 0*u - 1/270*u**5 + 1/9*u**3 + b. Find t such that l(t) = 0.
-3, 1
Let x be (247/41 + -5)*-2 + 2. Let a = x + 178/287. Factor 2/7*l**3 - 2/7*l + 4/7*l**2 - a.
2*(l - 1)*(l + 1)*(l + 2)/7
Factor 643*f**2 - 1275*f**2 + 403*f - 152*f + 1084 + 631*f**2 + 289*f.
-(f - 542)*(f + 2)
Let d = 952 - 921. Factor d*f + 33*f - 105*f + 25*f - 4*f**2 - 16 + 0*f**2.
-4*(f + 2)**2
Find u, given that 92740*u - 25*u**3 + 321*u**3 + u**2 - 46574*u + u**2 - 2*u**4 - 46462*u = 0.
-1, 0, 1, 148
Suppose -4*k + 2*a + 590 = 608, -2*a + 18 = 5*k. Let n(z) be the second derivative of k*z**3 - 4*z + 0*z**2 - 1/20*z**5 + 0 - 1/4*z**4. Solve n(d) = 0.
-3, 0
Let x(h) be the second derivative of h**7/1680 - h**6/960 - h**5/80 - 49*h**2/2 + 14*h. Let p(t) be the first derivative of x(t). Factor p(g).
g**2*(g - 3)*(g + 2)/8
Let h(n) = -n**3 + 2*n**2 - n + 1. Let l be (-68)/85 - (-2)/(-10). Let q(r) = r**3 + 103*r**2 + 862*r + 770. Let y(t) = l*q(t) + 2*h(t). Factor y(v).
-3*(v + 1)*(v + 16)**2
Solve -35/3*n - 100/3*n**2 - 30*n**3 + 5/3*n**5 - 20/3*n**4 + 0 = 0.
-1, 0, 7
Let z(i) be the third derivative of i**5/15 + 39*i**4/2 + 228*i**3 + 5161*i**2. Factor z(y).
4*(y + 3)*(y + 114)
Find w, given that 1006/13*w - 1006/13*w**3 - 2022/13*w**2 + 2020/13 + 2/13*w**4 = 0.
-2, -1, 1, 505
Let g(j) = -11*j**4 + 275*j**3 + 1151*j**2 - 5591*j + 9. Let f(r) = 3*r**4 - 65*r**3 - 288*r**2 + 1398*r - 2. Let n(i) = 9*f(i) + 2*g(i). Factor n(k).
5*k*(k - 10)*(k - 4)*(k + 7)
Suppose 5*h - 15 = 0, 3*x = 6*x - 3*h - 528. Factor -1620 + i - 2*i**2 + 3*i**2 + x*i - 6*i**2.
-5*(i - 18)**2
Let o be 828/72 - (-493)/29. Suppose -21/2*b + o*b**2 - 6*b**5 + 3/2 - 75/2*b**3 + 24*b**4 = 0. Calculate b.
1/2, 1
Let u(t) be the third derivative of -t**5/15 + 19*t**4/6 + 28*t**3 + 257*t**2 - 2*t. Solve u(a) = 0.
-2, 21
Let y = -28331 - -169987/6. Let z(i) be the second derivative of -y*i**4 + 0 - 1/20*i**5 + 0*i**2 - 1/6*i**3 + 22*i. Factor z(p).
-p*(p + 1)**2
Let a(o) be the second derivative of 6*o + 2 - 2*o**4 - 13*o**3 + 21/40*o**5 + 12*o**2. Suppose a(k) = 0. Calculate k.
-2, 2/7, 4
Let c = -4 - 143. Let h = c + 147. Factor h - 8/5*m - 2/5*m**3 - 8/5*m**2.
-2*m*(m + 2)**2/5
Let a be ((-1207)/(-1065) + -1)*((-1821)/(-6) + -2). Factor -201/5 - 3/5*n**3 + 3/5*n + a*n**2.
-3*(n - 67)*(n - 1)*(n + 1)/5
Let f(j) be the second derivative of j**5/30 - j**4/6 + 2*j**3/9 + j - 64. Let f(u) = 0. What is u?
0, 1, 2
Let x(j) = 32*j**2 - 109*j + 99. Let v(k) = 51 - 71 + 13*k + 5*k + 4*k - 6*k**2. Let w(i) = 11*v(i) + 2*x(i). Factor w(a).
-2*(a - 11)*(a - 1)
Find c such that -517/5*c**2 + 0 - 8*c**3 - 2178/5*c - 1/5*c**4 = 0.
-18, -11, 0
Let y = 47383 + -47383. Let u(n) be the first derivative of 0*n - 8/9*n**3 - 32 + y*n**2 - 4/45*n**5 - 7/9*n**4. Factor u(j).
