2/23 - 24*t/23 - 307. Let m(n) = 0. What is n?
-6, -2, -1
Let w = -36092/5 - -4223144/585. Let k = -8/39 + w. Factor -4/9*l**3 + k*l - 2/9 + 2/9*l**2.
-2*(l - 1)*(l + 1)*(2*l - 1)/9
Let w = 4291/5 + -857. Let a be 2/(-5) + -1 + 2. Factor -3/5*j**2 - a - w*j.
-3*(j + 1)**2/5
Factor -48/5 + 46/5*g + 2/5*g**2.
2*(g - 1)*(g + 24)/5
Suppose 3*y = 4*t - 3, 0 = -4*t - y - 1 - 0. Let q be 6 + -3 + t - 0. Suppose 4*s**2 + 11*s**4 + s**3 - q*s**3 - 13*s**4 = 0. Calculate s.
-2, 0, 1
Let b(n) = -1. Let w(h) be the third derivative of -h**5/12 - 25*h**4/24 + 5*h**3/3 - 24*h**2. Let q(o) = 30*b(o) + w(o). Factor q(a).
-5*(a + 1)*(a + 4)
Suppose -12*c - 4*u = -7*c - 22, 2*c = 3*u - 5. Let d(l) be the first derivative of 0*l**c + 2/33*l**3 - 2/11*l + 6. Find f such that d(f) = 0.
-1, 1
Let c(k) = -3*k - 9. Let l(r) = -2*r - 4. Let u(f) = -3*c(f) + 5*l(f). Let d be u(6). Factor -16*a + d - 5 - 8*a - 8*a**2 + 6*a.
-2*(a + 2)*(4*a + 1)
Let c(m) be the second derivative of m**4/54 - 2*m**3/27 - m**2/3 - 142*m. Find v such that c(v) = 0.
-1, 3
Let s(b) = -b**2 - 15*b + 218. Let o be s(-24). Factor 0 + 0*x - 2/13*x**o - 2/13*x**3.
-2*x**2*(x + 1)/13
Let j(m) be the second derivative of -m**7/147 - m**6/105 + 6*m + 3. Factor j(y).
-2*y**4*(y + 1)/7
Suppose h - 5 = 0, -w + 5*h + 4 - 26 = 0. Determine g, given that 0*g**3 + 9*g + 2*g**w - g**3 - 4 - 6*g**2 = 0.
1, 4
Suppose 0 = 2*y - 4*i - 32, -3*y - 3*i - 20 + 5 = 0. Determine m so that 4/9*m**y + 4/3*m + 8/9 = 0.
-2, -1
Let n = 43375 - 86745/2. Factor -5/2*x + n*x**2 - 5.
5*(x - 2)*(x + 1)/2
Let u = 216 + -216. Let f(b) be the first derivative of -1/12*b**3 + u*b**2 - 1/16*b**4 + 1/24*b**6 + 1/20*b**5 + 0*b - 3. Suppose f(a) = 0. What is a?
-1, 0, 1
Let a(b) = -13*b**2 - 48*b - 35. Let l be a(-1). Factor l*z - 4/3 + 4/3*z**2.
4*(z - 1)*(z + 1)/3
Suppose 0 = -71*i + 70*i + 2. Let z(b) be the second derivative of -1/6*b**2 + i*b + 1/120*b**5 - 1/36*b**3 + 0 + 1/36*b**4. Factor z(l).
(l - 1)*(l + 1)*(l + 2)/6
Let y = 364 - 364. Let h(p) be the third derivative of 0*p - 6*p**2 + 0 + 1/150*p**6 + y*p**3 - 1/525*p**7 - 1/150*p**5 + 0*p**4. Suppose h(q) = 0. Calculate q.
0, 1
Suppose 7*o**3 - 11*o**5 - 5*o**2 + 57*o + 10*o**5 + 5*o**4 - 63*o = 0. Calculate o.
-1, 0, 1, 6
Determine i, given that -9*i**4 - 96*i**3 - 46*i**2 + 284*i**3 + i**5 + 6*i - 9 - 158*i**3 + 27*i = 0.
1, 3
Solve 4/9*r**2 + 0 + 0*r = 0 for r.
0
Let g(a) be the third derivative of 7/64*a**4 - 1/8*a**3 + 11/320*a**6 - 12*a**2 + 1/8*a**5 + 0*a + 0. Solve g(s) = 0 for s.
-1, 2/11
Factor 0 + 3/2*a - 3/4*a**4 + 3/8*a**5 + 3/2*a**2 - 9/8*a**3.
3*a*(a - 2)**2*(a + 1)**2/8
Let y(j) be the third derivative of -j**8/252 - 17*j**7/945 - j**6/60 + j**5/135 + 3*j**2 + j. Determine b so that y(b) = 0.
