5 + 99. Find c such that 17*c**w + 60*c**2 - 15*c**2 - 50*c**3 - 12*c**4 = 0.
0, 1, 9
Suppose 8*v = -205 - 59. Let y = v + 35. Factor y*t**5 + 4*t**4 - 20*t**2 + 20*t**2 - 7*t**3 + t**3.
2*t**3*(t - 1)*(t + 3)
Suppose -5*o - 65 = -80. Factor -8/7*t**o + 0 + 4/7*t**4 - 4/7*t**2 + 8/7*t.
4*t*(t - 2)*(t - 1)*(t + 1)/7
Let q(d) = 3528*d - 321045. Let f be q(91). Factor 12*c - 11*c**2 - 1/2*c**4 - 12*c**f + 23/2.
-(c - 1)*(c + 1)**2*(c + 23)/2
Let x(f) be the third derivative of 2*f**7/105 + 37*f**6/30 - 26*f**5/5 + 709*f**2 - 4*f. Factor x(w).
4*w**2*(w - 2)*(w + 39)
Let h be ((-8)/(-20))/(84/(-45) - -2). Let y(a) be the third derivative of -1/12*a**4 + 0 + 0*a**h + 1/30*a**5 + 0*a + 11*a**2. Factor y(c).
2*c*(c - 1)
Factor -14/3*n**2 + 130/3*n - 12.
-2*(n - 9)*(7*n - 2)/3
Let p be 5260/1578 + (-24)/18. Factor -2/3*v**p + 2/9*v - 2/9*v**3 + 2/3.
-2*(v - 1)*(v + 1)*(v + 3)/9
Suppose 5*k = 10*k - 5. Let c(w) = w + 1. Let l(t) = 4*t**2 + 26*t + 30. Let f(h) = k*l(h) - 6*c(h). Factor f(v).
4*(v + 2)*(v + 3)
Suppose 4*l + 4 = 3*s, 0 = -s + 3*l + 87 - 84. Let i = 391 + -388. Factor s - 3/5*z**2 + 1/5*z**i - 4/5*z.
z*(z - 4)*(z + 1)/5
Let s be -10*10/(-25) + 41. Factor 3*b**5 - b**3 - 40*b - s*b**2 + 36*b**3 + 282*b**4 + 2*b**5 - 237*b**4.
5*b*(b - 1)*(b + 1)**2*(b + 8)
Let m(r) = 5*r**4 - 153*r**3 + 13*r**2 + 141*r. Let q(z) = -2*z**3 - 3*z**2 + 4*z. Let c(o) = -m(o) - 6*q(o). Solve c(l) = 0 for l.
-1, 0, 1, 33
Find g, given that 240 - 4/3*g**2 + 4*g = 0.
-12, 15
Let v(f) be the first derivative of f**4/44 - 127*f**3/33 - 260*f**2/11 - 524*f/11 + 3379. Factor v(i).
(i - 131)*(i + 2)**2/11
Suppose -30*o = -20*o - 1420. Factor 10 - 76*p**3 + 0*p**2 - 2*p**2 - 2 + 24*p - 72*p**3 + o*p**3.
-2*(p - 2)*(p + 2)*(3*p + 1)
Let -431 - f**4 + 410 - 321*f + 121*f + 396 - 150*f**2 - 24*f**3 = 0. What is f?
-15, -5, 1
Suppose -2 = 3*t - 5. Let l be -3 + (-130)/(-25) + (-1 - t). Factor m + l*m**2 + 0.
m*(m + 5)/5
Factor -360*i**3 - 42*i**4 - 136012 + 4760*i**2 - 2*i**5 - 1160*i**3 - 3*i**5 + 66640*i - 133*i**4 - 1188.
-5*(i - 5)*(i - 2)*(i + 14)**3
Let h = 721/2046 - 13/682. Factor 4/3*p + 4 - p**2 - h*p**3.
-(p - 2)*(p + 2)*(p + 3)/3
Let l(t) be the third derivative of -t**5/300 + 13*t**4/30 - 21*t**3/2 - 2*t**2 + 619. Factor l(s).
-(s - 45)*(s - 7)/5
Let j(l) = 3*l**2 + 293*l - 12121. Let z be j(-129). Find g such that 0*g + 0 + 3/2*g**z + 0*g**2 - 6*g**3 + 0*g**4 = 0.
-2, 0, 2
Find y such that 2/17*y**2 - 286/17 - 284/17*y = 0.
-1, 143
Let n(o) be the third derivative of 0 - 4/65*o**5 + 25/39*o**3 - 5/78*o**4 + 6*o**2 - 1/1365*o**7 - o + 1/78*o**6. Find k, given that n(k) = 0.
