*2 + 3*b + 2. Let p(s) = t*v(s) + 3*a(s). Factor p(x).
(x - 2)*(x - 1)*(x + 1)**2
Let x(v) be the first derivative of v**4 - 4*v**3 + 4*v**2 - 24. Determine i so that x(i) = 0.
0, 1, 2
Factor -6/5*w + 3*w**2 + 3/5*w**4 - 12/5*w**3 + 0.
3*w*(w - 2)*(w - 1)**2/5
Determine m so that -4 + 4*m**3 - 9 + 12*m**2 - 3 = 0.
-2, 1
Suppose -3 = 2*y - 9. Let 1/3*s**y + 2/3 - 2/3*s**2 - 1/3*s = 0. What is s?
-1, 1, 2
Let a(d) be the third derivative of -d**6/18 + d**5/4 - 5*d**4/36 + 10*d**2. Factor a(n).
-5*n*(n - 2)*(4*n - 1)/3
Let r(o) = o - 8. Let z be r(8). Let w(v) be the first derivative of -1/5*v**5 + 0*v**2 + 2/3*v**3 - 2 - v + z*v**4. Find m, given that w(m) = 0.
-1, 1
Factor 9/2*h - 3/4*h**2 - 27/4.
-3*(h - 3)**2/4
Let v be ((-952)/408)/(14/(-4)). Suppose -1/3 + v*u - 1/3*u**2 = 0. Calculate u.
1
Let q(w) = -3*w**2 + 2*w + 7. Let k(y) = 2*y**2 - 3*y - 8. Let m(d) = -2*k(d) - 3*q(d). Determine f so that m(f) = 0.
-1, 1
Let u(l) = l + l**3 - 4*l**3 - 3 + l**2 - 3*l**2 + 2*l. Let h(p) = 3*p**3 + 3*p**2 - 3*p + 3. Let c(n) = -5*h(n) - 6*u(n). Factor c(b).
3*(b - 1)**2*(b + 1)
Let -6/7*u**2 - 2/7*u**5 + 0 + 0*u - 2*u**3 - 10/7*u**4 = 0. Calculate u.
-3, -1, 0
Suppose -11*m = -14*m. Factor -1/3*i**2 + m + 0*i.
-i**2/3
Let g be (50/(-5))/(2 + 0) + 5. Suppose 0 + 4/15*q**2 - 6/5*q**3 + g*q = 0. Calculate q.
0, 2/9
Determine s, given that 47*s**4 - 100*s**5 + 73*s**4 + 168*s**3 - 24*s**3 + 32*s**2 = 0.
-2/5, 0, 2
Let n = -4 + 8. Let s be (-9)/(-26) - ((-8)/(-13))/(-4). Determine d so that 3/2*d**3 - d + 0 + s*d**2 - 1/2*d**n - 1/2*d**5 = 0.
-2, -1, 0, 1
Let l(g) be the second derivative of g**4/60 + g**3/15 + 4*g. Suppose l(y) = 0. What is y?
-2, 0
Let d be ((-4)/(-6))/((-1)/(-3)). Suppose -5*p - 3 = 2*j + 8, 2*j = -2*p - 2. Determine a so that 0*a**d + 0*a**j + 2*a**2 = 0.
0
Let w(p) be the third derivative of 1/72*p**4 + 0 + 0*p + 0*p**3 + 1/180*p**5 - 2*p**2. Factor w(m).
m*(m + 1)/3
Let w(i) = i**3 + 7. Let q be w(0). Let s(x) = -x + 10. Let z be s(q). Solve -2*b**z + 10*b**4 + b**3 - 11*b**4 = 0.
-1, 0
Factor -7*d**2 + 3*d**3 - 8*d - 11*d**2 + 5*d**3 - 10*d**2 + 28*d**4.
4*d*(d - 1)*(d + 1)*(7*d + 2)
Let y(l) = l**2 + 8*l + 10. Let p be y(-7). Let d(o) be the second derivative of 1/6*o**p - 1/60*o**6 + 0 + 1/4*o**2 - 2*o + 0*o**4 - 1/20*o**5. Factor d(a).
-(a - 1)*(a + 1)**3/2
Let r(d) be the second derivative of 9*d + 1/100*d**5 + 0*d**2 + 1/20*d**4 + 0 + 1/15*d**3. Factor r(j).
j*(j + 1)*(j + 2)/5
Let b(k) be the third derivative of -k**8/6720 + k**6/720 + 5*k**4/24 - 6*k**2. Let t(j) be the second derivative of b(j). Determine p so that t(p) = 0.
-1, 0, 1
Let m(d) be the third derivative of d**8/2240 - d**7/840 - d**6/120 - d**4/6 - 3*d**2. Let c(v) be the second derivative of m(v). What is l in c(l) = 0?
