tive of b(n). Factor w(x).
(x + 2)*(3*x + 1)**2
Let f(h) = 2*h**2 - 5*h + 5. Let t = 740 - 734. Let r be (-2)/(-5) + 256/10. Let m(l) = -8*l**2 + 19*l - 19. Let w(p) = r*f(p) + t*m(p). Factor w(a).
4*(a - 2)**2
Suppose 5 = -51*c + 50*c. Let r(m) = -4*m**3 + m**2 + 12*m + 36. Let u(z) = 7*z**3 - z**2 - 25*z - 72. Let t(g) = c*r(g) - 3*u(g). Factor t(o).
-(o - 4)*(o + 3)**2
Let g(m) be the third derivative of -2/3*m**3 + 1/12*m**4 + 1/30*m**5 + 0*m - 24*m**2 + 0. Factor g(y).
2*(y - 1)*(y + 2)
Let o(n) be the first derivative of n**3/6 + 5*n**2/4 - 219. Let o(w) = 0. Calculate w.
-5, 0
Let y be (7072/288 + -24)/(10/12). Solve y*r**2 - 1/2 + 11/6*r = 0.
-3, 1/4
Let f(o) be the first derivative of -o**4/4 + 40*o**3/3 - 200*o**2 - 9. Factor f(x).
-x*(x - 20)**2
Suppose 20*l = 21*l + 36. Let x be 2 + l/14 + 1. Let -q - 3/7 + q**2 + x*q**3 = 0. What is q?
-3, -1/3, 1
Let i(l) be the third derivative of 0 + 0*l**3 - 12*l**2 + 0*l - 1/200*l**6 - 1/100*l**5 + 1/20*l**4. Find k such that i(k) = 0.
-2, 0, 1
Let i(q) = q**3 - q**2. Let o be i(0). Suppose 7*g - 2*g - 10 = o. Let -2*d**3 + 5*d**3 - 5*d**3 + 4*d**g - 4*d**3 = 0. Calculate d.
0, 2/3
Let v = 111528496/299 - 373004. Let y = v + -16/23. Factor 0*h + 2/13*h**3 + 0 + y*h**2.
2*h**2*(h + 2)/13
Suppose 12*v = 11 + 13. Let o(s) be the second derivative of -2/5*s**5 - 2/3*s**3 + 0*s**v - 6*s + 1/15*s**6 + 0 + 5/6*s**4. Suppose o(y) = 0. What is y?
0, 1, 2
Let a(l) be the third derivative of -l**9/12096 + l**8/4032 + l**7/1008 - l**6/144 + 5*l**5/12 - 24*l**2. Let k(h) be the third derivative of a(h). Factor k(x).
-5*(x - 1)**2*(x + 1)
Let p(m) be the first derivative of m**6/9 - 2*m**5/3 + 2*m**4/3 + 871. Let p(k) = 0. What is k?
0, 1, 4
Let h(z) be the third derivative of 1/35*z**7 + 1/336*z**8 + 2/3*z**4 + 1/120*z**6 + 23*z**2 + 0*z + 0*z**3 - 2/5*z**5 + 0. Factor h(u).
u*(u - 1)**2*(u + 4)**2
Let o = -5 - -7. Let f be (o + -4)/((-3)/9). Factor -f*i**3 - i**5 - 2*i**5 - 2*i**4 - 7*i**4.
-3*i**3*(i + 1)*(i + 2)
Let z(m) be the second derivative of -m**6/210 - 13*m**5/140 - 11*m**4/28 - 31*m**3/42 - 5*m**2/7 - 200*m. Factor z(k).
-(k + 1)**3*(k + 10)/7
Let g be (-63)/35 - 594/(-180). Solve g*j - 9/8*j**4 - 21/4*j**2 + 3 - 39/8*j**3 = 0.
-2, -1, 2/3
Let c(b) = -4*b**3 - 36*b**2 + 3*b + 27. Let v be c(-9). Let y(j) be the second derivative of 1/15*j**4 + 0*j**2 + v + 0*j**3 + 4*j. Let y(u) = 0. What is u?
0
Let 4*h**3 + 8*h**2 + 7 + 20 - 28*h - 20 + 9 = 0. What is h?
-4, 1
Let c(k) be the second derivative of k**5/70 - k**4/6 - 40*k**3/21 - 44*k**2/7 + 61*k. Solve c(i) = 0.
-2, 11
Let c(f) be the second derivative of 3*f**5/20 + f**4/4 - f**3 + 64*f. Suppose c(y) = 0. Calculate y.
-2, 0, 1
Suppose 0 = 7*h - 9*h + 10. Let n be 10/6*6/h. Factor -8*z**2 + 84*z - 6*z**3 + 4*z**4 + 1 + n*z**5 - 76*z - 1.
