00 - 198*y**4 - 376*y**2 + 64*y**3 + 7493*y - 6533*y + 194*y**4.
-4*(y - 5)**2*(y - 3)**2
Determine x so that -12*x**3 + 48*x - 41*x - 68*x**2 + 53*x + 64 + 4*x**4 - 22*x**3 - 26*x**3 = 0.
-1, 1, 16
Let s = -10 + 15. Suppose 2*b + 6 = m + 7, -4*m + 14 = -2*b. Solve 1956*h**3 + 3*h**2 - m*h**2 - 1953*h**3 - h**s = 0.
-2, 0, 1
Let v be (165/(-12))/(265/(-264) + 1). What is n in 5560 - 32*n**3 + 1095 - 17*n**3 + 9*n**3 - v*n + 660*n**2 = 0?
11/2
Let u be (18/(-4))/(30/110 - (-45)/(-44)). Let x(s) be the third derivative of -1/6*s**5 + 0*s**4 + 0*s - 1/24*s**u + 0 + 0*s**3 + 30*s**2. Factor x(l).
-5*l**2*(l + 2)
Let v(q) be the first derivative of q**6/72 + 19*q**5/15 + 25*q**4/16 - 294. Factor v(i).
i**3*(i + 1)*(i + 75)/12
Let k(s) be the third derivative of 0*s + 6*s**3 - 77*s**2 + 0 + 0*s**4 - 1/15*s**5. Find l, given that k(l) = 0.
-3, 3
Let c be 2 - -2 - 1/(4 + -5). Factor -3*r**2 + 2*r**2 - r - 3*r**2 + c*r.
-4*r*(r - 1)
Let p(g) be the second derivative of 42*g + 9/10*g**5 + 6*g**3 - 1/10*g**6 + 0 - 13/4*g**4 - 6*g**2. Factor p(q).
-3*(q - 2)**2*(q - 1)**2
Find v, given that 36 - v**2 - 31*v**2 + 41*v - 4*v**4 - 1339*v**3 + 1297*v**3 + v**5 = 0.
-4, -1, 1, 9
Let x(m) be the first derivative of -2*m**3/27 + 5*m**2/3 - 112*m/9 - 5086. Factor x(l).
-2*(l - 8)*(l - 7)/9
Let l(t) be the second derivative of 1/255*t**6 + 1/102*t**4 + 1/85*t**5 + 0*t**3 - 3*t + 3 + 0*t**2. Factor l(w).
2*w**2*(w + 1)**2/17
Factor 2*x**4 - 52*x**3 - 6*x**4 - 204*x**2 + 48 - 268*x - 97 - 63.
-4*(x + 1)**2*(x + 4)*(x + 7)
Let z = -249046/45 + 5535. Let c = z - -1/45. Suppose 0 - c*t**3 + 4/3*t**2 + 0*t = 0. What is t?
0, 2
Let b = -173345 - -173347. Suppose 2/13*t**b - 2/13*t**4 - 4/13*t**5 + 4/13*t**3 + 0*t + 0 = 0. What is t?
-1, -1/2, 0, 1
Let x(p) be the third derivative of p**5/390 + 311*p**4/39 + 386884*p**3/39 - 583*p**2. Factor x(h).
2*(h + 622)**2/13
Let n(u) be the first derivative of u**4/14 + 232*u**3/7 + 40368*u**2/7 + 3121792*u/7 + 714. Determine h so that n(h) = 0.
-116
Let j(s) be the first derivative of s**4/2 + 38*s**3 + 651*s**2 - 9610*s + 2211. Solve j(h) = 0.
-31, 5
Let f be (-5512)/(-212)*12/104. Let -2/3 - 13/6*y**2 - y**f - 1/6*y**4 - 2*y = 0. What is y?
-2, -1
Suppose -7*q**2 + 5408*q + 117612 - 4220*q + 10*q**2 = 0. What is q?
-198
Let w(g) be the first derivative of -9 - 3*g**5 + 20*g + 30*g**2 - 25/2*g**4 - 5*g**3. Solve w(s) = 0.
-2, -1/3, 1
Suppose -2*u + 4*c - 2702 = 0, c + 2597 + 4202 = -5*u. Let v = 1362 + u. Let 3/2*h**3 + v*h**2 - 12 - 6*h = 0. Calculate h.
-2, 2
Let d(l) = l**3 - 58*l**2 - 61*l + 108. Let p be d(59). Let y be (-90)/342*4/p. Factor -2/19 + y*f**2 + 0*f.
2*(f - 1)*(f + 1)/19
Let n(i) = -4097*i - 12288. Let s be n(-3). Solve 229/2*y**2 + 450 + 1/2*y**4 - 13*y**s - 390*y = 0 for y.
