f, given that d(f) = 0.
1, 36
Let x(o) be the first derivative of 7/3*o**2 - 280 - 1/9*o**3 + 17*o. Factor x(p).
-(p - 17)*(p + 3)/3
Let d be (-5 + 763)*2/4. Factor 183*o - d*o + 5*o**2 + 191*o.
5*o*(o - 1)
Let d(l) be the third derivative of l**5/90 - 3631*l**4/18 + 13184161*l**3/9 - l**2 + 744. Determine u so that d(u) = 0.
3631
Suppose -17*u + 20*u = -306. Let j = 594 + u. Suppose j*q + 1 + 3*q**4 - 489*q + 5 - 3*q**3 - 9*q**2 = 0. Calculate q.
-1, 1, 2
Factor -275*o + 45*o**2 + 4109618 - 4109618.
5*o*(9*o - 55)
Let i be (54 + -40 - 304/6)/(-2). Find s such that i*s - 5/3*s**2 + 0 = 0.
0, 11
Find s such that 0 + 2/3*s**2 + 38/3*s**3 - 38/3*s - 2/3*s**4 = 0.
-1, 0, 1, 19
Let 99/4 - 9/8*i**3 + 39/2*i**2 - 645/8*i = 0. What is i?
1/3, 6, 11
Let d(g) be the first derivative of 3*g**2 + 2/3*g**3 - 36*g + 1/18*g**4 + 14. Let i(t) be the first derivative of d(t). Find s such that i(s) = 0.
-3
Suppose -54*i + 6584 = -62*i. Let x = i - -827. Solve -364/5*l**2 - 464/5*l**3 - 268/5*l**x - 56/5*l**5 - 16/5 - 128/5*l = 0 for l.
-2, -1, -1/2, -2/7
Let g(y) be the third derivative of -y**7/420 - y**6/10 - 31*y**5/24 - 11*y**4/4 + 4*y**2 + 286*y. Factor g(l).
-l*(l + 1)*(l + 11)*(l + 12)/2
Let m be (10 - 209/22)/(14/56). Factor 48/5*a**3 + 504/5*a**m + 243/5*a + 6.
3*(a + 10)*(4*a + 1)**2/5
Let j = 89777 + -89775. Solve 3*d - 1/2*d**j - 5/2 = 0.
1, 5
Find r such that -2/15*r**3 + 32 - 646/15*r + 56/5*r**2 = 0.
1, 3, 80
Let w(l) be the second derivative of l**9/60480 - l**7/10080 + 25*l**4/3 + l - 2. Let o(x) be the third derivative of w(x). Let o(v) = 0. What is v?
-1, 0, 1
Let o(u) be the third derivative of -u**7/840 + 79*u**6/240 - 6397*u**5/240 + 1027*u**4/8 - 507*u**3/2 + 11*u**2 - 13*u. Factor o(y).
-(y - 78)**2*(y - 1)**2/4
Let w be ((-20)/16)/5*(-30 + 22). Let 0*k**w - 21 + 523*k + 2*k**2 - 503*k - k**2 = 0. What is k?
-21, 1
Let g = -346 - -116261/336. Let x(o) be the third derivative of 0*o**4 + 0*o**7 + 0*o**5 - 1/24*o**6 + 0*o**3 + 0*o + g*o**8 + 0 - 8*o**2. Factor x(c).
5*c**3*(c - 1)*(c + 1)
Let l = 72 - 68. Suppose -f - 5*o + 28 = 3*f, -3*f - 10 = -l*o. Factor 60*b**3 - 327*b**f - 74*b**4 + 70*b**4 + 27*b**2 + 500*b.
-4*b*(b - 5)**3
Let l = -156 - -158. Factor -5*t**3 + 8*t - 3*t**3 - 4*t**2 - l*t**4 - 3 + 13 - 4.
-2*(t - 1)*(t + 1)**2*(t + 3)
Let 217/2*c**3 - 431/2*c**2 + 0 - 1/2*c**4 + 215/2*c = 0. Calculate c.
0, 1, 215
Let w be -2 + (-4)/24*-9 - (-126)/140. Let k(l) be the first derivative of -2/5*l**3 + 1/10*l**4 + w*l**2 - 23 + 0*l. Factor k(o).
2*o*(o - 2)*(o - 1)/5
Let z(q) be the first derivative of 1/4*q**4 + 0*q + 47 + 1/6*q**3 + 1/10*q**5 + 0*q**2. Factor z(s).
s**2*(s + 1)**2/2
Let r(p) = 28*p**2 - 16 - 12 - 10*p**3 - 28*p + 24 - 6*p**4. Let a(i) = -4*i**4 - 11*i**3 + 29*i**2 - 27*i - 3. Let x(o) = 4*a(o) - 3*r(o). Factor x(l).
