) be the third derivative of 0 + z**2 + 1/20*z**6 + l*z**5 + 0*z**4 + 0*z + 1/70*z**7 + 0*z**3. Factor y(f).
3*f**2*(f + 1)**2
Let m(z) = 36*z - 392. Let h be m(11). Factor 0*n**2 - 8/3 - h*n + 4/3*n**3.
4*(n - 2)*(n + 1)**2/3
Factor 24/11*b**3 - 12/11*b**4 + 2/11*b**5 + 0 - 16/11*b**2 + 0*b.
2*b**2*(b - 2)**3/11
Let p(o) be the first derivative of -2/15*o**5 + 5/6*o**4 + 8/3*o - 1/9*o**6 - 12 + 2/9*o**3 - 8/3*o**2. Factor p(k).
-2*(k - 1)**3*(k + 2)**2/3
Suppose 7 = 4*x - 5. Factor -7 - 2*s**2 + 9 - 3*s**2 + x.
-5*(s - 1)*(s + 1)
Let v = 62 - 35. Find w, given that v*w - 7*w**2 + 49*w**2 + 6*w**4 + 15*w**3 + 12*w**3 + 6 = 0.
-2, -1, -1/2
Let a(j) be the second derivative of j**4/54 + 25*j**3/27 - 6*j**2 - 322*j. Factor a(v).
2*(v - 2)*(v + 27)/9
Suppose -12 - 9 = -2*a + 3*f, 3*a + 5*f + 16 = 0. Factor 0 - 2/3*c + 2/3*c**a + 0*c**2.
2*c*(c - 1)*(c + 1)/3
Let i(t) be the second derivative of t**4/18 - 8*t**3/9 - 3*t**2 - 31*t. Solve i(q) = 0.
-1, 9
Let a(i) = -4*i**2 - 7*i - 4. Let y be a(-4). Let z = -29 - y. Factor -4*q**2 - z*q**2 + 0*q + 2*q - 5*q.
-3*q*(5*q + 1)
Suppose 0 = -5*w + 2*q + 116, 2*q + 22 = w + 2. Let o be 4/150*w*80/32. Suppose 8*p + 18/5*p**2 + o = 0. What is p?
-2, -2/9
Factor 38/3*i**2 - 4/3 + 34/3*i.
2*(i + 1)*(19*i - 2)/3
Let b = -3/65 + 16/65. Let y be -1*((-72)/(-12))/(-2). Factor 0*q + b*q**5 - 1/5*q**y + 0*q**4 + 0*q**2 + 0.
q**3*(q - 1)*(q + 1)/5
Let i(r) be the third derivative of 2/1155*r**7 + 0*r**3 - 1/165*r**6 + 1/616*r**8 + 1/132*r**4 + 0 + 0*r + 15*r**2 - 1/165*r**5. Let i(u) = 0. What is u?
-1, 0, 1/3, 1
Let a be (-3 + 9)*5*(-9)/(-90). Let o(d) be the third derivative of -2/3*d**a + 2/5*d**5 - 10*d**2 + 0*d + 5/6*d**4 + 0. Find v such that o(v) = 0.
-1, 1/6
Let x(z) be the second derivative of z**4/24 - z**3/12 - 3*z**2/2 + 138*z. Solve x(f) = 0.
-2, 3
Factor 72*l - 15*l + 2*l**3 + 16*l**2 - 19*l + 24.
2*(l + 1)*(l + 3)*(l + 4)
Let p(l) be the second derivative of -l**6/24 - 57*l**5/80 - 197*l**4/48 - 65*l**3/8 - 25*l**2/4 + 140*l. Let p(w) = 0. Calculate w.
-5, -1, -2/5
Let b(r) = r**2 - r + 1. Let i(g) = -5*g**2 - 18*g - 125. Let y(h) = 3*h**2 - 23*h + 4. Let x be y(8). Let j(c) = x*b(c) + 3*i(c). Factor j(n).
-3*(n + 11)**2
Let g(n) = -n**4 - n**3 + n. Let a(y) = 9*y**4 + 9*y**3 - 9*y**2 - 9*y + 6. Let t(h) = a(h) + 6*g(h). What is v in t(v) = 0?
-2, -1, 1
Let f = 3 - 27. Let n be f/(-10) + 6/10. Let -6 - 2*t**2 - n - 3*t**2 - 12*t + 2*t**2 = 0. Calculate t.
-3, -1
Let o(d) be the first derivative of 2/3*d**3 - 2/5*d**5 + 0*d - 3/2*d**4 + 1 + 3*d**2. Solve o(z) = 0.
-3, -1, 0, 1
Let z(s) = 2*s**2 + 3*s + 3. Suppose 3 = -4*y + y. Let w(k) = k**2 - k. Let h(p) = y*z(p) + w(p). Suppose h(q) = 0. What is q?
