t t(m) = 0. What is m?
-4, -1/4
Let l = -5289 - -5292. Factor -2/5*a**l + 2/5*a + 0*a**2 + 0.
-2*a*(a - 1)*(a + 1)/5
Let x(h) = h**5 - h**4. Let k(u) = 8*u**5 - 18*u**4 - 128*u**3 - 424*u**2 - 592*u - 304. Let c(m) = -2*k(m) + 14*x(m). Factor c(q).
-2*(q - 19)*(q + 2)**4
Let l(a) be the third derivative of a**5/48 - a**4/48 + a**2 - 42. Factor l(r).
r*(5*r - 2)/4
Let g(q) = q**2 + q - 4. Let x be g(2). What is v in v + 10 + 0*v**2 + 4*v + 3*v**2 - 8*v**x = 0?
-1, 2
Let g(f) = 2*f**2 + 2*f - 4. Let b be g(-3). Suppose 0*i = 5*y + 2*i - 7, 2*i = -8. Factor 24*r**3 - 12*r**4 - 12*r**2 + 3*r**5 + 2*r**y + 3*r - b*r**3.
3*r*(r - 1)**4
Let u(c) be the second derivative of -c**7/252 + c**6/120 + c**5/30 + 13*c**4/12 - 19*c. Let g(y) be the third derivative of u(y). Factor g(f).
-2*(f - 1)*(5*f + 2)
Let p(q) = 6*q**2 - 13*q + 21. Suppose -12*b + 7*b = 20. Let g(s) = 5*s**2 - 12*s + 20. Let x(r) = b*p(r) + 5*g(r). Factor x(v).
(v - 4)**2
Let y(s) be the first derivative of s**3/9 + 71*s**2/6 + 46*s + 299. Factor y(k).
(k + 2)*(k + 69)/3
Let y be -14 + (-4824)/(-342) - 300/(-38). Factor 4/3 - 16/3*o - 16/3*o**3 + 4/3*o**4 + y*o**2.
4*(o - 1)**4/3
Let k = -3781/88 + 474/11. Let w(u) be the second derivative of k*u**4 + 0 + 3/4*u**2 + 1/2*u**3 - u. Suppose w(n) = 0. What is n?
-1
Let b(h) be the third derivative of -h**6/120 - h**5/12 - h**4/4 - 2*h**3/3 - 2*h**2. Let o be b(-4). Factor 3*t**4 + 2*t**4 + 2*t**3 - 3*t**o.
2*t**3*(t + 1)
Let l = -57034/3 + 19012. Determine p so that l*p**2 + 10/3*p + 8/3 = 0.
-4, -1
Find m, given that m + 4*m**4 + 35*m**2 + 0*m - 16*m**2 - 22*m**2 = 0.
-1, 0, 1/2
Let x = -173/6 - -88/3. Let q(l) = -l**3 - 6*l**2 + 7*l + 4. Let b be q(-7). Let -w**2 + b + x*w**3 - 2*w = 0. Calculate w.
-2, 2
Let y(c) be the second derivative of c**6/6 + c**5/4 - 15*c**4/4 + 55*c**3/6 - 10*c**2 - 54*c + 2. Factor y(f).
5*(f - 1)**3*(f + 4)
Let k(g) be the second derivative of 0*g**5 + 1/135*g**6 + 0 - 1/54*g**4 + 0*g**3 + 4*g + 0*g**2. Factor k(l).
2*l**2*(l - 1)*(l + 1)/9
Let l(h) = 5*h**3 + 75*h**2 - 80*h - 6. Let t(m) = 1. Let o(a) = -l(a) - 6*t(a). Factor o(k).
-5*k*(k - 1)*(k + 16)
Let c(h) = h**2 + 25*h + 48. Let y be c(-2). Let i = 109 + -541/5. Factor -y*u**2 + i + 6/5*u.
-2*(u - 1)*(5*u + 2)/5
Let c be (1 - -1)/(6/24). Find a, given that a**4 - 27*a**2 + 12*a + 4 + c*a**4 - 3*a**3 + 5*a**3 = 0.
-2, -2/9, 1
Let n = 1619 + -1619. Let u(x) be the third derivative of 0*x**3 + 0 - 5/32*x**4 + 1/12*x**5 + 13*x**2 + n*x. Let u(s) = 0. Calculate s.
0, 3/4
Let t(g) = 56 + 35*g - 73*g + 32*g. Let n be t(9). Factor 4/3 + n*w**2 + 2/3*w**3 - 2/3*w**4 - 10/3*w.
-2*(w - 1)**3*(w + 2)/3
Let g(q) be the third derivative of -q**6/720 - q**5/60 - 5*q**4/144 - 4*q**2 - 12. Factor g(i).
