 such that y(j) = 0.
-27, -1, 1, 2
Let a(z) be the second derivative of z**5/160 + 77*z**4/48 + 299*z**3/16 + 333*z**2/4 + 2*z - 576. Factor a(j).
(j + 3)**2*(j + 148)/8
Let 270 - 537/2*v - 3/2*v**2 = 0. What is v?
-180, 1
Let x be 90/126 - 10737/15120. Let z(v) be the third derivative of 0 + 0*v**4 + 0*v**3 + x*v**6 - 1/60*v**5 + 0*v - 2*v**2. Determine l so that z(l) = 0.
0, 2
Let l(i) be the first derivative of 3*i**6/7 - 16*i**5/35 - 36*i**4/7 + 128*i**3/21 + 144*i**2/7 - 256*i/7 - 315. What is x in l(x) = 0?
-2, 8/9, 2
Let v(g) be the second derivative of 0*g**2 + 0*g**3 + 0 + 142*g + 484/105*g**7 + 0*g**4 + 1/50*g**5 + 44/75*g**6. Factor v(l).
2*l**3*(22*l + 1)**2/5
Let n = 2/249509 - -4491152/1247545. Factor -6/5*f**4 + 12/5*f**3 + 0*f + 0 + n*f**2.
-6*f**2*(f - 3)*(f + 1)/5
Let g(z) = 8*z**2 + 689*z + 1486. Let x(s) = 5*s**2 + 455*s + 990. Let t(y) = 5*g(y) - 7*x(y). Suppose t(n) = 0. Calculate n.
-50, -2
Let i(m) = 12*m**3 - 57*m. Let n(t) = -3*t**3 + 14*t. Let r be 1/(3/6) + -9 + 5. Let q(h) = r*i(h) - 9*n(h). Let q(y) = 0. What is y?
-2, 0, 2
Let w be (28/2 + -12)*(-57)/(-2). Determine c, given that 13*c**2 + w*c**5 - 55*c**5 - 14*c**4 - c**2 + 20*c**2 - 20*c**3 = 0.
-2, 0, 1, 8
Solve 14*l + 1261 - 2547 - 2*l**3 + 1274 = 0 for l.
-3, 1, 2
Suppose -2*l + 697*f - 8 = 695*f, l - 5*f + 32 = 0. Solve 18/7*h + 16/7*h**2 + 4/7 - 12/7*h**l - 20/7*h**4 - 6/7*h**5 = 0 for h.
-2, -1, -1/3, 1
Let f = 283 - 280. Solve 0*m**f - 60*m - 19*m**2 - 13*m**2 + 3*m**3 + 8*m**2 = 0 for m.
-2, 0, 10
Find h such that 2926/3*h**2 + 0 - 376*h**3 - 588*h - 24*h**4 = 0.
-18, 0, 7/6
Let p(h) be the second derivative of -2/45*h**6 - 2*h + 2/5*h**5 + 0*h**2 - 1/3*h**4 - 20/9*h**3 + 12. Suppose p(v) = 0. What is v?
-1, 0, 2, 5
Let n(x) be the first derivative of x**7/14 - 3*x**6/10 - 3*x**5/5 + 4*x**4 - 24*x**2 + 60*x - 29. Let a(h) be the first derivative of n(h). Factor a(z).
3*(z - 2)**3*(z + 1)*(z + 2)
Find m, given that 35*m**4 - 308*m**3 + 385*m**2 + 50 - 97 + 83*m**3 - 15*m - 1 - 132 = 0.
-4/7, 1, 3
Let z(j) be the second derivative of -8*j**7/21 - 46*j**6/3 + 613*j**5/20 + 1567*j**4/48 + 35*j**3/4 + 4058*j. Find x such that z(x) = 0.
-30, -1/4, 0, 7/4
Let w be ((-22)/55)/(7/(-7)). Factor -64/5*b**2 - w*b**3 - 512/5*b + 0.
-2*b*(b + 16)**2/5
Suppose 0 = 5*o + 2*g - 34, -8*g + 5*g - 49 = -5*o. Suppose -12*q**2 + 0*q**3 - 4*q**4 + 24*q**3 - o*q**2 = 0. What is q?
0, 1, 5
Factor 12*v**2 - 578*v**3 - 15*v + 3 + 3 + 1139*v**3 - 564*v**3.
-3*(v - 2)*(v - 1)**2
Factor -7/2 - 11/3*h - 1/6*h**2.
-(h + 1)*(h + 21)/6
Suppose 8*z - 263 - 25 = 0. Let v be z/(-60) + (-4)/(-5). Find n such that 0 - v*n**2 + 0*n - 1/5*n**3 = 0.
