 59)**2/9
Let r(h) be the second derivative of h**6/80 - 33*h**5/160 + 45*h**4/32 - 81*h**3/16 + 81*h**2/8 + 119*h. What is m in r(m) = 0?
2, 3
Suppose 5*o - 28 = -3*f, -2*f - 8 = -5*f + 5*o. Let j = -2 + f. Suppose -j*b**3 - 4*b**5 + 2*b + 2*b**5 + 4*b**5 = 0. Calculate b.
-1, 0, 1
Let h(m) = m**2 + 2*m - 3. Let a be h(-6). Let s = -12 + a. Determine x, given that 2 + s*x**2 + 1 - 10*x + 22*x = 0.
-1, -1/3
Suppose -39/2*f - 18 - 3/2*f**2 = 0. What is f?
-12, -1
Find n such that 10*n**5 - 14*n**4 + 40 - 53*n - 32 + 13*n - 26*n**3 + 62*n**2 = 0.
-2, 2/5, 1
Let p(c) be the second derivative of 5/6*c**3 + 47*c + 0*c**2 - 5/42*c**7 + 0 + 1/3*c**6 + 0*c**5 - 5/6*c**4. Factor p(o).
-5*o*(o - 1)**3*(o + 1)
Let q be (10/(-8))/(1/(-4)). Suppose -5*u + 18 = a, -q*a - 5*u + 9 + 21 = 0. Factor 2/11*b**a + 8/11 + 10/11*b**2 + 16/11*b.
2*(b + 1)*(b + 2)**2/11
Suppose 8*j - 238 = 434. Let c be 1 + (j/(-16))/7. Factor -1/4*m**2 + 1/2*m - c.
-(m - 1)**2/4
Determine a, given that -6500*a - 1572*a**3 - 529*a**4 - 1468*a**3 - 175*a**4 - 2500 - 64*a**5 - 6400*a**2 = 0.
-5/2, -1
Let g(d) be the second derivative of -d**5/270 + d**4/27 - 13*d**2/2 - 27*d. Let s(c) be the first derivative of g(c). Factor s(j).
-2*j*(j - 4)/9
Suppose -7*w + 11*w - 4*g + 4 = 0, g = 4. Let k(c) be the first derivative of 5 + 2/3*c**w + 0*c**2 - 2*c. Factor k(o).
2*(o - 1)*(o + 1)
Let n(o) be the second derivative of -o**5/25 - 248*o**4/5 - 123008*o**3/5 - 30505984*o**2/5 - 773*o. Factor n(q).
-4*(q + 248)**3/5
Let h(y) be the second derivative of 2*y**6/45 - 13*y**5/60 + 5*y**4/12 - 7*y**3/18 + y**2/6 - 4*y - 1. Factor h(x).
(x - 1)**3*(4*x - 1)/3
Let w(i) be the third derivative of -i**5/12 - 15*i**4/2 - 270*i**3 - 43*i**2 + i. Factor w(h).
-5*(h + 18)**2
Let a = -1293 - -1295. Factor 75/7*t + 15/7*t**a + 1/7*t**3 + 125/7.
(t + 5)**3/7
Let g(m) be the first derivative of 2 + 2*m**3 + 0*m**2 + 1/4*m**4 + 0*m. Factor g(c).
c**2*(c + 6)
Suppose -5*b = 4*f - 26 + 15, 0 = b + 2*f - 1. Let n(o) be the first derivative of -5/4*o**4 + b + 32/3*o**3 + 18*o - 57/2*o**2. Determine r so that n(r) = 0.
2/5, 3
Let n(j) = 3*j**2 - 14*j - 29. Let q(y) = y + 5. Let r be q(-1). Let w(t) = 7*t**2 - 29*t - 59. Let b(i) = r*w(i) - 9*n(i). Find o, given that b(o) = 0.
-5
Let l(q) be the second derivative of -q**6/21 - 13*q**5/70 + q**4/7 - 100*q. Let l(k) = 0. Calculate k.
-3, 0, 2/5
Let y be -9 - (-14 - (-5 + 10)). Let p(z) be the second derivative of 1/20*z**5 + 0*z**2 + 0 - 1/12*z**4 - y*z + 0*z**3. Determine g, given that p(g) = 0.
0, 1
Let x(q) be the second derivative of -3*q**5/160 + 5*q**4/32 + q**3/16 - 15*q**2/16 + 212*q. Suppose x(l) = 0. What is l?
-1, 1, 5
Factor -48*y**2 + 136 + 3201*y - 4*y**3 - 784 - 2805*y.
-4*(y - 3)**2*(y + 18)
Let l(g) = 12*g**3 + 3*g**2 + 2*g - 11. Let i(m) = m**3 - 1. Let r(a) = -44*i(a) + 4*l(a). Solve r(b) = 0.
