 f(t) = 0. What is t?
0, 1
Let c = 45 - 30. Let n = c - 13. Factor 0*t - 2/9*t**n + 2/3*t**3 + 0.
2*t**2*(3*t - 1)/9
Suppose -2*o = -3*u - 13, -u - 7 = 4*o + 4*u. Factor -z**3 + z**2 + z**3 - 3*z**o + 1 + z**4.
(z - 1)**2*(z + 1)**2
Suppose 0*x = -7*x + 28. Factor 0*y**3 + 0 - 2/3*y + y**2 - 1/3*y**x.
-y*(y - 1)**2*(y + 2)/3
Suppose 0*s + 4*s - 75*s**2 + 79*s**2 = 0. What is s?
-1, 0
Let s = -2 - -5. Suppose 14 = s*f + 4*p - 0*p, -4 = -3*f + p. Factor -k + f*k**4 + 2*k**2 + 2*k**3 - 2 + 1 - k**5 - 3*k**4.
-(k - 1)**2*(k + 1)**3
Let o = 5/1126 + 180125/7882. Suppose -o*f**3 - 54/7 - 72/7*f**2 + 128/7*f**4 + 162/7*f = 0. What is f?
-1, 3/4
Let a(o) = -6*o**2 + 5*o + 5. Let t(j) = 24*j**2 - 21*j - 21. Let f(p) = -9*a(p) - 2*t(p). Factor f(w).
3*(w - 1)*(2*w + 1)
Let r(a) be the second derivative of a**6/180 + a**5/30 + a**4/12 + a**3/2 + 8*a. Let v(q) be the second derivative of r(q). Find w such that v(w) = 0.
-1
Let m(n) be the second derivative of n**7/147 - 2*n**6/105 + n**4/21 - n**3/21 - n + 14. Determine x, given that m(x) = 0.
-1, 0, 1
Let z(r) = r**3 - 3*r**2 + 5*r + 1. Let t = 24 + -15. Let c(j) = -4*j**3 + 12*j**2 - 21*j - 5. Let x(a) = t*z(a) + 2*c(a). Factor x(p).
(p - 1)**3
Let p(b) be the first derivative of -b**6/6 + 8*b**5/15 - b**4/12 - 8*b**3/9 + 2*b**2/3 + 26. Find d such that p(d) = 0.
-1, 0, 2/3, 1, 2
Let t(i) = -2*i**3 + 6*i**2 + 3. Let w(u) = u + 3*u**2 + 0*u + 2 - u**3 - u. Let v(a) = 6*t(a) - 11*w(a). Solve v(h) = 0.
-1, 2
Factor 3/2 + 9/2*f + 9/2*f**2 + 3/2*f**3.
3*(f + 1)**3/2
Let j(v) be the second derivative of -v**4/4 + v**3/2 + 3*v**2 + 15*v. Factor j(y).
-3*(y - 2)*(y + 1)
Let a(x) = 5*x**2 - 2*x - 3. Let f be (2 + 2)*3/(-4). Let q(k) = 4 - 4*k**2 + 14*k - 2*k**2 - 12*k. Let b(s) = f*q(s) - 4*a(s). Find o such that b(o) = 0.
0, 1
Let n(r) be the third derivative of -27*r**7/35 + 33*r**6/10 - 157*r**5/30 + 11*r**4/3 - 4*r**3/3 + 10*r**2 - 2*r. Factor n(s).
-2*(s - 1)**2*(9*s - 2)**2
Let y(t) be the first derivative of t**5/3 - t**4/4 - 7*t**3/9 + t**2/2 + 2*t/3 + 5. Solve y(n) = 0.
-1, -2/5, 1
Factor x**3 - 19*x**2 - x**4 + 17*x**2 + 4*x**4.
x**2*(x + 1)*(3*x - 2)
Factor 26*o + 6*o**2 - 26*o + 2*o**3.
2*o**2*(o + 3)
Suppose 4 = 3*a - 8. Factor -10*j**4 - 8*j**5 + 16*j**5 + 30*j**3 - 16*j**a - 14*j**2 + 2*j.
2*j*(j - 1)**3*(4*j - 1)
Suppose -5*q - 5 = -5*m, -10 = -3*m + 2*q - 6*q. What is o in 1/3*o**m + 2/3 - o = 0?
1, 2
Let x(v) be the third derivative of 0*v**3 + 0 + 0*v**4 + 0*v + 1/60*v**6 + 1/15*v**5 - 2*v**2. Determine c, given that x(c) = 0.
-2, 0
Suppose 0 - 4*w**3 - 16/3*w - 20/3*w**4 + 16*w**2 = 0. Calculate w.
-2, 0, 2/5, 1
Suppose -36*m - 88*m**3 + 124*m**3 + 28*m**2 - 7*m**4 - 20 - m**4 = 0. What is m?
