3 + 112*r**2 + 4/5*r**5 - 80*r. Find b such that o(b) = 0.
-5, 1, 2
Let f(h) be the second derivative of 0*h**2 + 0 + 1/42*h**4 - 49*h + 4/21*h**3. What is m in f(m) = 0?
-4, 0
Let s be ((-15)/36)/((-730)/438). Let y(m) be the second derivative of -1/30*m**5 - 4/9*m**3 + s*m**2 + 17/72*m**4 + 0 + 8*m. Determine b so that y(b) = 0.
1/4, 1, 3
Solve 4*k - 4/7*k**2 + 1632/7 = 0 for k.
-17, 24
Let r = -129 - 280. Let p = r - -413. Factor 0*g**2 + 6/5*g**p - 2/5*g**3 + 0*g + 7/10*g**5 + 0.
g**3*(g + 2)*(7*g - 2)/10
Let x(c) = 24*c**2 + 19*c - 2. Let g be x(-1). Let p be g/(-1 + (5 - -5)/2). Determine o so that 3/2 + 3*o**2 + 15/4*o + p*o**3 = 0.
-2, -1
Let u = -32 + 40. Suppose t = 5*t - u. Determine v, given that 5*v**2 + 14*v - 13*v**2 + 12 + t*v**2 = 0.
-2/3, 3
Factor 3*w**4 + 25706*w**2 - 12*w - w**5 + 2*w**4 - 25723*w**2 + 3*w**3 - w**3 - w**3.
-w*(w - 4)*(w - 3)*(w + 1)**2
Suppose 260*y**2 - 64*y**3 + 5215235*y - 5215435*y + 3*y**4 + y**4 = 0. Calculate y.
0, 1, 5, 10
Let g = -505 + 508. Let p(d) be the second derivative of -7/5*d**5 + 2/15*d**6 + 0 + 32/3*d**g - d + 8/3*d**4 + 0*d**2. Determine o so that p(o) = 0.
-1, 0, 4
Let b(z) be the first derivative of 35/2*z**2 - 6*z - 8*z**3 + 54 - 5/4*z**4. Let b(j) = 0. What is j?
-6, 1/5, 1
Let w be (-3)/(492/(-484)) + 144/2952. Let t = -2 + 2. Find n, given that 0*n - 1/3*n**w + t + 1/3*n**2 = 0.
0, 1
Let x(k) be the first derivative of 4*k**5/5 - 198*k**4 + 42244*k**3/3 - 150480*k**2 + 577600*k - 2514. Factor x(l).
4*(l - 95)**2*(l - 4)**2
Suppose -5*p - 5556 = -p - 5*n, 0 = -3*n - 12. Let h = p - -12550/9. What is s in 4/9*s**2 - h*s**3 - 2/9*s**4 + 2/9*s**5 + 2/9*s - 2/9 = 0?
-1, 1
Let q be ((-5)/((-225)/6))/(1 - 7345/7410). Suppose 8*v**2 + 2/5*v**3 + 34/5*v - q = 0. Calculate v.
-19, -2, 1
Let x(y) be the third derivative of y**8/2240 + y**7/280 - y**4/24 + 7*y**3/6 + y**2 - 17. Let o(s) be the second derivative of x(s). Let o(a) = 0. Calculate a.
-3, 0
Let g be (4 - (-49)/(-28)) + 123/(-60) + 44/80. Solve g*c**5 + 27*c**3 + 9*c**4 + 0*c + 24*c**2 + 0 = 0.
-8, -2, 0
Let y = 5626/5 + -1125. Let g(t) be the second derivative of -14*t - y*t**5 - 2/3*t**4 - 2/3*t**3 + 0*t**2 + 0. Find u, given that g(u) = 0.
-1, 0
Let n = -28/879 + 1133/26370. Let t(h) be the third derivative of -n*h**5 + 0*h + 0*h**3 + 40*h**2 + 0 + 7/36*h**4. Suppose t(y) = 0. What is y?
0, 7
Let n = 443 + -438. Let q(l) be the second derivative of 0*l**2 - 1/24*l**4 - 1/80*l**n + 0 - 9*l - 1/24*l**3. Factor q(a).
-a*(a + 1)**2/4
Let v = 15481/36 - 430. Let u(j) be the second derivative of 0 + v*j**4 + 0*j**3 + 1/60*j**5 + 0*j**2 + 2*j. Factor u(r).
r**2*(r + 1)/3
Suppose z = 4*m - 67, m + 3*z = -z + 4. Factor 6*n**2 + m + 35*n - n**2 - 6*n**2 - 4*n**2 + 24.
-5*(n - 8)*(n + 1)
Let g(o) = 2*o**2 - 92*o + 970. Let m(d) = -14428 + 3*d - d + 14427. Let v(r) = g(r) + 2*m(r). Determine k so that v(k) = 0.
