be (-25)/(-5) + (-460)/t. What is d in -p - 57*d**3 + 3*d**4 - 56*d**2 - 27 + 15*d**3 + 200*d**2 + 42*d = 0?
-1, 1, 7
Let l = -224 + 215. Let o be (254/30 + l)/((-2)/20). Determine m, given that -16/3*m**2 + 5/6*m**5 + 8/3 + 10/3*m**3 - o*m + 23/6*m**4 = 0.
-2, 2/5, 1
Let t be (-2 - -2 - 235/(-2115))*21. Let -2 + t*y**5 + 32*y**3 - 44/3*y**4 - 94/3*y**2 + 41/3*y = 0. Calculate y.
2/7, 1, 3
Let m(c) be the second derivative of -c**7/336 + 67*c**6/240 + 71*c**5/160 - 203*c**4/96 - 35*c**3/24 + 17*c**2/2 - 39*c - 6. Solve m(w) = 0 for w.
-2, -1, 1, 68
Let x = 7 - 6. Let c be x/(-4)*2 - (-13)/2. Find o such that -10*o**4 - 10*o + 2*o + 6 - 2 + 8*o**3 + c*o**4 = 0.
-1, 1
Let b = 4 - 1. Suppose -2*p = b*p + 10. Let l(w) = w**5 + 8*w**4 + 13*w**3 + 12*w**2 + 2*w - 2. Let h(f) = -f**4 + f + 1. Let x(d) = p*h(d) - l(d). Factor x(u).
-u*(u + 1)**2*(u + 2)**2
Suppose 141 = -4*y + 85. Let q(w) = -w**2 - 14*w + 4. Let t be q(y). Factor -151*v**4 + 40*v**2 - 11*v**3 - 20*v + 76*v**t - 14*v**3 + 80*v**4.
5*v*(v - 2)**2*(v - 1)
Let u be 1/2*(-2 + (-24)/(-4)). Solve -6*d**3 + 4*d - 10*d**2 - 11*d**2 + 23*d**2 - u*d**4 + 2*d**5 = 0 for d.
-1, 0, 1, 2
Let g = -1107 + 1128. Suppose v = -g*v. Determine a, given that v + 7/6*a**2 - 1/6*a**3 + 0*a = 0.
0, 7
Let s(w) be the second derivative of -w**5/120 - 25*w**4/24 - 22*w**3 + 6292*w**2/3 - 2394*w. Factor s(j).
-(j - 13)*(j + 44)**2/6
Let t(w) be the second derivative of w**6/15 - 2*w**5 + 50*w**4/3 - 4*w - 177. Factor t(m).
2*m**2*(m - 10)**2
Let q(m) be the second derivative of -1/10*m**4 + 0*m**2 + 1/50*m**5 + 0 + 0*m**3 + 30*m. Factor q(y).
2*y**2*(y - 3)/5
Let g(c) be the third derivative of c**7/525 - 7*c**6/150 - 2*c**5/75 + 14*c**4/15 + 2175*c**2. Factor g(l).
2*l*(l - 14)*(l - 2)*(l + 2)/5
Let i(y) be the first derivative of y**4/8 - 1771*y**3/6 + 3539*y**2/4 - 1769*y/2 + 6816. Factor i(q).
(q - 1769)*(q - 1)**2/2
Suppose -3*q + 70 + 17 = 2*d, -4*q + 112 = 4*d. Let r = q - 13. Factor 40*t + 5*t**3 - 25*t**2 - 20 - r*t + 18*t.
5*(t - 2)**2*(t - 1)
Let f be -1 - 9660/(-25) - (-4)/(-10). Let o be ((-3458)/f - -9) + (-4)/(-22). Factor -o*x**2 - 6/5 + 7/5*x.
-(x - 6)*(x - 1)/5
Suppose -54 = 5*s - 69. Factor -514500*c - 4501875 - 3*c**4 - 988*c**s + 7720*c**2 - 29770*c**2 + 568*c**3.
-3*(c + 35)**4
Factor -256/11 + 0*w**2 + 96/11*w - 2/11*w**3.
-2*(w - 4)**2*(w + 8)/11
Let b(p) be the second derivative of p**6/27 - 13*p**5/15 + 14*p**4/3 - 232*p**3/27 + 2457*p. Factor b(k).
2*k*(k - 2)**2*(5*k - 58)/9
Let u(l) be the second derivative of 2*l**7/105 - 37*l**6/75 + 13*l**5/50 + 91*l**4/30 - l**3 - 54*l**2/5 - 6298*l. Solve u(i) = 0.
-1, 1, 3/2, 18
Let y be (-42)/(-8) + 2 + (-36)/16. Let c(w) be the third derivative of 4/3*w**3 + 0*w + 8*w**2 + 0 + 1/10*w**y + 13/12*w**4. What is r in c(r) = 0?
