 -1/4*p**4 - 2*p**2 + 7/6*p**3 + 0 - p. Let h(v) = -2*v**2 + 5*v - 3. Let x(a) = 7*h(a) - 5*j(a). Let x(b) = 0. Calculate b.
-1, 1
Let y be (-1)/(2/(-8) + 0). Factor 3 - 4*t - t**3 - 1 + t + y*t**2 - 2*t.
-(t - 2)*(t - 1)**2
Let q(r) be the second derivative of r**7/126 - 2*r**6/45 + r**5/10 - r**4/9 + r**3/18 + 8*r. Suppose q(v) = 0. What is v?
0, 1
Suppose -192/5 + 144/5*q - 36/5*q**2 + 3/5*q**3 = 0. What is q?
4
Let c(l) = -l**5 - l**3 - l + 1. Let z(v) = 3*v**5 + 4*v**4 + 5*v**3 + 5*v - 5. Let b(g) = -5*c(g) - z(g). Find n, given that b(n) = 0.
0, 2
Let r be (-15)/(-8)*(2 + 10/(-15)). Factor -1/6*s**5 - 15*s**3 + 81/2 + 45*s**2 - 135/2*s + r*s**4.
-(s - 3)**5/6
Suppose -25/6*m**2 - 5/6*m**4 - 25/6*m + 25/6*m**3 + 5 = 0. Calculate m.
-1, 1, 2, 3
Let p(b) be the first derivative of -b**4/4 + 3*b**3/7 - b**2/7 - 4. Factor p(c).
-c*(c - 1)*(7*c - 2)/7
Let -q**2 - 1363*q + 1369*q - 8 + 0*q**2 = 0. What is q?
2, 4
Let c(s) be the second derivative of -s**7/105 - 2*s**6/75 + 19*s. Suppose c(a) = 0. What is a?
-2, 0
Let l(y) be the second derivative of 0 + 1/100*y**5 + 3*y + 1/150*y**6 + 0*y**2 - 1/60*y**4 - 1/30*y**3. Factor l(f).
f*(f - 1)*(f + 1)**2/5
Let z(g) be the third derivative of g**6/720 + g**5/40 + 3*g**4/16 - 2*g**3/3 - 4*g**2. Let b(l) be the first derivative of z(l). Factor b(q).
(q + 3)**2/2
Suppose -3*y - 2*x = -9, 2*x + 2*x - 7 = 5*y. Suppose y = 3*g - 5. Factor 2/9*m**3 + 0 + 0*m + 0*m**g.
2*m**3/9
Let o(s) = -s**2 + 4*s - 2. Let f be o(2). Let y(i) be the first derivative of 0*i - 1/18*i**4 + 1/27*i**6 + 2/45*i**5 - 2/27*i**3 + 0*i**f + 4. Factor y(c).
2*c**2*(c - 1)*(c + 1)**2/9
Let d(b) = 30*b**4 + 6*b**3 - 12*b**2 + 6*b + 3. Let t(v) = 29*v**4 + 7*v**3 - 13*v**2 + 5*v + 2. Let s(y) = -2*d(y) + 3*t(y). Factor s(x).
3*x*(x + 1)*(3*x - 1)**2
Let z(n) be the third derivative of 13/70*n**7 + 0*n - 67/120*n**6 - 3/112*n**8 - n**4 - 4*n**2 + 2/3*n**3 + 0 + 19/20*n**5. Factor z(s).
-(s - 1)**3*(3*s - 2)**2
Let z(o) be the second derivative of -o**7/147 - o**6/105 + o**5/70 + o**4/42 - 5*o. Factor z(p).
-2*p**2*(p - 1)*(p + 1)**2/7
Let u be 6/4 - 9/6. Let n(d) be the second derivative of 0*d**2 - d + 1/12*d**4 + 0 + 1/5*d**5 + 17/120*d**6 + 5/168*d**7 + u*d**3. Suppose n(k) = 0. What is k?
-2, -1, -2/5, 0
Let a(k) be the second derivative of -1/18*k**3 + 0 + 1/36*k**4 + k + 0*k**2. Factor a(l).
l*(l - 1)/3
Factor -4*p**4 + 0*p**4 - 12*p**3 - 3*p**2 - p**2 + 12*p + 8.
-4*(p - 1)*(p + 1)**2*(p + 2)
Let l(c) be the second derivative of -c**6/30 + 2*c**5/5 - c**4/2 - 20*c**3/3 - 25*c**2/2 + 9*c. Factor l(i).
-(i - 5)**2*(i + 1)**2
Let q(j) be the second derivative of 0*j**3 - 1/30*j**4 + 0*j**2 + j + 1/50*j**5 + 0. Factor q(o).
2*o**2*(o - 1)/5
Let u(c) be the third derivative of -c**5/330 - c**4/44 - 2*c**3/33 - 7*c**2. Determine f, given that u(f) = 0.
