 3/(-3 - (3 + -7)). Let w be 15/(-6) + (-9)/p*-1. Factor h**2 - h**3 - 3/2*h**4 + 1/2 + 3/2*h - w*h**5.
-(h - 1)*(h + 1)**4/2
Let p(g) be the first derivative of -g**4/6 + 9*g**2 + 3*g - 8. Let q(c) be the first derivative of p(c). Let q(y) = 0. Calculate y.
-3, 3
Let w(t) be the first derivative of -t**4/2 - 10*t**3 - 75*t**2 - 250*t - 74. Suppose w(f) = 0. What is f?
-5
Let p(j) be the third derivative of j**6/360 - 5*j**5/36 - j**4/72 + 25*j**3/18 - 141*j**2. Find c, given that p(c) = 0.
-1, 1, 25
Let x(a) be the third derivative of -a**6/540 - a**5/90 - a**4/54 + a**2 + 53. Factor x(o).
-2*o*(o + 1)*(o + 2)/9
Let r(j) be the first derivative of 0*j**2 + 1/3*j**3 + 1/480*j**5 + 0*j - 1/64*j**4 - 3 + 1/2880*j**6. Let u(g) be the third derivative of r(g). Factor u(l).
(l - 1)*(l + 3)/8
Let u be (-3790)/45 + (-4)/(-18). Let s = -81 - u. Solve 2/5*y**s - 8/5 + 2/5*y**2 - 8/5*y = 0 for y.
-2, -1, 2
Let v(b) = b**2 + 2*b + 5. Let k be v(0). Suppose 10 = 4*g - 2*g. Factor 9*q**g + 4*q**2 - 12*q**4 + 15*q + 2*q**2 - 12*q**3 - 12*q**k + 6.
-3*(q - 1)*(q + 1)**3*(q + 2)
Let v(x) be the second derivative of x**4/4 + 4*x**3 + 24*x**2 - 49*x. Factor v(f).
3*(f + 4)**2
Let u(t) = 92*t + 95. Let x be u(-1). Let l(f) be the third derivative of -1/132*f**4 + 0*f**5 + 0*f**x + 0 + 1/660*f**6 + 0*f - f**2. Factor l(v).
2*v*(v - 1)*(v + 1)/11
Let 8/3 - 8/9*m**3 - 26/9*m**2 - 8/9*m = 0. What is m?
-2, 3/4
Let t(p) be the first derivative of p**4/8 + p**3/2 - p**2/4 - 3*p/2 + 33. Factor t(f).
(f - 1)*(f + 1)*(f + 3)/2
Suppose 4*u + u - 100 = 0. Let g = -18 + u. Factor s**2 + s**g + 1 - 4*s + 1.
2*(s - 1)**2
Let j(k) be the second derivative of k**5/70 - 3*k**4/14 + 8*k**3/21 + 37*k. Factor j(h).
2*h*(h - 8)*(h - 1)/7
Let h = -68 + 71. Solve -5*r + 5*r**h + 7 + 0 + 35*r**2 - 12 - 30*r**4 = 0.
-1, -1/3, 1/2, 1
Let v(w) be the first derivative of -4/3*w**3 - 2*w**2 + w**4 + 8 + 4*w. Factor v(d).
4*(d - 1)**2*(d + 1)
Let i = -9165 + 9167. Factor -1/5*a**4 - 1/5 + 0*a**3 + 2/5*a**i + 0*a.
-(a - 1)**2*(a + 1)**2/5
Let p(a) be the first derivative of -a**8/3360 - a**7/560 - a**6/720 + a**5/80 + a**4/24 + 4*a**3/3 - 15. Let c(k) be the third derivative of p(k). Factor c(i).
-(i - 1)*(i + 1)**2*(i + 2)/2
Let i(n) be the second derivative of n**6/30 + 19*n**5/10 + 73*n**4/12 + 6*n**3 - 366*n. Suppose i(r) = 0. Calculate r.
-36, -1, 0
Suppose 7 + 2 = 5*y + 3*o, -5*o = 10. Suppose 3*m = 4*m - 3, -q = -y*m + 5. Determine d so that -d - 4 - 3*d - 2*d**2 + q = 0.
-2, 0
Let o(d) be the third derivative of d**5/210 + d**4/12 + 2*d**3/7 + 4*d**2 - 10*d. Factor o(x).
2*(x + 1)*(x + 6)/7
Let p(v) be the first derivative of 3*v**4/16 - 3*v**3/4 - 3*v**2/8 + 9*v/4 - 96. Find z, given that p(z) = 0.
-1, 1, 3
Let j(o) = o + 1. Let q be j(7). Factor -q*i**2 - 4*i**2 + 13*i**2 + 144 + 24*i.
(i + 12)**2
Find d such that 2/3*d - 1/3*d**5 - d**4 + d**2 + 0 - 1/3*d**3 = 0.
