a + 1)**3*(a + 2)
Let g = 73097/7 + -10442. Factor g*v**2 - 24/7*v - 27/7.
3*(v - 9)*(v + 1)/7
Let j(w) be the first derivative of w**6/90 - 13*w**3/3 - 2. Let f(p) be the third derivative of j(p). Factor f(m).
4*m**2
Let h(d) be the first derivative of d**3/3 - 148*d**2 + 21904*d + 24. Suppose h(j) = 0. What is j?
148
Let s(g) be the third derivative of 0*g - 5*g**2 + g**3 + 1/36*g**4 - 1/360*g**5 - 1/1080*g**6 + 0. Let j(b) be the first derivative of s(b). Factor j(h).
-(h - 1)*(h + 2)/3
Let t(k) be the first derivative of 0*k + 7/4*k**3 - 27/16*k**4 + 3/4*k**5 - 1/8*k**6 + 31 - 3/4*k**2. Factor t(n).
-3*n*(n - 2)*(n - 1)**3/4
Suppose 2*s = n + 5, 0 = -s + 2*n + n + 5. Find y such that 4*y**2 + 5*y**2 - 6*y**s + 9 - 12*y = 0.
1, 3
Let a(t) be the second derivative of -4/3*t**3 - 4*t**2 + 2*t - 1/6*t**4 + 0. Find c such that a(c) = 0.
-2
Let y(p) = -p - 3. Let v(x) = -4*x**2 - 3*x + 27. Let k(j) = -v(j) + 3*y(j). Solve k(d) = 0 for d.
-3, 3
Suppose -16/13*q + 2/13*q**5 - 10/13*q**4 + 0 + 12/13*q**3 + 8/13*q**2 = 0. What is q?
-1, 0, 2
Let p = 63 + -129. Let r = 66 + p. Factor -6/7*i**3 + 0 + r*i - 2/7*i**2.
-2*i**2*(3*i + 1)/7
Let z(v) = 2*v**3 - 5*v - v**2 + 0*v**3 + 4*v**3 - 5*v**2. Let j(p) = p**3 - p**2 - p. Let w(q) = -20*j(q) + 4*z(q). Find r such that w(r) = 0.
0, 1
Let y(g) = g**3 - 4*g**2 - 2*g + 11. Let o be y(4). Let j(b) be the second derivative of -9/2*b**2 + 0 - b + 2*b**o - 1/4*b**4. Factor j(d).
-3*(d - 3)*(d - 1)
Let w be (-2 + 5 - 2)*(-9 - 285/(-30)). Factor 0*d**3 + 0 + 0*d**2 - w*d**5 + d**4 + 0*d.
-d**4*(d - 2)/2
Let c(w) be the third derivative of 5*w**8/14 - 11*w**7/42 - 13*w**6/8 + 13*w**5/12 + 25*w**4/8 - 5*w**3/3 - 5*w**2 + 12*w. Find v such that c(v) = 0.
-1, -2/3, 1/8, 1
Factor 3/2*z**2 + 0 - z**3 + 1/8*z**5 - 1/8*z**4 + 0*z.
z**2*(z - 2)**2*(z + 3)/8
Let j(v) be the third derivative of -v**5/120 - 11*v**4/24 + 23*v**3/12 + v**2 - 2*v. Factor j(d).
-(d - 1)*(d + 23)/2
Suppose -151 + 466 = 5*z. Let g = -249/4 + z. Determine d so that -69/4*d**2 - 6*d + 57/4*d**4 + 3 + 21/4*d**5 + g*d**3 = 0.
-2, -1, 2/7, 1
Suppose 64 + 28 = 23*b. Let z(a) be the third derivative of -1/120*a**5 + 0*a + 0*a**3 + 0 - 10*a**2 - 1/480*a**6 - 1/96*a**b. Factor z(m).
-m*(m + 1)**2/4
Let p(x) = -26*x**2 + x + 1. Let v be p(-1). Let g = v + 29. Factor 0*d**4 + d**2 - d**3 + 2*d - 2*d**4 - d**g + d**4.
-d*(d - 1)*(d + 1)*(d + 2)
Let x(v) be the first derivative of 15/4*v**4 + 0*v - 8 - v**5 + 5/2*v**2 - 5*v**3. Find f such that x(f) = 0.
0, 1
Let o(w) be the first derivative of 0*w - 11 - 4/3*w**3 - 8*w**2. Factor o(g).
-4*g*(g + 4)
Let i(u) be the third derivative of -5*u**9/1008 + u**8/84 - u**7/168 - 5*u**3/2 - 5*u**2. Let g(f) be the first derivative of i(f). Factor g(d).
