t k = -2/21173 + 465892/910439. Let w = k - 1/86. Let 0 - w*o**2 + o = 0. What is o?
0, 2
Suppose -2*a - 3*a = -y - 20, 4*a - y = 15. Suppose 12 = -b + 3*h - 0, 4 = -a*b + h. Let 0*t**2 + 0 + 3/4*t**4 + 3/4*t**3 + b*t = 0. Calculate t.
-1, 0
Let h(l) be the third derivative of l**7/42 + l**6/2 + 11*l**5/12 + 6*l**2 + 17*l. Factor h(k).
5*k**2*(k + 1)*(k + 11)
Let d(y) = 3*y + 26. Let i be (-3 + 2)/((-7)/(-56)). Let g be d(i). Factor -1/2*j + 1/2*j**3 - 1/2*j**4 + 3/2*j**g - 1.
-(j - 2)*(j - 1)*(j + 1)**2/2
Let q(y) be the first derivative of -y**4/8 + 7*y**3/6 + 17*y**2/4 + 9*y/2 + 744. Find m such that q(m) = 0.
-1, 9
Suppose -41*t + 8 = -197. Find b such that 4/3*b**t - 8/3 - 20/3*b + 16/3*b**4 - 8/3*b**2 + 16/3*b**3 = 0.
-2, -1, 1
Let s be 452/160 + 4 + 12/32. Let -2/5*r**3 + 1/5*r**4 - 11/5*r**2 + 12/5*r + s = 0. What is r?
-2, 3
Let j(s) = s**3 - s - 1. Let r(a) be the second derivative of -7*a**5/20 + a**4/6 + 3*a**3/2 + 3*a**2 - 15*a. Let x(u) = 6*j(u) + r(u). What is y in x(y) = 0?
-1, 0, 3
Let a(o) = -o + 2. Let v(q) = 8*q**5 + 20*q**4 - 12*q**3 - 32*q**2 + 8*q + 16. Let s(w) = 8*a(w) - v(w). Find m, given that s(m) = 0.
-2, 0, 1/2, 1
Let i(j) be the second derivative of 17*j + 6*j**3 + 5/4*j**4 + 0 + 6*j**2. Factor i(z).
3*(z + 2)*(5*z + 2)
Let y(g) = -3*g**3 + 5*g**2 + 6*g - 10. Let w(c) = -c**3 - c + 1. Let l(n) = -10*w(n) + 5*y(n). Find u, given that l(u) = 0.
-2, 1, 6
Let x(r) be the first derivative of r**4/4 + 3*r**3 - 11*r**2 - 272. Factor x(i).
i*(i - 2)*(i + 11)
Let o = 1269/7 + -181. Let n(b) = 3*b**2 - 1. Let a be n(1). Determine d so that -2/7*d**3 + 2/7*d**4 + 0 + o*d - 2/7*d**a = 0.
-1, 0, 1
Determine g, given that 12*g**2 + 3111*g**4 - 36*g - 3111*g**4 + 27*g**3 - 3*g**5 = 0.
-2, 0, 1, 3
Let c(k) be the third derivative of k**6/720 - 13*k**5/360 - 29*k**4/144 - 5*k**3/12 - 31*k**2. Suppose c(y) = 0. Calculate y.
-1, 15
Let m be ((-672)/(-120))/((-8)/(-17 + 1)). Find y such that -26/5*y - 12*y**2 - 16/5*y**4 - m*y**3 - 4/5 = 0.
-2, -1/2
Let k(x) be the third derivative of x**8/1344 + 3*x**4/8 - 7*x**2. Let v(t) be the second derivative of k(t). Factor v(j).
5*j**3
Let o(r) = -r**2 - 11*r - 21. Let x be o(-3). Factor 44*q**3 + 44*q**x - 5*q**2 - 94*q**3 + 24*q - q**4 + 36.
-(q - 2)*(q + 2)*(q + 3)**2
Let p be ((-12)/(-22))/(-6*((-408)/198 - -2)). Find q, given that p*q + 3/4*q**2 + 0 = 0.
-2, 0
Factor 40*l - 31*l - 9 - 24*l - 6*l**2.
-3*(l + 1)*(2*l + 3)
Let m = 181/340 - 9/68. Factor -1/5*w + 0 + 0*w**3 - 2/5*w**2 + m*w**4 + 1/5*w**5.
w*(w - 1)*(w + 1)**3/5
Factor 1/5*o**2 - 16/5 - 3*o.
(o - 16)*(o + 1)/5
Let y(q) be the third derivative of -q**8/1008 + q**7/105 + q**6/36 - 4*q**5/45 - 11*q**4/24 - 7*q**3/9 + 89*q**2. Suppose y(d) = 0. What is d?
