ive of -2*h**6/15 + 3*h**5/5 - 2*h**4/3 + 11*h. Suppose s(y) = 0. What is y?
0, 1, 2
Let i(b) be the second derivative of b**7/2520 + b**6/720 - b**5/60 - 2*b**4/3 + 4*b. Let c(m) be the third derivative of i(m). Suppose c(u) = 0. What is u?
-2, 1
Let x(q) = -2*q**3 + 2*q**2 + q - 2. Let z(u) = u**3. Let l(f) = 5*x(f) + 5*z(f). Factor l(h).
-5*(h - 2)*(h - 1)*(h + 1)
Factor 63 - 59 + 14*i**2 + 15*i + 3*i.
2*(i + 1)*(7*i + 2)
Let n be 4/(-1 + 2 + 0). Solve 2*a**2 + 4*a**5 + 3*a**5 + 0*a**2 + 9*a**n + 11*a**3 + 7*a**4 = 0.
-1, -2/7, 0
Let l(r) = -3*r**3 - 4*r**2 + 2*r. Suppose -2 = -o + 3. Let n(w) = 4*w**3 + 4*w**2 - 2*w. Let k(q) = o*n(q) + 6*l(q). What is g in k(g) = 0?
0, 1
Let c = -2449709718847/1534995 + 368652070/231. Let f = 1/2215 - c. Factor -56/9*q + 8/9 + f*q**2.
2*(7*q - 2)**2/9
Let u(p) be the second derivative of 1/25*p**5 + 0 - 1/5*p**3 + 1/105*p**7 + 1/5*p**2 + p + 1/15*p**4 - 1/25*p**6. Factor u(t).
2*(t - 1)**4*(t + 1)/5
Let r(h) be the third derivative of -h**5/240 + 23*h**4/48 - 529*h**3/24 - 69*h**2. Determine x, given that r(x) = 0.
23
Let n(l) be the third derivative of l**5/360 + l**4/72 + l**3/36 - 9*l**2. Suppose n(a) = 0. What is a?
-1
Let z(f) be the first derivative of -f**5/30 + f**4/3 - 4*f**3/3 - f**2 - 3. Let a(u) be the second derivative of z(u). Factor a(p).
-2*(p - 2)**2
Factor 2/13 - 2/13*m**2 + 0*m.
-2*(m - 1)*(m + 1)/13
Let v be (-195)/(-75) - (-4)/10. Suppose 1/3*o**4 - 1/3*o**2 + o**v - 1/3*o**5 - 2/3*o + 0 = 0. Calculate o.
-1, 0, 1, 2
Suppose -8*u + 12*u - 8 = 0. Suppose j = -u + 5. Factor 0 + 0*k + 0*k**j + 0*k**4 + 0*k**2 + 1/3*k**5.
k**5/3
Let d = -5 - -8. Suppose -6*m**4 - 1 + 1 + 6*m - 4*m**d + 4*m**2 + 2 - 2*m**5 = 0. Calculate m.
-1, 1
Suppose 6 = 5*g + 2*t - 6, g + 4*t - 6 = 0. Factor 4/3 + 2*z + 2/3*z**g.
2*(z + 1)*(z + 2)/3
Let g(u) = 3*u**4 + 21*u**3 + 6*u**2 + 15*u - 9. Let f(a) = -a**3 + a**2 - a + 1. Let r(m) = -9*f(m) - g(m). Suppose r(t) = 0. What is t?
-2, -1, 0
Determine n, given that -8*n**3 + 4*n**2 + 19*n**3 + 0*n**3 + 8*n**4 - 12 + 13*n**3 - 22*n - 2*n**5 = 0.
-1, 1, 6
Let o be 20/(-15)*6/(-28). Let l(y) = y**3 + 13*y**2 + y + 13. Let g be l(-13). Factor -o*r**2 - 2/7*r + g.
-2*r*(r + 1)/7
Suppose -5*i - v - 166 = 0, -3*v - 22 = -2*i + 3*i. Let d be i/(-10) - (-8)/(-20). Factor o**d + 0*o + 1/2*o**4 + 0 + 1/2*o**2.
o**2*(o + 1)**2/2
Factor 0*u - 1/7*u**5 + 0 - 1/7*u**2 - 3/7*u**4 - 3/7*u**3.
-u**2*(u + 1)**3/7
Factor 2/3*p**2 - 2/3*p + 0.
2*p*(p - 1)/3
Let x = 2173/3255 + -1/1085. Factor -2/9 - 2/3*b**2 - x*b - 2/9*b**3.
-2*(b + 1)**3/9
Solve i**5 + 26*i**3 + 9*i**4 + 18*i**2 - 3 - 2 - 27*i - 22 = 0.
