 594/7*f**4 = 0. What is f?
2/3, 1
Let n(a) be the second derivative of 2*a + 7/6*a**3 + 1/10*a**5 + 0 - 7/12*a**4 - a**2. Factor n(v).
(v - 2)*(v - 1)*(2*v - 1)
Let r = -73/6 - -731/60. Let b(o) be the third derivative of 0*o - 3*o**2 + 1/32*o**4 + 1/24*o**3 + 0 - r*o**5. Find i such that b(i) = 0.
-1/4, 1
Let i(v) be the third derivative of v**6/240 - v**5/80 - 3*v**3/2 - 6*v**2. Let k(j) be the first derivative of i(j). Factor k(w).
3*w*(w - 1)/2
Let z(g) be the second derivative of g + 0*g**2 + 1/1620*g**6 + 1/3*g**3 + 0 + 1/108*g**4 + 1/270*g**5. Let v(m) be the second derivative of z(m). Factor v(c).
2*(c + 1)**2/9
Let c = 67 - 200/3. Let -q + 2/3 + c*q**2 = 0. Calculate q.
1, 2
Let r(v) = 5*v**2 - 2*v + 3. Let c(u) = 9*u**2 - 4*u + 5. Let q be (-76)/(-24) + 2/(-12). Let l(t) = q*c(t) - 5*r(t). Suppose l(b) = 0. What is b?
0, 1
Let j(p) be the first derivative of -p**5/20 + p**4/8 - 3*p**2 + 2. Let z(h) be the second derivative of j(h). Find f such that z(f) = 0.
0, 1
Factor 3/2*f**4 - 3*f + 15/2*f**2 + 0 - 6*f**3.
3*f*(f - 2)*(f - 1)**2/2
Let z(y) = -y**2 - 1. Let b(u) = -4*u**4 - 20*u**3 - 28*u**2 - 16*u + 4. Let q(s) = -b(s) - 4*z(s). Let q(j) = 0. What is j?
-2, -1, 0
Find z, given that -5/3*z**2 + 5/3*z**5 - 25/3*z**3 + 5/3*z**4 + 40/3*z - 20/3 = 0.
-2, 1
Let f = 98 + -684/7. Let i = 27 + -24. Determine w, given that -f + 2/7*w**2 - 2/7*w**i + 2/7*w = 0.
-1, 1
Suppose 12 = 14*r - 12*r. Let y(z) be the third derivative of 0 + 0*z + 0*z**4 + 1/40*z**5 + 1/80*z**r + 0*z**3 + 2*z**2. Determine a, given that y(a) = 0.
-1, 0
Let n be ((-14)/(-2) - 2)*1. Solve -2*w**2 - 2*w**3 + 4*w**5 + 0*w**3 + 2*w**4 - 2*w**n = 0.
-1, 0, 1
Let a(h) = -h**2 + 8*h - 6. Let k be a(6). Let c be (1 - 2)/(k/(-18)). Factor 162/7*i**c - 64/7*i - 90/7*i**2 - 8/7.
2*(i - 1)*(9*i + 2)**2/7
Factor -2*i - 3*i + i**2 + 1 + 7*i.
(i + 1)**2
Factor -3*i + 2*i - 6*i**3 + 7*i**3 - i**2 + 1.
(i - 1)**2*(i + 1)
Suppose 0 + 125*w - 128*w - 18 + w**3 + 4*w**2 = 0. Calculate w.
-3, 2
Let l(k) = k**5 - k**4 + k**3 - k**2 - 1. Let a(m) = 6*m**5 - 6*m**4 + 2*m**3 - 4*m**2 + 2*m - 5. Let g(h) = a(h) - 5*l(h). Factor g(z).
z*(z - 2)*(z - 1)*(z + 1)**2
Let k be -1 + 34/(-14) - 776/(-194). Determine v, given that -8/7*v - 5/7*v**2 + k = 0.
-2, 2/5
Let c be 2 + (-14)/21 - 4/3. Factor c + 2/7*o**4 - 2/7*o**2 - 2/7*o**3 + 2/7*o.
2*o*(o - 1)**2*(o + 1)/7
Determine s so that -s - 23 - 3*s**2 + 2*s**2 + 23 = 0.
-1, 0
Let x(v) be the third derivative of 0*v**3 + 1/48*v**4 + 6*v**2 + 0 + 1/240*v**5 - 1/480*v**6 + 0*v. Let x(r) = 0. What is r?
-1, 0, 2
Let r be (-5 + 2)*(-2)/3. Factor 1 - 1 - 1 - 4*g + 3 + 2*g**r.
2*(g - 1)**2
Suppose 0 + 0*p - 4/7*p**5 - 4/7*p**2 + 4/7*p**4 + 4/7*p**3 = 0. What is p?
