c + 2)/5
Let p(o) = -o**2 - 5*o + 4. Let l be p(-4). Factor -5*q**3 - l*q**5 - 3*q**3 - 2962*q**4 + 2942*q**4.
-4*q**3*(q + 2)*(2*q + 1)
Let q(p) be the third derivative of 0 - 1/27*p**4 + 0*p - 4/27*p**3 + 13*p**2 - 1/270*p**5. Let q(m) = 0. Calculate m.
-2
Suppose -14*c + 253 + 251 = 0. Suppose 4*g - 48 + c = 0. Factor 4/3*d**4 + 0*d**2 + 8/3*d**g - 4/3 - 8/3*d.
4*(d - 1)*(d + 1)**3/3
Factor -5*x**2 + 0 + 1/2*x**4 + 9/2*x**3 + 0*x.
x**2*(x - 1)*(x + 10)/2
Let h = -327/2 + 164. Suppose 5*y + 4*d - 31 = 0, 4*y - d = 10 - 2. Factor -h*g**5 + 0 - 2*g**4 - y*g**3 - 2*g**2 - 1/2*g.
-g*(g + 1)**4/2
Let l(a) be the second derivative of 5/12*a**4 - 10/3*a**3 + 10*a**2 + 0 + 3*a. Factor l(n).
5*(n - 2)**2
Suppose -7*u - 455 = -4*u + 2*r, 5*r = 10. Let l = 460/3 + u. Factor 0*h + 0 + l*h**2 + 1/6*h**3.
h**2*(h + 2)/6
Let s(u) be the first derivative of -2*u**3/51 - 10*u**2/17 - 50*u/17 - 82. What is z in s(z) = 0?
-5
Let g(b) be the third derivative of 961*b**6/480 + 31*b**5/40 + b**4/8 + 4*b**3 + 24*b**2. Let p(i) be the first derivative of g(i). Factor p(k).
3*(31*k + 2)**2/4
Let h(w) be the first derivative of -702*w**3/17 + 132*w**2/17 - 8*w/17 - 448. Factor h(s).
-2*(27*s - 2)*(39*s - 2)/17
Let w = 45 - 43. Suppose 20*p**3 + 15*p**2 + 15*p**w + 45*p - 90*p**2 - 10 = 0. What is p?
1/2, 2
Suppose 2*m = 5*h - 17, -h + 4*m = 9*m + 2. Factor -4/9 - 28/9*a + 56/9*a**h - 11/3*a**2 - 16/9*a**4.
-(a - 2)**2*(4*a + 1)**2/9
Find v such that -5 - 1/2*v**3 + 7/2*v + 2*v**2 = 0.
-2, 1, 5
Let c(w) be the third derivative of w**6/120 + 5*w**5/36 + 7*w**4/9 + 8*w**3/9 - 73*w**2. Find p, given that c(p) = 0.
-4, -1/3
Suppose 4*w - 3*l = 240, -2*w + 0*w = -4*l - 120. Let a = w + -60. Factor 0*y**4 + a*y**2 + 0 + 4/5*y**3 - 2/5*y - 2/5*y**5.
-2*y*(y - 1)**2*(y + 1)**2/5
Let x(i) = -2*i + 34. Let l be x(16). Suppose 0 = -5*y + 14 - 4. Factor 7*b + y*b - 8*b**2 - 5*b + 0*b**l + 4.
-4*(b - 1)*(2*b + 1)
Let k(s) be the third derivative of -s**3 + 0*s + 1/6*s**4 + 13*s**2 + 1/30*s**5 + 0. Factor k(q).
2*(q - 1)*(q + 3)
Let v = -160 - -162. Let o(g) be the second derivative of 1/4*g**4 - v*g + 0 - 3/40*g**5 + 0*g**2 + 0*g**3. Solve o(z) = 0 for z.
0, 2
Let a(y) = -y**2 + 10*y + 8. Let t be a(12). Let n = t + 20. Factor 50*w**n + 22*w**2 - 94*w**2 + 3*w + 6*w + 60*w**3 + 7*w.
2*w*(w + 2)*(5*w - 2)**2
Suppose 15*i - 2*x + 8 = 14*i, 5*i = 5*x - 10. Factor 5/6*o**3 + 1/2*o**2 + 0 + 1/6*o**i - 3/2*o.
o*(o - 1)*(o + 3)**2/6
Let n(b) be the third derivative of -b**8/1344 + b**7/420 + b**6/80 - b**5/12 + 19*b**4/96 - b**3/4 + 47*b**2. Solve n(t) = 0 for t.
-3, 1, 2
Let k(c) be the third derivative of -c**5/15 - 5*c**4/3 + 22*c**3/3 - c**2 + 17. Let k(w) = 0. What is w?
