ivative of p(d). What is v in b(v) = 0?
1, 2
Suppose -2 = p - 5. Determine i so that -10 + 2*i**4 + 10 + 2*i**p = 0.
-1, 0
Factor 0*i - 26/5*i**3 + 2/5*i**5 + 0 + 14/5*i**2 + 2*i**4.
2*i**2*(i - 1)**2*(i + 7)/5
Let y(w) = 2*w**3 - 5*w**2 - w. Let n(v) = v**3 - v**2. Let s(p) = -3*n(p) + y(p). Solve s(c) = 0.
-1, 0
Let q(b) = -b**3 + 3*b + 1. Let i be q(-2). Let u(m) be the first derivative of 1/2*m**2 - 2/3*m**i - 1 + 1/4*m**4 + 0*m. Solve u(l) = 0.
0, 1
Let f be ((-40)/12 + 3)*-12. Factor -g**5 - g**f - 6*g + 6*g.
-g**4*(g + 1)
Let p be 52/20 - (-2)/5. Factor d - d**2 + 1/3*d**p - 1/3.
(d - 1)**3/3
Let 112*h**4 - 44*h**3 + 4*h**2 + 110*h**4 - 101*h**4 = 0. What is h?
0, 2/11
Let d(l) be the first derivative of 1/24*l**3 - 1 + 0*l**2 - l + 1/16*l**4. Let u(k) be the first derivative of d(k). Factor u(c).
c*(3*c + 1)/4
Solve 10/3*z**3 - 16/3*z**4 + 0*z + 0 + 2*z**2 = 0 for z.
-3/8, 0, 1
Let a(g) be the second derivative of 1/6*g**4 + 0 + 2/3*g**3 - 2*g + g**2. What is y in a(y) = 0?
-1
Let f(y) = -y**2 + 15*y - 12. Let s be f(14). Let p(x) be the third derivative of 0 + 0*x**3 + 1/60*x**5 + x**s - 1/24*x**4 + 0*x. Factor p(o).
o*(o - 1)
Let f(l) be the first derivative of -l**4 + 8*l**3/3 + 2*l**2 - 8*l + 12. Factor f(d).
-4*(d - 2)*(d - 1)*(d + 1)
Let x(u) be the second derivative of u**6/240 - u**5/48 - u**4/24 + u**3/6 + u. Let q(k) be the second derivative of x(k). Factor q(l).
(l - 2)*(3*l + 1)/2
Let n = -2 + -7. Let g(c) = -c**4 + 4*c**3 - 3*c**2 - 4. Let i(y) = 3*y**4 - 9*y**3 + 6*y**2 + 9. Let x(z) = n*g(z) - 4*i(z). Factor x(t).
-3*t**2*(t - 1)*(t + 1)
Let q(k) be the second derivative of -k**5/30 - k**4/6 - k**3/3 - k**2/3 + k. Find z, given that q(z) = 0.
-1
Let x be (4 - (1 + -1)) + 1. Suppose y = x*y - 12. Find n, given that 2*n - n + 2*n**5 - 2*n**3 + y*n**5 - 4*n**5 = 0.
-1, 0, 1
Let o(x) be the first derivative of x**5/60 + x**4/3 + 8*x**3/3 + 32*x**2/3 + 64*x/3 + 8. Solve o(l) = 0 for l.
-4
Let h(y) be the second derivative of -1/12*y**4 + 0 - 2*y + 1/20*y**5 + 0*y**2 + 0*y**3. Find s, given that h(s) = 0.
0, 1
Suppose 2*t + t - 3 = 0. Determine l so that l**3 + t + l - 1 - 2*l**3 = 0.
-1, 0, 1
Let j(f) be the third derivative of -1/540*f**6 + 0 - 1/27*f**3 - 5*f**2 - 1/36*f**4 + 0*f - 1/90*f**5. Factor j(a).
-2*(a + 1)**3/9
Let r(j) be the third derivative of j**8/1176 - j**6/210 + j**4/84 - 5*j**2. Factor r(q).
2*q*(q - 1)**2*(q + 1)**2/7
Let s(v) be the second derivative of -v**4/90 + v**3/45 + 2*v**2/15 + 38*v. Factor s(a).
-2*(a - 2)*(a + 1)/15
Let f(q) be the third derivative of 1/270*q**5 - 1/54*q**4 - 7*q**2 + 0*q + 0 - 1/9*q**3. Factor f(m).
2*(m - 3)*(m + 1)/9
Let b(y) be the second derivative of y**6/60 + y**5/20 - y**3/6 - y**2/4 - 7*y. Factor b(w).
