v**3 + 1546*v**2 + 548*v - 1050. Let c(y) = 8*y**3 - 774*y**2 - 272*y + 524. Let o(j) = 5*c(j) + 2*d(j). Find h such that o(h) = 0.
-1, 2/3, 130
Factor 17 + 5/2*m**2 - 171/2*m.
(m - 34)*(5*m - 1)/2
Let n = 75/43 - 10/129. Let c(q) be the first derivative of 720*q + n*q**3 + 12 - 60*q**2. Factor c(w).
5*(w - 12)**2
Let n = -43 - -46. Let l(y) = 5*y**2 - 36*y**3 + 76*y**3 - 31*y**n. Let v(a) = -17*a**3 - 9*a**2. Let w(h) = 10*l(h) + 6*v(h). Let w(r) = 0. Calculate r.
-1/3, 0
Let f(p) = -5*p**2 + 10*p - 53. Suppose -5*h - 18 = -7*h. Let v(g) = -9*g**2 + h*g + 8*g**2 - 54 + 0*g - 5*g**2. Let o(s) = 5*f(s) - 4*v(s). Factor o(l).
-(l - 7)**2
Suppose -2*c - o = -9, -2*o + o = -c - 3. Factor -64*q**2 + 2 - 3*q + 131*q**2 - 66*q**c.
(q - 2)*(q - 1)
Let g(l) be the first derivative of -9*l**4/7 - 4264*l**3/7 - 8504*l**2/7 - 5664*l/7 + 114. What is q in g(q) = 0?
-354, -2/3
Let g(n) be the third derivative of -n**5/240 + 169*n**4/32 + 127*n**3/6 + 915*n**2. Determine d, given that g(d) = 0.
-1, 508
Suppose 3*t = -t - 2*x + 188, 4*t + 4*x = 192. Suppose 0 = 58*g - 57*g - t. What is k in -3*k**2 - 10*k + g*k + 583 - 691 = 0?
6
Let w(h) = -h**3 + 14*h**2 - 9*h - 48. Let c be w(13). Factor v**2 + 3445*v**5 + v**2 + v**3 - 2*v**c - 3446*v**5.
-v**2*(v - 1)*(v + 1)*(v + 2)
Suppose -97*t**2 + 163 + 381*t - 913 - 3*t**3 + 469*t**2 = 0. What is t?
-2, 1, 125
Let r(h) = -h**5 - 11*h**4 + 15*h**3 - 13*h**2. Let m(f) be the second derivative of f**6/5 - 2*f**5/5 + f**4/2 - 81*f. Let b(z) = 5*m(z) + 2*r(z). Factor b(u).
-2*u**2*(u - 2)*(u - 1)**2
Let a be 13 - (-6)/(5 - -1). Suppose -3451*f + 16*f**3 + a*f**3 - 10*f**4 + 100*f**2 + 30 + 3546*f - 5*f**5 = 0. Calculate f.
-2, -1, 3
Suppose -13 = -22*w + 31. Let c(f) be the first derivative of 18 + 1/30*f**5 + 1/4*f**4 + 1/2*f**w + 0*f + 11/18*f**3. Determine l so that c(l) = 0.
-3, -2, -1, 0
Suppose 6*i + 4*k = 8*k + 6, 3*i = -5*k + 3. Let o(r) be the first derivative of -2*r**3 - i + 9/16*r**4 + 0*r + 3/2*r**2. Suppose o(p) = 0. What is p?
0, 2/3, 2
Let q(o) = -o - 23 + 45 - 21. Let x be q(-9). Determine l so that -5*l - x*l**5 - 45*l**3 - 18*l**4 + 21*l**2 + 2*l**4 + 4*l**2 + 51*l**4 = 0.
0, 1/2, 1
Let h = 36623/1473 - 1242/491. Determine y so that -h*y**3 - 101/3*y + 22/3 + 5/3*y**4 + 47*y**2 = 0.
2/5, 1, 11
Let g(j) be the second derivative of 7*j**6/6 - 279*j**5/2 + 1565*j**4/4 - 580*j**3/3 - 390*j**2 - 2*j + 67. Solve g(p) = 0 for p.
-2/7, 1, 78
Suppose -32 = -2*u - 28. Let h be (-994)/284*-3*u/7. Factor -3/5*v**h - 9/5*v - 3/5 - 9/5*v**2.
-3*(v + 1)**3/5
Suppose -5*f + 40 = 30. What is l in -17 + 9*l**5 + 84*l - 42*l**4 - 29 + 114*l**f - 93*l**3 - 26 = 0?
