b**6 + 1/36*b**v + 0 + 0*b - 1/27*b**3 + b**2 - 1/90*b**5. Let t(g) = 0. What is g?
1
Let z = 2/79 + -65/5688. Let v(h) be the third derivative of 0 + 0*h**6 - h**2 + 1/90*h**5 - 1/315*h**7 + z*h**4 - 1/1008*h**8 + 0*h + 0*h**3. Factor v(i).
-i*(i - 1)*(i + 1)**3/3
Let d(t) be the third derivative of -1/336*t**8 + 0 + 0*t**4 + 0*t + 0*t**3 + 1/60*t**6 + 2*t**2 + 0*t**5 + 1/210*t**7. Solve d(a) = 0.
-1, 0, 2
Suppose -3*r + 10 = 2*r. Let t(v) be the first derivative of 0*v**2 + r + 0*v + 2/9*v**3 + 1/6*v**4. Determine d, given that t(d) = 0.
-1, 0
Suppose -8*u = 2*u - 13*u. Factor u + 1/5*z**3 + 0*z**4 + 0*z - 1/5*z**5 + 0*z**2.
-z**3*(z - 1)*(z + 1)/5
Suppose 0 = 2*o + 2, -2*o = 2*l - 1 - 1. Let s(t) be the first derivative of 0*t**l + 1/12*t**3 + 0*t + 1/16*t**4 - 2. Solve s(y) = 0.
-1, 0
Factor 0*q - 1/5*q**2 + 1/5.
-(q - 1)*(q + 1)/5
Let v(b) be the third derivative of -3/4*b**4 + 2/3*b**3 - 3*b**2 + 0*b + 0 + 7/30*b**5. Suppose v(n) = 0. What is n?
2/7, 1
Find u such that -11/4*u**4 - 1/2*u - 15/4*u**3 + 0 - 3/4*u**5 - 9/4*u**2 = 0.
-1, -2/3, 0
Let l(y) be the first derivative of -2/3*y**3 - 2/5*y**2 + 3 - 7/15*y**6 + 0*y + 2/5*y**5 + 9/10*y**4. Let l(z) = 0. What is z?
-1, -2/7, 0, 1
Let o(t) be the second derivative of 1/6*t**4 + 0*t**5 + 0 - 1/30*t**6 - 1/2*t**2 + 0*t**3 - 2*t. Factor o(w).
-(w - 1)**2*(w + 1)**2
Suppose 0 = -n + 1, 33 = -3*a + 3*n + 12. Let x(k) = k + 8. Let w be x(a). Factor -1/5*j**w + 0 - 1/5*j.
-j*(j + 1)/5
Let f(m) be the second derivative of -3*m**5/20 + m**4/2 + m**3/2 - 3*m**2 - 26*m. Factor f(s).
-3*(s - 2)*(s - 1)*(s + 1)
Let j(f) be the third derivative of -f**7/70 + f**6/18 - f**5/45 - 22*f**2. Determine h, given that j(h) = 0.
0, 2/9, 2
Let x(t) be the third derivative of 2*t**7/105 - t**6/5 + 13*t**5/15 - 2*t**4 + 8*t**3/3 - 18*t**2. Factor x(l).
4*(l - 2)**2*(l - 1)**2
Let j = 0 - 21. Let l be 15*2/j + 2. Factor -2*u**4 + 2/7 - 16/7*u**3 - 4/7*u**2 - 4/7*u**5 + l*u.
-2*(u + 1)**4*(2*u - 1)/7
Suppose 4 = b + 3. Let j be 1 - (b + 2/(-4)). Solve -1/4*w**2 - j*w - 1/4 = 0 for w.
-1
Let s be ((-6)/4)/(4 + 152/(-32)). Find r, given that -2/11*r**s + 12/11*r - 18/11 = 0.
3
Find h such that -3*h**4 - 15*h**3 - 5*h**5 + 9*h**2 - 10*h**3 + 23*h**4 + h**2 = 0.
0, 1, 2
Let a(m) be the second derivative of -m**7/273 + m**5/65 - m**3/39 - 9*m. Determine g so that a(g) = 0.
-1, 0, 1
Let n(d) = -6*d**4 - 6*d**3 + 3*d**2 + 3*d - 3. Let z(w) = 17*w**4 + 18*w**3 - 9*w**2 - 10*w + 8. Let m(q) = 8*n(q) + 3*z(q). Find r such that m(r) = 0.
-2, -1, 0, 1
Let j(p) = p**2 - p - 1. Let x(i) = -10*i**2 + 10*i + 5. Let v(k) = 5*j(k) + x(k). Factor v(b).
-5*b*(b - 1)
Let o = 50 - 47. Let g(y) be the third derivative of 0*y + 2/33*y**o + 1/330*y**5 - y**2 + 0 - 1/44*y**4. Let g(d) = 0. Calculate d.
