 - 1/30*g**5 - 1/3*g + 1/12*g**2. Let r(z) = 0. What is z?
-2, -1, 1
Let b(c) be the first derivative of 1/8*c**2 + 3/16*c**4 - 1/4*c**3 - 1/20*c**5 - 3 + 0*c. What is f in b(f) = 0?
0, 1
Let w = 68 + 47. Suppose w = 5*c + s - 93, -196 = -5*c + 3*s. Solve 96*o + 175*o**2 + 216*o**3 + 42*o**4 + 16 + c*o**2 - 7*o**4 + 46*o**4 = 0 for o.
-2/3
Let u = 5 - 5. Let b = 200 + -197. Factor -2/3*d**4 + u - 4/3*d + 4/3*d**b + 2/3*d**2.
-2*d*(d - 2)*(d - 1)*(d + 1)/3
Let b = -26 - -26. Let d(v) be the second derivative of b - 2*v + 1/27*v**3 - 1/54*v**4 + 2/9*v**2. Factor d(r).
-2*(r - 2)*(r + 1)/9
Let p(r) be the first derivative of -r**8/1120 + r**7/840 + r**6/720 + r**3 - 2. Let h(t) be the third derivative of p(t). Factor h(f).
-f**2*(f - 1)*(3*f + 1)/2
Let b(k) be the first derivative of -k**3/3 + 2*k**2 - 4*k + 5. What is o in b(o) = 0?
2
Let r(t) be the third derivative of 0*t**4 + 2*t**2 + 0 + 3/70*t**7 + 1/20*t**6 + 0*t**5 + 0*t**3 + 0*t. Find v such that r(v) = 0.
-2/3, 0
Let v(j) be the third derivative of j**7/1470 + j**6/168 + 2*j**5/105 + j**4/42 - 57*j**2. Find r such that v(r) = 0.
-2, -1, 0
Let p(s) = -4*s**2 - 6*s - 7. Let o be p(-3). Let i = 34 + o. Suppose 3/2*t**2 + 27/2 + i*t = 0. What is t?
-3
Solve 1/5*j - j**5 + 2/5 + 8/5*j**4 - 2*j**2 + 4/5*j**3 = 0 for j.
-1, -2/5, 1
Let f = 20/7 + -18/7. Factor 2/7*w**2 + 0*w - f.
2*(w - 1)*(w + 1)/7
Let c(d) = -3*d**2 - 2*d + 1. Let l(j) = 0*j**2 + 16*j**2 + 7*j + 4*j - 4 - 1. Let x(r) = -11*c(r) - 2*l(r). Factor x(p).
(p - 1)*(p + 1)
Let n(u) be the first derivative of -3*u**5/10 + 29*u**4/8 - 7*u**3 + 4*u**2 + 56. Factor n(l).
-l*(l - 8)*(l - 1)*(3*l - 2)/2
Let g(d) = -d**3 - 6*d**2 + 4*d - 8. Let u be g(6). Let a = u + 2920/7. Factor -a + 8/7*p - 2/7*p**2.
-2*(p - 2)**2/7
Let f(g) be the first derivative of -2*g**3/21 - 4*g**2/7 + 16. Factor f(y).
-2*y*(y + 4)/7
Find v such that -8/7*v + 2/7*v**5 + 0 + 6/7*v**3 + 8/7*v**4 - 8/7*v**2 = 0.
-2, -1, 0, 1
Solve 75/7 + 138/7*z**2 + 3/7*z**4 - 180/7*z - 36/7*z**3 = 0.
1, 5
Let r(t) = 13*t**2 - 24*t + 45. Let y(i) = 3*i**2 - 6*i + 11. Let v(k) = -2*r(k) + 9*y(k). Factor v(u).
(u - 3)**2
Let s = 192/5 - 38. Let 0 + 7/5*w**2 - s*w = 0. What is w?
0, 2/7
Let m = -13/10 - -7/5. Let q(p) be the second derivative of 0 + m*p**5 - p**2 + 1/6*p**4 + 2*p - 1/3*p**3. Solve q(t) = 0 for t.
-1, 1
Let x be (-5)/(-2) + (1 - (-12)/(-8)). What is y in 2/3 + 1/6*y**x - 2/3*y = 0?
2
Let q(k) = -k**3 + 4*k**2 - 3*k + 3. Let m be q(3). Suppose -3*j + 15 = 2*j. Determine s, given that 4*s**2 + s - m*s + 2*s**3 - 4*s**j = 0.
0, 1
Let q = 555/3692 + 1/284. Let -16/13*j + q + 32/13*j**2 = 0. Calculate j.
1/4
Let g = 92/105 + -8/105. Factor -13/5*n**3 + 0 - 2/5*n + g*n**4 + 11/5*n**2.
n*(n - 2)*(n - 1)*(4*n - 1)/5
Let l(u) = u**3 - u**2 - 4*u - 1. Let z be l(3). Let b(r) = r - 3. Let i be b(z). Find m such that -84*m**2 + 0*m**i + 130*m**3 + 17*m**3 + 12*m = 0.