-1, -1/2, 1, 5
Let x be 3/9 - 30/9. Let n be 1/x + -4 + 7. Let 20*q**3 - 8*q - 22/3*q**2 + 50/3*q**4 + n = 0. Calculate q.
-1, 2/5
Suppose -4*w - 7 - 133 = 0. Let s be (-14)/w + 0/1. Let 0 + s*m**2 + 0*m = 0. Calculate m.
0
Let x = -8 - -11. Let b(z) be the first derivative of z**2 - 2 + 2/3*z**x + 0*z. Let b(t) = 0. Calculate t.
-1, 0
Suppose 0 = -3*v - 33 - 0. Let t = v + 15. Find g, given that 14*g**2 + 4*g - 10*g**5 - 5*g**t + 6*g**3 - g**4 - 11*g**4 + 3*g**4 = 0.
-1, -2/5, 0, 1
Let m = -551 - -553. Determine o, given that -1/2*o**4 - 1/2*o**m + 3/2*o**3 + 1 - 3/2*o = 0.
-1, 1, 2
Suppose f - 2*f + 4 = m, -5*f = -2*m + 8. Let q(x) be the second derivative of 7/15*x**3 + 1/15*x**m + 0 - 2*x - 7/50*x**5 - 2/5*x**2. Factor q(p).
-2*(p - 1)*(p + 1)*(7*p - 2)/5
Factor 2/3 - 1/3*v - 2/3*v**2 + 1/3*v**3.
(v - 2)*(v - 1)*(v + 1)/3
Let j(s) = -s**3 - 1. Let d(q) = 8*q**3 + 30*q**2 + 45*q + 3. Let t(c) = -d(c) - 3*j(c). Factor t(u).
-5*u*(u + 3)**2
Factor 180*s**2 - 2*s - 179*s**2 - 7*s.
s*(s - 9)
Let h(d) be the second derivative of -9*d**6/10 + 18*d**5/5 - 11*d**4/2 + 4*d**3 - 3*d**2/2 + 14*d. Solve h(a) = 0.
1/3, 1
Let c(i) = -14*i**3 + 18*i**2 + 14*i - 10. Let m(n) = 5*n**3 - 6*n**2 - 5*n + 3. Let g(f) = -3*c(f) - 8*m(f). Suppose g(o) = 0. Calculate o.
-1, 1, 3
Let d(h) be the second derivative of -h**5/160 - h**4/32 + h**2/4 + 8*h. Factor d(o).
-(o - 1)*(o + 2)**2/8
Let k be (-1 + (-4)/(-3))*0. Factor 2/9*f**2 - 4/9*f + k.
2*f*(f - 2)/9
Let f be (-8)/48 - (-38)/84. Let p = 10 - 8. Determine g so that 4/7*g**p + 2/7*g - f = 0.
-1, 1/2
Let a = 37921/60 - 632. Let d(o) be the second derivative of -3*o + 0*o**3 - a*o**6 + 1/12*o**4 + 0 + 0*o**2 - 1/40*o**5. Solve d(j) = 0.
-2, 0, 1
Factor 3 - 1/2*u - 1/2*u**2.
-(u - 2)*(u + 3)/2
Let j(x) be the third derivative of 0 + 0*x**4 + 7*x**2 + 1/210*x**7 + 0*x - 1/60*x**5 + 0*x**3 + 0*x**6. Factor j(n).
n**2*(n - 1)*(n + 1)
Let j(y) be the first derivative of -1/25*y**5 + 0*y**2 + 0*y**3 + 0*y - 1 + 1/20*y**4. What is t in j(t) = 0?
0, 1
Factor 0*o**2 - 4*o**2 + 2*o**2 + 38*o**3 + 2*o**4 - 40*o**3 + 2*o**5.
2*o**2*(o - 1)*(o + 1)**2
Let y be 7 - (1/1 - 0). Factor -3*i**3 - y*i**2 + 2*i - 5*i + 0*i**3.
-3*i*(i + 1)**2
Find o such that -2/3*o**3 + 1/3*o**4 + 1/3*o**5 + 0*o + 0 + 0*o**2 = 0.
-2, 0, 1
Let a = -1251/5 - -251. Factor a + 8/5*n - n**2.
-(n - 2)*(5*n + 2)/5
Let v(t) be the first derivative of -14*t**3/15 + 51*t**2/5 - 28*t/5 - 8. Solve v(y) = 0 for y.
2/7, 7
Let i(a) be the first derivative of 3 + 1/15*a**2 + 1/30*a**4 + 16/25*a**5 + 0*a - 4/15*a**3 + 16/45*a**6. Factor i(j).
2*j*(j + 1)**2*(4*j - 1)**2/15
Let q(o) be the third derivative of -o**8/168 + o**7/35 - o**6/20 + o**5/30 - 4*o**2. Determine j so that q(j) = 0.
