2 - 3*b**4 + 119*b**2.
-3*b*(b - 1)*(b + 1)*(b + 2)
Let w(b) be the first derivative of 1/22*b**4 + 9/11*b**2 + 36/11*b - 16/33*b**3 - 209. Find r such that w(r) = 0.
-1, 3, 6
Let d(g) be the second derivative of g**4/18 - 118*g**3/3 + 10443*g**2 + 634*g. Solve d(m) = 0.
177
Let x(s) be the second derivative of -s**7/28 - 3*s**6/5 - 147*s**5/40 - 45*s**4/4 - 19*s**3 - 18*s**2 + 4*s + 161. Solve x(j) = 0.
-6, -2, -1
Let k = 51 - 45. Factor 35*j + 6*j**2 - 38*j + 5*j**3 - 2*j**3 - k.
3*(j - 1)*(j + 1)*(j + 2)
Let h(j) be the second derivative of 23*j**7/13860 - 2*j**6/165 + j**5/165 + j**4/6 + 10*j**3/3 + 203*j. Let i(n) be the third derivative of h(n). Factor i(u).
2*(u - 2)*(23*u - 2)/11
Suppose -36*f + 22 = -122. Find u, given that 0*u**3 + 40*u**2 - 32 - 7*u**4 - 12*u**f - 4*u**3 + 3*u**4 + 16*u - 4*u**5 + 0*u**4 = 0.
-2, 1
Suppose -14*x + 36 = -2*x. Determine k so that -5*k**3 - k**5 + 15*k**x + 9*k**4 + 120*k - 120*k = 0.
-1, 0, 10
Suppose -5 = -4*x - 21*t + 22*t, -6*t + 74 = 2*x. Find z, given that -2/3*z**5 + x*z**3 + 0*z**2 + 10/3*z**4 + 0*z + 0 = 0.
-1, 0, 6
Let v(c) be the third derivative of c**6/12 + 21*c**5/10 - 8*c**4 + 28*c**3/3 + 1494*c**2. Factor v(i).
2*(i - 1)*(i + 14)*(5*i - 2)
Find a such that -91875 + 10*a**2 - 6*a**2 - 5*a**2 + 5*a**2 - 1050*a - 7*a**2 = 0.
-175
Let c be 147/(-392) + (1449/120 - 5/10). Let o be ((-9)/(-6))/((-3)/(-4)). Suppose 4/5*a**o + c*a + 196/5 = 0. Calculate a.
-7
Let n(l) = 3*l**2 + 2781*l - 2770. Let p(m) = 2*m**2 + 1854*m - 1846. Let h(q) = 5*n(q) - 7*p(q). Factor h(y).
(y - 1)*(y + 928)
Let p be ((-285)/(-38) + (-6)/18*21)*8*1. What is f in -12*f**2 + 48*f + 0 + 3/4*f**p - 3*f**3 = 0?
-4, 0, 4
Factor -589*a**2 + 3568*a**4 - 722*a**3 - 286*a + 1592*a**2 - 3563*a**4.
a*(a - 143)*(a - 1)*(5*a - 2)
Let l(u) be the second derivative of u**4/66 + 16*u**3/11 - 49*u**2/11 + 48*u. Factor l(d).
2*(d - 1)*(d + 49)/11
Let q be ((-2)/(-3))/((26/24)/13). Let z be 16/(-24) - q/(-3). Factor z*t**2 - 4*t**2 - t**2 + 11*t - 5*t - 3*t**3.
-3*t*(t - 1)*(t + 2)
Suppose 69*g = 832*g + 170*g. Factor g + 4/9*u - 2/3*u**2 + 2/9*u**3.
2*u*(u - 2)*(u - 1)/9
Solve 565/2*r - 1/2*r**2 + 283 = 0 for r.
-1, 566
Let n = -799 + 38. Let x = n + 3817/5. Let x + 93/5*q**2 - 9*q**3 - 12*q = 0. Calculate q.
2/5, 2/3, 1
Let z(h) be the third derivative of -h**7/1785 + 41*h**6/1020 - 79*h**5/510 + 13*h**4/68 - 163*h**2 - h. Suppose z(d) = 0. What is d?
0, 1, 39
Let j = 1000 + -998. Let u(i) be the second derivative of -2*i - 1/3*i**4 - 3/7*i**7 + 0 - 4/3*i**6 - 13/10*i**5 + 0*i**j + 0*i**3. Solve u(k) = 0.
-1, -2/9, 0
Let i(f) be the third derivative of -f**6/900 + 13*f**5/450 - 31*f**4/180 - f**3 - 11388*f**2. Factor i(l).
-2*(l - 9)*(l - 5)*(l + 1)/15
Factor -2865/7*n**3 - 682587/7*n + 685449/7*n**2 + 3/7*n**4 + 0.
