d derivative of o**8/784 + o**7/490 - o**6/280 - o**5/140 - 47*o**2. Solve s(x) = 0.
-1, 0, 1
Suppose -c + 2 = d, -2*c - 26 = -4*d + 3*c. Let v be d/(-8) - 3/(-4). Factor v + 3/2*g**2 - g - g**3 + 1/4*g**4.
(g - 1)**4/4
Suppose 3*v - 15 = -2*v. Let t(c) = 6 + 8*c - v + 5*c**2 + 3 - 6*c**2. Let y(n) = n**2 - 7*n - 5. Let m(o) = -5*t(o) - 6*y(o). Let m(b) = 0. Calculate b.
0, 2
Let 5/6*c + 5/6*c**2 + 0 = 0. Calculate c.
-1, 0
Let i(x) = 10*x**2 - 4. Let z(f) = f**2 - 1. Let m(s) = i(s) - 12*z(s). Suppose m(g) = 0. What is g?
-2, 2
Let f(h) be the third derivative of -h**7/315 + h**6/36 - 2*h**5/45 - 10*h**2. Factor f(w).
-2*w**2*(w - 4)*(w - 1)/3
Let p(l) = 13*l**3 - 45*l**2 + 64*l - 37. Let m(c) = -19*c**3 + 67*c**2 - 96*c + 55. Let u(n) = 5*m(n) + 7*p(n). Factor u(t).
-4*(t - 2)**2*(t - 1)
Factor -4/3*a**3 + 0 - 4/9*a**4 - 4/9*a - 4/3*a**2.
-4*a*(a + 1)**3/9
Suppose 16*g - 16 = 12*g. Let x(p) be the second derivative of 0*p**3 - 2*p - 1/100*p**5 + 0*p**g + 0*p**2 + 0. Factor x(a).
-a**3/5
Suppose u**3 - 2 + 621*u**2 + 2 - 623*u**2 + u = 0. What is u?
0, 1
Let -2/3*o**4 - 4/3*o**3 + 2/3*o - 2/3 + 4/3*o**2 + 2/3*o**5 = 0. Calculate o.
-1, 1
Let h(l) = -l**2 + 7*l - 10. Let q be h(4). Let s = 14/3 - 19/6. Solve -1 + s*v - 1/2*v**q = 0.
1, 2
Let q(x) be the second derivative of -x**7/21 + 11*x**6/15 - 17*x**5/5 + 23*x**4/3 - 29*x**3/3 + 7*x**2 - 2*x - 5. Factor q(k).
-2*(k - 7)*(k - 1)**4
Let d(v) = -v**2 + 3*v + 2. Let k be (-1)/2 + 14/4. Let l be d(k). Factor 3*h**2 - h**2 - h**l - 2*h**2 + h.
-h*(h - 1)
Suppose -2/13*r**3 + 2/13*r**2 - 8/13 + 8/13*r = 0. What is r?
-2, 1, 2
Factor 1/5*p**3 - 1/5*p**2 - p - 3/5.
(p - 3)*(p + 1)**2/5
Let z(k) = 4*k**4 - 20*k**3 + 24*k**2 + 20*k - 28. Let n(m) = m**2 - 1. Let w(t) = 12*n(t) - z(t). Factor w(x).
-4*(x - 4)*(x - 1)**2*(x + 1)
Let d = 190 - 565/3. Find r such that -1/3 + r + d*r**3 + 3*r**2 = 0.
-1, 1/5
Suppose -h**2 + h**3 + 9*h**4 - 4*h**3 - 2*h**2 + 3*h - 6*h**4 = 0. What is h?
-1, 0, 1
Factor 0*i**4 + 0 + i**3 - 1/2*i - 1/2*i**5 + 0*i**2.
-i*(i - 1)**2*(i + 1)**2/2
Let t(p) = p**3 - 4*p**2 - 4*p - 3. Let n be t(5). Determine l, given that -2*l - 2*l**4 - 2 + 4*l**n + 0*l + 2*l = 0.
-1, 1
Suppose 0 = s - 3*q - 1 - 0, 2*s - 6 = 2*q. Let u(r) be the first derivative of -4/3*r - 1/6*r**s + 0*r**3 - 4 + r**2. Factor u(k).
-2*(k - 1)**2*(k + 2)/3
Let y(r) = r**3 - 2*r**2 + 4*r - 1. Let p be y(3). Let h = -96/5 + p. Factor h*d**2 + 0 - 2/5*d.
2*d*(2*d - 1)/5
Let s be 2302/(-14) + (-1 - -2). Let o = s - -164. Factor 0 + o*r - 2*r**2.
-2*r*(7*r - 2)/7
Let v(r) be the second derivative of -r**4/66 - r**3/33 + 5*r. Factor v(f).
-2*f*(f + 1)/11
Find j, given that 2/9*j**3 + 4/9*j**2 + 0 + 2/9*j = 0.
