te f.
0, 1, 2
Let q = 163 + -163. Let s(f) be the third derivative of 1/60*f**5 + 1/40*f**6 + f**2 - 1/12*f**4 + q*f + 0*f**3 + 0. Determine g, given that s(g) = 0.
-1, 0, 2/3
Suppose 2*d - 2*y - 22 = 0, 5*d + 10*y - 14*y = 60. Factor -19/2*l - 8*l**3 - 3/2 - d*l**2.
-(l + 1)*(4*l + 1)*(4*l + 3)/2
Determine p, given that -763 - p + 763 + p**2 = 0.
0, 1
Factor 10*w - 2*w**3 - 14*w**3 - 5*w**2 + 6*w**3 + 6*w**4 - w**4.
5*w*(w - 2)*(w - 1)*(w + 1)
Suppose 0 = 3*c - 2*w - 20, 5*c = -9*w + 6*w + 8. Find z, given that 14*z - 2*z - 8 - 3*z**2 - c = 0.
2
Let d(v) be the second derivative of -v**7/630 + v**6/180 + v**5/5 + 13*v**4/6 + 8*v. Let m(z) be the third derivative of d(z). Factor m(h).
-4*(h - 3)*(h + 2)
Let x(v) be the first derivative of v**5/4 + 5*v**4/16 - 5*v**3/6 - 93. Find u such that x(u) = 0.
-2, 0, 1
Let b(c) be the third derivative of -7*c**6/120 + c**5/60 - c**3/2 + 16*c**2. Let a(i) = -8*i**3 - 4. Let f(x) = -3*a(x) + 4*b(x). What is k in f(k) = 0?
0, 1
Find l such that 248*l**2 - 30 - 246*l**2 + 16*l - 36 = 0.
-11, 3
Let r(b) = b**3 + 5*b**2 - 5*b + 6. Let n be r(-6). Let a(j) = -j + 3. Let z be a(n). Factor -2*s**5 + 4*s**4 + 0*s**5 + 3*s**5 + s**3 - 2*s - z*s**2 - s**4.
s*(s - 1)*(s + 1)**2*(s + 2)
Let n = -7 - -3. Let x(h) = 45*h**2 - 32*h. Let z(g) be the first derivative of 46*g**3/3 - 31*g**2/2 + g + 77. Let v(p) = n*z(p) + 3*x(p). Factor v(d).
-(7*d - 2)**2
Let q be 3/(-6) - (-44)/8. Suppose 0 = q*s + 4*i - 18, -5*s = -s - 5*i + 2. Factor 3*o + 0*o**2 - 5*o - 2*o**s + 0*o.
-2*o*(o + 1)
Let u be 2/6 + 717/9. Let p be ((-6)/66)/((-2)/u). Solve -2/11*i**4 + 14/11*i**3 - 36/11*i**2 - 16/11 + p*i = 0.
1, 2
Let p = 9 - 4. Factor -23*q**4 + 5*q**4 + 2*q**p + 8*q**4 + 10*q**2 + 5*q - 7*q**5.
-5*q*(q - 1)*(q + 1)**3
Let o(z) = -z**3 - 11*z**2 - 11*z - 7. Let a be o(-10). Factor -y**3 + 10*y**2 + 3*y**3 + 3*y**a + 8*y**4 - 23*y**4.
-5*y**2*(y - 1)*(3*y + 2)
Suppose -3*n + 7 = 2*p, 2*n + p - 6 = -0*p. Let o(m) = 6*m**3 - 5*m**2 - m. Let f(i) = 15*i**3 - 12*i**2 - 3*i. Let g(t) = n*f(t) - 12*o(t). Solve g(w) = 0.
-1, 0, 1
Let h(y) be the first derivative of y**4/12 - 20*y**3/9 - y**2/6 + 20*y/3 + 58. Let h(m) = 0. Calculate m.
-1, 1, 20
Let d(o) be the third derivative of o**6/180 - o**5/3 + 25*o**4/3 + 7*o**3 - 34*o**2. Let h(k) be the first derivative of d(k). Factor h(q).
2*(q - 10)**2
Suppose 7 = b + 1. Let f = b + -1. Find v such that 0*v**4 - 2*v**2 - v**f + 2*v**4 + 0*v**4 + v = 0.
-1, 0, 1
Let p = 77/24 + -59/24. Factor -p*t**2 + 1/4*t**3 + 1/4*t**4 - 5/4*t - 1/2.
(t - 2)*(t + 1)**3/4
Let x(a) be the third derivative of -a**10/10080 - a**9/1680 - a**8/1120 + 3*a**4/8 + 17*a**2. Let f(p) be the second derivative of x(p). Factor f(o).
