 Factor h(o).
5*o**3
Let o(h) be the third derivative of h**7/1470 - h**6/84 - 11*h**5/420 - 75*h**2 + 2. Factor o(s).
s**2*(s - 11)*(s + 1)/7
Let g(q) = -12*q**3 + 128*q**2 + 44*q - 30. Let m(k) = -12*k**3 + 128*k**2 + 44*k - 35. Let j(u) = 7*g(u) - 6*m(u). Factor j(o).
-4*o*(o - 11)*(3*o + 1)
Let l(a) be the second derivative of -a**7/105 - 4*a**6/75 - 3*a**5/50 - 45*a - 4. Find x such that l(x) = 0.
-3, -1, 0
Let n(h) be the second derivative of 0*h**6 + 1/21*h**7 + 0 + 0*h**2 - 1/5*h**5 + 0*h**4 + 1/3*h**3 + 13*h. Factor n(x).
2*x*(x - 1)**2*(x + 1)**2
Let x(s) be the third derivative of 9*s**2 - 2/35*s**5 - 1/70*s**6 + 0*s - 1/735*s**7 - 1/7*s**3 - 5/42*s**4 + 0. Factor x(o).
-2*(o + 1)**3*(o + 3)/7
Factor -21*m - 147/2 - 3/2*m**2.
-3*(m + 7)**2/2
Let o(r) be the first derivative of 7*r**4 - 104*r**3/3 + 40*r**2 + 32*r - 74. Factor o(n).
4*(n - 2)**2*(7*n + 2)
Let b = -2207 - -2209. Factor -8/3 - 6*p - 2/3*p**3 - 4*p**b.
-2*(p + 1)**2*(p + 4)/3
Let 13 + 1/2*o**2 - 27/2*o = 0. What is o?
1, 26
Suppose 0 = -3*z + 4*z + 5*t - 50, 5*t = 5. Let x = 45 - z. Factor x + 0*y + 0*y**3 - 1/5*y**2 + 1/5*y**4.
y**2*(y - 1)*(y + 1)/5
Factor 64*b**2 - 21*b - 18 + 60*b**2 - 127*b**2.
-3*(b + 1)*(b + 6)
Let i be ((-640)/384)/(20/(-24)). Factor 0 - 3/2*u - 3/4*u**i.
-3*u*(u + 2)/4
Determine c, given that -5/4*c**4 + 15/2*c - 65/4*c**2 + 0 + 10*c**3 = 0.
0, 1, 6
Let j(r) be the second derivative of r**4/40 + 119*r**3/60 - 2*r**2 + 714*r. Factor j(q).
(q + 40)*(3*q - 1)/10
Suppose -1308*x = -1321*x. Suppose 4*u = 6*u. Let 1/4*l**2 + u + x*l = 0. What is l?
0
Let r(y) be the second derivative of y**7/28 + 3*y**6/4 - 27*y**5/5 + 19*y**4/2 + 81*y. Factor r(f).
3*f**2*(f - 2)**2*(f + 19)/2
Let h(v) be the third derivative of 0 - 12*v**2 - 11/80*v**5 - 1/12*v**3 - 29/480*v**6 - 5/32*v**4 - 3/280*v**7 + 0*v. Find m such that h(m) = 0.
-1, -2/9
Determine x so that -168*x - 330 - 3/2*x**2 = 0.
-110, -2
Let w = 76 - 76. Solve 12*l**3 - 16*l**4 + 3*l**5 + w*l**4 + l**5 - 16*l + 16*l**2 = 0.
-1, 0, 1, 2
Let -4/7*k**3 - 96/7*k - 80/7 - 36/7*k**2 = 0. Calculate k.
-5, -2
Factor -2*t**2 + 0*t + 0 - 5/2*t**3 - 1/2*t**4.
-t**2*(t + 1)*(t + 4)/2
Let c(w) be the third derivative of -w**8/3360 - w**7/560 - w**6/720 - 5*w**4/8 + 5*w**2. Let a(p) be the second derivative of c(p). Factor a(x).
-x*(x + 2)*(4*x + 1)/2
Let j(b) = -4*b**2 - 8*b + 3. Let f(q) = 5*q**2 + 11*q - 2. Let r(i) = -3*f(i) - 4*j(i). Solve r(p) = 0 for p.
-2, 3
Let p(u) = -u**3 - 14*u**2 + 33*u + 16. Suppose 4*h = 90 - 154. Let v be p(h). Factor -2/9*s**4 + 4/9*s**2 + v*s**3 + 0*s - 2/9.
-2*(s - 1)**2*(s + 1)**2/9
Let m(k) be the second derivative of -162*k**7/7 - 9*k**6/2 + 807*k**5/20 - 35*k**4/4 - 25*k**3/2 + 80*k. Solve m(o) = 0.
