16). Determine x so that 0*x**q - 3/2*x**5 + 3/2*x**3 + 0*x**2 + 0 + 0*x = 0.
-1, 0, 1
Let h(g) = -g**3 + 5*g**2 + 7. Let v be h(5). Suppose -2*x + 6 = 2*d, -v = -3*x - 0*d - d. What is z in -2*z**x - z**4 - 22*z**4 - 12*z**3 + 5*z**4 = 0?
-1/3, 0
Let x(k) be the first derivative of k**6/18 + 2*k**5/5 + 11*k**4/12 + 2*k**3/9 - 2*k**2 - 8*k/3 - 1. What is r in x(r) = 0?
-2, -1, 1
Let a be -2 + 4/1 - -1. Suppose -2*r**2 + a + 2 - 3 + 4*r - 4 = 0. Calculate r.
1
Let o = 7/5 + -53/45. Find z, given that o*z - 2/9*z**2 + 4/9 = 0.
-1, 2
Let h(s) = -7*s**4 + 4*s**3 + 9*s**2 - 7*s - 5. Let b(a) = -13*a**4 + 8*a**3 + 19*a**2 - 13*a - 11. Let d(c) = 3*b(c) - 5*h(c). Suppose d(k) = 0. Calculate k.
-1, 1, 2
Let l(o) be the second derivative of -o**6/15 - o**5/5 + 2*o**4/3 + 2*o**3/3 - 3*o**2 - 3*o. Suppose l(i) = 0. What is i?
-3, -1, 1
Let r = -4478/55 + 408/5. Factor 0 - 4/11*k + r*k**2.
2*k*(k - 2)/11
Let d be 1 - -41*(-1 + 2). Let z be 4/7*98/d. Find c such that -2/3*c**3 - z*c**2 + 0 - 2/3*c = 0.
-1, 0
Let r(p) be the third derivative of -p**9/211680 - p**5/20 + 3*p**2. Let i(h) be the third derivative of r(h). Factor i(x).
-2*x**3/7
Let q(j) = j**5 - j**4 - 7*j**3 + 5*j**2. Let z(b) = -3*b**3 + 3*b**2. Let k(i) = 3*q(i) - 5*z(i). What is a in k(a) = 0?
-1, 0, 2
Suppose -4*s + 10 = s. Factor 5 + 2 + 2*b**s - 3 - 6*b.
2*(b - 2)*(b - 1)
Let w = -2 - -4. Suppose -5 - 6*o - 2 - 2 + 3*o**w = 0. Calculate o.
-1, 3
Suppose -25 = -0*u - 5*u. Let j(f) be the first derivative of u - 2/9*f + 1/18*f**4 - 2/9*f**3 + 1/3*f**2. Factor j(h).
2*(h - 1)**3/9
Suppose 0 = -0*t + 3*t, -t = 4*g. Factor g + 0*p - 1/6*p**3 - 1/3*p**2 + 2/3*p**4 + 1/2*p**5.
p**2*(p + 1)**2*(3*p - 2)/6
Let w be 7/3*15/(-5). Let z = 7 + w. Suppose -4/7*f**2 + z*f**3 - 2/7*f**5 + 2/7*f + 0 + 4/7*f**4 = 0. What is f?
-1, 0, 1
Suppose 2*i + 129 = -4*a - 3*i, -3*a - 102 = 2*i. Let w be 5*(3 - a/(-15)). Determine k, given that 3/2*k**2 - w - 3/2*k = 0.
-1, 2
Suppose -p**2 - 3*p + 4*p + 3*p - p**2 = 0. What is p?
0, 2
Let b be 2/(-5) + (-85)/(-25). Suppose -b*q = 0, 0 = i + 4*q + q - 2. Factor 0*h**2 + h**3 + 4*h**3 - 6*h**2 - i - 3*h**3 + 6*h.
2*(h - 1)**3
Let h(v) = 2*v**2 + 20*v + 2. Let k be h(-10). Suppose -2/3*y**3 - 1/3*y**k - 1/3*y**4 + 0*y + 0 = 0. Calculate y.
-1, 0
Solve -8*f + 28/3 - 4/3*f**2 = 0.
-7, 1
Determine d so that 14/5*d**3 + 16/5*d + 8/5 - 38/5*d**2 = 0.
-2/7, 1, 2
Solve 12*i**3 - 31*i**3 + 11*i**3 - 2*i**4 - 6*i**2 = 0 for i.
-3, -1, 0
Let a(h) be the second derivative of -4*h**2 - 1/6*h**4 + 0 - 4/3*h**3 - 2*h. Factor a(w).
-2*(w + 2)**2
Let n(s) = s**5 - s**4 + s**3 - s. Let u(r) = -8*r**5 - 8*r**4 - 8*r**3 + 12*r**2 + 12*r. Let t(g) = -4*n(g) - u(g). Let t(d) = 0. Calculate d.
