2. Let y(l) = 5*f(l) - 3*p(l). Factor y(r).
5*(r + 1)**2
Let x(s) be the third derivative of s**8/84 - 2*s**7/105 + s**2 - 31. Suppose x(t) = 0. What is t?
0, 1
Let o(n) = -4*n - 30. Let j be o(-9). Determine v, given that j*v**2 - 2 - 9*v**2 - v**3 + 2 = 0.
-3, 0
Let q(t) = -t**3 - t**2 - 1. Let c be (1 - 6)*2/(-5). Let m(w) = 15*w**c - 1 + 5*w**3 + 0 + 7 + 16*w. Let f(y) = -m(y) - 2*q(y). Find n, given that f(n) = 0.
-2, -1/3
Let v be ((-20)/6)/(15/(-45)). Suppose 5*g - 2 = -4*i - 7, 4*g + v = -2*i. Factor i*x**4 + 19*x**5 + 9*x**3 - 24*x**5 + x**3.
-5*x**3*(x - 2)*(x + 1)
Solve -40/9*w**2 + 4/9*w + 16/9*w**3 + 8/9 + 32/9*w**4 - 20/9*w**5 = 0.
-1, -2/5, 1
Let p be -2 - (72/162 - (-554)/(-72)). Suppose p*i - 21/4*i**3 - 3/2 + 3/2*i**2 = 0. What is i?
-1, 2/7, 1
Suppose 0 = -4*m + 11*m + 21. Let i be ((-2)/(28/(-8) - m))/6. Suppose 2*j + 2*j**2 + i*j**3 + 2/3 = 0. What is j?
-1
Suppose 6*r = 18 - 0. Factor -l - 7*l - 4*l**2 - 2*l**r + 8*l.
-2*l**2*(l + 2)
Let g(y) = -4*y**3 + 24*y**2 - 4*y + 32. Let p(c) = -c**3 + 8*c**2 - c + 10. Let q(o) = -5*g(o) + 16*p(o). Factor q(m).
4*m*(m + 1)**2
Suppose y + y + 5*w = 21, 0 = 2*y - 3*w + 3. Factor -16*d - 216*d**2 + 33*d + 1 + 432*d**3 + 19*d - y.
2*(6*d - 1)**3
Suppose -5*b + 4 = 4*a, 24 = -a + 25. Let k(m) be the second derivative of 0*m**2 + b - 11*m + 0*m**3 - 1/66*m**4 + 1/110*m**5. Factor k(x).
2*x**2*(x - 1)/11
Let -6*h**4 - 7*h**4 - 3*h**4 + 372*h**2 + 148*h**3 + 108*h + 28*h**4 = 0. Calculate h.
-9, -3, -1/3, 0
Let t(d) = 3*d + 65. Let y be t(-19). Let i be 92/56 + (-12)/y. Find l such that 2/7 - 3/7*l**2 + i*l**4 + 1/7*l**3 - 1/7*l = 0.
-2, -1, 1
Let o = -39191/2 - -19597. Find k such that 1/4*k**3 + 9/4*k + 1 + o*k**2 = 0.
-4, -1
Let u = 21851/14049 - -1/4683. Factor -4/9 - 2*b**2 - 2/9*b**4 + 10/9*b**3 + u*b.
-2*(b - 2)*(b - 1)**3/9
Suppose 3*g + 2*n - 14 = 3*n, -n - 5 = 0. Suppose -g*a + l = -2*l - 78, -120 = -5*a - 5*l. Factor -5*w + 4*w**2 + a + 31 + 13*w - 52.
4*(w + 1)**2
Let 12 - 10*r**3 + 18 - 85*r + 26 - 84 - 55*r**2 - 2 = 0. Calculate r.
-3, -2, -1/2
Factor -4/3*f + 2 + 1/6*f**2.
(f - 6)*(f - 2)/6
Let t(f) be the second derivative of 19*f**5/10 + 2*f**4/3 - 19*f**3/3 - 4*f**2 - 5*f - 2. Factor t(l).
2*(l - 1)*(l + 1)*(19*l + 4)
Let r(n) = 5*n**4 + 130*n**3 - 395*n**2 + 380*n - 120. Let l(o) = o**3 - 2*o**2 + o. Let u(a) = 25*l(a) - r(a). Suppose u(v) = 0. Calculate v.
-24, 1
Let t be (-40)/32*72/(-45). Let m(h) be the first derivative of 1/15*h**3 + 1/10*h**t - 1/5*h - 12 - 1/20*h**4. Factor m(o).
-(o - 1)**2*(o + 1)/5
Let v(t) be the second derivative of -t**4/22 - 41*t**3/33 + 14*t**2/11 - 178*t. Factor v(d).
