o). Factor t(v).
4*v*(v + 8)
Let t(h) = h**2 - h - 4. Let q be t(-2). Let i(v) be the first derivative of -q*v**3 - 4 - 3/2*v**2 - 3/4*v**4 + 0*v. Let i(r) = 0. Calculate r.
-1, 0
Let t(b) be the first derivative of b**3/3 - 9*b**2/2 - 36*b + 7. Let x be t(12). Factor -6/7*s**3 + 0*s + 0 + 2/7*s**5 + x*s**4 + 4/7*s**2.
2*s**2*(s - 1)**2*(s + 2)/7
Let z be (25/(-15) + 0)*-3. Suppose -8*d**2 - z + 5 + 10*d**2 + 14*d = 0. What is d?
-7, 0
Let m be (4/16)/((-46)/32). Let f = 31/46 + m. Find a, given that f*a**2 - 1/2*a + 0 = 0.
0, 1
Let q = 5/593 - -1101/10081. Let -8/17 - 6/17*j**3 + 16/17*j - q*j**2 = 0. What is j?
-2, 2/3, 1
Let a(q) = -q**4 + 7*q**3 + 17*q**2 + 6*q + 3. Let z(k) = 2*k**4 - 6*k**3 - 18*k**2 - 6*k - 4. Let y(r) = -4*a(r) - 3*z(r). Factor y(l).
-2*l*(l + 1)**2*(l + 3)
Let u(g) be the third derivative of -g**10/226800 - g**9/18144 - g**8/5040 - 7*g**5/15 + 15*g**2. Let n(z) be the third derivative of u(z). Solve n(o) = 0.
-3, -2, 0
Let q(k) be the first derivative of -k**3 - 720*k**2 - 172800*k - 661. Solve q(z) = 0.
-240
Let o(m) be the third derivative of -m**6/240 - 7*m**5/480 - m**4/96 + 19*m**3/6 + 9*m**2. Let y(g) be the first derivative of o(g). Factor y(k).
-(k + 1)*(6*k + 1)/4
Let s(y) = -54*y**2 - 178*y + 104. Let a(i) = -2*i**2 - 5*i. Let c(o) = -52*a(o) + 2*s(o). Let c(t) = 0. Calculate t.
-26, 2
Let y(w) = 4*w + 22. Let l be y(-5). Solve -u**2 - 277*u - 3*u**2 + 257*u - 6 - l*u**2 = 0 for u.
-3, -1/3
Let o be 12 + -1 + (-1 - (1 - 5)). Factor -10 - 19*l - o*l**2 + 2 - 13*l.
-2*(l + 2)*(7*l + 2)
Let i(y) be the third derivative of -13*y**5/300 + 3*y**4/10 + 3*y**3/10 + y**2 + 30*y. Factor i(v).
-(v - 3)*(13*v + 3)/5
Factor -5/2*l**2 - 10*l**3 + 0 - 5/2*l**4 + 15*l.
-5*l*(l - 1)*(l + 2)*(l + 3)/2
Suppose c + 63 = 4*c. Let i = c + -17. Factor -i*o**3 + 28*o - 16*o**2 - 40*o + 4*o**2 - 4.
-4*(o + 1)**3
Suppose 0 = -8*y - 2*y + 110. Factor -v - 10 - 3*v**2 + 2*v + y*v - 2.
-3*(v - 2)**2
Factor 0 - 2/7*o**2 + 6*o.
-2*o*(o - 21)/7
Let p = 158/49 - 74/49. Factor p + 4/7*n**2 - 16/7*n.
4*(n - 3)*(n - 1)/7
Let t = -25655 - -179587/7. Factor 0 - t*l**4 - 10/7*l**2 - 8/7*l**3 - 4/7*l.
-2*l*(l + 1)**2*(l + 2)/7
Suppose 2*w + 12 = 4*r, 3*w = -4*r - 2*w - 2. Factor 25 + u**r + 0*u**2 + 5*u - 3*u + 8*u.
(u + 5)**2
Suppose -9000 + 900*o - 30*o**2 + 1/3*o**3 = 0. Calculate o.
30
Factor u - 3 + 1/4*u**2.
(u - 2)*(u + 6)/4
Let c(q) = q**5 - q**4 - q**3. Let h(m) = -7*m**5 + 12*m**4 - 7*m**3 + 12*m**2 - 4*m. Let r(g) = 6*c(g) + h(g). Factor r(b).
-b*(b - 2)**2*(b - 1)**2
Determine f, given that 35/2 - 37/4*f + 1/4*f**2 = 0.
2, 35
Let n = -434 - -436. Let c(z) be the third derivative of 0*z**3 - 1/270*z**6 + 0*z - n*z**2 + 0 + 1/270*z**5 + 1/108*z**4. Suppose c(r) = 0. What is r?
