. Let p = z + -218. What is g in 9/5*g**p + 6/5*g - 24/5*g**3 + 9/5*g**4 + 0 = 0?
-1/3, 0, 1, 2
Let l(u) be the second derivative of -19*u**5/4 - 191*u**4/6 - 293*u**3/6 - 3*u**2 + 8*u + 97. Factor l(t).
-(t + 1)*(t + 3)*(95*t + 2)
Let n(p) be the second derivative of -2*p**6/15 - 6*p**5/5 + 64*p**3/3 - 1259*p. Find y, given that n(y) = 0.
-4, 0, 2
Let q(c) be the first derivative of 14/3*c**3 - 35 - 8*c - 3*c**2. Determine y, given that q(y) = 0.
-4/7, 1
Let w(b) be the first derivative of b**3/4 + 219*b**2/8 + 900*b - 8838. Factor w(j).
3*(j + 25)*(j + 48)/4
Let r be 56/(-70)*(-115)/2. Solve -30*u + r + 3*u**2 + 2*u**2 - 1 = 0 for u.
3
Let h(o) be the third derivative of o**6/120 - o**5/60 - o**4/24 - 73*o**2. Let t(z) = 15*z**2 - 9*z - 48. Let a(j) = -3*h(j) - t(j). Factor a(p).
-3*(p - 2)*(p + 2)*(p + 4)
Suppose 2*a = 17*m - 15*m - 20, 0 = 5*a + 15. Factor 2*b**4 + 18*b**3 - m*b**2 + 2*b**2 + 10*b**2 + 11*b**2.
2*b**2*(b + 1)*(b + 8)
Let o(t) be the first derivative of 2*t**3/15 + 54*t**2/5 + 736*t/5 + 2925. Determine c, given that o(c) = 0.
-46, -8
Suppose 25*b - 76 = 6*b. Determine y, given that 6 - 313*y**2 + 3*y**b + 23*y + 15*y**3 + 340*y**2 - 2*y = 0.
-2, -1
Find a such that 6*a - 426 - 648*a**2 + 363*a**2 + 1091 - 380*a**2 + 5*a**3 - 11*a = 0.
-1, 1, 133
Let y = -698030/11 - -63460. Factor -2/11*w**3 - 96/11*w - 128/11 + y*w**2.
-2*(w - 8)**2*(w + 1)/11
Let s(u) be the first derivative of -u**4/4 - 151*u**3/3 + 77*u**2 + 304*u + 992. Suppose s(i) = 0. What is i?
-152, -1, 2
Let g(h) be the third derivative of h**8/112 - 11*h**7/70 + 27*h**6/40 + 11*h**5/20 - 7*h**4/2 - 28*h**2 + 22. Find k such that g(k) = 0.
-1, 0, 1, 4, 7
Let t(z) be the second derivative of 2*z**6/15 - 13*z**5/8 + 8*z**4/3 - 7*z**3/12 - 1133*z + 1. Find c such that t(c) = 0.
0, 1/8, 1, 7
Let m(n) be the second derivative of -n**5/50 + 7*n**4/3 + 48*n**3/5 - 1431*n. Factor m(l).
-2*l*(l - 72)*(l + 2)/5
Factor 2/7*j**2 - 608/7*j - 610/7.
2*(j - 305)*(j + 1)/7
Suppose 3*m - 2473 = -s, -15*m + 10*m + 3*s + 4131 = 0. Factor -434 + m*f + f**3 - 721 + 4*f**3 - 55 - 120*f**2.
5*(f - 11)**2*(f - 2)
Let n(a) = 2*a**3 + 15*a**2 + 7*a - 4. Let d be n(-7). Let c be 0/(4/16*d). Factor 3/4*o - 1/4*o**2 + c.
-o*(o - 3)/4
Let h be 22*47/(-3102)*((-9)/1 + -1 + 1). Determine w, given that 64/13 - 2/13*w**h - 30/13*w**2 + 36/13*w = 0.
-16, -1, 2
Let w = 1285 + -1293. Let f be w/((-64)/164) - 1. Solve -f*r**2 - 5/2 - 9/2*r**3 + 29/2*r = 0.
-5, 1/3
Find q, given that -q**5 - 9*q + 62*q**4 - 25*q**4 + 19*q**3 - 37*q**4 - 9*q**3 = 0.
-3, -1, 0, 1, 3
Suppose 200/7 + 10/7*k**3 - 506/7*k**2 + 296/7*k = 0. Calculate k.
-2/5, 1, 50
Suppose -469 = -13*a + 714. Let v = a + -91. Find o such that 0*o + 0*o**2 + 1/2*o**3 + 0*o**4 + v - 1/2*o**5 = 0.
