**3 + 0 = 0. Calculate w.
-1, 0, 1
Let m = 10 + -5. Let u(v) be the third derivative of 1/60*v**m - 1/12*v**4 + 0*v + 1/6*v**3 + 0 - v**2. Let u(o) = 0. Calculate o.
1
Let a(l) be the second derivative of 0 + 1/3*l**2 + 1/6*l**3 - 1/90*l**6 - 1/20*l**5 + 6*l - 1/36*l**4. Find r such that a(r) = 0.
-2, -1, 1
Let y be 1 + 2*(-22)/48. Let q(h) be the second derivative of 0*h**2 - 2*h + 0*h**5 - y*h**3 + 1/84*h**7 - 1/30*h**6 + 0 + 1/12*h**4. Let q(l) = 0. What is l?
-1, 0, 1
Let b(k) be the second derivative of 0*k**3 + 0*k**4 + 0 + 0*k**2 + 1/14*k**7 - 3/20*k**5 + 0*k**6 - 3*k. Factor b(y).
3*y**3*(y - 1)*(y + 1)
Find r such that -4/5*r**2 + 4/5 - 2/5*r**3 + 2/5*r = 0.
-2, -1, 1
Suppose -5*r**5 + 5*r**4 + r**5 - r**4 = 0. What is r?
0, 1
Let i(h) = -h**3 - 25*h**2 + 50*h - 106. Let b be i(-27). Factor z**3 + 1/3*z - 4/3*z**b + 0.
z*(z - 1)*(3*z - 1)/3
Let u(v) be the third derivative of -v**5/420 - v**4/168 + v**3/21 - 4*v**2. Find d such that u(d) = 0.
-2, 1
Factor 93*a**2 - 184*a**2 + 87*a**2 - 8*a**3.
-4*a**2*(2*a + 1)
Let a(w) be the second derivative of -w**6/105 + w**5/35 + w**4/42 - 2*w**3/21 - 28*w. Determine z so that a(z) = 0.
-1, 0, 1, 2
Let r(a) be the second derivative of a**7/21 - 4*a**6/15 + 3*a**5/5 - 2*a**4/3 + a**3/3 - 3*a. Factor r(d).
2*d*(d - 1)**4
Let p(l) be the second derivative of 4*l + 1/16*l**4 - 1/4*l**3 + 3/8*l**2 + 0. What is i in p(i) = 0?
1
Let p(x) = 10*x + 24*x + 39*x**2 - 54*x - 214*x + 324. Let u(f) = -3*f**2 + 18*f - 25. Let z(o) = 2*p(o) + 27*u(o). Suppose z(a) = 0. What is a?
3
Determine c so that 0*c**2 - 3/2*c**5 + 0 + 0*c + 3*c**3 + 3/2*c**4 = 0.
-1, 0, 2
Let q(z) = -2*z - 6. Let a be q(-4). Suppose 0 = v + a - 4. Factor 2*d - v*d**2 - 2*d + 2.
-2*(d - 1)*(d + 1)
Suppose 0 = -2*t - 2*t + 16. Let l(h) be the second derivative of 0*h**2 + 0 - 2/35*h**6 - 2*h - 4/21*h**3 - 1/147*h**7 - 13/70*h**5 - 2/7*h**t. Factor l(w).
-2*w*(w + 1)**2*(w + 2)**2/7
Let c(b) be the first derivative of b**4 - 20*b**3/3 + 14*b**2 - 12*b - 4. Factor c(p).
4*(p - 3)*(p - 1)**2
Factor 0 - 288/7*n - 2/7*n**3 + 48/7*n**2.
-2*n*(n - 12)**2/7
Suppose 0 = 83*o - 72*o - 33. Suppose -21/5*m**2 - 6/5*m + 3*m**5 + 21/5*m**4 + 0 - 9/5*m**o = 0. Calculate m.
-1, -2/5, 0, 1
Let y(c) be the third derivative of -c**6/4 + 7*c**5/30 + c**4/3 + 10*c**2. Let y(x) = 0. What is x?
-1/3, 0, 4/5
Find g such that 15/4*g**2 - 75/4*g - 1/4*g**3 + 125/4 = 0.
5
Let l(x) be the third derivative of -x**8/2352 - x**7/294 - x**6/105 - x**5/105 - 15*x**2. What is q in l(q) = 0?
-2, -1, 0
Let b(h) be the second derivative of h**8/1344 + h**7/840 - h**6/480 - h**5/240 + h**2/2 + h. Let n(k) be the first derivative of b(k). Factor n(i).
i**2*(i - 1)*(i + 1)**2/4
Find k such that 0*k - 2/9 + 2/9*k**2 = 0.
