**2 + 59*y - 320. Let p(n) = -3*n**2 + 178*n - 945. Let g(c) = -7*b(c) + 2*p(c). Factor g(q).
(q - 50)*(q - 7)
Let i(p) = 3*p**2 + 1 - 11*p - 2 + 5*p + 9*p. Let m(v) = -4*v**2 - 2*v. Suppose -12 = 5*b + 18. Let t(q) = b*i(q) - 5*m(q). Solve t(y) = 0 for y.
1, 3
Let r(v) = v**3 - v**2 + v - 3. Let n be r(4). Let u = -47 + n. Determine x, given that 7*x - 6*x**3 - 15*x**u + 3*x + 11*x**3 = 0.
0, 1, 2
Let n be (-27)/(-8) + 6/(-16). Suppose -n*h + 0 = -5*j + 16, j + 4 = -3*h. Factor -5 - 5*l**4 + 5*l**j - 37*l - 10*l**3 + 47*l + 5.
-5*l*(l - 1)*(l + 1)*(l + 2)
Suppose 0 = -8*q + 3 + 45. Let b be -2*(1/3)/(q/(-27)). Find d, given that 2*d**5 - 16*d**b + 12*d**2 - 9*d**4 + 2*d**4 + 16*d**5 - 2*d - 5*d**4 = 0.
-1, 0, 1/3, 1
Factor 9728*x + 8192 + 44*x**4 - 3*x**3 + 1416*x**2 - 60*x**4 - 115*x**3 + 18*x**4.
2*(x - 32)**2*(x + 1)*(x + 4)
Let x(h) be the second derivative of -4*h**7/273 - h**6/13 + 53*h**5/130 + 27*h**4/26 - 265*h**3/39 + 150*h**2/13 + 5278*h. Let x(u) = 0. What is u?
-5, -3, 1, 5/4, 2
Let c(y) be the first derivative of y**5/480 - y**4/96 + y**3/48 - 110*y**2 + 82. Let w(h) be the second derivative of c(h). Suppose w(g) = 0. Calculate g.
1
What is t in 7*t - 288 - 3*t**2 + 1415 + 2*t**2 + 1119*t = 0?
-1, 1127
Let l = 4456/3143 - 380/449. Factor -96/7*r + 144/7 - l*r**3 - 44/7*r**2.
-4*(r - 1)*(r + 6)**2/7
Suppose -12*y + 18*y - 48 = 0. Let 45*f**2 - 8*f**4 + 42*f**3 + y*f**3 + 13*f**4 = 0. What is f?
-9, -1, 0
Let c(l) be the second derivative of -64*l + 0*l**2 + 0 + 1/120*l**6 + 1/20*l**5 + 1/12*l**3 + 5/48*l**4. Suppose c(i) = 0. What is i?
-2, -1, 0
What is h in -1/4*h**3 + 395/2*h**2 + 0 - 156025/4*h = 0?
0, 395
Factor 21*u**3 - 3585*u**2 + 17*u**3 + 210*u**2 - 43*u**3.
-5*u**2*(u + 675)
Suppose 2*o = 2*b + 16, 2*b + b + 40 = 5*o. Let j be 3*o/12*(-2)/(-8). Factor z**2 + 0 - 1/2*z - j*z**3.
-z*(z - 1)**2/2
Let h(n) be the first derivative of -n**4/8 + 17*n**3/2 - 25*n**2/2 - 2113. Factor h(b).
-b*(b - 50)*(b - 1)/2
Factor 3176/5*b - 1260872/5 - 2/5*b**2.
-2*(b - 794)**2/5
Let n = -32908 - -789797/24. Let a(d) be the third derivative of -1/24*d**6 + 0 + 0*d - 43*d**2 - 1/12*d**5 + 5/6*d**3 + n*d**4. Factor a(l).
-5*(l - 1)*(l + 1)**2
Suppose -23*i - 4*i + 783 = 0. Factor i*w**2 - w**3 - 2*w**2 + 6*w**3 + 30*w - 2*w**2.
5*w*(w + 2)*(w + 3)
Determine u so that -3400830/7*u + 5218/7*u**2 - 2/7*u**3 - 3406050/7 = 0.
-1, 1305
Let p(d) = d**2 + 298*d + 8. Let a(t) = 595*t + 20. Let w(k) = -2*a(k) + 5*p(k). Factor w(x).
5*x*(x + 60)
Let t(m) = -28*m + 49. Let w(l) = 14*l - 25. Let s(o) = 3*t(o) + 7*w(o). Let z be s(12). Factor -79*v**2 + z*v**3 - 105*v**2 - 1 + 0 + 20*v + 25.
