for z.
-2/7, 1
Let l(y) be the first derivative of -y**9/3024 + y**7/420 - y**5/120 + 7*y**3/3 + 6. Let j(x) be the third derivative of l(x). Factor j(n).
-n*(n - 1)**2*(n + 1)**2
Let a(b) be the first derivative of 3 + 2/3*b**3 + 2*b + 2*b**2. Factor a(g).
2*(g + 1)**2
Let f(p) be the second derivative of p**8/33600 + p**7/4200 + p**6/1200 + p**5/600 + p**4/3 + 7*p. Let h(c) be the third derivative of f(c). Factor h(l).
(l + 1)**3/5
Let w = 105 + -734/7. Find b, given that 0*b**2 - 1/7*b + 0 + w*b**3 = 0.
-1, 0, 1
Let g(q) be the second derivative of 3*q**7/7 + 4*q**6/3 + 13*q**5/10 + q**4/3 + q. Suppose g(h) = 0. What is h?
-1, -2/9, 0
Suppose -1/4*j**5 + 3/2*j**3 + 1/4*j**4 - 3/4 + 11/4*j - 7/2*j**2 = 0. Calculate j.
-3, 1
Let x(h) be the second derivative of -h**5/20 - h**4/12 + h**3/6 + h**2/2 + 10*h. Factor x(k).
-(k - 1)*(k + 1)**2
Suppose 0 = -4*s - 11 - 13. Let z = s - -10. Find n such that 0 + 6/7*n**z + 0*n + 2/7*n**5 + 4/7*n**3 + 0*n**2 = 0.
-2, -1, 0
Let h(t) be the second derivative of -9*t**5/20 + t**4/2 - 4*t. Factor h(y).
-3*y**2*(3*y - 2)
Let z(g) = 5*g**2 + 6*g + 5. Let r(k) = -3*k**2 - 4*k - 3. Let x = 3 - 3. Suppose 0 = -x*w - w - 8. Let c(y) = w*r(y) - 5*z(y). Factor c(b).
-(b - 1)**2
Suppose 11 = 5*l - x, x + 2*x + 3 = 0. Let u(r) be the first derivative of 7/3*r**3 - 2 + 0*r + r**l. Factor u(i).
i*(7*i + 2)
Factor 3/4*i**3 + 0 - 3/2*i**2 + 3/8*i**4 - 3*i.
3*i*(i - 2)*(i + 2)**2/8
Find b such that 1/4 - 5/4*b - 3/4*b**3 + 7/4*b**2 = 0.
1/3, 1
Let s(n) be the first derivative of 5*n**3/3 + 15*n**2/2 - 3. Suppose s(i) = 0. Calculate i.
-3, 0
Let b(s) be the third derivative of -s**10/10080 + s**8/1120 - s**6/240 - s**4/4 + 4*s**2. Let o(m) be the second derivative of b(m). Factor o(w).
-3*w*(w - 1)**2*(w + 1)**2
Let w(r) = 2*r**2 - 2*r + 2. Let k be w(2). Suppose 4*f - 4 = 0, -2*c - 2*f = 3*c - 27. Find b, given that -4*b**2 + 3 - c + k*b**2 + 2*b - 2*b**3 = 0.
-1, 1
Let j = 5 + -9. Let f be (3 + -5)*(-1 + j). Suppose 12*d**2 - 22*d**3 - 8*d**4 + 2*d**2 + 3*d + 19*d + 4 - f*d**4 = 0. What is d?
-1, -2/9, 1
Let m be 1/((1/7)/(54/189)). Let -m - 2/3*k**2 + 8/3*k = 0. Calculate k.
1, 3
Let i be 8/(-2 + 5/2). Let y be (-2)/(-4) + 24/i. Determine m, given that -9/4*m**5 + 0 + 7/2*m**3 + 15/4*m**4 - 3*m**y - 2*m = 0.
-2/3, 0, 1, 2
Let y(b) be the third derivative of -b**5/15 - 2*b**4/3 - 2*b**3 + 3*b**2. Determine x, given that y(x) = 0.
-3, -1
What is w in -17/3*w**3 + 4*w + 4/3 - 1/3*w**2 - w**4 + 5/3*w**5 = 0?
-1, -2/5, 1, 2
Suppose -169*q**4 - 6*q**2 + 4*q**2 + 52*q**3 - 2*q**2 = 0. What is q?
0, 2/13
Let l(t) = 33*t**5 + 72*t**4 + 27*t**3 - 3*t**2 + 9*t - 9. Let q(h) = 17*h**5 + 36*h**4 + 13*h**3 - 2*h**2 + 4*h - 4. Let g(k) = 4*l(k) - 9*q(k). Factor g(w).
