in 29/3*n**3 - 1/3*n**4 + 0 + 9*n - c*n**2 = 0?
0, 1, 27
Let v(r) = -2*r + 24. Let o(f) = f + 5. Let d be o(6). Let w be v(d). Solve 5*p**4 - 4*p**2 + 5*p**3 - 6*p**w - 10*p**3 = 0 for p.
-1, 0, 2
Let q(b) be the first derivative of b**4/18 - 37*b**3/9 + 149*b + 144. Let f(l) be the first derivative of q(l). Factor f(u).
2*u*(u - 37)/3
Factor -5*g - 1/10*g**3 - 13/10*g**2 - 28/5.
-(g + 2)*(g + 4)*(g + 7)/10
Let i be (105/(-96) - -1)/((-108)/(-48)). Let m = i + 13/24. Factor 0*t - m*t**3 + 3*t**2 + 0.
-t**2*(t - 6)/2
Let k = 37 - 37. Suppose k = -s - 4*j + 20, -3*s + 3*j + 0*j = 0. Let -14*l**s + 20*l**4 - 15*l**3 + 10*l**2 - 5*l**5 + 14*l**4 - 10*l**3 = 0. Calculate l.
0, 1, 2
Let b(q) be the second derivative of -2*q**7/21 - 16*q**6/15 - 12*q**5/5 + 18*q**4 + 126*q**3 + 324*q**2 + 448*q. Factor b(s).
-4*(s - 3)*(s + 2)*(s + 3)**3
Let z = 23 + -7. Let k be 162/z - 4/32. Solve 2*y**2 + k*y + y + 11 - 3*y - 3 = 0 for y.
-2
Factor 11500*p - p**3 - 47354 + 19702 + 21904 - 5756*p**2 + 5*p**3.
4*(p - 1437)*(p - 1)**2
Let v be (-5)/(130/(-4)) - (-144)/78. Suppose v + 42 = 4*m. Factor -16*f + 11*f**3 + 9*f**3 - 3*f**3 - 48*f**2 + m*f**3.
4*f*(f - 2)*(7*f + 2)
Let j(n) be the third derivative of -n**5/15 - 815*n**4 - 3985350*n**3 - n**2 - 136. Factor j(f).
-4*(f + 2445)**2
What is y in -2/9*y**5 - 8*y**4 - 384*y**2 - 96*y**3 + 0*y + 0 = 0?
-12, 0
Let v = 466 + -547. Let c be (v/30 - 2 - -2) + 3. Factor -3/10*w - 1/5 + 1/10*w**2 + 1/10*w**4 + c*w**3.
(w - 1)*(w + 1)**2*(w + 2)/10
Let u = 33223 + -33219. Find n, given that -1/7*n**u + 80/7 + 48/7*n**2 - 4/7*n**3 - 16*n = 0.
-10, 2
Let p be (-133)/(-42) - (1 + (-15)/18). Factor -14*n - 3*n**2 + 3*n**p + 26*n - 12*n.
3*n**2*(n - 1)
Let o(i) be the second derivative of i**5/20 - 31*i**4/12 - 3*i**3/2 + 23*i**2/2 + 10*i - 5. Let y(d) = -d**2 - d. Let j(k) = -3*o(k) + 24*y(k). Factor j(a).
-3*(a - 23)*(a - 1)*(a + 1)
Let t(h) = 21*h + 213. Suppose -41 = 4*n - 1. Let i be t(n). Factor 8/13 + 2/13*a**4 + 8/13*a - 4/13*a**i - 6/13*a**2.
2*(a - 2)**2*(a + 1)**2/13
Factor 4/7*b**2 + 0 + 2304/7*b.
4*b*(b + 576)/7
Let o(i) = -4*i**3 - 18*i**2 - 16*i + 38. Let j(p) = 4*p**3 + 17*p**2 + 18*p - 39. Let z(d) = -2*j(d) - 3*o(d). Factor z(b).
4*(b - 1)*(b + 3)**2
Let q = -24 - -90. Let v be q/30 + (-1)/5. Determine u, given that 2*u**2 - 4*u**3 - 5*u**4 - u**3 + 5*u**v + 5*u**5 - 2*u**2 = 0.
-1, 0, 1
Let a(l) = -415 + 120 - 44*l**2 + 22*l**2 - 60*l - 33*l**2 - 150*l. Let i(u) = -8*u**2 - 30*u - 42. Let j(v) = 3*a(v) - 20*i(v). Factor j(m).
-5*(m + 3)**2
Let r be (-16844)/(-442) + (-2172)/(-6154). Factor 82*l + 1172/13*l**2 + 2/13*l**5 + 58/13*l**4 + 26 + r*l**3.
