6/60 - 2264*i**5/15 - 355*i**4 - 800*i**3/3 - 3*i**2 - 202*i. Find m such that y(m) = 0.
-10, -8, -1, -1/4
Let n(d) be the second derivative of -d**6/480 - d**5/10 + 39*d**3/2 + 215*d. Let u(k) be the second derivative of n(k). Factor u(i).
-3*i*(i + 16)/4
Let t(i) be the first derivative of -i**4/2 + 17*i**3/3 + 9*i**2/2 + 658. Let h be t(9). Find q such that -5/3*q**3 + 0*q**2 + 20/3*q + h = 0.
-2, 0, 2
Solve 4471*k**3 + 3298/5*k**2 - 1498/5*k**4 - 4476*k + 5*k**5 - 360 = 0.
-1, -2/25, 1, 30
Factor 125*n**2 - 197*n**3 + 378*n**3 + 130*n - 186*n**3.
-5*n*(n - 26)*(n + 1)
Let a(p) be the first derivative of -p**5/5 - p**4/3 + 4*p**3/3 + 268*p + 137. Let d(v) be the first derivative of a(v). Suppose d(b) = 0. Calculate b.
-2, 0, 1
Let s be -2 + (-39)/(-6) + (-3)/2. Factor -2*c**3 + 24*c + 8*c**s + 26*c**2 + 2*c**3 - 6*c**3.
2*c*(c + 1)*(c + 12)
Let x(q) be the second derivative of -1/2*q**3 + 1/30*q**5 - 48*q + 1/3*q**4 - 1/126*q**7 + 0*q**2 - 2/45*q**6 + 0. Factor x(r).
-r*(r - 1)**2*(r + 3)**2/3
Suppose -8*o = -12*o - x + 355, x + 455 = 5*o. Let y be 20/o - (-25)/9. Determine u, given that 6/5*u**2 - 4/5*u + 0 - 2/5*u**y = 0.
0, 1, 2
Suppose -5*z = -u + 18, -2*z + 3*z - 9 = -4*u. What is c in 10*c**3 - 16*c**3 - 9*c - 3*c**2 + 15*c**u + 3*c**4 + 0*c**2 = 0?
-3, -1, 0, 1
Let r be (1989/39)/(-255) - (-34)/20. Suppose -1/2*i**4 - 5/2*i**3 + 17/2*i + r*i**2 + 5 = 0. What is i?
-5, -1, 2
Let h(v) be the first derivative of 18*v**5/35 - 159*v**4/7 + 274*v**3/7 - 102*v**2/7 - 1637. Solve h(q) = 0 for q.
0, 1/3, 1, 34
Find c such that 3659436800 - 1836331840*c - 9964/5*c**3 + 3310704*c**2 + 2/5*c**4 = 0.
2, 1660
Let n be (2 - (-1)/((-1)/(-2))) + -1. Suppose 2*p + m = -2*p + 12, 0 = -2*p - n*m + 6. Factor -p*b**2 + 15*b - 24 + 8*b**2 + 4.
5*(b - 1)*(b + 4)
Suppose -31*m**2 - 250 + 9*m**2 + 398*m**4 - 75*m**3 - 408*m**4 + 525*m + 12*m**2 = 0. What is m?
-5, 1/2, 2
Let l(c) = -8*c**2 - 14*c + 33. Let u be l(-3). Let m(g) be the first derivative of -1/12*g**4 - 3 - 1/3*g**2 + 1/3*g**u + 0*g. Solve m(w) = 0.
0, 1, 2
Let w be ((-188)/(-19) - (-270)/2565) + 3 + -11. Factor 3*a - 1/3*a**3 + a**w + 5/3.
-(a - 5)*(a + 1)**2/3
Let b(u) = 3*u**2 + 10*u**2 - 5*u**2 - 5 - 6*u + 0*u. Let g(y) = 17*y**2 - 13*y - 11. Let d(o) = 14*b(o) - 6*g(o). Factor d(v).
2*(v - 1)*(5*v + 2)
Find h, given that 66*h**3 - 7897*h - 2*h**4 - 1536 - 504*h**2 - h**4 + 9433*h = 0.
2, 4, 8
Let w(d) = -3*d**2 - 5*d + 6. Let v = 182 - 181. Let a(j) = -j - 3. Let t(s) = v*w(s) + 4*a(s). Factor t(n).
-3*(n + 1)*(n + 2)
Let m(t) = -2*t**2 + t + 1. Let p(u) = -35*u + 2*u**2 - 36*u - 43*u + 64 - 37*u + 133*u. Let a(c) = 2*m(c) + p(c). What is f in a(f) = 0?
-11, 3
Let r(x) = 4*x**2 + 21*x + 7. Let w be r(-5). Suppose 10*f**w - 24*f**2 + 1089*f - 12 - 1055*f = 0. What is f?
