derivative of i**5/15 - 8*i**4 - 200*i**3/3 - 2*i**2 + 5*i. Factor b(n).
4*(n - 50)*(n + 2)
Factor 44*z**2 + 24 - 36 - 9*z + 12*z**3 - 24*z**3 - 11*z.
-4*(z - 3)*(z - 1)*(3*z + 1)
Let o be (-548)/(-36) - (-2)/(-9). Let x = o + -14. What is y in x + 8*y**5 + y**4 - 11*y**5 + y - 2*y**2 + 4*y**5 - 2*y**3 = 0?
-1, 1
Let h(k) be the first derivative of 4*k - 4/3*k**3 + 0*k**2 + 2. Factor h(n).
-4*(n - 1)*(n + 1)
Let u be (-1456)/(-780)*(-12)/(-14). Suppose u*f - 2/5*f**3 - 16/5 + 4/5*f**2 = 0. Calculate f.
-2, 2
Let r(z) be the third derivative of 0*z**3 + 0 - 2*z + 23*z**2 - 1/240*z**6 + 1/40*z**5 + 1/12*z**4. Solve r(s) = 0.
-1, 0, 4
Let 28/3*v**2 - 24*v + 0 + 4/3*v**3 = 0. What is v?
-9, 0, 2
Let j = 59 + -56. Solve -s**4 + 2*s**4 + s**j + 0*s**4 = 0.
-1, 0
Suppose -3*n + 7 + 4 = 2*z, -3*z = 3*n - 12. Let d(x) be the second derivative of -1/21*x**n + 0 - 2*x + 1/70*x**5 + 1/42*x**4 - 1/7*x**2. Factor d(c).
2*(c - 1)*(c + 1)**2/7
Let k(y) be the third derivative of 0*y**3 + 1/336*y**8 + 10*y**2 + 0*y**6 - 1/30*y**5 + 1/105*y**7 + 0 + 0*y - 1/24*y**4. Factor k(n).
n*(n - 1)*(n + 1)**3
Let o(i) be the first derivative of -i**6/50 - i**5/100 + i**4/10 + i**3/10 + 3*i**2/2 + 15. Let b(w) be the second derivative of o(w). Factor b(j).
-3*(j - 1)*(j + 1)*(4*j + 1)/5
Let o(w) = w**2 + w + 12. Let z be o(-9). Let y be 90/z + (-2)/4. Solve -2/7*n**3 + y*n + 0 + 2/7*n**2 = 0.
-1, 0, 2
Let t = 106 + -103. Factor -3*d + 4*d**t + 8*d + 15*d - 20*d**2 + d**3.
5*d*(d - 2)**2
Let -2/13*u**3 + 0 - 2/13*u**2 + 2/13*u + 2/13*u**4 = 0. What is u?
-1, 0, 1
Let d be (17*6)/3 - (-1)/1. Let j = d - 32. Factor 0 + 0*g + 2/3*g**j - 2/3*g**2.
2*g**2*(g - 1)/3
Suppose 0 = -4*d - 0*d + 16. Let c be ((-6)/(-4))/(3/d). Factor -11*j**2 + 12*j - 7*j**c - 8*j.
-2*j*(9*j - 2)
Suppose 1521 = -18*k + 1575. Factor -2/11*s**4 + 0 + 6/11*s**k + 0*s**2 + 0*s.
-2*s**3*(s - 3)/11
Factor -16/5 + 4/5*s**3 - 8/5*s**2 - 28/5*s.
4*(s - 4)*(s + 1)**2/5
Let s(q) be the second derivative of 0*q**2 + 4/3*q**5 + 34/45*q**6 + 4/9*q**4 + 0*q**3 - 27*q + 8/63*q**7 + 0. Suppose s(x) = 0. Calculate x.
-2, -1/4, 0
Let p(k) = 3*k**2 + 525*k + 966. Let l(r) = r**2 + 210*r + 386. Let c(u) = -12*l(u) + 5*p(u). Factor c(s).
3*(s + 2)*(s + 33)
Suppose 0 = 6*q - q + 3*r - 13, -6 = -q - 4*r. Suppose -o + q = -3. Determine n so that 8/3*n**2 + 0 + 26/9*n**3 + 2/9*n**o + 4/3*n**4 + 8/9*n = 0.
-2, -1, 0
Let g(t) be the second derivative of -2*t**6/75 + 9*t**5/25 + 16*t**4/5 + 104*t**3/15 - 192*t. Factor g(n).
-4*n*(n - 13)*(n + 2)**2/5
Factor -784/5*y + 76832/5 + 2/5*y**2.
2*(y - 196)**2/5
Let m(o) be the first derivative of -o**3/6 + 63*o**2/4 - 31*o - 68. Factor m(f).
-(f - 62)*(f - 1)/2
Let o(g) be the third derivative of -11*g**6/56 - 2*g**5/5 - g**4/56 - 14*g**2. What is x in o(x) = 0?
