late p.
-1, 1
Let a be (2/(-6))/((-11)/(-33)). Let b be 15/6 - a/2. Determine m so that 4*m**5 + 14*m**4 - 9*m**4 + 16*m**5 - 5*m**2 - 20*m**b = 0.
-1, -1/4, 0, 1
Factor 165*a**2 + 20 + 360*a - 1777*a**3 + 853*a**3 + 749*a**3.
-5*(a - 2)*(a + 1)*(35*a + 2)
Let z(c) be the third derivative of -c**5/105 - 344*c**4/21 - 236672*c**3/21 + 3*c**2 - 62*c. Factor z(j).
-4*(j + 344)**2/7
Let x(k) be the first derivative of 70/27*k**3 - 72*k + 1/18*k**4 + 32*k**2 + 172. Factor x(q).
2*(q - 1)*(q + 18)**2/9
Let d(x) = 0*x**4 + x**4 - 3 + 5*x**3 + 8*x**4 - 17*x**3. Let m(i) = i**5 - 9*i**4 + 12*i**3 + 4. Let t(h) = -4*d(h) - 3*m(h). Factor t(g).
-3*g**3*(g - 1)*(g + 4)
Let a(i) = -9*i**3 + 5*i**2 - 32*i + 66. Let c(b) = 7*b**3 - 6*b**2 + 36*b - 64. Let t(y) = -4*a(y) - 5*c(y). Factor t(j).
(j - 2)**2*(j + 14)
Let o(x) be the first derivative of -3/4*x**4 + 6*x**3 + 12*x - 27/2*x**2 - 27. Factor o(g).
-3*(g - 4)*(g - 1)**2
Let d be 777/24 - 18/48. Determine b, given that -d*b - 16*b**2 + 16 - 23*b**2 + 19*b**2 = 0.
-2, 2/5
Let j = 279 + -274. Suppose 37*f - 3*f + 2*f**2 - 4*f**2 + 8*f - 96 + j*f**2 = 0. What is f?
-16, 2
Let f(i) = -5965*i**3 - 2358140*i**2 - 315170505*i - 924448130. Let a(x) = x**4 - 5*x**3 + 2*x**2 - x - 1. Let r(z) = 5*a(z) - f(z). Solve r(y) = 0 for y.
-395, -3
Let z(n) be the second derivative of -1/2*n**4 + 0 - 8*n**2 - 4/3*n**3 + 4*n - 1/15*n**5. Let m(l) be the first derivative of z(l). Factor m(w).
-4*(w + 1)*(w + 2)
Let p(m) be the third derivative of -1/80*m**5 - 1/3*m**3 + 7*m**2 + 7 + 1/840*m**7 + 0*m + 1/120*m**6 - 7/48*m**4. Find r such that p(r) = 0.
-4, -1, 2
Suppose 576*h**2 - 1447*h**4 + 719*h**5 + 14*h**5 - 11*h**5 + 32*h + 2288*h**3 - 1289*h**4 = 0. Calculate h.
-2/19, 0, 2
Let n be (-61)/((-1281)/(-162)) - -5*(-6)/30*-8. Factor 120/7*w - 1800/7 - n*w**2.
-2*(w - 30)**2/7
Let g(q) be the first derivative of -783*q**5/25 + 162*q**4/5 - 42*q**3/5 - 8*q**2/5 + q - 2751. Find k such that g(k) = 0.
-5/29, 1/3
Suppose 10064 = 4*k - 4*v, 5*k - v - 4289 = 8311. Let n = -2519 + k. Let 5/4*d + 3/4 - 1/2*d**n = 0. Calculate d.
-1/2, 3
Let k be (4/(20/(-3)))/(45/(-225)). Factor -2*u - 219*u**4 + 5*u**2 - 2*u**3 + 220*u**4 - 2*u**k.
u*(u - 2)*(u - 1)**2
Determine n, given that -136/3*n - 70/3*n**4 + 64/3 + 622/3*n**3 - 160*n**2 = 0.
-2/5, 2/7, 1, 8
Let a = 15/8 - 3/8. Let l(f) = -f**2 - 160*f + 1169. Let j be l(7). Solve 0*o - a*o**4 - o**3 + j + 1/2*o**2 = 0.
-1, 0, 1/3
Let c(h) be the first derivative of 0*h - 2 + 1/10*h**6 + 0*h**5 - 3/5*h**4 + 0*h**2 + 0*h**3. Factor c(l).
3*l**3*(l - 2)*(l + 2)/5
Let b(j) be the second derivative of -11*j**6/50 - 93*j**5/50 + 123*j**4/20 + 59*j**3/5 - 84*j**2/5 + 9138*j. Solve b(m) = 0.
