). Factor r(w).
2*w*(w - 12)*(w - 1)*(4*w - 1)
Let x be ((-2 - -3) + -2)*-4. Suppose 0*i - 5*z + 328 = 2*i, -4*z - 712 = -x*i. Suppose -99*r**4 - 6*r**2 - i*r + 60*r**5 + 45*r**3 + 174*r = 0. Calculate r.
0, 1/4, 2/5, 1
Let l = 32 - 26. Suppose u = 3*i - 0*u - 6, -2*u = -4*i + l. Determine x so that 3/2*x**2 + 1/2*x + 0 - 3/2*x**4 - 1/2*x**i = 0.
-1, -1/3, 0, 1
Let o(j) = 17*j**5 - 13*j**4 - 3*j**3 + 6*j**2 - 7*j - 14. Let n(s) = -8*s**5 + 7*s**4 + 2*s**3 - 4*s**2 + 3*s + 6. Let p(f) = -7*n(f) - 3*o(f). Factor p(x).
5*x**2*(x - 2)*(x - 1)*(x + 1)
Factor 7/3*m - 2/3 - 2*m**2 + 2/3*m**4 - 1/3*m**3.
(m - 1)**2*(m + 2)*(2*m - 1)/3
Determine l, given that 10*l**3 - 10 + 4*l - 15*l - 10*l**4 + 20*l**2 - 5*l**5 + 6*l = 0.
-2, -1, 1
Factor -2*r**2 + 2 - r**2 + r**2.
-2*(r - 1)*(r + 1)
Let r(f) be the first derivative of 7*f**4/26 - 46*f**3/39 + 20*f**2/13 - 8*f/13 - 122. Factor r(p).
2*(p - 2)*(p - 1)*(7*p - 2)/13
Let r = 11 - 5. Let x be (-18)/14 - (-324)/(-1008)*-4. Find t such that 9/2*t**3 + 3/2*t + x + r*t**2 = 0.
-1, -1/3, 0
Let p(z) be the second derivative of z**5/8 + 45*z**4/4 + 325*z**3 + 1690*z**2 + z - 80. Find v, given that p(v) = 0.
-26, -2
Let y(g) be the third derivative of -1/1176*g**8 + 0*g + 0 + 10*g**2 + 0*g**3 + 0*g**4 + 1/420*g**6 - 1/105*g**5 + 2/735*g**7. What is t in y(t) = 0?
-1, 0, 1, 2
Let u(b) be the third derivative of -b**5/60 + 25*b**4/24 + 58*b**3/3 + b**2 - 9. Factor u(q).
-(q - 29)*(q + 4)
Let i(r) = -2*r**4 + 8*r**3 - 3*r**2 - 29*r + 32. Let t(g) = 8*g**4 - 32*g**3 + 13*g**2 + 115*g - 128. Let l(n) = -26*i(n) - 6*t(n). Find f such that l(f) = 0.
-2, 2
Let u = 122 - 120. Let m be ((-12)/15)/(u/(-5)). Solve -2/9*r**3 - 2/9*r**m + 0 + 4/9*r = 0.
-2, 0, 1
Let i(d) = d**3 + 2*d**2 + 6*d. Let u(f) = 8*f**3 + 14*f**2 + 44*f. Let o(k) = -44*i(k) + 6*u(k). Factor o(q).
4*q**2*(q - 1)
Let g(f) be the first derivative of 0*f**2 + 5/4*f**4 - 10/9*f**3 - 11 - 5/18*f**6 + 0*f**5 + 0*f. Factor g(x).
-5*x**2*(x - 1)**2*(x + 2)/3
Let g(c) = c**2 + 2*c + 2. Let k be g(0). What is p in -p - 48*p**2 + 2 - k*p**4 - 16*p**3 - 37*p - 26*p - 34 = 0?
-2
Let s be 16/(-66)*(-6)/8. Suppose -3*v = -5*v - 8*v. Let 4/11*y**2 + 0*y - s - 2/11*y**4 + v*y**3 = 0. Calculate y.
-1, 1
Let i = 44 - 42. Solve -p**5 + 5*p**3 + i*p**4 + 0*p**5 - p**3 - p**5 = 0 for p.
-1, 0, 2
Let k(a) = 2*a**2 + 1. Let n(m) = 11*m**2 - 7*m + 6. Let c(q) = 6*k(q) - n(q). Suppose c(u) = 0. What is u?
-7, 0
Let n(u) be the first derivative of u**7/4200 + 11*u**6/1800 + u**5/25 - 3*u**4/10 - 4*u**3 - 2. Let s(v) be the third derivative of n(v). Factor s(i).
(i - 1)*(i + 6)**2/5
Let r = 59 - 54. Let c(h) = h**3 - 5*h**2 + h - 2. Let b be c(r). Factor -4/7*j - 6/7*j**2 + 0 - 2/7*j**b.
