1)*(s + 3)/3
Let z be 34/(-9) + (-32)/144. Let s be (-3)/(-12) + 1/z. Factor -1/3*l**4 + 1/3*l**2 + 0 + s*l + 0*l**3.
-l**2*(l - 1)*(l + 1)/3
Let q be 8/2 - (8/4 - 92/(-115)). Find n such that 0 + 9/5*n**3 - 3/5*n**4 - q*n**2 + 0*n = 0.
0, 1, 2
Suppose -2/15*b**2 - 4/15*b + 0 + 2/15*b**3 = 0. What is b?
-1, 0, 2
Let j(b) be the first derivative of b**5 - 20*b**4 + 120*b**3 - 320*b**2 + 400*b - 229. Suppose j(l) = 0. Calculate l.
2, 10
Factor -26/11*y**2 - 48/11*y - 18/11 - 4/11*y**3.
-2*(y + 3)**2*(2*y + 1)/11
Let m = -1/11857 + 758851/35571. Factor 64*o + 10/3*o**3 + 28*o**2 + m.
2*(o + 4)**2*(5*o + 2)/3
Let i(t) be the third derivative of -t**8/70560 + t**6/2520 + t**5/60 + 11*t**2. Let m(p) be the third derivative of i(p). Factor m(l).
-2*(l - 1)*(l + 1)/7
Let u = 44 - 32. Let n be 131/u + (-12)/48. Solve -4/3*c**3 - n*c - 20/3*c**2 - 16/3 = 0.
-2, -1
Let r(o) be the third derivative of -1/6*o**4 - 21*o**2 - 1/60*o**5 - 1/6*o**3 + 0*o + 0 + 1/20*o**6. Determine k, given that r(k) = 0.
-1/2, -1/3, 1
Let a(u) be the third derivative of -2/9*u**3 + 3*u**2 - 1/10*u**5 - 1/315*u**7 - 1/36*u**6 + 0 - 7/36*u**4 + 0*u. Factor a(d).
-2*(d + 1)**3*(d + 2)/3
Let o(j) be the second derivative of j**4/48 + j**3/4 + j**2 - 4*j + 3. Factor o(q).
(q + 2)*(q + 4)/4
Let v(o) be the second derivative of o**7/10080 - o**6/1440 + o**5/480 + 7*o**4/6 - 4*o. Let m(b) be the third derivative of v(b). Solve m(t) = 0.
1
Let i(n) = -113*n**2 - 3 - 7 + 93*n**2 + 20*n - 5*n**3. Let j(d) = -d**4 - d**2 - d. Let a(s) = -i(s) + 5*j(s). Factor a(l).
-5*(l - 1)**3*(l + 2)
Factor -244*p + 3*p**2 - p**2 + 290*p + 0*p**2.
2*p*(p + 23)
Let 81 - 87/2*v + 3/2*v**2 = 0. What is v?
2, 27
Let q = -633 - -633. Let j(w) be the third derivative of -w**2 - 1/420*w**6 + q*w + 1/84*w**4 + 0 + 2/21*w**3 - 1/105*w**5. What is p in j(p) = 0?
-2, -1, 1
Let 10/9*s + 0 + 2/9*s**2 - 10/9*s**3 - 2/9*s**4 = 0. What is s?
-5, -1, 0, 1
Let r = -808/27 + 4202/135. Factor 1/5*w + r - 1/5*w**2.
-(w - 3)*(w + 2)/5
Let n = 12 - 7. Suppose 5*g = n*b - 15, -7*b + 5*b - 5*g = 1. Let 6*y - y**b + 3*y - 9*y - 1 + 2*y = 0. Calculate y.
1
Let g(q) be the second derivative of 0*q**2 + 1/6*q**4 - q + 1/3*q**3 + 0. Factor g(z).
2*z*(z + 1)
Suppose -2*c - 2 + 8 = 0. Suppose -c*l - l + 212 = 0. Suppose -53*f + l*f - 2*f**2 + 2*f**3 = 0. What is f?
0, 1
Let q(o) be the first derivative of 3*o**5/5 - 21*o**4/2 - 15*o**3 - 163. What is r in q(r) = 0?
-1, 0, 15
Suppose 0 + 1/5*z**2 - 4/5*z = 0. Calculate z.
0, 4
Let a(t) = -t**5 + t**4 - t. Let m(b) = 2*b**5 - 11*b**3 + 7*b**2 - 5*b. Let y(u) = -35*a(u) + 5*m(u). Suppose y(o) = 0. Calculate o.
-1, -2/9, 0, 1
Determine r, given that -12*r**4 - 152/5*r**2 - 18/5*r**5 + 24/5*r + 0 + 262/5*r**3 = 0.
