(n). Factor w(r).
-2*r**2*(r - 1)
Let s = 1/21 - -115/231. Determine k, given that 2/11*k**3 + 6/11*k**2 + s*k + 2/11 = 0.
-1
Let i be (-8 + 7)*(0 - 4). Suppose -t + i = 1. Factor a**4 + a**4 - 3*a**t + 5*a**3.
2*a**3*(a + 1)
Let g(i) = -i**2 + 2*i + 2. Let t be g(3). Let s be (-6)/(-1*(t - -2)). Find n such that -s*n + 2*n**2 - 8*n**2 - n**3 - 2 - n**3 = 0.
-1
Let c = 4/433 + 10348/4763. Solve 2/11*d**3 + c*d - 16/11 - 12/11*d**2 = 0.
2
Let f = 4 + -5. Let m(l) = 2*l**2 - l - 1. Let i be m(f). Find a, given that 13*a**3 - 1 - 4*a**i - 14*a + 5 + a**3 = 0.
-1, 2/7, 1
Let s(x) be the second derivative of x**8/4200 - x**7/2100 - x**6/450 + x**3/3 - x. Let k(n) be the second derivative of s(n). Factor k(m).
2*m**2*(m - 2)*(m + 1)/5
Let j(o) = -5*o**4 - 13*o**3 - 9*o**2 + 25*o. Let t(m) = -16*m**4 - 38*m**3 - 27*m**2 + 74*m. Let d(a) = -7*j(a) + 2*t(a). Suppose d(k) = 0. What is k?
-3, 0, 1
Let u(p) = -3 + 0*p + p**3 - 2*p**2 - p - p. Let z be u(3). Solve z + 3/2*i**2 - i = 0.
0, 2/3
Find w such that 9 - 7*w**2 - 35*w + 32*w**2 - 5*w**3 + 6 = 0.
1, 3
Suppose -t - 4 = -3*o - 23, -4*t - 5*o - 9 = 0. Suppose 5*y = 2*y + 6. Factor 3*r**y + 2*r**3 + 3*r**3 - r**2 + 3*r**4 - 10*r**t.
-r**2*(r - 1)*(7*r + 2)
Let t(b) be the first derivative of -b**3 + 9*b**2 - 27*b - 1. Factor t(h).
-3*(h - 3)**2
Let j = 2 - 0. Let o be -2 - ((-24)/(-5))/(-1). What is l in -4/5*l + 0 - o*l**3 - 18/5*l**j = 0?
-1, -2/7, 0
Suppose 3 = p - 0. Suppose 10 = b - 2*z, 0 = 3*z + 6 + 9. Factor b*w**p + 1/2*w + w**4 - 1/2*w**5 - w**2 + 0.
-w*(w - 1)**3*(w + 1)/2
Suppose 0 = -3*t + 7 - 1. Let z(m) = -m - 3. Let k be z(-5). Find v, given that -v + k - v - v**t - 3 = 0.
-1
Let f(g) = 17*g**3 + g**2 + 3*g. Let n(c) = 52*c**3 + 4*c**2 + 10*c. Let q(m) = -20*f(m) + 6*n(m). Suppose q(l) = 0. What is l?
0, 1/7
Let j(y) = -6 + 4 - y + 4. Let t be j(2). Factor -1/4*q**2 + t + 0*q + 1/4*q**3.
q**2*(q - 1)/4
Let v(m) = -11*m**2 + 4*m + 1. Let l(a) = -12*a**2 + 5*a + 1. Let h(c) = -6*l(c) + 7*v(c). Let g(y) = -6*y**2 - 2*y. Let r(i) = -3*g(i) + 4*h(i). Factor r(x).
-2*(x - 1)*(x + 2)
Let c(z) be the second derivative of 1/135*z**6 + 2*z + 1/27*z**3 + 0 - 1/90*z**5 + 2/9*z**2 - 1/18*z**4. Factor c(a).
2*(a - 2)*(a - 1)*(a + 1)**2/9
Let d(w) = -w**3 + w + 1. Let c(q) = q**3 + 15*q**2 - 28*q + 8. Let u(t) = -c(t) - 4*d(t). Factor u(h).
3*(h - 2)**2*(h - 1)
Suppose -2*f + 4 = -f. Let h be (-3)/(-6)*(-2)/(-3). Suppose -h*m - m**3 - m**2 - 1/3*m**f + 0 = 0. Calculate m.
-1, 0
Let v(n) be the third derivative of n**7/30 + n**6/4 + 3*n**5/5 + n**4/3 + 21*n**2. Factor v(d).
d*(d + 2)**2*(7*d + 2)
Let p(v) be the second derivative of v**5/30 - 5*v**4/18 - 8*v**3/9 + 16*v**2 + 2*v + 36. Suppose p(z) = 0. What is z?
