 j so that u(j) = 0.
0, 2/7, 7
Let y = 386 + -395. Let w be -7 + 5 + (-24)/y. Find v such that -w*v + 2 + 4/3*v**3 - 2/3*v**5 + 2*v**4 - 4*v**2 = 0.
-1, 1, 3
Let s be -1 + (-55)/(-5) + 155/(17050/(-1056)). Let 4/5*b**3 + 0 - s*b**2 + 0*b - 2/5*b**4 = 0. What is b?
0, 1
Let v(h) = -80*h**3 - 395*h**2 + 80*h + 400. Let k(b) = 79*b**3 + 394*b**2 - 79*b - 400. Let w(g) = -5*k(g) - 6*v(g). Find z such that w(z) = 0.
-80/17, -1, 1
Suppose -4*t - 417 = -5*t. Let w be (-1 - t/6)*4/(-6). Factor 2 - 55*p**2 - w + 95*p + 7*p**3 - 2*p**3.
5*(p - 9)*(p - 1)**2
Let c(q) = -10*q**2 + 972*q - 977. Let x(t) = 8*t**2 - 976*t + 978. Let f(w) = 2*c(w) + 3*x(w). Factor f(k).
4*(k - 245)*(k - 1)
Let r(v) be the first derivative of -2*v**3/21 + 1035*v**2/7 - 2068*v/7 + 1070. Let r(c) = 0. What is c?
1, 1034
Let v(x) be the second derivative of 5/12*x**4 + 5/2*x**2 - 5/3*x**3 + 0 + 23*x. Determine o so that v(o) = 0.
1
Let t(s) be the second derivative of 3/4*s**3 + 0 - 5/2*s**2 + 1/24*s**4 - 55*s. Factor t(h).
(h - 1)*(h + 10)/2
Let p(f) be the second derivative of f**7/189 - f**6/15 - 16*f**5/15 + 310*f**4/27 + 800*f**3/9 - 3708*f - 1. Let p(d) = 0. What is d?
-8, -3, 0, 10
Let k(p) = -p**3 + 11*p**2 - 10*p + 3. Let t be k(10). Suppose -3*g - t = 4*u, -17 = -3*g + u - 5. Factor -2*f**2 - 3*f**g + 0*f**3 + 15*f**4 - 16*f**4.
-f**2*(f + 1)*(f + 2)
Factor 6*k**3 - 53 + 135*k**2 + 32 - 11*k**3 + 21.
-5*k**2*(k - 27)
Suppose 92*i + 10393 = 5303 + 5458. Suppose i*u**2 + 27/5*u + 3/5*u**3 + 2 = 0. What is u?
-5, -1, -2/3
Let k(x) be the first derivative of 2*x**3/39 - 133*x**2/13 + 1859. Factor k(i).
2*i*(i - 133)/13
Suppose 3*m + 9 = 2*w, 2*w - w = 5*m + 8. Factor -2*n**3 - n**w - 15*n**5 - 14*n**5 + 50*n**5 - 6*n**2 - 18*n**5 + 6*n**4.
3*n**2*(n - 1)*(n + 1)*(n + 2)
Let q be 6/(-12) - 14/(-4). Factor -39*m**3 - 30*m**4 - 2*m**5 + 2*m**5 + 2*m**5 + 121*m**q - 98*m**2 + 44*m**3.
2*m**2*(m - 7)**2*(m - 1)
Let o = 74 - 63. Factor -2*l**3 + 1 - 7*l + l**5 - 2*l**2 + o*l**4 - 10*l**4 + 8*l.
(l - 1)**2*(l + 1)**3
Let u(f) = f**4 - f + 2. Let v(s) = 2 - 1048*s**2 + 1058*s**2 - 4 + s**4 + 5*s + 8*s**3. Let o(a) = -2*u(a) - 2*v(a). Solve o(q) = 0.
-2, -1, 0
Let k(y) be the first derivative of -2*y**3/57 + 492*y**2/19 - 121032*y/19 - 1513. Let k(n) = 0. What is n?
246
Suppose x - 1 - 11 = 0. Factor 76*r**4 + x*r**3 + 2*r - 73*r**4 + 24 - 32*r - 9*r**2.
3*(r - 1)**2*(r + 2)*(r + 4)
Factor -10*j**3 + 0 + 61/3*j + 1/6*j**4 - 21/2*j**2.
j*(j - 61)*(j - 1)*(j + 2)/6
Let f(c) be the third derivative of 1/690*c**5 + 4*c**2 + 20*c + 147/23*c**3 + 0 - 7/46*c**4. Solve f(h) = 0 for h.
21
Let l = 21 + 1407. Let s = l - 1424. Factor -12/7*p - 1/7*p**s - 4/7 - 13/7*p**2 - 6/7*p**3.
