5*j**2 + 0*j + 4/5*j**3 + o*j**4. Factor l(c).
4*c*(c + 1)**3/5
Let w = -114 + 344/3. Suppose 0*k**2 + 0 - 2/3*k + w*k**3 = 0. What is k?
-1, 0, 1
Let m(o) = o**2 - 31*o + 35. Let l be m(26). Let i = l - -383/4. Determine z, given that -9/4*z + 3*z**3 - i*z**5 + 3/2 + 0*z**4 - 3/2*z**2 = 0.
-2, -1, 1
Suppose 2*j + x - 3 = 0, -8*x + 3 = -4*j - 7*x. Find m such that 5/3*m + 5/3*m**4 + j + 5*m**2 + 5*m**3 = 0.
-1, 0
Let w(h) = 7*h - 88. Let z be w(13). Suppose z*a = -3*b + 27, -3*b = b - 5*a + 9. Factor -3/2 + 4/3*g**2 + 1/6*g**b + g**3 - g.
(g - 1)*(g + 1)*(g + 3)**2/6
Let f = 94 - 90. Suppose j = 4*m + 8, 4*j + m = 3*m + f. Let 0*y + 3/4*y**2 + j = 0. What is y?
0
Let v = 7 + -2. Factor 704*y + 256 + 64*y**3 + 228*y**3 - 2*y**5 + 56*y**4 + 6*y**v + 688*y**2.
4*(y + 1)**2*(y + 4)**3
Suppose 2*x + 18 = 62. Suppose 0 = -4*q - 6 + x. Determine d so that -q*d**5 + 2*d**5 - 4*d**4 + 2*d**4 = 0.
-1, 0
Suppose v + 4*v = 100. Suppose 25*c**5 + 51*c + 627*c**3 - 25*c**2 - 752*c**3 + 49*c + 5*c**4 + v = 0. Calculate c.
-2, -1, -1/5, 1, 2
Let w(j) be the second derivative of -9*j**5/100 - 38*j**4/5 - 395*j**3/2 - 375*j**2 - 7*j - 6. Factor w(y).
-3*(y + 25)**2*(3*y + 2)/5
Suppose -z - 5*c = -35, 3*z = 4*z + 2*c - 14. Find x, given that z + 1/3*x**4 + 0*x - x**2 + 2/3*x**3 = 0.
-3, 0, 1
Let t(b) be the third derivative of -b**5/60 + 31*b**4/24 + b**2 - 63*b. Factor t(m).
-m*(m - 31)
Let w = 14 + -12. Let n = 18 - w. Solve -3*h**2 + 10*h**2 - n*h - 3*h**2 + 16 = 0 for h.
2
Suppose 16*w + 175 = 9*w. Let f be -2 - -4 - 60/w. Factor 24/5*q - 9/5 - f*q**2 + 8/5*q**3 - 1/5*q**4.
-(q - 3)**2*(q - 1)**2/5
Let p be 865/30 + (-2)/(-12). Factor 4*o - 15 - 2*o**2 + p - 2*o**3 - 14.
-2*o*(o - 1)*(o + 2)
Let m(q) be the second derivative of -q**6/720 - q**5/30 - q**4/3 + q**3/6 - 6*q. Let r(x) be the second derivative of m(x). Let r(p) = 0. Calculate p.
-4
Let h(z) be the second derivative of -z**7/28 - z**6/4 - 21*z**5/40 + z**4/8 + 2*z**3 + 3*z**2 - 2*z - 18. Let h(c) = 0. What is c?
-2, -1, 1
Let i be (-2)/((624/(-585))/((-6)/(-15))). Determine o so that -1/2 - i*o - 1/4*o**2 = 0.
-2, -1
Let n = 1796 - 1796. Let k(o) be the first derivative of n*o + 1/4*o**3 - 4 - 3/8*o**2. Let k(b) = 0. Calculate b.
0, 1
Let t(k) be the third derivative of k**5/270 + 91*k**4/54 + 8281*k**3/27 - 331*k**2 + k. Find c, given that t(c) = 0.
-91
Let i(r) be the third derivative of -r**8/80640 - r**7/5040 + r**5/15 + 18*r**2. Let d(n) be the third derivative of i(n). Let d(c) = 0. Calculate c.
-4, 0
Let w = -50 - -181/2. Let c = -40 + w. Factor -1/4*s**3 - c*s**2 + 0 - 1/4*s.
-s*(s + 1)**2/4
Let 3/2*h**4 - 3/2*h**5 + 3/2*h**3 - 3/2*h**2 + 0 + 0*h = 0. What is h?
-1, 0, 1
Let m = 29591/7 + -4227. Solve -1/7*o + 0 + m*o**2 - 1/7*o**3 = 0 for o.
