 + 1/18*i**4 - 1/30*i**5 + 0*i**3. Let o(g) = 0. Calculate g.
0, 1
Let v(d) = 45*d**2 - 91*d - 95. Let c(u) = 22*u**2 - 46*u - 38. Let t(a) = -5*c(a) + 2*v(a). Factor t(b).
-4*b*(5*b - 12)
Let o = -242 - -245. Factor 5*t**5 + t**5 - o*t**5 - 8*t**3 - 6*t**2 - t**3.
3*t**2*(t - 2)*(t + 1)**2
Let z(l) be the second derivative of -l**10/10080 - l**9/840 - l**8/448 - 25*l**4/4 - 2*l + 13. Let m(g) be the third derivative of z(g). Factor m(c).
-3*c**3*(c + 1)*(c + 5)
Let l(g) be the first derivative of g**4 - 112*g**3/3 + 106*g**2 - 104*g + 4368. What is z in l(z) = 0?
1, 26
Let i(t) = t**3 - 7*t**2 - 14*t - 19. Let a be i(9). What is l in -201*l**2 - 17*l - 3*l**3 + 204*l**2 + 36*l + a*l = 0?
-3, 0, 4
Suppose 0*w + 81 = n + 4*w, 2*w = n - 111. Factor -79*a**3 - 3*a**2 + 5*a**4 - 10*a + n*a**3 - 14*a**2.
a*(a - 1)*(a + 5)*(5*a + 2)
Factor -150/11 - 298/11*g + 2/11*g**3 - 146/11*g**2.
2*(g - 75)*(g + 1)**2/11
Let h(a) = -8*a**2 + 60*a - 200. Let b(c) = 15*c**2 - 119*c + 399. Let o(q) = 4*b(q) + 7*h(q). Factor o(j).
4*(j - 7)**2
Let i be ((-24)/143)/((-16362)/1919808). Find k such that 8192/13 + i*k + 2/13*k**2 = 0.
-64
Let r(k) be the first derivative of -k**3/27 - 16*k**2/3 - 1904*k/9 + 137. Factor r(y).
-(y + 28)*(y + 68)/9
Suppose 3600 - 352*l**3 + 761*l**3 + 1440*l - 449*l**3 - 4*l**4 + 44*l**2 = 0. Calculate l.
-6, -5, 6
Let h(x) = -5*x**2 - 108*x + 16. Let z be h(-21). Suppose z*i - 91*i = -48. Factor 0*b**3 + 0 + 1/3*b**i - 2/3*b - b**2.
b*(b - 2)*(b + 1)**2/3
Let q = 50029 - 50021. Suppose -38/9*o**2 - q*o + 8/9 = 0. What is o?
-2, 2/19
Suppose -3*j + 11 = -t + 2, 12 = 4*j - 4*t. Let k be (-2 + 1)*-1*j. Factor 9*l**2 - 279*l - 4*l**k + 273*l + l**3.
-3*l*(l - 2)*(l - 1)
Let c = -3 - -4. Let h(s) = -s**2 + s. Let z be 0 - 2/(-10) - 196/(-70). Let b(g) = 2*g**2 - 2*g. Let f(i) = c*b(i) + z*h(i). Factor f(t).
-t*(t - 1)
Let g = 6493/14 + -899/2. Let z = -11 - -13. Solve -4/7*m**z - 40/7*m - g = 0.
-5
Let n be (-19)/(-38)*12/42. Let w(c) be the first derivative of 1/28*c**4 - n*c**3 - 5/7*c - 28 - 9/14*c**2. Solve w(t) = 0 for t.
-1, 5
Let z(k) be the first derivative of -k**4/20 + 67*k**3/15 + 429*k**2/10 + 657*k/5 + 962. Solve z(c) = 0 for c.
-3, 73
Let u(j) be the third derivative of 32*j**2 + 0*j - 1 - 1/72*j**6 + 5/12*j**3 + 5/72*j**4 - 1/18*j**5 + 1/252*j**7. Determine c, given that u(c) = 0.
-1, 1, 3
Suppose -18 = 2*s - 8, 5*s = 2*m - 131. Let -4*y**5 - 12*y**4 - m*y + 42*y**2 + 2*y + 7*y**5 + 18 = 0. What is y?
-2, 1, 3
Let o(v) be the first derivative of -5*v**4/12 - 25*v**3/6 + 47*v + 9. Let z(m) be the first derivative of o(m). Factor z(d).
-5*d*(d + 5)
Let f be 102 - 100 - (-9 - -1). Let h(j) be the third derivative of 1/75*j**5 + 1/300*j**6 + 0*j - f*j**2 + 0 - 2/5*j**3 - 1/12*j**4. Factor h(a).
2*(a - 2)*(a + 1)*(a + 3)/5
Factor -2280 - 3964*j + 943*j + 736*j - 5*j**2.