-i*(i + 1)*(i + 5)/6
Let a = 4 + 0. Find d, given that 0*d**2 + a*d**2 - 3*d**2 - 4*d**2 - 6 + 9*d = 0.
1, 2
Let t be (-10)/(-4) - 27/18. Solve 3342*l**2 + 60*l**4 + t + 3 + 100*l**3 + 30*l + 14*l**5 - 3262*l**2 = 0 for l.
-1, -2/7
Let g(c) be the first derivative of 2*c**5/5 - 3*c**4 + 8*c**3/3 + 6*c**2 - 10*c - 24. Solve g(n) = 0.
-1, 1, 5
Let l(b) = -6*b**2 - 41*b + 10. Let c be (2/(-2))/(2 + 52/(-28)). Let t be l(c). Find q such that 28/15*q**2 + 2/5*q + 14/15*q**t - 8/15*q**4 + 0 = 0.
-1, -1/4, 0, 3
Let u(k) be the first derivative of -k**5/25 - 21*k**4/10 - 88*k**3/3 + 21*k**2/5 + 441*k/5 + 50. Factor u(g).
-(g - 1)*(g + 1)*(g + 21)**2/5
Let d be 6/(-3) + -4 + 7. Let j be (14 - 12) + d/(-4). Factor -7/4*q + 1/2*q**2 + j*q**3 - 1/2.
(q - 1)*(q + 1)*(7*q + 2)/4
Let j(w) be the second derivative of w**6/90 - 22*w**5/15 + 43*w**4/6 - 128*w**3/9 + 85*w**2/6 - 868*w. Let j(x) = 0. Calculate x.
1, 85
Let b(h) be the first derivative of h**8/1008 - h**7/315 + h**5/90 - h**4/72 - h**2/2 - 11. Let l(p) be the second derivative of b(p). Factor l(v).
v*(v - 1)**3*(v + 1)/3
Determine g, given that -18*g**3 - 5 + 5*g**2 + 5*g - 22*g**3 + 35*g**3 = 0.
-1, 1
Let b(w) = 15*w**5 - w**4 + w**3 - 4*w**2 - 11*w. Let a(l) = 2*l**2 - 8*l**5 + 13*l - 17*l + 10*l. Let h(u) = 11*a(u) + 6*b(u). Factor h(g).
2*g**2*(g - 1)**3
Let x(z) be the third derivative of -z**6/40 - 63*z**5/20 - 120*z**4 + 512*z**3 + 336*z**2. Factor x(v).
-3*(v - 1)*(v + 32)**2
Factor 5/3*q**3 - 735 - 215/3*q**2 + 805*q.
5*(q - 21)**2*(q - 1)/3
Let v(y) be the third derivative of y**5/12 - 25*y**4/24 - 5*y**3 - y**2 + 11. Factor v(i).
5*(i - 6)*(i + 1)
Let y(f) be the third derivative of -f**6/180 + 8*f**5/9 - 400*f**4/9 - 225*f**2 - 2. Factor y(k).
-2*k*(k - 40)**2/3
Let u(j) be the second derivative of -2*j + 1/40*j**5 + 1/12*j**3 + 0 + 0*j**2 - 1/12*j**4. Factor u(b).
b*(b - 1)**2/2
Let r(h) = h**2 + 81*h + 1182. Let x be r(-19). Factor -4/7*d + 10/7*d**2 + 2/7*d**x - 8/7*d**3 + 0.
2*d*(d - 2)*(d - 1)**2/7
Let q be 3 + -1 - (-1 - -1). Let n be -2*(30/(-140) + 0). Factor 0 - 3/7*b**q + n*b.
-3*b*(b - 1)/7
Suppose -4*l + 4 = -0*l. Suppose -3*g - l = u, 0*u + 4*u = 3*g + 11. Find o such that 2 - 4 + 0*o**u + o**2 - 2 = 0.
-2, 2
Let d(c) be the third derivative of -2/105*c**7 - 1/6*c**6 - 13*c**2 + 0 + 0*c**3 - 8/15*c**5 - 2/3*c**4 + 0*c. Solve d(l) = 0.
-2, -1, 0
Let p = 21 - 18. Suppose -2*r = p*k + 2*r - 13, 4*r - 2 = -2*k. Suppose 4 + k*c - 17*c + 3*c**2 - 1 = 0. Calculate c.
1
Let f be (-20)/10 - (-828)/15. Solve -20*j**5 - f*j**3 + 4*j**2 - 66*j**4 + 72/5*j + 16/5 = 0.
-2, -1, -2/5, 1/2
Suppose 0 = -2*v + 1 + 3. Factor -2*m**2 + v*m - 2*m**2 + 4*m**2 + m**2 - 3.
