 4*y - 6. Let n(c) = -3*r(c) - 2*v(c). Let x be n(-5). Factor -44*q**2 - 8 + x*q**3 + 32*q - 9/2*q**4.
-(q - 2)**2*(3*q - 2)**2/2
Let g(f) = -f. Let k be g(-5). Suppose -2*c + 4*c + k*w = -11, -5*w = 15. Factor 0 - 2/5*n**4 - 2/5*n**3 + 0*n + 2/5*n**c + 2/5*n**5.
2*n**2*(n - 1)**2*(n + 1)/5
Let o = 5 - 0. Let b be o/(-5)*(0 - 0). Factor 6*k**4 - 6*k**3 + k**5 + b*k**4 - 3*k**5 + 2*k**2.
-2*k**2*(k - 1)**3
Find f such that 4/5*f**2 + 0*f - 12/5*f**3 - 4/5*f**5 + 12/5*f**4 + 0 = 0.
0, 1
Let b = -152 + 159. Let l(i) be the third derivative of i**2 + 0 + 1/45*i**b - 1/18*i**4 + 0*i**3 + 0*i + 1/60*i**6 - 1/30*i**5 + 1/168*i**8. Factor l(a).
2*a*(a + 1)**3*(3*a - 2)/3
Let g(h) = -2*h + 10 + h**2 - 4 + 0*h**2 - 3*h. Let w be g(4). Solve w*f + 5*f**4 + 12*f**3 + 5*f**4 + f**5 + 8*f**2 - 2*f**4 + f**5 = 0.
-1, 0
Let d(z) be the third derivative of z**5/30 - z**4/6 + z**3/3 + 4*z**2. Factor d(t).
2*(t - 1)**2
Let g(q) be the second derivative of -2*q**5/5 + 11*q**4/6 - 5*q**3/3 - 2*q**2 + 7*q. Find y such that g(y) = 0.
-1/4, 1, 2
Let g = 4 - 2. Factor -2*a**g + 0*a**2 + 4*a + 2*a**4 - 4*a.
2*a**2*(a - 1)*(a + 1)
Let b(n) be the third derivative of -n**5/15 + n**4/4 - n**3/3 - 3*n**2. Determine p, given that b(p) = 0.
1/2, 1
Suppose 6*r = 19 - 7. Factor 1/3*j**r + 1/3 - 2/3*j.
(j - 1)**2/3
Solve b**3 - 2*b**2 + b**3 + b**3 - 5*b**3 = 0 for b.
-1, 0
Let c(j) = -j**2 - 10*j + 13. Suppose -2*t + 11 = -3*t. Let k be c(t). Solve 0 - 2/5*d**3 + 0*d**k + 0*d = 0.
0
Let d = 22 + -22. Factor 0*b + d + 8/3*b**2 + 10/3*b**4 + 8*b**3.
2*b**2*(b + 2)*(5*b + 2)/3
Let k be (-7 - -11)*(-1)/(-2). Let p be 1 - (8/k + -3). Factor -1 - 13*v + p - 64*v**4 + 0*v - 60*v**2 - 112*v**3.
-(v + 1)*(4*v + 1)**3
Let l(z) be the third derivative of -z**8/112 + z**7/35 + z**6/40 - z**5/10 + 7*z**2. Let l(g) = 0. What is g?
-1, 0, 1, 2
Let k(n) = -n**2 - n + 2. Let w(m) = -m + 1. Let b(j) = -k(j) + 2*w(j). Factor b(l).
l*(l - 1)
Suppose 0 = 4*l + l. Let f(a) be the second derivative of -1/30*a**6 + 0 - 1/2*a**2 + l*a**3 - a + 1/6*a**4 + 0*a**5. Factor f(b).
-(b - 1)**2*(b + 1)**2
Let f be (-1)/(3 - 75/24). Determine g so that -135*g**5 - 64*g - f - 27*g**5 - 16*g**2 - 29*g**2 + 90*g**4 + 226*g**3 - 37*g**2 = 0.
-1, -2/9, 1
Let j(o) be the third derivative of -o**7/105 - 2*o**6/15 - 8*o**5/15 - 7*o**2. Determine a, given that j(a) = 0.
-4, 0
Let b be (-2)/(-14) - 55/(-7). Solve -b*y - 18*y**2 - 11*y**3 - 3 - 4*y - y**3 - 3*y**4 = 0 for y.
-1
Suppose 0 = -5*j - 6 + 16. Suppose -5*n + 5*f + 5 = 0, n = 5*n + 5*f - 13. Factor g**3 - 2*g**2 - j*g**4 - n*g + g**3 + 4*g**2.
-2*g*(g - 1)**2*(g + 1)
Factor 0 + 0*d**2 + 4/7*d - 1/7*d**3.
