 be the first derivative of n(g). Factor h(r).
2*(r - 2)**2*(r - 1)
Let q(w) = -w**3 - 5*w**2 - 5*w - 1. Let d be q(-4). Let l be 9*1 + (-6)/d. Factor l + p**2 + p - 7.
p*(p + 1)
Let a(s) be the second derivative of s**5/4 + 25*s**4/12 + 35*s**3/6 + 15*s**2/2 + 11*s. What is u in a(u) = 0?
-3, -1
Determine b, given that -16/3 - 4/3*b**2 + 20/3*b = 0.
1, 4
Let y = -14 - -20. Suppose -2*q + 12 = y. Let -6/11*w**2 - 18/11*w**q - 2/11 + 10/11*w = 0. What is w?
-1, 1/3
Let s be (-1)/(-2)*(9 + 1). Let c(i) be the first derivative of 1/6*i**4 + 0*i**3 + 0*i + 0*i**s - 1/6*i**2 + 1 - 1/18*i**6. Factor c(l).
-l*(l - 1)**2*(l + 1)**2/3
Let d be 6 - (10/1 - 4). Factor d - 3/4*b**4 + 3/4*b**2 + 0*b + 3/4*b**5 - 3/4*b**3.
3*b**2*(b - 1)**2*(b + 1)/4
Let x(n) be the second derivative of -n**4/108 + 30*n. Factor x(j).
-j**2/9
Let x(q) be the second derivative of -q**4/42 - 2*q**3/7 + 12*q. Factor x(o).
-2*o*(o + 6)/7
Let d = 22 + -20. Let g(f) be the third derivative of 1/70*f**7 - 1/8*f**4 - 2*f**d + 1/40*f**6 + 0 - 1/20*f**5 + 0*f + 0*f**3. Factor g(x).
3*x*(x - 1)*(x + 1)**2
Suppose -p - 5*u + 10 = -6*p, p + 4*u = 23. Suppose p*s = -g + 4 - 10, -2*g = 2*s + 4. Suppose -2/7*f + g + 2/7*f**2 = 0. Calculate f.
0, 1
Let b(x) be the third derivative of 1/45*x**5 + 0 - 1/504*x**8 + 0*x**3 + 2/189*x**7 - 1/45*x**6 - 3*x**2 - 1/108*x**4 + 0*x. Find r such that b(r) = 0.
0, 1/3, 1
Let x(m) be the third derivative of 0*m**4 - 1/40*m**6 - 1/20*m**5 + 0 - 6*m**2 + 1/112*m**8 + 0*m**3 + 0*m + 1/70*m**7. Find s, given that x(s) = 0.
-1, 0, 1
Let p(r) be the second derivative of 0 - 3/35*r**6 + 5/42*r**4 + 0*r**2 - 3/70*r**5 - 1/21*r**3 - 5*r. Determine g so that p(g) = 0.
-1, 0, 1/3
Let a(l) be the second derivative of -1/28*l**4 + 0*l**3 + 0 + 1/70*l**5 - 7*l + 1/14*l**2. Determine h so that a(h) = 0.
-1/2, 1
Find c, given that 20*c - 8 + 30 + 56 + 22 + c**2 = 0.
-10
Suppose 2*g + 4 = 3*g, 5*u + 1 = 4*g. Suppose -4*k + 1 = 2*j - k, u = 2*j + k. Factor n - 1/2 - 1/2*n**j.
-(n - 1)**2/2
Let j(v) be the first derivative of v**6/45 + v**5/10 + v**4/9 + 5*v + 3. Let n(k) be the first derivative of j(k). Determine u, given that n(u) = 0.
-2, -1, 0
Let u(i) be the third derivative of -i**7/840 + i**6/120 - i**5/120 - i**4/24 + i**3/8 - 36*i**2. Solve u(y) = 0.
-1, 1, 3
Suppose -2*g + 2*w = 7*w - 7, 32 = 4*g + 4*w. Suppose 0 = 2*f - 3*f + g. Let 14*m**4 + f*m - 8*m**2 + 24*m**3 - 11*m = 0. What is m?
-2, 0, 2/7
Let a be (-8)/(-24) + 71/207. Let w = -2/207 + a. Find i, given that -2/3*i**3 + 2*i**2 + w - 2*i = 0.
1
Let m = -149/2 + 75. Let i(w) be the first derivative of -2/3*w**3 + 2/5*w**5 + m*w**4 + 0*w - w**2 - 5. Factor i(y).
2*y*(y - 1)*(y + 1)**2
Let d(z) be the third derivative of -7*z**5/60 - 5*z**4/24 + z**3/3 - 4*z**2. Factor d(x).
