 + 58. Factor n(c).
-(c - 9)*(7*c - 2)
Let z(c) = -c**3 + 6*c**2 - c + 4. Let i be z(5). Suppose -3*o**5 + 32*o**2 + 8*o**3 - 27*o**4 + 3 + 19*o**5 + 1 - i*o - 9*o**4 = 0. Calculate o.
-1, 1/4, 1
Let z(l) be the first derivative of -4*l**5/5 - 118*l**4 + 500*l**3/3 + 1428*l**2 - 11856. Factor z(n).
-4*n*(n - 3)*(n + 2)*(n + 119)
Let p be 300/(-72)*(-256)/40. What is i in 400/3 + 4/3*i**2 + p*i = 0?
-10
Let h be 52 - 57277/1122 - (-5)/(-6). Factor -8/17 - h*q**2 - 10/17*q.
-2*(q + 1)*(q + 4)/17
Let w = -12839 + 12845. Let b(h) be the third derivative of -7/20*h**5 - 5*h**2 + 0*h**3 + 1/40*h**w + 0*h + 0 - h**4. Factor b(y).
3*y*(y - 8)*(y + 1)
Let t(g) = g**3 + 33*g**2 + g + 38. Let u be t(-33). Let j(s) = s**3 - 2*s**2 - 12*s - 11. Let f be j(u). Factor -1/5*p**f + 2/5*p**3 + 0*p + 0 - 1/5*p**2.
-p**2*(p - 1)**2/5
Find n such that 171*n**5 - 216*n**3 - 321*n**2 - 381*n**5 - 47*n**2 + 214*n**5 + 92*n**4 + 800*n = 0.
-25, -2, 0, 2
Let m(o) be the third derivative of -o**6/420 + 59*o**5/420 + 1411*o**4/168 - 120*o**3/7 + 22*o**2 - 3*o + 35. What is d in m(d) = 0?
-16, 1/2, 45
Let j(l) = -4*l**3 - 4*l**2. Let d(t) be the first derivative of t**2/2 + t + 156. Suppose 2 = -3*o - 1. Let z(c) = o*j(c) - 4*d(c). Factor z(y).
4*(y - 1)*(y + 1)**2
Let k = -95 - -99. Suppose 2*p + 2*o + 2 - 60 = 0, k*p + 3*o = 120. Factor -p + f + 21 - f + 3*f**2.
3*(f - 2)*(f + 2)
Let r(i) = -2*i**3 - i**2 + 10*i. Let d = 514 + -565. Let k(n) = -16*n**3 - 8*n**2 + 81*n - 2. Let s(l) = d*r(l) + 6*k(l). Factor s(t).
3*(t - 2)*(t + 2)*(2*t + 1)
Suppose 6*t = 183 - 87. What is p in 20322 + 4*p**3 - t*p**2 + 12*p - 20322 = 0?
0, 1, 3
Let f(y) be the second derivative of -5476*y**4/3 - 296*y**3/3 - 2*y**2 + 2*y - 274. Factor f(h).
-4*(74*h + 1)**2
Factor -65*r**3 + 13*r**2 + 101*r**3 - 69*r**2 - 4*r**4.
-4*r**2*(r - 7)*(r - 2)
Let h(m) = 12 - 19 + 9*m - 20 + 5*m - 7*m**3. Let q be h(-11). What is a in -115 + 17 + 28*a - q*a**2 + 9134*a**2 = 0?
7
Solve 11*m**4 + 0 + 57/2*m - 1/2*m**5 - 11*m**2 - 28*m**3 = 0.
-1, 0, 1, 3, 19
Let h = -3/355 + -6017/2130. Let o = 43/12 + h. Find y, given that -99/4*y**2 + 30*y - o*y**4 - 12 + 15/2*y**3 = 0.
1, 4
Suppose -4*o - 12 = 2*i, 71*o - 3*i - 18 = 73*o. Let k(p) be the first derivative of o*p + 2 + 0*p**2 + 20/3*p**3 + 5/4*p**4. Let k(n) = 0. Calculate n.
-4, 0
Let c(w) be the first derivative of 2*w**3/13 - 47*w**2/13 + 88*w/13 + 1426. Factor c(r).
2*(r - 1)*(3*r - 44)/13
Let h = 503525/4 + -125881. Suppose 1/2 - h*z**2 + 1/4*z = 0. Calculate z.
-1, 2
Suppose -2*s = 2*v, -2*s = -3*v + 3*s + 16. Let r be 24 + -13 + -11 + 0. Find n, given that r + 2/7*n**v + 0*n = 0.
0
Solve -5/4*r**2 - 665/2*r - 88445/4 = 0.
