 Suppose u = -j + 6. Factor -5*i**3 + 2*i**2 + i**3 + 2*i**j.
-2*i**2*(i - 1)
Let j = -145/4 + 151/4. Find p such that 0*p + 2*p**5 + 0 - j*p**4 + 0*p**2 - 1/2*p**3 = 0.
-1/4, 0, 1
Let d = 26 - 26. Let y(x) be the second derivative of -2*x + 0*x**3 + d - 1/30*x**4 + 0*x**2. Factor y(h).
-2*h**2/5
Let w(c) be the second derivative of 0*c**4 + 1/20*c**5 + 0*c**3 + 0 - 1/30*c**6 - 3*c + 0*c**2. Suppose w(g) = 0. Calculate g.
0, 1
Let c be (372/(-1085))/(4/(-14)). Factor 4/5 - c*k + 2/5*k**2.
2*(k - 2)*(k - 1)/5
Let l(x) = 4*x**3 + 5*x**2 + 6*x - 12. Let n(y) = 5*y**3 + 5*y**2 + 7*y - 13. Let k(g) = 4*l(g) - 3*n(g). Solve k(b) = 0 for b.
-3, 1
Suppose -3*h + 6*k - 3*k + 15 = 0, 5*k = 3*h - 19. Let 2/7*l - 4/7*l**2 - 2/7*l**h + 4/7 = 0. Calculate l.
-2, -1, 1
Let l(d) = d**2 + 3*d - 9. Let y(o) = -2*o**2 - 7*o + 18. Let b(z) = -7*l(z) - 3*y(z). Factor b(w).
-(w - 3)*(w + 3)
Let u be (7*4/112)/((-5)/(-8)). Factor 0 - u*m**5 - 4/5*m**4 - 2/5*m**3 + 0*m + 0*m**2.
-2*m**3*(m + 1)**2/5
Let y(l) = -3*l**5 + l**4 + 3*l**3 - l**2 - 2*l + 2. Let a(t) = -t**4 + t**3 + t**2 - 1. Let m(k) = -6*a(k) - 3*y(k). Find q, given that m(q) = 0.
-1, 0, 2/3, 1
Let n(y) be the second derivative of -1/4*y**2 - y + 1/15*y**6 + 1/8*y**5 - 1/8*y**4 + 0 - 5/12*y**3. Factor n(q).
(q - 1)*(q + 1)**2*(4*q + 1)/2
Let r be 53/(-42) - (-9)/21. Let g = 4/3 + r. Factor g*u + 0 - 1/2*u**2.
-u*(u - 1)/2
Let z = 214/63 - 28/9. Factor -2/7*f - 2/7*f**2 + z + 2/7*f**3.
2*(f - 1)**2*(f + 1)/7
Factor 1/7*y**2 + 1/7 + 2/7*y.
(y + 1)**2/7
Let m = 11 + -6. Let p(b) be the first derivative of 1/5*b**m - 5/4*b**2 + b - 1 - 5/12*b**6 - 2/3*b**3 + 5/4*b**4. What is w in p(w) = 0?
-1, 2/5, 1
Let w(t) be the second derivative of t**5/190 - t**4/57 + t**3/57 + 16*t. Suppose w(f) = 0. Calculate f.
0, 1
Let s(b) be the second derivative of b**7/4200 - b**5/200 + b**4/60 - b**3/6 - 9*b. Let c(p) be the second derivative of s(p). Let c(t) = 0. What is t?
-2, 1
Find y such that -2*y + 17/4*y**3 + 13/4*y**4 + 3/4*y**5 + 3/4*y**2 - 1 = 0.
-2, -1, 2/3
Let l(d) = d + 4. Let k be l(-9). Let j = k - -7. Factor o**4 + j*o**2 + o - 3*o**2 - o**3 + 2*o**3 - 2*o**3.
o*(o - 1)**2*(o + 1)
Let r(w) be the second derivative of w**7/420 + w**2/2 - 3*w. Let o(q) be the first derivative of r(q). Let o(b) = 0. What is b?
0
Determine k, given that 165*k**2 - 16*k + 16 - 322*k**2 + 161*k**2 = 0.
2
Let f = 4 + 1. Suppose -3 = k - 4*x + 10, 0 = -f*k + 4*x - 1. Let -k - 3*o + 7*o - 2*o**2 + 3 = 0. Calculate o.
0, 2
Let k be -3*(-2)/(-54)*-1. Let m(x) be the second derivative of 0*x**2 + 0 - 1/30*x**5 - 3*x - k*x**6 + 0*x**3 + 0*x**4. Factor m(h).
-2*h**3*(5*h + 1)/3
Suppose -2*y + 4 = 2*c, -y = -2*c - 5*y. Let n(w) be the second derivative of 2*w + 0*w**3 + 0 + 1/24*w**c + 3/40*w**5 + 0*w**2. Suppose n(m) = 0. Calculate m.
