/7
Let n be 1*3 - (3 + 0). Let l(x) be the second derivative of 1/6*x**3 - 3/40*x**5 - 2*x + n + 1/24*x**4 + 0*x**2. Solve l(f) = 0.
-2/3, 0, 1
Factor -10/3*k**3 + 2/3*k**4 + 0 + 16/3*k**2 - 8/3*k.
2*k*(k - 2)**2*(k - 1)/3
Suppose 4*r + 20 = 2*s, -2*r = 3*s - 4 + 6. Let t(h) be the second derivative of 1/45*h**6 + 0*h**4 + 1/60*h**5 + 0*h**s + 0 + 0*h**3 + h. Factor t(y).
y**3*(2*y + 1)/3
Let p = -3/10 - -29/30. Let h(c) be the first derivative of 2 - 1/9*c**3 - p*c**2 - 4/3*c. Determine q, given that h(q) = 0.
-2
Let b(f) be the third derivative of f**7/70 - f**6/40 - f**5/20 + f**4/8 - f**2 - 17*f. What is a in b(a) = 0?
-1, 0, 1
Suppose -3*u + 36 = -4*g, 4*u - 57 = -g - 9. What is b in -12 + u - 2*b - b**3 - 3*b**2 = 0?
-2, -1, 0
Let x(m) be the second derivative of m**4/32 + 5*m**3/16 - 25*m. Let x(i) = 0. What is i?
-5, 0
Let b(o) be the second derivative of 0*o**4 - 6*o + 0 + 1/20*o**5 + 0*o**3 + 0*o**2. What is k in b(k) = 0?
0
Let l(b) be the first derivative of -2*b**3/27 - 2*b**2/9 - 2*b/9 - 8. Let l(u) = 0. Calculate u.
-1
Let t(b) = -b**3 + b + 6. Let o be t(0). Suppose -o*h + 2*h = -8. Factor 2*w**3 - 7*w**4 + 1 - 25*w + 5*w + 21*w**h + 0*w**2 + 3.
-(w - 1)**2*(w + 2)*(7*w - 2)
Let b(q) be the second derivative of q**9/336 - q**8/560 - q**7/168 - q**6/360 + q**3/2 + q. Let l(n) be the second derivative of b(n). Factor l(s).
s**2*(s - 1)*(3*s + 1)**2
Solve 0 + 8/9*y**2 + 4/9*y**5 - 8/9*y**4 - 4/9*y + 0*y**3 = 0.
-1, 0, 1
Let i(g) be the second derivative of -g**4/4 + g**3/2 - 6*g. Factor i(y).
-3*y*(y - 1)
Let r be -3*4/(-24)*3. Let i = r + -1. Factor i*d + 1/2*d**2 + 0.
d*(d + 1)/2
Let a(i) be the second derivative of 1/30*i**5 + 3/2*i**2 + 2/3*i**3 + 1/4*i**4 + i + 0. Let n(u) be the first derivative of a(u). Factor n(h).
2*(h + 1)*(h + 2)
Let i(v) = v**3 - 3*v**2 + 3*v - 2. Let n be i(2). Let x(m) be the first derivative of -1/2*m**4 - 3 - 1/5*m**5 + n*m**2 + 0*m - 1/3*m**3. Factor x(o).
-o**2*(o + 1)**2
Let l = 12 - 65. Let q be l/(-21) + (-30)/18. What is c in 0 - q*c**3 - 4/7*c**2 + 0*c = 0?
-2/3, 0
Let s(t) be the first derivative of -t**6/300 + t**5/150 + t**4/60 - t**3/15 - t**2/2 + 1. Let o(u) be the second derivative of s(u). What is w in o(w) = 0?
-1, 1
Suppose 5*z = -3*y - 2*y + 35, 2*y + 7 = 5*z. Suppose -z*h = -2*h. Factor 1/5*i**2 + 0 + h*i.
i**2/5
Let s(c) = -c**3 + 6*c**2 - 4*c + 12. Let w be s(6). Let g be 8/w + 52/42. Factor 10/7*z**3 - 8/7*z**2 + 2/7*z - g*z**4 + 0.
-2*z*(z - 1)**2*(2*z - 1)/7
Let j be ((-15)/(105/(-14)))/(-1 + 8). Suppose 0*l**2 + 0 - j*l**5 + 0*l**4 + 4/7*l**3 - 2/7*l = 0. Calculate l.
-1, 0, 1
Let l(w) be the third derivative of -w**7/1365 - w**6/156 - 4*w**5/195 - w**4/39 - 6*w**2 + 4*w. Factor l(k).
