ond derivative of -p**5/80 - 25*p**4/48 + 17*p**3/24 + 2601*p**2/8 + 659*p. Factor x(i).
-(i - 9)*(i + 17)**2/4
Let k(p) = -40*p**4 + 643*p**3 + 2283*p**2 + 2828*p + 1120. Let c(u) = 6*u**4 - 92*u**3 - 326*u**2 - 404*u - 160. Let v(o) = 27*c(o) + 4*k(o). Factor v(x).
2*(x + 1)**2*(x + 2)*(x + 40)
Let v(j) = -j**3 + 28*j**2 - 68*j - 175. Let n be v(25). Let c(f) be the third derivative of -16*f**2 - 1/15*f**5 + n + 0*f - 1/3*f**4 + 2*f**3. Factor c(l).
-4*(l - 1)*(l + 3)
Let j = -62 + 74. Let 32 - 5*m**2 + 7*m**2 - 3*m**2 - m**2 - j*m = 0. Calculate m.
-8, 2
Let u(q) be the first derivative of -q**5/10 + 19*q**4/32 + 29*q**3/24 + 3*q**2/8 + 1015. Suppose u(x) = 0. What is x?
-1, -1/4, 0, 6
Let z(l) be the second derivative of -l**4/42 + 2*l**3/3 - 40*l**2/7 - 13*l + 52. What is h in z(h) = 0?
4, 10
Let x(i) be the third derivative of -2*i**2 + 0 + 5/4*i**4 + 50/9*i**3 + 19*i + 2/15*i**5 + 1/180*i**6. Factor x(d).
2*(d + 2)*(d + 5)**2/3
Suppose -4*a - 63 + 103 = 0. Factor 18 - 23 - 10*q**3 + 7*q**4 - 2*q**4 + a*q.
5*(q - 1)**3*(q + 1)
Let s = 16 - -374. Factor -4*h + s*h**4 + 72*h**3 - 27*h**2 - 2*h - 429*h**4.
-3*h*(h - 1)**2*(13*h + 2)
Let o(v) be the second derivative of -12*v + 6*v**3 + 3/10*v**5 - 61/28*v**4 - 54/7*v**2 + 0 - 1/70*v**6. Factor o(x).
-3*(x - 6)**2*(x - 1)**2/7
Let y(q) = 5*q**2 + 2*q + 3. Let a be y(0). Find h such that 7 - 12 + 1 + a*h**2 - h**3 = 0.
-1, 2
Let g(d) be the third derivative of 1/135*d**6 + 2/27*d**3 + 0*d + 2 - 7/108*d**4 - 1/54*d**5 + 7*d**2. Find l such that g(l) = 0.
-1, 1/4, 2
Let x = 723 - 455. Factor -x*r**3 - 3*r**4 + 78*r**2 - 51*r**2 + 244*r**3 - 324 + 324*r.
-3*(r - 3)*(r - 1)*(r + 6)**2
Let t(y) be the second derivative of 16/11*y**2 + 70*y - 73/110*y**5 + 13/165*y**6 + 37/22*y**4 + 1/77*y**7 - 70/33*y**3 + 0. Let t(g) = 0. What is g?
-8, 2/3, 1
Solve -34*n + n**2 - 74243 + 148390 - 74258 = 0 for n.
-3, 37
Let j(l) be the second derivative of l**7/420 - l**6/60 - l**5/20 + 3*l**4/4 - 9*l**3/4 - 24*l**2 + 81*l. Let b(o) be the first derivative of j(o). Factor b(q).
(q - 3)**2*(q - 1)*(q + 3)/2
Let d(t) be the third derivative of 1/24*t**4 + 0*t - 40*t**2 - 4 + 1/120*t**5 - 5/4*t**3. Suppose d(m) = 0. What is m?
-5, 3
Let z be (24/42)/((-10)/140*-3). Let g(n) be the second derivative of 16*n**2 + z*n**3 + 1/10*n**5 + 23*n + 0 - 7/6*n**4. Solve g(s) = 0 for s.
-1, 4
Suppose -58*v = 209 - 325. Factor -2/7*f**v - 8/7*f + 10/7.
-2*(f - 1)*(f + 5)/7
Let n = 155159 + -1706747/11. Determine x, given that -n*x**2 - 12/11*x + 32/11 = 0.
-8, 2
Let j be 4264/697 + (-6)/51. Let t(r) be the third derivative of 0*r**4 + 0*r - 1/420*r**j + 0 + 0*r**3 + 1/105*r**5 - 10*r**2. Factor t(n).
-2*n**2*(n - 2)/7
Let i(s) be the second derivative of -s**4/18 - 638*s**3/3 - 305283*s**2 - 2665*s. What is m in i(m) = 0?
