
What is g in 3*g**2 + 2*g + 0*g**2 + 4*g - 3*g = 0?
-1, 0
Let l = 17 - 17. Let p(v) be the second derivative of v + 1/6*v**4 + 0*v**3 + l - v**2. Find k, given that p(k) = 0.
-1, 1
Factor -4 - 4/3*a**2 + 16/3*a.
-4*(a - 3)*(a - 1)/3
Let i = -28 - -56. Find y such that 22*y + i*y**3 + 42*y**2 + 6*y**3 - 2 + 10*y**4 + 6 = 0.
-1, -2/5
Let x be 2 - ((-396)/(-80) - 3). Let c(i) be the second derivative of -x*i**5 - 1/4*i**4 + 3*i + 0 - 1/2*i**2 - 1/2*i**3. Factor c(d).
-(d + 1)**3
Let m(k) be the first derivative of 1/3*k**3 + k + k**2 + 2. Factor m(p).
(p + 1)**2
Factor 9*z + 7*z + 9*z - 2*z**3 - 20*z**2 + 7*z**3 - 10.
5*(z - 2)*(z - 1)**2
Let w be (-4 + (-7)/(-2))*-1. Suppose -j**2 - w*j + 1/2 = 0. Calculate j.
-1, 1/2
Let y(q) be the second derivative of -q**5/70 + q**4/14 + 4*q**3/21 + q - 18. Factor y(b).
-2*b*(b - 4)*(b + 1)/7
Let b(h) be the first derivative of 3/5*h**5 + 3/2*h**2 - h**3 - 9/4*h**4 + h**6 + 1 + 0*h. What is v in b(v) = 0?
-1, 0, 1/2, 1
Let z = -1/31 - -67/155. Find m, given that 0 - 4/5*m**2 - 2/5*m**3 - z*m = 0.
-1, 0
Let i(p) be the first derivative of -1/8*p**4 - 3*p**2 + 4*p + p**3 - 6. Factor i(b).
-(b - 2)**3/2
Let x(d) be the second derivative of -2*d**7/21 + 2*d**6/15 + 6*d**5/5 - 4*d**4/3 - 16*d**3/3 + 2*d. Solve x(j) = 0 for j.
-2, -1, 0, 2
Let u = -337/255 + 27/17. Let t(k) be the first derivative of -u*k**5 - 1/6*k**4 - 1/3*k**2 - 2 + 4/3*k**3 - 4/3*k. Solve t(x) = 0.
-2, -1/2, 1
Let c = 4 + -20/7. Factor -c*k - 18/7*k**3 - 24/7*k**2 + 0.
-2*k*(3*k + 2)**2/7
Let w(o) = -21*o**2 + 51*o - 3. Suppose -10 = 4*j - 26. Let h(x) = -11*x**2 + 25*x - 2. Let c(k) = j*w(k) - 9*h(k). Find p such that c(p) = 0.
2/5, 1
Let l(r) be the third derivative of -1/90*r**5 + 1/180*r**6 + 0*r**4 + 0*r - r**2 + 0 + 0*r**3. Factor l(t).
2*t**2*(t - 1)/3
Let x = -11 + 17. Let -x*k**3 - 4*k**5 + 3*k**5 - k**5 - 6*k**4 - 2*k**2 = 0. Calculate k.
-1, 0
Let i be -2 + 1 + (-154)/(-10). Factor -128*g**4 + i*g**2 - 38/5*g + 4/5 + 224/5*g**3.
-2*(4*g - 1)**3*(5*g + 2)/5
Let l(q) be the first derivative of 2/9*q**2 + 10/27*q**3 - 2/45*q**5 - 1/27*q**6 - 8 + 1/6*q**4 + 0*q. Determine t, given that l(t) = 0.
-1, 0, 2
Let u(g) be the first derivative of 0*g**2 - 2/15*g**3 - 1 + 2/5*g. Solve u(s) = 0.
-1, 1
Let o(b) = -2*b**2 + 8*b - 7. Let p(n) = n**2 - 8*n + 6. Let k(d) = -6*o(d) - 7*p(d). Let a(u) = -11*u**2 - 17*u + 1. Let m(j) = 4*a(j) + 9*k(j). Factor m(q).
(q + 2)**2
Factor 14/9*l**2 - 2/3*l + 0.
2*l*(7*l - 3)/9
Let r(d) = d + 1. Let z(q) = -3*q**2 + 6. Suppose 5*b = -u - 19, -4*u + 0*b + 19 = b. Let f(y) = u*r(y) - z(y). Determine t so that f(t) = 0.
-2, 0
Let h(i) be the first derivative of -3/2*i**2 - 8 + 0*i - 3/4*i**4 + 2*i**3. Suppose h(m) = 0. What is m?
0, 1
Determine d so that -10/3*d**2 + 6/5*d**4 - 2/15*d**5 - 2*d**3 + 0 + 0*d = 0.