-6, 0, 1/3, 2
Let h = -4821 - -43403/9. Factor -32/9*d + h*d**2 + 8/3 - 2/9*d**3.
-2*(d - 3)*(d - 2)**2/9
Let q be (40/(-15) - -2)*15. Let w = q - -17. What is b in w*b**3 - 7*b**3 + 10*b**3 + 11*b**4 - 6*b**4 + 5*b**2 = 0?
-1, 0
Let u(s) be the first derivative of s**5 - 5*s**4/4 - 5*s**3 + 5*s**2/2 + 10*s + 17. Factor u(b).
5*(b - 2)*(b - 1)*(b + 1)**2
Let d be (-1)/((12/(-4))/(-42)*-2). Suppose -4*t = 12, d + 2 = -w - 3*t. Suppose 2/7*s - 2/7*s**3 + 0*s**2 + w = 0. Calculate s.
-1, 0, 1
Let n = -7184 + 50290/7. Solve 0 + 10/7*p**2 - n*p**4 + 6/7*p + 2/7*p**3 = 0.
-1, 0, 3
Suppose -7*s + 2*s + 20 = 0. Let k be 0/(1/1*-1). Factor k*x - 2*x**2 + 0 + 0 + 2*x + s.
-2*(x - 2)*(x + 1)
Suppose -6*f = 8 + 10. Let y be 7/(-4)*-2*1 + f. Find g, given that -4*g**2 - y*g - 5/2*g**3 + 1 = 0.
-1, 2/5
Let n be 15/(-30) + (45/12 - 3). Let j = 71/44 + -15/11. Suppose -n*o + j*o**2 + 1/4*o**3 - 1/4 = 0. What is o?
-1, 1
Let f be 4/(-10) - (-831)/15. Suppose 20*h - 24 = 8*h. Let 61*m**3 + 147*m**3 + f*m**4 - 151*m**4 - 48*m - 8*m**2 - 8 + h*m**2 = 0. Calculate m.
-1/4, 2/3, 2
Let f = -165 - -183. Let r be -4 + f/3 - 0. Factor r - 8*k + 7/2*k**2.
(k - 2)*(7*k - 2)/2
Let t(m) be the third derivative of -m**7/70 + 13*m**6/40 + 3*m**5/4 - 13*m**4/8 - 7*m**3 + m**2 + 4*m. Factor t(x).
-3*(x - 14)*(x - 1)*(x + 1)**2
Suppose -12*y + 10*y - 140 = 0. Let k = 106 + y. Factor -c**2 - k*c**5 - 24*c**4 + 3 - 3 + 11*c**3.
-c**2*(c + 1)*(6*c - 1)**2
Factor 157*h**3 + 157*h**3 - 313*h**3 + 16875*h + 421875 + 225*h**2.
(h + 75)**3
Let r(l) be the first derivative of -15*l**4/16 - 17*l**3/4 - 6*l**2 - 3*l - 987. Factor r(o).
-3*(o + 1)*(o + 2)*(5*o + 2)/4
Let k = -29752/3 + 152171/15. Let m = -227 + k. Factor -2*j + 6/5*j**2 - 2/5*j**4 + 4/5 + m*j**3.
-2*(j - 1)**3*(j + 2)/5
Let p(o) be the third derivative of o**5/30 - 5*o**4/4 - 16*o**3/3 + 35*o**2. Factor p(t).
2*(t - 16)*(t + 1)
Let z(d) be the first derivative of -2*d**3/3 + 140*d**2 - 9800*d - 97. Factor z(t).
-2*(t - 70)**2
Let t be (((-25)/(-10))/5)/((-2)/4). Let m be (-38)/(-12) - (t + 4). Factor 2/3*v + m*v**2 + 2/3.
(v + 2)**2/6
Let f be -11 + -42*11/(-33). Let t(n) be the first derivative of -8 + 1/7*n**5 - 1/4*n**4 + 1/2*n**2 - 1/7*n**f - 2/7*n. Factor t(o).
(o - 1)**2*(o + 1)*(5*o - 2)/7
Let l(b) = -2*b**3 + 3*b**2 + 8*b - 3. Let y(x) = 3*x**3 - 2*x**2 - 11*x + 2. Let o(u) = -4*l(u) - 3*y(u). Factor o(w).
-(w - 1)*(w + 1)*(w + 6)
Let z = 1124 - 1122. Solve 0 + 9/4*m**z + 3/4*m + 9/4*m**3 + 3/4*m**4 = 0.
-1, 0
Let x(o) be the first derivative of o**3/15 + 17*o**2/10 + 66*o/5 - 518. Factor x(q).
(q + 6)*(q + 11)/5
Let x(s) be the third derivative of s**9/241920 + s**8/10080 + s**7/960 + s**6/160 + s**5/5 + 36*s**2. Let l(j) be the third derivative of x(j). Factor l(y).
