 92*s**2. Factor i(j).
-4*(j - 21)*(j + 1)/3
Let j(z) be the third derivative of -z**7/1575 - z**6/45 + 43*z**5/450 - 11*z**4/90 - 5*z**2 - 393*z - 1. Factor j(n).
-2*n*(n - 1)**2*(n + 22)/15
Let h(i) be the second derivative of i**6/40 + i**5/4 + i**4/2 + 64*i**2 + 6*i - 3. Let b(t) be the first derivative of h(t). Factor b(w).
3*w*(w + 1)*(w + 4)
Let m = 1/1849 - -5543/7396. Let h(z) be the second derivative of 0*z**3 - m*z**5 + 0*z**2 + 14*z - 1/6*z**6 + 0 - 5/6*z**4. Suppose h(a) = 0. Calculate a.
-2, -1, 0
Suppose -5*y + 10*y + 115 = 5*g, -4*g + 92 = 4*y. Solve -7 + g*x - 2*x**2 - 35*x + 4 - 7 = 0.
-5, -1
Suppose -4*r - 56 = -2*j, 0*j - 2*j - r = -56. Find b such that j - 21 - 5*b**3 + 0*b**2 + 40 + 13 + 40*b - 5*b**2 = 0.
-2, 3
Let m(c) be the second derivative of -c**5/25 - 452*c**4/5 - 1806*c**3/5 - 2708*c**2/5 + 8*c + 764. Let m(d) = 0. Calculate d.
-1354, -1
Let w(m) be the third derivative of -m**5/20 + 51*m**4/4 + 763*m**3/2 + 15872*m**2. Factor w(d).
-3*(d - 109)*(d + 7)
Let d(a) be the second derivative of -a**5/20 - 11*a**4/6 - 13*a**3/2 + 12*a**2 + 32*a. Let i be d(-20). Factor 1 + 3 + 7*m**2 + i*m - 6 - 9*m**2.
-2*(m - 1)**2
Factor 16/3 - 13718/9*a**4 - 1352/9*a - 12274/3*a**3 + 4180/3*a**2.
-2*(a + 3)*(19*a - 2)**3/9
Let b(p) be the second derivative of 2/45*p**4 + 53*p + 0 - 1/150*p**5 + 2/15*p**2 - 1/9*p**3. Factor b(j).
-2*(j - 2)*(j - 1)**2/15
Let t be -36*5/(90/156). Let c = t + 938/3. Factor -2/9*n**4 + 2/3*n**3 - c*n**2 + 2/9*n + 0.
-2*n*(n - 1)**3/9
Let n(r) be the second derivative of 35/6*r**3 + 0 - 25*r**2 + 70*r - 5/12*r**4. Solve n(u) = 0 for u.
2, 5
Determine a, given that 6081*a + 2*a**3 + 436 - 1411 - 5*a**3 - 2203 - 3036*a**2 + 136 = 0.
-1014, 1
Suppose q - 2 = -3*z, 4*q + 2 = -2*z - 0. Let a be -3 + z - 3/((-6)/10). Determine j, given that -3*j**3 - 12*j**2 - 2*j**a + 7*j**2 = 0.
-1, 0
Let t be 16/(-4) + -1 + 13*(-2)/(-5). Let u(z) be the second derivative of 0 + 0*z**3 + 1/3*z**4 - 18*z + t*z**5 + 0*z**2. Suppose u(x) = 0. What is x?
-1, 0
Determine l so that -17*l - 24 - 3/2*l**2 + 1/2*l**3 = 0.
-3, -2, 8
Let k(a) be the third derivative of -a**6/200 - a**5/10 + 434*a**2. Find p such that k(p) = 0.
-10, 0
Suppose -5*n - 11 = 3*c, -2*c - 3*c - 13 = 3*n. Let o(b) = -3*b**3 + 3*b**2 + 4*b + 2. Let h be o(n). Factor -x**3 - 15*x**h - 9*x**3 + 0*x**3 + 5*x**2.
-5*x**2*(x + 1)*(3*x - 1)
Suppose 58 - 55 = s. Solve 0*r**2 - 3*r**s - r**3 - 36*r**2 + 8*r**2 = 0 for r.
-7, 0
Factor 1/4*g**2 - 89/2*g + 7921/4.
(g - 89)**2/4
Let j(y) = -2*y**3 + 17*y**2 + 10*y - 33. Let g be j(9). Let h be (296/(-259))/(1 + g/14). Factor h + 4/5*l**3 + 0*l**2 - 12/5*l.
4*(l - 1)**2*(l + 2)/5
Let w(d) be the first derivative of -5*d**3/9 - 925*d**2/3 - 1748. What is u in w(u) = 0?
