*(r + 39)/5
Let s(y) = -7*y**5 + 8*y**4 - 6*y**3 - 5. Let z(h) = 203*h**3 - 200*h**3 + 2 + 3*h**5 - 7*h**4 + 3*h**4. Let v(i) = 2*s(i) + 5*z(i). Factor v(a).
a**3*(a - 3)*(a - 1)
Let n(g) = -g**2 - 4*g + 23. Let o be n(-7). Let q be ((-209)/133 - -2) + 15/14. Factor 1/4*l**4 - q*l**3 + 9/4*l**o + 0*l + 0.
l**2*(l - 3)**2/4
Let s(g) = 8*g**2 - 21*g + 13. Let j(x) = -4*x**2 + 11*x - 7. Let p(m) = 2*m - 3. Let a be p(3). Let w(h) = a*s(h) + 5*j(h). Find n, given that w(n) = 0.
1
Let d(r) = -3*r**2 - 32*r - 59. Let y be d(-8). Let c(n) be the third derivative of 0*n + 0*n**3 - 4*n**2 + 1/24*n**4 + 1/60*n**y + 0. Factor c(k).
k*(k + 1)
Let k = -1403 + 2643/2. Let h = 83 + k. Factor 9/2*o + 3/2 - h*o**2 - 9/2*o**3.
-3*(o - 1)*(o + 1)*(3*o + 1)/2
Let c(k) be the second derivative of -k**4/42 + 46*k**3/21 - 45*k**2/7 - 4*k - 9. Factor c(b).
-2*(b - 45)*(b - 1)/7
Let p(q) be the third derivative of -2*q**7/105 - 7*q**6/30 - 16*q**5/15 - 2*q**4 - q**2 - 110*q. Factor p(m).
-4*m*(m + 2)**2*(m + 3)
Let 51/4*j**2 + 9/4 + 5/4*j**3 + 55/4*j = 0. Calculate j.
-9, -1, -1/5
Suppose 2*t + 6*w - 17 = 7*w, -3*t + 13 = w. Let n be 10/(-25) + (7 - t). Factor 6/5*o**4 - 6/5*o**2 - n*o + 3/5*o**5 + 0 + 0*o**3.
3*o*(o - 1)*(o + 1)**3/5
Let o(y) be the first derivative of -y**5/420 - y**4/56 + 3*y**2/2 + 6. Let v(t) be the second derivative of o(t). Factor v(c).
-c*(c + 3)/7
Let l = -4124 + 4126. Factor -4/7*u**l + 0*u - 4/7*u**3 + 0 - 1/7*u**4.
-u**2*(u + 2)**2/7
Let o(s) be the second derivative of s**8/2240 - s**6/240 + 5*s**4/6 - 2*s. Let f(k) be the third derivative of o(k). Factor f(y).
3*y*(y - 1)*(y + 1)
Let s(t) = 15*t**3 - 710*t**2 - 725*t - 5. Let x(r) = -23*r**3 + 1065*r**2 + 1088*r + 8. Let v(f) = -8*s(f) - 5*x(f). Factor v(g).
-5*g*(g - 72)*(g + 1)
Factor 3/7*v**2 - 12/7*v + 0.
3*v*(v - 4)/7
Suppose 33 = 4*m - 91. Suppose -m = -5*q + 4*i, -2*q - 2*i + 2 - 4 = 0. Factor -2/5*b**4 + 4/5*b**q + 0 + 0*b**2 + 0*b.
-2*b**3*(b - 2)/5
Let b(l) = l**3 + 2*l**2 - l - 1. Let w(a) = -2*a**3 - 2*a**2 - 15. Let i(p) = -15*b(p) - 5*w(p). Factor i(c).
-5*(c - 2)*(c + 3)**2
Let b(c) be the first derivative of -c**5 - 4*c**4 + 17*c**3/3 + 2*c**2 - 218. Factor b(p).
-p*(p - 1)*(p + 4)*(5*p + 1)
Let p(b) be the third derivative of -b**5/20 - b**4/8 + b**3 + b**2 - 53. Factor p(s).
-3*(s - 1)*(s + 2)
Let x(h) = 241*h + 1689. Let c be x(-7). Find s, given that 0*s + 8/7*s**3 - 2/7*s**c + 0 = 0.
0, 1/4
Determine b so that 51*b**2 + 31 - 80 + 52*b - 47 + 3*b**3 - 10*b = 0.
-16, -2, 1
Let a(z) = 4*z**4 + 8*z**3 - 36*z**2 + 32*z - 12. Let m(f) = -f**5 + 9*f**4 + 16*f**3 - 71*f**2 + 63*f - 23. Let j(h) = 7*a(h) - 4*m(h). Factor j(g).
