*5/40 - 495*v**4/32 - 81*v**3/2 + 2624*v**2. Factor b(u).
-3*(u - 9)**2*(7*u + 4)/4
Let i(s) be the first derivative of -2*s**3/45 + 58*s**2/15 + 2049. What is w in i(w) = 0?
0, 58
Let u(d) be the third derivative of d**5/12 - 2155*d**4/8 - 3235*d**3/3 + 198*d**2 + 10. Determine i so that u(i) = 0.
-1, 1294
Let b(t) be the first derivative of t**5/70 + 5*t**4/42 - t**3/21 - 5*t**2/7 - 29*t - 81. Let g(p) be the first derivative of b(p). Let g(h) = 0. Calculate h.
-5, -1, 1
Let n = -21 - -30. Suppose 0 = 2*i - 9 - n. What is x in -x**2 + 3*x - 3*x + 4*x**2 - 6*x - i = 0?
-1, 3
Let u = -11 + 12. Suppose t - 4*a = -5, -2*t = t - 5*a + u. Factor -2*r + 3*r**4 + 3*r**t - 104*r**2 + 101*r**2 - r.
3*r*(r - 1)*(r + 1)**2
Let s(o) = -2*o - 24. Let z be s(-13). Find t, given that t**z - 346*t - 17*t**2 + 342*t = 0.
-1/4, 0
Let p = 163 + -74. Let o = -86 + p. Find c such that o*c**2 - 20*c + 16*c - 4 + 13*c**3 - 12*c + 4*c**4 = 0.
-2, -1/4, 1
Let q = 503 + -483. Suppose 12 = -y - 3*t, -2*t = 4*y - 7*t - q. Factor -5/6*a + 5/3*a**2 + 5/6*a**5 + y + 0*a**3 - 5/3*a**4.
5*a*(a - 1)**3*(a + 1)/6
Let n(q) be the third derivative of q**7/4200 + q**6/600 + 3*q**4/4 + 22*q**2. Let r(i) be the second derivative of n(i). Factor r(w).
3*w*(w + 2)/5
Factor 6*o**3 - 3665*o + 21*o**2 - 3637*o + 7323*o + 6.
3*(o + 1)*(o + 2)*(2*o + 1)
Let m(o) be the first derivative of -6/55*o**5 + 6/11*o**3 + 4/11*o - 70 + 1/22*o**4 - 9/11*o**2. What is u in m(u) = 0?
-2, 1/3, 1
Let z(a) = -4*a**2 - a. Let c(f) = -30*f**2 + 42*f - 372. Let h(i) = -c(i) + 8*z(i). Factor h(x).
-2*(x - 6)*(x + 31)
Let y(b) be the third derivative of -b**5/210 + 17*b**4/21 - b**2 - 481*b - 1. Determine n, given that y(n) = 0.
0, 68
Let k be ((-861)/(-164))/(45/726). Let v = k - 401/5. Let 12*w**3 + v*w**5 + 33/2*w**4 + 0*w - 6*w**2 + 0 = 0. Calculate w.
-2, 0, 1/3
Factor 1/6*o + 275/6*o**2 - 1/6*o**3 - 275/6.
-(o - 275)*(o - 1)*(o + 1)/6
Let i be (-6 - -1)/(-30)*30. Let x be (-384)/(-448)*(-2 - (-17)/i). Let -1/5 - 4/5*b**3 - 9/5*b**2 - x*b = 0. Calculate b.
-1, -1/4
Let b(s) be the second derivative of -s**4/54 + 197*s**3/27 - 196*s**2/9 + 1446*s. Factor b(l).
-2*(l - 196)*(l - 1)/9
Suppose 3483*l - 3488*l - 10 = -5*o, 0 = 5*o - 4*l - 12. Let 6 + 29/2*s + 1/2*s**3 + 10*s**2 - s**o = 0. Calculate s.
-3/2, -1, 4
Suppose -k - 4*f - 172 = 0, -4*k = -k + 3*f + 480. Let a be k/(-117) + 20/18. Determine z so that 2*z**3 + a*z + 4/3 + 14/9*z**4 - 22/3*z**2 = 0.
-3, -2/7, 1
Let s(i) be the third derivative of -i**5/180 - 89*i**4/24 - 811*i**2. Determine g so that s(g) = 0.
-267, 0
Let q = 376501/2 - 188249. Factor -3*r**3 - 3*r**4 - 21/2*r + 12*r**2 + 3 + q*r**5.
3*(r - 1)**4*(r + 2)/2
Let c(s) be the first derivative of s**4/8 - 31*s**3/12 - 53*s**2/8 + 17*s/2 + 702. Let c(k) = 0. What is k?