0, 1
Factor 28/11*k**3 + 280/11*k - 138/11*k**2 - 200/11 - 2/11*k**4.
-2*(k - 5)**2*(k - 2)**2/11
Suppose 24 + 6*p**3 + 18*p - p**4 - 5*p**2 - 44*p + 2*p**2 = 0. Calculate p.
-2, 1, 3, 4
Let j(d) = -13*d**2 - 330*d + 288. Let l(r) = -20*r**2 - 496*r + 428. Let s(o) = 8*j(o) - 5*l(o). Factor s(p).
-4*(p - 1)*(p + 41)
Suppose -27*l**3 + 1700*l**2 + 9*l**3 - 816*l**2 - 16 - 10*l**4 + 72*l - 840*l**2 = 0. What is l?
-2, 1/5, 2
Let p = 32 + -30. Factor 5*w**p + 3*w + 13 - 10*w - 8*w - 33.
5*(w - 4)*(w + 1)
Let l(x) = -x**2 - x + 1. Let n(d) = 20*d**2 - 10*d + 10. Let s(b) = 15*l(b) + n(b). Let j(g) = -g + 1. Let t(p) = 5*j(p) - s(p). Find v, given that t(v) = 0.
2
Let b(r) be the first derivative of 3*r**5/25 + 21*r**4/20 + 16*r**3/5 + 18*r**2/5 - 48. Determine d so that b(d) = 0.
-3, -2, 0
Let u(i) be the third derivative of i**6/120 + i**5/15 - 11*i**4/24 + i**3 - 174*i**2 + 3*i. Let u(f) = 0. Calculate f.
-6, 1
Let f(t) = -t**4 + 4*t**3 - 2*t - 2. Let x(b) = b**4 + 14*b**3 - 11*b**2 - 6*b - 12. Let z(m) = -6*f(m) + x(m). Find i, given that z(i) = 0.
-1, 0, 3/7, 2
Let l(r) be the first derivative of 0*r + 1/35*r**5 + 3/28*r**4 - 2/7*r**2 + 19 + 0*r**3. Factor l(f).
f*(f - 1)*(f + 2)**2/7
Factor -194*h**5 + 6*h**4 - 16*h**3 + 14*h**4 + 190*h**5.
-4*h**3*(h - 4)*(h - 1)
Let h(z) be the third derivative of -3/32*z**6 + 0*z**3 + 1/64*z**8 - 13/140*z**7 + 0 + 13/40*z**5 + 16*z**2 + 1/4*z**4 + 0*z. Find i, given that h(i) = 0.
-1, -2/7, 0, 1, 4
Suppose -l + 4*l - 20 = 2*i, 3*i + 8 = -l. Let z be 3/(-1) - (8/i + -1). Determine n so that 42*n**2 - 4*n + z + 343/2*n**4 - 147*n**3 = 0.
0, 2/7
Let c(y) be the third derivative of y**5/40 + 3*y**4/4 + 8*y**3 - 120*y**2. Find u, given that c(u) = 0.
-8, -4
Let k = 475936/6587 + 30/941. Let t = k + -72. Factor -4/7*a + t*a**2 - 2/7*a**4 + 4/7*a**3 + 0.
-2*a*(a - 2)*(a - 1)*(a + 1)/7
Let m(z) = z - 3. Let i(a) = -5*a**2 - 115*a + 225. Let h(d) = i(d) - 25*m(d). Suppose h(l) = 0. Calculate l.
-30, 2
Suppose 50*o - 3 = 6*o - 3. Determine z so that -1/8*z**3 + o*z + 0 - 1/8*z**2 = 0.
-1, 0
Let z(k) be the third derivative of -121*k**9/60480 + 11*k**8/5040 - k**7/1260 - 5*k**5/12 - 30*k**2. Let h(t) be the third derivative of z(t). Factor h(s).
-s*(11*s - 2)**2
Suppose -g - 3*v = 0, -4*g - 2*v - 13 - 17 = 0. Let o be 1 - (g + 3)/2. Let l**2 + l**2 - o*l**2 + 0*l**2 + 2 = 0. Calculate l.
-1, 1
Let o(x) be the third derivative of x**8/2240 - x**7/420 - 35*x**4/24 - 28*x**2. Let n(t) be the second derivative of o(t). Factor n(i).
3*i**2*(i - 2)
Let m be 276/84 - ((-48)/(-21) + -2). Let z be (m + 1)*(-1)/(-18). Find w, given that 0 - z*w**3 + 2/9*w**2 + 0*w = 0.
0, 1
Let b(y) be the third derivative of -y**7/35 + 7*y**6/60 - y**4/3 - 266*y**2. Factor b(i).
-2*i*(i - 2)*(i - 1)*(3*i + 2)
Factor -44*g + 117*g**2 - 219*g**2 + 106*g**2.
