*3 + 1/5 + 2/5*j**2.
(j - 1)**4*(j + 1)/5
What is s in 0*s + 3*s - 13*s**2 - 5*s**2 - 4 + 19*s**2 = 0?
-4, 1
Let b be 4*(5 - 1/1 - 3). Let j(k) be the first derivative of 1/3*k**3 - 1/5*k**5 + 0*k + 0*k**b - 4 + 0*k**2. What is t in j(t) = 0?
-1, 0, 1
Factor 0*c**2 + 1/2*c**5 + 0*c + 3/2*c**4 + 0 - 2*c**3.
c**3*(c - 1)*(c + 4)/2
Let j(q) be the third derivative of q**4/24 - q**3/6 + q**2. Let f be j(1). Factor 1/2*c**2 - 1/2 + f*c.
(c - 1)*(c + 1)/2
Let m = 27 + -22. Determine q, given that -3 + 8*q + m + 4*q**2 - 2 + 4 = 0.
-1
Let r be 9/((-108)/(-20))*2/5. Suppose 0 - r*j + 5/3*j**2 + 7/3*j**3 = 0. Calculate j.
-1, 0, 2/7
Let f(u) = u**3 - 5*u**2 - 6*u + 2. Let c be f(6). Let g be 1/2*1/c. Factor 1/4 + g*n**2 + 1/2*n.
(n + 1)**2/4
Let w(c) = -7*c**3 + 12*c**2 + 1. Let g(j) be the first derivative of j**2/2 + j - 5. Let p(i) = 3*g(i) - w(i). Solve p(n) = 0 for n.
-2/7, 1
Let o(k) be the first derivative of -k**7/735 - k**6/420 + k**5/105 + 2*k**2 + 4. Let f(b) be the second derivative of o(b). Suppose f(n) = 0. What is n?
-2, 0, 1
Suppose -2*d = -6*d + 36. Let o be 2*(2 - d/6). Factor -2*k**3 + o - 1 + 2*k**4.
2*k**3*(k - 1)
Let g(w) = 64*w**4 - 53*w**3 + 5*w**2 + 4*w + 5. Let x(i) = -320*i**4 + 264*i**3 - 24*i**2 - 20*i - 24. Let s(z) = 24*g(z) + 5*x(z). Factor s(f).
-4*f*(2*f - 1)**2*(4*f + 1)
Factor 0 + 8/7*m**2 + 4/7*m**3 - 4/7*m**4 + 0*m.
-4*m**2*(m - 2)*(m + 1)/7
Let y(j) = 21*j**2 + 4*j + 5. Let p(b) = 10*b**2 + 2*b + 2. Let n(z) = 5*p(z) - 2*y(z). Solve n(f) = 0 for f.
-1/4, 0
Let i(z) = -3*z**2 - 39*z - 39. Let a(b) = -b**2 - 10*b - 10. Let p(u) = 9*a(u) - 2*i(u). Factor p(m).
-3*(m + 2)**2
Let t(w) be the second derivative of w**5/20 + w**4/36 - 3*w. Find b such that t(b) = 0.
-1/3, 0
Let m(h) = h**4 + 2*h**3 + h - 1. Let p(k) = -2*k**4 - 4*k**3 - k + 2. Let b(l) = 5*m(l) + 3*p(l). Determine c, given that b(c) = 0.
-1, 1
Let w = 25 - 20. Let u(z) be the first derivative of 1 - 1/5*z**2 - 2/5*z**3 + 0*z - 3/10*z**4 - 2/25*z**w. Factor u(r).
-2*r*(r + 1)**3/5
Let v(r) be the second derivative of -r**7/420 + r**6/80 - r**5/40 + r**4/48 + r**2 - 2*r. Let n(j) be the first derivative of v(j). Solve n(p) = 0.
0, 1
Let d = 11/80 + 1/16. Let t be 2/14 - 130/(-70). Find u, given that -2/5*u**t + 1/5*u**4 + 0*u + d + 0*u**3 = 0.
-1, 1
Let r(f) be the third derivative of 0*f - 1/112*f**8 + 0*f**4 - 3/70*f**7 + 0 + 0*f**3 - 1/20*f**5 - 3/40*f**6 - f**2. Factor r(b).
-3*b**2*(b + 1)**3
Suppose 0 = -n + 5 - 2. Factor n*j**2 + 3 + 6*j + 3*j - 3*j.
3*(j + 1)**2
Let s(k) = -k**2 + 6*k - 5. Let c be s(4). Let g be ((-2)/5)/(1/(-5)). Factor 21*u**4 + 5*u**g - u**2 + 28*u**4 - 28*u**c.
u**2*(7*u - 2)**2
Suppose -12 = -0*f - 3*f. Let h(s) be the third derivative of -39/80*s**6 + 0*s**3 + 0*s + 27/140*s**7 + 0 - 1/12*s**f + 1/3*s**5 - s**2. Solve h(d) = 0 for d.
