w - 6)*(w - 1)
Let p be 6 - ((-12)/(-30) + (-8)/(-5)). Solve 4*c + 3 + p - 2*c**2 - 2*c**2 - 3 - 4*c**3 = 0.
-1, 1
Let c(m) be the third derivative of 0*m + 6/65*m**5 + 12*m**2 - 5/13*m**4 + 0 + 25/39*m**3. Factor c(g).
2*(6*g - 5)**2/13
Let p = -43981/5 - -8797. Suppose -8/5*w**2 + 4/5*w**4 + p - 2/5*w**5 - 2/5*w + 4/5*w**3 = 0. Calculate w.
-1, 1, 2
Let o(k) be the first derivative of -k**5/60 + k**4/18 + k**3/18 - k**2/3 - 2*k + 4. Let r(p) be the first derivative of o(p). Factor r(x).
-(x - 2)*(x - 1)*(x + 1)/3
Determine k so that -26*k**2 + 0 - 2*k + 27/2*k**3 = 0.
-2/27, 0, 2
Let u be (-5)/(-25)*0 + 34. Find p such that p**2 + 3*p**5 + 4*p**4 - 3*p**3 + 5*p**4 - 35 - 36*p - u*p**2 + 23 = 0.
-2, -1, 2
Let k(f) = f - 12. Let x be k(6). Let t be 2 + (-51)/(-10) - x/(-4). Factor 1/5*p - t*p**3 - 2/5 + 29/5*p**2.
-(p - 1)*(4*p + 1)*(7*p - 2)/5
Let c = 88 - 76. Suppose 19*a - c = 16*a. Let -7/2*i**2 - 5/2*i**5 + 3/2*i**3 + i + 7/2*i**a + 0 = 0. What is i?
-1, 0, 2/5, 1
Let v = 1765/3 + -588. Let u(g) be the second derivative of v*g**4 + 0 + 0*g**2 + 0*g**3 + 4*g - 1/10*g**5 - 1/15*g**6. Suppose u(b) = 0. Calculate b.
-2, 0, 1
Let m(q) be the third derivative of 4/57*q**3 - 1/1995*q**7 + 0*q + 5/228*q**4 - 1/228*q**6 - 1/190*q**5 + 0 - 5*q**2. Suppose m(b) = 0. Calculate b.
-4, -1, 1
Suppose 3 = 3*x - 2*w + 5*w, -4*x = 5*w. Suppose 3*y - v = -2*y + 1, 2*v = -x*y - 2. Factor 1/2*c**3 + 2*c**4 + 0*c + y - c**2 - 3/2*c**5.
-c**2*(c - 1)**2*(3*c + 2)/2
Factor 13350*k**3 + 1135*k**4 - 3*k**5 + 4496182*k**2 - 103036*k**3 - 13280*k**3 - 349*k**4 + k**5.
-2*k**2*(k - 131)**3
Let a(v) = v**3 - 15*v**2 - 17*v + 18. Let x be a(16). Let h(i) be the first derivative of 1/3*i**3 + 5 + i + i**x. Find s such that h(s) = 0.
-1
Let w = 146 + -727/5. What is k in -1/5*k**2 + w*k**4 + k**3 - 2/5 - k = 0?
-1, -2/3, 1
Let x(n) = n**2 - 3*n + 5. Let v be x(2). Determine y, given that y**4 + 3*y - 2*y**2 - 6*y**2 + 3*y**2 + y**v = 0.
-3, 0, 1
Let u(a) be the second derivative of 0*a**4 - 3*a - 3/80*a**5 + 0*a**2 - 12 + 1/8*a**3. Suppose u(r) = 0. What is r?
-1, 0, 1
Let 110/9*g + 100/9 + 20/9*g**4 - 44/9*g**3 - 2/9*g**5 - 56/9*g**2 = 0. Calculate g.
-1, 2, 5
Let o = -77 - -79. Let f(j) be the first derivative of -4/5*j + 1/10*j**4 + 4 - 8/15*j**3 + j**o. Factor f(w).
2*(w - 2)*(w - 1)**2/5
Let g(l) be the second derivative of 1/357*l**7 + 0*l**2 - 3/170*l**5 + 0 - 1/255*l**6 + 5/102*l**4 - 2/51*l**3 - 5*l. Factor g(r).
2*r*(r - 1)**3*(r + 2)/17
Suppose -5*u = -4*u - 3, -5*h = 4*u + 448. Let s = h - -371/4. Factor -3/4*q**3 + 1/4*q**4 + s*q**2 - 1/4*q + 0.
q*(q - 1)**3/4
Suppose -2*m + 60 - 52 = 0. Solve -8/7*v**3 - 2/7*v**m + 0 + 0*v - 8/7*v**2 = 0.
