.
-2, -1, -2/5
Factor 480/7*l + 750/7*l**3 + 150*l**2 + 72/7.
6*(5*l + 2)**2*(5*l + 3)/7
Suppose -2*q + 8 = 2. Factor 24*f + 4*f**2 + q + 30 + 5 - 2.
4*(f + 3)**2
Let m(v) = 10*v**3 + 82*v**2 + 876*v - 972. Let b(d) = -8*d**3 - 83*d**2 - 877*d + 971. Let h(s) = 4*b(s) + 3*m(s). Find f such that h(f) = 0.
-22, 1
Let f(l) = -15*l**5 - 68*l**4 - 81*l**3 - 15*l**2 + l - 1. Let a(r) = r**5 - r**3 + r**2 + r - 1. Let w(j) = -a(j) + f(j). Suppose w(n) = 0. What is n?
-2, -1/4, 0
Let l(r) be the second derivative of r**6/165 + r**5/11 + 25*r**4/66 - 3*r - 16. Factor l(k).
2*k**2*(k + 5)**2/11
Let t(a) be the second derivative of -3*a**5/160 + 123*a**4/32 - 5043*a**3/16 + 206763*a**2/16 + 501*a. Let t(z) = 0. What is z?
41
Determine n, given that -n**3 - 6 + 4*n**2 + 4 + 14 - 11*n - 9*n + 5*n**2 = 0.
1, 2, 6
Let b be ((-847)/(-21))/(-11)*(-8)/44. Let -7/3*q - b + 3*q**2 = 0. What is q?
-2/9, 1
Let y be (-2 + 32/14)*1. Let n be ((14/(-49))/((-75)/(-200)))/((-4)/6). Find p, given that 0*p - n*p**3 - y*p**4 + 0 - 8/7*p**2 = 0.
-2, 0
Let m(d) = -2*d**2 + 16*d. Let b be m(0). What is i in -1/3*i + b + 1/3*i**2 = 0?
0, 1
Factor -26/15 + 2/15*b**2 + 8/5*b.
2*(b - 1)*(b + 13)/15
Solve 331*r + 5*r**5 + 800*r**2 - 1531*r - 16*r**3 + 640 - 184*r**3 = 0.
-8, 2
Let j = -1819 + 1822. What is l in -3/8 - 7/8*l**j - 1/8*l**2 + 1/2*l**4 + 7/8*l = 0?
-1, 3/4, 1
Find i, given that 1/2*i**4 - 7/2*i**2 - 2*i**3 + 5*i + 0 = 0.
-2, 0, 1, 5
Let k(a) be the first derivative of -a**5/20 + 5*a**4/18 - a**3/2 + a**2/3 + 9*a + 4. Let s(f) be the first derivative of k(f). Factor s(c).
-(c - 2)*(c - 1)*(3*c - 1)/3
Let b(r) = -3*r**2 - 66*r + 135. Let w(g) = g**2 + 33*g - 68. Let s(p) = 4*b(p) + 9*w(p). Let s(k) = 0. Calculate k.
3, 8
Let t(j) = -j**3 - 52*j**2 + 110*j + 110. Let n be t(-54). Factor 6/5 - 8/5*d + 2/5*d**n.
2*(d - 3)*(d - 1)/5
Suppose -3*t**3 + 4 + 1912*t**2 - 1933*t**2 - 4 - 18*t = 0. Calculate t.
-6, -1, 0
Let t(o) = 10*o**2 + 8*o + 8. Let w be 1 + -2 - -12 - 6/2. Let m(p) = p**2. Let b(v) = w*m(v) - t(v). Solve b(c) = 0 for c.
-2
Let r(i) = -4*i + 25*i**2 + 3 + 4 - 55*i**2 + 23*i**2 + 9*i**3. Let j(t) = -5*t**3 + 3*t**2 + 2*t - 3. Let g(k) = 5*j(k) + 3*r(k). Factor g(b).
2*(b - 3)*(b - 1)*(b + 1)
Let p(a) be the third derivative of -a**7/840 + a**6/480 + a**5/240 - a**4/96 - 30*a**2. Let p(g) = 0. Calculate g.
-1, 0, 1
Find u such that -65/3*u**4 - 105*u**3 - 5/3*u**5 - 225*u**2 + 0 - 180*u = 0.
-4, -3, 0
Suppose 0 = 3*v + 16 + 5. Let s = v + 9. Let -2*g**4 - 9*g**4 + 13*g**4 + s*g**5 = 0. What is g?
-1, 0
Let a(f) = -48*f**2 - 125 + 36*f + 14*f**3 + 121 + 6*f**3. Let g(y) = y - 2. Let s be g(1). Let i(r) = -r**3 + r. Let z(k) = s*a(k) + 12*i(k). Factor z(u).
