 -1/252*h**7 - 1/40*h**5 + l*h**2 + 0 - 1/60*h**6 - 1/72*h**4 - 3*h + 0*h**3. Solve k(n) = 0 for n.
-1, 0
Let 3*w**3 + 41472 + 0*w + 2868*w + 2316*w + 216*w**2 = 0. Calculate w.
-24
Let o(z) = -5*z**2 - 19*z. Let q(d) = 4*d**2 + 18*d. Let k(b) = 5*o(b) + 6*q(b). Factor k(g).
-g*(g - 13)
Let n(b) be the third derivative of -b**6/360 + b**5/90 + 13*b**4/72 + 5*b**3/9 - 578*b**2. Factor n(w).
-(w - 5)*(w + 1)*(w + 2)/3
Factor 22/15*u**2 + 4/15 - 26/15*u.
2*(u - 1)*(11*u - 2)/15
Let y(c) be the second derivative of c**4/66 - 122*c**3/33 - 123*c**2/11 - 204*c. Factor y(a).
2*(a - 123)*(a + 1)/11
Suppose 0*y - 3*y = -18. Let l(k) = 3 + 3*k - 2 - y - 3*k**2. Let v(m) = 8*m**2 - 8*m + 14. Let t(b) = 14*l(b) + 5*v(b). Solve t(i) = 0 for i.
0, 1
Let k = 227/9 + -445/18. Let -l - k*l**2 + 0 = 0. What is l?
-2, 0
Let s(j) = -35*j**3 + 160*j**2 + 345*j + 210. Let x(i) = 5*i**3 - 23*i**2 - 49*i - 30. Let p(n) = -3*s(n) - 20*x(n). Suppose p(m) = 0. Calculate m.
-1, 6
Let w(g) = -2*g**2 + 7*g + 2. Let c(t) = t**2 - 6*t - 2. Let d(s) = -3*c(s) - 2*w(s). Let a be d(-4). Factor 4*y**2 + 0*y**2 - 4*y**3 + 16*y + 4*y**a - 32.
-4*(y - 2)**2*(y + 2)
Let c(x) be the second derivative of -x**3/6 + 46*x. Let p(j) = 5*j**2 - 23*j. Let t(h) = -2*c(h) - p(h). Factor t(r).
-5*r*(r - 5)
Factor 2/7*b**5 + 10/7*b**4 + 0 + 0*b + 0*b**2 + 8/7*b**3.
2*b**3*(b + 1)*(b + 4)/7
Let f = -14 - -26. Let c = -7 + f. Determine o so that 2*o - c + 2*o**2 - 3 + 4 = 0.
-2, 1
Suppose -2/7*z**3 + 90/7 - 10/7*z**2 + 82/7*z = 0. What is z?
-9, -1, 5
Factor 3/7*k**2 - 18/7*k + 0.
3*k*(k - 6)/7
Let c(p) be the first derivative of 0*p - 15/4*p**4 - 5*p**2 + 3 - 25/3*p**3. Find s such that c(s) = 0.
-1, -2/3, 0
Let n(z) be the second derivative of -z**6/20 - z**5/15 + z**4 + 8*z**3/3 + 5*z**2 - 12*z. Let a(f) be the first derivative of n(f). Factor a(c).
-2*(c - 2)*(c + 2)*(3*c + 2)
Let b(i) = i - 16. Let q be b(13). Let v be (-2 - (-14)/4)/(q/(-4)). Determine m so that -2/5*m + 0 + 2/5*m**v = 0.
0, 1
Determine m so that 823*m - 1575*m + 792*m + 4*m**2 + 36 = 0.
-9, -1
Let h be (6/8)/(2/8). Let w(l) = -l**2 - l + 3. Let a be w(0). Solve -v**3 + 0*v - 3*v - v**a + 5*v**h = 0 for v.
-1, 0, 1
Let v(r) be the first derivative of -2/5*r**2 + 16/5*r - 9 - 2/15*r**3. Determine m so that v(m) = 0.
-4, 2
Let w(g) be the first derivative of -3*g**4/5 + 7*g**3 + 291*g**2/10 + 66*g/5 + 31. Suppose w(z) = 0. Calculate z.
-2, -1/4, 11
Let q = 3938 - 51190/13. Solve -q + 22/13*k**2 + 8/13*k**3 + 10/13*k = 0.
-2, -1, 1/4
Let k = -6303 - -6305. Find y such that 1/2*y**k + y + 0 - 1/2*y**3 = 0.
-1, 0, 2
Suppose 2741*b - 9*b**5 + 16*b**2 + 8*b**4 - 16 + 37*b**4 - 2709*b - 68*b**3 = 0. What is b?
