h*(h - 1)**2/5
Let q(i) be the second derivative of -67*i**5/80 + i**4/48 - i + 92. Solve q(v) = 0 for v.
0, 1/67
Let b(v) be the second derivative of 1/12*v**4 - 1/60*v**6 + 0 - 1/4*v**2 + 0*v**5 + 0*v**3 - 23*v. Factor b(r).
-(r - 1)**2*(r + 1)**2/2
Let v(k) = -17*k**3 - 23*k**2 + 102*k - 6. Let m(r) = 30*r**3 + 45*r**2 - 205*r + 10. Let c(y) = 3*m(y) + 5*v(y). Factor c(g).
5*g*(g - 3)*(g + 7)
Suppose 5*d + 0 = -3*a - 6, -3*d - 4*a - 8 = 0. Let l = -94 + 98. Factor 5*o**l - 3*o**4 + d*o**3 + 3*o**2 + 6*o**3 + o**4.
3*o**2*(o + 1)**2
Suppose 21*d + 120 = 41*d. Let n(r) be the second derivative of 7/75*r**d + 0 + 9/50*r**5 - 2/5*r**2 - 3/5*r**3 - 2*r - 1/6*r**4. Let n(k) = 0. What is k?
-1, -2/7, 1
Let s be 1 + (-3)/10*22 + 6. Factor s*z + 0 + 2/5*z**4 - 2/5*z**2 - 2/5*z**3.
2*z*(z - 1)**2*(z + 1)/5
Let n(l) be the third derivative of l**5/60 + l**4/3 - 499*l**2. Factor n(o).
o*(o + 8)
Let a = -74 + 128. Find r, given that -90 - 12*r + 3*r**2 + 45 + a = 0.
1, 3
Let v(q) = -22*q**3 - 45*q**2 - 3*q. Let u(z) = 15*z**3 + 46*z**2 + 2*z. Let w(b) = 3*u(b) + 2*v(b). Factor w(n).
n**2*(n + 48)
Suppose 5*v - 15*v**2 + 834*v**3 - 15*v - 839*v**3 = 0. Calculate v.
-2, -1, 0
Let j be (64/(-10))/(16/(-5) + 3). Suppose 7 = 13*m - j. Suppose 3*p**4 - 3 + m*p**3 + 21/2*p - 12*p**2 - 3/2*p**5 = 0. What is p?
-2, 1
Let z(k) be the first derivative of 3*k**4/16 + k**3/4 - 45*k**2/4 + 284. Let z(q) = 0. What is q?
-6, 0, 5
Let b(v) = 2*v + 60. Let r be b(-15). Suppose -4*n - 22 + r = 0. Solve -4/11*t**n + 0 + 6/11*t**3 + 14/11*t**5 + 24/11*t**4 + 0*t = 0.
-1, 0, 2/7
Factor 64*t**2 - 4096/9 - 512/9*t + 4/9*t**4 - 88/9*t**3.
4*(t - 8)**3*(t + 2)/9
Let b(n) be the third derivative of n**6/720 + n**5/180 - 11*n**4/144 - n**3/3 - 15*n**2 - 2. Determine x so that b(x) = 0.
-4, -1, 3
Let r be 2/4 - 3/(-6) - -7. Solve -5 + 28*x**2 - r*x - 1 - 30*x**2 = 0 for x.
-3, -1
Let t be ((-468)/(-195))/((-4)/(-10)). Let m be (t + 770/(-125))*-5. Factor -1/5*r**3 - m*r + 0 - 4/5*r**2.
-r*(r + 2)**2/5
Let i = -3/7 - -19/28. Let v be (2 - 0 - 3) + (-18)/(-12). Find z, given that i + 1/4*z - v*z**2 = 0.
-1/2, 1
Let k be (-13)/(-6) - 5/30. Factor m**4 + k*m + 0*m**2 + 0*m**3 - m**2 - m**3 - m.
m*(m - 1)**2*(m + 1)
Let y = 1 - 1. Suppose x = -3*f + 9, -12*f = -11*f - 5*x - 19. Factor 3/5*a**f + 0*a**3 + 0*a - 3/5*a**2 + y.
3*a**2*(a - 1)*(a + 1)/5
Let r(w) be the second derivative of 0*w**2 + 0*w**5 - 1/189*w**7 + 0*w**4 + 0*w**3 - w + 0 - 1/135*w**6. Suppose r(x) = 0. Calculate x.
-1, 0
Factor -13*u + 37*u - 4*u**3 - 15*u - 9*u + 364*u**2.
-4*u**2*(u - 91)
Let q = 23212/99 + -2562/11. Factor -16/9*f**2 + 0 + 2/9*f + q*f**3.
2*f*(f - 1)*(7*f - 1)/9
Let l(a) be the third derivative of a**9/32760 + a**8/5460 - a**7/5460 + 5*a**4/24 + 25*a**2. Let k(d) be the second derivative of l(d). Factor k(v).
