+ 0 - 32/11*d**4 + 6/11*d**3 = 0 for d.
-2, -1, -2/7, 0, 1
Let t(g) be the first derivative of 2/27*g**3 + 0*g**2 + 0*g + 3 + 0*g**4 - 2/45*g**5. Factor t(z).
-2*z**2*(z - 1)*(z + 1)/9
Let k(y) be the third derivative of -5/24*y**4 + 1/6*y**5 + 1/42*y**7 - 1/336*y**8 - 5*y**2 + 0*y + 1/6*y**3 - 1/12*y**6 - 5. Factor k(z).
-(z - 1)**5
Let -16/3 - 4/3*r + 22*r**2 + 10/3*r**4 - 56/3*r**3 = 0. What is r?
-2/5, 1, 4
Let o be ((-2)/(-6) + 21/18)*80/270. Suppose 2/9*x - 2/3*x**2 + o = 0. What is x?
-2/3, 1
Let 34/7*y + 6 - 10/7*y**2 - 2/7*y**3 = 0. Calculate y.
-7, -1, 3
Let y(c) = -c**3 + 10*c**2 - 28*c + 27. Let d(m) = m**3 - 10*m**2 + 28*m - 26. Let h(n) = 3*d(n) + 2*y(n). Factor h(z).
(z - 6)*(z - 2)**2
Let g(r) = 13*r**3 - 78*r**2 + 5*r + 105. Let b(p) = -3*p**3 + 20*p**2 - p - 26. Let m(q) = -9*b(q) - 2*g(q). Factor m(l).
(l - 24)*(l - 1)*(l + 1)
Let o be (-24)/(14 - 17) - 6. What is n in -2/17*n**o + 0*n + 0 = 0?
0
Suppose 2*c - 6*c - 5*o + 143 = 0, 0 = 4*o + 4. Factor 5*r + c*r**3 + 9*r**2 - 3*r**2 - 14*r - 34*r**3.
3*r*(r - 1)*(r + 3)
Let h = 14106/5 + -2820. What is v in 2/5*v**2 + h + 8/5*v = 0?
-3, -1
Suppose -17 = -b - 13. Let q(v) be the third derivative of 0*v**5 - 1/660*v**6 + 6*v**2 + 0 - 2/33*v**3 + 0*v + 1/44*v**b. Factor q(z).
-2*(z - 1)**2*(z + 2)/11
Let f(w) = 15*w**4 + 185*w**3 + 30*w**2 - 135*w - 95. Let d(b) = 2*b**4 + 23*b**3 + 4*b**2 - 17*b - 12. Let j(a) = 25*d(a) - 3*f(a). Factor j(y).
5*(y - 1)*(y + 1)**2*(y + 3)
Let f = -26 - -30. Let -14*t**5 + 86*t**3 - 22*t**3 + 0*t**5 + 52*t**2 - 32*t - 24*t**f + 44*t**2 = 0. Calculate t.
-2, 0, 2/7, 2
Let d be (55/(-75)*8)/(248/20). Let k = 6/31 - d. Let -k*a - 2*a**2 + 4/3 = 0. What is a?
-1, 2/3
Let l(k) be the first derivative of 3*k**4/14 + 4*k**3/3 + 3*k**2 + 20*k/7 + 4. Factor l(h).
2*(h + 1)*(h + 2)*(3*h + 5)/7
Let h be -4 - (-9 - 138/(-30)). Factor -2/5*l**3 + 0*l**4 + h*l**5 + 0*l + 0 + 0*l**2.
2*l**3*(l - 1)*(l + 1)/5
Let t(i) = -i**2 - 37*i + 59. Let m(j) = 18*j - 30. Let k be (-2)/5 - 240/25. Let u(w) = k*m(w) - 4*t(w). Factor u(y).
4*(y - 4)**2
Let u(o) = o**2 + 11*o + 13. Suppose -5*z + 3*z = 20. Let r be u(z). Find d, given that -d**3 + d**4 - 13 - r*d**2 + 3*d + 11 + 2*d = 0.
-2, 1
Let -244108*d**4 + 244105*d**4 + 6*d - 75*d**2 - 42*d**3 - 42*d = 0. What is d?
-12, -1, 0
Let x(w) be the first derivative of -w**5/180 + w**4/18 - w**3/6 - 15*w**2/2 + 5. Let l(u) be the second derivative of x(u). Factor l(a).
-(a - 3)*(a - 1)/3
Suppose -9*j = -196 + 151. Let v(x) be the second derivative of 0*x**2 + 0 - 3*x + 0*x**4 - 1/160*x**j + 1/48*x**3. Solve v(y) = 0 for y.
-1, 0, 1
Let c be (8/(-169))/(786/(-5109)). Factor c*n**2 + 2/13*n**3 + 2/13*n + 0.
