 1)**3/4
Determine n so that 384/7*n - 864/7*n**2 + 132/7*n**3 - 48/7 - 63*n**5 + 141*n**4 = 0.
-1, 2/7, 2/3, 2
Suppose -4*f - 8 = -6*f. Let k = -44 - -222/5. Factor -2/5*j + 2/5*j**2 - 2/5*j**f + k*j**3 + 0.
-2*j*(j - 1)**2*(j + 1)/5
Let w(u) be the first derivative of u**5/120 - u**4/12 + u**3/3 - u**2/2 + 3. Let a(q) be the second derivative of w(q). Suppose a(i) = 0. What is i?
2
Let f(x) be the third derivative of 0*x + 0 - 1/360*x**6 - 1/2*x**3 - 3*x**2 + 0*x**4 - 1/120*x**5. Let r(q) be the first derivative of f(q). Solve r(g) = 0.
-1, 0
Let q be 3*(6/6)/12. Determine u, given that -1/2 + 1/4*u + q*u**2 = 0.
-2, 1
Let g(q) be the first derivative of -1/10*q**5 - q + 0*q**3 + 0*q**2 - 1/15*q**6 - 2 + 0*q**4. Let a(y) be the first derivative of g(y). Factor a(x).
-2*x**3*(x + 1)
Find u such that 72/7*u**2 + 52/7*u**3 - 50/7*u**5 + 16/7*u - 90/7*u**4 + 0 = 0.
-2, -2/5, 0, 1
What is v in 0*v + 2/3*v**4 + 0 - 4/3*v**2 - 2/3*v**3 = 0?
-1, 0, 2
Let n be ((-875)/(-20))/(1/(-8)). Let b = 1066/3 + n. Factor -2/3 - 85/6*l**2 + 25/2*l**3 + b*l.
(3*l - 1)*(5*l - 2)**2/6
Let r(t) be the third derivative of 0*t**3 + 0 - 1/2184*t**8 - 1/390*t**5 + 0*t**4 - 4*t**2 + 0*t + 1/1365*t**7 + 1/780*t**6. Suppose r(o) = 0. Calculate o.
-1, 0, 1
Let j = -173 - -521/3. Factor -8/3*n**2 - 10/3*n**4 + 16/3*n**3 + j*n**5 + 0 + 0*n.
2*n**2*(n - 2)**2*(n - 1)/3
Determine k so that 14/5*k**2 - 4/5 + 2*k = 0.
-1, 2/7
Let y = 4754/11 + -432. Find b, given that 0 + 4/11*b**2 + y*b**3 + 2/11*b = 0.
-1, 0
Let r = -21 - -15. Let l be (-3)/(-6) + r/(-4). Factor -4/7 - 2/7*i + 2/7*i**l.
2*(i - 2)*(i + 1)/7
Let 0*t**2 - 6/11*t + 0 + 6/11*t**3 = 0. What is t?
-1, 0, 1
Let j(f) = -8*f**2 - 5*f. Let i(g) = g**2 + g. Suppose 0 = 4*d - 69 + 13. Let a(k) = d*i(k) + 2*j(k). Factor a(t).
-2*t*(t - 2)
Factor 2/3*g - 1/3*g**2 - 1/3.
-(g - 1)**2/3
Let a(v) = -v - 5. Let t be a(-9). Let -4*s**t - 17*s + s**4 + 16*s + 5*s - 7*s**3 = 0. Calculate s.
-2, -1, 0, 2/3
Let n be 4 - (-3)/((-9)/(-3)). Let c(r) = -6*r**3 + 3*r**2 + 5. Let v(h) = -5*h**3 + 2*h**2 + 4. Let g(l) = n*v(l) - 4*c(l). Determine z, given that g(z) = 0.
-2, 0
Let s be 2 + 3 + (-6)/3. Suppose -s*y - 5 = -17. Factor 1/2*m**2 - m**3 + 0 + 1/2*m**y + 0*m.
m**2*(m - 1)**2/2
Suppose -3*j + 5*g + 6 = 0, -3*j - 4*g = -6 - 0. Factor 0*u - 2/11*u**j + 0.
-2*u**2/11
Suppose 2*o = 3*o. Suppose 2*u + u = o. Factor -4/3*l**4 + 4/3*l**2 + 0*l**3 - 2/3*l + u + 2/3*l**5.
2*l*(l - 1)**3*(l + 1)/3
Let c(d) be the first derivative of d**7/840 - d**6/60 + d**5/10 - d**4/3 - d**3 - 2. Let g(y) be the third derivative of c(y). Factor g(q).
(q - 2)**3
Suppose 2*x = -2*s - 12, -3 = 2*x - 3*s - 1. Let a be (-1 - x)/24*4. Factor a + 1/2*b**4 + 2*b**3 + 3*b**2 + 2*b.
