ive of -i**6/180 - i**5/15 - i**4/4 + 11*i**3/3 + 13. Let k(x) be the third derivative of f(x). Factor k(o).
-2*(o + 1)*(o + 3)
Let x(m) be the first derivative of 4*m**3 + 28*m**2 + 64*m + 56. Factor x(w).
4*(w + 2)*(3*w + 8)
Let 0 + 1/9*a**2 - 1/9*a = 0. Calculate a.
0, 1
Let k = -16 + 18. Let p(a) = -59*a**2 + 170 + 44*a - 146 + 5*a**k. Let u(w) = 11*w**2 - 9*w - 5. Let n(h) = -6*p(h) - 28*u(h). Factor n(q).
4*(q - 1)*(4*q + 1)
Let k(i) be the first derivative of 0*i + 1/40*i**5 - 1/16*i**2 - 1/24*i**3 + 1/32*i**4 + 19. Factor k(t).
t*(t - 1)*(t + 1)**2/8
Suppose -x + 5*x = 0, 2*r - 18 = 5*x. Suppose 3*q - r = -3. Factor -2/3*b**q + 0*b - 1/3*b**4 + b**3 + 0.
-b**2*(b - 2)*(b - 1)/3
Let t = -43/60 + 11/15. Let o(z) be the third derivative of -t*z**5 - 1/630*z**7 + 0*z**3 + 0*z - 1/72*z**4 - 2*z**2 + 0 - 1/120*z**6. Factor o(w).
-w*(w + 1)**3/3
Let i(f) be the first derivative of 1/26*f**4 - 2/13*f**3 - 13 + 2/13*f**2 + 0*f. Solve i(l) = 0.
0, 1, 2
Let t(q) = -8*q + 2 + 5*q - 3*q**3 - 7*q**4 - 6 + 19*q**2 - 8*q**2. Let j(d) = d**4 + d**3 - d**2. Let p(c) = -6*j(c) - t(c). Let p(b) = 0. Calculate b.
-1, 1, 4
Solve -2353 - 1821 - 2871*d + 2090 - 4450 - 3*d**3 + 192*d**2 + 0*d**3 = 0 for d.
-2, 33
Let y be 20/30 - (46/(-30) + 2). Factor 0 + 1/5*a**3 + y*a**2 - 2/5*a.
a*(a - 1)*(a + 2)/5
Let k = -4/5 - -197/240. Let s(w) be the third derivative of -3*w**2 + 1/360*w**5 + 1/18*w**3 - k*w**4 + 0*w + 0. Factor s(v).
(v - 2)*(v - 1)/6
Let j(c) = -15*c**2 - 151*c - 7. Let n be j(-10). Let u(p) be the first derivative of -2/9*p + 0*p**2 - 2 + 2/27*p**n. Factor u(z).
2*(z - 1)*(z + 1)/9
Suppose -3/2*i**4 + 3*i**3 - 3*i + 0 + 3/2*i**2 = 0. What is i?
-1, 0, 1, 2
Let t(i) be the first derivative of -i**8/560 + i**7/70 - i**6/40 - 11*i**3/3 + 24. Let p(g) be the third derivative of t(g). What is h in p(h) = 0?
0, 1, 3
Suppose 4*h + 3 = -4*g - 5, h - 2*g - 10 = 0. Factor -71 - 2*t**3 + 6*t**2 - 2*t**h + 67 + 2*t.
-2*(t - 2)*(t - 1)*(t + 1)
Factor 23/8 - 1/8*o**2 - 11/4*o.
-(o - 1)*(o + 23)/8
Let n(c) = -597*c**3 + 1428*c**2 + 969*c + 135. Let v(s) = -149*s**3 + 357*s**2 + 242*s + 34. Let p(x) = -2*n(x) + 9*v(x). Determine q, given that p(q) = 0.
-2/7, 3
Let z(o) = -o**2 - 3*o + 7. Let m(g) = -2*g + 1. Let d(i) = -3*m(i) - z(i). Factor d(f).
(f - 1)*(f + 10)
Factor 5*n**3 + 58*n - 19*n - 20*n**2 - 8*n - 11*n.
5*n*(n - 2)**2
Let l be (4/(-3))/(0 - 8/36). Let t(s) be the third derivative of 1/120*s**l + 0*s + 0*s**4 - 1/30*s**5 + s**2 + 0*s**3 + 0. Factor t(o).
o**2*(o - 2)
Let n(z) be the second derivative of -2/35*z**5 + 1/105*z**6 + 0*z**2 - 5*z + 5/42*z**4 + 0 - 2/21*z**3. Factor n(c).
2*c*(c - 2)*(c - 1)**2/7
Let q(a) be the third derivative of a**5/270 + a**4/18 + a**3/3 - 101*a**2. Find b such that q(b) = 0.
