c**4 + 3*c**2 - 207*c**4 + 4*c - c. Let d(z) = -z - 3*z + 3*z**4 + 0*z**4 + 2*z**3 - 4*z**2. Let a(x) = 3*d(x) + 4*l(x). Factor a(o).
o**3*(o - 2)
Let u(q) = -6*q**2 - 1160*q. Let r(m) = 13*m**2 + 2302*m. Let x(n) = 2*r(n) + 5*u(n). Factor x(y).
-4*y*(y + 299)
Let v be ((-16)/4)/24*-8. Suppose 0 = 928*l - 883*l - 135. Factor -2/3*f + 5/6*f**l + 0 - v*f**2.
f*(f - 2)*(5*f + 2)/6
Let h(i) = 5*i**3 + i - 22. Let w(c) = 9*c**3 + c**2 + c - 43. Let q = 205 - 212. Let d(x) = q*h(x) + 4*w(x). Solve d(t) = 0 for t.
-3, 2
Let n(s) be the second derivative of 0 - 282*s + 145/6*s**3 - 10*s**2 - 35/12*s**4. Suppose n(d) = 0. What is d?
1/7, 4
Let g(m) = 22*m + 244. Let h be g(-11). Let o(x) be the second derivative of 4*x + 0 + 1/48*x**4 - 1/12*x**3 + 1/8*x**h. Factor o(k).
(k - 1)**2/4
Let y(n) be the second derivative of n**4/12 - 17*n**3/3 - 36*n**2 + 2749*n. Factor y(t).
(t - 36)*(t + 2)
Suppose 0 = 3*g - 3*u - 9, -4*g - 2*u + 3*u = -3. Suppose g = 3*d - 3*n - 18, -2*d + 2*n + 10 = n. Factor -13*r + 40*r**2 - 16*r**3 - 9*r**3 - 7*r + 5*r**d.
5*r*(r - 2)**2*(r - 1)
Suppose 5*r - 20 = 3*m, 0 = 4*r - m - 2*m - 16. Determine u so that 255*u**2 + 140*u - 12*u**r - 45*u**5 + 540 + 125*u**3 - 43*u**4 - 520 = 0.
-1, -2/9, 2
Determine r so that 27/4*r**2 - 249/4*r + 27/4*r**4 + 249/4*r**3 - 27/2 = 0.
-9, -1, -2/9, 1
Suppose 3*z = -0*j - 5*j + 88, -22 = -2*z + 4*j. Let t be 20*19/154 + (-6)/z. Factor -t + 18/11*n**3 + 6*n - 60/11*n**2.
6*(n - 1)**2*(3*n - 4)/11
Let s = -53 - -59. Suppose -q - 5*f + 12 = 0, 0 = -3*q + 4*f - s*f + 10. Find v such that 0*v**q + 1/5*v**4 + 0 + 1/5*v**3 + 0*v = 0.
-1, 0
Suppose 178*y + 305*y + 27*y - 1206 = 834. Determine f so that 9/2*f + 3/4*f**y - 9/8*f**3 - 3/2 - 21/8*f**2 = 0.
-2, 1/2, 1, 2
Let n(s) = s**2 + 53*s + 54. Let v be n(-1). Let o be v*((-261)/72 - -4). Factor -1/4*r**2 - o*r**3 - 1 + 2*r.
-(r - 1)*(r + 2)*(3*r - 2)/4
Let w(q) be the second derivative of q**5/40 - 31*q**4/12 + 224*q**3/3 + 512*q**2 + 886*q. Factor w(m).
(m - 32)**2*(m + 2)/2
Let 0*b**3 + 170*b**3 - 206*b**2 - 202 - 168*b**3 + 406*b = 0. What is b?
1, 101
Let y(t) = -t**2 - t - 1. Let m(a) = a**3 - 276*a**2 - 548*a - 278. Let u(v) = -4*m(v) + 28*y(v). Factor u(b).
-4*(b - 271)*(b + 1)**2
Let g(d) be the first derivative of 25*d**4 - 29020*d**3/3 - 11632*d**2 - 4656*d + 1494. Factor g(l).
4*(l - 291)*(5*l + 2)**2
Let y(a) be the first derivative of -3*a**6 - 7308*a**5/5 - 183606*a**4 + 4465168*a**3/9 - 498304*a**2 + 221952*a - 8412. Factor y(b).
-2*(b + 204)**2*(3*b - 2)**3/3
Suppose -4*w - 269 = -3*a, -3*a - 4*w - 356 = -7*a. Solve 109*j + a*j**3 + 3*j**5 + 49*j + 117*j**2 + 27*j**4 - 104*j = 0.
-3, -2, -1, 0
Let s(y) be the second derivative of -23/8*y**3 + 1/16*y**4 + 33/4*y**2 + 0 + 16*y. Solve s(g) = 0 for g.