-3, -1, 1
Let k(p) be the second derivative of p**6/10 + 3*p**5/20 - 3*p**4/4 - 5*p**3/2 - 3*p**2 - 18*p. Factor k(q).
3*(q - 2)*(q + 1)**3
Let z = 14/9 - -1/9. Determine u so that 0 + 4/3*u**3 - z*u**2 + 1/3*u = 0.
0, 1/4, 1
Determine o, given that 2/17*o**2 + 2/17*o + 0 = 0.
-1, 0
Let w(m) be the third derivative of 3*m**2 + 0*m**3 + 0 - 1/420*m**6 + 0*m - 1/21*m**4 - 2/105*m**5. Factor w(t).
-2*t*(t + 2)**2/7
Let m(g) be the third derivative of -g**7/420 - g**6/540 + g**5/90 + g**3/2 - 3*g**2. Let t(a) be the first derivative of m(a). What is c in t(c) = 0?
-1, 0, 2/3
Let j(f) be the third derivative of -7*f**6/48 + f**5/5 + 17*f**4/48 - f**3/2 + 9*f**2. Factor j(o).
-(o - 1)*(5*o + 3)*(7*o - 2)/2
Factor -t + 4 - 7*t - 64*t**2 + 68*t**2.
4*(t - 1)**2
Let b be -1 + 10/10 - (-6)/8. Determine j, given that -1/4*j**3 + 0 - b*j**2 - 1/2*j = 0.
-2, -1, 0
Suppose -2*n + 754 = -6*n + 2*k, 2*n = -k - 371. Let l = n + 1311/7. Suppose -2/7 - 6/7*m**2 + 6/7*m + l*m**3 = 0. What is m?
1
Let s(v) be the third derivative of -v**6/360 + v**5/180 + 5*v**4/72 + v**3/6 - 2*v**2. Suppose s(b) = 0. What is b?
-1, 3
Let t(q) be the third derivative of -1/168*q**8 + 0*q**6 + 0*q + 0*q**5 + 0*q**3 + 0 - 1/105*q**7 - 3*q**2 + 0*q**4. Find o such that t(o) = 0.
-1, 0
Let o(n) be the second derivative of -n**4/3 + 8*n**3/3 - 8*n**2 + 7*n. Suppose o(k) = 0. Calculate k.
2
Suppose 3*z = 2*z + 3. Factor 0*r**2 - 5*r**3 + r**5 - r**2 - 3*r**4 + 8*r**z.
r**2*(r - 1)**3
Let i(t) be the second derivative of t**4/30 - 2*t**3/5 + 8*t**2/5 - 4*t. Factor i(s).
2*(s - 4)*(s - 2)/5
Let j(y) be the second derivative of -y**6/240 + y**5/40 - y**4/24 + y**2 + y. Let w(x) be the first derivative of j(x). Factor w(a).
-a*(a - 2)*(a - 1)/2
Suppose -26/3*s**3 - 16/9*s - 100/9*s**2 + 250/9*s**4 + 0 - 56/9*s**5 = 0. What is s?
-2/7, -1/4, 0, 1, 4
Let q(h) be the second derivative of -h**5/6 + 7*h**4/18 - 2*h**3/9 + 3*h. Solve q(g) = 0 for g.
0, 2/5, 1
Let l be 2/(-8) + 81/36. Solve -1/6*k**l + 1/6*k**3 - 1/3*k + 0 = 0.
-1, 0, 2
Suppose 0 = 5*a - 14 - 11. Factor w**a + w**2 - w**4 + 0*w**5 - w**3 + 0*w**2.
w**2*(w - 1)**2*(w + 1)
Let l be 147/28 - 5/4. Factor 1 - 3/2*h + 5/2*h**5 + 11*h**3 - 4*h**2 - 9*h**l.
(h - 1)**4*(5*h + 2)/2
Let b be (-30)/(-9) + (-4)/(-6). Let 8/3*j**3 + 0 - 25/6*j**5 - 5/6*j**b - 2/3*j**2 + 0*j = 0. What is j?
-1, 0, 2/5
Let u(s) = s**2 - 10*s + 10. Let j(n) = 2*n - 12. Let t be j(8). Let h(p) = p - t + 3 + 0*p. Let o(g) = 6*h(g) + u(g). Factor o(v).
(v - 2)**2
Let w(b) be the third derivative of -b**5/140 + 3*b**4/14 - 18*b**3/7 - 18*b**2. Suppose w(z) = 0. Calculate z.
6
Let t(i) be the first derivative of i**6/5 + i**5/5 - i**4/6 - 4*i + 6. Let m(o) be the first derivative of t(o). Factor m(x).
