 2/9*d**5 + l*d**3.
2*d**2*(d + 1)**3/9
Factor 6*r - 6*r + 116*r**3 + 5*r**5 - 131*r**3 + 10*r**2.
5*r**2*(r - 1)**2*(r + 2)
Let n(t) be the first derivative of -2*t**5/5 + 2*t**3/3 - 8. Solve n(j) = 0 for j.
-1, 0, 1
Let l(a) be the second derivative of a**7/336 + a**6/80 + a**5/160 - a**4/32 - a**3/24 + 22*a. Factor l(j).
j*(j - 1)*(j + 1)**2*(j + 2)/8
Let f(r) be the second derivative of -5*r**7/42 - r**6/3 + 5*r**4/6 + 5*r**3/6 - 3*r. Factor f(p).
-5*p*(p - 1)*(p + 1)**3
Let l(w) = -w**3 + 6*w**2 - 6*w. Let g be l(2). Factor -1/5*v**5 + 0 - 4/5*v**2 - 1/5*v - 6/5*v**3 - 4/5*v**g.
-v*(v + 1)**4/5
Let b(u) be the first derivative of 0*u**2 - 9/5*u**5 + 0*u**3 + 5 + 3/2*u**4 + 0*u. Factor b(z).
-3*z**3*(3*z - 2)
Let l(w) be the third derivative of -2/15*w**3 + 0 + 0*w + 5*w**2 - 1/150*w**5 - 1/20*w**4. Solve l(k) = 0.
-2, -1
Let c = 3 + 0. Let d = -73/3 + 25. Let d + 2*x**2 - 2/3*x**c - 2*x = 0. What is x?
1
Let g be (-2)/(-3)*3/6. Let u(d) = 2*d + 48. Let m be u(-24). Factor 0*a**2 - 1/3*a**3 + m*a - g*a**5 + 2/3*a**4 + 0.
-a**3*(a - 1)**2/3
Let l(u) = u**2 + 21*u + 70. Let z be l(-17). Solve -2/3 + 2*g**z + 4/3*g = 0.
-1, 1/3
Let m(i) be the second derivative of -i**6/50 - 3*i**5/50 + i**3/5 + 3*i**2/10 - 28*i. Find q such that m(q) = 0.
-1, 1
Let f be (-1)/9*3*-1. Let q(b) be the first derivative of 4/3*b**6 + b - 5/2*b**4 - 3 + 2*b**2 + f*b**3 - 4/5*b**5. Factor q(d).
(d - 1)**2*(2*d + 1)**3
Let b(d) = -2*d**2 + 5*d - 5. Let l(j) = -j**2 + 2*j - 2. Let r = -14 - -35. Suppose 0 = -5*w - 1 + r. Let g(f) = w*b(f) - 10*l(f). Factor g(c).
2*c**2
Let c(q) be the first derivative of 1/5*q**3 + 3/5*q**2 - 5 + 3/5*q. Suppose c(p) = 0. Calculate p.
-1
Factor 102*f**2 - f + 0 + 0*f - 2 - 101*f**2.
(f - 2)*(f + 1)
Determine c so that 2/11*c + 4/11 - 2/11*c**3 - 4/11*c**2 = 0.
-2, -1, 1
Let r(t) = 54*t**4 - 126*t**3 - 141*t**2 + 60*t. Let p(b) = -11*b**4 + 25*b**3 + 28*b**2 - 12*b. Let h(g) = -21*p(g) - 4*r(g). What is w in h(w) = 0?
-1, 0, 2/5, 2
Let b(k) = 10*k**2 + 11*k - 10. Let y(i) = -i**2 - i + 1. Suppose 2*t = -2*t - 88. Let z(h) = t*y(h) - 2*b(h). Factor z(l).
2*(l - 1)*(l + 1)
Let l = 24 - 24. Let v(f) be the third derivative of 0*f**4 - 4*f**2 + 0*f**3 + 1/10*f**6 + 0 + 1/70*f**7 + l*f + 1/5*f**5. Factor v(x).
3*x**2*(x + 2)**2
Let s(n) be the second derivative of -n**4/3 + 76*n**3/3 - 722*n**2 + 16*n + 3. Factor s(d).
-4*(d - 19)**2
Let q(i) = 141*i**4 + 189*i**3 + 34*i**2 - 20*i - 6. Let a(u) = u**4 - u**3 - u**2 - 1. Let y(x) = 6*a(x) - q(x). Solve y(b) = 0.
-1, -2/3, 0, 2/9
Let m(q) be the first derivative of -q**8/504 + 2*q**7/315 - q**5/45 + q**4/36 - q**2/2 - 4. Let z(j) be the second derivative of m(j). Factor z(s).