-2, -1, 0, 1
Suppose 0 = -2*d + 3*s + 12, -6*s - 2 = -5*s. Suppose 2*q + 5*h - 24 = -q, 3*h = 4*q - d. Solve -2/3*l + 0*l**2 + 0 + 2/3*l**q = 0.
-1, 0, 1
Suppose -10*s = 19*s + 41 - 99. Factor -8 + 16/3*n - 2/3*n**s.
-2*(n - 6)*(n - 2)/3
Let f(x) = 4*x**2 + 15*x - 2. Let h be f(-4). Find y, given that 20*y - 17 + 2 - 3*y**2 - 3*y**h + y**2 = 0.
1, 3
Let q(s) be the first derivative of -7*s**4/16 + 3*s**3/2 + 9*s**2/8 + 84. Factor q(i).
-i*(i - 3)*(7*i + 3)/4
Let j(a) be the third derivative of -1/60*a**6 - 23*a**2 + 1/30*a**5 + 0 - 1/3*a**3 + 1/12*a**4 + 0*a. Factor j(n).
-2*(n - 1)**2*(n + 1)
Let a be -4*-1*(-9)/(-6). Let f = a + 5. Find w, given that 9*w**4 - 6*w**2 + 9 + 3*w**5 + f - 9*w + 6*w**3 - 23 = 0.
-1, 1
Let t(b) be the first derivative of b**6/24 + b**5/6 - 5*b**4/8 + b**2 + 11. Let d(h) be the second derivative of t(h). Factor d(f).
5*f*(f - 1)*(f + 3)
Let f be 740/16 + 3/(-12). Let g be f/69*(0 - (-3)/10). Factor -g*y**4 + y**3 - 2/5 + 7/5*y - 9/5*y**2.
-(y - 2)*(y - 1)**3/5
Let l(w) be the second derivative of 4*w**7/105 - w**6/30 - 2*w**5/15 + w**4/6 - 2*w**2 - 8*w. Let f(k) be the first derivative of l(k). Factor f(c).
4*c*(c - 1)*(c + 1)*(2*c - 1)
Let v(j) = 2*j**2 + 360*j + 6483. Let b(d) = 3*d**2 + 720*d + 12967. Let f(s) = -3*b(s) + 7*v(s). Factor f(t).
5*(t + 36)**2
Let -638/9*x - 320/9 + 2/9*x**3 - 316/9*x**2 = 0. What is x?
-1, 160
Find u such that 3/2*u**4 + 3/2*u + 9/2*u**2 + 0 + 9/2*u**3 = 0.
-1, 0
Let c(i) be the first derivative of 1/18*i**4 - 7/9*i**2 - 8/9*i + 24 - 4/27*i**3. Factor c(r).
2*(r - 4)*(r + 1)**2/9
Factor 0 + 4/9*y + 2/9*y**4 - 2/3*y**2 + 0*y**3.
2*y*(y - 1)**2*(y + 2)/9
Let u(i) be the first derivative of i**6/20 + 9*i**5/40 + 3*i**4/8 + i**3/4 - 6*i - 47. Let l(y) be the first derivative of u(y). Factor l(p).
3*p*(p + 1)**3/2
Let r be ((-9)/24)/(13/(-60) - -1). Let z = 1/47 - r. Factor 0 - 1/2*o**4 + o**3 + 0*o - z*o**2.
-o**2*(o - 1)**2/2
Let y = 225 + -226. Let p be y - 4/(-3) - 25/225. Factor -4/9*x**2 - 2/9*x + p*x**4 + 4/9*x**3 - 2/9*x**5 + 2/9.
-2*(x - 1)**3*(x + 1)**2/9
Factor 48 + 81*r + 32*r - 3*r**3 - 77*r.
-3*(r - 4)*(r + 2)**2
Let h(m) be the third derivative of 0*m - 4/75*m**5 + 0*m**3 - 4/45*m**4 - 1/100*m**6 - 1/1575*m**7 - 20*m**2 + 0. Factor h(w).
-2*w*(w + 1)*(w + 4)**2/15
Let f(o) be the first derivative of -45/4*o**4 + 80/3*o**3 + 10*o**2 - 8 + 0*o. Factor f(q).
-5*q*(q - 2)*(9*q + 2)
Suppose 0*w + 2*w = 5*v + 62, 5*w - v = 109. Let i be (-6)/(-3 - -1)*w/27. Suppose -5*q - 3 - 1/3*q**3 - i*q**2 = 0. What is q?
-3, -1
Factor 4*a**4 + 41*a + 92*a**3 + 480*a**2 - 164*a - 453*a.
4*a*(a - 1)*(a + 12)**2
Suppose -9 = -5*x - 4*o, 3*o - 2*o = 1. Let q be (17/68)/((2/x)/2). Factor 0*b + 1/4 - q*b**2.