-2*k*(k + 1)*(k + 2)**2/13
Let v(a) be the third derivative of -a**5/150 - a**4/5 - 12*a**3/5 + 23*a**2. Factor v(w).
-2*(w + 6)**2/5
Let p(o) be the first derivative of -o**7/210 - o**6/180 + o**5/60 + o**4/36 + o**2 + 2. Let r(b) be the second derivative of p(b). Let r(u) = 0. Calculate u.
-1, -2/3, 0, 1
Suppose 3*r - 3 = -0. Let f be (r - -2 - 0)*1. Factor 2/3*q**f + 0 - 2/3*q**4 + 0*q + 0*q**2.
-2*q**3*(q - 1)/3
Let t(h) = 2*h**2 + 2*h - 1. Let m be t(-2). Suppose 0 = l - 3, -m*q + 6*q - 27 = -4*l. Factor 0*b**3 - 1/2*b + 0 - b**4 + b**2 + 1/2*b**q.
b*(b - 1)**3*(b + 1)/2
Let g be (-4)/(-6)*(-6)/(-32). Let j = 3/8 + g. Factor -j - 1/2*k**3 - 3/2*k**2 - 3/2*k.
-(k + 1)**3/2
Suppose 0 = -3*b + 3*b + 5*b. Suppose 1/5*z**2 + b*z + 0 = 0. Calculate z.
0
Let r(m) be the first derivative of -1 + 2*m + 1/4*m**2 + 1/24*m**4 + 1/6*m**3. Let j(x) be the first derivative of r(x). Factor j(t).
(t + 1)**2/2
Let j be (-1)/3 - (-78)/18. Let o be j/6*27/6. Suppose 0 - 1/4*i**o + 0*i + 1/4*i**2 = 0. Calculate i.
0, 1
Let t(o) be the first derivative of o**3 - 3*o**2 - 9*o - 6. Factor t(s).
3*(s - 3)*(s + 1)
Let j = 46 + -3. Let f = j + -43. Suppose f - 1/2*v**2 - v = 0. What is v?
-2, 0
Let i(c) be the first derivative of -c**4/18 + 4*c**2/3 + c + 5. Let s(d) be the first derivative of i(d). Let s(l) = 0. Calculate l.
-2, 2
What is r in 4*r**4 - 506*r - 66*r**2 + 515*r - 12*r**3 - 2*r**4 + 54 + 10*r**4 + 3*r**5 = 0?
-3, -1, 1, 2
Find a, given that 4/5*a - 2/5 - 2/5*a**2 = 0.
1
Let n(c) be the second derivative of c**7/42 + c**6/15 - c**5/20 - c**4/6 - 13*c. Determine p so that n(p) = 0.
-2, -1, 0, 1
Let t(d) be the second derivative of d**6/240 - d**4/48 - d**2 - d. Let l(b) be the first derivative of t(b). Factor l(x).
x*(x - 1)*(x + 1)/2
What is b in 3/8*b**5 + 3/4*b**3 + 0 + 0*b**2 - 9/8*b**4 + 0*b = 0?
0, 1, 2
Let z(o) be the second derivative of o**5/5 + 8*o**4/3 + 34*o**3/3 + 20*o**2 - 69*o. Solve z(a) = 0.
-5, -2, -1
Let r(w) be the first derivative of -2*w**6/3 - 12*w**5/5 - w**4 + 4*w**3 + 4*w**2 + 56. Suppose r(g) = 0. Calculate g.
-2, -1, 0, 1
Suppose 22 = 3*w - 5*f, 4*w + 3*f - 8 - 2 = 0. Let j be ((-54)/15)/(w + -5). Solve 12/5*i - 2/5 + 8/5*i**3 - j*i**2 = 0.
1/4, 1
Suppose -n = -2 - 1. What is f in f**5 - f**5 - 4*f**5 - f**3 + 5*f**n = 0?
-1, 0, 1
Let m(a) be the first derivative of -21/4*a**2 + 21/8*a**4 - 3*a + a**3 - 1. Suppose m(j) = 0. Calculate j.
-1, -2/7, 1
Let l(g) be the second derivative of -g**6/60 - g**5/30 + g**4/12 + g**3/3 - g**2 - 3*g. Let x(h) be the first derivative of l(h). Factor x(y).
-2*(y - 1)*(y + 1)**2
Let g(r) be the second derivative of -5*r**4/12 + 5*r**3/6 + 5*r**2 + 9*r + 1. What is n in g(n) = 0?
-1, 2
Let r = 39 + -75/2. Determine k so that -r*k**3 - k**2 + 0*k + 0 = 0.
-2/3, 0
Solve -362*u**3 - u - 6*u - 144*u**2 - 504*u**4 - 9*u - 196*u**5 - 74*u**3 = 0.
