 21*c**2/2 + 180*c. Suppose w(u) = 0. Calculate u.
3, 14
Let g(k) be the third derivative of k**8/4032 + k**7/168 + k**6/16 - 29*k**5/60 + 9*k**2. Let s(h) be the third derivative of g(h). Factor s(w).
5*(w + 3)**2
Let i(f) be the third derivative of f**10/50400 + f**9/7560 + f**8/5040 + 7*f**5/30 - 14*f**2. Let o(n) be the third derivative of i(n). Factor o(l).
l**2*(l + 2)*(3*l + 2)
Let x(g) = 7*g**3 + 94*g**2 - 104*g + 3. Let q(f) = -15*f**3 - 186*f**2 + 208*f - 7. Let l(p) = 3*q(p) + 7*x(p). Solve l(v) = 0 for v.
-26, 0, 1
Factor 4/5*a**2 + 2704/5 - 208/5*a.
4*(a - 26)**2/5
Let m = 2633/28 + -375/4. Determine y, given that 0 + 2/7*y**2 - m*y = 0.
0, 1
Factor -49 + 20*d**2 + 76 + 4*d - 4*d**3 - 47.
-4*(d - 5)*(d - 1)*(d + 1)
Let s be (2 - 3) + 5 + (-8 - -11). Suppose 3 - s - y**3 - 21*y - 12*y**2 - 6 = 0. Calculate y.
-10, -1
Let s = 54 + -55. Let o(w) = -w**5 - 3*w**4 - 2*w**3 + 3*w**2 + 3*w. Let u(b) = -b**3 + b. Let p(c) = s*u(c) + o(c). Factor p(x).
-x*(x - 1)*(x + 1)**2*(x + 2)
Let d(y) be the second derivative of 28*y**6/75 + 19*y**5/50 - 109*y**4/30 - 76*y**3/15 - 12*y**2/5 + 80*y - 5. Let d(w) = 0. Calculate w.
-2, -3/7, -1/4, 2
Let y(g) be the first derivative of -1/2*g**2 - 20 + 0*g - 1/9*g**3. Factor y(n).
-n*(n + 3)/3
Let q(i) be the second derivative of -i**7/1260 + i**6/360 - i**4/3 - 18*i. Let s(h) be the third derivative of q(h). Suppose s(a) = 0. What is a?
0, 1
Let 4/3*w - 4/3*w**3 + 0*w**2 + 0 = 0. Calculate w.
-1, 0, 1
Suppose 0 = 3*t + 2*t - 10. Factor 1 - 2*n + n**2 + 0*n**2 + 0 + 0*n**t.
(n - 1)**2
Let l(t) = 1. Let f(o) = o**3 + 2*o**2 - 5. Let w(g) = -3*f(g) - 15*l(g). Find k such that w(k) = 0.
-2, 0
Let m(o) be the third derivative of -1/360*o**5 + 0*o**4 + 7*o**2 + 1/9*o**3 + 0*o + 0. Find h such that m(h) = 0.
-2, 2
Suppose -8*l + 17*l = 27. Let i(s) be the second derivative of -1/36*s**l + 0 + 1/120*s**5 + 0*s**2 - 9*s + 0*s**4. Factor i(v).
v*(v - 1)*(v + 1)/6
Suppose -4*p + 3*x + 23 = 0, 4*x + 5 = -5*p + x. Let o = 122 + -120. Determine u so that 0*u**o - 6*u - u**2 - 5 + 2 - 2*u**p = 0.
-1
Factor -9/10 + 4/5*i + 1/10*i**2.
(i - 1)*(i + 9)/10
Let c(o) = -o**4 - 2*o**3 + o - 1. Let r(j) = -20*j**3 - 60*j**2 - 55*j - 10. Let x(a) = -5*c(a) - r(a). Suppose x(b) = 0. What is b?
-3, -1
Let -4*q**2 - 36 + 52 - 3*q**2 + 4*q - 6*q**2 + q**2 = 0. Calculate q.
-1, 4/3
Let f be (2/(40/(-15)))/((-2)/(-8)). Let g be f/(-6)*(-8)/(-20). Factor 0 - g*h + 1/5*h**3 + 0*h**2.
h*(h - 1)*(h + 1)/5
Let a(c) be the third derivative of -3*c**7/140 + 367*c**6/80 - 179*c**5/60 - 245*c**4/12 + 122*c**3/3 + 156*c**2. What is f in a(f) = 0?
-1, 2/3, 122
Let y(v) be the first derivative of -6*v + 8 - 2*v**3 - 11/2*v**2 - 1/4*v**4. Solve y(l) = 0.
-3, -2, -1
Determine s so that -5/4*s**2 - 3/4*s + 1/2 = 0.
