6 + 13*u.
-2*(u - 2)*(u + 4)
Let r = -21 - -21. Let u(f) be the second derivative of 0 + f**2 - 1/3*f**4 + r*f**5 + 0*f**3 + 1/15*f**6 - 2*f. Suppose u(j) = 0. Calculate j.
-1, 1
Determine u, given that -2/3*u - 1/3 - 1/3*u**2 = 0.
-1
Let k(z) = -z**2 + 8*z - 15. Let h be k(5). Solve -1/3*n + h + 1/3*n**2 = 0 for n.
0, 1
Solve -36 + 24*z - z**2 - 5*z**2 + 2*z**2 = 0 for z.
3
Factor 0 + 2/7*r**4 + 4/7*r**3 - 4/7*r - 2/7*r**2.
2*r*(r - 1)*(r + 1)*(r + 2)/7
Let h be ((4 - 3) + 0 - 1)/(-2). Let u(w) be the first derivative of 87/4*w**4 + 3*w**2 + 81/5*w**5 - 2 + 9/2*w**6 + 13*w**3 + h*w. Solve u(k) = 0.
-1, -2/3, -1/3, 0
Let o(d) = 13*d**3 + 35*d**2 + 27*d + 5. Let v(q) = -20*q**3 - 52*q**2 - 40*q - 8. Let n(h) = -8*o(h) - 5*v(h). Determine z, given that n(z) = 0.
-4, -1, 0
Let m be ((-3)/(-8))/((-228)/(-152)). Find w such that 0*w - m*w**3 + 1/2*w**2 - 1/2*w**4 + 0 + 1/4*w**5 = 0.
-1, 0, 1, 2
Suppose 6*h - 25 = h. Let u(m) be the third derivative of -1/60*m**h - 3*m**2 + 0*m**3 + 0*m - 1/24*m**4 + 0. Factor u(y).
-y*(y + 1)
Let g(y) be the third derivative of -1/60*y**5 + 2*y**2 + 0 + 0*y + 1/6*y**3 + 0*y**4. Factor g(w).
-(w - 1)*(w + 1)
Let n be (-1)/10*(-235)/141. Find d, given that -1/3*d + 1/2 - n*d**2 = 0.
-3, 1
Let k = -9 - -14. Let g(o) be the second derivative of -1/3*o**3 + 0*o**2 + 1/10*o**k + 0 + 0*o**4 + o. Factor g(z).
2*z*(z - 1)*(z + 1)
Let p(o) be the third derivative of o**8/2016 + o**7/140 + o**6/48 - 5*o**5/72 - 7*o**2. Solve p(l) = 0 for l.
-5, 0, 1
Let d(x) be the third derivative of 0*x + 0*x**3 - 1/280*x**6 + 0*x**4 - 1/140*x**5 + 0 - 2*x**2. Factor d(u).
-3*u**2*(u + 1)/7
Let j(p) = -p**4 + 3*p**2 - 2*p. Let k(l) = l**4 + l**3 - 4*l**2 + 2*l. Let b(i) = -3*j(i) - 2*k(i). Let b(g) = 0. Calculate g.
-1, 0, 1, 2
Let n be (-10)/(-3) - (-2)/3. Suppose -5*w = -13 + 3. Suppose -n*d**w - d**3 + 3*d + 2*d**2 - 4*d = 0. Calculate d.
-1, 0
Determine f, given that 2/3*f**2 + 8/3*f**3 - 7/3*f - 1/3*f**5 - 4/3 + 2/3*f**4 = 0.
-1, 1, 4
Factor -4/5*u + 0 - 2*u**2 + 6/5*u**3.
2*u*(u - 2)*(3*u + 1)/5
Let q(u) be the second derivative of -u**5/70 - u**4/21 - 6*u. Suppose q(h) = 0. What is h?
-2, 0
Let m(l) be the second derivative of l**6/60 - 3*l**5/40 + l**4/8 - l**3/12 + 9*l. Factor m(q).
q*(q - 1)**3/2
Let x(q) = -5*q**4 - 4*q**3 - 5*q**2 + 3*q - 3. Let s(f) = 6*f**4 + 4*f**3 + 6*f**2 - 4*f + 4. Let c(z) = -3*s(z) - 4*x(z). Factor c(m).
2*m**2*(m + 1)**2
Let w(o) = -o**4 - o**3 - o**2. Let c(j) = -4*j**4 + 2*j**3 - 10*j**2 + 3*j. Let u(x) = -c(x) + 3*w(x). Factor u(q).
q*(q - 3)*(q - 1)**2
Suppose -8 = 27*z - 29*z. Let r(x) be the third derivative of x**2 + 0*x - 1/60*x**z - 1/15*x**3 + 1/300*x**6 + 1/150*x**5 + 0. Factor r(g).
