88/3*z + r + 272/3*z**2 + 56*z**3 - 4/3*z**5 + 32/3*z**4 = 0.
-1, 12
Let y(b) be the first derivative of -b**3 - 51*b**2/2 + 255. Factor y(t).
-3*t*(t + 17)
Let r(w) be the first derivative of 1/4*w**2 + 1/12*w**3 + 1/4*w - 3. Determine x, given that r(x) = 0.
-1
Let s(v) be the second derivative of -v**5/55 + 43*v**4/44 - 16*v**3/33 - v + 63. Factor s(d).
-d*(d - 32)*(4*d - 1)/11
Suppose 0 = 4*v - 4*s - 24, -5*v + 31 = -s + 17. Factor -3/5*g**3 - 3/5*g**v + 0 + 0*g.
-3*g**2*(g + 1)/5
Suppose -s + 13 = c, -2*s - 3*s = -2*c + 19. Suppose 10*n - 4*n = c. Find w, given that 2/7*w - 2/7*w**4 + 2/7*w**n + 0 - 2/7*w**3 = 0.
-1, 0, 1
Let s be 1 + 2 + -1 + 0/34. Solve 2/15*q**3 - 2/5*q**s + 0*q + 8/15 = 0.
-1, 2
Let w(m) = -3*m + 7. Let f be w(0). Factor -4 + z**2 - f + 3 - 5*z**2 + 12*z.
-4*(z - 2)*(z - 1)
Let l(h) be the first derivative of 2*h**3/3 + 23*h**2/5 - 4*h + 140. Suppose l(t) = 0. Calculate t.
-5, 2/5
Suppose -52*m = -56*m. Let t(h) be the second derivative of -1/100*h**5 + 3*h + 1/60*h**4 + m + 1/6*h**3 + 3/10*h**2. Suppose t(k) = 0. What is k?
-1, 3
Factor 22/7*w**2 - 44/7*w + 24/7 - 1/7*w**4 - 1/7*w**3.
-(w - 2)**2*(w - 1)*(w + 6)/7
Let v(y) = 122*y**3 + 2*y**2 - y - 2. Let w be v(-1). Let t = w - -125. Factor 1/2*z**t + 1/2*z**3 - z**2 + 0 + 0*z.
z**2*(z - 1)*(z + 2)/2
Let t(w) be the third derivative of -w**8/120 - 58*w**7/525 - 3*w**6/100 + 29*w**5/75 + 4*w**4/15 - w**2 + 27. Let t(i) = 0. Calculate i.
-8, -1, -2/7, 0, 1
Let s = 6034 + -6032. Let 0 + 0*n**s + 0*n**3 + 3/8*n**4 + 0*n = 0. What is n?
0
Let u be (-2 - 21/(-6))/((-2)/(-3)). Let v(c) be the first derivative of 2*c**3 - 4 + u*c**4 + 0*c**2 + 0*c + 3/5*c**5. Factor v(m).
3*m**2*(m + 1)*(m + 2)
Suppose 0 = 7*j - 280 + 245. Suppose 0 = 4*m - 3*n - 15, 5 = j*m - 6*n + 5*n. Let 0*w**2 + 0 + 2/5*w**3 + m*w**4 + 0*w - 2/5*w**5 = 0. What is w?
-1, 0, 1
Factor -4/7*a + 2*a**3 - 10/7*a**2 + 0.
2*a*(a - 1)*(7*a + 2)/7
Let x(m) be the third derivative of -m**6/8 - 23*m**5/20 - 5*m**4/4 + 4*m**3 + 209*m**2. Factor x(c).
-3*(c + 1)*(c + 4)*(5*c - 2)
Let w be 1/((-3)/(-15)) + 0. Suppose 3*i - 16 = -w*i. Determine x, given that -24/11*x - 12/11*x**3 + 2/11*x**4 + 8/11 + 26/11*x**i = 0.
1, 2
Let q(o) be the second derivative of -o**7/105 + o**6/60 - 4*o**2 + 6*o. Let t(z) be the first derivative of q(z). Determine m, given that t(m) = 0.
0, 1
Let z(n) be the second derivative of n**4/66 - n**3/33 + 4*n - 4. Factor z(k).
2*k*(k - 1)/11
Let r(z) be the third derivative of -z**8/105 - z**7/70 + z**6/90 - 13*z**3/6 - 9*z**2. Let x(f) be the first derivative of r(f). Factor x(v).
-4*v**2*(v + 1)*(4*v - 1)
Let w(p) be the second derivative of 1/2*p**2 + 11*p + 0 - 1/18*p**4 + 5/18*p**3. Factor w(s).
