d - 4096. Let g(j) = -2*j**2 - 124*j - 1024. Let t(i) = -2*f(i) + 9*g(i). Factor t(x).
-4*(x + 16)**2
Let d(x) be the second derivative of -5*x**7/7 - 85*x**6/6 - 93*x**5/4 - 65*x**4/6 + 3*x - 49. Determine u, given that d(u) = 0.
-13, -2/3, -1/2, 0
Let q = 42 + -38. Suppose 0 = 2*v + 11 - 17. Factor 4/9 + 46/9*i**v + 26/9*i + 14/9*i**q + 6*i**2.
2*(i + 1)**3*(7*i + 2)/9
Let o(s) be the first derivative of -s**6/18 - 2*s**5/5 + 5*s**4/6 + 52*s**3/9 - 35*s**2/2 + 50*s/3 + 175. Find w, given that o(w) = 0.
-5, 1, 2
Let y = 54 - 82. Let o be (((-30)/y)/5)/(30/35). Solve -o*a**2 + 0 + 1/2*a = 0.
0, 2
Let u(c) be the third derivative of 4 - 1/48*c**6 + 0*c + 0*c**4 + 2*c**2 - 1/24*c**5 + 0*c**3. Suppose u(w) = 0. Calculate w.
-1, 0
Let a(x) = -13*x**3 + 65*x**2 - 179*x - 245. Let d(f) = -2*f**3 - f. Suppose -2*p = 2*t + 10, p + 3*t + 0*t + 7 = 0. Let b(h) = p*d(h) + a(h). Factor b(o).
-5*(o - 7)**2*(o + 1)
Let g be (-4 + 1 - -3)/((-4)/(-4)). Let n(v) be the second derivative of 1/12*v**4 + g + v - 1/3*v**3 + 0*v**2. Factor n(f).
f*(f - 2)
Let 12/5 + 4/5*v**2 + 16/5*v = 0. Calculate v.
-3, -1
Let v = 16 + -13. Suppose 4*q - v = 5. What is t in 5*t**q + 0*t**3 - 2*t**2 - 3*t**4 + 0*t**4 - 3*t**3 + 3*t = 0?
-1, 0, 1
Let s(b) be the second derivative of -b**6/40 + 3*b**5/16 - 3*b**4/8 - 7*b + 2. Factor s(r).
-3*r**2*(r - 3)*(r - 2)/4
Let s(q) be the first derivative of -q**6/24 + q**5/5 + 9*q**4/16 - 8*q**3/3 - 7*q**2/2 + 12*q - 105. Suppose s(r) = 0. What is r?
-2, 1, 3, 4
Let y = 149 - 122. Let c be 15/y*(-24)/(-20). Determine k, given that -5/3*k**4 + 4*k**3 + c*k + 0 - 3*k**2 = 0.
0, 2/5, 1
Find g such that 3*g**3 - 2*g**4 + 17*g**4 + 13*g**3 - g**2 - 5*g**2 - 9*g**4 = 0.
-3, 0, 1/3
Let b be (-385)/(-121) - (-4)/(-22). Suppose -b*q**4 + q**5 + 3*q**3 - 2*q**4 + 3*q**3 + q + q**4 - 4*q**2 = 0. Calculate q.
0, 1
Factor 0 - 2/11*q**4 - 352*q + 174/11*q**3 - 336*q**2.
-2*q*(q - 44)**2*(q + 1)/11
Factor 13*n**3 + 38*n**3 + 12 - 4*n**2 - 40*n - 3*n**3.
4*(n + 1)*(3*n - 1)*(4*n - 3)
Let o be (-17)/12 - -1 - (-66)/99. Let f(z) be the first derivative of -3/2*z**2 + z + z**3 - o*z**4 - 1. Find a such that f(a) = 0.
1
Let v(p) be the second derivative of -p**6/90 - 2*p**5/15 - 13*p**4/36 - p**3/3 - 51*p. Find x, given that v(x) = 0.
-6, -1, 0
Determine r so that 74*r + 0*r**3 + 30*r**2 - 2*r**3 - 42*r = 0.
-1, 0, 16
Let w(f) be the third derivative of -2*f**7/105 + 16*f**6/15 - 256*f**5/15 + 84*f**2 - 2. Let w(p) = 0. What is p?
0, 16
Let f be 7/(-28) - (-2 + (-533)/4). Let p = f + -135. Find m, given that -1/3*m**2 + p + m = 0.
0, 3
Suppose 2/11*p**5 + 0 + 6/11*p**3 + 8/11*p**4 - 8/11*p - 8/11*p**2 = 0. What is p?
-2, -1, 0, 1
Let s(k) = k**4 - k**3 + k**2 - k - 1. Let c(r) = -23*r**3 - 3*r - 1 + 1 + r**4 - 3 - 5*r**2 - 42*r**2. Let b(m) = -c(m) + 3*s(m). Solve b(h) = 0.
