ve of p**4/72 - 91*p**3/18 + 181*p**2/12 + 2226*p. Solve o(y) = 0.
1, 181
Let h be (-3)/(-5) - (-1173)/345. Factor -18*p**2 + 0*p**2 + 25*p**2 + 3*p - 4 - 2*p**2 + p**3 - p**h - 4*p**3.
-(p - 1)**2*(p + 1)*(p + 4)
Let o = -385239/4 - -96310. Factor -o*r**3 - 3/2*r**2 - 2 - 3*r.
-(r + 2)**3/4
Let s(z) = -25*z - 572. Let m be s(-23). Let k(x) be the third derivative of -1/140*x**5 + 0*x**m + 1/28*x**4 + 0 + 0*x + 9*x**2. Factor k(h).
-3*h*(h - 2)/7
Let v(b) be the first derivative of -23*b**4/22 + 68*b**3/33 + b**2/11 - 24*b/11 + 2614. Solve v(z) = 0.
-12/23, 1
Solve 42432/7*s**3 + 4/7*s**5 - 820/7*s**4 + 0*s - 41616/7*s**2 + 0 = 0 for s.
0, 1, 102
Let u(w) be the third derivative of w**7/42 + 47*w**6/12 + 851*w**5/4 + 10105*w**4/3 + 73960*w**3/3 - 791*w**2. Factor u(t).
5*(t + 4)**2*(t + 43)**2
Suppose z - 3 = n + 2, 11 = 3*z - n. Let b(j) be the second derivative of 0*j**2 - 1/15*j**5 + 0*j**z + 2/9*j**4 + 0 - 19*j. Factor b(a).
-4*a**2*(a - 2)/3
Let n(x) be the first derivative of 16*x - 60*x**2 + 84*x**3 - 49 - 49/2*x**4. Factor n(q).
-2*(q - 2)*(7*q - 2)**2
Let w(p) be the first derivative of 1/6*p**3 - 3/8*p - 146 - 1/8*p**2 - 1/40*p**5 + 1/16*p**4. Factor w(z).
-(z - 3)*(z - 1)*(z + 1)**2/8
Factor 3830/11*b - 348 - 2/11*b**2.
-2*(b - 1914)*(b - 1)/11
Let j(w) be the first derivative of -34/5*w**3 - 21*w**2 + 1/10*w**4 - 106/5*w + 116. Solve j(v) = 0.
-1, 53
Let z(g) be the first derivative of g**3/33 - 401*g**2/11 + 160801*g/11 + 12422. Factor z(w).
(w - 401)**2/11
Let q(c) = 9*c**5 - 174*c**4 - 231*c**3 - 66*c**2 - 36. Let g(v) = -v**4 + v**3 - v**2 - 6. Let y(s) = 6*g(s) - q(s). Let y(d) = 0. Calculate d.
-1, -1/3, 0, 20
Let t = -159 - -163. Factor 31*m + 3*m - t*m**3 - 22*m - 2*m**4 + 10*m**2.
-2*m*(m - 2)*(m + 1)*(m + 3)
Let a = 10206/13 - 50926/65. Let k(l) be the second derivative of a*l**3 + 4*l**2 + 1/50*l**5 + 0 - 8*l + 3/10*l**4. Factor k(d).
2*(d + 2)**2*(d + 5)/5
Let b(m) be the second derivative of -1/10*m**6 + 0*m**3 + 6/5*m**5 - 15/4*m**4 + 26 + 0*m**2 - 2*m. Factor b(i).
-3*i**2*(i - 5)*(i - 3)
Let b(o) = -2*o**3 + 7*o**2 + 10*o - 22. Let q be b(4). Determine a so that 1/5*a**q + 121/5 - 22/5*a = 0.
11
What is y in y**3 - 12243*y**2 + 2*y**4 - 33*y**3 + 12403*y**2 - 256*y = 0?
0, 4, 8
Let x = -20584022/9 + 2298585. Factor 117649/9*c**5 + x*c**4 + 0 - 4606/3*c**3 - 8/9*c + 580/9*c**2.
c*(c + 1)*(49*c - 2)**3/9
Let l be ((-5)/(-12))/((-900)/(-1080))*0. Let v(a) be the second derivative of l + 5/7*a**4 + 250/7*a**2 + 48*a + 1/35*a**5 + 50/7*a**3. Factor v(x).
4*(x + 5)**3/7
Suppose 14*n - 197 = -127. Suppose n*w - 7*y + 10*y = 22, 4*w - 16 = -2*y. Factor 3/4 - a + 1/4*a**w.
(a - 3)*(a - 1)/4
Let z(x) be the second derivative of x**4/24 - 7*x**3/6 - 30*x**2 - 551*x. Factor z(l).
