l**8/5040 - l**7/210 + l**6/36 - 37*l**5/60 - 3*l**2. Let k(x) be the third derivative of m(x). Factor k(y).
4*(y - 5)*(y - 1)
Let a(v) be the second derivative of v**5/4 - 215*v**4/12 + 1955*v**3/6 + 7935*v**2/2 + 412*v. Let a(l) = 0. Calculate l.
-3, 23
Suppose 0 = -17*p + 13*p + 12. Factor 8*s + 3*s**3 - 7*s**p + 11*s + 12*s**2 - 3*s.
-4*s*(s - 4)*(s + 1)
Let u = -1472841/77 + 19127. Let b = -2/385 - u. Determine m so that 6/5*m + 6/5*m**4 + b - 18/5*m**2 + 2/5*m**3 = 0.
-2, -1/3, 1
Let f(v) be the first derivative of v**6/6 - 3*v**5/5 - v**4/4 + 11*v**3/3 - 6*v**2 + 4*v + 138. Factor f(i).
(i - 2)*(i - 1)**3*(i + 2)
Let s(r) be the first derivative of -3/20*r**4 + 3/5*r**3 - 9/25*r**5 + 10 - 3/10*r**2 + 1/5*r**6 + 0*r. Determine j, given that s(j) = 0.
-1, 0, 1/2, 1
Let m be ((-6)/(-1))/((-6)/4). Let d be (14/m + 1)*-4. Let -d - y**3 + 10 - 2*y**2 = 0. What is y?
-2, 0
Let n(d) = -12*d**4 + 6*d**3 - 10*d**2 - 6*d - 8. Let x(l) = 35*l**2 + l**3 - 17*l**2 - l**4 - 19*l**2 - l - 1. Let h(o) = -n(o) + 10*x(o). Factor h(c).
2*(c - 1)*(c + 1)**3
Let d be (-52)/(-44) + 9/(495/(-10)). Let z be d - -1 - (-13 - -12). Determine j, given that 0*j**z + 5*j**2 + 0*j - 5/2*j**4 - 5/2 = 0.
-1, 1
Let t(s) be the first derivative of -1/240*s**6 + s**2 + 0*s - 1/48*s**4 + 0*s**3 + 1/60*s**5 + 4. Let n(d) be the second derivative of t(d). Factor n(g).
-g*(g - 1)**2/2
Let h(g) = -g + 2. Let r be h(0). Suppose o**3 - o**r + 2*o**2 + o**5 + 4*o**3 - o**4 - 6*o**3 = 0. Calculate o.
-1, 0, 1
Let u = 30 - 37. Let n be (11 + u)/((-18)/(-4)). Factor -n + 2/9*f**3 - 10/9*f**2 + 16/9*f.
2*(f - 2)**2*(f - 1)/9
What is f in 129/4*f**2 - 363 + 3/4*f**3 + 330*f = 0?
-22, 1
Let p(a) be the second derivative of 3*a**7/35 + 26*a**6/25 + 193*a**5/50 + 52*a**4/15 + 16*a**3/15 - 264*a. Factor p(y).
2*y*(y + 4)**2*(3*y + 1)**2/5
Solve -780*c + 2560 - 170*c**4 - 2390*c**2 + 2677*c**3 + 5*c**5 - 820*c - 1082*c**3 = 0 for c.
-1, 1, 2, 16
Let b(h) = h**2 + 15*h + 45. Let l be b(-6). Let z(m) = -m**2 - 13*m - 33. Let f be z(l). Factor 3/4*d**2 + 0 - f*d.
3*d*(d - 4)/4
Let k(j) be the first derivative of -j**6/90 - 2*j**5/15 + 5*j**4/6 - 11*j**3/3 + 11. Let r(c) be the third derivative of k(c). Let r(p) = 0. What is p?
-5, 1
Let d(h) be the third derivative of 0*h**3 - 5/12*h**5 + 0*h - 5/4*h**4 - 19*h**2 + 1/42*h**7 + 0 + 1/12*h**6. Find z, given that d(z) = 0.
-3, -1, 0, 2
Let s(w) be the first derivative of 3*w**4 + 52*w**3/3 - 22*w**2 - 20*w - 271. Factor s(g).
4*(g - 1)*(g + 5)*(3*g + 1)
Determine r, given that 39*r - 5*r - 678*r**3 + 676*r**3 - 2*r**2 + 4*r**2 + 30 = 0.
-3, -1, 5
Let s = -378 - -383. Let r(y) be the third derivative of 0*y**3 + 0 + 1/360*y**6 + 4*y**2 - 1/72*y**4 + 0*y - 1/630*y**7 + 1/180*y**s. Factor r(j).
