ve of -n**3/9 + 17*n**2/6 + 6*n - 277. Suppose r(k) = 0. Calculate k.
-1, 18
Solve -4 - 2/3*n**2 + 10/3*n = 0.
2, 3
Let n = 357 - 353. Let l(o) be the third derivative of -n*o**2 - 1/60*o**5 - 1/24*o**4 + 1/3*o**3 + 0*o + 0. Factor l(b).
-(b - 1)*(b + 2)
Let w(c) be the first derivative of -c**4/16 - 53*c**3/24 - 13*c**2/8 - 270. Factor w(h).
-h*(h + 26)*(2*h + 1)/8
Let p(c) be the second derivative of c**5/20 + c**2/2 + c. Let h(l) = -9*l**2 + 9. Let y be 2 + (3 - 4)*1. Let n(m) = y*h(m) + 3*p(m). Factor n(s).
3*(s - 2)**2*(s + 1)
Suppose -121210 + 6*a + 2*a + a**2 + 121145 = 0. What is a?
-13, 5
Factor 160/7*b**2 + 18*b - 128/7*b**3 - 162/7.
-2*(b + 1)*(8*b - 9)**2/7
Let p = -2033 - -8141/4. Factor 3/4*b**2 - p - 3/2*b.
3*(b - 3)*(b + 1)/4
Factor 3/2*k**2 - 132*k - 267/2.
3*(k - 89)*(k + 1)/2
Let p be (111/(-148))/(2*2/32) - -10. Factor -6/11*v**3 - 2/11*v**p + 0 - 6/11*v**2 - 2/11*v.
-2*v*(v + 1)**3/11
Let v = 216711/5 - 43341. Let 0*u + 2/5*u**2 - 2/5*u**5 + v*u**4 + 0 - 6/5*u**3 = 0. Calculate u.
0, 1
Find i, given that -2*i - 39*i**2 + 54 + 16*i**3 + 11*i - 3*i**4 - 37*i**3 = 0.
-3, -2, 1
Let n(w) be the third derivative of -w**6/240 - 7*w**5/30 - 77*w**4/48 - 25*w**3/6 + 4*w**2 + 9*w. Factor n(t).
-(t + 1)*(t + 2)*(t + 25)/2
Let u(a) = -19*a**2. Let t be u(-2). Let s be t/(-28) - (-6)/21. Solve 3*r**3 - 3*r**s - 2*r**3 - r**3 = 0 for r.
0
What is v in 108/5*v**2 + 0 + 2/5*v**4 - 42/5*v**3 + 0*v = 0?
0, 3, 18
Factor -4/3 - 5/3*l - 1/3*l**2.
-(l + 1)*(l + 4)/3
Suppose -5*o = 3*z - 5, -18*z + o - 1 = -13*z. Let g(r) be the second derivative of 0*r**3 - 1/10*r**6 - 2*r + 0*r**4 + 0*r**2 + z + 0*r**5. Factor g(a).
-3*a**4
Let v be (-1 + 0)/(7/(-21)). Factor -1 + u**2 - 9*u + 7*u + u + 4*u**3 - v*u**3.
(u - 1)*(u + 1)**2
Let f(v) be the second derivative of v**6/70 - 45*v**5/28 + 72*v**4/7 - 142*v**3/7 - 197*v. Factor f(h).
3*h*(h - 71)*(h - 2)**2/7
Let m(k) be the first derivative of 3/4*k**4 + 48*k + 9*k**3 + 36*k**2 - 22. Factor m(s).
3*(s + 1)*(s + 4)**2
Find g such that -40*g**3 - 16*g + 91*g**3 - 24*g**3 - 8 - 6*g**2 - 23*g**3 + 2*g**4 = 0.
-2, -1, 2
Suppose k = -2 + 52. Factor 5*j**4 + 66 + 17 - 3 - 200*j + 165*j**2 - k*j**3.
5*(j - 4)**2*(j - 1)**2
Determine z, given that 0 + 0*z + 1/3*z**3 - 12*z**2 = 0.
0, 36
Let v(p) = 172*p**3 - 270*p**2 + 117*p - 19. Let l(c) = -173*c**3 + 269*c**2 - 116*c + 20. Let q(m) = 3*l(m) + 4*v(m). Determine x, given that q(x) = 0.
4/13, 1
Let d(v) be the third derivative of -v**9/40320 - v**8/1680 - v**7/160 - 3*v**6/80 - v**5/12 - 15*v**2. Let o(c) be the third derivative of d(c). Factor o(b).
-3*(b + 2)*(b + 3)**2/2
Let l(b) = -5*b**3 + 11*b**2 + 40*b + 17. Let o(c) = -4*c**3 + 12*c**2 + 40*c + 18. Let q(z) = -6*l(z) + 7*o(z). Factor q(k).