-2/3, 2/3, 1, 2
Let z be (-4)/(-18) + (-44)/36. Let v be (4 + -1 - 5)/z. Factor -c**2 + 17*c**5 + c - 2*c**3 - 16*c**5 + c**v.
c*(c - 1)**2*(c + 1)**2
Suppose -1/4*x**3 + 3*x**2 + 5/2 - 21/4*x = 0. Calculate x.
1, 10
Let d(a) be the third derivative of a**8/1680 - a**6/15 + 8*a**5/15 - 25*a**4/24 + 3*a**2 + 5. Let i(z) be the second derivative of d(z). What is o in i(o) = 0?
-4, 2
Suppose 4*t = 2*r + 12, 4*r - 6*t + 9 = -t. Suppose 2 = 2*p - r*p, -v = -4*p - 8. Factor -16*b**3 + 6*b**4 - 6 + 3*b**v + 49*b**3 + 33*b**2 + 3*b.
3*(b + 1)**2*(b + 2)*(3*b - 1)
Find l such that -2/3*l**3 - 300 - 64/3*l**2 - 190*l = 0.
-15, -2
Let b(x) = -32*x**2 + 4*x - 7. Let j be b(2). Let o = -127 - j. Factor o + 6*i**4 + 3*i**2 + 15/2*i**3 + 0*i + 3/2*i**5.
3*i**2*(i + 1)**2*(i + 2)/2
Let x(c) be the first derivative of 40/3*c**3 - 5*c**5 - 15/4*c**4 + 5/3*c**6 + 0*c + 13 + 10*c**2. Let x(w) = 0. Calculate w.
-1, -1/2, 0, 2
What is a in 2*a - 87*a**4 + 42*a**4 + 5*a**2 + 42*a**4 - 4*a**3 = 0?
-2, -1/3, 0, 1
Let k be (-195)/(0 + 15) - (-102)/6. What is u in -8/21 - 2/3*u**2 + 4/21*u**k - 2/7*u**3 + 8/7*u = 0?
-2, 1/2, 1, 2
Let a(s) = s**2 - 2*s - 5. Let q be a(3). Let w be (-40)/16*3/(q + -13). Find u, given that -3/2*u**2 - u + w = 0.
-1, 1/3
Let b(r) be the second derivative of -r**4/6 + 40*r**3/3 - 400*r**2 + 3*r + 23. Solve b(k) = 0 for k.
20
Suppose -36*j + 4 = 3*t - 37*j, 5*j - 6 = 2*t. Factor -2/9*l + 0 - 2/9*l**t.
-2*l*(l + 1)/9
Suppose -211*u = 213*u - 422*u. Factor 0*b - 10/3*b**3 + 5/3*b**4 + 0 + u*b**2.
5*b**3*(b - 2)/3
Let k be (-14)/(-2) + 7 + -9. Let l(s) = 2*s**3 - 2*s**2 + 2*s + 2. Let a(i) = -3*i**3 + 2*i**2 - 2*i - 2. Let g(r) = k*l(r) + 4*a(r). Let g(w) = 0. What is w?
-1, 1
Let 100 + 120*b + 23*b**2 - 16*b**2 - 12*b**2 + 40*b**2 = 0. Calculate b.
-2, -10/7
Let b(s) = s**4 - s**2 + 3*s + 1. Let t(y) = 4*y**4 - 50*y**3 - 182*y**2 - 150*y + 6. Let q(m) = 6*b(m) - t(m). Factor q(z).
2*z*(z + 2)**2*(z + 21)
Determine i, given that -2/3*i**4 - 14/3*i**3 + 0*i + 16/3*i**2 + 0 = 0.
-8, 0, 1
Let t(j) be the third derivative of -2/3*j**3 + 0*j + 9*j**2 + 0 + 0*j**5 + 1/4*j**4 - 1/60*j**6. Factor t(o).
-2*(o - 1)**2*(o + 2)
Let c(v) = v**4 - v - 1. Let r(x) = 6*x**4 - 12*x**3 - 3*x**2 + 9*x - 3. Let z(l) = -3*c(l) + r(l). Factor z(b).
3*b*(b - 4)*(b - 1)*(b + 1)
Let b(n) be the third derivative of -n**5/120 - 55*n**4/24 - 3025*n**3/12 - 9*n**2 - 5*n. Let b(j) = 0. Calculate j.
-55
Let u(x) be the second derivative of -x**7/231 + 4*x**6/165 - x**5/22 + x**4/33 - 91*x. Factor u(f).
-2*f**2*(f - 2)*(f - 1)**2/11
Let l(n) be the second derivative of 36*n - 5/4*n**4 - 1/120*n**6 - 13/80*n**5 - 8*n**2 + 0 - 14/3*n**3. Factor l(f).
-(f + 1)*(f + 4)**3/4
Let w(r) = 7223*r**3 - 7565*r**2 + 348*r - 6. Let h(i) = 36114*i**3 - 37825*i**2 + 1742*i - 31. Let n(y) = -4*h(y) + 22*w(y). Determine a, given that n(a) = 0.
