001/9 = 0. What is d?
-251
Let c(m) = -m**2 + 34*m - 7. Let z(i) = -12*i + 2. Let x = -308 - -312. Let g(v) = x*c(v) + 14*z(v). Factor g(u).
-4*u*(u + 8)
Suppose -5*l + 8*l - 5*r = 29, r = -4. Find x such that -528*x**2 + 145*x - 792*x**l + 15*x + 26 - 36*x**5 - 316*x**4 - 26 = 0.
-5, -2, 0, 2/9
Let o = 13647 + -13645. Let c(b) be the second derivative of -1/3*b**4 + 0 + 4*b**3 - 10*b**o - 49*b. Suppose c(m) = 0. What is m?
1, 5
Let k(g) be the second derivative of 40*g + 31/21*g**3 + 2/35*g**5 + 6/7*g**2 + 29/42*g**4 + 2. Factor k(u).
2*(u + 1)*(u + 6)*(4*u + 1)/7
Let a(x) = -x**3 - 8*x**2 - 4*x + 23. Let h = 1800 + -1807. Let i be a(h). Factor 12/5 + 28/5*v**i - 8*v.
4*(v - 1)*(7*v - 3)/5
Let v(y) be the third derivative of y**5/150 - 17*y**4/10 + 101*y**3/15 - 24*y**2 + 16*y. Determine l, given that v(l) = 0.
1, 101
Let o(q) = -q**3 - q**2 - 2*q + 4. Let i be o(0). Solve 5*a**i + 29 - 30*a**3 + 49 + 7 - 5 + 120*a + 5*a**2 = 0.
-1, 4
Factor 118/21 - 116/21*v - 2/21*v**2.
-2*(v - 1)*(v + 59)/21
Let u(b) be the third derivative of -b**8/140 - b**7/35 + 7*b**6/20 - 4*b**5/5 + 3*b**4/5 - 3649*b**2. Find a, given that u(a) = 0.
-6, 0, 1/2, 1, 2
Let n(l) = 7*l**3 - l**2 + l + 1. Let q(k) = -24*k**5 + 45*k**4 + 348*k**3 - 39*k**2 - 180*k - 6. Let s(b) = -18*n(b) + q(b). Solve s(c) = 0 for c.
-2, -1, -1/8, 1, 4
Factor -255279 + 255279 - 10797*r**3 + 11163*r**2 - 363*r**4 - 3*r**5.
-3*r**2*(r - 1)*(r + 61)**2
Let b = 147 - 120. Let c be b/36 - 62/(-56) - 1. Factor 9/7*g**3 - 3/7*g + 12/7*g**2 - c.
3*(g + 1)**2*(3*g - 2)/7
Let o(y) = -60*y - 610. Let r be o(-20). Let h = r + -588. Solve 40*x + 490/3*x**5 - 610/3*x**3 + 220/3*x**h - 175/3*x**4 - 15 = 0.
-1, -1/2, 3/7, 1
Factor -1/2*c**2 + 81/2 - 12*c.
-(c - 3)*(c + 27)/2
Let l(f) be the second derivative of 2*f**6/15 + 2*f**5 + 9*f**4 + 12*f**3 + 689*f. Determine n so that l(n) = 0.
-6, -3, -1, 0
Let w = 68/11 + -568/99. Let j = 12309 + -110761/9. Factor 4/9*f**2 + j*f**3 - 4/9*f**4 - w*f**5 + 16/9 - 32/9*f.
-4*(f - 1)**3*(f + 2)**2/9
Let m = 20 - 12. Suppose -4*o + m = 5*n, -4 = -2*o - 3*n - 0. Factor i**3 + 0*i + 3*i**o + 0*i + 5 - 9*i.
(i - 1)**2*(i + 5)
Suppose -4*p - 264 = -5*c, 2*c + 2*c = 3*p + 211. Let j = c + -50. Factor -19*k**j - 4*k + 3*k**3 - 7*k**3 + 11*k**2.
-4*k*(k + 1)**2
Suppose 0 = -v + 2*i + 4, 9 = 2*v - 2*i - 3*i. Suppose 16*q**2 + 2*q - v*q - 235*q**3 + 233*q**3 = 0. What is q?
0, 8
Let u be (52/91)/(((-972)/(-126))/9). Suppose 1/3*y - u*y**4 - 2/3*y**3 + 1/3*y**5 + 4/3*y**2 - 2/3 = 0. What is y?
-1, 1, 2
Let z(s) be the first derivative of -s**7/5460 - s**6/1170 - s**5/780 + 13*s**3/3 + 30. Let c(d) be the third derivative of z(d). Determine f so that c(f) = 0.
