tor -q*w - 1/3*w**2 - 1/3.
-(w + 1)**2/3
Let j = 19 - 41. Let b(l) = -9*l**3 + 50*l**2 - 31*l. Let g(s) = -2*s**3 + 10*s**2 - 6*s. Let p(q) = j*g(q) + 4*b(q). Determine w so that p(w) = 0.
0, 1/2, 2
Let p = 17123/240 + -214/3. Let i(z) be the second derivative of -1/24*z**3 + 0*z**2 + z + 0 - 1/24*z**4 - p*z**5. Factor i(o).
-o*(o + 1)**2/4
Let y(n) = -7*n**2 + 5*n. Let p(q) = 4*q**2 - q - 3. Let s(l) = -7*l**2 + 2*l + 5. Let j(k) = 5*p(k) + 3*s(k). Let o(b) = 5*j(b) - y(b). Factor o(x).
2*x**2
Let y(f) be the first derivative of 4*f**5/13 + 9*f**4/26 + 4*f**3/39 + 4. Factor y(l).
2*l**2*(2*l + 1)*(5*l + 2)/13
Let a be 9*(-2)/24*-4. Suppose y - a*t = 2*t - 23, -4*y = -3*t + 7. Determine b so that -4/5 - 2/5*b**y - 6/5*b = 0.
-2, -1
Let l(d) be the first derivative of 7*d**5/20 + 4*d**4/3 + 11*d**3/6 + d**2 - 6*d + 6. Let h(w) be the first derivative of l(w). Factor h(r).
(r + 1)**2*(7*r + 2)
Let d(p) = p**3 + 9*p**2 + 15*p + 2. Let b(u) = -u**3 - u**2 + u. Let v(i) = -10*b(i) + 2*d(i). Factor v(s).
4*(s + 1)**2*(3*s + 1)
Let o = 10 + -21. Let n(r) = 20*r**3 + 11*r**2 - 11*r + 11. Let c(v) = 7*v**3 + 4*v**2 - 4*v + 4. Let i(k) = o*c(k) + 4*n(k). Determine w so that i(w) = 0.
0
Let x(t) = 2*t + 10. Let f be x(9). Let q = -25 + f. Factor 0*i - 1 + 3/4*i**2 - 1/4*i**q.
-(i - 2)**2*(i + 1)/4
Let m(s) be the second derivative of s**4/48 + 2*s**3/3 + 8*s**2 - 29*s. Factor m(o).
(o + 8)**2/4
Suppose -10 = -z - 2*b, 0 = -5*z - b - 5 + 28. Suppose 4*i + 8 = -4*m, -4 = -4*m + z*i + 4. Factor 0*r**2 + 0*r + 0*r**4 + m*r**3 + 0 + 2/3*r**5.
2*r**5/3
Let c(t) be the third derivative of 0*t**3 + 1/12*t**4 - t**2 + 1/30*t**5 + 0*t + 0. Factor c(q).
2*q*(q + 1)
Let q(p) be the second derivative of 5*p - 1/78*p**4 + 0 + 2/39*p**3 - 1/13*p**2. Let q(d) = 0. What is d?
1
Let n be (-1)/(-4) - (-33)/12. Solve 3*v**4 + 3*v**3 - 9*v + 6*v - 3 - n*v**2 + 3 = 0.
-1, 0, 1
Let o(z) be the first derivative of 3 + 1/3*z**2 - 1/3*z - 1/9*z**3. Factor o(t).
-(t - 1)**2/3
Factor 4/5*b**3 + 12*b**2 + 60*b + 100.
4*(b + 5)**3/5
Let f = 11/24 - 1/8. Let h(x) be the first derivative of -f*x**3 - 1/4*x**4 + 1/2*x**2 + x - 2. Factor h(b).
-(b - 1)*(b + 1)**2
Let f be (-13)/(-12) + 1/4. Suppose 4*q**2 + 8/3*q**3 - 16/3 - 16/3*q - f*q**4 = 0. Calculate q.
-1, 2
Suppose 4/7*f**4 - 4/7*f**2 + 0 + 2/7*f - 2/7*f**5 + 0*f**3 = 0. What is f?
-1, 0, 1
Let d = 1048/5 + -208. Suppose 0 = -2*z + 5*z - 9. Factor 2/5*v**z + 0*v - d + 6/5*v**2.
2*(v - 1)*(v + 2)**2/5
Factor -4/9*l - 13/9*l**3 + 0 + 4/3*l**2 + 2/3*l**4 - 1/9*l**5.
-l*(l - 2)**2*(l - 1)**2/9
Let l(m) = -m**2 - 1. Let h(d) = -3*d + 0*d + 5 + 2 + 8*d**2. Let c = -11 - -17. Let p(u) = c*l(u) + h(u). Factor p(r).
