*a**3 - 11*a**2 + 6 - 7*a**r - 20*a - 303*a**3.
2*(a - 3)*(a + 1)*(4*a - 1)
Let x be -3 - (-83 - 7/(35/15)). Suppose 0 = -30*w + x + 7. Factor -2/9*o**w - 2/3*o - 2/3*o**2 - 2/9.
-2*(o + 1)**3/9
Suppose -44*z = -47*z - 360. Let m be 1/((-6)/z - (-2)/10). Solve m*d**2 + 8 - 25*d**3 + 2*d**2 + 12*d + 26*d**3 = 0 for d.
-2
Let b = 146285/4 - 36554. Find x, given that -45/2 + b*x - 3/2*x**2 = 0.
3/2, 10
Factor -2*q**4 - 122*q**3 - 193*q**2 - 228*q + 14*q**2 + 2*q**3 - 167*q**2.
-2*q*(q + 1)*(q + 2)*(q + 57)
Let i(t) be the first derivative of t**3/15 + 31*t**2/5 - 1031. Factor i(g).
g*(g + 62)/5
Let m(a) be the third derivative of -1/12*a**4 - 14*a**2 + 1/540*a**5 + 0 + 16/27*a**3 - 4*a. Factor m(x).
(x - 16)*(x - 2)/9
Let y(u) be the third derivative of 0*u - 5*u**2 - 3/160*u**5 + 0 + 1/64*u**4 + 1/8*u**3. Factor y(w).
-3*(w - 1)*(3*w + 2)/8
Let u = -224 + 226. Factor 13 + 11*m + 23 - 3*m**u - 3*m**3 + 13*m.
-3*(m - 3)*(m + 2)**2
Let f = 1635 - 24523/15. Let d(t) be the first derivative of -9 - 1/6*t**4 + 4/3*t + 1/3*t**2 + f*t**5 - 2/3*t**3. Factor d(z).
2*(z - 2)*(z - 1)*(z + 1)**2/3
Let w = -24667 - -24671. Let n(g) be the second derivative of 1/4*g**5 - 5/6*g**3 + 2*g + 0*g**2 + 0 + 5/12*g**w - 1/6*g**6. Suppose n(h) = 0. Calculate h.
-1, 0, 1
Let g(w) = -695*w + 697. Let y be g(1). Factor -y*p**3 + 1/3*p**4 + 13/3*p**2 + 4/3 - 4*p.
(p - 2)**2*(p - 1)**2/3
Find r such that -8*r**2 - 1/2*r**3 + 57/2*r + 0 = 0.
-19, 0, 3
Let n = -23455 - -703657/30. Let z(t) be the second derivative of t**2 + 0 + 9/4*t**4 - 23/20*t**5 + n*t**6 - 13/6*t**3 - 3*t. Factor z(k).
(k - 1)**3*(7*k - 2)
Let h(x) = 7*x - 15 + x**2 + 18 - 8. Let k be h(-8). Let 16*o**4 - 4*o**5 + 3*o + 16*o**2 + 0*o**5 - 7*o + 9*o**k - 33*o**3 = 0. What is o?
0, 1
Let n(y) = -y**2 - 226*y + 441. Let z(j) = 8*j**2 + 1582*j - 3086. Let s(u) = 44*n(u) + 6*z(u). Factor s(o).
4*(o - 111)*(o - 2)
Let m = -74 - -84. Suppose 18 + 7 = -5*b, 5*r = 2*b + m. Let -3*z + 2*z - 4*z**2 - 19*z + r*z = 0. What is z?
-5, 0
Let v(g) be the third derivative of g**5/12 - 5*g**4/2 - 160*g**3/3 - g**2 - 383*g. Factor v(m).
5*(m - 16)*(m + 4)
Let k = 581850/139 - 4186. Let q = k + 449/1112. Solve 3/8*i - q*i**3 - 3/4*i**2 + 3/4 = 0 for i.
-2, -1, 1
Let z(g) be the third derivative of g**6/1080 + g**5/72 - g**4/12 + 20*g**3/3 + 72*g**2. Let i(u) be the first derivative of z(u). Solve i(x) = 0 for x.
-6, 1
Suppose 4*p - 2745 = -2765, 4*a - p - 21 = 0. Solve 11/4*l + 3/4 - 5/4*l**5 + 5/2*l**2 - 3/2*l**3 - 13/4*l**a = 0 for l.
-1, -3/5, 1
Let l(a) be the third derivative of 0*a**3 + 14*a**2 + 10*a + 1/15*a**5 + 0 + 2*a**4. Find q such that l(q) = 0.
-12, 0
Let x(m) = -m**2 + 1402*m + 165683. Let g(s) = 1404*s + 165681. Let i(q) = 4*g(q) - 3*x(q). Factor i(h).
