ond derivative of 1/60*s**6 + 0 + 12*s**2 - 19*s + 1/6*s**5 + 7/12*s**4 + s**3. Let o(q) be the first derivative of f(q). Factor o(u).
2*(u + 1)**2*(u + 3)
Let o be 11 - (9 - 10*1/10). Factor -4/13*d - 8/13*d**o - 10/13*d**2 - 2/13*d**4 + 0.
-2*d*(d + 1)**2*(d + 2)/13
Find o such that 237*o + 9*o**2 - 1282*o**3 + 10*o**2 + 311*o + 1298*o**3 - 767*o**2 + 184 = 0.
-1/4, 1, 46
Find d, given that -126*d - 2/3*d**5 + 68*d**3 - 32/3*d**4 + 0 - 48*d**2 = 0.
-21, -1, 0, 3
Let d = -138 + 1212. Let j = 1077 - d. Find k such that -20*k + j + 100/3*k**2 = 0.
3/10
Let p(f) be the second derivative of -f**6/4320 - f**5/72 - 19*f**4/288 - f**3 + 9*f**2/2 + 14*f + 5. Let s(c) be the second derivative of p(c). Factor s(u).
-(u + 1)*(u + 19)/12
Let h(r) be the first derivative of r**6/1080 - r**4/18 - 73*r**3 - 45. Let c(k) be the third derivative of h(k). Solve c(b) = 0.
-2, 2
What is q in -12/7*q - 2*q**2 + 0 + 0*q**3 + 2/7*q**4 = 0?
-2, -1, 0, 3
Determine w, given that 50/17*w + 232/17 - 2/17*w**2 = 0.
-4, 29
Find g, given that -224 - 264 - 895*g - 200*g**2 - 212 - 5*g**3 = 0.
-35, -4, -1
Let b be (-2)/8*(-53 - -45). Let r(v) be the third derivative of 1/8*v**4 + 1/2*v**3 - 18*v**b + 0 + 1/80*v**5 + 0*v. Solve r(p) = 0 for p.
-2
Let w(h) be the third derivative of 1/70*h**6 + 5*h**2 - 9/70*h**5 + 1/7*h**4 + 0*h + 0*h**3 + 1. Factor w(y).
6*y*(y - 4)*(2*y - 1)/7
Let g(c) be the first derivative of 3*c**4/16 - c**3 - 903*c**2/8 + 228*c - 6023. Factor g(o).
3*(o - 19)*(o - 1)*(o + 16)/4
Let b(m) = -m**3 - 6*m**2 - 49*m - 392. Let g be b(-7). Let l(w) be the first derivative of -1/2*w**2 + 1/9*w**3 - 29 + g*w. Factor l(p).
p*(p - 3)/3
Let x(o) be the third derivative of 0*o + 1/70*o**6 + 3/35*o**5 + 0*o**3 + 0 + 5/42*o**4 - 8*o**2 - 2/735*o**7. What is u in x(u) = 0?
-1, 0, 5
Let j(l) be the second derivative of l**4/9 + 98*l**3/9 - 100*l**2/3 + 95*l + 4. Determine q, given that j(q) = 0.
-50, 1
Factor -5*a**4 + a**4 + 16*a**2 + 40*a**2 - 44*a**3 - 8*a**2.
-4*a**2*(a - 1)*(a + 12)
Suppose -2*a = -18 - 6. Determine f so that 72*f**2 - 54*f + 2*f**5 - a*f**3 + 77*f**4 + 85*f**4 - 170*f**4 = 0.
-3, 0, 1, 3
Let i(m) = 11*m**3 - 464*m**2 + 1784*m - 1784. Let k(g) = -9*g**3 + 462*g**2 - 1785*g + 1782. Let v(u) = 3*i(u) + 4*k(u). Factor v(b).
-3*(b - 148)*(b - 2)**2
Factor 2041875/7 - 4950/7*g + 3/7*g**2.
3*(g - 825)**2/7
Let d(w) be the third derivative of -w**7/945 + w**6/270 + w**5/54 - w**4/18 + 42*w**2 - w + 5. Factor d(g).
-2*g*(g - 3)*(g - 1)*(g + 2)/9
Let k = -53526/35 - -1528. Let b = k + 709/140. Factor 9/2 + b*l - 3/4*l**2.
-3*(l - 6)*(l + 1)/4
Let d be 2/(16/24*6/(-130)). Let z be (52/d)/((-14)/10 - -1). Factor 7*a**z + 8*a - 7*a**2 - a**3 - 7*a**3 + 4 - 4*a**4.
-4*(a - 1)*(a + 1)**3
Let d(i) be the third derivative of -i**6/40 + 9*i**5/20 + 5*i**4/4 + 13*i**2 - 9*i + 4. Factor d(k).
