2 - 27*x**2. Suppose g(v) = 0. What is v?
-1, -1/4, 0, 1
Suppose -2*c = -5*c + 12. Factor 7*n**2 - 3*n**c - 7*n**2 + 2*n**4.
-n**4
Let c = -11 + 6. Let t = c - -7. Determine d so that -1/2*d - 1/4*d**t - 1/4 = 0.
-1
Let 0 - 1/3*k**2 + 1/3*k = 0. Calculate k.
0, 1
Let s(k) be the third derivative of -1/120*k**5 - 1/12*k**3 + 0 + 0*k - 2*k**2 - 1/24*k**4. Let s(m) = 0. What is m?
-1
Let p(h) be the third derivative of h**6/600 - h**5/600 - h**4/240 + 7*h**2. Suppose p(b) = 0. Calculate b.
-1/2, 0, 1
Suppose 4*j = 3*c - 28, 2*c - 23 - 5 = 5*j. Factor c*l**2 + l**2 - 6*l**2.
-l**2
Let t(u) be the first derivative of u**4/4 - 2*u**3 + 4*u**2 - 6. Factor t(a).
a*(a - 4)*(a - 2)
Let z(h) = h**2 + 5*h - 6. Suppose -12 = 2*m - 0*m. Let t be z(m). Factor 1/2*c**2 + 2*c**5 + c**3 + 0*c - 7/2*c**4 + t.
c**2*(c - 1)**2*(4*c + 1)/2
Determine o, given that 2*o**4 + 4*o**5 - 2*o**2 + o**3 - o**3 - 6*o**5 + 2*o**3 = 0.
-1, 0, 1
Let s(t) be the second derivative of t**6/6 - 55*t**4/12 - 15*t**3 - 20*t**2 + 10*t. Suppose s(f) = 0. What is f?
-2, -1, 4
Let m(y) be the first derivative of -10*y**6/3 + 23*y**5 - 75*y**4/2 - 15*y**3 + 3. Let m(q) = 0. Calculate q.
-1/4, 0, 3
Factor 2*z - 2 + 15*z**2 + 3 - 14*z**2.
(z + 1)**2
Let t(o) be the second derivative of 0*o**2 + 1/4*o**4 + 3/20*o**5 + 8*o + 0*o**3 + 0. Factor t(d).
3*d**2*(d + 1)
Let l(n) be the first derivative of -1/7*n**2 - 2 + 2/21*n**3 + 0*n. Factor l(b).
2*b*(b - 1)/7
Let o = -8611/7 - -1233. Factor -64/7*j**2 - 36/7*j**3 - o*j + 8/7.
-4*(j + 1)**2*(9*j - 2)/7
Factor 0*j**5 - 4 + 2*j**5 + 4*j**2 - 8*j**2 - 10*j + 3*j**4 + 8*j**3 + 5*j**4.
2*(j - 1)*(j + 1)**3*(j + 2)
Let -3/2 - 21/8*l**4 + 57/8*l**3 + 3/8*l**5 - 75/8*l**2 + 6*l = 0. Calculate l.
1, 2
Let w(p) = 6*p**2 - 6. Let m(o) = o**3 - 13*o**2 - o + 13. Let b(x) = 3*m(x) + 7*w(x). Find q, given that b(q) = 0.
-1, 1
Let l = 6 + -3. Suppose -4*i**4 + 4*i**4 - l*i**4 + 2*i - i**5 + 3*i**2 - i**3 = 0. What is i?
-2, -1, 0, 1
Let h be (86/28 - 3)*(7 - 5). Factor 0 + 1/7*l**2 + h*l.
l*(l + 1)/7
Solve 38/3*d**2 + 8/3*d**4 + 25/3*d**3 + 28/3*d + 8/3 + 1/3*d**5 = 0 for d.
-2, -1
Suppose 4*o - 3 - 1 = 0. Suppose 11*s**2 + o - 48*s - 14 + 1 - 32*s**2 = 0. Calculate s.
-2, -2/7
Let x(j) be the second derivative of -j**5/30 - j**4/6 - j**3/3 - j**2/3 - 3*j. Factor x(g).
-2*(g + 1)**3/3
Let l = 110 - 326/3. Let b = 14/15 + -3/5. Determine h, given that b*h**4 + 4/3*h + 1/3 + 2*h**2 + l*h**3 = 0.
-1
Let g be (270/125)/(4/15). Let i = 17/2 - g. Solve 4/5*r**4 + 0 + 2/5*r - i*r**5 - 4/5*r**2 + 0*r**3 = 0.
-1, 0, 1
Let l(w) be the first derivative of -1/72*w**4 + 0*w**2 + 2/3*w**3 + 1/1080*w**6 + 0*w + 3 + 0*w**5. Let t(k) be the third derivative of l(k). Solve t(u) = 0.
