4369/4 - 1092. Factor 13/4*x - 3/4 - 7/4*x**4 + 9/2*x**3 - 11/2*x**2 + f*x**5.
(x - 3)*(x - 1)**4/4
Let c be (6/(-4) - -3)/(9/5). Let k(w) be the second derivative of 0 - w**2 + 1/20*w**5 + c*w**3 - 1/3*w**4 - w. Factor k(a).
(a - 2)*(a - 1)**2
Let u(w) be the first derivative of -8*w**4 + 184*w**3/9 + 26*w**2/3 + 302. Factor u(l).
-4*l*(4*l + 1)*(6*l - 13)/3
Let u(j) = 4*j**4 - 5*j**3 - 3*j**2 + 5*j - 1. Let x(q) = -19*q**3 + 10*q**3 + 2*q**4 + 7*q**3 - 2*q**2 + 2*q. Let a(b) = 4*u(b) - 10*x(b). Factor a(s).
-4*(s - 1)**2*(s + 1)**2
Factor 0*r + 9/2*r**5 + 0 - 21/2*r**4 + 0*r**2 - 9*r**3.
3*r**3*(r - 3)*(3*r + 2)/2
Let z(y) be the second derivative of 3*y**5/100 + 23*y**4/20 + 91*y**3/10 - 1521*y**2/10 - 305*y + 1. Factor z(q).
3*(q - 3)*(q + 13)**2/5
Let g be 49/14 + (-1)/2. Let t(a) be the second derivative of -7/54*a**4 - 4*a + 2/27*a**g + 0 + 0*a**2. Determine m, given that t(m) = 0.
0, 2/7
Let w be ((-1)/2)/(4/10872). Let t be (-2)/(-17) + w/(-153). Determine s so that -9*s - 9 + 3*s + t*s**2 - 6*s**2 = 0.
-1, 3
Suppose -2*y + 25 = 3*y. Factor y + 5 + 4*r**2 - 18 - 40*r**2 + 44*r.
-4*(r - 1)*(9*r - 2)
Let o = 17721/4 + -4429. Factor o*b**2 - 1/2 - 3/4*b.
(b - 1)*(5*b + 2)/4
Suppose -5*t + j + 21 = 0, -3*t + 19 + 4 = 2*j. Let a be (0 - -1) + t + -4. Find s, given that 5*s**2 - 3*s**2 - 16*s**4 - 12*s**3 + 34*s**a - 8*s = 0.
-2, 0, 1/4, 1
Let h(r) be the third derivative of -r**7/84 + r**6/72 + r**5/12 - 5*r**4/24 - r**3 + 7*r**2. Let q(w) be the first derivative of h(w). Factor q(j).
-5*(j - 1)*(j + 1)*(2*j - 1)
Suppose -120 = 4*n - 136. Let y be 105/28 + 1 + (-1)/n. Factor -3/4 + 3*v - y*v**2 + 3*v**3 - 3/4*v**4.
-3*(v - 1)**4/4
Let m(b) be the first derivative of -b**4 + 4*b**3/9 + 256*b**2/3 + 112*b + 134. Find v, given that m(v) = 0.
-6, -2/3, 7
Let b(r) = r**2 - 3*r + 3. Let w(a) = -8*a**2 - 90*a - 213. Let j(v) = -5*b(v) - w(v). Solve j(q) = 0.
-33, -2
Let n(i) be the first derivative of 2*i**3/3 + 23*i**2/5 - 4*i + 903. Suppose n(o) = 0. What is o?
-5, 2/5
Let w(m) be the first derivative of -25*m**6/12 - 8*m**5 + 151*m**4/8 + 187*m**3/3 - 87*m**2 + 36*m - 165. What is y in w(y) = 0?
-3, 2/5, 2
Let f(j) = j**2 - j + 2. Let c be f(0). Let g(x) be the first derivative of -x**3 - c*x + 5*x - 27 + 34. Factor g(d).
-3*(d - 1)*(d + 1)
Let u be (-4)/20 + 588/15. Suppose y = 4*y - u. Solve -29*m + 75*m**2 - 27*m + 9*m + 12 - y*m = 0.
2/5
Let k(b) = 21*b**2 + 21*b - 29. Let a(g) = 5*g**2 + 5*g - 7. Let h be 0 + (24/(-4) - 0). Let o(j) = h*k(j) + 26*a(j). Let o(i) = 0. What is i?
-2, 1
Factor -56*s**2 + 3*s**5 - 16*s**4 - 34*s - 44*s**3 - 8 + 4*s**5 - 8*s**5 - s**5.
-2*(s + 1)**4*(s + 4)
Let p be 33 - ((4 - 2) + -4). Let o = -32 + p. What is d in -d**3 + 5*d**2 - d - 2*d**2 + d**4 + 4*d**3 - 6*d**o = 0?