-2, 0
Let k be (-501)/(-125) + (-19)/((-133)/(-28)). Let h = 257/875 - k. Factor 0 + h*j - 2/7*j**2.
-2*j*(j - 1)/7
Let d = 7703 - 7701. Find v, given that 0*v + 0 - 2/9*v**d = 0.
0
Find v, given that 22*v**3 + 15*v**2 - 36 + 26*v**3 + 24*v - 51*v**3 = 0.
-2, 1, 6
Let d(s) be the first derivative of 2*s**2 + 5/6*s**4 - 7/3*s**3 + 4*s + 3. Let q(n) be the first derivative of d(n). Suppose q(z) = 0. Calculate z.
2/5, 1
Let t be (-13)/65 - (-208)/(-10). Let o = 26 + t. Suppose 10 + 6*p - 10*p**3 + 17*p + 2*p + o*p**2 = 0. What is p?
-1, -1/2, 2
Let -32/5 - 4/5*b**2 + 24/5*b = 0. Calculate b.
2, 4
Let t(x) be the third derivative of -x**6/24 + x**5 + 310*x**2. What is l in t(l) = 0?
0, 12
Factor 0 - 2*q - 2/3*q**2.
-2*q*(q + 3)/3
Suppose -2*r + 16*r + 21*r - 140 = 0. What is n in 4/7*n**2 - 26/7*n**r - 22/7*n**3 + 0*n + 0 = 0?
-1, 0, 2/13
Let i(g) = 14*g**2 - 57*g - 128. Let b(p) = -6*p**2 + 28*p + 64. Let x(s) = -9*b(s) - 4*i(s). Suppose x(j) = 0. Calculate j.
-8, -4
Let o = -25093 - -25095. Determine z so that -z**3 + 3/4*z - 1/4*z**o + 0 = 0.
-1, 0, 3/4
Let v = -16171/3 + 113245/21. Factor -68/7*p + 24/7 + 8*p**2 + 4/7*p**5 - v*p**4 + 0*p**3.
4*(p - 3)*(p - 1)**3*(p + 2)/7
Let u = -2474 + 4949/2. Factor 1/2 - u*c**2 - 1/4*c**3 + 1/4*c.
-(c - 1)*(c + 1)*(c + 2)/4
Factor 36/5*h**2 + 69/5*h + 34/5 + 1/5*h**3.
(h + 1)**2*(h + 34)/5
Let v(g) be the third derivative of 1/672*g**8 - 35 + 0*g + 0*g**3 + 3/40*g**6 + 1/6*g**4 + 1/6*g**5 + 1/60*g**7 - 2*g**2. Factor v(i).
i*(i + 1)*(i + 2)**3/2
Let i(j) = j**2 - 9*j - 5. Let l be i(10). Suppose 7*s - 4*s**2 - 13*s + 12*s**3 - 4*s**l - 2*s + 4*s**4 = 0. Calculate s.
-1, 0, 1, 2
Let x be (-46 - -60)*(-2)/(-14)*2. Let u(v) be the first derivative of -2/21*v**3 - 2/35*v**5 + 3/14*v**x - 3/7*v**2 + 1 + 4/7*v. Find q, given that u(q) = 0.
-1, 1, 2
Let k(t) be the first derivative of -4*t**3/9 - 380*t**2/3 - 36100*t/3 - 482. Solve k(v) = 0.
-95
Let r(f) = -f - 3. Let s be r(-5). Let z = 4 - s. Factor 13*h**3 - 13*h**2 - 3*h**3 + 17*h**z.
2*h**2*(5*h + 2)
Let b = -1/952 - -1915/10472. Factor 2/11*d**2 + 2/11*d - 2/11*d**3 + 0 - b*d**4.
-2*d*(d - 1)*(d + 1)**2/11
Let b be 2*(-8 - (-657)/81). Let t(x) be the first derivative of b*x**3 + 11 - 1/6*x**4 + 1/3*x**2 + 0*x - 2/15*x**5. Suppose t(z) = 0. What is z?
-1, 0, 1
Let h(g) be the first derivative of -g**6/540 - g**5/60 - g**4/18 - 14*g**3/3 + 1. Let l(q) be the third derivative of h(q). Factor l(w).
-2*(w + 1)*(w + 2)/3
Let o be 62/6 + (-4)/12. Let u = o + -6. Factor 6*g**u + 3*g**5 + 2*g**2 + g**5 - 2*g**5 + 6*g**3 + 0*g**4.
2*g**2*(g + 1)**3
Let c be ((-30)/105)/(8/(-98)). Suppose -2*l = -t - 3*t + 26, 0 = 2*t - 5*l - 33. Solve -5*b - 3/2*b**2 + c*b**t - 2 + 17/4*b**3 + 3/4*b**5 = 0.