3/7, 2
Let n(d) be the first derivative of 32/3*d**3 - 32*d - 38 + d**4 - 2*d**2. Factor n(i).
4*(i - 1)*(i + 1)*(i + 8)
Suppose 5*u + 4*r + 228 = 7*u, 496 = 4*u + 2*r. Find f such that -128*f**3 + u*f**3 + 7*f**4 - 4*f**4 = 0.
0, 2
Factor 1/2*f**5 - 328*f - 236*f**2 - 168 - 13/2*f**4 - 72*f**3.
(f - 21)*(f + 2)**4/2
Let j(q) be the second derivative of -4*q**5/5 - 51*q**4 - 988*q**3 - 722*q**2 - 677*q. Determine h so that j(h) = 0.
-19, -1/4
Let o(g) = g - 1. Let t(i) = -2*i + 7. Let b(z) = 5*o(z) + t(z). Let y be b(6). Factor -p**2 + 2*p**4 - 2*p**3 - 2*p**2 + p**2 + 22*p - y*p.
2*p*(p - 1)**2*(p + 1)
Let v(o) = -8*o**4 + 7*o**3 + 41*o**2 - 5*o - 5. Let a(l) = 8*l**4 - 8*l**3 - 40*l**2 + 4*l + 4. Let h(n) = 5*a(n) + 4*v(n). Factor h(s).
4*s**2*(s - 3)*(2*s + 3)
Let x(b) be the third derivative of -1/6*b**3 + 1/8*b**4 + 0 + 1/120*b**6 - 1/20*b**5 - b**2 + 2*b. Factor x(y).
(y - 1)**3
Let z(q) = -2*q**3 - 9*q**2 + 3*q - 2. Let l be z(-5). Suppose 0 = 23*c + l*c. Factor c - 1/2*a + 1/4*a**2.
a*(a - 2)/4
Let v be (600/30000)/(1/90). Factor -80 - v*n**4 - 354/5*n**3 - 3361/5*n**2 + 472*n.
-(n + 20)**2*(3*n - 1)**2/5
Solve 0 - 48/5*f**3 - 224/5*f + 54*f**2 + 2/5*f**4 = 0 for f.
0, 1, 7, 16
Suppose 2*s + 0*n - 3*n - 4 = 0, 4*s - 8 = -5*n. Let v(u) be the first derivative of 4/3*u**5 + 4/3*u**3 + s*u**4 + 1/3*u**6 + 1/3*u**2 - 6 + 0*u. Factor v(c).
2*c*(c + 1)**3*(3*c + 1)/3
Factor 0*m + 0 - 1/3*m**4 + 164/3*m**3 - 163/3*m**2.
-m**2*(m - 163)*(m - 1)/3
Let s(a) be the first derivative of 112 - 2/55*a**5 - 2/11*a**3 + 17/44*a**4 - 17/22*a**2 + 8/11*a. Suppose s(u) = 0. What is u?
-1, 1/2, 1, 8
Let z(a) be the second derivative of -2*a + 0*a**4 + 1/2*a**5 + 2 - 5/2*a**2 + 1/6*a**6 - 5/3*a**3. Let z(f) = 0. What is f?
-1, 1
Solve 3225/4*p + 495/4*p**2 + 3/4*p**3 - 3/4*p**4 + 1500 = 0.
-5, 16
Let a(k) be the first derivative of k**5/80 - 5*k**4/48 + k**3/6 - 73*k - 16. Let g(v) be the first derivative of a(v). Factor g(m).
m*(m - 4)*(m - 1)/4
Let k(g) be the second derivative of 0 - 23*g**2 - 1/3*g**3 - 20*g + 1/24*g**4 + 1/60*g**5. Let j(z) be the first derivative of k(z). Factor j(f).
(f - 1)*(f + 2)
Let f be (-2729702)/46347 + (-2 - 2)/(-12). Let k = 17/2207 - f. Solve k*c**4 + 164/7*c**2 - 396/7*c**3 - 150/7*c**5 + 2/7 - 30/7*c = 0.
1/5, 1/3, 1
Let r(f) = 15*f**4 - 21*f**3 - 42*f**2 + 210*f + 372. Let g(v) = 13*v**4 - 22*v**3 - 44*v**2 + 209*v + 370. Let s(i) = 6*g(i) - 5*r(i). Factor s(h).
3*(h - 10)*(h - 3)*(h + 2)**2
Let c(r) = -6*r**3 - 180*r**2 - 486*r + 34. Let y(o) = o**3 + 30*o**2 + 81*o - 6. Let u(b) = -6*c(b) - 34*y(b). Factor u(h).
2*h*(h + 3)*(h + 27)
Let k(x) be the second derivative of -x**4/78 - 2*x**3/3 - 160*x**2/13 + 224*x. Factor k(u).