-1, 0, 5
Let w = 51/31 + 2/93. Let i be ((-2)/6)/(2/(-12)). Factor x**i + 2/3 - w*x.
(x - 1)*(3*x - 2)/3
Let m(b) be the third derivative of -b**5/140 + 4*b**2. Suppose m(s) = 0. Calculate s.
0
Let n(z) be the third derivative of 1/140*z**6 - 1/105*z**5 + 0*z - 1/735*z**7 + 0*z**4 + 0*z**3 + 0 - 4*z**2. What is s in n(s) = 0?
0, 1, 2
Let j(z) be the first derivative of -2*z**5/25 + z**4/10 + 2*z**3/15 - z**2/5 + 2. Determine a, given that j(a) = 0.
-1, 0, 1
Let z = 10/3 - 47/15. Factor 1/5*o**3 + 1/5*o**4 - 1/5*o**2 - z*o + 0.
o*(o - 1)*(o + 1)**2/5
Let c(l) be the first derivative of -2*l**3/3 + l**2 + 7. Solve c(z) = 0.
0, 1
Let d be (-88)/(-20) - (2/(-2) + 5). Let b be (-1)/3 - (-17)/15. Factor 0 + 2/5*i**3 + d*i + b*i**2.
2*i*(i + 1)**2/5
Let p = 9/20 + -1/180. Find i, given that -2/3*i - p + 10/9*i**2 = 0.
-2/5, 1
Let l(v) be the third derivative of -1/15*v**7 + 0 + 0*v**3 + 0*v + 1/30*v**6 + 5*v**2 + 7/30*v**5 - 1/6*v**4. What is s in l(s) = 0?
-1, 0, 2/7, 1
Solve -8/5*d**2 - 2/5 + 2*d = 0.
1/4, 1
Let 2/5*u**2 + 16/5*u + 32/5 = 0. What is u?
-4
Let i(c) be the second derivative of 0 - 4/11*c**2 + 3*c + 0*c**3 + 1/66*c**4. What is x in i(x) = 0?
-2, 2
Let c be (-3 + 12)*(-2 + -1). Let p be (c/12)/(42/(-16)). Factor -p*l**4 + 0*l**2 - 8/7*l**5 + 0*l + 0 + 2/7*l**3.
-2*l**3*(l + 1)*(4*l - 1)/7
Let x be (2 - (2 + -2)) + 18. Suppose -2*o = 3*o - x. Determine z so that 5*z**4 + 2*z**3 - 3*z**o - 4*z**3 = 0.
0, 1
Find d, given that 19/5*d + 2/5 + 17/5*d**2 = 0.
-1, -2/17
Let k(y) be the second derivative of 0*y**2 - 1/3*y**4 + 4/3*y**3 + 0 - 3/5*y**5 - 3*y. Factor k(s).
-4*s*(s + 1)*(3*s - 2)
Let w(f) = 2*f + f + 12 + 9*f**2 - 6*f**2. Let n(h) = 6*h**2 + 7*h + 23. Let z(v) = -6*n(v) + 11*w(v). What is o in z(o) = 0?
-2, -1
Let f = 7 - 13/2. Let 1/6 + 1/6*w**3 + f*w**2 + 1/2*w = 0. Calculate w.
-1
Let i = 26783/22 - 2397/2. Suppose -8/11*n + 10*n**4 + 8/11 + i*n**3 - 118/11*n**2 - 200/11*n**5 = 0. What is n?
-1, -1/4, 2/5, 1
Let n(c) be the third derivative of 0 + 1/6*c**3 + 2*c**2 + 1/60*c**6 - 1/210*c**7 + 0*c - 1/12*c**4 + 0*c**5. Factor n(y).
-(y - 1)**3*(y + 1)
Let w(c) = 8*c**3 - 3*c**2 - 3*c - 1. Let n(p) = -p**3. Let j(x) = -36*n(x) - 4*w(x). Factor j(s).
4*(s + 1)**3
Let s(a) be the first derivative of 2*a**6/3 - 8*a**5/5 - 2*a**4 + 32*a**3/3 - 14*a**2 + 8*a - 2. Suppose s(q) = 0. Calculate q.
-2, 1
Let v(d) be the third derivative of d**7/70 + 3*d**6/40 + 3*d**5/20 + d**4/8 + 8*d**2. Factor v(o).
3*o*(o + 1)**3
Let k = -16/7 + 71/28. Let j = 8 - 15/2. Let -h - 1 + j*h**3 + 3/4*h**2 - k*h**4 = 0. What is h?
-1, 2
Let c(b) = -7*b + 1. Let q be c(1). Let j(y) = -y**3 - 6*y**2 + y + 6. Let s be j(q). Factor -3/4*a**4 - 3/4*a**2 - 3/2*a**3 + s*a + 0.
