2)/4
Let k(b) be the second derivative of -b**5/20 - b**4/2 - b**3 + 3*b**2 - 9*b. Let g be k(-5). Factor 6*n**3 + 0*n**3 - g + 14 - n**2 - 8*n**2.
3*(n - 1)**2*(2*n + 1)
Let i(z) be the third derivative of -z**5/40 + 11*z**4/64 + 3*z**3/16 + 20*z**2. Determine t so that i(t) = 0.
-1/4, 3
What is g in 0*g + 0 - 1/4*g**4 + 35/2*g**2 - 33/4*g**3 = 0?
-35, 0, 2
Suppose y + n - 3 = 0, 3*y = -2*n - 5 + 13. Suppose -y*w - 19 + 31 = 0. Solve -6 - 79*v - w - 20*v**2 + 51*v - 4*v**3 = 0.
-3, -1
Factor 0 + 94136/5*p**2 - 15744/5*p**3 + 342/5*p**4 + 0*p - 2/5*p**5.
-2*p**2*(p - 82)**2*(p - 7)/5
Factor -360*b + 1802/5 - 2/5*b**2.
-2*(b - 1)*(b + 901)/5
Let h(d) be the third derivative of 19*d**2 - 2*d + 0*d**3 + 1/525*d**7 + 648/25*d**5 + 0 + 3888/5*d**4 + 9/25*d**6. Solve h(q) = 0.
-36, 0
Let p(k) be the second derivative of -k**4/60 - 41*k**3/30 + 66*k**2/5 + 95*k - 3. Suppose p(d) = 0. Calculate d.
-44, 3
Let b(l) be the second derivative of 10*l**7/21 - 13*l**6/2 + 27*l**5/2 + 20*l**4/3 - 11*l - 57. Let b(q) = 0. What is q?
-1/4, 0, 2, 8
Let i(x) be the first derivative of -3*x**5/35 + 150*x**4/7 + 201*x**3/7 + 1915. Factor i(f).
-3*f**2*(f - 201)*(f + 1)/7
Let c(p) = -9*p**3 - 177*p**2 - 1314*p - 2020. Let l(r) = 5*r**3 + 87*r**2 + 657*r + 1011. Let v(w) = -6*c(w) - 11*l(w). Factor v(t).
-(t - 111)*(t + 3)**2
Let m(f) = 2*f**3 - 2*f**2 - 2*f + 300. Let z be m(0). Let r be -6 + 2 - z/(-70). Let r*x**5 - 2/7*x**4 + 0 + 0*x - 2/7*x**3 + 2/7*x**2 = 0. Calculate x.
-1, 0, 1
Let h(t) be the third derivative of t**7/420 + 13*t**6/120 + 23*t**5/120 - 25*t**4/24 - 35*t**2 - 12. Suppose h(g) = 0. What is g?
-25, -2, 0, 1
Let g(b) be the first derivative of b**6/51 + 4*b**5/85 - b**4/17 - 16*b**3/51 - 7*b**2/17 - 56*b + 124. Let p(q) be the first derivative of g(q). Factor p(a).
2*(a + 1)**3*(5*a - 7)/17
Let z = 400 + -417. Let n be (-840)/50 - z - (-29)/55. Factor 0*x - n + 2/11*x**2.
2*(x - 2)*(x + 2)/11
Let z = 498 - 486. Let p be ((-14 + 8)/z)/(-2). Factor -p*s**2 + 0*s + 7/4*s**4 + 0 - 1/2*s**3 - s**5.
-s**2*(s - 1)**2*(4*s + 1)/4
Let g = -5215844/5 - -1043170. Factor -g*f**3 + 8/5*f + 0*f**2 + 2/5*f**4 + 0.
2*f*(f - 2)**2*(f + 1)/5
Let f(v) be the second derivative of -v**6/45 + 17*v**4/9 + 32*v**3/3 + 21*v**2 - 108*v - 9. Solve f(d) = 0.
-3, -1, 7
Let q(w) be the third derivative of w**6/960 - w**5/96 - 125*w**4/24 + 875*w**3/3 + w**2 + 626. Suppose q(z) = 0. What is z?
-35, 20
Let a(w) be the second derivative of 33*w**5/20 + 23*w**4/2 + 4*w**3 - 663*w - 1. Factor a(y).
3*y*(y + 4)*(11*y + 2)
Let v(b) be the third derivative of -b**7/315 + 13*b**6/180 + b**5/6 - 13*b**4/36 - 14*b**3/9 + 2*b**2 - 4785*b. Determine f so that v(f) = 0.
-1, 1, 14
Let q be 12 + ((-4)/14)/(328/12628). Find g, given that 1/10*g**2 - 9/10*g - q = 0.
