 + 2*x**3 - 5*x + 2*x**2 - x + 4*x = 0. Calculate x.
-1, 1
Let u be (-2 - -3) + (-4)/6. Suppose 21*p + 8 = 25*p. Solve 1/3 - u*h + 1/3*h**3 - 1/3*h**p = 0.
-1, 1
Let b(j) = -j**3 + 10*j**2 + 23*j + 16. Let a be b(12). Let m(l) be the second derivative of 1/6*l**3 + 0 - l**2 + 1/12*l**a - 4*l. Factor m(s).
(s - 1)*(s + 2)
Suppose 0 = -g - g + 102. Let l be g/(-132) + 6/8. Find s such that -2/11*s**2 - l - 6/11*s = 0.
-2, -1
Let m(h) be the first derivative of -2/15*h**3 + 1/10*h**4 - 1/5*h**2 + 5 + 2/25*h**5 + 0*h. Determine g so that m(g) = 0.
-1, 0, 1
Let b be (1/(-3))/(-8*(-1)/(-6)). Factor 1/2 + b*z - 1/4*z**2.
-(z - 2)*(z + 1)/4
Let k(v) = -v**3 + 26*v**2 - 24*v - 23. Let p be k(25). What is m in -2/11*m - 4/11*m**p + 0 - 2/11*m**3 = 0?
-1, 0
Let r(s) be the first derivative of -s**6/15 + 12*s**5/25 - 9*s**4/10 + 14. Let r(y) = 0. What is y?
0, 3
Let t be 1/(1 - (-5)/(-10)). Suppose t = l - 0*l. Let 0 + 1/2*r - 1/2*r**3 + 1/2*r**l - 1/2*r**4 = 0. Calculate r.
-1, 0, 1
Let n(s) be the second derivative of -s**5/330 - s**4/132 + 2*s**3/33 + s**2 + 3*s. Let j(i) be the first derivative of n(i). Factor j(k).
-2*(k - 1)*(k + 2)/11
Let u(h) be the first derivative of 0*h**2 - 1/6*h**3 + 2 + 1/8*h**4 + 0*h. What is p in u(p) = 0?
0, 1
Suppose 80*a - 83*a + 9 = 0. Factor -6/7*c**2 + 6/7*c**a + 0 - 2/7*c**4 + 2/7*c.
-2*c*(c - 1)**3/7
Let x = -1/559 + 517/559. Factor -8/13*w**3 + x*w**2 - 8/13*w + 2/13 + 2/13*w**4.
2*(w - 1)**4/13
Let w be (-567)/112*(-13 + 9). Let 9*b + w*b**2 + 1 = 0. What is b?
-2/9
Let h(x) = -x**3 - 4*x**2 - 5*x. Let b be h(-2). Factor -4/3*j**b - 2/3*j**3 + 0 - 2/3*j.
-2*j*(j + 1)**2/3
Let z(a) be the third derivative of -a**8/84 + 4*a**7/105 - 2*a**5/15 + a**4/6 + a**2. Determine v so that z(v) = 0.
-1, 0, 1
Let c(a) be the first derivative of -2*a**3/3 + a**2 - 1. Solve c(n) = 0 for n.
0, 1
Find r such that -6/7 - 3*r**2 + 27/7*r = 0.
2/7, 1
Let m = -89 + 89. Let o(d) be the second derivative of -1/18*d**4 + 0*d**2 + 1/30*d**5 + 0 + m*d**3 + d. Find r, given that o(r) = 0.
0, 1
Factor 0 + 0*m - 2/3*m**3 + 2/3*m**2.
-2*m**2*(m - 1)/3
Let t(h) be the third derivative of 0*h**4 + 0*h + h**2 + 0 + 1/540*h**6 + 1/1512*h**8 + 0*h**3 + 0*h**5 - 2/945*h**7. Determine n so that t(n) = 0.
0, 1
Suppose 0 - 5 = 2*h + 5*b, -34 = -5*h + 3*b. Suppose 0 + h = t. Let -2/5 + 0*q + 8*q**3 + 4*q**2 + 6*q**4 + 8/5*q**t = 0. What is q?
-1, 1/4
Let j(v) be the second derivative of -v**4/24 - v**3/3 - v**2 + 4*v. Factor j(s).
-(s + 2)**2/2
Let p(c) be the third derivative of 0*c + 1/60*c**5 + 1/12*c**4 + 0 + 2*c**2 + 0*c**3. Find y such that p(y) = 0.
-2, 0
Let x(d) = -6*d**4 + 10*d**3 + 2*d**2 - 14*d - 2. Let f(r) = -19*r**4 + 29*r**3 + 5*r**2 - 43*r - 7. Let j(u) = 2*f(u) - 7*x(u). Suppose j(t) = 0. What is t?