-2*s*(s - 1)**3*(s + 1)/3
Let a(d) = 8*d**3 - 10*d**2 - 4*d - 6. Let b(v) = v**3 - v**2 - v - 1. Let j(t) = -t**2 + 6*t + 1. Let n be j(6). Let h(w) = n*a(w) - 6*b(w). Factor h(y).
2*y*(y - 1)**2
Let u(r) be the second derivative of r**4/72 - r**3/9 + r**2/3 + 12*r. Find l such that u(l) = 0.
2
Let w(v) be the first derivative of -2*v**3/21 - 4*v**2/7 - 8*v/7 + 4. What is d in w(d) = 0?
-2
Factor -2/7*c + 0 + 2/7*c**2.
2*c*(c - 1)/7
Let c(q) be the first derivative of -7*q**6/30 - 26*q**5/25 - 27*q**4/20 - 4*q**3/15 + 2*q**2/5 - 4. What is h in c(h) = 0?
-2, -1, 0, 2/7
Let u(c) = c**2 - 5*c + 5. Let x be u(5). Find s such that -13*s**4 + 4*s - 2*s**3 - 6*s**x + 5*s + 2 - s**3 + 0*s**3 + 11*s**2 = 0.
-1, -2/3, -1/2, 1
Let k(i) = i**3 - 6*i**2 + 4*i + 3. Let y be k(5). Let b be 3/(1 - 0/y). Factor -5*r**4 - r**5 + 5*r**4 + 2*r**4 - 2*r**3 + b*r**5 - 2*r**2.
2*r**2*(r - 1)*(r + 1)**2
Suppose 0*q + q = 0. Let x(c) be the second derivative of 1/9*c**3 + 1/18*c**4 + q*c**2 - 2*c + 0. Factor x(t).
2*t*(t + 1)/3
Suppose 0 = -5*n - 2*h + 28, 24 = 3*n - 2*n + 5*h. Suppose -q**3 + 4 - 2 + 7*q - n*q = 0. Calculate q.
-1, 2
Let h = 3 + -1. Determine c so that -c**4 - h - c**3 - 4*c**3 - 3*c**4 + 9*c**2 - 3*c**4 + 5*c = 0.
-1, 2/7, 1
Let p(a) be the first derivative of a**3/21 + 2*a**2/7 + 4*a/7 + 3. Let p(q) = 0. Calculate q.
-2
Suppose 4*g + 11*g - 45 = 0. Let j(r) be the first derivative of 15/4*r**4 - 2*r**g - 1 + 0*r**2 + 0*r. Solve j(p) = 0 for p.
0, 2/5
Suppose -58 + 388 = -3*i. Let u be i/(-80) - 3/8. Factor 3/2*p + 1/2*p**2 + u.
(p + 1)*(p + 2)/2
Let s(k) be the third derivative of -k**9/1512 + k**8/420 - k**7/420 - k**3/2 + k**2. Let b(q) be the first derivative of s(q). Solve b(h) = 0 for h.
0, 1
Let z(j) = -j + 1. Let g(o) be the first derivative of -o**3/3 - 3*o**2/2 + 4*o + 9. Let n(l) = -g(l) + 4*z(l). Let n(f) = 0. Calculate f.
0, 1
Factor 26*l**3 - 8*l**2 - 7*l**2 - 19 - 5*l**3 - 48*l + 7.
3*(l - 2)*(l + 1)*(7*l + 2)
Let m(i) = -14*i**2 + 39*i - 14. Let v(q) = 3*q**2 - 8*q + 3. Let y(j) = -2*m(j) - 11*v(j). Factor y(h).
-5*(h - 1)**2
Let z(a) = -a**2 - 1. Let r(j) be the first derivative of j**3 + j - 3. Let n(d) = r(d) + 2*z(d). Factor n(w).
(w - 1)*(w + 1)
Let r(n) be the second derivative of 0*n**2 + 0 + 2*n + 0*n**3 + 1/20*n**5 - 1/12*n**4. Factor r(m).
m**2*(m - 1)
Let u(o) = -19*o**4 + 30*o**3 + 25*o**2 + 7*o + 7. Let m(q) = -9*q**4 + 15*q**3 + 12*q**2 + 3*q + 3. Let x(k) = -7*m(k) + 3*u(k). Let x(d) = 0. Calculate d.
-1/2, 0, 3
Let b = -7 + 12. Suppose 0 = 6*g - 16 + 4. Factor m**3 - m**2 - 2*m**2 + 3*m**g - m**b.
-m**3*(m - 1)*(m + 1)
Let g(s) be the first derivative of s**5/15 + s**4/12 + 14. Factor g(l).
l**3*(l + 1)/3
Let b(u) be the first derivative of -3*u**4/4 + 3*u**3 - 38. What is w in b(w) = 0?