-(p + 1)**2*(p + 2)**2/7
Let -70/3*d**4 - 1566 - 1/3*d**5 - 1080*d**2 - 2115*d - 250*d**3 = 0. Calculate d.
-58, -3
Let m(s) be the third derivative of s**7/1365 - s**6/52 + 11*s**5/78 + 5*s**4/52 - 56*s**3/39 - 671*s**2. Determine o so that m(o) = 0.
-1, 1, 7, 8
Let m be 108/(-561)*2629/(-478). Find k, given that 0 - 2/17*k - m*k**3 + 12/17*k**2 + 8/17*k**4 = 0.
0, 1/4, 1
Let j(v) be the third derivative of v**11/66528 - v**9/12096 + 13*v**5/12 + 2*v**2 - 1. Let g(x) be the third derivative of j(x). Suppose g(u) = 0. Calculate u.
-1, 0, 1
Find f such that -566*f**2 + 4557*f - f**3 - 4461*f + 260*f**2 + 285*f**2 + 2816 = 0.
-16, 11
Let c(y) be the first derivative of 49*y**5 - 791*y**4/4 + 218*y**3 - 50*y**2 - 8*y + 292. Suppose c(k) = 0. What is k?
-2/35, 2/7, 1, 2
Let 9*w**4 - 528*w**3 + 72*w**4 + 17*w**4 - 167*w**4 + 9*w**5 + 84*w**3 + 432*w - 324*w**2 = 0. Calculate w.
-3, -2, 0, 2/3, 12
Let b(v) be the third derivative of -v**6/420 + v**5/70 + 23*v**4/42 + 24*v**3/7 - 1531*v**2 + 2*v. Solve b(a) = 0 for a.
-4, -2, 9
Let u(w) = w**2 - 22*w + 44. Let r be u(20). Suppose -4*n = 2*p, r*p - 2*p = 0. Determine t so that 0*t**2 - t**3 + 14*t**2 - 49*t + n*t**2 = 0.
0, 7
Determine k so that 0 + 86/7*k**3 - 8/7*k**5 + 0*k - 106/7*k**4 + 4*k**2 = 0.
-14, -1/4, 0, 1
Determine o so that -5*o**3 - 442*o**2 - 12524*o + 744*o**2 - 240100 + 653*o**2 - 30596*o = 0.
-5, 98
Let h(q) be the first derivative of 1/6*q**4 + 198 - 74/9*q**3 - 578*q + 391/3*q**2. Suppose h(i) = 0. What is i?
3, 17
Let c = 12004/5 + -2400. Let w be (-44)/(-11)*1/5. Factor 0 - w*u**3 - c*u**2 + 8/5*u.
-4*u*(u - 1)*(u + 2)/5
Let c(h) = 30*h - 2 - 24*h + 4 + h**2. Let b be c(-6). Factor j**4 - 2*j**4 - 32*j + 3*j**3 + 33*j + 0*j**4 - 3*j**b.
-j*(j - 1)**3
Let g = 9518 + -9515. Suppose -5/6*o**g + 0 - 1/3*o**2 + 1/2*o = 0. Calculate o.
-1, 0, 3/5
Let w be (11 - (-183)/(-15))*20/(-3). Factor -y + w*y + 22*y + 7*y**2 - y**3 + 21*y**2.
-y*(y - 29)*(y + 1)
Suppose 18 + 24 = 3*v. Suppose -6 - 12 + v*s**2 - 5*s**2 - 6*s**2 - 3*s = 0. Calculate s.
-2, 3
Let h(l) be the first derivative of -129 + 2/39*l**3 + 2/13*l**2 + 0*l. Let h(o) = 0. Calculate o.
-2, 0
Let j be 322/1449*(-2)/3*(0 - (-6)/(-4)). What is g in 0*g**2 - 2/3*g + j*g**3 + 4/9 = 0?
-2, 1
Let u(k) be the first derivative of k**3/3 - 9*k**2/2 + 20*k + 7. Let d be u(6). Factor -2/3*y**2 + 0 - d*y.
-2*y*(y + 3)/3
Solve -9/8*x**5 + 179/2*x**3 - 57/4 - 595/8*x - 33/2*x**4 - 253/4*x**2 = 0 for x.
-19, -1/3, 2, 3
Let z(l) be the first derivative of l**6/72 + 7*l**5/12 - 25*l**4/8 + 109*l**3/3 + 37. Let t(h) be the third derivative of z(h). Factor t(r).
5*(r - 1)*(r + 15)
Let j(d) = -20*d**3 + 12*d**2 - 24*d - 40. Let l(v) = -v**3 - v - 1. Let a be (-4)/1 - 5/(35/(-21)). Let r = 12 - -12. Let m(z) = a*j(z) + r*l(z). Factor m(u).
