. Find d, given that z(d) = 0.
-310
Let d(j) be the first derivative of -j**4/24 + j**3 - 20*j - 73. Let a(o) be the first derivative of d(o). What is i in a(i) = 0?
0, 12
Let a(j) = -j**2 + 3 + 18*j - j**2 + 8*j**2. Let r(g) = -181*g**2 + 178*g**2 - 9*g**2 - 35*g - 7. Let v(n) = 5*a(n) + 3*r(n). Suppose v(f) = 0. Calculate f.
-2, -1/2
Suppose 0 = 2*r - f - 4, 2*f - 1523 = r - 1531. Solve 15*c**3 + r + 21/4*c**4 + 0*c - 27/4*c**5 + 3*c**2 = 0.
-1, -2/9, 0, 2
Determine j, given that 1610846*j**2 - 4108*j**3 + 3381920*j - j**4 + 1692800 + 130127*j**2 + 432*j**3 + 3*j**4 - 55531*j**2 = 0.
-1, 920
Let i be (87/203)/((-2)/(-14)). Let q be -1 + (i + 1 - 7/(-7)). Factor 80/3*r**2 + 32/3*r + 22*r**3 + 2/3*r**5 + 20/3*r**q + 0.
2*r*(r + 1)**2*(r + 4)**2/3
Let c(t) = -12*t**2 - 200*t - 228. Let u(w) = -16*w**2 - 266*w - 305. Let z(m) = -11*c(m) + 8*u(m). Determine n so that z(n) = 0.
-17, -1
Let u = -306 + 558. Let a = 257 - u. Determine c, given that 12/7*c**4 + 8/7 - 50/7*c**2 + c**a - 12/7*c - 25/7*c**3 = 0.
-2, -1, 2/7, 2
Let c be ((-5577)/910 + 6)/(2/(-68)). Let j = 39/7 - c. Solve -3/5*i**5 + j*i**4 - 24/5*i**2 + 0 + 12/5*i**3 + 0*i = 0 for i.
-2, 0, 2
Let l = -114802 - -803624/7. Factor -9/7*x + l*x**3 - 1/7*x**5 - 2/7*x**2 + 5/7 - 3/7*x**4.
-(x - 1)**3*(x + 1)*(x + 5)/7
Let k(o) be the third derivative of o**8/720 - o**7/3780 - 79*o**4/24 - 22*o**2 + 3*o. Let r(x) be the second derivative of k(x). What is m in r(m) = 0?
0, 1/14
Suppose 59*j - 62*j + 57 = 0. Suppose l - 5 = -a, -a = -6*a - 3*l + j. Factor 0 + 3*t**a - 2/3*t - 7/3*t**3.
-t*(t - 1)*(7*t - 2)/3
Let i be (6/(-60))/((-176)/1056). Suppose -1/5*r**4 + r**2 - i*r - 1/5*r**3 + 0 = 0. What is r?
-3, 0, 1
Let i(x) be the first derivative of -x**3 - 3*x**2/2 - 6795. Factor i(z).
-3*z*(z + 1)
Let -1402/7*s**2 + 324/7 + 72/7*s**3 - 1150/7*s = 0. What is s?
-1, 2/9, 81/4
Factor 65 - 1/4*q**2 - 4*q.
-(q - 10)*(q + 26)/4
Let z(g) be the first derivative of -4/9*g**3 + 0*g - 1/6*g**4 + 2/15*g**5 + 0*g**2 - 36. Determine k so that z(k) = 0.
-1, 0, 2
Let i(u) be the first derivative of u**6/3 - 17*u**5/4 + 15*u**4/2 + 475*u**3/6 - 125*u**2 + 120*u - 70. Let p(q) be the first derivative of i(q). Factor p(r).
5*(r - 5)**2*(r + 2)*(2*r - 1)
Let r = 1400165 + -91012789/65. Let z = r + 418/13. Determine w, given that -24/5*w - 72/5 - z*w**2 = 0.
-6
Let x = -555 - -596. Let -12*v**3 + 76*v - 19 + 34*v**2 - 14*v**2 - 12*v**2 - x - 12*v**2 = 0. Calculate v.
-3, 1, 5/3
Let h = 2/16285 - -16267/146565. Factor 1/9*i + 2/9*i**2 - 2/9 - h*i**3.
-(i - 2)*(i - 1)*(i + 1)/9
Let b(d) be the second derivative of -5*d**4/48 - 185*d**3/12 + 95*d**2 - 194*d + 3. Factor b(m).
-5*(m - 2)*(m + 76)/4
Factor 379*r - 89*r**3 + 978*r - 452 - 2524*r**2 + 1165*r**2 - r**4 + 544*r**3 + 0*r**4.
