
-78, 1
Let j(y) = -4*y - 2. Let o(w) = w + 1. Let p(k) = -j(k) - 3*o(k). Let b(i) = 3*i**3 + 9*i**2 - 6*i - 42. Let a(r) = b(r) - 6*p(r). Factor a(z).
3*(z - 2)*(z + 2)*(z + 3)
Let t be (-1 - -2)*1113/(-147)*-35. Let i = t - 263. Let -14*w**2 - i - 34/3*w + 6*w**3 = 0. What is w?
-1/3, 3
Let o(q) = -528*q + 72338. Let c be o(137). Solve 81/4*h**3 + 25/4*h + 0 - 45/2*h**c = 0 for h.
0, 5/9
Suppose 0 = -4*l - 20, -22*p + l = -18*p - 5. Factor -2*r**3 + 24 - 24 - 2*r**3 + 18*r**2 - 18*r + p*r**3.
-2*r*(r - 3)*(2*r - 3)
Find l, given that -32189 + 4*l**2 - 669*l + 41*l + 34037 = 0.
3, 154
Let d(v) be the third derivative of v**8/336 - 4*v**7/15 - 497*v**6/120 - 242*v**5/15 + 62*v**4/3 + 512*v**3/3 + 2*v**2 - 3073*v. Solve d(u) = 0 for u.
-4, -1, 1, 64
Let x(d) be the first derivative of 25*d**4/22 + 1330*d**3/11 + 144*d**2 + 632*d/11 + 78. Determine j so that x(j) = 0.
-79, -2/5
Factor 2*u + 0 + 4*u**2 + 1/2*u**4 + 5/2*u**3.
u*(u + 1)*(u + 2)**2/2
Let q be (5/15)/(((-2)/(-45))/2). Let l = q + -10. Factor 21*d**5 - 14*d**5 - 11*d**l - 12*d**4.
-4*d**4*(d + 3)
Let s(d) = -d**2 + 45*d + 202. Let g(n) = 2*n**2 - 134*n - 608. Let w(c) = -3*g(c) - 8*s(c). Suppose w(q) = 0. What is q?
-13, -8
Suppose s - 5 + 2 = 0. Factor -s*c**3 - c**3 + 41*c**2 + 11*c**2.
-4*c**2*(c - 13)
Let f(q) be the first derivative of 4*q**2 - 7/6*q**3 - 6*q + 1/8*q**4 - 128. Suppose f(n) = 0. Calculate n.
2, 3
Let i(m) be the first derivative of 2*m**3/3 - 28*m**2 - 490*m + 9909. Factor i(w).
2*(w - 35)*(w + 7)
Suppose 35*r - 129 = -8*r. Factor -272*j**3 + 543*j**3 - 275*j**r - 64*j**2.
-4*j**2*(j + 16)
Let a(i) be the first derivative of 5/12*i**3 + 236 + 15/2*i**2 + 175/4*i. Let a(s) = 0. Calculate s.
-7, -5
Let h = 39 + -35. What is l in 5*l - 5*l + 6 + 4*l + 2*l**2 - h = 0?
-1
Let u(x) = x**2 - 22*x - 17. Let t(q) be the second derivative of -q**4/12 - q**3/3 + q**2 - 85*q. Let i(o) = 2*t(o) - u(o). Suppose i(j) = 0. What is j?
-1, 7
Let h = 1146 + -2169. Let l be h/(-558) - (-1 - 0)/(-6). Factor -5/3*u**5 - 5*u**4 + 0*u - l*u**2 + 0 - 5*u**3.
-5*u**2*(u + 1)**3/3
Suppose 4*t = -15361 + 15457. Let y(w) be the second derivative of 1/240*w**6 + 0*w**3 - 1/12*w**4 + 0 - t*w + 0*w**5 + w**2. What is d in y(d) = 0?
-2, 2
Let i be 9900/(-6160)*16/(-18). Suppose -i*t**4 - 22*t - 50/7*t**2 + 60/7 + 22*t**3 = 0. Calculate t.
-1, 2/5, 1, 15
Factor -9 - 159/2*p - 169/6*p**3 - 182*p**2.
-(p + 6)*(13*p + 3)**2/6
Determine a, given that -128/13*a + 64/13 + 2*a**3 - 16/13*a**4 + 4*a**2 + 2/13*a**5 = 0.
-2, 1, 4
Let q be ((-8)/12)/(0 + (-4)/90). Factor -39*r + q*r**2 + 21 - 26*r**3 + 12*r**3 + 17*r**3.
3*(r - 1)**2*(r + 7)
Suppose 27*h = -21*h + 48. Let o(m) = -4*m**3 + m - 1. Let z(u) = 28*u**3 + 148*u**2 - 158*u + 6. Let x(g) = h*z(g) + 6*o(g). Find j such that x(j) = 0.
