- 9*g - 8. Let v(i) = -3*o(i) - 8*p(i). Let v(t) = 0. Calculate t.
-1, 0, 1
Let c(y) = -6*y**2 + 6*y. Let d(n) be the second derivative of n**4/12 - n**3/6 - 3*n. Let i(v) = -3*c(v) - 21*d(v). Factor i(r).
-3*r*(r - 1)
Let f = -15 - -22. Determine w, given that -f*w**5 + 8*w**5 - 16*w**4 + 3*w**5 + 16*w**3 = 0.
0, 2
Let t = -1/30 - -1/5. Let v(j) be the second derivative of 5/84*j**7 + j - t*j**3 - 13/60*j**6 + 1/24*j**4 + 0 + 0*j**2 + 9/40*j**5. Solve v(w) = 0 for w.
-2/5, 0, 1
Let s = 36 - 33. Let l(v) be the first derivative of -1/4*v**4 - v - 3/2*v**2 - v**s - 1. Let l(w) = 0. What is w?
-1
Let k(s) be the second derivative of -1/18*s**4 - 2/3*s**2 + 0 - 5*s - 1/3*s**3. Factor k(p).
-2*(p + 1)*(p + 2)/3
Suppose -5*i + 2*n + 75 = -n, n = 5*i - 65. Suppose -i = -5*r + r. Solve -5*c + 2*c**2 + 2*c**3 + 4*c**2 - 2 - 4*c**4 + r*c = 0 for c.
-1, -1/2, 1
Let k(x) be the second derivative of -x**6/2340 - x**5/390 + 2*x**3/3 + 2*x. Let s(d) be the second derivative of k(d). Let s(u) = 0. Calculate u.
-2, 0
Let j be ((-8)/(-5))/((-1)/5). Let i(v) = -v**2 - 7*v + 9. Let d be i(j). Factor -2*a - a**4 - 3*a**3 + d + 4*a + a**3.
-(a - 1)*(a + 1)**3
Let k(l) be the first derivative of -3*l**5/4 - 9*l**4/4 - 9*l**3/4 - 3*l**2/4 - 2. Factor k(s).
-3*s*(s + 1)**2*(5*s + 2)/4
Let l = 10 - 16. Let a = l - -10. Factor 1/2*s**2 - 1/2*s**5 + 0*s + 0 + 3/2*s**a - 3/2*s**3.
-s**2*(s - 1)**3/2
Let z(n) = -n - 6. Let s(a) = a**3 - 9*a**2 - 9*a - 16. Let w be s(10). Let o be z(w). Factor o - 1/2*m**2 + m.
-m*(m - 2)/2
Let b = 121 + -116. Find q, given that 0 + 4/9*q - 2/9*q**b - 2/9*q**4 + 2/3*q**3 + 10/9*q**2 = 0.
-1, 0, 2
Let r(j) = 11*j**2 + 4*j - 1. Let s(m) = 9*m**2 + 4*m. Let y(a) = -4*r(a) + 5*s(a). Solve y(b) = 0 for b.
-2
Let z be ((-2)/6)/(24/(-18)). Let l = -34 + 137/4. Determine y so that z*y**2 - l - 1/4*y + 1/4*y**3 = 0.
-1, 1
Let s(b) = 7*b**4 + 6*b**3 - 7*b**2 - 6*b. Let r(y) = 5*y**2 - 6*y**2 - y + y**3 - y**4 + 2*y**4. Let i(a) = -6*r(a) + s(a). Suppose i(j) = 0. Calculate j.
-1, 0, 1
Let p(q) = q**2 - 6*q + 5. Let b be p(5). Factor 7*y**5 - y**3 - 3*y**5 + y**2 + b*y**4 - y**4 - 3*y**5.
y**2*(y - 1)**2*(y + 1)
Let p(n) = -n**2 + n - 17. Let v be p(0). Let m(r) = 20*r**2 - 17*r + 14. Let q(d) = 7*d**2 - 6*d + 5. Let j(y) = v*q(y) + 6*m(y). Factor j(x).
(x - 1)*(x + 1)
Let y be ((-1)/3)/(17/(-204)). Let n(f) be the third derivative of f**2 + 0*f**3 + 0*f**5 + 1/60*f**6 + 0*f + 0 + 0*f**y. Let n(m) = 0. Calculate m.
0
Let y = -17 + 2. Let x be 6/((-55)/y + -1). Suppose x*o + 5/4*o**3 + 3*o**2 + 1/2 = 0. What is o?
-1, -2/5
Let y(t) be the first derivative of -5*t**4/4 - 25*t**3/3 - 10*t**2 - 6. Factor y(x).
-5*x*(x + 1)*(x + 4)
Let k be 1*(-628)/(-176) + (-6)/(-33). Suppose k*z**3 + 0 - 11/4*z**2 + 1/2*z = 0. What is z?
0, 1/3, 2/5
Let p = 4/2443 + 207631/14658. Solve p*x**3 - 25/2*x**4 + 4/3 - 6*x + 3*x**2 = 0.
