). Factor -q**x - 88*q**3 + 44 + 36*q + 8*q - 3*q**2 + 2*q**5 - 33*q**4 - 7*q**4 + 42*q.
2*(q - 22)*(q - 1)*(q + 1)**3
Let i(m) be the third derivative of m**6/960 + 3*m**5/40 + 16*m**3 - 4*m**2 - 5. Let a(p) be the first derivative of i(p). Factor a(j).
3*j*(j + 24)/8
Suppose m = 2*z + 18, -302*z - 62 = -4*m - 299*z. Let b be (2/m*-3)/(852/(-3976)). Factor -39/5*h - 6 + 9/5*h**b.
3*(h - 5)*(3*h + 2)/5
Let q be 8/(-4 + -1 - -7). Let l(v) be the first derivative of -6/13*v**q + 0*v - 2/65*v**5 - 32/13*v**3 - 64/13*v**2 - 2. Solve l(j) = 0 for j.
-4, 0
Let k(i) be the first derivative of 4*i**5/25 - 9*i**4 + 644*i**3/5 + 1058*i**2/5 - 233. Factor k(n).
4*n*(n - 23)**2*(n + 1)/5
Let b be 35/48 - (((-25)/72)/(-5))/((-14250)/(-12825)). Find p, given that 1/9*p**2 - b + 5/9*p = 0.
-6, 1
Let v(f) be the first derivative of -f**5/15 + f**4/12 + f**3/9 - f**2/6 + 32. Factor v(g).
-g*(g - 1)**2*(g + 1)/3
Let y be (-57)/(-132) + (-1)/4. Let n be 45/55 - (1464/132 - (1 + 10)). Determine m, given that 0 - 10/11*m**3 + 16/11*m**4 + 0*m - n*m**5 + y*m**2 = 0.
0, 1/2, 1
Let q = 39 - 34. Suppose q*u + 28 = 38. Let 40*x - 34 + 11 + 16 + 14*x**3 + 23 + u*x**4 + 36*x**2 = 0. What is x?
-2, -1
Let v = 315 - 316. Let w be (7/(-5) - v) + (-1464)/(-915). Factor -2/5*z**3 + 0 - w*z - 8/5*z**2.
-2*z*(z + 1)*(z + 3)/5
Let g(w) be the first derivative of w**5/240 + w**4/96 - w**3/4 - 9*w**2/2 + w + 86. Let p(a) be the second derivative of g(a). Factor p(y).
(y - 2)*(y + 3)/4
Let o = 1851917/360080 + -11/51440. Factor o*c**2 - 8/7*c**3 + 2 - 40/7*c - 2/7*c**4.
-2*(c - 1)**3*(c + 7)/7
Let h(k) be the second derivative of -k**7/147 - 2*k**6/21 - 19*k**5/70 + 31*k**4/21 + 128*k**3/21 - 160*k**2/7 + 4381*k. Determine r so that h(r) = 0.
-5, -4, 1, 2
Let v = 133 + -211. Let t = 82 + v. Factor 16 - 700*n + 700*n - t*n**2.
-4*(n - 2)*(n + 2)
Let h(j) be the second derivative of 2/3*j**3 - 8/3*j**4 - 7*j + 0*j**2 + 5 + 16/5*j**5. Determine n so that h(n) = 0.
0, 1/4
Let m = 247785/4 + -61136. Let u = 817 - m. Determine s, given that -u*s - 15/8*s**2 + 3 = 0.
-4, 2/5
Let o(w) be the first derivative of 0*w**3 + 11*w + 1/110*w**5 + 0*w**2 + 1/165*w**6 + 0*w**4 - 23. Let r(v) be the first derivative of o(v). Factor r(z).
2*z**3*(z + 1)/11
Let u(y) be the first derivative of -y**4/16 - y**3/2 - 11*y**2/8 - 3*y/2 + 1200. Solve u(k) = 0.
-3, -2, -1
Let c = 37 - 25. Suppose h - c = -5*h. Factor -3 + 29*u - 5 - 9*u - 19*u**h + 15*u**2 - 8*u**3.
-4*(u - 1)*(u + 2)*(2*u - 1)
Let v(f) be the third derivative of 0*f - 1/2415*f**7 + 0 + 3/230*f**5 - 9/92*f**4 + 0*f**3 + 1/460*f**6 - 64*f**2. Suppose v(s) = 0. What is s?
-3, 0, 3
Find x, given that -13*x**2 - 16*x**2 + 72*x**2 - 21*x**2 + 132 - 34*x - 20*x**2 = 0.
6, 11
Let v be (45/(-20))/(252/(-6432)). Let y = v + -1559/28. Factor -y*a**2 - 5/4*a**3 + 3/4 + 1/4*a.