-1, 1
Let a(j) = j**2 + 8*j - 9. Let x(w) = 4*w - 4. Let s(d) = -d + 5. Let g be s(5). Let n be (-5 - g) + 1 + 2. Let r(l) = n*a(l) + 5*x(l). Factor r(p).
-2*(p - 1)**2
Suppose 5*l - 49 + 4 = 0. Let b = l - 9. Factor -1/2*n**5 + 3/2*n**4 + 0*n + b - 3/2*n**3 + 1/2*n**2.
-n**2*(n - 1)**3/2
Let r(o) be the third derivative of o**6/300 + o**5/25 - 24*o**2. Factor r(a).
2*a**2*(a + 6)/5
Suppose 0*y = -4*y. Let l be (-6)/(-2) - 25/10. Solve y - 5/2*t**2 - 2*t**3 - l*t = 0 for t.
-1, -1/4, 0
Let g(x) be the third derivative of x**7/70 + x**6/120 - 7*x**5/20 + 11*x**4/24 + x**3 - 4*x**2 - 2. Suppose g(t) = 0. Calculate t.
-3, -1/3, 1, 2
Let a(z) be the second derivative of z**4/6 - 3*z**3/4 + z**2/2 + 13*z. Factor a(y).
(y - 2)*(4*y - 1)/2
Let v(x) be the first derivative of 7*x**7/30 + 7*x**6/30 + x**5/15 + x**2/2 - 3. Let j(o) be the second derivative of v(o). Factor j(a).
a**2*(7*a + 2)**2
Factor 0 + 0*h - 10/9*h**4 - 2/3*h**2 + 14/9*h**3 + 2/9*h**5.
2*h**2*(h - 3)*(h - 1)**2/9
Factor 2/11*c**2 - 24/11 - 16/11*c + 2/11*c**3.
2*(c - 3)*(c + 2)**2/11
Let z(q) = q**2 - 7*q - 7*q**2 - q**3 + 2*q. Let u be z(-5). Find w such that -w**2 + u*w + 3*w - 4*w = 0.
-1, 0
Suppose 5*u = -3 + 13. Let m(c) be the second derivative of 0*c**4 + 0 + 0*c**u + 0*c**5 + 3*c + 1/15*c**6 + 0*c**3. Let m(k) = 0. Calculate k.
0
Factor 22*n - 6*n**2 - 4*n + 2*n**2 + 21 + n**2.
-3*(n - 7)*(n + 1)
Factor -2/5*f**4 + 0*f**2 + 2/5*f**3 + 0*f + 0.
-2*f**3*(f - 1)/5
Let -2/13*m**2 + 12/13*m - 16/13 = 0. What is m?
2, 4
Let y(x) be the first derivative of -128*x**3/9 + 16*x**2 - 6*x - 12. Find p such that y(p) = 0.
3/8
Factor 0 + 0*g**2 - 1/4*g**3 + 1/4*g.
-g*(g - 1)*(g + 1)/4
Let j be -1 + -3*(-16)/12. Let u(w) be the second derivative of 0 + 0*w**2 - 2*w + 1/42*w**4 - 1/21*w**j. Factor u(q).
2*q*(q - 1)/7
Let w be (-1 - 0)/(2/(-30)). Let x = 21 - w. Factor 2*p**2 - 2*p**3 - x*p**3 + 0*p**2.
-2*p**2*(4*p - 1)
Let z(n) be the third derivative of 0 - 1/42*n**4 - n**2 + 0*n - 1/210*n**5 - 1/21*n**3. Determine y, given that z(y) = 0.
-1
Let p be (-135)/(-36) + 1/4. Let b(a) be the first derivative of 0*a**5 + 0*a - 1/3*a**6 + 0*a**3 - a**2 + a**p - 2. Suppose b(k) = 0. What is k?
-1, 0, 1
Let h(d) = -d**3. Let w(r) = 9*r**3 + 6*r**2. Let z(o) = 6*h(o) + w(o). Find j, given that z(j) = 0.
-2, 0
Find u, given that 13*u + 10*u**2 + 23*u - 10 + 5*u**3 - 41*u = 0.
-2, -1, 1
Let s be (-82)/10 + 1/5. Let h be s*(6/(-5) - -1). What is n in -h + 134/5*n**3 + 98/5*n**5 - 32/5*n - 238/5*n**4 + 46/5*n**2 = 0?
-2/7, 1
Suppose -2/13*c**2 + 4/13*c + 6/13 = 0. What is c?
-1, 3
Let q = -6/883 - 15828/9713. Let r = q - -148/77. Factor -4/7*v**3 + 2/7*v**2 + 0 + r*v**4 + 0*v.
2*v**2*(v - 1)**2/7
Let m be -3 - 5/((-260)/136). Let g = 38/65 + m. Find r such that 1/5 + 1/5*r**3 - 1/5*r**2 - g*r = 0.
