 o(r).
-r*(r - 5)**2*(r + 2)
Let d = -143 + 58. Let f = d + 85. Determine w so that 0 + f*w + 1/4*w**2 - 1/2*w**3 + 1/4*w**4 = 0.
0, 1
Let x = 17386 + -86926/5. Solve -x*n**4 + 12/5*n**2 + 32/5*n + 16/5 - 8/5*n**3 = 0.
-2, -1, 2
Suppose 2*v - 3 - 3 = 0, a + 6 = 2*v. Factor 0*d - d**3 + a*d**3 - 4*d + 6*d**4 + 5*d**3 - 8*d**2 + 2.
2*(d - 1)*(d + 1)**2*(3*d - 1)
Let h = 71 - 68. Solve g**2 - 39*g**h + 79*g**3 - 41*g**3 = 0.
0, 1
Suppose -1 = -y + 2*r - 7, -13 = 3*y - 5*r. Suppose -5*h + 15 = -2*h + y*g, 0 = -5*g. Factor 0 + 0*i**2 + 0*i - 3/5*i**4 - 6/5*i**3 + 3/5*i**h.
3*i**3*(i - 2)*(i + 1)/5
Factor -3/2*b**3 + 0 + 3/2*b + 0*b**2.
-3*b*(b - 1)*(b + 1)/2
Determine r so that r**5 + 31 + 3*r**5 - 60*r**3 + 25*r**4 - 160*r**2 + r**5 + 209 + 160*r = 0.
-6, -2, -1, 2
Let h(b) be the third derivative of b**5/90 + b**4/54 - b**3/27 - 89*b**2. Suppose h(j) = 0. What is j?
-1, 1/3
Let d(w) = 29*w**2 - 5*w + 12. Let u(f) = -36*f**2 + 4*f - 13. Let p(s) = -5*d(s) - 4*u(s). Suppose p(y) = 0. What is y?
1, 8
Let s(x) be the third derivative of x**8/336 - x**7/70 - x**6/8 - 17*x**5/60 - x**4/4 - 391*x**2. Factor s(q).
q*(q - 6)*(q + 1)**3
Suppose 147*i**3 - 16*i**2 - 148*i**3 - 1936*i - 72*i**2 = 0. Calculate i.
-44, 0
Let g(r) be the second derivative of -8*r**5/5 - 28*r**4/3 - 19*r**3 - 18*r**2 + 12*r + 2. Determine n so that g(n) = 0.
-2, -3/4
Let n(a) = -17*a**2 + 13*a + 1. Let u(r) = 16*r**2 - 12*r - 2. Let t(v) = -5*v**3 + 4*v**2 - 3*v. Let l be t(1). Let x(c) = l*n(c) - 6*u(c). Factor x(p).
-4*(p - 1)*(7*p + 2)
Suppose -z + 9 = 2*b, 2*b = -5*z + 2*z + 15. Suppose -7*t = -9*t. Determine a so that -a + a**2 + a**b - 4 + 3 + t*a**2 = 0.
-1, 1
Determine g so that 6*g + 3/4*g**5 - 27/4*g**3 - 36 - 15/4*g**4 + 159/4*g**2 = 0.
-3, -1, 1, 4
Let m(n) be the third derivative of 0 - 8/3*n**3 + 0*n + 1/336*n**8 + 0*n**4 - 1/70*n**7 + 4/15*n**5 + 2*n**2 - 1/30*n**6. Determine u so that m(u) = 0.
-2, -1, 2
Let w be 0/2 - ((-1015)/147 + 7)*-6. Let -2/7*c**4 + 4/7*c**3 + 2/7*c**2 - w*c + 0 = 0. Calculate c.
-1, 0, 1, 2
Find r, given that 0*r - 10*r**3 - 21/2*r**2 + 1/2*r**4 + 0 = 0.
-1, 0, 21
Suppose 2*n - 5 - 5 = 0. Factor 808*s**n + 15*s + 11*s**4 + 50*s**2 - 803*s**5 + 60*s**3 + 19*s**4.
5*s*(s + 1)**3*(s + 3)
Determine c, given that -32/5*c**2 + 16/5 - 4/5*c**3 + 7/5*c**4 - 16/5*c + 2/5*c**5 = 0.
-2, 1/2, 2
Suppose -b + 17 = 4*r, 56*b - 55*b + 5*r = 20. Let v be 2/(-6) + (-13)/(-21). Determine q, given that 0*q - 2/7*q**2 + v*q**b - 2/7*q**3 + 2/7*q**4 + 0 = 0.
-1, 0, 1
Let z(d) = 6*d + 37. Let w be z(7). Let v = w + -233/3. Suppose 0*i - v + 4/3*i**2 = 0. What is i?
