Let -2*q**3 - 3*q**i + 6*q**3 = 0. What is q?
0
Let k = -294 + 2064/7. Determine u, given that -2/7*u**2 - k*u - 4/7 = 0.
-2, -1
Suppose 4*k = k + 6. Suppose 4 = -6*d + d + 4*a, -2*a + k = -3*d. Factor d*j + 0 + 1/2*j**2.
j**2/2
Factor 2/3*s**2 + 2/3*s**4 + 0*s + 0 + 4/3*s**3.
2*s**2*(s + 1)**2/3
Factor -15*c**2 + 2 - 2 - 25*c**3 - 4*c - 5*c**2.
-c*(5*c + 2)**2
Let d(y) be the second derivative of y**6/120 - y**5/60 + 2*y**2 - 3*y. Let g(x) be the first derivative of d(x). Factor g(o).
o**2*(o - 1)
Let m(v) be the second derivative of -v**5/90 - v**4/9 - v**3/3 + 7*v. Suppose m(p) = 0. Calculate p.
-3, 0
Let -36*x - 8*x**3 + 26*x**2 + 4 + 0*x + 14*x = 0. Calculate x.
1/4, 1, 2
Let r(p) be the first derivative of p**4/16 - p**3/2 - p**2/8 + 3*p/2 - 22. Factor r(i).
(i - 6)*(i - 1)*(i + 1)/4
Suppose z + 15 = 4*z. Suppose -z*j + 7 = -8. Let x**2 - x**4 + x**5 + 2*x + 4*x**j + 0*x - 7*x**3 = 0. What is x?
-1, 0, 1, 2
Let j be (-6)/10 + (-91)/(-35). Factor 0 - 2*o**2 + 0*o**j - 1 + 2*o + o**2.
-(o - 1)**2
Suppose -2*u = 2*u + 540. Let t be (6/u)/(5/(-350)). Let 10/3*c**5 + 8/9*c - 16/9*c**2 + 0 - 26/9*c**3 + t*c**4 = 0. What is c?
-1, 0, 2/5, 2/3
Suppose 0 = -z - z + 4. Let k(m) be the second derivative of -m**3 - m + z*m**2 + 0 + 1/6*m**4. Let k(s) = 0. Calculate s.
1, 2
Let y(v) be the first derivative of -2/9*v**3 - 7/9*v**2 - 3 - 4/9*v. Factor y(m).
-2*(m + 2)*(3*m + 1)/9
Let g(h) = h**2 - 7*h - 6. Let p be g(8). Let y(w) be the first derivative of -w**p - 3 + 0*w - 1/2*w**4 - 4/3*w**3. Solve y(u) = 0.
-1, 0
Let z = 15 + -12. Let l(o) be the third derivative of -1/420*o**6 - 1/210*o**5 + 0*o**4 + 0 + 0*o**z + 0*o + o**2. Find d, given that l(d) = 0.
-1, 0
Let p(c) = 3*c**4 - 27*c**3 + 7*c**2 + 13*c - 10. Let n(d) = -d**4 + 14*d**3 - 4*d**2 - 6*d + 5. Let g(v) = 7*n(v) + 4*p(v). Determine l so that g(l) = 0.
-1, 1
Determine g, given that -25/4 - 5/2*g - 1/4*g**2 = 0.
-5
Let c be (-2 - -2)*(-3)/6. Factor 1/2*a + 7/2*a**3 - 3/2*a**4 + c - 5/2*a**2.
-a*(a - 1)**2*(3*a - 1)/2
Suppose 128/11*w**5 + 482/11*w**3 + 416/11*w**4 + 2/11 + 230/11*w**2 + 38/11*w = 0. Calculate w.
-1, -1/8
Let f(o) = 4*o**4 + 13*o**3 - 10*o**2. Let w(h) = h**4 + 4*h**3 - 3*h**2. Suppose -6 = -7*d + 4*d. Let i(c) = d*f(c) - 7*w(c). Factor i(a).
a**2*(a - 1)**2
Suppose x + 13 = 3*n, 4*n = -5*x + 2*x. Let -6*f**2 + 4*f**4 + 2*f**n + 9*f + 2*f**4 - 11*f = 0. What is f?
-1, -1/3, 0, 1
Let x(h) be the third derivative of -h**7/1680 + h**6/360 + 5*h**3/6 - h**2. Let n(c) be the first derivative of x(c). Factor n(j).
-j**2*(j - 2)/2
Let l(n) = n - 4. Let x(h) = h + 2. Let d be x(4). Let u be l(d). Find j such that -2/3 + 5/3*j + 2*j**u - 11/3*j**3 - 10/3*j**4 = 0.
-1, 2/5, 1/2
Suppose -2*y + 0*y = -y. Let p(w) be the first derivative of y*w**2 + 2/15*w**3 + 0*w + 2 - 1/5*w**4 + 2/25*w**5. Determine s, given that p(s) = 0.
