*w**2 + 0*w.
-2*w**2*(w - 1)**3/7
Let g be 23/7 - (-6)/(-21). Factor 6*q**3 - g*q**4 - 3*q**3 - 6*q**3.
-3*q**3*(q + 1)
Let r(l) be the second derivative of l**5/60 + l**4/9 + 5*l**3/18 + l**2/3 - 5*l. Factor r(o).
(o + 1)**2*(o + 2)/3
Let r be (2 - 5) + (-4 + -5)/(-3). Let b(u) be the third derivative of 0 + r*u**3 + 1/50*u**5 - 1/30*u**4 + 0*u - 3*u**2 - 1/300*u**6. Factor b(s).
-2*s*(s - 2)*(s - 1)/5
Let n(j) be the first derivative of -2/9*j**3 + j**2 + 6 - 4/3*j. Factor n(h).
-2*(h - 2)*(h - 1)/3
Let i be 50/12 + 2 - (14 - 8). Factor i + 1/3*c + 1/6*c**2.
(c + 1)**2/6
Factor 34/5*f - 289/5 - 1/5*f**2.
-(f - 17)**2/5
Let n(d) = -24*d - 30*d**2 - 3*d**2 + 8 - 38 - 21*d**3. Let m(k) = k**3 + k**2 + 1. Let o(w) = -18*m(w) - n(w). Determine a, given that o(a) = 0.
-2, -1
Let z(t) be the second derivative of -t**6/35 + t**5/70 + t**4/14 - t**3/21 - 3*t. Suppose z(x) = 0. What is x?
-1, 0, 1/3, 1
Factor -z**2 + 10*z**2 - 3*z**2 - z**3.
-z**2*(z - 6)
Let a(r) = 9*r**4 + 37*r**3 - 82*r**2 + 36*r + 2. Let d(o) = -36*o**4 - 147*o**3 + 327*o**2 - 144*o - 9. Let p(l) = -9*a(l) - 2*d(l). What is i in p(i) = 0?
-6, 0, 2/3, 1
Let n(p) be the third derivative of p**5/450 - p**3/45 + 6*p**2. Factor n(t).
2*(t - 1)*(t + 1)/15
Let s(n) be the third derivative of n**5/90 + n**4/36 - 15*n**2. Determine w so that s(w) = 0.
-1, 0
Let z(h) be the first derivative of -h**6/360 + h**5/30 - h**4/6 + 4*h**3/9 + h**2/2 - 4. Let k(n) be the second derivative of z(n). Factor k(a).
-(a - 2)**3/3
Let w(z) = -3*z**5 + 4*z**4 - z**3 + 6*z**2 - 3*z + 4. Let t(o) = o**5 - o**4 - 2*o**2 + o - 1. Let d(x) = 21*t(x) + 6*w(x). Let d(s) = 0. Calculate s.
-1, 1
What is b in 6/7*b**2 + 24/7*b + 18/7 = 0?
-3, -1
Let i(a) be the first derivative of -a**8/56 + a**7/105 + a**6/20 - a**5/30 + a**2 + 1. Let k(s) be the second derivative of i(s). Let k(q) = 0. Calculate q.
-1, 0, 1/3, 1
Let i be (-1)/(-6) - (-95)/798. Solve -i*d**4 - 2/7 + 4/7*d**2 + 4/7*d**3 - 2/7*d**5 - 2/7*d = 0 for d.
-1, 1
Find q, given that -1/2*q - q**2 + 0 - 1/2*q**3 = 0.
-1, 0
Let q(d) be the first derivative of d**7/21 + d**6/5 + d**5/5 + 8*d + 10. Let m(b) be the first derivative of q(b). Let m(w) = 0. Calculate w.
-2, -1, 0
Suppose 0*k + 4 = 4*k + 4*z, 5*k - 5*z - 15 = 0. Let n(c) = -c**3 + 3*c**2 + 6*c - 6. Let q be n(4). Suppose -7*b + k*b**q + 7*b = 0. Calculate b.
0
Let o(r) be the third derivative of -3*r**7/350 + r**6/100 + r**5/100 + 8*r**2. Factor o(x).
-3*x**2*(x - 1)*(3*x + 1)/5
Let u(c) = c**3 + c**2 - 1. Let k(y) = 3*y**4 - 8*y**3 + 13*y**2 - 4*y - 2. Let g(b) = -k(b) + 2*u(b). Factor g(q).
-q*(q - 1)**2*(3*q - 4)
Let n(j) = j**3 + 30*j**2 - 100*j + 92. Let w(m) = 3*m**3 + 120*m**2 - 399*m + 369. Let y(u) = 15*n(u) - 4*w(u). Factor y(h).
