iven that w(p) = 0.
2, 4, 6
Suppose 0*j + 9 = 3*j. What is b in 1484*b**2 - 1487*b**2 + 0*b + 4*b**j - b**4 + 0*b = 0?
0, 1, 3
Let q be ((-1)/(-2) + 1)*24/18. Find z such that 0 - 2/3*z**3 + 0*z + 2/3*z**q = 0.
0, 1
Let q(m) be the second derivative of 5*m**4/12 + 55*m**3/2 - 745*m. Factor q(c).
5*c*(c + 33)
Let g(l) be the third derivative of l**6/420 - 17*l**5/210 - 41*l**4/84 + 19*l**3/7 - 3*l**2 - 16. Solve g(q) = 0 for q.
-3, 1, 19
Let z(x) = -4*x**4 + 33*x**3 + 81*x**2 + 44*x - 3. Let r(u) = 44*u**4 - 364*u**3 - 892*u**2 - 484*u + 32. Let i(k) = -3*r(k) - 32*z(k). What is c in i(c) = 0?
-1, 0, 11
Suppose -5*l + 32*p - 36*p = -10, -2*p = l - 2. Find x such that 12/7*x + 2/7*x**l + 0 = 0.
-6, 0
Let u(x) be the second derivative of 3/10*x**5 + 1/4*x**4 - 6*x + 0 + 0*x**2 + 1/10*x**6 + 0*x**3. Solve u(m) = 0.
-1, 0
Let r(g) be the third derivative of g**6/1620 - g**5/135 + g**4/36 + 7*g**3/6 - 2*g**2. Let l(x) be the first derivative of r(x). Factor l(j).
2*(j - 3)*(j - 1)/9
Let v(o) be the second derivative of -1/16*o**4 + 0*o**2 - 16*o + 3/32*o**5 + 0*o**3 + 0. Factor v(j).
3*j**2*(5*j - 2)/8
Let m be (-4 - 161/(-80)*2)*6. Let u(p) be the second derivative of -1/14*p**7 + m*p**5 + 0*p**3 + 0 - p + 0*p**4 + 0*p**2 + 0*p**6. Factor u(n).
-3*n**3*(n - 1)*(n + 1)
Let c(t) be the third derivative of -2*t**6/15 + 4*t**5/3 - 11*t**4/2 + 12*t**3 - 557*t**2. Factor c(g).
-4*(g - 2)*(2*g - 3)**2
Let b(d) = -d**3 - 6*d**2 - 5*d. Let o be b(-7). Suppose 0 = -73*w + o*w - 44. Factor -26/5*a**3 + 2*a**w - 4/5 + 2/5*a + 18/5*a**2.
2*(a - 1)**3*(5*a + 2)/5
Let i be 18/(-42) + 242/42. Let y(o) be the first derivative of 8/5*o**5 - 2 + 8*o + 2*o**4 - 2/3*o**6 - i*o**3 - 2*o**2. Determine k so that y(k) = 0.
-1, 1, 2
Factor 16/9*l + 0 + 2/9*l**4 + 2/9*l**3 - 20/9*l**2.
2*l*(l - 2)*(l - 1)*(l + 4)/9
Let x be ((-10)/15 + 1)/((-8)/(-8)). Factor 0 + 0*r**3 - 1/3*r**5 + x*r + 2/3*r**4 - 2/3*r**2.
-r*(r - 1)**3*(r + 1)/3
Let m(f) be the second derivative of f**8/16800 - f**7/2100 + f**5/75 - 3*f**4/2 - 15*f. Let l(i) be the third derivative of m(i). Factor l(n).
2*(n - 2)**2*(n + 1)/5
Let j(f) = -19*f**2 - 43*f - 9. Let x(d) = 18*d**2 + 46*d + 8. Let u(z) = 4*j(z) + 3*x(z). Solve u(q) = 0 for q.
-1, -6/11
Let v = 26 + 1. Suppose v*w - 26*w = 6. Determine k, given that -w - 9/2*k**2 + 27/4*k**3 - 15*k = 0.
-2/3, 2
Let c(f) be the first derivative of 3*f**6/5 - 8*f**5/5 - 23*f**4/10 + 4*f**3/5 - 48. Solve c(b) = 0 for b.
-1, 0, 2/9, 3
Let x(d) be the third derivative of 0 + 0*d - 1/168*d**8 + 1/20*d**6 - 1/3*d**4 - 16*d**2 + 0*d**3 - 2/15*d**5 + 2/105*d**7. Factor x(m).
-2*m*(m - 2)**2*(m + 1)**2
Let w = -537 + 541. Let o(u) = u**2 + u + 4. Let f be o(0). Factor 14 - 10 + w*y - 2*y**3 + 4*y**4 - 6*y**3 + f*y**5 - 8*y**2.