-2, -1, 0, 1/6
Let n = 40 + -37. Factor 9*q**2 - 10*q**4 + 0*q**3 + 7*q**4 + 6*q**n.
-3*q**2*(q - 3)*(q + 1)
Let l = 11 - 2. Let x = l - 4. Suppose -2*s**5 + 4*s**5 - s**3 - s**x = 0. Calculate s.
-1, 0, 1
Let n be 351/18 + (-1)/(-2). Solve 0*t**2 + 4*t**2 + 1 + n*t - 2*t**2 + 49 = 0.
-5
Let s(j) = -11*j**2 + 89*j + 88. Let p(c) = -10*c**2 + 90*c + 90. Let g(i) = 6*p(i) - 5*s(i). Factor g(z).
-5*(z - 20)*(z + 1)
Let u(r) be the first derivative of 5*r**4 - 104*r**3/3 + 70*r**2 - 24*r + 235. Find f such that u(f) = 0.
1/5, 2, 3
Solve 4/5*i + 3/5*i**2 - 1/5*i**4 - 4/5 - 2/5*i**3 = 0 for i.
-2, 1
Let a(o) be the second derivative of -7*o**4/24 + 17*o**3/3 + 5*o**2 + 109*o. Factor a(d).
-(d - 10)*(7*d + 2)/2
Factor -36*d - 3*d**4 + 75*d**2 + 157*d**3 + 164*d**3 - 360*d**3 + 3*d**5.
3*d*(d - 3)*(d - 1)**2*(d + 4)
Let r = 11 - -3. Suppose r + 26 - 13 + 3*s**2 + 30*s = 0. Calculate s.
-9, -1
Suppose -8*x = -9*x + 81. Let p = x - 79. Find f such that 8/5*f - 4/5 - 4/5*f**p = 0.
1
Let a(i) be the first derivative of -1/9*i**3 + 6 + 0*i + 1/36*i**6 - 1/24*i**4 + 1/15*i**5 + 0*i**2. Factor a(h).
h**2*(h - 1)*(h + 1)*(h + 2)/6
Let g be (-18)/27 + (-56)/(-48). Determine p so that p**3 + 3/2*p**2 - 4*p - g*p**4 + 2 = 0.
-2, 1, 2
Let r(i) be the third derivative of 1/9*i**3 - 1/72*i**4 - 10*i**2 + 0 + 0*i - 1/180*i**5. Factor r(f).
-(f - 1)*(f + 2)/3
Suppose 9/2*w + 0 - 40/3*w**2 - 4*w**4 + 13*w**3 - 1/6*w**5 = 0. What is w?
-27, 0, 1
Let u(w) = -w**2 + 5*w - 6. Let y be u(2). Let c(o) be the first derivative of 1/5*o**3 + y*o**2 + 4 - 3/5*o. Factor c(s).
3*(s - 1)*(s + 1)/5
Factor -36/5*g - 2/5*g**4 - 74/5*g**2 - 8*g**3 + 0.
-2*g*(g + 1)**2*(g + 18)/5
Let i(u) be the third derivative of -u**6/180 - 11*u**5/90 - 2*u**4/9 + 20*u**3/9 + 2*u**2 + 3. Factor i(s).
-2*(s - 1)*(s + 2)*(s + 10)/3
Let x(o) be the third derivative of -o**5/30 - 5*o**4/2 + 24*o**2 + 10*o. Factor x(a).
-2*a*(a + 30)
Suppose 5*k + 4*j - 83 = 20, k + 5*j = 8. Factor -k*v + 45 - 7*v + 13*v**2 - 6*v**2 - 2*v**2.
5*(v - 3)**2
Let y(j) = -12*j**3 + j**2 + j. Let g be y(-1). Suppose f = -i + 6, 0 = -f + 3*f - i - g. Factor 0 + 14*a + f*a**2 + 1 + 3.
2*(a + 2)*(3*a + 1)
Let x be 16/7 + (-32)/112. Let n(b) be the first derivative of -12/5*b**5 - 1/2*b**6 + 0*b + 0*b**3 + 0*b**4 + 0*b**x + 3. Solve n(c) = 0 for c.
-4, 0
Factor -4/3*j**2 - 9604/3 + 392/3*j.
-4*(j - 49)**2/3
Let a(i) = i**4 + 7*i**3 - 15*i**2 - 7*i + 7. Let u(l) = 2*l**3 - 3*l**2 - l + 1. Let g(r) = 2*a(r) - 14*u(r). Find k, given that g(k) = 0.
0, 1, 6
Suppose -2*q = 0, -408*y + 4*q = -413*y + 10. Factor -20/9 + 4/9*v**y - 16/9*v.
4*(v - 5)*(v + 1)/9
Let s = -75 - -74. Let v(f) = 13*f**2 + 4*f + 1. Let k(c) = c**3 - 1. Let z(q) = s*v(q) - 5*k(q). Determine g so that z(g) = 0.
