3 - 3*v. Factor o(r).
-2*r*(r + 5)
Factor 1/5*g**2 + 2/5 - 3/5*g.
(g - 2)*(g - 1)/5
Let w = 35 + -35. Let k(j) be the second derivative of 0*j**3 - j - 1/70*j**7 + 0*j**2 + 1/100*j**5 + 2/75*j**6 + w - 1/30*j**4. Let k(x) = 0. What is x?
-2/3, 0, 1
Let q be 2/(-2)*(1 - 1). Suppose -f + 10 - 8 = q. Let 8/9*k - 2/9*k**f - 8/9 = 0. Calculate k.
2
Suppose -4*y = -3*y. Suppose y = 3*x - 5*x + 8. What is t in -3*t**2 + 6*t + t**2 + t**2 - x - t**2 = 0?
1, 2
Let r(w) be the third derivative of w**10/252000 - w**9/50400 + w**8/33600 + 7*w**5/60 - w**2. Let p(i) be the third derivative of r(i). Factor p(f).
3*f**2*(f - 1)**2/5
Let q(p) be the second derivative of p**7/105 - 3*p**5/50 - p**4/15 - 4*p. Determine t so that q(t) = 0.
-1, 0, 2
Let w(d) be the first derivative of 2*d**6 + d**5 - d**4/2 + 2. Determine v, given that w(v) = 0.
-2/3, 0, 1/4
Let m(p) = 2*p**2 - 4*p + 2. Let f be m(2). Suppose -3*c = f*c - 15. Factor 1/3*u**c + 1/3*u**2 - 1/3*u - 1/3.
(u - 1)*(u + 1)**2/3
Let n(y) be the first derivative of 1 + 0*y**2 + y - 1/3*y**3. Factor n(q).
-(q - 1)*(q + 1)
Factor 9/4 + 9/2*t**3 + 15/2*t + 9*t**2 + 3/4*t**4.
3*(t + 1)**3*(t + 3)/4
Let v be (27/(-15))/(4/(-12)). Let k(g) be the first derivative of -18/5*g**2 - 4/5*g - 2 - v*g**3. Suppose k(n) = 0. What is n?
-2/9
Let y = -2 + 4. Factor b + 0*b + 0 + b**2 - 2*b**y + 2.
-(b - 2)*(b + 1)
Let a(l) = l - 3. Let u be a(5). Let d(q) be the third derivative of -1/90*q**6 + u*q**2 + 0*q**3 - 1/315*q**7 - 1/90*q**5 + 0*q + 0 + 0*q**4. Factor d(w).
-2*w**2*(w + 1)**2/3
Let s(v) = v**3 + 2*v**2 - 5*v + 2. Let w be s(0). Factor 0 - 2/5*l**w - 4/5*l.
-2*l*(l + 2)/5
Let n(a) = -a - 1. Let b be n(-5). Suppose 0 = -0*k - 5*k + 10. Solve k*p - 2*p**2 - b*p**2 - 4*p + 3*p**2 = 0 for p.
-2/3, 0
Let r(f) = 6*f**4 + 3*f**3 - 3*f**2 + 9. Let x(o) = -3*o**4 - 2*o**3 + o**2 - 4. Let u(i) = 4*r(i) + 9*x(i). Factor u(y).
-3*y**2*(y + 1)**2
Let p = -8 - -361/45. Let y(z) be the second derivative of 2*z - 1/30*z**5 - 1/18*z**4 + p*z**6 + 0 + 1/9*z**3 + 0*z**2. Factor y(a).
2*a*(a - 1)**2*(a + 1)/3
Let o be ((-2)/6 - -1)*3. Suppose -o*g = -1 - 3. Factor -1/5*t + 2/5 - 1/5*t**g.
-(t - 1)*(t + 2)/5
Let i(d) be the third derivative of d**5/18 - d**4/6 + d**3/9 - 17*d**2. Factor i(s).
2*(s - 1)*(5*s - 1)/3
Let x(r) be the first derivative of 3*r**5/5 - 3*r**4 - 2*r**3 + 18*r**2 + 27*r + 8. Factor x(w).
3*(w - 3)**2*(w + 1)**2
Let p be (-658)/30 - 6/(-10). Let s = p + 22. Factor 2/3*g**3 - 2/3*g - s + 2/3*g**2.
2*(g - 1)*(g + 1)**2/3
Let w(q) be the first derivative of -2/65*q**5 + 0*q**4 + 0*q**2 + 5 + 2/39*q**3 + 0*q. Factor w(f).
-2*f**2*(f - 1)*(f + 1)/13
Let a(v) be the second derivative of -v**6/1080 - v**5/60 - v**4/8 + v**3 - 2*v. Let h(c) be the second derivative of a(c). What is j in h(j) = 0?
