*(u + 3)/7
Let l(o) = -4*o**4 + 69*o**3 - 100*o**2 - 213*o. Let j(y) = y**4 - 13*y**3 + y**2 + 3*y. Let h(q) = -5*j(q) - l(q). Factor h(z).
-z*(z - 9)*(z + 2)*(z + 11)
Determine q so that -24*q**2 + 18*q**3 + 5757*q - 5748*q - 4*q**5 + 4*q**5 - 3*q**5 = 0.
-3, 0, 1
Suppose 0 + 27/4*q**2 - 9/2*q**3 - 3/4*q**4 + 21/2*q = 0. Calculate q.
-7, -1, 0, 2
Let d(v) = -7*v**3 + 30*v**2 - 19*v + 1. Let r(b) = 14*b**3 - 58*b**2 + 38*b - 3. Let o(y) = 9*d(y) + 5*r(y). Factor o(q).
(q - 1)**2*(7*q - 6)
Determine x, given that -5226/11 + 5232/11*x - 6/11*x**2 = 0.
1, 871
Let a be (-696)/(-203)*56/2. Let l be 4/(a/28)*(-12)/(-21). Find d such that -5*d**2 + 0 + l*d = 0.
0, 2/15
Let z(l) be the first derivative of l**8/420 - l**7/210 - l**6/90 + l**5/30 + 3*l**3 - l**2 + 14. Let g(f) be the third derivative of z(f). Factor g(p).
4*p*(p - 1)**2*(p + 1)
Let 12*r**3 - 42*r**4 + 104*r**4 + 4*r**3 - 61*r**4 - 5*r**3 = 0. Calculate r.
-11, 0
Let s(i) be the first derivative of 0*i + 0*i**2 - 1/18*i**6 - 11 + 1/15*i**5 + 0*i**3 + 1/6*i**4. Factor s(v).
-v**3*(v - 2)*(v + 1)/3
Let v(d) be the first derivative of d**4/20 - 22*d**3/5 + 513*d**2/10 + 6375. What is m in v(m) = 0?
0, 9, 57
Let y(b) be the first derivative of -49*b**4 + 2*b - 15*b**2 + 91/2*b**3 + 148. Factor y(h).
-(7*h - 2)**2*(8*h - 1)/2
Find g, given that 1264/7*g + 12/7*g**2 - 848/7 = 0.
-106, 2/3
Let h(l) be the first derivative of 2*l**3/27 + 170*l**2/9 - 38*l - 628. Find g, given that h(g) = 0.
-171, 1
Let f = -58279/119 + 8362/17. Find c such that -3/7*c**5 + f*c**4 - 15/7*c**2 + 12/7*c - 9/7*c**3 + 0 = 0.
-1, 0, 1, 4
Let c = 27 - 21. Suppose -41 + c = -7*w. Suppose -3*y - w*y**4 + 8*y**4 + 2*y**2 + 3*y**3 + y**2 - 6*y**4 = 0. What is y?
-1, 0, 1
Factor 96/5*f**2 - 92/5*f - 4/5*f**3 + 0.
-4*f*(f - 23)*(f - 1)/5
Let t(n) = n**3 + 7*n**2 + 10*n + 10. Let g be t(-7). Let u = g - -63. Factor 12*k**u - 85*k + 4*k**2 + 85*k.
4*k**2*(3*k + 1)
Let h = 6/287867 + 575680/2590803. Factor 1346/9*b**3 - 800/3*b**2 - 100/9*b**4 + 128*b + 0 + h*b**5.
2*b*(b - 24)**2*(b - 1)**2/9
Let n(j) be the third derivative of j**5/180 - 7*j**4/72 + 2*j**3/3 + 7*j**2 + 3. Suppose n(h) = 0. What is h?
3, 4
Let k(d) be the first derivative of d**5/30 - 5*d**4/18 - 2*d**3/3 - 73*d - 58. Let q(b) be the first derivative of k(b). Factor q(t).
2*t*(t - 6)*(t + 1)/3
Let n(u) be the first derivative of u**5/30 - 7*u**4/6 - 40*u**2 + 23. Let h(j) be the second derivative of n(j). Solve h(k) = 0 for k.
0, 14
Suppose -8*r + 2*j = -6*r - 12, j - 24 = -5*r. Let t be 3/5*r/6. Factor t*a**2 - 5/2*a + 3.
(a - 3)*(a - 2)/2
Let n(a) be the first derivative of -a**6/360 + a**5/60 + 2*a**3/3 + 14*a + 7. Let f(t) be the third derivative of n(t). Let f(j) = 0. Calculate j.
0, 2
Factor 7/2*i**3 + 41/2*i**2 - 72 - 69*i.
