late o.
0, 1, 3
Let y be ((-63)/(-14))/(9/6). Factor 1/8*h**4 + 1/8*h**5 + 0 - 1/8*h**2 + 0*h - 1/8*h**y.
h**2*(h - 1)*(h + 1)**2/8
Let w(h) be the third derivative of -h**8/840 + h**6/100 + h**5/75 + 4*h**2. Factor w(t).
-2*t**2*(t - 2)*(t + 1)**2/5
Let f(h) be the third derivative of 0 - 1/24*h**4 + 0*h - h**2 + 1/60*h**5 - 1/6*h**3 + 1/120*h**6. Factor f(z).
(z - 1)*(z + 1)**2
Let l(y) = -y**4 - y. Let m(o) = 3*o**4 + 2*o**3 + 5*o. Let k(i) = 5*l(i) + m(i). Determine u, given that k(u) = 0.
0, 1
Let q(w) be the second derivative of 3*w + 3/22*w**4 + 0 + 13/110*w**5 - 2/11*w**2 + 1/33*w**6 - 1/33*w**3. Factor q(d).
2*(d + 1)**3*(5*d - 2)/11
Let j(u) be the second derivative of -1/12*u**4 + u + 0 - 1/6*u**3 + u**2. Find q such that j(q) = 0.
-2, 1
What is y in 2/9*y**2 + 0 - 2/9*y = 0?
0, 1
Let b(p) be the second derivative of -p**6/6 + p**5/4 + 5*p**4/12 - 5*p**3/6 + 13*p. Factor b(j).
-5*j*(j - 1)**2*(j + 1)
Suppose -17*v + 30 = -12*v. Let p be (v/7)/(2/14). Determine y so that -p*y**3 - 30/11*y + 74/11*y**2 + 4/11 + 18/11*y**4 = 0.
1/3, 1, 2
Let g(s) = -s**2 - 4*s + 32. Let u be g(-8). Solve -3/4*q**4 + 1/4*q**5 + u*q + 3/4*q**3 - 1/4*q**2 + 0 = 0 for q.
0, 1
Let y(r) be the first derivative of 5/2*r**2 + 1 + 1/4*r**4 + 2*r + 4/3*r**3. Factor y(p).
(p + 1)**2*(p + 2)
Solve -1/4 - 1/2*n - 1/4*n**2 = 0.
-1
Factor -1/4*j**2 - 9/4 - 3/2*j.
-(j + 3)**2/4
Let q(n) be the third derivative of 0 + 0*n + 1/30*n**5 + 0*n**3 + 1/12*n**4 + 2*n**2. Let q(a) = 0. Calculate a.
-1, 0
Let j(w) = w**4 + 5*w**3 - 11*w**2 + 3*w - 3. Let r(x) = -x**4 - 6*x**3 + 12*x**2 - 2*x + 3. Let o(h) = 6*j(h) + 5*r(h). Factor o(v).
(v - 1)**3*(v + 3)
Suppose 0 = 2*h - 4*h + 4. Factor -12*a**2 + 3*a**h + 2*a + 12*a**3 - 3*a**4 - 2*a**4.
-a*(a - 1)**2*(5*a - 2)
Suppose n - 36 = -3*n. Let 2*h**5 - h**5 + n*h**4 - 11*h**4 = 0. What is h?
0, 2
Factor -32/7 - 2/7*m**2 + 16/7*m.
-2*(m - 4)**2/7
Let r(c) be the second derivative of 0*c**2 + 0 + 0*c**3 - 9*c + 1/189*c**7 + 1/54*c**4 - 1/135*c**6 - 1/90*c**5. Factor r(s).
2*s**2*(s - 1)**2*(s + 1)/9
Factor -1/7*s**2 - 3/7 + 4/7*s.
-(s - 3)*(s - 1)/7
Let z(n) = n**3 + n. Let q(o) = 5*o**3 - o**2 + 5*o. Let l(k) = -6*q(k) + 33*z(k). Find t, given that l(t) = 0.
-1, 0
Suppose 0 = -0*j + 2*j - 4. Suppose -8 = -j*z - 2*z. Factor 20/3*i**3 - 10/3*i**4 - 2/3 + 2/3*i**5 + 10/3*i - 20/3*i**z.
2*(i - 1)**5/3
Let q(g) be the second derivative of -g**7/42 + g**6/30 + g**5/20 - g**4/12 - 16*g. Let q(d) = 0. Calculate d.
-1, 0, 1
Let w(l) = -5*l**2 - l + 6. Let b(s) = 14*s**2 + 3*s - 17. Let i(q) = 4*b(q) + 11*w(q). Factor i(v).
(v - 1)*(v + 2)
Suppose 89*d - 92*d + 9 = 0. Let j(a) be the first derivative of 2 + 4/21*a**d - 3/14*a**4 + 1/7*a**2 + 0*a. Factor j(r).
