ven that t(p) = 0.
-6, -1/20, 4
Let m(g) = -g**3 + 6*g**2 - 4*g + 80. Let a be m(7). Suppose -5*q**4 + 87*q**a - 100 - 373*q**2 + 260*q + 36*q**2 + 112*q**2 - 17*q**3 = 0. What is q?
1, 2, 10
Let t(p) = 4*p + 129. Let k be t(-30). Factor 4*a**2 - 4*a**4 - 4*a**3 - a**5 + 17*a**5 - k*a**5 - 3*a**5.
4*a**2*(a - 1)**2*(a + 1)
Let f(w) = -w**3 - 30*w**2 - 55*w + 30. Let g be f(-28). Factor -1071*i**3 - 4*i + 1071*i**3 + 8*i**4 - 8*i**g + 4*i**5.
4*i*(i - 1)*(i + 1)**3
Let i(d) be the second derivative of d**6/15 + 49*d**5/5 + 46*d**4/3 - 482*d**3/3 + 291*d**2 + 303*d + 10. Find b, given that i(b) = 0.
-97, -3, 1
Let u(l) be the third derivative of 0*l + 1/20*l**6 + 0*l**5 - 1 - 1/70*l**7 + 0*l**4 + l**2 + 0*l**3. Solve u(k) = 0 for k.
0, 2
Let t be (8/(-10))/(1/(-5)) + 179950/(-45000). Let i(k) be the third derivative of 8*k**2 + 2/225*k**5 + 0*k**3 + 0 - t*k**6 + 0*k - 1/45*k**4. Factor i(v).
-2*v*(v - 2)**2/15
Determine h so that 302/9*h + 8/9*h**2 - 76/9 = 0.
-38, 1/4
Let k(d) be the first derivative of -d**5 - 435*d**4/4 - 2090*d**3/3 - 1650*d**2 - 1640*d + 9720. Factor k(l).
-5*(l + 1)*(l + 2)**2*(l + 82)
Let m(j) be the third derivative of -66724352*j**7/105 - 877952*j**6/15 - 11552*j**5/5 - 152*j**4/3 - 2*j**3/3 - 2*j**2 - 289. Find u, given that m(u) = 0.
-1/76
Determine t so that 252/11*t**2 + 1/11*t - 252/11 - 1/11*t**3 = 0.
-1, 1, 252
Let l(g) be the first derivative of g**6/27 + 44*g**5/45 + 37*g**4/18 - 136*g**3/27 - 164*g**2/9 - 160*g/9 + 5180. Solve l(r) = 0 for r.
-20, -2, -1, 2
Let l = -196052 + 196056. Solve 0 - 14/5*s**3 - 2/5*s**l - 6*s**2 - 18/5*s = 0.
-3, -1, 0
Let x = 87/44 - 5/22. Let q be -3*15/(-126)*3157/902. Suppose x*w**2 + q - 1/4*w**3 - 11/4*w = 0. Calculate w.
1, 5
Let c(g) be the third derivative of -g**5/180 + 25*g**4/72 - 77*g**3/9 + 2*g**2 - 51*g. Determine q so that c(q) = 0.
11, 14
Let s = 89 + -30. Suppose 7*m - 25 = s. Suppose 14*u - 3*u**2 - 6*u**2 + m + 9*u**2 - 2*u**3 = 0. What is u?
-2, -1, 3
Let q(g) = 9*g**3 - 870*g**2 + 32293*g + 414048. Let t(l) = -155*l**3 + 14795*l**2 - 548975*l - 7038815. Let v(r) = 35*q(r) + 2*t(r). Factor v(i).
5*(i - 91)**2*(i + 10)
Let o(w) be the first derivative of -1/2*w**3 + 77 - 45/4*w**2 + 0*w. Factor o(l).
-3*l*(l + 15)/2
Suppose 0 = 26*o - 29*o + 18, -5*m = -6*o + 36. Find v such that 0*v - 3/7*v**3 + m + 12/7*v**2 = 0.
0, 4
Let q(d) = -2214*d - 24352. Let s be q(-11). Factor -19/4*b**s + 7/4*b**3 + 2*b + 1.
(b - 2)*(b - 1)*(7*b + 2)/4
Suppose -29*t - 9*t = 11*t. Let a(i) be the second derivative of 1/30*i**4 + t + 29*i + 1/15*i**3 - 2/5*i**2. Factor a(l).
2*(l - 1)*(l + 2)/5
Let g(l) = l**3 + 18*l**2 + 9*l + 5. Let p be g(-5). Let c be (152/p)/((-36)/(-81)). Factor 0 + 2/5*d**4 - 2/5*d**2 + c*d**3 - 6/5*d.