(l - 20)*(l + 6)/2
Let o = 52364 - 261819/5. Solve -3 + o*b**3 + 23/5*b - 9/5*b**2 = 0 for b.
1, 3, 5
Let h(l) be the third derivative of -l**6/30 + 148*l**5/5 - 8360*l**4 + 387200*l**3/3 - 271*l**2 + 3*l + 2. Let h(a) = 0. Calculate a.
4, 220
Solve 20*a - 130*a**4 + 735*a**2 - 138*a**3 + 85*a**3 - 605*a**4 - 152*a**3 + 185*a**5 = 0 for a.
-1, -1/37, 0, 1, 4
Let z(i) = -i**3 + i**2 + i - 1. Let g(d) = 4*d**2 - 93*d + 21. Let m be g(23). Let r(x) = 3*x**3 + x**2 + 2. Let o(p) = m*z(p) - r(p). Factor o(w).
-w*(w + 1)*(w + 2)
Let j = -1062 - -328. Let g = 734 + j. Let 6*t + 3/2*t**2 + g = 0. Calculate t.
-4, 0
Let i(z) be the third derivative of 0*z + 25/12*z**4 - 1/10*z**5 - 8/3*z**3 - 3 + 9*z**2. What is f in i(f) = 0?
1/3, 8
Factor 790/11 + 2/11*p**2 - 168/11*p.
2*(p - 79)*(p - 5)/11
Let n(q) be the first derivative of q**3/12 - 513*q**2 + 1052676*q - 1302. Factor n(y).
(y - 2052)**2/4
Let o be 1*-1 + (-18576)/(-23320). Let k = -2/583 - o. Determine a so that -k*a**2 - 4/5*a - 4/5 = 0.
-2
Let b be (4/(-13))/((-96)/(-52) - 2). Find r, given that 3*r**b + r**2 - 7093 + 344*r + 14489 = 0.
-43
Let u = -295 + 290. Let r be (9/(225/(-20)))/(3 + u). Find t, given that 2/5*t + r*t**2 - 4/5 = 0.
-2, 1
Let w(q) be the second derivative of 1002001*q**4/60 - 2002*q**3/15 + 2*q**2/5 + 932*q. Factor w(r).
(1001*r - 2)**2/5
Let x(b) be the second derivative of -5*b**6/14 - 93*b**5/14 - 141*b**4/28 + 2542*b**3/7 - 10086*b**2/7 - 631*b. Factor x(p).
-3*(p - 2)**2*(5*p + 41)**2/7
Let a(f) be the first derivative of 1/5*f**5 + 5/4*f**4 - 16*f - 72 - 10*f**2 + 0*f**3. Suppose a(p) = 0. Calculate p.
-4, -2, -1, 2
Let u(c) = -442*c - 80000. Let z be u(-181). Determine k so that 1/9*k**4 - 8/9*k + 0*k**3 - 1/3 - 2/3*k**z = 0.
-1, 3
Let k be (-30)/(-4) + (-30)/60 + (-42)/10. Let 12/5*z - k*z**2 - 24/5*z**3 + 0 + 6/5*z**4 + 4/5*z**5 = 0. What is z?
-3, -1, 0, 1/2, 2
Let l = -219 + 221. Factor -9*x + 4 - 3*x**2 - 7 + x**3 - l.
(x - 5)*(x + 1)**2
Let g be -1 + 3 + 21/((-840)/(-16)). Solve -2/5*p**4 - 16/5 + 2/5*p**3 + g*p**2 - 8/5*p = 0.
-2, -1, 2
Let j(s) be the third derivative of -1/2184*s**8 + 1/78*s**5 + 0*s + 0*s**3 - 1/273*s**7 - 1/156*s**6 - 74*s**2 + 1/26*s**4 + 0. Find i such that j(i) = 0.
-3, -2, -1, 0, 1
Let f(s) be the second derivative of -s**6/105 + 3*s**5/7 - 23*s**4/14 - 2432*s**3/21 - 4332*s**2/7 - 2*s - 2613. Determine u, given that f(u) = 0.
-6, -2, 19
Let f(u) = u**5 + 18*u**4 + 29*u**3 + 34*u**2 + 23*u + 1. Let i(j) = 2*j**4 + j**3 - 1. Let a(o) = f(o) - 5*i(o). Factor a(z).
(z + 1)**3*(z + 2)*(z + 3)
Factor -5/2*g - 23/2*g**3 + 31/2*g**2 + 3/2*g**4 - 3.
(g - 6)*(g - 1)**2*(3*g + 1)/2
Let l(g) be the first derivative of -15*g**3/4 - 29*g**2/8 - g - 325. Factor l(y).