2*(l + 1)**3*(l + 13)**2/13
Let z(x) = x**3 - 5*x**2 - 23*x + 26. Let q be z(8). Let a = q - -11. Solve -1 - 48*f**3 + a*f**3 + 0 + f**2 + 3*f = 0 for f.
-1, 1/3, 1
Let 169 - 1273 + 1060*t - 1064*t**3 + 1152*t**2 + 4*t**5 - 14*t**4 - 34*t**4 = 0. What is t?
-12, -1, 1, 23
Let w(o) be the second derivative of -o**4/18 - 1372*o**3/9 + 1373*o**2/3 - 1672*o. Find x, given that w(x) = 0.
-1373, 1
Suppose a + 3*a - 42 = -5*p, -p - 15 = -a. Solve -8*l - 2 + a*l + 28*l**3 + 8*l**2 - 33*l - 6 = 0 for l.
-1, -2/7, 1
Let c = -1528543/87 - -17570. Let h = c - 6/29. Factor h*i**2 - 2*i + 3.
(i - 3)**2/3
Factor 296*c + 54 - 9/2*c**3 + 475/2*c**2.
-(c - 54)*(c + 1)*(9*c + 2)/2
Let z = -17 + 18. Let q be z/(-4)*1 + (-169)/(-52). Solve -289*y**3 - 207*y + 1570*y**q + 15*y + 431*y**2 - 96 + 19*y**2 + 735*y**4 = 0.
-1, -4/7, 2/5
Let w = -123881 + 123885. Determine o, given that 1/5*o**2 - 2/5*o**3 - 1/5*o**w + 2/5*o + 0 = 0.
-2, -1, 0, 1
Let o(z) = 12*z**4 - 48*z**3 + 96*z**2 + 1008*z - 2040. Let b(x) = 2*x**4 - x**3 - 2*x + 1. Let t(y) = 8*b(y) - o(y). Let t(k) = 0. Calculate k.
-8, 2, 4
Let f(v) be the first derivative of 52/35*v**5 - 5/42*v**6 + 16*v**2 - 165/28*v**4 - 96/7*v - 62 + 14/3*v**3. What is o in f(o) = 0?
-1, 2/5, 3, 4
Suppose 0 = 15*q + 32*q + 154 - 624. Factor 0*h**2 + q*h**3 - 40 + 5/2*h**4 - 40*h.
5*(h - 2)*(h + 2)**3/2
Let x(w) be the first derivative of 10*w**3/21 - 43*w**2/7 - 20*w - 1182. Factor x(v).
2*(v - 10)*(5*v + 7)/7
Let i be (4/10)/((-11)/(-12265)). Let z = i + -444. Find r such that -2/5*r**3 - 2/5*r**4 + 2/5*r + 0 + 2/5*r**z = 0.
-1, 0, 1
Let i be 4 + (0 + 1)/(-39 + 38). Let y = 12/23 - 14/115. Find a, given that y*a**4 - 2/5 - 4/5*a**i + 4/5*a + 0*a**2 = 0.
-1, 1
Find o, given that 6*o - 2*o**5 - 19*o - 8*o**2 - 31*o**3 + 27*o**3 + 19*o + 8*o**4 = 0.
-1, 0, 1, 3
Let p(a) be the first derivative of 1/420*a**5 + 0*a**4 + 0*a**2 - 6 - a**3 + 1/2520*a**6 + 0*a. Let t(n) be the third derivative of p(n). Factor t(i).
i*(i + 2)/7
Let a = -439219 - -1317823/3. Let -1/3*g**4 - 140*g - 75 - a*g**2 + 28/3*g**3 = 0. Calculate g.
-1, 15
Let s(g) be the second derivative of -39 + 0*g**2 + 2*g**3 - 5/4*g**4 + 3/20*g**5 + 2*g. Find o, given that s(o) = 0.
0, 1, 4
Let h(q) be the first derivative of 20/3*q**2 - 98 - 4/5*q**5 + 52/3*q**3 + 2/3*q**4 - 32*q. Find f such that h(f) = 0.
-3, -1, 2/3, 4
Suppose 275*s - 272*s = 5*n - 26, 4*s - 4*n + 16 = 0. Determine j, given that 6/23 - 10/23*j**4 + 4/23*j**2 - 12/23*j**s + 14/23*j - 2/23*j**5 = 0.
-3, -1, 1
Suppose 32*n - 346 - 234 = -26*n. Let z(x) be the second derivative of 0 + 2/27*x**4 + 2/9*x**2 + 1/90*x**5 + 5/27*x**3 - n*x. Determine l so that z(l) = 0.
-2, -1
Find f, given that 1/7*f**3 + 176/7 + 48/7*f**2 + 180/7*f = 0.
-44, -2
Let b(w) be the third derivative of -5*w**7/42 + 281*w**6/8 - 1337*w**5/12 + 275*w**4/8 + 835*w**3/3 + 2*w**2 + 10. Suppose b(t) = 0. What is t?
