/3*j**4 - 20/3*j**t - 16/3*j - 8/3*j**3.
-j*(j + 2)**2*(j + 4)/3
Let o be (-31)/((-155)/50) + 41/(-5). Determine t so that 3/5*t**5 - 3*t**3 + 12/5*t - o*t**2 + 9/5*t**4 + 0 = 0.
-4, -1, 0, 1
Let q(f) be the second derivative of f**5/4 + 35*f**4/6 + 50*f**3 + 180*f**2 + 5369*f. Factor q(o).
5*(o + 2)*(o + 6)**2
Let k(l) be the first derivative of 16/15*l + 1/30*l**4 + 29 - 2/5*l**2 - 2/15*l**3. Solve k(q) = 0.
-2, 1, 4
Let d(a) be the third derivative of -a**7/1470 + 59*a**6/1260 + 2*a**5/21 + a**4/3 + 25*a**2. Let t(f) be the second derivative of d(f). Factor t(r).
-4*(r - 20)*(3*r + 1)/7
Let m(d) be the first derivative of -4*d**3/9 + 916*d**2/3 - 209764*d/3 - 3961. Factor m(v).
-4*(v - 229)**2/3
Let d(z) be the first derivative of -30*z + 21/2*z**2 - z**3 - 72. Factor d(q).
-3*(q - 5)*(q - 2)
Let b(f) be the first derivative of -2*f**3/21 + 1597*f**2/7 + 3196*f/7 + 12890. Let b(v) = 0. Calculate v.
-1, 1598
Let c(a) = -517 + 517 - a**3 + a**2. Let u(w) = -12*w**3 + 10*w**2 + 2*w. Let t(m) = 18*c(m) - 2*u(m). Factor t(z).
2*z*(z - 1)*(3*z + 2)
Suppose -3*h = 5*w - 52, 5*w - 5*h - 56 = -9*h. Let -2*j**4 + j**2 + w - 7*j**2 + 27*j + 0*j**2 - 19*j - 8*j**3 = 0. What is j?
-2, -1, 1
Let o = 46 + -37. Find q such that -2*q**2 - 4*q + 23 + o*q**2 - 11*q**2 - 15 = 0.
-2, 1
Let i(q) be the first derivative of 0*q + 15/2*q**4 + 0*q**2 - 53 - 25/3*q**3 - q**5. Determine j, given that i(j) = 0.
0, 1, 5
Suppose 0 = 65*n - 67*n + 4. Let 4*f**4 + 58*f + 28*f**3 + 10*f - 24*f**2 + 24 + 105*f**2 - 13*f**n = 0. What is f?
-3, -2, -1
Let h(m) be the third derivative of m**7/210 - 2*m**6/45 + m**5/10 - 25*m**3/6 - 11*m**2 - 2. Let q(p) be the first derivative of h(p). Let q(z) = 0. What is z?
0, 1, 3
Find c, given that 99*c**2 + 77617*c + 69*c**2 - 78017*c - 256 + 118*c**4 + 6*c**5 + 364*c**3 = 0.
-16, -2, -2/3, 1
Let d(k) be the second derivative of 1/20*k**5 - 17 - 1/90*k**6 + 0*k**2 + 0*k**4 + k - 2/9*k**3. Factor d(m).
-m*(m - 2)**2*(m + 1)/3
Let a = -3725/24 + 3737/24. Suppose -a*f**2 - 13/10*f**3 + 0*f - 3/10*f**5 - 11/10*f**4 + 0 = 0. What is f?
-5/3, -1, 0
Let b be 2 + (-76)/(-16) - 41/(-164). Let k be 60/27*(b - 200/32). Let -8/3*m - 16 + k*m**2 + 1/3*m**3 = 0. Calculate m.
-4, 3
Let m(x) = 149*x - 143. Let f be m(1). Let a(h) be the second derivative of 2*h**2 + 0 + 6*h - 3/10*h**5 - 1/15*h**f - 1/6*h**4 + h**3. Factor a(p).
-2*(p - 1)*(p + 1)**2*(p + 2)
Let p(d) = d**5 + 2*d**4 - 5*d**2 + d - 1. Let o(u) = -5*u**5 - 10*u**4 + 43*u**3 + 64*u**2 - 88*u + 4. Let k(b) = -3*o(b) - 12*p(b). What is y in k(y) = 0?
-7, -2, 0, 1, 6
Let -1528*d - 2352*d + 2909858 + 853742 + d**2 = 0. What is d?
1940
Let b be (-8892)/1820 - 858/(-130). Determine w, given that 2/7*w - 2/7*w**3 - b*w**2 + 12/7 = 0.