-957
Solve -46*d**2 + 2/3*d**3 + 2450/3 + 770*d = 0.
-1, 35
Let d(m) be the third derivative of m**7/210 + m**6/30 + m**5/12 + m**4/12 + 845*m**2. Find g, given that d(g) = 0.
-2, -1, 0
Let p = 91375/2 + -45686. Let s(a) be the second derivative of -p*a**3 - 9/40*a**5 - 1/40*a**6 - 13/16*a**4 - 2*a + 4 - 3/2*a**2. Let s(d) = 0. Calculate d.
-2, -1
Solve -49727 + 889*b**3 + 392727 + 208*b**4 + 37*b**5 - 36*b**5 + 313810*b**2 - 671300*b + 13392*b**3 = 0 for b.
-70, 1
Let w(s) be the third derivative of -s**5/30 - 71*s**4/12 - 70*s**3/3 + 3*s**2 + 42*s. Factor w(x).
-2*(x + 1)*(x + 70)
Let z = -36 + 102. Let h = z + -64. Factor 3*j**3 + 168*j**h - 168*j**2 + 3*j**4.
3*j**3*(j + 1)
Factor 7*b**3 - 721*b - 105*b + 4025*b**2 - 3609*b**2 + 412 - 9*b**3.
-2*(b - 206)*(b - 1)**2
Let o(c) be the third derivative of -c**7/16380 + c**6/1170 - c**5/195 - c**4/12 - 26*c**3/3 + 77*c**2. Let a(i) be the second derivative of o(i). Factor a(k).
-2*(k - 2)**2/13
Let c(j) be the third derivative of -7*j**5/15 + j**4/2 + 1521*j**2. Solve c(w) = 0 for w.
0, 3/7
Let n(f) = -85 - 110*f + 19 + 20*f**2 - 109. Let u(t) = -7*t**2 + 55*t + 88. Let m(a) = 2*n(a) + 5*u(a). Find g such that m(g) = 0.
-9, -2
Let t(s) be the first derivative of s**3/12 + 29*s**2/2 + 115*s/4 - 11472. Let t(i) = 0. Calculate i.
-115, -1
Factor 240/7*s + 12 - 183/7*s**2 + 3*s**3.
3*(s - 7)*(s - 2)*(7*s + 2)/7
Let v = -291 + 460. Factor -31*l**4 + 616*l - 673*l**2 - 50 + 23 + 283*l**3 - v + l**5.
(l - 14)**2*(l - 1)**3
Let z(l) = l**3 - 11*l**2 + 16*l + 6. Let u be z(2). Let r be (2 - u) + 4 - 2. Factor 1/3*p**3 - 1/3 + 1/3*p**r - 1/3*p.
(p - 1)*(p + 1)**2/3
Suppose 6*b + 12 - 36 = 0. Solve 4*w**5 + 470*w - 470*w - 4*w**b = 0 for w.
0, 1
Factor 117*s**2 + 15*s - 69*s**3 - 81*s + 208*s + 47*s + 3*s**4.
3*s*(s - 21)*(s - 3)*(s + 1)
Suppose 0 = -6*o - 165 + 195. Factor 6*n**3 + o*n**4 + 0*n**5 + 0*n**5 + 0*n**5 - 3 - 7*n + n**5 - 2*n**2.
(n - 1)*(n + 1)**3*(n + 3)
Suppose 0 = -26*p - 9*p - 45*p + 160. Let k(n) be the first derivative of n**3 - 9/2*n**p - 22 + 6*n. What is b in k(b) = 0?
1, 2
Let i(c) be the third derivative of 1/56*c**8 + 5/4*c**5 - 7/8*c**4 - 4*c**3 + 0*c + 36 - 2*c**2 - 17/70*c**7 + 1/8*c**6. Suppose i(h) = 0. Calculate h.
-1, -1/2, 1, 8
Solve 1/2*x**2 - 125/6*x + 41/3 = 0 for x.
2/3, 41
Let x(d) = -4*d**3 + 10*d**2 + 12*d - 66. Let p(c) = c**2 - 1. Let g be -9*4/(-12)*-2. Let q(a) = g*p(a) - x(a). Determine f, given that q(f) = 0.
-2, 3
Let j be (31/4 + -7)*(480/9)/8. Solve 8*i**4 + 0 + 16*i**2 + 16/3*i + 52/3*i**3 + 4/3*i**j = 0 for i.
-2, -1, 0
Let c(w) be the third derivative of -w**7/140 + w**6/40 + 5*w**5/8 - w**4/8 - 6*w**3 - 93*w**2 - 2*w. Solve c(n) = 0 for n.
