actor 2/21*l**2 + 1014/7 - 52/7*l.
2*(l - 39)**2/21
Let s(x) be the first derivative of 0*x**2 + 1/12*x**3 - 1/20*x**5 + 1/24*x**6 + 50 - 1/16*x**4 + 0*x. Factor s(d).
d**2*(d - 1)**2*(d + 1)/4
Let n(g) be the first derivative of 3*g**5/5 + 45*g**4 + 1350*g**3 + 20250*g**2 + 151875*g - 66. Find a, given that n(a) = 0.
-15
Let j = -625 - -42497/68. Let w = j + 105/68. Determine d so that -w*d + 0 + 1/2*d**2 = 0.
0, 3
Solve -1/6*h**2 - 49/6 - 7/3*h = 0.
-7
Let h(k) be the second derivative of -3*k**5/140 + 2*k**4/7 + 10*k**3/7 - 2*k - 18. Factor h(n).
-3*n*(n - 10)*(n + 2)/7
Let o(j) be the second derivative of 2*j**7/21 - 14*j**6/15 - 3*j**5/5 + 19*j**4/3 + 28*j**3/3 + 258*j. Let o(h) = 0. Calculate h.
-1, 0, 2, 7
Let a(h) be the first derivative of 6 - 4/5*h**3 - 9/10*h**2 + 3/5*h. Determine r, given that a(r) = 0.
-1, 1/4
Let 25*j**2 + 5*j**4 - 1389 + 30*j**3 + 1389 = 0. What is j?
-5, -1, 0
Suppose 40 = 68*o - 48*o. Let p(h) be the second derivative of -5/12*h**4 + 0 + 2*h**o + 8*h - 4/3*h**3. Factor p(n).
-(n + 2)*(5*n - 2)
Let g(o) be the first derivative of 30 + 2*o + o**3 + 9/2*o**2 - o**4. Factor g(s).
-(s - 2)*(s + 1)*(4*s + 1)
Let r(f) = -f**3 - 8*f**2 + 2*f + 18. Let m be r(-8). Suppose -6*u**3 + 68*u**4 + 2*u**m - 142*u**4 + 72*u**4 + 6*u = 0. What is u?
-3, -1, 0, 1
Suppose -6*i + 7*i - 2*q - 9 = 0, 4*q = 4*i - 24. Factor 3/7*h**i + 2/7 - 1/7*h**2 - 1/7*h**4 - 3/7*h.
-(h - 2)*(h - 1)**2*(h + 1)/7
Factor -96/7 - 528*o**2 + 672*o**3 - 98*o**4 + 1024/7*o.
-2*(o - 6)*(7*o - 2)**3/7
Let v(w) be the second derivative of -w**9/26460 + w**8/2940 - 2*w**7/2205 + w**4/12 + 10*w. Let j(i) be the third derivative of v(i). Factor j(c).
-4*c**2*(c - 2)**2/7
Let a = 392 + -372. Let h = 5 - 3. Find t, given that -3*t + 9*t**h - 24*t + 7 + a - t**3 = 0.
3
Let b(d) be the first derivative of 0*d**4 + 1/8*d**2 - 1/24*d**6 + 0*d + 13 + 1/6*d**3 - 1/10*d**5. Suppose b(y) = 0. Calculate y.
-1, 0, 1
Let o be -1*(-14 + 16)*-4 + -9 + 1. What is k in o + 5/4*k - 5/4*k**2 = 0?
0, 1
Let g(p) be the second derivative of 0*p**2 + 1/5*p**5 - 4/3*p**3 + 1/3*p**4 + 4*p + 0. Suppose g(f) = 0. What is f?
-2, 0, 1
Let o(w) be the third derivative of -w**7/840 + w**6/240 + w**5/20 - w**4/24 - 6*w**2. Let x(v) be the second derivative of o(v). Factor x(h).
-3*(h - 2)*(h + 1)
Let o = 2404 - 2404. Let j(m) be the third derivative of o*m**3 + 0 - 1/84*m**4 - 1/70*m**5 - 1/210*m**6 + 0*m - 5*m**2. Factor j(f).
-2*f*(f + 1)*(2*f + 1)/7
Let -12*f**2 - 3 + 9 + 9*f + 4 + 15 - 3 + f**3 = 0. Calculate f.
-1, 2, 11
Let y be ((-30)/(-40))/(33/220). Solve 264*k**4 - 304/3*k**3 + 0 - 108*k**y + 0*k + 32/3*k**2 = 0.
0, 2/9, 2
Let c(y) = -2*y**4 + y**3 + y. Let q(x) = 16*x**5 - 136*x**4 + 8*x**3 + 68*x**2 + 44*x. Let a(f) = 20*c(f) - q(f). Determine b so that a(b) = 0.