1, 2
Let l(k) be the first derivative of k**2 - 3 + 2/9*k**3 + 4/3*k. Find h such that l(h) = 0.
-2, -1
Suppose h - 35 = -4*h. Let k be 12/7 - (-2)/h. Factor 0 - 1/5*u**k - 1/5*u.
-u*(u + 1)/5
Let c be -1*(3 + (1 - 4)). Let 0 + 0*g + c*g**2 - 1/2*g**4 - 1/2*g**3 = 0. Calculate g.
-1, 0
Let o(v) be the second derivative of -v**5/30 + v**4/6 - 4*v**2/3 + v. Factor o(i).
-2*(i - 2)**2*(i + 1)/3
Let t = 2 + 0. Suppose -4*y = -2*l - 0*l - 18, 2*l = -5*y + 36. Factor b - b - y*b**2 + 3*b + t*b**3 + b.
2*b*(b - 2)*(b - 1)
Suppose -55 = 3*p + 413. Let h be 2/(-13) + (-76)/p. Factor h - 5/6*k**2 + 1/2*k.
-(k - 1)*(5*k + 2)/6
Let u(d) be the third derivative of -d**8/3360 + d**7/420 - d**6/120 + d**5/60 - d**4/8 + 3*d**2. Let q(n) be the second derivative of u(n). Factor q(k).
-2*(k - 1)**3
Let z(w) be the second derivative of -w**10/40320 - w**9/20160 + w**8/8960 + w**7/3360 - 7*w**4/12 - 4*w. Let i(k) be the third derivative of z(k). Factor i(r).
-3*r**2*(r - 1)*(r + 1)**2/4
Let y(w) be the first derivative of -2*w**5/5 - w**4 + 2*w**3/3 + 2*w**2 - 3. Solve y(s) = 0.
-2, -1, 0, 1
Let q be -1 + 154/35 - 3. Suppose q*z**2 - 6/5*z + 4/5 = 0. Calculate z.
1, 2
Let j(v) be the second derivative of -2*v + 1/3*v**2 - 13/18*v**3 + 5/9*v**4 - 3/20*v**5 + 0. Factor j(i).
-(i - 1)**2*(9*i - 2)/3
Let q be 10/(-16)*-3*8/60. Factor -1/4*g**2 + 0 + q*g.
-g*(g - 1)/4
Let n = 13 + -8. Let j be (n + 0)/(3 + -2). Factor 7*c - j*c - c**2 - 2*c.
-c**2
Let q(o) be the second derivative of o**9/1260 - o**8/420 + o**7/630 - o**4/4 + 5*o. Let i(h) be the third derivative of q(h). Let i(s) = 0. What is s?
0, 1/3, 1
Let j(m) = m**2 - 6*m - 6. Let i be j(5). Let t(p) = -9*p**2 + 4*p + 2. Let s(u) = 5*u**2 - 2*u - 1. Let v(l) = i*s(l) - 6*t(l). Factor v(a).
-(a + 1)**2
Suppose 4*z + 11 = 4*o - 1, 0 = -4*z + 2*o - 6. Factor z*y - y - y**3 - 3*y**2 + y**2.
-y*(y + 1)**2
Let f = -7368/5 - -1485. Let b = f + -379/35. Factor 2/7*w**4 + 0*w**2 + 4/7*w - b*w**3 - 2/7.
2*(w - 1)**3*(w + 1)/7
Let v(d) be the second derivative of 0 + 0*d**3 - 1/10*d**5 - 5*d + 0*d**2 - 1/6*d**4. Factor v(h).
-2*h**2*(h + 1)
Suppose 2*g = -3*a - 4, 0*a + 33 = 4*a - 5*g. Let m(s) be the first derivative of 0*s**3 + 0*s**a + 1/8*s**4 + 1/10*s**5 + 0*s - 2. Factor m(y).
y**3*(y + 1)/2
Let f = -9 + 11. Let t be f/11 + (-100)/(-55). Find x such that -2*x - t*x - 3*x**2 + x = 0.
-1, 0
Let j = -3 - -1. Let b(h) = 3*h**2 - 3*h. Let s(y) be the first derivative of y**3/3 - y**2/2 - 1. Let l(u) = j*b(u) + 5*s(u). Determine x so that l(x) = 0.
0, 1
Let x(g) be the second derivative of -12*g**6/7 - 123*g**5/70 + 29*g**4/21 + 4*g**3/3 - 8*g**2/7 - 2*g + 26. Find r such that x(r) = 0.
