Let m = 28/15 + c. Factor -1/5*f**2 + 0*f + m.
-(f - 1)*(f + 1)/5
Let h(c) be the second derivative of -1/6*c**4 + 0*c**5 + 2/9*c**3 + 2*c + 0*c**2 + 1/45*c**6 + 0. Find a, given that h(a) = 0.
-2, 0, 1
Let y(h) be the second derivative of -h**4/42 + h**2/7 - 3*h. What is x in y(x) = 0?
-1, 1
Let q be 2*1 - 18/12. Let h(i) be the second derivative of i + q*i**2 - 1/3*i**3 + 1/12*i**4 + 0. Solve h(g) = 0.
1
Let w be ((-2)/5)/((-2)/50). Suppose -3*f + 7*f = n - 5, -3*f + 2*n = w. Factor 0 + f*v + 1/4*v**5 + 1/2*v**4 + 0*v**2 + 1/4*v**3.
v**3*(v + 1)**2/4
Let q(t) be the second derivative of -3*t**5/100 - t**4/4 - 3*t**3/10 + 27*t**2/10 + t. Factor q(m).
-3*(m - 1)*(m + 3)**2/5
Suppose 0 = -7*t + 6*t. Let k**3 - 3*k**2 + t*k**3 + 2*k**2 = 0. Calculate k.
0, 1
Find c, given that 5 - 18*c - 9*c - 29 + 0 - 3*c**2 = 0.
-8, -1
Let a(n) be the third derivative of 4*n**2 + 2*n**3 + 0 + 0*n + 1/2*n**4 - 3/20*n**5. Find d, given that a(d) = 0.
-2/3, 2
Let s(c) = -c**3 + 14*c**2 - 12*c - 8. Let q be s(13). Let -6 - 2*j**4 + 2*j**2 + 0*j**q + 6 - j + j**5 = 0. Calculate j.
-1, 0, 1
Let y(i) = 3*i**2 + 15*i + 12. Let j(l) = 3*l**2 + 15*l + 12. Let p be (-68)/(-14) + 8/56. Let b(a) = p*j(a) - 6*y(a). Factor b(f).
-3*(f + 1)*(f + 4)
Let q(m) = -10*m**4 - 10*m**3 + 10*m**2 + 55*m - 45. Let b(i) = i**4 + i**3 - i**2 - 5*i + 4. Let o(d) = -45*b(d) - 4*q(d). Let o(h) = 0. Calculate h.
-1, 0, 1
Let q(l) be the first derivative of -l**4/4 + l**2/2 - 19. Factor q(z).
-z*(z - 1)*(z + 1)
Let m(x) = -x**2 - 3*x + 6. Let c be m(-5). Let f be ((-6)/(-27))/(c/(-6)). Determine i, given that f*i**3 - 1/3*i - 1/3 + 1/3*i**2 = 0.
-1, 1
Let j(b) = 3*b**2. Let h be j(1). Let a be -2 - (h*2)/(-1). Factor 2*r**a + r**2 - 3*r**3 - 3 + 3.
r**2*(r - 1)*(2*r - 1)
Let m(t) = t**4 - t**3 + t**2 + t - 1. Let n(o) = 28*o**4 - 32*o**3 + 24*o**2 + 32*o - 28. Let u(r) = 24*m(r) - n(r). Factor u(i).
-4*(i - 1)**3*(i + 1)
Let d(o) be the second derivative of o**7/210 - o**6/40 + o**5/30 + o**2 - 6*o. Let u(k) be the first derivative of d(k). Factor u(i).
i**2*(i - 2)*(i - 1)
Let r(o) = 1. Let g(u) = -2*u**3 + u**2 + u - 6. Let p(l) = g(l) + 6*r(l). Let h be p(-1). Factor 4*f**3 + f**4 - 4*f**h + 7*f**2 + f - f**3.
f*(f + 1)**3
Let u = 1 - -3. Suppose u*i = 3*c - 21, 2 = -c - 3*i - 4. Let 2*v**5 + 3*v**c - 2*v**5 - 3*v**4 + v**5 + 0*v**4 - v**2 = 0. Calculate v.
0, 1
Let v = -143/9 - -16. Let p(w) be the second derivative of 1/18*w**4 - v*w**3 - 1/3*w**2 - 2*w + 1/30*w**5 + 0. Solve p(j) = 0 for j.
-1, 1
Let j(v) be the second derivative of -v + 2/13*v**4 + 0*v**2 - 1/273*v**7 + 0 - 4/39*v**3 - 1/10*v**5 + 2/65*v**6. Solve j(i) = 0.
0, 1, 2
Suppose -3*z + 85 = 2*z. Suppose -3*b + z*b**2 - 29*b**2 + 9*b**2 = 0. What is b?