-7, -1, 4/11, 2
Let q(y) be the first derivative of -23328*y**5/5 - 7074*y**4 - 4760*y**3/3 + 103*y**2 - 2*y + 288. Determine z, given that q(z) = 0.
-1, -1/4, 1/54
Let v(c) be the first derivative of 49*c**5 + 231455*c**4/2 + 218526545*c**3/3 - 62492850*c**2 + 17860500*c - 5190. Factor v(d).
5*(d + 945)**2*(7*d - 2)**2
Let b be 5988/1890 + (-40)/(-1260). Determine l so that 32/15 + b*l + 6/5*l**2 = 0.
-4/3
Let q(b) be the first derivative of -b**3/6 - 194*b**2 - 75272*b - 1281. Let q(z) = 0. Calculate z.
-388
Suppose 5*s + 10 = -5*f, -12 = 2*f - 3048*s + 3052*s. Let z(i) = i - 1. Let p be z(4). Let -j**p - 1/3*j**4 - 1/3*j + 0 - j**f = 0. What is j?
-1, 0
Let o(j) = j**4 + j**3 + 3*j**2 - j + 2. Let m(p) = 23*p**4 + 87*p**3 + 113*p**2 - 147*p + 38. Let z(n) = m(n) - 19*o(n). Factor z(k).
4*k*(k - 1)*(k + 2)*(k + 16)
Suppose -4*v - 2*r + 34 = 0, 0 = 3*v + 40*r - 36*r - 23. Factor 16 + 7*q**3 + 0*q**3 - 9*q**3 - 3*q - v*q**2 - 7 + 5*q**3.
3*(q - 3)*(q - 1)*(q + 1)
Let k = 9 - 57. Let z = 50 + k. Factor -z*w + 2*w**2 - 8*w - 43 + 43.
2*w*(w - 5)
Let t(a) = a**3 - 11*a**2 + 2*a - 18. Let c be t(11). Let n be 7 + 115/(-40) - c. Factor -3/8*j + n*j**2 + 1/4.
(j - 2)*(j - 1)/8
Let u(l) = 1622*l - 107049. Let x be u(66). Determine v, given that 12/7*v**2 - 120/7*v**x - 60/7 + 6/7*v**5 + 48/7*v**4 + 114/7*v = 0.
-10, -1, 1
Let b(o) be the third derivative of 0*o + 1/448*o**8 + 1/30*o**5 + o**2 - 1/105*o**7 + 1/32*o**4 + 40 + 0*o**3 - 1/80*o**6. Find m, given that b(m) = 0.
-1, -1/3, 0, 1, 3
Suppose -3*r - 392 = -3*n + 235, -2*r - 421 = n. Let w be ((-18)/(-21))/((-5)/r). Solve -8 - 3*u**3 - 22 - u**3 + 130 - 60*u - w*u**2 = 0 for u.
-5, 1
Let m = -575012 - -5175110/9. Determine t, given that -2/9*t**2 + m*t**3 + 0 - 4/9*t = 0.
-1, 0, 2
Let z(l) be the first derivative of l**7/840 + 47*l**6/180 + 2209*l**5/120 + 148*l**3/3 - 63. Let y(i) be the third derivative of z(i). Factor y(b).
b*(b + 47)**2
Factor 16245 + 1482*k + 169/5*k**2.
(13*k + 285)**2/5
Let m = 975 - 990. Let p be (-10)/(-60) + m/(-10). Suppose 5*j**3 + 15*j**2 + 25/3*j + 0 - p*j**4 = 0. Calculate j.
-1, 0, 5
Let u be ((-3)/(-17)*(-18 + 1862/105))/(52/(-130)). Factor -10/17 + 2/17*l**3 - u*l + 10/17*l**2.
2*(l - 1)*(l + 1)*(l + 5)/17
Let m = 457/114 + -763/342. Find l such that -m*l + 2/9*l**3 + 8/3 - 10/9*l**2 = 0.
-2, 1, 6
Factor 603 + 13*g**2 + 48*g**2 + 551*g - g**3 - 158*g.
-(g - 67)*(g + 3)**2
Suppose 5*v - 323 = -4*s, -2*v - 225 = -3*s - 0*s. Suppose -s = -26*m - 25. Factor 0*f**4 - 1/2*f**3 + 0 + 1/4*f + 1/4*f**5 + 0*f**m.
f*(f - 1)**2*(f + 1)**2/4
Let i(n) be the third derivative of n**6/240 - 1217*n**5/120 - n**4/48 + 1217*n**3/12 + 23*n**2 + 12*n + 2. Solve i(o) = 0.
-1, 1, 1217
Factor 2/13*h**2 - 1036*h + 1744106.
