*a**6 + 0 - 18*a**2. Factor b(r).
(r + 6)**3/2
Let t(h) be the second derivative of h**8/112 + h**7/210 - h**6/40 - h**5/60 - 11*h**2/2 - h. Let y(x) be the first derivative of t(x). Solve y(n) = 0 for n.
-1, -1/3, 0, 1
Let w = 658 - 658. Let d(n) be the second derivative of w - 3*n - 1/4*n**4 + 0*n**2 - 1/6*n**3 - 1/10*n**5. Let d(j) = 0. Calculate j.
-1, -1/2, 0
Let y(l) be the first derivative of 0*l**3 + 9 - 1/24*l**6 - 1/5*l**5 + 0*l + 0*l**2 - 1/4*l**4. Let y(o) = 0. What is o?
-2, 0
Let x(r) be the first derivative of -147*r**5/20 - 5229*r**4/2 - 248998*r**3 - 212148*r**2 - 60492*r + 9. Factor x(m).
-3*(m + 142)**2*(7*m + 2)**2/4
Let w(y) be the third derivative of -1/900*y**6 - 2/45*y**3 + 1/225*y**5 + 0*y + 0 + 1/180*y**4 + 17*y**2. Solve w(g) = 0.
-1, 1, 2
Let u be 8 - 132/20 - 1. Factor -4/15*m + 2/15*m**2 - u.
2*(m - 3)*(m + 1)/15
Let x(a) = a**2 - 318*a + 8. Let i(o) = -318*o + 6. Let s(k) = -4*i(k) + 3*x(k). Factor s(r).
3*r*(r + 106)
Factor -433/2*g**2 - 153*g - 81/2 - 32*g**4 - 136*g**3.
-(g + 1)**2*(8*g + 9)**2/2
Let t(q) = 32*q**4 - 60*q**3 - 4*q**2 + 56*q - 28. Let s(k) = k**5 - 33*k**4 + 59*k**3 + 5*k**2 - 57*k + 28. Let w(d) = 4*s(d) + 3*t(d). Factor w(z).
4*(z - 7)*(z - 1)**3*(z + 1)
Suppose -i = 4*r - 46, -3*r + 2*i + 40 = r. Factor 23*j**3 - 6 - 10*j**3 - r*j**3 + 14*j - 10*j**2.
2*(j - 3)*(j - 1)**2
Suppose -91 = -5*v - 4*p - 36, 0 = -2*v - 5*p + 39. Let f = -5 + v. Determine w so that -15*w**3 - 4*w + 5*w**f + 63*w**3 - 9*w**2 = 0.
-1/4, 0, 1/3
Suppose -15 = -11*b + 40. Solve -8 - 5*z - b*z - 5*z**2 - 2*z + z**2 = 0.
-2, -1
Suppose -17 + 53 = -4*j. Let k be (j/(-6))/((-6)/(-16)). Factor k*n**3 - 6*n**2 + 2*n**4 - 13 - 27*n + 11*n + 5.
2*(n - 2)*(n + 1)**2*(n + 2)
Let k(g) be the first derivative of -1/2*g**3 - 1/6*g - 1/2*g**2 + 21. Factor k(l).
-(3*l + 1)**2/6
Suppose 45*b + 183 = 106*b. Let u(o) be the second derivative of 1/9*o**4 + 0 + 5/18*o**b + 1/3*o**2 - 7*o + 1/60*o**5. Factor u(k).
(k + 1)**2*(k + 2)/3
Let g(v) be the third derivative of -4/315*v**7 + 0 + 1/36*v**4 + 1/30*v**6 + 1/504*v**8 + 0*v + 0*v**3 - 2/45*v**5 - 21*v**2. Find l, given that g(l) = 0.
0, 1
Let m = 31 - 37. Let g(a) = -a**2 - 4*a + 14. Let y be g(m). Factor 0*v + 14/9*v**4 + 0 - 10/9*v**3 - 4/9*v**y.
2*v**2*(v - 1)*(7*v + 2)/9
Let c(t) be the second derivative of t**6/30 - t**5/5 + t**4/4 + 2*t**3/3 - 2*t**2 - 10*t - 4. Let c(f) = 0. Calculate f.
-1, 1, 2
Let 65 + 1/2*y**2 + 131/2*y = 0. What is y?
-130, -1
Suppose 2*f + 88*f = 180. Factor -2/11 + 0*n + 2/11*n**f.
2*(n - 1)*(n + 1)/11
Let k(n) be the second derivative of 0 + 3/4*n**5 + 10/3*n**3 + 0*n**2 - 9*n + 10/3*n**4. Factor k(z).
5*z*(z + 2)*(3*z + 2)
Let w = 2674/15 + 593/15. Let v = w + -217. Factor 0 + v*x - 2/5*x**2.