-2/5, 1, 167
Suppose 114*b - 24 = 111*b - 3*g, -2*b = -g - 7. Let u be -1*((-1 - -4) + -3). Find i such that u + 0*i - 2/7*i**b + 0*i**2 - 4/7*i**4 - 2/7*i**3 = 0.
-1, 0
Let u(b) = b**4 - 9*b**3 + 58*b**2 - 16*b - 64. Let h(x) = -2*x**4 + 17*x**3 - 119*x**2 + 33*x + 126. Let o(i) = 4*h(i) + 9*u(i). Factor o(r).
(r - 6)**2*(r - 2)*(r + 1)
Let m(b) be the first derivative of 5*b**6/12 + 2*b**5 - 35*b**4/2 + 80*b**3/3 - 145. Factor m(j).
5*j**2*(j - 2)**2*(j + 8)/2
Let x(l) be the third derivative of l**5/510 + 3*l**4/68 - 52*l**3/51 - 2787*l**2. Factor x(s).
2*(s - 4)*(s + 13)/17
Suppose -4*z + 4*b + 56 = 0, 3*z = -b + 28 - 2. Let v(x) be the second derivative of -1/12*x**4 - z*x + 0*x**2 - 3/80*x**5 + 0 - 1/24*x**3. Factor v(c).
-c*(c + 1)*(3*c + 1)/4
Let o = -10713158 + 117949955/11. Let c = o + -9557. Factor 4/11*m + 54/11*m**4 + 0 + c*m**3 - 54/11*m**5 + 34/11*m**2.
-2*m*(m - 2)*(3*m + 1)**3/11
Let o(h) be the first derivative of 5*h**4/4 - 65*h**3/3 - 10*h**2 + 260*h + 146. Determine b so that o(b) = 0.
-2, 2, 13
Suppose -2*b + 5*t + 19 = 4*t, -22 = -3*b - 5*t. Let o be (b - 1) + 348/(-58). Solve 16/5*q**3 + 44/5*q**o - 64/5*q - 12/5*q**4 + 16/5 = 0.
-2, 1/3, 1, 2
Let v(f) be the first derivative of -f**3/9 - 121*f**2 - 43923*f - 7264. Factor v(q).
-(q + 363)**2/3
Determine t, given that 183*t**4 + 1824*t - 378*t**3 - 35245 - 21*t**5 + 68976 - 34883 - 456*t**2 = 0.
-2, 1, 12/7, 4
Suppose -234/11*f**2 - 2214/11 + 1458/11*f - 2/11*f**3 = 0. What is f?
-123, 3
Determine a, given that 177*a - 20886*a**2 - 1/2 + 821516*a**3 = 0.
1/118
Let h(x) be the second derivative of 0*x**3 + 1/5*x**5 + 2/5*x**6 + 0 + 8*x**2 - 2/21*x**7 - 110*x - 7/3*x**4. Suppose h(q) = 0. What is q?
-1, 1, 2
Let l(f) be the second derivative of 5*f**4/48 - 305*f**3/6 + 1215*f**2/8 - f + 2469. Factor l(v).
5*(v - 243)*(v - 1)/4
Factor -3810304/3*u + 7263392/3 + 30256*u**2 - 736/3*u**3 + 2/3*u**4.
2*(u - 122)**3*(u - 2)/3
Factor 2/17*j**3 - 8*j**2 + 266/17*j - 132/17.
2*(j - 66)*(j - 1)**2/17
Find d such that -86400 + 1438/3*d**2 + 85920*d + 2/3*d**3 = 0.
-360, 1
Solve -4/5*w**4 - 1/5*w**5 + 16/5*w + 0*w**3 + 16/5*w**2 + 0 = 0 for w.
-2, 0, 2
Let p(s) = -2*s**3 - 89*s**2 - 379*s - 322. Let h(m) = -2*m**3 - 98*m**2 - 378*m - 322. Let q(c) = -3*h(c) + 4*p(c). Factor q(b).
-2*(b + 1)*(b + 7)*(b + 23)
Factor -260 + 33*w**2 - 284*w + 12 - 273*w + 614*w - 199*w.
(3*w + 4)*(11*w - 62)
Let z(i) = -i**3 - 5102*i**2 - 3033*i + 2047. Let n(f) = f**3 - 2550*f**2 - 1519*f + 1023. Let h(p) = -7*n(p) + 3*z(p). Factor h(g).
-2*(g - 255)*(g + 1)*(5*g - 2)
Suppose -5*q + 2*g = -238, -92 = -2*q + 7*g - 3*g. Let n be (-1500)/40*q/(-20). Factor 99*s**2 + 51/2*s**3 - 12 + n*s.
3*(s + 2)**2*(17*s