u.
-227, -1, 1
Let y(h) = -8*h - 6*h + h + 25 + 4*h**2. Let b(i) = -12*i + 18 + 9 - 2 + i**2 + 2*i**2. Let u(f) = -3*b(f) + 2*y(f). Factor u(s).
-(s - 5)**2
Suppose -14*z + 12 = -30. Factor -128*h - 134*h**2 - 324 + 94*h**2 - 2*h**z - 106*h.
-2*(h + 2)*(h + 9)**2
Let y = -80 + 91. Let g be (-4 + 2 + y)*6. Let g*c**3 - 7*c + 35*c + 9 + 3*c**5 + 66*c**2 + 11*c + 21*c**4 = 0. What is c?
-3, -1
Factor 216*t**2 + 3 - 244703*t - 3 + 2*t**3 + 244485*t.
2*t*(t - 1)*(t + 109)
Let m(w) be the first derivative of -w**3/9 + 7*w**2/3 + 24*w - 2107. Factor m(v).
-(v - 18)*(v + 4)/3
Let b = 130 - 118. Suppose 4*h - 39 = -b*u + 17*u, -17 = -2*h + 3*u. Determine f so that 0 + 4/3*f**5 + h*f**3 - 40/3*f**2 - 8*f**4 + 4*f = 0.
0, 1, 3
Let 0 - 59/2*z**2 + 15/2*z**3 + 45/2*z - 1/2*z**4 = 0. Calculate z.
0, 1, 5, 9
Let i(u) be the second derivative of -u**6/1080 + u**5/120 - 14*u**3/3 - 43*u. Let s(t) be the second derivative of i(t). Solve s(f) = 0.
0, 3
Let v(q) = q**3 + 462*q**2 + 13720*q - 17198. Let u be v(-430). Let g = -4963/15 - -331. Find d, given that g*d**u + 8/15*d + 2/5 = 0.
-3, -1
Let d be 2/5 + 115/25. Let r(j) be the second derivative of -1/160*j**d + 2*j + 0*j**3 + 0*j**2 + 1/96*j**4 + 0. Factor r(b).
-b**2*(b - 1)/8
Suppose 3*b - 5*w = 128, -2*b + 46 + 38 = -3*w. Suppose -98 + 26 = -b*d. Factor 1/4*h - 1/4*h**3 - 3/4*h**d + 1/2 + 1/4*h**4.
(h - 2)*(h - 1)*(h + 1)**2/4
Suppose 32*y = 6*c + 30*y - 14, 0 = -2*c + 3*y - 7. Let r(s) be the first derivative of 1/2*s**c + 0*s - 4/3*s**3 - 4 - 3*s**2. Factor r(j).
2*j*(j - 3)*(j + 1)
Let x(q) be the first derivative of -3*q**5/40 - 3*q**4/16 + 9*q**3/2 + 27*q**2/2 - 3540. Factor x(u).
-3*u*(u - 6)*(u + 2)*(u + 6)/8
Let w be 12356/(-1140) + 154/14 - (-6)/57. Let n(x) be the second derivative of 8/5*x**2 + 1/60*x**4 + 0 - x + w*x**3. Solve n(a) = 0.
-4
Let f(s) be the first derivative of 2*s**3/3 - 700*s**2 + 245000*s - 4097. Factor f(r).
2*(r - 350)**2
Let k be (24/(-1368))/((-58)/25346). Factor -2 + k*q - 10/3*q**2.
-(q - 2)*(10*q - 3)/3
What is s in -3/7*s**2 + 108 + 12/7*s = 0?
-14, 18
Let j(s) = 167*s**2 + 1126*s - 297. Let x be j(-7). Let g be (-6)/9*3/(-4). Suppose 1/2*m**2 - 1/2*m**3 - 1/2*m**x + 0 + g*m = 0. Calculate m.
-1, 0, 1
Let n be (-1 - 8)/(10 - 730/70). Find j such that 2*j**5 + 29*j**3 - 7*j**4 - n*j**3 - 3*j**4 - 7*j**4 = 0.
0, 1/2, 8
Let u(t) be the first derivative of 4*t**3/21 + 1590*t**2/7 + 3163. Suppose u(r) = 0. Calculate r.
-795, 0
Let d(f) = -7*f - 13. Let g(r) be the first derivative of r**3/3 + 3*r**2/2 + r - 20. Let t(j) = d(j) + g(j). Factor t(l).
(l - 6)*(l + 2)
Let s(k) be the first derivative of -2*k - 13/84*k**4 - 1/28*k**5 + 12*k**2 - 16 - 4/21*k**3. Let b(l) be the second derivative of s(l). Factor b(a).