-2*(d + 14)*(3*d - 1)/11
Let z be -2*(-1)/(-10)*(52 + -55). Determine r, given that 0*r**2 - z*r**5 + 6/5*r**3 - 3/5*r**4 + 0 + 0*r = 0.
-2, 0, 1
Let c(i) be the third derivative of 0 - 1/40*i**5 - 1/16*i**4 + 1/2*i**3 + 0*i - 14*i**2. Solve c(p) = 0.
-2, 1
Let a(v) be the third derivative of -v**6/540 - v**5/30 - 23*v**4/108 - 5*v**3/9 - v**2 + 51*v. Find m, given that a(m) = 0.
-5, -3, -1
Let n = 1015/4 - 5043/20. Suppose n*q**4 + 8/5*q**2 - 2/5*q - 12/5*q**3 + 0 - 2/5*q**5 = 0. Calculate q.
0, 1
Let o(j) = -2*j**2 - 3482*j + 376722. Let b(y) = -2*y**2 - 1742*y + 188362. Let u(f) = 5*b(f) - 3*o(f). Factor u(x).
-4*(x - 217)**2
Let g = -4 + 4. Let s(w) be the second derivative of 0*w**6 + 0*w**4 + 2*w + 0*w**2 + g*w**3 + 1/80*w**5 + 0 - 1/168*w**7. Find m such that s(m) = 0.
-1, 0, 1
Let p(x) be the second derivative of x**4/8 - x**3 + 2*x + 16. Suppose p(b) = 0. What is b?
0, 4
Let l(g) be the first derivative of -g**5/240 + g**4/24 - 13*g**2/2 + 25. Let o(k) be the second derivative of l(k). Let o(f) = 0. Calculate f.
0, 4
Let a be (-6)/(-30)*(-10)/(-8). Let r = -123 - -125. Factor -a*i**r - 1/4*i + 0.
-i*(i + 1)/4
Let g = 3985 - 59383/15. Factor -56/15*t + 2/15*t**2 + g.
2*(t - 14)**2/15
Let z(q) = -7*q**4 + 95*q**3 - 164*q**2 + 86*q + 5. Let b(a) = 6*a**4 - 94*a**3 + 166*a**2 - 86*a - 4. Let v(f) = 5*b(f) + 4*z(f). Suppose v(y) = 0. What is y?
0, 1, 43
Let y(a) be the first derivative of -45/4*a**4 - 40*a - 95*a**2 - 17 - 75*a**3. Find o, given that y(o) = 0.
-4, -2/3, -1/3
Let j(b) be the second derivative of -2/3*b**3 + 0*b**4 + 0 + 6*b + 1/5*b**5 + 0*b**2. Factor j(a).
4*a*(a - 1)*(a + 1)
Let m be (-6 + 6)*(-12)/(-24). Factor -w**2 + 0 + m*w + 1/8*w**3.
w**2*(w - 8)/8
Let s be -1*(-4)/(-14) + 2136/(-21). Let r = 105 + s. Let 4/3*n + 0 + 259/3*n**4 - 16/3*n**2 - 196/3*n**5 - 17*n**r = 0. What is n?
-1/4, 0, 2/7, 1
Let w(f) be the third derivative of f**6/180 + 19*f**5/90 + 20*f**4/9 - 100*f**3/9 + f**2 + 83. Factor w(l).
2*(l - 1)*(l + 10)**2/3
Let r(y) = -y**2 - y - 2. Let b(m) = -2*m**3 - 4*m**2 + 74*m + 308. Let w(l) = -b(l) - 4*r(l). Determine d so that w(d) = 0.
-5, 6
Suppose -14*f = -44 - 12. Find y, given that -1/6*y**5 + 2/3*y**2 - 1/3 - 1/6*y + 1/3*y**3 - 1/3*y**f = 0.
-2, -1, 1
Let m be -5 + 4 - (-4 + 1). Factor -3*r + 0*r + 0*r + 6*r**3 - r**5 - m*r**5.
-3*r*(r - 1)**2*(r + 1)**2
Let h(b) = 4*b**2 - 119*b - 1679. Let o(z) = 2*z**2 - 118*z - 1680. Let l(j) = -2*h(j) + 3*o(j). Factor l(c).
-2*(c + 29)**2
Let m(u) = -u**4 + 34*u**3 + 305*u**2 + 640*u + 439. Let w(n) = -2*n**3 - n**2 + 1. Let o(b) = 5*m(b) - 35*w(b). Solve o(f) = 0 for f.
-2, 54
Suppose 41 + 18*s**2 - 5*s**2 - 18*s + 98*s - 9*s**2 + 163 = 0. What is s?
-17, -3
Let v(y) = 2*y + 16. Let t be v(-7). Factor t*o**4 + 3 + o**5 - 3 + 3*o**3 - 2*o**3.
o**3*(o + 1)**2
Let t(q) = -q**3 - 10*q**2 + 55*q - 12. Let s be t(-14). Let n be 1 + -1 + (-1)/(-3). Factor n - 1/3*o**s - 1/3*o + 1/3*o**3.
