hat f(v) = 0.
-1, -1/2, 2
Let y = 832 + -886. Let z be ((-24)/y)/((-2)/(-9)). Determine s, given that -6/7*s**4 - 108/7*s**z - 30/7 + 96/7*s + 48/7*s**3 = 0.
1, 5
Suppose 8 = f + 2*p + 1, -10 = -4*f + p. Determine o, given that 6 + 29*o - 4*o**f + 3*o**3 - 16*o - 12*o - 6*o**2 = 0.
-6, -1, 1
Let v(x) be the third derivative of -24/95*x**5 + 0 - 5/399*x**7 - 14/95*x**6 + 132*x**2 + 0*x - 1/3192*x**8 + 0*x**3 + 0*x**4. Factor v(k).
-2*k**2*(k + 1)*(k + 12)**2/19
Factor -1 + 180*y**2 - 2261*y - 4*y**3 + 1 - 5*y**4 + 2441*y - y**3.
-5*y*(y - 6)*(y + 1)*(y + 6)
Let z(q) be the first derivative of q**4/10 - 142*q**3/5 + 11448*q**2/5 - 22472*q/5 + 12. Determine d, given that z(d) = 0.
1, 106
Let -1499/4*z**3 - 15/2 - 313/4*z - 1119/4*z**2 + 9*z**5 - 435/4*z**4 = 0. Calculate z.
-2, -1/3, -1/4, 15
Suppose -36*i + 1864 + 1232 = 0. Factor -i*y**2 + 96*y + 50*y**2 + 39*y**2.
3*y*(y + 32)
Let t = 48 - 10. Suppose t + 130 = 6*q. Determine a, given that 46*a - 31*a**4 - 8 - 89*a**4 + 14*a + q*a**5 - 160*a**2 + 200*a**3 = 0.
2/7, 1
Suppose 0 = -g + 3*k - 53, g = -2*k - 62 + 14. Let v = 54 + g. Factor 4/3*o**2 + 0 + 0*o + 14/3*o**v - 6*o**3.
2*o**2*(o - 1)*(7*o - 2)/3
Let v be (-7398)/(-240)*(-2)/(-21). Let s = -13/20 + v. Factor -s*n - 4/7*n**2 - 12/7.
-4*(n + 1)*(n + 3)/7
Let p = -485298/5 + 97062. Determine t, given that 6*t - 44/15*t**2 - p - 2/3*t**3 = 0.
-6, 3/5, 1
Let c(d) be the first derivative of -12*d + 3*d**3 + 0*d**2 - 71 + 3/4*d**4. Factor c(y).
3*(y - 1)*(y + 2)**2
Suppose -10 = -2*z, -3*a - 3*z = 82 + 146. Let o = 136 + a. What is b in 5*b**5 - o*b**4 + 40*b**3 + 150*b**2 + 25 + 110*b - 7*b**5 - 17*b**5 - 11*b**5 = 0?
-1, -1/2, 5/3
Let n(g) = -11*g**3 - 28*g**2 - 24. Let l(y) = -20*y**3 - 54*y**2 - 44. Let i(k) = 6*l(k) - 11*n(k). Factor i(o).
o**2*(o - 16)
Let w(k) be the first derivative of -8427/8*k - 159/8*k**2 - 17 - 1/8*k**3. Factor w(g).
-3*(g + 53)**2/8
Let a(g) be the first derivative of -2*g**3/3 + 46*g**2/9 - 80*g/9 - 2096. Factor a(w).
-2*(w - 4)*(9*w - 10)/9
Let n(u) = -u**4 - u**3 - u**2 + u. Let k(d) = -5542*d**4 - 11605*d**3 - 6586*d**2 - 545*d - 12. Let v = -42 - -37. Let i(g) = v*n(g) - k(g). Factor i(f).
3*(f + 1)**2*(43*f + 2)**2
Let a = 341621 + -1708077/5. Find q such that 16/5 - a*q + 8/5*q**2 + 4/5*q**3 = 0.
-4, 1
Let q(n) = -15*n**2 + 476*n - 2. Let l(w) = -49*w**2 + 1428*w - 6. Let t(r) = 2*l(r) - 7*q(r). Let j be t(68). Suppose 2/5*m**j - 4/5 + 2/5*m = 0. Calculate m.
-2, 1
Let k(w) be the third derivative of -w**7/840 - 13*w**6/180 + 9*w**5/40 - 24*w**3 - 13*w**2 - 4*w. Let q(c) be the first derivative of k(c). Factor q(s).
-s*(s - 1)*(s + 27)
What is f in -86/9*f + 28/3 + 2/9*f**2 = 0?
1, 42
Let a be (-4 + 15 + 3)*-2. Let z be (-1)/7 + (-116)/a. Factor 0*f**4 - 9*f**2 - 4 + 4*f**z + 67*f**3 - 14*f - 71*f**3 + 2*f**5 - 7*f**2.
