 z(w).
-2*(w - 1)**3
Let z(d) be the second derivative of 2*d**7/21 + 2*d**6/15 - 3*d**5/5 - d**4/3 + 4*d**3/3 + d. Factor z(o).
4*o*(o - 1)**2*(o + 1)*(o + 2)
Suppose 5*i = -2*u + 13, -13 = 3*u - 6*u - i. Let l be (u/14)/((-4)/(-28)). Factor -3*h**2 - 1 + 5*h + h**2 - l*h**2.
-(h - 1)*(4*h - 1)
Let k(n) be the second derivative of -n**9/37800 - n**8/8400 - n**7/6300 - n**4/4 - n. Let j(w) be the third derivative of k(w). Suppose j(f) = 0. Calculate f.
-1, 0
Suppose 3*f + 24 - 21 = 3*z, 3*f + 5 = 5*z. Determine p so that 1/4*p**3 + 0*p - 1/4*p**2 - 1/4*p**5 + f + 1/4*p**4 = 0.
-1, 0, 1
Let b(q) be the second derivative of q**5/4 + q**4/4 - q**3/3 + 18*q. Let b(f) = 0. What is f?
-1, 0, 2/5
Let v be 4/4*(2 - 2). What is u in 3/2*u**2 + v*u - 1/4 + 2*u**3 + 3/4*u**4 = 0?
-1, 1/3
Let d(g) be the third derivative of 0*g**3 + 1/80*g**6 + 0*g - 1/24*g**4 + 1/24*g**5 + 0 - 3*g**2. Solve d(r) = 0 for r.
-2, 0, 1/3
Factor -3*q**3 - 12*q - 30*q**2 - 32*q - 2*q**3 - q.
-5*q*(q + 3)**2
Let g(h) be the first derivative of 1/8*h**4 - 1/20*h**5 + 0*h - 2 - 1/4*h**2 + 1/12*h**3. Find n, given that g(n) = 0.
-1, 0, 1, 2
Let o = 949/15 + -63. Let p = 1/15 + o. Factor -2/3*i**3 + 0*i + p*i**2 + 1/3*i**4 + 0.
i**2*(i - 1)**2/3
Suppose 12*w = 7*w. Let z(v) be the second derivative of 0*v**2 + 0*v**3 - 1/24*v**4 + w - v. Solve z(d) = 0.
0
Let m(i) be the second derivative of 0 - i**2 - 1/6*i**3 + 5*i + 1/12*i**4. Find g such that m(g) = 0.
-1, 2
Let g = -103/2 + 52. Suppose g*i**4 - i**3 - 1/2 + 0*i**2 + i = 0. Calculate i.
-1, 1
Let f(i) be the second derivative of -7*i + 1/4*i**4 + 0 + 0*i**2 - 2*i**3. Find x, given that f(x) = 0.
0, 4
Let p be (-4)/(-2) + -4 + 6. Factor b - 1 - 10*b**2 - b**3 + b**5 - b**3 - b**p + 12*b**2.
(b - 1)**3*(b + 1)**2
Let t(f) = -f**2 - 27*f - 48. Let l be t(-25). Factor 1/6*y**l + 0 + 1/6*y**3 - 1/6*y - 1/6*y**4.
-y*(y - 1)**2*(y + 1)/6
Suppose -5*l + 3*f + 41 = 0, -3*l = -l + 4*f - 32. Suppose 7*z - l = 2*z. Factor -3*c**z - 3*c + c + 4*c**2 + 1.
(c - 1)**2
Let q be 10 - 1 - 1 - 2. Suppose -q*d + d + 10 = 0. Factor 4/5*u - 2/5 - 2/5*u**d.
-2*(u - 1)**2/5
Suppose 7*k - 42 = -14*k. Let 8/3*r**3 + 4/3*r**k + 2/3*r**5 - 8/3*r**4 - 10/3*r + 4/3 = 0. Calculate r.
-1, 1, 2
Factor -7*r**3 + 304*r**4 - 300*r**4 + 2*r**2 - r**5 + 2*r**3.
-r**2*(r - 2)*(r - 1)**2
Let y(a) be the first derivative of -a**5/60 + a**4/8 + 2*a**3/3 + 4*a**2 - 10. Let z(v) be the second derivative of y(v). Factor z(o).
-(o - 4)*(o + 1)
Let v(j) be the third derivative of -j**6/60 - 2*j**5/35 + j**4/21 + 4*j**2. Factor v(z).
-2*z*(z + 2)*(7*z - 2)/7
Let o(d) be the third derivative of -7*d**8/192 - 29*d**7/240 - 23*d**6/240 + 37*d**5/480 + 7*d**4/48 + d**3/12 - 20*d**2. Suppose o(q) = 0. Calculate q.