-2*x*(x - 2)/5
Let -28/5*u - 2/5*u**2 - 48/5 = 0. What is u?
-12, -2
Factor -593*n + 303 + 287 - 195 + 421*n + 85 + 4*n**2.
4*(n - 40)*(n - 3)
Suppose -r + 9 = 6. Let a(p) be the first derivative of -p**3 + r*p + 3/2*p**2 - 7 - 3/4*p**4. Factor a(m).
-3*(m - 1)*(m + 1)**2
Let r(v) = v + 6. Let d be r(-3). Suppose -2 + 7 - 26*h**3 - 25*h + 40*h**2 + 6*h**d = 0. What is h?
1/2, 1
Let -192*w + 1045*w**2 + 1093*w**2 + 23*w**3 + w**4 - 288 - 2020*w**2 = 0. What is w?
-12, -1, 2
Let 2/3*i**2 - 48*i + 864 = 0. What is i?
36
Let s = -10 - -12. Solve 6*v + 6 + 59*v**2 - 57*v**2 + 0*v - s = 0 for v.
-2, -1
Solve 22*m**2 + 10/9*m**3 - 250/9*m + 14/3 = 0 for m.
-21, 1/5, 1
Let l be (3/9)/(2/24). Suppose -l*v = -5*v. Factor -3*h + h**3 + v*h - 2*h**2 + 4*h.
h*(h - 1)**2
Let b(g) = g**3 - g**2 + 2*g. Let i = 8 + -5. Let u(a) = 2*a**2 + 6*a - i*a + 2*a**3 - 3*a**2. Let d(h) = -3*b(h) + 2*u(h). Let d(v) = 0. Calculate v.
-1, 0
Let v(m) = m**3 + 21*m**2 + 4*m + 86. Let u be v(-21). Let b(h) be the first derivative of 0*h + 2/9*h**u + 3 + 2/27*h**3. Find f, given that b(f) = 0.
-2, 0
Let t be ((-6)/21)/(4/64*-4). Let -2/7*f**2 - t + 10/7*f = 0. What is f?
1, 4
Let h(d) = -d**4 - d**3 + 1. Let z(s) = 2*s**4 - 11*s**3 + s**2 + 2*s + 3. Let m = 1 - 0. Suppose -15*f - 15 = 30. Let a(y) = f*h(y) + m*z(y). Factor a(t).
t*(t - 1)**2*(5*t + 2)
Let i(o) = 9*o**2 + 3*o + 11. Let g(d) = 8*d**2 + 2*d + 11. Let v(m) = 4*g(m) - 3*i(m). Let f(b) = -b**2 - 2. Let u(z) = 33*f(z) + 6*v(z). Factor u(a).
-3*a*(a + 2)
Let d(b) be the first derivative of b**6/54 - 7*b**4/36 - 2*b**3/27 + 2*b**2/3 + 8*b/9 + 30. Determine k, given that d(k) = 0.
-2, -1, 2
Let o(a) = -28*a**3 - 15*a**2 - 2*a + 5. Let d(v) = 2*v**3 - 1. Let t(n) = 5*d(n) + o(n). Determine x so that t(x) = 0.
-2/3, -1/6, 0
Suppose -b + 4*z + 1 = 0, -6*b + b = 4*z - 29. Let j(a) be the second derivative of 0*a**b - 1/10*a**6 + 0 + 1/4*a**4 + 0*a**3 + a + 0*a**2. Factor j(q).
-3*q**2*(q - 1)*(q + 1)
Let c(n) be the second derivative of -4/5*n**3 + 0*n**2 - 5*n - 1/50*n**6 - 9/50*n**5 + 0 - 3/5*n**4. Factor c(a).
-3*a*(a + 2)**3/5
Let r = 29/105 - 8/105. Suppose r*t**2 - 3/5*t + 0 = 0. Calculate t.
0, 3
Let y(f) be the third derivative of -f**6/120 - f**5/8 - f**4/2 - 2*f**3 + 9*f**2. Let z(n) be the first derivative of y(n). Suppose z(b) = 0. Calculate b.
-4, -1
Determine u, given that 2/13*u**5 - 126/13*u**3 + 0 + 168/13*u - 8/13*u**2 - 36/13*u**4 = 0.
-2, 0, 1, 21
Let m = 41/92 + 7/23. Let a(c) be the second derivative of 5/4*c**4 - 12*c - 5/6*c**3 + 0*c**2 + 0 + 1/6*c**6 - m*c**5. Find s such that a(s) = 0.
0, 1
Suppose -3*l + 12 = 4*j - 8, j = 5*l - 18. Suppose l*k - 4*f - 28 = 0, -3*k + 17 = -2*k - 3*f. What is z in -8/3*z + 2/3 + 8/3*z**k = 0?
1/2
Suppose 0 = -3*y + 3 + 12. Suppose 4*d = -y*q + 3*d + 11, 3*q - d = 13. Factor 2*i - 4*i + 3*i + 2*i**3 - q*i**3.
