, 0*z + 4 = p + z. Let s(q) be the second derivative of 1/2*q**2 + p - 1/4*q**3 + 2*q + 1/24*q**4. Determine i so that s(i) = 0.
1, 2
Let b(u) be the second derivative of u**5/20 + u**4/3 + 5*u**3/6 + u**2 - 104*u. Solve b(p) = 0 for p.
-2, -1
Suppose -2*b - 2*w = 0, 3*b + 0*b - 2*w = 0. Let v(o) be the third derivative of b*o**4 + o**2 - 1/90*o**5 + 0*o + 0 + 1/9*o**3. Factor v(a).
-2*(a - 1)*(a + 1)/3
Suppose -4*a - 5*o = -22 - 33, 12 = 4*o. Suppose a = 2*u - 0*u. Solve -9*c**2 + 3*c**5 + 0*c**u + 15*c**3 + c + c - 8*c**4 - 3*c**4 = 0 for c.
0, 2/3, 1
Suppose -2*n = 2*n - 28. Suppose -2*b + n*b - 250 = 0. Find l such that 13*l**3 + 44*l**2 - 4*l - b*l**3 - 4*l - 33*l**3 + 25*l**4 = 0.
0, 2/5, 2
Let v(z) be the third derivative of -z**9/90720 - z**8/60480 + 3*z**5/5 - z**4/24 + 5*z**2 + 7. Let s(b) be the third derivative of v(b). Solve s(x) = 0 for x.
-1/2, 0
Let f = -1 + 7. Let s = f - 3. Solve s*j + j**2 - 2*j - 3*j + 4*j = 0.
-2, 0
Let n(u) be the second derivative of 0 + 13*u - 1/4*u**4 - 2*u**3 - 6*u**2. Factor n(m).
-3*(m + 2)**2
Let j = -22697/21 - -1081. Let n(a) be the second derivative of 1/21*a**4 + 0 + j*a**3 + 2/7*a**2 - 6*a. Find k such that n(k) = 0.
-1
Let w(o) be the first derivative of 2*o**3/9 + 52*o**2/3 + 34*o - 548. Factor w(q).
2*(q + 1)*(q + 51)/3
Let j(u) be the second derivative of -u**6/180 - u**5/120 + u**4/72 + u**3/36 - 240*u + 1. Factor j(a).
-a*(a - 1)*(a + 1)**2/6
Let m(w) be the third derivative of 0*w**6 - 1/735*w**7 + 0*w + 11*w**2 + 0*w**4 - 1/1176*w**8 + 0*w**3 + 0*w**5 + 0. Factor m(i).
-2*i**4*(i + 1)/7
Let i(g) be the first derivative of -12*g**3 + 5*g**4 + 14*g**2 - 4/5*g**5 - 29 - 8*g. Factor i(f).
-4*(f - 2)*(f - 1)**3
Let r(z) = -18*z**2 + 253*z - 102. Let p(d) = -12*d**2 + 169*d - 69. Let u(q) = -8*p(q) + 5*r(q). Solve u(o) = 0.
1/2, 14
Factor 0*w**2 - 29/10*w**3 + 0 + 1/10*w**4 + 0*w.
w**3*(w - 29)/10
Let p(c) = -4*c**2 + 2*c - 3. Let y(r) be the third derivative of -2*r**5/5 + 11*r**4/24 - 17*r**3/6 - 24*r**2. Let u(l) = -34*p(l) + 6*y(l). Factor u(m).
-2*m*(4*m + 1)
Let j = -2 + 5. Suppose -13*g - 2*g + 60 = 0. Determine n so that -10*n**4 + 14*n**g + 4*n**j + 8*n**2 - 12*n**4 - 4*n**5 = 0.
-2, -1, 0, 1
Let t(r) = -r + 9*r - 5*r + 5*r**2 + 0*r - 5*r**3. Let y(a) = 11*a**3 - 9*a**2 - 7*a. Let u(v) = -14*t(v) - 6*y(v). Determine d so that u(d) = 0.
0, 4
Suppose 33*k = 31*k + 2. Suppose -4*p + c + 3 = 0, 0 = p + 2*p - c - k. Factor 3/4*l**p + 0*l + 0 + 1/4*l**3.
l**2*(l + 3)/4
Suppose 0 = -4*t - 2*t + 126. Factor 3*n - 7*n - t*n**2 + 2*n**3 + 19*n**2.
2*n*(n - 2)*(n + 1)
Let g be (-208)/56 + 1 + 3. Let d = -12 - -12. Find i such that d + 0*i**2 + 0*i**4 + 4/7*i**3 - g*i**5 - 2/7*i = 0.
