2 + 29. Let a(h) be the second derivative of u(h). Factor a(g).
-2*g**3*(g - 1)**2/11
Determine i, given that 36*i - 136*i**5 + 138*i**5 - 14*i**3 - 6*i**4 + 0*i**2 + 30*i**2 = 0.
-2, -1, 0, 3
Let y(l) = -2*l**3 - l**2 + l + 1. Let p(v) = 6*v**3 - 4*v**2 - 14*v - 8. Let x(a) = p(a) + 4*y(a). Factor x(o).
-2*(o + 1)**2*(o + 2)
Determine s so that -8/3*s + 1/3*s**2 - 3 = 0.
-1, 9
Let d be (-1 - -2)/((-2)/(-4)). Factor -d*x**3 - 5*x**4 - 6*x**3 + 8*x**2 + 5*x**5 - 3*x**2 + 3*x**3.
5*x**2*(x - 1)**2*(x + 1)
Let v(l) = 3*l**3 + 3*l**2 + 10*l + 6. Let x(i) = i**3 - i**2 + i + 1. Let f be (15/10)/((-3)/4). Suppose c - 5 = -4. Let s(t) = c*v(t) + f*x(t). Factor s(j).
(j + 1)*(j + 2)**2
Suppose 3 = -6*q + 27. Let t(z) be the second derivative of -3/4*z**q + z**3 - 1/2*z**2 + 0 + z. Factor t(r).
-(3*r - 1)**2
Let j(f) = 7*f**3 - 54*f**2 - 53*f - 8. Let z(s) = 3*s**3 - 18*s**2 - 18*s - 3. Let b(c) = 3*j(c) - 8*z(c). Suppose b(a) = 0. Calculate a.
-5, -1, 0
Let o(i) be the third derivative of 0 + 1/40*i**4 - 1/300*i**5 + 0*i - 1/15*i**3 - 4*i**2. Find w, given that o(w) = 0.
1, 2
Let x(d) = d**3 - 3*d**2 + 2*d + 6. Let t be x(3). Let c(h) = 10*h - t*h + 4*h + 6*h**2. Let y(u) = u**2 - u. Let n(g) = -c(g) + 2*y(g). Factor n(p).
-4*p*(p + 1)
Let b(a) be the second derivative of -a**5/4 + 55*a**4/12 - 20*a**3 + 197*a. Factor b(c).
-5*c*(c - 8)*(c - 3)
Let z(d) be the second derivative of d**5/20 + d**4/12 - 4*d**3/3 - 6*d**2 - 210*d. Factor z(a).
(a - 3)*(a + 2)**2
Suppose 0 = 4*r - 4*p - 37 + 29, 28 = 5*r + p. Find j, given that -81*j**3 - 6561/2*j + 9/2*j**4 + 729*j**2 + 59049/10 - 1/10*j**r = 0.
9
Suppose -4*w + 52*z - 47*z = -26, -4*z - 28 = -5*w. Suppose o = 4 + 4. Let -o - 1/2*a**2 + w*a = 0. Calculate a.
4
What is c in -3*c**5 - 153*c**3 - 182788 + 36*c**4 + 182788 - 180*c + 276*c**2 = 0?
0, 2, 3, 5
Let q(a) be the third derivative of a**6/720 - a**5/15 + 4*a**4/3 + 23*a**3/6 + 15*a**2. Let c(y) be the first derivative of q(y). Factor c(u).
(u - 8)**2/2
Let b(x) be the first derivative of x**4/6 - 106*x**3/9 - 109*x**2/3 - 110*x/3 + 236. Determine v so that b(v) = 0.
-1, 55
Let j be (-15)/((-1)/((-2)/(-6))). Let n(i) = -i**3 + 3*i**2 + 9*i + 5. Let c be n(j). Let -4/3*a**5 - 28/3*a**4 + c - 3*a - 14*a**2 - 61/3*a**3 = 0. What is a?
-3, -1/2, 0
Suppose 2*h + 2*o = 56, -4*h + 120 = -o - 2. Factor u**2 - 4*u**2 - h*u**3 - u**2 + 26*u**3.
-4*u**2*(u + 1)
Let j(k) be the first derivative of -2/3*k**3 - 15 + 0*k - 5/14*k**4 - 3/7*k**2 - 2/35*k**5. Factor j(f).
-2*f*(f + 1)**2*(f + 3)/7
Let n = -2/1611 - -1615/3222. Suppose n*d**4 + 0 + 0*d + 1/2*d**2 + d**3 = 0. Calculate d.
-1, 0
Let o = 169 + -165. Let f(s) be the first derivative of 0*s**2 + 1/21*s**6 + 1/7*s**o - 4 + 0*s**3 + 6/35*s**5 + 0*s. Solve f(g) = 0 for g.
