3*g**2 + 3*g + 0*g**u + 0*g**2 = 0. Calculate g.
-1, 0
Let l(f) be the second derivative of 21*f**5/20 - 11*f**4/4 + 16*f**3/7 - 6*f**2/7 + 2*f. Factor l(z).
3*(z - 1)*(7*z - 2)**2/7
Let d(y) be the second derivative of -y**6/180 + y**4/24 - y**3/18 + 7*y. Let d(m) = 0. Calculate m.
-2, 0, 1
Factor 3*p**3 + 0*p**2 + 0*p**2 - 3*p**2 - 6*p + 0*p**3.
3*p*(p - 2)*(p + 1)
Let y(k) be the third derivative of 0 + 0*k**3 + 6*k**2 + 1/108*k**4 + 1/270*k**5 + 0*k. Factor y(a).
2*a*(a + 1)/9
Let a(n) be the first derivative of n**6/420 + n**5/210 - n**4/84 - n**3/21 - n**2/2 + 3. Let z(g) be the second derivative of a(g). Let z(y) = 0. What is y?
-1, 1
Factor -40*g**3 + 126*g**4 - 17*g + 33*g + 38*g**2 - 80*g**3 - 20*g.
2*g*(3*g - 1)**2*(7*g - 2)
Factor 8 - 83*m - 2*m**2 - 90*m + 167*m.
-2*(m - 1)*(m + 4)
Let j(d) = -3*d**3 + 4*d. Let p(f) be the first derivative of -5*f**4/4 + f**3/3 + 4*f**2 + 6. Let k(z) = -7*j(z) + 4*p(z). Factor k(h).
h*(h + 2)**2
Suppose 5 = -6*a + a - 5*b, -2*a - 17 = 5*b. Factor -4*n**3 - a*n**2 + 3*n**2 + n**4 + 3*n**3 - n**5 + 2*n**5.
n**2*(n - 1)*(n + 1)**2
Let k = -600/7 - -86. Find b such that 0*b + k*b**3 + 2/7*b**4 + 0 - 2/7*b**5 - 2/7*b**2 = 0.
-1, 0, 1
Let r(x) be the second derivative of x**6/45 + x**5/6 + 4*x**4/9 + 4*x**3/9 - 7*x. Determine d, given that r(d) = 0.
-2, -1, 0
Let g = 865/33 + -77/3. Suppose -g*d + 2/11 - 2/11*d**3 + 6/11*d**2 = 0. What is d?
1
Suppose 12 + 8 = 5*z. Let k(f) be the second derivative of 2*f + 4/45*f**6 + 5/6*f**z + 1/3*f**2 - 7/9*f**3 - 13/30*f**5 + 0. Solve k(n) = 0.
1/4, 1
Suppose -32/7*n + 16/7 + 12/7*n**2 = 0. What is n?
2/3, 2
Let w(d) be the first derivative of -d**7/105 + d**6/120 + 3*d**2/2 - 1. Let z(u) be the second derivative of w(u). Determine j so that z(j) = 0.
0, 1/2
Suppose 0 = 2*p + 4 + 2. Let t = 6 + p. Suppose -6*n - t*n**2 + 7*n - 2 + 4*n**2 = 0. What is n?
-2, 1
Suppose 5 = 5*o + 5*w, 5*o = 3*w + 18 + 3. Let d(h) be the first derivative of 0*h + 0*h**2 + 0*h**o + 1/5*h**5 + 0*h**4 - 2. Factor d(b).
b**4
Suppose f = -2*m - 3, -5*f - m - 5 = 4*m. Let h be f/3 + 5/3. Let 0*j**2 + 0*j**2 - 3*j**4 + 3*j**2 - h*j + j**3 + j**3 = 0. Calculate j.
-1, 0, 2/3, 1
Let m = -21 + 36. Let x be (-3)/m + 2 + -1. Let 2/5*p**2 - 6/5*p + x = 0. What is p?
1, 2
Let v(b) be the first derivative of -22*b**3/15 - 13*b**2/5 - 4*b/5 + 5. Let v(a) = 0. Calculate a.
-1, -2/11
Let m(f) be the third derivative of -f**5/270 - 5*f**4/108 - 2*f**3/9 - 5*f**2. Suppose m(s) = 0. Calculate s.
-3, -2
Let w = 19 - 6. Suppose 3*x + 3 = -3*i + 15, -5*i + 2*x = -w. Let -2*j**4 + 5*j**i - 4*j**2 + 0*j**4 + 2*j - j = 0. What is j?
0, 1/2, 1
Factor 120*l - 24*l**3 + 15 - 38*l**2 + 36*l**2 - 3*l**4 - 16*l**2 - 90.
