 2*z**5 + 3*z**5 - 12*z**4 = 0. Calculate z.
-1, 0, 15
Let b(f) = -f**2 - f. Let t be (-21)/(-7) + (-4)/1. Let h(i) = 5*i**2 + 6*i + 1. Let x(k) = t*h(k) - 6*b(k). Factor x(v).
(v - 1)*(v + 1)
Let b = -4/17 + 78/187. Let w = 11344 + -124782/11. Determine r so that 0 + 0*r - w*r**2 + b*r**3 = 0.
0, 1
Suppose -4*h + 23 = z, 2*z - 3 = -4*h + 23. Let l(o) be the third derivative of -1/36*o**4 + 0*o - 1/54*o**5 + 0 + 3*o**2 + 2/27*o**z. Factor l(y).
-2*(y + 1)*(5*y - 2)/9
Let s(q) be the third derivative of -q**6/120 + 3*q**5/40 - q**4/4 + 29*q**3/6 + 13*q**2. Let c(h) be the first derivative of s(h). Find j such that c(j) = 0.
1, 2
Let k be (2/(-4))/(-1)*-28. Let x be (-9 - k)*6/10. Let -3/4*u**x + 0*u + 0 - u**4 + 1/4*u**2 = 0. Calculate u.
-1, 0, 1/4
Determine j so that 29*j**4 - 5*j**5 - 30*j**3 - 567*j + 90 + 642*j - 80*j**2 + j**4 = 0.
-1, 2, 3
Let b = 19 - 17. Let d(o) be the third derivative of 0 + 1/96*o**4 + 0*o**3 + 0*o + 7*o**b + 1/240*o**5. Factor d(k).
k*(k + 1)/4
Suppose 3*b + 26 = 8. Let q be (-15)/10*(-1)/(b/(-2)). Suppose 0*t + 0 - 3*t**4 + 5/4*t**5 - q*t**2 + 9/4*t**3 = 0. Calculate t.
0, 2/5, 1
Suppose -15*s + 13248 = -7*s. Let f be (2/(-22))/((-12)/s). Factor -50/11*h**4 - 140/11*h**3 - f*h**2 - 8/11 - 56/11*h.
-2*(h + 1)**2*(5*h + 2)**2/11
Let q(l) be the first derivative of -1/4*l**4 + 0*l + 1/6*l**3 - 26 + 1/10*l**5 + 0*l**2. Factor q(u).
u**2*(u - 1)**2/2
Let m be (-30)/(-21) + 14938/1617. Factor 14/3*g**3 + 4 - m*g**2 - 34/3*g.
2*(g - 3)*(g + 1)*(7*g - 2)/3
Let c be 6/(-54) - (-616)/198. Let a = 1564/591 - -4/197. Let -8/3*s + 2*s**c + 10/3*s**2 - a = 0. What is s?
-2, -2/3, 1
Let p(t) = -10*t**4 - 5*t**3 + 71*t**2 + 173*t - 675. Let q(y) = 3*y**4 + 2*y**3 - 24*y**2 - 58*y + 225. Let o(v) = -4*p(v) - 14*q(v). Factor o(x).
-2*(x - 3)**2*(x + 5)**2
Let o(p) = p + 1. Suppose 0 = -2*b - 5 + 9. Let l be o(b). What is s in -2*s**4 - s**4 - s**2 + s**2 - 3*s**l = 0?
-1, 0
Let j(a) be the second derivative of -6*a**4/7 - 4*a**3/7 - a**2/7 + 351*a. Determine z, given that j(z) = 0.
-1/6
Let b(w) be the third derivative of -w**6/1080 - w**5/90 - w**4/18 - 19*w**3/6 + 11*w**2. Let f(z) be the first derivative of b(z). Factor f(n).
-(n + 2)**2/3
Let d(a) = -53*a - 104. Let o be d(-2). Suppose 5/6*s - 1 - 1/6*s**o = 0. What is s?
2, 3
Let u = -1445/11 + 133. Determine h so that 2*h**2 + u*h**3 + 4/11*h + 0 = 0.
-1, -2/9, 0
Suppose 5*r + x = 29, -r = 2*x + 3 - 25. Factor -2/9 - 2/9*v**5 - 4/9*v**3 - 4/9*v**2 + 2/3*v + 2/3*v**r.
-2*(v - 1)**4*(v + 1)/9
Let b(a) be the second derivative of -a**5/160 + 23*a**4/96 - 143*a**3/48 + 121*a**2/16 - 61*a. Factor b(p).
-(p - 11)**2*(p - 1)/8
Let p(q) be the third derivative of q**7/70 - 13*q**6/40 + 3*q**5/5 - 8*q**2 + 29*q. What is a in p(a) = 0?