0, 2/7
Let x be ((-4)/15)/(-3 - (-28)/12). Factor 2/5*q + 0 - x*q**2.
-2*q*(q - 1)/5
Let u(i) be the third derivative of i**6/420 - 2*i**5/105 - i**4/28 + 6*i**3/7 - 28*i**2. Suppose u(x) = 0. Calculate x.
-2, 3
Determine w so that 1/5*w**3 + 0*w - 1/5*w**2 + 0 = 0.
0, 1
Let d be 1/578*52/(-13). Let a = 2597/578 - d. Factor a + 3*x + 1/2*x**2.
(x + 3)**2/2
Let i(p) be the first derivative of 0*p**5 + 1/180*p**6 + 3 + 0*p**3 - 1/36*p**4 - p**2 + 0*p. Let k(z) be the second derivative of i(z). Factor k(n).
2*n*(n - 1)*(n + 1)/3
Let n(b) be the second derivative of -b**5/30 - b**4/9 - b**3/9 + 3*b. Factor n(p).
-2*p*(p + 1)**2/3
Let h = -14806 - -103911/7. Let v = -37 + h. Factor -v*s + 2*s**2 - 4/7.
2*(s - 1)*(7*s + 2)/7
Determine z so that 0 - 1/3*z**5 + 0*z + 0*z**2 - 1/3*z**4 + 0*z**3 = 0.
-1, 0
Suppose 2*q = -3*u - 20, 4*q = 3*q - 4. Let g = u + 6. Factor -d - 1 + 0*d**g + d**3 + 0*d + d**2.
(d - 1)*(d + 1)**2
Suppose t + 10 = 2*t. What is q in 10 - 3*q + 2*q + q**2 - t = 0?
0, 1
Suppose -2*j = 2*j - 36. Let a be ((-4)/(-3))/(6/j). Factor -1 + 0*h**5 - h**4 + 2*h**2 - a*h**3 + h**5 - 4*h + 5*h.
(h - 1)**3*(h + 1)**2
Let b(f) be the first derivative of 1/8*f**2 + 4 + 0*f - 1/12*f**3. Factor b(u).
-u*(u - 1)/4
Let z(x) = x**2 - x + 4. Let g be z(0). Suppose 23*v**g - 5*v**3 + 26*v**4 - 55*v**4 + 3*v**3 = 0. Calculate v.
-1/3, 0
Let z(c) = -c**3 + 10*c**2 + c - 8. Let p be z(10). Let r be 7/9 + (-2)/(-9). Factor r + 1 - 2*o**p + 0*o**2.
-2*(o - 1)*(o + 1)
Let j be 7/3 - (-8)/12. Factor 4 + 8*r**2 - r + 2*r**3 + 0*r**j + 11*r.
2*(r + 1)**2*(r + 2)
Let s(n) = -n**3 - 3*n**2 - 2*n - 4. Let u be s(-3). Let p be ((-1)/(-6))/(9/135) + -2. Factor 0 + 0*c + p*c**u.
c**2/2
Let d(w) = -2. Let v(s) = -s. Let l(m) = d(m) + v(m). Let h be l(-6). Factor -10*n**3 - 5*n - 1 - 17*n**2 + 7*n**2 - 6*n**h - n**5 + n**4.
-(n + 1)**5
Let x(g) = g**3 + g + 0*g - g**2 - 2*g**3 + 1 + 0*g**3. Let a be x(-2). Find y, given that 1/2*y**5 - 1/4*y**4 + 1/4*y**2 - 1/2*y**a + 0*y + 0 = 0.
-1, 0, 1/2, 1
Let w(h) be the third derivative of h**6/120 - h**4/24 + 5*h**2. Solve w(q) = 0.
-1, 0, 1
Let o(z) be the first derivative of z**3 - 3*z**2/2 - 6. Factor o(h).
3*h*(h - 1)
Let c(u) = u + 1. Let i = 3 + -2. Let y be c(i). Suppose 3 - l**2 + 3*l**2 - y*l - 7 = 0. Calculate l.
-1, 2
Determine s so that 6*s**4 + 0 + 3/2*s - 6*s**2 - 3/2*s**3 = 0.
-1, 0, 1/4, 1
Factor 15*j + j**2 - 10*j**2 + 4*j**2.
-5*j*(j - 3)
Let b(g) be the third derivative of -5*g**8/672 + 13*g**7/420 + g**6/40 + 6*g**2. Factor b(r).
-r**3*(r - 3)*(5*r + 2)/2
Let p**3 - p**2 - 1915*p + 1915*p = 0. Calculate p.