-3
Let a be 18/((-9 - (-78)/18)/(-3)). Solve 3/7*u**4 + a*u**2 + 0 - 27/7*u**3 - 81/7*u = 0 for u.
0, 3
Let q(m) be the second derivative of m**10/181440 - m**9/30240 + m**8/20160 - m**4/12 - 2*m. Let j(z) be the third derivative of q(z). Factor j(a).
a**3*(a - 2)*(a - 1)/6
Suppose -m + 1/2*m**3 + 1/2*m**5 + 0 - 3/2*m**4 + 3/2*m**2 = 0. Calculate m.
-1, 0, 1, 2
Let d be 1 + -1 + (-2 - -2). Factor -21 + 7*z - 2*z**2 + d*z + 13 + 3*z.
-2*(z - 4)*(z - 1)
Let n(i) be the first derivative of -25 - 5*i**3 - 9/2*i**2 + 27*i - 3/4*i**4. Find p such that n(p) = 0.
-3, 1
Let j(f) be the first derivative of 5*f**6/6 - 13*f**5 + 145*f**4/2 - 530*f**3/3 + 425*f**2/2 - 125*f - 39. Solve j(h) = 0.
1, 5
Let n(h) = -5*h**3 - 722*h**2 - 26623*h - 50408. Let t(q) = 10*q**3 + 1445*q**2 + 53245*q + 100815. Let l(m) = 5*n(m) + 2*t(m). Factor l(c).
-5*(c + 2)*(c + 71)**2
Let r(g) be the first derivative of -g**8/1176 - 3*g**7/490 - g**6/105 + 2*g**5/105 + 2*g**3 - 12. Let i(y) be the third derivative of r(y). Factor i(a).
-2*a*(a + 2)**2*(5*a - 2)/7
Factor -19*m**2 + m**3 + 39 - 6*m**2 - 53*m - 94 + 28.
(m - 27)*(m + 1)**2
Let p(f) be the third derivative of -f**7/840 - f**6/160 - f**5/240 + f**4/32 + f**3/12 + 9*f**2. Solve p(h) = 0 for h.
-2, -1, 1
Suppose -3*l - 3*l = -6. Suppose 0 = 4*j - l - 7. Let 2*s - 5*s**j + 3 + 6*s**2 - 2*s**2 = 0. Calculate s.
-1, 3
Solve -3/7*a**4 - 3171*a - 2058 - 8091/7*a**2 - 303/7*a**3 = 0.
-49, -2, -1
Let j(h) be the first derivative of -7*h**4 + 64*h**3/3 + 34*h**2 - 24*h - 59. Factor j(g).
-4*(g - 3)*(g + 1)*(7*g - 2)
Suppose 20*c - 4*c = -134*c. Suppose 4/7*a**2 + c + 8/7*a = 0. What is a?
-2, 0
Let w = -79/1974 + -6444241/21714. Let j = w + 297. Suppose -4/11 - j*y + 2/11*y**2 = 0. What is y?
-1, 2
Let g = -14/13 - -178/117. Let -g*x**3 + 4/9*x - 2/9 + 0*x**2 + 2/9*x**4 = 0. What is x?
-1, 1
Let l(m) be the first derivative of 7*m**4/20 - m**3/5 - 33*m - 20. Let c(w) be the first derivative of l(w). Find i, given that c(i) = 0.
0, 2/7
Let m(a) be the third derivative of -a**5/15 + 7*a**4/3 - 26*a**3/3 + 13*a**2 - 6*a. Let m(f) = 0. Calculate f.
1, 13
Suppose -4*k = -0*a - 2*a + 8, -16 = 4*k. Let u be 52/(-80)*-2 - a/(-8). Factor 2/5*z**5 + 0 - u*z**3 + 2/5*z + 0*z**4 + 0*z**2.
2*z*(z - 1)**2*(z + 1)**2/5
Factor 244*a - 456*a - 3*a**2 + 236*a + 27.
-3*(a - 9)*(a + 1)
Suppose 16 = -r + 21. Let u be 0*(r + (-63)/14). Suppose 2/9 + u*p - 2/9*p**2 = 0. What is p?
-1, 1
Let s(p) be the first derivative of -3*p**4/4 + 66*p**3 - 3267*p**2/2 + 843. Factor s(x).
-3*x*(x - 33)**2
Let -2100*m - 66564 + 1782*m - 4*m**2 + 1350*m = 0. Calculate m.
129
Let h = 44857 + -44855. Factor 2/17*d**4 + 6/17*d**3 + 2/17*d + 0 + 6/17*d**h.
2*d*(d + 1)**3/17
Let j = -699/20 - -35. Let y(k) be the second derivative of -j*k**5 + k**2 - k + 0 + 1/3*k**4 - 5/6*k**3. Factor y(a).
