6 - 11*n. Let w(l) be the third derivative of b(l). Factor w(i).
-(i - 1)*(i + 1)**2
Let v(y) be the first derivative of -4*y**5/55 + y**4/22 + 2*y**3/33 - 118. Factor v(b).
-2*b**2*(b - 1)*(2*b + 1)/11
Factor -2/5*a - 69/5*a**2 + 0.
-a*(69*a + 2)/5
Let m(b) = -4*b**4 + b**3 + 7*b**2 - b + 4. Suppose 4*k - 6 = k. Let a(z) = -z**2 - 3*z**2 + 0*z**4 + k*z**4 + 0 - 2. Let h(v) = -7*a(v) - 4*m(v). Factor h(p).
2*(p - 1)**3*(p + 1)
Let d(p) = -27*p + 32. Let k be d(1). Let m(s) be the second derivative of 0*s**2 - 1/12*s**3 - 3*s + 1/40*s**k + 1/60*s**6 - 1/24*s**4 + 0. Factor m(z).
z*(z - 1)*(z + 1)**2/2
Let s = 35/64 - -3979/448. Factor 2/7*n**5 - 18/7 + s*n - 18/7*n**4 + 60/7*n**3 - 92/7*n**2.
2*(n - 3)**2*(n - 1)**3/7
Let -3 - 1/3*q**2 + 10/3*q = 0. Calculate q.
1, 9
Let y(h) be the first derivative of -h**4/24 - 2*h**3/3 - 11*h**2/12 + 37. Determine q, given that y(q) = 0.
-11, -1, 0
Let n(a) be the second derivative of -a**6/60 - 7*a**5/40 - 3*a**4/8 + 7*a**3/12 + 5*a**2/2 - 7*a. Let n(g) = 0. Calculate g.
-5, -2, -1, 1
Let h(c) be the second derivative of -c**5/4 + 155*c**4/4 - 4805*c**3/2 + 148955*c**2/2 + 38*c + 1. Factor h(i).
-5*(i - 31)**3
Let l(x) be the third derivative of -x**6/24 + 37*x**5/12 - 355*x**4/24 + 175*x**3/6 + 46*x**2. Factor l(i).
-5*(i - 35)*(i - 1)**2
Factor -32*x - 15*x - 56*x**2 - 40*x - 174*x**3 + 178*x**3 + 27*x.
4*x*(x - 15)*(x + 1)
Find k such that -21*k**4 + 151/3*k**3 - 52/3*k**2 + 0 + 4/3*k = 0.
0, 1/9, 2/7, 2
Factor -30/7 + 4/7*j + 2/7*j**2.
2*(j - 3)*(j + 5)/7
Let m(y) be the third derivative of -y**8/84 + 2*y**7/15 + 114*y**2. Factor m(j).
-4*j**4*(j - 7)
Factor 0*n**4 - 14418 + 19*n**2 - 2*n**3 + 20*n + 14418 - n**4.
-n*(n - 4)*(n + 1)*(n + 5)
Let g be -62 + 53 - (2 + -13). Factor 4/7*v**4 + 0*v**g - 4/7 - 8/7*v**3 + 8/7*v.
4*(v - 1)**3*(v + 1)/7
Let l = -46 - -48. Let x be (l + 4/(-3))/((-29)/(-87)). Factor -1/5*d + 0 + 1/5*d**x.
d*(d - 1)/5
Let z be 12/48*-2*-6. Find u, given that -1/2*u**z + 1/2*u + 0 + 0*u**2 = 0.
-1, 0, 1
Factor -3 + 13*w + 18*w**3 + w**5 - 32*w**2 - 21*w**2 - 7*w**4 + 1 - 1 + 31*w**2.
(w - 3)*(w - 1)**4
Let s = 0 - -2. Let x(i) be the first derivative of 5/4*i**4 - 2 + 20*i + 20*i**s + 25/3*i**3. Determine u so that x(u) = 0.
-2, -1
Let c(m) be the first derivative of m**6/720 - m**5/240 - m**4/24 + 22*m**3/3 + 4. Let y(a) be the third derivative of c(a). Let y(x) = 0. Calculate x.
-1, 2
Let o = 427/9 + -424/9. Factor w + 2/3 + o*w**2.
(w + 1)*(w + 2)/3
Let t(s) be the first derivative of -1/14*s**4 - 26 + 3/7*s**2 + 0*s**3 + 4/7*s. Let t(o) = 0. What is o?
-1, 2
Let r(g) be the second derivative of -3*g**5/140 - g**4/4 - g**3/2 + 45*g**2/14 - 30*g. Factor r(b).
