5*z**2 - 1320*z. Let m(b) = -n(b) - 12*q(b). Factor m(d).
3*(d + 2)*(215*d + 2)
Let a(n) be the third derivative of 95443993*n**7/525 + 190261439*n**6/300 - 417241*n**5/50 + 2741*n**4/60 - 2*n**3/15 - n**2 + 267. What is f in a(f) = 0?
-2, 1/457
Let m(v) be the third derivative of 0 - 1/60*v**5 - 11*v**2 + 5/12*v**4 + 0*v - 25/6*v**3. Factor m(q).
-(q - 5)**2
Let m(n) be the second derivative of -n**5/40 - 107*n**4/24 + 55*n**3/6 + 54*n**2 - 5*n + 30. Factor m(x).
-(x - 2)*(x + 1)*(x + 108)/2
Factor 704 + 175*y + 201 + 5*y**2 + 345.
5*(y + 10)*(y + 25)
Let w(l) be the third derivative of 0 + 1/12*l**6 + 0*l**3 + 0*l**4 + 0*l - 30*l**2 + 2/5*l**5. Factor w(f).
2*f**2*(5*f + 12)
Let h(j) be the third derivative of -j**7/1260 - j**6/72 + j**5/45 + 31*j**3/6 + 69*j**2. Let a(q) be the first derivative of h(q). Let a(u) = 0. Calculate u.
-8, 0, 1/2
Let h(q) be the first derivative of 1/4*q**2 + 22 + 1/6*q**3 - 1/8*q**4 - 1/2*q. Factor h(r).
-(r - 1)**2*(r + 1)/2
Let c(g) = 36*g - 44. Let q be c(-5). Let v = q - -227. Determine d, given that -9/4*d**2 - 3/2*d**4 - v*d + 27/4*d**3 + 0 = 0.
-1/2, 0, 1, 4
Let v = 62011 + -186031/3. Let 1/2*n + v*n**2 + 1/6*n**3 + 0 = 0. Calculate n.
-3, -1, 0
Let z = -22657/3 - -113288/15. Factor z*d**2 + 441/5 - 42/5*d.
(d - 21)**2/5
Let s be 15/25*565/(-1017)*(0 + 0). Determine h, given that s - 16/13*h**2 + 2/13*h + 32/13*h**3 = 0.
0, 1/4
Let c be ((-900)/(-3900))/((-1)/78*-9). Determine j, given that 2/3*j**3 + 1798/3*j - 1682/3 - 118/3*j**c = 0.
1, 29
Let c = 565 + -563. Let o(j) = 2*j**3 - 3*j**2 - 4. Let a be o(c). Factor a + 0*v + 3/2*v**4 - 2*v**2 + 1/2*v**5 + 0*v**3.
v**2*(v - 1)*(v + 2)**2/2
Let m(n) = 33*n**3 + 1984*n**2 + 1081*n - 874. Let u(w) = -234*w**3 - 13887*w**2 - 7566*w + 6117. Let a(j) = 15*m(j) + 2*u(j). Factor a(z).
3*(z + 1)*(z + 73)*(9*z - 4)
Let k(g) be the third derivative of g**6/90 - 7*g**5/15 - 5*g**4/2 - 76*g**3/3 - 97*g**2 + 2. Let v(w) be the first derivative of k(w). Factor v(m).
4*(m - 15)*(m + 1)
Let t be (((-50)/4)/5)/(45/(-54)). Let j(s) be the first derivative of 1/11*s**2 - 2/33*s**t + 12/11*s - 21. Find o, given that j(o) = 0.
-2, 3
Let v(a) be the third derivative of -25*a**7/63 - 265*a**6/9 + 224*a**5 - 684*a**4 + 1104*a**3 + a**2 + 79*a + 8. Factor v(i).
-2*(i + 46)*(5*i - 6)**3/3
Let c(u) be the second derivative of 1/72*u**4 + 1/120*u**5 + 13*u - 1/6*u**3 + 0*u**2 - 3. Factor c(m).
m*(m - 2)*(m + 3)/6
Let w(x) be the first derivative of -90*x**2 + 50*x**3 - 15/2*x**6 - 130 + 40*x + 125/4*x**4 - 18*x**5. Let w(v) = 0. What is v?
-2, 1/3, 2/3, 1
Solve -3*n - 11*n - 236*n**3 + 9*n + 18*n**2 + 234*n**3 - 11*n = 0 for n.
0, 1, 8
Determine o so that 48/5*o + 52/5*o**2 + 0 + 4/5*o**3 = 0.
