= 0. Calculate o.
0
Suppose -32*s + 30*s**2 + 34*s**3 - 2*s**5 + 2792*s**4 - 5620*s**4 + 2798*s**4 = 0. What is s?
-16, -1, 0, 1
Let o = 952432 - 2857295/3. What is c in 0 - o*c**3 + 1/6*c**4 + 4/3*c - 2/3*c**2 = 0?
-2, 0, 2
Let b(l) be the third derivative of -8*l**2 - 10/7*l**4 + 0 - 47/210*l**5 - 75/14*l**3 - 1/1470*l**7 - 14*l - 2/105*l**6. Factor b(q).
-(q + 3)**2*(q + 5)**2/7
Suppose -4*b + 2*x = 4*x - 30, 4*b = 3*x + 45. Let g be ((-244)/(-28) - b)/(1 - 2). Determine k so that -g*k - 6/7*k**2 - 4/7*k**3 + 0 = 0.
-1, -1/2, 0
Suppose -12*u - 112 = -68*u. Suppose -t = -6*n + n - 24, 0 = 5*t + 4*n - 4. Factor t*k + 4 - 4 + 13*k**u - 9*k**2.
4*k*(k + 1)
Let f(v) = -v**2 - 17*v + 21. Let o be f(-18). Let 14*n - 3*n + 10*n + 10*n - o*n + 4*n**2 = 0. Calculate n.
-7, 0
Suppose -5*v + 5*q - q + 26 = 0, -q - 14 = -5*v. What is z in 1039 + 1045 + z + 4*z**v - 2084 = 0?
-1/4, 0
Let o be (-15)/((-1650)/1232) + (-10 - -2). Find g, given that -1/5*g**2 - o + 8/5*g = 0.
4
Let o(t) be the second derivative of -1/60*t**5 - 3 - 1/18*t**4 + 0*t**2 + 0*t**3 + 1/90*t**6 + 4*t. Factor o(k).
k**2*(k - 2)*(k + 1)/3
Let b(a) = -5*a**3 - 228*a**2 + 702*a - 6. Let i(v) = 26*v**3 + 1140*v**2 - 3510*v + 32. Let c(x) = -16*b(x) - 3*i(x). Factor c(s).
2*s*(s - 3)*(s + 117)
Let b(u) = 14*u**3 - 4*u**2 + 4*u - 1. Let j be b(1). Suppose -j = -2*r + 17. Factor 4*m + 5*m - 22*m**3 + 27 - r*m**2 + 25*m**3.
3*(m - 3)**2*(m + 1)
Suppose 4*d - 2*d - 3*o = 23, 0 = -4*d - 5*o - 9. Solve -20*p + d*p**2 - 3*p**2 + 2*p**2 - 16 - 2*p = 0.
-2/3, 8
Let w be (-2)/(-7 + 276/36) + 6 + -1. Let x(y) be the second derivative of 1/7*y**4 - 2/7*y**3 - 17*y + 2/7*y**w - 1/35*y**5 + 0. Let x(n) = 0. What is n?
1
Let n be 3/6*8*(-135)/(-72). Let f(o) be the first derivative of n*o**2 - 8 - 5/3*o**3 - 10*o. Factor f(w).
-5*(w - 2)*(w - 1)
Let i(q) be the second derivative of -q**6/10 - 3*q**5/4 - 3*q**4/4 + 9*q**3/2 + 552*q + 2. Factor i(c).
-3*c*(c - 1)*(c + 3)**2
Suppose 3*s - 79 = 119. Let v be 6/33 + 2958/s. Suppose 189*a**2 + 6*a**3 + 2*a**4 - v*a**2 + 2*a**4 + 42*a**3 = 0. What is a?
-6, 0
Let r be -6 - (-4)/(-18)*18438/28. Let f = r - -153. Factor 0 + 1/3*g**4 - f*g + 1/9*g**5 - 1/3*g**3 - 11/9*g**2.
g*(g - 2)*(g + 1)**2*(g + 3)/9
Let g(i) be the third derivative of -i**5/12 + 845*i**4/2 - 856830*i**3 - 754*i**2 - 2*i. Factor g(t).
-5*(t - 1014)**2
Let o(u) be the first derivative of 5*u**3/3 - 175*u**2/2 + 750*u + 2430. Factor o(z).
5*(z - 30)*(z - 5)
Let y(t) be the first derivative of t**3/4 + 213*t**2/4 - 216*t + 7824. Solve y(s) = 0 for s.
-144, 2
Suppose 3*m + m + q - 4 = 0, -3*m - 12 = -3*q. Let d(z) be the second derivative of 12*z + 1/24*z**3 + m - 1/24*z**4 + 1/8*z**2. Factor d(l).
