 0*m + 7/15*m**6 + 0*m**4 + 21 + 4/25*m**5 + 0*m**3. Suppose s(w) = 0. What is w?
-2/7, 0
Suppose 2377*b = 2382*b - 10. Factor 4*v**3 + 26/3*v**b + 2/3*v**4 + 8*v + 8/3.
2*(v + 1)**2*(v + 2)**2/3
What is g in -16/5*g**5 + 0 - 12*g**4 - 64/5*g**3 + 8/5*g - 12/5*g**2 = 0?
-2, -1, 0, 1/4
Let a(c) be the third derivative of 0*c**3 + 24*c**2 - 1/84*c**4 + 0 + 0*c**6 + 0*c + 1/1176*c**8 - 2/735*c**7 + 1/105*c**5. Solve a(l) = 0 for l.
-1, 0, 1
Let u(b) = -2*b - 12. Suppose 40 = -5*c - y, -c + 0*y = 3*y + 22. Let r be u(c). What is p in 27*p**4 - 2*p**3 + 4*p**3 + p**3 - 2*p**r = 0?
-1/3, 0, 2/9
Let s(g) be the second derivative of -g**7/18900 + g**6/5400 - 11*g**4/4 - 32*g. Let w(n) be the third derivative of s(n). Find i, given that w(i) = 0.
0, 1
Factor 7*g + 0*g + 1484*g**2 - 1483*g**2 - 3*g.
g*(g + 4)
Let f = -1/453 - -913/3171. Factor f*h**2 + 4/7*h - 6/7.
2*(h - 1)*(h + 3)/7
Let w be -4 + ((-446)/(-16))/(74184/12576). Let n = w - -1/562. What is f in 4/11*f**3 + 4/11*f**4 - 2/11*f**5 + 4/11 - 2/11*f - n*f**2 = 0?
-1, 1, 2
Let a = -112 + 49. Let h = -61 - a. Solve 10/7*f**h - 24/7*f + 8/7 = 0.
2/5, 2
Suppose 6*g - 7*g = 4. Let n(j) be the second derivative of j**4/4 - j**3 - 2*j**2 + 2*j. Let b(d) = 4*d**2 - 5*d - 3. Let a(t) = g*b(t) + 3*n(t). Factor a(r).
-r*(7*r - 2)
Let f(d) be the second derivative of -4/3*d**3 + d**4 + 0*d**2 + 0 + 14*d. Determine q so that f(q) = 0.
0, 2/3
Let o = 352/153 - 24/17. Factor 2/9*j**2 + 8/9*j + o.
2*(j + 2)**2/9
What is p in -55 + 3*p**3 + 73 + 191 + 231*p + 0*p**3 + 85 + 48*p**2 = 0?
-7, -2
Let f(r) = 6*r - 7. Let h = 4 - 1. Let m be f(h). Factor 3*g**2 - m*g**3 - 2 - 3*g**3 - 16*g**2 - 5*g**2 - 4*g**4 - 10*g.
-2*(g + 1)**3*(2*g + 1)
Let h(j) be the third derivative of -j**5/105 - 19*j**4/42 + 24*j**2. Factor h(b).
-4*b*(b + 19)/7
Let v(o) be the first derivative of -4*o**6/15 + 6*o**5/5 - 13*o**4/6 + 2*o**3 - o**2 - 23*o + 9. Let l(g) be the first derivative of v(g). Factor l(j).
-2*(j - 1)**2*(2*j - 1)**2
Let z(d) be the third derivative of 961*d**5/210 + 31*d**4/14 + 3*d**3/7 - 43*d**2. Let z(r) = 0. What is r?
-3/31
Let n = 7948 - 55624/7. Factor -18/7*a + 8/7 + n*a**2 - 2/7*a**3.
-2*(a - 4)*(a - 1)**2/7
Let n(w) = -4*w - 17. Let r be n(-5). Find p such that -27 + 48*p**r + 8*p + 27 - 36*p**4 + 44*p**2 = 0.
-1/3, 0, 2
Let o = -532 + 1073/2. Find w such that o - 3*w + 1/2*w**2 = 0.
3
Let w = -201 + 204. Let h be (546/24)/7 - w. Factor -2*i**2 + 5/4*i**3 + 1/2 + h*i.
(i - 1)**2*(5*i + 2)/4
Let w(y) = -y**3 - y**2 + 13*y + 11. Let g be w(-4). Let r be (g + -4)/(3 - (-6)/(-3)). Factor 1/2*v**2 - 1/2*v**r + 1/2*v - 1/2.
-(v - 1)**2*(v + 1)/2
Let z be (7 + (7 - 14))/(5 + -3). Let p(i) be the third derivative of -1/300*i**5 + 0*i**4 + 0 - 6*i**2 + z*i + 1/30*i**3. Determine n, given that p(n) = 0.
