/(-540) - 3. Let -16*b**4 - 8*b - 92*b**2 + 172*b**2 + 58*b + i*b**g + 12*b**3 = 0. Calculate b.
-1, 0, 5
Factor 115*z - 229/2*z**2 - 1/2*z**3 + 0.
-z*(z - 1)*(z + 230)/2
Let q be (-6)/(-2)*8/12 + 73. Suppose -2*k - 3*t = -6*t - 31, 0 = -3*k - 5*t + q. Determine f so that 0*f**3 - 16*f**2 + 2*f**3 + k*f + 2*f**3 + 0*f**3 - 8 = 0.
1, 2
Let d be 18/15*-3 + 252/70. Solve 30/7*m**2 + 3/7*m**5 + d + 9/7*m + 18/7*m**4 + 36/7*m**3 = 0 for m.
-3, -1, 0
Let q(r) = 1. Let y(i) = 3*i**2 - 36*i + 30. Let s(k) = k - 10. Let z be s(11). Let f(p) = z*y(p) + 3*q(p). Factor f(n).
3*(n - 11)*(n - 1)
Let t(h) be the second derivative of -3*h**3/2 + 23*h**2/2 + 31*h. Let v be t(2). Factor -v*f**2 - 40*f - 136 - 167 + 223.
-5*(f + 4)**2
Let k = -1011692/3 + 337232. Factor 8/3*a**2 + k*a - 8/3 - 4/3*a**3.
-4*(a - 2)*(a - 1)*(a + 1)/3
Suppose -2*v = 3*y - 12, -192*y - v + 4 = -191*y. Factor 1/3*z**3 - 2/9*z**y + 0*z**2 + 0 + 0*z - 1/9*z**5.
-z**3*(z - 1)*(z + 3)/9
Let d(i) = -2*i**2 + 13*i - 7. Let m be d(6). Let j be (2 - 4/m)/2. Factor 9 + 0*p**2 - j*p**2 + 7 - 4 - 9*p.
-3*(p - 1)*(p + 4)
Let j(b) = 4*b**2 - 5*b + 1. Let k(d) = d**2 - 2*d - 1. Suppose 3*c + 15 = -2*c, -3*c - 19 = -s. Let i(q) = s*k(q) - 2*j(q). Factor i(y).
2*(y - 6)*(y + 1)
Factor -1/3*y**2 - 37/3*y - 12.
-(y + 1)*(y + 36)/3
Let p(y) = y**3 + 13*y**2 + 12*y + 2. Let a be p(-12). Factor 24 + a*z**3 - 44*z**2 - 53 - 371 + 280*z.
2*(z - 10)**2*(z - 2)
Let s(q) = 128*q**3 - 1216*q**2 - 1376*q - 44. Let o(u) = 383*u**3 - 3648*u**2 - 4129*u - 132. Let f(t) = 6*o(t) - 17*s(t). Suppose f(l) = 0. Calculate l.
-1, -2/61, 11
Let o(u) be the second derivative of -u**6/120 + 3*u**5/16 + 9*u**4/8 + u**3/6 - 9*u**2 + 1055*u. Factor o(i).
-(i - 18)*(i - 1)*(i + 2)**2/4
Let p(t) be the third derivative of t**8/84 - 4*t**7/105 - t**6/10 + 8*t**5/15 - 2*t**4/3 - 1317*t**2. Factor p(q).
4*q*(q - 2)*(q - 1)**2*(q + 2)
Let k = -26464 + 132346/5. Let -k*g**4 - 4/5*g - 28/5*g**2 - 9*g**3 + 0 - g**5 = 0. Calculate g.
-2, -1, -1/5, 0
Suppose -3*g - 5*w + 11 = 0, -9*g = -14*g + 3*w + 7. Find j, given that -4*j**g + 4 + 46*j + 2*j**2 - 40*j - 8 = 0.
1, 2
Factor 736*d**2 - 364*d**2 + 2124 - 1068*d - 369*d**2.
3*(d - 354)*(d - 2)
Let f be ((-52)/(-10) - 2)/(174/(-372215)). Let q = f - -7004. Let -776/21*t + 80/21 + 98/3*t**5 - 130/3*t**3 + 2252/21*t**2 - q*t**4 = 0. Calculate t.
-1, 2/7, 5
Let y(m) be the first derivative of -242*m**6/3 - 8096*m**5/5 - 4933*m**4 - 18008*m**3/3 - 3392*m**2 - 896*m + 3943. Find o, given that y(o) = 0.
-14, -1, -4/11
Let r(w) be the first derivative of -w**4/6 + 17*w**3/3 - 16*w**2 + 156*w + 67. Let j(p) be the first derivative of r(p). Find f, given that j(f) = 0.