-4*(u - 1)*(u + 2)**2
Let m(o) be the first derivative of -46*o**2 + 20*o**3 + 49/5*o**5 + 217/4*o**4 + 16*o + 26. Suppose m(p) = 0. What is p?
-4, -1, 2/7
Let b(v) be the third derivative of -v**6/1200 - v**5/75 + v**4/240 + 2*v**3/15 + 5*v**2 + 224*v. Factor b(n).
-(n - 1)*(n + 1)*(n + 8)/10
Let f(h) = -12*h**3 + 19*h**2 - 13*h - 5. Let o(b) = 45 - 90 + 44 + b**2 - b**3. Let j(q) = -4*f(q) + 44*o(q). What is k in j(k) = 0?
1, 6
Let n be (-40)/16*(-448)/560. Factor 12/5*w**3 + 3/5*w**4 + 0 + 12/5*w**n + 0*w.
3*w**2*(w + 2)**2/5
Factor 8239227*g - 11516*g**2 + 4*g**3 + 9301257 + 43653*g - 1006857.
4*(g - 1440)**2*(g + 1)
Let s(h) be the first derivative of -h**5/20 + 7*h**3/2 - 10*h**2 + 117*h - 132. Let x(c) be the first derivative of s(c). Factor x(y).
-(y - 4)*(y - 1)*(y + 5)
Let i = -12 - -15. Let t(u) be the first derivative of u**5 + 23*u**3 - 10*u**4 + 13 + 3*u**3 - 135*u + 4*u**i. Factor t(y).
5*(y - 3)**3*(y + 1)
Let u(x) be the third derivative of x**5/120 - 17*x**4/96 + 35*x**3/24 - 347*x**2. Factor u(q).
(q - 5)*(2*q - 7)/4
Let r(j) be the first derivative of -j**4/6 + 32*j**3/9 + 19*j**2 - 2188. Factor r(i).
-2*i*(i - 19)*(i + 3)/3
Let k(h) be the first derivative of h**4 - 52*h**3/3 + 100*h**2 - 224*h + 2058. Factor k(t).
4*(t - 7)*(t - 4)*(t - 2)
Determine d, given that -1296 + 1349*d - 552*d - 51*d**4 + 2264*d**5 + 307*d - 2261*d**5 + 345*d**3 + 840*d - 1161*d**2 = 0.
3, 4
Suppose 5*f - 18 = 2. Factor -35*x**3 + 7*x**5 + 3*x**5 - 5*x**5 - 20*x**2 + 2*x**f - 12*x**4.
5*x**2*(x - 4)*(x + 1)**2
Let 115/3*q**2 - 1/3*q**3 + 0 - 38*q = 0. Calculate q.
0, 1, 114
Let d(y) be the second derivative of 1/5*y**5 - 12*y**2 - 22/3*y**3 + 0 + 12*y - 4/3*y**4. Factor d(b).
4*(b - 6)*(b + 1)**2
Determine w, given that -2/9*w**2 - 3008/9 + 760/9*w = 0.
4, 376
Let q(w) = -2*w**2 - 14*w - 86. Let n(a) = -a**2 - 6*a - 44. Let z(l) = -11*n(l) + 6*q(l). Factor z(y).
-(y + 2)*(y + 16)
What is j in 1/3*j**3 + 1600/3 + 12*j**2 + 140*j = 0?
-16, -10
Let b(a) be the first derivative of a**6/18 - 29*a**5/5 + 673*a**4/4 - 5545*a**3/9 + 896*a**2 - 588*a - 4010. Factor b(s).
(s - 42)**2*(s - 1)**3/3
Factor -49*c + 1/3*c**2 + 146/3.
(c - 146)*(c - 1)/3
Let z = 371 + 856. Let b = z - 1224. Factor 7/6*s - 5/6*s**2 + 1/6*s**b - 1/2.
(s - 3)*(s - 1)**2/6
Let s(n) be the second derivative of -n**9/15120 - n**8/8400 - n**3/3 + 135*n**2/2 - 18*n. Let d(l) be the second derivative of s(l). Let d(b) = 0. What is b?
-1, 0
Factor 1/4*p**3 - 3*p**2 + 21/2 + 29/4*p.
(p - 7)*(p - 6)*(p + 1)/4
Determine n so that 0 + 7/5*n**5 - 4032/5*n**2 - 1296/5*n + 1832/5*n**3 + 48*n**4 = 0.
-18, -2/7, 0, 2
Let g(m) = m**3 + 3*m**2 - 9. Let p = -224 + 244. Let b(k) = -1. Let w(a) = p*b(a) - 4*g(a). Factor w(n).
-4*(n - 1)*(n