-2, -1, 0, 1
Let m(l) be the first derivative of -l**3/3 + l - 7. Let m(s) = 0. Calculate s.
-1, 1
Let b(l) be the first derivative of -1/2*l**3 + 7 + 0*l**2 + 3/4*l + 0*l**4 + 3/20*l**5. Solve b(c) = 0.
-1, 1
Let w(z) = -z**3 + 9*z**2 - 4*z - 32. Let s be w(8). Let a(d) be the first derivative of 0*d**3 - 3 - 1/16*d**4 + 0*d + s*d**2. Determine i so that a(i) = 0.
0
Suppose -3*h + 4*y = -2 - 9, 0 = -5*h - 4*y - 3. Let p(v) be the first derivative of 1/6*v**3 + v**2 - h + 2*v. Let p(w) = 0. Calculate w.
-2
Let a(p) = 23*p**3 - 153*p**2 + 208*p - 48. Let x(i) = i**3 + i**2. Let k(g) = -a(g) - 5*x(g). Suppose k(m) = 0. Calculate m.
2/7, 2, 3
Factor -7*r**3 + 9*r**2 + 3*r - 4*r - r.
-r*(r - 1)*(7*r - 2)
Let h be (29/5 - 5)/(4/10). Suppose -d + 1/3*d**h + 2/3 = 0. What is d?
1, 2
Suppose 15 = -2*h + g + 4*g, -4*g = 3*h - 35. Let a(n) be the third derivative of 0*n + n**2 + 0*n**4 + 0 + 0*n**3 - 1/20*n**h. Suppose a(y) = 0. What is y?
0
Factor -l**3 - 2/3*l**2 + 0 - 1/6*l**5 - 1/6*l - 2/3*l**4.
-l*(l + 1)**4/6
Let b(f) = -8*f - 5. Let q(l) = 9*l + 6. Let n(h) = 6*b(h) + 5*q(h). Let k be n(-1). Factor k*m**2 - 6*m**3 + 0*m + 2 - 2*m - 13*m**2.
-2*(m + 1)**2*(3*m - 1)
Let o(l) = -l**3 - 5*l**2 - 6*l - 2. Let s be o(-4). Suppose 5*z - z**2 - z - s*z + z = 0. Calculate z.
-1, 0
Let u be ((-2)/8)/(455/(-84) - -5). Let 3/5*h - u*h**2 + 0 = 0. Calculate h.
0, 1
Factor 74 - 134 + 84 - 63*h**3 + 150*h + 213*h**2.
-3*(h - 4)*(3*h + 1)*(7*h + 2)
Determine n so that -1/4*n**2 - 1/2*n + 0 = 0.
-2, 0
Let j(n) = 4*n**3 - n**2 + n. Let v be j(1). Determine q, given that -3*q**v - 4*q**4 + 8*q**4 + 2*q**3 + q**2 = 0.
-1, 0
Let k(f) = -f**2 + 3*f - 3*f + 0*f - 5*f + 3. Let w(y) = 4*y**2 + 24*y - 14. Let n(i) = -14*k(i) - 3*w(i). Let n(x) = 0. Calculate x.
0, 1
Factor -12/5*f - 54/5 - 2/15*f**2.
-2*(f + 9)**2/15
Let o be (-4)/14 + 144/63. Let a(x) be the first derivative of 1/3*x - 2/3*x**2 + 1/3*x**3 + o. What is f in a(f) = 0?
1/3, 1
Let p = -191/4 + 48. Solve 0 + 0*l - p*l**2 + 1/4*l**3 = 0 for l.
0, 1
Let c = 13 - 9. Factor -c + 2 + 5 - 12*s**2 + 9*s.
-3*(s - 1)*(4*s + 1)
Factor 0*m**3 + 13*m**2 + 4*m**3 - m**3 - 10*m**2.
3*m**2*(m + 1)
Determine y so that -8*y**3 + 9 - 12 + 3 + 4*y**4 = 0.
0, 2
Suppose -2*o + 2 = -0*o. Suppose 3*l - 2 = -4*b - 3, o = 2*b + l. Determine j so that -6 + 0 + j**2 + 8*j - 3*j**2 - b = 0.
2
Suppose -5*l = 3*y - 1, -6*l - 3*y = -9*l + 15. Factor -2/3*f**3 - 2 + l*f**2 + 2/3*f.
-2*(f - 3)*(f - 1)*(f + 1)/3
Let s(h) be the third derivative of -h**5/300 + h**4/60 + h**3/10 + 10*h**2. Factor s(i).
-(i - 3)*(i + 1)/5
Suppose -2*a = 2*v - 2, -v - 18 + 19 = -5*a. Let a*r + 2/5 - 2/5*r**2 = 0. What is r?
-1, 1
Let g(a) be the second derivative of 1/10*a**5 - a**2 - 2*a + 0 + 1/6*a**4 - 1/3*a**3. Factor g(f).