-1, 0, 1, 3
Suppose -2*r - 15*r = 0. Factor -1/2*a**5 + 0 + 1/2*a**4 + r*a**3 + 0*a**2 + 0*a.
-a**4*(a - 1)/2
Let q = -6 - -10. Suppose -3*x = -q*x. Factor x*c**3 - 4*c**3 + 4*c**2 + 2*c**3.
-2*c**2*(c - 2)
Let x = -533 + 21321/40. Let i(m) be the third derivative of 0*m - m**2 - 1/48*m**4 + 0*m**3 + 1/420*m**7 - 1/80*m**6 + x*m**5 + 0. Find f such that i(f) = 0.
0, 1
Let r(y) be the third derivative of -y**8/2520 + y**7/630 - y**6/540 + y**3/2 + y**2. Let w(i) be the first derivative of r(i). Suppose w(x) = 0. What is x?
0, 1
Let f = -1409/20 - -293/4. Suppose -f*r**4 + 0*r + 4/5*r**2 + 0 + 2*r**3 = 0. Calculate r.
-2/7, 0, 1
Let p be ((-318)/(-315))/1 + -1. Let k(j) be the second derivative of 0 - p*j**6 + 1/42*j**4 + 1/70*j**5 + 2*j + 0*j**2 - 1/21*j**3. What is v in k(v) = 0?
-1, 0, 1
Suppose 7*c + 6*c - 26 = 0. Suppose 0 = -4*r - 3*a + 25, -2*r - a = -0*a - 11. Find g, given that 0 + 0*g - 4/5*g**c + 2/5*g**r - 2/5*g**3 = 0.
-1, 0, 2
Suppose 4*w - 4*l = 0, 6*l - 3*l = -3*w + 12. Suppose 2*h + h**w - 4*h**3 - 9*h**2 - 2*h = 0. Calculate h.
-2, 0
Let c(z) be the first derivative of -z**5 - 15*z**4/4 + 10*z**2 - 27. Factor c(m).
-5*m*(m - 1)*(m + 2)**2
Let d = 707/3 + -235. Determine v, given that -4/3 - d*v**2 - 2*v = 0.
-2, -1
Let v(j) be the first derivative of j**3 - 12*j**2 + 48*j + 3. Determine r so that v(r) = 0.
4
Let p(x) = -x**3 + 9*x**2 + 4. Let k(n) = -15*n**3 + 125*n**2 + 55. Let o(i) = -4*k(i) + 55*p(i). Determine h, given that o(h) = 0.
0, 1
Let o = 21/22 + -5/11. Factor o*r**4 - r + 0 + r**3 - 1/2*r**2.
r*(r - 1)*(r + 1)*(r + 2)/2
Let q(g) be the third derivative of g**8/9240 + g**7/4620 + g**3/3 + 3*g**2. Let n(f) be the first derivative of q(f). Factor n(z).
2*z**3*(z + 1)/11
Let p(u) be the second derivative of -u**5/5 - 2*u**4 - 8*u**3 - 16*u**2 - 5*u. Suppose p(z) = 0. What is z?
-2
Let y be (-2)/(-4) - (-42)/12. Find c, given that y + 2*c**4 - 5*c**2 - 2 + c**2 + 0 = 0.
-1, 1
Let m(w) be the third derivative of -w**7/105 + w**6/20 + w**5/30 - w**4/4 + w**2. Factor m(y).
-2*y*(y - 3)*(y - 1)*(y + 1)
Let b(f) be the second derivative of f**5/20 - f**4/12 + f**3/6 + f**2/2 - f. Let d(x) = -6*x - 2. Let i(z) = 4*b(z) + 2*d(z). Suppose i(u) = 0. Calculate u.
-1, 0, 2
Solve -39*m**2 - 2*m**4 - 3*m**4 - 10*m - 20*m**3 + 14*m**2 = 0 for m.
-2, -1, 0
Let f(i) be the third derivative of -2*i**7/945 - i**6/54 - 2*i**5/45 + 2*i**4/27 + 16*i**3/27 - 7*i**2. Solve f(c) = 0.
-2, 1
Let i(c) be the second derivative of 0 + 1/15*c**3 - 1/2*c**2 - 1/30*c**4 + 1/150*c**5 - 2*c. Let o(a) be the first derivative of i(a). Factor o(u).
2*(u - 1)**2/5
Let z(s) be the first derivative of 2*s**5/5 - 3*s**4/2 + 4*s**2 + 3. Let z(o) = 0. What is o?
-1, 0, 2
Suppose 10*v = 11*v - 5. Suppose 3 = 4*y - v. Factor -6/13*k + 2/13*k**y + 4/13.