-3*(l - 1)**2*(l + 5)**2
Let x(j) = -j**2 + 3*j + 4. Let a be x(3). Let p = 10 + -6. Find f, given that -2*f**p - 2*f**2 - f**3 - f**3 + 2*f**5 + a*f**2 = 0.
-1, 0, 1
Let y(w) = w**3 - w**2 - w. Let q be y(2). Let r(n) be the third derivative of -n**q - 1/36*n**4 + 0*n**5 + 0*n + 0 + 0*n**3 + 1/180*n**6. Solve r(c) = 0 for c.
-1, 0, 1
Let a(z) = -4*z**3 + 4*z**2 + 4. Let k(p) = -21*p**3 + 21*p**2 - p + 21. Let g(f) = 11*a(f) - 2*k(f). Let t(q) be the first derivative of g(q). Factor t(v).
-2*(v - 1)*(3*v + 1)
Let 45*h**4 - 1 - 50*h**2 - 2 - 3 + 11 = 0. What is h?
-1, -1/3, 1/3, 1
Let z(u) be the first derivative of 2*u**3/3 + 3*u**2/2 + u - 3. Let i be z(-2). Let 6*s + 2 + s**2 + i*s**2 + 4*s**2 - 4*s**2 = 0. Calculate s.
-1, -1/2
Let u(f) = -f**3 - f**2 + 1. Let w(d) = 2*d**5 + 6*d**4 - 3*d**3 - 7*d**2 + 9. Let y(b) = -18*u(b) + 2*w(b). Determine c so that y(c) = 0.
-1, 0
Let d(h) be the third derivative of -h**7/350 + h**6/200 + h**5/100 - h**4/40 - 6*h**2. Factor d(g).
-3*g*(g - 1)**2*(g + 1)/5
Suppose -o + 2 = -m - 0, -2*o + 10 = m. Determine t, given that 729/4*t**3 + 27*t + 243/2*t**m + 2 = 0.
-2/9
Let q(r) be the second derivative of -3*r**5/20 + r**4/2 + r**3/2 - 3*r**2 - 49*r. Factor q(h).
-3*(h - 2)*(h - 1)*(h + 1)
Let h(i) be the second derivative of -i**6/30 - i**5/20 + i**4/12 + i**3/6 - 28*i. Determine d, given that h(d) = 0.
-1, 0, 1
Let p(r) = r**4 + r**3 - r**2 + r - 1. Let u(v) = -6*v**4 - 8*v**3 + 3*v**2 - 5*v + 5. Let i(k) = -5*p(k) - u(k). Factor i(f).
f**2*(f + 1)*(f + 2)
Let b = 5 - 5. Suppose -s + 5*d - 12 = b, -s + 5*s - 5*d = -3. Factor -4*o**2 + 6*o**s - 3*o**3 - o**3.
2*o**2*(o - 2)
Let x(r) be the second derivative of -r**6/75 + r**5/10 - 3*r**4/10 + 7*r**3/15 - 2*r**2/5 - 4*r. Factor x(t).
-2*(t - 2)*(t - 1)**3/5
Let q(k) be the first derivative of -k**4/48 + k**3/12 - k**2/8 - 3*k + 4. Let g(x) be the first derivative of q(x). Factor g(n).
-(n - 1)**2/4
Let g(m) = m - 3. Let v be g(5). Let x(n) be the first derivative of 1/12*n**3 - 1/4*n - 1 + 0*n**v. Determine p so that x(p) = 0.
-1, 1
Let m be 7/21*7/7. Solve m*y**2 - 1/3 + 1/3*y**3 - 1/3*y = 0.
-1, 1
Let l(k) be the first derivative of -1/16*k**4 - k - 2 + 0*k**2 + 1/4*k**3. Suppose l(m) = 0. Calculate m.
-1, 2
Let c = -1983/4 + 496. Solve c*f**5 - 1/4*f**3 + 0 + 0*f**2 + 0*f + 0*f**4 = 0.
-1, 0, 1
Let y(i) = -5*i**5 + 5*i**4 + 2*i**2 - 2. Let q(z) = -5*z**5 + 4*z**4 + z**3 + 3*z**2 - 3. Let w(t) = 2*q(t) - 3*y(t). Find k, given that w(k) = 0.
0, 2/5, 1
Let u(d) be the third derivative of d**8/28 + d**7/14 - 3*d**6/40 - d**5/4 - d**4/8 + 8*d**2. Solve u(t) = 0.
-1, -1/4, 0, 1
Let s be (41/13 - 1) + 782/(-391). Suppose 0*w - s*w**4 + 0 - 4/13*w**3 - 2/13*w**2 = 0. What is w?
-1, 0
Determine k, given that 5*k**2 + 0 - 25/2*k - 1/2*k**3 = 0.
