1*v**4 - 5*v**3/2 + 192*v + 3. Suppose d(i) = 0. Calculate i.
-1/5, 0, 1, 5
Let r(w) = -w**3 - 6*w**2 - 6*w - 2. Let i be r(-5). Let p = 2240 + -2238. Factor 3*x**2 - i*x**2 + x**2 - 10*x + 4*x**p.
5*x*(x - 2)
Suppose -u + 4*j - 7 - 11 = 0, 0 = -u - j + 7. Factor -6*z**3 + 113*z + 31*z - 96*z**u + 8*z**4 - 4*z**3 + 2*z**3 + z**5.
z*(z - 2)**2*(z + 6)**2
Let w(o) = o**3 + 17*o**2 - 23*o + 19. Let k be w(-18). Let g = k - 106. Factor 9/5*v**2 + 6/5 + 3/5*v**g - 3/5*v**4 - 3*v.
-3*(v - 1)**3*(v + 2)/5
Factor 3738*b + 652 + 595*b**2 + 205*b**3 + 1148 - 211*b**2 + 1634*b**2 + 3122*b + 7*b**4.
(b + 9)*(b + 10)**2*(7*b + 2)
Determine r so that -r**4 - 217*r + 2*r**2 + 61*r - 220 + 21*r**2 - 18*r**2 + 12*r**3 = 0.
-2, 5, 11
Let g(s) be the third derivative of -s**5/180 - 5*s**4/48 + 3*s**3/4 - 2*s**2 + 145. Factor g(x).
-(x + 9)*(2*x - 3)/6
Let a be ((-14)/(-231))/((-6)/(-1998)). Let l = a - 1044/55. Factor -l - 1/5*q**2 - q.
-(q + 2)*(q + 3)/5
Let i(f) be the first derivative of 3/4*f**4 - 104 + 24*f + 17*f**3 - 3*f**5 + 1/2*f**6 - 33*f**2. Let i(n) = 0. Calculate n.
-2, 1, 4
Let o(b) be the second derivative of b**4/12 + 123*b**3/2 - 185*b**2 + 3088*b. Factor o(l).
(l - 1)*(l + 370)
Let w(q) be the first derivative of -q**6/6 - 17*q**5/5 - 27*q**4 - 316*q**3/3 - 208*q**2 - 192*q + 1728. Suppose w(g) = 0. What is g?
-6, -4, -2, -1
Let w(h) = -h**3 + h**2 + 3*h - 3. Let y be w(-2). Let o be (y - 3) + (-93)/(-3) + -3. Factor -57*d + 9*d**4 + 24*d**2 + 29*d**3 + o*d + 33*d.
d*(d + 1)*(d + 2)*(9*d + 2)
Let m be (9903/2)/(36/24). Let p = 16946/5 - m. Suppose -4/5 - p*b**2 - 84/5*b = 0. What is b?
-2/21
Let b(j) = -j**4 - j**3 - 2*j**2 + 1. Let g(t) = -17*t**4 + 28*t**3 - 31*t**2 + 5. Let s(z) = 5*b(z) - g(z). Factor s(v).
3*v**2*(v - 1)*(4*v - 7)
Let z be 3/4*(-29 - -33). Suppose 2*b - 131 = 2*y - 157, 0 = 4*y - z*b - 57. Let 3/2*l**3 - 33/2*l + y*l**2 + 3 - 6*l**4 = 0. Calculate l.
-2, 1/4, 1
Let i(s) be the first derivative of -2*s**3/21 - 4302*s**2/7 - 9253602*s/7 + 13560. Find y such that i(y) = 0.
-2151
Let a(g) be the second derivative of 19*g - 549*g**4 + 187/5*g**5 - 14/15*g**6 + 3078*g**3 + 2916*g**2 + 1. Factor a(u).
-4*(u - 9)**3*(7*u + 2)
Let t(b) be the second derivative of 1/90*b**6 - 105 + 0*b**2 - 1/12*b**4 + 2*b - 1/30*b**5 + 0*b**3. Let t(s) = 0. Calculate s.
-1, 0, 3
Let r = 60/6473 - -38418/45311. Let -r + 39/7*d - 33/7*d**2 = 0. Calculate d.
2/11, 1
Let c = -93544 + 280760/3. Factor c*y + 8/3 - 1331/6*y**4 + 220*y**2 + 968/3*y**3.
-(y - 2)*(11*y + 2)**3/6
Let o = 260 + -260. Let y(i) be the third derivative of 0*i - 1/10*i**5 + o + 1/24*i**4 - 3*i**2 + 0*i**3. Factor y(c).
