i.
-v**2/4
Let q(w) be the third derivative of 567/80*w**6 + 279/20*w**5 + 185/16*w**4 - 15 + w**2 + 41/8*w**3 + 0*w + 27/280*w**7. Factor q(c).
3*(c + 41)*(3*c + 1)**3/4
Let x be ((2*(-1 + 9))/(-18))/(16/(-12)). Determine z so that 2/3*z + 0 + x*z**2 = 0.
-1, 0
Factor -189*u**3 + 5424*u**2 + 187*u**3 + 828783*u + 397432637 + 1080093891 - 5732079*u.
-2*(u - 904)**3
Let y(o) be the second derivative of o**5/180 + 5*o**4/108 - o**3/54 - 5*o**2/18 + 622*o. Factor y(b).
(b - 1)*(b + 1)*(b + 5)/9
Let c(a) = 12*a**3 + 55*a**2 + 41*a. Let w = -1497 + 2343. Let i(z) = w*z + 13*z**2 - 832*z + 5*z**2 + 4*z**3. Let m(t) = -2*c(t) + 7*i(t). Factor m(o).
4*o*(o + 2)**2
Let p be 187 + -178 - 84/12. Find z such that 2/7*z**4 + 2/7*z**3 + 0*z + 0 + 0*z**p = 0.
-1, 0
Let v(u) be the first derivative of u**5/15 + 25*u**4/3 + 764*u**3/3 - 5200*u**2/3 + 10816*u/3 + 670. Factor v(n).
(n - 2)**2*(n + 52)**2/3
Let c be 1 - (-9)/((-27)/(-12)). Suppose -c = -3*o + 7. Let -3*q**2 + 6*q**2 - 6 - o*q - q**2 = 0. Calculate q.
-1, 3
Let a(o) = 6*o**2 + o - 1. Let r(v) = 61*v**2 - 996*v + 252999. Let x(q) = 30*a(q) - 3*r(q). Solve x(p) = 0.
503
Suppose 62 = t - 4*n, 3*t - 4*n - 116 = 46. Factor -76*q**2 - 18/5*q**4 - t + 122/5*q**3 + 105*q + 1/5*q**5.
(q - 5)**3*(q - 2)*(q - 1)/5
Suppose -121 - 14 = -5*t. Let i = -23 + t. Factor 2 + 1 - 2*g**2 + i - 5.
-2*(g - 1)*(g + 1)
Let u(z) be the second derivative of -z**6/9 + 151*z**5/10 + 107*z**4/3 + 184*z**3/9 + 961*z + 2. Find k such that u(k) = 0.
-1, -2/5, 0, 92
Let l = -227703 + 227706. Factor -1/2*a + a**l - 1/2*a**4 - 1/2*a**5 + a**2 - 1/2.
-(a - 1)**2*(a + 1)**3/2
Let d(b) be the first derivative of -b**5/45 - b**4/18 + 61*b**3/27 + 151*b**2/9 + 40*b + 5620. Solve d(q) = 0.
-5, -4, -2, 9
Let a(f) be the second derivative of -f**4/90 + 232*f**3/45 - 13456*f**2/15 + 58*f + 6. Suppose a(t) = 0. Calculate t.
116
Let p(y) be the second derivative of 6*y**6/5 + 51*y**5/5 + 76*y**4/3 - 8*y**3/3 - 96*y**2 + 4*y - 402. Determine i so that p(i) = 0.
-3, -2, -4/3, 2/3
Let k(f) = 4*f**3 + 90*f**2 - 135*f + 218. Let y be k(-24). Let -2/7*a**5 + 0*a + 0 - 16/7*a**3 - 10/7*a**4 - 8/7*a**y = 0. Calculate a.
-2, -1, 0
Let r = 238 - 106. Factor 7 - 47 - 41 - 3*y**3 - 30 + 273*y - 27 - r*y**2.
-3*(y - 1)**2*(y + 46)
Suppose -58/3*s + 11*s**2 - 1/6*s**4 + 29/6*s**3 - 124/3 = 0. What is s?
-2, 2, 31
Let z be -9 + (-17 + 13 - (-133)/28 - (-70)/8). Let u = -47/2 - -24. Factor u - z*r**2 + 0*r.
-(r - 1)*(r + 1)/2
Let d(p) be the second derivative of -p**5/80 - 13*p**4/24 - 51*p**3/8 + 45*p**2/2 + p + 261. Factor d(b).
-(b - 1)*(b + 12)*(b + 15)/4
Let k(r) be the second derivative of r**6/195 + 29*r**5/65 + 134*r**4/13 - 58*r**3/39 - 805*r**2/13 + 2*r - 1861. Suppose k(z) = 0. Calculate z.