-6, -1, 1
Let l(d) be the third derivative of d**6/48 + 331*d**5/24 + 45925*d**4/16 + 45375*d**3/4 - 13962*d**2. Determine j, given that l(j) = 0.
-165, -1
Suppose 30*f = 28*f + 6. Determine k, given that 62*k**f + 12*k**2 - 12 - 30*k**3 - 3*k - 29*k**3 = 0.
-4, -1, 1
Factor 1103*r**2 + 319 + 2447*r**2 - 109 - 235*r**2 + 4735*r + 1425*r**2 + 215*r**3.
5*(r + 1)*(r + 21)*(43*r + 2)
Let f(v) be the third derivative of 1/6*v**4 + 4/45*v**5 + 0*v**3 - 23*v + 1/630*v**7 + 2*v**2 + 0 + 7/360*v**6. Factor f(n).
n*(n + 2)**2*(n + 3)/3
Let k(o) be the third derivative of 0 + 17/100*o**5 + 23*o + 13/40*o**4 + 4/15*o**3 + o**2 - 1/350*o**7 + 17/600*o**6. Solve k(r) = 0 for r.
-1, -1/3, 8
Let d be (-1064)/(-114) - 2/(-3). Solve -x + 4*x**2 - 42 - d*x - 9*x + 18 = 0 for x.
-1, 6
What is i in -1/2*i**3 - 3/2*i**2 + 0*i + 0 = 0?
-3, 0
Let w(o) be the first derivative of -o**6/60 - 11*o**5/50 - 23*o**4/20 - 3*o**3 - 81*o**2/20 - 27*o/10 - 307. Factor w(a).
-(a + 1)**2*(a + 3)**3/10
Let l(v) = -v**3 - 3*v**2 - 255*v. Let a be l(0). Factor 5/2*j - 1/2*j**2 + a.
-j*(j - 5)/2
Let c = 572/71 - 655/284. Suppose c*i + 1/4*i**3 - 11/4 - 13/4*i**2 = 0. Calculate i.
1, 11
Suppose 56*n - 69*n = -39. Factor 191*d**2 + 14*d - 10*d**n + 8*d**4 - 8*d - 195*d**2.
2*d*(d - 1)**2*(4*d + 3)
Let z = -3463/6 + 1155/2. Let t(s) be the first derivative of 13 - 2*s - 1/2*s**2 + z*s**3. Factor t(o).
(o - 2)*(o + 1)
Let i(w) = -60*w**4 + 85*w**3 + 90*w**2 - 11. Let a(s) = 11*s**4 - 17*s**3 - 18*s**2 + 2. Let l(f) = -11*a(f) - 2*i(f). Let l(v) = 0. Calculate v.
-1, 0, 18
Let y(n) be the third derivative of 0 + 7/6*n**4 - 1/30*n**6 + 0*n**3 - 128*n**2 - 2/5*n**5 + 0*n. Factor y(h).
-4*h*(h - 1)*(h + 7)
Let p(v) be the first derivative of -v**6/21 + 6*v**5/5 - 135*v**4/14 + 162*v**3/7 + 1817. Determine x, given that p(x) = 0.
0, 3, 9
Let z = 19204 - 19150. Factor 6*q - z - 1/6*q**2.
-(q - 18)**2/6
Factor -478*a + 64*a**3 - 125 + 12*a**3 + 192*a**2 + 4*a**4 + 61 - 192 + 462*a.
4*(a - 1)*(a + 2)**2*(a + 16)
Find m such that -8*m**3 + 6*m**3 - 8*m**3 - 591*m**4 + 86*m**4 = 0.
-2/101, 0
Let j(n) be the third derivative of n**7/504 + 5*n**6/144 + n**4/6 + n**3/6 + 8*n**2 - 5*n. Let i(f) be the second derivative of j(f). Factor i(k).
5*k*(k + 5)
Let z(l) be the third derivative of 2/5*l**5 + 0 + 2/3*l**4 + 69*l**2 - 16/3*l**3 + 2/105*l**7 + 0*l - 1/6*l**6. Let z(n) = 0. Calculate n.
-1, 2
Let b = -1/4443 + 4448/22215. Factor -2/5*h**4 - b*h**5 + 4/5*h**2 + 0 - 4/5*h + 3/5*h**3.
-h*(h - 1)**2*(h + 2)**2/5
Let y(d) be the third derivative of d**6/30 - 3*d**5/5 - 8*d**4/3 + 40*d**3 - 2*d**2 - 317*d - 4. Factor y(w).
4*(w - 10)*(w - 2)*(w + 3)
Let o = 6994 + -6992. Let a(r) be the second derivative of 5/28*r**4 + 1/2*r**3 + 13*r + 0 + 9/14*r**o + 3/140*r**5. Find d, given that a(d) = 0.
