ctor h(s).
2*s*(s - 2)/11
Let x(y) = 76*y**3 - 396*y**2 - 624*y + 848. Let g(a) = -7*a**3 + 36*a**2 + 57*a - 77. Let j(b) = -32*g(b) - 3*x(b). Solve j(u) = 0.
-2, 1, 10
Let -22/9*o**4 - 22/9 + 4/9*o**3 - 2/9*o - 2/9*o**5 + 44/9*o**2 = 0. What is o?
-11, -1, 1
Let c(m) be the third derivative of -m**6/540 - m**5/135 + 11*m**4/108 + 4*m**3/9 + 4*m**2. Factor c(g).
-2*(g - 3)*(g + 1)*(g + 4)/9
Let t(a) be the second derivative of 2*a**4/33 + a**3/3 - 3*a**2/11 - 16*a. Factor t(j).
2*(j + 3)*(4*j - 1)/11
Find p, given that -6084*p**3 - 1131*p**2 - 193*p**4 - 192*p**2 + 694*p**4 - 12*p**5 + 918*p**3 = 0.
-1/4, 0, 21
Let q(v) be the second derivative of -v**6/90 + v**5/20 + v**4/36 - v**3/6 + 192*v. Factor q(r).
-r*(r - 3)*(r - 1)*(r + 1)/3
Suppose -5*w = 15, 2*i = -16*w + 19*w + 15. Let r(l) be the second derivative of 0 - 9/20*l**5 - 1/4*l**4 - 3*l + l**i + 0*l**2. Find j such that r(j) = 0.
-1, 0, 2/3
Suppose 0 = -2*f + 6, 22*d - 25*d = 4*f - 18. Factor 15/4*u**4 + 15/2*u**3 + 3/4 + 15/2*u**d + 3/4*u**5 + 15/4*u.
3*(u + 1)**5/4
Let -3*p**2 + 31/3*p - 22/3 = 0. What is p?
1, 22/9
Let x(j) be the third derivative of j**8/84 + 2*j**7/21 + 7*j**6/30 + j**5/5 - 80*j**2. Let x(u) = 0. What is u?
-3, -1, 0
Let y(d) be the first derivative of -d**4 + 31*d**3/3 - 28*d**2 - 16*d - 131. Factor y(n).
-(n - 4)**2*(4*n + 1)
Let f(c) = -2*c**3 - c**2 - 3*c - 2. Let n(w) = -5*w**3 - 640*w**2 - 655*w - 10. Let d(u) = -5*f(u) + n(u). Find b, given that d(b) = 0.
-1, 0, 128
Let c be (1 - 0) + 1 - 4. Let y(b) = 3*b**3 - 75*b**2 + 373*b - 627. Let w(o) = 20*o**3 - 525*o**2 + 2610*o - 4390. Let t(a) = c*w(a) + 15*y(a). Factor t(v).
5*(v - 5)**3
Let f be (-8)/(-44) + (-5277)/44. Let v = 120 + f. Let 0 - 1/2*w - v*w**2 = 0. What is w?
-2, 0
Let q(b) be the third derivative of 1/840*b**7 + 0*b - 1/1344*b**8 - 1/120*b**5 - 1/96*b**4 + 0 + 1/240*b**6 - 33*b**2 + 1/24*b**3. Factor q(y).
-(y - 1)**3*(y + 1)**2/4
Let i = 42 - 41. Let j be (4/(-18))/i - 900/(-405). Factor 4/5 + 6/5*x + 2/5*x**j.
2*(x + 1)*(x + 2)/5
Let n(w) be the third derivative of w**7/280 + 169*w**6/160 + 1197*w**5/10 + 5782*w**4 + 21952*w**3 - 575*w**2. Suppose n(g) = 0. What is g?
-56, -1
Let 2/9*g**3 - 2/9*g**5 + 0 + 0*g + 0*g**4 + 0*g**2 = 0. Calculate g.
-1, 0, 1
Let z = -38 + 54. Suppose 5*j = 3*j + z. Determine v, given that -4 - 3*v**3 + j*v**2 + 0 + 4*v - 4*v**4 + 4*v**5 + v**3 - 6*v**3 = 0.
-1, 1
Let r be ((-6)/(-6))/((-3)/(-6)). Suppose -4*g + 3*t - 10 = 8*t, 0 = 3*g + t + 2. Factor g + 2/3*m - 2/3*m**r.
-2*m*(m - 1)/3
Let s(i) be the third derivative of -i**5/12 + 20*i**4/3 + 55*i**3/2 - 4*i**2 - 7*i. Factor s(y).
-5*(y - 33)*(y + 1)
Factor 51/2*r**2 + 9*r + 0 + 33/2*r**3.
