erivative of z**5/150 + 17*z**4/5 + 2601*z**3/5 - 7183*z. Determine q, given that m(q) = 0.
-153, 0
Let k = -28088 - -84268/3. Let g(d) be the first derivative of 16 - 40*d**2 - 400*d - k*d**3. What is c in g(c) = 0?
-10
Suppose 0 = -15*f + 25 + 5. Suppose f*o = -5*o - 11*o. Let 0*d + o*d**2 + 6/7*d**3 - 2/7*d**4 + 0 = 0. Calculate d.
0, 3
Let u(a) be the first derivative of -a**4/24 + 91*a**2/12 - 15*a - 1361. Factor u(v).
-(v - 9)*(v - 1)*(v + 10)/6
Let b be 16/(-56) - 4551/168. Let d = -1277/56 - b. Find a such that 2/7*a**3 + 18/7*a**2 + 48/7*a + d = 0.
-4, -1
Suppose 6*n + 2360 = 262*n + 216*n. Solve -106/9*f**3 - 18*f**2 + 2*f**n - 32/9*f + 0 + 94/3*f**4 = 0.
-16, -1/3, 0, 1
Let f(a) be the second derivative of 8/5*a**2 - 10*a + 7/15*a**3 - 1/30*a**4 - 1. Factor f(l).
-2*(l - 8)*(l + 1)/5
Let l(j) be the first derivative of -j**5/20 - j**4/2 - 5*j**3/6 + 33*j + 3. Let d(b) be the first derivative of l(b). Let d(s) = 0. Calculate s.
-5, -1, 0
Let w(z) be the third derivative of -z**6/60 - 39*z**5/50 - 139*z**4/15 - 68*z**3/5 + 32*z**2. Determine s so that w(s) = 0.
-17, -6, -2/5
Let y be ((-385)/990)/((-7)/4). Let u(b) be the second derivative of 0 + 0*b**2 - 1/36*b**4 + y*b**3 + 7*b. Determine c, given that u(c) = 0.
0, 4
Let s(a) = 10*a**2 - 86*a + 571. Let x(v) = -7*v**2 + 86*v - 565. Let r(h) = -2*s(h) - 3*x(h). Factor r(p).
(p - 79)*(p - 7)
Let p be (-25)/(-3) + 22*(-144)/1056. Factor p*d - 16/3 + 4*d**2 - 8/3*d**3 - 4/3*d**4.
-4*(d - 1)**2*(d + 2)**2/3
Factor -122*g + 33489 + 1/9*g**2.
(g - 549)**2/9
Let -10*d - 819 + 34*d - 3*d**2 + 351 + 72*d = 0. Calculate d.
6, 26
Suppose 3*c + 5*a - 9 = 0, -3*c - 2*a + 0*a + 9 = 0. Find y such that -3*y**3 + y**c + 4*y**2 - 8*y**5 + 0*y**3 - 4*y**4 + 10*y**5 = 0.
-1, 0, 1, 2
Let q(w) = 5*w**2 - w. Let a be q(1). Suppose x - a*m - m - 7 = 0, 4*m + 4 = 0. Solve 2*l**3 + 8*l**x - 2*l**3 - 10*l - 4 - l**3 + 7*l**3 = 0 for l.
-2, -1/3, 1
Let r be (4/(-14))/(9/(-63)). Suppose 2*n = -r*j + 34, -3*n + 83 = 4*j + j. Factor -j + 10*g**2 + 0*g**2 - 6*g**2.
4*(g - 2)*(g + 2)
Let c = 499435 - 499430. Let j = -1 - -1. Factor 0*u**4 + 0 + j*u**2 - 2/7*u**3 + 1/7*u**c + 1/7*u.
u*(u - 1)**2*(u + 1)**2/7
Suppose 9 = 3*g - 3*s, 9*s = -5*g + 5*s + 33. Solve 12577 + g*p**4 - 5*p**3 - 2*p - 12577 + 7*p - 5*p**2 = 0.
-1, 0, 1
Let m = -191860 + 2110498/11. Factor m*p**3 - 42/11*p**2 + 4/11*p + 0.
2*p*(p - 1)*(19*p - 2)/11
Let u(o) be the third derivative of -o**7/840 - o**6/96 + 13*o**5/60 - o**4/24 - 10*o**3 - 114*o**2 - 8*o - 2. Solve u(v) = 0.
-10, -2, 3, 4
Suppose -g + 572 = 80. Let j be (-4)/6 + 451/g. Factor j*d**2 - 13/4*d - 7/2.
(d - 14)*(d + 1)/4
Let t(a) = -138*a**2 + 40 - 9*a**3 - 16*a + 239*a**2 - 114*a**2. Let x(i) = -3*i**3 - i**2 - i + 1. Let s(p) = -t(p) + 4*x(p). Factor s(w).