2*(f - 2)*(f + 1)**4
Let i(x) be the second derivative of -x**6/90 + 3*x**5/2 - 173*x**4/36 - 44*x**3/3 + 237*x - 9. Factor i(j).
-j*(j - 88)*(j - 3)*(j + 1)/3
Suppose 4500 = -6*f - 14*f. Let u be 5*((-159)/f - 4/6). Factor -1/10*s**3 - 1/10*s - u*s**2 + 0.
-s*(s + 1)**2/10
Let m(g) = -13*g - 50. Let r be m(-4). Let -2*x**5 - 10*x**3 - 12*x**3 + 10*x**5 - x**5 + 508*x**r - 23*x**4 - 500*x**2 = 0. Calculate x.
-1, 0, 2/7, 4
Let j = 393 - 383. Let x(d) = -d**2 + 6*d + 40. Let m be x(j). Factor -4/3*c**2 + 4/3*c**4 + m*c**3 + 2/3*c**5 - 2/3*c + 0.
2*c*(c - 1)*(c + 1)**3/3
Let c(z) be the first derivative of -93 + 9/26*z**4 + 0*z**2 + 1/39*z**6 + 0*z + 0*z**3 + 4/13*z**5. Factor c(b).
2*b**3*(b + 1)*(b + 9)/13
Let g(r) be the second derivative of r**4/6 + r + 135. Factor g(d).
2*d**2
Let u(m) = 2*m**3 - 8*m**2 - 15. Let i = 105 + -100. Let f be u(i). Factor -16 + 5*z**2 - 12 - f*z**2 + 13 + 5*z**4 - 40*z.
5*(z - 3)*(z + 1)**3
Let l(r) = -19*r**3 + 27*r**2 + 104*r + 53. Let m(b) = -124*b**3 + 176*b**2 + 676*b + 344. Let d = -143 - -138. Let k(o) = d*m(o) + 32*l(o). Factor k(g).
4*(g - 3)*(g + 1)*(3*g + 2)
Let m = 1060 - 1048. Let y be 0/((-3)/(m/8)). Determine x so that 0 + 0*x + 4/5*x**3 + y*x**2 = 0.
0
Suppose -5*x = -5*t - 158 + 58, 2*x - 58 = -4*t. Suppose x*a - 26*a = 4*n - 12, 0 = -5*n. Solve -1/2*o**2 + 0 + o**3 - 1/2*o**a + 0*o = 0.
0, 1
Let l be 21/66*(-496)/(-217). Suppose 8/11*a**3 - 2/11*a**4 - l*a + 8/11 - 6/11*a**2 = 0. What is a?
-1, 1, 2
Let c(s) = -18*s - 106. Let z be c(-7). Let q be (-6)/(z/25*20/(-8)). Determine f, given that 12/7*f**2 + 2/7*f**4 - 8/7*f**q + 2/7 - 8/7*f = 0.
1
Let s(t) be the third derivative of 1/60*t**6 + 0*t**3 + 0*t - t**2 + 1/252*t**8 + 1/135*t**5 - 17/945*t**7 - 32 + 0*t**4. Solve s(y) = 0 for y.
-1/6, 0, 1, 2
Let z(p) = 5*p**4 - 2*p. Let o(v) = -10*v**4 + 5*v. Suppose 18 - 4 = -7*i. Suppose 0 = -b - 5 - 0. Let w(x) = b*z(x) + i*o(x). Determine r, given that w(r) = 0.
0
Let c(v) be the second derivative of 1/160*v**5 + 1/24*v**4 + 1/12*v**3 + 0*v**2 - 4 + 17*v. Factor c(z).
z*(z + 2)**2/8
Factor 35*d**3 - 94*d + 189*d**2 - 50*d + 35*d + d**4 - 5*d**3 - 111*d.
d*(d - 1)*(d + 11)*(d + 20)
Let t be 43*(768/(-2064))/(-8). Suppose -42/11*w**3 + 6/11*w**t - 6/11*w**4 + 18/11*w + 24/11*w**5 + 0 = 0. Calculate w.
-1, -3/4, 0, 1
Let o(w) be the third derivative of -w**7/210 - w**6/12 - 29*w**5/60 - w**4/3 + 8*w**3 + 5*w**2 + 265*w. Solve o(u) = 0.
-4, -3, 1
Let i be (-100)/175 + (-1254)/(-112) + -5. Let c(z) be the second derivative of 675/4*z**3 + 35*z - i*z**4 + 3/40*z**5 + 0 - 10125/4*z**2. Factor c(y).
