(z) = -6*z - 3. Let p be s(-1). Let y(n) be the first derivative of -2/3*n**p + 0*n**2 - 1/2*n**4 + 2 + 0*n. Determine w, given that y(w) = 0.
-1, 0
Let u = -5 - -5. Let g = 97/3 + -32. Factor u - 1/3*p**2 + g*p.
-p*(p - 1)/3
Let j(d) be the third derivative of 3*d**8/112 - 2*d**7/35 - d**6/5 + 9*d**5/10 - 11*d**4/8 + d**3 - 8*d**2 + 4. Solve j(k) = 0.
-2, 1/3, 1
Let -11*u**4 + 8*u**3 - 19*u**4 - 16*u**2 - 2*u**5 + 34*u**4 = 0. What is u?
-2, 0, 2
Let z(i) be the first derivative of 3/4*i**2 + 0*i - 7/2*i**3 + 3 + 45/8*i**4 - 27/10*i**5. Suppose z(t) = 0. Calculate t.
0, 1/3, 1
Suppose 2*w - 18*w = 0. Let r be (-1 - -2) + (-2)/(-2). Factor w*u - 1/2 + 1/2*u**r.
(u - 1)*(u + 1)/2
Suppose 4*j + 4*i = -17 + 49, -2*j + 15 = 3*i. Let p(s) = s**2 - 8*s - 7. Let a be p(j). Factor -2/3*q + 0 + 2/3*q**a.
2*q*(q - 1)/3
Let z(i) be the third derivative of 0*i - 1/12*i**6 - 2/3*i**3 + 0 - 7/12*i**4 - 3/10*i**5 + 6*i**2 - 1/105*i**7. Factor z(s).
-2*(s + 1)**3*(s + 2)
Let p(l) = l - 2. Let f be p(1). Let i be (-1 + 2/f)/(-1). Factor -4*g**5 + 0*g**3 + 0*g**i + 3*g**5.
-g**5
Let h(g) be the first derivative of g**3/3 - g**2/2 + 3*g + 3. Let x(f) = -6*f**2 + 6*f - 16. Let k(p) = 16*h(p) + 3*x(p). Factor k(l).
-2*l*(l - 1)
Suppose -3*d + 13*r - 5 = 8*r, 3 = 3*r. Let 2/7*p**5 + 8/7*p**2 + 0*p**3 - 6/7*p**4 + d + 0*p = 0. What is p?
-1, 0, 2
Let y(z) = -z + 7. Let d be y(7). Determine w so that -2/5*w**4 - 2/5*w**5 + 2/5*w**2 + 2/5*w**3 + 0*w + d = 0.
-1, 0, 1
Let u(q) be the first derivative of q**5/40 + 3*q**4/8 + 9*q**3/4 + 27*q**2/4 - 3*q - 5. Let j(d) be the first derivative of u(d). Let j(t) = 0. Calculate t.
-3
Let d(s) be the second derivative of s**6/20 - 3*s**5/10 + 3*s**4/4 - s**3 + 3*s**2/4 - 6*s. Factor d(c).
3*(c - 1)**4/2
Let q(p) be the first derivative of p**3/3 - 3*p**2/2 + 2*p - 7. Let q(n) = 0. What is n?
1, 2
Factor 0 - 3/4*u**3 - 5/4*u**2 + 1/4*u**4 + 1/4*u**5 - 1/2*u.
u*(u - 2)*(u + 1)**3/4
Let p = -27 - -27. Let a be (10/(-12))/((-5)/4). Factor 0 - a*g**3 - 2/3*g**2 + p*g + 2/3*g**5 + 2/3*g**4.
2*g**2*(g - 1)*(g + 1)**2/3
Find j such that 8/7*j**2 + 1/7*j**3 + 18/7 + 3*j = 0.
-3, -2
Let r(k) be the second derivative of 4*k**7/231 + k**6/15 + 9*k**5/110 + k**4/66 - k**3/33 - 10*k. Let r(s) = 0. What is s?
-1, 0, 1/4
Let q(m) be the third derivative of m**8/30240 - m**7/7560 - m**6/540 - m**5/60 - 4*m**2. Let o(y) be the third derivative of q(y). Factor o(u).
2*(u - 2)*(u + 1)/3
Let r(f) be the third derivative of f**6/600 - f**5/150 - 19*f**2. Factor r(l).
l**2*(l - 2)/5
Let m(r) be the first derivative of -8*r + 3 - 2/3*r**3 + 4*r**2. Factor m(h).
-2*(h - 2)**2
Let l(s) be the third derivative of -s**6/75 - s**5/150 + s**4/15 + s**3/15 - 3*s**2. Let l(g) = 0. What is g?