4*(g - 1)**4*(g + 2)
Factor 0*m - 285/2*m**2 + 0 + 3/2*m**3.
3*m**2*(m - 95)/2
Let u = 3364 + -6725/2. Factor 0 - 3/2*b - u*b**2.
-3*b*(b + 1)/2
Let j(y) = 2*y**3 + y. Let w(d) = 15*d**3 + 85*d**2 + 75*d - 160. Let h(p) = -5*j(p) + w(p). Factor h(z).
5*(z - 1)*(z + 2)*(z + 16)
Let b(k) be the third derivative of -k**7/105 - 19*k**6/20 + k**5/30 + 19*k**4/4 - 637*k**2 - k. Determine n, given that b(n) = 0.
-57, -1, 0, 1
Let r(d) be the second derivative of 0 - 1/6*d**4 - 1/3*d**3 - 1/3*d**2 - 1/30*d**5 + 7*d. Determine s so that r(s) = 0.
-1
Let d(o) be the first derivative of 10 + 0*o + 0*o**2 - 1/8*o**4 + 5/6*o**3. Factor d(z).
-z**2*(z - 5)/2
Let w be -1 + (1 - (-15)/(-24)) + 1. Suppose 3/8*g**3 + 0 + 0*g - w*g**2 = 0. What is g?
0, 1
Let n(a) be the third derivative of a**6/90 + 2*a**5/3 + 32*a**4/3 - 1024*a**3/9 + 22*a**2. Factor n(l).
4*(l - 2)*(l + 16)**2/3
Let u(s) be the third derivative of -s**6/40 - 51*s**5/20 - 90*s**4 - 864*s**3 - 4*s**2 + 31*s. Factor u(l).
-3*(l + 3)*(l + 24)**2
Let n(c) be the third derivative of -1/8*c**3 - 1/48*c**4 + 0*c + 1/240*c**5 + 0 - 12*c**2. Factor n(i).
(i - 3)*(i + 1)/4
Let j(l) be the third derivative of -l**7/1260 - l**6/360 - 5*l**4/8 + 8*l**2. Let r(x) be the second derivative of j(x). Factor r(y).
-2*y*(y + 1)
Let k(f) be the third derivative of f**6/24 - 157*f**5/12 + 30415*f**4/24 + 31205*f**3/6 - 44*f**2. Solve k(p) = 0 for p.
-1, 79
Let j(q) = -24*q**2 + 70*q - 14. Let g(n) = -73*n**2 + 209*n - 41. Let k(p) = -6*g(p) + 17*j(p). Find m, given that k(m) = 0.
2/15, 2
Let z(q) = 386*q + 1161. Let l be z(-3). Solve 0*m**2 + 3/4*m**l + 0 - 3/4*m = 0.
-1, 0, 1
Let m = 55487/5 + -11097. What is u in -3/5*u + 1/5*u**3 + m + 0*u**2 = 0?
-2, 1
Let m be (3279/468 + -7)*2. Let g(n) be the second derivative of 5*n + 0*n**3 + 0 - m*n**4 + 1/13*n**2. Solve g(z) = 0.
-1, 1
Suppose 5 = 4*l - 27. Suppose -l*x + 6 = -6*x. Factor -4/13*a**2 + 0 + 2/13*a**5 + 0*a**x + 4/13*a**4 - 2/13*a.
2*a*(a - 1)*(a + 1)**3/13
Let w(h) = -2*h**2 + h**2 - 38 + 8*h + 6*h. Let y be w(10). Factor f**y - 1/2*f**3 + 1/2*f - 1.
-(f - 2)*(f - 1)*(f + 1)/2
Let t(l) be the third derivative of -l**5/510 - 7*l**4/204 - 4*l**3/17 - 184*l**2. Factor t(k).
-2*(k + 3)*(k + 4)/17
Let x(b) be the second derivative of b**7/70 + b**6/40 - b**5/20 - b**4/8 - b**2/2 - 22*b. Let y(l) be the first derivative of x(l). Factor y(o).
3*o*(o - 1)*(o + 1)**2
Let l(x) = x**4 - 5*x**3 - 4. Let b(y) = y**3 - y**2 + y + 1. Suppose -40 = 4*f - 24. Let c(q) = f*b(q) - l(q). Factor c(a).
-a*(a - 2)*(a - 1)*(a + 2)
Factor -28*k**2 + 62*k**4 - 66*k**4 - 20*k**3 + 4*k - 16*k.
-4*k*(k + 1)**2*(k + 3)
Let u(i) be the second derivative of i**6/69 - 6*i**5/115 + 2*i**4/69 - 71*i. Factor u(l).
2*l**2*(l - 2)*(5*l - 2)/23
Let u(p) = -48*p**2 + 282*p - 342. Let x(y) = -7*y**2 + 40*y - 49. Let t(k) = 4*u(k) - 27*x(k). Determine v so that t(v) = 0.
