.
-4*(b - 7)*(b - 2)*(b - 1)
What is z in -24/7*z - 4/7*z**3 - 20/7*z**2 + 0 = 0?
-3, -2, 0
Let j = 334 - 337. Let l be (46 - 48)/(5/j). Factor -3/5*s**3 - 3/5*s**2 + 0 + l*s.
-3*s*(s - 1)*(s + 2)/5
Find q such that -18 - 257/4*q**2 - 11/4*q**4 + 111/4*q**3 + 115/2*q - 1/4*q**5 = 0.
-18, 1, 4
Let k be ((-135)/(-162))/((-5)/(-2))*6. Let w(q) = q**2 - 5*q + 16. Let x(s) = -s**2 + 6*s - 16. Let j(n) = k*w(n) + 3*x(n). Factor j(b).
-(b - 4)**2
Let v be -4 - -43 - (-10 + 2). Suppose 43*h + 12 = v*h. Solve 2/7*c**4 + 16/21*c - 16/21*c**h - 8/21 + 2/21*c**2 = 0 for c.
-1, 2/3, 1, 2
Let h be (-10)/(-10)*-20 - 239/(-7). Factor -12*c**3 - h*c**2 + 54/7*c - 15/7*c**4 + 0.
-3*c*(c + 3)**2*(5*c - 2)/7
Let j(r) = r**3 - 2*r**2 + r - 4. Let o(p) = 5 + 3*p + 2*p**2 - p**3 - 2*p - 2*p. Let m = -413 + 417. Let a(s) = m*o(s) + 5*j(s). Factor a(h).
h*(h - 1)**2
Let y(f) = f**3 + 6*f**2 - 10*f - 21. Let s be y(-7). Suppose -u + 2*u = s, u + 25 = 5*n. Factor 376 - 376 - 80*i**3 + 40*i**4 - n*i**5.
-5*i**3*(i - 4)**2
Let t(h) = -2710*h - 8130. Let o be t(-3). Determine j so that -4*j**3 + 4/5*j**5 + o*j - 12/5*j**2 + 0 - 4/5*j**4 = 0.
-1, 0, 3
Suppose 0*r + 4 = 2*r. Let w = 4799/9595 + -3/19190. Factor -3/2*v**r + 0 - v - w*v**3.
-v*(v + 1)*(v + 2)/2
Factor 1/7*b**3 + 465/7*b**2 - 465/7 - 1/7*b.
(b - 1)*(b + 1)*(b + 465)/7
Let d(x) be the second derivative of -3*x**5/100 + 3*x**4/20 + 9*x**3/10 + 3*x**2/2 - x + 90. Let d(c) = 0. What is c?
-1, 5
Let r(g) be the first derivative of 2*g**6/21 + 256*g**5/35 + 246*g**4/7 + 208*g**3/3 + 482*g**2/7 + 240*g/7 - 1059. Suppose r(b) = 0. What is b?
-60, -1
Suppose -w - 22 = 0, -3*o - 3*w - 56 = 7*o - 5*o. What is z in -31/3*z + 17/3*z**o - 1/3*z**3 + 5 = 0?
1, 15
Suppose 0 = 4*m + 3*z - 33, -5*m - z + 0*z = -55. Let t = m + -9. Determine o, given that -o**2 + 18*o + 3*o**4 - 14*o - 3*o**2 - 5*o**t = 0.
-1, 0, 2/3, 2
Suppose -m = 5*t - 33, -235*t = -233*t + 2*m - 42. Determine d so that 0*d - 39/2*d**t + 0*d**2 + 21*d**4 + 0 - 3/2*d**5 = 0.
0, 1, 13
Let q(k) be the second derivative of -5 - 4*k**2 - 47/20*k**5 + 1/2*k**6 + 10*k**3 - 2*k + 1/2*k**4. Factor q(b).
(b - 2)**2*(b + 1)*(15*b - 2)
Let t(a) be the first derivative of 0*a**2 + 0*a + 1/900*a**6 + 1/300*a**5 + 0*a**4 - 5 - 7/3*a**3. Let f(z) be the third derivative of t(z). Factor f(m).
2*m*(m + 1)/5
Suppose z + 12 = -4*s, 7*z - 8*z = -2*s - 12. Solve y**4 + 24*y**2 - 10*y**z + 16*y - 16*y**3 - 20 - 3*y**4 + 8*y**4 = 0 for y.
-5, -1, 1
Let c = 6 + -2. Suppose 5 = q, -q - 5 = -c*p - 2. Find x, given that x**2 - 3*x + 9*x + 3*x**2 - 6*x**p = 0.
0, 3
Let i(x) = -3*x**4 - 12*x**3 - 55*x**2 + 660*x + 698. Let c(y) = 2*y**4 + y**2 + 1. Let v(f) = -6*c(f) - 3*i(f). Factor v(s).