-38, 0, 1
Let g(q) be the first derivative of q**6/48 - 7*q**5/20 - 9*q**4/8 + 31*q**3/12 + 35*q**2/16 - 6*q - 3181. Solve g(a) = 0 for a.
-3, -1, 1, 16
Let a(l) be the second derivative of l**4/66 - 13*l**3 + 428*l**2/11 - 1867*l. Let a(o) = 0. What is o?
1, 428
Factor -86/3*f**2 + 6*f**3 + 88/3*f + 8.
2*(f - 3)*(f - 2)*(9*f + 2)/3
Let g(x) = 75*x + x**2 + 6*x**2 + 72 - 9*x**2 + 5*x**2. Let h(w) = 3*w**2 + 75*w + 72. Let k(p) = 5*g(p) - 6*h(p). Solve k(v) = 0.
-24, -1
Let l(r) = 7*r - 6*r + r**2 + 45 - 46. Let t(i) = 4*i**3 - 10*i**2 - 14*i + 6. Let w(z) = -6*l(z) - t(z). Factor w(m).
-4*m*(m - 2)*(m + 1)
Suppose 4*j - 75 + 99 = 0. Let g be ((-4)/(-3))/((-4)/j)*2. Let -9*l**3 - 4*l**3 + 7*l**3 - 3*l**g = 0. Calculate l.
-2, 0
Let d(w) be the third derivative of -w**8/336 + w**7/15 - 61*w**6/120 + 11*w**5/15 + 65*w**4/6 - 200*w**3/3 + 6939*w**2. Suppose d(c) = 0. What is c?
-2, 2, 4, 5
Suppose 2*n = -2*n - 20, 0 = -4*s + 2*n + 38866. Let k = s + -4929. Find l, given that -15*l - 5*l**2 + 4785 - k = 0.
-3, 0
Let p(d) be the first derivative of d**7/2240 - d**6/240 + d**5/64 - d**4/32 + 2*d**3/3 - 162. Let t(w) be the third derivative of p(w). Factor t(z).
3*(z - 2)*(z - 1)**2/8
Let x(n) = n**3 + 4*n**2 - 3*n + 10. Let v be x(-5). Suppose 6 = 4*h + 2, -2*o - 4*h + 8 = v. Factor 2/13*u**o + 6/13 - 8/13*u.
2*(u - 3)*(u - 1)/13
Let 504/5*w**2 - 62/5*w**3 + 2/5*w**4 + 864/5*w - 3456 = 0. Calculate w.
-5, 12
Let n = 5010 - 5006. Let s(k) be the first derivative of 0*k**2 + 5/2*k**n + 17 + 0*k + 2/3*k**3 + 14/5*k**5 + k**6. Find m, given that s(m) = 0.
-1, -1/3, 0
Let q = -104 + 106. Find i such that 135*i - 270*i + 168*i - 3*i**4 + 3*i**3 + 12 + 27*i**q = 0.
-1, 4
Let k(y) be the first derivative of -154/25*y**5 - 81/5*y**2 - 282/5*y**3 + 0*y - 13 - 4/15*y**6 - 83/2*y**4. Find b such that k(b) = 0.
-9, -1, -1/4, 0
Suppose 9*u = -0*u - 16*u + 175. Let z(q) be the second derivative of 4*q**2 + q**3 - u*q + 0 - 1/6*q**4. Factor z(k).
-2*(k - 4)*(k + 1)
Let o(x) be the second derivative of x**9/10080 - x**7/560 - x**6/240 - 3*x**4/2 + 3*x**2/2 - 86*x. Let h(i) be the third derivative of o(i). Factor h(r).
3*r*(r - 2)*(r + 1)**2/2
Factor 0*o**2 + 626*o - 6*o**2 + 1694*o + 2*o**2.
-4*o*(o - 580)
Let t(i) be the second derivative of 4*i**6/5 + 22083*i**5/5 + 54199041*i**4/8 + 6772120*i**3 + 2539200*i**2 + 571*i - 4. Factor t(s).
3*(s + 1840)**2*(4*s + 1)**2/2
Let -7934/3*u - 21511/2*u**3 - 252 - 9247*u**2 + 343/6*u**4 = 0. Calculate u.
-2/7, 189
Let x be (9/((-81)/(-4)))/(13716/972 + (-13)/1). Factor 0 + 0*o + 1/5*o**2 + 1/5*o**4 - x*o**3.
o**2*(o - 1)**2/5
Let n(z) be the first derivative of z**4/4 + 31. Let r(j) = 3*j**3 + 35*j**2 + 80*j + 60. Let s(p) = 2*n(p) + r(p). Factor s(k).
