s. What is z in j(z) = 0?
-2, -1, -1/4, 2
Factor 0*o - 2/11*o**4 + 0*o**3 - 2/11 + 4/11*o**2.
-2*(o - 1)**2*(o + 1)**2/11
Let y(d) be the first derivative of -d**5/20 + d**4/36 + d**3/9 + 3*d + 7. Let t(f) be the first derivative of y(f). Factor t(x).
-x*(x - 1)*(3*x + 2)/3
Let k(h) be the third derivative of h**7/1260 - h**6/240 + h**5/180 - 3*h**2. Factor k(u).
u**2*(u - 2)*(u - 1)/6
Determine z, given that 4/9*z**2 - 2/9*z - 2/9*z**3 + 0 = 0.
0, 1
Let n(l) = -l**2 - l - 2. Let y be n(0). Let z = y + 4. Factor 4*c**2 - 2*c**3 + 3*c**3 - c - c**4 - 2*c**z - c**2.
-c*(c - 1)**2*(c + 1)
Let b(x) be the third derivative of x**5/100 - x**4/5 + 8*x**3/5 - 18*x**2. Determine o so that b(o) = 0.
4
Let w(d) be the first derivative of -d**3/3 - 3*d**2 - 8*d + 21. What is x in w(x) = 0?
-4, -2
Suppose 2/3*k**2 + 0*k**3 + 0*k - 1/3 - 1/3*k**4 = 0. What is k?
-1, 1
Let f(q) be the second derivative of q**6/720 + q**5/120 + q**4/48 + 2*q**3/3 - 2*q. Let v(n) be the second derivative of f(n). Factor v(j).
(j + 1)**2/2
Let f = -10 + 7. Suppose -62 = -3*t + 5*v, -3*t - 4 = 4*v - 30. Let i(b) = -24*b**2 - 20*b. Let u(a) = -5*a**2 - 4*a. Let r(j) = f*i(j) + t*u(j). Factor r(h).
2*h*(h + 2)
Let m(c) be the second derivative of -7*c + 0*c**2 - 1/5*c**4 + 0*c**3 - 1/10*c**6 + 6/25*c**5 + 0 + 1/70*c**7. Factor m(l).
3*l**2*(l - 2)**2*(l - 1)/5
Let h(v) = -3*v - 49. Let k be h(-18). Let w(m) be the third derivative of m**2 + 0*m**3 + 0*m**4 + 0 + 0*m - 1/180*m**6 - 1/90*m**k. Factor w(u).
-2*u**2*(u + 1)/3
Solve -g**3 + 1/4*g**4 + 0*g + g**2 + 0 = 0.
0, 2
Let x(t) = 23*t**4 - 15*t**3 - 38*t**2 + 8*t. Let g(a) = -15*a**4 + 10*a**3 + 25*a**2 - 5*a. Let h(y) = -8*g(y) - 5*x(y). Factor h(j).
5*j**2*(j - 2)*(j + 1)
Factor -4/5*x**4 + 0*x**2 + 0 + 2*x**3 + 0*x.
-2*x**3*(2*x - 5)/5
What is a in -4/3*a**3 - 2/3*a**2 - 1/3*a**5 - 1/9*a - 10/9*a**4 + 0 = 0?
-1, -1/3, 0
Let n(x) be the first derivative of -4/3*x**2 - 2/3*x - 2/3*x**4 - 4/3*x**3 + 8 - 2/15*x**5. Find w, given that n(w) = 0.
-1
Let q = -222 + 226. Factor -3*d + 0*d**3 - 9/2*d**2 + 3/2*d**q + 0.
3*d*(d - 2)*(d + 1)**2/2
Let y be 55/4 - (-10)/40. Determine i, given that y + 4*i**4 - 2 + 0*i**4 + 48*i**2 + 40*i + 24*i**3 = 0.
-3, -1
Factor 2*p + p**3 - 4*p**2 + p**2 + 7*p**2 - 8 + p**2.
(p - 1)*(p + 2)*(p + 4)
Factor 1/6*o**4 + 1/6 + o**2 - 2/3*o - 2/3*o**3.
(o - 1)**4/6
Suppose l + 4*c - 25 = 0, 3*l + c = l + 15. Factor -13*r**3 - 8*r**3 - r**l + 7*r**4 + 6*r**3 + 9*r**2.
-r**2*(r - 3)**2*(r - 1)
Factor 16/3*h**3 + 4/3*h**5 + 14/3*h**4 + 4/3*h**2 - 2/3 - 4/3*h.
2*(h + 1)**4*(2*h - 1)/3
Let l = -1720 + 25814/15. Let o(y) be the first derivative of -1 - 1/3*y**4 + 5/3*y**2 - 1/3*y**6 - 4/3*y**3 + l*y**5 - 2/3*y. Solve o(v) = 0.
-1, 1/3, 1
Let z(d) be the first derivative of -3*d**5/5 + 3*d**4/2 - d**3 + 10. Factor z(s).
