2 + 100*q - 132. Factor j(p).
(p - 1)**2*(p + 10)**2
Let w be -4 + (-2 - 64)/(210/(-12) - -7). Factor 48/7*k + 8/7*k**2 - 4/7*k**4 - 36/7 - w*k**3.
-4*(k - 1)**2*(k + 3)**2/7
Let j(y) = 3*y - 38. Let r be j(14). Factor -12*o**r + 12*o**2 - 3*o**5 - o**5 - 8*o + 5*o**5 + 4*o**3 + 3*o**5.
4*o*(o - 2)*(o - 1)**2*(o + 1)
Let b(g) = 4*g**3 - 29*g**2 + 16*g + 9. Let v = -72 - -71. Let k(s) = s**3 + s**2 - s - 1. Let t(p) = v*b(p) - 3*k(p). Solve t(o) = 0.
-2/7, 1, 3
Suppose m + 4*w - 23 = -6, 0 = -2*w + 8. Let a be 2/7 + m/(-70)*6. Solve z**3 + 7/5*z + a*z**4 + 2/5 + 9/5*z**2 = 0.
-2, -1
Factor 20*u + 2/15*u**2 + 298/15.
2*(u + 1)*(u + 149)/15
Suppose -6 = -5*u + d, -41*u + 40*u + 5*d = 18. Solve 2/3*o**2 + 0 - u*o = 0.
0, 3
Suppose -340 = -0*t + 4*t. Let u = 599/7 + t. Factor 24/7*c + 67/7*c**3 + 57/7*c**2 + 39/7*c**4 + u + 9/7*c**5.
(c + 1)**3*(3*c + 2)**2/7
Factor -39*f - 26*f - 13*f + 5*f**3 - 5*f**4 + 35*f**2 + 30 + 13*f.
-5*(f - 2)*(f - 1)**2*(f + 3)
Let f = -29/4 + 161/20. Let r(x) be the second derivative of 1/15*x**6 + f*x**2 + 0 + 11/10*x**4 + 4/3*x**3 + 11/25*x**5 - 2*x. Solve r(t) = 0.
-2, -1, -2/5
Suppose -18*h + 5*h = -16*h. Suppose 4/3 - 4/3*i**2 + h*i = 0. What is i?
-1, 1
Let o(h) be the first derivative of 4*h**5/5 + h**4 - 4*h**3 - 2*h**2 + 8*h - 44. Solve o(d) = 0.
-2, -1, 1
Let h be -14 + 22 + 87/(-11). Let j(i) be the first derivative of 0*i - 5 + 2/33*i**3 + h*i**4 - 2/11*i**2 - 2/55*i**5. Let j(x) = 0. What is x?
-1, 0, 1, 2
Let n(i) = -i**3 - 4*i**2 - 18*i. Let t(r) = -2*r**3 - 9*r**2 - 35*r - 3. Let k(u) = -5*n(u) + 3*t(u). Factor k(s).
-(s + 1)*(s + 3)**2
Let o(h) be the third derivative of h**5/300 + h**4/24 - 7*h**3/15 - 137*h**2. Factor o(j).
(j - 2)*(j + 7)/5
Let m(a) be the first derivative of -a**5/390 + 5*a**4/156 - 9*a**2/2 - 24. Let g(h) be the second derivative of m(h). Determine c, given that g(c) = 0.
0, 5
Suppose -a + 0*x + 25 = -2*x, 5*a + 4*x - 55 = 0. Let h be (9/a)/(3/15). Determine b, given that 0 + b + h*b**2 - 7*b + 3 = 0.
1
Let g(j) be the second derivative of -7*j + 1/36*j**4 + 0 + 0*j**5 - 1/12*j**2 - 1/180*j**6 + 0*j**3. Factor g(s).
-(s - 1)**2*(s + 1)**2/6
Let o(q) be the second derivative of q**4/60 - 7*q**3/5 + 41*q**2/10 + 12*q + 15. Let o(i) = 0. Calculate i.
1, 41
Let f(q) be the second derivative of q**5/10 + 83*q**4/6 + 163*q**3/3 + 81*q**2 + 2*q + 182. Let f(t) = 0. Calculate t.
-81, -1
Let f = -195 + 1367/7. Let m = 912/7 + -894/7. What is o in 12/7*o - m - f*o**2 = 0?
3
What is j in -30/7 + 6/7*j**2 + 3/7*j**5 - 51/7*j + 48/7*j**3 + 24/7*j**4 = 0?
-5, -2, -1, 1
Let w(v) be the first derivative of -25*v**2 + 55/3*v**3 - 43 - 40*v - 5/2*v**4. Solve w(q) = 0.
-1/2, 2, 4
Let m(v) be the third derivative of -v**6/480 + v**5/240 + 5*v**4/96 + v**3/8 - 125*v**2. Let m(d) = 0. What is d?