-3*o**3*(o + 1)*(o + 2)
Let r(j) be the first derivative of 5*j**6/6 - 3*j**5 - 5*j**4/4 + 35*j**3/3 - 20*j - 430. Determine m, given that r(m) = 0.
-1, 1, 2
Find t, given that -318/5*t - 1/5*t**2 - 25281/5 = 0.
-159
Factor 0*x**2 + 194 - 21*x - 184 + 2*x**2 + 9*x.
2*(x - 5)*(x - 1)
Suppose u = -20 + 23. Let x be (-14)/(-5)*(-48)/(-42)*u. Factor 24/5*y**3 - 52/5*y**2 - 4/5*y**4 + x*y - 16/5.
-4*(y - 2)**2*(y - 1)**2/5
Solve 0 + 53/4*t + 1/4*t**4 + 55/4*t**3 + 107/4*t**2 = 0 for t.
-53, -1, 0
Let o(b) be the third derivative of 0*b**3 + 46*b**2 + 0*b - 13/15*b**6 - 2/15*b**7 + 0 - 4/3*b**5 + 4/3*b**4. Factor o(f).
-4*f*(f + 2)**2*(7*f - 2)
Let d be 3/15 + 16/(-90). Let z(o) be the second derivative of 1/225*o**6 + 1/150*o**5 - d*o**3 + 5*o + 0*o**2 - 1/90*o**4 + 0. Solve z(c) = 0.
-1, 0, 1
Let m(d) be the third derivative of d**6/300 - 7*d**5/60 + 17*d**4/120 - 15*d**2 + d. Factor m(r).
r*(r - 17)*(2*r - 1)/5
Let z(j) be the third derivative of 0*j + 0*j**3 + 1/16*j**4 + 1/140*j**7 - 13*j**2 + 0 - 1/80*j**6 - 1/40*j**5. Factor z(b).
3*b*(b - 1)**2*(b + 1)/2
Let z(y) be the first derivative of 3*y - 15/2*y**2 - 19 + 3/2*y**6 - 21/5*y**5 + 3/2*y**4 + 6*y**3. Suppose z(p) = 0. Calculate p.
-1, 1/3, 1
Let x(q) = -5*q**2 + 5*q + 20. Let w(n) = 5*n**2 - 6*n - 20. Let y = -43 + 38. Let k(z) = y*w(z) - 6*x(z). Factor k(a).
5*(a - 2)*(a + 2)
Let m(j) be the second derivative of -j**5/140 + 3*j**2/2 + 29*j. Let v(l) be the first derivative of m(l). Factor v(n).
-3*n**2/7
Let d = -1/22254 + 267055/155778. Find w, given that 3/7*w**2 - 12/7*w + 3/7*w**3 - d = 0.
-2, -1, 2
Let p = -164 - -167. Suppose 6 = -c + 4*c. Let 105 - 105 + 3*u**c + p*u = 0. Calculate u.
-1, 0
Factor 28*j**3 + 11*j**2 + 16*j**4 + 16*j**2 - 40*j**2 - 4*j + 13*j**2 + 8*j**2.
4*j*(j + 1)**2*(4*j - 1)
Factor 1/4*w**2 + 26*w + 676.
(w + 52)**2/4
Let x(l) be the first derivative of l**6/12 + 2*l**5/5 + l**4/8 - l**3 + 660. Factor x(m).
m**2*(m - 1)*(m + 2)*(m + 3)/2
Let w(b) be the second derivative of 14/3*b**3 + 5/3*b**4 + 0 + 30*b + 6*b**2 + 1/5*b**5. Determine l so that w(l) = 0.
-3, -1
Let h(z) be the second derivative of 10/3*z**2 + 0 - 10*z + 10/9*z**3 - 5/36*z**4 - 1/12*z**5. Factor h(k).
-5*(k - 2)*(k + 1)*(k + 2)/3
Let o be (2 + -8 + 5)/1. Let k be (0 + 2 + -1 + -1)*o. Suppose 2/7*h**3 + k*h + 0 - 6/7*h**2 = 0. Calculate h.
0, 3
Let a be (-5 - 1)*193/(-386). Factor 2/5*d**a + 1/5*d**4 + 1/5*d**2 + 0*d + 0.
d**2*(d + 1)**2/5
Suppose 117 = 2*w + 109. Let z(f) be the second derivative of 6*f + 4/11*f**3 + 0 + 4/11*f**2 - 7/66*f**w. Factor z(v).
-2*(v - 2)*(7*v + 2)/11
Determine n so that -3 - 19/6*n - 1/6*n**2 = 0.
-18, -1
Let m = -5228/3 + 1743. Suppose -1/3*f**2 + 1/3*f**4 + 0 - m*f + 1/3*f**3 = 0. Calculate f.