-1/2, 0, 1, 6
Let y(z) be the first derivative of -2*z**3/33 + 7*z**2/11 + 36*z/11 + 95. Factor y(f).
-2*(f - 9)*(f + 2)/11
Let d(a) be the third derivative of -a**6/360 - a**5/18 - a**4/8 + 22*a**2 - 5. Factor d(t).
-t*(t + 1)*(t + 9)/3
Factor -7 - 2*i**3 - 40*i - 17*i**2 + 12 - 21.
-(i + 4)**2*(2*i + 1)
Determine n so that -41/7*n - 1/7*n**2 + 6 = 0.
-42, 1
Suppose n = 4*x - 19, 2*n + 2 = -x - 0. Suppose -x = -2*q + 2. Factor -l**5 - l**q - l**4 + 2*l**4 + 4*l**3 - 2*l**3 - l**2.
-l**2*(l - 1)**2*(l + 1)
Let p be (-45)/105 + 153/63. Let 3/7*m**p + 3/7 - 9/7*m**3 - 6/7*m**4 + 9/7*m = 0. Calculate m.
-1, -1/2, 1
Find a, given that 130*a**2 - 7*a**4 + 85/3*a**3 + 56/3 + 100*a = 0.
-2, -2/3, -2/7, 7
Let a(t) = 3*t**4 - 4*t**3 + 3*t**2 - 2*t - 2. Let s(p) = 3*p**4 - 3*p**3 + 3*p**2 - 3*p - 3. Let j(x) = -3*a(x) + 2*s(x). Find h, given that j(h) = 0.
0, 1
Let b(m) = -m**3 + 12*m**2 - 14*m - 48. Let d(q) = -3*q**3 + 12*q**2 - 15*q - 48. Let g(k) = 3*b(k) - 2*d(k). Determine c, given that g(c) = 0.
-4, -2, 2
Let f(t) = -t**2 - 63*t - 122. Let d be f(-2). Let a(y) be the second derivative of 0 + d*y**3 + 7*y + 1/42*y**4 + 0*y**2. Factor a(o).
2*o**2/7
Let k(i) = -i**3 - 10*i**2 + 10*i + 20. Let f be k(-11). Suppose 5*g - f = -11. Find s such that 3/2*s**2 - 3/2*s**g + 0*s + 3/2*s**3 + 0 - 3/2*s**5 = 0.
-1, 0, 1
Let k(n) be the second derivative of n**4/6 - 8*n**3/3 + 7*n**2 - 5*n. Let c be k(7). Factor 2/3*w + c - 4/3*w**2 + 2/3*w**3.
2*w*(w - 1)**2/3
Let w = 185 - 137. Suppose 21*r - w + 6 = 0. Factor -1/3*t**r + 1/3*t + 2/3.
-(t - 2)*(t + 1)/3
Let v = 6 + -2. Factor -43*t**2 + v*t**3 - 95 - 161 - 8*t**3 - 5*t**2 - 192*t.
-4*(t + 4)**3
Factor z**2 + 646*z**3 + 625*z**3 - 13*z**2 + 4*z**5 - 20*z**4 - 1243*z**3.
4*z**2*(z - 3)*(z - 1)**2
Let u = -343397/7 - -48654. Let c = u + 404. Factor -c*y - 3/7*y**3 - 3/7 - 9/7*y**2.
-3*(y + 1)**3/7
Let r(q) be the first derivative of 11 + 0*q - 1/14*q**4 - 3/7*q**2 - 8/21*q**3. Factor r(i).
-2*i*(i + 1)*(i + 3)/7
Let r = 3013 - 3011. Factor -2/3 + 0*k**4 - k + 4/3*k**3 - 1/3*k**5 + 2/3*k**r.
-(k - 2)*(k - 1)*(k + 1)**3/3
Let p(l) be the first derivative of 16*l + 26 + 0*l**2 - 4/3*l**3. Suppose p(j) = 0. What is j?
-2, 2
Let z(r) = -3*r + 8. Let p be z(2). Suppose -p*x = -3*x + 3. Suppose -2/5*b**2 + 0*b + 0 - 2/5*b**4 + 4/5*b**x = 0. What is b?
0, 1
Suppose 121*q - 134*q = -26. Let u(o) be the third derivative of 0 + 1/60*o**5 + 0*o**3 + 1/24*o**4 + 2*o**q + 1/480*o**6 + 0*o. Suppose u(w) = 0. What is w?
-2, 0
Let o(i) be the third derivative of -i**8/1008 + 13*i**7/630 - 7*i**6/72 - 13*i**5/180 + i**4/2 - 66*i**2. Find f, given that o(f) = 0.
-1, 0, 1, 4, 9
Let o(j) be the third derivative of 0*j - 1/70*j**7 + 0*j**3 - 6*j**2 - 1/40*j**6 + 1/20*j**5 + 0 + 1/8*j**4. Factor o(g).