0, 1
Let s = -19/6 + 10/3. Let n(y) be the first derivative of -s*y**4 + 2 + 0*y**2 + 0*y - 1/9*y**3 - 1/15*y**5. Factor n(f).
-f**2*(f + 1)**2/3
Let n(c) be the first derivative of c**3/6 - c**2/4 - c - 20. Factor n(j).
(j - 2)*(j + 1)/2
Let c(s) be the third derivative of 0 - 1/240*s**5 + 1/840*s**7 + 0*s - 1/96*s**4 + 0*s**3 + 1/480*s**6 + 2*s**2. Factor c(b).
b*(b - 1)*(b + 1)**2/4
Let a = 67 + -197/3. Let q(v) be the first derivative of 1/2*v**4 + v**2 + a*v**3 + 1 + 0*v. Factor q(j).
2*j*(j + 1)**2
Let v(z) be the first derivative of -1/240*z**5 - 1/32*z**4 - 1/12*z**3 + 0*z - 2 - 1/2*z**2. Let c(w) be the second derivative of v(w). What is q in c(q) = 0?
-2, -1
Let v be -3 + (0 - -6) - 0. Let t(h) be the second derivative of 0*h**2 + h + 0 + 1/150*h**6 - 1/60*h**4 + 0*h**5 + 0*h**v. Factor t(f).
f**2*(f - 1)*(f + 1)/5
Factor 0 + 2*h + 9/2*h**3 - 6*h**2.
h*(3*h - 2)**2/2
Let j be 6/30 - 13/(-35). Factor 6/7*c - 2/7*c**2 - j.
-2*(c - 2)*(c - 1)/7
Let g = 189 - 566/3. Factor -1/3*s**3 - 1/3*s**2 + g*s + 1/3.
-(s - 1)*(s + 1)**2/3
Let y(j) be the second derivative of -j**5/240 - j**4/48 - j**3/24 - 2*j**2 + 4*j. Let q(s) be the first derivative of y(s). What is i in q(i) = 0?
-1
Let c(n) = -n**2 - 4*n + 5. Let q be c(-5). Let x be (-2)/(q + (-3)/6). Factor 4*m**3 - 16*m + x*m**4 - 16*m**3 - m**4 - 5*m**4 - 24*m**2.
-2*m*(m + 2)**3
Let h(v) be the first derivative of -v**7/420 - v**6/180 + v**5/30 + v**3 + 6. Let f(g) be the third derivative of h(g). Factor f(o).
-2*o*(o - 1)*(o + 2)
Let f = -17 + 24. Let y = -5 + f. Factor 2/3*b**4 + 0 + 2/3*b + y*b**3 + 2*b**2.
2*b*(b + 1)**3/3
Let g = -74 - -74. Let q be 7/((-63)/(-6)) + 0. Solve g - 2/3*n**2 + q*n = 0.
0, 1
Let x(c) = c**3 - c**2 + 1. Let a(f) = 39*f**3 + 41*f**2 + 10*f + 4. Let r(l) = a(l) - 4*x(l). Factor r(y).
5*y*(y + 1)*(7*y + 2)
Let d(y) be the second derivative of y**4/54 + 4*y**3/27 + 4*y**2/9 - 4*y. Factor d(f).
2*(f + 2)**2/9
Let c(u) be the second derivative of u**6/15 - u**5/10 - u**4/2 + u**3/3 + 2*u**2 - 5*u. Factor c(r).
2*(r - 2)*(r - 1)*(r + 1)**2
Let k(l) be the second derivative of -l**5/190 - 3*l**4/19 - 36*l**3/19 - 216*l**2/19 - 14*l. Factor k(v).
-2*(v + 6)**3/19
Solve -3*o - 4*o**2 + o**3 + 10*o**2 - 4*o**3 = 0 for o.
0, 1
Let k be (-7)/(-1) - (6 + -3). Suppose p = -p - 3*t - 2, k*p = -4*t. Let 10/3*b**p + 8/3*b**4 + 22/3*b**3 - 4/3*b + 0 = 0. What is b?
-2, -1, 0, 1/4
Let l(v) be the first derivative of -1/24*v**6 - 1 + 0*v + 3/2*v**2 - 3/8*v**4 - 1/3*v**3 - 1/5*v**5. Let n(g) be the second derivative of l(g). Factor n(o).
-(o + 1)**2*(5*o + 2)
Let u(v) = -4*v**2 + 121*v - 1024. Let j(m) = -2*m**2 + 61*m - 512. Let b(i) = 14*j(i) - 6*u(i). Factor b(y).
-4*(y - 16)**2
Suppose 0*l = l - 5. Suppose 0 = 4*z - z - l*f - 17, 0 = -5*z + 3*f + 23. Factor z*s**3 + 3 