s g?
-1, 0, 1
Let q(m) be the first derivative of -2*m**3/39 + m**2/13 + 24*m/13 + 292. Suppose q(k) = 0. Calculate k.
-3, 4
Factor 14/3 + 1/2*z - 1/6*z**2.
-(z - 7)*(z + 4)/6
Let g be (4704/(-26))/(-6) - 2/13. Let z = 34 - g. Factor -3/7*c + 3/7*c**3 + 0 - 3/7*c**z + 3/7*c**2.
-3*c*(c - 1)**2*(c + 1)/7
Factor 1/6*n**2 + 4/3*n + 7/6.
(n + 1)*(n + 7)/6
Factor -1/6*u**3 - 4/3*u**2 - 10/3*u - 8/3.
-(u + 2)**2*(u + 4)/6
Let n(s) be the second derivative of -s**7/4200 - s**6/900 - s**5/600 + s**3 + 4*s. Let a(m) be the second derivative of n(m). Let a(r) = 0. Calculate r.
-1, 0
Let o(d) be the third derivative of d**5/80 - 5*d**4/16 + 3*d**3 + 97*d**2 - 1. Find s such that o(s) = 0.
4, 6
Let m(a) = 20*a**2 - 748*a - 704. Let b(t) = 2*t**2 - 68*t - 64. Let o(n) = -32*b(n) + 3*m(n). Factor o(u).
-4*(u + 1)*(u + 16)
Let y = -7 - -34. Suppose 4*m = -2*z + 24, -3*m - 2*z + y = 10. Factor 6*v + 5*v + 8*v - 9*v**3 - m*v + 3*v**4.
3*v*(v - 2)**2*(v + 1)
Let i be -7 + 4/(-38) + 7974/1026. Factor -i*a**2 - 2/3*a + 0.
-2*a*(a + 1)/3
Let c(z) be the second derivative of z**5/50 + 2*z**4/5 + 7*z**3/3 + 24*z**2/5 + z - 145. Factor c(x).
2*(x + 1)*(x + 3)*(x + 8)/5
Let c(k) be the second derivative of 2*k**7/147 - 4*k**6/105 - 3*k**5/35 + 78*k. Let c(g) = 0. What is g?
-1, 0, 3
Let p(t) = -t**2 + 3*t + 6. Let i be p(4). Factor -11*r**2 - 4*r**i - 9*r**3 + 14*r**3 + 10*r.
5*r*(r - 2)*(r - 1)
Suppose 0 = -i + l + 1 - 0, -2*i + 3*l - 1 = 0. Factor -4/11*c - 2/11*c**i + 4/11*c**3 + 0*c**2 + 2/11.
-2*(c - 1)**3*(c + 1)/11
Suppose 4*h + 40 = -4*r, -30 = 2*r + 2*h + 2*h. Let d be r/20 - ((-10)/8 - 1). Factor 1/3*u**4 - 1/3*u**3 + 0 - 1/3*u**d + 1/3*u.
u*(u - 1)**2*(u + 1)/3
Let j(d) be the first derivative of d**3/9 + 5*d**2/6 + 2*d + 22. Suppose j(u) = 0. What is u?
-3, -2
Let l(k) be the first derivative of -2/3*k - 5/3*k**2 - 25/18*k**3 + 8. Factor l(o).
-(5*o + 2)**2/6
Let o(f) = f**2 - f - 9. Let x be o(4). Suppose 4*k - 5 = 3*w, -4*k + 2*k + x*w = -1. Solve -b**3 - 21*b**2 + 15*b**2 - k*b**3 = 0 for b.
-2, 0
Let v(b) be the first derivative of b**3 - 6*b**2 - 8*b + 13. Let l(h) = -2*h**2 + 8*h + 5. Let z(c) = -8*l(c) - 5*v(c). Let z(w) = 0. What is w?
0, 4
Suppose 5 = -4*c + 5*c. What is y in 264*y**3 + 2*y**4 - 2*y - c*y**4 + 3*y**2 - 5*y**5 - 257*y**3 = 0?
-1, 0, 2/5, 1
Let n(m) = -m**2 + 2*m + 6. Let t be n(3). Factor -2*d**3 - 3*d + t*d**3 + 11*d**2 - d**4 + 2 - 8*d**2 - 2*d.
-(d - 1)**3*(d + 2)
Let y(l) be the second derivative of l**6/105 + 11*l**5/70 + 11*l**4/21 - 20*l**3/7 - 72*l**2/7 + 24*l + 1. Solve y(v) = 0.
-6, -1, 2
Determine z, given that -z**4 + 420*z**3 + z**2 - 415*z**3 + z - 6*z = 0.