-(a + 1)**2*(5*a - 3)/4
Let i(a) = 36*a**2 + 2653*a + 742. Let r(d) = -13*d**2 - 1324*d - 372. Let y(w) = 2*i(w) + 5*r(w). Find n such that y(n) = 0.
-2/7, 188
Let -4089 + 12891*y + 8088*y**3 + 5817 + 48*y**4 - 17799*y**2 - 11022*y**2 - 3276 = 0. What is y?
-172, 1/4, 3
Let k be 43/(-3)*3/2*-2. Let d = k + -40. Suppose 8 - 4*b**4 - 6*b**2 - 3*b**3 + b**2 + 20*b + 17*b**2 - b**d = 0. What is b?
-1, 2
Let s = 887 - 815. Suppose -79*x + 115*x = s. Factor -3/4*w**3 + 0 + 15/4*w - 3*w**x.
-3*w*(w - 1)*(w + 5)/4
Let n(b) be the first derivative of 98*b**6/3 + 3612*b**5/5 + 5303*b**4 + 34996*b**3/3 - 12768*b**2 + 3920*b - 1996. Determine x, given that n(x) = 0.
-7, -5, 2/7
Let b(t) be the first derivative of 5*t**3/3 - 100*t**2 + 555*t + 4044. Let b(c) = 0. Calculate c.
3, 37
Solve -88/5*m**2 + 16/5*m + 2/5*m**5 - 12/5*m**3 + 192/5 + 2*m**4 = 0.
-4, -3, -2, 2
Solve -180*o - 4788*o**3 - 27 - 99*o**4 - 354*o**2 + 2309*o**3 + 2191*o**3 - 12*o**5 = 0.
-3, -1, -1/4
Let y(b) be the first derivative of -6*b**5 + 93 + 10*b**4 + 5/6*b**6 + 10/3*b**3 - 45/2*b**2 + 20*b. Factor y(n).
5*(n - 4)*(n - 1)**3*(n + 1)
Let n(w) be the third derivative of 0*w**3 + 1/112*w**8 + 0*w**6 + 2*w**2 - 3/70*w**7 - 29 + 1/5*w**5 + 0*w**4 + 0*w. Determine l, given that n(l) = 0.
-1, 0, 2
Let d(m) be the third derivative of 1/90*m**6 - 1/2*m**4 + 1/45*m**5 + 0*m - 1 - 22*m**2 - 2*m**3. Let d(z) = 0. What is z?
-3, -1, 3
Let s(h) = 1177*h - 196556. Let g be s(167). Suppose 4*b - 3*q = 15, -6*q = -2*b - 3*q + 9. Factor -1 + 1/2*l**g + b*l - 9/4*l**2.
(l - 2)**2*(2*l - 1)/4
Let n(j) be the first derivative of -16/5*j**2 + 4/15*j**3 + 12*j - 174. Factor n(p).
4*(p - 5)*(p - 3)/5
Let c(g) be the first derivative of -g**4 + 2*g**2 + 658*g - 329*g - 122 - 341*g + 4*g**3. Factor c(a).
-4*(a - 3)*(a - 1)*(a + 1)
Let a(s) be the third derivative of -s**10/50400 + s**9/6720 - s**8/3360 + s**5/60 + 5*s**4/4 + 225*s**2. Let d(u) be the third derivative of a(u). Factor d(j).
-3*j**2*(j - 2)*(j - 1)
What is a in 1984/9*a + 172/9*a**4 + 1312/9*a**3 + 448/9 + 2656/9*a**2 - 20/9*a**5 = 0?
-2, -1, -2/5, 14
Let p(n) be the second derivative of -1300/3*n**4 + 680*n**3 - 19*n**6 + 5/6*n**7 + 0 - 7*n + 134*n**5 - 400*n**2. Find u such that p(u) = 0.
2/7, 2, 10
Solve 78*m - 1529*m**2 + 1571*m**2 + 3*m**3 + 38 - m**3 = 0.
-19, -1
Suppose 1123 - 6421 = -b + 5*f, -5*b + 26630 = 3*f. Let z be 68/170 - 2/((-10)/b). Factor -5*s**2 + 15*s - z + 1065.
-5*s*(s - 3)
Let d be (-1025)/164*24/(-5). Determine t, given that 35*t**3 - 35*t - d*t**3 - 20 + 5*t**2 + 15*t = 0.
-2, -1, 2
Let t(o) = 4*o**2 + 21. Let c be t(4). Let j = c + -80. Factor -6*v**3 + 6*v**5 + 2*v**2 + 2*v**5 - 6*v**5 - 2*v**4 + 9*v - j*v.
