-0*w. Factor -4*t - t**2 + 0 - 1 - 7 + w.
-(t + 2)**2
Let j(w) be the second derivative of w**6/60 + w**5/8 - 13*w**4/24 + 7*w**3/12 - 101*w. Factor j(a).
a*(a - 1)**2*(a + 7)/2
Let p(q) be the second derivative of -49*q**6/50 + 27699*q**5/100 + 7299*q**4/10 + 3038*q**3/5 + 228*q**2 - 7*q - 89. Determine y so that p(y) = 0.
-1, -2/7, 190
Let x(i) = -2*i + 31. Let y be x(14). Suppose 5*g - y*g = 0. Determine z, given that -2/5*z**5 + 0*z**2 - 2/5*z**4 + 0*z**3 + 0 + g*z = 0.
-1, 0
Let -66/7*b**4 - 177/7*b**3 - 57/7*b - 162/7*b**2 - 6/7 = 0. Calculate b.
-1, -1/2, -2/11
Let g(b) be the third derivative of -b**6/900 + 26*b**5/225 - 28*b**2 - b. Let g(t) = 0. Calculate t.
0, 52
Let s = -15730 - -15733. Suppose 0 - 3/2*n**2 + s*n = 0. Calculate n.
0, 2
Let i(g) = -151*g**3 - 256*g**2 - 108*g + 8. Let z(y) = -301*y**3 - 511*y**2 - 216*y + 14. Let x(r) = 7*i(r) - 4*z(r). Factor x(w).
3*w*(7*w + 6)**2
Suppose 737*b = 741*b - 20. Factor -4/7*t**4 + 0 + 2/7*t**3 + 2/7*t**b + 0*t**2 + 0*t.
2*t**3*(t - 1)**2/7
Let s(f) be the second derivative of 2*f**6/45 + 8*f**5/15 + 17*f**4/9 + 20*f**3/9 - 2*f - 38. Factor s(o).
4*o*(o + 1)*(o + 2)*(o + 5)/3
Let h(x) be the second derivative of -x**7/252 - x**6/9 - 13*x**5/20 + 55*x**4/18 - 121*x**3/36 - 6*x. Factor h(u).
-u*(u - 1)**2*(u + 11)**2/6
Find m, given that -1/9*m**4 - 1/9*m**2 - 2/9*m**3 + 0 + 0*m = 0.
-1, 0
Let w(b) = -b**2 - 6*b - 5. Let y be w(-5). Let k be (-80)/(-960) - 1/12. Factor 0 + 1/2*l**4 - 1/2*l**3 + y*l + k*l**2.
l**3*(l - 1)/2
Let q(f) be the first derivative of -f**6/6 + f**5/5 + 3*f**4/2 + 201. Factor q(s).
-s**3*(s - 3)*(s + 2)
Solve -o**5 + 1/3*o**4 + 6*o**2 + 1/3*o + 6*o**3 - 1 = 0 for o.
-1, 1/3, 3
Let v(r) be the first derivative of r**6/20 + 13*r**5/30 + r**4/3 - r**2/2 - 11. Let s(n) be the second derivative of v(n). Determine p so that s(p) = 0.
-4, -1/3, 0
Suppose 24*u - 16*u - 160 = 0. Solve 4*f - 4*f**2 + u*f**2 + f**5 + 3*f**5 - 8 - 8*f**3 - 8*f**4 = 0 for f.
-1, 1, 2
Let i(c) be the second derivative of c**4/6 + 4*c**3/3 - 4*c + 17. Find r, given that i(r) = 0.
-4, 0
Let r(z) = -4*z**2 + 29*z - 17. Let n(f) = 3*f**2 - 24*f + 16. Let x(w) = -5*n(w) - 4*r(w). Factor x(l).
(l - 2)*(l + 6)
Let n be 7/14 + (-5)/(-2). Let c be ((-12)/5)/(n/(-10)). Factor -8*v**4 - c*v**2 + 20*v**3 - 4*v**4 + 0*v**4.
-4*v**2*(v - 1)*(3*v - 2)
Let z(o) be the second derivative of 0 + 0*o**2 + 1/2*o**4 + 0*o**3 + 13*o - 1/5*o**6 + 3/40*o**5 - 1/28*o**7. Let z(u) = 0. Calculate u.
-4, -1, 0, 1
Let d(g) be the third derivative of 1/90*g**5 + 1/945*g**7 + 0 + 0*g - 1/180*g**6 + 0*g**3 - 1/108*g**4 - 10*g**2. Factor d(z).
2*z*(z - 1)**3/9
Let j(v) be the third derivative of -v**7/20160 - v**6/1920 - v**5/480 + 25*v**4/24 - 33*v**2. Let t(u) be the second derivative of j(u). Solve t(n) = 0 for n.
