ative of -o**7/112 + o**6/16 + 21*o**5/160 - 5*o**4/32 - 3*o**3/8 - 2*o - 114. Find m, given that b(m) = 0.
-1, 0, 1, 6
Let j(g) be the first derivative of -7 - 5/2*g**4 + 0*g**2 + 0*g + 8/5*g**5 + 4/3*g**3 - 1/3*g**6. What is k in j(k) = 0?
0, 1, 2
Let q be (-6)/(-12)*((-3)/(-3) + 73). Suppose -14*w + q = 9. Determine h, given that 10/3*h**w + 10/3*h**3 + 5/3*h**4 + 1/3*h**5 + 1/3 + 5/3*h = 0.
-1
Let d(c) be the second derivative of c**6/105 + 23*c**5/70 + 143*c**4/42 + 121*c**3/21 - 128*c. Suppose d(q) = 0. What is q?
-11, -1, 0
Let l(u) be the second derivative of 7*u + 10*u**2 - 4/3*u**3 + 1/15*u**4 + 0. Let l(g) = 0. What is g?
5
Let p(a) be the third derivative of a**6/2160 - a**5/180 + a**4/36 - 13*a**3/6 + 6*a**2. Let t(n) be the first derivative of p(n). Factor t(o).
(o - 2)**2/6
Let h(v) = 4*v**3 - 9*v**2 + 5*v + 3. Let l(s) = s**3 - s**2 - s + 1. Let j(g) = -2*h(g) + 6*l(g). Find r such that j(r) = 0.
0, 2, 4
Let g = -1102 - -1106. Factor 1/2*b - 1/2*b**g + 0 + 1/2*b**2 - 1/2*b**3.
-b*(b - 1)*(b + 1)**2/2
Let u(j) be the third derivative of j**5/135 + 5*j**4/18 + 52*j**3/27 + 619*j**2. Let u(x) = 0. Calculate x.
-13, -2
Let d(y) = -y**2 - 14*y - 9. Let k be d(-8). Let w be 9/(-6) - 70/(-4). Factor -w*s + 2 + 2*s**2 - k*s**3 + 45*s**3 + 6.
2*(s - 1)*(s + 2)*(3*s - 2)
Let j(z) be the second derivative of -z**7/105 - 4*z**6/25 - 21*z**5/50 - z**4/3 - 14*z. Find y such that j(y) = 0.
-10, -1, 0
Let v(m) be the second derivative of -m**7/42 - 4*m**6/15 + m**5 + 343*m. Factor v(k).
-k**3*(k - 2)*(k + 10)
Find f, given that 6/11*f - 2/11*f**2 - 4/11 = 0.
1, 2
Let w = 1009/22071 + 2/1051. Let k(o) be the second derivative of 0 - 1/15*o**6 + 1/6*o**4 - 3*o - 1/10*o**5 + 0*o**2 + w*o**7 + 0*o**3. Factor k(g).
2*g**2*(g - 1)**2*(g + 1)
Let z(l) be the third derivative of -1/15*l**5 + 0*l + 0*l**3 + 1/60*l**6 + 0*l**4 + 17*l**2 + 0. Factor z(p).
2*p**2*(p - 2)
Let u = 297 + -293. Solve 1/3*a**u - 5/3*a**2 - 2/3*a + 0 + 1/3*a**5 - a**3 = 0 for a.
-1, 0, 2
Let f(h) be the third derivative of -h**5/12 + 25*h**4/3 + 98*h**2 + 1. Suppose f(a) = 0. What is a?
0, 40
Factor 2 - 5/3*q + 1/3*q**2.
(q - 3)*(q - 2)/3
Determine u, given that 0 + 0*u - 2/7*u**3 + 16/7*u**2 = 0.
0, 8
What is f in -1/4*f**4 - 27/4*f**2 + 0 + 13/4*f + 15/4*f**3 = 0?
0, 1, 13
Suppose -6 = 5*f - 21. Determine w so that -215*w**f - 16 + 17*w**3 - 54*w**4 - 104*w - 90*w**2 - 138*w**2 + 0 = 0.
-2, -2/3, -1/3
Let f(h) = -h + 3. Let l(s) = -s**2 - s + 3. Let n be l(-2). Let v be f(n). Find j such that -98/5*j**v - 8/5 - 56/5*j = 0.
-2/7
Let s = 13/10 - 77/90. Let q = -6 + 8. Factor -2/9*h**5 + 0 - 2/9*h + 0*h**4 + 0*h**q + s*h**3.
-2*h*(h - 1)**2*(h + 1)**2/9
Let y(o) be the first derivative of o**6/9 + 16*o**5/15 + 5*o**4/2 - 16*o**3/9 - 16*o**2/3 + 238. Suppose y(h) = 0. What is h?
