*2 + 30 + 505*c.
-5*(c - 24)*(c - 1)*(c + 5)
Let c be -8 + 1/22*51548/263. Suppose 2/11*i + 10/11 - 2/11*i**3 - c*i**2 = 0. Calculate i.
-5, -1, 1
Let t(o) be the second derivative of -o**6/6 - 31*o**5/4 + 655*o**4/2 - 11440*o**3/3 + 15680*o**2 - 4726*o. Factor t(p).
-5*(p - 8)**2*(p - 2)*(p + 49)
Suppose 4*t = -6*p + 3*p - 11, -4*t = 2*p + 14. Suppose j = -2*i + 2*j + 44, i + p*j = 15. Let -i - 10*a - 43 - 22*a - 4*a**2 = 0. What is a?
-4
What is p in -1058/9*p**2 + 2/9*p**4 - 656/3*p - 56/3*p**3 - 120 = 0?
-3, -2, -1, 90
Let l(p) be the third derivative of -1/210*p**7 + 13*p**2 - 2*p - 1/240*p**6 + 0 - 1/672*p**8 + 0*p**3 + 0*p**5 + 0*p**4. Determine y so that l(y) = 0.
-1, 0
Let k be (-506)/(-72) + 5*119/(-85). Let x(y) be the second derivative of 0*y**2 + 1/9*y**3 - 18*y + 0 + k*y**4. Factor x(v).
v*(v + 2)/3
Let r(f) be the first derivative of 5*f**9/6048 + 11*f**8/1008 + f**7/144 + 39*f**3 + 153. Let b(l) be the third derivative of r(l). Factor b(v).
5*v**3*(v + 7)*(3*v + 1)/6
Let v(b) be the second derivative of -116*b**3/3 - b**2 + 13*b. Let z be v(-1). Factor 4*u**2 + 24 - u**2 + 212*u - z*u.
3*(u - 4)*(u - 2)
Let p(d) = d**2 + 4*d + 7. Suppose 0 = -20*t - 30 - 10. Let y be p(t). Suppose 1/2*k**2 + 0*k + 0 + 1/4*k**4 - 3/4*k**y = 0. Calculate k.
0, 1, 2
Let g = -4604 + 7932. Solve 3329*o**2 - 3*o - g*o**2 - 27*o = 0.
0, 30
Let j = -1196762 + 1196765. Factor -16/5*h**2 + 4/5 + 2*h**j + 2/5*h.
2*(h - 1)**2*(5*h + 2)/5
Let l(j) be the first derivative of j**4/8 - j**3/3 - 42*j**2 + 1002. Let l(z) = 0. Calculate z.
-12, 0, 14
Let c(z) be the first derivative of z**6/90 - z**5/10 - 3*z**4 - 2*z**3/3 - 24*z - 45. Let o(k) be the third derivative of c(k). Find x, given that o(x) = 0.
-3, 6
Let v(u) be the third derivative of -u**9/665280 + u**8/73920 - u**7/27720 - 259*u**5/60 - 204*u**2. Let y(n) be the third derivative of v(n). Factor y(l).
-l*(l - 2)*(l - 1)/11
Determine x, given that -33*x**4 + 839*x**2 + x**4 - 15*x**3 - 5*x**3 - 4*x**5 - 783*x**2 = 0.
-7, -2, 0, 1
Let w(p) = 3*p**4 + 2*p**3 + 12*p**2 - 10*p + 13. Let x be (12/(-126)*14)/((-2)/30). Let f(z) = -z**4 - z**3 - z - 2. Let g(d) = x*f(d) + 5*w(d). Factor g(v).
-5*(v - 1)**3*(v + 5)
Let f(r) be the second derivative of -r**4 - 2351*r**3/3 + 392*r**2 + 3506*r. Solve f(s) = 0.
-392, 1/6
Let t = -19686 - -19690. Let z(v) be the first derivative of 1/3*v**2 + 0*v + 0*v**t + 21 + 4/15*v**5 - 4/9*v**3 - 1/9*v**6. Let z(o) = 0. What is o?
-1, 0, 1
Let f(q) be the first derivative of -3*q**4/28 + 890*q**3/7 - 42624*q**2 + 1182816*q/7 + 4048. Factor f(c).
-3*(c - 444)**2*(c - 2)/7
Let i(r) be the first derivative of 6/7*r**2 - 1/7*r**3 - 9/7*r + 27. Factor i(x).
-3*(x - 3)*(x - 1)/7
Let n(u) = -764*u - 40489. Let f be n(-53). Determine a, given that -2/11*a**f - 8/11*a - 8/11*a**2 + 0 = 0.
