 a*v**4 + 8*v**4.
-v*(v - 1)**2*(v + 1)*(v + 2)
Let f(y) be the second derivative of 1/24*y**3 + 1/48*y**4 - 1/8*y**2 - 1/80*y**5 + 0 - 3*y. Find m, given that f(m) = 0.
-1, 1
Let s(j) be the third derivative of -j**5/30 + 2*j**3/3 + j**2. Let c(h) = -2*h - 10. Let u be c(-6). Let i(b) = b. Let o(g) = u*i(g) - s(g). Factor o(l).
2*(l - 1)*(l + 2)
Let i(d) = 20*d**3 + 11*d**2 - 27*d - 29. Let r(a) = -7*a**3 - 4*a**2 + 9*a + 10. Let c(x) = -4*i(x) - 11*r(x). Suppose c(l) = 0. Calculate l.
-1, 2
Let b(z) = z - 7. Let h be b(10). Suppose 0 + 0*l - 1/3*l**h + 0*l**2 + 7/6*l**5 - 5/6*l**4 = 0. Calculate l.
-2/7, 0, 1
Let q(l) = -l**3 + 2*l**2 - 2*l + 4. Let k be q(2). Find j, given that -7/2*j**4 - j + 6*j**3 + k - 3/2*j**2 = 0.
-2/7, 0, 1
Let b(w) be the second derivative of 1/12*w**4 - 1/20*w**5 - 1/2*w**2 - 5*w + 0 + 1/6*w**3. Factor b(x).
-(x - 1)**2*(x + 1)
Let r be 0/(2/5 - (-84)/(-60)). Determine p so that 1/2*p**3 + p**2 + 1/2*p + r = 0.
-1, 0
Let i(y) be the second derivative of 2*y**5/17 - 13*y**4/102 + 2*y**3/51 + 6*y. Suppose i(b) = 0. What is b?
0, 1/4, 2/5
Let s = -36/11 + 703/198. Let j(h) be the first derivative of 8/9*h**3 + h**2 + 4/9*h + 4 + s*h**4. Factor j(u).
2*(u + 1)**2*(5*u + 2)/9
Let n be (-12)/(-42)*7/1. Factor 2*f**3 + 0*f**4 + f**4 + 2*f**4 - 3*f - 3*f**n + f**3.
3*f*(f - 1)*(f + 1)**2
Let q(s) = 6*s**2 - 4*s - 7. Let u(w) = -1. Suppose -5 = -2*n + 3, -2*n + 4 = -4*g. Let b = -8 - -3. Let i(p) = b*u(p) + g*q(p). Solve i(m) = 0 for m.
-1/3, 1
Factor 12/11*f**4 + 28/11*f**3 + 4/11 + 2/11*f**5 + 32/11*f**2 + 18/11*f.
2*(f + 1)**4*(f + 2)/11
Factor 0*k**2 + 4/5*k**4 + 2/5*k**3 + 0 + 0*k + 2/5*k**5.
2*k**3*(k + 1)**2/5
Let m be 4/12*6 - 2. Let n(w) be the first derivative of 0*w - 1/3*w**3 - 2 + m*w**2. Factor n(g).
-g**2
Let g(d) be the third derivative of -d**6/30 - d**5/3 - 7*d**4/6 - 2*d**3 + 24*d**2. Factor g(p).
-4*(p + 1)**2*(p + 3)
Factor -16 + 4 + 11*j + 5*j - 4*j**2.
-4*(j - 3)*(j - 1)
Suppose -3 = -i - 1. Let u be (-2)/(-3) + i/(-3). Factor 3*j - 4*j + u*j + j**3 + 0*j**3.
j*(j - 1)*(j + 1)
Let n(q) be the second derivative of q**6/45 + q**5/10 + q**4/18 - q**3/3 - 2*q**2/3 + 7*q. Factor n(t).
2*(t - 1)*(t + 1)**2*(t + 2)/3
Let u(m) be the first derivative of -2/5*m**5 + 0*m**3 + 1 - m**4 + 2*m**2 + 2*m. Solve u(g) = 0 for g.
-1, 1
Solve s + s**2 + 5*s + s**2 = 0.
-3, 0
Let m(l) = l**2 - 2*l + 2. Let z be m(0). Find y, given that 0 + 0*y + y**3 - 1/2*y**4 - 1/2*y**z = 0.
0, 1
Let v(w) be the second derivative of -w**7/42 + w**6/15 - w**5/20 - 9*w. Suppose v(b) = 0. What is b?
0, 1
Factor 1/2 + 1/2*c - 1/2*c**3 - 1/2*c**2.
-(c - 1)*(c + 1)**2/2
Let h(z) be the first derivative of z**4 + 8*z**3 + 16*z**2 - 24. Factor h(y).