2*z*(z - 1)**2*(z + 2)**2
Let i(q) be the second derivative of q**5/70 + 2*q**4/21 + 5*q**3/21 + 2*q**2/7 - 97*q - 1. Determine g, given that i(g) = 0.
-2, -1
Let b(a) be the first derivative of -2*a**5 + 25/4*a**4 - 10/3*a**3 - 10 + 0*a**2 + 0*a. Solve b(o) = 0.
0, 1/2, 2
Let a be (-803)/(-876) - (-3)/(9/(-2)). Factor -1/2*m**3 + 2*m - 1 + a*m**4 - 3/4*m**2.
(m - 2)*(m - 1)**2*(m + 2)/4
Let y(c) be the third derivative of -c**6/280 - 3*c**5/140 + 3*c**4/28 + 4*c**3/7 + 451*c**2. Factor y(w).
-3*(w - 2)*(w + 1)*(w + 4)/7
Let p = -2318/357 - -112/17. Let j(a) be the first derivative of 0*a - p*a**3 - 1/7*a**2 - 3. Solve j(u) = 0 for u.
-1, 0
What is i in i**3 - 1 - 35774*i**2 + 35837*i**2 - 2*i**3 - 62*i + 1 = 0?
0, 1, 62
Suppose -206*z = -237*z + 124. Let j(t) be the first derivative of 1/12*t**z + 2/3*t**2 + 0*t - 9 - 4/9*t**3. Factor j(q).
q*(q - 2)**2/3
Suppose 34 - 19 = 5*v. Let b(y) be the second derivative of 2/5*y**5 - 3/2*y**4 + 0 + 2/3*y**v + 0*y**2 + 7*y. Factor b(r).
2*r*(r - 2)*(4*r - 1)
Suppose 10 = 4*j - 2*o, 16*j + 5*o = 13*j - 25. Suppose -y - 2*y = 0. Factor 2/7*s**4 - 2/7*s**2 + 0*s**3 + j*s + y.
2*s**2*(s - 1)*(s + 1)/7
Let k(l) be the first derivative of -l**4/2 + 4*l**3 - 11*l**2 + 12*l + 77. Solve k(n) = 0.
1, 2, 3
Factor 0*b**2 - 8*b**2 + 2 - 4*b**2 - 63*b - 6 - 11.
-3*(b + 5)*(4*b + 1)
Solve -1/2 - 1/4*y**5 + y**4 + 5/4*y - 1/2*y**2 - y**3 = 0.
-1, 1, 2
Let c(j) = 5*j**3 + 141*j**2 + 28*j + 4. Let q be c(-28). Solve 2/7*d**5 + 2/7*d + 4/7 + 4/7*d**q - 8/7*d**2 - 4/7*d**3 = 0.
-2, -1, 1
Let m(l) = l**3 + 13*l**2 - 4*l + 16. Let b be m(-13). Suppose 0 = 13*j - b - 140. Factor -1/2*k**5 - j*k**2 - 8*k - 12*k**3 - 4*k**4 + 0.
-k*(k + 2)**4/2
Factor 18*j**3 + 2*j**4 - 110*j + 37*j**3 - 98*j**2 - 41*j**3.
2*j*(j - 5)*(j + 1)*(j + 11)
Let t(m) be the first derivative of m**5/50 - m**4/60 - 2*m**3/15 + 3*m**2/10 + 9*m + 12. Let n(h) be the first derivative of t(h). Factor n(i).
(i - 1)**2*(2*i + 3)/5
Let v(d) = 14*d**4 + 5*d**3 - 67*d**2 - 72*d + 48. Let h(s) = -29*s**4 - 10*s**3 + 134*s**2 + 144*s - 98. Let p(q) = -6*h(q) - 13*v(q). Factor p(i).
-(i - 3)*(i + 2)**2*(8*i - 3)
What is p in -28/9*p**4 + 16 + 40/3*p - 116/9*p**2 - 2/9*p**5 - 118/9*p**3 = 0?
-6, -2, -1, 1
Let j(u) be the third derivative of 1/105*u**7 + 0*u**3 - 1/2*u**4 + 1/336*u**8 + 0 - 7/120*u**6 - 1/3*u**5 + 0*u + 17*u**2. What is t in j(t) = 0?
-2, -1, 0, 3
Let y = -46 + 121. Let n(q) = -3*q. Let z be n(-1). Factor -140*b + 625 + y*b**2 + 185*b - 420*b - 3*b**3 - 2*b**z.
-5*(b - 5)**3
Let w(s) be the first derivative of -42 - 14*s**2 + 196*s + 1/3*s**3. Determine t so that w(t) = 0.
14
Let j(k) be the first derivative of -k**6/72 - k**5/6 + 17*k**3/3 - 31. Let i(g) be the third derivative of j(g). Factor i(v).
