(-1)/(-6)). Determine s, given that s**y + s**2 - 4*s**2 + 2*s = 0.
0, 1
Let 6*z + z**4 - 6*z - 2*z**5 - 3*z**4 = 0. What is z?
-1, 0
Find z, given that 2/9*z**3 - 2/9*z**4 + 0*z + 0 + 4/9*z**2 = 0.
-1, 0, 2
Let k(m) = 13*m**4 - 16*m**3 + 2*m**2 + 4*m. Let x(q) = -q**4. Let j(u) = 2*k(u) + 6*x(u). Factor j(y).
4*y*(y - 1)**2*(5*y + 2)
Factor 24 + 2/3*s**2 + 8*s.
2*(s + 6)**2/3
Let m(t) be the third derivative of 4/9*t**3 - 2/9*t**4 + 1/18*t**5 + 0*t + 2*t**2 - 1/180*t**6 + 0. Determine b, given that m(b) = 0.
1, 2
Let z(n) be the first derivative of 1 - n**2 + 5/4*n**4 + n**3 + 0*n. Factor z(j).
j*(j + 1)*(5*j - 2)
Let k(a) be the third derivative of a**6/300 - a**5/150 - a**4/60 + a**3/15 - 2*a**2. What is j in k(j) = 0?
-1, 1
Let n(v) = -3*v**3 + v**2 - v - 1. Let h be n(-1). Factor 1/2*y - 1/2*y**h - 1/2*y**3 + 1/2*y**2 + 0.
-y*(y - 1)*(y + 1)**2/2
Let q(n) be the second derivative of -49*n**5/30 + 77*n**4/18 - 32*n**3/9 + 4*n**2/3 + n. Let q(k) = 0. What is k?
2/7, 1
Let i = -12 + 12. Suppose -4*m + 3*m + 3*w - 10 = i, 4 = -4*m + 3*w. Suppose 0 + 0*d**m + 1/4*d**3 + 0*d - 1/2*d**4 = 0. Calculate d.
0, 1/2
Let d(j) = -4*j**2 - j - 3. Let u(h) = -1. Let y(i) = d(i) - 3*u(i). Factor y(n).
-n*(4*n + 1)
Let k be (3*10/(-135))/(2/(-6)). Let h(v) be the first derivative of 1 + 2/9*v**3 + k*v**2 + 0*v. Factor h(f).
2*f*(f + 2)/3
Solve -5/2*n - 1/2*n**2 + 3 = 0.
-6, 1
Factor -128/7 + 32/7*t - 2/7*t**2.
-2*(t - 8)**2/7
Let v(g) be the third derivative of g**6/120 + g**5/60 - g**4/24 - g**3/6 - 6*g**2. Factor v(q).
(q - 1)*(q + 1)**2
Let l(a) be the third derivative of -a**5/150 + a**4/15 - a**3/5 - 14*a**2. Solve l(k) = 0 for k.
1, 3
Suppose 3 - 6 = g. Let w be (-2)/2 + (-5)/g. Solve 0 + 4/3*u**3 - w*u**2 - 2/3*u**4 + 0*u = 0 for u.
0, 1
Let s(w) be the second derivative of w**5/240 - w**2 + w. Let d(b) be the first derivative of s(b). Suppose d(m) = 0. What is m?
0
Let h(z) be the third derivative of -z**6/24 - 12*z**2. Find k such that h(k) = 0.
0
Let k(q) = 4*q - 58. Let y be k(15). Solve -p**4 - 6/5*p**3 + 8/5*p - 1/5*p**5 + 4/5*p**y + 0 = 0 for p.
-2, 0, 1
Let w = 62/39 - 12/13. Factor -8/3*d**2 + w*d**5 + 0 - 8/3*d**4 + 2/3*d + 4*d**3.
2*d*(d - 1)**4/3
Suppose -h**3 + h - 6*h**2 - 4*h - 2*h**3 = 0. What is h?
-1, 0
Suppose h = 1 + 5. Let c(d) be the second derivative of 0*d**2 + 0*d**5 + 1/63*d**7 - 1/36*d**4 - d + 0*d**3 + 0 + 1/30*d**h. Determine s, given that c(s) = 0.
-1, 0, 1/2
Let f(u) = u**2 + 3*u - 1. Let k be f(-4). Solve -5*q**2 + 2*q**k + 3*q**2 + 2*q - 2*q**2 = 0.
0, 1
Let g(n) = n**2 + 12*n + 35. Let r be g(-7). Find k such that -4/5*k + 4/5*k**3 + 2/5 - 2/5*k**4 + r*k**2 = 0.
-1, 1
Let m(g) be the second derivative of 0 + g - 1/30*g**4 + 0*g**3 + 0*g**2 + 3/50*g**5 - 2/75*g**6. Solve m(l) = 0.
