u**4 - 7/3*u**3 - 17/3*u + a*u**2.
(u - 3)*(u - 2)*(u - 1)**2/3
Let c = -5246 + 5271. Let l(r) be the first derivative of 5/2*r**2 + c + 1/12*r**4 + 25/3*r - r**3. Determine q, given that l(q) = 0.
-1, 5
Let g = -595 + 599. Let b(n) be the first derivative of 5*n**2 - 5/2*n**g + 23 + 0*n - 5/3*n**3 + n**5. Factor b(t).
5*t*(t - 2)*(t - 1)*(t + 1)
Find b, given that -128125 - 8*b**3 - 168860 - 297675*b + 2445*b**2 - 3140 + 3*b**3 + 0*b**3 = 0.
-1, 245
Factor -248*g + 1474 - 4*g**2 - 2457 + 1235.
-4*(g - 1)*(g + 63)
Let q(d) be the first derivative of 5/14*d**4 - 51 + 2/35*d**5 - 17/7*d**2 + 24/7*d - 2/21*d**3. Factor q(t).
2*(t - 1)**2*(t + 3)*(t + 4)/7
Let k = -205 + 79. Let b = -126 - k. Factor 4*v**5 - 4*v**4 + b*v**4 + v**5 - v**4.
5*v**4*(v - 1)
Let r(i) be the first derivative of 2*i**6/7 - 375*i**5/7 - 1791*i**4/7 - 1924*i**3/7 + 960*i**2/7 - 3332. Solve r(k) = 0 for k.
-2, 0, 1/4, 160
Let p(u) be the first derivative of u**5/450 + u**4/30 - 16*u**3/45 + 8*u**2 - 113. Let s(j) be the second derivative of p(j). Factor s(y).
2*(y - 2)*(y + 8)/15
Let d(x) be the first derivative of 19 + 1/6*x**5 + 0*x**3 + 0*x + 21/2*x**2 + 5/12*x**4 + 1/48*x**6. Let b(r) be the second derivative of d(r). Factor b(w).
5*w*(w + 2)**2/2
Let b(y) = -y**3 - 6*y**2 - 3*y + 2. Let g(x) = -6*x**2 - 3*x + 3. Let z be (5*(-9)/60)/((-3)/8). Let o(p) = z*g(p) - 3*b(p). Let o(h) = 0. What is h?
-1, 0
Suppose -2*d - 4*w = 22, -2*d - 25 + 38 = -w. Let s(x) be the third derivative of 0 + 15*x**2 - 5/6*x**4 - 1/30*x**5 + 0*x - 3*x**d. Solve s(g) = 0.
-9, -1
Let g(v) be the second derivative of v**5/10 + 13*v**4/24 - 37*v**3/12 - 5*v**2/2 + 51*v + 2. Factor g(d).
(d - 2)*(d + 5)*(4*d + 1)/2
Suppose 2*j = 3*o, -163*j = -168*j + 4*o. Let u(r) be the third derivative of -18*r**2 + j + 3/220*r**6 + 1/22*r**5 + 1/33*r**3 + 7/132*r**4 + 0*r. Factor u(y).
2*(y + 1)*(3*y + 1)**2/11
Suppose 0*t + 28*t**2 - 20/3*t**3 + 1/3*t**4 + 0 = 0. Calculate t.
0, 6, 14
Let i(v) = -1138*v - 227597. Let g be i(-200). Determine t, given that -39/5*t - 12/5*t**g + 1521/5 - 24*t**2 = 0.
-13/2, 3
Let b(d) be the third derivative of 0*d**4 + d**2 + 0*d + 0*d**3 - 1/200*d**6 + 0*d**5 + 7. Determine u, given that b(u) = 0.
0
Let d(n) = 8*n**3 + 4*n**2 - 7*n - 12. Let j(b) = b**3 + b**2 - 1. Let i(p) = -2*p**2 + 15*p + 23. Let k be i(9). Let l(x) = k*d(x) + 36*j(x). Factor l(u).
4*(u + 1)**2*(u + 3)
Let c be (-441)/153 + (-6)/51. Let i(u) = -u**4 + u**3 + u**2 + 1. Let a(p) = -3*p**4 + 5*p**3 - 2*p**2 - 4*p + 12. Let r(x) = c*a(x) + 12*i(x). Factor r(j).
-3*(j - 2)*(j - 1)*(j + 2)**2
Let l(k) = -k**2 + 1028*k + 46055. Let y be l(-43). Factor 62/5*m - 4 - 2/5*m**4 - 66/5*m**y + 26/5*m**3.
-2*(m - 10)*(m - 1)**3/5
Let j = 307 - 305. Factor -8*p - 54 - p**j + 9*p + 54 + 3*p.
