et z(j) = 32*p(j) + 3*s(j). Factor z(u).
-4*(u - 1)**3*(u + 1)
Let -8/3*h + 0 - 14*h**3 - 4/3*h**5 - 22/3*h**4 - 32/3*h**2 = 0. Calculate h.
-2, -1, -1/2, 0
Factor -7*w**3 + 26*w**4 - 9*w**3 - 16*w**2 - 22*w**4 + 4*w**5.
4*w**2*(w - 2)*(w + 1)*(w + 2)
Let a(h) = -11 - 1 + 3 + 9*h**2 - 5*h. Let r = 1 - -4. Let x(t) = 4*t**2 - 2*t - 4. Let k(s) = r*x(s) - 2*a(s). Factor k(q).
2*(q - 1)*(q + 1)
Let b = 160/33 - 24/11. Let j be (-20)/(-12) - 2/2. What is q in j*q - b*q**2 + 14/9*q**3 + 4/9 = 0?
-2/7, 1
Let y be 3/(-1 + (-11)/(-8)). Suppose 0 = 5*p - 7 - y. Suppose -2/5*c**4 + 2/5*c**2 + 2/5*c**5 - 6/5*c**p + 4/5*c + 0 = 0. What is c?
-1, 0, 1, 2
Factor 4*a + 2 - 6*a**2 + 0*a - 5*a + 5*a**2.
-(a - 1)*(a + 2)
Let o(s) = -s**3 - 10*s**2 + 11*s. Let n be o(-11). Factor -2/7*u**4 + n + 0*u + 2/7*u**2 - 2/7*u**5 + 2/7*u**3.
-2*u**2*(u - 1)*(u + 1)**2/7
Factor 12/7*z + 6/7*z**2 - 9/7 + 3/7*z**4 - 12/7*z**3.
3*(z - 3)*(z - 1)**2*(z + 1)/7
Let f(v) be the first derivative of 2 - 2*v**3 - 4*v + 2*v**3 - v**2 + 2*v**3. Determine c so that f(c) = 0.
-2/3, 1
Let h = -23 - -23. Let u(t) be the second derivative of 1/12*t**4 - 2*t + 1/20*t**5 + 0 + 1/90*t**6 + 1/18*t**3 + h*t**2. Let u(k) = 0. What is k?
-1, 0
Let i be ((-48)/(-2))/(5/(-10)). Let c be (27/i)/(3/(-4)). Suppose 3/4*j**2 + 3/4*j - 3/4*j**3 - c = 0. Calculate j.
-1, 1
Suppose 0 = -5*d, 3*z + 3*d - 50 = -8. Let o be (-6)/z + (-275)/(-462). Find k such that o*k**2 + 0 - 1/3*k + 19/6*k**4 + 7/6*k**5 + 5/2*k**3 = 0.
-1, 0, 2/7
Let w(k) be the first derivative of -5*k**3/3 - 20*k**2 - 80*k - 25. Factor w(b).
-5*(b + 4)**2
Let x be 88/(-55)*10/(-4). Let t be 7 + -2 + 0/x. Let 0*y + 9/2*y**3 + 9/2*y**4 + 3/2*y**t + 3/2*y**2 + 0 = 0. Calculate y.
-1, 0
Let o(z) = z**2 - 2*z**2 + z - 6*z - 4. Let g be o(-3). Factor 0 + 1/2*k**g + 1/2*k**3 + 0*k.
k**2*(k + 1)/2
Suppose 0 = 4*l - 7*l. Let v be 5*(4/10 - l). Suppose -1/2*o + 1/4*o**3 + 0 - 1/4*o**v = 0. What is o?
-1, 0, 2
Let d(w) = w**2 + 2*w. Let y be d(-4). Let h be 2/(-7) + 2/7. Factor y*f**3 - 1 + 0*f**2 + h*f**2 + 3 - 6*f.
2*(f + 1)*(2*f - 1)**2
Let o(c) be the second derivative of 1/3*c**7 + 2*c + 5*c**3 - 2*c**6 - 2*c**2 + 5*c**5 - 20/3*c**4 + 0. Let o(b) = 0. What is b?
2/7, 1
Suppose 15/4*o**4 + 0 + 9/4*o**2 + 0*o + 3/4*o**5 + 21/4*o**3 = 0. What is o?
-3, -1, 0
Let q = -394850 + 138197407/350. Let t = 1/50 - q. Determine l so that -2/7*l**2 + t*l + 0 = 0.
0, 1
Let j(q) = 2*q**2 - 15*q. Let u(x) = 3*x**2 - 15*x. Let b(k) = -2*j(k) + 3*u(k). Solve b(v) = 0 for v.