2*(k + 1)*(k + 2)*(k + 6)
What is w in 39*w**3 - 40*w**3 + 3*w**2 - 9*w + 9*w - 4 = 0?
-1, 2
Suppose 10/3*l**5 + 46/3*l**4 + 10/3*l**3 + 16/3 - 20/3*l - 62/3*l**2 = 0. Calculate l.
-4, -1, 2/5, 1
Let z = -1 - 24. Let f be (-8)/45 + ((-85)/z - 3). Let f*o + 2/9 - 4/9*o**2 = 0. Calculate o.
-1/2, 1
Let h(z) = -z**3 + 5*z**2 - 11. Let i be h(4). Factor -5*w - w - i*w**2 - 4*w + w**3 + 4*w**3.
5*w*(w - 2)*(w + 1)
Let l = 0 - -5. Factor -106*d**4 + 4*d + 106*d**4 + 4*d**l - 8*d**3.
4*d*(d - 1)**2*(d + 1)**2
Find i, given that -20 - 148/3*i**2 + 302/3*i + 6*i**3 = 0.
2/9, 3, 5
Factor m**3 + 64*m**2 - 8*m**3 - 41*m + 107*m + 5*m**3.
-2*m*(m - 33)*(m + 1)
Let n be 2/10 + (7752/840 - (-45)/(-5)). Factor 2/7*z**3 - n*z**2 - 4/7 - 8/7*z + 1/7*z**4.
(z - 2)*(z + 1)**2*(z + 2)/7
Let p = 16 + 0. Suppose 3*j + f - 1 = 0, -2*j - 4*f + 0*f = p. Factor -2*x**2 - 2 - 10 + 3*x**2 + 2*x**j.
3*(x - 2)*(x + 2)
Let n be ((-4)/20)/((-8)/190). Let a = n - 53/12. Factor 3*q**2 + 2*q + a.
(3*q + 1)**2/3
Factor -2 + 3 - 204*g - 3 + 0 + 3468*g**2 + 5.
3*(34*g - 1)**2
Let l = -128 + 191. Let 4*n**2 + n**2 - 68*n**3 + l*n**3 = 0. What is n?
0, 1
Let h(d) be the second derivative of 0*d**2 + 1/12*d**4 - 1/3*d**3 + 2*d + 0. Factor h(z).
z*(z - 2)
Let y(b) be the second derivative of -8/3*b**2 - 1/30*b**5 + 0 + 4/9*b**3 - 8*b + 1/9*b**4. Factor y(c).
-2*(c - 2)**2*(c + 2)/3
Let o(l) be the first derivative of -1/12*l**4 + 0*l**3 + 0*l**2 + 4*l - 2. Let b(i) be the first derivative of o(i). Determine r so that b(r) = 0.
0
Let f(o) be the first derivative of -3*o**4/16 + 45*o**3/2 - 2025*o**2/2 + 20250*o + 70. Factor f(s).
-3*(s - 30)**3/4
Let g(q) = -7*q**2 - 34*q + 80. Let o(f) = -19*f**2 - 103*f + 240. Let n(w) = 17*g(w) - 6*o(w). Factor n(j).
-5*(j - 4)**2
Let t(r) be the third derivative of 0*r**3 + 0*r**5 + 7*r**2 + 0*r**4 + 1/630*r**7 + 0 + 0*r + 1/180*r**6. Factor t(w).
w**3*(w + 2)/3
Let o(z) = 11 + 1 + 0*z - 5*z + 0. Let i be o(2). Suppose -8/9*c + 8/9 + 2/9*c**i = 0. Calculate c.
2
Suppose 56*x - 25*x - 158 = -48*x. Factor 12/5 + 4/5*v - 1/5*v**x.
-(v - 6)*(v + 2)/5
Let h = 135 - 131. Let r be 14/(-35) - (3 - h). Solve 6/5*b**2 - 3*b + 6/5 + 12/5*b**3 - 12/5*b**4 + r*b**5 = 0 for b.
-1, 1, 2
Factor -300*y**3 - 5*y**5 + 2154041*y + 90*y**4 + 280*y**2 - 2154041*y.
-5*y**2*(y - 14)*(y - 2)**2
Let x(r) = r**3 - 8*r**2 - 8*r + 5. Let a be x(9). Suppose 0*n + n - 2*q = 12, 0 = -3*n - 4*q - a. Determine m, given that -2 - 5*m - m + 11 + m**n = 0.
3
What is u in -4/3*u**3 + 136/3*u**2 - 336*u - 864 = 0?
-2, 18
Let u be (-6)/(-4) - 6/4. Let r(p) be the third derivative of 0*p + 0*p**5 + 2/33*p**3 - 1/660*p**6 + 1/44*p**4 + u - 3*p**2. Solve r(h) = 0.