-1, 0, 1, 5
Let u(n) = n**2 + n. Let s(z) = 4*z**2 + 7*z. Let h = 29 + -32. Let f(l) = h*s(l) + 15*u(l). Let f(g) = 0. What is g?
0, 2
Suppose -31*t + 20 = -21*t. Let s(w) be the second derivative of -4/15*w**3 - 4/5*w**t - 5*w + 0 - 1/30*w**4. Find i, given that s(i) = 0.
-2
Let o = 153 + -917/6. Find r such that 0*r - o*r**2 + 1/6 = 0.
-1, 1
Let n(c) be the second derivative of 1/3*c**2 - 28*c + 1/40*c**5 - 1/12*c**3 - 5/72*c**4 + 1/180*c**6 + 0. Find s, given that n(s) = 0.
-4, -1, 1
Let k(q) be the first derivative of 7*q**4/2 + 46*q**3/3 + 6*q**2 - 125. Factor k(m).
2*m*(m + 3)*(7*m + 2)
Let b(g) = -g**2 - 10*g - 12. Let o be b(-6). Suppose 0 = -5*a - 2 + o. Determine q, given that 0 - 1/5*q**3 + 1/5*q**a + 2/5*q = 0.
-1, 0, 2
Let d = 2960 - 2957. Let s = -87/2 - -46. Let -s*v**d + v - 3/2*v**2 + 0 = 0. What is v?
-1, 0, 2/5
Let j = -2 - -15. Suppose 0 = -2*n - 5*y - 17, 2*y + 9 + j = 3*n. Let 0*h**4 - 3*h**3 + n*h + h**5 - 4*h**2 + 3*h**4 - 2*h**4 + h**4 = 0. Calculate h.
-2, 0, 1
Determine f, given that -194869*f + 45372289 + 21291*f + 2892*f**2 + 10617795 - 111092*f - 4*f**3 - 412302*f = 0.
241
Let y(z) be the third derivative of -z**6/180 + 2*z**5/45 - z**4/36 - 2*z**3/3 - 4*z**2. Factor y(s).
-2*(s - 3)*(s - 2)*(s + 1)/3
Let f(d) = 2*d**3 - d**2 - 2*d - 1. Suppose -2*s + 7 = t - 0, -2*s - 2*t + 10 = 0. Let x be f(s). Factor x*c - 6*c**2 + 7*c + 5 - 1 - 4*c.
-2*(c - 2)*(3*c + 1)
Let q = -24793 - -24795. Suppose 1/2*x + 1/4*x**q + 1/4 = 0. What is x?
-1
Let i = -22 - -24. Determine y so that -17*y + 1 - i*y**2 + 12*y + 4*y = 0.
-1, 1/2
Let -62*a**3 - 138*a - 32 + 30*a - 6*a**4 + 2*a**5 - 221*a**2 + 91*a**2 = 0. What is a?
-2, -1, 8
Let p = 1016 + -1014. Factor 0 - 3/2*m**3 + 3/4*m**4 + 3/4*m**p + 0*m.
3*m**2*(m - 1)**2/4
Let q(n) be the second derivative of 0*n**3 + 5*n + 0 + 1/90*n**5 + 3/2*n**2 - 1/540*n**6 - 1/54*n**4. Let z(t) be the first derivative of q(t). Factor z(k).
-2*k*(k - 2)*(k - 1)/9
Let y(l) be the third derivative of -l**7/630 + l**6/30 - 4*l**5/15 + 5*l**4/24 - l**3/3 + 12*l**2. Let a(z) be the second derivative of y(z). Factor a(x).
-4*(x - 4)*(x - 2)
Let k(c) = -4*c**2 + 2 + c**2 - 9*c + 4*c**2. Let i be k(9). Factor 50*g**i + 2*g + g - 41*g**2.
3*g*(3*g + 1)
Let v = -367/390 - -38/39. Let c(r) be the third derivative of 1/40*r**6 - v*r**5 + 0*r - 5*r**2 + 0 + 0*r**3 + 0*r**4 - 1/210*r**7. Factor c(u).
-u**2*(u - 2)*(u - 1)
Let h be (2/5)/((-10)/(-50)). Suppose -h*d + 6 = 4*f + 3*d, 2*d = 3*f - 16. Let -1/4*w - 1/4*w**f + 1/2*w**3 - 1/4*w**5 - 1/4 + 1/2*w**2 = 0. Calculate w.
-1, 1
Let p(n) be the second derivative of 1/12*n**4 - 1/30*n**6 + 0 - n + 1/10*n**5 - 1/3*n**3 + 0*n**2. Factor p(g).
-g*(g - 2)*(g - 1)*(g + 1)
Factor -2*t**2 - t**3 + 1/2*t**4 + 3/2 + t.