5*(k + 2)**2*(k + 3)
Let d be (-12*234/1092)/(11/7 + -2). Find f such that -15 - 1/3*f**5 - 86/3*f**2 + 37*f + f**4 + d*f**3 = 0.
-5, 1, 3
Let g be (1 + (-18)/(-22))*4094/356 + 3/33. Suppose 141/4*p - 21/2 - 15/4*p**3 - g*p**2 = 0. What is p?
-7, 2/5, 1
Let p be (-11)/(66/(-24)) - (-4)/2. Factor 20*c**2 + 47*c**3 + p*c - 5*c**2 - 38*c**3.
3*c*(c + 1)*(3*c + 2)
Let h(n) be the first derivative of -784*n - 12*n**3 - 70*n**4 - 4*n**3 + 69*n**4 - 8*n**3 - 5 - 210*n**2. Factor h(p).
-4*(p + 4)*(p + 7)**2
Let n(o) = -3*o**2 - 24*o + 2. Let u be (2 - (-24)/(-9))*15 + 2. Let l be n(u). Factor m**4 - 5*m**4 + 4*m**3 - 2*m - 2*m**5 + 4*m**2 + l*m**4 - 4 + 2.
-2*(m - 1)**2*(m + 1)**3
Let t = -10401 - -10403. Let d(x) be the first derivative of -x**5 + 15/4*x**4 - 5*x**3 + 0*x + 24 + 5/2*x**t. Determine l so that d(l) = 0.
0, 1
What is s in 4*s**3 - 1/2*s**4 + 11*s + 0 + 31/2*s**2 = 0?
-2, -1, 0, 11
Let -1/5*w**2 - 1214/5*w - 368449/5 = 0. Calculate w.
-607
Solve -20/3*r + 1/3*r**2 - 7 = 0.
-1, 21
Let b(d) = 23*d + 30*d**3 - 8 - 79*d**2 + 28*d - 3*d. Let x(j) = 150*j**3 - 396*j**2 + 240*j - 40. Let l(p) = 28*b(p) - 6*x(p). Determine g so that l(g) = 0.
1/3, 2/5, 2
Let a(g) be the first derivative of -g**4/10 + 22*g**3/15 - 23*g**2/5 - 14*g + 2622. Solve a(x) = 0.
-1, 5, 7
Let z(f) be the first derivative of -f**4/2 - 6*f**3 - 24*f**2 - 40*f - 2447. Determine b so that z(b) = 0.
-5, -2
What is o in 1536 + 6*o**4 - 19*o**3 - 424/3*o**2 - 1/3*o**5 + 448*o = 0?
-3, 8
Let s = 7112 - 7109. Let j(m) be the third derivative of -15*m**2 + 1/150*m**5 + 5/3*m**s + 0 + 0*m + 1/6*m**4. Find y, given that j(y) = 0.
-5
Let h(n) = 11*n**2 - 383*n + 2. Let p(f) = 16*f**2 - 381*f + 3. Let z(i) = 3*h(i) - 2*p(i). Factor z(k).
k*(k - 387)
Let j(n) = 2*n**2 + 2*n - 1. Let i be j(-2). Suppose 0 = -k - 5, -3*k = -i*t - 4*k + 4. What is c in -c**t + 2*c**3 + 4*c**2 + 5*c**3 + 2*c**3 + 3*c**4 = 0?
-2, -2/3, 0
Let o(v) be the second derivative of v**5/80 - 17*v**4/4 + 1110*v. Factor o(q).
q**2*(q - 204)/4
Factor -31*w**3 - 32*w**2 + 0 + 188/3*w + 1/3*w**4.
w*(w - 94)*(w - 1)*(w + 2)/3
Let v = 196 - 193. Let -17*u**v - u**4 + 40*u**3 + 27*u**2 - 29*u - 30*u**3 + 10 = 0. Calculate u.
-10, 1
Let p(h) = -2*h**3 + 8*h**2 + 16*h - 9. Let f be p(5). Determine c so that -20*c**2 + 28 + f - 75*c + 30*c**2 - 14 = 0.
1/2, 7
Let k = -434 + 438. Suppose -2*p + 8 = -15*i + 17*i, k*i - 5*p + 20 = 0. Factor i*h + 3/4*h**3 - 3/4*h**2 + 0.
3*h**2*(h - 1)/4
Let d(u) = -u**2 + 282*u + 1146. Let k be d(-4). Let s(i) be the first derivative of -2/9*i**k - 2/9*i**3 + 0*i - 1/18*i**4 + 7. Let s(w) = 0. What is w?
-2, -1, 0
Let k = 2161/4 + -1061/2. Let p be (1 + 11)/(996/(-747)) + 12. Solve 9/4 + k*j**2 - 39/4*