, 0, 1
Let b(k) be the first derivative of -2*k**5/95 - 4*k**4/19 + 128*k**3/57 + 512*k**2/19 + 768. Solve b(s) = 0.
-8, 0, 8
Let n(t) be the third derivative of -t**6/120 - t**5/12 - 7*t**4/24 - t**3/2 + 23*t**2 + 4*t. Let n(s) = 0. Calculate s.
-3, -1
Let a(r) be the second derivative of 1/20*r**5 + 0 + 1/6*r**4 + 0*r**2 + 6*r + 1/6*r**3. Factor a(f).
f*(f + 1)**2
Suppose 4*t + 15 = 7*t. Suppose 4*d = t*n + 28, -2*d - 4*n - 11 = 1. Factor 1 + 1 - 2*r**d + 0.
-2*(r - 1)*(r + 1)
Let n(m) be the second derivative of m**5/70 + 23*m**4/14 + 529*m**3/7 + 12167*m**2/7 + 52*m - 2. Factor n(t).
2*(t + 23)**3/7
Let k(w) be the second derivative of 0 - 5/12*w**4 + 34*w - 55/3*w**3 - 605/2*w**2. Suppose k(t) = 0. Calculate t.
-11
Let g = -34 - -34. Suppose g = -5*a - 18 + 28. Find i such that -10*i**2 - 3*i + 5*i**5 + 10*i**4 + 0*i**2 + 0*i**2 - a*i = 0.
-1, 0, 1
Let d(k) = -k**3 + 24*k**2 - 45*k + 24. Let o be d(22). Determine w, given that 1/6*w - 1/3*w**o + 1/3 - 1/6*w**3 = 0.
-2, -1, 1
Let m(u) = -4 - 4 - 2*u**2 - 1 - 6*u. Let q(j) = j**2. Let h(a) = -5*m(a) - 5*q(a). Factor h(b).
5*(b + 3)**2
Find m, given that 12/11*m**2 + 0*m + 14/11*m**3 + 2/11*m**4 + 0 = 0.
-6, -1, 0
Let m(l) be the second derivative of 3*l**7/1120 - 7*l**6/480 + l**5/30 - l**4/24 + 5*l**3/6 + 9*l. Let u(n) be the second derivative of m(n). Factor u(v).
(v - 1)*(3*v - 2)**2/4
Let l(x) be the first derivative of x**3/30 + 3*x**2/10 - 8*x/5 + 215. Factor l(u).
(u - 2)*(u + 8)/10
What is n in 27/2*n**2 + 2/3*n**3 - 62*n + 194/3 = 0?
-97/4, 2
Let l(r) = 8*r**2 - 40*r + 102. Let q(m) = -18*m**2 + 80*m - 205. Suppose 2*h + 9 = 19. Let s(z) = h*l(z) + 2*q(z). Suppose s(d) = 0. Calculate d.
5
Let h(z) = -2*z**2 - z + 1. Let i(c) be the third derivative of -c**5/20 + c**4/24 - c**3/3 - 6*c**2. Let t(u) = 2*h(u) - i(u). Factor t(v).
-(v - 1)*(v + 4)
Solve -4/3*g**2 + 0*g + 0 + 5/3*g**3 - 1/3*g**4 = 0.
0, 1, 4
Let l(v) be the first derivative of 9*v**4/4 - 32*v**3 + 285*v**2/2 - 150*v - 430. Solve l(g) = 0 for g.
2/3, 5
Let v(f) be the third derivative of -f**7/70 + f**6/30 + 3*f**5/20 - 3*f**4/4 + 4*f**3/3 + 2*f**2 + 8. Find q, given that v(q) = 0.
-2, 1, 4/3
Let z(n) be the third derivative of -n**9/3024 - 13*n**8/8400 + n**7/700 - 19*n**3/6 - 31*n**2. Let d(g) be the first derivative of z(g). Factor d(a).
-a**3*(a + 3)*(5*a - 2)/5
Let x(d) = 12*d**2 + 182*d + 7. Let v(p) = -10*p**2 - 176*p - 6. Let u(n) = 7*v(n) + 6*x(n). Determine l so that u(l) = 0.
0, 70
Let x(s) = 3*s**3 - 2*s**2 + 3*s - 2. Let a be x(2). Let p = 27 - a. Factor -3*r**2 + 5*r - p*r + 5*r + 0*r.
-3*r*(r - 1)
Suppose 0 = 3*r + 5*r - 32. Let d be ((-124)/(-5))/r + -6. Factor 2/5*c**2 - d*c + 1/5*c**3 - 2/5.
