**2 - 10*i - 7. Let w(b) = b**3 + 3*b + 2. Let v(h) = l*g(h) - 7*w(h). Factor v(t).
-t*(t - 1)**2
Suppose 14 = t + 11. Let h(x) be the first derivative of 2/9*x**3 + t + 7/15*x**5 + 0*x + 0*x**2 - 3/4*x**4. Factor h(y).
y**2*(y - 1)*(7*y - 2)/3
Let j(s) be the third derivative of -s**7/3360 - s**6/480 + 5*s**4/24 - s**2. Let v(d) be the second derivative of j(d). Factor v(o).
-3*o*(o + 2)/4
Let h(f) = f**4 + f**3 + f**2 - f - 1. Let d(y) = -7 + 2*y + 4*y**2 + 4*y - 4*y - 2*y**3 + y**4 + 6*y**4. Let r(l) = d(l) - 4*h(l). Factor r(t).
3*(t - 1)**3*(t + 1)
Let q(d) be the second derivative of d**7/24 + 37*d**6/120 + 59*d**5/80 + 35*d**4/48 + d**3/4 + 22*d. What is h in q(h) = 0?
-3, -1, -2/7, 0
Let y = 1283/2415 + -12/23. Let p(o) be the second derivative of 0*o**2 - 1/21*o**3 + 3*o + 1/70*o**5 + y*o**6 + 0 - 1/42*o**4. Find s, given that p(s) = 0.
-1, 0, 1
Let n(w) be the third derivative of w**9/90720 - w**8/30240 + w**5/30 + 2*w**2. Let z(h) be the third derivative of n(h). Solve z(p) = 0 for p.
0, 1
Let h be ((-60)/(-105))/((-2)/28*-4). Let y(w) be the first derivative of 2 - 2*w**5 + 4/3*w**3 + 0*w + 3/2*w**4 + 0*w**h. Factor y(j).
-2*j**2*(j - 1)*(5*j + 2)
Let k(q) be the second derivative of q**6/90 + q**5/45 + 3*q**2/2 - 4*q. Let n(l) be the first derivative of k(l). Factor n(g).
4*g**2*(g + 1)/3
Let g(c) be the third derivative of -c**8/84 + 2*c**7/105 + c**6/5 - 14*c**5/15 + 11*c**4/6 - 2*c**3 - 10*c**2. Suppose g(f) = 0. Calculate f.
-3, 1
Solve -2/3*q**4 + 4*q**3 - 2 - 8*q**2 + 20/3*q = 0 for q.
1, 3
Factor 7*s**3 - s**3 - 3*s**3.
3*s**3
Let b(s) = -s**2 - 7*s + 3. Let h be b(-7). Suppose 1 = f - 2. Suppose f*z**3 + z - 4*z**2 - z**h + z = 0. What is z?
0, 1
Let s(d) be the second derivative of d**5/160 + d**4/16 + d**3/4 - d**2/2 - 8*d. Let c(j) be the first derivative of s(j). Let c(y) = 0. Calculate y.
-2
Suppose 2*g - 1 = -5*d + 12, 0 = 2*d + 5*g - 1. Factor d + 6*k + 9*k + 7*k**2 - 3*k**2 + 8*k**2.
3*(k + 1)*(4*k + 1)
Let l(v) be the third derivative of -v**6/40 - 3*v**5/20 + 2*v**3 + 29*v**2. Factor l(d).
-3*(d - 1)*(d + 2)**2
Let x(l) be the first derivative of -1/3*l**3 + l**2 + 1/10*l**5 - 1 - 1/6*l**4 + 2*l. Let j(u) be the first derivative of x(u). Factor j(w).
2*(w - 1)**2*(w + 1)
Factor 2*f**3 + 6 - 6.
2*f**3
Let b(o) = -6*o**3 - 36*o**2 - 72*o - 48. Let i(s) = -3*s**3 - 18*s**2 - 36*s - 24. Let t(r) = -4*b(r) + 9*i(r). Find l, given that t(l) = 0.
-2
Let w(x) = -8*x**2 - 24*x + 37. Let y(q) = -44*q**2 - 132*q + 204. Let z(b) = 28*w(b) - 5*y(b). Factor z(k).
-4*(k - 1)*(k + 4)
Let w(b) be the second derivative of b**5/24 + 11*b**4/72 + b**3/18 + 41*b. Determine i, given that w(i) = 0.
-2, -1/5, 0
Let s(d) be the first derivative of -d**5/5 - d**4/4 - 48. Factor s(p).
-p**3*(p + 1)
Suppose -4*y**3 + 12*y - 3*y**3 + 4 + 12*y**2 + 11*y**3 = 0. Calculate y.
