third derivative of t**6/480 + t**5/24 - t**4/96 - 5*t**3/12 + 68*t**2. Determine s, given that q(s) = 0.
-10, -1, 1
Let o(r) be the second derivative of r**5/105 - r**4/21 - 17*r**2/2 - r. Let i(n) be the first derivative of o(n). Determine k so that i(k) = 0.
0, 2
Let f(n) = -3*n - 3. Let r(z) = -2*z**2 - 39*z - 37. Let c(o) = 3*f(o) - r(o). Solve c(b) = 0 for b.
-14, -1
Let u(j) be the third derivative of 5*j**8/336 - j**7/21 - j**6/8 + 2*j**5/3 - 5*j**4/6 - 159*j**2. Factor u(z).
5*z*(z - 2)*(z - 1)**2*(z + 2)
Let x(t) be the second derivative of -49*t**6/45 + 77*t**5/5 - 949*t**4/18 - 220*t**3/3 - 100*t**2/3 - 26*t - 1. Factor x(a).
-2*(a - 5)**2*(7*a + 2)**2/3
What is c in -6/7*c + 4/7 + 2/7*c**2 = 0?
1, 2
Let s(i) be the third derivative of 7/60*i**5 + 0 - 1/200*i**6 - 6/5*i**3 + 0*i - 4/5*i**4 + 26*i**2. Suppose s(f) = 0. What is f?
-1/3, 6
Let q(c) be the first derivative of 3*c**4/2 - 13*c**3/3 - 19*c**2/2 - 8. Let z(g) = -3*g**3 + 6*g**2 + 9*g. Let u(d) = -3*q(d) - 7*z(d). Factor u(f).
3*f*(f - 2)*(f + 1)
Suppose 3*a = -5*q - 1, a + 28 = -3*a. Let -3/2*v**5 + 6*v**2 + 3*v**3 - 3/2*v - 3*v**q - 3 = 0. Calculate v.
-2, -1, 1
Let m(q) = 22*q - 16. Let o be m(1). Let y be ((-32)/(-3) - o) + (-3)/1. Determine i so that 7/3*i + 2/3 + y*i**2 = 0.
-1, -2/5
Let u(o) be the second derivative of 1/120*o**5 - 1/12*o**3 + 4*o + 0*o**4 - 1/6*o**2 + 0. Factor u(v).
(v - 2)*(v + 1)**2/6
Let r(x) = -20 + 7*x + 4 + 15*x - 4*x. Let b be r(1). Determine y, given that 0 + 4/7*y**b - 8/7*y = 0.
0, 2
Let r(l) be the second derivative of -l**6/30 - 3*l**5/4 - 9*l**4/4 - 13*l**3/6 - 812*l. Factor r(d).
-d*(d + 1)**2*(d + 13)
Let m = 11229/14980 - -3/7490. Determine o so that m*o - 3/2 + 3/4*o**2 = 0.
-2, 1
Let q be (8/12 - 0)*-3. Let a be (-2)/q + (2 - 0). Factor -a*w + 0*w**2 - 23*w**3 - 2*w**2 + 5*w + 21*w**3 + 2*w**4.
2*w*(w - 1)**2*(w + 1)
Factor -89447*n + 89611*n - 4 - 8 + 56*n**2.
4*(n + 3)*(14*n - 1)
Let n(l) be the third derivative of 7*l**7/270 - 7*l**6/135 + 2*l**5/45 - 3*l**4/4 - 3*l**2. Let o(x) be the second derivative of n(x). Factor o(d).
4*(7*d - 2)**2/3
Let k(i) = i**3 + 10*i**2 + 16*i - 2. Let q be k(-8). Let w be (2/6 - q/3)*3. Factor 2/7*o**w - 2/7*o - 4/7 + 4/7*o**2.
2*(o - 1)*(o + 1)*(o + 2)/7
Let v(m) = 2*m**4 + 47*m**3 - 55*m**2. Let k(h) = -4*h**4 - 93*h**3 + 111*h**2. Let p(w) = -3*k(w) - 7*v(w). Factor p(j).
-2*j**2*(j - 1)*(j + 26)
Suppose 7*r = 5*r + 8. Factor 5*g**4 - 11*g**4 - 18*g**4 + 5*g**5 + r*g**5 + 12*g**3.
3*g**3*(g - 2)*(3*g - 2)
Let n(q) be the third derivative of 0*q + 10/3*q**3 - 9*q**2 + 35/12*q**5 - 5*q**4 + 0. Find b such that n(b) = 0.
2/7, 2/5
Determine u, given that 28/3*u**3 + 0*u - 8*u**2 + 14/3*u**4 + 0 - u**5 = 0.
-2, 0, 2/3, 6
Suppose 6/7*v + 0 + 1/7*v**3 + v**2 = 0. Calculate v.