0, 1
Let y(b) = -b**2 - b + 2. Let d(x) = -2*x**2 + 2634*x + 435612. Let k(h) = d(h) - 6*y(h). Let k(f) = 0. What is f?
-330
Let f(y) be the first derivative of y**3/5 + 42*y**2/5 + 180. Factor f(u).
3*u*(u + 28)/5
Let l(v) be the third derivative of -81/2*v**3 - 6*v**2 + 0 + 0*v - 9/4*v**4 - 1/20*v**5. Solve l(f) = 0 for f.
-9
Suppose -i - 40 = 3*i. Let m be ((-4)/i)/((-5)/(-50)). What is r in -5*r**5 + 4*r**3 + 13*r**5 - 2*r**2 + 8*r**4 + m*r**4 + 2*r**4 = 0?
-1, 0, 1/4
Let s(l) = l**3 - 6*l**2 + 7*l - 5. Let x be s(5). What is a in 64 - 62*a**3 - 6*a**x - 98*a**2 + 10*a**5 + 17*a**4 + 63*a + 17 - 5*a**5 = 0?
-1, 1, 9
Let i(s) be the second derivative of -s**6/90 - 7*s**5/30 - s**4 - 13*s**3/2 - 16*s. Let y(m) be the second derivative of i(m). Factor y(b).
-4*(b + 1)*(b + 6)
Let r(u) be the second derivative of 2*u**7/21 + 32*u**6/15 + 88*u**5/5 + 170*u**4/3 - 50*u**3/3 - 500*u**2 + 663*u. Solve r(a) = 0.
-5, -2, 1
Let s be 30/3 - (-2)/1. Factor -11*k**3 + 2*k**4 + 0*k**4 - k**4 + s*k**3.
k**3*(k + 1)
Let o(n) be the first derivative of n**4/2 + 20*n**3/3 + 175. Factor o(g).
2*g**2*(g + 10)
Let w(a) = -a + 9. Let u be w(7). Suppose -6 = -o - u*o. What is q in -3*q**3 + 5*q**5 - 3*q**5 + q**5 + 0*q**2 - 3*q**o + 3*q**4 = 0?
-1, 0, 1
Let i(k) be the second derivative of 1/12*k**3 - 1/48*k**4 + 0*k**2 + 14*k + 0 + 1/120*k**6 - 1/40*k**5. Factor i(g).
g*(g - 2)*(g - 1)*(g + 1)/4
Factor 35*b**2 - 10*b - 3*b**3 - 5*b**3 + 2*b**3 - 14*b**3 - 5.
-5*(b - 1)**2*(4*b + 1)
Factor 0*h + 0*h**3 - 1/2*h**4 + h**2 - 1/2.
-(h - 1)**2*(h + 1)**2/2
Let p(g) be the first derivative of g**6/3 - 4*g**5/5 - 2*g**4 + 4*g**3/3 + 3*g**2 + 10. Factor p(j).
2*j*(j - 3)*(j - 1)*(j + 1)**2
Let t be (-16)/40 - (-27)/5. Let o(k) be the first derivative of -2*k**2 + t + 0*k**2 + 78*k**3 - 76*k**3. Factor o(s).
2*s*(3*s - 2)
What is r in -3/2*r**4 + 1/2 + r**3 + r**2 + 1/2*r**5 - 3/2*r = 0?
-1, 1
Let b(x) = -2*x**3 + 623*x**2 + 944*x + 315. Let f(s) = 4*s**3 - 621*s**2 - 943*s - 315. Let u(k) = -3*b(k) - 4*f(k). Find o, given that u(o) = 0.
-1, -1/2, 63
Factor -118*n**2 + 13/2*n**3 + 1089/2*n - 81.
(n - 9)**2*(13*n - 2)/2
Let v(l) be the second derivative of -1/9*l**4 - 4*l + 8/9*l**3 + 0 - 8/3*l**2. Let v(f) = 0. Calculate f.
2
Let i be ((-60)/(-45) - 196/63)*1/(-4). Factor 0*f + 0 - 4/9*f**3 + 4/9*f**4 + i*f**5 - 4/9*f**2.
4*f**2*(f - 1)*(f + 1)**2/9
Factor 1/4*h**4 + 0 - 12*h**2 + 13*h + 9/4*h**3.
h*(h - 2)**2*(h + 13)/4
Let z(f) be the second derivative of f**6/10 - 21*f**5/2 + 1153*f**4/4 + 1260*f**3 + 1944*f**2 + 116*f. Determine s so that z(s) = 0.
-1, 36
Let x = 38 - 35. Factor 19*m**3 - 23*m**x - 4*m**4 + 0*m**4.
-4*m**3*(m + 1)
Find c, given that 96/5*c - 39/5*c**2 + 108/5 + 3/5*c**4 - 24/5*c**3 = 0.