-1, 1
Let d(w) be the second derivative of w**6/1260 + w**5/420 - w**4/42 - w**3/6 + 2*w. Let p(x) be the second derivative of d(x). Factor p(a).
2*(a - 1)*(a + 2)/7
Let y(s) be the second derivative of s**7/105 + s**6/25 + s**5/50 - s**4/10 - 2*s**3/15 + 16*s. Let y(d) = 0. Calculate d.
-2, -1, 0, 1
Let w(j) be the first derivative of -j**3/3 + j**2/2 - j + 3. Let y(i) = i**2 - i + 2. Let t(c) = -2*w(c) - y(c). Solve t(d) = 0.
0, 1
Let d be ((-7)/1)/(3 - 4). Let b(n) = -n**2 + 8*n - 4. Let h be b(d). Factor -7*x**2 - x + 10*x**4 - 4*x**3 + 6*x**4 - 4*x**h.
x*(x - 1)*(4*x + 1)**2
Let s be (-1)/(3/2*-2). Let i(h) be the second derivative of -s*h**3 + h**2 - h + 0 + 1/24*h**4. Suppose i(x) = 0. What is x?
2
Let n(m) = 5*m**3 + 4*m**2 - 7*m - 4. Let o(t) = -t**2 + t + 1. Let c = 7 + -8. Let l(j) = c*n(j) - 2*o(j). Factor l(f).
-(f - 1)*(f + 1)*(5*f + 2)
Find a such that -15*a - 6 - 5*a**2 - 4 + 10 = 0.
-3, 0
Let b = 6 - 3. Suppose -b*o + 12 = o. Factor 4*p**2 + 2 - 2*p - 2*p**o + 4*p**3 - 6*p**2.
2*(p - 1)**2*(p + 1)
Let z be (-5)/(-1)*3/5. Factor -1 + w**3 - 2*w**2 - 2*w**5 + 3*w + w**5 - z*w**3 + 3*w**4.
-(w - 1)**4*(w + 1)
Let t(m) be the third derivative of 0*m**5 + 0*m - 2/15*m**3 - 1/20*m**4 + 1/300*m**6 + 0 + 6*m**2. Suppose t(i) = 0. Calculate i.
-1, 2
Let n(a) be the first derivative of -a**4/4 - 13*a**3/3 + 29*a**2/2 - 15*a - 13. Suppose n(z) = 0. What is z?
-15, 1
Let k(u) be the third derivative of u**7/70 - 3*u**6/20 + 3*u**5/5 - u**4 - 10*u**2. Find a such that k(a) = 0.
0, 2
Let l(o) = 78*o**2 + 120*o + 57. Let n(w) = 11*w**2 + 17*w + 8. Let j(z) = 2*l(z) - 15*n(z). Factor j(f).
-3*(f + 1)*(3*f + 2)
Let i(v) = -v + 7. Let r be i(3). Factor 2*g**4 + 0*g**4 - 2*g**3 + g**r - 5*g**4.
-2*g**3*(g + 1)
Let n(z) be the first derivative of z**8/560 - z**7/350 + 2*z**2 - 4. Let r(g) be the second derivative of n(g). Find i, given that r(i) = 0.
0, 1
Let h be (-18)/12 + 0 - 9/(-3). Factor -h*s**2 - 1/2*s**4 - 1/2*s + 0 - 3/2*s**3.
-s*(s + 1)**3/2
Let x(t) be the third derivative of t**7/665 + t**6/570 - t**5/570 - 44*t**2. Factor x(s).
2*s**2*(s + 1)*(3*s - 1)/19
Let h(p) be the second derivative of p**7/252 + p**6/180 - p**5/40 - p**4/72 + p**3/18 + 11*p. Solve h(j) = 0 for j.
-2, -1, 0, 1
Let n be (188/(-141))/(3*(-2)/9). Determine k so that 6/7*k**3 - 4/7*k + 2/7*k**4 + 0 - 2/7*k**5 - 2/7*k**n = 0.
-1, 0, 1, 2
Let g(d) = -d**3 + 5*d**2 - 2*d + 5. Let f be g(5). Let p = f + 7. Factor u**2 + 0*u**p + u + u**3 + u**2.
u*(u + 1)**2
Let q be (-2)/(-4)*(14 - (4 - -4)). Let s(v) be the third derivative of 0*v + 1/6*v**q - v**2 + 1/16*v**4 + 0 + 1/120*v**5. Solve s(b) = 0.
-2, -1
Let g(s) be the second derivative of 3*s**5/100 + s**4/20 - s**3/5 + s. Factor g(d).
3*d*(d - 1)*(d + 2)/5
Let l(y) be the first derivative of 3 + 0*y + 2/7*y**2 + 1/14*y**4 + 2/7*y**3. Factor l(w).
