?
-1, 1
Let q(j) be the third derivative of 0*j**3 + 0*j + 2*j**2 + 2/105*j**7 + 18 - 1/10*j**6 - 2/3*j**5 + 0*j**4. Factor q(g).
4*g**2*(g - 5)*(g + 2)
Let z(g) be the third derivative of 0 + 0*g + 42*g**2 - 2/75*g**6 + 0*g**4 + 0*g**3 + 1/350*g**7 + 1/60*g**5. Let z(m) = 0. Calculate m.
0, 1/3, 5
Suppose -105*u = -253*u - 115*u. Solve u - 2/13*l**2 + 28/13*l = 0 for l.
0, 14
Let z(o) be the second derivative of 50/3*o**2 + 1/90*o**6 + 0 + 7/30*o**5 + 23/12*o**4 + 38*o + 70/9*o**3. Factor z(b).
(b + 2)**2*(b + 5)**2/3
Let z(w) = -w**3 + 17*w**2 - 19*w + 44. Let o be z(16). Let t be (40/(-4) - o) + 336/40. Let -21/5*s - t + 3/5*s**3 - 6/5*s**2 = 0. What is s?
-1, 4
Let c(b) be the first derivative of 5*b**4/4 - 800*b**3/3 + 32785*b**2/2 - 62410*b - 117. Factor c(d).
5*(d - 79)**2*(d - 2)
Let i(d) be the third derivative of 0*d**3 + 0*d - 1/24*d**6 - 98*d**2 + 5/24*d**4 + 1/60*d**5 - 1/210*d**7 + 0. Determine y so that i(y) = 0.
-5, -1, 0, 1
Let h(a) be the first derivative of a**4/30 - 22*a**3/9 + 208*a**2/15 - 136*a/5 + 5465. Determine g, given that h(g) = 0.
2, 51
Let l(b) be the second derivative of -2*b**7/189 - 14*b**6/135 - b**5/5 + 23*b**4/27 + 100*b**3/27 + 16*b**2/3 - 211*b + 3. Find v, given that l(v) = 0.
-4, -3, -1, 2
Let k(z) = -z**2 + 150*z + 683. Let i(v) = v**2 - 75*v - 348. Let w(y) = 11*i(y) + 6*k(y). Determine u so that w(u) = 0.
-9, -6
Let m(v) be the first derivative of 12 - 1/15*v**3 - 1/10*v**2 + 1/50*v**5 + 0*v**4 + 1/150*v**6 - 2*v. Let i(l) be the first derivative of m(l). Factor i(t).
(t - 1)*(t + 1)**3/5
Let q(a) be the second derivative of -78*a + 0 + 0*a**2 + 1/6*a**6 - 25/4*a**4 - 1/2*a**5 + 0*a**3. Factor q(w).
5*w**2*(w - 5)*(w + 3)
Let n be ((-1139)/34170)/((-2)/72). Suppose -n*h - 3/5*h**2 + 24/5 = 0. What is h?
-4, 2
Suppose -3*p + 2*q + 8 = 0, -5*q = -5*p - q + 12. Factor 12*b**p - 2*b**4 + 98*b**2 - 30 + 5*b + 25*b**5 - 79*b**2 - 150*b**3 + 121*b**2.
5*(b - 1)**3*(b + 3)*(5*b + 2)
Let h be 67/(-6) + 34 + (-51 - -29). Let o(l) be the second derivative of -h*l**2 + 0 + 16*l - 1/36*l**4 + 1/3*l**3. Factor o(q).
-(q - 5)*(q - 1)/3
Find y such that 3969*y + 51*y**2 + 235*y**2 + 0*y**3 + 353*y**2 + 3*y**3 - 3333*y = 0.
-212, -1, 0
Let m be (-8 - -1) + 4/(-12)*-21. Let z(y) = 2*y**2 - 3*y + 1. Let b be z(2). Find t such that -12*t**b + m*t**2 + 11*t**3 - 3*t**2 = 0.
-3, 0
Factor -80/11*g + 288/11 + 2/11*g**2.
2*(g - 36)*(g - 4)/11
Let d = -552407/6 + 92068. Factor -7/6*k - d*k**2 + 0.
-k*(k + 7)/6
Let 4/7*a**4 - 2/7*a + 4/7 - 2/7*a**5 + 4/7*a**3 - 8/7*a**2 = 0. Calculate a.
-1, 1, 2
Let k(d) be the second derivative of -17/24*d**3 - 5/4*d**2 + 0 + 21*d - 1/80*d**5 - 1/6*d**4. Find y such that k(y) = 0.
-5, -2, -1
Let s be 14/10*(-14)/(-105)*(-25)/(-35). Factor -142/15 - s*a**2 + 48/5*a.