-1, 0, 1
Let x be (-135 + 136)*(-17 + 0). Let o be ((-1)/(-10))/((-20)/850*x). Factor 2*t + 7/4 + o*t**2.
(t + 1)*(t + 7)/4
Let s(k) be the third derivative of k**7/840 - k**6/48 + k**5/240 + 5*k**4/4 + 470*k**2. What is u in s(u) = 0?
-3, 0, 5, 8
What is j in -374 + 223*j + 697 - 764 + 215*j + 3*j**2 = 0?
-147, 1
Let t(d) be the first derivative of 7 + 0*d**4 + 2*d + 0*d**2 - 1/5*d**5 + 0*d**3 + 2/21*d**7 + 0*d**6. Let k(q) be the first derivative of t(q). Factor k(r).
4*r**3*(r - 1)*(r + 1)
Let y(z) be the third derivative of z**8/1344 - 23*z**7/280 + 503*z**6/240 + 211*z**5/8 + 9361*z**4/96 + 1369*z**3/8 - 2*z**2 - 502. Solve y(o) = 0 for o.
-3, -1, 37
Let a(i) be the second derivative of 2*i**7/273 - i**6/13 + 19*i**5/65 - 11*i**4/26 - 4*i**3/39 + 12*i**2/13 - 935*i. Solve a(f) = 0.
-1/2, 1, 2, 3
Let x = 16 + -13. Suppose 68 = -2*g - x*a + 298, -3*g - 5*a = -343. Suppose 124*v + g*v - 255*v + 8 + 2*v**2 = 0. What is v?
1, 4
Let b(p) be the third derivative of 3*p**8/28 - 79*p**7/420 + p**6/48 + p**5/60 + 2*p**2 - 502*p. What is t in b(t) = 0?
-1/8, 0, 2/9, 1
Let a(t) be the second derivative of -t**6/960 - t**5/80 - 3*t**4/64 + 16*t**2 + 232*t. Let p(q) be the first derivative of a(q). Factor p(u).
-u*(u + 3)**2/8
Suppose 6 = 3*p, -26 = -3*d - 5*p + 56. Suppose 172*n**3 - 26*n**2 + d*n + 45*n**4 + 9 - 184*n**3 - 28*n**2 - 12*n**5 = 0. Calculate n.
-1, -1/4, 1, 3
Let u(w) = w**3 + 3*w**2 - 6*w - 6. Let m be u(-4). Suppose m*s - 4 = -2*i + 12, 10 = 2*i. Factor s*d**3 + 16*d**2 + 10 + 6*d**3 + 2 + 33*d + 14*d**2.
3*(d + 1)**2*(3*d + 4)
Let q be (-4 - 112/(-35))*7/(-672). Let c(o) be the second derivative of -q*o**6 + 1/24*o**4 - 26*o + 0*o**3 + 0 - 1/8*o**2 + 0*o**5. Factor c(u).
-(u - 1)**2*(u + 1)**2/4
Let x(j) be the third derivative of j**5/480 + 59*j**4/192 + 45*j**3/8 + 2403*j**2. What is s in x(s) = 0?
-54, -5
Let o = -1222 - -1255. Suppose 0 = -10*s + 27 + o. Factor -s*c**2 - 32 + 24*c + 1/2*c**3.
(c - 4)**3/2
Let t be 372/42 + (-3190)/(-145). Factor -26/7*k**3 - 270/7*k + t + 18*k**2 + 2/7*k**4.
2*(k - 4)*(k - 3)**3/7
Let f = -1775 + 1785. Let m be -213*f/(-210) - 9. Factor 0 + 22/7*r**4 + m*r**3 + 12/7*r**5 + 0*r - 2/7*r**2.
2*r**2*(r + 1)**2*(6*r - 1)/7
Let p(r) be the first derivative of r**4/4 - 5*r**3/2 - 9*r**2 + 138*r - 168. Let z(a) be the first derivative of p(a). What is m in z(m) = 0?
-1, 6
Let x(a) be the first derivative of 0*a + 1/11*a**4 - 2/11*a**2 - 2/33*a**3 + 2/55*a**5 - 30. Let x(j) = 0. Calculate j.
-2, -1, 0, 1
Let o(x) be the third derivative of x**5/720 + 101*x**4/48 + 151*x**3/9 - 6259*x**2. Factor o(d).
(d + 2)*(d + 604)/12
Let p(q) be the third derivative of q**6/72 - q**5/24 + 92*q**3/3 + 81*q**2. Let o(d) be the first derivative of p(d). Factor o(m).