-2*(u + 10)*(u + 16)/13
Let i(s) = 4*s**3 - 4*s + 4. Let m be i(1). Let u be (1 - 2911)*(-3)/(m - -2). Solve u*c**2 - 6*c - 1464*c**2 + 1 - 1 + 36*c**3 - 21*c**4 = 0 for c.
-2/7, 0, 1
Let a(m) be the third derivative of -3*m**8/2240 + m**7/105 - 161*m**4/24 + 4*m**2 - 14. Let o(v) be the second derivative of a(v). Find x such that o(x) = 0.
0, 8/3
Let d(w) = -16*w**3 + 104*w**2 + 284*w + 80. Let m(i) = 5*i**3 - 35*i**2 - 95*i - 28. Let b(s) = 9*d(s) + 28*m(s). Suppose b(l) = 0. Calculate l.
-8, -2, -1
Factor 37 - 43 + 13*i + 15*i**2 + 31 + 17 - 14*i**2.
(i + 6)*(i + 7)
Factor 22/3*y + 0 + 2/3*y**2.
2*y*(y + 11)/3
Factor 481/3*h + 16/3*h**2 - 496/3 - 1/3*h**3.
-(h - 31)*(h - 1)*(h + 16)/3
Solve -59 - 12 - 3*d**2 + 0*d**2 - 54*d - 97 = 0 for d.
-14, -4
Factor 1320 - 3040*y - 69*y + 1328*y**2 + 465*y - 4*y**3.
-4*(y - 330)*(y - 1)**2
Suppose -2*s = 18*u - 44, -2*u + u = -5*s - 28. Let t(h) be the first derivative of h**2 + 0*h + 1/5*h**5 + 19 + 3/4*h**4 - 1/6*h**6 - 5/3*h**u. Factor t(k).
-k*(k - 1)**3*(k + 2)
Determine z, given that 93*z - 21088*z**5 + 3*z - 60*z**2 + 22*z**4 - 104*z**3 + 128 - 20*z**2 - 58*z**4 + 21084*z**5 = 0.
-4, -2, 1
Let q(b) = -26*b + 88. Let k be q(5). Let a be (-15)/k*(-156)/(-65). Solve -8/7*i**2 + 2/7 + a*i = 0.
-1/4, 1
Let d = -131240 - -131242. Factor -16/5*n**d + 16/5 - 1/5*n**3 + 1/5*n.
-(n - 1)*(n + 1)*(n + 16)/5
Let t be (3/(-66))/(132/(-121)). Let f(b) be the first derivative of -1/4*b**2 + 0*b**3 - 12 + t*b**4 - 1/3*b. Let f(x) = 0. Calculate x.
-1, 2
Suppose 351 = 26*m + 13*m. Let f(c) = -118*c - 1568. Let d(w) = -w**2 + 475*w + 6272. Let o(t) = m*f(t) + 2*d(t). What is r in o(r) = 0?
-28
Let u(x) be the third derivative of -1/10*x**5 + 0*x**6 + 1/35*x**7 - 104*x**2 - 1/8*x**4 + 0 + 1/112*x**8 + 0*x**3 + 0*x. Factor u(l).
3*l*(l - 1)*(l + 1)**3
Let m = 5/6036 + 20105/18108. Factor 0 + 2/9*o**5 - m*o**4 + 14/9*o**3 - 2/3*o**2 + 0*o.
2*o**2*(o - 3)*(o - 1)**2/9
Let q(m) = -10*m**2 - 266*m + 2768. Let f be q(8). Solve f + 1/2*s + 1/6*s**3 - 2/3*s**2 = 0.
0, 1, 3
Let s = -22 + 30. Suppose s = -11*x + 52. Determine l, given that 32*l**2 + 4*l**5 + x*l**4 + 2*l**4 - 12*l - 6*l**4 - 24*l**3 = 0.
-3, 0, 1
Let j be (-8 + 24)*(-2 + (-18)/(-8)). Let x = -3756 + 3758. Determine c so that 5*c + 3*c**x + 3/2 - c**5 - 4*c**3 - 9/2*c**j = 0.
-3, -1, -1/2, 1
Suppose -88/7*c**2 + 120/7*c + 0 + 2/7*c**4 + 10/7*c**3 = 0. What is c?
-10, 0, 2, 3
Let a be (-8)/6*(-414)/24. Factor -2*s - 3*s + a*s - 5*s**3 + 10*s**2 + 17*s + 20.
-5*(s - 4)*(s + 1)**2
Suppose -5*p**3 + 0 + 5/2*p**2 + 5*p - 5/2*p**4 = 0. What is p?
-2, -1, 0, 1
Suppose 10 = 17*t - 15*t. Suppose -3*q + 0*w + 15 = 3*w, t*q - 2*w = 18. Factor 12*o**3 - 81*o - o**q - 9*o**2 - 49 - 26*o - 13*o**2 + 23*o.
-