*2 + 8/3*k**3 - h*k**5 + 0*k - 1/6*k**4. Factor d(p).
-2*(p - 2)*(p + 4)
Let j(h) be the third derivative of -h**7/5880 + h**6/120 - h**4/12 + 25*h**3/6 - 5*h**2. Let f(o) be the second derivative of j(o). Factor f(r).
-3*r*(r - 14)/7
Let p(j) be the second derivative of 49*j + 34/3*j**4 - 1/10*j**5 + 0*j**2 + 0 - 1156/3*j**3. Determine m, given that p(m) = 0.
0, 34
Let u(q) = -q**2 - q. Let t(i) = 12*i**2 + 18*i. Suppose -12*p = -8*p + 132. Let y = p + 32. Let z(k) = y*t(k) - 9*u(k). Determine b so that z(b) = 0.
-3, 0
Suppose -18444 = 11*d - 18477. Let t(p) be the third derivative of -10/3*p**4 + 4/3*p**5 + 5/2*p**d + 0 + 31*p**2 + 0*p. Suppose t(c) = 0. Calculate c.
1/4, 3/4
Let p(o) be the first derivative of -1/9*o**3 + 5/3*o - 1/36*o**4 + 13/18*o**2 - 186. Factor p(q).
-(q - 3)*(q + 1)*(q + 5)/9
Let d = -11362 - -477205/42. Let i(g) be the third derivative of 4/7*g**3 - 1/105*g**5 + 0 - d*g**4 - 12*g**2 + 0*g. Solve i(u) = 0 for u.
-3, 2
Let p = -921257 - -921257. Let p*k - 2/13*k**4 + 28/13*k**2 + 2*k**3 + 0 = 0. What is k?
-1, 0, 14
Factor 44347 + 2085*s**3 + 265127*s - 676007*s + 161735 + 203516*s**2 + 2*s**4 - 805*s**3.
2*(s - 1)**2*(s + 321)**2
Factor 115/6*j**2 - 75/2*j + 1/6*j**4 - 19/6*j**3 + 0.
j*(j - 9)*(j - 5)**2/6
Let t(a) = -5*a**4 + 78*a**3 + 2*a**2 - 87*a - 12. Let l(i) = -24*i**4 + 392*i**3 + 10*i**2 - 434*i - 56. Let q(j) = -6*l(j) + 28*t(j). Factor q(f).
4*f*(f - 42)*(f - 1)*(f + 1)
Let t(v) be the third derivative of v**5/72 - 415*v**4/48 + 1525*v**3/9 - 316*v**2 - 3*v. Solve t(d) = 0 for d.
5, 244
Let a(q) be the second derivative of -q**6/90 - 5*q**5/12 - 52*q**4/9 - 32*q**3 + 2*q + 304. Factor a(o).
-o*(o + 8)**2*(o + 9)/3
Let v(p) be the third derivative of -p**5/15 - 235*p**4/6 - 464*p**3 - 415*p**2 + p - 1. Factor v(f).
-4*(f + 3)*(f + 232)
Let m be 14/(672/48)*((-2)/11 + 126/88). Let n(f) = -f**3 + 4*f**2 - 2*f - 1. Let i be n(3). Find y such that 0 + m*y - 1/4*y**i = 0.
0, 5
Factor 7*j**2 - 4*j**2 - 2520 + 15780*j - 15656*j + j**2.
4*(j - 14)*(j + 45)
Let w = -4092 - -4095. Let n(p) be the third derivative of 1/180*p**5 - 16*p**2 + 0*p - 1/630*p**7 + 0 - 1/36*p**4 + 0*p**w + 1/180*p**6. Factor n(a).
-a*(a - 2)*(a - 1)*(a + 1)/3
Let s(f) = 9*f**2 - 18*f + 31. Let z be s(9). Find l, given that 537*l**2 + 6*l**4 - 446*l - z*l**3 - 300 + 715*l**3 + 86*l = 0.
-10, -1/2, 1
Let l(f) = -f**3 - 15*f**2 - 12*f + 30. Let p be l(-14). Let d(k) be the second derivative of 5/12*k**4 + 0 + 20*k**3 + 360*k**p + 14*k. Factor d(z).
5*(z + 12)**2
Suppose 162*j**2 + 52*j**2 + 30*j**3 - 5*j**5 - 405 + 371*j**2 + 135*j - 315*j**2 - 25*j**4 = 0. Calculate j.
-3, 1, 3
Factor 1060/7*w**2 + 9956*w - 10108 + 4/7*w**3.
4*(w - 1)*(w + 133)**2/7
Let i(c) be the third derivative of -c**8/252 - 3*c**7/14 - 473*c**6/180 - 601*c**5/60 - 86*c**4/9 + 50*c**3/3 + 7674*c**2. Let i(q) = 0. What is q?