-4, -1/3
Find i, given that 64*i**2 - i**4 + 1030 + 69*i**2 + 11*i**3 - 1422*i - 173*i + 422 = 0.
-12, 1, 11
Find v, given that -140*v + v**5 - 65*v**2 + 37 - 11*v**5 - 3*v**3 + 148*v**3 + 5*v + 51*v**4 - 23 = 0.
-2, -1, 1/10, 1, 7
Let u = 271180 - 270856. Factor -18*l - 1/4*l**2 - u.
-(l + 36)**2/4
Let s(k) = -73*k - 194. Let m be s(-3). Let d be m*((-65)/(-25) + -2). Factor 5/2*o**2 - 25/2*o + d.
5*(o - 3)*(o - 2)/2
Let x = -753416/7 - -107357. Let m = -273 - x. Find z, given that 4/7 + 0*z**2 + 2/7*z**3 - m*z = 0.
-2, 1
Let v(i) be the second derivative of 27*i**5/100 + 129*i**4/5 + 338*i**3/5 + 336*i**2/5 - 13*i + 6. Solve v(t) = 0 for t.
-56, -2/3
Let w(b) = 19*b**3 + 1408*b**2 + 2911*b + 1442. Let c(g) = 3*g**3 - 4*g**2 + 2*g - 1. Let k(o) = -8*c(o) + w(o). Factor k(y).
-5*(y - 290)*(y + 1)**2
Let i(j) = -6*j**5 + 3*j**4 + 18*j**3 + 3*j - 3. Let h(a) = -a**5 + a - 1. Suppose -c - 4*w + 11 = 0, 2*w + 3*w = 10. Let z(r) = c*h(r) - i(r). Factor z(s).
3*s**3*(s - 3)*(s + 2)
Let c = 129251274357/3155 + -40967123. Let u = -6/631 + c. Factor -1/5*d + u - 2/5*d**2 + 1/5*d**3.
(d - 2)*(d - 1)*(d + 1)/5
Let n(t) be the third derivative of 0*t + 0 + 15/4*t**4 + 1/140*t**7 - 31*t**2 + 1/8*t**6 + 9*t**3 + 37/40*t**5. Factor n(j).
3*(j + 2)**2*(j + 3)**2/2
Let p(y) be the second derivative of y**7/98 - 155*y**6/14 + 4629*y**5/140 + 2323*y**4/28 - 1544*y**3/7 - 4638*y**2/7 + 3*y + 60. Suppose p(r) = 0. What is r?
-1, 2, 773
Let b(j) = 48*j**2 - 342*j + 46. Let y be b(7). Find d, given that -6/7*d**3 - 4*d**y + 0*d + 4/7*d**2 + 30/7*d**5 + 0 = 0.
-2/5, 0, 1/3, 1
Suppose 11264/3*t - 2/9*t**5 + 86/3*t**4 - 32768/9 - 8440/9*t**3 + 7160/9*t**2 = 0. What is t?
-2, 1, 2, 64
Let b(r) be the third derivative of 0 - 134*r**2 + 0*r**3 + 0*r + 3/44*r**4 - 1/660*r**6 - 4/165*r**5. Suppose b(o) = 0. What is o?
-9, 0, 1
Suppose -26*r + 39 = -169. Let q(a) be the first derivative of -4*a**2 + 2/15*a**5 + 26/9*a**3 - a**4 - r + 8/3*a. Factor q(n).
2*(n - 2)**2*(n - 1)**2/3
Let k = 240641/2 - 120319. Factor 12 + k*m**3 - 3/2*m - 12*m**2.
3*(m - 8)*(m - 1)*(m + 1)/2
Find c, given that 56*c + 192 - 2/9*c**3 + 8/3*c**2 = 0.
-6, 24
Suppose d + l - 1 = 0, l - 4 + 0 = 0. Let j be ((4/d)/(-1))/((-115)/(-207)). Factor -3/5*b**2 - 12/5 - j*b.
-3*(b + 2)**2/5
Factor 6*l + 68 + 231*l**2 - 100*l**2 - 130*l**2 - 27*l.
(l - 17)*(l - 4)
Let w(z) be the first derivative of 60*z**2 - 100*z + 5/4*z**4 - 15*z**3 + 176. What is o in w(o) = 0?
2, 5
Let 2*i**2 - 2/9*i**3 + 22/9 + 14/3*i = 0. Calculate i.
-1, 11
Let r(v) = 6*v**2 + 18*v + 9. Let a(c) = -3 + 0 + c**2 + 0 + 4. Let d(x) = 9*a(x) - r(x). Determine y, given that d(y) = 0.
0, 6
Let k be (-1 - 0 - -3)/((-6)/24). Let s be ((-3)/((-12)/k))/(-1). Factor -6*j**2 + 10*j + 7*j**4 - 7*j**2 - 2*j**s - 2*j**4.
