ne d, given that -7/5*d**2 + d**3 + 3/5*d + 0 - 1/5*d**v = 0.
0, 1, 3
Let l = -312 - -326. Suppose -2*k = -l*j + 10*j - 4, k = 5*j + 2. Factor 0*s + j - 3/5*s**2.
-3*s**2/5
Factor -548/9*t**3 + 0 - 184/3*t**2 + 0*t + 4/9*t**4.
4*t**2*(t - 138)*(t + 1)/9
Suppose -5*k = -2*t - 19, -41 = -t - 43. Let w(j) be the second derivative of -14*j - 1/4*j**4 - 7/10*j**k + 0 - 3/100*j**5 - 9/10*j**2. Factor w(b).
-3*(b + 1)**2*(b + 3)/5
Let i = -136567/2 - -68284. Factor -7/2*t**2 + 0 + 0*t + i*t**4 + 3*t**3.
t**2*(t - 1)*(t + 7)/2
Let t be 19573/(-111) - 4/(-3). Let f be 3 - (30/(-4))/(t/50). Factor 0 + f*s**3 + 8/7*s**2 - 4/7*s**4 - 8/7*s - 2/7*s**5.
-2*s*(s - 1)**2*(s + 2)**2/7
Let k(n) be the second derivative of -n**5/170 + n**4/6 + 38*n**3/51 - 5*n + 1. Factor k(s).
-2*s*(s - 19)*(s + 2)/17
Let o be (0 - 40/32) + 195/(-20). Let z(k) = k**3 + 12*k**2 + 10*k - 11. Let l be z(o). Find j, given that -2*j**3 + 1/3*j**4 + l*j - 7/3*j**2 + 0 = 0.
-1, 0, 7
Let v(l) be the first derivative of 5/16*l**2 - 3/16*l**6 - 51 - 2/5*l**5 + 3/4*l**3 - 1/4*l + 1/8*l**4. Solve v(x) = 0.
-1, 2/9, 1
Let b be 3174/1380 - ((-21)/10 - -2). Factor 3 - 3/5*y**2 - b*y.
-3*(y - 1)*(y + 5)/5
Let w be -5 + 0 + 11 + -6. Suppose w - 3840*b**2 + 3948*b**2 + 8 - 116*b = 0. Calculate b.
2/27, 1
Let c be -14*((-12)/8 - -3)*-1. Let o = 34 - c. Let b**5 + o*b**4 + 2 + 10*b - 3*b**4 + 20*b**2 + 0 + b**5 + 20*b**3 = 0. Calculate b.
-1
Let b(g) = g**2 - 28*g + 197. Let i be b(13). Let n(u) be the first derivative of 29 + 0*u**2 + 0*u - 9/4*u**4 + i*u**3 + 3/5*u**5. Suppose n(v) = 0. What is v?
0, 1, 2
Let i = 1439/3096 + -7/344. Let d be 8/14*49/14. Factor i - 2/9*m - 2/9*m**d.
-2*(m - 1)*(m + 2)/9
Let m be (4/(-9))/(41*(-114)/659034). Find z, given that 2*z**2 - m*z + 62/3 = 0.
1/3, 31
Let t(c) = -36706*c - 293646. Let m be t(-8). Let -1/3*f**5 + 0 + 37/3*f**3 + 0*f - 17/3*f**4 - 19/3*f**m = 0. What is f?
-19, 0, 1
Let y(u) be the first derivative of -u**5/5 + 47*u**4/4 - 280*u**3/3 - 3528*u**2 - 3898. Let y(d) = 0. Calculate d.
-9, 0, 28
Let z(y) be the first derivative of -2*y**2 - 14 + 1/3*y**3 + 4*y. Factor z(d).
(d - 2)**2
Solve -52/9*j**2 + 2/9*j**3 + 784/9 + 280/9*j = 0 for j.
-2, 14
Let m(o) = o**3 - 107*o**2 + 19*o - 2031. Let c be m(107). Let g(l) be the second derivative of 0*l**c + 0 + 0*l**3 + 25/12*l**4 - 1/4*l**5 + 35*l. Factor g(v).
-5*v**2*(v - 5)
Let u be 160/(-6)*((-2091)/170 + 12)/(2/45). Factor -39/2*s**2 + u*s + 1/2*s**3 + 200.
(s - 20)**2*(s + 1)/2
Let y(c) be the first derivative of -2*c**3/9 - 1163*c**2/3 + 4660*c/3 + 4565. Factor y(v).
