4*v**5 + 540225*v**4/16 + 3*v**2 - 4*v + 42. Factor y(s).
3*s*(s - 245)**2*(s - 3)**2/2
Let s be 402/(-360) - (-72)/60. Let i(j) be the third derivative of s*j**5 + 0*j**3 + 0*j + 27*j**2 - 5/12*j**4 + 0. Let i(k) = 0. What is k?
0, 2
Find y such that 4 + 14/9*y - 20/9*y**2 + 2/9*y**3 = 0.
-1, 2, 9
Let -122/13*h**3 + 0 - 36/13*h**4 - 2/13*h**5 - 144/13*h**2 - 56/13*h = 0. What is h?
-14, -2, -1, 0
Suppose -g - 3*f + 9 = 0, -g + f = -0*g + 7. Let l(t) = -13*t**2 - 40*t. Let z(s) = 7*s**2 + 20*s. Let w(d) = g*l(d) - 5*z(d). Factor w(n).
4*n*(n + 5)
Factor 5/2*w**3 - 595/2*w**2 + 0 + 0*w.
5*w**2*(w - 119)/2
Suppose 5*j - f = 24, j + 0*f - 4 = f. Suppose 16 = 4*a + p, -2*a + 4*p - 25 = -j*a. Factor 9*c - 13 - 21*c + 28*c**2 + 7*c**4 + 13 + 47*c**a.
c*(c + 1)*(c + 6)*(7*c - 2)
Suppose -5*o = 5*r, 5*r + 29 = 3*o - 3. Let h(i) = 5*i + 24. Let v be h(r). Let 5*j**2 + 2*j**v - 2*j**2 + 8*j**3 + 2*j**4 + j**2 = 0. Calculate j.
-1, 0
Let o = -166478/35 - -23814/5. What is s in -242/7 - 2/7*s**2 + o*s = 0?
11
Suppose 336*c + 395 = 331*c. Let p = c - -81. Factor 3/5*i**3 + 0 + 0*i - 3/5*i**p.
3*i**2*(i - 1)/5
Suppose -20 = -2*v + 4*o, -6*o - 11 = -v - 3*o. Let g be (-6)/v*228/(-57). What is p in -p**2 - 1/6*p**4 + 0*p + 0 + 5/6*p**g = 0?
0, 2, 3
Let l = 35 + -34. Let g be 5 - 12/(-3) - l. Let -7*j**3 + 3*j**3 + 24*j**2 + g + 8 - 36*j = 0. What is j?
1, 4
Let u(z) be the first derivative of -5*z**7/84 + z**6/10 - z**5/40 + 45*z - 4. Let c(y) be the first derivative of u(y). What is i in c(i) = 0?
0, 1/5, 1
Factor -552/5*b - 562 + 2/5*b**2.
2*(b - 281)*(b + 5)/5
Let p be 60/(-140) - 0 - (-3)/7. Let y(v) be the first derivative of 5/6*v**6 + 2*v**5 - 6 + 5/4*v**4 + 0*v**3 + p*v**2 + 0*v. Suppose y(a) = 0. What is a?
-1, 0
Let h(a) = -17*a**2 + 33*a - 190. Let w(j) = -3*j**2 + 4*j. Let z(d) = h(d) - 6*w(d). Suppose z(u) = 0. What is u?
-19, 10
Let s = 122 + -120. Factor 21*g**3 + 102*g + 260*g**2 + 154*g**s - 51*g**2.
3*g*(g + 17)*(7*g + 2)
Suppose 13 = -4*m + 5*x, -2*m - 2*x - 3 = -1. Let w be m*(-1 + (-9)/6). Suppose -w*j**2 - 11*j**5 - 7*j - j**2 + 10*j**3 + 9*j**5 - j + 6*j**4 = 0. What is j?
-1, 0, 1, 4
Let b = -1/4510 - -54133/58630. Find c such that -16/13*c**2 + 0 + 2/13*c + 2*c**3 - b*c**4 = 0.
0, 1/6, 1
Let -14772*k**2 - 305*k + 14767*k**2 - 268 - 602 = 0. What is k?
-58, -3
Let a(l) be the second derivative of l**6/360 - 61*l**5/480 + 5*l**4/32 + 23*l**3/2 + l**2 + 297*l. Let p(v) be the second derivative of a(v). Factor p(q).
(q - 15)*(4*q - 1)/4
Let p be (-60)/(-42)*14*(-2)/(-8). Find l such that 6*l**5 + 11*l**3 - 3*l**3 - 64*l**2 - 8*l**p + 8*l**4 - 128*l + 16*l**3 = 0.
-2, 0, 4
Let p(i) be the third derivative of 7*i**2 + 1/24*i**4 + 0*i - 1/4*i**3 + 0 + 1/120*i**5. Factor p(k).
