 - 2*m**2 + m + 7. Suppose -3*j = j - 28. Let c(g) = 3*g**4 - 6*g**3 + 3*g**2 - 6. Let x(q) = j*c(q) + 6*z(q). Factor x(r).
-3*r*(r - 2)*(r + 1)**2
Let w be (-40)/6*(-28)/70. Let -14/9*f**3 + 8/9*f - w*f**2 + 0 = 0. What is f?
-2, 0, 2/7
Let v(q) be the third derivative of 0*q**4 - 7*q**2 - 1/20*q**5 + 0*q**3 + 0 - 3/40*q**6 - 3/70*q**7 + 0*q - 1/112*q**8. Factor v(l).
-3*l**2*(l + 1)**3
Let l(s) = -2*s**2 + 8*s + 6. Let i(o) = 4*o**2 - 17*o - 13. Let n be 0 - (-3)/3 - -5. Let r(a) = n*i(a) + 13*l(a). Factor r(g).
-2*g*(g - 1)
Suppose 0 - 4 = -2*j. Let -4*g**4 + 4*g**j - 2*g + 5*g**5 - 2*g**5 - g**5 = 0. Calculate g.
-1, 0, 1
Let f(g) = g**2 + 3*g - 14. Suppose -4*q - 22 = -0*q + 2*s, s = q + 7. Let u be f(q). What is z in 0*z**2 + 0 + 2/5*z**3 + 0*z - 2/5*z**u = 0?
0, 1
Let y(u) be the second derivative of -u**6/20 + 7*u**5/40 - 5*u**4/24 + u**3/12 - 2*u. Let y(q) = 0. What is q?
0, 1/3, 1
Suppose 5*p + 5*t - 6 = 3*t, 6 = -5*p + 2*t. Let o(a) be the third derivative of p*a**4 + 0 + 0*a + 1/150*a**5 - a**2 - 1/15*a**3. Solve o(d) = 0 for d.
-1, 1
Let g(h) be the first derivative of -1/27*h**6 + 1 - 1/18*h**4 + 0*h + 4/45*h**5 + 0*h**2 + 0*h**3. Find u, given that g(u) = 0.
0, 1
Let q be 18/27*(-27)/(-2). Let z be q/6*28/21. Let 2/7*k - 2/7 + 2/7*k**z - 2/7*k**3 = 0. What is k?
-1, 1
Suppose 9 = -4*l + 45. Suppose -5*t + l + 1 = 0. Let 0 - 8/5*v**3 + 0*v**t + 0*v - 8/5*v**4 - 2/5*v**5 = 0. Calculate v.
-2, 0
Let g(h) be the second derivative of -h**7/14 - h**6/10 + 3*h**5/20 + h**4/4 + 8*h. Solve g(t) = 0.
-1, 0, 1
Let g(l) be the first derivative of -1/2*l**2 + 1/2*l + 1/6*l**3 - 8. Suppose g(i) = 0. Calculate i.
1
Let x(s) be the first derivative of 1/2*s**4 + 1 - s**2 + 2/5*s**5 + 0*s - 2/3*s**3. Factor x(g).
2*g*(g - 1)*(g + 1)**2
Suppose -a + 18 = 8*a. Factor -2/5 - 2/5*u**3 + 2/5*u + 2/5*u**a.
-2*(u - 1)**2*(u + 1)/5
Let c(j) = -2*j + 3. Suppose 6*m + 25 = m. Let h(b) = 3*b**2 + 1 - 3 + 3*b - 2*b**2. Let z(g) = m*h(g) - 4*c(g). Factor z(f).
-(f + 1)*(5*f + 2)
Suppose 0 = -28*y + 29*y - 2. Let q(s) be the third derivative of 0*s + 0 + 1/27*s**3 - 1/54*s**4 + 1/270*s**5 - s**y. Factor q(i).
2*(i - 1)**2/9
Let p = -15 - -18. Solve -480 + v**2 - p*v + 480 = 0.
0, 3
Let k(y) be the third derivative of -y**8/5880 + y**6/1260 + y**3/3 - 3*y**2. Let u(v) be the first derivative of k(v). Determine c so that u(c) = 0.
-1, 0, 1
Let x(m) be the first derivative of 4*m**5/5 - 4*m**3 - 4*m**2 + 2. Solve x(w) = 0 for w.
-1, 0, 2
Let v(a) = -8*a + 26. Let z be v(3). Let p(q) be the first derivative of 1/5*q + 1/20*q**4 - 1/10*q**z - 1/15*q**3 - 3. Find x such that p(x) = 0.
-1, 1
Let j(p) be the third derivative of p**8/840 - 2*p**7/525 + p**6/900 + p**5/150 + p**3/6 - 3*p**2. Let s(z) be the first derivative of j(z). Factor s(f).