(t - 3)*(t - 1)*(t + 1)**2/2
Suppose 0 = 3*y - 7 - 2. Suppose 4*c - 30 = m - y*m, 4*c - 4*m = 0. Factor 2 - c*v**2 - 4*v**2 + 4 + 4*v**2 - 13*v.
-(v + 3)*(5*v - 2)
Suppose -98/17*v**2 - 12/17 + 298/17*v = 0. What is v?
2/49, 3
Let x(j) be the third derivative of 4*j**2 - 1/3*j**4 - 2/9*j**3 - 8*j + 0 + 13/180*j**5. Determine q so that x(q) = 0.
-2/13, 2
Let t(m) = -m**2 - 8*m + 5. Let l(r) = 6*r**2 + 40*r - 24. Let j(p) = -9*p - 66. Let v be j(-7). Let b(s) = v*l(s) - 16*t(s). Factor b(c).
-2*(c - 2)**2
Let o(r) be the third derivative of r**5/12 + 5*r**4/24 - 10*r**3 - 120*r**2. Factor o(n).
5*(n - 3)*(n + 4)
Let k be 1 - 12/(-8)*2. Let -4*b**3 + 2 - 6*b**4 + b + 3*b - 5*b**4 + 9*b**k = 0. What is b?
-1, 1
Let z(o) be the third derivative of o**7/210 - o**6/360 - o**5/90 - 621*o**2. Solve z(n) = 0.
-2/3, 0, 1
Let y be (-3354)/240 + 6 - -8. Let l(d) be the second derivative of -4*d**3 + 1/2*d**4 + 0 - 10*d - y*d**5 + 16*d**2. Let l(i) = 0. What is i?
4
Let 2*t + 6 + 10*t**2 - 9*t**2 - 8 - 1 = 0. Calculate t.
-3, 1
Let m(n) = -3*n**2 + 37*n - 59. Let c(b) = -2*b**2 + 17*b - 30. Let s(v) = -10*c(v) + 6*m(v). Suppose s(p) = 0. What is p?
-27, 1
Suppose 5*x - 4*t - 15 = 0, -x + 3*x - 39 = -5*t. Suppose -3*d = -2*d + q - x, -15 = -3*q. Factor -2 - 5/2*i**4 - d*i + 7/2*i**5 - 23/2*i**3 + 29/2*i**2.
(i - 1)**3*(i + 2)*(7*i + 2)/2
Let o(l) = l**3 - 8*l**2 - 21*l. Let p be o(0). Suppose 0 + 0*k**4 + p*k - 4/5*k**3 + 0*k**2 + 4/5*k**5 = 0. Calculate k.
-1, 0, 1
Determine l so that 24/5*l + 6/5*l**2 + 18/5 = 0.
-3, -1
Let p = 5627/160 - 211/6. Let l(m) be the third derivative of -9*m**2 - 1/80*m**5 + 0 + 0*m**3 + p*m**6 + 0*m + 1/48*m**4. Solve l(q) = 0 for q.
0, 1, 2
Let k(a) be the first derivative of -3*a**5/5 - 3*a**4/4 + 3*a**3 + 3*a**2/2 - 6*a + 47. Determine l so that k(l) = 0.
-2, -1, 1
Let w be (-44)/(-220)*(-1)/(-8). Let a(n) be the third derivative of 1/15*n**3 + 4*n**2 + 1/300*n**5 + 0 - w*n**4 + 0*n. Solve a(j) = 0 for j.
1, 2
Let y(k) be the third derivative of -k**8/784 - 11*k**7/490 - 43*k**6/280 - 73*k**5/140 - k**4 - 8*k**3/7 - k**2 - 6*k. Find q such that y(q) = 0.
-4, -1
Let b(a) be the second derivative of -a**7/126 + 7*a**6/90 - 3*a**5/10 + 5*a**4/9 - 4*a**3/9 - 2*a + 9. Factor b(m).
-m*(m - 2)**3*(m - 1)/3
Let v(g) = -8*g**4 + 2*g**3 - 21*g**2 - 29*g + 56. Let h(j) = -10*j**4 + j**3 - 20*j**2 - 28*j + 57. Let t(w) = 6*h(w) - 7*v(w). Factor t(k).
-(k - 2)*(k - 1)*(2*k + 5)**2
Let x(z) be the second derivative of -z**6/2160 + z**5/360 - z**4/144 + z**3/3 + 12*z. Let f(h) be the second derivative of x(h). Factor f(l).
-(l - 1)**2/6
Let u(d) be the first derivative of d**2 + 0*d - 5/3*d**3 + 18 + d**4 - 1/5*d**5. Find h, given that u(h) = 0.
0, 1, 2
Suppose 6*n + 12 = 7*n + 2*k, n - 5*k = -23. Let g be 50/28 - 12/42. Solve 3/4*o**3 + 15/4*o - g - 3*o**n = 0.
1, 2
Let