+ 8192*d. Factor t(v).
4*v*(v - 62)*(v - 3)**2/7
Suppose -4*v = 5*v - 2304. Let n = v - 253. Let -28/5*a - 4*a**n + 4/5*a**4 + 36/5*a**2 + 8/5 = 0. What is a?
1, 2
Let t(c) be the first derivative of 0*c + 136 - 3/7*c**4 - 1/7*c**2 - 2/3*c**3. Factor t(p).
-2*p*(p + 1)*(6*p + 1)/7
Let m(u) be the first derivative of 12*u**2 + 1/2*u**3 + 57 + 96*u. Factor m(a).
3*(a + 8)**2/2
Let v(f) be the second derivative of -f**5/4 - 145*f**4/3 + 400*f**3 + 874*f. Suppose v(o) = 0. What is o?
-120, 0, 4
Let v(c) be the second derivative of -2*c + 40 + 14/9*c**3 + 0*c**2 - 2/3*c**4 - 1/15*c**5. Find y, given that v(y) = 0.
-7, 0, 1
Let t(s) = 34*s - 37*s + 412 - 71*s - 29*s. Let q be t(4). What is x in q*x - 3/4*x**5 + 0*x**2 - 3/2*x**4 - 3/4*x**3 + 0 = 0?
-1, 0
Let d = -32456 - -324563/10. Let u(a) be the first derivative of -a**3 - d*a**5 - 14 - a**4 + 0*a**2 + 1/2*a. Factor u(q).
-(q + 1)**3*(3*q - 1)/2
Let m = 1553 - 1545. Let b(z) be the second derivative of 7/4*z**4 - m*z**3 + 18*z + 0 + 6*z**2. Determine n, given that b(n) = 0.
2/7, 2
Let j(y) be the third derivative of -5*y**8/2016 + y**7/18 - 47*y**6/144 + 5*y**5/36 + 5*y**4/2 - 2*y**2 + 4*y + 76. Suppose j(d) = 0. Calculate d.
-1, 0, 2, 4, 9
Factor -14/3*s**2 - 4/9 + 46/9*s.
-2*(s - 1)*(21*s - 2)/9
Let b = 102319/36 + -11367/4. Factor -40/9*k**2 + 0 - 100/9*k - b*k**3.
-4*k*(k + 5)**2/9
Let u(b) be the third derivative of -5*b**2 + 0*b**3 - 1/3*b**4 + 2 + 1/60*b**6 + 0*b - 1/10*b**5. Factor u(m).
2*m*(m - 4)*(m + 1)
Let o be 163/(-489)*(2 - -46)/(-4). Let 32*i + 1/5*i**o - 13/5*i**3 + 18/5*i**2 + 128/5 = 0. Calculate i.
-2, -1, 8
Let r(c) be the third derivative of -c**7/630 - 7*c**6/120 - 49*c**5/90 - 5*c**4/3 + 83*c**2 - 12*c. Factor r(u).
-u*(u + 2)*(u + 4)*(u + 15)/3
Let c(s) be the second derivative of 8 + 5/2*s**3 + 2*s - 5/12*s**4 + 10*s**2. Factor c(y).
-5*(y - 4)*(y + 1)
Let x(r) be the first derivative of -r**3/4 - 861*r**2/4 - 247107*r/4 - 1479. Factor x(u).
-3*(u + 287)**2/4
Let 25/3*b + 1/3*b**2 + 0 = 0. What is b?
-25, 0
Let h(a) be the second derivative of -a**5/45 + 256*a**4/9 - 131072*a**3/9 + 33554432*a**2/9 + 813*a + 1. Factor h(z).
-4*(z - 256)**3/9
Let y(v) be the second derivative of 0*v**2 - 5/18*v**4 + 0 - 1/12*v**5 + 15*v + 5/6*v**3. Factor y(u).
-5*u*(u - 1)*(u + 3)/3
Suppose 120/7*c**2 + 416/7 - 6/7*c**4 + 310/7*c**3 - 120*c = 0. What is c?
-2, 2/3, 1, 52
Factor 8576/7*l + 9193472/7 + 2/7*l**2.
2*(l + 2144)**2/7
Let y(f) be the third derivative of -f**8/1008 - 19*f**7/30 - 13333*f**6/120 - 39601*f**5/180 - 8*f**2 + 10*f. Factor y(h).
-h**2*(h + 1)*(h + 199)**2/3
Let o be ((-2)/3)/(11/(-66)). Suppose -4*g + 9 = -c + 35, -3*c = -o*g - 110. Factor 2*i**4 - 6*i**4 + 8*i - 12*i**3 - c*i**2 + 4*i**5 + 46*i**2.