-4*j**2*(j + 1)*(j + 6)/9
Let v(w) be the second derivative of 1/2*w**4 - 4/15*w**5 + 22*w + 0*w**3 + 0 + 2*w**2. Let b(o) be the first derivative of v(o). Factor b(l).
-4*l*(4*l - 3)
Let x(d) be the first derivative of -d**6/21 - 2*d**5/35 + 3*d**4/7 + 9511. Find t such that x(t) = 0.
-3, 0, 2
Factor 173056/7 + 169732/7*h**2 + 4/7*h**4 + 344448/7*h - 1656/7*h**3.
4*(h - 208)**2*(h + 1)**2/7
Factor -113*b**3 - 317*b**2 - 4*b**3 + 3*b**4 + 2*b**4 - 310 - 278*b**2 - 18*b**3 - 765*b.
5*(b - 31)*(b + 1)**2*(b + 2)
Let q(z) be the second derivative of z**5/10 - 31*z**4/6 + 104*z**3 - 1008*z**2 - 34*z. Factor q(m).
2*(m - 12)**2*(m - 7)
Let c(a) = -5*a**2 - 28*a + 14. Let f be c(-6). Factor 18*b**3 + 21*b**3 + 128*b**2 - 36*b**2 - 44*b**3 + 43*b**f.
-5*b**2*(b - 27)
Let c(a) be the first derivative of a**7/1120 - a**6/32 + 15*a**5/32 - 125*a**4/32 - 212*a**3/3 + 199. Let f(x) be the third derivative of c(x). Factor f(s).
3*(s - 5)**3/4
Suppose 2*u = 3*l + 4, 268 = 4*l - 5*u + 278. Let p(y) be the second derivative of -8/51*y**3 - 1/102*y**4 + 2*y - 16/17*y**2 + l. Factor p(x).
-2*(x + 4)**2/17
Let k(c) be the second derivative of -c**5/70 - 1249*c**4/42 - 2495*c**3/21 - 1247*c**2/7 - 2*c - 2261. Factor k(q).
-2*(q + 1)**2*(q + 1247)/7
What is s in 0 + 102/5*s**2 + 2/5*s**3 - 324/5*s = 0?
-54, 0, 3
Find o such that -27157*o**3 + 27113*o**3 + 88*o**2 + 42 + 756*o + 3*o**4 + 95 - 22*o**2 + 106 = 0.
-3, -1/3, 9
Suppose 7*d = 134 + 41. Suppose -13 = 6*f - d. What is s in 1/2*s**3 + f*s**2 + 0*s + 0 = 0?
-4, 0
Determine h, given that -20/3*h**3 + 52/9*h**2 + 20/3*h - 56/9 + 4/9*h**4 = 0.
-1, 1, 14
Let r(c) be the first derivative of 1/4*c**3 + 0*c - 72 - 15/4*c**2. Factor r(p).
3*p*(p - 10)/4
Let r(u) be the first derivative of u**5/20 + u**4/6 - u**3/2 - 43*u - 152. Let w(l) be the first derivative of r(l). Determine z so that w(z) = 0.
-3, 0, 1
Let x(b) be the second derivative of -b**5/4 + 125*b**4/12 + 280*b**3/3 + 290*b**2 + 476*b. Suppose x(o) = 0. What is o?
-2, 29
Let w be (-7)/(-441)*(2 - 430)/(-4). Let z = 23/9 - w. Suppose -2/7 - 2/7*h**3 - z*h**2 - 6/7*h = 0. Calculate h.
-1
Let t(y) be the third derivative of y**5/210 - 53*y**4/84 + 28*y**3/3 + 321*y**2 - 4. Factor t(w).
2*(w - 49)*(w - 4)/7
Let g(o) be the first derivative of o**4/4 + 8*o**3 + 45*o**2/2 + 25*o - 252. Let l be g(-22). Solve -26/3*m**2 + 10/3*m**4 - 12*m**l + 16/3 + 12*m = 0 for m.
-1, -2/5, 1, 4
Let r = 3617/1749 + -108/53. Let y(z) be the first derivative of 1/11*z**2 - r*z**3 + 2 - 1/11*z. Let y(q) = 0. What is q?
1
Suppose -g = 2*o + 36 - 7, o - 59 = 3*g. Let h(x) = -x**2 - 25*x - 32. Let z be h(g). Let -20*w**2 + 10 - 106*w + 33*w**2 + 31*w + z*w**2 = 0. Calculate w.
2/13, 1
Let w(n) be the third derivative of -n**6/420 - 2*n**5/15 - 13*n**4/21 + 6081*n**2. Let w(m) = 0. What is m?