0, 1, 12
Let q(w) be the third derivative of w**6/360 + w**5/45 + w**4/24 - 15*w**2 - 18*w. Factor q(y).
y*(y + 1)*(y + 3)/3
Let w(h) = 5*h**3 - 3*h**2 - 9*h + 1. Let c(p) = 63 - 9*p**3 - 131 + 66 + 5*p**2 + 17*p. Let y(l) = -6*c(l) - 11*w(l). Solve y(q) = 0.
1
Let s = -24/85 + 161/510. Let g(n) be the second derivative of -13/27*n**3 + 1/3*n**2 + 0 + 13/54*n**4 - s*n**5 + n. Factor g(f).
-2*(f - 3)*(f - 1)*(3*f - 1)/9
Let z(v) be the first derivative of -8/35*v**5 + 4/21*v**3 - 5/7*v**2 - 8 + 1/21*v**6 + 4/7*v + 2/7*v**4. Factor z(b).
2*(b - 2)*(b - 1)**3*(b + 1)/7
Let m = -273 - -276. Let i(z) be the first derivative of 0*z**2 + 1 + 0*z - 1/6*z**m. Factor i(g).
-g**2/2
Suppose -4*d - 33 = -q - 13, -q = -5*d - 17. Let i be (-6)/3 + (4 - 1). Suppose -7 - q*c**4 - i + 40*c**2 - 6*c**5 - 6*c**5 + 12*c = 0. What is c?
-2, -1, 1/3, 1
Let a(j) be the third derivative of -j**6/450 - j**5/300 + 4*j**3/3 + 7*j**2. Let l(n) be the first derivative of a(n). Suppose l(s) = 0. What is s?
-1/2, 0
Determine p, given that -23*p**4 + 183*p**2 + 42*p**3 + 108 + 252*p + 22*p**4 + 4*p**4 = 0.
-6, -1
Solve 20/7*m**3 - 46/7*m**2 + 0 + 4*m - 2/7*m**4 = 0 for m.
0, 1, 2, 7
Suppose -82*g + 87*g - 25 = -5*v, v = 2. Let i = -1/37 - -313/629. Suppose -i*l**4 + 2/17*l**5 + 0 + 0*l + 10/17*l**g - 4/17*l**2 = 0. What is l?
0, 1, 2
Let i(v) be the second derivative of 2*v**3/3 + 49*v**2 - 25*v. Let g be i(-24). Factor -1/5*h**4 + 1/5*h**3 - 1/5*h**5 + 1/5*h**g + 0 + 0*h.
-h**2*(h - 1)*(h + 1)**2/5
Let b(c) = -c**2 - 46*c - 3. Let q(v) = -8*v**2 - 320*v - 20. Let i(o) = 20*b(o) - 3*q(o). Find z, given that i(z) = 0.
-10, 0
Let w(m) be the first derivative of m**5/160 + m**4/32 - 47*m - 38. Let c(p) be the first derivative of w(p). Suppose c(n) = 0. What is n?
-3, 0
Let k = 62056/9 - 6895. Factor -2/3*a - k*a**2 - 5/9.
-(a + 1)*(a + 5)/9
Let y(j) = 5*j**3 + 139*j**2 + 144*j - 284. Let h(z) = 7*z**3 + 140*z**2 + 144*z - 286. Let g(u) = -4*h(u) + 5*y(u). Find f, given that g(f) = 0.
-2, 1, 46
Let h be 24/(-180) - 62/(-15). Factor -h*i**3 - 4*i**3 + 8*i**5 + 4*i**2 - 24*i**5 - 28*i**4.
-4*i**2*(i + 1)**2*(4*i - 1)
Let c(i) be the second derivative of -1/3*i**6 - 1/7*i**7 + 0*i**3 + 0*i**2 - 11/40*i**5 - 1/12*i**4 + 0 + 3*i. Solve c(s) = 0.
-2/3, -1/2, 0
Let m(x) be the first derivative of 13 - 1/3*x**3 - x + x**2. Let m(n) = 0. What is n?
1
Suppose 12*v - 81 = -32*v + 17*v. Determine k, given that 0*k + 2/13 + 2/13*k**4 + 0*k**v - 4/13*k**2 = 0.
-1, 1
Let u(n) = -n**2 + 5*n + 6. Let j be u(6). Suppose g + 627 = -x + 626, 0 = 5*g - 3*x - 19. Factor j + 1/4*r**g - 1/4*r**3 + 0*r.
-r**2*(r - 1)/4
Factor -43 - 3*f**2 + 43 + 12*f + f**2 - 2*f**3.
-2*f*(f - 2)*(f + 3)
Let a(l) = l**2 - 11*l - 10. Let x be a(12). Let z be (((-4)/8)/(-1))/(x/12). Factor 0 - 2/3*f + 4/3*f**2 - 2/3*f**z.