5*j*(j - 1)**2*(j + 2)
Let c(u) = -2*u + 20. Let i be c(9). Determine f, given that f**2 - 3*f**2 + 21*f**4 - 2 + 30*f**3 - 30*f - f**2 - 9*f**i - 7 = 0.
-1, -3/7, 1
Let p be (-576)/480 + 94/(-5). Let f(n) = n**2 + 6*n - 280. Let b be f(p). Factor 2/3*r**4 + 0*r + 5/3*r**3 + b - r**2.
r**2*(r + 3)*(2*r - 1)/3
Let l be -2*20/(-5)*(-10)/16. Let c be -6*3*l/30. Let -7*p**2 - 7*p - 10*p**3 - 3 + 9*p**c + p**2 + p**2 = 0. What is p?
-3, -1
Let s(l) = 776*l + 7026. Let i be s(-9). Let x(n) be the second derivative of -1/15*n**6 - 8/3*n**3 + 7*n**2 + 0 - n**4 - i*n + 4/5*n**5. What is g in x(g) = 0?
-1, 1, 7
Let u = 3047 - 3044. Let b(o) be the first derivative of 0*o - 1/14*o**4 + 0*o**2 + 1/21*o**6 + 2 + 0*o**u + 0*o**5. Solve b(i) = 0 for i.
-1, 0, 1
Let q(l) be the third derivative of 0*l**4 - 88 - 1/448*l**8 + 0*l**5 + 0*l**3 + 0*l - 1/480*l**6 - 2*l**2 + 1/210*l**7. Determine a so that q(a) = 0.
0, 1/3, 1
Solve 2/9*i**3 + 101/9*i**2 + 52/9 - 155/9*i = 0.
-52, 1/2, 1
Let b be (-40)/(-2) + (-20)/10. Suppose b*w + w**2 + 0*w**2 - 14*w**2 + 11*w**2 = 0. Calculate w.
0, 9
Let -172/3*c**4 - 1076/3*c**2 + 4/3*c**5 + 1916/3*c**3 + 2352 - 2576*c = 0. Calculate c.
-2, 1, 2, 21
Let b be -6 - ((-136515)/(-1150))/(-19). Let k = 7/46 + b. Suppose k*t + 0 - 2/5*t**2 = 0. What is t?
0, 1
Let o(s) be the first derivative of -1444*s**5/5 + 2812*s**4 - 6896*s**3 - 2368*s**2 - 256*s - 1505. Factor o(m).
-4*(m - 4)**2*(19*m + 2)**2
Suppose 2*k = 4*g - 5*g + 238, 0 = 2*k + 2. Let n = g + -235. Find h such that 5/4*h**n + 17/4*h**3 - h + 0*h**2 - 9/2*h**4 + 0 = 0.
-2/5, 0, 1, 2
Let w(n) = 2*n**2 + n + 1. Let d(p) = -p + p**2 + 27 - 7*p - 6*p - 52. Let l(f) = -d(f) + w(f). Suppose l(a) = 0. Calculate a.
-13, -2
Let c be 2 - -2*(-8)/12. Let v(q) = q**3 + 13*q**2 + 14*q - 88. Let d be v(-11). Find p such that d + 0*p**3 + c*p**4 - 2/3*p**2 - 1/3*p**5 + 1/3*p = 0.
-1, 0, 1
Let i(s) = 5*s**2 - 2262*s + 4434. Let u(j) = 110*j**2 - 49780*j + 97545. Let b(d) = 45*i(d) - 2*u(d). Factor b(o).
5*(o - 444)*(o - 2)
Let f(m) be the third derivative of -4*m**2 + 0*m + 0 - 1/20*m**4 + 2/15*m**3 + 1/150*m**5. Factor f(w).
2*(w - 2)*(w - 1)/5
Factor -26/3*d - 2/9*d**2 - 148/9.
-2*(d + 2)*(d + 37)/9
Let r(k) = -6*k**3 + 230*k**2 + 336*k - 604. Let g(l) = -l**3 + 33*l**2 + 48*l - 86. Let y(p) = 22*g(p) - 3*r(p). Factor y(v).
-4*(v - 10)*(v - 1)*(v + 2)
Let v be (((-60)/(-18))/((32/(-3))/(-4)))/((-110)/(-440)). Find q such that v + 1/4*q**2 + 3*q = 0.
-10, -2
Let p(h) be the third derivative of -h**6/320 - 21*h**5/80 - 15*h**4/2 - 50*h**3 - 1023*h**2. Factor p(x).
-3*(x + 2)*(x + 20)**2/8
Let q = -31005 - -93017/3. Let 43/2*d**3 - 61/6*d**4 + 7/6*d**5 - 91