 is f?
-3, -1
Suppose 2*f - m - 11 = 2*m, -m - 17 = -4*f. Factor 0 - f*d**2 + 8/3*d - 1/3*d**4 + 2*d**3.
-d*(d - 2)**3/3
Let u be ((-4)/(-250))/((-3)/(-15)). Let s(g) be the first derivative of -1/5*g**2 + 0*g + 1/10*g**4 + 1 - u*g**5 + 2/15*g**3. Solve s(q) = 0.
-1, 0, 1
Let x(s) = -4*s**5 - 8*s**4 + 24*s**3 + 8*s**2 - 20*s. Let w(b) = -b**5 - 3*b**4 + 8*b**3 + 3*b**2 - 7*b. Let a(k) = 8*w(k) - 3*x(k). Let a(g) = 0. Calculate g.
-1, 0, 1
Let z(d) be the first derivative of d**7/21 + d**6/10 - 6*d**5/25 + 2*d**4/15 + d**2 - 6. Let p(f) be the second derivative of z(f). Factor p(i).
2*i*(i + 2)*(5*i - 2)**2/5
Let t be ((-3)/(-6))/((-2)/(6/(-3))). Solve -3/4*m**5 - 1/2 + 3/2*m**3 - t*m**4 - 3/4*m + m**2 = 0.
-1, -2/3, 1
Let s(k) be the first derivative of k**6/15 + 3*k**5/5 + 13*k**4/6 + 4*k**3 + 4*k**2 + 4*k + 4. Let l(f) be the first derivative of s(f). Factor l(i).
2*(i + 1)**2*(i + 2)**2
Let -2*h**2 + 7*h**2 - 8*h**2 + 12*h = 0. Calculate h.
0, 4
Let n(g) = -9*g + 27. Let d be n(3). What is z in -3*z**4 - 2/3*z + d + 4/3*z**5 + 3*z**2 - 2/3*z**3 = 0?
-1, 0, 1/4, 1, 2
Let o(b) = b**3 - b**2 - 4*b. Let y(h) = 9*h**3 - 4*h**2 - 3*h**2 - 27*h + h**2 - 3*h**3. Let t(s) = -27*o(s) + 4*y(s). Suppose t(p) = 0. What is p?
0, 1
Let h(u) be the first derivative of 3*u**5/20 - 3*u**4/8 - u**3/4 + 3*u**2/4 + 6. Factor h(m).
3*m*(m - 2)*(m - 1)*(m + 1)/4
Factor 2/5 + 4/5*o**2 + 6/5*o.
2*(o + 1)*(2*o + 1)/5
Suppose 0 = -5*b + b + 12. Solve -5*y**2 + 3*y - 1 + 2*y**3 - y**b + 2*y**2 = 0 for y.
1
Let y(k) = -4*k**2 + 4*k - 3. Let l(i) = 11*i**2 - 11*i + 8. Let r(m) = -3*l(m) - 8*y(m). Suppose r(f) = 0. Calculate f.
0, 1
Let h(m) be the third derivative of -7*m**5/300 - m**4/12 + 4*m**3/15 - 22*m**2. Factor h(l).
-(l + 2)*(7*l - 4)/5
Let r(p) be the third derivative of -p**6/72 - p**5/60 + p**3/6 - p**2. Let o(l) be the first derivative of r(l). Factor o(c).
-c*(5*c + 2)
Let c(w) be the first derivative of -1/10*w**4 + 0*w + 2/15*w**3 + 4 + 1/5*w**2 - 2/25*w**5. Factor c(l).
-2*l*(l - 1)*(l + 1)**2/5
Let i(r) = -3*r**3 - 6*r**2 - 3*r. Let c(f) = -5*f - 1. Let a be c(1). Let m(h) = 9*h**3 + 17*h**2 + 8*h. Let u(v) = a*m(v) - 17*i(v). Factor u(t).
-3*t*(t - 1)*(t + 1)
Suppose 5*j - 3*b = -6*b + 5, -5*j + 15 = b. Find w, given that -14*w**j - 15*w + 3*w**3 + 3*w**5 + 6 + 9*w**3 + 6*w**2 + 2*w**4 = 0.
-1, 1, 2
Factor -448/5*k**2 - 98/5*k**3 - 232/5*k - 32/5.
-2*(k + 4)*(7*k + 2)**2/5
Factor 432/7*j**2 - 102/7*j + 9/7 - 810/7*j**3 + 81*j**4.
3*(3*j - 1)**3*(7*j - 3)/7
Suppose k = -2*k + 24. Suppose s = -s + k. Factor 0*c**2 + 4*c**2 + c**3 - c + 3*c**4 - s*c**4 - 3*c**2.