3*(h - 4)**2*(h - 2)
Let w(q) = -3*q**2 + q + 1. Let p be w(-1). Let s = p + 3. Factor z + s*z + z**3 + 0*z**2 + 2*z**2.
z*(z + 1)**2
Find p such that 9*p**4 + 2*p**5 + 0*p**4 + 4*p**4 + 16*p**3 - 3*p**4 + 8*p**2 = 0.
-2, -1, 0
Suppose 0 = -2*p + 2 + 4. Suppose -5*c = -c - 8. Factor u**p + 1 - u + 0*u**3 + 0*u**3 - u**c.
(u - 1)**2*(u + 1)
Let v = 0 - -2. Suppose 0 = v*f + k - 3*k - 18, 0 = -2*k + 4. Factor 26*y**2 - f*y**2 - 2*y**4 - 13*y**2.
-2*y**2*(y - 1)*(y + 1)
Suppose 0 = 3*g - 5*g + 8. Suppose o + 14 = u + g*u, -12 = -2*u + 2*o. Suppose 2/5*s**3 - 4/5 - 8/5*s**u + 2*s = 0. Calculate s.
1, 2
Suppose 2/5*b**3 + 4/5*b**2 + 2/5*b + 0 = 0. What is b?
-1, 0
Let k(a) be the first derivative of -a**6/15 - 4*a**5/25 + 4*a**3/15 + a**2/5 + 8. Factor k(n).
-2*n*(n - 1)*(n + 1)**3/5
Suppose 0 = -28*m + 29*m. Factor -2/7*x**3 - 2/7*x**2 + m*x + 0.
-2*x**2*(x + 1)/7
Let n(a) be the second derivative of a**4/60 - a**3/15 + a**2/10 - 10*a. Let n(z) = 0. Calculate z.
1
Let u(c) be the first derivative of 3*c**5/5 + 9*c**4/4 - 2. Factor u(y).
3*y**3*(y + 3)
Let z(k) be the first derivative of -2*k**5/35 - 4*k**4/7 - 16*k**3/7 - 32*k**2/7 - 32*k/7 - 4. Find v such that z(v) = 0.
-2
Let r(q) be the second derivative of q**7/10080 - q**5/480 - q**4/4 - 3*q. Let i(h) be the third derivative of r(h). Factor i(x).
(x - 1)*(x + 1)/4
Let s(g) = 4*g**2 + 23*g - 3. Let p be s(-6). Suppose -4/9*n**p + 0 + 0*n**2 - 2/9*n**4 + 0*n = 0. What is n?
-2, 0
Let n(v) be the first derivative of -v**4/48 - v**3/6 - v**2/2 + 4*v - 4. Let m(i) be the first derivative of n(i). Suppose m(x) = 0. Calculate x.
-2
Suppose -3*v + 68 = 62. Let y(w) be the second derivative of 0*w**v - 1/8*w**4 + 0 - 1/6*w**3 - 1/40*w**5 + w. Factor y(k).
-k*(k + 1)*(k + 2)/2
Suppose -2*m = -3*m + 8*m. Factor 0 + 0*x**3 + m*x**2 + 1/4*x**5 + 1/2*x**4 + 0*x.
x**4*(x + 2)/4
Let q(a) be the third derivative of -a**8/26880 + a**7/10080 - 5*a**4/24 - 4*a**2. Let w(c) be the second derivative of q(c). Determine g so that w(g) = 0.
0, 1
Suppose 0 = -3*c + 17 - 5. Suppose -m + 4*b + 13 = c*m, 5*b = 5*m - 10. Factor 2*r**4 - r**2 - r**2 - 2*r**5 - 2*r**3 + 4*r**m.
2*r**2*(r - 1)*(r + 1)**2
Let u(x) be the third derivative of 0*x - 3*x**2 - 1/30*x**5 + 0*x**3 + 1/12*x**4 + 0. Let u(b) = 0. Calculate b.
0, 1
Let a(x) = 4*x + 4. Let n be a(-1). Let u(l) be the third derivative of -2*l**2 + 2/15*l**5 + 0*l**3 + 5/126*l**7 + 1/8*l**6 + n*l + 0 + 1/18*l**4. Factor u(f).
f*(f + 1)*(5*f + 2)**2/3
Let d be -1 + 2/(-4) + (6 - 4). Factor -1/2*y**2 + 1/2*y**3 + 1/2 - d*y.
(y - 1)**2*(y + 1)/2
Suppose -1 = 5*l - 21. Let m = 4 - l. Find v, given that -2/5*v + 0*v**2 - 2/5*v**5 + 0 + 4/5*v**3 + m*v**4 = 0.
