 8*t. Let z(a) be the third derivative of 0 - 1/32*a**4 + 0*a + 1/4*a**t - a**2 - 1/80*a**5. Determine g so that z(g) = 0.
-2, 1
Let r be ((-792)/30 + 2)/((-6)/15). Let x = 65 - r. Factor 4/11*c**3 - 2/11*c**5 - 4/11*c**x + 16/11*c**2 + 4/11 + 14/11*c.
-2*(c - 2)*(c + 1)**4/11
Suppose 2*j = -4*i - 400, 3*j - 5*i = -2*j - 1030. Let f be j/(-33) + (-8)/44. Factor 2*d**2 + 2*d + 2*d**3 - 4*d**2 - f*d.
2*d*(d - 2)*(d + 1)
Let p be 0/((19 - 4)/3 + -4). Let s(k) be the third derivative of 1/6*k**4 + 4/3*k**3 + 6*k**2 + p - 1/15*k**5 + 0*k. Factor s(n).
-4*(n - 2)*(n + 1)
Suppose 4*d + 330 = -d. Let s be d/(-14) - (2 + 1). Factor -6/7*b**2 - 8/7 + s*b + 1/7*b**3.
(b - 2)**3/7
Let m(u) = 10*u**2 + 11 - 9*u**2 - 11. Let c(g) be the third derivative of -g**5/15 - g**4/12 - 3*g**2. Let i(r) = -c(r) - 5*m(r). What is a in i(a) = 0?
0, 2
Let c(q) = -6*q**5 - 15*q**4 - 21*q**3 + 71*q**2 - 40*q + 11. Let y(h) = h**5 + 3*h**4 + 4*h**3 - 14*h**2 + 8*h - 2. Let m(s) = -2*c(s) - 11*y(s). Factor m(n).
n*(n - 2)**2*(n - 1)*(n + 2)
Let x be ((-351)/135 + 3)/((-2)/(-10)). Factor 12/7*n - 18/7*n**x - 2/7.
-2*(3*n - 1)**2/7
Let d be 14/(-21) - (14 + -38). Factor 59*i**2 - d*i + 16/3*i**4 - 104/3*i**3 + 8/3.
(i - 4)*(i - 2)*(4*i - 1)**2/3
Let y = -11767/3 + 3923. Solve 2/3*c**3 - y*c**2 + 0 - 2/3*c + 2/3*c**4 = 0.
-1, 0, 1
Let p(s) be the third derivative of 0 + 34*s**2 - 1/588*s**8 + 1/210*s**6 - 2/735*s**7 + 1/105*s**5 + 0*s + 0*s**3 + 0*s**4. Suppose p(r) = 0. What is r?
-1, 0, 1
Let k(c) be the second derivative of c**7/14 - 6*c**6/5 + 21*c**5/4 + 3*c**4 - 18*c**3 + 6*c + 2. Factor k(g).
3*g*(g - 6)**2*(g - 1)*(g + 1)
Let h = 1703 - 1701. Suppose -12/7*k**3 + 15/7*k**h - 6/7 + 3*k = 0. Calculate k.
-1, 1/4, 2
Let -3*g**3 + 0*g**2 - 1/6*g**5 + 9/2*g + 0 + 4/3*g**4 = 0. Calculate g.
-1, 0, 3
Determine j, given that 4*j**2 - 7744 - 5*j**2 + 352*j - 9*j**2 + 4*j**2 + 2*j**2 = 0.
44
Let x(a) be the first derivative of -a**5/12 + 5*a**4/24 + 5*a**3/3 + 3*a**2 + 2. Let l(k) be the second derivative of x(k). Let l(v) = 0. Calculate v.
-1, 2
Let m(g) = -g**2 + 2*g - 2. Let c(t) = -3*t**2 - 315*t - 342. Let i(d) = c(d) - 6*m(d). Let i(a) = 0. What is a?
-1, 110
Let a(z) be the first derivative of 9*z**4/14 - 176*z**3/21 + 61*z**2/7 + 36*z/7 + 147. Factor a(c).
2*(c - 9)*(c - 1)*(9*c + 2)/7
Solve i**3 - 1/4*i**4 - 6 - 11/2*i + 7/4*i**2 = 0 for i.
-2, -1, 3, 4
Determine k so that -2/7*k**2 + 226/7 + 32*k = 0.
-1, 113
Let r = 3/17 - -76/51. Let n(g) be the second derivative of 8/3*g**4 - r*g**3 + 8*g - 9/10*g**5 + 0 - 2*g**2. Factor n(f).
-2*(f - 1)**2*(9*f + 2)
Let y(d) be the third derivative of -d**6/24 + 10*d**5/3 + 5*d**4/24 - 100*d**3/3 + 346*d**2. Factor y(v).