-1, 0, 1
Let t(d) = 19*d - 91. Let r be t(5). Find w, given that 2/9*w + 10/9*w**3 + 4/9*w**r + 0 + 8/9*w**2 = 0.
-1, -1/2, 0
Let c(j) be the second derivative of 2/15*j**6 - 12*j + 0*j**3 + 0*j**2 + 0 + 1/4*j**5 + 1/6*j**4 + 1/42*j**7. Solve c(x) = 0.
-2, -1, 0
Let f(r) be the second derivative of r**4/16 + r**3/4 + 430*r. Factor f(g).
3*g*(g + 2)/4
Let i(z) be the second derivative of -z**6/6 - 3*z**5/4 - 5*z**4/12 + 5*z**3/2 + 5*z**2 - 6*z. Let i(r) = 0. What is r?
-2, -1, 1
Let y(w) be the first derivative of w**6/72 + w**5/6 + 5*w**4/8 + 4*w**3/3 - 4. Let f(a) be the third derivative of y(a). Determine s so that f(s) = 0.
-3, -1
Let r(s) be the third derivative of -s**5/120 - 7*s**4/8 - 20*s**3/3 - 116*s**2. Factor r(f).
-(f + 2)*(f + 40)/2
Factor 39/7 - 36/7*r - 3/7*r**2.
-3*(r - 1)*(r + 13)/7
Let x(r) be the first derivative of r**3/9 - 25*r**2/6 - 26*r/3 - 122. Factor x(u).
(u - 26)*(u + 1)/3
Let a(o) be the first derivative of -4*o**3/21 - 34*o**2/7 - 264*o/7 + 308. Factor a(l).
-4*(l + 6)*(l + 11)/7
Let t(w) be the second derivative of -w**7/273 + 7*w**6/195 - 19*w**5/130 + 25*w**4/78 - 16*w**3/39 + 4*w**2/13 + 5*w. What is d in t(d) = 0?
1, 2
Let g(r) = r**2 + r - 1. Let d be g(-3). Suppose 3*w**2 - 3*w**4 + 6*w - d*w + 2*w - 2*w**3 - w**3 = 0. What is w?
-1, 0, 1
Let a = 6366/11 + -578. Let i(h) = h**2 - 26*h + 149. Let c be i(8). Find w such that -2/11*w**c - 2/11*w - a*w**4 + 0 - 12/11*w**3 - 8/11*w**2 = 0.
-1, 0
Let h(f) be the third derivative of f**7/210 - 7*f**6/120 + 17*f**5/60 - 17*f**4/24 + f**3 - f**2 - 6. Suppose h(s) = 0. Calculate s.
1, 2, 3
Let x(j) = j - 4. Let u be x(7). Let m**2 - m**3 + m**5 + 2*m**u + 2*m**5 - 4*m**5 - m**4 = 0. Calculate m.
-1, 0, 1
Factor -464*b**4 - 460*b**4 + 921*b**4 - 6*b**2 - 9*b**3.
-3*b**2*(b + 1)*(b + 2)
Let m(j) = -j**5 + j**2 + j. Let w(b) = -7*b**5 + 3*b**4 + 5*b**3 + 3*b**2 + 2*b. Let f(p) = -6*m(p) + w(p). Factor f(i).
-i*(i - 4)*(i - 1)*(i + 1)**2
Let x(q) be the first derivative of -q**4/3 - 2*q**3/15 + 8*q**2/5 - 6*q - 3. Let i(w) be the first derivative of x(w). Let i(u) = 0. Calculate u.
-1, 4/5
Let n = 5322 - 5318. Factor 0 - 1/4*u**2 - 1/2*u**3 + 1/2*u + 1/4*u**n.
u*(u - 2)*(u - 1)*(u + 1)/4
Let i(d) be the second derivative of -d**7/3 + 169*d**6/45 - 37*d**5/10 - 305*d**4/18 + 8*d**3/3 + 28*d**2/3 - 6*d - 50. Solve i(y) = 0 for y.
-1, -2/7, 1/3, 2, 7
Let i = 7 - 3. Let z = -13 - -16. Factor -d**4 + d**2 + 0*d**i + d - 2*d**z + d**3.
-d*(d - 1)*(d + 1)**2
Let y = -2003 - -10017/5. Find m such that -9/5*m - 4/5*m**3 - 12/5*m**2 - y = 0.
-2, -1/2
Let c(t) be the third derivative of -t**8/2520 + 2*t**7/175 - 13*t**6/150 - 26*t**5/225 + 23*t**4/20 + 18*t**3/5 - 39*t**2. Find u such that c(u) = 0.
-1, 2, 9
Suppose 0 = 5*q - 3*q - 4. Let o(g) = 0 - 1 - 2*g**2 + 