22
Let x = 14 - 13. Suppose -23 + x = -2*q. Let r(t) = -2*t**2 + 24*t - 61. Let a(k) = k**2 - 12*k + 30. Let j(d) = q*a(d) + 6*r(d). Solve j(w) = 0 for w.
6
Factor 14/9*g**3 + 746/9*g - 1060/9*g**2 + 100/3.
2*(g - 75)*(g - 1)*(7*g + 2)/9
Let w(l) be the first derivative of l**3/33 + 14*l**2/11 - 204*l/11 - 968. Let w(a) = 0. Calculate a.
-34, 6
Let g(t) be the third derivative of -t**8/168 - t**7/35 + 13*t**6/60 + 9*t**5/10 - 3*t**4 + 11*t**2 + 87*t. Find d such that g(d) = 0.
-4, -3, 0, 1, 3
Suppose -11*x = x - 2388. Suppose -56*o - 18 + 64*o**2 + 65*o**2 - x*o**2 + 64*o**2 = 0. What is o?
-9, -1/3
Let x = -204672 - -204672. Solve 4/3*w**2 - 4/3*w**4 - 12*w + 12*w**3 + x = 0 for w.
-1, 0, 1, 9
Let u(o) be the second derivative of o**4/4 + 70*o**3 - 1287*o**2/2 - 9896*o. Factor u(a).
3*(a - 3)*(a + 143)
Let 3*v**3 + 12 - 36*v**2 - 23 - 3*v + 41 + 6 = 0. What is v?
-1, 1, 12
Let s(h) be the first derivative of 859/2*h**4 - 30 - 8*h - 2014/5*h**5 - 290/3*h**3 + 361/3*h**6 - 64*h**2. What is c in s(c) = 0?
-2/19, 1
Suppose 0 = a + 3*g + g - 119, g + 4 = 0. Let n be 18/(-12)*(-12)/a. Determine x, given that 2/15*x**2 + n + 4/15*x = 0.
-1
Suppose -5*y + 4*v = 3328, 4*v - 2000 = -2*y + 5*y. Let x = y - -1329/2. Suppose 0*p**3 - x*p**4 + 0*p - 1/2 + p**2 = 0. Calculate p.
-1, 1
Suppose 0*n = 2*i - 2*n - 20, -i = -4*n - 16. Suppose 6*d - i - 10 = 0. Factor -3*j**2 + 0*j**3 + j**3 + 2*j**d.
3*j**2*(j - 1)
Let b be ((-6920)/(-519) - 6*3)*(-3)/4. Let f be ((2 - 2)*-1)/(-2). Determine w so that 18*w**4 - 9/8*w**2 + b*w**3 + f + 8*w**5 - 1/4*w = 0.
-2, -1/4, 0, 1/4
Let a = -15291/10 + 5303/5. Let y = a + 469. Solve 1/4*n**3 + 0 + 0*n - y*n**2 - 1/4*n**5 + 1/2*n**4 = 0.
-1, 0, 1, 2
Let r(x) be the second derivative of 1/8*x**3 + 2*x + 1/16*x**4 - 2 - 9/2*x**2. Factor r(p).
3*(p - 3)*(p + 4)/4
Factor -6/7 - 1/7*h**3 - 11/7*h - 6/7*h**2.
-(h + 1)*(h + 2)*(h + 3)/7
Let i be (-12)/(-10)*5*(-558)/(-1953). Factor -2/7*d**2 + 32/7 - i*d.
-2*(d - 2)*(d + 8)/7
Suppose 133 = -28*a - 63. Let g be (-45)/(-6) - (-1 - a). Factor 5/2*q + g - 1/2*q**3 + 1/2*q**2.
-(q - 3)*(q + 1)**2/2
Let f(n) be the first derivative of 2*n**5/5 - 4*n**4 + 38*n**3/3 - 12*n**2 - 550. Factor f(g).
2*g*(g - 4)*(g - 3)*(g - 1)
Let z(v) be the third derivative of -1/60*v**5 + 0 - 1/12*v**4 + v + 0*v**3 - 2*v**2. Factor z(o).
-o*(o + 2)
Factor -736*q**4 + 14271*q**3 - 756*q**4 + 3*q**5 + 1912*q**4 - 30246*q**2.
3*q**2*(q - 2)*(q + 71)**2
Let l be 1 + (234/27 - 10)*3/4. Let 7/3*g**2 + l - 7/3*g**4 - 1/3*g**5 - 8/3*g + 3*g**3 = 0. What is g?
-8, -1, 0, 1
Determine y, given that -219/4*y**3 - 651/4*y**2 - 105*y + 3 = 0.