3*n*(n - 477)**2*(n - 1)/7
Let m = -353593 - -353599. What is d in -m + 13/2*d**2 - 1/2*d**4 - 4*d + 9/2*d**3 - 1/2*d**5 = 0?
-2, -1, 1, 3
Factor -32*u + 330*u**2 + 6*u**3 - 10*u**3 - 294*u**2.
-4*u*(u - 8)*(u - 1)
Let q(n) be the third derivative of 2*n**5/105 + 895*n**4/28 + 671*n**3/21 - 6737*n**2. Solve q(d) = 0 for d.
-671, -1/4
Let l be 12/(-2) - (-15 + 8). Let g(i) = -i**3 + i**2 + i - 2. Let n(d) = 9*d**3 + 71*d**2 + 126*d + 8. Let b(w) = l*n(w) + 4*g(w). Let b(r) = 0. What is r?
-13, -2, 0
Let c be ((117 - -7) + (1 - 0))/1. Factor 10*v + 25*v + 10 - 45*v**4 - 105*v**2 - 20*v + c*v**3.
-5*(v - 1)**3*(9*v + 2)
Suppose 13*k - 16*k + 36 = 0. Suppose 4*n = -2*b + 13 - 7, 4*b - 4*n = k. Factor 3/5 - 3/5*v**2 + 3/5*v**b - 3/5*v.
3*(v - 1)**2*(v + 1)/5
Let a(s) be the first derivative of 2*s**3/63 - 290*s**2/21 + 578*s/21 + 563. Factor a(d).
2*(d - 289)*(d - 1)/21
Let g(l) be the first derivative of -32/7*l**2 - 2/21*l**3 - 143 + 0*l. What is s in g(s) = 0?
-32, 0
Let p(w) be the first derivative of 2/5*w**5 + 2*w**4 - 32*w + 0*w**3 - 10 - 16*w**2. Let p(l) = 0. What is l?
-2, 2
Let v(b) be the third derivative of b**8/672 + b**7/35 - 53*b**2 - 94. Suppose v(s) = 0. What is s?
-12, 0
Let c = -867449/30 + 28915. Let k(j) be the first derivative of 8/15*j**3 - 20 - c*j**4 + 0*j**2 + 0*j. Suppose k(a) = 0. Calculate a.
0, 12
Let p(i) be the second derivative of -8*i**2 + 0 - 77*i - 7/5*i**5 - 10/3*i**3 + 19/3*i**4 - 2/5*i**6. Determine j, given that p(j) = 0.
-4, -1/3, 1
Let -356/9*z**2 - 6728 + 2/9*z**3 + 5510/3*z = 0. What is z?
4, 87
Factor 10496/7 - 212/7*x**3 + 2160/7*x**2 - 8128/7*x + 4/7*x**4.
4*(x - 41)*(x - 4)**3/7
Let v be ((-6)/(-10) + (-381)/3810)*5/(-10)*-8. Solve 2/7*f**v + 32/7 + 34/7*f = 0 for f.
-16, -1
Let w(s) be the second derivative of -s**6/75 + 3*s**5/5 - 209*s**4/30 + 12*s**3 - 1764*s. Find i, given that w(i) = 0.
0, 1, 9, 20
Let g be 108/26 + (-6)/39. Suppose -g*q + 1 = -3*x - 18, -2*q - 3*x = -5. Factor 201*m**3 - 3*m - 5*m**5 - 7*m**4 - 203*m**3 + 1 + 10*m - q*m**4 + 10*m**2.
-(m - 1)*(m + 1)**3*(5*m + 1)
Let c(z) be the third derivative of z**8/504 - 2*z**7/35 + z**6/4 + 2*z**5/45 - 5*z**4/3 + 2*z**2 + 364*z. Find s such that c(s) = 0.
-1, 0, 2, 15
Let l(k) = -6*k**3 + 8*k**2 + 26*k - 72. Let d(n) = -19*n**3 + 24*n**2 + 79*n - 204. Let c(i) = -6*d(i) + 17*l(i). Factor c(t).
4*t*(t - 2)*(3*t + 4)
Let p(b) = 16*b**3 + 4*b**2 - b + 26. Let r be p(-4). Let i be (-62060)/r + 4/(-62). Factor i*o**2 + 40*o + 6.
2*(10*o + 3)**2/3
Let v(t) = -270*t**2 + 260*t + 514. Let m(y) = y**3 + 1082*y**2 - 1040*y - 2049. Let u(w) = -2*m(w) - 9*v(w). Factor u(a).
-2*(a - 132)*(a - 2)*(a + 1)
Find d, given that 5*d**3 + 536*d**2 - 1614*d**2 - d**4 + 4*d**3 + 537*d**2 + 533*d**2 = 0.
