 -q**3/18 + 119*q**2/3 + 159*q/2 + 3041. Factor k(z).
-(z - 477)*(z + 1)/6
Factor -416*l + 110*l**2 - 40*l**2 - 415 - 71*l**2.
-(l + 1)*(l + 415)
Let v(q) be the first derivative of 5/9*q**2 - 4/3*q - 2/27*q**3 + 30. Determine m so that v(m) = 0.
2, 3
Let y(v) = v**3 - v**2 + v + 1. Let c(s) = -11 + 7*s**2 - 3*s - 2*s**4 - 3*s**3 + 2*s - 10*s - 2*s**3. Let n(o) = 2*c(o) + 22*y(o). Find f such that n(f) = 0.
0, 1, 2
Let -4*y**2 + 35*y - 74*y - 96 + 34*y + 49*y = 0. What is y?
3, 8
Let v(c) be the second derivative of -c**7/28 - 2*c**6 - 165*c**5/4 - 375*c**4 - 5625*c**3/4 + 15*c + 6. What is r in v(r) = 0?
-15, -5, 0
Let u = 100/197 + -3/394. Let x(r) be the second derivative of -1/48*r**4 + u*r**3 + 0 - 9/2*r**2 + 21*r. Factor x(y).
-(y - 6)**2/4
Let y(c) be the first derivative of 0*c + 2/9*c**3 + 27/2*c**2 + 1/36*c**5 - 1/6*c**4 - 44. Let j(x) be the second derivative of y(x). Factor j(u).
(u - 2)*(5*u - 2)/3
Factor -2*x**3 + 1167*x**2 - 11 - 593*x**2 - 604*x**2 - 97 - 99*x - x**3.
-3*(x + 3)**2*(x + 4)
Let a(u) = u**2 + 8*u + 14. Let t = 58 + -65. Let w be a(t). Factor s**2 + 5*s**2 + 18*s - w - 3*s**2 + 34.
3*(s + 3)**2
Let r(w) be the third derivative of -w**6/1140 - 10*w**5/19 - 299*w**4/228 + 138*w**2 - 11*w + 2. Suppose r(q) = 0. Calculate q.
-299, -1, 0
Let z(q) = -4*q**2 + 3. Let d be (-42)/5 - 4/(-10). Let l(a) = -341841*a + 5*a**2 - 16*a**2 + 8 + 341840*a. Let r(x) = d*z(x) + 3*l(x). Factor r(n).
-n*(n + 3)
Let x(l) be the first derivative of l**6/6 + l**5/2 - 25*l**4/3 - 55*l**3 - 225*l**2/2 - 7*l + 177. Let t(d) be the first derivative of x(d). Factor t(s).
5*(s - 5)*(s + 1)*(s + 3)**2
Let s = 146 - 137. Let h(j) be the second derivative of 1/12*j**4 + 0 - j**3 - s*j + 9/2*j**2. What is m in h(m) = 0?
3
Suppose -3 = 12*v + 21. Let d be ((-19)/2 - -8)*v. Suppose 1/7*c**4 + 4/7*c + 1/7*c**5 - 5/7*c**2 + 4/7 - 5/7*c**d = 0. Calculate c.
-2, -1, 1, 2
Let n be -3 - -1 - -6 - 80/40. Let v**2 - 100 - 2*v**2 - 12*v + 6*v**n + 17*v = 0. Calculate v.
-5, 4
Solve 188603*m + 54020*m**2 - 1374387*m**3 + 911754 + 1367487*m**3 + 210*m**4 - 2*m**5 + 345307*m = 0 for m.
-3, 37
Let k(i) = -i**2 - 24*i + 387. Let h be k(11). Let f(v) be the third derivative of -1/14*v**4 + 0 + 3/7*v**3 - 8*v**h + 0*v + 1/210*v**5. Solve f(z) = 0.
3
Determine s so that -1060/9*s - 2/9*s**2 - 704/3 = 0.
-528, -2
Let o(p) be the second derivative of 0 + 2/3*p**2 + 14*p - 1/24*p**4 - 1/120*p**5 + 1/6*p**3. Factor o(d).
-(d - 2)*(d + 1)*(d + 4)/6
Let i = 563935 + -563933. Factor 54*x**2 + 0 - 841/2*x**5 - i*x - 783*x**4 - 613/2*x**3.
-x*(x + 1)**2*(29*x - 2)**2/2
Determine n so that 3*n**3 + 5/7*n**4 + 8/7*n + 0 - 1/7*n**5 + 23/7*n**2 = 0.