-3
Let d be (1 + 1)/(-1 + 2). Factor -v**4 + v - 6*v**3 - 3*v - 6*v**d - v**4.
-2*v*(v + 1)**3
Let g(r) be the second derivative of 1/2*r**2 - 4*r + 0 + 5/12*r**3 - 7/24*r**4. Factor g(i).
-(i - 1)*(7*i + 2)/2
Let f(k) be the first derivative of 4*k**5/5 - 2*k**4 - 4*k**3 + 8*k**2 + 16*k + 10. Factor f(d).
4*(d - 2)**2*(d + 1)**2
Let y = 372 - 3711/10. Let v = y - 1/2. Factor -v*n**3 + 2/5*n**2 + 0*n + 2/5*n**5 + 0 - 2/5*n**4.
2*n**2*(n - 1)**2*(n + 1)/5
Factor 2/7*w**5 + 8*w - 16/7*w**4 - 76/7*w**2 - 16/7 + 50/7*w**3.
2*(w - 2)**3*(w - 1)**2/7
Let w(y) = -6*y**4 + 12*y**3 - 15*y**2 + 6*y. Let l(h) = 7*h**4 - 12*h**3 + 15*h**2 - 6*h. Suppose 1 = -2*d - 5. Let b(t) = d*l(t) - 4*w(t). Factor b(s).
3*s*(s - 2)*(s - 1)**2
Let v(z) = -2*z**2 - 9*z - 2. Let w(k) = -2*k + 3. Let l be w(2). Let s(i) = i**2. Let o(d) = l*v(d) + 5*s(d). Let o(g) = 0. Calculate g.
-1, -2/7
Suppose 6*t = 8*t - 4. Factor -32/7 - 2/7*x**t + 16/7*x.
-2*(x - 4)**2/7
Suppose 3*f = -4*l - 6, 0 = 5*l + 3*f + f + 8. What is x in l - 7*x**2 - 2*x + 1 + 0*x - 4*x**3 = 0?
-1, 1/4
Let t be -3*(-4)/(-12) - -4. Let a(c) be the first derivative of -2/15*c**5 + 1/2*c**4 + 1/3*c**2 - 2/3*c**t + 0*c + 1. Determine j so that a(j) = 0.
0, 1
Factor 2/13 - 4/13*h + 2/13*h**2.
2*(h - 1)**2/13
Let o(f) be the first derivative of f**4/18 + f**3/9 + f - 3. Let u(g) be the first derivative of o(g). Determine r, given that u(r) = 0.
-1, 0
Let t(y) be the second derivative of 0*y**2 + 0 - 3*y - 1/20*y**5 - 1/6*y**3 + 1/6*y**4. Suppose t(n) = 0. What is n?
0, 1
Let d = 8 + -5. Suppose 2*o = -5*s + 6, 0 = d*s - 2*o + 8 - 2. Let 1/4*i + s - 1/4*i**2 = 0. Calculate i.
0, 1
Let u(a) be the second derivative of -3*a**4/8 - 5*a**3/4 + 3*a**2/2 - 11*a. Determine q so that u(q) = 0.
-2, 1/3
Let l(a) be the third derivative of -a**8/504 + a**6/60 - a**5/45 + 35*a**2. Determine c so that l(c) = 0.
-2, 0, 1
Let s be (-1)/(-2)*(-25)/(-10). Let y = -17 - -19. Factor 1/2*j + 0 + 3*j**3 + 9/4*j**y + s*j**4.
j*(j + 1)**2*(5*j + 2)/4
Let s(d) be the second derivative of d**4/12 - d**3 - 3*d**2/2 + 5*d. Let i be 1/(2/(-1 + -1)). Let n(f) = -f - 1. Let a(y) = i*s(y) + 4*n(y). Factor a(r).
-(r - 1)**2
Let z(w) be the second derivative of 2*w - 1/30*w**4 - 2/15*w**3 - 1/5*w**2 + 0. Factor z(r).
-2*(r + 1)**2/5
Let a = 16/17 + 20/51. Determine s so that -10/3*s + 8/3*s**2 + a - 2/3*s**3 = 0.
1, 2
Let w(c) = 3*c**3 + c**2 - 4*c + 4. Let y(i) = 7*i**3 + 3*i**2 - 8*i + 8. Let z(h) = 5*w(h) - 2*y(h). Factor z(m).
(m - 2)*(m - 1)*(m + 2)
Factor 5*f**2 - 11*f**2 + 2*f**4 - 2*f**5 + 4*f**2 + 2*f**3.
-2*f**2*(f - 1)**2*(f + 1)
Determine x, given that -4*x - 4*x**5 + 2*x**2 + 2362 + 12*x**3 - 2362 + 2*x**4 = 0.
-1, 0, 1/2, 2
Suppose -18 + 2 = -8*s. Factor -8/7*a - 2/7*a**s - 8/7.
