3*m**2 + p - 1/6*m = 0. Calculate m.
-1, 0
Let d = -11084/5 + 2218. Solve -3/5*z**2 - d*z - 3/5 = 0 for z.
-1
Let n be -1 - ((1 - -1) + -3). Suppose -f - 9 + 3 = -3*p, 2*f + p - 9 = n. Factor -14*d**2 + 6*d + 2*d**f + 8*d**2 + 12*d**2 + 2.
2*(d + 1)**3
Let l be (4/(-2 - 6))/(1/(-292)). Let z = l + -1020/7. Factor 0 + 2/7*t + z*t**5 - 4/7*t**3 + 0*t**4 + 0*t**2.
2*t*(t - 1)**2*(t + 1)**2/7
Let v be -2 - (120/150)/((-2)/15). Let c(p) be the second derivative of 1/24*p**4 + v*p + 3/4*p**2 - 1/40*p**5 + 0 + 5/12*p**3. Suppose c(r) = 0. Calculate r.
-1, 3
Let i(a) = 51*a**2 - 10*a. Let d(p) be the second derivative of 0*p**2 - 140/3*p**4 + 12*p + 55/3*p**3 + 0. Let s(h) = 4*d(h) + 45*i(h). Factor s(v).
5*v*(11*v - 2)
Let u = -8/459 + 824/459. Determine p so that -u + 8/9*p - 1/9*p**2 = 0.
4
Let h be (3/2)/(-3) + (-216)/(-48). Let c(w) be the third derivative of 0 + 49/15*w**5 + w**2 + 14/3*w**h + 0*w + 8/3*w**3. Find j, given that c(j) = 0.
-2/7
Suppose 0 = n - 0*n + 1. Let l be n/(-3) - 8/(-3). Solve -d**2 - 7*d + d**l + 7*d = 0 for d.
0, 1
Suppose 4/9*n**2 + 0 + 2/3*n - 2/9*n**3 = 0. What is n?
-1, 0, 3
Let k be (-5 - -3) + (5 - 68)/(-9). Factor 0 + 3/2*i**4 + 3/4*i**k - 3/4*i - 3/2*i**2 + 0*i**3.
3*i*(i - 1)*(i + 1)**3/4
Suppose -9*s + 86 - 59 = 0. Let f(n) = n**2 - n + 6. Let h be f(0). What is c in c**2 + 9*c + s*c**2 - c - h - 6 = 0?
-3, 1
Let m be 27/7 - (-6)/42. Solve 30*c**3 - 5*c**4 - 65*c**2 - 4*c**m + 60*c - 20 + 4*c**4 = 0 for c.
1, 2
Let s(p) = -p**4 + 1. Let l(y) = 245*y**5 - 347*y**4 - 15*y**3 + 100*y**2 + 20*y - 3. Let q(x) = l(x) + 3*s(x). Solve q(t) = 0 for t.
-2/7, 0, 1
Let m(h) be the first derivative of 13/2*h**2 - 7/6*h**3 + 4*h - 47. Factor m(z).
-(z - 4)*(7*z + 2)/2
Let o(l) be the first derivative of 14 - 5/22*l**4 - 4/33*l**3 + 0*l**2 + 0*l - 1/33*l**6 - 8/55*l**5. Factor o(b).
-2*b**2*(b + 1)**2*(b + 2)/11
Factor -10*p + 1 + 4*p**2 + 21*p - 25 - 4*p - 11*p.
4*(p - 3)*(p + 2)
Find q, given that 1600/3 - 1760/3*q - 4/3*q**3 + 164/3*q**2 = 0.
1, 20
Suppose 490*f = 496*f - 24. Let r(u) be the second derivative of 0*u**2 + 11*u + 0 - 1/2*u**f + 1/4*u**3. Factor r(a).
-3*a*(4*a - 1)/2
Factor 21*v + 35*v**2 - 245*v**3 + 39*v + 45 + 105*v.
-5*(v - 1)*(7*v + 3)**2
Factor -1437*x**2 - 1374*x - 1427*x**2 - 459 + 2873*x**2.
3*(x - 153)*(3*x + 1)
Let b(f) be the first derivative of -f**6/75 - f**5/50 + f**4/30 + f**3/15 - 24*f + 9. Let s(h) be the first derivative of b(h). Factor s(n).
-2*n*(n - 1)*(n + 1)**2/5
Suppose 3*a - 15*a = -48. Let y(g) be the second derivative of -2*g + 1/42*g**a + 1/70*g**5 + 0*g**3 + 0*g**2 + 0. Factor y(l).
2*l**2*(l + 1)/7
Let z be (0 + (-9)/(-15))/((-3801)/(-3620)). Suppose -6/7*b**5 - 8/7*b**2 + 2/7*b + 0 + 8/7*b**4 + z*b**3 = 0. What is b?
