 that x(w) = 0.
-1, 0, 1
Let g = 34 + -30. Suppose 9*w - 25 = g*w. Let 2*q**4 + 3*q**3 + 2*q**2 + 1/2*q + 1/2*q**w + 0 = 0. What is q?
-1, 0
Factor -3*j**2 - 20 + 29*j - 4*j - 2*j**2.
-5*(j - 4)*(j - 1)
Let g = -27 - -47. Suppose 3*s = -2*s + g. Let 66*o**3 - 26*o + 2*o + 8 - 22*o**2 - 6*o**3 + 50*o**s = 0. What is o?
-1, 2/5
Let d be (-25)/(-10)*(-8)/(-5). Suppose -d*p = 4*a + p - 22, -a = -4*p + 5. Factor -5 + 0*t**2 + 2*t**2 + a.
2*(t - 1)*(t + 1)
Let t(w) = w**3 - 13*w**2 + w - 11. Let y be t(13). Factor -6*p - y + 27*p + 8 - 27*p**2.
-3*(p - 1)*(9*p + 2)
Let t(l) be the third derivative of 1/30*l**5 + 0*l**4 + 0*l + 0 + 0*l**3 - 1/105*l**7 + 2*l**2 + 0*l**6. Determine r so that t(r) = 0.
-1, 0, 1
Let u(x) be the second derivative of x**6/10 - 3*x**5/10 - 7*x**4/4 + 10*x**3 - 18*x**2 + 42*x. Factor u(b).
3*(b - 2)**2*(b - 1)*(b + 3)
Let m be (-98)/343 - 72/(-154). Suppose 2/11*h + 2/11 - m*h**3 - 2/11*h**2 = 0. Calculate h.
-1, 1
Let d(n) be the first derivative of 2 + 9/4*n**2 - 3*n - 1/2*n**3. Factor d(z).
-3*(z - 2)*(z - 1)/2
Let a(l) be the first derivative of l**6/12 + l**5/10 - l**4 + 4*l**3/3 + l**2 + 1. Let j(f) be the second derivative of a(f). Factor j(x).
2*(x - 1)*(x + 2)*(5*x - 2)
Let r(u) be the second derivative of 3/100*u**5 + 0*u**3 - 2/35*u**7 - 3/50*u**6 + 0*u**4 + 0*u**2 - 5*u + 0. Factor r(m).
-3*m**3*(m + 1)*(4*m - 1)/5
Let 6*c**5 + 0*c**3 - 3*c**5 + 6*c**4 + c**3 + 2*c**3 = 0. What is c?
-1, 0
Let u(p) be the third derivative of p**5/120 + p**4/16 + p**3/6 + 6*p**2. Factor u(c).
(c + 1)*(c + 2)/2
Factor 2*j**2 + 10*j**2 - 10*j**2 + 2*j.
2*j*(j + 1)
Let i(t) be the first derivative of -2*t**3/9 + 2*t**2/3 - 2*t/3 - 2. Solve i(p) = 0.
1
Let m = -3/172 - -261/172. What is g in 0 + m*g**3 + 3/2*g - 3*g**2 = 0?
0, 1
Let x(f) = f - 6. Let s be x(6). Find n such that -n**4 + 1/2*n**3 + 0*n**2 + s*n + 0 + 1/2*n**5 = 0.
0, 1
Suppose -6*l + 2*y + 8 = -2*l, -y - 1 = l. Suppose 5*k - 9 = l. Factor 0*i**k + 1/3*i**4 - i**3 + 0 + 4/3*i.
i*(i - 2)**2*(i + 1)/3
Let o(n) be the second derivative of -n**4/48 - n**3/24 + n**2/4 - 4*n. Factor o(s).
-(s - 1)*(s + 2)/4
Factor -1/4 - 9/2*d**2 + 7/4*d + 11/2*d**3 + 3/4*d**5 - 13/4*d**4.
(d - 1)**4*(3*d - 1)/4
Let j = 11 + -4. Suppose a + 4 = j. Find r, given that 0 - r + 0 + a*r**3 - 8*r - 6 = 0.
-1, 2
Let t(c) = -2*c**3 + 15*c**2 - 11*c + 8. Let n(u) = -u**2 - u. Let m(x) = 5*n(x) + t(x). Find z, given that m(z) = 0.
1, 2
Let r(p) be the third derivative of p**9/216 - p**8/420 - 4*p**3/3 - p**2. Let i(x) be the first derivative of r(x). Find w such that i(w) = 0.
0, 2/7
Suppose -3*w + 5 - 2 = 3*q, -w - 14 = -4*q. Suppose 2*p - q*b + 1 = -2*p, -4*b = -2*p - 8. Factor 0 - 2/3*k + 2/3*k**4 - 2*k**3 + p*k**2.