-3*w**2*(w + 1)**2*(7*w - 2)
Let n = 5 + 3. Suppose 12 = -2*w + n*w. Determine y, given that 8/7*y + 0 - 16/7*y**w + 6/7*y**3 = 0.
0, 2/3, 2
Let h be 7 + -11 - 38/(-8). Let 3/2*p**4 + 3/4 - 9/4*p**2 - h*p + 3/4*p**3 = 0. What is p?
-1, 1/2, 1
Let m(i) be the second derivative of 1/10*i**3 + 3*i + 0 + 0*i**2 - 1/50*i**6 + 9/100*i**5 - 3/20*i**4. Factor m(v).
-3*v*(v - 1)**3/5
Let g(q) be the first derivative of -q**3/6 - q**2/4 + q - 18. Factor g(f).
-(f - 1)*(f + 2)/2
Let m(l) be the second derivative of 0 + 1/180*l**5 - 1/3*l**3 + 0*l**2 + l + 1/1080*l**6 + 1/72*l**4. Let v(b) be the second derivative of m(b). Factor v(k).
(k + 1)**2/3
Let u = -2378/7 - -340. Find a such that -u - 4/7*a - 2/7*a**2 = 0.
-1
Let k = -2 - -6. Let c be (-4)/(-6)*9/k. Solve -c*t - 3*t**2 - 3/2*t**3 + 0 = 0.
-1, 0
Let u be -3*(-12)/(-27) - 48/(-9). Let k(i) be the first derivative of 1 + i**2 - 8/3*i**3 + 2*i**u + 0*i. Factor k(b).
2*b*(2*b - 1)**2
Factor -2/17*b**5 + 2/17*b + 4/17*b**2 - 4/17*b**4 + 0*b**3 + 0.
-2*b*(b - 1)*(b + 1)**3/17
Suppose r + 5*w - 19 = 4*r, -2*r - 11 = -3*w. Let h(o) be the second derivative of 1/3*o**4 + 1/3*o**r + 0 + o - 11/18*o**3. Factor h(x).
(3*x - 2)*(4*x - 1)/3
Suppose 28/3*b**4 + 8*b**2 - 2/3 + 55/3*b**3 - 5/3*b = 0. What is b?
-1, -1/4, 2/7
Let o be (3 - 0)/(-3) + 3. Let i(k) = 3*k**2 - 2*k - 2. Let p be i(o). Factor 5*h + 0*h**2 + h**4 - p*h + h**3 - h**2.
h*(h - 1)*(h + 1)**2
Factor -10/11*d**2 + 1/11*d**3 + 32/11*d - 32/11.
(d - 4)**2*(d - 2)/11
Let d(q) = -q**4 - q**2 - q + 1. Let c(g) = 0*g**3 + 6*g**2 + g + 3*g**4 - 3*g**2 - 4*g**3 + 1 - 2. Let o(r) = c(r) + d(r). Factor o(j).
2*j**2*(j - 1)**2
Let -4/9 - 4/9*t**2 - 8/9*t = 0. What is t?
-1
Let i be 1 + (1140/(-9))/(-5). Let n = i - 25. Find j such that -2/3 - n*j - 2/3*j**2 = 0.
-1
Let z(j) be the third derivative of 0 + 0*j + 0*j**3 - 1/24*j**4 + 1/120*j**6 + 0*j**5 - 5*j**2. Factor z(p).
p*(p - 1)*(p + 1)
Let z(o) be the first derivative of 0*o**5 + 1/120*o**6 + 0*o**3 + 0*o**4 + 0*o - 1 - 2*o**2. Let b(r) be the second derivative of z(r). Solve b(w) = 0.
0
Let q = -105/2 + 57. Factor q*d - 3/2*d**3 + 3*d**2 + 0.
-3*d*(d - 3)*(d + 1)/2
Let i be (24/(-10))/(63/(-30)). What is v in i*v - 2/7*v**2 - 8/7 = 0?
2
Let p(v) = 25*v**4 + 39*v**3 - 16*v**2 - 57*v - 9. Let r(z) = 6*z**4 + 10*z**3 - 4*z**2 - 14*z - 2. Let u(m) = 2*p(m) - 9*r(m). Factor u(d).
-4*d*(d - 1)*(d + 1)*(d + 3)
Let d(w) be the second derivative of -1/25*w**5 - 2/15*w**3 + 1/10*w**2 - 3*w + 1/10*w**4 + 0 + 1/150*w**6. Factor d(n).
(n - 1)**4/5
Let n(m) be the third derivative of 0*m**3 + 0 + 3*m**2 + 0*m + 0*m**4 - 1/540*m**6 + 1/135*m**5. Factor n(r).
-2*r**2*(r - 2)/9
Suppose 9 + 3 = 6*j. Factor -4/9 - 2/3*m**j - 10/9*m.