-c*(c - 1)**2*(c + 1)
Let a(j) = -6*j**2 + j + 5. Let d(r) = -r**3 + 4*r**2 + 5. Let k be d(4). Let z(s) = -s**2 + 1. Let v(o) = k*z(o) - a(o). Factor v(b).
b*(b - 1)
Let c be (-2)/(-4) - (-23)/(-2). Let b = c - -23/2. What is n in -3/2*n**3 + 0 - b*n**4 - 3/2*n**2 - 1/2*n = 0?
-1, 0
Let l(c) be the second derivative of 0*c**3 + 1/24*c**4 + 5/168*c**7 + 1/80*c**5 - 3*c - 1/15*c**6 + 0 + 0*c**2. Factor l(h).
h**2*(h - 1)**2*(5*h + 2)/4
Let i be (-2 - -3) + (0 + -1)*-1. Factor -1/4*z**4 + 0 + 0*z + 1/4*z**3 + 0*z**i.
-z**3*(z - 1)/4
Let i(m) be the first derivative of -2*m**3/33 - 4*m**2/11 - 6*m/11 - 26. Factor i(q).
-2*(q + 1)*(q + 3)/11
Let r(h) be the second derivative of 0*h**2 - 4/15*h**4 - 2*h + 1/10*h**5 + 0 - 1/75*h**6 + 4/15*h**3. Factor r(g).
-2*g*(g - 2)**2*(g - 1)/5
Let p be ((-6)/(-105))/(2/10). Let a be (-2)/(21/(9/(-3))). Factor p*h**2 + a - 4/7*h.
2*(h - 1)**2/7
Let i = 8 + -8. Suppose 4*y - 12 + 4 = i. Factor -a**3 - y*a**4 - 2*a**4 + 0*a**4 + 3*a**4.
-a**3*(a + 1)
Let y = -7 + 1. Let g(k) = 2*k**3 - 3*k**2 - 6*k - 7. Let a(b) = -5*b**3 + 5*b**2 + 12*b + 15. Let s(n) = y*a(n) - 13*g(n). Factor s(p).
(p + 1)**2*(4*p + 1)
Suppose -w - 3*w - o + 23 = 0, o = -1. Find h such that 5 + 3 - 4*h + 2*h**2 - w = 0.
1
Let y(o) be the third derivative of 0*o**3 - 5*o**2 - 1/5*o**6 + 3/35*o**7 + 0*o + 0*o**4 + 2/15*o**5 - 1/84*o**8 + 0. Factor y(n).
-2*n**2*(n - 2)**2*(2*n - 1)
Let w(l) be the second derivative of 3/14*l**4 + 0 + 2/7*l**3 - 12/7*l**2 - 3/140*l**5 - 1/70*l**6 - 3*l. What is s in w(s) = 0?
-2, 1, 2
Let z(a) = a + 10. Let m be z(-5). Let r(v) be the third derivative of -1/30*v**m + 0*v + 2*v**2 - 1/3*v**3 - 1/6*v**4 + 0. Factor r(w).
-2*(w + 1)**2
Let i(c) be the third derivative of -c**5/120 - 5*c**4/48 - c**3/2 - 14*c**2. Suppose i(w) = 0. Calculate w.
-3, -2
Let k = -2020/3 - -674. Let 0 + 4*t**3 + 2/3*t**5 + k*t - 8/3*t**4 - 8/3*t**2 = 0. Calculate t.
0, 1
Let l be ((-2)/(-432))/(5/3). Let j(u) be the third derivative of -1/72*u**4 + 0*u + 0 + 0*u**3 - u**2 + l*u**6 + 0*u**5. Factor j(z).
z*(z - 1)*(z + 1)/3
Determine l so that -3*l**3 - l - 47*l + 35*l**2 - 11*l**2 = 0.
0, 4
Let z(u) = -122*u**4 + 325*u**3 - 87*u**2 - 321*u + 219. Let b(c) = -121*c**4 + 325*c**3 - 86*c**2 - 320*c + 220. Let h(p) = 3*b(p) - 4*z(p). Factor h(l).
(l + 1)*(5*l - 6)**3
Let l be -102*(0 - (-1)/(-2)). Suppose 2*u - 33 = -3*o, l = -0*o + 4*o + 5*u. Factor 2*h**5 - 8*h**2 + h**4 - o*h**4 + 10*h**3 + 2*h**3 + 2*h.
2*h*(h - 1)**4
Suppose 12 = 2*c + l, c + 2*l - 9 = -0*c. Factor -4*o**2 + c*o + o**2 + 0*o**2 + o.
-3*o*(o - 2)
Factor 5*o - 4*o - 8*o**2 - 3*o.
-2*o*(4*o + 1)
Factor 4*g**3 + 11 - 4 - 20*g**2 - g**4 + 13*g**4 - 4*g + 1.
4*(g - 1)*(g + 1)**2*(3*g - 2)
Let f(l) be the third derivative of l**5/390 - l**3/39 - 3*l**2. What is z in f(z) = 0?
