*5 + 1/204*d**4. Find v, given that c(v) = 0.
-1, 1
Let d(f) be the first derivative of -49*f**4/9 + 14*f**3/9 - f**2/6 - 258*f + 147. Let u(j) be the first derivative of d(j). Suppose u(k) = 0. What is k?
1/14
Let s(d) be the second derivative of -d**7/21 - 2*d**6/15 + 29*d**5/5 - 26*d**4/3 - 19*d**3 + 54*d**2 - 12*d + 64. Suppose s(w) = 0. What is w?
-9, -1, 1, 6
Let f = 116 - 105. Suppose f*t**2 - 36*t**2 + 8*t**2 - 44*t + 13*t**2 = 0. Calculate t.
-11, 0
Suppose 0 = 4*c + 5*o - 21 - 13, -8 = -2*c + 2*o. Let j be 11/c + (-19)/(-114). Factor -5*f**3 + 25*f**j + 9*f + 16 - 44*f - 5*f + 4.
-5*(f - 2)**2*(f - 1)
Let p(w) be the third derivative of -w**5/60 + 70*w**4/3 - 39200*w**3/3 - 7*w**2 + 35*w + 2. Factor p(j).
-(j - 280)**2
Let o(v) = v**3 - 2*v**2 + 2. Let x(t) = 20*t**4 - 388*t**3 - 1028*t**2 - 784*t - 168. Let p(n) = 4*o(n) - x(n). What is l in p(l) = 0?
-1, -2/5, 22
Let f(v) be the second derivative of -v**7/4410 + v**6/1260 - 5*v**4 + v - 3. Let p(i) be the third derivative of f(i). Solve p(o) = 0 for o.
0, 1
Let z be 3/(5/((-20)/(-6))). Factor -32*p**2 + z*p**5 + 28*p**3 + 18*p - 128 - 12*p**4 + 63 + 0*p**4 + 61.
2*(p - 2)*(p - 1)**4
Let a be -2 + 6 + (-26)/(-2). Suppose -a*s + 22*s - 85 = 0. Find z, given that s*z**3 + 5*z**5 + 36*z**4 + 8*z - 8*z**5 - 36*z**2 - 9*z**3 - 13*z**5 = 0.
-1, 0, 1/4, 1, 2
Determine k so that -834768/7*k + 4470/7*k**2 - 6/7*k**3 + 830304/7 = 0.
1, 372
Let u(m) = 7*m**2 + 450*m + 128. Let x be u(-64). Let s(k) be the first derivative of 0*k + x*k**2 + 20 - 8/15*k**3 + k**4. Let s(l) = 0. Calculate l.
0, 2/5
Let g(f) be the first derivative of -12/7*f - 3/35*f**5 + 18/7*f**2 + 76 - 13/7*f**3 + 9/14*f**4. Suppose g(n) = 0. Calculate n.
1, 2
Solve 128/3 - 616/3*r + 106/3*r**3 + 130*r**2 - 8/3*r**4 = 0.
-4, 1/4, 1, 16
Factor -2513*i - 21*i**2 + 54*i**2 - 30*i**2 + 53*i + 504300.
3*(i - 410)**2
Let g(p) be the first derivative of -4*p**3/3 + 478*p**2 + 960*p - 253. Find q such that g(q) = 0.
-1, 240
Let d(u) = -u**2 + 7*u - 5. Let s = -31 - -37. Let f be d(s). Factor 4*n**5 - 163*n**4 + 147*n**4 + 16*n**2 - f - 4*n**3 + 1.
4*n**2*(n - 4)*(n - 1)*(n + 1)
Let i be (-1)/(4/12) + -110. Let w = i + 123. Suppose 8*l + 2*l**4 - 4*l**3 + 18*l + 6*l**2 - 14*l**2 - w*l = 0. Calculate l.
-2, 0, 2
Let w(n) = 29*n**2 - 7*n + 23*n**2 - 45*n**2 + 12 + 12. Let y(l) = -l**2 - 3. Let d(a) = w(a) + 6*y(a). Let d(v) = 0. Calculate v.
1, 6
Let r(y) be the third derivative of -y**6/360 - y**5/5 - 257*y**4/72 - 21*y**3 + 6549*y**2. Solve r(l) = 0.
-27, -7, -2
Suppose 2*c - 2*h = 20, 0 = 2*c - 4*h + 7*h + 5. Let -3*l**4 - 77*l**2 + c*l**3 + 46*l**2 + 33*l**2 = 0. What is l?
-1/3, 0, 2
Let o(x) = -7*x**2 + 850*x + 1704. Let n(d) = -d**2 + 2*d + 5. Let r(z) = -16*n(z) + 2*o(z). Let r(b) = 0. Calculate b.
