-165)*-40. Let y(a) be the first derivative of 8/19*a - 4/19*a**s + 9 + 2/57*a**3. Suppose y(b) = 0. What is b?
2
Let v be (-29)/(-174) + 5/42. Let n be 130/21 + 2/3. Solve v*a - 4/7*a**2 + 0 - n*a**3 = 0 for a.
-1/4, 0, 1/6
Factor -32*r**3 - 25*r**3 + 10*r**2 - 33*r**3 - 9*r + 89*r**3.
-r*(r - 9)*(r - 1)
Let v(t) = -9*t**3 - 33*t**2 + 198*t + 84. Let o(b) = 9*b**3 + 31*b**2 - 200*b - 82. Let a(k) = 6*o(k) + 5*v(k). Determine m, given that a(m) = 0.
-6, -1/3, 4
Factor -45 + 21*p**2 + 3/2*p**3 - 51/2*p.
3*(p - 2)*(p + 1)*(p + 15)/2
Let v = -136 + 147. Suppose 4*b = -n + 14, 10*b - v*b + n + 6 = 0. Solve 2/19*a**b + 0*a + 2/19*a**2 + 0 - 4/19*a**3 = 0.
0, 1
Let w(j) be the first derivative of -529*j**4/3 - 184*j**3/3 - 8*j**2 + 22*j - 22. Let h(r) be the first derivative of w(r). Solve h(l) = 0.
-2/23
Let m(s) be the second derivative of 5*s**7/42 + 4*s**6/3 - 13*s**5/2 - 215*s**4/3 + 1925*s**3/6 - 490*s**2 + 15*s - 31. Solve m(t) = 0 for t.
-7, 1, 4
Let u(h) be the second derivative of -1 - 7/15*h**4 + 0*h**2 - 13*h - 1/25*h**5 - 4/3*h**3. Factor u(w).
-4*w*(w + 2)*(w + 5)/5
Let r(t) be the second derivative of -1/2*t**4 + 24*t - 3*t**3 + 2 + 10*t**2 + 1/5*t**5. Factor r(a).
2*(a - 1)*(a + 2)*(2*a - 5)
Let g = 17 + -21. Let t be (-3)/((-1 - -5)/g). Suppose -3*h**t + h**3 - 4 - 4*h + 6*h + 4*h**2 = 0. What is h?
-1, 1, 2
Suppose 0 = 5*o - 3*c - c - 292, -5*c = o - 41. Find s, given that o + 69 + 5*s**2 - 552*s + 502*s = 0.
5
Let x(l) be the third derivative of -5*l**8/2688 - 13*l**7/840 - 3*l**6/64 - 7*l**5/120 - l**4/48 - 10*l**2 + 9. Let x(s) = 0. What is s?
-2, -1, -1/5, 0
Let z = -17792 - -17794. Factor -7/6*h**z + 8/3 + 4/3*h + 1/6*h**3.
(h - 4)**2*(h + 1)/6
Let c = 328 + -326. Let z(o) be the first derivative of 14 + 12*o**c + 4/3*o**3 + 36*o. Determine a, given that z(a) = 0.
-3
Let h be (-33)/(0 + 0 - (-1431)/(-318)). Solve -40/3 + 16/3*v**2 + 2/3*v**3 + h*v = 0 for v.
-5, -4, 1
Let l(c) be the third derivative of -17*c**6/48 + 41*c**5/60 + 173*c**4/48 + c**3/2 + 7*c**2 - 152. Factor l(o).
-(o - 2)*(o + 1)*(85*o + 3)/2
Suppose -6*d + 14*d = 32. Solve -3*w + 26*w**2 - 5*w + 9*w**3 - 40*w**5 + 39*w**3 - 4*w**d - 22*w**2 = 0.
-1, -1/2, 0, 2/5, 1
Let j(n) be the first derivative of n**7/1680 - n**6/240 + n**5/96 - n**4/96 - 36*n**2 + 268. Let c(h) be the second derivative of j(h). Factor c(g).
g*(g - 2)*(g - 1)**2/8
Let t(v) be the second derivative of v**4/90 - 7*v**3/45 - 34*v**2/3 - 17*v + 8. Factor t(c).
2*(c - 17)*(c + 10)/15
Let r(o) be the first derivative of -7/6*o**4 - 49/3*o**3 + 6*o**2 + 0*o - 19 - 1/30*o**5. Let t(q) be the second derivative of r(q). Solve t(m) = 0.
-7
Let g(o) be the third derivative of o**6/840 - 9*o**5/140 + 37*o**4/84 - 8*o**3/7 - 99*o**2 - 13. Factor g(a).
(a - 24)*(a - 2)*(a - 1)/7
Let d(z) be the third derivative of z**5/120 - 755*z**4/8 + 1710075*z**3/4 - 1292*z**2. Factor d(p).