-1, 0, 8
Let q(c) be the second derivative of c**5/60 - 31*c**4/36 - 16*c**3/9 - 540*c. Factor q(j).
j*(j - 32)*(j + 1)/3
Let t be ((-10)/5 + 2)/(2 - 4). Suppose g + i + 2 = t, -5*g + 1 = -5*i - 29. Determine r so that 4/3*r + 8/3 - 8/3*r**g - 4/3*r**3 = 0.
-2, -1, 1
Suppose 36481/5*y**2 + 1/5 - 382/5*y = 0. Calculate y.
1/191
Suppose -6*q - 8*q = 1204. Let j = 92 + q. Let 237/2*n**3 - j - 297/2*n**2 + 54*n - 81/2*n**5 + 45/2*n**4 = 0. What is n?
-2, 2/9, 1/3, 1
Factor 100*j + 19*j**3 - 33*j**3 + 20*j**3 - 4*j**3 - 108*j**2 - 24 + 30*j**3.
4*(j - 2)*(j - 1)*(8*j - 3)
Let t be 3/5*(-12)/(-81). Let q(g) be the first derivative of 2/27*g**6 + 16/9*g**2 - 5/9*g**4 - 31 + 4/27*g**3 + 16/9*g - t*g**5. Factor q(o).
4*(o - 2)**2*(o + 1)**3/9
Let v(j) be the second derivative of -2*j**4 + 1/10*j**6 + 0*j**3 + 24*j**2 + 0*j**5 + j + 8. Factor v(p).
3*(p - 2)**2*(p + 2)**2
Suppose 8 + 6 = 2*l - x, -56 = -4*l - 5*x. Suppose -19 = -5*m - l. Solve a**2 - m*a**2 + 2*a**2 + 3*a**2 = 0 for a.
0
Let k(d) = -d**2 + 25*d - 100. Let z(g) = g**2 + 5*g - 30. Let x be z(-10). Let i be k(x). Find n such that -4/3*n**2 - 10/3*n**3 + i + 0*n = 0.
-2/5, 0
Suppose 45*s + 375 = 40*s. Let m be s/90 - 92/(-24). Factor -m*f**4 - 3/2*f**5 + 3*f**2 + 0 + 0*f**3 + 3/2*f.
-3*f*(f - 1)*(f + 1)**3/2
Let a = -1178 + 1176. Let y be a/10 - (2368/(-280))/8. Find x, given that y + 1/7*x**2 - 5/7*x = 0.
2, 3
Find m, given that 3/5*m**3 - 531/5*m**2 - 1083/5*m + 1611/5 = 0.
-3, 1, 179
Let g(c) = c**3 + 2*c**2 - c. Let w = 115 + -136. Let y = w + 19. Let s(v) = 2*v**3 + 3*v**2 - 2*v. Let k(o) = y*s(o) + 3*g(o). Factor k(a).
-a*(a - 1)*(a + 1)
Let m = 22003 + -22000. Let c(s) be the third derivative of 0*s - 4/45*s**6 + 19/45*s**5 - 5/9*s**4 + 0 + 4*s**2 + 0*s**m - 2/315*s**7. Factor c(k).
-4*k*(k - 1)**2*(k + 10)/3
Suppose -p + 2*u = u + 2, -17 = 4*p + 5*u. Let m be (-7)/p + (-10)/(-15). Find t, given that 48*t - 19*t**2 + 2*t**m - 16*t + 3*t**2 = 0.
0, 4
Let t be 820/369 + (-5)/((-90)/(-4)). Let j be 30/(-25) + (-42)/(-10). Find p such that 0*p + 0 - 1/4*p**t - 1/4*p**j = 0.
-1, 0
Let f(l) be the first derivative of l**4/4 + l**3 - 9*l**2/2 + 5*l + 294. Suppose f(d) = 0. Calculate d.
-5, 1
Let d = 254964 - 254962. What is n in -2/5*n**d - 48/5 + 10*n = 0?
1, 24
Let h be 24/3300*175 - 4/(-22). Suppose 7*i - 3*i = 8. Factor h*t**i + 1/11*t**4 + 0*t + 0 - 8/11*t**3.
t**2*(t - 4)**2/11
Let r be (2112/15)/(21/(-15)). Let m = r + 101. Factor 0*f + m*f**3 + 6/7*f**4 + 0 - 3/7*f**2.
3*f**2*(f + 1)*(2*f - 1)/7
Solve 2/17*d**4 - 28/17*d**3 - 38/17*d**2 + 4/17*d**5 - 12/17*d + 0 = 0 for d.
-2, -1, -1/2, 0, 3
Let m(u) be the second derivative of -u**4/72 - 628*u**3/3 - 1183152*u**2 + 33*u + 151. Solve m(x) = 0 for x.
-3768
Let b(g) = -19*g**2 - 1560*g - 152105. Let o(x) = 30*x**2 + 2340*x + 228158. Let i(w) = -8*b(w) - 5*o(w). Factor i(j).