0, 1
Let m(o) = -o**2 - 10*o - 3. Let z be m(-9). Let i = z - 4. Factor 2*l - 2*l + 2*l - l**2 + i*l**2.
l*(l + 2)
Suppose -5*d + 16 = -2*r, -3*d + 20 = 5*r - r. Let x(f) be the second derivative of 3*f + 1/3*f**3 + 0*f**2 + 3/10*f**5 - 1/2*f**d + 0 - 1/15*f**6. Factor x(y).
-2*y*(y - 1)**3
Let n = 1/15 + 23/105. Find q, given that -4/7*q**3 + 0 + 0*q**2 + 2/7*q + 0*q**4 + n*q**5 = 0.
-1, 0, 1
Suppose -9 = -2*i - 3*w - 2*w, -4*w = i - 6. Let y(j) be the first derivative of 1/3*j**i - 1/15*j**5 + 1/4*j**4 + 0*j - 4 + 5/9*j**3 - 1/18*j**6. Factor y(a).
-a*(a - 2)*(a + 1)**3/3
Let q(b) be the first derivative of 21*b**4/34 - 88*b**3/51 + 25*b**2/17 - 4*b/17 - 10. Let q(v) = 0. Calculate v.
2/21, 1
Let f be (0 + 1)/((-5)/(-30)). Suppose 0*y + 3*y - f = 0. Factor 2/5 - 2/5*x**y + 2/5*x**3 - 2/5*x.
2*(x - 1)**2*(x + 1)/5
Let x = -167 + 170. Let 0 + 1/4*a**2 + 0*a - 1/4*a**x = 0. Calculate a.
0, 1
Factor -2/7 - 6/7*q**2 + 2/7*q**3 + 6/7*q.
2*(q - 1)**3/7
Let t(m) be the second derivative of 1/18*m**4 + 0*m**3 - 1/45*m**6 + 1/63*m**7 + 0 + 0*m**2 - 1/30*m**5 - m. Suppose t(y) = 0. Calculate y.
-1, 0, 1
Let f(k) be the third derivative of k**7/490 + k**6/56 + 3*k**5/140 - 5*k**4/56 - 2*k**3/7 - 23*k**2 + 1. Solve f(h) = 0.
-4, -1, 1
Let z = 0 + 2. Factor 3*r**2 + 7*r**3 + r**z + 2*r**4 - r**3.
2*r**2*(r + 1)*(r + 2)
Let a(n) be the third derivative of -1/36*n**4 - 5*n**2 + 0*n + 0 + 0*n**3 - 1/180*n**5 - 1/1008*n**8 + 1/630*n**7 + 1/120*n**6. Let a(p) = 0. Calculate p.
-1, 0, 1, 2
Let m(w) be the second derivative of w**6/240 + w**5/20 + w**4/4 + 3*w**3/2 - 6*w. Let j(t) be the second derivative of m(t). Factor j(a).
3*(a + 2)**2/2
Suppose 0 = 46*k - 44*k - 6. Factor 1/2*d**4 + k*d**3 + 13/2*d**2 + 6*d + 2.
(d + 1)**2*(d + 2)**2/2
Solve -7*u**4 + 28*u**3 + 8*u**2 - 4*u + 7*u**4 + 16*u**4 = 0 for u.
-1, 0, 1/4
Suppose -j + 8 = 3*t - t, 4*j - 17 = -5*t. Factor 6*r**2 - 6*r**3 - 27*r + t*r**3 + 3*r**2 + 27.
-(r - 3)**3
Suppose 8*m**2 + 49/3*m**3 + 13*m**4 + 4/3*m + 10/3*m**5 + 0 = 0. What is m?
-2, -1, -1/2, -2/5, 0
Let l be -2*(-3)/(-66)*-5717. Let k = l - 519. Suppose k - 24/11*c - 14/11*c**2 = 0. Calculate c.
-2, 2/7
Let n(k) be the first derivative of -3*k**6 - 2 - 6*k**5 + 10*k**3 - 8*k + 0*k**2 + 5/2*k**4. Solve n(a) = 0.
-1, 2/3
Suppose 0*y + 2/5*y**3 - 6/5*y**2 + 0 = 0. What is y?
0, 3
Suppose -2*q = -k + 5*k, -k + q + 6 = 0. Factor -k - 3 + 4 + 2*z + 3*z**2.
(z + 1)*(3*z - 1)
Let w(j) = -8*j**5 + 18*j**4 - 12*j**3 - 2*j**2 + 4*j + 2. Let x(n) = -n**5 + n**4 - n**2 + n + 1. Let u(b) = -w(b) + 2*x(b). Factor u(a).
2*a*(a - 1)**3*(3*a + 1)
Let v(p) be the third derivative of p**8/20160 - p**7/1260 + p**6/180 + p**5/30 + 2*p**2. Let z(w) be the third derivative of v(w). Factor z(f