(p - 2265)**2/2
Let d be 2 + 0 + (65 - 62). Let l(y) be the first derivative of -5/4*y**4 + 0*y**2 + 0*y - 15 + y**d + 0*y**3. What is j in l(j) = 0?
0, 1
Let m(k) be the first derivative of -34*k + 1/9*k**4 - 8/9*k**3 + 29 + 8/3*k**2. Let n(v) be the first derivative of m(v). Factor n(x).
4*(x - 2)**2/3
Let r be 0 + 3 + 0/(6/6). Determine v, given that 30*v**3 - 80*v**2 - 5*v**2 + 0*v**r + 10*v - 40*v**5 + 85*v**4 = 0.
-1, 0, 1/8, 1, 2
Factor -d**2 - 604 - 602 - 228 + 160*d - 477.
-(d - 147)*(d - 13)
Let v(y) = 5*y**4 + 330*y**3 + 1854*y**2 + 3634*y + 2406. Let c(f) = f**2 + f - 1. Let g(q) = 6*c(q) + v(q). Factor g(w).
5*(w + 2)**3*(w + 60)
Let 256 + 145*n**3 + 1105*n**3 - 409*n + 7*n**5 + 261*n**4 + 2156*n**2 + 1825*n = 0. Calculate n.
-32, -2, -1, -2/7
Let m = 66695/35576 + 5/17788. Factor -m + 3/4*z**2 - 13/8*z.
(z - 3)*(6*z + 5)/8
Let q(k) be the second derivative of -k**5/40 + 53*k**4/24 + 769*k**3/12 + 715*k**2/4 + 1079*k - 1. What is a in q(a) = 0?
-11, -1, 65
Suppose -i - 1 = d - 0*d, i + 11 = -3*d. Suppose -3*t - 2 = -i*t. Factor 5*b + 0*b - 12*b**t + 12*b**4 + b**3 - 2*b - 4*b**3.
3*b*(b - 1)*(b + 1)*(4*b - 1)
Let d be 11232/63*(-14)/(-10). Let a = 250 - d. Factor 0 + a*h**2 + 2/5*h - 2/5*h**4 - 2/5*h**3.
-2*h*(h - 1)*(h + 1)**2/5
Factor 94*s - 6*s**3 - 10*s**2 + 1971 + 1932 - 3933.
-2*(s - 3)*(s + 5)*(3*s - 1)
Let u = -1031 + 1258. Suppose -133 + u = 47*k. Let 82/13*i**3 + 112/13*i**5 - 4/13 + 44/13*i**k - 220/13*i**4 - 14/13*i = 0. What is i?
-2/7, -1/4, 1/2, 1
Factor -837*o**2 + 43/4*o**4 - 1/4*o**5 - 203/2*o**3 + 9234*o + 40824.
-(o - 18)**3*(o + 4)*(o + 7)/4
Find f, given that 28*f**4 - 422/5*f**2 - 1/5*f**5 + 56*f + 3/5*f**3 + 0 = 0.
-2, 0, 1, 140
Let p(n) = 65*n - 174. Let r(b) = 270*b - 694. Let m(o) = 9*p(o) - 2*r(o). Let v be m(4). Solve 8/9 + 2/9*k - 8/9*k**v - 2/9*k**3 = 0 for k.
-4, -1, 1
Find k such that -144 + 266*k - 50*k - 2*k**4 + 26*k**3 + 453*k**2 - 569*k**2 = 0.
2, 3, 6
Suppose 610*h = -1411*h + 1080 + 2962. Factor -36*o - 32/3 + 14/3*o**h.
2*(o - 8)*(7*o + 2)/3
What is t in 72/13 + 10130/13*t**2 + 10624/13*t**3 + 1626/13*t + 2048/13*t**4 = 0?
-4, -1, -3/32
Let n(d) be the second derivative of 23*d**4 + 26*d**3 + 16*d**2 + 203/20*d**5 - 3/14*d**7 - 145*d + 7/5*d**6 + 0. Solve n(a) = 0.
-1, -2/3, 8
Let z be 2/(6336/127920) + 1/(-22). Solve 55*b**3 + 4/3*b - z*b**4 - 16*b**2 + 0 = 0.
0, 2/11, 1
Let b(l) be the third derivative of 227*l**2 + 3/50*l**5 + 11/60*l**4 + 1/300*l**6 - 1/525*l**7 + 0*l + 0 + 4/15*l**3. Factor b(n).
-2*(n - 4)*(n + 1)**3/5
Let v be 24921/(-1989) - (3 - 16). Factor 14/17*d**3 - v*d + 0 - 24/17*d**2.