4*(y - 1)**2*(y + 1)**3
Factor -324/5 + 26*z**3 - 468/5*z + 11/5*z**2 - 5*z**4.
-(z + 1)**2*(5*z - 18)**2/5
Let r be 143/300 - 5/30. Let x = r - 3/50. Let 1/4*w + 0*w**2 - x*w**3 + 0 = 0. What is w?
-1, 0, 1
Let i(w) be the first derivative of w**6/33 - 2*w**5/11 + 2*w**4/11 - 83. Solve i(g) = 0 for g.
0, 1, 4
Let y(v) be the second derivative of v**7/1470 + v**6/420 + v**5/420 - v**2/2 - v. Let a(o) be the first derivative of y(o). Factor a(p).
p**2*(p + 1)**2/7
Let -18*u**4 + 4/3*u - 26/3*u**2 + 58/3*u**3 + 6*u**5 + 0 = 0. What is u?
0, 1/3, 2/3, 1
Let b(n) = -2*n**4 + 90*n**3 - 1676*n**2 - 1792*n - 4. Let m(q) = -6*q**4 + 263*q**3 - 5027*q**2 - 5374*q - 13. Let c(v) = -13*b(v) + 4*m(v). Factor c(h).
2*h*(h - 30)**2*(h + 1)
Let j(h) be the first derivative of -8*h**5/65 - 25*h**4/26 - 4*h**3/3 - 5*h**2/13 - 124. Determine b, given that j(b) = 0.
-5, -1, -1/4, 0
Let q(f) = -f**3 + 7*f**2 + 11*f - 12. Let p be q(8). Suppose k + 3 = 5. Factor -12/5 + p*z - 15*z**k.
-3*(5*z - 2)**2/5
Let g(c) be the second derivative of 3*c**5/20 - 7*c**4/20 - c**3/10 + 9*c**2/10 - 58*c. Let g(b) = 0. What is b?
-3/5, 1
Let t(y) = 8*y**3 + 16*y**2 - 29*y + 10. Let f(b) = 9*b**3 + 18*b**2 - 30*b + 12. Let h(r) = 5*f(r) - 6*t(r). Factor h(j).
-3*j*(j - 2)*(j + 4)
Let c(r) be the first derivative of -r**3/21 + 15*r**2/14 - 2*r - 29. Find d such that c(d) = 0.
1, 14
Let g = 44/141 - -1/47. Suppose -43*m + 13*m = -60. Find t, given that 0*t + 0 - 1/3*t**3 + 2/3*t**m - g*t**4 = 0.
-2, 0, 1
Suppose -164 = 7909*m - 7991*m. What is a in -10/3*a + 2/3*a**m - 4 = 0?
-1, 6
Let l be (40078/957 + -42)/((-11)/9 + 1). Factor 2/11*r**3 - l*r + 0*r**2 - 4/11.
2*(r - 2)*(r + 1)**2/11
Let d be 3/(-12)*(8/6 + -4). Let b(r) be the first derivative of 1 - d*r**3 + 0*r**2 + 0*r. Let b(q) = 0. What is q?
0
Let l = -79/2 + 1189/30. Let z(a) be the first derivative of -1/10*a**2 + 7/20*a**4 + 4/25*a**5 + l*a**3 + 0*a + 14. Factor z(w).
w*(w + 1)**2*(4*w - 1)/5
Let d(o) be the third derivative of -o**5/60 - 5*o**4/8 - 7*o**3/3 - o**2 + 130. Determine n, given that d(n) = 0.
-14, -1
Let r = -114 - -118. Factor -6*v**3 + r*v**4 + 2*v**3 - 5*v**2 - 3*v**2.
4*v**2*(v - 2)*(v + 1)
Suppose 2*a = -11*a + 13. Let c(b) = -b**2 + b. Let u = 15 + -9. Let h(n) = 9*n**2 - 12*n + 3. Let w(l) = a*h(l) + u*c(l). Factor w(i).
3*(i - 1)**2
Let y = 29 + -24. Factor -53*k - y - 175 - 7*k - 5*k**2.
-5*(k + 6)**2
Let u(x) be the first derivative of 0*x + 1/16*x**4 + 0*x**2 - 19 + 0*x**3 + 1/24*x**6 - 1/10*x**5. Let u(t) = 0. Calculate t.
0, 1
Let a = -6703/14 + 479. Let g(m) be the first derivative of 0*m + 4 - a*m**2 + 1/21*m**3. Determine u, given that g(u) = 0.
0, 3
Let c(z) be the second derivative of 0*z**3 + 0 + 2/165*z**6 + 1/231*z**7 - 1/33*z**4 + 27*z - 1/110*z**5 + 0*z**2. Suppose c(p) = 0. What is p?
