3*o**2/8
Suppose 3*u - 3*g = 9795, 19*u - 20*u + 5*g + 3281 = 0. Find a such that 3261*a + 20 - u*a - 5*a**2 = 0.
-2, 2
Let c be 0/(-2) - ((-1158)/4825)/((-14)/35 - -1). Factor 1/5*i**2 + 1/5 - c*i.
(i - 1)**2/5
Let f be 101766/56*(-4)/14562. Let z = 2/2427 - f. Factor -1/8 + 1/2*v**3 - z*v + 1/8*v**2.
(v - 1)*(v + 1)*(4*v + 1)/8
Let s(k) be the first derivative of -k**6/120 - k**5/5 + k**3/3 + 33*k**2 + 164. Let m(o) be the third derivative of s(o). Factor m(q).
-3*q*(q + 8)
Let p(v) = -22*v**4 - 876*v**3 - 1740*v**2 + 878*v + 1746. Let d(f) = 9*f**4 - 2*f**3 + f - 1. Let h(s) = -2*d(s) - p(s). Solve h(o) = 0 for o.
-218, -2, -1, 1
Let p(l) = l**3 - 19*l**2 - 23*l - 38. Let v be p(20). Let k be v/833 + (-67)/(-136). Factor 0 + 1/4*d - d**3 - k*d**2 - 3/8*d**4.
-d*(d + 1)*(d + 2)*(3*d - 1)/8
Let -5/2*b + 1/2*b**2 - 3 = 0. Calculate b.
-1, 6
Let t(z) be the third derivative of z**8/448 - 11*z**7/280 - 13*z**6/160 + 11*z**5/80 + 3*z**4/8 + z**2 + 11. Find g, given that t(g) = 0.
-1, 0, 1, 12
Let y(x) be the third derivative of 5*x**8/1008 + x**7/315 - 7*x**6/72 + 4*x**5/45 + x**4/6 + 444*x**2 - 14. Determine q, given that y(q) = 0.
-3, -2/5, 0, 1, 2
Let p(q) = -458*q. Let k(t) = -2*t**2 + 915*t. Let c(x) = 2*k(x) + 5*p(x). Factor c(o).
-4*o*(o + 115)
Suppose -4*l + j + 46 = 0, j + 159 - 269 = 6*j. Find f such that -42 + l*f**4 - 129/2*f**3 - 120*f + 351/2*f**2 = 0.
-1/4, 2, 7
Let j(s) be the second derivative of -5*s**4/12 + 8*s**3/3 - 32*s**2/5 - 1291*s. Determine i, given that j(i) = 0.
8/5
Let q = 20 - 17. Let t = -480 - -480. Solve -3/2*v**3 - 3/2*v**2 + t + q*v = 0.
-2, 0, 1
Let f(n) be the second derivative of 4/7*n**3 - 2/35*n**5 + 87*n + 9/7*n**2 - 1/21*n**4 + 1/105*n**6 + 2. Solve f(l) = 0.
-1, 3
Suppose 0 = -4*l + 5 - 13. Let a be (l/5)/(4/(-320)). Solve 9*g - 44*g**3 - 4*g**2 + 4*g**4 + a*g**3 + 4*g**5 - g = 0 for g.
-2, -1, 0, 1
Let m = -618 - -447. Let o = -167 - m. What is j in 2/9*j**o + 4/9*j + 0*j**2 - 4/9*j**3 - 2/9 = 0?
-1, 1
Let g(j) be the second derivative of -j**4/21 - 452*j**3/21 + 1258*j. Factor g(d).
-4*d*(d + 226)/7
Let t(l) be the first derivative of l**4/4 + 966*l**3 + 2099601*l**2/2 - 13627. Factor t(d).
d*(d + 1449)**2
Let n(k) = 4*k + 27. Let y be n(-6). Factor 10*r**4 - 30*r**2 + 5*r**y - 9 + 1 - 35*r - 3 + 1.
5*(r - 2)*(r + 1)**2*(2*r + 1)
Find f such that f**2 + 228 + 408 - 403*f + 60*f + 17 + 29 = 0.
2, 341
Factor 4*p**3 - 71*p + 768 - 20*p**2 - 2*p**3 - 50*p + 185*p - 4*p**3.
-2*(p - 6)*(p + 8)**2
Suppose -27*q = 4*z - 69, -2*z - 32 + 11 = -5*q. Find p, given that 5/3*p + 5*p**q + 0 - 15*p**4 + 25/3*p**2 = 0.
-1/3, 0, 1
Let v be 36/(-48)*4 - (-4955)/1650. Let q(r) be the third derivative of 0 + 0*r - 1/44*r**4 + v*r**5 - 3*r**2 - 4/33*r**3. What is n in q(n) = 0?