-2, 0
Let o be ((55 - (18 + 35))/((-4)/(-6)))/2. Factor 0*c - 1/2*c**3 - 2 + o*c**2.
-(c - 2)**2*(c + 1)/2
Let h(i) be the first derivative of 1/21*i**3 - 4/7*i**2 - 20/7*i + 13. Factor h(u).
(u - 10)*(u + 2)/7
Suppose -70*b = 93*b - 326. Let h(y) be the third derivative of -2*y**3 - 23*y**b + 5/12*y**4 + 0*y + 1/30*y**5 + 0. Solve h(r) = 0 for r.
-6, 1
Let s(k) be the first derivative of 0*k - 8/5*k**5 + 27 + 12*k**2 + 29/2*k**4 - 110/3*k**3. Factor s(u).
-2*u*(u - 4)*(u - 3)*(4*u - 1)
Factor 21 + 200*p + 10*p**2 + 2*p**3 - 6*p**2 + 31*p**2 + 243 + 3*p**2.
2*(p + 2)*(p + 6)*(p + 11)
Let j = -4626215/7 + 660888. Find s, given that -12/7*s + 0 - j*s**2 = 0.
-12, 0
Let k(h) be the third derivative of -h**5/60 + 3*h**4/8 + 15*h**3 + 2*h**2 + 420. Let k(j) = 0. What is j?
-6, 15
Suppose 16*y**2 - 4*y**4 + 8*y**3 + 3*y**3 - 173047*y**5 + 4*y + 173044*y**5 = 0. What is y?
-2, -1, -1/3, 0, 2
Find p, given that -63/8 + 15/8*p**3 + 99/8*p**2 - 51/8*p = 0.
-7, -3/5, 1
Let d = -14891 + 14897. Let m(r) be the second derivative of -1/10*r**d + 21*r - 5/4*r**4 + r**3 + 3/5*r**5 + 0 + 0*r**2. Factor m(t).
-3*t*(t - 2)*(t - 1)**2
Let c(g) be the third derivative of -g**8/112 - 41*g**7/70 - 287*g**6/20 - 1527*g**5/10 - 4545*g**4/8 - 2025*g**3/2 - 20*g**2 - 2*g + 5. What is o in c(o) = 0?
-15, -9, -1
Factor 5/3*m**4 - 68/3*m**2 - 44/3*m + 0 + 107/3*m**3.
m*(m - 1)*(m + 22)*(5*m + 2)/3
Factor 917*y - 3670*y - 3*y**2 + 915*y + 911*y + 918*y.
-3*y*(y + 3)
Let a = -79 + 83. Factor -780*q**3 + 393*q**3 + 2*q**5 + 395*q**3 - 8*q**a.
2*q**3*(q - 2)**2
Let 55/4*p + 1/4*p**3 - 19/4*p**2 + 75/4 = 0. What is p?
-1, 5, 15
Let w(d) be the first derivative of -86 + 20*d**2 + 36*d + 3*d**3 - 20*d**2 - 15*d**3 - 10*d**2 + 5*d**4. Find l such that w(l) = 0.
-1, 1, 9/5
Let k = 615 + -1515. Let h = 902 + k. Solve 36/7*t - 54/7 - 6/7*t**h = 0.
3
Let k(c) be the second derivative of c**4/12 - 50*c**3/3 + 192*c**2 + 2747*c. Factor k(n).
(n - 96)*(n - 4)
Let u(q) = -q**3 - q**2 + 2*q - 4. Let k be u(-3). Suppose -k = 4*a - 48. Factor -196*v**4 - a*v**3 + 194*v**4 + 2*v**3 - 8*v**2.
-2*v**2*(v + 2)**2
Let d(i) = i**3 + 6*i**2 - 6*i + 12. Let c = 1 - 8. Let m be d(c). Find n such that 0 + 0*n - 1/5*n**3 + n**m + 0*n**2 - 4/5*n**4 = 0.
-1/5, 0, 1
Let h = -10378 - -10380. Let r(o) = 3*o - 4. Let q be r(2). Factor 2/3*c**h + q + 8/3*c.
2*(c + 1)*(c + 3)/3
Suppose -2*b + c - 3 = -3*b, 2*c + 2 = 0. Let y be (-66)/60*b/(-11). Factor 1/5*d**2 + y + 3/5*d.
(d + 1)*(d + 2)/5
Suppose 0 = 126*x - 1006 + 376. Let j(f) be the second derivative of 1/10*f**x + 1/30*f**6 + 0 + 3*f + 0*f**2 + 0*f**3 + 1/12*f**4. Find t such that j(t) = 0.
-1, 0
Factor -22*n**2 + 2*n**4 - 64*n**2 - 28*n**2 - 4*n**3 - 108*n.