-1, 0
Let r be (-30306)/10*64/(-192). Let j = r + -1010. Determine v, given that 0*v + 0 - 1/5*v**3 + j*v**2 = 0.
0, 1
Let d(v) be the first derivative of -5*v**3 - 3*v**2 + 0*v - 67 - 3/5*v**5 - 3*v**4. Factor d(q).
-3*q*(q + 1)**2*(q + 2)
Factor -3518 - 524*j - 17115 - 2*j**2 - 13689.
-2*(j + 131)**2
Let y = 256 - 1276/5. Let m be ((-28512)/5060)/(-18) - (-4)/46. Factor -y - 8/5*x**2 + m*x**3 + 2*x.
2*(x - 2)*(x - 1)**2/5
Let c be (-1 + 1)/(-10*23/(-115)). Find z, given that -4*z**4 - 44/7*z**3 + c + 36/7*z**5 + 8/7*z + 4*z**2 = 0.
-1, -2/9, 0, 1
Factor -83*b - b**3 - 188 - 184*b**2 - 124*b**2 + 257*b**2 - 109*b.
-(b + 2)**2*(b + 47)
Suppose 135*m + 183*m = -53*m - 27*m + 1194. Find y, given that -66/7*y**2 + 10/7*y**4 + 0 - 36/7*y**m - 20/7*y = 0.
-1, -2/5, 0, 5
Let j(f) be the third derivative of f**6/300 - 27*f**5/10 + 3434*f**4/5 - 40804*f**3/15 - f**2 - 1203. Factor j(b).
2*(b - 202)**2*(b - 1)/5
Let k(v) be the second derivative of 0 + 25/2*v**3 - 51*v + 18*v**2 + 7/4*v**4. Factor k(q).
3*(q + 3)*(7*q + 4)
Suppose 90*f = 96*f. Let s(g) be the third derivative of f + 0*g + 9*g**2 + 0*g**3 + 1/20*g**5 + 1/4*g**4. Factor s(q).
3*q*(q + 2)
Find m, given that 83*m**2 + 33*m - 20*m**2 - 26*m**2 - 35*m**2 + 127*m = 0.
-80, 0
Let g(o) be the third derivative of -o**7/525 + 19*o**6/75 + 39*o**5/25 + 59*o**4/15 + 79*o**3/15 + 675*o**2. Factor g(j).
-2*(j - 79)*(j + 1)**3/5
Let w = -1447/15 + 293/3. Solve 2/5*u**3 + w*u**2 + 2/5 + 6/5*u = 0 for u.
-1
Let y(z) = 2*z**2 + 39*z - 16. Let q be y(-20). Factor -32*v**3 - 33*v**3 + 56*v**3 - v**5 + 8*v**q - 18*v**2.
-v**2*(v - 6)*(v - 3)*(v + 1)
Let g(i) = 10*i - 10. Let l be g(4). Factor -3*u**2 + 46*u - 55*u + 42*u - l.
-3*(u - 10)*(u - 1)
Let v(i) be the first derivative of i**5/105 - 6*i**4/7 + 216*i**3/7 + 6*i**2 + i - 35. Let s(g) be the second derivative of v(g). Find d, given that s(d) = 0.
18
Let h = 27358096/818405 + 2/116915. Let 3/7*k + 48/7*k**2 + 21*k**5 + h*k**3 + 48*k**4 + 0 = 0. Calculate k.
-1, -1/7, 0
Let s(i) = 31*i**2 + 1921*i - 59. Let w be s(-62). Suppose -36 - 36*t - 12*t**2 - 4/3*t**w = 0. Calculate t.
-3
Let x(m) be the first derivative of -9*m**4/28 + 16*m**3/7 - 9*m**2/14 - 30*m/7 + 786. Solve x(n) = 0 for n.
-2/3, 1, 5
Let x(g) be the second derivative of -g**4/42 - 634*g**3/21 - 1264*g**2/7 - 3*g + 354. Factor x(l).
-2*(l + 2)*(l + 632)/7
Let s be 5/((((-2800)/(-84))/20)/((-2)/(-3))). Determine r, given that -22/5*r - 2/5*r**3 - s - 14/5*r**2 = 0.
-5, -1
Suppose -62*l + 131*l = 690*l - 2484. Let d(s) be the second derivative of -14*s + 0 - 18*s**2 + 14/3*s**3 + 1/45*s**5 + 17/27*s**l. Factor d(g).
4*(g - 1)*(g + 9)**2/9
Let w(n) = 4*n**3 + 2*n**2 - 5*n + 2. Let f be w(1). Find p, given that -1228*p - 1307*p + 6*p**f - 11*p**3 + 10985 + 180*p**2 + 15*p**2 = 0.