-2, -1, 0
Let l(f) = -2*f**3 + 6*f**2 - 7*f - 1. Let t be l(3). Let j(y) = 5*y**2 - 4*y - 3. Let a(u) = 19*u**2 - 16*u - 13. Let q(h) = t*j(h) + 6*a(h). Factor q(k).
4*(k - 3)*(k + 1)
Let a(d) = -7*d - 10. Let u be a(-2). What is f in -4 + 3 + 13*f + 7*f**2 + 3 + u = 0?
-1, -6/7
Let n(p) = -2*p**2 - 64*p + 118. Let l(j) = -12*j**2 - 416*j + 768. Let c(u) = -5*l(u) + 32*n(u). Factor c(i).
-4*(i - 4)**2
Let n be (-4)/2*(-5 + 9)/3884. Let c = 3862/10681 - n. Find a, given that 0 + 0*a - 2/11*a**4 - c*a**3 - 2/11*a**2 = 0.
-1, 0
Suppose -20*s = -23*s + 267. Factor 163*u - 79*u - s*u + 5*u**3 + 15 - 15*u**2.
5*(u - 3)*(u - 1)*(u + 1)
Find h such that -3/7*h**2 - 15/7 + 18/7*h = 0.
1, 5
Solve -64/7*r**3 - 276/7*r**2 - 360/7*r + 0 - 4/7*r**4 = 0 for r.
-10, -3, 0
Let d(h) be the second derivative of -h**4/54 - 71*h**3/27 - 3*h + 18. Factor d(p).
-2*p*(p + 71)/9
Let j be (-156)/(-105) + 132/77. Find n, given that -j*n**3 - 2/5*n**5 + 0*n - 2*n**4 - 8/5*n**2 + 0 = 0.
-2, -1, 0
Factor -1 + 5/2*i + 1/2*i**3 - 2*i**2.
(i - 2)*(i - 1)**2/2
Factor -2/3*t**2 + 20 - 2/3*t.
-2*(t - 5)*(t + 6)/3
Let n be ((-16)/20)/(-2)*-2 - (-22)/11. Factor -n + 3/5*f**2 + 3/5*f.
3*(f - 1)*(f + 2)/5
Let f(t) = t**3 - t - 18. Let y be f(3). Suppose -2 + 2 = y*p. Factor -1/2*h**2 + 0*h + p + 1/8*h**3.
h**2*(h - 4)/8
Let j(i) = 4*i + 46. Let u be j(-11). Factor 47*g**3 - 44*g**3 + 3*g + 0*g - 6*g**u.
3*g*(g - 1)**2
Let j be 1 + 5 + 16/(-4). Suppose -5*y + 6 + 4 = 0. Factor 0*v + y*v - 6*v + j*v - v**2 - 1.
-(v + 1)**2
Factor -46 - 64 - 58 - 16*f**3 - 640*f**2 + f - 36 + 244.
-(f + 40)*(4*f - 1)*(4*f + 1)
Let s(c) = -8*c - 3*c - 4*c**2 + 2*c**2 - 1 + 4*c. Let o be s(-3). Solve 0*k**o - 2/3*k - 4/9 + 2/9*k**3 = 0.
-1, 2
Let o(l) be the third derivative of -l**6/600 - l**5/50 - l**4/10 - 2*l**3/3 + 22*l**2. Let b(c) be the first derivative of o(c). Let b(j) = 0. What is j?
-2
Suppose -76/5*h - 2/5*h**3 + 11*h**2 - 52/5 = 0. Calculate h.
-1/2, 2, 26
Let y(g) be the third derivative of -g**5/12 + 45*g**4/4 - 1215*g**3/2 + 2*g**2 - g. Factor y(r).
-5*(r - 27)**2
Determine r so that -3/4*r**4 - 3/2*r**3 + 3/2*r + 3/4 + 0*r**2 = 0.
-1, 1
Let t(o) = -7*o**2 - 109*o - 58. Let m be t(-15). Find l, given that -2/5*l**m - 8/5 + 8/5*l = 0.
2
Let s be (-3 - -4) + (-1)/(-1). Let b(u) = -u**2 + u - 1. Let n(r) = -7*r**2 + 7*r - 5. Let g(x) = s*n(x) - 10*b(x). Factor g(d).
-4*d*(d - 1)
Let h(j) be the second derivative of 15/2*j**2 - 5/12*j**4 + 0 - 5/3*j**3 - 13*j. Factor h(u).
-5*(u - 1)*(u + 3)
Let w(u) be the third derivative of -u**8/8 + 39*u**7/28 - 383*u**6/80 + 49*u**5/10 + 9*u**4/4 - 4*u**3 + 382*u**2. Find o such that w(o) = 0.
