 0. Calculate m.
0, 2
Let s(z) be the first derivative of -z**7/168 - z**6/72 - 5*z**3 - 8. Let v(m) be the third derivative of s(m). Find t, given that v(t) = 0.
-1, 0
Let p(w) be the first derivative of 5*w**3/9 + 5*w**2/3 - 40*w/3 + 287. Suppose p(b) = 0. What is b?
-4, 2
Let l(f) = 10*f**2 - 160*f + 2530. Let o(u) = -3*u**2 + 54*u - 843. Let r(h) = -2*l(h) - 7*o(h). Solve r(b) = 0.
29
Let x(d) = d**2 - 27*d - 28. Let m(f) = -f**2 + 27*f + 28. Let y(a) = 8*m(a) + 7*x(a). Let y(p) = 0. Calculate p.
-1, 28
Let p = 1202345/283883 + -1/16699. Factor 2/17*c**2 + p + 24/17*c.
2*(c + 6)**2/17
Suppose -v + 0*x - 12 = 5*x, -2*v - 3*x = 3. Factor -12*p**3 - 21*p + 3*p**4 + 128*p**2 - 101*p**2 + 6 - 3*p**v.
3*(p - 2)*(p - 1)**3
Let i(v) be the first derivative of v**7/42 + 2*v**6/15 + v**5/4 + v**4/6 + 9*v + 3. Let q(d) be the first derivative of i(d). Determine x so that q(x) = 0.
-2, -1, 0
Let k(g) be the third derivative of g**2 + 0*g + 1/9*g**3 + 0 - 1/270*g**5 + 1/54*g**4. Find x, given that k(x) = 0.
-1, 3
Let t(w) = 6*w**3 + 211*w**2 + 33*w. Let z(c) = 2*c**3 + 70*c**2 + 12*c. Let j(k) = 4*t(k) - 11*z(k). Factor j(l).
2*l**2*(l + 37)
Let t = 1499 - 1497. Let q(d) be the first derivative of 0*d**2 + t*d - 2/3*d**3 - 7. Let q(g) = 0. What is g?
-1, 1
Let f(v) be the second derivative of -v**6/270 + v**5/60 - v**4/36 + v**3/54 + 9*v + 1. Factor f(p).
-p*(p - 1)**3/9
Let j(y) = -y - 1. Let f(i) = -3*i**3 - 18*i**2 + 2*i + 13. Let p be f(-6). Let b(v) = 5*v**4 - 10*v**2 - 4*v + 1. Let h(g) = p*b(g) - 4*j(g). Factor h(c).
5*(c - 1)**2*(c + 1)**2
Factor -22/5*g**2 + 26*g - 2/5*g**3 + 30.
-2*(g - 5)*(g + 1)*(g + 15)/5
Solve -69*s**2 - 184*s**3 - 116*s**2 + 1955*s - 4335 + 95*s**3 + 94*s**3 = 0 for s.
3, 17
Let u = 678/41 + -1870/123. Suppose 2*i - 2/3*i**2 - u = 0. Calculate i.
1, 2
Let j(m) be the second derivative of -3*m**5/20 - 3*m**4 - 21*m**3/2 + 147*m**2 - 660*m. Factor j(g).
-3*(g - 2)*(g + 7)**2
Let v(d) be the third derivative of -1/6*d**4 + 1/30*d**5 + 0*d + 0 - 1/360*d**6 + 2/3*d**3 - 4*d**2. Let a(y) be the first derivative of v(y). Factor a(c).
-(c - 2)**2
Let t(c) be the second derivative of 1/36*c**4 - 1/6*c**3 - 6*c + 0 + 1/3*c**2. Suppose t(l) = 0. Calculate l.
1, 2
Let s(j) be the first derivative of -3*j**4/20 - 32*j**3/5 - 174*j**2/5 - 336*j/5 - 162. Let s(d) = 0. What is d?
-28, -2
Let r(k) = -k**4 + k**2 - k - 1. Let p(l) = 10*l**4 - 300*l**3 + 6745*l**2 - 67495*l + 253130. Let m(v) = -p(v) - 5*r(v). Factor m(a).
-5*(a - 15)**4
Let j(t) = 2*t**2 + 10*t - 9. Let f be j(-6). Let p be 24*(66/42 + 3/(-2)). Determine x, given that 0*x**2 - 4/7*x**f - 8/7 + p*x = 0.
-2, 1
Let d(m) be the third derivative of m**6/300 - 32*m**5/75 + 336*m**2. Factor d(t).
2*t**2*(t - 64)/5
Factor -16*y**2 + 6*y**3 - 32/3 - 88/3*y.