-2*(a + 2)**2/7
Suppose i = 2*n + 5*i + 10, -5*i - 17 = -2*n. Let a(v) = 6*v - 1. Let r be a(n). Factor 4*b - 2*b**3 + 3*b - r*b.
-2*b*(b - 1)*(b + 1)
Let m(g) be the third derivative of g**6/90 + g**5/60 - g**3/3 - 8*g**2. Let o(r) be the first derivative of m(r). Factor o(v).
2*v*(2*v + 1)
Let h be -35 - -43 - (0 + 8). Factor 2/7*s**2 + h*s - 2/7.
2*(s - 1)*(s + 1)/7
Let t be 1 - 35/(-14)*(-8)/(-5). Let l(k) be the first derivative of 0*k**4 + 0*k**2 + 4 - k - 1/5*k**t + 2/3*k**3. Factor l(o).
-(o - 1)**2*(o + 1)**2
Let y(f) be the third derivative of 0 + 1/48*f**8 + 3*f**2 + 1/12*f**3 + 1/30*f**5 + 11/96*f**4 - 29/480*f**6 + 0*f - 1/42*f**7. Let y(l) = 0. What is l?
-1/2, -2/7, 1
Let d be 2 - ((-6)/(-4) - 0) - 0. Let t = -6 - -8. Factor -j + d - 1/2*j**4 + j**3 + 0*j**t.
-(j - 1)**3*(j + 1)/2
Let v(u) be the second derivative of -u**6/120 + u**5/80 + 2*u. Let v(j) = 0. What is j?
0, 1
Factor 313 + 2*n**5 - 313 - 6*n**4 + 4*n**3.
2*n**3*(n - 2)*(n - 1)
Let u(s) be the second derivative of -s**3 + 3*s + 0 - s**2 - 1/10*s**5 - 1/2*s**4. Suppose u(v) = 0. Calculate v.
-1
Suppose 0 = 2*f + 112 + 308. Let g be (f/56)/(3*-1). Factor -5/2*h**2 - 1/4*h**5 - g*h - 5/2*h**3 - 5/4*h**4 - 1/4.
-(h + 1)**5/4
Factor -8/15*o + 2/3*o**2 - 2/15*o**3 + 0.
-2*o*(o - 4)*(o - 1)/15
Let a = -11095/9 - -1233. Find m, given that -2/9*m**3 + 8/9*m**4 + 8/9*m + 16/9 - 20/9*m**2 - a*m**5 = 0.
-1, 2
Let t = 7 - 2. Factor 18*o - 14 - 13 - t*o**2 + 2*o**2.
-3*(o - 3)**2
Let b(m) = -265*m**5 + 120*m**4 + 695*m**3 + 70*m**2 - 200*m + 20. Let g(a) = -a**5 - a**4 - a**3 + a - 1. Let k(o) = b(o) - 20*g(o). What is p in k(p) = 0?
-1, 2/7, 2
Let g(w) be the first derivative of -w**3/2 + 45*w**2/2 - 675*w/2 - 27. Factor g(a).
-3*(a - 15)**2/2
Let a(b) be the second derivative of -b**6/180 - b**5/90 - 3*b**2/2 + 4*b. Let d(t) be the first derivative of a(t). Factor d(g).
-2*g**2*(g + 1)/3
Let q be -66*2*3/(-12). Let z be -2*q/(-18) - 3. Suppose 0 - 4*w**3 + 8/3*w**4 - z*w + 8/3*w**2 - 2/3*w**5 = 0. What is w?
0, 1
Let j = 5 + -5. Suppose 0*c - 5*c + 25 = j. Solve -36/7*h**3 - 2/7*h + 2*h**2 + 0 + 40/7*h**4 - 16/7*h**c = 0.
0, 1/2, 1
Factor -2/3*f**2 - f**4 + 5/3*f**3 + 0 + 0*f.
-f**2*(f - 1)*(3*f - 2)/3
Let y = -9 + 12. Let s(a) be the second derivative of -1/5*a**5 - a + 1/5*a**6 + 0*a**y + 0*a**4 + 0 + 0*a**2. Let s(v) = 0. Calculate v.
0, 2/3
Suppose r = 2*r - 3. Factor j**3 - 14*j**2 - j**3 + 4*j + 5*j**3 + 5*j**r.
2*j*(j - 1)*(5*j - 2)
Let k(v) be the first derivative of v**4/4 + 4*v**3/3 + 5*v**2/2 + 2*v - 24. Factor k(j).
(j + 1)**2*(j + 2)
Let x = -242 - -1937/8. Factor x*n**2 - 1/4*n + 0.
n*(n - 2)/8
Let l be (-40)/18*(4 - 2). Let z = l + 169/36. Find g such that