3)
Suppose -2*v - 8 = -2*p, 0 = 2*p - 17*v + 19*v - 12. Factor 32*u - 2 + 164*u**3 + 31*u**2 + 68*u**4 + 16*u**p + 20*u**2 - 52*u**3 + 37*u**2 + 6.
4*(u + 1)**4*(4*u + 1)
Let d(p) be the third derivative of 1/84*p**5 + 48*p**2 - 1/840*p**6 - 1/56*p**4 + 0 - 15/2*p**3 + 0*p. Let g(o) be the first derivative of d(o). Factor g(l).
-(l - 3)*(3*l - 1)/7
Let p = 329/402 - -5737/2814. Find m, given that -24/7 - 4/7*m**2 + p*m = 0.
2, 3
Suppose -2*c - 5*t - 2 + 7 = 0, -3*c + 4*t = -19. Let m(a) = 5*a**2 - 15*a - 5. Let g(d) = 3*d**2 - 14*d - 5. Let o(j) = c*g(j) - 4*m(j). Factor o(i).
-5*(i + 1)**2
Let h(d) be the first derivative of d**4/72 + 5*d**3/36 + d**2/3 - 120*d - 29. Let f(z) be the first derivative of h(z). Factor f(a).
(a + 1)*(a + 4)/6
Let t(r) be the first derivative of -r**6/7 + 8*r**5/35 + 26*r**4/7 + 52*r**3/21 - 7*r**2 - 60*r/7 - 1321. Find v such that t(v) = 0.
-3, -1, -2/3, 1, 5
Let r(l) be the third derivative of -1/100*l**6 + 0*l**4 + 7/150*l**5 + 0 - 4/15*l**3 + 0*l - 47*l**2. Let r(c) = 0. Calculate c.
-2/3, 1, 2
Let o be 7 - (1755/110 - 9). Let d(h) be the first derivative of -2/11*h**3 - 2/11*h + o*h**4 + 3/11*h**2 + 18. Determine c so that d(c) = 0.
1
Let h = 3 - -2. Suppose 3*n + h - 11 = 0. Factor -4 + 0 + 60*p**2 - 29*p**n - 30*p**2.
(p - 2)*(p + 2)
Let z be 1/(-5) - (-61544)/245. Factor -56 - 200*b**3 - 6*b**4 + b**4 - 190*b**2 + z + 200*b.
-5*(b - 1)*(b + 1)**2*(b + 39)
Suppose -r + 75 = u - 6, 5*r = -2*u + 417. Let i = r + -82. Factor -12*l**3 - 54*l**2 + l**i + 6*l**3 - l**2.
-5*l**2*(l + 11)
Let d be (5/(-2))/((704/(-2112))/(4/6)). Suppose 1/5*o**3 - 2/5*o**4 + 0*o + 2/5*o**2 - 1/5*o**d + 0 = 0. Calculate o.
-2, -1, 0, 1
Let i(b) = 10*b + 4. Let v(g) = -3*g - 1. Let o(j) = -5*i(j) - 16*v(j). Let l be o(-3). Factor 32*m**l - 16 - 77*m**2 - 16*m + 41*m**2.
-4*(m + 2)**2
Suppose 12*n - 63*v + 64*v - 27 = 0, 3*v = -5*n + 19. Suppose 2 - 1/3*s**4 - 5/3*s + 5/3*s**3 - 5/3*s**n = 0. What is s?
-1, 1, 2, 3
Suppose -21*n - 234346 + 234976 = 0. Let u(x) be the first derivative of -n*x + x**3 + 18 - 9/2*x**2. Solve u(q) = 0.
-2, 5
Let -447458/15 + 1892/15*x - 2/15*x**2 = 0. What is x?
473
Determine j so that 845 - 773 - 132*j - 47*j**5 + 50*j**5 - 18*j**4 + 54*j**2 + 21*j**3 = 0.
-2, 1, 2, 3
Suppose 1158*l + 893*l = 2462*l - 822. Factor -2*c**3 - 172/7*c**l - 144/7 - 552/7*c.
-2*(c + 6)**2*(7*c + 2)/7
Find x, given that -14*x**3 + 838*x - 670*x - x**3 + 14*x**2 - x**4 - 16*x**2 = 0.
-14, -4, 0, 3
Let z(t) be the first derivative of -2*t**5/55 - 35*t**4/22 + 104*t**3/33 + 596*t**2/11 + 1440*t/11 - 3414. Solve z(m) = 0 for m.
-36, -2, 5
Factor -2454*j + 4868*j - 2624*j + 3*j**2 + 792.
3*(j - 66)*(j - 4)
Let a(n) be the second derivative of -n**7/168 + n**6/120 + n**5/40 + 243*n. Factor a(b).