0, 3
Suppose 11*b = 5*b. Let j(y) be the second derivative of 0*y**2 + 1/30*y**6 - 1/20*y**5 + 3*y + 0 + b*y**3 - 1/12*y**4 + 1/42*y**7. Factor j(g).
g**2*(g - 1)*(g + 1)**2
Let v(l) be the third derivative of l**6/240 + l**5/60 - 7*l**4/48 + l**3/3 - 4*l**2. Factor v(h).
(h - 1)**2*(h + 4)/2
Let i = -1 + 5. Suppose -n - 4*q + q = 3, 4*n - q = 14. Solve -4*j**3 - 5*j**2 - 3*j**n + 3*j**5 + i*j**3 + 2*j**2 + 3*j**4 = 0 for j.
-1, 0, 1
Let z(h) = -80*h**3 + 230*h**2 + 12*h - 41. Let r(k) = -81*k**3 + 231*k**2 + 12*k - 42. Let t(v) = 5*r(v) - 6*z(v). Factor t(q).
3*(q - 3)*(5*q - 2)*(5*q + 2)
Factor 0*k**2 - 4/11 + 6/11*k - 2/11*k**3.
-2*(k - 1)**2*(k + 2)/11
Let c(w) be the third derivative of w**6/30 - w**5/3 + 4*w**4/3 - 8*w**3/3 - 20*w**2. Let c(s) = 0. Calculate s.
1, 2
Suppose -4*g - g + 3*p - 15 = 0, g + 2*p = 10. Let f be (-16)/6 + g + 3. Factor -2/3*d**3 - f*d**5 - 2/3*d**2 + d**4 + d - 1/3.
-(d - 1)**4*(d + 1)/3
Find l such that -1676 + 11801 + 48*l**2 + 2025*l + 87*l**2 + 3*l**3 = 0.
-15
Let m(s) be the first derivative of 1/12*s**4 + 1/6*s + 2 - 1/10*s**5 - 1/4*s**2 + 1/9*s**3 + 1/36*s**6. Solve m(q) = 0.
-1, 1
Let g(d) = -3*d**2 - 5. Let q(p) = p**2 + 1. Let v(z) = -g(z) - 4*q(z). Let v(c) = 0. Calculate c.
-1, 1
Let u(l) = l + 1. Let d(v) = -2*v**2 - 14*v - 12. Let o(j) = j**3 - 3*j**2 - j + 4. Let k be o(3). Let x(a) = k*d(a) + 12*u(a). Factor x(b).
-2*b*(b + 1)
Let f(p) be the second derivative of p**6/270 + p**5/90 + p**4/108 - 2*p. Factor f(t).
t**2*(t + 1)**2/9
Let t(d) be the first derivative of 0*d**2 + 9/16*d**4 + 1/2*d**3 - 7 + 0*d - 3/4*d**5. Factor t(s).
-3*s**2*(s - 1)*(5*s + 2)/4
Let j(y) = 25*y**2 - 20*y - 15. Let w(p) = -p**2 + p + 1. Let q(h) = -j(h) - 30*w(h). What is m in q(m) = 0?
-1, 3
Let d(x) be the third derivative of x**9/30240 - x**7/2520 - x**5/60 - x**2. Let f(v) be the third derivative of d(v). Let f(n) = 0. What is n?
-1, 0, 1
Let k(m) = -5*m**5 - 9*m**4 - 3*m**3 - m**2 - 6. Let f(j) = 4*j**5 + 8*j**4 + 2*j**3 + j**2 + 5. Let t(n) = 6*f(n) + 5*k(n). Let t(l) = 0. Calculate l.
0, 1
Let d(j) be the first derivative of j**4/48 + j**3/8 + j**2/4 - 10*j + 5. Let o(l) be the first derivative of d(l). What is u in o(u) = 0?
-2, -1
Let y(q) be the third derivative of q**9/136080 - q**8/30240 + q**7/22680 - q**5/20 - 4*q**2. Let s(h) be the third derivative of y(h). Solve s(n) = 0 for n.
0, 1/2, 1
Let g(b) be the second derivative of -b**7/189 + 4*b**6/135 - 2*b**5/45 - b**4/27 + 5*b**3/27 - 2*b**2/9 + b. Find s such that g(s) = 0.
-1, 1, 2
Suppose 4*c + 3*k = 7*k + 36, -3*c - k + 15 = 0. Let b be 2/(-3) - (-4)/c. Determine g so that -5/2*g**4 + 5/2*g**2 - g**3 + g + b = 0.
-1, -2/5, 0, 1
Factor 1 - 1/2*i**2 + 1/2*i.
-(i - 2)*(i + 1)/2
Let v be -1 + 8 + -3 + 3. Suppose 0 = -v*o + 4*o + 12. Factor o - 4 + 2*a**2 + 2*a.