-1, 1
Let a(b) be the second derivative of b**5/70 - b**4/42 - 7*b. Factor a(z).
2*z**2*(z - 1)/7
Let z(a) be the second derivative of a + 1/48*a**4 + 0 - 1/12*a**3 + 1/8*a**2. Let z(w) = 0. What is w?
1
Let z(r) be the first derivative of -r**6/2 - 3*r**5/5 + 3*r**4/4 + r**3 + 11. Determine p, given that z(p) = 0.
-1, 0, 1
Suppose 9*k - 45 + 9 = 0. Factor k*w - 2/3*w**2 - 6.
-2*(w - 3)**2/3
Let b = -14 + 14. Let w(f) = f**2 - 6*f + 2. Let x be w(6). What is y in 7/2*y**5 + b - y + 9/2*y**4 - 5/2*y**3 - 9/2*y**x = 0?
-1, -2/7, 0, 1
Let h = 10 + -8. Let p be h/(-3)*105/(-14). Factor -40/7*s**3 - 30/7*s**4 + 0*s + 2/7 - 20/7*s**2 - 8/7*s**p.
-2*(s + 1)**4*(4*s - 1)/7
Let h(j) be the second derivative of 0*j**2 + 0 - 4*j - 1/12*j**4 + 1/3*j**3. Solve h(l) = 0.
0, 2
Let k = 11449/36 + -318. Let n(x) be the third derivative of 4/315*x**7 + 1/504*x**8 - 2*x**2 + 1/30*x**6 + 2/45*x**5 + 0 + 0*x + k*x**4 + 0*x**3. Factor n(v).
2*v*(v + 1)**4/3
Suppose 0 = 1717*s - 1708*s. Factor -1/5*v**3 + 3/5*v + s*v**2 + 2/5.
-(v - 2)*(v + 1)**2/5
Let r(u) be the third derivative of -u**8/1176 - u**7/735 + u**6/140 + u**5/42 + u**4/42 + 6*u**2. Solve r(y) = 0.
-1, 0, 2
Determine q, given that 1/3*q**2 + 4*q + 5/3*q**5 + q**4 - 17/3*q**3 - 4/3 = 0.
-2, -1, 2/5, 1
Let b(r) be the third derivative of r**5/10 + 3*r**4/8 - r**3 - 28*r**2. Factor b(p).
3*(p + 2)*(2*p - 1)
Let u(o) = -o**2 + 1. Suppose 3*m + 0*m = -9. Let f(z) = 4*z**2 + z - 5. Let b(x) = m*u(x) - f(x). Find y such that b(y) = 0.
-2, 1
Suppose 2*t - 18 = -6. Let v be (-1)/(-18)*(t + -2). Factor 2/9*w**2 - 2/9 - v*w**3 + 2/9*w.
-2*(w - 1)**2*(w + 1)/9
Let c = -3 + 8. Solve -6*h**4 + 2*h**c + 6*h**2 - 3*h - 27*h**3 + h**5 + 27*h**3 = 0 for h.
-1, 0, 1
Suppose -2*q + 15 = q. Suppose 2*h - q*h = -12. Let 12*l**h - 9*l**3 - 10*l**4 + 13*l**4 - 6*l**2 = 0. What is l?
-2/5, 0, 1
Suppose 5*g = 0, 4*g - 2 = 3*p + 1. Let h be (-18)/(-14) + p/1. Factor 0 - 2/7*r**3 + 0*r**2 + h*r.
-2*r*(r - 1)*(r + 1)/7
Let a(o) = -6*o**2 + 46*o - 40. Let u(q) = -2*q**2 + 15*q - 13. Let k(r) = -5*a(r) + 14*u(r). Factor k(t).
2*(t - 9)*(t - 1)
Let a(t) be the second derivative of t**6/1260 - t**5/210 + t**4/84 - 2*t**3/3 - 6*t. Let j(z) be the second derivative of a(z). Solve j(n) = 0 for n.
1
What is i in 0*i**3 + 6/7*i**2 - 2/7*i**4 + 0 - 4/7*i = 0?
-2, 0, 1
Let j(q) be the second derivative of q**4/6 - q**3 - 4*q**2 + 29*q. Let j(a) = 0. Calculate a.
-1, 4
Let g = -27 + 27. Solve -8/5*k**3 + 14/5*k**2 + 4/5*k + g = 0.
-1/4, 0, 2
Factor k**2 + 2*k**2 + 24 - 344*k + 326*k.
3*(k - 4)*(k - 2)
Let l(t) be the first derivative of 5*t**4/4 - 5*t**3/3 - 5*t**2 - 17. Solve l(b) = 0 for b.
-1, 0, 2
Let m(j) be the second derivative of -j**7/147 - j**6/105 + j**5/35 + j**4/21 - j**3/21 - j**2/7 - j. Factor m(d).
-2*(d - 1)**2*(d + 1)**3/7
Let f(u) = u**