0 + z**3 = 0.
-2, 0
Suppose -4*u = 4*p, 5*p + 2*u = -0*u + 12. Determine d, given that -24/11*d - 12/11*d**3 - 2/11*d**p - 26/11*d**2 - 8/11 = 0.
-2, -1
Suppose 6*t - 38 = -2*l + 2*t, 5*t + 5 = 0. Let x = l - 62/3. Factor x*g**4 - 1/3*g**2 + 1/3*g**3 - 1/3*g + 0.
g*(g - 1)*(g + 1)**2/3
Suppose -2 - 5 + m**2 + 19 - 4*m**2 = 0. What is m?
-2, 2
Let a(i) be the second derivative of -i**7/147 + i**6/35 + 8*i. Determine v, given that a(v) = 0.
0, 3
Let a(t) be the third derivative of -1/10*t**5 + 2*t**2 + 0*t**3 + 0 + 0*t - 1/40*t**6 - 1/8*t**4. Determine d so that a(d) = 0.
-1, 0
Factor -3 + 12 + 8*k**3 - 9 - 2*k**4 - 8*k + 2*k**2.
-2*k*(k - 4)*(k - 1)*(k + 1)
Suppose 3*v - 2*b = b - 12, -v + 1 = -2*b. Let i(k) = k**3 + 8*k**2 - 10*k - 7. Let g be i(v). Let 0 + 0*l**g + 1/4*l - 1/4*l**3 = 0. What is l?
-1, 0, 1
Let l(g) = -g**3 - 6*g**2 + 7*g + 2. Let y be l(-7). Factor 2*q + 3*q**y - 3*q + 3*q + 6*q**3 + 3*q**2 + 2*q**4.
2*q*(q + 1)**3
Suppose -5*g = -2*s - 18, 0*s + 14 = -g - 4*s. Let c(j) be the first derivative of 2/5*j + 2/15*j**3 + 1 + 2/5*j**g. Find r, given that c(r) = 0.
-1
Let r(m) be the first derivative of m**5/10 - 3*m**4/8 + m**3/2 - m**2/4 - 5. Factor r(w).
w*(w - 1)**3/2
Let v be 3/7 + 0 - 450/(-420). What is k in 3/4*k**2 - v*k + 0 = 0?
0, 2
Suppose 4*z + 26 + 2 = -5*b, -3*z - 5*b = 16. Let x be 3 - (-3)/z - 2. Factor x*s - 1/4*s**2 - 1/2.
-(s - 2)*(s - 1)/4
Let k(p) = 120*p**3 - 309*p**2 + 84*p - 27. Let n(i) = 39*i**2 + 4 - 17*i**3 - 5*i**2 + 10*i**2 - 12*i. Let u(o) = -4*k(o) - 27*n(o). Let u(l) = 0. Calculate l.
0, 2/7, 2
Let i(a) be the second derivative of -a**5/20 - a**4/4 - a**2 + 2*a. Let w(s) be the first derivative of i(s). Let w(u) = 0. What is u?
-2, 0
Find w such that -4/7 + 1/7*w**4 - 1/7*w**3 - 11/7*w - 9/7*w**2 = 0.
-1, 4
Let s(u) be the third derivative of 3*u**7/35 - u**6/10 + u**5/30 + u**2. Factor s(w).
2*w**2*(3*w - 1)**2
Factor -2*l**3 - 32*l + 4*l**3 - 21*l**3 - 48*l**2 - 5*l**3 - 4*l**4.
-4*l*(l + 2)**3
Let p = -112 + 220. Suppose -14 = -x - z + 40, -2*x + 5*z + p = 0. Let -1/2 + 6*l - 27*l**2 - 81/2*l**4 + x*l**3 = 0. What is l?
1/3
Let w(p) = p**2 - 8*p - 9. Let a be w(9). Let r be 0 + 1 - (0 - a). Factor -f + 5*f - r - 2*f**2 - 2*f**2.
-(2*f - 1)**2
Let d(c) = 2*c**2 - 3*c - 9. Let z be d(3). Let z*y + 0 + 9/4*y**3 - 3/4*y**2 + 3*y**4 = 0. Calculate y.
-1, 0, 1/4
Factor -3/2*u**3 + 0*u**2 + 0*u + 0.
-3*u**3/2
Factor 0 + 0*q - 4*q**3 - 4/3*q**5 + 4*q**4 + 4/3*q**2.
-4*q**2*(q - 1)**3/3
Let t(h) = h**3 - 6*h**2 - 7*h + 2. Let d be t(7). Let v(q) = q. Let p be v(d). Solve -3*n**p + 2*n**3 - 2*n**4 + 3*n**2 = 0.
0, 1
Let s(q) be the second derivative of -q**4/16 - 7*q. Factor s(f).
