**8/84 - 38*h**7/735 + h**6/35 + 4*h**5/15 - 4*h**4/21 - 2*h**2. Suppose a(f) = 0. Calculate f.
-2, 0, 2/7, 1
Suppose -16/7*q**3 + 32/7*q**4 - 2/7*q - 2*q**2 + 0 = 0. Calculate q.
-1/4, 0, 1
Let d(u) be the third derivative of -u**5/12 - 22*u**2. Solve d(g) = 0.
0
Let p = 24 - 19. Let d(c) be the second derivative of -1/6*c**3 + 2*c + 0*c**6 - 1/42*c**7 + 0*c**4 + 1/10*c**p + 0*c**2 + 0. Determine j so that d(j) = 0.
-1, 0, 1
Let a = -305 + 305. Solve 1/3*o**4 + a - 1/3*o**2 + 0*o + 0*o**3 = 0.
-1, 0, 1
Let h(i) = 10*i**4 - 6*i**3 - 20*i**2 + 11*i - 5. Let q(r) = 11*r**4 - 6*r**3 - 19*r**2 + 10*r - 4. Let s(d) = 4*h(d) - 5*q(d). Factor s(v).
-3*v*(v - 1)*(v + 1)*(5*v - 2)
Let x be -2 + 9 - (6 - 1). Let -1/4*m**x - 3/4*m - 1/2 = 0. Calculate m.
-2, -1
Suppose 0*u = -3*z - 2*u + 17, -3*z = -2*u - 1. Factor z*t**4 - 5*t**3 + 3*t + 3*t - t**2 - t - 2.
(t - 1)**2*(t + 1)*(3*t - 2)
Let m(x) = x**4 - 7*x**3 + 6*x**2. Let n(f) = f**4 - 4*f**3 + 3*f**2. Let r(p) = 2*m(p) - 5*n(p). Determine k so that r(k) = 0.
0, 1
Let y = -2/25 + 16/75. Let l(c) be the first derivative of 0*c**2 + y*c**3 - 1/5*c - 1/25*c**5 + 0*c**4 - 5. Factor l(f).
-(f - 1)**2*(f + 1)**2/5
Let c be -3 + ((-2)/7 - 444/(-84)). Let l(u) = -u**2 - 4*u + 5. Let b be l(-5). Factor b - z**c - z**3 - 1/3*z**4 - 1/3*z.
-z*(z + 1)**3/3
Let u(x) = -2*x - 6. Let t be u(-5). Factor -2 - n**4 + 1 + 0*n**2 + t*n**2 - 2*n**2.
-(n - 1)**2*(n + 1)**2
Factor 0 + 4/9*o + 2/9*o**2.
2*o*(o + 2)/9
Let z(h) = -15*h**3 + 54*h**2 - 36*h - 18. Let n(l) = 1. Let i(m) = 6*n(m) - z(m). Factor i(t).
3*(t - 2)**2*(5*t + 2)
Let m be (1 + 6)*(-2)/(-7). Factor -2*r**3 + 2*r**5 - m*r**4 + 2*r**2 + 0*r**3 + 0*r**5.
2*r**2*(r - 1)**2*(r + 1)
Let d(p) be the third derivative of -1/560*p**8 + 0 + 0*p**4 - 4*p**2 + 1/100*p**5 + 0*p + 1/200*p**6 + 0*p**3 - 1/350*p**7. Let d(m) = 0. What is m?
-1, 0, 1
Solve 4*z + 0*z**2 + z**2 - z**2 + 4*z**2 = 0 for z.
-1, 0
Let u(k) = k**3 - 12*k**2 + 2. Let r be u(12). Suppose 0 = f + r*f. Determine l, given that 2/9*l + 2/9*l**2 + f = 0.
-1, 0
Let -3 - 1/2*l**2 - 5/2*l = 0. What is l?
-3, -2
Let q(x) be the third derivative of x**6/420 + x**5/42 + x**4/12 + x**3/7 - 17*x**2. Determine s so that q(s) = 0.
-3, -1
Let a(o) be the third derivative of -o**6/780 - o**5/195 - o**4/156 - 20*o**2. Factor a(g).
-2*g*(g + 1)**2/13
Suppose q = 21 - 17. Factor -y**3 + 0 - 1/3*y**q - y**2 - 1/3*y.
-y*(y + 1)**3/3
Let f(c) be the third derivative of -1/20*c**6 + 0*c + 0*c**3 - 1/105*c**7 - 2*c**2 - 1/12*c**4 - 1/10*c**5 + 0. Suppose f(h) = 0. What is h?
-1, 0
Let v(p) be the third derivative of -1/300*p**6 - 1/150*p**5 + 1/60*p**4 + 0*p + p**2 + 1/15*p**3 + 0. What is c in v(c) = 0?
