ative of a(q). Factor g(j).
-3*(j + 1)**3
Suppose -5*k - 2*s + 33 = -0*k, -4*k + 5*s = 0. Factor 0*u**2 + 25*u + 45 - 7*u + k*u**2 + 12*u.
5*(u + 3)**2
Suppose 34*d = 411 + 201. Let i be 3264/918 - 4/d. Let -11/3*c**4 - 7/3*c + 5/3*c**5 + i*c**2 + 1/3 + 2/3*c**3 = 0. Calculate c.
-1, 1/5, 1
Let x = 96583/3 - 32166. Let y(m) be the first derivative of 7*m**5 + 0*m + 85/4*m**4 + 5/6*m**6 + 15*m**2 - 33 + x*m**3. Factor y(i).
5*i*(i + 1)**2*(i + 2)*(i + 3)
Let w(c) be the second derivative of c**7/8820 - c**6/840 + c**5/210 + 89*c**4/12 - 42*c - 2. Let k(s) be the third derivative of w(s). Solve k(y) = 0.
1, 2
Factor -1936/13*a**2 - 594/13*a**3 + 0 + 0*a - 2/13*a**5 - 60/13*a**4.
-2*a**2*(a + 8)*(a + 11)**2/13
Let c(v) be the second derivative of 1/54*v**4 + 16/27*v**3 - 17/9*v**2 - 53*v + 0. Find g such that c(g) = 0.
-17, 1
Let l(t) be the first derivative of -t**6/3 + 32*t**5/5 + 35*t**4/2 + 12*t**3 + 1816. Solve l(r) = 0.
-1, 0, 18
Let q(m) be the first derivative of -2*m**6/3 - 1752*m**5/5 - 47961*m**4 + 2580. Factor q(y).
-4*y**3*(y + 219)**2
Let v = 1/352 - -347/1760. Suppose -23 = -4*r - 5*d, -4*r + 0*d = -5*d + 7. Let 0*i + v*i**3 + 0*i**r + 0 = 0. Calculate i.
0
Let c(d) = -d - 19. Let b be c(8). Let x be -1 - b/1 - 5. Factor 89*w**2 - 15*w**4 - x*w**3 + 2*w**5 - 98*w**2 - 5*w**5.
-3*w**2*(w + 1)**2*(w + 3)
Let q(p) be the first derivative of p**6/16 - 39*p**5/5 + 1863*p**4/8 + 1458*p**3 + 2685. Factor q(z).
3*z**2*(z - 54)**2*(z + 4)/8
Find a, given that 38/7*a**4 - 5658/7*a**2 + 316/7 - 2930/7*a**3 - 2374/7*a = 0.
-1, 2/19, 79
Let -385*g + 303*g**3 + 18*g**4 + 170*g**5 - 155*g - 550*g**5 + 166*g**5 - 138*g**2 - 216 + 187*g**5 = 0. Calculate g.
-3, -2/3, 2, 3
Suppose 1/6*r**3 + 0 + 545/6*r**2 + 272/3*r = 0. What is r?
-544, -1, 0
Let j(s) be the third derivative of 7*s**2 + 0*s + 11/36*s**6 + 85/72*s**4 - 7/9*s**5 + 2 - 4/63*s**7 - 10/9*s**3 + 5/1008*s**8. Factor j(n).
5*(n - 4)*(n - 1)**4/3
Let o(q) be the first derivative of 5*q**3/3 - 135*q**2 - 560*q + 7357. Solve o(z) = 0.
-2, 56
Let g(o) be the third derivative of o**6/240 + 11*o**5/24 - 39*o**4/16 - 57*o**3/4 - o**2 - 115. Factor g(q).
(q - 3)*(q + 1)*(q + 57)/2
Let o(s) be the second derivative of s**6/45 + 10*s**5 + 7399*s**4/6 - 45602*s**3/9 - 570*s. Find a, given that o(a) = 0.
-151, 0, 2
Factor -776*p + 22/3*p**2 - 424/3.
2*(p - 106)*(11*p + 2)/3
Let x(p) be the third derivative of p**7/420 + 11*p**6/120 - 13*p**5/10 + 41*p**4/6 - 56*p**3/3 - p**2 + 13*p - 4. Suppose x(z) = 0. What is z?
-28, 2
Let h(c) be the second derivative of c**4/42 - 577*c**3/21 - 5*c - 885. Factor h(q).
2*q*(q - 577)/7
Let r(u) = -4*u**3 + 2*u**2 - 1. Let t(y) = -38*y**3 - 64*y**2 - 2*y + 74. Let z(b) = -10*r(b) + t(b). What is m in z(m) = 0?
