*(c + 3)/5
Let k(b) be the third derivative of -b**8/560 - b**7/150 + 3*b**6/200 + 7*b**5/300 - b**4/20 - 18*b**2 + 2*b + 47. What is s in k(s) = 0?
-3, -1, 0, 2/3, 1
Factor 4/9*k**2 - 112/9*k - 128.
4*(k - 36)*(k + 8)/9
Suppose -j - 6*b + 24 = -10*b, 2*j + 3*b + 7 = 0. Let w be (j/(-6))/(5*(-1)/12). Let 16*n**2 + 234/5*n**3 + 0 + 162/5*n**4 + w*n = 0. Calculate n.
-1, -2/9, 0
Let 253*u**4 - 258*u**4 - 33*u**3 + 10*u**2 + 28*u**3 = 0. Calculate u.
-2, 0, 1
Let k(x) = x - 1. Let b(p) = -2*p + 18. Let y be b(9). Let a(c) = -6 - 2*c**2 - 8*c - 3*c**2 + y*c**2 - c. Let q(t) = -a(t) + 6*k(t). Let q(w) = 0. What is w?
-3, 0
Let d(a) be the second derivative of 0 + a + 9*a**3 - 34/5*a**2 + 2/15*a**4. Determine f so that d(f) = 0.
-34, 1/4
Suppose -7*x = -2*x - 3*k - 591, 3*k - 9 = 0. Suppose -x = -83*b + 53*b. Solve 1/4*w**3 + 1/8*w**2 + 0*w + 0 + 1/8*w**b = 0.
-1, 0
Factor 195*i**4 + 40*i**3 + 56*i**3 - 102*i**4 - 96*i**4.
-3*i**3*(i - 32)
Suppose 4*j - 2*o - 14 + 10 = 0, -5*j - 3*o + 27 = 0. What is v in 2*v**4 - 57 + 60*v**3 - 135 + 5*v**4 - j*v**4 + 144*v**2 - 16*v + 0*v**4 = 0?
-12, -2, 1
Let z be (-9)/(-33) + 770/12705. Determine p, given that -z*p**2 - 10/3 - 7/3*p = 0.
-5, -2
Suppose 1876627478*c - 2875323*c**2 + 1958*c**3 - 1/2*c**4 - 918609150481/2 = 0. Calculate c.
979
Let g(k) = -8*k**2 - 44*k - 12. Let f(t) = 2*t**2 - 1. Let s(z) = -13*z**2 - 6*z + 4. Let b(x) = 6*f(x) + s(x). Let j(u) = 44*b(u) - 6*g(u). Factor j(w).
4*(w - 2)*(w + 2)
Find s, given that -107/7*s**2 + 78/7*s**3 - 276/7 - 520/7*s = 0.
-3/2, -2/3, 46/13
Let b(t) be the third derivative of 10/3*t**3 + 0*t**4 - 1/4*t**5 + 1/24*t**6 - 184*t**2 + 0*t + 0. What is k in b(k) = 0?
-1, 2
Let m be 0*(-3)/12 - -2. Let w = 25 - 22. Factor -m*r**w + 28*r - 8 + 5*r**2 - 3*r**2 - 20*r.
-2*(r - 2)*(r - 1)*(r + 2)
Factor 448*s**2 - 443*s**2 + 54*s + 101*s + 150.
5*(s + 1)*(s + 30)
Let -623 + 33*d**3 + 17*d**3 - 314*d**2 + 515 - 46*d**2 + 378*d = 0. Calculate d.
3/5, 6
Let p(w) be the second derivative of w**4/12 - 1142*w**3/3 + 652082*w**2 - w + 1830. Let p(x) = 0. What is x?
1142
Let t(k) be the first derivative of k**4 - 496*k**3/3 + 7688*k**2 + 257. Determine a so that t(a) = 0.
0, 62
Let x = -639 + 639. Let c(b) be the third derivative of 1/4*b**4 + 0 + 1/20*b**5 + 0*b + x*b**3 - 3*b**2. Determine p, given that c(p) = 0.
-2, 0
Let o(u) be the second derivative of -u**4/108 + 29*u**3/27 + 59*u**2/18 - 2*u - 392. Factor o(l).
-(l - 59)*(l + 1)/9
Factor 158/13 - 12*d - 2/13*d**2.
-2*(d - 1)*(d + 79)/13
Let q be (-19 + 14)/(-1*1). Suppose 24 = 3*n + q*w, -2*w + 3 = -3*n + 2*w. Factor n*f**3 + 149*f - 6*f**2 - 73*f - 76*f.
3*f**2*(f - 2)
Let d(u) be the second derivative of u**5/30 + u**4/3 - 5*u**3/3 - 3*u**2 + 2*u - 11. Let z(o) be the first derivative of d(o). Determine i so that z(i) = 0.
