g(t) be the first derivative of 1/24*t**6 + 73/16*t**4 - 43/3*t**3 - 16*t + 22*t**2 - 7/10*t**5 + 23. Factor g(v).
(v - 4)**3*(v - 1)**2/4
Let j(a) = -50*a**4 - 30*a**3 + 150*a**2 + 179*a + 49. Let f(i) = 25*i**4 + 15*i**3 - 75*i**2 - 89*i - 24. Let z(g) = -11*f(g) - 6*j(g). Factor z(h).
5*(h - 2)*(h + 1)**2*(5*h + 3)
Let a(j) = j**2 + 12*j - 28. Let s be a(-14). Factor s*t**2 + 15*t + 49 - t**2 - t + 2*t**2.
(t + 7)**2
Let s(r) = r**5 - r**4 - r**3 + 2*r**2 - r. Let u(b) = -5*b**5 - 7*b**4 - b**3 + 5*b**2 + 8*b. Let h(y) = -2*s(y) - u(y). Determine q, given that h(q) = 0.
-2, -1, 0, 1
Let g(d) be the third derivative of -d**7/525 + 7*d**6/300 - 7*d**5/75 + 2*d**4/15 - 450*d**2. Factor g(q).
-2*q*(q - 4)*(q - 2)*(q - 1)/5
Determine q so that -2/5*q**5 + 0*q + 0 + 6/5*q**4 + 2/5*q**3 - 6/5*q**2 = 0.
-1, 0, 1, 3
Let z(o) be the first derivative of o**6/120 + o**5/20 + o**4/12 - 7*o - 14. Let p(b) be the first derivative of z(b). Suppose p(v) = 0. Calculate v.
-2, 0
Let q = 11973/4 + -2993. Factor q*u**2 - 3/4*u + 1/2.
(u - 2)*(u - 1)/4
Let a(x) be the third derivative of -x**8/224 + x**7/28 - 3*x**6/80 - x**5/8 + x**4/4 - x**2 + 102*x. Suppose a(j) = 0. Calculate j.
-1, 0, 1, 4
Let p(n) be the third derivative of n**7/420 + n**6/90 - n**5/60 - n**4/6 + n**3/2 + 4*n**2. Let u(v) be the first derivative of p(v). Factor u(w).
2*(w - 1)*(w + 1)*(w + 2)
Let r(x) be the third derivative of x**10/37800 - x**9/1890 + x**8/280 - 3*x**6/20 - 7*x**5/12 + 15*x**2. Let t(p) be the third derivative of r(p). Factor t(i).
4*(i - 3)**3*(i + 1)
Let w(a) be the third derivative of a**5/15 - a**4 - 18*a**3 + 458*a**2. Factor w(l).
4*(l - 9)*(l + 3)
Let t(o) be the first derivative of 3*o**3 - 29/6*o**2 + 2/3*o + 8. Factor t(y).
(y - 1)*(27*y - 2)/3
Suppose -93*w + 45 = -139 - 2. Determine v, given that 39/5*v**3 - 21/5*v - 12/5 + 42/5*v**w - 12*v**4 + 12/5*v**5 = 0.
-1/2, 1, 4
Suppose -k + f = -9, -f = 2*k + 3*f - 36. Factor -2 - 1 + 4*v**2 - k*v + 11.
4*(v - 2)*(v - 1)
Solve 2/21*f**2 + 2/21 + 4/21*f = 0 for f.
-1
Let f(z) = z**5 - 2*z**4 + 4*z**3 + 14*z**2 - z + 2. Let b(a) = -3*a**5 + 6*a**4 - 11*a**3 - 41*a**2 + 4*a - 6. Let j(c) = -6*b(c) - 17*f(c). Solve j(t) = 0.
-2, 1
Let v(l) = l**5 + 4*l**4 - l**2 - l. Let a(m) = m**5 + 9*m**4 + 10*m**3 + 6*m**2 - 2*m. Let j(o) = 3*a(o) - 6*v(o). Find q such that j(q) = 0.
-2, -1, 0, 4
Let g(x) be the third derivative of -x**8/336 - 2*x**7/105 - x**6/24 - x**5/30 + 98*x**2. Suppose g(f) = 0. Calculate f.
-2, -1, 0
What is v in -11/3*v - 2*v**2 - 5/3 = 0?
-1, -5/6
Factor -86/3*t + 92/9*t**2 - 2/9*t**3 + 0.
-2*t*(t - 43)*(t - 3)/9
Suppose 7 - 1/6*d**3 - 7*d**2 + 1/6*d = 0. Calculate d.
-42, -1, 1
Let q = -762/35 + 111/5. Determine o so that q*o**2 - 3/7 + 0*o = 0.