-(l - 1)*(2*l + 1)/4
Let b(s) be the second derivative of -s**6/6 + 6*s**5 - 75*s**4/4 + 55*s**3/3 + 434*s. Factor b(m).
-5*m*(m - 22)*(m - 1)**2
Let f = 363919/6 - 60360. Let o = f + -293. Factor -o*b - 5/6*b**3 + 0 - b**2.
-b*(b + 1)*(5*b + 1)/6
Let m(g) be the first derivative of -g**4/12 - 25*g**3/9 - 56*g**2/3 + 196*g + 459. Factor m(b).
-(b - 3)*(b + 14)**2/3
Suppose g = 3*g - 6. Suppose -111*m + 20 = -91*m. Let v(w) = 2*w**2 - 1. Let a(f) = -4*f**2 + 12*f + 13. Let z(y) = g*v(y) + m*a(y). Factor z(s).
2*(s + 1)*(s + 5)
Let -519/4*p**3 - 1026 - 3/4*p**5 + 1143*p + 69/2*p**2 - 21*p**4 = 0. What is p?
-19, -6, 1, 2
Let w(b) be the first derivative of -9*b**4/4 - 287*b**3 + 144*b**2 - 2577. Factor w(v).
-3*v*(v + 96)*(3*v - 1)
Let m(q) be the first derivative of -2*q**3/9 + 37*q**2/3 - 140*q/3 - 2746. Factor m(i).
-2*(i - 35)*(i - 2)/3
Let w(f) be the second derivative of f**9/37800 - f**8/16800 - f**7/3150 + 5*f**4/12 - 9*f**2/2 - 27*f. Let b(j) be the third derivative of w(j). Factor b(l).
2*l**2*(l - 2)*(l + 1)/5
Let c(a) be the second derivative of -4/57*a**3 - 1/95*a**6 - 1 + 4/19*a**2 - 7/95*a**5 - 1/6*a**4 + 29*a. Let c(o) = 0. What is o?
-2, -1, 1/3
Let -350/13 + 80/13*r - 2/13*r**2 = 0. What is r?
5, 35
Let z(d) = 4*d**3 + 343*d**2 + 7260*d + 78. Let a be z(-38). Factor -1/3*q**3 + a - 11/3*q + 2*q**2.
-(q - 3)*(q - 2)*(q - 1)/3
Factor 63/8*b**3 - 225 + 1105/8*b - 1/8*b**4 + 633/8*b**2.
-(b - 72)*(b - 1)*(b + 5)**2/8
Let z be (76/(-570))/((-64)/96). Let 36/5 + 16/5*q - z*q**2 = 0. What is q?
-2, 18
Let u(w) be the second derivative of 1/60*w**5 - 19/6*w**3 + 0 + 30*w + 0*w**4 + 0*w**2 - 1/2340*w**6. Let f(z) be the second derivative of u(z). Factor f(c).
-2*c*(c - 13)/13
Let x(h) = -9*h**2 + 70*h - 121. Let k be x(5). Let b(a) be the first derivative of -1/8*a**k - 2/3*a**3 + 16 + 2*a + 1/4*a**2. Factor b(i).
-(i - 1)*(i + 1)*(i + 4)/2
Let f(o) be the first derivative of -5*o**6/6 + 87*o**5/5 + 291*o**4/4 - 7735*o**3/3 + 1521*o**2 + 1905. Find a, given that f(a) = 0.
-9, 0, 2/5, 13
Factor 68*o**3 - 32 + 406*o**2 - 5*o**3 - 14*o**2 - o**5 + 32 - 6*o**4.
-o**2*(o - 8)*(o + 7)**2
Let q(y) = -72*y**2 + 11984*y + 8024. Let c(u) = -43*u**2 + 7190*u + 4814. Let x(g) = 12*c(g) - 7*q(g). Factor x(o).
-4*(o - 200)*(3*o + 2)
Let o = -369 - -380. Suppose o*h - 90 = -19*h. Factor -11/4*j**2 - 3*j - 1/2*j**h + 9/4.
-(j + 3)**2*(2*j - 1)/4
Let p(h) be the second derivative of -h**6/480 + h**5/12 - 25*h**4/24 - 91*h**2/2 - h - 42. Let w(q) be the first derivative of p(q). Solve w(j) = 0 for j.
0, 10
Let c(i) = -2*i**2 - 21*i + 67. Let l be c(-12). Let f(z) be the second derivative of 1/12*z**4 + 0*z**5 + 0 - 1/4*z**2 + 0*z**3 + l*z - 1/60*z**6. Factor f(d).