-2, -1, -2/3, 1
Let p(h) be the third derivative of 11/8*h**4 - 3 - 13*h**2 + 1/6*h**5 + 0*h - 1/112*h**8 - 19/210*h**7 + 3/2*h**3 - 1/4*h**6. Solve p(k) = 0 for k.
-3, -1, -1/3, 1
Suppose 0 = -23*k + 81*k - 232. Let 31/8*j**3 - 15/8*j + 3*j**k - 2*j**5 - 11/4*j**2 - 1/4 = 0. Calculate j.
-1, -1/4, 1, 2
Suppose 0 = 14*c - 4*c - 20. Factor 0*h - 1/3*h**5 + 0 - 1/3*h**4 + 0*h**c + 0*h**3.
-h**4*(h + 1)/3
Let a(j) be the first derivative of 2*j**5/5 - j**4 + 2*j**3/3 - 265. Solve a(b) = 0 for b.
0, 1
Let f(r) be the second derivative of -1/150*r**6 + 3/50*r**5 + 7*r - 13/60*r**4 - 2/5*r**2 + 0 + 2/5*r**3. Factor f(j).
-(j - 2)**2*(j - 1)**2/5
Let c(j) be the second derivative of j**7/168 - j**6/36 + j**5/24 - 5*j**3/2 + 9*j. Let o(m) be the second derivative of c(m). Determine f, given that o(f) = 0.
0, 1
Let v(l) be the first derivative of -l**4/16 - 5*l**3/4 + 33*l**2/8 - 17*l/4 + 517. Factor v(q).
-(q - 1)**2*(q + 17)/4
Factor 3/5*z**4 - 12/5 - 3*z**3 + 9/5*z**2 + 3*z.
3*(z - 4)*(z - 1)**2*(z + 1)/5
What is t in -36/5*t - 69/5*t**2 + 0 + 3/5*t**4 - 6*t**3 = 0?
-1, 0, 12
Let y(r) be the third derivative of r**8/5040 - r**6/540 + r**4/72 - r**3 - 5*r**2. Let t(m) be the first derivative of y(m). Factor t(n).
(n - 1)**2*(n + 1)**2/3
Let q(x) = 11*x**4 + 155*x**3 + 799*x**2 + 1534*x + 985. Let y(g) = -5*g**4 - 77*g**3 - 399*g**2 - 766*g - 493. Let a(s) = -3*q(s) - 7*y(s). Factor a(c).
2*(c + 2)**3*(c + 31)
Let j(k) be the second derivative of -1/10*k**4 - 1/100*k**5 - 3/10*k**3 + 0*k**2 + 0 - 3*k. Factor j(w).
-w*(w + 3)**2/5
Let a(h) be the first derivative of 5*h**2 - 5/2*h**4 + 5/3*h**3 - 18 + 0*h - h**5. Factor a(p).
-5*p*(p - 1)*(p + 1)*(p + 2)
Factor -2/11*j**2 - 34/11*j - 32/11.
-2*(j + 1)*(j + 16)/11
Let k(q) be the third derivative of -q**5/20 - 79*q**4/8 + 395*q**2. Find y, given that k(y) = 0.
-79, 0
Let n(z) be the first derivative of -5*z - 8/39*z**3 - 1/13*z**2 + 7 - 8/39*z**4. Let f(u) be the first derivative of n(u). Determine y so that f(y) = 0.
-1/4
Let r(n) = -2*n**4 - 2*n**3 + 1. Let y(t) = -27*t**4 + 128*t**3 - 275*t**2 - 250*t + 6. Let o(i) = -6*r(i) + y(i). Find q such that o(q) = 0.
-2/3, 0, 5
Find m such that -7/3*m**3 - 4/3*m**5 - 13/3*m**4 + 2/3 + 11/3*m + 11/3*m**2 = 0.
-2, -1, -1/4, 1
Let o = -2619/5 - -524. Let i(h) be the second derivative of -o*h**2 + 1/50*h**5 + 0 - 1/10*h**4 + 1/5*h**3 + 3*h. What is d in i(d) = 0?
1
Suppose 5*x - 13 = 12. Suppose -3*b + 7*v = 3*v - 8, 4*v + 16 = x*b. Suppose -54 + 4*i + b*i**2 + 54 + 0*i**2 = 0. Calculate i.
-1, 0
Factor -161*z - 99*z - 40 - 2*z**4 + 42*z**2 + 0*z**4 + 17*z**3 + 3*z**4 + 240.
(z - 2)*(z - 1)*(z + 10)**2
Let x be 4/(-12) - (-32)/6. Suppose -2*r = x - 9. Determine c, given that -6 + 3*c**3 + 2 + 9*c**r - 8 = 0.
-2, 1
Suppose 7084*t + 30 = 7099*t. Let 0 + 2*k + 2/3*k**t = 0. Ca