rst derivative of 2 + 0*o**2 - 1/3*o**3 + 3/8*o**p + 0*o. Suppose i(b) = 0. What is b?
0, 2/3
Let 18/7*q**2 + 2/7*q**3 + 0 + 0*q = 0. Calculate q.
-9, 0
Let k(a) be the third derivative of a**5/330 - a**4/12 - 4*a**3/11 - 180*a**2. Determine y so that k(y) = 0.
-1, 12
Let j = -16 + 17. Let d = j - -22. Factor 4*g - 13*g**3 + 0*g + d*g**3 + 14*g**2.
2*g*(g + 1)*(5*g + 2)
Let d(j) = -86*j**2 - 91*j - 16. Let b(c) = 173*c**2 + 181*c + 31. Let s(u) = -4*b(u) - 7*d(u). Factor s(l).
-3*(5*l + 4)*(6*l + 1)
Let l(r) be the second derivative of -r**5 + 35*r**4/12 - 5*r**3/3 - 5*r**2/2 + 3*r + 14. Let l(x) = 0. What is x?
-1/4, 1
Find u, given that 22*u**2 - 109*u + 60*u**3 + 22*u**2 + 121*u + 8*u**5 + 36*u**4 = 0.
-3/2, -1, 0
Let y be (-40)/(-14) + 13/91. Let q be (y + -1)*(-7)/(-63). Factor -2/3*r - q - 2/9*r**3 - 2/3*r**2.
-2*(r + 1)**3/9
Let u = 38 - 33. Factor -u - 666*b + 5*b**2 + 666*b.
5*(b - 1)*(b + 1)
Let t be (-4)/(-26) - -1*-6*(-15)/260. Find h, given that 1/2*h**5 + 1/2*h**2 + 0 - t*h**4 - 1/2*h**3 + 0*h = 0.
-1, 0, 1
Let -2/15*y**2 - 1048/15*y - 137288/15 = 0. What is y?
-262
Let z be 1*(-16 + 7 - -9). Let x(q) be the first derivative of -4 + 1/36*q**6 + 0*q**5 + 1/12*q**2 + z*q - 1/12*q**4 + 0*q**3. Factor x(p).
p*(p - 1)**2*(p + 1)**2/6
Let x(z) = 2*z**5 + 44*z**4 + 40*z**3 - 32*z**2 - 30*z - 4. Let n(d) = 2*d**4 + 2*d**3 + d**2 + d - 1. Let i(l) = 4*n(l) - x(l). Solve i(r) = 0 for r.
-17, -1, 0, 1
Let p be -10 + (-1480)/(-150) - (170/(-25) + 4). Solve 2/3*y**2 - 8/3*y + p = 0.
2
Let d(i) = i**2 + i - 3. Let a be d(-2). Let o be (2/28)/(a/(-2)). Solve -o*c**2 + 0*c + 1/7*c**5 - 1/7*c**3 + 0 + 1/7*c**4 = 0.
-1, 0, 1
Let a = -11/855 + 307/1710. Factor a*r - 1/6*r**2 + 0.
-r*(r - 1)/6
Let k(y) be the second derivative of -y**8/2240 + y**7/672 - y**6/960 - 4*y**4/3 + y. Let s(u) be the third derivative of k(u). Factor s(r).
-3*r*(r - 1)*(4*r - 1)/4
Let n(z) be the first derivative of -z**4/5 - 2*z**3/15 + 91. Factor n(u).
-2*u**2*(2*u + 1)/5
Let h = 62/55 - 8/11. Suppose 5*g = 2*i + 16, 0*g + 20 = 4*i + 3*g. Factor 2*x**4 + 4*x**i - h*x**5 + 2/5 - 4*x**3 - 2*x.
-2*(x - 1)**5/5
Let v be -1 - 10/10*-10 - 3. Determine b, given that -v*b - 1/2*b**2 - 18 = 0.
-6
Let b = 2365279/7089 + 28/2363. Let o = 339 - b. Factor 1/3*c**2 + 8/3*c**4 - o*c**5 + 7/3*c**3 + 0*c + 0.
-c**2*(c - 1)*(4*c + 1)**2/3
Let i = -24816 - -24822. Solve -10 + 18/5*o**2 - i*o - 2/5*o**3 = 0.
-1, 5
Let r(y) = -12*y**5 + 24*y**4 + 124*y**3 + 120*y**2 - 96*y - 176. Let g(x) = -x**5 - x**4 + x**2 + x - 1. Let h(q) = -16*g(q) + r(q). Factor h(w).
4*(w - 1)*(w + 2)**3*(w + 5)
Let o(p) be the third derivative of -2*p**7/525 + 2*p**6/15 - 23*p**5/25 + 41*p**4/15 - 64*p**3/15 - p**2 + 219. Suppose o(k) = 0. What is k?
