mine f so that g(f) = 0.
0, 1
Let s(m) be the first derivative of 1/10*m**2 + 2 + 0*m + 1/15*m**3. Factor s(j).
j*(j + 1)/5
Let h = 4019/5 + -799. Factor 6/5*s**2 - 16/5*s**5 - h*s**4 + 0 - 1/5*s**3 - 1/5*s.
-s*(s + 1)**2*(4*s - 1)**2/5
Let o(r) be the third derivative of 1/54*r**5 + 0 + 1/54*r**4 + 0*r**3 + 6*r**2 + 0*r. Factor o(f).
2*f*(5*f + 2)/9
Suppose -14 = 2*k - 4*k. Suppose 0 = k*l - 11*l. Find a, given that -2/7*a**2 + 0 + 2/7*a**4 + l*a + 0*a**3 = 0.
-1, 0, 1
Let c be 6/4*(-10 + -2). Let x be ((-8)/c)/((-4)/(-6)). Determine j so that 32/3*j**4 - 16*j**3 + 0 + 6*j**2 - x*j = 0.
0, 1/4, 1
Let u = -207 - -209. What is j in -6*j + 3 - 15/4*j**u = 0?
-2, 2/5
Let w(l) be the first derivative of -l**7/28 + l**6/10 - l**4/4 + l**3/4 - 2*l + 4. Let b(q) be the first derivative of w(q). Suppose b(p) = 0. Calculate p.
-1, 0, 1
Let c(d) be the first derivative of -2*d**3/3 - d**2 + 4*d - 2. Factor c(y).
-2*(y - 1)*(y + 2)
Let z(j) = -5*j**2 + 2*j + 3. Let w(f) be the first derivative of 2*f**3 - 14*f + 6*f**3 - 5*f**2 + 0*f**2 - 1. Let b(h) = 3*w(h) + 14*z(h). Factor b(n).
2*n*(n - 1)
Let l(k) be the first derivative of 1/3*k**6 + 0*k**2 + 2/3*k**3 + 0*k + 2 - 1/2*k**4 - 2/5*k**5. Solve l(b) = 0.
-1, 0, 1
Let c(s) = -s**2 + 16*s - 25. Let y be c(14). Find m, given that 3/4*m**2 + 0*m - y = 0.
-2, 2
Suppose 12/7*o**3 + 3*o**5 + 0*o**2 + 48/7*o**4 + 0*o + 0 = 0. Calculate o.
-2, -2/7, 0
Let a(d) be the first derivative of -4/9*d**2 + 4/15*d**5 - 13/18*d**4 + 0*d + 8/9*d**3 - 1/27*d**6 + 3. Solve a(r) = 0 for r.
0, 1, 2
What is y in 0 + 8*y - 2/3*y**2 = 0?
0, 12
Let x(n) = 3*n**3 + 16*n**2 - 13*n - 16. Let h(d) = 20*d**3 + 104*d**2 - 84*d - 104. Let u(y) = 5*h(y) - 32*x(y). Factor u(q).
4*(q - 1)*(q + 1)*(q + 2)
Let r(s) be the third derivative of s**7/6300 + s**6/900 + s**4/24 + 2*s**2. Let t(x) be the second derivative of r(x). Factor t(z).
2*z*(z + 2)/5
Let i(r) = -2*r - 4. Let m be i(-3). Let y = 593/447 + 1/149. Let -14*b**m + 22/3*b - 8/3*b**4 - y + 32/3*b**3 = 0. What is b?
1/2, 1, 2
Find l such that -2*l**3 + 8/7*l + 0 - 24/7*l**2 = 0.
-2, 0, 2/7
Let x(i) be the second derivative of -i**7/42 + i**6/30 + 3*i**5/20 - 5*i**4/12 + i**3/3 - 4*i. Factor x(p).
-p*(p - 1)**3*(p + 2)
Let k(y) be the third derivative of -y**5/12 - 5*y**4/6 - 22*y**2. Factor k(s).
-5*s*(s + 4)
Let o(t) be the third derivative of -t**5/90 + t**4/18 - t**3/9 - 24*t**2. Factor o(x).
-2*(x - 1)**2/3
Let x = 176 + -95. Suppose -146*b**3 + 18 - x*b**2 + 65*b**3 - 6 = 0. Calculate b.
-2/3, 1/3
Factor -1/5*c**2 + 0 - 1/5*c.
-c*(c + 1)/5
Let n be (-4 - -1)/(22/(-12)*3). Factor 0 - n*k**2 + 4/11*k + 2/11*k**3.
2*k*(k - 2)*(k - 1)/11
Let m(g) = g**2 - 2*g - 3. Let c be m(3). Suppose 0*h - h + 2 = c. Let -3*f**h + 6*f**2 + 4*f - 1 + 2 = 0. What is f?