4*i*(i - 2)*(i - 1)*(i + 1)**2
Let m(c) be the second derivative of c**7/210 + c**6/20 + 2*c**5/15 + 81*c**2 + 78*c. Let o(w) be the first derivative of m(w). Factor o(p).
p**2*(p + 2)*(p + 4)
Let g(r) be the first derivative of 2*r**3/27 + 6034*r**2/9 + 18204578*r/9 + 6574. Factor g(m).
2*(m + 3017)**2/9
Let p(o) = -6*o**3 - 27*o + 4*o**3 + 8*o**2 + 4*o**3 + o**3 - o**3. Let h(d) = -4*d**3 - 18*d**2 + 55*d. Let f(s) = -3*h(s) - 7*p(s). Factor f(l).
-2*l*(l - 3)*(l + 4)
Let r(u) be the third derivative of u**6/540 - 89*u**5/135 + 175*u**4/108 + 118*u**3/9 + 4*u**2 + 55*u. Solve r(d) = 0.
-1, 2, 177
Let c(g) be the first derivative of -5*g**3/3 - 30*g**2 - 55*g + 83. Find t, given that c(t) = 0.
-11, -1
Let b = -117903 + 117906. Determine w, given that -7/4*w + 3/4 - 5/4*w**4 + 1/4*w**5 + 3/2*w**b + 1/2*w**2 = 0.
-1, 1, 3
Let r = -1050/6707 - -63881904/114019. Factor -2/17*x**2 - r + 276/17*x.
-2*(x - 69)**2/17
Suppose 5220*a - 4677*a = 1336 - 250. Factor -4/21*n - 2/21*n**a + 2/7.
-2*(n - 1)*(n + 3)/21
Suppose 2*s + 371 = -5*l, l + 2*s = 5*s - 81. Let f be (l/(-50))/(2*(-10)/(-8)). Factor -12/5*o + f*o**3 + 12/5 - 3/5*o**2.
3*(o - 2)*(o - 1)*(o + 2)/5
Let d(y) be the third derivative of -y**6/480 + 69*y**5/80 - 67*y**4/4 + 398*y**3/3 + 7194*y**2. Factor d(l).
-(l - 199)*(l - 4)**2/4
Let f(p) be the second derivative of -p - 6/5*p**2 - 2/5*p**4 - 5/3*p**3 - 16 + 7/50*p**5. Factor f(w).
2*(w - 3)*(w + 1)*(7*w + 2)/5
What is v in -73*v + 1/2*v**4 - 72*v**2 - 49/2 - 23*v**3 = 0?
-1, 49
Let r(h) be the first derivative of h**7/315 - h**6/180 - h**5/30 + h**4/36 + 2*h**3/9 - 42*h**2 + 14. Let o(s) be the second derivative of r(s). Factor o(j).
2*(j - 2)*(j - 1)*(j + 1)**2/3
Let p be 4/54 - ((-13905)/(-729) + -24). Factor -99/7*q - 27/7*q**4 - 3/7*q**p - 138/7*q**2 - 27/7 - 90/7*q**3.
-3*(q + 1)**3*(q + 3)**2/7
Let x be (-1314)/(-7665)*4/72*10. Find d such that 0 - 2/21*d**3 + 4/21*d - x*d**2 = 0.
-2, 0, 1
Suppose 5*j + 3 = 6*j. Suppose 0 = 2*x - q - 15, 0*x = j*x - 2*q - 25. Factor -4*g**4 - 14*g + 7*g**3 - 11*g**3 + 16*g**2 + 0 + 4 + 2*g**x.
2*(g - 1)**4*(g + 2)
Let q(p) be the third derivative of p**9/302400 + p**8/50400 + p**7/25200 - 11*p**5/30 + p**2 - 14*p. Let i(b) be the third derivative of q(b). Factor i(s).
s*(s + 1)**2/5
Let j(y) = -y**2 - 1072*y - 54972. Let c be j(-54). Factor -2*r**2 + c - 1/2*r**3 + 0*r.
-r**2*(r + 4)/2
Let m(k) be the first derivative of -k**4 - 176*k**3/3 + 2*k**2 + 176*k + 335. Factor m(a).
-4*(a - 1)*(a + 1)*(a + 44)
Let l be (-17)/(-221) - (-102)/26. Let s(o) be the second derivative of 0 - 9/10*o**3 - 11/20*o**l + 4*o + 3/5*o**2. What is i in s(i) = 0?
-1, 2/11
Let l be (-126)/924*(-564)/9 + -2 + -6. Solve 0 + 6/11*j + l*j**2 = 0 for j.
-1, 0
Let s(d) be the first derivative of d + 121. Let u(a) = -5*a**4 - 23*a**3 + 80*a**2 - 28*a + 1. Let y(h) = s(h) - u(h). Let y(x) = 0. Calculate x.
