x - 38)*(x + 8)
Let t be 820/(-123)*27/(-5). Determine h so that 6*h - 1/4*h**2 - t = 0.
12
Let j be (-8 + 72/27)*3/(-56). What is r in -26/7*r - 12/7 - 2*r**2 + 2/7*r**4 + j*r**3 = 0?
-2, -1, 3
Factor -2/13*c**3 + 256/13 - 328/13*c + 74/13*c**2.
-2*(c - 32)*(c - 4)*(c - 1)/13
Let y(d) be the second derivative of -21*d + 1/16*d**4 + 1 + 150*d**2 - 5*d**3. Factor y(f).
3*(f - 20)**2/4
Factor -12*a**2 + 3/4*a**3 + 153/4*a - 27.
3*(a - 12)*(a - 3)*(a - 1)/4
Let z be (-526)/(-10) - (-753 + 793). Find a, given that -1/5*a**3 + 3*a**2 - z*a + 81/5 = 0.
3, 9
Let k(l) = 70*l**3 + 4404*l**2 + 371980*l + 10292140. Let r(v) = 8*v**3 + 489*v**2 + 41331*v + 1143571. Let s(b) = 6*k(b) - 52*r(b). Factor s(z).
4*(z + 83)**3
Let n(g) be the first derivative of 10*g**2 + 4/9*g**3 + 56/3*g + 2. Factor n(h).
4*(h + 1)*(h + 14)/3
Suppose 18 = 3*n + 6*n. Suppose 5*c = -f + 9*c + n, 2*c = 0. Solve 0 + 1/4*b**4 + 3*b**2 + f*b + 3/2*b**3 = 0.
-2, 0
Let t be (148 - 154)*((-9)/4 - (-2)/1). Solve -9/2*n**2 + 0*n + 6 + t*n**3 = 0 for n.
-1, 2
Let b(y) be the second derivative of y**5/40 - 241*y**4/24 + 1220*y**3 - 3600*y**2 + y + 92. Find v, given that b(v) = 0.
1, 120
What is k in 8/3*k - 1/9*k**2 - 140/9 = 0?
10, 14
Solve 0*f**2 - 1910/3*f**3 + 0 + 0*f - 5/3*f**4 = 0.
-382, 0
Let o(v) be the first derivative of -v**7/4200 - 13*v**6/600 - 3*v**5/5 + 10*v**4/3 + 56*v**3 - 11. Let m(q) be the third derivative of o(q). Factor m(s).
-(s - 1)*(s + 20)**2/5
Suppose -16*q = -0*q + 18400. Let f be (-4)/(-14) + q/(-105)*6. Factor 2 - 24*c - 14*c**3 + 2*c**4 - 2 - f*c**2 + 98*c**2.
2*c*(c - 3)*(c - 2)**2
Factor -2/5*n**3 - 1122/5*n - 116/5*n**2 + 17424/5.
-2*(n - 8)*(n + 33)**2/5
Suppose 5248 = 76*f + 6*f. Suppose o = 52 - 16. Determine l, given that 30*l**2 - 34*l**2 + 4*l - f - o*l = 0.
-4
Let l(u) be the first derivative of -14*u**3 - 187*u**2 + 36*u - 141. Factor l(w).
-2*(w + 9)*(21*w - 2)
Let -56*b**2 - 32*b**3 - 8 - 20*b**5 + 38*b + 14*b + 202*b**4 - 138*b**4 = 0. Calculate b.
-1, 1/5, 1, 2
Factor -1/6*w + 0 + 28/3*w**2.
w*(56*w - 1)/6
Let u(s) be the first derivative of 1/6*s**4 - 54*s + 33*s**2 - 38/9*s**3 + 50. Find g such that u(g) = 0.
1, 9
Solve -1788/7*q**2 + 4/7*q**3 + 200700/7*q - 198916/7 = 0 for q.
1, 223
Let f(q) be the second derivative of q**7/105 + q**6/25 - 11*q**5/50 - q**4/10 + 2*q**3/3 + 2904*q. Let f(h) = 0. What is h?
-5, -1, 0, 1, 2
Suppose 3*n = 2*s + 2 + 5, -5*n = s - 16. What is f in -f**3 + 4*f**4 + f**5 + 4*f**3 + 0*f**2 + 2*f**n + 2*f**2 = 0?
-2, -1, 0
Let a(k) be the second derivative of k**9/3024 - k**8/420 + k**7/210 - k**3/3 - k + 2. Let y(p) be the second derivative of a(p). Factor y(q).
q**3*(q - 2)**2
Find r, given that -6*r**2 + 1/2*r**3 + 0 - 45/2*r = 0.
-3, 0, 15
Factor 66*i + 42 + 102 - 75*i**2 + 64*i**3 - 61*i**3.
