 8/(-16). Let g(c) be the first derivative of 0*c**4 + 2/3*c**3 + 1/2*c**2 + 0*c + 1 - 2/5*c**5 - l*c**6. Let g(w) = 0. What is w?
-1, 0, 1
Let t(f) = 8*f**2 - 17*f + 18. Let d(m) = -7*m**2 + 18*m - 17. Let g(x) = -3*d(x) - 2*t(x). Factor g(j).
5*(j - 3)*(j - 1)
Let -1/4*a - 1/8*a**2 + 1 = 0. What is a?
-4, 2
Let g(j) be the second derivative of -j**5/20 - 5*j**4/4 - 25*j**3/2 - 125*j**2/2 + j. Factor g(x).
-(x + 5)**3
Let a be 1*((-4)/(-10))/(4/40). Let s(c) be the second derivative of 0*c**2 + c + 0 - 1/30*c**3 - 1/60*c**a. Determine i so that s(i) = 0.
-1, 0
Let v(x) = -x**3 + 5*x**2 + 7*x - 1. Let u be v(6). Suppose -9 - 1 = -u*h. Factor 6 - 4*o**2 - 6*o**3 - h + 10*o - 4*o**3.
-2*(o - 1)*(o + 1)*(5*o + 2)
Let s = -59 + 62. Let u(m) be the third derivative of 0 - 1/24*m**4 - 1/3*m**s + 0*m + 3*m**2 + 1/60*m**5. Factor u(r).
(r - 2)*(r + 1)
Factor -4/3 + 1/3*b**2 + 0*b.
(b - 2)*(b + 2)/3
Let q(f) = f**3 + 2*f**2 - 3*f + 4. Suppose -8 = 2*v - 2. Let d be q(v). Factor w**4 - w**2 + 0*w**4 + 0*w**d.
w**2*(w - 1)*(w + 1)
Suppose 0 = -2*n + 4 + 8. Find w such that -6*w - w**2 + n*w - w**2 - 2*w = 0.
-1, 0
Factor 4/15*i - 2/15 - 2/15*i**2.
-2*(i - 1)**2/15
Let c(h) be the first derivative of h**4 + 8. Factor c(p).
4*p**3
Let o = -55 + -49. Let l = o - -158. Factor -46*n**4 + l*n**3 - 26*n**2 + 4*n + 15*n**5 - 2*n**5 + n**5.
2*n*(n - 1)**3*(7*n - 2)
Let p(m) be the second derivative of -m**6/480 + m**4/32 + m**3/12 - m**2 + m. Let k(j) be the first derivative of p(j). Determine f so that k(f) = 0.
-1, 2
Let y be (-3)/27*-2*(-1 + 4). Let q(z) be the first derivative of 2 - 1/6*z**4 + 2/9*z**3 + 1/3*z**2 - y*z. Factor q(k).
-2*(k - 1)**2*(k + 1)/3
Let t(h) = 4*h**3 - 1. Let f be t(1). Suppose -f*q + 12 = -0*q. Find s such that -s**3 - 2*s**q + 10*s + 4 - s**3 + s**2 + 0*s**2 + 5*s**2 = 0.
-1, 2
Factor 3/2*m**5 - 6*m**3 + 0*m + 24*m**2 - 24 - 9/2*m**4.
3*(m - 2)**3*(m + 1)*(m + 2)/2
Let a = 74 - 72. Factor 0 + 0*i**a + 2/5*i**3 + 0*i.
2*i**3/5
Suppose 0*n = -2*n + 6. Solve -x**2 - 7*x**2 - 7*x**3 + n*x**3 = 0.
-2, 0
Let f = -910 - -3617/4. Let w = f - -177/28. Factor 2/7*i**2 + 2/7 + w*i.
2*(i + 1)**2/7
Let i(w) = -w**2 - 8*w - 4. Let a be 2/10 - 72/10. Let s be i(a). Factor -4 - 39*r**2 - 4*r**3 - s*r**2 + 33*r + 14*r**4 + 7*r - 4.
2*(r - 1)**2*(r + 2)*(7*r - 2)
Let x(m) = -2*m**2 - 8*m + 4. Let k be x(-4). Let a(d) be the first derivative of 0*d + 2/21*d**3 + 1 - 2/35*d**5 - 1/14*d**k + 1/7*d**2. Factor a(v).
-2*v*(v - 1)*(v + 1)**2/7
Factor 1/9*x**4 + 0*x - 1/9*x**2 + 0*x**3 + 0.
x**2*(x - 1)*(x + 1)/9
Let p(j) = -8*j**2 + 9*j - 1. Let w(o) = -24*o**2 + 26*o - 2. Let b(m) = -8*p(m) + 3*w(m). Factor b(g).
-2*(g - 1)*(4*g + 1)
Let y(a) be the first derivative of -3*a**4/20 - 12. Let y(v) = 0. What is v?