4*g*(g - 11)
Let k be (1 - 0)/(5 - 6)*0. Factor -1/2*b**2 - 5/2*b + k.
-b*(b + 5)/2
Let s be 2/(-11) - 7*(-20)/44. Solve 15*g**3 - 6*g**s + 16*g**2 - 10*g**2 + 3*g**4 = 0 for g.
-2, -1, 0
Let k(h) be the third derivative of h**5/120 - 7*h**4/48 - 3*h**3/2 - 9*h**2 - 4. Factor k(g).
(g - 9)*(g + 2)/2
Let w(o) be the first derivative of o**4/96 + o**3/24 + o**2/16 - 21*o + 25. Let c(h) be the first derivative of w(h). Let c(s) = 0. What is s?
-1
Let q(y) be the first derivative of -4/3*y**3 - 3 + 2*y**2 + 0*y. What is a in q(a) = 0?
0, 1
Factor 0 + 2/3*p**3 - 10/3*p - 8/3*p**2.
2*p*(p - 5)*(p + 1)/3
Let y(c) = 54*c - 18*c - 144 + 43*c - 9*c**2. Let b(v) = 3*v**2 - 16*v - 10*v + 34 + 14. Let o(f) = 7*b(f) + 2*y(f). Factor o(r).
3*(r - 4)**2
Suppose 4*w = p - 65 - 105, -2*p + 331 = -5*w. Let k = p - 156. Factor 2*l**4 + 0 + 14/13*l**k - 2/13*l - 8/13*l**5 - 30/13*l**3.
-2*l*(l - 1)**3*(4*l - 1)/13
Suppose 2*j + 24 + 2 = 5*n, 0 = 3*j + 2*n - 18. Find r, given that -2/5 - 4/5*r - 2/5*r**j = 0.
-1
Let d(w) = -2*w - 1. Let j(f) = 3 + 17*f + 3*f - 2 - f**2 + 6. Let r(a) = 14*d(a) + 2*j(a). Let r(o) = 0. Calculate o.
0, 6
Let a(p) = p**2 - 1. Let n(f) = f**2 + 32*f - 77. Let j(s) = 3*a(s) + n(s). What is i in j(i) = 0?
-10, 2
Suppose -8*g - 983 = -4*d - 7*g, -2*g + 239 = d. Let w = -1705/7 + d. Determine f so that 2*f**3 + 0 - 6/7*f**4 + 6/7*f**2 - 4/7*f - w*f**5 = 0.
-1, 0, 2/5, 1
Suppose -11*d = -7*d - 60. What is k in -d*k + 24*k**2 - 12*k - 27*k**2 = 0?
-9, 0
Let y be (-4)/(-5*((-80)/(-200) + (-1)/15)). Factor 3/5*o**2 - 3 + y*o.
3*(o - 1)*(o + 5)/5
Let h(i) = i**2 - 4*i + 2. Let l be h(4). Suppose 0 = -w - l*w + 15. Determine r so that -w*r**3 - 4*r**4 + 4 + r**3 - 5*r - 9*r + 16*r**2 + 2*r**5 = 0.
-2, 1
Factor 0 + 36/5*t - 4/5*t**2.
-4*t*(t - 9)/5
Suppose -2*s = -3*s + 2. Suppose -2*d = 4*n - 20, 3*n - 10 = s*d - d. Let 0*u**2 + 8*u + 2*u**2 + 2*u**2 + u**3 + 4 + u**d = 0. What is u?
-2, -1
Let q be (-3194)/(-4320)*3 - 6/(-15). Let u = -17/16 + q. Suppose 0*i - 2*i**3 - 4/9*i**2 - u*i**4 + 0 = 0. What is i?
-1, -2/7, 0
Suppose 5*r + 16 = r. Let b(i) = -i**2 + i + 1. Let n(v) = 2*v**2 - 9*v + 15. Let h(c) = r*b(c) - 4*n(c). Factor h(o).
-4*(o - 4)**2
Let h be -1*(-2349)/630 - 12*8/320. Factor -26/7*t**3 - 2/7*t**5 + 0 - 12/7*t**4 - h*t**2 - 8/7*t.
-2*t*(t + 1)**2*(t + 2)**2/7
Let y be 8 + (5/5 - 7). Factor -4/3*p**y - 1/3*p**3 + 2/3*p**5 + 7/6*p**4 - 1/3*p + 1/6.
(p - 1)*(p + 1)**3*(4*p - 1)/6
Let r(d) = d**2 + 5*d + 10. Let w be r(-6). Factor -96*j - 8*j**3 + 28*j**3 + 24*j**3 + w - 60*j**2 + 8*j**3.
4*(j - 2)*(j + 1)*(13*j - 2)
Let g(p) = p**2 - 7*p - 9. Let q(j) = -j**2 + 6*j + 10. Let m(n) = 2*g