-4*(2*u - 1)**3
Suppose 0 = 5*b + 15, -4*f + 200*b = 204*b - 8. Let a = 8/7 + 2/35. Factor 6/5*x**2 + a*x - 3/5 + 21/5*x**4 - 24/5*x**3 - 6/5*x**f.
-3*(x - 1)**4*(2*x + 1)/5
Let w(s) = s**2 - 7*s + 40. Let m(g) = -g**2 + 6*g - 51. Let u(y) = -2*m(y) - 3*w(y). Determine l, given that u(l) = 0.
3, 6
Let b(p) be the second derivative of p**5/5 + 46*p**4/3 + 19*p. Solve b(f) = 0.
-46, 0
Let d(u) be the third derivative of u**8/840 - 2*u**7/525 + u**6/300 - u**2 + 34. Factor d(i).
2*i**3*(i - 1)**2/5
Let n = 6 - 4. Suppose 0 = 2*r - 6 + n. Determine o, given that -4/13 + 6/13*o - 2/13*o**r = 0.
1, 2
Let t(r) = 11*r**2 - 8*r + 21. Let z(p) = -100*p**2 + 70*p - 190. Let w(l) = 55*t(l) + 6*z(l). Factor w(d).
5*(d - 3)*(d - 1)
Let j(h) be the third derivative of -h**6/540 + 2*h**5/135 - h**2 + 8. Let j(d) = 0. Calculate d.
0, 4
Let n(o) = -o + 4. Let y(r) = -2*r + 4. Let v(m) = 2*n(m) - 3*y(m). Let l(d) = -d**2 + 20*d - 22. Let t(k) = -2*l(k) + 11*v(k). Determine j so that t(j) = 0.
-2, 0
Let v(t) = -409*t + 1229. Let h be v(3). Factor 2/3*j**3 + 0 + h*j**2 + 4/3*j.
2*j*(j + 1)*(j + 2)/3
Let l(n) be the first derivative of 2*n**5/35 + 2*n**4/7 + 2*n**3/7 + 58. Factor l(t).
2*t**2*(t + 1)*(t + 3)/7
Let l(d) be the second derivative of -d**5/570 - d**4/228 - 19*d**2/2 + 32*d. Let g(p) be the first derivative of l(p). Solve g(s) = 0.
-1, 0
Let p(q) be the second derivative of -3*q**8/2240 - 11*q**7/3360 - q**6/720 - 19*q**3/6 - 5*q. Let n(f) be the second derivative of p(f). Factor n(o).
-o**2*(o + 1)*(9*o + 2)/4
Let u(g) = -9*g**3 - 27 - 8*g**3 - 64*g**2 + 3*g**2 - 75*g. Let k(c) = -61*c - 8*c**3 - 30*c**2 + 23*c - 9 - 5. Let l(q) = -5*k(q) + 2*u(q). Factor l(x).
2*(x + 2)**2*(3*x + 2)
Let u(c) be the second derivative of -2/5*c**2 + 1/6*c**3 - 8*c + 0 - 1/60*c**4. Factor u(k).
-(k - 4)*(k - 1)/5
Let b(j) be the third derivative of -j**8/26880 - j**7/10080 + j**6/360 + j**5/40 + 5*j**4/24 - 17*j**2. Let t(f) be the second derivative of b(f). Factor t(p).
-(p - 3)*(p + 2)**2/4
Let s(k) = -k - 2. Let u be s(-10). Suppose 6 = -u*l + 10*l. Factor l*i + 3/5*i**3 - 6/5 - 12/5*i**2.
3*(i - 2)*(i - 1)**2/5
Let s(h) be the first derivative of 8/21*h**3 - 20 + 1/14*h**4 + 4/7*h + 5/7*h**2. Find k such that s(k) = 0.
-2, -1
Let j(v) be the first derivative of -3*v**5/5 - 3*v**4 - 4*v**3 - 30. Factor j(h).
-3*h**2*(h + 2)**2
Let t(d) be the third derivative of 5/24*d**4 + 1/24*d**6 + 0*d + 0*d**3 - 10*d**2 - 1/6*d**5 + 0. Factor t(k).
5*k*(k - 1)**2
Let o be 15/(-18) + 66/72. Let m(j) be the first derivative of 3/8*j**2 + 0*j + 7 - o*j**3. Factor m(x).
-x*(x - 3)/4
Solve 9*v - 4*v**5 + 26*v**2 + 10*v**3 - 2989 - 6*v**4 + 9*v + 2993 = 0.
-1, -1/2, 2
Suppose 2*t - 5*s - 4 = 7, 2*t = -s - 7. Let r be (t - (-1 + 0)) + 11/2. Find n, given that -1/2*n**4 - r*n**2 - 7/2*n - 1 - 5/2*n**3 = 0.
