 0 + 2/39*s**3. Factor f(o).
2*o*(o + 2)/13
Factor -474/5*l - 18723/5 - 3/5*l**2.
-3*(l + 79)**2/5
Find u such that 2*u**3 - 4*u + 49*u + u**3 + 48*u**2 = 0.
-15, -1, 0
Let m(i) be the second derivative of i**4/72 + 4*i**3/3 + 47*i**2/12 - 4*i - 32. Let m(o) = 0. Calculate o.
-47, -1
Let l(n) = -9*n - 59. Let d be l(-7). Let x = 1/14 + 23/70. Find y such that 4/5*y**3 - 4/5*y + 2/5*y**2 - x*y**d + 0 = 0.
-1, 0, 1, 2
Let k(s) = -12*s - 62. Let x be k(-5). Let a(j) = j**3 + 4*j**2 + 3*j + 1. Let n be a(x). Suppose 0*z + 3/2*z**4 - 3/2*z**3 + 0 - n*z**2 = 0. Calculate z.
-1, 0, 2
Let d(l) be the second derivative of -1728/13*l**2 - 1/130*l**5 - 6/13*l**4 + 6 - 144/13*l**3 - 4*l. Determine x so that d(x) = 0.
-12
Let v(f) be the third derivative of -f**5/90 + 7*f**4/36 - 10*f**3/9 + 16*f**2 + 3. Find s such that v(s) = 0.
2, 5
Factor -3/8*s**2 + 0 - 3/4*s**3 + 0*s.
-3*s**2*(2*s + 1)/8
Let x = -1711 - -1713. Factor 2/5*z**4 - 4/5 - 6/5*z**2 - 2/5*z**3 + x*z.
2*(z - 1)**3*(z + 2)/5
Factor -44*a**2 + 43*a**2 + 20 + 6*a + 13 + 2*a.
-(a - 11)*(a + 3)
Let q = 823/26 - 63/2. Suppose 22*z + 10571 - 10615 = 0. Factor -2/13*h + 0 + q*h**z.
2*h*(h - 1)/13
Let n(d) be the third derivative of d**5/30 - 9*d**4/4 - 58*d**3/3 + 4*d**2 - 4. Find b, given that n(b) = 0.
-2, 29
Let p(l) = 8*l**3 + 3*l**2 - 18*l - 10. Let k(q) = 8*q**2 + 72*q**3 + 58*q**3 - 53*q - 30 - 107*q**3. Let n(d) = 3*k(d) - 8*p(d). Find r such that n(r) = 0.
-1, 2
Let k(v) = v**3 + 198*v**2 + 13068*v + 287496. Let j(f) = -f**3 - 198*f**2 - 13068*f - 287496. Let m(g) = 3*j(g) + 4*k(g). Factor m(b).
(b + 66)**3
Let y(s) be the third derivative of s**9/1008 - s**8/168 + 3*s**7/280 - s**6/180 + 7*s**3/6 + 3*s**2. Let g(a) be the first derivative of y(a). Factor g(t).
t**2*(t - 2)*(t - 1)*(3*t - 1)
Let i(y) = -y**5 - 2*y**2 + y - 1. Let r(g) = 6*g**5 + 25*g**4 + 40*g**3 + 22*g**2 - g + 1. Let b(z) = -i(z) - r(z). What is n in b(n) = 0?
-2, -1, 0
Let m(h) = 2*h**2 + h + 7. Let r be m(-3). Factor -75*f - r*f**2 + 5 + 21*f**3 + 177*f**2 + 5 - 81*f**3.
-5*(f - 2)*(3*f - 1)*(4*f - 1)
Let l = 533 + -529. Let r(k) be the second derivative of -1/2*k**3 + 0*k**2 - 3/40*k**5 + 0 + 7*k + 3/8*k**l. Solve r(i) = 0.
0, 1, 2
Suppose 3*o - 7*o = -12. Suppose 10 = -o*y + 8*y. Suppose 1/6*t - 1/6*t**3 - 1/6 + 1/6*t**y = 0. Calculate t.
-1, 1
Suppose 0 = 11114*i - 11099*i - 30. Find n, given that 1/9*n + 2/9 - 1/9*n**i = 0.
-1, 2
Let f(j) be the third derivative of -2*j**8/21 + 34*j**7/105 - j**6/3 + j**5/15 - 46*j**2 + 4. Factor f(l).
-4*l**2*(l - 1)**2*(8*l - 1)
Let l(c) = -9*c**2 + 12*c - 28*c**3 - 12*c + c**2 - 20*c**4. Let t(m) = 20*m**4 + 28*m**3 + 8*m**2. Let d(h) = 4*l(h) + 3*t(h). Solve d(q) = 0 for q.
-1, -2/5, 0
Let o be -11 + 98/6 + -5. Factor -4/3 + 4/3*p - o*p**2.
