0, 1
Let a = 119 + -104. Suppose a*k**4 + 12*k**2 + 14*k**4 - 33*k**4 - 8*k = 0. What is k?
-2, 0, 1
Suppose 0 = -94*b + 123*b - 116. Let n(p) be the second derivative of 0 - 1/60*p**5 - 1/6*p**3 + 1/6*p**2 + 5*p + 1/12*p**b. Suppose n(y) = 0. Calculate y.
1
Let g(h) be the third derivative of h**8/12 + 76*h**7/105 + 13*h**6/10 - 12*h**5/5 - 572*h**2. Factor g(k).
4*k**2*(k + 3)**2*(7*k - 4)
Let h be -3 - (2 + 1635/(-315)). Factor 4/21*m**2 - h - 2/21*m**3 + 2/21*m.
-2*(m - 2)*(m - 1)*(m + 1)/21
Let i be 133/1140 + 4/30. Let t(p) be the second derivative of -13/24*p**4 + p - i*p**2 + 0 + 13/24*p**3 + 3/16*p**5. Factor t(a).
(a - 1)*(3*a - 1)*(5*a - 2)/4
Let f(y) be the third derivative of y**5/30 + 2*y**4/3 + y**2 + 13*y. Factor f(z).
2*z*(z + 8)
Let y(o) be the first derivative of -o**3/12 - 53*o**2/8 + 27*o/2 - 267. Determine v, given that y(v) = 0.
-54, 1
Let n = 1/229 - -226/687. Let j(z) be the second derivative of 6*z - 4*z**2 - n*z**4 + 2*z**3 + 0. Factor j(d).
-4*(d - 2)*(d - 1)
Suppose 0 = -738*g + 743*g + 1385. Let c = g + 277. Factor -2/5*t**4 + c - 6/5*t**3 + 8/5*t + 0*t**2.
-2*t*(t - 1)*(t + 2)**2/5
Let b(v) be the second derivative of -v**6/10 - 9*v**5/10 - 2*v**4 + 3*v**3 + 27*v**2/2 + 873*v. Factor b(p).
-3*(p - 1)*(p + 1)*(p + 3)**2
Let y(x) = 2*x**3 - 4*x**2 + 2. Let v(n) = -2 - 3*n + 4 + 2*n + 9. Let h be v(8). Let z(k) = 2*k**3 - 5*k**2 + k + 2. Let o(w) = h*y(w) - 2*z(w). Factor o(c).
2*(c - 1)**2*(c + 1)
Factor 71 - 44*z**2 - 31*z**3 + 16*z + 8*z**5 + 87*z**3 - 34*z**4 - 73.
2*(z - 1)**4*(4*z - 1)
Let x = -8455 + 16911/2. Solve -1/2*i**3 + 1/2*i**4 + 1/2*i + 0 - x*i**2 = 0.
-1, 0, 1
Let p = 93 - 34. Suppose -119 + 4*v**2 + 56 + p = 0. Calculate v.
-1, 1
Let m be 0*(2 - 5/2). Let y(h) = -h**3 + 13*h**2 - 15*h + 36. Let z be y(12). Factor -2/3*x**2 + z*x + 2/3*x**3 + m + 2/3*x**4 - 2/3*x**5.
-2*x**2*(x - 1)**2*(x + 1)/3
Let j(t) be the third derivative of 0*t - 2*t**2 + 0*t**5 + 1/24*t**4 + 0*t**3 - 1/120*t**6 + 0. Factor j(d).
-d*(d - 1)*(d + 1)
Let b(h) be the second derivative of -h**6/30 + h**4/12 - h**2/2 + 19*h. Let x(j) = 2*j**3 - 2*j**2 + 2. Let w(k) = -2*b(k) - x(k). Factor w(v).
2*v**3*(v - 1)
Let p(q) be the first derivative of q**5/45 - q**4/12 - 2*q**3/3 + 142. Factor p(x).
x**2*(x - 6)*(x + 3)/9
Let s(z) be the third derivative of -z**3 + 0*z + 1/4*z**4 + 0 - 1/40*z**5 + 14*z**2. Factor s(x).
-3*(x - 2)**2/2
Let u(v) be the third derivative of v**6/40 + 73*v**5/40 + 53*v**4/8 + 35*v**3/4 - 2*v**2 - 353*v. Let u(p) = 0. Calculate p.
-35, -1, -1/2
Let t(y) be the third derivative of y**7/945 + 11*y**6/270 - 4*y**5/15 + 37*y**4/54 - 25*y**3/27 + 92*y**2. Factor t(o).
2*(o - 1)**3*(o + 25)/9
Suppose -t - 17 = -u + 5*u, -9 = -2*u + 3*t. Let b be 5/u*(-90)/50. Find x such that 3/4*x**4 + 0 + 1/4*x - 1/4*x**b - 3/4*x**2 = 0.