-1
Let z(f) = 6*f**2 - 16*f - 4*f**2 - 15 + 37. Let p(r) = -2*r**2 + 17*r - 23. Let d(n) = -4*p(n) - 5*z(n). What is u in d(u) = 0?
3
Let k(q) = -6*q**2 - 6*q + 4. Let j(x) = -5*x**2 - 5*x + 3. Let u = -5 + 9. Let m(z) = u*j(z) - 3*k(z). Factor m(b).
-2*b*(b + 1)
Let y = 71 + -66. Let r(o) be the third derivative of 0*o + 7/18*o**4 - 49/180*o**y - 2*o**2 + 0 - 2/9*o**3. Factor r(u).
-(7*u - 2)**2/3
Let n(h) = -8*h**3 + 23*h**2 - 20*h + 5. Let q(c) = 175*c**3 - 505*c**2 + 440*c - 110. Let r(t) = 45*n(t) + 2*q(t). Factor r(g).
-5*(g - 1)**2*(2*g - 1)
Suppose 0 = 45*o - 50*o + 10. Let -2/9*c + 0 + 2/9*c**3 + 0*c**o = 0. Calculate c.
-1, 0, 1
Suppose 2*z + 0*z = 6. Suppose -4*y = f - 0 - 3, 0 = -z*f - 3. Suppose 2*n - 2*n**3 + 0 + 0*n - y + n**4 = 0. What is n?
-1, 1
Factor -4/3*h**2 - 16/3*h - 16/3.
-4*(h + 2)**2/3
Suppose 8 = 3*v + 2*j, -5*v = -5*j + j - 6. Determine z so that 2/3*z**3 + 2/3*z**v - 1/3 - 1/3*z - 1/3*z**5 - 1/3*z**4 = 0.
-1, 1
Factor -4*d + d + d**3 + 2*d**3.
3*d*(d - 1)*(d + 1)
Let q be (21/14)/((-1)/(-10)). Suppose -38 = -2*x - 5*j - 13, 3*j = 5*x + q. Find v such that 2/7*v**5 - 4/7*v**4 + 0 + 4/7*v**2 - 2/7*v + x*v**3 = 0.
-1, 0, 1
Let k(v) be the third derivative of v**6/150 - 2*v**4/15 - 21*v**2. Factor k(z).
4*z*(z - 2)*(z + 2)/5
Let h(i) be the second derivative of -i**5/90 - 5*i**2/2 - 3*i. Let k(p) be the first derivative of h(p). Determine b so that k(b) = 0.
0
Let m(g) be the third derivative of g**5/180 - 23*g**4/36 + 529*g**3/18 + 4*g**2 - 12. Factor m(d).
(d - 23)**2/3
Factor -15*n**2 + 5*n - 22*n - 1 - 4 - 3*n.
-5*(n + 1)*(3*n + 1)
Let f(x) be the first derivative of -8*x**5/5 - x**4 - x**3/6 + 25. Determine z, given that f(z) = 0.
-1/4, 0
Let n = 65 - 779/12. Let k(g) be the second derivative of 0*g**2 - 2*g - 1/24*g**4 + n*g**3 + 0. Factor k(m).
-m*(m - 1)/2
Let 15*j**3 - 19*j**4 + 34*j**4 - 9 + 9 + 5*j**5 + 5*j**2 = 0. What is j?
-1, 0
Solve -3*m**3 - 19*m**2 + 12*m + 19*m**2 = 0.
-2, 0, 2
Let d(a) be the first derivative of 0*a + 1/10*a**4 + 1/5*a**2 + 3 - 4/15*a**3. Let d(t) = 0. What is t?
0, 1
Let l(y) = y**2 + 5*y + 3. Let z be l(-5). Suppose 4*v + 0 = 3*m + 3, 30 = 5*v + 5*m. Solve g**2 + g - z*g**2 - g - 2*g**4 - 4*g**v = 0.
-1, 0
Let r = 0 - -6. Let h(x) = 7*x**2 - 3*x + 2. Let f(t) = -6*t**2 + 3*t - 2. Let o(j) = r*f(j) + 5*h(j). Factor o(m).
-(m - 2)*(m - 1)
Let j(u) be the second derivative of u**4/4 + 3*u**3/2 - 4*u. Factor j(c).
3*c*(c + 3)
Let g(u) be the third derivative of u**6/120 - u**4/8 + u**3/3 + 20*u**2. Factor g(c).
(c - 1)**2*(c + 2)
Let q(o) = -6*o**2 - 15*o + 48. Let g(x) = -x**2 - 2*x + 7. Let i(r) = -27*g(r) + 4*q(r). Solve i(b) = 0.
1
Let j be (-30)/84*(-4)/10. Let 0 - j*f**3 + 0*f + 0*f**2 = 0. What is f?