-b**3*(b - 2)*(b + 1)/4
Let k(j) = -j**2 + 6*j + 83. Let u be k(9). Let i = -167/3 + u. Determine a so that i*a**4 + 1/3*a**2 + 0*a - 2/3*a**3 + 0 = 0.
0, 1
Solve -c**3 - 81209705*c - 55642320500 - 3*c**3 - 28860*c**2 + 11801405*c = 0.
-2405
Let n(k) be the second derivative of -k**8/336 + k**7/42 - 7*k**6/120 + k**5/20 - 57*k**2/2 + 11*k - 6. Let v(b) be the first derivative of n(b). Factor v(a).
-a**2*(a - 3)*(a - 1)**2
Suppose -3*y = 5*x + 3, y = -4*x - 7 - 1. Find s, given that -4*s**4 - y*s**3 - 5*s**3 + 9*s + s**3 - 16 + 7*s + 12*s**2 = 0.
-2, 1
Suppose -46/9*b + 1/9*b**2 - 32/3 = 0. What is b?
-2, 48
Suppose 5*g - 449 = 3*v, -6*v = -5*g - 4*v + 446. Solve -8*o**2 + 7*o**2 - 5*o**2 - g*o + 2*o**2 = 0 for o.
-22, 0
Factor -276*u**2 - 14*u - 6*u + 272*u**2 + 4*u.
-4*u*(u + 4)
Let o(f) be the first derivative of 26/3*f**3 + 73 - 2/5*f**5 - 7/2*f**4 + 0*f + 1/3*f**6 - 6*f**2. Factor o(g).
2*g*(g - 2)*(g - 1)**2*(g + 3)
Let b(f) = 12*f**4 - 118*f**3 + 240*f**2 - 198*f + 26. Let j(w) = w**4 + w**3 + w + 1. Let z = 131 + -132. Let k(y) = z*b(y) - 6*j(y). Solve k(q) = 0.
2/9, 2
Let u be (-6 + 4 + 2)/((-178)/(-178)). Suppose b + 9 = -3*r, 4*b + 4*r = 6*r + 20. Solve 0*f + 0 + u*f**2 + 1/5*f**5 + 0*f**b + 1/5*f**4 = 0 for f.
-1, 0
Let h(c) be the first derivative of 35 + 3/8*c - 1/8*c**2 - 1/24*c**3. Factor h(z).
-(z - 1)*(z + 3)/8
Solve -15/2*o + 9/2 - 3/2*o**4 - 3*o**2 - 3/2*o**5 + 9*o**3 = 0 for o.
-3, -1, 1
Let y be (-72)/900 - (204/(-50) + 4/1). Factor -2/3*k**3 - 2*k + y + 8/3*k**2.
-2*k*(k - 3)*(k - 1)/3
Determine h, given that -2/7*h**3 + 864/7 - 134/7*h**2 + 732/7*h = 0.
-72, -1, 6
Let k be ((-21)/(-2))/((-21)/28) - -2. Let f be 5*(-2)/20*k/3. Factor 4/7*y - 2/7*y**f + 6/7.
-2*(y - 3)*(y + 1)/7
Let a = 16/579 + 1657/2895. Suppose 0 - a*j + 3/5*j**3 - 3/5*j**2 + 3/5*j**4 = 0. What is j?
-1, 0, 1
Suppose -5*z + 425 = v - 6*v, -2*v = -z + 172. Let p = v + 91. Solve -240*i + 100 + 184*i**2 + 4*i**p - 2*i**4 - 48*i**3 - 2*i**4 + 4*i**4 = 0 for i.
1, 5
Let z(u) be the first derivative of 0*u - 4/5*u**2 - 8/15*u**3 - 44 - 1/10*u**4. Factor z(w).
-2*w*(w + 2)**2/5
Suppose -985447*k + 985565*k - 1062 = 0. Factor 0 - k*a + 1/3*a**2.
a*(a - 27)/3
What is d in 144*d + 20*d**2 + 0 - 1/4*d**4 - 7/4*d**3 = 0?
-8, 0, 9
Let b = 109 - 107. Let r be (-22)/121 + b/11 + 2. Find i, given that -5*i**3 + i**4 + 6*i**2 + r*i**4 - 3*i**3 - i**3 = 0.
0, 1, 2
Let u(p) = -p + 1. Let y(n) = n - 12. Let v(w) = 2*u(w) - y(w). Let d be v(4). Factor 4*j**3 - 8*j - 4*j**4 + 8 - 153*j**2 + 165*j**d - 12*j.
-4*(j - 1)**3*(j + 2)
Let l(f) = 5*f**4 + 66*f**3 - 175*f**2 - 68*f + 158. Let b(j) = 2*j**3 + 5*j**2 - j + 1. Let a(q) = -2*b(q) - l(q). Suppose a(h) = 0. Calculate h.
