z, given that f(z) = 0.
-1, 0, 2
Suppose s - 1 - 3 = 0. Suppose -s*d + 2*n + 4 = -0*n, d + 5*n - 23 = 0. What is r in -3*r**5 + 2*r**2 + 2*r**3 + r + d*r**4 + r**4 - 6*r**2 = 0?
-1, 0, 1/3, 1
Suppose 2*a - 10 = 6*a - 5*f, -a + 2 = f. Suppose -2*i + 8*i = a. Factor 0 - 2/7*o**2 + i*o - 2/7*o**3.
-2*o**2*(o + 1)/7
Let r = 101 + -97. Let u(l) be the first derivative of 0*l + 1/4*l**r - 4 + l**2 - l**3. Factor u(v).
v*(v - 2)*(v - 1)
What is c in -1309*c**4 + 32*c**3 + 2*c**5 + 1333*c**4 + 2*c**5 = 0?
-4, -2, 0
Let r be 2 + 1 + (5 - 6). Let x be 4 + (r - (-6)/(-2)). Let -1/2*b**x + 0 + 0*b**2 + 1/2*b = 0. Calculate b.
-1, 0, 1
Suppose 8*n + 16 = 10*n. Let p be n/6 - (0 + -2). What is l in 14/3*l - 2/3*l**4 - 4/3 - 6*l**2 + p*l**3 = 0?
1, 2
Suppose 2*x = 3 + 7. Let g(s) be the second derivative of -1/25*s**x + 0 + 1/15*s**3 - 1/30*s**4 + 2*s + 0*s**2. Solve g(q) = 0.
-1, 0, 1/2
Factor 1/6*t - 2*t**2 + 3/2*t**3 + 1/3.
(t - 1)*(3*t - 2)*(3*t + 1)/6
Let o be (-31 - 1)/(4/(-12)). Let k be o/30 + (-3)/15. Solve -24/5*m + 8/5 + 24/5*m**k + 2/5*m**2 + 8/5*m**4 = 0.
-2, 1/2
Let z(f) be the third derivative of -f**8/840 + f**7/420 - 5*f**3/6 + f**2. Let r(h) be the first derivative of z(h). Let r(s) = 0. What is s?
0, 1
Let j(s) be the first derivative of -4*s - 28*s**4 - 7 - 38*s**3 - 32/5*s**5 - 19*s**2. Determine x, given that j(x) = 0.
-2, -1, -1/4
Let n(m) be the second derivative of m**6/6 + m**5/4 + 7*m. What is r in n(r) = 0?
-1, 0
Let p(u) = -2*u**3 - 2*u**2 + 8*u - 4*u**2 + 2 + 5*u**2 + 3*u**2. Let d(s) = -2*s**3 + 3*s**2 + 9*s + 1. Let c(k) = 2*d(k) - 3*p(k). Factor c(y).
2*(y - 2)*(y + 1)**2
Let l(h) = 48*h**2 + 44*h - 2. Let g(z) = 49*z**2 + 45*z - 1. Let y(t) = -2*g(t) + 3*l(t). What is r in y(r) = 0?
-1, 2/23
Let a(l) be the first derivative of l**6/15 - l**5/5 - 2*l - 1. Let x(m) be the first derivative of a(m). Factor x(w).
2*w**3*(w - 2)
Let m(c) be the first derivative of c**6/2 + 3*c**5/5 - 3*c**4/4 - c**3 + 11. Find b such that m(b) = 0.
-1, 0, 1
Let n(p) be the third derivative of -p**7/420 - p**6/240 + p**5/40 + 5*p**4/48 + p**3/6 + 8*p**2. Determine r so that n(r) = 0.
-1, 2
Let m = -486 - -24788/51. Let w = 143/255 + m. Factor 0*c - w*c**5 - 3/5*c**2 + 3/5*c**4 + 0 + 3/5*c**3.
-3*c**2*(c - 1)**2*(c + 1)/5
Let n = -16681/18 - -927. Let a(x) be the second derivative of -1/3*x**2 + 0 - n*x**3 - x - 1/18*x**4. Factor a(q).
-(q + 2)*(2*q + 1)/3
Let b = -14 - -71/5. Let h be 0/(4*(-2)/(4/(-1))). Solve d**4 + 0*d - 3/5*d**5 + h - b*d**2 - 1/5*d**3 = 0.
-1/3, 0, 1
Let p = -2 - -5. Suppose p*w = -5*y + 33, -w - y = 4*w - 33. Factor 4*l**2 + 18 - 18 + l + w*l**3 + 4*l**4 + l**5.
l*(l + 1)**4
Let h = 1/31 - -119/155. Let z = 8 - 5. What is d in -2/5*d - h*d**2 + 0 - 2/5*d**z = 0?
