econd derivative of 2/21*p**3 + 2*p + 0 + 0*p**n + 1/70*p**5 - 1/14*p**4. Factor l(c).
2*c*(c - 2)*(c - 1)/7
Find d, given that 2*d**3 + 9*d**4 - 2*d**3 - 8*d**4 = 0.
0
Let k be (-6 + 2)/(-2) - 70/(-28). Factor 5/2*y**3 - 1 + k*y - 6*y**2.
(y - 1)**2*(5*y - 2)/2
Let m(k) be the third derivative of -k**8/171360 - k**7/14280 - k**6/3060 - 11*k**5/60 + 2*k**2. Let l(w) be the third derivative of m(w). Solve l(x) = 0.
-2, -1
Suppose 16*z = 8*z + 32. Let n(i) be the first derivative of -1/2*i**2 - 2/3*i**3 + 1 - 1/6*i**6 + 1/2*i**z + 1/5*i**5 + i. Factor n(w).
-(w - 1)**3*(w + 1)**2
Let i(b) be the third derivative of 0*b + 1/36*b**4 + 0*b**3 - 9*b**2 + 1/90*b**5 + 0. Factor i(o).
2*o*(o + 1)/3
Let f = -31 - -33. Let t(z) be the first derivative of 0*z**f + 0*z + 3 + 0*z**4 + 1/5*z**5 + 0*z**3. Determine d, given that t(d) = 0.
0
Let k(l) be the third derivative of -1/360*l**6 - 3*l**2 + 0*l**3 + 0*l**5 + 0 + 0*l + 0*l**4. What is m in k(m) = 0?
0
Let k(w) be the third derivative of -w**9/241920 + w**8/26880 - w**7/10080 + w**5/10 + 8*w**2. Let a(o) be the third derivative of k(o). What is y in a(y) = 0?
0, 1, 2
Let y(c) be the third derivative of c**7/2940 - c**6/1260 - 5*c**3/6 + 5*c**2. Let t(j) be the first derivative of y(j). Factor t(g).
2*g**2*(g - 1)/7
Let v = -17600 - -1161701/66. Let p = v - 1/33. Factor p*u + 1/2*u**2 + 1.
(u + 1)*(u + 2)/2
Factor -55 - 26*a - 4*a**2 - 9 - 6*a.
-4*(a + 4)**2
Let a = -5 + 5. Let w(z) be the third derivative of -7/360*z**6 + a*z + 0 + 0*z**4 - 1/90*z**5 + 0*z**3 - z**2. Factor w(r).
-r**2*(7*r + 2)/3
Let t = 11 - 7. Let g be 50/(4*6/t). Factor 16/3*r + 7/3*r**4 + 19/3*r**3 + g*r**2 + 4/3 + 1/3*r**5.
(r + 1)**3*(r + 2)**2/3
Suppose -5*s - 5*d = -10, -1 - 1 = -s - 4*d. Let p(x) be the third derivative of 0*x**3 - 2*x**s + 0*x**5 - 1/24*x**4 + 1/120*x**6 + 0 + 0*x. Factor p(w).
w*(w - 1)*(w + 1)
Suppose -2*k + 4*x = -3*k - 13, -5*k - x + 11 = 0. Factor 18/7*t**k + 0 + 4/7*t**2 + 0*t.
2*t**2*(9*t + 2)/7
Let v = -66 + 68. Let m(a) be the second derivative of -1/10*a**5 + 0 + 1/3*a**4 - 1/3*a**3 + 0*a**2 - v*a. Determine p, given that m(p) = 0.
0, 1
Let d(t) = -5*t**3 - t + 2. Let j(v) = -9*v**3 - v + 3. Let o(n) = 7*d(n) - 4*j(n). Factor o(x).
(x - 1)**2*(x + 2)
Factor -35*l**4 + 15*l**5 - 7*l**2 + 9*l**2 + 12*l**3 - 7*l**2 + 13*l**3.
5*l**2*(l - 1)**2*(3*l - 1)
Suppose 39 = -3*o + 54. Let c(d) be the second derivative of -1/80*d**o - 1/120*d**6 + 3*d + 0 + 0*d**2 + 1/24*d**4 + 0*d**3. Factor c(g).
-g**2*(g - 1)*(g + 2)/4
Let r(a) be the third derivative of a**6/36 + a**5/45 - 3*a**2. Find u such that r(u) = 0.
-2/5, 0
Suppose -3*x - 3*k - 369 = -6*k, -256 = 2*x - 4*k. Let p = x + 598/5. Let -8/5 - p*r - 2/5*r**2 = 0. What is r?
-2
Determine r so that 199*r**3 - 48*r - 82*r**3 - 6*r**4 + 6*r**5 - 45*r**4 - 24*r**2 = 0.
