+ l*g**2 + 14/5*g**3 + 12/5*g**4 - 2/5*g = 0.
-1, -1/2, 0, 1/3
Let f(j) = -4 - j + 3 + 2*j - 7*j. Let r be f(-1). Find l, given that 0*l**2 + 0*l - 1/3*l**r + 1/3*l**3 + 0*l**4 + 0 = 0.
-1, 0, 1
Let z(j) be the third derivative of j**8/168 + 2*j**7/105 - j**6/80 - 7*j**5/120 - j**4/24 + 8*j**2. Determine c, given that z(c) = 0.
-2, -1/2, 0, 1
Let s = 1475/42 - 254/7. Let r = s - -41/30. Find q such that r*q**2 + 1/5*q - 1/5 - 1/5*q**3 = 0.
-1, 1
Let d(j) = j**3 - 7*j**2 + 10*j. Let f be d(5). Let 2/5*z**2 + f + 0*z = 0. What is z?
0
Suppose 2*m + 4 = 4. Suppose -2/5*n**4 + 0 + 2/5*n**5 + m*n**3 + 0*n**2 + 0*n = 0. What is n?
0, 1
Let c(i) be the third derivative of i**8/47040 - i**6/5040 + i**4/4 + 6*i**2. Let t(v) be the second derivative of c(v). Factor t(r).
r*(r - 1)*(r + 1)/7
Let c = 5 - 1. Factor 3*n - c*n + n - 2*n**2.
-2*n**2
Let x(w) = 12*w**3 + 20*w**2 + 20*w - 20. Let l(s) = -s**3 - s**2 - s + 1. Let f(r) = -16*l(r) - x(r). Let f(z) = 0. Calculate z.
-1, 1
Let u(g) be the first derivative of -3*g**6/20 + 3*g**5/10 - g**4/8 - 3*g - 1. Let t(d) be the first derivative of u(d). Suppose t(x) = 0. Calculate x.
0, 1/3, 1
Let l(r) be the first derivative of 0*r + 1/96*r**4 - 1/2*r**2 + 0*r**3 - 1/240*r**5 - 2. Let p(k) be the second derivative of l(k). Factor p(f).
-f*(f - 1)/4
Let x(k) be the third derivative of k**5/630 - k**4/42 + 7*k**2. Factor x(c).
2*c*(c - 6)/21
Factor -130*q**2 + 87*q**3 + 2 + 4*q - 24*q**3 + 6.
(q - 2)*(7*q - 2)*(9*q + 2)
Let i(x) be the first derivative of 6*x**5/5 + 2*x**4 - 10*x**3/9 - 4*x**2 - 8*x/3 - 37. Find w such that i(w) = 0.
-1, -2/3, 1
Factor -z - 20*z + 4*z**2 + 0*z**2 - z**2.
3*z*(z - 7)
Suppose 29 = -5*q + 2*d, 12 = -4*d - 0. Let f = q - -10. Factor 2 + s**2 + s**2 + f*s - 7*s.
2*(s - 1)**2
Factor n**2 + 0*n + 5/4*n**4 + 0 + 3*n**3.
n**2*(n + 2)*(5*n + 2)/4
Let q(y) = y**5 - y**3 + y**2 - y. Let l(m) = 30*m**5 + 15*m**4 - 15*m**3 + 15*m**2 - 40*m - 5. Let t(p) = l(p) - 25*q(p). Solve t(c) = 0.
-1, 1
Let q(t) be the third derivative of 5*t**8/336 + t**7/105 - t**6/4 + 7*t**5/15 + t**4/24 - t**3 - 55*t**2. Factor q(b).
(b - 1)**3*(b + 3)*(5*b + 2)
Let c(b) be the third derivative of -b**6/10 + 7*b**5/15 - 5*b**4/6 + 2*b**3/3 - 5*b**2. Solve c(n) = 0.
1/3, 1
Factor 8/15 + 32/15*j + 14/15*j**2.
2*(j + 2)*(7*j + 2)/15
Factor 0 + 0*y + 4/7*y**2 + 12/7*y**3 + 8/7*y**4.
4*y**2*(y + 1)*(2*y + 1)/7
Let p(n) be the third derivative of -n**6/120 - n**3/6 + n**2. Let z(u) be the first derivative of p(u). Suppose z(f) = 0. Calculate f.
0
Let w(a) be the second derivative of -a**8/9240 + a**7/1540 - a**6/660 + a**5/660 - a**3/6 + 3*a. Let s(u) be the second derivative of w(u). Factor s(j).
-2*j*(j - 1)**3/11
Let f(i) be the second derivative of -i**5/34 - 13*i**4/102 - 4*i**3/51 + 4*i**2/17 + 30*i. Let f(w) = 0. Calculate w.