-4, -1, 0, 1
Let f(p) = p**3 - 3*p - 2. Let k(l) = 5*l**3 + 124*l**2 + 233*l + 114. Let w(i) = 7*f(i) - k(i). Factor w(r).
2*(r - 64)*(r + 1)**2
Let z(t) be the second derivative of t**4/3 - 34*t**3/3 + 32*t**2 + 207*t. Factor z(n).
4*(n - 16)*(n - 1)
Suppose -2*f = f - 9, 0 = 3*h - 5*f - 9. Suppose -8*d**3 - 8*d**3 - 8 + h*d + 20*d**3 + 14*d**2 = 0. What is d?
-2, 1/2
Let p(v) be the third derivative of v**7/140 - v**6/120 - v**5/40 + v**4/24 + 154*v**2. Factor p(c).
c*(c - 1)*(c + 1)*(3*c - 2)/2
Let g be (-21)/147*-14*(-7)/(-28). Solve g*a - 1/4*a**2 - 1/4 = 0.
1
Let j(o) be the first derivative of o**7/315 - o**6/90 - o**5/90 + o**4/18 + 14*o**2 + 6. Let l(n) be the second derivative of j(n). Let l(h) = 0. What is h?
-1, 0, 1, 2
Let i(w) = -w**3 - 3*w**2 - 2*w - 6. Let m be 9/(-6)*(2 + -4)*-1. Let y be i(m). Solve 2/3*q**2 + y + 4/9*q - 2/9*q**5 - 2/3*q**4 - 2/9*q**3 = 0 for q.
-2, -1, 0, 1
Let f = -76 + 98. Factor -10 + 22 + p - f*p - 6*p**2.
-3*(p + 4)*(2*p - 1)
Let b = -27 + 36. Suppose -b*w + 14 = 5*w. Determine v, given that 3*v + 1/4*v**4 + 3/2*v**3 + w + 13/4*v**2 = 0.
-2, -1
Determine g, given that 51*g - 690 + 1213 - 613 - 3*g**2 = 0.
2, 15
Let w = -132 - -140. Find y such that -2*y**2 + 0*y - 2*y + 5*y - 9*y + w = 0.
-4, 1
Factor -1/4*r**2 - 113/4*r + 115/2.
-(r - 2)*(r + 115)/4
Suppose -y + 3*o + 6 = 0, -5*y + 2*o + 14 = -3. Suppose 3*g - 4*t + 6 = -0, 1 = 5*g - 3*t. Find c such that y*c**3 - 4*c**2 + c - g*c + 1 - 2*c**3 + 3*c**2 = 0.
-1, 1
Let m(c) = 2 - 8 - 2*c - 1. Let r be m(-5). Suppose -d - d**2 + r + 2 - 3 = 0. Calculate d.
-2, 1
Suppose -d - 4*x + 3 + 8 = 0, -2*d + 16 = 5*x. Let 0*s**3 + 53 + 0*s**d - 37 + 12*s**2 - 24*s - 2*s**3 = 0. Calculate s.
2
Suppose 2*z - 3*c = 37, -z = -5*z - 4*c + 44. Let s be (-9)/27 + -1*z/(-6). Factor -5/4*b + 0 - 10*b**s - 20*b**3.
-5*b*(4*b + 1)**2/4
Let w be (-58)/12 - (8/(-2))/(184/230). Find u such that w*u + 5/6*u**2 + 1/3*u**3 - 1/3 = 0.
-2, -1, 1/2
Suppose 0 = 5*a - 20 + 65. Let y be 1 + ((-70)/a)/(-10). Suppose 4/9*v + y*v**2 + 0 = 0. What is v?
-2, 0
Let u(k) be the second derivative of 16/3*k**3 - 3/5*k**5 + 0 - 23*k - 8*k**2 - 1/3*k**4. Let u(j) = 0. Calculate j.
-2, 2/3, 1
Suppose 3*k = 10*k - 14. Factor -24*w**2 + 2*w**k + 50*w**3 - 23*w**2 + 3*w + 7*w - 15*w**4.
-5*w*(w - 2)*(w - 1)*(3*w - 1)
Let x(b) be the first derivative of 2*b**5/55 - 9*b**4/22 + 16*b**3/33 - 163. Let x(v) = 0. What is v?
0, 1, 8
Let i(u) = -u**2 - 7*u + 17. Suppose 2*c = -5*o - 19 - 31, 4*o + 37 = -c. Let f be i(o). Factor -b**4 - 9*b**2 + 2*b**4 - 2*b + 8*b**5 - 5*b**5 - f*b**3.
b*(b - 2)*(b + 1)**2*(3*b + 1)
Factor -42*x**2 + 5*x**3 + 587*x - 2744 + 5*x**3 + x - 9*x**3.
(x - 14)**3
Factor 51/4*v - 9/2 + 7/4*v**3 + 10*v**2.