-1, 0
Let c(l) be the first derivative of l**6/40 - l**5/20 - 2*l**3 - 6. Let b(z) be the third derivative of c(z). Let b(s) = 0. What is s?
0, 2/3
Suppose 2/17*a**2 + 16/17 - 18/17*a = 0. Calculate a.
1, 8
Factor 4/9 + 4/9*k**2 + 8/9*k**3 + 2/9*k**5 - 10/9*k - 8/9*k**4.
2*(k - 2)*(k - 1)**3*(k + 1)/9
Let i(z) be the first derivative of 0*z**5 + 0*z**3 - 1/15*z**6 - 1/5*z**2 + 2 + 1/5*z**4 + 0*z. Factor i(o).
-2*o*(o - 1)**2*(o + 1)**2/5
Let t(m) be the first derivative of m**8/8400 + m**7/4200 + 4*m**3/3 + 4. Let a(p) be the third derivative of t(p). Factor a(c).
c**3*(c + 1)/5
Let m(z) be the third derivative of -z**7/315 - z**6/180 + z**5/90 + z**4/36 + z**2. Factor m(v).
-2*v*(v - 1)*(v + 1)**2/3
Suppose 0 = -6*c + c - 5*j + 15, -3*j + 9 = -5*c. Let z(t) be the first derivative of -2/3*t**2 + c*t + 1 + 2/9*t**3. Factor z(b).
2*b*(b - 2)/3
Suppose 5*t + 2*b = 12, -2*b = 2*t - 6*b - 24. Factor 2*n**2 + 2 + 0 - 8*n + 2 + t.
2*(n - 2)**2
Let g(d) be the second derivative of d**7/3360 - d**5/480 - d**3/6 - 2*d. Let b(s) be the second derivative of g(s). What is n in b(n) = 0?
-1, 0, 1
Let i(q) be the first derivative of -1014*q**3 - 12*q - 4 + 156*q**2 - 85683/20*q**5 + 6591/2*q**4. Determine v so that i(v) = 0.
2/13
Let q be (-4)/(-6)*(-15)/(-2). Suppose 0 = -0*c - q*c + 10. Let 3*p**c + 4*p - 2*p**2 + 1 - p + p**2 = 0. What is p?
-1, -1/2
Let h(m) be the third derivative of -5*m**8/336 - 2*m**7/21 + 5*m**6/24 - 20*m**2. Factor h(c).
-5*c**3*(c - 1)*(c + 5)
Let r(s) be the first derivative of s**3/9 - s/3 + 71. Determine j so that r(j) = 0.
-1, 1
Let g(q) = q**3 - 4*q**2 + q - 1. Let b be g(4). Factor -b*a**3 + 9 - 4*a + 9*a**2 - 5*a - 6.
-3*(a - 1)**3
Let k(o) = -3*o**4 + 23*o**3 + 12*o**2 + 7. Let l(q) = -2*q**4 + 16*q**3 + 8*q**2 + 5. Let c(w) = 5*k(w) - 7*l(w). Suppose c(y) = 0. Calculate y.
-1, 0, 4
Let g(y) be the second derivative of 2/3*y**4 + 1/3*y**7 - 4/3*y**3 + 27/10*y**5 + 26/15*y**6 - 3*y + 0 + 0*y**2. Suppose g(j) = 0. Calculate j.
-2, -1, 0, 2/7
Determine m, given that 0 + 8/3*m**3 + 4/3*m - 10/3*m**2 - 2/3*m**4 = 0.
0, 1, 2
Let k(w) be the second derivative of 5/12*w**3 + w + 0 + 1/40*w**5 + 1/6*w**4 + 1/2*w**2. Factor k(n).
(n + 1)**2*(n + 2)/2
Let k(c) be the first derivative of -2*c**3 - 2/5*c**5 + 0*c + 3/2*c**4 + 5 + c**2. Factor k(d).
-2*d*(d - 1)**3
Factor 2*v**4 - 120*v + 72 - 4*v**3 - 2*v**3 + 19*v**3 + 7*v**3 + 26*v**2.
2*(v - 1)**2*(v + 6)**2
Let p(q) be the first derivative of -5*q**7/42 + q**6/10 + q**5/10 + 5*q + 3. Let t(m) be the first derivative of p(m). Factor t(v).
-v**3*(v - 1)*(5*v + 2)
Let m(s) = s**2 + 6*s + 6. Let l be m(-6). Let p be 0/(-2*(-3)/l). Determine j, given that 1/2*j**4 + 0 + 1/2*j**3 + p*j**2 + 0*j = 0.
-1, 0
Determine h, given that 0*h + 1/2*h**2 - 1/2*h**3 + 0 = 0.