2*(k - 2)*(k - 1)/13
Let f(o) = -o + 1. Let u be f(3). Let j = u + 3. Determine d, given that -1 - j - 4*d + d**2 + 3*d = 0.
-1, 2
Factor -1/3*q**5 + 23/3*q**4 + 361/3*q**2 + 100/3 - 163/3*q**3 - 320/3*q.
-(q - 10)**2*(q - 1)**3/3
Let u(m) be the second derivative of -7*m**4/12 - 5*m**3/6 + m**2 - 5*m. What is l in u(l) = 0?
-1, 2/7
Let d(i) = i - 6. Let j(g) = g**2 + 8*g + 6. Let l be j(-8). Let v be d(l). Let -1 + v*z + z**2 + 5*z - 6*z + z**3 = 0. What is z?
-1, 1
Let w be (-5)/2*4/(-5). Suppose u + w = 5. Factor -f**2 + f**u - 2 - 2*f + f**3 + 3*f**2.
2*(f - 1)*(f + 1)**2
Let c(h) be the second derivative of h**4/60 - h**3/30 + 6*h. Find n, given that c(n) = 0.
0, 1
Let o(k) be the third derivative of -k**7/420 + k**6/36 - 2*k**5/15 + k**4/3 + k**3 - 5*k**2. Let y(p) be the first derivative of o(p). Factor y(n).
-2*(n - 2)**2*(n - 1)
Let s = 43 + -40. Let t = 10 + -6. Factor b + b**2 + 3*b**s + b**4 - 4*b**3 - 2*b**t.
-b*(b - 1)*(b + 1)**2
Let o(p) be the third derivative of p**8/448 + 11*p**7/280 + 23*p**6/80 + 9*p**5/8 + 81*p**4/32 + 27*p**3/8 - p**2. Factor o(t).
3*(t + 1)**2*(t + 3)**3/4
Factor s**2 - 5*s**3 - s**5 + 2*s**3 + 4*s**3 - 2*s**2 + s**4.
-s**2*(s - 1)**2*(s + 1)
Let q(j) be the first derivative of -4/3*j**3 + 3/2*j**2 + j - 4. Factor q(k).
-(k - 1)*(4*k + 1)
Let h = 3181/9 - 353. Suppose -8/9*l**2 + 4/9*l**4 + 2/9*l + 2/9*l**5 + 4/9 - h*l**3 = 0. Calculate l.
-2, -1, 1
Let g(p) be the third derivative of p**8/504 - p**7/45 + p**6/12 - p**5/10 - p**2. Factor g(k).
2*k**2*(k - 3)**2*(k - 1)/3
Suppose -61 = -7*v - 19. Let w(u) = -u**3 + 4*u**2 + u - 4. Let a(s) = -2*s**3 + 8*s**2 + 3*s - 9. Let h(b) = v*a(b) - 13*w(b). Factor h(z).
(z - 2)*(z - 1)**2
Let v = 1 + 3. Suppose -2*z = -2 - v. Factor -3*u**3 + 3*u**z + 3*u**3 - 12*u**2 - 2*u**4 + 5*u**3 + 8*u - 2.
-2*(u - 1)**4
Let d(w) be the third derivative of 0 + 0*w**3 + 4*w**2 + 1/6*w**4 + 7/30*w**7 + 7/40*w**6 + 0*w - 2/5*w**5. Factor d(i).
i*(i + 1)*(7*i - 2)**2
Let 3*y**3 + 2*y**5 - 6*y**4 - 6*y**5 + 7*y**5 = 0. Calculate y.
0, 1
Let w(i) be the first derivative of -i**5 + 5*i**4/2 + 20*i**3/3 - 5*i**2 - 15*i + 39. Find p such that w(p) = 0.
-1, 1, 3
Let p(c) be the first derivative of c**4/2 + 2*c**3/3 - c**2 - 2*c - 8. Factor p(z).
2*(z - 1)*(z + 1)**2
Let i(q) be the third derivative of q**8/448 - q**7/280 - 3*q**6/160 + q**5/16 - q**4/16 - 3*q**2. Suppose i(c) = 0. Calculate c.
-2, 0, 1
Let k be 2/(-11) + (-322)/(-77). Suppose 0 = -2*z + 4, -z - k = -3*b - 0*b. Solve 3/5*g**3 - 3/5*g**b + 0 + 3/5*g**4 + 0*g - 3/5*g**5 = 0 for g.
-1, 0, 1
Let l(z) = z**3 - 4*z**2 - z + 2. Let o(v) = -v**2 - 1. Let a(y) = -3*l(y) + 3*o(y). Factor a(q).