(b + 1)**4/2
Let h(n) = 2*n**2 - n. Let x be h(1). Suppose 2*i - 9 + x = 0. Factor f**i + 0 + 1/4*f**5 + 1/4*f + 3/2*f**3 + f**2.
f*(f + 1)**4/4
Let w(o) be the third derivative of o**7/735 + o**6/420 - o**5/210 - o**4/84 - 14*o**2. Suppose w(l) = 0. What is l?
-1, 0, 1
Let f be (-24)/9*3/(-2). Factor -f*l**3 - 4*l - 6*l**2 - 2*l**2 + 0*l**3.
-4*l*(l + 1)**2
Solve 2/7*l**3 - 8/7*l**2 - 4/7 + 10/7*l = 0 for l.
1, 2
Let s(r) be the second derivative of r**5/5 + 2*r**4/3 - 26*r. Factor s(i).
4*i**2*(i + 2)
Let j be 0/(-2) + (-11)/(-33). Let o(z) be the third derivative of 0*z + 0 - 2*z**2 - 1/60*z**6 + 1/12*z**4 + 1/30*z**5 - j*z**3. What is g in o(g) = 0?
-1, 1
Let u be 1*(-2)/9 + 224/360. Factor 2/5*m**4 - u*m**3 + 2/5*m + 0 - 2/5*m**2.
2*m*(m - 1)**2*(m + 1)/5
Let p(i) be the second derivative of -i**7/63 - 20*i. Factor p(y).
-2*y**5/3
Let m(b) = b - 1. Let z be m(1). Suppose 12 = 3*j - z*j. Suppose -4*l**2 + 4*l**2 + j*l**2 - 2*l**2 + 4*l = 0. Calculate l.
-2, 0
Let o(z) = 2*z**3 - 12*z**2 - 38*z - 18. Let a(n) = n**2 + n + 1. Let x(g) = -36*a(g) - 2*o(g). Factor x(i).
-4*i*(i - 2)*(i + 5)
Let t(w) be the first derivative of 2*w**5/55 - w**4/11 + 2*w**3/33 + 37. Factor t(r).
2*r**2*(r - 1)**2/11
Let d(z) be the first derivative of -z**4/8 - z**3/3 - z**2/4 + 3. Solve d(x) = 0 for x.
-1, 0
Let s(p) = 9*p**4 + 14*p**3 - 6*p - 5. Let t(y) = 35*y**4 + 55*y**3 - 25*y - 20. Let c(k) = -15*s(k) + 4*t(k). Factor c(h).
5*(h - 1)*(h + 1)**3
Factor 29*l**2 + 18 - 46*l - 7*l**3 + l**4 - 2*l**3 + 7*l.
(l - 3)**2*(l - 2)*(l - 1)
Let -5/4*c**4 + 0 - 1/2*c**3 + 0*c**2 + 0*c - 1/2*c**5 = 0. Calculate c.
-2, -1/2, 0
Let l(s) be the third derivative of -s**8/672 - s**7/210 - 13*s**2. Factor l(v).
-v**4*(v + 2)/2
What is v in -4/5*v + 0*v**2 + 0 - 1/5*v**4 + 3/5*v**3 = 0?
-1, 0, 2
Let i = 474/5 + -94. Let p(a) be the first derivative of 9/5*a**2 + i*a + 1/2*a**4 + 2 + 8/5*a**3. Determine v, given that p(v) = 0.
-1, -2/5
Let h be (0/1 - 0)/1. Suppose -2*t + 6*d - d = 21, -t = -4*d + 18. Factor 1/4*s**t - 1/4 + h*s.
(s - 1)*(s + 1)/4
Let r be (9/(-14))/((270/(-7))/9). Let n(q) be the first derivative of 0*q**3 - 1 + 0*q + 0*q**2 + r*q**4. Factor n(s).
3*s**3/5
Let t(u) be the second derivative of 0*u**4 - 2*u + 0*u**3 + 0*u**2 + 1/10*u**5 + 0 + 1/45*u**6. Let t(m) = 0. What is m?
-3, 0
Factor -3/2 + 15/4*p - 3*p**2 + 3/4*p**3.
3*(p - 2)*(p - 1)**2/4
Let l(g) be the third derivative of 1/30*g**5 + 4/105*g**7 + 0*g**4 + 0 + 0*g + 1/15*g**6 + 0*g**3 - g**2. Factor l(b).
2*b**2*(2*b + 1)**2
Let n = -354 - -2837/8. Let i = n - 17/40. Factor 0*o - i + 1/5*o**2.
(o - 1)*(o + 1)/5
Let l(o) = o**3 + 8*o**2 + 7*o + 9. Let h be l(-7). Suppose 2*m = h - 3. Factor 5*v + 2*v**m - 5*v.