-1, 0, 1/3, 1
Let n = -3547 - -14197/4. Suppose n*i - 3/4*i**2 - 3/2 = 0. What is i?
1, 2
Let s(p) be the third derivative of -p**8/112 - 4*p**7/35 - 21*p**6/40 - 9*p**5/10 + 160*p**2. Factor s(m).
-3*m**2*(m + 2)*(m + 3)**2
Determine f, given that -f + 11/4*f**4 - f**5 + 0 + 3/4*f**3 - 4*f**2 = 0.
-1, -1/4, 0, 2
Let p = 50 - 25. Let k be 1 + (-5)/(p/(-496)). Suppose 114/5*n - 192/5*n**5 + 48*n**4 + 9/5 + 828/5*n**3 + k*n**2 = 0. What is n?
-1, -1/4, 3
Let z(l) = l**2 - 2*l + 2. Let o be 2*(-4)/(-16)*4. Let a be z(o). Factor -4*y**a - 4*y + 9*y**2 - 25 - 6*y**2 - 6*y.
-(y + 5)**2
Suppose -92*r - 565*r - 143*r + 90*r**2 + 5*r**4 + 65*r**3 + 640 = 0. What is r?
-8, 1, 2
Let w(b) = 12*b**4 + 16*b**3 - 24*b**2 - 6*b. Let p(s) = 27*s**3 + 20*s**3 + 7*s - 24*s + 15*s**4 - 72*s**2 + 20*s**4. Let f(o) = -2*p(o) + 7*w(o). Factor f(t).
2*t*(t - 1)*(t + 2)*(7*t + 2)
Let n(g) = 14*g**2 + 7*g + 44. Let i(o) = 5*o**2 + 2*o + 15. Let x(f) = 17*i(f) - 6*n(f). Factor x(z).
(z - 9)*(z + 1)
Suppose -89*p - 2784 = -93*p. Let r = p - 7650/11. Factor 0*u**3 + r*u**2 + 0 - 2/11*u**4 + 4/11*u.
-2*u*(u - 2)*(u + 1)**2/11
Let g(c) = 3*c**3 - 5*c**2 + 2*c. Let v(f) = 16*f**3 - 26*f**2 + 10*f. Suppose -4*z + 11 = 3. Let l(k) = z*v(k) - 11*g(k). Suppose l(s) = 0. What is s?
0, 1, 2
Let c(h) be the third derivative of h**8/672 + h**7/420 - h**6/20 - 2*h**5/15 + 2*h**4/3 + 4*h**3 + 28*h**2. Factor c(j).
(j - 3)*(j - 2)*(j + 2)**3/2
Let u = -137/5 - -2471/90. Let s = 23/18 + u. Solve 4/3*z**3 + 2/3 + 2/3*z**4 - s*z**2 - 2/3*z - 2/3*z**5 = 0 for z.
-1, 1
Factor -17/4*v**3 - 3/4*v**4 + 0 + 2*v**2 + 3*v.
-v*(v - 1)*(v + 6)*(3*v + 2)/4
Let u(p) = 9*p**3 - 29*p**2 + 6*p + 4. Let w(l) = -10*l**3 + 28*l**2 - 6*l - 4. Suppose 5*y - 25 = -5. Let v(c) = y*u(c) + 5*w(c). Factor v(x).
-2*(x - 1)**2*(7*x + 2)
Let -7*q - 8*q - 4*q**2 - 11*q + 46 - 64*q = 0. Calculate q.
-23, 1/2
Solve 3/2 + 9/8*b**4 + 15/2*b + 87/8*b**2 + 6*b**3 = 0.
-2, -1, -1/3
Let x(t) be the second derivative of 0 + 1/18*t**4 + 3*t**2 - 2/3*t**3 + 10*t. Factor x(u).
2*(u - 3)**2/3
Let f(j) = 2*j + 2. Let u be f(-2). Let v be 1 + (u + 2 - -1). Solve 13*d**5 - 12*d**5 - d**v + d**2 = 0.
0
What is n in 3/2*n + 0 + 0*n**3 - 3/2*n**5 - 5*n**2 + 5*n**4 = 0?
-1, 0, 1/3, 1, 3
Find w, given that -6/7*w**2 - 22/7*w - 4/7 + 10/7*w**4 + 22/7*w**3 = 0.
-2, -1, -1/5, 1
Let t(p) be the first derivative of 3*p**6/2 + 276*p**5/5 + 1917*p**4/4 - 1054*p**3 - 288*p**2 + 1536*p - 39. Find q, given that t(q) = 0.
-16, -2/3, 1
Let b(l) be the second derivative of l**7/189 + 4*l**6/15 + 232*l**5/45 + 1243*l**4/27 + 1573*l**3/9 + 2662*l**2/9 + 4*l + 3. Let b(s) = 0. What is s?
-11, -2, -1
Factor -1/4*m**4 - 9/2*m**2 - 2 + 7/4*m**3 + 5*m.