0
Let p(g) be the first derivative of -g**4 + 16*g**3/3 - 8*g**2 - 9. Factor p(v).
-4*v*(v - 2)**2
Let l = -129/2 - -1165/18. Factor -2/9 - l*i**2 - 4/9*i.
-2*(i + 1)**2/9
Suppose 0 = -4*c - 3*a - 2*a + 17, 6 = 3*c - 3*a. Solve -4*p**4 - 5*p**3 + 2*p**4 + 3*p**c = 0 for p.
-1, 0
Let o(i) = -3*i - 2. Let f be o(-2). Suppose 0*u + 4/9*u**f + 0*u**2 + 2/9*u**5 + 2/9*u**3 + 0 = 0. What is u?
-1, 0
Factor c**3 - 5*c**3 + 5*c**3.
c**3
Let u = -1303 - -1306. Solve 3/2*q**2 + 3/2*q - 3/2*q**u - 3/2 = 0.
-1, 1
Let -13/2*q + 7/2 - q**2 = 0. Calculate q.
-7, 1/2
Suppose -2*f + 8 = 0, 0 = -4*q + 5*f - 0*f - 12. Factor -2*u + 2 + 1/2*u**q.
(u - 2)**2/2
Factor 1/5*a**2 - 1/10*a - 1/5 + 1/10*a**3.
(a - 1)*(a + 1)*(a + 2)/10
Suppose 6*t - 23 + 5 = 0. Suppose -3/2*v**2 + v + v**t - 1/4*v**4 - 1/4 = 0. Calculate v.
1
Let m be (2 + -2)/((5 - 0) + -3). Determine n, given that 3/2*n**3 + 0 - 3*n**2 + m*n = 0.
0, 2
Suppose 4*p - 6*p - 8*p = 0. Let x(j) be the second derivative of -1/48*j**4 + p + j - 1/4*j**2 - 1/8*j**3. Solve x(s) = 0 for s.
-2, -1
Suppose -u + 2 = 2*h, 0 = 5*h + 5 - 0. Factor y**3 - 4*y**3 - y**5 + y**2 - 3*y**4 + 6*y**u.
-y**2*(y - 1)**3
Let t(x) be the third derivative of -x**6/84 + x**5/105 - 6*x**2. Suppose t(a) = 0. What is a?
0, 2/5
Factor -72/5 - 2/5*n**2 - 24/5*n.
-2*(n + 6)**2/5
Let p(q) be the second derivative of -5*q**4/12 + 5*q**3/2 + 10*q**2 - 15*q. Factor p(d).
-5*(d - 4)*(d + 1)
Factor 3*u**3 - 5*u**3 - 2*u**4 + 4*u**3.
-2*u**3*(u - 1)
Let p(f) be the second derivative of f**6/360 - f**5/90 + f**4/72 + f**2 + f. Let m(d) be the first derivative of p(d). Factor m(r).
r*(r - 1)**2/3
Factor 0*a - 1/3*a**4 - 1/3*a**5 + 2*a**3 + 0 + 0*a**2.
-a**3*(a - 2)*(a + 3)/3
Let p(i) be the third derivative of -i**8/1680 + i**3 - 5*i**2. Let k(d) be the first derivative of p(d). Solve k(t) = 0.
0
Let f(t) be the first derivative of -t**4/16 - t**3/2 - 9*t**2/8 - 29. Suppose f(w) = 0. What is w?
-3, 0
Let t = 13 - 8. Suppose a + 2*d - d = 5, -a + t*d = 13. Factor 4/3*i + 1/3*i**a + 4/3.
(i + 2)**2/3
Let i(q) be the first derivative of -q**5/30 - q**4/6 - 5*q**2/2 - 6. Let d(l) be the second derivative of i(l). Find f, given that d(f) = 0.
-2, 0
Factor 0*t + 1/3*t**3 + 0 - 1/3*t**2.
t**2*(t - 1)/3
Let v(h) be the second derivative of h**4/24 - 5*h**3/6 + 25*h**2/4 + 10*h. Let v(p) = 0. What is p?
5
Let m(r) be the third derivative of -4*r**2 + 0*r - 3/560*r**8 + 0*r**3 - 1/350*r**7 + 0*r**5 + 1/100*r**6 + 0*r**4 + 0. Factor m(d).
-3*d**3*(d + 1)*(3*d - 2)/5
Factor -21/2*s**2 - 1/2*s**4 + 4*s**3 + 9*s + 0.
-s*(s - 3)**2*(s - 2)/2
Factor -15 + 52*v - 2*v - 60*v**2 - 5*v**4 + 12*v**3 + 0*v**4 + 18*v**3.
-5*(v - 3