0, 1/2, 1
Let r(t) be the third derivative of t**9/90720 - t**7/7560 + t**5/20 + 5*t**2. Let y(i) be the third derivative of r(i). Find z, given that y(z) = 0.
-1, 0, 1
Let a(n) be the second derivative of 0 + 1/6*n**4 - 1/8*n**2 - 1/24*n**3 + 3/20*n**5 + 4*n. Let a(d) = 0. Calculate d.
-1/2, 1/3
Let i(m) be the third derivative of m**6/120 + m**5/15 + m**4/8 + 2*m**2. Let r be i(-3). Find y, given that r*y + 1/2*y**3 + 0 - 1/4*y**4 - 1/4*y**2 = 0.
0, 1
Let m be 4*2/28*98/56. Suppose 1/2 + m*w**2 - w = 0. Calculate w.
1
Let o(y) be the first derivative of 3/4*y**4 + 0*y**2 + 12*y + 2 - 3*y**3. Let o(c) = 0. What is c?
-1, 2
Let -4/7*i**2 + 0*i - 6/7*i**3 + 18/7*i**4 + 0 + 20/7*i**5 = 0. What is i?
-1, -2/5, 0, 1/2
Let p(n) be the second derivative of -5*n + 0 + 0*n**2 + 1/90*n**6 - 1/36*n**4 + 1/126*n**7 + 0*n**3 - 1/60*n**5. Suppose p(v) = 0. Calculate v.
-1, 0, 1
Solve -9*q - 17*q + 29*q - 3*q**3 = 0 for q.
-1, 0, 1
Let a be (3/(-6))/((-2)/(-16)). Let l = 6 + a. Factor -6*f**3 - l*f**4 + f**5 + 2*f**2 + 6*f**3 - f.
f*(f - 1)**3*(f + 1)
Let s be -4 - 1374/(-312) - (-1)/(-4). Factor -4/13*g**2 + 4/13 - s*g**3 + 2/13*g.
-2*(g - 1)*(g + 1)*(g + 2)/13
Let o be ((10/(-16))/((-4)/(-16)))/(-1). Factor 0 + 0*d - d**2 - o*d**3.
-d**2*(5*d + 2)/2
Let v = -6 - -2. Let g(i) = 5*i**2 - 3*i. Let u(m) = 6*m**2 - 2*m. Let n(p) = v*g(p) + 3*u(p). What is r in n(r) = 0?
0, 3
Let r(z) be the first derivative of z**5/20 - 3*z**4/16 + z**3/6 + 4. Factor r(y).
y**2*(y - 2)*(y - 1)/4
Let a(s) be the third derivative of -s**7/945 - s**6/270 + 5*s**2. Factor a(x).
-2*x**3*(x + 2)/9
Find q, given that -3/7*q + 0 - 3/7*q**5 + 0*q**4 + 6/7*q**3 + 0*q**2 = 0.
-1, 0, 1
Let k(d) = 10*d**3 - 3*d**2 + 10*d - 8. Let m(s) = s**3 - s**2 + s - 1. Let h(c) = 3*k(c) - 24*m(c). Find j, given that h(j) = 0.
-2, -1/2, 0
Let c = -18 + -6. Let q be -4*3/c + 0. Factor -q*k - 1/2*k**3 + 0 + k**2.
-k*(k - 1)**2/2
Factor 3*o**2 - o - 4*o + 4*o + 7*o - 6*o**3 - 3.
-3*(o - 1)*(o + 1)*(2*o - 1)
Let b(x) = -x + 28. Let y be b(0). Let w be 7/2*16/y. Factor i - 3*i - 6*i**3 + 0*i + 18*i**4 - 10*i**w.
2*i*(i - 1)*(3*i + 1)**2
Let w(s) be the second derivative of s**9/30240 - s**7/1680 + s**6/720 - 2*s**4/3 + 6*s. Let n(m) be the third derivative of w(m). Factor n(p).
p*(p - 1)**2*(p + 2)/2
Let r be (-22)/18 + 16/72. Let j be (1 - (-8)/12) + r. Factor 2/3*b**2 - 2/3*b - j + 2/3*b**3.
2*(b - 1)*(b + 1)**2/3
Let w(u) = u - 5. Let x be w(-9). Let a be (-60)/x + 4/(-14). Let 0 + 2/3*d**2 - 4/3*d**3 + 2/3*d**a + 0*d = 0. Calculate d.
0, 1
Let l be ((-2)/3)/((-76)/342). Solve 3/4*d**2 - 1/4*d**l + 0 - 1/2*d = 0.
