ird derivative of -2*k**7/105 - 11*k**6/15 - 121*k**5/15 - 2*k**2 - 132*k. Let z(w) = 0. Calculate w.
-11, 0
Let l(t) be the second derivative of 0 - 5/12*t**2 + 31*t - 1/18*t**4 + 7/12*t**3. Let l(v) = 0. What is v?
1/4, 5
Let z(c) be the first derivative of -16*c**5/35 - 9*c**4/7 - 8*c**3/7 - 2*c**2/7 - 50. Factor z(q).
-4*q*(q + 1)**2*(4*q + 1)/7
Solve -36*h - 5*h**2 - 21*h**4 + 3*h**2 + 25*h**2 + 10*h**2 + 36*h**3 - 12 = 0 for h.
-1, -2/7, 1, 2
Let d be (2/6 + 0)*(-918)/(-765). Factor 2*t**3 - 2/5*t - 6/5*t**4 + 0 - d*t**2.
-2*t*(t - 1)**2*(3*t + 1)/5
Let r(i) be the third derivative of -i**7/385 - 29*i**6/660 - 13*i**5/66 + 25*i**4/132 - 67*i**2 + i. Factor r(q).
-2*q*(q + 5)**2*(3*q - 1)/11
Let y(o) = -o**3 - o**2 - 2*o - 2. Let u(p) = 4*p**3 + 198*p**2 - 38*p - 104. Let z(s) = u(s) + 10*y(s). Factor z(i).
-2*(i - 31)*(i - 1)*(3*i + 2)
Let s(a) = 2*a**2 - 6*a - 137. Let u be s(10). Factor -3*y**u + 2*y + 0 + 25/3*y**2.
-y*(y - 3)*(9*y + 2)/3
Suppose 89*s + 27*s + 167*s = 566. Factor 1/4 - 1/4*k**s - 1/4*k**3 + 1/4*k.
-(k - 1)*(k + 1)**2/4
Factor -62/5*g + 0 + 1/5*g**2.
g*(g - 62)/5
Let p = 9 - 15. Let k = -53 + 64. Let z(g) = 7*g**2 + 2*g - 9. Let r(j) = 13*j**2 + 4*j - 17. Let t(l) = k*z(l) + p*r(l). Factor t(w).
-(w - 1)*(w + 3)
Factor 9*k**2 - 1/2*k**3 - 17/2*k + 0.
-k*(k - 17)*(k - 1)/2
Let m(v) be the first derivative of 5/12*v**4 - 1/18*v**6 - 2/3*v**2 + 0*v**5 + 8 + 0*v**3 + 0*v. Suppose m(j) = 0. Calculate j.
-2, -1, 0, 1, 2
Let f(s) = 2*s**2 - 21*s + 14. Let p be f(10). Let y = 186 + -2416/13. Determine t so that 0*t**p - 8/13*t**3 + 4/13*t**2 + 6/13*t + y*t**5 - 4/13 = 0.
-2, -1, 1
Let x(y) be the first derivative of -9/20*y**4 + 1/10*y**6 + 6/5*y**2 + 0*y - 4/5*y**3 + 6/25*y**5 + 12. Let x(b) = 0. Calculate b.
-2, 0, 1
Let v(k) be the first derivative of -k**4/10 - 4*k**3/15 - 166. Solve v(t) = 0 for t.
-2, 0
Suppose 5*z + u - 4 = 4, -2*z = 2*u. Factor 5 + 11*b**2 - 10*b**3 + 13*b**z - 5*b**4 - 24*b**2 + 10*b.
-5*(b - 1)*(b + 1)**3
Suppose -16*f = -12*f. Suppose -2*p - 81 = -85. Factor p*m**3 + f*m - 2/3*m**4 - 4/3*m**2 + 0.
-2*m**2*(m - 2)*(m - 1)/3
Find m such that 2*m**2 - 214*m + 21 + 61*m**2 + 34 + 15 - 14 = 0.
2/7, 28/9
Let s(t) be the third derivative of -t**8/60480 + t**7/15120 + t**6/1080 + 9*t**5/20 - 35*t**2. Let r(z) be the third derivative of s(z). Factor r(w).
-(w - 2)*(w + 1)/3
Let q = 8831/7 - 1261. Suppose 4/7*l**2 - q*l**4 + 4/7*l + 0 - 4/7*l**3 = 0. Calculate l.
-1, 0, 1
Let p(z) be the third derivative of -z**7/105 - z**6/15 - z**5/10 + z**4/3 + 4*z**3/3 - 169*z**2. Find i, given that p(i) = 0.
-2, -1, 1
Suppose -164/19*l**2 - 2/19*l**3 + 0 + 0*l = 0. What is l?