2*(f - 1)*(f + 1)**2
Let p(y) = -2*y**4 - 3*y**3 + y**2 + 3*y - 2. Let x(r) = 2*r**4 + 2*r**3 - 2*r**2 - 2*r + 2. Let m(o) = 4*p(o) + 6*x(o). Factor m(i).
4*(i - 1)**2*(i + 1)**2
Let k(z) be the second derivative of 1/10*z**5 + 0 - z + 2*z**2 - 1/3*z**4 - 1/3*z**3. Factor k(q).
2*(q - 2)*(q - 1)*(q + 1)
Suppose 287*p**3 - 17*p**2 - 290*p**3 - 10*p**2 = 0. Calculate p.
-9, 0
Factor 0*p + 2/5*p**2 - 2/15*p**3 - 8/15.
-2*(p - 2)**2*(p + 1)/15
Let z(f) be the first derivative of 2*f**5/5 - f**4/2 - 2*f**3 + f**2 + 4*f - 14. Factor z(j).
2*(j - 2)*(j - 1)*(j + 1)**2
Suppose p + 2 = b, 7 + 6 = p + 2*b. Find v such that 1 + 4*v**3 - 2*v**p - 3*v**3 - 3*v + 5*v**3 = 0.
-1, 1/2
Let v(d) = 4*d**3 + 16*d**2 - d - 1. Let t be v(-4). Factor 9/4*r**2 + 0*r + 0 - 3/4*r**t.
-3*r**2*(r - 3)/4
Let z(d) be the second derivative of d**4/6 + 4*d**3/3 + 4*d**2 + 11*d. Factor z(i).
2*(i + 2)**2
Let g(a) = a - 4. Let q be g(6). Let f be -2 + (-7)/((-63)/24). Suppose 0 + 2/3*y**q - f*y**5 + 0*y + 2/3*y**3 - 2/3*y**4 = 0. Calculate y.
-1, 0, 1
Solve -3*y**2 - 12*y**4 + 4*y**5 + 0*y**2 + 12*y**3 - y**2 = 0 for y.
0, 1
Let n(s) be the third derivative of s**7/700 - s**6/600 - s**5/600 + 20*s**2. Factor n(m).
m**2*(m - 1)*(3*m + 1)/10
Let u(o) = -o**2 + 1. Let f(c) = -c**2 + 1. Let g(s) = 3*f(s) - 2*u(s). Let b be g(1). Factor b*t**3 + 2/5*t**5 + 4/5*t**2 + 0 - 2/5*t - 4/5*t**4.
2*t*(t - 1)**3*(t + 1)/5
Let v be 9/(-6)*(-8)/6. Let u be -1 + -1*(v - 3). Factor 0 + u*q - 1 + 2*q - q**2.
-(q - 1)**2
Let t = 1333/3143 - -2/449. Factor -6/7*l**2 + 3/7 + t*l.
-3*(l - 1)*(2*l + 1)/7
Suppose -36 = -2*s + 10. Let u = -23 + s. Factor -3/2*r**5 + 0 + 0*r + u*r**2 + 3/2*r**4 + 3*r**3.
-3*r**3*(r - 2)*(r + 1)/2
Let a be (-1)/(3/(1*-6)). Find y such that -6*y**2 - 6*y - 3*y**3 + y + a*y = 0.
-1, 0
Let a be (-1 + -2)*(0 - 3). Let m = 16 - a. Determine v, given that -v**2 - 1 - 2 - 5 + m - 2*v = 0.
-1
Suppose -5*d - 4*p + 220 = 0, -2*p - p = 2*d - 81. Let z be 2/7 + d/28. Find f, given that 0 + 0*f + 1/4*f**3 + 1/4*f**4 + 0*f**z = 0.
-1, 0
Let b(p) = p**3 + 5*p**2 - 6*p. Let f be b(-6). Let l(k) be the first derivative of 3/2*k**2 - 3/4*k**4 + f*k + 3/5*k**5 - k**3 + 2. Factor l(r).
3*r*(r - 1)**2*(r + 1)
Let l = -1071 + 1071. Factor 0 - 2/3*a + 2/3*a**5 - 4/3*a**4 + l*a**3 + 4/3*a**2.
2*a*(a - 1)**3*(a + 1)/3
Let k be (-29 - -30)/((-5)/(-2)). Let 0*i**2 + k*i**3 + 0 + 4/5*i**4 + 2/5*i**5 + 0*i = 0. What is i?
-1, 0
Suppose -5*k + k = -4*j - 28, k = -j + 1. Suppose 4*c**2 + 4*c**2 - 6 - k*c + 7*c - 5*c**2 = 0. What is c?
-2, 1
Let m = -3133/11 - -285. Solve m*f**4 + 0*f + 2/11*f**2 + 0 + 4/11*f**3 = 0.
-1, 0
What is t in 1/2*t**2 + 5/6*t - 1/6*t**3 + 1/3 - 1/6*t**4 = 0?
-1, 2
Let b(c) be the third derivative of -10*c**7/21 + 8*c**6/3 - 