-1, 1, 42
Let z(n) be the first derivative of 5*n**6/54 + n**5/15 - 13*n**4/4 + 241*n**3/27 - 28*n**2/3 + 4*n - 2582. Find f such that z(f) = 0.
-6, 2/5, 1, 3
Let y(j) be the third derivative of j**8/3192 - 2*j**7/399 - 69*j**6/380 + 396*j**5/95 - 180*j**4/19 - 10*j**2 + 78*j + 1. Let y(t) = 0. What is t?
-15, 0, 1, 12
Find s such that -4890*s**4 - 1124*s**3 - 8474*s + 4894*s**4 + 79520*s**2 - 46257*s - 23669*s = 0.
0, 1, 140
Let h(b) = -19*b + 652. Let g be (-15)/(-6)*(4284/(-35))/(-9). Let n be h(g). Factor -6*y - 3/2*y**2 + 3/2*y**3 + n.
3*(y - 2)*(y - 1)*(y + 2)/2
Determine p so that 278/7*p - 6/7*p**3 + 228/7 - 100/7*p**2 = 0.
-19, -2/3, 3
Let a(r) = 2*r**2 - 6*r - 6. Suppose -5*f = -30 + 35. Let q be a(f). Determine w so that -w**q + 1/5*w + 4/5 = 0.
-4/5, 1
Let x(n) be the third derivative of -n**7/1050 + n**6/150 + n**5/5 - 393*n**2 + 6. Find k such that x(k) = 0.
-6, 0, 10
Suppose -396/5*y - 112/5 - 14/5*y**2 = 0. Calculate y.
-28, -2/7
Let p(k) = -2*k**3 - 20*k**2 + k + 20. Let l(i) = -3*i**3 + i**2 + 2*i - 1. Let t(z) = -5*l(z) + 5*p(z). Find r, given that t(r) = 0.
-1, 1, 21
Suppose 0 = 34*y + 235 - 235. Let o(w) be the second derivative of 5/6*w**3 + y + 16*w - 25/4*w**2 - 1/24*w**4. Let o(k) = 0. What is k?
5
Let n(a) be the second derivative of a**7/16 + 3*a**6/8 - 57*a**5/40 - 31*a**4/4 + 24*a**3 + 24*a**2 - 1705*a. Find j, given that n(j) = 0.
-4, -2/7, 2
Let i(p) be the second derivative of -p**5/10 - 41*p**4/6 - 79*p**3/3 - 39*p**2 - 161*p - 5. Factor i(x).
-2*(x + 1)**2*(x + 39)
Factor -4*l**3 - 404*l**2 - 29 - 80*l + 756*l**2 - 19 - 388*l**2.
-4*(l + 1)*(l + 2)*(l + 6)
Let l(h) be the first derivative of h**4/12 - 4*h**3 + 72*h**2 - 13*h - 32. Let w(d) be the first derivative of l(d). Factor w(u).
(u - 12)**2
Determine o so that -185*o**2 - 95*o - 45*o**3 + 419*o**2 - 5*o**4 - 134*o**2 - 30 - 205*o**2 = 0.
-6, -1
Let l be -4*10/(200/(-15)). Let s(n) be the third derivative of 0*n + 1/480*n**6 + 27*n**2 + 0 + 0*n**l - 1/96*n**4 + 0*n**5. Suppose s(w) = 0. What is w?
-1, 0, 1
Let h(g) be the first derivative of -9*g**4/8 + 3715*g**3/2 - 1857*g**2/2 + 1931. Factor h(x).
-3*x*(x - 1238)*(3*x - 1)/2
Determine m, given that -4/3*m**2 - 192*m - 572/3 = 0.
-143, -1
Let r(t) = 76*t + 532. Let y be r(-7). Let u be (y - 0)*(-27)/(-81). Factor 0*l - 5/4*l**3 + u + 1/4*l**4 + 3/4*l**2 + 1/4*l**5.
l**2*(l - 1)**2*(l + 3)/4
Let o(v) be the third derivative of 0*v**3 + 1/90*v**5 + 0 + 7/36*v**4 + 0*v + 30*v**2. Factor o(y).
2*y*(y + 7)/3
Let s = 1333 - 1329. Let n(d) be the third derivative of 5/8*d**s + 0*d + 1/3*d**5 + 20*d**2 + 5/72*d**6 + 0 + 5/9*d**3. Factor n(t).
5*(t + 1)**2*(5*t + 2)/3
Solve -3370205/6 - 5/6*x**2 - 4105/3*x = 0 for x.
-821
Let g(w) be the second derivative of 3*w**5/70 - 38*w**4/21 + 143*w**3/21 - 10*w**2 + 179*w - 2. Find f, given that g(f) = 0.
