3/3 + 66. Let t(g) be the third derivative of w(g). Factor t(u).
3*u*(u - 1)*(u + 5)/4
Determine v, given that 1464/7*v**3 - 147*v**2 - 3*v**4 + 0 - 414/7*v = 0.
-2/7, 0, 1, 69
Suppose -784/13*m**2 - 1202/13*m**3 - 128/13*m**5 + 1184/13*m**4 - 400/13 + 1330/13*m = 0. Calculate m.
-1, 5/8, 1, 8
Suppose 4*p - 25 - 23 = 0. Let n(m) = -m + 6. Let f be n(4). Solve -p*h**2 + 5*h**4 + 4 + f*h + 3*h**3 + h**3 + 3*h**4 - 6*h = 0.
-1, 1/2, 1
What is q in 286/3*q**2 + 72 + 2/3*q**4 - 64/3*q**3 - 440/3*q = 0?
1, 2, 27
Suppose 3264 = -31*h + 3481. Let v(x) be the third derivative of -23/24*x**6 + 0 - 1/12*x**5 + 0*x - 5*x**3 + 1/6*x**h + 8*x**2 + 115/24*x**4. Solve v(m) = 0.
-1, 2/7, 1, 3
Suppose 27*q - 171*q = -1 + 1. Let a(d) be the second derivative of -1/90*d**5 + 2/9*d**2 - 1/27*d**4 + 28*d + q + 1/27*d**3. Let a(w) = 0. What is w?
-2, -1, 1
Let g(w) be the second derivative of -w**7/63 + 8*w**6/9 - 113*w**5/30 + 37*w**4/9 - 10828*w. Suppose g(b) = 0. Calculate b.
0, 1, 2, 37
Let b(u) be the third derivative of 0*u - 19/15*u**5 - 89/30*u**6 + 0*u**3 + 3*u**4 - 14/15*u**7 + 0 + 39*u**2 + 1/28*u**8. Find k, given that b(k) = 0.
-1, 0, 1/3, 18
Let d = 1651/7 - 235. Let a be (484/(-77))/4 + 2 + 0. Factor d*l**2 + 3/7*l - a.
3*(l + 1)*(2*l - 1)/7
Suppose 3*g + 3*p - 1615 = -1651, -54 = -4*g + 2*p. What is t in -9/5*t**2 - 5*t**g + 0 + 0*t + t**4 + 21/5*t**3 = 0?
-1, 0, 3/5
Determine y so that -1/3*y**3 - 11/3 - 3*y**2 + 7*y = 0.
-11, 1
Solve 3/4*b**4 + 33/4 - 15/2*b - 9*b**2 + 15/2*b**3 = 0 for b.
-11, -1, 1
Factor -966120 - 2*c**2 + 3122*c + c**2 - 694827 - 775774.
-(c - 1561)**2
Factor 0 + 1/3*m**2 + 13/3*m.
m*(m + 13)/3
Suppose 0 = 5*n + y + 179, 7*y - 2*y + 195 = -5*n. Let a(c) = -30*c**2 - 370*c + 35. Let u(d) = -5*d**2 - 62*d + 6. Let l(z) = n*u(z) + 6*a(z). Factor l(b).
-5*b*(b + 10)
Let a(t) be the second derivative of t**8/112 - t**7/14 - t**6/40 + t**5/4 + 7*t**2/2 + 6*t + 1. Let z(m) be the first derivative of a(m). Factor z(g).
3*g**2*(g - 5)*(g - 1)*(g + 1)
Suppose -m = 4*a - 7, -2*m + 4 = -a + 17. Suppose -2*o = -a*o - 2*o. Factor -6*l**3 - 12*l**2 + 12*l**2 + 4*l**4 + o*l**3.
2*l**3*(2*l - 3)
Suppose -12*q = -0*q - 15 - 33. Let w(z) be the second derivative of 0*z**2 - 4/5*z**5 + 0*z**3 + 1/6*z**7 + 1/6*z**6 + 0 + 1/3*z**4 - q*z. Factor w(b).
b**2*(b - 1)*(b + 2)*(7*b - 2)
Let u(p) be the first derivative of -5*p**3/3 + 155*p**2/2 - 150*p + 3301. Solve u(f) = 0 for f.
1, 30
Let k(v) = -v**3 - 19*v**2 - 180*v + 4. Let y(t) = 2*t**3 + 36*t**2 + 360*t - 9. Let q(o) = 9*k(o) + 4*y(o). Factor q(z).
-z*(z + 12)*(z + 15)
Let q(j) be the second derivative of j**4/28 - 13*j**3/14 - 297*j**2/7 - j + 1107. Factor q(y).