-2*(a - 71)*(a - 1)/15
Let z(i) = 2*i**3 + 229*i**2 - 1571*i + 242. Let y be z(-121). Factor -4/5*x**3 + 0*x + y + 0*x**2.
-4*x**3/5
Let z be ((-10)/24)/(4450/(-1068)). Let w be (-20)/25*(-2)/8. Factor -w*g + z*g**2 + 1/10.
(g - 1)**2/10
Let f(u) be the first derivative of u**5/24 - 25*u**4/16 + 35*u**3/6 - 69*u**2 + 185. Let x(b) be the second derivative of f(b). Suppose x(r) = 0. Calculate r.
1, 14
Suppose -8*l + 11*l = 27. Let q = l + -6. Factor -86*j**q + 4*j**2 + 4*j**5 + 6*j**4 + 98*j**3 + 6*j**4.
4*j**2*(j + 1)**3
Let g(i) = -i**2 - 2*i - 6. Let w be g(0). Let j be 20*(-1)/w + 2/(-6). Factor 1 - 8*f + f**j - 2 + 7*f + f**2.
(f - 1)*(f + 1)**2
Let n(o) be the first derivative of o**4/16 - 25*o**3/24 + 49*o**2/8 - 15*o - 1505. Factor n(w).
(w - 6)*(w - 4)*(2*w - 5)/8
Let c(y) be the first derivative of -11 + 0*y - 3/20*y**4 - 24/5*y**2 + 2*y**3. Factor c(h).
-3*h*(h - 8)*(h - 2)/5
Suppose 0 = 5*n, 3*b - 8*n + 12*n = 39. Suppose 7 = c - 5*w - 0, 3*w + b = 5*c. Solve 0*a - a**c - 1/2*a**4 - 3/2*a**3 + 0 = 0 for a.
-2, -1, 0
Suppose -10*a = 5*a - 30. Let 60 + 20 - 30*l - 243*l**4 - 60*l**5 + 79*l**4 + 604*l**3 - 396*l**a - 34*l = 0. What is l?
-5, -2/5, 2/3, 1
Let v(r) = 7*r**2 + 640*r + 4674. Let c be v(-8). Solve 16 - 4/3*h**3 + 92/3*h + 40/3*h**c = 0.
-1, 12
Let h = 208 - 75. Let c = 137 - h. Factor -3*z**c - 14*z**2 - z - 6*z**2 + 14*z**3 + 4*z + 5*z.
-z*(z - 2)**2*(3*z - 2)
Let k(c) be the first derivative of c**6/30 - 11*c**5/20 + 3*c**4/2 - 292*c + 272. Let p(a) be the first derivative of k(a). Factor p(j).
j**2*(j - 9)*(j - 2)
Factor -36/7*h**2 + 0 + 48/7*h + 0*h**3 + 3/7*h**4.
3*h*(h - 2)**2*(h + 4)/7
Suppose -2*f - 2 = 2*x, 3*f + 5*x + 4 = -9. Determine y so that 3965*y**2 + 130*y**3 + 2*y**4 + 50*y**3 + 40500*y + 85*y**2 + 151875 + y**f = 0.
-15
Factor -25/4 + 6*g + 1/4*g**2.
(g - 1)*(g + 25)/4
Let n(b) be the third derivative of -b**5/90 + 5*b**4/4 + 16*b**3 - 228*b**2 - 3. Solve n(d) = 0 for d.
-3, 48
Let f = 1816 + -1816. Let t(w) be the third derivative of 7*w**2 + 1/90*w**5 + 0 + f*w**3 + 1/36*w**4 + 0*w. Find q, given that t(q) = 0.
-1, 0
Let l(d) be the third derivative of -2*d**7/175 + 19*d**6/20 + 147*d**5/50 - 103*d**2 + 5*d. Factor l(s).
-6*s**2*(s - 49)*(2*s + 3)/5
Let i(f) be the third derivative of f**7/280 + f**6/60 - f**5/10 - f**4 + 17*f**3/2 - 59*f**2. Let d(r) be the first derivative of i(r). Solve d(t) = 0.
-2, 2
Let 3*d**2 - 460*d + 37*d + 183*d = 0. What is d?
0, 80
Let c(v) be the first derivative of v**4/14 + 68*v**3/21 + 289*v**2/7 - 234. Factor c(o).
2*o*(o + 17)**2/7
Suppose 5*q - l - 2*l = -209, -4*l + 132 = -3*q. Let j = 42 + q. What is d in -2*d**4 + 20*d**3 + 267*d**j - 295*d**2 - 2*d**4 + 12*d = 0?
0, 1, 3
Suppose -2*l - 5*x + 65 = 3*l, 4*l + 2*x - 62 = 0. Let a be 5 - (-36)/96*(-232)/l. Factor -1/6*d**2 - a - 1/3*d.