-12, -1, 0
Let v(w) = -7*w - 62. Let h be v(-9). Let d(i) = i**2 + 3*i - 4. Let z be d(-4). Factor -2*y**2 + z + y**2 - 3 - h + 5*y.
-(y - 4)*(y - 1)
Determine w, given that 5444*w + w**3 + 23*w**4 + 24 - 24*w**4 + 22*w**2 - 5400*w = 0.
-2, -1, 6
Let a(x) = 60*x**3 - 9 + 66*x + 40*x**2 - 16 - 91*x + 0. Let n(d) = -7*d**3 - 5*d**2 + 3*d + 3. Let s(q) = -3*a(q) - 25*n(q). Find f, given that s(f) = 0.
0, 1
Let d(g) be the second derivative of g**6/90 + 31*g**5/4 - 233*g**4/18 - 1652*g. Solve d(c) = 0 for c.
-466, 0, 1
Let l be (12/10)/(-5 - 1612/(-320)). Let h be 270/(-315)*l/(-6). Suppose h*y + 64/7 + 4/7*y**2 = 0. Calculate y.
-4
Let d(v) be the first derivative of -2*v**3/69 + 20*v**2/23 + 6*v + 157. Factor d(l).
-2*(l - 23)*(l + 3)/23
Let c be (21/9*2)/((-2)/(-3)). Factor 2*t**2 + c + 14*t - 13 - 30.
2*(t - 2)*(t + 9)
Let 684*l - 35*l**2 + 47*l**2 - 2016 + 16*l**2 - 32*l**2 = 0. Calculate l.
3, 168
Let z(s) be the third derivative of -1/24*s**6 - 9*s + 2*s**2 + 1/2*s**5 + 0*s**3 - 15/8*s**4 + 0. Let z(n) = 0. What is n?
0, 3
Let r(k) be the first derivative of 5/4*k - 1/24*k**6 + 65 + 1/20*k**5 + 7/8*k**4 + 19/8*k**2 + 13/6*k**3. Factor r(y).
-(y - 5)*(y + 1)**4/4
Let s be (1/8)/(3669/14676). Find h, given that -s*h**4 - h + 0 - 5/2*h**2 - 2*h**3 = 0.
-2, -1, 0
Suppose 24*c - 17*c = -28. Let s be (-43)/(-28) - (c - (-150)/35). Factor s*k**5 + 5/2*k**2 + 5/4*k - 5/2*k**3 - 5/4 - 5/4*k**4.
5*(k - 1)**3*(k + 1)**2/4
Suppose -4*u = 5*q - 66, -3*q = 21*u - 16*u - 37. Suppose q*d + 70 = 49*d. What is k in -8/3 - 2/3*k**d - 10/3*k = 0?
-4, -1
Let h(m) = 64*m - 1564. Let c be h(25). Suppose 2*l + 2*g - 406 = 0, 2*g = l + g - 201. Solve 222 + c*f + 5*f**2 - 11*f - l = 0 for f.
-4, -1
Let w be 32/(-100)*(-1265)/2. Let s = w - 200. Let s*x - 9/5*x**3 + 0*x**2 + 0 + 3/5*x**4 = 0. What is x?
-1, 0, 2
Let w be ((1 - 1489/45)/2)/(33/36 - 1). Factor 152/15*z + 2/15*z**2 + w.
2*(z + 38)**2/15
Suppose 0 = 5*g + 5*z - 125, 3*g - 25 = -4*z + 45. Determine k so that -130*k + 100*k**3 - 118 + 16 + 840*k**2 + g*k**3 - 743 + 5*k**4 = 0.
-13, -1, 1
Find w such that 0 + 25/2*w**4 - 51/4*w - 25/2*w**2 - 1/4*w**5 + 13*w**3 = 0.
-1, 0, 1, 51
Let p(f) be the first derivative of f**4/48 + 37*f**3/18 + 73*f**2/24 + 7955. Factor p(d).
d*(d + 1)*(d + 73)/12
Let h = 259 + -257. Suppose -h*d + 6 = 0, 3*f = -2*f + 2*d + 14. Factor 4/5*v - 2/5*v**5 - 2*v**2 + 6/5*v**3 + 2/5*v**f + 0.
-2*v*(v - 1)**3*(v + 2)/5
Let k(s) be the second derivative of -s**5/50 - 3*s**4/10 - 4*s**3/3 + 1178*s - 2. Determine l so that k(l) = 0.
-5, -4, 0
Let x(t) = -t**3 - 5*t**2 + 5*t - 1. Let i be x(-6). Suppose 13 = 3*y - 5*v, y - 5 = -4*v + i. Factor -1 - q**3 + 11*q**3 + q - 5*q**3 - y*q**3 + q**2.