-11, 1
Let i(s) = -s**2 + 30. Let u be i(-13). Let w = u + 139. Determine h so that -1/2*h**2 + w + 0*h + 1/4*h**3 = 0.
0, 2
Let i(q) be the third derivative of q**7/210 - q**6/24 - 13*q**5/60 - 7*q**4/24 + 2*q**2 - 109*q. Determine l so that i(l) = 0.
-1, 0, 7
Factor 68/7*q + 20/7*q**2 - 48/7.
4*(q + 4)*(5*q - 3)/7
Suppose 5*v = 5*y + 20, -4*v - 978 = 4*y - 1010. Determine m, given that 33/2*m - 3/2*m**y - 15 = 0.
1, 10
Let y = 57 + -81. Let z be (2 + y/9)*-12. Factor 35*n**4 + 7*n**4 + z*n**2 - 40*n**3 + 0*n**3.
2*n**2*(3*n - 2)*(7*n - 2)
Let w(a) = -2*a**2 + 3. Let u(o) = -o**4 + 17*o**3 - 51*o**2 + 43*o - 5. Let k(f) = -u(f) + 3*w(f). Let k(j) = 0. Calculate j.
1, 14
Let z be ((-8)/120*5)/(-4*(-6)/(-48)). Factor x**3 + z*x**2 + 0*x**4 + 0*x + 0 - 1/3*x**5.
-x**2*(x - 2)*(x + 1)**2/3
Let w(m) be the second derivative of -m**5/30 + m**4/18 + 4*m**3/9 - 4*m**2/3 + m - 17. Factor w(h).
-2*(h - 2)*(h - 1)*(h + 2)/3
Let g = 2917/5 - 583. Let i be (3/(-2) + 1)/((-190)/76). Factor -g + 1/5*z**2 - i*z.
(z - 2)*(z + 1)/5
Let b(d) = -3*d - 2. Let a be b(10). Let h = a + 36. Suppose -2*g**2 - 7 + g**3 + g**h + 0*g**2 + 7 = 0. What is g?
-2, 0, 1
Let a = 10 + -6. Suppose m = -3 + 5. Factor 3*w**2 + 4 + 24*w + a - 3*w**2 - 30*w**3 - m*w**2.
-2*(w - 1)*(3*w + 2)*(5*w + 2)
Let r = 81 - 84. Let w be ((-3)/1 + r)*1/(-4). Factor 0 - w*c**2 - 3/4*c - 3/4*c**3.
-3*c*(c + 1)**2/4
Let r = -103 + 212. Suppose 4*c**5 - r*c - 4*c**3 + 109*c = 0. Calculate c.
-1, 0, 1
Let r be 5/((-90)/4) + ((-6096)/756 - -10). Find o such that -3/7*o**4 - 12/7*o + r + 12/7*o**3 - 9/7*o**2 = 0.
-1, 1, 2
Let r(g) = g**2 + 7*g + 15. Let y be r(-5). Let f(h) be the third derivative of -1/8*h**4 + 0 + 0*h + 3/4*h**3 - y*h**2 + 1/120*h**5. Find a such that f(a) = 0.
3
What is w in 0 - 6/5*w + 1/5*w**2 = 0?
0, 6
Let -12*l**4 + 8*l**3 - 177*l**5 + 181*l**5 - 35*l**2 + 35*l**2 = 0. What is l?
0, 1, 2
Let i(p) be the third derivative of -p**7/7140 + p**6/612 - p**5/510 - 2*p**4/51 - p**3/6 - 26*p**2. Let b(w) be the first derivative of i(w). Factor b(d).
-2*(d - 4)*(d - 2)*(d + 1)/17
Let c = 24 - 22. Let -82*l**c + 3*l**3 - 2*l**5 + 82*l**2 - l**5 = 0. What is l?
-1, 0, 1
Let w = 464/2079 - 2/2079. Factor 0*y - w*y**2 + 0.
-2*y**2/9
Let q(a) be the third derivative of 1/228*a**4 + 0 + 0*a - 1/57*a**3 + 17*a**2 - 1/1140*a**6 + 1/570*a**5. Suppose q(l) = 0. Calculate l.
-1, 1
Find a, given that -229*a - 32*a**4 + 382*a**2 - 574*a**3 + 23 - 130*a**3 + 344*a**2 = 0.
-23, 1/4, 1/2
Let r(p) be the third derivative of 1/50*p**5 + 0*p - 1/75*p**6 + 0 + 1/525*p**7 + 30*p**2 + 1/15*p**4 - 4/15*p**3. Factor r(g).
2*(g - 2)**2*(g - 1)*(g + 1)/5
Suppose -26/5*s**2 - 28/5*s - 8/5*s**3 - 2 = 0. What is s?