-(d + 1)**2/6
Let v(p) be the third derivative of -p**8/16 + 61*p**7/70 - 37*p**6/8 + 43*p**5/4 - 6*p**4 - 18*p**3 - 1893*p**2. Solve v(m) = 0.
-2/7, 1, 2, 3
Determine r, given that -1/6*r**5 - 10/3*r + 5/2*r**3 + 1/3*r**4 + 0 + 2/3*r**2 = 0.
-2, 0, 1, 5
Let u = 281246/38337 - 36/12779. Let f**2 - 4/3 - 11/6*f**4 + u*f - 31/6*f**3 = 0. What is f?
-2, 2/11, 1
Let v(w) be the first derivative of -20*w + 65 - 12*w**2 - 4/3*w**3. Find d, given that v(d) = 0.
-5, -1
Let l(a) be the second derivative of 21*a**5/2 - 4621*a**4/6 + 50864*a**3/3 - 484*a**2 - a - 60. Suppose l(k) = 0. What is k?
1/105, 22
Let n(h) be the first derivative of h**3/9 - 3*h**2/2 + 20*h/3 - 170. Let n(o) = 0. What is o?
4, 5
Let v = -29116 + 29121. Let y(d) be the third derivative of 3/16*d**4 + 0*d - 11/120*d**v + 0 + 1/6*d**3 + 39*d**2. Factor y(n).
-(n - 1)*(11*n + 2)/2
Let n = -1212059/7 + 173162. Factor 0 + 3/7*c**2 - n*c.
3*c*(c - 25)/7
Let n(g) = g**3 - 23*g**2 + 21*g + 25. Let b be n(22). Let c be ((-12 + 9)/(-3))/b. Determine o so that 4/3*o**2 + 0 - 4/3*o - c*o**4 + 1/3*o**3 = 0.
-2, 0, 1, 2
Let p = -1326 + 1326. Factor p + 3/5*w**3 + 9/5*w - 12/5*w**2.
3*w*(w - 3)*(w - 1)/5
Factor 66/13*v + 54/13 + 10/13*v**2 - 2/13*v**3.
-2*(v - 9)*(v + 1)*(v + 3)/13
Let q(a) = a**2 - 28*a - 124. Suppose 79 = -33*o + 35*o - 5*v, o = v + 35. Let u be q(o). Factor -1/2*d**u + 0*d - 1/2*d**2 + 0 - d**3.
-d**2*(d + 1)**2/2
Let g(n) be the third derivative of n**6/120 - 29*n**5/60 - 215*n**4/12 - 200*n**3/3 - 1761*n**2. Factor g(o).
(o - 40)*(o + 1)*(o + 10)
Suppose -3*v + 0 = -2*n + 12, v + 11 = 3*n. Suppose -w + 4 = j, -10 = -2*w + 2*j - 2. Solve -2*l**w + 4*l**2 + 0*l**3 - 41*l - 2*l**n + 41*l = 0 for l.
-2, 0, 1
Suppose -5*a - 1485*l + 1482*l = -86, a = -5*l + 26. Suppose 11*g**3 - a*g**2 + 5*g**4 - 95/2*g + 1/2*g**5 - 25 = 0. What is g?
-5, -1, 2
Suppose -3040*q + 1/2*q**4 + 876*q**2 - 40*q**3 + 2888 = 0. What is q?
2, 38
Let c be (3965/(-1586))/(10/(-348)). Find j such that -27/2 - 39/2*j**4 - 123/2*j**3 - c*j**2 - 9/4*j**5 - 225/4*j = 0.
-3, -1, -2/3
Let i = 2/2030581 - -14504148/2030581. Factor i + 1/7*s**3 + 5/7*s - 8/7*s**2.
(s - 5)**2*(s + 2)/7
Suppose 3*x = -10 + 7, x + 25 = b. Factor -z**4 - 10*z**2 + 40*z**3 + 15*z**3 - 29*z**4 + 5*z**5 + 16 + b - 60*z.
5*(z - 2)**3*(z - 1)*(z + 1)
Suppose 23*d = 25*d - 10. Factor -2*l**5 - 15*l**3 + 5*l**4 + 0*l**5 + 7*l**d - 1293*l**2 + 8*l + 2*l + 1288*l**2.
5*l*(l - 1)**2*(l + 1)*(l + 2)
Suppose -166 - 589 = -151*o. Let x(f) be the third derivative of 0 + 1/150*f**6 + 0*f**4 + 0*f**3 - 35*f**2 - 1/525*f**7 + 0*f - 1/150*f**o. Factor x(m).
-2*m**2*(m - 1)**2/5
