(-95)/(-15) + -13)*1/(-10). Suppose u + 10*a**2 + 10/3*a**4 - 13/3*a - 29/3*a**3 = 0. What is a?
2/5, 1/2, 1
Let p = 5727 - 5724. Find v, given that 6/13*v**p - 2/13*v**4 + 0 + 0*v**2 + 0*v = 0.
0, 3
Suppose -2*k = 177 - 183. Find g such that 5*g**4 + 40 + 27232*g**3 - 18*g**2 - 2*g**4 - 27224*g**k - 32*g - g**4 = 0.
-5, -2, 1, 2
Suppose 4*h - 2*f - 44 = 0, 5*f - 4 = -4*h + 26. Factor h*m + 11*m - 3*m**3 - 51*m + 21*m**2.
-3*m*(m - 5)*(m - 2)
Determine i so that -1102 - 529 - 231*i + i**2 - 280*i - 22*i + 561 = 0.
-2, 535
Let c(l) = -6*l**3 + 56*l**2 - 168*l - 234. Let r(x) = -2*x**3 - 4*x**2 - x - 1. Let o(m) = -c(m) + 2*r(m). Find v, given that o(v) = 0.
-1, 4, 29
Suppose 27 = k + 3*t, 7*t - 3*t + 29 = 3*k. Factor 80 - 8*f**2 - 3*f**3 - k*f + 18*f**2 + 2*f**2 - 74.
-3*(f - 2)*(f - 1)**2
Let m(j) be the second derivative of 3*j**5/20 + 697*j**4/4 + 60900*j**3 + 181656*j**2 - 3*j + 325. Suppose m(d) = 0. What is d?
-348, -1
Let h(q) be the third derivative of -1/1200*q**6 + 0 + 1/200*q**5 - 1/20*q**3 - 185*q**2 + 1/240*q**4 + 0*q. Solve h(g) = 0.
-1, 1, 3
Let g(r) be the third derivative of -1/12*r**5 + 55/24*r**4 + r - 25/3*r**3 + 0 - 27*r**2. Factor g(c).
-5*(c - 10)*(c - 1)
Let r be 2/24 - (21/70)/((-259)/(-35) - 11). Let m = -26 - -157/6. Factor r*a - m*a**3 + 1/6 - 1/6*a**2.
-(a - 1)*(a + 1)**2/6
Let u(v) be the first derivative of -5/4*v**4 - 2 + 185/2*v**2 + 150*v + 10*v**3. Factor u(q).
-5*(q - 10)*(q + 1)*(q + 3)
Let w(q) be the first derivative of 127 - q**2 - 4/5*q + 14/15*q**3. Factor w(b).
2*(b - 1)*(7*b + 2)/5
Let q be -1*8 + 8*(-18)/(-48). Let l be q + (2/(-11) - (-114)/22). Factor 0*u + l - 1/4*u**2.
-u**2/4
Let b(z) be the first derivative of -2*z**3/3 - 3*z**2 + 56*z + 1095. Factor b(n).
-2*(n - 4)*(n + 7)
Let m(n) be the first derivative of -28*n**6/3 - 76*n**5/5 + 8*n**4 + 76*n**3/3 + 12*n**2 - 6273. Suppose m(o) = 0. Calculate o.
-1, -6/7, -1/2, 0, 1
Suppose 19 = 4*y - 3*u, 3*u - 14 = 2*y - 25. Let w(d) be the third derivative of -20/3*d**3 + 0*d - 15/4*d**y + 6*d**2 + 5/12*d**5 + 0. Factor w(h).
5*(h - 4)*(5*h + 2)
Solve 1/4*m**2 - 285/4*m + 71 = 0.
1, 284
Find o such that 2/13*o**2 + 136/13*o + 264/13 = 0.
-66, -2
Let x(c) be the second derivative of 5*c**4/12 + 4675*c**3 + 39340125*c**2/2 - 14*c - 42. Factor x(b).
5*(b + 2805)**2
Let q(l) = 66*l + 50*l**3 - 60*l**3 + 2*l**4 - 10*l - 11*l**2 + l**4. Let v(y) = -9*y**4 + 29*y**3 + 34*y**2 - 169*y. Let x(s) = -7*q(s) - 2*v(s). Factor x(i).
-3*i*(i - 3)**2*(i + 2)
Let s(a) = -48*a**2 + 369*a + 384. Let k(q) be the first derivative of -q**3 + 23*q**2/2 + 24*q - 29. Let b(y) = -33*k(y) + 2*s(y). Find m such that b(m) = 0.
-1, 8
Suppose 4017*z + 1833 = 1280 + 3227 + 5360. Suppose 1/2*v**3 + 0*v**z + 0*v + 1/4*v**5 + 0 - 3/4*v**4 = 0. Calculate v.