0
Let -2/7*z**4 - 4/7*z**3 + 0 + 0*z**2 + 0*z = 0. Calculate z.
-2, 0
Suppose f = 5*f + 60. Let g be (-6)/20*20/f. Factor g*b**2 - 2/5*b**3 + 0*b + 0.
-2*b**2*(b - 1)/5
Let j = -324 - -326. Factor -2/3*v**j + 1/3 + 0*v**3 + 0*v + 1/3*v**4.
(v - 1)**2*(v + 1)**2/3
Let w(a) be the first derivative of -4*a**5/105 + 5*a**4/42 + 2*a**3/21 - 8*a**2/21 - 8*a/21 + 13. Determine f so that w(f) = 0.
-1, -1/2, 2
Let m(r) = 4*r + 0*r - 1 + r**2 - r. Let p be m(-4). What is a in -1/4*a**2 - 1/4*a**p + 1/4*a + 1/4 = 0?
-1, 1
Suppose 5*v = 2*a - 9 + 36, -2*v = 4*a - 6. Let n be 5 - (-1 - 2/a). Find p such that 0*p**n + 8*p**3 + 2*p**4 - 2 + 8*p + 12*p**2 + 4 = 0.
-1
Let r(t) be the third derivative of t**8/1512 + 2*t**7/945 - t**5/135 - t**4/108 - 10*t**2. Factor r(k).
2*k*(k - 1)*(k + 1)**3/9
Let i(p) be the third derivative of -33*p**6/260 - 5*p**5/13 - 17*p**4/39 - 8*p**3/39 + 4*p**2. Factor i(f).
-2*(3*f + 2)**2*(11*f + 2)/13
Let d(k) be the third derivative of -k**6/720 + k**5/180 - k**4/144 + 7*k**2. Factor d(b).
-b*(b - 1)**2/6
Suppose 6 = -4*x - 50. Let t be 6/x*49/(-14). Determine b, given that 0 + 3*b**3 + 3/2*b**4 + t*b**2 + 0*b = 0.
-1, 0
Suppose 4*l - 79 = 117. Suppose -54 = u - 2*u. Factor l*y + 27*y - 4*y + 16 + u*y**3 + 108*y**2.
2*(3*y + 2)**3
Determine c, given that -2*c**4 - 2/3*c**5 + 8/3*c**2 + 0 + 0*c**3 + 0*c = 0.
-2, 0, 1
Suppose -1/9*r**4 - 1/9*r**2 + 0 + 0*r + 2/9*r**3 = 0. Calculate r.
0, 1
Let s be ((-24)/14)/((-2)/7). Factor -3/2*i + s*i**2 - 7/2*i**3 - 1.
-(i - 1)**2*(7*i + 2)/2
Let h = -3 - -5. What is n in n**2 - 1 + 2*n - h*n + 0 = 0?
-1, 1
Let u(o) be the third derivative of -o**8/728 - 11*o**7/1365 - 7*o**6/390 - o**5/65 + o**4/156 + o**3/39 - 3*o**2. Factor u(t).
-2*(t + 1)**4*(3*t - 1)/13
Let h(b) be the third derivative of b**8/84 - 4*b**7/105 - b**6/30 + 2*b**5/15 + 9*b**2. Let h(t) = 0. Calculate t.
-1, 0, 1, 2
Suppose 71 + 34 = 3*a. Factor a*i + 34 - 33*i**2 - 7 + i + 4*i**3 + 2*i**3.
3*(i - 3)**2*(2*i + 1)
Factor -2/5*d**2 + 8/5 + 6/5*d.
-2*(d - 4)*(d + 1)/5
Let t(q) be the third derivative of q**5/15 - 9*q**2. Factor t(j).
4*j**2
Let z(l) = -l**2 - 8*l - 6. Let r be z(-7). Let c be (-1 - 2 - r)/(-3). Factor -2*n**3 + 0 - 4/3*n**4 - c*n**2 - 1/3*n**5 - 1/3*n.
-n*(n + 1)**4/3
Let r(g) be the first derivative of -g**4/30 + g**3/15 + 2*g**2/5 + 2*g + 4. Let k(m) be the first derivative of r(m). Factor k(j).
-2*(j - 2)*(j + 1)/5
Let q = 17 - 14. What is o in -3*o**5 - q*o**4 + 4*o**2 - o**3 - 2*o**3 - o**2 + 6*o**3 = 0?
-1, 0, 1
Suppose 0*m - 2 = -m. Factor -6*v**2 + 2*v**m - 2*v - 4 + 6*v**2.
2*(v - 2)*(v + 1)
Let w(i) be the third derivative of i**8/2016 - i**7/180 + 7*i**6/360 - i**5/180 - 5*i**4/48 + i**3/4 - 23*i**2. Let w(r) = 0. Calculate r.
