*(-11 - -5). Let f(a) be the first derivative of 0*a**s + 0*a**2 + 0*a - 1/12*a**6 + 1/8*a**4 + 0*a**5 + 11. Factor f(z).
-z**3*(z - 1)*(z + 1)/2
Let l(g) be the first derivative of -1/60*g**4 - 1/30*g**3 - 3*g + 1/50*g**5 + 0*g**2 - 3. Let u(z) be the first derivative of l(z). Factor u(j).
j*(j - 1)*(2*j + 1)/5
Let d(j) = -j**3 - 16*j**2 + 3*j + 52. Let w be d(-16). Let r(a) be the second derivative of -3*a**2 + 0 + 1/2*a**3 + 1/4*a**w + 5*a. Let r(n) = 0. Calculate n.
-2, 1
Let t(z) be the third derivative of 361*z**5/300 - 38*z**4/5 + 96*z**3/5 - 384*z**2 + z. Suppose t(f) = 0. What is f?
24/19
Factor 330/7 + 48*t + 6/7*t**2.
6*(t + 1)*(t + 55)/7
Let c(y) = 10*y - 308. Let n be c(31). Let r(f) be the first derivative of -12/5*f**n - 1/2*f**4 + 16/5*f - 11 - 12/5*f**3. Solve r(w) = 0 for w.
-2, 2/5
Let p(b) = b**3 + 25*b**2 + b + 59. Let m be p(-25). Let c = -32 + m. Factor 1/9*i + 0*i**4 - 2/9*i**3 + 0*i**c + 1/9*i**5 + 0.
i*(i - 1)**2*(i + 1)**2/9
Factor -13*s**2 - 77*s**2 + 8*s**3 - 3*s**3.
5*s**2*(s - 18)
Let m(b) be the third derivative of b**7/140 + 3*b**6/80 + 3*b**5/40 + b**4/16 + 23*b**2 + 2*b. Factor m(k).
3*k*(k + 1)**3/2
Let r(g) be the third derivative of 0*g + 1/480*g**6 + 0 - 1/280*g**7 - 1/48*g**4 + 1/80*g**5 + 9*g**2 + 0*g**3 + 1/1344*g**8. Factor r(m).
m*(m - 2)*(m - 1)**2*(m + 1)/4
Let y(l) be the first derivative of l**3 + 6*l**2 + 12*l + 7. Solve y(c) = 0.
-2
Let b(c) be the second derivative of c**6/50 - c**5/50 - c**4/60 - 3*c - 10. Determine t so that b(t) = 0.
-1/3, 0, 1
Let p = 7883/120 + -517/8. What is o in -2/15*o**2 - 32/15 + p*o = 0?
4
Let g be ((-6)/(-72))/(5/20). Determine x so that -g*x**2 + 0 - 4/3*x = 0.
-4, 0
Let c(l) = 23*l + 11. Let i be c(5). Let u be 208/i - (4/(-9))/(-2). Find d such that 8/7*d**2 - u*d - 2/7*d**3 + 4/7 = 0.
1, 2
Suppose -5*p + 6*p = 2, 3*t = 3*p + 33. Suppose -t*q = -34 - 18. Factor 2*v**2 + 14/9*v + 10/9*v**3 + 2/9*v**q + 4/9.
2*(v + 1)**3*(v + 2)/9
Factor 10/13*c**3 + 72/13*c**2 + 0 + 14/13*c.
2*c*(c + 7)*(5*c + 1)/13
Suppose 0 = -13*u + 254 + 110. Let n be (-4)/(-24) + u/(-240)*-2. Factor -2/5 + 4/5*l**2 - n*l**4 + 4/5*l**3 - 2/5*l**5 - 2/5*l.
-2*(l - 1)**2*(l + 1)**3/5
Let a = 9 + -7. Suppose -2*m = 2*h + 10, 3*h + 2*m + 11 - 1 = 0. Determine d, given that -1/2*d - d**a + h = 0.
-1/2, 0
Let t(i) = 100*i**3 - 645*i**2 + 2085*i - 1455. Let d(f) = -7*f**3 + 46*f**2 - 149*f + 104. Let v(o) = -85*d(o) - 6*t(o). Factor v(g).
-5*(g - 2)*(g - 1)*(g + 11)
Let q(p) = -p + 2 + 3 + 7*p - 9*p**2 - 2. Let a(z) = z**3 - 8*z**2 + 5*z + 2. Let n(d) = 3*a(d) - 2*q(d). Factor n(b).
3*b*(b - 1)**2
Let v be 0 + (-108)/(-30) + 6/15. Let p(z) be the third derivative of 1/3*z**v - 1/15*z**5 + 0*z**3 + 6*z**2 + 0 + 0*z. Factor p(c).