1, 22
Let h be 4 - (0 + -2) - -2. Suppose -2*g + 0*g = -h. Factor 2*a**3 - 3*a**2 + 0*a**4 - a**g + 2*a**4 + 4*a**2.
a**2*(a + 1)**2
Let o(l) be the first derivative of -12/35*l**5 - 1/7*l**6 + 6/7*l**4 - 9/7*l**2 + 4/7*l**3 + 0*l + 72. Suppose o(u) = 0. What is u?
-3, -1, 0, 1
Let g = 88468 - 351921/4. Let l = g + -487. Factor -l*u**5 + 0 + 3/4*u**4 + 0*u + 0*u**2 + 0*u**3.
-3*u**4*(u - 1)/4
Let p(h) = 4*h**2 - 50*h + 763. Let q(o) = -o**2 - o - 1. Let r(i) = -p(i) - 7*q(i). Factor r(c).
3*(c - 9)*(c + 28)
Let g(q) = -340*q**2 - 20235*q - 5045. Let k(c) = -12*c**2 + 2*c + 1. Let w(z) = g(z) - 30*k(z). Solve w(v) = 0 for v.
-1/4, 1015
Let y = -635 + 383. Let i = y + 1264/5. Determine q, given that 2/15*q**4 - i*q**3 - 2/5 - 22/15*q + 2/15*q**5 - 28/15*q**2 = 0.
-1, 3
Let j(s) be the first derivative of s**5/30 - 5*s**4/12 - 37*s**3/6 + 62*s**2/3 - 64*s/3 + 1683. Find p, given that j(p) = 0.
-8, 1, 16
Let t(l) be the second derivative of -l**5/150 - 3*l**4/10 + 29*l**2/2 + 10*l - 2. Let u(n) be the first derivative of t(n). Factor u(o).
-2*o*(o + 18)/5
Let o(u) be the first derivative of 21/2*u**2 - 7/3*u**3 - 14*u + 27. Let c(p) = 6*p**2 - 21*p + 15. Let f(d) = 4*c(d) + 3*o(d). Factor f(l).
3*(l - 6)*(l - 1)
Let d(n) be the third derivative of 2*n**7/105 + n**6/10 - 4*n**5/15 - 2*n**4 - 8*n**2 - 367. Factor d(s).
4*s*(s - 2)*(s + 2)*(s + 3)
Let j be 25/2 + -5 + -13 + 2 + 5. Let 93/8*r - 6*r**3 - 21*r**2 - j = 0. Calculate r.
-4, 1/4
Let v(l) = 9*l**3 + 44*l**2 + 93*l + 54. Let x(t) = -t**3 - t**2 - 2*t - 1. Let n = 63 - 62. Let k(y) = n*v(y) + 4*x(y). Solve k(b) = 0.
-5, -2, -1
Let a(f) = f**2 + 4*f - 2. Let t be a(-6). Suppose -4*m + 9*m = t. Factor 3*y - y**m + 7*y**3 + 7*y**2 - y**3 - 3*y**3.
3*y*(y + 1)**2
Factor -29*m**2 - m**3 - 30*m - 113106*m**4 + 3*m**3 + 113107*m**4.
m*(m - 5)*(m + 1)*(m + 6)
Let y be 7/(-14) - (-49)/14. Factor 58*j**3 + 2640*j**2 - 2880*j + 24*j**y - 5*j**4 + 10*j**4 + 101*j**3 + 52*j**3.
5*j*(j - 1)*(j + 24)**2
Determine r, given that -72*r + 0 + 1/4*r**3 + 7*r**2 = 0.
-36, 0, 8
Let h = 17 - 23. Let i be (-2)/(h/81) - 1. Let f(l) = 9*l**3 - 11*l**2 - 49*l. Let p(q) = -2*q**3 + 3*q**2 + 12*q. Let n(v) = i*p(v) + 6*f(v). Factor n(y).
2*y*(y + 3)**2
Suppose -3*b = 5*w - 432, -4*w + 340 = b - 0*b. Let s = w + -78. Factor -10*z**2 + 9*z**4 + 2*z**3 - 2*z - s*z**2 + 4 - 7*z**4 + 10*z**2.
2*(z - 1)**2*(z + 1)*(z + 2)
Let v(y) be the third derivative of -1/108*y**4 + 1/540*y**6 + 10/27*y**3 + 0*y - 3*y**2 + 4 - 1/27*y**5. Factor v(t).
2*(t - 10)*(t - 1)*(t + 1)/9
Let a(h) = 3*h - 26. Let u be a(10). Factor 7 + u*m**2 + 9 - 874*m + 854*m.
