(y).
3*(y + 1)*(y + 2)*(4*y - 1)
Let -2/5*d**3 - 2/5*d**2 + 2/5*d + 2/5*d**4 + 0 = 0. Calculate d.
-1, 0, 1
Let h(y) be the second derivative of y**6/300 - 3*y**5/200 - y**4/120 + y**3/20 + 4*y. Factor h(a).
a*(a - 3)*(a - 1)*(a + 1)/10
Let s(i) = 22*i**2 + 14*i - 4. Let v(t) = -45*t**2 - 28*t + 8. Let b = 9 - 0. Let x(w) = b*s(w) + 4*v(w). Find a, given that x(a) = 0.
-1, 2/9
Let l(w) be the first derivative of w**6/9 + 10. Suppose l(z) = 0. What is z?
0
Let c(o) be the second derivative of 0*o**2 + 0 + 3*o + 1/24*o**4 + 1/6*o**3. Solve c(z) = 0.
-2, 0
Let x be 1 + -3 + 145/20. Find y, given that -3/4*y**3 + 3 + 3/4*y**5 + 9/4*y**4 + 0*y - x*y**2 = 0.
-2, -1, 1
Suppose 10*b - 7*b = 6. Solve 2*h**b + 10/3*h + 4/3 = 0 for h.
-1, -2/3
Let n(r) = 3*r**5 - 3*r**4 - 6*r**3 + 17*r - 17. Let u(t) = t**5 - t**4 - 2*t**3 + 6*t - 6. Let l(a) = 6*n(a) - 17*u(a). Determine p so that l(p) = 0.
-1, 0, 2
Let f be ((-14)/(-1512))/(2/6). Let n(p) be the third derivative of -f*p**4 + 4/315*p**7 + 0 + 0*p**3 - 2/45*p**6 + 0*p + 1/18*p**5 + 3*p**2. Factor n(m).
2*m*(m - 1)*(2*m - 1)**2/3
Factor 3*p**3 + 9*p**3 - 60*p + 48 - 68*p + 80*p - 3*p**4.
-3*(p - 2)**3*(p + 2)
Let w(q) be the first derivative of 3*q**7/560 + q**6/120 + q**5/240 - q**3 + 1. Let m(k) be the third derivative of w(k). Factor m(c).
c*(3*c + 1)**2/2
Let b(l) = -3*l**3 + l**2 + 5*l + 3. Let k be b(-1). Suppose -4/3*m**2 + 4/3 + 8/3*m**3 - k*m - 2/3*m**5 + 0*m**4 = 0. Calculate m.
-2, -1, 1
Let y = 4 + -9. Let w be 1/(-15) + (-2)/y. Factor w*t**4 - 1/3*t**3 + 0*t + 0*t**2 + 0.
t**3*(t - 1)/3
Let d(y) = y**2 - 5*y + 2. Let v be d(5). Let t(u) be the first derivative of 3/2*u**4 - 1 - 2/3*u**3 + 0*u - v*u**2. Determine a, given that t(a) = 0.
-2/3, 0, 1
Let s be -3*((-30)/9)/(-5). Let w be 4/(-4)*(s + 0). Factor -10 + 4*n**3 + 10 - 2*n**4 - w*n**2.
-2*n**2*(n - 1)**2
Let g(w) be the first derivative of -2/27*w**3 + 0*w + 0*w**2 + 6 - 1/18*w**4. Factor g(c).
-2*c**2*(c + 1)/9
Let o be (-6)/(-27) - (-156)/27. Let r(y) be the first derivative of 1/2*y**2 + 2*y**3 + 0*y + 12/5*y**5 + 2/3*y**o + 13/4*y**4 - 2. Factor r(x).
x*(x + 1)**2*(2*x + 1)**2
Let f be (-12)/(-9)*36/8. Let k(u) be the second derivative of 1/3*u**3 - 11/12*u**4 + 0 + 0*u**2 + 4/5*u**5 + 4*u - 7/30*u**f. Solve k(h) = 0 for h.
0, 2/7, 1
Let z = -4 - -29/4. Let y = 4 - 13/4. Determine s, given that -4*s**2 - y*s**4 + 0 - s - z*s**3 = 0.
-2, -1/3, 0
Let o = 8 + -8. Let u(p) be the second derivative of -1/4*p**2 + 1/24*p**3 + 13/60*p**6 - 17/40*p**5 - 1/24*p**7 + 1/3*p**4 + o - 2*p. Factor u(w).
-(w - 1)**4*(7*w + 2)/4
Suppose 4*q - 31 = -n - 4*n, -3*n + 4*q - 7 = 0. Factor 2*c**3 + 4*c - 2*c**3 - c**3 - n*c**3 + c**2 - 1.
