2*h/5 + 92. Factor l(i).
-(i - 13)**2*(i - 2)**3/5
Let b(a) be the second derivative of a**6/360 + 7*a**5/120 + 4*a**3/3 - 2*a. Let x(q) be the second derivative of b(q). Factor x(u).
u*(u + 7)
Factor -15*j**2 - 23 - 169 + 145*j - 148.
-5*(j - 4)*(3*j - 17)
Let p be (0 - 0) + (-17424)/110. Let n = p - -159. Factor 3/5*s**2 + 0*s - n.
3*(s - 1)*(s + 1)/5
Let a(d) be the first derivative of -5/3*d**3 - 1/4*d**4 + 3 - 4*d - 4*d**2. Factor a(j).
-(j + 1)*(j + 2)**2
Let v(f) = 2*f**2 + 9*f + 4. Let i be v(-9). Solve 40*c + i + 19 - 4 + 4*c**2 = 0.
-5
Suppose 5*o - 4*o - 2 = 0. Factor -48*v - 12*v**2 - 23 + 6*v**2 + 7 + 34*v**o.
4*(v - 2)*(7*v + 2)
Suppose 2*f + 11 = g, 9*g - 3*f - 6 = 11*g. Factor 1 + 0*o**2 - 21*o + 0*o**2 + 20*o + o**g - o**2.
(o - 1)**2*(o + 1)
Let n(h) be the third derivative of -1/12*h**5 + 0*h**3 + 0*h + 3/80*h**6 + 0 + 1/48*h**4 - 17*h**2. Factor n(f).
f*(f - 1)*(9*f - 1)/2
Determine k, given that 4*k**2 + 24 + 4*k**2 + 9*k**3 - 2*k**2 - 36*k - 106*k**4 + 103*k**4 = 0.
-2, 1, 2
Let x(c) be the second derivative of -c**6/3 - 2*c**5/5 + 11*c**4/6 - 2*c**3/3 + 134*c. Factor x(w).
-2*w*(w - 1)*(w + 2)*(5*w - 1)
Let l be (0 - 11) + 0/5. Let v(k) = -k**3 - 11*k**2 + k + 15. Let t be v(l). Let -1/2*s**2 + 3/2*s - 3/2*s**3 - 1/2*s**t + 1 = 0. Calculate s.
-2, -1, 1
Let h be (-30)/2*(0 + -1). Let d = h + -11. Find u, given that 8*u**3 - 1 + 17*u - 1 - 12*u**2 - 2*u**d - 9*u = 0.
1
Let w(r) = -11*r - 5 + 12*r**2 - 8*r**3 - 28*r**2 + 25*r**3 + 5*r**2. Let k(s) = -9*s**3 + 5*s**2 + 5*s + 3. Let v(u) = -10*k(u) - 6*w(u). Solve v(g) = 0.
-2/3, 0, 2
Suppose -4*s = 4*t - 300, 187 = 5*s - 3*t - 172. Suppose -s*y + 77*y - 8 = 0. Let 8/3*f**4 + 0 + 8/3*f**y - 4*f**3 - 2/3*f - 2/3*f**5 = 0. Calculate f.
0, 1
Let b(i) be the third derivative of -1/12*i**5 + 0*i**3 + 0*i**4 + 0 + 0*i + 10*i**2 + 1/24*i**6. What is m in b(m) = 0?
0, 1
Suppose -47*g = -43*g. Let m(u) be the first derivative of g*u**3 + 11 + 0*u**2 + 0*u + 1/22*u**4. Solve m(y) = 0 for y.
0
Suppose -3*f - 300 = 5*g, -g - 45 = 4*f + 15. Let n = g + 548/9. Let 16/9*q + 10/9*q**2 + 2/9*q**3 + n = 0. Calculate q.
-2, -1
What is g in 35*g**2 + 16/3 + 4/3*g**4 + 88/3*g + 37/3*g**3 = 0?
-4, -1, -1/4
Suppose -3 = -k - 0. Factor 12*b + 15*b**4 - 24 + 51*b**k + 18*b**3 + 0*b**3 + 90*b**2.
3*(b + 1)*(b + 2)**2*(5*b - 2)
Let s(n) be the second derivative of 1/4*n**2 + 1/8*n**3 - 1/48*n**4 - 28*n - 1/120*n**6 - 3/80*n**5 + 0. Factor s(u).
-(u - 1)*(u + 1)**2*(u + 2)/4
Let p(l) be the second derivative of -l**4/24 + 11*l**3/12 - 5*l**2/2 + 52*l. Let p(x) = 0. What is x?
1, 10
Let t(c) be the second derivative of c**5/40 - c**4/4 - 39*c. What is z in t(z) = 0?
0, 6
Let k(z) be the second derivative of z**6/120 + 7*z**5/20 + 49*z**4/8 + 343*z**3/6 + 2401*z**2/8 + 4*z - 1. Factor k(n).
