that -50/7*f**2 - 2/7 - t*f = 0.
-1/5
Let x(j) = -j**2 - 6*j - 6. Let m be x(-4). Let n be (-1)/(m*(-2)/20). Factor 16*b**3 + 19 - 6*b**3 + 15*b**2 - n*b**4 + 1 - 40*b.
-5*(b - 2)*(b - 1)**2*(b + 2)
Suppose -4*u + 5 = -5*w, -4*w + 0*u - 3 = -3*u. Solve 13*c - 3 - 16*c - c**3 + 4*c**3 + w*c**2 = 0 for c.
-1, 1
Let u(n) be the second derivative of -3/2*n**2 - 9/8*n**4 - 11*n - 1/20*n**6 + 7/4*n**3 + 0 + 3/8*n**5. Factor u(m).
-3*(m - 2)*(m - 1)**3/2
Let l(i) be the third derivative of i**6/30 - i**5/15 - 2*i**4/3 + 8*i**3/3 + 14*i**2 + 2*i. Let l(u) = 0. Calculate u.
-2, 1, 2
Let f(h) = 6*h**4 + 7*h**3 - 5*h - 5. Let w(k) = -6*k**4 + 18*k - k**4 - 8*k**3 + 6 - 12*k. Let r(x) = 6*f(x) + 5*w(x). Factor r(v).
v**3*(v + 2)
Suppose -3*d = 2*g - 20, 2*d + 7 + 1 = 4*g. Factor 3/2*m**2 + 3*m**3 - 3*m - 3/2*m**d + 0.
-3*m*(m - 2)*(m - 1)*(m + 1)/2
Suppose 54/5 + 21/5*v**4 + 3*v**3 - 27*v - 39*v**2 = 0. Calculate v.
-3, -1, 2/7, 3
Let x be ((-28)/(-4))/(-7) - -3. Factor 10/9*b**x - 4/9*b + 0.
2*b*(5*b - 2)/9
Let j be 6/36*0 + -4 - (-18 - -14). Factor 3/7*r**4 + 3/7*r**2 + 6/7*r**3 + j*r + 0.
3*r**2*(r + 1)**2/7
Let p(w) = -1. Let l(r) be the first derivative of -7/2*r**2 - 3*r - 4 - 4/3*r**3. Let y(c) = 3*l(c) - 15*p(c). Factor y(x).
-3*(x + 2)*(4*x - 1)
Let y(o) be the second derivative of -o**4/39 - 31*o**3/39 - 15*o**2/13 - 2*o - 23. Let y(i) = 0. What is i?
-15, -1/2
Let b(r) = -r**5 - r**4 + r**3 + r**2. Let j(a) = a**5 + 7*a**4 - 8*a**3 - 2*a**2. Let w(s) = -6*b(s) - 3*j(s). Factor w(t).
3*t**3*(t - 3)*(t - 2)
Let h be (-2)/19*-1 - (-2376)/3420. Factor 8/5 + 4*u + 16/5*u**2 + h*u**3.
4*(u + 1)**2*(u + 2)/5
Suppose 0 = -10*f + 10 + 100. Let d(j) = -8*j**2 - 12*j - 15. Let g(p) = -3*p**2 - 4*p - 5. Let m(h) = f*g(h) - 4*d(h). What is q in m(q) = 0?
-1, 5
Let d be ((-66)/(-20))/3 - 132/220. Let o(h) be the second derivative of 1/12*h**4 - 1/3*h**3 + d*h**2 + 0 + 3*h. Find k such that o(k) = 0.
1
Suppose 21 = 9*j - 15. Let t(a) be the third derivative of -1/18*a**j + 0*a - 1/72*a**6 + 0*a**3 + 1/630*a**7 + 0 - 3*a**2 + 2/45*a**5. What is d in t(d) = 0?
0, 1, 2
Let u be 0 - ((-2)/(-4))/((-2)/8). Let l be (6 + 2)/u - 0. Factor -4/3*s**2 - 1/3*s**l + 0*s + 0 + 4/3*s**3.
-s**2*(s - 2)**2/3
Suppose -5*b + 35 = -35. Let r = b + -12. Factor -r*v**2 - 4*v - 2*v**3 - 3*v**3 + 0*v**3 + 7*v**3.
2*v*(v - 2)*(v + 1)
Let i = -329 + 333. Let b(d) be the first derivative of 1/16*d**i + 0*d**2 - 1/12*d**3 + 4 + 0*d. Factor b(j).
j**2*(j - 1)/4
Let 50/13 - 4*c + 2/13*c**2 = 0. Calculate c.
1, 25
Let g(o) be the first derivative of -o**4/18 - 8*o**3/27 + 5*o**2/9 - 573. Factor g(k).
-2*k*(k - 1)*(k + 5)/9
Suppose 6*v - 3*v - 6 = 0. Suppose -2*b**2 - b**3 + b**v + 5*b**2 + 0*b**3 - 4*b = 0. What is b?