2*k*(k - 1)**3/3
Find n such that -4 + 14*n - 31*n**3 - 2*n**4 - 34*n**3 - 18*n**2 + 75*n**3 = 0.
1, 2
Let x = -209 - -211. Factor 0 + 8/3*n**2 + 2/3*n + x*n**3.
2*n*(n + 1)*(3*n + 1)/3
Let u(m) = -14*m**4 + 17*m**3 - 20*m**2 + 17. Suppose -4*t + 22 = -46. Let g(c) = 5*c**4 - 6*c**3 + 7*c**2 - 6. Let k(h) = t*g(h) + 6*u(h). Factor k(f).
f**2*(f - 1)*(f + 1)
Suppose -8*k = -5*k - 12. Let r be (-3)/(-7) - k/(-252). Determine o, given that -2/3*o - r - 2/9*o**2 = 0.
-2, -1
Let p(n) be the second derivative of -5*n**4/66 - n**3/11 + 2*n**2/11 + 20*n. Factor p(t).
-2*(t + 1)*(5*t - 2)/11
Find a, given that -20/17*a**3 + 16/17*a**4 + 2/17*a**2 + 0 + 2/17*a = 0.
-1/4, 0, 1/2, 1
Let p(t) = -4*t + 2 + 7*t - 2*t. Let u be p(2). Determine s so that 2*s**5 - u*s**2 + 8/3*s**3 - 14/3*s - 4/3 + 16/3*s**4 = 0.
-1, -2/3, 1
Let o = 2 + -2. Suppose 2*m + o*b - 2*b = 8, -b - 16 = -4*m. Factor -1 - 4*p**3 + m*p + 2*p**4 + 0*p**3 - 1.
2*(p - 1)**3*(p + 1)
Let m(q) be the second derivative of q**9/1680 + q**8/560 - q**7/504 - q**6/60 - q**5/30 - q**4/6 + 2*q. Let x(g) be the third derivative of m(g). Factor x(y).
(y - 1)*(y + 1)*(3*y + 2)**2
Let w = 8821/70 - 126. Let j(z) be the second derivative of -1/7*z**2 + z + 1/7*z**3 + 0 + w*z**5 - 1/14*z**4. Factor j(k).
2*(k - 1)**3/7
Factor -4*m - 8/3*m**2 + 4/3*m**3 + 0.
4*m*(m - 3)*(m + 1)/3
Let h be ((-2)/(-14))/((-1)/(-4)). Let m = -73/14 - -11/2. Factor -h*d - 2/7*d**2 - m.
-2*(d + 1)**2/7
Factor 22*p**4 - 59*p**4 - 12*p + 23*p**4 - 20*p**3 + 18*p**4 + 28*p**2.
4*p*(p - 3)*(p - 1)**2
Let h = 2/83 - -51/1328. Let g(w) be the first derivative of -1/6*w**3 + h*w**4 + 3 + 0*w + 1/8*w**2. What is q in g(q) = 0?
0, 1
Let q(z) be the second derivative of -1/90*z**6 - 1/6*z**2 + 2/9*z**3 + 1/15*z**5 + z + 0 - 1/6*z**4. Let q(j) = 0. What is j?
1
Let u(k) = -k**2 + 10*k - 11. Let m be u(9). Let i be m/8 - (-42)/72. Factor 0*n + 0 - i*n**2.
-n**2/3
Determine q, given that -3*q + 38*q**3 - 3*q + 12*q**2 - 30*q**3 - 2*q = 0.
-2, 0, 1/2
Let c(l) be the second derivative of l**6/180 - l**5/30 + l**4/12 + 2*l**3/3 - 2*l. Let f(i) be the second derivative of c(i). What is j in f(j) = 0?
1
Let n be 4 - (-3 + (-3 - -8)). Suppose n*i = -3*i. Suppose -2/5*q**2 + i*q + 2/5 = 0. Calculate q.
-1, 1
Let o(d) = -d + 4. Let t be o(2). Suppose -4*v + 6 = 5*f - 43, -v = t*f - 16. Find s such that -s + 6*s**4 + v*s**4 - 5*s**4 + 2*s**3 - 7*s**2 - s = 0.
-1, -2/7, 0, 1
Let y = 35335/4 + -8790. Let m = 44 - y. Solve 3/4*h**2 + 0*h + m*h**3 - 1 = 0 for h.
-2, 1
Factor 9/2*n**4 + 9/2*n**2 - 3 - 21/2*n**3 + 9/2*n.
3*(n - 1)**3*(3*n + 2)/2
Let j(m) be the second derivative of 1/300*m**5 + 1/900*m**6 + 0*m**4 - 4*m + 0 + 0*m**2 + 2/3*m**3. Let q(c) be the second derivative of j(c). Factor q(y).