-(x + 1)*(7*x - 2)
Factor v - 7*v**2 + 2*v**3 + 1 - 4*v**3 + 1 + 3*v**2 + v**5 + 2*v**4.
(v - 1)**2*(v + 1)**2*(v + 2)
Suppose 0 = -4*b + 5*b - 4. Suppose 8 = b*p - 0*p. Solve 1/2*a**p - 1/6*a**3 - 2/3 + 0*a = 0.
-1, 2
Let i(p) = -p**3 - 5*p**2 + 6*p + 5. Let g be i(-6). Suppose -g*t + 7 + 3 = 0. Factor 2/7*l**3 + 0 + 4/7*l**t + 2/7*l.
2*l*(l + 1)**2/7
Solve 1/7*j**2 + 3/7*j - 10/7 = 0 for j.
-5, 2
Suppose -j + 3*j = 0. Suppose 4*s = -j*s + 20. Factor -3*g + s*g - g**2 + 0*g**4 - 4*g**3 + 3*g**4.
g*(g - 1)**2*(3*g + 2)
Suppose -9*o + 0*o = o. Let a(u) be the second derivative of 8/21*u**3 + 5/42*u**4 + 2*u + 1/70*u**5 + 4/7*u**2 + o. Let a(f) = 0. Calculate f.
-2, -1
Let w(i) be the second derivative of -2*i**7/21 - 2*i**6/15 + i**5/5 + i**4/3 - 4*i. Factor w(s).
-4*s**2*(s - 1)*(s + 1)**2
Factor 4*l**4 - 28*l**2 + 3*l**3 - 5*l**4 + 24*l**2 - 7*l**3.
-l**2*(l + 2)**2
Let g(y) be the second derivative of 3*y**6/10 - 39*y**5/20 + 19*y**4/4 - 11*y**3/2 + 3*y**2 + 19*y. Determine s so that g(s) = 0.
1/3, 1, 2
Let j(p) be the second derivative of -p**4/27 + 2*p**2/9 - 11*p. Factor j(q).
-4*(q - 1)*(q + 1)/9
Let j = 12 - 8. Suppose 16 + 0 = 2*b - 4*t, j*b = -t - 4. Factor b + 0*d + 1/3*d**2 - 1/3*d**4 + 1/3*d**5 - 1/3*d**3.
d**2*(d - 1)**2*(d + 1)/3
Let z be ((-3)/1)/(6/(-4)). Let h be z/(-8) - (-51)/12. Let 2/5*s**h + 0 + 4/5*s + 0*s**3 - 6/5*s**2 = 0. What is s?
-2, 0, 1
Determine c, given that -1/4*c**2 + 6*c - 36 = 0.
12
Let a(g) be the second derivative of g**5/30 + g**4/12 - g**2 + 2*g. Let s(x) be the first derivative of a(x). Factor s(r).
2*r*(r + 1)
Let i(j) be the second derivative of j**6/45 - 7*j**5/30 + j**4 - 20*j**3/9 + 8*j**2/3 + 11*j. Factor i(a).
2*(a - 2)**3*(a - 1)/3
Let j(y) be the second derivative of 2*y + 0*y**2 - 1/36*y**4 + 0*y**3 + 1/60*y**5 + 0. Solve j(s) = 0 for s.
0, 1
Let c(b) be the second derivative of b**6/120 - b**5/20 + b**4/8 - 2*b**3/3 - 2*b. Let v(f) be the second derivative of c(f). Suppose v(y) = 0. Calculate y.
1
Let w(z) = 5*z**5 - 5*z**4 - 5*z**3 + 8*z**2 - 3*z + 3. Let a(c) = -c**5 - c**4 + c**3 + c - 1. Let b(l) = 3*a(l) + w(l). Find d, given that b(d) = 0.
-1, 0, 1, 4
Let s(h) = -h**3 + 13*h**2 + 3*h - 5. Let r be s(13). Let p = 104/3 - r. Solve -p*c**2 - 2/9*c**4 - 2/3*c**3 + 0 - 2/9*c = 0 for c.
-1, 0
Suppose 78*g - 45 = 73*g. Factor g*d**2 + 9*d**3 + 3*d + 1/3.
(3*d + 1)**3/3
Let i be 2/9 + (-55)/45. Let n be ((-2 + i)/1)/(-9). Factor 0*h**3 + n*h**5 - 1/3*h + 2/3*h**2 - 2/3*h**4 + 0.
h*(h - 1)**3*(h + 1)/3
Let o be 37 + -43 + (9 - 1). Find k such that 4/9*k - 2/9 - 2/9*k**o = 0.
1
Let x(a) be the second derivative of a**8/2240 - a**7/840 - a**6/120 + 3*a**4/4 - 6*a. Let q(f) be the third derivative of x(f). Factor q(h).