-1, 0, 1
Let c(x) = -x + 7. Let i be c(-5). Suppose -3*m - 3*j + 2 = 14, m - 3*j - i = 0. Factor -18*q + 19*q + m*q**2 + q**3 - 2*q**2.
q*(q - 1)**2
Let g(x) be the third derivative of -4*x**2 - 4/3*x**3 + 0*x + 0 + 1/15*x**5 - 1/6*x**4. Factor g(q).
4*(q - 2)*(q + 1)
Let j(r) be the third derivative of -r**6/360 + r**5/60 - r**4/24 + r**3/2 - 2*r**2. Let b(z) be the first derivative of j(z). Determine t so that b(t) = 0.
1
Let f(y) be the second derivative of -y**4/12 + y**3 - 2*y**2 - 2*y. Let l be f(5). Suppose 5*w**2 - 2*w + l - w - 3 = 0. What is w?
-2/5, 1
Let k(d) = 36*d**2 - 106*d + 126. Let o(v) = 5*v**2 - 15*v + 18. Let z(r) = -6*k(r) + 44*o(r). Factor z(s).
4*(s - 3)**2
Factor 0*p + 2/21*p**3 + 0 - 2/21*p**2.
2*p**2*(p - 1)/21
Let z(t) = -t + 1. Let p be z(-4). Determine o so that -1/4*o**p + 0 - 1/4*o - o**4 - o**2 - 3/2*o**3 = 0.
-1, 0
Let x(n) = 4*n**2 - 20*n + 19. Let w(u) = -4*u**2 + 20*u - 20. Let k(z) = 3*w(z) + 4*x(z). Factor k(r).
4*(r - 4)*(r - 1)
Let l(a) be the third derivative of -a**7/350 - a**6/60 - 7*a**5/300 + a**4/30 + 2*a**3/15 + a**2. Determine y, given that l(y) = 0.
-2, -1, 2/3
Let y = 586/477 - 18/53. Solve -y*b**2 - 10/9*b - 2/9 = 0 for b.
-1, -1/4
Let r = -32 - 8. Let u be ((-3)/(-4))/((-15)/r). Factor -1/3*b**u + b**3 - 2/3*b + 0.
b*(b - 1)*(3*b + 2)/3
Let j = -13 - -28. Let h(u) = -12*u**4 + 15*u**3 + 27*u**2 + 36*u - 9. Let k(w) = -w**4 + w - 1. Let r(z) = j*k(z) - h(z). Find l such that r(l) = 0.
-2, -1
Let i be 40/22 - 4/(-22). Factor -2*y + 4*y**2 + 0*y + 5*y**3 - y**i.
y*(y + 1)*(5*y - 2)
Let t(f) be the first derivative of -f**7/420 + f**6/180 + f**5/60 - f**4/12 - f**3/3 - 5. Let x(w) be the third derivative of t(w). Factor x(g).
-2*(g - 1)**2*(g + 1)
Let o(s) be the first derivative of -5*s**6/2 - 20*s**5 - 45*s**4 - 80*s**3/3 - 51. Find x, given that o(x) = 0.
-4, -2, -2/3, 0
Solve 1/2*n**4 + 0*n - n**3 + 1/2*n**2 + 0 = 0 for n.
0, 1
Let a(s) = s**3 - 15*s**2 + 2*s - 28. Let v be a(15). Let r(f) be the first derivative of 0*f**v + 0*f**4 + 0*f + 0*f**3 - 1/15*f**5 - 1. Factor r(q).
-q**4/3
Let b(o) = 5*o**5 - 4*o**4 - 3*o**3 + 13*o**2 - 11*o + 3. Let j(g) = g**5 + g**3 - g**2 - g + 1. Let a(u) = -b(u) + 3*j(u). Let a(d) = 0. What is d?
-2, 0, 1, 2
Let s be (-6 - (-22)/3)*(-3)/(-10). Factor s*d**3 + 0*d**2 + 4/5 - 6/5*d.
2*(d - 1)**2*(d + 2)/5
Suppose p + 3*p + 20 = 0, -3*d - 5*p - 19 = 0. Let r(y) = y**2 + y. Let o(j) = j**2 + j. Let x(l) = d*o(l) - 4*r(l). What is s in x(s) = 0?
-1, 0
Let j(w) = -6*w**3 - 2*w**2 + 4*w + 4. Let b(s) = 11*s**3 + 3*s**2 - 7*s - 7. Let l(q) = 4*b(q) + 7*j(q). Factor l(o).
2*o**2*(o - 1)
Let n(z) be the third derivative of 1/390*z**6 + 1/455*z**7 + 0 - 1/39*z**3 - 1/195*z**5 + 0*z + z**2 + 1/2184*z**8 - 1/52*z**4. Factor n(x).