3*(h + 235)**2
Let f be (((-4455)/18)/(-55))/(9/6). Determine u, given that -60/7*u**f - 16/7*u + 0 - 72/7*u**2 + 50/7*u**4 = 0.
-2/5, 0, 2
Let k(t) = 47*t**2 - 801*t + 34. Let r be k(17). Solve 4/5*v**4 - 4/5*v**2 + 6/5*v + 2/5*v**5 - 8/5*v**3 + r = 0.
-3, -1, 0, 1
Factor 907926 + 3/2*l**2 + 2334*l.
3*(l + 778)**2/2
Let m(n) be the third derivative of -n**6/120 - 37*n**5/30 - 60*n**4 - 432*n**3 + 177*n**2. Factor m(z).
-(z + 2)*(z + 36)**2
Let u(r) be the second derivative of r**4/24 - 79*r**3/4 - 2202*r. Let u(a) = 0. What is a?
0, 237
Let s(w) = 2*w + 14. Let x be s(-8). Let m be (-3 + 4)/((-3)/x - 1). Factor -3*p**2 - p**m - 4*p**4 + 25*p**5 - 24*p**5 + p + 6*p**3.
p*(p - 1)**4
Let x = 2473/14712 - 7/4904. Let l(f) be the third derivative of 1/60*f**6 - x*f**4 + 20*f**2 - 1/30*f**5 + 0 + 0*f**3 + 0*f. Factor l(r).
2*r*(r - 2)*(r + 1)
Let w(g) = -2185*g + 565. Let a(m) = 4*m**2 - 2183*m + 568. Let j(s) = -5*a(s) + 6*w(s). Factor j(k).
-5*(k + 110)*(4*k - 1)
Let t be ((-1)/3)/(-1 + (-16)/(-18)). Let c(u) = -122*u + 370. Let a be c(t). Solve 0 - a*f - 4/7*f**2 = 0.
-7, 0
Let p = 74/1667 - -6150/11669. Factor -p*a**4 - 240/7*a + 40/7*a**3 - 52/7*a**2 - 144/7.
-4*(a - 6)**2*(a + 1)**2/7
Factor 2*m**4 - 292032 + 25049*m**2 + 44928*m + 626*m**3 + 32017*m**2 - 7782*m**2.
2*(m - 2)*(m + 3)*(m + 156)**2
Let u(d) be the third derivative of -d**6/12 + 11*d**5/20 + 31*d**4/24 - 2*d**3 - 1491*d**2. Suppose u(r) = 0. Calculate r.
-1, 3/10, 4
Suppose 95*h**3 - 49 + 97 - 50*h**3 + 215*h + 102 - 50*h**3 + 60*h**2 = 0. What is h?
-2, -1, 15
Let k = 200692 - 3813112/19. Factor -2/19*p**2 - 64/19 + k*p.
-2*(p - 16)*(p - 2)/19
Let y be (-195)/(-75) - ((-228)/(-30) + -7). Let o = 2/167 + 320/1169. Factor o - 2/7*n**y + 0*n.
-2*(n - 1)*(n + 1)/7
Suppose 27*b + 12*b - 573 = -378. Let a(v) be the first derivative of 0*v + 25/4*v**4 + 43 + v**b + 20/3*v**3 + 0*v**2. Factor a(h).
5*h**2*(h + 1)*(h + 4)
Suppose 0*p - 4*p + 3584 = -4*i, -2*p + 4*i + 1800 = 0. Let a = -8020/9 + p. Factor -2/3 - a*v - 2/9*v**2.
-2*(v + 1)*(v + 3)/9
Let h(n) be the third derivative of 3*n**2 + 1/1512*n**8 - 4*n + 5/27*n**6 + 2048/27*n**3 - 320/27*n**4 + 0 + 4/189*n**7 - 16/27*n**5. Factor h(a).
2*(a - 2)**2*(a + 8)**3/9
Let t = 15600 + -15600. Let w(s) be the third derivative of 7*s**2 + 1/20*s**5 + t*s + 1/42*s**7 + 0*s**3 + 0*s**4 + 1/336*s**8 + 7/120*s**6 + 0. Factor w(l).
l**2*(l + 1)**2*(l + 3)
Let o be ((-1)/((-6)/9))/(-4 - (-711)/90). Let v(u) be the first derivative of 2/39*u**3 + 8/13*u - o*u**2 + 21. Determine i, given that v(i) = 0.
1, 4
Let g(c) = -2*c**2 + 291*c - 1269. Let v be g(141). Let y(o) = 4*o + 20. Let w be y(-5). Solve 0*a**2 + w + v*a + 2/7*a**3 = 0.