-1/3, 0
Let h(v) = -v**3 + 8*v**2 + 6*v**3 + 0*v**3 - 7*v. Let j = -9 - -8. Let n(y) = y**3 + y**2 - y. Let c(g) = j*h(g) + 6*n(g). Let c(o) = 0. What is o?
0, 1
Suppose 0*c - 3*c + q + 14 = 0, 4*q + 8 = -4*c. Let j(b) be the third derivative of 0 + 0*b**c + 1/24*b**4 + 2*b**2 + 1/24*b**5 + 0*b. Factor j(y).
y*(5*y + 2)/2
Suppose v = -2*v - 15. Let q(i) = -5*i**3 - 6*i**2 + 5*i + 6. Let t(k) = -3*k**3 - 4*k**2 + 3*k + 4. Let o(u) = v*q(u) + 8*t(u). Solve o(g) = 0 for g.
-1, 1, 2
Solve -s - 1/3*s**2 - 2/3 = 0 for s.
-2, -1
Factor -3/2*v**2 - 243/2 - 27*v.
-3*(v + 9)**2/2
Determine p, given that 16*p - 100*p**3 - 280/3*p**2 + 500/3*p**4 + 32/3 = 0.
-2/5, 2/5, 1
Let q(k) = -k**2 - 4*k + 9. Let v be q(-7). Let r be 1/v*(-6)/2. What is g in r*g**2 - 1/4*g + 0 = 0?
0, 1
Let u(k) = -k**4 - 4*k**3 - k**2 + 6*k - 4. Let y(q) = -q**4 - 3*q**3 + 5*q - 3. Let t(g) = -3*u(g) + 4*y(g). Suppose t(m) = 0. Calculate m.
-1, 0, 2
Let a(h) be the first derivative of -3*h**7/112 - 7*h**6/180 - h**5/60 + h**3 + 2. Let m(c) be the third derivative of a(c). Find t such that m(t) = 0.
-2/5, -2/9, 0
Let g = -772 - -775. Factor -2/5*c - 4/5 + 4/5*c**2 + 2/5*c**g.
2*(c - 1)*(c + 1)*(c + 2)/5
Let r = -19 + 24. Let j = r + -2. Factor 2/7*u + 2/7 - 2/7*u**2 - 2/7*u**j.
-2*(u - 1)*(u + 1)**2/7
Let c(h) be the second derivative of -2*h + 1/120*h**5 + 0*h**4 - 1/12*h**3 + 0 + h**2. Let j(f) be the first derivative of c(f). Factor j(x).
(x - 1)*(x + 1)/2
Let s = 1 - 1. Let c(t) be the second derivative of -1/6*t**4 - 1/5*t**5 + s*t**3 + 2*t - 1/15*t**6 + 0 + 0*t**2. Find d such that c(d) = 0.
-1, 0
Let u be (0 - (-1 + -2))*-1. Let a be (1 - (4 + u))/1. Factor -h**3 - 2/5*h**2 + a + 0*h.
-h**2*(5*h + 2)/5
Let b(f) = -f**5 + 5*f**4 - 6*f**3 + f**2 + f + 3. Let p(d) = -d**5 + d**4 + d**2 - d + 1. Let l(z) = b(z) - 3*p(z). Factor l(w).
2*w*(w - 1)**2*(w + 1)*(w + 2)
Let c(x) be the first derivative of -98*x**5/65 - 63*x**4/13 - 218*x**3/39 - 36*x**2/13 - 8*x/13 - 5. Factor c(p).
-2*(p + 1)**2*(7*p + 2)**2/13
Let 1/2 + 7/4*p - 7/4*p**3 - 1/2*p**2 = 0. Calculate p.
-1, -2/7, 1
Suppose -3*n = -n. Suppose n = 5*w - 3 - 7. Solve 2*z - z**5 + 0 + 1 + 2*z**2 + z - 3*z**4 - w*z**3 = 0 for z.
-1, 1
Suppose 0*u + 0 + 0*u**2 + 3/2*u**3 = 0. Calculate u.
0
Let o(q) be the third derivative of q**11/498960 - q**9/90720 + q**5/15 - 4*q**2. Let c(l) be the third derivative of o(l). Factor c(s).
2*s**3*(s - 1)*(s + 1)/3
Suppose 57*y = 51*y. Factor 2/7*q**3 + 0 - 2/7*q**2 + y*q.
2*q**2*(q - 1)/7
Let i = -7228 - -1163747/161. Let m = i - -1/23. Suppose 0 + 8/7*t**3 - 4/7*t + m*t**2 - 6/7*t**4 = 0. Calculate t.