2*(x - 1)*(x + 1)**4/13
Let c(n) be the first derivative of 7*n**4/4 - 5*n**3/3 - 8*n**2 - 4*n - 1. Factor c(o).
(o - 2)*(o + 1)*(7*o + 2)
Let u(p) be the second derivative of p**6/45 - p**5/15 - 2*p**4/9 + 2*p**3/9 + p**2 - 4*p. Determine o, given that u(o) = 0.
-1, 1, 3
Let n = 9 + -13. Let a be (n - -5)*(-1)/(-3). Let -1/3 - i**2 + i + a*i**3 = 0. Calculate i.
1
Let o(z) be the third derivative of z**6/120 + z**5/60 + z**4/24 - z**3/6 + z**2. Let i be o(1). What is f in f**2 - 2*f**i - f**2 = 0?
0
Let b(f) = 5*f**5 + 4*f**4 + f**3 + 6*f**2. Let q(p) be the first derivative of p**6 + 4*p**5/5 + 7*p**3/3 - 5. Let i(n) = -5*b(n) + 4*q(n). Factor i(s).
-s**2*(s + 1)**2*(s + 2)
Let n(x) = x**3 + 10*x**2 + 7*x - 8. Let s be n(-9). Let f = -6 + s. Let 1/4 - t**3 + 3/2*t**2 + 1/4*t**f - t = 0. Calculate t.
1
Let v(n) be the third derivative of -n**8/560 + n**7/70 - n**6/20 + n**5/10 - n**4/8 + n**3/10 + 30*n**2. Factor v(h).
-3*(h - 1)**5/5
Let f be (-6)/14 + 16/21. Factor f*i**2 - 2/3 - 1/3*i.
(i - 2)*(i + 1)/3
Let h(m) be the first derivative of m**5/60 + m**4/12 + m**3/6 + m**2/2 - 1. Let o(y) be the second derivative of h(y). What is j in o(j) = 0?
-1
Let m = 676 + -2026/3. What is l in 4/3*l + 2/3*l**2 + m = 0?
-1
Let x = 2 - 0. Factor -i + 1 + 5*i**4 - 4*i**4 + i**5 - x*i**2 - 2*i**3 + 2*i.
(i - 1)**2*(i + 1)**3
Let s(g) be the first derivative of g**4 + 16*g**3/3 - 6*g**2 - 72*g + 11. Suppose s(d) = 0. Calculate d.
-3, 2
Suppose q**2 - 8*q + 4 + 0*q**2 + 16 - 4 = 0. What is q?
4
Let d(w) = w**2 - w. Suppose 3*x - 6 + 3 = 0. Let v be d(x). Factor -b + 2/3*b**2 + v.
b*(2*b - 3)/3
Let q(m) be the first derivative of 5*m**4/4 + 5*m**3/3 - 5*m**2/2 - 5*m - 1. Factor q(x).
5*(x - 1)*(x + 1)**2
Let o(u) = 0 + 3*u - 3 + 8*u - 2*u**2. Let n(s) = s**2 - 7*s + 2. Let d be 3 + 2 + -3 - -3. Let l(h) = d*o(h) + 8*n(h). Factor l(k).
-(k + 1)*(2*k - 1)
Suppose 13*w + 20 = 18*w. Suppose 0 = -0*x + w*x - 12. Suppose 2/9*i**4 - 2/9*i**x + 0 + 2/9*i - 2/9*i**2 = 0. What is i?
-1, 0, 1
Let u(q) be the first derivative of -q**9/432 - q**8/840 - 8*q**3/3 - 1. Let a(t) be the third derivative of u(t). Factor a(b).
-b**4*(7*b + 2)
Let u = 166 + -163. Factor 4/3*m**4 - 2/3*m + 0 + 2/3*m**5 + 0*m**u - 4/3*m**2.
2*m*(m - 1)*(m + 1)**3/3
Let k(m) = 2*m**3 + 24*m**2 + 70*m + 52. Let r(d) = -6*d**3 - 73*d**2 - 210*d - 157. Let z(j) = -7*k(j) - 2*r(j). Let z(t) = 0. What is t?
-5, -1
Suppose f - 4*q = 6, 0*f - 2*f - q = 24. Let b be 4 - 1*(-36)/f. Factor 0 - 4/5*t**3 + b*t + 7/5*t**2.
-t*(t - 2)*(4*t + 1)/5
Let g(u) = 2*u - 3. Let w be g(3). Factor 0*r**2 - 2*r**2 + 10*r**4 + 4*r**2 + r - 5*r + 16*r**w.
2*r*(r + 1)**2*(5*r - 2)
Let y(v) = -8*v**4 + 2*v**3 - 2*v + 2. Let j(w) = 33*w**4 - 8*w**3 + 9*w - 9. Let m be (36/(-10