-2, -1
Let j(k) be the first derivative of k**6/10 - 3*k**5/10 + k**4/4 + 5*k - 5. Let d(q) be the first derivative of j(q). Factor d(c).
3*c**2*(c - 1)**2
Suppose o - 2*t = -2, -16 = -2*o - 2*o + 2*t. Suppose -7*m + 4 = -5*m. Factor 3 - m*j - 2*j**2 + o - 5.
-2*(j - 1)*(j + 2)
Let v(x) be the first derivative of -x**8/112 - 3*x**7/70 + x**5/5 - 13*x**2/2 - 10. Let r(s) be the second derivative of v(s). Factor r(i).
-3*i**2*(i - 1)*(i + 2)**2
Let l(h) be the second derivative of -5*h**4/12 + 145*h**3/2 - 383*h. Let l(t) = 0. What is t?
0, 87
Let t(a) = a**2 + 6*a + 1. Let b be t(-7). Suppose y - 3*m + b = -2, -6 = -5*y + m. Determine p, given that 0 + 0*p - 2/5*p**y = 0.
0
Let h = 15 + 18. Let k = -15 + h. Let -14*i - 11*i**2 + 62*i - 45*i**2 - 8 + k*i**3 - 2*i**2 = 0. Calculate i.
2/9, 1, 2
Suppose 0*i = 2*i - 4. Suppose 0 = -w + i*w - 2. Determine b so that 24*b**3 - 38*b**3 + 2*b**w + 2*b**2 = 0.
0, 2/7
Let x = -2301/2 - -1151. What is o in -6*o**4 + 2*o**2 + 9/2*o**5 + 0 - o**3 + x*o = 0?
-1/3, 0, 1
Let v = -32 - -56. Suppose -n + 7*n = v. Solve -16/5*b**2 + 9/5*b - 6/5*b**n + 1/5*b**5 - 2/5 + 14/5*b**3 = 0 for b.
1, 2
Let u be 328/88 + 6/22. Let i(s) be the second derivative of 2*s - s**3 + 0 + 1/6*s**u + 2*s**2. Factor i(l).
2*(l - 2)*(l - 1)
Suppose -3*r + 3*d - 5 = -2*r, 2*d = -2*r + 14. Factor -3*c + 6*c**3 + 17*c + 52*c**2 + 22*c - r*c.
2*c*(c + 8)*(3*c + 2)
Let s(j) be the first derivative of -j**5/150 + j**4/3 - 20*j**3/3 - 5*j**2 - 30. Let h(g) be the second derivative of s(g). Factor h(a).
-2*(a - 10)**2/5
Factor -64 - 122*s**2 - 171*s**2 + 332*s - 31*s**2 - 44*s.
-4*(9*s - 4)**2
Let x(f) be the second derivative of -f**2 - 1/6*f**4 + 0 + 2/3*f**3 - 14*f. Find z, given that x(z) = 0.
1
Let f(p) = -5*p**2 - 168*p - 538. Let n be f(-30). Solve -1/4*x**n - 1/4*x + 1/4*x**3 + 1/4 = 0 for x.
-1, 1
Let t(u) = -3*u**3 - 654*u**2 + 53141*u + 53787. Let f(s) = -2*s**3 - 327*s**2 + 26571*s + 26893. Let n(j) = -10*f(j) + 6*t(j). Factor n(d).
2*(d - 164)**2*(d + 1)
Suppose 3*q - 2*y - 4 = 0, 5*q - 4*y + 2 - 10 = 0. Let 2 + q*x + x**3 + 6 - 2*x**3 - 2*x**2 + 4*x = 0. What is x?
-2, 2
Let x = 132141/2470 - -2/1235. Let h = x + -53. Factor -h + p**2 + 7/4*p.
(p + 2)*(4*p - 1)/4
Let y(s) = -s**2 + 29*s - 111. Let k be y(24). Let w be 4/(-10) - k/(-10) - -1. Solve t + w*t**3 - 7/2*t**2 - 5/2*t**5 + 0 + 7/2*t**4 = 0 for t.
-1, 0, 2/5, 1
Let h(c) = -c**2 + 32*c - 320. Let w(k) = -k + 1. Let g(s) = -h(s) + 4*w(s). Factor g(i).
(i - 18)**2
Let g(j) be the third derivative of -j**5/90 - 31*j**4/36 + 22*j**3/3 - 305*j**2. Suppose g(i) = 0. Calculate i.
-33, 2
Determine y, given that -11*y**2 - 15*y**2 - 900 + 7*y - 14*y**2 + 39*y**2 - 67*y = 0.
-30
What is j in 10/3*j**3 - 3 - 10/3*j + 1/3*j**4 + 8/3*j**2 = 0?