2*l*(l - 3)*(l - 2)**2
Suppose 298 = 3*y - 5*b, 16*b = -5*y + 17*b + 526. Factor -5*k**2 + 46 + 37*k + 46 - y.
-(k - 7)*(5*k - 2)
Suppose 62 = -j + 5*c, -4*c = 137*j - 135*j - 58. Determine u, given that -1816/5*u**j + 48/5 + 231*u**4 + 1256/5*u**2 - 45*u**5 - 80*u = 0.
2/5, 2/3, 3
Let y(t) = 132*t - 11*t**2 + 11*t**2 + 5*t**2 + 3 - 132*t**3 - 5*t**4. Let u(i) = -i**3 + i - 1. Let p(o) = -3*u(o) - y(o). Let p(l) = 0. Calculate l.
-27, -1, 0, 1
Let s = 2125/1902 + 137/634. Determine u, given that 4/3*u**3 + 8/3*u**2 + 0*u - s*u**4 + 0 = 0.
-1, 0, 2
Let 1048/21*i + 137288/21 + 2/21*i**2 = 0. Calculate i.
-262
Let f = -1202 + 1204. Let b(d) be the second derivative of -1/13*d**3 + 2/13*d**f + 1/78*d**4 + 9*d + 0. Factor b(q).
2*(q - 2)*(q - 1)/13
Let b(m) be the second derivative of m**8/16800 + 13*m**7/1050 + 169*m**6/200 + 143*m**4/6 + m - 1. Let y(z) be the third derivative of b(z). Factor y(w).
2*w*(w + 39)**2/5
Let i(h) be the second derivative of -h**6/60 - 2*h**5/5 - 37*h**4/12 - 14*h**3/3 + 147*h**2/4 + 403*h + 1. Factor i(v).
-(v - 1)*(v + 3)*(v + 7)**2/2
Suppose -i + 28 = 3*i - 4*h, 4*i - 33 = 5*h. Suppose 6*c - 10 = i. Factor -6*n**2 - 9*n**c - 4*n - 24*n**3 - 13*n**2.
-4*n*(n + 1)*(6*n + 1)
Let k be 3 - (-2 + (4 - 4)). Let r be (-24)/(-10) - 6/(-10). Factor f**r + 2*f**3 - 5*f**2 + 5*f**k + 12*f**3 - 15*f**4.
5*f**2*(f - 1)**3
Let s(g) be the third derivative of 0*g - 1/70*g**7 - 8/5*g**5 + 3*g**2 - 33/40*g**6 + 0*g**4 - 6 + 0*g**3. Factor s(k).
-3*k**2*(k + 1)*(k + 32)
Let m(c) = -c**2 + 16*c + 58. Let z be m(19). Let n be 0 - z - (-20)/20. Factor n*o**2 + 6/7*o**3 + 0*o + 3/7*o**4 + 0.
3*o**3*(o + 2)/7
Let d(y) = y**2 + 6. Let v = 416 + -413. Let w(c) be the third derivative of c**3/2 - c**2. Let p(h) = v*d(h) - 7*w(h). Factor p(x).
3*(x - 1)*(x + 1)
Let c(o) = -o**3 - 6*o**2 + 6*o + 3. Let x be c(-7). Let n be 0/((x/(-20))/((-1)/6)). Factor 0 - 5/6*l**2 - 5/6*l**5 + 5/6*l**4 + n*l + 5/6*l**3.
-5*l**2*(l - 1)**2*(l + 1)/6
Factor -1816*b**2 + 157*b + 384*b + 497*b**3 + 2*b**5 - 53*b**4 + 675*b + 3584.
(b - 8)**3*(b + 1)*(2*b - 7)
Let i be ((-9772)/(-42))/((-2)/9). Let s = -1047 - i. What is b in -4/3*b**3 - 20/3*b + 8*b**2 + s = 0?
0, 1, 5
Let i be 3 + (-2172)/14 + (-117)/(-39). Let v = i - -150. Factor -v*j**2 - 4/7*j - 2/7*j**3 + 0.
-2*j*(j + 1)*(j + 2)/7
Solve 39*q**2 - 101*q**2 - 350*q + 692 - 34*q**3 + 36*q**3 - 156*q**2 - 126*q**2 = 0.
-2, 1, 173
Suppose 105/4 + 3/2*k - 3/4*k**2 = 0. What is k?
-5, 7
Let b(u) be the second derivative of 0*u**2 + 0 - 3/20*u**5 - 1/126*u**7 + 1/18*u**6 - 1/9*u**3 - 49*u + 7/36*u**4. Factor b(d).