-(c - 1)*(c + 1)*(4*c - 1)
Let u be 1 + (-68)/(-36) - 2. Determine b, given that 2/9 - u*b + 8/9*b**3 - 2/9*b**2 = 0.
-1, 1/4, 1
Let r(n) be the third derivative of 0 + 1/32*n**6 + 13/840*n**7 + 0*n**3 + 1/96*n**4 + 7/240*n**5 + 1/336*n**8 + 0*n + n**2. Factor r(l).
l*(l + 1)**3*(4*l + 1)/4
Let r be (-1)/4 + 620/2400. Let w(n) be the third derivative of 0 - n**2 + 0*n**3 + 1/30*n**5 - r*n**6 + 0*n - 1/24*n**4. Factor w(f).
-f*(f - 1)**2
Let k(b) = 6*b**3 - 7*b**2 + b + 2. Suppose 0 = -0*z - z. Let c(q) = -q**2 + q**3 + 1 + 0 + z*q**3. Let s(m) = -2*c(m) + k(m). Find t such that s(t) = 0.
0, 1/4, 1
Let w(z) be the first derivative of 1/18*z**3 - 3 - 1/12*z**2 + 1/24*z**4 - 1/6*z. Let w(u) = 0. What is u?
-1, 1
Suppose 0 = -4*p + 37 + 7. Let a = p + -8. Let 6*n - n**4 + n**2 - n**3 + 0*n - 2*n - a*n = 0. What is n?
-1, 0, 1
Let x(w) be the first derivative of 2 + 1/3*w**2 - 5/9*w**3 + 1/4*w**4 + 0*w. Let x(q) = 0. Calculate q.
0, 2/3, 1
Let w be 72/324 + 68/18. Suppose -6/7*b**2 - 6/7*b**3 - 2/7*b + 0 - 2/7*b**w = 0. Calculate b.
-1, 0
Let c be -1 + (-2)/2 - -2. Let d(p) be the third derivative of c*p - 2*p**2 + 1/24*p**4 + 0*p**3 + 0 - 1/120*p**5. Factor d(g).
-g*(g - 2)/2
Let b(q) = -q**3 + 2*q**2 + 5*q - 4. Let w be (-15)/(-6)*12/10. Let z be b(w). Determine l, given that 2/7*l**z + 0*l + 0 - 2/7*l**3 = 0.
0, 1
Suppose -d - 5*z = -10, -d - 2*z = -4*d - 4. Find p such that 0 - 2/9*p**2 - 2/9*p**3 + d*p = 0.
-1, 0
Let m(h) be the first derivative of 3*h**4/4 - 2*h**3 + 3*h**2/2 + 53. Factor m(p).
3*p*(p - 1)**2
Determine b, given that 0*b - 3/2*b**5 - 3/2*b**3 + 3*b**4 + 0*b**2 + 0 = 0.
0, 1
Let f(u) = 8*u**2 - 104*u + 76. Let i(o) = o**2 - 15*o + 11. Let w(t) = 3*f(t) - 20*i(t). Factor w(h).
4*(h - 2)*(h - 1)
Let u(x) be the second derivative of -x**5/20 - x**4/4 - 3*x**2/2 - 6*x. Let h(a) be the first derivative of u(a). Solve h(l) = 0.
-2, 0
Suppose 4*i = 129 + 47. Let k be i/(-40) - (-3)/2. Factor 2/5*s**2 + 0 - k*s.
2*s*(s - 1)/5
Let r(s) = s**2 - 5*s. Let m(n) = n. Let g(k) = -4*m(k) - r(k). Solve g(z) = 0 for z.
0, 1
Let x(q) = -q**3 + 6*q**2 - 2*q - 9. Let t be x(5). Let p(g) be the first derivative of 0*g - 1/9*g**t + 2 + 0*g**4 + 0*g**3 - 2/15*g**5 + 0*g**2. Factor p(k).
-2*k**4*(k + 1)/3
Let r(y) be the third derivative of -y**8/1008 + y**7/315 - y**5/90 + y**4/72 - 6*y**2. Factor r(w).
-w*(w - 1)**3*(w + 1)/3
Let y(c) be the second derivative of -3*c**5/20 - c**4/12 - c**2/2 + 4*c. Let l(t) be the first derivative of y(t). What is q in l(q) = 0?
-2/9, 0
Let o(p) be the second derivative of 11*p**5/160 + 3*p**4/32 - p**3/24 + 8*p. Find k such that o(k) = 0.
-1, 0, 2/11
Suppose 2*p - 5*j = -6*j + 12, 0 = -4*p + 5*j - 4. Factor 23*q**2 + 2*q**5 - 26*q**5 + 8*q - 4 - q**5 - 19*q**3 - 73*q**p + 18*q**4.
-(q + 1)**3*(5*q - 2)**2
Let x(o) be the second derivative of o**7/252 - o**6/36 + o**5/20 + o**4/18 - 2*o**3/9 - 2*o. Determine i, given that x(i) = 0.
