*y*(y - 45)*(y - 1)*(y + 2)/5
Let h(c) be the second derivative of -3*c**5/80 - 43*c**4/16 - 63*c**3/2 + 244*c. Factor h(w).
-3*w*(w + 7)*(w + 36)/4
Factor -38*i**2 - 401*i + 86*i - 414*i - 1815 - 372 - 3*i**3 - 43*i**2.
-3*(i + 9)**3
Factor -2/11*d**3 + 94*d**2 + 1036/11*d + 0.
-2*d*(d - 518)*(d + 1)/11
Let t(v) be the third derivative of 0*v - 1/25*v**5 + 1/200*v**6 + 14 - 7/40*v**4 + v**3 + 2*v**2. Determine y, given that t(y) = 0.
-2, 1, 5
Let c(z) be the third derivative of z**4 - 1/112*z**8 - 3/20*z**6 + 0*z**3 + 0*z + 81*z**2 + 0 - 1/14*z**7 + 1/5*z**5. Factor c(q).
-3*q*(q - 1)*(q + 2)**3
Let o be (0/30)/(-1*1). Suppose 4*f - 2*m - 22 = o, f - 5*m - 5 - 23 = 0. Find y such that 1/4*y**f - 3/4*y**2 + 0 + 1/2*y = 0.
0, 1, 2
Factor -83*w + 100 + 56*w**2 + 32822*w**3 - 71*w - 32824*w**3.
-2*(w - 25)*(w - 2)*(w - 1)
Let a = -1389 - -1394. Let q(j) be the third derivative of 7*j**2 - 2/195*j**a + 0 + 1/13*j**3 + 11/156*j**4 + 0*j. Factor q(g).
-2*(g - 3)*(4*g + 1)/13
Let l(j) be the third derivative of 7*j**7/15 - 491*j**6/40 + 493*j**5/4 - 12475*j**4/24 + 125*j**3/2 + 5*j**2 + 419. Factor l(f).
(f - 5)**3*(98*f - 3)
Let d = 1684 - 1682. Let f(v) be the first derivative of 1/9*v**6 - 12 - 2/3*v**5 + 5/3*v**d - 2/3*v + 5/3*v**4 - 20/9*v**3. Factor f(h).
2*(h - 1)**5/3
Let t = 893597 + -1787193/2. Factor -t*x**2 + 5 - 3/2*x.
-(x - 2)*(x + 5)/2
Let t(p) be the first derivative of p**6/2 - 6*p**5/5 - 33*p**4/4 + 12*p**3 + 2816. Suppose t(s) = 0. Calculate s.
-3, 0, 1, 4
Suppose 85*f**3 - 3930*f**5 + 1306*f**5 + 56*f + 1310*f**5 + 1309*f**5 + 44*f + 180*f**2 = 0. What is f?
-2, -1, 0, 5
Let u(f) be the first derivative of -4*f**3/3 - 138*f**2 - 4320*f + 7416. Solve u(g) = 0 for g.
-45, -24
Find j such that 22/9*j**3 - 20/3 - 82/9*j**2 - 2/9*j**4 + 122/9*j = 0.
1, 2, 3, 5
Let w(g) be the third derivative of g**7/2100 - g**6/450 - g**5/100 + 12*g**3 + g**2 + 35. Let o(z) be the first derivative of w(z). Factor o(c).
2*c*(c - 3)*(c + 1)/5
Let z be (355/(-10) - -31)*(-3)/(18/4). Let y(q) be the first derivative of -1/2*q**2 + 24 + 1/3*q + 2/9*q**z. Let y(l) = 0. Calculate l.
1/2, 1
Suppose -5*v + 9866*u - 9871*u = -140, 2*u = 2*v + 44. Let r = 1237/13 + -95. Determine q, given that -16/13 - 24/13*q + 6/13*q**v - 4/13*q**2 + r*q**4 = 0.
-2, -1, 2
Let -791/4*t**2 + 36 - 2*t**5 + 114*t - 1293/4*t**3 - 99/2*t**4 = 0. Calculate t.
-12, -1, -1/4, 1/2
Let t(o) = -o**2 - 8*o + 1. Let u(s) = -12*s. Let j(z) = -3*t(z) + 2*u(z). Factor j(l).
3*(l - 1)*(l + 1)
Let g be (114/(-18) - -3)*-6. Let x be (-6578)/(-3220) + 2/g. What is k in -3*k + 18/7*k**3 - x*k**4 + 3/7*k**5 + 9/7 + 6/7*k**2 = 0?
-1, 1, 3
Let m be (-3)/20*(-24120)/1809. Let p(r) be the second derivative of 0 + 1/4*r**4 + r**3 - 12*r**m - 34*r. Suppose p(z) = 0. What is z?
