 0 + 1/4*o**4 - 7*o**2 + 1/40*o**6. Determine z so that w(z) = 0.
-2, -1, 0
Suppose -3*b + 3*b - 5*b**2 - 9*b**3 + 3*b**5 + 11*b**2 = 0. Calculate b.
-2, 0, 1
Let l(p) be the second derivative of -p**7/630 - p**6/360 + p**5/60 + 5*p**4/72 + p**3/9 + 3*p**2 + 3*p. Let m(r) be the first derivative of l(r). Factor m(t).
-(t - 2)*(t + 1)**3/3
Factor i**3 + 34*i + 2*i**3 + 15*i**3 - 36*i**2 - 3*i**4 - 4*i - 9.
-3*(i - 3)*(i - 1)**3
Let g(o) be the second derivative of 0 + 0*o**5 + 1/3*o**4 - o**2 - 3*o + 0*o**3 - 1/15*o**6. Determine d so that g(d) = 0.
-1, 1
Let j(m) be the third derivative of -m**6/1080 - m**5/135 - 5*m**4/216 - m**3/27 - 26*m**2. Find t, given that j(t) = 0.
-2, -1
Solve -8/3*a + 2/3 + 3/2*a**5 - 7/2*a**4 + 7/6*a**3 + 17/6*a**2 = 0.
-1, 2/3, 1
Factor 3*d**2 + 0 - 27/7*d**3 + 6/7*d.
-3*d*(d - 1)*(9*d + 2)/7
Suppose 4*d + 0*d - 28 = 0. Let y = d - 4. Find o such that 4*o**2 + 2*o**2 - o + 2*o + 2*o + 3*o**y = 0.
-1, 0
Suppose -6 + 21 = -3*i. Let f be i/(-6)*(-20)/(-75). Find d such that -4/9*d**2 + f + 2/9*d = 0.
-1/2, 1
Let g = 221/284 - 2/71. Factor 3/4*i**5 + g*i**3 + 3*i**4 - 15/2*i**2 - 3*i + 6.
3*(i - 1)**2*(i + 2)**3/4
Let y(x) be the second derivative of x**7/12600 - x**6/1800 + x**4/6 + 6*x. Let v(w) be the third derivative of y(w). Factor v(f).
f*(f - 2)/5
Suppose 0 = v + 4*v. Suppose 3*f + 0*f + 2*k - 90 = 0, v = -f - 3*k + 23. Factor 0*j**4 + f + 2*j**4 + 16*j**3 + 48*j**2 + 30*j + 34*j.
2*(j + 2)**4
Let z(a) be the third derivative of -a**8/1176 + a**7/735 - 3*a**2. What is u in z(u) = 0?
0, 1
Suppose -2*m - 5*h - 1 - 3 = 0, -5*m + h = -44. Suppose 0 = 5*q + 2*a - 10, 4*a = -0*q + 4*q - m. Factor 6*v**q + 4 - 2 - 2 + 2*v**3.
2*v**2*(v + 3)
Suppose 2*c + p - 38 = -2*c, 2*c - 22 = -2*p. Factor -6*f**2 + 0*f + 2*f + 10*f**3 - 9*f**3 - c*f**3.
-2*f*(f + 1)*(4*f - 1)
Suppose 0 = 5*w + 11 - 16. Let r(h) be the first derivative of -9/2*h**2 - 6*h - w - h**3. Suppose r(y) = 0. Calculate y.
-2, -1
Let v be ((-6)/(-30))/(18/20). Factor 0 - 2/9*z - v*z**2.
-2*z*(z + 1)/9
Let m(v) = v**2 + 1. Let c be m(0). Solve 2*h**3 - 4 + 3 - 6*h**2 - c + 5*h + h = 0 for h.
1
Factor -42*i - 1 - 3*i**2 - 133 + 21 - 34.
-3*(i + 7)**2
Suppose -2*c + 1 = -x + 6, c - 20 = -4*x. Let n be ((-2)/(-6))/(1/9). Solve 5*i**n - 3*i**4 + 2*i**2 + c*i**2 - 2*i**5 - 3*i**3 + i**4 = 0.
-1, 0, 1
Let u(g) be the second derivative of -g**7/1260 + g**6/160 - g**5/120 + g**4/4 + 2*g. Let w(d) be the third derivative of u(d). Factor w(z).
-(z - 2)*(4*z - 1)/2
Let r(z) be the third derivative of -1/12*z**4 + 0*z + 4*z**2 + 0 + 2/9*z**3 + 1/90*z**5. Determine t so that r(t) = 0.
1, 2
Let t = -33 + 57. Suppose -l = -c - 4*c - 22, 2*l - 5*c = t. Suppose -2*n**l - 5*n**4 + 6*n**4 + 3*n**3 + 5*n**2 + n = 0. Calculate n.