2*n*(n + 1)**2/13
Suppose -u - 5 = -a, a + u = -6 + 5. Factor -8*w**2 + 0 + 4*w**3 + 6*w**2 - a*w**4 + 0.
-2*w**2*(w - 1)**2
Let s(b) be the first derivative of -5*b**4/2 - 16*b**3 - 37*b**2 - 36*b - 200. Solve s(g) = 0.
-2, -9/5, -1
Let u(c) = -c**3 - c**2. Let i(d) = 41*d**3 + 146*d**2 - 115*d + 20. Let v(j) = i(j) - 4*u(j). Find p such that v(p) = 0.
-4, 1/3
Suppose 2*d + 3*c + 5 = 23, -45 = -5*d + c. Solve -w**5 + 2*w + 6*w**3 + 3 + d*w + 14*w**2 - 304*w**4 + 303*w**4 = 0 for w.
-1, 3
Suppose -16 = 2*k + 14. Let t = -12 - k. Suppose 3*i**4 + 8*i**t + 6*i**3 - i**3 - i**3 + 12*i**2 = 0. Calculate i.
-2, 0
Let y be 3*25/(-15) - 91/(-18). Let s(k) be the second derivative of 0*k**4 + 0*k**2 + 0 + 3*k - 1/60*k**5 + y*k**3. Find n such that s(n) = 0.
-1, 0, 1
Let h(w) = w**2 + w**3 - 8*w - 2*w**2 + 2*w**4 - w + 4*w. Let k(x) = 2*x**4 - 2*x**2 - 4*x. Let o(t) = -4*h(t) + 5*k(t). Factor o(n).
2*n**2*(n - 3)*(n + 1)
Let r(z) = -z**4 - 4*z**2 - 24*z - 19. Let k(j) = -2*j**4 + 2*j**3 - 7*j**2 - 48*j - 37. Let n(g) = 3*k(g) - 5*r(g). Find h such that n(h) = 0.
-1, 4
Let x be -4 + 4/(-4)*2. Let c = x + 9. Solve 2*y**2 - y**3 - 9*y + 7*y**2 + c - 2*y**3 = 0 for y.
1
Let k(j) be the third derivative of -j**9/60480 + j**8/3360 - j**7/560 + j**5/6 + 3*j**2. Let i(t) be the third derivative of k(t). Factor i(s).
-s*(s - 3)**2
Let y(u) = -2*u**3 + 30*u**2 - 7*u + 7. Let p(i) = i**3 - 14*i**2 + 3*i - 3. Let v(g) = -14*p(g) - 6*y(g). Determine r so that v(r) = 0.
0, 8
Let z be 88/20 - 2/5. Solve -3*g**2 + 2 - z*g**5 + 3*g + 5*g**5 + g**2 - 4*g**3 = 0.
-1, 1, 2
Let b = 11 - 22. Let c(s) = s**3 + 10*s**2 - 13*s - 19. Let p be c(b). Factor 2/3*l**p - 2/3*l**2 + 2/3 - 2/3*l.
2*(l - 1)**2*(l + 1)/3
Let s(x) be the first derivative of -x**3/3 + 58*x**2 - 3364*x + 207. Factor s(w).
-(w - 58)**2
Let g(a) be the third derivative of a**7/525 - 2*a**5/75 - 110*a**2. Factor g(z).
2*z**2*(z - 2)*(z + 2)/5
Factor -54*u**3 - 368/3*u - 294*u**2 - 40/3.
-2*(u + 5)*(9*u + 2)**2/3
Let c be 4/7 + (-1150)/1400 - (-76)/16. Determine d so that -c + 3*d - 1/2*d**2 = 0.
3
Let t = -7606 + 1011611/133. Let h = t - -9/19. Factor 0 + 2/7*v**5 + 0*v**2 + 0*v + 0*v**3 + h*v**4.
2*v**4*(v + 2)/7
Let v(m) = m**3 - 9*m**2 + 3. Let t be v(9). Suppose -t*s - 5*s**3 + 8*s**3 + s**2 - 2 - 10*s**4 + 11*s**4 = 0. What is s?
-2, -1, 1
Let k(f) be the second derivative of -f**9/63 + 9*f**8/280 - f**7/40 + f**6/120 + 13*f**4/12 - 3*f. Let u(x) be the third derivative of k(x). Solve u(h) = 0.
0, 1/4, 2/5
Suppose -3*z - 4*i + 19 = 0, -1 + 0 = -i. Solve 1000 - 5*b + z*b**3 - 1000 = 0 for b.
-1, 0, 1
Let y(v) be the first derivative of 0*v + 9/20*v**4 - 1/10*v**6 - 3/25*v**5 - 3/5*v**2 - 6 + 1/5*v**3. Determine s, given that y(s) = 0.
