2/7*q**p + 0*q**2 - 7/3*q**6. Factor o(x).
-2*x**2*(x + 1)*(7*x - 2)**2/7
Let m(s) = s + 16. Let j be m(-13). Suppose -j*l - 9 = 2*h, 4*l = -4*h - 1 - 11. Determine o so that -4/11*o**2 - 2/11*o**4 + 0 + 6/11*o**3 + h*o = 0.
0, 1, 2
Determine x so that -2*x - 14/9*x**2 - 4/9 = 0.
-1, -2/7
Let v be 12/8 + 1*17/(-14). Factor 0 - v*u**5 - 2/7*u + 0*u**4 + 4/7*u**3 + 0*u**2.
-2*u*(u - 1)**2*(u + 1)**2/7
Let b = 17362/23 - 755. Let c = b + 101/69. What is u in c - 2/3*u**2 - 2/3*u = 0?
-2, 1
Suppose 7*l = 5*l + 22. Suppose -l*b**4 + 0*b**5 + 2*b**5 + 7*b**4 = 0. Calculate b.
0, 2
Let w(q) = 3*q**2 - 6*q + 2. Let t be w(2). Let d be 0 + 1 + t/(-3). Let 1/3*s**2 + 0*s - d = 0. What is s?
-1, 1
Let m(u) be the third derivative of u**8/336 + u**7/210 - u**6/120 - u**5/60 - 3*u**2. Factor m(z).
z**2*(z - 1)*(z + 1)**2
Let i be (-6)/(-21) + (-846)/21. Let n be i/(-12)*(-1)/(-5). Find r, given that 1/3*r - n*r**3 + 0 + 0*r**2 + 1/3*r**5 + 0*r**4 = 0.
-1, 0, 1
Let p(t) = -t**4 + t**3 + t**2 + t - 1. Let c(n) = -8*n**4 + 12*n**3 + 4*n - 4. Let d(h) = -c(h) + 4*p(h). Factor d(w).
4*w**2*(w - 1)**2
Find d such that -6*d**4 + d**4 + 15*d**3 - 21*d**3 + 3*d**4 = 0.
-3, 0
Let p(x) be the second derivative of x**7/105 + 2*x**6/25 + 13*x**5/50 + 2*x**4/5 + 4*x**3/15 + 11*x. Factor p(a).
2*a*(a + 1)**2*(a + 2)**2/5
Let b = -29 - -31. Let k(l) be the second derivative of 0 - l**2 - 1/24*l**4 + 1/3*l**3 - b*l. Solve k(v) = 0.
2
Let k = 236 + -236. Solve 0 - 1/4*t**5 + k*t**3 - 1/2*t**2 + 1/2*t**4 + 1/4*t = 0.
-1, 0, 1
Let g = 12 + -12. Let b = 1 - -1. Factor g*n + 0*n**b + 2/9*n**3 + 0.
2*n**3/9
Let l(d) be the first derivative of 4*d**3/3 - 8*d**2 - 1. Factor l(h).
4*h*(h - 4)
Let q(a) be the third derivative of 1/28*a**8 - 19/70*a**7 - 19/20*a**5 + 31/40*a**6 + a**3 - a**2 + 0 + 1/8*a**4 + 0*a. Solve q(i) = 0.
-1/4, 1, 2
Suppose -10*s**5 - 25*s**4 + 25*s**3 + 30*s**2 - 2*s - 13*s - 5*s**2 = 0. What is s?
-3, -1, 0, 1/2, 1
Suppose 32 + 5*g**2 - 4*g**2 - 16 + 32*g - 12*g**3 + 3*g**2 = 0. Calculate g.
-1, -2/3, 2
Let z be ((-45)/12)/5 - 143/(-52). Factor -1/4*j**3 + 1/4*j - 1/4 + 1/4*j**z.
-(j - 1)**2*(j + 1)/4
Let r(t) = -13*t**2 - 17*t - 13. Let v = 0 - 4. Let a(l) = 3*l**2 + 4*l + 3. Let h be (-81)/12*(-24)/(-9). Let w(b) = h*a(b) + v*r(b). What is o in w(o) = 0?
-1
Let c(i) be the second derivative of -i**6/15 + i**5/10 + i**4/6 - i**3/3 - 14*i. Factor c(f).
-2*f*(f - 1)**2*(f + 1)
Let h(q) be the third derivative of q**5/20 + q**4/8 - q**3 - 5*q**2. Suppose h(v) = 0. Calculate v.
-2, 1
Let m be (-478)/474 - 2/6. Let r = -2/237 - m. What is u in -2/3*u**3 + r + 3*u**2 - 4*u = 0?
1/2, 2
Let y be (-1)/(-7) - (-3 - (-44)/14). Determine p so that y - 1/4*p**2 + 1/4*p**4 + 1/4*p - 1/4*p**3 = 0.
