the first derivative of b**4/14 - 22*b**3/21 + 24*b**2/7 + 72*b/7 + 258. Factor h(g).
2*(g - 6)**2*(g + 1)/7
Let i = -38 - -70. Let n be 6*4/i*24. Suppose -6*j - 12*j**2 + n*j - 4 + 4*j**3 + 0*j**3 = 0. Calculate j.
1
Let c(m) be the third derivative of m**5/40 + m**4/4 + 125*m**2. Let c(p) = 0. Calculate p.
-4, 0
Let t = -13851 - -180069/13. Let t*j + 4/13 - 40/13*j**2 = 0. Calculate j.
-1/4, 2/5
Let p = 2 - 0. Factor o**p - 7*o + 3*o - 12*o**3 - 2*o**2 - 11*o**2 - 4*o**4.
-4*o*(o + 1)**3
Let j(o) be the second derivative of -o**7/420 - o**6/30 - o**5/5 - 2*o**4/3 - 9*o**3/2 - 15*o - 3. Let u(i) be the second derivative of j(i). Factor u(r).
-2*(r + 2)**3
Let i = 1241 - 1237. Let v(s) be the second derivative of 1/2*s**3 + 1/3*s**i - 3*s - 1/2*s**2 + 0. Factor v(d).
(d + 1)*(4*d - 1)
Let z be (-123)/(-20) - 22/(-88). Factor -z + 16*b - 2*b**4 + 8*b**3 + 1/5*b**5 - 16*b**2.
(b - 2)**5/5
Let y(d) = 4*d**2 + 28*d - 17. Let b(r) = 26*r**2 + 194*r - 120. Let s(o) = -3*b(o) + 20*y(o). Factor s(n).
2*(n - 10)*(n - 1)
Let k(z) be the second derivative of z**4/28 - 5*z**3/7 + 75*z**2/14 - 6*z + 2. Factor k(f).
3*(f - 5)**2/7
Let a(r) be the first derivative of -r**4 + 4*r**3/3 + 8*r**2 - 16*r - 77. Let a(v) = 0. Calculate v.
-2, 1, 2
Suppose 63*z + 76*z - 103*z - 72 = 0. Factor 3/4*t**2 - 7/2*t + z - 1/4*t**4 + t**3.
-(t - 4)*(t - 1)**2*(t + 2)/4
Let t = -3 - -12. Let r(i) = -i + t - 9. Let y(w) = -3*w**2 - 12*w + 9. Let x(d) = -6*r(d) + y(d). Factor x(c).
-3*(c - 1)*(c + 3)
Let z(r) be the second derivative of -12*r + 1/2*r**3 + 0 - 3/20*r**5 - 1/4*r**4 + 3/2*r**2. Let z(d) = 0. Calculate d.
-1, 1
Let s(v) be the second derivative of 0 + 1/147*v**7 + 2/105*v**6 + 1/70*v**5 + 0*v**3 + 0*v**4 + 0*v**2 + v. Let s(o) = 0. What is o?
-1, 0
Let c = 19072 + -19070. What is v in 8/3*v**3 + 32/9*v - 4/9*v**4 + 0 - 16/3*v**c = 0?
0, 2
Let q(d) be the third derivative of 0*d**4 + 0*d**3 + 15*d**2 + 0 + 0*d + 1/40*d**6 - 1/120*d**5 - 1/84*d**7. Factor q(l).
-l**2*(l - 1)*(5*l - 1)/2
Let a = 3289 - 3286. Let -6/7 - 52/7*r**2 + 32/7*r - 6/7*r**4 + 32/7*r**a = 0. What is r?
1/3, 1, 3
Solve -7/3*i - 1/6*i**2 - 13/6 = 0 for i.
-13, -1
Let d be 2/5*((-30)/(-8))/(8415/660). Factor 0*r**3 + 0 + 0*r - 2/17*r**2 + d*r**4.
2*r**2*(r - 1)*(r + 1)/17
Let t(d) = 68*d**3 + 20*d**2 - 76*d - 72. Let v(b) = -b**4 + b**3 - 2*b**2 - b - 2. Let c(m) = t(m) - 12*v(m). What is f in c(f) = 0?
-3, -2, -2/3, 1
Suppose 4*k = c + 35, -k - 3*c = -5*k + 25. Suppose -4*f = -k*f + 12. Factor -3/5*g + 0*g**f + 1/5*g**3 + 2/5.
(g - 1)**2*(g + 2)/5
Let -147 + 78*l**2 + 636 - 798*l - 161 + 394 - 2*l**3 = 0. Calculate l.
1, 19
Let s(h) be the third derivative of 0*h + 2/75*h**5 + 0*h**4 + 0 + 0*h**6 - 5*h**2 - 2/525*h**7 - 2/15*h**3. Solve s(w) = 0.