-5*(j + 1)*(j + 456)
Suppose 9*w - 704 + 780 = 5*v, 5*v - 4*w - 56 = 0. Factor -40/7*i**2 - 4/7*i**3 - 92/7*i - v.
-4*(i + 1)*(i + 2)*(i + 7)/7
Let b = -499 - 69. Let a = 3980/7 + b. What is f in 0 + 0*f - 2/7*f**5 + 2/7*f**3 - 4/7*f**4 + a*f**2 = 0?
-2, -1, 0, 1
Let q(j) be the third derivative of 0*j + 0*j**5 + 19*j**2 - 1/3696*j**8 - 1/1320*j**6 + 0*j**4 + 0*j**3 - 3 + 1/1155*j**7. Find z such that q(z) = 0.
0, 1
Let n be ((-18)/(-150))/(132/1540). Let d(u) be the first derivative of -31/2*u**2 - 5/4*u**4 - 37/3*u**3 + n*u**5 - 6*u + 29. Factor d(q).
(q - 3)*(q + 1)**2*(7*q + 2)
Suppose 20*w = -94*w - 29*w - 59*w. Solve 18/5*i**2 + 3*i**3 + w + 3/5*i**4 + 0*i = 0 for i.
-3, -2, 0
Let i = 8 - 3. What is p in 7 + 32 + 717*p - i*p**2 - 637*p + 46 = 0?
-1, 17
Let j = 2378 - 2372. Suppose -2*b - 2*z = 0, b - 3*z + j*z + 10 = 0. Factor -2/3*g**b + 2/3 + 2*g + 4/3*g**2 - 2*g**4 - 4/3*g**3.
-2*(g - 1)*(g + 1)**4/3
Let y be (9/2)/(-6*3/(-24)). Suppose 10*z = y*z + 96. Factor -7*c**3 - z*c + 17*c**3 - 47*c**2 + 11*c**4 + 36 + c**5 + 13*c**3.
(c - 1)**2*(c + 1)*(c + 6)**2
Determine z so that 6/5*z**5 + 123/5*z**4 + 66/5*z + 939/5*z**2 - 312/5 - 822/5*z**3 = 0.
-26, -1/2, 1, 4
Let d be 372856/477220 + 4/214. What is k in -3/5*k + d*k**3 - 9/5 + 8/5*k**2 = 0?
-3/2, 1
Find l, given that -2210544*l - 48 + 2*l**4 + 2210266*l - 42*l**3 + 168 + 198*l**2 = 0.
1, 4, 15
Let m(s) = -49*s + 1473. Let a be m(30). Let z(v) be the first derivative of -15*v**a + 35/2*v**2 - v**5 + 5 - 10*v + 25/4*v**4. Suppose z(q) = 0. What is q?
1, 2
Suppose -5*j + 54 = -241. Factor 3*t - j*t**2 + 2*t - 10 + 64*t**2.
5*(t - 1)*(t + 2)
Let k = 11294/235 + -2240/47. Factor -k - 3/5*j**2 + 7/5*j.
-(j - 2)*(3*j - 1)/5
Let j be 126/(-45)*-5 + 7. Let t(k) be the second derivative of 4/3*k**2 + k**3 + 1/3*k**4 + j*k + 1/30*k**5 + 0. Find s such that t(s) = 0.
-4, -1
Let t be (-8)/30*15/(504/(-30) + 15). Let u(k) be the first derivative of -t*k + 14/27*k**3 + 11/3*k**2 - 20. Factor u(p).
2*(p + 5)*(7*p - 2)/9
Factor 308/5*s**2 + 2/5*s**3 - 1264/5*s + 0.
2*s*(s - 4)*(s + 158)/5
Let l(c) be the first derivative of -c**4/14 - 94*c**3/21 - 46*c**2/7 - 2239. Suppose l(g) = 0. Calculate g.
-46, -1, 0
Let d(n) = 8*n + 1. Let s(f) = -7*f - 1. Let q(o) = -6*d(o) - 7*s(o). Let v be q(5). Factor g**3 + 16*g**2 - v*g**2 - 3*g**3 + 4*g**3 + 16*g + 8.
2*(g + 1)*(g + 2)**2
Let x = -1/6784 + 27441/2069120. Let p = 1208/915 + x. Find z, given that -2*z**2 + p*z + 4/3*z**3 - 1/3*z**4 - 1/3 = 0.
1
Solve 0 - 97/3*k**2 + 1/3*k**3 + 124*k = 0.
0, 4, 93
Let i(m) = m**3 + 17*m**2 - m - 12. Let y(g) = -2*g**3 - 18*g**2 + 2*g + 12. Let j(x) = 6*i(x) + 5*y(x). Determine v, given that j(v) = 0.
