 27/2*r**k + 15*r**2 + 0.
3*r*(r + 1)*(r + 2)**3/4
Determine u, given that -19*u**3 - 5 + 2*u**4 + u**5 + 5 + 28*u**2 - 161*u + 149*u = 0.
-6, 0, 1, 2
Let o(f) be the first derivative of -531*f**4/4 + 100*f**3 + 213*f**2/2 + 18*f - 6076. Determine s so that o(s) = 0.
-1/3, -6/59, 1
Let b(t) be the first derivative of -t**5/50 - 351*t**4 - 2464020*t**3 - 8648710200*t**2 - 15178486401000*t + 11285. Factor b(y).
-(y + 3510)**4/10
Suppose w - 8*w = 525. Let s be (-3)/((w/(-20))/(-5)). Determine d so that -2*d + 6 - 2*d**2 - s + 3*d**3 - d = 0.
-1, 2/3, 1
Let r be (-5 + 4 - 1) + 4. Factor 540*q - 437 + 214 - 14580*q**r + 218.
-5*(54*q - 1)**2
Suppose -301*s = -298*s - 3*n - 42, -2*n + 42 = 12*s. Suppose 0 + 1/2*z**3 - 1/6*z**s - 1/6*z**2 + 1/6*z**4 - 1/3*z = 0. Calculate z.
-1, 0, 1, 2
Let j(m) be the first derivative of -m**4/20 - 3*m**3/10 + 83*m + 94. Let c(a) be the first derivative of j(a). Solve c(u) = 0 for u.
-3, 0
Suppose -5*m = -m - 12. Suppose -3*u + 4*y + 7 = 2*y, y = m*u - 8. Factor -2*k**4 + 8*k - 6*k**u - 5369*k**2 + 5369*k**2.
-2*k*(k - 1)*(k + 2)**2
Factor 155*o - 78 - 149*o + 229*o**2 - 117*o**3 + o**5 + 3*o**4 + 336 + 810*o + 210.
(o - 6)**2*(o + 1)**2*(o + 13)
Let y(h) = -h**2 - 1. Let q(u) = u + 5. Let n be q(0). Let v(g) = g - 5*g + 9*g**2 + 2 - 6 + 0*g + 9. Let f(j) = n*y(j) + v(j). Factor f(s).
4*s*(s - 1)
Let o(p) = 9 - 3*p + 0*p - p + 6*p**2. Let y(z) = -5*z**2 + 4*z - 8. Suppose -23*l = -18*l + 20. Let c(q) = l*o(q) - 5*y(q). Suppose c(u) = 0. What is u?
2
Let o(m) be the third derivative of m**6/60 - 23*m**5/15 + 95*m**4/4 - 156*m**3 + 48*m**2 + 12*m. Find l such that o(l) = 0.
3, 4, 39
Let v(j) = -j**4 + 2*j**3 + j + 1. Let s(h) = -25*h**3 - 5*h**2 + 10*h + 5. Suppose -24*b - 43 = 77. Let k(d) = b*v(d) - s(d). Factor k(u).
5*(u - 1)*(u + 1)**2*(u + 2)
Let p(q) be the second derivative of q**5/20 - 5*q**4/4 + 7*q**3/3 + q**2 - 23*q. Let v be p(14). Factor 3*d**4 - 9*d**3 + d**3 + 0*d**v - 4*d**2 - 7*d**4.
-4*d**2*(d + 1)**2
Factor -891*d**3 + 0 + 4374*d**2 + 0*d + 57/2*d**4 - 1/4*d**5.
-d**2*(d - 54)**2*(d - 6)/4
Let j(i) = 17*i**2 - 47*i - 50. Let g(m) = 19*m**2 - 48*m - 46. Let z(p) = -8*g(p) + 9*j(p). Determine a so that z(a) = 0.
-2, 41
Let c be (1/2)/((-11)/(-88)). Suppose -c*u + 5*v = 4*v - 3, -4*v = 12. Let -8*y**2 - 12*y**5 - 4*y**4 + 5*y**3 + 10*y**2 + u*y**4 = 0. Calculate y.
-1/2, 0, 2/3
Let g(d) be the second derivative of 0 + 0*d**2 - 5*d**3 - 11*d - 1/40*d**5 - 1/360*d**6 + 1/6*d**4. Let r(h) be the second derivative of g(h). Factor r(i).
-(i - 1)*(i + 4)
Let g(j) be the first derivative of j**5/140 + j**4/28 - 2*j**2/7 + 69*j - 188. Let q(m) be the first derivative of g(m). Find y such that q(y) = 0.
-2, 1
Let -242/13*y + 248/13 - 6/13*y**2 = 0. What is y?