-1, -1/3
Let b(v) be the third derivative of -v**7/350 + v**6/50 - v**5/20 + v**4/20 + 6*v**2. Determine d so that b(d) = 0.
0, 1, 2
Let l(t) = 2*t + 1. Let v be l(1). Let s be -65*4/(-36) + (-2)/9. What is a in 4*a - a**3 + 0*a**v - s*a + 3*a**2 + 1 = 0?
1
Let c(m) be the third derivative of -m**8/5040 + m**7/840 - m**6/360 + m**5/360 + m**3/3 - m**2. Let l(r) be the first derivative of c(r). Factor l(x).
-x*(x - 1)**3/3
Let m(g) = -g. Let a(j) = 4*j**2. Let z(k) = -k**2 - 2*k + 2. Let n be z(-3). Let l be 4 + 3*-2 - -3. Let y(p) = l*a(p) + n*m(p). Find s, given that y(s) = 0.
-1/4, 0
Determine i, given that -8/5*i**3 + 36/5*i**4 - 36/5*i**2 + 0 + 8/5*i = 0.
-1, 0, 2/9, 1
Let w(t) be the first derivative of -t**6/40 + t**5/20 + t**4/8 - t**3/2 - 3*t**2/2 + 3. Let s(u) be the second derivative of w(u). Find o such that s(o) = 0.
-1, 1
Suppose -8 = 4*j + 5*h - h, 4*j - h - 12 = 0. Determine v, given that 8*v**2 + 4*v**3 - 11*v**2 + v**j - 2*v**4 = 0.
0, 1
Let t(b) = -7*b**3 + 11*b**2 - 2*b + 10. Let v = 0 + -1. Let q be -6*v/4*4. Let a(p) = 20*p**3 - 32*p**2 + 7*p - 29. Let d(m) = q*a(m) + 17*t(m). Factor d(s).
(s - 2)**2*(s - 1)
Let v(i) be the first derivative of 5*i**6/6 - 3*i**5 + 5*i**4/4 + 5*i**3 - 5*i**2 - 19. Factor v(l).
5*l*(l - 2)*(l - 1)**2*(l + 1)
Let y(u) = 2*u**2 - 3*u + 2. Let a be y(2). Let o(j) be the second derivative of -1/3*j**3 + 0*j**2 + 4*j + 1/6*j**a + 0. Factor o(h).
2*h*(h - 1)
Let f(c) be the first derivative of c**3/6 + 5*c**2/4 + 3*c + 25. Suppose f(o) = 0. Calculate o.
-3, -2
Suppose -3*r - 14 = -0*r - 5*w, -2 = -3*r + w. Let -41/2*p**r + 12*p + 19/2*p**3 - 7/2*p**5 + 9/2*p**4 - 2 = 0. Calculate p.
-2, 2/7, 1
Let i be 27/45 - (-12)/5. Let m(u) be the first derivative of 1/2*u - 1/6*u**3 + 0*u**2 + i. Factor m(c).
-(c - 1)*(c + 1)/2
Let x be -3 - (-2 + (0 - 1)). Let v(r) be the second derivative of -1/70*r**5 + r + 1/7*r**2 + 1/14*r**4 - 1/7*r**3 + x. Factor v(i).
-2*(i - 1)**3/7
Factor 6/5*w + 0 - 3/5*w**2.
-3*w*(w - 2)/5
Let y be (0 - (-5 - -2))/3. Suppose -y = -2*p + 3. Determine o, given that 0 + 2/3*o**3 + 8/3*o**p + 8/3*o = 0.
-2, 0
Let v(z) be the first derivative of 2*z**2 + 1/3*z**3 - 3 + 4*z. Solve v(o) = 0 for o.
-2
Let l be 26/(-4)*(-4)/(-2). Let h(t) = t + 15. Let b be h(l). Solve 2/9*q**5 - 2/9*q + 0*q**3 - 4/9*q**4 + 4/9*q**b + 0 = 0 for q.
-1, 0, 1
What is y in 4/9*y + 0 - 4/9*y**3 - 4/9*y**4 + 4/9*y**2 = 0?
-1, 0, 1
Let a(f) be the first derivative of f**6/27 - f**4/9 + f**2/9 + 8. Factor a(q).
2*q*(q - 1)**2*(q + 1)**2/9
Find c such that -23*c + 23*c - 5*c**2 - 5*c**3 = 0.
-1, 0
Let i(x) be the first derivative of 1/3*x**3 + x + x**2 - 3. Factor i(b).
(b + 1)**2
Let i(f) be the first derivative of -f**5/5 + f**4/8 + 5*f**3/6 + f**2/2 - 50. Factor i(t).