-1, -2/7, 1/2
Factor -4*h**2 + 5*h**2 - h**4 + 2*h - h**2 - 5*h**2 + 4*h**3.
-h*(h - 2)*(h - 1)**2
Let r(m) = -3*m - 4. Let t be r(-7). Factor -3*l**2 - 7 - t + 15*l**2 - 6*l**2 - 3*l**3 + 12*l.
-3*(l - 2)**2*(l + 2)
Let f(r) = -r**3 + 4*r**2 + 61*r - 10. Let c be f(10). Find v, given that -3/2*v**5 + 3/2*v**4 - 3/2*v**2 + 0*v + 3/2*v**3 + c = 0.
-1, 0, 1
Let r(b) be the first derivative of 0*b - 3/2*b**2 - b**3 + 2. Suppose r(h) = 0. Calculate h.
-1, 0
Factor 0*t - 3/8*t**5 + 9/8*t**3 + 0 + 0*t**2 - 3/4*t**4.
-3*t**3*(t - 1)*(t + 3)/8
Suppose 1380*x**2 - 3*x**4 - 1379*x**2 + 4*x**4 - 2*x**3 = 0. What is x?
0, 1
Let w(p) be the second derivative of p**7/420 - p**5/60 + 2*p**3/3 + 4*p. Let b(r) be the second derivative of w(r). Solve b(m) = 0 for m.
-1, 0, 1
Let q be (-8)/16*(-2)/6. Factor -1/6*y**2 + 0 - 1/3*y + q*y**3.
y*(y - 2)*(y + 1)/6
What is b in 3/4*b**2 + 1/2*b**3 + 0 - 1/4*b**4 + 0*b = 0?
-1, 0, 3
Let f(u) be the third derivative of -u**5/30 + u**4/12 - 7*u**2. Factor f(a).
-2*a*(a - 1)
Let w be ((-3)/3 + -7)/(-2). Suppose 2 - 7*g**w + 6*g**4 - 4*g**2 + 3*g**4 = 0. What is g?
-1, 1
Let q be (((-416)/168)/13)/(10/(-45)). Determine y, given that 8/7 + q*y**2 - 2/7*y**4 - 4/7*y**3 + 16/7*y = 0.
-2, -1, 2
Factor 16*f**3 - 13*f - 2*f**4 - 3*f + f**4 - 3*f**4 + 4*f**2.
-4*f*(f - 4)*(f - 1)*(f + 1)
Let q(d) = -d**3 + 10*d**2 - 11*d + 22. Let a be q(9). Let y(i) be the first derivative of 0*i + 0*i**3 - 1/20*i**a - 1 + 0*i**2. Let y(k) = 0. What is k?
0
Let k be (-1)/((-3)/15*1). Determine x, given that 4*x**3 + 7*x**4 + 3*x**2 + 2 - 17*x**4 + 2*x**5 + 5*x**2 - 8*x + 2*x**k = 0.
-1, 1/2, 1
Suppose 2*c + 0 = 4. Suppose n**2 + 2*n - n - 2*n**c + n = 0. Calculate n.
0, 2
Let a(c) be the second derivative of c**4/36 - 11*c**3/54 - 2*c**2/9 + 18*c. Determine i, given that a(i) = 0.
-1/3, 4
Suppose 20 - 28 = -4*t. Let g(p) be the third derivative of 0 + 3*p**t + 3/16*p**4 - 1/80*p**5 + 0*p - 9/8*p**3. Factor g(z).
-3*(z - 3)**2/4
Let u(x) = 7*x - 12. Let s be u(2). Let m(t) be the second derivative of 1/30*t**4 + 0 + 0*t**3 + 1/25*t**5 + t + 0*t**s + 1/75*t**6. Factor m(f).
2*f**2*(f + 1)**2/5
Suppose -4*c**4 + 2*c - 38/5*c**3 - 12/5*c**2 + 4/5 = 0. Calculate c.
-1, -2/5, 1/2
Let o(v) be the third derivative of 1/780*v**6 - 1/2184*v**8 + 0*v + 0*v**5 + 0*v**7 + 0*v**3 + 0 - 2*v**2 + 0*v**4. Suppose o(n) = 0. Calculate n.
-1, 0, 1
Let r(b) be the second derivative of 0 - 3/2*b**2 + 1/4*b**4 - 5*b - 1/2*b**3 + 3/20*b**5. Find i such that r(i) = 0.
-1, 1
Let p = -1519/13 - -117. Let r = -137 - -137. Factor 0*v**3 + r*v - 2/13*v**4 + 0 + p*v**2.