-1, 4
Let f(n) be the second derivative of -92*n + 0 - 1/3*n**4 - 4/3*n**3 + 30*n**2. Factor f(t).
-4*(t - 3)*(t + 5)
Let o(c) be the third derivative of 41*c**4/24 - 287*c**3/6 + 3*c**2 + 66. Let z be o(7). Factor q**3 + 0*q**4 + 0*q**2 - 1/2*q - 1/2*q**5 + z.
-q*(q - 1)**2*(q + 1)**2/2
Let r(j) be the first derivative of 225*j**6/2 - 465*j**5 + 237*j**4/4 + 763*j**3 - 456*j**2 + 36*j - 2098. Solve r(z) = 0 for z.
-1, 2/45, 2/5, 1, 3
Let a = 239/1280 + 17/1280. Let l(j) be the first derivative of -38 + 1/30*j**3 - a*j**2 - 2/5*j + 1/40*j**4. Determine b, given that l(b) = 0.
-2, -1, 2
Let l be (-39)/15 + 54/90. Let c(r) = -2. Let u(o) = o**2 + 9*o - 8. Let f(j) = l*u(j) + 22*c(j). Factor f(w).
-2*(w + 2)*(w + 7)
Let t(m) be the first derivative of m**3 + 3*m**2 - 3*m + 8. Let s be t(-3). Suppose 2 - 27*k**2 + 4*k - s + 3*k**2 - 32*k = 0. What is k?
-1, -1/6
Let k be ((-3)/6*9)/(9/(-90)). Let x = 128 + -75. Factor 9*h**2 - k*h**2 - x*h + 61*h.
-4*h*(9*h - 2)
Let o be 8 + -9 + 4374/(-6 - 0). Let l = -728 - o. Determine y, given that -2*y - 4 - 1/4*y**l = 0.
-4
Let h = -4752/115 - -1024/23. Factor 4/5*c**2 - h - 8/5*c + 2/5*c**3.
2*(c - 2)*(c + 2)**2/5
Let a be -3*(-84)/(-63) - -4. Let o(q) be the second derivative of -1/3*q**2 - 34*q - 1/60*q**5 - 1/9*q**4 + a - 5/18*q**3. Let o(x) = 0. What is x?
-2, -1
Let v = 89731 + -89729. Factor 1/12*z**3 - 1/12*z - 1/2*z**v + 1/2.
(z - 6)*(z - 1)*(z + 1)/12
Let z(w) = 11*w**3 + 425*w**2 - 9232*w + 8804. Let q(h) = -20*h**3 - 850*h**2 + 18465*h - 17610. Let f(d) = -8*q(d) - 15*z(d). What is j in f(j) = 0?
1, 42
Solve 3*o**2 - 1/3*o**4 - 6*o + 11/3*o**3 + 0 - 1/3*o**5 = 0.
-3, -2, 0, 1, 3
Let d be (-15 + 1)*(10/112 - (-12)/(-32)). Solve 18/5*c**3 + 96/5*c**2 + 24/5 + 18*c - 12/5*c**d = 0.
-1, -1/2, 4
Let r = -5349 + 5355. Let o(u) be the second derivative of 4116/5*u**5 + 32*u + 504*u**3 - 162*u**2 + 0 - 882*u**4 - 4802/15*u**r. What is b in o(b) = 0?
3/7
Let h be (-44)/(-286) + (-72)/(-39). Let x(y) be the first derivative of 0*y**h + 9 - 5*y + 5/3*y**3. Factor x(k).
5*(k - 1)*(k + 1)
Suppose 0 = 449*n - 452*n - 5*w - 15, 0 = -6*w - 18. Solve 0*y**3 + n*y**2 - 1/9*y**5 + 7/9*y**4 + 0*y + 0 = 0 for y.
0, 7
Let g(y) be the first derivative of -41/21*y**3 - 6/7*y + 33/28*y**4 + 25/14*y**2 + 1/21*y**6 - 13/35*y**5 - 241. Factor g(r).
(r - 2)*(r - 1)**3*(2*r - 3)/7
Suppose 0 = u - 1, -18 - 4 = -3*f - u. Let 11 + 27*v**2 + v**3 - 30*v**2 - f + 0*v**3 = 0. Calculate v.
-1, 2
Let k(q) = 2*q**2 + 3*q - 5. Let x(z) = 15*z**2 + 25*z - 40. Let a be (1 - 23) + (-2 - 0 - 1). Let y(f) = a*k(f) + 3*x(f). Factor y(b).
-5*(b - 1)*(b + 1)
Let n = 303054 + -303052. Let z be 1 - 15/(-9) - 2. Factor 12*g - z*g**n - 54.