-370, 0
Let g(v) be the second derivative of v**6/165 + 402*v**5/5 + 444411*v**4 + 1310123628*v**3 + 2172512506131*v**2 - 1418*v. Factor g(s).
2*(s + 2211)**4/11
Let j be (0 - -12 - 6) + -4. Factor -56*a**j - 2*a - 287 + 7*a**2 + 287.
-a*(49*a + 2)
Let k(t) be the first derivative of 125/16*t**4 + 4913/4*t + 4335/8*t**2 - 87 + 425/4*t**3. Let k(b) = 0. Calculate b.
-17/5
Suppose 3*j = 4*w + 276, -3*j + 828 = 6*j - 5*w. Determine m, given that j*m - 2/3*m**2 - 3174 = 0.
69
Find f such that -1281*f - 18 - 10381*f**3 - 3544*f**3 - 23108*f**2 + 2689*f**3 = 0.
-2, -3/106
Let g(l) = 81*l**2 + 735*l + 2190. Let z(v) = -v**3 + 2*v + 1. Let k = -94 - -93. Let a(t) = k*g(t) + 3*z(t). Factor a(n).
-3*(n + 9)**3
Determine o so that -297/2 - 45/4*o**3 + 3/4*o**4 - 963/4*o - 417/4*o**2 = 0.
-3, -1, 22
Let h(u) be the first derivative of u**6 - 152*u**5/5 + 289*u**4/2 - 680*u**3/3 + 84*u**2 + 2507. Determine j, given that h(j) = 0.
0, 1/3, 2, 21
Let t be 6 + -162*(-33)/(-990). Solve 8/5*n**2 + 0*n**4 + 6/5*n**3 - 1/5*n**5 + 0 + t*n = 0 for n.
-1, 0, 3
Let k(a) be the first derivative of -a**5/70 - 5*a**4/42 + 13*a**3/21 - a**2 - 17*a - 55. Let l(v) be the first derivative of k(v). Factor l(c).
-2*(c - 1)**2*(c + 7)/7
Suppose -6*j - 4017 + 4017 = -28*j. Factor 50/3*m**2 + 24*m**5 - 70/3*m**3 + j - 16*m**4 + 0*m.
2*m**2*(m + 1)*(6*m - 5)**2/3
Suppose -100 = 2*i - 7*i. Let d be 40*i/16*4. Solve 195*w**3 - 2*w + 5*w**5 + 2*w - d*w**3 = 0.
-1, 0, 1
Suppose -3754/9*q + 1/9*q**2 + 3523129/9 = 0. Calculate q.
1877
Factor 5104*q**2 + 32*q - 2566*q**2 + 228 - 2539*q**2.
-(q - 38)*(q + 6)
Factor -1/4*x**2 - 105/2 + 107/4*x.
-(x - 105)*(x - 2)/4
Let v be (-85)/(-2720)*24/(1 + 5). Find n such that 8 + v*n**4 + 15/2*n**2 + 13/8*n**3 + 14*n = 0.
-4, -1
Let d(p) be the first derivative of -105*p**2/2 + 6. Let m be d(-6). Determine k so that -4 + 532*k**4 - 127*k**4 + m*k**3 + 65*k**2 - 140*k + 24 = 0.
-1, 2/9
Let u(b) = 2*b**2 - 12*b + 19. Let y be u(4). Find x such that x**3 + 20*x - 6*x**2 - 8*x + 2*x**y - 9*x**2 = 0.
0, 1, 4
Let t(k) be the second derivative of k**6/30 + 99*k**5/5 + 197*k**4/2 + 590*k**3/3 + 393*k**2/2 + 122*k + 9. Factor t(z).
(z + 1)**3*(z + 393)
Let o(p) be the second derivative of -59 + 25/6*p**3 + 15/2*p**2 + 5/12*p**4 - 2*p - 1/4*p**5. Solve o(y) = 0 for y.
-1, 3
Let d(p) be the first derivative of p**6/2 - 111*p**5/5 + 375*p**4/2 - 522*p**3 - 81*p**2/2 + 2349*p + 8427. Factor d(a).
3*(a - 29)*(a - 3)**3*(a + 1)
Let h = -4844 - -4850. Let y(w) be the second derivative of 1/252*w**7 + 0*w**3 + 1/24*w**5 + 0*w**2 + 0 + 13*w - 1/36*w**4 - 1/45*w**h. Factor y(z).
z**2*(z - 2)*(z - 1)**2/6
Let f(l) = l**3 + 2*l**2 - 3. Let d(m) = 12*m**3 + 30*m**2 + 209*m + 165. Let h(c) = 3*d(c) - 39*f(c). Factor h(j).