-82, 0
Let j(v) = -100*v - 16200. Let m be j(-162). Factor -2/3*k**3 + 1/3*k**4 + 1/3*k**2 + 0 + m*k.
k**2*(k - 1)**2/3
Let k(a) be the third derivative of -5/12*a**4 + 1/30*a**5 + 2*a**3 + 0*a + 0 + 8*a**2. Determine q, given that k(q) = 0.
2, 3
Let g be 5 + -9 + -16*32/(-4). Let b = 626/5 - g. What is d in b*d**2 - 4/5*d**4 - 2/5*d - 2/5 + 2/5*d**3 = 0?
-1, -1/2, 1
Factor 578/7*n**2 + 2/7*n**4 - 68/7*n**3 + 0 + 0*n.
2*n**2*(n - 17)**2/7
Let n(i) be the third derivative of 0*i**7 - 33*i**2 + 1/10*i**6 + 0*i + 0*i**4 + 2/15*i**5 + 0 - 1/84*i**8 + 0*i**3. Determine p so that n(p) = 0.
-1, 0, 2
Suppose 4*q - 10 = -2*j, -4*j + 6 = -5*q - 1. Suppose 19 = j*v + a, 3*a - 29 = -3*v - 8. Let 8/9*n**2 - 8/9*n + 0*n**4 + 0 + 6*n**3 - v*n**5 = 0. What is n?
-2/3, 0, 1/3, 1
Factor 24*v - 261*v**3 + 257*v**3 - 5*v**2 + v**2.
-4*v*(v - 2)*(v + 3)
Let f(s) = 6*s**2 + s. Let o be f(-1). Suppose 27 = o*m + 7. Suppose -3*n**m + 134*n**3 - 134*n**3 = 0. Calculate n.
0
Let n(j) be the first derivative of -j**4 + j**3 - 7 + 44*j**2 - 48*j**2 + 3*j**3. Factor n(q).
-4*q*(q - 2)*(q - 1)
Let x(l) be the third derivative of -l**7/10080 + l**5/480 + 7*l**4/24 - 10*l**2. Let a(h) be the second derivative of x(h). Factor a(m).
-(m - 1)*(m + 1)/4
Let z(m) = -m**2 - 2*m + 1. Suppose 15 - 2 = 4*a + w, 3*a = 3*w + 21. Let d(l) = -3*l**2 - 8*l + 4. Let v(u) = a*d(u) - 18*z(u). Solve v(x) = 0.
-1, 1/3
Factor 1/4*s**2 + 11*s + 21.
(s + 2)*(s + 42)/4
Let a = 4/1827 + 7288/9135. Find l such that 1/5*l**2 - 1/5*l**3 - a + 4/5*l = 0.
-2, 1, 2
Let l(v) = -1. Let j = -42 - -24. Let i(u) = 3*u**2 + 3*u - 24. Let c(a) = j*l(a) + i(a). Factor c(o).
3*(o - 1)*(o + 2)
Let a(b) be the third derivative of b**6/30 + b**5/3 + b**4 - b**2 - 23*b. Solve a(i) = 0 for i.
-3, -2, 0
Let h(k) be the third derivative of -640/3*k**3 + 0 - 1/12*k**5 - 8*k**2 + 0*k - 20/3*k**4. Factor h(u).
-5*(u + 16)**2
Factor -4/3*k**2 + 28/3*k + 0.
-4*k*(k - 7)/3
Find g such that 62/11*g - 2/11*g**2 - 60/11 = 0.
1, 30
Let u(r) = 2*r**2 + 4*r. Let p be u(-3). Let v be 20/p - (-2)/3. Factor -4*b + b + 2*b**3 + 5*b - v*b**2.
2*b*(b - 1)**2
Let z(w) = -w**3 + 52*w**2 - 96*w + 67. Let b(y) = -27*y**2 + 48*y - 33. Let t(l) = -5*b(l) - 3*z(l). Factor t(k).
3*(k - 3)*(k - 2)**2
Let c(j) be the first derivative of 2*j**5/15 + 19*j**4/3 + 104*j**3 + 1690*j**2/3 - 4394*j/3 - 609. Factor c(t).
2*(t - 1)*(t + 13)**3/3
Factor 5*q**2 + 9*q**3 - 36*q + 164 + 158 - 298 + q**2 - 3*q**4.
-3*(q - 2)**2*(q - 1)*(q + 2)
Suppose -j = -4*y - 0*j - 19, -3*y + 2*j = 18. Let h be 3/6*3 + y/(-8). Factor 0*s - 1/2*s**4 + 0*s**h - 1/4*s**5 + 0 - 1/4*s**3.
-s**3*(s + 1)**2/4
Let r(d) be the second derivative of 2*d**6/3 - 19*d**5/5 + 11*d**4/3 + 2*d**3 - 160*d. Factor r(y).
4*y*(y - 3)*(y - 1)*(5*y + 1)
Factor 435*o + 849/8*o**3 - 150 + 111/8*o**4 + 3/8*o**5 - 3243/8*o**2.