-3*k*(k - 10)*(k + 1)
Factor 66*w**2 - 212*w**2 + 2408 + 150*w**2 - 372*w.
4*(w - 86)*(w - 7)
Let x(v) = -2*v**3 + 268*v**2 - v - 14*v - 4 - 281*v**2. Let t(w) = w**2 + w. Let s(i) = -5*t(i) - x(i). Factor s(p).
2*(p + 1)**2*(p + 2)
Factor -2031*b**2 + 4*b**3 - 1519*b**2 + b**3 - 203537920 - 1610*b**2 + 833499*b + 941541*b.
5*(b - 344)**3
Let a(y) be the third derivative of 0 - 1/30*y**6 - 14*y**2 + 0*y**3 + 2/105*y**7 - 4/15*y**5 + 0*y + 2/3*y**4. Determine d, given that a(d) = 0.
-2, 0, 1, 2
Let i(q) = 2*q**2 - 5 - 1436*q + 1433*q + 0*q**3 - q**3 - 3*q**3. Let b(g) = -g**3 + g**2 - g - 1. Let o = -3 + -2. Let p(m) = o*b(m) + i(m). Factor p(h).
h*(h - 2)*(h - 1)
Let d(w) be the first derivative of -18/7*w - 6/7*w**2 - 62 - 2/21*w**3. Factor d(h).
-2*(h + 3)**2/7
Let p(t) = -3*t**2 + 585*t - 1730. Let h(z) = 42*z**2 - 7614*z + 22491. Let r(f) = 2*h(f) + 27*p(f). Factor r(q).
3*(q - 3)*(q + 192)
Factor -5643/2*l + 10614483/4 + 3/4*l**2.
3*(l - 1881)**2/4
Let p(w) = -30*w**3 + 3*w**2 - 1 + 5*w**4 + 39*w**3 - 12*w**2 - 7*w. Let b(r) = -r**4 - r**3 - r**2 + r - 1. Let a(g) = b(g) - p(g). Factor a(x).
-2*x*(x - 1)*(x + 2)*(3*x + 2)
Suppose -5*b + 4*o - 28 = 0, -2*o = 45*b - 42*b - 14. Suppose b + 4/5*l**3 + 52/5*l + 56/5*l**2 = 0. Calculate l.
-13, -1, 0
Factor -1/2*a**3 - 33099/2*a - 156645/2 - 359/2*a**2.
-(a + 5)*(a + 177)**2/2
Let n(l) be the first derivative of 5*l**3/3 + 210*l**2 - 425*l + 980. Let n(u) = 0. What is u?
-85, 1
Factor 3*v**5 + 22 + 102*v**2 - 288*v**4 + 189*v - 5 + 252*v**4 + 61 + 0*v**2 - 48*v**3.
3*(v - 13)*(v - 2)*(v + 1)**3
Let v(r) be the first derivative of 3*r**4/4 + 806*r**3 - 4854*r**2 + 9720*r + 2111. Factor v(d).
3*(d - 2)**2*(d + 810)
Let x(y) be the second derivative of 3*y**5/50 + 3*y**4/4 - 5*y**3 + 19*y + 55. Factor x(z).
3*z*(z + 10)*(2*z - 5)/5
Suppose -111456*d + 111384*d + 216 = 0. Determine i, given that -5/6*i**d - 7/6*i**2 + 0 - 1/6*i**4 - 1/2*i = 0.
-3, -1, 0
Let w(m) = -3567*m - 110573. Let f be w(-31). Determine s, given that -1/6*s**f - 1/2*s**3 + 0 + 0*s - 1/3*s**2 = 0.
-2, -1, 0
Factor -2/7*d**2 - 284*d - 70574.
-2*(d + 497)**2/7
Let u(j) be the third derivative of j**5/60 + 41*j**4/24 - 493*j**3/3 - 2*j**2 - 13*j - 5. Determine b so that u(b) = 0.
-58, 17
Factor 18 + 6*p**3 - 1/2*p**4 - 27/2*p**2 - 2*p.
-(p - 9)*(p - 2)**2*(p + 1)/2
Let k be ((-5)/45 - -5)/(816/612). Suppose 19/3*z + 5/3 + k*z**2 - z**3 = 0. What is z?
-1, -1/3, 5
Determine f, given that 70959/2*f - 3/8*f**4 - 71937/4*f**2 + 327/2*f**3 - 141267/8 = 0.
1, 217
Let o = 79 + -71. Suppose -o*x + 15 = -3*x. Factor t**4 - 7*t**4 - 3*t**3 - 2*t**5 - t**x.