-1, -1/4, 0, 5/9
Let v(k) be the third derivative of -k**6/80 - 23*k**5/40 - 175*k**4/16 - 441*k**3/4 - 365*k**2. Factor v(w).
-3*(w + 7)**2*(w + 9)/2
Find o, given that -25*o - 35/3*o**3 + 90*o**2 - 2000/3 = 0.
-16/7, 5
Let q(z) = -2*z**3 + z**2 + z + 228. Let w be q(0). Let k = 2510/11 - w. Factor -k*h - 4/11 + 2/11*h**2.
2*(h - 2)*(h + 1)/11
Let x(u) be the third derivative of -u**9/15120 - u**8/5040 + u**5/3 + 21*u**2. Let f(y) be the third derivative of x(y). Factor f(n).
-4*n**2*(n + 1)
Suppose 7 = -o - r, o - 422 = -5*r - 457. Let -8/7 + 6/7*k**2 + o*k - 2/7*k**3 = 0. Calculate k.
-1, 2
Let n be (-22)/33*(1 - 16). Determine t, given that 21*t - 3*t**3 - 12*t + 4 - n = 0.
-2, 1
What is b in 0 + 18/5*b**2 + 0*b - 21/5*b**3 + 0*b**4 + 3/5*b**5 = 0?
-3, 0, 1, 2
Let g be (651/(-62) - -11)*((-48)/10)/(-2). Factor g*q + 3/5*q**2 + 3/5.
3*(q + 1)**2/5
Suppose -144/5*v - 42/5*v**2 - 2/5*v**3 - 136/5 = 0. What is v?
-17, -2
Let x(b) be the second derivative of 2*b**6/315 + 11*b**5/210 - b**4/14 + b**3/6 + 5*b**2 + 8*b + 2. Let a(i) be the second derivative of x(i). Factor a(s).
4*(s + 3)*(4*s - 1)/7
Suppose 0*d - 2*d + 74 = 0. Let m(y) = y**2 + 8*y - 17. Let w be m(-10). What is b in 37 - w*b**2 - 3*b**3 - d = 0?
-1, 0
Let p be (133/(-28) - -4)/(12/(-43)). Let j = -1/48 + p. Factor -4/3*v - j*v**2 + 4/3*v**4 - 4/3*v**5 + 8/3*v**3 + 4/3.
-4*(v - 1)**3*(v + 1)**2/3
Let k(q) = q**3 + 13*q**2 - 2*q - 13. Suppose 58 + 7 = -5*n. Let j be k(n). Factor -15*l - 2*l**2 + j*l + 3 - 1 + 2*l**3.
2*(l - 1)**2*(l + 1)
Suppose -8*w + 0*w = -16. Factor -5 + 13 + 4*x**4 + 12*x**3 - 12*x - 20*x**w + 8.
4*(x - 1)**2*(x + 1)*(x + 4)
Let j be 51/18 + (-35)/42. Let a(m) be the first derivative of 0*m**j - 2/3*m**6 - 3/5*m**5 - 1/8*m**4 + 0*m**3 + 0*m + 1. Factor a(z).
-z**3*(2*z + 1)*(4*z + 1)/2
Let u be -1*((-37 - 2) + 0). Solve -408*x + 135*x**2 - 392*x**2 - u - 21 + 147*x**3 - 394*x**2 = 0 for x.
-2/7, 5
Let p(x) be the third derivative of -1/540*x**6 + 1/90*x**5 + 0 + 2/27*x**3 - 1/945*x**7 - 3*x**2 + 0*x + 5/108*x**4. Solve p(d) = 0.
-1, 2
Let c be 4/46 + (-252)/(-805). Let p(i) be the second derivative of -2*i - c*i**3 - 6/5*i**2 + 0 - 1/20*i**4. Solve p(l) = 0.
-2
Let t = 1533/3289 - 79/253. Solve 0*m**2 + t*m**4 + 4/13*m - 2/13 - 4/13*m**3 = 0.
-1, 1
Let n be -4 - (7 + 330/(-34) - 7) - 5. Factor n*u**3 + 18/17*u**2 + 0*u + 0 + 2/17*u**4.
2*u**2*(u + 3)**2/17
Suppose 12*h + 4666 = 4666. Factor -4/9*m**2 + 2/3*m**3 + h + 0*m.
2*m**2*(3*m - 2)/9
Let b(u) = -8*u**3 + 7*u**2 + 10*u. Let z be (16/(-10))/(1/5). Let m = -10 - z. Let w(t) = t**3 - t**2 - t. Let p(i) = m*b(i) - 18*w(i). What is k in p(k) = 0?
0, 1
Suppose -2/17*b**2 - 12/17 + 14/17*b = 0. Calculate b.
