 Factor -3/2*g**3 - 9/2*g - 3/2 - b*g**f.
-3*(g + 1)**3/2
Let h(s) = s**3 + 5*s**2 - 3*s + 7. Let q be h(-5). Suppose 5*b - q = -2. What is o in 0 + 11/4*o**2 + 7/4*o**4 - 1/2*o - b*o**3 = 0?
0, 2/7, 1
Suppose 0 = h - 2*i + 5, -25 = -3*h - i - 3*i. Let x(b) be the first derivative of 1/20*b**5 - 2 + 0*b - 1/12*b**h + 0*b**2 + 0*b**4. Factor x(o).
o**2*(o - 1)*(o + 1)/4
Let l be -4 - (-3)/12*-29. Let n = -11 - l. Factor -n*s**3 + 0*s + 3/4*s**4 + 0*s**2 + 0 - 1/2*s**5.
-s**3*(s - 1)*(2*s - 1)/4
Let f be (1 - -1)/((-2)/1). Let s = f + 4. Suppose -c - 2 + 2*c + 2*c**4 - 4*c**s + 3*c = 0. Calculate c.
-1, 1
Factor -6/7*r**2 - 9/7*r + 3/7*r**3 + 0.
3*r*(r - 3)*(r + 1)/7
Let h(f) = f - 8. Let v(t) = -3*t + 17. Let b(n) = -7*h(n) - 4*v(n). Let r be b(3). Suppose 5/3*z**4 + 0 + 4/3*z + 16/3*z**2 + 17/3*z**r = 0. Calculate z.
-2, -1, -2/5, 0
Let q(u) be the third derivative of 2*u**7/21 + 4*u**6/15 + u**5/15 - u**4/3 + 6*u**2. Factor q(c).
4*c*(c + 1)**2*(5*c - 2)
Let c be (-10)/40*(-4 - (2 - -1)). What is r in -3/2*r**3 + 0 - 1/4*r**2 - 1/2*r**5 + c*r**4 + 1/2*r = 0?
-1/2, 0, 1, 2
Find u, given that 1/4*u**4 - 1/4*u**5 - 1/4*u**2 + 0 + 0*u + 1/4*u**3 = 0.
-1, 0, 1
Let d(c) be the second derivative of -1/5*c**5 + 0*c**2 + 0 - 6*c + 0*c**4 + 1/21*c**7 + 1/15*c**6 + 0*c**3. Factor d(l).
2*l**3*(l - 1)*(l + 2)
Let c = 926241/26 + -35629. Let l = 2/13 - c. Suppose 0 + 0*b**2 - 3/2*b - 3*b**4 + l*b**3 = 0. What is b?
-1/2, 0, 1
Let b(q) = -q - 2. Let t be b(-5). Factor 2 - 2 + 4 + 6*o**3 - 1 - t*o**4 - 6*o.
-3*(o - 1)**3*(o + 1)
Let w(d) be the third derivative of d**9/1260 - d**7/280 - d**6/240 - d**4/4 + 5*d**2. Let x(z) be the second derivative of w(z). What is q in x(q) = 0?
-1/2, 0, 1
Determine z so that 8*z**3 + 149*z + 16*z**5 - 149*z - 36*z**4 = 0.
0, 1/4, 2
Let p(n) be the first derivative of 1/2*n**2 + 1 + 0*n**4 + 1/180*n**5 + 0*n**3 + 0*n. Let z(v) be the second derivative of p(v). Suppose z(a) = 0. What is a?
0
Factor 0 + 2/11*o**5 + 0*o - 2/11*o**4 - 2/11*o**3 + 2/11*o**2.
2*o**2*(o - 1)**2*(o + 1)/11
Let l(t) = 8*t - 14. Let i be l(-10). Let f = 286/3 + i. Suppose 0 + 2/3*n**3 - 2/3*n + f*n**4 - 4/3*n**2 = 0. Calculate n.
-1, -1/2, 0, 1
Suppose 6*f - 55*f**4 + 7*f**4 + 3 + 45*f**2 + 24*f**3 - 30*f = 0. What is f?
-1, 1/4, 1
Let w = -11 - -13. Factor -d**5 - 12*d**4 - 2*d**5 - d**w - 18*d**3 - 11*d**2 - 3*d.
-3*d*(d + 1)**4
Let h be (13/78)/((-1)/(-13)). Solve h*b**3 - 5/6*b**4 - 3/2*b**2 + 1/3 - 1/6*b = 0 for b.
-2/5, 1
Let k(b) be the second derivative of -b**7/315 + b**6/90 - b**5/90 + b**2 + 3*b. Let v(y) be the first derivative of k(y). Let v(a) = 0. What is a?
