o + 7)
Let d(b) be the third derivative of -b**8/35280 + 16*b**7/2205 - 256*b**6/315 + 121*b**5/60 + 23*b**2. Let y(g) be the third derivative of d(g). Factor y(j).
-4*(j - 32)**2/7
Suppose -83*m + 234*m - 16 - 437 = 0. Let v(i) be the second derivative of 1/6*i**6 + 0*i**2 - 1/4*i**5 + 0 - 5/12*i**4 - 7*i + 5/6*i**m. Factor v(s).
5*s*(s - 1)**2*(s + 1)
Let t = 410 - 308. Factor -t*j - 3*j**2 - 5 + 93*j + 2 + 6*j**4 + 9*j**3.
3*(j - 1)*(j + 1)**2*(2*j + 1)
Factor 9*z**2 - 105/4*z + 18 - 3/4*z**3.
-3*(z - 8)*(z - 3)*(z - 1)/4
Let r = 223 - -26. Determine w so that -r*w**2 + 25*w - 8 + 247*w**2 + 1 - 5 = 0.
1/2, 12
Let r = -67 + 72. Let j be 24/(-4) + r - -393. Let 3*k**2 - 79*k + k**2 + 23*k - 6*k**2 - j = 0. Calculate k.
-14
Factor -2*o**2 + 192 + 92*o**2 + 36*o**2 - 36*o**3 + 51*o**2 + 93*o**2 - 424*o - 2*o**4.
-2*(o - 4)*(o - 1)**2*(o + 24)
Let p(w) be the third derivative of -1/840*w**7 + 0*w**4 + 0 + 1/24*w**5 + 0*w + 0*w**6 - 3/8*w**3 - 46*w**2. Let p(i) = 0. Calculate i.
-3, -1, 1, 3
Let l(f) = f**4 - f**3 - f**2 + 2*f. Let o(n) = 2*n**4 - 42*n**3 - 50*n**2 + 40*n + 48. Let q(t) = -2*l(t) - o(t). Factor q(r).
-4*(r - 12)*(r - 1)*(r + 1)**2
Solve 5/4*r**2 - 11/2*r + 1/4*r**3 - 14 = 0.
-7, -2, 4
Suppose -132*y + 41*y = 40*y. Let -16/9*z + 2*z**2 - 2/9*z**3 + y = 0. Calculate z.
0, 1, 8
Let w = 4 - -8. Suppose w + 8 = 5*j. Find q, given that 4*q**2 - 5*q**3 + 7*q**4 + 6*q**2 - 6*q**j - 16*q**4 = 0.
-1, 0, 2/3
Let i(w) be the third derivative of 0*w - 7/12*w**3 + 1/30*w**5 + 198*w**2 + 1/480*w**6 + 5/96*w**4 + 0. Find c such that i(c) = 0.
-7, -2, 1
Let w(t) be the third derivative of 0*t - 2/15*t**3 - 2/225*t**5 + 13/180*t**4 + 1/2520*t**8 + 45*t**2 + 2/1575*t**7 + 0 - 1/150*t**6. Let w(q) = 0. What is q?
-3, -2, 1
Let u(a) be the second derivative of 0*a**2 + 1/20*a**6 + 0 + 0*a**3 + 0*a**4 + 1/84*a**7 - 1/10*a**5 + 99*a. Factor u(c).
c**3*(c - 1)*(c + 4)/2
Solve 1344468*h**3 - 15561/4*h**4 + 62132604 + 15/4*h**5 - 93737628*h - 154521870*h**2 = 0.
-1, 2/5, 346
Let c(o) = -15*o**3 + 64*o**2 - 128*o. Let a = -82 + 96. Suppose -a = 5*r + 1. Let k(b) = -7*b**3 + 32*b**2 - 64*b. Let m(y) = r*c(y) + 7*k(y). Factor m(l).
-4*l*(l - 4)**2
Let o(v) = 50*v**2 - 2695*v - 910. Let a(m) = m**2 + 32*m. Let c(s) = -15*a(s) + o(s). Determine n so that c(n) = 0.
-2/7, 91
Let n(g) be the third derivative of -159*g**7/280 + 79*g**6/40 - 31*g**5/16 - g**4/16 - 657*g**2. Factor n(q).
-3*q*(q - 1)**2*(159*q + 2)/4
Let n(q) be the third derivative of 0*q + 1/3192*q**8 + 65*q**2 + 0 + 0*q**4 + 2/399*q**7 + 17/1140*q**6 + 0*q**3 + 4/285*q**5. What is x in n(x) = 0?
-8, -1, 0
Let g be (14/(-4) - -5)*(-24)/(-9). Factor -6*k**2 - 15*k - 1 - 2 + k**3 - 4 - g + 3.
