 - 4. Let o be y(6). Factor -4*n**o + 0*n**2 + 32*n - 28*n.
-4*n*(n - 1)
Let x(t) = 13*t + 17. Let l(o) = 7*o + 9. Let i(d) = -7*l(d) + 4*x(d). Let s be i(0). Factor 0*w**2 + 0 + 0*w**4 - 2/3*w + 4/3*w**3 - 2/3*w**s.
-2*w*(w - 1)**2*(w + 1)**2/3
Factor -66*p + 3*p**4 - 2*p**4 - 33*p + 8*p**4 - 63*p**2 + 33*p**3 - 162 - 198*p.
3*(p - 3)*(p + 3)**2*(3*p + 2)
Let 9 - 32 + 2*g**2 - 33*g + 8*g - 3*g - 41 = 0. Calculate g.
-2, 16
Let v(h) be the second derivative of -h**5/140 - 2*h**4/21 - h**3/6 + 7*h - 7. Factor v(z).
-z*(z + 1)*(z + 7)/7
Let v(d) be the first derivative of d**6/2 - 42*d**5/5 + 207*d**4/4 - 140*d**3 + 150*d**2 + 15. Factor v(a).
3*a*(a - 5)**2*(a - 2)**2
Let w(d) be the third derivative of d**5/48 - d**4/12 - d**3/6 + 135*d**2. Factor w(j).
(j - 2)*(5*j + 2)/4
Let p(d) = 6*d**4 + 3*d**3 + 33*d**2 - 70*d + 48. Let i(r) = 20*r**4 + 8*r**3 + 100*r**2 - 208*r + 144. Let u(y) = 5*i(y) - 16*p(y). Let u(c) = 0. Calculate c.
-3, 1, 2
Suppose -5*z - 5*i - 20 = 0, -5*z + i - 18 = 5*i. Let q be (-2)/(-5)*(z/6 + 2). Factor -2/3*t + q*t**2 - 4/3.
2*(t - 2)*(t + 1)/3
Let o(y) be the third derivative of 47*y**5/180 + 11*y**4/18 - y**3/6 - 18*y**2 - 11. Determine h so that o(h) = 0.
-1, 3/47
Let k be (-3 + 4)/1 + 3. Let w be (-4)/2*(-2)/k*5. Suppose -16/5*o**4 + 6/5*o**w + 0*o - 4/5*o**2 + 14/5*o**3 + 0 = 0. What is o?
0, 2/3, 1
Let g be 4/(-6) - (-5936)/192. Let a = g + -30. Solve -a*w - 1/4*w**2 + 1/2 = 0 for w.
-2, 1
Let r(y) be the first derivative of -y**4/14 + y**2/7 - 5. Factor r(v).
-2*v*(v - 1)*(v + 1)/7
Suppose -261*t - 20 = -271*t. Let z(k) be the second derivative of 1/40*k**5 + 1/12*k**4 - 5*k + 0 + 0*k**t + 0*k**3. Solve z(h) = 0.
-2, 0
Let j(r) = r**3 - 8*r**2 + 6*r + 9. Let s be j(7). What is c in 12*c - 3*c**3 - 7*c + 13*c + 2*c**s + c**2 = 0?
-2, 0, 3
Let j = -67 + 87. Let p be -2*((-85)/j + 4). Factor p + 0*i - 1/2*i**2.
-(i - 1)*(i + 1)/2
Let u be 27/21 - 3/6*-2. Factor -8/7*g + u - 4/7*g**2 + 2/7*g**3.
2*(g - 2)**2*(g + 2)/7
Let q be (3/(-24))/((-60)/80). Let r(x) be the second derivative of x**3 - x + 0 + q*x**4 + 2*x**2. Find i, given that r(i) = 0.
-2, -1
Let s(z) = 2*z**2 - 2076 + 3*z + 2076 + z**3 - 4*z**2. Let g be s(1). Determine n so that 9/8*n + 1/8*n**5 + 7/4*n**3 + 2*n**g + 1/4 + 3/4*n**4 = 0.
-2, -1
Let m = 6515/2 - 3257. Suppose v - 2*r + 5 - 13 = 0, -4*r = 2*v + 8. Let -1/4*o - 1/4*o**v + m = 0. Calculate o.
-2, 1
Suppose 1011*t**2 - 2*t**4 - t**4 - 45*t**3 - 1236*t**2 + 0*t**4 - 375*t = 0. Calculate t.
-5, 0
Let l(h) be the first derivative of h**2/2 + 14*h + 2. Let w be l(-11). Determine p, given that p - 2*p + 0*p**2 - 2*p**2 - 2*p**w + p**3 = 0.
-1, 0
Let q(t) = 67*t + 3419. Let l be q(-51). Suppose -1/3*o**l - 1/3*o + 0 = 0. Calculate o.