2*v**2*(v + 3)*(3*v - 1)/13
Factor -6*v**3 + 0 + 3/2*v**5 + 0*v**2 - 9/2*v**4 + 0*v.
3*v**3*(v - 4)*(v + 1)/2
Suppose -i - 1 = 3*d, -5*d - 10 = -3*i + 1. Determine j, given that 2/7*j**i + 0 + 4/7*j - 2/7*j**3 = 0.
-1, 0, 2
Suppose 63 = 8*v + 31. Let x(q) be the first derivative of 2 + 0*q - 1/2*q**2 - 1/6*q**3 + 1/10*q**5 + 1/4*q**v. Factor x(c).
c*(c - 1)*(c + 1)*(c + 2)/2
Let z be (150/(-10))/(-45)*(4 + 2). What is x in 0 + 4*x**z - 2/3*x**3 - 6*x = 0?
0, 3
Suppose 5*n + 3 = -7, 261 = 5*j - 3*n. Let a = 54 - j. Suppose 12/5*p**a - 8/5*p**4 + 2/5*p + 0 - 8/5*p**2 + 2/5*p**5 = 0. What is p?
0, 1
Let v be 20*(-1)/7*(-5592)/2330. Determine u, given that 4/7*u**3 - 16/7*u - 12/7*u**2 + v = 0.
-2, 2, 3
Suppose 0 + 16 = -2*y. Let q be (y/(-6))/((-32)/(-72)). Solve 4*w - w + 2*w**3 - 2*w**2 - 2*w + 2*w**4 - q*w = 0 for w.
-1, 0, 1
Let q(i) = 6*i**3 - 11*i**2 - 15*i + 4. Let o(h) = h**3 + h**2 - h. Suppose -31*m + 35*m = -4. Let f(w) = m*q(w) + 2*o(w). Solve f(t) = 0.
-1, 1/4, 4
Let f(g) = -13*g**2 - 156*g + 2032. Let b(t) = 30*t**2 + 312*t - 4065. Let h(o) = -4*b(o) - 9*f(o). Find m, given that h(m) = 0.
26
Let k(c) = 5*c + 53. Let n be k(-10). Let x(l) be the second derivative of 4/3*l**n + 0 - 1/3*l**4 + 0*l**2 - l - 1/5*l**5. Let x(s) = 0. Calculate s.
-2, 0, 1
Suppose h + 0*h + 2*p = 28, 3*p = -4*h + 107. Let l = -26 + h. Let l*j**3 + 2/9*j**4 - 2/9*j**2 + 0*j + 0 = 0. What is j?
-1, 0, 1
Let u(y) = -2*y**2. Let h(v) = -2*v**2. Let z = -9 - -14. Suppose -l = -z*t + 15, -l + 3*t - 11 = -t. Let q(w) = l*h(w) - 4*u(w). Factor q(p).
-2*p**2
Let v(c) = -c**3 - c**2 + 2*c + 4. Let h be v(-3). Suppose 2*m + h - 20 = 0. Find i such that -6/7*i**m + 6/7*i - 2/7 + 2/7*i**3 = 0.
1
Let f(j) be the third derivative of -j**8/448 + 3*j**7/140 - j**6/160 - 3*j**5/10 - j**4/2 + 16*j**2. Factor f(k).
-3*k*(k - 4)**2*(k + 1)**2/4
Let d be (-2)/((-1)/3 - 1)*-4. Let k be -7 - d - (1 - 38/15). Solve k + 10/3*f**2 + 8/3*f = 0.
-2/5
Let m be ((-60)/(-55))/(-6) + (-2)/(-11). Let y be (10 - 0)*(m - (-16)/140). Factor -8/7*d + 0 + 4/7*d**4 - y*d**2 + 6/7*d**3 - 2/7*d**5.
-2*d*(d - 2)**2*(d + 1)**2/7
Suppose 0 = -f - 2*f + 36. Suppose -f = -x - 1. Let k(h) = -h**2 + 7*h + 2. Let d(j) = 2*j**2 - 13*j - 4. Let w(s) = x*k(s) + 6*d(s). Factor w(b).
(b - 2)*(b + 1)
Let x(i) be the second derivative of 3*i**5/20 + 2*i**4 + 21*i**3/2 + 27*i**2 + 23*i. Suppose x(j) = 0. Calculate j.
-3, -2
Let d = -11 + 13. Solve -5*n**2 + 0 - 2 + 3*n**d - 4*n = 0.
-1
Let i be 1*((-240)/(-34) + -7). Let a(n) be the first derivative of 1/51*n**6 + 0*n**5 + 0*n**3 - 8 + 0*n + 1/17*n**2 - i*n**4. Factor a(f).
