 g(y) = 0.
0, 1/4, 1
Let 4/3*d**2 - 2/9*d**3 + 16/9 - 8/3*d = 0. What is d?
2
Let o be (-6)/12*(-44)/99. Let -o*c - 2/9*c**2 + 0 = 0. What is c?
-1, 0
Let m(s) = -s**3 + 2*s**2 + 5*s - 3. Suppose 5*y = -2*j + 16, -3*j + 7 = -y - 0. Let x be m(j). Factor 4*a**4 - 8*a + 6*a**2 - 18*a**2 - 8*a**x - 6*a**4 - 2.
-2*(a + 1)**4
Let l = -7 - -7. Let c(v) be the second derivative of -v - 1/27*v**3 - 1/54*v**4 + 0 + l*v**2. Solve c(g) = 0 for g.
-1, 0
Let x(g) be the third derivative of g**6/80 + 3*g**5/40 + 3*g**4/16 + g**3/4 - 8*g**2. Factor x(i).
3*(i + 1)**3/2
Let b(c) be the third derivative of -2/15*c**5 + 3/35*c**6 + 0*c + 2*c**2 + 0 + 1/84*c**4 + 2/21*c**3. Factor b(r).
2*(2*r - 1)**2*(9*r + 2)/7
Suppose -2*c - 2*c = -64. Let h(s) = -10*s**2 - 36*s - 10. Let m(n) = 2*n**2 + 7*n + 2. Let w(i) = c*m(i) + 3*h(i). Factor w(f).
2*(f + 1)**2
Let s = 5 - 5. Let x(p) be the second derivative of 3/16*p**4 - 1/12*p**3 - p + 0 + s*p**2 - 7/80*p**5. Factor x(q).
-q*(q - 1)*(7*q - 2)/4
Let o(r) = -r**2 - 8*r - 9. Let c be o(-6). Factor 5*f - 4*f**2 + f**4 + f**2 + 2 - 5*f**c - 4*f**4 + 4*f**2.
-(f - 1)*(f + 1)**2*(3*f + 2)
Let h(i) be the second derivative of i**5/90 + i**4/54 - 4*i**3/27 - 4*i**2/9 + 6*i. Suppose h(t) = 0. Calculate t.
-2, -1, 2
Suppose -3*l + 16 + 3*l**2 - 7 - 4*l - 5*l = 0. What is l?
1, 3
Let w be 1/1 - 6*(-1)/(-6). Factor -1/2*t**5 + 0 + w*t**2 + 1/2*t**4 + 0*t**3 + 0*t.
-t**4*(t - 1)/2
Let i be 4/22 - (-560)/308. Let -14*q**4 + 0*q + 16*q**3 - 98/3*q**5 + 0 - 8/3*q**i = 0. What is q?
-1, 0, 2/7
Let z(x) be the first derivative of -7*x**4/2 - 20*x**3 - 36*x**2 - 16*x - 2. Factor z(q).
-2*(q + 2)**2*(7*q + 2)
Suppose 0*y = 3*p - 2*y - 16, -3*y - 25 = -5*p. Find c, given that -14*c + 7*c**2 - 5*c**4 + 16*c - 2*c**3 - 2*c**p = 0.
-1, -2/5, 0, 1
Let s(m) be the first derivative of -m**6/27 + m**4/9 - m**2/9 + 11. Let s(x) = 0. What is x?
-1, 0, 1
Let k(q) = -q. Let x be k(-2). Factor -8/5*f**2 - 2/5*f**3 - 4/5 - x*f.
-2*(f + 1)**2*(f + 2)/5
Solve -4/7 - 6/7*l + 4/7*l**2 - 2/7*l**5 + 0*l**4 + 8/7*l**3 = 0 for l.
-1, 1, 2
Suppose 8 = 2*p + 4*k - 2, 4*k = 4. Let l(o) be the first derivative of 4 + p*o + 9/4*o**2 + 1/2*o**3. Determine q, given that l(q) = 0.
-2, -1
Let s(i) be the second derivative of i**6/6 - i**5/6 - 5*i**4/12 + 5*i**3/9 - 3*i. Find t such that s(t) = 0.
-1, 0, 2/3, 1
Factor 4/15*h**2 + 0*h + 2/15*h**3 + 0.
2*h**2*(h + 2)/15
Let t(w) be the third derivative of 0 + 0*w + 0*w**3 - 1/72*w**4 - 1/180*w**5 - 5*w**2. Factor t(b).
-b*(b + 1)/3
Let f(w) be the first derivative of -2*w**3/3 - 5*w**2 - 8*w - 10. Factor f(b).
-2*(b + 1)*(b + 4)
Let f(m) be the second derivative of 13/30*m**6 + 0*m**2 - 4*m + 19/20*m**5 + 0 + 1/3*m**3 + 1/14*m**7 + 11/12*m**4. Suppose f(x) = 0. Calculate x.
