r -b + x + b**2 - b - b.
(b - 2)*(b - 1)
Let w(b) be the second derivative of b**6/135 - b**5/30 + b**4/18 - b**3/27 + 13*b. What is p in w(p) = 0?
0, 1
Suppose -5*t = -2*j - 26, 3*t - t + 4 = -4*j. Factor 6*r**5 + 44*r**3 + 68*r**4 + 8*r**2 + 22*r**5 - t*r**4.
4*r**2*(r + 1)**2*(7*r + 2)
Suppose -3*i + 8*i + 15 = 0, 4*f - 5 = -i. What is x in 8/3*x + 2/3 + 2*x**f = 0?
-1, -1/3
Find g, given that -60*g - 90*g**4 + 4*g - 10*g + 8*g**5 + 240*g**2 + 214*g**3 - 6*g = 0.
-1, 0, 1/4, 6
Let v be 3/2*1 + (-1)/(-2). Suppose 4*u + 0 - 12 = 0. Let 2/7 - 8/7*o - 2/7*o**v + 8/7*o**u = 0. Calculate o.
-1, 1/4, 1
Let p(u) be the second derivative of u**6/120 - u**5/40 + u**4/48 + 8*u. Determine z so that p(z) = 0.
0, 1
Let h(s) = -2*s**2 - 2*s - 2. Let n(q) = 4*q**2 + 3*q + 5. Let c(b) = 5*h(b) + 2*n(b). Suppose c(u) = 0. What is u?
-2, 0
Let j = -132 - -132. Let w(l) be the third derivative of -1/30*l**6 + 0*l + 0*l**3 + 1/12*l**4 + j*l**5 + 0 + 1/168*l**8 + 0*l**7 - 4*l**2. Factor w(b).
2*b*(b - 1)**2*(b + 1)**2
Let b = 27/80 + 1/16. Solve 2/5*x**4 - 2/5*x**2 - b*x + 0 + 2/5*x**3 = 0 for x.
-1, 0, 1
Factor -3/4*g**2 + 0*g + 0 - 1/2*g**4 - 25/8*g**3.
-g**2*(g + 6)*(4*g + 1)/8
Let f(x) be the first derivative of 2/15*x**5 + 2 + 0*x + 1/3*x**4 + 0*x**2 + 2/9*x**3. Solve f(q) = 0 for q.
-1, 0
Let l be (4/(-6))/(6/(-18)). Let p(a) be the first derivative of -2/5*a**5 + 1/2*a**4 + 0*a - a**l + 1 + 2/3*a**3. Factor p(o).
-2*o*(o - 1)**2*(o + 1)
Let n = 19/6 - 8/3. Solve n*x**2 - 1 + 1/2*x = 0 for x.
-2, 1
Suppose q = -0*q + 10. Let f = q - 8. Suppose m - m**3 - 1/2*m**4 + 0*m**f + 1/2 = 0. Calculate m.
-1, 1
Let l = -10 + 6. Let m = l - -9. Let 0*j**3 + 2*j**m - 2*j**3 - j**5 + j = 0. Calculate j.
-1, 0, 1
Factor 4/19 - 6/19*d + 2/19*d**2.
2*(d - 2)*(d - 1)/19
Let t be ((-3)/9*0)/7. Factor t*h - 2/3*h**2 + 0 - 2/9*h**3.
-2*h**2*(h + 3)/9
Let f(k) = 33*k**3 + 16*k**2 - k + 3. Let l(u) = -32*u**3 - 16*u**2 - 2. Let o(v) = -2*f(v) - 3*l(v). Determine d, given that o(d) = 0.
-1/3, -1/5, 0
Suppose -3*l + l = 4*f - 48, -2*f + 46 = 2*l. Suppose 3*q + l = 5*g, -g + 2 = -4*g - 2*q. Factor -u**4 + u**3 + u**5 - u**2 + 0*u**3 + 2*u**4 - g*u**5.
-u**2*(u - 1)**2*(u + 1)
Let g(j) be the first derivative of -j**5/20 + j**4/12 - 3*j - 2. Let m(i) be the first derivative of g(i). Find d, given that m(d) = 0.
0, 1
Factor 0 - 7*v**2 + 15*v**2 + 4*v**4 + 4 + 16*v**2 + 16*v**3 + 16*v.
4*(v + 1)**4
Let y(n) be the second derivative of -n**7/105 + 7*n**6/75 - 19*n**5/50 + 5*n**4/6 - 16*n**3/15 + 4*n**2/5 - 25*n. Determine b so that y(b) = 0.
1, 2
Suppose 5*n = 4*n + 2. Let i = -15 + 22. Suppose -2*k + 1 + i*k**2 + 0 - 6*k**n = 0. What is k?
