 2/7, 2/3, 1
Let d be (-2 - -2)*3/(-6). Suppose d = -2*o + 2*k - 2, -2*o + 5*k - 17 = 0. Factor h + h**o - 2 + 4 + h**3 + 0*h - 2*h**3 - 3*h**2.
(h - 2)*(h - 1)*(h + 1)**2
Suppose 1 = -y + 7. Factor -y - 4 - 16*q + 5*q**2 - 9*q + 10*q**2.
5*(q - 2)*(3*q + 1)
Let w be (6 + 216/(-30))*3/((-81)/10). Let -2/9*j**5 - 2/9*j + 4/9*j**4 - 8/9*j**2 + w + 4/9*j**3 = 0. Calculate j.
-1, 1, 2
Let g be ((-54)/(-21924)*87)/(0 - (-9)/7). Find p, given that -5/6*p**2 - 2/3*p**3 - g*p + 0 = 0.
-1, -1/4, 0
Let p(v) be the third derivative of -v**5/12 - 5*v**4/12 - 5*v**3/6 + 88*v**2. Find x such that p(x) = 0.
-1
Let -3*t**5 - 4*t**4 + 30*t**2 - 24 - 2*t**4 - 1009*t + 997*t + 15*t**3 = 0. Calculate t.
-2, -1, 1, 2
Let y(p) be the first derivative of -p**5/150 + p**4/10 - 3*p**3/5 + 7*p**2/2 - 13. Let f(w) be the second derivative of y(w). Factor f(v).
-2*(v - 3)**2/5
Let n = -2/4489 - -8984/13467. Determine b so that 4/3*b - 2/3*b**2 - 2*b**3 + 2/3*b**4 + n*b**5 + 0 = 0.
-2, -1, 0, 1
Let t be -4 + (89088/2540)/8. Let p = t - -2/127. Factor -p*f**2 + 0*f + 0 + 2/5*f**3.
2*f**2*(f - 1)/5
Let t = -15 + 36. Let o be 7/t + 2/(-6). Factor -1/2*y**2 + 3/2*y + o.
-y*(y - 3)/2
Suppose q = -5*d + 15, -10*d - 3*q = -14*d + 31. Determine u, given that -6 + d*u - 2/3*u**2 = 0.
3
Let m = -13 + 16. Let t be m/(-1) - (-4 + -2). Suppose 2*d**3 + 17*d**4 + 4*d**t + 12*d**5 + 7*d**4 + 3*d**4 = 0. Calculate d.
-2, -1/4, 0
Suppose 3*c - 3*x - 21 = 0, -5*x = -c - 28 + 55. What is a in -2/9*a**5 + 8/9*a**c + 0 + 0*a - 2/3*a**4 + 0*a**3 = 0?
-2, 0, 1
Let q(m) be the third derivative of 5*m**7/21 + 7*m**6/6 - 31*m**5/30 - 13*m**4/3 - 4*m**3 + 46*m**2. Suppose q(c) = 0. Calculate c.
-3, -2/5, 1
Let j(f) be the first derivative of -1/3*f**2 + 1/3*f - 8 + 1/9*f**3. Suppose j(q) = 0. What is q?
1
Let i(m) be the third derivative of 0 - 1/390*m**5 + 1/1365*m**7 - 1/780*m**6 + 18*m**2 + 0*m + 1/156*m**4 + 0*m**3. Find y such that i(y) = 0.
-1, 0, 1
Let o(a) = a**3 + 3*a**2 - 7*a - 10. Let g be o(-4). Let 11*n**4 - 15*n**g + 13*n**2 + 4 - 16*n + 25*n**3 - 13*n**2 - 9*n**5 = 0. What is n?
-1, 2/9, 1, 2
Let l = -24187/9 + 2689. Factor -2/3*h + l*h**2 + 0 + 2/9*h**4 - 10/9*h**3.
2*h*(h - 3)*(h - 1)**2/9
Suppose -2*m - 3 = -p - 7, 8 = -2*p. Let a(l) be the third derivative of -4*l**2 + m + 1/3*l**3 + 0*l + 0*l**4 - 1/120*l**5. Factor a(k).
-(k - 2)*(k + 2)/2
Let y(r) be the second derivative of r**9/6048 + r**8/1344 - r**7/1008 - r**6/144 + 11*r**4/12 + 12*r. Let i(b) be the third derivative of y(b). Factor i(o).
5*o*(o - 1)*(o + 1)*(o + 2)/2
Let t(c) be the first derivative of 2/3*c**3 + 4 + c - 1/6*c**4 + 0*c**2. Let f(x) be the first derivative of t(x). Let f(g) = 0. What is g?
