*a**2 - 2/7*a + 0 = 0. Calculate a.
0, 1
Let g(d) = -18*d**3 + 22*d**2 - 12*d - 8. Let u = 29 + -31. Let n(w) = -2*w. Let c(y) = u*g(y) + 44*n(y). Factor c(k).
4*(k - 2)*(k + 1)*(9*k - 2)
Let y(k) be the second derivative of k**4/36 + k**3 - 19*k**2/6 - 488*k. Factor y(a).
(a - 1)*(a + 19)/3
Let q be -3 + 2 - 2*(-9)/6. Factor 6*p**2 + 4*p + 6*p**q + 16*p - 2*p + 2*p**3.
2*p*(p + 3)**2
Let f(v) be the first derivative of v**5/10 - v**4/2 + 5*v**3/6 - v**2/2 + 118. Let f(x) = 0. Calculate x.
0, 1, 2
Let c(y) be the third derivative of 0 - 1/20*y**5 + 0*y**3 + 15*y**2 + 0*y**4 - 1/210*y**7 + 0*y - 1/336*y**8 + 1/24*y**6. Factor c(h).
-h**2*(h - 1)**2*(h + 3)
Let s(x) be the third derivative of -13*x**2 + 0*x**3 - 1/25*x**5 - 1/120*x**6 - 1/30*x**4 + 0*x + 0. Factor s(p).
-p*(p + 2)*(5*p + 2)/5
Let b(z) be the first derivative of -5*z**3/3 - 35*z**2/2 + 150*z + 259. Suppose b(a) = 0. What is a?
-10, 3
Let s(a) be the third derivative of a**6/280 - a**5/140 - a**4/56 + a**3/14 - 108*a**2. Factor s(k).
3*(k - 1)**2*(k + 1)/7
Factor 80*x**3 - 82*x**3 + 105*x + 88 + 38*x**2 + 23*x.
-2*(x - 22)*(x + 1)*(x + 2)
Let t(i) be the second derivative of i**6/15 + i**5/2 + i**4 - 10*i + 5. Factor t(m).
2*m**2*(m + 2)*(m + 3)
Let h(g) = 7*g**3 + 278*g**2 + 8*g. Let l(s) = -5*s**3 - 185*s**2 - 5*s. Let f(v) = 5*h(v) + 8*l(v). Factor f(i).
-5*i**2*(i + 18)
Factor 0 - 5/4*z**2 - 15*z + 5/4*z**3.
5*z*(z - 4)*(z + 3)/4
Let i(f) be the second derivative of -f**7/21 - 2*f**6/15 + 7*f**5/10 - 2*f**4/3 + 3*f + 14. Factor i(s).
-2*s**2*(s - 1)**2*(s + 4)
Let l = 4273 + -4271. Suppose -32/7 - 2/7*w**l - 16/7*w = 0. Calculate w.
-4
Let q be (2/(-12))/(3/(-45))*2. Suppose p - 3*v - 7 = 0, 3*p - 11 = 4*v + q. Suppose 3/4*i**p - 3*i**3 + 9/2*i**2 - 3*i + 3/4 = 0. What is i?
1
Let g be (-48)/36*54/(-24). Factor -1/4*l**4 + 1/2*l**g - 1/2*l + 1/4 + 0*l**2.
-(l - 1)**3*(l + 1)/4
Let h(v) = 1. Let g(j) be the second derivative of j**4/4 - j**3/2 - 5*j**2/2 - 63*j. Let r = -16 + 11. Let y(z) = r*h(z) - g(z). Factor y(x).
-3*x*(x - 1)
Let k = 2/105 + 118/105. Suppose -2*l + 2*j + 32 = 2*l, 3*l + 5*j = 24. Factor l*f**3 + 0*f + k*f**2 + 90/7*f**4 + 0.
2*f**2*(5*f + 2)*(9*f + 2)/7
Let n = 361 + -351. Let g(k) be the third derivative of 1/15*k**5 - n*k**2 + 8/15*k**3 - 2/5*k**4 + 0*k + 0. Factor g(w).
4*(w - 2)*(5*w - 2)/5
Factor 9 - 81*q + 27*q**2 + 94 - 22 - 3*q**3.
-3*(q - 3)**3
Let w(j) = 11*j + 379. Let m be w(-34). Let f(c) be the third derivative of -1/20*c**6 + 0*c**4 + 0*c**3 + 0*c + 0*c**m + 3/70*c**7 + 7*c**2 + 0. Factor f(x).
3*x**3*(3*x - 2)
Let x(n) be the first derivative of -5 + 0*n + 2*n**2 + 2*n**3 + 1/2*n**4. Solve x(j) = 0.
-2, -1, 0
Factor -10/3*t**2 + 55/6*t + 5/2.