0, 1
Let v(n) be the third derivative of n**6/360 + 2*n**5/45 + 2*n**4/9 + 17*n**2. Factor v(q).
q*(q + 4)**2/3
Determine l, given that -9/5 + 1/5*l**3 + 3/5*l + l**2 = 0.
-3, 1
Let o = 1504/7 - 214. Let g(b) = b + 7. Let q be g(-7). Factor 0*y**2 + o*y**5 - 2/7*y**3 + q*y + 0 - 4/7*y**4.
2*y**3*(y - 1)*(3*y + 1)/7
Let w(t) = 4 - t + 10 - 13. Let y(k) = -2*k**4 - 4*k**3 + 2*k + 4. Let s(z) = -2*w(z) + y(z). Factor s(x).
-2*(x - 1)*(x + 1)**3
Let b(x) be the first derivative of x**5 + 5*x**4/4 - 5*x**3/3 - 5*x**2/2 + 15. Factor b(k).
5*k*(k - 1)*(k + 1)**2
Let i(c) = 2*c**4 + 2*c**3 - 4*c**2. Let m(a) = -3*a**4 - 2*a**3 + 5*a**2. Let o(q) = 4*i(q) + 3*m(q). Let o(l) = 0. Calculate l.
0, 1
Let h(n) be the first derivative of -2*n**2 - 2/9*n**3 + 1 - 6*n. Suppose h(r) = 0. What is r?
-3
Let o = 97 + -97. Suppose -2/7*d**3 + 0 + o*d**2 + 2/7*d = 0. Calculate d.
-1, 0, 1
Let s(n) be the second derivative of 2*n**7/21 - 4*n**6/5 + 14*n**5/5 - 16*n**4/3 + 6*n**3 - 4*n**2 + 6*n. Let s(c) = 0. What is c?
1, 2
Let m = -4 - -10. Factor -q**4 - 9*q**3 + 3*q**4 + m*q**2 + 0*q + 3*q**3 - 2*q.
2*q*(q - 1)**3
Let g(t) = 14*t**2 - 26*t + 16. Let p(x) = x**3 + 57*x**2 - 105*x + 64. Let i(z) = 9*g(z) - 2*p(z). Factor i(u).
-2*(u - 2)**3
Let m(o) = o**3 - 4*o**2 - 3*o. Let n(d) = d**3 - d**2 - 2*d + 3 - 3 + d. Let b(l) = -m(l) + 2*n(l). Let b(x) = 0. What is x?
-1, 0
Let x(k) be the third derivative of -k**7/1260 + k**6/360 - k**4/12 - 2*k**2. Let v(f) be the second derivative of x(f). Let v(s) = 0. What is s?
0, 1
Let 8*s**3 - s**2 + s**2 - 9*s**2 + 16 - 19*s**2 + 16*s = 0. What is s?
-1/2, 2
Let d(t) = -t**3 - t**2 + 8*t + 10. Let m be d(-3). Factor 6*f + 1/2*f**3 - m - 3*f**2.
(f - 2)**3/2
Let a(j) be the second derivative of -j**4/24 + j**3/12 + j**2/2 - 3*j. Suppose a(p) = 0. What is p?
-1, 2
Let c(b) = -50*b**3 - 160*b**2 - 15*b + 15. Let w(z) = 7*z**3 + 23*z**2 + 2*z - 2. Let i(d) = 2*c(d) + 15*w(d). Find n, given that i(n) = 0.
-5, 0
Suppose 5 = -j + 9. Let q(a) be the first derivative of 8/5*a + 1 - 2/5*a**3 - 2/25*a**5 - 2/5*a**j + 4/5*a**2. Let q(i) = 0. What is i?
-2, -1, 1
Let u be (-5)/(-4)*790/25. Let z = 557/14 - u. Factor 0 - z*r + 2/7*r**2.
2*r*(r - 1)/7
Let s(l) be the first derivative of l**7/84 - l**5/40 - l - 1. Let c(v) be the first derivative of s(v). Factor c(w).
w**3*(w - 1)*(w + 1)/2
Factor -18/7 - 2*k**2 - 2/7*k**3 - 30/7*k.
-2*(k + 1)*(k + 3)**2/7
Let u(i) = i**2 - 5*i + 4. Let r(o) = -3*o**2 + 14*o - 11. Let q(b) = 6*r(b) + 17*u(b). Factor q(p).
-(p - 1)*(p + 2)
Let s(z) = -z**3 + z**2 - z + 2. Let j be s(0). Suppose 4*y - 33 = -o, 0*y = y - 2*o - 6. Factor y*i - j*i**2 - 8*i.
-2*i**2
Let x(g) be the first derivative of g**8/3360 - g**7/