3*(y - 15)**3/2
Let k(n) = n**3 - 3*n**2 - 4*n + 6. Let t(w) = -10*w**3 - 3*w**3 + 15*w**2 + 13*w**3 - 31 + 22*w - 6*w**3. Let b(c) = 22*k(c) + 4*t(c). Factor b(r).
-2*(r - 1)*(r + 2)**2
Let s(f) be the third derivative of f**7/1050 - f**6/40 + 9*f**5/100 - 13*f**4/120 + 7*f**2 - 4*f. Factor s(w).
w*(w - 13)*(w - 1)**2/5
Let k be (-1016)/(-160) + -3 - (-2)/5. Let g(f) be the first derivative of -70/3*f**3 - 50*f**2 - 40*f - k*f**4 - 1. What is u in g(u) = 0?
-2, -2/3
Let o = 234/53 + -1064/265. Let x(z) be the second derivative of z - 1/3*z**4 - z**3 + 2*z**2 + o*z**5 - 1/21*z**7 + 0*z**6 + 0. Factor x(h).
-2*(h - 1)**3*(h + 1)*(h + 2)
Suppose -3*g + 180 = -3*c, 4*c - 246 = -4*g + 26. Factor -18 + g*a**2 + 16 - 30*a - 67*a**2 - 25.
-3*(a + 1)*(a + 9)
Let k(j) be the second derivative of 784/13*j**2 - 19*j + 1/78*j**4 + 56/39*j**3 + 0. Factor k(s).
2*(s + 28)**2/13
Let f be -57 + 114 + 3078/(-54). Factor f + 0*k + 9/8*k**3 + 1/2*k**2 + 1/4*k**4.
k**2*(k + 4)*(2*k + 1)/8
Let c(v) = -27*v**2 - 3*v**3 + 286*v + 2*v**3 - 334*v + 43 + 10. Let r be c(-25). Factor 9/2*n**2 - 13/6*n - 1/3*n**r + 0.
-n*(n - 13)*(2*n - 1)/6
Let p(t) be the second derivative of -3*t**4/8 - 2669*t**3/4 + 1335*t**2/2 - 6984*t. Factor p(c).
-3*(c + 890)*(3*c - 1)/2
Let n(i) = 87*i**4 - 47*i**3 - 257*i**2 + 55*i + 234. Let h(f) = -11*f**4 - f**3 + f**2 + 2. Let j(p) = -40*h(p) - 5*n(p). Let j(c) = 0. Calculate c.
-50, -5, -1, 1
Let w = -9955 - -9955. Let k(d) be the second derivative of -5/2*d**3 - 25/24*d**4 - 1/8*d**5 - 5*d + 0*d**2 + w. Factor k(h).
-5*h*(h + 2)*(h + 3)/2
Let t be ((-2)/20)/(2/4)*(58 + -93). Let q(h) be the second derivative of -21*h + 1/10*h**6 + 1/14*h**t + 0*h**2 - 1/4*h**4 - 9/20*h**5 + 0 + h**3. Factor q(w).
3*w*(w - 1)**2*(w + 1)*(w + 2)
Let k be ((-44340)/35)/(-5 + (-35)/(-10)). Let i = 846 - k. Factor 12/7 + 2/7*u**3 - 4/7*u**2 - i*u.
2*(u - 3)*(u - 1)*(u + 2)/7
Factor 16 - 1/5*k**2 + 11/5*k.
-(k - 16)*(k + 5)/5
Let m(f) be the first derivative of -2*f**3/21 - 15*f**2 + 1100*f/7 - 87. Solve m(a) = 0 for a.
-110, 5
Factor 1/7*x**2 + 85/7*x - 356/7.
(x - 4)*(x + 89)/7
Let x(h) be the third derivative of -h**8/294 + 2*h**7/735 + h**6/35 + h**5/105 - h**4/21 + 1204*h**2. Let x(d) = 0. Calculate d.
-1, 0, 1/2, 2
Let f be ((378/28)/27)/((-3)/(-180)). Let h(z) be the first derivative of -f*z**3 - 1080*z + 6 - 270*z**2 - 5/4*z**4. What is r in h(r) = 0?
-6
Factor -176/3*v**2 - 356/3 - 2/9*v**3 + 1598/9*v.
-2*(v - 2)*(v - 1)*(v + 267)/9
Let v(z) be the second derivative of 210*z + 31/6*z**4 + 0 + 29/3*z**3 - 2*z**2. Suppose v(y) = 0. What is y?
-1, 2/31
Suppose -2 = 102*q - 103*q. Determine w so that -65 + 0*w**2 + 264*w - 35*w**q + 42 - 49 - 14*w**3 - 3*w**2 = 0.
-6, 2/7, 3
Let u be -5 + 0 + 4 - -31. Let -9*i - 4*i**3 + u*i**2 - 42*i**2 + i = 0. Calculate i.
-2, -1, 0
L