
2*(y + 4)**3/7
Let o = 54/35 + -8/7. Factor -6/5*c**3 + 6/5*c**2 - 2/5*c + o*c**4 + 0.
2*c*(c - 1)**3/5
Factor 0*k**2 - 1/5*k**3 + 0 + 1/5*k.
-k*(k - 1)*(k + 1)/5
Let b(l) be the first derivative of l**6/2 - 3*l**5/5 - 3*l**4/4 + l**3 - 47. Let b(h) = 0. What is h?
-1, 0, 1
Let k(x) be the first derivative of -1/8*x**2 + 1/12*x**3 + 1/16*x**4 + 0*x - 1/20*x**5 + 5. Factor k(j).
-j*(j - 1)**2*(j + 1)/4
Let x(p) be the third derivative of p**6/40 + p**5/4 + p**4 + 2*p**3 + 7*p**2. What is o in x(o) = 0?
-2, -1
Let k(g) be the first derivative of 1 - 8/15*g**5 + 0*g - 22/9*g**3 - 13/6*g**4 - 2/3*g**2. Suppose k(w) = 0. Calculate w.
-2, -1, -1/4, 0
Let v be (-12)/8 - (-14)/4. Let h(j) be the first derivative of -1/6*j**v + 1/9*j**3 - 1 + 0*j. Determine n so that h(n) = 0.
0, 1
Let s(t) = -3*t**5 - 6*t**4 + 3*t**3 + 18*t**2 + 12*t - 12. Let u(v) = -v**5 + v**3 - v**2 - v + 1. Let x(b) = -s(b) - 12*u(b). Solve x(i) = 0.
-1, -2/5, 0, 1
Let n(z) = -5*z**3 - 4*z. Let b(j) = 4*j**3 + 3*j. Let l(g) = 4*b(g) + 3*n(g). Find v, given that l(v) = 0.
0
Let n(o) = -2*o - 2. Suppose 6*g - g + 10 = 0. Let c be n(g). Find k such that k - 6*k**3 - k + 6*k - 4 + 4*k**c = 0.
-1, 2/3, 1
Let l(f) = 3*f**4 - 7*f**2 + 4*f. Let g(o) = 7*o**4 + o**3 - 15*o**2 + 9*o. Let d(q) = -4*g(q) + 9*l(q). Find m, given that d(m) = 0.
-3, -1, 0
Let p(z) = -z + 1. Let d(q) = 4*q - 4. Let n(y) = 2*d(y) + 7*p(y). Let f be n(3). Factor f*j + 3*j**2 - 7*j**2 - j**2.
-j*(5*j - 2)
Let c(m) be the second derivative of -2*m**6/15 + 8*m**5/5 + m**4/3 - 16*m**3/3 + 2*m + 1. What is f in c(f) = 0?
-1, 0, 1, 8
Let z(x) be the third derivative of -x**6/160 - x**5/10 - 17*x**4/32 - 5*x**3/4 - 31*x**2. Find v, given that z(v) = 0.
-5, -2, -1
Let l(a) be the first derivative of -a**7/168 - a**6/60 - a**5/120 + 7*a**3/3 + 2. Let x(r) be the third derivative of l(r). Find f such that x(f) = 0.
-1, -1/5, 0
Suppose -p - 16 + 10 = -2*b, -5*p = 2*b - 30. Let -2/5*h**2 + 4/5*h**3 - 4/5*h**b + 0 + 0*h + 2/5*h**4 = 0. What is h?
-1, 0, 1/2, 1
Let m(g) = 2*g + 21. Let l be m(-8). Suppose 0 = l*y - 3*r, y + r = -0*y. Find d such that 3/5*d**4 + 3/5*d + 9/5*d**2 + 9/5*d**3 + y = 0.
-1, 0
Suppose 0 = 19*c - 15*c - 12. Let v(w) be the first derivative of -1/2*w + 0*w**2 + 1/6*w**c - 1. Find h, given that v(h) = 0.
-1, 1
Let k be ((-7)/3)/((-5)/15). Let j be -2*-1*k/6. Factor -j*p + 3*p**2 - 5/3*p**3 + 1/3*p**4 + 2/3.
(p - 2)*(p - 1)**3/3
Let s be 4 + -6 - 1*-7. Determine v so that -5*v**s + v**5 + 2*v**5 = 0.
0
Let l(w) = w**3 + 9*w**2 + w + 12. Let r be l(-9). Solve -2*o**2 - 1 + 1 - 4*o - 19*o**r + 21*o**3 = 0 for o.
-1, 0, 2
Let y be (6 - 12)*3/(-6). Solve 1/2*l**y + 0 + 0*l + 1/2*l**2 = 0 for l.
-1, 0
Let d(b) be the second derivative of b**9/37800 + b**8/16800 - b**4/4 - 3*b. Let t(g) be the third derivative of d(g). Factor t(l).