-4, -1, 1, 6
Let s(x) be the second derivative of -x**7/105 + x**6/25 + x**5/50 - x**4/10 + 7*x + 73. Solve s(n) = 0 for n.
-1, 0, 1, 3
Suppose -4*o + 0*o + 22 = 10. Let q(t) = -t**3 - 8*t**2 + 5. Let n be q(-8). Factor 2/9*z**2 + 2/9*z**n - 2/9*z**4 + 0 - 2/9*z**o + 0*z.
2*z**2*(z - 1)**2*(z + 1)/9
Let o(z) be the second derivative of -z**3/2 - 3*z**2 + 2*z. Let u be o(-3). Solve 272*q**2 + u*q**3 - 266*q**2 + 0*q**3 = 0.
-2, 0
Factor -49*l**3 - 952*l + 184*l**2 - 1681 - 1303*l - 807*l**2.
-(l + 1)*(7*l + 41)**2
Let h(y) be the second derivative of y**4/96 - 175*y**3/48 - 177*y**2/8 + 3*y + 145. Factor h(r).
(r - 177)*(r + 2)/8
Let k be (17/(714/(-108)))/(((-345)/(-161))/(-5)). Factor -k - 21/4*w + 3/4*w**2.
3*(w - 8)*(w + 1)/4
Find x, given that 68/5 + 7/5*x**2 - 48*x = 0.
2/7, 34
Let j(x) be the first derivative of -175/3*x**3 - 51 - 45*x**4 + 15/2*x**2 + 10*x. Factor j(i).
-5*(i + 1)*(4*i - 1)*(9*i + 2)
Suppose 0 = -9*j + 5*j - 2*w + 10, 5*w - 25 = 3*j. Suppose j = 75*q - 68*q - 21. Factor 0 - 1/2*g**2 + q*g.
-g*(g - 6)/2
Let y(z) be the third derivative of -23/8*z**4 + 0 + 2/5*z**5 - 3/2*z**3 - 22*z**2 + 0*z. Factor y(b).
3*(b - 3)*(8*b + 1)
Let w(o) = 68*o**3 + 172*o**2 - 76*o - 12. Let l(r) = 5*r**3 + r - 1. Let i(t) = -12*l(t) + w(t). Determine x, given that i(x) = 0.
-22, 0, 1/2
Let v(n) be the third derivative of -n**8/1008 - n**7/105 - n**6/40 - n**5/45 - 130*n**2 + 2*n. Determine x so that v(x) = 0.
-4, -1, 0
Let s be (-234)/(-91) + (-3)/(-7). Determine x so that 36*x - 27*x**s - 36*x**3 + 59*x**3 = 0.
-3, 0, 3
Let b(z) be the first derivative of 1/80*z**5 + 0*z + 2*z**3 - 1 - 1/4*z**4 + 2*z**2. Let c(u) be the second derivative of b(u). Suppose c(g) = 0. Calculate g.
4
Let s(i) be the second derivative of -2/25*i**5 + 0 + 1/2*i**4 + 0*i**2 + 91*i + 4/15*i**3. Let s(t) = 0. What is t?
-1/4, 0, 4
Let h(z) be the first derivative of 9 - 1/170*z**5 + 0*z**3 + 0*z**2 - 9*z + 1/102*z**4. Let y(w) be the first derivative of h(w). Factor y(u).
-2*u**2*(u - 1)/17
Factor -776*r**2 - 727 - 30*r**5 - 56*r**4 - 138*r**5 + 164*r**5 - 976*r - 279*r**3 + 247 - 21*r**3.
-4*(r + 2)**3*(r + 3)*(r + 5)
Let q be (17024/950 - 18)/((-1)/25). Solve -2/9 + 10/9*x + 14/9*x**3 + 26/9*x**q = 0 for x.
-1, 1/7
Find u such that 2*u**3 + 131246*u - 735403*u + 4563*u**2 - 6099*u**2 - 134217728 - 182275*u - 3*u**3 = 0.
-512
Let m(h) be the first derivative of 5*h**4/4 - 55*h**3 + 630*h**2 - 2561. Solve m(f) = 0 for f.
0, 12, 21
Let k(c) be the third derivative of -c**6/1260 + 13*c**5/630 + c**4/3 + 12*c**3/7 - 2*c**2 - 327*c. Factor k(o).
-2*(o - 18)*(o + 2)*(o + 3)/21
Let h be (-54)/216 - 114/(-72). Factor -16/3*m + 28/3*m**2 - h*m**3 - 16.
-4*(m - 6)*(m - 2)*(m + 1)/3
Suppose 12887*d - 15 = 12884*d