2*v*(v - 2)*(v - 1)*(v + 1)**2
Let f(p) = 2*p**5 + 16*p**4 + 52*p**3 + 54*p**2 + 16*p. Let c(j) = 4*j**5 + 31*j**4 + 105*j**3 + 108*j**2 + 30*j. Let v(r) = -2*c(r) + 5*f(r). Solve v(y) = 0.
-5, -2, -1, 0
Factor 8940 + 12048*v - 3114 + 5985 - 4*v**2 + 241.
-4*(v - 3013)*(v + 1)
Let w be (-13776)/5166*(-2)/4. Suppose 0*t + 0*t**3 - 20/3*t**2 + w*t**4 + 16/3 = 0. What is t?
-2, -1, 1, 2
Let a(w) = -w**3 + 8*w**2 - 26*w + 135. Let m be -2 - 115/(-60) - (-1445)/204. Let t be a(m). Suppose 8/7 + 2/7*l**3 - t*l + 4/7*l**2 = 0. What is l?
-4, 1
Let s = 337 + -317. Factor w + 32*w**4 - 49*w**4 - 17*w - 18 + 15*w**4 + s*w**2 + 16*w**3.
-2*(w - 9)*(w - 1)*(w + 1)**2
Let x = -14/17601 + 35272/88005. Factor 16/5*r + x*r**2 + 32/5.
2*(r + 4)**2/5
Let u(c) be the second derivative of 5*c**6/6 - 111*c**5/4 + 87*c**4 + 554*c**3/3 + 120*c**2 - 2648*c + 2. What is q in u(q) = 0?
-2/5, 3, 20
Let n(d) be the third derivative of d**6/1260 - d**5/14 - 31*d**4/84 - 77*d**3/3 - 7*d**2 + 5*d. Let o(u) be the first derivative of n(u). Factor o(c).
2*(c - 31)*(c + 1)/7
Let p = -10026070/21 - -477432. Factor -8/7*i + 24/7 + p*i**2.
2*(i - 6)**2/21
Suppose 14 + 2 = 8*v. Suppose -l + 4 - v = 0. Find g such that 16*g**l + 11 + 29*g - 3 - 65*g = 0.
1/4, 2
Let g = -1289 - -3791/3. Let p = -71/3 - g. Determine s, given that p*s**4 + 1/3*s**2 + 0 + 2/3*s - 8/3*s**3 = 0.
-2/5, 0, 1
Let v be (-5)/1 - ((-6564)/468 - -9). Let y(t) be the first derivative of 8/39*t**3 - 6 + 0*t + 0*t**4 + 0*t**2 - 6/65*t**5 + v*t**6. Let y(m) = 0. Calculate m.
-1, 0, 2
Let u(b) be the third derivative of -3*b + 2/525*b**7 + 1/120*b**6 + 0*b**4 + 38*b**2 + 0*b**3 + 1/150*b**5 + 1/1680*b**8 + 0. Factor u(d).
d**2*(d + 1)**2*(d + 2)/5
Let i = -36/12035 - -12143/36105. Suppose 0*d**2 - i*d**3 + 4/3*d + 0 = 0. What is d?
-2, 0, 2
Let g = -1/297915 - -21052787/37835205. Let h = 14/127 + g. Solve -4/3*b**2 + 2/3*b - 4/3*b**3 + h*b**5 + 2/3 + 2/3*b**4 = 0.
-1, 1
Let x(w) = w**3 + 11*w**2 + 14*w. Let f be x(-8). Suppose 20 = -12*p + f. What is z in -12*z - 17*z**3 - 52*z**3 + 95*z**2 + 14*z**3 - 33*z + p*z**4 = 0?
0, 1, 9
Suppose 5*v - 338 = 3*x - 0*x, -2*v = -3*x - 128. Factor -10*d**3 + v*d**2 - 25*d - 84*d**5 + 10*d**4 - 27*d**3 - 23*d**3 + 89*d**5.
5*d*(d - 1)**3*(d + 5)
Let x be (-10)/1 - 12/4. Let t(f) = 56*f - 24*f + 57 - 21*f**2 - 4. Let l(n) = -10*n**2 + 16*n + 26. Let v(c) = x*l(c) + 6*t(c). Factor v(m).
4*(m - 5)*(m + 1)
Let q = -276794 - -276796. Find r, given that -3717/2*r**3 - 522*r - 1323/2*r**4 + 3018*r**q + 24 = 0.
-4, 2/21, 1
Suppose 3*d**2 + 9*d**2 + 9*d**2 - 34*d**2 + 30*d + 11*d**2 + 368 = 0. Calculate d.
-8, 23
Let t = -24 - -24. Suppose 3*o + 3*x + 9 = t, 4*x = 3*o - o - 24. Let 2*s**3 + 