3, 10
Factor 2/5*s**2 - 86/5*s + 48.
2*(s - 40)*(s - 3)/5
Let c(t) = -5*t - 122 - 4*t - 6*t + 4*t + 15*t. Let w be c(31). Solve 6/11*y**w + 2/11*y**3 - 18/11*y - 54/11 = 0.
-3, 3
Suppose 3*l + 2 = -39*q + 40*q, -20*l + 3*q = -16. What is v in v + 6/7 + 1/7*v**l = 0?
-6, -1
Let f(r) be the first derivative of 16*r**3 + r + 13/2*r**2 + 9*r**4 + 63. Factor f(s).
(s + 1)*(6*s + 1)**2
Solve -1/6 - 2157961/6*w**2 - 1469/3*w = 0.
-1/1469
Let a = -65845 + 65845. Determine z so that -4*z**3 + a*z - 25/6*z**5 - 2/3*z**2 - 15/2*z**4 + 0 = 0.
-1, -2/5, 0
Let o = -466 + 483. Suppose -2*z = 3*u - 17, -o*z + 19*z - 4*u = -4. Factor 0 - 2/7*t + 2/7*t**3 - 2/7*t**z + 2/7*t**2.
-2*t*(t - 1)**2*(t + 1)/7
Suppose -42735 = -318*q - 42099. Let -3/2*n**q + 1/2*n**3 + 3/2 - 1/2*n = 0. What is n?
-1, 1, 3
Let l(c) be the second derivative of -c**7/175 - c**6/300 + c**5/50 + c**4/60 - 35*c**2/2 + 3*c - 6. Let k(w) be the first derivative of l(w). Solve k(r) = 0.
-1, -1/3, 0, 1
Factor -32*n**3 - 16234*n**4 + 32471*n**4 + 35*n**2 - 16238*n**4 + 66*n.
-n*(n - 2)*(n + 1)*(n + 33)
Let p(u) be the second derivative of 20*u**7/147 - u**6/5 - 2*u**5/7 + 11*u**4/21 - u**2/7 + 229*u. Find k such that p(k) = 0.
-1, -1/5, 1/4, 1
Suppose 2*o + y - 352 = -3*y, -3*o - 3*y + 522 = 0. Factor -16 + 16 + o*a**2 - 172*a**2 - a + a**3.
a*(a - 1)*(a + 1)
Let p(k) be the second derivative of -35*k**4/48 - 65*k**3/4 + 244*k + 1. Determine d so that p(d) = 0.
-78/7, 0
Suppose -2*v - 88 = -98. Factor 859*f**2 + v*f**4 - 1292*f**2 + 250*f + 658*f**2 + 60*f**3.
5*f*(f + 2)*(f + 5)**2
Let s(t) be the second derivative of 2*t**6/5 - 39*t**5/20 - 13*t**4/4 + 2*t**3 - 2280*t. Let s(z) = 0. What is z?
-1, 0, 1/4, 4
Let n(m) be the third derivative of 0*m**3 - 1/10*m**5 - 1 + 2*m**2 + 0*m - 3/16*m**4 - 1/1680*m**7 - 13/960*m**6. Let n(w) = 0. What is w?
-6, -1, 0
Let b(n) = -320*n**2 - 8*n + 328. Let v(y) = y**3 + y**2 + y - 3. Let x(p) = -b(p) - 4*v(p). Factor x(l).
-4*(l - 79)*(l - 1)*(l + 1)
Let n(r) be the second derivative of -r**6/200 - 3*r**5/50 - 3*r**4/40 + r**3 - 107*r**2/2 + 255*r. Let h(m) be the first derivative of n(m). Factor h(t).
-3*(t - 1)*(t + 2)*(t + 5)/5
Let j = -205 + 208. Let q(f) be the first derivative of 55/3*f**j + 15*f**4 - 10/3*f**6 - f**5 + 5*f**2 + 13 + 0*f. Determine o, given that q(o) = 0.
-1, -1/4, 0, 2
Suppose -4*x + 80 = 0, 0 = -38*u - 2*x + 48 + 68. Factor -1/3*b**4 + 1/3*b**2 + 0 + u*b - 2*b**3.
-b*(b - 1)*(b + 1)*(b + 6)/3
Factor -1107/4*n + 11767/4 - 75/4*n**2 - 1/4*n**3.
-(n - 7)*(n + 41)**2/4
Suppose a = -5*l + 14 - 5, -2*a + 6 = -2*l. Suppose 3*t = a*t - 12. Solve -t*u**2 + 4*u**2 + 4*u**2 + 16 = 0 for u.
-2, 2
Solve -788 + 130*b - 2*b**2 + 102*b + 43*b - 17*b + 140*b = 0 for b.