4*y*(y + 2)*(y + 4)
Let w(r) be the second derivative of r**6/30 + 3*r**5/10 + 13*r**4/12 + 2*r**3 + 2*r**2 + 3*r. Factor w(x).
(x + 1)**2*(x + 2)**2
Let g(r) be the second derivative of r**4/66 - 4*r**3/33 + 19*r. Let g(t) = 0. Calculate t.
0, 4
Let m(u) be the first derivative of 45*u**6/2 + 42*u**5 - 185*u**4/4 - 140*u**3/3 - 10*u**2 - 10. Solve m(w) = 0 for w.
-2, -1/3, -2/9, 0, 1
Let u(o) be the first derivative of -o**6/45 + 4*o**5/75 + 44. Determine x, given that u(x) = 0.
0, 2
Let l(h) be the first derivative of 2*h**5 - 6*h**4 + 6*h**3 - 2*h**2 - 6. Suppose l(m) = 0. What is m?
0, 2/5, 1
Factor 3*l**2 - 2 - 7*l - 4 + 10*l.
3*(l - 1)*(l + 2)
Let j(v) = -6*v**4 - 7*v**3 + 5*v**2 + v - 2. Let r(y) = 6*y**4 + 8*y**3 - 4*y**2 + 2. Let d = 3 + -6. Let l(i) = d*r(i) - 4*j(i). What is h in l(h) = 0?
-1, 1/3, 1
Suppose -g + 20 = -3*g. Let r be g/4*(-28)/35. Determine o, given that 4/5 + 6/5*o + 2/5*o**r = 0.
-2, -1
Let a be 4 + ((-155)/60 - (-3)/(-4)). Let m(r) be the second derivative of -2*r - a*r**2 + 0 - 5/9*r**3 - 1/6*r**4. Factor m(x).
-2*(x + 1)*(3*x + 2)/3
Let l = -524/21 + 25. Let m(u) be the second derivative of 1/7*u**2 + 0*u**3 + 0*u**5 + 0 + 1/105*u**6 - 3*u - l*u**4. Factor m(r).
2*(r - 1)**2*(r + 1)**2/7
Let z(m) be the first derivative of 2*m**3/21 - 2*m**2/7 + 2*m/7 + 16. What is a in z(a) = 0?
1
Let n = 1/23 - -87/115. Let m(y) be the first derivative of 0*y - 1 - n*y**5 + 0*y**4 + 1/3*y**6 + 4/3*y**3 - y**2. Factor m(o).
2*o*(o - 1)**3*(o + 1)
Let a(o) be the second derivative of 1/3*o**4 + 0*o**3 + 10*o + 0*o**2 + 0 + 1/10*o**5. Factor a(u).
2*u**2*(u + 2)
Factor 15*c**3 - 4*c**2 + 5*c**2 + 5*c**4 - 2*c**2 + 11*c**2.
5*c**2*(c + 1)*(c + 2)
Let c(m) be the third derivative of m**9/7560 + m**8/1680 - m**6/180 - m**5/60 - 5*m**4/24 + 4*m**2. Let v(n) be the second derivative of c(n). Factor v(a).
2*(a - 1)*(a + 1)**3
Suppose -q = -0*j + 2*j - 10, -5*j + 11 = -q. Solve 2*m**j - 3*m - 6*m**4 - 5*m**3 + 6*m**2 + 3*m**5 + 3*m = 0 for m.
-1, 0, 1, 2
Let j(l) = l + 1. Let v(m) = 5*m + 2. Let b(u) = -6*j(u) + v(u). Let h be b(-8). Factor 0 + 0*y + 1/3*y**h + 1/3*y**2 - 2/3*y**3.
y**2*(y - 1)**2/3
Let g(l) be the first derivative of l**7/840 + l**6/480 - l**5/80 - 5*l**4/96 - l**3/12 - 7*l**2/2 + 3. Let q(i) be the second derivative of g(i). Factor q(k).
(k - 2)*(k + 1)**3/4
Let o = -791/9 - -88. Let y(q) be the first derivative of -3*q - o*q**3 - q**2 - 1. Solve y(t) = 0 for t.
-3
Let u(m) = m**3 + 3*m**2 - 3*m - 7. Let l be -2 - 2/(8/4). Let q be u(l). Factor -o**3 - 1/2*o**4 + o**q + 1/2*o + 1/2*o**5 - 1/2.
(o - 1)**3*(o + 1)**2/2
Let q(u) be the third derivative of 0*u**6 - 1/30*u**5 + u**2 + 0 + 0*u + 1/210*u**7 + 0*u**4 + 1/6*u**3. Factor q(n).
(n - 1)**2*(n + 1)**2
Let i(l) = -l + 8. Let t be i(6). Let q(d) = -d + 1. Let a be q(1). Find v such that 0 + a*v - 1/4*v**t = 0.