(n + 7)**4/4
Determine b, given that -18*b**2 + 104*b - 118 + 18 + 14*b**2 = 0.
1, 25
Suppose -124*z + 126*z - 3*f = 2, 0 = -3*z - f + 14. Solve 1/2*d**2 - 1/2*d**z + 1/4*d**5 - 1/4*d + 0 + 0*d**3 = 0.
-1, 0, 1
Suppose 144 = 22*o - 24*o. Let c = 72 + o. Factor 1/2*v**3 + c*v**2 - v**4 + 1/2*v**5 + 0*v + 0.
v**3*(v - 1)**2/2
Suppose 35/4 + 45/4*u**2 - 75/4*u - 5/4*u**3 = 0. Calculate u.
1, 7
Factor -7/3*f**2 + 1/3*f**3 + 0 + 4*f.
f*(f - 4)*(f - 3)/3
Let u(m) be the second derivative of m**6/18 + 14*m**5/15 - 2*m**4 - 7*m**3/3 - 16*m. Let h(y) be the second derivative of u(y). Solve h(r) = 0 for r.
-6, 2/5
Let q = 14025 - 14025. Let -1/3*w + q + w**2 + 4/3*w**3 = 0. What is w?
-1, 0, 1/4
Let v be ((-5)/(-1))/10*(7 + -7)/2. Determine d, given that v + 2/3*d**3 + 2/3*d**2 + 0*d = 0.
-1, 0
Let d(a) be the third derivative of a**8/112 + a**7/35 - 7*a**6/40 + a**5/5 + 242*a**2. Factor d(s).
3*s**2*(s - 1)**2*(s + 4)
Let u(c) = -14*c**2 - 85*c - 4. Let j be u(-6). Determine y so that 2/5*y**4 + 0*y + 0 + 2/5*y**3 - 4/5*y**j = 0.
-2, 0, 1
Let w(d) = d - 1. Let g(n) = -28*n**2 - 128*n + 108. Let v(k) = g(k) + 8*w(k). Suppose v(y) = 0. Calculate y.
-5, 5/7
Let o(h) = -h**3 + 68*h**2 - 481*h + 12. Let x be o(8). Suppose 3/5*q**3 + 1/5*q**5 - 1/5*q**2 - 3/5*q**x + 0 + 0*q = 0. What is q?
0, 1
Suppose -2/5*j + 0 - 1/5*j**2 = 0. What is j?
-2, 0
Suppose 3 = p + 4*h, 0*p - 3*h - 24 = -3*p. Suppose 2*m + 16 = 5*c, -p*c = -3*c - 16. Let 18/7*d + 3/7*d**m + 27/7 = 0. What is d?
-3
Let f = -47 + 49. Suppose -4*h + 2 = -6. Suppose 109 - 109 + h*c + 2*c**2 - 4*c**f = 0. Calculate c.
0, 1
Suppose 1 - 9*z**2 + 9 + 12 - 16 + 3*z = 0. Calculate z.
-2/3, 1
Let z be ((-8)/10)/(6/(-225)). Suppose -2*i = -5*w + z, -6*w + w - i + 15 = 0. Determine x so that -x**3 - 1/2*x**w + x + 1/2 + 0*x**2 = 0.
-1, 1
Let g(k) be the first derivative of k**5 + 75*k**4/4 + 105*k**3 + 245*k**2/2 + 225. Suppose g(z) = 0. Calculate z.
-7, -1, 0
Let f(l) be the third derivative of -l**7/420 + l**5/5 - 4*l**4/3 - 29*l**3/6 - 38*l**2. Let z(o) be the first derivative of f(o). Suppose z(m) = 0. What is m?
-4, 2
Let s = 8 + -3. Let i be (2/8)/(s/8). Factor -i*l**2 + 0*l + 2/5.
-2*(l - 1)*(l + 1)/5
Let u be -3 + (-7 - 378/(-35)). Find v, given that -u*v + 0 - 2/5*v**2 = 0.
-2, 0
Let k(l) = 5*l**3 + l**2 + 2*l - 2. Let h(u) = -4*u**3 - u + 1. Let b(f) = 3*h(f) + 2*k(f). Let d be b(-1). Factor 2/7*t**3 + 0*t**d + 4/7 - 6/7*t.
2*(t - 1)**2*(t + 2)/7
Let b(w) be the third derivative of -w**5/360 + w**4/144 + 7*w**3/6 - 43*w**2. Factor b(u).
-(u - 7)*(u + 6)/6
Let y(l) = -l**3 + 148*l**2 - 143*l - 585. Let b be y(147). Find q, given that 0 - 2/15*q**b - 8/15*q - 2/3*q**2 = 0.
