 f**5 + 75*f**4 + 59*f**3/3 - 48*f - 2. Let d(i) be the second derivative of k(i). Factor d(p).
2*(p + 30)**2
Let l(m) be the first derivative of -m**5/30 - 4*m**4/3 + 94*m**2 - 204. Let d(h) be the second derivative of l(h). Factor d(j).
-2*j*(j + 16)
Let z(m) be the second derivative of -2/5*m**6 + 0*m**3 - 3 + 0*m**4 + 4/21*m**7 + 0*m**2 - 6*m - 2/5*m**5. Factor z(n).
4*n**3*(n - 2)*(2*n + 1)
Let o(x) be the third derivative of x**5/180 - 2*x**4/9 - 40*x**3/9 - 4871*x**2. Factor o(q).
(q - 20)*(q + 4)/3
Let l(z) be the first derivative of -2/9*z**3 + 303 - z**2 + 20/3*z. Suppose l(w) = 0. Calculate w.
-5, 2
Let s(m) be the third derivative of -m**6/40 + 19*m**5/20 - 8*m**4 + 30*m**3 - 8149*m**2. Factor s(c).
-3*(c - 15)*(c - 2)**2
Let -758/3*d**2 + 122880 - 23296*d - 2/3*d**3 = 0. Calculate d.
-192, 5
Let y(c) = -3*c - 10. Suppose 0 = -0*o - 2*o + 5*r + 17, 5*r + 25 = 0. Let w be y(o). Factor d + 5*d**w + 13 - d**3 - 27 + 9.
-(d - 5)*(d - 1)*(d + 1)
Let j(k) be the second derivative of -135*k**4/4 + 120*k**3 - 160*k**2 - 401*k. Factor j(x).
-5*(9*x - 8)**2
Suppose -i + 4*x = 12, i - 3*x + 9 = -3*i. Let m = -1564569 + 6258277/4. Suppose i*u - m*u**2 + 1/4 = 0. Calculate u.
-1, 1
Let v = -2770 + 19447/7. Suppose 3/7*a**2 - 60/7*a + v = 0. What is a?
1, 19
Let w(l) be the first derivative of 0*l + 111 - 1/12*l**3 - 11/8*l**2. Factor w(s).
-s*(s + 11)/4
Factor -26/3*r - 28/3 + 2/3*r**2.
2*(r - 14)*(r + 1)/3
Determine f so that 98304/5 + 9216/5*f + 288/5*f**2 + 3/5*f**3 = 0.
-32
Let b(k) be the second derivative of -7 - 1/50*k**5 - 4*k + 17/5*k**3 + 26/5*k**2 + 4/5*k**4. Factor b(t).
-2*(t - 26)*(t + 1)**2/5
Let i(p) = -p**2 - 11*p - 8. Let a be i(-4). Determine b so that 15*b**3 - 18*b + 34*b + 25*b**2 - 5*b**4 - 31*b - a = 0.
-1, 1, 4
Let h = -229/59 - -517/118. Find z such that h*z**5 - 12*z**2 - 4*z**4 + 0 + 11*z**3 + 9/2*z = 0.
0, 1, 3
Let r be 16 + 12 + -18 + 1 + 4. Suppose -r*y + 0 - 5/2*y**3 + 25/2*y**2 = 0. What is y?
0, 2, 3
Let r(n) be the second derivative of -n**4/20 - 29*n**3/10 - 30*n**2 - 3785*n. Factor r(f).
-3*(f + 4)*(f + 25)/5
Let k(o) be the first derivative of 0*o + 61 - o**4 + 4*o**2 + 4/3*o**3. Determine l so that k(l) = 0.
-1, 0, 2
Let q be 18/(-21)*546/7605*-13. Factor 14/5*a**2 - q*a**3 - 8/5 + 2*a.
-2*(a - 4)*(a + 1)*(2*a - 1)/5
Let v(s) be the second derivative of s**7/63 + 4*s**6/45 + s**5/10 - 64*s + 37. Determine h so that v(h) = 0.
-3, -1, 0
Let b(z) be the first derivative of -1/6*z**3 + 5/2*z + z**2 - 34. Factor b(f).
-(f - 5)*(f + 1)/2
Let y(l) be the first derivative of -39*l**4/4 + 68*l**3 - 171*l**2/2 - 270*l + 4841. Factor y(t).
-3*(t - 3)**2*(13*t + 10)
Let l(r) be the first derivative of 1/4*r**2 + 3/16*r**4 - 44 + 0*r - 7/12*r**3. Factor l(j).
j*(j - 2)*(3*j - 1)/4
Let k(y) be the third derivative of 5*y**8/336 + 11*y**7/21 + 59*y**6/12 - 17*y**5/3 - 2035*y**4/24 - 605*y**3/3 + 1217*y**2. Suppose k(c) = 0. Calculate c.
