 -45. Let p be o(b). Factor 0*r**p - 2*r - 9*r**3 + 6*r**4 - 3*r**4 + 14*r.
3*r*(r - 2)**2*(r + 1)
Let q be (-2 + 1)*(-2 + -1). Let k be -4 + -20*3/(-6)*1 + -3. Find a such that -2 - a**k + 4*a - 2*a - a + 5*a**2 + 3*a**q = 0.
-2, -1, 1/2
Factor 413*x - 1251*x**2 - 1 + 5501*x**3 - 4246*x**3 - 419*x**4 + 3.
-(x - 1)**3*(419*x + 2)
Let z be 160/(-3040) + 689/95. Let -z*o**2 + 2/15*o**4 + 32/15*o**3 + 112/15*o - 38/15 = 0. Calculate o.
-19, 1
Suppose -5*p = 3*d - 0*p, 0 = -3*d + 4*p. Suppose 4*x + 0*h + 2*h - 2 = 0, -3*x + h + 14 = d. Factor 35*o + 7 + 5*o**x + 304*o**2 - 279*o**2 + 8.
5*(o + 1)**2*(o + 3)
Let s = 70451/117420 - -1/117420. Factor s*x**2 - 3/5*x + 0.
3*x*(x - 1)/5
Suppose -5*k = -14 - 1, 16 = v + k. Let s(a) = 7*a - 88. Let o be s(v). Solve 2/3*p**2 - 2/3*p**4 + 2/3*p**o - 2/3*p**5 + 0 + 0*p = 0 for p.
-1, 0, 1
Let n be (2/(-12) - 2/4)*-3. Suppose n*h + 1 = 9. Factor -55*o**3 - h*o**2 + 108*o**3 - 53*o**3 + 4*o**4.
4*o**2*(o - 1)*(o + 1)
Suppose -3*i - 25 + 8 = 5*k, -i = 4. Let w be (-1 + 2)/(k/(-2)). Factor -70*x**w + 181*x**3 + 115*x**3 + 5*x - 51*x**3.
5*x*(7*x - 1)**2
Suppose 170*z - 1646 = 168*z. Let j = 823 - z. Suppose 9/5*h**2 + 6/5*h**3 - 9/5*h**4 + j - 6/5*h = 0. What is h?
-1, 0, 2/3, 1
Let y(r) be the third derivative of -r**9/3024 - r**8/192 - 5*r**7/168 - r**6/16 - 43*r**4/12 - 54*r**2. Let u(m) be the second derivative of y(m). Factor u(b).
-5*b*(b + 1)*(b + 3)**2
Let h(o) = -8*o + 115. Let n be h(10). Let -10*y**2 - 8 - n*y + 92*y - 19*y - 20*y = 0. Calculate y.
4/5, 1
Let w = -37 + 78. Suppose -49 = -4*u - w. Solve 2*g + 3*g**2 - u*g**2 + 7*g - g**3 - 7*g = 0 for g.
-1, 0, 2
Factor 42 + 911*k**2 + 904*k**2 - 49*k + 119*k + 29 - 1816*k**2.
-(k - 71)*(k + 1)
Let k(n) = -n + 11. Let r be k(9). Suppose 14 = -0*s + r*s. Factor -7*j**3 + s*j**3 - 2*j**3.
-2*j**3
Let a(m) be the first derivative of -m**7/945 - 2*m**6/135 + 19*m**5/270 - 5*m**4/54 - 34*m**2 - 42. Let o(w) be the second derivative of a(w). Factor o(l).
-2*l*(l - 1)**2*(l + 10)/9
Let p(s) be the third derivative of -2*s**2 - 1/20*s**5 + 28 + s**4 - 6*s**3 + 0*s. Find x, given that p(x) = 0.
2, 6
Factor 64 - 386/3*h + 196/3*h**2 - 2/3*h**3.
-2*(h - 96)*(h - 1)**2/3
Let c(n) be the second derivative of -5*n**4/12 + 2815*n**3 - 14263605*n**2/2 - 842*n - 2. Solve c(p) = 0 for p.
1689
Find a, given that -44/7*a**4 + 176/7*a**2 - 16/7*a + 3*a**5 - 80/7*a**3 + 0 = 0.
-2, 0, 2/21, 2
Let x(s) = 4*s**4 - 61*s**3 - 776*s**2 - 2001*s + 1. Let j(w) = 3*w**4 + 9*w**3 - w**2 - w + 1. Let z(o) = -j(o) + x(o). Find c such that z(c) = 0.
-5, 0, 80
Factor 2/7*r**3 - 80/7*r**2 + 650/7*r - 1500/7.