-133
Let a(h) = -10*h**2 + 54*h - 44. Let f(k) = -28*k**2 + 160*k - 132. Suppose 84 = 3*j + 93. Let n(r) = j*f(r) + 8*a(r). Factor n(o).
4*(o - 11)*(o - 1)
Factor -144*f + 1/7*f**2 + 0.
f*(f - 1008)/7
Let v be 4 - (-10)/(-4)*(-4)/(-5). Factor -36*z**2 - 29 + 41*z**v + 2*z - 21 - 17*z.
5*(z - 5)*(z + 2)
Let t = -34 + 34. Determine x so that 13*x + t*x**2 + 9*x - 2*x**2 = 0.
0, 11
Suppose -4*d = -2*z + 644, 25*d - 22*d + 484 = z. Let b be ((-12)/d)/((-35)/42 - -1). Factor b - 1/9*v**2 - 4/9*v + 1/9*v**3.
(v - 2)*(v - 1)*(v + 2)/9
Let l(u) be the first derivative of -u**4/10 - 134*u**3/5 - 198*u**2/5 + 160*u + 1897. Find d, given that l(d) = 0.
-200, -2, 1
Suppose 5*p - 3*r = -8, -3*r - 7 - 21 = 4*p. Let c be p/44 - (-25)/33. Let -3*j**2 - c - 7/3*j - 1/3*j**4 - 5/3*j**3 = 0. What is j?
-2, -1
Let s be 294/385 - 96/264. Let 16/5*o - s*o**2 - 14/5 = 0. What is o?
1, 7
Let v(q) be the third derivative of 167*q**6/300 + 83*q**5/75 - q**4/60 - 6980*q**2. Suppose v(c) = 0. Calculate c.
-1, 0, 1/167
Let m(b) be the third derivative of -b**5/40 + 61*b**4/4 - 3721*b**3 - 330*b**2. Factor m(p).
-3*(p - 122)**2/2
Let k(h) = -3*h**3 + 12*h**2 - 8*h + 12. Let m(a) = 27*a**3 - 107*a**2 + 72*a - 114. Let l(f) = 19*k(f) + 2*m(f). Factor l(x).
-x*(x - 4)*(3*x - 2)
Suppose -3*c + 4 = d, -5*d - 53 + 41 = -c. Let k(l) be the second derivative of 2*l + 12*l**2 + c*l**3 + 0 - 3/20*l**5 - 1/2*l**4. What is u in k(u) = 0?
-2, 2
Let q(m) = 2*m**2 + 8*m + 1. Let g(a) = 9*a**2 - 24*a - 1198. Let n(b) = g(b) - 2*q(b). Let n(f) = 0. What is f?
-12, 20
Suppose -132*i + 13 = -365 - 18. Suppose 2/3*d**5 + 0 - 2/3*d**2 + 4/3*d - 2*d**i + 2/3*d**4 = 0. What is d?
-2, -1, 0, 1
Suppose -4*l + 3*v = 10, 2*l + 3*v + 6 = 28. Let d(c) be the first derivative of 1/3*c**l - 13 + 1/9*c**3 - c. Factor d(f).
(f - 1)*(f + 3)/3
Let v(u) be the first derivative of -4*u**3/3 - 256*u**2 + 2112*u - 6563. Suppose v(j) = 0. Calculate j.
-132, 4
Find x, given that 6*x - 117 - 22*x**2 + 13*x**2 - 58 - 241 + 11*x**2 = 0.
-16, 13
Let y(c) = 2*c**3 - c + 2*c + 0*c + 8 - c**3 + 6*c**2. Let d be y(-6). Factor -7*l + 10 + 20*l**2 - 7*l**3 - 18*l + d*l**3.
-5*(l - 2)*(l - 1)**2
Let u = 556/837 + 568/4185. Factor 48/5*f**3 - 144/5 - 48/5*f + u*f**4 + 28*f**2.
4*(f - 1)*(f + 1)*(f + 6)**2/5
Let u(m) be the first derivative of -m**7/420 + m**6/60 + m**5/15 - 13*m**3/3 + m - 67. Let i(d) be the third derivative of u(d). Factor i(w).
-2*w*(w - 4)*(w + 1)
Let s(p) be the third derivative of p**7/35 + 23*p**6/45 + 64*p**5/45 - 52*p**4/3 - 16*p**3 - 14*p**2 - 119. Find l such that s(l) = 0.
-6, -2/9, 2
Let r(n) be the first derivative of 23 - 256*n + 28/3*n**3 + 32*n**2 + 1/2*n**4. Factor r(x).
2*(x - 2)*(x + 8)**2
Let m(b) = 335*b**3 - 840*b**2 - 1205*b + 3590. Let g(p) = -48*p**3 + 120*p**2 + 172*p - 514. Let c(n) = 20*g(n) + 3*m(n). Factor c(z).
