70. Factor k(m).
-2*m*(m - 5)*(m - 2)*(m + 1)
Determine r so that 0 + 161*r**3 + 53*r**4 - 1/3*r**5 + 54*r + 485/3*r**2 = 0.
-1, 0, 162
Let m(k) be the third derivative of k**5/90 - 2*k**4/9 + 4*k**3/3 + 500*k**2. Solve m(q) = 0 for q.
2, 6
Let p(k) = -8*k**2 + 6*k. Let g(i) = -10*i**2 + 3*i**2 + 1331*i**3 - 1332*i**3 + 6*i - i**4. Let d(r) = -2*g(r) + 3*p(r). Factor d(h).
2*h*(h - 1)**2*(h + 3)
Let b(x) be the second derivative of -x**6/210 - 11*x**5/70 + x**4/84 + 11*x**3/21 + 317*x. Determine d, given that b(d) = 0.
-22, -1, 0, 1
Suppose -3*u - 3 = -g, 5*g = 2*g + u - 15. Let i(v) = v**2 + 5*v - 4. Let o be i(g). Factor r**5 - 242*r**2 - 8*r**3 + 21*r**3 + 6*r**4 + 254*r**o + 4*r.
r*(r + 1)**2*(r + 2)**2
Let m = 82 - 81. Let u(h) be the first derivative of 0*h**3 - h**3 + 2*h**2 - 24 - 3*h**3 + 2*h**4 - m. Factor u(j).
4*j*(j - 1)*(2*j - 1)
Let k be 5 - (7 - (-6 - -14)). Let p be 2*(1 + 6 - k). Find v such that 1/4*v**p - 1 - 3/4*v = 0.
-1, 4
Suppose 99 + 27 = 3*a. Suppose 2*b = -b + a. Find z, given that -b*z**4 + 17*z**4 + 13*z**4 + 16*z**3 + 4*z**2 = 0.
-1/2, 0
Factor 0 + 1/8*k**2 + 207/8*k.
k*(k + 207)/8
Let g(i) be the third derivative of i**7/8820 - i**6/630 - i**5/84 + 41*i**4/12 - 34*i**2. Let a(z) be the second derivative of g(z). Factor a(o).
2*(o - 5)*(o + 1)/7
Let o(s) = -10*s**3 - 32*s**2 + 110*s - 8. Let v(p) = -22*p**3 - 64*p**2 + 219*p - 18. Let w(x) = -9*o(x) + 4*v(x). Suppose w(u) = 0. Calculate u.
-19, 0, 3
Let g(w) be the second derivative of 1 - 4/15*w**5 - 1/45*w**6 - 8/3*w**2 - 22/9*w**3 + 9*w - 7/6*w**4. Solve g(b) = 0 for b.
-4, -2, -1
Let u = -169 - -306. Suppose u = 8*o + 121. Solve -12*r + 73/2*r**3 + o - 21/2*r**4 - 49/2*r**5 + 17/2*r**2 = 0.
-1, 2/7, 1
Suppose 333*v**4 - 5*v**5 + 585*v - 191*v**3 + 132 - 1363*v**2 + 898*v**2 - 389*v = 0. Calculate v.
-1, -2/5, 1, 66
Suppose -588*x + 611*x = 0. Let c(w) be the first derivative of -1 + 1/4*w**4 - 1/3*w**3 + 1/5*w**5 + x*w - 1/2*w**2. Let c(f) = 0. What is f?
-1, 0, 1
Let k(a) be the first derivative of 92 - 24/5*a**3 - 6/5*a**5 + 0*a - 24/5*a**2 + 27/5*a**4. Factor k(u).
-6*u*(u - 2)**2*(5*u + 2)/5
Find v, given that 8*v**5 + 13207*v**2 + 1084*v**3 - 416 - 10865*v**2 + 127*v**4 + 8*v**4 + 39*v**4 + 1008*v = 0.
-13, -4, -1, 1/4
Let x(m) be the third derivative of -m**5/450 - 107*m**4/60 + 322*m**3/45 + 2120*m**2. Factor x(t).
-2*(t - 1)*(t + 322)/15
Let x(l) be the second derivative of -l**5/30 - 13*l**4/48 - l**3/4 - 101*l**2 - 241*l. Let r(w) be the first derivative of x(w). Factor r(j).
-(j + 3)*(4*j + 1)/2
Let k(u) be the third derivative of u**7/1470 + 901*u**6/420 + 811801*u**5/420 - 39*u**2 + 2*u + 4. Factor k(f).
f**2*(f + 901)**2/7
Suppose -4*a - 64 = 4*a. Let m be a/(24/(-9)) - 0. Factor m*s - 6 - s**2 - 2 + 10 - 4.
-(s - 2)*(s - 1)
Factor -17*y**3 + 6*y**2 + 22*y**3 - 44*y + 39*y**3 + y**4 + 30*y**2 + 3*y**4 - 40.
