be the third derivative of -2/3*m**3 + 0 + 73*m**2 - 1/8*m**4 + 0*m + 1/60*m**5. Factor x(l).
(l - 4)*(l + 1)
Let x(w) be the first derivative of w**6/21 + 2*w**5/35 - 209*w**4/14 - 430*w**3/3 - 2384*w**2/7 - 2176*w/7 - 2258. Let x(f) = 0. Calculate f.
-8, -1, 17
Suppose -18 = -j - 2. Let f = -3 + 13. Factor -2*i**3 + f*i**2 + 1 - j*i + 7 + 0.
-2*(i - 2)**2*(i - 1)
Let m(g) be the third derivative of -g**6/96 + 157*g**5/16 - 195*g**4/2 + 2335*g**3/6 + 10944*g**2. Suppose m(a) = 0. What is a?
2, 467
Suppose 322*q = 293*q. Let p(w) be the first derivative of q*w**2 - 2 + 2*w - 1/6*w**3. Factor p(m).
-(m - 2)*(m + 2)/2
Suppose 0 = -2654*s + 2743*s - 267. Factor 2/13*k**4 + 0 + 6/13*k + 10/13*k**s + 14/13*k**2.
2*k*(k + 1)**2*(k + 3)/13
Let k(b) = b**2 + b - 2. Let z(s) = s**2 - 2*s. Let u(j) = -9*j**2 + j - 18. Let p(v) = u(v) + 4*z(v). Let x(g) = 14*k(g) + 2*p(g). Factor x(i).
4*(i - 4)*(i + 4)
Solve 48/7*s + 2/7*s**2 + 46/7 = 0 for s.
-23, -1
Factor -5*c**5 - 255*c**4 - 1850164 + 1850164.
-5*c**4*(c + 51)
Suppose 4*n = -2*b + 12, 2*b - 7*b = n - 12. Solve 12*g**n - 30*g**5 + 51*g**5 - 3*g**4 - 2*g**3 - 20*g**5 - 10*g + 2*g = 0.
-2, 0, 1, 2
Find s, given that 1448*s**3 + 343 + 1093 + 2747*s**2 + 1573*s**2 + 1542*s + 2770*s - 2811*s**4 + 2815*s**4 = 0.
-359, -1
Let k(q) be the first derivative of 11 - 26/27*q**3 + 1/3*q**2 + 2/9*q**4 + 0*q. Factor k(y).
2*y*(y - 3)*(4*y - 1)/9
Suppose 2*g = -6, -9 = -4*o - g + 24. Factor o*j**2 + 13*j**2 + 0*j**3 + 2*j**3.
2*j**2*(j + 11)
Let t(p) = p**3 - 7*p**2 + 5*p - 14. Let f be t(7). Suppose -5*b = -3*n - f - 12, -2 = 2*b - 5*n. Find h such that 13*h**2 + 39*h**2 - 6*h - 17*h**2 - b*h = 0.
0, 3/7
Let i(o) be the first derivative of 50/9*o + 85/9*o**2 + 1/6*o**4 + 62/27*o**3 - 147. Determine f, given that i(f) = 0.
-5, -1/3
Let q(z) be the first derivative of -5*z**4/34 - 28*z**3/51 + 3*z**2/17 + 653. Factor q(l).
-2*l*(l + 3)*(5*l - 1)/17
Let t(a) be the first derivative of a**4/16 - 29*a**3/4 - 57*a**2 - 92*a + 10084. Factor t(l).
(l - 92)*(l + 1)*(l + 4)/4
Let w(q) be the first derivative of 20*q - 21/2*q**2 + 21 + 1/3*q**3. Determine g so that w(g) = 0.
1, 20
Let s = -510591 - -510593. Solve -1/4*c**3 + 0 - 3/2*c + 7/4*c**s = 0.
0, 1, 6
Let f(l) be the first derivative of -24/5*l**2 - 90 - 19/5*l**3 + 12/5*l - 3/4*l**4. Factor f(j).
-3*(j + 2)**2*(5*j - 1)/5
Suppose -85*l**3 + 265*l**3 - 84*l**3 - 318 - 88*l**3 - 221*l**2 - 1270*l - 1043*l**2 = 0. Calculate l.
-1/2, 159
Let 200*w + 302*w**4 - 325*w**3 - 125*w**5 + 40 + 313*w**4 + 250*w - 655*w**2 = 0. What is w?
-1, -2/25, 1, 4
Let h(y) = y**2 + y - 1. Let j(a) = 2 - 24*a**2 - 3 - 18*a**2 + 54*a - 2. Let k(w) = -9*h(w) + j(w). Factor k(r).
-3*(r - 1)*(17*r + 2)
Let b(t) be the second derivative of t**4/16 - 62*t**3/3 - 83*t**2/2 + 1148*t. Solve b(u) = 0.