3*(i - 24)*(i - 2)*(i + 1)
Let s(d) be the second derivative of -5*d**4/36 - 565*d**3/18 + 290*d**2 + 30*d + 92. Factor s(l).
-5*(l - 3)*(l + 116)/3
Let y be 3 - (4 + -2 + -1). Let q(b) = 9*b - 151. Let v be q(17). Determine c, given that -7*c - 3*c - 6*c**v + 3*c**y - 2*c**2 = 0.
-2, 0
Let g(w) be the third derivative of -w**6/1080 + w**5/540 + 19*w**4/54 + 70*w**3/27 - 108*w**2. Determine n so that g(n) = 0.
-7, -2, 10
Factor 52592907/5*m - 73402167203/5 - 12561/5*m**2 + 1/5*m**3.
(m - 4187)**3/5
Let j(f) be the first derivative of 6*f**3/17 + 188*f**2/17 - 42*f/17 - 2366. Find i such that j(i) = 0.
-21, 1/9
Let j(u) be the second derivative of 0 - 19/4*u**5 + 0*u**2 + 7*u - 175/12*u**4 - 85/6*u**3 - 1/6*u**6. Factor j(a).
-5*a*(a + 1)**2*(a + 17)
Suppose -2*w - 3 = 5*k, -10 = 5*w - 5*k - 55. Let x be ((-18)/w)/(9/(-120)). Factor -5*b**5 + b**4 + 20 + 25*b**3 + 5*b**2 - 7*b**4 + 0*b**4 - x*b + b**4.
-5*(b - 1)**3*(b + 2)**2
Factor -13*x**3 + 6*x**2 + 12*x**3 - 6 + x + 0*x**2 + 4*x**2 - 4*x**2.
-(x - 6)*(x - 1)*(x + 1)
Let o(t) be the first derivative of -t**4/16 + 29*t**3/12 - 239*t**2/8 + 595*t/4 - 7333. Solve o(f) = 0 for f.
5, 7, 17
Suppose 3*n + 5*n - 64 = 0. Let l(k) = -k**2 + 8*k + 5. Let y be l(n). Factor 58*c**4 + 6*c**2 - 58*c**4 - 6 + 9*c + 3*c**y - 12*c**3.
3*(c - 1)**3*(c + 1)*(c + 2)
Suppose 75 - 173 = 39*m - 215. Determine g so that -6/11*g**2 + 8/11*g + 1/11*g**m + 0 = 0.
0, 2, 4
Let y = 230151878/1266559 - 2/180937. Let w = -180 + y. Factor w + 10/7*l - 2/7*l**2.
-2*(l - 6)*(l + 1)/7
Let z = 813 - -1320. Let i = -44785/21 + z. Factor 2/21*u**4 + 10/21*u**3 - 16/21 - i*u + 4/7*u**2.
2*(u - 1)*(u + 2)**3/21
Let t = 6741 + -4280. Determine b, given that -20*b - 2466*b**2 + 1 + t*b**2 - 2 + 1 = 0.
-4, 0
Let w(m) be the first derivative of -58/21*m**3 + 195/7*m**2 + 1/14*m**4 + 450/7*m + 72. What is v in w(v) = 0?
-1, 15
Let f(u) be the third derivative of -u**7/315 - 13*u**6/36 - 61*u**5/45 + 65*u**4/9 + 56*u**3 + 25*u**2 - 21*u. Solve f(o) = 0 for o.
-63, -2, 2
Let s = -407 - -416. Let k be 90/s*(-4)/(-25). Factor -k*h**3 + 0*h + 0 + 0*h**2 + 4/5*h**5 - 4/5*h**4.
4*h**3*(h - 2)*(h + 1)/5
Suppose -420*a + 678*a - 1032 = 0. Factor -2/5*t**4 - 64/5*t**2 - a*t**3 + 0 - 64/5*t.
-2*t*(t + 2)*(t + 4)**2/5
Let l(i) = -i**3 + 14*i**2 + 33*i + 4. Let t be l(16). Determine h so that -4*h**3 + 1205*h + t - 66 - 18 - 1301*h - 36*h**2 = 0.
-4, -1
Let m be (((-33)/3)/22)/(1/2). Let n(l) = 5*l**2 + 6*l + 37. Let z(t) = -t**2 + 2*t - 1. Let q(f) = m*n(f) - 4*z(f). Solve q(y) = 0 for y.
-11, -3
Suppose 5 = j - 5*k, 0 = -3*j + 2*k - 289 + 356. Let h = 6 + 0. Find s such that j*s**3 + 45*s**2 - 10 - 4*s + 2*s - 35*s**4 - 17*s - h*s = 0.
-1, -2/7, 1
Let p = -166 - -174. Factor 75 + 958 + 4*i**2 + 263 + 152*i - p*i.