-(p - 2)**2/3
Let u(j) be the third derivative of -j**8/420 + j**7/35 + 7*j**6/90 - 2*j**3 - 7*j**2. Let s(m) be the first derivative of u(m). Factor s(o).
-4*o**2*(o - 7)*(o + 1)
Let u(z) = 7*z**3 - 40*z**2 - 7*z + 36. Let l(f) = 6*f**3 - 39*f**2 - 6*f + 36. Let y(i) = 4*l(i) - 3*u(i). Factor y(n).
3*(n - 12)*(n - 1)*(n + 1)
Let l be ((9/45)/((-1)/3))/(-1). Let m(g) be the first derivative of -5 - 3*g**3 + 0*g + 0*g**4 + l*g**5 + 3*g**2. Factor m(k).
3*k*(k - 1)**2*(k + 2)
Let o(c) be the second derivative of 0 + 1/6*c**4 - 3/20*c**5 + 0*c**2 + 0*c**3 + 5*c + 1/30*c**6. Factor o(m).
m**2*(m - 2)*(m - 1)
Let q(w) be the second derivative of 0 - 1/15*w**3 - 1/75*w**6 - 2/5*w**2 + 1/10*w**4 + 1/50*w**5 - 4*w. Suppose q(d) = 0. Calculate d.
-1, 1, 2
Suppose 47 - 2 = 9*k. Suppose -2*h - 16 = -k*s - 4*h, 3*s = 2*h + 16. Suppose 0*w + 0*w**2 + 0*w**3 + 0*w**s + 0 - 1/4*w**5 = 0. What is w?
0
Let p be 3/(330/320) - 2. Suppose 10/11*h + 2/11 - 2/11*h**2 - p*h**3 = 0. What is h?
-1, -1/5, 1
Let l be -2*28/(-24)*3. Let c = -3 + l. Factor -232*g**3 + 16 - 45*g - 5*g + 3*g**2 - 42*g + 205*g**2 + 128*g**c - 28*g**5.
-4*(g - 1)**4*(7*g - 4)
Suppose -3*t = 5*k + 18, -2*k - 4*t + 3*t - 7 = 0. Let c be (-12)/56 + k*(-5)/30. Find z such that 6/7*z**2 + 4/7*z + 0 + c*z**3 = 0.
-2, -1, 0
Let z(n) = 4*n. Let q(c) = -1 + 9*c - 14*c + c**2 + 3*c + 7*c. Let v(i) = -4*q(i) + 5*z(i). Find s, given that v(s) = 0.
-1, 1
Let j(b) be the first derivative of -2*b**5/55 + 10*b**3/11 - 10*b**2/11 - 48*b/11 - 400. Suppose j(q) = 0. What is q?
-4, -1, 2, 3
Suppose -3*j - 4*n = -6 - 15, -2*n = -2*j + 14. Suppose 0*q = j*q - 21. Factor 30/7*d**q + 0 + 2/7*d + 2*d**2 + 18/7*d**4.
2*d*(d + 1)*(3*d + 1)**2/7
Let v(h) be the third derivative of h**5/180 + 7*h**4/72 - 2*h**2 + 15*h. Suppose v(n) = 0. Calculate n.
-7, 0
Let -2*c - 15*c - 19*c - 21*c - 3*c + 180 + 5*c**2 = 0. What is c?
6
Let v be (9/2)/3 + (-35)/(-70). Determine d so that 60 + 71 - 149 + 12*d - 2*d**v = 0.
3
Let y(j) be the second derivative of 8*j**3 + 1/10*j**5 - 2 + 2*j + 20*j**2 + 3/2*j**4. Find s, given that y(s) = 0.
-5, -2
Let m(j) be the second derivative of j**7/945 - j**5/90 - j**4/54 + 9*j**2/2 - 9*j. Let t(d) be the first derivative of m(d). Factor t(f).
2*f*(f - 2)*(f + 1)**2/9
Let t(l) = -2*l - 30. Let y = 31 - 47. Let w be t(y). Let q - 6*q**2 - q - 4*q**w + 5*q**3 + 5*q = 0. What is q?
0, 1
Let t(g) = -g + 4. Let o(k) = 5*k**2 + 106*k + 156. Let w(p) = -o(p) - 6*t(p). Solve w(n) = 0.
-18, -2
Let d(g) = g**3 + 10*g**2 - 2*g - 17. Let j be d(-10). Suppose -8/7*y**2 + 0 + 6/7*y + 2/7*y**j = 0. What is y?
0, 1, 3
Factor -32*n**5 + 2*n - 6*n + 6*n**2 + 14*n**4 - 20*n**4 + 34*n**5 + 2*n**3.