-i*(i - 1)*(i + 1)
Let s(i) be the third derivative of -1/300*i**5 + 0*i + 0 - 23*i**2 + 1/40*i**4 - 1/15*i**3. Factor s(b).
-(b - 2)*(b - 1)/5
Suppose -4 = 4*j - 5*w - 10, 5*w = 10. Find x, given that 6*x**2 + x**4 + 5*x**5 - x**2 - 2*x**4 - 5*x**3 - j*x**4 = 0.
-1, 0, 1
Factor 5/4*k**3 + 40*k**2 + 0 + 155/4*k.
5*k*(k + 1)*(k + 31)/4
Suppose 0 = 57*g - 55*g - 6. Determine w so that 0*w**3 - 6*w**3 + 80*w + 300*w**2 - 525*w**4 + 17*w**3 + 9*w**g + 125*w**5 = 0.
-2/5, 0, 1, 4
Find v, given that -30*v + 15*v - 18*v - 24*v**3 + 27 + 66*v**2 + 3*v**4 - 39*v = 0.
1, 3
Let z(j) = -j**3 + 6*j**2 - 24*j + 19. Let i(m) = m**2 + m - 2. Let w(f) = -15*i(f) - 3*z(f). Suppose w(v) = 0. Calculate v.
1, 9
Suppose 2*g - 5 = -5*n, -4*n = g + n. Suppose -3*q + 26 = 4*w - 0, -4*q = g*w - 34. Let -8 - 16*y**2 + q*y**3 + 3*y**3 - 5*y**3 + 20*y = 0. What is y?
1, 2
Let g be (-9)/1 - 1*(-67)/7. Factor 0 - 2/7*o - 2/7*o**3 + g*o**2.
-2*o*(o - 1)**2/7
Factor 4*g**2 - 101*g + 34*g**3 + 203*g - 102*g.
2*g**2*(17*g + 2)
Suppose 6*m - 5 = 5*m. Find f such that 9 - 2 - m*f**2 + 13 = 0.
-2, 2
Let m(g) be the first derivative of 18 - 6/35*g**5 - 6/7*g**2 - 5/7*g**4 - 8/7*g**3 - 2/7*g. Factor m(s).
-2*(s + 1)**3*(3*s + 1)/7
Let c be (-2)/(-8) + 121/(-484). Let l(w) be the third derivative of 3*w**2 - 1/10*w**5 + 0*w**3 + c + 0*w**4 + 0*w - 1/60*w**6. Find d, given that l(d) = 0.
-3, 0
Suppose 12*o + 34 - 82 = 0. Let m(j) be the first derivative of -1/2*j**2 + 0*j + 2/3*j**3 + 1 + 1/6*j**6 + 0*j**o - 2/5*j**5. Let m(v) = 0. Calculate v.
-1, 0, 1
Let c be (5 - (-2 - -5))/(360/540). Let 0 + c*v + 1/2*v**2 = 0. What is v?
-6, 0
Let w be ((-602)/(-4))/(-7)*(-7 + 9). Let s be (-1)/((-10)/38) + 129/w. Suppose -s - 6/5*g - 2/5*g**2 = 0. What is g?
-2, -1
Let h(f) be the third derivative of 2*f**7/105 + f**6/6 - 5*f**5/3 - 5*f**4/6 + 16*f**3 - 2*f**2 - 35*f. Find l, given that h(l) = 0.
-8, -1, 1, 3
Let m be 2/(-2) + (-117 - 1). Let g be m/(-49) - (-6)/(-14). Factor 12*k + g - 4*k**2 - 5 - 5.
-4*(k - 2)*(k - 1)
Let z(u) = 3*u**3 + 47*u**2 - 118*u - 2. Let q(s) = -9*s**3 - 139*s**2 + 356*s + 7. Let o(b) = 2*q(b) + 7*z(b). Suppose o(n) = 0. What is n?
-19, 0, 2
Let v(p) = -p**3 - 11*p**2 - 2*p - 20. Let h be v(-11). Let c be (h/3 + 52/(-96))*2. Suppose -c*s**2 + 0*s + 0*s**3 + 1/4*s**4 + 0 = 0. Calculate s.
-1, 0, 1
Let o be 34/16 - (-14)/(-112). Suppose 12 = o*w + 2. Let -3*m**w - 9*m**2 - 4*m**3 - 2*m**3 + 9*m**2 + 9*m**4 = 0. What is m?
0, 1, 2
Let x(d) be the third derivative of -d**5/80 + 9*d**4/32 + 5*d**3/4 + 116*d**2. What is j in x(j) = 0?
-1, 10
Factor 123*v**3 - 30*v**4 - 130*v - 147*v**2 + 7*v**4 - 8*v**5 - 6 +