-1, 0, 1
Let y(o) be the second derivative of -1/3*o**3 - 3/4*o**2 - 1/24*o**4 + 0 + 16*o. Suppose y(a) = 0. Calculate a.
-3, -1
Let v(o) be the second derivative of -1/10*o**5 + 1/3*o**3 + 0 + 1/2*o**4 - 12*o - 1/15*o**6 - 2*o**2. Factor v(i).
-2*(i - 1)**2*(i + 1)*(i + 2)
Let i(n) be the third derivative of n**8/360 - 44*n**7/1575 + 103*n**6/900 - 11*n**5/45 + 13*n**4/45 - 8*n**3/45 + 2*n**2 + 25. Find z such that i(z) = 0.
2/7, 1, 2
Let c be (66/3)/(-11) - (-30)/9. Factor -2/3*k**2 - 2*k - c.
-2*(k + 1)*(k + 2)/3
Let y(l) = 90*l - 1800. Let r be y(20). Solve -1/2*w**3 + r - 3/2*w**2 + 2*w = 0 for w.
-4, 0, 1
Let w = 325 - 2924/9. Let h(u) be the first derivative of -4/9*u**2 + 2/9*u**3 - 2/45*u**5 - 8/9*u + w*u**4 - 12. Factor h(x).
-2*(x - 2)**2*(x + 1)**2/9
Let z(v) be the second derivative of 0*v**2 + 2/3*v**3 + 0 + 1/3*v**4 - 3*v. Suppose z(n) = 0. Calculate n.
-1, 0
Let u(i) be the third derivative of -i**7/280 - i**6/80 + i**5/10 - i**2 + 220*i. Factor u(f).
-3*f**2*(f - 2)*(f + 4)/4
Let c(v) = 5*v**2 - 7*v + 6. Suppose -16*j + 11*j + 5 = 0. Let y be c(j). Solve 41/4*b**2 + 1/2 - 43/4*b**y + 11/4*b**3 + 17/4*b - 7*b**5 = 0.
-1, -2/7, -1/4, 1
Suppose 19*g = 17*g + 6. Solve -6/5*c**2 + 4/5*c**g + 4/5 - 6/5*c = 0.
-1, 1/2, 2
Let v(k) = 12*k + 15. Let w(a) = -a**2 - 13*a - 14. Let q(u) = 2*v(u) + 3*w(u). Factor q(b).
-3*(b + 1)*(b + 4)
Factor -24/13*c + 2/13*c**2 - 2.
2*(c - 13)*(c + 1)/13
Suppose -3*g + 3 = 79*f - 77*f, f + 3*g = 3. Solve -2/13*c**4 + 8/13*c + 8/13*c**2 - 2/13*c**3 + f = 0.
-2, -1, 0, 2
Suppose 73*h + 25 = 78*h. Let l(d) be the third derivative of 1/20*d**h - 1/120*d**6 + 0*d - d**2 + 0 - 1/8*d**4 + 1/6*d**3. Factor l(b).
-(b - 1)**3
Let l = 70329/102100 - -6/5105. Let n(o) be the second derivative of -1/5*o**3 + 0*o**2 + o + 3/20*o**4 + 0 + l*o**5 + 9/25*o**6. Suppose n(g) = 0. What is g?
-1, -1/2, 0, 2/9
What is d in 2/13*d**3 - 56/13 + 34/13*d + 20/13*d**2 = 0?
-7, -4, 1
Let p(x) be the third derivative of -1/70*x**7 + 3/40*x**6 - 6*x**2 + 0*x**3 + 1/8*x**4 + 0*x - 3/20*x**5 + 0. Let p(v) = 0. What is v?
0, 1
Let y = 23243 + -23241. Factor 0 + 1/4*v - 1/4*v**y.
-v*(v - 1)/4
Let g(c) be the second derivative of -2/3*c**2 + 9*c + 1/36*c**4 - 1/120*c**5 + 1/9*c**3 + 0. Factor g(q).
-(q - 2)**2*(q + 2)/6
Suppose -2*a + 0 = -2*z - 32, a + 4*z = 26. Suppose -6*f + 0*f = -a. Suppose -3/4 - 3/4*h**f + 3/4*h + 3/4*h**2 = 0. What is h?
-1, 1
Let x(c) be the first derivative of 0*c - 10/3*c**3 + 5/4*c**4 + 5/2*c**2 + 20. Factor x(l).
5*l*(l - 1)**2
Let o(a) be the first derivative of -1/45*a**6 + 0*a + 0*a**4 + 4/45*a**3 + 1/15*a**2 - 2 - 4/75*a**5. Factor o(d).