-5, 0
Let v(f) be the second derivative of 1/90*f**5 + 1/540*f**6 + 0 + 1/27*f**3 - f**2 + f + 1/36*f**4. Let g(s) be the first derivative of v(s). Factor g(t).
2*(t + 1)**3/9
Let k(z) = 37*z**3 + 72*z**2 - 8*z - 58. Let t(r) = 19*r**3 + 36*r**2 - 4*r - 30. Let u(f) = 3*k(f) - 5*t(f). Factor u(v).
4*(v + 1)*(v + 2)*(4*v - 3)
Let u be 76/608 - (-15)/8. Let c(t) be the first derivative of -38/15*t**3 + 0*t + 47/10*t**4 - 12/5*t**5 - 13 + 2/5*t**u. Find m, given that c(m) = 0.
0, 1/6, 2/5, 1
Let c be (-1 - 1)/(-5 - (-91)/21). Factor -c*q + 4*q**2 - 25 + 33 - 9*q.
4*(q - 2)*(q - 1)
Let u(c) be the second derivative of -c**7/70 + 2*c**6/15 + 16*c**5/25 - c**4/30 - 61*c**3/30 - 9*c**2/5 + 261*c. Find m such that u(m) = 0.
-2, -1, -1/3, 1, 9
What is r in 0 + 1/4*r**3 - 3/2*r**2 + 2*r = 0?
0, 2, 4
Suppose -46*n + 2*n = 0. Let s(o) be the second derivative of 1/8*o**3 + 4*o + n + 0*o**2 - 1/16*o**4. Factor s(v).
-3*v*(v - 1)/4
Factor 216*r**2 - 86*r - 321*r - 25*r + 180*r**3 + 8*r**4 + 2*r**5 + 32*r**4 - 6*r**4.
2*r*(r - 1)*(r + 6)**3
Suppose -6*j - 37715 = 22*j - 37771. Factor 4/5*m**j - 72/5*m + 324/5.
4*(m - 9)**2/5
Let 50/3*w**3 + 50*w - 2*w**4 - 12 - 142/3*w**2 = 0. Calculate w.
1/3, 2, 3
Let r = 79/850 + 3/425. Let x(a) be the third derivative of -2/15*a**5 + r*a**6 + 0*a + 0 - 2/105*a**7 + 0*a**4 + 2*a**2 + 0*a**3. Let x(p) = 0. What is p?
0, 1, 2
Let z(u) = 5*u**5 - 2*u**4 - 5*u**3 - u**2 - 3. Let b(d) = -d**5 + d**4 + d**3 + 1. Let g(s) = -3*b(s) - z(s). Let g(p) = 0. Calculate p.
-1, -1/2, 0, 1
Let s(l) = 67*l**3 - 52*l**2 + 21*l - 6. Let g(t) = -136*t**3 + 101*t**2 - 43*t + 13. Let j(q) = -6*g(q) - 13*s(q). Factor j(r).
-5*r*(r - 1)*(11*r - 3)
Let k = -895 - -906. Let v(g) be the third derivative of -2/3*g**4 - k*g**2 + 0*g + 2/15*g**6 - 2/3*g**3 - 2/15*g**5 + 0 + 2/35*g**7. Factor v(j).
4*(j - 1)*(j + 1)**2*(3*j + 1)
Suppose 5*j + 35 = -5*c - 165, -j = -2*c - 65. Let m = c - -98. Let 6 - 54*x**3 + 166*x**3 + 128*x**3 + 69*x**2 + m*x + 147*x**2 = 0. What is x?
-2/5, -1/4
Let n(u) be the second derivative of u**4/54 - 70*u**3/9 + 1225*u**2 - 7*u + 17. Factor n(a).
2*(a - 105)**2/9
Let h(o) = -19*o**2 - 647*o - 29. Let u be h(-34). Factor 4/11*p**3 + 0 + 2/11*p**u + 0*p**2 + 6/11*p**4 + 0*p.
2*p**3*(p + 1)*(p + 2)/11
Find h such that -39/4*h - 9/4*h**2 + 12 = 0.
-16/3, 1
Let o(q) = -q + 5. Let y be o(0). Solve 2*d**5 + 8*d**2 - 8*d**y + 4*d**5 + 8*d**4 - 2*d - 12*d**3 = 0.
0, 1
Let m(g) be the first derivative of -g**4/4 + 16*g**3/15 - 13*g**2/10 + 2*g/5 - 40. Determine d, given that m(d) = 0.
1/5, 1, 2
Suppose 4*j + 3 + 5 = -5*o, -5*o - 7*j - 14 = 0. Let h(v) be the first derivative of v**4 - 2*v**2 + o*v**3 - 2*v + 7 + 2/5*v**5. What is b in h(b) = 0?