-5*v*(v + 4)
What is a in 14*a**3 + 5/3 + 143/6*a**2 + 23/2*a = 0?
-1, -5/12, -2/7
Let k(m) be the second derivative of -3*m**5/140 + m**3/2 - 9*m**2/7 + m - 315. Find i, given that k(i) = 0.
-3, 1, 2
Let j be 8/(-80) + (14/(-35) - -1). Factor -j - 1/2*d - 1/8*d**2.
-(d + 2)**2/8
Let d(y) = 3*y**2 - 2*y - 4. Let l(h) = 4*h**2 - 2*h - 5. Suppose 5*f + 2*n - 3*n + 24 = 0, f - 4*n = -1. Let q(z) = f*d(z) + 4*l(z). Factor q(j).
j*(j + 2)
Let g(q) = -4*q**2 + 4*q - 3. Let b(m) = -3*m**2 + 3*m. Let r(l) = -3*b(l) + 2*g(l). Determine i so that r(i) = 0.
-2, 3
Let k(c) be the third derivative of c**6/80 + c**5/2 - 21*c**4/16 + 373*c**2. Factor k(q).
3*q*(q - 1)*(q + 21)/2
Let b(s) be the first derivative of s**7/2625 - s**5/250 - s**4/150 - 7*s**2/2 + 6. Let j(p) be the second derivative of b(p). Factor j(l).
2*l*(l - 2)*(l + 1)**2/25
Suppose -810 - 264*u - 4*u**4 - 26*u**2 - 411*u + 9*u**4 - 109*u**2 + 15*u**3 = 0. Calculate u.
-3, 6
Let q be 18 + -20 + (-4)/(-1). Factor -3*i**2 - 3*i**2 + 14*i**3 + q*i**2.
2*i**2*(7*i - 2)
Suppose 0 = 5*h + 9025 - 9030, h - 1 = k. Let v be 0 + (0 - (-8)/3). Factor v*z + k - 2/3*z**2.
-2*z*(z - 4)/3
Let d be (-5280)/720 - (-2 + -2 + -4). Suppose 1/3*n**2 - n + d = 0. Calculate n.
1, 2
Let f be ((-8)/(-20) - 0) + -1*(-18)/255. Factor 22/17*c - 2/17*c**3 + 12/17 + f*c**2.
-2*(c - 6)*(c + 1)**2/17
Let d(r) be the first derivative of r**6/6 + r**5/5 - 23*r**4/4 + 13*r**3 - 9*r**2 + 153. Determine l, given that d(l) = 0.
-6, 0, 1, 3
Suppose 0 = -4*j - j + 15. Factor -f + 8*f**2 - 1 - f**j + 0*f**4 - f**5 - 6*f**2 - f**4 + 3*f**3.
-(f - 1)**2*(f + 1)**3
What is q in -1/2*q**2 + 0 + 1/2*q**4 - 5/8*q**3 + 5/8*q**5 + 0*q = 0?
-1, -4/5, 0, 1
Let d(w) be the first derivative of -1/28*w**4 - 4*w**2 + 1/140*w**5 + 0*w + 1/14*w**3 + 10. Let u(h) be the second derivative of d(h). Factor u(g).
3*(g - 1)**2/7
Let j(x) = 2*x**3 + 5*x**2 - 3*x + 6. Let f be j(-3). Let u be 60/28 - (f/(-21))/(-2). Find b, given that 2/5*b**4 - 8/5*b**u - 8/5*b + 0 + 2/5*b**3 = 0.
-2, -1, 0, 2
Let p = 35845/4 - 8960. Solve 0 - 45/4*a**4 - 5/4*a**5 + 0*a + p*a**3 + 45/4*a**2 = 0.
-9, -1, 0, 1
Let g = 94 - 97. Let v be g/1 - 15/(1*-3). Factor 0 + m - 1/3*m**v.
-m*(m - 3)/3
Let b(z) = z**3 - 25*z**2 + 47*z - 21. Let c be b(23). Let l(x) be the first derivative of 2/5*x**5 + 3/2*x**4 + x**c - 2 + 2*x**3 + 0*x. Factor l(p).
2*p*(p + 1)**3
Let f(v) be the third derivative of 1/300*v**6 + 1/840*v**8 - 1/50*v**5 + 0*v**3 - 1/30*v**4 + 0*v + 0 - 8*v**2 + 1/175*v**7. Solve f(r) = 0 for r.
-2, -1, 0, 1
Let n = 766 - 761. Suppose 200/3*r**3 - 130/3*r**2 + n*r**5 - 110/3*r**4 + 0 + 25/3*r = 0. Calculate r.
0, 1/3, 1, 5
Let n(y) be the se