2*f*(f - 1)**2*(5*f + 2)/5
Let s = 0 + 10. Suppose -5*m = -5*w, -4*m + m = 2*w - s. What is h in 0 - 1/2*h + 3/4*h**m = 0?
0, 2/3
Let q be ((-1000)/35)/(-10) - (-2)/14. Factor 0*x**2 + 1/2*x**4 + 0 + 0*x + 3/2*x**q.
x**3*(x + 3)/2
Let v be 5488/4410 + 1 + 26/(-18). Factor -v*j + 2/15*j**2 + 6/5.
2*(j - 3)**2/15
Let z(i) = -1. Let t(y) = y - 9. Let s(n) = t(n) - 3*z(n). Let m be s(8). Suppose -4*x + x**2 + 4*x**2 + 0*x**2 - 7*x**m = 0. What is x?
-2, 0
Factor -2 + 48*z**2 - 47*z**2 - 2*z - 1.
(z - 3)*(z + 1)
Let r be (5 + -3)*4/2. Let -2*k**3 + 2 - k**2 - k**3 - k**r + 0*k + 5*k - 2*k = 0. Calculate k.
-2, -1, 1
Let n(z) be the third derivative of z**8/1680 - z**7/350 + z**6/600 + z**5/100 - z**4/60 + 10*z**2. Determine b so that n(b) = 0.
-1, 0, 1, 2
Suppose 3*l**4 + 0*l**5 - 3*l**3 + 3*l**5 + 112*l**2 - 115*l**2 = 0. What is l?
-1, 0, 1
Let d = 9 + -7. What is v in 3*v**d + 7*v - 7*v - v**3 - 2*v**4 = 0?
-3/2, 0, 1
Let o(s) be the first derivative of -4/3*s**3 + 0*s + 0*s**2 + s**4 - 4. Factor o(q).
4*q**2*(q - 1)
Let a = -31/8 - -43/8. Factor 9/4 - a*b + 1/4*b**2.
(b - 3)**2/4
Suppose -18 + 2 = -4*i. Suppose -i*y + 0*y = -12. Factor -b**y + 4*b**2 + b - 4*b**2.
-b*(b - 1)*(b + 1)
Suppose -2*w + 12 = 2*c - 0*w, -3*w + 15 = 0. Let u be 5 + (c - 2) + -2. Factor -2/7*m**u - 6/7*m - 4/7.
-2*(m + 1)*(m + 2)/7
Determine j so that 94/7*j**2 + 4/7 - 12*j**3 - 34/7*j = 0.
2/7, 1/3, 1/2
Let o(g) be the third derivative of 121*g**5/270 - 11*g**4/27 + 4*g**3/27 + 5*g**2. Determine s so that o(s) = 0.
2/11
Let q(w) = 10*w**2 - 69*w + 171. Let y(z) = -2*z**2 + 14*z - 34. Let m be (-6)/14 - 148/14. Let l(n) = m*y(n) - 2*q(n). Factor l(j).
2*(j - 4)**2
Suppose 0 = -2*u + u + 3. Factor -u*n**4 + n**3 + 2*n**2 - 3*n**2 + 4*n**4 - n.
n*(n - 1)*(n + 1)**2
Let w = -1330/9 + 148. Suppose 4/9*t**3 + w*t**4 + 0*t + 0 + 2/9*t**2 = 0. Calculate t.
-1, 0
Let b = 68/5 + -66/5. Let m be (2/(-20))/((-2)/16). Factor 2/5*j**2 + m*j + b.
2*(j + 1)**2/5
Let o = 20 - 18. Let z(a) be the first derivative of 3 - 1/3*a**3 + a**o - a. Let z(c) = 0. What is c?
1
Let a be -2 - -5 - (0 - -1). Factor -9*o**2 - 2*o + 3*o**a + 0*o.
-2*o*(3*o + 1)
Suppose 2 - 11 = -3*b. Let x(l) be the third derivative of -1/84*l**4 + 0*l + 2*l**2 + 0 + 0*l**b + 1/420*l**6 + 0*l**5. Factor x(q).
2*q*(q - 1)*(q + 1)/7
Let d(l) = 8*l**4 - 7*l**3 - 3*l**2 + l - 1. Let p(q) = q**3 + q**2 - q + 1. Let b(g) = -2*d(g) - 2*p(g). Determine h so that b(h) = 0.
-1/4, 0, 1
Let r = 1 - 2. Let l be r/2*(-3 - 3). Determine h so that 1 + 2*h**2 + 0 - 4*h + l - 2 = 0.
