 - -6))*(150/12 + -8). Factor 0 + 0*d + 7/2*d**2 + 1/4*d**4 - p*d**3.
d**2*(d - 7)*(d - 2)/4
Suppose 12 = v - 3*o - 5, 3*v + 5*o + 19 = 0. Factor -w**2 - v*w + 7*w - 12 - 6*w + 9*w.
-(w - 6)*(w - 2)
Let y(a) be the first derivative of -a**2 + 0*a - 5/9*a**3 + 1/6*a**4 + 54 + 1/15*a**5. Factor y(x).
x*(x - 2)*(x + 1)*(x + 3)/3
Factor 12/7 + 39/7*q**2 - 159/7*q.
3*(q - 4)*(13*q - 1)/7
Let w(y) be the first derivative of 0*y - 1 + 1/6*y**4 + 10/9*y**3 + 4/3*y**2. Factor w(d).
2*d*(d + 1)*(d + 4)/3
Suppose 6*z = 10*z - 20. Suppose s - z = -5. Factor -3*p**2 - 9*p**4 + 12*p**4 + s*p**4.
3*p**2*(p - 1)*(p + 1)
Let n(l) be the first derivative of 2/9*l + 2/15*l**5 + 1/54*l**6 + 7/18*l**4 + 1/2*l**2 + 59 + 16/27*l**3. Solve n(v) = 0 for v.
-2, -1
Let a(b) be the first derivative of -b**6/15 - 17*b**5/30 + 4*b**4/3 + 5*b**3/3 + 2*b**2 + 9*b - 49. Let u(s) be the second derivative of a(s). Factor u(w).
-2*(w - 1)*(w + 5)*(4*w + 1)
Let t(p) be the third derivative of -p**6/40 + 39*p**5/20 - 9*p**4/2 - 38*p**3 + 295*p**2. Find l such that t(l) = 0.
-1, 2, 38
Let 57/4*u**2 - 3/4*u**4 + 9/2*u - 54 + 0*u**3 = 0. Calculate u.
-3, 2, 4
Let z(l) be the first derivative of 19*l**3/3 - 97*l**2/2 + 10*l + 5420. Factor z(x).
(x - 5)*(19*x - 2)
Let d = 28280 - 169675/6. Let i(s) be the third derivative of 25/24*s**4 + 0*s - d*s**3 - 45*s**2 - 1/3*s**5 + 0. Factor i(g).
-5*(g - 1)*(4*g - 1)
Let k(a) = 8*a + 20. Let o be k(-5). Let b be ((-145)/o + -2)/((-3)/(-4)). Solve b*p**5 - 3*p**5 + 5*p**5 + 6*p**3 + 21*p**4 = 0.
-2, -1/3, 0
Let l(n) be the third derivative of -11/20*n**6 + 2/21*n**7 + 0*n**3 - 1 + 4/3*n**5 - 1/168*n**8 - 4/3*n**4 - 3*n**2 + 0*n. Factor l(m).
-2*m*(m - 4)**2*(m - 1)**2
Let l(h) be the third derivative of h**8/70560 - h**7/1960 + h**6/315 - 2*h**5 + 74*h**2. Let n(t) be the third derivative of l(t). Let n(u) = 0. Calculate u.
1, 8
Let b(y) = -6*y**2 + 1346*y - 34. Let s(h) = -h**2 + h - 17. Let j(w) = b(w) - 2*s(w). Solve j(o) = 0 for o.
0, 336
Determine s, given that -310*s - 3*s**2 - 54 - 13*s**2 - 7*s**2 + 92*s + 15*s**2 = 0.
-27, -1/4
Let o(d) be the first derivative of d**4/18 + 32*d**3/27 - 4*d**2 - 3429. Factor o(g).
2*g*(g - 2)*(g + 18)/9
Let p(w) be the second derivative of -5*w**2 + 41*w - 1/15*w**6 - 4/5*w**5 - 16/3*w**3 - 3*w**4 - 2. Factor p(d).
-2*(d + 1)**3*(d + 5)
Factor 346458*a**3 - 196223*a**3 - 2955*a + 55*a - 190905*a**3 - 22505*a**2 + 60.
-5*(7*a + 2)**2*(166*a - 3)
Suppose 0 = 5*n - 20, -3*a - 2*a = 2*n + 3232. Let z be a/(-30) + (-4)/(-10). Let j**2 + 20 + z - 43 = 0. Calculate j.
-1, 1
Let 38*f**3 + 24 + 20 + 3*f - 7*f - 52*f**2 - 7*f + 8*f**4 - 26*f - f**5 = 0. Calculate f.
-4, -1, 1, 11
Let y = -58669/4712 - -387/31. Let n = 2057/152 - y. Factor 0*f - 3/8*f**5 - n*f**3 - 9/2*f**4 + 0*f**2 + 0.