-1, 0, 1/3, 1
Let i = 238813/7 + -34114. Factor -3/7*u**3 - 3*u**2 - i - 33/7*u.
-3*(u + 1)**2*(u + 5)/7
Let p(f) be the third derivative of -7/8*f**4 + 10*f**2 + 0*f**3 - 1/20*f**5 + 0*f + 0. Factor p(n).
-3*n*(n + 7)
Suppose -99*b = -104*b - 25, 23 = -y - 5*b. Factor 2/9*f**3 + 242/9 + 286/9*f + 46/9*f**y.
2*(f + 1)*(f + 11)**2/9
Factor 14*v**2 - 242/3 - 2/3*v**3 - 66*v.
-2*(v - 11)**2*(v + 1)/3
Let f = 2647 - 7939/3. Suppose 2/3*q + 0*q**2 + 0 - f*q**3 = 0. What is q?
-1, 0, 1
Let m = 13141/7 - 1875. Solve -12/7*x + m*x**2 + 2/7 + 4/7*x**3 - 18/7*x**4 + 8/7*x**5 = 0.
-1, 1/4, 1
Suppose -13 = -4*i - t, 2*i - 3*t - 20 = t. Factor i*y**2 + 12*y + 73 - 73.
4*y*(y + 3)
Let y be (-15)/6 - ((-5719)/1290 - (-6)/10). Factor y + 4/3*i + 1/3*i**2.
(i + 2)**2/3
Let r(a) be the third derivative of a**6/24 - 31*a**5/12 + 295*a**4/24 - 145*a**3/6 + 147*a**2. Factor r(t).
5*(t - 29)*(t - 1)**2
Let k(w) be the third derivative of w**8/4200 + w**7/700 + w**6/450 + w**3/3 - 28*w**2. Let s(p) be the first derivative of k(p). Factor s(a).
2*a**2*(a + 1)*(a + 2)/5
Let r(q) be the third derivative of -q**6/60 - 7*q**5/30 - 5*q**4/4 - 3*q**3 + 3*q**2 - 9*q. Factor r(s).
-2*(s + 1)*(s + 3)**2
Let x be 5/4*756/270. Let v(p) be the first derivative of x*p**4 - 6*p**3 + 0*p - 2 + 2*p**2. What is c in v(c) = 0?
0, 2/7, 1
Suppose -10*k + 1 = 1. Suppose -2*t = -x - 10, k = -t + x + x + 5. Factor 0*c**2 + 0 - 2/7*c**t - 1/7*c**3 + 0*c + 3/7*c**4.
-c**3*(c - 1)*(2*c - 1)/7
Determine u so that 26*u + 18*u**4 - 3*u**5 + 17*u - 39*u**3 - 5*u**2 - 55*u + 41*u**2 = 0.
0, 1, 2
Let m(o) be the first derivative of 4*o**5/5 + 81*o**4 - 220*o**3 + 166*o**2 + 270. Determine w so that m(w) = 0.
-83, 0, 1
Let i(j) = -j**2. Let u(y) be the third derivative of -y**7/70 + 7*y**6/120 - y**5/5 + y**4/24 - 9*y**2. Let o(x) = -21*i(x) + 3*u(x). Factor o(b).
-3*b*(b - 1)**2*(3*b - 1)
Let d(x) = -54*x**2 - 324*x - 186. Let q(f) = -10*f**2 - 65*f - 37. Let w(t) = -6*d(t) + 28*q(t). Factor w(z).
4*(z + 1)*(11*z + 20)
Let q(z) be the first derivative of -1/84*z**4 - 1/21*z**3 + 3/14*z**2 + 4 - z. Let w(u) be the first derivative of q(u). Suppose w(y) = 0. What is y?
-3, 1
Suppose 13 = -10*v - 17. Let h = 10/3 + v. Solve 1/3*t - 2/3 - h*t**3 + 2/3*t**2 = 0.
-1, 1, 2
Let o(j) = -j**2 + 37*j + 311. Let g be o(44). Suppose -8*b**g - 4/3*b + 0 - 28/3*b**2 = 0. What is b?
-1, -1/6, 0
Let i be 7 - (-9)/6*4/2. Let l be (-6)/i - (-15)/25. Find j such that -3/2*j**2 + l + j + 1/2*j**3 = 0.
0, 1, 2
Let y(m) = 35*m**3 - 25*m - 10. Let c(v) = 11*v**3 - 8*v - 3. Let g(x) = 10*c(x) - 3*y(x). Solve g(r) = 0 for r.
-1, 0, 1
Factor -3/2 + 5/6*s**2 + 1/2*s + 1/6*s**3.
(s - 1)*(s + 3)**2/6
Factor 40*m**2 + 234*m**5 + 58*m**3 - 2 + 34*m**4 - 3*m - 227*m**5 + 10*m.