3*h*(h - 2)*(h + 1)
Let k(q) be the second derivative of q**8/840 - q**7/210 + q**6/180 + q**3/3 - 5*q. Let w(g) be the second derivative of k(g). Factor w(o).
2*o**2*(o - 1)**2
Let k(t) = t**3 - t**2 - 3*t + 3. Let y be k(3). Find o, given that -3 - 12*o**2 - 2*o - y*o - o = 0.
-1, -1/4
Let s(k) be the first derivative of 1/4*k**4 + 1/3*k**3 + 2 + 0*k**2 + 0*k. Let s(h) = 0. What is h?
-1, 0
Suppose -5*r + 3*x - 12 = -x, -r + 3 = x. Let u(g) be the second derivative of 4*g - 1/60*g**5 + 1/18*g**4 - 1/18*g**3 + r*g**2 + 0. Solve u(v) = 0.
0, 1
Let c(f) = f**2 + f - 5. Let b be c(-5). Let j = 17 - b. Suppose 2/3 + n - 1/3*n**3 + 0*n**j = 0. What is n?
-1, 2
Find j, given that -2/13*j**3 + 2/13*j + 2/13*j**2 - 2/13 = 0.
-1, 1
Suppose -12*f + 12*f + 2*f = 0. Determine h, given that f - 10/11*h**2 - 4/11*h + 10/11*h**4 - 14/11*h**5 + 18/11*h**3 = 0.
-1, -2/7, 0, 1
Let x(w) = w**3 + w**2 + w. Let b(h) = 10*h**3 - 6*h**2 + 14*h. Let d(k) = -b(k) + 6*x(k). Find o, given that d(o) = 0.
0, 1, 2
Let t(q) be the third derivative of q**6/60 - 7*q**5/120 - q**4/24 + q**2. Factor t(m).
m*(m - 2)*(4*m + 1)/2
Let f(s) be the second derivative of 5*s**7/126 - 2*s**6/9 + 5*s**5/12 - 5*s**4/18 + 8*s. Determine m, given that f(m) = 0.
0, 1, 2
Let w be 1 - 5/50*5*2. Determine i so that 1/4*i**2 + w + 0*i = 0.
0
Let b(y) be the first derivative of -8*y - 1 + 16/3*y**3 - 10*y**2 + 12*y**4. Factor b(t).
4*(2*t + 1)**2*(3*t - 2)
Let i = -578 + 579. Let w = -6 - -10. Factor -2*y**3 - i - 1/2*y**5 - y**2 + 5/2*y + 2*y**w.
-(y - 2)*(y - 1)**3*(y + 1)/2
Let s = -10 + 58/5. Let u be ((-16)/20 - 3) + 5. Let 2/5 - u*w - s*w**2 = 0. What is w?
-1, 1/4
Let b(g) be the third derivative of -g**7/30 + 23*g**6/120 - g**5/3 + g**4/6 + 24*g**2. Factor b(u).
-u*(u - 2)*(u - 1)*(7*u - 2)
Suppose 2*w - 8 = -4. Factor -1/2*d**w + d - 1/2.
-(d - 1)**2/2
Let l(f) be the third derivative of -1/16*f**4 + 0*f**3 + 1/140*f**7 + 1/80*f**6 + 0*f - 5*f**2 + 0 - 1/40*f**5. Determine i, given that l(i) = 0.
-1, 0, 1
Let x(t) = -30*t**2 - 40*t - 15. Let k(b) = 29*b**2 + 39*b + 14. Let i(z) = 5*k(z) + 4*x(z). Factor i(n).
5*(n + 1)*(5*n + 2)
Let y(z) be the third derivative of -z**8/1176 + z**7/735 + z**6/140 - z**5/210 - z**4/42 - 29*z**2. Let y(l) = 0. Calculate l.
-1, 0, 1, 2
Let v = 8/5 - 6/5. Solve 0 + v*j - 2/5*j**2 = 0.
0, 1
Let z(o) be the first derivative of -4*o**3/3 - 8*o**2 - 16*o + 5. Let z(i) = 0. Calculate i.
-2
Let o = 0 - 5. Let f(g) = -5*g**3 - 5*g**2 - 12*g. Let y(h) = 6*h**3 + 5*h**2 + 13*h - 1. Let j(s) = o*f(s) - 4*y(s). Factor j(l).
(l + 1)*(l + 2)**2
Suppose 177*y**3 - 8*y**4 + 0*y**5 - 2*y**5 + 8*y - 183*y**3 + 8*y**2 = 0. What is y?
-2, -1, 0, 1
Let j(d) be the first derivative of -3*d**4/16 + d**3/2 - 