(k - 8)*(k + 1)**2
Let b(q) be the first derivative of 56/3*q - 4/9*q**3 - 10/3*q**2 - 129. Find p such that b(p) = 0.
-7, 2
Let y be (-5 + 4)/((-2)/4) + 3. Let j = -2 + y. Factor 12*u**5 - 6*u**3 + 2*u**5 - 2*u**j - 12*u**5.
2*u**3*(u - 2)*(u + 2)
Factor 1271/5*f**2 + 403224/5*f - 404496/5 + 1/5*f**3.
(f - 1)*(f + 636)**2/5
Suppose 723*q**2 - 1437*q**2 + 717*q**2 + 451 + 393*q + 136 + 937 = 0. What is q?
-127, -4
Let g(b) be the third derivative of b**5/120 + b**4/24 - 2*b**3/3 - 2326*b**2. Factor g(k).
(k - 2)*(k + 4)/2
Let d(n) be the third derivative of -n**8/13440 + n**6/1440 - n**4/12 + 11*n**3/6 - 96*n**2. Let b(l) be the second derivative of d(l). Factor b(u).
-u*(u - 1)*(u + 1)/2
Let s(k) = -55*k**3 + 24*k**2 - 2*k - 23. Let i(b) = 12*b**2 + 2*b + 1. Let v(p) = 28*i(p) + 4*s(p). What is c in v(c) = 0?
-2/5, 4/11, 2
Suppose 3*p + 198 = 582. Let s be ((-2)/20)/((-32)/p). Factor s - 2/5*k**2 + 0*k.
-2*(k - 1)*(k + 1)/5
Let i(l) be the first derivative of 1/150*l**5 - 4/5*l**3 - 1/300*l**6 - 6 - 9*l**2 + 0*l + 2/15*l**4. Let s(o) be the second derivative of i(o). Factor s(m).
-2*(m - 2)**2*(m + 3)/5
Solve 248640*q + 177125*q**2 - 5*q**5 - 88368 - 162512 - 2235*q**4 + 35107*q**2 + 40883*q**2 - 248635*q**3 = 0 for q.
-224, -1, 1
Let l(v) be the second derivative of v**6/30 - 787*v**5/40 + 49*v**4/3 + 131*v**3/4 - 4831*v. Determine u so that l(u) = 0.
-1/2, 0, 1, 393
Let k be -26 - (29 - 4225/75). Solve 32/3*r - 32/3*r**2 + k*r**4 - 16/3*r**3 + 2/3*r**5 + 64/3 = 0.
-2, 2
Let p(o) = -27*o**3 - 4*o**2 - 15*o - 16. Let z be p(-4). Suppose -5*c**2 - 16 - 3*c**2 - z*c + 1744*c = 0. Calculate c.
1/2, 4
Solve -910803/4 - 3/4*s**2 + 1653/2*s = 0 for s.
551
Let m(h) = 4*h**3 - 2*h**2 - h. Let f(w) = -w**4 - 116*w**3 - 3970*w**2 - 7566*w - 3721. Let p(t) = -3*f(t) + 6*m(t). Factor p(l).
3*(l + 1)**2*(l + 61)**2
Let w(b) be the first derivative of 83 + 1/6*b**4 - 8/27*b**3 - 1/9*b**2 + 4/9*b. Solve w(s) = 0 for s.
-2/3, 1
Let g(j) be the third derivative of -32/27*j**4 - 1 + 17*j**2 + 0*j + 1/945*j**7 - 1/30*j**6 + 0*j**3 + 16/45*j**5. What is c in g(c) = 0?
0, 2, 8
Let n(b) be the third derivative of -43*b**2 + 0 + 1/240*b**6 + 1/120*b**5 + 0*b**3 - 1/24*b**4 + 0*b. Factor n(x).
x*(x - 1)*(x + 2)/2
Factor -86*i - 256 - 2/9*i**2.
-2*(i + 3)*(i + 384)/9
Let g(u) be the second derivative of -108*u**4 + 0*u**2 - 1/10*u**6 + 27/5*u**5 + 6*u + 2 + 864*u**3. Determine a, given that g(a) = 0.
0, 12
Factor 144/5*n + 276/5 + 3/5*n**2.
3*(n + 2)*(n + 46)/5
Let r(m) be the third derivative of m**6/660 - 4*m**5/165 + m**4/33 + 16*m**3/11 - 11670*m**2. Factor r(o).
2*(o - 6)*(o - 4)*(o + 2)/11
Suppose 5*q - 95 = -5*x, 3*x - 4*q + 2*q = 47. Suppose -v + 5*u = -x, 2*v = 2*u + u + 13. Factor -3*b**3 + 0*b + 2*b**2 + 2*b + 4*b**v - 5*b.