-1, 0
Let o(y) be the first derivative of 6*y**3 - 22*y**2 + 16*y + 29. Determine c, given that o(c) = 0.
4/9, 2
Let a = 5/624 + 1375/1456. Let n = a + -2/7. Factor 2*g - n*g**2 - 4/3.
-2*(g - 2)*(g - 1)/3
Let j(i) be the third derivative of -i**6/36 + i**5/30 + 5*i**4/36 - i**3/3 + 200*i**2. Factor j(n).
-2*(n - 1)*(n + 1)*(5*n - 3)/3
Let r(i) be the first derivative of -5/3*i**3 - 5/4*i**4 + 0*i + 8 + 5*i**2. Solve r(n) = 0.
-2, 0, 1
Let v(c) = c**3 - 93*c**2 - 97*c + 284. Let y be v(94). Factor -16/19*s**4 + 2/19 + 8/19*s**3 - 10/19*s + 12/19*s**y.
-2*(s + 1)*(2*s - 1)**3/19
Let t(i) be the second derivative of -i**7/420 - i**6/90 + 2*i**3 - 9*i. Let m(x) be the second derivative of t(x). Suppose m(p) = 0. Calculate p.
-2, 0
Let l(q) be the third derivative of q**5/20 + 65*q**2 + 4*q. Factor l(r).
3*r**2
Let j be 3136/1617 + 8/132. Suppose 8/3 + 6*h**j + 40/3*h = 0. What is h?
-2, -2/9
Let s(m) be the second derivative of m**7/14 + 13*m**6/10 - 39*m**5/10 - 107*m**4 + 620*m**3 - 1200*m**2 - 135*m. Find x such that s(x) = 0.
-10, 1, 2, 4
Suppose -354*n**2 - 4*n - 3 + 0*n + 353*n**2 = 0. Calculate n.
-3, -1
Let w(y) be the third derivative of -y**7/70 - 3*y**6/20 + 4*y**4 - 55*y**2. Solve w(t) = 0 for t.
-4, 0, 2
Factor -6*j**3 + 4*j**2 + 368*j - 386*j - 60*j**2.
-2*j*(j + 9)*(3*j + 1)
Solve 5*i**2 - 7*i**2 - 4*i**3 + i**3 + 2*i**3 = 0 for i.
-2, 0
Let m(x) = 2*x**4 - 18*x**3 - 14*x**2 + 18*x + 16. Let v(z) = 5*z**4 - 53*z**3 - 41*z**2 + 53*z + 47. Let o(d) = -11*m(d) + 4*v(d). Let o(i) = 0. Calculate i.
-6, -1, 1
Factor -30*z**2 - 5*z - 30*z + 566 + 568 - 1139.
-5*(z + 1)*(6*z + 1)
Suppose -3*f = -18 + 6. Factor 4*y**f + 20*y**3 + 12*y**4 - 35*y**2 + 43*y**2 + 4*y**5.
4*y**2*(y + 1)**2*(y + 2)
Suppose 46 - 6 = 4*x. Suppose 38*k**2 + x*k + 6 - 1 - 17*k**2 - 16*k**2 = 0. What is k?
-1
Let t be 5*5/(175/21). Let a(c) be the first derivative of -5 + 2/7*c**2 + 4/21*c**t + 0*c. Factor a(n).
4*n*(n + 1)/7
Factor -209*a**2 - 208*a**2 + 420*a**2 + 12*a.
3*a*(a + 4)
Let l(c) = 4*c**4 - 7*c**3 + 12*c**2 + c + 5. Let x(f) = 0*f**4 - 7*f**2 + 2*f**3 + 6*f**3 - 4 - 5*f**2 - 4*f**4. Let r(s) = -4*l(s) - 5*x(s). Factor r(b).
4*b*(b - 1)**3
Let h(t) be the first derivative of 16 + 14/55*t**5 + 1/11*t**4 + 0*t + 0*t**3 + 5/33*t**6 + 0*t**2. Factor h(z).
2*z**3*(z + 1)*(5*z + 2)/11
Let y(f) = f**2 - 2*f. Let m(u) = -u**3 - 8*u**2 - 12*u + 3. Let k be m(-6). Let c be y(k). Factor -2*g**2 - g**3 + g**4 + 3*g**2 + 3*g**c.
g**2*(g + 1)**2
Let z(k) be the third derivative of 0*k - 32*k**2 + 1/45*k**7 + 2/9*k**3 + 0 + 3/10*k**5 - 13/36*k**4 - 23/180*k**6. Factor z(w).
2*(w - 1)**3*(7*w - 2)/3
Factor -1/5*m**2 + 4/5 + 0*m.
-(m - 2)*(m + 2)/5
Let r(y) be the first derivative of 1/5*y**3 + 3/5*y**2 + 3/5*y - 32. Factor r(s).