-3*(b - 1)*(b + 3)*(b + 5)/7
Suppose 4*h - 3*r - 27 = -4*r, 4*r - 24 = -4*h. Factor 9*y**3 + 3*y**5 - 9*y**2 + h*y**2 + 10*y**4 + 4*y**2.
y**2*(y + 1)*(y + 2)*(3*y + 1)
Let d = -3777 - -11333/3. What is h in -22/3*h + 51/2*h**2 - 27*h**3 + d = 0?
2/9, 1/2
What is q in -9/4 - q**2 - 1/8*q**3 - 21/8*q = 0?
-3, -2
Let i = -213 - -198. Let h be -1 - (3/12)/(i/220). Suppose -16/3 + h*m - 1/3*m**2 = 0. What is m?
4
Let m(d) be the first derivative of -1/12*d**3 + 0*d + 1/20*d**5 + 1/8*d**4 - 1/4*d**2 - 23. Factor m(j).
j*(j - 1)*(j + 1)*(j + 2)/4
Factor -2/7*x**3 + 24/7 - 10/7*x**2 + 16/7*x.
-2*(x - 2)*(x + 1)*(x + 6)/7
Let h be 3/18*4 + 8/6. Factor 8 - 14*u - 3*u**h + 13*u**2 - 7*u**2.
(u - 4)*(3*u - 2)
Let x = 22336/16761 - -4/5587. Factor 8/3*k**2 - 10/3*k**3 - 2/3*k + 0 + x*k**4.
2*k*(k - 1)**2*(2*k - 1)/3
Let u(x) be the first derivative of 0*x**2 - 2/3*x**3 + 0*x**4 + 0*x + 16 + 2/5*x**5. Let u(g) = 0. What is g?
-1, 0, 1
Let c be 8/(-5)*15*(-6)/324. Let c*l + 0 + 2/9*l**2 = 0. What is l?
-2, 0
Suppose -3*f + 7 = -4*l + 1, 2*l + 4 = 2*f. Let x be -3 - (34/(-26) + -2). Find c such that l*c - 2/13*c**4 + x*c**2 + 0 - 2/13*c**3 = 0.
-2, 0, 1
Let n(p) be the second derivative of -5*p + 0*p**3 + 0*p**2 - 1/25*p**6 + 0 + 1/30*p**4 - 1/25*p**5. Suppose n(i) = 0. Calculate i.
-1, 0, 1/3
Let a(l) be the second derivative of 56*l**6/15 + 207*l**5/5 - 146*l**4/3 - 54*l**3 - 16*l**2 - 35*l + 1. Find m such that a(m) = 0.
-8, -1/4, -1/7, 1
Let b(d) = d**3 - 4*d**2. Let s be b(4). Suppose 3*o - 9 = 2*g - s, -2*o = -2*g - 6. Find k such that k**5 + 6*k**2 + 5*k**5 + 3*k**o + 9*k**5 - 24*k**4 = 0.
-2/5, 0, 1
Factor -34*w + 10 - 5*w**2 + 15 + 32*w - 18*w.
-5*(w - 1)*(w + 5)
Let a(x) be the second derivative of x**7/126 - 7*x**6/90 + x**5/6 - 8*x - 4. Suppose a(t) = 0. Calculate t.
0, 2, 5
Let 729/2 + 1/2*r**2 + 27*r = 0. Calculate r.
-27
Let v(l) be the first derivative of -l**5/25 - l**4/10 + l**3/5 + 4*l**2/5 + 4*l/5 + 232. Factor v(g).
-(g - 2)*(g + 1)**2*(g + 2)/5
Let t(v) be the second derivative of -v**6/144 - v**5/30 + v**4/12 + v**3/6 + v. Let w(q) be the second derivative of t(q). Find j, given that w(j) = 0.
-2, 2/5
Let r(j) be the first derivative of -j**7/84 - j**6/60 + j**5/40 + j**4/24 + 4*j + 4. Let i(x) be the first derivative of r(x). Factor i(g).
-g**2*(g - 1)*(g + 1)**2/2
Let g = -574 - -34441/60. Let z(a) be the third derivative of 0 - 1/189*a**7 - a**2 + 0*a**3 - g*a**6 + 0*a - 1/1512*a**8 - 7/270*a**5 - 1/54*a**4. Factor z(d).
-2*d*(d + 1)**3*(d + 2)/9
Solve -64/5*o + 0 + 42/5*o**5 + 48*o**2 + 456/5*o**3 + 244/5*o**4 = 0.
-2, 0, 4/21
Let j be (0 - -3) + (24 - 8). Solve -4*y**2 + 6*y**3 - y**3 + 5*y + 5*y**4 + 10*y**3 + j*y**2 = 0.
-1, 0
Let y(j) be the second derivative of j**5/40 - 13*j**4/24 - j**3/12 + 13*j**2/4 - 7*j + 36. What is d in y(d) = 0?
