**2*(s + 2)
Let n = 48659/129800 - -2/16225. Suppose -3/2 + 3/8*m**2 - n*m**3 + 3/2*m = 0. Calculate m.
-2, 1, 2
Let g = 211 + -209. Factor 102*z + 109*z + z**g - 212*z.
z*(z - 1)
Factor 2*w**4 - 269*w**3 + 34*w**2 + 375*w**3 - 142*w**2.
2*w**2*(w - 1)*(w + 54)
Let q = 3488/13305 - -4/887. Let n(s) be the third derivative of 0*s + 0*s**3 - 2/3*s**4 + 0 + 16*s**2 - 1/30*s**6 + q*s**5. Solve n(r) = 0.
0, 2
Let v(g) be the second derivative of g**7/98 - 37*g**6/70 + 162*g**5/35 - 45*g**4/7 - 7530*g. Let v(j) = 0. Calculate j.
0, 1, 6, 30
Let n(i) = -3*i**5 + 3*i**4 - i**3 - 3*i**2 + 2*i + 2. Let k(c) = 7*c**5 - 5*c**4 + 5*c**2 - 2*c - 5. Let t(m) = -4*k(m) - 10*n(m). Solve t(y) = 0.
-1, 0, 1, 2, 3
Let x(o) be the first derivative of 2*o**6/9 - 4*o**5/5 + o**4/3 + 4*o**3/3 - 4*o**2/3 + 662. What is v in x(v) = 0?
-1, 0, 1, 2
Suppose 0 - 36/5*d + 122/5*d**2 + 8/5*d**4 + 86/5*d**3 = 0. Calculate d.
-9, -2, 0, 1/4
Factor 90*w + 0*w**2 - 576 + 48*w - 4*w**2 - 38*w.
-4*(w - 16)*(w - 9)
Let p(y) be the second derivative of -y**4/60 - 121*y**3/30 - 119*y**2/5 - 4*y + 21. Factor p(z).
-(z + 2)*(z + 119)/5
Let z be 519556/53020 + (-6 - 4). Let c = -2/2651 - z. Let -c*b - 6/5 + 1/5*b**2 = 0. Calculate b.
-2, 3
Let s(k) be the first derivative of k**3/24 - 307*k**2/16 - 1373. Factor s(v).
v*(v - 307)/8
Let d(u) = -u**4 + 25*u**3 - 166*u**2 - 608*u - 640. Let o(h) = h**4 - h**3 + 13*h**2 - h - 2. Let w(c) = d(c) + 4*o(c). Factor w(s).
3*(s - 6)*(s + 2)**2*(s + 9)
Suppose 36 - 103*r**3 + 156*r + 461*r**2 + 9*r**5 - 51*r**4 + 58*r**3 - 326*r**2 = 0. What is r?
-1, -1/3, 2, 6
Let n be (-17 - (-1869)/105)*10/2. Let s(l) be the first derivative of 1/2*l**n + 4/3*l**3 + 17 + 0*l + l**2. Find w, given that s(w) = 0.
-1, 0
Let u(o) be the first derivative of o**4/28 + 898*o**3/21 + 201601*o**2/14 + 2034. Factor u(v).
v*(v + 449)**2/7
Let w = 408/1691 + 18252/8455. Suppose -w - 4*z - 4/5*z**2 + 4/5*z**3 = 0. What is z?
-1, 3
Let r(y) be the first derivative of -y**4/8 + 7*y**3/3 - 43*y**2/4 + 15*y - 36. Factor r(n).
-(n - 10)*(n - 3)*(n - 1)/2
Let u be 132/(-2772)*21/(-2). Let w(t) be the third derivative of 0*t**5 + 0*t + 15*t**2 + 0*t**3 - 1/40*t**6 + 0 + u*t**4. Factor w(c).
-3*c*(c - 2)*(c + 2)
Find y, given that 400*y + 4/5*y**2 - 8064/5 = 0.
-504, 4
Let m(d) be the third derivative of 0*d**3 + 0 - 19*d + d**2 - 19/168*d**8 + 2/105*d**7 + 19/60*d**6 - 1/15*d**5 + 0*d**4. Solve m(l) = 0.
-1, 0, 2/19, 1
Let d(w) be the third derivative of -w**5/450 + w**4/20 + 4*w**3/5 - 3*w**2 - 289. Factor d(x).
-2*(x - 12)*(x + 3)/15
Factor 22 - 2/3*n**2 - 64/3*n.
-2*(n - 1)*(n + 33)/3
Let k(n) = -n**2 + n - 30. Let r(m) = 5*m**2 - 527*m + 732. Let w(u) = 7*k(u) + r(u). Find i such that w(i) = 0.