-1, 1
Let j be ((-36)/(-10))/(2/395). Suppose -147*z**5 + 16*z**4 + 873*z**2 + 36 + 312*z + j*z**3 + 96*z**3 + 47*z**4 = 0. Calculate z.
-1, -2/7, 3
Let u(h) = -h**5 - h**3 - h**2 + 1. Let l(v) = -15*v**5 - 10*v**4 - 45*v**3 + 10*v**2 + 20. Let y(i) = l(i) - 20*u(i). Determine z so that y(z) = 0.
-2, 0, 1, 3
Let b(r) = -r**3 - r**2 + r + 3. Let v be b(-2). Suppose v = -5*c + 25. Find l, given that 6*l**2 - 2*l**3 + 13*l - 6*l**3 + 153*l**c - 8 - 5*l - 151*l**4 = 0.
-1, 1, 2
Let x(o) = 3*o**5 + o**3. Suppose 3*j - 7 + 19 = 0. Let t(g) = -12*g**5 - 3*g**3. Let v(q) = j*t(q) - 15*x(q). Factor v(i).
3*i**3*(i - 1)*(i + 1)
Let g be 45/21 - ((-899)/(-31) + -27). What is f in 5/7*f - g*f**2 - 6/7 = 0?
2, 3
Let r = -153 - -2143/14. Let j(s) be the first derivative of -1/21*s**6 + 1 + 0*s**3 + 0*s + 0*s**2 + 0*s**5 + r*s**4. Factor j(d).
-2*d**3*(d - 1)*(d + 1)/7
Let l(p) = -5*p**2 + 6*p - 1. Let a(d) be the third derivative of 0 + 4/15*d**5 + 0*d - d**2 - 3/4*d**4 + 1/3*d**3. Let w(k) = 3*a(k) + 10*l(k). Factor w(f).
-2*(f - 2)*(f - 1)
Let l(y) = 3*y**4 - 3*y**3 - 13*y**2 + 5*y + 10. Let w(j) = -5*j**4 + 5*j**3 + 25*j**2 - 10*j - 20. Let d(h) = -5*l(h) - 2*w(h). Let d(g) = 0. What is g?
-1, 1, 2
Suppose -2 = 3*t + 4, 4*l - 4*t + 188 = 0. Let q = l - -295/6. Find c such that -1/2*c + 1/6 - q*c**3 + 1/2*c**2 = 0.
1
Let n(p) be the first derivative of -p**3/6 - 13*p**2 - 338*p - 91. Factor n(r).
-(r + 26)**2/2
Let l(c) be the first derivative of -c**5/14 + 19*c**4/28 + 4*c**3/7 - c**2/2 + c + 55. Let h(z) be the second derivative of l(z). What is b in h(b) = 0?
-1/5, 4
Let f = 8 - 4. Let l = 81660 - 408296/5. Determine x so that l*x**2 + 0*x + 2/5*x**f - 6/5*x**3 + 0 = 0.
0, 1, 2
Let f(h) be the second derivative of -h**6/105 + h**5/10 - 5*h**4/42 - h**3/3 + 6*h**2/7 + 23*h - 1. What is k in f(k) = 0?
-1, 1, 6
Determine t, given that 2/15*t**3 - 4/15*t**2 + 0 + 0*t = 0.
0, 2
Let k(a) be the first derivative of 13 + 1/75*a**6 + 4/5*a**2 + 3/25*a**5 + 4/5*a**3 + 13/30*a**4 - 3*a. Let c(j) be the first derivative of k(j). Factor c(v).
2*(v + 1)**2*(v + 2)**2/5
Let l(o) be the second derivative of o**4/36 + 10*o**3/9 - 7*o**2/2 - 362*o. Determine r so that l(r) = 0.
-21, 1
Let w(o) be the first derivative of -o**6/30 - 48*o**5/25 - 192*o**4/5 - 4096*o**3/15 + 22. Factor w(v).
-v**2*(v + 16)**3/5
Let s(a) be the third derivative of a**8/1512 + a**7/135 - a**6/180 - 19*a**5/270 + 7*a**4/54 + 676*a**2. Solve s(k) = 0.
-7, -2, 0, 1
Let q be -4 + (-5)/6 + 5019/882. Factor 0*x**2 + q*x**3 + 0 - 3/7*x**4 + 0*x.
-3*x**3*(x - 2)/7
Suppose 165*u = 307 + 23. Factor -1/3*o**3 - 2/3 + 0*o**u + o.
-(o - 1)**2*(o + 2)/3
Let v(p) be the third derivative of -1/240*p**5 + 1/24*p**3 + 0*p + 0 + 0*p**4 - 7*p**2. Suppose v(s) = 0. What is s?
