3*n - 3*p + 21, -2*n + 2*p + 2 = -u. Let -20*c - n - 50/3*c**2 = 0. Calculate c.
-3/5
Suppose 0 = 70*q - 67*q + 6. Let v be (-1 + 6)/(-1 - q). Suppose 128*g**v - 37*g**3 - 2*g + 2 - 2 + 61*g**3 + 160*g**4 - 10*g**2 = 0. Calculate g.
-1, -1/4, 0, 1/4
Let w be 6/(5 - 3) + (2 - 2). Let a be (-1 - w)/(1 + 15/(-9)). Factor 0 - a*l**2 - 6*l - 3/2*l**3.
-3*l*(l + 2)**2/2
Let g(i) be the third derivative of 5*i**8/336 + i**7/14 + i**6/24 - i**5/4 - 5*i**4/12 + 3*i**2 + 9. Suppose g(s) = 0. Calculate s.
-2, -1, 0, 1
Let n be ((-72)/48)/(2/(-4)). Let u(i) be the first derivative of 5 + 0*i**2 + 0*i**n + 0*i**4 + 0*i - 2/25*i**5 + 1/30*i**6. Factor u(f).
f**4*(f - 2)/5
Let g(w) be the third derivative of w**5/160 - w**4/32 - 3*w**3/16 - 34*w**2 + 2*w. Suppose g(d) = 0. What is d?
-1, 3
Suppose 0 = -4*u + 5*o - 3 + 74, -5*u - 4*o + 58 = 0. Let q be 3/u + (-6)/(-21). What is x in 1/2 + 7/4*x - 1/4*x**5 - 1/2*x**4 + q*x**3 + 2*x**2 = 0?
-1, 2
Suppose -13*m - 28 = -6*m. Let p(y) = -53*y**2 - 51*y - 15. Let j(g) = 7 + 26*g + 26*g**2 - 1 + 2. Let o(f) = m*p(f) - 7*j(f). Factor o(u).
2*(3*u + 1)*(5*u + 2)
Let w(y) = 3*y**2 - 150*y + 387. Let p(o) = -2*o**2 + 77*o - 193. Let j(m) = -9*p(m) - 5*w(m). Find n, given that j(n) = 0.
-22, 3
Let w(v) = -28*v**2 - 108*v + 136. Let j(k) = 9*k**2 + 36*k - 45. Let l(u) = 16*j(u) + 5*w(u). Factor l(s).
4*(s - 1)*(s + 10)
Let y be -16 - (-15 - -4) - 11/(-2). Let g(q) be the third derivative of 3/8*q**4 + 7*q**2 - y*q**3 + 0*q + 0 - 9/80*q**5. Find z, given that g(z) = 0.
2/3
Let g(x) be the first derivative of x**7/420 + x**6/45 + x**5/12 + x**4/6 - 3*x**3 - 16. Let i(p) be the third derivative of g(p). Find r such that i(r) = 0.
-2, -1
Let g(o) = -o**3 + 2*o**2 + 3*o - 4. Let t be g(2). Suppose d**3 + 48*d**t - 21*d**3 - 3*d**5 - 4*d**3 - 21*d**4 = 0. Calculate d.
-4, 0, 1
Let a = 872 - 867. Let w(x) be the third derivative of 3/110*x**a + 1/33*x**3 - 1/22*x**4 + 0 - 9*x**2 + 0*x - 1/165*x**6. Factor w(h).
-2*(h - 1)**2*(4*h - 1)/11
Let m(j) = -j. Let i(t) = -t**2 - 4*t + 4. Let c(b) = i(b) - 4*m(b). Factor c(q).
-(q - 2)*(q + 2)
Let m(b) be the first derivative of b**4/20 - b**3/15 - 4*b**2/5 + 12*b/5 - 132. Factor m(q).
(q - 2)**2*(q + 3)/5
Let g = 16 - 9. Suppose c = -3*k - g, 5*c + 4*k - 1 = -3. Solve -1 - 4*x**5 - 5*x**4 - 2*x**4 + 0*x + c*x + 2*x**3 + 8*x**2 = 0 for x.
-1, 1/4, 1
Let w(k) = k**2 + 23*k + 128. Let r be w(-9). Factor r*q**2 + 8/3*q - 8/3 - 4/3*q**3 - 2/3*q**4.
-2*(q - 1)**2*(q + 2)**2/3
Let z(u) be the second derivative of u**4/4 - 64*u - 2. Solve z(h) = 0.
0
Solve -864/5 - 2/15*l**4 - 368/15*l**2 + 768/5*l - 64/15*l**3 = 0 for l.
-18, 2
Factor -2*l - 3*l + 21*l + 87*l**2 - 15 - 88*l**2.