0, 1
Let g(r) be the third derivative of 0*r + 1/180*r**5 + 0*r**3 - r**2 - 1/36*r**4 + 0. Find l such that g(l) = 0.
0, 2
Let o(a) = 2*a**2 - 8*a + 2. Let q(g) = g**2 - 8*g + 3. Let w(d) = 3*o(d) - 2*q(d). Factor w(h).
4*h*(h - 2)
Let o(p) be the first derivative of 7*p**4/12 - 3*p**3/2 + p**2 + 2*p + 3. Let g(x) be the first derivative of o(x). Find s such that g(s) = 0.
2/7, 1
Let x(w) be the first derivative of -w**6/10 + 9*w**5/25 - 3*w**4/10 - 2*w**3/5 + 9*w**2/10 - 3*w/5 + 9. Suppose x(b) = 0. Calculate b.
-1, 1
Factor z**3 + 16*z**2 + 8*z**4 - 4*z + z**3 - 22*z**3.
4*z*(z - 1)**2*(2*z - 1)
Factor 0 + 0*f - 2/5*f**2.
-2*f**2/5
Let r(d) be the second derivative of d**7/10080 - d**6/1440 + d**5/480 - d**4/12 + 3*d. Let u(x) be the third derivative of r(x). Factor u(g).
(g - 1)**2/4
Let j(u) be the first derivative of u**7/1260 + u**6/108 + u**5/60 - u**4/4 + 2*u**3 + 7. Let o(f) be the third derivative of j(f). Let o(d) = 0. Calculate d.
-3, 1
Let v(u) be the third derivative of 0*u - 1/36*u**4 - 3*u**2 - 1/504*u**8 + 0*u**7 + 0 + 0*u**3 + 0*u**5 + 1/90*u**6. Determine y so that v(y) = 0.
-1, 0, 1
Let w(j) be the first derivative of j**7/2940 + j**6/1260 - j**5/84 + j**4/28 - 4*j**3/3 + 4. Let p(t) be the third derivative of w(t). Factor p(z).
2*(z - 1)**2*(z + 3)/7
Suppose -9*d = 5*d - 70. Let p(a) be the second derivative of -2*a + 1/20*a**d + 0*a**2 + 0*a**4 + 0 - 1/6*a**3. Factor p(h).
h*(h - 1)*(h + 1)
Let w(f) be the first derivative of -f**4/6 + 2*f**3/3 - f**2 - 4*f - 8. Let m(d) be the first derivative of w(d). Factor m(p).
-2*(p - 1)**2
Let b(q) = 2*q**3 - 31*q**2 - 16*q + 2. Let a be b(16). Factor -8/7 - 90/7*d**a - 48/7*d - 50/7*d**3.
-2*(d + 1)*(5*d + 2)**2/7
Let j be -6*((-1)/45)/((-29)/(-87)). Factor -8/5*f - j*f**2 - 8/5.
-2*(f + 2)**2/5
Let h = 75/2 - 37. Factor 0 - 5/2*i**5 - 13/2*i**4 + h*i**2 - 9/2*i**3 + i.
-i*(i + 1)**3*(5*i - 2)/2
Let l(w) = 7*w**2 + 2. Let r(n) = 4*n**2 + 1. Let b(t) = -3*l(t) + 5*r(t). Let k(h) = -8*h**2 + 2*h - 2. Let a(j) = 6*b(j) - k(j). Factor a(u).
2*(u - 2)*(u + 1)
Determine d, given that 3*d**2 + 9/2*d + 1/2*d**3 + 0 = 0.
-3, 0
Let z = 1 + 1. Let u be z + 3/6*0. Let -3 + 0*a + a**u - a + 1 = 0. Calculate a.
-1, 2
Let o(m) be the second derivative of m - 1/42*m**7 + 0*m**6 + 0 + 0*m**3 + 0*m**2 + 1/20*m**5 + 0*m**4. Solve o(z) = 0 for z.
-1, 0, 1
Let c(o) = -4*o**4 - 4*o**3 + 8*o**2 - 8*o. Let v(u) = -4*u**4 - 5*u**3 + 7*u**2 - 8*u. Let q(n) = -5*c(n) + 4*v(n). Factor q(s).
4*s*(s - 1)**2*(s + 2)
Let g = 4 + -5. Let n = g + 5. Factor -6*s + 2*s**4 + 0*s**4 + 2*s - 2 + n*s**3.
2*(s - 1)*(s + 1)**3
Let x(u) = -u**5 + u**4 + u - 1. Let n(k) = -5*k**5 + 4*k**3 + 2*k**2 + k - 2. Let r(h) = 5*n(h) - 10*x(h). Find i such that r(i) = 0.