-1, 2/5
Let r = -155/18 + 82/9. Let o(u) be the third derivative of 1/20*u**5 + u**2 + 1/4*u**4 + 0 + r*u**3 + 0*u. Factor o(z).
3*(z + 1)**2
Let p(k) = 7*k**2 + 2*k - 5. Let r(g) = -3*g**2 - g + 2. Let v(m) = -m**3 - 6*m**2 - m - 11. Let f be v(-6). Let j(c) = f*r(c) - 2*p(c). What is n in j(n) = 0?
-1, 0
Let b(j) = 0*j - 5*j**2 - 3 - 4*j + 5*j. Let a(x) = -4*x**2 + 2*x - 2. Let d(l) = 3*a(l) - 2*b(l). Suppose d(v) = 0. What is v?
0, 2
Find y such that 0 + 3/5*y**2 + 84/5*y = 0.
-28, 0
Let q = -63 - 105. Let b be 2/(-5) + q/(-245). Let 0*p + b*p**3 + 0*p**2 + 0 - 2/7*p**4 = 0. What is p?
0, 1
Factor -495*y + 5/2*y**2 + 49005/2.
5*(y - 99)**2/2
Suppose -4*o = -20, -l - o = -2*l + 1. Let b(y) = -y + 6. Let g be b(l). Factor -3*a**4 - 2*a**5 + 2*a**3 - 2*a**2 + 5*a**4 + g*a**5.
-2*a**2*(a - 1)**2*(a + 1)
Let d be 2/3*(-11)/(-242). Let i = 7/11 + d. Factor i*y**2 + 4*y + 6.
2*(y + 3)**2/3
Let l = 17062/7 + -2434. What is r in 64/7*r - 46/7*r**2 + 10/7*r**3 - l = 0?
3/5, 2
Determine g so that -135*g - 5/4*g**2 - 3645 = 0.
-54
Let l(p) = -3*p**3 + 2*p**2 - p. Let f be l(1). Let d be -5 + 6 - (f + 0). Factor -172*k**4 - 2*k**2 - 5*k**3 - d*k**2 + 5*k + 177*k**4.
5*k*(k - 1)**2*(k + 1)
Factor -3*x**2 - 3*x + 3/4*x**4 + 3/4*x**3 + 0.
3*x*(x - 2)*(x + 1)*(x + 2)/4
Let z be -30*(-6)/80 + 1*6/(-8). Solve 0 - z*s**2 + 9/2*s = 0 for s.
0, 3
Let m = -11 + 27. Factor -u**2 - m*u - 22 + 6 - 3*u**2.
-4*(u + 2)**2
Factor 9/2*b**2 - 1/2*b**4 + 0*b**3 - 2*b - 6.
-(b - 2)**2*(b + 1)*(b + 3)/2
Let p(r) = -r**2 - 5*r + 6. Let z(x) = -2*x**2 + 11*x - 9. Let i(h) = h**2 - 11*h + 10. Let k(t) = 4*i(t) + 3*z(t). Let g(q) = 6*k(q) - 13*p(q). Factor g(s).
s*(s - 1)
Let w(f) = -6*f - 27. Let t be w(-5). Let k be (-56)/(-12) + -7 + t. Factor 0 - k*v**3 - 2/3*v**4 + 2/3*v**5 + 2/3*v**2 + 0*v.
2*v**2*(v - 1)**2*(v + 1)/3
Let n(p) be the third derivative of p**5/80 + 3*p**4/8 + 11*p**3/8 + 4*p**2 + 4. Suppose n(u) = 0. Calculate u.
-11, -1
Let q(r) = -r**3 + 4*r**2 + 7*r - 9. Let b be q(5). Let p be ((0 - 2) + 13)*b. Determine h so that 5*h + 4 - 12*h + h**2 + p*h = 0.
-2
Let r be 21*((-9)/54)/(-1). Factor -b - 5/2*b**3 - r*b**2 + 0.
-b*(b + 1)*(5*b + 2)/2
Suppose -4*a + 28 = 3*a. Find o such that 28*o**2 + 44*o + 24 - a - o**3 + 5*o**3 = 0.
-5, -1
Let j(z) = z**4 - 6*z + 1. Let m(n) = -4*n**4 + 8*n**3 + 17*n**2 + 40*n - 5. Let p(f) = 5*j(f) + m(f). Factor p(a).
a*(a + 1)*(a + 2)*(a + 5)
Suppose o + 4*o + 2*q - 49 = 0, -2*o + 12 = -3*q. Let i = o + -9. Find c such that 0*c**2 - 1/3*c**5 + 0*c + i - c**4 - 2/3*c**3 = 0.
-2, -1, 0
Let o = -889/104 - -116/13. Factor 3/8*l + 0 + 9/8*l**3 + 9/8*l**2 + o*l**4.
