3/3 - 3. Let o(y) be the third derivative of n(y). Solve o(x) = 0 for x.
-1, 0, 1
Let r(a) be the third derivative of -a**5/210 + 4*a**3/21 + 12*a**2. Determine o so that r(o) = 0.
-2, 2
Let d be 2/(-6)*(-3)/4. Factor d*s**4 + 0 + 0*s + 1/2*s**2 - 3/4*s**3.
s**2*(s - 2)*(s - 1)/4
Let w = -3 + 5. Factor -5*b - 10*b - 7*b**5 + 34*b**2 + w - 50*b**3 + 6*b**2 + 30*b**4.
-(b - 1)**4*(7*b - 2)
Let o(x) be the third derivative of -x**8/11760 - x**7/2940 - x**6/2520 + 5*x**3/6 - 6*x**2. Let w(a) be the first derivative of o(a). Factor w(j).
-j**2*(j + 1)**2/7
Suppose -w - 3*s + 17 = 0, -w = 4*s + 2 - 24. Let c(f) be the third derivative of 5*f**w + 0 + 0*f + 1/180*f**5 + 0*f**3 - 1/72*f**4. Factor c(o).
o*(o - 1)/3
Suppose 5*k - 5 = -2*q + 6*q, 4*q - 3*k = -3. Solve 3/2*d**4 + 3/2 + q*d**3 + 0*d - 3*d**2 = 0 for d.
-1, 1
Let y(l) be the first derivative of -l**6/75 + l**4/10 + 2*l**3/15 + 4*l + 4. Let v(b) be the first derivative of y(b). Determine q so that v(q) = 0.
-1, 0, 2
Factor -21/4*i**3 + 9*i**2 - 9/4*i - 3/2.
-3*(i - 1)**2*(7*i + 2)/4
Let k(n) = -n**2 + 10. Let m(b) = -3*b**2 - b + 31. Let w(s) = 14*k(s) - 4*m(s). Factor w(l).
-2*(l - 4)*(l + 2)
Let k(c) be the third derivative of -c**7/3780 - c**6/1080 - 7*c**4/24 + 4*c**2. Let z(n) be the second derivative of k(n). Solve z(f) = 0 for f.
-1, 0
Let h(p) be the third derivative of p**6/720 - p**5/480 - p**4/96 - p**3/6 - p**2. Let y(t) be the first derivative of h(t). Factor y(k).
(k - 1)*(2*k + 1)/4
Solve -4/17 - 2/17*s**3 - 10/17*s - 8/17*s**2 = 0.
-2, -1
Let v(s) = s**2 + s - 2. Let z be v(3). Let f(w) = w - 8. Let b be f(z). Factor 0 + o + 3*o**2 - 2*o**4 - b - o**3 + o**4.
-(o - 1)**2*(o + 1)*(o + 2)
Let v = 279 + -274. Find j, given that 0 + 9/4*j**3 + 3/4*j**v + 0*j + 3/4*j**2 + 9/4*j**4 = 0.
-1, 0
Let c = 873 - -96. Let u = -1899/2 + c. Find r such that 2/3 - 20/3*r + u*r**2 - 27/2*r**3 = 0.
2/9, 1
Factor f - 4*f**2 - 3*f**3 - f - f**3.
-4*f**2*(f + 1)
Let j(t) be the third derivative of t**5/15 - 2*t**3/3 - 10*t**2. Let j(l) = 0. Calculate l.
-1, 1
Let b be (-1 - 3) + -7 + 6. Let q = 11/2 + b. Find u such that q*u**2 + 0*u - 1/2*u**4 + 0 + 0*u**3 = 0.
-1, 0, 1
Let v(z) be the second derivative of -z**7/42 + z**5/20 + 26*z. Find o such that v(o) = 0.
-1, 0, 1
Let l = 5 + 1. Let k(r) be the second derivative of 0 - r + 1/48*r**4 + 1/80*r**5 + 0*r**3 - 1/120*r**l + 0*r**2 - 1/168*r**7. Let k(f) = 0. Calculate f.
-1, 0, 1
Let m(j) be the second derivative of -j**6/50 + 3*j**4/20 - j**3/5 + 35*j. Factor m(x).
-3*x*(x - 1)**2*(x + 2)/5
Let b(k) = k**3 + 7*k**2 + 11*k + 5. Let s be (-42)/35 + (-4)/5. Let f(p) = -p**3 - p**2 + p + 1. Let u(z) = s*f(z) + b(z). Factor u(j).
3*(j + 1)**3
Let h be (3 + 0)/((-3)/(-2)). Let d = -871 - -874. Suppose -2/5 + 2*y**d - 6/5*y**h + 8/5*y**4 - 2*y = 0. What is y?