4*(v - 1)*(5*v - 3)*(7*v + 2)
Let u(g) = 4*g**2 - 6*g + 8. Suppose -19*w = -14*w - 10. Let x be u(w). Factor -x*l + 10*l + 9*l - 25 + 5*l**2 + 13*l.
5*(l - 1)*(l + 5)
Suppose -5*t + 35 = 5*n, 5*n + 8 - 19 = t. Suppose -2*x - 1 = -t*j - 11, 3*x - 15 = -2*j. Factor -2/5*o**2 + j - 3/5*o + 1/5*o**3.
o*(o - 3)*(o + 1)/5
Let o(b) = 40*b**2 - 8*b**3 - 24*b + 46*b - 253 - 15*b - 32*b. Let x(t) = -105*t**3 + 520*t**2 - 325*t - 3290. Let r(w) = -40*o(w) + 3*x(w). Factor r(y).
5*(y - 5)**2*(y + 2)
Let f = -7564/117 + 604/9. Let h = 2557 - 33239/13. Suppose 16/13*s**3 + 0 + 0*s + h*s**2 + f*s**4 = 0. Calculate s.
-1/4, 0
Let a(v) be the second derivative of 3*v**5/40 - 35*v**4/8 + 403*v**3/4 - 4563*v**2/4 - 399*v. Factor a(j).
3*(j - 13)**2*(j - 9)/2
Let i be (1886/(-120))/(-23) - (-30)/(-50). Let h(l) be the first derivative of -20 + i*l**3 + 0*l - 3/8*l**2. Determine z, given that h(z) = 0.
0, 3
Factor -2*t**3 + t**2 + 1/3*t**4 + 10/3*t + 0.
t*(t - 5)*(t - 2)*(t + 1)/3
Let x = -13179/5 - -2643. Let n(d) be the first derivative of x*d + 1/5*d**3 + 12/5*d**2 + 6. Factor n(b).
3*(b + 2)*(b + 6)/5
Let s(r) be the first derivative of r**4/4 - 14*r**3 + 144*r**2 - 544*r + 862. Solve s(w) = 0.
4, 34
Let s(b) be the third derivative of 2/135*b**6 + 0 - 1/135*b**5 - 39*b - b**2 + 0*b**3 - 2/27*b**4 + 2/945*b**7. Suppose s(n) = 0. Calculate n.
-4, -1, 0, 1
Let t(p) be the second derivative of 209*p**5/70 + 141*p**4/7 + 292*p**3/7 + 40*p**2/7 - 5374*p. Factor t(o).
2*(o + 2)**2*(209*o + 10)/7
Let b = 1/2361 - -15739/2361. Let g(w) be the first derivative of 25*w + 6 - 45/2*w**2 + b*w**3. Suppose g(o) = 0. Calculate o.
1, 5/4
Let g(s) be the third derivative of 1/150*s**6 - 2/15*s**3 + 7/60*s**4 + 20*s**2 - 1/840*s**8 + 2/525*s**7 - 4/75*s**5 + 0 - s. Suppose g(f) = 0. What is f?
-2, 1
Let s(q) be the second derivative of 3*q**5/40 + 179*q**4/4 - 719*q**3/4 + 270*q**2 + 2*q - 1120. Factor s(j).
3*(j - 1)**2*(j + 360)/2
Suppose -50*z - 708 - 106 = -215*z + 176. Determine m so that z*m**2 + 12 - 3/4*m**3 - 15*m = 0.
2, 4
Let z(k) be the first derivative of k**4/8 - 897*k**3/2 + 2413827*k**2/4 - 721734273*k/2 - 1678. Solve z(b) = 0.
897
Let x = -3/152740 - -1680149/458220. Factor 1 + 8/3*u**2 + x*u.
(u + 1)*(8*u + 3)/3
Factor 105*d**5 - 66*d**5 - 38*d**5 + 8*d**4 + 2*d**4 - 5*d**4 - 57*d**3 + 99*d**2.
d**2*(d - 3)**2*(d + 11)
Let k be (-10)/(-3)*1638/84. Let y be ((-10)/(-8))/(k/26). Determine b so that -1/2 - 5/4*b + b**4 + 1/4*b**5 - y*b**2 + b**3 = 0.
-2, -1, 1
Let r(k) = 6*k + 2. Let t be r(-2). Let b be -2*t/15 - 2/3. Determine l so that -b*l - 4 + 2/3*l**2 = 0.
-2, 3
Let p(h) = -130*h**2 + 272215*h - 217872040. Let s(n) = -23*n**2 + 48038*n - 38448007. Let d(t) = 8*p(t) - 45*s(t). Factor d(y).
-5*(y - 1601)**2
Determine n so that -7*n - 27 - 3*n**2 + n**4 - n**3 - 4*n**3 + 39 - 22 + 24*n = 0.