-2, -1
Let w(v) be the second derivative of -v**4/14 - 11*v**3/7 - 54*v**2/7 + 11*v. Factor w(a).
-6*(a + 2)*(a + 9)/7
Let o(a) be the third derivative of -a**5/20 - a**4/8 + 3*a**3 + 2*a**2 - 26. Find z such that o(z) = 0.
-3, 2
Let c(j) be the first derivative of -j**3/12 - 26*j**2 + 209*j/4 + 685. Determine v so that c(v) = 0.
-209, 1
Let n(b) be the first derivative of b**2 - 1/5*b**4 + 28/15*b**3 - 22/25*b**5 + 17 - 6/5*b - 1/5*b**6. Determine j so that n(j) = 0.
-3, -1, 1/3, 1
Let y(i) = 10*i**3 - i**2 - 2*i + 1. Let w be y(2). Factor 64 - o**2 - 2*o**2 - w + 12*o.
-3*(o - 3)*(o - 1)
Let d(k) be the first derivative of 7 + 1/42*k**6 - 4/35*k**5 + 0*k + 3/14*k**4 + 1/14*k**2 - 4/21*k**3. Find z, given that d(z) = 0.
0, 1
Let b(g) = -g**3 + 4*g**2 + 2*g - 6. Let l be b(4). Find w such that 8*w**3 + 6*w**l - 12*w**3 + 28*w + 2*w**2 + 16 = 0.
-1, 4
Let k(v) be the first derivative of v**6/3 - 6*v**5/5 - v**4/2 + 2*v**3 + 167. Factor k(t).
2*t**2*(t - 3)*(t - 1)*(t + 1)
Let r(b) be the first derivative of -b**9/1512 - b**8/840 + b**7/420 + b**6/180 - b**3 - 7. Let w(p) be the third derivative of r(p). Solve w(k) = 0 for k.
-1, 0, 1
Let d(t) be the third derivative of -t**6/24 - 29*t**5/12 - 275*t**4/24 - 45*t**3/2 - t**2 + 18. Factor d(n).
-5*(n + 1)**2*(n + 27)
Let z(l) be the third derivative of -l**6/80 + 13*l**5/40 - 3*l**4 + 9*l**3 + l**2 + 14*l. Suppose z(h) = 0. Calculate h.
1, 6
Let g = -291 - -291. Let h(o) be the second derivative of -1/48*o**4 + 1/56*o**7 + 0*o**3 + 1/80*o**5 + o + g*o**2 + 0 + 1/24*o**6. Solve h(f) = 0.
-1, 0, 1/3
Determine c, given that 8/5*c**2 - 4*c**4 - 8/5*c**5 + 0*c - 4/5*c**3 + 0 = 0.
-2, -1, 0, 1/2
Factor 1/2*j**5 + 0 + 0*j**2 + 0*j + 5/2*j**4 - 3*j**3.
j**3*(j - 1)*(j + 6)/2
Let f = 100 + -106. Let b be 0/2*(30/f)/(-10). Factor 1/4*x**4 + 1/2*x - 1/4*x**2 - 1/2*x**3 + b.
x*(x - 2)*(x - 1)*(x + 1)/4
Suppose -l + 1 = -5*f, 4*l + 5*f - 44 = -15. Solve 16*s - 4 + 6*s**3 - 16*s**2 - 2*s**2 - 4*s**4 + 10*s**3 - l*s**2 = 0.
1
Let w(v) = -9*v**2 + 9*v - 5. Let p(o) be the third derivative of o**5/12 - 5*o**4/24 + o**3/2 + 3*o**2. Let b(j) = 5*p(j) + 3*w(j). Factor b(c).
-2*c*(c - 1)
Suppose 4*w + 3*f + 18 = 7*w, 5*f = 4*w - 28. Let b be (-3)/(30/(-4)) + 8 + -6. Suppose -26/5*v**w - 2/5 + 16/5*v + b*v**3 = 0. Calculate v.
1/6, 1
Let o = 100 - 96. Factor -8*c**o + 35 - 27 - 19*c + 4*c**5 - 8*c**3 - 9*c + 32*c**2.
4*(c - 1)**4*(c + 2)
Factor 2*l - 1/2*l**3 + 6 - 3/2*l**2.
-(l - 2)*(l + 2)*(l + 3)/2
Suppose -5*u = 5*o - 30, -5*o = 2*u - 2 - 1. Let p(h) be the first derivative of 3/5*h**5 - 1/2*h**6 + 0*h**2 - u - h**3 + 0*h + 3/4*h**4. Factor p(a).
-3*a**2*(a - 1)**2*(a + 1)
Let k(n) be the first derivative of -3/4*n**4 