= -517/14420 + 3/412. Let i = 3/7 + n. Factor 4/5*m - 2/5*m**2 - i.
-2*(m - 1)**2/5
Let g(u) = 3*u**2 - 91*u + 251. Let a be g(3). Suppose -1/6*l**4 - 1/6*l**a + 0 + 1/6*l**2 + 0*l + 1/6*l**3 = 0. What is l?
-1, 0, 1
Let u(n) be the first derivative of -3*n**6/200 + 2*n**5/25 - 7*n**4/40 + n**3/5 - 17*n**2/2 - 14. Let o(r) be the second derivative of u(r). Factor o(c).
-3*(c - 1)**2*(3*c - 2)/5
Factor 2/3*a**3 - a**4 + 0 + 1/3*a**5 + 0*a + 0*a**2.
a**3*(a - 2)*(a - 1)/3
Let j(n) = -n**2 - 20*n - 60. Let c be j(-16). Let -3/5*y**5 + 0 + 2/5*y**c + 4/5*y**3 - 1/5*y - 2/5*y**2 = 0. Calculate y.
-1, -1/3, 0, 1
Suppose -3*z = -12 + 6. Suppose -g = 3*g + 2*g. Factor -2/5*t + g + 8/5*t**4 - 12/5*t**3 - 2/5*t**5 + 8/5*t**z.
-2*t*(t - 1)**4/5
Let q(z) be the third derivative of z**6/12 + 13*z**5/8 + 75*z**4/8 - 125*z**3/12 + 227*z**2. Suppose q(c) = 0. Calculate c.
-5, 1/4
Let n(x) be the third derivative of x**8/504 - x**7/63 - 7*x**6/90 - x**5/45 + 13*x**4/36 + 7*x**3/9 - 293*x**2. Let n(q) = 0. Calculate q.
-1, 1, 7
Solve -1/6*m**2 - 150 + 10*m = 0.
30
Let x(u) = -u**3 - 3*u**2. Let v be x(-3). Suppose v = -0*z - 6*z + 12. Suppose 16/7*p - 10/7*p**3 - 8/7 + z*p**2 = 0. Calculate p.
-1, 2/5, 2
Let h = 2243/3 + -758. Let m = h + 11. Determine v so that -m + 0*v + 2/3*v**2 = 0.
-1, 1
Let h(o) be the second derivative of 5/17*o**2 + 1/6*o**4 - 16/51*o**3 + 0 - 3/85*o**5 + 13*o. Solve h(f) = 0.
5/6, 1
Let d(q) be the third derivative of q**7/14 - 19*q**6/24 + q**5/3 + 5*q**4/2 - 10*q**2 + 8*q. Suppose d(a) = 0. What is a?
-2/3, 0, 1, 6
Let l(b) = -2*b**2 - 2*b + 6*b + 3*b**2 - 5 - 7*b. Let h be l(5). Solve -a**h + 3*a**5 + 0*a**5 - 3*a**3 + a**5 = 0.
-1, 0, 1
Let b(x) be the third derivative of -x**7/280 - x**6/30 - x**5/10 + 37*x**3/6 - 47*x**2. Let r(h) be the first derivative of b(h). Solve r(k) = 0 for k.
-2, 0
Let t(s) = s**2 - 2*s - 2. Let i(y) = y**3 - 10*y**2 + 37*y - 47. Let d(k) = -i(k) + t(k). Let d(x) = 0. What is x?
3, 5
Let x(k) be the first derivative of 1/2*k**3 - 11 - 1/8*k**2 + 0*k. Determine y so that x(y) = 0.
0, 1/6
Let n(k) be the second derivative of 5*k**5/4 + 95*k**4/12 + 35*k**3/3 - 34*k. Factor n(l).
5*l*(l + 1)*(5*l + 14)
Suppose -2*s + 0*s + 14 = -2*p, 3*s + 5*p = 13. Let g(f) be the first derivative of 0*f + 3/5*f**5 - 3*f**2 + 0*f**4 + s - 3*f**3. Factor g(t).
3*t*(t - 2)*(t + 1)**2
Let g = 2563 - 2559. Factor 0 + 3*t**g - 3*t**2 - 9/2*t**3 + 0*t.
3*t**2*(t - 2)*(2*t + 1)/2
Let d = 27 + -23. Let j(f) = 4*f**2 + 2*f. Let a(x) = 3*x**2 + 2*x. Let k(b) = d*j(b) - 5*a(b). Determine c so that k(c) = 0.
0, 2
Let l be 45/(-18)*(-2 - 0). Let 4*r**l - 2*r**5 + 3*r**3 - 4*r**4 - r**3 = 0. Calculate r.
0, 1
Suppose 56 = 12*y - 16. Let m(x) be the third derivative of 0*x**5 + 0*x + 1/210*x**y - 1/42*x**4 + 0 + 6*x**2 - 1/735*x**7 + 1/21*x**3. Factor m(o).