5*(z + 2)*(3*z - 7)**2
Let r(d) be the third derivative of -d**6/60 - 77*d**5/30 - 151*d**4/12 - 25*d**3 + 685*d**2. Find w such that r(w) = 0.
-75, -1
Let y(v) be the second derivative of -v**4/54 + 4*v**3/3 - 11*v**2 - 2*v + 12. Factor y(z).
-2*(z - 33)*(z - 3)/9
Determine k, given that 150*k**2 + 3/7*k**5 - 6*k**4 - 525*k + 72/7*k**3 + 0 = 0.
-5, 0, 5, 7
Let x(i) be the third derivative of 13*i**6/750 - i**5/250 - 75*i**2 + 1. Let x(m) = 0. What is m?
0, 3/26
Suppose 4*o + 5*k + 898 = 881, -4*k = 5*o + 10. Find v, given that -1/3*v**5 - 152*v - 73*v**3 + 48 + 505/3*v**o + 9*v**4 = 0.
1, 12
Let h = -4242 - -890821/210. Let r(x) be the third derivative of -h*x**5 + 0*x + 1/42*x**4 + 0 - 9*x**2 - 1/21*x**3. Find y such that r(y) = 0.
1
Let h(d) be the first derivative of -24/7*d**2 + 25/7*d**3 - 13 + 12/7*d + 3/5*d**5 - 57/28*d**4 - 1/14*d**6. Suppose h(x) = 0. Calculate x.
1, 2
Factor 102960*g**2 - 3*g**3 - 102835*g**2 - 2*g**3 - 615*g + 855.
-5*(g - 19)*(g - 3)**2
Suppose -12*j + 3824 = 139*j - 2216. Let y(r) be the second derivative of -25/12*r**4 - j*r - 5/9*r**3 + 0 + 0*r**2. Factor y(a).
-5*a*(15*a + 2)/3
Let s(j) be the first derivative of -5*j**4/8 + 5*j**3/2 + 25*j**2/2 - 60*j + 958. Factor s(f).
-5*(f - 4)*(f - 2)*(f + 3)/2
Let v(q) be the third derivative of q**8/336 + q**7/35 - 197*q**6/60 + 154*q**5/3 - 1813*q**4/8 - 4459*q**3/3 + 2388*q**2. Factor v(t).
(t - 7)**3*(t + 1)*(t + 26)
Suppose 8*f - 3*f - 5*x - 95 = 0, -56 = -4*f - x. Suppose -3*y = -3*b + f, 4*b - y - 3 = 11. Solve g + 3*g**2 + 13*g**4 - 19*g**4 - 2 + 5*g**4 - g**b = 0.
-2, -1, 1
Factor 98211 - 7*d**2 - 29078 + 68259 + 8*d**2 + 1268*d + 264564.
(d + 634)**2
Let c = -156 - -104. Let b = 54 + c. Factor 7*f + 5*f - 3*f**b - f**2.
-4*f*(f - 3)
Let c(q) = 1858*q - 432440. Let j(t) = -t**2 - 5573*t + 1297315. Let f(u) = 14*c(u) + 4*j(u). Factor f(a).
-4*(a - 465)**2
Let l be (244/854)/((-2)/(-28)). Let v be 17/(-136)*-3*l. Suppose -3/2*t**2 - 3/2*t**3 + v*t + 3/2*t**4 + 0 = 0. Calculate t.
-1, 0, 1
Factor -457*c + 221*c + 240*c + 6*c**2 - 4*c**3 - 5 - c**4.
-(c - 1)**2*(c + 1)*(c + 5)
Let w(j) be the second derivative of -j**5/5 - 56*j**4/3 + 602*j**3/3 - 488*j**2 + 1560*j. What is q in w(q) = 0?
-61, 1, 4
Let g(d) be the second derivative of -d**6/54 - 41*d**5/180 - 7*d**4/12 + 89*d**3/54 + 10*d**2/9 + 2*d + 88. Solve g(h) = 0.
-5, -4, -1/5, 1
Solve 1476*o**2 - 396*o + 0 - 855*o**3 - 169*o**5 - 2912/3*o**4 = 0.
-11/3, -3, 0, 6/13
Factor 5888*h**2 - 459 - 323*h + 5116*h**3 - 5144*h**3 - 1229 + 4551*h.
-4*(h - 211)*(h + 1)*(7*h - 2)
Let d(r) be the first derivative of -9/8*r**2 - 1/2*r**3 + 86 - 1/16*r**4 + 0*r. Solve d(n) = 0.
-3, 0
Let x = 19013/2982 + -4/213. Let o = 97/14 - x. Factor 