cond derivative of -z*x**5 + 0 - 1/84*x**7 - 11*x + 0*x**2 + 0*x**3 - 1/20*x**6 - 1/24*x**4. Factor q(o).
-o**2*(o + 1)**3/2
Let c = -10327 - -51641/5. Let -1 - 1/5*w**2 + c*w = 0. Calculate w.
1, 5
Let l(r) be the second derivative of -r**7/4200 + r**6/600 - r**5/200 - r**4 + 7*r. Let o(a) be the third derivative of l(a). Determine b, given that o(b) = 0.
1
Let m = -576 - -578. Let i(x) be the second derivative of 1/6*x**m + 0 - 1/126*x**7 - 5/18*x**3 + 5/18*x**4 - 4*x + 1/18*x**6 - 1/6*x**5. Factor i(s).
-(s - 1)**5/3
Suppose 4 = 2*k - r - r, k - 3*r = -8. Solve 2*i + 19*i - 25*i**2 - i + 10*i**3 - 12 + k = 0.
1/2, 1
Let r(s) be the first derivative of 10*s**3/9 - 4*s**2 + 8*s/3 - 423. Factor r(g).
2*(g - 2)*(5*g - 2)/3
Let b(q) = -2*q**3 + 1. Let z(r) = 8*r**3 - 8*r**2 + 4*r + 2. Let a(o) = -6*b(o) - z(o). Determine m, given that a(m) = 0.
-2, -1, 1
Let m be 4/(-22) + 1384/352 - 21/7. Find a, given that -m*a**2 - 3*a**5 + 3/4*a**4 + 3*a**3 + 0 + 0*a = 0.
-1, 0, 1/4, 1
Let x = -394 - -394. Let t(f) be the second derivative of 0*f**4 + 1/110*f**5 - 4*f - 2/11*f**2 - 1/11*f**3 + x. Find h such that t(h) = 0.
-1, 2
Find f such that -7991 + 7991 - 134*f**2 + 2*f**5 + f**3 + 46*f**4 - 6*f**3 - f**3 + 92*f = 0.
-23, -2, 0, 1
Let w(i) be the first derivative of -i**8/8400 - i**7/1400 - i**6/900 + 28*i**3/3 - 8. Let f(o) be the third derivative of w(o). Let f(z) = 0. What is z?
-2, -1, 0
Let z(i) be the second derivative of 0*i**2 + 1/5*i**5 + 0 + 25*i - 1/6*i**4 - 1/3*i**3. Factor z(b).
2*b*(b - 1)*(2*b + 1)
Suppose -5*c - c = 90. Let m = 17 + c. Determine r, given that -8 + 4*r**2 - 3*r**3 + 6*r**2 - 12*r - m*r**2 + 15*r**3 = 0.
-1, -2/3, 1
Suppose y + 10 = 5*c - 3*c, c = -2*y - 5. Let x be 1/(-12) - 6/72*y. Let x*u**3 - 1/4*u**2 - 1/2*u + 0 = 0. Calculate u.
-1, 0, 2
Suppose 0 = j - 0*j - 2. Suppose j = s - p - 8, 4*s - 2*p = 44. Factor s*m**2 + 16 + 2*m**3 - 6*m + m + 29*m.
2*(m + 2)**3
Factor 2/15*k**2 + 22326/5 - 244/5*k.
2*(k - 183)**2/15
Let d(b) be the second derivative of -2/45*b**3 + 17*b + 1/30*b**4 + 0*b**5 + 0 + 0*b**2 - 1/225*b**6. Solve d(o) = 0 for o.
-2, 0, 1
Factor 1/5*q**4 + 3/5*q - q**2 - 3/5*q**3 + 4/5.
(q - 4)*(q - 1)*(q + 1)**2/5
Let t(u) be the first derivative of -4*u**5/5 + 17*u**4 - 20*u**3 - 34*u**2 + 64*u + 66. Factor t(y).
-4*(y - 16)*(y - 1)**2*(y + 1)
Let b be (2/(-54)*3)/((-2)/36). Determine d, given that -1/2*d**4 - 1/2*d**5 + 0 + 0*d**b + d**3 + 0*d = 0.
-2, 0, 1
Let n(y) be the second derivative of 1/51*y**4 + 1/510*y**5 + 4/51*y**3 + 0 + 3/2*y**2 + 8*y. Let j(b) be the first derivative of n(b). Factor j(v).
2*(v + 2)**2/17
Let d be (2 - 5) + (-27)/(-1). Let l(p) = 14*p**2 - 11*p. Let w(m) = 54*m - 14*m**2 - 11*m**2 - 10*m**2 - 34*m**2. Let j(o) = d*l(o) + 5*w(o). Factor j(u).
