- 14/11*i**3.
-2*(i - 1)**3*(i + 10)/11
Let g(u) = -16*u**2 - 34288*u + 103492. Let k(q) = q**2 + 2286*q - 6900. Let s(y) = 3*g(y) + 44*k(y). Factor s(a).
-4*(a - 3)*(a + 573)
Suppose 361 + 53 = 198*j + 18. Let i(m) be the third derivative of -41*m**j + 0*m - 1/15*m**5 + 0 + 0*m**3 + 1/8*m**4 + 1/120*m**6. Factor i(a).
a*(a - 3)*(a - 1)
Let j(p) be the second derivative of p**4/30 + p**3/3 - 24*p**2/5 + 4*p + 10. Solve j(h) = 0.
-8, 3
Let g = 119831/903120 + 39/60208. What is r in -56/15 - g*r**2 - 32/15*r = 0?
-14, -2
Let u = -52352/7 + 7480. Factor -u*j**2 - 2/7 + 10/7*j.
-2*(j - 1)*(4*j - 1)/7
Let y(z) be the first derivative of 675/7*z**5 + 960/7*z**3 + 16/7*z + 2025/7*z**4 + 56 + 184/7*z**2. Factor y(g).
(g + 2)*(15*g + 2)**3/7
Suppose -5 = 16*j - 17*j. Suppose -5*w - j*w + 20 = 0. Determine l, given that -4*l**4 - 33*l**5 - w*l**2 + 5*l**3 + 19*l**5 + 0*l**2 + 15*l**5 = 0.
0, 1, 2
Let y(r) be the first derivative of 9*r**5/25 + 61*r**4/20 + 17*r**3/3 + 23*r**2/10 - 2*r - 341. Factor y(l).
(l + 1)**2*(l + 5)*(9*l - 2)/5
Let g be 10556/819 + (-13 - -1). Let x(q) be the first derivative of g*q**3 - 8/3*q + 16 + 2*q**2. Factor x(h).
4*(h + 2)*(2*h - 1)/3
Let f be ((5 - 7) + 2 - 0) + 15. Let r be ((-1 - f) + 2)/(-3) + -4. Let -r*q**4 + 1/3*q**5 - 2/3*q**3 - 2/3 + 4/3*q**2 + 1/3*q = 0. Calculate q.
-1, 1, 2
Let i be (18/(-15) + 2)*4530/6342. Determine o, given that -2/7*o + 0 - i*o**2 - 2/7*o**3 = 0.
-1, 0
Let 1060*k**2 - 6580*k**2 - 90*k**4 - 1000*k**3 - 39*k**3 - 13230 - 13923*k - 3*k**5 + 13*k**3 = 0. What is k?
-10, -7, -3
Let w(p) be the first derivative of -5/3*p**3 - 70*p - 75/2*p**2 + 46. Solve w(d) = 0.
-14, -1
Determine k, given that 11*k + 121/2 + 1/2*k**2 = 0.
-11
Let s(d) be the first derivative of 9*d**4 - 64*d**3/3 - 278*d**2 - 120*d + 5406. Determine z so that s(z) = 0.
-3, -2/9, 5
Let g(d) = 1671*d + 36767. Let n be g(-22). Factor 0 - 3/2*i**2 - 1/2*i**3 + n*i.
-i*(i - 2)*(i + 5)/2
Let f(s) be the first derivative of -s**4/2 + 178*s**3/3 - 2184*s**2 + 17640*s + 977. Factor f(n).
-2*(n - 42)**2*(n - 5)
Suppose -27 = -37*f + 84. Suppose r = 3*q - 5, 2*q + 2*r - r - 5 = 0. Solve z**2 + 4*z**4 - 6*z + 4*z**2 + 6*z**f - q*z**2 - 7*z**4 = 0 for z.
-1, 0, 1, 2
Let m be 39/(-14)*19936/(-14952). Determine j so that 4*j - m - 2/7*j**2 = 0.
1, 13
Let u(o) be the second derivative of o**4/96 + 83*o**3/16 - 125*o**2/8 + 8*o - 56. Factor u(l).
(l - 1)*(l + 250)/8
Suppose 10*s - 2310 = 24*s. Let m be (-2439)/s + -5 + 4/(-22). Factor 0 + m*g**3 + 0*g + 32/5*g**2 + 18/5*g**4 + 2/5*g**5.
2*g**2*(g + 1)*(g + 4)**2/5
Let r(o) = 2*o**3 + 35*o**2 + 41*o - 63. Let p(w) = -6*w**3 - 108*w**2 - 124*w + 188. Let d(x) = -3*p(x) - 10*r(x). Factor d(i).
-2*(i - 1)*(i + 3)*(i + 11)
Let k(q) be the second derivative of -q**7/21 - q**6/3 + 3*q**5/5 - 2170*q - 1. Suppose k(w) = 0. Calculate w.
