*c + 168*c - 24 = q. Determine s so that 11/6*s**2 + 0 + 1/6*s**5 - 2/3*s + 1/6*s**4 - 3/2*s**c = 0.
-4, 0, 1
Let z be (-142)/1775 + 1*(-4058)/(-100). Factor 90*l - 59*l**2 - 1/2*l**4 - z + 10*l**3.
-(l - 9)**2*(l - 1)**2/2
Let r(a) = -46*a**2 + 92*a - 22. Let c = 87 - 85. Let k(t) = 91*t**2 - 184*t + 45. Let h(z) = c*k(z) + 5*r(z). Factor h(p).
-4*(3*p - 5)*(4*p - 1)
Let y be (2673/9882)/(-2 - (-15)/12). Let l = 227/122 + y. Factor 3/4*n - 3/4*n**2 + l.
-3*(n - 2)*(n + 1)/4
Let w(v) = -85*v - 16. Let g be w(-1). Factor -g*p**4 - 36*p**3 + 25*p**4 + 24*p**4 + 162*p**2 + 22*p**4.
2*p**2*(p - 9)**2
Let b(y) = -3*y - 21. Let j be b(5). Let i = j + 49. Let 8 + 2*h + 5*h**3 - i*h**2 + 5*h**3 - 7*h**3 = 0. What is h?
-2/3, 1, 4
Let o(g) be the second derivative of -2*g**6/15 + 8*g**5 - 24*g**4 - 320*g**3/3 + 608*g**2 - 9783*g. Factor o(d).
-4*(d - 38)*(d - 2)**2*(d + 2)
Let s be 16430 + -16438 + 22/2 + 0. Factor -1/5*h**s + 0*h**2 + 4/5*h + 0.
-h*(h - 2)*(h + 2)/5
Let u(b) = -12*b**3 + 10120*b**2 - 20188*b + 10064. Let s(i) = 5*i**3 - 4337*i**2 + 8652*i - 4313. Let f(k) = 16*s(k) + 7*u(k). Factor f(l).
-4*(l - 360)*(l - 1)**2
Let r(f) be the second derivative of f**4/102 - f**3/51 - 42*f**2/17 - f + 1893. Factor r(a).
2*(a - 7)*(a + 6)/17
Suppose 0 = 20*u - 13*u - 56. Determine d, given that -u - d**2 + 8*d**3 - 9*d + 3*d**4 - 9*d + 4*d = 0.
-2, -1, 4/3
Find o such that 395/3 + 1/6*o**2 + 791/6*o = 0.
-790, -1
Suppose 4*n - 10 = 2*v, 5*n + 18 = -4*v - 2. Suppose n = -k + 3. Suppose 0*l**3 + 6*l**2 + 10*l**3 - k*l + 4*l**3 - 17*l**3 = 0. Calculate l.
0, 1
Find x such that 913952*x + 14480427/5 - 1/5*x**4 + 504/5*x**3 - 84162/5*x**2 = 0.
-3, 169
Find a, given that 2*a**5 + 3*a**5 - 180*a**3 + 2962*a - 2947*a + 217*a**2 - 460*a**2 + 630 - 227*a**2 = 0.
-3, -2, 1, 7
Factor 138/5*a**2 + 9/5*a**3 - 324/5*a + 216/5 - 18/5*a**4 + 3/5*a**5.
3*(a - 3)*(a - 2)**3*(a + 3)/5
Let b be (0/(-8))/((3 + 2)*(-4)/(-10)). Find x, given that -x + b*x**2 + 0 + 17/4*x**3 + 5/4*x**5 + 9/2*x**4 = 0.
-2, -1, 0, 2/5
Let s be 10/(-2)*12/(-10). Let b(o) = 2*o**2 - 12*o + 10. Let f(r) be the first derivative of -r**3/3 + r + 685. Let x(c) = s*f(c) + b(c). Solve x(u) = 0.
-4, 1
Let h(m) be the second derivative of 1 + 1/90*m**5 + 0*m**2 - 1/18*m**4 - 2*m + 1/189*m**7 + 1/45*m**6 - 2/27*m**3. Determine c so that h(c) = 0.
-2, -1, 0, 1
Let t = -27380/7 - -301194/77. Factor 24/11 - t*v - 2/11*v**2.
-2*(v - 3)*(v + 4)/11
Let c(p) be the third derivative of -p**8/1512 + p**7/63 + 19*p**6/180 - 911*p**5/270 - 230*p**4/9 + 400*p**3/3 + 2*p**2 - 186*p. Let c(f) = 0. Calculate f.
-5, 1, 12
Let q be -1 + 1 - (12/(-40))/((-306)/(-136)). Factor -2/15*x**4 + 2/5 + 28/15*x**2 - 4/5*x**3 + q*x**5 - 22/15*x.
