 8/9*f**3 + 1/2*f - 3 - 13/12*f**2. Factor r(q).
-(q - 3)*(2*q - 1)**2/6
Let g(p) = -60*p**4 - 219*p**3 - 141*p**2 - 6*p + 24. Let b(h) = 12*h**4 + 44*h**3 + 28*h**2 + h - 5. Let n(a) = 24*b(a) + 5*g(a). Suppose n(m) = 0. What is m?
-2, -1, -1/4, 0
Let a(r) be the third derivative of r**5/180 + r**4/36 + r**3/18 - 8*r**2. Suppose a(c) = 0. What is c?
-1
Let z be 1 + 1 - (-37)/(-1). Let d be ((-7)/z)/((-2)/(-5)). What is k in -1/2*k + 1 - d*k**2 = 0?
-2, 1
Let y(i) be the second derivative of 1/12*i**2 + 0 + 1/72*i**4 - 1/18*i**3 - i. What is v in y(v) = 0?
1
Let j(v) = -5*v**2 + 10*v + 6*v - 5*v**2 - 6. Let h(a) = -a**3 - 10*a**2 + 17*a - 6. Let i(u) = 2*h(u) - 3*j(u). Solve i(r) = 0 for r.
1, 3
Let z(d) = -2*d**4 + 2*d**3 - 6*d**2 + 6*d. Suppose 0 = 3*y - 5*f + 4 - 16, 0 = 5*f. Let g(l) = -l**4 + l**3 - l**2 + l. Let w(q) = y*g(q) - z(q). Factor w(p).
-2*p*(p - 1)**2*(p + 1)
Suppose -1 - 17 = -6*i. Solve 1/3*b**5 + 0 - b**i + 2/3*b**4 + 4/3*b - 4/3*b**2 = 0 for b.
-2, 0, 1
Let l(x) be the second derivative of -x**9/648 + x**8/945 + x**7/945 + x**3/6 - 4*x. Let o(t) be the second derivative of l(t). Factor o(u).
-2*u**3*(3*u - 2)*(7*u + 2)/9
Let u(f) = 6*f**4 - 4*f**3 - 21*f**2 - 9*f + 15. Let g(p) = -8 + p + 10*p**2 - 2*p**4 + 1 - p**4 + 3*p + 2*p**3. Let l(q) = 13*g(q) + 6*u(q). Factor l(y).
-(y - 1)**2*(y + 1)*(3*y + 1)
Let u(n) be the first derivative of 0*n**4 - 1/240*n**6 - n**2 + 0*n**3 + 0*n - 1/120*n**5 - 3. Let j(g) be the second derivative of u(g). Factor j(w).
-w**2*(w + 1)/2
Factor 15*c - 75/2 - 3/2*c**2.
-3*(c - 5)**2/2
Solve 4/5*h**2 - 4/5*h**3 - 6/5*h**4 + 2/5 + 6/5*h - 2/5*h**5 = 0 for h.
-1, 1
Let t(a) be the second derivative of 1/6*a**3 + a + 3/4*a**2 + 1/72*a**4 + 0. Factor t(r).
(r + 3)**2/6
Let u be (-8)/12 + 1/(-3)*-11. Suppose 11/6*c**u - c**2 + 0 + 1/6*c - c**4 = 0. What is c?
0, 1/3, 1/2, 1
Suppose -7*r - 5*m = -3*r - 19, 5*m = 5*r - 35. Let d = r + -6. Let 40/3*n**2 + 8/3*n + d - 70/3*n**4 + 22/3*n**3 = 0. What is n?
-2/5, -2/7, 0, 1
Let h(k) = 7*k**2 - 6*k - 5. Let a(q) = 8*q**2 - 6*q - 4. Let j(g) = 4*a(g) - 5*h(g). Factor j(s).
-3*(s - 3)*(s + 1)
Let w be 0*(-3 - 1 - (3 + -6)). Let j(n) be the second derivative of 0*n**4 + 0*n**5 + 0*n**2 + 1/90*n**6 + 0 + 2*n + w*n**3. Let j(f) = 0. Calculate f.
0
Let h(o) be the first derivative of -o**4/3 - 8*o**3/9 - 2*o**2/3 + 5. Factor h(q).
-4*q*(q + 1)**2/3
Let g(b) = -b**2 + 1. Let y(v) = -v**2 + v + 2. Let h be (3 - 57/15)*5. Let o(w) = h*y(w) + 6*g(w). Solve o(r) = 0.
-1
Suppose 0 = 2*h - 6*h + 8. Solve 0 + 2/5*g + 2/5*g**h = 0 for g.
-1, 0
Let a(n) = -n**3 - 5*n**2 - 4*n + 3. Let r = -32 - -28. Let d be a(r). Suppose -4/3*o**2 + 2*o**d + 0*o + 0 + 0*o**4 - 2/3*o**5 = 0. Calculate o.