-3, 4
Let u(b) = 5*b**4 - 5*b**3 + 10*b**2 + 2*b + 6. Let l(p) = 4*p**4 - 4*p**3 + 10*p**2 + 3*p + 5. Let i(q) = 6*l(q) - 5*u(q). Suppose i(w) = 0. What is w?
-2, -1, 0, 4
Let r = 5 - 12. Let b(n) = -150*n**2 + 120*n - 17. Let k(o) = -100*o**2 + 80*o - 11. Let h(m) = r*k(m) + 5*b(m). Factor h(s).
-2*(5*s - 2)**2
Let h(k) be the second derivative of -15*k**5/16 - 5*k**4/8 + 13*k**3/8 - 3*k**2/4 - 10*k. Let h(y) = 0. Calculate y.
-1, 1/5, 2/5
Suppose m + 3*h = -13, -3*h = -2 + 8. Let l = -5 - m. Suppose -1 + 2*k + k**4 - 2*k**4 - l*k**3 + k**5 + 2*k**2 - k = 0. Calculate k.
-1, 1
Let g(l) be the third derivative of -7*l**5/60 - 5*l**4/24 + l**3/3 - 8*l**2. Factor g(a).
-(a + 1)*(7*a - 2)
Let y = 193/8 - 24. Let p(d) be the second derivative of 0 + 1/48*d**4 + d + y*d**2 - 1/12*d**3. Factor p(q).
(q - 1)**2/4
Let t be 1/6*2*0/(-23). Factor -2/7*c**4 - 6/7*c - 10/7*c**3 + t - 2*c**2.
-2*c*(c + 1)**2*(c + 3)/7
Let f(g) be the first derivative of g**6/1080 + g**5/360 + 10*g**3/3 - 6. Let c(n) be the third derivative of f(n). Determine i, given that c(i) = 0.
-1, 0
Let u(l) be the first derivative of 4/5*l + 3 - 3/5*l**2 + 2/15*l**3. Solve u(v) = 0.
1, 2
Let c be ((-3)/4)/((-2)/8). Suppose -2*a - 4*a - 6*a - 12 - c*a**2 = 0. What is a?
-2
Let g(k) = 13*k + 444. Let i be g(-34). Find p such that 2/7*p**i - 8/7 + 6/7*p = 0.
-4, 1
Let y(o) be the first derivative of -2*o**5/5 - o**4 - 2*o**3/3 + 3. Factor y(a).
-2*a**2*(a + 1)**2
Let b(u) be the first derivative of -4*u**3/3 - 4*u**2 - 16. Factor b(f).
-4*f*(f + 2)
Let r = -308 + 928/3. Factor 14/3*l**2 + 0 + 2*l**4 + 16/3*l**3 + r*l.
2*l*(l + 1)**2*(3*l + 2)/3
Let d = 22 - 22. Factor -4*s**3 + d*s**2 + 6*s**3 - s**4 - s**2.
-s**2*(s - 1)**2
Let m be 32/(-12) - -2 - -1. Factor 0 + 0*o + m*o**2.
o**2/3
Let u be 2 + 0 + -2 - -1. Let a = 1 + u. Factor -6*t**4 + t**a + 0*t - t**3 + t + 5*t**4.
-t*(t - 1)*(t + 1)**2
Let p(q) be the first derivative of 3*q**5/20 + q**4/2 + q**3/2 - 7*q - 6. Let w(f) be the first derivative of p(f). Factor w(k).
3*k*(k + 1)**2
Let d(z) = z**2 - 7*z - 10. Let x be d(8). Let i be (-4 - x - -2)/(-4). Factor 0 + i*s**2 + 0*s - 1/3*s**4 - 1/3*s**3.
-s**3*(s + 1)/3
Let k(x) be the first derivative of 2/3*x + 1/2*x**2 + 4 + 1/9*x**3. Find r, given that k(r) = 0.
-2, -1
Let i(d) = 9*d + 108. Let q be i(-12). Solve q + 1/4*s**2 - 1/2*s = 0.
0, 2
Let i be 9/7 - ((-2 - -3) + 0). Let i*d + 0*d**2 - 2/7*d**3 + 0 = 0. Calculate d.
-1, 0, 1
Let k(o) be the second derivative of -o**5/210 + o**3/63 - 3*o. Factor k(s).
-2*s*(s - 1)*(s + 1)/21
Suppose 0 = 7*q - 5 - 2. Determine g so that -1/4*g**4 + g - q - 1/2*g**3 + 3/4*g**2 = 0.
-2, 1
Let y = -385 + 387. Find r, given that 0 - 2/5*r**y - 4/5*r = 0.