3*(y - 22)*(y + 9)/7
Determine g, given that 0 + 15*g**3 + 58*g**2 + 12*g - 29/2*g**4 - 9/2*g**5 = 0.
-3, -2, -2/9, 0, 2
Suppose 2/15*b**4 + 0 - 26/5*b**2 - 8/3*b - 12/5*b**3 = 0. What is b?
-1, 0, 20
Let s(q) be the first derivative of -q**5/30 - q**4/12 + 2*q**3/3 - q**2 + 29*q + 95. Let z(a) be the second derivative of s(a). Find g, given that z(g) = 0.
-2, 1
Let j be (173 + 12)*(-12)/20. Let v = 111 + j. Factor v + 6*a + 15/2*a**2.
3*a*(5*a + 4)/2
Let v be (-53 - 4)*14/3. Let f be -4*(301/v + 1). Let 22/19*r + 4/19 + f*r**2 = 0. What is r?
-2, -1/5
Let a(x) be the first derivative of x**5/30 + x**4/6 - 5*x**3 + 154*x**2 - 30. Let d(p) be the second derivative of a(p). Factor d(j).
2*(j - 3)*(j + 5)
Let h be (-2)/8 - (-5 + (-688567)/(-144980)). Let z = 494264/23065 - h. Factor -90/7*l**2 - 18/7*l**3 - 250/21 - z*l.
-2*(3*l + 5)**3/21
Let n(r) = -r**2 - 470*r + 2858. Let x be n(6). Let i(q) be the third derivative of 0 - 1/4*q**4 + 11*q**x + 0*q**3 - 2/15*q**5 + 0*q. Factor i(f).
-2*f*(4*f + 3)
Suppose -266*d + 87 = -71*d - 303. Let m(r) be the third derivative of 1/240*r**5 + 0 - 1/12*r**3 + 0*r + 1/96*r**4 + 17*r**d. Factor m(a).
(a - 1)*(a + 2)/4
Let w(g) be the second derivative of g**5/40 + 7*g**4/12 - 101*g**3/12 - 57*g**2/2 - 1414*g. Factor w(z).
(z - 6)*(z + 1)*(z + 19)/2
Let t(m) be the third derivative of -2*m**7/7 - 91*m**6/30 + 43*m**5/5 + 73*m**4/2 + 28*m**3/3 + 4*m**2 - 12*m + 27. Let t(u) = 0. Calculate u.
-7, -1, -1/15, 2
Find b such that -44/5*b**4 + 0 - 344/5*b**3 - 32*b + 944/5*b**2 = 0.
-10, 0, 2/11, 2
Let s(x) be the first derivative of -1/9*x**3 - 1/24*x**4 + 1/4*x**2 + 38 + 0*x. Find g such that s(g) = 0.
-3, 0, 1
Let x(a) = 10*a**4 - 25*a**3 - 140*a**2 + 145*a - 125. Let c(p) = -5*p**4 + 12*p**3 + 71*p**2 - 72*p + 75. Let k(i) = -5*c(i) - 3*x(i). Solve k(w) = 0.
-3, 0, 1, 5
Let o = -194 + 977/5. Let v be 30 - (-21 - 833/(-17)). Let 0 + 2/5*s**v + o*s**3 + s**4 + 0*s = 0. What is s?
-1, -2/5, 0
Let u(z) be the second derivative of z**5/80 - 25*z**4/48 + 17*z**3/6 - 11*z**2/2 + z + 312. Factor u(m).
(m - 22)*(m - 2)*(m - 1)/4
Let z(r) be the first derivative of 211/8*r**4 + 14 - 25/12*r**6 + 8*r + 124/3*r**3 + 27*r**2 + 3*r**5. Suppose z(h) = 0. What is h?
-1, -2/5, 4
Let t = 1309 - 1306. Suppose 0 = -t*i + 153 - 147. Find h such that -1/2*h**3 - 18*h**i - 864 - 216*h = 0.
-12
Let a(o) be the first derivative of -156 - 1/16*o**2 - 2*o + 1/32*o**4 + 2/3*o**3. Let a(f) = 0. What is f?
-16, -1, 1
Factor -84*k**4 - 395*k**2 + 1764*k + 79*k**4 - 540 - 80*k**3 - 2544*k.
-5*(k + 2)**2*(k + 3)*(k + 9)
Let f(p) = 90*p**4 + 444*p**3 - 164*p**2 - 331*p - 107. Let y(l) = 45*l**4 + 222*l**3 - 80*l**2 - 166*l - 53. Let d(n) = 8*f(n) - 17*y(n). Solve d(a) = 0 for a.