-2*(g - 9)**2/3
Let u be -1*5 - ((-38)/1368*932 - -20). Solve 14/9*a**5 + u - 38/9*a**3 + 2*a**4 + 8/3*a - 26/9*a**2 = 0 for a.
-2, -1, -2/7, 1
Factor 3/5*k**3 + 588/5*k**2 + 28812/5*k + 0.
3*k*(k + 98)**2/5
Let s(f) be the first derivative of -f**6 - 27*f**5/5 - 15*f**4/2 + 5*f**3 + 18*f**2 + 12*f - 1958. Determine u so that s(u) = 0.
-2, -1, -1/2, 1
Let f(i) = 3*i**2 - 21*i - 27. Suppose 8*m = m + 28. Let s(d) = 3*d**2 - 20*d - 27. Let u(r) = m*f(r) - 3*s(r). Find n such that u(n) = 0.
-1, 9
Let d(p) be the first derivative of p**8/420 + 4*p**7/105 + p**6/18 - 5*p**5/3 - p**3 - 11*p**2/2 - 207. Let i(c) be the third derivative of d(c). Factor i(j).
4*j*(j - 2)*(j + 5)**2
Let g(f) be the second derivative of 2*f**6/45 + 47*f**5/30 - 2*f**4 + f**3/6 - 3*f**2 + 150*f. Let t(u) be the second derivative of g(u). Solve t(k) = 0 for k.
-12, 1/4
Let u(k) be the first derivative of k**5/10 - k**4/4 - 14*k**3/3 + 26*k**2 - 48*k + 15280. Factor u(o).
(o - 4)*(o - 2)**2*(o + 6)/2
Find n such that -3735936*n**2 - 214990848 + 538970112*n + 25928/3*n**3 - 20/3*n**4 = 0.
2/5, 432
Let i(v) be the second derivative of -v**4/4 + v**3/6 + 2*v**2 + 5*v - 64. Factor i(d).
-(d + 1)*(3*d - 4)
Let x(a) be the third derivative of a**5/72 - 20*a**4/9 + 1188*a**2. Suppose x(h) = 0. Calculate h.
0, 64
Let o(b) = -2*b - 12. Let v be o(-6). Let q be (-18 - (0 - -2))/(-4). Factor -4/3*w**4 + v + 0*w**2 + 0*w + 2/3*w**q + 2/3*w**3.
2*w**3*(w - 1)**2/3
Let t(o) be the second derivative of -o**6/150 + 87*o**5/100 - 138*o**4/5 - 1058*o**3/3 - 111*o + 5. Suppose t(b) = 0. Calculate b.
-5, 0, 46
Let x(b) = 13*b - 107. Let o be x(11). Factor -4*t**5 + 4*t**4 + 44*t**2 + 3*t + 104 + o*t**3 + 13*t - 104.
-4*t*(t - 4)*(t + 1)**3
Let -218/5*v**2 - 9/10*v**5 - 69/5*v**4 - 49/5 + 511/10*v - 299/5*v**3 = 0. What is v?
-7, -2, 1/3
Let m = 87118/6371 - 2198/277. Suppose -4/23 - 2/23*u + m*u**2 = 0. Calculate u.
-1/6, 2/11
Let r(s) be the first derivative of 16/5*s - 1/5*s**2 - 16/15*s**3 - 55 + 1/10*s**4. Determine f so that r(f) = 0.
-1, 1, 8
Let x(y) be the third derivative of y**7/1050 - 37*y**6/120 + 689*y**5/25 + 1363*y**4/6 - 17672*y**3/15 + 8*y**2 + 439. Factor x(c).
(c - 94)**2*(c - 1)*(c + 4)/5
Let b(h) be the third derivative of 0 - 1/24*h**6 + 52*h + 5/24*h**4 - 20/3*h**3 + 2/3*h**5 + h**2. Suppose b(j) = 0. Calculate j.
-1, 1, 8
Let f = -1452601/4 + 363154. Factor 0 + 3/2*b**4 - f*b**2 + 117/8*b**3 + 0*b.
3*b**2*(b + 10)*(4*b - 1)/8
Let m(w) be the first derivative of -w**5/60 - w**4/12 - w**3/6 + 2*w**2 - 3*w + 46. Let j(o) be the second derivative of m(o). Let j(z) = 0. What is z?
-1
Find w, given that 11/2*w - 57/4*w**4 - 123/4*w**2 + w**5 + 77/2*w**3 + 0 = 0.
0, 1/4, 1, 2, 11
Let a(m) be the first derivative of 5*m**6/6 - 53*m**5 + 1305*m**4/2