-2*d*(d - 1)*(d + 1)**3/15
Let a(m) be the second derivative of -m**7/1680 + m**6/240 - m**4/2 + 11*m. Let n(d) be the third derivative of a(d). Factor n(o).
-3*o*(o - 2)/2
Let u(x) be the second derivative of x**8/30240 - x**7/5670 - x**6/3240 + x**5/270 + 19*x**4/12 - 32*x. Let m(i) be the third derivative of u(i). Factor m(c).
2*(c - 2)*(c - 1)*(c + 1)/9
Determine g, given that 15*g**4 + 98*g**2 + 94*g**2 - 12*g**5 - 208*g**2 + 5*g**4 + 16*g**3 = 0.
-1, 0, 2/3, 2
Let l be (-915)/52 - (56/52)/7. Let u = -481/28 - l. Factor 2/7*o**3 + 0 + 2/7*o + u*o**2.
2*o*(o + 1)**2/7
Let t be (-26)/(-6) + (-6)/18. Let 3/4*w**3 + 6 + 21/2*w**2 - 3*w**t + 3/4*w**5 - 15*w = 0. What is w?
-2, 1, 2
Let i(z) be the third derivative of -z**8/50400 + z**6/1800 + z**5/30 + 10*z**2. Let l(f) be the third derivative of i(f). Factor l(j).
-2*(j - 1)*(j + 1)/5
Let y = 19 - 19. Suppose 5*c - c - 60 = y. Solve 6*h**2 - c*h + h**2 - 3*h**3 + 6*h**2 + 6 - h**2 = 0 for h.
1, 2
Determine r, given that 686*r**2 - 78*r**2 - 89*r**2 + 21*r**4 - 276*r**3 + 48 - 318*r + 6*r**4 = 0.
2/9, 1, 8
Let i be ((-24)/(-30))/((-3)/(-360)). Determine x, given that -107*x**3 - 193*x - 455*x**3 - 303*x + 904*x**2 + i + 108*x**5 - 50*x**3 = 0.
-3, 2/3, 1
Let u(w) = -250*w**2 + 270*w - 15. Let a(r) = -124*r**2 + 135*r - 8. Let k(c) = -5*a(c) + 3*u(c). Solve k(t) = 0 for t.
1/26, 1
Let p(a) = a**5 + a**2 + 1. Let c be 2/(-1 - -3) + 0. Let v(x) = -16*x**5 - 5*x**4 + 5*x**3 - 6*x**2 - 6. Let t(s) = c*v(s) + 6*p(s). Factor t(n).
-5*n**3*(n + 1)*(2*n - 1)
Suppose 7*d = 4*d + 9. Let x be (d + 30/(-9))*6/(-5). What is m in -4/5*m + 2/5*m**3 - x*m**2 + 0 = 0?
-1, 0, 2
Let k = 57784/17 - 3398. Let -50/17*p**2 - k + 60/17*p = 0. Calculate p.
3/5
Let n(t) be the first derivative of t**6/120 - t**5/40 - 11*t**3/3 + 1. Let a(k) be the third derivative of n(k). Find i such that a(i) = 0.
0, 1
Let q be 19032/(-1586) + 1 + (-90)/(-8). Factor -q*l**2 - 3/4 + l.
-(l - 3)*(l - 1)/4
Let i(c) be the third derivative of 7*c**6/540 + 47*c**5/270 - 35*c**4/54 + 16*c**3/27 - 14*c**2. Solve i(u) = 0 for u.
-8, 2/7, 1
Let v(q) be the third derivative of -q**6/900 + q**4/15 - q**3 + 14*q**2. Let k(j) be the first derivative of v(j). Factor k(i).
-2*(i - 2)*(i + 2)/5
Let g(i) be the second derivative of -i**5/20 - 5*i**4/24 - i**3/3 - i**2/4 - i + 2. Find t, given that g(t) = 0.
-1, -1/2
Let m be 6/21 - (0 - 36/21). Let f(b) be the second derivative of 0 + 0*b**5 + 1/105*b**6 + 0*b**2 + 0*b**3 + m*b + 0*b**4. Factor f(x).
2*x**4/7
Let t be 5 - 2/(-40)*13419/(-135). Let p(s) be the second derivative of -3/5*s**2 + 1/10*s**4 - 5*s + 0 + 1/10*s**3 - t*s**5. Suppose p(a) = 0. Calculate a.
-1, 1, 2
Let c(k) be the second derivative of k**4/24 - 4*k**3/3 + 2*k + 120. Let c(s) = 0. What is s?
0, 16
Suppose -23*w + 24*w + 2*q - 62 = 0, -3*w = q - 166. Suppose -w*b = -57*b + 12. What is s in 0*s + 1/5*s**2 + 0*s**3 - 1/5*s**b