b + 0*i + 0*i**2 + 0*i**4 + 2/7*i**5 - 2/7*i**3.
2*i**3*(i - 1)*(i + 1)/7
Let s(g) be the first derivative of 6*g - 3/2*g**2 + 18 - g**3. Factor s(p).
-3*(p - 1)*(p + 2)
Let s be (-26)/(-12) + 13 + (-123)/9. Find z, given that -15/2*z - 6*z**2 - s = 0.
-1, -1/4
Let y be 9/15 - (15/20 - (-11)/(-20)). Let -y*g**2 - 8/5 - 8/5*g = 0. What is g?
-2
Let b(t) be the first derivative of 0*t + 0*t**2 + 1/25*t**5 - 1/5*t**3 + 1/10*t**4 - 15. Factor b(j).
j**2*(j - 1)*(j + 3)/5
Suppose 192 = -4*h + 40. Let r be (h/12 - -4)/((-2)/(-6)). Suppose -5/2*u**4 - 5*u**3 - 1/2*u**5 - 5*u**2 - 1/2 - r*u = 0. Calculate u.
-1
Factor 8 - 38/15*m + 2/15*m**2.
2*(m - 15)*(m - 4)/15
Let x(s) be the third derivative of -1/300*s**5 + 0*s + 0 + 1/600*s**6 + 36*s**2 + 0*s**3 + 0*s**4. Factor x(f).
f**2*(f - 1)/5
Let o(b) = -b**3 - 7*b**2 + 9*b + 12. Let x be o(-8). Solve p**5 - p - x*p**5 - 2*p + 3*p**3 + 3*p**3 = 0 for p.
-1, 0, 1
Let r(j) be the first derivative of 10/3*j**3 + 25/2*j**2 - 15*j + 11 - 15/2*j**4 + j**5 + 5/6*j**6. Factor r(m).
5*(m - 1)**3*(m + 1)*(m + 3)
Let t(r) be the first derivative of 36*r**5/5 - 13*r**4 - 20*r**3/3 + 26*r**2 - 16*r - 45. Determine j so that t(j) = 0.
-1, 4/9, 1
Let n(f) be the first derivative of 1/21*f**6 + 0*f**2 + 0*f**3 + 4/35*f**5 + 0*f + 0*f**4 + 2. Solve n(m) = 0 for m.
-2, 0
Determine z, given that 30 - 7*z**2 + z**2 + 0*z**2 + 7*z**2 - 17*z = 0.
2, 15
Let k be 26/8 - 87/464*-4. Factor 0*s + 1/2*s**k + 1/8*s**5 + 0 + 0*s**2 + 1/2*s**3.
s**3*(s + 2)**2/8
Determine p so that 3*p**4 + p**5 - 14*p**4 + 36*p**3 - p**4 = 0.
0, 6
Suppose 2*a = 2*k - 12, -4*a + 9*a = -5*k + 50. Suppose 3*q + k = 5*q. Solve -9*g**4 - g**q + g**4 + 2*g**3 + 0*g**3 = 0 for g.
0, 2/9
Let x(b) = 41*b**5 - 3*b**4 + 5*b**3 + 5*b**2 + 5. Let s(r) = -42*r**5 + 2*r**4 - 6*r**3 - 6*r**2 - 6. Let o(z) = 5*s(z) + 6*x(z). Suppose o(n) = 0. What is n?
0, 2/9
Let i(d) = 2*d**2 + 6*d - 3. Let p(y) = y**2. Let m(q) = i(q) - 5*p(q). Factor m(z).
-3*(z - 1)**2
Let c(b) be the first derivative of b**5/60 + b**4/24 - 4*b**2 - 5. Let f(p) be the second derivative of c(p). Factor f(z).
z*(z + 1)
Factor -1253*s**2 + 21 + 631*s**2 + 625*s**2 - 24*s.
3*(s - 7)*(s - 1)
Suppose -i + 2*i - 4*c + 14 = 0, 8 = 4*c. Let y be 3/i + 5/2. Factor n**3 - 5*n**2 + 4*n**y - 3*n + 2*n - n.
n*(n - 2)*(n + 1)
Let h be 13 - (4 - 14)*((-35)/14 + 3). Factor -8*a + 8/9 + h*a**2.
2*(9*a - 2)**2/9
Factor 0 + 2/11*s**4 + 0*s + 94/11*s**3 + 92/11*s**2.
2*s**2*(s + 1)*(s + 46)/11
Let v be -3 - (-8 + -9 + 10). Let m(j) be the first derivative of -4*j**3 - 3/4*j**v + 0*j - 3 - 6*j**2. Factor m(x).
-3*x*(x + 2)**2
Suppose 3*a - 4*a + 2 = 0. Factor -a*u**2 + 3*u**3 + 2*u - u**3 - 4*u + 2.