-1, 1
Let z(y) = y**2 + 124*y - 3. Let a(b) = -b**2 - 2*b + 1. Let q(o) = -3*a(o) - z(o). Solve q(r) = 0 for r.
0, 59
Let s(n) be the first derivative of n**6/45 + n**5/10 - n**4/2 + 5*n**3/9 + 4*n + 8. Let m(x) be the first derivative of s(x). Factor m(k).
2*k*(k - 1)**2*(k + 5)/3
Let j(y) be the second derivative of y**6/60 + 3*y**5/40 - y**4/6 + 105*y. Factor j(m).
m**2*(m - 1)*(m + 4)/2
Factor -2/7*a**2 - 8/7 - 8/7*a.
-2*(a + 2)**2/7
Let i(k) be the third derivative of -15*k**2 + 7/540*k**6 + 11/108*k**4 + 0*k - 8/135*k**5 + 0 - 2/27*k**3. Let i(b) = 0. What is b?
2/7, 1
Let n = -40 - 29. Let x = -67 - n. Factor 6/5*z**x - 4/5 - 2/5*z.
2*(z - 1)*(3*z + 2)/5
Let v be -1*(-3)/(-6)*-1*10. Determine m, given that -6/5 + 78/5*m**3 + 0*m**2 - 27/5*m**v - 27/5*m - 18/5*m**4 = 0.
-2, -1/3, 1
Suppose 0 = -v - 2*q + 8, 2*q = 4*v + 5*q - 12. Factor -g**2 - 4*g - 1 + v + 0 - 3.
-(g + 2)**2
Let j(i) = -i**4 - 14*i**3 + 10*i**2 - 2*i + 5. Let d(k) = -15*k**3 + 12*k**2 - 3*k + 6. Let o(q) = -5*d(q) + 6*j(q). Determine r so that o(r) = 0.
-1, 0, 1/2
Let r(z) be the first derivative of 0*z**3 - 7/2*z**5 + 5/24*z**6 + 0*z**2 + 0*z - 2 + 245/16*z**4. Factor r(i).
5*i**3*(i - 7)**2/4
Let n(f) be the third derivative of 0 - 5/24*f**6 - 2/21*f**7 - 19*f**2 + 0*f + 5/336*f**8 + 0*f**3 + 0*f**4 + 0*f**5. Suppose n(m) = 0. Calculate m.
-1, 0, 5
Let c(g) be the second derivative of 2*g**6/15 - g**5/5 - 8*g**4/3 + 8*g**3 - 2*g - 14. Let c(f) = 0. Calculate f.
-3, 0, 2
Let v(l) = l**2 - 11*l + 4. Let c be v(11). Suppose -5*p + c = -0*p - 2*y, -3*p = -y - 2. Let s**2 - 3/2*s**3 + 0*s + 1/2*s**4 + p = 0. Calculate s.
0, 1, 2
Let v be (-2 + 31)/1 + 3. Determine h so that -h**2 + 16 - v + 5*h - 13*h = 0.
-4
What is l in 1/2*l**2 - 7*l + 0 = 0?
0, 14
Suppose -38 = 3*g - 53. Let l(h) be the second derivative of 1/6*h**6 + 0 + 0*h**2 + 5/4*h**4 + 0*h**3 + h**g + 4*h. Factor l(n).
5*n**2*(n + 1)*(n + 3)
Let f(d) be the third derivative of -d**8/1344 + d**7/280 + 9*d**6/160 - 59*d**5/240 + 5*d**4/16 + 299*d**2. Solve f(p) = 0 for p.
-5, 0, 1, 6
Suppose 2*s + 3 = -5. Let z be 2/12*(s + 6 - -2). Factor -2*a**3 - z*a - 8/3*a**2 + 0.
-2*a*(a + 1)*(3*a + 1)/3
Let 6/5*w + 0 + 2/5*w**2 = 0. Calculate w.
-3, 0
Suppose 0 = -3*m - 3*o + 25 - 22, -3*o = 5*m - 5. Let i be 3 - m/((-20)/(-35)). Suppose 0 + 15/4*w**2 + 5/4*w - 15/4*w**4 - i*w**3 = 0. Calculate w.
-1, -1/3, 0, 1
Let f(w) be the first derivative of -1/2*w**4 + 16 + 0*w + 9/5*w**5 - 7/6*w**6 + 0*w**2 + 0*w**3. Factor f(t).
-t**3*(t - 1)*(7*t - 2)
Let c(x) be the second derivative of 5*x + 2/3*x**3 + 0 + 5/7*x**2 - 1/14*x**4. Factor c(i).
-2*(i - 5)*(3*i + 1)/7
Let l(g) be the third derivative of 0 + 5*g**2 - 1/24*g**4 +