*3 = 0 for w.
-7, 1
Let s = -3077/18 + 171. Let i(m) be the second derivative of -6*m + 0 + 0*m**3 + 0*m**2 - 1/20*m**5 - 1/90*m**6 - s*m**4. Solve i(h) = 0.
-2, -1, 0
Let p(w) be the third derivative of w**6/1140 + 49*w**5/285 + 208*w**4/19 + 1536*w**3/19 + 5*w**2 - 337*w. Factor p(u).
2*(u + 2)*(u + 48)**2/19
Let -833 - 3*r**2 - 21*r**3 + 282*r + 594 + 599 - 6*r**2 = 0. Calculate r.
-3, -10/7, 4
Suppose -26*s + 51355 = 13135. Let q = 1470 - s. What is k in -1/4*k**2 + 1/6*k + 1/12*k**3 + q = 0?
0, 1, 2
Let u(r) be the second derivative of -r**5/30 + 31*r**4/18 - 299*r**3/9 + 845*r**2/3 - 563*r. Factor u(z).
-2*(z - 13)**2*(z - 5)/3
Factor 1/9*p**3 + 8/9*p**2 - 12 - 7/3*p.
(p - 4)*(p + 3)*(p + 9)/9
Find c such that 32/3 + 10/3*c**3 - 56/3*c + 1/3*c**5 + 20/3*c**2 - 7/3*c**4 = 0.
-2, 1, 2, 4
Let x(q) be the second derivative of -16/21*q**2 + 0 + 8/63*q**3 - 209*q - 1/126*q**4. Solve x(m) = 0 for m.
4
Factor -1/7*t**2 - 1687567 - 982*t.
-(t + 3437)**2/7
Let z be ((-3)/9 + 1)/(38/1083). Let 28 - 17*u - 10*u - 2*u**2 - z*u + 72*u = 0. What is u?
-1, 14
Let v(j) = j**2 - 17*j - 914. Let w be v(-23). Let y(b) be the first derivative of w + 1/15*b**3 + 1/10*b**2 - 2/5*b. What is q in y(q) = 0?
-2, 1
Let z(d) be the first derivative of 0*d - 45*d**4 - 1/8*d**6 + 21/5*d**5 + 100*d**3 + 750*d**2 - 227. Factor z(i).
-3*i*(i - 10)**3*(i + 2)/4
Let v(p) be the second derivative of p**7/84 - 3*p**6/20 + 3*p**5/20 + 7*p**4/3 - 2*p - 1893. Factor v(o).
o**2*(o - 7)*(o - 4)*(o + 2)/2
Suppose -9*m = -5*x - 8*m + 282, -m - 2 = 0. Suppose 49*j - x = 42. Solve -8*r + 4/3*r**5 + 14/3*r**3 + 28/3*r**j - 16/3 - 6*r**4 = 0.
-1, -1/2, 2
Let s(y) be the second derivative of -1849/147*y**7 - 127*y - 559/35*y**6 + 239/6*y**4 + 4/7*y**2 + 2017/70*y**5 - 8*y**3 + 0. Find g such that s(g) = 0.
-1, 2/43, 1
Let l(j) be the second derivative of j**4/6 - 13*j**3 + 108*j**2 - 37*j - 10. Find n, given that l(n) = 0.
3, 36
Suppose -19/2*a**2 + 1/2*a**4 - 1/10*a**3 - 167/10*a - 39/5 = 0. Calculate a.
-3, -1, 26/5
Let a(w) be the first derivative of 73 + 32/7*w - 15/7*w**2 - 2/21*w**3. Solve a(v) = 0 for v.
-16, 1
Let r be ((-7887)/2151)/((-22)/18). Find b such that 9/4*b**r + 0 + 3/8*b**5 + 3*b**4 - 15*b**2 + 75/8*b = 0.
-5, 0, 1
Let g = 1007 + -1004. Let u(n) be the first derivative of 15*n**2 - 5/2*n**4 + 1/2*n**5 - 5/3*n**g + 45/2*n - 9. Determine h so that u(h) = 0.
-1, 3
Let r be (31 - 18)*(2/13 + 0/(-7)). Let o(s) be the second derivative of 0*s**3 + 1/6*s**r + 0*s**5 + 0 - 1/18*s**4 + 1/90*s**6 + 9*s. Let o(f) = 0. What is f?
-1, 1
Determine o so that 832 + 30*o**2 - 9*o - 63*o + 26*o**2 - 84*o**2 + 24*o**2 = 0.
-26, 8
What is m in 6800/9*m + 1/9*m**4 - 34/9*m**3 + 40000/9 - 37/3*m**2 = 0?