-2, -1, 2/3, 1, 6
Let s(c) be the third derivative of c**8/23520 - c**6/360 - c**5/70 - c**4/12 + 11*c**2 + 1. Let n(u) be the second derivative of s(u). Factor n(z).
2*(z - 3)*(z + 1)*(z + 2)/7
Let j = 988087/3 + -329361. Factor 4/3*i**3 - 8*i**2 - j*i + 40.
4*(i - 5)*(i - 3)*(i + 2)/3
Let o(u) be the third derivative of -u**5/140 - 37*u**4/28 - 213*u**3/14 - 4*u**2 + 5*u. Factor o(n).
-3*(n + 3)*(n + 71)/7
Let k(h) = -5*h - 17. Let a be k(-4). Find d, given that -d**3 + d**4 - 129*d**2 - 2*d**4 + 134*d**2 - a*d = 0.
-3, 0, 1
Find h, given that -1518/5*h**3 - 102/5*h**4 + 0*h - 1058*h**2 + 0 - 2/5*h**5 = 0.
-23, -5, 0
Suppose -2928*u = -2919*u + 4428. Let p = u + 492. Find d, given that 3/4*d**5 + p*d**2 + 0*d + 0 + 0*d**3 + 3/4*d**4 = 0.
-1, 0
Suppose 1371*k = 1464*k. Find z such that -2/11*z**5 + k + 42/11*z**4 - 40/11*z**3 + 0*z**2 + 0*z = 0.
0, 1, 20
What is v in -73*v**3 - 5717 + 4*v**4 + 1108*v**2 - 47*v**3 + 8421 - 3120*v = 0?
2, 13
Let f(l) be the third derivative of -l**7/8820 + l**5/420 - l**4/24 + 3*l**3 - 32*l**2. Let u(k) be the second derivative of f(k). Factor u(g).
-2*(g - 1)*(g + 1)/7
Let k(m) be the second derivative of 102 - 1/4*m**4 - 3/2*m**3 + 2*m + 27*m**2. Determine z, given that k(z) = 0.
-6, 3
Let u(o) be the first derivative of -7*o**6/24 - 47*o**5/20 - 7*o**4 - 26*o**3/3 - 2*o**2 + 4*o + 304. Find n such that u(n) = 0.
-2, -1, 2/7
Let q(r) be the first derivative of -2*r**5/65 - 10*r**4/13 - 96*r**3/13 - 448*r**2/13 - 1024*r/13 + 1301. Factor q(m).
-2*(m + 4)**3*(m + 8)/13
Let k(n) be the third derivative of -25*n**8/48 + n**7/42 + 35*n**6/8 + 67*n**5/12 - 5*n**4/12 - 4*n**2 - 71*n. Find i, given that k(i) = 0.
-1, 0, 1/35, 2
Let -16/5*p**2 + 26/5*p**3 + 2/5*p + 0 - 12/5*p**4 = 0. Calculate p.
0, 1/6, 1
Let v be -4*(-11)/(-44)*0. Suppose -17*u + 14*u - 30*u = v. Factor -1/8*g**5 + 0*g - 1/4*g**3 + 0*g**2 + u - 3/8*g**4.
-g**3*(g + 1)*(g + 2)/8
Let s(o) be the first derivative of o**4 + 12*o**3 - 24*o**2 - 80*o - 580. Factor s(u).
4*(u - 2)*(u + 1)*(u + 10)
Suppose 4*b - 47 = 5*q, -36 = -5*b + 275*q - 272*q. Factor -10/9*g**b - 30*g + 50/9 + 34/3*g**2.
-2*(g - 5)**2*(5*g - 1)/9
Let z(r) be the second derivative of -r**7/105 + r**6/12 - 7*r**5/30 + r**4/4 - 81*r**2/2 - 47*r - 1. Let f(s) be the first derivative of z(s). Factor f(i).
-2*i*(i - 3)*(i - 1)**2
Let y(j) = -2*j - 16. Let x be y(-5). Let q = 26 - x. Determine g so that -10*g + 5*g**2 - 32 + 18*g**4 + 40*g**3 + q + 7*g**4 = 0.
-1, 0, 2/5
Let n(f) = 2*f**3 - 7*f**2 + 4*f + 6. Let a be n(5). Factor -o + 101 - a + 3*o + 4*o - 3*o**3 - 3*o**2.
-3*o*(o - 1)*(o + 2)
Suppose 6 = -5*g - 5*k - 24, -4*k = -3*g - 18. Let t be ((-9)/(-45))/(g/(-50)). Solve 4/3*p + t*p**2 + 0 = 0 for p.
-4/5, 0
Let j = 130 + -127. Let x be (4/(-30))/((-202)/7272). Factor 9/5*o**4 + x*o**2 + 12/5*o - 33/5*o**j + 0.