-4, 2
Let k = 6088810/11 + -553528. Solve 14/11 + 18/11*v**2 - 30/11*v - k*v**3 = 0.
1, 7
Suppose 731*f = 740*f - 27. Let q(o) = o**3 - 4*o**2 - 37*o + 123. Let c be q(f). Determine g, given that -6/7*g**c + 16/7 - 2/7*g**4 + 4/7*g**2 + 24/7*g = 0.
-2, -1, 2
Suppose -7*g + 36 = -2*g + 4*g. Let y(k) be the second derivative of 16/7*k**2 - 22*k + 0 + 4/3*k**3 + 1/7*k**g. Factor y(i).
4*(i + 4)*(3*i + 2)/7
Let r(p) = -p**3 - 13*p**2 + 486*p + 6610. Let s be r(-14). Solve 3/2 - 3/2*i**s + 5/2*i - 5/2*i**3 = 0.
-1, -3/5, 1
Let h(f) = -15*f**2 + 99*f - 132. Let t(n) = 23*n**2 + n + 21*n**2 - 78*n**2 + 16*n**2 + 2 + 19*n**2. Let i(p) = h(p) + 12*t(p). Factor i(g).
-3*(g - 36)*(g - 1)
Suppose 0 = 5*x + 5*x + 20. Let y be ((-1)/x)/((36/32)/9). Determine w, given that -5*w**5 - 50*w**2 + 125*w + 0*w**4 + 59*w**y - 120*w**3 - 9*w**4 = 0.
-1, 0, 1, 5
Let m(i) be the first derivative of 5*i**4/4 + 1920*i**3 - 5765*i**2/2 - 5283. Factor m(f).
5*f*(f - 1)*(f + 1153)
Let a(q) be the first derivative of 3*q**5/20 - 9*q**4/8 - 99*q**3/4 + 243*q**2/2 + 2187*q - 311. Factor a(m).
3*(m - 9)**2*(m + 6)**2/4
Let g(n) be the second derivative of -n**6/315 + 13*n**5/210 - 11*n**4/42 + 31*n**3/63 - 10*n**2/21 - 1605*n. Determine w so that g(w) = 0.
1, 10
Let f be (((-54)/(-15))/(-3))/(18/45). Let x(a) = 4*a**2 + 96*a - 100. Let b(r) = -r**2 - 32*r + 33. Let i(u) = f*x(u) - 8*b(u). Factor i(s).
-4*(s - 1)*(s + 9)
Let -2/3*k**3 + 0 + 4*k**2 + 32/3*k = 0. Calculate k.
-2, 0, 8
Factor 1/5*u**2 + 41/5 - 42/5*u.
(u - 41)*(u - 1)/5
Let d(r) = 15*r**3 + 30*r**2 - 61*r + 32. Let t(p) = 10*p**3 + 20*p**2 - 40*p + 20. Let y(i) = -5*d(i) + 8*t(i). Factor y(f).
5*f*(f - 1)*(f + 3)
Let d(x) be the second derivative of x**8/112 + x**7/35 - x**6/40 - x**5/10 + 305*x**2/2 - 59*x - 1. Let u(t) be the first derivative of d(t). Factor u(o).
3*o**2*(o - 1)*(o + 1)*(o + 2)
Let x = 34965 + -34963. Factor 2 - 13/3*m - 8/3*m**x.
-(m + 2)*(8*m - 3)/3
Let v(u) = -4*u**2 - 11*u - 14. Let q(w) = -w**2 + w + 1. Let b(c) = -7*q(c) + v(c). Factor b(k).
3*(k - 7)*(k + 1)
Suppose 4*k = 20, -207*i - 7 = -208*i - 4*k. Let u be (-322)/35 + (-2 - i). Solve 12/5*q + 3/5*q**2 + u = 0.
-3, -1
Let z(j) be the first derivative of -3/16*j**4 - 5/12*j**3 + 3/8*j**2 + 1/20*j**5 + j + 39. Suppose z(s) = 0. Calculate s.
-1, 1, 4
Determine u, given that -5*u**4 + 88*u**3 + 630*u + 17 - 228*u**2 - 37*u**3 + 39*u**3 - 212*u**2 - 292 = 0.
1, 5, 11
Let s(d) be the third derivative of -38*d**2 - 2/315*d**7 + 3*d - 8/9*d**3 + 1/15*d**6 + 0 - 13/45*d**5 + 2/3*d**4. Factor s(t).
-4*(t - 2)**2*(t - 1)**2/3
Suppose -5*q + 4 + 1 = 5*k, 23 = 5*k - 4*q. Suppose 225*y**4 + k - 18*y + 8*y**3 + 24*y**2 - 478*y**4 + 226*y**4 + 10*y**3 = 0. Calculate y.