-2*r*(r - 1)*(3*r + 1)/7
Let l(k) be the third derivative of -k**11/166320 + k**10/18900 - k**9/7560 + k**5/60 - 2*k**2. Let d(o) be the third derivative of l(o). Factor d(q).
-2*q**3*(q - 2)**2
Let a(u) = -u**3 + 4*u**2 + 2*u - 4. Let s(x) = x - 3. Let q be s(6). Let k be a(q). Let v + k*v**3 + 2*v**4 + 8*v + 15*v**2 + v**4 + 2 = 0. Calculate v.
-1, -2/3
Let k(f) = f**2 + 1. Let t(y) = 6*y**2 + 12. Let a(i) = 9*k(i) - t(i). Factor a(x).
3*(x - 1)*(x + 1)
Let q(w) be the third derivative of w**5/60 + 5*w**4/24 + w**3 + w**2. Let x be q(-4). Let 1/4*a**3 + 0 + 1/4*a**x + 0*a = 0. Calculate a.
-1, 0
Suppose 0 = u - 2*u - 53. Let f = u - -373/7. Factor -f + 2/7*j**2 + 0*j.
2*(j - 1)*(j + 1)/7
Suppose -4*h = -0*h - 8. Factor -4*y + 3 + 2*y**h - 2 + 1.
2*(y - 1)**2
Let v(y) be the first derivative of -3*y**7/70 - y**6/20 + 3*y**5/20 + y**4/4 - 3*y**2/2 - 1. Let z(r) be the second derivative of v(r). Factor z(c).
-3*c*(c - 1)*(c + 1)*(3*c + 2)
Factor 1/8*t**2 + 3/8*t + 1/4.
(t + 1)*(t + 2)/8
Let r(i) be the first derivative of 1/3*i**3 + 1/2*i**2 + 3 + 0*i. Suppose r(d) = 0. Calculate d.
-1, 0
Let l(o) = -6*o**5 + 10*o**4 + 6*o**3 - 30*o**2 + 24*o - 12. Let y(r) = -r**5 + r**4 + r**3 - 2*r**2 - 1. Let t(q) = l(q) - 4*y(q). Factor t(j).
-2*(j - 2)*(j - 1)**3*(j + 2)
Let h(i) = -i**3 - 7*i**2 + 8*i. Let o be h(-8). Factor 1/2*s + 1/2*s**2 + o.
s*(s + 1)/2
Let m(h) be the third derivative of -h**5/15 - h**4/2 - 21*h**2. Let m(w) = 0. Calculate w.
-3, 0
Solve 16/5*c**3 + 16/5*c + 4/5*c**4 + 4/5 + 24/5*c**2 = 0.
-1
Let g(s) be the second derivative of s**8/336 - s**7/70 + s**6/120 + s**5/20 - s**4/12 + 5*s**2/2 - 6*s. Let n(c) be the first derivative of g(c). Factor n(x).
x*(x - 2)*(x - 1)**2*(x + 1)
Let d = 196/153 + -18/17. Let g be 2/24*4*15. Solve 4/9*v**2 - 2/9 - 2/9*v**4 - 2/9*v**g + 4/9*v**3 - d*v = 0 for v.
-1, 1
Let n(q) be the first derivative of q**6/720 + q**5/80 + q**3 + 1. Let k(z) be the third derivative of n(z). Let k(m) = 0. Calculate m.
-3, 0
Let p = -2/1045 + 10456/3135. Factor 0 - 4/3*z - p*z**2 + 2/3*z**5 - 2*z**3 + 2/3*z**4.
2*z*(z - 2)*(z + 1)**3/3
Let x(m) be the third derivative of m**8/10080 - m**6/360 + m**5/90 - m**4/8 - 2*m**2. Let n(g) be the second derivative of x(g). Suppose n(a) = 0. Calculate a.
-2, 1
Suppose -6*p + 4*p = 0. Let m(k) be the first derivative of -2 + 0*k + p*k**2 + 1/6*k**3 - 1/2*k**4. Factor m(d).
-d**2*(4*d - 1)/2
Solve 3*t**2 - 102 - 2*t**2 + 102 - 8*t = 0 for t.
0, 8
Let p(w) = -7*w - 37. Let l(y) = -3*y - 18. Let a(c) = 9*l(c) - 4*p(c). Let u be a(18). Factor -2/5*i**2 + 0 + 0*i + 3/5*i**3 - 1/5*i**u.
-i**2*(i - 2)*(i - 1)/5
Let c be (7 - -2)*3/(-9). Let x be (c/2)/((-9)/30). Determine i so that i**4 - 1/3 - 2/3*i**3 + i - 1/3*i**x - 2/3*i**2 = 0.