-3*s**2*(s - 1)**2
Suppose -6*w + 7*w = -13. Let z be (-52)/w - 19/5. Factor -z*p**2 + 1/5*p + 0.
-p*(p - 1)/5
Factor 0*q + 4/3*q**2 - 4/3.
4*(q - 1)*(q + 1)/3
Let w(j) be the third derivative of -1/6*j**3 + 1/336*j**8 - 3*j**2 + 1/70*j**7 + 0*j - 1/30*j**5 - 1/8*j**4 + 0 + 1/60*j**6. Let w(s) = 0. What is s?
-1, 1
Let z(t) = 3*t + 60. Let r be z(-19). Let w(k) be the first derivative of 4 - 6*k**2 + 18*k + 2/3*k**r. Solve w(p) = 0 for p.
3
Let k(l) be the second derivative of l**6/90 - l**5/60 - l**4/36 + l**3/18 - 4*l. Factor k(p).
p*(p - 1)**2*(p + 1)/3
Let r(s) = s**3 + 4*s**2 + 2*s - 3. Let i be r(-3). Suppose 0 = -4*p - i*p + 16. Factor 4*n**3 + 13*n - 13*n + 2*n**2 + 2*n**p.
2*n**2*(n + 1)**2
Let g(n) = 2*n**2 - 22*n + 2. Let q(x) = 3*x**2 - 45*x + 5. Let p(w) = -5*g(w) + 2*q(w). Factor p(f).
-4*f*(f - 5)
Solve 4*s**2 + 6*s - 3*s - 3*s**2 + 0*s = 0 for s.
-3, 0
Let k(b) be the second derivative of 0 - 1/10*b**5 - 1/15*b**6 - 3*b + 1/21*b**7 + 0*b**2 + 0*b**3 + 1/6*b**4. Factor k(y).
2*y**2*(y - 1)**2*(y + 1)
Suppose 2*h = -h. Let t(p) be the third derivative of 1/24*p**4 + 1/10*p**5 + 1/35*p**7 + h*p + 0 - 2*p**2 + 0*p**3 + 11/120*p**6. Determine i so that t(i) = 0.
-1, -1/2, -1/3, 0
Let i(u) be the third derivative of 1/72*u**4 + 0 + 0*u**3 + 0*u + 1/180*u**5 + 2*u**2. Determine n, given that i(n) = 0.
-1, 0
Suppose 0 = 8*p - 2*p - 18. Let q be (-833)/(-1496) - p/8. Factor 2/11*w**3 + 0 + 2/11*w**2 - 2/11*w - q*w**4.
-2*w*(w - 1)**2*(w + 1)/11
Suppose -2*b - 3*z - 3 = 0, 2*z + 15 = b - 2*z. Let o(u) be the third derivative of 1/60*u**5 - 1/24*u**4 - 3*u**2 + 0 + 0*u**b + 0*u. Factor o(f).
f*(f - 1)
Let f be 1*(1 - 2)*-3. Solve 13 - 16 - 2*v**2 + 9*v + f*v**3 - v**2 - 6*v**2 = 0 for v.
1
Let d = 1/48 - -21/16. Let t(a) be the first derivative of -a**2 + 0*a**3 + 3 + d*a + 1/6*a**4. Factor t(p).
2*(p - 1)**2*(p + 2)/3
Suppose -4*z + 2*a + 6 = 0, 2*a + 2 = 2*z - 4. Factor -3/7*h**3 + 3/7*h + z*h**2 + 0.
-3*h*(h - 1)*(h + 1)/7
Let y = 43489/426 - -35/142. Let q = y - 101. Determine h so that 8/3*h**5 + q*h**3 + 0*h + 0 + 6*h**4 + 0*h**2 = 0.
-2, -1/4, 0
Let x(d) = 4*d**4 + 8*d**3 + 4*d**2 + 5*d - 5. Let v(y) = -2*y**4 - 4*y**3 - 2*y**2 - 3*y + 3. Let z(q) = -5*v(q) - 3*x(q). Suppose z(c) = 0. What is c?
-1, 0
Let r(x) = 7*x**4 - 7*x**2 - 5*x - 5. Let s(q) = -6*q**4 + 6*q**2 + 4*q + 4. Let g(i) = 4*r(i) + 5*s(i). Factor g(w).
-2*w**2*(w - 1)*(w + 1)
Let n be (-1 - 0)/(1/(-6)). Factor -2*i**5 - i**4 + i**4 + 6*i**4 + 2*i**2 - n*i**3.
-2*i**2*(i - 1)**3
Suppose -3*y + 4*n + 28 = 0, 3*y - n = -0*y + 16. Let j be (3 + -2)/((-1)/(-3)). Factor -q**j + q - 4*q**2 - 2*q**2 + 3*q**y + 3*q**2.
q*(q - 1)*(q + 1)*(3*q - 1)
Let o be -6 - 9/((-45)/50). Suppose 1/7*q**5 - 8/7*q**2 - q + 2/7*q**o - 2/7 - 2/7*q**3 = 0. What is q?