0
Let p be -1*1/3 - (-975)/225. Let b be (3/2)/(1/2). Factor 0 + 2/3*t + 2/3*t**2 - 2/3*t**p - 2/3*t**b.
-2*t*(t - 1)*(t + 1)**2/3
Let f be 12/10 + 0 + -1. Suppose -2*q - n + 4 = 0, 19*q - 20 = 18*q - 5*n. Factor 0 + f*h**2 + q*h.
h**2/5
Let t(g) be the third derivative of -1/735*g**7 - 1/140*g**6 - 2*g**2 + 0*g - 1/84*g**4 + 0*g**3 - 1/70*g**5 + 0. Determine z, given that t(z) = 0.
-1, 0
Suppose -2*y + 4*y = 12. Factor 20 + y + 15*f**3 + 84*f - 2 + 66*f**2.
3*(f + 2)**2*(5*f + 2)
Find k such that -4*k**5 - 2*k**5 + 15910*k**2 + 12*k**3 - 15919*k**2 - 6*k + 9*k**4 = 0.
-1, -1/2, 0, 1, 2
Suppose -3*x - 2 = 4*d - 34, -4*x + 16 = 0. Factor 6*r**2 + 32*r**3 + 28*r**4 - 8*r + 0*r**2 - 4 + 3*r**2 + 8*r**d - r**2.
4*(r + 1)**4*(2*r - 1)
Determine h, given that 0 - 13 - 3*h**2 + 30*h - 14 = 0.
1, 9
Let n(x) be the third derivative of x**8/8400 + x**7/2100 + x**6/1800 - x**3/3 - 3*x**2. Let k(v) be the first derivative of n(v). Let k(s) = 0. What is s?
-1, 0
Let x(q) = -4*q**2 - q. Let u(w) = -w + 0 + 3 - 3 - 6*w**2. Let a(g) = 5*u(g) - 7*x(g). What is i in a(i) = 0?
0, 1
Find m, given that 2/7*m + 0 + 0*m**4 + 0*m**2 - 4/7*m**3 + 2/7*m**5 = 0.
-1, 0, 1
Let q(d) = -4*d**5 + d**4 - 7*d**3 + d**2 + 8*d + 1. Let x(j) = 7*j**5 - 3*j**4 + 13*j**3 - j**2 - 15*j - 1. Let c(h) = 5*q(h) + 3*x(h). Factor c(b).
(b - 2)*(b - 1)**3*(b + 1)
Let g be 4/6 + (-55)/(-30). Let j(b) be the first derivative of -2 + g*b**4 + 4*b - 6*b**3 - 5*b**2 + 14/5*b**5. Suppose j(v) = 0. What is v?
-1, 2/7, 1
Suppose 3*x = 7 + 8. Factor 1/2*u**3 - 1/2*u**2 + 0 + 0*u + 1/2*u**4 - 1/2*u**x.
-u**2*(u - 1)**2*(u + 1)/2
Let u(o) be the third derivative of -1/10*o**6 + 0*o**3 + 1/28*o**7 + 0*o + 1/8*o**4 + 0 - 2*o**2 + 1/40*o**5. Factor u(r).
3*r*(r - 1)**2*(5*r + 2)/2
Let x(q) = q**2 + 1. Let k = -1 + 0. Let r be 9/4 - (-2)/(-8). Let z(o) = 2*o**3 + 6*o**2 + 2*o + 2. Let w(p) = k*z(p) + r*x(p). Factor w(s).
-2*s*(s + 1)**2
Let y = 1158011/20286 - 2687/46. Let m = 2/441 - y. Let -2*w - m - 2/3*w**2 = 0. Calculate w.
-2, -1
Let t(v) = -69*v**2 + 27*v + 33. Let c(h) = 17*h**2 - 7*h - 8. Let n be ((-14)/7)/(1 + 0). Let l(m) = n*t(m) - 9*c(m). Suppose l(a) = 0. Calculate a.
-2/5, 1
Suppose -r - 2*a + 10 = 0, -23 = 3*r + 3*a - 41. Factor 0 - 1/4*w**r + 0*w - 1/4*w**5 + 1/4*w**4 + 1/4*w**3.
-w**2*(w - 1)**2*(w + 1)/4
Let a = -101 + 139. Suppose a*n**2 - 8/3 + 28/3*n - 455/3*n**3 + 196/3*n**4 = 0. Calculate n.
-1/4, 2/7, 2
Factor -2/3*q + 1/3*q**2 + 1/3.
(q - 1)**2/3
Let l(c) be the second derivative of -c**4/8 + 3*c**2/4 - 16*c. Find u such that l(u) = 0.
-1, 1
Let i(b) be the second derivative of -b**6/105 - b**5/70 + b**4/21 - 31*b. Find q, given that i(q) = 0.