-1/2, 0, 1
Let u(v) be the second derivative of -v**4/4 + 5*v**3 - 75*v**2/2 - 31*v. Suppose u(z) = 0. What is z?
5
Let c(p) be the first derivative of -4*p**5/35 - 2*p**4/7 + 20*p**3/21 + 12*p**2/7 + 368. Solve c(s) = 0.
-3, -1, 0, 2
Suppose -2/7*g**5 + 12/7 + 2/7*g + 0*g**3 + 8/7*g**4 - 20/7*g**2 = 0. Calculate g.
-1, 1, 2, 3
Let j(i) be the first derivative of i**4/4 - 13*i**3/3 - 48. What is p in j(p) = 0?
0, 13
Let u(c) be the third derivative of -c**8/840 + 8*c**7/525 + 23*c**6/300 - 67*c**5/75 - 119*c**4/15 - 392*c**3/15 + 119*c**2. Factor u(g).
-2*(g - 7)**2*(g + 2)**3/5
Let w = -16 - -10. Let r = 21 + w. Let -6 + 27*g**4 + 5*g - 12*g**3 - r*g**3 + 22*g - 21*g**2 = 0. Calculate g.
-1, 1/3, 2/3, 1
Let u(v) be the first derivative of -v**7/224 - v**6/240 - v**3 - 9. Let a(q) be the third derivative of u(q). Factor a(d).
-3*d**2*(5*d + 2)/4
Let b be ((-50)/20)/(-1 - -2)*-2. Suppose -b = -3*j - a, -4*j + 7*j - 5*a = 11. Factor 0 + 3/2*u**3 - 3/2*u**5 - 3/2*u**j + 0*u + 3/2*u**4.
-3*u**2*(u - 1)**2*(u + 1)/2
Let n be ((-6)/12*2)/(2/(-4)). Let p(j) be the first derivative of -4/3*j + n - 10/3*j**2 - 16/9*j**3. Find u, given that p(u) = 0.
-1, -1/4
Let c(r) be the first derivative of r**8/80 - r**7/56 - r**6/60 + 16*r**3/3 - 39. Let s(w) be the third derivative of c(w). Factor s(k).
3*k**2*(k - 1)*(7*k + 2)
Suppose -12/5*t**3 + 1/5*t**5 + 0 - 6/5*t**4 + 38/5*t**2 - 21/5*t = 0. Calculate t.
-3, 0, 1, 7
Let h be (2/6)/(5/60). Determine l, given that -4*l**2 - 6 + 8*l + 2 + 2*l**2 - h = 0.
2
Let c(d) be the second derivative of 6/7*d**2 + 0*d**3 + 0 - 3/28*d**4 + 26*d - 3/140*d**5. Factor c(q).
-3*(q - 1)*(q + 2)**2/7
Suppose -4*s = -5*n - 9*s - 265, 5*s + 213 = -4*n. Let x = -50 - n. Factor 5/2*j + x*j**2 + 1/2.
(j + 1)*(4*j + 1)/2
Let d(l) be the first derivative of l**3/3 + l - 39. Let a(o) = 3 - 3*o**3 + o**3 - 6*o - 6*o**2 - o**3. Let s(y) = a(y) - 3*d(y). Find j, given that s(j) = 0.
-2, -1, 0
Let q(w) be the third derivative of w**7/1575 + 19*w**6/900 - 11*w**5/75 + w**4/45 + 88*w**3/45 - 249*w**2. Solve q(c) = 0 for c.
-22, -1, 2
Let f(h) be the second derivative of -h**4/24 + 204*h. Factor f(v).
-v**2/2
Let c(j) be the second derivative of 0*j**5 + 0*j**3 + 0*j**2 - 43*j + 1/12*j**4 - 1/30*j**6 + 0. Factor c(g).
-g**2*(g - 1)*(g + 1)
Let b be (123/(-12))/((-1)/8*-2). Let u = -41 - b. Determine j so that 3/5*j**2 - 1/5*j**4 + 2/5*j + 0 + u*j**3 = 0.
-1, 0, 2
Let y(x) be the second derivative of -1/3*x**3 + 0 + x**2 - 1/6*x**4 + 22*x + 1/10*x**5. Suppose y(r) = 0. What is r?
-1, 1
Let t(v) = 3*v + 14. Let u = 68 - 72. Let i be t(u). Let -2*y + 4/5 - 18/5*y**2 + i*y**3 + 14/5*y**4 = 0. What is y?
-1, 2/7, 1
Let d(o) = -9*o**3 + 23*o - 34. Let w(q) = -8*q**3 + 24*q - 32. Let k(s) = -4*d(s) + 5*w(s). Factor k(j).