-1, -1/4, 1
Let x(d) be the first derivative of 5*d**3 - 9*d**2 + 3*d + 7. Suppose x(t) = 0. Calculate t.
1/5, 1
Factor -2*g**2 + 3*g**2 - 4*g**2 + 66*g + 68 - 431.
-3*(g - 11)**2
Let v(r) be the second derivative of -r**4/42 + 4*r**3/21 - 3*r**2/7 + 18*r. Factor v(d).
-2*(d - 3)*(d - 1)/7
Let m be (0 - -5) + (-94)/6 + 11. Factor 0*b + 0 + m*b**2 - 1/3*b**3.
-b**2*(b - 1)/3
Let y(u) be the first derivative of -3/2*u**2 - 2 + 0*u**4 + 1/2*u**6 - 2*u**3 + 6/5*u**5 + 0*u. Solve y(i) = 0 for i.
-1, 0, 1
Let i be ((-11)/44)/(-1*7). Let a(p) be the third derivative of 0 + i*p**4 + 0*p - p**2 + 1/210*p**5 + 2/21*p**3. Factor a(n).
2*(n + 1)*(n + 2)/7
Determine x so that 0 + 2/3*x + 4/3*x**2 + 2/3*x**3 = 0.
-1, 0
Suppose -5*a - 4*m = -145, 2*a + 2*a + 3*m - 115 = 0. Let g = a + -15. Suppose 4*f**2 - f**3 - 5*f**4 + 14*f**2 - 9*f**3 - 9*f**4 - 4 + g*f = 0. Calculate f.
-1, 2/7, 1
Suppose -d - 5*a - 18 = 0, 4*a - 2 = -4*d - 10. Factor 1/2*g**4 + d*g + 3*g**2 + 2*g**3 + 1/2.
(g + 1)**4/2
Suppose 0 = 2*p + 2*p. Suppose z + 6 = -2*s, -5*z + 7*s - 3*s + 26 = p. Factor 2*g**3 + 8*g - 4 + g + 0*g - 8*g**z + g.
2*(g - 2)*(g - 1)**2
Let s = -188 - -191. Let i(j) be the second derivative of 3/80*j**5 + 1/2*j**s - 5*j + 0 - 11/48*j**4 - 1/2*j**2. Factor i(q).
(q - 2)*(q - 1)*(3*q - 2)/4
Let a = 198383009/366310 + 3/52330. Let g = a - 539. Determine r so that g*r**3 - 10/7*r**2 - 4/7*r + 0 - 2*r**5 + 10/7*r**4 = 0.
-1, -2/7, 0, 1
Let b(w) = 1. Let y(t) = 5. Let l(m) = 4*b(m) - y(m). Let k(h) = -h**2 - 6. Let f(g) = k(g) - 6*l(g). Suppose f(d) = 0. What is d?
0
Let a(u) be the first derivative of 2*u**5/45 + u**4/18 - 2*u**3/27 - u**2/9 - 6. What is m in a(m) = 0?
-1, 0, 1
Let w be -1 - (-6 - -4) - 1. Let k(z) be the first derivative of -5*z**3 + w*z - 3/2*z**2 - 3*z**4 + 3. Determine s so that k(s) = 0.
-1, -1/4, 0
Let l(y) be the third derivative of y**5/15 - 13*y**4/3 + 338*y**3/3 - 51*y**2. Determine z so that l(z) = 0.
13
Let b = -21 - -25. Let t(g) be the second derivative of -1/12*g**b + 0 + 1/6*g**3 + 0*g**2 - g. Suppose t(i) = 0. Calculate i.
0, 1
Factor p**2 - 3*p**2 - 2*p**2 - 4*p**3.
-4*p**2*(p + 1)
Let t = -816 - -85681/105. Let c(f) be the third derivative of 1/84*f**4 + 1/420*f**6 + 0*f**3 + t*f**5 - f**2 + 0*f + 0. Solve c(q) = 0 for q.
-1, 0
Let 6*o**3 + 41*o**4 + 29*o**3 - 20*o + 9*o**4 - 20*o**2 + 15*o**5 = 0. What is o?
-2, -1, 0, 2/3
Let q be ((-24)/(-30))/(14/35). Determine k, given that -32/5*k**4 - 2/5 + 16*k**3 - 66/5*k**q + 4*k = 0.
1/4, 1
Suppose i - 4 = 2*x, 5*i - 4*x - 13 - 7 = 0. What is r in 0*r**4 + 6*r**3 + r**i - 6*r + 3 - 2*r**4 - 2*r**4 = 0?
-1, 1
Let o(d) be the third derivative of -d**8/216 - 4*d**7/315 + d**6/135 + 7*d**5/135 + d**4/36 - 2*d**3/27 - 12*d**2. Solve o(w) = 0 for w.