-1, 1
What is r in r**3 - 1/2*r**4 + 1/2*r**2 + 0 - r = 0?
-1, 0, 1, 2
Let v be 2/(-12) - (-95)/30. Solve 3*h**3 - 3*h + 4*h - 1 - 4*h**v + h**2 = 0 for h.
-1, 1
Solve -1/9 + 1/9*g**2 + 0*g = 0 for g.
-1, 1
Factor -1 - r**2 + 4 + 1 - 3.
-(r - 1)*(r + 1)
Let q be ((-8)/(-320))/((-6)/(-5)). Let d(s) be the second derivative of -3*s + 0*s**2 + q*s**4 + 0 - 1/24*s**3. What is b in d(b) = 0?
0, 1
Let c be (-59)/30 + 3 + -1. Let v(b) be the second derivative of 0*b**2 + 0 + c*b**4 - 2*b - 1/15*b**3. What is i in v(i) = 0?
0, 1
Let c(w) be the second derivative of w**5/30 + w**4/9 - 4*w. Factor c(p).
2*p**2*(p + 2)/3
Let s be (-4 - 22/(-6))/(-1). Factor -1/6 + 1/2*w - s*w**2.
-(w - 1)*(2*w - 1)/6
Let q(a) be the first derivative of -a**5/150 + a**4/30 + a**2/2 + 4. Let r(h) be the second derivative of q(h). Factor r(g).
-2*g*(g - 2)/5
Let g(k) = 2*k + 4. Let u be g(-9). Let a be 0 - (-3 - u/6). Suppose -2*l + 2*l**2 - a*l**3 + 2/3 = 0. What is l?
1
Let y(m) = m**2 + 6*m + 2. Let d be y(-6). Factor -5*o**3 + o - 2*o**5 + 11*o**3 - 3*o**d + 3*o**5 - 4*o**4 - o**2.
o*(o - 1)**4
Let o(r) be the first derivative of -r**5/5 + r**4 - r**3 - 2*r**2 + 4*r - 24. What is p in o(p) = 0?
-1, 1, 2
Suppose -9/4*m**3 - 1/4*m**5 - 1/2*m + 7/4*m**2 + 5/4*m**4 + 0 = 0. Calculate m.
0, 1, 2
Let x = -6 + -3. Let h = -3 - x. Let -4 + g**4 + h*g**2 - 3*g**4 - 2*g**3 + 0*g**3 + 2*g = 0. What is g?
-2, -1, 1
Let n(c) = -c**3 - 8*c**2 + 10*c + 13. Let f be n(-9). Let h be (-57)/(-15) - (-2)/10. Factor -4*b + 2*b + b - h*b**f - 6*b**3 - 4*b**2 - b**5.
-b*(b + 1)**4
Let w = -14 + 9. Let h(b) = -b**3 - 5*b**2 + 2. Let u be h(w). What is z in -z**4 - u*z**2 + 3*z**4 - z + z**5 + 0*z = 0?
-1, 0, 1
Let j(m) be the first derivative of -2/3*m - 5 - 2/3*m**2 - 2/9*m**6 + 4/9*m**3 - 2/15*m**5 + 2/3*m**4. Determine k so that j(k) = 0.
-1, -1/2, 1
Let k(y) = -y**3 + 6*y**2 + 7*y + 4. Let a be k(7). Let w be (-8)/(-10)*15/2. Factor a*i**3 - w*i + 6*i + 14*i**4.
2*i**3*(7*i + 2)
Let v be (6/2 + 1)*1. Factor 8*c**v + 0*c - c - 24*c**4 + 8*c**2 - c**2 - 8*c**3.
-c*(c + 1)*(4*c - 1)**2
Let z = 24 + -42. Let m = 18 + z. Find h such that 2/13*h**2 - 4/13*h**3 - 6/13*h**4 + m*h + 0 = 0.
-1, 0, 1/3
Let v(y) be the second derivative of y**6/40 - y**5/20 + y**2/2 + 4*y. Let t(b) be the first derivative of v(b). Determine l so that t(l) = 0.
0, 1
Let q be (-32)/(-56)*14/4. What is w in -2*w - 8/5*w**q - 4/5 - 2/5*w**3 = 0?
-2, -1
Suppose 4*b = -5*h - 28 + 2, 5*h - 46 = 4*b. Let u be (-16)/(-72) - 16/b. Solve 2/9*g - 2/9*g**u + 4/9 = 0.
-1, 2
Find x, given that 6*x**4 + 38*x**5 - 2*x + 8*x**2 + 2*x**4 - 12*x**3 - 40*x**5 = 0.
0, 1
Let n be 115 + -109 + 4*(1 + -2). Suppose -8/3*t + 1/3*t**n + 16/3 = 0. What is t?
4
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