-1, 0
Find v, given that 4*v**4 - 22*v - 9*v**5 + 27*v**3 + 10*v + 2*v**4 = 0.
-1, 0, 2/3, 2
Let i(l) be the third derivative of l**7/70 + l**6/20 - l**5/20 - l**4/4 + 29*l**2. Factor i(h).
3*h*(h - 1)*(h + 1)*(h + 2)
Let t(p) = p**4 + p**2. Let f(o) = -3*o - 1. Let n be f(-1). Let l(c) = 3*c**3 + 5*c**2 - n*c**3 + 12*c**4 - 3*c**3. Let d(v) = l(v) - 5*t(v). Factor d(q).
q**3*(7*q - 2)
Let r = 611/2 + -305. Determine q so that 3/4*q - 1/4*q**2 - r = 0.
1, 2
Let c(z) be the third derivative of -1/180*z**5 + 2*z**2 + 0*z + 0 + 0*z**3 + 1/36*z**4. Factor c(m).
-m*(m - 2)/3
Let t be (8/(-72))/((-1)/4). Factor 2/9*p + 0 - t*p**3 + 2/9*p**2.
-2*p*(p - 1)*(2*p + 1)/9
Let k be (-3)/(-2) + (-27)/6. Let n be (-33)/(-6) - (k + 7). Factor 7/2*q**3 + 1 - 6*q**2 + n*q.
(q - 1)**2*(7*q + 2)/2
Let z(y) = y**3 + y**2 - y - 1. Let p(w) = -7*w**3 - 12*w**2 + 22*w + 42. Let f(q) = -p(q) - 2*z(q). Factor f(d).
5*(d - 2)*(d + 2)**2
Let y be 13 + 157 - (0 + -1). Let v be y/45 + -3*1. Factor 2/5*n**2 + 2/5*n - v.
2*(n - 1)*(n + 2)/5
Let v = -661/9 + 227/3. Let p(l) be the second derivative of v*l**3 + 8/3*l**2 - 3*l + 0 + 7/9*l**4 + 1/10*l**5. Factor p(y).
2*(y + 2)**2*(3*y + 2)/3
Suppose -d = 4*d - 155. Suppose -3*o + d = 5*r, -r + 9 = 3*o - 2. Factor 4*u**3 - o*u**2 + u + 2*u**3 - 5*u**3.
u*(u - 1)**2
Let k = 76 - 72. Let s(x) be the first derivative of -k + x + 25/12*x**3 - 5/2*x**2. Factor s(j).
(5*j - 2)**2/4
Let o = -4 + 6. Suppose 0 = -o*w + 2*r + 14, 0*w + r = 3*w - 15. Determine v so that 2/7*v**5 - 4/7*v**w + 4/7*v**2 - 2/7*v + 0*v**3 + 0 = 0.
-1, 0, 1
Let v(j) = -4*j**2 - 42*j - 48. Let p(w) = -2*w**2 - 20*w - 24. Let f(d) = -14*p(d) + 6*v(d). Factor f(t).
4*(t + 3)*(t + 4)
Suppose 2*p - 96 = -p. Let z = p - 29. Factor 0 - 3/2*k**2 + 1/2*k - 1/2*k**z + 3/2*k**4.
k*(k - 1)*(k + 1)*(3*k - 1)/2
Let u(p) = -p + 15. Let i be u(12). Suppose -i = -3*y + 2*y - l, 0 = 5*y - 3*l - 23. Solve 4/3*b**3 - 2/3*b**y + 2/3 - 4/3*b + 0*b**2 = 0.
-1, 1
Let x be 8/(-28) + 12/140 + 1. Solve x*z - 2/5 - 2/5*z**2 = 0.
1
Determine g, given that 10/3*g**2 + 2 + 14/3*g + 2/3*g**3 = 0.
-3, -1
Let g(b) be the first derivative of -10*b**6/3 + 12*b**5/5 + 12*b**4 + 16*b**3/3 + 4. Suppose g(s) = 0. Calculate s.
-1, -2/5, 0, 2
Let k(r) be the first derivative of -3*r**3 - r**2 + 0*r - 7 - 7/4*r**4. Find d such that k(d) = 0.
-1, -2/7, 0
Let x(q) = -2*q - 4. Let c be x(-3). Let n be 1/c + (2 - 2). Find w such that 0 + 0*w - n*w**5 + 1/2*w**4 + 1/2*w**3 - 1/2*w**2 = 0.
-1, 0, 1
Let m = -1 - -3. Solve 3*f**m - 3*f**3 - 2*f + 2*f**2 + 0*f**2 - 5*f**4 + 5*f**3 = 0 for f.
-1, 0, 2/5, 1
Let q(w) be the first derivative of -3*w**5/35 + 3*w**4/28 + w**3/7 - 3*w**2/14 + 17. Factor q(z).