(k - 1)*(k + 3)/2
Determine n, given that -2410*n**4 - 14*n + 0*n**3 + 2414*n**4 - 3*n - 7*n - 20*n**2 + 8*n**3 = 0.
-3, -1, 0, 2
Suppose 0 = -41*f + 33*f - 448. Let s be f/(-35)*45/54. Suppose -s + 2*i**3 - 1/3*i**4 - 13/3*i**2 + 4*i = 0. Calculate i.
1, 2
Let b(g) be the first derivative of g**4/78 - 4*g**2/13 - 29*g - 25. Let c(s) be the first derivative of b(s). Suppose c(h) = 0. Calculate h.
-2, 2
Let y be 72*6*(5/(-2) - -3). Solve 66*m**2 + 6*m**3 - 24*m**2 - 9*m**3 - 180*m + y + 0*m**3 = 0.
2, 6
Let n(w) = -w - 12. Let m be n(-22). Suppose -k = -r + 9, 4*k + 12 = 8*r - m*r. Determine f, given that -12*f**4 - 3 + 17*f**r - 12 - 30*f**2 - 40*f = 0.
-1, 3
Suppose 0 = 49*q - 47*q - 4. Let i be 1 - 5/((-60)/(-9)). Factor 0 + 1/4*t**3 - i*t + 0*t**q.
t*(t - 1)*(t + 1)/4
Let u(t) = 5070*t**4 + 12185*t**3 + 9093*t**2 + 1569*t - 355. Let r(v) = -v**3 + v**2 + v + 5. Let y(a) = 18*r(a) - 2*u(a). Solve y(x) = 0 for x.
-1, -10/13, 2/15
Let n(g) be the second derivative of -g**5/60 - 19*g**4/9 - 1517*g**3/18 - 1369*g**2/3 + 230*g - 4. What is x in n(x) = 0?
-37, -2
Let m(w) = -w**3 - 11*w**2 + w - 5. Let l be m(-11). Let t be ((-4)/l + 6/40)*55. Suppose 104*o**2 + t - 4*o**3 + 2 - 4*o - 120*o**2 = 0. What is o?
-3, -2, 1
Let y(j) be the third derivative of -11*j**8/48 - 521*j**7/105 - 337*j**6/30 + 202*j**5/15 - 4*j**4 - 12515*j**2. Let y(w) = 0. Calculate w.
-12, -2, 0, 2/11, 2/7
Suppose 0 = -w + 9*c - 4*c - 20, -c + 5 = 0. Suppose -w*r + 8 = -r. Factor -42/11*n**r - 4/11 - 26/11*n.
-2*(3*n + 1)*(7*n + 2)/11
Let h(p) = -p**2 - 22*p - 75. Let t be h(-17). Factor 46*d**2 + 21*d + 26 - t*d - 98*d**2 + 51*d**2.
-(d - 13)*(d + 2)
Suppose 73*d + 546 = 326*d - 71*d. Factor 22/7*n - 32/7*n**2 - 4/7 + 2*n**d.
2*(n - 1)**2*(7*n - 2)/7
Let n = -2/83566611 + -111255012784/83315911167. Let v = -2/997 - n. Factor 4/3*a + 4/3 - v*a**3 - 4/3*a**2.
-4*(a - 1)*(a + 1)**2/3
What is f in -43*f**2 - 1/3*f**3 - 1404 - 480*f = 0?
-117, -6
Suppose 3*t = 3*u + 9, 5*u + 3 - 2 = -2*t. Suppose -2*z - h + 147 = 0, -153*z = -154*z + 2*h + 71. What is o in 35*o**3 + z*o + 13*o - 115*o**t - 20 + 14*o = 0?
2/7, 1, 2
Let n(p) = p**5 + p**4 - 2*p**2 - 6*p + 1. Let z(c) = -8*c**5 - 24*c**4 + 672*c**3 - 2440*c**2 + 24*c - 4. Let b(j) = 4*n(j) + z(j). Factor b(r).
-4*r**2*(r - 6)**2*(r + 17)
Let j be (-41 + (40 - -5) + -1*4)/(-3 - -2). Let n**3 + j*n + 0*n**4 - 1/3*n**5 + 2/3*n**2 + 0 = 0. Calculate n.
-1, 0, 2
Suppose -m + 9 = 3*l, -193*l = -194*l + 2*m + 10. Factor -9/2*n**2 - 9/2*n + 0 + 1/2*n**l + 1/2*n**3.
n*(n - 3)*(n + 1)*(n + 3)/2
Let w be 5/(2/12 + 0). Suppose 24 = -3*d - 4*b + 62, -2*d = -3*b - 31. Factor 11*y**2 + w - 5 - 21*y - d*y - y**3.