-1/2, 0, 1, 4
Let k(g) = -13*g**2 + 25*g - 5. Let w(l) = 6*l**2 - 12*l + 3. Let m(f) = -3*k(f) - 7*w(f). Factor m(t).
-3*(t - 2)*(t - 1)
Let u = 547 - 544. Factor 2/7*g**2 - 1/7 + 1/7*g - 1/7*g**4 - 2/7*g**u + 1/7*g**5.
(g - 1)**3*(g + 1)**2/7
Suppose -3*o - o + 8 = 0. Let p be 4/(-18) + 10/18. Suppose j + p*j**o + 2/3 = 0. What is j?
-2, -1
Let x = 497 - 495. Factor -2/11*i**x + 0 + 2/11*i**3 + 0*i.
2*i**2*(i - 1)/11
Let q be 7/9 + 2/9. Suppose q - 1 + 2 - 2*l**2 = 0. What is l?
-1, 1
Factor 0 + 3/4*t**2 - 9/4*t.
3*t*(t - 3)/4
Let t be ((-32)/80)/(4/(-5)). Let f = 21 - 83/4. Determine l so that -f*l**2 - 1/4*l + t = 0.
-2, 1
Determine w, given that -2 + 2 + 10*w + 5*w**2 = 0.
-2, 0
Let a(p) be the first derivative of p**6/240 + p**5/60 - p**4/48 - p**3/6 - 3*p**2/2 + 1. Let d(i) be the second derivative of a(i). Factor d(t).
(t - 1)*(t + 1)*(t + 2)/2
Suppose 4 + 0 = 2*i. Let a = -2 - -4. Determine q so that 2*q + 2*q**i - 5*q + a*q - 2*q**4 + q**5 = 0.
-1, 0, 1
Let z(y) be the second derivative of 0 + 1/30*y**6 + 0*y**2 - 1/12*y**4 - 2*y + 1/20*y**5 - 1/6*y**3. Factor z(p).
p*(p - 1)*(p + 1)**2
Let o be (2 + -17)*15/(-75). Factor -1/7*z**2 + 1/7 + 1/7*z**o - 1/7*z.
(z - 1)**2*(z + 1)/7
Let l(q) = -q**2 + 7*q - 2. Let a be l(6). Suppose a*m - 10 = -m. Solve -5*z**2 + 5*z**m + z**4 - z**5 = 0 for z.
0, 1
Suppose -l + 5 = -s - 2*s, -5 = -2*s - l. Suppose u + s + 6 = b, -2*u = -b + 7. Factor -2*i**b + 2*i**4 - 2*i**2 - i + i + 2*i**3.
-2*i**2*(i - 1)**2*(i + 1)
Let f be (-3)/5 + 6/(-15). Let c be -4*(0 - f)/(-2). Solve 0 - 2/5*b**4 + 2/5*b**c + 2/5*b**5 + 0*b - 2/5*b**3 = 0 for b.
-1, 0, 1
Let f = 2 - 0. Suppose -f*u = 2 - 6. Find x, given that 1/2*x**2 + 2 + u*x = 0.
-2
Factor -2/7*h**2 + 2/7*h + 0.
-2*h*(h - 1)/7
Let l(d) be the first derivative of 32*d**2 + 16*d**3 + 4*d**4 + 2/5*d**5 + 32*d - 3. Factor l(i).
2*(i + 2)**4
Let o = 42 + -40. What is h in -1/4*h**o - 1 + h = 0?
2
Let q(d) be the first derivative of -d**4/2 - 2*d**3/3 + 3. Factor q(t).
-2*t**2*(t + 1)
Let m(l) be the second derivative of -l**6/6 + l**5/2 + 5*l**4/4 - 10*l**3/3 - 10*l**2 - l. Determine b, given that m(b) = 0.
-1, 2
Let c = 996 + -996. Factor -1/4*x**2 - 3/4*x**3 + c + 1/4*x**5 + 1/2*x + 1/4*x**4.
x*(x - 1)**2*(x + 1)*(x + 2)/4
Let g(m) = -2 + m**4 + 2 + 1. Let j(d) = -d**4 + 3*d**3 - 4. Let w(u) = 4*g(u) + j(u). Suppose w(l) = 0. Calculate l.
-1, 0
Let g(p) = -p**3 - 2*p**2 - p + 2. Let m be g(-2). Let u be 3*(20/(-15) - -2). Factor 2/3*w + 32/3*w**5 - 20/3*w**u + 0 - 80/3*w**m + 22*w**3.
2*w*(w - 1)**2*(4*w - 1)**2/3
Let b(x) be the second derivative of -x**4/9 + 2*x**3/3 - 3*x**2/2 - 25*x. Solve b(k) = 0 for k.
3/2
Let 0*n**3 + 15*n**3 - 15*n**4 + 260*n**2 - 265*n**2 + 5*n**5 = 0. Calculate n.