-1, 1, 5
Let b be (-4060)/126 + (-2)/(-9). Let w be (192/(-30))/(b/(-20) + -2). Factor y - w*y**3 - 14*y**2 - 16*y**4 - y + 14*y**4.
-2*y**2*(y + 1)*(y + 7)
Let z(y) be the first derivative of -y**3/3 + 699*y**2 + 1399*y - 2615. Factor z(d).
-(d - 1399)*(d + 1)
Let f(w) be the first derivative of 25*w**4/7 - 3760*w**3/21 - 758*w**2/7 - 152*w/7 + 1139. Determine n so that f(n) = 0.
-1/5, 38
Let g(x) be the first derivative of x**4/4 + 8*x**3/3 - 7*x**2/2 + 21*x + 1. Let m be g(-9). Determine u, given that u**2 + u**2 + 4 - u**2 + m*u + u = 0.
-2
Suppose -2357 = -215*o - 1067. Factor -o + 1/3*i**3 - 3*i + 2/3*i**2.
(i - 3)*(i + 2)*(i + 3)/3
Let g be ((-8)/(-10))/(21 + (-297)/15). Let u(l) be the second derivative of -21*l + 0 + 0*l**2 - 2/3*l**3 + g*l**4. Find d, given that u(d) = 0.
0, 1/2
Factor 528 - 119*p - 282 + 43*p - 2*p**2.
-2*(p - 3)*(p + 41)
Let r(j) be the second derivative of 1/5*j**5 - 40/3*j**3 + 2/3*j**4 + 0 + 48*j**2 + 44*j. Factor r(m).
4*(m - 2)**2*(m + 6)
Find u, given that 7*u**4 - 1/2*u**5 + 28 - 35*u**2 + 41/2*u - 20*u**3 = 0.
-1, 1, 7, 8
Let -175/3*k**2 + 41/3*k**3 - 1875*k + 0 - 1/3*k**4 = 0. What is k?
-9, 0, 25
Let x(d) = d**3 + 3*d**2 + 2*d + 28. Let f be x(-4). Suppose 10 = 2*t - 4*b + 5*b, -f*t + 28 = 4*b. Factor 3/2*g**4 - 9/2*g**2 - 3 + 3/2*g**t - 15/2*g.
3*(g - 2)*(g + 1)**3/2
Let t be -2*(-4 + 2/1) + (-23712)/11115. Suppose -2/15*i**3 - 128/15*i - 64/5 - t*i**2 = 0. Calculate i.
-6, -4
Factor -2352 - 49/4*d**3 - 101*d**2 - 1/4*d**4 + 1204*d.
-(d - 4)*(d - 3)*(d + 28)**2/4
Let b = -51680 + 51682. Factor h + 5/4*h**b + 0 + 1/4*h**3.
h*(h + 1)*(h + 4)/4
Let x = -209 - -223. Factor -3*s - s - 51*s**2 - x*s**2 - s.
-5*s*(13*s + 1)
Let k be ((-2)/(-9) - (-606)/(-540))*11795/(-1011). Factor -k*c - 58*c**2 + 1.
-(4*c + 1)*(29*c - 2)/2
Let n(a) be the second derivative of -5/3*a**3 + 15/8*a**4 + 0 + 27/2*a**2 - 11*a - 1/6*a**6 - 1/4*a**5. Let i(f) be the first derivative of n(f). Factor i(w).
-5*(w - 1)*(w + 2)*(4*w - 1)
Let g(r) be the third derivative of -1/3*r**4 - 8*r**2 + 1/30*r**5 + 0*r - 9 - 4*r**3. What is s in g(s) = 0?
-2, 6
Let k(v) be the second derivative of 5*v**7/42 - v**6 - v**5/4 + 85*v**4/6 - 10*v**3 - 100*v**2 + v - 9. Solve k(m) = 0 for m.
-2, -1, 2, 5
Let p be (-161)/(-14) - ((-12)/(-9))/(96/(-144)). Factor -3/4*t**2 + p + 51/4*t.
-3*(t - 18)*(t + 1)/4
Let u(k) = k**3. Let p(z) = 2*z**3 + 7*z + 2*z**3 - 2*z**2 - 6*z**2 + 2*z**3. Suppose 440 = -3*t + 455. Let i(g) = t*u(g) - p(g). Factor i(d).
-d*(d - 7)*(d - 1)
Let o(h) = 5*h**3 - 41*h**2 + 81*h - 39. Let a(g) = 5*g**3 - 40*g**2 + 80*g - 40. Let s(i) = 6*a(i) - 5*o(i). Factor s(z).
5*(z - 3)**2*(z - 1)
Let q be (2/(-3) - 0)*234/1560 - 273/(-630). What is s in -4 - 4/3*s**3 - q*s**5 + 5/3*s + 6*s**2 - 2*s**4 = 0?