-1, 0
Find t, given that -6/11*t**2 + 0*t + 6/11 = 0.
-1, 1
Let g be (20/14)/((-20)/(-56)). Suppose 0 + 4/3*f**3 + 0*f - 2/9*f**g - 2*f**2 = 0. What is f?
0, 3
Let z(q) be the second derivative of -q**6/240 - 3*q**5/80 - q**4/8 - q**3/6 + 27*q. Determine i so that z(i) = 0.
-2, 0
Let y(r) be the first derivative of -7/12*r**3 - 10 + 0*r - 1/4*r**2 + 9/16*r**4. Factor y(b).
b*(b - 1)*(9*b + 2)/4
Let h(p) be the third derivative of -p**5/270 - p**4/108 - 3*p**2. Factor h(f).
-2*f*(f + 1)/9
Let i be (1 + 4)*-1*6/(-10). Factor 0*y + 10/7*y**5 + 0 - 2*y**4 + 4/7*y**i + 0*y**2.
2*y**3*(y - 1)*(5*y - 2)/7
Let l be (4/(-18))/((-64)/144). Let h = 33/8 + -31/8. What is g in h*g**2 + 1/4 + l*g = 0?
-1
Let m(i) = i**2 - 4*i + 1. Let w(n) = -4*n**2 + 13*n - 4. Let s(q) = -21*m(q) - 6*w(q). Factor s(l).
3*(l + 1)**2
Suppose 5*a = -4*x, 4*a + 6 = 3*x - 25. Let z(f) be the first derivative of 2/3*f**3 - f**4 + 2*f**2 + 0*f + 2 - 2/5*f**x. What is q in z(q) = 0?
-2, -1, 0, 1
Find a such that -24/7*a**2 + 8/7 - 10/7*a**3 + 4/7*a**4 - 2/7*a = 0.
-1, 1/2, 4
Let z(s) be the second derivative of 0*s**3 + 0*s**5 + 2*s + 0 + 1/120*s**6 + 1/8*s**2 - 1/24*s**4. What is c in z(c) = 0?
-1, 1
Let w(r) be the first derivative of -r**4/20 - r**3/15 - 9. Suppose w(n) = 0. Calculate n.
-1, 0
Let z(i) be the first derivative of 2*i**5/25 - i**4/5 - 2*i**3/5 + 4*i**2/5 + 8*i/5 - 2. Factor z(v).
2*(v - 2)**2*(v + 1)**2/5
Let d be (0 - 0)*((-28)/(-8) + -3). Suppose 1/4*r**5 - 3/4*r**4 + 3/4*r**3 + 0 + d*r - 1/4*r**2 = 0. What is r?
0, 1
Let z(f) be the first derivative of -f**6/4 + 9*f**5/10 - 9*f**4/8 + f**3/2 - 1. Find y, given that z(y) = 0.
0, 1
Let o(n) be the third derivative of -n**5/20 + 5*n**4/8 - 7*n**2. Factor o(s).
-3*s*(s - 5)
Let p(j) be the third derivative of -1/6*j**4 + 0*j - j**3 - 3*j**2 + 1/30*j**5 + 0. Suppose p(z) = 0. Calculate z.
-1, 3
Let c(m) be the third derivative of -m**5/60 + 2*m**3/3 - 15*m**2. Solve c(n) = 0 for n.
-2, 2
Let w = 51 - 36. Suppose 4*n + 7 = w. What is r in r - 1 + n*r**2 - 2*r**3 + r - 1 = 0?
-1, 1
Let v(i) be the second derivative of i**10/10080 - i**9/2520 + i**8/2240 - 5*i**4/12 + 3*i. Let o(w) be the third derivative of v(w). Let o(u) = 0. Calculate u.
0, 1
Let z(s) = s**3 + 4*s**2 + 7*s + 6. Let u be z(-2). What is x in -1/4*x**2 + 1/4 + u*x = 0?
-1, 1
Let q(x) be the second derivative of -x**4/6 - 4*x**3/3 - 4*x**2 + 23*x. Let q(k) = 0. What is k?
-2
Solve -4/7*k**2 + 9/7*k - 2/7 = 0.
1/4, 2
Let i(z) be the second derivative of -z**9/98280 - z**8/21840 + z**4/6 + 5*z. Let o(g) be the third derivative of i(g). Factor o(k).
-2*k**3*(k + 2)/13
Let f(h) = -23 + 8*h**2 - 3*h + 6 - 14*h. Let i(t) = -2*t**2 + 4*t + 4. Let y(p) = -6*f(p) - 26*i(p). Let y(n) = 0. What is n?