-t*(t - 2)*(t + 1)*(2*t + 1)/2
Find z such that 3/2*z**2 - 9/2*z + 3 = 0.
1, 2
Let y(h) = -2*h**3 + h + 0 - 7 + 3*h - h**4. Let v(t) = 8 + 3*t**3 + 0*t**2 - 4*t - 4*t**4 - t**2 + 5*t**4. Let r(w) = -6*v(w) - 7*y(w). Factor r(d).
(d - 1)**4
Let r be -3*(-1)/42*8. Let 0*g**4 - 2/7*g**5 - 4/7 + 8/7*g**3 - 6/7*g + r*g**2 = 0. What is g?
-1, 1, 2
Let p(z) = -10*z**3 - 12*z**2 - 6*z - 4. Let o(w) = w**3 + w**2 + w + 1. Suppose 5*x + 0*x = 4*q + 40, 2*x - 16 = 5*q. Let b(a) = x*o(a) + p(a). Factor b(c).
-2*(c - 1)*(c + 1)*(c + 2)
Let o(k) be the first derivative of -1/15*k**2 + 0*k + 7 - 8/75*k**5 - 8/45*k**3 - 1/45*k**6 - 1/5*k**4. Find a such that o(a) = 0.
-1, 0
Let o = -16 - -91/6. Let a = 7/6 + o. Factor -1/3*m**2 + 0 - a*m.
-m*(m + 1)/3
Suppose 2*x - 7*x + 50 = 0. Suppose -2*u - x = -5*g - 2, -g + 4*u = -16. Determine c so that 3*c**3 + 4*c**2 + 2*c + g*c**3 - c**3 = 0.
-1, 0
Let l be (3 + -4)*(3 + -1 + -7). Let i(g) be the third derivative of -1/27*g**3 - 1/270*g**l + 0 - 1/54*g**4 - 5*g**2 + 0*g. Determine q, given that i(q) = 0.
-1
Suppose 2*a = -3*c + 19, -5*c - 9 = -34. Let q(u) be the third derivative of 0*u - 1/360*u**6 + 0 + 2*u**a + 1/72*u**4 + 0*u**5 + 0*u**3. Factor q(k).
-k*(k - 1)*(k + 1)/3
Factor 2 - 1 + 0*f**2 + 3*f**2 - f**3 - 5.
-(f - 2)**2*(f + 1)
Let q = 127 - 633/5. Let 2/5*y**2 + q - 4/5*y = 0. Calculate y.
1
Factor 8*r - 17*r**2 + 5*r**3 + 7*r - 5 + 2*r**2.
5*(r - 1)**3
Let f be 1 + (-4)/((-12)/51). Let b = f + -13. Factor 1/6*o**b + 1/3*o**4 - 7/6*o - 1/3*o**3 - 1/3 - 4/3*o**2.
(o - 2)*(o + 1)**4/6
Let z(f) be the third derivative of -f**10/7560 - f**9/3780 + f**4/24 - 4*f**2. Let l(t) be the second derivative of z(t). Factor l(o).
-4*o**4*(o + 1)
Let v(k) = 3*k**4 - 2*k**2 + 2*k - 3. Let g(q) = -2 - q**3 - 2 + q**2 + 5 - q**4. Let a(n) = -6*g(n) - 3*v(n). Factor a(t).
-3*(t - 1)**3*(t + 1)
Let t(b) be the second derivative of b**7/1260 + b**6/180 + b**5/60 - 7*b**4/12 - 6*b. Let w(h) be the third derivative of t(h). Factor w(n).
2*(n + 1)**2
Factor 1 - 1/2*u**2 - 1/2*u.
-(u - 1)*(u + 2)/2
Let x(d) = -3*d**2 + d + 2. Let s(f) = f**2 - 3*f - 4. Let i(j) = j + 1. Let k(q) = 6*i(q) + 2*s(q). Let z(g) = 4*k(g) + 3*x(g). Factor z(v).
-(v - 2)*(v - 1)
Let h(o) be the second derivative of o**4/4 + 3*o**2/2 - 5*o. Let a(v) = 2*v**2 - v + 2. Let s(b) = -6*a(b) + 5*h(b). Factor s(n).
3*(n + 1)**2
Let c(r) be the third derivative of -r**5/60 + r**3/6 + 7*r**2. Factor c(d).
-(d - 1)*(d + 1)
Let u(g) be the second derivative of -4/9*g**4 - 8/3*g**2 + 5*g + 0 - 34/9*g**3. Determine k, given that u(k) = 0.
-4, -1/4
Let p(i) = 162*i**4 + 87*i**3 - 64*i**2 + 11*i - 3. Let m(h) = -324*h**4 - 173*h**3 + 128*h**2 - 23*h + 7. Let l(