4/3*q - 1/3*q**5 = 0. What is q?
-2, -1, 1, 2
Let v(w) be the first derivative of 4*w**3/21 + 10*w**2/7 + 16*w/7 - 384. Factor v(g).
4*(g + 1)*(g + 4)/7
Let n(z) be the first derivative of 0*z + 23 + 3/5*z**5 + 8*z**3 - 15/4*z**4 - 6*z**2. Factor n(w).
3*w*(w - 2)**2*(w - 1)
Factor -2/11*u**3 + 0 + 8/11*u**2 + 10/11*u.
-2*u*(u - 5)*(u + 1)/11
Let 5*x**2 + 0*x**5 - 15*x**2 + 0*x**5 - 2*x**5 + 2*x**3 + 10*x**4 = 0. Calculate x.
-1, 0, 1, 5
Let i(f) be the second derivative of 10/3*f**3 + 1/6*f**6 + 0 + f**5 + 5/2*f**2 + 7*f + 5/2*f**4. Factor i(w).
5*(w + 1)**4
Let z = 5 + -9. Let x(r) = r**2 + 2*r - 3. Let p be x(z). Suppose 13*j - j**p + 2*j**2 - 13*j + 3*j**3 = 0. What is j?
-1, 0, 2
Let v be -3*(-4)/(-20)*(-10)/2. Factor -6 - 12*l - 3/2*l**v - 15/2*l**2.
-3*(l + 1)*(l + 2)**2/2
Let s be (-3)/((1 + -10)/3). Suppose -3 = -2*r + s. Factor 3*i**r + 0*i + 2*i - 2*i**2 - 4*i.
i*(i - 2)
Let n(c) be the third derivative of -c**5/140 + 3*c**4/14 - 11*c**3/14 - 30*c**2. Find l, given that n(l) = 0.
1, 11
Let a be 7 - (-10)/(-5) - 3. Factor -18*d**2 + 8*d**3 + 7*d - 4 + 4*d + a + d.
2*(d - 1)**2*(4*d - 1)
Let z be 4/7*(-84)/(-24). Solve -u**2 - u**2 + 3*u**z - u = 0 for u.
0, 1
Factor 340 - 5*t**3 + 94*t**2 - 8*t**2 - 11*t - 31*t**2 + 100*t**2 + 511*t.
-5*(t - 34)*(t + 1)*(t + 2)
Let j = -15 + 17. Factor -20 + j*z**2 + 0*z + 14*z - 7*z**2 + 6*z.
-5*(z - 2)**2
Determine g so that 205*g**2 + 10 + 24*g - 9 - 23 - 207*g**2 = 0.
1, 11
Let j(b) be the second derivative of 2/3*b**3 + 0*b**2 + 1/3*b**4 + 0 + 10*b. Find g, given that j(g) = 0.
-1, 0
Let z be (1/2)/(-1 - 28/(-26)). Let x = z - 61/10. Suppose x*n - 2/5*n**3 - 2/5*n**2 + 2/5*n**4 + 0 = 0. Calculate n.
-1, 0, 1
Let p(x) be the second derivative of x**5/50 + 3*x**4/10 + 14*x**3/15 + 11*x + 1. Factor p(v).
2*v*(v + 2)*(v + 7)/5
Suppose 4/3*d**4 + 0 - 80/3*d - 28*d**3 + 4/3*d**5 - 164/3*d**2 = 0. Calculate d.
-4, -1, 0, 5
Let l(t) be the second derivative of -3*t**5/140 + 29*t**4/28 - 55*t**3/14 + 81*t**2/14 + 204*t - 1. Determine z, given that l(z) = 0.
1, 27
Let z = -5647/3 + 5648/3. Factor -5/3*o**3 - 7/3*o**2 + 0 - z*o**4 - o.
-o*(o + 1)**2*(o + 3)/3
Let y(t) be the first derivative of -t**3 + 21*t**2 - 147*t - 30. Suppose y(n) = 0. Calculate n.
7
Let g(b) = -155*b**4 + 350*b**3 + 200*b**2 - 440*b. Let j(q) = 7*q**4 - 16*q**3 - 9*q**2 + 20*q. Let w(y) = -2*g(y) - 45*j(y). Suppose w(c) = 0. What is c?
-1, 0, 1, 4
Let l(o) = -o**4 - 12*o**3 - 8*o**2 + 8*o + 4. Let f(q) = 2*q**4 + 23*q**3 + 14*q**2 - 14*q - 7. Let k(g) = -4*f(g) - 7*l(g). Factor k(r).
-r**3*(r + 8)
Let f(j) be the first derivative of 1 + 3/2*j**2 - 3/20*j**4 + 9/10*j**3 + 0*j + 1/100*j**5. Let q(v) be the second derivative of f(v). Factor q(t).
3*(t - 3)**2/5
Let r(x) be the second derivative of x**5/20 + x**4/9 - x**3/18 - x**2/3 + 3*x - 28. Suppose r(i) = 0. Calculate i.
-1, 2/3
Let j(d) be the second derivative of 3*d**5/80 + d**4/16 - d**3/2 - 3*d**2/2 - 66*d. Factor j(k).
3*(k - 2)*(k + 1)*(k + 2)/4
Let d(f) be the first derivative of 20*f**3 - 28*f**2 - 4*f - 101. Suppose d(u) = 0. Calculate u.
-1/15, 1
Factor -7/2 - 19/4*n**2 - 37/4*n - 1/2*n**3.
-(n + 2)*(n + 7)*(2*n + 1)/4
Let m(w) be the third derivative of w**6/960 + w**5/160 - 3*w**4/32 - 2*w**2 + 357*w. Find c such that m(c) = 0.