-p*(p - 4)
Let o = -14349 - -114793/8. Find b, given that 0 - 1/8*b**4 - 1/8*b**3 + 1/8*b + o*b**2 = 0.
-1, 0, 1
Let c(f) = -23*f - 11. Let w(g) = -g + 3. Let n(u) = -c(u) - 3*w(u). Let x be n(0). Factor 0 + 1/3*v**x - v.
v*(v - 3)/3
Solve 0*q**4 + 9/5*q**2 - 1/10*q**5 + 0 + 4/5*q + 11/10*q**3 = 0 for q.
-2, -1, 0, 4
Factor 1/3*w**2 + 20164/3 + 284/3*w.
(w + 142)**2/3
Let m(f) = -2*f**3 + f**2 - 2*f + 6. Let o(r) = -17*r**3 - 57*r**2 - 322*r - 312. Let d(j) = 24*m(j) - 3*o(j). Factor d(i).
3*(i + 2)*(i + 3)*(i + 60)
Let s be 5414/(-678)*63/210. Let t = 1/226 - s. Suppose 6/5 + 3/5*y**3 + t*y**2 + 3*y = 0. What is y?
-2, -1
Suppose -62 + 32*p - 1/2*p**2 = 0. Calculate p.
2, 62
Let u be (8 - (-160)/105)/(106/(-14) + 8). Suppose 40/9*w + 2/9*w**2 + u = 0. Calculate w.
-10
Let g = -2631 + 26361/10. Let w = g - 133/30. Factor -w + 7/3*n - n**2.
-(n - 2)*(3*n - 1)/3
Let m(f) be the second derivative of -f**5/80 + 49*f**3/24 - 15*f**2 - 1047*f. Find r, given that m(r) = 0.
-8, 3, 5
Let u = -30461 + 60923/2. Suppose -7/2*b**2 - 8*b - 6 - u*b**3 = 0. Calculate b.
-3, -2
Let u = -53 - -69. Factor u - 6*r**2 - r**2 + 20*r + 12*r**2 - 1.
5*(r + 1)*(r + 3)
Let p(a) be the second derivative of a**8/2520 - a**7/630 - a**6/540 + a**5/90 - 25*a**3/3 + 13*a + 2. Let u(k) be the second derivative of p(k). Factor u(s).
2*s*(s - 2)*(s - 1)*(s + 1)/3
Factor 2048/5 - 76/5*u**3 - 2816/5*u - 1/5*u**5 + 232*u**2 - 26/5*u**4.
-(u - 2)**3*(u + 16)**2/5
Factor -72*d - 288 + 1/2*d**4 + 8*d**3 + 55/2*d**2.
(d - 3)*(d + 3)*(d + 8)**2/2
Let c(r) be the second derivative of r**6/6 + 3*r**5/4 - 125*r**4/4 + 685*r**3/6 - 165*r**2 + 1144*r. Factor c(a).
5*(a - 6)*(a - 1)**2*(a + 11)
Let j(m) be the second derivative of m**6/6 + 15*m**5 + 4495*m**4/12 - 50*m**3 - 2250*m**2 - 1157*m. Factor j(q).
5*(q - 1)*(q + 1)*(q + 30)**2
Let g(x) = -2*x**3 + x + 1. Let h(q) = -q**3 + 55*q**2 - 122*q - 182. Let w(o) = 14*o - 169. Let a be w(12). Let m(k) = a*h(k) - 2*g(k). Factor m(z).
5*(z - 6)**2*(z + 1)
Solve 498*n + 86*n**2 + 79 + 25*n**2 + 266*n**3 + 497 - 263*n**3 = 0.
-32, -3, -2
Let j(i) be the first derivative of 3*i**5/5 + 303*i**4/4 - 205*i**3 + 309*i**2/2 + 1686. Let j(w) = 0. Calculate w.
-103, 0, 1
Suppose -143*v = -149*v + 30. Factor 25*u**4 - 5*u**v - 30*u**3 + 1940*u**2 - 1940*u**2.
-5*u**3*(u - 3)*(u - 2)
Let u(h) be the third derivative of 5*h**5/12 - 635*h**4/24 + 305*h**3/3 + 12*h**2 - 1. What is p in u(p) = 0?
1, 122/5
Let u(a) be the third derivative of -a**7/490 + a**6/56 - a**5/70 - a**4/7 - 1973*a**2 - a. Factor u(k).
-3*k*(k - 4)*(k - 2)*(k + 1)/7
Let q be (-16)/20*5/(-2) + (-335)/1072. Let c(r) be the second derivative of -29/8*r**3 + 0 - 31*r + 15/4*r**2 + q*r**4 - 1/40*r**6 - 21/80*r**5. Factor c(p).