-5*(t - 3)*(4*t + 1)/6
Let d be (-14)/(-10) + 1 - 66/(-110). Suppose 5*r = -v - d, 3*r - 2 = 5*r. Factor 4/5*q**4 - 3/5*q**3 + 3/5*q + 1/5 - q**v.
(q - 1)**2*(q + 1)*(4*q + 1)/5
Let v = -4640 + 32488/7. Let a be 3/(105/(-4))*-5. Let 8/7 - 4/7*i + a*i**3 - v*i**2 = 0. Calculate i.
-1, 1, 2
Let s(p) = -22*p - 108. Let l be s(-5). Solve 0*f**3 + 0 + 4/3*f + l*f**2 - 2/3*f**4 = 0.
-1, 0, 2
Suppose 0 = -7*k - 6*k + 52. Let l(s) be the second derivative of -1/90*s**6 + 0*s**4 + 1/6*s**2 - k*s - 1/9*s**3 + 0 + 1/30*s**5. Factor l(z).
-(z - 1)**3*(z + 1)/3
Let b be (-2 - -1)/((-20)/(89 - 9)). Let y(z) be the first derivative of 1/9*z**2 + 0*z**3 + 2 + 0*z - 1/18*z**b. Solve y(w) = 0 for w.
-1, 0, 1
Let y(p) be the second derivative of -p**4/6 + 10*p**3/3 + 3*p - 2. Solve y(z) = 0 for z.
0, 10
Let m(k) be the second derivative of 2*k**6/45 - 2*k**5/5 - 8*k**4/9 + 4*k**3/3 + 14*k**2/3 + 146*k. Suppose m(h) = 0. Calculate h.
-1, 1, 7
Let f(l) be the third derivative of l**6/150 - 4*l**5/75 - 11*l**4/30 - 4*l**3/5 - 97*l**2. Find a, given that f(a) = 0.
-1, 6
Let c(u) = -u**2 - u + 2. Let a be c(0). Suppose 7 + a = 3*g. Let h**2 + h**2 + 6 - 8*h**2 + 3*h - 3*h**g + 0*h**2 = 0. Calculate h.
-2, -1, 1
Let x = 4335 + -4333. Factor 96/5*v + 84/5 + 3/5*v**3 + 33/5*v**x.
3*(v + 2)**2*(v + 7)/5
Suppose 4*f - 3079 = -4*d + 1233, 0 = -4*f + 2*d + 4300. Determine m, given that 1077*m**2 + 1 + 0 - f*m**2 - 2*m = 0.
1
Suppose -36/5*i**3 - 4/5*i**5 - 28/5*i**4 + 216/5*i + 0 + 108/5*i**2 = 0. What is i?
-3, 0, 2
Let a be (-2 + -1)*14/(-63)*12 - 3. Factor -4/3*d**2 + 4/3*d**4 - 2/3*d**a + 0 + 2/3*d + 0*d**3.
-2*d*(d - 1)**3*(d + 1)/3
Let q be 6/(-16) - 59370/528. Let x = q - -113. Factor 0 - 4/11*l - x*l**2.
-2*l*(l + 2)/11
Let g(y) be the second derivative of -y**5/120 - y**4/24 + y**3/4 + 43*y**2/2 - 8*y. Let r(c) be the first derivative of g(c). Factor r(o).
-(o - 1)*(o + 3)/2
Let u = 50 + -28. Suppose -19 = -4*t - x, -3*t + u = t + 2*x. Determine g, given that -1/2*g**t - g + 0 + 3/2*g**2 + 0*g**3 = 0.
-2, 0, 1
Solve 208/3*q - 338/9 - 2/9*q**4 - 236/9*q**2 - 16/3*q**3 = 0 for q.
-13, 1
Let h = -110 - -114. Suppose -h*x + x = -10*x. Suppose x + 0*l + 0*l**2 - 1/6*l**3 = 0. What is l?
0
Solve 14*j**3 - j**4 - 5*j + 4*j + 3*j**2 - 2*j**2 - 13*j**3 = 0.
-1, 0, 1
Let -66*m**2 + 96 + 48*m - 6*m**3 + 21/2*m**4 - 3/2*m**5 = 0. Calculate m.
-2, -1, 2, 4
Find s such that 48/7*s**4 + 2052/7*s**2 - 450/7*s**3 - 2/7*s**5 - 648*s + 3888/7 = 0.
3, 6
Let f(n) be the second derivative of -n**6/10 + 11*n**5/20 + 10*n**4/3 + 2*n**3 - 7*n - 2. Determine i so that f(i) = 0.
-2, -1/3, 0, 6
Suppose 0*d = -3*d - 9. Let f = 5 + d. Let 10*n**f + 2*n - 7*n**2 - 2*n = 0. Calculate n.
0
Let x(o) be the third derivative of -o**9/20160 + o**8/4480 + o**7/1120 + o**4/8 - 2*o**2. Let b(c) be the second derivative of x(c). Factor b(f).