-2*v**2*(v - 1)*(v + 1)/13
Let c be 8/(-10) + 20/25. Let l(b) be the third derivative of -1/105*b**7 + 0*b**3 + c + 0*b + 0*b**5 - b**2 + 0*b**6 + 0*b**4. Let l(n) = 0. What is n?
0
Let s(t) be the first derivative of t**6/180 - t**5/30 + t**4/12 - t**3/9 - 3*t**2/2 - 4. Let d(r) be the second derivative of s(r). Solve d(h) = 0 for h.
1
Let q(u) = u. Let b = 0 + -4. Let y(r) be the second derivative of r**5/10 + r**4/6 + 2*r**3/3 + 27*r. Let s(h) = b*q(h) + y(h). Factor s(n).
2*n**2*(n + 1)
Let x = -5 + 7. Suppose 0 = 4*z + 2*h + x - 4, 0 = -z - h - 2. Let 8*p + 2*p**2 - 12*p**z + p - 3 + p**2 + 3*p = 0. Calculate p.
-1, 1/4, 1
Let l(a) be the third derivative of a**9/60480 - a**8/10080 - a**7/5040 + a**6/360 + a**5/10 - 10*a**2. Let b(v) be the third derivative of l(v). Factor b(p).
(p - 2)*(p - 1)*(p + 1)
Let i(l) be the second derivative of 1/80*l**5 + 0*l**4 - 6*l + 0*l**3 + 0*l**2 + 0. Factor i(f).
f**3/4
Suppose -s + 3 = -3. Let u = 5 + s. Factor -u + 2*v + 6 - v**2 + 4.
-(v - 1)**2
Suppose -3*d + 0*d + 15 = 0. Factor -d*w**2 - w**3 + 5*w**2.
-w**3
Let n(z) be the second derivative of z**6/75 - 2*z**5/25 + 2*z**4/15 + 3*z. Let n(a) = 0. What is a?
0, 2
Let d(m) = m**3 - m**2 - 2*m + 2. Let w be d(2). Suppose -w*g + 1 = -7. Factor 3*n**2 - g*n - n**2 + 3 - 1.
2*(n - 1)**2
Let r(l) be the second derivative of l**6/15 - 2*l**5/5 + l**4/2 - 28*l. What is s in r(s) = 0?
0, 1, 3
Let c be (-6)/(-2 - (-2)/4). Let q(p) be the first derivative of -2*p**2 - 5*p**4 + 6*p**3 + 4*p**c - 5*p**4 + 2*p**5 - 1. Factor q(t).
2*t*(t - 1)**2*(5*t - 2)
Let o = 0 - -2. Determine q, given that -2*q**2 - 4*q - 4*q**2 + q**3 - 3*q**2 + 7*q**o + 8 = 0.
-2, 2
Let h(i) be the third derivative of 2*i**8/35 - 344*i**7/525 + 787*i**6/300 - 62*i**5/15 + 61*i**4/20 - 6*i**3/5 + 11*i**2. Let h(m) = 0. Calculate m.
1/4, 2/3, 3
Let d(w) be the first derivative of -w**2 - 2*w - 4 + w + 4 - 1 + w**3. Determine n so that d(n) = 0.
-1/3, 1
Factor -2/13*q**2 - 6/13*q**4 - 2/13*q**5 + 0*q + 0 - 6/13*q**3.
-2*q**2*(q + 1)**3/13
Let j(o) be the third derivative of o**9/241920 - o**8/40320 + o**7/20160 - o**5/30 - o**2. Let w(m) be the third derivative of j(m). Factor w(d).
d*(d - 1)**2/4
Let x(k) = -3*k**2 - 7*k + 6. Let y(d) = -d**2. Let b(g) = -x(g) + 4*y(g). Let b(u) = 0. What is u?
1, 6
Factor 4/3 + 10/3*i - 8*i**2.
-2*(3*i - 2)*(4*i + 1)/3
Suppose 3*b = 5*p - 4*p + 4, -3*b + 4*p = -16. Solve 2/5*r**4 + 0*r + b*r**3 - 2/5*r**2 + 0 = 0 for r.
-1, 0, 1
Suppose 12 = 3*y - 12. Suppose y*k**4 + 46/3*k**3 - 12*k**2 + 16/3 - 8*k - 6*k**5 = 0. Calculate k.
-1, 2/3, 2
Let h(p) = p**2 + p. Let t be h(1). Factor 5*k**2 + 0*k**t - k**3 + 3*k**2 + 2*k**3 + 4*k - 3*k**4.
-k*(k - 2)*(k + 1)*(3*k + 2)
Let w(g) be the third derivative of -g**7/3360 + g**6/480 - g**4/6 + 3*g**2. Let r(k) be the second derivative of w(k). Factor r(a).
-3*a*(a - 2)/4
Let s(i) = i - 10. Let f be s(10). Le