-6, 0, 3
Let c be -9*(22/2 + 5270/(-465)). Find j, given that 35/2*j**c - 15/2*j + 1 + 9*j**2 = 0.
-1, 1/5, 2/7
Find b, given that -170*b**4 + 166*b**4 + 8*b**2 - 4 + 10*b**3 - 10*b**3 = 0.
-1, 1
Suppose 0 = -2*k - w, -20*k + 22*k - 2*w = 0. Let h = -27/5 - -6. Factor k - 3/5*p + 3/5*p**3 - 3/5*p**2 + h*p**4.
3*p*(p - 1)*(p + 1)**2/5
Let s(k) = k**3 - 2*k**2 - 40*k + 96. Let w be s(6). Factor -2/11*v**2 + 2/11 + w*v.
-2*(v - 1)*(v + 1)/11
Let l(z) be the third derivative of z**6/24 + 5*z**5/12 - 5*z**4/6 - 50*z**3/3 + 13*z**2 + 8. Solve l(d) = 0.
-5, -2, 2
Factor 139*k**2 - 75*k**2 + 11*k - 73*k**2 + k**3 + 4*k + 25.
(k - 5)**2*(k + 1)
Let u(o) = -2*o**2 + 28*o - 76. Let n(d) = d**2 - 14*d + 37. Let s(z) = -7*n(z) - 4*u(z). Determine r so that s(r) = 0.
5, 9
Let a = -15 + 12. Let g = a + 5. Factor 4*l**2 + 3*l**g + 2 + 0*l**2 - 9*l.
(l - 1)*(7*l - 2)
Let m(u) = 204*u - 8. Let t be m(1). Factor 0*v**2 - t*v + 216*v - 5*v**2.
-5*v*(v - 4)
Suppose -25/6*j**2 - 7/6*j**4 - 2/3 + 1/6*j**5 + 19/6*j**3 + 8/3*j = 0. Calculate j.
1, 2
Let q(p) be the second derivative of p**4/6 - 5*p**3/3 - 14*p**2 - 70*p. Factor q(y).
2*(y - 7)*(y + 2)
Let z(r) be the first derivative of 20*r**2 - 35/4*r**4 - 5*r**5 - 5/6*r**6 + 5/3*r**3 - 9 + 20*r. Determine u so that z(u) = 0.
-2, -1, 1
Let t(u) be the second derivative of 6/35*u**5 + 0 - 2/21*u**3 + 0*u**2 - 32*u + 1/15*u**6 + 1/14*u**4. Solve t(b) = 0.
-1, 0, 2/7
Suppose 8554*j**4 - 8559*j**4 + 2500*j + 100*j**3 + 27*j**2 - 777*j**2 - 3125 = 0. What is j?
5
Let u be (7/(-54))/(215/(-129)). Let q(r) be the third derivative of -1/18*r**4 + 0*r + 0 - r**2 + 0*r**3 + u*r**5. Find a, given that q(a) = 0.
0, 2/7
Suppose -3*b = -5 + 32. Let c be ((-1)/3)/(1/b). Factor -c - q**2 + 12*q**2 + q + 4*q**2 + 11*q.
3*(q + 1)*(5*q - 1)
Let r be 32/16 - (0 - 4/(-6)). Find i, given that -4/3*i + r*i**3 - 2/3*i**4 + 8/3*i**2 - 2 = 0.
-1, 1, 3
Let w be (-16)/(-18)*(-252)/(-392). Factor 0*g - 1/7*g**5 + 2/7*g**2 + 0 + w*g**4 - 5/7*g**3.
-g**2*(g - 2)*(g - 1)**2/7
Let n(x) be the second derivative of 0 + 0*x**3 + 0*x**2 + 1/7*x**4 + 14*x + 3/35*x**5 - 1/98*x**7 - 1/70*x**6. Find j such that n(j) = 0.
-2, -1, 0, 2
Let l be (1000/150)/((-4)/(-6)). Let f be 18/l + (-6)/(-30). Factor 8/3*g + 2/3*g**f + 8/3.
2*(g + 2)**2/3
Let d(i) be the second derivative of -96*i**3 - 13*i + 1/90*i**6 - 3/5*i**5 + 0 + 12*i**4 + 0*i**2. Let d(h) = 0. Calculate h.
0, 12
Suppose -2*s = -3*f - 21, 3*s - 3*f + 13 - 37 = 0. Let c be 1 + (s - 0) - 1. Factor y**c - 2*y**4 + 11*y - 5*y**3 - 11*y.
-2*y**3*(y + 2)
Suppose 0 = 23*g - 32*g + 45. Let q be 36/(-8)*(20/(-6))/g. Factor -4/15*n + 0 - 2/15*n**q - 2/5*n**2.
-2*n*(n + 1)*(n + 2)/15
Let c(b) be the third derivative of -b**7/245 - b**6/70 - b**5/70 - 495*b**2. Factor c(a).
-6*a**2*(a + 1)**2/7
Let j = 125/176 + -7/16. Let y(b) be the second derivative of 1/66*b**4 + j*b**2 + 0 + 2*b + 4/33*b**3. Factor y(k).
2*(k + 1)*(k + 3)/11
Let m be (8 + 40/(-6))*(2 + 1). Let o(r) be the third derivative of 6*r**4 + 0*r + 32*r**3 + 3/5*r**5 + m*r**2 + 0 + 1/40*r**6. Factor o(h).
3*(h + 4)**3
Let p be 884 + 15 + 2/2. Suppose -p = -v - 39. Factor -v + 3*r**3 + 861 + 6*r - 9*r**2.
3*r*(r - 2)*(r - 1)
Let o(l) = -l. Let i(d) = -25*d**2 - 26*d + 25. Let g(r) = 5*r**2 + 5*r - 5. L