1)*(j + 3)/4
Suppose -11*s**4 - 8*s + 2*s**3 + 20*s**4 - 11*s**4 + 14*s**2 - 6*s**2 = 0. Calculate s.
-2, 0, 1, 2
Let o(b) be the second derivative of 1/3*b**4 - 7/2*b**2 - 1/15*b**5 - 2/3*b**3 - 7*b + 0. Let n(r) be the first derivative of o(r). Solve n(a) = 0 for a.
1
Let c(z) = z**2 + 1. Let l(s) = 3*s**2 + 3. Let v(t) = -5*c(t) + 2*l(t). Let u be v(1). Factor -i + 2 - 6 - 5*i - 2*i**u.
-2*(i + 1)*(i + 2)
Let d(y) be the third derivative of 2*y**7/105 + 2*y**6/15 - 28*y**5/15 + 16*y**4/3 + 218*y**2. Let d(u) = 0. Calculate u.
-8, 0, 2
Let y(s) be the second derivative of 2/7*s**2 - 23*s + 0 + 5/42*s**3 + 1/84*s**4. Factor y(k).
(k + 1)*(k + 4)/7
Suppose 23*p**3 + 13*p**3 - 66*p**2 + 32*p + 88196*p**4 - 88198*p**4 = 0. Calculate p.
0, 1, 16
Let q = -728884/7 - -103901. Let d = -225 - q. Factor 0 + d*l**3 - 2/7*l**4 + 0*l + 2/7*l**2 - 2/7*l**5.
-2*l**2*(l - 1)*(l + 1)**2/7
Let w = -22 + 12. Let b(o) = o**3 + 11*o**2 + 12*o + 22. Let z be b(w). Factor -5*x**2 + 6*x**2 - 2*x**4 - x**z + 2*x**3.
-2*x**3*(x - 1)
Let v = 344 - 338. Let r(h) be the first derivative of -2/5*h**5 - h**4 + v + 0*h**3 + 0*h + 0*h**2. Factor r(y).
-2*y**3*(y + 2)
Suppose 6*g - 24 = 4*k, 7*k - 9*k + 24 = 3*g. Let u(j) = -j**2 + 8*j - 9. Let f be u(6). Factor 3/4*l**3 + g*l + f + 15/4*l**2.
3*(l + 1)*(l + 2)**2/4
Let a = -402974 + 193427707/480. Let t = 1/96 + a. Determine z so that -t*z + 2/5*z**3 + 2/5 - 2/5*z**2 = 0.
-1, 1
Let x(c) be the third derivative of 3*c**6/5 - 79*c**5/60 + 5*c**4/24 + c**3/3 + 2*c**2 + 14. Factor x(a).
(a - 1)*(8*a + 1)*(9*a - 2)
Let n(w) be the second derivative of w**7/42 - 7*w**6/150 - 13*w**5/100 + 11*w**4/60 + 4*w**3/15 - 2*w**2/5 + 17*w - 2. Suppose n(u) = 0. What is u?
-1, 2/5, 1, 2
Let h be ((25 - 14)/(-33))/(6 - 175/21). Factor 0 - 1/7*p**2 + h*p.
-p*(p - 1)/7
Suppose -18*t + 5 = -17*t. Find m, given that -102 - 16*m**2 - 4*m**3 - 10*m**5 + 4*m**4 + 98 + 12*m**t - 14*m = 0.
-1, 2
Solve -40/7*h + 64/7 + 4/7*h**2 = 0 for h.
2, 8
Let p(g) = 29*g**3 - 23*g**2 - 25*g - 5. Let f(m) = -25*m**3 + 25*m**2 + 25*m + 5. Let b(y) = -4*f(y) - 5*p(y). Solve b(r) = 0.
-1/3, 1
Factor y + 4*y**3 + 11*y**2 - 5*y**2 + 2*y - 6 - 7*y + 0*y**2.
2*(y - 1)*(y + 1)*(2*y + 3)
Find i such that -289/2 - 17*i - 1/2*i**2 = 0.
-17
Factor -119/2*w + 1/2*w**2 + 0.
w*(w - 119)/2
Determine k so that 16*k**2 - 100/3*k + 8/3 = 0.
1/12, 2
Suppose -23*i + 32*i = 27. Let m(t) be the first derivative of 194*t**4 + 4 - 352/3*t**i + 32*t + 49/3*t**6 - 98*t**5 - 32*t**2. Suppose m(x) = 0. What is x?
-2/7, 2/7, 1, 2
Let i(s) be the second derivative of s**7/168 + 3*s**6/40 + 5*s**5/16 + 9*s**4/16 + 5*s**3/12 - 2*s + 1. Suppose i(q) = 0. Calculate q.