(c - 1)*(c + 1)*(c + 2)/5
Let i(h) be the second derivative of -h**7/7 + 13*h**6/15 + 13*h**5/10 - 13*h**4/6 - 10*h**3/3 - 27*h. What is y in i(y) = 0?
-1, -2/3, 0, 1, 5
Let h(f) = 2*f**3 + 38*f**2 + 294*f + 686. Let m(s) = 8*s**3 + 150*s**2 + 1176*s + 2744. Let u(t) = 18*h(t) - 4*m(t). Determine l so that u(l) = 0.
-7
Suppose 321*r - 102 = 304*r. Let f(d) be the third derivative of 0*d - 1/75*d**r + 2*d**2 + 0*d**4 + 0 - 1/175*d**7 - 1/150*d**5 + 0*d**3. Factor f(w).
-2*w**2*(w + 1)*(3*w + 1)/5
Let r(n) be the second derivative of n**6/50 + 9*n**5/100 - 13*n**4/20 - 51*n**3/10 - 54*n**2/5 - 81*n. Factor r(l).
3*(l - 4)*(l + 1)*(l + 3)**2/5
Suppose -28*w = -12*w. Let o(r) be the first derivative of 7 - 2/33*r**3 + 0*r**2 + w*r. Factor o(s).
-2*s**2/11
Let t(m) be the third derivative of -m**6/1620 + m**5/270 + m**3/3 - 10*m**2. Let w(g) be the first derivative of t(g). Let w(i) = 0. What is i?
0, 2
Let t(f) = 2*f**3 - 8*f**2 - 14*f. Let x(i) = 5*i**3 - 15*i**2 - 27*i + 2. Let v(g) = 9*t(g) - 4*x(g). Find w such that v(w) = 0.
-4, -1
Let l(r) be the second derivative of r**4/102 + 20*r**3/51 + 100*r**2/17 - 30*r - 2. Solve l(o) = 0 for o.
-10
Let l(s) = 7*s**2 + 13*s - 39. Let o(c) = c**2 + c - 1. Let w(a) = -l(a) - 3*o(a). Suppose w(m) = 0. What is m?
-3, 7/5
Let t(z) be the second derivative of -z**8/26880 - z**7/3360 - z**6/960 - z**5/480 + z**4/6 - 4*z. Let n(k) be the third derivative of t(k). Solve n(v) = 0.
-1
Let d(l) be the second derivative of -l**5/90 + 7*l**4/27 + 68*l**3/27 + 8*l**2 + 10*l + 2. Factor d(o).
-2*(o - 18)*(o + 2)**2/9
Suppose 2*a = -2*q + 120, -q - 245 = -5*q - 3*a. Factor 65 + p**3 - 4*p - q.
p*(p - 2)*(p + 2)
Suppose 0 - 26/11*f**2 - 16/11*f**3 - 2/11*f**4 - 12/11*f = 0. Calculate f.
-6, -1, 0
Let h(q) = q**2 - 2*q - 6. Let x(g) = 11*g**2 - 262*g - 291. Let k(l) = -6*h(l) + x(l). Let k(r) = 0. What is r?
-1, 51
Let r = 218 + -216. Suppose -r*j + 13*j = 6*j. Determine i so that -2/7*i**2 + j + 0*i = 0.
0
Let k(g) = -12*g**3 - 80*g**2 - 127*g. Let y(n) = 18*n**3 + 120*n**2 + 190*n. Let v(h) = -8*k(h) - 5*y(h). Suppose v(x) = 0. Calculate x.
-11/3, -3, 0
Let g = -137/54 + 1/27. Let h = g - -11/4. Factor -3/2*k**2 - 1/4 + k - h*k**4 + k**3.
-(k - 1)**4/4
Suppose 5*g = 5*c - 80, 5*c - 50 = -2*g - 3*g. Suppose q + c = -4*m, 0*m = -q - 3*m - 9. Factor -104*a + 99*a - a**q + 6*a**3.
5*a*(a - 1)*(a + 1)
Suppose 5*x**2 + 25*x - 1368 + 1368 = 0. Calculate x.
-5, 0
Factor -16 + 4*o**3 + 40/3*o**2 - 4/3*o.
4*(o - 1)*(o + 3)*(3*o + 4)/3
Solve 1/3*a**4 - 17/6*a**2 + 7/6*a**3 - 29/3*a - 4 = 0.
-4, -2, -1/2, 3
Suppose 2*u - 18 = -4*g, 0 = 5*u + 4*g - 14 - 13. Suppose 0 = -7*z + u + 11. Factor 0*c + 2/5*c**4 - 2/5*c**z + 0 + 0*c**3.
2*c**2*(c - 1)*(c + 1)/5
Factor 73*k**4 - 4*k**3 - 71*k**4 + 2*k**2 + 0*k**2.