-2, 1/2, 17
Let g(h) be the third derivative of -13*h**7/42 - 245*h**6/12 + 38*h**5/3 - 1495*h**2 - 1. Factor g(a).
-5*a**2*(a + 38)*(13*a - 4)
Suppose -5*t**3 + 75990*t + 34*t**2 + 71*t**2 - 200 - 76080*t = 0. What is t?
-1, 2, 20
Suppose -3*t - 18 = 0, -4*l - 77*l + 4*t + 414 = 66. Solve 36/7*i**3 + 8/7*i - 33/7*i**2 - 4/7*i**l + 0 = 0 for i.
0, 1/2, 8
Determine m, given that -1/6*m**3 - 193/3*m - 131/6*m**2 - 128/3 = 0.
-128, -2, -1
Let i(v) be the third derivative of v**7/560 - 587*v**6/320 - 3*v**5/160 + 1759*v**4/64 + 587*v**3/8 - 25*v**2 + 2*v - 1. Suppose i(r) = 0. Calculate r.
-1, 2, 587
Let u(t) be the second derivative of t**5/100 - 33*t**4/20 + 689*t**3/10 + 19663*t**2/10 - 3*t + 345. Factor u(m).
(m - 53)**2*(m + 7)/5
Let t = -3763571/2 + 1881786. Solve -21/2*h**2 - 19/2 + t*h**3 + 39/2*h = 0.
1, 19
Let o = 253 + -378. Let h = o + 125. Factor h*s + 4/9*s**3 + 0 + 2/9*s**2 + 2/9*s**4.
2*s**2*(s + 1)**2/9
Suppose -5*r - 2*n = -6 - 2, -4*r = 4*n - 4. Factor r*h**2 + 7*h + 7*h**2 - 12*h**4 - h - 3*h.
-3*h*(h - 1)*(2*h + 1)**2
Let i = -47 - -55. Suppose i = 4*x + 4*f, -3*x = -3*f + 2*f - 10. Factor 0*a**5 - 10*a**3 + 2*a**2 - a**4 + 12*a**x + 0*a - a**5 - a - 1.
-(a - 1)**2*(a + 1)**3
Let w(m) be the second derivative of 3*m**5/20 + 16*m**4/3 + 211*m**3/6 - 85*m**2 - 5*m - 25. Determine q so that w(q) = 0.
-17, -5, 2/3
Suppose 360 - 34*s**2 + 25*s**3 - 900*s + 114*s**2 - 41*s**2 - 49*s**2 = 0. Calculate s.
-6, 2/5, 6
Suppose 2 = 3*l - 5*w, 115*l - 5*w + 52 = 118*l. Suppose -l*h = -28*h + 38. Suppose -1/3*v**h - 10/3*v - 25/3 = 0. Calculate v.
-5
Let m(v) be the second derivative of 19*v - 105/8*v**3 - 147/2*v**2 - 9/8*v**4 - 3/80*v**5 + 1. Let m(s) = 0. Calculate s.
-7, -4
Let p(t) = -2*t**3 - 190*t**2 + 195*t + 290. Let c be p(-96). Factor -2/15*k**4 + 8/15*k + 8/15*k**3 - 4/5*k**c - 2/15.
-2*(k - 1)**4/15
Let y = -201375/4 - -50548. What is f in -4*f + 0 + 1083/4*f**4 + 50*f**2 - y*f**3 = 0?
0, 4/19, 1/3
Factor 8*p - 3*p**2 - 13*p - 8*p + 2*p**2 - 18*p - 30.
-(p + 1)*(p + 30)
Suppose 7*v - 11*v = -80. Solve 864*q**2 - 3 - 12*q**3 - 14 + v*q - 7 - 832*q**2 = 0.
-1, 2/3, 3
Factor 6821/8*q**2 - 1/8*q**5 - 41/8*q**4 + 5054*q - 54872 - 235/8*q**3.
-(q - 8)**2*(q + 19)**3/8
Let m be 3*(-12)/(-30)*(-20)/(-8). Factor -m*z - 35*z**4 + 6*z + 2*z**3 + 34*z**4 + 3*z**3 - 7*z**2.
-z*(z - 3)*(z - 1)**2
Suppose 0 = -3883*x + 3912*x - 87. Factor 0 + 2/9*j**x + 0*j + 8/3*j**2.
2*j**2*(j + 12)/9
Let g(w) be the first derivative of 10/9*w**3 + 0*w + 93 - 5/6*w**4 + 1/3*w**6 - 2/3*w**5 + 2/3*w**2. Find j, given that g(j) = 0.
-1, -1/3, 0, 1, 2
Let r(f) be the first derivative of 2/27*f**3 + 87 + f**2 + 28/9*f. Factor r(l).