-5, -2, -1, 0
Let g(s) be the first derivative of -s**4/6 + 326*s**3/3 - 26569*s**2 + 8661494*s/3 - 64. Let g(o) = 0. Calculate o.
163
Let m(n) be the first derivative of -5*n**6/6 + 11*n**5 - 45*n**4/2 - 10*n**3/3 + 95*n**2/2 - 45*n - 147. Let m(u) = 0. What is u?
-1, 1, 9
Let o(r) be the first derivative of -r**9/1512 - r**8/350 - 3*r**7/700 - r**6/450 + 17*r**3/3 - 9. Let g(j) be the third derivative of o(j). Factor g(u).
-2*u**2*(u + 1)**2*(5*u + 2)/5
Let i(z) be the second derivative of z**6/75 - 3*z**5/50 - 2*z**4/15 + 2*z - 99. Factor i(f).
2*f**2*(f - 4)*(f + 1)/5
Suppose -44 = -22*r + 11*r. Let d be r + -3*10/15. Factor -6/5*s - 6/5*s**d - 2/5 - 2/5*s**3.
-2*(s + 1)**3/5
Let p(z) be the second derivative of 0 + 21/20*z**5 - z - 5/4*z**4 - 6*z**2 - 8*z**3. Determine k, given that p(k) = 0.
-1, -2/7, 2
Let o(d) be the third derivative of 7*d**6/24 - 29*d**5/12 - 155*d**4/24 + 25*d**3/6 - 76*d**2 - 5*d. Determine p so that o(p) = 0.
-1, 1/7, 5
Let q(v) be the third derivative of -v**7/490 - 27*v**6/140 - 243*v**5/35 - 729*v**4/7 - 166*v**2. Suppose q(i) = 0. Calculate i.
-18, 0
Let d(f) be the first derivative of -f**6/4 - 9*f**5/10 + 15*f**4/8 + 3*f**3/2 - 3*f**2 - 11. Let d(n) = 0. Calculate n.
-4, -1, 0, 1
Let u(p) be the second derivative of p**6/540 + p**5/180 - p**4/18 - p**3 + 6*p. Let x(h) be the second derivative of u(h). Suppose x(n) = 0. Calculate n.
-2, 1
Let h = 817/865 + -25/173. What is f in -h*f**2 + 0 + 4/5*f**4 - 2/5*f + 2/5*f**5 + 0*f**3 = 0?
-1, 0, 1
Let g be 1 - -26*(-4)/8. Let z be ((-18)/g)/((-1)/(-2)). Solve 29*w + 8*w - w + 88*w**z + 150*w**2 + 14*w**4 = 0.
-3, -2/7, 0
Suppose i + 166 = 56. Let p = 331/3 + i. Factor 4/3 - o**3 - p*o**2 + 4*o.
-(o - 2)*(o + 2)*(3*o + 1)/3
Let w(z) = -z**3 - z. Let b(j) = -28*j**3 - 44*j**2 + 120*j - 56. Let m(h) = -b(h) + 4*w(h). Factor m(q).
4*(q - 1)*(2*q + 7)*(3*q - 2)
Let w be (-1 - -1) + (-60)/(-5). Let k(v) = -v**4 + v**3 + v**2 + v. Let j(u) = -u**5 + 3*u**4 - u**3 - 3*u**2 - 4*u. Let s(z) = w*k(z) + 4*j(z). Factor s(l).
-4*l*(l - 1)**2*(l + 1)**2
Factor 11/7*h + 4/7*h**2 - 3/7.
(h + 3)*(4*h - 1)/7
Let v(y) be the second derivative of -y**8/26880 + y**7/10080 + y**6/576 + y**5/160 + 4*y**4/3 + 22*y. Let z(f) be the third derivative of v(f). Factor z(w).
-(w - 3)*(w + 1)**2/4
Let u = -15 - -10. Let t(h) = -2*h**3 - 4*h**2 + 4*h - 5. Let q be t(u). Find g, given that 2*g + q - 125 - 2*g**2 = 0.
0, 1
Suppose -5*k + 0*k - 5*s + 790 = 0, k + 4*s = 149. Let y = -161 + k. What is i in 2/3*i**3 + y*i**2 + 1/3*i**4 - 2/3*i - 1/3 = 0?
-1, 1
Let g(x) = 3*x**2 - 6*x - 15. Let q(m) = -7*m + 7 + 2*m**2 - 13 - 8. Let o(u) = 5*g(u) - 6*q(u). Solve o(f) = 0 for f.
-3, -1
Suppose -9 = -3*m - 0. Suppose 0 = -m*g + 15. Let -3*t**3 + 3*t**g + 3*t**2 - 22 - 3*t**4 + 22 = 0. Calculate t.