5*m*(m - 1)
Suppose -10*f**2 - 30*f - 104*f**3 + 29 + 23 + 4*f**5 + 2*f**2 - 44*f**4 + 78*f + 52*f = 0. Calculate f.
-1, 1, 13
Let g be (282/90 - 3)*(-2 + 17). Let s(i) be the second derivative of 0*i**3 + 6*i - 1/3*i**4 + 0 + 0*i**5 + 2/15*i**6 + 0*i**g. Let s(t) = 0. Calculate t.
-1, 0, 1
Let k(s) be the third derivative of -s**5/270 + 65*s**4/54 + 88*s**3/9 + 3*s**2 - 1804*s. Suppose k(p) = 0. What is p?
-2, 132
Suppose -8*j = -0*j - 16. Factor -3*q**5 + 0*q**4 + 45*q**3 - 125*q**2 + 74*q**j + 18*q - 9*q**4.
-3*q*(q - 1)**3*(q + 6)
Factor 54*k - 7/2*k**2 - 45/2.
-(k - 15)*(7*k - 3)/2
Let r(x) be the second derivative of -53*x + 0 + 45/2*x**2 + 5/3*x**4 + 185/6*x**3. Find s, given that r(s) = 0.
-9, -1/4
Let l(c) be the third derivative of -c**5/15 + 11*c**4 - 610*c**3/3 - 816*c**2 + 2*c + 3. Factor l(n).
-4*(n - 61)*(n - 5)
Let x(s) be the first derivative of s**4/14 - 52*s**3/21 + 109*s**2/7 - 24*s + 1083. Solve x(j) = 0 for j.
1, 4, 21
Suppose 52 - 48 = -2*u. Let r be u/(((-9)/6 - 3) + 0). Factor 2/9 + 4/9*f**3 + r*f**2 + 2/9*f**5 - 2/3*f - 2/3*f**4.
2*(f - 1)**4*(f + 1)/9
Suppose 0 = 5*k + 289 - 294. Let h be -36 + 32 - -7*k. Factor 6/5*l + 0 - 14/5*l**2 - 2/5*l**4 + 2*l**h.
-2*l*(l - 3)*(l - 1)**2/5
Let a(w) = 4*w**3 - 6*w**2 + 4*w + 1. Let v be a(2). Suppose r - 5*k = 20, -r - 18*k = -v*k + 4. Determine o, given that -3/2*o**2 + 0*o + r + 3/4*o**3 = 0.
0, 2
Let w(m) = -4*m**2 + 142*m - 445. Let z be w(32). Let h(q) be the third derivative of -1/20*q**5 + 3/8*q**4 + 0 - 20*q**2 + 2*q**z + 0*q. Solve h(o) = 0.
-1, 4
Let -5*u**5 - 65*u**4 - 978 + 14740*u**3 - 225*u + 1190*u**2 - 14510*u**3 - 147 = 0. What is u?
-15, -3, -1, 1, 5
Let c be ((-27)/117)/(3/819*-7). What is d in -1/3*d**3 + c*d**2 - 196/3 - 56*d = 0?
-1, 14
Let t(i) be the second derivative of 50*i**7/7 - 64*i**6/3 + 543*i**5/20 - 229*i**4/12 + 8*i**3 - 2*i**2 + 70*i. Solve t(j) = 0 for j.
1/3, 2/5, 1/2
Let s = 4212 - 4212. Let r(a) be the first derivative of 2*a**3 + 3*a**2 + 3/8*a**4 - 7 + s*a. What is t in r(t) = 0?
-2, 0
Let c = -142 - -344. Factor -7*a**2 - 80*a + 2*a**2 - 31 + 93 - c.
-5*(a + 2)*(a + 14)
Let u(k) = -k + 3. Let f be u(0). Solve 48917*g**2 - 48917*g**2 - f*g**4 + 36*g**3 = 0 for g.
0, 12
Let j(d) be the third derivative of -17*d**6/120 - 169*d**5/30 - 268*d**4/3 - 704*d**3 - 3*d**2 - 224*d - 2. Find c, given that j(c) = 0.
-8, -66/17
Let k(s) be the second derivative of 7*s**6/15 - 83*s**5/2 - 151*s**4/3 + 40*s**3 - 10385*s. Factor k(a).
2*a*(a - 60)*(a + 1)*(7*a - 2)
Let r(p) be the second derivative of p**6/10 - 51*p**5/20 - 9*p**4/2 + 2002*p. Factor r(n).
3*n**2*(n - 18)*(n + 1)
Suppose -106*u - 4381 = -2327 - 2266. Let -60/7*y**u - 117/7*y + 166/7*y**3 - 25/7*y**5 + 54/7