(v + 3)**2*(7*v - 2)/4
Let g(o) = o**2 - 21*o + 43. Let h be g(19). Determine a so that 3*a**5 - 8*a**3 - 6*a**3 - 33*a**2 + h*a**3 + 39*a**2 = 0.
-2, 0, 1
Let v(r) = -256*r + 9216. Let p be v(36). Factor p*d + 1/2*d**3 + 0 - d**2.
d**2*(d - 2)/2
Let p = 4/3529 + 14104/10587. Factor -4 + p*t**2 - 8/3*t.
4*(t - 3)*(t + 1)/3
Factor -1/6*l**5 - 1/6*l**4 + 1/6*l**2 - 4/3*l + 5/6*l**3 + 2/3.
-(l - 1)**3*(l + 2)**2/6
Suppose -366*w = -363*w - 6. Factor 6*h + 25 + 3*h**2 + w + 0*h**2 + 12*h.
3*(h + 3)**2
Suppose -28*n = -32*n + 8. Suppose 0 = 2*o - 2*l - 10, -l + n - 3 = 0. Suppose -2*a**3 - 5*a - 2*a**3 + 2*a**4 + 5*a - 2*a**2 + o*a = 0. Calculate a.
-1, 0, 1, 2
Let g(q) be the first derivative of -3*q**5/5 - 3*q**4 + 3*q**3 + 27*q**2 + 283. Factor g(y).
-3*y*(y - 2)*(y + 3)**2
Suppose 0 = -252*q + 88*q. Factor q - 5/4*t - 1/4*t**2.
-t*(t + 5)/4
Factor -1/8*h**4 - 3/8*h**3 + 9/8*h**2 + 3/2 + 23/8*h.
-(h - 3)*(h + 1)**2*(h + 4)/8
Let c(t) = t**3 - t - 1. Let k(d) = 2*d**3 - 30*d**2 - 89*d - 77. Let o(x) = -5*c(x) + k(x). Solve o(f) = 0 for f.
-6, -2
Let a(h) be the first derivative of h**6/90 - 2*h**5/15 + 2*h**4/3 + h**3 - 3. Let w(m) be the third derivative of a(m). Determine k, given that w(k) = 0.
2
Let z be (-4)/10*40/16. Let q be (z/12)/(3/(-27)). Let 0 - o**3 - q*o**2 + 1/4*o = 0. What is o?
-1, 0, 1/4
Factor 4/3*j**3 + 0*j**2 - 4/3*j + 0.
4*j*(j - 1)*(j + 1)/3
Factor 6*n**2 + 12 - 12*n - 1342*n**3 + 1351*n**3 - 21*n**2.
3*(n - 2)*(n + 1)*(3*n - 2)
Let o = 92 - 90. Factor a - 4*a**4 + a**2 + 3*a + 14*a**3 - 15*a**o.
-2*a*(a - 2)*(a - 1)*(2*a - 1)
Let o(q) be the second derivative of -11/120*q**5 - 16*q + 1/90*q**6 - 4/9*q**3 + 1/3*q**2 + 0 + 7/24*q**4. Suppose o(s) = 0. What is s?
1/2, 1, 2
Let v(k) = k**2 - k - 1. Let f = -17 - -22. Let g(h) = -6*h**2 + 7*h + 8. Let m(c) = f*v(c) + g(c). Factor m(z).
-(z - 3)*(z + 1)
Let b(j) be the first derivative of 8 + 0*j**3 + 0*j - j**2 + 1/2*j**4. Factor b(g).
2*g*(g - 1)*(g + 1)
Suppose 0 - 4/3*q**2 + 14/9*q - 2/9*q**3 = 0. What is q?
-7, 0, 1
Let j = 5715 + -28573/5. Find v such that -j*v**3 + 0*v + 3/5*v**2 + 0 - 1/5*v**4 = 0.
-3, 0, 1
Let m(r) = 7*r**3 - 33*r**2 - 80*r + 96. Let p(t) = 4*t**3 - 18*t**2 - 40*t + 48. Let a(x) = -3*m(x) + 5*p(x). Determine v so that a(v) = 0.
-4, 1, 12
Let r(o) be the second derivative of 5*o**4/12 + 5*o**3/3 - 20*o**2 + 44*o. Determine j, given that r(j) = 0.
-4, 2
Let o(d) = -91*d**4 - 80*d**3 - d**2 + 12*d + 4. Let t(u) = -92*u**4 - 79*u**3 - 2*u**2 + 15*u + 5. Let f(p) = -5*o(p) + 4*t(p). Factor f(x).
3*x**2*(x + 1)*(29*x - 1)
Let n be 20/(-88)*((-5656)/1680 + (-2)/(-12)). Determine k so that -8/11*k + 12/11*k**2 + 2/11 - n*k**3 + 2/11*k**4 = 0.
1
Let p be 4/8*