4*(i + 18)**2
Let g = 65626 + -65626. Find y, given that -1/5*y**2 + 9/5 + g*y = 0.
-3, 3
Let q(c) be the first derivative of 11 + 0*c + 0*c**4 + 1/60*c**6 + c**2 + 0*c**5 + 0*c**3. Let x(l) be the second derivative of q(l). Factor x(g).
2*g**3
Let u(h) be the third derivative of -h**5/20 + 11*h**4/4 - 3*h**2 - 151*h. Solve u(a) = 0 for a.
0, 22
Factor 38*d**4 + 2/5*d**5 + 1092/5*d**3 + 1424/5*d + 0 + 2152/5*d**2.
2*d*(d + 2)**3*(d + 89)/5
Let s be 141/23030*14 - 1/(-5). Factor -s*x**2 + 2*x + 88/7.
-2*(x - 11)*(x + 4)/7
What is r in -2939 + 1552 - 2069 - 7*r**3 + 332*r**2 - 3120*r + 3*r**3 = 0?
-1, 12, 72
Let v = 6532 - 6529. Factor 1/3*h**v + 1/3*h - 2/3*h**2 + 0.
h*(h - 1)**2/3
Suppose -6*x - 159 + 207 = 0. Let r be -6 - (12/x - 8). Determine n so that -r*n**2 + 4 + n = 0.
-2, 4
Let f(l) be the second derivative of -23*l**4/12 - 10*l**3 - 9*l**2 + 21*l + 1. Let y(a) = -22*a**2 - 60*a - 17. Let s(u) = -3*f(u) + 2*y(u). Factor s(n).
5*(n + 2)*(5*n + 2)
Let c(s) be the second derivative of -4/9*s**3 + 7/5*s**2 + 2*s - 1/90*s**4 + 1. Factor c(f).
-2*(f - 1)*(f + 21)/15
Suppose -4*o + z - 49 = -6*o, -89 = -4*o + z. Solve -37*f + 123*f**3 - 24*f**2 - 18*f**4 - 26*f**2 + 36 - o*f - 36*f**2 + 5*f**2 = 0.
-2/3, 1/2, 1, 6
Let k(f) = -f**2 - 19*f - 66. Let g be k(-5). Let z be (108/(-16) + 6)*g/(-6). Find o such that o**2 + 0 + 1/2*o + z*o**3 = 0.
-1, 0
Let s = -2217 - 475. Let p = s - -10893/4. Suppose -10 - 5/2*c**5 - 35/4*c**4 + 5/2*c + p*c**2 + 25/2*c**3 = 0. Calculate c.
-4, -1, 1/2, 2
Let q(b) be the third derivative of 12*b**2 - 1/72*b**5 + 1/80*b**6 + 1/144*b**4 - 1/180*b**7 + 0*b**3 + 0 + 0*b + 1/1008*b**8. Solve q(p) = 0 for p.
0, 1/2, 1
Suppose 0 = -4*n + 5014 + 3714. Factor -3*r**3 - 6*r**4 + r**5 + 2182*r + 0*r**5 + 12*r**3 - n*r - 4*r**2.
r**2*(r - 4)*(r - 1)**2
Let b be (2 + 6670/(-3230))*(-2)/(-6). Let y = b - -10385/2261. Factor 0 - 16/7*i**2 + 12/7*i**4 - y*i**3 + 0*i + 36/7*i**5.
4*i**2*(i - 1)*(3*i + 2)**2/7
Let c(b) = b**3 - b**2 - 8*b + 19. Let a be c(3). Suppose 0 = 4*z - h - a, 4*z + 2 = 23*h - 25*h. Factor 2/7*g - 4/21*g**z + 4/21.
-2*(g - 2)*(2*g + 1)/21
Let j(c) = 6*c + 4. Let u be j(1). Factor 14*r**4 + 6*r**5 + 18*r**4 + u*r**3 + 15*r**2 - 15*r**2.
2*r**3*(r + 5)*(3*r + 1)
What is o in 16/3 - 17/3*o + 1/3*o**2 = 0?
1, 16
Let t(n) = 36*n + 37. Let d be t(-1). Let r be ((-168)/15)/(-4) + d/5. What is w in -4/3*w + 0*w**2 + 0 + 4/3*w**r = 0?
-1, 0, 1
Let v(x) = -x**2 - 2*x + 38. Let t be v(0). Suppose 4*a = -4, -4*y + 4*a + t = 6. Factor j**2 - 12 - 10 + 3*j + 31 - y.
(j + 1)*(j + 2)
Let z be (264/50 + -6)/((-6)/10). Let s = -241 - -1211/5. Suppose z*h**2 + 3/5*h**3 - 3/5*h - s = 0. What is h?
-2,