-16, -1, 1, 2
Suppose 22*g - 43*g = -84. Factor -g*w**4 - 55 - 31*w - 26*w**3 + 0*w**5 + 47 - 44*w**2 + w**5.
(w - 8)*(w + 1)**4
Let x(z) = 5*z - 115. Let g be x(-5). Let a be (g/(-525))/(4/10). Solve -2/9*j**2 - 4/9 - a*j = 0 for j.
-2, -1
Let r(h) be the first derivative of 2*h**7/105 - h**6/6 + h**5/5 + 3*h**4/2 + 11*h**2 - 4*h + 264. Let q(u) be the second derivative of r(u). Factor q(d).
4*d*(d - 3)**2*(d + 1)
Let o(s) be the third derivative of s**9/1008 - s**8/280 - s**7/280 + s**6/60 - 9*s**3/2 + 27*s**2. Let p(l) be the first derivative of o(l). Factor p(a).
3*a**2*(a - 2)*(a - 1)*(a + 1)
Let m(s) be the third derivative of -3*s - 2/3*s**3 + 0 + 8*s**2 - 9/10*s**5 + 29/12*s**4. Solve m(n) = 0 for n.
2/27, 1
Let r(h) = 34*h**4 - 179*h**3 + 361*h**2 - 181*h. Let f(z) = 14*z**4 - 90*z**3 + 180*z**2 - 90*z. Let p(s) = 5*f(s) - 2*r(s). Solve p(d) = 0.
0, 1, 44
Factor 1/7*u**2 - 624/7 + 2/7*u.
(u - 24)*(u + 26)/7
Suppose 3*l = 4*l - 3*m - 18, -5*m - 24 = -l. Let d be (294/l)/(-7)*-3. Suppose 8*y**2 - d*y**3 + 8*y - 35*y**4 + 15*y**4 - 3*y**5 - 3*y**5 = 0. What is y?
-2, -1, 0, 2/3
Let j be 1*(-34)/(-26) - (-11 - -12). Let f = j - 50/247. Let -4/19*k + 6/19 - f*k**2 = 0. Calculate k.
-3, 1
Let p be -1 + -2 + 56/8. Let g(n) be the first derivative of 24/5*n**5 + 0*n + 8*n**p - 8*n**3 + 2*n**2 + 4 - 6*n**6. Suppose g(a) = 0. What is a?
-1, 0, 1/3, 1
Let g(y) = -2*y**2 + y + 24. Let b be g(-3). Let u be ((-7)/b - -3)/((-14)/(-6)). Factor 0 + 2/7*c**2 + u*c**5 + 6/7*c**4 + 0*c + 6/7*c**3.
2*c**2*(c + 1)**3/7
Let p(u) be the third derivative of -u**8/336 + 11*u**7/105 + 61*u**6/120 - 161*u**5/30 + 10*u**4 + 8920*u**2. Let p(i) = 0. What is i?
-5, 0, 1, 2, 24
Let r(s) be the second derivative of 29/30*s**5 - 74/9*s**3 - 2*s + 98 - 16/3*s**2 + 4/45*s**6 - 11/6*s**4. Let r(j) = 0. Calculate j.
-8, -1, -1/4, 2
Let b(w) be the first derivative of -3*w + 0*w**2 + 13 + 0*w**3 - 1/66*w**4. Let m(z) be the first derivative of b(z). Determine o, given that m(o) = 0.
0
Suppose 1192*f = 136*f - 2424*f - 680*f + 8320. Determine i so that 2/3*i - 1/6*i**5 - 1/2*i**3 + 2/3*i**4 - 2/3*i**f + 0 = 0.
-1, 0, 1, 2
Let d(s) be the first derivative of -s**5/5 - s**4 + 26*s**3/3 + 30*s**2 - 225*s + 1291. Factor d(b).
-(b - 3)**2*(b + 5)**2
Let f(a) be the third derivative of 0 - 2/15*a**5 - 1/12*a**4 - 2*a - 1/168*a**8 + 0*a**3 - 7*a**2 - 4/105*a**7 - 1/10*a**6. Solve f(t) = 0.
-1, 0
Let i be (-2)/4*(14 - (-20 + 14 + 20)). Suppose 0*p**2 + i - 2/11*p**4 - 2/11*p**3 + 0*p = 0. What is p?
-1, 0
Determine f, given that 139330*f**2 - 300 + 36*f**3 - 37*f**3 - 139353*f**2 - 160*f = 0.
-10, -3
Let h be (-2)/6 + 51/(-7497)*-49. Factor h*z + 1/2*z**4 - z**3 + 0*z**2 + 0 + 1/2*z**5.
z**3*(z - 1)*(z + 2)/2
Let g = -427549 - -855113/2. F