-2*(o - 1)**3*(o + 1)/7
Let z(i) = i**2. Suppose 15 + 1 = -4*r, -2*r = -g + 10. Let h(o) = 412 - 3*o**g - 412. Let w(u) = -h(u) - 5*z(u). Factor w(a).
-2*a**2
Let -9*n**3 + 21*n**4 + 19*n**3 + 12*n**3 + 69*n**2 + 27*n + 76*n**3 + 2 - 33*n**3 = 0. What is n?
-1, -2/21
Let i(d) = -24*d - 45. Let l be i(-6). Let t be 3/9 + (183/l - 2). Factor -4/11*z + 0 - 6/11*z**2 - t*z**3.
-2*z*(z + 1)*(z + 2)/11
Let t be (-7008)/20 + 3 + (-6)/10. Let b be (-2 - t/162)/((-2)/(-3)). Factor -2/9*h**2 + 0 + b*h.
-2*h*(h - 1)/9
Let h be -4 + (-3 - (-20)/2). Factor h*p**3 - 102*p**4 + 99*p**4 - 21*p**2 - 9*p - 18*p**3.
-3*p*(p + 1)**2*(p + 3)
Determine k so that -111 + 15 - 403*k + 8*k**3 - 104*k**2 - 20*k**3 + 195*k = 0.
-6, -2, -2/3
Let z(q) be the second derivative of -17*q**4/6 - 287*q**3/51 + 2*q**2/17 + 17*q + 6. Factor z(n).
-2*(n + 1)*(289*n - 2)/17
Suppose 41 - 8 = -11*o. Let q = o + 5. Factor -1/4*f**q + 1/2*f + 0.
-f*(f - 2)/4
Factor 30*d - 3/2*d**2 - 150.
-3*(d - 10)**2/2
Suppose -6 + 2 = -2*a. Let k(m) = -6*m**2 - m**a - 27*m + 13*m**2. Let f(g) = g**2 - 4*g. Let y(d) = -27*f(d) + 4*k(d). Solve y(r) = 0 for r.
0
Let d be 4 - (10 - 10) - 4. Determine c, given that 96/5*c**3 + d*c + 12/5*c**2 + 0 + 147/5*c**5 + 231/5*c**4 = 0.
-1, -2/7, 0
Let o(q) = -q**3 + 4*q**2 + 8*q - 12. Let n = -54 + 59. Let z be o(n). Factor 0*t + 2/7*t**z + 0 - 6/7*t**2.
2*t**2*(t - 3)/7
Let r(k) be the first derivative of -4/13*k + 1/26*k**4 - 1/13*k**2 - 18 + 4/39*k**3. Solve r(m) = 0.
-2, -1, 1
Let y(p) be the second derivative of 0 - 1/2*p**3 + 9/4*p**2 - 1/8*p**4 - 15*p. Factor y(k).
-3*(k - 1)*(k + 3)/2
Suppose -56*n = -51*n - 15. Let g(v) be the second derivative of 1/12*v**n + 0*v**2 + 1/16*v**4 - 6*v + 1/80*v**5 + 0. Factor g(m).
m*(m + 1)*(m + 2)/4
Let w(j) = -3*j**3 - 4*j**2 - 10*j - 7. Let p be w(-1). Factor -p + 8/3*g - 2/3*g**2.
-2*(g - 3)*(g - 1)/3
Let j(f) be the first derivative of f**6/3 - 14*f**5/5 - f**4/2 + 14*f**3/3 - 122. Suppose j(d) = 0. What is d?
-1, 0, 1, 7
Let s(x) be the first derivative of -4*x**5/5 - 18*x**4 + 160*x**3/3 - 31. Find n such that s(n) = 0.
-20, 0, 2
Let r(k) = 15*k**5 + 25*k**4 + 25*k**3 + 5*k + 5. Let j(n) = -8*n**5 - 12*n**4 - 13*n**3 - 3*n - 3. Let l(u) = 5*j(u) + 3*r(u). Find h such that l(h) = 0.
-2, -1, 0
Solve 0 + 10/3*n + 2/9*n**2 = 0 for n.
-15, 0
Let p(k) = 2*k**3 - 2*k**2 - 2*k - 6. Let j(d) = -3*d**3 + 3*d**2 + 3*d + 7. Suppose 4*v = 5*h + 25, 3*h + 0 = -v + 2. Let w(t) = v*p(t) + 4*j(t). Factor w(g).
-2*(g - 1)**2*(g + 1)
Let y(l) be the first derivative of -3*l**4/2 + 3*l**3/2 + 75*l**2/4 + 9*l + 34. Let y(b) = 0. Calculate b.
-2, -1/4, 3
Suppose -14 = -3*w - 2. Suppose 4*u**w - u**4 + u**4 + 8*u**3 + 2*u**5 + 4*u**4 = 0. Calculate u.