-2/3, 2/5, 1
Let s(t) be the second derivative of -t**4/66 + t**2/11 - 7*t. Determine p so that s(p) = 0.
-1, 1
Let b = -2 - -5. Factor -3*o + o**2 + 4 - b*o + o**2.
2*(o - 2)*(o - 1)
Let b be (-5)/(-2)*12/15. Suppose -2*s + 45 = 3*k + b*k, -4*s + 65 = 5*k. Find z, given that z**2 - 10*z + s*z = 0.
0
Let g be 7/126*8 - 4/(-18). Determine o, given that 0*o**3 + g*o**2 + 0*o - 1/3*o**4 - 1/3 = 0.
-1, 1
Let x = 107 + -105. What is v in -1/4*v**x + 3/4*v - 1/2 = 0?
1, 2
Let d(z) be the third derivative of 2/21*z**3 + 0*z + 0 - 1/210*z**5 + 1/84*z**4 - z**2. Suppose d(m) = 0. Calculate m.
-1, 2
Solve -8/3*s**3 + 4/3 + 8*s**4 + 14/3*s**5 - 28/3*s**2 - 2*s = 0.
-1, 2/7, 1
Let t(k) = -k**2 + 8*k. Let o be t(8). Factor -4/5*n + 2/5*n**2 + 2/5*n**3 + o.
2*n*(n - 1)*(n + 2)/5
Let g(u) be the second derivative of -u**7 + 3*u**6/10 + 111*u**5/20 + 6*u**4 + 2*u**3 - 18*u. Suppose g(o) = 0. What is o?
-1, -1/2, -2/7, 0, 2
Let h be (-2)/8*0/(-6). Suppose 0 + 0*t**2 - 1/3*t**3 + h*t + 1/3*t**5 + 0*t**4 = 0. Calculate t.
-1, 0, 1
Factor -51*p**3 - 3 + 3*p**2 - 3*p + 4*p + 50*p**3.
-(p - 3)*(p - 1)*(p + 1)
Let p be 16/(-6)*4/(-4) - 2. Factor 4/3*t**2 - 4/3 - p*t**3 + 2/3*t.
-2*(t - 2)*(t - 1)*(t + 1)/3
Let v(j) = 5*j - 2*j - 4*j. Let n(u) = -2*u**2 - u. Let d(x) = n(x) - 5*v(x). Find k such that d(k) = 0.
0, 2
Let n(m) = 35*m**3 + 25*m**2 - 5*m - 40. Let f(v) = -9*v**3 - 6*v**2 + v + 10. Let h(q) = -15*f(q) - 4*n(q). Let h(l) = 0. Calculate l.
-2, -1, 1
Suppose 4*n - 4*c - 21 = 3, -4*n + 25 = -5*c. Suppose -n*r = -h - 21, -2*r + 10 = 5*h - 4*r. Determine s, given that 0 - 2/7*s**3 + 0*s + 0*s**2 + 2/7*s**h = 0.
0, 1
Let w(o) = -2*o**3 + 8*o**2 - 9*o + 4. Let v be w(4). Let c = -32 - v. Find q, given that 2/7*q**2 - 4/7*q + c = 0.
0, 2
Suppose 0 = 3*i + 3*w + 3, 3*i - 3*w - 2*w = 21. Let g(b) = b**2 - 2. Let f be g(-2). Factor -f*z**2 - 2*z - z**3 + z + 4*z**i.
-z*(z - 1)**2
Suppose 2*q + 11 = 3*m - 0*q, 3*m - 4*q = 13. Suppose m*x = -5 - 1, 3*x = -3*n. Let -4/3 - 1/3*c**3 + 0*c + c**n = 0. What is c?
-1, 2
Suppose 0 = 4*w - 0*w. Let x be w + -1 + (3 - -2). Factor -x - 2*j**2 + 5*j + j + 0*j.
-2*(j - 2)*(j - 1)
Let w = -334 - -1678/5. Let t = -1174/5 - -236. Solve t*l**2 - 8/5*l - w = 0 for l.
-2/3, 2
Find o such that 9/2*o**3 + 0*o + 3/2*o**5 + 9/2*o**4 + 0 + 3/2*o**2 = 0.
-1, 0
Find w such that 0*w + 0 + 0*w**2 - 3/5*w**3 - 3/5*w**4 = 0.
-1, 0
Factor -1/6*b**2 + 0 + 1/2*b.
-b*(b - 3)/6
Let h(m) = -17*m**3 - 9*m**2 + 29*m - 16. Let c(r) = 4*r**3 + 2*r**2 - 7*r + 4. Let d(v) = 26*c(v) + 6*h(v). Factor d(y).
2*(y - 2)*(y - 1)*(y + 2)
Let f(a) be the second derivative of a**5/160 + a**4/16 + 5*a**3/48 + 7*a. Factor f(o).
o*(o + 1)*(o + 5)/8
Let n be ((-6)/(-2) + 0)/((-357)/(-238)). Solve 2/5*j**n + 0*j + 0 = 0 for j.