0, 1
Let q be ((-12)/(-16))/((-60)/(-16)). Suppose 2/5*a**2 + 0*a**3 - 2/5*a**4 + 0 + q*a**5 - 1/5*a = 0. What is a?
-1, 0, 1
Factor -2/9*j**4 + 0 + 2/9*j**2 - 2/9*j + 2/9*j**3.
-2*j*(j - 1)**2*(j + 1)/9
Let y(h) be the first derivative of -1/6*h**2 - 1/12*h**4 + 2/3*h + 2/15*h**5 - 3 - 2/3*h**3. Let y(q) = 0. Calculate q.
-1, 1/2, 2
Factor 10*w**3 - 4*w**3 + 8*w + w**3 + 36*w**2 + 9*w**3.
4*w*(w + 2)*(4*w + 1)
Let a be ((-17)/(-6))/((-14)/63). Let t = 13 + a. Factor -3/4*c - t*c**2 - 1/2.
-(c + 1)*(c + 2)/4
Suppose -6 = -3*h + 6. Let a(d) be the first derivative of 1/2*d - 1/2*d**2 + 1/6*d**3 + h. Factor a(q).
(q - 1)**2/2
Solve -9720*q**2 - 48 - 18163*q**3 - 18*q - 252*q - 30375*q**4 - 14237*q**3 - 882*q = 0 for q.
-2/3, -2/15
Suppose 5*b = -2*a + 1 + 1, -5*a - 22 = -b. Factor 1/5 + w + b*w**3 + w**4 + 2*w**2 + 1/5*w**5.
(w + 1)**5/5
Let v be (-7)/(-3) + (-14 - -12). Factor 0 + 0*d + 1/3*d**3 + v*d**2.
d**2*(d + 1)/3
Find q such that -5*q - 305 + 30*q**4 + 26*q - 21*q**3 + 314 - 39*q**2 = 0.
-1, -3/10, 1
Let h be (0 - -1)/((-440)/(-80)). Suppose 0 + h*m**2 + 0*m = 0. Calculate m.
0
Factor -15876/5*y**2 - 1512/5*y - 48/5 - 55566/5*y**3.
-6*(21*y + 2)**3/5
Let p = -4 + 7. Suppose -4 + 12 = -p*j - 4*z, -5*z = j + 10. Factor -2/7*q + j + 2/7*q**2.
2*q*(q - 1)/7
Let c(r) be the third derivative of 0*r**4 + 1/15*r**3 - 1/75*r**5 - 4*r**2 + 1/525*r**7 + 0*r**6 + 0*r + 0. Factor c(j).
2*(j - 1)**2*(j + 1)**2/5
Let g(a) be the third derivative of -a**5/100 - a**4/10 - 2*a**3/5 + 9*a**2. Determine z, given that g(z) = 0.
-2
Let b be (-3)/((-9)/10) - (2 - 0). Determine j so that 0 - 2*j**3 + 2/3*j**4 + b*j**2 + 0*j = 0.
0, 1, 2
Suppose -8 + 1 = -x. Let v be x/((-105)/(-48)) + -3. Let 1/5*j + 0 + 3/5*j**4 + v*j**2 - j**3 = 0. What is j?
-1/3, 0, 1
Let s(c) = -7*c**2 - 1. Let n be s(1). Let i be (-10)/n - (-6 - -7). Factor 1/4*j**2 + 0 + i*j.
j*(j + 1)/4
Let x = 109/210 - 2/105. Let n(t) = 2*t - 3. Let q be n(3). Factor 0*d**2 + 1/2*d**q - 1/4*d**4 + 1/4 - x*d.
-(d - 1)**3*(d + 1)/4
Let g(r) = 36*r**3 - 111*r**2 + 125*r - 39. Let o(j) = 7*j**3 - 22*j**2 + 25*j - 8. Let w(m) = -2*g(m) + 11*o(m). Factor w(i).
5*(i - 2)*(i - 1)**2
Let m(y) = -y**2 - 8*y + 3. Let n be m(-8). Solve 3/4*g + 1/2 - 1/4*g**4 - 1/4*g**2 - 3/4*g**n = 0.
-2, -1, 1
Let b(x) be the second derivative of x**4/3 + 10*x**3/3 + 8*x**2 + 2*x. Factor b(u).
4*(u + 1)*(u + 4)
Let s(w) be the third derivative of w**7/2520 + w**6/540 + w**5/360 + w**3/2 - w**2. Let a(i) be the first derivative of s(i). What is x in a(x) = 0?
-1, 0
Let l = -483 - -485. Suppose -8/5*h**4 - 12/5*h**3 + 0*h - 4/5*h**l + 0 = 0. Calculate h.
