 for w.
0, 1
Let w(d) = -d**2 + d - 1. Let a(j) = 5*j**2 - 3*j + 4. Let b be 4 - (15 - -2) - -4. Let z be 6/4*(-24)/b. Let h(x) = z*w(x) + a(x). Solve h(s) = 0 for s.
-1, 0
Let m = 32 + -30. Solve 3*a**2 + 2*a**3 - 2*a**m + 0*a**2 - a**3 = 0 for a.
-1, 0
Factor 0 - 2/13*l**4 - 32/13*l**2 + 14/13*l**3 + 24/13*l.
-2*l*(l - 3)*(l - 2)**2/13
Let d(x) be the first derivative of x**4/4 + 28*x**3/3 + 165*x**2/2 - 450*x - 355. Factor d(q).
(q - 2)*(q + 15)**2
Let d be 5112/160 + 1/(-5) + 0. Let h = d + -31. Factor -9/4*c + h*c**2 + 0.
3*c*(c - 3)/4
Let h(l) be the first derivative of 9 + 5/3*l**3 - 5*l**2 + 0*l. Factor h(f).
5*f*(f - 2)
Suppose 0 = -7*i + 4*i - 2*r + 14, 4*r = -5*i + 26. Factor -3836 - 18*h + 3836 + 10*h**3 - 2*h**4 - 6*h**i.
-2*h*(h - 3)**2*(h + 1)
Let l(f) be the third derivative of f**6/120 - f**5/40 + 5*f**3/2 + 32*f**2. Let c(y) be the first derivative of l(y). Solve c(h) = 0.
0, 1
Let m be (-2 - 4) + (-2960)/(-480). Factor 1/2*f - m*f**2 - 1/3.
-(f - 2)*(f - 1)/6
Let c(y) be the first derivative of 2/15*y**4 + 2/5*y**2 - 3*y + 1/50*y**5 + 1/3*y**3 - 4. Let k(w) be the first derivative of c(w). Solve k(a) = 0 for a.
-2, -1
Determine j, given that 20*j**2 - 16 + 11*j**4 - 16*j - 7*j**4 + 16*j**3 - 8*j**2 = 0.
-2, -1, 1
Find u, given that 10 + 35*u - 5*u**3 + 13 + 10*u**2 - 10*u**2 + 7 = 0.
-2, -1, 3
Factor -38*o + 45*o**2 - 20*o**3 - 24*o**2 + 40*o**2 - 86*o + 48 + 35*o**2.
-4*(o - 3)*(o - 1)*(5*o - 4)
Suppose 49*t - 53*t + 12 = 0. Let o = -17/6 + t. Suppose 0 - o*s**2 - 1/3*s = 0. What is s?
-2, 0
Let h(f) be the second derivative of f**7/147 + f**6/35 - f**5/7 + f**4/21 + 3*f**3/7 - 5*f**2/7 + 176*f. Factor h(u).
2*(u - 1)**3*(u + 1)*(u + 5)/7
Let o = 150 + -102. Suppose 3*g - 60 = -o. Let g*p + 0*p**2 - p - 5*p**2 + 2*p = 0. What is p?
0, 1
Let u(j) be the third derivative of -j**7/105 + j**6/10 + 47*j**5/30 - 14*j**4 - 784*j**3/3 + 60*j**2. What is z in u(z) = 0?
-4, 7
Let p(k) = 8*k**2 - 13*k + 18. Suppose 0*m - 15 = 5*m, w = 3*m + 35. Let d(l) = 2*l**2 - 3*l + 4. Let q(n) = w*d(n) - 6*p(n). What is r in q(r) = 0?
-1, 1
Suppose 14*z - 120 = 16*z. Let h = -60 - z. Determine m, given that 2/7*m**3 + h - 1/7*m**2 - 2/7*m + 1/7*m**4 = 0.
-2, -1, 0, 1
Let -7*q + 12*q**2 - 4*q**3 - 108 + 99*q - 56*q = 0. Calculate q.
-3, 3
Suppose 12 = -4*z, y + 0*y + 5*z + 13 = 0. Suppose 2*l + 21 = 3*j + 6*l, 0 = 5*l - 15. Find f, given that -4*f + y*f**2 + j*f - f**2 = 0.
0, 1
Let s(n) be the second derivative of 11*n**6/135 - 2*n**5/9 + 7*n**4/54 + 2*n**3/27 - 2*n - 37. Factor s(d).
2*d*(d - 1)**2*(11*d + 2)/9
Suppose -3*g = -7*g + 8. Let -1 - 9*x - 3*x**g + 3*x - 1 - 1 = 0. What is x?
-1
Suppose 8/11 + 1/11*c**2 + 1/11*c**3 - 10/11*c = 0. Calculate c.