-6, -1, 0
Let z(t) be the third derivative of 5*t**8/28 + 311*t**7/735 + 19*t**6/105 - 31*t**5/210 - t**4/14 + 2*t**2 - 2*t. Determine m so that z(m) = 0.
-1, -3/5, -1/6, 0, 2/7
Let q(x) be the third derivative of 1/40*x**6 + 3/2*x**3 + 7/8*x**4 - 27*x**2 + 1/4*x**5 + 0*x + 0. Let q(z) = 0. Calculate z.
-3, -1
Suppose -2*p - n + 21 = 0, -9*p + 8*p - 5*n = -33. Let z be p/14 - 0/(-13). Suppose -4/7 - z*t**4 + 8/7*t**2 + 0*t**3 + 0*t = 0. What is t?
-1, 1
Let c(z) = z**3 - 2*z**2 - z. Let p(o) = -9*o**2 - 16*o - 9. Let a(n) = -c(n) + p(n). Let a(h) = 0. Calculate h.
-3, -1
Factor 0 + 0*m + 0*m**2 + 1/3*m**5 - 5/9*m**4 + 2/9*m**3.
m**3*(m - 1)*(3*m - 2)/9
Let c be (1 - 0) + (8 - 1). Let r be 2/2 + (c - 4). Suppose -1 + i**4 - i**2 - 3*i**r - i**2 - i + 2*i**5 + 2 + 2*i**3 = 0. What is i?
-1, 1
Factor -177/5*s**2 + 0*s + 0 + 3/5*s**3.
3*s**2*(s - 59)/5
Suppose -524 + 188 = 7*i. Let m = -46 - i. Find u such that 0 + 1/3*u**m - 2/3*u = 0.
0, 2
Suppose 7*s = 3*s + 16. Let t(x) = 18*x - 196. Let u be t(11). Determine n, given that 0*n**3 - 2/5*n**s + 0*n + 2/5*n**5 + 0 + 0*n**u = 0.
0, 1
Let b(u) be the first derivative of -u**9/19656 + u**7/5460 + 2*u**3/3 + 5*u - 45. Let p(s) be the third derivative of b(s). Determine r, given that p(r) = 0.
-1, 0, 1
Suppose -2*t - 36 = 4*k, 5*k - 10 + 3 = 4*t. Let n be (t/4)/((-4)/6). Solve 2/5*d**n + 2*d - 24/5*d**2 + 4/5 + 8/5*d**4 = 0 for d.
-2, -1/4, 1
Suppose 3*k = -2*g + 19, -9 = 4*g + k - 22. Factor 10*a**g - 4*a**2 - 15*a - a**2.
5*a*(a - 3)
Let w(z) be the second derivative of -z**6/10 - 9*z**5/10 + 35*z**4/4 - 24*z**3 + 30*z**2 - 146*z. Factor w(d).
-3*(d - 2)*(d - 1)**2*(d + 10)
Suppose 0 = -634*f + 636*f + 3*b - 64, 4*f + b = 108. Factor -8*o + f*o**2 + 8/13.
2*(13*o - 2)**2/13
Determine w, given that -2/25*w**4 - 4/25 - 2/25*w**3 + 2/25*w + 6/25*w**2 = 0.
-2, -1, 1
Let b(s) = -5*s**5 - 10*s**4 - 15*s**3 + 50*s**2 - 20*s + 10. Let y(w) = -w**5 + w**2 + 1. Let h(r) = b(r) - 10*y(r). Factor h(f).
5*f*(f - 2)*(f - 1)**2*(f + 2)
Let r(y) be the second derivative of -7/4*y**4 + 10*y + 4*y**3 - 9/2*y**2 + 3/10*y**5 + 0. Solve r(w) = 0.
1, 3/2
Let z(f) be the first derivative of 40*f**3/3 + 4*f**2 - 6*f + 197. Find o such that z(o) = 0.
-1/2, 3/10
Find t, given that 2*t**2 - 12 - 5*t**2 + 2*t - 7*t**2 + 24*t = 0.
3/5, 2
Suppose -3*f = 12*w - 9*w - 15, -w + 8 = 2*f. Find u, given that 33/8*u - 15/8*u**w - 3/4 = 0.
1/5, 2
Let b = -1299 + 1299. Let u(q) be the second derivative of -1/24*q**4 + b*q**3 - 3*q + 0*q**2 + 0. Factor u(f).
-f**2/2
Let s = 1200 + -1195. Let h(f) be the third derivative of -1/30*f**6 + 0 - 6*f**2 + 1/3*f**3 + 7/24*f**4 - 1/12*f**s + 0*f. Let h(p) = 0. Calculate p.
-2, -1/4, 1
Let z = 109 - 40. Let u be (1 + 14/(-10))*-5. Factor -3 + z*h**2 + 4 - 70*h**u.