-3*u*(3*u - 2)
Let r(o) be the third derivative of 5/24*o**4 + 9*o**2 - 1/24*o**6 - 5/3*o**3 + 0 + 1/4*o**5 - 1/42*o**7 + 0*o. Let r(z) = 0. Calculate z.
-2, -1, 1
Let t(v) be the second derivative of -1/120*v**5 - 1/72*v**4 + 1/180*v**6 + 1/36*v**3 + 0*v**2 + 0 - 2*v. Suppose t(p) = 0. Calculate p.
-1, 0, 1
Suppose -5*y + 30 = z - 5*z, 2*z = -10. Factor -51*l**2 - y*l - l + 48*l**2.
-3*l*(l + 1)
Factor 16*c - 2*c + 2 - 4*c - 5*c + 2*c**2.
(c + 2)*(2*c + 1)
Factor 0*h**2 - 2/21*h**3 + 2/21*h + 0.
-2*h*(h - 1)*(h + 1)/21
Let j be 2*4/(2 - -2). Suppose -j*g + 3 = g. Let i(k) = k**2 - k. Let b(w) = -3*w**2 + 4*w - 1. Let t(y) = g*b(y) + 4*i(y). Let t(c) = 0. What is c?
-1, 1
Factor 9*p**2 - 597*p + p**2 + 308*p - 2*p**3 + 301*p.
-2*p*(p - 6)*(p + 1)
Factor -1 - 1407*u**2 - 9*u + 3 + 1411*u**2.
(u - 2)*(4*u - 1)
Let f(h) be the third derivative of 10*h**2 + 0*h**3 + 0 - 2/105*h**7 + 1/20*h**6 - 1/168*h**8 + 2/15*h**5 - 1/3*h**4 + 0*h. Factor f(s).
-2*s*(s - 1)**2*(s + 2)**2
Let c be (-4)/(-13 + 1) - (-174)/18. Factor 7*l**2 - 2*l**2 + 23*l - c - 28*l.
5*(l - 2)*(l + 1)
Let w be ((-212)/(-1113))/(2/7). Suppose -38/3*d**3 + 50/3*d**2 - w*d**5 - 32/3*d + 8/3 + 14/3*d**4 = 0. What is d?
1, 2
Let t(j) = j**3 - 15*j**2 - 160*j + 2402. Let y be t(15). What is x in -1/9*x**5 - 4/9*x**y + 2/9*x**4 + 2/9*x**3 + 2/9 - 1/9*x = 0?
-1, 1, 2
Let g(q) be the third derivative of q**7/735 + q**6/84 - 31*q**5/35 + 69*q**4/7 - 216*q**3/7 - 307*q**2. Determine h so that g(h) = 0.
-18, 1, 6
Suppose -2*f - 4*t = 4, 7*f - 61 = 2*t - 43. Let n(o) be the third derivative of -5/3*o**3 + 0 - 12*o**f + 5/8*o**4 + 0*o - 1/12*o**5. What is h in n(h) = 0?
1, 2
Let k be (2/(-4))/(4/8). Let l(s) = 4 + 1 - 2 - 4. Let w(p) = 2*p**2 + 6*p + 8. Let d(x) = k*w(x) - 8*l(x). Determine o so that d(o) = 0.
-3, 0
Factor 2*n**3 + n**4 - 64 + 26*n + 12*n**3 - 39*n**2 - 142*n.
(n - 4)*(n + 1)**2*(n + 16)
Let -1/3 + 19/3*v - 35/3*v**2 + 17/3*v**3 = 0. What is v?
1/17, 1
Let o = 55/43 + -67/86. Find y, given that 5/2*y**4 + 5*y**2 + 1/2 - 5/2*y - 5*y**3 - o*y**5 = 0.
1
Let u(w) = -9*w**5 - w**4 - 5*w**2 - 5. Let p = 44 - 49. Let a(s) = -26*s**5 - 2*s**4 - 14*s**2 - 14. Let m(y) = p*a(y) + 14*u(y). Factor m(d).
4*d**4*(d - 1)
Let s(h) be the second derivative of -h**5/20 + h**4/3 + 5*h**3/6 + 95*h. Factor s(v).
-v*(v - 5)*(v + 1)
Let i(k) be the second derivative of -5*k**7/14 - k**6/3 + k**5 + 5*k**4/6 - 5*k**3/6 + 36*k. Let i(g) = 0. What is g?
-1, 0, 1/3, 1
Let s(c) be the second derivative of -c**5/180 + c**3/18 - 5*c**2 + 4*c. Let i(k) be the first derivative of s(k). Factor i(r).
-(r - 1)*(r + 1)/3
Suppose 10*n + 4*n = 0. Let u(o) be the second derivative of 1/2*o**2 + 2/15*o**6 - 1/12*o**3 + 5/84*o**7 - 5*o - 5/12*o**4 + n - 1/10*o**5. Factor u(h).
