5 - 9*x**5/7 - 265*x**4/21 + 13*x**3/3 + 507*x**2/7 - 11*x + 27. Determine t, given that v(t) = 0.
-3, -1, 1, 13
Let n(s) be the first derivative of 2*s**6/7 - 2652*s**5/35 - 8025*s**4/28 - 2906*s**3/7 - 4029*s**2/14 - 96*s - 4662. Determine x, given that n(x) = 0.
-1, -1/2, 224
Let n(p) be the first derivative of 124 - 1/30*p**5 - 1/2*p**2 - 1/6*p**4 + 0*p + 11/18*p**3. Determine c, given that n(c) = 0.
-6, 0, 1
Let k be (-1355)/(-4750) - (-6)/(-57). Let r = 29/50 - k. Solve 2/5*g**4 + 2/5*g + 0 - 2/5*g**2 - r*g**3 = 0 for g.
-1, 0, 1
Let t(x) = -1397*x**3 - 2868*x**2 - 1417*x - 34. Let w(b) = -933*b**3 - 1912*b**2 - 945*b - 21. Let z(r) = -5*t(r) + 8*w(r). Suppose z(m) = 0. Calculate m.
-1, 2/479
Let v(h) = -7*h**2 + 42*h - 59. Let n be v(3). Let m(f) be the second derivative of 0*f**2 + 1/75*f**6 + 0 + 1/5*f**3 - 1/6*f**n + 9*f + 1/50*f**5. Factor m(t).
2*t*(t - 1)**2*(t + 3)/5
Factor -5/9*l**2 - 31/9*l + 28/9.
-(l + 7)*(5*l - 4)/9
Let b(a) be the second derivative of a**7/1680 + a**6/720 - a**3/3 - 9*a**2/2 - 125*a. Let m(t) be the second derivative of b(t). Let m(l) = 0. What is l?
-1, 0
Let z(o) be the third derivative of 0*o + 0 + 65*o**2 - 2*o**3 + 1/20*o**5 - 3/8*o**4. Solve z(q) = 0 for q.
-1, 4
Let c(i) be the first derivative of i**6/180 - 17*i**5/270 - 2*i**4/27 - 2*i**3/3 - 25*i - 46. Let v(t) be the third derivative of c(t). What is o in v(o) = 0?
-2/9, 4
Suppose -2/11*p**3 - 70/11*p + 38/11*p**2 + 34/11 = 0. What is p?
1, 17
Let g(n) = -2*n**3 - 194*n**2 - 1744*n - 37. Let s be g(-10). Factor 2/9*h**2 - 1/9*h - 1/9*h**s + 0.
-h*(h - 1)**2/9
Let i be (82/48 + (-27)/72)*(-483)/(-1610). Suppose -7/5*u**2 - 9/5*u**3 + u**4 + i + 9/5*u = 0. Calculate u.
-1, -1/5, 1, 2
Let d be (-2)/8 + -2*34/(-16). Suppose -12 + 4 = -d*a. Determine q so that 56*q**2 - 3*q**4 + 2*q**5 - 8*q**3 + 7*q**4 - 72*q**a = 0.
-2, 0, 2
Let y(g) = -194*g**3 - 4264*g**2 + 9920*g - 368. Let p(w) = -49*w**3 - 1071*w**2 + 2480*w - 92. Let q(i) = -9*p(i) + 2*y(i). Factor q(s).
(s - 2)*(s + 23)*(53*s - 2)
Let d be (4 + 160/(-25))*(1 - 11). Factor 39*o**2 - 3*o**2 + 2*o**4 + d*o**3 - 22 - 16*o**2 - 24*o.
2*(o - 1)*(o + 1)**2*(o + 11)
Let d = -13 + 4. Let j = d - -12. Determine s so that -4*s + 11*s**3 - 12*s**j + 5*s**2 + 0*s**2 = 0.
0, 1, 4
Let q(j) be the third derivative of -j**6/600 - 419*j**5/300 - 364*j**4 + 1470*j**3 + j**2 - 21*j + 20. Factor q(z).
-(z - 1)*(z + 210)**2/5
Let s be (49/196)/(-1 + (-3)/(-2)). Let c(g) = 11*g**2 - g. Let a be c(0). Factor 1/4*q**2 + 0*q + a - s*q**3 + 1/4*q**4.
q**2*(q - 1)**2/4
Let k(r) be the first derivative of -2*r**6/3 - 76*r**5/5 - 115*r**4 - 964*r**3/3 - 416*r**2 - 256*r + 2813. Factor k(m).
-4*(m + 1)**3*(m + 8)**2
Solve -54*a + 0 + 2/9*a**3 - 4*a**2 = 0 for a.