-3*f**2*(f - 3)*(f + 1)/4
Suppose 2*f + 3*y = 1243, 1857 = 3*f - y + 4*y. Factor -618*s**2 + f*s**2 + 6*s**4 - 2*s**3 - 2*s**4 + 2*s**5.
2*s**2*(s - 1)*(s + 1)*(s + 2)
Let n = 1005 + -10049/10. Factor 3/10*l + n*l**2 - 2/5.
(l - 1)*(l + 4)/10
Let p be 46/16 - ((-135)/(-108))/((-30)/3). Factor 3/5*v**4 + p*v**2 + 0 - 6/5*v - 12/5*v**3.
3*v*(v - 2)*(v - 1)**2/5
Let a(f) be the first derivative of 4*f + 0*f**2 - 1 - 1/18*f**4 + 2/9*f**3. Let p(m) be the first derivative of a(m). Factor p(j).
-2*j*(j - 2)/3
Let t be 494/52 - 16/2. Suppose -1/2*u**4 - u**3 + 0*u + 0 + t*u**2 = 0. Calculate u.
-3, 0, 1
Let r(a) be the second derivative of -a**7/42 + a**6/10 - a**5/10 - a**4/6 + a**3/2 - a**2/2 + 3*a - 128. Factor r(k).
-(k - 1)**4*(k + 1)
Let s(t) = t**3 + t**2 - 3*t + 1. Let g(l) = -2*l**3 - 6*l**2 - l - 1. Let b(u) = 4*g(u) + 4*s(u). Factor b(q).
-4*q*(q + 1)*(q + 4)
Let a(t) be the third derivative of t**8/171360 + t**7/14280 - t**6/1530 - 3*t**5/20 - 20*t**2. Let x(u) be the third derivative of a(u). Factor x(z).
2*(z - 1)*(z + 4)/17
Let z = 737/302 - -9/151. Factor 0 + z*a**4 - 1/2*a**2 + 0*a - 3/2*a**5 - 1/2*a**3.
-a**2*(a - 1)**2*(3*a + 1)/2
Let h(p) be the second derivative of p**5/30 - p**4/9 - 13*p**3/9 - 10*p**2/3 - 12*p + 2. Factor h(k).
2*(k - 5)*(k + 1)*(k + 2)/3
Let h(q) = 2*q**3 - 2*q. Let o be -1 + (3 - (4 + 2)). Let u(v) = -v - 8*v + 4*v + 0*v + 5*v**3. Let r(s) = o*u(s) + 9*h(s). Let r(d) = 0. What is d?
-1, 0, 1
Let g(n) be the third derivative of 0 + 14*n**2 + 0*n + 1/60*n**5 + 25/6*n**3 + 5/12*n**4. Determine x, given that g(x) = 0.
-5
Let a(q) = -q**3 + 2*q**2 + 2*q - 2. Let y = 0 + 2. Let s be a(y). Determine l, given that -l**s + 3*l**2 - 4 - l**2 + 1 - 2*l = 0.
-1, 3
Let g(r) = 5*r**5 + 24*r**4 + 45*r**3 + 35*r**2 + 10*r + 1. Let a be (2/(-4))/(((-3)/(-2))/3). Let b(d) = -d**4 + 1. Let n(j) = a*g(j) + b(j). Factor n(p).
-5*p*(p + 1)**3*(p + 2)
Let y = 228 - 1139/5. Let f(k) be the second derivative of 4*k + 0*k**2 - 2/5*k**5 + y*k**6 + 1/6*k**4 + 0 + 0*k**3. Factor f(h).
2*h**2*(h - 1)*(3*h - 1)
Let -6/5*l + 3/5*l**2 + 9/5*l**3 - 3/5*l**4 - 3/5*l**5 + 0 = 0. What is l?
-2, -1, 0, 1
Let i = -16324/135 - 1930/27. Let v = -191 - i. Factor v*c**3 - 18/5*c**2 - 1/5*c**4 + 4*c - 8/5.
-(c - 2)**3*(c - 1)/5
Let -2/11*n**2 + 36/11*n + 0 = 0. What is n?
0, 18
Let h be -16 + ((-2)/1)/2. Let y = -11 - h. Factor y + m - 4*m - m + 2*m**2 - 4.
2*(m - 1)**2
Suppose -2*l - 18 + 20 = 4*v, 0 = 5*v + l + 5. Let h be (-224)/(-160) + (-2)/v. Factor 0 + 16/15*m - 14/15*m**4 + 2/15*m**5 + h*m**3 - 8/3*m**2.
2*m*(m - 2)**3*(m - 1)/15
Let m be ((-4)/(-6))/(9/54). Let t = 1 - -1. Factor 4*v**2 + 3 - m - 3*v**t.
(v - 1)*(v + 1)
L