-1, 0, 2
Suppose 9 = -6*m + 5*m - 5*k, -5*m = k - 27. Let c(d) be the third derivative of 2/21*d**3 - 1/28*d**4 + 1/420*d**m + 4*d**2 + 0*d**5 + 0*d + 0. Factor c(l).
2*(l - 1)**2*(l + 2)/7
Find h, given that 0 + 4/5*h + 18/5*h**4 - 22/5*h**2 + 24/5*h**3 = 0.
-2, 0, 1/3
Factor -2/9*t**3 + 0*t - 8/9*t**5 - 10/9*t**4 + 0*t**2 + 0.
-2*t**3*(t + 1)*(4*t + 1)/9
Let y(q) be the second derivative of q**6/84 + 2*q**5/35 + 3*q**4/28 + 2*q**3/21 - q**2 - 6*q. Let v(c) be the first derivative of y(c). Factor v(h).
2*(h + 1)**2*(5*h + 2)/7
Factor 0 + 256/5*z**2 + 16/5*z**4 - 1/5*z**5 - 96/5*z**3 - 256/5*z.
-z*(z - 4)**4/5
Let r be (-3 + -6 - -8)*0. Factor -1/6*m**3 + 1/6*m**4 + 0*m**2 + 0*m + r.
m**3*(m - 1)/6
Factor -32*g**4 + 27/2 + 40*g**3 - 81/2*g + 18*g**2.
-(g + 1)*(4*g - 3)**3/2
Suppose 0*q**3 + 1/4*q**4 - 2*q - 3/4 - 3/2*q**2 = 0. What is q?
-1, 3
Let j(s) be the first derivative of s**7/525 - s**6/100 + s**5/50 - s**4/60 - s**3 + 2. Let a(v) be the third derivative of j(v). Factor a(l).
2*(l - 1)**2*(4*l - 1)/5
Let m(i) = i - 5. Suppose 0 = 4*v + w - 19, -3*w + 21 = 5*v + w. Let s be m(v). Factor 3/4*k**3 + s*k**4 + 0*k - 3/4*k**5 + 0 + 0*k**2.
-3*k**3*(k - 1)*(k + 1)/4
Let k(a) be the third derivative of -a**9/272160 + a**7/7560 + a**6/1620 - a**5/20 + a**2. Let s(b) be the third derivative of k(b). Factor s(x).
-2*(x - 2)*(x + 1)**2/9
What is p in 18/13*p + 12/13*p**2 + 8/13 + 2/13*p**3 = 0?
-4, -1
Let k be (9/27)/((-28)/(-63)). Factor 0 - k*t + 3/4*t**3 + 0*t**2.
3*t*(t - 1)*(t + 1)/4
Suppose 18 = 4*i - i. Let z(p) be the second derivative of 3/20*p**5 - 1/12*p**4 + 0 - 1/10*p**i - p + 0*p**2 + 0*p**3 + 1/42*p**7. Factor z(w).
w**2*(w - 1)**3
Let d = 37/105 + 1/21. Factor 0*l**2 + 0*l + 4/5*l**5 + 0 - 2/5*l**4 - d*l**3.
2*l**3*(l - 1)*(2*l + 1)/5
Let g(a) be the first derivative of a**6/30 - a**4/12 + 2*a + 1. Let q(j) be the first derivative of g(j). Factor q(z).
z**2*(z - 1)*(z + 1)
Let x be 16/(-6)*(-15)/(-4). Let c(t) = -3*t - 27. Let m be c(x). Suppose -2/9*u**m + 0*u + 2/9*u**2 + 0 = 0. Calculate u.
0, 1
Let j = 1 + -6. Let c = j + 5. Find k, given that 2*k**4 - 3*k**3 + c - 4*k - 2 + 6*k**3 + k**3 = 0.
-1, 1
Let p(i) be the first derivative of -i**4/30 + 4*i**3/15 - 4*i**2/5 - 3*i - 9. Let s(d) be the first derivative of p(d). Factor s(l).
-2*(l - 2)**2/5
Let d(y) = -y**4 + 3*y**3 - 3*y**3 + y**3 + y - 1. Let u(l) = 2*l - 15*l**2 + 9*l**2 - 3 + 9*l**2 - 2*l**4. Let r(s) = -3*d(s) + u(s). Let r(t) = 0. What is t?
0, 1
Let a(f) = f**2 + 2*f - 2. Let u be a(-3). Let i be -2*(1 + (-2)/u). Factor t**i + 0*t**2 + t - 1 - t**3 + 0*t.
-(t - 1)**2*(t + 1)
Factor 1/3*s**5 - 5*s**3 - 2*s - 17/3*s**2 + 0 - s**4.
s*(s - 6)*(s + 1)**3/3
Let h be 8/20 - 2/(-10). Let g = 43/55 - h. Factor 0 + 0*o**2 - g*o**3 + 2/11*o.
