x**3 - 2/9*x**l + 2/9*x**2 = 0. What is x?
-1, 0, 1
Suppose -20*a - 2*a = 0. Factor -1/6*f**4 + 1/6*f**5 + 1/6*f**2 + 0*f - 1/6*f**3 + a.
f**2*(f - 1)**2*(f + 1)/6
Suppose -7 = -3*k + 8. Factor -3*d**3 - 19*d + 19*d - 3*d**k - 6*d**4.
-3*d**3*(d + 1)**2
Let m(k) be the third derivative of -k**8/1344 + k**7/840 + k**6/480 - k**5/240 + 3*k**2. Determine y so that m(y) = 0.
-1, 0, 1
Let c(f) be the second derivative of -f**5/80 + f**4/12 - f**3/6 - 4*f. Suppose c(w) = 0. What is w?
0, 2
What is a in -9*a + 6 + 27/8*a**2 = 0?
4/3
Let a(r) = r**2. Let k(g) = -10*g**2 + 12*g - 8. Let p(s) = -6*a(s) - k(s). Let p(l) = 0. What is l?
1, 2
Let t(y) = y**2 - 20*y + 25. Let r(i) = 3*i**2 - 81*i + 99. Let j(s) = 2*r(s) - 9*t(s). Let j(a) = 0. Calculate a.
3
Let u(n) be the third derivative of -n**8/48 - 3*n**7/70 + n**6/10 + n**5/15 - 32*n**2. Solve u(r) = 0.
-2, -2/7, 0, 1
Let 14*j + 1 + 120*j**3 + 1 + 18*j - 8*j + 92*j**2 + 50*j**4 = 0. Calculate j.
-1, -1/5
Suppose 0 = -3*o - 2*s + 10 + 1, 0 = -5*o - 2*s + 17. Let f be 2/(4/12*o). Factor 2/3*z**f + 4/3*z + 0.
2*z*(z + 2)/3
Let k(i) be the third derivative of i**8/1680 + i**7/525 - i**5/150 - i**4/120 - 2*i**2. What is a in k(a) = 0?
-1, 0, 1
Factor -2/7*s**3 - 6/7*s + 2/7 + 6/7*s**2.
-2*(s - 1)**3/7
Let n be (-2)/((-6)/(-12) - 9/6). Suppose 0 - 6/7*b**3 - 4/7*b - n*b**2 = 0. What is b?
-2, -1/3, 0
Let n(r) be the second derivative of -r**5/25 - r**4/6 - 4*r**3/15 - r**2/5 + 6*r. Suppose n(a) = 0. What is a?
-1, -1/2
Let r(z) be the third derivative of -z**6/30 + 2*z**5/15 - z**4/6 - 9*z**2. Solve r(d) = 0 for d.
0, 1
Suppose 4*w = 2*o + 3*w - 1, 0 = o - w - 1. Let h(x) be the third derivative of 0*x + 0 + 1/150*x**5 + o*x**4 + 0*x**3 - x**2. What is n in h(n) = 0?
0
Let g be (-7 - 0)*(-26)/(-13). Let b = -12 - g. Factor -4/5 + 4/5*r - 1/5*r**b.
-(r - 2)**2/5
Let -16/3 - 4/3*o**5 - 32/3*o + 20/3*o**3 + 4/3*o**4 - 4/3*o**2 = 0. What is o?
-1, 2
Let i(r) be the third derivative of r**8/151200 + r**7/18900 - r**5/30 - 7*r**2. Let n(u) be the third derivative of i(u). Factor n(d).
2*d*(d + 2)/15
Let f be ((-12)/48)/(1/(-92)). Suppose 0*k = -2*k + n + 2, 5*k - f = -2*n. Factor -8*u**2 - 16/3 + 8/3*u**k + 32/3*u - 1/3*u**4.
-(u - 2)**4/3
Suppose -3*b + b = -10. Factor 5*f**3 - 16*f**b - 3 + f**3 - 3*f**4 + 13*f**5 + 6*f**2 - 3*f.
-3*(f - 1)**2*(f + 1)**3
Let s be (4 + 0)/1*-4. Let j = -9 - s. Factor 2*m**5 + j*m**5 - 12*m**4 + 6*m**3 - 3*m**4.
3*m**3*(m - 1)*(3*m - 2)
Let q(k) be the first derivative of -1 + 0*k**2 + 0*k - 1/6*k**3 - 3/8*k**4. Suppose q(n) = 0. Calculate n.
-1/3, 0
Let a(u) be the second derivative of u**4/18 - u**3/3 - 4*u**2/3 + 7*u. What is b in a(b) = 0?
-1, 4
Let -1/2*h + 1/2*h**3 + 0*h**2 + 0 = 0. Calculate h.