2/85, 1
Factor -192*d + 44*d**3 + 52*d - 405 + 492*d - 1215*d**2 + 31*d**3 + 1025*d.
3*(d - 15)*(5*d - 3)**2
Suppose 2*i + y - 7 = 0, 2*i - i + y - 3 = 0. Suppose -6*b**2 - 9*b**i - 4*b + 5*b**4 + 5*b**4 + b**4 = 0. What is b?
-1, 0, 2
Factor -800/7 - 2/7*x**2 - 80/7*x.
-2*(x + 20)**2/7
Suppose 680*x = 685*x. Let j(u) be the third derivative of -1/10*u**4 - 8*u**2 - 3/5*u**3 + x*u - 1/150*u**5 + 0. What is l in j(l) = 0?
-3
What is i in 67*i - 4489/2 - 1/2*i**2 = 0?
67
Let a(u) be the second derivative of 8*u**7/147 - 4*u**6/35 - 263*u**5/140 - 5*u**4/4 + 103*u**3/42 - 15*u**2/14 + 76*u. Find z, given that a(z) = 0.
-3, -1, 1/4, 5
Let p = 45 + -41. Suppose -2*w + 5 = 3*n + 10, p*n + 10 = -w. Determine r, given that 5/4*r**4 - 3*r**3 + 3*r - 1 - 1/4*r**w = 0.
-1, 2/5, 1, 2
Let p = -1266 + 1268. Find x, given that -3/4*x - 1/4*x**p - 1/2 = 0.
-2, -1
Solve -5*y**2 + 0*y + 15/4*y**5 + 0 + 35/4*y**4 + 0*y**3 = 0 for y.
-2, -1, 0, 2/3
Let t(p) be the third derivative of -2*p**7/35 + p**6/15 + 8*p**2 - 3*p. Factor t(m).
-4*m**3*(3*m - 2)
Let t be (-2688)/441*(-9)/6. Let v(k) be the second derivative of 10*k - t*k**2 - 1/70*k**5 - 16/7*k**3 + 0 - 2/7*k**4. Suppose v(a) = 0. Calculate a.
-4
Suppose 0 = -2*n - 228 + 238. Let p(k) be the second derivative of 0*k**4 - 1/45*k**6 - 3*k + 5/189*k**7 + 0 + 0*k**2 + 0*k**3 - 1/45*k**n. Factor p(a).
2*a**3*(a - 1)*(5*a + 2)/9
Suppose 3*t - 3 = 2*t - 5*b, -2*t - 3*b = -13. Factor 1 - 6*u**2 + t + u**2 - 4.
-5*(u - 1)*(u + 1)
Let c(s) be the first derivative of 3*s**5/100 - s**4/4 + s**3/5 + 12*s**2/5 + 14*s - 10. Let t(v) be the first derivative of c(v). Find k such that t(k) = 0.
-1, 2, 4
Let y(v) = 608*v - 46820. Let a(j) = -j**2 - 606*j + 46821. Let l(s) = 2*a(s) + 3*y(s). Factor l(t).
-2*(t - 153)**2
Let l(w) be the first derivative of 8*w**5/15 + 5*w**4 + 124*w**3/9 + 8*w**2 - 166. What is m in l(m) = 0?
-4, -3, -1/2, 0
Factor -2/5*t**5 + 2/5*t**4 + 0 + 3/10*t**3 - 1/10*t - 1/5*t**2.
-t*(t - 1)**2*(2*t + 1)**2/10
Let q(x) = x**2 - 5*x. Let y(v) = v - 7. Let d be y(5). Let w(s) be the first derivative of 4*s**3/3 - 8*s**2 + s - 38. Let p(n) = d*w(n) + 7*q(n). Factor p(r).
-(r + 1)*(r + 2)
Suppose -15 = 8*m - 13*m. Suppose -5*s + 11 = -u - 0, 3*s = -3*u + m. Factor -3 + 8*t**s + 0 + 4*t + 3 + 4*t**3.
4*t*(t + 1)**2
Let d = 5609 - 33653/6. Suppose 0 + 1/3*l**3 - 1/6*l**5 + 0*l + 0*l**2 + d*l**4 = 0. Calculate l.
-1, 0, 2
Suppose -879 + 959 = 10*q. Suppose 12*t**3 - 8/5 + q*t - 18/5*t**4 - 74/5*t**2 = 0. What is t?
2/3, 1
Let a(p) = -3*p - 45. Let t be a(-15). Let y be 1*t*2/(-4). Let 0 + y*k - 3/4*k**2 - 3/2*k**3 - 3/4*k**4 = 0. What is k?
-1, 0
Let a(c) = 2*c**2 + 4*c - 13. Let y be a(3). Suppose 