 + 1)**2/11
Let b(f) = -3*f**2 - 51*f + 3. Let m be b(-17). Factor 0 - 9/2*q**3 - 3/4*q - 3/4*q**5 + 3*q**4 + m*q**2.
-3*q*(q - 1)**4/4
Let v(w) = -w - 1. Let q be v(-2). Let t = q + 2. Factor -4/3*p**2 + 14/3*p**t + 0*p + 0.
2*p**2*(7*p - 2)/3
Let u(c) be the first derivative of -c**5/42 + c**4/14 - c**3/21 - 3*c**2/2 + 3. Let q(r) be the second derivative of u(r). Determine y, given that q(y) = 0.
1/5, 1
Let r be (-55)/7*(-4)/(-5). Let t = r - -410/63. Find w, given that -t*w + 0 - 4/9*w**4 + 4/9*w**2 + 0*w**3 + 2/9*w**5 = 0.
-1, 0, 1
Let g be 4/(-14) + (46/14 - 1). Find k such that -k + 1/2 + 1/2*k**g = 0.
1
Let x = 7/22 + -1/3. Let r = 47/198 + x. Let 0*o + 0 - 2/9*o**5 - r*o**3 + 0*o**2 - 4/9*o**4 = 0. Calculate o.
-1, 0
Let d(z) be the second derivative of z**5/20 - z**4/2 - 5*z. Factor d(c).
c**2*(c - 6)
Let s be -26*4/224 + 3/4. Suppose 0 + s*r**2 + 2/7*r = 0. What is r?
-1, 0
Suppose 3*z + 0*z = -5*v - 11, 0 = -v - 4. Let x(r) be the first derivative of -8/7*r - 4/7*r**2 + 1 - 2/21*r**z. What is n in x(n) = 0?
-2
Let i(n) be the first derivative of 3*n**5/5 + 3*n**4/4 - 3*n**3 - 3*n**2/2 + 6*n + 1. Factor i(a).
3*(a - 1)**2*(a + 1)*(a + 2)
Let b(q) be the third derivative of -q**8/33600 + q**7/4200 - q**6/1200 + q**5/60 + 6*q**2. Let a(i) be the third derivative of b(i). Factor a(j).
-3*(j - 1)**2/5
Let w(y) be the first derivative of -1/6*y**3 + 1/4*y**2 + 0*y + 1. Factor w(z).
-z*(z - 1)/2
Let b(d) = d**2 + 11*d - 380. Let f be b(-26). Factor 14/3*o**2 + 6 - 2/3*o**3 - f*o.
-2*(o - 3)**2*(o - 1)/3
Let w(h) = h**3 + 2*h**2 + 2*h + 1. Let a be w(-1). Let n be (-7)/(-14)*(a + 8). Factor -8/3*p + 2/3*p**n + 2/3 + 4*p**2 - 8/3*p**3.
2*(p - 1)**4/3
Let c be ((-6)/4)/((-30)/40). Suppose 4*p - 4 = 2*v - 2, -3*p + c*v = 0. Let 1/2*q**p + 1/4*q - 1/4*q**3 - 1/2 = 0. What is q?
-1, 1, 2
Let u(k) = -2*k**3 + 2*k**2 - k + 0*k + 3*k**3 - 2 - 3*k. Let a(x) = -2*x**3 - 4*x**2 + 9*x + 4. Let s(m) = -3*a(m) - 7*u(m). Find g such that s(g) = 0.
-2, -1, 1
Let l(i) be the third derivative of -i**5/12 + 25*i**4/4 - 375*i**3/2 - 2*i**2 + 18*i. Factor l(w).
-5*(w - 15)**2
Let p(w) be the third derivative of w**7/350 - w**6/50 + w**5/25 - 38*w**2. Factor p(u).
3*u**2*(u - 2)**2/5
Let s(a) = a**2 - 4*a + 3. Let u be s(3). Suppose u*d = -d + 2. Determine g, given that -g - 3/2*g**d + 0 - 1/2*g**3 = 0.
-2, -1, 0
Let u(n) = n**4 + 5*n**3 + 4*n**2 + 3*n. Let l(h) = h**4 + 4*h**3 + 3*h**2 + 2*h. Let s(f) = -3*l(f) + 2*u(f). Determine g so that s(g) = 0.
-1, 0
Let c(u) be the first derivative of -u**4/28 + 4*u**3/21 - 5*u**2/14 + 2*u/7 - 17. Solve c(g) = 0.
1, 2
Let x(r) = r + 1. Let f(l) = -6*l**3 + 16*l**2 - 9*l + 9. Suppose 3*d + d = 20. Let k(h) = d*x(h) - f(h). Factor k(v).