2*(y - 4)*(3*y + 2)**2/3
Let x be 3/(-60)*2*(-5)/3. Let b(z) be the second derivative of -1/20*z**5 - 1/6*z**4 + 0*z**2 + 0 - x*z**3 + z. Factor b(y).
-y*(y + 1)**2
Factor -42*f**2 + 5*f + 149*f**2 - 102*f**2.
5*f*(f + 1)
Let g = 941/126 - 295/42. Find f such that 4/3*f**3 + 8/9*f**5 + 0 + 4/9*f**2 - 20/9*f**4 - g*f = 0.
-1/2, 0, 1
Let i(k) = 4*k**5 - 32*k**4 + 42*k**3 - 18*k**2 - 2. Let z(d) = 16*d**5 - 130*d**4 + 167*d**3 - 71*d**2 - 9. Let l(r) = -9*i(r) + 2*z(r). Solve l(m) = 0.
0, 1, 5
Suppose 3*t - 25*t + 285 = -3*t. Factor -t + 6*y - 3/5*y**2.
-3*(y - 5)**2/5
Let w(z) be the second derivative of z**9/3024 - z**8/672 + z**7/504 - 11*z**4/12 - 3*z. Let b(u) be the third derivative of w(u). Factor b(o).
5*o**2*(o - 1)**2
Let s(x) be the first derivative of 0*x + 0*x**3 - 1/300*x**5 + 0*x**4 + 5*x**2 - 9. Let y(p) be the second derivative of s(p). Let y(i) = 0. Calculate i.
0
Let f(a) be the third derivative of -a**6/108 - 2*a**5/45 + a**4/9 - 7*a**3/6 + 4*a**2. Let j(l) be the first derivative of f(l). Let j(u) = 0. Calculate u.
-2, 2/5
Let d(i) be the second derivative of -i**4/9 + 13*i**3/18 - i**2/2 + 2*i - 29. Let d(r) = 0. Calculate r.
1/4, 3
Factor -r**2 - 5/3 - 3*r + 1/3*r**3.
(r - 5)*(r + 1)**2/3
Let n be (216/28)/((-52)/(-28) - 2). Let f be ((-19)/5 - -3)*n/24. Factor f - 3/5*j**2 + 6/5*j.
-3*(j - 3)*(j + 1)/5
Let w be (-4)/(-3)*(-23)/(8740/(-30)). Let -4/19*n - w*n**2 + 16/19 = 0. What is n?
-4, 2
Let f = 4/97 - -562/485. Let 0*z**2 - 6/5*z**3 + f*z + 3/5 - 3/5*z**4 = 0. Calculate z.
-1, 1
Suppose -g - 4*g - 26 = -w, w = 4*g + 24. Let v be (-28)/(-15) - (w/30)/(-4). Factor c - 2/3*c**3 + 2/3*c**v - c**4 - 1/3*c**5 + 1/3.
-(c - 1)*(c + 1)**4/3
Suppose -3926*c = -3933*c + 14. Factor -2/3 + 2/9*w**c + 4/9*w.
2*(w - 1)*(w + 3)/9
Let y = -13/6 + 5/2. Let t = 20 - 59/3. Find k, given that t*k**2 - 1/3 + y*k**3 - 1/3*k = 0.
-1, 1
Let r = -45 - -39. Let s(t) = t**5 + 2*t**4 + 5*t**3 - 2*t**2 - 6. Let l(g) = 2*g**5 + 4*g**4 + 9*g**3 - 4*g**2 - 11. Let y(c) = r*l(c) + 11*s(c). Factor y(d).
-d**2*(d - 1)*(d + 1)*(d + 2)
Suppose 6*f = 29 + 1. Suppose 0 = f*s - 2*u - 14, 4*u - 4 = -4*s + 2*u. Factor 3*v**3 + 2*v + 11/2*v**s - 1/2.
(v + 1)**2*(6*v - 1)/2
Let n(f) = -6*f**2 - 10*f. Let x be n(-1). Factor z**x + 1/3*z**2 - 5/3*z**3 + 0*z + 0 + 3*z**5.
z**2*(z + 1)*(3*z - 1)**2/3
Let m(x) be the first derivative of 5*x**3/3 - 95*x**2/2 + 127. Find d, given that m(d) = 0.
0, 19
Let k(h) be the second derivative of 5/42*h**7 - 5/3*h**3 + 1/4*h**5 - 1/2*h**6 + 5/4*h**4 + 0*h**2 - 8*h + 0. Determine c so that k(c) = 0.
-1, 0, 1, 2
Let z be (2 - 4)/(1/(-1)). Let x(g) = -g - 1. Let p be x(-3). Factor -5*o**2 - 3*o + z*o**2 + 0*o**p + 0*o**2.
