or -10*o**4 + 7*o**w - 3*o**5 - 6*o**2 + o - o**5 + 12*o**3.
o*(o - 1)**3*(3*o - 1)
Let u(w) be the third derivative of 0 + 0*w - 1/840*w**7 + 2*w**2 + 1/240*w**6 - 1/24*w**3 - 1/1344*w**8 + 1/120*w**5 - 1/96*w**4. Let u(t) = 0. Calculate t.
-1, 1
Let q(g) = -g**2 - 5*g - 4. Let h be q(-3). Suppose h*l = -3*l. Suppose l*f**2 - 1/2 - 1/4*f**3 + 3/4*f = 0. What is f?
-2, 1
Let z(q) be the third derivative of -4*q**7/175 + 17*q**6/100 - 2*q**5/5 + q**4/5 + 19*q**2. Factor z(t).
-6*t*(t - 2)**2*(4*t - 1)/5
Let y(r) = -22*r**4 + 64*r**3 - 74*r**2 + 36*r - 8. Let q(x) = -x**4 + x**3 - x. Let o(p) = 4*q(p) - y(p). Solve o(z) = 0 for z.
2/3, 1
Let t(c) be the third derivative of c**8/1176 + c**7/735 + c**2. Suppose t(f) = 0. What is f?
-1, 0
Suppose -4*q = -4 - 4. Factor -2*l**5 + 5*l**4 + 4*l + l**q - l**4 - 5*l**2 - 2*l.
-2*l*(l - 1)**3*(l + 1)
Let s(m) be the third derivative of 23/180*m**5 + 0 + 1/12*m**4 + 0*m + 7/360*m**6 - m**2 + 0*m**3. Factor s(u).
u*(u + 3)*(7*u + 2)/3
Let t(s) be the third derivative of 0*s**4 + 0*s**3 + 0 + 5*s**2 + 1/90*s**5 + 1/360*s**6 + 0*s. Factor t(x).
x**2*(x + 2)/3
Let o(c) be the second derivative of -c**5/30 - c**4/6 - 2*c**3/9 - 28*c. Factor o(s).
-2*s*(s + 1)*(s + 2)/3
Let t(j) be the third derivative of j**8/1512 - 11*j**7/1890 + 7*j**6/360 - 4*j**5/135 + j**4/54 + 2*j**2. Find f such that t(f) = 0.
0, 1/2, 1, 2
Let p(i) be the third derivative of -i**10/226800 + i**8/30240 - i**5/20 + i**2. Let t(j) be the third derivative of p(j). Factor t(s).
-2*s**2*(s - 1)*(s + 1)/3
Let h = -1/52 - -113/468. Suppose h*j**2 - 2/9*j - 4/9 = 0. Calculate j.
-1, 2
Let t = 2 + 0. Factor -n**4 + 9*n**t - 3*n + 3*n**5 + 0*n**2 - 3*n**2 - 5*n**4.
3*n*(n - 1)**3*(n + 1)
Suppose p - 6*p + 25 = 2*k, -7 = k - 4*p. Factor -2/3*d**4 + 0*d + 0 + 2/3*d**2 - 1/3*d**3 + 1/3*d**k.
d**2*(d - 2)*(d - 1)*(d + 1)/3
Suppose 2*a + 2*w - 34 = 4*w, 3*a + 4*w - 72 = 0. Determine q so that -10*q**4 - 10*q - 16*q**3 - a*q**2 - 3*q**5 - 4*q**3 + q**5 - 2 = 0.
-1
Let k(v) be the third derivative of -v**8/336 + v**7/420 + v**6/40 + v**5/120 - v**4/24 - 11*v**2. Suppose k(m) = 0. Calculate m.
-1, 0, 1/2, 2
Let s(c) = 7*c + 2 - 2 - 1. Let w be s(1). Find b, given that -1 + 17 + b**4 + 26*b + 24*b**2 + w*b + 8*b**3 = 0.
-2
Factor -11*j**3 + 4*j**3 + 9*j**3.
2*j**3
Suppose -4*q + 20 = 8. Solve -9/4 + q*f - 3/4*f**2 = 0 for f.
1, 3
Let s = 2 - 2. Suppose s = m - 6*m. Factor m - 1/2*t - 1/2*t**2.
-t*(t + 1)/2
Let h(r) be the second derivative of -1/30*r**5 + 0*r**2 + 0*r**4 + 1/9*r**3 + 0 + 3*r. Suppose h(f) = 0. What is f?
-1, 0, 1
Suppose i = -2*f - 4*i - 19, 0 = 3*f + 4*i + 11. Find z, given that 1/2*z**4 + 0 - 1/2*z**2 + 1/4*z**5 - 1/4*z + 0*z**f = 0.