2*(v - 1)**2*(3*v - 2)
Let c(d) = 4*d**4 + 14*d**3 + 12*d**2 + 2*d - 4. Let h(l) = -12*l**4 - 41*l**3 - 35*l**2 - 6*l + 11. Let s = -16 - -5. Let f(w) = s*c(w) - 4*h(w). Factor f(u).
2*u*(u + 1)**2*(2*u + 1)
Let g = -2 - -6. Factor -4*b - 5*b + 4*b + b**3 + g*b.
b*(b - 1)*(b + 1)
Factor -1/2*y**5 + 0*y - 6*y**3 + 0 + 4*y**2 + 3*y**4.
-y**2*(y - 2)**3/2
Let r(l) = 4*l**3 - 6*l**2 + 12*l - 11. Let k(a) = 5*a**3 - 6*a**2 + 12*a - 12. Let q(b) = -3*k(b) + 4*r(b). Let q(j) = 0. What is j?
2
Let r(z) = 11*z**5 + 7*z**4 + 5*z. Let t(y) = 5*y**5 + 3*y**4 + 2*y. Let x(g) = -6*r(g) + 15*t(g). Factor x(b).
3*b**4*(3*b + 1)
Let t(m) be the second derivative of m**4/54 + 4*m**3/9 - 13*m**2/9 + 42*m. Factor t(q).
2*(q - 1)*(q + 13)/9
Let w(b) be the first derivative of 7*b**6/40 + 41*b**5/80 + b**4/2 + b**3/6 + 10*b + 4. Let m(x) be the first derivative of w(x). Find p, given that m(p) = 0.
-1, -2/3, -2/7, 0
Suppose -2 - 1 = -g. Find n such that 0 + 2/3*n - 4/3*n**2 + 2/3*n**g = 0.
0, 1
Let s(v) be the third derivative of -v**7/105 + v**6/30 + v**5/10 - v**4/3 - 4*v**3/3 + 8*v**2. Factor s(j).
-2*(j - 2)**2*(j + 1)**2
Let o(y) be the second derivative of y**8/168 - y**7/210 - y**6/36 + y**5/30 + y**3/3 + 3*y. Let q(u) be the second derivative of o(u). Solve q(l) = 0.
-1, 0, 2/5, 1
Let j = 17 + 2. Let g be j/7 - 4/(-14). Let 0 - 4/3*w**g - 2/3*w**4 + 0*w - 2/3*w**2 = 0. What is w?
-1, 0
Let j(y) = y**2 + 8*y + 4. Let m be j(-8). Suppose 0 = -2*s + 6 + m. Find v such that 0 - 2/3*v - 8/3*v**s - 10*v**3 + 26/3*v**4 + 14/3*v**2 = 0.
0, 1/4, 1
Let z = -8999/30 + 300. Let x(o) be the third derivative of 0*o**3 + z*o**5 + 0 - 3*o**2 + 0*o + 1/12*o**4. Let x(h) = 0. Calculate h.
-1, 0
Let v(h) be the first derivative of -2 + 0*h**2 + 1/10*h**4 - 2/15*h**3 + 0*h. Suppose v(o) = 0. Calculate o.
0, 1
Let t = 301/40100 + 1/401. Let z(v) be the third derivative of 0*v + 0*v**3 + t*v**5 + 1/350*v**7 - 1/100*v**6 - v**2 + 0 + 0*v**4. Factor z(d).
3*d**2*(d - 1)**2/5
Let g(k) be the first derivative of -k**4/2 + 8*k**3/3 - 11. Factor g(z).
-2*z**2*(z - 4)
Let z(f) be the third derivative of -f**8/168 + f**6/15 + f**5/15 - f**4/4 - 2*f**3/3 - 7*f**2. Suppose z(c) = 0. Calculate c.
-1, 1, 2
Let g be 40/50 + (-1 - -1). Find c, given that 2/5*c**3 - g*c**2 + 0 + 2/5*c = 0.
0, 1
Suppose -4/3*a**3 + 0*a + 40/3*a**2 + 0 = 0. Calculate a.
0, 10
Let m(x) be the second derivative of -x**7/7 - x**6/15 + 9*x**5/10 - x**4/2 - 2*x**3/3 - 6*x. What is z in m(z) = 0?
-2, -1/3, 0, 1
Let b be (-2)/(-5)*(87/18 - 4). Factor j**2 - j - b*j**3 + 1/3.
-(j - 1)**3/3
Let d be 0 - 3/((-60)/8). Factor 2/5*y**4 + d*y**3 - 2/5*y**2 + 0 + 0*y - 2/5*y**5.