-2, -1
Factor 3/2*y**2 + 3/2*y + 0 - 3/2*y**3 - 3/2*y**4.
-3*y*(y - 1)*(y + 1)**2/2
Determine d so that 14/11*d**3 + 0*d - 4/11*d**2 + 10/11*d**4 + 0 - 8/11*d**5 = 0.
-1, 0, 1/4, 2
Let i(p) be the third derivative of 0 + p**2 + 1/210*p**5 - 1/84*p**4 + 0*p**3 + 0*p. Factor i(u).
2*u*(u - 1)/7
Let d(t) = 4*t**3 - 4*t**2 + 5*t + 5. Let s(m) = 5*m**3 - 4*m**2 + 5*m + 6. Let x(p) = 6*d(p) - 5*s(p). What is n in x(n) = 0?
-5, 0, 1
Suppose 3*r + 4*n = 61 + 25, r + 3*n - 32 = 0. Let d = r + -26. Let -3/4*y**2 + 0*y**3 + d + 1/2*y + 1/4*y**4 = 0. What is y?
-2, 0, 1
Let m(z) be the first derivative of z**2/2 - 6*z + 13. Let p be m(9). What is j in -1/2*j**p - 1/2*j + 0 - j**2 = 0?
-1, 0
Suppose 21*m - 34*m + 26 = 0. Factor 0*c + 0 - 3/4*c**3 - 1/4*c**m - 3/4*c**4 - 1/4*c**5.
-c**2*(c + 1)**3/4
Suppose 0 = -2*m - m + 9. Let c be (m + -3)/(2/(-2)). Factor 0*f + c*f - 2*f**3 + 2*f.
-2*f*(f - 1)*(f + 1)
Let l(x) be the second derivative of -1/5*x**5 + 0 + 0*x**2 + 8/9*x**3 - 2*x - 2/9*x**4 + 1/9*x**6 - 1/63*x**7. Solve l(h) = 0 for h.
-1, 0, 2
Suppose 9*y - 4*y + m = 19, -m = -4*y + 17. Suppose -19 = -3*r - 2*w, -y = 4*r + 5*w - 41. Factor -2*h**3 - r*h**2 - 2*h**2 + 6*h**2 + 0*h**3 + h**4.
h**2*(h - 1)**2
Determine i, given that 8/3*i - 1/3*i**3 + 5/3*i**2 - 16 = 0.
-3, 4
Let y be (-3 + 1)*1 - 14. Let q = y + 18. Determine u, given that 0 + 8/3*u**3 - 2/3*u**4 + 0*u - 8/3*u**q = 0.
0, 2
Suppose 3*y - 16 = 2*o, y - 7 = o - 0. Determine q so that -q**2 - y*q**2 + 0*q**4 + 3*q**4 + 0*q**2 = 0.
-1, 0, 1
Let d(j) be the second derivative of j**6/75 - j**5/25 + j**4/30 - 4*j. Factor d(v).
2*v**2*(v - 1)**2/5
Let k(v) = v**3 - 7*v**2 + 5*v - 3. Let l be k(7). Factor 29 + 4*p**2 + l*p + 20 + 15.
4*(p + 4)**2
Let v(y) be the second derivative of -y**10/15120 - y**9/2520 + y**4/4 - 6*y. Let i(j) be the third derivative of v(j). Factor i(d).
-2*d**4*(d + 3)
Suppose 2*y = -3*q - 2, -2*q - 3*y = -2*y + 1. Let z = -6 + 8. What is n in 1/3*n**3 + q + 0*n + 1/3*n**z = 0?
-1, 0
Suppose 7*h - 25 + 4 = 0. Let d(y) be the second derivative of 0 + 1/2*y**4 - 2*y**2 + 3*y + 1/3*y**h. Factor d(t).
2*(t + 1)*(3*t - 2)
Let z(p) be the third derivative of p**8/294 + 32*p**7/735 + 61*p**6/420 - 5*p**5/42 - 2*p**4/3 - 16*p**3/21 + 31*p**2 + 1. What is k in z(k) = 0?
-4, -1/2, 1
Solve 15*d**5 + 20*d - 2*d**2 - 35*d**3 - 7*d**2 + 20*d**4 - 6*d**2 - 5*d**2 = 0.
-2, -1, 0, 2/3, 1
Let v(a) = -a**4 - 1. Let m(o) = -16*o**4 - 2*o**3 - 4*o**2 - 18. Let d(f) = -2*m(f) + 36*v(f). Suppose d(t) = 0. What is t?
-1, 0, 2
Let c(t) be the first derivative of -t**3/9 - t**2/3 + t + 6. Let c(s) = 0. What is s?
