 the third derivative of -u**7/70 + u**5/5 - 385*u**2. Solve f(a) = 0.
-2, 0, 2
Let j(k) be the first derivative of -3*k**5/25 - k**4/2 - k**3/15 + 3*k**2/5 + 216. Factor j(c).
-c*(c + 1)*(c + 3)*(3*c - 2)/5
Let a(y) be the second derivative of y**5/100 - 2*y**3/15 + 88*y. Let a(j) = 0. What is j?
-2, 0, 2
Let t be 12/(-22) + 234/429. Let j(x) be the third derivative of 1/780*x**6 + 0 + 5/156*x**4 + 2/195*x**5 + 2/39*x**3 + t*x + 9*x**2. Factor j(r).
2*(r + 1)**2*(r + 2)/13
Let q = -71 + 5965/84. Let j(f) be the third derivative of -1/21*f**4 + 0*f + q*f**6 + 0 - 1/735*f**7 + 8/21*f**3 - 9*f**2 - 1/35*f**5. Factor j(c).
-2*(c - 2)**3*(c + 1)/7
Let n(p) = -18*p**5 - 4*p**4 + 14*p**3 + 66*p**2 - 12*p - 18. Let g(v) = -v**5 + v**4 + v**3 + v**2. Let f(z) = 28*g(z) - 2*n(z). Find y such that f(y) = 0.
-3, -1/2, 1
Let c = -140 - -142. Solve 2*m**2 - m**c + 84 - 4*m - 83 + 2*m = 0.
1
Let w be 2/((-68)/12 + 5 + 0). Let s be (w + (2 - 0))*8/(-24). Factor -1/3*a + 0 - s*a**2.
-a*(a + 1)/3
Let 6/7*d**4 + 10/7*d**3 - 6/7*d**2 + 0 - 2/7*d**5 - 8/7*d = 0. Calculate d.
-1, 0, 1, 4
Let b(w) be the second derivative of -w**5/80 + 25*w**4/48 - 32*w. Determine u so that b(u) = 0.
0, 25
Let u(i) be the first derivative of -i**5/100 - i**4/30 - i**3/30 + 5*i**2/2 - 1. Let h(l) be the second derivative of u(l). Find a, given that h(a) = 0.
-1, -1/3
Find z such that 409*z + z**2 - 207*z - 205*z - 10 = 0.
-2, 5
Let n(m) = -3*m**4 + 3*m**3 + 6*m**2 - 6*m - 3. Let o(v) = 3*v**4 - 2*v**3 - 7*v**2 + 6*v + 4. Let k(y) = 4*n(y) + 3*o(y). Determine x, given that k(x) = 0.
-1, 0, 1, 2
Let h(v) be the third derivative of -v**7/2520 - v**6/360 + v**4/18 - 11*v**3/6 - 17*v**2. Let j(s) be the first derivative of h(s). What is d in j(d) = 0?
-2, 1
Let y(t) = 6 + 22*t**2 + 8*t**3 - 2*t**4 + 3*t + 0 + 18*t. Let j(o) = o**4 + o + 1. Let r(n) = 6*j(n) + 2*y(n). Factor r(v).
2*(v + 1)**2*(v + 3)**2
Suppose -144*v = -137*v - 28. Let g(f) be the third derivative of 0*f + 0 + 1/10*f**3 + 5*f**2 - 1/20*f**v + 1/100*f**5. Suppose g(z) = 0. What is z?
1
Let k(g) be the first derivative of -g**5/15 - 65*g**4/12 - 500*g**3/3 - 7000*g**2/3 - 40000*g/3 + 241. Determine f, given that k(f) = 0.
-20, -5
Suppose 0 = -14*f + 13*f + 1. Let p be (f/(-2) - 0)*-1. Determine t, given that 0 + 0*t**2 + p*t**4 - 1/2*t**3 + 0*t = 0.
0, 1
Let j(k) = -7*k**5 - 4*k**4 - 6*k**3 + 16*k**2 - 11*k. Let c(y) = 16*y**5 + 7*y**4 + 13*y**3 - 33*y**2 + 23*y. Let w(m) = -6*c(m) - 13*j(m). Factor w(i).
-5*i*(i - 1)**3*(i + 1)
Suppose 4*u = 10 - 2. Factor -16 + 8 + 4*v**3 - 10*v - u*v.
4*(v - 2)*(v + 1)**2
Let z(k) = -k**3 + 19*k**2 - 17*k - 15. Suppose m - 24 = 2*w, 0*w + 27 = m - 3*w. Let r be z(m). Factor 2/3*i**r - 8/3*i**2 + 0 + 2*i.