-1, -1/55, 0
Let t be 10/15*(-3)/(-1). Let -8*d**2 + 4*d**2 - 4*d**3 + 4*d**t + 2*d**4 - 2 + 4*d = 0. Calculate d.
-1, 1
Let p be ((-2)/8)/(387/(-13072) - 15/95). Solve 2/3*y**2 + p - 3*y = 0 for y.
1/2, 4
Let k be (-5 - (-7566)/1260) + -1. Let p(x) be the third derivative of 0*x + k*x**7 - 6*x**2 + 0*x**3 + 0 + 7/60*x**5 - 1/8*x**4 - 1/24*x**6. Factor p(g).
g*(g - 3)*(g - 1)**2
Let q(x) = -4*x**5 + 6*x**4 + 3*x**3 - 8*x**2 + 3*x - 3. Let i(t) = -3*t**5 + 5*t**4 + 3*t**3 - 9*t**2 + 4*t - 2. Let v(c) = 3*i(c) - 2*q(c). Factor v(y).
-y*(y - 3)*(y - 1)**2*(y + 2)
Factor -84*f**2 + 6*f - 38*f + 31 - 11.
-4*(3*f - 1)*(7*f + 5)
Factor -1102*x**2 - 11*x**3 + 15*x**4 + 3*x**3 - 3*x**5 - 13*x**3 + 560*x**2 + 551*x**2.
-3*x**2*(x - 3)*(x - 1)**2
Let j(a) be the first derivative of -7*a**5/5 + 38*a**4 + 199*a**3 - 271*a**2 - 200*a + 874. What is l in j(l) = 0?
-4, -2/7, 1, 25
Let l(n) = -6*n**3 - 21*n**2 - 9. Let g(r) = 7 - 3 - 717*r**2 + 3*r**3 + 727*r**2. Let w(s) = -9*g(s) - 4*l(s). Factor w(k).
-3*k**2*(k + 2)
Let z(y) = -5*y - 75. Let n be z(-16). Let d be n*((-13)/(-20) - (-8)/(-32)). What is h in -h + 1/3 + h**d - 1/3*h**3 = 0?
1
Let d(j) be the first derivative of 3*j**5/5 - 117*j**4/4 + 108*j**3 + 6*j**2 - 432*j - 20. Let d(p) = 0. Calculate p.
-1, 2, 36
Let w(b) be the third derivative of 3*b**5/10 - 29*b**4/12 + 2*b**3 + 62*b**2. Factor w(i).
2*(i - 3)*(9*i - 2)
Let s(x) = -4*x**3 - x + 4*x**3 + x**3. Let c(y) = 13*y**3 + 4 - 4*y**2 - 6 - 7*y**3. Let t(n) = -2*c(n) + 10*s(n). Factor t(z).
-2*(z - 2)*(z - 1)**2
Let h(o) be the third derivative of -o**8/1848 - 2*o**7/165 + o**6/44 + 16*o**2 + 2. Factor h(b).
-2*b**3*(b - 1)*(b + 15)/11
Let l = 2879/896 - 137/128. Solve 3*r**2 + l + 3/7*r**3 + 33/7*r = 0.
-5, -1
Let p(j) be the second derivative of -11*j**4/4 - 19*j**3/2 - 12*j**2 - 226*j - 2. Suppose p(q) = 0. What is q?
-1, -8/11
Let d(z) = -z**3 - 8*z**2 + 2. Let h be d(-8). Let q(f) = 25*f - 150. Let u be q(6). Let 0 + 0*b - 4/7*b**3 + u*b**h = 0. What is b?
0
Let p = 1768/189 + -4/189. Factor 0 + 20/3*z**4 + 0*z + 8/3*z**2 + p*z**3.
4*z**2*(z + 1)*(5*z + 2)/3
Let h = 20 - 30. Let m = -7 - h. Factor o**m - 4*o**2 - 4*o**3 + o**3.
-2*o**2*(o + 2)
Let k = 38/75 - 1/150. Factor 7/6*d - 5/6*d**2 + 1/6*d**3 - k.
(d - 3)*(d - 1)**2/6
Let d(p) = p**2 + 9*p + 17. Let z be d(-7). What is b in z*b**5 - 9*b**3 - 4*b**5 - 22*b**2 - 2*b + 29*b**2 + 5*b**4 = 0?
0, 1, 2
Let y(p) be the second derivative of -p**7/14 - p**6/2 - 9*p**5/10 + p**4/2 + 7*p**3/2 + 9*p**2/2 + 3*p + 8. Factor y(j).
-3*(j - 1)*(j + 1)**3*(j + 3)
Factor -150*r**2 + 4*r**3 - 264*r**2 + 1980*r + 600 + 17*r**3.