-1/2, 1
Suppose -6 = 5*u - 3*f + 5, -3 = 3*u - 3*f. Let k = -2 - u. Let 0*s - k*s**4 - 6*s**3 + 4*s - 12*s**4 + 6*s**2 - 6*s**5 = 0. Calculate s.
-1, 0, 2/3
Let d be ((-16)/(-20))/((-1)/10). Let p = d - -11. Factor 0*o + 10*o**4 - 2*o**2 + 4*o**2 + 16*o**p - 4*o.
2*o*(o + 1)**2*(5*o - 2)
Let q(r) be the second derivative of 3*r**5/20 - r**4/4 - r**3/2 + 3*r**2/2 - r. Factor q(a).
3*(a - 1)**2*(a + 1)
Let s(x) be the second derivative of -x**6/50 + 21*x**5/100 - 9*x**4/10 + 2*x**3 - 12*x**2/5 + 3*x. Factor s(k).
-3*(k - 2)**3*(k - 1)/5
Let h(x) be the third derivative of -x**6/360 + x**5/30 - x**4/8 + 2*x**3/9 + 11*x**2. Factor h(r).
-(r - 4)*(r - 1)**2/3
Let c = 40 - 40. Suppose 0 + c*y**3 + 1/3*y - 2/3*y**4 - 1/3*y**5 + 2/3*y**2 = 0. What is y?
-1, 0, 1
Suppose 2*m = -1 + 5. Factor 4*y**2 - y**4 - 4*y**3 + 0*y**m + 2*y**4.
y**2*(y - 2)**2
Let z(b) be the first derivative of 0*b - 6 + 14/15*b**3 + 2/5*b**2. Factor z(g).
2*g*(7*g + 2)/5
Let t = -4 + 6. Solve -5*v + 0*v**t + 4 + v**2 + 9*v = 0 for v.
-2
Let z = 4 + -1. Find p such that -4 + 6*p**2 - 9 + 5 - 2*p**z = 0.
-1, 2
Let d(j) be the first derivative of j**5/10 - j**4/2 + 2*j + 1. Let m(q) be the first derivative of d(q). Let m(k) = 0. What is k?
0, 3
Factor 0*h - 2/13*h**3 + 0 + 2/13*h**2.
-2*h**2*(h - 1)/13
Let t(d) be the third derivative of -d**8/48 - d**7/7 - 3*d**6/10 - 2*d**5/15 - 31*d**2. Solve t(y) = 0 for y.
-2, -2/7, 0
Let i be 2 - (-2 + (-26)/(-4))/3. Let d(p) be the first derivative of 0*p**2 + p - 1 - p**3 + i*p**4. Solve d(o) = 0 for o.
-1/2, 1
Let l(k) be the third derivative of 8*k**2 - 5/8*k**4 + 0*k - k**3 + 0 + 7/20*k**5. Determine v, given that l(v) = 0.
-2/7, 1
Suppose 0 = -z - 3*z - 12, z + 13 = 5*p. Solve -8*r**2 + 4*r**2 + 7*r**p + 3*r = 0 for r.
-1, 0
Let -121*t**3 + 11*t**2 - t**2 + 126*t**3 = 0. What is t?
-2, 0
Let x(u) be the first derivative of -u**8/224 - 3*u**7/140 - u**6/40 - u**2 + 2. Let j(t) be the second derivative of x(t). Factor j(p).
-3*p**3*(p + 1)*(p + 2)/2
Suppose 3*v = 2*p + 14 - 1, 0 = -2*v - p + 11. Let i(r) = -r + 9. Let s be i(v). Factor 10 - 2*n**3 - 10 - 2*n**s.
-2*n**3*(n + 1)
Let j(f) be the third derivative of -f**8/84 + 8*f**7/105 - f**6/6 + 2*f**5/15 + 4*f**2. Factor j(m).
-4*m**2*(m - 2)*(m - 1)**2
Let z be 34/(-119) - (-4)/7. Determine p so that -z*p**4 - 4/7*p**3 + 4/7*p + 0*p**2 + 2/7 = 0.
-1, 1
Let o = -26 + 26. Let q(b) be the third derivative of o*b**4 + 0*b - 1/240*b**5 + 0 + 0*b**3 + b**2. Factor q(u).
-u**2/4
Let o(j) = -5*j**2 + j - 2. Let d(t) = -4*t**2 + t - 2. Let f(u) = -6*d(u) + 5*o(u). Let f(l) = 0. What is l?
-2, 1
Let x be (-4)/(-1)*36/192. Factor 1/4 - x*d - 1/4*d**3 + 3/4*d**2.
-(d - 1)**3/4
Suppose 5*y - 2*y + 21 = 3*z, 0 = 3*z - 4*y - 26. Su