0 for i.
-1, 1/5, 1
Let g(y) = -7*y**2 - 8*y - 12. Let t(u) = 20*u**2 + 25*u + 36. Let o(c) = 11*g(c) + 4*t(c). Find v, given that o(v) = 0.
-2
Let v(a) = 3*a + 8. Let t be v(-2). Let k(m) be the second derivative of -m - 1/9*m**3 + 2/3*m**t + 0 - 1/18*m**4. Determine d so that k(d) = 0.
-2, 1
Suppose 5*x + 0*m + 2*m - 9 = 0, -x - 6 = 3*m. Let a(n) be the second derivative of -3*n + 1/6*n**4 + 0*n**2 + 0 - 1/3*n**x. Factor a(d).
2*d*(d - 1)
Let f(r) be the first derivative of 0*r - 1/18*r**3 + 1/30*r**5 + 0*r**2 + 1/36*r**6 - 3 - 1/24*r**4. Solve f(d) = 0 for d.
-1, 0, 1
Let f(v) be the second derivative of -3*v + 0*v**3 + 1/80*v**5 + 0*v**2 + 0 - 1/24*v**4 + 1/120*v**6. Factor f(x).
x**2*(x - 1)*(x + 2)/4
Let h(o) be the third derivative of o**8/6720 + o**7/1680 - o**6/720 - 7*o**4/24 - 3*o**2. Let n(i) be the second derivative of h(i). Factor n(v).
v*(v + 2)*(2*v - 1)/2
Let q be ((-88)/55)/(2/(-5)). Factor -q*d**3 - 2*d + 8*d**2 + 0*d - 2*d.
-4*d*(d - 1)**2
Let v(z) = -z - 1. Let f(s) = s**2 - 3*s + 12. Let l(q) = -f(q) - 5*v(q). Let l(p) = 0. What is p?
1, 7
Solve 2/3*l**4 + 8*l**2 + 0 + 16/3*l + 4*l**3 = 0 for l.
-2, 0
Suppose -2*n - 27 = -5*n. Suppose -n*c**2 + 3*c + 3*c**2 - 24*c - 6 - 3*c**2 = 0. Calculate c.
-2, -1/3
Let x(y) be the third derivative of -y**5/420 + y**4/42 - y**3/14 + 7*y**2. Factor x(u).
-(u - 3)*(u - 1)/7
Let w(h) be the third derivative of 0 - 1/12*h**3 + 1/16*h**4 + 0*h + 6*h**2 - 1/60*h**5. Factor w(f).
-(f - 1)*(2*f - 1)/2
Suppose y - 12 = -4*n, 0 = -n + 3*n - y - 12. Factor 2*h**2 - 5*h**5 + 0*h**3 - n*h**2 - 6*h**4 - 6*h**3 + 3*h**5.
-2*h**2*(h + 1)**3
Let p(t) be the second derivative of -t**4/16 + 3*t**2/8 - 8*t. Let p(q) = 0. What is q?
-1, 1
Let v = 11 + -11. Let w(c) be the third derivative of -1/75*c**5 + 0 - 2*c**2 + 1/60*c**4 + 0*c**3 + 1/300*c**6 + v*c. Factor w(j).
2*j*(j - 1)**2/5
Let z = -676 - -4742/7. Let -z*o**2 - 4/7 + 2*o = 0. What is o?
2/5, 1
Factor -15*v**4 + 2*v + 4*v**2 + 2*v - 4*v**3 + 11*v**4.
-4*v*(v - 1)*(v + 1)**2
Let k(o) be the first derivative of 21*o**5/5 - 9*o**4 - 11*o**3 + 18*o**2 + 12*o + 1. Let k(t) = 0. Calculate t.
-1, -2/7, 1, 2
Let 6/7*r**3 + 0 + 3/7*r**5 + 9/7*r**4 + 0*r**2 + 0*r = 0. What is r?
-2, -1, 0
Factor -5/4*y + 1/4*y**2 + 3/2.
(y - 3)*(y - 2)/4
Let b(x) be the second derivative of 1/8*x**4 - 2*x + 0 + x**3 + 3*x**2. Determine g so that b(g) = 0.
-2
Suppose q + 4 = 3*q. Let d be (-8 + 5)/(1*-1). Factor -2*l + l**2 - 4*l - d*l + q + 6*l.
(l - 2)*(l - 1)
Let p(o) be the second derivative of 1/4*o**4 + 3/2*o**2 + 0 + o**3 - 3*o. Factor p(m).
3*(m + 1)**2
Factor -8/9*j**2 + 0 - 2/9*j - 8/9*j**4 - 2/9*j**5 - 4/3*j**3.
-2*j*(j + 1)**4/9
Let g(y) be the first derivative of -y**5/210 + y**4/42 - y**3/21 + y**2 - 5. Let p(a) be the second derivative of g(a). What is n in p(n) = 0?