-261, 1
Let h(g) be the second derivative of g**7/210 + g**6/18 + 4*g**5/15 - g**4 - g**3/3 + 40*g. Let d(b) be the third derivative of h(b). Factor d(l).
4*(l + 2)*(3*l + 4)
Suppose 2*v = 9*v - 63. Suppose y - v*y + 16 = 0. Determine m so that 354 - y*m**2 - 15*m + 7*m**2 - 374 = 0.
-1, 4
Find k, given that 24/7 - 10/7*k - 2/7*k**3 - 12/7*k**2 = 0.
-4, -3, 1
Let m(j) = 34*j**2 + 0*j**3 - 51 + j - 12*j**2 + 20 + 4*j**3. Let y(w) = w**3 + 7*w**2 - 10. Let b(x) = -2*m(x) + 7*y(x). Let b(u) = 0. What is u?
-1, 2, 4
Solve 2*g**2 - 54/11 + 2/11*g**3 + 30/11*g = 0.
-9, -3, 1
Let z(t) = -1096*t + 160020. Let v be z(146). Let d = -222 + 2000/9. Solve 0*s**2 + 8/9*s - 2/3*s**3 + d*s**v + 0 = 0.
-1, 0, 2
Let c(u) = -106*u + 152. Let a be c(-6). Let p = a + -1575/2. Factor p*n**2 - 1/2*n - 1.
(n - 2)*(n + 1)/2
Let s(w) = 3*w + 1. Let m(x) = -4*x**2 - 12*x + 38. Let v(c) = 4*m(c) + 44*s(c). What is f in v(f) = 0?
-7/4, 7
Let u(c) = 11*c**2 + 125*c + 46. Let h be (-77)/(35/5)*(-3 - -4). Let d be u(h). What is y in -21/2*y**d - 21*y - 3/2*y**3 - 12 = 0?
-4, -2, -1
Find w such that 1/5*w**4 + 56*w**3 - 838/5*w - 3/5*w**2 + 112 = 0.
-280, -2, 1
Let k = -86063 + 86065. Let 414/5*a**k + 396*a - 120 + 21/5*a**3 = 0. Calculate a.
-10, 2/7
Let t = -18309/54905 + 46/139. Let s = 393/790 - t. Solve -s*h + 0 - 5/4*h**2 + 1/2*h**3 + 5/4*h**4 = 0.
-1, -2/5, 0, 1
Suppose 8*j + 3235 = 3259. Factor 8/13*k - 2/13*k**j + 2/13*k**2 - 8/13.
-2*(k - 2)*(k - 1)*(k + 2)/13
Let m(y) be the first derivative of -1/210*y**5 + 9/2*y**2 - 2/21*y**4 + 0*y**3 + 0*y - 8. Let l(f) be the second derivative of m(f). Let l(b) = 0. What is b?
-8, 0
Let q be (0 - 8/14)*91/52*-2. Let y(j) be the second derivative of 3/14*j**3 - 1/28*j**4 + 6*j + 0 + 6/7*j**q. Factor y(o).
-3*(o - 4)*(o + 1)/7
Let p(y) = 32*y**2 + 124*y - 342. Let a(j) = 5*j**2 + 2*j + 2. Let n(r) = -6*a(r) + p(r). Factor n(c).
2*(c - 3)*(c + 59)
Let z(u) be the first derivative of -u**8/1680 - u**7/140 - 11*u**6/360 - u**5/20 + u**3 + 9*u**2 + 121. Let j(q) be the third derivative of z(q). Factor j(r).
-r*(r + 1)*(r + 2)*(r + 3)
Let d(o) be the first derivative of 0*o + 7/10*o**6 + 9/5*o**2 + 27/25*o**5 - 99/20*o**4 + 9 + 11/5*o**3. Find a such that d(a) = 0.
-3, -2/7, 0, 1
Suppose -2*g - 4*n + 2 = 8, 4*g + 4*n = 4. Find h, given that 48*h**2 - 52*h**3 - 22*h + 0*h**5 - 21*h - 4*h**g + 27*h + 24*h**4 = 0.
0, 1, 2
Suppose -11*v = -7*v - 20. Suppose 117 + 200 = 4*m - 3*q, v = 5*q. Factor -m*u**4 + 90*u**4 + 2*u**3 - 4*u**2 + 4*u**3.
2*u**2*(u + 1)*(5*u - 2)
Let j(u) = -u**2. Suppose -44*b - 85 = -27*b. Let p(z) = 3*z**4 - 2*z**3 + 4*z**2. Let m(t) = b*j(t) - p(t). Factor m(c).
-c**2*(c - 1)*(3*c + 1)
Let q(g) = 7*g**3 + 37*g**2 - 7. Let c be q(-5). Let d(o) = -o**2 - 7*o - 10. Let a be d(-4). Factor -2*i**3 - 38*i**2 + 77*i**a + 4*i**4 - c*i**2 + 2*i**5.
