15, 0, 1
Let h(x) be the third derivative of 0*x - 1/100*x**5 - 2 - 1/12*x**4 + 1/100*x**6 - 1/1050*x**7 + 0*x**3 + 6*x**2. Factor h(w).
-w*(w - 5)*(w - 2)*(w + 1)/5
Let l = 728 - -537. Let c = l + -1260. What is s in 15/2*s - 10*s**3 + 0*s**4 + 5/2*s**c - 5*s**2 + 5 = 0?
-1, 1, 2
Let x = 414/2869 + 44633/28690. Let x*o**2 - 31/10*o - 1/10*o**3 + 3/2 = 0. Calculate o.
1, 15
Let p be (-17196)/(-1680) + 7/140. Factor -24/7*b**4 + 0 - 66/7*b**3 - 27/7*b - 3/7*b**5 - p*b**2.
-3*b*(b + 1)**2*(b + 3)**2/7
Let z(o) be the first derivative of -o**6/30 - 14*o**5/25 + 73*o**4/20 + 14*o**3/15 - 36*o**2/5 + 2996. Determine n so that z(n) = 0.
-18, -1, 0, 1, 4
Let z be ((-29624)/(-8855) - 6/(-165)) + (-2)/11. Determine t, given that 1/5*t**2 - z*t - 17/5 = 0.
-1, 17
Let v be 8/18*(-54)/(-12). Let l(t) be the first derivative of -4*t**4 + 8/5*t**5 + 6*t**v + 2/3*t**6 + 0*t + 23 - 8/3*t**3. Factor l(r).
4*r*(r - 1)**2*(r + 1)*(r + 3)
Suppose 507*a = -432*a + 294*a + 1290. Let l(g) be the first derivative of -25/4*g**4 - a*g**5 + 5/2*g**2 + 23 - 5*g**3 + 5*g. Factor l(s).
-5*(s + 1)**3*(2*s - 1)
Factor 0 - 166/11*t**2 - 2/11*t**3 + 168/11*t.
-2*t*(t - 1)*(t + 84)/11
Let a(p) be the first derivative of -p**4/2 + 50*p**3 + 76*p**2 - 5055. Factor a(j).
-2*j*(j - 76)*(j + 1)
Let z(h) = -h**3 + 10*h**2 + 17*h - 33. Let t be z(11). Find d such that -47*d**3 + 494*d**2 - 52*d**4 + 16 - t*d**3 - 474*d**2 - 8*d**5 + 88*d + 16 = 0.
-4, -2, -1, -1/2, 1
Factor 2/3*x**3 + 2010*x**2 + 676716750 + 2020050*x.
2*(x + 1005)**3/3
Let c(m) be the third derivative of -m**5/60 + 123*m**4/8 + 746*m**3/3 + 325*m**2. Suppose c(d) = 0. Calculate d.
-4, 373
Let m(t) be the second derivative of -7*t**4/6 + 30*t**3 - 2025*t**2/7 - 992*t. Factor m(r).
-2*(7*r - 45)**2/7
Let q be 2655655/608940 + 1/(1/3 - -1). Factor 52/9*f + q + 2/3*f**2.
2*(f + 1)*(3*f + 23)/9
Let t be -1 + (-69)/12 + (-2)/8. Let f be (2 + 3 + t)/(-4 + 3). Factor -i**f + 4 + 4*i - 15 + 8 + 8.
-(i - 5)*(i + 1)
Suppose 5*r + a - 7 = 2*a, 25 = 5*r + 5*a. Suppose r = g - 2. Factor -9*w**4 + 15*w**2 - 6*w**4 + 5*w**5 - 6*w + 5*w**3 - g*w.
5*w*(w - 2)*(w - 1)**2*(w + 1)
Suppose -q + 86 = 4*s, -3*q = -36*s + 41*s - 111. Suppose -160/7*u - 1/7*u**q - 6400/7 = 0. Calculate u.
-80
Suppose -27 = 5*i - 14*i. Solve g**3 - g**i + 2*g**3 - 75 + 12*g**2 + 11 = 0 for g.
-4, 2
Let r = 919 + -917. Let 7 - 3*p + 28*p**2 - 3*p - 71*p**r - 6*p**3 = 0. What is p?
-7, -1/2, 1/3
Suppose -9*w - 24 = -13*w. Suppose -w*v + 23*v - 51 = 0. Let -44/5*r**2 + 22/5*r**v - 24*r - 2/5*r**4 + 144/5 = 0. Calculate r.
-2, 1, 6
Let o = 1273 - 1273. Let t(j) be the second derivative of -j + 0 + 0*j**2 - 2*j**3 + 3/20*j**5 + o*j**4. Factor t(q).