2*d*(d - 1)*(d + 1)*(d + 3)/5
Let h(p) be the third derivative of p**5/270 - 449*p**4/108 - 902*p**3/27 - 3*p**2 - 195*p + 3. Factor h(z).
2*(z - 451)*(z + 2)/9
Let f be 1/((0 - 4)/(-408)). Suppose 9*v + 3 = f. Factor -v + 7 + 0*u + 3*u**2 - 14 + 3*u.
3*(u - 2)*(u + 3)
Factor 1/8*g**2 + 1739761/8 + 1319/4*g.
(g + 1319)**2/8
Let l(y) be the first derivative of -46 - 8/3*y - 4/3*y**2 - 2/9*y**3. Factor l(a).
-2*(a + 2)**2/3
Let u = -75465 - -1282927/17. Determine l so that -2/17*l**2 + u + 20/17*l = 0.
-1, 11
Let m(u) be the second derivative of u**6/75 - 3*u**5/25 - 97*u**4/30 - 14*u**3 + 1827*u. Factor m(k).
2*k*(k - 14)*(k + 3)*(k + 5)/5
Let m = -684705 + 684705. Solve -43/4*o - 1/4*o**2 + m = 0 for o.
-43, 0
Let n be 7/14 + (-6 + 55/10)*1. Let f(l) be the third derivative of 2/15*l**5 + 0*l + 1/2*l**4 + 15*l**2 + n + 2/3*l**3. Factor f(s).
4*(s + 1)*(2*s + 1)
Let o(m) be the first derivative of -m**4/14 + 190*m**3/3 - 7954. Solve o(b) = 0 for b.
0, 665
Let z(k) be the second derivative of -3*k**5/100 + 64*k**4/5 - 509*k**3/10 + 381*k**2/5 + 718*k. What is w in z(w) = 0?
1, 254
Let f be 2/33 - (910/(-231) - 0). Let a(o) be the second derivative of -12*o + 3*o**2 + 0 + 2/3*o**3 - 1/6*o**f. Factor a(g).
-2*(g - 3)*(g + 1)
Let u(r) = -r**3 - 6*r**2 + 16*r - 5. Let k be u(-8). Let a = k + 17. Let 0*x**3 - a*x**4 - x**3 - 12*x**5 - 7*x**3 - 8*x**4 = 0. Calculate x.
-1, -2/3, 0
Let g(b) be the first derivative of b**5/300 + 5*b**4/12 + 125*b**3/6 - 47*b**2/2 - 47. Let y(z) be the second derivative of g(z). Factor y(n).
(n + 25)**2/5
Let d(v) be the third derivative of 101*v**2 - 5/3*v**3 - 1/24*v**6 - 1/42*v**7 + 0*v + 0 + 5/24*v**4 + 1/4*v**5. Determine j, given that d(j) = 0.
-2, -1, 1
Let d(c) = 2*c**3 + 13*c**2 + c + 2. Let w be d(-6). Let i be ((-6)/16)/((-132)/w + 4). What is x in -12/5*x - 9/5*x**2 - 2/5*x**i - 4/5 = 0?
-2, -1/2
Solve -569*c + 96 - 187 - 471*c**2 - 312 + 1376*c + 66*c**2 + c**3 = 0.
1, 403
Factor -808/7*t + 4/7*t**2 - 116.
4*(t - 203)*(t + 1)/7
Suppose 59*w = 73*w + 70*w - 168. Let i be 1 - 8/10 - 1060/(-700). Factor 8/7*c - i + 4/7*c**w.
4*(c - 1)*(c + 3)/7
Let g(u) = 9*u**3 + 344*u**2 + 2916*u. Let c(k) = -3*k**3 - 115*k**2 - 972*k. Let v(f) = 7*c(f) + 2*g(f). Suppose v(z) = 0. Calculate z.
-27, -12, 0
Let r(f) = f**2 - 35*f + 231. Let g be r(28). Let k(q) = q**3 - 35*q**2 - 3*q + 107. Let d be k(g). Factor 4/13*i**3 + 0 - 4/13*i + 6/13*i**d.
2*i*(i + 2)*(2*i - 1)/13
Let m(i) be the third derivative of -i**6/1620 - i**5/54 + 8*i**3/3 - 51*i**2. Let s(x) be the first derivative of m(x). Solve s(n) = 0 for n.
-10, 0
Let k = -52410 - -576528/11. Solve -2/11*h**5 + 0 + 0*h - k*h**3 + 8/11*h**2 + 12/11*h**4 = 0.
0, 1, 4
Let i(a) be the third derivative of -a**5/30 + 1489*a**4/6 - 2217121*a**3/3 + 76*a**2 - 3*a + 3. Let i(b) = 0. What is b?