-5, 1
Let w(l) be the second derivative of 1/42*l**7 - 14 + l**4 + 0*l**2 - 2/5*l**5 + 0*l**3 - 1/30*l**6 - l. Suppose w(m) = 0. What is m?
-3, 0, 2
Let m(t) be the third derivative of -t**7/70 - 17*t**6/8 - 462*t**5/5 - 441*t**4/2 + 1510*t**2. Let m(l) = 0. What is l?
-42, -1, 0
Let u = -42 + 84. Let d = u - 40. What is l in -23*l**2 - 24*l + 54*l**4 - 22*l**d + 12*l**3 - 10*l**4 + 12*l**5 + l**2 = 0?
-3, -1, -2/3, 0, 1
Let n = -8194/3 - -2734. Let p(k) be the second derivative of 0 + 0*k**2 - 1/3*k**4 + n*k**3 - k. Solve p(r) = 0 for r.
0, 4
Let r = -7507 - -7510. Let o(p) be the third derivative of 0 - 1/2*p**4 - 1/20*p**5 + 34*p**2 + 0*p + 5/2*p**r. Factor o(j).
-3*(j - 1)*(j + 5)
Let c(u) = 3*u**2 - u - 1. Let s(n) = 1 - 16 - 26 + 2 + 12*n**2. Let b(d) = 3*c(d) - s(d). Factor b(x).
-3*(x - 3)*(x + 4)
Determine s, given that -3*s**5 + 1155*s**2 + 4536*s - 12150*s**2 - 5124*s**2 + 243*s**4 - 4533*s**3 + 15876 = 0.
-3, -1, 1, 42
Factor -109*m + 164*m + 608 - 4*m**2 - 121*m - 70*m.
-4*(m - 4)*(m + 38)
Suppose -2*g + 4*v = -729 + 685, 0 = -2*v - 22. Find u such that 2/9*u**3 + 2*u**2 + g + 0*u = 0.
-9, 0
Let f(t) = t**3 - 4*t**2 + t + 4. Let p be f(4). Suppose p = 37*i - 33*i. Factor -i*u**2 - 2*u**2 - 6*u + 14*u.
-4*u*(u - 2)
Let l(v) = 2*v - 23. Let s be l(10). Let k be (s - (-100)/36) + 116/36. Factor 430*t + 5*t**2 - 5*t**k - 860*t - 5*t**4 + 5*t**5 + 430*t.
5*t**2*(t - 1)**2*(t + 1)
Suppose -3*m = -4*a + 39, -275 = -4*m - 2*a - 239. Factor 3/4*l**m + 15/2*l + 33/4*l**2 + 0.
3*l*(l + 1)*(l + 10)/4
Let r be (5/28)/((-6275)/(-30120)). Suppose r*l**3 + 0*l - 26/7*l**2 + 0 = 0. What is l?
0, 13/3
Let a(m) = 3 + 7*m + 4 - 6 - 8*m**2. Let p(u) = -4*u**2 + 837 - 4*u**2 - 835 + 6*u. Let r(g) = 2*a(g) - 3*p(g). Find i, given that r(i) = 0.
-1/2, 1
Suppose 3*c = -0*c + 60. Suppose -y - 3*y = -c. Find z, given that -2*z**5 - 2*z + 3*z**5 + z**4 - 1 + 1 - 3*z**3 - y*z**2 = 0.
-1, 0, 2
Let z(t) = -29*t**3 - 339*t**2 + 312*t + 53. Let b(a) = a**3 - a**2 + 1. Let u(d) = 3*b(d) + z(d). Factor u(f).
-2*(f - 1)*(f + 14)*(13*f + 2)
Let j(g) be the second derivative of g**4/9 + 2*g**3/9 - 112*g**2/3 - g + 1440. Find d, given that j(d) = 0.
-8, 7
Let d be 14/((-504)/(-27))*(-32)/(-60). Factor -8*o**2 - 324/5 + 234/5*o + d*o**3.
2*(o - 9)**2*(o - 2)/5
Let -3*m**4 + 0 - 3/7*m**5 - 24/7*m - 60/7*m**2 - 54/7*m**3 = 0. What is m?
-2, -1, 0
Suppose -7*i + 393 = 197. Suppose 6*f - 31*f - i*f - 55*f - 4*f**2 = 0. What is f?
-27, 0
Suppose 4*i + 12 = 0, 2 = 3*x + i - 7. Factor 0*z**2 + 2*z**2 + 3*z**2 + 17*z**x + z**3 - 19*z**4 - z**5 - 3*z**2.
-z**2*(z - 1)*(z + 1)*(z + 2)
Let f be (-1)/(-3) - (-8)/12*4. Let p(j) be the second derivative of -4/3*j**2 + 0 + 0*j**f + 12*j + 1/18*j**4. Suppose p(y) = 0. What is y?