-25, -6, -2, -1, 1/4
Suppose 3 = -2*y - 4*h - h, 0 = 4*h + 20. Suppose 5*b - y = 89. Factor 14 + 5*a**3 - b*a**2 + 17 + 14 + 5*a - 15.
5*(a - 3)*(a - 2)*(a + 1)
Let t(p) be the first derivative of -2*p**5/75 - 7*p**4/10 - 8*p**3/9 - 871. Factor t(c).
-2*c**2*(c + 1)*(c + 20)/15
Let d(v) = -v**2 + 15*v - 2. Let t be d(13). Let i = t - 22. Factor 26*u**2 - 10*u**i + 19*u**3 - 7*u**2 - 11*u**2.
u**2*(19*u - 2)
Let l(m) be the first derivative of 3*m**4/20 - 3*m**3/5 - 42*m**2/5 + 36*m - 309. Factor l(d).
3*(d - 6)*(d - 2)*(d + 5)/5
Let g(d) = -5*d**3 + 45*d**2 - 20*d - 20. Let p(a) = a - 1. Let w(q) = -q**2 - 20*q - 121. Let f be w(-8). Let y(t) = f*p(t) - g(t). What is h in y(h) = 0?
-1, 1, 9
Let m(c) be the second derivative of 0 + 1/42*c**7 + 1/15*c**6 + 0*c**2 - 1/20*c**5 - 34*c - 1/6*c**4 + 0*c**3. Factor m(o).
o**2*(o - 1)*(o + 1)*(o + 2)
Let d be 3/(-225) - (-1802)/7650. Factor -d*m**5 - 2/9*m**4 + 0*m + 0 + 8/3*m**2 + 16/9*m**3.
-2*m**2*(m - 3)*(m + 2)**2/9
Let b be 9102/54 + (-4)/(-9). Suppose 6*q**3 - 184*q**2 - b*q**2 - 12 - 33*q + 338*q**2 = 0. Calculate q.
-1, -1/2, 4
Let s be 74/(-74) - 3/(-2). Let r(j) be the first derivative of 1/3*j**6 - 2*j**2 - 6/5*j**5 + 15 + 0*j + 2*j**3 + s*j**4. Suppose r(p) = 0. What is p?
-1, 0, 1, 2
Let h be 4 + -4 - -4 - (-17 - -4). Suppose 11*k - h*k + 24 = 0. Factor 145*x - 151*x - 2*x**2 + 4 + k.
-2*(x - 1)*(x + 4)
Let i(x) be the first derivative of -x**7/420 + x**6/30 - x**5/5 + 2*x**4/3 + 33*x**3 + 80. Let o(g) be the third derivative of i(g). Factor o(n).
-2*(n - 2)**3
Suppose x = 1, -g - x - 4 = -38. Determine h, given that -78*h**3 - g*h**4 - 2*h**2 + 39 + 4*h**5 + 5*h**5 - 6*h**5 + 75*h - 4*h**2 + 0*h**5 = 0.
-1, 1, 13
Let l be (-6)/(-72)*(-19 - (-5 - 18)). Solve 1/3*r**4 - 1/3*r**3 - 1/3*r**2 + 0 + l*r = 0 for r.
-1, 0, 1
Let a(q) = -4*q**3 + 34*q**2 + 10*q - 26. Let s be a(10). Let t = -522 - s. Solve -6/5*v**3 - 3/5*v**t + 0*v + 0*v**2 + 0 = 0.
-2, 0
Let w be 9 + 88/(-11) - 11. Let t be (-32)/(-40)*w/(-14). What is a in 676/7 + 104/7*a + t*a**2 = 0?
-13
Let x(k) be the third derivative of -k**8/216 - 173*k**7/945 + 1961*k**6/540 + 17311*k**5/90 - 833*k**4/6 + 3545*k**2. What is d in x(d) = 0?
-21, 0, 2/7, 17
Let v(h) be the third derivative of -h**7/225 + 1283*h**6/900 + 739*h**5/150 + 557*h**4/180 - 74*h**3/9 + h**2 + 520*h - 2. Solve v(b) = 0 for b.
-1, 2/7, 185
Let j(k) = k**2 - 8*k - 12. Let v be j(8). Let t be (16/24)/((-1)/v) - 3. Factor -17*o + 5*o**2 + o + 44*o - t*o**3 + 2*o.
-5*o*(o - 3)*(o + 2)
Factor 21*g**2 + 17*g**2 + 24*g**2 + 20*g**2 + 279*g - 570 - 79*g**2.
3*(g - 2)*(g + 95)
Let p(g) be the third derivative of -g**5/120 - g**4/24 + 14*g**3 - 831*g**2. Find f such that p(f) = 0.