-2, -1, 2, 9
Determine w, given that 0 - 24/7*w - 60/7*w**2 - 3*w**4 + 78/7*w**3 = 0.
-2/7, 0, 2
Suppose 15*y**2 - 28*y + 16 + 1/4*y**4 - 13/4*y**3 = 0. Calculate y.
1, 4
Suppose 0 = -g + 1 + 7. What is k in 11*k**3 + g - 4*k**3 - 8*k - k**3 - 10*k**2 = 0?
-1, 2/3, 2
Let b(o) be the third derivative of 5/336*o**8 + 5/8*o**6 + 3/4*o**5 + 0*o + 1/6*o**7 + 0 - 12*o**2 + 0*o**4 + 0*o**3. Let b(p) = 0. Calculate p.
-3, -1, 0
Let t(b) be the first derivative of 4/3*b**2 + 10/9*b**3 + 1/6*b**4 + 0*b - 2. Factor t(o).
2*o*(o + 1)*(o + 4)/3
Let g(q) be the second derivative of q**7/140 + q**6/36 - 11*q**5/60 + q**4/4 + 13*q**3/2 + 41*q. Let m(x) be the second derivative of g(x). Factor m(f).
2*(f - 1)*(f + 3)*(3*f - 1)
Let i(k) be the second derivative of -k**4/14 + 32*k**3/21 - 20*k**2/7 - 295*k. Factor i(z).
-2*(z - 10)*(3*z - 2)/7
Let f(y) = -3*y**2 + 203*y - 14. Let g(j) = -j**2 + 41*j - 3. Let o(s) = -3*f(s) + 14*g(s). Factor o(t).
-5*t*(t + 7)
Let d(z) be the first derivative of -z**6/24 + z**5/12 - 11*z**2/2 + 12. Let t(m) be the second derivative of d(m). What is r in t(r) = 0?
0, 1
Let q = 69/5 + -13. Solve 0*u + q*u**2 + 0 + 49/5*u**4 - 28/5*u**3 = 0 for u.
0, 2/7
Let t be -4 + 2 + (-1)/(-1). Let s(k) = 31*k**2 + 2*k + 1. Let d be s(t). Factor -18*b**3 + d*b**2 + 0*b - 3*b - 5*b - 6*b**2.
-2*b*(3*b - 2)**2
Let v be (-460)/(-644) - 3/21*-9. What is t in 8*t + 28/3 - 4/3*t**v = 0?
-1, 7
Let v = 381/940 + -1/188. Let t(f) be the first derivative of 1/12*f**6 - f - 5/4*f**2 + 4 + 1/2*f**4 + v*f**5 - 1/3*f**3. What is l in t(l) = 0?
-2, -1, 1
Let b(q) = -q**3 - 6*q**2 + 8. Let i be b(-6). Factor -12 + 8*r**2 - 12*r**2 + i*r + 8*r**2.
4*(r - 1)*(r + 3)
Factor z**4 - 6*z**3 - 4*z**4 - 168 - 187 + 3*z**5 + 355.
3*z**3*(z - 2)*(z + 1)
Let t be ((-1)/((-10)/(-6)))/((-1638)/260 - -6). Factor -3/10*k**4 - 1/10*k**t + 1/2*k**3 + 0 - 1/10*k.
-k*(k - 1)**2*(3*k + 1)/10
Solve 0 - 1/4*u**2 - 3/2*u = 0.
-6, 0
Let i(f) be the first derivative of -f**3 + 3*f**2/2 - 389. Determine z so that i(z) = 0.
0, 1
Let r = 8 + -6. Let t = 216 + -210. Factor -2*b**2 - b**r - b**2 + t*b + 2*b**2 - 4.
-2*(b - 2)*(b - 1)
Let j = -1/8856 + -4319/8856. Let u = 1/82 - j. Suppose -1/2*w**5 + 0 - w**4 + u*w + 0*w**3 + w**2 = 0. Calculate w.
-1, 0, 1
Factor 5/4*l + 1/4*l**3 + l**2 + 1/2.
(l + 1)**2*(l + 2)/4
Let q(l) be the third derivative of 13/24*l**4 + 0*l + 1/3*l**3 - 1/4*l**5 + 0 + 12*l**2. Factor q(h).
-(h - 1)*(15*h + 2)
Let f(u) be the first derivative of -5*u**4/4 - 80*u**3/3 - 75*u**2/2 - 232. Let f(w) = 0. Calculate w.
-15, -1, 0
Let k(p) = 23*p + 20*p - 6*p + 3*p**4 + 29*p**2. Let b(f) = 2*f**4 + 28*f**2 + 36*f. Let z(w) = 5*b(w) - 4*k(w). Find v such that z(v) = 0.
-2, 0, 4
Let d(p) be th