-3*(p - 1)**3*(p + 10)/4
Suppose -254 + 450*r**3 + 4208*r - 144 + 104 + 14 - 15870*r**2 = 0. Calculate r.
2/15, 35
Let i(y) = 4*y**2 - y + 3. Let d(t) = -7*t**2 - 679*t + 1352. Let r(g) = d(g) + 2*i(g). Determine x, given that r(x) = 0.
2, 679
Let b(u) be the second derivative of -u**4/78 + 74*u**3/39 - 213*u**2/13 + 1258*u. Find r such that b(r) = 0.
3, 71
Let f(k) be the third derivative of 0*k - 3*k**2 - 1/56*k**7 - 6 - 1/80*k**5 + 3/80*k**6 + 0*k**3 + 0*k**4. Suppose f(d) = 0. Calculate d.
0, 1/5, 1
Let t(y) be the third derivative of 1/120*y**5 - 1/1200*y**6 + 0*y + 0 - 132*y**2 - 1/5*y**3 + 1/30*y**4. Factor t(g).
-(g - 6)*(g - 1)*(g + 2)/10
Let s(j) = -13*j**2 - 1749*j - 3. Let z(d) = 81*d**2 + 10493*d + 19. Let f(h) = -19*s(h) - 3*z(h). Factor f(g).
4*g*(g + 438)
What is a in -24/5*a**2 - 11/10 + 2/5*a**3 + 9/2*a = 0?
1/2, 11
Suppose -5*d - 50 = 0, -4*r = -338*d + 333*d - 50. Let -8/15 - 2/5*l**3 + r*l + 14/15*l**2 = 0. Calculate l.
-2/3, 1, 2
Suppose 3*c - 34 = 4*r - 54, -r + 5*c + 22 = 0. Suppose -7*d**2 - 17*d**r - 93*d + 40 + 47 - 177 = 0. Calculate d.
-2, -15/8
Suppose -6*f - 42 = 0, -3*n + 0*f + 2*f + 35 = -3*f. Suppose 3/8*o**5 + 0 - 57/8*o**3 + 15/4*o**2 + n*o + 3*o**4 = 0. What is o?
-10, 0, 1
Let g be (-19 - -15)/(8/2). Let s be (-6)/(g/((-4)/(-8))). Factor -8/3 + 2/3*y**4 + 2*y**2 + 8/3*y**s - 8/3*y.
2*(y - 1)*(y + 1)*(y + 2)**2/3
Factor 53*h**2 - 3960500 - 8*h**2 - 50*h**2 - 8900*h.
-5*(h + 890)**2
Let r be (-2)/(11 - 341/22). Suppose 392/9*g + 1372/3 - 8*g**3 - r*g**4 - 112/3*g**2 = 0. Calculate g.
-7, 3
Let g(p) be the second derivative of -p**6/20 + 33*p**5/8 - 253*p**4/8 + 141*p**3/4 + 675*p**2/2 - 746*p. Find u such that g(u) = 0.
-1, 3, 50
Let s(i) be the second derivative of -i**6/10 + 6*i**5 + 41*i**4/4 - 24*i + 4. Suppose s(m) = 0. What is m?
-1, 0, 41
Let x = 277 - 272. Find a such that 3*a**4 + 1959*a - a**x + 3*a**2 - a**3 - 6*a**2 - 1957*a = 0.
-1, 0, 1, 2
Suppose 9 = g + 3*g - p, 5*g + p = 9. Suppose -2*a = -4*m - 4*a + 6, -3*m - a = -3. Determine h so that -1/4*h**5 + 8*h**g + m - 6*h**3 + 2*h**4 - 4*h = 0.
0, 2
Let l = -90 - -88. Let s(c) = -9*c + 6. Let f be s(l). Let 20*d**2 + f*d + 3 + 37*d**2 - d**2 - 8*d**2 = 0. Calculate d.
-1/4
Let r be 134/(-12) - 67/((-2412)/504). Factor 1 - 1/2*f**2 - r*f.
-(f + 6)*(3*f - 1)/6
Let n(i) be the second derivative of i**5/50 - 2*i**4/3 + 20*i**3/3 - 2316*i. Suppose n(z) = 0. What is z?
0, 10
Let k be 22/187*((2 - 2)/(-3) + 17). Solve 6/5*f**2 + 0*f + 0 + 2/5*f**4 + 2/5*f**5 - k*f**3 = 0.
-3, 0, 1
Let y(c) = -40*c**3 - 82*c**2 + 34*c. Let b(q) = 40*q**3 + 87*q**2 - 34*q - 1. Let n(d) = -8*b(d) - 10*y(d). Suppose n(f) = 0. What is f?
-2, 1/5, 1/4
Let g(x) be the second derivative of x