2*(g - 1)*(g + 1)**2/5
Let p(n) be the second derivative of n**7/42 - n**6/6 + n**5/2 - 5*n**4/6 + 5*n**3/6 - n**2/2 - 5*n. Factor p(g).
(g - 1)**5
Determine g so that -3/4*g**2 + 1/4*g**4 - 1/4*g + 1/2 + 1/4*g**3 = 0.
-2, -1, 1
Let b(s) be the second derivative of 0 - 1/4*s**5 - 3*s + 2/3*s**4 - 1/6*s**3 - s**2. What is z in b(z) = 0?
-2/5, 1
Let m(c) = -6*c**4 + 10*c**3 - 4*c**2 - 6*c + 6. Let f(i) = -i**4 + i**3 + i - 1. Let s(r) = -6*f(r) - m(r). Factor s(p).
4*p**2*(p - 1)*(3*p - 1)
Let p(c) be the first derivative of 0*c**2 + 4 + 1/1440*c**6 + c**3 + 1/96*c**4 + 1/240*c**5 + 0*c. Let g(s) be the third derivative of p(s). Factor g(h).
(h + 1)**2/4
Let o(v) be the second derivative of -3*v - 1/4*v**4 - 1/10*v**6 + 0*v**2 - 3/10*v**5 + 0 + 0*v**3. Solve o(u) = 0.
-1, 0
Let q(x) be the second derivative of x + 3/10*x**6 + 0 + 1/2*x**3 - 3/20*x**5 + 0*x**2 - 3/4*x**4. Solve q(p) = 0.
-1, 0, 1/3, 1
Let b(d) = d**2 - 17*d + 16. Let z be b(16). Factor 0*g - g**4 - 5/3*g**3 + 3*g**5 + z - 1/3*g**2.
g**2*(g - 1)*(3*g + 1)**2/3
What is u in -10/9*u**2 - 4/9*u - 4/9*u**3 + 0 = 0?
-2, -1/2, 0
Let h(r) be the second derivative of -r**7/168 + r**6/120 + r**5/80 - r**4/48 + 9*r. Factor h(j).
-j**2*(j - 1)**2*(j + 1)/4
Let l be (-2)/3 + 24/9. Suppose 2*d - 1 = 5. Factor -d*v**2 - 4*v**2 + 9*v**l - 4*v.
2*v*(v - 2)
Suppose 93 + 5*b**2 - 42 - 35*b + 35*b**3 - 15*b**4 - 41 = 0. What is b?
-1, 1/3, 1, 2
Let q = 7/18 - 1/2. Let b = q + 4/9. Factor 1/3 + 0*u - b*u**2.
-(u - 1)*(u + 1)/3
Let g(w) = -w**4 + 33*w**3 - 9*w**2 - 13*w. Let c(x) = 17*x**3 - 4*x**2 - 7*x. Let r(p) = 5*c(p) - 3*g(p). Let r(m) = 0. What is m?
-1/3, 0, 1, 4
Find l such that 1/3 + 4/9*l + 1/9*l**2 = 0.
-3, -1
Let k(u) be the second derivative of -u**5/30 + u**3/3 - 2*u**2/3 - 11*u. Factor k(p).
-2*(p - 1)**2*(p + 2)/3
Let u(i) be the first derivative of -9*i**5/40 + 21*i**4/32 - 5*i**3/8 + 3*i**2/16 - 9. Factor u(n).
-3*n*(n - 1)**2*(3*n - 1)/8
Suppose -3*t + 140 = t. Let r = -173/5 + t. Factor -4/5*u**2 + 0 + r*u + 2/5*u**3.
2*u*(u - 1)**2/5
Let c be ((-20)/(-15) + -4)/((-2)/3). Let h(r) be the second derivative of 0 + 0*r**2 + 1/15*r**3 + 1/30*r**c - r. Factor h(w).
2*w*(w + 1)/5
Let m(n) be the first derivative of 24*n - 3 + 18*n**2 + 3/4*n**4 + 6*n**3. Factor m(q).
3*(q + 2)**3
Let n = -88 - -90. Factor 1/3*x**3 - 1/3 + x - x**n.
(x - 1)**3/3
Let n = 124 - 124. Let t(k) be the second derivative of 1/21*k**7 + 3*k - 1/30*k**5 + 19/180*k**6 - 1/4*k**4 - 2/9*k**3 + n - 1/12*k**2. What is d in t(d) = 0?
-1, -1/3, -1/4, 1
Solve -b**2 - 2/5*b + 0 - 3/5*b**3 = 0.
-1, -2/3, 0
Let o(i) be the second derivative of -i**2 + 5/3*i**3 + 3/10*i**5 - 2*i - 7/6*i**4 + 0. Determine t so that o(t) = 0.