-(d - 1)**2*(d + 1)**2/2
Let c(l) = 3*l**3 + 6*l**2 + 6*l + 3. Let f = 249 + -240. Let x(v) = v**3 + 3*v**2 + 3*v + 1. Let u(j) = f*x(j) - 4*c(j). What is b in u(b) = 0?
-1, 1
Let z(h) be the first derivative of h**4/4 + 356*h**3 + 190104*h**2 + 45118016*h + 2257. Factor z(t).
(t + 356)**3
Let k(d) be the first derivative of 0*d - 3/8*d**4 - 10 - 1/5*d**5 - 1/24*d**6 - 5/2*d**2 - 1/3*d**3. Let c(u) be the second derivative of k(u). Factor c(q).
-(q + 1)**2*(5*q + 2)
Let p(x) be the second derivative of -x**4/20 - 2257*x**3/10 + 5898*x. Let p(i) = 0. What is i?
-2257, 0
Suppose -67*a + 53*a = -88*a - 10*a + 168. Suppose 16/5 + 4/5*m - 2/5*m**a = 0. Calculate m.
-2, 4
Let b(k) = -30*k**2 - 988*k + 66. Let l be b(-33). Determine w, given that -1/6*w**5 + 0*w + l - 3/2*w**3 - 2/3*w**2 - w**4 = 0.
-4, -1, 0
Let y(i) be the third derivative of -i**7/63 + 347*i**6/180 - 26*i**5/5 - 137*i**4/9 + 272*i**3/9 + 6146*i**2. Suppose y(v) = 0. What is v?
-1, 2/5, 2, 68
Let v(t) be the second derivative of t**6/75 - 273*t**5/25 + 109*t**4/6 - 6754*t. Factor v(j).
2*j**2*(j - 545)*(j - 1)/5
Let z(a) = -74*a**2 - 16*a - 19. Let f(v) = -42*v**2 - 8*v - 10. Let k(c) = -7*f(c) + 4*z(c). Determine u, given that k(u) = 0.
-3, -1
Let m = 159855 + -159855. Find x such that -14/9*x + 2/9*x**2 + m = 0.
0, 7
Suppose 5*x - 15 = 5*q, 4*x + q = -5 + 27. Factor -9 + 2 - 13 - x*p**2 + 6*p - 31*p.
-5*(p + 1)*(p + 4)
Suppose -j - 4*j + 4*b + 60 = 0, -4*b = 5*j - 20. Suppose 4*k + 44 = j*k. Solve 23*d - k*d**3 - 10*d**2 - 4*d - 155*d**3 - 7*d + 56*d**4 = 0.
-2/7, 0, 1/4, 3
Let b(l) be the second derivative of -l**7/84 + 49*l**6/20 - 2589*l**5/20 - 8213*l**4/12 - 5575*l**3/4 - 5625*l**2/4 - 2217*l. Let b(w) = 0. What is w?
-1, 75
Let m(x) be the first derivative of x**4/2 - 334*x**3/3 + 5329. Factor m(q).
2*q**2*(q - 167)
Factor 0*w**4 + 0 - 2/11*w**3 + 2/11*w**5 + 0*w**2 + 0*w.
2*w**3*(w - 1)*(w + 1)/11
Suppose 12*x - 28 = 10*x. Let l be (14/(-4))/(x/(-56)). Let -2 + l*q + 3*q**2 - 8*q - 7 = 0. Calculate q.
-3, 1
Determine v so that 436*v + 1243/3*v**2 + 84 - 25/3*v**4 - 4/3*v**5 + 166/3*v**3 = 0.
-6, -1, -1/4, 7
Solve -256*w + 56*w**2 - 5*w**2 - 23*w**2 - 804 - 24*w**2 = 0.
-3, 67
Let t(z) be the second derivative of -z**5/50 + 182*z**4/3 - 165620*z**3/3 + 414*z. Factor t(w).
-2*w*(w - 910)**2/5
Suppose 14 = 2*u + 2*y, 58 - 128 = -3*u - 10*y. What is t in 5/2*t**4 + u - 15*t + 5/2*t**2 + 10*t**3 = 0?
-3, -2, 0, 1
Suppose 13*k - 8*k - 60 = 0. Let c(n) = -n + 15. Let y be c(-11). Factor 12 + k*d - y*d - 4 - 2*d**2 + 20*d.
-2*(d - 4)*(d + 1)
Let b be -1 + 164/(-28) + (-19 - 1 - -19) - -10. Factor -51/7*z**2 - 12/7*z**3 + b + 48/7*z.
-3*(z - 1)*(z + 5)*(4*z + 1)/7
Factor 462/17*o + 230/17 + 2/17*o**3 + 234/17*o**2.
2*(o + 1)**2*(o + 115)/17
Suppose 23*a + 9 = 26*a. Let k be (a + (-28)/8