-6, 0, 1
Suppose 4291*u - 2209*u = 2159*u - 154. Let w be (0 - 1/4)*-10. Factor w + 1/2*o**u + 3*o.
(o + 1)*(o + 5)/2
Let i(w) be the second derivative of -w**6/240 + 23*w**5/40 - 1187*w**4/48 + 989*w**3/4 - 16641*w**2/16 + 3768*w. Solve i(q) = 0 for q.
3, 43
What is r in 8/5*r - 18/5*r**3 + 6/5*r**2 + 0 + 4/5*r**4 = 0?
-1/2, 0, 1, 4
Let c(n) = -52*n**2 - 924*n - 1852. Let v(z) = -12*z**2 + z - 3. Let k(j) = c(j) - 4*v(j). Factor k(a).
-4*(a + 2)*(a + 230)
Let u(y) = -12*y**3 + 89*y**2 - 145*y + 71. Suppose 15 = -811*s + 816*s. Let g(r) = 11*r**3 - 87*r**2 + 145*r - 73. Let h(l) = s*g(l) + 4*u(l). Factor h(j).
-5*(j - 1)**2*(3*j - 13)
Let q(j) be the second derivative of j**6/6 + 39*j**5/4 + 185*j**4/12 - 65*j**3/2 - 95*j**2 - 2*j - 576. Find g such that q(g) = 0.
-38, -1, 1
Let a = 612542 - 612538. Let 3/5*z**5 - 2*z**3 + 0 - 8/5*z + a*z**2 - z**4 = 0. Calculate z.
-2, 0, 2/3, 1, 2
Suppose 2*r = 3*s + 830, -2*s + 1260 = 3*r + s. Let l = 418 - r. Factor -2*t**2 - 1/2*t + l.
-t*(4*t + 1)/2
Let x(w) = 5*w**5 - w**4 + w**3 + 2*w**2 + 2. Let g(i) = 14*i**5 - 7*i**4 + 30*i**3 - 32*i**2 + 16*i + 6. Let p(s) = g(s) - 3*x(s). Factor p(m).
-m*(m - 2)*(m - 1)**2*(m + 8)
Let h(a) be the third derivative of 0 - 59*a**2 - 1/12*a**5 + a - 20/3*a**3 + 15/8*a**4. Find r, given that h(r) = 0.
1, 8
Let z = 140 - 69. Suppose -z*c - 18 = -74*c. Solve 6 - 3/2*n**2 - 3/2*n**3 + c*n = 0 for n.
-2, -1, 2
Let y be (0 + 3)/(18/138). Factor 6*n**2 - 5*n**4 - 6*n**4 - y*n**3 + 4*n**5 + 6*n**4.
n**2*(n - 3)*(n + 2)*(4*n - 1)
Let c(d) = 8*d**2 + 47*d - 748. Suppose 16 = -q + 9*q. Let i(f) = -f**2 + f - 4. Let u(j) = q*c(j) + 18*i(j). Determine x, given that u(x) = 0.
28
Let w(j) be the first derivative of 0*j + 4/27*j**3 - 1/36*j**4 - 201 + 0*j**2. Factor w(l).
-l**2*(l - 4)/9
Let t(s) = -11*s**2 - 306*s + 56. Let v be t(-28). Suppose -9 = -4*m + m, -5*a + 17 = -m. What is r in -1/2*r**a + 0*r + v + 0*r**3 + 2*r**2 = 0?
-2, 0, 2
Let a(l) = 107*l**2 - 105*l + 6. Let b(d) = -196*d**2 + 211*d - 11. Let r(s) = 11*a(s) + 6*b(s). Factor r(m).
m*(m + 111)
Let d(n) be the second derivative of -n**2 - 1/18*n**4 - 2*n + 16 - 28/27*n**3. Determine j so that d(j) = 0.
-9, -1/3
Let j(r) = -15*r**2 - 34104*r - 19221348. Let c(z) = -6*z**2 - 13644*z - 7688539. Let t(q) = 12*c(q) - 5*j(q). Factor t(b).
3*(b + 1132)**2
Factor -70/3*s**3 + 109744 - 2/9*s**4 - 2204/3*s**2 - 31768/9*s.
-2*(s - 9)*(s + 38)**3/9
Let u = 591 - 583. Let s be ((-7)/((-49)/u))/(20/70). What is t in 5/2*t**3 + 0 + 1/2*t**5 + 2*t**s + t**2 + 0*t = 0?