3*(s + 1)**2/5
Let k(p) be the third derivative of p**8/84 - 2*p**7/105 - 7*p**6/30 + 13*p**5/15 - p**4 - 3*p**2 - 37. Find u, given that k(u) = 0.
-3, 0, 1, 2
Let c = 1107713/110 + -10070. Let h(k) be the second derivative of 6/11*k**2 + 8*k + 7/33*k**3 - 4/165*k**6 - 4/33*k**4 - c*k**5 + 0. Let h(z) = 0. What is z?
-2, -1, 3/4
Let p = -1678 - -1678. Let y(a) be the second derivative of 0*a**2 + p - 2*a - 4/3*a**3 - 1/3*a**4. Factor y(m).
-4*m*(m + 2)
Let f(k) be the second derivative of 2/15*k**6 + 1/10*k**5 + 1/21*k**7 - 11*k + 0*k**3 + 0*k**4 + 0 + 0*k**2. Factor f(l).
2*l**3*(l + 1)**2
Let f = 77653/5 - 15518. Find o, given that -147/5*o**4 - f*o**3 + 24/5 + 366/5*o**2 - 36*o = 0.
-2, 2/7, 1
Let y(d) be the second derivative of 0*d**4 - 1/168*d**7 + 0*d**2 + 1/40*d**6 + 25*d - 1/40*d**5 + 0 + 0*d**3. Let y(m) = 0. What is m?
0, 1, 2
Suppose -18 = -3*z - 3*b, 2*z - 5*z - b = -10. Let x be (3102/28435)/(2/(-20) - (-4)/10). Factor -2/11*s**3 + x*s**z - 2/11*s + 0.
-2*s*(s - 1)**2/11
Let p be (-4)/10 - (696/60 - 14). Determine g, given that -1/3*g**p - 1/3 - 2/3*g = 0.
-1
Determine z, given that -83*z - 132*z + 24*z**2 + 45796 - 20*z**2 + 1071*z = 0.
-107
Let p = -57 + 57. Suppose 4*w - 3*w = p. Factor 8/7 - 2/7*a**2 + w*a.
-2*(a - 2)*(a + 2)/7
Factor -11*o**3 + 37/7*o**4 + 0 + 0*o + 39/7*o**2 + 1/7*o**5.
o**2*(o - 1)**2*(o + 39)/7
Let z = -8 + 11. Let j = z - -4. Factor 2*y**4 + 28*y**5 - y**4 + j*y**4 + 0*y**4.
4*y**4*(7*y + 2)
Suppose 12*f**2 + 5914*f - 5988*f + 2*f**3 + 0*f**3 + 60 = 0. What is f?
-10, 1, 3
Let s(d) be the first derivative of 10*d**3/27 + 23*d**2/9 + 8*d/3 + 425. Factor s(k).
2*(k + 4)*(5*k + 3)/9
Let o(a) be the first derivative of -3/4*a**4 - 2/3*a + 12 - 20/9*a**3 - 13/6*a**2. Find c such that o(c) = 0.
-1, -2/9
Let r(u) = 4*u**2 + 4*u. Let k(x) = 4*x**2 + 4*x. Let c(m) = 4*k(m) - 5*r(m). Let y(g) = -21*g**2 - 20*g. Let o(d) = -11*c(d) + 2*y(d). Solve o(z) = 0.
-2, 0
Let n(c) be the first derivative of c**6/6 + 9*c**5/5 + 5*c**4 + 4*c**3 - 96. Factor n(d).
d**2*(d + 1)*(d + 2)*(d + 6)
Let s(g) = g**2 + 14*g - 9. Suppose -12 = -w + 3*w. Let q(p) = -15*p + 10. Let y(o) = w*q(o) - 5*s(o). Factor y(c).
-5*(c - 3)*(c - 1)
Let d(u) be the first derivative of 3*u**5/35 - 9*u**4/14 - 3*u**3/7 + 30*u**2/7 - 36*u/7 + 186. Factor d(g).
3*(g - 6)*(g - 1)**2*(g + 2)/7
Factor 24/13*u**3 + 0*u - 36/13*u**4 + 16/13*u**2 + 0 + 10/13*u**5.
2*u**2*(u - 2)**2*(5*u + 2)/13
Suppose 100*q**2 - 2 - 237*q - 16*q**3 + 85*q - 9 + 43 = 0. Calculate q.
1/4, 2, 4
Let r(p) be the first derivative of 100*p - 12*p**3 + 6 + 23 + 52*p**2 + p**4 - 22*p**2. Factor r(k).
4*(k - 5)**2*(k + 1)
Let p = 2657/9324 + 1/1332. Factor -p*d**3 - 32/7 + 2*d**2 - 16/7*d.
-2*(d - 4)**2*(d + 1)/7
Le