e the first derivative of -1/4*u**2 - 4 + 0*u + 1/6*u**3. Factor t(a).
a*(a - 1)/2
Let u(z) be the third derivative of z**8/168 + z**7/45 + z**6/60 - z**5/30 - z**4/18 - 3*z**2. Solve u(k) = 0 for k.
-1, 0, 2/3
Let i(g) = -9*g**4 - 2*g**3 + 33*g**2 - 6*g - 4. Let s(d) = 9*d**4 + 2*d**3 - 32*d**2 + 7*d + 4. Let p(m) = 5*i(m) + 6*s(m). Factor p(h).
(h - 1)**2*(h + 2)*(9*h + 2)
Let x = -11 - -8. Let s = -1 - x. Factor 0*t - 1/4*t**s + 0 + 1/4*t**3.
t**2*(t - 1)/4
Let p(v) = v**5 - v**3 + v + 1. Let w(x) = 15*x**5 - 22*x**4 - x**3 + 5*x + 5. Let r(f) = -5*p(f) + w(f). Determine i, given that r(i) = 0.
0, 1/5, 2
Factor 6/7*i**2 + 2/7 - 6/7*i - 2/7*i**3.
-2*(i - 1)**3/7
Suppose -1 + 8 = t. Let p(l) = l**3 - 6*l**2 - 7*l + 3. Let n be p(t). Solve u**n + 48*u**3 - 14*u**2 - 24*u - 7*u**2 - 4 = 0 for u.
-2/7, 1
Let t(r) = r**2 - r - 1. Let c be t(-1). Let a be c/4 + (-3)/12. Factor -5/3*f**2 - 2/3*f + 1/3*f**4 - f**3 + a + 1/3*f**5.
f*(f - 2)*(f + 1)**3/3
Let h be 2/(3/15*-2). Let a(u) = -3*u**4 - u**3 + 2*u**2 - 5*u. Let w(l) = 5*l**4 + 2*l**3 - 3*l**2 + 8*l. Let f(z) = h*w(z) - 8*a(z). Solve f(d) = 0.
-1, 0
Let s = -17/24 + 11/8. Factor 1/3*f**5 + 0*f**2 - s*f**3 + 0 + 1/3*f + 0*f**4.
f*(f - 1)**2*(f + 1)**2/3
Suppose -3*r + r = 4*k - 18, 3*k + 27 = 3*r. Let f be (-4 - -8)*r/60. Factor -4/5*x + 1/5*x**4 + 0*x**2 + f*x**3 + 0.
x*(x - 1)*(x + 2)**2/5
Let g = -58 + 191/4. Let f = 21/2 + g. Find v, given that f - 1/4*v**3 - 1/4*v**2 + 1/4*v = 0.
-1, 1
Let p(g) = -3 - 3*g - g + 3*g. Let v be p(-4). Factor 3*m + m**2 + v + m**2 + 3 + 3*m.
2*(m + 1)*(m + 2)
Let j be 6/2*(-2)/(-2). Factor 3*k**j - 4*k + 4*k**3 - 12*k**2 + 0*k**3.
k*(k - 2)*(7*k + 2)
Let a(f) be the second derivative of -1/6*f**4 - 1/90*f**6 - 1/15*f**5 - 2/9*f**3 + 0 - f - 1/6*f**2. Factor a(r).
-(r + 1)**4/3
Suppose -f - 4*f = 0. Determine t so that 2*t**2 - t + f*t**2 - 6*t**2 + 4*t**4 - t + 2*t**5 = 0.
-1, 0, 1
Let q(f) be the third derivative of -7*f**8/36 - 16*f**7/15 - 137*f**6/90 + 26*f**5/45 + 2*f**4 - 16*f**3/9 - 18*f**2. Let q(m) = 0. Calculate m.
-2, -1, 2/7
Let u(q) = 12*q**3 + 21*q**2 + 21. Let s(d) = -3*d**3 - 5*d**2 - 5. Let f be (-8)/(-2)*(-20)/(-16). Let o(b) = f*u(b) + 21*s(b). Factor o(t).
-3*t**3
Let d(f) be the second derivative of f**5/50 + 7*f. Determine t, given that d(t) = 0.
0
Let u be 8/20 + (-26)/(-10). Let i(h) = -3*h + 2*h**4 - u + 2 + 4*h**2 - 2 - 3*h**3 + 1. Let k(o) = -o**3 + o + 1. Let q(l) = -i(l) - 2*k(l). Factor q(t).
-t*(t - 1)**2*(2*t - 1)
Let x(t) = 2*t**2 - 4*t + 6. Let o(b) = 4*b**2 - 7*b + 13. Suppose 0 = l + 2*r + 8, 2*r - 2 = 4*l - 0. Let a(w) = l*o(w) + 5*x(w). Solve a(j) = 0.