-14, 12
Let k(c) be the second derivative of c**4/54 + 20*c**3/27 - 32*c**2/3 + 111*c - 3. Factor k(u).
2*(u - 4)*(u + 24)/9
Suppose 2 = -2*k + 2*c, 22 = -7*k + 10*k + 2*c. Find h such that -4*h + 8*h**2 + 4*h**3 + 4*h + k*h = 0.
-1, 0
Let k(f) = -7*f - 18 - 8*f + 0*f**2 - 20 + f**2. Let n be k(18). Find d, given that -75*d**3 + 18 + n*d + 67*d**3 - 12*d**2 - 2 + 4*d**4 = 0.
-1, 2
Let y = 182515 + -547537/3. Determine z, given that 0 + y*z - 2/3*z**4 + 8/3*z**2 - 2/3*z**3 = 0.
-2, -1, 0, 2
Let g(c) be the third derivative of c**8/336 - c**6/30 + c**5/30 + c**4/8 - c**3/3 - 29*c**2 + 13. Factor g(b).
(b - 1)**3*(b + 1)*(b + 2)
Let u(t) = 35*t**3 - 9815*t**2 + 676110*t + 1391655. Let c(l) = -5*l**3 + 1402*l**2 - 96587*l - 198808. Let b(i) = -15*c(i) - 2*u(i). Factor b(z).
5*(z - 141)**2*(z + 2)
Let i = 25 - -19. Suppose -4*v = -4*g - i, -v + 3*g + 63 = 4*v. What is w in 7 + 5*w**2 - 7 + 0 + v*w = 0?
-3, 0
Let l(i) be the first derivative of 10/21*i**3 + 0*i + 1/21*i**6 - 2/7*i**2 - 3/14*i**4 - 2/35*i**5 - 4. Factor l(z).
2*z*(z - 1)**3*(z + 2)/7
Let a(o) = 4*o**3 + 15*o**2 - 224*o - 992. Let f be a(-5). Factor 15/7*u**2 + 9/7*u + 1/7*u**4 + 0 + u**f.
u*(u + 1)*(u + 3)**2/7
Suppose 0 = z - 5*q - 1451, -6*z = -z + 5*q - 7285. Find t, given that 30*t - 729 + z + 2*t**2 - 727 = 0.
-15, 0
Let t = 3/1309 + 3921/2618. Find y such that 0 + t*y**4 + 27/2*y - 15/2*y**3 + 9/2*y**2 = 0.
-1, 0, 3
Find l such that -41/5*l**2 + 4032/5 + 48*l + 1/5*l**3 = 0.
-7, 24
Let z be (23 - 1122/(-99)) + -30. What is y in -25 - 1/3*y**3 - 55/3*y - z*y**2 = 0?
-5, -3
Let l(b) be the first derivative of b**6/18 - 2*b**5/15 - b**4/2 + 8*b**3/9 + 5*b**2/6 - 2*b + 1341. Let l(x) = 0. Calculate x.
-2, -1, 1, 3
Let o be 6/(-10*48/1080*(-27)/8). Find j such that -3/8*j**o - 114*j**3 - 12510816 - 658464*j - 12996*j**2 = 0.
-76
Let l be (-44*2/(-20))/((-1)/(-25)). What is s in 31*s - 7*s + 0*s + 5*s**2 + 21*s - l = 0?
-11, 2
Let w = 13673/3 + -4557. Let a(u) be the second derivative of 0 + 8/15*u**6 + 0*u**2 + 2/21*u**7 + 6/5*u**5 + w*u**3 + 11*u + 4/3*u**4. Factor a(r).
4*r*(r + 1)**4
Let r(f) = 6*f**5 + 415*f**4 - 42847*f**3 - 43263*f**2 - f - 1. Let u(n) = 7*n**5 + n**3 + n**2 - n - 1. Let z(h) = 4*r(h) - 4*u(h). Factor z(o).
-4*o**2*(o - 208)**2*(o + 1)
Let f(k) = k - 6. Let g be f(8). Suppose -2*m = 3*a - 9 - 9, 4*m = -g*a + 20. Let -r**3 + 4*r - 4*r**4 - 2*r**2 + 6*r**4 - 3*r**m = 0. What is r?
-1, 0, 1, 2
Let d = 4715/452 - 77/113. Factor d*x - 9/4 - 3*x**2.
-3*(x - 3)*(4*x - 1)/4
Let g be (-126)/(-10) + ((-35)/(-25) - 1). Suppose -31*f + 27*f = -28. Factor 4*u**3 - 20*u**2 + 10*u + f*u + g*u - 14*u.
4*u*(u - 4)*(u - 1)
Suppose 0 = 2*n