-1, 1, 3
Let b be 15/20*(-4)/(-96). Let h(o) be the third derivative of 1/480*o**6 - 1/80*o**5 + 0*o - 1/24*o**3 + b*o**4 - o**2 + 0. Find c such that h(c) = 0.
1
Factor 21*x**5 + 3*x**3 + 23*x**5 + 6*x**3 + 6*x**2 - 47*x**5.
-3*x**2*(x - 2)*(x + 1)**2
Let x(h) = h**2 + 8*h + 2. Let f be x(-8). Solve -2*m**2 + 2*m + 6*m**2 - 3*m**f = 0.
-2, 0
Let r(a) be the second derivative of 1/8*a**4 + 0*a**2 + 0 + 1/4*a**3 - 2*a. Let r(p) = 0. What is p?
-1, 0
Determine b, given that -324 - 4*b**2 + 10*b - 44*b + 106*b = 0.
9
Let j be 349/28 + 18/63. Let q = -349/28 + j. Factor 4/7*y - q - 2/7*y**2.
-2*(y - 1)**2/7
Factor 6*f - 2*f**3 - f - 4 + f + 0.
-2*(f - 1)**2*(f + 2)
Let q = 5/2 - 2. Factor t + q + 1/2*t**2.
(t + 1)**2/2
Let p(h) be the second derivative of 1/2*h**2 - 3*h - 1/10*h**5 + 0*h**4 + 1/3*h**3 - 1/30*h**6 + 0. Determine c so that p(c) = 0.
-1, 1
Suppose -20/7*t**3 - 4/7*t**4 + 0 - 32/7*t**2 - 16/7*t = 0. What is t?
-2, -1, 0
Let d(g) be the third derivative of 0*g**3 + 1/60*g**5 + 0 + g**2 + 0*g - 1/12*g**4. Factor d(z).
z*(z - 2)
Let d(j) = -j + 4*j + 1 + 3*j**2 - 7*j**2. Let i(s) = 3*s + 1 - 4*s - 2 - 3*s**2 + 5*s**2. Let m(z) = 3*d(z) + 5*i(z). Solve m(y) = 0 for y.
1
Suppose 4 = i + 5*x - 4*x, -i - 2*x + 4 = 0. Suppose -c + 68 = 4*f, 2*f + 3*f - 92 = -3*c. Let 8*g**4 + 1/2 - i*g + 12*g**2 - f*g**3 = 0. Calculate g.
1/2
Suppose 0 = -0*t - 2*t + 8. Solve 4 - 5*d**4 + 3*d**4 - t*d**4 + 2*d**2 - 15*d**3 + 14*d + d**3 = 0.
-2, -1, -1/3, 1
What is a in -6/7*a**3 + 0 + 3/7*a**5 + 3/7*a + 0*a**2 + 0*a**4 = 0?
-1, 0, 1
Let w(k) = k - 1. Let x be w(3). Determine o, given that o - 2*o + o - 3*o + o**x + 2 = 0.
1, 2
Let i(x) be the third derivative of -2*x**2 + 1/1050*x**7 + 0*x + 0 - 4/15*x**3 + 1/30*x**4 + 1/50*x**5 - 1/120*x**6. Factor i(o).
(o - 2)**3*(o + 1)/5
Let h(j) be the first derivative of -j**6/3 + 2*j**4 - 4*j**3/3 - 3*j**2 + 4*j + 8. Factor h(q).
-2*(q - 1)**3*(q + 1)*(q + 2)
Let o(l) be the first derivative of 2*l**5/35 - l**4/7 - 2*l**3/21 + 2*l**2/7 - 1. Factor o(p).
2*p*(p - 2)*(p - 1)*(p + 1)/7
Factor 2/19*y**5 - 2/19*y**2 + 0*y - 2/19*y**3 + 0 + 2/19*y**4.
2*y**2*(y - 1)*(y + 1)**2/19
Let k = -22/45 + 3/5. Let d(m) be the first derivative of 1/3*m**2 - k*m**3 - 2 - 1/3*m. Find a such that d(a) = 0.
1
Solve -8/5*t**3 - 8/5 + 6/5*t**2 + 2/5*t**4 + 8/5*t = 0.
-1, 1, 2
Let d be 32/7 + (-11)/(231/12). Let g be (-8)/6*6/(-4). Find o such that -6*o**2 - 3*o + 3 + 2*o**5 - 4*o**5 - g*o**5 + 3*o**d + o**5 + 6*o**3 = 0.
-1, 1
Factor -1/3*k**3 + 2/3*k + 1/3*k**2 + 0.
-k*(k - 2)*(k + 1)/3
Let g(q) be the second derivative of -3*q**5/10 - 3*q**4/4 + 3*q**2/2 - 15*q. Factor g(s).
-3*(s + 1)**2*(2*s - 1)
Suppose 3*p - 5*b + 0*b = -10, 10 = 5*b. Let j = p - 0. What is v in 0*v**