0, 1, 2
Let b(c) be the second derivative of -c**7/105 - c**6/5 - 53*c**5/50 - 5*c**4/6 + 18*c**3/5 + 8*c**2 + 1432*c. Suppose b(f) = 0. Calculate f.
-10, -4, -1, 1
Let v(w) be the second derivative of -85*w + 0 + 2/33*w**3 - 1/11*w**2 + 1/22*w**4. Suppose v(i) = 0. What is i?
-1, 1/3
Let d(l) = -5*l**3 + 5*l**2 + 21*l - 3. Let u be d(6). Let b be -1 + u/133 + 8. Solve 12/19*g**3 - 18/19*g**4 - 8/19*g - 8/19 + b*g**2 = 0 for g.
-2/3, 1
Let i(w) be the third derivative of 0*w**4 - 2/105*w**7 + 3*w + 5*w**2 + 0 + 0*w**3 + 1/15*w**6 - 1/15*w**5. Factor i(f).
-4*f**2*(f - 1)**2
Let f be ((1776/(-27))/8 - -8)/(5/(-45)). Let 9/8*u - 3/4 - 3/8*u**f = 0. Calculate u.
1, 2
Let x be (4/3 + -1)/(8880/1332). Let r(p) be the second derivative of -2*p**2 - 3*p + 1/12*p**4 + 2/3*p**3 + 0 - x*p**5. Factor r(z).
-(z - 2)*(z - 1)*(z + 2)
Suppose 5*h - 16 = -1. Factor -5*t**4 + 12*t - t - 5*t**h - 8*t + 5*t**2 + 2*t.
-5*t*(t - 1)*(t + 1)**2
Let s = -21835 + 130541/6. Let m = s - -3403/42. Factor -m*u**3 + 32/7 - 80/7*u + 66/7*u**2 + 2/7*u**4.
2*(u - 4)**2*(u - 1)**2/7
Let g = -78195 - -78197. Factor g + 51/7*y**2 + 69/7*y - 4/7*y**3.
-(y - 14)*(y + 1)*(4*y + 1)/7
Let u(i) = -5*i + 9. Let f be u(10). Let d = 45 + f. Let -49*r**d - 39*r**2 - 28 - 68*r + 212*r**3 - 44*r**3 + 16 = 0. Calculate r.
-2/7, 1, 3
Let y(j) be the first derivative of 0*j**2 - 13*j + 2*j**3 + 1/4*j**4 - 19. Let d(x) be the first derivative of y(x). Factor d(u).
3*u*(u + 4)
Suppose w = 6*w - m - 25, -3*m - 25 = -5*w. Factor -3*v**4 + 12*v**w + 8*v**4 - 21*v**4 + 4*v**3.
4*v**3*(v - 1)*(3*v - 1)
Let o(b) be the first derivative of 2*b**5/115 - 338*b**4/23 + 101248*b**3/23 - 11236720*b**2/23 - 46172704*b/23 + 9059. What is h in o(h) = 0?
-2, 226
Let q(n) be the third derivative of -14*n + 36*n**3 + 0 + n**2 + 1/360*n**5 - 1/2*n**4. Factor q(h).
(h - 36)**2/6
Factor 25/4*j + 0 + 1/4*j**2.
j*(j + 25)/4
What is z in 5*z**2 - 220 + 1545*z - 44 - 2*z**2 - 1419*z = 0?
-44, 2
Let l be (-612)/54*(-12)/85. Solve -2/5*i**3 - l*i**2 - 64/5 + 56/5*i = 0 for i.
-8, 2
Let x be ((-17)/3 - -6)*21. Suppose -x*z - 4 = -18. Factor -42/5*m + 3/5*m**z + 147/5.
3*(m - 7)**2/5
Let s(j) be the second derivative of -j**4/42 - 324*j**3/7 + 139*j**2 + 2*j + 1009. Solve s(k) = 0.
-973, 1
Let g be (-10 - (-7 - 4)) + -5. Let q(b) = -b**2 - 1. Let p(f) = -f**2 - 3*f - 6. Let s = -1 - -3. Let u(x) = g*q(x) + s*p(x). Solve u(d) = 0 for d.
-1, 4
Let q be (-272)/(-24) - 3 - 1/3. Let a(r) = 2*r**3 + 21*r**2 + 52*r + 45. Let l(z) = -6*z**3 - 62*z**2 - 156*z - 136. Let s(k) = q*a(k) + 3*l(k). Factor s(j).
-2*(j + 2)*(j + 3)*(j + 4)
Let b(c) be the third derivative of 0*c + 111*c**2 - 1/4*c**4 + 0 - 1/90*c**5 + 10/9*c**3. Factor b(s).