-1, 0
Factor 0*o - 224/3*o**4 + 0 - 220/3*o**2 + 2/3*o**5 + 442/3*o**3.
2*o**2*(o - 110)*(o - 1)**2/3
Let v(r) be the first derivative of -r**6/480 - r**5/120 + 5*r**4/96 + r**3/4 + 61*r**2/2 - 98. Let a(z) be the second derivative of v(z). Factor a(l).
-(l - 2)*(l + 1)*(l + 3)/4
Let z(u) be the third derivative of 5/3*u**4 + 200*u**2 - 1/4*u**6 + 0*u + 1/168*u**8 + 0*u**3 + 0 - 2/105*u**7 - 2/15*u**5. Find g, given that z(g) = 0.
-2, 0, 1, 5
Let w(i) = i**3 + 2*i**2 - 9*i - 2. Let f be w(-4). Let o be -2*f/(16/(-20)). Factor 1 + 5*d**2 - 1 + 0 - o*d.
5*d*(d - 1)
Let n(u) be the first derivative of 1/1260*u**6 - u**2 - 1/210*u**5 - 38*u + 0*u**3 + 38 + 0*u**4. Let d(j) be the second derivative of n(j). Factor d(p).
2*p**2*(p - 3)/21
Let z be (4 + 155/(-45))*((-52)/(-10) - 4). Factor 4/3 + 7/3*m + z*m**2 - 1/3*m**3.
-(m - 4)*(m + 1)**2/3
Suppose 9 = 37*f - 42*f + c, -3*f - 4*c + 36 = 0. Let j(w) be the first derivative of f*w - 3 + 0*w**2 + 4/15*w**3 - 1/30*w**4. Factor j(z).
-2*z**2*(z - 6)/15
Let g(i) be the first derivative of -i**6/39 + 62*i**5/65 - 303*i**4/26 + 1858*i**3/39 + 304*i**2/13 - 1920*i/13 + 1864. Determine m so that g(m) = 0.
-1, 1, 8, 15
Let c(f) be the first derivative of -5*f**8/336 + f**7/42 + 16*f**2 + 86. Let b(i) be the second derivative of c(i). Solve b(s) = 0.
0, 1
Let w(c) = 4*c**3 - 138*c**2 + 2870*c - 7352. Let y(a) = -33*a**3 + 1100*a**2 - 22960*a + 58817. Let z(h) = 34*w(h) + 4*y(h). Factor z(v).
4*(v - 35)**2*(v - 3)
Let v = -696/109 + 6180/763. Let 0 + 2*d**4 - 8/7*d**3 - 34/7*d**2 - v*d = 0. Calculate d.
-1, -3/7, 0, 2
Suppose 0 = 11*c - 22 - 22. Solve 270*w**2 - 135*w + 50*w**c - 14*w**5 - 11*w**5 - 180*w**3 + 20*w**5 = 0 for w.
0, 1, 3
Suppose -2*w - 5*f = 15, 0 = 4*w + 5*f - 14 + 19. Let x(d) be the first derivative of -2/15*d**w + 0*d + 0*d**2 - 4/9*d**3 - 1/2*d**4 + 15. Factor x(k).
-2*k**2*(k + 1)*(k + 2)/3
Let n(g) = -7*g - 320. Let h be n(-44). Let m be (-50)/h + (-12)/3. Find a such that 1/6*a**4 - 1/3*a - m*a**5 + 0 + 1/2*a**3 - 1/6*a**2 = 0.
-1, 0, 1, 2
Suppose 0 = 168709*k - 168765*k + 168. Find y, given that 2/3*y**k + 10/3*y + 4/3 + 8/3*y**2 = 0.
-2, -1
Let u = -1341/5 - -269. Let i be (-4)/(-18) + (-121)/((-11979)/176). Let 0*j + u*j**3 + 2/5*j**4 + 0 + 2/5*j**i = 0. Calculate j.
-1, 0
Suppose 0*z = 3*z + 2*w - 1893, -5*w = -4*z + 2501. Let q be (-6)/(-10) - z/(-185). Determine m so that 0*m + 10/7*m**5 + 0 - 24/7*m**q + 8/7*m**3 + 0*m**2 = 0.
0, 2/5, 2
Let b(h) be the second derivative of 3*h**5/20 + 7*h**4/2 - 208*h**3 + 2880*h**2 + 944*h. What is c in b(c) = 0?
-30, 8
Suppose -3*h - 642 = -3*a, h = 4*h - a + 634. Let u = h + 212. Factor 0 + 6/11*c - 2/11*c**u.
-2*c*(c - 3)/11
Let r(w) be the second derivative of w**7/14 - 12*w**6/5 + 129*w**5/10 - 31*w**4 + 81*w**3/2 - 30*w**2 - 4122*w. Factor r(y).
