*5/35 + 172*y**4/21 + 15*y**3 + 100*y**2/7 + 6966*y. What is x in j(x) = 0?
-5, -1, 20
Suppose -11 = 6*c + 73. Let f be (((-266)/c)/(-76))/(6/(-32)). Factor f*d**4 - 4/3*d**2 + 0 - 1/3*d + 1/3*d**3.
d*(d - 1)*(d + 1)*(4*d + 1)/3
Suppose 0 = 12*p - 0*p. Let h be (-33)/(-18) + p + 3/18. Factor 6*d**2 + 15 - 9 - 9*d - 2*d**2 - d**h.
3*(d - 2)*(d - 1)
Let j(u) = -2*u**3 - u**2 + 1. Let r(m) = -4*m**3 + 20*m**2 + 36*m + 20. Suppose 4*i - 4 = -12*c + 16*c, 2 = -3*i + 2*c. Let a(b) = i*j(b) + r(b). Factor a(n).
4*(n + 1)**2*(n + 4)
Let f = -423 + 358. Let h be (-8)/24*13/(f/30). Suppose 18/11 + 2/11*u**h - 12/11*u = 0. Calculate u.
3
Let y(m) be the second derivative of 0 + 1/12*m**4 + 3/4*m**3 - 5/4*m**2 + 58*m. Factor y(s).
(s + 5)*(2*s - 1)/2
Let g(a) be the third derivative of -a**8/108 + 2*a**7/315 + 13*a**6/90 + 41*a**5/135 + 2*a**4/9 - 12*a**2 - 10*a. Solve g(u) = 0 for u.
-1, -4/7, 0, 3
Factor 5638*r**2 + 5*r**3 + 4040*r**2 - r**3 - 686*r**2 + 5053504*r.
4*r*(r + 1124)**2
Let m = -64 + 64. Factor 18 - 99*k + 78*k + m*k**2 + 2*k**2 + k**2.
3*(k - 6)*(k - 1)
Suppose -128*h**5 - 42*h**2 + 39*h**3 + 125*h**5 - 72*h + 35094*h**4 - 35088*h**4 = 0. What is h?
-3, -1, 0, 2, 4
Factor 0 - 10/9*c**3 - 2/9*c**4 + 352/9*c**2 + 0*c.
-2*c**2*(c - 11)*(c + 16)/9
Suppose 12*k = 3*k + 783. Factor 5*w**3 + w + 30*w**2 - 6*w + k - 117.
5*(w - 1)*(w + 1)*(w + 6)
Let i(x) = x**3 + 25*x**2 - 2*x - 47. Let o be i(-25). Find v, given that -28*v**3 + 280*v + 54*v**o - 150*v**2 - 21*v**3 = 0.
0, 2, 28
Let g(x) be the second derivative of -1/3*x**5 + 0*x**2 + 4/9*x**3 + 1 + 1/9*x**4 + x + 4/45*x**6. Find v, given that g(v) = 0.
-1/2, 0, 1, 2
Let u(y) be the second derivative of -1/18*y**4 - 1/90*y**6 - 138*y + 0*y**3 - 1/252*y**7 + 0 + 0*y**2 + 7/120*y**5. Let u(r) = 0. Calculate r.
-4, 0, 1
Let o(z) = -2*z**4 - 14*z**3 + 14*z**2 + 2*z + 5. Let m = -111 + 116. Let j(p) = 3*p**4 + 15*p**3 - 15*p**2 - 3*p - 6. Let g(f) = m*j(f) + 6*o(f). Factor g(y).
3*y*(y - 1)**3
Let z be (1/(35/6))/(828/644). Let i(m) be the third derivative of 1/75*m**5 + 1/60*m**4 - z*m**3 - 8*m**2 - 1/300*m**6 + 0*m + 0. Factor i(c).
-2*(c - 2)*(c - 1)*(c + 1)/5
Let c(d) be the second derivative of -900*d**2 + 89*d - 1/6*d**4 + 0 - 20*d**3. Determine j so that c(j) = 0.
-30
Let y be (-70)/11*(42624/(-432) + 95). What is p in y*p**2 - 194/9*p + 32/9*p**4 + 464/9*p**3 + 28/9 = 0?
-14, -1, 1/4
Let s(d) = 6*d**4 - 48*d**3 - 76*d**2 - 264*d - 158. Let i(t) = -2*t**4 + 17*t**3 + 24*t**2 + 88*t + 53. Let l(p) = 14*i(p) + 5*s(p). Factor l(b).
2*(b - 6)*(b + 1)*(b + 2)**2
Factor -84*f - f**4 - 15*f**3 - 2901 - 2925 + 5786 - 58*f**2.