(m - 1)*(m + 3)
Let r = 1754 + -1750. Let h(y) be the second derivative of 3*y + 1/6*y**r + 0 + 1/3*y**3 + 0*y**2. Factor h(b).
2*b*(b + 1)
Suppose -2*i - 3*i = 5*m - 35, -3*m = -3*i + 21. Suppose i*z - 10*z + 6 = 0. Factor -1/2*u**4 - 3/2*u**z + 1/2*u + 3/2*u**3 + 0.
-u*(u - 1)**3/2
Let x(j) be the second derivative of -3*j**7/35 + 7*j**6/75 - j**5/200 - j**4/60 + 47*j + 1. Find b such that x(b) = 0.
-2/9, 0, 1/2
Factor -9*z**3 + 15*z + 11*z + 60*z**3 - 26*z + 30*z**2 + 3*z**5 + 24*z**4.
3*z**2*(z + 1)*(z + 2)*(z + 5)
Let h = 962/4775 + -7/4775. Suppose -h + 1/5*n**2 + 0*n = 0. What is n?
-1, 1
Let l(v) be the third derivative of -v**2 + 4/45*v**5 + 2/315*v**7 + 0*v + 0*v**3 + 0*v**4 + 2/45*v**6 + 0. Factor l(f).
4*f**2*(f + 2)**2/3
Let l = 0 - -2. Let k be ((-49)/(-63))/((-17)/(-153)). Factor 5 - k*n + 3 + 0*n**2 + 2*n**l - n.
2*(n - 2)**2
Let r(k) = -4*k**2 + 12*k + 20. Let q be r(-2). Let w be (11 + -2)*q/(-90). Factor 64/5*h**w + 44/5*h**4 - 2*h**5 + 4/5 - 76/5*h**3 - 26/5*h.
-2*(h - 1)**4*(5*h - 2)/5
Suppose 56*f - 9*f - 235 = 0. Let j(a) be the second derivative of 0*a**2 + 1/20*a**f + 0*a**3 + 0 + 1/6*a**4 - 4*a - 1/30*a**6. Factor j(n).
-n**2*(n - 2)*(n + 1)
Let v(f) be the first derivative of f**4/4 + 38*f**3/3 + 198*f**2 + 648*f + 584. Factor v(u).
(u + 2)*(u + 18)**2
Let n(a) be the second derivative of a**5/20 - 13*a**4/12 - 7*a**3/3 + a + 65. What is w in n(w) = 0?
-1, 0, 14
Let o(q) be the first derivative of q**4/8 + 3*q**3/2 - 21*q**2/4 + 11*q/2 + 46. Factor o(n).
(n - 1)**2*(n + 11)/2
Let y(d) be the second derivative of -d**5/90 - 2*d**4/9 - 5*d**3/3 - 6*d**2 + 2*d - 96. Factor y(m).
-2*(m + 3)**2*(m + 6)/9
Let y(g) be the second derivative of 5*g**9/432 - g**8/28 + g**7/56 + g**6/36 + g**3/2 + 2*g. Let j(n) be the second derivative of y(n). Solve j(o) = 0 for o.
-2/7, 0, 1
Find a, given that 4/9*a**2 + 0 - 4/9*a**4 + 28/9*a**3 - 4/9*a**5 - 8/3*a = 0.
-3, -1, 0, 1, 2
Factor 2/3*p**3 - 2/21*p**4 + 0 + 16/21*p**2 + 0*p.
-2*p**2*(p - 8)*(p + 1)/21
Let h(b) be the third derivative of 169*b**6/120 + 13*b**5/45 + b**4/54 - 120*b**2. Factor h(d).
d*(39*d + 2)**2/9
Let g(j) = 4*j**2 + j + 1. Let k(i) = 28*i**2 + 979*i + 14887. Let t(z) = -3*g(z) + k(z). Determine w so that t(w) = 0.
-61/2
Factor 1296/7 - 144/7*p + 4/7*p**2.
4*(p - 18)**2/7
Let n(d) be the first derivative of 2*d**6/3 + 24*d**5/5 + 12*d**4 + 40*d**3/3 + 6*d**2 + 184. Suppose n(c) = 0. Calculate c.
-3, -1, 0
Solve -3*i**2 + 19 + 59 - 13*i + 17*i + 29*i = 0.
-2, 13
Let d(g) = 4*g**3 - 424*g**2 + 420. Let z(b) = 8*b**3 - 848*b**2 + 2*b + 838. Let p(w) = -5*d(w) + 2*z(w). Solve p(h) = 0 for h.
-1, 1, 106
Suppose -9*l = -12*l. Suppose 10 + 2 = -4*b, 5*p + 3*b - 16 = l. Determine g so that 2*g - 6*g + 3*g**3 + 6 - p*g = 0.
-2, 1
Let u(c) be the first derivative of 4*c**5/5 - 10*c*