-c*(6*c - 1)
Suppose -179*v - 2385 = -188*v. Let h = v - 263. Determine j, given that 9/4*j - 5/2*j**4 - 3/4*j**5 + 1/2 - 3/2*j**3 + 2*j**h = 0.
-2, -1, -1/3, 1
Let l(y) = 31*y**2 + 170*y + 835. Let a(j) = -6*j**2 - 2. Let v(p) = -10*a(p) - 2*l(p). Factor v(x).
-2*(x + 5)*(x + 165)
Let x(u) be the first derivative of -2*u**6/3 + 36*u**5 - 675*u**4 + 4500*u**3 + 198. Factor x(p).
-4*p**2*(p - 15)**3
Let i be 320/48 - (-5)/(-3). Let l(k) be the second derivative of -9/8*k**2 + 0 + i*k - 1/2*k**3 - 1/16*k**4. Factor l(g).
-3*(g + 1)*(g + 3)/4
Let x = 10 - 8. Let w be (((-3)/(-1))/(-3))/((-17)/(816/30)). Factor 0 + w*o**x - 6/5*o - 2/5*o**3.
-2*o*(o - 3)*(o - 1)/5
Suppose 239 + 17 = 4*y. Let s = y - 39. Factor -113 - s*z**2 + 107 - 2*z**2 - 33*z.
-3*(z + 1)*(9*z + 2)
Let v be 6/66 - 172/(-44). Suppose 8*l = v*l + 2*n + 22, 0 = -2*l - 5*n + 5. Solve 8/7 - 26/7*m**2 + 18/7*m**4 + 2*m**l + 24/7*m - 38/7*m**3 = 0.
-2, -1, -2/7, 1
Suppose 28*c = 26*c + 66*c. Let p(d) be the second derivative of 0*d**2 - 30*d + c - 5/12*d**4 - 25/6*d**3. Find u, given that p(u) = 0.
-5, 0
Suppose -14 = -3*d + 13*m - 18*m, -d = -2*m - 1. Suppose 0 = -5*h + h - 20, -d*u - 9 = 3*h. Let 0 - 1/6*f - 1/3*f**u - 1/6*f**3 = 0. Calculate f.
-1, 0
Factor -f**2 + 37 - 148*f + 36 + 63 + 181*f - 28.
-(f - 36)*(f + 3)
Let t(k) be the third derivative of 82*k - 2*k**2 - 1/60*k**5 - 7/6*k**3 - 1/3*k**4 + 0. Factor t(z).
-(z + 1)*(z + 7)
Let y be 0/(-17) - (-6)/(-2). Let p be ((-46)/6 + 1)*y. Let 35*f**2 + 25*f**3 - 25*f - 7 + 12 - p*f**3 + 20*f**5 - 40*f**4 = 0. Calculate f.
-1, 1/2, 1
Let l(v) be the second derivative of 1/4*v**3 + 1/28*v**7 - 2 - 1/20*v**6 + 1/4*v**4 - 12*v - 3/20*v**5 - 3/4*v**2. Factor l(u).
3*(u - 1)**3*(u + 1)**2/2
Let j(h) be the first derivative of 64/39*h**3 - 19/13*h**2 + 4/13*h + 188 - 15/26*h**4. Factor j(m).
-2*(m - 1)**2*(15*m - 2)/13
Let z(w) be the first derivative of -3*w**5/10 - 75*w**4/8 - 69*w**3/2 - 201*w**2/4 - 33*w + 272. Solve z(q) = 0 for q.
-22, -1
Let y(b) be the first derivative of 2*b**5/45 + 43*b**4/18 + 1264*b**3/27 + 3584*b**2/9 + 4096*b/3 + 2966. Determine l so that y(l) = 0.
-16, -8, -3
Let c be 62/(10 + 1728/(-172)). Let z = c + 1336. Let 0 - 1/3*r**2 - 2*r + 1/3*r**z = 0. Calculate r.
-2, 0, 3
Let r(d) be the second derivative of d**7/210 + 47*d**6/180 - 8*d**5/15 + 41*d**4/4 + 134*d. Let p(a) be the third derivative of r(a). Factor p(v).
4*(v + 16)*(3*v - 1)
Let p(g) be the second derivative of -41*g**4/78 - 35*g**3/39 + 6*g**2/13 + 6002*g. Suppose p(w) = 0. Calculate w.
-1, 6/41
Let u = 289 - 284. Let j(h) = 19*h - 3. Let g be j(2). Find z, given that 0*z**3 - 321*z**5 - 6 + g*z**2 - 15*z**4 - 14 + 316*z**u + 5*z**3 = 0.
-2, -1, 1
Let v(r) be the third derivative of 4*r**5/75 + 37*r**4/60 - r**3 + 3431*r**2. Factor v(f).