-124/3, 1
Let q(y) = -2*y**2 - 25*y + 27. Let r be q(1). Let o be (0/(1 - r))/4. Factor -w**3 + 1/2 + o*w - 3/2*w**2.
-(w + 1)**2*(2*w - 1)/2
Let s be ((-6)/81)/((-22)/165)*(-2)/(-4). Let w(m) be the third derivative of 0*m - s*m**3 + 0 - 35*m**2 - 1/36*m**5 - 5/36*m**4. Suppose w(i) = 0. What is i?
-1
Let i = 42 + -13. Let m = i + -26. Find o, given that 73 + 6*o + 6*o**2 - 3*o**3 - 73 + m*o = 0.
-1, 0, 3
Factor -3297/2*u**2 - 6075/2 + 9207/2*u - 147/2*u**3.
-3*(u + 25)*(7*u - 9)**2/2
Let u(i) be the second derivative of 0 + 5*i + 7/108*i**4 + 10*i**2 - 8/27*i**3 + 1/270*i**5. Let o(z) be the first derivative of u(z). Let o(y) = 0. What is y?
-8, 1
Suppose -p - 13 = 3*g, 2*p + g + 0*g = -11. Let f be 9/6*(0 + p + 420). Factor 624 - 4*a**5 - 4*a**4 - f + 4*a**3 + 4*a**2.
-4*a**2*(a - 1)*(a + 1)**2
Let n(d) be the second derivative of d**4/20 + 174*d**3/5 + 45414*d**2/5 - 159*d + 2. Factor n(f).
3*(f + 174)**2/5
Let r be (-3 - (3 + -20)) + -61 + 54 - 5. Factor 9/4*m**3 + 0 - 3/2*m**r + 0*m**4 + 0*m - 3/4*m**5.
-3*m**2*(m - 1)**2*(m + 2)/4
Suppose -175*z**3 + 581/2*z + 923/4*z**2 + 3/4*z**4 - 116 = 0. Calculate z.
-1, 1/3, 2, 232
Let b(z) = -111*z - 467. Let i be b(-5). Let d be i/(-40) + 2 + (-335)/(-175). Determine j so that d*j**2 + 0*j + 0 + 3/7*j**3 = 0.
-4, 0
Let y(l) = -6*l**2 + 6. Suppose 0 = -4*k - 26 - 10. Let j(d) = 3*d**2 - 3. Let f(o) = k*j(o) - 5*y(o). Factor f(m).
3*(m - 1)*(m + 1)
Find t, given that 5*t**5 - 99*t**3 - 1775*t + 1775*t + 12*t**4 - 280*t**2 - 11*t**3 + 13*t**4 = 0.
-7, -2, 0, 4
Let z(y) = 4*y + 298. Let c be z(-50). Suppose 0 = -5*i - 3*b + 6, 5*b = 4*i + 71 - c. Solve 0 + 0*q - 4/5*q**i + 2/5*q**4 - 6/5*q**2 = 0 for q.
-1, 0, 3
Let k(r) be the second derivative of r**5/20 + 41*r**4/3 - 166*r**3/3 - 4390*r. Factor k(m).
m*(m - 2)*(m + 166)
Let l(r) be the second derivative of 0*r**2 + 1/35*r**5 - 8/21*r**3 + 0*r**4 + 0 + 90*r. Factor l(u).
4*u*(u - 2)*(u + 2)/7
Let w(m) be the third derivative of m**6/1200 + 37*m**5/200 - 457*m**4/240 + 23*m**3/4 - 1352*m**2 + 1. Let w(h) = 0. What is h?
-115, 1, 3
Solve -10*f**3 + 524 - 6*f**3 + 100*f**2 + 15*f**3 - 33*f + 35*f**2 - 495*f = 0 for f.
2, 131
Suppose -19*l + 68 = -8. Factor -5 + 25*x + 7*x**2 - l - 30*x + 7.
(x - 1)*(7*x + 2)
Let d = -4861 + 4863. Let g(x) be the second derivative of 0*x**4 + 0*x**d - 29*x + 1/21*x**7 + 0*x**3 + 0 + 2/15*x**6 - 3/10*x**5. Factor g(h).
2*h**3*(h - 1)*(h + 3)
Suppose -24 = -t - 30. Let y be -1 - (-3)/t*-6. Solve -x + y*x + 1 + x + x**2 = 0 for x.
-1
Suppose -567*j + 172 = -481*j. Let s(p) be the second derivative of 0 + 2*p**3 + 4*p**j - 13*p + 1/3*p**4. Solve s(c) = 0 for c.
-2, -1
Let z be (506/(-460))/(2 - (-112)/(-105) - 1). What is r in 8 - 1/2*r**3 - z*r + 9*r**2 = 0?
