ose -5*l - 2*l = -l. Factor 5/4*a**4 + l*a + 1/2*a**3 + 0*a**2 + 0.
a**3*(5*a + 2)/4
Let v be 2/(-1 + 5)*88. Let i be (-2)/(-11) - 8/v. Factor -1/2*r**4 + i*r + r**3 - 1/2*r**2 + 0.
-r**2*(r - 1)**2/2
Let d(b) be the second derivative of 0*b**2 + 1/16*b**4 + 1/8*b**3 - 4*b + 0. Factor d(k).
3*k*(k + 1)/4
Let o(p) be the third derivative of -5*p**8/672 + 3*p**7/140 - p**6/80 - p**5/120 + 8*p**2. Suppose o(c) = 0. What is c?
-1/5, 0, 1
Let h(u) be the second derivative of u**4/60 + u**3/30 - u**2/5 - 8*u. What is j in h(j) = 0?
-2, 1
Suppose -180 + 35 = -5*a. Factor -2*m**3 + a*m - 35*m + 54 + 18*m**2 - 48*m.
-2*(m - 3)**3
Let x be 7/(-1) + (-6)/6. Let s be (0 + 0)*(x - -9). Factor 0*h**2 + 1/2*h**5 + 1/2*h + 0 + s*h**4 - h**3.
h*(h - 1)**2*(h + 1)**2/2
Let c(v) = 13*v**4 - 8*v**3 - 5*v**2 + 9*v - 9. Let o(q) = 3*q**4 - 2*q**3 - q**2 + 2*q - 2. Let w(u) = 4*c(u) - 18*o(u). Solve w(i) = 0.
0, 1
Solve 2*t - 3*t**2 + t + 0*t**2 = 0.
0, 1
Determine g so that 4*g**2 + 6*g + 4*g**3 - 2*g + 4*g**2 = 0.
-1, 0
Let a(n) be the first derivative of 2*n**3/45 - n**2/15 - 10. Factor a(o).
2*o*(o - 1)/15
Let i(k) be the first derivative of k**7/1155 - k**6/330 + k**5/330 + k**2 - 1. Let b(h) be the second derivative of i(h). Factor b(t).
2*t**2*(t - 1)**2/11
Let w(o) be the second derivative of 112*o**6/75 + 4*o**5 + 37*o**4/10 + 5*o**3/3 + 2*o**2/5 - 4*o. Find x, given that w(x) = 0.
-1, -2/7, -1/4
Let i(m) = m**5 + m**3 + m**2 + m + 1. Let t(f) = -21*f**5 + 66*f**4 - 105*f**3 + 54*f**2 - 18*f - 6. Let g(u) = 6*i(u) + t(u). Find z such that g(z) = 0.
0, 2/5, 1, 2
Let p(k) = 6*k**2 + 29*k + 23. Suppose 2*a = -3*a + 5, 2*a + 134 = -4*u. Let i(q) = -q**2 - 5*q - 4. Let v(x) = u*i(x) - 6*p(x). Find r such that v(r) = 0.
-1
Let p(w) be the third derivative of w**8/448 + w**7/40 + 9*w**6/80 + w**5/4 + w**4/4 - 12*w**2. Determine j so that p(j) = 0.
-2, -1, 0
Let c(p) = -p - 3. Let x be c(-5). Let d be (-16)/(-40) - 56/(-10). Find n such that -6*n - x*n**3 - d*n**2 - 1 + 0*n**2 - 1 = 0.
-1
Let y(z) be the first derivative of -1/21*z**3 - 7 + 0*z - 1/14*z**2. Factor y(s).
-s*(s + 1)/7
Let f(u) be the third derivative of u**5/5 + 11*u**4/8 - 3*u**3/2 - 64*u**2. Suppose f(w) = 0. Calculate w.
-3, 1/4
Suppose 2*q + 3 = 3*d + 13, -d - 25 = -5*q. Suppose -3*h = 5*t - 21, -2*h - 18 = -2*t - d. What is y in 4 + 0*y**2 + y**2 + y + y - t*y = 0?
2
Suppose -3*q - 5*y = -49, -4*q + 2 = 5*y - 60. Let r(i) = -i**2 - 5*i + 2. Let p be r(-5). Determine w so that 13 - q - 2*w - p*w**4 + 2*w**2 + 2*w**3 = 0.
-1, 0, 1
Let f = -26/5 + 103/15. Let d(w) be the first derivative of 1/2*w**4 + f*w**3 + 0*w + 3 - w**2 - w**5. Suppose d(a) = 0. Calculate a.
-1, 0, 2/5, 1
Let m(o) be the first derivative of 0*o - 1/6*o**3 + 3 - 1/4*o**4 - 1/10*o**5 + 0*o**2. Solve m(w) = 0 for w.