-4, -3, -1, 1
Suppose m - 5*s + 22 = 0, -12 = -47*m + 48*m - 3*s. Let v(g) be the third derivative of 0 + 1/570*g**5 + 7/228*g**4 + 0*g + 11*g**2 + 2/19*g**m. Factor v(o).
2*(o + 1)*(o + 6)/19
Let q(o) be the second derivative of o**6/5 + 97*o**5/10 + 5*o**4 - 64*o**3/3 + 4056*o. Factor q(y).
2*y*(y + 1)*(y + 32)*(3*y - 2)
Let -344*g**4 + 14/3*g**5 + 296/3*g - 310/3*g**3 + 344*g**2 + 0 = 0. What is g?
-1, -2/7, 0, 1, 74
Let i(o) = -o**3 + 98*o**2 + 197*o + 300. Let d be i(100). Suppose 2*y**2 + 1/9*y**4 - y**3 + d*y + 0 = 0. Calculate y.
0, 3, 6
Suppose -45 = -4*o + 3*w, -3145*o + 4*w = -3151*o - 26. Factor 0 - 8/9*j - 2/3*j**2 + 14/9*j**o.
2*j*(j - 1)*(7*j + 4)/9
Let s = -47600 + 47602. Factor -11/10*k + 1 + 1/10*k**s.
(k - 10)*(k - 1)/10
Let l(m) be the third derivative of -1/20*m**5 + 0 + 1/6*m**4 + 18*m**2 + 1/180*m**6 - 4*m**3 + 0*m. Let p(s) be the first derivative of l(s). Factor p(b).
2*(b - 2)*(b - 1)
Let n(o) be the third derivative of -43*o**5/90 + 269*o**4/9 - 25*o**3/9 + 5144*o**2. Determine b so that n(b) = 0.
1/43, 25
Let w = 1657/177 + -5/177. Let n = 89/102 + 231/34. Solve -8/3*k**3 + 1/3*k**4 + n*k**2 + 4 - w*k = 0 for k.
1, 2, 3
Let r(s) be the third derivative of -s**5/15 - 19*s**4/6 - 12*s**3 + 728*s**2. Factor r(h).
-4*(h + 1)*(h + 18)
Let k = -148 + 152. Factor 5*w**2 + 7 + 15*w - k - 53.
5*(w - 2)*(w + 5)
Suppose 3*a + 1 = -2. Let s be (-2 + -11)/(a + 0/(-1)). Determine y, given that -s*y + y + 18*y**4 - 2 - 16*y**2 + 17*y**3 - 5*y**3 = 0.
-1, -1/3, 1
Let u(s) be the second derivative of s**4/114 + 4*s**3/19 - 160*s**2/19 + 6223*s. Let u(j) = 0. Calculate j.
-20, 8
Let b be 16/192*8 + 4/(-6). Let k(x) be the first derivative of -x**4 + 6*x**2 + 8/3*x**3 + 29 + b*x. Factor k(d).
-4*d*(d - 3)*(d + 1)
Let p = -102 + -244. Let o be 519/p*(0 - 4/3). Determine j so that 3/4*j**5 - 3/4*j**3 + 9/4*j**4 - 33/4*j**o - 3 - 9*j = 0.
-2, -1, 2
Let l(b) be the third derivative of b**7/1120 - 7*b**6/240 + 13*b**5/160 + 58*b**3/3 - 42*b**2. Let w(m) be the first derivative of l(m). Factor w(y).
3*y*(y - 13)*(y - 1)/4
Let k(o) = 20*o - 67. Let p be k(10). Suppose p*d - 132*d = 2. Factor -100*m + 0*m**2 - 141 - 359 + 2*m**2 - 7*m**d.
-5*(m + 10)**2
Factor -4/3*t**2 - 7474756/3 - 10936/3*t.
-4*(t + 1367)**2/3
Let g be (-2)/(-11) - (-2493)/(-99). Let j = -13 - g. Factor 9*b + 15*b**3 - 7*b**2 + 6*b**2 - j*b**3 - 8*b**2 - 3.
3*(b - 1)**3
Let m = 450163 + -450160. Let -2/9*x**2 + 2/9*x**5 + 0 + 2/9*x**4 - 2/9*x**m + 0*x = 0. Calculate x.
-1, 0, 1
Let r(j) be the first derivative of -j**5/10 + 5*j**4/6 - 7*j**3/3 + 3*j**2 - 38*j + 85. Let l(u) be the first derivative of r(u). Suppose l(g) = 0. What is g?
1, 3
Suppose -4329 = -8*h + 815. Suppose 11*g + 115 = h. Suppose 59*d - 128*d**3 - 403*d**4 - 4 - 43*d + g*d**2 + 147*d**4 = 0. Calculate d.
-1/2, 1/4
Let n(y) be the second derivative 