-1, 0, 1
Let w = -18425/232 - -637/8. Let m = w - -11/87. Find o, given that 0*o + 0 + m*o**5 + 1/3*o**4 - 1/3*o**2 - 1/3*o**3 = 0.
-1, 0, 1
Let d(u) be the third derivative of -u**7/840 + 17*u**6/960 - 3*u**5/32 + 9*u**4/64 + 9*u**3/16 - 19*u**2. Factor d(b).
-(b - 3)**3*(2*b + 1)/8
Let n(l) be the first derivative of l**5/20 - 5*l**4/16 + 3*l**3/4 - 7*l**2/8 + l/2 + 6. Suppose n(k) = 0. Calculate k.
1, 2
Let q(i) be the second derivative of 0 + 0*i**3 - 1/3*i**2 + 1/18*i**4 - 3*i. What is a in q(a) = 0?
-1, 1
Let b be (3/9)/((-1)/(-12)). Suppose 2*l + 5*t - 31 = -2*l, b*l - 19 = -t. Let 0*n**4 + 0*n**3 - n**l - n**3 = 0. Calculate n.
-1, 0
Let u(p) be the first derivative of -4*p**5/5 - 7*p**4 - 44*p**3/3 - 10*p**2 - 1. Factor u(j).
-4*j*(j + 1)**2*(j + 5)
Let h(z) = z**3 - 8*z**2 + 8*z - 4. Let c be h(7). Factor 3 + 0*n**2 + 9/2*n - 3/2*n**c.
-3*(n - 2)*(n + 1)**2/2
Let n(j) = -j + 3. Let l be n(4). Let i be (l + 2)*(0 - -2). Factor 4*p**i + 5 + 1 - 4*p**2 + 3*p**2 - 9*p.
3*(p - 2)*(p - 1)
Let i(s) be the second derivative of 7*s**6/90 - 4*s**5/15 + 11*s**4/36 - s**3/9 + 7*s. What is p in i(p) = 0?
0, 2/7, 1
Determine s, given that 0 + 0*s**2 - s + 3/4*s**3 + 1/4*s**4 = 0.
-2, 0, 1
Let k(t) = -t + 6. Let h be k(4). Let -7/4*q**3 - 1/2 + 5/4*q**4 - 3/4*q**h + 7/4*q = 0. What is q?
-1, 2/5, 1
Let c(b) be the second derivative of 5*b**7/42 + b**6/2 - 9*b**5/4 + 25*b**4/12 - 16*b. Let c(y) = 0. What is y?
-5, 0, 1
Factor 11/7*i - 2/7 - 12/7*i**2.
-(3*i - 2)*(4*i - 1)/7
Let p(c) be the second derivative of -5*c**7/42 - c**6/6 + c**5/2 + 5*c**4/6 - 5*c**3/6 - 5*c**2/2 - 3*c. Suppose p(x) = 0. What is x?
-1, 1
Let j(i) be the first derivative of 5*i**4 - 8*i**3/3 - 10*i**2 + 8*i - 8. Solve j(o) = 0 for o.
-1, 2/5, 1
Let f be ((-2)/7)/((-3)/21). Let p be 3 - f/4*2. Solve -s**2 - p - s**2 + 0*s + 4*s = 0.
1
Let w = 126 + -124. Let o(z) be the first derivative of -2/13*z**4 - 1 + 0*z**w + 0*z + 2/39*z**3. Factor o(q).
-2*q**2*(4*q - 1)/13
Let p(v) = v**3 - 12*v**2 + 11*v. Let h be p(11). Factor 0 - 2/7*u**5 + 2/7*u**3 + h*u**4 + 0*u**2 + 0*u.
-2*u**3*(u - 1)*(u + 1)/7
Suppose 3*q + 0 - 3/2*q**2 - 3/2*q**3 = 0. Calculate q.
-2, 0, 1
Let o be ((-168)/54 + 3)*-2. Factor -2/9*i + 4/9*i**2 + 0 - o*i**3.
-2*i*(i - 1)**2/9
Solve 41*w + 12 - 179*w - 1024*w**3 - 22*w + 704*w**2 = 0.
3/16, 1/4
Suppose -4*y + 10 = y. Let n(x) = -2*x**4 + 12*x**3 - 12*x**2 + 6*x. Let d(o) = 6*o**4 - 37*o**3 + 35*o**2 - 18*o. Let j(h) = y*d(h) + 7*n(h). Factor j(u).
-2*u*(u - 3)*(u - 1)**2
Let h(l) be the second derivative of 0 - 1/7*l**3 - 3*l + 1/42*l**4 + 2/7*l**2. Let h(g) = 0. Calculate g.
1, 2
Let h = -9/25 + 127/75. Factor 14/3*a - h + 4/3*a**2 - 14/3*a**3.