-2/7, 1/4, 1, 2, 4
Let v(i) = 3*i**2 + 4*i. Let y be v(-2). Let q = 1665 + -1665. Let 0*p**2 + q - p**3 - 1/2*p**y + 0*p = 0. Calculate p.
-2, 0
Let u(o) be the second derivative of 7*o**6/90 - 19*o**5/60 + 5*o**4/12 - o**3/18 - o**2/3 + 4*o + 2. Factor u(c).
(c - 1)**3*(7*c + 2)/3
Let n(m) be the second derivative of -m**4/12 + 3*m**3/2 - 125*m. What is a in n(a) = 0?
0, 9
Let k(b) be the first derivative of -b**3/7 - 15*b**2/7 - 36. Suppose k(a) = 0. What is a?
-10, 0
Let j(l) be the third derivative of -l**6/600 - 37*l**5/300 - 13*l**4/8 - 93*l**3/10 + 295*l**2. Determine a so that j(a) = 0.
-31, -3
What is f in -5*f**2 + 15*f + 27814 - 27814 = 0?
0, 3
Let u be (-4)/(8/(-37))*15554/(-33). Let s = u + 8837. Factor -108*q**4 - 64/3 - 18*q**5 - 736/3*q**2 - 240*q**3 - s*q.
-2*(q + 2)**2*(3*q + 2)**3/3
Let x(a) be the third derivative of a**8/336 + 8*a**7/15 + 541*a**6/20 + 308*a**5/3 + 3025*a**4/24 + 301*a**2. Factor x(i).
i*(i + 1)**2*(i + 55)**2
Let l be (74/(-8) - -8)/(1/12). Let m be (-36)/45 - 57/l. Let 0 - q - 5/2*q**m - 7/2*q**2 = 0. Calculate q.
-1, -2/5, 0
Let a(j) be the second derivative of 0 + 3*j - 3/2*j**2 + 1/110*j**5 - 1/66*j**4 + 0*j**3. Let w(v) be the first derivative of a(v). Find q such that w(q) = 0.
0, 2/3
Let v(j) = j**4 + j**3 - j**2. Let g(k) be the first derivative of 4*k**5/5 + k**4/2 - 4*k**3/3 + 1. Let y = -310 - -312. Let u(z) = y*v(z) - g(z). Factor u(r).
-2*r**2*(r - 1)*(r + 1)
Let f(h) be the third derivative of -h**5/30 - 13*h**4 - 2028*h**3 + h**2 + 41*h. Factor f(v).
-2*(v + 78)**2
Let u(z) be the second derivative of -1/2*z**2 - 13*z - 1/12*z**3 + 1/24*z**4 + 0. Factor u(x).
(x - 2)*(x + 1)/2
Let g(s) be the third derivative of s**5/15 - 2*s**4/3 - 64*s**3/3 - 413*s**2. Let g(a) = 0. What is a?
-4, 8
Let v(k) = 20*k**2 + 3*k - 2. Let o be v(2). Let d be (-8*(-6)/o)/(2/7). Find b such that 1/4*b**d + 0*b + 1/4*b**3 + 0 = 0.
-1, 0
Solve -2/3*p**4 - 40/3*p + 4*p**3 + 8 + 2*p**2 = 0 for p.
-2, 1, 6
Let z be ((-16)/10)/((-1)/5). Suppose 4*m - z = 4. Find h, given that 3*h**m + 5 + 3*h + 3*h**2 - 5 + 3*h**2 = 0.
-1, 0
Let -12052/3*l**2 + 424*l**3 - 4624/3 + 14416/3*l - 12*l**4 = 0. Calculate l.
2/3, 17
Let p be 4 + -3 + 1 + -1. Suppose -p = -7*g - 1. Let -2/11*b**2 + g*b + 0 - 6/11*b**3 = 0. What is b?
-1/3, 0
Let m(i) = -3*i**4 + 9*i**3 + 46*i**2 - 146*i + 94. Let o(r) = r**4 - 3*r**3 - 15*r**2 + 49*r - 32. Let u(s) = -2*m(s) - 7*o(s). Let u(y) = 0. What is y?
-4, 1, 3
Factor -5/3*l + 1/3*l**2 + 2.
(l - 3)*(l - 2)/3
Let j(g) = 51*g**3 - 18*g**2 - 387*g - 828. Let w(d) = 20*d**3 - 7*d**2 - 155*d - 331. Let o(u) = -7*j(u) + 18*w(u). Factor o(s).
3*(s - 6)*(s + 3)**2
Let 4/7*y**2 - 32/7*y - 48/7 + 4/7*y**3 = 0. Calculate y.
-2, 3
Factor -122/5*h - 4/5 - 118/5*h**2.
-2*(h + 1)*(59*h + 2)/5
Suppose w + n = -0*w + 22, -3*n = -3*w + 