-2/3, 1/4, 2/5
Let t(s) be the first derivative of 0*s**3 - 1/30*s**5 + 0*s**6 + 1/105*s**7 + 0*s + 1 + 0*s**4 - s**2. Let y(c) be the second derivative of t(c). Factor y(z).
2*z**2*(z - 1)*(z + 1)
Let q(v) = 4*v**2 - 2. Let s(y) = y**2. Let o(f) = -q(f) + 2*s(f). Factor o(t).
-2*(t - 1)*(t + 1)
Suppose 4*z - 20 + 8 = 0. Suppose 0 = -l - z*c - 4, -3*l - 3*c = 0. Solve j**2 + 1 + 3 + l*j + 2*j = 0 for j.
-2
Let m(i) = -i**2 + i + 6. Let o be m(-2). Let g(f) be the third derivative of 0*f + 2*f**2 - 1/84*f**4 + 0*f**5 + 1/420*f**6 + 0 + o*f**3. Factor g(x).
2*x*(x - 1)*(x + 1)/7
Let z be (-26)/(-24) + (-6 + 7)*-1. Let x(g) be the first derivative of 0*g - 1 + 0*g**2 + 1/8*g**4 - z*g**6 - 1/6*g**3 + 1/10*g**5. Factor x(p).
-p**2*(p - 1)**2*(p + 1)/2
Let h(t) = -t**2 + t - 6. Let a(g) = 1. Let j(n) = 6*a(n) + h(n). Factor j(w).
-w*(w - 1)
Let q(u) be the third derivative of 0*u + 0 + 1/1080*u**6 - u**2 - 1/360*u**5 - 1/3*u**3 + 0*u**4. Let g(c) be the first derivative of q(c). Factor g(m).
m*(m - 1)/3
Let h(d) = -2*d + d**2 + 4*d - d**4 + 1 - d. Let a(o) = 4*o**2 + 2*o - 2. Let p(g) = a(g) + 2*h(g). Determine b, given that p(b) = 0.
-1, 0, 2
Let r(d) = d - 3. Let y be r(6). Let t = -1 + y. Suppose t*o**4 + 0 + 2/5*o**2 - 16/5*o**3 + 4/5*o = 0. Calculate o.
-2/5, 0, 1
Let j be -4*3/72 - (-1)/2. Let z(b) be the second derivative of -1/60*b**5 + 1/9*b**4 - b + j*b**2 + 0 - 5/18*b**3. Let z(d) = 0. Calculate d.
1, 2
Suppose -3*b = b - 12. Suppose -3*j + 0*j + 21 = 0. Factor -2*y**2 - 6*y**3 - 2*y**5 + y**4 - 3 - j*y**4 + b.
-2*y**2*(y + 1)**3
Factor 0*r**2 - 2/3*r**3 + 0 - 2/3*r**4 + 0*r.
-2*r**3*(r + 1)/3
Let 0*k**2 + 716*k - 22 - 692*k - 2*k**2 = 0. Calculate k.
1, 11
Let z(q) be the first derivative of -4*q**5/5 + 4*q**4 - 20*q**3/3 + 4*q**2 + 22. Let z(i) = 0. Calculate i.
0, 1, 2
Let y be 3/15*280/21. Find b, given that 2/3*b**4 + 10/3*b**2 - 4/3*b + 0 - y*b**3 = 0.
0, 1, 2
Let u(r) = -2*r**3 - 10*r**2 - r - 2. Let j be u(-5). Let t(d) be the second derivative of -2/3*d**j - 1/6*d**4 - d**2 + 0 + 3*d. Solve t(b) = 0.
-1
Let q(x) = x**2 + 2*x - 2. Let b be q(-5). Let p be (2/(-12))/(b/(-117)). Factor -1 - p*o - 1/2*o**2.
-(o + 1)*(o + 2)/2
Let s(t) be the third derivative of 1/40*t**5 - 1/80*t**6 - 1/140*t**7 + 0*t**3 + 0 + 1/16*t**4 - 8*t**2 + 0*t. Factor s(l).
-3*l*(l - 1)*(l + 1)**2/2
Let t(b) = -5*b**2 + 2*b. Let i(n) = 6*n**2 - 2*n. Suppose 10 = -5*y - 4*l, 14 = -4*y + 3*l - 25. Let k(x) = y*t(x) - 4*i(x). Factor k(a).
2*a*(3*a - 2)
Let g(f) be the first derivative of -4*f**3/21 - 2*f**2/7 - 11. Factor g(c).
-4*c*(c + 1)/7
Let j(i) = i**2 + i + 1. Let a(v) = 4*v**2 - v + 7. Let b(s) = 2*a(s) - 6*j(s). Factor b(n).
2*(n - 2)**2
Let g(o) be the second derivative of o**7/280 + o**6/60 + o**5/40 - o**3/2 - 5*o. Let j(p) be the second de