-5*d**3*(d - 1)*(3*d - 1)
Let m(f) be the first derivative of -2*f**5/35 - 2*f**4/7 + 44*f**3/21 + 4*f**2/7 - 6*f - 26. What is z in m(z) = 0?
-7, -1, 1, 3
Let d be 234/360 - (-2)/(-8). What is t in 8/5*t**2 + 4/5*t**5 + 0*t - d - 6/5*t**4 - 4/5*t**3 = 0?
-1, -1/2, 1
Let d be (-13)/((-1456)/(-240)) + 5. Determine h, given that 4/7*h**3 + 24/7 - 8/7*h**2 - d*h = 0.
-2, 1, 3
Let v(o) be the second derivative of -9*o**5/20 - 14*o**4 - 87*o**3/2 - 51*o**2 - 148*o. Factor v(c).
-3*(c + 1)*(c + 17)*(3*c + 2)
Let h be 3*(2 - 3)*-17. Let b(n) = 9*n**3 + 79*n**2 - 401*n + 512. Let j(g) = -g**3 - 10*g**2 + 50*g - 64. Let v(r) = h*j(r) + 6*b(r). Factor v(l).
3*(l - 4)**3
Let v(l) be the second derivative of l**7/21 + l**6/15 - 9*l**5/10 - 3*l**4/2 + 399*l. Factor v(g).
2*g**2*(g - 3)*(g + 1)*(g + 3)
Let t(q) = -5*q - 45. Let g be t(-9). Suppose 5*f - 5*s = 3*f + 19, 3*f - 4*s - 18 = g. Factor -2/7*p**3 + 0 + 2/7*p**f + 0*p.
-2*p**2*(p - 1)/7
Let s(k) be the first derivative of 3/5*k**5 - k + 2 - 6*k**2 - 8*k**3 + 1/4*k**4. Let r(x) be the first derivative of s(x). Suppose r(y) = 0. What is y?
-2, -1/4, 2
Let f be (-3)/18 - 1695/(-18). Factor -3*b**3 - f*b**5 - 90*b**5 + 185*b**5 - 2*b**2.
b**2*(b - 2)*(b + 1)**2
Let o(g) be the second derivative of g**4/30 - 7*g**3/15 + 12*g**2/5 - 85*g. Factor o(u).
2*(u - 4)*(u - 3)/5
Suppose -3*p = -5*u + 186, -5*p = -4*u + 128 + 26. Factor 20*a**2 + a + 15*a**2 - u*a**2.
-a*(a - 1)
Let u(r) be the first derivative of -r**4 - 4*r**3 + 20*r**2 - 412. Suppose u(m) = 0. What is m?
-5, 0, 2
Suppose 0 = 3*b - 2*b + 5*p + 2, 18 = b - 5*p. Suppose b*d - 58 = -34. Find f, given that 0*f**2 + 1/5*f + 0 - 1/5*f**d = 0.
-1, 0, 1
Let y(r) be the second derivative of 2/27*r**4 - 4/135*r**6 + 1/189*r**7 + 0 + 1/30*r**5 + 0*r**2 + 41*r - 4/27*r**3. Suppose y(a) = 0. What is a?
-1, 0, 1, 2
Let h(m) be the second derivative of 0 + 0*m**4 - 3/20*m**5 + 3*m**2 + 3/2*m**3 - 6*m. Let h(v) = 0. Calculate v.
-1, 2
Let t be ((-2)/30)/((-5841)/(-295) + -20). Determine u, given that 2/3*u + 1/3*u**2 + t = 0.
-1
Let j(n) be the third derivative of 0 + 0*n**3 - 1/2*n**4 + 0*n + 3*n**2 - 1/20*n**5. Factor j(z).
-3*z*(z + 4)
Let q = -174 + 32. Let b = q + 712/5. Factor 2/5*h**3 + b*h + 0 - 4/5*h**2.
2*h*(h - 1)**2/5
Let f(g) = -4*g**3 + 4*g**2. Suppose -8 = -5*j + 2. Let x(l) = 4*l**3 - 4*l**2. Let w(a) = j*x(a) + 3*f(a). Suppose w(q) = 0. Calculate q.
0, 1
Let u(q) = q**2 - 16*q + 13. Let w be u(-7). Let r = w - 170. Solve 2/15*b**5 - 8/15 - 14/15*b**r + 38/15*b**3 + 32/15*b - 10/3*b**2 = 0.
1, 2
Let t(x) = x**2 + 6*x + 5. Let v be t(-4). Let h be (v + 5)/(2/4). Suppose 4*q - q**h - 2*q**3 + 3*q**4 - 2*q**2 - 2*q = 0. What is q?
-1, 0, 1
Let g(k) = -14*k**3 - 29*k**2 - 9*k + 6. Let j(r) = -5*r**3 - 10*r**2 - 3*r + 2. Let q be ((-3)/3)/1 - (-4 + -1). Let o(x) = q*g(x) - 14*j(x). Factor o(v).