-2*(v - 2)*(v + 1165)/3
Let i(a) be the third derivative of 4*a**2 - 2/105*a**7 + 1/40*a**6 + 0*a**5 + 1/336*a**8 + 0*a**4 + 2*a + 0*a**3 + 0. Factor i(p).
p**3*(p - 3)*(p - 1)
Let o(k) = -4*k**3 + 36*k**2 - 486*k - 1505. Let m(r) = 3*r**3 - 25*r**2 + 324*r + 1003. Let j(f) = 7*m(f) + 5*o(f). Determine s so that j(s) = 0.
-14, -3, 12
Let y(x) be the second derivative of -5*x - 1/70*x**5 + 3/7*x**3 + 5/7*x**2 + 2 + 1/14*x**4. Let y(j) = 0. Calculate j.
-1, 5
Let w be (-2038)/6 - (31/3 - 10). Let a = 340 + w. Factor -11/6*h**3 + 0 + a*h + 1/3*h**2 - h**4.
-h**2*(h + 2)*(6*h - 1)/6
Let l be -3*1 - ((13 - 4) + -15). Factor 72*k - 50*k**l + 153*k**3 - 234*k - 243 - 67*k**3 - 12*k**4 + 81*k**2.
-3*(k - 3)**2*(2*k + 3)**2
Let h be (-30)/14 + 6 + (-2)/(-14). Solve -6*q**h - 16 + 54*q**3 - 86*q**2 + 4*q**3 + 60*q + 0*q**5 - 12*q**4 + 2*q**5 = 0 for q.
1, 2, 4
Suppose -33*r + 48*r + 32*r = -7*r. Let t(m) be the second derivative of 0 + 7*m + r*m**2 + 2/15*m**3 + 1/60*m**4. Let t(g) = 0. Calculate g.
-4, 0
Let n = 396 - 388. Let b(r) = 290*r**2 + 585*r + 15. Let t(u) = -435*u**2 - 877*u - 22. Let d(s) = n*b(s) + 5*t(s). Let d(v) = 0. Calculate v.
-2, -1/29
Find b such that -20 + 154/3*b - 94/3*b**2 = 0.
30/47, 1
Let z = -6310109319/1434860 + 1218376/277. Let l = -2/1295 + z. Suppose 0 - 1/2*o - 1/4*o**3 - l*o**2 = 0. What is o?
-2, -1, 0
Let t(a) be the second derivative of a**5/60 + a**4/3 - 10*a**3/3 + 7*a**2/2 - 110*a - 2. Let q(c) be the first derivative of t(c). Factor q(x).
(x - 2)*(x + 10)
Let w(z) be the third derivative of -3*z**5/20 + 145*z**4/8 + 49*z**3 - 16*z**2 + 1. Suppose w(v) = 0. What is v?
-2/3, 49
Let b(c) be the first derivative of 33*c**2 - 69 + 1089*c + 1/3*c**3. Factor b(i).
(i + 33)**2
Suppose 5*b - 3*j - 16 = 0, 3*j = -180 + 174. What is u in -3/2 - u - 1/8*u**b = 0?
-6, -2
Let 409*c**4 - 7593*c**2 + 584*c**2 + 8406*c - 2281*c + 6585*c**3 - 6116*c**2 + 6*c**5 = 0. What is c?
-35, 0, 5/6, 1
Let w(y) be the third derivative of -1/300*y**6 + 0*y + 0*y**4 + 0*y**3 - 41*y**2 + 0*y**5 + 0. Determine g, given that w(g) = 0.
0
Let l(k) be the third derivative of 2*k**7/105 + 2*k**6/15 - 7*k**5/15 - 5*k**4/3 + 11*k**2 + 7. Factor l(q).
4*q*(q - 2)*(q + 1)*(q + 5)
Suppose -2*d + 5*l = -7*d, 3*d - 12 = l. Factor 88*q**2 - q**d + 26*q**3 + 225*q + 5*q**4 + 21*q**3 + 97*q**2 + 9*q**3 + 90.
5*(q + 1)**2*(q + 3)*(q + 6)
Let o = 924/1843 + -5/3686. Determine s so that 0 - 1/3*s + 3/2*s**3 + 1/6*s**4 + 1/2*s**2 - o*s**5 = 0.
-1, 0, 1/3, 2
Let r(w) = -13*w**4 - 201*w**3 + 64*w**2 + 9. Let p(i) = i**4 + 2*i**3 - 2*i**2 - 1. Let t(v) = -9*p(v) - r(v). Suppose t(c) = 0. What is c?
-46, 0, 1/4
Let u be 8 + (210/(-7))/6. Let r = -621 - -626. Solve -1/9*d**r + 2/9*d**4 + 1/9*d - 2/9*d**2 + 0 + 0*d**u = 0 for d.
-1, 0, 1
Let w(a) be the third derivative of -15/8*a**4 + 1/42*a**7 + 11/4*a**5 + 0*a + 4 - 45*a**3 - 11/24*a**6 + 14*a**2. Factor w(d).