-9, 0, 27
Let g(j) be the third derivative of j**6/780 - 146*j**5/195 + 289*j**4/39 - 384*j**3/13 - 2807*j**2. Solve g(r) = 0.
2, 288
Suppose 10*m**2 - 112/3*m + 32 - 3/2*m**4 + 8/3*m**3 + 1/6*m**5 = 0. Calculate m.
-3, 2, 4
Let l be 4/6 + 8/6. Factor -8 - 38*c**2 - 6*c + l*c + 34*c**2 - 8*c.
-4*(c + 1)*(c + 2)
Find h such that -50/3 - 52/3*h - 2/3*h**2 = 0.
-25, -1
Suppose 31*f**2 - 32 - 7 + 3*f + 24*f**2 - 21 + 37*f + 5*f**4 - 40*f**3 = 0. What is f?
-1, 1, 2, 6
Let r be ((-90972)/(-475))/(-12) - -16. Let j(o) be the first derivative of 29 + 0*o**2 - r*o**5 + 1/15*o**3 + 0*o + 0*o**4. Factor j(l).
-l**2*(l - 1)*(l + 1)/5
Let y(b) = -b**3 + 3*b**2 - b + 1. Let c(k) = 2*k**3 - 61*k**2 + 242*k + 3. Suppose 138*d - 133*d - 15 = 0. Let m(i) = d*y(i) - c(i). Factor m(f).
-5*f*(f - 7)**2
Let h be (-28 - 2184/(-63)) + (1 - 1) + -5. Let s(i) be the first derivative of -h*i**3 + 0*i + 5*i**4 + 17 + 0*i**2 + 5*i**5. Determine d, given that s(d) = 0.
-1, 0, 1/5
Suppose 3*o = 4*p, -o = p - 3*o. Let i = -5 + 11. Factor p*y + 12*y - 3*y**4 + 6*y**4 + 12*y**3 + 24*y**2 - i*y**2 + 3.
3*(y + 1)**4
Suppose -2*h + 5106 = -2*v, v + 2 = 5. Suppose 5*m - 3*i - 89 = 0, i = 5*m - 33 - 50. Let h - 2556 - 52*b**2 + 44*b**3 + m*b - 8*b**4 = 0. Calculate b.
0, 1/2, 1, 4
Let b(t) be the second derivative of 1/4*t**4 - 3/4*t**3 + 0*t**2 - 1/40*t**5 + 37*t + 0. Factor b(m).
-m*(m - 3)**2/2
Let v(l) = -3*l - 2*l + 23*l + 41*l**2 + 14 + 7*l + l**4 + 10*l + 21*l**3. Let y(r) = -20*r**3 - 40*r**2 - 35*r - 15. Let s(b) = -5*v(b) - 4*y(b). Factor s(f).
-5*(f + 1)**3*(f + 2)
Determine a, given that 31*a + 38*a**2 + 393 + 365*a - 35*a**2 = 0.
-131, -1
Let x(n) = n**3 - 2 - 11*n**2 + 5*n**2 - 3*n + 3*n**2 + 0*n**3. Let o be x(5). Factor -15*j**4 + 8*j**3 + 6*j**3 - o*j**3 + 9*j**3 + 25*j**5.
5*j**3*(j - 1)*(5*j + 2)
Let n(d) be the third derivative of 0*d + 1/1470*d**7 + 1/60*d**5 + 0*d**3 - 104*d**2 - 1/105*d**6 + 0*d**4 + 0. Determine k so that n(k) = 0.
0, 1, 7
Factor -14*x - 7*x - 3*x**3 - 43 - 4837*x**2 + 4867*x**2 - 11.
-3*(x - 9)*(x - 2)*(x + 1)
Let q(y) be the first derivative of -7*y**6/240 + y**5/5 - y**4/4 + 11*y**3/3 + 48. Let w(i) be the third derivative of q(i). What is g in w(g) = 0?
2/7, 2
Suppose -2/3*p**5 - 28/3*p**3 + 0 + 0*p**2 + 0*p + 6*p**4 = 0. Calculate p.
0, 2, 7
Let t = 53 - 58. Let w(y) = y**3 + 7*y**2 + 6*y - 4. Let v be w(t). Factor -39*d - 50*d + 73*d - 4*d**3 + v*d**2.
-4*d*(d - 2)**2
Let t = 73537/17004 + 49/5668. Let 4*d**3 + 1/3*d**4 - 14/3*d**2 + t - 4*d = 0. What is d?
-13, -1, 1
Suppose -65*d = 119*d - 2760. Let q(l) be the first derivative of d*l - 10*l**2 + 5/3*l**3 - 7. Determine r, given that q(r) = 0.
1, 3
Let s(w) be the first derivative of -w**4/57 + 5*w**3/57 - 2*w**2/19 - 48*w + 14. Let i(b) be the first derivative of s(b). Factor i(o).