-d*(d - 2)*(d - 1)**3/3
Let w(c) = -2*c**3 - 14*c**2 - 30*c - 18. Let v = -531 + 535. Let z(p) = -3*p**3 - 15*p**2 - 31*p - 19. Let j(y) = v*z(y) - 5*w(y). Factor j(n).
-2*(n - 7)*(n + 1)**2
Let q(u) be the second derivative of 36*u**6/5 - u**5/30 - 18*u**4 + u**3/9 + u + 47. Let q(f) = 0. Calculate f.
-1, 0, 1/324, 1
Let m be 33/(-88)*-6*(-8)/(-2) - 4. Let h(d) be the second derivative of 0*d**2 + 0 - 2*d**4 - 2/5*d**6 + 4/3*d**3 - 11*d + 1/21*d**7 + 13/10*d**m. Factor h(t).
2*t*(t - 2)**2*(t - 1)**2
Factor 1/3*q**4 - 508/3*q**3 + 64009/3 + 21674*q**2 - 128524/3*q.
(q - 253)**2*(q - 1)**2/3
Let q(g) = -502*g**2 + 340*g + 1508. Let o(s) = -209*s**2 + 136*s + 603. Let b(r) = 12*o(r) - 5*q(r). Determine k, given that b(k) = 0.
-4, 38
Let q(m) = -m**5 + m**4 + m**3 - m**2 + m - 1. Let i(h) = -10*h**5 - 86*h**4 - 298*h**3 + 58*h**2 + 1286*h + 1210. Let a(p) = -i(p) + 6*q(p). Factor a(s).
4*(s - 2)*(s + 2)**3*(s + 19)
Let y(t) be the second derivative of t**4/36 + 26*t**3/9 + 338*t**2/3 - 839*t. Let y(p) = 0. What is p?
-26
Let b(v) be the second derivative of -11*v**4/12 - 9*v**3/2 - 7*v**2/2 + 541*v. Let f be b(-2). Factor -4 + f*d - 1/2*d**2.
-(d - 4)*(d - 2)/2
Suppose -2*l + 2532 = 2*z, 7*z - 6*l + l = 8802. Let i = z + -1259. Factor 6/5*x**i + x**3 - 8/5 - 4/5*x + 1/5*x**4.
(x - 1)*(x + 2)**3/5
Factor 80/3*d + 79/3 + 1/3*d**2.
(d + 1)*(d + 79)/3
Let i(u) = -u**3 - 9*u**2 - 13*u - 8. Let s be i(-6). Let a = s - -41. Solve -158*f**2 + 4*f + f**3 - 5*f**a + 158*f**2 = 0 for f.
-1, 0, 1
Let t(v) be the second derivative of 1/30*v**6 + 11*v + 0 - 5/6*v**4 + 2*v**3 + 1/15*v**5 - 13/2*v**2. Let x(s) be the first derivative of t(s). Factor x(b).
4*(b - 1)**2*(b + 3)
Let g(h) be the first derivative of -h**4/20 + 5*h**3/3 - 15*h**2 + 5173. Solve g(b) = 0.
0, 10, 15
Let b be (-5)/30*-916 - 3. Let o = b + -148. Factor 10/3*a**3 - 5*a**4 + 0 + 0*a**2 + o*a**5 + 0*a.
5*a**3*(a - 2)*(a - 1)/3
Let d = 216 - 302. Let g be -4 - (d/10 + 3 + 1). Factor 1/5*h**3 + h**2 + 7/5*h + g.
(h + 1)**2*(h + 3)/5
Let -873*c**3 + 868*c**3 + 69360 - 20905*c + 695*c**2 - 4255*c = 0. What is c?
3, 68
Suppose -328*q + 326*q - 24 = 2*f, -56 = 4*q. Solve 2/17*j**4 - 8/17*j + 8/17*j**3 - 2/17*j**f + 0 = 0.
-4, -1, 0, 1
Let i(f) be the third derivative of -f**6/120 - 11*f**5/20 - 9*f**4 + 162*f**3 + 13*f**2 - 10*f. Factor i(h).
-(h - 3)*(h + 18)**2
Let o = 295 - 294. Let w be (o/(-2 + 3))/(266/228). Determine g, given that -20/7*g**3 + w*g**4 + 24/7*g**2 - 12/7*g + 2/7 = 0.
1/3, 1
Let s(l) be the third derivative of -1 - 36*l**2 + 10*l**3 + 0*l + 1/12*l**5 + 5/3*l**4. Suppose s(g) = 0. What is g?
-6, -2
Let s(k) be the third derivative of -k**5/30 - 5*k**4/12 - 19*k**3/6 + 28*k**2. Let d(n) = -n**2 - 5*n - 9. Let j(p) = 14*d(p) - 6*s(p). Factor j(c).
-2*(c + 2)*(c + 3)
Suppose -5*b + 9*k - 11*k + 10 =