(h - 1)*(h + 1)**3*(5*h - 2)/2
Let u = -3 + 6. Suppose 6*n - 32 = 4. Factor 2*a**3 + n*a + 3 + 1 - 4*a**u + 0*a**3.
-2*(a - 2)*(a + 1)**2
Suppose 5/8*s**4 + 0*s + 3/8*s**2 + 0 + 7/8*s**3 + 1/8*s**5 = 0. Calculate s.
-3, -1, 0
Let v(d) be the first derivative of 2/7*d - 5 + 0*d**2 + 2/35*d**5 - 4/21*d**3 + 0*d**4. Factor v(p).
2*(p - 1)**2*(p + 1)**2/7
Let z(r) be the first derivative of -r**6/8 + 9*r**5/4 - 111*r**4/8 + 55*r**3/2 + 225*r**2/8 - 375*r/4 - 73. Find x such that z(x) = 0.
-1, 1, 5
Let s(l) = -154*l**4 + 418*l**3 - 142*l**2 - 122*l. Let o(w) = 14*w**4 - 38*w**3 + 13*w**2 + 11*w. Let h(p) = 68*o(p) + 6*s(p). Factor h(k).
4*k*(k - 2)*(k - 1)*(7*k + 2)
Factor -1 - 11/9*q**2 - 1/9*q**3 - 19/9*q.
-(q + 1)**2*(q + 9)/9
Find d such that 45*d**2 + 324 + 1381*d**3 - 1384*d**3 - 5*d - 211*d = 0.
3, 6
Determine k, given that -9/2 - 3*k**5 + 9/4*k**4 + 9/4*k**2 + 87/4*k**3 - 75/4*k = 0.
-2, -1, -1/4, 1, 3
Let a(z) be the third derivative of -1/40*z**6 + 0*z**4 + 0 + 0*z**5 + 0*z - 7*z**2 + 0*z**3. Factor a(o).
-3*o**3
Let u(a) be the first derivative of -7*a**4/18 - 2*a**3/3 - 2*a**2/9 - 24. Let u(c) = 0. What is c?
-1, -2/7, 0
Solve -2/15*h**2 + 12/5*h - 34/15 = 0 for h.
1, 17
Let h = -55 - -57. Suppose k - v - 18 = 0, 0*k - 4*k - 2*v + 84 = 0. Solve 0*r**h - 3*r**2 + 23*r - k*r = 0.
0, 1
Let 3*k - 9/2*k**2 + 0 + 9/2*k**4 - 3/2*k**3 - 3/2*k**5 = 0. What is k?
-1, 0, 1, 2
Let w = 468/31 + -86515/5704. Let q = w + 2745/2392. Factor -12/13 + q*i**2 - 38/13*i.
2*(i - 3)*(7*i + 2)/13
Let r(k) be the first derivative of -24/5*k**3 + 12/5*k**2 - 2/5*k + 28. Suppose r(u) = 0. What is u?
1/6
Let y(n) = -2*n**3 + 15*n**2 + 33*n - 51. Let f be y(9). Let c(s) be the second derivative of -4/5*s**5 - 5/3*s**4 - 3*s + 0*s**2 - 2/3*s**f + 0. Factor c(k).
-4*k*(k + 1)*(4*k + 1)
Determine s so that -4/19*s**3 - 2/19*s**4 + 4/19*s + 2/19*s**2 + 0 = 0.
-2, -1, 0, 1
Let m(j) be the first derivative of 2*j + 1/20*j**5 + 1/6*j**3 - 3 + 1/6*j**4 + 0*j**2. Let f(a) be the first derivative of m(a). Find o such that f(o) = 0.
-1, 0
Let v(b) = b**2 + 14*b + 3. Let c be v(-14). Suppose 13 = c*m - 0*a + a, 4*a + 12 = 4*m. Find u, given that 0*u**3 - 3*u**2 + 3*u**3 + 4*u**4 - u**m - 3*u = 0.
-1, 0, 1
Let p(r) be the second derivative of 0*r**2 - 41*r - 25/12*r**4 + 0*r**3 + 1/6*r**6 + 0 - r**5. Let p(t) = 0. Calculate t.
-1, 0, 5
Let w(c) be the first derivative of -c**8/5040 + c**7/420 - c**6/90 + c**5/45 + 8*c**3/3 - 3. Let g(q) be the third derivative of w(q). Factor g(k).
-k*(k - 2)**3/3
Let o(z) = z**2 + 296*z + 20740. Let f(k) = 2*k**2 + 594*k + 41481. Let i(m) = 4*f(m) - 9*o(m). Suppose i(j) = 0. Calculate j.
-144
Let t(l) be the first derivative of l**4/6 - 