0. What is v?
-1
Let g(n) be the third derivative of n**6/720 + 7*n**5/120 + 49*n**4/48 + 343*n**3/36 + 22*n**2. Factor g(p).
(p + 7)**3/6
Let r be 15/(-9) - (-4 - -2). Let v be (-2 - -2)*(-4)/(-12). Factor v + r*g + 1/3*g**2.
g*(g + 1)/3
Let c = -233 - -707/3. Factor -8/3*v**2 - c*v**4 - 2/3*v - 2/3*v**5 + 0 - 4*v**3.
-2*v*(v + 1)**4/3
Let i(m) = m + 12. Let b be i(0). Suppose -5*g = -b - 18. Find u such that 1 - 3*u**3 + g*u**3 - u**2 - u - 2*u**3 = 0.
-1, 1
Let r = 175 - 521/3. Factor -4/3*l - 1/3*l**4 - l**2 + r*l**3 + 4/3.
-(l - 2)**2*(l - 1)*(l + 1)/3
Determine r so that -2/5*r**2 + 0 - 6/5*r = 0.
-3, 0
Let s(r) be the first derivative of -r**4/8 + r**3/2 - 3*r**2/4 + r/2 - 27. Solve s(x) = 0 for x.
1
Let 9/7*m**2 + 0 - 3/7*m**3 - 6/7*m = 0. Calculate m.
0, 1, 2
Let f(q) = 10*q + 280. Let t be f(-28). Suppose 0 + 2/7*k**3 - 2/7*k**4 + t*k + 0*k**2 = 0. Calculate k.
0, 1
Let r(d) = d**3 + 11*d**2 + 7*d + 1. Let n(q) = 9*q**3 + 111*q**2 + 69*q + 9. Let s be (1 - 22)*(-16 + 17). Let g(p) = s*r(p) + 2*n(p). Factor g(u).
-3*(u + 1)**3
Let x(p) = -p**3 + 7*p**2 + 8*p + 2. Let z be x(8). Factor 4/3*s**3 + 4/3*s - 1/3 - z*s**2 - 1/3*s**4.
-(s - 1)**4/3
Let b(p) be the first derivative of p**6/6 + p**5/5 - p**4/4 - p**3/3 - 10. Find l such that b(l) = 0.
-1, 0, 1
Suppose -6 = 4*f - 2*z, 3*f + 3*z + 1 = -8. Let d be (-2)/5*(0 + f). Factor 0 - 4/5*l**2 + 2/5*l**5 - 2/5*l + d*l**4 + 0*l**3.
2*l*(l - 1)*(l + 1)**3/5
Suppose -3*s + g = -g - 17, 0 = -5*s + 3*g + 27. What is x in -4/9*x**2 + 2/3*x**s - 2/3*x + 4/9 = 0?
-1, 2/3, 1
Let y(d) be the first derivative of d**4/18 - 44*d**3/27 + 121*d**2/9 - 8. Suppose y(v) = 0. What is v?
0, 11
Let x(h) be the second derivative of -3*h - 1/20*h**5 + 0 + 1/4*h**4 - 1/3*h**3 + 0*h**2. Factor x(s).
-s*(s - 2)*(s - 1)
Factor 0 - 8/3*n + 2/3*n**4 - 14/3*n**2 - 4/3*n**3.
2*n*(n - 4)*(n + 1)**2/3
Let o = -1199/24 - -50. Let n(u) be the third derivative of -1/60*u**6 + 0*u**5 + 0 + o*u**4 - u**2 + 0*u**3 + 1/336*u**8 + 0*u**7 + 0*u. Factor n(i).
i*(i - 1)**2*(i + 1)**2
Let v be (35/21)/((-5)/(-6)). Solve -2 + v*a**4 - 2*a**2 - a**4 + 3 = 0 for a.
-1, 1
Let z = 483301/180 + -2685. Let h(w) be the third derivative of 0 - w**2 + 0*w**4 - 1/45*w**5 + z*w**6 + 0*w**3 + 0*w. Factor h(x).
2*x**2*(x - 2)/3
Let j = 4 + -2. Let w(g) be the third derivative of -1/40*g**6 + 2*g**j - 1/24*g**4 + 0*g - 1/210*g**7 + 0*g**3 - 1/20*g**5 + 0. Suppose w(p) = 0. What is p?
-1, 0
Let n = -2/3235 - -5263363/29115. Let r = 181 - n. Factor 2/9 + r*s**2 + 4/9*s.
2*(s + 1)**2/9
Solve 0*g**4 + 0*g**2 + 5/2*g**5 + 5/2*g + 0 - 5*g**3 = 0.
-1, 0, 1
Factor -2/3*z + 0 + 4*z**2 - 6*z**3 + 8/3*z**4.