2*l**3*(l + 1)/5
Suppose -v = -4*u - 20, 4*v - v - 2*u = 20. Let h = v - 2. Let -2/5*d**h - 2/5*d + 0 = 0. What is d?
-1, 0
Let b(i) be the second derivative of -5*i**7/42 - i**6/3 + 5*i**4/6 + 5*i**3/6 + 8*i. Solve b(c) = 0.
-1, 0, 1
Factor -2/19*a**2 + 6/19*a + 0.
-2*a*(a - 3)/19
Suppose -3*f = -5*f - 2*x + 10, 3*x - 15 = 0. Factor 5*o**3 + 2*o**4 - o**4 + 2 + 10*o**2 + f*o**2 + 7*o - o**2.
(o + 1)**3*(o + 2)
Suppose 48*c = 84 + 156. Let -1/4*f - 3/4*f**4 - 1/4*f**3 + 0 + 1/2*f**c + 3/4*f**2 = 0. What is f?
-1, 0, 1/2, 1
Suppose 18*j**2 - 8 - 12*j**3 - 16*j**2 - 34*j**2 - 28*j = 0. What is j?
-1, -2/3
Let y(m) be the first derivative of -m**5/25 + 3*m**4/10 - 16*m**2/5 - 32. Let y(l) = 0. Calculate l.
-2, 0, 4
Let y(w) = 2*w**5 + 3*w**3 - 5*w. Let l = 6 - 1. Suppose 3*p - l*p + 12 = 0. Let u(r) = -2*r**5 - 4*r**3 + 6*r. Let g(b) = p*y(b) + 5*u(b). Solve g(h) = 0.
-1, 0, 1
Let j(k) be the second derivative of k**6/80 - 3*k**5/40 + 5*k**4/32 - k**3/8 + 48*k. Factor j(f).
3*f*(f - 2)*(f - 1)**2/8
Factor 0*f - 2*f**4 + 2/3 - 4*f**2 - 16/3*f**3.
-2*(f + 1)**3*(3*f - 1)/3
Let -2 + 4*j**4 + 9*j**3 + 2 - 8*j**2 - 5*j**3 = 0. Calculate j.
-2, 0, 1
Suppose 4*j - 8 = -4*r, 5*r - 5 = j + 5. Suppose 4 = 2*l - j. Determine x so that -2/5*x**l - 2/5*x**4 - 4/5*x**3 + 0*x + 0 = 0.
-1, 0
Let b(o) be the third derivative of -1/60*o**6 + 0*o**4 + 2*o**2 - 1/30*o**5 + 0 + 0*o + 0*o**3. Suppose b(z) = 0. What is z?
-1, 0
Let z(w) be the first derivative of w**3/6 - w/2 - 1. Factor z(a).
(a - 1)*(a + 1)/2
Suppose -4*a + 11 = 3*t, 2*a - 2*t = 2*t. Suppose -6*r**2 + 7*r**2 - r - 42*r**3 + 6*r**4 + 6 + 22*r - 13*r**a + 21*r**5 = 0. Calculate r.
-1, -2/7, 1
Let g = -152/195 - -14/15. Suppose -5 + 1 = -2*x. Let 0 + 0*r + 10/13*r**3 - 8/13*r**4 - 4/13*r**x + g*r**5 = 0. Calculate r.
0, 1, 2
Let i be ((-3)/2)/(1/(-2)). Suppose 5*u - 7 = i. Factor 4*t**3 - 6*t**u - 2*t**3 - 2*t**2 + 8*t.
2*t*(t - 2)**2
Let o(b) be the second derivative of -5/12*b**4 - 1/4*b**2 + b + 1/4*b**5 + 1/84*b**7 - 1/12*b**6 + 5/12*b**3 + 0. Factor o(j).
(j - 1)**5/2
Let q(l) = -l**2 - 6*l + 9. Let b be 14/4*(2 - 4). Let t be q(b). Let 0*g - 1/3*g**t + 0 - 1/3*g**3 = 0. Calculate g.
-1, 0
Let f(h) = h**3 - 15*h**2 + 2*h. Let v(y) = 2*y**3 - 14*y**2 + 2*y. Let j(z) = z**2 + 6*z + 6. Let b be j(-6). Let u(w) = b*v(w) - 5*f(w). Solve u(n) = 0.
0, 2/7, 1
Suppose u + 20 = -0*j - 4*j, -j - 5 = 2*u. Factor -6*g + 0*g + u - 2*g**2 + 4*g + 4.
-2*(g - 1)*(g + 2)
Let d = -100/3 + 34. Factor -d*v**2 + 2/3 - 2*v**3 + 2*v.
-2*(v - 1)*(v + 1)*(3*v + 1)/3
Let j be 2/13 - (-132)/1170. Let u(z) be the second derivative of -2*z - 4/5*z**2 - 1/30*z**4 + j*z**3 + 0. Factor u(o).