-1, 0, 2
Let c(f) be the second derivative of f**7/63 + f**6/9 + 4*f**5/15 + 2*f**4/9 + 7*f. Factor c(n).
2*n**2*(n + 1)*(n + 2)**2/3
Let y(t) = 7*t + 2 - 32*t**2 + 9*t - 5 - 1. Let x(i) = 32*i**2 - 16*i + 5. Let v(c) = 2*x(c) + 3*y(c). Factor v(f).
-2*(4*f - 1)**2
Let k(l) be the second derivative of 1/40*l**5 - 1/24*l**3 + 1/120*l**6 + 0 - 2*l - 1/168*l**7 + 1/8*l**2 - 1/24*l**4. Factor k(g).
-(g - 1)**3*(g + 1)**2/4
Let g(n) be the first derivative of -7*n**4/24 - 13*n**3/9 - 13*n**2/12 + n - 19. Factor g(c).
-(c + 1)*(c + 3)*(7*c - 2)/6
Let i(j) be the first derivative of 4*j**5/45 - 8*j**3/9 + 16*j**2/9 - 4*j/3 - 41. Factor i(r).
4*(r - 1)**3*(r + 3)/9
Let q be (-3)/(-36)*(-2)/(-12). Let l(f) be the third derivative of 0 - 1/18*f**3 + 1/360*f**6 + 1/180*f**5 + 0*f + 3*f**2 - q*f**4. Solve l(w) = 0 for w.
-1, 1
Suppose 2*n + 3*n - 50 = 0. Suppose 0 = 3*h + 4 - n. Factor -2*b**h - b - 2 + 4*b**2 - b**2.
(b - 2)*(b + 1)
Suppose -2/3*l**3 - 32/3*l + 8 + 14/3*l**2 = 0. Calculate l.
2, 3
Let m be 6/(-21)*2*1/(-2). Solve m*h + 32/7*h**5 - 20/7*h**2 - 80/7*h**4 + 66/7*h**3 + 0 = 0 for h.
0, 1/4, 1
Let b = -50/3 + 17. Factor 2/3*f**2 + b*f**5 + 0*f**4 - 2/3 - 4/3*f**3 + f.
(f - 1)**3*(f + 1)*(f + 2)/3
Let v(b) = -b**3 - b**2 - 99. Let g be v(0). Let a be 6/(-33) + (-84)/g. Find c such that -2/3*c**4 - 1/3*c + 0*c**3 + 0 + a*c**2 + 1/3*c**5 = 0.
-1, 0, 1
Let g(m) = -11*m**4 + 5*m**3 - 5*m**2 + 11*m. Let s(r) = -7*r**4 + 3*r**3 - 3*r**2 + 7*r. Let d(z) = -5*g(z) + 8*s(z). What is o in d(o) = 0?
-1, 0, 1
Let z(l) be the third derivative of -l**7/1470 - l**6/168 - l**5/140 + 3*l**4/56 - 32*l**2. Factor z(c).
-c*(c - 1)*(c + 3)**2/7
Let t(m) be the second derivative of m**5/10 - m**3/3 + 6*m. Let t(l) = 0. What is l?
-1, 0, 1
Let x(l) = 5*l + 74. Let n be x(-14). Factor -1/5*t**n - 1/5*t**3 + 0 + 1/5*t**2 + 1/5*t.
-t*(t - 1)*(t + 1)**2/5
Let x(l) be the third derivative of -2/105*l**5 - 6*l**2 + 0*l**3 + 1/105*l**6 + 0*l**4 + 0*l + 0 - 1/735*l**7. Factor x(w).
-2*w**2*(w - 2)**2/7
Let p(h) be the first derivative of 2/5*h**3 + 4 - 3/10*h**4 + 0*h + 2/25*h**5 - 1/5*h**2. Suppose p(l) = 0. What is l?
0, 1
Factor -52*t**3 + 5*t + 36*t**2 + 20*t**4 + t - 7 - 2*t - 1.
4*(t - 1)**3*(5*t + 2)
Let f(q) be the second derivative of 5*q**7/42 + 7*q**6/36 - 13*q**5/24 - 5*q**4/18 + 5*q**3/9 - 16*q. Determine c so that f(c) = 0.
-2, -2/3, 0, 1/2, 1
Let c(b) = 4*b**4 + 6*b**2 - 13*b + 8. Let q(s) = 5*s**4 + 6*s**2 - 14*s + 9. Let h(a) = 6*c(a) - 5*q(a). Factor h(r).
-(r - 1)**3*(r + 3)
Suppose 0 = 4*q + 1 - 9. Let u be (q/(-3))/(3/(-9)). Factor -3*g - 3*g**2 + u + 11*g**3 - 3 - 12*g