-2, -1, 0, 1
Let f = 4 - 20. Let s be 21/(-15) - f/8. Factor -s*r**3 - 9/5*r**2 + 3/5*r**4 + 3/5*r + 6/5.
3*(r - 2)*(r - 1)*(r + 1)**2/5
Let v = -223 + 228. Let i(p) be the third derivative of -1/672*p**8 - 3/16*p**4 + 2*p**2 + 0*p + 2/15*p**v - 7/120*p**6 + 1/6*p**3 + 1/70*p**7 + 0. Factor i(x).
-(x - 2)*(x - 1)**4/2
Let v(a) = 2*a - 16. Let s be v(8). Solve 3/4*p**2 + s + 3/2*p = 0 for p.
-2, 0
Suppose 0 = 8*o - 7*o + 4. Let s be (1 - 3)/o + -20 + 20. Factor -1/4*y**4 - 7/4*y - s - 5/4*y**3 - 9/4*y**2.
-(y + 1)**3*(y + 2)/4
Let d = -235 - -242. Let f(v) be the third derivative of 0*v**5 + 0 + 0*v**3 + 0*v + 8*v**2 + 0*v**4 + 0*v**6 + 1/315*v**d. Factor f(w).
2*w**4/3
Let g(m) be the second derivative of -m**6/165 - 2*m**5/55 - m**4/22 + 5*m - 5. Find u such that g(u) = 0.
-3, -1, 0
Suppose 355*i - 4 = 353*i. Suppose -3*y - 23 = -4*f, f - 4*y = 2*f - 1. Factor 0 - 2/3*m**3 + 0*m**i + 0*m - 4/3*m**4 - 2/3*m**f.
-2*m**3*(m + 1)**2/3
Let b be -196 + 0*(-2)/(-20)*5. Let j be 28/b*(-14)/18. Find f such that 2/9*f + 0 + 1/9*f**4 + j*f**5 - 1/3*f**3 - 1/9*f**2 = 0.
-2, -1, 0, 1
Let w(i) be the first derivative of 0*i + 5 + 15/8*i**2 - 1/4*i**3. Solve w(q) = 0.
0, 5
Suppose 2*s + 4 = 2*c, 6*s = 2*c + 3*s. Suppose 2 = 4*u - 0*u - 2*g, -u - 3*g + 18 = 0. Solve c*k**2 - 4 - k**3 + 6 - 2*k**u + k**3 - 6*k = 0 for k.
1
Let a(z) be the second derivative of z**6/90 - z**5/20 - z**4/9 + 58*z. Find q such that a(q) = 0.
-1, 0, 4
Let g be 25/125 + 144/5. Suppose 37 - g = 4*s. Factor -4/3 - 1/3*c**3 - 11/3*c - 3*c**s + 1/3*c**4.
(c - 4)*(c + 1)**3/3
Let i(h) be the first derivative of 1/3*h**6 + 0*h**2 + 20 - 1/2*h**4 - 4/3*h**3 + 4/5*h**5 + 0*h. Factor i(s).
2*s**2*(s - 1)*(s + 1)*(s + 2)
Determine b, given that 34/13*b**2 + 192/13*b + 360/13 + 2/13*b**3 = 0.
-6, -5
Let h(m) = 135*m**3 + 390*m**2 + 375*m + 370. Let s(c) = -8*c**3 - 23*c**2 - 22*c - 22. Let u(a) = 3*h(a) + 50*s(a). Determine n, given that u(n) = 0.
-2, -1
Let n(k) be the third derivative of -k**8/420 + k**6/30 - k**5/15 + 23*k**3/6 - 17*k**2. Let y(x) be the first derivative of n(x). Factor y(r).
-4*r*(r - 1)**2*(r + 2)
Factor -52/19*d - 2/19*d**3 - 22/19*d**2 - 32/19.
-2*(d + 1)*(d + 2)*(d + 8)/19
Factor -4*u + 7 + 1/4*u**2.
(u - 14)*(u - 2)/4
Factor -65*y**2 - 354*y - 8*y**3 - 56 - 368 + 49 + 3*y**3 + 79*y.
-5*(y + 3)*(y + 5)**2
Let o(k) = 6*k**3 - 66*k**2 + 260*k - 306. Let s(i) = -24*i**3 + 262*i**2 - 1041*i + 1224. Let p(m) = -9*o(m) - 2*s(m). Determine n so that p(n) = 0.
3, 17/3
Let v(n) be the first derivative of n**6/1080 - n**5/360 + 2*n**3 - 8. Let p(u) be the third derivative of v(u). Factor p(h).
h*(h - 1)/3
Let w(k) = -3*k**4 - 6*k**3 + 3*k**