-2, -1, 0
Let u = -41 - -761. Let d be (-416)/u - 8/(-10). Factor -2/9 + 4/9*x - d*x**2.
-2*(x - 1)**2/9
Factor 21446*i**4 - 49*i**2 + 9*i**2 + 32*i**3 - 17 + 53 - 32*i - 21442*i**4.
4*(i - 1)**2*(i + 1)*(i + 9)
Let d(j) be the third derivative of -5*j**8/336 - j**7/14 + 3*j**6/8 - 5*j**5/12 + 117*j**2. Determine i, given that d(i) = 0.
-5, 0, 1
Solve -d**2 - 100 - 2*d**2 - 18*d - 22*d + 8*d**2 = 0 for d.
-2, 10
Let f(x) be the third derivative of -x**7/105 + 7*x**6/30 - 13*x**5/30 - 98*x**2. Factor f(s).
-2*s**2*(s - 13)*(s - 1)
Let o(u) be the second derivative of -u**7/14 - 3*u**6/5 + 189*u**5/20 - 27*u**4 - 591*u. Factor o(a).
-3*a**2*(a - 3)**2*(a + 12)
Let n(w) be the first derivative of -1/2*w**4 + 16 + 4*w + 0*w**3 + 3*w**2. Suppose n(c) = 0. What is c?
-1, 2
Let t(q) = 19*q - 9*q - 6 - 4*q**2 + 6*q. Let c(r) = -1. Let y(a) = -6*c(a) - t(a). Factor y(g).
4*(g - 3)*(g - 1)
Let w be 35/(-15)*20/(-140). Suppose -n + w*n**2 + 2/3 = 0. Calculate n.
1, 2
Suppose -651 = -i - 91. Let q be (-4)/6 + i/390. Determine f so that 44/13*f**2 + 56/13*f + 16/13 + q*f**3 = 0.
-2, -2/5
Let z(w) be the first derivative of 0*w + 3/2*w**2 - 1/2*w**3 - 24. Factor z(i).
-3*i*(i - 2)/2
Let 32 + 11 - 2*f**2 - f + 3*f - 3 - 4*f = 0. Calculate f.
-5, 4
Determine h so that 5*h**2 + 145*h - 10 + 15*h**3 + 6*h**4 - 160*h - h**4 + 0*h**2 = 0.
-2, -1, 1
Determine h so that -7*h**5 - 34*h**2 + 8 - 18*h**3 - 6*h**3 + 11*h**3 + 20*h + 26*h**4 = 0.
-1, -2/7, 1, 2
Factor 71*h**2 - 16*h**3 - 45*h**2 + 10*h**2 - 54 + 2*h**4.
2*(h - 3)**3*(h + 1)
Suppose 5*h = -4*x - 40, 2*h + 3*x + 35 = -3*h. Let b(c) = -c**2 - 3*c + 7. Let s be b(h). Factor 0 - 2/9*u**4 - 2/9*u**s + 2/9*u + 2/9*u**2.
-2*u*(u - 1)*(u + 1)**2/9
Let r = 130 + -129. Let q(o) be the first derivative of 1/14*o**4 + 3/7*o**2 + 2/7*o + 2/7*o**3 - r. Solve q(k) = 0.
-1
Suppose 0 = -j + 7 - 6. Let g be 6/(2*j/(-4) - -2). Factor 2/3*f**3 + 1/3 - 2/3*f**2 - 1/3*f**5 - 1/3*f + 1/3*f**g.
-(f - 1)**3*(f + 1)**2/3
Suppose 14*w + 3*q + 22 = 16*w, 0 = 5*w + q - 4. Factor 0*t + 12/19*t**w + 0 - 14/19*t**4 - 2*t**3.
-2*t**2*(t + 3)*(7*t - 2)/19
Let s(f) = f**2 + 9*f + 3. Let t be s(-9). Let i be (-2 + 3)/(-4) + 42/8. Factor u - 3 - t*u**2 + u + i*u - u.
-3*(u - 1)**2
Let m(v) be the first derivative of v**4/30 - v**3/5 - 7*v + 5. Let b(x) be the first derivative of m(x). Factor b(w).
2*w*(w - 3)/5
Let d(y) be the second derivative of 0 + 1/24*y**4 + 1/2*y**2 + 1/120*y**5 - y + 0*y**3. Let h(t) be the first derivative of d(t). Find b such that h(b) = 0.
-2, 0
Suppose 6*k = 14*k - 352. Suppose -31*b = -k*b. Solve 1/4*t**2 + 1/4*t**4 + 1/2*t**3 + 0*t + b = 0.