1, 2
Suppose -4*z + 2 = -5*m + 6, -4*z + 24 = 2*m. Suppose -h - 5*h = 0. Factor 1/2*f**5 + f**z - 1/2*f + h - f**2 + 0*f**3.
f*(f - 1)*(f + 1)**3/2
Let b(o) be the second derivative of 95/24*o**4 - 5/8*o**5 - 16/3*o**3 + 3*o**2 + 0 - 3*o. Factor b(l).
-(l - 3)*(5*l - 2)**2/2
Let d = 896 - 896. Factor 1/5*g**3 - 2/5*g**2 + d*g + 0.
g**2*(g - 2)/5
Let k(q) be the first derivative of 1 + 0*q**2 + 0*q**4 + 1/360*q**6 + 1/120*q**5 + q**3 + 0*q. Let h(b) be the third derivative of k(b). Factor h(d).
d*(d + 1)
Let r be 76/8 - 6/(-4). Suppose -9 = -5*j + 2*l, -19 = -5*j - 5*l + r. Suppose 1/3*q**4 + 0*q + 0 + 1/3*q**j + 0*q**2 = 0. What is q?
-1, 0
Let a(l) = -3*l**3 - 9*l**2 + 3*l - 9. Let o(d) = d**3 + 5*d**2 - 2*d + 4. Suppose -5*i = -4 + 24. Let j(v) = i*a(v) - 9*o(v). Determine b, given that j(b) = 0.
0, 1, 2
Let s(z) be the first derivative of z**6/360 + z**5/120 - z**3/3 - 2. Let i(b) be the third derivative of s(b). Let i(c) = 0. Calculate c.
-1, 0
Suppose -3*z = z + 2*i - 34, -5*i + 13 = 2*z. Factor -3 - 11*s**3 - 9*s + 2*s**3 - z*s**2 + 6*s**3.
-3*(s + 1)**3
Factor -3/2*o**5 + 0*o + 0 + 3/2*o**3 + 3/2*o**4 - 3/2*o**2.
-3*o**2*(o - 1)**2*(o + 1)/2
Let x be (-6)/(-8)*(0 + (-32)/(-8)). Let w(v) be the first derivative of 6/7*v**2 + 2/7*v**4 + 6/7*v**x + 3 + 2/7*v. Factor w(z).
2*(z + 1)**2*(4*z + 1)/7
Let m(v) be the first derivative of -v**6/30 + 3*v**5/10 - 13*v**4/12 + 2*v**3 - 2*v**2 + 2*v + 3. Let g(h) be the first derivative of m(h). Factor g(t).
-(t - 2)**2*(t - 1)**2
Let x(q) be the second derivative of -1/15*q**3 + 0 + 3/25*q**5 + 1/35*q**7 + 8/75*q**6 + 0*q**2 - 3*q + 0*q**4. Factor x(a).
2*a*(a + 1)**3*(3*a - 1)/5
Let m(t) = 43*t**2 + 113*t + 100. Let x(z) = 21*z**2 + 57*z + 50. Let w(j) = -6*m(j) + 14*x(j). Factor w(y).
4*(3*y + 5)**2
Let b(l) = 4*l**3 + 21*l**2 + 75*l. Let u(n) = 2*n**3 + 10*n**2 + 38*n. Let k(w) = 6*b(w) - 11*u(w). Determine i, given that k(i) = 0.
-4, 0
Let h(o) be the second derivative of o**4/16 + 11*o**3/4 + 363*o**2/8 - 28*o. Factor h(y).
3*(y + 11)**2/4
Let r = -347/4 + 87. Factor 0*q**3 + 1/4 + 0*q + r*q**4 - 1/2*q**2.
(q - 1)**2*(q + 1)**2/4
Let t be (-36 - -43) + 47/(-7). Factor 2/7*d**2 - 4/7*d + t.
2*(d - 1)**2/7
Find c such that -3*c - c + 9*c**2 - 6*c - 3*c**2 - 4 = 0.
-1/3, 2
Find d, given that -2/5*d**2 + 0 - 2/5*d**4 + 0*d + 4/5*d**3 = 0.
0, 1
Let n be (-3)/(-3) + 478/(-480). Let b(t) be the third derivative of -1/12*t**3 + 0 - n*t**5 - t**2 + 1/32*t**4 + 0*t. Factor b(i).
-(i - 2)*(i - 1)/4
Let r(z) be the second derivative of -2*z**7/21 - 2*z**6/5 - z**5/5 + z**4 + 4*z**3/3 + 15*z. Suppose r(l) = 0. What is l?
-2, -1, 0, 1
Let b(i) = -i - 2*i**3 + 3*i**3 - i**2 + 5*i**2 + 3 - 4*i. Let y be b(-5). Find k such that -12*k - 8*k**3 + 4*k + 5*k**3 + 17*k**y + 24*k**2 = 0.