-2, -1, 2/73
Let u be 45 - 12 - 7 - 24. Let 171/5*s**u + 30 - 39/5*s**3 + 3/5*s**4 - 57*s = 0. Calculate s.
1, 2, 5
Let t be ((-16)/(-44))/(11/121). Let v be (3/(-6) - -2)/(2/t). Factor 171/4*p**2 - 67/4*p**v - 54*p + 13/4*p**4 + 27 - 1/4*p**5.
-(p - 3)**3*(p - 2)**2/4
Let q(j) be the third derivative of -j**7/420 - 11*j**6/240 - 3*j**5/40 + 11*j**4/48 + 5*j**3/6 - 81*j**2. Factor q(m).
-(m - 1)*(m + 1)**2*(m + 10)/2
Factor 7/2 - 9/4*b + 1/4*b**2.
(b - 7)*(b - 2)/4
Factor 39*b**2 + 3*b**2 - 54*b**2 - 4*b**3 + 4*b**2 + 12*b + 0*b**3.
-4*b*(b - 1)*(b + 3)
Let t(s) = 2*s**4 + 59*s**3 - 130*s**2 + 127*s - 7. Let d(y) = -15*y**4 - 415*y**3 + 910*y**2 - 890*y + 50. Let u(z) = -7*d(z) - 50*t(z). Factor u(r).
5*r*(r - 4)*(r - 3)*(r - 2)
Let q(x) be the second derivative of -x**7/84 - 2*x**6/5 + x**5/10 + 4*x**4 - 123*x + 11. Solve q(n) = 0 for n.
-24, -2, 0, 2
Let n be 384/(-96)*(-40)/880. Factor -58/11*q + n*q**2 + 56/11.
2*(q - 28)*(q - 1)/11
Let h(y) = y**3 + 4*y**2 - 10*y + 15. Let f be (9/(-4))/(24/64). Let k be h(f). Let -16*x**2 + 16/3*x - 16/3*x**4 - 20*x**k + 0 = 0. What is x?
-2, 0, 1/4
Factor -39 - 45/2*s + 18*s**2 + 3/2*s**3.
3*(s - 2)*(s + 1)*(s + 13)/2
Let i be (-10)/(-315) - 7936/(-4032). Find c such that 112 - 8*c + 1/7*c**i = 0.
28
Let y(w) be the second derivative of 7*w**6/120 + 3*w**5/8 - 23*w**4/16 + 5*w**3/6 + 3*w**2/2 + 2598*w. Factor y(a).
(a - 1)**2*(a + 6)*(7*a + 2)/4
Let z(b) be the first derivative of b**4/14 - 80*b**3/7 + 3348*b**2/7 - 7776*b - 13036. Factor z(a).
2*(a - 84)*(a - 18)**2/7
Let s = -381748 - -4199260/11. Let 12/11*l - s + 2/11*l**2 = 0. Calculate l.
-8, 2
Let y be (-4)/(-10)*(2115/94 - 22). Factor -4/5 - 4/5*x + 2/5*x**3 - y*x**4 + 3/5*x**2.
-(x - 2)**2*(x + 1)**2/5
Let b(v) be the second derivative of -v**5/5 + 137*v**4 + 2*v**3/3 - 822*v**2 + 7132*v. Determine d, given that b(d) = 0.
-1, 1, 411
Let f be 35/(-70) - (4 + -5). Let d(l) be the third derivative of 1/20*l**5 - f*l**4 + 0*l + 2*l**3 - 8*l**2 + 0. Factor d(g).
3*(g - 2)**2
Suppose 28 = 2*s - 8*a + 11*a, 4*s + 5*a - 50 = 0. Let f(g) be the second derivative of -1/210*g**s - 243/7*g**2 - 5*g - 27/7*g**3 + 0 - 3/14*g**4. Factor f(c).
-2*(c + 9)**3/21
Factor 38/17*o + 2/17*o**2 + 36/17.
2*(o + 1)*(o + 18)/17
Let a be (12 + 24/(-3))*(-297)/(-30). Let f = a - 182/5. Suppose -4*i**2 + 8/5*i**4 - 2/5*i**5 + 8/5*i + f - 2/5*i**3 = 0. Calculate i.
-1, 2
Let s(m) = -2*m**4 - 100*m**3 - 436*m**2 - 719*m - 360. Let o(c) = 3*c**4 + 195*c**3 + 874*c**2 + 1437*c + 720. Let y(l) = -3*o(l) - 5*s(l). Factor y(t).
(t - 90)*(t + 1)*(t + 2)**2
Suppose 0 = -n + 8 - 7. Suppose m - n = 4*t, 3*m - m - 4*t = 6. Solve -5*l**4 + 4*l**2 - 4*l - 7*l**3 + 0*l + 9*l**3 + 2*l**m + 1 = 0.
-1, 1/2, 1
Let x