-35, -23, -1, 1
Factor 2/9*y**5 + 0*y**2 + 0*y - 8/9*y**4 + 0 + 8/9*y**3.
2*y**3*(y - 2)**2/9
Let x(p) be the first derivative of -2*p**4 + 7*p**3 - p**2/2 + 5*p - 153. Let n(z) = 4*z**3 - 9*z**2 - 2. Let m(a) = 7*n(a) + 3*x(a). Factor m(o).
(o + 1)*(2*o - 1)**2
Suppose -4*s = 0, 5*a - 2*s = 11 - 1. Let u be (a/(-9))/(80/90 - 1). Factor -2/13*m**3 + 0 + 8/13*m**u - 6/13*m.
-2*m*(m - 3)*(m - 1)/13
Let i be (-54)/(-189)*(-28)/(-3). Suppose -i*z - 2/3*z**3 + 10/3*z**2 + 0 = 0. Calculate z.
0, 1, 4
Let p(q) be the second derivative of q**4/6 + 1474*q**3/3 + 543169*q**2 - q + 511. Determine i so that p(i) = 0.
-737
Let b(g) be the third derivative of g**8/720 + g**7/7560 - 11*g**4/8 - g**3/3 - 114*g**2. Let x(j) be the second derivative of b(j). Factor x(v).
v**2*(28*v + 1)/3
Let n(h) be the third derivative of -1/30*h**6 + 0*h + 1/336*h**8 + 329*h**2 + 1/30*h**5 + 0*h**7 - 1/3*h**3 + 1/8*h**4 + 0. Factor n(b).
(b - 1)**3*(b + 1)*(b + 2)
Let l(i) = -i**3 - 11*i**2 - 25*i - 29. Let d(q) = 4*q**2 - 20*q**2 - 1 + 8*q**2 + 7*q**2 + q. Let t(j) = 10*d(j) - 5*l(j). Find z such that t(z) = 0.
-3
Factor 4/3*l**5 + 1319200/3*l - 237140/3*l**2 - 2312000/3 + 484/3*l**4 + 10636/3*l**3.
4*(l - 5)**3*(l + 68)**2/3
Let a(k) be the third derivative of 3*k**7/175 + 19*k**6/300 - 7*k**5/150 - 19*k**4/60 - 2*k**3/15 - 35*k**2 - 2. Solve a(z) = 0.
-2, -1, -1/9, 1
Let t(p) be the second derivative of -p**6/75 - 11*p**5/50 + 3*p - 12. Factor t(j).
-2*j**3*(j + 11)/5
Suppose -19*v + 31 = -64. Factor 4*q**v - 4*q**5 - 2*q**5 - 6*q**4 - 6*q**3 - 9*q**2 + 7*q**2.
-2*q**2*(q + 1)**3
Let b(t) be the second derivative of t**6/180 + 3*t**5/4 + 11*t**4/3 + 131*t**3/18 + 29*t**2/4 - 716*t. Let b(m) = 0. Calculate m.
-87, -1
Let s(g) be the second derivative of 3/140*g**5 + 16/7*g**3 + 5/14*g**4 + 0 + 48/7*g**2 + 44*g. Factor s(t).
3*(t + 2)*(t + 4)**2/7
Determine r, given that 0 - 139/8*r**3 + 1/8*r**5 + 47/4*r**2 + 0*r + 11/2*r**4 = 0.
-47, 0, 1, 2
Let s be 22/55 - 94/10. Let n be 2/s + -3*10/(-135). Let 2/15*w**4 + n*w**3 - 2/5*w**2 + 0 - 4/15*w = 0. Calculate w.
-1, 0, 2
Let n(d) = -5*d**3 - 36*d**2 + 457*d + 424. Let j(y) = -y**3 + y**2 + 16*y - 2. Let q(a) = 4*j(a) - n(a). Factor q(w).
(w - 9)*(w + 1)*(w + 48)
Let n = -10703/216 + 595/12. Let o(x) be the third derivative of 1/18*x**3 + 0*x + 1/270*x**5 - 12*x**2 + n*x**4 + 0. Factor o(f).
(f + 3)*(2*f + 1)/9
Let v = 349 - 57584/165. Let w(u) be the second derivative of 0*u**2 + 0*u**4 + u + 0 + 0*u**3 + 1/55*u**5 + v*u**6. Find p, given that w(p) = 0.
-2, 0
Let q = -657 - -660. Factor -182*a**4 + 600*a**2 - 15*a - 305*a**2 - 318*a**4 - 1400*a**q.
-5*a*(a + 3)*(10*a - 1)**2
Suppose -3*q + 25 = -4*g, 0*q - 4*g - 19 = -q. Let b = 17753 - 71011/4. Let -1/2*d + 0 - b*d**q - 3/4*d**2 = 0. What is d?