-4, 1, 2
Let x(d) be the first derivative of 16*d + 8/3*d**3 + 40 + 10*d**2 + 1/4*d**4. Find a, given that x(a) = 0.
-4, -2
Factor 3*q**3 + 1 + 16*q**2 + 23 - 7*q**2 - 9 - 27*q.
3*(q - 1)**2*(q + 5)
Let k(y) = -y**3 + 6*y**2 - 5*y + 6. Let v(a) = 2*a**3 - 13*a**2 + 11*a - 13. Let q(n) = 13*k(n) + 6*v(n). Let p be q(0). Solve -2/7*w + p + 4/7*w**2 = 0.
0, 1/2
Let i be (1/8)/(((-63)/168)/(162/(-8))). Let -3 + 9*p - i*p**2 = 0. Calculate p.
2/3
Let l(f) be the third derivative of 121*f**7/1470 + 33*f**6/140 - f**5/5 + f**4/21 - 656*f**2. Find v such that l(v) = 0.
-2, 0, 2/11
Let x(m) = m**3 - 12*m**2 - 28*m + 3. Let q be x(14). Suppose -4*g - q = -19. Solve 0*h - 1/5*h**2 + 1/5*h**g - 1/5*h**5 + 1/5*h**3 + 0 = 0.
-1, 0, 1
Let i(q) = 5*q**2 + 4*q + q**3 + 3*q**2 - 12*q**2. Let c be i(3). Factor 3*z**3 + 3*z**3 + 0*z**c - 5*z**3 - z.
z*(z - 1)*(z + 1)
Factor 80/3*k + 2/9*k**3 + 46/9*k**2 - 32.
2*(k - 1)*(k + 12)**2/9
Let o = -5567 - -5571. Solve -o*m**2 - 4/3*m**3 + 12*m - 20/3 = 0 for m.
-5, 1
Suppose 0 = 815*l - 827*l + 12. Factor -4/3*p - 1/3*p**2 - l.
-(p + 1)*(p + 3)/3
Suppose 26 = -20*h + 106. Let 0*r**2 + 0*r + 0 - 1/2*r**h + 0*r**3 = 0. Calculate r.
0
Suppose -5*m + 291 = -24. Let s be 266/m - (21/(-27) - -1). Factor -2/3*h**2 + 2/3*h**s + 0 - 4/3*h + 4/3*h**3.
2*h*(h - 1)*(h + 1)*(h + 2)/3
Solve -40/3 - 8/3*g**3 + 10*g**2 + 8*g - 2*g**4 = 0.
-2, 1, 5/3
Let t(u) be the first derivative of 1/9*u**3 + 1/2*u**2 - 3 + 2/3*u. Suppose t(b) = 0. What is b?
-2, -1
Let g(f) = -f**3 - 7*f**2 - 5*f + 8. Let v = -11 + 5. Let k be g(v). Factor m + 6*m + 2*m**3 - 8*m**k - m.
2*m*(m - 3)*(m - 1)
Let n(k) be the third derivative of -1/21*k**4 + 0*k**3 + 0 - 5/84*k**6 + 0*k + 13*k**2 + 2/21*k**5. Find w, given that n(w) = 0.
0, 2/5
Suppose -6 = -7*k + 6*k. Let f(o) be the third derivative of 2*o**2 + 0*o + 1/5*o**5 + o**3 + 5/8*o**4 + 0 + 1/40*o**k. Factor f(n).
3*(n + 1)**2*(n + 2)
Let p(g) be the first derivative of 2*g**2 + 4/5*g**5 + 4*g**3 + 3*g**4 - 10 + 0*g. Factor p(b).
4*b*(b + 1)**3
Let f be ((-3186)/295)/((-12)/16). What is g in 12/5 + 57/5*g**2 + 18/5*g**3 - 3*g**4 - f*g = 0?
-2, 1/5, 1, 2
Let y(g) be the second derivative of g**5/60 - g**4/36 - 5*g**3/18 - g**2/2 - 88*g. Solve y(t) = 0.
-1, 3
Let y = 380 + -377. Let g(h) be the first derivative of -3/20*h**4 + 0*h**2 - 2/5*h**3 + 0*h + 3/25*h**5 + y. Factor g(v).
3*v**2*(v - 2)*(v + 1)/5
Let o(p) be the third derivative of -p**6/120 - p**5/4 - 25*p**4/24 + 3*p**3 - 14*p**2. Let h be o(-13). Factor -2/3*l**h + 0*l**2 + 0*l**4 + 0*l + 0 + 0*l**3.
-2*l**5/3
Let r be -10 + 4 + 2/2. Let t = r + 15. Factor 18*f**2 + 27*f - t*f**2 + 6 - f.
2*(f + 3)*(4*f + 1)
Let x(z) be the first derivative of -18*z**5/25 - 61*z**4/10 - 116*z**3/15 + 32*z**2 - 64*z/5 - 129. What is s in x(s) = 0?