-4*c*(c - 2)
Let h(g) be the third derivative of 0*g**3 + 22*g**2 + 0 + 1/10*g**5 + 1/2*g**4 + 1/160*g**6 + 0*g. Let h(b) = 0. Calculate b.
-4, 0
Let b(k) = -k**3 - 20*k**2 - 35*k + 20. Let s be b(-18). Suppose -2*t = 4*f - 8*f + 4, -2*f = -2*t - s. Determine g, given that t - 5/4*g**2 + 1/4*g**3 + g = 0.
0, 1, 4
Let o(t) be the first derivative of -3*t**5 - 5*t**4/2 + 5*t**3/3 - 74. Let o(q) = 0. Calculate q.
-1, 0, 1/3
Let o(s) be the third derivative of s**10/317520 + s**9/158760 - s**8/35280 - s**4 - 3*s**2. Let y(z) be the second derivative of o(z). Factor y(a).
2*a**3*(a - 1)*(a + 2)/21
Suppose 12 = -4*b, 0*g - g - 4*b - 7 = 0. Let -8*p**3 + 5*p**5 - 7*p**g - 8*p**4 + 0*p**3 = 0. Calculate p.
-2, 0
Let a = -19/1589191 - -2968642855/2849419463. Let j = a + 8/163. Find n, given that -j*n - 18/11 - 2/11*n**2 = 0.
-3
Let t(j) be the first derivative of 7*j**6/60 - 19*j**5/40 + j**4/3 + j**3/3 + 6*j + 9. Let u(a) be the first derivative of t(a). Solve u(h) = 0 for h.
-2/7, 0, 1, 2
Suppose -h = -i - 5, -28*i + 16 = 5*h - 30*i. Let a be -15 + 14 + (-34)/(-18). Factor 2/3*y**h + 0*y - a + 2/9*y**3.
2*(y - 1)*(y + 2)**2/9
Let u(a) be the second derivative of 0*a**4 + 0*a**3 - 1/240*a**6 + 1/336*a**7 + 0*a**5 + 0 - 3*a + 0*a**2. Let u(v) = 0. What is v?
0, 1
Let x = 6 + 22. Factor w**2 + 18 + x - 14*w + 3.
(w - 7)**2
Suppose 2*j = -2*j + 2*i + 22, 0 = 5*j + i - 10. Find v such that 0*v**2 + 0 + 1/5*v**j - 1/5*v = 0.
-1, 0, 1
Let c(t) = -2 + 4*t**2 + 2*t**3 - 23*t + 23*t. Let f = -18 - -7. Let o(n) = n**5 + n**4 + 10*n**3 + 21*n**2 - 11. Let w(u) = f*c(u) + 2*o(u). Factor w(p).
2*p**2*(p - 1)*(p + 1)**2
Let x = -15196 - -61393/4. Let w = x - 151. What is r in -r + 9/2*r**4 + 0 + w*r**5 + 17/4*r**3 + 0*r**2 = 0?
-2, -1, 0, 2/5
Let o(w) be the second derivative of -2/15*w**4 + 0 + 14/15*w**3 - 6*w - 8/5*w**2 - 1/25*w**5. Find b such that o(b) = 0.
-4, 1
Let t(j) be the first derivative of 4/5*j**5 + 14 - 2*j**4 + 12*j + 4*j**2 - 16/3*j**3. Factor t(l).
4*(l - 3)*(l - 1)*(l + 1)**2
Suppose 187/5*g - 363/5 - 5*g**2 + 1/5*g**3 = 0. What is g?
3, 11
Let c(f) = -4*f**2 - 4*f - 12. Suppose -u = -2*n + 2*u + 32, 3*u + 2 = -n. Let m(y) = -y**2 - y - 4. Let s(k) = n*m(k) - 3*c(k). Factor s(r).
2*(r - 1)*(r + 2)
Let s(x) be the second derivative of -x**7/5040 - x**6/240 - x**5/48 - 2*x**4/3 - x. Let i(u) be the third derivative of s(u). What is o in i(o) = 0?
-5, -1
Let u(h) be the first derivative of -195*h**3 - 219*h**2/2 + 6*h - 56. Suppose u(z) = 0. Calculate z.
-2/5, 1/39
Factor 56*o + 6*o**2 + 71*o**3 - 136*o**3 + 67*o**3 + 16*o**2.
2*o*(o + 4)*(o + 7)
Let j(d) = d**2 - 6*d + 5. Let b be j(6). Find q such that 6*q**4 - 6*q**2 - 2*q**5 + 4*q**4 + 3*q - q**b - 4*q**4 = 0.
-1, 0, 1
Suppose 5*c = 3*c - 15*c. Let j(z) be the third derivative of 2/3*z**3 + 2/45*z**6 - 1/9*z**5 - 1/9*z**4 + 0*z + 6*z**2 + c. Factor j(a).