-1, 0, 1
Let k(l) be the second derivative of l**7/8820 + l**6/2520 - l**5/210 - l**4/12 - 3*l. Let u(n) be the third derivative of k(n). Let u(y) = 0. Calculate y.
-2, 1
Let k(q) be the first derivative of -3*q**5/5 + 6*q**3 + 12*q**2 + 9*q - 7. Let k(i) = 0. Calculate i.
-1, 3
Let r(d) = 2*d - 1. Let l be r(-3). Let i(k) = -k**2 - 6*k + 10. Let h be i(l). Suppose 32*g**2 + 23*g**3 + 8*g + 14*g**3 + 18*g**4 + 5*g**h = 0. Calculate g.
-1, -2/3, 0
Solve 16/3*l + 4/3*l**2 - 4/3*l**3 - 16/3 = 0.
-2, 1, 2
Let n be (-2)/36*1/((-16)/6). Let q(p) be the third derivative of 0*p + 1/120*p**6 - 1/672*p**8 + 0*p**3 + 0 - n*p**4 + 0*p**7 + 0*p**5 - 2*p**2. Factor q(m).
-m*(m - 1)**2*(m + 1)**2/2
Let o(l) be the second derivative of l**7/105 + l**6/60 - l**5/10 - 5*l**4/12 - 2*l**3/3 + 2*l**2 - 7*l. Let a(d) be the first derivative of o(d). Factor a(n).
2*(n - 2)*(n + 1)**3
Let j(l) be the second derivative of 13/10*l**5 + 1/3*l**3 + 0 + 13/12*l**4 - 3*l + 0*l**2 + 1/2*l**6. Factor j(v).
v*(v + 1)*(3*v + 1)*(5*v + 2)
Suppose 5*v = 3*b - b + 16, -4*v = -16. Determine a, given that b*a**3 - 6*a**3 - a**4 + 3*a**3 = 0.
-1, 0
Let w(n) = n**3 + n**2 + 1. Suppose t = 2 - 3. Let x(l) = 8*l**4 + 16*l**3 + 8*l**2 + 6. Let m(o) = t*x(o) + 6*w(o). Suppose m(g) = 0. Calculate g.
-1, -1/4, 0
Factor 0 - 1/7*g**4 - 3/7*g**2 + 1/7*g + 3/7*g**3.
-g*(g - 1)**3/7
Solve -6*r**3 + r**3 - 128 + r**3 - 40*r**2 - 128*r = 0.
-4, -2
Factor -5*l**2 - 14*l - 5 - 19*l + 23*l.
-5*(l + 1)**2
Let r(w) be the third derivative of w**8/1680 - w**7/280 + w**3/2 - 4*w**2. Let k(o) be the first derivative of r(o). Factor k(a).
a**3*(a - 3)
Let n(d) = d**2 + 9*d - 8. Let f be n(-10). Let l(i) be the third derivative of 1/60*i**4 + 0*i**5 - 1/300*i**6 + 0 + 0*i**3 - i**f + 0*i. Factor l(r).
-2*r*(r - 1)*(r + 1)/5
Let x(a) = -13*a**2 - 2*a - 7. Let g(d) = -7*d**2 - d - 4. Let t(r) = -11*g(r) + 6*x(r). Factor t(h).
-(h - 1)*(h + 2)
Let u(d) be the second derivative of -d**5/130 + d**4/78 + d**3/39 - d**2/13 - 3*d. Factor u(z).
-2*(z - 1)**2*(z + 1)/13
Let m(q) be the third derivative of 1/300*q**5 + 0*q + 4*q**2 + 0*q**3 + 1/60*q**4 + 0. Factor m(o).
o*(o + 2)/5
Let f = 102 - 508/5. Let s be 4*(196/80)/7. Suppose -s*a**3 - f + a**4 + 7/5*a - 3/5*a**2 = 0. Calculate a.
-1, 2/5, 1
Let p = -65 + 456/7. Solve 1/7*x**2 + 0*x + 0 + p*x**4 - 2/7*x**3 = 0 for x.
0, 1
Let a(h) = 2*h**2 - h - 1. Let n be a(-1). Suppose z = -n*z + 9. Factor 0*i**z - 1/3 + 0*i + 2/3*i**2 - 1/3*i**4.
-(i - 1)**2*(i + 1)**2/3
Let h(n) be the first derivative of -3*n**3/2 - 3*n**2/2 - n/2 + 5. Factor h(s).
-(3*s + 1)**2/2
Let o(n) = n - 17. Let k be o(17). Let r(h) be the first derivative of 0*h**3 + 1/4*h**4 + k*h + 0*h**2 - 3. Let r(y) = 0. Calculate y.