3*r*(r + 1)*(11*r + 6)/2
Factor 1/7*u**5 + 0*u + 0 + 1/7*u**2 + 3/7*u**4 + 3/7*u**3.
u**2*(u + 1)**3/7
Let c(v) = -13*v**2 - 33*v + 22. Let f(j) = 47*j**2 + 131*j - 90. Let k(d) = 22*c(d) + 6*f(d). Find w such that k(w) = 0.
1, 14
Let q(w) be the first derivative of w**5/35 - 5*w**4/28 + w**3/3 - 3*w**2/14 - 9. Factor q(j).
j*(j - 3)*(j - 1)**2/7
Suppose 4*o = -5*m + o + 25, -2*o = 0. Suppose -m*u + u + 12 = 0. Let 2*a**3 + u*a**4 + 3*a - 9*a**2 - 3*a**3 - 2*a**3 + 0*a**4 + 6 = 0. Calculate a.
-1, 1, 2
Let k = 18894 + -18891. Determine l so that k - 15/2*l + 3/2*l**2 + 3*l**3 = 0.
-2, 1/2, 1
Let f(n) = -16*n**2 + n - 1. Let a be f(1). Let l be (a/20)/(4/(-10)). Find i such that -i**l + 2*i + 2*i - 3*i = 0.
0, 1
Let 351232/19 + 336/19*b**2 + 18816/19*b + 2/19*b**3 = 0. What is b?
-56
Suppose -62*w = -60*w - 170. Suppose -50 = 7*d - w. Solve 162/5*h**4 + 92/5*h**2 - 54/5*h**d - 22/5*h + 2/5 - 36*h**3 = 0 for h.
1/3, 1
Suppose 2*f + 5*m = -0*m + 164, 0 = 5*m - 20. Factor 20*p + f*p**2 + 1536 - 128*p + 543*p + 3*p**3 + 141*p.
3*(p + 8)**3
Let d(n) be the third derivative of 0*n + 0*n**4 - 1 - 1/90*n**5 + 1/945*n**7 - 1/270*n**6 + 0*n**3 + 6*n**2. Solve d(q) = 0 for q.
-1, 0, 3
Let u = -63 - -66. Let -53*s + 53*s + u*s**2 = 0. What is s?
0
Let m(p) be the third derivative of p**6/120 - 2*p**5/5 - 162*p**2. Factor m(c).
c**2*(c - 24)
Let c(o) be the second derivative of -10*o**7/147 - 26*o**6/105 + 3*o**5/5 + 29*o**4/21 - 88*o**3/21 + 24*o**2/7 + 250*o + 2. Solve c(l) = 0.
-3, -2, 2/5, 1
Let -18/17*q + 2/17*q**5 - 12/17*q**4 + 4/17*q**2 + 16/17*q**3 + 8/17 = 0. Calculate q.
-1, 1, 4
Let y be 4633 + 6/9*3. Let -6*z**3 + 4643*z**2 - y*z**2 + 4*z**4 + 18*z**3 = 0. Calculate z.
-2, -1, 0
Let j be -1*1*10/(-2). Suppose 2*a - 3*a + j = 0. Suppose -4/9*t + 2/3*t**a + 0 - 2/9*t**3 + 10/9*t**4 - 10/9*t**2 = 0. Calculate t.
-1, -2/3, 0, 1
Let m(a) = -a**2 - 117*a + 238. Let t be m(-119). Factor t + 0*f + 2/7*f**2.
2*f**2/7
Let g(b) = 5*b**3 - 14*b**2 + 6*b - 6. Let x(p) = -p**3 - p**2 - p + 1. Let w(k) = -g(k) - 6*x(k). Factor w(r).
r**2*(r + 20)
Suppose -2*j = o - 36, 4*o + 0*o + j = 137. Let h(u) = 23*u**3 - 12*u**2 - u + 17. Let f(w) = -4*w**3 + 2*w**2 - 3. Let n(z) = o*f(z) + 6*h(z). Factor n(s).
2*s*(s - 3)*(s + 1)
Suppose 5*k = 83 - 13. Let o(z) = -2*z. Let t(h) = h**3 - 17*h - 2. Let j(a) = k*o(a) - 2*t(a). Solve j(q) = 0.
-1, 2
Let n = 712 + -4975/7. Suppose -4*y - 28 = -4*p, -5*p + y + 9 + 10 = 0. Suppose -15/7*c + 6/7*c**3 + 3/7 - p*c**4 + n*c**5 + 18/7*c**2 = 0. Calculate c.
-1, 1/3, 1
Let v(y) be the first derivative of -2*y**3/3 + 11*y**2 - 56*y + 47. Suppose v(d) = 0. What is d?
4, 7
Let r be (-210)/(-60) - (-3)/(-2). Let o(z) be the first derivative of 0*z + 1/2*z**4 + 4/3*z**3 + 8 + z**r. Solve o(m) = 0 for m.