-2, 2
Let h(t) be the first derivative of -2*t**3/21 - 9*t**2 + 536*t/7 + 2496. Factor h(d).
-2*(d - 4)*(d + 67)/7
Let b(y) be the first derivative of y**6/1080 - y**5/120 - y**4/18 + 107*y**3/3 - 20. Let v(m) be the third derivative of b(m). Factor v(n).
(n - 4)*(n + 1)/3
Suppose 2*u**2 + 2545*u - 1014 + 3*u**2 - 505*u + 1014 = 0. What is u?
-408, 0
Suppose -10*i + 35 - 15 = 0. Factor 135*p - 2*p**2 + 6*p**i - p**2.
3*p*(p + 45)
Let u(l) be the second derivative of -l**6/40 + 3*l**5/8 - l**4 - 175*l + 3. Find a, given that u(a) = 0.
0, 2, 8
Let a = -9013937/6 - -1502323. What is w in 1/6*w**2 - a*w**5 - 1/6*w**4 + 0*w + 0 + 1/6*w**3 = 0?
-1, 0, 1
Suppose -28165 = -236*d - 27457. Factor 0*s**2 + 0*s + 196/5*s**d + 28/5*s**4 + 1/5*s**5 + 0.
s**3*(s + 14)**2/5
Solve 35*h + 400/3 + 5/3*h**2 = 0.
-16, -5
Let c = -226 + -674. Let r be c/945*(24/5)/(-4). Factor -10/7*s**2 - r + 18/7*s.
-2*(s - 1)*(5*s - 4)/7
Let x(j) = -3*j**2 - 45. Let k(o) = -11*o**2 - 85*o + 1164. Let h(d) = 5*k(d) - 20*x(d). Factor h(f).
5*(f - 64)*(f - 21)
Determine q, given that -6498/13 + 228/13*q - 2/13*q**2 = 0.
57
Determine f so that 26243*f + 119*f**2 + 2*f**3 - f**3 - 727*f**2 + 26569 + 283*f**2 = 0.
-1, 163
Let u(d) = -4*d - 63. Let a be u(-17). Suppose 33*y**4 - 3*y**a - 49*y - 111*y**3 + 135*y**2 - 2*y - 3*y = 0. Calculate y.
0, 1, 3, 6
Let s = -10/91 - -1850/273. Let d(z) be the third derivative of 0 + 14*z**2 - 35/2*z**4 - s*z**3 + 0*z - 49/2*z**5 - 343/24*z**6. Factor d(g).
-5*(7*g + 2)**3
Suppose 4*s + 0 = 2*w + 4, 3*w - 3*s = 0. Let r(h) be the second derivative of 45/2*h**3 + 135/2*h**w + 15/4*h**4 + 1/4*h**5 - 9*h + 0. Factor r(c).
5*(c + 3)**3
Let c(z) = -8*z**4 - 58*z**3 - 534*z**2 - 1728*z - 1722. Let j(t) = t**4 - t**2 - 1. Let s(f) = c(f) + 6*j(f). Let s(n) = 0. What is n?
-12, -3, -2
Let c(a) = -30*a**3 - 223*a**2 + 1443*a - 1776. Let g(z) = 22*z**3 + 168*z**2 - 1082*z + 1332. Let s(f) = 16*c(f) + 22*g(f). Determine n so that s(n) = 0.
-37, 2, 3
Let o(r) = -13*r**3 + 37*r**2 + 6*r - 37. Let p(s) = 18*s**2 - 18 + 369*s**3 - 375*s**3 - s + 4*s. Let w(z) = -3*o(z) + 7*p(z). Solve w(c) = 0 for c.
-1, 1, 5
Find t, given that 4/3*t**5 + 0 + 17*t**2 - 46/3*t**3 + 0*t - 3*t**4 = 0.
-3, 0, 1, 17/4
Let v be 0 - (-8 - (-1091)/123). Let i = -22/41 - v. Factor -2/3 + i*z**4 - z + z**3 + 1/3*z**2.
(z - 1)*(z + 1)**2*(z + 2)/3
Factor -l**2 + 41*l + 162 - 29 - 47.
-(l - 43)*(l + 2)
Suppose 2114*h - 2115*h + 6 = 0, 28 = -14*q + 13*q + 5*h. Factor -25/8 - 1/8*d**q - 5/4*d.
-(d + 5)**2/8
Solve -53740*r - 3082 - 40260*r**2 + 47*r**3 + 3274 + 11*r**3 - 13*r**3 - 18112 = 0 for r.
-2/3, 896
Let s(c) be the third derivative of -c**5/12 - 365*c**4/24