-1, 2, 7
Let o(s) be the third derivative of -s**8/5880 - s**7/980 + s**6/315 + 29*s**3/6 - 9*s**2. Let y(c) be the first derivative of o(c). Factor y(r).
-2*r**2*(r - 1)*(r + 4)/7
Let m(d) be the first derivative of 17 + 0*d**2 - 1/24*d**4 + 1/36*d**6 + 1/9*d**3 + 0*d - 1/15*d**5. Factor m(o).
o**2*(o - 2)*(o - 1)*(o + 1)/6
Factor 4734/5*r**2 + 314*r**3 + 174/5*r**4 + 108/5 + 4806/5*r.
2*(r + 3)**3*(87*r + 2)/5
Let x be (-64)/42*(-528)/352. Factor 0*u - x + 4/7*u**2.
4*(u - 2)*(u + 2)/7
Let m be (84/76 - -2) + (-6)/57. Suppose u - x - 4 = -0, m*u = -4*x - 2. Factor -3/4*b**u + 0 - 3/2*b.
-3*b*(b + 2)/4
Let j(s) be the first derivative of s**4/6 - 92*s**3/9 + 529*s**2/3 + 54. Solve j(u) = 0 for u.
0, 23
Factor -50*s - 109*s**5 - 70*s**2 + 110*s**5 + 9*s**4 + 13*s**3 + 25*s**2.
s*(s - 2)*(s + 1)*(s + 5)**2
Let m(w) be the first derivative of -4/5*w**2 - 30 + 2/5*w**4 + 36/25*w**5 - 12/5*w**3 + 0*w. Determine t, given that m(t) = 0.
-1, -2/9, 0, 1
Find z, given that -11/4*z - 5/2*z**2 + 1/4*z**3 + 0 = 0.
-1, 0, 11
Let c(p) be the first derivative of -p**6/40 + p**5/10 - p**4/8 + 7*p**2/2 - 7. Let z(r) be the second derivative of c(r). Factor z(s).
-3*s*(s - 1)**2
Suppose 3*f + 12 = 4*y + 5*f, -16 = -4*y - 4*f. Factor -32*b**2 + 45*b + y*b + 4*b**3 + 17*b.
4*b*(b - 4)**2
Suppose -f + 78 = 12*f. Let h(j) be the first derivative of 1/15*j**5 + 1/12*j**f + 1/4*j**2 - 2/9*j**3 + 1/3*j + 4 - 1/4*j**4. Let h(x) = 0. Calculate x.
-1, -2/3, 1
Let m(k) be the second derivative of 354294/25*k**6 + 576/5*k**3 + 32/5*k**2 + 5832/5*k**4 - 2 + 157464/25*k**5 - 15*k. Find c, given that m(c) = 0.
-2/27
Let o(u) be the third derivative of -u**8/1680 + 3*u**7/350 - 31*u**6/600 + 17*u**5/100 - u**4/3 + 2*u**3/5 - u**2 + 29*u. Suppose o(j) = 0. What is j?
1, 2, 3
Determine h, given that 18 + 14 + 121*h + 15*h + 8*h**3 + 75*h**2 - 12*h**4 + 49*h**2 = 0.
-2, -1, -1/3, 4
Let x = 46 - 41. Factor -4*m**3 - 42*m**4 + 33*m - 4*m**x + 50*m**4 - 5*m - 8 - 32*m**2 + 12*m**3.
-4*(m - 1)**4*(m + 2)
Let t be (-2 + 1)*10/90*0. Let g(k) be the first derivative of 1/14*k**4 + 2/21*k**3 + 6 + 0*k**2 - 1/21*k**6 - 2/35*k**5 + t*k. Suppose g(s) = 0. What is s?
-1, 0, 1
Suppose -3*i - 3*k + 24 = 0, 3*i + 2*i - 4*k = 13. Suppose 4*l + 22 = 5*d, 2*d - 4*l + i - 21 = 0. What is f in 4*f + 7 + 4 - 7 + f**d = 0?
-2
Let t = 996 - 994. Let b(p) be the first derivative of -2/21*p**3 + 13 - 2/7*p**t + 1/14*p**4 + 0*p. Let b(r) = 0. What is r?
-1, 0, 2
Let 8*n**5 + 1012*n**2 - 22*n**5 + 6*n**5 + 140*n**4 + 2*n**5 - 242*n - 904*n**3 = 0. What is n?
0, 1/3, 1, 11
Let i be 8/1 - (-1 - -5). Determine a, given that -16*a**4 - 67*a**2 + 10*a**3 + 51*a**2 + 4*a**5 + 14*a**3 + i*a = 0.