-3*a**2*(a + 1)**2/4
Let r(c) = c**3 + 8*c**2 + c - 2. Let l be r(-8). Let n be 2/(-10) - 42/l. Factor 0*p**3 + 5*p**3 - n*p**3 - 2*p**2 + p.
p*(p - 1)**2
Suppose -9*v + 8*v + 2 = 0. Find z such that 10/3*z**5 + 26/3*z**4 + 0 - 2/3*z**v + 6*z**3 - 4/3*z = 0.
-1, 0, 2/5
Let b(d) be the third derivative of d**8/1008 + d**7/180 + d**6/240 + 5*d**2. Determine f, given that b(f) = 0.
-3, -1/2, 0
Suppose 0 = -2*z - i + 7, 4*z - 3*i + 1 = -0*i. Suppose 3*n - z = 4. Find g, given that g**3 - 2*g + g**n - 2*g**4 + g**2 + g**3 = 0.
-1, 0, 1
Let g(x) be the third derivative of x**8/1008 + x**7/210 + x**6/360 - x**5/60 - x**4/36 + 56*x**2. Suppose g(u) = 0. What is u?
-2, -1, 0, 1
Let p(r) be the second derivative of 2*r**6/15 + r**5/5 - r**4 - 2*r**3/3 + 4*r**2 - 7*r + 4. Factor p(x).
4*(x - 1)**2*(x + 1)*(x + 2)
Solve -2/5*s**2 - 1/5*s + 0 = 0.
-1/2, 0
Suppose -2*l - d = -3*d - 14, 0 = 2*d. Let h = -4 + l. Let 0*g + 1/3*g**h + 0 + 1/3*g**2 = 0. What is g?
-1, 0
Factor 2 - 3 - y**4 - y**5 + 2*y**3 - 3*y**2 + 5*y**2 - y.
-(y - 1)**2*(y + 1)**3
Suppose -4*l - 48 = -l. Let d = l + 50/3. Determine o, given that d*o**4 + 0 + 0*o - 2/9*o**2 - 4/9*o**3 = 0.
-1/3, 0, 1
Let v(o) be the first derivative of -3*o**2 + 0*o - 27/20*o**5 + 5*o**3 - 9/8*o**4 - 5. Factor v(k).
-3*k*(k + 2)*(3*k - 2)**2/4
Let f(q) = 2*q - 7. Let c = 12 + -6. Let w be f(c). Factor w*y + 8*y**2 - 7*y - 2*y**5 - 6*y**3 + 8*y**4 - 6*y**3.
-2*y*(y - 1)**4
Let i be (-2 - (2 + -3)) + 4. Suppose 6 + 3 = 3*v. Factor -19*p**i - 10*p + 16*p**4 + 1 - 19*p**3 + 51*p**2 - 18*p**2 - 2*p**v.
(p - 1)**2*(4*p - 1)**2
Let z(w) = 4*w**3 - w**2. Let l be z(1). Factor -l - 2*p**2 - 2*p + 0*p + 7.
-2*(p - 1)*(p + 2)
Let v be 6/36*0 + 1 + -1. Let x(k) be the second derivative of 0*k**2 - 4/45*k**6 + 0*k**3 + 1/6*k**5 + v + 3*k - 1/18*k**4. Factor x(j).
-2*j**2*(j - 1)*(4*j - 1)/3
Let j(t) be the third derivative of t**7/735 - t**6/420 - t**5/210 + t**4/84 + 4*t**2. Solve j(a) = 0 for a.
-1, 0, 1
Let s(m) = m**2 - 3*m - 7. Let u be s(5). Let j be (-8)/80 + 3/6. Factor -4/5 - 2/5*g**u + j*g + 4/5*g**2.
-2*(g - 2)*(g - 1)*(g + 1)/5
Let n(r) = -21*r**5 + 41*r**4 - 19*r**3 - r**2 + 5. Let s(t) = 11*t**5 - 21*t**4 + 9*t**3 + t**2 - 3. Let y(v) = 3*n(v) + 5*s(v). Factor y(h).
-2*h**2*(h - 1)**2*(4*h - 1)
Suppose 4*b = -5*x + 12, -b + 4 + 2 = 2*x. Let p be x/(-2) - (-42)/9. Find l, given that p*l**2 + 2/3*l**3 - 8/3*l**4 + 0 - 2/3*l = 0.
-1, 0, 1/4, 1
Let q = 35 - 33. Solve 0 - 4/5*x - 2*x**q + 6/5*x**3 = 0 for x.
-1/3, 0, 2
Suppose p + 56 = -4. Let u be (-2)/2*p/12. Let -1/5*q + 2/5*q**3 + 1/5 - 2/5*q**2 + 1/5*q**4 - 1/5*q**u = 0. Calculate q.
-1, 1
Let y(a) be the second derivative of a**5/100 - a**4/30 + a**3/30 - 13*a. Supp