-2, 0, 1
Suppose -r + 4*r = 9. Determine z, given that z**2 + z - 3*z + z**r + 0*z**2 = 0.
-2, 0, 1
Suppose f - 88 = 5*f. Let o be 2/11 - 40/f. Factor 4/9 - 4/9*k**o + 2/3*k - 2/3*k**3.
-2*(k - 1)*(k + 1)*(3*k + 2)/9
Let a(n) = 3*n**2 - 2*n - 3. Let c(r) = r**2 + r - 1. Let l(i) = -a(i) - 2*c(i). Solve l(o) = 0.
-1, 1
Let m(n) be the second derivative of -n**6/300 + n**5/150 + n**4/60 - n**3/15 - n**2/2 + 2*n. Let o(z) be the first derivative of m(z). What is i in o(i) = 0?
-1, 1
Let r(m) = 7*m**4 + 5*m**3 + 2*m - 14. Let u(l) = 15*l**4 + 10*l**3 - l**2 + 5*l - 29. Let c(y) = 13*r(y) - 6*u(y). Solve c(w) = 0.
-2, 1
Let k(q) = -2*q**2 + 2. Let j be k(1). Suppose -1/4*d**3 + 0*d**4 + 0*d**2 + 0*d + 1/4*d**5 + j = 0. What is d?
-1, 0, 1
Suppose -3*n + 0*n + 9 = 0. Factor -6*x**n + 22*x**3 - 2*x**2 - 15*x**3 + x.
x*(x - 1)**2
Suppose 8 = 4*g - 0*g - 2*w, 5*g - 4*w = 10. Suppose -c - 5*z = 20, -2*c - z + g*z = -4. Factor 2*q**2 + 2*q**3 - 4*q + 4*q + c*q**3.
2*q**2*(q + 1)
Suppose -3*n + 35 = -2*y, y + 15 = -3*n + 38. Let i = n + -4. Find x, given that 2/7*x**i + 0*x - 2/7*x**3 + 0 + 2/7*x**2 - 2/7*x**4 = 0.
-1, 0, 1
Let l = 4 - 2. Factor -2 + 3*h**3 - h**3 + 4 - 6*h**l + 6.
2*(h - 2)**2*(h + 1)
Let m(z) be the first derivative of -1/12*z**3 + 0*z**2 - 1 + 1/16*z**4 + 0*z. Factor m(b).
b**2*(b - 1)/4
Let k(g) = -5*g**4 + 3*g**3 + 3*g + 3. Let c(d) = 36*d**4 - 20*d**3 - 22*d - 22. Let j(n) = 6*c(n) + 44*k(n). Factor j(h).
-4*h**3*(h - 3)
Factor 2/7*z**4 - 2/7*z**2 - 2/7*z**5 + 2/7*z**3 + 0 + 0*z.
-2*z**2*(z - 1)**2*(z + 1)/7
Let s = 63 + -187/3. Let d(o) be the second derivative of 0 + s*o**2 - 1/9*o**4 + 7/30*o**5 + 2*o - 7/9*o**3. Find p, given that d(p) = 0.
-1, 2/7, 1
Suppose -8*n + 1840 = -3*n. Let r = -2572/7 + n. Suppose r*v - 2/7 - 2/7*v**2 = 0. Calculate v.
1
Let y(w) be the third derivative of w**6/120 + w**5/20 - 2*w**3/3 - 7*w**2. Let y(z) = 0. Calculate z.
-2, 1
Let i be ((-68)/51)/((-2)/3). Factor -4/7*w + 0 + i*w**3 + 10/7*w**2.
2*w*(w + 1)*(7*w - 2)/7
Let j(i) be the first derivative of -i**6/18 - i**5/3 - i**4/4 + i**3 + 8. Find q, given that j(q) = 0.
-3, 0, 1
Let k(t) be the third derivative of -1/240*t**5 + 1/96*t**4 + 0*t + 0 + 1/24*t**3 - 2*t**2 - 1/480*t**6. Factor k(j).
-(j - 1)*(j + 1)**2/4
Let b(s) = -3*s**5 - 6*s**4 + 15*s**3 + 6*s**2 - 6*s. Let m(x) = x**5 + x**3 - x. Let o(k) = b(k) - 6*m(k). Solve o(v) = 0.
-1, -2/3, 0, 1
Let t be ((-54)/(-12) - 5)/(-2). Find h such that -1/4 + 1/2*h - t*h**2 = 0.
1
Let i = 67/93 + -4/651. Solve -2/7*n + n**3 - i*n**2 + 0 = 0.
-2/7, 0, 1
Suppose -r + 20 = -0*r - 4*a, -4*a - 12 = r. Let p(h) be the second derivative of 1/3*h**4 - 1/8*h**5 - 1/2*h**2 + 0 + r*h - 1/12*h**3. Solve p(s) = 0.