2, 197
Let k be (-4847)/(-1572) - (-23)/(-276). Factor 0 + 2/13*i**4 + 12/13*i**k + 18/13*i**2 + 8/13*i.
2*i*(i + 1)**2*(i + 4)/13
Let w = 1603/3222 - -4/1611. Let i(m) be the third derivative of -w*m**4 + 4/3*m**3 + 9*m**2 + 0 + 0*m + 1/30*m**6 + 0*m**5. Factor i(f).
4*(f - 1)**2*(f + 2)
Let d(q) be the second derivative of -q**7/840 + q**6/30 + 97*q**4/12 - 33*q. Let r(j) be the third derivative of d(j). Factor r(l).
-3*l*(l - 8)
Let v(r) = -r**2 - 7*r + 10. Let w be v(-6). What is d in -11*d**4 - 2*d**3 + 50*d**4 - w*d**4 - 21*d**4 = 0?
0, 1
Suppose 1/6*t**5 + 254/3*t**3 - 131/6*t**4 + 0*t + 0 + 0*t**2 = 0. Calculate t.
0, 4, 127
Let i = 11481 - 68885/6. Let b be (4 - 60/16)*2. Suppose b*g**3 + i*g**4 + 0 - 1/2*g - 1/6*g**2 = 0. Calculate g.
-3, -1, 0, 1
Let m(i) = i**2 - i + 1. Suppose -2*y - 1 = 5*c + 32, 0 = 3*y - 3*c - 3. Let t(f) = -38*f**2 + 42*f - 8. Let k(s) = y*m(s) + t(s). Factor k(a).
-2*(3*a - 2)*(7*a - 3)
Suppose -w = 5*j - 4*w + 196, 4*j - w = -161. Let q = j + 52. Factor -36*g**3 + 116*g**2 - 1 - 29*g**3 + 24*g**2 + q - 85*g.
-5*(g - 1)**2*(13*g - 2)
Find s, given that -716/3*s - 715/3 - 1/3*s**2 = 0.
-715, -1
Let u(h) be the third derivative of 4*h**2 - 20 - 8/19*h**3 - 25/228*h**4 + 0*h - 1/570*h**5. Find i such that u(i) = 0.
-24, -1
Let u = -310329 - -620673/2. Factor 5/4*h**3 + 65/4*h - u - 10*h**2.
5*(h - 6)*(h - 1)**2/4
Factor 41*y**3 + 11*y**3 + 9528*y**5 - 9577*y**5 - 70*y**4 - 8*y**2.
-y**2*(y + 2)*(7*y - 2)**2
Let h(w) be the third derivative of 1/60*w**5 + 55*w**2 + 0 - 1/6*w**3 - w - 11/48*w**4 + 11/240*w**6. Factor h(o).
(o - 1)*(o + 1)*(11*o + 2)/2
Let -13*s**2 + 5*s**2 + s**3 + 109*s + 16*s**2 + 13*s**2 + 208 + 11*s = 0. What is s?
-13, -4
Factor -2*u + 215*u**2 + 12*u**3 - 438*u**2 + 18*u + 255*u**2.
4*u*(u + 2)*(3*u + 2)
Let g be (4/(-19))/((-649)/22 - -29). Factor 0 + g*s**2 - 2/19*s**3 - 8/19*s.
-2*s*(s - 2)**2/19
Let q = -418638/5 - -83728. Find c such that -2/5*c**4 + 0*c - q*c**2 + 0 + 4/5*c**3 = 0.
0, 1
Let d be 304/(-760)*60/(-108). Find z such that -2/9*z**5 + d*z**4 - 8/9*z + 8/9 - 10/9*z**2 + 10/9*z**3 = 0.
-2, -1, 1, 2
Find o, given that 213/4*o - 9/2*o**2 - 615/4 = 0.
5, 41/6
Factor 86*f + 259/3 - 1/3*f**2.
-(f - 259)*(f + 1)/3
Suppose 3*m + 45 = -2*d, -871 + 841 = 5*d + 2*m. Suppose d - 38/9*j - 15*j**2 - 7/9*j**3 = 0. What is j?
-19, -2/7, 0
Let v(i) = 32*i - 188. Let k be v(6). Factor 108*d**4 - 96*d**4 + d**5 - 16*d**2 + k*d**5 - d**5.
4*d**2*(d - 1)*(d + 2)**2
Let x be (27/6)/(3/6 + 0). Let 20*u + 19*u**2 - 7*u**2 - 11*u - x*u**2 = 0. What is u?
-3, 0
Let z(v) be the second derivative of 1/4*v**4 - v + 89*v**3 - 48 + 23763/2*v**2. Factor z(p).
3*(p + 89)**2
Let b(j) = -147*j + 594. Let p be b(4). Let v(f) be the second deriva