0, 3
Let g(q) = -q**3 - 10*q**2 - 24*q + 9. Let t be g(-5). Solve 0 + 0*w + 3/2*w**3 + 1/2*w**2 + 3/2*w**t + 1/2*w**5 = 0 for w.
-1, 0
Suppose -1 - 3 = -z. Factor -43*u**3 + 3*u**3 - 6*u**2 - 50*u**z - 2*u**2.
-2*u**2*(5*u + 2)**2
Let i = 360577/7796 + -3/1949. Let h = i + -46. Factor -1/4*j**3 + 1/4*j**4 + 0 - 1/4*j**2 + h*j.
j*(j - 1)**2*(j + 1)/4
Factor 1/2*q**3 + 7/2*q - 3/2 - 5/2*q**2.
(q - 3)*(q - 1)**2/2
Let h = 11/90 - 1/18. Let n(u) be the second derivative of 1/15*u**4 - 1/75*u**6 - 1/25*u**5 - u + h*u**3 + 0 + 1/105*u**7 - 1/5*u**2. Solve n(z) = 0.
-1, 1
Let 12 + 0*o**2 - o**2 - 2*o**2 + 8*o - o**2 = 0. What is o?
-1, 3
Suppose -2 = -0*v - v. Determine l so that 3*l**3 + 0*l**5 + 6*l - v*l**4 - 9*l**5 - 13*l**4 + 2*l**2 + 13*l**2 = 0.
-1, -2/3, 0, 1
Let x(o) be the third derivative of 1/9*o**4 - 4/9*o**3 + 0*o + 0 + 2*o**2 - 1/90*o**5. Determine k so that x(k) = 0.
2
Let p(d) be the third derivative of -d**7/42 - 5*d**6/8 - 25*d**5/4 - 625*d**4/24 + 16*d**2. Suppose p(u) = 0. What is u?
-5, 0
Let z(h) be the first derivative of 3*h**5/25 - 3*h**4/10 + h**3/5 + 3. Solve z(m) = 0.
0, 1
Let j = 7 + -5. Let v be 1/(j/4) - 0. Factor -2*n**2 - n + 0*n**v + n**2.
-n*(n + 1)
Let z = -5 - -41. Let d be (-1 + -5)/((-135)/z). Suppose 8/5*p**4 - 12/5*p**3 - 2/5*p + d*p**2 - 2/5*p**5 + 0 = 0. Calculate p.
0, 1
Factor -560*i**2 + 333*i**3 + 145*i - 1278 + 1268 - 88*i**3.
5*(i - 2)*(7*i - 1)**2
Let q be -1 - 2/(2/27). Let y be q/(-147)*3/2. Factor 2/7*v**2 + 0 + 6/7*v**4 - y*v**5 - 6/7*v**3 + 0*v.
-2*v**2*(v - 1)**3/7
Let u(n) be the second derivative of -n**5/80 + n**4/48 + n**3/12 - 7*n. Let u(v) = 0. What is v?
-1, 0, 2
Let n(g) be the third derivative of -g**5/240 + 17*g**4/48 - 289*g**3/24 - 2*g**2. Suppose n(o) = 0. What is o?
17
Let w(l) be the second derivative of l**4 - 16*l**3/3 + 8*l**2 - 24*l. Factor w(n).
4*(n - 2)*(3*n - 2)
Let g = 383 + -381. Let 4/11*i + 2/11*i**4 + 8/11*i**3 + 0 + 10/11*i**g = 0. Calculate i.
-2, -1, 0
Solve -1/2*c**3 + 0 + 0*c**2 + 0*c - 1/2*c**4 = 0.
-1, 0
Let s(j) be the third derivative of -1/144*j**6 + 0*j - 1/630*j**7 + 8*j**2 + 0 - 1/120*j**5 + 1/36*j**3 + 1/144*j**4. Suppose s(r) = 0. What is r?
-1, 1/2
Suppose -4*i + 7 = -b - 1, -b - 6 = -3*i. Let j(y) be the first derivative of 1/5*y**4 + 0*y - 1 - 2/15*y**3 - 2/25*y**5 + b*y**2. Factor j(l).
-2*l**2*(l - 1)**2/5
Let a be (-42)/(-4)*(-28)/(-6). Suppose -4*f - 1 + a = 0. Solve -15*b**2 - f*b**5 - 26*b**4 - 2*b + b**2 + 4*b**5 - 30*b**3 = 0.
-1, -1/4, 0
Let -10/3*g + 0 + 25/3*g**2 - 10/3*g**3 = 0. What is g?
0, 1/2, 2
Let i be -6*-4*(-4)/(-24). What is q in 8*q**i + 5*q**3 - 24*q + 16 - 21*q**2 + 10*q**4 + 25*q**3 - 7*q**2 = 0?
-2, -1, 2/3
Let a(i) be the second derivative of -i**6/6 - 3*i**5/20 + i**4 - 2*i**3/3 + 12*