2*i**2*(i - 1)*(i + 1)*(i + 2)
Suppose -23*m - 45*m + 340 = 0. Let a(w) be the first derivative of -5/4*w**3 + 0*w - 7 + 3/4*w**2 + 3/4*w**4 - 3/20*w**m. Find p such that a(p) = 0.
0, 1, 2
Let n(d) = -5*d**3 - d**2. Let i(v) = -24*v**3 + 360*v**2 + 33123*v - 33489. Let m(q) = i(q) - 5*n(q). Find f, given that m(f) = 0.
-183, 1
Let x be ((-7)/(-14))/((-3971)/(-836)). Let -2/19*z**2 - 4/19*z - x = 0. Calculate z.
-1
Let q(m) = -11*m + 10. Let a be q(-25). Factor -567*h**3 + 283*h**3 - h**2 + a*h**3 - 6*h.
h*(h - 3)*(h + 2)
Let x(m) = -10*m + 154. Let r be x(15). Let i be (156/(-36) + r + -1)/(-2). Solve i*q**2 + 0*q**3 - 2/3*q**4 + 0*q + 0 = 0.
-1, 0, 1
Let 22219857*j - 480*j**3 + 484*j**3 + 2216091*j - 17124*j**2 - 11623365932 = 0. What is j?
1427
Let n(o) be the second derivative of -o**4/3 - 1390*o**3/3 - 1388*o**2 - 24*o + 25. Factor n(k).
-4*(k + 1)*(k + 694)
Let o(r) be the third derivative of -7/24*r**6 + 1/21*r**7 - 25/24*r**4 + 0 + 5/6*r**3 + 3/4*r**5 + 136*r**2 + 0*r. Let o(q) = 0. Calculate q.
1/2, 1
Let k(r) = -14*r**3 - 456*r**2 - 910*r - 498. Let n(t) = -t**3 - t - 5. Let b(j) = k(j) - 10*n(j). Factor b(u).
-4*(u + 1)**2*(u + 112)
Let w(z) be the first derivative of 42 + 0*z + 97*z**5 + 15*z**2 + 95/6*z**6 + 355/3*z**3 + 715/4*z**4. Suppose w(a) = 0. Calculate a.
-3, -1, -2/19, 0
Let o(h) = -4*h**3 - 3*h**2 - 36*h - 33. Let a be o(-1). Let g(v) be the first derivative of 0*v + 2*v**2 + 7/2*v**a - 5 + 6*v**3. Determine b so that g(b) = 0.
-1, -2/7, 0
Let q = -121089 - -121092. Factor 4/3*m**2 + 0 - 2/15*m**q + 22/15*m.
-2*m*(m - 11)*(m + 1)/15
Let k(o) be the first derivative of -5*o**4 + 82*o**3/3 - 4*o**2 + 1040. Determine j so that k(j) = 0.
0, 1/10, 4
Let l = 107 - 717/7. Let r be (-8 - (4 - 2))*(-8)/16. Find u, given that 8/7*u**3 - l*u**4 + 4/7 - 22/7*u + 4*u**2 + 2*u**r = 0.
-1, 2/7, 1
Let q be 247868/(-140) + 2 - (-10)/(-75). Let r = q + 1769. Factor 14/3*o**2 + r + 8/3*o.
2*(7*o + 2)**2/21
Let f(p) be the second derivative of 32/15*p**3 + 0 + 256/5*p**2 - 90*p + 1/30*p**4. Factor f(g).
2*(g + 16)**2/5
Suppose -6*z + 22 + 26 = 0. Solve 12 + 25*l**3 - 25*l**3 - 2*l + z*l**4 + 2*l**5 - 20*l**2 = 0.
-3, -2, -1, 1
Let h = 515944/3 - 171981. Factor 0 - 1/3*g - h*g**3 - 2/3*g**2.
-g*(g + 1)**2/3
Let i(l) be the third derivative of 4/105*l**5 + 25*l**2 + 2/7*l**4 + 1/630*l**6 + 0 + 0*l + 16/3*l**3. Let v(p) be the first derivative of i(p). Factor v(g).
4*(g + 2)*(g + 6)/7
Let w(x) = -x**3 - 392*x**2 - 4928*x - 10. Let z be w(-13). Suppose 2/3*i**4 - 20/3*i + 20/3*i**z - 2/3*i**2 + 0 = 0. Calculate i.
-10, -1, 0, 1
Factor -642*b - 1372 + 2*b**2 + 2462 + 1734*b.
2*(b + 1)*(b + 545)
Factor -4/3*q + 176/3*q**2