2*z*(z - 1)**2*(4*z - 1)/3
Let o be 3/(-9) - (-49)/21. Factor -2/7*c**3 + 8/7 + 0*c - 6/7*c**o.
-2*(c - 1)*(c + 2)**2/7
Suppose -i - 2 = -4. Let p be (i - 0)*10/4. Suppose s**p - 2*s**4 + 4*s**3 - 2 + 2*s**5 + 4*s**2 - 2*s - 5*s**5 = 0. What is s?
-1, 1
Let o be 2/(-8)*(-24)/9. Determine h, given that -o*h**5 - 8/3*h**2 - 8/3*h**4 - 2/3*h + 0 - 4*h**3 = 0.
-1, 0
Factor -u**3 + 7*u**3 - 5*u**3 + 3*u**2 - u + 3*u.
u*(u + 1)*(u + 2)
Determine r so that -3*r**3 + 11*r**3 + 3*r**4 - 5*r**3 = 0.
-1, 0
Let s(p) be the third derivative of 3*p**8/280 + 2*p**7/35 + 37*p**6/300 + 2*p**5/15 + p**4/15 - p**2. Factor s(b).
2*b*(b + 1)**2*(3*b + 2)**2/5
What is y in -6/17*y**2 + 0 - 10/17*y**3 + 4/17*y = 0?
-1, 0, 2/5
Let v(j) be the third derivative of -7*j**5/12 + 115*j**4/24 - 5*j**3 + 15*j**2. Factor v(l).
-5*(l - 3)*(7*l - 2)
Let y(p) = -p**3 + 3*p**2 + 2*p - 3. Let m be y(3). Let 0*r**2 + 0 - 2/5*r + 2/5*r**m = 0. Calculate r.
-1, 0, 1
Let g(t) be the second derivative of -t**8/6720 - t**7/1680 - 4*t**3/3 + 3*t. Let i(s) be the second derivative of g(s). Factor i(c).
-c**3*(c + 2)/4
Let h(d) be the third derivative of d**7/840 - d**6/180 + d**5/120 - 5*d**3/6 - 3*d**2. Let p(n) be the first derivative of h(n). Factor p(u).
u*(u - 1)**2
Let j(x) be the first derivative of x**6/288 - x**5/160 - x**4/48 - x**3 + 3. Let v(f) be the third derivative of j(f). Let v(p) = 0. What is p?
-2/5, 1
Determine t so that -2/7*t + 0 + 0*t**2 + 2/7*t**3 = 0.
-1, 0, 1
Let n(c) be the third derivative of c**8/1680 + c**7/840 + c**3/2 + 2*c**2. Let j(a) be the first derivative of n(a). Factor j(x).
x**3*(x + 1)
Let k(u) = 5*u - 1. Let b be 16/20 + 1/5. Let t be k(b). Let -4*w**3 + 2*w + 2 - t + 2*w**3 + 2*w**2 = 0. Calculate w.
-1, 1
Let g(n) be the first derivative of 0*n + 0*n**5 + 0*n**2 + 3 + 0*n**3 + 1/2*n**4 - 1/3*n**6. Factor g(s).
-2*s**3*(s - 1)*(s + 1)
Suppose a + 16 = -4*k - 0*k, 3*k = -12. Suppose 2*i**2 - 7 + 7 + a = 0. What is i?
0
Let h be (4/4)/((-1)/(-2)). Let c(r) = -r + 8. Let y be c(8). Factor 1/2*v + 5/2*v**h + y.
v*(5*v + 1)/2
Let w = 46 - 39. Let m(d) be the second derivative of 0*d**3 + 1/80*d**5 - 3*d + 0*d**2 - 1/168*d**w + 0 + 1/48*d**4 - 1/120*d**6. Factor m(h).
-h**2*(h - 1)*(h + 1)**2/4
Let j = -2 - -3. Let g be 2 + -2 + 1 + j. Let 6 - 17*y**g - 5*y**2 - 18*y - 2 = 0. What is y?
-1, 2/11
Let a be 1/(-1 + 3/2). Factor 2*u**3 - 2 + 7*u**2 - 2*u - 7*u**2 + a*u**2.
2*(u - 1)*(u + 1)**2
Solve 8 - 39*g**2 + 53*g**2 + 98*g**3 + 67*g - 3*g + 140*g**2 = 0.
-1, -2/7
Let j = 14 + -11. Factor -t - 4*t + t**j + 5*t + t**2.
t**2*(t + 1)
Let h(u) be the third derivative of -u**5/390 + 11*u**4/78 - 121*u**3/39 + 52*u**2. Solve h(b) = 0.