2*(j + 195)**2
Let u(a) = 1771*a**2 + 1748*a - 30. Let q(k) = -1770*k**2 - 1748*k + 28. Let i(l) = 7*q(l) + 6*u(l). What is s in i(s) = 0?
-1, 4/441
Let b be 8 - (11 + -10 + 5). Let t be b/3*123/164. Suppose t*w + 1 - 1/2*w**2 = 0. Calculate w.
-1, 2
Let y(s) be the third derivative of 0 + 1/6*s**5 - 1/300*s**6 - 140*s**2 + 48/5*s**3 - 14/5*s**4 + 0*s. Factor y(r).
-2*(r - 12)**2*(r - 1)/5
Let j be ((-1 - 0) + 3)/(608/89904). Let n = -295 + j. Factor -n*b**2 + 4/19 + 10/19*b.
-2*(b - 1)*(7*b + 2)/19
Let v = -6441 + 6444. Factor 7/3*a**2 + 5/3*a**4 + 0*a - 13/3*a**v + 0 + 1/3*a**5.
a**2*(a - 1)**2*(a + 7)/3
Let m(b) be the third derivative of -1/120*b**6 - 1/30*b**5 + 22*b + b**3 + 0 + 2*b**2 + 5/24*b**4. Factor m(g).
-(g - 2)*(g + 1)*(g + 3)
Let j = -11716405568/18915 + 8052528/13. Let c = j - -2/1455. Find z, given that -3/5*z - c*z**2 + 6/5 + 3/5*z**3 = 0.
-1, 1, 2
Let z be (-1)/((-12)/(-1897))*476/357. Let i = z - -211. Factor 0 + 0*y - i*y**2 - 2/9*y**3.
-2*y**2*(y + 1)/9
Let k = 4/8789 + 9131755/35156. Let y = 262 - k. Factor 3/4*l**4 - y*l**2 + 0 + 0*l**3 + 3/2*l.
3*l*(l - 1)**2*(l + 2)/4
Let l(p) = 7*p**2 - 2569*p - 5198. Let i(x) = 57*x**2 - 20547*x - 41586. Let g(u) = 4*i(u) - 33*l(u). Suppose g(w) = 0. Calculate w.
-2, 865
Let m = 5884 - 5860. Let g(q) be the third derivative of -5/24*q**4 + 0*q - 1/12*q**5 + 0 - m*q**2 + 0*q**3. Solve g(t) = 0 for t.
-1, 0
Let w(b) be the second derivative of b**4/30 - 12*b**3/5 + 36*b**2 - 1732*b. Factor w(j).
2*(j - 30)*(j - 6)/5
Let l(t) be the second derivative of t**5/40 + 65*t**4/12 + 43*t**3/4 - 63*t - 58. Factor l(p).
p*(p + 1)*(p + 129)/2
Let i(r) be the second derivative of r**7/252 + r**6/60 - r**5/30 + 3235*r. Factor i(y).
y**3*(y - 1)*(y + 4)/6
Let j(w) be the third derivative of w**5/180 - w**4/2 - 13*w**3/2 - 19*w**2. Factor j(z).
(z - 39)*(z + 3)/3
Let b be ((-252)/16)/(3/(-12)). Let 30 + 30*n**2 + b*n**3 - 58*n**3 - 16*n + 71*n = 0. What is n?
-3, -2, -1
Let n = -10750/23 + 96796/207. Let c be 76/90 + 2/(-5). Factor 5/9*y**2 + 0 - c*y**3 + 1/9*y**4 - n*y.
y*(y - 2)*(y - 1)**2/9
Let q(s) be the second derivative of -3*s**5/20 - 143*s**4/4 - 1855*s**3/2 - 18963*s**2/2 - 3*s + 160. Determine m so that q(m) = 0.
-129, -7
Let i(a) = 9*a**2 + 6*a - 22. Let n(b) = b**2 + 5*b - 12. Let m(g) = -11*g + 24. Let o(f) = 2*m(f) + 5*n(f). Let y(h) = 6*i(h) - 11*o(h). Solve y(l) = 0 for l.
0, 3
Let s(p) be the third derivative of -1/4*p**4 + 1/3*p**3 - 203*p**2 - 1/6*p**5 + 4/105*p**7 + 0 + 1/20*p**6 + 0*p. Suppose s(y) = 0. Calculate y.
-1, 1/4, 1
Let w = -28689/4 - -7178. Suppose 6*y = 2*y + 12. What is q in 2*q - 7/4*q**5 - 1/4*q**y - 1 + w*q**2 - 19/4*q**4 = 0?
-2, -1, 2/7, 1
Let l(h) be the third deri