4*(y - 1)*(y + 1)**2*(y + 10)
Let o(m) = -m**3 - 2*m + 3. Suppose 8*r - 15*r = 0. Let y be o(r). Factor -y*j**4 - 2 + 4*j**4 - 3*j**3 + j**2 + 0*j**4 + 3*j.
(j - 2)*(j - 1)**2*(j + 1)
Let c(g) = 24*g**4 - 44*g**3 - 32*g**2 + 52*g + 4. Let y(r) = -r**4 - r**2 - 1 + 2 + 108*r - 107*r + r**5. Let b(h) = c(h) - 4*y(h). Let b(o) = 0. Calculate o.
-1, 0, 1, 3, 4
Let m be (9 - -1)/(14/28). Factor m*q + 2*q**2 - 909*q**3 + 914*q**3 - 22*q**2.
5*q*(q - 2)**2
Suppose -5 = -2*m - 5*c, -4*m - 4*c + 21 = m. Suppose -5*v - m*n = -3*n - 25, n = 5. Determine d so that 4/9*d - 10/9*d**2 + 8/9*d**v + 0 - 2/9*d**4 = 0.
0, 1, 2
Let l(i) = -25*i**3 + 8*i**2 + 60*i. Let m(c) = -21*c**3 + 7*c**2 + 54*c. Let f(n) = -5*l(n) + 6*m(n). Find h, given that f(h) = 0.
-4, 0, 6
Solve -8/3 - 4/3*g**2 - 14/3*g + 2/3*g**3 = 0.
-1, 4
Let m = 160/9 - 154/9. Let j(q) be the first derivative of 12 + 0*q**2 + 0*q - m*q**3. Factor j(o).
-2*o**2
Let v(x) = 32*x - 2. Let l be v(1). Suppose -4*w + 9*w - l = 0. Factor w*i**2 - 36*i**3 + 2*i**2 - 48*i**4 - 20*i**5 - 16*i**2.
-4*i**2*(i + 1)**2*(5*i + 2)
Let x = 188310 - 188310. Factor 12/5*n + x - 4/5*n**3 - 8/5*n**2.
-4*n*(n - 1)*(n + 3)/5
Let s = 420214 - 420119. Let 5/2*u**2 + s*u + 185/2 = 0. What is u?
-37, -1
Suppose 0 = 4*k - 3*q - 24, -q = -2*k + 2*q + 18. Find w, given that -9*w**k - 18*w**2 + 4*w**3 + 13*w**2 = 0.
-1, 0
Let c be ((-19)/(-1))/(6/18). Suppose -5*x + 6*g - 3*g + c = 0, 2*g = 2. Factor -3 + 4*p + 8 + 12*p**3 - 5 - x*p**2 - 4*p**4.
-4*p*(p - 1)**3
Let j be ((-600)/54 - (16 - 28))*(-11 + 19). Find t such that 116*t**3 + 1736/9*t**2 + j + 208/3*t + 18*t**4 = 0.
-4, -2, -2/9
Suppose 47*f - 24*f + 503 = 5*j, 0 = -5*f - 105. Factor -4*y**2 - 14/3*y - 2/3*y**3 - 5/3 + 1/3*y**j.
(y - 5)*(y + 1)**3/3
Factor -152*q - 11/6*q**3 + 416/3 + 63/2*q**2.
-(q - 8)**2*(11*q - 13)/6
Let c(l) be the second derivative of -l**7/11 - 349*l**6/33 - 1784*l**5/55 - 54*l**4/11 + 770*l + 5. What is p in c(p) = 0?
-81, -2, -2/21, 0
Let j(r) be the third derivative of -r**7/315 - r**6/15 + r**5/2 - r**4/9 - 20*r**3/3 + 812*r**2 + 3*r. Determine f so that j(f) = 0.
-15, -1, 2
Let k(s) = 192*s + 963. Let z be k(-5). Let u(c) be the second derivative of 0*c**2 - 10*c**4 + 16/3*c**z + 18*c + 0 + 7/5*c**5. Factor u(d).
4*d*(d - 4)*(7*d - 2)
Let l(v) = v**4 - 12*v**3 - 16*v**2 - 9*v. Let w(f) = 7*f**3 + 5*f**3 + 3236*f**2 - 3218*f**2 + 14*f - 4*f. Let g(q) = -2*l(q) - 3*w(q). Factor g(d).
-2*d*(d + 1)*(d + 2)*(d + 3)
Factor -2*q**3 + 0*q + 0 - 2/3*q**4 + 56/3*q**2.
-2*q**2*(q - 4)*(q + 7)/3
Let s = 10044 - 30122/3. Let u(q) = q**2 + 4*q + 4. Let w be u(-5). Factor -18*m - 1/3*m**4 - s*m**3 - 12*m**2 - w.