-2*f*(f - 1)**2/3
Suppose 0 = -3*j + 558 - 546. Solve -2*w**2 - 1/3 - 1/3*w**j + 4/3*w + 4/3*w**3 = 0.
1
Let d(x) be the third derivative of x**6/120 + 11*x**5/20 + 117*x**4/8 + 1183*x**3/6 + 26*x**2. Suppose d(c) = 0. What is c?
-13, -7
Let -2*o**3 - 2*o**2 + 28*o**2 - 2*o**2 + 26*o = 0. Calculate o.
-1, 0, 13
Let t = 47 - 47. Suppose -2*p + 2*s = s - 6, 4*s + 8 = t. Factor 1/3 + 17/3*u**4 - 8/3*u - 28/3*u**3 + 22/3*u**p - 4/3*u**5.
-(u - 1)**4*(4*u - 1)/3
Let y(m) be the first derivative of -1/6*m**3 + m + 0*m**2 - 1 + 1/24*m**4. Let u(t) be the first derivative of y(t). Factor u(o).
o*(o - 2)/2
Let h be 24/540*-15*(-54)/8. Determine o so that 6*o**2 + h - 5/3*o**3 - 9*o + 1/6*o**4 = 0.
1, 3
Let i be 2 - ((0 - 2) + (-2)/(-1)). Suppose 0 = i*c + 4*r - 20, 0*r + 5*r - 25 = -5*c. Determine s so that -s**2 - 1/2*s + c - 1/2*s**3 = 0.
-1, 0
Let m = 2/4847 + 33919/24235. Find h such that -9/5*h**3 + m*h**2 + 2/5 + 9/5*h - 9/5*h**4 = 0.
-1, -2/3, -1/3, 1
Find j, given that -4/7 + 4/7*j**2 - 6/7*j = 0.
-1/2, 2
Suppose 5*x = -4*c + 22, 296*c - 294*c = 6. Factor 4/5*t + 1/5*t**x + 4/5.
(t + 2)**2/5
Let o(k) be the second derivative of k**4/24 - 43*k**3/6 + 1849*k**2/4 - 210*k. Factor o(x).
(x - 43)**2/2
Let w = 9852 + -9852. Factor w - 5/2*t**2 + t.
-t*(5*t - 2)/2
Suppose -17*w = -21*w + 8. Factor -14*o**2 - 3*o + 11*o + 26*o**w + o + 3*o**3.
3*o*(o + 1)*(o + 3)
Let i(c) be the third derivative of c**6/90 - c**5/10 + c**4/3 + 23*c**3/6 - 23*c**2. Let r(f) be the first derivative of i(f). Factor r(v).
4*(v - 2)*(v - 1)
Let d(x) be the first derivative of -x**5/5 - x**4/2 + x**3 + 31. Factor d(n).
-n**2*(n - 1)*(n + 3)
Let f(z) be the first derivative of 2*z**5/5 + 7*z**4/2 + 32*z**3/3 + 12*z**2 + 49. Factor f(b).
2*b*(b + 2)**2*(b + 3)
Let b(n) = -n**2 + 9*n + 3. Let d = 29 + -20. Let x be b(d). Solve -2*a**4 + 3*a**2 - 4*a**3 + 3*a - a**4 + a**x = 0.
-1, 0, 1
Let p(m) = 24*m**2 + 611*m + 405. Let v(l) = -36*l**2 - 917*l - 607. Let t(a) = -7*p(a) - 5*v(a). Factor t(s).
4*(s + 25)*(3*s + 2)
Let m(a) be the first derivative of 2*a**4 - 20*a**3/3 + 10*a**2 - 4*a - 9. Let n(i) = 7*i**3 - 19*i**2 + 20*i - 5. Let v(w) = -3*m(w) + 4*n(w). Factor v(t).
4*(t - 2)*(t - 1)**2
Let h(q) be the third derivative of -1/2*q**6 + 0*q**4 + 0*q + 38*q**2 - 7/15*q**5 + 0 - 4/105*q**7 + 0*q**3. Determine x so that h(x) = 0.
-7, -1/2, 0
Suppose 0*l - 5*l + 15 = 0. Determine g so that -4*g - 15*g**2 - 2*g**l - 4*g**3 + g**3 - 6*g = 0.
-2, -1, 0
Let i(s) be the first derivative of 2*s**5/35 + s**4/7 - 2*s**2/7 - 2*s/7 + 219. Factor i(a).
2*(a - 1)*(a + 1)**3/7
Let f be 4*9/6*(-2)/(-2). Let v(w) be the third derivative of 1/70*w**7 + 1/112*w**8 