-1, 3
Let m(y) = 3*y**3 + 3 + 427*y - 424*y - 4*y**3 - y**2. Let j be m(-1). Factor j*g**2 + 0*g**4 - 2/7*g**5 + 0 + 0*g + 2/7*g**3.
-2*g**3*(g - 1)*(g + 1)/7
Let h(s) be the second derivative of -s**6/30 + 3*s**5/20 + s**4/3 + 63*s. Determine m so that h(m) = 0.
-1, 0, 4
Factor -3*v**2 - 1 + 7/2*v.
-(2*v - 1)*(3*v - 2)/2
Let m = -6/4459 - -8287/4459. Factor 11/7*n**2 - m*n + 5/7 - 3/7*n**3.
-(n - 1)**2*(3*n - 5)/7
Factor 8*f**2 - 17*f**2 + 0*f**2 + 12 - 11*f + 8*f**2 + 7*f.
-(f - 2)*(f + 6)
Let d = 541 + -126. Determine g so that -d*g - 3*g**2 - g**2 + 435*g = 0.
0, 5
Suppose -4*l + 3*g + 44 = 0, 2*g - 4 = -4*l + 20. Let z = l + -2. Factor z*d + 0 + 2 + 1 - 8*d**2 + 11*d**2.
3*(d + 1)**2
Let o be (-98)/1715*((-1 + 2)/1 + -8). Factor -o*x**3 + 8/5*x**2 + 4/5 - 2*x.
-2*(x - 2)*(x - 1)**2/5
Factor -6/5 + 2/15*y**2 + 0*y.
2*(y - 3)*(y + 3)/15
Determine a, given that 0*a + 12/5*a**2 - a**5 + 27/5*a**4 + 0 - 8*a**3 = 0.
0, 2/5, 2, 3
Let i(h) be the third derivative of -h**6/24 + 8*h**5 + 325*h**4/8 + 245*h**3/3 + 267*h**2. Suppose i(a) = 0. What is a?
-1, 98
Let x(j) = -j**3 + 5*j**2 - 8*j + 6. Let w be x(3). Factor w*i**3 - 11*i**2 + 9*i**2 - 2*i**3.
-2*i**2*(i + 1)
Let h be 3/(-5)*(-13 + (-385)/(-33)). Find c, given that 0*c + 2/5*c**3 + 0 - h*c**2 = 0.
0, 2
Let v(c) = 72*c**2 + 483*c - 333. Let a(g) = -14*g**2 - 97*g + 66. Let p(b) = -21*a(b) - 4*v(b). Suppose p(u) = 0. What is u?
-18, 1/2
Let r(k) be the first derivative of -2*k**5/5 - 22*k**4/7 - 10*k**3/21 + 44*k**2/7 + 24*k/7 + 96. Determine z so that r(z) = 0.
-6, -1, -2/7, 1
Let v(r) = -r**5 + r**2 - r - 1. Let f(z) = 4*z**5 + 10*z**4 + 4*z**3 - 90*z**2 + 132*z - 48. Let m(k) = 2*f(k) + 12*v(k). Determine h, given that m(h) = 0.
-3, 1, 3
Let r be (-21)/(-7) + 0 + -2. Suppose 4*c + r - 9 = 0. Factor -8*n - 4*n**3 + 4*n**2 + 0*n**5 + 14*n + 2 - 6*n**4 - c*n**5.
-2*(n - 1)*(n + 1)**4
Let a be (-8)/(-20) + (-20)/50. Suppose 3/7*o**3 + a*o**2 - 1/7*o**4 - 4/7*o + 0 = 0. Calculate o.
-1, 0, 2
Suppose -23*o = -24*o + 4. Let j be (o/6)/(11 - 9). Factor -1/3 - j*x + 1/3*x**2 + 1/3*x**3.
(x - 1)*(x + 1)**2/3
Let d(z) be the second derivative of -z**5/20 + 2*z**3/3 + 11*z - 11. Suppose d(n) = 0. What is n?
-2, 0, 2
Let c = 1071/10 + -28/5. Let w = -96 + c. Determine o, given that 2*o**2 - 3/2 + w*o = 0.
-3, 1/4
Let 1240/3*g + 2042/9*g**2 + 200 + 2/9*g**4 + 124/9*g**3 = 0. What is g?
-30, -1
Let a(k) be the third derivative of 11*k**7/840 - 31*k**6/480 - k**5/40 + 329*k**2. Solve a(t) = 0.
-2/11, 0, 3
Let j(s) be the third derivative of s**8/294 - 17*s**7/735 + s**6/21 - 2*s**5/105 + 2*s**2 + 2. Factor j(l).