-1, 1
Let u = 34 - 10. Let c = 30 - u. Factor 0*d - d**2 - 3 - 2*d + c.
-(d - 1)*(d + 3)
Let x(r) = r**3 - 7*r**2 - 8*r + 5. Let q be x(8). Factor 4*a**2 + 0 + 4*a - a**3 - q*a - 6.
-(a - 3)*(a - 2)*(a + 1)
Let i(g) = -15*g + 50. Let o be i(-14). Let r = o - 1296/5. Factor r*c**3 + 12/5*c**2 + 4/5 + 12/5*c.
4*(c + 1)**3/5
Suppose 6/7*y**4 - 68/7*y**3 - 72/7 + 166/7*y**2 + 24*y = 0. Calculate y.
-1, 1/3, 6
Let o = 11 + -7. Let l be (1/((-11)/2))/(1/(-11)). Factor -o*q**2 - q + l*q**2 + 3*q + q**2 - 1.
-(q - 1)**2
Let h(w) be the second derivative of w**8/4704 + w**7/2205 - w**6/2520 + 11*w**4/12 - 7*w. Let t(i) be the third derivative of h(i). What is r in t(r) = 0?
-1, 0, 1/5
Determine s, given that -8/17 + 80/17*s - 174/17*s**2 + 182/17*s**4 - 80/17*s**3 = 0.
-1, 2/13, 2/7, 1
Let n = 3299 - 3296. Factor 1/4*c**n + 2*c + 1 + 5/4*c**2.
(c + 1)*(c + 2)**2/4
Let w = 8388 - 8384. Factor -19/5*h**3 + 8/5 - 6/5*h**2 + 7/5*h**w + 28/5*h.
(h - 2)**2*(h + 1)*(7*h + 2)/5
Let y(v) be the second derivative of 7/3*v**3 - 3*v**2 - 1/5*v**5 + 6*v + 1/15*v**6 + 0 + 1/63*v**7 - 5/9*v**4. Factor y(p).
2*(p - 1)**3*(p + 3)**2/3
Factor 25*a**2 - 9*a - 42*a**3 - 18*a**4 - 2*a + 3*a - 80*a**4 + 23*a**2.
-2*a*(a + 1)*(7*a - 2)**2
Let f(r) be the first derivative of -r**9/6048 + r**8/3360 + r**7/1680 - r**6/720 + 5*r**3 - 6. Let i(k) be the third derivative of f(k). Solve i(z) = 0.
-1, 0, 1
Let x be (-6)/(-5 + 48/(-8)) - (-49)/(-231). Let -2 + 5/3*i - x*i**2 = 0. What is i?
2, 3
Solve 363/2*f**3 + 8 + 242/3*f + 722/3*f**2 + 27/2*f**4 = 0 for f.
-12, -1, -2/9
Let l(w) = -3*w**2 - 24*w - 40. Let m be l(-10). Let i = -100 - m. Find p such that 0 - 1/3*p**3 + i*p + 1/3*p**2 = 0.
0, 1
Let n(r) be the second derivative of 0 + 1/14*r**7 - 39*r + 2/3*r**4 + 0*r**2 + 1/2*r**3 - 4/15*r**6 - 3/10*r**5. What is v in n(v) = 0?
-1, -1/3, 0, 1, 3
Suppose -45 = -5*x - 4*x. Let g(b) be the second derivative of 5*b + 0*b**x + 0*b**3 + 1/42*b**4 - 1/105*b**6 + 0 + 0*b**2. Suppose g(c) = 0. Calculate c.
-1, 0, 1
Let m(r) be the first derivative of -39*r**4/28 - 40*r**3/7 - 9*r**2/14 - 184. Factor m(o).
-3*o*(o + 3)*(13*o + 1)/7
Factor 3*y**3 - 11*y + 42*y**2 + 3 - 10*y**2 - 20*y**2 - 7*y**2.
(y - 1)*(y + 3)*(3*y - 1)
Suppose 89*u - 87*u = 3*h + 2, -u = -4*h + 4. Factor -h*s - 3/2 + 2*s**3 + 1/2*s**4 + s**2.
(s - 1)*(s + 1)**2*(s + 3)/2
Let q(g) = -g**2 - 5*g + 8. Let b = -6 - -10. Let f(j) = -b*j**2 + 7 + 20 + 14 + 0*j**2 - 26*j. Let o(m) = -2*f(m) + 11*q(m). Factor o(k).
-3*(k - 1)*(k + 2)
Suppose 0 = -68*y + 44*y. Find o, given that y + 8/15*o**2 - 2/15*o**4 + 8/15*o - 2/15*o**3 = 0.
-2, -1, 0, 2
Let y(i) be the first derivative of -i**4/14 - 8*i**3/21 - 5*i**2/7 - 4*i/7 - 106. Factor y(z).