-(y - 5)**2*(y - 1)
Let h = -8067 + 8072. Let u(s) be the third derivative of 0*s**3 + 0*s**4 + 0*s + 0 + 7*s**2 + 1/15*s**h. Factor u(t).
4*t**2
Let i(q) be the first derivative of -q**6/8 + 29*q**5/6 + 515*q**4/24 + 35*q**3 + 113*q**2/2 + 116. Let m(w) be the second derivative of i(w). Factor m(y).
-5*(y - 21)*(y + 1)*(3*y + 2)
Factor 4/5*g**2 + 928/5 + 932/5*g.
4*(g + 1)*(g + 232)/5
Determine a, given that -23*a**2 + 36 - 6*a - 13/2*a**3 - 1/2*a**4 = 0.
-6, -2, 1
Let q = 893/417 + -66/139. Let k(t) be the second derivative of 0 + q*t**3 - 18*t + 0*t**2 + 0*t**5 + 1/6*t**6 - 5/4*t**4. Factor k(h).
5*h*(h - 1)**2*(h + 2)
Suppose -12*o + 803 - 323 = 0. Let x be (0 + -3)/(-3)*16/o. Factor 8/5*f**2 - x*f**3 + 4/5 - 2*f.
-2*(f - 2)*(f - 1)**2/5
Suppose -258*s = -136*s - 126*s. Let q(o) be the second derivative of 0*o**2 + 10*o - 1/2*o**3 - 1/4*o**4 + s. Factor q(n).
-3*n*(n + 1)
Let k = -139 - -141. Suppose -14*z + 15*z - k = 0. Factor -1/6*m**z - 1/6 - 1/3*m.
-(m + 1)**2/6
Determine l, given that 1/3*l**3 - 8/3*l**2 + 17/3*l - 10/3 = 0.
1, 2, 5
Let r = 88137 - 881369/10. Factor 1/5 - r*b**2 + 1/10*b.
-(b - 2)*(b + 1)/10
Factor -52*i - 277*i + 90*i - 414 - 43*i - 3*i**2 - 135*i.
-3*(i + 1)*(i + 138)
Let s be (-7)/(-2) + (-75)/(-50). Find t such that 0*t**2 + 871*t**5 + 5*t**4 - t**3 - 4*t**3 + 2*t - s*t**2 - 868*t**5 = 0.
-2, -1, 0, 1/3, 1
Let v(x) be the third derivative of -x**5/240 - 1265*x**4/24 - 1600225*x**3/6 + 7173*x**2. Determine j, given that v(j) = 0.
-2530
Let r = 324 - 220. Solve -40*n**4 + r*n**3 - 24*n**2 + 13*n**5 - 82*n**4 + 17*n**5 = 0 for n.
0, 2/5, 2/3, 3
Factor -2/13*d**3 - 178/13*d**2 - 3872/13 - 4048/13*d.
-2*(d + 1)*(d + 44)**2/13
Let c(q) be the second derivative of -q**4/78 + 15*q**3/13 - 164*q**2/13 + 18*q + 55. Factor c(p).
-2*(p - 41)*(p - 4)/13
Let q(g) be the first derivative of -104/57*g**3 - 11/19*g**2 + 12/19*g - 36. Find u, given that q(u) = 0.
-6/13, 1/4
Let s(z) be the second derivative of -z**7/126 - z**6/3 - 9*z**5/2 + 1215*z**3/2 + 6561*z**2 + 14*z - 93. Solve s(d) = 0.
-9, 6
Let y(g) be the second derivative of g**4/102 + 95*g**3/51 - 500*g**2/17 - 138*g + 3. Factor y(j).
2*(j - 5)*(j + 100)/17
Let u = -1415 - -636. Let o = -777 - u. Find c, given that -1/4*c**4 + 1/2*c**3 + 3/4*c**o - c - 1 = 0.
-1, 2
Determine v, given that -5137*v**2 - 47*v**3 - 3696*v - 65*v**3 + 6185*v**2 + 4356 + 4*v**4 = 0.
3, 11
Factor -172200/13*c**2 - 8954/13*c**3 - 658952/13*c - 2/13*c**5 + 300/13*c**4 + 0.
-2*c*(c - 82)**2*(c + 7)**2/13
Let w = -171/20 + 35/4. Let v = 37/15 + w. Suppose 0*b + 28/3*b**4 + 16/3*b**3 - 16/3*b**2 + 0 + v*b**5 = 0. Calculate b.
-2, 0, 1/2
Factor 4/9*h**2 + 169744/9 - 1648/9*h.
4*(h - 206)**2/9
Suppose -20*k + 492 - 72 = 0. Suppose -3*d + k = -3*u, 10 = 2*u + 2. What is t in -3*t**3 - 15*t**2 + 4*t + t - d - 29*t - 1