-2*j*(j + 1)*(j + 2)/7
Let b(w) be the first derivative of -5*w**2/2 + 2*w + 68. Let j be b(0). Solve 0 + 7/5*z**3 - z**5 - 3/5*z**j + 3/5*z**4 - 2/5*z = 0 for z.
-1, -2/5, 0, 1
Let d(a) be the first derivative of a**4/22 - 2*a**3/33 - 6*a**2/11 - 40. Let d(w) = 0. Calculate w.
-2, 0, 3
Suppose -4*y + 2 + 10 = 0, -4*r - 5*y + 227 = 0. Let h = -51 + r. Factor -3/4*w**3 + 0*w**h + 3/4*w**4 + 0 + 0*w.
3*w**3*(w - 1)/4
Let f(x) be the third derivative of -x**8/2240 + 13*x**7/840 - x**6/5 + 9*x**5/10 + 35*x**4/24 + 6*x**2. Let w(m) be the second derivative of f(m). Factor w(u).
-3*(u - 6)**2*(u - 1)
Let w(i) be the second derivative of 0 - 1/6*i**3 - i**2 + 38*i + 1/12*i**4. Find k such that w(k) = 0.
-1, 2
Suppose 0 = a - 2*g - 0 + 1, 4*g = -3*a + 17. Suppose -2*u = 8, -m + 0*m - a*u - 8 = 0. Factor 0 + 0*y - 4/5*y**2 - 2/5*y**m + 6/5*y**3.
-2*y**2*(y - 2)*(y - 1)/5
Let k(m) be the second derivative of m**6/15 - 7*m**4/6 + 2*m**3 - 7*m + 6. Factor k(x).
2*x*(x - 2)*(x - 1)*(x + 3)
Let i be 2/8*14*-8. Let n = i + 32. Factor -3*o**n + 2*o**3 + 4*o**2 + 3*o**3 - 7*o**4 + o**3.
-2*o**2*(o - 1)*(5*o + 2)
Let g(m) = m**3 + 22*m**2 + 40*m + 6. Let r be g(-20). Let v(l) be the third derivative of 0 + r*l**2 + 0*l + 1/40*l**4 + 1/100*l**5 + 0*l**3. Factor v(k).
3*k*(k + 1)/5
Factor 10*x**4 + 486*x**2 - 729*x - 1/3*x**5 - 108*x**3 + 0.
-x*(x - 9)**3*(x - 3)/3
Determine f so that 9/4*f**5 + 69/4*f**3 - 12*f**2 + 3*f - 21/2*f**4 + 0 = 0.
0, 2/3, 1, 2
Let i = -32 - -35. Factor -2*n**4 + 24*n**i - 7*n - 162 + 129*n - 108*n**2 + 94*n.
-2*(n - 3)**4
Let y(m) be the third derivative of 8*m**7/105 - m**6/30 - 4*m**2 + 7*m. Find k such that y(k) = 0.
0, 1/4
Let c be 11/12 - 9/54. Determine w so that 3*w + 3 + c*w**2 = 0.
-2
Let m(f) be the third derivative of -f**9/4032 + f**8/1680 + f**7/1680 + 7*f**5/30 - 6*f**2 - 2. Let o(n) be the third derivative of m(n). Factor o(h).
-3*h*(h - 1)*(5*h + 1)
Let u = 2377/18 + -132. Let b(i) be the third derivative of -u*i**4 + 5*i**2 + 0 + 0*i**3 + 0*i + 1/90*i**5. Find h such that b(h) = 0.
0, 2
Let t be (16/(-10))/((-4)/10). Let -7*a**3 + 6*a**3 + 2*a**t - 3*a**3 = 0. Calculate a.
0, 2
Let f = 196 - 88. Suppose 33 = j - 4*d, -f = -5*j + 4*d - 3*d. Factor -36*z**3 - 4*z**2 + 7 - 7 - j*z**4 + 6*z - 5*z**2.
-3*z*(z + 1)**2*(7*z - 2)
Let j(y) = 12 + 9*y - 4*y + 5*y + 31. Let p be j(-4). Factor 0 - 2/7*o**4 - 2/7*o**2 - 4/7*o**p + 0*o.
-2*o**2*(o + 1)**2/7
Let m(u) = -110*u**3 + 140*u**2 + 665*u + 400. Let d(y) = y**4 + 55*y**3 - 69*y**2 - 332*y - 200. Let q(i) = -5*d(i) - 3*m(i). Find h, given that q(h) = 0.
-1, 5, 8
Let g(a) = a**2 - a + 2. Let t(s) = s**3 + 15*s**2 + 12*s + 18. Let m(q) = -10*g(q) + 2*t(q). Factor m(h).
2*(h + 1)**2*(h + 8)
Find t, given that 0*t + 70*t**2 - 1176*t**3 + 1421*t**3 + 5*t = 0.