2*i*(i - 3)*(i - 1)/3
Let w(t) be the third derivative of -t**5/300 - t**4/15 - 8*t**3/15 - 2*t**2 + 50*t. Determine g, given that w(g) = 0.
-4
Suppose 5*g + 0 - 17 = f, -5*g - 3*f = -9. Determine i, given that 14 - 18 + 12 + 0*i**4 + 4*i - 6*i**2 - i**g + i**4 = 0.
-2, -1, 2
Let k(i) be the second derivative of 11*i**4/18 - 23*i**3/9 + 2*i**2/3 - 2*i - 20. Solve k(x) = 0.
1/11, 2
Let o(r) be the third derivative of 25*r**8/336 - r**7/7 - 59*r**6/24 - 2*r**5/3 + 35*r**4/2 - 40*r**3/3 + 77*r**2. Find d such that o(d) = 0.
-2, 1/5, 1, 4
Suppose 2*k - 16 = k. Let p be 3 + (-28)/k - 1. Factor -p*n**2 + 0*n + 0 - 3/4*n**3.
-n**2*(3*n + 1)/4
Solve 26/19*j**3 - 8/19*j + 2/19*j**4 - 80/19 + 60/19*j**2 = 0 for j.
-10, -2, 1
Factor -85*u**2 - 89*u + 245 + 201*u + 80*u**2 + 128*u.
-5*(u - 49)*(u + 1)
Suppose -5*k + 2*d + 10 = -2*k, 2*k - 5*d = 3. Suppose k*l - 4*n + n - 13 = 0, -3*n = -l + 1. Factor -3*u**l + u**2 - 3*u**5 + 4*u**2 - 3*u**2 + u**2 + 3*u**3.
-3*u**2*(u - 1)*(u + 1)**2
Suppose -78 = 5*p - 18*p. Let j(y) be the third derivative of 1/8*y**4 + 0*y + 0 - 1/40*y**p + 0*y**5 + 0*y**3 + 2*y**2. Let j(w) = 0. What is w?
-1, 0, 1
Let c(y) be the first derivative of -y**6/80 + y**5/8 - 3*y**4/16 - 9*y**3/4 - 8*y**2 + 12. Let z(v) be the second derivative of c(v). Factor z(t).
-3*(t - 3)**2*(t + 1)/2
Let r(n) = -n**3 - n - 1. Let c(w) = w**3 + 3*w**2 + 2. Let x = -23 + 28. Let p be ((-20)/25)/(1/x). Let k(a) = p*r(a) - 2*c(a). Factor k(i).
2*i*(i - 2)*(i - 1)
Let b be 4/8*-5*1*-2. Suppose b*n - 6*n + 2 = 0. Factor 0 + 1/4*a**4 + a**3 + 0*a + a**n.
a**2*(a + 2)**2/4
Let b(o) be the third derivative of -3*o**8/112 + o**7/7 - 3*o**6/10 + 3*o**5/10 - o**4/8 - 4*o**2 + 6. Find k such that b(k) = 0.
0, 1/3, 1
Let t = -8 - -10. Let z = 8 + -6. Determine d so that d**5 + d**5 - 2 + 6*d**4 + t*d - 8*d + 14*d**2 + 4*d**3 - 18*d**z = 0.
-1, 1
Let y(t) be the second derivative of -t**5/135 - t**4/27 + 3*t**2 + 2*t. Let c(v) be the first derivative of y(v). Find a, given that c(a) = 0.
-2, 0
Let n be (-5 + 6)/((-2)/26). Let w = 15 + n. Let -12*r**2 + 7*r + 58*r**4 + 24*r**5 - 9*r + w + 32*r**3 - 8*r + 2*r = 0. Calculate r.
-1, 1/4, 1/3
Let w = -47805 + 95613/2. Factor 1/6*d**2 + 4/3*d - w.
(d - 1)*(d + 9)/6
Suppose 0 = 58*k + 25 - 141. Suppose -2*x - k + 1/2*x**3 + 1/2*x**2 = 0. What is x?
-2, -1, 2
Let x be (-954)/(-378) + (-4)/(-28). Solve -x*y + 2 + 2/3*y**2 = 0.
1, 3
Factor -2*c**5 - c**4 - 4*c**4 + c**5 - 821*c**3 + 815*c**3.
-c**3*(c + 2)*(c + 3)
Let t(w) be the first derivative of 5*w**4 + 4*w**3/3 - 8*w**2 - 53. Factor t(s).
4*s*(s + 1)*(5*s - 4)
Let c = 4 - 2. Let q be 154/98 - 24/42. Let -q + 1/2*n + 1/2*n**c = 0. What is n?
-2, 1
Suppose p + 7 = o, p = 3*o - 0*o - 15. Let c = 2 + o. Factor 4 - 4 + c*j**4 + 159*j**5 - 3*j**3 - 162*j**5.