-832, -2
Let s(v) be the first derivative of 0*v**3 + 2 - 2/3*v**6 + v**4 + 0*v + 0*v**2 + 0*v**5. Factor s(l).
-4*l**3*(l - 1)*(l + 1)
Let h = 243 + -49. Let y = h + 68. Factor -26*k - 3*k**2 - 370 + y - 10*k.
-3*(k + 6)**2
Let x(h) = -h**3 - 5*h**2 - 5*h + 5. Let b be x(-5). Let k = 32 - b. Factor -8 + 19*m**2 - 36*m**k - 12*m + 13*m**2.
-4*(m + 1)*(m + 2)
Let d(j) be the second derivative of -j**8/672 + j**6/240 - 71*j**2/2 - 72*j. Let k(i) be the first derivative of d(i). Find m, given that k(m) = 0.
-1, 0, 1
Let b = 1665 + -43273/26. Let y = b + -59/130. Factor 1/5*m - 2/5*m**3 + y*m**2 + 0.
-m*(m - 1)*(2*m + 1)/5
Determine a so that -2/11*a**2 + 366/11 + 116/11*a = 0.
-3, 61
Let v = -66437 + 265751/4. Factor -3*c**4 + 0*c + v*c**5 - 3/2*c**2 + 15/4*c**3 + 0.
3*c**2*(c - 2)*(c - 1)**2/4
Let p be ((-3)/(-2))/((-27)/(-54)). Let y be (2/p - 2)/(28/(-63)). Factor 2/5*t - 2/5*t**y + 0*t**2 + 0.
-2*t*(t - 1)*(t + 1)/5
Let m(o) = -120*o**3 - 2870*o**2 + 5315*o + 8505. Let l(z) = 13*z**3 + 319*z**2 - 591*z - 945. Let s(t) = -55*l(t) - 6*m(t). Solve s(x) = 0 for x.
-1, 3, 63
Let z(h) = 11*h**2 - 2*h - 5. Let g(o) = -9*o**2 + 3*o + 4. Let m(u) = 5*g(u) + 4*z(u). Let n be m(7). Suppose -i + n + 9/2*i**2 = 0. Calculate i.
0, 2/9
Suppose -63/4*v**2 + 3/4*v**4 + 69/4*v + 15/4*v**3 - 6 = 0. Calculate v.
-8, 1
Let b(x) be the second derivative of -x**6/50 - 63*x**5/100 + 27*x**4/5 + 2376*x**3/5 + 7776*x**2 + x + 221. Let b(a) = 0. Calculate a.
-12, 15
Let q(f) be the second derivative of -f**6/30 + 181*f**5/10 - 361*f**4/12 - 13*f + 46. Factor q(a).
-a**2*(a - 361)*(a - 1)
Let y(v) be the first derivative of 8/33*v**3 - 1/22*v**4 - 3/11*v**2 + 0*v + 123. Factor y(n).
-2*n*(n - 3)*(n - 1)/11
Let r(n) = 3*n**3 + 5*n**2 - n. Suppose 0 = 2*x + 8, -6*t + 5*t - 15 = 4*x. Let p(l) = -l**3 + l**2 + l. Let z(q) = t*r(q) + p(q). Factor z(d).
2*d**2*(d + 3)
Let m(c) be the third derivative of -c**5/30 + 1660*c**4/3 - 11022400*c**3/3 - 2*c**2 + 16*c + 15. Factor m(q).
-2*(q - 3320)**2
Let j be (-2415)/(-46)*(24/4 - (-284)/(-50)). Factor j*u + 588/5 + 3/5*u**2.
3*(u + 14)**2/5
Let l(c) = 20*c**2 - 3560*c + 262864. Let x(y) = 13*y**2 - 2373*y + 175242. Let s(n) = 5*l(n) - 8*x(n). Factor s(g).
-4*(g - 148)**2
Suppose -9*j + 290 = -4*j - 3*u, -j - 4*u + 35 = 0. Let k = j - 31. Determine n, given that -4*n**2 + 9*n - k*n + 5*n + 14*n = 0.
0, 1
Let n = -916 - -919. Suppose -5 = n*a - 2*v - 14, 3*v - 15 = -5*a. Solve 1/3 + d + 1/3*d**a + d**2 = 0 for d.
-1
Suppose 0 = 2519*r + 2523*r - 5020*r - 44. Let -3*j + 1/4*j**r + 9 = 0. What is j?
6
Let q be (-35)/(-175) + (-14)/(-2). Let v = 8 - q. Suppose 0 + 0*c**2 + 0*c + 2/5*c**5 - v*c**3 - 2/5*c**4 = 0. What is c?