-j*(j - 1)**2*(j + 1)/3
Let l = -28 + 32. Factor -55 + 16*k + l*k**3 + 16*k**2 + 55.
4*k*(k + 2)**2
Let a(l) be the third derivative of -2*l**7/735 - l**6/15 + 41*l**2 - l. Determine c, given that a(c) = 0.
-14, 0
Let k = -4199/3 - -1401. Factor -2/3*b**4 + k*b**2 + 0 - 2/3*b**3 + 0*b.
-2*b**2*(b - 1)*(b + 2)/3
Let t be 1*11/((-11)/(-2)). Let q(n) be the third derivative of 1/200*n**6 + 0*n - 1/50*n**5 + 0*n**3 - t*n**2 + 0*n**4 + 0. Let q(o) = 0. What is o?
0, 2
Suppose 2*l**2 - 13 + 49 - 146*l - 22 - 14 = 0. Calculate l.
0, 73
Let g(f) be the first derivative of -2*f**6/15 + f**5/5 + 2*f**4/3 - f + 4. Let s(h) be the first derivative of g(h). Suppose s(n) = 0. What is n?
-1, 0, 2
Let w = -1/2643 + -325084/13215. Let o = w - -25. Solve 0 + o*r + 2/5*r**2 = 0 for r.
-1, 0
Let o(w) be the first derivative of w**4/36 - 32*w**3/27 - 35*w**2/18 + 22*w/3 - 95. Factor o(h).
(h - 33)*(h - 1)*(h + 2)/9
Let f(b) be the third derivative of b**5/12 + 5*b**4/8 - 5*b**3/2 - 11*b**2. Let y(u) = -1. Let j(l) = -f(l) - 5*y(l). Solve j(c) = 0.
-4, 1
Let h(d) be the third derivative of 0*d + 0 + 1/6*d**3 - 1/336*d**8 + 1/210*d**7 + 1/60*d**6 - 1/30*d**5 - 1/24*d**4 + 9*d**2. Factor h(z).
-(z - 1)**3*(z + 1)**2
Let k be 77/(-205) + (-1 - 14/(-10)). Let b = k - -157/287. Factor b - 8/7*q**2 + 6/7*q**3 - 10/7*q.
2*(q - 2)*(q + 1)*(3*q - 1)/7
Let v(b) be the first derivative of -b**5/25 + 2*b**4/5 - 346. Suppose v(c) = 0. What is c?
0, 8
Suppose 5*f - 55 = -d - 0*d, f = 2*d + 11. Suppose 0 = 3*c + f - 17. Let -2/3*x**3 + 2/3*x - 2/9*x**4 - 2/9*x**c + 4/9 = 0. Calculate x.
-2, -1, 1
Suppose 19*n - 76*n - 39*n + 76*n**2 - 576 - 38*n**2 - 42*n**2 = 0. Calculate n.
-12
Let w(n) be the first derivative of 3*n**5/5 - n**4/4 - 8*n**3 + 6*n**2 + 26*n - 37. Let z(d) be the first derivative of w(d). Find x, given that z(x) = 0.
-2, 1/4, 2
Let m(n) be the third derivative of -n**6/72 - n**5/8 + 5*n**4/6 - n**3/3 - 24*n**2. Let d(x) be the first derivative of m(x). Let d(l) = 0. What is l?
-4, 1
Let p(w) be the second derivative of -w**7/399 + 2*w**6/285 + 7*w**5/190 - 10*w**4/57 + 4*w**3/19 - 80*w. Let p(y) = 0. What is y?
-3, 0, 1, 2
Let h(m) be the first derivative of 26/3*m**2 - 22 - 49/12*m**4 - 8/3*m - 70/9*m**3. Factor h(f).
-(f + 2)*(7*f - 2)**2/3
Let t(d) = 4*d - 76. Let c be t(14). Let b be c/(-300)*(5 + 0 + -2). Factor 0 - 1/5*l**2 - b*l.
-l*(l + 1)/5
Let 8/11 + 4/11*y**2 - 2/11*y**3 + 14/11*y = 0. What is y?
-1, 4
Let p(s) = -9*s**2 + 24*s - 1. Let k(y) = 2*y - 1. Let b(o) = -14*k(o) - 2*p(o). Suppose b(t) = 0. Calculate t.
2/9, 4
Factor 260/17 + 258/17*u - 2/17*u**2.
-2*(u - 130)*(u + 1)/17
Let q be 1179/18 + -13 + 12/(-8) + 1. Solve -116/3*i + 12*i**3 - 20/3 - q*i**2 = 0.
-1/3, 5
Let -23*j - j - 6*j**4 - j**3 + 8 + 5*j**2 + 17*j**2 + 2*j**5 - j**3 = 0. What is j?