13
Let i(y) be the first derivative of -y**6/1260 + y**4/21 - 14*y**3 + 35. Let s(d) be the third derivative of i(d). Suppose s(q) = 0. Calculate q.
-2, 2
Let g = -509 + 533. Factor -g*c**4 - 48*c**3 + 3088*c**2 - 3088*c**2 - 3*c**5.
-3*c**3*(c + 4)**2
Let k(n) be the second derivative of n**4/96 - 13*n**3/48 - 115*n + 1. Find t, given that k(t) = 0.
0, 13
Let s(d) be the second derivative of d**5/20 + d**4/6 - 7*d**3/6 + d**2/2 + 5*d. Let c be s(3). Suppose -17*o**2 - 8*o**2 - 20*o + 10 - c*o = 0. Calculate o.
-2, 1/5
Factor 5420796696 + 3*q**3 + 6444720*q + 4215235*q + 1628971*q + 10962*q**2 + 3817288*q - 2754498*q.
3*(q + 1218)**3
Let f(a) = 14*a**4 + 446*a**3 - 48839*a**2 - 200695*a - 202505. Let b(u) = 3*u**4 - 2*u**2 + u - 1. Let r(c) = -15*b(c) + 3*f(c). Find q such that r(q) = 0.
-2, 225
Let j = -6839 - -6841. Let p(d) be the first derivative of -1/4*d**j - 1/12*d**3 - 12 - 1/4*d. Factor p(x).
-(x + 1)**2/4
Factor -4/5*k**2 - 1964/5 - 1968/5*k.
-4*(k + 1)*(k + 491)/5
Let b(v) be the third derivative of 37/40*v**4 + 0 + 18/5*v**3 + 52*v + 1/100*v**5 + v**2. Factor b(o).
3*(o + 1)*(o + 36)/5
Suppose -17*u = -3*u - 5600. Factor 135 - u*s + 123*s**2 + 10*s**3 + 85*s**2 + 47*s**2.
5*(s - 1)*(s + 27)*(2*s - 1)
Let n be 154/8 - 2/8. Let x be (-16)/152 + 458/n. Let -17 - x + 2*t**2 - 3*t**2 - 23 + 16*t = 0. What is t?
8
Let w(d) be the first derivative of -d**4/2 + 8*d**3 + 4*d**2 - 96*d - 2803. Factor w(a).
-2*(a - 12)*(a - 2)*(a + 2)
Let k = 381267 - 1525067/4. Factor 0 + 5/2*i**4 + k*i**5 - 77/2*i**2 + 147/4*i - i**3.
i*(i - 3)*(i - 1)*(i + 7)**2/4
Let p(t) be the second derivative of 1/24*t**6 + 0*t**2 + 1/12*t**4 + 0*t**3 - 9*t - 1/5*t**5 + 1/24*t**7 + 5. Find w such that p(w) = 0.
-2, 0, 2/7, 1
Let -16/3*q + 40/3 - 2/3*q**2 = 0. What is q?
-10, 2
Suppose 313510*k**4 - 313446*k**4 + 162*k**3 + 110*k**3 + 265*k**2 + 75*k = 0. Calculate k.
-3, -5/8, 0
Let k(l) be the second derivative of l**7/70 - 3*l**6/50 - 3*l**5/10 - l**4/10 + 9*l**3/10 + 3*l**2/2 + 445*l. Determine y so that k(y) = 0.
-1, 1, 5
Let c be (-6 + 0)*(-3 + 32/12). Let i = 231/2 + -114. Solve 0 + i*t - 3/4*t**c = 0.
0, 2
Suppose -4*a = i - 0*a + 13, -4*i + a = -16. Let l = 26619 + -26615. Determine p so that -p**2 - p + 0 + 1/4*p**i + 1/4*p**l = 0.
-2, -1, 0, 2
Suppose -7 = -2*x + 2*b + 3, -5*x + 3*b = -21. Suppose 14*l**4 + 4*l**x - 18*l**5 + 28*l**4 - 47*l**4 + 19*l**4 = 0. What is l?
-2/9, 0, 1
Let u(m) be the second derivative of 8*m**7/21 + 694*m**6/15 - 827*m**5/5 - 2323*m**4/3 - 1594*m**3/3 + 712*m**2 + 1912*m. Determine v, given that u(v) = 0.
-89, -1, 1/4, 4
Let b(z) be the second derivative of z**7/42 - 2*z**6/15 - 3*z**5/4 + 5*z**4/6 + 22*z**3/3 + 12*z**2 - 303*z. Find j such that b(j) = 0.
-2, -1, 2, 6
Let z = 324