1, 16
Let h(j) be the second derivative of -1/270*j**6 + 0*j**2 + 13/180*j**5 + 4 - 1/9*j**4 + 0*j**3 - 17*j. Suppose h(z) = 0. Calculate z.
0, 1, 12
Let u(a) be the second derivative of 71*a + 1/6*a**4 + 0*a**3 + 0 + 0*a**2. Let u(r) = 0. Calculate r.
0
Let u be ((-88)/24*44/(-121))/8. Let a(p) be the second derivative of 0*p**2 - 1/20*p**5 + u*p**3 + 0*p**4 + 0 + 16*p. Factor a(o).
-o*(o - 1)*(o + 1)
Let y = 152777/10 - 76386/5. Factor i**3 - y*i**4 + 1/2 - i + 0*i**2.
-(i - 1)**3*(i + 1)/2
Let j(c) be the second derivative of -5/6*c**4 - 3 - 1/2*c**2 + 22*c - 11/6*c**3. Factor j(d).
-(d + 1)*(10*d + 1)
Let c(w) be the second derivative of 0 + 5/12*w**4 - 50*w**2 + 5/6*w**3 + 45*w. Suppose c(x) = 0. Calculate x.
-5, 4
Let x(d) = -14*d + 8. Let z be x(8). Let i = z + 106. Factor -40 - h**2 - 24*h**i - 20 - 160*h.
-5*(h + 6)*(5*h + 2)
Let s(h) be the first derivative of 20/3*h**3 + 1/4*h**5 + 22 + 25/12*h**4 + 10*h + 10*h**2. Let n(a) be the first derivative of s(a). Factor n(f).
5*(f + 1)*(f + 2)**2
Let k = 106389 + -212775/2. Factor 15/2 - 6*f - k*f**2.
-3*(f - 1)*(f + 5)/2
Factor 1/3*s**2 + 64/3*s + 448/3.
(s + 8)*(s + 56)/3
Let a(b) be the third derivative of -11/18*b**4 + 1/180*b**6 - 7*b**2 + 0*b**3 + 12*b - 7/30*b**5 + 0. Factor a(r).
2*r*(r - 22)*(r + 1)/3
Let 8*v + 2/3*v**3 + 0 + 26/3*v**2 = 0. Calculate v.
-12, -1, 0
Let x(j) be the third derivative of -56*j**2 + 1/15*j**7 + 0*j**3 + 1/6*j**4 + 0 + 0*j - 1/10*j**5 - 1/20*j**6 - 1/56*j**8. Factor x(k).
-2*k*(k - 1)**3*(3*k + 2)
Let t(w) = 2*w**2 - 10*w + 4. Let c(p) = -12*p - 82. Let g be c(-7). Let d(z) = 2*z**2 - 11*z + 3. Let x(k) = g*d(k) - 3*t(k). Factor x(i).
-2*(i - 3)*(i - 1)
Let l(r) be the second derivative of -r**6/10 + 273*r**5/10 - 8461*r**4/4 + 8190*r**3 - 12150*r**2 - 10*r + 35. Find c such that l(c) = 0.
1, 90
Suppose 7 = 4*x + 2*w - 83, -4*w - 12 = 0. Suppose -5*s = -16 - x. Determine y, given that -2*y**2 + 2*y + s - 6*y - 2*y**2 = 0.
-2, 1
Let d(p) be the first derivative of p**3/12 + 39*p**2/4 + 1197*p/4 + 7490. What is q in d(q) = 0?
-57, -21
Let p(t) be the second derivative of 109*t - 7/150*t**6 - 1/15*t**3 + 0 + 3/50*t**5 + 7/60*t**4 + 0*t**2 - 2/105*t**7. Suppose p(r) = 0. What is r?
-2, -1, 0, 1/4, 1
Let q(a) = -a**3 - 6*a**2 - 9*a. Let y be q(-4). Let x be (y/(-1) + 0)*(-14 - 2). Solve 139*h**3 - 32*h**2 + x*h + 114*h**3 - 281*h**3 - 4*h**4 = 0 for h.
-4, 0, 1
Suppose -37 + 690*v - 111 + 4*v**3 - 137*v**2 + 484*v - 137 = 0. What is v?
1/4, 15, 19
Let k(b) = b**3 - 6*b**2 + b - 4. Let y be k(6). Let g be (-21)/(-9) - 4 - 4186/(-2184). Factor 3/2 - 1/4*v**y - g*v.
-(v - 2)*(v + 3)/4
Let g be (-2)/33 + (13/1352*-48 - (-2183)/1716). Factor -1/2 - 1/4*v**2 - g*v.
-(v + 1)*(v + 2)/4
Factor 0 + 2*k + 12/5*k**2.