-1, 2/7, 1
Let g be (-1)/23*246/(-18). Let b = -6/23 + g. Solve 0 - b*a - a**3 - a**2 - 1/3*a**4 = 0 for a.
-1, 0
Determine f, given that 3*f**4 + 14*f**3 + 0 + 0 + 6*f**2 - 23*f**3 = 0.
0, 1, 2
Let y(s) = s + 12. Let l be y(-7). Let z(v) be the second derivative of 0 + 1/3*v**4 - 3*v + 1/3*v**3 + 1/21*v**7 - v**2 - 1/5*v**l - 1/15*v**6. Factor z(n).
2*(n - 1)**3*(n + 1)**2
Let p be -4 - (-8)/(8/4). Let o = -1/20 + 1/4. Factor p + 0*l - o*l**2 - 1/5*l**3.
-l**2*(l + 1)/5
Let b(o) = o**2 - 5*o + 5. Let n be b(5). Let p(g) be the second derivative of 2*g + 0 + g**3 + g**2 + 1/10*g**n + 1/2*g**4. Solve p(v) = 0.
-1
Factor 7*y**3 - 3*y**5 + 8*y**4 + 7*y**5 - 3*y**3.
4*y**3*(y + 1)**2
Determine l so that 0*l**3 + 4/7*l**2 + 0*l - 2/7 - 2/7*l**4 = 0.
-1, 1
Let l be ((-4)/2)/(216/(-6)). Let k(z) be the first derivative of -1/12*z**4 + 2 + 0*z + l*z**6 + 0*z**3 + 0*z**5 + 0*z**2. Suppose k(m) = 0. Calculate m.
-1, 0, 1
Let t(v) be the first derivative of -1/14*v**4 + 0*v - 2 + 0*v**2 + 0*v**3. Factor t(s).
-2*s**3/7
Let t(r) = -2*r**2 + 14*r - 2. Let d(x) = -x - 1. Let s(q) = -6*d(q) - t(q). Solve s(b) = 0.
2
Let q(g) be the first derivative of g**4/18 - g**2/3 - 2*g + 3. Let f(i) be the first derivative of q(i). What is d in f(d) = 0?
-1, 1
Let u be ((-10)/(-24))/((-405)/(-216)). Factor -4/9*w**2 - u - 2/3*w.
-2*(w + 1)*(2*w + 1)/9
Let z(o) = 2*o**2 + 0*o - 4*o + 8*o - o**3 + 1. Let h be z(3). Determine x so that 6*x**h + 2*x**5 + 6*x**3 + 4*x**2 - 2*x**2 + 0*x**5 = 0.
-1, 0
Suppose 1 - 15 + 10*w - 14 + 3 - w**2 = 0. What is w?
5
What is l in -6*l + l + 3*l**3 + 4*l**3 - 2*l**3 = 0?
-1, 0, 1
Let m(y) be the third derivative of -y**7/630 + y**6/360 + y**5/90 - 14*y**2. Factor m(a).
-a**2*(a - 2)*(a + 1)/3
Find w, given that -4*w**3 + 46 + 4*w - 94 + 48 = 0.
-1, 0, 1
Suppose 0 = x - 4*b + 2, 0 = -5*b + 3 + 2. Let d(m) be the second derivative of 1/36*m**4 + 0*m**x + 0*m**3 - 1/30*m**5 + 3*m + 0 + 1/90*m**6. Factor d(a).
a**2*(a - 1)**2/3
Let u(a) be the second derivative of 0*a**3 + 0*a**5 + 0 + 2*a - 1/70*a**7 + 0*a**4 + 1/50*a**6 + 0*a**2. Factor u(w).
-3*w**4*(w - 1)/5
Let y(b) be the first derivative of -4 + 1/10*b**5 - 1/4*b**2 + 1/2*b**3 + 0*b - 3/8*b**4. Suppose y(m) = 0. What is m?
0, 1
Let k(h) = -4*h + 9. Let j(g) = 3*g - 9. Let w(a) = -5*j(a) - 4*k(a). Let s be w(-7). What is p in -4 + 2*p**2 + 2*p + s*p + 4 = 0?
-2, 0
Let y(a) be the second derivative of a**4/60 + 7*a**3/30 + 3*a + 2. Determine g so that y(g) = 0.
-7, 0
Let d(a) = -4*a**2 - 3*a + 2. Let h(p) = -4*p**2 - 2*p + 2. Let t(z) = -4*d(z) + 5*h(z). Find g, given that t(g) = 0.
-1/2, 1
Let x(n) be the first derivative of 2*n**3/21 - 2*n**2/7 - 6*n/7 - 6. Suppose x(j) = 0. What is j?
-1, 3
Solve 0 + 3/2*n - 1/2*n**