-2*(z + 1)**2*(z + 2)/7
Let g = -93 + 97. Factor 79*k - 21 + 18*k**3 + 12*k**3 - 3*k**g - 72*k**2 - 13*k + 0*k**4.
-3*(k - 7)*(k - 1)**3
Let f(x) be the first derivative of x**3/18 - 71*x**2/3 + 10082*x/3 + 22. Solve f(t) = 0.
142
Suppose 0*q + 5*q = 25. Factor -5*p**3 + 2*p**q + 2*p + 3*p**3 - 2*p.
2*p**3*(p - 1)*(p + 1)
Let l be (0/(-9))/(-4*2/(-4)). Let o(q) be the first derivative of 0*q + 4/3*q**3 - 9 - 7*q**4 + 49/5*q**5 + l*q**2. What is k in o(k) = 0?
0, 2/7
Let l(g) be the second derivative of 0 + 13*g + 3*g**2 - 1/6*g**4 + 2/3*g**3. What is q in l(q) = 0?
-1, 3
Let u(n) be the third derivative of 0 + 8*n**2 + 1/6*n**4 + 1/60*n**6 + 1/10*n**5 + 0*n**3 + 0*n. Factor u(y).
2*y*(y + 1)*(y + 2)
Let b(y) be the second derivative of -y**7/12600 - y**6/360 - y**5/24 + y**4/2 - 3*y. Let p(f) be the third derivative of b(f). Factor p(x).
-(x + 5)**2/5
Let c be (2025/(-125) - -19)*(-2 - -3). Let 26/5*r - 6*r**2 - 2/5*r**4 + c*r**3 - 8/5 = 0. What is r?
1, 4
Factor 6*d**3 + 51*d**2 + 57 + 55*d + 87*d - 16*d - 15*d - 9*d**3.
-3*(d - 19)*(d + 1)**2
Let d(w) = -9*w + 21. Let r be d(5). Let x = 27 + r. What is v in x*v**2 - 9*v + 4 + 2 + 0*v**2 + 0*v = 0?
1, 2
Let g(o) = -o**3 - 68*o**2 + 567*o - 1462. Let v(h) = -2*h**3 - 67*h**2 + 567*h - 1463. Let w(a) = -5*g(a) + 4*v(a). Find u such that w(u) = 0.
6, 9
Suppose -20 = 3*h - 4*c, 10*c - 20 = 4*h + 6*c. Factor -8/5*v**2 + h + 1/5*v**3 + 16/5*v.
v*(v - 4)**2/5
Let b(k) = k**3 + 7*k**2 + 6*k + 7. Let j be b(-6). Factor 0*d - 11*d**2 + 11*d**4 + 9*d**5 + d**3 - j*d**3 - 2*d - d**3.
d*(d - 1)*(d + 1)**2*(9*d + 2)
Suppose -34 - 2 = -6*i. Suppose 0 = -124*r + 122*r + i. Factor 0 - 4/3*k + 2/3*k**4 + 0*k**r - 2*k**2.
2*k*(k - 2)*(k + 1)**2/3
Suppose 7*r - 5 = 16. Let n(d) be the third derivative of 1/2*d**4 + r*d**2 + 0*d + 1/15*d**5 + 0 + 2/105*d**7 - 4/3*d**3 - 1/10*d**6. Factor n(z).
4*(z - 2)*(z - 1)**2*(z + 1)
Factor 6*f**3 + 18 - 1773*f**2 - 3*f**4 - 15*f**3 - 51*f + 1818*f**2.
-3*(f - 1)**3*(f + 6)
Let y(u) be the first derivative of u**6/39 - 8*u**5/65 - u**4/13 + 16*u**3/39 + u**2/13 - 8*u/13 - 141. Solve y(v) = 0 for v.
-1, 1, 4
Find n such that -63*n - 15*n**3 - 9/2*n**4 + 0 + 213/2*n**2 = 0.
-7, 0, 2/3, 3
Let j(c) be the third derivative of 0*c - c**2 + 3/40*c**5 + 1/80*c**6 + 0 - 1/16*c**4 - 3/4*c**3. Solve j(l) = 0.
-3, -1, 1
Let i(n) be the first derivative of 0*n - 14 + 5/3*n**3 - n**2 + 1/5*n**5 - n**4. Factor i(z).
z*(z - 2)*(z - 1)**2
Factor 10*i + 148*i**3 - 19*i - 144*i**3 - 3*i**2 - 2.
(i - 2)*(i + 1)*(4*i + 1)
Let u(f) be the second derivative of 6/5*f**2 + 3 - 1/20*f**4 + 2/5*f**3 - 3/100*f**5 - 8*f. Factor u(b).
-3*(b - 2)*(b + 1)*(b + 2)/5
Let f(p) be the first derivative of -2*p**6/15 + p**5/5 + p**4/6 - 2*p**2 - 1. Let s(w) be the second 