-11, -1, 2
Let y(s) = -s**3 + 8*s**2 - 6*s. Let q be y(7). Let m be (0/(-1) - 1)*(-21)/q. Let 15*z**2 + 2*z - 3*z**2 - 7*z - 2*z**3 + z**5 - 3*z - m*z**4 = 0. What is z?
-2, 0, 1, 2
Let m(f) = -7*f - 2. Let p be (-2)/(-11) + (-312)/143. Let i be m(p). Determine z, given that 4*z + 8*z**3 + z**3 - 12 - 13*z**3 + i*z**2 = 0.
-1, 1, 3
Let b be 2*(15 + -11)*(-2)/(-8). Find a, given that 20*a**b + 20*a**4 - 5*a**5 - 8*a - 22*a**3 - 8*a**3 + 3*a = 0.
0, 1
Let r(a) be the third derivative of -a**6/360 - 7*a**5/90 + 91*a**4/72 + 340*a**3/9 + 3957*a**2. Factor r(p).
-(p - 8)*(p + 5)*(p + 17)/3
Let k be (0 + (-1728)/77)/(1436/(-5026)). Factor 150/11*d**2 + k + 720/11*d.
6*(5*d + 12)**2/11
Suppose -57*y - 25 = -62*y. Factor -y*u**4 + 256*u + 10*u**3 - 256*u.
-5*u**3*(u - 2)
Let c(b) = -2*b**3 + 17*b**2 + b + 24. Let z(t) = -4*t + 2. Let q(i) = 2*c(i) - 14*z(i). Factor q(n).
-2*(n - 10)*(n + 1)*(2*n + 1)
Determine n, given that -10549437*n**2 + 3 - 5*n**3 + 10548627*n**2 - 3 = 0.
-162, 0
Suppose 0 = 5*x - 598 + 608, 0 = 4*i - x - 10. Factor 14/3*p**i + 8 - 62/3*p.
2*(p - 4)*(7*p - 3)/3
Let m be 240/115 + (-78)/8073*9. Factor -5/3*l**m - 1/6*l + 1/6*l**3 + 5/3.
(l - 10)*(l - 1)*(l + 1)/6
Solve -776/9 - 202/9*f - 2/9*f**2 = 0.
-97, -4
Let g(w) = -325*w**2 - 31*w + 4. Let i be g(-2). Let m = -1230 - i. Determine a, given that -1/2*a**3 - 2*a + 8 - 6*a**2 + 1/2*a**m = 0.
-2, 1, 4
Let j(p) = -2*p + 5. Let i(n) = 3*n**2 - 4501*n + 4486. Let x(k) = i(k) + 4*j(k). Determine g, given that x(g) = 0.
1, 1502
Factor -2/5*p**3 + 320 - 192*p + 84/5*p**2.
-2*(p - 20)**2*(p - 2)/5
Let 15/2*k**4 + 140 - 295/2*k**2 + 835/2*k - 835/2*k**3 = 0. Calculate k.
-1, -1/3, 1, 56
Let u(g) be the first derivative of -3*g**5/5 - 51*g**4/2 + 73*g**3 + 51*g**2 - 216*g + 989. Let u(j) = 0. What is j?
-36, -1, 1, 2
Let p(v) = -5362*v - 150134. Let i be p(-28). Factor -2025/7*b - 135/7*b**i - 3/7*b**3 - 10125/7.
-3*(b + 15)**3/7
Suppose -280 = 26*i - 30*i. Factor 9*x**2 - 13*x - 24*x**2 + i*x - 6*x**2 + 18.
-3*(x - 3)*(7*x + 2)
Let p = 252 + -250. Let x = 46591/37276 + 1/9319. Factor 1/4*f**4 + 1/4*f**3 - 1/2 - 3/4*f**p - x*f.
(f - 2)*(f + 1)**3/4
Suppose 788*u + 1077 = 1419 + 2022. Determine r, given that 1/3*r**5 + 0 + 8/3*r**4 + 17/3*r**u + 0*r + 10/3*r**2 = 0.
-5, -2, -1, 0
Let g = -34/25 - -161/100. Let a(p) be the third derivative of -1/14*p**7 + 0 - 1/20*p**6 + 1/4*p**5 + g*p**4 + 0*p**3 + 0*p + 7*p**2. Factor a(u).
-3*u*(u - 1)*(u + 1)*(5*u + 2)
Let n(k) be the first derivative of -3*k**4/16 - 17*k**3 - 387*k**2/8 + 297*k/2 - 1559. Suppose n(c) = 0. Calculate c.