-2*o*(o - 1)*(o + 1)/11
Let j(k) be the third derivative of k**5/300 + k**4/60 + 16*k**2. Find a such that j(a) = 0.
-2, 0
Let y(k) be the second derivative of k**6/5 + k**5/10 - k**4/2 - k**3/3 + 3*k. Solve y(a) = 0.
-1, -1/3, 0, 1
Let t be (1/(-4))/(225/5330). Let w = -57/10 - t. Factor 0*d - 8/9 + w*d**2.
2*(d - 2)*(d + 2)/9
Let s = -3 + 6. Suppose s - 5 = -x. Find q such that -2/7*q**x + 0 - 2/7*q = 0.
-1, 0
Determine h, given that -14/9*h**2 + 4/9*h + 10/9*h**3 + 0 = 0.
0, 2/5, 1
Let r(z) be the third derivative of z**6/30 + 2*z**5/15 - z**4/6 - 4*z**3/3 + 3*z**2. Determine c, given that r(c) = 0.
-2, -1, 1
Suppose j = -3*j + 84. Let r be ((-12)/j)/(4/(-14)). Factor -2/3*c - 2/3*c**3 - 4/3*c**r + 0.
-2*c*(c + 1)**2/3
Suppose g + 3*g + 64 = 0. Let r be ((-4)/8)/(2/g). Factor 1/4*f**5 - 1/2*f**r + 0 + 1/4*f**3 + 0*f**2 + 0*f.
f**3*(f - 1)**2/4
Suppose 6 - 13*i**2 + 25*i + 5*i**3 + 33*i**2 + 4 = 0. What is i?
-2, -1
Suppose -4*l = -5*c - 9, 5*c + 17 = -2*l + 4*l. Let h(u) = 13*u**2 - 9*u - 4. Let d(m) = -3*m**2 + 2*m + 1. Let j(g) = l*h(g) - 18*d(g). Factor j(r).
2*(r - 1)*(r + 1)
Let k(u) be the third derivative of 5*u**8/672 - 17*u**7/420 + 7*u**6/80 - 11*u**5/120 + u**4/24 - 10*u**2. Determine v, given that k(v) = 0.
0, 2/5, 1
Let c(l) be the second derivative of -l**4/36 - 5*l**3/9 - 25*l**2/6 - l. Factor c(w).
-(w + 5)**2/3
Let o(c) = -c**3 + 10*c**2 + 2*c - 1. Let b be o(10). Let m = -19 + b. Determine g so that 0 - 2/5*g**3 + m*g + 0*g**2 = 0.
0
Let x(o) = 2*o**2 - 6*o. Let b be x(4). Let k be b/(-360) - 4/(-18). Find a, given that 0*a + 0 + 1/5*a**5 - 1/5*a**2 - k*a**3 + 1/5*a**4 = 0.
-1, 0, 1
Factor 3*p**2 - 6*p**2 + 4*p - 12*p + p**2.
-2*p*(p + 4)
Let c(t) be the second derivative of t**4/42 - t**3/21 - 6*t**2/7 - 57*t. Factor c(l).
2*(l - 3)*(l + 2)/7
Let n(j) be the second derivative of 0 + 1/12*j**4 + 0*j**2 - j - 1/6*j**3. Let n(h) = 0. Calculate h.
0, 1
Let v(r) be the first derivative of -r**6/30 + r**4/10 - r**2/10 - 14. Let v(q) = 0. Calculate q.
-1, 0, 1
Let k(t) be the third derivative of -t**6/300 - t**5/150 + t**4/60 + t**3/15 + 7*t**2. Factor k(w).
-2*(w - 1)*(w + 1)**2/5
Let g(d) be the first derivative of -d**8/6720 + d**7/1680 - d**6/1440 - d**3/3 - 1. Let q(x) be the third derivative of g(x). Factor q(r).
-r**2*(r - 1)**2/4
Suppose -2*q - 16 = -3*c - 0*q, 3*q + 15 = 0. Suppose 0 = 3*b, 4*t = c*b + 2*b. Factor 0*w**3 + 2/7*w**2 + t + 0*w - 2/7*w**4.
-2*w**2*(w - 1)*(w + 1)/7
Let t(i) = 8*i**2 + 132*i + 180. Let q(v) = 3*v**2 + 53*v + 72. Let g(j) = 12*q(j) - 5*t(j). Factor g(u).
-4*(u + 3)**2
Suppose 252*c**4 - 28*c - 27*c - 3*c**2 + 120*c**5 - 6 + 28*c + 150*c**3 = 0. What is c?
-1, -1/2, 2/5
Let q(z) be the