2*k**2*(k - 1)**2
Let f(t) = -16*t**2 - 6*t - 1. Let q(n) = -n**2 - n - 1. Let z be (3 + -6 + 4)*1. Let x(u) = z*q(u) - f(u). Determine y, given that x(y) = 0.
-1/3, 0
Suppose -5 = -2*g - 0*t - t, -g = 4*t + 8. Let k be (-32)/(-18) + g/18. Factor -x**3 - x + 5*x - 33*x**2 + 25*x**k + 5*x**3.
4*x*(x - 1)**2
Let c = 27 - 24. Let l be 1 + -1 + (-2 - -2). Determine p so that l*p**3 - 8*p**c + 10*p**3 + 6*p**2 + 4*p + 0*p**2 = 0.
-2, -1, 0
Factor -13*h**3 + 38*h**3 + 15*h**2 - 60 - 10*h**3 - 20*h - 10*h**3.
5*(h - 2)*(h + 2)*(h + 3)
Let b(n) be the third derivative of n**6/420 - 2*n**5/105 - 5*n**4/21 + 16*n**3/7 + 380*n**2. Factor b(l).
2*(l - 6)*(l - 2)*(l + 4)/7
Let a(u) be the second derivative of -u**6/20 - 3*u**5/80 + 9*u**4/16 + u**3/2 - 3*u**2/2 - 5*u + 22. Let a(m) = 0. Calculate m.
-2, -1, 1/2, 2
Let q(u) be the first derivative of -u**4/4 - 10*u**3/3 + u**2/2 + 10*u - 41. Factor q(o).
-(o - 1)*(o + 1)*(o + 10)
Let r(x) be the first derivative of x**5/240 - x**4/96 - x**3/12 - 3*x**2/2 - 16*x + 16. Let c(q) be the second derivative of r(q). Solve c(m) = 0.
-1, 2
Let d(i) = 6*i**3 - 12*i**2 + 6*i. Let t(x) = -7*x**3 + 14*x**2 - 7*x. Let o(z) = 5*d(z) + 4*t(z). What is j in o(j) = 0?
0, 1
Suppose 0 = -n + 6 - 4. What is o in -54*o**n - 3*o**4 - 52*o**3 - 3 + 13*o**3 + 39*o - 3 + 63*o**4 = 0?
-1, 1/4, 2/5, 1
Let h(l) be the third derivative of l**6/30 - l**5/15 - l**4/3 - 4*l**2 + 16*l. Determine z so that h(z) = 0.
-1, 0, 2
Let g(d) be the first derivative of d**4/40 - 4*d**3/15 - d**2/20 + 4*d/5 - 536. Solve g(m) = 0.
-1, 1, 8
Suppose -24/7*v + 1/7*v**2 + 6/7*v**3 + 1/7*v**4 + 16/7 = 0. What is v?
-4, 1
Let k(p) be the third derivative of -p**7/630 + 11*p**6/360 - 11*p**5/60 + 5*p**4/72 + 25*p**3/9 - 82*p**2. Suppose k(a) = 0. Calculate a.
-1, 2, 5
Suppose -84*y = -79*y. Determine r so that -4/3*r**3 + y - 2/3*r + 1/3*r**4 + 5/3*r**2 = 0.
0, 1, 2
Suppose 6*x = 16 + 44. Factor 0*w**2 + 335 + 0*w**2 - 2*w**2 + x*w - 343.
-2*(w - 4)*(w - 1)
Let a(h) be the second derivative of h**3 - 9*h + 0 + 0*h**2 - 1/180*h**6 + 1/30*h**5 + 0*h**4. Let z(d) be the second derivative of a(d). Factor z(w).
-2*w*(w - 2)
Let y = 77867/5 - 15663. Let z = 90 + y. Factor 0*f**2 - z*f**3 + 2/5*f + 0.
-2*f*(f - 1)*(f + 1)/5
Let x(o) be the first derivative of -o**6/210 + o**5/140 - 9*o - 17. Let l(k) be the first derivative of x(k). Solve l(v) = 0.
0, 1
What is m in -4/5 + 42/5*m**2 + 38/5*m = 0?
-1, 2/21
Let b(v) be the first derivative of -2/3*v**4 + 1/6*v**5 + 0*v + 7/36*v**6 + 12 + 2/9*v**3 + 0*v**2. Solve b(k) = 0 for k.
-2, 0, 2/7, 1
Let v be (-3)/7 + 850/1750. Let f(q) be the first derivative of 0*q**2 - v*q**5 + 0*q - 1/14*q**4 + 0*q**3 + 2. Factor f(z).
-2*z**3*(z + 1)/7
Let -6*w**3 + 25*w**3 + 29*w**3 - 12 + 