11
Let w(b) be the first derivative of b**6/10 - 7*b**5/20 + 5*b**4/12 - b**3/6 + 6*b - 6. Let t(a) be the first derivative of w(a). Factor t(s).
s*(s - 1)**2*(3*s - 1)
Factor -15*a - 5*a**3 + 0 - 6 - 17*a**2 + 2*a**2 + 1.
-5*(a + 1)**3
Let w be (5 + -5)*(0 - -1). Factor -27*b - 2*b**3 - 27 - 3*b**3 + w*b**3 - 9*b**2 + 4*b**3.
-(b + 3)**3
Let f = 19 + -29. Let w(c) = -c**2 - 10*c. Let o be w(f). Factor -1/3*m**2 - 2/3*m + o.
-m*(m + 2)/3
Factor 2/9*z**5 - 2/9*z**3 + 0*z**2 + 0*z**4 + 0 + 0*z.
2*z**3*(z - 1)*(z + 1)/9
Suppose -5*s + 8 = -j, -5*s - 2*j + 18 = 2*j. Factor 1 - 2*n + 6*n**s - 5*n**2 + 0.
(n - 1)**2
Let m(c) be the second derivative of c**6/165 - 2*c**5/55 + c**4/11 - 4*c**3/33 + c**2/11 - 10*c. Determine s, given that m(s) = 0.
1
Suppose 5*j + 5 = 490. Let t = 211 - j. Find h such that -51*h**5 + 9*h**5 + 56*h**2 - t*h**3 + 117*h**4 - 3*h**2 - 8*h**2 - 6*h = 0.
0, 2/7, 1/2, 1
Let v(n) = 8*n**3 - 8*n**2 - n - 6. Let g(y) = y**3 - y**2 - 1. Let f(j) = 35*g(j) - 5*v(j). Factor f(p).
-5*(p - 1)**2*(p + 1)
Let a(r) be the third derivative of r**5/270 + r**4/108 - 15*r**2. Factor a(p).
2*p*(p + 1)/9
Let c be -2 + ((-15)/25)/((-42)/180). Factor 6/7*y - 2/7*y**2 - c.
-2*(y - 2)*(y - 1)/7
Let q(b) be the second derivative of b**10/120960 - b**8/13440 + b**6/2880 + b**4/2 + 6*b. Let a(k) be the third derivative of q(k). Let a(v) = 0. What is v?
-1, 0, 1
Let y(c) be the second derivative of -c**7/294 + c**6/70 + 3*c**5/70 - 5*c**4/42 - c**3/2 - 9*c**2/14 + 8*c. Factor y(k).
-(k - 3)**2*(k + 1)**3/7
Let t(f) be the second derivative of f**4/48 - f**3/24 - 5*f. Let t(v) = 0. What is v?
0, 1
Let g(p) be the third derivative of -p**11/665280 + p**10/302400 - p**5/6 + 4*p**2. Let n(a) be the third derivative of g(a). Suppose n(l) = 0. Calculate l.
0, 1
Let g be 7/1*1*44/154. Factor n**g + n + 1/3*n**3 + 1/3.
(n + 1)**3/3
Let a be (16/(-90))/(66/(-330)). Factor 0 - a*x**2 - 2/3*x.
-2*x*(4*x + 3)/9
Let h(m) be the second derivative of 5*m**7/42 - m**5/2 + 5*m**3/6 + m. Factor h(g).
5*g*(g - 1)**2*(g + 1)**2
Let t(q) = -q**2 + 11*q - 8. Let x be t(10). Let j = x + 1. Find r such that 0*r + 0*r**2 + 0 + 1/2*r**j - 1/2*r**4 = 0.
0, 1
Let g = 13/12 + 1/4. Suppose 3*v = 4*v. Find z, given that -5*z**4 + v - g*z - 19/3*z**3 + 20/3*z**2 = 0.
-2, 0, 1/3, 2/5
Let z(y) = y**3 - 5*y**2 - 7*y + 8. Let d be z(6). Suppose 13 + 4*m**d + 8*m + 16*m + 23 = 0. Calculate m.
-3
Determine w so that -1/2*w**2 - w + 4 = 0.
-4, 2
Let o(l) be the first derivative of 3 + 2/3*l**3 + 8*l - 4*l**2. Solve o(n) = 0.
2
Factor 10*w - 14/3 - 4/3*w**2.
-2*(w - 7)*(2*w - 1)/3
Let q(u) be the first derivative of -5*u**3/3 + 15*u**2/2 - 10*u - 13. Factor q(d).
-5*(d - 2)*(d - 1)
Let u(k) be the first derivative of 1/2*k**4 + 2*k - 2 - 2/3*k**3 - k**2. Factor u(x).
2*(x - 1)**2*(x + 1)
Let i(r) = 6*r**3 - 30*r**2 + 41*r. Let b(y) = y**3 - 5*y**2 + 7*y. Let q(l) = -34*b(l) + 6*i(