2*(r - 30)*(r - 5)**2/7
Let x(r) be the third derivative of r**8/6720 + 13*r**7/720 + r**6/24 + 44*r**5/15 + 63*r**2. Let u(l) be the third derivative of x(l). Factor u(p).
(p + 30)*(3*p + 1)
Let j(n) = 6*n - 15. Let b(c) = -c**2 + 7*c - 14. Let u = 41 + -38. Suppose 0 = -3*d + 4*a - 3, -2*a - 8 = -u*d - 5. Let l(p) = d*b(p) - 4*j(p). Factor l(r).
-3*(r - 2)*(r + 3)
Let t = 114402797/5010585 - 34/52743. Let o = t - 240/19. Factor 18/5 - 7/5*s**3 - o*s - 8*s**2.
-(s + 3)**2*(7*s - 2)/5
Let h be ((-18)/(-12))/((-2)/15 - (-133)/210). Let r(p) be the second derivative of -4*p + 5/12*p**4 - 5*p**h - 35/2*p**2 + 0. Find s, given that r(s) = 0.
-1, 7
Let m(f) be the third derivative of -f**6/540 - 191*f**5/270 - 95*f**4/54 - 129*f**2 - 3*f. Suppose m(l) = 0. Calculate l.
-190, -1, 0
Let s(w) be the second derivative of 0*w**2 + 1/70*w**7 + 0*w**3 + 0 + 1/5*w**6 + 19*w + 6/5*w**4 + 21/25*w**5. Find d, given that s(d) = 0.
-6, -2, 0
Let m(q) = 6 + 6*q - 8*q + 2*q - q. Let r be m(2). Factor -100*b**2 + 80*b**3 - 40*b - 4 + 180*b**r + 103*b**4 + 37*b**4 - 299*b**5 + 43*b**5.
-4*(b - 1)**2*(4*b + 1)**3
What is n in 23104/15 - 7396/5*n**2 - 4/15*n**4 - 602/15*n**3 + 35264/15*n = 0?
-76, -1/2, 2
Let q(l) be the second derivative of l**5/4 + 945*l**4/4 + 1885*l**3/2 + 2825*l**2/2 + 2552*l. Solve q(g) = 0 for g.
-565, -1
Let b(q) be the first derivative of -q**5/40 - 49*q**4/32 + 9*q**3/4 + 49*q**2/4 - 25*q + 961. Suppose b(k) = 0. What is k?
-50, -2, 1, 2
Let f(x) be the first derivative of 2/3*x**3 + 8/3*x**2 - 40 + 32/9*x. Find g, given that f(g) = 0.
-4/3
Suppose -4713 = 4*u - 4765. Let i be (-3)/6 - (4 + (4 - u)). Let -3/4*q**2 + 21/4 - i*q = 0. What is q?
-7, 1
Let -18*m**2 - 5*m**3 - 200*m - 131*m**2 - 4 - 56*m**2 + 4 = 0. What is m?
-40, -1, 0
Let v(y) = 2*y**3 + 69*y**2 + 307*y + 225. Let p(a) = -3*a**3 - 139*a**2 - 612*a - 451. Let s(x) = -6*p(x) - 10*v(x). Determine c so that s(c) = 0.
-3, -1, 76
Let y(f) be the first derivative of -f**6/2160 - 7*f**5/720 + f**4/8 - 32*f**3 - 94. Let u(q) be the third derivative of y(q). Factor u(j).
-(j - 2)*(j + 9)/6
Let g(p) be the third derivative of 91*p**6/216 + 22*p**5/135 - p**4/18 + 125*p**2 - 2. Factor g(m).
m*(7*m + 2)*(65*m - 6)/9
Suppose 6/5*h**2 + 2/5*h**4 - 16/5*h**3 - 56/5 + 64/5*h = 0. What is h?
-2, 1, 2, 7
Let c = -9760 - -204961/21. Let f(t) be the second derivative of 0*t**2 - 1/15*t**6 + 2/3*t**3 - c*t**7 + 0 + 3/10*t**5 - 12*t + 5/6*t**4. Solve f(s) = 0 for s.
-1, 0, 2
Let j(f) = f**3 + 9*f**2 - 11*f - 1. Let y be j(-10). Suppose 10 = k - 3*g - y, -4*g = 0. Factor k*u**2 - 16*u**2 + 30*u + 36 + 39.
3*(u + 5)**2
Let v be 1/10*(96/(48/(-6)) + 16). Let o(b) be the first derivative of -2/15*b**3 - v*b**2 - 2/5*b - 19. Factor o(i).
-2*(i + 1)**2/5
Let a = -1654 - -2385. Let h = 5119/7 - a. Determine m so that -h*m**4 - 4/7*m**2 + 0 + 0*m - 6/7*m**3 = 0.