1
Suppose -5*t + 14 = h, 7*t - 3*t + 2*h = 10. Factor 5/7*m**5 + 10/7*m**2 + 2/7 - 9/7*m - 12/7*m**4 + 4/7*m**t.
(m - 1)**3*(m + 1)*(5*m - 2)/7
Let i be (-4)/(-2) + 0/1. Let y(v) be the third derivative of 0*v + 0 + 1/3*v**3 - v**i + 0*v**4 - 1/30*v**5. Suppose y(f) = 0. What is f?
-1, 1
Let r(m) be the second derivative of m**7/2520 - m**6/216 + m**5/45 - m**4/18 + m**3/3 - m. Let j(l) be the second derivative of r(l). Factor j(k).
(k - 2)**2*(k - 1)/3
Suppose -3 = j - 7. Determine q, given that j*q**2 + 5*q - 3*q + 5*q + 2*q**3 - 5*q = 0.
-1, 0
Let 2/5 + 3/5*z + 1/5*z**2 = 0. What is z?
-2, -1
Let l be (-8)/5*((-45)/(-18) + -5). Factor 2/3*h**l - 4/3*h + 4/3*h**3 - 2/3 + 0*h**2.
2*(h - 1)*(h + 1)**3/3
Let v(a) be the third derivative of 1/42*a**7 + 1/30*a**5 + 0*a**3 + 0*a**4 + 0*a + 7/120*a**6 + 0 + 10*a**2. Suppose v(g) = 0. Calculate g.
-1, -2/5, 0
Suppose 3*q - q + z + 4 = 0, 0 = -q + 3*z + 5. Let d be (-2)/(-4)*-2 - q. Solve d - 2/3*l**2 + 2/3*l - 2/3*l**3 + 2/3*l**4 = 0.
-1, 0, 1
Suppose 6*f**3 - 5*f - 10 - 2*f**3 - 4*f**3 + 10*f**2 + 5*f**3 = 0. Calculate f.
-2, -1, 1
Let x(u) be the third derivative of -u**8/252 - 2*u**7/315 + 25*u**2. Factor x(i).
-4*i**4*(i + 1)/3
Let i = -144 - -144. Solve i + 2/7*t - 2/7*t**2 = 0 for t.
0, 1
Let o(d) be the second derivative of d**4/24 + d**3/4 + d**2/2 - 3*d. Factor o(a).
(a + 1)*(a + 2)/2
Let x = 137/5 + -27. Factor x*h**2 + 0 + 1/5*h.
h*(2*h + 1)/5
Let d(v) be the first derivative of -v**5/5 - v**4/3 + 8*v**3/3 + 8*v**2 - 2*v - 8. Let t(p) be the first derivative of d(p). Factor t(r).
-4*(r - 2)*(r + 1)*(r + 2)
What is h in -124*h - 14*h**3 + 69*h**2 - 108 + 208 + h**4 - 16*h = 0?
2, 5
Let j be 16/12 - 4/(-6). Let g = j - 0. Suppose 3*u - 6*u + 0*u**2 - g - u**2 = 0. What is u?
-2, -1
Let j(b) be the third derivative of b**6/280 + 17*b**5/140 + 10*b**4/7 + 32*b**3/7 - 7*b**2. Let j(k) = 0. What is k?
-8, -1
Let p be (-25)/(-15 - -10) + -5. Factor -3/4*z + p + 0*z**2 + 3/4*z**3.
3*z*(z - 1)*(z + 1)/4
Let m be 10/22*160/25. Let w = 284 - 3122/11. Let w + 16/11*f + m*f**2 = 0. What is f?
-1/4
Factor 1/8*x**4 - 1/8*x**3 + 1/8*x + 1/4 - 3/8*x**2.
(x - 2)*(x - 1)*(x + 1)**2/8
Factor -4*s**4 + 0*s**3 + 4*s**5 - 8*s**5 + 3*s**3 + 4*s**2 + s**3.
-4*s**2*(s - 1)*(s + 1)**2
Suppose y - 10 = 6*y, -2*u - 4 = 5*y. Suppose 9 = g + i, 0 = 5*g + i - 45 + 8. Factor 0*m + g*m - 2*m**2 - 1 - m - u.
-2*(m - 2)*(m - 1)
Let o(d) be the second derivative of -d**5/40 + d**4/8 - d**3/6 + 4*d. Factor o(m).
-m*(m - 2)*(m - 1)/2
Let k(o) be the second derivative of o**7/1680 - o**6/360 + 2*o**3/3 + 2*o. Let b(f) be the second derivative of k(f). Factor b(j).
j**2*(j - 2)/2
Suppose -3*w - k + 2*k = -17, 2*k = 4*w - 26. Find h such that 1 + h**2 - 3 - h**2 + 2*h**4 + 4*h - w*h**3 = 0.
-1, 1
Let h(o) be the first derivative of -o**4/22 - 4*o**3/11 - 9*o**2/11 + 19. Determine t, given that h(t) = 0.