3*(y - 20)*(y - 1)**4
Let h(t) be the first derivative of -t**3/3 - 203*t**2/2 + 1606. Determine i, given that h(i) = 0.
-203, 0
Let j(l) = l**3 + 4*l**2 - 6*l - 17. Let r be j(-4). Suppose -6*m + r*m = 0, -5*m + 12 = 3*t. Factor 0*d**3 + t*d**2 + 5*d - 2*d**3 - 2 - d**3.
-(d - 2)*(d + 1)*(3*d - 1)
Let b(g) = -1497*g + 65871. Let l be b(44). Find i, given that 0*i - 22/5*i**4 - 2/5*i**5 - 10*i**2 - 14*i**l + 0 = 0.
-5, -1, 0
Let x be (1568/96)/(2/4). Let m(n) be the first derivative of -24*n**2 - 5 - 38/5*n**5 - n**6 - 8*n - x*n**3 - 45/2*n**4. Find l such that m(l) = 0.
-2, -1, -1/3
Suppose -2*m + m - 5*f + 14 = 0, 10 = 5*f. Suppose 60 = m*d + 11*d. Let 2*k + 3*k + 2*k + d*k**2 + 25 - 22 = 0. What is k?
-1, -3/4
Factor -126655193*i + 28823312*i - 3*i**3 - 29673*i**2 - 54416158736 - 53101078483.
-3*(i + 3297)**3
Suppose -2 = -2*a - 3*k, -9 - 13 = -3*a + 5*k. Suppose d = a*d - 60. Find i such that -16*i - 4*i**2 - 12*i**3 + 12*i**4 - 14*i**4 - d*i**2 = 0.
-2, 0
Let d(v) be the first derivative of -v**4/18 + 230*v**3/3 - 39675*v**2 + 9125250*v - 1375. What is i in d(i) = 0?
345
Let s be 4/(-18) + 4 + (-125)/45. Let g be 1 - (2/s + -5). Suppose -4*x + 4*x**3 + 4 - 4 + 4*x**g - 78*x**2 + 74*x**2 = 0. Calculate x.
-1, 0, 1
Suppose -548*y**2 + 3*y**3 - 11*y + 563*y**2 + 180 - 121*y = 0. Calculate y.
-10, 2, 3
Determine c so that 311*c**3 - 943*c**3 + 323*c**3 + 6*c + 313*c**3 - 35*c**2 + 18*c = 0.
0, 3/4, 8
Let c = -189 + 193. Factor -3*n - 83 + c*n + 91 - n**3 - 8*n**2.
-(n - 1)*(n + 1)*(n + 8)
Let i(l) = 50*l**3 + 5517*l**2 + 189336*l - 38108. Let z(q) = 24*q**3 + 2758*q**2 + 94668*q - 19052. Let m(v) = 2*i(v) - 5*z(v). Solve m(g) = 0 for g.
-69, 1/5
Let t = 516 - 514. Factor 7*v**3 + 4*v**2 - 33*v**3 + 23*v**3 + 12*v**2 + t*v**3.
-v**2*(v - 16)
Let k(h) = -2*h**3 + h**2 + h + 1. Let u(q) = -3*q**3 + 5*q**2 + 86*q - 87. Let n(c) = -4*k(c) + 4*u(c). Factor n(r).
-4*(r - 11)*(r - 1)*(r + 8)
Find h such that -6*h**2 - 104 - 4*h - 19*h + 2*h**4 + 8*h**3 + 120 + 3*h = 0.
-4, -2, 1
Let j(b) be the second derivative of -b**4/66 + 1666*b**3/33 - 693889*b**2/11 + 1329*b. Find h such that j(h) = 0.
833
Let u(w) be the first derivative of w**6/18 + 2*w**5/3 - 7*w**4/6 - 28*w**3/9 + 53*w**2/6 - 22*w/3 + 1603. Determine d, given that u(d) = 0.
-11, -2, 1
Let a be 5*(13 - 8 - 16/10). Let u(b) be the first derivative of 5/12*b**3 - 5/8*b**2 - a + 0*b. Find q, given that u(q) = 0.
0, 1
Suppose 93*w = -21*w + 228. Let f(j) be the third derivative of -1/3*j**5 + 0 + 4/3*j**3 + 0*j + 1/2*j**4 - 13*j**w. Solve f(v) = 0.
-2/5, 1
Let h(f) be the first derivative of 9*f - 1/6*f**4 + 2/3*f**3 - 4 - f**2. Let g(q) be the first derivative of h(q). Let g(d) = 0. What is d?
1
Let l(w) be the first derivative of -12*w**5/5 - 1207*w