-1, 2
Let f be -7 - (88/(-12) + 7/21). Factor 2/3*r + f - 2/9*r**2.
-2*r*(r - 3)/9
Let s(m) = 4*m - 36. Let o be s(10). Let n(v) be the second derivative of 1/9*v**o + 8/9*v**3 + v + 8/3*v**2 + 0. What is h in n(h) = 0?
-2
Let a(n) be the third derivative of 0 + 0*n**3 + 1/840*n**6 + 3/56*n**4 + 1/70*n**5 + 21*n**2 + 0*n. Let a(p) = 0. Calculate p.
-3, 0
Let l(a) be the first derivative of -a**5/30 + 43*a**4/12 - 1933*a**3/18 + 301*a**2 - 294*a + 200. Factor l(p).
-(p - 42)**2*(p - 1)**2/6
Let t(p) be the third derivative of p**9/12096 - p**8/3360 + p**7/3360 + 13*p**3/3 - 11*p**2. Let s(v) be the first derivative of t(v). Factor s(l).
l**3*(l - 1)**2/4
Let w(f) = -6*f**2 - 59*f - 29. Let t(m) = -11*m**2 - 119*m - 59. Let d(q) = 4*t(q) - 9*w(q). Factor d(x).
5*(x + 5)*(2*x + 1)
Let b be ((-4)/42)/(93/(-217)). Determine n so that 0*n**2 + 0 + b*n - 2/9*n**3 = 0.
-1, 0, 1
Let s be ((-4)/9)/(14/(-63)). Let d(w) be the first derivative of -21*w**4 - 16*w**5 + 0*w + 80/3*w**3 - 8*w**s + 50/3*w**6 - 6. Let d(m) = 0. What is m?
-1, 0, 2/5, 1
Let q(u) be the third derivative of u**6/360 + 5*u**5/12 - 19*u**4/18 - 592*u**2. Determine y so that q(y) = 0.
-76, 0, 1
Let d be 26/12 - (-1)/2. Let v be 2/17 + (-112)/(-204). Factor -2*g**5 + 0*g - v*g**3 + 0 + 0*g**2 - d*g**4.
-2*g**3*(g + 1)*(3*g + 1)/3
Let w be (27/12)/(((-3)/(-2))/(-40 + 41)). Factor w*i**2 - 3*i + 0 + 3/2*i**3.
3*i*(i - 1)*(i + 2)/2
Let r(t) be the third derivative of -59/120*t**6 + 0 + 0*t - 17/6*t**5 - 17/6*t**4 - 4/3*t**3 + 2*t**2 + 25/84*t**8 + 41/42*t**7. Solve r(f) = 0.
-2, -2/5, -1/4, 1
Let p(c) be the second derivative of 1/10*c**5 + 1/126*c**7 + 0*c**2 - 1/9*c**4 - 2/45*c**6 + 1/18*c**3 + 0 - 7*c. Factor p(r).
r*(r - 1)**4/3
Let m(c) = -4*c + 4. Let l be m(-6). Let r = l + -25. Let 46*x**2 + 1875 - 1724*x + 224*x - 60*x**3 + 99*x**2 + 305*x**2 + r*x**4 = 0. What is x?
5
Let z be (0 + 6/8)/((-6)/794). Let u = 100 + z. Determine r so that -1/2 + u*r - 1/4*r**2 = 0.
1, 2
Suppose -85*y - 78 = -91*y. Let j(z) be the first derivative of -1/2*z**4 - y - 2/25*z**5 - 6/5*z**3 - 4/5*z - 7/5*z**2. Factor j(r).
-2*(r + 1)**3*(r + 2)/5
Let d(o) be the first derivative of -9*o**2 - 1/3*o**6 - 22 - 11*o**4 - 16/5*o**5 + 0*o - 16*o**3. Factor d(k).
-2*k*(k + 1)**2*(k + 3)**2
Let k(v) = 2*v**2 + 2*v - 1. Let m(q) = -q**2 + 1. Let d(f) = -5*k(f) - 5*m(f). Let w(s) = 16*s**2 + 30*s. Let i(x) = -20*d(x) - 6*w(x). Factor i(a).
4*a*(a + 5)
Let j be -8*(1/4 - 1). Let h be ((-2)/(-6))/(3 + (-1047)/351). Suppose h*n - j*n**2 - 9/2 = 0. Calculate n.
1/4, 3
Let g(d) = -d**3 + 8*d**2 + 34*d + 12. Let a be g(11). Let a*p**2 - 100*p**4 - 23*p**2 + 20*p**3 + 45*p**5 = 0. What is p?
0, 2/9, 2
Factor 2/7*v**3 - 20/7 - 16/7*v**2 + 34/7*v.
2*(v - 5)*(v - 2)*(v - 1)/7
Let s(d) be the third derivative of -d**6/360 - d**5/3