-1, 0
Let q(f) = -18*f**3 - 3*f**2 + 12*f + 9. Let j(n) = -6*n - 4 + 2*n**2 - n**2 + 9*n**3 + 0*n**2. Let o(c) = 9*j(c) + 4*q(c). Factor o(t).
3*t*(t - 1)*(3*t + 2)
Let x be (-38)/(-8) - 7/(-28). Determine o, given that 1/5*o**4 - 1/5*o - 2/5*o**2 + 1/5 - 1/5*o**x + 2/5*o**3 = 0.
-1, 1
Let m(n) be the second derivative of -n**5/35 - n**4/42 + n**3/21 - 15*n. Determine z so that m(z) = 0.
-1, 0, 1/2
Let i(o) be the first derivative of o**6/16 - 21*o**5/40 + 57*o**4/32 - 25*o**3/8 + 3*o**2 - 3*o/2 + 21. Let i(s) = 0. What is s?
1, 2
Let k(g) be the third derivative of -g**6/24 + 5*g**4/24 - 16*g**2. Factor k(v).
-5*v*(v - 1)*(v + 1)
Let x be (-1081)/10200 + (-10)/(-85). Let l(v) be the third derivative of 0*v**3 + 1/210*v**7 + 1/150*v**5 + 0 + v**2 - x*v**6 + 0*v**4 + 0*v. Factor l(k).
k**2*(k - 1)*(5*k - 2)/5
Let h(c) = -c**5 + c**3 - c**2 + c + 1. Let p(q) = 8*q**5 - 4*q**4 - 6*q**3 + 10*q**2 - 8*q - 6. Let s(l) = 6*h(l) + p(l). Factor s(w).
2*w*(w - 1)**3*(w + 1)
Let o(g) be the first derivative of -1/18*g**4 - 3 - 4/9*g**3 - 16/9*g - 4/3*g**2. Factor o(b).
-2*(b + 2)**3/9
Let q be (-17)/85*10/(-6). Factor -1/3 + q*x**4 + 2/3*x - 2/3*x**3 + 0*x**2.
(x - 1)**3*(x + 1)/3
Let o(z) = z**2 + 10*z + 9. Suppose 3*v + y = -22 - 7, 5*v + 35 = 5*y. Let u be o(v). Solve 4/3*p**3 + 0*p**2 + 10/3*p**5 + u*p + 0 + 14/3*p**4 = 0 for p.
-1, -2/5, 0
Let c be 2*(-4)/(-20) + 52/70. Factor c + 2/7*i**2 + 8/7*i.
2*(i + 2)**2/7
Let s(b) be the second derivative of -b**7/105 + b**6/75 + b**5/50 - b**4/30 - 2*b. Factor s(f).
-2*f**2*(f - 1)**2*(f + 1)/5
Suppose -4*f + 36 = 3*b, 2*b + 5 + 39 = 3*f. Let -4*x**4 - 20*x - 12*x**2 - f*x**3 + 0*x**2 + 16*x = 0. What is x?
-1, 0
Suppose 0*h = 5*h + 2*u + 8, -5*h + 2*u - 12 = 0. Let w be (h/4)/((-1)/2). Factor 45*m - 45*m - w + m**2.
(m - 1)*(m + 1)
Suppose f + k = 5*k - 3, -4*k = 0. Let s be (1/4)/(f/(-32)). Find n such that -s*n - 10/3*n**3 - 2/3*n**4 + 0 - 16/3*n**2 = 0.
-2, -1, 0
Suppose -2*x + 12 = x. Solve 21*k**3 - 6*k + 9*k**2 - 15*k**5 + 2*k**5 - 9*k**x - 2*k**5 = 0 for k.
-1, 0, 2/5, 1
Let v(p) be the first derivative of 2*p**6/3 + 12*p**5/5 + 3*p**4 + 4*p**3/3 + 1. Factor v(a).
4*a**2*(a + 1)**3
Let j(x) be the second derivative of 3*x**7/280 - x**6/40 + x**5/60 - x**2 - x. Let h(p) be the first derivative of j(p). Determine m so that h(m) = 0.
0, 2/3
Let y(f) be the first derivative of 0*f**2 + 0*f**3 - 2 - 1/6*f**4 + 1/5*f**5 - 2*f. Let o(j) be the first derivative of y(j). Factor o(i).
2*i**2*(2*i - 1)
Let a(d) = -5*d**2 + 7*d - 6. Let x(f) = 4*f**2 - 6*f + 5. Let m(i) = 5*a(i) + 6*x(i). Determine z, given that m(z) = 0.
-1, 0
Let b(l) be the third derivative of l**8/70560 + l**7/17640 + l**5/30 - l**2. Let m(y) be the third derivative of b(y). Let m(v) = 0. Calculate v.