-1, 1
Let u(i) = -4*i**3 + 6*i + 14. Let r(g) = 5*g**3 - 2*g**2 - 5*g - 13. Let o(h) = -2*r(h) - 3*u(h). Factor o(n).
2*(n - 2)*(n + 2)**2
Let p be (44/(-6))/((-1)/((-21)/(-2))). Suppose -72*o = -p*o. Factor 3/8*c**2 + o + 3/8*c**3 + 0*c.
3*c**2*(c + 1)/8
Let p(j) be the second derivative of -1/10*j**6 - 3*j - 3/10*j**5 + 0*j**2 + 0*j**3 + 0 - 1/4*j**4. Factor p(o).
-3*o**2*(o + 1)**2
Let i = -44 - -48. Factor 15 - 7*v**2 + 0*v**2 + i*v**2 + 12*v.
-3*(v - 5)*(v + 1)
Let b(t) be the first derivative of -t**7/21 + 3*t**5/10 - t**4/3 + 4*t + 13. Let o(d) be the first derivative of b(d). Factor o(q).
-2*q**2*(q - 1)**2*(q + 2)
Let -19*p - 10/3 - 11/3*p**2 = 0. What is p?
-5, -2/11
Suppose -3*i = 1 - 7. Suppose 0 = i*c - 6 + 2. Factor -3*f**2 + f - 3*f + f - c*f.
-3*f*(f + 1)
Let r = -28972 - -28974. Solve 2/9*h**3 + 0*h - 4/3*h**r + 0 = 0 for h.
0, 6
Suppose 4 = -13*n + 15*n. Suppose -2*d = 4*h - 24, 7*h + 5*d = n*h + 40. Factor 2/11*a**3 + 2/11*a**2 - 2/11*a**h - 2/11*a + 0.
-2*a*(a - 1)**2*(a + 1)/11
Let b be 15/(-20)*440/(-12). Factor -5/4 - 5*v**5 - 35*v**3 - 85/4*v**4 - 10*v - b*v**2.
-5*(v + 1)**4*(4*v + 1)/4
Solve 5*d + 3*d**2 + 5*d**2 - d**4 + 2*d**2 - 4*d**4 - 2*d**3 - 8*d**3 - 5 + 5*d**5 = 0.
-1, 1
Let z(l) be the third derivative of l**6/300 - l**5/25 + l**4/12 + 4*l**3/5 + 12*l**2 + 14. Factor z(y).
2*(y - 4)*(y - 3)*(y + 1)/5
Let i be (6*-7)/6*9/(-21). Let n(j) be the second derivative of 2/3*j**4 + 0*j**2 + 1/21*j**7 + 0 - 2*j + 1/3*j**i + 3/5*j**5 + 4/15*j**6. Factor n(z).
2*z*(z + 1)**4
Let l be -1 + (-2 - (-15)/5). Let u = -407/207 - -81/23. Factor l*q + u*q**3 + 16/9*q**4 - 32/9*q**5 + 2/9*q**2 + 0.
-2*q**2*(q - 1)*(4*q + 1)**2/9
Let i(a) be the third derivative of -a**6/120 - a**5/30 + a**4 + 348*a**2. Factor i(d).
-d*(d - 4)*(d + 6)
Suppose -1 = 3*j - 13. Let b be j/51*6/4. Factor -4/17*c**3 + 0*c**4 + b*c**5 + 0*c**2 + 0 + 2/17*c.
2*c*(c - 1)**2*(c + 1)**2/17
What is k in -4 + 8/3*k - 1/3*k**2 = 0?
2, 6
Let b = 7 + -7. Let k be ((-160)/180)/(-1 + b). Factor 2/3*m**3 + 0 - 2/9*m**4 - k*m + 0*m**2.
-2*m*(m - 2)**2*(m + 1)/9
Let y(h) be the third derivative of -1/40*h**6 - 14*h**2 - 1/105*h**7 + 0 - 1/48*h**4 + 0*h**3 - 1/30*h**5 + 0*h - 1/672*h**8. Factor y(n).
-n*(n + 1)**4/2
Let c = -53/4 + 133/10. Let n(o) be the third derivative of 0*o**3 + 0 - c*o**6 + 0*o + 1/45*o**7 + 3*o**2 + 0*o**4 + 1/45*o**5. Find l such that n(l) = 0.
0, 2/7, 1
Suppose 5*u - 18 = -3. Suppose -2*r = -u*o + 19, -3*o - 2*o = -2*r - 25. Factor -4*d + 4*d + 0*d**2 + o*d**2.
3*d**2
Let y(z) be the second derivative of -3*z**6/5 + 3*z**5/2 + 4*z**4/3 - 16*z**3/3 + 274*z. Suppose y(u) = 0. Calculate u.
-1, 0, 4/3
Let f(z) be the second derivative of -z**4/6 - z**3/3 - 13*z. Let m(k) = -k**3 - 4*k**2 - 5*k. Let n(j) = -10*f(j) + 4*m(j). Solve n(g) = 0 for g.