1/3, 1
Suppose 0 = 5*y - 5*f - 35, -2*y + 5*f - 3 + 2 = 0. Factor -1134*c**2 + 1078*c**3 - 7 - y + 2187*c**4 - 5 + 300*c - 349*c**3.
3*(c + 1)*(9*c - 2)**3
Let q(w) = -4*w**4 + 2*w**3 + 4*w**2 + 4*w. Let h(o) = 10*o**2 - 4*o**2 + o**3 - 5*o**2 - o**4. Let j(p) = -6*h(p) + q(p). Solve j(m) = 0 for m.
-1, 0, 1, 2
Let l(s) be the second derivative of s**6/45 + s**5/6 + 4*s**4/9 + 4*s**3/9 + 4*s. Solve l(c) = 0 for c.
-2, -1, 0
Suppose -3*r - 16 = -22. Suppose 0 + 0*h - 1/4*h**4 + h**3 - h**r = 0. What is h?
0, 2
Determine j so that -3/5*j**2 + 0*j + 0 - 3/5*j**3 = 0.
-1, 0
Let m = -16 - -18. Factor 2*n**2 - n**2 - 9*n + n + 3*n**m.
4*n*(n - 2)
Let g be 3 + (-1 - (1 + -1)). Let k be -4 + ((-44)/(-8))/1. Determine c so that g*c**3 + 1/4 + 0*c - k*c**2 - 3/4*c**4 = 0.
-1/3, 1
Let f(k) be the first derivative of k**5/120 + k**4/48 - k**2 - 1. Let r(d) be the second derivative of f(d). Find p, given that r(p) = 0.
-1, 0
Let a be 24/(-42) - (9049/(-2520) - -3). Let j(p) be the third derivative of 0*p + 1/15*p**5 + 0 - a*p**6 + p**2 - 1/24*p**4 - 1/9*p**3. Factor j(o).
-(o - 1)**2*(7*o + 2)/3
Let u(f) be the third derivative of f**7/1365 - 7*f**6/780 + 3*f**5/65 - 5*f**4/39 + 8*f**3/39 - 6*f**2. Suppose u(d) = 0. What is d?
1, 2
Let p be (13 + -13)/(-1*1). Let f(w) be the second derivative of -2*w + 0*w**2 + 1/60*w**5 + 0 + 0*w**3 - 1/42*w**7 - 1/45*w**6 + p*w**4. Factor f(s).
-s**3*(s + 1)*(3*s - 1)/3
Let f(a) be the first derivative of a**5/20 - 3*a**4/8 + a**3 + a**2 + 5. Let b(p) be the second derivative of f(p). Determine u, given that b(u) = 0.
1, 2
Suppose 0 = -3*v - 7*v - 3*v. Factor 1/2*j**3 + 0 + v*j**2 + 0*j - 1/4*j**4.
-j**3*(j - 2)/4
Let p = 1586748 - 1470915880/927. Let m = -8/103 - p. Factor -2/9*i**2 - 2/9 - m*i.
-2*(i + 1)**2/9
Suppose 30 = h - 13. Let w = h - 212/5. Factor 1/5*j**5 - w*j - 1/5 + 2/5*j**3 - 2/5*j**2 + 3/5*j**4.
(j - 1)*(j + 1)**4/5
What is s in 2/3*s**3 + 8/3 - 2/3*s**2 - 8/3*s = 0?
-2, 1, 2
Let s(j) = 5*j + 247. Let t be s(-49). Suppose 2/3*v**3 - 2/3*v + 0 + 0*v**t = 0. What is v?
-1, 0, 1
Factor 2/5*l**2 + 0 - 4/5*l + 4/5*l**3 - 2/5*l**4.
-2*l*(l - 2)*(l - 1)*(l + 1)/5
Let g(o) be the first derivative of -o**6/120 + o**5/40 - o**4/48 + 9*o + 9. Let w(r) be the first derivative of g(r). Factor w(j).
-j**2*(j - 1)**2/4
Let u(w) = w**2 - w - 1. Suppose 2*p + 1 + 1 = 0. Let k(c) = -c**4 + 2*c**3 + c**2 - 2*c - 2. Let l(i) = p*k(i) - 2*u(i). Suppose l(a) = 0. What is a?
-1, 2
Let g(o) be the first derivative of o**3 - 4 + 1/4*o**4 + o**2 + 0*o. Factor g(z).
z*(z + 1)*(z + 2)
Let o be ((3 - 1) + 18)/2. Let m be 1/o + (-4)/(-10). Suppose -1/2*d + 1/2*d**2 + 1/2*d**3 - m = 0. What is d?
-1, 1
Let d be -1 - (3 - (0 - 138/(-33))). Let j(q) be the first derivative of 4/11*q - 1/11*q**2 - 1 - d*q**3. Factor j(z).
-2*(z + 1)*(3*z - 2)/11
Suppose 3*m = -4*x