-3*f**3*(f + 6)**2/8
Let m(o) = -o**3 + 5*o**2 - 8*o + 6. Let q be m(2). Factor -x - 8*x**3 + 8*x**4 - x + 20*x**2 + 10*x - 44*x**4 + 16*x**q.
-4*x*(x - 1)*(x + 1)*(9*x + 2)
Let j(a) be the third derivative of -a**8/336 - a**7/70 + 19*a**6/30 - 11*a**5/5 + 3042*a**2 - 2. Solve j(b) = 0.
-11, 0, 2, 6
Suppose 4*b - 4 = -b + 2*a, -5*a = -b - 13. Let p(r) = 9*r**2 + 492*r + 327. Let y be p(-54). Factor -1/2*w**b + w - 1/4*w**y + 2.
-(w - 2)*(w + 2)**2/4
Find n, given that 98/5*n**3 + 1/5*n**4 + 0*n + 376/5*n**2 + 0 = 0.
-94, -4, 0
Let y(x) = -3*x**3 - 678*x**2 + 117645*x. Let t(m) = m**3 - 2*m**2 + m. Let u(l) = 4*t(l) + y(l). Find h such that u(h) = 0.
0, 343
Let g be (0 - 0)/(266/133). Let h(s) be the third derivative of 0 + g*s**3 + 0*s**4 - 4*s**2 - 1/150*s**5 + 0*s + 1/300*s**6. Factor h(m).
2*m**2*(m - 1)/5
Let w(m) = 5*m**5 + 64*m**4 + 1305*m**3 + 12150*m**2 + 43742*m + 52490. Let p(j) = -2*j**5 - 2*j**4 - j - 1. Let i(n) = 2*p(n) + w(n). Factor i(o).
(o + 3)**2*(o + 18)**3
Let j(f) = 11*f**4 + 287*f**3 - 1875*f**2 + 3763*f - 13. Let p(q) = -7*q**4 - 172*q**3 + 1125*q**2 - 2258*q + 8. Let m(x) = -8*j(x) - 13*p(x). Factor m(c).
3*c*(c - 10)*(c - 5)**2
Let m(z) be the first derivative of -115/16*z**4 + 45/4*z - 68 + z**5 + 215/12*z**3 - 165/8*z**2. Let m(q) = 0. What is q?
3/4, 1, 3
Let i(t) be the first derivative of -t**6/120 - 19*t**5/40 - 9*t**4/4 - 238*t**3/3 - 59. Let u(d) be the third derivative of i(d). Find r, given that u(r) = 0.
-18, -1
Let c be (-180)/420*(-21)/540. Let w(h) be the third derivative of 5/3*h**3 + 0*h + 0 - c*h**5 - 3/8*h**4 + 6*h**2. Factor w(j).
-(j - 1)*(j + 10)
Let t = 600911 - 3605449/6. Suppose -235/6*z**2 - 38/3*z + 6 - 24*z**3 + 2/3*z**5 - t*z**4 = 0. Calculate z.
-2, -1, 1/4, 9
Let q = -39 - -53. Suppose -19*g = -q*g - 10. Factor -15*l + g*l**2 - 2 - 15*l + 29*l - l**2.
(l - 2)*(l + 1)
Let l(j) be the second derivative of -1/160*j**5 + 31/48*j**3 - 2 + 7/48*j**4 + j**2 - 8*j. Find c, given that l(c) = 0.
-1, 16
Factor 7456 + 482*k**4 - 14944*k + 6858*k**2 - 1997*k**2 + 592*k**2 - 2*k**5 - 3776*k**3 - 551*k**2 + 6346*k**2.
-2*(k - 233)*(k - 2)**4
Let r(z) be the third derivative of -z**6/300 + 19*z**5/75 + 41*z**4/60 - 26*z**3/5 + 7295*z**2. Factor r(u).
-2*(u - 39)*(u - 1)*(u + 2)/5
Let h(s) be the second derivative of s**7/28 - 11*s**6/60 - 39*s**5/40 - 7*s**4/8 + 4*s**3/3 + 3*s**2 + 70*s + 1. Find m, given that h(m) = 0.
-1, 2/3, 6
Let q be 11256/(-108) + (-4)/(-18). Let x = q + 145. Factor 24*b**2 + 27 - 86 - 9*b**3 + x + 15*b.
-3*(b - 3)*(b + 1)*(3*b - 2)
Let w = -757/162 - -662/81. Let 7/2*a - a**2 + 1 - w*a**3 = 0. Calculate a.
-1, -2/7, 1
Let y(i) = i**2 + i + 23. Let f be y(-6). Let z be f/91 - 27/63. Find b such that 0 + 2/13*b**3 - z*b**2 + 0*b = 0.