-1, 10
Factor 3772/3 - 11318/3*s + 2*s**2.
2*(s - 1886)*(3*s - 1)/3
Suppose -2/17*z**4 - 9514/17*z**2 + 0 + 20164/17*z - 280/17*z**3 = 0. What is z?
-71, 0, 2
Let i(n) be the first derivative of 0*n**2 + 10 + 0*n + 1/240*n**6 - 2/3*n**3 - 1/4*n**4 - 3/80*n**5. Let k(d) be the third derivative of i(d). Factor k(g).
3*(g - 4)*(g + 1)/2
Let s(u) = u**4 - 71*u**3 - 99*u**2 + 429*u + 3. Let w(r) = -r**4 + 143*r**3 + 199*r**2 - 857*r - 7. Let b(n) = -7*s(n) - 3*w(n). Solve b(c) = 0.
-3, 0, 2, 18
Suppose a + 263 = 813. Factor 12*r + a*r**2 + 8 - 267*r**2 - 279*r**2.
4*(r + 1)*(r + 2)
Let v(y) be the first derivative of -y**5/360 - 7*y**4/36 - 49*y**3/9 + 93*y**2/2 - 171. Let q(s) be the second derivative of v(s). Find f, given that q(f) = 0.
-14
Factor -704*k**2 + 2*k**4 + 18*k**3 + 1172*k**2 + 126*k - 562*k**2 - 52.
2*(k - 2)*(k - 1)**2*(k + 13)
Let z(a) be the third derivative of 1/600*a**6 - 3*a**2 - 2/5*a**3 + 0*a - 23/120*a**4 - 5 - 1/30*a**5. Solve z(u) = 0.
-1, 12
Let l = -602 + 608. Determine y so that -3*y**4 - l*y**3 - 53*y**2 + 28*y**3 + 17*y**3 + 95*y**2 = 0.
-1, 0, 14
Let d(k) be the third derivative of -2*k**7/105 + 8*k**6/15 - 62*k**5/15 + 40*k**4/3 - 22*k**3 - 261*k**2 - 1. Factor d(b).
-4*(b - 11)*(b - 3)*(b - 1)**2
Factor -802/5*b + 2/5*b**3 - 152/5*b**2 - 648/5.
2*(b - 81)*(b + 1)*(b + 4)/5
Let 0 + 0*a - 3828/5*a**3 + 13456/5*a**2 - 1/5*a**5 + 24*a**4 = 0. What is a?
0, 4, 58
Let z(r) = -1317*r - 11853. Let p be z(-9). Solve 4/3*k**2 + 4/3*k + p = 0 for k.
-1, 0
Suppose 5*d = -3*d + 72. Find v such that 8*v**2 - 25 + d + v**2 - 5*v**2 = 0.
-2, 2
Let s be (184/4)/(-2 + (-1 - -5)). Factor s*v**4 - 1 + 2*v**5 - 18*v**3 - 29*v**4 + 1 - 10*v**2.
2*v**2*(v - 5)*(v + 1)**2
Factor 8/9*f - 2/9*f**3 - 8/3 + 2/3*f**2.
-2*(f - 3)*(f - 2)*(f + 2)/9
Let i(z) be the first derivative of 74 + 2*z**3 + 45/4*z**2 + 25*z + 1/8*z**4. Factor i(y).
(y + 2)*(y + 5)**2/2
Let h(w) be the first derivative of -w**3/6 + 87*w**2/4 - 126*w + 2157. Factor h(v).
-(v - 84)*(v - 3)/2
Let j = 11351 - 102151/9. Let r(d) be the first derivative of -10 + 1/18*d**4 + 8/27*d**3 - j*d - 1/9*d**2. Factor r(k).
2*(k - 1)*(k + 1)*(k + 4)/9
Let b(i) = -i**4 + 8*i**3 + i**2 + i. Let z(v) = 22*v**4 - 146*v**3 + 68*v**2 + 323*v + 60. Let l(p) = -3*b(p) + z(p). Determine t, given that l(t) = 0.
-1, -1/5, 2, 6
Let r be (6/(-36))/((-1)/4). Suppose -457*v + 228*v - 28 = -236*v. Factor -8/15*o**3 - 4/15*o + 0 - r*o**2 - 2/15*o**v.
-2*o*(o + 1)**2*(o + 2)/15
Let q(y) be the second derivative of y**5/40 + 37*y**4/12 - 16*y + 1. Factor q(i).
i**2*(i + 74)/2
Let k be -2*3/(-1)*(-2)/(-6). Let r(d) be the third derivative of -14*d**k + 5/96*d**4 + 0 + 0*d**5 + 0*d - 1/96*d**6 + 0*d**3. Factor r(i).