2*(h - 3367)**2/13
Let b(y) be the first derivative of -y**4/4 + 2*y**3/3 + y - 53. Let n(r) = 31*r**3 + 110*r**2 + 48*r - 11. Let j(z) = -5*b(z) + n(z). Factor j(p).
4*(p + 1)*(p + 2)*(9*p - 2)
Let 3*g**2 + g**2 - g**2 - g**2 + 45243 - 45379 + 64*g = 0. What is g?
-34, 2
Let t(r) be the second derivative of -18*r**5/5 + 87*r**4 - 254*r**3/3 + 28*r**2 + 4967*r. Solve t(n) = 0.
1/6, 1/3, 14
Factor 157/6*n - 1/3*n**2 - 156.
-(n - 72)*(2*n - 13)/6
Let l = -4489 + 4493. Let k be (4/(-30))/(6/(-9)). Suppose -k*d**5 + 8/5*d**l + 0 + 32/5*d**2 - 24/5*d**3 - 16/5*d = 0. Calculate d.
0, 2
Let c = -234/8065 - -3928/24195. Find t such that 2/15 - 4/15*t + c*t**2 = 0.
1
Suppose -8/5*m**2 + 522*m - 652/5 = 0. Calculate m.
1/4, 326
Let t(l) = -4*l**2 - 148*l + 546. Let d(m) = -40*m**2 - 1332*m + 4916. Let c(v) = -3*d(v) + 28*t(v). Factor c(h).
4*(h - 5)*(2*h - 27)
Let k be (-2)/2 + 35/20. Suppose 46 = -9*j + 82. Factor -k + 1/2*c**2 + 1/4*c**5 + 5/4*c - 3/2*c**3 + 1/4*c**j.
(c - 1)**3*(c + 1)*(c + 3)/4
Let v = -3119/14 + 9581/42. Suppose -4/3*m**3 + 17/3*m**2 - v*m + 1 = 0. Calculate m.
1/4, 1, 3
Let o(p) be the first derivative of p**4/2 + 124*p**3/3 + 3717*p**2/4 - 3969*p/2 - 2448. Factor o(j).
(j - 1)*(2*j + 63)**2/2
Let g = -848784 - -848787. Let 1/2*u**3 + 3 + 11/2*u + g*u**2 = 0. Calculate u.
-3, -2, -1
Let a(q) be the first derivative of -500094/19*q + 9 - 126/19*q**3 - 11907/19*q**2 - 1/38*q**4. Let a(g) = 0. Calculate g.
-63
Let y = 403246 - 403244. Let w be (5 + -1)/((-12)/(-8)). Factor -2*a**4 + 4/9*a**y + w*a**3 - 2/9 - 8/9*a.
-2*(a - 1)**2*(3*a + 1)**2/9
Suppose -33558 + 840*p**2 - 59936 + 2*p**3 + 43248*p - 3*p**3 + 5*p**3 + 3606 = 0. What is p?
-106, 2
Suppose -191*m + 185*m - 132 = 0. Let b be (-48)/m - (9 + 4 + -11). Factor 0 + 0*v - b*v**2 + 2/11*v**3.
2*v**2*(v - 1)/11
Let r(x) = 217*x - 418. Let a be r(2). Let z(d) be the first derivative of -a + 2/11*d - 2/33*d**3 + 1/11*d**2 - 1/22*d**4. Let z(q) = 0. Calculate q.
-1, 1
Let b(p) = -30*p**2 + 183*p - 33. Let d(u) = u**2 + 6*u + 1. Let r(m) = -b(m) + 15*d(m). What is f in r(f) = 0?
1, 16/15
Suppose -10*o = 5*r - 7*o - 1, o - 7 = -5*r. Factor 16 + 0*g**r - 2*g**2 + 2.
-2*(g - 3)*(g + 3)
Let d(h) be the first derivative of -10*h**3/3 - 19*h**2/2 + 20*h - 69. Let i(o) = 28*o**2 + 56*o - 60. Let c(r) = 8*d(r) + 3*i(r). Let c(v) = 0. What is v?
-5, 1
Let r(f) be the first derivative of 26 + 162*f - 75/2*f**2 - f**3. Factor r(c).
-3*(c - 2)*(c + 27)
Suppose -7*y + 13 = -1. Factor 115*v + 37*v**3 - 137*v**y + 27*v**2 - 30 - 12*v**3.
5*(v - 3)*(v - 1)*(5*v - 2)
Suppose 5*f = 2*i - 26, 3*f + 35 = 5*i - 2*f. Suppose 0 = 3*c + 3*m - 9, 5*m = -c - i - 2. Factor -c*u + 0*u**2 - u + 9 - 4*u**2 + u**2.
-3*(u - 1)*(u + 3)
Suppose 4*l - 9*l = m + 7, -5*m = 5*l - 5. Let 3*t**2 + t**3 - 30*t**