0, 1
Let p(w) be the third derivative of -w**8/35280 + w**7/1470 - w**6/140 + w**5/10 - w**2. Let g(c) be the third derivative of p(c). Factor g(i).
-4*(i - 3)**2/7
Factor -5/3*q**5 - 5/3 - 10/3*q**3 + 5*q**4 - 10/3*q**2 + 5*q.
-5*(q - 1)**4*(q + 1)/3
Suppose -7*z = -2*z. Let v(q) be the second derivative of 1/60*q**5 - 1/45*q**6 + z*q**2 + 1/126*q**7 + 0*q**3 - 3*q + 0 + 0*q**4. Find u such that v(u) = 0.
0, 1
Let o(d) be the third derivative of 0*d + 0*d**3 + 0*d**5 - 4*d**2 - 3/20*d**6 + 0 + 1/3*d**4. Factor o(p).
-2*p*(3*p - 2)*(3*p + 2)
Let a(d) be the third derivative of -2/3*d**3 + 0*d - 1/160*d**5 + 0 + 1/48*d**4 + 1/1440*d**6 + 4*d**2. Let w(c) be the first derivative of a(c). Factor w(k).
(k - 2)*(k - 1)/4
Let o(a) = 8*a - 72. Let k be o(9). Solve -9/2*x**3 + k*x + 7/2*x**4 + 0 + x**2 = 0.
0, 2/7, 1
Let b(x) be the first derivative of 9*x**4/4 - 8*x**3 - 9*x**2/2 + 11. Suppose b(p) = 0. What is p?
-1/3, 0, 3
Suppose 0 = 2*b + 4*q + 20, -2*q = b - 3*q - 5. Let 3/8*o**4 + b - 1/2*o**2 + 1/2*o**3 + 0*o = 0. Calculate o.
-2, 0, 2/3
Let p = 0 + 2. Let z be ((-6)/4)/(3/(-4)). Let p - 2*u**z - 4 + 0*u + 4*u = 0. Calculate u.
1
Let z(j) = 6*j**2 - 20*j + 18. Let n(f) = f**2 - f + 1. Let b(a) = 4*n(a) - z(a). Determine v so that b(v) = 0.
1, 7
Let z(k) be the second derivative of 0 + 0*k**2 + 0*k**4 + 3/20*k**5 - k - 1/2*k**3. Factor z(i).
3*i*(i - 1)*(i + 1)
Let q(t) = -t**2 - 4 + 7*t - 4 + 1. Let o be q(7). Let x(p) = -2*p**2 + 12*p + 2. Let a(l) = -2*l**2 + 13*l + 3. Let f(s) = o*x(s) + 6*a(s). Factor f(m).
2*(m - 2)*(m - 1)
Let n = -49 + 53. Let z(s) be the first derivative of 3 + 1/16*s**n + 1/20*s**5 - 1/8*s**2 - 1/12*s**3 + 0*s. Solve z(h) = 0 for h.
-1, 0, 1
Let c(s) = 5*s**2 - 19*s - 4. Let f be c(4). Solve 0*b + f*b**3 + 0 - 2/5*b**2 + 2/5*b**4 = 0.
-1, 0, 1
Suppose 8*r - 5*r - 4*k = 22, 3*r + 4*k = -10. Solve 5*s**5 + 3*s**2 - r*s**3 - 3*s**2 - 3*s**5 = 0.
-1, 0, 1
Let c(g) be the first derivative of g**4/10 + 2*g**3/5 - 4*g**2/5 - 11. Solve c(b) = 0 for b.
-4, 0, 1
Let j(u) be the second derivative of -1/6*u**6 + 6*u + 0*u**2 - 1/6*u**4 + 0*u**3 + 7/20*u**5 + 0. Factor j(y).
-y**2*(y - 1)*(5*y - 2)
Let m(i) be the first derivative of 0*i**2 - 1/12*i**3 - 1 - i + 1/40*i**5 + 0*i**4. Let d(g) be the first derivative of m(g). Factor d(z).
z*(z - 1)*(z + 1)/2
Let r(a) = -6*a - 48. Let d be r(-8). Solve 0*y**2 + d + 0*y + 1/3*y**3 = 0 for y.
0
Let k be 7/(21/2)*-63. Let r be 8/k*(-6)/4. Factor r*x**3 + 4/7*x**2 + 0*x + 0.
2*x**2*(x + 2)/7
Suppose -3*u - 3 = 0, 5*t + 0*u - 106 = u. Let d be (2/8)/(7/t). Let -o - d*o**2 - 1/4 = 0. Calculate o.
-1, -1/3
Let r(g) = -5*g**4 - 4*g**3 + 5*g**2. Let u(b) = b**5 - 14*b**4 