-(b - 1)*(b + 1)/4
Let h(q) = 4*q**2 - 2*q - 10 + 7*q + q**2. Let p(a) = 3*a**2 + 2*a - 5. Let z(n) = 2*h(n) - 5*p(n). Factor z(y).
-5*(y - 1)*(y + 1)
Let p = 37 + -35. Factor -6 - 7*y**3 + 3*y**3 + 8*y**2 + 8*y**3 - 4*y - p*y**4.
-2*(y - 3)*(y - 1)*(y + 1)**2
Let n(m) be the first derivative of m**5/5 + 5*m**4/2 - 43*m**3/3 - 26*m**2 + 184. Factor n(z).
z*(z - 4)*(z + 1)*(z + 13)
Let c be (8/(-8))/(0 + -1). Suppose -3*z - 2 = -4*t, -3*z - c + 3 = -2*t. Factor 6*i - 6 - 3/2*i**z.
-3*(i - 2)**2/2
Let g be 6/45*20/24. Let t(j) be the first derivative of 2/3*j**2 + g*j**6 + 14/9*j**3 + 3/2*j**4 + 0*j + 2/3*j**5 - 5. Let t(f) = 0. What is f?
-2, -1, 0
Let z = 8 - 6. Let -o**2 - z + 8 - o + 3*o - 7 = 0. What is o?
1
Suppose -2*m + 73 = -5*i, 3*i = -3*m + m + 81. Let r be -1 + 9/2 - 117/m. Factor 0 + r*k**4 + 1/2*k**3 - 2*k - 2*k**2.
k*(k - 2)*(k + 1)*(k + 2)/2
Let b = 99 + -84. Let x(k) = 2*k - 25. Let l be x(b). Factor -1/4*a**2 + 5/4*a**4 - 3/4*a**3 - 1/2*a**l + 1/4*a + 0.
-a*(a - 1)**3*(2*a + 1)/4
Let b(y) = y - 12. Let t be b(10). Let l be 4*(3 + (-4 - t)). Suppose 3*v**4 - 18*v**l - 12*v + 2*v**2 + 36*v**3 - 14*v**2 + 3*v**3 = 0. What is v?
-2/5, 0, 1, 2
Let c be 15/(-105)*7*(0 + 0). Suppose c - 2/3*t + 1/3*t**2 = 0. What is t?
0, 2
Suppose 0 = -2*w + 5 - 19. Let x = w - -10. Find f, given that -3*f**3 - 5 + x*f**5 + 5 = 0.
-1, 0, 1
Let y(u) be the second derivative of 0 + 4/5*u**2 - 22*u + 3/10*u**3 + 1/60*u**4. Factor y(i).
(i + 1)*(i + 8)/5
Let n(t) be the second derivative of -t**7/14 - 9*t**6/5 - 291*t**5/20 - 36*t**4 - 32*t**3 - 24*t + 3. Solve n(d) = 0 for d.
-8, -1, 0
Let r(t) = 145*t**2 - 60*t - 680. Let f(s) = 7*s**2 + s - 1. Let j(v) = -20*f(v) + r(v). Solve j(k) = 0 for k.
-6, 22
Factor 846*v + 81*v**2 + 7079 + 390 + 1341*v + 4673 + 7541 + v**3.
(v + 27)**3
Find c such that -16/3*c**2 + 0 - 7/3*c**3 - 4*c - 1/3*c**4 = 0.
-3, -2, 0
Let v(w) = w**3 - w**2 - w + 1. Let n(d) = -7*d + 3*d - 6 + d - 11*d + d**3 - 8*d**2. Let b be ((-2)/2)/(2 - 1). Let i(m) = b*n(m) + 2*v(m). Factor i(o).
(o + 2)**3
Suppose 5*j - 2*d + 6*d = -354, -j = -2*d + 68. Let u be (-392)/j - (-4)/10. Factor -14/3*w + u*w**2 + 4/3 - 10/3*w**3 + 2/3*w**4.
2*(w - 2)*(w - 1)**3/3
Let b be 8 + (0 + -1 - 2). Factor -12*w**5 - 55*w**4 + 5*w - 5*w**2 - 45*w**3 + 5*w**b - 13*w**5 + 0*w**2.
-5*w*(w + 1)**3*(4*w - 1)
Suppose 0 = 3*a + 3*u - 15 + 42, -u = 5*a + 57. Let q be (1/4 - 9/a) + 1. Factor -1/3*o + 0 + 1/3*o**q.
o*(o - 1)/3
Let g(a) be the second derivative of -a**6/15 + 11*a**5/10 + 13*a**4/2 + 41*a**3/3 + 14*a**2 - a + 84. Find r, given that g(r) = 0.
-1, 14
Let j(g) = -5*g - 17*g + 4*g +