-d*(d - 2)*(d + 2)/7
Let w(t) = -4*t**4 + 17*t**3 + 3*t**2 - 6*t. Let b(r) = -5*r**4 + 16*r**3 + 3*r**2 - 6*r. Let x(l) = -5*b(l) + 4*w(l). Solve x(c) = 0.
-2/3, 0, 1
Let d be (1833/52)/(5/(-4)). Let b = -28 - d. Factor -1/5*c - b*c**2 + 0.
-c*(c + 1)/5
Factor 0*z**4 + 0 + 0*z**2 - 1/4*z**3 + 1/4*z**5 + 0*z.
z**3*(z - 1)*(z + 1)/4
Let c be ((0/(-1))/(-2))/(1 - 0). Suppose -7*h = -2*h. Factor 1/2*b**4 + h*b**2 + c*b**3 + 0*b - 1/2*b**5 + 0.
-b**4*(b - 1)/2
Let u = -1913/4 + 479. Solve -3/4*z**2 - 3/4*z**3 + u*z + 3/4 = 0.
-1, 1
Let w(v) be the second derivative of v**6/540 + v**5/270 - v**4/108 - v**3/27 + 2*v**2 + v. Let x(j) be the first derivative of w(j). Factor x(u).
2*(u - 1)*(u + 1)**2/9
Suppose 2*n - 2*g - 12 = -4*g, -2*n - 5*g = -21. Suppose -2*l - 2 = -4. Find t, given that -4*t**3 + 3*t**n - l + t + 0*t + t**2 = 0.
-1, 1
Let z(r) be the first derivative of -r**4/16 + 8. Factor z(i).
-i**3/4
Let p = -110 + 551/5. Factor 0 + 0*u**2 - p*u + 1/5*u**3.
u*(u - 1)*(u + 1)/5
Let y(m) be the second derivative of -2*m**6/75 - 7*m**5/100 + m**4/10 + 7*m**3/30 - m**2/5 - 6*m. Let y(p) = 0. What is p?
-2, -1, 1/4, 1
Let a(y) be the second derivative of -1/3*y**3 + 0 - y - 1/80*y**5 - 5/48*y**4 - 1/2*y**2. Factor a(q).
-(q + 1)*(q + 2)**2/4
Let v(a) = -14*a**2 - 26*a - 20. Let p(d) = 9*d**2 + 17*d + 13. Let b(s) = -8*p(s) - 5*v(s). Factor b(j).
-2*(j + 1)*(j + 2)
Factor -3/5*h**2 + 0 + 6*h.
-3*h*(h - 10)/5
Let f = -2 - -5. Solve -2*r - 4*r**3 + 3*r**3 + f*r**3 = 0.
-1, 0, 1
Let s(j) = -j**3 + 8*j**2 - 6*j + 2. Let f be s(7). Let c(p) = -p + 11. Let x be c(f). Factor q**x + 1/3*q**3 + 0 + 2/3*q.
q*(q + 1)*(q + 2)/3
Let -2/3*i - 2/9*i**2 + 20/9 = 0. Calculate i.
-5, 2
Let m(s) be the first derivative of -s**7/420 - s**6/60 - s**5/20 - s**4/12 - s**3/12 - 3*s**2 - 1. Let u(w) be the second derivative of m(w). Factor u(g).
-(g + 1)**4/2
Find p such that -1 - 18*p**2 + 2 - 7*p + 31*p - 10 + 3*p**4 = 0.
-3, 1
Factor 1/6*t**5 + 0*t + 5/6*t**4 + 4/3*t**3 + 0 + 2/3*t**2.
t**2*(t + 1)*(t + 2)**2/6
Let p(z) = z**3 - 1. Let w(l) = 4*l**3 + 8*l**2 - 10*l - 2. Let y(x) = -2*p(x) + w(x). Factor y(v).
2*v*(v - 1)*(v + 5)
Suppose 2*y = 2*d, -2*d + 3 = y - 9. Factor 6*w**4 - y*w**4 - 6*w**3 + 0*w**4 + 8*w.
2*w*(w - 2)**2*(w + 1)
Factor -28*o + 4*o + 4 - 4*o**2 - o**3 + 25*o.
-(o - 1)*(o + 1)*(o + 4)
Suppose -5*t = -2*t - 4*a - 27, 5*t - 3*a - 34 = 0. Suppose -5*u = -3*c + t*c, 0 = -c - 5*u. Factor -2*l**2 + c + 0 - 2 - 4*l.
-2*(l + 1)**2
Let x = 1 + -1. Suppose 0 = -5*m + 3 + 7. Suppose 3*o + x*o - o**m - 5*o = 0. Calculate o.
-2, 0
Let d(s) = s - 2. Let x be 30/(-9)*(-12)/10. Let m be d(x). Factor a**3 + 2*a + a - a**m + 1 + 4*a**2.