-(3*a + 4)*(5*a + 2)/7
Suppose -674*i + 1088 = 60*i - 380. Solve 0*c + 2/7*c**4 + 0 - 2/7*c**3 + 0*c**i = 0 for c.
0, 1
Let m(z) be the third derivative of -z**6/160 - 3*z**5/10 - 23*z**4/32 + 1542*z**2. Suppose m(r) = 0. Calculate r.
-23, -1, 0
Let p = -34862/73 + 105316/219. Find r such that p*r**2 - 28/9 - 10/9*r + 10/9*r**3 - 2/9*r**4 = 0.
-2, -1, 1, 7
Let k(o) = 13*o**3 - 376*o**2 - 470*o - 10. Let m(p) = 6*p**3 - 192*p**2 - 234*p - 6. Let v(a) = 3*k(a) - 5*m(a). Factor v(l).
3*l*(l - 20)*(3*l + 4)
Suppose 3*w - 5*r = 52, 25*w + 54 = -4*r + 122. Factor 0 - 5/2*h**2 - 1/2*h**3 + 1/2*h**w - 3/2*h.
h*(h - 3)*(h + 1)**2/2
Let s = 20015 + -140081/7. Factor -s*c**2 + 72/7*c - 64/7 + 2/7*c**3.
2*(c - 8)*(c - 2)**2/7
Let h(g) be the third derivative of g**5/30 - 5*g**4/2 - 304*g**3/3 + 16*g**2 - 14. Factor h(d).
2*(d - 38)*(d + 8)
Factor -2*o**2 + 266*o - 67*o - 61*o - 7*o - 61*o + 1372.
-2*(o - 49)*(o + 14)
Suppose -5*w = -492 + 657. Let h(j) = -147*j**2 - 336*j - 576. Let s(x) = -9*x**2 - 21*x - 36. Let r(i) = w*s(i) + 2*h(i). Factor r(q).
3*(q + 3)*(q + 4)
Let l(k) be the second derivative of k**7/21420 + k**6/510 + 11*k**5/1020 - 67*k**4/6 - 32*k. Let p(r) be the third derivative of l(r). Solve p(c) = 0.
-11, -1
Let t(l) be the third derivative of l**6/120 + 7*l**5/10 - l**4/24 - 7*l**3 + 257*l**2 - 3. Suppose t(s) = 0. Calculate s.
-42, -1, 1
Let g(m) be the first derivative of -5*m**4 - 244*m**3 - 552*m**2 + 560*m + 10997. What is q in g(q) = 0?
-35, -2, 2/5
Let u(g) be the first derivative of 0*g**3 + 3/14*g**4 + 0*g + 1/7*g**5 - 1/42*g**6 + 0*g**2 - 47. Solve u(d) = 0.
-1, 0, 6
Let k(y) be the third derivative of y**5/45 + y**4 - 560*y**3/9 + 29*y**2 - 60. Solve k(x) = 0.
-28, 10
Factor 3*i**3 - i**4 + 0*i**3 - 14841*i**2 + 4*i**3 + 14829*i**2.
-i**2*(i - 4)*(i - 3)
Let s(c) be the second derivative of -23/20*c**5 - 1/14*c**7 + 8/15*c**6 - 46*c - 1/2*c**4 + 0 + 14/3*c**3 - 4*c**2. Factor s(w).
-(w - 2)**3*(w + 1)*(3*w - 1)
Let n(r) be the third derivative of r**5/270 - 37*r**4/108 - 470*r**3/27 - 3695*r**2. Find b, given that n(b) = 0.
-10, 47
Factor 11692/7*w + 17087858/7 + 2/7*w**2.
2*(w + 2923)**2/7
Let x(h) = h**5 + h**4 - h**2 + h. Let n(a) = 5*a**5 - 9*a**4 + 42*a**3 + 66*a**2 - 471*a + 375. Let d(q) = n(q) - 4*x(q). Factor d(r).
(r - 5)**3*(r - 1)*(r + 3)
Suppose 2*n + 5*r = 1, 4*n - 9 = 3*r + 6. What is q in 46*q - 1373 + 1361 + 8*q**2 - 9*q**n + 2*q**2 + q**3 = 0?
-2, 1/4, 3
Let d(u) = -51*u**3 + 18*u**2 + 51*u - 36. Let l(y) = 3*y**3 - 2*y. Let p(r) = -d(r) - 18*l(r). Find s, given that p(s) = 0.
-4, -3, 1
What is p in 430/11*p**3 - 1332/11*p - 1296/11 - 106/11*p**4 + 46*p**2 + 6/11*p**5 = 0?