-1, 0, 2
Let y = -2/33 - -30/11. Let j be ((-2)/4 + -1)/((-71)/142). Find u, given that 2/3*u**j - 4/3 + 10/3*u - y*u**2 = 0.
1, 2
Let z(m) be the second derivative of m**5/60 - m**4/8 - 2*m**3/3 + 53*m**2 - 32*m + 3. Let q(h) be the first derivative of z(h). Find y, given that q(y) = 0.
-1, 4
Suppose 4*y + 3*z = 46, -2*z = -3*y - y + 36. Let 74*p - 128 + y*p - 12*p**2 + 116*p = 0. Calculate p.
2/3, 16
Solve 3082342*l + 8889790500 - 23518642*l - 2777091*l**3 + 2777087*l**3 + 15660*l**2 = 0.
1305
Let i = -875 + 880. Solve -6*u**5 + 169 + 10985*u - 190*u**4 - 8450*u**2 - 4*u**5 - 2340*u**3 - 169 + 5*u**i = 0.
-13, 0, 1
Suppose -27 = -22*u - 5. Let b be ((0 - 0)*(4 - 5))/u. Let 8/3*j**4 + 4*j**3 + 2/3*j + 8/3*j**2 + 2/3*j**5 + b = 0. Calculate j.
-1, 0
Let 1350 - 1189*h - 2472*h - 2144*h + 756*h**2 - 25*h**3 = 0. Calculate h.
6/25, 15
Let d(l) = -l + 2. Let z be (5 + -1 - 3 - 2)*2. Let y be d(z). Find r such that -8*r**2 - 11*r**2 - 4*r + 20*r**2 + y = 0.
2
Let t(w) be the third derivative of -27*w**2 + 0*w + 7/36*w**4 - 1/90*w**5 + 0*w**3 + 0. Find a, given that t(a) = 0.
0, 7
Let h = -1/114291 + 21143839/457164. Let 20 + 5/4*r**4 + 105/2*r + 15*r**3 + h*r**2 = 0. Calculate r.
-8, -2, -1
Let u = 49 + -64. Let d = u - -19. What is o in 1/4*o**d + 0 - 1/4*o - 1/4*o**2 + 1/4*o**3 = 0?
-1, 0, 1
Let t(f) be the second derivative of -f**6/55 + 432*f**5/11 - 23629*f**4 + 1035360*f**3/11 - 1550883*f**2/11 - 2*f + 4043. Factor t(i).
-6*(i - 719)**2*(i - 1)**2/11
Let v(o) be the first derivative of -3*o**5/10 + 9*o**4/4 + 9*o**3/2 - 21*o**2/2 + 1553. Find b such that v(b) = 0.
-2, 0, 1, 7
Let i(j) be the second derivative of -j**5/20 - j**4/6 + 52*j**3/3 - 96*j**2 + 13009*j. Find n, given that i(n) = 0.
-12, 2, 8
Suppose -44/3 - 2/3*s**4 - 46*s**2 + 50/3*s**3 + 134/3*s = 0. What is s?
1, 22
Let n = -319054 - -4785868/15. Factor -2/15*y - 448/15*y**3 + n*y**2 + 0 + 392/15*y**4.
2*y*(y - 1)*(14*y - 1)**2/15
Solve -48/25 - 2/25*l**2 - 28/25*l = 0.
-12, -2
Let f be 4/42*(-238)/(-2040). Let r(u) be the second derivative of 1/12*u**5 - 1/4*u**4 + 12*u - 1/3*u**2 + 0 - f*u**6 + 7/18*u**3. Factor r(s).
-(s - 2)*(s - 1)**3/3
Let x be (80/50 + 0)*20. Find t, given that -426*t**3 - 744*t**2 - 284*t - 274*t**3 + 12*t - x - 196*t**4 = 0.
-2, -1, -2/7
Let g = 116349341/335 - 347312. Let t = -9/67 - g. Suppose 0*v + 2/5 - t*v**2 = 0. What is v?
-1, 1
Let f = 9 - 5. Let b(o) = -o**3 - 2*o - 1. Let w(s) = 3*s**3 - 3*s**2 + 8*s + 8. Let v(p) = f*b(p) + w(p). Suppose v(t) = 0. Calculate t.
-2, 1
Let r(a) be the second derivative of -a**8/2016 + a**7/210 + a**6/48 + a**5/45 - 19*a**2 + 2*a - 7. Let v(s) be the first derivative of r(s). Factor v(g).
-g**2*(g - 8)*(g + 1)**2/6
Let k be (-5 - -5)*(2 + (-25)/10). Let s(f) be the second der