-1, 0
Let m be 2/(-3) - ((-996)/(-18) - 4). Let q = -50 - m. Suppose 0 + 0*s + 2/11*s**3 - 2/11*s**q = 0. What is s?
0, 1
Solve 0*l + 2/7*l**4 + 0*l**3 + 2/7 - 4/7*l**2 = 0 for l.
-1, 1
Let c(o) = -o**3 + 95*o**2 + 198*o - 388. Let q be c(97). Factor 1/2*k**2 + 0*k - 1/2*k**3 + q.
-k**2*(k - 1)/2
Suppose -3*b + 126 = -117. Let l be b/45 - 0 - (-4)/(-10). Suppose -l*v + 3/5*v**2 + 2/5 = 0. Calculate v.
1/3, 2
Let h(j) be the first derivative of -j**6 + 9*j**5 - 117*j**4/4 + 40*j**3 - 18*j**2 - 277. Solve h(t) = 0.
0, 1/2, 2, 3
Find d, given that -35*d**5 - 78005*d - 407*d**3 + 77995*d + 40 - 48*d**3 - 235*d**4 - 305*d**2 = 0.
-4, -1, 2/7
Let i be 12771/540 + -24 - (-6)/10. Factor i*z - 1/4*z**2 + 3/2.
-(z - 3)*(z + 2)/4
Let s(i) be the first derivative of -i**3/6 - 19*i**2/4 - 9*i - 91. Factor s(t).
-(t + 1)*(t + 18)/2
Let z(u) be the second derivative of -13/48*u**4 - 5*u + 0*u**2 + 1/16*u**5 + 0 - 1/4*u**3. Suppose z(l) = 0. Calculate l.
-2/5, 0, 3
Suppose -190 - 16 = 2*b. Let h = b + 105. Factor 4/3*x**h + 0 - 2/3*x - 2/3*x**3.
-2*x*(x - 1)**2/3
Factor -x**4 - 5*x**5 - 3*x**5 + 16*x**4 + 4*x**5 - 36*x**3 + 3*x**5.
-x**3*(x - 12)*(x - 3)
Let h be 13/((-130)/15) - 23/(-10). Let y(u) be the second derivative of -6*u + h*u**3 - 2/15*u**4 - 9/5*u**2 + 0. Solve y(n) = 0 for n.
3/2
Let a(v) be the second derivative of -v**4/4 - 26*v**3 - 1014*v**2 + 4*v + 5. Factor a(u).
-3*(u + 26)**2
Let p(x) = -50*x + 2. Let n be p(0). Suppose 3 = i - 5*s - 25, 2*s = -4*i + 2. Factor 2*c**4 - 10*c**2 + 13*c**4 - 23*c**3 - n*c**i.
5*c**2*(c - 2)*(3*c + 1)
Let p = -13 + 16. Let 3*x**4 - 29*x**3 + 30*x**p - 2*x**4 = 0. Calculate x.
-1, 0
Let s(m) be the first derivative of -m**3 - 12*m**2 - 48*m - 407. Let s(b) = 0. Calculate b.
-4
Let l be ((-14)/4)/(-7)*5. Factor -5 - l*z**2 - 15/2*z.
-5*(z + 1)*(z + 2)/2
Suppose -9 + 45 = -2*o. Let h be o/(-81) - 50/(-18). Factor -6*x**2 + 173*x - 173*x + 3*x**4 - 3*x**h.
3*x**2*(x - 2)*(x + 1)
Suppose 0*v + 4 = 2*v. Suppose -3*i + 12 = -3*f, v*f = i + 2*i - 10. Factor -8*y**i - 12*y + 18 + 0*y + 10*y**2.
2*(y - 3)**2
Suppose 0 = -o - 4*t + 34, 0 = 4*o + 5*t - 26 - 55. Suppose -10*j + 16 = -o. Factor 1/5*h**2 - 1/5*h - 1/5 + 1/5*h**j.
(h - 1)*(h + 1)**2/5
Let r(n) be the third derivative of n**6/140 - n**5/140 - 3*n**4/56 - n**2 - 24*n. Find y, given that r(y) = 0.
-1, 0, 3/2
Suppose 12*q - 50 + 14 = 0. Let k(o) be the third derivative of 1/120*o**5 - 1/120*o**6 + 3*o**2 + 1/420*o**7 + 0*o**q + 0*o + 0*o**4 + 0. Solve k(a) = 0 for a.
0, 1
Let m(w) be the first derivative of 0*w - 3/5*w**5 - 9 + 9/4*w**4 - 1/2*w**6 + 5*w**3 + 3*w**2. Factor m(f).
-3*f*(f - 2)*(f + 1)**3
Suppose -10*u + 14*u = 0. Suppose -5*z + 2*z = 3*t - 3, -2*t - 4*z - 6 = u. Find b, given that 4/5*b**4 