2*v**3
Let g(k) = -k + 13. Let j be g(11). What is z in -z**2 - 2*z**4 + z + 3*z**3 - z**4 - j*z**2 + 2*z**4 = 0?
0, 1
Let w(l) be the first derivative of -6 + 1/3*l**3 + l + l**2. Let w(z) = 0. What is z?
-1
Suppose t - 155 = -5*u - 14, -5*u + 4*t + 136 = 0. Suppose -s = 5*x - u, -x = -s - 3*s + 7. Factor -7*b**5 + 5*b**4 - 5*b**s + 12*b**3 - 5*b**3 + 0*b**4.
-b**3*(b - 1)*(7*b + 2)
Let d(r) be the second derivative of -r**7/168 + r**6/60 - r**4/24 + r**3/24 - 3*r. Find c, given that d(c) = 0.
-1, 0, 1
Let z = 1/43 - -36/301. Let p(c) be the second derivative of 0 - 7/10*c**5 + 0*c**2 + 0*c**3 - z*c**7 + 8/15*c**6 - c + 1/3*c**4. Factor p(f).
-2*f**2*(f - 1)**2*(3*f - 2)
Let c = 0 + 2. Find d such that d - 5*d - d**c - 2 - d**2 = 0.
-1
Let d(n) be the first derivative of n**6/2 + 3*n**5/5 - 9*n**4/4 - n**3 + 3*n**2 - 4. Let d(o) = 0. What is o?
-2, -1, 0, 1
Solve -1/3 - 1/6*t**2 - 1/2*t = 0.
-2, -1
Let v(a) = a**4 - 5*a**2 - 4*a. Let n(j) be the first derivative of j**5/5 - 4*j**3/3 - 3*j**2/2 - 3. Let y(i) = 4*n(i) - 3*v(i). Find x such that y(x) = 0.
-1, 0, 1
Let t(q) be the third derivative of -5*q**8/336 - q**7/21 + q**6/3 - q**5/6 - 35*q**4/24 + 10*q**3/3 - 13*q**2. Suppose t(h) = 0. What is h?
-4, -1, 1
Let z = 1837/14 + -131. Let i = 2/7 + z. Factor q**3 + 0 + i*q**2 + 1/2*q**4 + 0*q.
q**2*(q + 1)**2/2
Suppose 0 = -0*p - 4*p + 16. Let y be (2/12)/(2/p). Factor 1/3*o**5 + 2/3*o**2 - 2/3*o**3 - y*o**4 + 1/3*o - 1/3.
(o - 1)**3*(o + 1)**2/3
Let g(m) be the third derivative of -m**8/448 + 3*m**7/280 + 3*m**6/160 - 7*m**5/80 - 3*m**4/16 - 5*m**2. Find d such that g(d) = 0.
-1, 0, 2, 3
Factor 2/5*r**4 - 4/5 + 6/5*r - 6/5*r**3 + 2/5*r**2.
2*(r - 2)*(r - 1)**2*(r + 1)/5
Let r = -2/57 - -23/114. Let g(n) be the first derivative of 0*n + 9/16*n**4 - 7/20*n**5 + 0*n**2 - 1 - r*n**3. Factor g(j).
-j**2*(j - 1)*(7*j - 2)/4
Let r be 36/27 - (3/(-1) + 1). Factor c**2 - r*c + 1.
(c - 3)*(3*c - 1)/3
Let p(u) be the third derivative of -u**7/1260 - u**6/90 - u**5/20 + u**4/6 - u**2. Let m(q) be the second derivative of p(q). Solve m(r) = 0 for r.
-3, -1
Let a(r) be the first derivative of r**7/420 - r**6/60 + r**5/20 - r**4/12 - r**3 + 3. Let v(g) be the third derivative of a(g). Factor v(x).
2*(x - 1)**3
Let d(c) = c**2 + c - 1. Let i(f) = 5*f**3 - 14*f**2 - 24*f + 44. Let m(j) = 4*d(j) + i(j). Factor m(x).
5*(x - 2)**2*(x + 2)
Let b(y) be the first derivative of -y**3/3 - 3. Factor b(g).
-g**2
Let s(j) = -5*j - 2. Let t be s(-1). Let z(w) be the second derivative of 0 - 1/6*w**4 - w + 1/4*w**t + 1/4*w**2. Determine f so that z(f) = 0.
-1/4, 1
Let w(u) = 8*u**4 + 3*u**3 - 23*u**2 + 10*u + 4. Let s(p) = -p**3 - p**2. Let i(y) = s(y) + w(y). Suppose i(h) = 0. What is h?
-2, -1/4, 1
Let w(r) = r - 1. Let k(s) = 3*s**2 - 7*s + 9. Let q be -1 + 3 - (2 