-3, 0
Let q be 15/(-5)*10/(-6). Factor -x + 2*x**2 - q*x**2 + 6 + 4*x.
-3*(x - 2)*(x + 1)
Let h(b) be the first derivative of 14*b**5/55 - 13*b**4/11 + 40*b**3/33 + 8*b**2/11 + 7. Solve h(j) = 0 for j.
-2/7, 0, 2
Let g(a) = a**3 - 10*a**2 + 10*a - 7. Let z be g(9). Solve 2*r**3 + 4/3*r**z + 2/3*r**4 + 0 + 0*r = 0 for r.
-2, -1, 0
Let k(l) = 4*l**4 - 17*l**3 + 13*l**2 + 9*l + 9. Let p(j) = j**4 - 4*j**3 + 3*j**2 + 2*j + 2. Let i(x) = -2*k(x) + 9*p(x). What is c in i(c) = 0?
0, 1
Let m(d) = -d**4 - d**3 - 1. Let a(b) = 2*b**5 + 9*b**4 + 7*b**3 + 5. Let s = -8 + 5. Let j be (-12)/8*(-2)/s. Let x(y) = j*a(y) - 5*m(y). Factor x(n).
-2*n**3*(n + 1)**2
Let t(w) be the third derivative of 0 + 0*w - w**2 + 1/100*w**5 - 1/40*w**4 - 1/5*w**3. What is m in t(m) = 0?
-1, 2
Let n(u) = -u**2 - 9*u - 4. Let m be n(-6). Let g be ((-1)/m)/(10/(-40)). Suppose -2/7*l**5 + 0 + 2/7*l**3 + g*l**2 + 0*l - 2/7*l**4 = 0. What is l?
-1, 0, 1
Let o(v) = 8*v + 3. Let p(b) = 4*b + 1. Let y(j) = -2*o(j) + 5*p(j). Let d be y(1). Find k, given that -3*k**5 - 2*k**4 + d*k**2 + 2*k**3 + k**5 - k**2 = 0.
-1, 0, 1
Suppose z - 20 + 7 = 0. Let g be 9*9 + 1 + -2. Factor -g*b - z*b**5 - 85*b**5 - 351*b**2 - 8 + 61*b**2 - 350*b**4 - 470*b**3.
-2*(b + 1)**3*(7*b + 2)**2
Let k be 1/((42/(-20))/(-7)). Let d(r) be the first derivative of -7/2*r**4 - 2 + 2*r**2 - k*r**3 + 0*r. Factor d(c).
-2*c*(c + 1)*(7*c - 2)
Suppose 6 = 4*g - 6. Let t**3 - 2*t**2 + t**g + 4*t**3 - 3*t**4 - t**3 = 0. What is t?
0, 2/3, 1
Let h(w) be the second derivative of 2*w**7/315 + w**6/40 + w**5/30 + w**4/72 + 5*w**2/2 + 2*w. Let i(t) be the first derivative of h(t). Factor i(z).
z*(z + 1)**2*(4*z + 1)/3
Suppose -3*s + 0*s = 0. Find g, given that 0 + 10*g + 2 + 8*g**2 + s = 0.
-1, -1/4
Let g = -78062 + 21311002/273. Let h = 2/273 + g. Solve 6/7*k + h*k**2 + 4/7 = 0 for k.
-2, -1
Factor -1/2*i**2 - 2 + 5/2*i.
-(i - 4)*(i - 1)/2
Let f(b) = -b + 2. Let v be f(4). Let t be (v/9)/((-6)/9). Solve 2/3*q**2 + 0 - 1/3*q - t*q**3 = 0 for q.
0, 1
Suppose -5*j + 2*o = -4, -j + 7*o = 8*o - 5. Factor 0*u**j - 1/2*u**5 + 0*u - u**4 - 1/2*u**3 + 0.
-u**3*(u + 1)**2/2
Let i(h) be the second derivative of -h**4/6 + 2*h**3/3 - h**2 - 2*h. Determine z, given that i(z) = 0.
1
Let a = 7 + -7. Let b(s) be the second derivative of 1/36*s**4 + s - 1/18*s**3 + a - 1/3*s**2. Let b(m) = 0. Calculate m.
-1, 2
Let -8/5*s**3 + 4/5*s**5 - 16/5*s**2 + 8/5 + 4/5*s + 8/5*s**4 = 0. What is s?
-2, -1, 1
Let u(w) be the third derivative of w**9/22680 + w**8/10080 - w**7/3780 - w**6/1080 - w**4/12 + 3*w**2. Let b(r) be the second derivative of u(r). Factor b(d).
2*d*(d - 1)*(d + 1)**2/3
Let p(h) = -11*h**3 + 4*h**2 - 8*h - 16. Let x(u) = -