-1, -1/4, 1
Let w(s) be the third derivative of -1/210*s**7 + 7/24*s**4 + 1/24*s**6 - 1/3*s**3 - 3/20*s**5 + 0*s + 0 + 3*s**2. Find x, given that w(x) = 0.
1, 2
What is w in 0 + 3/4*w**2 + 3/4*w**3 + 0*w = 0?
-1, 0
Let r(g) be the second derivative of 4*g**7/315 + g**6/45 + g**5/60 + g**4/6 - 5*g. Let x(s) be the third derivative of r(s). Factor x(d).
2*(4*d + 1)**2
Let r = -1527 - -36655/24. Let u(f) be the second derivative of 0 - f**2 - f - r*f**4 + 4/3*f**3. Suppose u(h) = 0. Calculate h.
2/7, 2
Suppose 3*k + 0*n - 3*n = -9, 15 = 3*k + 5*n. Determine s, given that 4 + k*s**2 - 6*s + s**2 + s**2 = 0.
1, 2
Find z such that -4/9*z - 1/9*z**2 - 1/3 = 0.
-3, -1
Let 0 + 3/2*v**4 + 3*v**3 - 3/2*v**2 - 3*v = 0. Calculate v.
-2, -1, 0, 1
Let x(q) = -7*q**2 + 5*q + 3. Let r(s) = -8*s**2 + 5*s + 3. Let k(b) = -6*r(b) + 7*x(b). Let v be k(5). Suppose -2*c**2 + c**3 + 3*c - v*c + c = 0. Calculate c.
0, 1
Factor 2 + 1/3*r - 1/3*r**2.
-(r - 3)*(r + 2)/3
Let c(n) be the first derivative of -5*n**4/4 - 40*n**3/3 - 40*n**2 + 57. Factor c(h).
-5*h*(h + 4)**2
Let a be (-4)/(-22) + (-1400)/2618. Let s = 76/119 + a. Factor s*i**2 - 6/7*i**3 + 6/7*i - 2/7.
-2*(i - 1)*(i + 1)*(3*i - 1)/7
Let j(f) be the first derivative of 2*f**6/3 - 12*f**5/5 + 2*f**4 + 8*f**3/3 - 6*f**2 + 4*f + 14. Solve j(k) = 0 for k.
-1, 1
Suppose 132*m = 129*m + 12. Factor -2/7*k**2 + 0*k + 0 - 2/7*k**m + 4/7*k**3.
-2*k**2*(k - 1)**2/7
Let k(v) be the first derivative of -v**6/21 + 3*v**5/35 - v**3/21 - 11. Factor k(n).
-n**2*(n - 1)**2*(2*n + 1)/7
Factor p - 1/2 + 1/8*p**3 - 5/8*p**2.
(p - 2)**2*(p - 1)/8
Let m(r) = 4*r**4 - 12*r**3 - 20*r + 12. Let z(d) = -d**3 + d**2 - d + 1. Let i(l) = -m(l) + 12*z(l). Factor i(c).
-4*c*(c - 2)*(c + 1)**2
Let b be -1 + -2 - (-4 - 1). Let t(s) be the third derivative of -1/420*s**6 - 1/735*s**7 + 0*s - s**b + 0 + 0*s**3 + 0*s**5 + 0*s**4. Solve t(o) = 0 for o.
-1, 0
Let l = -15 + 20. Find y such that -6*y**3 - 2*y + 10*y + 3*y**5 - l*y = 0.
-1, 0, 1
Let p be 17/4 + (-2)/8. Let k(x) = -5*x**5 + 16*x**4 - 11*x**3 - 11. Let g(f) = f**5 - 3*f**4 + 2*f**3 + 2. Let h(n) = p*k(n) + 22*g(n). Solve h(t) = 0.
0, 1
Factor -4/5*y**2 + 6/5*y**4 - 6/5*y + 4/5*y**3 + 2/5*y**5 - 2/5.
2*(y - 1)*(y + 1)**4/5
Let u(r) be the second derivative of 1/90*r**5 + 2/9*r**3 + 1/12*r**4 + 3/2*r**2 + 0 + r. Let b(d) be the first derivative of u(d). Factor b(a).
2*(a + 1)*(a + 2)/3
Factor 1/3*q**5 + 6*q - 7/3*q**3 + 0 + 5*q**2 - q**4.
q*(q - 3)**2*(q + 1)*(q + 2)/3
Let p(i) be the second derivative of 0*i**4 + 0 + 0*i**2 - 1/15*i**3 + 1/50*i**5 - 4*i. Factor p(b).
2*b*(b - 1)*(b + 1)/5
Let y(q) be the second derivative of -4*q**6/5 + 9*q**5/10 - q**4/4 - 9*q - 3. Factor y(k).