3*(o - 1)**3*(o + 20)**2/8
Solve -16/5*k - 8/5*k**2 - 1/5*k**4 + 7/5*k**3 + 0 = 0 for k.
-1, 0, 4
Let x be (4/(-32))/(4/(-96)). Let f(z) be the third derivative of 3*z**2 - 1/270*z**5 + 1/36*z**4 + 0*z + 0 - 2/27*z**x. Factor f(r).
-2*(r - 2)*(r - 1)/9
Let r = 20 + -15. Let g = 6 - 1. Suppose g*a**2 + a**3 - r*a**2 = 0. Calculate a.
0
Let x(r) be the second derivative of 0*r**2 + 2*r - 1/3*r**3 - 1/2*r**4 - 3/10*r**5 - 1/15*r**6 + 0. Factor x(j).
-2*j*(j + 1)**3
Let f(q) = 3*q**2 - 25174 + 25185 - 6*q - 2*q**2. Let r be f(4). Factor 0*c + 0 + 0*c**2 - 1/4*c**5 + 1/2*c**4 - 1/4*c**r.
-c**3*(c - 1)**2/4
Let b be (-2)/(21/((-252)/8)). What is u in 3*u**2 - 3/2 - 3/2*u**4 + 0*u + 0*u**b = 0?
-1, 1
Factor -73 - k**3 + 13*k - 39 + k**2 + 27*k.
-(k - 4)**2*(k + 7)
Suppose 3*j = -2 + 8. Let b(n) = -n**5 - n**3 - n. Let f(r) = -3*r**5 - 5*r**4 - 6*r**3 - 7*r. Let t(z) = j*f(z) - 14*b(z). Factor t(u).
2*u**3*(u - 1)*(4*u - 1)
Let p(y) = -180*y + 62. Let c be p(5). Let j = c - -10902/13. Factor 12/13*v**2 + 2/13 - 8/13*v**3 + 2/13*v**4 - j*v.
2*(v - 1)**4/13
Let x(r) be the first derivative of -5 + 3/10*r**5 + 9/4*r**4 + 9*r**3 + 0*r + 5/2*r**2 + 1/60*r**6. Let v(m) be the second derivative of x(m). Factor v(g).
2*(g + 3)**3
Suppose 4*x = 2*h + 3*x - 124, -x + 317 = 5*h. Find m, given that 65*m**3 - h*m**3 + 6*m - 2*m**2 + 10*m**2 = 0.
-3, -1, 0
Let b(i) = 16*i**2 - 171*i + 1258. Let r(y) = -3*y**2 + 34*y - 252. Let u(c) = -4*b(c) - 22*r(c). Find d, given that u(d) = 0.
16
Let c(o) be the third derivative of 2*o**7/105 + 29*o**6/105 + 3*o**5/35 - 29*o**4/21 - 32*o**3/21 - 173*o**2. Let c(s) = 0. Calculate s.
-8, -1, -2/7, 1
Suppose 5*h = -15, 0*h + 14 = n + 2*h. Suppose 6*a - n = a. Determine q, given that -a*q + q**2 - 3 - q**2 - q**2 = 0.
-3, -1
Let v(k) = -35*k**2 - 198*k + 50. Let l(c) = 18*c**2 + 98*c - 26. Let g(t) = -10*l(t) - 4*v(t). Factor g(x).
-4*(x + 5)*(10*x - 3)
Let j(r) = 2*r**3 - 13*r**2 + 9*r - 15. Let o be j(6). Suppose -h + 1 = 4*c - 12, -5*h = -5*c + 35. Factor d**2 - o*d**2 - c*d + 8*d.
-2*d*(d - 2)
Suppose 13*s - 108 = 4*s. Let g be (s/(-21))/((-14)/7). Factor g*w**2 + 12/7*w + 18/7.
2*(w + 3)**2/7
Suppose 1 = 2*l - 7. Let h be 1 + (-40)/(-18) - 90/405. Let -4*n**3 - n**l - 5*n**3 + h*n**3 + 5*n**3 = 0. Calculate n.
-1, 0
Suppose -11*z - 420 = -117*z - 208. Let -4/3 - 8/3*d - 4/3*d**z = 0. What is d?
-1
Let d be 2/(-12) + (-345)/(-207) + (-2)/12. Find t, given that 0 - d*t**2 + 4/3*t - 1/3*t**3 + 1/3*t**4 = 0.
-2, 0, 1, 2
Find v, given that 130/7*v + 2/7*v**2 + 0 = 0.
-65, 0
Let u(x) = x**3 - 65*x**2 - 305*x - 505. Let f(o) be the first derivative of 64*o**3/3 + 152*o**2 + 504*o + 7. Let q(d) = -5*f(d) - 4*u(d). Factor q(n).
-4*(n + 5)**3
Let n(c) be the second deriva