2*(u - 1)**2*(u + 1)
Let m(z) be the first derivative of -z**7/3360 + z**6/720 - z**5/480 + 4*z**3/3 - 2. Let f(y) be the third derivative of m(y). Suppose f(v) = 0. Calculate v.
0, 1
Let h be (1/(-3))/((-11)/66). Let -2*s - h*s**3 + s**3 + 3*s = 0. Calculate s.
-1, 0, 1
Factor 32/3*d - 88/9 - 10/3*d**2 + 2/9*d**3.
2*(d - 11)*(d - 2)**2/9
Let q(g) = 40*g**2 - 261*g + 101. Suppose 14*h = 5*h + 45. Let b(x) = 100*x**2 - 652*x + 252. Let r(i) = h*b(i) - 12*q(i). Let r(u) = 0. What is u?
2/5, 6
Let v = 449 - 897/2. Let h(q) be the second derivative of -v*q**2 + 4*q + 0 + 1/4*q**3 - 1/24*q**4. Factor h(i).
-(i - 2)*(i - 1)/2
Let r(z) be the first derivative of -z**3/6 - 109*z**2/2 - 11881*z/2 + 236. Factor r(v).
-(v + 109)**2/2
Let h(i) be the first derivative of 13 - 1/2*i**4 - 44/15*i**3 - 16/5*i - 28/5*i**2. Determine q, given that h(q) = 0.
-2, -2/5
Let y(b) be the second derivative of 5*b**7/42 - b**6/2 + b**5/2 + 5*b**4/6 - 5*b**3/2 + 5*b**2/2 + 4*b - 10. Factor y(c).
5*(c - 1)**4*(c + 1)
Let n be 1/(-1)*0/(-3 - 1). Factor n*r - 5 + 15*r**2 - 2*r - 13*r**2 + 1.
2*(r - 2)*(r + 1)
Let d(v) be the second derivative of -v**4/12 - 52*v**3/3 - 1352*v**2 + 64*v. Factor d(p).
-(p + 52)**2
Let c(n) = -15*n**5 - 45*n**4 - 165*n**3 - 120*n**2 + 5. Let d(k) = -4*k**5 + k**3 + 1. Let b(q) = -c(q) + 5*d(q). Solve b(i) = 0 for i.
-2, -1, 0, 12
Suppose -20 + 128/5*w**5 - 934/5*w**2 + 224/5*w**4 - 122*w - 328/5*w**3 = 0. What is w?
-5/4, -1, -1/4, 2
Let q = 22 - -3. Let o = q - 23. Determine s so that 0 - 1/3*s - 1/3*s**o = 0.
-1, 0
Solve 48*q**4 + 224/13*q**3 - 992/13*q**2 + 126/13*q**5 + 160/13*q + 128/13 = 0 for q.
-4, -2, -2/7, 2/3
Factor 1920*q + 6*q**3 - 3*q**3 + 152 - 168*q**2 - 3352 + q**3.
4*(q - 20)**2*(q - 2)
Let v(m) = -m**3 + 5*m**2 + 6*m - 1. Let p be v(6). Let x be ((-17)/(-34))/(p/(-6)). Suppose -10 + i**x - i**5 - 2*i**2 + 2*i**4 + 10 = 0. What is i?
-1, 0, 1, 2
Let h(z) be the second derivative of -z**5/20 - 3*z**4/4 - 5*z**3/2 + 25*z**2/2 + 54*z. Find a, given that h(a) = 0.
-5, 1
Let -4/3*v**2 - 32*v + 0 = 0. What is v?
-24, 0
Determine g so that -8/9*g + 0 - 2/3*g**2 + 2/9*g**3 = 0.
-1, 0, 4
Suppose 1/2*b**2 + 0 - 29*b = 0. What is b?
0, 58
Let f(r) be the second derivative of 11*r**6/30 + 53*r**5/20 + 13*r**4/2 + 14*r**3/3 - 4*r**2 + 6*r + 6. Factor f(v).
(v + 1)*(v + 2)**2*(11*v - 2)
Solve 4/5*p**3 - 68/5*p**4 + 4*p**5 + 0 - 24/5*p + 68/5*p**2 = 0.
-1, 0, 2/5, 1, 3
Let d = 1 + 2. Suppose 2*p - d = 5. Suppose -n**5 - 6*n**4 - n**2 - 3*n**3 + 4*n**p - n**4 + 0*n**3 = 0. Calculate n.
-1, 0
Factor -6 - 3*j**3 + 9/2*j**2 + 1/2*j**4 + 2*j.
(j - 3)*(j - 2)**2*(j + 1)/2
Let w be (-84)/(-210)*(90/32)/1*2. Factor 3/4*f**4 + 0*f + 3/2*f**2 + w*f**3 + 0.
3*f**2*(f + 1)*(f + 2)/4
Let m be 1/(-5)*30/(-4). Let b be 1*6 + (5 - -1 - (-270)/(-60)). Factor b*t**2 - 9/2*t**3 - 3/2 - m*t.