-8, 25
Suppose 5*l + 108 - 108 = 0. Suppose -71*d + 57*d = l. Factor 25/4*h + d + 1/4*h**3 + 5/2*h**2.
h*(h + 5)**2/4
Let x = -1/342773 + 6855467/2399411. Solve 2*u - 6/7*u**5 + 20/7*u**4 + 0 - 8/7*u**3 - x*u**2 = 0.
-1, 0, 1, 7/3
Let o = -20257/130 - -4145/26. Let p be (108/(-75))/((-2)/10). Let -4/5 + o*y**5 - 8/5*y**3 - 2*y + p*y**2 - 32/5*y**4 = 0. Calculate y.
-1, -2/9, 1
Let t = -2/579 - -589/2895. Let x(p) be the first derivative of 0*p - 3/5*p**2 - 6 - t*p**3 + 3/20*p**4. Factor x(r).
3*r*(r - 2)*(r + 1)/5
Let r(z) be the third derivative of z**6/270 + 7*z**5/45 - 68*z**4/27 - 104*z**3/9 + 17*z**2 + 8*z. Factor r(u).
4*(u - 6)*(u + 1)*(u + 26)/9
Let t(m) be the second derivative of -1/100*m**5 + 0 - 3/40*m**4 - 23/2*m**2 - 9*m + 0*m**3. Let v(w) be the first derivative of t(w). Let v(h) = 0. What is h?
-3, 0
Solve 1599/4*u**2 + 0 + 0*u - 3/4*u**3 = 0 for u.
0, 533
Let c = 1969/2954 - 5/211. Let f(d) be the third derivative of -17*d**2 + c*d**3 + 0*d + 1/140*d**5 - 3/28*d**4 + 0. Factor f(t).
3*(t - 3)**2/7
Let o(c) be the third derivative of -c**7/2520 + c**6/360 + 17*c**4/12 - 8*c**2. Let h(k) be the second derivative of o(k). Factor h(d).
-d*(d - 2)
Suppose -2*g = -48 - 18. Factor -70*z + 20*z**3 - 5*z**4 + 14 - 7 + g + 15*z**2.
-5*(z - 4)*(z - 1)**2*(z + 2)
Let k(o) be the third derivative of o**7/2520 - 3*o**5/40 - o**4/4 + o**3 + 38*o**2. Let m(p) be the second derivative of k(p). Factor m(j).
(j - 3)*(j + 3)
Find i, given that 3/4*i - 4*i**2 + 13/4*i**3 + 0 = 0.
0, 3/13, 1
Let 0 + 1/2*n**3 - 130*n**2 + 8450*n = 0. What is n?
0, 130
Let a(b) be the third derivative of 0*b - 10/3*b**4 + 0 + 1/10*b**5 - 28/3*b**3 - 141*b**2. Let a(v) = 0. Calculate v.
-2/3, 14
Let z(x) = 2*x**3 - x**2 + x - 1. Let b = -131 + 137. Let v(u) = -22*u**3 + 38*u**2 - 40*u + 18. Let a(o) = b*z(o) + v(o). Factor a(i).
-2*(i - 1)**2*(5*i - 6)
Suppose u + 5*x - 19 = 0, -3*u - x + 82 = -31. Determine s, given that u*s**4 + 5*s**5 - 59*s**4 - 5*s**2 + 25*s**4 - 5*s**3 = 0.
-1, 0, 1
Let r(m) be the third derivative of -315*m**2 - 1/42*m**7 - 5/6*m**3 + 5/336*m**8 + 0*m - 1/12*m**6 + 5/24*m**4 + 0 + 1/6*m**5. Factor r(s).
5*(s - 1)**3*(s + 1)**2
Let j = 253 - 251. Determine a, given that 1134*a**2 - 4498*a**j + 1463 - 928*a - 734 - 793 = 0.
-4/29
Suppose v - 93*q + 12 = -96*q, -4*v = 5*q + 20. Let w(k) be the second derivative of v + 1/4*k**3 + 0*k**2 + 13*k - 3/40*k**5 + 0*k**4. Factor w(y).
-3*y*(y - 1)*(y + 1)/2
Let g(h) = 11*h**2 + 67*h - 78. Let z(q) be the first derivative of 9*q**3 + 84*q**2 - 195*q - 27. Let b(o) = 12*g(o) - 5*z(o). Factor b(k).
-3*(k - 1)*(k + 13)
Let u(k) = -4*k + 13. Let q be u(0). Let x(s) = -q*s + 11*s + 3*s. Let z(m) = -2*m**2 - 8*m - 50. Let g(p) = -12*x(p) + z(p). Factor g(v).