0, 2
Let u(x) = x**5 + x**4 - x**3 + x. Let l(w) = -18*w**5 - 36*w**4 - 24*w**3 - 3*w**2 + 27*w + 24. Let f(h) = l(h) + 15*u(h). Solve f(n) = 0.
-4, -2, -1, 1
Let b(s) be the second derivative of 0*s**5 + 0 + 1/8*s**4 + 1/3*s**3 + s - 1/120*s**6 + 3/8*s**2. Find f, given that b(f) = 0.
-1, 3
Let v(y) be the third derivative of y**8/336 + 13*y**7/210 + 23*y**6/120 + 11*y**5/60 - y**2 - 140*y. Factor v(u).
u**2*(u + 1)**2*(u + 11)
Let s(z) be the third derivative of 0*z + 0*z**3 - 1/6*z**8 - 1/6*z**4 + 0 - z**6 - 71/105*z**7 - 19/30*z**5 + 2*z**2. Suppose s(i) = 0. Calculate i.
-1, -2/7, -1/4, 0
Factor 6/11*h**2 + 42/11 - 48/11*h.
6*(h - 7)*(h - 1)/11
Let l = 49/234 - 2/13. Let z(m) be the second derivative of -1/20*m**5 + 6*m + 0*m**2 - l*m**6 + 1/3*m**4 - 2/9*m**3 + 0. Determine v so that z(v) = 0.
-2, 0, 2/5, 1
Let q(f) be the third derivative of -11/540*f**6 + 31*f**2 - 1/105*f**7 + 0*f**4 + 0 - 1/135*f**5 + 0*f + 0*f**3. What is h in q(h) = 0?
-1, -2/9, 0
Let h(z) be the second derivative of -4*z**7/21 - 13*z**6/5 + 243*z**5/5 - 119*z**4/6 - 369*z. Solve h(r) = 0 for r.
-17, 0, 1/4, 7
Suppose -5*g + 37 = 4*y, 0*y - 18 = -3*g - y. Suppose 0 = -g*z + 22 + 33. Suppose z*s + 7*s**2 + 64 - 3*s**2 + 21*s = 0. What is s?
-4
Let m(o) = 34*o + 308. Let b be m(-9). Let i(c) be the first derivative of -2/9*c**3 + 1/3*c**4 + 0*c**b - 4 - 2/15*c**5 + 0*c. Suppose i(a) = 0. What is a?
0, 1
Let v(h) be the third derivative of -h**8/110880 - h**7/27720 + 3*h**5/20 - 14*h**2. Let b(k) be the third derivative of v(k). Factor b(x).
-2*x*(x + 1)/11
Let z = 36 - 32. Suppose -2*g - 2 = -4*l, z*l - 5*l + g - 1 = 0. Suppose 0 - 2*j**l - 1/2*j**3 - 2*j = 0. Calculate j.
-2, 0
Let a = 281/37 + -857/259. Factor -39/7*p**2 + 0 - a*p + 9/7*p**3.
3*p*(p - 5)*(3*p + 2)/7
Let z be (-4 - 2)*(-11)/22. Factor 0*w**z - 2/13*w**5 + 0*w + 0 + 4/13*w**4 + 0*w**2.
-2*w**4*(w - 2)/13
Let c be ((-89)/(-26))/((-92)/(-8) + -12) - -7. Factor -12/13 - c*p**2 - 10/13*p.
-2*(p + 2)*(p + 3)/13
Let x be 27/18*(-2)/18*-2. Let c(y) be the first derivative of 2*y + 1 - x*y**3 + 1/2*y**2. Let c(s) = 0. Calculate s.
-1, 2
Let y(p) be the first derivative of -2*p**3/3 + 7*p**2 + 36*p - 83. Suppose y(d) = 0. Calculate d.
-2, 9
Let c = 744 + -735. Let u(d) be the first derivative of -2/5*d**3 + c + 3/20*d**4 + 0*d + 0*d**2. Factor u(l).
3*l**2*(l - 2)/5
Suppose 0*c + 2*c - 5*j - 6 = 0, 3*j + 8 = -c. Let u be (-3)/((-45)/c)*-3*1. Suppose -1/5*b**2 - 1/5 - u*b = 0. What is b?
-1
Suppose 18*v**2 - 9 + 0*v**5 - 9*v**4 - 6*v**5 - 3*v - 10*v**5 + 13*v**5 + 6*v**3 = 0. What is v?
-3, -1, 1
Let m(x) be the second derivative of x**6/105 - x**5/35 - 776*x. Solve m(q) = 0 for q.
0, 2
Let a(x) be the third derivative of 1/480*x**5 + 0*x + 0 - 1/1680*x**7 + 14*x**2 - 1/2688*x**8 + 0*x**3 + 1/960*x**6 + 0*x**4. Factor a(f).