-2*(a - 1)*(a + 1)*(7*a - 2)/3
Let n(d) be the third derivative of -d**6/660 - 7*d**5/165 - 49*d**4/132 + 15*d**2. Factor n(u).
-2*u*(u + 7)**2/11
Let u(y) be the first derivative of -1/4*y**4 + 0*y**3 + 0*y**2 + 1 + 1/5*y**5 + 0*y. Factor u(s).
s**3*(s - 1)
Suppose 2*w + 5*s = -19, w + 3 = -3*w - 3*s. Let i(m) be the second derivative of 2*m + 0*m**2 + 1/9*m**4 + 1/30*m**5 + 0 + 1/9*m**w. Factor i(p).
2*p*(p + 1)**2/3
Let h = 9 + -5. What is j in h*j**2 - 8*j - 2*j**2 + 8 + 0*j = 0?
2
Let n = 73 + -71. Let z(r) be the first derivative of -2/3*r**n + 1 - 2/9*r**3 - 2/3*r. Factor z(b).
-2*(b + 1)**2/3
Suppose c + 3*c = 8. Factor t + 5*t**2 + t - t**2 + c*t**3.
2*t*(t + 1)**2
Let c(u) be the first derivative of u**6/120 - u**5/40 + u**4/48 + 3*u + 2. Let y(b) be the first derivative of c(b). Factor y(a).
a**2*(a - 1)**2/4
Suppose 0 = 8*o - 10*o. Determine m so that o - 2/5*m - 2/5*m**2 = 0.
-1, 0
Suppose 0 = -5*n + a + 17, -19 = n - 4*n + 5*a. Suppose -2*b = -2*j, -n*b + j = -6*b. Determine t, given that -6/5*t**3 - 21/5*t**2 + b + 9/5*t**4 - 6/5*t = 0.
-1, -1/3, 0, 2
Let g = 35/2 + -17. Let z(o) = -o**3 + o. Let m be z(-1). Factor -g*v**3 - 1/2*v + m - v**2.
-v*(v + 1)**2/2
Let k be 1 + (-26 + 2)/3. Let d = k - -7. Find x, given that d + 0*x**2 + 1/4*x**3 - 1/4*x = 0.
-1, 0, 1
Let t(v) be the first derivative of 5*v**4/28 + 17*v**3/21 + 8*v**2/7 + 4*v/7 - 5. Factor t(u).
(u + 1)*(u + 2)*(5*u + 2)/7
Let y(i) be the second derivative of 0 + i**3 + 1/90*i**5 + 7*i - 1/6*i**4 - 3*i**2. Suppose y(m) = 0. Calculate m.
3
Let t(h) be the first derivative of 16*h**5/3 + 10*h**4 - 25*h**3/3 + 5*h**2/3 - 1. Determine b so that t(b) = 0.
-2, 0, 1/4
Factor -35*v**2 - 53 - 32*v**2 + 40*v + 69*v**2 + 253.
2*(v + 10)**2
Let t be 3 + (-1 + 4 - 4). Factor -4*b**2 + b**t - 1 - b**3 - 2*b - b.
-(b + 1)**3
Let x(p) = 3*p**2 - 5*p + 13. Let r(c) = -4*c**2 + 6*c - 14. Let m(o) = 5*r(o) + 6*x(o). Solve m(n) = 0.
-2, 2
Let m(t) be the third derivative of t**6/60 - t**5/105 - 8*t**2. Solve m(c) = 0 for c.
0, 2/7
Let g = 117 + -5264/45. Let z(i) be the second derivative of 4*i + 0*i**3 + 1/3*i**2 + 0 + 0*i**5 + g*i**6 - 1/9*i**4. Solve z(b) = 0 for b.
-1, 1
Let j(x) be the first derivative of x**3/21 + 3*x**2/14 + 2*x/7 + 1. Find s such that j(s) = 0.
-2, -1
Let x(g) be the first derivative of 5*g**4/4 + 35*g**3/3 + 75*g**2/2 + 45*g - 20. Factor x(r).
5*(r + 1)*(r + 3)**2
Let x(g) be the second derivative of 1/12*g**5 - 2*g + 1/3*g**2 + 1/90*g**6 + 1/4*g**4 + 7/18*g**3 + 0. Suppose x(d) = 0. What is d?
-2, -1
Let v(z) = -z**2 + 16*z - 12. Let b be v(15). Suppose 0 = -2*x - b*q + 6, 4*q - 3*q - 2 = 0. Suppose x + 1/5*h + 1/5*h**2 = 0. Calculate h.
-1, 0
Let f(g) be the first derivative of 4*g**5/15 - g**4/3 - 8*g**3/9 + 6. Determine z, given that f(z) = 0.
-1, 0, 2
Factor -9 - 16*z