-1, 1
Let a(d) = -d**4 - d**3 - d**2 + d + 1. Let r(k) = -k**5 + 14*k**4 - 44*k**3 + 62*k**2 - 27*k - 2. Let f(i) = -6*a(i) - 3*r(i). Factor f(j).
3*j*(j - 5)**2*(j - 1)**2
Let j(v) be the second derivative of -6*v + 0 - 7/6*v**3 + 0*v**5 - 1/24*v**4 + 0*v**2 + 1/1440*v**6. Let k(b) be the second derivative of j(b). Factor k(z).
(z - 2)*(z + 2)/4
Let h(s) be the first derivative of s**3 + 3/20*s**4 - 16 + 9/5*s + 21/10*s**2. Factor h(a).
3*(a + 1)**2*(a + 3)/5
Let p(n) = -n**3 + 15*n**2 - 35*n + 20. Let o be p(13). Let i = 99 + o. Determine a, given that 2/11*a**i + 0*a - 2/11 = 0.
-1, 1
Let h(f) be the second derivative of -f**5/80 - 37*f**4/48 - 3*f**3/2 + 64*f. Factor h(b).
-b*(b + 1)*(b + 36)/4
Suppose -8*g = -5*g - 12. Let a(k) = k - 6. Let p be a(6). Factor -3*v**4 + p*v**4 + 8*v**g.
5*v**4
Let g be 16 + 16 + 2400/(-90). Factor -1/3*x**4 - g - 40/3*x - 11*x**2 - 10/3*x**3.
-(x + 1)**2*(x + 4)**2/3
Let k(b) = -3*b**3 + 36*b**2 - 289*b - 2. Let x(p) = -p**3 + p**2 - 1. Let h(i) = k(i) - 2*x(i). Factor h(s).
-s*(s - 17)**2
Let u(j) be the third derivative of j**6/180 + 605*j**2 - 2*j. Factor u(f).
2*f**3/3
Let i(y) be the first derivative of -3*y**4/4 - 110*y**3/9 - 89*y**2/2 - 18*y + 415. Factor i(s).
-(s + 3)*(s + 9)*(9*s + 2)/3
Let b(g) be the third derivative of g**8/50400 + g**7/1050 + g**6/50 + g**5/15 - 9*g**2. Let z(h) be the third derivative of b(h). Factor z(k).
2*(k + 6)**2/5
Let y(p) be the second derivative of 1/28*p**4 + 18*p + 0*p**3 + 0 + 0*p**2. Determine o, given that y(o) = 0.
0
Suppose -616 = 19*w - 8*w. Let y = 56 + w. Solve 0*c**2 + y*c**3 + 0*c + 0 - 3/5*c**4 - 3/5*c**5 = 0 for c.
-1, 0
Suppose -j + 20 = 3*j. Let t be j/10*(-2)/(-4)*1. What is i in 5/4*i**3 - t*i**2 - 1/2 - 5/4*i + 3/4*i**4 = 0?
-1, -2/3, 1
Let p(j) be the first derivative of j**6/23 - 8*j**5/23 + 3*j**4/46 + 44*j**3/23 - 76*j**2/23 + 48*j/23 - 5. Let p(b) = 0. Calculate b.
-2, 2/3, 1, 6
Suppose 2*n + 4*x = -26, 2*n + 2*x = -n - 35. Let m = -9 - n. Let -3*a**4 - m*a**3 - a**2 - a**3 + a**5 - 2*a**5 = 0. Calculate a.
-1, 0
Let l(u) = -u**3 + u**2 + 35*u - 9. Let w be l(6). Solve -4 + 10*s + 8 - 18*s - w*s**2 = 0.
-2/3, 2/7
Suppose 10*m - 8*m = -4. Let q(k) = -2*k - 2. Let y be q(m). Determine c, given that -2/3*c**3 + 0*c**y + 0 + 2/3*c**4 + 0*c = 0.
0, 1
Factor -41 - 1479*f**4 - 13 - 81*f**3 + 2967*f**4 + 117*f - 1473*f**4 + 75*f**2.
3*(f - 3)**2*(f + 1)*(5*f - 2)
Let k be 3/((-120)/(-88)) - (-5)/(-25). Let l(q) be the first derivative of 2*q + 7 - k*q**2 + 2/3*q**3. Factor l(y).
2*(y - 1)**2
Let z = -3 - -5. Factor 8 + 3*k + z*k**4 - 2*k**3 - k**5 - 9 + k**4 + 0*k**4 - 2*k**2.
-(k - 1)**4*(k + 1)
Suppose 2*o - 6*o = 14*o. Let y(j) be the third derivative of -1/840*j**7 + o*j**4 + 0*j + 0*j**3 + 1/480*j**6 + 0 + j**2 + 0*j**5. Factor y(w).
