 = -1900 - -15203/8. Factor t*q**2 + 1/8*q + 1/8*q**4 + 0 + 3/8*q**3.
q*(q + 1)**3/8
Let l(k) be the first derivative of 2*k**5/55 + 15*k**4/11 + 262*k**3/33 + 150*k**2/11 + 82. Let l(f) = 0. Calculate f.
-25, -3, -2, 0
Let k(l) = 9*l**2 - 738*l. Let n be k(82). Factor n*i + 24/5*i**4 - 6/5*i**3 + 0 - 14/5*i**5 - 4/5*i**2.
-2*i**2*(i - 1)**2*(7*i + 2)/5
Let g = 539/118 + -4/59. Let q = 63/2 - 30. Determine x, given that q*x**2 + 3 + g*x = 0.
-2, -1
Let 24 + 17 - 15715*k - 10*k**2 + 11 + 15841*k = 0. Calculate k.
-2/5, 13
Factor 27636*l + 4/3*l**3 + 388*l**2 - 86436.
4*(l - 3)*(l + 147)**2/3
Factor -162*x + 0*x + 64*x + 272 + 17*x**3 + 12*x**2 - x**4 - 122*x.
-(x - 17)*(x - 2)**2*(x + 4)
Let o(z) be the third derivative of z**8/26880 + z**7/2240 - z**6/240 + z**5/60 + 5*z**4/3 + 84*z**2. Let h(v) be the third derivative of o(v). Factor h(n).
3*(n - 1)*(n + 4)/4
Let i(z) be the third derivative of -2/255*z**5 - 1/102*z**4 + 1/17*z**3 + 53*z**2 + 1/1785*z**7 + 1/510*z**6 + 0*z + 0. Solve i(d) = 0.
-3, -1, 1
Let x(j) be the second derivative of 1 - 5/3*j**4 - 22*j - 5/6*j**3 + 10*j**2 + 1/4*j**5. Factor x(s).
5*(s - 4)*(s - 1)*(s + 1)
Let w(u) be the second derivative of u**5/10 + u**4 - 32*u**2 + 435*u + 1. Factor w(z).
2*(z - 2)*(z + 4)**2
Let q(d) = -6*d**4 + 72*d**3 - 46*d**2 - 2594*d - 5180. Let l(h) = 13*h**4 - 144*h**3 + 97*h**2 + 5189*h + 10358. Let n(r) = 2*l(r) + 5*q(r). Factor n(j).
-4*(j - 12)**2*(j + 3)**2
Let m(y) be the third derivative of y**8/168 + 2*y**7/15 + 6*y**6/5 + 16*y**5/3 + 32*y**4/3 + y**2 + 840*y + 2. Factor m(h).
2*h*(h + 2)*(h + 4)**3
Determine z, given that 19*z**5 - 99*z**3 + 349*z**2 - 55*z**4 - 56*z**3 + 90 + z**5 - 84*z**2 + 435*z = 0.
-2, -1, -1/4, 3
Let v be ((-12)/21)/(2*(-1)/7). Suppose 24 = 2*u - 5*l, -2*u - 3*u - 3*l - v = 0. Suppose -52*b - 28*b**3 - 2 + 4*b**4 + 2 + 60*b**u + 3 + 13 = 0. What is b?
1, 4
Factor 0 + 2/3*l**3 - 94/3*l - 92/3*l**2.
2*l*(l - 47)*(l + 1)/3
Let x(y) be the third derivative of -1/945*y**7 - 8/135*y**5 + 2/135*y**6 + 0*y**3 + 0*y**4 + 0*y + 81*y**2 + 0. Factor x(a).
-2*a**2*(a - 4)**2/9
Let s be (2 - -1)*304/24. Let n be 4/s - (-140)/475. Factor -n*x**3 - 2/5*x**4 + 0 + 4/5*x**2 + 0*x.
-2*x**2*(x - 1)*(x + 2)/5
Let w be (-4 - (-3312)/(-96))*48/(-198). Suppose -36*n**2 + 0 - 16/3*n**3 + w*n = 0. Calculate n.
-7, 0, 1/4
Let w(v) be the third derivative of v**5/210 + 17*v**4/84 + 10*v**3/3 + 418*v**2 - 8*v. Factor w(f).
2*(f + 7)*(f + 10)/7
Suppose -3*q**4 - 1042*q**3 + 3*q**2 + 523*q**3 - 6*q + 525*q**3 = 0. What is q?
-1, 0, 1, 2
Let t be 7 + -4*(-4038)/(-12). Let j = -1337 - t. Factor 15/2*q**j + 0*q + 0 + 3/4*q**3.
3*q**2*(q + 10)/4
Factor -3/8*w**2 + 261/8*w - 729/4.