2*n*(n - 2)*(n - 1)**2*(n + 1)
Let t be (-10)/70*(-10 - -6). Factor 0 + 2/7*f**2 + t*f.
2*f*(f + 2)/7
Factor -2/11*c**2 + 28/11 - 10/11*c.
-2*(c - 2)*(c + 7)/11
Suppose 33*h + 27 = 36*h. Factor 3*p**2 + 12*p**2 + 12*p**3 + 19*p**3 - 21*p + h - 34*p**3.
-3*(p - 3)*(p - 1)**2
Find t such that 10338 + t**3 + 4*t**3 + 505*t + 260*t**2 - 10088 = 0.
-50, -1
Suppose -1/3*r**2 - 47/3*r + 0 = 0. Calculate r.
-47, 0
Factor 0*l + 32/7*l**3 + 16/7*l**2 + 12/7*l**4 + 0.
4*l**2*(l + 2)*(3*l + 2)/7
Let m(x) be the second derivative of -2*x**6/105 + 9*x**5/35 + 4*x**4/21 - 24*x**3/7 + x - 8. Factor m(n).
-4*n*(n - 9)*(n - 2)*(n + 2)/7
Let s(w) = -w**3 - 1. Let u be s(-1). Suppose 4*h - 24 + 16 = u. Suppose 0*n + 0*n**3 + 0*n**h + 0 - 2/5*n**4 = 0. Calculate n.
0
Suppose -5*l + 557 = 4*i, -i - 62 + 220 = 5*l. Let r = 135 - i. Solve 4*j**r + 2*j**3 + 1/2 + 5/2*j = 0.
-1, -1/2
Suppose -8 + 50/3*r**3 - 238/3*r - 580/3*r**2 = 0. Calculate r.
-1/5, 12
Factor 1/2 - 1/2*j**3 + 3/2*j**2 - 3/2*j.
-(j - 1)**3/2
Let x(n) be the second derivative of n**8/20160 - n**7/7560 - n**6/540 + n**5/90 - 13*n**4/12 + 27*n. Let v(c) be the third derivative of x(c). Factor v(s).
(s - 2)*(s - 1)*(s + 2)/3
Let f(h) = 36*h + 2740. Let x be f(-76). Suppose 6/7*b**2 - 16/7*b + 4/7*b**3 - 2/7*b**x + 8/7 = 0. What is b?
-2, 1, 2
Let a(r) be the second derivative of -7*r**5/60 + 29*r**4/18 - 50*r**3/9 + 4*r**2 + 459*r. Find g such that a(g) = 0.
2/7, 2, 6
Let b(k) be the third derivative of -k**7/56 - k**6/3 - 8*k**5/3 - 13*k**4/12 - k**2. Let h(j) be the second derivative of b(j). Suppose h(r) = 0. Calculate r.
-8/3
Suppose w - 31 = 24. Factor 8*q + q**2 + 51 - w - 5*q**2.
-4*(q - 1)**2
Factor -5*b + 17*b + 12 - 3*b**4 - 416*b**3 + 404*b**3 - 9*b**2.
-3*(b - 1)*(b + 1)*(b + 2)**2
Factor 0 - 2/15*t**3 - 4*t + 62/15*t**2.
-2*t*(t - 30)*(t - 1)/15
Let l(z) be the second derivative of z**6/1980 - z**4/132 + z**3/6 - 12*z. Let w(b) be the second derivative of l(b). Factor w(u).
2*(u - 1)*(u + 1)/11
Factor 16/9*d + 0 - 4/3*d**2 + 2/9*d**3.
2*d*(d - 4)*(d - 2)/9
Suppose 0 = 27*a - 23*a - 72. Let v = 7 + a. Find p, given that 6 + 11 + 12*p**3 - v + 16*p**2 - 4*p = 0.
-1, 2/3
Let k(n) = -5*n + 43. Let r be k(8). Suppose -2*b - r*b = -b. Let -2/9*z - 2/9*z**2 + b = 0. What is z?
-1, 0
Let n = 49/4 + -1027/84. Let x(a) be the third derivative of 0 - 2*a**2 + 0*a**3 - 1/210*a**5 + 0*a + n*a**4. Factor x(i).
-2*i*(i - 2)/7
Let f(x) = 36*x**2 - 2*x + 1. Let w be f(1). Factor w*n**2 - 40*n**2 - 9 - 11 - 20*n.
-5*(n + 2)**2
Let t be (64/(-120))/((-38)/285). Factor y**t + 3*y**2 + 0 + 10/3*y**3 + 2/3*y.
y*(y + 1)*(y + 2)*(3*y + 1)/3
Let t be -3*(188/(-36) - -5)*(-24)/(-14). Determine m so that -t - 4/7*m**4 - 4/7*m + 12/7*m**2 + 4/7*m**3 = 0.
-1, 1, 2
Let y(d) be the first derivat