-1, 0
Suppose 0 = -5*k - 4*t - 0*t + 14, 0 = -k + 2*t. Factor 3 + u + 4*u**3 - 3*u + 1 - 4*u**2 - k*u.
4*(u - 1)**2*(u + 1)
Let r be (-3)/(-5) - (-8)/20. Let n be (r + -2)*0/1. Let -2/5*l**2 + 0 + 0*l + n*l**3 + 2/5*l**4 = 0. What is l?
-1, 0, 1
Let y(w) be the first derivative of 0*w**3 - 3 - 1/18*w**4 + 2/45*w**5 + 0*w + 0*w**2. Factor y(d).
2*d**3*(d - 1)/9
Suppose 2 = 2*q - 8. Factor -n**2 - 2*n + 0*n**2 - 2*n**2 + q*n.
-3*n*(n - 1)
What is b in 1/2 + 5/4*b**3 - 2*b**2 + 1/4*b = 0?
-2/5, 1
Let b(j) be the second derivative of -2*j**5/5 - j**4 + 2*j**2 - 18*j. Factor b(w).
-4*(w + 1)**2*(2*w - 1)
Let g(r) be the first derivative of -r**4/24 + r**3/18 + r**2/6 + 14. Factor g(m).
-m*(m - 2)*(m + 1)/6
Suppose -6*l = -l - 10. Factor 1 - 2*i - 3*i**l - 2 - i**3 - i.
-(i + 1)**3
Let b(j) = 15*j**3 - j**2. Let f be b(1). Let a = f - 10. Factor 0*m**2 + 0*m - 2/3*m**a + 0*m**3 + 0.
-2*m**4/3
Let c(k) be the first derivative of -k**5/210 + k**4/21 - 4*k**3/21 - 3*k**2/2 + 2. Let u(x) be the second derivative of c(x). Suppose u(g) = 0. Calculate g.
2
Let v(f) be the third derivative of f**10/60480 + f**9/15120 - f**7/2520 - f**6/1440 - f**4/24 - f**2. Let n(p) be the second derivative of v(p). Factor n(w).
w*(w - 1)*(w + 1)**3/2
Let f be 0 - -8 - 2/2. Factor -6*a + f*a + 2*a**2 - a.
2*a**2
Let d(x) = x - 13. Let f be d(15). Factor -3/2*c**3 + 0 + 3/2*c**f + 0*c.
-3*c**2*(c - 1)/2
Let w(i) be the second derivative of -1/2*i**2 + 0*i**4 + 1/10*i**5 + 0 - 1/3*i**3 - i + 1/30*i**6. Factor w(j).
(j - 1)*(j + 1)**3
Let w(k) be the third derivative of -k**8/224 - k**7/140 + 11*k**2. Suppose w(x) = 0. What is x?
-1, 0
Let p(n) be the first derivative of -1/2*n**4 - n**2 + 0*n + 1 - 4/3*n**3. Determine x so that p(x) = 0.
-1, 0
Suppose 7*j = 31 - 17. Factor -2/5*c**3 + 4/5*c**4 + 0 - 2/5*c**5 + 0*c + 0*c**j.
-2*c**3*(c - 1)**2/5
Let j(g) be the second derivative of 3*g**6/5 - 7*g**5/10 - 47*g**4/6 - 37*g**3/3 - 6*g**2 - 33*g + 1. Solve j(v) = 0 for v.
-1, -2/9, 3
Suppose 2*y - 3*y - 3*y - 4*y**5 + 5*y**3 + 3*y**3 = 0. What is y?
-1, 0, 1
Factor n**5 + 0*n**4 - 3*n**4 - 6*n**3 + 6*n**2 - 3 + 2*n + 2*n**5 + n.
3*(n - 1)**3*(n + 1)**2
Let p be (-48)/4*(-12)/8. Solve 4*z**4 + p*z**3 + z + 15*z - 30*z**3 = 0.
-1, 0, 2
Let b(n) = 3*n**2 - 15*n + 9. Let k(g) = g. Let c(l) = -b(l) - 3*k(l). Solve c(m) = 0 for m.
1, 3
Let x(q) be the first derivative of 21*q**4/20 - 16*q**3/5 - 51*q**2/10 + 18*q/5 - 9. Factor x(c).
3*(c - 3)*(c + 1)*(7*c - 2)/5
Let j(p) be the first derivative of 0*p**3 + 1/84*p**4 - 1 + 0*p + 1/210*p**5 - p**2. Let i(d) be the second derivative of j(d). Factor i(t).
2*t*(t + 1)/7
Let o = 8 + -11. Let x be (2/o)/((-3)/9). What is j in 0*j**4 - 2*j**2 - 6*j**3 + 0*j**2 + x*j**3 - 2*j**4 = 0?