1
Let d be ((-4)/3)/((-7)/21). Factor 6*h - d*h**3 - 4*h**3 + 5*h**3 - 3*h**2.
-3*h*(h - 1)*(h + 2)
Suppose -3*y + 3*g - 4 = 5, 4*y - 5*g + 15 = 0. Let z(p) be the first derivative of 1 - p**2 - 8/3*p**3 + y*p - 1/3*p**6 - 3*p**4 - 8/5*p**5. Factor z(k).
-2*k*(k + 1)**4
Let n(z) = -z + 23. Let k be n(21). Factor -4/7*s**k - 2/7*s**3 + 0 - 2/7*s.
-2*s*(s + 1)**2/7
Let p(n) be the third derivative of 1/70*n**5 + 0 - 1/21*n**4 + 0*n + n**2 + 1/21*n**3. Solve p(i) = 0 for i.
1/3, 1
Let o be 4/10 + 69/15. Let f be (2*1)/(2/4). Factor -d + d**f + o*d**3 + 7*d**3 - 11*d**3 - d**2.
d*(d - 1)*(d + 1)**2
Let h(j) be the first derivative of -j**3 - 6*j**2 - 12*j + 11. Factor h(i).
-3*(i + 2)**2
Suppose -23 = -2*m - 2*w + 5*w, 0 = -m - 4*w - 16. Let s(i) be the second derivative of -i**2 + 2*i + 0 + 0*i**3 + 1/6*i**m. Factor s(c).
2*(c - 1)*(c + 1)
Let u be (-1 - 0)*(7 + -10). Let -t**2 - 1/7 - 5/7*t - 3/7*t**u = 0. What is t?
-1, -1/3
Let h(j) = j**2 + 5. Let n be (-1)/(2/(-2*1)). Let x(t) = n + 0 + 0. Let w(a) = h(a) - 6*x(a). Factor w(v).
(v - 1)*(v + 1)
Let p(h) be the third derivative of h**7/70 - 9*h**6/40 + 11*h**5/10 - 16*h**3 - 24*h**2. Factor p(a).
3*(a - 4)**2*(a - 2)*(a + 1)
Suppose 0 = -4*s + 3*s + 15. Let w be (35/s)/(-7) + 1. Suppose w*c + 0 + 8/3*c**2 + 2*c**3 = 0. Calculate c.
-1, -1/3, 0
Let l be 21/2 + (-5)/10. Suppose -2*u + l = 3*u. Determine n, given that 0 + 0*n**u - 1/2*n**3 + 0*n + 1/2*n**4 = 0.
0, 1
Let i(u) = -3*u**4 - 6*u**3 - 9*u**2 + 6*u. Let j(s) be the first derivative of -s**3/3 + s**2/2 - 2. Let b(l) = -i(l) + 6*j(l). Factor b(k).
3*k**2*(k + 1)**2
Let g(m) be the first derivative of -4*m**3/21 - 20. Find k such that g(k) = 0.
0
Let n(y) be the first derivative of -1/60*y**5 + 3 - 1/6*y**3 - 1/12*y**4 + y**2 + 0*y. Let u(a) be the second derivative of n(a). Factor u(r).
-(r + 1)**2
Determine a, given that 1 - 151*a**3 + 155*a**3 - 4*a - 1 - 4*a**4 + 4*a**2 = 0.
-1, 0, 1
Let y(o) = 9*o**3 - 2*o**2 - 9*o + 9. Let w(l) = 6*l**3 - l**2 - 6*l + 6. Let i(s) = 7*w(s) - 5*y(s). Factor i(f).
-3*(f - 1)**2*(f + 1)
What is i in -15/4*i + 0 - 25/4*i**2 + 5/4*i**4 - 5/4*i**3 = 0?
-1, 0, 3
Let l(n) be the first derivative of 0*n**2 - 6 + 4/9*n**3 - 2/3*n**4 + 0*n + 4/15*n**5. Factor l(y).
4*y**2*(y - 1)**2/3
Factor -21 + 6*s - 3/7*s**2.
-3*(s - 7)**2/7
Let x(c) be the second derivative of c**7/17640 + c**6/5040 + c**4/12 - 5*c. Let s(n) be the third derivative of x(n). Factor s(o).
o*(o + 1)/7
Let 256*c**3 - 4*c**2 - 13*c**4 + c**4 - 240*c**3 = 0. What is c?
0, 1/3, 1
Let s be 1/(15/69) + (-21)/35. Let m(r) be the third derivative of 0 + 1/9*r**3 - r**2 - 1/360*r**6 + 0*r**5 + 1/24*r**s + 0*r. Find x, given that m(x) = 0.