-2, 1, 5
Let x(g) be the second derivative of -1/6*g**3 + 2*g + 1/4*g**4 + 1/20*g**5 - 3/2*g**2 + 20. Factor x(k).
(k - 1)*(k + 1)*(k + 3)
Factor 1119*z**4 - 1117*z**4 - 7*z**3 - 23*z**3.
2*z**3*(z - 15)
Suppose -3*u + 4 = -2*r, 8 = -39*u + 40*u + r. Let w(q) be the second derivative of 5*q**2 + 0 - 4*q - 5/2*q**3 - 5/6*q**u. Factor w(p).
-5*(p + 2)*(2*p - 1)
Let a(p) = 45*p**3 - 3435*p**2 + 148000*p + 151305. Let q(r) = -11*r**3 + 859*r**2 - 36999*r - 37827. Let m(k) = 6*a(k) + 25*q(k). Let m(c) = 0. What is c?
-1, 87
Solve 58/9*i**2 + 208/9*i + 4/9*i**3 + 10 = 0.
-9, -5, -1/2
Let a(v) = -4*v - 26. Let t be a(-7). Solve 26*z - 5*z**2 + 4*z**t - 32*z = 0.
-6, 0
Let u(s) be the first derivative of s**8/336 - s**7/21 + 2*s**6/9 + 2*s**3/3 + 58*s + 117. Let o(g) be the third derivative of u(g). Factor o(v).
5*v**2*(v - 4)**2
Let k be (5/(-20))/((-6)/40). Let w = 87479 - 87475. Factor 8/3*j + 0 - 1/3*j**5 + k*j**w - 4/3*j**2 - 2*j**3.
-j*(j - 2)**3*(j + 1)/3
Let i(q) be the third derivative of -q**5/60 + 49*q**4/8 + 74*q**3/3 - 723*q**2. What is g in i(g) = 0?
-1, 148
Let m = 355659 + -355659. Factor -3/4*z**2 - 27/4*z + m.
-3*z*(z + 9)/4
Let j be 1301/(-161324) - 1/(-124). Determine u, given that j - 4*u**3 + 0*u + 13/3*u**2 - 1/3*u**4 = 0.
-13, 0, 1
Let v(u) be the first derivative of -u**5/600 - u**4/12 - 5*u**3/3 + u**2 + 16*u - 71. Let t(s) be the second derivative of v(s). Suppose t(k) = 0. Calculate k.
-10
Let w = -2/259 - -1054/2331. Let n = -33619 - -33622. Factor 4/9*d**4 + 0 + 4/9*d - 4/9*d**n - w*d**2.
4*d*(d - 1)**2*(d + 1)/9
Factor -3444/23*v - 2/23*v**3 + 0 - 1726/23*v**2.
-2*v*(v + 2)*(v + 861)/23
Let j be ((-8)/(-28) - 1)*-1. Let z = -25115 - -25115. Determine w so that -2/7*w**2 + j*w**3 + z*w + 0 - 4/7*w**4 + 1/7*w**5 = 0.
0, 1, 2
Let p(o) be the first derivative of o**6/7 + 288*o**5/35 + 39*o**4 + 536*o**3/7 + 531*o**2/7 + 264*o/7 + 4762. Factor p(z).
6*(z + 1)**4*(z + 44)/7
Factor 2/5*m**2 + 516/5*m - 208.
2*(m - 2)*(m + 260)/5
Let l be (-5)/(30/(-4)) - 112/6. Let h be 6/(-54) - 38/l. What is y in 0 + 1/2*y**h - 1/2*y**3 + 0*y = 0?
0, 1
Find u, given that 26*u**4 + u**5 + 133238*u**2 - 133066*u**2 + 84*u + 28*u**3 + 85*u**3 = 0.
-21, -2, -1, 0
Let z = 1/3 - -7/6. Let m(b) be the first derivative of -z*b**2 - 1/3*b**3 - 9 - 2*b. Solve m(t) = 0.
-2, -1
Factor -4164/13*f + 2/13*f**2 + 2167362/13.
2*(f - 1041)**2/13
Factor p**4 + 8*p**4 + 30*p**3 - 1561*p**2 + 1570*p**2.
3*p**2*(p + 3)*(3*p + 1)
Let j be (20/(-3))/(10/(-75)). Suppose -b + j = -18. Determine n, given that -320*n**4 + 66 - 20*n + 105*n**5 - 38 + 450*n**2 - b + 5*n**3 = 0.
-1, -2/7, 1/3, 2
Let o(s) be the first derivative of -s**5 + 53*s**4/2 - 207*s**3 + 580*s**2 - 208*s - 649. Factor o(m).
-(m - 13)*(m - 4)**2*(5*