2*(v + 1)**2*(7*v - 2)
Factor 1/2*f - 1/8*f**3 + 3/2 - 3/8*f**2.
-(f - 2)*(f + 2)*(f + 3)/8
Let x(i) be the third derivative of 0*i - 203/240*i**6 + 7*i**2 - 13/4*i**4 + 63/40*i**7 + 0 + 49/192*i**8 - 229/60*i**5 - 4/3*i**3. What is b in x(b) = 0?
-4, -2/7, 1
What is l in -27/2*l**2 + 0 - 1/2*l**4 + 0*l + 6*l**3 = 0?
0, 3, 9
Let z be 214/(-535) + (-4)/(-10). Let q(r) be the first derivative of -4/3*r**2 + z*r**4 + 4/15*r**5 - 1 + 0*r - 4/3*r**3. Factor q(m).
4*m*(m - 2)*(m + 1)**2/3
Suppose -13*y - 3*h = -9*y - 9, -y + 26 = -4*h. Let l be 1 + 2/(y/(-3)). Factor l*c - 2/17*c**2 + 2/17.
-2*(c - 1)*(c + 1)/17
Let k = 1/479 + 9096/2395. Let y(q) be the first derivative of 15/4*q**4 - q**2 - 3 + 0*q + k*q**5 + 1/3*q**3 + 7/6*q**6. Find s, given that y(s) = 0.
-1, 0, 2/7
Suppose -16*s = -25*s + 54. What is n in -9*n**2 + s*n - 7*n + 12*n**2 - 12 - 8*n = 0?
-1, 4
Let q = 259 - 169. Let y be (-20)/q + 116/18. Solve 8/9*d - y*d**2 + 98/9*d**3 + 0 = 0.
0, 2/7
Suppose 2*b = 0, 5*k - 30 = -12*b + 14*b. Let f be 1/k + 9/27. Factor f*c + 1/2*c**2 + 0 - 1/2*c**4 - 1/2*c**3.
-c*(c - 1)*(c + 1)**2/2
Let o(z) = 3*z**4 + z**3 - 28*z**2 - 25*z. Let i(f) = -f**4 + f**3 - f. Let j(s) = -i(s) + o(s). Factor j(g).
4*g*(g - 3)*(g + 1)*(g + 2)
Suppose -11*l**3 - 3*l**4 + 0*l**3 - 74*l**2 - 20*l**3 - 2*l**3 + 150 - 25*l**2 - 15*l = 0. What is l?
-5, -2, 1
Let n(o) be the first derivative of o**6/57 + 12*o**5/95 + o**4/38 - 16*o**3/19 - 20*o**2/19 + 243. Determine c, given that n(c) = 0.
-5, -2, -1, 0, 2
Determine f, given that 1/5*f**2 - 13/5 + 12/5*f = 0.
-13, 1
Suppose -3*v + 22*v + 19 = 0. Let x(y) = y + 3. Let c be x(v). Find i, given that 0 + 1/7*i**c + 2/7*i = 0.
-2, 0
Let i be ((-12)/14)/(-75*34/4760). Factor 2 - 2/5*k**2 - i*k.
-2*(k - 1)*(k + 5)/5
Let y be ((-2)/7)/((-5)/245*1). Let w be ((-1)/(-2))/((y/(-39))/(-14)). Determine i so that w*i**4 - 6*i - 3/2*i**3 + 15/2*i**5 - 51/2*i**2 + 6 = 0.
-2, -1, 2/5, 1
Factor 16*y**2 + 32/3*y + 0 + 2/3*y**4 + 6*y**3.
2*y*(y + 1)*(y + 4)**2/3
Let k(s) be the first derivative of s**5/30 + s**4/18 - 2*s**3/9 + 10*s + 14. Let c(p) be the first derivative of k(p). Factor c(g).
2*g*(g - 1)*(g + 2)/3
Let t(f) = -f - 20. Let l be t(-10). Let r = l + 12. Determine s so that r*s - 8/7*s**2 + 4/7 = 0.
-1/4, 2
Let m(b) be the first derivative of -b**4/3 - 4*b**3/3 + 16*b/3 - 140. Suppose m(q) = 0. What is q?
-2, 1
Let t(h) = 4*h**2 + 6*h - 6. Let g = -24 - -41. Suppose 4*s + 7 = -g. Let n(w) = -3*w**2 - 6*w + 5. Let v(r) = s*n(r) - 5*t(r). Let v(m) = 0. What is m?
0, 3
Let g(a) = a. Let i(k) = 2*k**2 - 135*k + 2178. Let z(b) = -6*g(b) - 2*i(b). Factor z(u).
-4*(u - 33)**2