-(s - 3)*(2*s + 1)/3
Let d(s) = -s**3 + 4*s**2 + 10*s + 7. Let h be d(6). Let j(y) = y**2 - 21*y + 14. Let p(k) = -20*k + 15. Let g(a) = h*j(a) + 6*p(a). Factor g(c).
-5*(c - 1)*(c + 4)
Factor -2/9*v**3 + 0 - 16/9*v**2 + 56/3*v.
-2*v*(v - 6)*(v + 14)/9
Let r(d) be the second derivative of d**4/16 - 21*d**3/8 - 33*d**2/4 + 4*d + 6. Factor r(v).
3*(v - 22)*(v + 1)/4
Let k = -374 - -378. Let v(z) be the second derivative of 5/6*z**3 - 2*z - 1/3*z**k + 1/20*z**5 + 0 - z**2. Solve v(f) = 0 for f.
1, 2
Let 0 - 1/3*r**2 + 1/3*r**4 + 0*r + 0*r**3 = 0. What is r?
-1, 0, 1
Let b(l) = l**3 + 1. Let a(n) = -n**2 + 6*n + 2. Let h be a(7). Let r(w) = -5*w**4 - 15*w**3 + 10*w. Let s(x) = h*b(x) - r(x). Solve s(t) = 0.
-1, 1
Let g(u) be the second derivative of u**9/37800 + u**8/16800 - 13*u**4/12 - u. Let s(p) be the third derivative of g(p). Find y, given that s(y) = 0.
-1, 0
Let p(j) = j**4 + j**3 + 3*j - 1. Let b(k) = 7*k**4 - 45*k**3 - 168*k**2 - 167*k - 63. Let h(y) = b(y) - 3*p(y). Suppose h(m) = 0. Calculate m.
-1, 15
Let i(c) be the first derivative of -12 + 0*c**3 - 3*c + 3/5*c**5 + 3*c**2 - 3/2*c**4. Determine z, given that i(z) = 0.
-1, 1
Let d(v) be the first derivative of 3*v**5/140 + 2*v**4/7 + 10*v**3/7 + 24*v**2/7 - 29*v + 31. Let t(x) be the first derivative of d(x). Factor t(i).
3*(i + 2)**2*(i + 4)/7
Let a be -6*((-9)/6)/((-6)/(-10)). Factor -2 - 2 - 8 - 40*k - 3 + a*k**2.
5*(k - 3)*(3*k + 1)
Let t(i) be the third derivative of -i**8/210 - i**7/42 - i**6/90 + i**5/15 + 4*i**3/3 - 20*i**2. Let q(l) be the first derivative of t(l). Factor q(b).
-4*b*(b + 1)*(b + 2)*(2*b - 1)
Let w = 2/283 - -785/9056. Let o(d) be the third derivative of 0 - 5*d**2 + 0*d**5 - 1/160*d**6 - 1/4*d**3 + w*d**4 + 0*d. Factor o(t).
-3*(t - 1)**2*(t + 2)/4
Let y(t) be the first derivative of -t**4/20 - 2*t**3/3 + 23*t**2/10 - 12*t/5 + 13. Factor y(g).
-(g - 1)**2*(g + 12)/5
Let b(o) be the second derivative of 1/4*o**4 + 0 - o**3 + 0*o**2 - o. Factor b(l).
3*l*(l - 2)
Let m(k) = 5*k - 31. Let l be m(7). Let t be (-2)/l - 7/(-10). Factor -1/5*b**5 + 2/5*b**4 + 0*b**2 + 0 + 0*b - t*b**3.
-b**3*(b - 1)**2/5
Let i(t) = -71*t + 195 + 372*t**2 - 37*t**2 - 70*t**3 - 224*t. Let l(y) = -5*y**3 + 24*y**2 - 21*y + 14. Let z(x) = 4*i(x) - 55*l(x). Factor z(p).
-5*(p - 2)*(p - 1)**2
Let s(u) be the second derivative of u**4/78 - 10*u**3/39 - 291*u + 1. Solve s(p) = 0.
0, 10
Solve -4/3*b**3 - 16/3*b**2 + 16/3 + 4/3*b = 0.
-4, -1, 1
Let f(n) be the second derivative of 1/10*n**5 + 9*n + 0 - 1/60*n**6 + 0*n**2 + 0*n**3 - 1/6*n**4. Let f(m) = 0. What is m?
0, 2
Let h(p) = p - 1. Let z be h(6). Determine u so that -8*u**3 + u**5 - 5*u**z + 0 + 12*u**4 + 12*u - 4 - 8*u**2 = 0.
-1, 1
Let m(k) be the second derivative of k**4/48 + k**3/24 - k**2/4 - 857*k. Find p, given that m(p) = 0.