-1, 0, 1
Let i be 0 - (-3)/(-4 + 5). Let o(w) be the second derivative of 2*w + 1/3*w**4 + 0 + 1/3*w**i + 1/8*w**2. Factor o(a).
(4*a + 1)**2/4
Let n(v) = v**3 - 5*v**2 + 5*v. Let w be n(4). Suppose 1 + b**2 - 4*b**2 + b**2 + b**w = 0. What is b?
-1, 1
Suppose -22*w + 48 = -6*w. Determine a, given that 0 - 36/5*a**2 - 18/5*a**4 - 3/5*a**5 - 12/5*a - 39/5*a**w = 0.
-2, -1, 0
Suppose -1/2 - z - 1/2*z**2 = 0. Calculate z.
-1
Let l(f) = f**3 - 34*f**2 - 37*f + 70. Let g be l(35). Suppose g*b**4 - 3/4*b**5 + 0 + 0*b**2 - 3/4*b + 3/2*b**3 = 0. Calculate b.
-1, 0, 1
Let k(o) be the first derivative of o**8/10920 - o**7/5460 - o**6/1170 - o**3/3 + 1. Let j(b) be the third derivative of k(b). Factor j(g).
2*g**2*(g - 2)*(g + 1)/13
Factor -2*j**2 + 4*j**3 - 8*j**4 - 8*j**4 + 14*j**4.
-2*j**2*(j - 1)**2
Let x = 6 + -3. Factor -y - 7*y - 6*y**x + 16*y**2 - 16 + 4*y**2.
-2*(y - 2)**2*(3*y + 2)
Let h(n) be the first derivative of 5*n**4 - 15*n**3 + 5*n**2 + 20. Factor h(c).
5*c*(c - 2)*(4*c - 1)
Let u be 4*(-2)/(-16)*0. Factor u*p + 2*p - 6*p**2 - 5*p**3 + 3*p**2.
-p*(p + 1)*(5*p - 2)
Let y(s) be the second derivative of s**5/110 + s**4/22 + s**3/11 + s**2/11 - 4*s. Factor y(k).
2*(k + 1)**3/11
Suppose -4*v + 16 = 2*y, 4*v = -3*y - y + 24. Factor 2 - l**v + 0*l**3 - l - l**2 + l**3.
(l - 2)*(l - 1)*(l + 1)
Let h(l) be the second derivative of -l**5/50 + 7*l**4/30 - 4*l**3/15 - 12*l**2/5 + 31*l - 1. Determine p so that h(p) = 0.
-1, 2, 6
Let z(b) be the first derivative of -27*b**4/4 - 3*b**3 + 15*b**2/2 - 3*b - 3. Find f, given that z(f) = 0.
-1, 1/3
Factor 6*b**5 + 6*b**2 - 9 + 54*b**3 + 3*b**2 + 2*b**2 - 12*b + 33*b**4 + 13*b**2.
3*(b + 1)**3*(b + 3)*(2*b - 1)
Let q = 13/21 - 2/7. Find o, given that -o**4 + 0 + o**2 - q*o**3 - 1/3*o + 2/3*o**5 = 0.
-1, 0, 1/2, 1
Let d(g) be the third derivative of g**5/540 - g**4/216 - g**3/9 - 17*g**2. Suppose d(v) = 0. What is v?
-2, 3
Let r(m) be the first derivative of 3*m**4/4 - 2*m**3 + 9. Determine t, given that r(t) = 0.
0, 2
Let x = 283/186 + -2/93. Let q = x - 5/6. Factor -q*b**2 + 4/3 + 2/3*b.
-2*(b - 2)*(b + 1)/3
Let r = 145 - 143. Find n, given that -2/3*n**r - 8/3 - 8/3*n = 0.
-2
Let r be (6/(-3) - -1) + 15. Let 2 + 0*q + 14*q**3 - 10*q**4 + 6*q**2 - 3 + 5 - r*q = 0. What is q?
-1, 2/5, 1
Let c(g) = g**3 - 3*g**2. Let x(y) = -3*y**3 + 12*y**2. Suppose -3*u + 2*u = 5*v - 9, -5*u - 1 = 2*v. Let s(l) = v*x(l) + 9*c(l). What is w in s(w) = 0?
0, 1
Let m(j) be the third derivative of -j**7/1260 + j**6/120 - j**5/30 - j**4/12 + 2*j**2. Let w(s) be the second derivative of m(s). Determine p so that w(p) = 0.
1, 2
Let p be (3 - 68/24)*4. Suppose p*m**2 + 0*m + 0 = 0. Calculate m.
0
Let h(z) = 4*z + 12. Let t be h(-3). Let o(x) be the third derivative of -1/360*x**6 + t*x + 0 + x**2 - 1/36*x**4 + 1/60*x**5 + 0*x*