-3*z*(z - 1)**2*(z + 1)/7
Let o(k) be the first derivative of k**5/90 - k**4/27 + k**3/27 - 2*k + 1. Let c(b) be the first derivative of o(b). Suppose c(i) = 0. What is i?
0, 1
Let z(w) be the third derivative of 0*w + 1/210*w**7 - 1/60*w**6 + 0*w**4 + 0*w**3 + 2*w**2 + 0 + 1/60*w**5. Let z(h) = 0. Calculate h.
0, 1
Let v(d) = -12*d**2 - d + 1. Let b be v(1). Let m be 2/b - 13/(-6). What is t in t**4 - 2*t + 0*t**4 - m*t**2 + t**4 + 2*t**3 = 0?
-1, 0, 1
Let v(z) be the second derivative of z**6/30 - z**4/12 - 5*z. Factor v(m).
m**2*(m - 1)*(m + 1)
Let f(y) be the third derivative of -1/84*y**4 + 0*y - 2*y**2 + 2/21*y**3 + 0 - 1/210*y**5. What is z in f(z) = 0?
-2, 1
Let a(l) be the third derivative of 0*l**3 + 0*l + 0*l**6 + 0 - 2*l**2 - 1/10*l**5 + 1/105*l**7 + 1/6*l**4. What is d in a(d) = 0?
-2, 0, 1
Let k(j) = 20*j**4 - 26*j**3 - 8*j**2 + 14*j + 14. Let v(a) = 7*a**4 - 9*a**3 - 3*a**2 + 5*a + 5. Let m(w) = -5*k(w) + 14*v(w). Let m(g) = 0. What is g?
0, 1
Let q(w) = w + 3. Let r be q(-7). Let v(d) = d**3 + 3*d**2 - 4*d + 2. Let j be v(r). Determine m, given that 0*m - 2*m**2 - 3 - 2*m**3 + 2*m + 4*m**j + 1 = 0.
-1, 1
Let h(x) = -x + 1. Let r(k) = k**2 - 2*k + 2. Let t(w) = -2*h(w) + r(w). Suppose t(d) = 0. Calculate d.
0
Let j = 27 + -11. Let u = 49/3 - j. Solve 0 + u*a + 5/3*a**2 + 4/3*a**3 = 0 for a.
-1, -1/4, 0
Let v be (-2)/(-30)*2/10. Let w(u) be the second derivative of 0 - 1/50*u**5 + u + 1/30*u**4 + 1/105*u**7 - v*u**6 + 0*u**2 + 0*u**3. Factor w(l).
2*l**2*(l - 1)**2*(l + 1)/5
Suppose -2*k + 6*h + 6 = h, 0 = 4*k + 2*h + 12. Let a be (3 + -3 + k)*-2. Find l such that 2/5*l + 0 + 0*l**3 - 4/5*l**a + 4/5*l**2 - 2/5*l**5 = 0.
-1, 0, 1
Let a(t) = 10*t**3 - 10*t**2 - 275*t - 120. Let c(f) = f**3 - f**2 - 25*f - 11. Let l(s) = 4*a(s) - 45*c(s). Determine m, given that l(m) = 0.
-1, 3
Let x(p) = p**2 - 7*p + 8. Let b be x(6). Factor 0*n**2 - b*n**2 - n**2 + 8 + n**2 - 8*n + 2*n**3.
2*(n - 2)*(n - 1)*(n + 2)
Let x(n) be the first derivative of -n**3/2 - 3*n**2/2 - 3*n/2 + 7. Suppose x(d) = 0. What is d?
-1
Suppose -4*v - 4*y = 0, -6 = 5*y + 4. Let -14*a + 6*a - 32*a**4 + 36*a**5 - 22*a**3 - 6*a**5 + 32*a**v = 0. What is a?
-1, 0, 2/5, 2/3, 1
Suppose 9*g - 3*g = 6. Let n(z) be the first derivative of -2*z + 2*z**2 - g - 2/3*z**3. Factor n(h).
-2*(h - 1)**2
Let k(s) be the second derivative of -2*s**7/21 + 8*s**6/15 - 4*s**5/5 - 2*s**4/3 + 10*s**3/3 - 4*s**2 - s. Factor k(r).
-4*(r - 2)*(r - 1)**3*(r + 1)
Let t(j) = j**3 - j**2 - j + 3. Let r(b) = b**3 - b**2 - b + 4. Let u(m) = -4*r(m) + 6*t(m). Factor u(o).
2*(o - 1)**2*(o + 1)
Suppose 18 = 4*g - 5*f - 0, -g = -2*f - 6. Let j be 8/3 + g/(-3). Find c such that 5 - 2*c + c**2 - 2*c + c**j - 3 = 0.
1
Let j(r) be the third derivative of r**7/945 - r**5/270 + 11*r**2. Factor j(a).
2*a**2*(a - 1)*(a + 1)/9
Determine k, given that 3/