(o - 1)**2*(o + 1)/3
Let k(y) = 13*y**2 - 5*y + 6. Let m(z) = 15*z**2 - 6*z + 7. Let b(o) = -7*k(o) + 6*m(o). Let j be b(0). Suppose j*c - 1/2*c**3 - 1/4*c**2 + 0 = 0. What is c?
-1/2, 0
Find u such that -5*u + 5*u**3 + 5/2*u**2 - 5/2*u**4 + 0 = 0.
-1, 0, 1, 2
Let a(z) be the third derivative of z**6/660 - z**5/11 + 75*z**4/44 - 2*z**2 - 3*z. Find f, given that a(f) = 0.
0, 15
Let t(x) be the second derivative of -3*x**5/100 + 417*x**4/20 - 57963*x**3/10 + 8056857*x**2/10 + 2*x + 93. Find w such that t(w) = 0.
139
Let q = -93 - -91. Let u = q - -2. Factor a - 3/2*a**2 + 1/2*a**3 + u.
a*(a - 2)*(a - 1)/2
Factor -293*b - 25*b**3 - 21*b**3 + 358*b**2 - 35*b**3 + 3*b**5 - 31*b - 6*b**4 - 34*b**2.
3*b*(b - 3)**2*(b - 2)*(b + 6)
Factor 6*h - 96/7 + 3/7*h**2.
3*(h - 2)*(h + 16)/7
Let b(u) be the first derivative of -u**6/3 - 18*u**5/5 - 15*u**4/2 - 14*u**3/3 + 94. Let b(p) = 0. What is p?
-7, -1, 0
Let d(v) be the second derivative of -v**6/180 + 11*v**5/120 - 3*v**4/8 + 25*v**3/36 - 2*v**2/3 + 218*v. Suppose d(l) = 0. Calculate l.
1, 8
Let q be (-17 + 1557/90)/((-12)/(-10)). Find l such that -q*l**2 + 1/4*l**5 + 0 + 0*l - 1/4*l**3 + 1/4*l**4 = 0.
-1, 0, 1
Let q be 4/6 - 30/(-9). Let z(x) = -x**5 - x**3 + x - 1. Let b(j) = -60*j**4 - 296*j**3 - 500*j**2 - 4*j + 4. Let u(m) = q*z(m) + b(m). Let u(v) = 0. What is v?
-5, 0
Let u(r) = -6*r**3 - 2*r**2 - r. Let t be u(-1). Let h = 29 + -26. Find p, given that -2*p - t*p + p + 3*p + h*p**2 = 0.
0, 1
Let o(y) be the third derivative of -y**6/180 + y**5/30 - y**4/18 + 64*y**2. Suppose o(p) = 0. Calculate p.
0, 1, 2
Suppose -m + 5*i - 13 = 0, -3*m + 9 = -10*i + 11*i. Let p(w) be the second derivative of 0*w**m - 1/78*w**4 - 6*w - 1/39*w**3 + 0. Factor p(l).
-2*l*(l + 1)/13
Let d be 4/(-26) + 3 + -466*(-1)/(-182). Solve d*p**2 + 8/7*p + 6/7 = 0 for p.
-3, -1
Let f = 800 + -3993/5. Factor 2/5*v + f*v**2 + 3/5*v**3 + 0.
v*(v + 2)*(3*v + 1)/5
Suppose -10 - 30 = -5*q - 3*k, -4*k = -q - 15. Factor 10*l + 21 - 47 - q*l**2 + 21.
-5*(l - 1)**2
Let w = -741 - -741. Let k(b) be the first derivative of 0*b**2 + 1/6*b**6 - 4 + w*b - 1/4*b**4 - 1/3*b**3 + 1/5*b**5. Solve k(a) = 0.
-1, 0, 1
Let 0*r**2 + 8/13*r**3 + 0*r + 0 + 2/13*r**4 = 0. What is r?
-4, 0
Let 132/7*i + 0 + 3*i**3 - 120/7*i**2 + 3/7*i**4 = 0. Calculate i.
-11, 0, 2
Let 0*w**3 - 6*w**3 - 14*w - 3*w + 3*w**3 - 7*w - 27*w**2 + 180 = 0. What is w?
-6, -5, 2
Let c(x) = -2*x + 47. Let g be c(15). Suppose -4*u = -5*u + 3*i + g, i - 3 = -4*u. Let -2/5*j**3 - 6/5*j - 6/5*j**u - 2/5 = 0. Calculate j.
-1
Let j = -151/333 - -25/37. Let b(u) be the first derivative of 0*u - j*u**2 + 1/18*u**4 - 8 - 2/27*u**3. Factor b(y).
2*y*(y - 2)*(y 