-5*(v - 40)*(v - 1)*(v + 1)
Let f(u) be the first derivative of 17 - 32/3*u**3 + 8*u**2 - 4/5*u**5 + 5*u**4 + 0*u. Find k such that f(k) = 0.
0, 1, 2
Let g = 52 + -71. Let h be 2/10*-1*(g - -17). Find p such that 0 - 4/5*p**3 - 2/5*p**4 + 4/5*p + h*p**2 = 0.
-2, -1, 0, 1
Let g be ((-4)/(-10))/(105*20/1500). Let v = 2531/7 + -361. Solve -4/7*b**2 + v - g*b**3 + 2/7*b = 0 for b.
-2, -1, 1
Let s = 13 - 19. Let k be s*8/468*6/(-4). What is q in 0 - k*q**2 - 2/13*q = 0?
-1, 0
Let u(y) be the first derivative of -24*y - 6*y**3 - 18*y**2 + 10 - 3/4*y**4. Factor u(t).
-3*(t + 2)**3
Let r(m) = 2*m + 13. Let x be r(-4). Suppose 2*s + 4*c = 7*s - 22, 4*s = -c + x. Factor 0 - 2/11*g**s + 4/11*g - 2/11*g**3.
-2*g*(g - 1)*(g + 2)/11
Suppose -2*r + 70 = 4*u, 2*r + 3*r = -u + 139. Let l be (r/(-14))/(30/(-35)). Determine y so that -l*y**2 - 27/4*y - 1/4*y**3 - 27/4 = 0.
-3
Let j(f) = -97*f**3 + 586*f**2 - 413*f + 77. Let z(v) = 98*v**3 - 584*v**2 + 414*v - 78. Let k(x) = 2*j(x) + 3*z(x). Suppose k(s) = 0. What is s?
2/5, 5
Let f(j) be the first derivative of -17 + 0*j - 1/21*j**6 + 2/35*j**5 + 0*j**2 + 0*j**3 + 0*j**4. Factor f(y).
-2*y**4*(y - 1)/7
Suppose -2*q + 8 + 0 = 0. Suppose -11*s - 3*s - 18*s + 28 + q*s**2 = 0. What is s?
1, 7
Find m such that 27/4*m + 21 + 3/8*m**2 = 0.
-14, -4
Let r(s) be the third derivative of -s**5/15 - 2*s**4/3 + 10*s**3/3 + 60*s**2. Determine x, given that r(x) = 0.
-5, 1
Let q(s) = s**2 - 175*s + 1196. Let o be q(7). Factor -5/4*p**3 - o*p - 35/4*p**2 - 15.
-5*(p + 2)**2*(p + 3)/4
Let w(l) be the third derivative of 2/5*l**7 + 18*l**2 + 4/15*l**5 - 3/28*l**8 + 0 + 0*l**3 + 0*l**4 + 0*l - 8/15*l**6. Solve w(f) = 0.
0, 2/3, 1
Let b(l) be the first derivative of -14/3*l**3 + 0*l + 4*l**4 + 0*l**2 + 1 - 2/5*l**5. Factor b(t).
-2*t**2*(t - 7)*(t - 1)
Suppose 8 = 12*o - 40. Let z(w) be the second derivative of 1/5*w**6 + 0 - 6*w - 2/3*w**o + 1/5*w**5 + w**2 - 2/3*w**3. Factor z(p).
2*(p - 1)*(p + 1)**2*(3*p - 1)
Let t(r) be the third derivative of -r**6/150 - r**5/75 + r**4/15 + 87*r**2. Factor t(j).
-4*j*(j - 1)*(j + 2)/5
Let y = -50614/7 - -36217/5. Let u = y - 80/7. Let -a**2 - u*a - 2/5 = 0. Calculate a.
-1, -2/5
Let u(p) be the first derivative of -2*p**3 + p**2 + 2*p - 8. Let k(j) = -7*j**2 + 3*j + 3. Let q(h) = 2*k(h) - 3*u(h). Factor q(o).
4*o**2
Let i(g) be the third derivative of -g**9/105840 + g**7/5880 - g**6/2520 - 19*g**4/24 - 15*g**2. Let l(n) be the second derivative of i(n). Factor l(o).
-o*(o - 1)**2*(o + 2)/7
Suppose -o + 6 = 2*o. Suppose 0 = -o*v - 2*u + 14, -v + 5*u - 14 = v. Solve -3*a + 6*a + 1 - v*a**3 + 5 - 6*a**2 = 0.
-2, -1, 1
Suppose -26*q**3 + 13*q**3 - 10*q**2 + 18*q**3 - 15*q**4 + 20*q**4 = 0. Calculate q.
