 + 459*q = 0.
-1, 160/7
Let j(d) be the third derivative of -d**6/68 + 2*d**5/255 + 5*d**4/17 - 16*d**3/51 + d**2 + 936*d + 2. Suppose j(w) = 0. Calculate w.
-2, 4/15, 2
Suppose 52*s**3 - 1/2*s**5 + 0 - 23/2*s**4 - 54*s**2 + 0*s = 0. Calculate s.
-27, 0, 2
Suppose 0 = 60*k - 57*k - 15. Suppose 0 = 5*z - 2*q - 59 - 50, -4*q - 113 = -k*z. What is j in z*j - 9*j**2 - 34*j - 8*j + 18 = 0?
-3, 2/3
Factor 77/5*v + 234 - 1/5*v**2.
-(v - 90)*(v + 13)/5
Suppose -2788 = -39*c - 214. Let p be (-18)/27 + 539/c. What is h in -9/2*h**3 + 3/4*h + 15/4*h**5 - p*h**2 + 9/4 + 21/4*h**4 = 0?
-1, 3/5, 1
Let y(r) be the first derivative of 24/7*r**2 - 16/35*r**5 - 16/21*r**3 + 0*r - 13/7*r**4 - 166. Factor y(n).
-4*n*(n + 2)**2*(4*n - 3)/7
Suppose r - 4 = -0*r, 4*g = 5*r - 8. Let i be (-4)/(-35) - ((-12)/14)/g. Let -4/5*c**3 - 1/5*c**4 - i*c - c**2 + 0 = 0. What is c?
-2, -1, 0
Let u be 15 - ((-2)/(-13))/((-260)/(-21970)). Factor 0 + 4/9*b + 8/9*b**u + 1/9*b**4 + 5/9*b**3.
b*(b + 1)*(b + 2)**2/9
Let m(g) be the first derivative of 58 + 15*g + 5/3*g**3 + 25/2*g**2 - 5/4*g**4. Factor m(r).
-5*(r - 3)*(r + 1)**2
Let n(c) = c**3 - c**2 - 5*c + 4. Let t be n(3). Suppose -t*v + 0*v + 49 = 0. Factor -77*m**2 - 16 - 8*m**3 + 28*m**4 + 55*m - 11*m + 36*m - v*m**2.
4*(m - 1)**2*(m + 2)*(7*m - 2)
Let h(c) be the first derivative of -c**6/39 + 34*c**5/65 - 34*c**4/13 + 200*c**3/39 - 48*c**2/13 - 1957. What is n in h(n) = 0?
0, 1, 2, 12
Let g = -70 - 30. Let x be (2 + 215/g)/((-4)/16). Suppose 9/5*s**3 - 9/5*s + x*s**4 + 3/5*s**2 - 6/5 = 0. What is s?
-2, -1, 1
Let w(h) = -h**3 - h**2 + 2*h + 1. Let i(f) = 2*f**3 + 14*f**2 + 10*f - 323. Let b(o) = i(o) + 3*w(o). Factor b(j).
-(j - 8)**2*(j + 5)
Suppose 17*j = 34*j - 1020. Let y be ((-27)/j)/(-7 - (-27)/4). Suppose -y*t**2 - 3/5*t + 0 = 0. What is t?
-1/3, 0
Let c = 2291 - 6871/3. Let n(a) be the second derivative of 0 + 31*a + c*a**3 - 1/6*a**4 - a**2. Solve n(o) = 0.
1
Let l(p) be the third derivative of 125*p**8/336 + 15*p**7/7 + 43*p**6/12 + p**5/3 - 25*p**4/8 + 5*p**3/3 + 820*p**2. Suppose l(n) = 0. What is n?
-2, -1, 1/5
Let m(j) = -j**5 - j**4 + 10*j**3 - j**2 + j - 1. Let t(h) = -22*h**5 - 86*h**4 - 168*h**3 - 46*h**2 - 14*h + 6. Let k(z) = -6*m(z) - t(z). Factor k(s).
4*s*(s + 1)**3*(7*s + 2)
Let w = 12393 + -12391. Factor -116/11*z**w + 2*z**3 + 166/11*z - 72/11.
2*(z - 1)**2*(11*z - 36)/11
Let m(n) be the first derivative of n**4/22 + 16*n**3/33 + 5*n**2/11 - 28*n/11 + 273. Factor m(u).
2*(u - 1)*(u + 2)*(u + 7)/11
Let i(w) be the first derivative of 4*w**6/15 + 9*w**5/10 + w**4/3 - 37*w + 48. Let c(m) be the first derivative of i(m). Let c(u) = 0. Calculate u.
-2, -1/4, 0
Let y(q) be the first derivative of -q**4/2 + 8*q**3/3 + 21*q**2 - 2250. Factor y(h).