-4*(j - 2)*(j - 1)*(j + 3)
Let k(j) = -3*j**3 - j**2 - j + 1. Let v = -21 - -53. Let u(z) = -z + 32 - z**3 - v. Let i(y) = -2*k(y) + 4*u(y). Determine a, given that i(a) = 0.
-1, 1
Let j(r) = -r**3 + 11*r**2 + r - 8. Let z be j(11). Let s(l) = l - 2. Let n be s(5). Find q, given that 2*q**2 + 5 + 4*q - n + 3 - z = 0.
-1
Let k(q) be the first derivative of -5*q**4/4 - 40*q**3/3 + 5*q**2/2 + 40*q + 70. Factor k(s).
-5*(s - 1)*(s + 1)*(s + 8)
Let g(w) = 5*w**3 + 26*w**2 - 11*w - 20. Let o(d) = -d**3 - 5*d**2 + 2*d + 4. Let c(q) = -2*g(q) - 11*o(q). Factor c(a).
(a - 1)*(a + 2)**2
Let f = -117 + 119. Factor 0 + 284*m + f*m**2 + 8*m**3 - 2*m**5 - 4 - 290*m + 2*m**2.
-2*(m - 2)*(m - 1)*(m + 1)**3
Suppose -28*g - 25*g + 106 = 0. Factor -5/2*d**g + 5/4 + 5/4*d**4 + 0*d + 0*d**3.
5*(d - 1)**2*(d + 1)**2/4
Let z(s) be the first derivative of -1/8*s**2 + 2 + 1/2*s - 1/12*s**3. Factor z(f).
-(f - 1)*(f + 2)/4
Let y(o) be the second derivative of 0*o**5 + 0*o**2 + 0 + 0*o**3 - 1/10*o**6 + 0*o**4 - 13*o. Determine u so that y(u) = 0.
0
Let u(m) be the first derivative of -m**5/5 + 5*m**4/4 - 7*m**3/3 + 3*m**2/2 - 44. Factor u(p).
-p*(p - 3)*(p - 1)**2
Let h(y) be the third derivative of 10*y**2 + 2/3*y**4 + 0*y + 0 + 1/60*y**5 + 32/3*y**3. Let h(f) = 0. Calculate f.
-8
Let o(b) be the first derivative of -11 + 3/2*b**4 - 4/3*b**3 + 0*b + 0*b**5 - 1/3*b**6 + 0*b**2. Let o(w) = 0. What is w?
-2, 0, 1
Let s(u) be the second derivative of 14*u - 1/6*u**4 + 0 - 2*u**3 + 9/2*u**2 + 1/30*u**6 + 1/5*u**5. Determine l, given that s(l) = 0.
-3, 1
Let j be ((-2)/(-1) - (-160)/(-64))/(-5). Factor -3/10 - j*l**2 + 2/5*l.
-(l - 3)*(l - 1)/10
Let u(i) = i**3 + 17*i**2 - 19*i - 18. Let y be -20 - -3*1/3*2. Let m be u(y). Factor -2/3*r**2 + 0*r + m.
-2*r**2/3
Let d(f) be the first derivative of -f**5/4 - f**4/4 + 15*f**2/2 + 18. Let w(c) be the second derivative of d(c). Suppose w(t) = 0. What is t?
-2/5, 0
Suppose -3*z + n + 23 = 0, -2*z + 24 = 4*n - 10. Let o(a) = -a**2 + 10*a - 4. Let v be o(z). Factor 3*h + 7*h**2 + 4*h**2 - v*h**2 + 3*h**3.
3*h*(h + 1)**2
Let d(p) be the third derivative of -p**6/210 + p**5/21 + 2*p**4/21 - 40*p**3/21 - 244*p**2. Factor d(a).
-4*(a - 5)*(a - 2)*(a + 2)/7
Let r(g) be the first derivative of -g**6/9 - 44*g**5/15 - 47*g**4/2 - 440*g**3/9 - 100*g**2/3 - 43. What is t in r(t) = 0?
-10, -1, 0
Let a(k) be the second derivative of -1/18*k**4 + 1/3*k**2 + 0 + 0*k**3 - 4*k. Factor a(h).
-2*(h - 1)*(h + 1)/3
Let l = -9935 + 9937. What is s in 7*s**5 - l - 17/3*s + 104/3*s**4 + 46/3*s**2 + 140/3*s**3 = 0?
-3, -1, -2/7, 1/3
Suppose 2*x = 2 + 8, -3*j = -4*x + 5. Let l be 2*-1 - 1*-4. Factor -j*d**2 + 12*d - d**2 + 16 + l*d**2.
-4*(d - 4)*(d + 1)
Let m(g) 