-5*i*(i - 1)*(i + 1)/4
Let x(z) be the first derivative of -2*z**6/21 + 32*z**5/35 + z**4 - 248*z**3/21 + 96*z**2/7 + 10253. Determine j so that x(j) = 0.
-3, 0, 1, 2, 8
Find y, given that 128/3*y - 590/3 - 2/3*y**2 = 0.
5, 59
Let x(v) = -40*v**4 + 35*v**3 + 255*v**2 + 210*v. Let z(m) = 17*m**4 - 17*m**3 - 127*m**2 - 105*m. Let i(o) = 2*x(o) + 5*z(o). Factor i(t).
5*t*(t - 7)*(t + 1)*(t + 3)
Let s(n) be the third derivative of -23*n**2 - 17/4*n**4 - n - 1/20*n**5 - 289/2*n**3 + 0. Find h such that s(h) = 0.
-17
What is m in 2*m**3 - 134/11*m + 80/11 + 30/11*m**2 + 2/11*m**4 = 0?
-8, -5, 1
Let f(d) be the second derivative of 0*d**2 - 13 - 5*d - 5/12*d**4 - 55/2*d**3. Factor f(k).
-5*k*(k + 33)
Let j(r) = -4*r**2 - 124*r - 672. Let a be j(-24). Factor a*f - 1/6*f**5 + 0*f**2 + 0 + 0*f**4 + 0*f**3.
-f**5/6
Let m = -1860 + 1884. Suppose -17*f = -m*f. Factor 1/7*t**3 + 0*t**2 + f - 1/7*t.
t*(t - 1)*(t + 1)/7
Solve -30*j - 121/4*j**2 + 1/4 = 0 for j.
-1, 1/121
Let j(x) be the second derivative of -10*x**2 - 3*x**3 + 1/6*x**4 - 10*x - 1. Find y such that j(y) = 0.
-1, 10
Factor -18*c**2 + 123*c + 2*c**3 - 95*c + 2*c**2 - 2*c**2.
2*c*(c - 7)*(c - 2)
Let a(m) be the first derivative of 1/3*m**3 - 2*m**2 + 4*m + 28. Factor a(x).
(x - 2)**2
Let c(r) be the first derivative of r**5/450 + r**4/90 + r**3/45 + 21*r**2/2 - 62. Let l(p) be the second derivative of c(p). What is h in l(h) = 0?
-1
Let w be (-118)/(-16) + (4 - 1)/(12/(-28)). Factor w*t - 1/8*t**2 + 0.
-t*(t - 3)/8
Let d = 54 + -52. Suppose -x + v = -1, d*v = -2*x + 3*v + 4. Suppose 24*j**5 + 12*j**2 - 28*j**5 + 8 - 28*j**2 + 8*j**x + 8*j**4 - 4*j = 0. What is j?
-1, 1, 2
Let b(k) = -k**2 - 29*k + 96. Let t be b(-32). Let q(a) be the first derivative of 1/2*a**3 - 19 + t*a - 3*a**2. Solve q(o) = 0 for o.
0, 4
Let f(j) be the third derivative of 5*j**8/1344 - 29*j**7/420 + 37*j**6/160 + 37*j**5/120 - 43*j**4/24 - 3*j**3 - 2*j**2 - 42*j + 4. Let f(n) = 0. Calculate n.
-1, -2/5, 2, 9
Let s(i) be the second derivative of i**5/480 + 3*i**4/64 + i**3/6 + 25*i**2 - 19*i. Let c(u) be the first derivative of s(u). Suppose c(l) = 0. What is l?
-8, -1
Let d(o) be the second derivative of -1 - 18*o + 0*o**2 - 21/10*o**5 - 3/10*o**6 - 4*o**3 - 5*o**4. Find l such that d(l) = 0.
-2, -2/3, 0
Let v be (1131/377)/((-12)/(-70)). Find s, given that 1/2*s**3 - 69/2*s - 33/2*s**2 - v = 0.
-1, 35
Let o(s) be the third derivative of -s**7/168 - s**6/36 + s**5/8 - 29*s**3/3 - 50*s**2. Let k(l) be the first derivative of o(l). Factor k(p).
-5*p*(p - 1)*(p + 3)
Find d such that -18/5 + 288/5*d**3 - 132/5*d**4 + 63*d**2 + 33/5*d = 0.
-1/2, 2/11, 3
Let p(y) be the second derivative of y**7/630 - y**6/60 - 11*y**4/4 + 2*y - 1. Let o(s) be the third derivative of