-4/3, -1, 2, 9
Let a be 605/600 + (12 - 13). Let z(b) be the third derivative of 0*b**4 + 0 + 0*b + 1/80*b**6 + a*b**5 + 0*b**3 + 1/210*b**7 + 13*b**2. Factor z(w).
w**2*(w + 1)*(2*w + 1)/2
Suppose 39*k + 60*k = 15*k + 252. Let t(m) be the third derivative of -1/6*m**4 - 5/6*m**3 + 1/60*m**5 + 0 + 0*m + k*m**2. Determine j, given that t(j) = 0.
-1, 5
Let b(u) = 2*u**3 + 199*u**2 + 1628*u - 7. Let c be b(-9). Factor 0*j**c - 4/7*j**5 + 0 + 0*j + 20/7*j**4 + 0*j**3.
-4*j**4*(j - 5)/7
Let n be 4 - 1/(-2 - (-1 - 2)). Suppose -n = 5*g - 48. Factor -11 - 61 - 24*o + 7*o**2 - g*o**2.
-2*(o + 6)**2
Let t(c) = -2*c**2 + 48*c - 22. Let z be t(31). Let f = z - -459. Determine a, given that -1/4*a**f + 1 - 3/4*a**2 + 0*a = 0.
-2, 1
Let w be 0/((-3)/(-54)*3*7920/440). Let 2*g**3 + w + 2/7*g**4 + 16/7*g + 4*g**2 = 0. What is g?
-4, -2, -1, 0
Let u(v) be the second derivative of 0*v**2 + 0 + 4/21*v**3 + 19/21*v**4 - 14*v. Suppose u(l) = 0. What is l?
-2/19, 0
Let g = -18 - -26. Suppose 87 = g*l - 49. Determine n, given that -31*n**2 + 29*n**2 + 12 + 3*n**3 + 24*n + l*n**2 = 0.
-2, -1
Let t(i) = 21*i**4 + 61*i**3 - 21*i**2 - 203*i + 109. Let v(m) = -4*m**4 - 12*m**3 + 4*m**2 + 40*m - 22. Let j(x) = -2*t(x) - 11*v(x). What is f in j(f) = 0?
-4, -3, 1
Let d(r) be the second derivative of -r**6/15 - r**5 + 227*r**4/6 + 420*r**3 - 15876*r**2 - 4*r + 1. Factor d(b).
-2*(b - 9)**2*(b + 14)**2
Let y(z) be the third derivative of 5*z**8/84 + 43*z**7/14 + 29*z**6/6 - 1187*z**5/12 + 575*z**4/4 + 620*z**3/3 - 17*z**2 - 89*z. Find c such that y(c) = 0.
-31, -4, -1/4, 1, 2
Let j(o) = -3*o**4 - 10*o**3 - 5. Let i(q) = -12*q**4 - 42*q**3 - 21. Suppose 11*l = -5*l + 336. Let n(z) = l*j(z) - 5*i(z). Factor n(g).
-3*g**4
Let k(h) = -5*h**3 + 54*h**2 + 49*h - 76. Let p(b) = -b**3 + 11*b**2 + 9*b - 15. Let q(o) = 2*k(o) - 11*p(o). Factor q(l).
(l - 13)*(l - 1)*(l + 1)
Let b = 3241 - 3239. Solve -5/3*m**b + 4/3 - m**3 + 1/3*m**4 + m = 0 for m.
-1, 1, 4
Let i(o) be the first derivative of -4*o**5/5 + 12*o**4 - 44*o**3 + 4*o**2 + 192*o + 4005. Suppose i(p) = 0. Calculate p.
-1, 2, 3, 8
Let l(k) be the second derivative of -1/3*k**4 + 2/3*k**3 - 37*k + 0 + 12*k**2. Determine z so that l(z) = 0.
-2, 3
Let c be (-10)/(-55) - (6*-1 - (-8660)/(-165)). Factor 7/6*f**4 + 41/3*f**3 + 52*f**2 + c*f - 64/3.
(f + 4)**3*(7*f - 2)/6
Let h(r) be the second derivative of r**5/30 + r**4/9 + 790*r. Suppose h(s) = 0. What is s?
-2, 0
Let i be 25/(76 - -24) - (-26)/24. Let a(c) be the third derivative of -i*c**3 - 1/30*c**5 + 0 + 0*c + 5/12*c**4 + 5*c**2. Let a(t) = 0. Calculate t.
1, 4
Let l(r) be the first derivative of 23/10*r**2 - 4/15*r**3 + 6/5*r - 45. Suppose l(h) = 0. What is h?
-1/4, 6
Let -2/13*i**3 - 358/13*i - 56/13*i**2 + 32 = 0. Calculate i.
-16, -13, 1
Factor 4/7*w**3 - 468/7*w**2 + 43200/7 + 12960/7*w.