1489
Let v(q) be the first derivative of 0*q**2 + 0*q - 60 + 12/11*q**3 + 1/22*q**4. Factor v(m).
2*m**2*(m + 18)/11
Let z = 485 - 236. Let o = -249 + z. Factor 2/9*b**2 + 0*b + o.
2*b**2/9
Let m(g) = 5*g**3 + 400*g**2 - 395*g + 812. Let k be m(-81). Factor 3/2*l**5 + 0 + 9/2*l**4 + 0*l + 3/2*l**k + 9/2*l**3.
3*l**2*(l + 1)**3/2
Factor -3150*m - 3140*m - 561*m**2 - m**3 + 6291*m + 411 + 150*m**2.
-(m - 1)*(m + 1)*(m + 411)
Let p = -425 + 747. Factor p*z**4 - 318*z**4 - 16 + 0 - 12*z**2 + 32*z - 8*z**3.
4*(z - 2)*(z - 1)**2*(z + 2)
Suppose 19*y + 32*y + 27*y = 312. Let v(c) be the first derivative of -3/8*c**2 - 1/4*c**3 + 0*c + y. Let v(i) = 0. What is i?
-1, 0
Let h(t) be the third derivative of t**8/1680 - t**7/210 + t**6/200 + t**5/60 - t**4/30 + 514*t**2. Factor h(m).
m*(m - 4)*(m - 1)**2*(m + 1)/5
Suppose 10*x = 5*x - 7*x. Let m be (3/(-18))/(2/(-6)) - x. Factor m + 1/4*y**2 - 3/4*y.
(y - 2)*(y - 1)/4
Let r(m) be the third derivative of -m**7/630 - m**6/90 + 2*m**4/9 + 15*m**3/2 - 19*m**2. Let t(h) be the first derivative of r(h). Factor t(u).
-4*(u - 1)*(u + 2)**2/3
Let v = 916685/36 + -25463. Let y(q) be the second derivative of v*q**4 - 4/3*q**2 + 1/20*q**5 - 11*q + q**3 + 0. Let y(s) = 0. Calculate s.
-4, -2, 1/3
Factor 1/5*z**4 + 4096/5 + 26*z**3 + 4353/5*z**2 + 1664*z.
(z + 1)**2*(z + 64)**2/5
Let i be (70/(-8) - -4) + 600/120. Let k(l) be the second derivative of i*l**5 - 33*l + 0*l**2 + 0 + 5/4*l**4 + 0*l**3. Factor k(m).
5*m**2*(m + 3)
Let r be (2/140)/((-211)/(-1477)). Factor -r*j**2 - 98/5 + 14/5*j.
-(j - 14)**2/10
Factor 8/5*z**3 + 0*z**2 - 32/5 - 32/5*z + 2/5*z**4.
2*(z - 2)*(z + 2)**3/5
Suppose 2 = 3*i - 19. Suppose i*q - 1183 = 917. Find k such that 71*k**4 + 438*k**3 + 48 + q*k + 4*k**4 + 7*k**3 + 612*k**2 - 10*k**3 = 0.
-4, -1, -2/5
Let j(w) be the first derivative of -w**5/5 - w**4/6 + 61*w**3/9 - 10*w**2/3 - 1601. Let j(v) = 0. What is v?
-5, 0, 1/3, 4
Let j(h) be the third derivative of 0*h - 2/45*h**5 + 0*h**4 + 1/100*h**6 + 44*h**2 - 1/1575*h**7 + 0 + 0*h**3. Suppose j(z) = 0. What is z?
0, 4, 5
Let g(x) = 8*x + 119. Let u be g(-14). Factor -12*k**3 - 7 - 9*k**2 + 0*k**3 + 5*k + u - 2*k.
-3*k*(k + 1)*(4*k - 1)
Suppose -3*u = -2*m + 17, -35*m + 39*m = -20. Let b be (2 + 6/(u/3))*1. Factor -1/6*p**2 - 1/2*p**4 - 1/2*p**3 + b + 0*p - 1/6*p**5.
-p**2*(p + 1)**3/6
Let y = 27 + -21. Suppose -3*q + y = -0*q. Factor -a + 12*a**q + 2*a + a - 11*a**2.
a*(a + 2)
Let c(j) be the second derivative of 0*j**2 + 2/3*j**4 + 16*j**3 - 17/5*j**5 - 151*j - 2/21*j**7 - 16/15*j**6 + 0. Determine x, given that c(x) = 0.
-4, -3, -2, 0, 1
Let w be (-1)/(-2 + 9/5). Suppose 2*k = -r + w + 1, -12 = -4*k - 4*r. 