-(f + 1)*(f + 2)**2*(f + 10)
Let z(a) be the third derivative of -a**5/100 + 1553*a**4/20 - 2411809*a**3/10 + 3*a**2 - 653*a. Factor z(n).
-3*(n - 1553)**2/5
Determine w so that 0 - 6*w**2 + 2/13*w**4 + 0*w + 76/13*w**3 = 0.
-39, 0, 1
Let z be (-1)/18 - (-14 - (-15966)/(-162)). Solve -215/2*i - 85/2*i**3 - z*i**2 - 5/2*i**4 - 35 = 0.
-14, -1
Suppose -14*d = -15*d + 2, 4*p - 94 = -d. Let i(v) be the third derivative of 0 + 1/480*v**5 + 1/48*v**3 + 0*v - 1/96*v**4 - p*v**2. Factor i(o).
(o - 1)**2/8
Let v = -4933 + 4939. Let p(y) be the second derivative of 0 + 0*y**2 + 1/15*y**v - 17*y + 1/10*y**5 - 1/3*y**4 + 0*y**3. Factor p(m).
2*m**2*(m - 1)*(m + 2)
Let o = -11408 + 34228/3. Suppose -4/3*g + o - 1/3*g**2 + 1/3*g**3 = 0. What is g?
-2, 1, 2
Let g(w) be the first derivative of -w**4/4 - w**3/3 + 129. Let o(a) = a**4 - 6*a**3 - 11*a**2 + 4*a + 8. Let x(i) = 5*g(i) - o(i). Factor x(b).
-(b - 2)**2*(b + 1)*(b + 2)
Factor -6*b + 1/2*b**2 + 35/2.
(b - 7)*(b - 5)/2
Find c, given that -188*c + 37*c**3 + 15*c**3 - 220*c**2 + 0*c**4 + 24*c**4 - 268*c = 0.
-19/6, -2, 0, 3
Let t be (-3 - 2178/1107) + 5. Let f = t + 353/492. Determine j so that 3 - 3*j + f*j**2 = 0.
2
Let v(i) be the first derivative of -4*i**3/21 + 60*i**2/7 + 256*i/7 - 918. Factor v(c).
-4*(c - 32)*(c + 2)/7
Let h = -84085 + 84085. Suppose h - 32/9*g**2 - 2/9*g**4 + 0*g + 16/9*g**3 = 0. Calculate g.
0, 4
Let p(o) be the first derivative of 20 + o - 1/20*o**4 + 1/5*o**3 + 9/10*o**2. Factor p(y).
-(y - 5)*(y + 1)**2/5
Let i be (-50)/24*174/290 - -35. Factor -9/4*c**2 - 3/4*c**3 - 243/4 + i*c.
-3*(c - 3)**2*(c + 9)/4
Let u(w) be the third derivative of 5*w**8/1848 - 59*w**7/165 + 4117*w**6/330 + 406*w**5/11 + 294*w**4/11 - 1791*w**2. What is t in u(t) = 0?
-1, -2/5, 0, 42
Suppose 4*l = 6*c - 4*c + 1562, -c - 3*l - 801 = 0. Let p = -786 - c. Factor 1/3*i**p + 121/3 + 23/3*i**2 + 143/3*i.
(i + 1)*(i + 11)**2/3
Let v = -294105 + 294107. Factor -63/5*o**v + 1/5*o**3 + 1024/5 + 192*o.
(o - 32)**2*(o + 1)/5
Let k(z) be the first derivative of 12*z**3 + 24*z**2 - 53 + 30*z - 7*z**4 - 78*z + 32*z. Factor k(s).
-4*(s - 2)*(s + 1)*(7*s - 2)
Suppose -847*b = 388*b - 3464 - 241. Let 8/7*u**2 + 2/7*u - 8/7 - 2/7*u**b = 0. What is u?
-1, 1, 4
Let o = -248 - -251. Factor -16*n**3 - 2*n**5 - 3*n + 20*n**o + n.
-2*n*(n - 1)**2*(n + 1)**2
Factor -428687500/3 - 475*n**2 - 451250*n - 1/6*n**3.
-(n + 950)**3/6
Let l = -1318 + 914. Let x = 407 + l. Factor -4/5*b**4 + 8/5*b**2 + 0 - 4/5*b**x + 0*b.
-4*b**2*(b - 1)*(b + 2)/5
Let j(a) be the third derivative of a**7/280 - a**6/10 - a**5/40 + 3*a**4/2 + 233*a**3/6 + 100*a**2. Let c(s) be the first derivative of j(s). Factor c(u).
3*(u - 12)*(u - 1)*(u + 1)
Let p = 5272 - 21087/4. Let x(s) be the first derivative of -13 + p*s**4 + 1/3*s**3 - 2*s**2 - 4*s. Factor x(n).