-5/4, -1
Let v(t) be the second derivative of 0 - 3/10*t**5 + 0*t**2 + 0*t**4 + 32*t + 0*t**3 + 1/10*t**6. Solve v(g) = 0 for g.
0, 2
Let l(z) be the third derivative of 0 + 0*z**3 + 0*z**4 + 1/630*z**7 + 0*z**5 - 1/2016*z**8 + 0*z - 33*z**2 + 0*z**6. What is i in l(i) = 0?
0, 2
Let c(r) be the third derivative of 7*r**5/45 + 11*r**4/36 + 2*r**3/9 - 8*r**2 + 3*r. Let c(b) = 0. What is b?
-1/2, -2/7
What is y in -10*y**2 - 4 + 18/5*y**3 + 54/5*y - 2/5*y**4 = 0?
1, 2, 5
Let s(h) be the first derivative of -h**6/120 - h**5/20 - h**4/8 + 2*h**3/3 + 10. Let a(d) be the third derivative of s(d). What is z in a(z) = 0?
-1
Let v(w) be the second derivative of w**5/170 - 7*w**4/102 + 2*w**3/17 + 48*w + 4. What is b in v(b) = 0?
0, 1, 6
Let v(z) be the first derivative of 15 - 4/15*z**3 - 4/5*z**2 + 12/5*z. Suppose v(y) = 0. What is y?
-3, 1
Let n be (-1)/(-7)*((-7)/4)/(-1). Let y(q) be the second derivative of 0*q**2 + 1/2*q**3 - 4*q + 0 - n*q**4. Let y(r) = 0. Calculate r.
0, 1
Let x = -2457839/420 - -5852. Let v(u) be the third derivative of 0*u**3 - x*u**5 + 0 - 1/168*u**4 + 5*u**2 + 0*u. What is a in v(a) = 0?
-1, 0
Let l(w) be the second derivative of w**9/21168 + w**8/5880 + w**7/5880 - 7*w**3/3 - 23*w. Let m(j) be the second derivative of l(j). Find f such that m(f) = 0.
-1, 0
Suppose -12*c = -1807 + 439. Let q be c/12 - (-2)/4. Solve -q + 5*g**3 + 15/2*g**2 - 10*g - 5/2*g**4 = 0.
-1, 2
Let j(w) be the third derivative of -32*w**2 + 3/110*w**5 + 20/33*w**3 - 1/660*w**6 + 0 - 2/11*w**4 + 0*w. Factor j(n).
-2*(n - 5)*(n - 2)**2/11
Let x(f) be the first derivative of -f**6/10 + 57*f**5/25 + 3*f**4/20 - 19*f**3/5 + 156. Suppose x(p) = 0. What is p?
-1, 0, 1, 19
Factor 243*v + 270*v**2 + 0 + 3/4*v**4 + 111/4*v**3.
3*v*(v + 1)*(v + 18)**2/4
Let g(i) be the third derivative of -289*i**5/300 - 17*i**4/20 - 3*i**3/10 - 3*i**2 + 1. Factor g(m).
-(17*m + 3)**2/5
Find g such that 417/4*g**3 + 11931/4*g - 1681/2 - 5/4*g**4 - 8981/4*g**2 = 0.
2/5, 1, 41
Factor -2/11*k**4 - 12/11*k**3 - 20/11*k - 6/11 - 24/11*k**2.
-2*(k + 1)**3*(k + 3)/11
Suppose 8/9 + 7/9*b**2 - 1/9*b**3 - 14/9*b = 0. What is b?
1, 2, 4
Let q be (-10)/75*-10 + 2/3. Factor -10 - 2*b**3 + 11 - 2*b + 3*b**4 + b**q - 5*b**2 + 4*b**3.
(b - 1)*(b + 1)**2*(3*b - 1)
Let a(m) be the first derivative of -m**4/36 + 5*m**3/18 - 15*m + 10. Let l(d) be the first derivative of a(d). Factor l(f).
-f*(f - 5)/3
Let i be 9/(-12) - (-13)/(-4). Let z(a) = 2*a**4 - a**3 - 4*a**2 - 4*a. Let b(k) = k**4 + k**2 - k. Let v(f) = i*b(f) + 4*z(f). Factor v(y).
4*y*(y - 3)*(y + 1)**2
Let r = 393 + -388. Let h(b) be the first derivative of 0*b**2 - 4 + 0*b + 1/2*b**6 + 2*b**3 - 6/5*b**r - 3/4*b**4. Find z such that h(z) = 0.
-1, 0, 1, 2
Let x(k) be the third derivative of -k**6/24 + k**5/6 + 5*k**4/24 - 5*k**3/3 - 68*k**2. Determine r so that x(r) = 0