0, 2
Let v = -1382 + 1385. Let 8/7*s + 2/7*s**2 - 8/7 - 2/7*s**v = 0. What is s?
-2, 1, 2
Let o(i) be the second derivative of -32*i**6/15 - 48*i**5/5 - 18*i**4 - 18*i**3 - 9*i**2/2 + 13*i. Let g(y) be the first derivative of o(y). Factor g(k).
-4*(4*k + 3)**3
Let p(i) be the second derivative of 1/5*i**6 + 0*i**3 + 0*i**5 + 0*i**4 + 0*i**2 + 1/14*i**7 - 2*i + 0. Let p(y) = 0. What is y?
-2, 0
Let x be 15/3 - ((-299)/(-23) + -10). Determine y so that -21/2*y + 0 - 3/2*y**x = 0.
-7, 0
Let q = 704/3 - 231. Let j = q - 3. Find w, given that 0 - j*w - 1/3*w**2 + 1/3*w**3 = 0.
-1, 0, 2
Let k(i) be the first derivative of -i**6/12 + 4*i**5/5 - 21*i**4/8 + 7*i**3/3 + 5*i**2 - 12*i - 18. Factor k(t).
-(t - 3)*(t - 2)**3*(t + 1)/2
Suppose -3*h - 16 = -h. Let v = h + 12. Factor 0*b**4 + 2*b**v - 2*b**4 - 4*b**2 + 4*b**4.
4*b**2*(b - 1)*(b + 1)
Let j = 747 - 747. Find m, given that -4/5*m + j - 1/5*m**2 = 0.
-4, 0
Let z(v) = 5*v**2 + 198*v - 9804. Let m(w) = 3*w**2 + 198*w - 9803. Let j(s) = 3*m(s) - 2*z(s). Factor j(i).
-(i - 99)**2
Let v be (8/(-8790))/((-30)/43725). Let g = v + 2/293. Factor -g*j**2 + 2/3*j**3 + 4/3 - 2/3*j.
2*(j - 2)*(j - 1)*(j + 1)/3
Let k(q) be the third derivative of q**6/80 - q**5/80 - 3*q**4/32 + 110*q**2. Solve k(m) = 0 for m.
-1, 0, 3/2
Factor 0*z**2 + 8/5*z**3 + 0*z**4 - 4/5*z + 0 - 4/5*z**5.
-4*z*(z - 1)**2*(z + 1)**2/5
Suppose -55*q**5 - 56*q**2 + 16*q**4 + 98*q**5 + 28*q - 39*q**5 - 32*q**3 + 40 = 0. What is q?
-5, -1, 1, 2
Let c = 417 - 2077/5. Determine h, given that -4/5*h**3 + 16/5*h + c - 2/5*h**4 + 6/5*h**2 = 0.
-2, -1, 2
Let b(w) be the first derivative of 2/39*w**3 - 4 + 18/13*w - 6/13*w**2. Solve b(n) = 0 for n.
3
Let v(a) be the first derivative of 6*a + a**2 - 6 + 1/18*a**3. Factor v(k).
(k + 6)**2/6
Let q(v) = v**3 - v**2 + 3. Let c(w) = -14*w**2 + 8*w - 12. Let k(y) = c(y) + 4*q(y). Factor k(f).
2*f*(f - 4)*(2*f - 1)
Let f be (-6)/27 + (-130)/(-18). Let w be ((-8)/(-28))/(6/84). Find g such that 0 - 2 + 15*g**2 + 4*g**w + 3 - 13*g**3 - f*g = 0.
1/4, 1
Let i = -863/44 - -216/11. Let k(o) be the third derivative of -1/33*o**3 + 0 - i*o**4 + 0*o + 3*o**2 - 1/165*o**5. Find q, given that k(q) = 0.
-1, -1/2
Let m(a) be the second derivative of 2/45*a**6 - 1/18*a**3 + 17*a - 1/9*a**4 + 1/42*a**7 + 0 - 1/30*a**5 + 0*a**2. Solve m(v) = 0 for v.
-1, -1/3, 0, 1
Let f = -83/456 + -108829/15048. Let m = f + 84/11. Factor -2/9*i**5 + 4/9*i**3 - 2/9 - 2/9*i - m*i**4 + 4/9*i**2.
-2*(i - 1)**2*(i + 1)**3/9
Let y = 1 - -1. Let p be y/(-20)*(-35)/14. Factor p*n**2 + 0*n - 1/4.
(n - 1)*(n + 1)/4
Suppose 25*y = 26*y - 5. Suppose -3*s**2 + y*s + 13 + s**2 - 3 - 3*s**2 = 0. What is s?
-1, 2
Let r(u) be the first derivative of 15*u**2 + 18*u + 20 + 3/2*u**3. Find n such that r(n) = 0.