4*(m - 4)*(m - 1)
Let u be ((-656)/(-64) + -5)*(171/(-126))/(-19). Suppose 1/4*o - 1/8*o**4 + 0*o**3 + u*o**2 + 0 = 0. Calculate o.
-1, 0, 2
Let k(i) be the third derivative of 2*i**7/105 - 2*i**6/5 + 3*i**5 - 9*i**4 + 12*i**2 + 31. Factor k(s).
4*s*(s - 6)*(s - 3)**2
Factor -2*c**4 - 810*c**2 + 811 + 94*c**3 - 406 - 8748*c - 405 + 2*c**3.
-2*c*(c - 27)**2*(c + 6)
Let s(t) be the second derivative of -3721*t**6/210 + 61*t**5/35 - t**4/21 + 3*t + 138. Suppose s(p) = 0. What is p?
0, 2/61
Let m(u) be the third derivative of 1/60*u**6 + 0*u - 4 + 0*u**3 - 3*u**2 - 7/30*u**5 + 0*u**4. Let m(y) = 0. What is y?
0, 7
Let u(l) be the second derivative of l**6/5 + 9*l**5/4 - 35*l**4/4 - 75*l**3/2 - 81*l**2/2 + 3*l - 1168. Let u(h) = 0. What is h?
-9, -1, -1/2, 3
Let r(i) = -5 + 24*i + 2*i**3 - 67 - 78 + 20*i**2. Let p(b) = -4*b**3 - 40*b**2 - 48*b + 298. Let c(f) = -3*p(f) - 5*r(f). Determine z so that c(z) = 0.
-6, 2
Determine g so that 201*g - 52359*g**3 + 171*g**2 + 3*g**4 + 104695*g**3 + 78 - 52285*g**3 = 0.
-13, -2, -1
Suppose -k + 2132 = 3*h, -2*h - 79 = -k - 1497. Let l = 1429/2 - h. Suppose 21*m**3 + 34*m**2 + 0 + 12*m - l*m**4 = 0. Calculate m.
-2/3, 0, 6
Let q(b) be the first derivative of b**2 - 1/3*b**3 + 0*b + 15 + 1/20*b**5 - 1/8*b**4. Solve q(w) = 0 for w.
-2, 0, 2
Solve 81 + 504*n**2 - 69*n**3 - 945/2*n - 57*n**4 + 27/2*n**5 = 0.
-3, 2/9, 1, 3
Let x(d) be the third derivative of d**7/70 - 7*d**6/40 + d**5/5 + 3*d**4/2 + 1773*d**2. Factor x(l).
3*l*(l - 6)*(l - 2)*(l + 1)
Let h(t) be the second derivative of -3*t**5/20 - 9*t**4/2 - 95*t**3/2 - 225*t**2 - 2467*t. What is k in h(k) = 0?
-10, -5, -3
Let n(u) be the third derivative of 1/30*u**5 + 0 + 10/3*u**3 - 40*u**2 + 11/12*u**4 + 0*u. Factor n(s).
2*(s + 1)*(s + 10)
Factor -79*q + 12*q**2 - 353*q + 29*q - 9*q**2 - 155*q.
3*q*(q - 186)
Suppose -222*j**3 - 100*j**4 - 648*j + 68*j**4 - 1116*j**2 + 23*j**4 = 0. Calculate j.
-18, -6, -2/3, 0
Let x = -676 + 675. Let s be 31648/2760 + x/((-6)/(-4)). Find z such that -3/5*z**4 - s*z**2 - 21/5*z**3 - 12*z - 24/5 = 0.
-2, -1
Suppose 20 = 37*a - 35*a. Suppose a*y - 40 - 10 = 0. Find j such that 27*j**3 + 15 + 4*j**4 - 32*j**3 + 65*j + 31*j**4 + 5*j**y + 95*j**3 + 110*j**2 = 0.
-3, -1
Let o be ((-28)/16)/((-10302)/272 + 37). Determine u so that -23/4*u**o + 9 - 1/2*u**3 - 15*u = 0.
-6, 1/2
Let g(v) be the first derivative of 8*v**2 + 0*v - 16/3*v**3 + 4/5*v**5 - 13 - v**4. Factor g(w).
4*w*(w - 2)*(w - 1)*(w + 2)
Let d(o) be the third derivative of 39*o**2 - 1/3*o**4 + 1/5*o**5 + 0*o + 1/15*o**6 + 0 + 0*o**3. Determine k, given that d(k) = 0.
-2, 0, 1/2
Let b(g) be the first derivative of -g**6/3 + 4*g**5 - 20*g**4 + 160*g**3/3 - 80*g**2 + 64*g + 847. Factor b(y).
-2*(y - 2)**5
Let u(p) be the third derivative of p**5/12 + 5*p**4/12 + 173*p**2 + 1. Let u(j) = 0. What is j?
-2, 0
Let g(l) 