2*(x - 1)**4*(x + 3)/15
Let z(h) = h + 8. Let l be z(-5). Factor 19*i**2 - 2*i - 68*i**l - 3*i**2 + 58*i**3 - 4.
-2*(i - 1)**2*(5*i + 2)
Let i(k) = -10*k**2 - 55*k + 294. Let y(z) = -7*z**2 - 37*z + 195. Let w(d) = 5*i(d) - 7*y(d). Factor w(t).
-(t - 5)*(t + 21)
Let a(r) be the first derivative of r**4/2 - 492*r**3 + 181548*r**2 - 29773872*r - 1148. Suppose a(p) = 0. What is p?
246
Factor 2/9*l**3 + 56/3*l - 38/9*l**2 + 0.
2*l*(l - 12)*(l - 7)/9
Factor 16442*t**4 + 35069 - 16441*t**4 - 28800*t - 4444 - 1826*t**2.
(t - 49)*(t - 1)*(t + 25)**2
Let u(o) be the first derivative of 18*o - 1/9*o**3 - 1/10*o**5 + 12 + 0*o**2 - 1/6*o**4 - 1/45*o**6. Let n(v) be the first derivative of u(v). Factor n(m).
-2*m*(m + 1)**3/3
Let h be (4/((-16)/17))/((-39253)/272462). Factor -h*y + 30 - 1/2*y**2.
-(y - 1)*(y + 60)/2
Suppose 186*w = 18*w + 54*w + 35*w + 474. Factor -11/4*x + 1/4*x**2 + w.
(x - 8)*(x - 3)/4
Let j(s) = -s**2 + 7*s - 1. Let o be j(5). Let d = -51 - -57. Factor -5*m**3 - o*m**2 + 26*m - 11*m**2 + 5*m**4 - d*m.
5*m*(m - 2)*(m - 1)*(m + 2)
Let x(f) be the first derivative of 13/3*f + 1/24*f**4 + 8/9*f**3 + 284 + 41/12*f**2. Suppose x(r) = 0. Calculate r.
-13, -2, -1
Let t(o) = -o**2 + 39*o - 245. Let i be t(31). Factor 16/11*w**2 + 18/11*w - 2/11*w**i + 0.
-2*w*(w - 9)*(w + 1)/11
Let s(k) be the first derivative of -k**4/4 - 55*k**3/3 + 2374. Factor s(w).
-w**2*(w + 55)
Let z(d) = 7*d**4 - 9*d**3 - 2*d**2. Let s(v) = 32 - 32 - 2*v**2 + v**4 + v**2. Let y(u) = 22*s(u) - 2*z(u). Determine x, given that y(x) = 0.
-3, 0, 3/4
Let h = -159/2776 - -2241/2776. Let -1/4*y**3 + 5/4*y + 1/4*y**2 + h = 0. What is y?
-1, 3
Suppose 2/3*z**4 + 0 - 56*z**2 + 0*z - 16/3*z**3 = 0. Calculate z.
-6, 0, 14
Let j(h) = 9*h**5 - 57*h**4 + 351*h**3 - 723*h**2 + 618*h - 198. Let q(d) = -d**5 - d**3 + d + 1. Let w(u) = -j(u) - 6*q(u). Suppose w(z) = 0. Calculate z.
1, 8
Let a = 162 + -156. What is p in 4*p**3 + a*p**3 + 508*p**4 - 501*p**4 + p**5 = 0?
-5, -2, 0
Let i(o) be the third derivative of o**8/2240 - 13*o**7/840 - 41*o**4/8 + o**2 - 1. Let q(g) be the second derivative of i(g). Suppose q(d) = 0. Calculate d.
0, 13
Let x(i) be the first derivative of -i**4/16 + 9*i**3/4 + 7*i**2/2 - 685. Factor x(f).
-f*(f - 28)*(f + 1)/4
Let v be 4/49 + (-548720)/(-88445). Suppose -96/7 - 4/7*h**2 + v*h = 0. Calculate h.
3, 8
Let r(u) be the third derivative of u**5/30 - 361*u**4/6 + 480*u**3 + u**2 + 470*u - 2. Factor r(o).
2*(o - 720)*(o - 2)
Suppose -4*t = -4*z - 168, 5*z = -8*t + 3*t - 160. Let r = z - -39. Solve 14*c**2 + r*c + 2 + 2*c**3 - 8*c**4 - 6 + 0 - 2*c**4 - 4*c**5 = 0 for c.
-2, -1, 1/2, 1
Let i be 7 + 3 + 20825/(-2074). Let s = i - -503/366. Solve -s*u**2 - 2/3 + 1/3*u**3 + 5/3*u = 0 for u.