-2, 1, 2
Let h be 0/(-42) - 0/(-2). Determine f so that 2/13*f**3 + 0 - 4/13*f**2 + h*f - 2/13*f**5 + 4/13*f**4 = 0.
-1, 0, 1, 2
Let o(u) = u**2 + u - 11. Let w be o(4). Let c(l) = -2*l**3 + 17*l**2 + 9*l. Let f be c(w). Suppose -2/11*s**3 + f - 2/11*s**2 + 0*s = 0. What is s?
-1, 0
Let g = 11193/830 + 6/415. Factor 21/2*c**3 + 3*c + 0 + g*c**2.
3*c*(c + 1)*(7*c + 2)/2
Let p(h) be the third derivative of h**7/840 + h**6/240 + h**5/240 + 193*h**2. Factor p(a).
a**2*(a + 1)**2/4
Let r(v) = -5*v**4 + 21*v**3 - 18*v**2 + 4. Let f(q) = 9*q**4 - 39*q**3 + 35*q**2 - 7. Let b(c) = 4*f(c) + 7*r(c). Factor b(x).
x**2*(x - 7)*(x - 2)
Let b(q) = -6*q**3 - 12*q**2 + 14*q + 4. Suppose 6*a - 20 = a. Let j(s) = 5*s**3 + 11*s**2 - 13*s - 3. Let n(p) = a*j(p) + 3*b(p). Determine f so that n(f) = 0.
-5, 0, 1
Let a(b) be the second derivative of 5/6*b**4 + 3*b + 0 + 1/4*b**5 + 5/6*b**3 + 0*b**2. Factor a(f).
5*f*(f + 1)**2
Let i(s) be the third derivative of s**6/1260 - s**5/105 + 14*s**3/3 + 5*s**2 - 4. Let l(v) be the first derivative of i(v). Factor l(a).
2*a*(a - 4)/7
Let h(t) be the first derivative of -8*t**3/9 - 23*t**2 - 34*t/3 - 4. Factor h(a).
-2*(a + 17)*(4*a + 1)/3
Let r(h) = 4*h**2 + 24*h + 8. Let o(a) = -3*a**2 - 16*a - 5. Let f(g) = -g**2 - 3*g + 2. Let v be f(-5). Let i(y) = v*o(y) - 5*r(y). Solve i(j) = 0 for j.
-2, 0
Let j be ((-12)/(-3))/(2/5*5). Factor -160 + 20*u**j + 35*u**4 + 323 - 163 + 80*u**3.
5*u**2*(u + 2)*(7*u + 2)
Suppose f = -4*b + 102, 0 = -0*f + 3*f - 6. Factor -22*t**5 - b*t**5 + 2*t**3 + 46*t**5 - t**4.
-t**3*(t - 1)*(t + 2)
Suppose 2*s - 5*l = -4*l + 11, 0 = 4*s + 5*l + 13. Let a(r) = 2*r**2 - 2*r - 5. Let x be a(4). Solve s*z**2 + x + 9*z - 19 = 0 for z.
-3, 0
Let j be (4/2 - 2)/2. Suppose j = 3*m - 10 - 2. Factor 8*z**2 - 4*z**3 + 2 - 6 - m*z + 4.
-4*z*(z - 1)**2
Let s(m) = -m**3 + 31*m**2 + 26*m + 6. Let a(y) = -5*y**3 + 125*y**2 + 105*y + 25. Let f(o) = 6*a(o) - 25*s(o). Solve f(n) = 0.
-4, -1, 0
Determine k so that -3/4*k**2 - 27/2 - 27/4*k = 0.
-6, -3
Let o = 5 + -2. Suppose 0*x + o*x = 0, x = -k + 2. Factor -3/4*t**4 + 0*t**k + 3/2*t - 3/2*t**3 + 3/4.
-3*(t - 1)*(t + 1)**3/4
Let b(a) = a**2 + 22*a + 45. Let x be b(-20). Find w, given that 2*w**4 + 2 + 19*w + 5*w**4 + 2 + 30*w**3 + 43*w**2 + x*w = 0.
-2, -1, -2/7
Let s(o) be the second derivative of -o**5/7 - o**4/3 - 4*o**3/21 - 21*o - 1. Factor s(l).
-4*l*(l + 1)*(5*l + 2)/7
Factor 1 - 3 + 0*p**2 + 6*p**2 + 4*p**3 + 0*p**2.
2*(p + 1)**2*(2*p - 1)
Suppose 6 = 5*k - 9. Let w = k - 0. Factor -w*t - 2*t**2 - 5 - t**2 + 4 - t**3.
-(t + 1)**3
Let q(x) = -x**3 + x**2 + x - 3. Let t(d) = 45*d**3 - 90*d**2 + 10*d + 30. Let k(h) = 10*q(h) + t(h). Fact