-2*h*(h - 7)*(h + 3)
Find a, given that -24*a**4 + 40*a**3 + 632*a + 96*a**2 - 2*a**5 - 856*a + 24*a**3 = 0.
-14, -2, 0, 2
Let y(z) be the third derivative of -11*z**7/105 - 227*z**6/60 + 14*z**5/5 - 1327*z**2. Determine a, given that y(a) = 0.
-21, 0, 4/11
Let q(m) = 2*m**3 - 19*m**2 + 17*m - 38. Let k be q(9). Suppose 92*p - 28*p**3 - 6*p**2 - 6*p**2 - k + 31 + 4*p**4 - 22 - 31 = 0. What is p?
-2, 1, 7
Let u = 806014 + -2417978/3. Factor 512/3 + 2/3*f**2 + u*f.
2*(f + 16)**2/3
Let o = -353 - -355. What is u in 21*u**2 + 9*u**2 - 54 + 17*u**2 - 291*u - 14*u**o = 0?
-2/11, 9
Let c(y) be the first derivative of 2*y**3/27 + 20*y**2 + 118*y - 4097. Factor c(o).
2*(o + 3)*(o + 177)/9
Let y(h) be the first derivative of -3*h**5/40 + h**4/4 + 94*h - 7. Let c(q) be the first derivative of y(q). Factor c(a).
-3*a**2*(a - 2)/2
Suppose -26*i = -22*i - 440. Let o = i - 102. Factor -16*m**2 - o*m + 23*m**2 - 6 - 9*m**2.
-2*(m + 1)*(m + 3)
Let w be -388*7/(-112) - 1/4. Let z be (1/6)/(-4*(-2)/w). Factor 1/6*h**5 + 1/3*h**3 - z*h - 1/2*h**4 + 1/3*h**2 + 1/6.
(h - 1)**4*(h + 1)/6
Let q(j) = j**3 + 6*j**2 - 18*j + 8. Let y be q(-8). Find t such that 3*t**4 + 32*t**3 + 0*t**5 + 3*t**5 + y*t**4 + 3*t**4 + 16*t**3 = 0.
-8, -2, 0
Let l(n) = -n**2 + 2*n + 146. Let g be l(0). Factor -286*x**2 + 3*x**5 - 3*x - 6*x**4 + 146*x**2 + g*x**2.
3*x*(x - 1)**3*(x + 1)
Let j = 240679/2 - 120338. Factor 0 - 5/4*n - j*n**2 - 1/4*n**3.
-n*(n + 1)*(n + 5)/4
Let f(s) = -36*s**2 + 139*s - 225. Suppose 0 = 5*g + 22 - 12. Let w(x) = 7*x**2 - 28*x + 45. Let d(i) = g*f(i) - 11*w(i). Factor d(h).
-5*(h - 3)**2
Suppose -8*b + y + 2 = -10*b, -2*b + 5*y = -22. Let n(d) = d - 1. Let o(m) = 3*m**2 - 5*m + 5. Let r = -1 - -6. Let k(a) = b*o(a) + r*n(a). Factor k(j).
3*j**2
Factor 515*s - 148 + 15*s**3 - 146*s**2 - 2 + 29*s**2 - 83*s**2.
5*(s - 10)*(s - 3)*(3*s - 1)
Let b(o) = -3*o**3 - 8*o**2 - 7*o - 7. Let y be b(-7). Let i = 684 - y. Let 208/15*n**3 + 12/5*n**i + 8/15 + 46/5*n**4 + 56/15*n + 154/15*n**2 = 0. Calculate n.
-1, -2/3, -1/2
Let j(l) be the second derivative of -2*l**5/5 - 36*l**4 - 1071*l**3 - 7803*l**2 + 245*l. Suppose j(d) = 0. What is d?
-51/2, -3
Factor -20*h**2 - 153*h**3 - h**4 - 154 + 29*h**2 + 146*h**2 + 87*h + 66*h.
-(h - 1)**2*(h + 1)*(h + 154)
Let j be 348 + -330 + -2 + (-14 - -1). Solve -112/9*w - 8/9*w**j + 22/3*w**2 + 8/3 = 0.
1/4, 2, 6
Let o(n) be the second derivative of n**5/70 - 178*n**4/21 + 4475*n**3/3 + 64082*n**2/7 + 1088*n. What is l in o(l) = 0?
-2, 179
Let u(o) be the first derivative of o**5/30 - 7*o**4/8 + 6*o**3 + 35*o**2/3 - 200*o + 1362. Factor u(i).
(i - 10)**2*(i - 4)*(i + 3)/6
Let k = 12875/1432 + -345/1432. Find q such that -25/2*q**2 + 15/2*q**3 + k*q - 9/4 - 5/4*q**4 - 1/4*q**5 = 0.