2*(f + 5)*(8*f - 3)/5
Let q(m) = 3*m**4 - 7*m**3 + 50*m**2 + 4*m - 68. Let v(r) = 5*r**4 - 16*r**3 + 101*r**2 + 6*r - 137. Let h(f) = -7*q(f) + 4*v(f). Factor h(s).
-(s - 2)**2*(s + 1)*(s + 18)
Let i(s) be the third derivative of -1/40*s**5 + 0*s**4 + 0*s + 1/140*s**7 + 0*s**6 + 0*s**3 - 49 + 2*s**2. Factor i(y).
3*y**2*(y - 1)*(y + 1)/2
Let q(k) = 10*k**4 - 15*k**3 - 70*k**2 + 125*k - 55. Let z(u) = 5*u**4 - 8*u**3 - 35*u**2 + 62*u - 27. Let b(n) = -3*q(n) + 5*z(n). Let b(d) = 0. Calculate d.
-3, 1, 2
Let g(t) be the third derivative of t**5/90 + 4*t**4 + 284*t**3/9 + 931*t**2. Find c such that g(c) = 0.
-142, -2
Let t(g) be the second derivative of g**8/168 + 3*g**7/70 + 11*g**6/120 - g**4/6 - 157*g**2/2 - 120*g. Let s(z) be the first derivative of t(z). Factor s(n).
n*(n + 1)*(n + 2)**2*(2*n - 1)
Let d(x) be the first derivative of 10*x + 1/3*x**3 + 7/2*x**2 + 96. Let d(q) = 0. Calculate q.
-5, -2
Factor 14/5 + 2/5*i**2 + 16/5*i.
2*(i + 1)*(i + 7)/5
Find i such that -56*i**4 - 670*i**3 + 57*i**4 + 443556 + 113557*i**2 + 164957*i - 611177*i = 0.
2, 333
Let w(r) be the third derivative of -r**8/84 + 24*r**7/35 + 58*r**6/15 + 14*r**5/5 - 115*r**4/6 - 52*r**3 + 532*r**2 + 2*r - 2. Suppose w(y) = 0. What is y?
-2, -1, 1, 39
Determine y, given that -3*y**3 + 1233*y + 1047 + 424*y**2 - 328*y**2 + 87 = 0.
-9, -1, 42
Suppose -6/5*o**3 + 78/5*o + 18/5*o**2 - 18 = 0. Calculate o.
-3, 1, 5
Let n(k) be the third derivative of -k**8/1344 + k**7/840 + k**6/80 - 7*k**5/120 + 11*k**4/96 - k**3/8 - 2149*k**2. Factor n(q).
-(q - 1)**4*(q + 3)/4
Let u(b) be the third derivative of -b**7/2100 + b**6/50 - 7*b**5/50 + b**4/3 + 1017*b**2 - 1. Determine v, given that u(v) = 0.
0, 2, 20
Determine p so that -1/4*p**2 - 89/4*p + 0 = 0.
-89, 0
Let o be 108/126 + ((-6069)/(-98))/17. Let v(p) be the first derivative of -39 + o*p**2 - 12*p + 3/2*p**4 + 9*p**3. Factor v(b).
3*(b + 1)*(b + 4)*(2*b - 1)
Let w(p) be the third derivative of -48*p**2 - 1/180*p**6 - 2*p - 2/3*p**3 + 0 + 1/60*p**5 + 23/72*p**4. Suppose w(m) = 0. What is m?
-3, 1/2, 4
Let o be (-330)/(-33)*4904/10. Factor -4894*g + 6 + 5*g**2 + o*g - 21.
5*(g - 1)*(g + 3)
Let t(v) be the third derivative of -5*v**8/448 - 57*v**7/280 - 7*v**6/160 + 181*v**5/80 + 45*v**4/8 + 11*v**3/2 - 5045*v**2. Suppose t(m) = 0. What is m?
-11, -1, -2/5, 2
Let s be 10/16*(-260200)/1500. Let l = s - -435/4. Let 0 + 0*y - l*y**3 - 1/3*y**2 = 0. What is y?
-1, 0
Let n(h) be the third derivative of 2/105*h**7 - 1/3*h**4 + 0*h**3 - 1/15*h**5 + 1/15*h**6 + 17 + 2*h**2 + 0*h. Factor n(t).
4*t*(t - 1)*(t + 1)*(t + 2)
Let y(x) = 2*x**3 + 5*x**2 - 13*x + 6. Let w = -77 - -80. Let m(q) = -2 + 14*q**w + 1 - 13*q**3. Let a(j) = m(j) - y(j). Find b such that a(b) = 0.
-7, 1
Let t(w) = 2*w**2 + 2990*w + 1113044. Let z(q) = -2*q**2 - 