-4, 2/9, 1
Let x(k) be the third derivative of 0*k**4 + 0 + 1/80*k**6 + 0*k - 3/40*k**5 - 29*k**2 + k**3. Find r such that x(r) = 0.
-1, 2
Let v(p) be the second derivative of -3*p**5/140 - p**4/28 + p**3/7 + 3*p - 36. Solve v(g) = 0 for g.
-2, 0, 1
Let y(a) = a**5 + 32*a**4 - 6*a**3 - 32*a**2 + 5*a. Let n(d) = -32*d**4 + 4*d**3 + 32*d**2 - 4*d. Let p(m) = 5*n(m) + 4*y(m). Let p(c) = 0. Calculate c.
-1, 0, 1, 8
Let i(r) = -7*r**4 + 16*r**3 + 3*r**2 - 12*r - 8. Let y(x) = 19*x**4 - 47*x**3 - 8*x**2 + 36*x + 22. Let l(f) = 11*i(f) + 4*y(f). Let l(n) = 0. Calculate n.
-12, -1, 0, 1
Let n(x) = -15 - x**2 + 4*x - 4*x + 16. Let a(v) = -28*v**2 + 20*v + 8. Let b(r) = a(r) - 6*n(r). Factor b(t).
-2*(t - 1)*(11*t + 1)
Let i(d) be the second derivative of -4*d**2 - 1/210*d**5 + 0*d**3 + 8*d + 0 + 1/84*d**4. Let y(z) be the first derivative of i(z). Factor y(t).
-2*t*(t - 1)/7
Suppose 4*t + 0*t - 16 = 0. Suppose c - 2*b - b = -8, -3*c = -4*b + t. Factor 4*n**3 - n**4 - c*n**3 + n**2 + 0*n**2.
-n**2*(n - 1)*(n + 1)
Let n(i) be the third derivative of i**7/168 - i**6/36 + 13*i**3/3 + 25*i**2. Let w(c) be the first derivative of n(c). Let w(p) = 0. Calculate p.
0, 2
Let a(t) be the first derivative of 2 + 0*t**2 + 1/540*t**6 + 4*t**3 + 0*t**5 + 0*t - 1/9*t**4. Let c(g) be the third derivative of a(g). Factor c(b).
2*(b - 2)*(b + 2)/3
Let j(x) be the second derivative of -3*x**5/40 - x**4/8 - 273*x. Solve j(c) = 0.
-1, 0
Let a(j) be the second derivative of j**6/75 + j**5/10 - 7*j**4/15 - 29*j. What is z in a(z) = 0?
-7, 0, 2
Suppose 133*u - 211*u**2 + 215*u**2 + 3199 + 91*u - 63 = 0. What is u?
-28
Suppose 0 = 157*i - 48 - 264 - 2. Factor -512/15 + 64/15*d - 2/15*d**i.
-2*(d - 16)**2/15
Let q be (5 - (-180)/(-32))/((-11)/88). Determine g so that -1/2*g**4 + 1/2 - 1/4*g**q + 2*g**2 + 7/4*g + 1/2*g**3 = 0.
-1, 2
Let o(w) = -w**2 + 10*w - 9. Let a be o(8). Let f = a - 7. Factor 3*l**2 + 9*l**3 - 9*l**2 + l**4 + f*l**2 - 4*l**4.
-3*l**2*(l - 2)*(l - 1)
Let x be 6 + -5 + 7/(-7). Let k(n) be the first derivative of -1 - 1/12*n**4 - 4/3*n + 1/3*n**3 + x*n**2. Factor k(v).
-(v - 2)**2*(v + 1)/3
Let -1/5*p**5 - 12/5*p**3 + 0*p + 0*p**2 + 0 - 8/5*p**4 = 0. What is p?
-6, -2, 0
Factor 6 + 4*s + 1/6*s**2 - 1/6*s**3.
-(s - 6)*(s + 2)*(s + 3)/6
Let c be 7*(-11)/(-3465)*9. Let a(f) be the first derivative of 0*f + 2 + c*f**2 + 1/15*f**3. Factor a(w).
w*(w + 2)/5
Let z(m) be the first derivative of m**4/6 - 28*m**3/9 + 49*m**2/3 - 24*m - 631. Let z(d) = 0. What is d?
1, 4, 9
Let u(z) be the second derivative of -5*z**7/42 - 5*z**6/6 - 7*z**5/4 - 5*z**4/4 + z - 336. Factor u(x).
-5*x**2*(x + 1)**2*(x + 3)
Let k(s) = 2*s - 10. Let h be k(13). Factor 15*y + 35*y**3 - 3*y**3 - 15*y + h*y**2 + 12*y**4.
4*y