-1, 1
Let z be ((-72)/(-70))/(24/112). Solve -z*w**4 - 4/5*w**2 - 2*w**5 - 18/5*w**3 + 0*w + 0 = 0 for w.
-1, -2/5, 0
Let n(a) be the first derivative of -a**7/105 + a**6/75 + a**5/50 - a**4/30 + 7*a - 5. Let t(p) be the first derivative of n(p). Factor t(z).
-2*z**2*(z - 1)**2*(z + 1)/5
Let v = -138 - -140. Let 12*p - 9/2 - 1/2*p**4 + 4*p**3 - 11*p**v = 0. Calculate p.
1, 3
Let v(k) be the first derivative of k**5/20 - k**3/6 + k/4 + 1. Factor v(o).
(o - 1)**2*(o + 1)**2/4
Let v = -11 + 23/2. Factor v*j**4 + 1/2*j**5 - 1/2*j**3 + 0 + 0*j - 1/2*j**2.
j**2*(j - 1)*(j + 1)**2/2
Let x(y) be the third derivative of -y**6/12 - y**5/10 + y**4 - 4*y**3/3 - 2*y**2. Find c, given that x(c) = 0.
-2, 2/5, 1
Suppose 2*r = 3*c - 2, -r - 10 = -3*r - 3*c. Let -2/11*o**r + 0*o + 2/11 = 0. What is o?
-1, 1
Let u(h) be the second derivative of -h**5/70 - 5*h**4/42 - h**3/3 - 3*h**2/7 + 2*h. Suppose u(q) = 0. What is q?
-3, -1
Let a(r) be the first derivative of 2*r**4 + 4*r**3 + 8*r + 3. Let f(i) = -i**3 - i**2 + i - 1. Let u = 10 + -11. Let x(b) = u*a(b) - 6*f(b). Solve x(g) = 0.
-1
Suppose 3*g = 2*f + 4, 0 = -3*g + 18*f - 14*f - 4. Solve 0 + 1/4*h**g + 1/4*h**3 - 5/4*h**2 + 3/4*h = 0.
-3, 0, 1
Let b(l) be the first derivative of 3 - 2*l**2 - 10/3*l**3 + 7/2*l**4 + 0*l. Factor b(j).
2*j*(j - 1)*(7*j + 2)
Let t(h) = 9*h**3 + 8*h**2 - 9*h - 8. Let q(u) = 80*u**3 + 72*u**2 - 80*u - 72. Let l(z) = -6*q(z) + 52*t(z). Find b, given that l(b) = 0.
-4/3, -1, 1
Let s(v) = -v**3 - v**2 - v - 1. Let l(w) = -2*w + 6*w**3 - 3*w**2 + 6*w**2 + 8 + w**2. Let d(k) = -l(k) - 4*s(k). Find b such that d(b) = 0.
-2, 1
Suppose 4*c = -n - 16, 1 = -n + c + 5. Find g, given that -2/3*g + n*g**2 + 2/3*g**3 + 0 = 0.
-1, 0, 1
Let o(j) = j + 15. Let p be o(-11). Solve -p - 4*m - 6*m**2 - 4*m - 3*m**2 + 5*m**2 = 0.
-1
Let a be 2/(-12) - (-715)/1122. Find l, given that 0 - 2/17*l + a*l**2 = 0.
0, 1/4
Solve 0 + 6/7*s**2 + 2/7*s**3 + 4/7*s = 0.
-2, -1, 0
Let l be (3 - (-2 - -4))*(-2 - -4). Factor -1/2 - u - 1/2*u**l.
-(u + 1)**2/2
Let f(i) be the first derivative of -2/25*i**5 + 1/5*i**2 - 1/5*i**4 - 3 - 2/5*i + 1/15*i**6 + 4/15*i**3. Factor f(v).
2*(v - 1)**3*(v + 1)**2/5
Let k(c) = c + 12. Let t be -2 - -1 - (-1 - -6). Let m be k(t). Factor -m - 16*s**2 + 12*s + 4 + 15*s**4 + 3*s**4 - 12*s**3.
2*(s - 1)*(s + 1)*(3*s - 1)**2
Let y be (28/42)/(2/12). Let w(z) be the second derivative of 1/50*z**5 + 0*z**y + 0 - z + 0*z**3 - 2/75*z**6 + 0*z**2 + 1/105*z**7. Solve w(s) = 0.
0, 1
Let x = -7 - -4. Let t be ((-1)/6)/(x/12). Suppose t*p**5 + 0*p + 0 - 2/3*p**3 - 2/3*p**4 + 2/3*p**2 = 0. What is p?
-1, 0, 1
Let m(i) be the first derivative of -i**3/9 - 5*i**2/6 - 2*i - 19. Factor m(v).
-(v + 2)*(v + 3)/3
Let o(k) be the third derivative of -k**6/30 - 2