-(m + 1)*(m + 3)**3/3
Let r(m) be the third derivative of 0 + 1/18*m**4 + m**2 + 2/63*m**7 + 2/9*m**3 + 17/360*m**6 - 1/4*m**5 + 0*m. Determine j, given that r(j) = 0.
-2, -1/4, 2/5, 1
Suppose -3*l + 24 = 6*v, 0 = -3*v - 381 + 390. Factor -8/3*w - 1/3*w**l + 0.
-w*(w + 8)/3
Let o(g) = 3*g**4 - 36*g**3 - 40*g**2 + 83*g + 5. Let f(w) = -5*w**4 + 54*w**3 + 61*w**2 - 126*w - 8. Let z(c) = 5*f(c) + 8*o(c). Factor z(t).
-t*(t - 1)*(t + 2)*(t + 17)
Let v = 33 + 7. Suppose -34 = 2*r - v. Suppose 79*d - 2 - 76*d + 2 + r*d**2 = 0. What is d?
-1, 0
Let f = -106/129 - -1/3. Let h = f + 127/172. Factor -3/4*a + 0 + h*a**2.
a*(a - 3)/4
Suppose 0 = -3*f, 5*u - 7*u + 56 = 5*f. Factor -26*k**3 - 4*k - u*k**3 - 10*k**2 + 60*k**3.
2*k*(k - 2)*(3*k + 1)
Suppose 56*r - 60*r + 8 = 0. Suppose -5*h = -10 - 5. Factor 2 - 7*u**r + 5*u**4 + h - 3*u**2 + 0.
5*(u - 1)**2*(u + 1)**2
Let l(o) be the second derivative of -o**5/60 + 227*o**4/36 - 2128*o**3/3 - 2166*o**2 - 7400*o. Factor l(t).
-(t - 114)**2*(t + 1)/3
Let t(r) be the first derivative of 2*r**3/69 - 26*r**2/23 - 1557. Factor t(g).
2*g*(g - 26)/23
Solve 4*b**4 + 868/9*b**2 + 56/9 + 188/3*b**3 + 44*b = 0 for b.
-14, -1, -1/3
Let r(u) be the first derivative of -4/9*u**3 + 92 + 0*u + 5*u**2 - 1/6*u**4. Factor r(l).
-2*l*(l - 3)*(l + 5)/3
Let u be (-896)/26*(-378880)/2590. Find d such that 192/13*d**2 + 6144/13*d + 2/13*d**3 + u = 0.
-32
Let r(i) = i**3 - 87*i**2 - 73*i - 1317. Let k be r(88). Factor 3*b + 3/5*b**4 - 3*b**k + 9/5*b**2 - 12/5.
3*(b - 4)*(b - 1)**2*(b + 1)/5
Let x be (0/(-4))/(6 + -3). Suppose -u - 2*z + 14 = 0, -4*u + 5*u - 5*z + 21 = x. Factor q**2 - 3/8*q + 0*q**u + 0 - 3/4*q**3 + 1/8*q**5.
q*(q - 1)**3*(q + 3)/8
Determine f so that -1/5*f**4 + 529*f - 1173/5*f**2 + 63/5*f**3 + 73002/5 = 0.
-6, 23
Let q = 15857 - 15852. Let 8/7*u**2 + 0 + 8/7*u**4 - 2/7*u - 12/7*u**3 - 2/7*u**q = 0. Calculate u.
0, 1
Let w be (-268)/10 + 6 - 2/10. Let r be (w/28)/(((-2)/(-8))/(-1)). Determine v, given that -v**r - 2*v**3 - 13*v - 3 + 12*v + 4*v**3 + 3*v**2 = 0.
-3, -1, 1
Let d be ((-7)/(-11 + 4))/1. Let p(o) = -16*o + 18. Let r be p(d). Factor 2/9*h**r - 10/9*h + 4/3.
2*(h - 3)*(h - 2)/9
Suppose 18*i + 9*i**2 + 3/2*i**3 + 12 = 0. What is i?
-2
Let q(n) be the third derivative of -34*n - n**2 + 1/112*n**8 - 11/40*n**6 + 1/70*n**7 + 5/4*n**4 + 0 - 4*n**3 + 7/20*n**5. Solve q(z) = 0 for z.
-4, -1, 1, 2
Let a(r) be the third derivative of 0*r + 27*r**2 + 1/180*r**5 + 1/72*r**4 - 1/3*r**3 + 0. Determine k, given that a(k) = 0.
-3, 2
Let -80 + 111 + 79*b**3 + 101 + 48*b**2 - 76*b**3 + 90*b**2 + 267*b = 0. Calculate b.
-44, -1
Let a(r) = r**5 - 87*r**4 - 1840*r**3 + 1938*r**2 + 2. Let b(k) = k**5 + 4*k**3 + k**2 + 1. Let g(v)