(m + 1)**3*(m + 2)*(7*m - 1)
Factor 9*t - 3/5*t**2 + 0.
-3*t*(t - 15)/5
Suppose -5*h - p + 6 = p, 2*p = -2*h. Suppose -a = -5*a - 5*q + 132, -92 = -3*a - h*q. Factor 2*u**3 - 28*u + a*u - u**3 - u**2.
u**2*(u - 1)
Let m(h) = 19*h - 35. Let j be m(2). Determine y, given that 2/5*y**5 - y**j + 2/5 - 9/5*y - 3/5*y**4 + 13/5*y**2 = 0.
-2, 1/2, 1
Suppose -873*u = -878*u. Factor -15/2*o**2 + 9/2*o**3 + 3/2*o**4 + u - 3/2*o**5 + 3*o.
-3*o*(o - 1)**3*(o + 2)/2
Let 0 + 2/3*g**2 - 2/3*g**3 + 8*g = 0. What is g?
-3, 0, 4
Let v = -327 + 346. Suppose 3 - v = -4*f. Suppose 0 + 0*h + 2/7*h**3 - 1/7*h**2 - 1/7*h**f = 0. Calculate h.
0, 1
Let y(p) be the third derivative of -p**7/70 - 9*p**6/40 - p**5 - 3*p**4/2 - 2*p**2 - 184. Factor y(j).
-3*j*(j + 1)*(j + 2)*(j + 6)
Let u(y) be the third derivative of -y**7/1785 - 3*y**6/340 + y**5/510 + 3*y**4/68 - 4*y**2 - 6. Find l such that u(l) = 0.
-9, -1, 0, 1
Let n(b) = -2*b**3 - 64*b**2 + 9*b + 292. Let i be n(-32). Solve -9/2*q**2 - 15/2*q + 6*q**i - 3/2 + 15/2*q**3 = 0.
-1, -1/4, 1
Let u(l) = -l. Let n(v) be the first derivative of -v**2 + 5 + 2/3*v**3 - 2*v. Let q(y) = n(y) - 2*u(y). Factor q(w).
2*(w - 1)*(w + 1)
Let w(q) be the second derivative of -q**5/30 - q**4/9 - q**3/9 - 81*q. Factor w(k).
-2*k*(k + 1)**2/3
Let m(r) be the first derivative of 3/2*r**2 + 1/3*r**3 + 1/2*r**6 + 15 - 1/2*r - 1/10*r**5 - 3/2*r**4. Solve m(f) = 0.
-1, 1/6, 1
Let a(w) be the first derivative of -2*w**5/5 + 5*w**4/4 - 4*w**3/3 + w**2/2 + 15. Solve a(h) = 0 for h.
0, 1/2, 1
Let i(w) = w**2 + 6*w + 33. Let j be i(-7). Let g be (-16)/j + ((-66)/(-15) - 0). Factor 0*p**2 + 0 + 0*p - 1/3*p**5 + 1/3*p**3 + 0*p**g.
-p**3*(p - 1)*(p + 1)/3
Determine v so that -5/2*v + 1/2*v**2 + 0 = 0.
0, 5
Let l be 3222/4475*(-5)/(-3). Determine s, given that -l*s + 3/5*s**2 + 6/5*s**3 - 3/5*s**4 + 0 = 0.
-1, 0, 1, 2
Let d(b) be the third derivative of -b**6/30 + 31*b**5/15 - 52*b**4 + 672*b**3 - 38*b**2 + 1. Find u such that d(u) = 0.
7, 12
Factor 927/4*d**2 + 3/4*d**4 + 315/4*d**3 + 921/4*d + 153/2.
3*(d + 1)**3*(d + 102)/4
Let -64*w - 14*w - 3*w**3 + 0*w**2 - 11*w**2 - 26*w**2 + 4*w**2 - 48 = 0. What is w?
-8, -2, -1
Let j(u) be the second derivative of u**4/12 + 16*u**3/3 + 31*u**2/2 - 5*u + 15. Factor j(n).
(n + 1)*(n + 31)
Suppose -a = 2*a + 5*o - 115, 55 = 2*a - o. Suppose a = 19*g - 8. Let 2/9*r**4 - 2/9*r**3 - 2/3*r**g + 10/9*r - 4/9 = 0. What is r?
-2, 1
Let q(v) be the first derivative of -13 + 0*v + 5/12*v**3 + 5/16*v**4 - 1/4*v**5 + 0*v**2 - 5/24*v**6. What is l in q(l) = 0?
-1, 0, 1
Let n(i) = 2*i**2 + 3*i + 5. Let l be n(-8). Factor -h**2 - 5*h**2 - 29 + l + 11*h**2 + 40*h.
5*(h + 4)**2
Let d be (3*8)/(-3) + (1 - -2). Let z be (d/(-1 - 4))/((-5)/(-2)). Solve -2/5*r**3 