-3*g*(g - 1)*(g + 1)**2
Let w be (0 + 3)*(-5)/(-3). Suppose -20 = -5*j + w*v, -2*v = 2*j + 2*v - 26. Find c, given that c**4 - 3*c**3 - 8*c - 2*c**4 + j*c - 3*c**2 = 0.
-1, 0
Suppose 104*d = 5*r + 100*d - 12, -3 = d. Suppose 0 - 2/7*v - 2/7*v**5 + 0*v**2 + 4/7*v**3 + r*v**4 = 0. What is v?
-1, 0, 1
Let r = 123 - 58. Suppose 18*y**3 - 12*y**2 + 2*y**4 - r*y + 15*y + 42*y**2 = 0. Calculate y.
-5, 0, 1
Let b(n) be the first derivative of 1/7*n**3 - 3/7*n + 7 + 0*n**2. Factor b(c).
3*(c - 1)*(c + 1)/7
Suppose 9*p - 38*p = -0*p - 7*p. Let t = -10/37 + 144/259. What is f in t*f**3 + 0*f + 2/7*f**4 + 0*f**2 + p = 0?
-1, 0
Let n(l) be the third derivative of -l**5/210 + l**4/12 - 2*l**3/7 - 185*l**2. Factor n(v).
-2*(v - 6)*(v - 1)/7
Let w(j) = j**2 + 107*j - 779. Let n(h) = h**2 + 53*h - 389. Let d(a) = 5*n(a) - 3*w(a). Factor d(v).
2*(v - 14)**2
Suppose 69*s = 72*s - 9. Let x(u) be the third derivative of -1/525*u**7 + 1/75*u**5 + 0 - 1/15*u**s + 0*u**6 - 4*u**2 + 0*u + 0*u**4. Factor x(w).
-2*(w - 1)**2*(w + 1)**2/5
Let p(v) be the first derivative of 5*v**4 + 55*v**3/3 + 25*v**2/2 - 10*v - 62. Factor p(i).
5*(i + 1)*(i + 2)*(4*i - 1)
Let q be 6/(-27)*-3 - (17 - 833/51). Factor -6/7 + 9/7*t - 3/7*t**3 + q*t**2.
-3*(t - 1)**2*(t + 2)/7
Let w(z) be the third derivative of z**5/60 + 13*z**4/24 - 7*z**3/3 + 154*z**2 - 3*z. Factor w(a).
(a - 1)*(a + 14)
Let s = 143002/11 - 13000. Let 0 + s*l + 0*l**3 - 4/11*l**4 + 4/11*l**2 - 2/11*l**5 = 0. Calculate l.
-1, 0, 1
Let j(o) = 5*o**2 - 212*o - 6. Let d(y) = 10*y**2 - 427*y - 11. Let v(f) = 6*d(f) - 11*j(f). Determine t, given that v(t) = 0.
0, 46
Let r(d) be the third derivative of d**9/3024 - d**8/1680 - d**7/420 + 7*d**3/6 + 4*d**2. Let y(x) be the first derivative of r(x). Factor y(w).
w**3*(w - 2)*(w + 1)
Suppose -80*j + 38*j + 37*j = 0. Let q(d) be the third derivative of -1/14*d**3 - 1/140*d**5 + j*d - 1/28*d**4 + 10*d**2 + 0. Factor q(r).
-3*(r + 1)**2/7
Find u, given that 0*u - 16/15*u**3 - 18/5 + 12/5*u**2 + 2/15*u**4 = 0.
-1, 3
Suppose 0 = -3*c + 2*b + 14, 32 = 5*c - 3*b + 8. Suppose -2*k + c = 4*v + 3*k, k + 6 = v. Let 0 - 10*i + 4 + 2*i + v*i**2 = 0. What is i?
1
Let z = 4567 - 4565. Factor 1/7*t**z - 4/7*t + 3/7.
(t - 3)*(t - 1)/7
Let h = -84/23 + 743/46. Factor 5*m + h*m**2 + 0 + 10*m**3 + 5/2*m**4.
5*m*(m + 1)**2*(m + 2)/2
Let f(c) be the first derivative of 3*c**5/5 + 9*c**4/4 + 3*c**3 + 3*c**2/2 + 104. Solve f(o) = 0.
-1, 0
Let q(l) = 10*l**2 + 142*l - 548. Let b(r) = 4*r**2 + 48*r - 183. Let k(f) = -8*b(f) + 3*q(f). Factor k(a).
-2*(a - 15)*(a - 6)
Let u(z) = -z**4 - z. Let k be 8/(-16) - 6/(-4). Let a(o) = 27*o**4 + 6*o**3 - 45*o**2 + 24*o + 12. Let v(q