-2/3, 0, 1
Let f(r) be the first derivative of r**6/8 + 2*r**5/5 + 7*r**4/16 + r**3/6 - 11. Factor f(g).
g**2*(g + 1)**2*(3*g + 2)/4
Let n(f) be the third derivative of f**6/30 - f**5/15 - f**4/3 - 2*f**2. Factor n(r).
4*r*(r - 2)*(r + 1)
Suppose 4*c + 4*t = 0, -3*c + 2*t = -2*t. Let z(u) be the second derivative of 0 + 1/6*u**4 + c*u**2 + 7/50*u**5 - 2/15*u**3 - 2*u. Factor z(f).
2*f*(f + 1)*(7*f - 2)/5
Let c(a) = -2*a**3 + 3*a**2 + 9*a + 4. Let d(g) = -10*g**3 + 14*g**2 + 44*g + 20. Let h(j) = 14*c(j) - 3*d(j). Suppose h(x) = 0. Calculate x.
-1, 2
Factor -3/4*n - 1/4*n**2 - 1/2.
-(n + 1)*(n + 2)/4
Suppose 4*p = -5*r - 8, r + r - 4*p - 8 = 0. Suppose r = -0*y - y. Suppose -3 + 3*n**2 - n**2 + 7 + 6*n + y = 0. What is n?
-2, -1
Let d(h) be the first derivative of -4*h**3 + 39*h**2/2 - 9*h - 14. Factor d(l).
-3*(l - 3)*(4*l - 1)
Let o(q) = -11*q**2 + 94*q - 679. Let p(k) = -13*k**2 + 95*k - 680. Let y(l) = 5*o(l) - 4*p(l). What is h in y(h) = 0?
15
Factor -48 - 28*c - 11*c - 3*c**2 + 15*c.
-3*(c + 4)**2
Let t be (6/20)/(3/(-8)*-2). Determine v so that -2*v**2 + 0 + 2/5*v**4 + 6/5*v**3 + 4/5*v - t*v**5 = 0.
-2, 0, 1
Let b(z) = z - 1. Let t be b(5). Suppose 0 = -3*i + p + p + 13, 0 = -t*i + 3*p + 17. Factor -2 - s**i + 2 - s**3 - 2*s**4.
-s**3*(s + 1)**2
Let o = 63/2 - 31. Let z(i) be the first derivative of 1/3*i**3 - i**5 - 1/3*i**6 - 3/4*i**4 + o*i**2 + 0*i + 1. Find g such that z(g) = 0.
-1, 0, 1/2
Let r(y) = y**2 + 4*y - 1. Let c be r(-5). Factor -f**5 + 2*f**5 + f**3 - 2*f**5 - f**c + f**2.
-f**2*(f - 1)*(f + 1)**2
Let z = -2954 + 11579/4. Let l = -59 - z. Find d such that 1/4*d**3 + 0 + 0*d - l*d**2 = 0.
0, 1
Let u be (-21)/27*(2 + (-80)/35). Suppose 2/9*d**2 - u*d + 0 = 0. What is d?
0, 1
Let o(r) be the first derivative of -7*r**4/2 - 6*r**3 + 12*r**2 + 8*r + 14. What is d in o(d) = 0?
-2, -2/7, 1
Let h(a) be the first derivative of -3*a**5/35 + 3*a**4/28 + a**3/7 - 3*a**2/14 + 17. Factor h(o).
-3*o*(o - 1)**2*(o + 1)/7
Solve 0 + 8/5*n**2 + 4/5*n + 4/5*n**3 = 0.
-1, 0
Factor 4/5*i + 8/5 - 4/5*i**2.
-4*(i - 2)*(i + 1)/5
Find g, given that 5/3*g**2 - 4/3*g**3 - 2/3*g + 1/3*g**4 + 0 = 0.
0, 1, 2
Let u(i) be the first derivative of -49*i**6/33 - 238*i**5/55 - 67*i**4/22 + 46*i**3/33 + 16*i**2/11 - 8*i/11 - 4. Factor u(a).
-2*(a + 1)**3*(7*a - 2)**2/11
Let s = 529 + -21159/40. Let w(d) be the second derivative of -1/24*d**4 + 0 - 1/12*d**3 - d + 1/4*d**2 + s*d**5. Factor w(l).
(l - 1)**2*(l + 1)/2
Let n(j) = -2*j**5 - 9*j**4 + 4*j**3 + 3*j**2 + j - 3. Let q(x) = x**5 + 7*x**4 - 3*x**3 - 3*x**2 + 2. Let b(f) = -2*n(f) - 3*q(f). Let b(c) = 0. What is c?
-1, 0, 1, 2
Let p(l) be the second derivative of l**7/10080 + l**6/1440 + l**5/480 - 7*l**4/12 - 8*l. Let q(d) be the third derivative of p(d). Let q(y) = 0. What is y?
-1
Let w be (-38)/(-7) - (-111)/(-259