(w - 1)*(w + 1)**3/2
Let q(l) be the third derivative of l**8/112 - l**6/20 + l**4/8 + 3*l**2. Factor q(t).
3*t*(t - 1)**2*(t + 1)**2
Let o(p) be the third derivative of -p**6/360 + p**5/180 - 3*p**2. Factor o(k).
-k**2*(k - 1)/3
Let w(a) be the third derivative of 1/420*a**6 + 1/210*a**5 + 0*a**4 + 0 + 4*a**2 + 0*a**3 + 0*a. Determine j, given that w(j) = 0.
-1, 0
Let s = -89 - -89. Let i(r) be the third derivative of 0 + 0*r**3 - r**2 + s*r + 1/48*r**4 + 1/120*r**5. Let i(h) = 0. What is h?
-1, 0
Let z be -1 - (-7 - 16/(-4)). Suppose 1/3*k**z + 3 + 2*k = 0. What is k?
-3
Suppose 5*p = 7*p. Let g(u) be the second derivative of 0*u**2 + 0 - 1/30*u**4 + u + 1/75*u**6 + 0*u**3 + p*u**5. Determine h so that g(h) = 0.
-1, 0, 1
Let w(q) be the third derivative of q**7/1260 - 7*q**4/24 + 4*q**2. Let n(c) be the second derivative of w(c). Let n(p) = 0. What is p?
0
Let c(a) be the third derivative of 0*a**4 + 0*a**5 - 2/105*a**7 + 0*a**6 + 0*a + 0*a**3 + 0 - 7*a**2. Factor c(i).
-4*i**4
Let q(x) be the first derivative of 2/15*x**5 + 0*x - 4 + 2/9*x**3 + 0*x**2 + 1/3*x**4. Solve q(f) = 0.
-1, 0
Let o(s) be the first derivative of s**6/200 + s**5/100 - s**4/40 - s**3/10 - s**2/2 + 3. Let j(b) be the second derivative of o(b). Solve j(t) = 0.
-1, 1
Find c such that -1/5 - 1/5*c**2 + 2/5*c = 0.
1
Let h(l) be the third derivative of l**7/210 - l**6/120 - l**5/60 + l**4/24 + 3*l**2. Let h(f) = 0. What is f?
-1, 0, 1
Let i(p) be the second derivative of p**6/70 + 3*p**5/70 + p**4/28 + 6*p. Factor i(x).
3*x**2*(x + 1)**2/7
Let d(c) be the first derivative of c**6/24 + c**5/5 + c**4/4 - c**3/6 - 5*c**2/8 - c/2 + 6. Let d(f) = 0. Calculate f.
-2, -1, 1
Factor -2*h**2 + 6*h**4 - 2*h**4 + 2*h**3 - 3*h - 2*h**4 + h.
2*h*(h - 1)*(h + 1)**2
Let v be 31/(-5) - (-8)/40. Let w be (-6)/81*(-9 - v). Determine c, given that 8/9*c + 8/9 + w*c**2 = 0.
-2
Suppose -3*l + 3*x = 2 - 5, -3 = l + 3*x. Let b = l + 4. Factor -5*f + 1 + b*f**2 + 3 - f**3 - 2.
-(f - 2)*(f - 1)**2
Let d(g) be the third derivative of -g**8/80640 + g**6/2880 + 2*g**5/15 + 8*g**2. Let z(v) be the third derivative of d(v). Find n such that z(n) = 0.
-1, 1
Suppose -u = -1 - 1. Find h such that 0 + 2*h**3 - 4/5*h - 6/5*h**u = 0.
-2/5, 0, 1
Let u(i) be the first derivative of -i**5/40 - i**4/6 - 5*i**3/12 - i**2/2 - 5*i - 5. Let p(b) be the first derivative of u(b). Find s such that p(s) = 0.
-2, -1
Let q(t) = -8*t**2 - 8*t - 4. Let j(g) = 9*g**2 + 8*g + 5. Let p(n) = 4*j(n) + 5*q(n). Factor p(u).
-4*u*(u + 2)
Let s(i) be the third derivative of -1/30*i**5 + 1/120*i**6 + 0*i + 0*i**3 + 3*i**2 + 0 + 1/24*i**4. Factor s(v).
v*(v - 1)**2
Let o(b) be the first derivative of -2 + 1/4*b**5 - 5/8*b**4 + 5/6*b**3 + 1/4*b - 1/24*b**6 - 5/8*b**2. Find t such that o(t) = 0.