-3*(w - 81)*(w - 6)/8
Suppose -39*n - 62 - 100*n**2 + 24 + 99*n**2 = 0. What is n?
-38, -1
Suppose 365 = 4*v - 3*u, 5*u + 224 = 3*v - 47. Let f be 1*-7 + (102 - v). Let 3/5*p - 3/5*p**f + 0 - 3/5*p**4 + 3/5*p**2 = 0. What is p?
-1, 0, 1
Factor 123/5*z + 3/5*z**2 - 126/5.
3*(z - 1)*(z + 42)/5
Let p(h) = 3131*h + 6265. Let w be p(-2). Factor 11/5*j - 1/5*j**w - 2*j**2 + 0.
-j*(j - 1)*(j + 11)/5
Let u be 0 - -2 - -12*6/24. Suppose 4*w + w = 3*f + 6, -4*f = -u*w + 8. Factor -c**3 + w - 6/5*c**2 + 0*c - 1/5*c**4.
-c**2*(c + 2)*(c + 3)/5
Let i(a) = 5*a**2 - 33*a + 84. Let l(g) = 3*g + 33. Let j be l(-8). Let z(s) = 21*s**2 - 132*s + 336. Let r(b) = j*i(b) - 2*z(b). Solve r(x) = 0 for x.
4, 7
Let p(q) = -2*q**3 - 170*q**2 + 346*q - 182. Let c(l) = 4. Let f(v) = 2*c(v) + p(v). Factor f(o).
-2*(o - 1)**2*(o + 87)
Let t be (-33)/(-132) - (-406)/8. Suppose 0 = -9*k - 15 + t. Determine w, given that -k*w - 4/3*w**3 + 16/3*w**2 + 0 = 0.
0, 1, 3
Let d be -540 - (1 - (-1 + -5 + 7)). Let s = d + 542. Let -2 - 4/3*c + 2/3*c**s = 0. What is c?
-1, 3
Let t(p) be the first derivative of -p**6/8 + 15*p**5 + 117*p**4 + 631*p**3/2 + 3171*p**2/8 + 477*p/2 - 3255. Suppose t(z) = 0. Calculate z.
-3, -1, 106
Determine i, given that -2/5*i**4 + 686/5 - 252/5*i**2 - 392/5*i - 8*i**3 = 0.
-7, 1
Suppose -141*p**3 + 88*p + 116*p**5 + 49*p**3 + 84*p**4 - 112*p**5 - 84*p**2 = 0. Calculate p.
-22, -1, 0, 1
Let j = -28353/10 + 14199/5. Factor 3/2*h + j - 9/2*h**2 - 3/2*h**3.
-3*(h - 1)*(h + 1)*(h + 3)/2
Let h be (230/(-40) - -17)*(-20)/(-90). Find g, given that 19/2*g**2 - 11/2*g - h*g**3 - 3/2 = 0.
-1/5, 1, 3
Let p(q) = q**3 + q**2 + 2*q - 1. Let m(b) = -11*b**3 - 36*b**2 - 57*b + 6. Suppose 0 = -198*y + 197*y - 1. Let f(a) = y*m(a) - 6*p(a). Factor f(l).
5*l*(l + 3)**2
Let w(t) be the third derivative of -t**5/150 + 527*t**4/30 - 277729*t**3/15 - t**2 + 1256. Factor w(p).
-2*(p - 527)**2/5
Factor 12*a**3 + 4*a**4 + 19*a**2 + 11*a**3 - 6*a**3 - 7*a**2 - a**3.
4*a**2*(a + 1)*(a + 3)
Let w = -7/1380 + 1/46. Let d(b) be the third derivative of w*b**5 + 0*b + 0*b**4 + 0*b**3 - 7/240*b**6 + 1/84*b**7 + 0 + 4*b**2. Factor d(j).
j**2*(j - 1)*(5*j - 2)/2
Let t(p) be the third derivative of p**5/160 + 21*p**4/32 - 25*p**3 + 5*p**2 - 117*p. Factor t(x).
3*(x - 8)*(x + 50)/8
Let p(o) = -84*o - 2 - 17*o**2 + 89*o + 15*o**2 - o**3 + 11. Let w be p(-3). Determine j, given that 0 - 9*j**w + 12*j - 39/2*j**4 + 15/2*j**5 + 30*j**2 = 0.
-1, -2/5, 0, 2
Let i(f) be the first derivative of -27/8*f**2 - 27/8*f - 1/40*f**5 - 5/16*f**4 - 2 - 3/2*f**3. What is l in i(l) = 0?
-3, -1
Let i(v) = -2*v**3 + 2*v**2 + 5*v + 4. Let f be i(-1). Let -335*a + 105*a**2 - 234*a**f + 569*a**3 + 15*a**4 + 10*a**4 - 130 = 0. What is a?