(a + 1)**3
Let f be 2/(-5) - (-124)/10. Factor 2 - 25/2*y**3 - f*y + 45/2*y**2.
-(y - 1)*(5*y - 2)**2/2
Let c(n) = -n**2 + n - 2. Let l be c(-5). Let a be l/(-10) - 4/2. Solve 0 + a*b**2 + 4/5*b = 0.
-2/3, 0
Factor -2/15*u**3 + 0 + 8/15*u + 0*u**2.
-2*u*(u - 2)*(u + 2)/15
Let a(m) = -3*m**2 + 12*m + 15. Let i(s) = 2*s**2 - 6*s - 8. Let b = 13 - 6. Let j(o) = b*i(o) + 4*a(o). Suppose j(q) = 0. What is q?
-2, -1
Let r(n) be the second derivative of n**7/525 - 2*n**2 - n. Let z(w) be the first derivative of r(w). Determine v, given that z(v) = 0.
0
Let d(v) be the first derivative of -v**5/42 + v**4/28 + 2*v**3/21 + v**2 + 1. Let i(t) be the second derivative of d(t). Let i(z) = 0. What is z?
-2/5, 1
Let v(j) be the first derivative of 0*j**2 + 1/4*j**4 + 0*j + 0*j**3 - 2/5*j**5 - 1/2*j**6 + 2. Factor v(o).
-o**3*(o + 1)*(3*o - 1)
Let b(c) be the third derivative of 1/300*c**5 + 0*c + 0 + 0*c**3 - 2*c**2 + 1/1050*c**7 + 1/300*c**6 + 0*c**4. Let b(m) = 0. What is m?
-1, 0
Factor 0*c**2 - 2/11*c**3 + 6/11*c - 4/11.
-2*(c - 1)**2*(c + 2)/11
Suppose 4 = 2*p, 0 = 5*n + 5*p - 7*p - 6. Determine x, given that -4/3 + 20/3*x - 25/3*x**n = 0.
2/5
Let o = -39 + 42. Let h(a) be the first derivative of -4/11*a - o - 2/11*a**3 + 2/11*a**4 - 9/11*a**2. Factor h(r).
2*(r - 2)*(r + 1)*(4*r + 1)/11
Let h(i) be the first derivative of 3*i**5/100 + i**4/5 + i**3/2 + 3*i**2/5 - i + 5. Let u(b) be the first derivative of h(b). Factor u(r).
3*(r + 1)**2*(r + 2)/5
Suppose 4*o + 4 = -5*k - 0*k, 0 = 4*k - o - 1. Solve 2/11*m**3 + 2/11*m**2 + 0*m + k = 0 for m.
-1, 0
Let y be (4*2)/(10 + -8). Let u(l) be the third derivative of 0*l**3 + y*l**2 - 1/72*l**4 + 0*l + 0 - 1/180*l**5. Factor u(q).
-q*(q + 1)/3
Let i(t) be the first derivative of t**7/735 - t**6/210 - t**5/70 + t**4/21 + 4*t**3/21 - 2*t**2 - 1. Let k(b) be the second derivative of i(b). Factor k(y).
2*(y - 2)**2*(y + 1)**2/7
Find z such that 8/9 + 0*z - 2/9*z**2 = 0.
-2, 2
Let q(c) be the third derivative of c**6/360 - c**5/90 - c**4/24 + 38*c**2. Factor q(a).
a*(a - 3)*(a + 1)/3
Let l(d) = d**2 + d + 1. Let c be l(-1). Let t(f) = 5*f**2 - 5 + 1 - 4 - 3*f. Let b(i) = -i**2 + 1. Let s(z) = c*t(z) + 6*b(z). What is k in s(k) = 0?
-2, -1
Let s(a) = -2*a**4 + 12*a**3 + 4*a**2 - 2. Let h(v) = -v**3 - v**2 - v + 1. Let k be -1*6 + (-1 - -1). Let u(g) = k*h(g) - s(g). Find q such that u(q) = 0.
-1, 1, 2
Suppose 100 = -5*y + 5*k, 4*y + 0 = k - 92. Let u be ((-1)/(-3))/((-4)/y). Factor 12*q**u - 7 + 16*q**3 + 7*q**4 - q**4 + 5.
2*(q + 1)**3*(3*q - 1)
Let j(c) be the first derivative of -c**5/25 - c**4/10 + c**3/5 + 2*c**2/5 - 4*c/5 - 1. Find w, given that j(w) = 0.
-2, 1
Let y = -4/5 + 13/10. Let o(z) be the first derivative of -2 + 0*z + 4/3*z**3 - y*z**4 - z**2. Factor o(w).
-2*w*(w - 1)**2
Let b(q) be the third derivative of q**5/540 - q**4/216 - q**3/27 + 4*q**2. Solve b(z) = 0 for z.
-1, 2
Solve -7*k**3 - 2*k**4 - 5*k**2 