g + k = 0. Calculate g.
-1, 1, 3
Let x(o) be the third derivative of -o**5/180 + 37*o**4/36 - 1369*o**3/18 + 44*o**2. Factor x(l).
-(l - 37)**2/3
Let p(z) be the third derivative of -z**7/945 - 2*z**6/135 - 4*z**5/45 - 8*z**4/27 - 16*z**3/27 + 700*z**2. Factor p(w).
-2*(w + 2)**4/9
Let p be 4 - (-1)/(3/(-2) + 220/88). Factor 2/15*h**p + 8/5*h**3 + 2/5*h - 4/5*h**4 - 4/3*h**2 + 0.
2*h*(h - 3)*(h - 1)**3/15
Let b(y) = -6*y + 4*y + 2*y - y**2. Let g be b(0). Determine k, given that -2*k**3 - 2*k**4 + 4 + 8*k + 6*k**2 + g*k + 2*k = 0.
-1, 2
Factor 52*m - 12 - 169/3*m**2.
-(13*m - 6)**2/3
Suppose 56 = 4*g - 44. Suppose -6*m + g = -m. Factor -m + 4 + 3*t**2 + 6*t - 8*t.
(t - 1)*(3*t + 1)
Find y such that -16 - 6*y + 11 - 12 - y**2 + 9 = 0.
-4, -2
Find z such that 0*z + 0*z**2 + 1/2*z**5 + 0 + 5*z**3 + 7/2*z**4 = 0.
-5, -2, 0
Let d(m) be the second derivative of 1/42*m**4 + 0 - 9*m - 4/7*m**2 + 1/70*m**5 - 4/21*m**3. Factor d(s).
2*(s - 2)*(s + 1)*(s + 2)/7
Let m(b) be the first derivative of -53*b**2 - 4 - 2*b**3 + 3*b**3 + 41*b**2 + 28. Let m(p) = 0. Calculate p.
0, 8
Let p(g) be the first derivative of 0*g - 2/15*g**4 - 2/9*g**3 - 4 - 2/15*g**2 - 2/75*g**5. Factor p(w).
-2*w*(w + 1)**2*(w + 2)/15
Let q(t) be the third derivative of 0*t**4 + 0*t**3 - 3/40*t**6 - 14*t**2 + 0*t**7 + 0*t - 1/10*t**5 + 1/112*t**8 + 0. Factor q(v).
3*v**2*(v - 2)*(v + 1)**2
Factor 20/3*c**2 + 0 - 40/3*c + 10/3*c**3 - 5/3*c**4.
-5*c*(c - 2)**2*(c + 2)/3
Let t(o) be the third derivative of 11/39*o**3 - 48*o**2 + 3/130*o**5 + 0 + 7/52*o**4 - 1/780*o**6 + 0*o. Determine w, given that t(w) = 0.
-1, 11
Let y be -1 - ((-616)/3 + -5). Let m = 210 - y. Factor -2/3*v - 1/3*v**4 + 0 + m*v**3 + 1/3*v**2.
-v*(v - 2)*(v - 1)*(v + 1)/3
Suppose 0 = 3*x + 2*c + 25 - 1, -2*c - 6 = 0. Let r be ((-24)/20)/(x/10). Find p such that 0 + 2/13*p**3 + 0*p**r + 2/13*p**5 + 0*p + 4/13*p**4 = 0.
-1, 0
Let v(d) be the third derivative of -d**7/2520 - 7*d**6/1080 - d**5/24 - d**4/8 + d**3/3 - 6*d**2. Let c(j) be the first derivative of v(j). Factor c(s).
-(s + 1)*(s + 3)**2/3
Factor -12*j - 37*j - 34*j - 2*j**2 - 882 - j.
-2*(j + 21)**2
Factor 57/7*w + 0 + 3/7*w**2.
3*w*(w + 19)/7
Let i(j) be the second derivative of j**5/300 + j**4/20 + 3*j**3/10 - 17*j**2/2 - 11*j. Let v(a) be the first derivative of i(a). Let v(w) = 0. Calculate w.
-3
Let n(i) be the second derivative of 3*i**6/70 - 57*i**5/70 + 87*i**4/28 - 36*i**3/7 + 30*i**2/7 + 2*i - 18. Suppose n(l) = 0. Calculate l.
2/3, 1, 10
Let m(g) = 13*g**2 + 221*g + 3139. Let p(d) = -23*d**2 - 443*d - 6277. Let f(r) = -5*m(r) - 3*p(r). Factor f(s).
4*(s + 28)**2
Let x(m) = -m**2 + 36*m - 299. Let v be x(13). Determine i so that -3/4*i**2 + v*i**3 + 0 - 3/8*i**5 + 3/4*i**4 + 3/8*i = 0.