-2, -1, -1/3, 0
Let u = 3 - -3. Let m be (1 + 2)/(7 - u). Factor -t**m + 4 + t + 2*t - 6.
-(t - 1)**2*(t + 2)
Let b(a) = a**3 + 15*a**2 - 9*a + 11. Let n(j) = 15*j**2 - 10*j + 10. Let u(l) = -5*b(l) + 6*n(l). Factor u(q).
-5*(q - 1)**3
Let r(f) be the first derivative of -2/9*f**3 - 1/4*f**4 + 0*f - 1/36*f**6 + 2 - 1/12*f**2 - 2/15*f**5. Factor r(b).
-b*(b + 1)**4/6
Let h = -24 - -24. Suppose h = 5*x + 4*i - 18, 3*x - i - 12 = -4*i. Find k such that 0 + 2/7*k**x + 2/7*k**3 - 2/7*k**4 - 2/7*k**5 + 0*k = 0.
-1, 0, 1
Find l such that l**3 - 9*l**3 - 6*l + 3*l**3 - 10*l**2 + l = 0.
-1, 0
Let f(c) be the first derivative of -9 - 2/5*c - 3/5*c**2 - 2/5*c**3 - 1/10*c**4. Find d such that f(d) = 0.
-1
Let a = 24 - 16. Let n be (-2)/a - 14/(-56). Suppose n*d + 0 - 2/5*d**2 = 0. Calculate d.
0
Let k(z) be the second derivative of z**4/3 - 4*z**3/3 + 2*z**2 + 8*z. What is l in k(l) = 0?
1
Let s(u) = u**3 - 19*u**2 - 19*u - 17. Let b be s(20). Factor 0 - 2/7*f**2 + 2/7*f**b - 2/7*f + 2/7*f**4.
2*f*(f - 1)*(f + 1)**2/7
Suppose p + 6*p - 14 = 0. Suppose 0 + 4/7*m + 10/7*m**3 - 2*m**p = 0. What is m?
0, 2/5, 1
Let y(p) = p**3 - p**2 + 1. Let n(s) = 4*s**4 - 10*s**3 - 2*s**2 + 8*s - 2. Let a(t) = n(t) + 2*y(t). Find d, given that a(d) = 0.
-1, 0, 1, 2
Factor 1/2*g**2 + 0 - g.
g*(g - 2)/2
Let r = -104 - -106. Let y(n) be the first derivative of 9/2*n**r + 3/4*n**4 - 2 - 3*n**3 - 3*n. Let y(p) = 0. What is p?
1
Let u(l) = l**3 + l**2. Suppose 0 = -w - 3*w + 12. Let m(h) = 0*h**2 - h**2 - h**3 + h**3 - h**3. Let o(x) = w*m(x) + 2*u(x). What is d in o(d) = 0?
-1, 0
Let u(s) be the second derivative of 1/300*s**5 - s + 1/40*s**4 + 0 + s**2 + 1/15*s**3. Let n(p) be the first derivative of u(p). Find h such that n(h) = 0.
-2, -1
Let i(w) be the first derivative of 0*w**3 + 0*w + 1 + 0*w**5 + 0*w**4 + 0*w**2 - 1/33*w**6. Factor i(b).
-2*b**5/11
Let p(b) = b**3 - b + 1. Let m(r) = -4*r**3 + r**2 + 5*r - 5. Let t(v) = m(v) + 5*p(v). Factor t(d).
d**2*(d + 1)
Suppose -39*h + 91 - 13 = 0. Factor -2/13*y**h + 2/13*y + 4/13.
-2*(y - 2)*(y + 1)/13
Suppose -6*c = 5*c + 2*c. Let h = -5/48 + 143/144. Determine o, given that h*o**5 + 4/9*o**3 + 0 + 14/9*o**4 - 2/9*o**2 + c*o = 0.
-1, 0, 1/4
Let c be (-12 + 2)/(-4 + 0). Let b(k) be the first derivative of -c*k**4 + 0*k + 2*k**2 - 1 - 2*k**3. Find g, given that b(g) = 0.
-1, 0, 2/5
Factor 4/5*m**3 - 2/5*m + 3/5*m**4 - 1/5*m**2 + 0.
m*(m + 1)**2*(3*m - 2)/5
Let c(v) be the first derivative of 1/180*v**6 + 0*v**2 + 0*v**4 + 0*v - 1/3*v**3 + 1/60*v**5 + 2. Let t(k) be the third derivative of c(k). Factor t(o).
2*o*(o + 1)
Let s(d) be the third derivative of 7*d**6/300 + d**5/75 - 7*d**4/60 - 2*d**3/15 - 10*d**2. Determine c so that s(c) = 0.