-1, 0
Let p(a) be the third derivative of -a**6/40 + 361*a**5/50 - 3276*a**4/5 + 5184*a**3/5 + 12*a**2 + 12*a. Let p(z) = 0. What is z?
2/5, 72
Let i(y) be the third derivative of -y**7/1680 - y**6/360 + 10*y**3/3 - 11*y**2. Let a(l) be the first derivative of i(l). Factor a(p).
-p**2*(p + 2)/2
Let p = -112 + 114. Solve -17*i + 36*i**p + 3*i**3 + 64*i + 61*i = 0 for i.
-6, 0
Let h be (-36)/27*3/(-672). Let d(f) be the third derivative of 0 + 0*f + 1/35*f**7 + 0*f**3 - h*f**8 - 4*f**2 + 0*f**4 - 1/20*f**6 + 1/30*f**5. Factor d(n).
-2*n**2*(n - 1)**3
Let d be 5*12/16*(-8 - (-1408)/168). Factor -d*y**2 + 8/7*y**5 + 0 + 18/7*y**4 + 6/7*y**3 - 6/7*y.
2*y*(y + 1)**3*(4*y - 3)/7
Find x such that -3*x - 4*x**2 + 0 + 3/4*x**3 = 0.
-2/3, 0, 6
Let f(q) = q**2. Let n(a) = -a**2 - 3*a + 4. Let c be n(2). Let h(t) = 5*t**2 + 5*t - 4. Let b(z) = c*f(z) + h(z). Let b(x) = 0. What is x?
1, 4
Let v = -21971/245 + 449/5. Let k = 29/49 + v. Find m, given that -2/7 - 1/7*m**4 - k*m**3 - m - 9/7*m**2 = 0.
-2, -1
Let a be 0*(174/(-108) - 19/((-1026)/60)). Factor 3 + 9/2*f + a*f**2 - 3/2*f**3.
-3*(f - 2)*(f + 1)**2/2
Suppose -6 = -5*m + h, 2*m - 2*h + 14 = 5*m. Factor 861 - m*o**3 - 861 + 6*o**2 - 4*o.
-2*o*(o - 2)*(o - 1)
Let v(q) be the first derivative of 4*q**5/5 - q**4 - 12*q**3 - 22*q**2 - 16*q - 44. Suppose v(r) = 0. Calculate r.
-1, 4
Let s(m) be the first derivative of m**4 + 548*m**3 + 84048*m**2 - 169744*m + 272. Let s(l) = 0. What is l?
-206, 1
Suppose 51*y + 4*h + 20 = 46*y, 3*y - 3*h = 15. Factor -2*f**2 + 3/2*f + y.
-f*(4*f - 3)/2
Let x(a) be the third derivative of -a**6/100 + 101*a**5/150 + 17*a**4/30 + 465*a**2. Factor x(v).
-2*v*(v - 34)*(3*v + 1)/5
Let c(l) be the first derivative of -l**4/2 + 4*l**3 - 5*l**2 - 176. Factor c(b).
-2*b*(b - 5)*(b - 1)
Let v(z) be the third derivative of -z**7/14 - 7*z**6/24 + z**5/2 - 85*z**2. Solve v(y) = 0.
-3, 0, 2/3
Let q(r) be the second derivative of -1/126*r**7 - 1/18*r**6 - 1/6*r**5 - 5/18*r**4 - 5/18*r**3 + 0 + 13*r - 1/6*r**2. Suppose q(n) = 0. What is n?
-1
Let z(f) be the second derivative of f**6/30 - 3*f**5/20 + f**4/12 + f**3/2 - f**2 - 2*f - 29. Factor z(t).
(t - 2)*(t - 1)**2*(t + 1)
Let w(s) be the second derivative of -s**4/24 + 7*s**3/24 + s**2/2 + 88*s. Factor w(q).
-(q - 4)*(2*q + 1)/4
Find x such that 8*x**3 + 7 - 520*x**4 + 1 + 521*x**4 + 22*x + 21*x**2 = 0.
-4, -2, -1
Let o(c) be the third derivative of -c**5/210 + 5*c**4/42 + 8*c**3/3 - 95*c**2 - c. Factor o(t).
-2*(t - 14)*(t + 4)/7
Let h(t) be the first derivative of -1/2*t**4 - 7 - 4*t + 4/3*t**3 + t**2. Factor h(z).
-2*(z - 2)*(z - 1)*(z + 1)
Let 0 + 2*f**3 + 0*f + f**5 + 1/2*f**2 + 5/2*f**4 = 0. Calculate f.
-1, -1/2, 0
Suppose -4*f - 5*i = 15, 3*f + 15 = 2*f - 5*i. Suppose 6 = 3*o - f. Factor -5*z**2 - 3*z