-(5*y + 1)*(9*y + 4)/4
Let y(d) be the first derivative of 2*d + 58 + 1/24*d**3 - 17/16*d**2. What is w in y(w) = 0?
1, 16
Let n(d) = 172*d - 1152. Let w be n(7). Let h(t) be the first derivative of 96*t**2 - 36/5*t**5 + 16 + w*t**4 + 64*t - 128*t**3. Factor h(z).
-4*(z - 2)**3*(9*z + 2)
Let j(d) be the second derivative of -13*d**5/20 + 25*d**4/12 - 11*d**3/6 - d**2/2 + d - 15. What is t in j(t) = 0?
-1/13, 1
Let i(j) = j**2 - 36*j - 115. Suppose -2*c - g + 82 = 0, c - 3*g = 11 + 16. Let b be i(c). Factor -3/5*l + 0 - 1/5*l**b.
-l*(l + 3)/5
Let t(l) be the third derivative of -1/63*l**7 + 1/504*l**8 + 0*l + 1/18*l**4 + 18*l**2 + 1/20*l**6 + 0 - 7/90*l**5 + 0*l**3. Let t(n) = 0. What is n?
0, 1, 2
Let l(n) = -n**3 + 4*n**2 - n - 3. Let y be l(3). Suppose 3*z - y = 0, 3*z - 15 = -3*u + 15. Let g**3 - 13 + g**4 + u + 4 = 0. Calculate g.
-1, 0
Let n(x) be the second derivative of 2*x**6/45 - 19*x**5/15 + 19*x**4/3 + 638*x**3/9 + 484*x**2/3 - 2*x + 293. Let n(j) = 0. Calculate j.
-2, -1, 11
Suppose -10 = -t - u, 0 = -5*t + t + 3*u + 5. Let v = t + -2. Factor 1 - 49*q**3 - 1 + 4*q + 45*q**v.
-4*q*(q - 1)*(q + 1)
Let y = 38231/10 - 3823. Let d(w) be the second derivative of 8*w + 2/3*w**3 + 0*w**2 + 1/6*w**4 + 0 - y*w**5. Factor d(o).
-2*o*(o - 2)*(o + 1)
Let y(j) be the first derivative of -j**5/10 + j**4/2 - j**3/3 - j**2 + 3*j/2 + 438. Let y(k) = 0. What is k?
-1, 1, 3
Suppose -5*l = 2*s - 56, -l + 4*s - 464 = -484. What is z in 21/2 + 3/2*z**2 - l*z = 0?
1, 7
Suppose 228*y**3 + 542 - 25*y - 109*y**3 - 114*y**3 - 167 - 35*y**2 = 0. Calculate y.
-3, 5
Let l(z) be the third derivative of z**5/80 + 31*z**4/32 + 21*z**3/2 - 28*z**2 + 9. Factor l(p).
3*(p + 3)*(p + 28)/4
Factor 2*v**4 + 25*v**3 + 789317*v - 789302*v - 7*v**4 - 35*v**2.
-5*v*(v - 3)*(v - 1)**2
Let x(s) be the first derivative of 7/8*s**4 - 11/6*s**3 + 5/4*s**2 + 87 + 0*s - 1/10*s**5. Solve x(m) = 0.
0, 1, 5
Let z(l) = 3*l. Let v(i) = 2*i**3 + 284*i**2 + 10369*i + 19600. Let y(d) = -v(d) + 3*z(d). Find a such that y(a) = 0.
-70, -2
Let s(r) be the second derivative of -r**7/1680 + 7*r**6/480 + 9*r**5/40 + 3*r**4/2 - 5*r - 8. Let y(x) be the third derivative of s(x). Factor y(i).
-3*(i - 9)*(i + 2)/2
Suppose -106*d + 108*d = 480. Factor -200*b - d + 10*b**3 + 65*b**2 + 6*b**3 - 5*b**4 + 4*b**3.
-5*(b - 4)**2*(b + 1)*(b + 3)
Let p(c) be the second derivative of c**6/180 + 9*c**5/40 + 43*c**4/72 - 19*c**3/4 + 25*c**2/3 - 5293*c. Solve p(j) = 0.
-25, -4, 1
Factor -470 - 1661/2*y**2 - 1882*y - 7/2*y**3.
-(y + 2)*(y + 235)*(7*y + 2)/2
Determine k, given that 4/3*k**3 + 480*k - 1444/3*k**2 + 0 = 0.
0, 1, 360
Suppose t - z - 1 = 1, 2*t - 5*z = -5. Suppose -4*s + t*s + 4 = 0, 3*o - 21 = 3*s. Factor 2*b**3 - 6 + o*b**4 - 2*b**5 + 3*b**5 + 6.