0
Let v(p) = 23*p**3 - 120*p**2. Let s(x) = 8*x**3 - 40*x**2. Let f(l) = 8*s(l) - 3*v(l). Factor f(d).
-5*d**2*(d - 8)
Let u = 38/3 - 12. Find s, given that 0 + 4/3*s + u*s**2 = 0.
-2, 0
Let y(a) = a**3 + 4*a**2 - 3*a - 10. Let r be y(-4). Determine l, given that 0*l + 0*l**3 + 0*l**r + 0 + 2/3*l**4 - 2/3*l**5 = 0.
0, 1
Let v be (163/(-4))/((-21)/(-4)). Let i = 25/3 + v. Find x such that -2/7*x - 8/7*x**4 - 6/7*x**5 - i + 12/7*x**2 + 8/7*x**3 = 0.
-1, 2/3, 1
Let a = 5 - 2. Suppose -2*i + a = -1. Factor -i*y**5 - y**4 + y**5 + 0*y**5.
-y**4*(y + 1)
Factor 1/3*n**5 - n**4 + 2/3*n**3 + 2/3*n**2 + 1/3 - n.
(n - 1)**4*(n + 1)/3
Suppose 0 = -6*b + 5*b - 5. Let q(a) = -6*a**3 + 4*a**2 - 2*a + 4. Let z(c) = 7*c**3 - 4*c**2 + 2*c - 5. Let u(d) = b*q(d) - 4*z(d). Factor u(o).
2*o*(o - 1)**2
Let g be ((-6)/12)/(1 + (-10)/8). Suppose -8 = -5*q + q. Solve -3*j**2 + 2*j**q + j**3 - 2*j**3 + 0*j**g = 0.
-1, 0
Let w = -13098/7 - -1875. Determine r so that 6/7 + 3*r**2 - w*r = 0.
2/7, 1
Factor -3/4*b + 0 - 27/4*b**3 + 3*b**4 + 9/2*b**2.
3*b*(b - 1)**2*(4*b - 1)/4
Let j be (5 - 35/10)/((-17)/(-12)). Determine n so that 0*n - j*n**3 - 24/17*n**4 - 10/17*n**5 - 4/17*n**2 + 0 = 0.
-1, -2/5, 0
Let f(a) be the first derivative of 2*a**6/3 - 4*a**5/5 - 3*a**4 + 4*a**3/3 + 4*a**2 - 1. Suppose f(d) = 0. What is d?
-1, 0, 1, 2
Let l be (-10 - -9)/(1/2). Let z(m) = -3*m - 4. Let p be z(l). Factor 1/3*w + 0 - 1/3*w**3 + 0*w**p.
-w*(w - 1)*(w + 1)/3
Let j = 31801/60 + -530. Let y(h) be the third derivative of 0 - 4*h**2 + j*h**4 + 0*h + 1/75*h**5 - 1/15*h**3. Suppose y(b) = 0. What is b?
-1, 1/2
Let o = 3 - 2. Factor 0 - q**2 + 0*q**2 + 2*q - o.
-(q - 1)**2
Let s be 5 - (0 - 0/(-2)). Let w be s/3 - (1 - 0). Factor w*g + 0 + 2/3*g**2.
2*g*(g + 1)/3
Let n(a) be the third derivative of a**5/30 + a**4/6 - 6*a**2. Factor n(g).
2*g*(g + 2)
Factor -2/13*y**3 - 2*y**2 - 72/13 - 96/13*y.
-2*(y + 1)*(y + 6)**2/13
Let g = -13367 - -120521/9. Suppose -28*t**3 - 8/9 - 98/9*t**4 - g*t**2 - 8*t = 0. What is t?
-1, -2/7
Let i(w) = -3*w**3 - 2*w**2 + w + 2. Let l(x) = 4*x**3 + 2*x**2 - 2*x - 3. Let b(n) = 3*i(n) + 2*l(n). Factor b(t).
-t*(t + 1)**2
Suppose -2 = -d - 5*y, 2*d + 0*d - y - 4 = 0. Suppose 0 = -6*h + 2*h + 4*i + 16, 0 = -2*h - 2*i. Solve t + d*t**h - t = 0 for t.
0
Let c(t) = t**4 - t**3 + t**2 - t - 1. Let u(n) = -10*n**4 + 7*n**3 - 6*n**2 + 9*n + 11. Let b(p) = -44*c(p) - 4*u(p). Factor b(l).
-4*l*(l - 2)*(l - 1)**2
Let f(j) = 3*j**3 + 5*j**2. Let d(m) = 7*m**3 + 11*m**2 - m. Suppose 10 = b + 5*h, b - 4 = 3*b + 4*h. Let z(w) = b*f(w) + 4*d(w). Factor z(n).
-2*n*(n + 1)*(n + 2)
Le