1, 2, 16
Let r = -961 - -10633/11. Suppose -102/11*g**2 - 10/11 + 18/11*g**3 + r*g = 0. Calculate g.
1/3, 5
Let y(x) be the first derivative of -2/5*x**2 + 0*x - 18 + 1/20*x**4 - 1/5*x**3. Factor y(t).
t*(t - 4)*(t + 1)/5
Let g(a) = 2*a**4 + 54*a**3 + 148*a**2 - 1044*a - 1176. Let b(q) = q**3 + q**2 + q - 2. Let n(r) = 12*b(r) - g(r). Solve n(p) = 0 for p.
-12, -1, 4
Suppose -5*m + 149 = t, 0*m - 3*t + 147 = 5*m. Suppose m = 18*d - 3*d. Factor 0*k**d - 3/7*k**4 - 6/7*k**3 + 0 + 0*k.
-3*k**3*(k + 2)/7
Let k(y) = -5*y**4 - 16*y**3 - 27*y**2 - 25*y - 11. Let v(l) = -11*l**4 - 33*l**3 - 53*l**2 - 49*l - 23. Let t(w) = -7*k(w) + 3*v(w). Factor t(g).
(g + 2)**3*(2*g + 1)
Let y = -66392/7 + 9488. Determine b, given that -16/7 - 6/7*b**3 - 4/7*b**2 + y*b + 2/7*b**4 = 0.
-2, 1, 2
Let x be (5/((-10)/(-3)))/((-63)/(-18)). Factor 9/7*g**2 + x*g - 9/7 - 3/7*g**3.
-3*(g - 3)*(g - 1)*(g + 1)/7
Let t = -1824/11 + 5516/33. Let u(m) be the first derivative of 3 + 8/3*m - t*m**2 + 2/9*m**3. Factor u(p).
2*(p - 2)**2/3
Let d(b) = b**2 - 3*b + 4. Let l be d(0). Determine v, given that -17*v**l - 4*v**2 + 28*v**3 + 0*v**2 - 15*v**4 - 64*v**5 = 0.
-1, 0, 1/4
Let m(o) be the second derivative of o**6/10 - 3*o**5/10 - 3*o**4/4 + 4*o**3 - 6*o**2 - o + 1. Suppose m(h) = 0. Calculate h.
-2, 1, 2
Let n(q) be the third derivative of -q**5/15 - q**4/2 + 8*q**3/3 - 943*q**2. Suppose n(z) = 0. What is z?
-4, 1
Let a be ((-12)/(-3))/(3*65/39). Let -a*q + 2/5*q**2 + 0 = 0. What is q?
0, 2
Let d(v) be the third derivative of -v**7/315 + v**6/180 + 2*v**5/45 - v**4/9 - 23*v**2 - 2*v. Factor d(c).
-2*c*(c - 2)*(c - 1)*(c + 2)/3
Let v = -19819/3 - -6608. Factor -1/3*f**2 + 0 - 2/3*f + 8/3*f**3 - v*f**4.
-f*(f - 1)**2*(5*f + 2)/3
Suppose -8*j**2 - 56 - 32*j - 11*j - 9*j + 12*j**2 = 0. Calculate j.
-1, 14
Let s(o) be the first derivative of -o**5/30 + o**4/4 - 2*o**3/3 - 15*o**2/2 + 14. Let m(h) be the second derivative of s(h). Factor m(y).
-2*(y - 2)*(y - 1)
Let c(v) be the first derivative of -v**6/2 - 12*v**5/5 - 3*v**4 + 2*v**3 + 15*v**2/2 + 6*v + 3. Solve c(r) = 0 for r.
-2, -1, 1
Let 28*g + 0*g**2 - 3*g + 2*g**2 - 42 - 17*g = 0. Calculate g.
-7, 3
Let u(m) = -m. Let d be u(-2). Let k = 6 - 4. Factor q**d + 3 - q - k + 1 - 2*q.
(q - 2)*(q - 1)
Let o(d) be the second derivative of -d**3/2 - d**2/2 + 6*d. Let f be o(-3). Determine p, given that f*p + 4*p**3 + 16*p**2 + 8 - p - 4*p + 17*p = 0.
-2, -1
Suppose -4*v + 4*u + 25 - 1 = 0, 0 = -v - u + 2. Let m be ((-684)/2223)/(3 - 5 - 48/(-26)). Factor -1/3*d**3 + d**m - 1/3*d**v - 2/3 + 1/3*d.
-(d - 1)**2*(d + 1)*(d + 2)/3
Let t(u) be the first derivative of -11*u**3 + 6*u + 11 - 27/2*u**2. Factor t(i).