-4, -1, 0
Let g be 72/(-40) - (-1 - 6/3). Let u(f) be the second derivative of -g*f**5 + 2/3*f**3 - 2/5*f**2 - 24/25*f**6 + 0 + 23/60*f**4 - 7*f. Factor u(x).
-(3*x + 2)**2*(4*x - 1)**2/5
Let g = 70 + -40. Suppose -3*x = 3*s - g, 5*s - x = 1 + 43. Find d such that -5*d**5 - s*d**3 + 0*d**4 + 2*d**5 + 9*d**4 + 3*d**2 = 0.
0, 1
Let u(a) = -128*a**3 - 56*a**2 + 12*a + 20. Let c(x) = -3*x**3 + x**2 + x + 1. Let d(o) = -20*c(o) + u(o). Find b such that d(b) = 0.
-1, -2/17, 0
Factor 37/2*a**3 + 20*a**2 + 2*a + 9/2*a**4 + 0.
a*(a + 2)**2*(9*a + 1)/2
Let a(b) be the second derivative of b**7/42 + 11*b**6/15 + 19*b**5/2 + 200*b**4/3 + 1625*b**3/6 + 625*b**2 + 16*b - 2. Suppose a(s) = 0. Calculate s.
-5, -2
Find t, given that -20*t - 4*t**5 - 9*t**3 + 33*t**3 - 16*t**4 + 44143*t**2 - 44127*t**2 = 0.
-5, -1, 0, 1
Find d, given that -90 - 268*d**2 + 15*d**3 - 200*d + 58 - 79*d**3 + 36*d**4 = 0.
-1, -2/9, 4
Let b(m) be the second derivative of -m**4/12 + 7*m**3/6 - 3*m**2 + m + 3. Factor b(k).
-(k - 6)*(k - 1)
Suppose 0 - 25 = -5*d. Let u(s) be the third derivative of 1/1848*s**8 + 2/1155*s**7 + 1/660*s**6 + 0*s + 0*s**3 + 0*s**d + 0*s**4 + 2*s**2 + 0. Factor u(w).
2*w**3*(w + 1)**2/11
Find h such that 11094/7 - 516/7*h + 516/7*h**3 - 1584*h**2 - 6/7*h**4 = 0.
-1, 1, 43
Let a = -78/7 + 80/7. Let n = 605 + -605. Solve 0 - a*z**2 - 6/7*z**3 - 2/7*z**5 + n*z - 6/7*z**4 = 0 for z.
-1, 0
Let n(f) be the first derivative of f**4/4 - f**3 + 20*f + 27. Let g(d) be the first derivative of n(d). Factor g(h).
3*h*(h - 2)
Let d be 22/(-77) - 44/(-7). Factor -14*m**2 - 25*m - 16*m**2 + d*m**2 - 32 - 4*m**3 - 23*m.
-4*(m + 2)**3
Let m be (2 + 8/(-3))/((-80)/30). Suppose -5*u + 4*n - 1 = 0, 3*u + 0*u + 3*n = 21. Let m*b**u + 0*b**2 - 1/2 - 3/4*b = 0. What is b?
-1, 2
Let y(h) = 24*h**2 - 3*h - 2. Let d be y(-1). Suppose 2*p - 5*b - d = 0, b = -0*p + 3*p - 5. Factor 2/3*n**3 - 2/3*n**2 + p + 2/3*n**4 - 2/3*n.
2*n*(n - 1)*(n + 1)**2/3
Let m be 29/7 - (-9)/(-63). Let n(d) be the first derivative of -5 + 0*d**m + 0*d**2 + 0*d - 2/5*d**5 + 2/3*d**3. Factor n(s).
-2*s**2*(s - 1)*(s + 1)
Let h = -28 + 32. Let o be (-22)/(-11) + (-6)/h. Factor -o*l**4 - 1/2*l**3 + 1/2*l**5 + 1/2*l**2 + 0*l + 0.
l**2*(l - 1)**2*(l + 1)/2
Let n be (-50)/350*(-12)/(-15)*-15. Factor -9/7*d**2 - 3/7*d**3 + 0*d + n.
-3*(d - 1)*(d + 2)**2/7
Let r be (1329/886)/((-22)/(-16) - 1). Factor -8/3*o**r - 1/3*o**2 + 0*o - 7/6*o**5 + 0 - 11/6*o**3.
-o**2*(o + 1)**2*(7*o + 2)/6
Factor 10*x + 0*x + 345*x**3 + 12*x**2 - 343*x**3 - 24.
2*(x - 1)*(x + 3)*(x + 4)
Let w = 14 + -11. Suppose o - 1 = -w, 42 = 4*j + o. Factor 3*y + y**2 - 6*y - 3*y**2 + j*y - 8.
-2*(y - 2)**2
Let j(t) be the second derivative of 43*t**7/147 - 173*t**6/105 + 131*t**5/35 - 89*t**4/21 + 47*t**3/21 -