-3*(s - 10)**2*(s + 1)*(s + 7)
Let i(p) be the third derivative of p**6/60 + 11*p**5/10 + 35*p**4/3 - 7077*p**2. Factor i(t).
2*t*(t + 5)*(t + 28)
Factor 69696/7 + 100/7*g**2 + 5280/7*g.
4*(5*g + 132)**2/7
Let d be (843/2810)/((-1)/(-32)). Factor -12/5*q**4 - 68/5*q**3 + 32/5 - 24*q**2 - d*q.
-4*(q + 2)**3*(3*q - 1)/5
Let z = -24 - -28. Suppose -8*q - z*q**2 + 10*q**3 + 20*q - 22*q**2 = 0. Calculate q.
0, 3/5, 2
Suppose -23*i - 3*i + 78 = 0. Let r(c) = -8*c**2 - 13*c + 12. Let n(p) = 25*p**2 + 40*p - 35. Let y(h) = i*n(h) + 10*r(h). Factor y(a).
-5*(a - 1)*(a + 3)
Let s(a) = 2*a**2 - 11*a - 8. Let d be s(6). Let l be 2/d*(-5 + 5)/(-3). Factor l*r + 16*r**4 - 5*r**2 - 11*r**4 - 5*r**3 + 5*r.
5*r*(r - 1)**2*(r + 1)
Let o = 24365 + -24362. Determine s, given that 16/7*s**2 - 74/7*s**o + 68/7*s**4 - 18/7*s**5 + 0 + 8/7*s = 0.
-2/9, 0, 1, 2
Suppose -5*q = g - 196 + 52, 0 = -q + g + 24. Let l be 2/(78/q - 22/77). Determine c, given that l + 0*c - 4/5*c**2 = 0.
-1, 1
Let y = 361 - 367. Let d(r) = -2*r**3 + 18*r**2 + 40*r + 27. Let k(g) = 2*g**2 + 0 + g**3 - 26 - 40*g - 21*g**2. Let j(z) = y*d(z) - 7*k(z). Factor j(h).
5*(h + 1)*(h + 2)**2
Factor 129 - 39 - 4937*f**2 + 135*f - 35*f**3 + 5*f**4 + 4942*f**2.
5*(f - 6)*(f - 3)*(f + 1)**2
Find c such that -41*c - 1340*c**2 - 699*c - 139*c**3 - 5*c**5 - 190*c**4 + 80*c - 726*c**3 = 0.
-33, -2, -1, 0
Let f(j) = j**4 + 42*j**3 + 7*j**2 - 30*j - 4. Let d(n) = -n**3 - 2*n**2 - 2*n + 1. Let y(g) = -4*d(g) - f(g). What is z in y(z) = 0?
-38, -1, 0, 1
Let y(f) = 4*f + 10. Let p be y(-2). Solve -62*z**3 + 4*z**5 - 6*z**5 - 2 - 2*z + 4*z**2 + 66*z**3 - p*z**4 = 0 for z.
-1, 1
Let z be (4579/190 - 24)/(35/50). Determine w so that 15/7*w - 39/7*w**2 - z + 37/7*w**3 - 12/7*w**4 = 0.
1/12, 1
Let y = 18553/6006 - -1/546. Factor y*n + 8/11 + 26/11*n**2.
2*(n + 1)*(13*n + 4)/11
Let t(u) = 3*u**3 - 11*u**2 + 38*u - 65. Let k(h) = -4*h**3 + 10*h**2 - 38*h + 74. Let j(f) = 5*k(f) + 6*t(f). Determine i so that j(i) = 0.
-10, 1
Let p(k) be the first derivative of -182 - 5/3*k**3 + 25/2*k**2 + 0*k. Find b such that p(b) = 0.
0, 5
Let h(j) be the first derivative of -2*j**5/45 + 38*j**4/9 - 1012*j**3/9 + 2812*j**2/9 - 2738*j/9 - 3401. Factor h(o).
-2*(o - 37)**2*(o - 1)**2/9
Suppose 10176896/7 - 176472/7*t**2 - 1030/7*t**3 - 9999392/7*t - 2/7*t**4 = 0. What is t?
-172, 1
Let k(m) = 1005*m + 33165. Let o be k(-33). Let o + 0*a + 15/4*a**4 + 1/4*a**2 - 4*a**3 = 0. Calculate a.
0, 1/15, 1
Let x(t) = 2*t**2 - 7*t**2 + 784*t + 35 - 749*t. Let u(a) = 5*a**2 - 34*a - 35. Let j(l) = -5*u(l) - 4*x(l). Find z such that j(z) = 0.
-1, 7
Suppose 9*w - 10 = 7*w. Factor 338*d**4 + 32*d**3 - 4*d**5 - 342*d**4 + 0*d**5 + 0*d**w + 48*d**2.