-1, 1, 13
Let 62*x**2 - 21 - 12 + 108*x**3 - 12*x**5 - 3*x**4 - 3 - 156*x - 83*x**2 = 0. Calculate x.
-3, -1, -1/4, 2
Suppose -5 = -5*v - r, 6*v - 3 = 2*v - r. Let 124*t**3 + 540*t**v + 84*t**3 + 405*t + 5*t**5 + 60*t**4 + 62*t**3 = 0. Calculate t.
-3, 0
Find m such that 42/5 - 23/5*m + 1/5*m**2 = 0.
2, 21
Let o(a) = -a**3 + 2*a**2 - a - 1. Let w(u) = u**5 - 6*u**4 + 3*u**3 + 20*u**2 + 18*u + 2. Let g(n) = 2*o(n) + w(n). Factor g(m).
m*(m - 4)**2*(m + 1)**2
Let j(n) = 5*n**3 - 54*n**2 - 47*n + 4. Let h(p) = 13*p**3 - 162*p**2 - 142*p + 11. Let q(a) = 4*h(a) - 11*j(a). Suppose q(k) = 0. Calculate k.
-17, -1, 0
Find k such that 0 - 12/5*k + 4/5*k**2 = 0.
0, 3
Let p(d) be the third derivative of 1/15*d**4 - 3/350*d**7 + 0*d**3 + 1/20*d**6 + 0*d - 4*d**2 - 7/75*d**5 + 0. Factor p(x).
-x*(x - 2)*(3*x - 2)**2/5
Let n(d) be the third derivative of -d**7/1890 - 7*d**6/1080 + d**5/108 + 25*d**4/72 + 12*d**2 + 9*d. Suppose n(k) = 0. What is k?
-5, 0, 3
Let x = 12251 + -85584/7. Let s = x + -170/7. Solve -1/7*h + 1/7*h**3 + 3/7 - s*h**2 = 0.
-1, 1, 3
Let q = -99/7 + 205/14. Let r(g) be the second derivative of 1/14*g**7 - 3/10*g**5 - 7*g - 3/2*g**2 + q*g**3 + 0 - 1/10*g**6 + 1/2*g**4. Factor r(c).
3*(c - 1)**3*(c + 1)**2
Suppose a - 20 = 7. Factor -10*n + 15*n**2 - a*n**3 + 9*n**3 + 13*n**3.
-5*n*(n - 2)*(n - 1)
Let y be (-10)/45 - 654/(-27). Suppose 3*i = -3*i + y. Let 21*m**3 - 3*m + 8*m**4 - 5*m**2 + i*m**4 + 5*m**2 + 6*m**2 = 0. What is m?
-1, 0, 1/4
Let y(u) be the third derivative of u**6/540 - u**5/45 - u**4/27 + 8*u**3/9 - 25*u**2 - u. Determine t, given that y(t) = 0.
-2, 2, 6
Let g(n) be the first derivative of -n**5/30 + 17*n**4/24 - 29*n**3/6 + 95*n**2/12 + 100*n/3 + 181. Factor g(r).
-(r - 8)*(r - 5)**2*(r + 1)/6
Let x(m) be the third derivative of 2*m**7/315 - m**6/20 + 7*m**5/45 - m**4/4 + 2*m**3/9 - 122*m**2. Solve x(c) = 0.
1/2, 1, 2
Let m(k) be the second derivative of 1/4*k**4 + 17*k + 0 + 7*k**3 + 147/2*k**2. Factor m(d).
3*(d + 7)**2
Let n(a) be the third derivative of a**6/80 - 11*a**5/40 + 13*a**4/8 - 4*a**3 - 67*a**2 - 2*a. Let n(z) = 0. What is z?
1, 2, 8
Let t be (-6)/9 + 710/975. Let q(a) be the first derivative of -4/13*a**3 - 7/13*a**2 + 1 + t*a**5 - 4/13*a + 1/26*a**4. Solve q(g) = 0 for g.
-1, -1/2, 2
Let t(u) = 20*u**2 + 180*u - 251. Let l(g) = -7*g**2 - 60*g + 85. Let z(j) = -17*l(j) - 6*t(j). Factor z(h).
-(h - 1)*(h + 61)
Let c be ((-1)/(-2))/(12/48). Factor -1 + 0*q**c + 7 - 2 - q**2.
-(q - 2)*(q + 2)
Suppose -12*w = 15*w + 9*w. Let o(u) be the third derivative of 0*u + w*u**3 - 3*u**2 + 1/70*u**7 + 0*u**4 + 1/20*u**5 - 1/20*u**6 + 0. Solve o(c) = 0.
0, 1
Let o(i) be the first derivative of 9*i**4/10 - 26*i**3/15 + 4*i**2/5 + 46. Solve o(n) = 0.