-6, -2/3
Suppose 3*a - l = -0*l + 16, -25 = -5*l. Suppose -3*j = -a*j. Factor 0*n + j*n - 1 - 2 + 7*n - 5*n**2 + n**3.
(n - 3)*(n - 1)**2
Factor -1/8*q**4 + 0 + 5/2*q**3 + 0*q**2 + 0*q.
-q**3*(q - 20)/8
Let t(a) be the third derivative of a**6/30 - 182*a**5/5 + 16562*a**4 - 12057136*a**3/3 + 5*a**2 - 22. Determine c so that t(c) = 0.
182
Let w(g) = -3*g - 4*g + 4*g + 2*g + 1. Let a(h) = -3*h**2 - 8*h - 1. Let o be ((-3)/2)/((-15)/20). Let t(r) = o*w(r) - a(r). Factor t(i).
3*(i + 1)**2
Let h = 18106 - 144837/8. Factor -19/8*q + 1/2 + h*q**2 + 1/2*q**3.
(q - 1)*(q + 4)*(4*q - 1)/8
Suppose 18/5*f - 3/5*f**2 - 27/5 = 0. Calculate f.
3
Let b(m) be the third derivative of -m**6/200 - 3*m**5/50 - m**4/8 + 239*m**2. Factor b(x).
-3*x*(x + 1)*(x + 5)/5
Let w be (-15)/(-12) + ((-209)/572)/19. Factor -24/13 + 2/13*f**2 - w*f + 2/13*f**3.
2*(f - 3)*(f + 2)**2/13
Let j = 65 + -61. Determine r so that 17*r - 10*r**2 + 5*r**5 - 7*r - 15*r + 10*r**j = 0.
-1, 0, 1
Suppose -c + 3 = -5*p - 1, 5*c + 3*p = 48. Let a(i) = -i**3 + 5*i**2 + 36*i + 2. Let j be a(c). Let -2 + 9/4*h**4 + 3/4*h**3 - 7*h - 13/2*h**j = 0. What is h?
-1, -2/3, 2
Let m(w) = 2*w**3 - w**3 + 5*w + 1 - 4*w + 0. Let q(k) = 4*k**3 + 2*k**2 + 1. Let a(x) = x - 7. Let d be a(3). Let f(t) = d*q(t) + 4*m(t). Solve f(h) = 0 for h.
-1, 0, 1/3
Let a(u) be the first derivative of -12 + 0*u**4 + 1/7*u**2 + 1/7*u**3 - 1/35*u**5 + 0*u. Factor a(n).
-n*(n - 2)*(n + 1)**2/7
Suppose -436*s**5 + 168*s**3 + 280*s**2 + 212*s + 8 + 221*s**5 + 44*s**4 + 52 + 219*s**5 = 0. What is s?
-5, -3, -1
Let f(g) be the third derivative of -g**8/120 + g**7/210 + 3*g**3 + 13*g**2. Let h(q) be the first derivative of f(q). Factor h(j).
-2*j**3*(7*j - 2)
Let m be (-1 - (-35)/25) + (-22)/5. Let g be (1 - m/(-3))/((-5)/18). Find b, given that 0 - 3/5*b**2 - g*b = 0.
-2, 0
Suppose -72 + 0 = -n. Factor 0*z**2 - 3 + 3*z**2 + 0 - 18*z + 6 + n*z**3 + 48*z**4.
3*(z + 1)**2*(4*z - 1)**2
Let v(y) be the third derivative of -y**7/280 + y**6/32 - 3*y**5/40 + 2*y**2 + y. Factor v(n).
-3*n**2*(n - 3)*(n - 2)/4
Suppose 0 = 19*i + 20 - 77. Suppose -2*r + h + 5 = 0, r - h + i - 6 = 0. Suppose 0 - 4/3*u + 1/3*u**3 - u**r = 0. What is u?
-1, 0, 4
Let g be 4/(-14) - 484/(-77). Let u(m) be the third derivative of -1/60*m**g + 0*m**5 + 0*m**3 + 0*m**4 - 6*m**2 + 0*m + 0. Solve u(c) = 0.
0
Let z = -112 + 112. Suppose -3*w + 8 - 8 = z. What is j in 2/11*j**5 - 10/11*j**4 + 4/11*j + w - 14/11*j**2 + 18/11*j**3 = 0?
0, 1, 2
Let 1241*u - 5*u**4 - 1241*u + 80*u**2 - 30*u**3 = 0. Calculate u.
-8, 0, 2
Let z(n) be the second derivative of 23*n + 3/140*n**5 + 9/14*n**2 + 1/28*n**4 + 0 - 5/14*n**3. Solve z(w) = 0 for w.
-3, 1
Let o(z) = -3. Let a(b) = 3*b**3 + 6*b**2 - 165*b - 609. Let h(u) = -a