-2/3, 166
Let t(l) be the third derivative of l**9/60480 - 31*l**8/47040 + 13*l**7/17640 + 7*l**5/4 - 34*l**2 - 2. Let c(g) be the third derivative of t(g). Factor c(m).
m*(m - 13)*(7*m - 2)/7
Factor -27*y**2 + 29*y**2 + 131*y + 326*y + 173*y.
2*y*(y + 315)
Let x be (-48)/(-20)*(-350)/(-28). Suppose 0 = 19*r - x - 27. Factor -3/5*g - 1/5*g**r + 1/5 + 3/5*g**2.
-(g - 1)**3/5
Let x = 729 + -727. Suppose -3*o + 5*y = -24, -x*o + 0*y + 9 = -y. Suppose -24/5*z - 3/5*z**3 - o*z**2 - 12/5 = 0. What is z?
-2, -1
Suppose t + 2 + 23 = 4*r, 5*t + 5 = 0. Factor 9*g**3 + 210 + 134*g + 290*g**2 + r*g**3 - 480*g - 169*g.
5*(g - 1)*(g + 21)*(3*g - 2)
Let f(t) be the third derivative of t**2 + 1/1050*t**7 + 0*t**3 - 1/300*t**5 + 23*t + 1/60*t**4 + 0 + 1/1680*t**8 - 1/200*t**6. Factor f(a).
a*(a - 1)**2*(a + 1)*(a + 2)/5
Let f(r) = r**2 + 13*r + 43. Let l be f(-5). Find y, given that 18*y**l + 11*y + 7*y + 173 + 3064*y**2 + 14*y**3 - 3176*y**2 - 11 = 0.
-1, 9/4
Let o be (-546)/(-45) - 10/75. Factor o*d**2 + 88*d + 88*d - 4*d**4 - 168*d.
-4*d*(d - 2)*(d + 1)**2
Let m(c) = c**2 + 140*c + 2500. Let i be m(-119). Suppose 0 = 2*k - 15 + 5. Factor 7/4*n**2 - 9/4*n**3 + i + k*n.
-(n - 2)*(n + 1)*(9*n + 2)/4
Let s = 49 + -43. Let c be ((14/(-3))/((-4)/s))/1. Factor -32 - c*d**2 - 16*d - 3*d**2 + 4*d**2 + 4*d**2.
-2*(d + 4)**2
Factor 1015*l - 1/2*l**2 - 1030225/2.
-(l - 1015)**2/2
Let h(t) = 2*t**4 - 13*t**3 - 15*t**2. Let n(f) = f**3 + f**2. Let j(l) = -2*h(l) - 18*n(l). Factor j(o).
-4*o**2*(o - 3)*(o + 1)
Let a(z) be the first derivative of -3*z**4/4 - 93*z**3 - 549*z**2/2 - 273*z + 6301. Factor a(v).
-3*(v + 1)**2*(v + 91)
Suppose -80*t + 1136/7 - 4/7*t**2 = 0. What is t?
-142, 2
Let r be (-3 - 86/(-30)) + (-1384)/(-5190). Solve -4/15 + r*k**4 - 2/5*k + 2/5*k**3 + 2/15*k**2 = 0 for k.
-2, -1, 1
Let f be 30/(-390)*-169 + (-10 - 3). Factor -2*w + f*w**2 + 1/2*w**3 + 0.
w*(w - 2)*(w + 2)/2
Let o(f) be the second derivative of -f**4/96 + 241*f**3/48 + 243*f**2/8 + 2713*f. Find t such that o(t) = 0.
-2, 243
Let n(l) = 37*l**2 + 281*l - 304. Let b(g) = 11*g**2 + 94*g - 101. Let u(s) = -7*b(s) + 2*n(s). Find w, given that u(w) = 0.
-33, 1
Let i be ((-45)/(-6) - 7)/((-170)/(-8) - 20). Find l such that 0 + i*l - 2*l**2 = 0.
0, 1/5
Let h(b) = -2671*b - 32050. Let l be h(-12). Factor 5 - 1/2*s**l + 3/2*s.
-(s - 5)*(s + 2)/2
Suppose 0 = -v - 1 + 8. Let d(l) = l**2 - 7*l + 2. Let g be d(v). Solve h**2 - 2*h - h**5 + 2*h - h**3 - h**4 + g*h**3 = 0 for h.
-1, 0, 1
Suppose 39754/3*h + 2/3*h**3 + 560/3*h**2 + 77284/3 = 0. Calculate h.
-139, -2
Let w be ((-31)/(-31))/((8/36)/((-20)/(-45))). Find z such that -3/4*z + 3/4*z**3 + 3/4*z**w - 3/4 = 0.