-1, 1
Let b be -2 + (-9)/(-1) + 2379/(-351). Let 0*r + 8/9 - b*r**2 = 0. Calculate r.
-2, 2
Let a = 43545 - 43541. What is l in -12/5*l**3 - 2/5*l**a - 24/5*l - 26/5*l**2 - 8/5 = 0?
-2, -1
Let y be 51/(-85)*(1*-1 - 4). Determine u so that -15 + 0*u**2 + y*u**3 + 2*u**3 - 20*u + 25*u**2 + 5*u**3 = 0.
-3, -1/2, 1
Let c = 31 + -29. Suppose -4*r - i + 0*i + 33 = 0, -c*r + 4*i + 12 = 0. What is o in 2*o**4 + 27*o - 2*o**5 + r*o**2 - 8*o**4 - 27*o = 0?
-2, 0, 1
Let w be -2 + 1491/(-12) - 33/44. Let l = w - -890/7. Determine r so that 1/7*r**3 - 2/7*r - l*r**2 + 0 = 0.
-1, 0, 2
Let z(q) be the first derivative of 5/12*q**3 + 10 + 1/4*q**4 + 1/4*q**2 + 0*q + 1/20*q**5. What is s in z(s) = 0?
-2, -1, 0
Let y = -177 - -225. Let a be (120/y + 4/(-2))*1. Determine b so that -1/2*b**3 + 1/2*b - 1/2*b**2 + a*b**4 + 0 = 0.
-1, 0, 1
Suppose -16*t + 51 = -13. Suppose 1/2*u**2 + 1/4*u**5 + 0*u**3 - 1/2*u**t + 0 - 1/4*u = 0. What is u?
-1, 0, 1
Let p(w) be the third derivative of w**5/180 - 29*w**4/36 - 26*w**2 + 2. Factor p(a).
a*(a - 58)/3
Let v be 16/(-6)*((-6)/(-4) - -3). Let a(w) = w**2 + 12*w + 4. Let f be a(v). Factor 12/7*k**f + 18/7*k + 4/7 + 4*k**3 + 2/7*k**5 + 32/7*k**2.
2*(k + 1)**4*(k + 2)/7
What is h in -4514*h**3 - 3*h + 4*h**4 + 32*h**2 - 13*h + 4494*h**3 = 0?
0, 1, 2
Let i be 820/120 + -3 + 2/(-6). Factor j**2 - i*j**3 + 5/2*j**4 + 0 + 0*j.
j**2*(j - 1)*(5*j - 2)/2
Suppose -4*q + i + 7 + 28 = 0, 4*i - 20 = 0. Let j be q + -1*(-6)/(-2). Let -1 + f - 2 + 2*f**2 - j*f - 5*f**2 = 0. What is f?
-1
Let h(j) be the third derivative of -j**8/1680 + j**7/175 - 3*j**6/200 + j**5/75 - 114*j**2. Suppose h(f) = 0. Calculate f.
0, 1, 4
Factor -90 - 90*v + 5/2*v**3 + 5/2*v**2.
5*(v - 6)*(v + 1)*(v + 6)/2
Let p = 2103 + -14717/7. Solve -4/7 + 4/7*h**2 + p*h**3 - 4/7*h = 0 for h.
-1, 1
Suppose -3144/13*g**2 - 112*g - 192/13 - 98/13*g**4 - 1428/13*g**3 = 0. What is g?
-12, -2, -2/7
Let i(c) be the third derivative of -c**9/30240 - c**8/1440 - 29*c**5/60 + 2*c**2. Let b(y) be the third derivative of i(y). Factor b(p).
-2*p**2*(p + 7)
Let x = -185 + 185. Let l(h) be the third derivative of 15/2*h**3 + 11*h**2 + x*h + 0 - 5/4*h**4 + 1/12*h**5. Factor l(o).
5*(o - 3)**2
Let q(d) be the first derivative of 3/4*d**5 + 15/4*d**4 + 15*d**2 + 25 + 1/16*d**6 + 12*d + 10*d**3. Solve q(s) = 0 for s.
-2
Let k(o) be the first derivative of -2/3*o**3 - 72*o + 12*o**2 + 29. Suppose k(b) = 0. Calculate b.
6
Let h(k) be the third derivative of k**5/15 - 7*k**4/3 - 10*k**3 + 40*k**2. Factor h(n).
4*(n - 15)*(n + 1)
Let r(q) = q**4 - 8*q**3 - 11*q**2 + 8*q + 18. Let j(l) = l**4 + 2*l**2 + 1. Let i(n) = 6*j(n) - 3*r(n). Factor i(u).
3*(u - 1)*(u + 1)*(u + 4)**2
Factor -1744*f**2 + 857*f**2 - 116*f