1
Let l(v) be the third derivative of -1/3*v**3 - 3*v**2 - 1/6*v**4 + 0*v + 0 + 1/10*v**5. Let l(q) = 0. Calculate q.
-1/3, 1
Let q(b) = -6*b**2 + 6 - 4 + 2 - 5*b - b**3. Let y be q(-5). Find r such that -r**y - r + r = 0.
0
Let d(m) be the first derivative of 0*m - 8 + 0*m**2 - 1/10*m**4 - 2/25*m**5 + 0*m**3. Suppose d(r) = 0. What is r?
-1, 0
Let t(z) be the first derivative of z**6/45 + 2*z**5/75 - z**4/30 - 2*z**3/45 + 11. Factor t(d).
2*d**2*(d - 1)*(d + 1)**2/15
Let p(z) = -5*z**3 + 12*z**2 + 3*z. Let v(h) = -h**2 - h. Let u be -10*((-4)/(-8) - 0). Let d(a) = u*v(a) - p(a). Suppose d(y) = 0. What is y?
0, 2/5, 1
Suppose -4*y = -5*l + l + 8, -5*y - 4 = -3*l. Let i be -1 + (-33)/(-7) + -2. Factor -2/7 - i*v**2 - 2/7*v**4 + 8/7*v + 8/7*v**l.
-2*(v - 1)**4/7
Let z(a) be the first derivative of a**5/60 - a**4/24 - a**3/3 - 3*a**2/2 + 2. Let x(d) be the second derivative of z(d). Factor x(u).
(u - 2)*(u + 1)
Let h = 84 - 248/3. Let j(m) be the first derivative of 2/3*m**2 + h*m - 3 + 1/9*m**3. Let j(q) = 0. What is q?
-2
Suppose -4*s + 4*o + 41 = 9, 0 = -5*s - 2*o + 5. Factor 0 - 2*b**2 + 0*b - 2*b**s - 1/2*b**4.
-b**2*(b + 2)**2/2
Suppose 3*o = -2*j - 25, -2*j + 27 = -5*o + 2*j. Let i = o + 10. Solve c**3 - 5*c**2 - 2 + i - c + 4*c**2 = 0 for c.
-1, 1
Let c(x) be the second derivative of -x**6/840 - x**5/140 + 3*x**4/56 + 3*x**3/2 - 7*x. Let r(o) be the second derivative of c(o). Factor r(f).
-3*(f - 1)*(f + 3)/7
Let i(o) be the third derivative of o**9/25200 - o**8/11200 - o**7/4200 + o**6/1200 - o**4/3 - 2*o**2. Let q(y) be the second derivative of i(y). Factor q(m).
3*m*(m - 1)**2*(m + 1)/5
Let a(o) = -o + 4. Let m be a(0). Let -m*x - 4*x**3 + x**3 + 7*x = 0. What is x?
-1, 0, 1
Let 0*q - 6*q**4 + 4*q**4 + 4*q**3 - 2*q**5 + 4*q**2 - 2*q - 3 + 1 = 0. What is q?
-1, 1
Let x(s) be the first derivative of -s**5/10 - s**4/4 - s**3/6 + 30. What is f in x(f) = 0?
-1, 0
Find t such that -89*t**2 - t**3 + 125*t**2 + 638 - 432*t + 1090 = 0.
12
Let i(o) be the third derivative of 0*o**3 - 3*o**2 + 1/12*o**4 + 0 + 1/12*o**5 + 1/40*o**6 + 0*o. Suppose i(n) = 0. Calculate n.
-1, -2/3, 0
Let a(o) be the third derivative of -o**6/900 + o**5/300 + 7*o**3/6 - 2*o**2. Let h(x) be the first derivative of a(x). Factor h(v).
-2*v*(v - 1)/5
Let l = 2/1575 + 344/4725. Let b(m) be the first derivative of 0*m + 0*m**2 - l*m**3 - 2. What is f in b(f) = 0?
0
Let p(j) be the third derivative of -j**9/7560 + j**8/1400 - j**7/1050 + j**3/2 + 3*j**2. Let t(a) be the first derivative of p(a). Factor t(v).
-2*v**3*(v - 2)*(v - 1)/5
Let z be (6 + 1)/((-3)/(-3)). Let h(s) = s**2 - 6*s - 4. Let u be h(z). What is v in 2*v**5 + 2 - 2 - 6*v**4 + 2*v**3 - 2*v**2 + 4*v**u = 0?
0, 1
Factor 4/7*s**2 + 24/7 + 4*s.
4*(s + 1)*(s + 6)/7
Let i(y) be the second derivative of -y**7/126 + y**5/60 - 5*y. Factor i(q).
-q**3*(q - 1)*(q + 1)/3
Let q(t) be the second derivative of -t**6/