-1, 1/3, 1
Let z(u) be the second derivative of -2*u**7/21 - 4*u**6/5 - u**5 + 20*u**4/3 + 24*u**3 + 32*u**2 + 2513*u. Determine m, given that z(m) = 0.
-4, -2, -1, 2
Find j such that -248/9*j**2 + 0 + 368/9*j**3 - 118/9*j**4 - 128/9*j + 2/3*j**5 = 0.
-1/3, 0, 2, 16
Let q = 10919/3 + -3637. Let g(p) be the first derivative of p**4 + 2*p**2 + q*p**3 + 0*p + 13. Factor g(m).
4*m*(m + 1)**2
Let c = -1491915 - -1491917. Factor -2*m**c + 54/11*m + 36/11.
-2*(m - 3)*(11*m + 6)/11
Let l = -17397/100 + 701/4. Let h = l - -38/25. Factor 2/5*v**2 - 16/5 - h*v.
2*(v - 8)*(v + 1)/5
Suppose 0 = 5*f - 15, -4*k + 20 = 2*f - 6*f. Let v = 29 - k. Factor -19 - 3*x + v*x**2 + 1 - 54*x.
3*(x - 3)*(7*x + 2)
Let m(l) be the third derivative of -l**6/600 + l**5/50 + l**4/120 - l**3 - 959*l**2. Factor m(z).
-(z - 5)*(z - 3)*(z + 2)/5
Solve 400*o - 4/7*o**4 - 1080/7*o**2 + 116/7*o**3 + 4000/7 = 0.
-1, 10
Let g = -920 + 36801/40. Let u(s) be the third derivative of -g*s**6 + 0*s**3 - 1/20*s**5 + 0*s + 0 + 1/8*s**4 + 1/70*s**7 - 16*s**2. Factor u(o).
3*o*(o - 1)**2*(o + 1)
Let g(i) = 3 + 0*i**3 - i**3 + 9*i**2 + 9 - 15*i - 5. Let l be g(7). Factor -2*m**2 + m**2 + l*m**2.
-m**2
Suppose -4*o + 176 = -12*o + 96*o. Let a(f) be the first derivative of -7/4*f**o - 28 - 1/6*f**3 + 0*f. Solve a(x) = 0.
-7, 0
Factor -4*q**3 - 270*q - 801*q - 7*q**3 - 315*q**2 + 534 + 8*q**3 + 855*q**2.
-3*(q - 178)*(q - 1)**2
Let h(s) be the third derivative of s**5/20 - 25*s**4/8 + 42*s**3 - 5*s**2 + s - 190. Factor h(w).
3*(w - 21)*(w - 4)
Suppose 27 = 3*q - 5*u, 3*q + 4*u - 3 = u. What is o in -2*o**5 - 51*o**4 - 10*o**3 + 25*o**4 + 34*o**4 + q*o**2 = 0?
0, 1, 2
Suppose -1/2*m**3 + 127 - 509/2*m + 128*m**2 = 0. Calculate m.
1, 254
Let k(u) = 31*u**2 + 14*u + 3. Let g be k(-5). Factor 2464*o + g*o**2 + 3081 - 352 + 88*o**3 + 4*o**4 + 407.
4*(o + 4)**2*(o + 7)**2
Let y(s) be the third derivative of s**6/132 + 7*s**5/110 + 19*s**4/132 + s**3/11 + 134*s**2 - 1. Factor y(k).
2*(k + 1)*(k + 3)*(5*k + 1)/11
Let k(h) = -22*h**2 + 17*h**2 + 95*h - 74*h + 12. Let l(x) = 11*x**2 - 44*x - 23. Let b(r) = -13*k(r) - 6*l(r). Factor b(t).
-(t + 3)*(t + 6)
Find o such that 191*o**2 - 172*o**2 + 45*o - 100 - 24*o**2 = 0.
4, 5
Let s(h) be the second derivative of h**5/5 - 7*h**4/3 + 4*h**3/3 + 80*h**2 + 143*h + 3. Solve s(m) = 0.
-2, 4, 5
Let f(i) = 1273*i - 5089. Let p be f(4). Let n(q) be the second derivative of 3*q**p + q**4 + 1/10*q**5 - 19 - q + 4*q**2. Factor n(h).
2*(h + 1)**2*(h + 4)
Let i = -54 - -3. Let x = -48 - i. Factor -5*c**x - 5*c**2 - 3*c**2 - c**2 - c**2.
-5*c**2*(c + 2)
Let b = 74 + -367/4. Let s = b - -391/20. Factor 1/5 + s*z**2 + 6/5*z + 4/5*z**3.
(z + 1)**2*(4*z + 1)/5
Let x(i) be the third derivative of i**5/12 