4*(a - 1)**2*(4*a + 3)/3
Find x such that -6114*x - 6149*x + x**2 + 12323*x + 900 = 0.
-30
Suppose -5*m + 8 = -4*i, 5*i - 2 + 3 = 4*m. Factor 8*q**4 - 8*q - 6*q**2 + i*q + 7*q.
2*q*(q + 1)*(2*q - 1)**2
Let l(i) be the third derivative of i**4/24 + 4*i**3 + 2*i**2 - 9. Let t be l(-22). Factor -12/7 + 48/7*c + 27/7*c**t.
3*(c + 2)*(9*c - 2)/7
Let m = -131 - -89. Let h be 2*(-6)/7*m/24. Let 2/9*b - 2/9*b**h - 4/9 + 4/9*b**2 = 0. What is b?
-1, 1, 2
Let g(f) be the first derivative of -1/10*f**5 - 1/10*f - 3/5*f**3 - 2/5*f**4 + 6 - 2/5*f**2. What is x in g(x) = 0?
-1, -1/5
Let h(v) = v**3 + 4*v + 1. Let m(d) = d. Let k(a) = h(a) - 4*m(a). Let n(p) = -7*p**3 + 8*p**2 - 4*p - 3. Let g(y) = -3*k(y) - n(y). Factor g(f).
4*f*(f - 1)**2
Let q be (-63)/(-132)*2 + 288/528. Factor -9/8 + 6*l - 51/8*l**2 + q*l**3.
3*(l - 3)*(l - 1)*(4*l - 1)/8
Let t(c) = -c - 5. Let u be t(-7). Let l be (u/(-30))/(-3*4/72). Determine h, given that 4/5*h + l + 2/5*h**2 = 0.
-1
Let v(p) = -2*p**2 + 1. Let f(o) = -15*o**2 + 70*o - 60. Let u(n) = -f(n) + 5*v(n). Factor u(k).
5*(k - 13)*(k - 1)
Let s(k) be the third derivative of -1/336*k**8 + 1/120*k**6 - 1/60*k**5 + 1/210*k**7 + 53*k**2 + 0*k**3 + 0*k**4 + 0 + 0*k. Factor s(z).
-z**2*(z - 1)**2*(z + 1)
Factor -8/3 + 2/3*d**2 + 2/9*d**3 - 8/9*d.
2*(d - 2)*(d + 2)*(d + 3)/9
Factor 166/17 + 164/17*y - 2/17*y**2.
-2*(y - 83)*(y + 1)/17
Let y be 12/(-30) - 22/(-5). Suppose -y*t + 9 = -3. Factor 0 + 6/7*d**4 + 0*d + 6/7*d**t + 2/7*d**5 + 2/7*d**2.
2*d**2*(d + 1)**3/7
Let k(i) be the third derivative of 0*i + 1/15*i**7 + 0*i**3 + 0 + 7/60*i**6 + 1/84*i**8 + 0*i**4 - 3*i**2 + 1/15*i**5. Determine d so that k(d) = 0.
-2, -1, -1/2, 0
Suppose -78 = -30*i + 17*i. Let m(u) be the first derivative of 2/11*u**5 + 10 + 2/11*u + 20/33*u**3 - 5/11*u**2 - 5/11*u**4 - 1/33*u**i. Factor m(x).
-2*(x - 1)**5/11
Let h(s) be the second derivative of -s**7/210 - 3*s**6/50 + 9*s**5/25 + 138*s + 2. Factor h(n).
-n**3*(n - 3)*(n + 12)/5
Let s(w) = -1447*w**4 + w**3 + 0*w + 1448*w**4 - w**2 - w. Let c(i) = -20*i**4 - 20*i**3 + 40*i. Let y(j) = -c(j) - 25*s(j). Factor y(p).
-5*p*(p - 1)**2*(p + 3)
Let d(i) = -4*i**3 + 20*i**2 - 52*i + 32. Let v(y) = -5*y - y**2 + 0*y + 4*y. Let w(u) = d(u) - 4*v(u). Suppose w(k) = 0. Calculate k.
2
Factor 36/7 + 3/7*f**3 - 3*f**2 + 12/7*f.
3*(f - 6)*(f - 2)*(f + 1)/7
Let b(c) be the first derivative of 48 - 1/3*c**3 + 0*c**2 - 1/8*c**4 + 0*c. Factor b(j).
-j**2*(j + 2)/2
Let p = -573/2 + 288. Let a(s) be the first derivative of -5 + s**3 - 6*s + p*s**2. Factor a(j).
3*(j - 1)*(j + 2)
Factor -11*r - 17*r + 731 + 3*r + 30*r**2 - 731 - 5*r**3.
-5*r*(r - 