-2, -1, 0
Let t = -877 - -882. Let r(w) be the third derivative of 0*w + 0 + 1/240*w**t + 1/1440*w**6 + 0*w**3 + 1/144*w**4 - 12*w**2. Factor r(u).
u*(u + 1)*(u + 2)/12
Let c(y) = -66*y**2 - 272*y. Let q(o) = 28*o**2 + 136*o. Let f(d) = -6*c(d) - 14*q(d). Suppose f(h) = 0. Calculate h.
0, 68
Let k = 3246 - 48686/15. Let h(u) be the first derivative of 0*u**2 + 0*u**4 + 0*u**3 + 0*u + k*u**5 - 22 + 5/9*u**6. Suppose h(o) = 0. Calculate o.
-2/5, 0
Let o(d) be the first derivative of 14*d + 1/12*d**2 - 1/72*d**4 + 1/40*d**5 - 1/12*d**3 - 4. Let h(f) be the first derivative of o(f). Solve h(x) = 0 for x.
-1, 1/3, 1
Let b(s) = -16*s**3 + 162*s**2 + 2080*s + 4805. Let j(q) = 12*q**3 - 164*q**2 - 2080*q - 4804. Let z(m) = -4*b(m) - 5*j(m). Factor z(d).
4*(d + 3)*(d + 20)**2
Let w = 45 + -43. Suppose -57 = -2*o - 3*s, 0*o + w*o - 51 = -s. Suppose 243 - 8*r + 38*r + o*r + 3*r**2 = 0. Calculate r.
-9
Let k(u) = -8*u**2 - 1608*u - 342786. Let b(z) = -23*z**2 - 4832*z - 1028359. Let r(w) = 6*b(w) - 17*k(w). Factor r(d).
-2*(d + 414)**2
Let k(y) be the second derivative of y**7/21 - y**6 + 79*y**5/10 - 59*y**4/2 + 172*y**3/3 - 60*y**2 - 1022*y. Solve k(a) = 0 for a.
1, 2, 5, 6
Let d be 6 + (512/(-20) + 6)*(-10)/(-35). Factor 1/5*j**3 + 4/5*j**2 + j + d.
(j + 1)**2*(j + 2)/5
Solve -140/3*b**3 + 1024/3 + 2/3*b**4 + 264*b**2 - 1552/3*b = 0 for b.
2, 64
Let d(f) = -18*f + 870. Let r be d(17). Let b = 569 - r. What is g in 2/5*g**b + 24/5*g**2 + 0 + 12/5*g**4 + 8/5*g + 26/5*g**3 = 0?
-2, -1, 0
Suppose -39*n - 9*n = -12*n - 72. Factor 22/7*z + 10/7 + 2*z**n + 2/7*z**3.
2*(z + 1)**2*(z + 5)/7
Suppose 857*i = z + 852*i, 0 = 4*z + i - 21. Factor -1/6*a**3 + 0 - 1/3*a**4 + 1/6*a**z + 1/3*a**2 + 0*a.
a**2*(a - 2)*(a - 1)*(a + 1)/6
Let k(o) = 5*o**2 + 13*o - 44. Let x(p) = -2*p**2 + 3*p + 1. Let w(f) = k(f) + 2*x(f). Let w(n) = 0. Calculate n.
-21, 2
Let i(x) = -12*x**4 + 51*x**3 - 147*x**2 + 9. Let u = 66 - 161. Let w = 86 + u. Let b(o) = o**4 - o**3 - 1. Let q(n) = w*b(n) - i(n). What is c in q(c) = 0?
0, 7
Let u be (4/5)/((-1765)/3883 - 2487/(-4455)). Determine q so that -51/7 - 3/7*q**2 - u*q = 0.
-17, -1
Let c(n) be the third derivative of -n**5/60 - 3*n**4/4 + 44*n**3/3 - 9*n**2 + 2. Factor c(q).
-(q - 4)*(q + 22)
Let j(f) be the third derivative of -f**8/840 - 17*f**7/525 - 7*f**6/30 + 44*f**5/75 + 128*f**4/15 - 512*f**3/15 - 8*f**2 + 23. Solve j(g) = 0 for g.
-8, -4, 1, 2
Let q = 16113/7 - 2295. Suppose 2476*y = 2454*y. Find s, given that -q*s**4 + y*s + 0 + 78/7*s**3 + 36/7*s**2 = 0.
-3/8, 0, 2
Let l(b) = -8*b + 1. Let f be l(1). Let n(x) = -4*x - 23. Let v be n(f). Let 5 + 12*h**2 - 19*h**3 - 8*h - v - 12*h**4 + 23*h**3 + 4*h**5 = 0. What is h?
-1, 0, 1, 2
Let m = 72 - 70. Factor -13*t**3 - 13*t**3 - 14*t**3 - 76*t + 30*t**m + 47*t**3 - 9*t**3 + 48.
-2*(t - 12)*(t - 2)*(t - 1)
Suppose 3*o - 10*i = -12*i + 2,