-(a - 2)*(a - 1)**2
Suppose -4*m + 3 = -3*t, 0 = -18*m + 13*m + 4*t + 3. Let -9/2*c**m - 1/2*c - 3*c**2 + 0 = 0. What is c?
-1/3, 0
Let j(a) be the first derivative of a**5/5 - a**4/3 - 13*a**3/9 - a**2 - 196. What is q in j(q) = 0?
-1, -2/3, 0, 3
Let w(o) = 9*o**2 + 24*o. Let m(v) = 3*v**2 + 8*v. Let n(a) = -11*m(a) + 4*w(a). Let u be n(-3). Find l such that 2/3 + 2/9*l**u + 2/9*l**2 - 10/9*l = 0.
-3, 1
Let s = -46 - -416/9. Let o = -2846 - -25618/9. Let -2/9 + 0*h**2 - 4/9*h + s*h**4 + o*h**3 = 0. What is h?
-1, 1
Let n = -1883/234876 - -2/1587. Let v = 595/444 + n. Determine g so that -2/3*g**3 + 0 + v*g - 2/3*g**2 = 0.
-2, 0, 1
Suppose 3*m - 6 = -3*k, m - 2*k = 4*m - 7. Let q = 3/116 - -55/116. Factor 1/4 + 1/2*o**m - q*o**2 + 1/4*o**4 - 1/4*o - 1/4*o**5.
-(o - 1)**3*(o + 1)**2/4
Let z(p) = 3*p**2 + 4*p + 7. Let x be 1072/(-32) + (-3)/(-2). Let f be (56/x)/((-1)/12). Let q(v) = v**2 + v + 2. Let j(o) = f*q(o) - 6*z(o). Factor j(u).
3*u*(u - 1)
Let v be 2 + 408/(-84) + 3. Factor v*o**2 + 1/7*o + 0.
o*(o + 1)/7
Let v(q) = q**3 + 6*q**2 + 6*q + 7. Let k be v(-5). Let c be 1/(((-3)/(-2))/3). What is m in m**4 + 2*m**c + k*m**3 + 1/5 + m + 1/5*m**5 = 0?
-1
Let g(x) be the first derivative of 4*x**4/7 - 2*x**3/7 - 3*x**2 - 20*x/7 + 59. Factor g(b).
2*(b - 2)*(b + 1)*(8*b + 5)/7
Suppose -18*h = 120 + 366. Let d be (h/(-4))/(-9) - 3/(-2). Factor -1/2*v + d - 1/4*v**2.
-(v - 1)*(v + 3)/4
Let y = 5 + -13. Let z = y - -10. Find h, given that -2*h**2 + 3*h**4 + z*h + 6*h**3 - 11*h**4 + 6*h**3 - 6*h**2 + 2*h**5 = 0.
0, 1
Let u be 12414/495 + 0 + (-8)/(-12). Let z = 336/11 - u. Factor -16/5*i**3 - 1/5 - 9/5*i - z*i**2.
-(i + 1)*(4*i + 1)**2/5
Let y = -118 + 146. Factor y + 2*t**2 + 44*t + 68 + 136 + 10.
2*(t + 11)**2
Let a(o) be the first derivative of -o**4/14 - 2*o**3/21 + 5*o**2/7 - 6*o/7 + 112. What is g in a(g) = 0?
-3, 1
Suppose 0 = -2*o + 5*r - 21, -5*o = r - 0*r - 15. What is b in -2*b**3 + 0*b + 1/2*b**4 - 1/2*b**2 + 0 + o*b**5 = 0?
-1, -1/4, 0, 1
Suppose 2*w - 29 = 12*k - 7*k, 2*k = -5*w. Determine h so that -5/4*h**w - 5/2*h - 5/4 = 0.
-1
Factor 0 - 2/5*k**3 + 6*k + 4/5*k**2.
-2*k*(k - 5)*(k + 3)/5
Suppose -6*s = -9*s + 66. Let n = s + -20. Factor 0*o**2 + 3*o**3 - 4*o**4 + o**4 + 6*o**n.
-3*o**2*(o - 2)*(o + 1)
Suppose 45*d + 189 = 44*d. Let p = d + 191. Factor -2/13*f**p + 2/13*f + 0.
-2*f*(f - 1)/13
Suppose q - 270 = -5*r, -3*r + 4*q + 96 + 43 = 0. Suppose 13*b**2 + 40*b + 3*b**3 + 5*b**2 + r*b - 66*b = 0. What is b?
-3, 0
Let k(z) be the first derivative of -z**7/126 - z**6/45 - z**5/60 - 4*z - 4. Let t(s) be the first derivative of k(s). Factor t(b).
-b**3*(b + 1)**2/3
Let d = 1