0
Suppose -34 = -3*n + n + 2*u, -97 = -5*n + u. Let l be (-2)/40 + 5/n. Find i, given that 0 + l*i**5 - 1/5*i**2 + 1/5*i**4 - 1/5*i**3 + 0*i = 0.
-1, 0, 1
Factor -18 + 2*g**5 - 3*g**4 - 13*g**4 - 76*g**2 + 56*g + 50*g**3 + 0 + 2.
2*(g - 2)**3*(g - 1)**2
Let p(s) be the second derivative of 0*s**2 - 3/10*s**5 - 7/18*s**4 + 0 + 3*s + 2/9*s**3. Solve p(y) = 0 for y.
-1, 0, 2/9
Let g(n) be the first derivative of n**4/2 + 2. Let h be g(1). Suppose 3*p - 3*p + p**3 + p**h = 0. Calculate p.
-1, 0
Let r = 31 + -28. Let d(f) be the second derivative of 0 + 0*f**2 + 1/3*f**r - f + 1/6*f**4. Factor d(b).
2*b*(b + 1)
Suppose -3*y = -5*h + 27, -4*y + 27 = 5*h - 7. Let r be -12 + 12 + 14/h. What is t in 2/3*t - r*t**4 - t**2 - 4*t**3 + 0 = 0?
-1, 0, 2/7
Suppose 0 = 3*b - 5*a - 34, -3*b - a = 4*a + 16. Factor -2*g + 3*g**5 + b*g**4 - 3*g**3 + 2*g + 0*g - 3*g**2.
3*g**2*(g - 1)*(g + 1)**2
Let x(i) be the first derivative of i**5/10 - i**4/6 - i**3/3 + i**2 - 2*i + 1. Let v(b) be the first derivative of x(b). Factor v(p).
2*(p - 1)**2*(p + 1)
Let f be 4/10*5 + 13. Let q be (f/10)/(1/2). Factor q*u**2 + 0*u - 21/2*u**3 + 0.
-3*u**2*(7*u - 2)/2
Let f(u) = 134*u**2 - u - 1. Let n be f(-1). Let z = 672/5 - n. Solve 0*b + z*b**2 - 2/5 = 0.
-1, 1
Suppose 2*q - 13 = -4*k + 3*q, -4*q - 20 = 0. Factor i + 3*i - 4*i**3 - 2*i**4 + k + 0.
-2*(i - 1)*(i + 1)**3
Let n(g) be the first derivative of g**8/2800 - g**7/4200 - g**6/600 + g**5/600 + g**3 - 1. Let m(l) be the third derivative of n(l). Factor m(b).
b*(b - 1)*(b + 1)*(3*b - 1)/5
Let g(n) = n**2 + n + 4. Let l be g(0). Suppose y + 5 = -3*a, a + l*y + 20 = -2*a. Determine q, given that a*q + 0 - 1/2*q**2 = 0.
0
Let a(c) = 11*c - 21. Let r be a(7). Let t be 14/r + (-10)/(-24). Find n, given that 5/6*n**4 + 0*n - 4/3*n**3 - 1/6*n**5 + t*n**2 + 0 = 0.
0, 1, 2
Let i(f) be the third derivative of f**7/6300 - f**6/900 - f**4/4 - f**2. Let h(r) be the second derivative of i(r). Factor h(j).
2*j*(j - 2)/5
Let i = 5 + -3. Let r be 140/63 - i/9. Suppose -z**4 + 2/3*z - 2/3*z**3 + z**r + 0 = 0. Calculate z.
-1, -2/3, 0, 1
Let r be 4/3 + 14/(-21). Factor -r*k**4 - 2*k**3 + 0 - 2*k**2 - 2/3*k.
-2*k*(k + 1)**3/3
Let n = 81 + -565/7. Suppose 2*a**4 + 10/7*a**2 + 18/7*a**3 + n*a + 4/7*a**5 + 0 = 0. Calculate a.
-1, -1/2, 0
Let t(n) be the first derivative of -5*n**8/672 - 2*n**7/105 - n**6/240 + n**5/60 - n**2 + 1. Let s(a) be the second derivative of t(a). What is k in s(k) = 0?
-1, 0, 2/5
Let h be -1 - (-3 + -4 + 3). Solve 4*a**2 - 2*a**3 - a**2 + a + 2*a - h*a**4 - a**3 = 0 for a.
-1, 0, 1
Let l = 10 - 8. Suppose 2*j + 4 - 2 = l*r, -r = -5*j - 1. Factor -1/3*z**2 + 0*z + 0 + 1/3*z**4 + j*z**3.
z**2*(z - 1)*(z + 1)/3
Let g = 7 + -2. Let j(a) be the first derivative of -3/4*a**4 + 0*a - 2 - 1/3*a*