-1, 1, 3
Factor -8289 + 16525 + 9062 + 513*v + 32*v**2 - 141*v - 30*v**2.
2*(v + 93)**2
Factor -5/6*a**2 - 7655/6*a + 3830/3.
-5*(a - 1)*(a + 1532)/6
Let f be (90/(-135))/((16/78)/2)*(-4092)/13299. Determine d, given that -1/4*d**3 - 10 - 81/4*d - 21/2*d**f = 0.
-40, -1
Let y be (-10)/((-20)/(-6)) - (-10 + (9 - 5)). Let z(t) be the first derivative of 0*t**y + 6*t**4 - 64*t**2 - 33 - 4/5*t**5 + 0*t. Factor z(n).
-4*n*(n - 4)**2*(n + 2)
Suppose j + 5*m = 51, j = -22*m + 24*m + 72. Let k be 2 - (j/(-5) - -12). Determine i so that -k + 14/5*i + 2/5*i**2 = 0.
-8, 1
Suppose 0 = -4*a + 2*f - 5*f + 66, -2 = -f. Suppose -x - a = -4*x. Determine i so that 5*i**x - 5*i**4 - 10*i**3 - 5 + 10*i**2 - 15*i + 7*i + 13*i = 0.
-1, 1
Let d be (-145)/(-15) + 7 - 84/14. Suppose 4*p + 8 = 8*p. Factor -128/9*o**3 - d*o**p + 0 - 2*o.
-2*o*(8*o + 3)**2/9
Let a(g) be the first derivative of -1/15*g**4 + 0*g - 5 - 7*g**2 + 2/15*g**3 + 1/75*g**5. Let v(y) be the second derivative of a(y). Factor v(x).
4*(x - 1)**2/5
Let y(v) = v**3 - 9*v**2 + 10*v - 198. Let d be (-2)/(-8)*(3 + 37). Let c be y(d). Factor -1/10*o**c + 3/10 + 1/5*o.
-(o - 3)*(o + 1)/10
Suppose -5*c + 3*s = 9165, -2*s = -6*s. Let d = -14655/8 - c. Factor 0 - 3/8*b**3 - 3/4*b + d*b**2.
-3*b*(b - 2)*(b - 1)/8
Let 84/11*v - 82/11*v**2 + 8/11*v**4 - 16/11 + 6/11*v**3 = 0. What is v?
-4, 1/4, 1, 2
Let f(z) be the first derivative of -2*z**3/15 - 416*z**2/5 - 1811. Determine n so that f(n) = 0.
-416, 0
Let p(x) = 3*x**2 - 28*x - 245. Let c(z) = 7*z**2 - 55*z - 489. Let u(d) = -4*c(d) + 9*p(d). Let k be u(-14). Factor 2/3*q**2 - 2/3*q + 2/3*q**k - 2/3.
2*(q - 1)*(q + 1)**2/3
Solve 1226*j**3 + 1214*j**3 - 24 - 2467*j**3 + 126*j - 75*j**2 = 0 for j.
-4, 2/9, 1
Let p(d) = -4*d**3 - 2*d - 3. Let l be p(-1). Find m, given that 356*m**2 + 6*m**3 + 18*m**3 - 4*m**l + 5*m**4 - 461*m**2 = 0.
-7, 0, 3
Let h(c) = -c**2 + c. Let l(r) = 9*r**4 + 5*r - 28*r**4 - 13*r**2 + 10*r**4 + 7*r**3 + 10*r**4. Let b(o) = -5*h(o) + l(o). Factor b(k).
k**2*(k - 1)*(k + 8)
Suppose -1444 + 3721/3*i**2 + 220/3*i**3 + i**4 - 11780/3*i = 0. Calculate i.
-38, -1/3, 3
What is o in 3/7*o**3 - 30/7 + 9*o - 36/7*o**2 = 0?
1, 10
Let f(h) be the first derivative of -1/2*h**2 + 2/3*h + 0*h**3 - 70 + 1/12*h**4. Factor f(c).
(c - 1)**2*(c + 2)/3
Let m(n) = -n**3 - 8*n**2 + 2. Let g be m(-8). Suppose 0 = -g*l - 2*l + 80. Factor -l*u + 5*u**3 - 481 + 481.
5*u*(u - 2)*(u + 2)
Let s(b) be the first derivative of -b**6/30 + 7*b**5/20 - 17*b**4/12 + 17*b**3/6 - 3*b**2 + 35*b + 42. Let f(q) be the first derivative of s(q). Factor f(g).
-(g - 3)*(g - 2)*(g - 1)**2
Let a be (-22)/6 + 18778/1374. Factor 10/3*i**4 + 160/3*i**2 - 30*i**3 - 115/3*i + a + 5/3*i**5.
5*(i