 -3. Suppose -w - n*w + 12 = 0. Determine x, given that 2 - x**5 + 4*x**2 - 6*x**3 - x - 2 + 4*x**w + 0 = 0.
0, 1
Let -4*s + 2/5*s**3 + 0 + 18/5*s**2 = 0. Calculate s.
-10, 0, 1
Let f(y) be the third derivative of y**10/18900 - y**9/6048 + y**8/10080 + y**5/10 + y**2. Let d(q) be the third derivative of f(q). Factor d(b).
2*b**2*(b - 1)*(4*b - 1)
Suppose 4*k + 5*q - 1 + 0 = 0, -38 = 3*k - 4*q. Let d be 64/12 - (-2)/k. Factor b**d + 2*b - b**4 + 5*b**4 - 3*b**5 - 4*b**2.
-2*b*(b - 1)**3*(b + 1)
Let t(a) = -a - 1. Let c(w) = 4*w**3 + 4*w**2 - w - 1. Let q(k) = -c(k) - 3*t(k). Factor q(o).
-4*(o - 1)*(o + 1)**2
Let y(l) = -l**3 + 14*l**2 - 48*l. Let t be y(8). Determine o so that 3*o**2 + 0*o + t - 9/2*o**3 + 3/2*o**4 = 0.
0, 1, 2
Factor -5488/9 - 2/9*h**3 - 28/3*h**2 - 392/3*h.
-2*(h + 14)**3/9
Let z(s) be the second derivative of 1/3*s**3 - 1/60*s**6 - 2*s + 0 + 1/10*s**5 - 1/4*s**2 - 1/4*s**4. Suppose z(a) = 0. What is a?
1
Suppose 0 - 3/5*d**2 - 1/5*d**3 + 3/5*d**4 + 1/5*d**5 + 0*d = 0. What is d?
-3, -1, 0, 1
Find a such that a**3 + 2*a**3 + a**3 + 4*a**2 = 0.
-1, 0
Let s(h) be the first derivative of -1/2*h**4 - 9/5*h**2 + 8/5*h**3 - 1 + 4/5*h. Factor s(j).
-2*(j - 1)**2*(5*j - 2)/5
Let b(c) be the first derivative of -2/5*c**2 + 4/5*c + 1/15*c**3 + 2. Find a such that b(a) = 0.
2
Let p = -63 + 329/5. Find b such that -p*b**3 - 4/5*b**2 + 14/5*b + 4/5 = 0.
-1, -2/7, 1
Factor -3/7*h - 12/7*h**2 + 0.
-3*h*(4*h + 1)/7
Let r be 0/(-2) - (-205)/(-105). Let i = -5/3 - r. Find x, given that 2/7 + 4/7*x**3 + 0*x**2 - 4/7*x - i*x**4 = 0.
-1, 1
Let c(n) = 4*n**2 + 2*n + 1. Let k be c(-1). Suppose 0*s - k + s**2 + 5 + 2*s - 1 = 0. Calculate s.
-1
Let q(r) be the first derivative of -2*r**5/85 + 4*r**3/17 - 8*r**2/17 + 6*r/17 + 5. Factor q(x).
-2*(x - 1)**3*(x + 3)/17
Let i(y) be the third derivative of y**7/1155 - y**5/165 + y**3/33 - 26*y**2. Factor i(b).
2*(b - 1)**2*(b + 1)**2/11
Let i(o) be the third derivative of 0*o - 1/24*o**4 - 3*o**2 + 1/240*o**5 + 1/120*o**6 - 1/24*o**3 + 0. Factor i(v).
(v - 1)*(v + 1)*(4*v + 1)/4
Let k(h) be the first derivative of -h**4/60 + h**3/30 + 4*h - 4. Let r(c) be the first derivative of k(c). Factor r(n).
-n*(n - 1)/5
Let l(j) = j**2 + 8*j. Let d(u) = -u**2 + u. Let v(i) = -4*d(i) - l(i). Factor v(m).
3*m*(m - 4)
Let k(l) be the first derivative of -1/5*l**3 + 3 + 0*l**2 + 3/5*l. Suppose k(f) = 0. What is f?
-1, 1
Let k(q) = q + 2. Let i be 1*5/(8 - 3). Let x be k(i). Factor 1/5*v**x - 1/5*v**5 + 0*v**2 + 0*v + 0*v**4 + 0.
-v**3*(v - 1)*(v + 1)/5
Let i = 124 - 377. Let r = i - -769/3. Factor r*w + 14/3*w**2 - 4/3.
2*(w + 1)*(7*w - 2)/3
Let q(z) be the second derivative of z**4/3 - 5*z**3/6 + z**2/2 + z. Let p(b) = -7*b**2 + 6*b + 4*b - b - 2. Let x(g) = 3*p(g) + 5*q(g). Factor x(f).