-4*d**2*(d - 3)*(d + 2)**2
Suppose -10/11*c**3 + 2*c**4 + 0*c - 6/11*c**2 - 6/11*c**5 + 0 = 0. Calculate c.
-1/3, 0, 1, 3
Let j be (-18)/54*(3 + -51). Let x(u) be the first derivative of 20/3*u**3 - u**4 - j*u**2 - 6 + 16*u. Factor x(w).
-4*(w - 2)**2*(w - 1)
Let z(w) be the first derivative of -w**6/24 + 4*w**5/5 - 21*w**4/8 + 10*w**3/3 - 13*w**2/8 + 554. Solve z(t) = 0.
0, 1, 13
Let n(o) be the third derivative of -3/40*o**6 + 67*o**2 - 2*o + 0*o**5 + 0*o**4 - 1/70*o**7 + 0*o**3 + 0. What is c in n(c) = 0?
-3, 0
Let g(s) be the first derivative of s**4/54 + 8*s**3/9 + 16*s**2 - 13*s + 24. Let m(j) be the first derivative of g(j). Let m(p) = 0. What is p?
-12
Let j(s) = s**2 - 908*s - 27168. Let h be j(-29). Solve -4/3*f**h + 8*f**3 + 0*f**4 + 4*f - 32/3*f**2 + 0 = 0.
-3, 0, 1
Let c(j) be the third derivative of -1/30*j**5 + 0 - 27*j**2 - 4*j**3 + 0*j + 2/3*j**4. Find r, given that c(r) = 0.
2, 6
Let g = -113 + 116. Determine n, given that 16277*n**4 - 48*n**2 + 3*n**5 + 23*n**3 - 16304*n**4 + 49*n**g = 0.
0, 1, 4
Let j be (0 - 25/(1250/480))/((-45)/100). Factor j*q + 20/3*q**2 + 2/3*q**3 + 64/3.
2*(q + 2)*(q + 4)**2/3
Suppose 2 = 9*t - 7*t. Suppose t = 4*x + 5, -m + x + 10 = 0. Let -389*i**2 - 11*i + 384*i**2 - 15 - m*i = 0. What is i?
-3, -1
Let f(i) = -2*i**3 - i**2 + 1870*i + 20813. Let u(t) = 3*t**3 + t**2 - 2805*t - 31219. Let v(w) = 7*f(w) + 5*u(w). Factor v(a).
(a - 36)*(a + 17)**2
Let q be ((-180)/13680)/((-2)/16). Solve -4/19*x - 2/19*x**2 - q = 0.
-1
Let p be (((-4)/(-6))/(68/(-1530)))/1. Let r be (-432)/(-170) + (-6)/p. Factor 2/17*a**2 + 20/17*a + r.
2*(a + 5)**2/17
Suppose s + 4*k = 26, -6*s = -5*k - 163 - 22. Let f(y) be the second derivative of -s*y**2 + 40/3*y**3 + 0 - 35/12*y**4 + y + 1/4*y**5. Factor f(x).
5*(x - 3)*(x - 2)**2
Let y(o) be the second derivative of -10/9*o**4 - 8/3*o**3 - 1/15*o**5 + 63*o + 0*o**2 + 1/45*o**6 + 0. Factor y(z).
2*z*(z - 6)*(z + 2)**2/3
Suppose 213 = 9*l + 159. Suppose -87 = l*m - 105. Find s, given that -75/4*s**4 - 42*s**m - 12*s**2 + 0*s - 9/4*s**5 + 0 = 0.
-4, -1/3, 0
Let i be (12/(-120)*13)/((28/(-30))/14). Factor -3/4*m**2 + i - 33/4*m.
-3*(m - 2)*(m + 13)/4
Factor 0 - 40/7*t + 30/7*t**3 - 296/7*t**2.
2*t*(t - 10)*(15*t + 2)/7
Let w(v) be the first derivative of v**3/6 + 1355*v**2 + 3672050*v + 11793. Factor w(q).
(q + 2710)**2/2
Let t(j) be the first derivative of -1/2*j**4 + 6*j**2 - 2/3*j**3 + 0*j - 21. Factor t(w).
-2*w*(w - 2)*(w + 3)
Let g = 162257/117 - 12455/9. Factor -16/13*x**2 - g*x - 20/13 + 2/13*x**3.
2*(x - 10)*(x + 1)**2/13
Let k be ((-4)/(-14))/(2 + 949/(-511)). Factor -12/5 + 3*s - 3/5*s**k.
-3*(s - 4)*(s - 1)/5
Determine g, given that -18800*g**2 - 42661 - 76*g**4 + 11286*g + 5*g**5 + 2760*g**3 - 114*g**4 - 17339 + 46714*g = 0.
2, 6, 10
Let -2378/17*w - 4/17 - 1184/17*w**2 + 1188/17*w**4 + 2378