-1, 2
Suppose 33 - 9 = -4*k - 4*q, -2 = k + 3*q. Let d = k - -11. Determine g, given that -2/7*g**d + 2/7*g + 0*g**2 + 0 = 0.
-1, 0, 1
Let x(a) be the first derivative of -3*a**4/4 + 2*a**3/3 + 3*a**2/2 - 2*a - 3. What is n in x(n) = 0?
-1, 2/3, 1
Let c(z) = 16*z - 62. Let g be c(4). Determine s so that 0*s + 2/9*s**3 + 2/9*s**g + 0 = 0.
-1, 0
Suppose 0 = -2*k + 5*k - 12. Let c(w) = 3*w - 6. Let j be c(4). Factor j*m**3 + 2*m**4 - 2*m**2 + 2*m**5 - m**4 - 7*m**k.
2*m**2*(m - 1)**3
Suppose -4*n = 39 - 39. Factor 0*w + 2/7*w**3 + 0*w**2 - 2/7*w**5 + n*w**4 + 0.
-2*w**3*(w - 1)*(w + 1)/7
Let i(x) = -x**2 + 6*x - 3. Let p be i(7). Let l be (5/(-20))/(p/16). Determine z so that -4/5 + 2/5*z**4 + 2*z - l*z**3 - 6/5*z**2 = 0.
-2, 1
Let w(r) = -2*r**4 - 6*r**3 + 10*r**2 + 10*r - 8. Let z(h) = 2*h**4 + 6*h**3 - 11*h**2 - 9*h + 7. Let p(l) = 5*w(l) + 4*z(l). Solve p(x) = 0.
-3, -2, 1
Find y, given that -1/7*y**3 + 1/7*y**2 + 0*y + 0 = 0.
0, 1
Factor 2*s**4 + 0 + s**2 - 7/2*s**3 + 1/2*s.
s*(s - 1)**2*(4*s + 1)/2
Let i(z) = 50*z - 19. Let x be i(10). Let r be x/273 + (-1)/3. Let -6/7*k**2 + r*k - 4/7 = 0. Calculate k.
2/3, 1
Let o(z) = -6*z**3 + 15*z**2 + 4*z - 6. Let r(m) = -m**3 + 3*m**2 + m - 1. Let g(s) = -6*o(s) + 33*r(s). Let g(t) = 0. What is t?
-1
Factor -2*d**3 + 4/3*d**2 + 0*d + 0 + 2/3*d**4.
2*d**2*(d - 2)*(d - 1)/3
Let m = 10/117 + 536/117. Let g = m + -64/15. Factor g*j**3 + 2/5*j + 0 + 4/5*j**2.
2*j*(j + 1)**2/5
Solve -7*v - 24 + 3*v + 4*v**2 - 7*v - 9*v = 0 for v.
-1, 6
Let c = -1 - -4. Suppose -3*r = -z + 17, 3*r - 8*r = 5*z + 15. Suppose -5/3*v**z + 0 + 1/3*v + 2*v**c = 0. Calculate v.
0, 1/3, 1/2
Let c(l) = 95*l**3 + 60*l**2 - 155*l - 35. Let r(o) = 8*o**3 + 5*o**2 - 13*o - 3. Let n(f) = -3*c(f) + 35*r(f). Find v, given that n(v) = 0.
-2, 0, 1
Suppose -3*z + 18 = 5*w + z, 3*w - 4*z - 30 = 0. Suppose -o + 0*o + w = 0. Solve -2*v - 2*v**2 - 2*v + o*v = 0.
0, 1
Let n(s) be the first derivative of -s**3 + 3*s**2/2 + 6*s + 11. Let n(f) = 0. What is f?
-1, 2
Let p(r) = -r**3 + 3*r**2 + 4*r. Let k be p(4). Let v(n) = -n**3 + 3*n**2 + 2. Let j be v(3). Factor 0 + k*m + 2/7*m**j.
2*m**2/7
Let c(g) be the third derivative of g**8/1512 - g**7/945 - g**6/270 + g**5/135 + g**4/108 - g**3/27 - 7*g**2. What is t in c(t) = 0?
-1, 1
Let f(x) be the first derivative of 3/7*x**2 - 6/7*x**3 + 6/35*x**5 + 1/14*x**4 + 4/7*x - 4. Let f(s) = 0. What is s?
-2, -1/3, 1
Factor 3*l**2 - 2*l + 2*l - 2*l**2.
l**2
Let l(i) = i + 13. Let f be l(-11). What is h in -3*h**3 + h**3 + 2*h + 2*h**4 - h**f - h**2 = 0?
-1, 0, 1
Let z(o) = -o**2 + 3*o + 2. Let g be z(3). Let v(q) = -2*q + 20. Let r be v(10). Determin