-3, -1
Let m(u) be the first derivative of -6*u**5/5 - 14*u**4 + 14*u**3 + 10*u**2 + 168. Let m(j) = 0. Calculate j.
-10, -1/3, 0, 1
Let s(c) = -c**2 + c - 1. Let j(d) = d**3 + d**2 + 2. Let g be j(-2). Let t(i) = 4*i**2 + 10*i + 20. Let r(y) = g*t(y) - 4*s(y). Factor r(z).
-4*(z + 3)**2
Let l be (-22)/(-407) - (-561)/1258. Let -1/2*a**3 + 1/2 + 1/2*a - l*a**2 = 0. What is a?
-1, 1
Suppose -75 = -28*c + 13*c. Let j(w) be the first derivative of -c - 9/2*w**2 + w**3 + 6*w. Let j(i) = 0. Calculate i.
1, 2
Let c(u) be the first derivative of -u**8/2352 - u**7/490 - u**6/280 - u**5/420 + 3*u**2/2 + 5. Let a(w) be the second derivative of c(w). Factor a(o).
-o**2*(o + 1)**3/7
Let g = -258 - -261. Let d(v) be the second derivative of -g*v + 0 - 5/9*v**3 - 2/3*v**2 + 1/15*v**5 - 1/18*v**4. Find n, given that d(n) = 0.
-1, -1/2, 2
Let d(f) = -21*f**3 + 23*f**2 + 2*f + 3. Let w(g) = 102*g**3 - 117*g**2 - 12*g - 14. Let z(c) = 14*d(c) + 3*w(c). Solve z(j) = 0 for j.
-1/4, 0, 8/3
Let x(w) = w**2 - w + 6. Let p be x(6). Let h be (-2)/6 + 12/p. What is j in h*j**2 + 1/4 - 1/2*j - 1/4*j**4 + 1/2*j**3 = 0?
-1, 1
Let m be 1/4 - 1169/(-28). Let r be ((-20)/(-45))/(m/27). Factor -8/7*n + r*n**2 + 8/7.
2*(n - 2)**2/7
Factor -52/3*t - 338/3 - 2/3*t**2.
-2*(t + 13)**2/3
Let x(s) be the second derivative of -s**5/45 + 7*s**4/9 - 98*s**3/9 - 6*s**2 + 17*s. Let j(w) be the first derivative of x(w). Factor j(i).
-4*(i - 7)**2/3
Let p be 12859/3006 - (0 + (-4)/18). Let p - 5/2*b**2 - 1/2*b**3 - 3/2*b = 0. What is b?
-3, 1
Let u(j) be the first derivative of 1/11*j**3 + 1/55*j**5 + 10 - 1/22*j**2 + 0*j - 3/44*j**4. Factor u(x).
x*(x - 1)**3/11
Let v(u) be the first derivative of 3 + 2*u**5 + 9/2*u**4 + 0*u + 14/3*u**3 + 1/3*u**6 + 2*u**2. Factor v(j).
2*j*(j + 1)**3*(j + 2)
Let j(u) be the second derivative of -33/5*u**6 - 6*u**4 + 0*u**2 - 231/25*u**5 + 26*u - 8/5*u**3 - 9/5*u**7 + 0. Determine r, given that j(r) = 0.
-1, -2/3, -2/7, 0
Let x = 28819/6 + -4684. Let z = -119 + x. Suppose z*l**3 + 0*l + 2/3 - 1/2*l**2 = 0. Calculate l.
-1, 2
Let q(x) be the second derivative of 3*x**4 + 8/15*x**6 + 11/5*x**5 + 0 - 2*x**2 + 2/3*x**3 + 13*x. Determine i so that q(i) = 0.
-1, 1/4
Factor 0 + 1/7*i**2 + 1/7*i**3 - 1/7*i - 1/7*i**4.
-i*(i - 1)**2*(i + 1)/7
Let s(a) be the third derivative of 0*a**3 - 1/105*a**7 + 0*a**4 + 0 - 1/30*a**6 - 5*a**2 + 1/168*a**8 + 0*a**5 + 0*a. Factor s(z).
2*z**3*(z - 2)*(z + 1)
Let t = 1073/5 - 214. Let u be (198/275)/(((-4)/5)/(-2)). Factor -t*l**2 + u*l - 6/5.
-3*(l - 2)*(l - 1)/5
Let j(i) = -5*i**3 - 30*i**2 - 21*i + 8. Let w(t) = -128*t**2 - 190*t - 26*t**3 + 72 - 28*t**3 - 142*t**2 + 8*t**3. Let s(u) = -52*j(u) + 6*w(u). Factor s(g).