-2, 0
Let g(y) = 10*y**3 - 3*y**2 + 15*y - 11. Let f(a) = -5*a**3 + a**2 - 8*a + 6. Let z(d) = -11*f(d) - 6*g(d). Factor z(l).
-l*(l - 1)*(5*l - 2)
Let r(v) be the second derivative of -v**9/60480 + v**7/10080 + v**4/6 - 3*v. Let j(p) be the third derivative of r(p). Solve j(k) = 0 for k.
-1, 0, 1
Let r(n) be the first derivative of 3*n**5/20 + 3*n**4/8 - n**3/4 - 3*n**2/4 + 20. Factor r(s).
3*s*(s - 1)*(s + 1)*(s + 2)/4
What is g in 32*g**2 - 17*g**2 - 11*g**2 - 4 = 0?
-1, 1
Let o be (36/(-24))/(-43 + (0 - 2)). Let r(z) be the third derivative of 0*z**3 + 0*z**4 - o*z**6 + 0 - 1/30*z**5 + 0*z - 4*z**2 - 1/105*z**7. Solve r(j) = 0.
-1, 0
Let z(y) be the third derivative of y**5/150 + y**4/20 - 4*y**3/15 + 34*y**2 - y. Suppose z(r) = 0. Calculate r.
-4, 1
Let v(o) be the third derivative of 2*o**5/15 - o**4/6 + o**3/12 + 4*o**2. Find i such that v(i) = 0.
1/4
Find g, given that 2*g**3 - 13*g**5 - 6 - 7*g**3 + 9*g + 16*g**5 - 7*g**3 + 6*g**2 = 0.
-2, -1, 1
Let k(s) be the second derivative of 0 + 1/5*s**5 + 4/21*s**7 - 3*s - 2*s**3 + s**2 - 3/5*s**6 + 4/3*s**4. Solve k(l) = 0 for l.
-1, 1/4, 1
Let z = -47/6 - -8. Let r(f) be the first derivative of 1 + 2/9*f**3 - 1/3*f**2 - 2/15*f**5 + 0*f + z*f**4. Factor r(u).
-2*u*(u - 1)**2*(u + 1)/3
Let n(l) be the second derivative of -3*l**5/140 - 27*l**4/28 - 195*l**3/14 - 507*l**2/14 - 19*l. Determine f so that n(f) = 0.
-13, -1
Suppose -s = -0*s - 4*b - 31, 0 = -5*s - 3*b + 63. Factor -4*d**5 + 6*d**2 + 7*d**5 + s*d**3 + 0*d**2 + 12*d**4.
3*d**2*(d + 1)**2*(d + 2)
Let c(r) be the second derivative of -3*r**5/4 + 65*r**4/12 - 5*r**3/3 - 20*r**2 - 3*r. Factor c(i).
-5*(i - 4)*(i - 1)*(3*i + 2)
Factor 282 - 18*d - d**4 - 8*d**3 - 21*d**2 - 282.
-d*(d + 2)*(d + 3)**2
Let k(t) be the first derivative of t + 1/3*t**3 - t**2 - 2. Solve k(l) = 0.
1
Let w(q) = -5*q**2 - 2*q**2 - 5*q - 3 + 3*q**2 + 2. Let a = -13 + 28. Let g(i) = -i**2 - i. Let z(u) = a*g(u) - 3*w(u). Let z(x) = 0. What is x?
-1, 1
Let y(h) be the second derivative of h**5/180 + h**4/108 - 11*h. Suppose y(q) = 0. Calculate q.
-1, 0
Let y(x) be the second derivative of x**5/80 - x**4/48 - x**3/24 + x**2/8 - 4*x. Suppose y(v) = 0. Calculate v.
-1, 1
Let v be (-10)/((2 + 0)/(-1)). Suppose 7*y**v - y**4 - 4*y**2 - 2*y - 5*y**5 + 5*y**4 = 0. What is y?
-1, 0, 1
Determine m so that -3/7*m**2 + 0 + 9/7*m = 0.
0, 3
Let s be ((-3 + 3)/(-2))/2. Let m(a) be the first derivative of 0*a**4 + s*a + 0*a**2 - 1/15*a**5 - 2 + 0*a**3. What is x in m(x) = 0?
0
Find b, given that 24/17*b**3 + 20/17*b**2 + 2/17*b**5 + 12/17*b**4 + 6/17*b + 0 = 0.
-3, -1, 0
Suppose y = 4*y - 3*b - 6, -b - 2 = -4*y. Suppose -2/7*z**2 + 10/7*z**3 + 0*z + y - 8/7*z**4 = 0. Calculate z.
0, 1/4, 1
Let f(h) be the third derivative of 1/720*h**6 + 9*h**2 - 1/1260*h**7 + 0*h**3 + 0*h**4 + 0*