-3*(j - 17)*(j + 1)*(j + 12)
Let v(t) be the third derivative of t**6/120 - 163*t**5/15 + 26569*t**4/6 - 3775*t**2. Factor v(s).
s*(s - 326)**2
Let o(w) = -3*w**2 + 11*w + 22. Let n be o(5). Find j such that -48*j**4 + 30*j - 3947*j**3 + 3776*j**3 - 51*j**n + 21*j**5 - 2*j**4 - 19*j**4 = 0.
-1, 0, 2/7, 5
Let s = 11410 + -11410. Let a(c) be the second derivative of s + 7*c - 3/8*c**2 - 9/80*c**5 + 1/16*c**4 + 3/8*c**3. Determine n so that a(n) = 0.
-1, 1/3, 1
Let z(a) be the second derivative of -a**4/132 + 19*a**3/33 + 123*a**2/22 - 2*a - 144. Factor z(m).
-(m - 41)*(m + 3)/11
Let m(o) be the first derivative of 3/20*o**5 - 57/8*o**2 + 16 - 27/16*o**4 + 21/4*o**3 + 9/2*o. Find b such that m(b) = 0.
1, 6
Suppose -25/3*f + 1/6*f**2 + 44 = 0. Calculate f.
6, 44
Let z(m) be the first derivative of -178 - 11/8*m**2 + 3*m - 1/6*m**3 + 1/16*m**4. Factor z(s).
(s - 4)*(s - 1)*(s + 3)/4
Factor 19936/13*h**2 + 1632/13 + 11416/13*h - 98/13*h**3.
-2*(h - 204)*(7*h + 2)**2/13
Let 23462*i**2 - 21427*i**2 + 4895*i - 54*i**4 + 2150 - 695*i**3 + 69*i**4 = 0. Calculate i.
-1, -2/3, 5, 43
Suppose -11*r - 24 = -24. Suppose -5*n - 5 = 5*j, n = -4*j + 8 - r. Factor 3*c**2 + 1/3*c**4 + 5/3*c**j + 2/3 + 7/3*c.
(c + 1)**3*(c + 2)/3
Let n(x) be the third derivative of -x**5/80 - 2*x**4 + 65*x**3/8 - x**2 + 280*x. Suppose n(o) = 0. What is o?
-65, 1
Suppose 1 = 11*s - 131. Let i = 9 + 0. Factor 2 + i*k - 27*k**2 + 1 + s - 9.
-3*(3*k - 2)*(3*k + 1)
Let w(t) = -t**3 - 9*t**2 + 6*t - 20. Let z be w(-12). Factor -358*p + 722*p - z*p + 28 - 4*p**2.
-4*(p - 7)*(p + 1)
Let g(j) = 2*j**5 - j**4 - j**3 + 4*j**2 - 1. Let u(w) = -15*w**5 + 18*w**4 + 23*w**3 - 42*w**2 - 16*w + 8. Let m(s) = 24*g(s) + 3*u(s). What is h in m(h) = 0?
-8, -2, -1, 0, 1
Determine i, given that -6/5*i**4 + 1/5*i**5 - 48/5*i**3 - 33/5*i - 74/5*i**2 + 0 = 0.
-3, -1, 0, 11
Suppose 1311 = 9*r - 3765. Suppose -11*s - 2*s**2 + 3*s**3 - r*s**4 + 566*s**4 + 3*s + 5*s**3 = 0. What is s?
-4, -1, 0, 1
Let c(g) = g**2 - 27*g + 164. Let p be c(18). Let i be (3 - p)/(-9 - (-96)/10). Suppose 1/3*t**2 + 4/3 - i*t = 0. What is t?
1, 4
Let w(z) be the third derivative of -69*z**2 - 11/48*z**4 + 0*z + 3/140*z**7 + 0 - 11/120*z**5 + 1/16*z**6 - 1/6*z**3. Find u, given that w(u) = 0.
-2, -1/3, 1
Let l = -770 - -772. Let z be l/(-4)*(-52 + 44). Factor 1/2*b**2 - 2/3*b**3 + 1/6*b**z + 0*b + 0.
b**2*(b - 3)*(b - 1)/6
Suppose 50/7*b**3 - 696/7*b + 256/7*b**2 - 2/7*b**4 + 0 = 0. What is b?
-6, 0, 2, 29
Let t(u) = -8*u**3 + 2*u + 6. Let o be 4/66 + (-2527)/(-231). Let q(v) = 12*v**3 - 5*v + 2*v**3 - 11 + v**2 + v**3. Let h(d) = o*t(d) + 6*q(d). Factor h(c).
2*c*(c - 1)*(c + 4)
Factor 140*n + 5371*n**2 + 5371*n**2 + 5372*n**2 + 15*n - 16113*n**2.
n*(n + 