-2, -1, 0, 1
Suppose 28*x = 30*x - 4. Factor 18 + 5*f**x + 27 - 50.
5*(f - 1)*(f + 1)
Find o such that -323*o**4 + 39*o**3 - 9*o**2 + 344*o**4 + 30*o + 3*o**5 - 84*o = 0.
-3, -2, 0, 1
Let a(c) be the second derivative of 5*c**7/273 + 8*c**6/195 - 49*c**5/130 + 4*c**4/39 + 44*c**3/39 - 16*c**2/13 - 5*c + 3. Suppose a(n) = 0. Calculate n.
-4, -1, 2/5, 1, 2
Suppose 10 - 25 = -3*s. Suppose o - 4 = s*v - 28, 0 = v + 4*o + 12. Factor 0*m + m**3 + 0 + m**2 + 1/4*m**v.
m**2*(m + 2)**2/4
Let g(s) be the second derivative of -s**4/12 - 6*s. Let q(j) = 9*j**2 + 6*j - 3. Let k = 4 + -16. Let t(d) = k*g(d) - q(d). Factor t(b).
3*(b - 1)**2
Let o be ((46 + -2)/(-4))/(-1). Let c = 21 - o. Factor 17*k**2 - 8*k**2 + 3*k + 5*k**2 + 48*k**3 + c*k**2.
3*k*(4*k + 1)**2
Let r(s) be the second derivative of 2*s**6/15 - 4*s**5/5 + 2*s**4/3 + 8*s**3/3 - 6*s**2 - 13*s - 13. Factor r(n).
4*(n - 3)*(n - 1)**2*(n + 1)
Suppose 0*n + 5*n = -20. Let f(a) = 9*a + 36. Let s be f(n). Factor -4/5*h**2 + 0*h**4 + 6/5*h**3 + s*h + 0 - 2/5*h**5.
-2*h**2*(h - 1)**2*(h + 2)/5
Let s(f) be the third derivative of -f**7/168 - f**6/36 - 8*f**3 + 42*f**2. Let n(y) be the first derivative of s(y). Factor n(w).
-5*w**2*(w + 2)
Let m(g) be the second derivative of 7*g**6/20 - 9*g**5/20 - g**4 + 3*g**3/2 + 3*g**2/4 - 129*g. Suppose m(h) = 0. Calculate h.
-1, -1/7, 1
Let k(n) be the third derivative of -n**6/600 + 3*n**5/100 + 7*n**4/40 - 19*n**3/3 + n**2 + 16. Let m(v) be the first derivative of k(v). Factor m(o).
-3*(o - 7)*(o + 1)/5
Let m(w) be the second derivative of w**5/36 - 5*w**4/72 - 8*w**2 + 10*w. Let y(u) be the first derivative of m(u). Factor y(f).
5*f*(f - 1)/3
Let v(c) be the second derivative of 75*c**4/28 + 227*c**3/14 + 9*c**2/7 - 191*c + 2. Solve v(n) = 0 for n.
-3, -2/75
Suppose -7*x + 23 + 5 = 0. Let v(c) be the second derivative of x*c + 1/60*c**6 - 1/20*c**5 + 1/6*c**3 - 1/4*c**2 + 0*c**4 + 0. Solve v(i) = 0 for i.
-1, 1
Let z(o) be the first derivative of o**6/720 + o**5/40 + 3*o**4/16 + 17*o**3/3 + 11. Let r(m) be the third derivative of z(m). Let r(s) = 0. What is s?
-3
Factor 443 + 3*i**2 - 218 + 450 - 241*i + 331*i.
3*(i + 15)**2
Suppose 72 = 4*x - 0*x + 3*s, 0 = -x - 3*s + 27. Determine f, given that -8*f**2 - x*f**3 + 19*f + 8 + 9*f**4 - 6*f**2 - 7*f = 0.
-2/3, 1, 2
Suppose 6*n = 11*n - 10. Suppose -40*t**2 + 2*t**3 + 70*t**n - 34*t**2 = 0. What is t?
0, 2
Let b(q) = -13*q**2 - 252*q + 67. Let x(j) = -14*j**2 - 252*j + 66. Let t(n) = -2*b(n) + 3*x(n). Factor t(c).
-4*(c + 16)*(4*c - 1)
Let d(h) be the second derivative of h**8/7560 - h**7/540 + 2*h**6/405 + 4*h**5/135 - 13*h**3/6 - 11*h. Let j(z) be the second derivative of d(z). Factor j(s).
2*s*(s - 4)**2*(s + 1)/9
Let u(g) = 60*g**2 - 296*g + 504. Let q(z) = z**3 - 60*z**2 + 297*z - 503. Let w(r) = 4*q(r) + 3*u(r). Let w