1
Suppose -41*n - 2 = -42*n. Let d(h) be the first derivative of -11/15*h**3 + 3 + 1/5*h**n + 9/20*h**4 + 0*h. Factor d(v).
v*(v - 1)*(9*v - 2)/5
Let n be 3*-5*(-8)/60. Let h(f) be the third derivative of -4*f**n + 1/6*f**4 + 0 + 0*f + 2/3*f**3 + 1/60*f**5. Factor h(s).
(s + 2)**2
Let i be (6 - 0)*(-4)/(-8). Let g(f) = -f**2 - 7*f - 7. Let v be g(-5). Determine y, given that -y - y**v - y + 5*y**i - 2*y**3 = 0.
-1, 0, 1
Let s be (-6)/(-2)*1*3. Let 2*g**4 + 4*g**2 + 3 + g + 14*g**3 - s*g**3 - 3 = 0. What is g?
-1, -1/2, 0
Let l = 14 - 68/5. Let o(x) be the first derivative of -l*x**2 + 1 + 0*x - 2/15*x**3. Factor o(v).
-2*v*(v + 2)/5
Let x(u) be the first derivative of u**4/4 + u + 3. Let h(n) = 2*n - 9 - n + 2 - 8*n**3. Let c(s) = 2*h(s) + 14*x(s). Factor c(m).
-2*m*(m - 1)*(m + 1)
Let t(v) = -3*v**2 + 3*v + 4. Let h(b) = -4*b**2 + 4*b + 5. Let u(w) = 4*h(w) - 5*t(w). Factor u(z).
-z*(z - 1)
Suppose 2*g + 12 = 5*g. Suppose r = -g*r. Let 0*n**3 + 0*n - 6/5*n**4 + r - 2/5*n**5 + 8/5*n**2 = 0. What is n?
-2, 0, 1
Let j(x) = -x**2 - 12*x**3 - 2*x + 6 - 5*x**4 - 2*x + 10*x**2 - 15*x**4. Let a(g) = -g**2 + g - 1. Let v(q) = 6*a(q) + j(q). Factor v(w).
-w*(2*w + 1)**2*(5*w - 2)
Let z(x) = -x**2 - 21*x - 36. Let r be z(-19). Factor -n - 1/2 - 1/2*n**r.
-(n + 1)**2/2
Let i(l) be the first derivative of -2*l**3/27 - l**2 - 11. Suppose i(d) = 0. What is d?
-9, 0
Let i be 15*(-4)/(-3) - -1. Let z be (-2)/7 - (-6)/i. Factor z*x**2 + 0 + 2/3*x - 2/3*x**3.
-2*x*(x - 1)*(x + 1)/3
Let n be (-5)/(-10)*(-1 - -7). Factor -82*k**3 + 4*k**2 - n*k**4 - k**2 + 79*k**3 + 3*k.
-3*k*(k - 1)*(k + 1)**2
Let j(b) be the second derivative of -3*b**5/5 - 8*b**4/3 - 14*b**3/3 - 4*b**2 + 6*b. Factor j(f).
-4*(f + 1)**2*(3*f + 2)
Let f(a) be the second derivative of -a**7/735 - a**6/210 - a**5/210 - a**2/2 - 3*a. Let z(h) be the first derivative of f(h). Let z(q) = 0. What is q?
-1, 0
Let u = -4/17 - -130/119. Find h such that u*h**2 + 0 - 2/7*h - 6/7*h**3 + 2/7*h**4 = 0.
0, 1
Let s(i) = -i**3 + 11*i**2 + 11*i + 12. Let w be s(12). Suppose 4*y - b - 24 = w, y - 4*b = -b + 17. Factor 4/3*v**3 + 10/3*v**y + 0*v**2 + 0*v + 14/3*v**4 + 0.
2*v**3*(v + 1)*(5*v + 2)/3
Factor 4*b**3 - b**3 + b**4 + 3*b**3 - 4*b**3.
b**3*(b + 2)
Let x(a) = 6*a**2 + 12*a + 7. Let b(r) = -7*r**2 - 12*r - 6. Let c(p) = 3*b(p) + 2*x(p). Let c(o) = 0. What is o?
-2/3
Let l be (-13)/(-52) + (-34)/8. Let y be l/5 - 116/(-20). Let -5*m**y + 71/5*m**3 - 28/5*m - 2*m**2 + 8/5 + 4*m**4 = 0. Calculate m.
-1, 2/5, 2
Let d(v) be the third derivative of -4/105*v**7 + 0 + 0*v + 0*v**3 - 7/60*v**6 + 2*v**2 + 1/12*v**4 - 1/15*v**5. Factor d(u).
-2*u*(u + 1)**2*(4*u - 1)
Let x(z) be the third derivative of z**10/15120 - z**8/1120 + z**7/630 + 5*z**