-3*(w - 3)*(w - 2)*(w + 2)
Let y(c) be the third derivative of -c**6/180 + 73*c**5/360 + 341*c**4/72 - 175*c**3/36 - 2*c**2 - 266. Solve y(x) = 0 for x.
-7, 1/4, 25
Let v be (6 + (-1065)/180)/1. Let t(u) be the first derivative of 1/18*u**6 + 0*u - 9 + 0*u**2 + 0*u**5 + 0*u**3 - v*u**4. Solve t(f) = 0 for f.
-1, 0, 1
Let r(p) be the first derivative of p**7/70 - p**6/40 - p**5/10 + 11*p**2 + 35. Let f(l) be the second derivative of r(l). Factor f(m).
3*m**2*(m - 2)*(m + 1)
Let z(h) be the first derivative of -h**7/112 - h**6/18 + 5*h**5/16 - 5*h**4/12 - 27*h**3 - 78. Let v(j) be the third derivative of z(j). Factor v(d).
-5*(d - 1)*(d + 4)*(3*d - 1)/2
Let f = 9 - 15. Let d(i) = -10*i**3 - 51*i**2 + i + 71. Let c = 400 - 411. Let m(x) = 5*x**3 + 26*x**2 - x - 36. Let l(r) = c*m(r) + f*d(r). Factor l(t).
5*(t - 1)*(t + 2)*(t + 3)
Let n(h) be the third derivative of 3*h**5/35 - 127*h**4/42 + 4*h**3/3 - 239*h**2 + 2*h. Let n(k) = 0. Calculate k.
1/9, 14
Factor 14/9*a**2 - 32/3 + 2/9*a**3 - 28/9*a.
2*(a - 3)*(a + 2)*(a + 8)/9
Let d(l) be the third derivative of l**6/96 + 127*l**5/16 + 80645*l**4/32 + 10241915*l**3/24 - 2385*l**2. Find m, given that d(m) = 0.
-127
Let o = -63666 - -63669. Factor -48 - 15*v**2 + 3/2*v**o + 48*v.
3*(v - 4)**2*(v - 2)/2
Let b(d) be the second derivative of 32/3*d**3 - 48*d**2 + 1/15*d**6 - 66*d + 0 - 4/5*d**5 + 4/3*d**4. Factor b(u).
2*(u - 6)*(u - 2)**2*(u + 2)
Let l(r) be the second derivative of -52*r - 11/210*r**6 + 1/294*r**7 + 0*r**3 + 3/7*r**4 + 0 + 0*r**2 + 6/35*r**5. Factor l(p).
p**2*(p - 6)**2*(p + 1)/7
Let q = -369 + 371. Solve -12*z**2 + 150 - 150 - 14*z + q*z**3 = 0.
-1, 0, 7
Suppose 2*p = -2093 + 2103. Let t(h) be the second derivative of 1/60*h**p + 0 - 1/3*h**2 - 1/9*h**4 - 13*h + 5/18*h**3. Let t(i) = 0. Calculate i.
1, 2
Let t = 46 - 34. Factor t*p**3 + 20*p + 4561 - 4561 - 36*p**2 + 4*p**4.
4*p*(p - 1)**2*(p + 5)
Let q = 512978 + -512974. Let 390625/2 + 1/2*c**q + 31250*c + 50*c**3 + 1875*c**2 = 0. What is c?
-25
Let b(d) be the third derivative of -d**8/2184 - d**7/1365 + 437*d**6/780 + 1837*d**5/390 - 968*d**4/3 - 340736*d**3/39 - 744*d**2. Factor b(s).
-2*(s - 16)**2*(s + 11)**3/13
Let l = -195 + 199. Suppose 0 = 5*h - 0*h + 10, l*r - 4*h = 20. Factor 16/3 - 40/3*n - 10/3*n**r + 11*n**2 + 1/3*n**4.
(n - 4)**2*(n - 1)**2/3
Let u(q) be the second derivative of 0 + q**4 - 54*q - 9/5*q**5 + 0*q**2 + 5/14*q**7 + 3/10*q**6 + 0*q**3. What is g in u(g) = 0?
-2, 0, 2/5, 1
Suppose 41*t - 57*t = -80. Suppose -729*r - r**t + 20*r**2 + 744*r - 21*r**4 - 4*r**5 + r**4 - 10*r**3 = 0. Calculate r.
-3, -1, 0, 1
Factor -8/5*v + 2/5*v**2 - 2.
2*(v - 5)*(v + 1)/5
Suppose 24*m - 26*m = -25*m - 15*m. Let z(b) be the third derivative of 1/42*b**7 - 1/4*b**6 + m - 7*b**2 + 0*b**3 + 3/4*b**5 + 0*b - 5/6*b**4. Factor z(r).