-1, 0, 1
Suppose 0 = 3*k - 0*k - 174. Let -54*l**3 - 3*l**2 + k*l**3 + 2 - 4*l**2 + 2*l - 1 = 0. Calculate l.
-1/4, 1
Suppose 0 = 2*s - 8 - 0. Let b = 203/3 + -67. Factor 4/3*r**3 + 0 - 2/3*r**5 - b*r + 0*r**s + 0*r**2.
-2*r*(r - 1)**2*(r + 1)**2/3
Let f(c) be the second derivative of c**6/6 - c**5/2 + 5*c**3/3 - 5*c**2/2 + 6*c. Factor f(l).
5*(l - 1)**3*(l + 1)
Let a(x) = 4*x**4 - 4*x**3 - x**2 - 2*x + 3. Let q(w) = -5*w**4 + 5*w**3 + w**2 + 3*w - 4. Let d(u) = 4*a(u) + 3*q(u). Factor d(y).
y*(y - 1)**2*(y + 1)
Find m, given that -4*m**4 - 4*m**2 + 8*m**3 + 0*m**3 - 12*m + 8 + m**3 + 3*m**3 = 0.
-1, 1, 2
Let b(m) = m**3 + m**2 - m - 3. Let z(w) = -3. Let x(q) = -3*b(q) + 2*z(q). Factor x(s).
-3*(s - 1)*(s + 1)**2
Let p(m) be the third derivative of -m**8/47040 + m**6/1260 + m**4/6 - 4*m**2. Let c(f) be the second derivative of p(f). Suppose c(a) = 0. What is a?
-2, 0, 2
Let i = 5 - 1. Let v = i + -3. What is t in -9*t**2 - 3 - 2*t + 14*t - v = 0?
2/3
Find z such that -10/9 - 1/9*z**2 + 11/9*z = 0.
1, 10
Let z be ((-3)/3 - -6) + -2 - 0. Let j(k) be the second derivative of 0*k**2 + 0 + 2*k - 1/6*k**z + 1/12*k**4. Let j(s) = 0. What is s?
0, 1
Let k(z) be the first derivative of z**5/20 - z**4/3 + 5*z**3/6 - z**2 + 3*z + 1. Let r(s) be the first derivative of k(s). Suppose r(q) = 0. Calculate q.
1, 2
Let c(k) = k + 4. Let l be c(0). Let x be (-24)/(-14) - l/(-14). Factor 0*z - 1/3 + 1/3*z**x.
(z - 1)*(z + 1)/3
Determine y so that 8 + 2*y**2 + 13*y - 28 - 31*y = 0.
-1, 10
Let c = -8 - 6. Let a be 2/(-1) + (-44)/c. Find y, given that 2/7*y**2 + 8/7 - a*y = 0.
2
Let p = -5 + 8. Suppose 10 = p*k + 1. Find b such that -2*b**2 + 4*b + 1 + 3 + k*b**2 = 0.
-2
Let c(x) be the first derivative of -4*x**5/25 + x**4/5 + 8*x**3/15 + 32. Let c(v) = 0. Calculate v.
-1, 0, 2
Let j(w) = -w - 1. Let k(c) = c**2 - c + 1. Let u(o) = -3*j(o) - 3*k(o). Suppose u(n) = 0. What is n?
0, 2
Suppose -2*y = -6*y - 16. Let a be 4/7*y/(-8). Factor -4/7*c**3 + 0*c**2 - a*c**4 + 0*c + 20/7*c**5 + 0.
2*c**3*(2*c - 1)*(5*c + 2)/7
Let p(r) = 2*r**2 - 3*r + 3. Let g = 6 - 4. Let t be p(g). Factor 0*v**3 + 0 + 0*v - 2/7*v**t + 0*v**2 - 2/7*v**4.
-2*v**4*(v + 1)/7
What is w in -1/3*w**4 - 1/3 - 4/3*w - 4/3*w**3 - 2*w**2 = 0?
-1
Let r(a) = a**2 - 14*a + 2. Let d be r(14). Let -2*p**2 + 2*p - d*p = 0. What is p?
0
Suppose -37 = -h - 3*x + 20, 274 = 5*h + 4*x. Let o = -160/3 + h. What is g in -2/3*g**2 + 0 - o*g = 0?
-1, 0
Let g(a) be the second derivative of -a**4/8 + a**3/2 - 3*a**2/4 + a. Find p such that g(p) = 0.
1
Let s(i) = -i**2 - 4*i + 7. Let j be s(-5). Suppose -13 - j = -5*c. Factor -2*u**2 - 8*u**c - 3*u**4 - 8*u**2 + 3*u**2 - 2*u.
-u*(u + 1)**2*(3*u + 2)
Suppose -996*t + 989*t + 21 = 0. Factor -4/5*i**4 + 24/5*i**t + 48/5*i - 52/5*i**2 - 16/5.