-(r - 452)*(r - 1)**3
Let k(r) be the second derivative of r**3 + 1/24*r**4 + 9*r**2 + 4*r + 32. Solve k(s) = 0 for s.
-6
Let y(v) = v**3 - 3*v**2 - 3*v + 8. Let j be y(2). Let f be (j - (-142)/77)*49/(-14). Determine r, given that f*r - 4/11 - 2/11*r**2 = 0.
1, 2
Let k(i) = -i**2 + 6*i - 6. Let t be k(4). Let b be (-1)/t - 30/(-12). Factor 3*n**3 + n**b - n**2 - 20*n + n**3 + 4*n**2 + 12.
4*(n - 1)**2*(n + 3)
Let d(o) be the second derivative of -o**7/5880 - o**6/840 - o**5/420 - 2*o**3/3 + 5*o**2/2 - 32*o - 1. Let b(l) be the second derivative of d(l). Factor b(s).
-s*(s + 1)*(s + 2)/7
Find w such that 530 + 144 - 25*w**3 + 3010*w**2 - 4175*w + 281 + 235 = 0.
2/5, 1, 119
Let u(d) be the first derivative of -1/30*d**6 - 2/25*d**5 + 3/20*d**4 + 4/15*d**3 - 1 - 2/5*d**2 + 0*d. Factor u(f).
-f*(f - 1)**2*(f + 2)**2/5
Let r = 105978 - 317932/3. Find t such that -7/3 - r*t**2 + 19/6*t - 1/6*t**3 = 0.
-7, 1, 2
Suppose 181 - 38 = 5*w - 4*y, 0 = -5*w + 3*y + 136. Let z(q) be the first derivative of 0*q + 0*q**2 - 1/2*q**3 + 3/16*q**4 + w. Factor z(o).
3*o**2*(o - 2)/4
Let n(f) be the second derivative of -2*f**6/105 + 339*f**5/35 + 341*f**4/7 + 2050*f**3/21 + 684*f**2/7 - 239*f + 6. Factor n(q).
-4*(q - 342)*(q + 1)**3/7
Let h = 835/108 - 13/27. Let g = -13/2 + h. Suppose 1/2*u**2 + 1/4 + g*u = 0. Calculate u.
-1, -1/2
Let l(i) be the second derivative of i**5/5 - 58*i**4/3 - 1310*i**3/3 - 3400*i**2 - 582*i. Factor l(x).
4*(x - 68)*(x + 5)**2
Let i be (-1 - 8/(-6))*2. Let y = -2695363 - -2695363. Factor y + 0*a - i*a**2.
-2*a**2/3
Suppose -2198*h - 9580 = -2203*h. Suppose 3*q - h = -1892. Let -7/2*w**2 - q*w - 1/2*w**3 - 6 = 0. What is w?
-3, -2
Suppose -7*w + 1 + 20 = 0. Suppose 0 = -5*y - 3*q + 24, 12 = -y + w*y + 2*q. What is c in -y*c + 33/2*c**3 - 27/2*c**5 + 3*c**2 - 9/4*c**4 - 3/4 = 0?
-1, -1/3, 1/2, 1
Let p = -67 - 1. Let s = p - -71. Let -6*n + 6*n**2 - 29 - s*n**3 + 9*n**2 + 5 = 0. Calculate n.
-1, 2, 4
Let g be -4*2/3 - (218 + -222). Determine u so that -g + 64/3*u**4 + 208/3*u**3 + 47/3*u - 60*u**2 = 0.
-4, 1/4
Let h(t) be the second derivative of 5*t**4/12 + 1085*t**3/3 + 235445*t**2/2 + 490*t - 2. Suppose h(v) = 0. What is v?
-217
Determine q so that -170/9 - 8/9*q**2 - 682/9*q = 0.
-85, -1/4
Suppose -2*v - 7 = -5*c - 2, 4*c + v = 17. Factor 25*h**c - 5*h**4 + 162 - 30*h**2 - 162.
-5*h**2*(h - 3)*(h - 2)
Factor -7244/5*l + 2414/5 + 6/5*l**2.
2*(l - 1207)*(3*l - 1)/5
Let r(i) = -315*i + 1350. Let o(j) = j**2 + 2. Let x(u) = -5*o(u) + r(u). Factor x(l).
-5*(l - 4)*(l + 67)
Let n(i) be the first derivative of -i**6/51 - 4*i**5/85 + 27*i**4/34 - 104*i**3/51 + 28*i**2/17 - 457. Find k such that n(k) = 0.
-7, 0, 1, 2
Let b(j) be the first derivative of -1/35*j**5 - 2/7*j**2 - 1/14*j**4 + 1/3*j**3 + 25 + 0*j. Determine t so that b(t) = 0.