-2, -1, 2/5
Let u(g) = -3 + 2*g - 4*g**2 + 4 + 3 - 2*g**2. Let y(a) = -5*a**2 + 2*a + 3. Let b(h) = 4*u(h) - 5*y(h). Factor b(p).
(p - 1)**2
Let j(v) be the first derivative of -v**4/16 + v**3/4 - v + 20. Factor j(g).
-(g - 2)**2*(g + 1)/4
Let -6 - 3*y**3 - 28*y - 10 - 20*y**2 + 4 - y**3 = 0. Calculate y.
-3, -1
Let v(r) be the second derivative of r**6/210 + r**5/140 - r**4/28 - r**3/42 + r**2/7 - 10*r. What is z in v(z) = 0?
-2, -1, 1
Suppose -2*c - 3*t = -16, 2*c + 5*t - 26 = -c. Factor 2 - 2 - 2*u + 0 - u**c.
-u*(u + 2)
Factor 0 - 1/4*g**3 - 5/2*g**2 - 25/4*g.
-g*(g + 5)**2/4
Let s(j) = 2*j**2 - 43*j + 241. Let l(r) = r - 1. Let u(z) = -2*l(z) + 2*s(z). Factor u(o).
4*(o - 11)**2
Let k(m) be the third derivative of m**6/40 + m**5/10 - m**4/8 - m**3 - 6*m**2. Factor k(o).
3*(o - 1)*(o + 1)*(o + 2)
Let j = -7 + 10. Let l(p) be the third derivative of 0*p + 1/60*p**4 + 0 - 1/150*p**5 + 2*p**2 + 2/15*p**j. Factor l(m).
-2*(m - 2)*(m + 1)/5
Find q such that 2*q + 2 + 1/2*q**2 = 0.
-2
Let p(g) be the third derivative of 1/16*g**4 - 1/16*g**5 - 3/160*g**6 + 0 + 0*g**3 + 6*g**2 + 0*g. Solve p(m) = 0.
-2, 0, 1/3
Let h(w) = -w + 5. Let y be h(5). Let j = y - -3. Suppose -1/4*b**5 + 0 + 0*b**4 + 0*b**j + 0*b**2 + 0*b = 0. What is b?
0
Factor 3/2 + 2*v + 1/2*v**2.
(v + 1)*(v + 3)/2
Let d(z) be the third derivative of 9/2*z**3 + 1/20*z**5 + 0*z + 3/4*z**4 + 0 + 3*z**2. Let d(j) = 0. Calculate j.
-3
Let f(g) be the first derivative of -g**7/420 - g**6/90 - g**5/60 + g**3/3 + 4. Let u(p) be the third derivative of f(p). Suppose u(y) = 0. What is y?
-1, 0
Let a(o) be the second derivative of -o**5/80 - o**4/48 + 5*o**3/24 - 3*o**2/8 + 24*o. Let a(u) = 0. What is u?
-3, 1
Factor -4*a + 16*a**2 - 9*a**2 - a**2 - 2*a**3.
-2*a*(a - 2)*(a - 1)
Suppose 1 = -4*w + 2*d - 1, -d - 14 = 3*w. Let p = 6 + w. Determine r so that r**2 + 0*r**p + r**2 - r - r**3 = 0.
0, 1
Let l(b) = -10*b + 12. Let g be l(1). Factor 2/11*w**3 + 2/11 - 2/11*w - 2/11*w**g.
2*(w - 1)**2*(w + 1)/11
Let r be 20502/405*(-6)/(-4). Let t = r - 217/3. Factor -4/5 - t*m**2 - 14/5*m - 2*m**3 - 2/5*m**4.
-2*(m + 1)**3*(m + 2)/5
What is x in -4*x + 2*x**2 + 2 + 3*x**2 - 3*x**2 = 0?
1
Let h(n) be the second derivative of 1/168*n**7 + 0*n**2 - 1/40*n**6 + 3/80*n**5 + 0*n**3 - 4*n + 0 - 1/48*n**4. Suppose h(a) = 0. Calculate a.
0, 1
Let o(w) be the second derivative of 6*w**6/5 - 57*w**5/20 + w**4/12 + 16*w**3/3 - 6*w**2 - 29*w. Factor o(d).
(d - 1)*(3*d - 2)**2*(4*d + 3)
Let l(s) be the first derivative of 0*s - 16/3*s**3 - 6 - 4*s**4 - 2*s**2. Let l(h) = 0. What is h?
-1/2, 0
Let a = -9 - -11. Find v, given that 13 - 2*v**a + 6*v**3 - 13 = 0.