(n - 2)*(n + 1)*(n + 2)
Let x(n) be the second derivative of -n**6/6 - 24*n**5 - 2505*n**4/2 - 28080*n**3 - 616005*n**2/2 + 2653*n. Factor x(r).
-5*(r + 9)**2*(r + 39)**2
Let j(z) be the first derivative of z**8/21 - 2*z**7/21 + z**6/30 + 19*z**2 + 121. Let b(y) be the second derivative of j(y). Solve b(i) = 0.
0, 1/4, 1
Let o = -2 - -8. Solve -7*t**4 + 11*t**4 + o*t**3 - 5*t**4 = 0 for t.
0, 6
What is j in 432/5 + 4/5*j**2 + 96/5*j = 0?
-18, -6
Solve 1/2*l**4 + 88209/2 - 9*l**2 - 7128*l + 24*l**3 = 0.
-33, 9
Let h(u) be the third derivative of -u**7/1680 - u**6/120 - 7*u**5/160 - 3*u**4/32 + u**2 - 7158. Factor h(b).
-b*(b + 2)*(b + 3)**2/8
Let s(b) be the second derivative of 0*b**2 - 4/9*b**3 + 1/30*b**5 - 2 - 24*b - 1/6*b**4. Factor s(q).
2*q*(q - 4)*(q + 1)/3
Let g(j) = 7*j**2 - 141*j + 512. Let b(n) = 57*n**2 - 1128*n + 4095. Let c(v) = -4*b(v) + 33*g(v). Factor c(m).
3*(m - 43)*(m - 4)
Let q(v) = -v - 1. Let j(d) = 3*d - 18. Let z(i) = -j(i) - 4*q(i). Let n be z(-19). Solve 2*x**3 + 4*x + 3*x**n - 3*x**3 + 2*x**3 + 8*x**2 = 0.
-1, 0
Let x(u) be the third derivative of u**7/1575 - u**6/100 - 11*u**5/225 + 1663*u**2. Factor x(f).
2*f**2*(f - 11)*(f + 2)/15
Let l(g) be the second derivative of -3*g**5/10 + 91*g**4/6 - 28*g**3/3 - 60*g**2 - 2*g + 1362. Factor l(k).
-2*(k - 30)*(k - 1)*(3*k + 2)
Suppose -3113280*r**2 - 712*r**4 - 83528*r**3 - 12429204 + 6679846 + 13478400*r - 2*r**5 - 8074642 = 0. Calculate r.
-120, 2
Factor 43*a - 5*a**2 - 24*a - 440 + 3*a**2 - 19*a + 98*a.
-2*(a - 44)*(a - 5)
Suppose 4*v + 10 = -6. Let j be 14/(-20)*v*(-66)/(-231). Solve j*p + 2*p**2 + 0 + 6/5*p**3 = 0.
-1, -2/3, 0
Let w(z) be the first derivative of -1/24*z**4 - 1/4*z**3 - 31 + 29*z + 5/2*z**2. Let t(h) be the first derivative of w(h). Find i such that t(i) = 0.
-5, 2
Let j(t) = 3*t**2 - 107*t - 153. Let x be j(37). Let l be 16/(-30)*((-92)/16 - x). What is b in 8/5*b - 2/5*b**3 + l*b**2 - 8/5 = 0?
-2, 1, 2
Determine m so that 540*m - 510*m**2 - 17*m**3 - 281*m**2 + 38*m**3 + 5*m**4 - 64*m**2 - 211*m**3 + 3780 = 0.
-3, 2, 42
Factor 70/9*v**2 - 8 + 2/3*v**3 + 64/3*v.
2*(v + 6)**2*(3*v - 1)/9
Let d(y) be the third derivative of y**6/120 + 27*y**5/20 - 169*y**4/24 - 83*y**3/2 - 4*y**2 + 127*y. Factor d(s).
(s - 3)*(s + 1)*(s + 83)
Let g(z) = -8*z**3 - 80*z**2 - 32*z - 320. Let p be g(-10). Factor 0 + 9/4*a**5 + p*a**2 + 3/4*a**4 + 0*a - 3/2*a**3.
3*a**3*(a + 1)*(3*a - 2)/4
Factor 2/7*z**2 - 1320/7 - 656/7*z.
2*(z - 330)*(z + 2)/7
Let m(f) be the second derivative of f**5/20 - 4*f**4 - 49*f**3/6 + 289*f - 2. Let m(q) = 0. Calculate q.
-1, 0, 49
Let z(t) be the first derivative of -13/12*t**4 - 46/3*t**2 - 4*t - 220 - 31/3*t**3. Determine f, given that z(f) = 0.
-6, -1, -2/13
Let s = 1123/28 + -244/7. Let y(t) be the third derivative of -1/10*t**6 -