5*r*(r - 4)*(r - 1)**2
Let q(r) be the third derivative of r**5/12 - 325*r**4/6 + 430*r**3 - 3738*r**2. Factor q(x).
5*(x - 258)*(x - 2)
Let x(y) be the second derivative of -y**4/3 + 184*y**3/3 - 360*y**2 + 241*y - 3. Factor x(g).
-4*(g - 90)*(g - 2)
Suppose 5*w + 13 + 2 = -5*o, -2*o = -3*w - 19. Let v(j) be the first derivative of -15/8*j**4 + 0*j**o - 19/6*j**3 + 2*j + 4. Factor v(a).
-(a + 1)*(3*a + 2)*(5*a - 2)/2
Suppose 36 = 1383*c - 1371*c. Let o(d) be the second derivative of -3/2*d**2 - 1/24*d**4 - 5/12*d**c + 0 + 7*d. Find k such that o(k) = 0.
-3, -2
Let 882/11*f**5 + 9120/11*f**2 + 11600/11*f**3 + 1440/11*f + 64/11 + 5460/11*f**4 = 0. Calculate f.
-2, -2/21
Let n(c) be the second derivative of 11*c**5/4 + 365*c**4/2 + 3600*c**3 - 2000*c**2 - 285*c. Factor n(i).
5*(i + 20)**2*(11*i - 2)
Factor 2/7*u**3 - 12/7*u + 0 - 2/7*u**2.
2*u*(u - 3)*(u + 2)/7
Let r = 561 + -559. Let 11*g**2 - 50*g**2 + 2*g**r + 11*g**2 - 512 + 1800*g - 2*g**2 = 0. What is g?
2/7, 64
Suppose 21*t**3 - 12*t**2 - 7*t**3 + 21*t**2 - 8*t**3 - 3*t**4 + 12 - 20*t - 4*t = 0. Calculate t.
-2, 1, 2
Let a(l) = -l**3 - 883*l**2 - 1769*l - 9. Let b be a(-2). Determine r so that -35/3*r - 25/3 + 11/3*r**4 + 14/3*r**2 + 1/3*r**b + 34/3*r**3 = 0.
-5, -1, 1
Let l(n) = -5*n**3 + 30*n**2 - 24*n + 4. Suppose -10 = 8*w - 10*w. Let h(q) = q + 1 - q**3 + w*q - 4*q - 3*q. Let i(p) = -4*h(p) - l(p). Factor i(r).
(r - 2)*(3*r - 2)**2
Solve 180/17 - 124/17*m**2 - 66/17*m + 2/17*m**5 + 96/17*m**3 - 24/17*m**4 = 0 for m.
-1, 2, 3, 5
Suppose 3*g - 5*q + 60 = 0, 0 = 2*g - 5*q + 95 - 35. Find x such that -4/5*x**3 - 4/5*x**5 - 64/5*x - 96/5*x**2 + g + 24/5*x**4 = 0.
-1, 0, 4
Let c = 304 - 299. Let y be -2 - -1*(13 - 3). Determine f, given that y - f + 2*f**3 - 8 - f**c = 0.
-1, 0, 1
Suppose 6*g = 2*g + 4. Suppose 36 - g = 7*w. Find q such that -3*q**2 - 8*q**2 - 33*q**4 - 9*q**3 - q**2 + 45*q**3 + 9*q**w = 0.
0, 2/3, 1, 2
Let z(t) be the second derivative of -1/42*t**4 - 94/21*t**3 + 0 - 80*t - 2209/7*t**2. Factor z(l).
-2*(l + 47)**2/7
Let d(j) = -2*j**3 - 55*j**2 + 35*j + 20. Let a be d(-28). Let i be (2/8)/((-132)/a). Factor 0 - x**3 + 1/3*x**4 - i*x + x**2.
x*(x - 1)**3/3
Let b(i) be the second derivative of 0 - 55*i - 12*i**2 - 2*i**3 + 3/20*i**5 + 1/2*i**4. Let b(s) = 0. Calculate s.
-2, 2
Let r(n) be the first derivative of 7/6*n**5 + 25/12*n**2 + 5/3*n - 5/2*n**3 - 25/24*n**4 + 11. Find b such that r(b) = 0.
-1, -2/7, 1
Let d(f) = f**3 - 19*f**2 + f - 17. Let t be d(19). Let u be ((-20)/(-4) + 1)/(t + 0). Factor 54*v**2 + 648 - 90*v**3 + 48*v**3 + 324*v + 45*v**u.
3*(v + 6)**3
Let z be (-48)/(-28) + 41 + (-5130)/126. Factor 