-3*o*(o + 1)
Let l = 27 + -24. Suppose 0 = 6*j - l - 21. Find o such that 4*o - 2*o**3 + o**j + 0*o**4 + 1 + 4*o**3 + 6*o**2 + 2*o**3 = 0.
-1
Suppose -5*b = n + 3*n - 15, 0 = -2*n. Factor 2 + 1 - 4 - b*q**2 + 4.
-3*(q - 1)*(q + 1)
Factor 1253*d + 2*d**3 + 11*d**2 - 1253*d - d**3.
d**2*(d + 11)
Let 2/9*o**2 - 2 + 0*o = 0. Calculate o.
-3, 3
Suppose 0 = 6*j - 2*j - 8. Let r(w) be the first derivative of w**2 + 2 - 5 - 4*w**j - 7*w**3 + 4. Factor r(t).
-3*t*(7*t + 2)
Let f(m) be the second derivative of -2*m**6/15 - 5*m**5 - 63*m**4 - 814*m**3/3 - 484*m**2 + 44*m - 3. What is u in f(u) = 0?
-11, -2, -1
Factor 65*j**3 - 3*j + 13*j - 26*j**2 - 60*j**3 + 41*j**2.
5*j*(j + 1)*(j + 2)
Factor -2/5*i - 18/5 + 18/5*i**2 + 2/5*i**3.
2*(i - 1)*(i + 1)*(i + 9)/5
Let i(t) = t**2 + 3*t - 6. Let y be i(-5). Let h = 14 + y. Factor 2 + 3 - 3*x**4 - 36*x - 17 - 39*x**2 - h*x**3.
-3*(x + 1)**2*(x + 2)**2
Let w be ((-127)/(-3))/((-19)/114). Let x = 256 + w. Let 4/5*s**x + 0 + 2/5*s**3 + 2/5*s = 0. What is s?
-1, 0
Let a(z) be the second derivative of z**5/20 - 13*z**4/12 - 29*z**3/6 - 15*z**2/2 + 2*z - 21. Factor a(h).
(h - 15)*(h + 1)**2
Let l(w) be the third derivative of 2*w**7/735 + 2*w**6/105 - 41*w**5/105 + 6*w**4/7 - 576*w**2. Suppose l(c) = 0. What is c?
-9, 0, 1, 4
Let x(f) be the third derivative of -f**7/210 - f**6/30 + 3*f**5/10 - 5*f**4/6 - 13*f**3/6 - 6*f**2. Let u(i) be the first derivative of x(i). Factor u(h).
-4*(h - 1)**2*(h + 5)
Let j(u) be the second derivative of 0 + 8/3*u**3 - 1/6*u**4 + 16*u - 16*u**2. Factor j(p).
-2*(p - 4)**2
Let s(g) = g**3 + 8*g**2 + 21*g + 29. Let m be s(-7). Let x be 3 + m/12 - 3/(-1). Suppose 0 + 1/2*j - x*j**2 = 0. What is j?
0, 2
Let z(s) = 26*s**2 - 28*s. Let j(y) = 9*y**2 - 9*y. Let b(k) = -17*j(k) + 6*z(k). Solve b(i) = 0.
0, 5
Let v(s) be the second derivative of -s**5 - 305*s**4/12 + 245*s**3/6 + 40*s**2 + 46*s - 2. Find p, given that v(p) = 0.
-16, -1/4, 1
Let k = 1130/9 - 2251/18. Factor -1/4 - 1/4*s**2 - k*s.
-(s + 1)**2/4
Let d = 378 - 368. Let b(y) be the first derivative of 4/25*y**5 + 1/15*y**6 + 0*y - 4/15*y**3 + 0*y**4 - d - 1/5*y**2. What is c in b(c) = 0?
-1, 0, 1
Let y = 85 - 71. Determine d, given that -19*d + 3*d - 2*d**2 - 2*d**2 + y + 6*d**2 = 0.
1, 7
Let f(c) be the first derivative of c**3/3 + 35*c**2 + 246. Factor f(p).
p*(p + 70)
Let y = 516 - 513. Let a(s) be the second derivative of 0 + 3/7*s**y - 1/105*s**6 + 10*s + 0*s**2 - 5/14*s**4 + 1/10*s**5. Determine j, given that a(j) = 0.
0, 1, 3
Let r(q) be the second derivative of -q**4/8 + 15*q**3/4 - 39*q**2/2 + 431*q. Let r(f) = 0. Calculate f.
2, 13
Suppose -3*z**4 - 159/5*z**3 + 0 + 108/5*z - 204/5*z**2 = 0. Calculate z.
-9, -2, 0, 2/5
Let a(k) = k**3 - 21*k**2 - 10*k. Let h = 33 + -27. Le