-66, -3, 1
Let j(w) be the first derivative of w**4/16 - 31*w**3/12 + 59*w**2/8 - 29*w/4 + 1368. Determine c, given that j(c) = 0.
1, 29
Let n(b) be the first derivative of -26 - 24*b - 1/75*b**6 + 0*b**5 + 0*b**2 + 2/15*b**3 + 1/10*b**4. Let c(x) be the first derivative of n(x). Factor c(r).
-2*r*(r - 2)*(r + 1)**2/5
Let t(l) be the third derivative of -5/24*l**4 + 0 - 1/120*l**6 + 1/3*l**3 + 1/15*l**5 + 0*l + 130*l**2. Factor t(q).
-(q - 2)*(q - 1)**2
Suppose 0 = -2*l - n - 19, -4*l + n - 32 = -9. Let b(j) = 8*j**2 - 25*j + 74. Let v(x) = -7*x**2 + 24*x - 75. Let y(r) = l*v(r) - 6*b(r). Solve y(o) = 0 for o.
9
Let t(g) be the third derivative of -8/51*g**3 + 90*g**2 + 0 + 1/34*g**4 + 0*g - 1/510*g**5. Factor t(k).
-2*(k - 4)*(k - 2)/17
Factor -2*z**2 - 1/9*z**3 - 32/3 - 80/9*z.
-(z + 2)*(z + 4)*(z + 12)/9
Suppose 0 + 0*z**2 + 9/5*z**3 - 1/5*z**4 + 0*z = 0. What is z?
0, 9
Let c(u) = -u**2 - 3*u + 4. Let k be c(-3). Let -2*f**5 + 7*f**3 + 98*f**k + f**3 - 104*f**4 = 0. What is f?
-4, 0, 1
Factor 3*m**3 + 56*m + 42 + 47*m**2 + 40*m + 36 + m**2 + 27*m.
3*(m + 1)*(m + 2)*(m + 13)
Determine q so that -2/5*q**3 - 56/5*q**2 - 274/5*q - 44 = 0.
-22, -5, -1
Let f(o) be the third derivative of -o**7/840 + 199*o**6/480 + 1569*o**2. Factor f(y).
-y**3*(y - 199)/4
Let w(j) be the second derivative of 0 - 2/5*j**6 + 128*j - 5/3*j**4 + 6/5*j**5 + j**3 + 0*j**2 + 1/21*j**7. What is a in w(a) = 0?
0, 1, 3
Suppose 19*d = 8*d - 11. Let w(z) = -35*z**3 - 540*z**2 - 3765*z + 965. Let s(q) = q**3 - q**2 - q + 1. Let l(k) = d*w(k) - 15*s(k). Find h such that l(h) = 0.
-14, 1/4
Let x(g) be the first derivative of 22*g + 1/4*g**3 + 86 - 67/4*g**2. Factor x(n).
(n - 44)*(3*n - 2)/4
Let h = 426969/5 + -84360. Let y = 1035 - h. Determine w, given that -2/5*w**2 + w**5 - y + 19/5*w - 24/5*w**3 + 8/5*w**4 = 0.
-3, -1, 2/5, 1
Let p = -14 - -16. Suppose 0 = 5*c - 3*s + 2*s - 20, p*s = 2*c. Factor x**5 + 3*x**5 + 0*x**c.
4*x**5
Let d be 2632/(-282)*(1*(-5)/(10/7) - -3). Solve 0 - d*o**2 + 2/3*o**3 + 20/3*o = 0.
0, 2, 5
Let q be (45/(-75))/((-9)/27). Let g = 38/55 + -1/11. Factor q*f**2 - g*f - 6/5.
3*(f - 1)*(3*f + 2)/5
Suppose 26*y = 22 + 56. Let a(s) = 3*s**2 - 1. Let x be a(-1). Factor 25*f - 3*f**5 - 20*f**y + 2 - 20*f**4 - x*f**5 + 6 + 2 + 10*f**2.
-5*(f - 1)*(f + 1)**3*(f + 2)
Let n(p) be the first derivative of -2*p**5/5 - 154*p**4 + 2*p**3/3 + 308*p**2 + 2465. Factor n(a).
-2*a*(a - 1)*(a + 1)*(a + 308)
Let a(l) be the second derivative of l**5/120 + 61*l**4/72 + 1613*l. Let a(s) = 0. Calculate s.
-61, 0
Let h = 60649/15 + -4043. Let n(y) be the second derivative of -h*y**3 + 1/5*y**4 + 0 - 21*y + 0*y**2. Factor n(w).
4*w*(3*w - 2)/5
Factor -181/4*p + 1/4*p**3 - 267/4 + 87/4*p**2.
(p -