2*w*(w + 1)*(w + 2)/7
Let d(f) be the first derivative of 144*f**5/35 - 30*f**4/7 - 23*f**3/21 + 10*f**2/7 + 4*f/7 - 5. Factor d(j).
(3*j - 2)**2*(4*j + 1)**2/7
Let v(b) be the first derivative of b**6/8 + b**5/4 - b**4/8 - b**3/2 - b**2/8 + b/4 + 9. Factor v(z).
(z - 1)*(z + 1)**3*(3*z - 1)/4
Let d(u) be the third derivative of -u**7/10080 + 5*u**4/24 - 6*u**2. Let w(m) be the second derivative of d(m). Factor w(r).
-r**2/4
Determine n, given that 2/7*n**2 + 32/7 + 16/7*n = 0.
-4
Suppose -2*q + 2 = g, 5*g = 2*q - 5*q - 11. Find k, given that 0 + 2/7*k**q + 2/7*k**2 + 0*k = 0.
-1, 0
Let t = -3435 + 24100/7. Let p = t - 151/21. Determine b so that -2/3*b**2 + 0*b + p = 0.
-1, 1
Solve -11/2*r**3 + 1/2*r + 12/5*r**2 - 1/5 + 14/5*r**4 = 0.
-2/7, 1/4, 1
Let b(c) be the second derivative of c**4/48 + c**3/12 - 3*c. Factor b(m).
m*(m + 2)/4
Let x be 2*(-1)/(6/(-27)). Suppose x = 2*p + p. Find q such that -p*q - 2*q - 2*q + q**2 + 6*q = 0.
0, 1
Let t(s) be the first derivative of 0*s**3 + 1/40*s**5 - s**2 + 0*s + 1/24*s**4 + 1. Let w(f) be the second derivative of t(f). Factor w(j).
j*(3*j + 2)/2
Suppose 5*d + 20 = v - 0*d, 0 = 4*v - 5*d - 20. Factor 1/3*b**4 - 1/3*b**2 + 1/3*b**3 - 1/3*b + v.
b*(b - 1)*(b + 1)**2/3
Factor -3*l**3 + l + l**3 + l**3.
-l*(l - 1)*(l + 1)
Factor -6*u**4 - 5 + 10*u**2 - 20*u + 31*u**4 - 17*u**2 + 10*u**5 + 10*u**3 - 13*u**2.
5*(u - 1)*(u + 1)**3*(2*u + 1)
Factor 1/4*r**2 + 1/8*r**3 + 1/8*r + 0.
r*(r + 1)**2/8
Let c be ((-15)/12)/(4 - 28). Let q(d) be the third derivative of c*d**4 - 1/60*d**5 + 1/480*d**6 + 0*d - 1/12*d**3 - 3*d**2 + 0. Factor q(h).
(h - 2)*(h - 1)**2/4
Suppose -5*j = 2*b - 17, j + b = -j + 7. Let a(v) be the second derivative of -3/20*v**5 + 0 - 3*v**2 + 1/2*v**j - 1/10*v**6 - v + 3/4*v**4. Factor a(z).
-3*(z - 1)**2*(z + 1)*(z + 2)
Let y(i) = -3*i**2 - 3*i + 4. Let o(c) = -10*c**2 - 8*c + 11. Let r(t) = -4*o(t) + 14*y(t). Let r(a) = 0. Calculate a.
-6, 1
Let w(g) = 2*g**5 + 2*g**4 + 2*g**3 - 2*g**2 - 2. Let d(c) = -1 + 5*c**2 + 3*c**4 - 3*c**2 - 3*c**2 + c**3 - 2*c**4. Let k(y) = -2*d(y) + w(y). Factor k(s).
2*s**5
Let q be (-2)/6 + 35/15. Solve 4*z**2 - 3*z + z - 2*z**2 - 4*z**q = 0 for z.
-1, 0
Let h = 1/66 + 29/22. Determine p, given that -h*p - 4/3 - 1/3*p**2 = 0.
-2
Suppose n = 4, -5*i + 9 = 3*n - 13. Suppose 8 = 3*f + i. Suppose 5*t - t**f - t + 2 + 0*t**2 + 3*t**2 = 0. Calculate t.
-1
Let x(o) be the first derivative of -2/75*o**5 + 0*o + 1 - 1/2*o**2 + 1/20*o**4 + 1/15*o**3. Let d(u) be the second derivative of x(u). Factor d(f).
-2*(f - 1)*(4*f + 1)/5
Let t(h) be the third derivative of 1/660*h**6 + 0*h**3 + 0*h + 0 - 2*h**2 - 1/165*h**5 + 1/