-(f - 1)**2
Solve 9 - 2*w - w - 7*w**2 + 6*w - 2*w**2 - 3*w**3 = 0 for w.
-3, -1, 1
Let q(j) be the first derivative of 2/27*j**3 - 4 - 8/9*j + 0*j**2. Suppose q(p) = 0. What is p?
-2, 2
Let d(m) = 2*m**2 + 10*m - 1. Let h be d(-7). Find j such that -15*j - 5 - 3*j + 8 + h*j**2 = 0.
1/3
Let k(z) = 13*z**3 + 15*z**2 - 9*z + 11. Let s(a) = 8*a**2 + 7*a**3 - 2*a + 2 + 4 - 3*a. Let f(i) = 6*k(i) - 11*s(i). Let f(r) = 0. Calculate r.
-1, 0
Let s(b) = -4*b**5 - 7*b**4 + 9*b**3 + 17*b**2 + 11*b. Let i(l) = l**4 + l**3 + l**2 - l. Let a(f) = 3*i(f) + s(f). Find z such that a(z) = 0.
-1, 0, 2
Let l(w) = -w + 8. Suppose 0 = -2*p + 3 + 9. Let q be l(p). Factor -4*m**3 + 2 - 2*m**4 + 2*m**2 + 4*m - q*m**2.
-2*(m - 1)*(m + 1)**3
Let u = 167/110 - 1/55. Factor -1/2*h**4 - 2*h + 2*h**3 - u*h**2 + 2.
-(h - 2)**2*(h - 1)*(h + 1)/2
Let l(y) be the second derivative of 2*y**6/15 - 8*y. Let l(p) = 0. Calculate p.
0
Determine g so that 2/3 - 2/3*g**2 - 1/3*g**3 + 1/3*g = 0.
-2, -1, 1
Let b = 17/114 - 69/760. Let c(k) be the third derivative of b*k**5 + 1/210*k**7 + 1/24*k**4 + 0*k**3 + 0 + 2*k**2 + 0*k + 7/240*k**6. Factor c(u).
u*(u + 1)*(u + 2)*(2*u + 1)/2
Let s(g) = g**2 - 2*g. Let c be s(3). Suppose 0 = t + c*t. Factor t + 1/3*l**3 + 0*l + 1/3*l**2.
l**2*(l + 1)/3
Suppose 0 = -v + 4 - 2. Find r such that 4*r**3 + 113*r - 4*r**4 - 113*r + 4*r**v - 4*r**5 = 0.
-1, 0, 1
Find z such that -17/3*z**4 - 1/3 + 4/3*z**5 - 22/3*z**2 + 28/3*z**3 + 8/3*z = 0.
1/4, 1
Factor 4*g - 10*g**2 + 7*g**3 + 28*g**2 + 13*g**3.
2*g*(2*g + 1)*(5*g + 2)
Factor 0 + 2/3*k**2 + 4/3*k.
2*k*(k + 2)/3
What is t in 1/3 + 2/3*t + 1/3*t**2 = 0?
-1
Let j = 14/17 - 25/51. Find p such that 2/3*p**2 + 0*p - j*p**4 - 1/3 + 0*p**3 = 0.
-1, 1
Let p(g) be the third derivative of 0 - 1/150*g**5 + 1/600*g**6 + 0*g + g**2 + 1/120*g**4 + 0*g**3. Determine f, given that p(f) = 0.
0, 1
Let w(q) be the first derivative of 3*q**5/20 + 3*q**4/8 - 7*q**3/4 + 3*q**2/2 + 6. Factor w(a).
3*a*(a - 1)**2*(a + 4)/4
Let d = -1043/9 + 116. Let z(l) be the second derivative of 0 + d*l**3 + 1/36*l**4 + 2*l + 1/6*l**2. Find u such that z(u) = 0.
-1
Suppose a - 5*q - 2 = 0, -3 + 5 = a + 3*q. Suppose -5*h - 3*i + 35 = 0, 0*h + 5*h - 25 = -i. Factor 75*z**3 - 8*z + a*z - 2*z - h + 35*z**2.
(3*z - 1)*(5*z + 2)**2
Let z(x) be the second derivative of x**4/6 - x**3/3 - 2*x**2 + x. Factor z(a).
2*(a - 2)*(a + 1)
Let b be (-9)/(-15) + 76/(-10). Let h = b + 9. Find v, given that 4*v**2 - 2*v - 7*v + 2 + 3*v**h + 0*v = 0.
2/7, 1
Let o be 3/(-2)*24/(-18). Factor 12*n**o - 6*n**2 - 2*n**4 - 6*n + 2*n.
-2*n*(n - 1)**2*(n + 2)
Let j(p) = p**2 - p - 2. Let h(t) = t**2 - 1. Let z(w) = 4*h(w) - 3*j(w). Determine x so that z(x) = 0.