2*l**2*(l - 2)**2*(4*l - 1)/7
Let r(s) be the third derivative of -s**8/1848 - s**7/1155 + s**6/660 + s**5/330 + 134*s**2. Factor r(x).
-2*x**2*(x - 1)*(x + 1)**2/11
Suppose 3*z + c = 20, -2*z + z = -c - 12. Let a = 25 - z. Factor 20*n**2 - 43*n**2 - 6*n - 2*n**3 + a*n**2 - 2.
-2*(n + 1)**3
Let t(p) be the first derivative of p**4/4 + 2*p**3/3 - 53. Factor t(i).
i**2*(i + 2)
Suppose -l + 1 = -0. Let q(s) = s**3 - 13*s**2 + 14*s - 16. Let w be q(12). Let -w*i**3 + 0*i - 4*i**3 + 6*i**2 + 9*i + 3*i**5 - 5 - l = 0. What is i?
-2, -1, 1
Let x(i) be the second derivative of i**8/560 - i**7/315 - i**6/60 + i**5/15 - 17*i**4/12 - 9*i. Let j(y) be the third derivative of x(y). Solve j(l) = 0 for l.
-1, 2/3, 1
Let z be 5 + 36/(-6) + (-16 - 1). Let j be (5 - (-188)/(-36)) + (-13)/z. Determine x, given that -1/4 - 3/4*x - j*x**2 = 0.
-1, -1/2
Suppose -7 = -6*c + 5*c. Suppose -c*s = -6*s - 1. Factor 2 + 4 - j**2 - s - 4.
-(j - 1)*(j + 1)
Let q be (5/25*0)/4 + 4. Let p(m) be the third derivative of 1/42*m**q + 1/70*m**5 - 2*m**2 + 0 + 0*m - 1/21*m**3. Suppose p(d) = 0. What is d?
-1, 1/3
Let f = -100/77 - -1054/693. Solve -f*b**4 - 2/9*b - 2/3*b**3 + 0 - 2/3*b**2 = 0.
-1, 0
Let i(c) be the third derivative of -c**8/1344 - c**7/420 + c**6/120 + c**5/120 - c**4/32 + 21*c**2. Determine n so that i(n) = 0.
-3, -1, 0, 1
Suppose 3*a - 12*n - 138 = -9*n, 3*a - 134 = 4*n. Factor 0 - 45/2*l**4 - a*l**3 - 65/2*l**2 - 5*l.
-5*l*(l + 1)**2*(9*l + 2)/2
Suppose 5*m - 700 = 5*u, -4*u = -9*u - m - 682. Let v = u + 1235/9. Suppose 0*f + 0 - 2/9*f**3 - v*f**2 = 0. What is f?
-1, 0
Suppose 3*o - 2*y = 20, o + 5*y = 4*y + 10. Let n = o - 6. Factor -17 + 17 + 0*t**2 + 2*t**4 - n*t**2.
2*t**2*(t - 1)*(t + 1)
Let y(z) be the first derivative of 0*z**2 - 1/12*z**4 - 1/30*z**5 + 3 - 4/3*z**3 - 1/180*z**6 + 0*z. Let q(w) be the third derivative of y(w). Factor q(v).
-2*(v + 1)**2
Let d be (788/(-1379))/((-4)/14). Let a(o) be the third derivative of 1/2*o**3 - 7*o**d + 0 - 1/20*o**5 + 0*o - 1/8*o**4 + 1/40*o**6. Factor a(h).
3*(h - 1)**2*(h + 1)
Suppose -858*o - 6 = -861*o. What is m in 8/11*m + 2/11*m**o - 10/11 = 0?
-5, 1
Suppose -7*g**2 + 11*g - 27*g**2 + 3*g + 23*g + 36 + 35*g**2 = 0. What is g?
-36, -1
Let r = -20470 + 20475. Factor 0*d + 6/5*d**3 - 2/5*d**2 - 6/5*d**4 + 2/5*d**r + 0.
2*d**2*(d - 1)**3/5
Let f(d) be the first derivative of -d**6/3 - d**5/2 - d**4/8 - 81. Find g such that f(g) = 0.
-1, -1/4, 0
Let f(h) be the third derivative of 2*h**7/315 - 19*h**6/360 - h**5/20 + 19*h**4/72 + 5*h**3/18 - 8*h**2. Determine g, given that f(g) = 0.
-1, -1/4, 1, 5
Let j(l) be the first derivative of 6561*l**4/2 - 486*l**3 + 27*l**2 - 2*l/3 + 69. Find d such that j(d) = 0.
1/27
Suppose 354*r = -350*r + 706*r. Factor -22/13*u**2 + 18/13*u**3 + 4/13*u + r.
2*u*(u - 1)*(9*u - 2)/13
Let z(h) = 4*h**5 + 