-w**3*(w - 1)/4
Let k(m) be the third derivative of m**8/1176 + m**7/105 - 29*m**6/420 - 47*m**5/42 + 50*m**4/21 + 2000*m**3/21 - 11*m**2 + 3. What is j in k(j) = 0?
-5, 4
Let q(i) = -i**4 + 2*i**3 - 8*i**2 + 3. Let d(x) = -6*x**4 + 9*x**3 - 33*x**2 + 12. Let n(v) = 2*d(v) - 9*q(v). Determine l so that n(l) = 0.
-1, 1
Let m(r) be the first derivative of -r**3 + 6*r**2 - 9*r - 8. Factor m(c).
-3*(c - 3)*(c - 1)
Let h(u) = -u**2 - 7*u - 4. Let v be h(-6). Let k(n) = n**3 + 15*n**2 - 15*n + 20. Let t be k(-16). Suppose v*r**3 - 3*r**3 - 5*r**3 + 27*r**t = 0. Calculate r.
0, 2/9
Let m(k) = 33*k**3 + 288*k**2 - 267*k - 54. Let q(n) = 5*n**3 + 41*n**2 - 38*n - 8. Let s(g) = 4*m(g) - 27*q(g). Factor s(o).
-3*o*(o - 14)*(o - 1)
Let t(m) be the first derivative of -26 + 7/5*m + 1/15*m**3 + 4/5*m**2. Solve t(f) = 0.
-7, -1
Let z = 110/23 - 13/46. Let f(u) be the second derivative of 6*u + 1/4*u**4 + 0 - 5/2*u**3 + z*u**2 + 3/20*u**5. Find n, given that f(n) = 0.
-3, 1
Let v(k) = -k**2 - 4*k + 19. Let m be v(3). Let f = 5 + m. Factor 0 - 2/7*o - 12/7*o**2 - 8/7*o**4 - 18/7*o**f.
-2*o*(o + 1)**2*(4*o + 1)/7
Let j(y) be the first derivative of 8*y**3/39 + 7*y**2/13 + 6*y/13 + 340. Factor j(n).
2*(n + 1)*(4*n + 3)/13
Factor -1503*s**3 - 17*s**4 - 12*s**4 + 265*s + 2330*s**2 - 949*s + 2*s**4 - 290*s**2.
-3*s*(s + 57)*(3*s - 2)**2
Suppose 1/6*t**2 + 83/6*t**4 - t + 0 + 35/3*t**3 + 10/3*t**5 = 0. What is t?
-3, -1, -2/5, 0, 1/4
Let z(o) = 8*o - 100. Let v be z(13). Let c(w) be the first derivative of 1 + 0*w**2 - 1/4*w**4 + v*w - w**3. Factor c(b).
-(b - 1)*(b + 2)**2
Let c(b) = -b**2 - b. Let m be c(-2). Let i be m/((40/(-12))/5). Let -2 + 7*y**4 - 2 + 59*y + 16*y**i - 75*y - 3*y**2 = 0. Calculate y.
-2, -1, -2/7, 1
Let n(g) = 3*g**2 - 15*g + 12. Let h(i) = -6*i**2 + 29*i - 23. Let a(c) = -3*h(c) - 5*n(c). Factor a(j).
3*(j - 3)*(j - 1)
Let r(t) = -2*t**3 - 175*t**2 + 167*t + 35. Let q(l) = -2*l**3 - 176*l**2 + 166*l + 42. Let a(g) = -5*q(g) + 6*r(g). Solve a(p) = 0.
-86, 0, 1
Let q(l) be the second derivative of l**7/2520 - l**6/180 + l**5/40 - l**4/12 + 8*l. Let a(t) be the third derivative of q(t). Factor a(y).
(y - 3)*(y - 1)
Let s = -28073/4 - -7019. Determine a, given that s*a**3 - 3/4*a - 1/2 + 1/4*a**2 + 1/4*a**4 = 0.
-2, -1, 1
Let t(z) be the first derivative of 0*z**2 - 3/4*z**4 + 6*z**3 + 0*z + 27. Suppose t(g) = 0. Calculate g.
0, 6
Factor -2/3*l**3 + 0*l + 0 + 0*l**2 + 1/3*l**4.
l**3*(l - 2)/3
Suppose 24*k - 6*k**2 - k**2 + 4*k**3 + 4*k**2 - 17*k**2 = 0. What is k?
0, 2, 3
Let l(k) = -10*k**2 - 7*k - 13. Let v(f) = -17*f**2 - 14*f - 25. Let x(c) = 5*l(c) - 3*v(c). Find j such that x(j) = 