-2, 0, 2/7
Let g(z) be the first derivative of -z**6/600 + z**4/120 - 2*z**2 - 4. Let j(q) be the second derivative of g(q). Let j(c) = 0. What is c?
-1, 0, 1
Let d(v) be the first derivative of -v**7/210 + v**6/15 - 2*v**5/5 + 4*v**4/3 - 8*v**3/3 - 3*v**2/2 - 1. Let l(t) be the second derivative of d(t). Factor l(c).
-(c - 2)**4
Let y be ((-3)/(-5))/((-7)/(-35)). Let f(h) be the second derivative of 0 + 2*h**2 - 1/6*h**4 + h + 1/3*h**y. Let f(r) = 0. What is r?
-1, 2
Let j be (-49)/(-21) - (-1)/(-3). Let u(s) be the third derivative of -1/30*s**5 + 0 + 0*s**3 + 2*s**j + 0*s + 1/12*s**4 - 1/30*s**6. Find o such that u(o) = 0.
-1, 0, 1/2
Let f be 5 - 1/(-1)*2. Let s(m) = m - 4. Let i be s(f). Factor 0*b + 0*b**2 + 0*b**i + 0 + 1/3*b**4.
b**4/3
Suppose 3*f - 2 = 1. Let g = 7 + f. Let 0*n - 8 + n**2 - 3*n**3 + 0 + g*n + 12 = 0. Calculate n.
-1, -2/3, 2
Suppose -5*x - 3 - 7 = 0, 14 = 4*d - x. Factor -6*o**d + 22/3*o**2 - 4/3*o + 0.
-2*o*(o - 1)*(9*o - 2)/3
Let s(p) = -5*p**5 + 30*p**4 + 5*p**3 + 10*p**2 + 20*p - 20. Let r(f) = -f**4 - f**2 - f + 1. Let w(j) = -20*r(j) - s(j). Let w(x) = 0. Calculate x.
-1, 0, 1, 2
Let m(y) be the first derivative of -4*y**7/21 + 13*y**6/15 - 3*y**5/2 + 7*y**4/6 - y**3/3 - y - 3. Let x(s) be the first derivative of m(s). Factor x(l).
-2*l*(l - 1)**3*(4*l - 1)
Let x(q) = -q**2 - 26*q + 62. Let k be x(-28). Factor -4/3*y**5 - 14/3*y**4 - 2/3*y - k*y**3 + 0 - 10/3*y**2.
-2*y*(y + 1)**3*(2*y + 1)/3
Let r(u) = u**3 - u**2 + u. Let f(c) = -4*c**5 + 12*c**4 + 20*c**3 - 28*c**2 + 16*c. Let n(p) = -f(p) + 16*r(p). Solve n(w) = 0.
-1, 0, 1, 3
Let y = 2 + -2. What is v in 0 + y*v**2 + 5*v**3 + 2 + 5*v + 12*v**2 + 4*v = 0?
-1, -2/5
Let z(t) be the third derivative of t**8/1008 + t**7/315 - t**6/180 - 2*t**5/45 - 7*t**4/72 - t**3/9 - 28*t**2. Let z(a) = 0. What is a?
-1, 2
Let z(p) be the third derivative of -p**7/70 - p**6/40 - 3*p**2. Factor z(t).
-3*t**3*(t + 1)
Factor 2/3*p**2 + 0*p**3 - 2/3*p**4 + 0 + 1/3*p - 1/3*p**5.
-p*(p - 1)*(p + 1)**3/3
Let l be 111/27 - 2/18. Let i(g) be the second derivative of -2/15*g**5 + 0 - 1/3*g**2 + 7/18*g**l - 2/9*g**3 + 2*g. Factor i(p).
-2*(p - 1)**2*(4*p + 1)/3
Let z(h) be the third derivative of -h**7/210 - h**6/60 + h**5/20 + h**4/6 - 2*h**3/3 - h**2. Find a, given that z(a) = 0.
-2, 1
Let h(t) be the third derivative of 1/21*t**3 + 1/105*t**6 + 1/35*t**5 + 0*t + 1/21*t**4 - 2*t**2 + 1/735*t**7 + 0. Factor h(o).
2*(o + 1)**4/7
Let f(g) be the second derivative of g**7/56 - g**6/4 + 3*g**5/2 - 5*g**4 + 10*g**3 - 12*g**2 - 3*g. Factor f(c).
3*(c - 2)**5/4
Let y(h) = 9*h + 603. Let c be y(-67). Suppose 2*b - b = 0. What is t in c - 2/5*t**2 + b*t = 0?
0
Let f(x) be the second derivative of x**7/2100 + x**6/900 - x**5/300 - x**4/60 + x**3/2 + 3*x. Let c(u) be the second derivative of f(u). Solve c(a) = 0.