-3*(i + 1)*(11*i - 2)
Let b be (2/2)/5 + 141/(-255). Let m = 52/51 + b. Find h, given that 0*h + 0 - m*h**3 - 1/6*h**4 + 2/3*h**5 + 1/6*h**2 = 0.
-1, 0, 1/4, 1
Let w be (-106)/(-63) - 1732/3031. Factor w*q**2 - 8/9*q + 0.
2*q*(5*q - 4)/9
Suppose 4*z + 127 = 75. Let u = z - -15. Factor -t - 1/2*t**u + 0.
-t*(t + 2)/2
Let d(u) be the first derivative of -3*u**8/32 + 2*u**7/35 + u**6/48 - u**5/60 + 21*u**2/2 - 32. Let g(j) be the second derivative of d(j). Factor g(a).
-a**2*(3*a - 1)**2*(7*a + 2)/2
Let d(q) be the third derivative of q**7/35 - 13*q**6/40 + q**5/4 + 3*q**4/4 + 236*q**2. Factor d(m).
3*m*(m - 6)*(m - 1)*(2*m + 1)
Let l(u) be the third derivative of u**5/60 - 53*u**4/12 - 4*u**2 - 93. Find i, given that l(i) = 0.
0, 106
Let k(g) be the third derivative of -g**8/221760 + g**7/18480 + 3*g**5/20 - g**4/12 - 33*g**2 + 2*g. Let j(z) be the third derivative of k(z). Factor j(o).
-o*(o - 3)/11
Let s(g) be the second derivative of -g**8/6720 + g**7/280 - g**6/30 + 2*g**5/15 - 5*g**4/6 + 8*g. Let m(d) be the third derivative of s(d). Factor m(c).
-(c - 4)**2*(c - 1)
Let i(o) be the second derivative of o**6/80 + 3*o**5/20 + 7*o**4/32 - 160*o. Factor i(a).
3*a**2*(a + 1)*(a + 7)/8
Suppose -2*g**3 - 20*g**3 + 133*g**2 + 129*g - 211*g**2 + g**3 - 30 = 0. What is g?
-5, 2/7, 1
Let k(g) be the first derivative of -1/3*g**3 - 1/8*g**4 + 1/4*g**2 - 24 + 3/4*g + 1/20*g**5. Factor k(r).
(r - 3)*(r - 1)*(r + 1)**2/4
Let h(s) = -s**2 + 6*s + 32. Let t be h(9). Let y(r) be the third derivative of 0*r + 0 + 2/15*r**3 + 1/150*r**t - 2*r**2 - 1/20*r**4. What is n in y(n) = 0?
1, 2
Let w(o) = -50*o + 755. Let h be w(15). Let m(i) be the third derivative of 0*i - 1/18*i**4 - 1/9*i**3 + 0 - 10*i**2 - 1/90*i**h. Let m(d) = 0. What is d?
-1
Let u(z) be the first derivative of z**5/80 - z**3/8 - z**2/4 - 17*z + 13. Let b(t) be the first derivative of u(t). Factor b(f).
(f - 2)*(f + 1)**2/4
Suppose -5*k - 4*v + 74 = 0, 76 = 3*k + k - v. Factor -43 - 3*b**2 + 24 + k*b - 8.
-3*(b - 3)**2
Let l(s) be the third derivative of 1/240*s**6 + 0*s**3 + 1/24*s**4 + 1/40*s**5 + 0*s - 7*s**2 + 0. Factor l(c).
c*(c + 1)*(c + 2)/2
Let 2*t - 2*t**3 - 2/3*t**2 + 0 + 2/3*t**4 = 0. Calculate t.
-1, 0, 1, 3
Let l = 35 - -13. Suppose 29*t**2 + 11*t**2 + 3*t**4 + l*t + 24*t**3 + 20*t**2 = 0. Calculate t.
-4, -2, 0
Factor 20 - 11 + 15*d**2 + 33*d - 12*d + 3*d**3.
3*(d + 1)**2*(d + 3)
Suppose 8*s - 7 - 9 = 0. What is m in 6*m + 1 + 3*m**2 - s + 1 + 3 = 0?
-1
Let p be (3 - -1)*-1 + 6. Suppose 3*w + 2*v - 5 = 0, 18*w + p*v + 16 = 22*w. Solve 0*a + 0*a**2 + 0*a**w + 1/4*a**5 + 0 - 1/4*a**4 = 0.
0, 1
Let f(m) be the second derivative of -9*m**5/80 + m**4/4 + 5*m**3/8 - 3*m**2/4 + m + 31. Factor f(d).
-3*(d - 2)*(d + 1)*(3*d - 1)/4
Suppose 4*i - 39 = -9*i. Let m(p) = -p**3 - 7*p**2 - 5*p + 6. Let z be m(