(i - 3)*(i + 8)*(7*i + 6)/2
Let n(j) be the first derivative of j**7/735 + j**6/60 + j**5/15 + 2*j**4/21 - 79*j**2/2 - 49. Let k(y) be the second derivative of n(y). Solve k(w) = 0 for w.
-4, -2, -1, 0
Let i(d) = d**3 - 16*d**2 - 55*d - 35. Let h be i(19). Let p be (-1)/(h/9) - 81/(-21). What is s in p + 9/7*s + 3/7*s**2 = 0?
-2, -1
Let t = 79248 - 79248. Factor 12/5*q**3 - 3/5*q**5 + t*q + 0 + 0*q**2 + 0*q**4.
-3*q**3*(q - 2)*(q + 2)/5
Suppose 94 = 38*s - 96. Let b be (-26)/6 + (s + 5)/2. Factor -8/3*c**4 - b*c - 2/3*c**5 + 0 - 4*c**3 - 8/3*c**2.
-2*c*(c + 1)**4/3
Let k = -18 - -16. Let b be 9/k*4/(-9). Solve -b - 4*u - 6 - 7 + 7 + 4*u**2 = 0 for u.
-1, 2
Let t be -5 + (-1 - 6) + 35/2. Factor 0 + t*k + 1/2*k**2.
k*(k + 11)/2
Let z(c) = 4*c + 40. Let n be z(-11). Let x be (-9000)/(-27) + n/(-6). Let -4*k + x*k**3 - k - 339*k**3 + 10*k**2 = 0. Calculate k.
0, 1
Let r = 37 - 46. Let f(c) = c**2 + 8*c - 5. Let b be f(r). What is o in -2*o**2 + 13*o**2 + 8*o**3 - b*o + 3*o**2 = 0?
-2, 0, 1/4
Suppose -2*d + 4 = -d. Solve -18*m + 26*m + 2*m**5 - 4*m**4 + d*m**2 - 10*m = 0.
-1, 0, 1
Let k(r) be the first derivative of -r**8/2520 + 2*r**7/1575 - r**6/900 - 45*r**2 + 89. Let c(y) be the second derivative of k(y). What is o in c(o) = 0?
0, 1
Let v be (7780/6 - -2) + (-31)/186. Let j = 1301 - v. Factor 0 - j*w + 1/2*w**2.
w*(w - 5)/2
Find l, given that 40*l**3 - 65*l**2 + 30*l - 7659*l**4 + 15319*l**4 - 7665*l**4 = 0.
0, 1, 6
Let u(j) be the first derivative of j**3/18 + 277*j**2/12 - 2036. Find m, given that u(m) = 0.
-277, 0
Let b be (3 + -3 + 6/9)/(324/4131) + -7. Find w such that -1/2*w - b*w**3 - 3/2*w**2 + 0 - 1/2*w**4 = 0.
-1, 0
Let h(q) be the second derivative of -q**4/6 - 94*q**3/3 + 392*q**2 + q + 910. Factor h(c).
-2*(c - 4)*(c + 98)
Suppose -436*y**4 - 92*y + 2312*y**3 - 75 - 4880*y**2 - 530 + 28*y**5 - 547 + 1038*y + 3182*y = 0. What is y?
4/7, 1, 2, 6
Suppose 27/4 - 49/2*i**2 - 3*i + 7/4*i**4 - 13*i**3 = 0. Calculate i.
-1, 3/7, 9
Determine o so that -5373120*o + 9268*o**2 - 2738 + 2662019 - 4*o**3 + 2704575 = 0.
1, 1158
Let v(c) be the third derivative of 3/56*c**4 + 0 + 0*c - 14*c**2 + 0*c**3 - 1/140*c**5. Determine f, given that v(f) = 0.
0, 3
Let c = -2005422 - -2005422. Factor 42*m**2 - 3/2*m**3 + c - 81/2*m.
-3*m*(m - 27)*(m - 1)/2
Let u be (-2)/(-3)*18/480. Let a(v) be the third derivative of -6*v**2 - 32*v**3 + 0*v + u*v**6 + 6*v**4 - 3/5*v**5 + 0. Factor a(q).
3*(q - 4)**3
Let d be (-3 - 15/(-9))/((-327)/1308*32/18). Factor -d*r**3 - 5/3*r**4 + 28/3*r + 13/3*r**2 + 4 + 1/3*r**5.
(r - 6)*(r - 2)*(r + 1)**3/3
Let y be -4 + 2 + 14 + -8. Let g be (-351)/78*y/(-3). Find o, given that -15/2 + 3/2*o**2 - g*o = 0.
-1, 5
Find m, given that 404*m - m**3 + 33*m**2 - 474*m + 140*m = 0.