-9, -1, 1
Let t(y) = 6*y**3 + 33*y**2 + 27*y. Let f(l) = -l**3 - 2*l**2 - l. Let p(g) = -20*f(g) - 4*t(g). Determine v so that p(v) = 0.
-22, -1, 0
Let m be ((-27)/(-81))/((-2)/(-12)). Suppose 0 = o - f, -m*f = -4*o + f. Solve o*q + 0 + q**3 + q**4 + 1/4*q**5 + 0*q**2 = 0 for q.
-2, 0
Let m(x) be the first derivative of 30*x**5/17 + 151*x**4/17 + 766*x**3/51 + 160*x**2/17 + 8*x/17 + 186. Solve m(v) = 0.
-2, -1, -2/75
Let s = -39 - -42. Let a be 5 - 6/3 - s. Factor 0 + a*y - 2/7*y**2.
-2*y**2/7
Solve -346*r**2 + 28812*r - 490979 + r**3 - 450213 + 52*r**2 = 0.
98
Let t(a) be the third derivative of -2/45*a**5 - 4/315*a**7 + 26*a**2 + 0*a + 1/504*a**8 + 1/30*a**6 + 1/36*a**4 + 0 + 0*a**3. Factor t(r).
2*r*(r - 1)**4/3
Suppose 3*k + 57 = 2*q, 4*q - 3*k = 171 - 48. Let y = -33 + q. Factor 2/9*j**4 + 0*j**2 - 2/9*j**3 + 0 + y*j.
2*j**3*(j - 1)/9
Suppose -2*o + w = 5*w - 484, 444 = 2*o - 4*w. Let g be o/360 + -2*1/10. Let g*u**2 - 10/9*u**3 + 10/9*u**5 + 0*u - 4/9*u**4 + 0 = 0. Calculate u.
-1, 0, 2/5, 1
Factor -4/5*r + 1 - 1/5*r**2.
-(r - 1)*(r + 5)/5
Let f(j) be the second derivative of j**6/120 - j**5/40 - j**4/12 + j**3/3 + 4*j + 13. Factor f(m).
m*(m - 2)**2*(m + 2)/4
Let w(a) = -a**3 + 11*a**2 + 15*a - 4. Let g(y) = 4*y - 4. Let x be g(4). Let b be w(x). Let 12*q + 5*q**4 + 3*q**3 - b*q + 17*q**3 - 5*q**2 = 0. Calculate q.
-4, -1, 0, 1
Let b(s) be the second derivative of s**5/5 + 61*s**4/3 - 250*s**3/3 + 126*s**2 + 295*s. Determine w so that b(w) = 0.
-63, 1
Let r be ((-7)/14)/(2/(-12)). Factor -r - 3*l**4 + 77*l + 6*l**2 - 77*l.
-3*(l - 1)**2*(l + 1)**2
Suppose 2 - 4 + 402*j**2 + 47*j**3 + 126*j + j**3 + 232*j**3 + 6 = 0. Calculate j.
-1, -2/5, -1/28
Let y be 20/(120/18) - 3/2. Factor -15/2*u**2 - y + 6*u + 3*u**3.
3*(u - 1)**2*(2*u - 1)/2
Let 9/2*y - 4*y**3 - 3*y**4 + 3*y**2 - 1/2*y**5 + 0 = 0. What is y?
-3, -1, 0, 1
Let n(c) = -19*c + 117. Let j be n(6). Let i(h) be the first derivative of -8/3*h + 5/3*h**2 - 2/9*h**j - 3. Solve i(m) = 0.
1, 4
Let j(y) = -y**3 + 26*y - 5. Let g be j(5). Solve 0*l + 0*l**3 + 0*l**2 + 1/6*l**4 + g = 0 for l.
0
Factor -53*f**2 - 60*f**2 - 4*f**3 + 7*f**3 - 33*f - 18 - 59*f**2 + 160*f**2.
3*(f - 6)*(f + 1)**2
Let d be 3 + (-16)/5 - 7/(-35). Let i(t) be the third derivative of 0 - 5/16*t**4 - 1/6*t**3 - 7/30*t**5 - t**2 + d*t. Let i(c) = 0. What is c?
-2/7, -1/4
Let r = -2753 - -2756. Find g, given that 2/3 + 1/3*g**r + g**2 - 1/3*g**4 - 5/3*g = 0.
-2, 1
Let i(a) be the first derivative of -a**5/30 - a**4/3 + 3*a + 17. Let h(t) be the first derivative of i(t). Let h(p) = 0. What is p?
-6, 0
Let k(b) = -b + 9. Let f be k(6). Suppose -5*t + 3 - 9 - 2*t**2 + f*t**2 = 0. What is t?
-1