-5, -3/5, -1/3, 1
Suppose 770*x = 772*x - 10. Suppose -3*l + x*y = l - 37, 2*l = 2*y + 16. Let 0*c + 11/2*c**l + 1/2*c**5 + 0 + 3*c**4 + 3*c**2 = 0. Calculate c.
-3, -2, -1, 0
Factor 0 - 1/9*w**2 - 817/9*w.
-w*(w + 817)/9
Let z be ((-1)/((-30)/(-310)) - -10)*-2. Let m(c) be the first derivative of 1/12*c**4 - 16 + 0*c + 5/9*c**3 + z*c**2. Factor m(a).
a*(a + 1)*(a + 4)/3
Let s(a) = -5*a**4 + 77*a**3 + 11*a**2 - 221*a - 146. Let g(p) = -5*p**4 + 78*p**3 + 9*p**2 - 224*p - 144. Let i(y) = -2*g(y) + 3*s(y). Solve i(n) = 0 for n.
-1, 2, 15
Let x(c) be the second derivative of -c**4/21 + 16*c**3/21 - 2*c**2 + 8*c - 106. Factor x(p).
-4*(p - 7)*(p - 1)/7
Suppose y - v + 1 = 0, 2 + 8 = 5*v. Let m be (126/120 - y)/(4/90). Solve -3/8*q**3 + 3/8*q**5 + 3/2 - 21/8*q**2 + m*q**4 + 0*q = 0 for q.
-2, -1, 1
Let h = 953/1910 + 1/955. Let i(v) be the second derivative of 0 + 0*v**6 + 0*v**2 + 0*v**4 + 2*v + 4/3*v**3 + 1/21*v**7 - h*v**5. Suppose i(c) = 0. What is c?
-2, -1, 0, 1, 2
Factor 1/3*b**2 + 9*b + 152/3.
(b + 8)*(b + 19)/3
Let a(s) be the second derivative of -11/39*s**3 + 1/130*s**5 + 1/39*s**4 + 0 - 12/13*s**2 + 126*s. Determine x, given that a(x) = 0.
-4, -1, 3
Let p(z) be the first derivative of -z**6/2 - 711*z**5/5 - 21591*z**4/2 - 41770*z**3 - 123903*z**2/2 - 41067*z + 1463. What is i in p(i) = 0?
-117, -1
Let n(a) be the second derivative of -11*a**4/18 - 362*a**3/9 - 320*a**2/3 - 19*a - 33. Factor n(t).
-2*(t + 32)*(11*t + 10)/3
Let a(v) be the third derivative of v**5/210 - 167*v**4/84 + 110*v**3/7 + 2*v**2 + 2047. Factor a(q).
2*(q - 165)*(q - 2)/7
Let f(h) be the second derivative of -2*h**6/75 + 54*h**5/25 + 56*h**4/15 - 36*h**3/5 - 22*h**2 - 32*h - 18. Determine a so that f(a) = 0.
-1, 1, 55
Let o(y) be the third derivative of -y**5/150 + 5*y**4/12 + 26*y**3/15 + 333*y**2. Find b such that o(b) = 0.
-1, 26
Let b = 190791/5 + -38158. Suppose 4*i = -0*i + 5*x + 15, 0 = 2*x + 6. Find g, given that 0 + 0*g**2 - b*g**4 - g**3 + i*g = 0.
-5, 0
Solve 2/3*x**3 + 52/3*x - 32/3 - 22/3*x**2 = 0 for x.
1, 2, 8
Let t = 54 + -52. Suppose -t*v + 8 = 3*b, -11 - 13 = -5*b + 2*v. Factor -b*i**3 + 15*i - 5*i**3 - 19*i**3 + 132*i**2 + 25*i.
-4*i*(i - 5)*(7*i + 2)
Let z(t) = -11*t**3 + 393*t**2 - 372*t - 773. Let b(l) = -21*l**3 + 787*l**2 - 744*l - 1547. Let v(q) = 3*b(q) - 5*z(q). Factor v(h).
-4*(h - 2)*(h + 1)*(2*h - 97)
Suppose 0 = r + 4*r - 240. Let d = 51 - r. Let 2*u**2 + 4*u**2 + 6*u**d - 39*u - 2*u**3 + 35*u = 0. What is u?
-2, 0, 1/2
Let q(o) be the third derivative of -o**6/1080 + o**5/36 - o**4/8 - 19*o**3/3 + 63*o**2. Let d(r) be the first derivative of q(r). Factor d(i).
-(i - 9)*(i - 1)/3
Let o be (-2260)/1017*(-2)/((-48)/(-18)). What is f in -1/3*f**3 + 0 - 2*f**2 - o*f = 0?
-5, -1, 0
Let d = -5142/7 + 16070/21. Find p, given that -6*p**4 - d*p**3 + 24*p**2 + 1