2*n*(n - 9)*(n + 1)*(n + 6)
Let w = -2505746/17 + 147398. Factor w + 16/17*i**2 + 38/17*i - 2/17*i**3.
-2*(i - 10)*(i + 1)**2/17
Let b(t) be the first derivative of -t**3/12 + 29*t**2/8 + 105*t/2 - 5381. Factor b(h).
-(h - 35)*(h + 6)/4
Let g(v) be the third derivative of -v**8/2352 - 4*v**7/147 + 13*v**6/35 - 391*v**5/210 + 793*v**4/168 - 47*v**3/7 + 9580*v**2. Solve g(i) = 0 for i.
-47, 1, 2, 3
Let z be (37 - 47) + (-3136)/(-308). Factor -10/11*j**2 - 8/11 - z*j**3 - 16/11*j.
-2*(j + 1)*(j + 2)**2/11
Let u be (-97)/(16/(-104) - 20/(-468)). Let v = u + -870. Factor 2/3 + 1/6*q - 1/6*q**v - 2/3*q**2.
-(q - 1)*(q + 1)*(q + 4)/6
Let x = -4/33817 - -19328/33817. Solve x*t - 4/7*t**3 - 8/7*t**2 + 8/7 = 0 for t.
-2, -1, 1
Determine k so that -1039682/5 - 1/10*k**2 + 1442/5*k = 0.
1442
Suppose 2*j = 2*o - 166, -335 = -o - 3*o + 5*j. Suppose 0 = -16*d - 4*d + o. Factor 0*r**2 + 2/11*r**3 + 0 + 2/11*r**5 + 0*r + 4/11*r**d.
2*r**3*(r + 1)**2/11
Let -9825*d - 13635/2*d**2 - 4500 - 2841/2*d**3 + 27/2*d**5 + 171/2*d**4 = 0. What is d?
-12, -5/3, -1, 10
Let l = -877 + 881. Let y be (6/(-4))/(2/(-4)). Factor 18*w**2 + 7*w**4 - 4*w**5 + 12*w**3 + 16*w**y + w**l - 2*w**2.
-4*w**2*(w - 4)*(w + 1)**2
Let o(z) be the first derivative of z**6/14 - 72*z**5/35 + 156*z**4/7 - 768*z**3/7 + 1536*z**2/7 - 1486. Factor o(s).
3*s*(s - 8)**2*(s - 4)**2/7
Factor -1/6*i**2 - 24025/6 + 155/3*i.
-(i - 155)**2/6
Let f(h) be the third derivative of -7*h**6/30 + 737*h**5/15 + 266*h**4/3 - 424*h**3/3 + 890*h**2. Factor f(w).
-4*(w - 106)*(w + 1)*(7*w - 2)
Let g(d) be the third derivative of d**6/40 + 57*d**5/20 - 385*d**4/8 - 441*d**3/2 + d**2 - 1664*d + 1. Factor g(u).
3*(u - 7)*(u + 1)*(u + 63)
Factor -1272 + 145*s**2 - 1070 + 2342 + s**3.
s**2*(s + 145)
Let y(p) be the second derivative of p**5/4 - 3985*p**4/6 + 3176045*p**3/6 + 2*p + 167. Let y(i) = 0. What is i?
0, 797
Let v(n) = 4*n**3 + 33*n**2 - 13*n. Let h(p) = -p**3 - 11*p**2 + 2*p. Let x(d) = -14*h(d) - 4*v(d). Factor x(g).
-2*g*(g - 12)*(g + 1)
Let y(t) be the third derivative of t**8/2016 - t**7/45 + 17*t**6/40 - 203*t**5/45 + 4165*t**4/144 - 343*t**3/3 + t**2 - 2504. Determine v so that y(v) = 0.
3, 4, 7
Suppose 130*r - 138*r + 16 = 0. Let j be r/(-4)*0/27. Factor 10/13*t**3 + 0*t**2 + 0 + j*t + 2/13*t**4.
2*t**3*(t + 5)/13
Let b be (42/70)/((-12)/(-80)). Suppose 12 = -b*x + 5*l, x - 5*x = -2*l. Factor -3/5*n**3 + 7/5*n**x + 0*n - 4/5.
-(n - 2)*(n - 1)*(3*n + 2)/5
Let l(x) be the first derivative of 9*x**5/140 + 3*x**4/14 + 2*x**3/7 - 4*x**2 - 3*x + 40. Let o(w) be the second derivative of l(w). Factor o(v).
3*(3*v + 2)**2/7
Let y = -553 - -1673. Let z = -1115 + y. Find t such that -3/2*t + 3/4*t**2 + 0 - 3/4*t**4 + 9/4*t**3