0, 2/9, 1
Factor -4*s**3 + 3 + 2*s**4 - 11 - s**2 + 16*s - 7*s**2 + 2*s**2.
2*(s - 2)*(s - 1)**2*(s + 2)
Let w be 3/(-6)*2*0. Let y(h) be the second derivative of -2*h + 1/6*h**3 + 1/12*h**4 + 1/80*h**5 + w*h**2 + 0. Factor y(a).
a*(a + 2)**2/4
Let c(n) be the first derivative of n**5 + 55*n**4/4 + 45*n**3 + 125*n**2/2 + 40*n - 19. Factor c(s).
5*(s + 1)**3*(s + 8)
Let h(k) be the first derivative of k**4/18 + 8*k**3/27 - 2. Factor h(d).
2*d**2*(d + 4)/9
Let y(z) be the third derivative of z**5/480 + 11*z**4/192 + 5*z**3/24 - 26*z**2. Factor y(g).
(g + 1)*(g + 10)/8
Let i be (-2)/(-7) - (-104)/28. Let z(q) be the third derivative of -1/72*q**i + 0*q**3 + q**2 + 1/90*q**5 - 1/360*q**6 + 0 + 0*q. Factor z(c).
-c*(c - 1)**2/3
Let r(n) be the third derivative of 0 - 1/20*n**5 - 5*n**2 - 1/60*n**6 + 0*n + 0*n**3 + 1/70*n**7 + 1/12*n**4. Find a, given that r(a) = 0.
-1, 0, 2/3, 1
Let q = 104/3 - 34. Factor 0 + p**2 + 1/3*p**3 + q*p.
p*(p + 1)*(p + 2)/3
Factor -2/3*m**3 - 4/3*m**4 + 0*m**2 + 0*m + 0 - 2/3*m**5.
-2*m**3*(m + 1)**2/3
Let h(q) be the second derivative of -3*q**5/8 - q**4 - q**3/4 + 3*q**2/2 + 4*q. Let h(k) = 0. What is k?
-1, 2/5
Suppose 3*p = 5*j - 4, 4*p + 5*j + 36 = 4*j. Let g = p - -11. Factor -k**2 + k**3 + k**g - k**2 + 0*k - 4*k.
2*k*(k - 2)*(k + 1)
Let v(a) be the third derivative of -a**5/20 + a**4/8 + 5*a**2. Let v(p) = 0. Calculate p.
0, 1
Let -1/4*o**2 + 1/2*o**3 + 3/4 - o = 0. What is o?
-3/2, 1
Find p such that 0*p + 4*p + 15*p**2 - 17*p**2 = 0.
0, 2
Factor w**2 + 9*w + 4*w**2 - 3*w - 9 - 2*w**2.
3*(w - 1)*(w + 3)
Let q = 21 + -21. Let c be 1*q*(-2)/8. Factor c + 2/3*b**2 - 2/3*b.
2*b*(b - 1)/3
Suppose -a + 2*a - 5 = 5*u, a - 5 = u. Suppose u = -2*j + 5*l + 24, -l + 0 = 3*j - 2. Factor 4/5*r + 0 + 18/5*r**j + 24/5*r**3 + 2*r**4.
2*r*(r + 1)**2*(5*r + 2)/5
Factor 3/2*l**2 + 0*l + 0 + 0*l**3 - 3/2*l**4.
-3*l**2*(l - 1)*(l + 1)/2
Let d(m) be the first derivative of 2/21*m**3 + 3/14*m**4 + 6/35*m**5 + 0*m + 3 + 1/21*m**6 + 0*m**2. Factor d(s).
2*s**2*(s + 1)**3/7
Let h(v) be the third derivative of -v**7/672 - v**6/80 - v**5/40 + v**4/24 + 2*v**2. Let f(q) be the second derivative of h(q). Factor f(c).
-3*(c + 2)*(5*c + 2)/4
Let z be 116/(-10) + (-4)/10. Let s be (3 - 2)/((-2)/z). Factor -s*w - w**4 - w**5 + w**2 + 6*w + w**3.
-w**2*(w - 1)*(w + 1)**2
Let c(w) be the second derivative of -w**8/4200 + w**7/1050 - w**5/150 + w**4/60 + 5*w**3/6 + w. Let v(k) be the second derivative of c(k). Factor v(m).
-2*(m - 1)**3*(m + 1)/5
Let s be 0/((5/15)/((-1)/6)). Factor 1/2*r**2 + r + s.
r*(r + 2)/2
Let n(i) be the third derivative of -i**9/3024 - i**8/1680 + 2*i**3/3 + 4*i**2. Let k(h) be the first derivative of n(h). Find d such that k(d) = 0.