-2*(o - 2)*(2*o - 1)/19
Let v(d) be the third derivative of -d**8/8960 - d**7/336 - 3*d**6/320 - 13*d**4/12 + d**3/6 + 15*d**2. Let s(g) be the second derivative of v(g). Factor s(h).
-3*h*(h + 1)*(h + 9)/4
Let o(b) = -b**2 - b. Let n(f) = f**3 + 17*f**2 + 5*f - 9. Let v(t) = n(t) + 6*o(t). Let y be v(-11). Solve 0 - 6*x**2 + 4*x**y + 3*x**4 + 1 - 2*x**4 = 0.
-1, 1
Let o = -276419 - -6357655/23. Factor 22/23*m**3 + 24/23*m**2 + 0 + 4/23*m**4 - o*m.
2*m*(m + 3)**2*(2*m - 1)/23
Let 51*a**3 - 37*a**4 - 470*a**2 - 1200*a + 17*a**4 + 15*a**4 - 131*a**3 - 1125 = 0. What is a?
-5, -3
Let t(x) = 31*x**3 + 70*x**2 + 21*x - 9. Let h = 464 + -466. Let r(o) = o**3 + o - 1. Let y(l) = h*t(l) + 18*r(l). Suppose y(c) = 0. Calculate c.
-3, -2/11, 0
Let m(n) be the first derivative of -2/3*n - 1/12*n**4 - 115 - 1/6*n**3 + 1/30*n**5 + 2/3*n**2. Determine i, given that m(i) = 0.
-2, 1, 2
Let s(a) = -7*a**4 - 708*a**3 + 20867*a**2 + 682*a - 20886. Let h(g) = -g**4 - 118*g**3 + 3478*g**2 + 114*g - 3481. Let b(j) = 39*h(j) - 6*s(j). Factor b(r).
3*(r - 59)**2*(r - 1)*(r + 1)
Suppose a + 9*y = -23*y - 154, 164 = 4*a - 2*y. Let x(l) be the second derivative of -40*l**2 - a*l + 20/3*l**3 + 0 - 5/12*l**4. Factor x(b).
-5*(b - 4)**2
Suppose 2*a = -j + 3, 2*a = -22*j + 18*j. Find d, given that 302*d**a + 25*d**3 + 2*d - 7*d - 322*d**2 = 0.
-1/5, 0, 1
Let a(q) = -84*q**2 - 1833*q - 8346. Let y(h) = -17*h**2 - 370*h - 1669. Let x(m) = 4*a(m) - 21*y(m). Factor x(g).
3*(g + 5)*(7*g + 111)
Let c(p) be the third derivative of -p**6/60 + 7*p**5/15 - 19*p**4/4 + 24*p**3 + 2*p**2 - 205. Let c(a) = 0. What is a?
3, 8
Let d be (-3726)/3105*(-1)/1. Let 8/15 + d*q - 2/15*q**5 - 16/15*q**3 + 4/15*q**2 - 4/5*q**4 = 0. What is q?
-4, -1, 1
Let l(c) = 9*c**2 + 86*c - 58. Let y(f) = -2 - 11*f**2 + 22*f + 33 - 109*f + 36 - 8. Let a(v) = 7*l(v) + 6*y(v). Factor a(p).
-(p - 26)*(3*p - 2)
Factor 2/3*d**2 + 192 - 292/3*d.
2*(d - 144)*(d - 2)/3
Let f = 1536824/7 + -219546. Factor -f*y**3 - 4 + 4*y**2 + 2/7*y.
-2*(y - 14)*(y - 1)*(y + 1)/7
Let z(c) = 39*c**3 + 2430*c**2 - 4926*c + 18. Let j(u) = -9*u**3 - 608*u**2 + 1232*u - 4. Let n(p) = -9*j(p) - 2*z(p). Suppose n(b) = 0. Calculate b.
-206, 0, 2
Let f(r) be the first derivative of -4/3*r**3 + 0*r + 0*r**5 - 7 + 0*r**2 + 1/6*r**4 - 1/90*r**6. Let j(o) be the third derivative of f(o). Factor j(t).
-4*(t - 1)*(t + 1)
Let d(h) be the first derivative of h**4/14 - 2174*h**3/21 + 295935*h**2/7 - 589698*h/7 - 9106. Factor d(z).
2*(z - 543)**2*(z - 1)/7
Let f(v) = 2035*v - 28488. Let k be f(14). Let 21*d + 3/2*d**k - 45/2 = 0. Calculate d.
-15, 1
Let w be (1/(-4)*0/9)/(-1). Let p = 481/361 - -1/1083. Let w*j**2 + 2/3 + 4/3*j - 2