-9, 1
Let f be 6*(-10)/(-20) - (-10 - 183/(-15)). What is y in f*y**2 - 48/5*y + 44/5 = 0?
1, 11
Determine z so that 4/5*z**5 + 276/5 - 586/5*z - 118/5*z**2 + 106/5*z**4 + 318/5*z**3 = 0.
-23, -3, -2, 1/2, 1
Let m(r) be the second derivative of -1 + 4*r**2 + 26/3*r**3 + r + 8*r**4 + 9/5*r**5. Solve m(o) = 0.
-2, -1/3
Let l(i) be the first derivative of i**6/2 - 282*i**5 - 9*i**4/2 + 2828*i**3 - 11289*i**2/2 + 4230*i - 7532. Factor l(h).
3*(h - 470)*(h - 1)**3*(h + 3)
Suppose -100*a + 6842 + 1665 = -493. Factor -108 + 1/8*p**5 - a*p**2 + 162*p - 11/4*p**4 + 23*p**3.
(p - 6)**3*(p - 2)**2/8
Suppose 26*s = -395*s + 310 + 532. Factor 98/13*z**2 + 2/13*z**5 + 0*z - s*z**4 + 70/13*z**3 + 0.
2*z**2*(z - 7)**2*(z + 1)/13
Let q be 6/9 + 364/8580*-11. Factor 2 + q*o**2 + 11/5*o.
(o + 1)*(o + 10)/5
Let 31*m - 110*m**2 + 2*m**5 + m**5 + 203*m**2 - 121*m + 113*m**3 - 26*m**3 - 93*m**4 = 0. What is m?
-1, 0, 1, 30
Let t be 30*15/375*20/6. Let j(m) be the second derivative of -2*m - 3/4*m**5 - 5/4*m**t + 0*m**2 - 1/6*m**6 + 0 - 5/6*m**3. Factor j(g).
-5*g*(g + 1)**3
Let -246/5*p**4 - 4527/5*p**3 + 0 - 22188/5*p - 3/5*p**5 + 21156/5*p**2 = 0. Calculate p.
-43, 0, 2
Let f(n) = -n**2 - 6*n - 15. Let o(z) = -2*z + 0*z + 10*z - 9*z. Let b(r) = f(r) + 2*o(r). Factor b(l).
-(l + 3)*(l + 5)
Solve 2/3*q**3 + 1888*q + 11264/3 + 240*q**2 = 0 for q.
-352, -4
Let g be 80/(-15)*(-12)/16. Factor -5*d**4 - 6*d**3 + 10*d - g*d**3 + 171*d**2 - 166*d**2.
-5*d*(d - 1)*(d + 1)*(d + 2)
Factor 55*h - 676/3 + 1/3*h**2.
(h - 4)*(h + 169)/3
Let g(b) be the third derivative of b**5/20 + 43*b**4/8 - 120*b**3 + 4639*b**2. Factor g(h).
3*(h - 5)*(h + 48)
Suppose 13*t = -728 - 1456. Let u = -166 - t. Let -2/9*k**u + 4/9*k**3 - 2/9*k**4 + 0*k + 0 = 0. What is k?
0, 1
Let v(l) = -66*l**2 - 30*l. Let b(z) = -204*z**2 - 88*z. Let h(g) = 5*b(g) - 16*v(g). Suppose h(k) = 0. What is k?
-10/9, 0
Let w = 2/869 + 11289/3476. Let p be (-2*(-3)/(-6))/(10/(-5)). Factor -p + 17/4*g - 7*g**2 + w*g**3.
(g - 1)**2*(13*g - 2)/4
Let n(g) be the first derivative of -4*g**3/15 + 678*g**2/5 - 2696*g/5 + 3927. Find w, given that n(w) = 0.
2, 337
Let v = -60531/38 - -30864/19. Factor 3/8*c**2 - v*c + 1323/2.
3*(c - 42)**2/8
Factor 4/9*v**4 + 144 - 20/9*v**2 + 148*v - 52/9*v**3.
4*(v - 9)**2*(v + 1)*(v + 4)/9
Let x = 2643/7 - 377. Let f be (15/(-105))/(13/(-52)). What is l in 8/7*l**2 + x*l + 0 + f*l**3 = 0?
-1, 0
Let z(h) be the second derivative of -3*h**5/4 - 110*h**4/3 - 565*h**3/6 - 70*h**2 - 17*h + 9. Find k, given that z(k) = 0.
-28, -1, -1/3
Let c(x) be the first derivative of x**5 - 405*x**4/4 - 1250*x**3/3 - 420*x**2 - 3056. Suppose c(h) = 0. Calculate h.
-2, -1, 0, 84
Let t(q) be the second derivative of 1/5*q**5 + 14*q**2 - 26/3*q**3 - 5