-1/7, 0
Let t(r) be the third derivative of -3/40*r**6 - 5*r**2 - 1/4*r**4 + 11/40*r**5 + 5/3*r**3 + 0*r + 0. Let w(x) be the first derivative of t(x). Factor w(v).
-3*(v - 1)*(9*v - 2)
Suppose 1 = -5*j + 4*j. Let o be (j - 6/(-15)) + 22/20. Factor -o*b + 0 - 1/2*b**2.
-b*(b + 1)/2
Suppose 38*n**2 + 15*n**2 + 10*n**2 + 176*n**4 + 24*n**4 - 215*n**3 - 45*n**5 - 3*n**2 = 0. Calculate n.
0, 4/9, 1, 3
Let c be (174 + -173)*(0 + 2/1). Let 0 + 6/5*z**4 - 9/5*z**c + 6/5*z - 9/5*z**3 = 0. What is z?
-1, 0, 1/2, 2
Let n(u) be the second derivative of 1/8*u**2 + 1/48*u**4 + 1/12*u**3 + 7*u + 0. Factor n(f).
(f + 1)**2/4
Determine x, given that 192/7 - 704/7*x**2 + 10/7*x**5 + 534/7*x**3 - 136/7*x**4 + 104/7*x = 0.
-2/5, 1, 2, 3, 8
Let u(q) be the third derivative of -q**5/30 - q**4/12 - 61*q**2 - q. Factor u(g).
-2*g*(g + 1)
Suppose 0 = -2*h + 15 + 23. Factor 8 - 8 + h*u**2 - 21*u**2 + 2*u**3.
2*u**2*(u - 1)
Let -275 - 44*r**4 + 275 + 156*r**3 - 164*r**2 + 56*r - 4*r**5 = 0. What is r?
-14, 0, 1
Let a = 7469 - 7467. Let p = -3 - -3. Find q such that 1/2*q**3 - q + p + 3/2*q**4 - 3/2*q**a + 1/2*q**5 = 0.
-2, -1, 0, 1
Suppose f + 108 = 2*a - 21, -3*f = 9. Determine w, given that -4 + a*w**2 + 0*w + 4*w - 4*w**3 - 59*w**2 = 0.
-1, 1
Let x(f) = -70*f - 136. Let h be x(-2). Let v be ((-4)/30)/(1/(-25)). Let 16/3*d**h + 0*d**2 + 0*d - v*d**5 + 0 + 8/3*d**3 = 0. Calculate d.
-2/5, 0, 2
Suppose -13 = c - 2*q - 4, q - 14 = c. Let f = c + 19. Factor 3/4*k**2 - 3/2*k + 3/4*k**3 + f.
3*k*(k - 1)*(k + 2)/4
Let g be 17/65 - (-10)/75. Let l = g + 1/195. Find f such that -8/5 + l*f**2 + 0*f = 0.
-2, 2
Let v be -5 - (611/(-169) + -2). Determine i so that -18/13*i**3 + 84/13*i**2 + v - 50/13*i = 0.
1/3, 4
Let t(j) = 9*j**2 + 17*j - 6. Suppose 3*q + 7 = 22. Let b(k) = 11*k**2 + 18*k - 5. Let s(d) = q*b(d) - 6*t(d). Factor s(w).
(w - 11)*(w - 1)
Let a(t) be the third derivative of t**9/756 + t**8/140 + t**7/70 + t**6/90 + 4*t**3/3 + 9*t**2. Let b(i) be the first derivative of a(i). Factor b(j).
4*j**2*(j + 1)**3
Let j(p) = 2*p - 12. Let c be j(7). Let u be 10/(-5)*-1*c. Solve 2*t**5 + 4*t**3 + t**2 + 3*t**2 - 4*t**u - 6*t**5 = 0.
-1, 0, 1
Let z(g) = -145*g**2 - 115*g - 705. Let c(u) = 39*u**2 + 29*u + 176. Let h(p) = -15*c(p) - 4*z(p). Solve h(x) = 0.
-4, 9
Suppose 7*o**3 + 345*o - 1936 + 1239*o + 694 - 486 - 4*o**3 + 141*o**2 = 0. Calculate o.
-24, 1
Let -1/3*k**4 + 7/3*k**3 + 0 - 14/3*k**2 + 8/3*k = 0. Calculate k.
0, 1, 2, 4
Let x be 1 - (5 + -3) - -3. Let -5 + 3*b + 5 - b**3 - 4*b**2 + 2*b**x = 0. Calculate b.
-3, 0, 1
Let s(i) = i**2 - 5*i - 2. Let k be s(6). Find w, given that -64/3*w**2 - 32/3*w**3 - 4/3*w**k + 0 + 0*w = 0.
-4, 0
Let t(f) = 18*f**2 + 19*f + 3. Let k(s) = 27*s**2 + 28*s + 4. Suppos