-2/5, 1
Suppose -3*t = -3*m, 6*t - 5*m = 3*t - 6. Let i be 2/(-6) - (-14)/6. Factor -3/2*p**i + 3/4*p**5 - 7/4*p - 1/2 + 2*p**4 + p**t.
(p - 1)*(p + 1)**3*(3*p + 2)/4
Suppose -4*u + 4*i - i = 7, 4*u - i - 3 = 0. Find b, given that u*b**2 - 2*b**3 - 2/3*b + 0 + 2/3*b**4 = 0.
0, 1
Let m(t) = t**3 + 7*t**2 + 5*t - 2. Let c be m(-6). Suppose c*l - l**3 - 4*l**3 + 3*l**3 + 2*l**2 = 0. Calculate l.
-1, 0, 2
Suppose 0*k - 4*u = -k + 2, -5*u = -3*k + 6. Let x(j) = -5*j**2 - 2 + j**k + j + 5. Let p(a) = -3*a**2 + 2. Let c(v) = 3*p(v) - 2*x(v). Let c(s) = 0. What is s?
-2, 0
Let g(s) = 2*s**2 + 4*s. Let w be g(-3). Factor -2*u + 2*u - 3*u**5 - 6*u**2 + w*u**4 + 0*u + 3*u.
-3*u*(u - 1)**3*(u + 1)
Let i(m) be the second derivative of -m**6/75 - 7*m**5/50 - 4*m**4/15 + 16*m**3/15 - 2*m. Solve i(y) = 0.
-4, 0, 1
Let a(x) be the third derivative of x**8/6720 - x**6/720 - x**4/24 + 3*x**2. Let w(p) be the second derivative of a(p). Factor w(z).
z*(z - 1)*(z + 1)
Let t = 37 + -34. Factor 4/7*r + 16/7*r**t + 2*r**2 + 0 + 6/7*r**4.
2*r*(r + 1)**2*(3*r + 2)/7
Let s(v) be the first derivative of -v**5/15 - v**4/4 - v**3/9 + v**2/2 + 2*v/3 - 8. Find w such that s(w) = 0.
-2, -1, 1
Let m be (-50)/20 + (-155)/(-50). Suppose 6/5*d + 0 - m*d**2 = 0. What is d?
0, 2
Let r be 6*2/(21 - 1). Let p = 4 - 1. Suppose r*u + 1/5*u**p + 3/5*u**2 + 1/5 = 0. Calculate u.
-1
Let b(l) be the second derivative of 0*l**3 - 2/105*l**6 - 7*l + 0*l**2 - 1/70*l**5 - 1/147*l**7 + 0*l**4 + 0. Suppose b(j) = 0. Calculate j.
-1, 0
Factor -7/2*w**3 + 1 - w**2 + 7/2*w.
-(w - 1)*(w + 1)*(7*w + 2)/2
Factor 9*q**2 + q**2 - 8*q**2 - 1 - 1.
2*(q - 1)*(q + 1)
Let 72 - 140 - 4*p + 68 - 2*p**2 = 0. Calculate p.
-2, 0
Determine x so that -1190 - 11*x - 4*x**2 - x + 1182 = 0.
-2, -1
Suppose 0 + 14/3*k**2 + 4/3*k + 10/3*k**3 = 0. Calculate k.
-1, -2/5, 0
Let w(n) be the second derivative of -n**7/3360 - n**6/1440 + n**3/3 - n. Let y(d) be the second derivative of w(d). Find f such that y(f) = 0.
-1, 0
Let c be 40/54*15/10. Let 2/9*p**3 + c*p**2 + 16/9*p + 8/9 = 0. Calculate p.
-2, -1
Let p(c) = -c**3 - 7*c**2 + 2*c + 3. Let f be p(-7). Let w = 23/2 + f. Let -w*k**3 + 3/2*k - 1 + 0*k**2 = 0. Calculate k.
-2, 1
Factor 2/5*d - 1/5*d**3 + 0 - 1/5*d**2.
-d*(d - 1)*(d + 2)/5
Let l(i) = 5*i**4 + 3*i**3 - 2*i**2 + 4. Let h(w) = -14*w**4 - 8*w**3 + 6*w**2 - 11. Let c(b) = 4*h(b) + 11*l(b). Factor c(u).
-u**2*(u - 2)*(u + 1)
Suppose -7*r + 7*r + 4*r**2 + 45*r + r**2 = 0. Calculate r.
-9, 0
Let h(x) be the first derivative of -x**6/9 - 2*x**5/5 - x**4/2 - 2*x**3/9 - 6. What is a in h(a) = 0?
-1, 0
Suppose 0 = -7*p + 12*p - 30. Suppose -p*b + 2*b + 8 = 0. Determine l so that -1 - l - 1/4*l**b = 0.
-2
Let i(p) be the first derivative of -1/5*p - 3/10*p**2 - 1/20*p**4 - 1 - 1/5*p**3. Factor i(k).
-(k + 1)**3/5
Factor 2/3