3*(r - 10)**2*(7*r + 2)
Solve -245/4*q - 125/4 + 5/4*q**3 - 115/4*q**2 = 0 for q.
-1, 25
Let n be (-22)/(-1)*3*(-7)/14. Let v be (-8*(-1)/15)/((-22)/n). Suppose -2*a**3 + v*a - 6/5*a**2 + 0 = 0. Calculate a.
-1, 0, 2/5
Let f(q) be the first derivative of q**3/5 + 177*q**2/10 + 174*q/5 - 139. Solve f(h) = 0 for h.
-58, -1
Let s(a) be the first derivative of 1/6*a**3 + 7 - a**2 + 3/2*a. Determine i so that s(i) = 0.
1, 3
Let s(x) be the third derivative of x**7/1260 + x**6/144 - 7*x**5/120 + 23*x**4/144 - 2*x**3/9 + 119*x**2. Solve s(q) = 0 for q.
-8, 1
Let l be (135/(-81))/(10/(-12)). Suppose -c**3 - c**l + 334 - 334 + 2*c = 0. What is c?
-2, 0, 1
Let x = -6 - -8. Suppose 0 = -t - 4*p + x + 2, -3*t - p = -23. Factor n**3 + t*n**2 - 2 - n + 5*n**3 - 5*n**3 - 6*n**3.
-(n - 1)**2*(5*n + 2)
Suppose -4*r - 55 - 9 = 0. Let v be (2 + r/2)/((-21)/8). Factor v + 8/7*i + 1/7*i**2.
(i + 4)**2/7
Let 2246*q**2 + 150 - 57*q - 78*q - 3*q**3 - 2210*q**2 = 0. Calculate q.
2, 5
Determine f, given that -45/2*f - 21/2 - 27/2*f**2 - 3/2*f**3 = 0.
-7, -1
Let x be 1/((-15)/(-18) + -1). Let g(u) = 1 - u**2 + 2*u**2 - 2 + 0. Let s(a) = -5*a**2 + 2*a + 6. Let l(h) = x*g(h) - s(h). Factor l(f).
-f*(f + 2)
Let w(m) = 9*m**3 - 12*m**3 - 2 + 3 + 4*m**3 - m + m**2. Let k = -1 - -2. Let s(z) = z**4 - 9*z**3 - 3*z**2 + 5*z - 6. Let q(t) = k*s(t) + 6*w(t). Factor q(v).
v*(v - 1)**3
Let p = 456 + -452. Let u(t) be the first derivative of -1/4*t**p + 0*t - 1/3*t**3 + 3 + t**2. Determine w so that u(w) = 0.
-2, 0, 1
Let u(k) be the second derivative of -k**5/4 - 5*k**4/4 - 5*k**3/2 - 5*k**2/2 + 67*k. Factor u(h).
-5*(h + 1)**3
Let r be (-3064)/(-288) - (-3)/48*4. Factor 28/9*g - 2/9 - r*g**2.
-2*(7*g - 1)**2/9
Let x(m) be the first derivative of -m**4/12 - 11*m**3/9 - 14*m**2/3 + 302. Factor x(a).
-a*(a + 4)*(a + 7)/3
Let w be (3/5)/(21/70). Solve 2*n + n**3 + n**5 - 6*n - 4*n**3 + 8*n**w - 2*n**4 = 0.
-2, 0, 1, 2
Let c(w) be the second derivative of -w**4/9 - 35*w**3/18 + 3*w**2/2 - 315*w. Let c(h) = 0. What is h?
-9, 1/4
Factor 0*m + 4/17*m**2 - 10/17*m**3 + 0 + 8/17*m**4 - 2/17*m**5.
-2*m**2*(m - 2)*(m - 1)**2/17
Let f(i) be the first derivative of 3 - 9/4*i - 3/4*i**2 - 1/12*i**3. Find c, given that f(c) = 0.
-3
Let t = -36175/3 + 11873. Let q = t - -186. Factor 7/3*h + q + 4/3*h**2 - 4/3*h**3.
-(h - 2)*(2*h + 1)**2/3
Let y = -221 - -224. Suppose -s = 3*l - y, 4*l - 1 - 1 = -2*s. Factor -3/2*i**5 - 3/2*i**l + 0 + 3/2*i**3 + 0*i + 3/2*i**4.
-3*i**2*(i - 1)**2*(i + 1)/2
Let p be (4/(-16))/(4 - (-161)/(-40)). Let c(m) be the first derivative of -3 - p*m**2 - 4/3*m**3 - 16*m. Find z, given that c(z) = 0.
-4, -1
Let t(v) be the third derivative of 0*v**5 + 0*v + 0 + 1/1575*v**7 - 1/900*v**6 + 0*v**3 + 3*v**2 + 0*v**4. Factor t(q).
2*q**3*(q - 1)/15
Let -3*l + 3 - 6*l**2 + 6*l**3 - 3*l**5 - 22*l**4 