-1, 0, 1/3, 1
Determine y, given that 1/5*y**3 - 6/5*y**2 + 2/5*y**4 - 7/5*y - 2/5 = 0.
-1, -1/2, 2
Suppose 2*z - 18 = -10. Let f(c) be the first derivative of 2 + 0*c**2 + 0*c + 1/3*c**3 - 1/4*c**z. Factor f(s).
-s**2*(s - 1)
Let k(g) be the first derivative of -g**7/189 + g**5/45 - g**3/27 - 3*g + 1. Let a(w) be the first derivative of k(w). Factor a(d).
-2*d*(d - 1)**2*(d + 1)**2/9
Let j(s) be the third derivative of s**8/336 + s**7/105 - s**6/120 - s**5/30 - 6*s**2. What is q in j(q) = 0?
-2, -1, 0, 1
Let t(m) be the first derivative of m**8/1512 - 2*m**7/945 + m**5/135 - m**4/108 - m**2 - 3. Let a(d) be the second derivative of t(d). Factor a(p).
2*p*(p - 1)**3*(p + 1)/9
Let r be ((-12)/30)/(1/(-5)). Let x be 319/308 - r/7. Find a such that x*a + 1/4*a**2 + 1/2 = 0.
-2, -1
Let j(f) be the first derivative of 7 - 2/3*f**3 + 2*f - f**2 + 1/2*f**4. Factor j(z).
2*(z - 1)**2*(z + 1)
Let w(r) be the third derivative of 3*r**8/224 - r**7/35 - r**6/20 - 19*r**2. What is s in w(s) = 0?
-2/3, 0, 2
Suppose -4*k = -16, 0 = -4*u - 0*u - 4*k + 24. Let l(i) be the first derivative of 1 + 2*i**u + 0*i - 2/3*i**3. Determine q so that l(q) = 0.
0, 2
Factor 2/5*w**2 + 2/5*w + 0.
2*w*(w + 1)/5
Suppose 3*p - 9 - 3 = 0. Find k such that -2*k**4 - 2 + p*k**2 + 19*k - 19*k = 0.
-1, 1
Let i(m) = m**3 - m**2 - m + 1. Let n(f) = -3*f**3 + 7*f**2 + 3*f - 7. Let c(v) = 4*i(v) + n(v). Suppose c(d) = 0. Calculate d.
-3, -1, 1
Let w(f) be the first derivative of 1/3*f**2 - 2/3*f**3 - 2/3*f**4 + 3 + 0*f. Let w(g) = 0. Calculate g.
-1, 0, 1/4
Let 85*z + 260*z**2 + 7 - 11 + 9 = 0. Calculate z.
-1/4, -1/13
Let v(c) = -c**2 + 9*c - 8. Let q(l) = l + 4. Let g be q(4). Let d be v(g). Find i, given that 1/3*i + 1/3*i**2 + d = 0.
-1, 0
Let c(x) be the second derivative of -x**5/60 + x**4/36 + x**3/18 - x**2/6 + 7*x. Factor c(j).
-(j - 1)**2*(j + 1)/3
Suppose 3*s + 6 + 21 = 0. Let q be s*1/5 + 2. Let -1/5*t**3 + 1/5*t**2 - 1/5*t**4 + q*t + 0 = 0. What is t?
-1, 0, 1
Let v(w) be the third derivative of w**6/360 + w**5/20 + 3*w**4/8 + w**3/6 - 2*w**2. Let j(k) be the first derivative of v(k). Factor j(y).
(y + 3)**2
Suppose -1/6*c + 0 - 1/6*c**2 = 0. What is c?
-1, 0
Let q(k) be the first derivative of 2/35*k**5 - 4 + 0*k**2 + 1/7*k**4 + 2/21*k**3 + 0*k. Determine g, given that q(g) = 0.
-1, 0
Let b(c) be the third derivative of -4*c**2 + 0 - 1/40*c**6 + 1/10*c**5 + 0*c**3 + 0*c - 1/8*c**4. Factor b(l).
-3*l*(l - 1)**2
Let p(d) be the second derivative of d**5/30 - d**4/6 + 2*d**3/9 - 16*d. Let p(a) = 0. Calculate a.
0, 1, 2
Let k(u) = u**3 + 3*u**2 - 11*u - 5. Let m be k(-5). Factor 1/3*z**2 - 1/3*z**4 - 1/3*z + 1/3*z**3 + m.
-z*(z - 1)**2*(z + 1)/3
Let u = 121/10 - 21/2. Factor 2/5*b**2 - u*b + 8/5.
2*(b - 2)**2/5
Let z(b) = -7*b + 15. Let j(q) = q**2 - q + 1. Let d(g) = j(g) + z(g). Solve d(s) = 0.
4
Solve -18/5 - 128/5*b**2 - 96/5*b 