0, 1, 2
Let c be (-30)/(-8) - 33/(-132). Factor 1/2*v**3 - 2*v**2 + 0 + 2*v**c - 1/2*v.
v*(v - 1)*(v + 1)*(4*v + 1)/2
Let x(u) be the second derivative of -7/48*u**4 + 0 + 0*u**2 + 1/24*u**3 + 2*u - 3/40*u**6 + 3/16*u**5. Factor x(r).
-r*(r - 1)*(3*r - 1)**2/4
Let p be -3*-4*1/6. Factor -6/5*s**4 + 0 - p*s**2 - 14/5*s**3 - 2/5*s.
-2*s*(s + 1)**2*(3*s + 1)/5
Let f(q) be the first derivative of -9 - 2/9*q**2 + 0*q + 1/18*q**4 + 2/27*q**3. Factor f(w).
2*w*(w - 1)*(w + 2)/9
Let k(b) be the third derivative of 0 + 0*b**3 - 3*b**2 + 0*b + 1/540*b**6 + 0*b**5 + 0*b**4. Determine z so that k(z) = 0.
0
Let p(z) be the first derivative of -3*z**5/10 + 9*z**4/8 + z**3/2 - 9*z**2/4 + 16. Solve p(x) = 0 for x.
-1, 0, 1, 3
Suppose -5 = -2*b + 7*b. Let f be 1/(b/8*-4). Suppose 14/5*w**f + 8/5 + 32/5*w = 0. What is w?
-2, -2/7
Factor 28/3*n - 2/3*n**2 - 98/3.
-2*(n - 7)**2/3
Let m be 10/3 + (-201)/67. Factor 1/6*p**2 + m + 1/2*p.
(p + 1)*(p + 2)/6
Let w(d) be the first derivative of -d**5/270 + d**3/27 - d**2 - 2. Let x(s) be the second derivative of w(s). Solve x(h) = 0 for h.
-1, 1
Suppose 0*r + 3*r = 6. Suppose 0*u = r*u. Let 1/2*s**2 + 0*s - 1/2*s**3 + u = 0. Calculate s.
0, 1
Let p(h) be the third derivative of -169*h**6/40 + 156*h**5/5 + 51*h**4/2 + 8*h**3 + 38*h**2. Factor p(g).
-3*(g - 4)*(13*g + 2)**2
Let a(y) be the third derivative of -1/120*y**6 + 0*y**4 - 4*y**2 + 0 + 0*y**3 + 1/120*y**5 + 1/420*y**7 + 0*y. Factor a(n).
n**2*(n - 1)**2/2
Let f(h) be the first derivative of h**6/60 + h**5/6 + 2*h**4/3 + 4*h**3/3 + 3*h**2/2 + 3. Let m(u) be the second derivative of f(u). Factor m(i).
2*(i + 1)*(i + 2)**2
Let a(n) be the first derivative of -3*n**3/7 - 15*n**2/7 - 9*n/7 + 14. Find v such that a(v) = 0.
-3, -1/3
Let z(f) = -f - 14. Let t be z(-17). Let r = 93/7 - 13. Let 6/7*n - 2/7*n**2 - 6/7*n**t - r*n**4 + 4/7 = 0. What is n?
-2, -1, 1
Solve 8*j**2 + 4*j**3 - j**4 - j - 13*j**2 + 3*j = 0.
0, 1, 2
Let z be (-4)/18 - (-380)/90. Let u = z + -2. Factor -1 - b**2 + 2*b + 3*b**2 - 2*b**2 - b**u.
-(b - 1)**2
Let i(u) be the third derivative of -1/30*u**5 - 1/24*u**4 - 1/120*u**6 + 0*u**3 + 2*u**2 + 0 + 0*u. Suppose i(n) = 0. What is n?
-1, 0
Let f = -13 + 15. Factor 1 - 3 - f*d + 3 + d**2.
(d - 1)**2
Let q(z) be the third derivative of z**7/4200 + z**6/600 + z**5/200 + z**4/24 + 3*z**2. Let x(u) be the second derivative of q(u). Solve x(m) = 0 for m.
-1
Let n(y) = y**2 + 7*y - 4. Let l be n(-8). Suppose -2*u**l + 0*u**2 + 2*u**2 + u**5 - u + 0*u**4 + 0*u = 0. What is u?
-1, 0, 1
Let z = 71/45 - 7/9. Find v such that -2/5*v**2 - z*v + 0 = 0.
-2, 0
Suppose 0 = -3*a - 9, 2*p = p + 4*a + 14. Let j = 38/231 - -4/33. Factor -j - 2/7*g**p + 4/7*g.
-2*(g - 1)**2/7
Factor -13*h + 4*h**3 + 4*h**2 + 2*h**3 + 13*h.
2*h**2*(3*h + 2)
Let p be (2/8 + -2)/(-15). Let d(y) be the third derivative of -1/6*y**5 + 0 -