-1, 0
Suppose -5*o + 2*l + 16 = 0, -5*o - l - l = -4. Find v such that 1 - 5*v - o*v**2 - 5 - v = 0.
-2, -1
Let x(q) = -12*q + 1. Let k be x(-1). Suppose 3*z = -l + 5, 0 = 5*l + 4*z - z - k. Factor 0*t**5 + l*t**5 + t + 6*t**3 - 4*t**2 - t**5 - 4*t**4.
t*(t - 1)**4
Let j(c) = 5*c**3 + 36*c**2 + 46*c + 4. Let r(s) = -s**3 - 7*s**2 - 9*s - 1. Let b(h) = -6*j(h) - 33*r(h). Factor b(d).
3*(d + 1)**2*(d + 3)
Let f = -5731/21 - -273. Let b(y) be the first derivative of 2/7*y**2 + 1 - 2/7*y - f*y**3. Find x such that b(x) = 0.
1
Let q(g) be the second derivative of -1/20*g**5 + 1/6*g**3 + 3*g + 1/12*g**6 + 0*g**2 + 0 - 5/24*g**4. Factor q(z).
z*(z - 1)*(z + 1)*(5*z - 2)/2
Suppose -12 = -5*w + 2*w. Suppose n + 2 = w. Factor -i**3 + n*i - i**4 - i + 2*i**2 - i**2.
-i*(i - 1)*(i + 1)**2
Let q be 40/30*3/2. Let a(u) be the second derivative of 0 + 2*u + 1/8*u**3 - 3/40*u**5 + 5/48*u**4 - 1/4*u**q. Factor a(n).
-(n - 1)*(2*n - 1)*(3*n + 2)/4
Let b(w) be the second derivative of -w**2 + 0 - 1/2*w**3 - 2*w - 1/12*w**4. Determine g so that b(g) = 0.
-2, -1
Let m be -1 + 2 + 0 + (-8)/24. Solve m*y + 0 + y**3 - 5/3*y**2 = 0 for y.
0, 2/3, 1
Let j be (4/10)/((-2)/(-30)). Let k be (1 - 3/j)*8. Factor 0 + 0*o + 0*o**2 - 2/7*o**k + 2/7*o**3.
-2*o**3*(o - 1)/7
Let q = -4 - -23. Factor -4*t - 10 - 11*t + q*t**2 + 2*t**2 + 4.
3*(t - 1)*(7*t + 2)
Let g = 4/95 - -3/19. What is c in g - 1/5*c**3 - 3/5*c + 3/5*c**2 = 0?
1
Suppose 20 = -4*o - 5*f - 0, 5*o - f = 4. Factor i**2 + 15/4*i**3 - i + o.
i*(3*i + 2)*(5*i - 2)/4
Let -2/11*j + 4/11 - 6/11*j**2 = 0. Calculate j.
-1, 2/3
Let s(i) be the third derivative of -1/240*i**6 - 1/240*i**5 + 0 - 2*i**2 + 0*i**4 - 1/840*i**7 + 0*i + 0*i**3. Suppose s(z) = 0. Calculate z.
-1, 0
Let o = 39 - 36. Suppose -49 + 14 = -5*d. Find y, given that 0*y + 0 + 1/2*y**2 + 1/4*y**o - d*y**5 - 5*y**4 = 0.
-1/2, 0, 2/7
Find c, given that -4000/3*c + 200*c**2 + 10000/3 - 40/3*c**3 + 1/3*c**4 = 0.
10
Let z be (2 - 4)/(2/8). Let w(x) = -x**2 - 8*x + 2. Let m be w(z). Factor -m - p**2 + 2.
-p**2
Let n(y) be the third derivative of 0*y - y**2 + 0 - 3/20*y**5 - 1/4*y**4 + 0*y**3. Find r, given that n(r) = 0.
-2/3, 0
Let x(i) = -4*i - i - i**3 + 4*i**4 + 6*i - i**2 + 3*i**2. Let p(n) = -7*n**4 + 2*n**3 - 3*n**2 - 2*n. Let z(k) = -3*p(k) - 5*x(k). Factor z(v).
v*(v - 1)**2*(v + 1)
Let m = 11 + -9. Let j(h) be the second derivative of 0 + 2*h + 0*h**m + 1/20*h**6 - 1/12*h**3 - 1/8*h**4 + 1/40*h**5. Factor j(y).
y*(y - 1)*(y + 1)*(3*y + 1)/2
Let d(a) be the second derivative of a**5/12 + 55*a**4/36 + 175*a**3/18 + 125*a**2/6 + 12*a. Factor d(p).
5*(p + 1)*(p + 5)**2/3
Let i(u) = -18*u + 6. Let q be i(2). Let p be 102/q + (2