-1, 0
Let r be (-17 + 901/51)/((-10)/(-6)). Factor -12/5*p + 18/5 + r*p**2.
2*(p - 3)**2/5
Determine s, given that -18/7*s - 2/7*s**3 + 0 - 12/7*s**2 = 0.
-3, 0
Let f(a) = 2*a - 4. Let m be f(3). Let -19*g**3 - 50*g**5 - 58*g**3 - 16*g**m - 11*g**3 - 140*g**4 = 0. What is g?
-2, -2/5, 0
Let w(x) be the first derivative of 2*x**4/7 + 2*x**3/3 + 2*x**2/7 - 2*x/7 - 12. Determine f so that w(f) = 0.
-1, 1/4
Suppose -3 = 3*g - 9. Suppose -7 + 17 = g*p. Find s, given that -p*s + s + 2*s**3 + 2*s = 0.
-1, 0, 1
Let h(q) be the third derivative of -q**7/3780 - q**6/1620 + q**5/270 - q**3/3 + 2*q**2. Let j(w) be the first derivative of h(w). Find z, given that j(z) = 0.
-2, 0, 1
Let z = -101 + 105. Let x(d) be the second derivative of 0*d**3 + 1/10*d**5 + 0*d**4 - 1/15*d**6 + 0*d**2 + z*d + 0. Find n, given that x(n) = 0.
0, 1
Let q(f) be the first derivative of -27/16*f**4 - 3/2*f**3 - 3/5*f**5 + 0*f - 3 - 3/8*f**2. Find b, given that q(b) = 0.
-1, -1/4, 0
Suppose 4*q + 22 = 4*f + f, 3*f + 4*q = -6. Let r = 18 + -35/2. Find m, given that -1/2*m + r*m**f + 1/2*m**3 - 1/2*m**4 + 0 = 0.
-1, 0, 1
Let s(g) = -g**2 - g + 1. Let v(w) = -10*w**2 - 18*w - 2. Let h(m) = 6*s(m) - v(m). Factor h(n).
4*(n + 1)*(n + 2)
Let j be 7/3 - (-1)/(-3). Let n = j - -1. Factor 2*y**3 - n*y**2 - y**4 - y**3 - y + 4*y**2.
-y*(y - 1)**2*(y + 1)
Let z(g) = -g**3 - 11*g**2 + 11*g - 9. Let f be z(-12). Determine v so that 3/7*v**5 + 12/7*v**4 + 18/7*v**f + 3/7*v + 12/7*v**2 + 0 = 0.
-1, 0
Let d be (1/4)/(685/160 + -4). Factor -2/9 - 2/3*p**2 + d*p.
-2*(p - 1)*(3*p - 1)/9
Suppose v + 4*b = 10, 2*b = 3*v - 2*b + 2. Let n(j) be the first derivative of 1 - 1/16*j**4 + 5/12*j**3 + j - j**v. Factor n(c).
-(c - 2)**2*(c - 1)/4
Let n = 2/13 - -9/26. Let p(g) be the first derivative of n*g**4 - g**2 - 10/27*g**3 + 14/45*g**5 - 2 - 4/9*g. Suppose p(d) = 0. What is d?
-1, -2/7, 1
Let s = 5 + 8. Let u = s - 9. Let -d**u - d**4 - 4*d**5 + 2*d**5 = 0. Calculate d.
-1, 0
Suppose 3*m - 2*m = 3*a, -3*m = -2*a. Let x be (-12)/10*10/(-4). Factor 1/2*g**x + 0 - 1/4*g**5 + 0*g**4 - 1/4*g + m*g**2.
-g*(g - 1)**2*(g + 1)**2/4
Let x = -1/336 - -113/336. Solve x*b + 1/3*b**2 - 2/3 = 0.
-2, 1
Let s(k) = 354*k**4 - 54*k**3 - 219*k**2 - 60*k. Let w(t) = -71*t**4 + 11*t**3 + 44*t**2 + 12*t. Let m(g) = 4*s(g) + 21*w(g). Solve m(b) = 0 for b.
-2/5, 0, 1
Let g be 7/(-2)*(-16)/28. Factor 6*a + a - 3*a + 2*a**g.
2*a*(a + 2)
Suppose -14*n = -0*n - 28. Let v(w) be the first derivative of 1/4*w**4 - w**3 + w**n + 0*w - 1. Factor v(f).
f*(f - 2)*(f - 1)
Let c(b) be the second derivative of 0*b**2 + 1/126*b**7 - 3*b - 1/60*b**5 + 1/18*b**4 - 1/45*b**6 + 0 + 0*b**3. Factor c(s).
s**2*(s - 2)*(s - 1)*(s + 1)/3
Let x(d) be the first derivative of -32*d**5/45 - 4*d**4/9 + 14