-3*(t - 1)**2*(3*t + 1)/2
Let x(g) = g**4 - 12*g**3 + 3*g**2 - 8. Let t(u) = 2*u**4 - 26*u**3 + 6*u**2 - 18. Let q(m) = -4*t(m) + 9*x(m). Factor q(n).
n**2*(n - 3)*(n - 1)
Let k(m) = 4*m**2 - 6*m - 4. Suppose -2*p + 3 = p. Let s be (9/3 - 5)/(2/(-6)). Let g(r) = -r**2 + r + 1. Let c(q) = p*k(q) + s*g(q). Solve c(b) = 0 for b.
-1, 1
Let r(y) be the third derivative of y**7/945 + y**6/108 - 13*y**5/270 + 7*y**4/108 - 2*y**2 - 3. Solve r(n) = 0 for n.
-7, 0, 1
Let k = 33826 + -238823/7. Let j = k - -292. Factor 9/7*s + j - 12/7*s**2.
-3*(s - 1)*(4*s + 1)/7
Let c(z) = -z - 24. Let o be c(-11). Let x = o - -23. Factor 4*h**2 + 2 + x + 16*h + 4 + 0.
4*(h + 2)**2
Suppose -25*p + 26*p = -5*i - 13, p - 3*i - 11 = 0. Factor 4/3 + 8/3*d + 4/3*d**p.
4*(d + 1)**2/3
Let x(d) = -5*d**2 + 8*d + 3. Let i(o) be the third derivative of -o**4/24 - 24*o**2. Let s(t) = 6*i(t) + x(t). Factor s(g).
-(g - 1)*(5*g + 3)
Let r(t) be the third derivative of -t**8/336 + 16*t**7/315 - 2*t**6/45 - 7*t**5/30 + 19*t**4/72 + 5*t**3/9 + 7*t**2 - 33. Solve r(p) = 0.
-1, -1/3, 1, 10
Let r be 4/10 + -1*148/(-30). Let d(x) be the second derivative of -2/5*x**5 + x - r*x**3 + 1/30*x**6 + 2*x**4 + 0 + 8*x**2. Factor d(m).
(m - 2)**4
Let h be 3/1 + (-63)/21. Solve 254 + 4*w + w**2 - 254 + h*w = 0.
-4, 0
Let i = 71 + -70. Let c be -1*(8/(-6) + i). Determine y so that -2/3*y**4 + 0 - 1/3*y**5 + 0*y + 0*y**2 - c*y**3 = 0.
-1, 0
Let g(h) be the third derivative of -h**6/60 + 7*h**5/30 - 5*h**4/6 + 55*h**2. Find x such that g(x) = 0.
0, 2, 5
Factor 3/5*l**3 + 0*l + 9/5*l**2 + 0 + 1/5*l**5 - l**4.
l**2*(l - 3)**2*(l + 1)/5
Let x(q) be the first derivative of q**4/42 + 2*q**3/21 + q**2/7 - 8*q + 15. Let k(s) be the first derivative of x(s). Factor k(j).
2*(j + 1)**2/7
Suppose 2*a + 17 - 25 = 0. Solve 10*f - 2*f - 801 - a*f**2 + 813 = 0 for f.
-1, 3
Let r = 17 + -24. Let l be (r/3)/((-3)/9). Determine j so that 1 + 15*j**2 - 14*j + 7 - l*j - 2 = 0.
2/5, 1
Let g(l) = -l**2 - 7*l - 7. Let h be g(-6). Let b = h - -2. Factor 4*d + 8*d**2 + b - 10*d**2 - 1.
-2*d*(d - 2)
Find i such that -1/6*i**4 - 12*i**2 - 47/3*i - 3*i**3 - 13/2 = 0.
-13, -3, -1
Suppose 4*r**4 + 29*r**2 + 14*r**3 + r**4 + 16*r**3 + 11*r**2 - 5*r**3 + 20*r = 0. Calculate r.
-2, -1, 0
Let m(i) be the third derivative of 5*i**6/144 - i**5/3 - 19*i**4/16 - 3*i**3/2 - 20*i**2 + 4*i. Find a, given that m(a) = 0.
-3/5, 6
Let c(h) be the third derivative of 5*h**7/63 + 13*h**6/18 + 109*h**5/90 - 13*h**4/3 + 4*h**3 + 160*h**2. Factor c(m).
2*(m + 3)**2*(5*m - 2)**2/3
Suppose 0 = l + 2*g - 10, -3*l + g = -1 - 1. Suppose l*a - 15 = -3*a. Factor 4*r**3 - r**a - 3*r**4 + 9*r + 12*r**2 + 3*r**2.
-3*r*(r - 3)*(r + 1)**2
Let p(l) = l**3 - 17*l**2 +