(y + 2)*(y + 3)**2/4
Let i be (3 - 50/15)*-12. Solve 8*x - 9*x**4 - 6*x**3 + 14*x**4 - 3*x**i = 0.
-1, 0, 2
Factor -28 - 282*d**3 - 27*d + 284*d**3 + 42*d + 31*d - 20*d**2.
2*(d - 7)*(d - 2)*(d - 1)
Let i(k) = 19*k**2 + 231*k + 94. Let w(n) = -78*n**2 - 924*n - 378. Let m(o) = 9*i(o) + 2*w(o). Factor m(f).
3*(f + 15)*(5*f + 2)
Let r(k) = -2*k**2 - 6*k. Let w(n) = n**2 + n. Let b be (3*(-3)/2)/((-63)/(-84)). Let v(a) = b*w(a) - r(a). Find g, given that v(g) = 0.
0
Let t(i) be the first derivative of 5*i**3/3 - 735*i**2 + 108045*i - 486. Find y, given that t(y) = 0.
147
Solve -14*n**3 + 91*n**5 + 26*n**4 - 6*n - 138*n**5 - 26*n**2 + 67*n**5 = 0.
-1, -3/10, 0, 1
Let a(m) be the third derivative of -7/66*m**4 + 49/33*m**3 - 6*m**2 + 1/330*m**5 + 0*m + 0. Determine u, given that a(u) = 0.
7
Let p(d) be the third derivative of 1/25*d**5 + 11*d**2 + 0 + 2/15*d**3 - 2/15*d**4 + 0*d. Determine g, given that p(g) = 0.
1/3, 1
Suppose -m - 12 = -4*k, -5*m + 4 = 3*k - 7*m. Factor -33/5*u**k + 0*u + 0 - 6/5*u**3 + 0*u**2 - 27/5*u**5.
-3*u**3*(u + 1)*(9*u + 2)/5
Let h(p) be the third derivative of 2*p**7/105 + 7*p**6/30 + p**5/3 - 7*p**4/6 - 4*p**3 + 4*p**2 - 13*p. Factor h(k).
4*(k - 1)*(k + 1)**2*(k + 6)
Factor -768*a**3 + 783*a**3 - 7 + 18*a**2 + 7 - 12*a + 6*a**2.
3*a*(a + 2)*(5*a - 2)
Let n(h) = -3 + 6 + 0 - 1 + h. Let q be n(1). Factor -1 - 5*l - q*l**3 + 1 + 8*l**3.
5*l*(l - 1)*(l + 1)
Let w(f) = 10*f**3 - 53*f**2 + 24*f - 33. Let b be w(5). Let 7/2*a**2 - 11/2*a**4 - 12*a + 2 + b*a**3 = 0. What is a?
-1, 2/11, 1, 2
Determine l so that 33/4*l**2 + 3/2*l**3 + 21/4 - 15*l = 0.
-7, 1/2, 1
Let c(b) be the first derivative of 22*b**5/15 + 230*b**4/3 + 4256*b**3/3 + 29008*b**2/3 - 10976*b/3 + 173. Solve c(t) = 0.
-14, 2/11
Let a(d) be the third derivative of d**8/42 + 4*d**7/15 - 7*d**6/12 - 11*d**5/15 + 17*d**4/12 + 8*d**3/3 + 251*d**2. Determine t so that a(t) = 0.
-8, -1/2, 1
Let t = -1/90 + 1/9. Let u(r) be the second derivative of -1/3*r**4 - t*r**5 + 0*r**2 + 0 + 3*r - 1/3*r**3. Factor u(f).
-2*f*(f + 1)**2
Let k(a) be the first derivative of -5*a**4/4 - 15*a**3 - 15*a**2 + 80*a + 239. Factor k(b).
-5*(b - 1)*(b + 2)*(b + 8)
Let f(l) = 2*l**2 - 150*l - 2740. Let d(t) = 2*t**2 - t - 1. Let q(w) = 4*d(w) - 2*f(w). Determine j so that q(j) = 0.
-37
Let j be (-49)/(-6) - (-2)/(-12). Suppose -3 + 3*i**2 - 1 + 14*i - 5*i - j = 0. What is i?
-4, 1
Let i = -215 + 220. Let u(m) be the second derivative of 4/3*m**3 - 2/5*m**i + 1/6*m**4 - m**2 - 8*m + 0. Determine k, given that u(k) = 0.
-1, 1/4, 1
Suppose 14*h = 2*h. Let z(m) = -m**2 + 3*m + 2. Let v be z(3). Find d, given that -2/5*d**v + h*d + 2/5 = 0.
-1, 1
Let a = 4/2749 - -65948/19243. Find f, given that -10/7*f**4 + 0 + a*f**3 - 18/7*f**2 + 4