0, 1
Let m = -594 + 599. Let q(a) be the first derivative of 3/20*a**m + 0*a - 2 + 0*a**2 + 0*a**3 + 3/16*a**4. Factor q(x).
3*x**3*(x + 1)/4
Let f(n) be the third derivative of -n**4/24 + 29*n**2. Let j(t) = 5*t**2 + 24*t. Let a(i) = -6*f(i) + j(i). Factor a(z).
5*z*(z + 6)
Suppose -67*a + 62*a + 10 = -m, 3*a - 4*m - 6 = 0. Factor -2/5*s**a - 2/5 - 4/5*s.
-2*(s + 1)**2/5
Let g(p) be the first derivative of -2*p**3/3 - 390*p**2 - 76050*p + 797. Suppose g(v) = 0. What is v?
-195
Let c(z) be the third derivative of -z**5/30 + 13*z**4/3 + 201*z**2. Find t such that c(t) = 0.
0, 52
Let o(d) be the second derivative of d**7/17640 - d**6/1260 - 19*d**4/6 - 5*d. Let x(z) be the third derivative of o(z). Factor x(s).
s*(s - 4)/7
Let h(w) be the second derivative of w**6/10 - 3*w**5/10 + w**3 - 3*w**2/2 + 3*w. Factor h(o).
3*(o - 1)**3*(o + 1)
Let b(l) be the third derivative of -l**8/336 + l**7/84 - l**6/72 - 2*l**3 - 5*l**2. Let p(j) be the first derivative of b(j). Solve p(v) = 0.
0, 1
Let 13 + 13 + 25 - c**2 - 31 - 8*c = 0. What is c?
-10, 2
Let f(t) = 11*t**3 + 2*t**2 - 34*t - 4. Let x(p) = 67*p**3 + 12*p**2 - 203*p - 22. Let h(u) = 26*f(u) - 4*x(u). Solve h(d) = 0.
-2, -2/9, 2
Let h(s) be the second derivative of 0*s**2 + 1/15*s**6 + 1/5*s**5 - 1/6*s**4 - 2/3*s**3 + 1 + 4*s. Determine j so that h(j) = 0.
-2, -1, 0, 1
Factor 72/5*m**2 + 0 - 496/5*m**3 + 98/5*m**5 + 0*m + 826/5*m**4.
2*m**2*(m + 9)*(7*m - 2)**2/5
Let b be -1 - 6/(9 + -15). Let y(f) be the second derivative of -5*f + b + 0*f**3 - 8/3*f**2 + 1/9*f**4. Factor y(s).
4*(s - 2)*(s + 2)/3
Let g be (2 - 6)*(-12 - -14). Let a be g/(-2) - 2 - (-4)/(-2). Suppose -1/2*b**2 + 0*b - 1/2*b**4 + b**3 + a = 0. What is b?
0, 1
Let s(c) be the third derivative of -c**5/45 + c**4/18 + 4*c**3/3 - 71*c**2. Suppose s(d) = 0. Calculate d.
-2, 3
Suppose -19 + 19 = -246*k. Let 0 - 4/5*t**3 + k*t**2 + 6/5*t**4 + 0*t - 2/5*t**5 = 0. Calculate t.
0, 1, 2
Suppose -2*s = -214 + 208. Suppose 3/4*a**s - 3/2*a - 3/4*a**2 + 0 = 0. What is a?
-1, 0, 2
Let o(r) be the first derivative of -8/9*r**3 + 1/9*r**4 + 2*r**2 + 0*r + 33. Solve o(v) = 0.
0, 3
Let w(l) be the second derivative of -1/2*l**3 + 0 + 1/4*l**4 + 3*l - 9*l**2. Factor w(u).
3*(u - 3)*(u + 2)
Let v(j) = 2*j**2 + 4*j - 13. Suppose -f = -5*y - 7, 0 = f - 3*y - 0 - 5. Let x be v(f). Suppose -8 - 1/2*s**4 - 4*s**x - 12*s**2 - 16*s = 0. Calculate s.
-2
Let p(t) be the third derivative of -t**9/1890 - t**8/840 - t**7/2100 + 4*t**3 - 23*t**2. Let x(r) be the first derivative of p(r). Find f such that x(f) = 0.
-1, -1/4, 0
Let 0 - 4563/7*f - 3/7*f**3 + 234/7*f**2 = 0. Calculate f.
0, 39
Solve 9365*v**3 + 373*v**4 - 225*v**4 + 45065 - 21*v**5 + 67990*v**2 - 165620*v + 42815 + 26*v**5 + 232*v**4 = 0 for v.
-26, 1
Let t(o) be the second derivative of -o**7/357 - 7*o**6/51 