1, 16
Determine u, given that -15708/5*u + 18/5*u**2 + 10464/5 = 0.
2/3, 872
Let a be (3 - (-1416)/(-456)) + 59/19. Let t(y) be the first derivative of 0*y + 4/3*y**a + 4*y**2 - 10. Determine f, given that t(f) = 0.
-2, 0
Let c be (-56)/8 - 0/1. Let m be (2 + 2 + c)/(-1). Determine y so that 480*y + 261*y**3 + 455*y**2 - 238*y**2 - 11*y**m + 383*y**2 + 128 = 0.
-4/5
Factor -296 - r**2 + 5*r**2 - 16598*r - 8*r**2 + 16898*r.
-4*(r - 74)*(r - 1)
Suppose -13*c - 254 = 84. Let u be ((-4)/c)/((-8)/(-392)). Find w, given that -28/13*w - 2/13*w**2 - u = 0.
-7
Let v(q) be the third derivative of -q**7/420 - q**6/480 + 7*q**5/48 - 47*q**4/96 + 5*q**3/8 + 1250*q**2. Let v(p) = 0. What is p?
-5, 1/2, 1, 3
Let o = 67 + -61. Suppose -o*x + x = -170. Let 10*w + 2*w**3 - 42*w**2 + x*w**2 - 5 + 1 = 0. Calculate w.
1, 2
Let b be 0/(2 - (-2 + 2)). Suppose -17*h + 174*h + 56*h = 426. Solve -3*s - 3/5*s**h + b = 0 for s.
-5, 0
Let r be ((-66)/(-24))/11 - (7/147)/(168/98). Solve -10/9*q**4 + 0*q + 0 - r*q**5 + 16/9*q**3 + 8/3*q**2 = 0 for q.
-6, -1, 0, 2
Let b(n) be the third derivative of n**8/224 - 23*n**7/70 + 11*n**6/10 + n**5/20 - 89*n**4/16 + 11*n**3 + 854*n**2. Find z such that b(z) = 0.
-1, 1, 44
Let l(n) = -18*n - 1076. Let g be l(-62). Let b(u) be the first derivative of g*u**2 + 0*u + 18 + 5/4*u**4 - 40/3*u**3. What is r in b(r) = 0?
0, 4
Let x(d) be the second derivative of -5/12*d**4 + 0 - 1/4*d**5 + 0*d**3 + 44*d + 0*d**2. Determine w so that x(w) = 0.
-1, 0
Let g be (10/4 - (-4)/8) + 1. Suppose 49 = 3*v + 5*q, -5*v + 18 = 5*q - 47. Suppose -1 + 5 + v*j + g + 2*j**2 + 0 = 0. Calculate j.
-2
Let t(r) = 30*r**3 + 4*r**2 - 6*r - 8. Let z(u) = 52*u**3 + 9*u**2 - 11*u - 17. Let g(j) = 14*t(j) - 8*z(j). Factor g(d).
4*(d - 3)*(d - 2)*(d + 1)
Let g be -336 + 334 + (-2)/(-11)*14. Suppose -b + 7 = 2*k, b + 15 = k + 10. Factor -6/11*m + 6/11*m**2 - g*m**k + 6/11*m**3 + 0.
-6*m*(m - 1)**2*(m + 1)/11
Let q(r) be the third derivative of 1/80*r**6 - 1/40*r**5 + 1/140*r**7 + 0*r + 24*r**2 + 0*r**4 + 0 + 0*r**3 - 1/224*r**8. Determine i so that q(i) = 0.
-1, 0, 1
Let v(t) = -34*t**2 - 29*t - 142. Let j be v(-4). Let o be (j/1539)/((-10)/36). Solve 8*z - 12 - o*z**2 = 0.
3
Let k be (12/(-9))/(14/(-21)). Suppose -k*t - n + 9 = 0, -2*n - 8 = 2. Let 11 - t*s**3 + s**3 - 21*s**2 + 45*s + 9*s**3 - 38 = 0. What is s?
1, 3
Suppose 0 = 3*n - 2*z - 365 + 75, n = z + 97. Determine c so that n*c + 13 + 0*c + 3*c**2 + 755 = 0.
-16
Suppose -7*j + 156 + 82 = 0. Let u = -32 + j. Factor -u - 7*s**2 + 2 + 4*s**2 - s**4 - 4*s**3.
-s**2*(s + 1)*(s + 3)
Let m(t) = 2*t + 1 + 1 + 0 - 3*t. Let b be m(-1). Suppose -4*l**2 - 2511 + 2511 + 4*l**b = 0. Calculate l.
0, 1
Factor 0 + 84/5*r - 86/5*r**2 + 2/5*r**3.
2*r*(r - 42)