-3*k**2*(2*k - 1)*(4*k - 1)
Suppose -f - 12 = -5*r, -5*r + 3*f - f = -9. Let i(q) be the third derivative of 0 + 5/108*q**4 + 7/270*q**5 + 0*q - 2/27*q**r + 3*q**2. What is m in i(m) = 0?
-1, 2/7
Let k be (0 + -1)*0/4. Suppose -3*h + 9 = -k*h. Determine w so that -5/2*w**2 + 5/2*w**4 + 3/2*w**5 - 1/2*w**h + 0 - w = 0.
-1, -2/3, 0, 1
Suppose 17 = 4*p - 7. Let b be (1/((-4)/p))/(-3). Solve -1/4*w + 1/4*w**5 + 0 + 0*w**3 - 1/2*w**2 + b*w**4 = 0 for w.
-1, 0, 1
Let m(q) be the first derivative of 1/2*q**2 - 1/12*q**4 + 0*q - 1/40*q**6 + 0*q**3 - 1 + 1/12*q**5. Let b(u) be the second derivative of m(u). Factor b(r).
-r*(r - 1)*(3*r - 2)
Let u(t) = -t**2 + 5*t + 4. Let n(m) = m**2 - m - 1. Let v(k) = 2*n(k) + u(k). Factor v(o).
(o + 1)*(o + 2)
Let f = -7 + 9. Factor l - 2*l + 5*l**2 + 1 - 4*l**f - 3*l**2.
-(l + 1)*(2*l - 1)
Suppose 0*l - 3*l = 3, -4*a - 2*l + 10 = 0. Let d be -1 + 3 + 1*a. Factor -3*o**3 - 4*o**2 + 2*o**2 + 2*o**4 + d*o**3 - 2*o.
2*o*(o - 1)*(o + 1)**2
Factor 2/7*v**2 + 0*v + 0 + 2/7*v**3.
2*v**2*(v + 1)/7
Let v(s) = 190*s**4 + 190*s**3 - 408*s**2 - 22*s + 26. Let f(m) = -m**4 - m**3 - m - 1. Let i(j) = 6*f(j) - v(j). What is y in i(y) = 0?
-2, -2/7, 2/7, 1
Find z, given that 3*z**2 - 3*z - 13*z**2 + 7*z**2 + 6*z = 0.
0, 1
Let h(w) = w**2 + 6*w + 3. Let g be h(-6). Let k(b) be the third derivative of 0 - 1/6*b**4 + 0*b + 1/30*b**5 + b**2 + 1/3*b**g. Let k(q) = 0. What is q?
1
Let k(j) be the first derivative of -j**4/26 - 6. Determine v, given that k(v) = 0.
0
Let z(v) be the second derivative of v**6/55 + 7*v**5/110 + v**4/33 - 4*v. Solve z(t) = 0.
-2, -1/3, 0
Suppose -3/5*f**2 - 3/5 - 6/5*f = 0. What is f?
-1
Factor 0 - 2/7*t - 2/7*t**2.
-2*t*(t + 1)/7
Let f(d) be the first derivative of 2*d**3/15 - 2*d**2/5 + 10. Suppose f(z) = 0. Calculate z.
0, 2
Determine y, given that -12*y**3 - 16*y**2 - 4*y**5 - 3*y + 16*y + 16*y**4 + 0*y + 3*y = 0.
-1, 0, 1, 2
Suppose -1/4*h**2 + 7*h - 49 = 0. Calculate h.
14
Let l(q) = -q**3 - 7*q**2 + q + 4. Let t be l(-7). Let x = t - -6. Solve -b**2 + x*b + 2*b - 3*b = 0 for b.
0, 2
Factor -4 - 8*s**2 - 10*s + 8*s**3 - 61*s**5 + 65*s**5 - 2*s + 12*s**4.
4*(s - 1)*(s + 1)**4
Suppose 0*a = 3*a + 3*u - 24, -3*a + u = -44. Factor -3*g**3 + g**3 + 7*g**5 + 18*g**4 - a*g**4.
g**3*(g + 1)*(7*g - 2)
Let r(k) be the third derivative of -k**5/300 + k**4/10 - 6*k**3/5 + 8*k**2. Factor r(n).
-(n - 6)**2/5
Let y(x) be the first derivative of 2*x**5/55 - 2*x**4/11 + 8*x**3/33 - 17. Determine k so that y(k) = 0.
0, 2
Let j be 105/3 + (0 - 2). Let i = j - 33. What is z in i + 3/5*z**2 + 3/5*z = 0?
-1, 0
Let t(r) be the third derivative of r**5/60 + 41*r**4/24 - 16*r**3 - 2*r**2. Let n(d) = -14*d + 32. Let w(v) = 14*n(v) + 4*t(v). Solve