-(h - 1)*(h + 1)
Factor 523*j + 1293*j - 55 - 480*j**2 - 535 + 14*j**3 + 110.
2*(j - 30)*(j - 4)*(7*j - 2)
Let t be -1*(3 + 5 + -9) + 4. Let w(a) be the third derivative of 0 + 1/240*a**6 + 1/6*a**4 + 0*a - 1/24*a**t - 1/3*a**3 - 5*a**2. Factor w(z).
(z - 2)**2*(z - 1)/2
Suppose 34*v**2 - 24*v - 34*v**2 - 16*v**2 + 12*v**4 + 70*v**3 = 0. What is v?
-6, -1/2, 0, 2/3
Let n be (6/4)/(1/33). Let g = 50 - n. Let -1/4 - 1/4*s**2 - g*s = 0. Calculate s.
-1
Let i(r) be the second derivative of 0*r**2 - 3/20*r**5 + 1/6*r**4 + 13*r + 0*r**3 + 0. Factor i(a).
-a**2*(3*a - 2)
Let a be (2470/(-20))/(-13) - (-16)/(-2). What is v in a*v**3 + 9/2*v**2 - 3/2*v - 9/2 = 0?
-3, -1, 1
Suppose -4*f = -7*f + 435. Suppose 6 - 4*h**2 + 0 + f*h - 148*h + 3*h**3 - 2*h**2 = 0. What is h?
-1, 1, 2
Suppose u = 2*n + 15, u = 3*u + 2*n. Let m(z) be the second derivative of -3/10*z**u + 0*z**3 + 0*z**2 + 1/10*z**6 + 1/4*z**4 + 3*z + 0. Factor m(x).
3*x**2*(x - 1)**2
Let q be ((-9)/(-36))/(7/492). Let k = q + -552/35. Factor -3*n - 6/5 - k*n**2.
-3*(n + 1)*(3*n + 2)/5
Suppose 202*s = 189 + 215. Let 0 + 0*i**s + 1/8*i - 1/8*i**3 = 0. What is i?
-1, 0, 1
Let x(z) be the second derivative of -5/6*z**3 + 1/42*z**7 - 2/15*z**6 + 0 + 1/5*z**5 + 1/6*z**4 - 18*z + z**2. Factor x(h).
(h - 2)*(h - 1)**3*(h + 1)
Let a(j) = 41*j - 525. Let v be a(13). Let k(f) be the second derivative of -1/120*f**6 + v*f - 1/20*f**5 - 1/6*f**3 - 1/8*f**4 - 1/8*f**2 + 0. Solve k(c) = 0.
-1
Let x(n) be the first derivative of n**6/360 + n**5/15 + 2*n**4/3 + 14*n**3/3 - 17. Let k(h) be the third derivative of x(h). Factor k(b).
(b + 4)**2
Let 76 - 84 + 50*h**2 + 0*h**2 - 96*h = 0. Calculate h.
-2/25, 2
Solve -3/7*r**3 + 0 + 0*r - 4/7*r**2 + 1/7*r**4 = 0 for r.
-1, 0, 4
Let y = 6 - 3. Suppose -16 = 4*w - 3*v, 572*v - 579*v = -4*w - 48. Factor -1/6*o + 0*o**y - 1/3*o**4 + 1/3*o**w + 0 + 1/6*o**5.
o*(o - 1)**3*(o + 1)/6
Let s(t) be the third derivative of 0*t**3 - 1/12*t**5 - 1/14*t**7 + 0 + 0*t**4 + 0*t - 5*t**2 - 1/8*t**6 - 5/336*t**8. Factor s(u).
-5*u**2*(u + 1)**3
Suppose -3*f + 6 = -2*f. Let k be 258/8 - f/24. Factor 6*r**2 - 232 - k*r**3 - 14*r**2 - 14*r**4 + 232.
-2*r**2*(r + 2)*(7*r + 2)
Let g(v) be the first derivative of v**3/3 - 3*v**2/2 - 4*v - 91. Solve g(f) = 0 for f.
-1, 4
Suppose 0 = -m - 3*m + 24. Suppose m*o - o = 0. Suppose 2/7*z**2 + o + 4/7*z = 0. What is z?
-2, 0
Let s(p) be the second derivative of p**7/315 + p**6/15 + p**5/2 + 29*p**4/18 + 8*p**3/3 + 12*p**2/5 + 27*p. Factor s(f).
2*(f + 1)**3*(f + 6)**2/15
Let g(p) be the first derivative of 2*p**5/15 - p**4/6 - 4*p**3/9 + 40. Let g(s) = 0. Calculate s.
-1, 0, 2
Let y be 4/18*255/170. Factor -y*r - 1/2 + 1/6*r