3*q*(q - 2)*(q + 2)
Suppose 83 = 86*c - 85*c. Factor -83 + c - 8*q**4 - 8*q**2 - q**5 - 21*q**3 - 10*q**2.
-q**2*(q + 2)*(q + 3)**2
Suppose 3374 - 3216*z + 401 - 471*z**2 - 563 + 475*z**2 = 0. What is z?
1, 803
Let n(b) be the first derivative of 1/4*b**4 + 0*b**3 + 0*b - 2 - 1/6*b**2 - 2/15*b**5. Find k such that n(k) = 0.
-1/2, 0, 1
Let h be (-135)/(-20)*4 + 6. Solve h*d + 102*d**2 + 48*d**3 - 12*d**4 - 6 - 75*d**2 - 90*d**2 = 0 for d.
1/2, 1, 2
Let b(a) = 80*a**2 - 1127*a - 2682. Let f(c) = -40*c**2 + 560*c + 1340. Let m(x) = -5*b(x) - 9*f(x). Determine w so that m(w) = 0.
-2, 135/8
Factor -40*a + 315 - 93 - 1419*a**2 + 2843*a**2 - 1426*a**2 - 28*a.
-2*(a - 3)*(a + 37)
Let p be 1/15*((-160)/(-7))/(2925/24570). Let d = 3 - 0. Factor 0 + 16/5*x**2 - 1/5*x**d - p*x.
-x*(x - 8)**2/5
Let j(s) be the first derivative of -13/2*s**2 + 169*s + 1/12*s**3 + 20. Determine v, given that j(v) = 0.
26
Let f(m) = 7*m**2 + 78*m + 8. Let w(i) = -13*i**2 - 154*i - 15. Let r(v) = 15*f(v) + 8*w(v). What is u in r(u) = 0?
0, 62
Let j(w) be the first derivative of 2*w**5/55 + 1548*w**4/11 + 1597536*w**3/11 - 334. What is y in j(y) = 0?
-1548, 0
Let a(i) = -42 - 60*i - 20*i**2 + 42 + 72. Let v(k) = 13*k**2 + 40*k - 48. Let b(j) = 5*a(j) + 8*v(j). Suppose b(o) = 0. Calculate o.
-6, 1
Let t(a) be the third derivative of 1/105*a**7 - 1/21*a**3 + 0 - 1/42*a**4 + 1/588*a**8 + 2*a**2 + 2/105*a**6 + 1/105*a**5 + 0*a. Let t(l) = 0. What is l?
-1, 1/2
Suppose 420 + 8475*h**3 + 11707*h + 7845*h**2 - 5814*h + 3250*h**4 - 2853*h = 0. What is h?
-1, -21/26, -2/5
Let o(h) be the third derivative of h**8/756 - 44*h**7/945 + 11*h**6/18 - 52*h**5/15 + 6*h**4 - 4623*h**2. Suppose o(a) = 0. What is a?
0, 1, 6, 9
Let u be 896 + -892 - (27/(-4) - 1) - 11. Solve -r + u*r**3 + 0 + 5/4*r**2 + 1/4*r**5 - 5/4*r**4 = 0.
-1, 0, 1, 4
Suppose -114*h + 2307 = 1965. Suppose -49/3 - 38/3*a**h + 182/3*a - 92/3*a**2 - a**4 = 0. Calculate a.
-7, 1/3, 1
Let i = 183 - 159. Determine x, given that 18*x**3 - i + 24*x**5 - 11*x**3 + 14*x**3 - 36*x - 27*x**5 + 6*x**2 = 0.
-2, -1, 2
Factor -7/3*p**2 + 1180 - 12388/3*p.
-(p + 1770)*(7*p - 2)/3
Let i = -215225 + 215227. Factor -7/2*u**3 - 23/2*u**i + 11*u + 4.
-(u - 1)*(u + 4)*(7*u + 2)/2
Let l(g) be the first derivative of 4*g**5/5 - g**4 - 40*g**3/3 - 16*g**2 - 191. Find j, given that l(j) = 0.
-2, -1, 0, 4
Let i(p) = -3*p**2 + 566*p - 26049. Let o be i(109). Find m such that 0*m + 1/4*m**o - 9/4 = 0.
-3, 3
Suppose 3*m - 52 = 5*h, 8*m - 4*h - 47 = 5*m. Suppose 0 = -2*t + 45 - m. Let t*z**2 + 3*z**3 - 9*z**2 - 6*z**2 = 0. What is z?
-1, 0
Let f(o) = 4*o**4 + 20*o**3 + 29*o**2 + 14*o + 3. Let v(l) = l. Let j = -191 - -193. Let k(y) = j*v(y) + f(y). Factor k(m).
(m + 1)*(m + 3)*(2*m + 1)**2
Let k = -36/4877 + 10078/43893. Suppose -k*z**2 + 0 + 4/3*z = 0. Calculate z.