2*d*(d - 2)*(7*d + 2)/17
Let p(z) be the third derivative of -z**6/180 + 11*z**5/18 + 29*z**4/18 - 112*z**3/9 - 947*z**2. Factor p(l).
-2*(l - 56)*(l - 1)*(l + 2)/3
Let l(h) be the third derivative of -h**8/1512 - h**7/315 + 17*h**6/270 + 7*h**5/27 - 25*h**4/12 + 125*h**3/27 - 7*h**2 + 69*h. Let l(a) = 0. Calculate a.
-5, 1, 5
Let z(j) be the third derivative of -j**8/224 + 37*j**7/70 - 351*j**6/80 + 41*j**5/4 + 71*j**4/4 - 138*j**3 - 1006*j**2. Suppose z(m) = 0. Calculate m.
-1, 2, 69
Let v(t) be the third derivative of 44*t**7/315 + 133*t**6/60 + 27*t**5/2 + 141*t**4/4 + 9*t**3 + 520*t**2. Factor v(d).
2*(d + 3)**3*(44*d + 3)/3
Let l(t) be the second derivative of t**5/4 - 95*t**4/3 + 1805*t**3/6 - 1065*t**2 + 22*t + 15. Factor l(z).
5*(z - 71)*(z - 3)*(z - 2)
Suppose 3*h - 2*m - 18 = 0, 20 = 18*h - 23*h - 5*m. Let a(p) be the first derivative of 7/2*p**4 + 2*p**h - 14 + 0*p + 6*p**3. Factor a(y).
2*y*(y + 1)*(7*y + 2)
Suppose 0 = -4*u + 3*n + 3, -4*u - 12 + 13 = -n. Let s be 6/297*11*9. Factor 7/2*b**4 + 13*b**3 + u - 4*b + 10*b**s.
b*(b + 2)**2*(7*b - 2)/2
Suppose -3896 + 1434 = -5*i + 4*r, -2*i = -2*r - 986. Find z, given that -105*z**2 + i*z - 75*z**4 + 22*z**5 - 305*z**3 + 7*z**5 - 34*z**5 = 0.
-7, -2, 0, 1
Let f(j) = 2*j**2 + 13*j - 19. Let c be f(-8). Let x(b) = 10*b**2 - 15*b - 5. Let r(m) = 7*m**2 - 14*m - 6. Let t(k) = c*r(k) - 6*x(k). Factor t(n).
-5*n*(5*n - 4)
Let x(k) be the second derivative of k**4/21 - 1058*k**3/21 - 1060*k**2/7 - 4280*k. What is q in x(q) = 0?
-1, 530
Suppose -103 = 3*s + 7*f - 49, 33 = 5*s - 2*f. Factor 867*m + 51/2*m**2 + 1/4*m**s + 9826.
(m + 34)**3/4
Let v(a) = -13*a + 452. Let b be v(34). Let h be (4/b - 0) + (-152)/(-95). Let 15/8*y - 9/4 - 3/8*y**h = 0. What is y?
2, 3
Let r be (-7)/(-6) + (1 + -5)*104/624. Factor -r*i**2 + 1/2*i**4 - 3/2*i**3 + 3/2*i + 0.
i*(i - 3)*(i - 1)*(i + 1)/2
Let b = 2 - 0. Let p(l) = 12*l - 4. Let n be p(1). What is u in 12*u**b + n*u + 419 + 4*u**3 - 419 = 0?
-2, -1, 0
Factor 6498 + 2*t**3 - 380*t - 6498 + 378*t**2.
2*t*(t - 1)*(t + 190)
Let f(y) = 2*y**3 + 14*y**2 + 22*y + 18. Let t(s) = -s**2 - 2*s - 1. Suppose -12*x - 1 - 335 = 0. Let g(w) = x*t(w) - 2*f(w). Find k such that g(k) = 0.
-2, 1
Suppose 2*r + 4*i = 0, 2*i = -3*r - 0*i. Let p be 9/6 - (2 + -1 + r). Suppose -2*z**3 + 1/2*z**4 + 3*z**2 + p - 2*z = 0. Calculate z.
1
Let x(f) be the second derivative of f**5/120 - 61*f**4/72 + 70*f**3/9 + 40*f - 8. Factor x(c).
c*(c - 56)*(c - 5)/6
Let z(q) be the first derivative of -2*q**5/5 - 23*q**4/2 - 60*q**3 + 864*q**2 + 8640*q - 8760. Find d, given that z(d) = 0.
-12, -5, 6
Let m(c) be the first derivative of 7*c**5/10 + 29*c**4/8 + 19*c**3/3 + 4*c**2 + 5603. Factor m(w).
w*(w + 1)*(w + 2)*(7*w + 8)/2
Let 