-2*(o - 2)**2/5
Let y be 76/(-12)*(-8)/(-1). Let b = 52 + y. Factor -8/3*u + 8/3*u**3 + b*u**2 - 8/3 + 7/6*u**4 + 1/6*u**5.
(u - 1)*(u + 2)**4/6
Let w(y) = -y - 7. Let z be w(-3). Let p(m) = -5*m**2 + 4*m + 5. Let t(d) = -d**2 + d + 1. Let a(v) = z*t(v) + p(v). Factor a(l).
-(l - 1)*(l + 1)
Let p be (-2)/31 - (-6600)/1395. Factor 2*o**2 + 4/3 + p*o.
2*(o + 2)*(3*o + 1)/3
Let w(b) = -3*b**4 + 6*b**3 - 6*b**2 - 6*b - 9. Let x(m) = -4*m**4 + 6*m**3 - 7*m**2 - 6*m - 10. Let y(i) = -7*w(i) + 6*x(i). Factor y(h).
-3*(h - 1)*(h + 1)**3
Let r(j) be the second derivative of -j**5/100 + j**4/15 - j**3/6 + j**2/5 - 3*j. Suppose r(h) = 0. Calculate h.
1, 2
Let y(f) = 3*f**3 + 2*f**2 - 4. Let i(h) = 3*h**3 + 3*h**2 - 3. Let o(u) = 4*i(u) - 3*y(u). Factor o(z).
3*z**2*(z + 2)
Suppose 0 = -2*x - x + 6. Suppose a - 2*a - 2*s - 3 = 0, -x*a = 2*s. Find i such that 5*i**3 - 2 - 2 + 3*i**2 - 6*i**a = 0.
-1, 2
Let x(t) be the third derivative of -t**6/180 - 11*t**5/90 - 35*t**4/36 - 25*t**3/9 + 33*t**2. Factor x(p).
-2*(p + 1)*(p + 5)**2/3
Let i(c) be the third derivative of 1/120*c**6 + 1/24*c**4 + 0 - 7*c**2 + 1/30*c**5 + 0*c + 0*c**3. Factor i(n).
n*(n + 1)**2
Let c be 9/(-15)*(-14)/21. Let -1/5*o**2 + c*o - 1/5 = 0. Calculate o.
1
Let g be 18/(-8) - (-3)/(-4). Let a be 8/3*g/(-10). Factor 0*f**3 - 4/5*f**4 + a*f**2 - 2/5*f + 0 + 2/5*f**5.
2*f*(f - 1)**3*(f + 1)/5
Let u be (5 + -6)*1/(-2)*0. Factor -1/4*m**2 + u + 0*m.
-m**2/4
Let u = 89 - 169. Let j = u + 242/3. Let 0 + j*b**2 + 0*b = 0. Calculate b.
0
Let h be 1 + -3*2/(-3). Let b(p) be the first derivative of -18*p**2 - 2 - 3*p - p**h + 15*p**2 - 1. Factor b(c).
-3*(c + 1)**2
Factor -1/3*q**2 + 0 + 1/2*q - 1/6*q**3.
-q*(q - 1)*(q + 3)/6
Let p(r) be the second derivative of r**4/126 - 2*r**3/63 + r**2/21 + 11*r. What is q in p(q) = 0?
1
Suppose -h = 5*i + 5, h = 4*i + 4*h - 7. Let w be 115/30 + i/6. Factor w*s + 13/2*s**3 - 1/2 - 2*s**4 - 15/2*s**2.
-(s - 1)**3*(4*s - 1)/2
Let i = 688 - 1373/2. Determine b, given that 0 - 3/2*b**5 + 3/2*b**4 - i*b**2 + 0*b + 3/2*b**3 = 0.
-1, 0, 1
Let z = -42 + 47. Let h(p) be the third derivative of 0 + 0*p**4 + 0*p + 4*p**2 + 0*p**3 + 1/270*p**z - 1/135*p**6. Let h(n) = 0. Calculate n.
0, 1/4
Let v be 8/6*-1*(-6)/4. What is i in -6/5*i**v + 8/5*i + 2/5*i**4 + 8/5 - 4/5*i**3 = 0?
-1, 2
Let r = 17 + -12. Find k, given that 0*k + 4*k**2 + 0*k**2 + k - k**3 - r*k**2 + k**4 = 0.
-1, 0, 1
Factor -10 - 25/3*o + 5/3*o**2.
5*(o - 6)*(o + 1)/3
Let l(i) be the second derivative of 0*i**3 - 2*i + 0*i**2 + 1/252*i**7 - 1/120*i**5 + 0 + 0*i**6 + 0*i**4. Determine o so that l(o) = 0.
-1, 0, 1
Let s(l) be the third derivative of -l**5/60 - l**3/6 - 4*l**2. Let o(c) = -6. Let v(i) = -o(i) + 3*s(i). Suppose v(p) = 0. What is 