-2, 0
Suppose 15*x = -24*x. Let l(a) be the second derivative of -a + 0 + 2/27*a**3 + x*a**2 + 1/54*a**4. Determine t, given that l(t) = 0.
-2, 0
Suppose -2/9*z**3 - 4*z - 22/9*z**2 + 0 = 0. Calculate z.
-9, -2, 0
Let h(i) be the second derivative of -15*i - 8*i**2 + 4/3*i**4 + 0 + 10*i**3. Let h(t) = 0. Calculate t.
-4, 1/4
Let y = -478 + 741. Let a = 267 - y. Factor 0*u**2 + 33/7*u**a + 45/7*u**5 + 0*u + 6/7*u**3 + 0.
3*u**3*(3*u + 1)*(5*u + 2)/7
Let f(a) be the first derivative of -3*a**3 + 15*a - 5. Let d(v) = -8*v**2 - v + 14. Let u(l) = 6*d(l) - 5*f(l). Suppose u(s) = 0. Calculate s.
-3, 1
Let t = -800 + 800. Let r be (-6)/15 - (-54)/60. Let r*f**5 + f**2 - f**4 + 0 - 1/2*f + t*f**3 = 0. Calculate f.
-1, 0, 1
Let g be (44/(-8) + 5)*-1. Let -23/4*t**3 - g*t**5 + 1/2 - 11/4*t + 23/4*t**2 + 11/4*t**4 = 0. Calculate t.
1/2, 1, 2
Find z such that -26*z + 4*z**2 - 10*z + 44 - 12*z = 0.
1, 11
Let y = 2274 - 4369/2. Let x = -89 + y. Let x*n**2 + 1/2 + n = 0. What is n?
-1
Suppose 165*m + 3*l + 11 = 170*m, l - 7 = -m. Factor 1/9*a**5 + 4/9*a**2 - 4/9*a**m - 1/3*a + 2/9*a**3 + 0.
a*(a - 3)*(a - 1)**2*(a + 1)/9
Let s(j) be the first derivative of -j**6/40 - j**5/20 + j**4/2 + 2*j**3 - 9*j**2 + 31. Let q(r) be the second derivative of s(r). Suppose q(u) = 0. What is u?
-2, -1, 2
Suppose 3*u = 3*v - 183, 0 = 3*u + 2*v + 140 + 63. Let j = u - -65. Solve 12/5*w**2 - 3/5*w**5 - 9/5*w**3 - 12/5*w**4 + j + 12/5*w = 0 for w.
-2, -1, 0, 1
Let p = 9822 - 49492/5. Let c = -76 - p. Factor 0*a**2 + 0 + 0*a - 4/5*a**3 - c*a**4 + 2/5*a**5.
2*a**3*(a - 2)*(a + 1)/5
Let -98/9*z + 4/3*z**3 - 7/3*z**2 - 1/9*z**4 + 0 = 0. What is z?
-2, 0, 7
Let z be -10*2/(-4) + (-34)/8. Let k(y) be the first derivative of 3/8*y**4 - 3/2*y + 1/2*y**3 - 4 - z*y**2. Factor k(n).
3*(n - 1)*(n + 1)**2/2
Let o(u) be the second derivative of -u**4/3 + 20*u**3/3 + 3*u - 28. Factor o(t).
-4*t*(t - 10)
Let v(m) = -5*m - 25. Let z be v(-34). Let u = z + -145. Find o such that u - 2/5*o**2 + 2/5*o**3 + 0*o = 0.
0, 1
Let w(y) = y**3 - 20*y**2 - 40*y + 4. Let k(h) = -6*h**3 + 141*h**2 + 282*h - 27. Let n(m) = 4*k(m) + 27*w(m). Suppose n(u) = 0. Calculate u.
-4, 0
Find k, given that 79*k**4 + 46*k**2 - 45*k**4 - 36*k - 11*k**3 + 8 + 5*k**5 - 46*k**4 = 0.
-2, 2/5, 1, 2
Let c be (-1)/((-15)/6 + 2) - -28. Let d = 9 - 4. Let 20*h**3 + 20*h**2 + c*h**4 - 2*h**d + 4*h + 17*h**3 + 11*h**5 = 0. Calculate h.
-1, -2/3, 0
Let a(h) = 2*h**4 - 12*h**3 + 14*h**2 + 52*h - 82. Let s(d) = d**3 + d**2 - 2*d - 1. Let y(w) = -a(w) + 2*s(w). Suppose y(m) = 0. What is m?
-2, 2, 5
Let p(r) = -9 + 2*r**2 - 8 + 18 - 3*r. Let f be p(2). Factor -2*d**2 - 2/3*d**f + 0 + 0*d.
-2*d**2*(d + 3)/3
Suppose 45*o = 