1, 6
Suppose 0*d - 12 = -4*d. Determine n, given that -18*n**2 + 0*n**2 - 5*n**3 - 12*n + 2*n**3 - d*n = 0.
-5, -1, 0
Suppose -t + 4 = -0*b + 3*b, -3*b + 29 = -4*t. Suppose 3*l**b - 12*l**2 + 253 + 12*l - 253 = 0. Calculate l.
0, 2
Let f(t) be the third derivative of -t**8/1008 - t**7/70 - t**6/24 + 5*t**5/36 + 126*t**2. Factor f(q).
-q**2*(q - 1)*(q + 5)**2/3
Suppose -g = -0 - 8. Suppose 11 = 5*u - t, 0 = 4*u - 8*t + 3*t + g. Factor 6*a**3 - 10*a**2 - a**u + 16*a**2 - 2*a**3.
3*a**2*(a + 2)
Let d(j) be the second derivative of j**4/9 + 10*j**3/9 - 4*j**2 - 80*j - 1. Factor d(v).
4*(v - 1)*(v + 6)/3
Let b(w) be the first derivative of -w**7/1932 - 2*w**6/1035 - w**5/1380 + w**4/138 - 13*w**3/3 - 3. Let a(r) be the third derivative of b(r). Factor a(q).
-2*(q + 1)**2*(5*q - 2)/23
Let t(s) be the second derivative of s**6/480 - s**5/80 - s**4/24 + 8*s**2 + 18*s. Let f(a) be the first derivative of t(a). Let f(o) = 0. Calculate o.
-1, 0, 4
Let u(v) = 5*v**2 - 607*v + 18605. Let b(f) = -15*f**2 + 1820*f - 55815. Let y(j) = 3*b(j) + 10*u(j). Suppose y(m) = 0. Calculate m.
61
Let r(q) be the first derivative of 0*q**2 + 0*q - 1/9*q**3 + 7 + 1/30*q**5 - 1/24*q**4. Factor r(f).
f**2*(f - 2)*(f + 1)/6
Let o be (-2 - -1)*6/(-3). Determine a, given that 0*a**4 - 5*a**2 + 4*a - 2*a**2 + a**o + 2*a**4 = 0.
-2, 0, 1
Let x(d) be the third derivative of -1/420*d**7 + 1/120*d**5 + 0*d + 0 - 1/96*d**4 + 0*d**6 + 1/1344*d**8 + 0*d**3 - 12*d**2. Let x(b) = 0. What is b?
-1, 0, 1
Let r(o) be the second derivative of -o**7/2940 - o**6/1260 - 3*o**3/2 + 5*o. Let g(d) be the second derivative of r(d). Factor g(w).
-2*w**2*(w + 1)/7
Let s(l) = 7*l**2 + 3*l - 9. Let n(z) = -8*z**2 - 4*z + 6. Let f(y) = -5*n(y) - 6*s(y). Factor f(u).
-2*(u - 4)*(u + 3)
Let v(p) be the third derivative of -2*p**7/35 - p**6/15 + 4*p**5/5 + 4*p**4/3 - 60*p**2 + 2*p. Factor v(f).
-4*f*(f - 2)*(f + 2)*(3*f + 2)
Suppose -3*s = -s - 56. Let -32*p - s*p - 17*p**2 - 13*p**2 - 5*p**3 - 40 = 0. Calculate p.
-2
Let v = -17/293 + 1979/3809. Let 0 + 24/13*s**2 + 22/13*s**3 + 8/13*s + v*s**4 = 0. What is s?
-2, -1, -2/3, 0
Factor -2/3*s**2 - 2/3*s**4 + 0 - 4/3*s**3 + 0*s.
-2*s**2*(s + 1)**2/3
Let b(w) be the first derivative of -w**5/15 + w**4/4 - w**3/3 + w**2/6 - 388. Suppose b(c) = 0. Calculate c.
0, 1
Let i(x) be the first derivative of -50*x**3/3 - 20*x**2/3 - 8*x/9 - 39. Factor i(y).
-2*(15*y + 2)**2/9
Solve -220 - 5*c**4 - 75*c**2 - 854*c**3 + 1798*c**3 - 365*c - 879*c**3 = 0 for c.
-1, 4, 11
Let n(v) be the first derivative of -2*v**3 - 9/4*v**4 + 0*v + 3/2*v**2 + 15. Factor n(q).
-3*q*(q + 1)*(3*q - 1)
Let s(g) be the second derivative of g**5/35 - g**4/42 - 13*g**3/21 - 6*g**2/7 + 12*g. Find x such that s(x) = 0.
-2, -1/2, 3
Let b = -95 + 94. Let d(f) = f. Let w(h) = -h**2 - h - 4. Let o