-1, 0, 1
Let a(m) be the third derivative of m**6/420 - m**5/42 - m**4/14 - 87*m**2 + 2. Factor a(d).
2*d*(d - 6)*(d + 1)/7
Let z(v) be the third derivative of -v**5/210 - 5*v**4/84 + 2*v**3/3 + 87*v**2. Let z(n) = 0. Calculate n.
-7, 2
Suppose -4*l = -6*l - 2. Let h(u) = u**2 + 2*u - 1. Let t(r) = 5*r**2 + 6*r - 3. Let i(n) = l*t(n) + 4*h(n). Factor i(b).
-(b - 1)**2
Let l(y) = y**2 + 2*y - 2. Let v be l(0). Let p be (4/44)/(v + (-10)/(-4)). Factor 4/11*t**3 + 0*t + 0 + 2/11*t**2 + p*t**4.
2*t**2*(t + 1)**2/11
Let y be (-7 + 11 - (-2 - -6))*1. Factor 2/15*v**2 + 2/15*v + y.
2*v*(v + 1)/15
Let h(z) be the second derivative of 29*z - 25/6*z**3 + 2 + 5/12*z**4 + 10*z**2. Solve h(v) = 0 for v.
1, 4
Suppose -21 = 6*t - 39. Factor j**5 - 4*j**4 + 6894*j**3 + 2*j**4 - 6893*j**t.
j**3*(j - 1)**2
Factor -2/19*y**3 - 10/19*y + 0 - 12/19*y**2.
-2*y*(y + 1)*(y + 5)/19
Let s(z) be the second derivative of z**4/3 - 2*z**3/3 - 40*z**2 - 67*z + 3. Factor s(v).
4*(v - 5)*(v + 4)
Let j = 1 - -1. Let 4 - o**3 + 3*o**2 + 7*o**j + 26*o - o**3 + 10 = 0. Calculate o.
-1, 7
Suppose 63*a - 168 = -22*a + a. Factor 2*w**3 + 2/3*w**4 + 0 - 2/3*w**a - 2*w.
2*w*(w - 1)*(w + 1)*(w + 3)/3
Let x(g) = 6*g**3 - 2*g**3 + 7*g - 7 - 29*g - 18*g**2. Let w(v) = -v**3 + 6*v**2 + 7*v + 2. Let m(o) = -21*w(o) - 6*x(o). Find l, given that m(l) = 0.
-5, -1, 0
Let s(l) be the third derivative of l**5/12 - 85*l**4/24 + 40*l**3/3 + 2*l**2 + 4*l. Determine j, given that s(j) = 0.
1, 16
Let j(x) = x**3 - 5*x**2 + 3. Let i(n) = n**2 - 3*n - 5. Let z be i(-2). Let l be j(z). Factor -9*h**2 - 15*h**4 + 17*h**l - 16*h**3 + 26*h**3 - 3*h.
-3*h*(h - 1)**2*(5*h + 1)
Suppose 3*z + 371 = 5*p, 0 = z - 0*z - 3*p + 121. Let y = z - -127. Suppose 1/2*r**2 - r**3 + y + 1/2*r**4 + 0*r = 0. Calculate r.
0, 1
Suppose -21 = -12*s + 27. Suppose 0*l - 6 = -l + x, -20 = 5*x. Let -4*f + 5*f**4 + 4*f**3 + 2*f**2 + 0*f**l - 7*f**s = 0. What is f?
-1, 0, 1, 2
Suppose -13*t - 897 = -26*t. Suppose v - 72 = -t. Factor 5/4*y**2 + 0 + 5/2*y**v + 5/4*y**4 + 0*y.
5*y**2*(y + 1)**2/4
Let v(d) be the third derivative of 0*d + d**2 - 37/150*d**5 + 1/3*d**4 + 0 + 1/10*d**6 - 4/15*d**3 - 3/175*d**7. Factor v(p).
-2*(p - 1)**2*(3*p - 2)**2/5
Let s(k) = 11*k**2 - 5*k - 7. Let l(t) = -5*t**2 + 2*t + 3. Let o(a) = -9*l(a) - 4*s(a). Factor o(p).
(p + 1)**2
Let s(t) be the first derivative of -6*t**5/5 - 39*t**4/4 - 24*t**3 - 27*t**2/2 - 242. Solve s(x) = 0 for x.
-3, -1/2, 0
Factor 19*h + 3*h**2 + 9 + 3 + h**2 - 3*h**2 + 6.
(h + 1)*(h + 18)
Let t(v) be the third derivative of v**7/945 - v**6/180 - v**5/45 + 7*v**4/27 - 8*v**3/9 - 17*v**2 - 10*v. Factor t(x).
2*(x - 2)**3*(x + 3)/9
Suppose -59*j + 37*j + 44 = 0. Let t(v) be the second derivative of 1/2*v**4 - v + 0*v**5 + 0*v**j + 0 - 1/15*v**6 - 2/3*v**3. Factor t(s).