-1, 0, 1
Suppose 4*y + 40 + 4*y - y**3 - 10*y**2 + 12*y - 4*y**3 = 0. Calculate y.
-2, 2
Let b(j) be the first derivative of j**4/42 + 2*j**3/21 + 2*j + 9. Let c(o) be the first derivative of b(o). Factor c(l).
2*l*(l + 2)/7
Let p(t) be the third derivative of -3/2*t**5 + 5*t**3 + 3/8*t**6 + 1/21*t**7 + 5/24*t**4 + 0 + 0*t + 18*t**2. Factor p(m).
5*(m - 1)**2*(m + 6)*(2*m + 1)
Let a(x) = 3*x**2 + x - 1. Let d(s) = 4*s**3 - 46*s**2 + 2*s + 10. Let y(g) = 10*a(g) + d(g). Solve y(o) = 0.
0, 1, 3
Let l be (-16)/12 - -1 - 123/9. Let n be l/(-6) + (-1)/3. Determine a so that 0 + 0*a**n + 1/3*a - 1/3*a**3 = 0.
-1, 0, 1
Let p(g) be the first derivative of -4*g**3/15 - 44*g**2/5 + 884. Factor p(j).
-4*j*(j + 22)/5
Let v = 1 - -1. Let w be 34/4 + 2/(-4). Factor -2*l**3 + w - v*l - 4*l**2 - 8.
-2*l*(l + 1)**2
Let t(v) = -19*v**5 - 106*v**4 - 85*v**3 + 86*v**2 + 105*v + 20. Let x(h) = -h**5 + h**4 - h**2. Let b(k) = -t(k) - x(k). Determine j so that b(j) = 0.
-4, -1, -1/4, 1
Let c(u) be the second derivative of -1/14*u**4 + 0 + 1/35*u**5 + 0*u**3 + 0*u**2 + 1/105*u**6 - 15*u. Factor c(r).
2*r**2*(r - 1)*(r + 3)/7
Let j = 112601/9 + -12511. Factor 4/9*b + 0 + j*b**3 + 2/3*b**2.
2*b*(b + 1)*(b + 2)/9
Solve -16 + 124/3*h - 2/3*h**4 + 32/3*h**3 - 106/3*h**2 = 0 for h.
1, 2, 12
Let a(u) be the second derivative of u**5/80 - 7*u**4/48 - u + 36. Find v such that a(v) = 0.
0, 7
Let b(g) = 12*g**2 + 12*g - 24. Let f(c) = c**2 - c. Let n(u) = -b(u) - 8*f(u). Factor n(z).
-4*(z - 1)*(5*z + 6)
Let g(f) be the third derivative of 5*f**8/336 - f**7/14 - 5*f**6/24 + f**5/4 + 5*f**4/6 - 687*f**2. Solve g(n) = 0.
-1, 0, 1, 4
Let j be 3/1 - (-4)/(-4). Let o = 640/1179 - 42/131. Solve o*l**j - 2/3*l + 0 = 0.
0, 3
Let g(s) be the second derivative of -5*s**4/12 + 5*s**3/3 + 15*s**2/2 - 239*s. Suppose g(p) = 0. What is p?
-1, 3
Suppose -5*h + 3*j = 138, j = -h - 24 - 2. Let l = h + 29. Factor 2*n + 4 - l*n**4 + 2*n**3 + 0*n**3 + 6*n**2 - 6*n - 6*n.
-2*(n - 1)**3*(n + 2)
Let 7*s**3 + 10*s**5 + 723*s**4 + 3*s**2 - 718*s**4 - 9*s**5 = 0. What is s?
-3, -1, 0
Let g = -14 - -16. Suppose g*f - 2 - 4 = 0. Factor -7*h + 0*h**2 + 12*h - 3*h**2 - 9 - 3*h**f + 10*h.
-3*(h - 1)**2*(h + 3)
Factor -13/2*g + 5 + 1/2*g**3 + g**2.
(g - 2)*(g - 1)*(g + 5)/2
Let k(y) be the second derivative of y**6/10 - 12*y**5/5 + 45*y**4/2 - 100*y**3 + 375*y**2/2 - 37*y. Suppose k(i) = 0. Calculate i.
1, 5
Let 288 - 16*x + 2/9*x**2 = 0. Calculate x.
36
Let g = -2567 - -12837/5. Factor 0 + 1/5*j**3 - g*j**2 + 1/5*j.
j*(j - 1)**2/5
Let c(v) = -v**2 - 17*v. Let z be c(0). Find u, given that z + 2/13*u - 6/13*u**2 = 0.
0, 1/3
Let o(y) be the second derivative of -y**6/45 + 7*y**5/30 + 14*y**4/9 + 20*y**3/9 + 133*y. Suppose o(x) = 0. What is x?
-2, -1, 0, 10
Suppose 5*