2*a*(a + 1)
Let k(a) be the first derivative of -2*a**6/3 - 9*a**5/5 + a**4/2 + 3*a**3 + a**2 + 17. Find q such that k(q) = 0.
-2, -1, -1/4, 0, 1
Suppose 0 = -u - 7 + 8. Let p(j) be the first derivative of -1/3*j**3 - 1/8*j**4 - 1/4*j**2 + u + 0*j. Factor p(z).
-z*(z + 1)**2/2
Let j(g) be the second derivative of -g**7/14 - g**6/10 + 3*g**5/20 + g**4/4 - 6*g. Determine q so that j(q) = 0.
-1, 0, 1
Let n = -18 - -21. Determine s, given that 0*s**2 + 1/3*s**4 + 0*s**n + 0 + 0*s = 0.
0
Let x(u) be the third derivative of -u**9/15120 + u**8/8400 + u**7/2100 + 2*u**3/3 - 4*u**2. Let y(m) be the first derivative of x(m). Solve y(o) = 0 for o.
-1, 0, 2
Let b(n) = -n**2 + 6*n + 12. Let h = 20 - 13. Let m be b(h). Suppose 10*f**4 + 12/5*f**3 + 0*f - 8/5*f**2 + 21/5*f**m + 0 = 0. What is f?
-2, -2/3, 0, 2/7
Let b(z) = -z**2 + 3*z + 4. Let x(i) = 2*i**2 - 5*i - 7. Suppose -2 = 2*j - 5*o - 1, -5*o - 5 = 0. Let v(d) = j*x(d) - 5*b(d). Factor v(t).
-(t - 1)*(t + 1)
Let b(w) be the first derivative of -1/2*w**4 + 1 - 4/5*w**5 + 0*w**3 + 0*w + 0*w**2 - 1/3*w**6. Factor b(t).
-2*t**3*(t + 1)**2
Suppose 0*k + 4*k + 4 = 2*l, -5*k = -l - 1. Let g(w) be the second derivative of 0*w**2 + 2*w + 1/6*w**l + 0 - 1/3*w**3. Find z, given that g(z) = 0.
0, 1
Let h(j) be the second derivative of 0*j**2 + 0 - 1/168*j**7 - 3*j - 1/120*j**6 + 1/80*j**5 + 0*j**3 + 1/48*j**4. Let h(c) = 0. What is c?
-1, 0, 1
Let t(y) be the first derivative of 6*y**5/5 + 4*y**4/7 - 50*y**3/21 - 8*y**2/7 + 8*y/7 - 2. Find z such that t(z) = 0.
-1, -2/3, 2/7, 1
Let z(v) be the first derivative of v**7/35 - 2*v**6/15 + 7*v**5/30 - v**4/6 + 3*v**2/2 - 4. Let g(h) be the second derivative of z(h). Factor g(b).
2*b*(b - 1)**2*(3*b - 2)
Let y(c) be the second derivative of -c**10/20160 - c**9/5040 + c**7/840 + c**6/480 - c**4/12 - 3*c. Let l(w) be the third derivative of y(w). Factor l(x).
-3*x*(x - 1)*(x + 1)**3/2
Let s(u) be the third derivative of u**8/80640 + u**7/10080 + u**6/2880 + u**5/15 - 3*u**2. Let j(y) be the third derivative of s(y). Factor j(l).
(l + 1)**2/4
Suppose 3*k = 21*q - 22*q + 2, -k - 4*q = 14. Find c, given that 1/4 + 5*c**3 + 0*c + c**5 - 15/4*c**4 - 5/2*c**k = 0.
-1/4, 1
Let y be ((-1820)/15)/(-1) + -4. Factor -108*g**4 + 18*g**5 - 64/3 + 240*g**3 - 736/3*g**2 + y*g.
2*(g - 2)**2*(3*g - 2)**3/3
Let l(i) be the third derivative of 1/24*i**4 - 8*i**2 + 0*i + 0*i**3 + 0 - 1/120*i**6 - 1/105*i**7 + 1/30*i**5. Factor l(g).
-g*(g - 1)*(g + 1)*(2*g + 1)
Let l be (-120)/(-66) + 2/11. Let h(y) be the second derivative of -1/2*y**l - 1/20*y**5 + 0 + 1/6*y**3 + 1/12*y**4 - 3*y. Suppose h(i) = 0. What is i?
-1, 1
Let h(l) be the third derivative of 2*l**3 + 0 - 3/2*l**4 - 3*l**2 + 1/4*l**5 + 0*l. Factor h(t).
3*(t - 2)*(5*t - 2)
Let w(u) be the first derivative of 2*u**5/5 + 23*u**4/14 + 18*u**3/7 + 13*u**2/7 + 4*u/7 - 6. Solve w(p) = 0 for p.
-1, -2/7
Suppose -5 = -j, -2*k - 2*j = -3*k