-2, -1
Let r(y) be the first derivative of 15*y**4/4 + 18*y**3 + 63*y**2/2 + 24*y + 65. Determine i so that r(i) = 0.
-8/5, -1
Let y = 2 - 0. Let t = y - 1. Factor -g + g**2 + 1 - t.
g*(g - 1)
Suppose 18*v = 146 - 110. Determine c so that 1/2*c**v + 3/2 - 2*c = 0.
1, 3
Let p(m) be the third derivative of -m**6/40 - 7*m**5/20 - 15*m**4/8 - 9*m**3/2 - 9*m**2. Factor p(b).
-3*(b + 1)*(b + 3)**2
Let m(o) be the first derivative of 0*o**3 + 0*o - 1/4*o**2 + 0*o**5 + 3 + 1/4*o**4 - 1/12*o**6. Suppose m(v) = 0. What is v?
-1, 0, 1
Suppose 0 = c + 22 + 16. Let t = 191/5 + c. Solve t*x**2 + 0*x - 1/5*x**3 + 0 = 0 for x.
0, 1
Let c(n) be the second derivative of -3/40*n**5 + n + 0*n**2 + 0*n**3 + 0 - 1/30*n**6 + 0*n**4 - 1/252*n**7. Factor c(s).
-s**3*(s + 3)**2/6
Let r(k) be the second derivative of 3*k**4 + 4*k**3 + 2*k**2 + 2*k + 4. Factor r(g).
4*(3*g + 1)**2
Suppose 4*a - u - 9 = 0, -a + 0*a = -2*u - 4. Factor -2/5*w - 2/5*w**4 + 0 + 2/5*w**a + 2/5*w**3.
-2*w*(w - 1)**2*(w + 1)/5
Let k(n) be the third derivative of 0*n - 6*n**2 - 1/96*n**4 + 1/12*n**3 + 0 - 1/240*n**5. Let k(b) = 0. Calculate b.
-2, 1
Find r such that 32/5*r**2 + 24/5*r**3 - 24/5*r + 4/5*r**4 - 36/5 = 0.
-3, -1, 1
Suppose -m = -3*m + 12. Let s(f) be the second derivative of -12*f**5 + 16/3*f**4 + 40/3*f**m - 16/15*f**3 + 0*f**2 + 0 - 125/21*f**7 - f. Factor s(r).
-2*r*(5*r - 2)**4/5
Factor -6/11 + 6/11*a**2 + 2/11*a - 2/11*a**3.
-2*(a - 3)*(a - 1)*(a + 1)/11
Let j(b) be the first derivative of 3*b**4/4 + b**3 - 3*b**2/2 - 3*b + 6. Factor j(i).
3*(i - 1)*(i + 1)**2
Let c(s) = -s**3 - s**2 - s. Let m(x) = -x**4 + 21*x**3 - 195*x**2 + 509*x. Let w(r) = 3*c(r) - m(r). Factor w(p).
p*(p - 8)**3
Let y(g) be the third derivative of -g**6/480 + 27*g**2. Factor y(i).
-i**3/4
Let g be 2/(9066/9063) + -2. Let u = 36269/7555 + g. Find x such that 8/5 - u*x - 14/5*x**2 = 0.
-2, 2/7
Suppose 51*i = 54*i - 12, 4*k - 16 = -2*i. Solve 0*g - 3/2*g**k + 45/4*g**3 + 0 - 39/4*g**4 = 0 for g.
0, 2/13, 1
Let z be 36/(-27)*6/(-2). Let p(u) = -8*u**3 - 4*u - 4. Let k(m) = 7*m**3 + m**2 + 3*m + 3. Let j(g) = z*k(g) + 3*p(g). Factor j(n).
4*n**2*(n + 1)
Factor -4/15*l**2 + 4/15*l**3 + 2/15*l**4 + 2/15 - 2/15*l**5 - 2/15*l.
-2*(l - 1)**3*(l + 1)**2/15
Let w(r) = r**3 + 13*r**2 + 14*r + 25. Let a be w(-12). Let t be ((-18)/(-8))/(-3)*-16. Factor -t*h**2 + a + 8*h**2 + 3*h**2.
-(h - 1)*(h + 1)
Let y(z) = z**3 + 5*z**2 + 5*z + 4. Let x be y(-4). Let s(r) = -r**3 + 4*r**2 + 5*r + 3. Let d be s(5). Factor -k + x*k - 3*k**2 - k**d + 5*k**2.
-k*(k - 1)**2
Let g(m) = -m**2 - 7*m + 8. Let u be g(-8). Let p be 45/(-6)*(u + -2). Suppose 5*s**4 + p*s**2 + 4*s**4 - 21*s**3 + s**2 - 4*s = 0. Calculate s.
0, 2/3, 1
Let q(j) be the second derivative of 2/3*j**3 + 2*j**2 + 0 + 2*j 