-1, 0
Let w(f) be the first derivative of -2*f**6/3 - 16. Factor w(r).
-4*r**5
Let m(a) be the second derivative of -1/5*a**5 + a**2 + 1/3*a**3 - 2*a + 1/15*a**6 + 1/21*a**7 - 1/3*a**4 + 0. Factor m(g).
2*(g - 1)**2*(g + 1)**3
Let n(i) = -2*i**3 + i**2 - i - 1. Let r be n(-1). Let d be r*5/(225/6). Factor 0*b**2 + 0*b + 0 + 2/5*b**4 - d*b**3.
2*b**3*(b - 1)/5
Let h(b) be the second derivative of b**7/168 + b**6/20 + 13*b**5/80 + b**4/4 + b**3/6 + 13*b. Factor h(j).
j*(j + 1)**2*(j + 2)**2/4
Let v(p) be the first derivative of -49*p**6/27 + 154*p**5/45 - 16*p**4/9 + 8*p**3/27 - 18. Factor v(k).
-2*k**2*(k - 1)*(7*k - 2)**2/9
Let b = 3867/10604 + -1/964. Suppose 2/11*d**3 - b - 2/11*d + 4/11*d**2 = 0. What is d?
-2, -1, 1
Let s(h) be the first derivative of h**4/4 - h**3/6 - 8. Factor s(v).
v**2*(2*v - 1)/2
Find r, given that -8/7 - 12/7*r + 12/7*r**3 + 4/7*r**2 + 4/7*r**4 = 0.
-2, -1, 1
Let d(p) be the third derivative of 0 - 1/630*p**7 + 0*p**3 + 0*p - 1/90*p**6 - 2*p**2 - 1/36*p**5 - 1/36*p**4. Factor d(y).
-y*(y + 1)**2*(y + 2)/3
Let g(l) be the first derivative of -1 - 2/5*l**2 - 1/15*l**3 - 4/5*l. Suppose g(h) = 0. Calculate h.
-2
Let z(a) be the first derivative of -3*a**4/28 + 11*a**3/21 + 2*a**2/7 + 26. Factor z(m).
-m*(m - 4)*(3*m + 1)/7
Let d be (-4)/6 + 2/3. What is a in a**5 - 3*a**5 + 9*a + d*a**4 - 4*a**4 + 4 + 16*a**2 + 4*a**3 + 5*a = 0?
-1, 2
Let p = 0 - -2. Factor -f**2 - 2*f**p + 2*f + f.
-3*f*(f - 1)
Let f(s) be the third derivative of -1/240*s**6 + 0 + 1/12*s**3 - 2*s**2 + 0*s + 1/40*s**5 - 1/16*s**4. Suppose f(x) = 0. What is x?
1
Solve 14*j**5 + 0 + 8/7*j**2 - 8/7*j**3 - 14*j**4 + 0*j = 0 for j.
-2/7, 0, 2/7, 1
Let w(a) be the third derivative of 0*a - 4*a**2 - 1/630*a**7 + 1/360*a**6 + 0*a**3 + 0*a**5 + 0*a**4 + 0. Determine i, given that w(i) = 0.
0, 1
Find q such that -6*q**3 + 22*q**3 + 64*q**4 - 20*q**2 - 68*q**4 + 8*q = 0.
0, 1, 2
Let y(t) be the first derivative of -t**6/36 + t**5/15 - 8. Determine v so that y(v) = 0.
0, 2
Solve 4*g**2 + 4 + 6 - 13 - 4*g - 5 = 0 for g.
-1, 2
Let c = 29 + -27. Let b(v) be the third derivative of 0 - c*v**2 + 1/90*v**6 + 1/36*v**4 + 0*v + 0*v**3 - 1/30*v**5. Factor b(z).
2*z*(z - 1)*(2*z - 1)/3
Let t(a) be the second derivative of 2*a**6/75 + 3*a**5/25 + 2*a**4/15 - a. Factor t(v).
4*v**2*(v + 1)*(v + 2)/5
Let k(x) = 4*x**2 + 4*x - 5. Let g(a) = -3*a**2 - 3*a + 4. Let n(i) = 5*g(i) + 4*k(i). Suppose n(y) = 0. What is y?
-1, 0
Let x = 59 - 56. Let a(s) be the first derivative of -2*s**2 + 2*s + 1 + 2/3*s**x. Suppose a(i) = 0. Calculate i.
1
Let y = 4 + -5. Let m be -1 + (1 - (-3 - y)). Factor o**2 + 2 + 0*o**2 - 2*o**m + o.
-(o - 2)*(o + 1)
Let r(f) be the first derivative of 3*f**6 -