-4*(g + 2)**2*(4*g - 1)
Let t = 10954 - 32846/3. Let -14/3*q**2 - t*q + 32/3 - 2/3*q**3 = 0. What is q?
-4, 1
Let b(h) = h**2 - h. Let r(d) be the third derivative of d**6/120 - d**5/30 + d**4/3 + d**3/6 + 15*d**2. Let s(i) = -15*b(i) - 3*r(i). Factor s(w).
-3*(w + 1)**3
Let d(z) be the second derivative of -z**6/8 + 21*z**5/80 - z**4/8 + 12*z + 6. Factor d(y).
-3*y**2*(y - 1)*(5*y - 2)/4
Let x(a) = a**3 - 7*a**2 + 4*a + 12. Let b be x(6). Factor b*d**2 + 4*d**2 + 2*d**2 - 4*d**2.
2*d**2
Let q(p) be the third derivative of -p**5/360 - 17*p**4/144 - 13*p**3/9 + 208*p**2 - 2*p. Find t, given that q(t) = 0.
-13, -4
Let y(z) be the third derivative of z**6/90 - z**5/15 - z**4/2 + 5*z**3/6 + 18*z**2. Let v(m) be the first derivative of y(m). Factor v(h).
4*(h - 3)*(h + 1)
Suppose 3*r - c - 35 = 0, r - 2*c - 2*c = -3. Factor 8*a + 2 + 1 + r - 9 + a**2.
(a + 1)*(a + 7)
Let m(a) be the first derivative of a**6/21 + 6*a**5/7 + 40*a**4/7 + 320*a**3/21 - 512*a/7 + 51. Factor m(o).
2*(o - 1)*(o + 4)**4/7
Let k(c) be the third derivative of 1/135*c**6 + 0 + 1/30*c**5 + 1/18*c**4 + 0*c + 1/27*c**3 + 36*c**2. Factor k(j).
2*(j + 1)**2*(4*j + 1)/9
Factor 0 - 32*j**3 - 4/3*j**4 + 0*j**2 + 0*j.
-4*j**3*(j + 24)/3
Let a(n) be the second derivative of -1/40*n**5 + 33*n + 0*n**4 + 0 + 0*n**2 + 0*n**6 + 1/84*n**7 + 0*n**3. Find t, given that a(t) = 0.
-1, 0, 1
Let t be (0 - 20/(-6))/((-562)/(-843)). Suppose 0 - 2/7*d**4 + 0*d**2 + 1/7*d**t + 0*d + 1/7*d**3 = 0. What is d?
0, 1
Suppose -38 + 32 - 21*u + 111 - 5*u**2 + 4*u - 3*u = 0. What is u?
-7, 3
Let u(n) be the first derivative of 5 - 34/9*n**3 + 8/3*n - 7/4*n**4 + 10/3*n**2. Suppose u(v) = 0. What is v?
-2, -2/7, 2/3
Let t(f) be the third derivative of 52*f**2 - 1/840*f**8 - 3/350*f**7 + 0*f**3 + 0 - 3/200*f**6 + 1/40*f**4 + 0*f + 1/300*f**5. Let t(a) = 0. Calculate a.
-3, -1, 0, 1/2
Let b(d) be the first derivative of d**7/28 - 3*d**6/20 - 3*d**5/40 + 3*d**4/8 + 13*d - 22. Let h(v) be the first derivative of b(v). Let h(f) = 0. What is f?
-1, 0, 1, 3
Factor 12/5*j**3 + 8/5*j + 4/5*j**4 + 0 - 4/5*j**5 - 4*j**2.
-4*j*(j - 1)**3*(j + 2)/5
Suppose 15*d = -73 + 103. What is p in 1/3*p + 0 - 1/6*p**d = 0?
0, 2
Let z(f) be the first derivative of -343*f**6/36 + 2254*f**5/15 + 168*f**4 + 584*f**3/9 + 28*f**2/3 + 56. Factor z(n).
-n*(n - 14)*(7*n + 2)**3/6
Let a = 4353/4 + -1088. Let j(l) be the first derivative of a*l**4 + 1/2*l**6 + 0*l - 11 + l**5 - 1/3*l**3 + 0*l**2. Factor j(o).
o**2*(o + 1)**2*(3*o - 1)
Find d, given that -27*d**3 - 14*d**2 - d**3 + 30*d**3 = 0.
0, 7
Let d(g) be the first derivative of -g**7/420 - g**6/120 + g**5/120 + g**4/24 - 11*g**2/2 - 4. Let j(s) be the second derivative of d(s). Factor j(x).
-x*(x - 1)*(x + 1)*(x + 2)/2
Let h(x) be the second derivative of 11*x**4/54 + 46*x**3/27 + 8*x**2/9 - 4*x - 2. Factor h(l).
2*(