-1, 2
Let i(u) = -u**3 + u**2 + u + 1. Let t = -5 - -1. Let b(k) = 2*k**3 - 10*k**2 - 10*k - 6. Let x(o) = t*i(o) - b(o). Factor x(r).
2*(r + 1)**3
Let z(h) be the third derivative of h**6/60 + 2*h**5/15 - h**2. Factor z(n).
2*n**2*(n + 4)
Let p(o) = 3 + 0*o - 2*o - 7 + 26. Let z be p(9). Determine v, given that 0 - 2/9*v**5 + 0*v**3 - 4/9*v**2 + 4/9*v**z + 2/9*v = 0.
-1, 0, 1
Let w = -4 + 45/11. Let b = w - -19/33. Determine d, given that -2/3 + 0*d + b*d**2 = 0.
-1, 1
Determine h so that -1/2 - 5/8*h - 1/8*h**2 = 0.
-4, -1
Let l(i) = 0 - 2 - 2*i**2 + 0*i**2 + 4. Let q(o) = o - 1. Let r be q(-7). Let f(d) = -6*d**2 + 6. Let y(j) = r*l(j) + 3*f(j). Factor y(v).
-2*(v - 1)*(v + 1)
Suppose 3*x - 94 = 203. Solve a**2 + 2*a - 120*a**4 - 34*a**2 + x*a**3 + a + 48*a**5 + 3*a**2 = 0.
0, 1/4, 1
Let c(h) be the third derivative of h**6/90 + h**5/30 - h**4/3 + 2*h**3/3 - 4*h**2. Let y(l) be the first derivative of c(l). Factor y(a).
4*(a - 1)*(a + 2)
Suppose 5 - 29 = 3*c. Let k = c + 12. Let y(u) = -2*u**2 - 12*u + 2. Let s(r) = 3*r**2 + 11*r - 1. Let o(t) = k*s(t) + 3*y(t). Let o(a) = 0. What is a?
-1, -1/3
Suppose -3*p**2 - 4*p**3 - 5*p**2 - 202*p + 2 + 206*p + 6 = 0. Calculate p.
-2, -1, 1
Let u(r) = -3*r**2 - 12*r**4 - 21 + 27*r**2 - 9*r + 0*r**2. Let f(g) = -3*g**4 + 6*g**2 - 2*g - 5. Let p(w) = 9*f(w) - 2*u(w). Find a such that p(a) = 0.
-1, 1
Solve -9*i - i**3 + 0*i**3 - 4*i**2 - 9*i + 15*i = 0.
-3, -1, 0
Let a be 6/(-7)*(-5 - (-65)/15). Factor -a*v**2 - 2/7*v + 0 - 2/7*v**3.
-2*v*(v + 1)**2/7
Suppose -w - 2*s = 7, 3*w - 2*s = 21 - 2. Suppose -w = -a - 1. What is q in 0 - 1/2*q**a - q**3 - 1/2*q**4 + 0*q = 0?
-1, 0
Let y(l) be the third derivative of -l**7/525 + 7*l**6/450 - 23*l**5/450 + 4*l**4/45 - 4*l**3/45 + 14*l**2. Let y(f) = 0. Calculate f.
2/3, 1, 2
Let g(w) be the second derivative of -w**7/1260 + w**5/360 + w**2/2 - 4*w. Let z(h) be the first derivative of g(h). Determine k, given that z(k) = 0.
-1, 0, 1
Let u(w) be the second derivative of 0*w**2 + 1/8*w**5 - 13/180*w**6 + 1/63*w**7 + 2*w + 1/36*w**3 - 7/72*w**4 + 0. Solve u(n) = 0.
0, 1/4, 1
Let w(o) = -5*o**2 + 9*o - 8. Let r(h) = 16*h**2 - 27*h + 25. Let l(a) = -2*r(a) - 7*w(a). Solve l(t) = 0.
1, 2
Factor -2/5*i**2 - 22/5 + 24/5*i.
-2*(i - 11)*(i - 1)/5
Let j(f) = f**3 + 26*f**2 - 27*f + 4. Let d be j(-27). Let -2/3*r**2 + 1/3*r**d + 0*r**3 + 1/3 + 0*r = 0. Calculate r.
-1, 1
Let i(k) be the second derivative of 4*k - 1/3*k**3 - 2/5*k**5 + 2/3*k**4 + 0*k**2 + 0. What is a in i(a) = 0?
0, 1/2
Suppose -22 = -5*d - o + 2*o, 10 = 5*d + 5*o. Factor z - d*z + 0*z + 3*z**2 + 0*z.
3*z*(z - 1)
Let u be -2 + (-5)/((-10)/12). Let d = u + -6. Let r(y) = -2*y**3 + 3*y**2 - 1. Let j(k) = k**3 - k**2 + k - 1. Let q(b)