-2*(m + 1)*(3*m + 2)/9
Determine q, given that -2/7*q + 0 + 2/7*q**3 + 2/7*q**4 - 2/7*q**2 = 0.
-1, 0, 1
Suppose 0 = 2*h - 6*h. Let g = 0 + h. Find x such that 1/4*x**2 + 0 + g*x = 0.
0
Let b be -3 - (1 - 2 - 2). Factor 2*q**2 - q**3 - 4*q**2 - q + 0*q**2 + b*q.
-q*(q + 1)**2
Let o be 2/(-3)*(-6)/10. Let t(b) = b**3 + 10*b**2 + 7*b - 15. Let p be t(-9). Let -o*j**4 + 2/5*j**p + 0 + 2/5*j**2 - 2/5*j = 0. What is j?
-1, 0, 1
Suppose 0 = 5*t - 8*t + 6. Let k(w) be the second derivative of w - w**3 + 3/10*w**5 + t*w**2 + 0 - 1/3*w**4. Determine v so that k(v) = 0.
-1, 2/3, 1
Let f(d) = d**3 - d**2 - d - 1. Let t(i) = 15*i**3 + 12*i**2 + 6*i + 6. Let v = 15 + -14. Let u(q) = v*t(q) + 6*f(q). Let u(a) = 0. Calculate a.
-2/7, 0
Let t(o) = 2*o + 7. Let f be t(7). Suppose -3*y + 4*y - 1 = 0, 4*r = -5*y + f. Determine h so that 2*h - 1/2*h**r + 3/2*h**2 - h**3 - 2 = 0.
-2, 1
Let q(j) = j + 3. Let g be q(-1). Let k(n) be the first derivative of n**g + 1 + n + 1/3*n**3. Suppose k(d) = 0. What is d?
-1
Suppose 0 + 2/5*f**4 + 0*f - 4/5*f**3 + 2/5*f**2 = 0. Calculate f.
0, 1
Let o(w) = 11*w**4 + 16*w**3 - 11*w**2 - 16*w + 13. Let f(v) = 3*v**4 + 4*v**3 - 3*v**2 - 4*v + 3. Let c(u) = -26*f(u) + 6*o(u). Find m such that c(m) = 0.
-1, -2/3, 0, 1
Let g(q) be the third derivative of 2*q**7/105 + 19*q**6/120 + 11*q**5/60 - q**4/6 - 12*q**2. Find j such that g(j) = 0.
-4, -1, 0, 1/4
Let z(u) be the third derivative of u**5/100 + 3*u**4/5 + 72*u**3/5 - u**2 - 5. Factor z(j).
3*(j + 12)**2/5
Let x(j) be the second derivative of j**9/75600 + 7*j**4/12 - 5*j. Let y(q) be the third derivative of x(q). Factor y(c).
c**4/5
Let m(t) be the second derivative of -t**7/315 + t**6/120 - t**5/180 + 2*t**2 + 4*t. Let o(j) be the first derivative of m(j). Factor o(u).
-u**2*(u - 1)*(2*u - 1)/3
Suppose -7 = -4*t + 1. Factor 0*n**4 - 4*n**t - n**4 + 2*n**3 + 2*n**3.
-n**2*(n - 2)**2
Let -1/2 + c - 1/2*c**2 = 0. What is c?
1
Let m(l) be the second derivative of -l**4/15 + 8*l**3/15 + l. Determine c so that m(c) = 0.
0, 4
Let v(s) be the third derivative of s**7/1050 - s**5/150 + s**3/30 - 16*s**2. Find t, given that v(t) = 0.
-1, 1
Let p = -13 - -15. Let t(s) be the third derivative of -1/6*s**3 + 1/210*s**7 + 0*s + 0*s**5 + 0 + 1/12*s**4 - 1/60*s**6 + 2*s**p. Find v, given that t(v) = 0.
-1, 1
Let 18/7*s**4 + 0 + 4/7*s**3 + 0*s - 36/7*s**5 + 0*s**2 = 0. Calculate s.
-1/6, 0, 2/3
Let p(a) be the first derivative of 0*a**3 + 0*a + 0*a**2 + 2 - 1/12*a**4 + 1/15*a**5. Factor p(b).
b**3*(b - 1)/3
Let i(o) = o**2 + 17*o + 5 - 23 + 0*o. Let s be i(-18). Solve 8/3*g + s*g**3 - 9*g**4 + 1/3 + 6*g**2 = 0.
-1/3, 1
Let z(b) be the third derivative of -14*b**7/15 + 14*b**6/15 - 4*b**5/15 + 8*b**2. Factor z(t).
-4*t**2*(7*t - 2)**2
Let i(d) = 8*d**3 + 28*d**2 + 16*d