-2, 0, 35
Solve 2*y**4 - 6*y**4 + 6*y - 26*y + 125*y**2 - 179*y**2 - 30*y**3 = 0.
-5, -2, -1/2, 0
Let a(o) = -656*o - 11152. Let g be a(-17). Factor 0 - 2*s**3 + g*s + 2*s**4 - 2/3*s**5 + 2/3*s**2.
-2*s**2*(s - 1)**3/3
Suppose -18*l + 17*l + 28 = -2*j, 2*l - 60 = 5*j. Let b = 22 - l. Factor 1/4*p**3 + 0*p**b - 1/4*p + 0.
p*(p - 1)*(p + 1)/4
Let l(t) = 3*t**3 + 243*t**2 - 5*t - 243. Let j(h) = -6*h**3 - 486*h**2 + 11*h + 486. Let g(y) = 2*j(y) + 5*l(y). Factor g(u).
3*(u - 1)*(u + 1)*(u + 81)
Let y(m) be the second derivative of -2*m**7/21 + 8*m**6/15 + 79*m**5/5 - 526*m**4/3 + 536*m**3 - 720*m**2 + 1980*m + 2. Determine n, given that y(n) = 0.
-10, 1, 6
Suppose -139*j + 1320 = -29*j. Suppose -5*g - 5*u = -6*u - 15, -4*g = 5*u - j. Find w such that 3/2*w + 3/2*w**g + 6*w**2 - 9 = 0.
-3, -2, 1
Suppose 5*p - 23 = -2*t, -5*p = -t + 6*t - 35. Let s be ((-3)/t)/(6/(-16)*1). Factor -76 + 39 + 8*k + s*k**2 + 43.
2*(k + 1)*(k + 3)
Let y(q) = -q**3 - 11*q**2 - 18*q + 62. Let u be y(-5). Let x(i) be the first derivative of 0*i**u + i - 1/3*i**3 + 2. What is a in x(a) = 0?
-1, 1
Suppose -5*x - 14 = -2*a, -348*x = -350*x - 4*a + 28. Let g(r) be the first derivative of -1/22*r**4 + 6/11*r**2 + x*r - 24 + 2/33*r**3. Factor g(n).
-2*n*(n - 3)*(n + 2)/11
Let s be ((-6)/15)/((-10186)/(-2315)) - 36/(-154). Suppose -1/7*t**5 + 2/7*t**4 + s*t - 2/7*t**2 + 0 + 0*t**3 = 0. What is t?
-1, 0, 1
Let v be (-26)/(78/1) - -1. Let l = 17/3 - 11/2. Factor -v - l*y**2 + 5/6*y.
-(y - 4)*(y - 1)/6
What is n in -116/9*n - 182/3*n**2 + 32/9 + 1670/9*n**3 - 200/9*n**4 = 0?
-1/4, 1/5, 2/5, 8
Let q(u) be the first derivative of u**4/18 - 88*u**3/27 - 400*u**2/9 - 1664*u/9 - 1430. Find c such that q(c) = 0.
-4, 52
Let w(z) be the second derivative of -486/5*z**2 + 41*z - 1/20*z**4 + 2 - 18/5*z**3. Factor w(n).
-3*(n + 18)**2/5
Let w(s) be the first derivative of -1/20*s**5 + 0*s**4 - 8 + 0*s**3 + 0*s - 9/2*s**2. Let b(m) be the second derivative of w(m). Find i, given that b(i) = 0.
0
Let t(b) = -b**3 + 16*b**2 + 11*b + 102. Let u be (78/(-234))/((-2)/102). Let n be t(u). What is f in n - 3/4*f**3 + 0*f**2 + 0*f = 0?
0
Let v(k) = -k - 36. Let h(l) = 2*l + 37. Let r(u) = -2*h(u) - 3*v(u). Let z be r(26). Factor 10*b**2 + z*b + 5*b**3 + 8*b - 11*b.
5*b*(b + 1)**2
Let g(i) = 62*i**3 - 3478*i**2 + 876*i + 10. Let h(y) = 21*y**3 - 1159*y**2 + 282*y + 3. Let z(t) = 3*g(t) - 10*h(t). Factor z(b).
-4*b*(b - 48)*(6*b - 1)
Suppose -114*v**4 + 560*v**3 - 2383280 - 15*v**3 - 19551*v**2 + 379595*v + 109*v**4 - 2304*v**2 = 0. Calculate v.
16, 31
Let j(u) be the second derivative of -98/3*u**3 - 59*u - 1/60*u**5 - 2 - 1372/3*u**2 - 7/6*u**4. Let j(w) = 0. Calculate w.
-14
Let i(s) be the third deriva