-2*(v + 5)**2
Let j(z) be the second derivative of z**6/10 + 291*z**5/20 - z**4/4 - 97*z**3/2 - 1578*z. Determine f so that j(f) = 0.
-97, -1, 0, 1
Let x(u) = 162*u**2 + 300*u - 1108. Let v(z) = 22*z**2 + 43*z - 158. Let c(g) = -44*v(g) + 6*x(g). Solve c(k) = 0.
4, 19
Let q(n) be the first derivative of -n**7/840 - 7*n**6/360 - n**5/12 + 16*n**3/3 - 129. Let v(j) be the third derivative of q(j). Factor v(p).
-p*(p + 2)*(p + 5)
Let 2/15*c**2 + 1397792/15 + 3344/15*c = 0. Calculate c.
-836
Let w be 100/(-4) + -4 - (-72)/18. Let h = w - -27. Determine g so that 0*g**h - 2/7*g**3 + 0 + 2/7*g = 0.
-1, 0, 1
Find z, given that 158409*z + 0*z**2 - 141 + 366 - 5*z**2 - 158189*z = 0.
-1, 45
Let v(g) be the second derivative of g**4/102 + 77*g**3/51 - 723*g. Suppose v(d) = 0. Calculate d.
-77, 0
Let w = 3641585/2 + -1820792. Factor -w*g**2 - 3*g - 9/2.
-(g + 3)**2/2
Let q(b) be the third derivative of -b**7/1365 - b**6/52 + 12*b**5/65 - 19*b**4/39 + 438*b**2. Let q(w) = 0. Calculate w.
-19, 0, 2
Let v(h) be the third derivative of -h**2 + 1/360*h**6 - h - 8*h**3 + 0 + 7/3*h**4 - 5/36*h**5. Determine s, given that v(s) = 0.
1, 12
Let n = 226 + -224. Solve -70 + 26*k**2 + 18*k**n - 9*k**2 - 235*k = 0.
-2/7, 7
Let s = 8831/9752 - 342/1219. Determine x, given that 1/2 + s*x + 1/8*x**2 = 0.
-4, -1
Let o = 19 - -2. Suppose -o*j - 96 = -27*j. Determine a, given that 5*a + 3*a + 3*a**4 - 9 + j*a + 5*a**2 - 23*a**2 = 0.
-3, 1
Let z = -584/355 - -8623/710. Let -99/2*s**3 + 99/2*s - 51/2*s**2 + z*s**4 + 15 = 0. What is s?
-1, -2/7, 1, 5
Let h = 128/2895 + 42913/11580. Solve 4 + 1/4*q**4 + 15/4*q - 17/4*q**2 - h*q**3 = 0.
-1, 1, 16
Suppose 0*k + 186 = 4*k + 2*g, -4*k + 171 = -g. Suppose 5*h + f = 42 - 4, 3*f = -5*h + k. Let 7*p**3 + 6*p**2 - h*p**3 + 3*p + 3*p**3 = 0. Calculate p.
-1, 0
Suppose 0 = -c - 4*t + 6, 0 = 89*t - 86*t - 3. Let b(r) = -r + 4. Let v be b(c). Find i such that -1/2*i**5 + 0 + 3*i**4 - 2*i + 6*i**v - 13/2*i**3 = 0.
0, 1, 2
Suppose -2*g + 9*g = 6377. Let v = -8185/9 + g. Factor 20/9 - 74/9*y + v*y**2.
2*(y - 5)*(7*y - 2)/9
Factor -106*g**2 - 136*g**2 - 11*g - 522 - 29*g + 244*g**2.
2*(g - 29)*(g + 9)
Let d be (-2)/(-6) - (-6)/(180/6650). What is w in 24 - 437*w**3 - 342*w**3 + 667*w**3 - 152*w + 18*w**4 + d*w**2 = 0?
2/9, 1, 2, 3
Let m(t) = -12*t + 159. Let d be m(13). Suppose d*b**5 + 472*b**2 - 472*b**2 + 3*b**3 - 10*b**4 = 0. Calculate b.
0, 1/3, 3
Let d(x) be the first derivative of -x**4/12 + x**3 + 8*x**2/3 - 48*x - 4091. Find v such that d(v) = 0.
-4, 4, 9
Let l be (-279)/2046*990/(-81). Factor -l + 1/9*r**2 + 14/9*r.
(r - 1)*(r + 15)/9
Let y = -165706 + 165706. Solve -2*v**2 + 8/7 - 2/7*v**3 + 6/7*v**4 + 2/7*v**5 + y*v = 0.
-2, -1, 1
Suppose 4*z + 3*s + 23 = -33, -42 = 3*z - 2*s. Let g be ((-1