0
Let a = -6 - -8. Let d be (-102)/(-45) - ((-2072)/21090 - (-6)/(-171)). Determine o, given that -d*o + 0 + 3/5*o**a = 0.
0, 4
Factor 9*y**2 - 10*y**2 + 28*y + 154 - 125 + 216.
-(y - 35)*(y + 7)
Let g(o) be the third derivative of o**7/420 - 11*o**6/180 - 13*o**3/2 - 13*o**2 + 1. Let u(t) be the first derivative of g(t). Let u(w) = 0. What is w?
0, 11
What is m in 9522*m - 9522*m - 18 + 0*m**2 + 2*m**2 = 0?
-3, 3
Let f(i) be the first derivative of -7*i**3/2 + 723*i**2/4 - 153*i - 5104. Suppose f(m) = 0. What is m?
3/7, 34
Let h(g) = -70*g - 487. Let d be h(-7). Let y(v) be the first derivative of 3/4*v**4 + 3*v**d - 9*v + 18 - 3/2*v**2. Factor y(w).
3*(w - 1)*(w + 1)*(w + 3)
Suppose -3*y + u - 6*u = -2, 2*y - 5*u = 18. Let b be 54/y*(-2)/3*-4. What is m in b*m**2 - 2*m + 12*m - 31*m**2 = 0?
-2, 0
Let t(m) be the second derivative of 0*m**2 + 0 - 1/72*m**4 + 11/18*m**3 - 50*m. Factor t(o).
-o*(o - 22)/6
Suppose -3*o - 7 = -q + 5, 2*q = -o + 45. Let u be q/(-9) - (-704)/240. Factor 0 - 3/5*g**2 + u*g.
-3*g*(g - 1)/5
Factor -1/5*g**4 + 4/5*g**3 + 0*g - 3/5*g**2 + 0.
-g**2*(g - 3)*(g - 1)/5
Let o = -12 + 12. Let y be 54 + -51 - (0 - -1). Factor 0*x**y + o*x - 3/7*x**4 + 0 + 3/7*x**3.
-3*x**3*(x - 1)/7
Find j such that -396/5 - 789/5*j - 78*j**2 + 3/5*j**3 = 0.
-1, 132
Find v, given that 670 - 16*v - 4*v**2 - 272 - 218 = 0.
-9, 5
Let m(p) be the first derivative of 2*p**3/33 - 1125*p**2/11 - 2252*p/11 - 9630. Find k, given that m(k) = 0.
-1, 1126
Let y(v) be the first derivative of -v**6/180 + v**5/15 - 116*v**3/3 + 200. Let z(u) be the third derivative of y(u). Factor z(p).
-2*p*(p - 4)
Let j(d) be the first derivative of d**3 - 810*d**2 - 1623*d - 2286. Factor j(g).
3*(g - 541)*(g + 1)
Let m = 12943 + -12938. Let x(u) be the first derivative of 12*u + 2/3*u**3 + 1 + m*u**2. Factor x(r).
2*(r + 2)*(r + 3)
Suppose a - 12 = -12*z + 13*z, 0 = 2*a + 3*z - 24. Factor -3*l + 4*l**2 + a*l**3 + 12 - 7*l**2 - 45*l.
3*(l - 2)*(l + 2)*(4*l - 1)
Solve 5*i - 31*i - 128 + 17*i - 51*i + 2*i**2 = 0 for i.
-2, 32
Suppose -120*h = -100*h. Let q(o) be the first derivative of h*o + 1/18*o**6 + 1/2*o**4 + 9 - 4/9*o**3 - 4/15*o**5 + 1/6*o**2. Suppose q(y) = 0. What is y?
0, 1
Let f(d) be the first derivative of -36/7*d**3 - 213 - 3/14*d**2 + 0*d - 15/4*d**4. Determine y, given that f(y) = 0.
-1, -1/35, 0
Let l(b) be the first derivative of -256 + 380*b - 5/4*b**4 - 200*b**2 + 115/3*b**3. Factor l(u).
-5*(u - 19)*(u - 2)**2
Suppose -5*z + 7 = -4*q, z + 5 = 2*q + 2*q. Suppose z*p = 9, -5*v + 0 + 18 = p. Let 2*o**4 + 2*o**4 + 7*o**2 - 6*o**v - o**4 - 16*o**2 = 0. Calculate o.
-1, 0, 3
Let r = -46841 + 234277/5. Factor -r - 1/5*j**3 + 2*j**2 - 12/5*j.
-(j - 6)**2*(j + 2)/5
Let t(d) be the third derivative of -d**8/336 - d**7/105 + d**6/40 + 34*d**2 + 10*d. Fa