2*y*(y + 1)/5
Let j(c) be the first derivative of 0*c**2 - 4 + 1/3*c**3 + 0*c. Factor j(v).
v**2
Let y(p) be the second derivative of -p**10/10080 - p**9/1260 - p**8/448 - p**7/420 - 5*p**4/12 + p. Let c(b) be the third derivative of y(b). Factor c(a).
-3*a**2*(a + 1)**2*(a + 2)
Let i be (-3 + 2)/(-3 + -2). Factor -1/5*j**2 + 1/5*j**4 + 0 + 1/5*j - i*j**3.
j*(j - 1)**2*(j + 1)/5
Suppose -5*r - 2*d - 132 = -335, 5*r = -4*d + 211. Suppose -j + r = 2*j. Let 2*i + 3*i**2 - i**4 - 13*i**3 + j*i**3 = 0. What is i?
-1, 0, 2
Suppose 19*y = 13*y. Factor y + 1/3*a - 1/3*a**2.
-a*(a - 1)/3
What is t in 2/15*t**3 + 2/5*t + 2/3*t**2 - 6/5 = 0?
-3, 1
Factor 8/3*s**2 + 4*s**3 + 0 + 0*s + 4/3*s**4.
4*s**2*(s + 1)*(s + 2)/3
Let 2/5*y - 3/5*y**3 + 1/5*y**4 + 0 - 1/5*y**2 + 1/5*y**5 = 0. What is y?
-2, -1, 0, 1
Let c(r) be the third derivative of -r**8/10080 + r**7/3780 + r**4/24 - 2*r**2. Let l(f) be the second derivative of c(f). Let l(n) = 0. Calculate n.
0, 1
Let v(p) = p + 2. Let q be v(3). Suppose -q*c + 7 = -13. Factor 0 + 2*i**3 + 1/2*i**5 + 0*i + 2*i**c + 0*i**2.
i**3*(i + 2)**2/2
Let c(p) be the third derivative of -3*p**2 + 1/3*p**4 - 1/10*p**5 + 0 + 0*p - 1/3*p**3. Factor c(i).
-2*(i - 1)*(3*i - 1)
Let j(i) be the first derivative of i**8/420 - i**7/210 - i**6/45 - 7*i**3/3 - 1. Let w(q) be the third derivative of j(q). What is s in w(s) = 0?
-1, 0, 2
Let x = 6 - 4. Suppose 2*s + 6 = 4*d - 6, 0 = -x*s - 2*d + 12. Factor -v**3 - v**s - 11*v + 11*v.
-v**2*(v + 1)
Let k(x) be the first derivative of 3*x**5/5 - 3*x**4 + 5*x**3 - 3*x**2 + 5. Suppose k(p) = 0. What is p?
0, 1, 2
Let z(v) be the first derivative of 1/12*v**4 + 1 + v - 1/3*v**3 + 1/2*v**2. Let f(c) be the first derivative of z(c). Suppose f(d) = 0. What is d?
1
Let h(s) be the third derivative of -1/6*s**3 + 0 - 4*s**2 + 0*s - 1/30*s**5 + 3/16*s**4. Factor h(w).
-(w - 2)*(4*w - 1)/2
Factor -8/3*h - 4/3 + 1/3*h**4 + 2/3*h**3 - h**2.
(h - 2)*(h + 1)**2*(h + 2)/3
Let -2*j**2 - 58*j + 26*j + 32*j = 0. What is j?
0
Let o(j) be the second derivative of 0*j**2 + 0 + 0*j**3 - 1/5*j**5 - 9*j + 1/3*j**4. Factor o(y).
-4*y**2*(y - 1)
Let q(a) be the second derivative of a**5/15 - 8*a**4/9 + 26*a**3/9 - 4*a**2 + 24*a. Factor q(j).
4*(j - 6)*(j - 1)**2/3
Find f such that -63/4*f**2 + 147/4*f**3 + 3/2 + 9*f**5 - 3/4*f - 123/4*f**4 = 0.
-1/4, 2/3, 1
Let q(z) be the second derivative of -z**7/126 + z**6/90 + z**5/30 - z**4/18 - z**3/18 + z**2/6 - 31*z. Factor q(w).
-(w - 1)**3*(w + 1)**2/3
Let v(w) = -5*w**2 - 8*w - 8. Let r(g) = 2*g**2 + 3*g + 3. Let p(q) = 8*r(q) + 3*v(q). Solve p(b) = 0.
0
Factor 0 + 2/5*n**2 + 0*n + 4/5*n**3 + 2/5*n**4.
2*n**2*(n + 1)**2/5
Let b = -25 + 30. Suppose -3*y**5 - 3*y**3 + 5*y**5 + 0*y**5 + y**b = 0. Calculate y.
-1, 0, 1
Factor 3/5*