0, 1
Suppose 2*f - v - 54 = 0, 2*f - 3*v - 128 = -82. Suppose -3*w - f*w = -160. Let 0*s + 2/3*s**w + 4*s**3 + 0*s**2 + 10/3*s**4 + 0 = 0. What is s?
-3, -2, 0
Let f be (4 - 0)*170/22100. Let k(p) be the first derivative of -8/13*p - 24 - 4/13*p**2 + 1/13*p**4 + 2/13*p**3 - f*p**5. Solve k(h) = 0.
-1, 2
Factor -37532/3*j**2 + 25576*j - 2/3*j**4 - 184*j**3 - 38642/3.
-2*(j - 1)**2*(j + 139)**2/3
Factor 16*f + 30 - 1/2*f**3 - 1/2*f**2.
-(f - 6)*(f + 2)*(f + 5)/2
Suppose -46*w = 101*w - 28*w. Determine m so that -4/9*m - 2/9*m**4 + 0*m**3 + w + 2/3*m**2 = 0.
-2, 0, 1
Suppose 7*z = -11*z + 648. Factor z*r - 2626 - 4*r**2 - 2670 + 5332 - 4*r**3.
-4*(r - 3)*(r + 1)*(r + 3)
Let 999*o**3 - 3699/5*o + 78 + 7743/5*o**2 + 15*o**4 = 0. What is o?
-65, -2, 1/5
Suppose -12 = 12*s - 13*s. Suppose -3*i**2 + 3*i**2 + i**2 + 6*i - s - 5*i = 0. What is i?
-4, 3
Suppose 5*o - 1275 = 5*c, 2*o - 314 - 184 = -2*c. Let b be (-1 - -14)*(o/49 - 5). Factor -b*g**3 - 6/7*g**4 - 4/7*g - 12/7*g**2 - 1/7*g**5 + 0.
-g*(g + 1)**2*(g + 2)**2/7
Let s be (-1 - 10/12) + 2. Let b(y) be the third derivative of 1/6*y**6 - 2/21*y**7 + 0 - 25/24*y**4 + 5/336*y**8 - y**2 + 5/3*y**3 + s*y**5 + 0*y. Factor b(h).
5*(h - 2)*(h - 1)**3*(h + 1)
Factor 6*z**2 - 1805 - 11*z**2 + 245*z + 1565*z.
-5*(z - 361)*(z - 1)
Suppose -2*y = 4*g - 24, -182*g + 185*g - 5 = 5*y. Factor -6/7*j**y + 0 + 2/7*j**3 + 0*j.
2*j**2*(j - 3)/7
Let s(c) = c**3 + 17*c**2 + 16*c + 4. Suppose -28 = 3*m + 20. Let d be s(m). Factor -50*p**2 + p**4 - 3*p**3 + 2*p + 49*p**2 - 3*p**5 + d*p**5.
p*(p - 1)**2*(p + 1)*(p + 2)
Solve -29*i - 29*i + 11*i**2 - 54*i**2 + 17*i + 2 = 0 for i.
-1, 2/43
Let l(x) be the first derivative of x**6/36 + 2*x**5/15 + x**4/12 - 2*x**3/9 - x**2/4 + 4918. Factor l(k).
k*(k - 1)*(k + 1)**2*(k + 3)/6
Let u(k) be the third derivative of 0*k**4 + 13/3*k**3 - 3*k**2 + 0*k + 0*k**5 - 1/1440*k**6 + 0. Let t(g) be the first derivative of u(g). Factor t(n).
-n**2/4
Factor -10 - 2/21*g**2 - 212/21*g.
-2*(g + 1)*(g + 105)/21
Let v(i) be the second derivative of -i**5/120 - 61*i**4/72 - 1235*i**3/36 - 8303*i**2/12 - i + 770. Determine c, given that v(c) = 0.
-23, -19
Let u(f) be the first derivative of f**6/18 - 4*f**5/5 + 35*f**4/12 - 8*f**3/3 - 991. Factor u(l).
l**2*(l - 8)*(l - 3)*(l - 1)/3
Let g = 3239 + -3236. Let q(u) be the first derivative of -3/2*u - 3/2*u**g - 13 - 9/4*u**2 - 3/8*u**4. Find s, given that q(s) = 0.
-1
Let r(t) be the third derivative of -t**5/20 - 53*t**4/14 - 30*t**3/7 + 3*t**2 - 131*t. Solve r(q) = 0 for q.
-30, -2/7
Let w be (12/(-2016)*7)/((-40)/240). Determine x so that -1/8*x - 3/8*x**2 + w = 0.
-1, 2/3
Let r = 546901/15 + -36460. Let p(q) be the third derivative of 36