-2, 0, 1
Let x(s) be the third derivative of 0*s**4 + 1/24*s**6 - 10*s**2 + 0*s**3 + 1/336*s**8 + 2/105*s**7 + 1/30*s**5 + 0 + 0*s. Solve x(z) = 0.
-2, -1, 0
Let h = 462 + -460. Let j(u) be the first derivative of -6*u - 3 - 5*u**h - 2/3*u**3 + 1/2*u**4. Suppose j(x) = 0. Calculate x.
-1, 3
Let z(l) be the first derivative of 2*l**3/9 + 160*l**2/3 + 12800*l/3 + 626. Suppose z(h) = 0. Calculate h.
-80
Suppose 25*s = 39*s - 84. Let o(a) be the third derivative of -1/120*a**6 + 0 - 1/15*a**5 - s*a**2 + 0*a**3 + 0*a - 1/6*a**4. Factor o(j).
-j*(j + 2)**2
Factor -4/9*c**2 + 64 - 572/9*c.
-4*(c - 1)*(c + 144)/9
Let y(p) be the second derivative of 2*p**6/15 + 141*p**5/5 - 143*p**4 + 862*p**3/3 - 288*p**2 - 2*p - 308. Factor y(h).
4*(h - 1)**3*(h + 144)
Let h(b) = -b**2 + 8*b + 4. Let t be h(8). Let u be 7/(-14) + 3/t. Factor 1/2*x - u*x**2 + 0.
-x*(x - 2)/4
Let f(r) be the second derivative of r**4 - 199*r**3/2 - 75*r**2 + 12*r + 1. Factor f(c).
3*(c - 50)*(4*c + 1)
Suppose -114*h - 12*h - 167*h = -0*h. Determine t so that 4/3*t**4 - 1/3*t**5 + 0*t + 0 + 0*t**3 + h*t**2 = 0.
0, 4
Suppose -5*b + 21 = 1. Factor -4*o**3 + 8*o**2 + 4*o**2 - b*o**4 + 20*o + 7 + 2 - 1.
-4*(o - 2)*(o + 1)**3
Let a(y) be the third derivative of -9/490*y**7 - 6/7*y**4 - 8/7*y**3 - 4/35*y**6 - 15*y**2 + 0*y + 0 - 1/784*y**8 - 2/5*y**5. Factor a(d).
-3*(d + 1)*(d + 2)**4/7
Let b(h) be the second derivative of h**5/4 - 5*h**4/12 - 25*h**3/6 - 15*h**2/2 + h - 37. Factor b(t).
5*(t - 3)*(t + 1)**2
Let f(k) be the first derivative of k**6/6 - k**5/4 - 5*k**4/6 + 2*k + 17. Let j(h) be the first derivative of f(h). Solve j(c) = 0 for c.
-1, 0, 2
Let h(g) be the third derivative of g**5/20 + 17*g**4/8 - 42*g**2 + 2. Solve h(x) = 0 for x.
-17, 0
Let b be 1*(7 + (-8)/2). Suppose 3*z + 8 - 2 = 0, 0 = 4*y - 4*z - 24. What is j in -2*j**y + 5 - b*j - 4*j**2 - 4*j - 3 + j**3 + 10*j**2 = 0?
-2, 1/2, 1
Suppose 102*d - 210 = 63 - 69. Suppose 1/2*j**d + 5/2 + 3*j = 0. What is j?
-5, -1
Solve s**2 - 20 + 0 + 12 + 50*s - 30 - 13*s = 0.
-38, 1
Let g(k) be the third derivative of 0*k - 1/60*k**6 + 1/168*k**8 - 1/30*k**5 + 3*k**2 + 1/105*k**7 + 0*k**3 + 0*k**4 + 0. Factor g(c).
2*c**2*(c - 1)*(c + 1)**2
Let r(i) be the third derivative of -i**6/2340 + i**5/195 - 5*i**3/3 - 10*i**2. Let x(f) be the first derivative of r(f). Determine u so that x(u) = 0.
0, 4
Let c(x) be the third derivative of x**8/110880 - x**6/3960 + 17*x**5/60 - 17*x**2. Let z(f) be the third derivative of c(f). Factor z(l).
2*(l - 1)*(l + 1)/11
Let d(o) be the third derivative of 5*o**8/448 - o**7/35 + o**6/160 + o**5/40 - 7*o**2 + 1. Solve d(w) = 0 for w.
-2/5, 0, 1
Let p(n) be the third derivative of -n**5/450 - n**4/20 - 8*n**3/45 - 99*n**2. Factor p(h).
-2*(h + 1)*(h + 8)/15
Let j(d) be the third derivative of 1/120*d**5 + 0*d + 4/3*d**3 + 0 + 1/6