-2, -1, 0
Let c be 1 - (-22)/(-16) - (-2385)/5400. Let k(d) be the second derivative of 1/120*d**4 + 0 + 3/20*d**2 + 11*d - c*d**3. Factor k(p).
(p - 3)*(p - 1)/10
Suppose -4*h = 1910*s - 1909*s - 21, 2*h + 48 = 4*s. Factor -r**h + 4/5*r + 1/5.
-(r - 1)*(5*r + 1)/5
Let p(n) be the first derivative of 4*n**5/5 - 104*n**3/3 + 100*n - 1366. Let p(v) = 0. Calculate v.
-5, -1, 1, 5
Let l(h) be the second derivative of h**9/4536 - h**7/420 - h**6/270 + 27*h**3 + h - 82. Let f(u) be the second derivative of l(u). Solve f(b) = 0.
-1, 0, 2
Let w(b) be the third derivative of -b**7/210 - b**6/120 + 37*b**5/20 - 535*b**4/24 + 325*b**3/3 - 1449*b**2. Solve w(z) = 0 for z.
-13, 2, 5
Let y = -1438 - -1441. Let b(f) be the third derivative of 0*f**6 - 1/350*f**7 + 0*f**y + 0 + 0*f**4 + 1/100*f**5 - 4*f**2 + 0*f. Factor b(u).
-3*u**2*(u - 1)*(u + 1)/5
Let x(l) = -2*l**3 - 4*l**2 - 38*l. Let o(t) = -5*t**3 - 9*t**2 - 88*t. Let g(h) = 6*o(h) - 14*x(h). Factor g(b).
-2*b*(b - 2)*(b + 1)
Let v be ((0*3/6)/(-1))/4. Suppose -8*j - 2*j + j = v. Factor j*i - 3/2*i**3 + 0 - 3/2*i**2.
-3*i**2*(i + 1)/2
Let a = 8952 - 116372/13. Let m(r) be the first derivative of -2/13*r**4 + a*r - 10/39*r**3 + 30 + 7/13*r**2. Determine l so that m(l) = 0.
-2, -1/4, 1
Let f(o) be the second derivative of o**5/10 - 17*o**4/6 - 28*o**3 + 3262*o. Factor f(j).
2*j*(j - 21)*(j + 4)
Let z(l) be the first derivative of -6 + 1/2*l**3 + 5/8*l**2 + 1/16*l**4 + 0*l. Factor z(c).
c*(c + 1)*(c + 5)/4
Let 0*j - 93/4*j**3 - 91/2*j**2 - 1/4*j**4 + 0 = 0. Calculate j.
-91, -2, 0
Let i(o) be the first derivative of -3*o**2 + 0*o - 1/8*o**6 + 25/4*o**3 - 81/16*o**4 + 42 + 33/20*o**5. Factor i(y).
-3*y*(y - 8)*(y - 1)**3/4
Let y(b) be the third derivative of 7/12*b**4 + 245/3*b**3 + 66 + 0*b + 1/600*b**5 + 2*b**2. Find a, given that y(a) = 0.
-70
Suppose 2*x - 8 = -0*x, o - 4*x = -14. Suppose o*h - 6*h = -7*h. Factor 3/8*c**2 - 3/8*c**3 + 0*c + h.
-3*c**2*(c - 1)/8
Find y, given that -362 - 272 - 808*y**2 + 1628*y - 4*y**3 - 182 = 0.
-204, 1
Let a(p) be the first derivative of p**6/90 - p**5/45 - p**4/18 + 2*p**3/9 + 32*p**2 - 11. Let l(i) be the second derivative of a(i). Factor l(r).
4*(r - 1)**2*(r + 1)/3
Let j(a) be the second derivative of a**5/20 + 203*a**4/12 + 799*a**3/6 + 597*a**2/2 - 4086*a - 1. Find d, given that j(d) = 0.
-199, -3, -1
Solve 802/15*t**4 + 1012/15*t**3 + 224/15*t**2 + 0 + 14/15*t**5 + 0*t = 0.
-56, -1, -2/7, 0
Factor 116/9 - 82/9*i + 4/3*i**2.
2*(i - 2)*(6*i - 29)/9
Let b(k) be the first derivative of -4/5*k**3 + 0*k**2 + 0*k - 331 - 3/20*k**4 + 12/25*k**5 + 1/10*k**6. Determine f, given that b(f) = 0.
-4, -1, 0, 1
Factor 2656/9*c - 880/3 + 4/9*c**3 - 676/9*c**2.
4*(c - 165)*(c - 2)**2/9
Suppose 15 = -3*n - 2*v, 0 = v -