0, 1/3
Let x(v) = 3*v**3 - v**2 + 1. Let s be x(1). Factor 6*r**2 - 5*r - 162*r**s - 6*r + 66*r**2 + 3*r.
-2*r*(9*r - 2)**2
Let l = 111 - 551/5. Factor -6/5*o**2 + l*o**3 + 2/5*o + 0.
2*o*(o - 1)*(2*o - 1)/5
Let u(o) be the first derivative of -o**6/12 + 7*o**5/30 - o**4/8 - o**3/6 + o**2/6 - 5. Find a such that u(a) = 0.
-2/3, 0, 1
Let p(u) be the third derivative of -3*u**6/40 - 2*u**5/5 - 7*u**4/8 - u**3 + 4*u**2. Factor p(j).
-3*(j + 1)**2*(3*j + 2)
Let y be (-7 + 3 - -4)/(-2). Let i(n) be the second derivative of 2/27*n**3 + 1/6*n**4 - n + 1/27*n**6 + y*n**2 + 0 + 2/15*n**5. Determine r so that i(r) = 0.
-1, -2/5, 0
Let l(i) be the first derivative of 1/10*i**4 + 0*i**3 + 0*i + 2 + 4/25*i**5 + 0*i**2 + 1/15*i**6. Determine u so that l(u) = 0.
-1, 0
Let p(j) = 13*j**3 + 8*j**2 + 5*j - 8. Let t(a) = 24*a**2 - 22*a**2 + 2*a**3 - 2 + a**3 + a. Let f(l) = 2*p(l) - 9*t(l). Factor f(o).
-(o - 1)*(o + 1)*(o + 2)
Suppose 0 = 4*p - 3*p. Suppose -c - 2*c + 9 = p. Find m such that -2 - 5*m**3 + m + m**2 + 1 + 4*m**c = 0.
-1, 1
Let t = 1291/10 - 129. Let n(u) be the second derivative of 1/3*u**4 + t*u**5 + 0*u**2 - 2*u + 1/3*u**3 + 0. What is o in n(o) = 0?
-1, 0
Let i(l) be the first derivative of -l**4/2 - 2*l**3 - 3*l**2 - 2*l + 8. Find m, given that i(m) = 0.
-1
Let s(y) be the second derivative of y**8/4480 - y**7/840 + y**4/3 - y. Let z(v) be the third derivative of s(v). Determine x so that z(x) = 0.
0, 2
Let w be 2/(-7) - (-652)/910. Let k = w - 3/13. Find n, given that 2/5*n**2 - 1/5*n + 0 - k*n**3 = 0.
0, 1
Let n(c) = -2*c**3 + 2*c**2 + 8*c + 4. Let m(f) be the first derivative of f**4/2 - 2*f**3/3 - 9*f**2/2 - 5*f - 6. Let a(v) = 6*m(v) + 7*n(v). Factor a(t).
-2*(t - 1)**2*(t + 1)
Let 7*k + 3*k**2 + 2*k + 6 + 0*k = 0. Calculate k.
-2, -1
Let c(q) = q**4 + 3*q**3 + 3*q**2 - 2*q - 3. Let u(a) = -a - 1. Let o be (-12)/(-10)*(-10)/(-4). Let y(v) = o*u(v) - c(v). Factor y(i).
-i*(i + 1)**3
Factor -22/9*a + 4/9 + 10/9*a**4 + 14/3*a**2 - 34/9*a**3.
2*(a - 1)**3*(5*a - 2)/9
Let m(v) be the second derivative of 2*v**5/5 - 5*v**4 + 38*v**3/3 - 12*v**2 + 10*v. Factor m(x).
4*(x - 6)*(x - 1)*(2*x - 1)
Let o(t) = -5 + 3 - t**2 + 3. Let n(u) be the second derivative of -5*u**4/12 + 3*u**2/2 - u. Let j(z) = n(z) - 3*o(z). Determine c so that j(c) = 0.
0
Let n be -1*2*(-3)/3. Factor -q**3 - 2*q**3 + 6*q + 12*q**2 - 15*q**n.
-3*q*(q - 1)*(q + 2)
Factor 0*k**4 + 0*k**2 - 2/9*k**5 + 4/9*k**3 + 0 - 2/9*k.
-2*k*(k - 1)**2*(k + 1)**2/9
Let q = 46 + -41. Let g(m) be the third derivative of -1/6*m**4 + 0 + 1/60*m**q + 3*m**2 + 0*m + 2/3*m**3. Factor g(c).
(c - 2)**2
Let t be 8/(-12)*1 - (-8)/6. Let q(u) be the first derivative of -t*u**2 - 2/27*u**3 - 2*u + 4. Find y such that q(y) = 0.
-3
Let j(t) be the second derivative of t*