-(l - 15)*(l - 1)
Let z(g) be the third derivative of -g**9/22680 + g**8/5040 - 11*g**4/24 + 22*g**2. Let o(d) be the second derivative of z(d). Factor o(n).
-2*n**3*(n - 2)/3
Suppose -5 = -3*k + 7. Let u = 33/16 + -9/16. Factor -3/2*p**2 + 0 + 3/2*p**3 + u*p**k - 3/2*p.
3*p*(p - 1)*(p + 1)**2/2
Suppose -24 = 258*d - 254*d. Let z be d + 6 - (2 - 2). Factor 0 - 1/3*u**5 + u**3 - 2/3*u**2 + z*u**4 + 0*u.
-u**2*(u - 1)**2*(u + 2)/3
Suppose 6*y = 2*y + 24. Suppose -5*v + y = -4. Determine k, given that -8*k + 2 + 0*k**2 - 10 - 2*k**v = 0.
-2
Let w(a) = -213*a - 2764. Let i be w(-13). Let 2/9*c**i + 0*c + 0*c**2 + 2/9*c**3 + 4/9*c**4 + 0 = 0. What is c?
-1, 0
Suppose -2*y - 30 = -5*y. Solve y*s**2 - 8*s**2 + 2*s - 5*s = 0.
0, 3/2
Suppose 0 = -6*d + 3*d + 12. Find x such that 9*x**3 + 20*x**2 + 4*x**d + 8*x**4 + 3*x**5 - 12*x - 32*x**2 = 0.
-2, -1, 0, 1
Determine v so that -35*v**3 - 11*v**5 + 9*v**2 + 86*v**5 + 5*v**4 - 12*v**2 - 17*v**2 - 25*v**3 = 0.
-2/3, -2/5, 0, 1
Let b(f) be the third derivative of f**5/30 + f**4/78 - f**2. Factor b(k).
2*k*(13*k + 2)/13
Let z(i) = 4*i**2 - 536*i + 36998. Let w(v) = -9*v**2 + 1068*v - 73999. Let c(r) = 4*w(r) + 10*z(r). Factor c(j).
4*(j - 136)**2
Let k be 2/(1 - (5 - -10)). Let u = k - -17/21. Factor 10/3*d + 2*d**2 + 4/3 - 2/3*d**3 - u*d**4.
-2*(d - 2)*(d + 1)**3/3
Let a(u) be the second derivative of -u**7/42 - u**6/30 + u**5/10 + u**4/6 - u**3/6 - u**2/2 - 388*u. Factor a(p).
-(p - 1)**2*(p + 1)**3
Let y(u) = -100*u**4 - 370*u**3 - 460*u**2 + 1160*u + 2375. Let p(v) = -11*v**4 - 41*v**3 - 51*v**2 + 129*v + 264. Let f(m) = -55*p(m) + 6*y(m). Factor f(d).
5*(d - 2)*(d + 3)**3
Suppose 2/3*s**3 + 16*s - 24 + 22/3*s**2 = 0. Calculate s.
-6, 1
Let m = 625 + -1113/2. Let a = 74 - m. Solve -2 - 7/2*y**4 + a*y**2 + 6*y - 6*y**3 = 0.
-2, -1, 2/7, 1
Let f(s) be the second derivative of -s**5/100 - s**4/15 + s**3/30 + 2*s**2/5 + 491*s. Determine x, given that f(x) = 0.
-4, -1, 1
Let h = -8 + 14. Suppose 4*j - b = -0*b + h, -2*j = -b - 2. Factor p**2 - 3*p**j + 0 - 4 + 3*p + 3*p.
-2*(p - 2)*(p - 1)
Suppose 0 = t + 48459 - 48462. Factor -6/5*f**2 + 2/5*f**t - 2/5 + 6/5*f.
2*(f - 1)**3/5
Let p(k) = -25*k - 10. Let t be p(-2). Let n = -39 + t. Let -b - n - 1/4*b**2 = 0. Calculate b.
-2
Let c(t) be the third derivative of -t**6/120 - t**5/20 + 3*t**4/8 + 7*t**3/3 + 9*t**2. Let s(m) be the first derivative of c(m). What is w in s(w) = 0?
-3, 1
Let z(p) be the first derivative of -5*p**4/6 + 2*p**3/3 + 3*p**2 - 12*p - 34. Let i(l) be the first derivative of z(l). What is v in i(v) = 0?
-3/5, 1
Let r = -80 - -78. Let j be (-25)/(-1950) - 2/26*r. Let -j*x**5 + 1/6 - 1/3*x**2 - 1/6*x + 1/3*x**3 + 1/6*x**4 = 0. What is x?
-1, 1
Let g(c) be the second derivative of c**5/15 - 2*c**4/3 + 8*c**3/3 - c**2 + c. Let k(f) be the first derivative of g(f). Factor k(h).