-2*t**3*(t + 1)*(t + 2)
Let a be (66/(-12) + 5)/((-1)/2). Let w(r) = 10*r**3 - 26*r**2 + 16*r + 44. Let l(k) = -2*k**3 + k + 1. Let i(t) = a*w(t) + 4*l(t). Factor i(y).
2*(y - 12)*(y - 2)*(y + 1)
Factor -547/2 - 1/4*f**2 - 1095/4*f.
-(f + 1)*(f + 1094)/4
Let y(a) be the second derivative of 1/15*a**4 - 1/25*a**6 + 1/5*a**3 + 80*a + 0 + 1/5*a**2 - 1/25*a**5 - 1/105*a**7. Factor y(f).
-2*(f - 1)*(f + 1)**4/5
Let p(d) be the third derivative of 0 + 1/36*d**5 - 1/360*d**6 - 29*d**2 + 0*d**3 + 0*d**4 + 0*d. Factor p(m).
-m**2*(m - 5)/3
Let q(k) be the first derivative of -2*k**3/9 + 14*k**2 - 640*k/3 - 9317. Factor q(p).
-2*(p - 32)*(p - 10)/3
Suppose -7*t - 3 = -6*t. Let p(s) = 5*s + 15. Let f be p(t). Find y such that 2*y**3 - 3*y**3 - 4*y + f*y**3 + 6*y**2 - y**3 = 0.
0, 1, 2
Let m(p) be the third derivative of -p**7/345 - p**6/345 + 14*p**5/345 + 4*p**4/69 + p**2 + 12. Solve m(t) = 0 for t.
-2, -4/7, 0, 2
Let k = -121 - -81. Let f be 2/(-5) + (-68)/k*2. Factor -581*p - 15*p**2 + 581*p + 5*p**f.
5*p**2*(p - 3)
Suppose -p = 3*j - 19, -p - p = 5*j - 37. Let t = p + -13. Factor 3*o**t - 16*o**2 + 39*o**2 - 20*o**2.
3*o**2*(o + 1)
Let w(p) be the first derivative of 2916*p**5/5 + 8746*p**4 + 46624*p**3 + 93120*p**2 - 512*p - 6963. Let w(j) = 0. Calculate j.
-4, 2/729
Find h such that 22*h**5 + 26329 + 1400*h**2 - 25657 + 1616*h + 88*h**4 - 18*h**5 + 540*h**3 = 0.
-14, -3, -2, -1
Let x(c) be the first derivative of c**6/510 + 3*c**5/170 - c**4/12 + 2*c**3/17 + c**2 - 15*c - 45. Let k(t) be the second derivative of x(t). Factor k(a).
2*(a - 1)*(a + 6)*(2*a - 1)/17
Determine p so that 171/5 + 173/5*p**2 - 343/5*p - 1/5*p**3 = 0.
1, 171
Let o = -43 - -5. Let l be (-2)/3 - o/6 - 5. Factor l*p**3 - 2*p + 0*p**2 + 4/3.
2*(p - 1)**2*(p + 2)/3
Let i(n) be the second derivative of n**4/36 + 5*n**3/9 + 25*n**2/6 + 1929*n. Factor i(f).
(f + 5)**2/3
Suppose -19*p**2 + 73*p + 81*p - 46 + 29*p + 23*p**2 = 0. What is p?
-46, 1/4
Let w(t) = -2*t**3 - t. Let n(k) = -25*k**3 - 55*k**2 - 60*k. Let d(v) = -n(v) + 10*w(v). Factor d(h).
5*h*(h + 1)*(h + 10)
Let d = -498 + 522. Let w(x) be the third derivative of 0 + 125/6*x**3 + d*x**2 + 25/12*x**4 + 0*x + 1/12*x**5. Solve w(o) = 0 for o.
-5
Let r(z) be the third derivative of -z**6/480 + 119*z**5/80 - 705*z**4/32 + 1053*z**3/8 + 638*z**2 + 2*z - 1. Find c, given that r(c) = 0.
3, 351
Suppose -6*n + 5*n = -192. Factor -95*u - n + 8*u**3 - 5*u**3 + 47*u + 12*u**2.
3*(u - 4)*(u + 4)**2
Let b(d) = -187*d + 564. Let c be b(3). Let t(n) be the second derivative of 3/2*n**2 + 1/4*n**c - 6*n + 0 - 1/8*n**4. Factor t(z).
-3*(z - 2)*(z + 1)/2
Let i(b) be the third derivative of b**5/150 - 77*b**4/2 + 2309*b**3/15 - 27*b**2 - 14*b + 2. Factor i(d).
2*(d - 2309)*(d - 1)/5
Let h = -14/54615 - -491647/436920.