-3*f**2/4
Solve 3*k - 3*k**3 - 4 + 6 - 2 = 0.
-1, 0, 1
Let v be 4*(14/(-21))/(40/(-6)). Factor -1/5*p**2 + v*p - 1/5.
-(p - 1)**2/5
Suppose q = -2*q + 24. Let m(c) be the third derivative of 0*c - 1/60*c**5 + 1/120*c**6 + 0*c**3 + 0 + 1/210*c**7 + 0*c**4 + 3*c**2 - 1/336*c**q. Factor m(b).
-b**2*(b - 1)**2*(b + 1)
Solve -1/4*n**3 - 29/4*n**2 - 49 - 56*n = 0.
-14, -1
Let q(w) be the second derivative of w**4/30 - w**3/15 + 15*w. Find a, given that q(a) = 0.
0, 1
Find f such that 3/4*f**2 + 3/4*f**5 + 0*f - 3/4*f**4 + 0 - 3/4*f**3 = 0.
-1, 0, 1
Let z(a) be the second derivative of a**7/10 + 37*a**6/50 - 24*a**5/25 - 3*a**4/5 - 55*a. Solve z(x) = 0.
-6, -2/7, 0, 1
Let a be (4/7)/(4/14). Suppose -2*q + q = -a. Solve 1/2*t**3 + 0*t + 0 + 1/2*t**q = 0.
-1, 0
Let v(n) = 2*n + 12. Let t be v(-6). Suppose 0*l**2 - 1/4*l**4 + 0*l**3 + t + 0*l = 0. What is l?
0
Find j such that 11*j + 5*j**5 - 30*j**3 + 49*j + 51*j - 6*j - 15*j**4 + 45 + 50*j**2 = 0.
-1, 3
Let n = -1069/7 - -153. Let 2/7*v**2 + 0 - n*v = 0. What is v?
0, 1
Let s(o) be the first derivative of 16*o**5/5 - 4*o**4 - 28*o**3/3 - 4*o**2 - 12. Factor s(m).
4*m*(m - 2)*(2*m + 1)**2
Let o(c) be the third derivative of -c**6/360 - c**5/120 + c**4/12 + c**3/6 + 2*c**2. Let k(q) be the first derivative of o(q). Factor k(n).
-(n - 1)*(n + 2)
Suppose 5*i + 11 = 5*l - 4, 2*l + 4*i = 0. Solve -2*p**3 + 3*p**l + 1/2 - 2*p + 1/2*p**4 = 0.
1
Suppose -3 + 1 = -2*g. Let u be 72*g/((-8)/(-6)). Find h such that 6*h**3 + 81/2 + 1/2*h**4 + u*h + 27*h**2 = 0.
-3
Let y be 2/(-3) - 20/(-21). Suppose 2*q = 3*q. Factor q - y*i**2 - 2/7*i.
-2*i*(i + 1)/7
Let z = 33 - 30. Factor -2/5*c**z + 2/5*c - 2/5 + 2/5*c**2.
-2*(c - 1)**2*(c + 1)/5
Factor -12/7*x**2 + 12/7*x + 3/7*x**3 + 0.
3*x*(x - 2)**2/7
Let m be (1 - 2)*-1*-10. Let b be (-3)/((-30)/(-4))*m. Let -1 - 3*t + b*t + t - t**2 = 0. What is t?
1
Let w = 83 - 184/3. Let y = w + -21. Factor 2/3*n + 4/3 - y*n**2.
-2*(n - 2)*(n + 1)/3
Let w(y) = y**3 - 5*y**2 + 2. Suppose 0*x = 4*x - 20. Let k be w(x). Factor 0*a - 6*a**4 + 2*a - 4*a + 6*a**2 + k*a**3.
-2*a*(a - 1)*(a + 1)*(3*a - 1)
Let o(j) = j**3 - j**2 + j. Let c(i) = -2*i**4 + 2*i**3 - 16*i**2 + 18*i + 8. Let f(v) = c(v) - 10*o(v). Factor f(x).
-2*(x - 1)*(x + 1)*(x + 2)**2
Suppose 3 - 13 = -5*w. Solve 2*l**w - 1 - 2*l - 2*l**2 - l**2 = 0 for l.
-1
Let m(i) be the second derivative of -i**5/60 + i**4/36 + i. Find t, given that m(t) = 0.
0, 1
Let a(d) be the third derivative of -d**6/1260 + d**4/84 - d**3/3 - 4*d**2. Let k(v) be the first derivative of a(v). Factor k(g).
-2*(g - 1)*(g + 1)/7
Factor 10*f - f**4 - 2 - 8*f - 9*f**2 - 5*f**3 - 9*f.
-(f + 1)**3*(f + 2)
Let l(o) be the first derivative of -4/7*o**2 + 2/7*o**3 + 8 + 2/7*o**4 + 2/35*o**5 - 8/7*o. Let l(m) = 0. What is m?