-2*y**2*(y - 1)**2*(y + 1)/5
Let m(r) be the third derivative of -r**8/13440 - r**7/3360 - r**5/30 - 2*r**2. Let v(a) be the third derivative of m(a). What is b in v(b) = 0?
-1, 0
Let i = 20 + -24. Let p be (9/(-6))/(15/i). Factor p - 4/5*v**2 - 2/5*v.
-2*(v + 1)*(2*v - 1)/5
Solve -2 + 1/4*w**4 + w + 3/2*w**2 - 5/4*w**3 = 0 for w.
-1, 2
Let g(c) be the second derivative of c**8/36960 + c**7/13860 - c**6/3960 - c**5/660 - c**4/12 - 4*c. Let v(n) be the third derivative of g(n). Factor v(l).
2*(l - 1)*(l + 1)**2/11
Suppose -14 = -3*h - g, 2*h = -g - 0*g + 10. Find u such that -4 - u - 10*u**2 - 3*u**2 - u**h - 6*u**3 - 11*u = 0.
-2, -1
Let f(g) be the third derivative of -g**6/720 + g**4/144 + g**2. Suppose f(s) = 0. What is s?
-1, 0, 1
Let d be 1/2 + (-12)/27. Let l(n) be the second derivative of 0 - 2*n + 0*n**2 + 0*n**3 - d*n**4 - 1/15*n**5 - 1/45*n**6. Factor l(s).
-2*s**2*(s + 1)**2/3
Let g(r) be the second derivative of -1/20*r**5 + 0 + 1/8*r**4 - 3*r + r**3 + 3/2*r**2. Let h(v) be the first derivative of g(v). Let h(j) = 0. Calculate j.
-1, 2
Let f = 8 - 5. Let t(r) = f*r - 4*r + 3*r. Let q(y) = -y**2 - y. Let k(u) = 2*q(u) - t(u). Factor k(b).
-2*b*(b + 2)
Let x(j) be the third derivative of -j**8/336 + j**7/105 - j**6/120 - 10*j**2. Factor x(k).
-k**3*(k - 1)**2
Let y(w) = -w**2 + 3*w + 2. Let o be y(3). Let u(v) = v**2 - 3*v + 2. Let s be u(3). Factor 0*z**4 + 2*z**3 - z - 6*z**s - 7*z + o*z**3 + 2*z**4 + 8.
2*(z - 1)**2*(z + 2)**2
Suppose 2*p = 3*p - 1. Let v(a) = 11*a - p + 5 - 6*a**2 - 5 - 7. Let t(z) = 2*z**2 - 4*z + 3. Let y(n) = 8*t(n) + 3*v(n). Determine o, given that y(o) = 0.
0, 1/2
Factor 2/3*v + 2/3*v**4 + 2*v**2 + 0 + 2*v**3.
2*v*(v + 1)**3/3
Let c be 10/100 + (-1)/(-2). Factor -6/5*a**3 + 0*a**2 - 3/5 + c*a**4 + 6/5*a.
3*(a - 1)**3*(a + 1)/5
Let b(j) = -2*j - 16. Let d be b(-9). Let g(u) be the first derivative of 0*u**d - 1/12*u**3 + 2 + 1/4*u. Suppose g(o) = 0. Calculate o.
-1, 1
Let w(o) be the second derivative of o**8/26880 + o**7/5040 - o**4/4 - o. Let k(d) be the third derivative of w(d). Factor k(s).
s**2*(s + 2)/4
Let w(y) be the third derivative of y**6/120 - y**5/20 + y**4/8 - y**3/3 - 4*y**2. Let f(k) be the first derivative of w(k). Find c, given that f(c) = 0.
1
Find o such that 8/3*o**3 + 24*o**4 + 54*o**5 + 0*o + 0 + 0*o**2 = 0.
-2/9, 0
Let x(y) be the third derivative of 1/24*y**6 - 9*y**2 + 1/336*y**8 + 0*y**3 + 0*y + 0*y**4 + 2/105*y**7 + 0 + 1/30*y**5. Let x(z) = 0. What is z?
-2, -1, 0
Let r(u) be the third derivative of -u**7/630 - u**6/360 + u**5/60 + u**4/72 - u**3/9 - 4*u**2. Factor r(z).
-(z - 1)**2*(z + 1)*(z + 2)/3
Let r(c) = 2*c**3 - 4*c**2 + 12*c + 10. Let a(y) = -5*y + 7. Let f(i) = -4*i + 6. Let j(t) = 5*a(t) - 6*f(t). Let p(h) = -20*j(h) - 2*r(h). Factor p(o).
-4*o*(o - 1)**2
Let r(v) be the first derivative of v**4/22 - 4*v**3/11 + 12*v**2