-26, -2, 0
Let j = 2 - 4. Let s be (-222)/(-42) + j + 8/(-28). Factor -2/3*d**2 + 8/9 - 4/9*d**s + 8/9*d + 2/9*d**4.
2*(d - 2)**2*(d + 1)**2/9
Suppose 5*i - i + 9 = 3*v, 4*i = 4*v - 12. Let p(m) be the first derivative of -3/5*m**5 + 3/2*m**4 + i*m**3 + 0*m + 2 + 0*m**2. Solve p(r) = 0 for r.
0, 2
Factor z**3 - 411217 - 163*z**2 + 411149 - 236*z + 4*z**3.
(z - 34)*(z + 1)*(5*z + 2)
Let a(b) be the second derivative of 2*b + 0*b**2 + 0*b**3 + 3/2*b**5 - 5/42*b**7 + 0*b**4 - 1/6*b**6 + 24. Factor a(s).
-5*s**3*(s - 2)*(s + 3)
Suppose 3*s = -448 + 544. Let h be (s/80)/((-3)/(-15)). Find d, given that -20/21*d**5 - 22/21*d**4 - 4/21*d + 4/7*d**3 + 10/21*d**h + 0 = 0.
-1, 0, 2/5, 1/2
Let c(g) = 4*g - 5*g**2 + 11 - 8 + g. Let h(l) = 572 - 292 + l - 279. Let t(u) = c(u) - 3*h(u). Solve t(j) = 0 for j.
0, 2/5
Let j(r) be the first derivative of 21 + 47/11*r**2 - 10/33*r**3 - 36/11*r. Determine k, given that j(k) = 0.
2/5, 9
Suppose 8*c = -7*c - 30. Let v be (1 + 0/10)/((-1)/c). Factor 0*a - 1/7*a**v + 0*a**3 + 1/7*a**4 + 0.
a**2*(a - 1)*(a + 1)/7
Let d(w) = -2*w + 38. Let p be d(-8). Solve x**4 + 5 - 10 - p*x**2 + 42*x**2 + 2*x**3 + 14*x = 0 for x.
-5, 1
Suppose -5*f + 15 = -2*f, -t - 2*f = -15. Factor 9*s - t*s**2 + 2*s**2 - 7 + 1.
-3*(s - 2)*(s - 1)
Suppose -3 = -7*y - f, -3*y - 5*f - 2 = -17. Suppose y*h - 9/2*h**2 + 0 + 21/4*h**3 + 15/4*h**5 + 27/2*h**4 = 0. Calculate h.
-3, -1, 0, 2/5
Let -704*v**2 + 553*v**2 + 3305*v**2 - 104 + 360*v**2 + 196*v**3 + 2072*v + 62*v**3 = 0. Calculate v.
-13, -2/3, 2/43
Let v(u) be the second derivative of u**6/180 + u**5/2 + 29*u**4/12 + 43*u**3/9 + 19*u**2/4 + 1356*u. What is a in v(a) = 0?
-57, -1
Suppose 0*k + 110 - 102 = 2*k. Find f such that 2*f**k - 7/2*f + 3/2 - 5/2*f**3 - 19/2*f**2 = 0.
-1, 1/4, 3
What is i in 1186*i**3 - 26160*i + 16*i**2 - i**4 - 145*i**2 + 28800 - 2623*i**2 - 1073*i**3 = 0?
-8, 1, 60
Suppose z - 3*z + 4 = 0. Suppose l + 2*a = 11, z*l - 4*a = 7*l - 49. Factor -b**3 - 3 - l*b**2 + 29*b + 4*b**3 - 20*b.
3*(b - 1)**3
Let r(c) be the first derivative of 0*c - 3*c**5 + 139 + 6*c**2 + 9/4*c**4 + 12*c**3. Suppose r(d) = 0. Calculate d.
-1, -2/5, 0, 2
Let j(d) be the second derivative of 11*d**6/540 + d**5/12 + d**4/9 + 103*d**3/6 + 124*d. Let m(u) be the second derivative of j(u). Factor m(x).
2*(x + 1)*(11*x + 4)/3
Let z(c) be the third derivative of 1/180*c**6 + 0 - 24*c**2 + 0*c + 7/9*c**3 - 1/36*c**4 - 7/90*c**5. Factor z(r).
2*(r - 7)*(r - 1)*(r + 1)/3
Let h(t) be the first derivative of 5*t**9/9072 - t**8/336 + t**6/54 - 74*t**3 + 74. Let g(k) be the third derivative of h(k). Determine b so that g(b) = 0.
-1, 0, 2
Let k = -286 - -280. Let j be 9/k*2*13/(-10