4*(h - 2)**2
Let o(x) = 6*x**3 - 16*x**2 + 19*x - 4. Let m = -33 - -19. Let q(k) = 18*k**3 - 48*k**2 + 56*k - 12. Let z(v) = m*o(v) + 5*q(v). Factor z(n).
2*(n - 1)**2*(3*n - 2)
Let z(v) be the first derivative of -v**7/210 - v**6/120 + v**5/30 - 3*v**2/2 + 7. Let k(f) be the second derivative of z(f). Factor k(j).
-j**2*(j - 1)*(j + 2)
Suppose 24*r - 16 = 2*d + 28*r, -2*d + 3*r = -12. Let i(o) be the second derivative of -5/3*o**4 + d - 8*o - 25/6*o**3 - 1/4*o**5 - 5*o**2. Factor i(m).
-5*(m + 1)**2*(m + 2)
Let h = -159 - -162. Let u = -2471/9 + 275. Factor 1/9 + 1/9*d**4 + 4/9*d + u*d**h + 2/3*d**2.
(d + 1)**4/9
Let r = 60260/33 + -1826. Let m(w) be the first derivative of -2 + r*w**3 - 3/11*w**2 + 0*w. Factor m(p).
2*p*(p - 3)/11
Let j = -353/5 - -71. Suppose 5*c = -z + 7, 3*c = -35*z + 33*z. Find x such that -j - 9/5*x + 26/5*x**c = 0.
-2/13, 1/2
Factor 88 + 97*s**3 + 2844*s + s**4 - 1946*s**2 - 511 - 8*s**4 - 225 - 340*s**3.
-(s - 1)*(s + 18)**2*(7*s - 2)
Suppose 0*c - 5*c + 5 = -5*l, 8 = 4*l. Suppose 5*b + z = 20, -z + 1 = 2*b - 7. Solve -3*q**4 + 3*q**b - 3*q**4 + 4*q**5 + 4*q**2 - q**4 - 4*q**c = 0.
-1, 0, 1
Suppose r - 30 = -2*r. Let x = -6 + r. Factor -3*f**2 - 2*f**3 - f - 2*f**x - f**3 + 0*f + f**4.
-f*(f + 1)**3
Let p be (2/(-10))/((-936)/1430). Let y = p - 1/12. Let -40/9*j + 2/3*j**4 - 6*j**5 + 94/9*j**3 + y*j**2 - 8/9 = 0. Calculate j.
-1, -2/3, -2/9, 1
What is q in 6*q + 3*q**2 - 21*q**3 + 7*q**2 - 49*q**2 = 0?
-2, 0, 1/7
Let v be (-6 - -9)*1*15. Suppose -2*f + 7*f - v = 0. Factor -f*k + 4*k**3 - 1 - 7 - 16*k**2 + 29*k + 0*k**3.
4*(k - 2)*(k - 1)**2
Let x(d) be the second derivative of -1/42*d**5 + 2/21*d**4 + 0*d**2 + 0 + 2*d**3 - 14*d + 1/630*d**6. Let u(g) be the second derivative of x(g). Factor u(c).
4*(c - 4)*(c - 1)/7
Let y(b) = 39*b**2 + 55*b + 25. Let j(o) = 19*o**2 + 27*o + 12. Let a be 49/(-7)*(-3 + 2). Let q(s) = a*j(s) - 3*y(s). Let q(t) = 0. Calculate t.
-3/4
Let q(j) be the third derivative of -j**5/660 - j**4/66 + 5*j**3/66 + 10*j**2 - 11. Factor q(l).
-(l - 1)*(l + 5)/11
Find c, given that -95*c - 15*c**2 + 5*c**3 + 90 - 48*c + 95*c**2 - 32*c = 0.
-18, 1
Factor -78 + 24*q + 2*q - 258 + 14*q + 5*q**2 + 96.
5*(q - 4)*(q + 12)
Let f = 35809/68 - 2099/4. Let m = f - 6/17. Find h such that -m*h**2 + 3/2*h + 0 = 0.
0, 1
Let a(k) = 6*k**3 - 12*k**2 - 22*k - 4. Let b(v) = 24*v**3 - 49*v**2 - 87*v - 18. Let g(p) = 9*a(p) - 2*b(p). Suppose g(q) = 0. Calculate q.
-4/3, 0, 3
Let i(z) be the first derivative of -z**4/2 - 9*z**3 - 13*z**2/2 - 78. Suppose i(j) = 0. What is j?
-13, -1/2, 0
Factor 0 - 8/19*t + 2/19*t**2.
2*t*(t - 4)/19
Let h(u) be the second derivative of -2/3*u**3 - 13 + 1/15*u**4 + u + 12/5*u**2. Factor h(k).