-2*s*(s - 1)**2*(s + 2)
Let i(d) be the third derivative of 1/480*d**5 + 0 + 0*d + 1/64*d**4 + 4*d**2 + 1/24*d**3. Solve i(q) = 0 for q.
-2, -1
Let h(o) = -12*o**3 - 20*o**2 - 4*o + 4. Let i(s) = -s**2. Let q(b) = h(b) - 8*i(b). Let y(x) be the first derivative of q(x). Solve y(d) = 0.
-1/3
Let s be ((-78)/65)/((-4)/(-190)). Let j = 60 + s. Solve 1/6*q**2 + 0 + 1/3*q**j - 1/3*q - 1/6*q**4 = 0.
-1, 0, 1, 2
Suppose -12*n + 17 = 17. Let x(a) be the first derivative of -3/2*a**4 - 2/5*a**5 + 10/3*a**3 + 1/3*a**6 - 2*a**2 - 5 + n*a. Find v, given that x(v) = 0.
-2, 0, 1
Let t(a) = -a**2 + 10*a - 13. Let w be t(4). Let -b**4 - b**3 - w*b + 3*b**3 + 11*b - b**2 = 0. Calculate b.
0, 1
Let o(d) = -d**3 + d**2 - 1. Let r(v) = -2*v**3 + 3*v**2 + 25*v - 5. Let p(s) = -o(s) + r(s). Let b be p(6). Factor 2/7*u**b + 0 - 2/7*u.
2*u*(u - 1)/7
Suppose 4*w - 4*y = 0, 0 = 2*w - 0*y + 3*y - 15. Suppose -9 = -0*n - w*n. Find c, given that 0 + 1/2*c**2 + 1/2*c**n + 0*c = 0.
-1, 0
Let y(p) be the third derivative of 0 - 1/180*p**5 + 1/18*p**4 + 0*p - 1/6*p**3 - 11*p**2. Factor y(a).
-(a - 3)*(a - 1)/3
Let y(o) be the second derivative of -o**7/315 - o**6/225 + o**5/25 - o**4/45 - o**3/9 + o**2/5 - 368*o. Let y(k) = 0. Calculate k.
-3, -1, 1
Let m be (12 - 15)*((-286)/(-12))/(-13). Solve 23/2*b**3 + b**5 - 23/2*b**2 - 11/2*b**4 - 1 + m*b = 0 for b.
1/2, 1, 2
Let 68/7*f - 24/7 - 61/7*f**3 + 3*f**4 + 18/7*f**5 - 22/7*f**2 = 0. What is f?
-2, -3/2, 2/3, 1
Suppose -2*u = 4*d - 3*u - 8, -5*d + 10 = 2*u. Factor 4 - 3 + 17*i**2 - 18*i**d.
-(i - 1)*(i + 1)
Let r(z) be the second derivative of -z**7/13860 - z**6/1980 + z**5/220 - 17*z**4/12 + 4*z. Let s(j) be the third derivative of r(j). Factor s(d).
-2*(d - 1)*(d + 3)/11
Let d = 2/119 + 1184/357. Let x be (0 + 0)/((-84)/(-18 + -10)). Let x + 2/3*v + d*v**2 = 0. Calculate v.
-1/5, 0
Let r be 16/(-20) + (-1664)/(-480). Find o, given that 4/3*o**5 + 9 + 27*o**2 - 23/3*o**3 - r*o**4 - 27*o = 0.
-3, 1, 3/2
Suppose 5*p + 0*p - 36 = -2*t, -p + 3*t = -14. Find y, given that -18*y**5 - 3*y**2 + 14*y**5 + p*y**4 - 5*y**2 + 4*y**3 = 0.
-1, 0, 1, 2
Let n be (4 + -3)*20/6 + -66 + 63. Suppose -4/3 + n*d**5 + 2/3*d**4 - 8/3*d**3 + 2/3*d**2 + 7/3*d = 0. What is d?
-4, -1, 1
Solve -40/17*k**2 + 484/17 + 154/17*k + 2/17*k**3 = 0.
-2, 11
Let n(i) be the second derivative of -i**7/210 - 7*i**6/75 - i + 413. Factor n(p).
-p**4*(p + 14)/5
Let z(a) be the third derivative of -a**6/120 + a**5/20 + a**4/24 - a**3/2 + 35*a**2. Factor z(r).
-(r - 3)*(r - 1)*(r + 1)
Factor 12*m**2 + 18*m**4 + 0 - 111/5*m**3 - 27/5*m**5 - 12/5*m.
-3*m*(m - 1)**2*(3*m - 2)**2/5
Let n(z) be the first derivative of -z**6/420 + z**4/84 + 5*z**2/2 - 3*z + 20. Let k(y) be th