2*x**2*(x + 1)*(3*x - 1)
Let x = 11 + -8. Let s be 5 + (3 - 2 - x). Factor 15*o**4 + 3*o**3 + 3*o**s + o + o**5 + 4*o**2 - 11*o**4.
o*(o + 1)**4
Let i be 5 - (3800/48)/19. Let -4/3*n**2 + 0 - 1/6*n**4 - 2/3*n - i*n**3 = 0. What is n?
-2, -1, 0
Suppose -4*b - w + 12 = 2*w, 0 = b + 3*w - 3. Suppose -k - b = -v, 5*v + 3*k - 7 = -0*v. Solve 2/3 - 2/3*a**3 + 2*a**v - 2*a = 0 for a.
1
Let b(k) = -k**2 + 7*k - 10. Let c be b(2). Let w(s) be the first derivative of 3 + 1/8*s**2 - 1/16*s**4 + c*s**3 + 0*s. Factor w(m).
-m*(m - 1)*(m + 1)/4
Let a(v) be the second derivative of 1/110*v**5 + 0*v**2 - 1/33*v**4 + 2*v + 0*v**3 + 0. Factor a(k).
2*k**2*(k - 2)/11
Let h(z) be the first derivative of -3*z**4/20 + 9*z**2/10 - 6*z/5 + 6. Factor h(p).
-3*(p - 1)**2*(p + 2)/5
Suppose 8/5*c + 26/15*c**2 + 2/15*c**4 + 4/5*c**3 + 8/15 = 0. Calculate c.
-2, -1
Let b = -801 - -804. Let -8/7*k**4 + 2*k**b - 4/7*k**2 + 0 - 2/7*k = 0. What is k?
-1/4, 0, 1
Suppose -5*w = -w - 4*v - 56, 56 = 5*w + 2*v. Suppose 0 = -5*z + z + w. Factor 0*m + m**3 - m**2 - m - 2 + z.
(m - 1)**2*(m + 1)
Let m be 0/((-3 + 2)*3). Let t(r) be the third derivative of 1/60*r**4 - 2*r**2 - 1/300*r**6 - 1/150*r**5 + 0*r + m + 1/15*r**3. Suppose t(f) = 0. What is f?
-1, 1
Let x = -14 - -14. Let l(i) be the second derivative of x*i**2 - 1/14*i**7 - 1/5*i**6 + 0 + 0*i**5 + 1/2*i**3 - 2*i + 1/2*i**4. Find n such that l(n) = 0.
-1, 0, 1
Let i be -3 + -14*2/4. Let x = -8 - i. What is n in -1/5*n**x + 3/5*n - 2/5 = 0?
1, 2
Let k(h) be the second derivative of -h**8/16800 + h**7/3150 - h**6/1800 - h**4/12 + 6*h. Let d(q) be the third derivative of k(q). Factor d(u).
-2*u*(u - 1)**2/5
Let x be 2*(-3)/(-15) + (-36)/(-10). Let r(z) be the second derivative of -2*z + 0 + 1/4*z**2 + 1/3*z**3 + 1/8*z**x. Factor r(m).
(m + 1)*(3*m + 1)/2
Determine x, given that 24*x + x**2 - x**4 + 3*x**3 - 26*x - x**5 + 0*x**4 = 0.
-2, -1, 0, 1
Let j(o) be the first derivative of o**3/33 + o**2/22 + 9. Factor j(h).
h*(h + 1)/11
Suppose 144/5*o**5 + 12*o**4 + 0 - 4/5*o**2 + 0*o - 8/5*o**3 = 0. What is o?
-1/3, 0, 1/4
Let k(q) = -4*q**2 + q - 4. Let u be (0 + -1)/(4/28). Let s = 0 + u. Let y(l) = 3*l**2 - l + 3. Let t(a) = s*y(a) - 5*k(a). Factor t(c).
-(c - 1)**2
Let u(x) be the third derivative of x**7/10080 + x**4/8 - 2*x**2. Let h(n) be the second derivative of u(n). Let h(r) = 0. Calculate r.
0
Let t(x) be the second derivative of 3*x**5/80 - 5*x**4/8 + 17*x**3/8 - 3*x**2 + 61*x. Suppose t(f) = 0. What is f?
1, 8
Let j(z) = -8*z**3 + 2*z**2 - 6*z - 2. Let a(c) = -7*c**3 + 2*c**2 - 5*c - 2. Let b be (-1 + 2 - 8)/1. Let t(x) = b*a(x) + 6*j(x). Factor t(l).
(l - 2)*(l - 1)*(l + 1)
Let w(u) = u - 1. Let q(o) = -4*o + 2. Let x(y) = -q(y) - 3*w(y). Let k be x(3). Let -2*a**3 - 4 - a**4 + a**2 + 2*a**4 + k = 0. What is a?
0, 1
What is b in 6*b**3 + 17*b**2 - 31*b**3 + 3*b**2 + 5*b**4 = 0?
0, 1, 4
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