-13, -1, -2/5, 1
Let i(h) be the first derivative of -h**4/16 - 193*h**3/12 - 9595*h**2/8 - 27075*h/4 - 201. Factor i(s).
-(s + 3)*(s + 95)**2/4
Let d(y) = -y**2 - 16*y + 48. Let i be d(-18). Factor 15*v**2 - 20*v**3 + 10 + 44*v + i*v - 11*v.
-5*(v - 2)*(v + 1)*(4*v + 1)
Let y(h) = -223*h - h**3 - 219*h + 443*h. Let k(r) = 3*r**4 - 24*r**3 - 81*r**2 - 84*r - 30. Let d(v) = k(v) - 3*y(v). Suppose d(t) = 0. What is t?
-1, 10
Let u(b) be the second derivative of -b**5/630 + 5*b**4/126 - 25*b**3/63 + 4*b**2 - 49*b - 1. Let o(t) be the first derivative of u(t). Factor o(r).
-2*(r - 5)**2/21
Factor -z**2 + 0*z**2 - 14*z - 383 + 762 - 307.
-(z - 4)*(z + 18)
Solve 0 + 90/11*u**3 + 0*u - 92/11*u**4 + 0*u**2 + 2/11*u**5 = 0.
0, 1, 45
Suppose -86 = 5*u + 4*p, -48*u + 49*u - 4*p = -22. Let b be (-24)/(-55)*(-30)/u. Solve -b*t + 2/11*t**2 + 0 = 0 for t.
0, 4
Suppose 11 + 29 = -w. Let v be ((-30)/w)/(21/4) + 0. Factor v*d**2 + 0 + 4/7*d.
d*(d + 4)/7
Let s = -52536 + 367755/7. Factor 6*d**3 + 39/7*d**2 - s*d + 0.
3*d*(d + 1)*(14*d - 1)/7
Let b(l) be the second derivative of l**7/1680 + 3*l**6/80 + 81*l**5/80 - 43*l**4/12 + l**3/3 + 30*l - 1. Let i(k) be the third derivative of b(k). Factor i(w).
3*(w + 9)**2/2
Let p(i) be the first derivative of 3*i**5/5 - 3*i**4 + 3*i**3 - 6161. Factor p(y).
3*y**2*(y - 3)*(y - 1)
Let y(q) be the third derivative of q**5/15 - 15*q**4 + 1350*q**3 + 17*q**2 + 9*q. Solve y(a) = 0 for a.
45
Let l(t) = t**3 + 9*t**2 + 8*t. Suppose 45 = -8*u - 19. Let g be l(u). Solve z**3 + g*z**3 + z**2 - 18 + 18 = 0 for z.
-1, 0
Let r = -62663/2 - -438645/14. Let z = 3 + 0. Factor r*u**z + 4/7*u**2 - 2/7*u - 1/7*u**4 - 3/7.
-(u - 3)*(u - 1)*(u + 1)**2/7
Let r be (4*104/(-64) - -3)*(-76)/399. Factor -r*h**3 + 0 - 2*h**2 + 0*h.
-2*h**2*(h + 3)/3
Let c(f) = 2*f**2 + 2*f + 1. Let u(l) = -18*l**2 + 2*l + 26. Let s(t) = -10*c(t) - u(t). Solve s(z) = 0 for z.
-9, -2
Let k = 92/7 - 82/7. Let w be (-63 + 61)/(14/(-4)). Factor k*p**2 - 18/7*p - w.
2*(p - 2)*(5*p + 1)/7
Let c be 3 + (-4)/12 + 1852/1389. Suppose -6/11 - 12/11*n**2 + 2/11*n**c + 0*n**3 + 16/11*n = 0. Calculate n.
-3, 1
Let z(q) be the first derivative of q**5/12 + 5*q**4/6 + 10*q**3/3 - q**2/2 - 2*q + 35. Let b(h) be the second derivative of z(h). Factor b(w).
5*(w + 2)**2
Factor -3/5*h**3 - 6/5*h + 3*h**2 - 24/5.
-3*(h - 4)*(h - 2)*(h + 1)/5
Let p(d) be the second derivative of d**4/36 + d**3 - 60*d**2 - 4108*d. Factor p(z).
(z - 12)*(z + 30)/3
Let c(r) be the third derivative of 7/390*r**5 + 0 + 0*r**4 + 1/780*r**6 + 0*r + 39*r**2 + 0*r**3. Factor c(f).
2*f**2*(f + 7)/13
Solve 9149*w**5 + 496*w**2 + 110*w**3 - 9144*w**5 + 45*w - 616*w**2 - 40*w**4 = 0 for w.
0, 1, 3
Let i = -463/1770 + 64/177. Let g(y) be the second derivative of i*y**3 + 1/10*y**2 + 0 + 1/100*y**5 + 1/20*y**4 - 17*y. Solve g(l) = 