-2, -1, 0
Suppose 63*x = -178*x - 21*x + 524. Let c be (12/(-45))/((-2)/5). Factor c*m**x - 2*m - 8/3.
2*(m - 4)*(m + 1)/3
Let z(h) be the third derivative of -h**7/105 + 7*h**6/60 + h**5 + h**4/3 - 40*h**3/3 - 673*h**2. Factor z(n).
-2*(n - 10)*(n - 1)*(n + 2)**2
What is d in 40/3*d + 4*d**5 - 52/3*d**2 + 52/3*d**4 - 52/3*d**3 + 0 = 0?
-5, -1, 0, 2/3, 1
Let g(f) be the third derivative of -f**6/240 + 7*f**5/20 - 431*f**4/48 + 65*f**3/2 - 2864*f**2. Let g(w) = 0. What is w?
1, 15, 26
Let z(t) = 171*t**2 + t - 13. Let v(g) = 79*g**2 - 6. Let s(m) = 13*v(m) - 6*z(m). Factor s(j).
j*(j - 6)
Let g(r) be the first derivative of 2/9*r**3 + 0*r - 61 + 1/6*r**4 + 0*r**2. Factor g(s).
2*s**2*(s + 1)/3
Let f(q) be the second derivative of q**5/80 - 43*q**4/12 + 880*q**3/3 + 3872*q**2 + 2102*q. Factor f(g).
(g - 88)**2*(g + 4)/4
What is b in 106*b - 4*b**5 + 108*b**4 + 541*b**2 - 676 - 776*b**3 + 27*b**2 + 553*b + 121*b = 0?
-1, 1, 13
Suppose -26 = -2*y - 2*r, 0*y - 2*r = -y + 4. Suppose -y*u + 17 = -3. Factor -10*k - 2*k**u + 5 - k + 11 + 15*k.
-2*(k - 4)*(k + 2)
Let r(u) = 1 - 7 - 3 + u**2 + 4*u. Let x be r(-7). Let -2*c**2 - 8*c**2 + 14*c**2 - 12*c + x - 4*c = 0. Calculate c.
1, 3
Let t(r) = r**2 + 2*r - 7. Let d be t(-4). Let z be 2/d - (-1 + -1). Suppose -7*b - 9 + 1 - z*b**3 + 11*b + 8*b**2 = 0. What is b?
-1, 1, 2
Let v(g) = -g. Let z(o) = o**2 - 13*o - 2. Let d(s) = -2*v(s) - z(s). Let f be d(15). Solve 4*x**2 + x**4 + 3*x**2 + 11*x**2 - 15*x**f + x + 3*x**3 = 0 for x.
-1, 0
Suppose -5*i - 4 = -189. Factor 34*n**3 + 2*n + 3 + n - i*n**3 - 2*n**2 + 0*n - n**2.
-3*(n - 1)*(n + 1)**2
Let j be (((-35)/2)/7)/((-47)/94). Let b = 2/793 - -15059/3172. Solve -1/4*r**j - 1 - b*r**3 - 4*r - 25/4*r**2 - 7/4*r**4 = 0 for r.
-2, -1
Let w(x) be the third derivative of x**8/8960 + x**7/1260 - x**6/720 - 8*x**5/15 - x**3/3 + 9*x**2 - 2*x. Let q(r) be the third derivative of w(r). Factor q(c).
(c + 2)*(9*c - 2)/4
Let f(h) be the first derivative of -3/5*h**2 + 10 - 8/15*h - 1/30*h**4 - 4/15*h**3. Suppose f(q) = 0. What is q?
-4, -1
Suppose -428*g + 425*g + 10 = u, -5*g = -u - 30. Let f(r) be the second derivative of -21*r + r**4 - r**g + 6*r**3 + 0 + 0*r**2 + 2/15*r**6. Factor f(t).
4*t*(t - 3)**2*(t + 1)
Let b = 631243 + -1892735/3. Find s, given that -128/3*s**5 - 686/3 + b*s**2 - 416/3*s**4 + 40/3*s**3 + 196/3*s = 0.
-7/4, 1
Let q(i) = 3*i**4 - 4*i**3 + 34*i**2 - 96*i - 125. Let l(j) = 2*j**4 - 2*j**3 + 33*j**2 - 97*j - 125. Let o(w) = -4*l(w) + 3*q(w). Factor o(a).
(a - 5)**2*(a + 1)*(a + 5)
Let x(v) be the third derivative of 3*v**5/5 + 31*v**4/6 - 40*v**3/3 + 1349*v**2. Factor x(r).
4*(r + 4)*(9*r - 5)
What is k in -843/2 - 1683/2*k + 3/2*k**3 - 837/2*k**2 = 0?
-1