5*(d - 6)*(d - 3)**2*(d + 1)
Suppose 116*z - 52*z**3 - 84*z**2 + 44/5*z**4 + 56/5 = 0. Calculate z.
-2, -1/11, 1, 7
Factor 1916/7*w - w**2 + 548/7.
-(w - 274)*(7*w + 2)/7
Let u be -27 + 27 + (1 - -8). Determine c so that -849*c**2 + c + 3*c**3 - 16*c + 852*c**2 + u = 0.
-3, 1
Let c = 31692 + -31689. Factor 0 + 0*j - 4*j**2 + 3*j**5 - 34*j**4 - 71/3*j**c.
j**2*(j - 12)*(3*j + 1)**2/3
Let o(z) be the first derivative of -20/3*z**3 + 0*z - 23 - 8*z**2 - z**4. Determine r so that o(r) = 0.
-4, -1, 0
Let h(s) be the second derivative of s**4/6 + 16*s**3/3 + 48*s**2 - 5348*s. Factor h(j).
2*(j + 4)*(j + 12)
Let n(z) be the third derivative of -12*z**3 - 24*z - 1/30*z**5 + 2*z**2 + 0 - z**4. Suppose n(h) = 0. What is h?
-6
Let u(m) be the first derivative of 5*m**4/16 + 17*m**3/12 + 3*m**2/8 - 9*m/4 - 41. Factor u(x).
(x + 1)*(x + 3)*(5*x - 3)/4
Let x(g) be the second derivative of 1/20*g**6 - 116*g - 9/4*g**2 - 3/40*g**5 + 0 - 17/8*g**3 - 11/12*g**4 + 1/168*g**7. Factor x(d).
(d - 3)*(d + 1)**3*(d + 6)/4
Suppose -149*d = -18*d - 336 + 75 - 1. Find b, given that 2/5 - 4/15*b + 2/15*b**4 + 4/15*b**3 - 8/15*b**d = 0.
-3, -1, 1
Let z(x) be the first derivative of 175*x**6/2 + 3264*x**5 + 1029*x**4/4 - 3842*x**3 - 2802*x**2 - 744*x + 6895. Let z(t) = 0. What is t?
-31, -2/5, -2/7, 1
Let t = -226 + 229. Solve m**2 + 296*m**t - 11*m + 6 + 3*m**2 - 295*m**3 = 0.
-6, 1
Let g(p) = 25*p**3 - 1565*p**2 + 1550*p - 50. Let z(f) = 8*f**3 - 522*f**2 + 517*f - 15. Let q(v) = 3*g(v) - 10*z(v). Factor q(l).
-5*l*(l - 104)*(l - 1)
Factor 243068*q - 2*q**2 + 243261*q - 486069*q - 1008.
-2*(q - 126)*(q - 4)
Let x(d) be the first derivative of 3*d**4 + 7*d**3 - 21*d**2 + 9*d + 1297. Determine j, given that x(j) = 0.
-3, 1/4, 1
Suppose 2*z = z - 4*h, 0 = 3*z - h - 13. Let m be (6/z)/(80/192). Suppose 3 + m*k + 3/5*k**2 = 0. Calculate k.
-5, -1
Let a(l) be the second derivative of -l**5/80 + 7*l**4/16 + 51*l**3/8 + 243*l**2/8 + 2*l - 683. Let a(k) = 0. What is k?
-3, 27
Suppose 0 = 9*g - 60 - 192. Let f = g - 25. Determine l, given that l + 3 - 6*l**f - 2*l + 0*l + 7*l - 3*l**4 = 0.
-1, 1
Let w(y) = -227*y - 14 + 473*y - 252*y + 4*y**2. Let g be w(3). Factor -2/11*c**5 + 14/11*c**2 - 4/11*c - 18/11*c**3 + 0 + 10/11*c**g.
-2*c*(c - 2)*(c - 1)**3/11
Let q(d) be the first derivative of -d**4/2 + 32*d**3/3 - 45*d**2 - 324*d + 1555. Let q(b) = 0. Calculate b.
-2, 9
Factor -34*c**2 + 18*c + 19/2*c**3 + 3/2*c**4 + 0.
c*(c - 2)*(c + 9)*(3*c - 2)/2
Suppose -2 = 5*a + 4*n, -4*n - 8 = a + 2. Let -72*d - d**3 + 54*d + 15*d**2 - a*d**3 = 0. Calculate d.
0, 2, 3
Let n(c) be the third derivative of -13/9*c**4 - 676/9*c**3 - 1/90*c**5 + 0*c + 0 + 54*c**2. Factor n(t).
-2*(t + 26)**2/3
Let w = -298 - -301. Factor 126*t**4 - 102*t**4 - 12*t**w 