-f**2*(f - 1)*(f + 1)**2/8
Let h be 6/(-216)*-8 - 1764/(-810). Solve -1/5*k**3 - 16/5*k + h + 7/5*k**2 = 0.
2, 3
Let z(t) be the third derivative of t**8/240 - t**7/35 + 3*t**6/50 - 2*t**5/75 - 8*t**2 - 9. Factor z(y).
y**2*(y - 2)**2*(7*y - 2)/5
Let c(n) be the second derivative of -4*n**6/3 - 41*n**5/5 - 32*n**4/3 + 10*n**3/3 + 12*n**2 - 46*n. Solve c(i) = 0 for i.
-3, -1, -1/2, 2/5
Let v(s) be the third derivative of 0*s + 0*s**4 + 29*s**2 + 0 - 1/50*s**5 + 0*s**3 - 1/300*s**6. Suppose v(k) = 0. Calculate k.
-3, 0
Let w(k) be the first derivative of 2/15*k**3 + 1/30*k**6 + 0*k**2 + 4/25*k**5 + 1/4*k**4 + 0*k + 32. Suppose w(q) = 0. What is q?
-2, -1, 0
Suppose -5*c - 1 = -3*c - d, -c + 3*d - 13 = 0. Let z(l) be the second derivative of -1/12*l**4 - 9/2*l**c - l + 0 + l**3. Suppose z(v) = 0. Calculate v.
3
Suppose 9*p - 12*p + 17 = c, -3*c + 21 = 3*p. Let q(r) be the first derivative of 1/2*r**2 - 1 - 1/3*r**3 + c*r. Factor q(n).
-(n - 2)*(n + 1)
Let y(g) = -6*g**2 + g + 7. Let f be 36/24*4/3. Let a(c) = 3 - 1 - 1 - c**f. Let q(k) = -35*a(k) + 5*y(k). Factor q(h).
5*h*(h + 1)
Let s(x) = -2*x**2 - x + 4. Let d(j) = 11*j**2 + 5*j - 23. Let n(v) = 6*d(v) + 34*s(v). Factor n(l).
-2*(l + 1)**2
Let a(h) = -5*h - 25. Let n be a(-5). Let k be n/((-4)/3*(-6)/(-4)). Determine o so that k + 1/4*o**2 + 3/4*o = 0.
-3, 0
Let u(j) be the first derivative of -1/2*j**4 - 3*j**2 + 10/3*j**3 - 18*j + 15. Suppose u(p) = 0. Calculate p.
-1, 3
Factor -2*i**4 + 205 - 60*i**3 + 232 + 13 - 448*i**2 + 60*i.
-2*(i - 1)*(i + 1)*(i + 15)**2
Factor 2/3*z**3 - 578/3 - 70/3*z**2 + 646/3*z.
2*(z - 17)**2*(z - 1)/3
Suppose -4*v - 128 = -2*g - 136, -2*g = -4. Solve -1/2*o - 1/2*o**2 + v = 0.
-3, 2
Let v be (-336)/(-88) - (-6)/33. Solve -117*s**v + 16*s**2 + 65*s**3 + 209*s**4 + 15*s**3 + 28*s**5 = 0 for s.
-2, -1, -2/7, 0
Suppose -b + 4*z - 42 = -2*b, -3*z = -5*b + 279. Suppose x - b = -5*x. Factor 6*q**3 - x*q + 0*q**3 - 5*q**2 + 6 - 4*q**2.
3*(q - 2)*(q + 1)*(2*q - 1)
Factor 0 - 40/3*g - 14/5*g**3 - 16*g**2 - 2/15*g**4.
-2*g*(g + 1)*(g + 10)**2/15
Determine a so that -11*a**2 - 4 + a**3 + 4 + 5*a**2 - 43*a**2 = 0.
0, 49
Let k(c) = c**2 - 7*c - 8. Let f be k(8). Suppose 4*y + o - 15 = 0, -5*o = -f*y + 4*y - 11. Solve 4*x**3 + x**5 - 3*x**4 - x**y + 4*x**2 + 0*x**4 - 5*x**5 = 0.
-1, 0, 1
Let k(v) be the second derivative of -3*v**5/80 + v**4/16 + 5*v**3/8 + 9*v**2/8 - 59*v. Factor k(j).
-3*(j - 3)*(j + 1)**2/4
Let b(t) be the first derivative of 1 - 9/4*t**4 - 3*t**3 - 3/2*t**2 + 0*t - 3/5*t**5. Let b(z) = 0. What is z?
-1, 0
Let -10 + 20*x**2 + 15223*x**3 + 4*x - 15227*x**3 - 10 = 0. Calculate x.
-1, 1, 5
Suppose 8*c + 16 = 56. Suppose 0 = -5*b - c, -3*p - 2*b + 2 = -8. Factor 4/9*l**p - 2/9*l 