1, 2
Suppose 248*p = 253*p - 10. Factor 152*u**3 + 185*u**4 - 157*u**4 + 72*u - 21*u**2 + 249*u**p.
4*u*(u + 2)*(u + 3)*(7*u + 3)
Let k be 0/(-2) - (3 - 3). Let c = -623/5 - -125. What is d in 0*d**2 - 2/5*d**5 - c*d + 4/5*d**3 + 0 + k*d**4 = 0?
-1, 0, 1
Let s(i) = -44*i + 82. Let w(m) = m**2 - 129*m + 163. Let b(t) = -5*s(t) + 2*w(t). Solve b(g) = 0.
-2, 21
Factor 9/2*y**2 - 24 - 3/4*y**3 + 8*y - 1/4*y**4.
-(y - 3)*(y - 2)*(y + 4)**2/4
Let 76/3*r**2 - 4/3*r**5 + 0 - 40*r - 4*r**4 + 20*r**3 = 0. Calculate r.
-5, -2, 0, 1, 3
Let c(y) be the second derivative of -2*y**4 - 9/10*y**5 - 1/10*y**6 + 27/2*y**2 + 142*y + 0 + 3*y**3. Factor c(v).
-3*(v - 1)*(v + 1)*(v + 3)**2
Let o(u) be the third derivative of -u**6/24 - 5*u**5/6 + 685*u**4/24 + 255*u**3 - 344*u**2 + u. Factor o(d).
-5*(d - 9)*(d + 2)*(d + 17)
Let o(a) = -13*a**2 + 4*a + 354. Let w(x) = 3*x**2 - 88. Let q(d) = -2*o(d) - 9*w(d). Factor q(z).
-(z - 6)*(z + 14)
Let 2*z**4 - 14/5*z**3 - 2/5*z**5 - 2/5*z**2 - 8/5 + 16/5*z = 0. What is z?
-1, 1, 2
Let c(m) be the second derivative of -31/27*m**3 + 4/27*m**4 + 1/90*m**5 + 22/9*m**2 + 2*m - 19. Factor c(p).
2*(p - 2)*(p - 1)*(p + 11)/9
Let q(k) be the third derivative of -k**5/15 + 41*k**4/6 - 272*k**3 + 10490*k**2. Factor q(s).
-4*(s - 24)*(s - 17)
Let t(a) be the first derivative of 97 - 5/16*a**4 - 1/20*a**5 + 1/3*a**3 + 9/4*a + 33/16*a**2 + 1/48*a**6. What is v in t(v) = 0?
-2, -1, 3
Let y be (2 - (-3)/9)*(-9 - -3). Let q be y/175*5 - 24/(-10). Determine r, given that -74 + 74 + 2*r - 60*r**3 + 9*r**q + 4*r = 0.
-1/4, 0, 2/5
Let h(g) = 12*g**2 - 1184*g + 136242. Let l(b) = b**2 - 14*b. Let x(i) = -2*h(i) + 20*l(i). Factor x(r).
-4*(r - 261)**2
Let f = -19976 - -19976. Let b(z) be the second derivative of 10/3*z**3 + f - 25/12*z**4 + 1/4*z**5 - 38*z + 0*z**2. Determine q, given that b(q) = 0.
0, 1, 4
Let c be 1/(-9)*(-28)/((-4704)/(-252)). Determine y so that 19/2*y + c*y**5 + 5/3*y**4 + 3 + 34/3*y**2 + 19/3*y**3 = 0.
-3, -2, -1
Let q = 4977/27434 - -1/2494. Let m(w) = -w**3 + 7*w**2 + 3*w - 17. Let l be m(7). Suppose -q*b**l - 2/11*b**3 + 0*b**2 + 0 + 0*b = 0. What is b?
-1, 0
Let 1275*q + 1407/2*q**2 - 318 - 27/4*q**3 = 0. Calculate q.
-2, 2/9, 106
Let v = -14092 + 28195/2. Factor -81/2*c - 45/2*c**2 - 27 - 1/2*c**4 - v*c**3.
-(c + 2)*(c + 3)**3/2
Let n(r) be the third derivative of 5/6*r**3 - 1/240*r**6 - 1/12*r**5 + 0*r + 1/48*r**4 + 0 - 16*r**2. Factor n(v).
-(v - 1)*(v + 1)*(v + 10)/2
Let z(y) be the first derivative of y**4/26 - 38*y**3/13 + 216*y**2/13 - 424*y/13 + 1334. Factor z(h).
2*(h - 53)*(h - 2)**2/13
Let s(x) be the first derivative of x**4/14 + 776*x**3/7 + 338724*x**2/7 + 2731. Factor s(a).
2*a*(a + 582)**2/7
Let v(q) be the second derivative of -3*q**5/20 + 71*q**4/18 + 610*q**3/9 + 44*q**2 - 3*q - 31.