-2, 1
Let g(t) be the second derivative of -t**6/60 + 3*t**5/40 + 3*t**4/8 + 5*t**3/12 + 62*t. Solve g(f) = 0 for f.
-1, 0, 5
What is a in 584/7*a + 1368/7*a**2 + 64/7 + 162/7*a**3 = 0?
-8, -2/9
Let v = -169175/24 - -7050. Let w(u) be the second derivative of -7*u + 5/6*u**3 + 3/8*u**5 + v*u**4 + 0*u**2 + 0. Let w(p) = 0. What is p?
-1, -2/3, 0
Factor -86/11*t + 14/11*t**3 - 20/11 - 52/11*t**2.
2*(t - 5)*(t + 1)*(7*t + 2)/11
Suppose -11*t + 9*t = -8. Suppose s = -4*d + 10, t*d - 15 - 3 = -5*s. Factor 0 - 1/7*c**d - 1/7*c.
-c*(c + 1)/7
Let o(v) be the third derivative of -1/42*v**7 + 0*v + 0*v**3 + 20*v**2 + 0*v**5 + 0 - 1/8*v**6 + 5/6*v**4. Let o(w) = 0. What is w?
-2, 0, 1
Let f(j) be the third derivative of -j**9/12096 - j**8/3360 - j**7/3360 + 11*j**3/3 + 20*j**2. Let m(h) be the first derivative of f(h). Solve m(y) = 0 for y.
-1, 0
Let b be 5/1 - (-10 + 12). Let l(r) be the second derivative of 0 - 1/6*r**4 - 2/3*r**b + 0*r**2 + 4*r. Factor l(s).
-2*s*(s + 2)
Suppose 0 = 4*g + j - 6*j - 3, -2*g = -4*j. Factor -4/11 - 2/11*h**g + 6/11*h.
-2*(h - 2)*(h - 1)/11
Find w, given that -109*w**2 - 45 - 50*w**4 - 88*w**2 - 191*w - 140*w**3 + 25*w**4 + 11*w - 53*w**2 = 0.
-3, -1, -3/5
Let h = 580156/23 - 25224. Let -2/23*d + h - 2/23*d**2 = 0. What is d?
-2, 1
Let a = 49/5 - 191/20. Let f be (1 - 2)*(-3 + 3). Find i such that a*i**3 + f*i + 0 - 1/4*i**2 = 0.
0, 1
Let u(v) be the second derivative of 0*v**2 - 17*v + 0*v**3 + 1/14*v**4 + 0 + 3/140*v**5. Factor u(o).
3*o**2*(o + 2)/7
Let u be (2/(-35))/((-6)/(-168)*-4). Let c(q) be the first derivative of -1/5*q**2 + 2/15*q**3 + 1/10*q**4 - u*q + 1. Find z, given that c(z) = 0.
-1, 1
Suppose -11*r + 8*r = -36. Solve 25*l**3 - 7*l - 4*l**4 - r*l**2 - 13*l**3 + 11*l = 0 for l.
0, 1
Let w(q) be the first derivative of q**6/40 - q**5/10 - q**4/8 + q**3 + 6*q**2 - 4. Let y(v) be the second derivative of w(v). Factor y(u).
3*(u - 2)*(u - 1)*(u + 1)
Let l = 730 + -43799/60. Let y(o) be the second derivative of -1/9*o**3 - l*o**5 + 1/12*o**4 + 0*o**2 + 0 + o. Let y(t) = 0. What is t?
0, 1, 2
Suppose -17*d = -19*d + 18. Factor 5 - d + 5*f**3 - 3*f**2 - f - 2*f**4 + 5.
-(f - 1)**3*(2*f + 1)
Let b(x) = -x**3 - 3*x**2 + 7*x + 18. Let k(g) = -g**3 - g**2 + g - 2. Let d(s) = b(s) + k(s). Solve d(y) = 0.
-2, 2
Let a be ((-435)/(-105))/1 - 3. Determine w so that -a*w**2 - 6/7*w**3 - 2/7*w + 0 = 0.
-1, -1/3, 0
Let x = 90 + -162. Let s = 505/7 + x. Suppose 3/7*a**2 - 3/7*a**4 + 2/7*a - s*a**3 - 1/7*a**5 + 0 = 0. What is a?
-2, -1, 0, 1
Let k(w) be the second derivative of -w**6/504 + w**5/210 + w**4/168 - w**3/2 - 17*w. Let m(t) be the second derivative of k(t). Let m(h) = 0. Calculate h.
-1/5, 1
Let r be 3/(-9) + 15/(-9). Let p be r*