-1, -2/7, 1
Let t(i) be the first derivative of -i + 2 - 2*i**3 - 5/12*i**4 - 2*i**2. Let n(u) be the first derivative of t(u). Solve n(b) = 0 for b.
-2, -2/5
Suppose 5*o = -4*w - 11, 4*w + 2*o + 2 = -0. Suppose 4*g - 7 - w = 0. Factor 0 - 1/2*a + 1/2*a**g.
a*(a - 1)/2
Let m = 189 + -1321/7. Find z, given that m*z**2 + 0 + 2/7*z = 0.
-1, 0
Let k(t) = -3*t**3 + 3*t**2 + 3*t - 1. Let f(h) = 1 - 4*h**2 + 2 - 2 + 3*h**3 - 3*h. Let r be ((-9)/(-6))/(2/(-4)). Let n(v) = r*k(v) - 2*f(v). Factor n(y).
(y - 1)*(y + 1)*(3*y - 1)
Let j be (5 - 3)/(6/8). Suppose 0*g + 0 + 2/3*g**5 - 4/3*g**2 - j*g**4 + 10/3*g**3 = 0. Calculate g.
0, 1, 2
Suppose 3*g + 15 = 0, 5*j - 4*g = -11 - 19. Let q be (-4)/2 + (-38)/j. Factor 3/5 - 3/5*h**2 + 9/5*h**3 - q*h.
3*(h - 1)*(h + 1)*(3*h - 1)/5
Suppose 6*r = r + 100. Let o be (56/(-98))/(r/(-14)). Factor -2/5*y**2 + 0 - o*y**3 + 0*y.
-2*y**2*(y + 1)/5
Let x(v) be the third derivative of -1/24*v**4 + 0 + 0*v - 3/560*v**7 - 7/120*v**5 + 0*v**3 - 1/32*v**6 + 7*v**2. Factor x(f).
-f*(f + 2)*(3*f + 2)**2/8
Let k(s) be the first derivative of -s**5/5 - 32. Factor k(d).
-d**4
Let a(z) be the third derivative of -z**7/1680 + z**3/2 + 3*z**2. Let g(n) be the first derivative of a(n). Find q such that g(q) = 0.
0
Suppose 0*r + r = 5. Let n(a) be the third derivative of 1/270*a**r + 0 - 1/27*a**4 + 0*a - 2*a**2 + 4/27*a**3. Determine m so that n(m) = 0.
2
Let t(j) be the second derivative of j**9/6048 + j**8/1680 + j**7/1680 - 5*j**3/6 + 4*j. Let x(w) be the second derivative of t(w). Factor x(r).
r**3*(r + 1)**2/2
Let t(o) be the third derivative of 0*o**4 - 1/360*o**6 + 0 + 0*o - 3*o**2 - 1/90*o**5 + 0*o**3. Factor t(m).
-m**2*(m + 2)/3
Let w(o) be the second derivative of -2*o**7/21 - 4*o**6/15 + 3*o**5/5 + 4*o**4/3 - 8*o**3/3 + 16*o. Find i such that w(i) = 0.
-2, 0, 1
Let x(r) = r**3 - 4*r**2 + 3*r + 3. Let v be x(4). Suppose -4*h - 5 + v = 5*k, -5*h + 4 = 2*k. Find a, given that 2 - k + 2 - 2*a**2 = 0.
-1, 1
Let w(k) be the first derivative of -3/2*k**2 - 2*k**3 + 0*k + 2. Determine n so that w(n) = 0.
-1/2, 0
Let r(g) be the second derivative of 0 - g + 0*g**3 + 1/300*g**5 + 1/120*g**4 - 1/2*g**2. Let i(a) be the first derivative of r(a). Factor i(j).
j*(j + 1)/5
Factor -s - 2*s + 0*s**4 + 18*s**2 - s - 24*s**3 + 10*s**4.
2*s*(s - 1)**2*(5*s - 2)
Let o = -7649/11286 + -14/1881. Let n = -1/54 - o. Factor -2/3*k**3 + 0*k + 0 + 0*k**2 - n*k**5 + 4/3*k**4.
-2*k**3*(k - 1)**2/3
Let s(t) = 6*t - 110. Let g be s(19). Factor 4/5*y**3 - 2/5 + 2/5*y**g + 0*y**2 - 4/5*y.
2*(y - 1)*(y + 1)**3/5
Let n(z) = 3*z - 1. Let a be n(-1). Let w = -2 - a. Determine s so that w*s**2 - 4*s - 2*s**4 - s**3 - 3*s**3 - 8*s**2 - 1 + s**4 = 0.
-1
Let a be (0*(-3)/9)/(-3 + -1). Factor 2/5*r + 2/5*r**2 + a.
2*r*(