-1, -2/7, 0
Factor 23 - 9*j - 3*j**3 + 2 - 7 - 15*j**2 + 9.
-3*(j - 1)*(j + 3)**2
Let l(w) be the first derivative of 3*w**5 + 5*w**4/2 - 35*w**3 + 10*w**2 + 60*w + 41. Determine f so that l(f) = 0.
-3, -2/3, 1, 2
Let w(k) be the second derivative of k**8/840 + k**7/210 - k**5/30 - k**4/12 + k**3/2 - k. Let q(y) be the second derivative of w(y). Factor q(n).
2*(n - 1)*(n + 1)**3
Factor -3*o**2 - 5*o**4 - 5*o - 5*o**5 + 12*o**3 + 7*o**3 - 9*o**3 - 5 + 13*o**2.
-5*(o - 1)**2*(o + 1)**3
Let o(h) be the second derivative of -h**4/24 + h**3/3 - 3*h**2/4 + 32*h. Determine n, given that o(n) = 0.
1, 3
Let m = -3 - -5. Factor 2*h + h - 3*h**m + 0*h.
-3*h*(h - 1)
Let r = -1/41 + 171/287. Solve 0*m + 0 - r*m**2 - 2/7*m**5 + 0*m**4 + 6/7*m**3 = 0 for m.
-2, 0, 1
Factor -8*s**3 + 5*s**4 + 0*s**5 + 0*s**3 + 4*s**2 - s**5 + 0*s**5.
-s**2*(s - 2)**2*(s - 1)
Find b such that 0 - 6/5*b**4 + 22/15*b**3 - 8/15*b + 32/15*b**2 = 0.
-1, 0, 2/9, 2
Let 640*x**3 + 2942*x + 80*x**4 + 451*x**2 + 4*x**5 + 697*x**2 + 2178*x + 1412*x**2 + 4096 = 0. Calculate x.
-4
Let i(a) = 2*a**2 + 11*a + 7. Let m be i(-5). Let q(l) be the first derivative of 1 + 1/4*l - 1/16*l**4 - 1/12*l**3 + 1/8*l**m. Factor q(y).
-(y - 1)*(y + 1)**2/4
Let k(c) be the first derivative of 0*c**3 + 0*c**2 - 3*c + 1/30*c**4 - 2 + 1/50*c**5. Let g(x) be the first derivative of k(x). Factor g(r).
2*r**2*(r + 1)/5
Let h(m) be the second derivative of -11/6*m**4 + 0 + 19/10*m**5 + 2/3*m**3 + 1/7*m**7 + 0*m**2 - 13/15*m**6 + 2*m. Let h(j) = 0. What is j?
0, 1/3, 1, 2
Let i(m) = 7*m**5 + 6*m**4 - 10*m**3 - 2*m**2 + 9*m + 2. Let q(z) = -z**5 - z**4 + z**3 - z. Let l(s) = i(s) + 6*q(s). What is h in l(h) = 0?
-1, 1, 2
Determine z so that -2/3*z**2 - 6 - 4*z = 0.
-3
Suppose -5*s + 2*s = g - 15, 5*s - 25 = 2*g. What is m in m + 3*m**5 - 2*m**3 + 3*m**s - 5*m**5 = 0?
-1, 0, 1
Let q(x) = -x**5 - x**3 - x**2. Let v(g) = -16*g**5 + 51*g**4 - 64*g**3 + 8*g**2. Let i(r) = 4*q(r) - v(r). Let i(z) = 0. What is z?
0, 1/4, 2
Let v = 13 + -10. Suppose 6 = v*t - 2*k - k, 0 = -5*t + 3*k + 10. Factor -4/3 + 6*f**t + 14/3*f.
2*(f + 1)*(9*f - 2)/3
Let u be (-2)/3 + (-1240)/(-60). Let o be 8/u - (-5)/50. Find a, given that -1 + 3/2*a - o*a**2 = 0.
1, 2
Let w(x) = -x + 21. Let a be w(17). Factor 1/3*m**5 + 0*m**2 + 0 - 1/3*m**3 + 0*m + 0*m**a.
m**3*(m - 1)*(m + 1)/3
Let v(o) be the second derivative of -o**7/420 + o**6/240 + o**5/120 - o**4/48 - o**2/2 + o. Let b(r) be the first derivative of v(r). Factor b(d).
-d*(d - 1)**2*(d + 1)/2
Let g(h) be the second derivative of 2*h**7/63 + 8*h**6/45 + 2*h**5/5 + 4*h**4/9 + 2*h**3/9 + 6*h. Find s such that g(s) = 0.
-1, 0
Let c(l) = l**2 + 18*l - 17