-3*b*(b - 1)**2
Let y = -2689/2 + 1459. Let i = y - 1601/14. Factor -i*p**3 - 125/7 - 15/7*p**2 - 75/7*p.
-(p + 5)**3/7
Let p be -3*(-10)/(-15) + (0 - -6). Let 24*i**p + 285*i**5 + i**4 + 360*i**3 + 80*i - 320*i**5 + 380*i**2 = 0. What is i?
-2, -1, -2/7, 0, 4
Suppose -164765 = -61*a - 164460. Let 0*u**2 + 0*u - u**3 + 0 + 1/5*u**a - 4/5*u**4 = 0. What is u?
-1, 0, 5
Let o = -2984076/5 + 594446. Let j = o + 2378. Factor 8/5 - 52/5*d + j*d**2.
4*(d - 1)*(11*d - 2)/5
Let j(s) be the second derivative of -s**5/10 + 8*s**4/3 + s**3/3 - 16*s**2 + 3*s + 322. Factor j(u).
-2*(u - 16)*(u - 1)*(u + 1)
Let o be (-5 - 1536/(-220)) + -1 + (-56)/70. Let m = -2 - -4. Suppose 4/11 - o*u**m - 2/11*u = 0. Calculate u.
-2, 1
Let f be 432/(-12744) - (-13164)/1947. Find q such that 2/11*q**2 - f*q + 0 = 0.
0, 37
Let h(b) = -b**4 + b**3 - b**2. Let o(u) = -2*u**5 + 12*u**4 - 2*u**3 + 2*u**2. Let g = -37 + 9. Let r = 26 + g. Let f(q) = r*o(q) - 4*h(q). Factor f(c).
4*c**4*(c - 5)
Let p be (-135)/210 - 3/(-21)*8. What is y in -p*y**3 + 4*y**2 - 5/2*y - 25 = 0?
-2, 5
Let a = -107 - -325/3. Let v = -243050/3 + 81018. Factor v*y**2 - a + 2*y.
2*(y + 2)*(2*y - 1)/3
Let h(x) = -106*x**2 - 15*x - 17. Let a be h(-1). Let y be 14/12 + 54/a. Suppose -y + 4/9*q + 2/9*q**2 = 0. What is q?
-3, 1
Let d(v) be the third derivative of v**7/1995 - v**6/570 - v**5/570 + v**4/114 - 779*v**2. Find l, given that d(l) = 0.
-1, 0, 1, 2
Let j be (9 + 189/(-14))*2/(-3). Factor 1524*h - 805*h + 112 - 835*h + 32*h**2 - h**j.
-(h - 28)*(h - 2)**2
Let r(i) = -6*i**4 - 261*i**3 - 3087*i**2 - 8637*i. Let w(j) = -3*j**4 - 130*j**3 - 1543*j**2 - 4320*j. Let b(l) = 4*r(l) - 9*w(l). Factor b(o).
3*o*(o + 4)*(o + 19)**2
Let q(w) be the first derivative of -26*w**5/5 + 77*w**4/6 + 2*w**3/3 - 135*w**2 - 184. Let g(v) be the second derivative of q(v). Suppose g(r) = 0. What is r?
-1/78, 1
Let n = -2561 - -56355/22. Let x = n + 19/33. Factor 1/3 - x*r**3 - 1/2*r - 2*r**2.
-(r + 1)**2*(7*r - 2)/6
Let o be 27/6*5880/833. Let w = o - 4384/153. Suppose 22/9*z - 4/9 - w*z**2 = 0. Calculate z.
2/7, 1/2
Let m(v) be the second derivative of 79*v**4/30 + 17*v**3/3 + 6*v**2/5 - 2640*v. Factor m(w).
2*(w + 1)*(79*w + 6)/5
Let b(v) be the first derivative of 2*v**5/95 + 117*v**4/19 + 27842*v**3/57 + 27144*v**2/19 + 26912*v/19 - 942. Factor b(q).
2*(q + 1)**2*(q + 116)**2/19
Let o(m) be the third derivative of m**5/100 + 73*m**4/8 + 182*m**3/5 + 5*m**2 + 2*m + 77. Factor o(u).
3*(u + 1)*(u + 364)/5
Let h be 66/34 + 43*(-89)/3827. Factor -2/17*n**3 + 0 - 18/17*n**2 - h*n.
-2*n*(n + 1)*(n + 8)/17
Let b(o) = -2*o**3 - 150*o**2 + 152*o + 17. Suppose 24*v - 15*v - 54 = 0. Let t(z) = -z**3 - 50*z**2 + 51*z + 6. Let r(y) = v*b(y) - 17*t(y). Factor r(q).
5*q*(q - 9)*(q - 1)
Let t 