2*k*(6*k + 5)/5
Let l be (-1)/((14/8)/(-7)). Let d be l/3*(-9)/(-6). Suppose 10*p**5 - 17*p**5 + d*p**3 + 9*p**5 + 4*p**4 = 0. What is p?
-1, 0
Let m(s) = -6*s**4 - s**3 - 3*s**2 + 23*s + 21. Let x(v) = -v**4 - 3*v**2 - v + 1. Let o = 39 - 38. Let w(t) = o*m(t) - 5*x(t). Let w(g) = 0. What is g?
-2, -1, 4
Let w(k) = -k - 8. Let d be w(-13). Suppose 0 - d = -z. Factor 8*x + z*x + 2*x + 5*x**2.
5*x*(x + 3)
Suppose 3*d + 22 = -20. Let t = -9 - d. Suppose t - 11*b**2 - 49*b**2 - 10 - 28*b + 1 - 36*b**3 = 0. Calculate b.
-1, -1/3
Let a(s) = -s**2 + s + 1. Suppose -b - 3 + 5 = 0. Let j(p) = -p**2 - 3*p + 11. Let w(y) = -350*y - 348. Let t be w(-1). Let u(m) = b*j(m) + t*a(m). Factor u(z).
-4*(z - 2)*(z + 3)
Let w = -247 + 249. Let i = 1158/133 - 160/19. Factor 6/7*a - i*a**w + 0.
-2*a*(a - 3)/7
Factor 70*u + 84 - 3*u**2 - 65 + 5*u**2 + 161 + 68.
2*(u + 4)*(u + 31)
Let s(x) be the second derivative of -x**4/24 - 523*x**3/3 - 2091*x**2/4 - 4560*x. Suppose s(g) = 0. Calculate g.
-2091, -1
Let o(z) be the first derivative of -2*z**5/75 + z**4/30 + 4*z**3/45 + 1255. Determine q so that o(q) = 0.
-1, 0, 2
Let g(v) = -28*v**2 + 56*v - 92. Let x = -73 + 82. Let i(f) = -31 - x*f**2 + 14*f + 5*f + 0*f. Let q(d) = 5*g(d) - 16*i(d). Factor q(c).
4*(c - 3)**2
Factor 1/7*z**2 + 51529/7 - 454/7*z.
(z - 227)**2/7
Let b(a) = 43*a**3 - 674*a**2 - 683*a - 374. Let m(x) = -15*x**3 + 225*x**2 + 228*x + 132. Let k(u) = 6*b(u) + 17*m(u). Factor k(c).
3*c*(c - 74)*(c + 1)
Let v = -24 + 22. Let q(a) = -270*a. Let g be q(v). Factor 209 - 158 + c**3 + g*c - 90*c**2 + 4*c**3 - 1131.
5*(c - 6)**3
Let n(i) be the first derivative of -5*i**4/4 - 10*i**3 + 75*i**2/2 + 500*i + 9816. Factor n(l).
-5*(l - 4)*(l + 5)**2
Suppose -47 = -2*j - o, 3*o = -j + 2*o + 24. Let b = j + -21. Find k such that 3 + 12*k**2 - k**2 - 2*k - 9*k**b - 7 = 0.
-1, 2
Let l(x) be the first derivative of 2*x**2 - 1/6*x**3 + 6*x - 57 - 1/8*x**4. Factor l(k).
-(k - 3)*(k + 2)**2/2
Factor 112*h**2 - 1170 + 551*h**3 + 14*h**2 - 1041*h - 554*h**3.
-3*(h - 30)*(h - 13)*(h + 1)
Let s(b) be the second derivative of -49*b + 0 + 6/7*b**2 - 1/28*b**4 - 3/14*b**3. Factor s(j).
-3*(j - 1)*(j + 4)/7
Suppose -7*u + 36 = 5*u. Factor 57*l**3 - 53*l**u + 24*l**2 + 2*l + 18*l.
4*l*(l + 1)*(l + 5)
Let u = -7095 - -276707/39. Let y(q) be the first derivative of 14 + 128/13*q - 16/13*q**2 + u*q**3. Factor y(v).
2*(v - 8)**2/13
Let o(v) = v**3 + 13*v**2 - 15*v - 10. Let s be o(-14). Let k = 24/701 - -1330/2103. Find x such that -98/3 - 52*x**2 + 224/3*x - k*x**s + 32/3*x**3 = 0.
1, 7
Let w be ((-78)/(-13) - 6/3)/(-13 - -15). Let c(h) be the first derivative of 2/3*h**3 + 2*h**w + 0*h + 39. Let c(q) = 0. Calculate q.
-2, 0
Let f(j) be the second derivative of 3/50*j**5 - 7/30*j**3 + 1/30*j**6 - 8 - 3/10*j**2 - 1/30*j**4 + j + 1/210*