-4*(i - 2)**2*(i - 1)**2/5
Let w(d) = 4 + 4*d**2 - 2 - 4*d**2 - 2*d**2. Let n(b) = -4*b**2 - b + 5. Let u(h) = -2*n(h) + 5*w(h). Solve u(m) = 0 for m.
0, 1
Factor o + 0*o**2 - o**2 - 4*o - 2*o**2.
-3*o*(o + 1)
Let d(j) be the first derivative of 2*j**3/3 + 8*j**2 + 32*j + 8. Suppose d(m) = 0. Calculate m.
-4
Let z = 0 + -1. Let u(h) = 6*h**3 - 2*h**2 - 2*h + 4. Let k(v) = -v**4 - v**3 + v**2 - v - 1. Let y(s) = z*u(s) - 2*k(s). Factor y(b).
2*(b - 1)**3*(b + 1)
Let y = 2723/4983 - -9/151. Let f = -3/11 + y. Determine b so that 1/3 + b**2 + f*b**3 + b = 0.
-1
Factor 2*q + 0 - 3/4*q**4 - 1/2*q**3 + 3*q**2.
-q*(q - 2)*(q + 2)*(3*q + 2)/4
Let j(q) be the second derivative of -q**6/75 + q**4/30 - 2*q. Determine y so that j(y) = 0.
-1, 0, 1
Let l(z) be the third derivative of 0 - 3*z**2 + 0*z + 0*z**3 - 1/84*z**4 - 1/420*z**6 + 1/105*z**5. Factor l(x).
-2*x*(x - 1)**2/7
Let z(t) = -t**4 + t**3 - t. Let l(a) = 4*a**4 - 6*a**3 + 3*a**2 + 6*a - 2. Let k(c) = -2*l(c) - 10*z(c). Determine q, given that k(q) = 0.
-2, -1, 1
Let i(w) = -5*w**2 + 9*w - 4. Let c(f) = f + 3. Let a be c(-2). Let j(t) = -2*t + 0*t + a + t**2 - t**2 + t**2. Let m(p) = -2*i(p) - 9*j(p). Factor m(s).
(s - 1)*(s + 1)
Let f(h) be the first derivative of 0*h**2 - 5 - 1/9*h**6 - 4/15*h**5 + 0*h**3 - 1/6*h**4 + 0*h. Solve f(w) = 0.
-1, 0
Factor 4/5 + 5*z**2 + 4*z.
(5*z + 2)**2/5
Find v, given that -3*v**4 - 5*v**2 + 0*v**5 + 5*v**2 + 3*v**5 = 0.
0, 1
Let k(p) be the first derivative of -5 + 0*p**3 + 1/10*p**5 - 1/12*p**6 + 0*p + 0*p**4 + 0*p**2. Let k(r) = 0. What is r?
0, 1
Let o = -36/11 - -587/176. Let k(r) be the second derivative of 1/60*r**6 - 1/24*r**3 + 0*r**2 + 0 + 1/12*r**4 - 2*r - o*r**5. Suppose k(j) = 0. What is j?
0, 1/2, 1
Solve -8*h**3 - h - 8*h**2 + 5*h + 4*h**5 + 4 - h**4 + 8*h**4 - 3*h**4 = 0 for h.
-1, 1
Let j(w) be the second derivative of w**4/12 - 2*w**3/3 + 2*w**2 - 6*w. Let j(q) = 0. Calculate q.
2
Suppose 9/2*o**4 - 3/2*o + 15/2*o**2 - 21/2*o**3 + 0 = 0. Calculate o.
0, 1/3, 1
Let m = 3827/9 - 425. Factor -10/9*n**3 - m*n**5 + 0 - 8/9*n**4 + 0*n - 4/9*n**2.
-2*n**2*(n + 1)**2*(n + 2)/9
Let t(p) be the first derivative of p**6/1440 - p**5/160 + p**4/48 - p**3 + 1. Let k(q) be the third derivative of t(q). Suppose k(g) = 0. What is g?
1, 2
Let j(u) be the third derivative of -u**5/15 + 2*u**3/3 - 4*u**2. Suppose j(k) = 0. Calculate k.
-1, 1
Let s(w) be the second derivative of -w**6/10 + 9*w**5/10 - 13*w**4/4 + 6*w**3 - 6*w**2 + 61*w. Solve s(y) = 0.
1, 2
Let p(y) be the third derivative of y**7/2940 + y**6/1260 + y**3/3 + y**2. Let g(n) be the first derivative of p(n). Determine f so that g(f) = 0.
-1, 0
Suppose 18 = 5*m + v, 0 = v - 5*v + 12. Factor 4*f**2 - 2*f + m*f**2 + 0*f.
f*(7*f - 2)
What is l in -7*l - 28