-7, 0, 2/5, 2
Let z be (0 - -7) + -10 + (-1332)/(-248). Let i = z - 58/31. Factor i*f**4 + 2*f**3 + f + 5/2*f**2 + 0.
f*(f + 1)**2*(f + 2)/2
Let z(h) = 2*h + 4. Let q be z(-3). Let n(v) = -2*v - 1. Let f be n(q). Factor 39*x**2 - 3 - 13 + 28*x**f + 37*x**2 + 32*x.
4*(x + 1)*(x + 2)*(7*x - 2)
Let y(r) be the first derivative of 1/8*r**5 - 21 - 5/24*r**3 + 1/48*r**6 + 0*r**2 - 1/32*r**4 + 0*r. Factor y(a).
a**2*(a - 1)*(a + 1)*(a + 5)/8
Determine m, given that -10*m - 3*m**4 - 477*m**3 - m**5 + 488*m**3 + 2*m**4 + 8 - 7*m**2 = 0.
-4, -1, 1, 2
Let o(z) = -7*z**2 - 34*z - 36. Let r be o(-3). Let t(a) be the third derivative of 1/300*a**5 - 1/600*a**6 + 0*a + 0*a**r + 25*a**2 + 0*a**4 + 0. Factor t(v).
-v**2*(v - 1)/5
Suppose 4*a - 12 = 4. Let q be -3 + 28/a - 2. Factor -6*i**2 + 3*i**3 - 68 + 45*i - 15*i**q + 41.
3*(i - 3)**2*(i - 1)
Let a(q) be the first derivative of -1/9*q**3 + 0*q - 1/2*q**4 + 0*q**2 - 76 - 1/3*q**5. Solve a(i) = 0.
-1, -1/5, 0
Factor 328*x + 576 - 331*x - 4*x**2 + 0*x**2 + 183*x.
-4*(x - 48)*(x + 3)
Let m be (-4 + (-56)/1)*26/(-52). Let u be 4/18 + 223/9. Factor 15*v - u + 9 + 15 - 25*v**2 + 11 - m*v**3.
-5*(v + 1)*(2*v + 1)*(3*v - 2)
Factor -3/4*b**2 - 159*b + 639/4.
-3*(b - 1)*(b + 213)/4
Let a be (5/10)/((-10)/(-1440)*90). Determine u, given that -9/5*u + 12/5*u**2 - a*u**3 + 2/5 = 0.
1/2, 2
Factor -74/15*i**2 + 68/15*i + 48/5 + 2/15*i**3.
2*(i - 36)*(i - 2)*(i + 1)/15
Let m be 5*((-2)/(-10))/(3/3). Let b(l) = -13*l**3 + 71*l**2 + 69*l + 5. Let q(i) = -2*i**3 + i**2 + 1. Let p(o) = m*b(o) - 5*q(o). Factor p(g).
-3*g*(g - 23)*(g + 1)
Let t(k) be the first derivative of -2*k**6/3 + 48*k**5/5 - 36*k**4 + 128*k**3/3 - 54. Solve t(r) = 0.
0, 2, 8
Let g = -200347 - -200347. Let g*d + 4/17*d**2 + 2/17*d**4 - 6/17*d**3 + 0 = 0. Calculate d.
0, 1, 2
Let d be (-1 - (-2)/3)/((-5)/150). Suppose 10*g + d*g**5 - 43*g**4 + 12*g**2 - 37*g**4 + 65*g**4 + 3*g**2 - 20*g**3 = 0. Calculate g.
-1, -1/2, 0, 1, 2
Let v(k) be the first derivative of 17 - 3/7*k**2 - 4/21*k**3 - 1/42*k**4 + 20*k. Let m(z) be the first derivative of v(z). Factor m(q).
-2*(q + 1)*(q + 3)/7
Let c(r) be the third derivative of -r**8/672 + 3*r**7/140 - 29*r**6/240 + 13*r**5/40 - 3*r**4/8 + 3*r**2 - 188. Suppose c(p) = 0. What is p?
0, 1, 2, 3
Let w be 42/12*(3 - 234/84). Let j(p) be the first derivative of -3/2*p**2 + 22 + 0*p + w*p**4 + 4*p**3 - 12/5*p**5. What is v in j(v) = 0?
-1, 0, 1/4, 1
Let l(y) be the third derivative of 23*y**2 - 4*y**3 + 1/900*y**6 + 0*y + 0 - 1/300*y**5 - 1/30*y**4. Let h(k) be the first derivative of l(k). Factor h(a).
2*(a - 2)*(a + 1)/5
Let q(k) be 