-1, -1/2, 0
Factor -30*b**3 - 96*b + 14*b**3 + 16 - 20*b**3 + 116*b**2.
-4*(b - 2)*(b - 1)*(9*b - 2)
Factor -3/2*z**2 + 0 + 0*z + 3/2*z**3 - 3/8*z**4.
-3*z**2*(z - 2)**2/8
Let n(r) be the second derivative of 2*r**7/63 + 7*r**6/45 + r**5/6 - 5*r**4/18 - 7*r**3/9 - 2*r**2/3 + 3*r. Find l such that n(l) = 0.
-2, -1, -1/2, 1
Let l(c) = 40*c**5 + 12*c**4 - 8*c**3 - 20*c**2 + 20. Let j(w) = -w**5 + w**2 - 1. Let v(a) = 20*j(a) + l(a). Factor v(d).
4*d**3*(d + 1)*(5*d - 2)
Let a be 1 + (2 - (-179)/3). Let j = a - 62. Determine r so that 2/3*r**2 - 2/3 + j*r - 2/3*r**3 = 0.
-1, 1
Let p be (2 - (-111)/(-54))/((-21)/168). Find a, given that 14/9*a**4 + 0 + 4/9*a**5 + p*a**2 + 0*a + 14/9*a**3 = 0.
-2, -1, -1/2, 0
Factor b + 12 - 5*b**2 - 8*b + 8*b**2 - 5*b.
3*(b - 2)**2
Let g be 1*11/(33/6). Suppose u - 26 = -0*u. Factor -4*f**g + 2*f**4 + u*f**3 - 26*f**3 + 2.
2*(f - 1)**2*(f + 1)**2
Let n(j) be the second derivative of j**4/42 + 2*j**3/7 + 9*j**2/7 + 21*j - 1. Factor n(y).
2*(y + 3)**2/7
Determine g, given that -80/13*g**2 + 0 - 32/13*g + 174/13*g**3 + 8/13*g**5 - 70/13*g**4 = 0.
-1/4, 0, 1, 4
Let 15/2*c**2 + 0*c - 5*c**3 + 0 - 5/2*c**4 = 0. Calculate c.
-3, 0, 1
Let s(c) be the second derivative of -c**4/12 - c**3/6 + c**2 - 8*c. Find y such that s(y) = 0.
-2, 1
Suppose 3*t - 5*t - 3*h = 8, -4*t + 4*h = -24. Factor -4*s**2 - 4*s + 6*s**t + 4*s.
2*s**2
Let q be (-24)/176 + (-1)/(-2). Suppose -2*m - 2*m = 0. Find a such that m + q*a + 6/11*a**2 + 2/11*a**3 = 0.
-2, -1, 0
Let n(y) = 3*y - 21. Let w be n(7). Determine u, given that u + w - 1/2*u**2 = 0.
0, 2
Let s(y) be the first derivative of y**3/3 - 2*y**2 + 3*y + 6. Factor s(q).
(q - 3)*(q - 1)
Let o(s) be the first derivative of -3*s**4/5 + 8*s**3/5 - 3*s**2/2 + 3*s/5 + 4. Solve o(u) = 0.
1/2, 1
Let v(t) be the first derivative of -t**5/50 - t**4/30 + 2*t + 2. Let j(q) be the first derivative of v(q). Factor j(u).
-2*u**2*(u + 1)/5
Let -11*u - 9*u**2 - 5*u**3 - 9*u + 11*u**2 - 27*u**2 = 0. Calculate u.
-4, -1, 0
Suppose m + 0 + 5 = 3*l, 0 = -3*l - 4*m + 10. Solve -4*x + 1 - 4 - x**2 + 6*x + l*x**2 = 0 for x.
-3, 1
Let y(r) be the first derivative of 1/16*r**4 - 1/8*r**2 + 0*r - 4 + 0*r**3. Factor y(b).
b*(b - 1)*(b + 1)/4
Let z(a) be the third derivative of a**5/240 + a**4/48 + a**3/24 + 14*a**2. Factor z(b).
(b + 1)**2/4
Determine w so that -2/5*w**2 - 2/5*w**4 + 4/5*w**3 + 0*w + 0 = 0.
0, 1
Let s(t) = -t**3 + t**2. Let l(v) = 13*v**3 + 11*v**2 - 6*v. Let p(m) = -l(m) + 2*s(m). Solve p(a) = 0.
-1, 0, 2/5
Let n(r) = -r**2 + 2*r - 1. Let k(u) = u**2 - u. Let v be 2/(12/9 + -2). Let l be 1 - 0 - (v + 2). Let f(p) = l*k(p) + n(p). Factor f(t).
(t - 1)*(t + 1)
Let i be 28/(-8)*6/(-14). What is y in -3/4 - 3/4*y**2 - i*y = 0?
-1
Let f(q) be the third derivati