-2*(s - 1)*(s + 10)/3
Let h be ((-585)/12)/(-3) - (-2205)/(-147). Factor -3/2 - h*u**2 + 17/4*u.
-(u - 3)*(5*u - 2)/4
Suppose 82 = 4*d - 2*i, 20*d + 98 = 25*d + 2*i. Let c(u) be the third derivative of 0*u + 0 + 0*u**3 - d*u**2 + 5/16*u**4 - 3/20*u**5 + 1/80*u**6. Factor c(j).
3*j*(j - 5)*(j - 1)/2
Determine a, given that -a**2 - 1502*a + 4494*a - 1482*a - 1481*a = 0.
0, 29
Let u(n) = -11*n + 1. Let f be u(1). Let h be (2/(-2))/((f/(-3))/(-10)). Determine j, given that -7*j + 11*j + 11*j**2 - j + 5*j**h - 3*j**4 = 0.
-1, -1/3, 0, 3
Let s(o) be the second derivative of 0 + 171*o - 7/15*o**6 + 83/50*o**5 + 4/105*o**7 - o**3 + 0*o**2 - 37/30*o**4. Find y, given that s(y) = 0.
-1/4, 0, 1, 3, 5
Factor -1/7*n**2 + 516/7*n + 517/7.
-(n - 517)*(n + 1)/7
Let t = 143 - 134. Suppose 13 = 2*s + t. Let -2*d**2 - s*d**4 - 2*d**3 + 100*d - 100*d - 2*d**3 = 0. Calculate d.
-1, 0
Let l = 595 - -23. Factor -20 + l*x - 333*x - 5*x**5 + 10*x**4 - 320*x + 10*x**2 + 40*x**3.
-5*(x - 4)*(x - 1)*(x + 1)**3
Let r = -249/1054 + 11/62. Let n = r + 241/51. Factor -4*k + n - 2/3*k**2.
-2*(k - 1)*(k + 7)/3
Let n(s) = 3*s**3 - 12939*s**2 + 8372173*s - 8359167. Let q(y) = 80*y**3 - 349355*y**2 + 226048670*y - 225697470. Let t(j) = -55*n(j) + 2*q(j). Factor t(u).
-5*(u - 1293)**2*(u - 1)
Let p be 30/9 - (-2)/(-6). Suppose -3 = p*n - 12. Determine o so that -4*o**3 + 5*o**4 - 24*o**n + 28*o**5 - 8*o**2 + 3*o**4 = 0.
-1, -2/7, 0, 1
Let x(d) be the second derivative of -d**7/336 + 23*d**6/240 - 11*d**5/80 - 1240*d. Factor x(u).
-u**3*(u - 22)*(u - 1)/8
Suppose 72*a - 20*a = -28*a - 42*a + 366. Factor 2/9*b**4 + 0 - 14/9*b**2 - 7/9*b**a - 5/9*b.
b*(b - 5)*(b + 1)*(2*b + 1)/9
Suppose -w - c = -0*c - 11, 4*w - 3*c - 23 = 0. Let v(b) be the second derivative of -1/3*b**4 + 2*b**2 - w*b + 0*b**3 + 0. Factor v(j).
-4*(j - 1)*(j + 1)
Suppose 4*r + 4*z = 0, -z + 3*z = -5*r. Factor 481*u - 4*u**2 - 12 + r*u**2 + u**2 - 497*u + u**3.
(u - 6)*(u + 1)*(u + 2)
Let t(u) be the second derivative of -u**3 - 1/12*u**4 + 0 + 125*u + 0*u**2. Factor t(j).
-j*(j + 6)
Let c(k) be the second derivative of k**5/20 - 101*k**4/9 + 134*k**3/9 + 1463*k. Suppose c(r) = 0. Calculate r.
0, 2/3, 134
Let o be 8 - 4/24*6. Let c be ((182/(-117))/o)/((-5)/9). Suppose -2/15*i**5 + 4/5*i**4 + 4/3*i**2 - 8/5*i**3 - c*i + 0 = 0. Calculate i.
0, 1, 3
Let q(c) be the second derivative of -c**5/50 + 7*c**4/15 - 7*c**3/3 + 22*c**2/5 + 4356*c. Suppose q(a) = 0. Calculate a.
1, 2, 11
Let j(x) be the second derivative of 21*x + 0*x**2 - 2*x**4 - 7 + 4/5*x**6 - 8*x**3 + 1/14*x**7 + 9/4*x**5. Factor j(l).
3*l*(l - 1)*(l + 1)*(l + 4)**2
Determine s, given that -1775*s**2 + 5*s**3 - 1150*s - 2588*s - 3189*s**2 - 2047*s - 816*s**2 = 0.
-1, 0, 1157
Let f(p) = -p**3 + 35*p**2 