0, 5
Suppose 96*b + 2 = 97*b. Factor -36/5*k**b - 192/5 - 3/5*k**3 - 144/5*k.
-3*(k + 4)**3/5
Let i = 18 + -12. Factor -b**2 + 10*b - 4 + i*b**2 - 8*b**2 - b**2.
-2*(b - 2)*(2*b - 1)
Factor 0*r + 2/5*r**3 - 6/5*r**2 + 8/5.
2*(r - 2)**2*(r + 1)/5
Let b(n) be the first derivative of -n**5/20 - n**4/16 + n**3/6 + 1. Solve b(c) = 0 for c.
-2, 0, 1
Let w be (-4 - 1)*(-8)/20. Let r = -1 - -1. Let 4 - w + k**2 + r*k**2 - 3*k = 0. Calculate k.
1, 2
Suppose 5*f - 8 = -a, -4*a = 4*f - 0*a. Let u(o) be the first derivative of 3/5*o**5 - 2 + 6*o**f + 3*o**4 + 3*o + 6*o**3. Factor u(l).
3*(l + 1)**4
Let f(b) = 2*b - 6. Let y be f(8). Let s be (-11)/(-5) + (-2)/y. Solve -3*v - 2 + 2*v**2 + v + 0*v**s + 2*v**3 = 0 for v.
-1, 1
Let x be (1/68)/(4 + -5). Let z = 269/204 - x. Determine i so that z*i**2 - 2/3 - 2/3*i**4 + 0*i + 0*i**3 = 0.
-1, 1
Let k be ((-42)/(-9) + -4)*(-3)/(-8). Factor 0*f + 1/4*f**4 - 1/4*f**5 + k*f**3 - 1/4*f**2 + 0.
-f**2*(f - 1)**2*(f + 1)/4
Let w(n) be the third derivative of 0*n + 0*n**3 + 1/224*n**8 + 0 + 7/40*n**5 + 1/28*n**7 - 7*n**2 + 1/8*n**4 + 9/80*n**6. Factor w(y).
3*y*(y + 1)**3*(y + 2)/2
Let -2*p + 19*p**2 - 33*p**2 - 2*p + 18*p**2 = 0. Calculate p.
0, 1
Let o be (((-10)/3)/5)/(5/(-3)). Let b be -2 + (-1)/(1/(-2)). Factor b*v + o*v**2 - 2/5.
2*(v - 1)*(v + 1)/5
Suppose 4*j + 2*c - 4*c - 10 = 0, -j - 2*c = 0. Suppose 0 = 2*i - 3*q - 15, q + j = -3. Factor 3/4*u**2 + i - 1/2*u.
u*(3*u - 2)/4
Let p(y) be the third derivative of -y**6/60 + y**5/40 + y**4/8 - 5*y**3/6 - 5*y**2. Let g(j) be the first derivative of p(j). Factor g(n).
-3*(n - 1)*(2*n + 1)
Let d(y) be the second derivative of y**5/20 + y**4/12 - y**3/6 - y**2/2 - 4*y. Factor d(i).
(i - 1)*(i + 1)**2
Suppose 3*r = 5*r. Let y(h) be the third derivative of 0*h**3 + r*h - h**2 + 0*h**4 + 0 + 1/90*h**5. Factor y(o).
2*o**2/3
Let q(h) be the first derivative of -h**4/30 + h**2/5 + 3*h + 5. Let z(d) be the first derivative of q(d). Determine s, given that z(s) = 0.
-1, 1
Let q(h) be the first derivative of h**6/120 + h**5/20 + h**4/8 + h**3/6 + h**2 + 2. Let y(i) be the second derivative of q(i). Factor y(n).
(n + 1)**3
Let p(a) be the first derivative of a**5/5 - 3*a**4/4 + a**3 - a**2/2 + 6. Factor p(w).
w*(w - 1)**3
What is o in -3/4 + 0*o**2 + 3/2*o**3 + 3/4*o**4 - 3/2*o = 0?
-1, 1
Let y be -2 + 3 + (0 - -4). Find v, given that 4*v**3 + 3*v**3 + 4*v**3 + v**2 + v**y - 4*v**3 - 5*v**4 + 4 - 8*v = 0.
-1, 1, 2
Solve 2/9 + 4/9*x + 2/9*x**2 = 0.
-1
Suppose 6/7*m + 2/7*m**3 + 8/7*m**2 + 0 = 0. Calculate m.
-3, -1, 0
Suppose 0 = 9*w - 11 - 7. Suppose 0*u + 0 - 1/3*u**w - 1/3*u**3 = 0. Calculate u.
-1, 0
Suppose 5*s + 10 = -0*s - 5*j, -2*s = -j - 8. Solve -4/11*p + 0 + 2/11*p**s = 0 for p.
0, 2
Let g(o) = -o**3 - 