-3*j**3*(j - 1)**2
Let i(m) be the second derivative of 125/16*m**5 - 5/2*m**2 - 2*m + 0 + 25/3*m**3 - 625/48*m**4. Factor i(b).
5*(5*b - 2)**2*(5*b - 1)/4
Let q = -4777 - -9939/2. Let g = q + -192. Factor -g + 5/6*h + 1/3*h**2.
(h + 3)*(2*h - 1)/6
Let x(l) be the second derivative of 7*l**6/135 + l**5/18 - l**4/6 - 5*l**3/27 + 2*l**2/9 + 42*l. Let x(g) = 0. What is g?
-1, 2/7, 1
Suppose -8*j - 451 + 475 = 0. Let h(x) be the first derivative of -9/5*x**5 + j*x**3 - 1/2*x**6 + 3*x**2 - 3/4*x**4 + 0*x - 4. Solve h(q) = 0 for q.
-2, -1, 0, 1
Let u = -19 - -20. Suppose -u = -4*v + 7. Find a, given that -30*a + 31*a + 4*a**4 - 3*a**4 - a**v - a**3 = 0.
-1, 0, 1
Let b = -365 - -369. Let n(j) be the first derivative of 27/2*j**2 + 0*j + 3/4*j**b + 6*j**3 + 3. Let n(p) = 0. Calculate p.
-3, 0
Let o(c) be the first derivative of -3*c**4/4 - 12*c**3 - 135*c**2/2 - 150*c - 9. Find a, given that o(a) = 0.
-5, -2
Let w(z) be the first derivative of 0*z**2 + 16/21*z**3 - 1 + 1/14*z**4 + 0*z. Determine o so that w(o) = 0.
-8, 0
Let m(v) be the third derivative of v**7/1890 + 11*v**6/540 + v**5/9 + 29*v**4/108 + 19*v**3/54 - v**2 - 653*v. Suppose m(h) = 0. What is h?
-19, -1
Solve 0 - 1/2*x**4 - 7/4*x**3 + x + 5/4*x**2 = 0 for x.
-4, -1/2, 0, 1
Let l = 589/1794 + 3/598. Let u(p) be the second derivative of -l*p**3 + 1/15*p**6 + 0 - 1/6*p**4 + 9*p + 1/10*p**5 + 0*p**2. Factor u(b).
2*b*(b - 1)*(b + 1)**2
Let l(x) = x**2 + 5*x - 34. Let f be l(-9). Factor -2/7*k**5 + 0 + 0*k**3 + 4/7*k**f - 4/7*k**4 + 2/7*k.
-2*k*(k - 1)*(k + 1)**3/7
Suppose 2*p = 5*w - p - 87, -3*w = -4*p - 61. Let n be (5/w)/((-3)/(-18)). Determine o, given that 8 - 14*o**n - 4*o - 18*o**2 + 60*o**3 - 80*o**3 = 0.
-1, 2/5
Let d be 10/3 - (-6)/(-9). Suppose 769*s - 779*s = -40. Factor d*t + 2/3*t**s + 2*t**2 - 8/3*t**3 - 8/3.
2*(t - 2)**2*(t - 1)*(t + 1)/3
What is c in -12/7 + 2/7*c**4 + 10/7*c**2 + 10/7*c - 10/7*c**3 = 0?
-1, 1, 2, 3
Let v(t) be the third derivative of -t**8/480 - 139*t**7/1050 - 1493*t**6/600 - 1111*t**5/150 - 1007*t**4/240 + 361*t**3/30 - 138*t**2. Solve v(r) = 0 for r.
-19, -1, 2/7
Let k = -388 + 391. Let c(x) be the third derivative of 0 + 0*x + 0*x**4 - 1/560*x**8 - 2*x**2 + 0*x**7 + 0*x**6 + 0*x**k + 0*x**5. Factor c(u).
-3*u**5/5
Let s be 715/35 + 8/14. Let x be (9/s)/((-6)/(-42)). Suppose 9*k**3 + x*k**4 + k - 3*k**2 + k + 9*k**5 - 20*k**3 = 0. What is k?
-1, -2/3, 0, 1/3, 1
Let t(n) be the first derivative of 5*n**4/16 - 15*n**3/4 + 75*n**2/8 - 35*n/4 - 2. Solve t(d) = 0 for d.
1, 7
Let g be 60/(-18) + (1 - -3). Let i be 16/(-12) - (-7)/(-42)*-10. Let -i*s**2 - g + s = 0. What is s?
1, 2
Suppose -27*j + 26*j = -5*r + 1, 0 = r + j + 1. Let -10368/11*g + 2592/11*g**2 - 216/11*g**3 + 