1, 15
Factor -3*a**4 + 23*a**3 - a**3 + 2*a**4 + 58*a + 9 - 60*a**2 - 28.
-(a - 19)*(a - 1)**3
Let q(g) = g**3 + 115*g**2 + 592*g - 716. Let t(y) = -115*y**2 - 590*y + 715. Let w(m) = 5*q(m) + 4*t(m). Factor w(l).
5*(l - 1)*(l + 12)**2
Let y(f) be the first derivative of f**7/1120 - f**6/96 + f**5/20 - f**4/8 - 16*f**3/3 + 3. Let h(d) be the third derivative of y(d). Factor h(k).
3*(k - 2)**2*(k - 1)/4
Let o be 26/78*(27/(-15) + 3). Solve -4/5 - o*s**2 - 6/5*s = 0 for s.
-2, -1
Let y(i) be the second derivative of i**6/270 - 2*i**5/135 - 2*i**4/27 + 16*i**3/27 + 21*i**2/2 - 14*i. Let r(c) be the first derivative of y(c). Factor r(z).
4*(z - 2)**2*(z + 2)/9
Let p(d) = -106 - d + 223 - 118. Let t(r) = -r**2 - 7*r - 7. Suppose f - 4 = -0*f. Let a(w) = f*t(w) - 28*p(w). Solve a(v) = 0.
0
Suppose 3*l - 11 = -f - 0, -3*l + 13 = -f. Factor -2/3*c**3 + 0*c + 2/3*c**l + 0 + 2/3*c**5 - 2/3*c**2.
2*c**2*(c - 1)*(c + 1)**2/3
Let d(w) be the second derivative of -w**6/12 - 11*w**5/4 - 65*w**4/8 + 55*w**3/6 + 50*w**2 - 13*w + 18. What is r in d(r) = 0?
-20, -2, -1, 1
Suppose 0 = 2*u - i - 27 - 21, 0 = -5*i. Let j = 1 - -3. Find v, given that 8*v + 3/2*v**5 - 10*v**j + 24*v**3 - u*v**2 + 0 = 0.
0, 2/3, 2
Let l(s) = s**2 + 3. Let u be l(3). Factor -u*i - 113*i**3 - 53*i**2 - 3*i**3 - 31*i**2 - 31*i**3.
-3*i*(7*i + 2)**2
Let v(w) be the second derivative of -w**7/231 + 2*w**6/165 + w**5/110 - w**4/33 + 168*w. What is n in v(n) = 0?
-1, 0, 1, 2
Let q = -15 - -25. Let i = q - 8. Find d, given that -3*d**2 - d**2 - 8*d + 5*d**2 - 5*d**i = 0.
-2, 0
Let s = 5028 - 24984/5. Solve 288/5*h**2 + 27/5*h**4 + 144/5*h - 48/5 + s*h**3 = 0 for h.
-2, 2/9
Let n(r) = 36*r**2 - 169*r + 168. Let b(z) = -10*z**2 + 56*z - 56. Let p(a) = -7*b(a) - 2*n(a). Factor p(l).
-2*(l - 1)*(l + 28)
Let n(t) be the first derivative of 0*t**3 + 5/18*t**6 + 5/6*t**4 + 0*t + t**5 + 22 + 0*t**2. Factor n(f).
5*f**3*(f + 1)*(f + 2)/3
Let -11/7*d**2 - 4 + 1/7*d**3 - 40/7*d = 0. Calculate d.
-2, -1, 14
Let o be (-3 + (-45)/(-14))/((-3)/(-4)). Factor 4/7*y + 2/7 + o*y**2.
2*(y + 1)**2/7
Let s(r) be the third derivative of r**7/945 + r**6/540 - 23*r**5/270 + 13*r**4/36 - 2*r**3/3 + 5*r**2 + 18*r. Find t such that s(t) = 0.
-6, 1, 3
Let o be 1*(2 + -3 - -2). Factor s + 3*s**2 + 5 - o - 6 - 1 - s**3.
-(s - 3)*(s - 1)*(s + 1)
Let u = -17 + -1. Let v = u - -22. Suppose 21*b**2 + 0*b - 3*b - 6*b**5 - 3*b**v + 10*b + 18*b**3 - b = 0. What is b?
-1, -1/2, 0, 2
Let v(q) be the first derivative of q**7/1155 - q**5/110 + q**4/66 + 5*q**2/2 + 5. Let x(d) be the second derivative of v(d). Factor x(n).
2*n*(n - 1)**2*(n + 2)/11
Suppose 0 = 4*y + 3*w - 7*w + 12, -3*y = -w - 1. Factor -1/2*x**3 - 6*x - 3*x**