0, 1
Let p(b) be the second derivative of -b**6/150 + b**5/50 + b**4/15 - b**3/15 - 3*b**2/10 - 296*b. Let p(c) = 0. Calculate c.
-1, 1, 3
Let s = -47 + 78. Let g = 31 - s. What is l in -l + g + 1/2*l**2 = 0?
0, 2
Let d(n) = -10*n**2 + 21*n + 33. Let r(v) = 114*v**2 - 232*v - 362. Let t(y) = 68*d(y) + 6*r(y). Find g such that t(g) = 0.
-6, -3
Let u(i) be the first derivative of -1/2*i**2 + 1/12*i**6 - 9 + 0*i - 3/8*i**4 + 5/6*i**3 - 1/10*i**5. Let u(z) = 0. Calculate z.
-2, 0, 1
Let r(g) be the third derivative of -9*g**8/1288 + 13*g**7/805 + 77*g**6/690 - 38*g**5/345 - 2*g**4/23 + 368*g**2. Solve r(n) = 0.
-2, -2/9, 0, 2/3, 3
Let y(m) be the first derivative of m**5/20 - 5*m**4/16 + m**3/2 + 183. Find v such that y(v) = 0.
0, 2, 3
Let z = -1122 + 1122. Factor 2/7*y**5 + 0*y**2 + 2/7*y**3 + 4/7*y**4 + z*y + 0.
2*y**3*(y + 1)**2/7
Let b be (-80)/(-5) + (0 - -3). What is m in 24*m**2 - 4*m**3 - b*m**4 + m**4 - 9*m - 32 + 14*m**4 + 25*m = 0?
-2, 1, 2
Find r such that -152/3 + 2/3*r**2 + 50*r = 0.
-76, 1
Let h(y) be the third derivative of -y**5/30 - 13*y**4/12 + 14*y**3/3 + 742*y**2. Factor h(f).
-2*(f - 1)*(f + 14)
Let u(f) = 2*f**3 + 4*f**2 - 132*f - 6. Let v(k) = 3*k**2 - 2*k - 1. Let x(b) = -u(b) + 6*v(b). Factor x(r).
-2*r*(r - 12)*(r + 5)
Let y be (-184)/4*4/(2 + -10). Suppose 5*j - 2*b - y = 0, j + 5*b + 12 + 5 = 0. Suppose 86/15*c**2 - 16/15*c - 12/5*c**4 - 8/15 - 26/15*c**j = 0. Calculate c.
-2, -2/9, 1/2, 1
Let g = 158/123 + 2/41. Factor -5/3*l**3 + g*l**2 + 0*l + 0.
-l**2*(5*l - 4)/3
Let c(v) be the first derivative of 1/270*v**6 + 2 + 0*v**2 - 1/90*v**5 + 0*v**4 + 0*v + 7/3*v**3. Let i(g) be the third derivative of c(g). Factor i(a).
4*a*(a - 1)/3
Let c = 37/14 - 15/7. Let a(l) = -40*l + 404. Let w be a(10). Suppose 1/2*v**5 - v**3 + c*v - 1/2*v**w + v**2 - 1/2 = 0. Calculate v.
-1, 1
Let h(a) be the second derivative of -1/360*a**6 + 0*a**4 + 0*a**2 + 6*a - 1/360*a**5 + 2/3*a**3 + 0. Let x(j) be the second derivative of h(j). Factor x(p).
-p*(3*p + 1)/3
Suppose -n + 164 = -2*c + c, 0 = n - 4*c - 167. Let t = n + -163. Factor 4/13*f**2 + 0*f**3 + t + 2/13*f - 4/13*f**4 - 2/13*f**5.
-2*f*(f - 1)*(f + 1)**3/13
Let p(m) be the first derivative of 1/8*m**4 - 1/6*m**3 + 29 - 5/4*m**2 - 3/2*m. Suppose p(z) = 0. What is z?
-1, 3
Let u be -2*(-4)/36 + 317/(-9). Let h be ((-126)/u)/6 - (-14)/10. Determine y so that -2/9*y**3 - 2/9 - 2/3*y**h - 2/3*y = 0.
-1
Let j(d) be the first derivative of d**6/180 - d**5/20 + 3*d**3 + 31. Let b(t) be the third derivative of j(t). Factor b(z).
2*z*(z - 3)
Let i(j) be the first derivative of -3*j**4/8 + 4*j**3 + 2. Factor i(b).
-3*b**2*(b - 8)/2
Let g = -56 + 58. What is n in 3/7*n**g - 9/7*n + 0 = 0?
0, 3
Let t = -1/3 - -5/6. Let o = -6939/2 + 3471. Solve 1 + t*r**2 + o*r = 0.
-2, -1
Let c(l) be the second derivative of 