0, 6
Let y(f) be the first derivative of f**4/3 + f**3/9 - 63. Find p such that y(p) = 0.
-1/4, 0
Find y such that -225/4 - 1/4*y**5 - 285/4*y + 15/2*y**3 - 17/2*y**2 + 3/4*y**4 = 0.
-3, -1, 5
Suppose -3*p + 5*p + k = -1, 3*p - k = 11. Factor -p*t - 4*t**3 - 18*t**2 + 11*t + 4*t**2 + 14*t**4 - 5*t.
2*t*(t - 1)*(t + 1)*(7*t - 2)
Let z = 596 - 594. Let v be z/(-6)*(-3 - (-9)/(-15)). Factor 0 + 2/5*k**4 - 6/5*k - 2/5*k**2 + v*k**3.
2*k*(k - 1)*(k + 1)*(k + 3)/5
Suppose 0 + 572/3*i**3 - 6912*i - 6720*i**2 - 4/3*i**4 = 0. Calculate i.
-1, 0, 72
Let t(s) be the first derivative of -s**4/6 - 484*s**3/9 - 241*s**2/3 + 12776. Determine f, given that t(f) = 0.
-241, -1, 0
Let f(s) be the first derivative of 15*s**3 + 15*s**2/2 - 13*s + 51. Let c(g) = 15*g**2 + 5*g - 4. Let t(n) = -17*c(n) + 6*f(n). Find v such that t(v) = 0.
-1, 2/3
Let u(v) be the first derivative of 0*v**2 + 2/21*v**3 + 1/21*v**4 - 6*v - 19. Let a(i) be the first derivative of u(i). Solve a(p) = 0.
-1, 0
Let -273/5*s - 1/5*s**3 + 6*s**2 + 784/5 = 0. Calculate s.
7, 16
Let v(o) = -5*o**2 + 20*o - 18. Let l(r) = 4*r - 57. Let i be l(23). Let d(n) = -12*n + i*n**2 - 95*n - 33*n + 125. Let s(w) = 2*d(w) + 15*v(w). Factor s(p).
-5*(p - 2)**2
Let y be (-3)/(-2) + 151/(-10). Let t = y + 15. Factor -l**4 + 0 - 2/5*l - t*l**2 - 1/5*l**5 - 9/5*l**3.
-l*(l + 1)**3*(l + 2)/5
Let z be 18 - (-17 + 1746/50). Let l(w) be the second derivative of -2/15*w**4 + 16*w - 1/75*w**6 + 0*w**2 + 0*w**3 + 0 + z*w**5. Let l(q) = 0. Calculate q.
0, 2
Let n be (-16 + 17)*(-1 - -14) + -1. Solve 20 - n*w - 9*w - 22*w**2 + 2*w + 21*w**2 = 0 for w.
-20, 1
Suppose 0 = 4*z - 2*l + 16, 3*z = 61*l - 58*l - 36. Solve -8/9*q**z + 0*q + 10/9*q**3 + 0 - 2/9*q**2 = 0.
0, 1/4, 1
Factor 259*p - 71 + 21 - 8 - 8*p**3 - 194*p**2 + p**3.
-(p - 1)*(p + 29)*(7*p - 2)
Let n(r) be the second derivative of r**6/90 + 22*r**5/15 + 11*r**3/6 + 3*r**2/2 - 178*r. Let b(f) be the second derivative of n(f). What is o in b(o) = 0?
-44, 0
Let s = 15 - 3. Let h(z) = -2*z**2 + 2*z - 7*z**2 + s*z + 4*z - 9. Let d(t) = t**2 - t + 1. Let p(x) = 12*d(x) + h(x). Let p(r) = 0. What is r?
-1
Let s(l) be the second derivative of -11/54*l**4 - 1/90*l**5 + 49/3*l**2 - 7/27*l**3 + 6 - 4*l. Let s(n) = 0. Calculate n.
-7, 3
Let m be (-24)/(-60) + 8/5. Let v = -98/605 - -5884/13915. Factor -20/23 - v*p**m + 34/23*p.
-2*(p - 5)*(3*p - 2)/23
Let d(y) = -2*y**3 + 33*y**2 - 251. Let x be d(16). Suppose -5*u = 2*j - 9, -x*u + 5 = j - 2*u. Factor 0 + 2/11*r**j + 12/11*r.
2*r*(r + 6)/11
Let l = 7241 - 28955/4. Suppose -8 - 16 = -12*j. Factor 0*y - 3/4*y**3 + l*y**j - 3.
-3*(y - 2)**2*(y + 1)/4
Let q(o) be the second derivative of -o**5/140 + 131*o**4/84 + 1223*o. Factor q(l).
-l**2*(l - 131)/7