-3, 1
Factor 2*g + 0*g - 6*g**2 - 2*g + 8 + 2*g**3.
2*(g - 2)**2*(g + 1)
Let i be 1*0/(1 - 0). Suppose l + c = i, 0*c = c. Factor l*s + 0*s**3 + 2/9*s**2 - 2/9*s**4 + 0.
-2*s**2*(s - 1)*(s + 1)/9
Suppose -4*z - 3 + 19 = 0. Suppose -n + u = z*u + 3, n + 4*u = -5. Factor 0*j**2 - 2/3*j**4 + 4/3*j + 2/3 - 4/3*j**n.
-2*(j - 1)*(j + 1)**3/3
Suppose 2*s + 4 = 4*s. Factor b**2 - b - 2*b**2 - b**s + 3*b**2.
b*(b - 1)
Let h(b) = -2*b + 2. Let c(v) = v + 1. Let s be c(-1). Let t be h(s). Factor 2/3 - 4/3*k + 2/3*k**t.
2*(k - 1)**2/3
Let b(n) = -2*n**3 + 4*n**2 + 2*n + 6. Let h(u) = -1. Let m(t) = -b(t) - 10*h(t). Factor m(d).
2*(d - 2)*(d - 1)*(d + 1)
Let y(q) be the first derivative of 5/12*q**3 + 5/8*q**2 - 5/16*q**4 - 6 - 3/10*q**5 + 1/4*q. Suppose y(o) = 0. Calculate o.
-1, -1/2, -1/3, 1
Factor 2/7*x**3 + 0 + 32/7*x - 16/7*x**2.
2*x*(x - 4)**2/7
Determine q so that -2/9*q**2 + 0 - 4/9*q + 2/9*q**4 + 4/9*q**3 = 0.
-2, -1, 0, 1
Let b be 6/(-57) - 3204/(-1197). Determine q, given that 6/7*q + 10/7*q**2 + 2/7*q**3 - b = 0.
-3, 1
Let f(o) be the third derivative of o**8/504 + 4*o**7/315 + o**6/45 + 4*o**2. Solve f(c) = 0.
-2, 0
Suppose z + 3*z + 32 = 0. Let a be (-2)/z*(3 - 2). Factor 0*i - a*i**5 + 0 + 1/4*i**4 + 0*i**3 + 0*i**2.
-i**4*(i - 1)/4
Suppose 1 = f - 1. Let s be (-34)/(-66) - (-14)/(-77). Factor 0 - s*r**3 + 0*r - 1/3*r**f.
-r**2*(r + 1)/3
Let p(j) be the first derivative of -2*j**3/21 - 4*j**2/7 + 10*j/7 + 16. Solve p(x) = 0.
-5, 1
Let g(c) be the first derivative of 3*c**4/8 + c**3 + 6. Factor g(s).
3*s**2*(s + 2)/2
Let g(m) be the third derivative of m**5/12 + m**4/24 - 11*m**2. Find y, given that g(y) = 0.
-1/5, 0
Let d(j) be the second derivative of -1/6*j**4 + 1/3*j**3 + 5*j + 0 + 0*j**2. Find x such that d(x) = 0.
0, 1
Let v(f) be the third derivative of -f**5/20 + f**4/8 + f**3 - 2*f**2 + 46*f. Determine d, given that v(d) = 0.
-1, 2
Suppose -3*f - 3 = -12. Let r(q) be the second derivative of -q**2 - 5/3*q**3 - 2/3*q**4 - f*q + 0. Factor r(h).
-2*(h + 1)*(4*h + 1)
Let q(b) = b + 14. Let n be q(-10). Factor n*g + 3 + 5*g**2 - 1 - 3*g**2.
2*(g + 1)**2
Let i = 121/1344 - -1/192. Let u(h) be the second derivative of -1/42*h**4 - i*h**3 - 2*h - 1/7*h**2 + 0. Find j, given that u(j) = 0.
-1
Suppose -1 = t + 3, 3*u = -4*t + 47. Suppose 3*h - h + 5*b = u, -h - b = -6. Factor 0*f**h + 3*f - 6*f**2 + 3*f - 2 + 2*f**3.
2*(f - 1)**3
Let q(r) be the second derivative of -3*r**4/4 - 10*r**3/3 - 2*r**2 + 15*r. Suppose q(y) = 0. Calculate y.
-2, -2/9
Let s(v) be the first derivative of 1 + 0*v**2 + 0*v + 1/9*v**4 - 2/27*v**3. Factor s(o).
2*o**2*(2*o - 1)/9
Let q(l) be the third derivative of l**5/20 - 3*l**4/8 - 2*l**2. Determine m so that q(m) = 0.
0, 3
Suppose 2*g = -5*t + 19, 11*g - 5 = 7*g + t. Factor 0 - 3*u**g + 0*u - 9/4*u**4 + 6*