-(m - 2)**3*(m - 1)/4
Let -15/2 - 3/4*z**2 - 21/4*z = 0. Calculate z.
-5, -2
Let y = 2249 + -4493/2. Factor 3*k**2 - y*k**3 + 9/2*k - 1.
-(k - 2)*(k + 1)*(5*k - 1)/2
Let x = -355479/5 + 71479. Let m = x + -382. Factor -4/5*w + 2/5*w**4 + 4/5*w**3 + m - 8/5*w**2.
2*(w - 1)**2*(w + 1)*(w + 3)/5
Let x(z) = z**2 - 2*z. Let m = 2 + 3. Suppose 4*a = m + 11. Let l(n) = 3*n**2 - 5*n. Let y(c) = a*l(c) - 9*x(c). Solve y(b) = 0 for b.
0, 2/3
Let l = 7282 + -7280. Factor 1/2*p**3 + 0*p**l - 1/4*p**4 + 0 + 0*p.
-p**3*(p - 2)/4
Let d(b) be the third derivative of -1/280*b**7 - 1/2*b**3 - 8*b**2 + 3/8*b**4 + 0*b + 0 - 13/80*b**5 + 3/80*b**6. Factor d(i).
-3*(i - 2)**2*(i - 1)**2/4
Factor 8 - 6*h**4 + 27*h + 27*h - 2*h**2 + 3*h**5 - 4*h**5 - 69*h + 16*h**3.
-(h - 1)**3*(h + 1)*(h + 8)
Let n(q) be the first derivative of -q**5/40 - q**4/4 - q**3 - 2*q**2 - 2*q - 91. Factor n(x).
-(x + 2)**4/8
Let s be ((-12)/(-14))/((-6)/(-8)). Let r = 145531/63679 - -3/9097. Factor 4/7*v**5 + 16/7*v**3 + r*v**4 - 8/7 - 20/7*v - s*v**2.
4*(v - 1)*(v + 1)**3*(v + 2)/7
Let i(l) = 5*l**3 - 32*l**2 + 31*l - 4. Let j(f) = -f**3 + 1. Let a(n) = i(n) - 6*j(n). Let a(t) = 0. Calculate t.
10/11, 1
Suppose 0 = -c - c + 6. Let w = -14 - -19. Factor 2*a**2 + 0*a**4 + a**4 + 2*a**3 + 3*a**w - 5*a**5 - c*a**4.
-2*a**2*(a - 1)*(a + 1)**2
Let z(p) = -p**2 + 77*p - 1291. Let j(r) = r**2 - 78*r + 1290. Let t(l) = -5*j(l) - 6*z(l). Factor t(s).
(s - 36)**2
Let v(f) = f**3 + 103*f**2 - 16*f - 103. Let x(o) = -8*o**3 - 928*o**2 + 148*o + 928. Let z(g) = 28*v(g) + 3*x(g). Factor z(t).
4*(t - 1)*(t + 1)*(t + 25)
Let c(f) be the second derivative of f**9/7560 - f**8/1120 + f**7/630 - f**4/2 - 4*f. Let s(t) be the third derivative of c(t). Factor s(n).
2*n**2*(n - 2)*(n - 1)
Let u(c) be the second derivative of -3*c**5/10 + c**4/3 + 7*c**3/3 + 2*c**2 - 53*c + 2. What is z in u(z) = 0?
-1, -1/3, 2
Suppose z = 2*q - 0*q - 21, 4*q - 37 = 3*z. Suppose 9*b = q*b - 12. Factor 2*m - 5*m + b*m**3 - 2*m + 2*m.
3*m*(m - 1)*(m + 1)
Solve 18/7*a + 10/7 + 6/7*a**2 - 2/7*a**3 = 0 for a.
-1, 5
Find n such that -1/6*n**3 - 1/6*n + 1/3*n**2 + 0 = 0.
0, 1
Let t be (-12)/14*((-209)/(-33))/(-19)*6. Factor -12/7*f**4 + 0 + 0*f - 4/7*f**2 + 4/7*f**5 + t*f**3.
4*f**2*(f - 1)**3/7
Let q = -175 + 178. Let t be (-44)/(-154) - 0/(q - 1). Determine b so that -t*b + 2/7*b**2 + 0 = 0.
0, 1
Let o(k) be the first derivative of -k**6/4 + 6*k**5/5 + 45*k**4/8 - 5*k**3 - 33*k**2 - 36*k - 75. Suppose o(s) = 0. What is s?
-2, -1, 2, 6
Let i = 197/2 - 97. Let v(y) be the second derivative of 1/4*y**4 + 0 + 3*y - i*y**2 + 0*y**3. Factor v(q).
3*(q - 1)*(q + 1)
Let b(y) = -y**3 - 9*y**2 - 7*y + 8. Let g be b(-8). Let r be 6*(-3)/(-54) + g. Factor 0 - r*