1, 70/3
Let i(u) be the first derivative of -u**3/9 + 185*u**2/6 - 724*u/3 - 4588. Factor i(w).
-(w - 181)*(w - 4)/3
Let v(s) be the third derivative of -s**6/1140 - 17*s**5/570 + 41*s**4/228 + s**3 - 3244*s**2. Find a, given that v(a) = 0.
-19, -1, 3
Suppose -15*m = -3*m. Let d be (-9 - (-8 - m))/((-8)/2). Solve -9/4 - d*r**2 - 3/2*r = 0 for r.
-3
Let x(v) be the first derivative of 4*v**5/5 + 60*v**4 + 372*v**3 + 440*v**2 - 1288. Factor x(r).
4*r*(r + 1)*(r + 4)*(r + 55)
Let i(u) be the first derivative of 3/20*u**4 + 0*u**2 + 0*u - 3/5*u**3 + 1/30*u**6 + 5 + 1/5*u**5. Factor i(j).
j**2*(j - 1)*(j + 3)**2/5
Suppose -114*p**2 + 45*p**3 - 31990 + 72*p + 31990 - 3*p**4 = 0. What is p?
0, 1, 2, 12
Let f = 4/3591 - -581698/39501. Factor -38/11*l**2 + 2/11*l**3 + 18*l - f.
2*(l - 9)**2*(l - 1)/11
Let g(v) = -7*v**3 - 49*v**2 + 166*v + 1162. Let u be g(-7). Factor -2/5*w**3 + u*w + 0 - 56/5*w**2.
-2*w**2*(w + 28)/5
Determine c so that 5*c**2 + 66509 + 1398*c - 67909 - 3*c**2 = 0.
-700, 1
Let l be 270/55 - (-4)/(-22). Let x be (5 + 2/(-2))*(-11)/(-242). Let l*d**2 - 48/11*d**3 - 18/11*d + x = 0. Calculate d.
1/4, 1/3, 1/2
Let 7544/21*u**2 - 8464/21*u + 2252/21*u**3 - 498/7*u**4 + 0 + 54/7*u**5 = 0. What is u?
-2, 0, 1, 46/9
Let l = -7165 + 7210. Let c(z) be the second derivative of 1/30*z**5 + 0*z**2 + 0 + 0*z**3 + 1/90*z**6 + 1/36*z**4 - l*z. Find f such that c(f) = 0.
-1, 0
Let g(y) be the first derivative of -y**3/12 - 289*y**2/2 - 83521*y + 217. Solve g(f) = 0.
-578
Factor 0 + 2/11*x**2 + 744/11*x.
2*x*(x + 372)/11
Let b(h) = -21*h**2 + 7*h + 444. Let u(d) = 25*d**2 - 5*d - 445. Let o(w) = -5*b(w) - 4*u(w). Factor o(i).
5*(i - 11)*(i + 8)
Suppose -5*c + 2*f + 18 = 0, 0 = -c + f + 1 + 2. Factor 4*x**2 + 2*x + 3*x - 4*x**3 - 7*x - x**c - 9*x**2.
-x*(x + 1)**2*(x + 2)
Let n(d) be the third derivative of 2*d + 49/900*d**6 - 16/9*d**3 + 0 - 56/25*d**5 + 52*d**2 + 47/15*d**4. Factor n(p).
2*(p - 20)*(7*p - 2)**2/15
Let u(i) = i + 2 - i**2 - 2 + i**3. Let b = 462 - 461. Let o(q) = -q**4 + 3*q**3 + 3*q**2 - 3*q. Let d(j) = b*o(j) + 3*u(j). Factor d(h).
-h**3*(h - 6)
Let a(x) be the third derivative of -1/12*x**5 + 175/24*x**4 + 0 + 59*x**2 - 85/3*x**3 + 0*x. Determine w, given that a(w) = 0.
1, 34
Let 51*b**3 + 47*b**3 + 716*b**2 + 64*b - 1372*b**5 - 7 + 15 - 72 - 1862*b**4 + 0*b**3 = 0. Calculate b.
-1, -4/7, 2/7, 1/2
Let m(q) = 23523*q - 117613. Let w be m(5). Factor -4 + 32/5*i**3 + 64/5*i - 4/5*i**4 - 72/5*i**w.
-4*(i - 5)*(i - 1)**3/5
Let v(l) be the first derivative of -1/480*l**6 + 0*l + 1/60*l**5 - 3*l**2 - 5/96*l**4 + 1/12*l**3 + 43. Let c(t) be the second derivative of v(t). Factor c(