-4, 0, 1
Find a such that -163/6*a**2 - 37/6*a**4 + 41/2*a**3 - 8/3 + 1/2*a**5 + 15*a = 0.
1/3, 1, 2, 8
Let r = -1 + 32. Suppose r = -z + 36. Factor -14*g - 3 + 2*g**2 + 10 + z.
2*(g - 6)*(g - 1)
Suppose 5708/5*w**3 - 51712/5*w**2 - 188/5*w**4 - 12740 + 2/5*w**5 - 24262*w = 0. What is w?
-1, 26, 35
Let t(b) be the first derivative of -b**3 - 171*b**2/2 + 174*b - 475. Factor t(n).
-3*(n - 1)*(n + 58)
Let w be (-16932)/42840 + -2*(-9)/42. Let i(s) be the second derivative of -1/9*s**3 - 5/36*s**4 + 0 + w*s**5 + 8*s + 0*s**2 + 1/18*s**6. Factor i(l).
l*(l - 1)*(l + 1)*(5*l + 2)/3
Let f(n) = 33*n + 432. Let s be f(-13). Suppose -102*l - 9 = -106*l - x, -s = 4*l + 5*x. Factor -57/2*i**l - 39/4*i - 3/2 - 15/4*i**5 - 24*i**2 - 33/2*i**4.
-3*(i + 1)**4*(5*i + 2)/4
Let o(k) be the second derivative of -1/60*k**5 - k - 8/3*k**2 - 1/3*k**3 + 116 + 1/4*k**4. Determine c, given that o(c) = 0.
-1, 2, 8
Determine w, given that 5287*w + 5168*w + 5*w**3 + 42025 - 8641*w**2 + 4639*w**2 + 4437*w**2 = 0.
-41, -5
Let o(j) = j**2 - 5. Let k be o(4). Let z = 14 - k. Find p such that -2*p + 21*p**4 - 78*p**z - 24*p**2 - 6*p + 8*p = 0.
-2/7, 0, 4
Let y(h) = 2*h - 4. Let f be y(5). Suppose 10*a = -10*a + 60. Determine l, given that 14*l**2 - f*l**a + 3*l**2 - 9*l**3 - 2*l = 0.
0, 2/15, 1
Factor 2*b**3 + 1/7*b**4 + 24/7*b**2 + 0*b + 0.
b**2*(b + 2)*(b + 12)/7
Let u(x) be the second derivative of -5*x**4/6 - 1273*x**3 + 764*x**2 - 5*x + 1473. Factor u(a).
-2*(a + 764)*(5*a - 1)
Let w(u) = u**2 - 155*u + 5769. Let r be w(93). Factor 12/25*a**r + 2/25*a + 2/25*a**5 + 0 - 8/25*a**4 - 8/25*a**2.
2*a*(a - 1)**4/25
Suppose 5*z + 526 = 4*j - j, 3*j + 2*z - 512 = 0. Factor -4*a**2 + 162*a + 168*a + j*a - 26896 + 154*a.
-4*(a - 82)**2
Let p be -1 - (-16 + (-202)/(-5) + -15 - 11). Factor 42/5*m + 0 + p*m**2.
3*m*(m + 14)/5
Let x(t) be the first derivative of -200/3*t - 340/3*t**2 + 128 - 698/9*t**3 - 17*t**4 - 6/5*t**5. Factor x(i).
-2*(i + 5)**2*(3*i + 2)**2/3
Suppose -5*n = 4*w + 20, 0*w - 2*w = -n - 4. Let v be (-189)/(-66) - 39/(-286). Factor -2/17*c**5 - 2/17*c**2 - 6/17*c**v + 0*c + w - 6/17*c**4.
-2*c**2*(c + 1)**3/17
Let x = -210016/35 + 30018/5. Factor 0 + 2/7*l**3 + 20/7*l**2 - x*l.
2*l*(l - 1)*(l + 11)/7
Suppose 41*h = 36*h + 15. Suppose -h*v - 6*v + 2*v**3 + 25*v - 10*v + 18 - 10*v**2 = 0. Calculate v.
-1, 3
Let g(u) be the third derivative of -u**5/12 + 455*u**4/2 - 248430*u**3 - 599*u**2. Let g(d) = 0. Calculate d.
546
Let g(m) = 6*m**2 + 6*m**2 + 46*m**4 - 5*m**2 - 31*m**3 + 3. Let j = -2553 - -2551. Let b(s) = -s**4 - s**3 + s**2 + 1. Let h(a) = j*g(a) + 6*b(a). Factor h(y).
-2*y**2*(7*y - 2)**2
Let v be (-23 - -24) + (-1 