3*o*(o - 2)**2*(3*o + 1)/5
Let 52*p**2 + 140*p**4 - 4786*p + 5*p**3 - 80*p**3 - 69*p**3 + 4784*p - 46*p**5 = 0. Calculate p.
0, 1/23, 1
Let u(p) be the first derivative of -128/7*p - 50/21*p**3 - 62 + 80/7*p**2. What is c in u(c) = 0?
8/5
What is z in 40*z + 478*z**2 - 3*z**3 + 23*z - 538*z**2 = 0?
-21, 0, 1
Let z(t) = 2*t - 18. Let j be z(10). Let b be (0 - j) + 4/1. What is v in 70*v**4 + 2*v**3 - 90*v**4 + 14*v**3 + 13*v**b - v**2 - 8*v**5 = 0?
-3, -1/2, 0, 1
Let l = 1019/1058 + -86897/189911. Let x = l - 2/359. Factor -1/4*n**4 + 5/4*n**2 + x*n - 1/4*n**5 + 0 + 3/4*n**3.
-n*(n - 2)*(n + 1)**3/4
Suppose 78 = -2*o + 92. Factor o*j**3 - j**3 + 18*j**2 + 18 + 32*j + j - 3*j**3.
3*(j + 1)*(j + 2)*(j + 3)
Let k be (4416/3220)/(80/150). Suppose 64/7 + 0*v + k*v**3 - 2/7*v**4 - 44/7*v**2 = 0. What is v?
-1, 2, 4
Let i(b) be the first derivative of -2*b**5/5 - 313*b**4/2 + 1258*b**3/3 - 315*b**2 - 1474. Find t such that i(t) = 0.
-315, 0, 1
Let w(r) = 8*r + 8*r**2 - 14 - 2*r**3 + 23 - 5*r**3. Let u = -73 - -82. Let t(j) = -3*j**3 + 4*j**2 + 4*j + 4. Let f(i) = u*t(i) - 4*w(i). Factor f(x).
x*(x + 2)**2
Let u be (-7)/(-2)*(-3 - (-4693)/91). Let q be u/(-28)*(-208)/260. Let 12/7*t + q*t**4 - 34/7*t**2 - 10/7*t**5 - 2/7*t**3 + 0 = 0. Calculate t.
-1, 0, 2/5, 1, 3
Suppose -170015 = -25*z - 170015. Suppose -1/4*q + 1/6 + 1/12*q**3 + z*q**2 = 0. What is q?
-2, 1
Let h(x) be the third derivative of -x**5/60 + 821*x**4/12 - 674041*x**3/6 - 3446*x**2. Suppose h(w) = 0. What is w?
821
Suppose 5880 = -24*d - 16368. Let h = -3707/4 - d. Find m, given that h*m**4 + 1/2*m - 3/4*m**2 + 0 + 0*m**3 = 0.
-2, 0, 1
Let v = 8916065/9 + -990673. Let v - 2/9*o**3 + 8/9*o - 2/9*o**2 = 0. Calculate o.
-2, -1, 2
What is r in 36 + 992*r + 3*r**2 - 1965*r + 4*r**2 + 993*r - 6*r**2 = 0?
-18, -2
Let k(c) be the third derivative of c**8/2352 + 43*c**7/1470 + 109*c**6/210 - 164*c**5/105 - 220*c**4/21 + 968*c**3/21 + 1691*c**2. Let k(x) = 0. Calculate x.
-22, -2, 1, 2
Let t(m) be the second derivative of -m**6/15 - m**5/5 + 9*m**4/2 - 52*m**3/3 + 28*m**2 + 4711*m. Determine h so that t(h) = 0.
-7, 1, 2
Let p(b) be the first derivative of -2/21*b**3 + 0*b - 322 + 9/7*b**2. Solve p(r) = 0 for r.
0, 9
Let y be (6/8)/((-93)/(-248)). Let h(o) be the first derivative of 1/2*o - 14 + 1/3*o**3 - 1/16*o**4 - 5/8*o**y. Factor h(m).
-(m - 2)*(m - 1)**2/4
Factor 1448/11*s + 262088/11 + 2/11*s**2.
2*(s + 362)**2/11
Let r(t) be the first derivative of 3*t**8/1960 - t**7/98 + 5*t**6/252 - t**4/21 + t**3/3 - 10*t - 35. Let a(u) be the third derivative of r(u). Solve a(c) = 0.
-1/3, 2/3, 1, 2
Let w(h) be the first derivative of -h**3/8 - 39*h**2/16 + 837*h/4 + 3649. Let w(d) = 0. Calculate d.
-31, 18
Determine g so that 3292*g**3 - 19*g**5 + 50