-2, -1, 2/5
Let b(i) be the first derivative of 5*i**4/18 + 104*i**3/27 + 20*i**2/9 - 13. Solve b(p) = 0.
-10, -2/5, 0
Factor 16/5 + 12*z + 38/5*z**2 + 6/5*z**3.
2*(z + 2)*(z + 4)*(3*z + 1)/5
Let d be 2 + (-14)/(-3)*(-22)/55. Factor 0 - d*j - 2/15*j**2.
-2*j*(j + 1)/15
Let t(z) = 2*z - 20. Let g be t(14). Find n, given that -4 + 1 - 10*n + g + 5*n**2 = 0.
1
Let r be (-1134)/(-147) + 4/14 - 6. Let u(a) be the second derivative of 1/30*a**5 - 2/3*a**r - 1/9*a**3 + 6*a + 1/9*a**4 + 0. Let u(j) = 0. Calculate j.
-2, -1, 1
What is a in -6/7*a**4 - 20/7*a + 22/7*a**3 - 2/7*a**5 + 0 + 6/7*a**2 = 0?
-5, -1, 0, 1, 2
Let g be (7 - 2 - 3) + 18. What is c in 2*c**2 + 18 - 16 + g*c - 16*c = 0?
-1
Let b(l) be the second derivative of -l**4/12 - 2*l**3/3 - 3*l**2/2 + 207*l. Suppose b(u) = 0. What is u?
-3, -1
Let q(h) = 15*h**3 - 35*h**2 + 5*h + 5. Let x(z) = 22*z**3 - 53*z**2 + 7*z + 7. Let r(v) = 7*q(v) - 5*x(v). Factor r(b).
-5*b**2*(b - 4)
Suppose -70*x + 14 = -63*x. Let l(i) be the first derivative of -6/5*i**5 + x - 10/3*i**3 - 1/6*i**6 - 3/2*i**2 + 0*i - 3*i**4. Factor l(d).
-d*(d + 1)**3*(d + 3)
Let y(l) be the third derivative of 0*l**3 + 1/6*l**5 + 0*l**7 + 0 + 0*l**4 - 45*l**2 + 1/8*l**6 + 0*l - 5/336*l**8. Solve y(d) = 0.
-1, 0, 2
Let r = -3819 - -19169/5. Let f(u) be the first derivative of 5 - 8*u**2 - 7/3*u**6 - 33*u**4 + 88/3*u**3 + 0*u + r*u**5. Find k, given that f(k) = 0.
0, 2/7, 1, 2
Suppose -2*q + 30 = -4*s, -5*q - 2*s = s - 10. Suppose 3*n - 18 + 1 = -2*v, 0 = -5*v - 4*n + 32. Factor 4/3 + 4/3*h**3 - q*h**2 + v*h.
(h - 2)**2*(4*h + 1)/3
Find r such that -5*r - 1/3*r**3 + 0 - 8/3*r**2 = 0.
-5, -3, 0
Let b = -13 + 60. Factor -3*z - 47 - 3*z**2 + b.
-3*z*(z + 1)
Let a(t) = -83*t - 2. Let o be a(-4). Let n be (-100)/o*12/(-10). Factor 2/11*l - 2/11*l**3 + n*l**2 - 4/11.
-2*(l - 2)*(l - 1)*(l + 1)/11
Let f = -9 - 11. Let s = f - -48. Factor 8*p**4 - 21*p**2 - 6*p**4 - 8*p**4 - 19*p**2 - s*p**3 - 16*p.
-2*p*(p + 2)**2*(3*p + 2)
Let h be (-216)/52 - (-14)/91. Let i be 0/(1 - 3 - h). Factor -c**4 + 1/5*c**3 - 1/5*c + i + c**2.
-c*(c - 1)*(c + 1)*(5*c - 1)/5
Factor 28/15*a - 16/3 - 2/15*a**2.
-2*(a - 10)*(a - 4)/15
Let z(a) be the third derivative of a**5/420 - 157*a**4/84 + 24649*a**3/42 + 714*a**2. Factor z(i).
(i - 157)**2/7
Let m be 260/468 - 4/18. Let g(b) be the first derivative of 4*b - 2*b**2 + m*b**3 + 2. Factor g(d).
(d - 2)**2
Let c = 31 + -29. Factor 9 - 3*x**c + 0*x**2 - 1 + x**2.
-2*(x - 2)*(x + 2)
Let t(i) = -9*i - 146. Let f be t(-18). Let n be ((-4)/(-6))/(-10*f/(-120)). Solve g - 1/2 - n*g**2 = 0 for g.
1
Let s be 31*((-12)/4)/(-3). Factor -7*a**3 - 136*a**2 + s*a + 279*a + 21*a**3 + 100.
2*(a - 5)**2*(7*a + 2)
Let y(r) be the first derivative of 0*r**5 + 0*r + 5/2