3*l*(l + 1)**3/8
Let j(y) = -3*y**2 - 12*y + 21. Let c(b) = -2*b**2 - 13*b + 22. Let g(t) = 6*c(t) - 5*j(t). Solve g(r) = 0.
3
Let m(h) be the third derivative of -h**5/60 + 5*h**4/6 + 7*h**3/2 - 149*h**2 - 3. Factor m(q).
-(q - 21)*(q + 1)
Factor 0 + 1/5*k**3 + 0*k**2 - 1/5*k.
k*(k - 1)*(k + 1)/5
Suppose 327 = 3*p - 2*y, 0 = -6*p + 2*p + 5*y + 436. Factor 212*t**2 + 12 - 106*t**2 - p*t**2.
-3*(t - 2)*(t + 2)
Factor 2 + 23/4*s - 3/4*s**2.
-(s - 8)*(3*s + 1)/4
Let o(t) = -11 - 7*t - 9*t**2 - 10*t + 10*t. Let d = 14 + -3. Let b(s) = 5*s**2 + 4*s + 6. Let h(f) = d*b(f) + 6*o(f). Factor h(y).
y*(y + 2)
Let k(q) be the second derivative of -q**5/10 - 187*q**4/6 - 371*q**3/3 - 185*q**2 + 117*q. Factor k(x).
-2*(x + 1)**2*(x + 185)
Let y(f) be the second derivative of 9*f**5/10 + 47*f**4/6 + 10*f**3/3 - f + 281. Determine v so that y(v) = 0.
-5, -2/9, 0
Find c such that -19/3*c**2 + 29*c + 1/3*c**3 - 39 = 0.
3, 13
Let l(y) be the first derivative of -y**4 + 144*y**3 - 5832*y**2 - 82. Determine c so that l(c) = 0.
0, 54
Let t(a) be the first derivative of 4*a**5/5 + 2*a**4 - 4*a**3 + 126. Factor t(g).
4*g**2*(g - 1)*(g + 3)
Let m(k) be the third derivative of -k**5/60 - 41*k**4/24 + 37*k**3/6 - 29*k**2. Let i(f) = -21*f + 18. Let y(p) = -5*i(p) + 3*m(p). Factor y(t).
-3*(t - 1)*(t + 7)
Let u(q) be the third derivative of -q**5/15 - q**4/3 + 2*q**3 - 4*q**2 - 26*q. Factor u(z).
-4*(z - 1)*(z + 3)
Let a(l) be the third derivative of -l**8/7200 + l**7/3780 + l**6/2700 - 11*l**4/6 - 36*l**2. Let c(p) be the second derivative of a(p). Factor c(u).
-2*u*(u - 1)*(7*u + 2)/15
Let a(b) be the third derivative of b**5/30 + 5*b**4/6 + 82*b**2. Suppose a(z) = 0. What is z?
-10, 0
Let w(n) be the third derivative of n**6/40 + n**5/20 - 7*n**4/4 - 12*n**3 + 131*n**2. Determine m, given that w(m) = 0.
-3, -2, 4
Let g(s) be the third derivative of 0*s**6 - 7*s**2 + 0*s**5 + 0*s**4 + 0*s + 0*s**3 + 0 + 1/1176*s**8 - 1/735*s**7. Solve g(o) = 0 for o.
0, 1
Let u(n) be the first derivative of 3/8*n**4 + 1/2*n**2 + n**3 + 10 + 0*n**5 + 0*n - 1/40*n**6. Let f(k) be the second derivative of u(k). Factor f(h).
-3*(h - 2)*(h + 1)**2
Let g(x) be the second derivative of 1/6*x**3 + 1/80*x**5 - 1/8*x**4 + 0 + 1/2*x**2 + 1/96*x**6 - 10*x. Let u(j) be the first derivative of g(j). Factor u(k).
(k - 1)*(k + 2)*(5*k - 2)/4
Suppose 3*h + 2 = 4*x, -2*h = 137*x - 138*x - 2. What is a in 3*a**5 + 4/3*a**3 - 6*a**x + 20/3*a**4 - 2/3 - 13/3*a = 0?
-1, -2/9, 1
Let m(w) be the second derivative of -w**7/315 + 2*w**6/75 - 2*w**5/25 + 4*w**4/45 + 101*w. Find y, given that m(y) = 0.
0, 2
Factor 6/11*y**3 + 0 + 2/11*y - 2/11*y**4 - 6/11*y**2.
-2*y*(y - 1)**3/11
Let o(k) be the second derivative of k**6/2880 + k**5/80 + 3*k**4/16 + 11*k**3/6 + 16*k. Let u(a) be the second derivative of o(a). What is z in u(z) = 0?
-6