0, 1, 8
Let c(u) = -2*u - 11. Let l be c(-4). Let k be 5/((l - -2)/(4/(-4))). Factor 3*q - q + 16*q**2 + 2*q**k - 4*q**3 - 16*q**2.
2*q*(q - 1)**2*(q + 1)**2
Let a(u) be the second derivative of -u**4/42 - 796*u**3/21 + 2397*u**2/7 + 849*u + 3. Factor a(x).
-2*(x - 3)*(x + 799)/7
Let i(s) be the second derivative of s**5/20 - s**4/4 - s**3/6 + 5*s**2/2 + 191*s. Let n be i(3). Factor 11/4*d**n + 9/4*d - 1/2.
(d + 1)*(11*d - 2)/4
Suppose -179 = -4*w - 0*w - 5*n, 2*w + 4*n = 88. Let x = -29 + w. Factor 15*f**3 + 40*f**4 + 9*f**2 - 10*f - x*f - 37*f**4.
3*f*(f - 1)*(f + 3)**2
Let c = -914799 - -2744398/3. Let -1/3*k**3 + 0 + c*k**4 - 10/3*k**2 - 8/3*k = 0. Calculate k.
-2, -1, 0, 4
Let r be -125 + 128 - (0 - (-12448)/(-10)). Let u = r - 1246. Determine k, given that -6/5*k + u - 3/5*k**2 = 0.
-3, 1
Solve -2 - 67081/2*g**2 + 518*g = 0 for g.
2/259
Let p be 1*-30*19/(-114). Let o be (30/(-100))/((-12)/p)*6. Find b such that -o*b**2 + 9/2 - 3/4*b = 0.
-3, 2
Let t(a) be the third derivative of -3*a**8/28 - 34*a**7/7 - 1663*a**6/30 + 2191*a**5/15 + 836*a**4/3 - 3872*a**3/3 - a**2 - 371*a. Find d, given that t(d) = 0.
-44/3, -1, 1
Factor -659344/5 - 1624/5*l - 1/5*l**2.
-(l + 812)**2/5
Solve -158*y**5 - 58*y**4 + 190*y**3 + 328*y**5 - 188*y**5 + 96*y + 472*y**2 - 22*y**3 = 0.
-4, -2, -2/9, 0, 3
Let 4151*b + 8 - 64 + b**2 - 41 - 35 - 4150*b = 0. Calculate b.
-12, 11
Suppose 2*h + 10 = m - 7, -5*h - 3*m - 37 = 0. Let d be -2 - (2 + 0) - h. Determine z, given that -6*z**2 - z**3 + d*z + 5*z**3 + 14*z**2 = 0.
-1, 0
Let x(w) = 5*w**2 - 29*w + 24. Suppose 2*j + 39*m + 4 = 44*m, 5*m - 10 = 0. Let t(i) = -2*i**2 + 3*i - 1. Let u(h) = j*t(h) + x(h). Suppose u(c) = 0. What is c?
-21, 1
Let w(l) = -l**3 + 3*l**2 - 5*l + 9. Let z(g) = g**2 - g - 5. Let u(h) = 5*w(h) + 30*z(h). Let u(c) = 0. What is c?
-1, 3, 7
Let o(r) be the third derivative of r**8/672 + r**7/420 - r**6/10 - r**5/30 + 5*r**4/3 + 10083*r**2. Solve o(x) = 0.
-5, -2, 0, 2, 4
Suppose 0 = -4*z + 2*d + 6, -4*z + 7*z + 13 = -2*d. Let x be z + -9 + 4312/396. Factor 4/3*s + x + 4/9*s**2.
4*(s + 1)*(s + 2)/9
Let q(t) = 247*t + 2 + 254*t - 4*t**3 - 500*t. Let o be q(-1). Let -4/3*h + 4/9*h**o + 4/9 + 8/9*h**3 - 4/3*h**4 + 8/9*h**2 = 0. What is h?
-1, 1
Let a(k) be the second derivative of 1/18*k**4 + 4*k - 7 - 5/9*k**3 + 2*k**2. Determine f, given that a(f) = 0.
2, 3
Let n(f) be the third derivative of f**8/1176 - 4*f**6/105 - 19*f**5/105 - 11*f**4/28 - 10*f**3/21 - 3*f**2 - 1067. Find u, given that n(u) = 0.
-2, -1, 5
Let q be 45/(5 + 0)*(-3)/(-9). Let s(p) be the second derivative of 0 + 0*p**q - 1/30*p**6 + 10*p + 7/40*p**5 - 1/6*p**4 + 0*p**2 - 1/84*p**7. Factor s(a).
-a**2*(a - 1)**2*(a + 4)/2