-1, 1
Let s(x) be the second derivative of -42*x**2 + 43 - 292/3*x**3 - 308/3*x**4 - 174/5*x**5 + x + 6/5*x**6. Let s(f) = 0. What is f?
-1, -1/3, 21
Let a = 69823/9 + -7758. Let l(z) be the first derivative of -2/3*z**2 + 27 - a*z**3 - z. Factor l(s).
-(s + 1)*(s + 3)/3
Let o = -4255 - -12872/3. Let i = 223/6 - o. Factor -i*m**2 + 0 - 15/4*m**3 + 3*m - 9/8*m**4.
-3*m*(m + 2)**2*(3*m - 2)/8
Factor -105*y**2 - 4*y**3 - 606*y + 656 + y**3 - 246*y - 158 + 462.
-3*(y - 1)*(y + 16)*(y + 20)
Suppose 5*l - 14 = 2*k, -73*k = -76*k + 4*l - 7. Solve -22/7*n**2 - 78/7*n - 2/7*n**k - 90/7 = 0 for n.
-5, -3
Let j = -7 + 11. Suppose 0 = 2*t + 2*t + 4*s, -4*s = 12. Find k, given that 407*k**2 + 3*k**3 - 199*k**2 - j*k**4 - 192*k**2 + 4 - 14*k - 7*k**t + 2*k**5 = 0.
-2, 1
Let q = 224 - 217. Factor 8 + 9*v - q*v**2 - v + 9*v**2.
2*(v + 2)**2
Let f(m) be the third derivative of 0*m + 0 + 1/15*m**5 + 0*m**3 + 11/2*m**4 - 293*m**2. Solve f(d) = 0.
-33, 0
Suppose 15/7*i**2 - 1/7*i**4 + 36/7*i + 0 - 2/7*i**3 = 0. Calculate i.
-3, 0, 4
Let o(g) be the first derivative of g**4/22 + 2192*g**3/33 + 1095*g**2/11 - 5022. Determine p so that o(p) = 0.
-1095, -1, 0
Suppose -1352*j + 3 - 3 = 0. Factor -27*c**3 - 30*c**2 - 3/2*c**5 - 12*c + j - 21/2*c**4.
-3*c*(c + 1)*(c + 2)**3/2
Factor -1 - 4/5*u**3 + 11/10*u + 13/10*u**2.
-(u - 2)*(u + 1)*(8*u - 5)/10
Let t be -3 - (6/3)/(-2 + 1). Let a(x) = x**2 + x - 1. Let v(r) = -4 - 12*r**2 + 66 + 83 + 21*r - 22. Let l(m) = t*v(m) - 15*a(m). Factor l(s).
-3*(s + 6)**2
Let t = 949/3916 + 15/1958. Factor t*p**3 + p + 0 - p**2.
p*(p - 2)**2/4
Let c(t) be the second derivative of t**5/80 - 47*t**4/3 - 1507*t**3/24 - 377*t**2/4 + 33*t + 32. Let c(f) = 0. What is f?
-1, 754
Let p(j) = -2*j**2 + 2*j + 6*j**4 + 0*j + j**2 + 0*j**4 - 5*j**4. Let b(r) = 3*r**4 - 18*r**3 + 107*r**2 - 248*r + 196. Let l(s) = -b(s) + 2*p(s). Factor l(t).
-(t - 7)**2*(t - 2)**2
Suppose 3*k = 5*w - 5, 69*k - 5*w = 74*k + 75. Let x be k/3*5*(-18)/60. Factor -4/3*h**x + 0 + 0*h**2 - 4/3*h**4 + 8/3*h**3 + 0*h.
-4*h**3*(h - 1)*(h + 2)/3
Let g(i) = -5*i**2 - 44464*i + 40936891. Let p(w) = -9*w**2 - 77814*w + 71639559. Let c(l) = 30*g(l) - 17*p(l). Let c(a) = 0. Calculate a.
1847
Let s(i) be the second derivative of i**6/600 + 11*i**5/300 - 7*i**4/60 - 4*i**3/5 + 73*i**2 + 34*i + 2. Let n(x) be the first derivative of s(x). Factor n(d).
(d - 2)*(d + 1)*(d + 12)/5
Let z(i) be the third derivative of -3357*i**5/20 + 91*i**4 + 2*i**3 + 32*i**2 + 15*i. What is b in z(b) = 0?
-2/373, 2/9
Factor 587*m + 5*m**3 - 804*m - 212*m**2 + 889*m - 9*m**3.
-4*m*(m - 3)*(m + 56)
Let o = 64/2551 + -45339499/22959. Let x = 1977 + o. Factor 0 + x*i**3 + 32/9*i**2 - 16/9*i.
4*i*(i + 2)*(5*i - 2)/9
Find o such that 81*o**2 + 971 + 86*o**2 + 57*o*