-(q - 1)**2*(q + 1)
Factor 67*k**2 - 217*k**2 - 284*k + 4*k**3 - 183*k**2 + 61*k**2 + 552.
4*(k - 69)*(k - 1)*(k + 2)
Let j(t) be the second derivative of -2*t**5/15 + 5*t**4 - 75*t**3 + 1125*t**2/2 - 3*t + 611. Factor j(p).
-(2*p - 15)**3/3
Let l(v) be the third derivative of -v**6/300 - 313*v**5/75 - 1249*v**4/60 - 208*v**3/5 - v**2 - v + 9. Factor l(q).
-2*(q + 1)**2*(q + 624)/5
Let u(z) be the second derivative of 48/5*z**2 - 2/3*z**3 - 1/15*z**4 - 9*z - 3. Determine c, given that u(c) = 0.
-8, 3
Let q(c) = -26*c. Let w be q(1). Let n be (3/(-45))/(13/w). Determine t, given that 4/5 - 2/5*t**3 + 22/15*t - n*t**4 + 2/5*t**2 = 0.
-3, -1, 2
Let 1956 - 9160*n**4 - 1956 + 1348*n**3 - 35*n**5 + 1272*n**3 = 0. Calculate n.
-262, 0, 2/7
Let u(o) be the third derivative of o**6/16 - o**5/10 - o**4/16 + o**2 + 211*o. Find l, given that u(l) = 0.
-1/5, 0, 1
Let l(k) be the first derivative of k**4/2 + 20*k**3/3 - 81*k**2 - 180*k - 1710. Solve l(n) = 0.
-15, -1, 6
Suppose 447 = 9*i + 348. Let x(s) be the first derivative of -i + 0*s**2 - 1/6*s**4 + 1/9*s**3 + 1/15*s**5 + 0*s. Factor x(q).
q**2*(q - 1)**2/3
Let h(n) be the third derivative of 0*n + 0*n**3 + 1/100*n**6 + 15 + n**2 + 0*n**4 - 7/25*n**5. Determine j, given that h(j) = 0.
0, 14
Let v(z) be the first derivative of -z**3 - 3*z**2 + 360*z - 1932. Factor v(d).
-3*(d - 10)*(d + 12)
Let f(m) be the first derivative of -m**6/90 + 7*m**5/15 - 13*m**4/6 + 60*m**3 - 164. Let r(d) be the third derivative of f(d). Let r(x) = 0. What is x?
1, 13
Let c(n) be the first derivative of 2*n**5/95 - 85*n**4/38 + 1232*n**3/19 - 1764*n**2/19 - 2444. Factor c(h).
2*h*(h - 42)**2*(h - 1)/19
Factor -39*u**2 - 2628*u + 12*u**2 + 6*u**2 + 13*u**2 + 12*u**2 - 2632.
4*(u - 658)*(u + 1)
Let t be (-4)/6 + 1775/(-15)*-5. Let c = -174 + t. Factor -6 + 408*q - c*q + 3*q**2 + 0*q**3 + 9*q**3 + 3*q**4.
3*(q - 1)*(q + 1)**2*(q + 2)
Factor -2/3*x**3 + 0 + 37/3*x - 73/3*x**2.
-x*(x + 37)*(2*x - 1)/3
Let o(g) be the second derivative of -5*g**7/7 + 77*g**6/15 + 8*g**5 - 82*g**4 - 416*g**3/3 + 64*g**2 - 7307*g. Determine x so that o(x) = 0.
-2, -1, 2/15, 4
Let f = 25 + -23. Find a such that 5 - 4*a + 19*a + 5*a**3 + 9*a**f + 6*a**2 = 0.
-1
Find k such that -3828/23 - 2/23*k**2 + 650/23*k = 0.
6, 319
Let f(u) be the first derivative of u**6/1980 - u**5/220 - u**4/33 + 212*u**3/3 - 134. Let s(d) be the third derivative of f(d). What is k in s(k) = 0?
-1, 4
Let m(t) = -13*t**2 + 16*t - 22 - 4*t**2 + 5*t**2 - t**3 + 25*t**2. Let i be m(14). Solve -36*d + 81*d - i*d**2 + 2*d**3 - 41*d = 0 for d.
0, 1, 2
Let j(k) = 4*k**4 - 28*k**3 + 9*k**2 - 8*k + 4. Let d(g) = -4*g**4 + 30*g**3 - 7*g**2 + 9*g - 5. Let u(v) = 4*d(v) + 5*j(v). Suppose u(o) = 0. Calculate o.
0, 1/2, 4
Let c(i) be the third derivative of i**5/12 + 280*i**4/3 + 745*i**3/2 - 1593*i