-2, -1, 1
Let r = -66 + 69. Let l(i) be the first derivative of 0*i**r - 2*i + 1/4*i**4 - 3 - 3/2*i**2. Factor l(f).
(f - 2)*(f + 1)**2
Let z(j) be the third derivative of -j**7/280 + 3*j**6/80 - j**5/16 + 28*j**2. Factor z(w).
-3*w**2*(w - 5)*(w - 1)/4
Find n such that -4*n + 4*n**3 - 119*n**2 + 4 - 129*n**2 + 244*n**2 = 0.
-1, 1
Suppose 2/7 - 33/7*l**3 - 19/7*l + 50/7*l**2 = 0. Calculate l.
2/11, 1/3, 1
Let f be 8*((-3)/2 - -2). Let a(h) be the first derivative of -f + 0*h**3 + 1/7*h**2 + 0*h - 1/14*h**4. Factor a(y).
-2*y*(y - 1)*(y + 1)/7
Let 21*f - 12*f**4 - 45*f**2 - 2*f**3 + 1 - 4 + 41*f**3 = 0. Calculate f.
1/4, 1
Let w = 29 - 27. Let p(q) be the second derivative of 0*q**2 - 1/100*q**5 + 1/30*q**3 + 0 + w*q + 1/150*q**6 - 1/60*q**4. Let p(s) = 0. What is s?
-1, 0, 1
Let b(x) be the third derivative of -1/24*x**4 + 0 + 0*x**3 + 0*x + 1/60*x**5 - 1/210*x**7 + 1/120*x**6 + 2*x**2. Factor b(m).
-m*(m - 1)**2*(m + 1)
Let v be 16/120 - (-1165)/75. Determine z so that 8*z**4 + 97/6*z**3 + v*z**2 + 3/2*z**5 + 4/3 + 22/3*z = 0.
-2, -1, -2/3
Let k = -30 - -35. Let o(n) be the second derivative of 0*n**4 + 0*n**k + 1/45*n**6 + 0*n**2 + 0*n**3 + 0 - 2*n - 1/63*n**7. Factor o(w).
-2*w**4*(w - 1)/3
Let c(h) be the first derivative of -h**4/10 + 2*h**3 - 15*h**2 + 50*h + 39. Factor c(i).
-2*(i - 5)**3/5
Let p(c) be the second derivative of -c**5/20 - c**4/6 - c**3/6 + 22*c. Determine w, given that p(w) = 0.
-1, 0
Let w(x) be the second derivative of x**8/2240 + x**7/420 + x**6/240 + x**4/3 + 3*x. Let t(f) be the third derivative of w(f). Factor t(c).
3*c*(c + 1)**2
Suppose 5*j - 13 = -h, 5*h - 2 = -2*j + 3*h. Factor -w - 1/4*w**4 - 3/2*w**2 - w**j - 1/4.
-(w + 1)**4/4
Let s(o) = -8*o**2 + 2*o + 4. Let z be (-67)/(-13) - 6/39. Let f(k) = 7*k**2 - k - 3. Let c(m) = z*s(m) + 6*f(m). Factor c(l).
2*(l + 1)**2
Let l(u) be the first derivative of 2*u**3/15 + u**2/5 - 4*u/5 + 13. Suppose l(t) = 0. Calculate t.
-2, 1
Suppose 0*w = -2*w + 10, -4*w = 5*r - 20. Factor 2/11*g - 8/11*g**3 + r + 6/11*g**2.
-2*g*(g - 1)*(4*g + 1)/11
Let k(q) be the third derivative of -2*q**7/525 - q**6/300 + q**5/75 + q**4/60 + 9*q**2. Solve k(u) = 0 for u.
-1, -1/2, 0, 1
Let v(t) be the first derivative of t**6/6 - 2*t**5/5 + 2*t**3/3 - t**2/2 - 1. Factor v(b).
b*(b - 1)**3*(b + 1)
Let x(a) be the first derivative of 4 + 0*a**3 + 2*a**2 + 1/40*a**5 - 1/32*a**4 + 0*a. Let g(t) be the second derivative of x(t). Factor g(c).
3*c*(2*c - 1)/4
Let z be -3 + -3 + 7 + 1. Solve -2/3*j**z + 4/3 - 2/3*j = 0.
-2, 1
Let d(g) be the third derivative of 0*g**4 + 0 - 1/30*g**5 + 1/48*g**8 - 3*g**2 + 0*g + 0*g**3 + 2/35*g**7 + 1/40*g**6. Factor d(i).
i**2*(i + 1)**2*(7*i - 2)
Suppose 2*o**5 - 18/7*o**2 - 10/7*o**3 - 4/7*o + 18/7*o**4 + 0 = 0. Calculate o.
-1, -2/7, 0, 1
Facto