2*f*(f - 1)**2*(f + 1)**2/17
Let w(j) = 735*j**2 + 230*j - 770. Let b(p) = 67*p**2 + 21*p - 70. Let h(v) = 65*b(v) - 6*w(v). Factor h(u).
-5*(u - 1)*(11*u + 14)
Let d(s) be the third derivative of -s**8/3360 + s**7/210 - s**6/40 + 9*s**4/16 - 22*s**3/3 + 39*s**2. Let i(n) be the first derivative of d(n). Factor i(p).
-(p - 3)**3*(p + 1)/2
Suppose 0 = 3*v - 3*l - 42, 2*v + l - 15 = -2. Let -3*f**2 - 21 - 12*f**2 - 21*f - 27*f + v + 21*f**3 = 0. Calculate f.
-1, -2/7, 2
Let r(f) = 50*f**3 - 193*f**2 + 172*f - 56. Let n(j) = -49*j**3 + 194*j**2 - 170*j + 57. Let w(k) = -4*n(k) - 5*r(k). Factor w(s).
-(3*s - 2)**2*(6*s - 13)
Let n(q) be the second derivative of 1/5*q**3 + 0 - 1/50*q**5 - 2/5*q**2 + 0*q**4 - 2*q. Factor n(z).
-2*(z - 1)**2*(z + 2)/5
Let s = 44 - 42. Let l be s*1 + 22/(-11)*1. Suppose l*g + 3/2*g**2 + 0 = 0. Calculate g.
0
Suppose 210363*g - 210340*g = 0. Let 0 + g*i + 2/17*i**4 + 12/17*i**3 + 10/17*i**2 = 0. Calculate i.
-5, -1, 0
Let y(z) = -z**3 - 6*z**2 - 2*z + 12. Let k be y(-6). Find s, given that -69*s**2 + k*s**2 - s**3 - 35 + 6*s**3 + 75*s = 0.
1, 7
Let k(d) be the third derivative of 0 - 1/120*d**5 + 7*d**2 - 27/4*d**3 + 0*d - 3/8*d**4. Find x such that k(x) = 0.
-9
Factor 1 - 11*l**2 - 18 + 0*l**3 + l**3 + 1 + 26*l.
(l - 8)*(l - 2)*(l - 1)
Let j(u) be the second derivative of 8*u - 7/4*u**2 + 1/6*u**4 + 2 - 9/4*u**3. Factor j(h).
(h - 7)*(4*h + 1)/2
Let h(y) = -y**3 - 12*y**2 - 32*y + 21. Let t be h(-7). Let n(b) be the first derivative of -2*b**3 + 3/4*b**4 + 0*b**2 - 1 + t*b. Factor n(s).
3*s**2*(s - 2)
Let h be ((-341)/3069)/(4/(-54)). Factor -6 + 15/2*s - h*s**2.
-3*(s - 4)*(s - 1)/2
Suppose 25 = 6*m + 1. Factor -5*a**2 + a**m + 16*a**3 - 27*a**3 + a**2 - 4*a + 12*a**3.
a*(a - 2)*(a + 1)*(a + 2)
Let r(j) be the first derivative of 2*j + 2 + 7*j**2 + 9/2*j**4 + 10*j**3. Factor r(l).
2*(l + 1)*(3*l + 1)**2
Let l be (24/9 - 3) + 1. Let u(m) be the first derivative of -3 - 2/15*m**5 - 2/3*m**2 + l*m + 0*m**3 + 1/3*m**4. Factor u(i).
-2*(i - 1)**3*(i + 1)/3
Let m = 10702 + -21401/2. Factor m*c**2 + 6 + 6*c.
3*(c + 2)**2/2
Let -28*g**4 - 1821*g + 797*g - g**5 + 428*g**2 + 468*g**2 - 132*g**3 = 0. Calculate g.
-16, 0, 2
Let h be 7*36/105*(-10)/4. Let b(g) = -3*g**3 - 3*g**2 + 3*g - 3. Let y(m) = -8*m**3 - 9*m**2 + 8*m - 8. Let x(a) = h*y(a) + 17*b(a). Factor x(s).
-3*(s - 1)**2*(s + 1)
Let f(r) be the first derivative of -r**8/7560 + r**6/1620 - 3*r**3 + 3. Let x(h) be the third derivative of f(h). Suppose x(o) = 0. Calculate o.
-1, 0, 1
Let i = 103/146 + -77/730. Factor -3*h + i*h**3 + 0 + 12/5*h**2.
3*h*(h - 1)*(h + 5)/5
Let r(b) = -b**2 + 2*b - 1. Let a(x) = 10*x**2 - 12*x + 2. Let y(g) = -a(g) - 8*r(g). Determine j, given that y(j) = 0.
-3, 1
Let k(o) be the third derivative of o**5/18 + 5*o**4/24 - 5*o**3/9 + 99*o**2