-3, -1
Let l = 871 - 865. Let x be -3 + l - 76/28. Determine j, given that -2/7*j + 0 - x*j**2 = 0.
-1, 0
Let u = -1100/69 + 382/23. Let i be -3 - (-3 + 3) - (-17)/3. Determine z, given that 8/3 + u*z**2 + i*z = 0.
-2
Let g(v) be the first derivative of -v**3/3 + 13*v**2 - 153*v + 607. Find k, given that g(k) = 0.
9, 17
Let j be (-2712)/(-19584) - 2/17. Let m(o) be the second derivative of 0 - 3/8*o**2 + 10*o + j*o**4 - 1/12*o**3. Factor m(s).
(s - 3)*(s + 1)/4
Suppose 38 = -31*w + 100. Factor 136 - 2*y**2 + w*y - 28*y - 34*y - 2*y**2.
-4*(y - 2)*(y + 17)
Let b(s) = -31*s**4 + 6*s**3 + 24*s**2 - 61*s + 20. Let a(j) = -22*j**4 + 4*j**3 + 16*j**2 - 41*j + 13. Let k(u) = 7*a(u) - 5*b(u). Factor k(o).
(o - 3)*(o - 1)**2*(o + 3)
Let m be 59/21 - 344/129. Let d = 316/7 - 45. Factor -m*z**3 - d*z**2 + 4/7 + 4/7*z.
-(z - 2)*(z + 1)*(z + 2)/7
Let n(h) be the third derivative of h**5/30 + 2*h**4 - 217*h**3/3 + 5*h**2 - 120*h + 1. Factor n(z).
2*(z - 7)*(z + 31)
Factor -1873*l**3 - 13*l**2 + 49*l**2 + 1877*l**3 + 60 + 92*l.
4*(l + 1)*(l + 3)*(l + 5)
Let z be -32 - (-7339)/164*1. Suppose 57/4*a**2 - 3/2 - z*a = 0. Calculate a.
-2/19, 1
Let 0 + 1030/3*w - 4637/3*w**2 + 3614/3*w**3 - 7/3*w**4 = 0. What is w?
0, 2/7, 1, 515
Suppose n = 5*v - 267, v - 6*n - 45 = -3*n. Suppose 50 = 22*a + 3*a. Find p, given that -18*p**2 + 5*p**3 + 16*p**3 + v*p**a - 12 + 21*p**2 + 24*p = 0.
-2, -1, 2/7
Let z(j) be the first derivative of j**4/18 + 268*j**3/27 + 88*j**2/3 - 4200. Find u such that z(u) = 0.
-132, -2, 0
Suppose -64 - 96 - 2 = -54*h. Let f(l) be the first derivative of 2/3*l**3 + 1/8*l**4 - h*l + 15 + 1/4*l**2. Factor f(s).
(s - 1)*(s + 2)*(s + 3)/2
Let k be 2 + 9*(1 + (-10)/6). Let j be -1 - (k + (-2 + -2 - -4)). Factor -9*h + 5*h + 2*h - h**3 - j*h**2.
-h*(h + 1)*(h + 2)
Let z(b) be the first derivative of b**4/8 - 4*b**3/3 + 7*b**2/4 - 2272. What is r in z(r) = 0?
0, 1, 7
Suppose 132*d + 11 = 4*r + 135*d, -3*r + 2*d = -4. Let l(a) be the first derivative of 15*a**3 - 7 + 5/4*a**4 + 135*a + 135/2*a**r. Find b, given that l(b) = 0.
-3
Solve -48/5*p**2 + 9/5*p**5 - 12/5*p - 33/5*p**3 + 0 + 12/5*p**4 = 0 for p.
-2, -1, -1/3, 0, 2
Let w = 2587 + -2485. Let i(x) be the first derivative of -w*x**5 - 25/2*x**6 + 0*x - 15 - 54*x**2 - 204*x**3 - 1047/4*x**4. Factor i(j).
-3*j*(j + 3)**2*(5*j + 2)**2
Let k(r) = 2987*r - 2982. Let f be k(1). Let b(g) be the third derivative of 0 - 2/33*g**3 + 8*g**2 + 5/132*g**4 - 2/165*g**f + 0*g + 1/660*g**6. Factor b(z).
2*(z - 2)*(z - 1)**2/11
Let f(h) be the second derivative of h**6/120 - 3*h**5/80 - 49*h**4/48 - 15*h**3/8 + 22*h - 47. Factor f(c).
c*(c - 9)*(c + 1)*(c + 5)/4
Let q = 269 - 264. Factor 44 - 155*d - q*d**2 + 