(r - 1)*(2*r - 1)
Let z(m) be the first derivative of m**4 - 8*m**3/3 + 2*m**2 - 42. Factor z(j).
4*j*(j - 1)**2
Factor 80*o + 145*o**2 + 8 - 111*o**2 + 232*o**2 + 294*o**3.
2*(3*o + 1)*(7*o + 2)**2
Let l be (-1862)/(-21)*1/(-2). Let r = l - -45. Suppose 4*w**2 + 16/3 + r*w**3 + 8*w = 0. Calculate w.
-2
Let z(l) be the first derivative of l**6/3 - l**4/2 + 33. Factor z(r).
2*r**3*(r - 1)*(r + 1)
Suppose 0 = 2*z - d - 13, -5*z + z - 9 = 5*d. Factor 3*k**2 + k**2 - 2*k**z + 4*k**3 + k**5 - 2 - 3*k**5 - 2*k.
-2*(k - 1)**2*(k + 1)**3
Solve -1/2*n**2 + 3/2*n + 1/2*n**4 - 3/2*n**3 + 0 = 0 for n.
-1, 0, 1, 3
Find p, given that -p**2 - p**2 - p**3 + p**5 - 4*p**4 + p**2 + 5*p**4 = 0.
-1, 0, 1
Let g(o) be the third derivative of -o**8/896 + o**7/560 + o**6/64 - o**5/32 - o**4/16 + o**3/4 - 4*o**2. Determine w so that g(w) = 0.
-2, -1, 1, 2
Let h be ((-1)/22)/((-18)/844). Let q = h - 21/11. Let -2/9*s**4 - 4/9*s**3 + 2/9*s**5 + q*s + 4/9*s**2 - 2/9 = 0. Calculate s.
-1, 1
Let t = 47 - 140/3. Factor 0*d + t*d**2 + 0.
d**2/3
Let m be ((-18)/21)/((-12)/189). Solve m*w + 1/2*w**3 + 9/2*w**2 + 27/2 = 0.
-3
Factor h + 6*h - 2*h**2 - 5*h - 2 + 2*h.
-2*(h - 1)**2
Let v = -390 - -1186/3. Factor -4/3*r**2 - v*r**3 + 0 - 7/3*r**4 + 0*r.
-r**2*(r + 2)*(7*r + 2)/3
Let p be 3*((-1232)/210 - (-3 - 3)). Let -1/5*z**3 + 0 + p*z - 1/5*z**2 = 0. Calculate z.
-2, 0, 1
Let i(g) be the second derivative of -g**7/42 - 2*g**6/15 - 3*g**5/20 + g**4/3 + 2*g**3/3 - 7*g. Find l such that i(l) = 0.
-2, -1, 0, 1
Let z = 96/11 + -200/33. Determine x, given that -4/3*x**4 + z*x + 0 + 2/3*x**5 + 8/3*x**2 - 2*x**3 = 0.
-1, 0, 2
Suppose -11*x + x = 0. Let 0*y - 4/5*y**2 + x - 2/5*y**3 = 0. What is y?
-2, 0
Let t(l) be the first derivative of 1/8*l**4 - 1/4*l**2 + 3 - 1/4*l + 1/20*l**5 + 0*l**3. Factor t(w).
(w - 1)*(w + 1)**3/4
Let p = 0 + -6. Let s be 2*((-31)/p + -4). Factor -7/3*h**3 - 1/3*h**4 + s*h**2 - 2/3 + 1/3*h + 2/3*h**5.
(h - 1)**3*(h + 2)*(2*h + 1)/3
Factor 37 - 3*s**2 - 20*s + 13 + 5*s**2.
2*(s - 5)**2
Let j(v) be the first derivative of v**3/9 - v/3 + 4. Factor j(i).
(i - 1)*(i + 1)/3
Find j such that 8/5*j**4 - 4*j**3 + 0*j - 24/5*j**2 + 0 + 4/5*j**5 = 0.
-3, -1, 0, 2
Let c be 0*(36/(-40) + (-8)/(-20)). Let l(b) be the third derivative of 0 + c*b - 1/36*b**4 - 1/180*b**5 + 0*b**3 + 4*b**2. What is z in l(z) = 0?
-2, 0
Let k be (-2)/11 - (-10)/55. Suppose k = 3*g - 12 + 3. Factor 2*j**3 + j**3 - 2*j**2 - 2*j**g.
j**2*(j - 2)
Let g(z) be the second derivative of z**6/60 + z**5/20 - 21*z. Determine c so that g(c) = 0.
-2, 0
Let h be ((-10)/15)/((-2)/84). Suppose -2*k + 0*k = -3*s + h, -s - 2*k = 4. Factor 8*n + 8/3 + s*n**2.