2*(l + 2)*(l + 7)/9
Let h be (2*(-33)/42 + 1)*(-1862)/57. Factor 64/3 - 124/3*u + 4/3*u**3 + h*u**2.
4*(u - 1)**2*(u + 16)/3
Let u(o) be the third derivative of -o**7/70 + 7*o**6/10 - 53*o**5/20 + 13*o**4/4 + 1914*o**2. Let u(a) = 0. Calculate a.
0, 1, 26
Let k = 58 - 54. Suppose -2*a + k*b = 2 + 2, 2*a = -2*b + 8. Suppose -160 + a*j**2 + 160 + 6*j = 0. Calculate j.
-3, 0
Suppose -2*o + 10 = -4*q + 5*q, -2*q + o = -20. Let j be 54/q + ((-68)/20 - -3). What is k in 2/3*k**3 + 0 + 4/9*k**2 + 0*k**4 - 2/9*k**j + 0*k = 0?
-1, 0, 2
Let w(j) be the first derivative of 1/2*j**5 + 0*j - 9 + 1/24*j**6 - j**2 + 5/2*j**4 + 20/3*j**3. Let q(u) be the second derivative of w(u). Factor q(n).
5*(n + 2)**3
Let v = 241773/2 + -120886. What is u in -v*u**2 - 1/4*u**5 + 1/2*u**4 + 0*u + 0 + 1/4*u**3 = 0?
-1, 0, 1, 2
Let t = -14475353/2 + 7237678. Let f = 107 - 425/4. Factor t + 0*s**2 - 9/4*s + f*s**3.
3*(s - 1)**2*(s + 2)/4
Let g(x) be the third derivative of -1/780*x**6 - 5/52*x**4 - 7/390*x**5 - 3/13*x**3 + 0*x + 0 - 36*x**2. Factor g(c).
-2*(c + 1)*(c + 3)**2/13
Let s(f) be the first derivative of -f**6/10 + 39*f**5/25 + 93*f**4/20 - 13*f**3/5 - 9*f**2 - 180. Determine k so that s(k) = 0.
-2, -1, 0, 1, 15
Let k(c) be the first derivative of -c**6/3 - 478*c**5/5 + 483*c**4 - 2908*c**3/3 + 971*c**2 - 486*c - 1361. Let k(s) = 0. Calculate s.
-243, 1
Find y such that 270*y**3 - 127*y + 5*y**5 - 120*y**2 - 73*y - 65*y**4 - 5*y**2 + 364 + 116 - 215*y**2 = 0.
-1, 2, 4, 6
Let g(q) be the second derivative of q**4/42 - 990*q**3/7 + 2205225*q**2/7 - 1322*q + 2. Suppose g(k) = 0. What is k?
1485
Suppose 57*q = 174 - 60. Find l such that 44/9*l**3 + 0*l**q - 2*l**4 + 0 + 2/9*l**5 - 64/9*l = 0.
-1, 0, 2, 4
Let k(u) be the third derivative of -u**8/560 - 8*u**7/175 + 21*u**6/40 - 1353*u**2. Factor k(i).
-3*i**3*(i - 5)*(i + 21)/5
Suppose -41 = -6*w + 85. Let u = 23 - w. Factor -6*k**u + 6*k**2 - 5*k**3 + 6*k**4 - k**4.
5*k**3*(k - 1)
Let s = 22236 - 39113132/1759. Let r = s + 225192/8795. Solve -2/5*y**2 - 32/5*y - r = 0.
-8
Let o(x) be the first derivative of -20*x**2 + 36*x - 39. Let i(k) = -k**2 - k + 1. Let j(h) = 4*i(h) - o(h). Factor j(r).
-4*(r - 8)*(r - 1)
Let h be (3 - -2) + (7 - 1). Let d be (-4 + h)*(-200)/(-196). Factor 20/7*i + 2/7*i**2 + d.
2*(i + 5)**2/7
Let h(f) = -17*f**3 + 202*f**2 + 22*f + 27. Let r be h(12). Factor 1/3*v**4 + v**r - v + 0 - 1/3*v**2.
v*(v - 1)*(v + 1)*(v + 3)/3
Let k be -5 - ((-90)/27)/((-6)/(-27)). Let x be 80/24*(-3 + 36/k). Let -x*g**4 - 4/3*g**2 + 0 + 0*g - 14/3*g**3 = 0. What is g?
-2, -1/3, 0
Let h be (-154)/(-600) - (4 - 3)*(-5)/(-20). Let n(u) be the third derivative of h*u**5 + 16*u**2 + 1/600*u**6 + 0*u - 1/30*u**4 - 4/15*u**3 + 0. Factor n(i).
(i - 2)*(i + 2)**2/5
Let c(p) be the first deriva