2*(3*n + 2)**2/3
Let z(u) = -24*u + 120. Let g be z(5). Determine w, given that g*w + 4/3*w**3 - 4/3*w**2 + 0 = 0.
0, 1
Let m(v) be the third derivative of 1/6*v**3 - 2*v**2 + 0 + 1/60*v**5 + 1/12*v**4 + 0*v. Factor m(n).
(n + 1)**2
Let c(q) be the first derivative of -q**4/8 + 37*q**3/6 - 323*q**2/4 - 361*q/2 - 12. Factor c(b).
-(b - 19)**2*(b + 1)/2
Let r(d) be the third derivative of -d**6/1800 + d**3/6 - d**2. Let s(g) be the first derivative of r(g). Factor s(v).
-v**2/5
Let x(r) be the second derivative of -2/11*r**2 + 1/66*r**4 + 0 + 1/33*r**3 - r. Factor x(b).
2*(b - 1)*(b + 2)/11
Let o = -4 + 6. Let h(x) = 3 - 1 - 8*x**2 + o*x**5 + x - 2*x**4 + x. Let p(n) = -n**4 + n**3 - n**2. Let t(s) = h(s) - 4*p(s). Factor t(a).
2*(a - 1)**2*(a + 1)**3
Let a(w) be the third derivative of w**5/540 - 13*w**4/108 + 169*w**3/54 - 5*w**2. Factor a(c).
(c - 13)**2/9
Suppose d + 9 = 3*b, 0*d + 2*d = -6. Let x(g) be the third derivative of 0*g + 1/40*g**4 + 0 - 1/10*g**3 + g**b - 1/200*g**6 + 1/100*g**5. Factor x(l).
-3*(l - 1)**2*(l + 1)/5
Suppose 14 = -3*j + 4*w + 4, -j - 5*w + 22 = 0. Suppose -2*a = 2*a + 4*z, 8 = 2*a - j*z. Factor q + q**a - 2*q**2 - 2*q - q.
-q*(q + 2)
Let -1/2*j**2 + 1/2*j - 1/6 + 1/6*j**3 = 0. What is j?
1
Let w(o) be the third derivative of o**8/420 - o**6/75 + o**4/30 - o**2. Determine v so that w(v) = 0.
-1, 0, 1
Let -5*i**3 + 40*i**3 + 4*i**4 - 9*i**4 + 0*i**4 + 25*i - 55*i**2 = 0. Calculate i.
0, 1, 5
Let q(v) be the second derivative of -v**7/2520 - v**6/720 - v**5/480 + v**4/6 + v. Let t(h) be the third derivative of q(h). Determine m, given that t(m) = 0.
-1/2
Suppose -5 = 4*s - 29. Let a be s/33 - (-166)/55. Find y such that -a*y + 54/5*y**5 - 36/5*y**3 + 56/5*y**2 - 54/5*y**4 + 0 = 0.
-1, 0, 2/3
Let q(h) = 18*h**3 + 21*h**2 - 3*h + 9. Let g(y) = y**3 + y**2 + 1. Let p be 30/(-4)*(2 + 0). Let b(v) = p*g(v) + q(v). Find j such that b(j) = 0.
-2, -1, 1
Suppose 16/3*w - 32/3*w**2 - 2/3 = 0. Calculate w.
1/4
Let a(i) be the third derivative of -1/120*i**6 - 1/12*i**3 - 1/60*i**5 + 0*i - 1/672*i**8 + 0 + 1/140*i**7 - i**2 + 1/16*i**4. Factor a(y).
-(y - 1)**4*(y + 1)/2
Let s(m) = 3*m**2 + 11*m + 8. Let c(r) = -3*r**2 - 12*r - 9. Let z(w) = -5*c(w) - 6*s(w). Factor z(v).
-3*(v + 1)**2
Let v(w) be the third derivative of w**6/12 + w**5/4 + 5*w**4/24 - 10*w**2. Find h, given that v(h) = 0.
-1, -1/2, 0
Let q(y) = -3*y**2 - 4*y - 3. Let i(n) = -n. Let h(k) = -2*i(k) - q(k). Factor h(c).
3*(c + 1)**2
Let c = 6 + -5. Let k(o) be the first derivative of c + 1/6*o**2 + 0*o + 1/15*o**5 - 1/12*o**4 - 1/9*o**3. Factor k(j).
j*(j - 1)**2*(j + 1)/3
Let x(p) be the third derivative of p**6/1800 - p**5/150 + p**4/30 - p**3/3 - 3*p**2. Let i(a) be the first derivative of x(a). Factor i(h).
(h - 2)**2/5
Factor 46*z**2 - 46*z**2 + 5*z**4 - 3*z**4 + z**5.
z**4*(z + 2)
Let i(o) be the third derivative of o**5/30 - o**4/4 + 2*o**3/3 + 12*o