-1, 1
Let m = -7 + 0. Let j = m + 9. Factor 0 - 2/7*z**j + 2/7*z.
-2*z*(z - 1)/7
Suppose 0 = -14*a - 0*a + 28. Factor -f - 3/5*f**a - 1/5 + 9/5*f**3.
(f - 1)*(3*f + 1)**2/5
Let b(w) be the second derivative of -w**4/9 + 4*w**3/9 - 2*w**2/3 - 3*w. Factor b(c).
-4*(c - 1)**2/3
Suppose -3*b - 8 = 2*s, s - b = 4 - 3. Let m(a) = -5*a**3 - 2*a**2 + 7*a. Let r(i) = i**3 - i. Let k(c) = s*m(c) - 6*r(c). Determine t so that k(t) = 0.
0, 1
Suppose -7*m = -5*m, t + 3*m - 2 = 0. Solve 0*g - 1/3 + 1/3*g**t = 0 for g.
-1, 1
Find z, given that -9*z**5 - 186/7*z**4 + 132/7*z + 162/7*z**2 - 69/7*z**3 + 24/7 = 0.
-2, -1, -2/3, -2/7, 1
Let t(i) = -i**2 - 3*i - 1. Let v be t(-3). Let h be (v/(-3))/((-2)/(-18)). Let -2*k**3 - k**2 - h*k**3 - k**2 = 0. What is k?
-2/5, 0
Suppose -12 + 10*g + 31*g**4 + 53*g**4 + 171*g**2 - 255*g**3 + 2*g = 0. Calculate g.
-1/4, 2/7, 1, 2
Let g(m) be the second derivative of -m**7/14 + m**6/10 + 3*m**5/10 - m**4/2 - m**3/2 + 3*m**2/2 - 7*m. Factor g(y).
-3*(y - 1)**3*(y + 1)**2
Suppose -z**3 + 0 + 0*z**2 + 0*z + 1/2*z**4 + 1/2*z**5 = 0. What is z?
-2, 0, 1
Let b = 24 - 24. Suppose -7*x + 5*x + 8 = b. Factor 0 - 2/5*g**2 + 4/5*g**3 - 2/5*g**x + 0*g.
-2*g**2*(g - 1)**2/5
Let u(i) = i**3 - 3*i**2 + 4*i - 2. Let j be u(2). Let o be (-1 + 1)*(-1 + j). Determine q, given that o*q - 2/3*q**3 + 0*q**2 + 0 + 2/3*q**4 = 0.
0, 1
Suppose 2/11*y**2 + 8/11 - 8/11*y = 0. What is y?
2
Let w be 0 + (3 - 5 - 1). Let r(o) = -5*o**2 + o + 1. Let c(t) = -4*t**2 + 2. Let n(b) = w*c(b) + 2*r(b). Factor n(d).
2*(d - 1)*(d + 2)
Let x(b) = -b**5 + b**4 + b**2 + b - 1. Let f(l) = -15*l**5 - 41*l**4 - 17*l**3 - 3*l**2 - l + 1. Let r(z) = -f(z) - x(z). Find n such that r(n) = 0.
-2, -1/4, 0
Let a(b) = -13*b**4 + 19*b**3 - 3*b**2 - 29*b + 11. Let c(y) = -20*y**4 + 28*y**3 - 4*y**2 - 44*y + 16. Let m(f) = 8*a(f) - 5*c(f). Factor m(l).
-4*(l - 2)*(l - 1)**2*(l + 1)
Let h(w) = -w**3 - w**2 + 1. Let i(j) = -7*j**3 - 4*j**2 + 3*j + 4. Let a(l) = -4*h(l) + i(l). What is m in a(m) = 0?
-1, 0, 1
Let z(v) be the first derivative of v**8/168 - v**6/30 + v**4/12 + 7*v**2/2 - 2. Let u(r) be the second derivative of z(r). Factor u(k).
2*k*(k - 1)**2*(k + 1)**2
Let o(u) be the first derivative of u**6/300 - u**5/150 - u**4/60 + u**3/15 - u**2/2 + 3. Let v(i) be the second derivative of o(i). Factor v(m).
2*(m - 1)**2*(m + 1)/5
Let k(j) = -j**3 - j**2 - j - 3. Let b(c) be the second derivative of c**5/4 + c**4/2 + c**3 + 8*c**2 - c. Let p(t) = -4*b(t) - 22*k(t). Solve p(n) = 0.
-1, 1
Find s, given that -180/7*s**2 + 0 - 675/7*s**3 - 12/7*s = 0.
-2/15, 0
Let t(w) = -w**4 + w**3 + 5*w**2 - w. Let l(a) = -4*a**4 + 5*a**3 + 21*a**2 - 5*a + 1. Let h(c) = 2*l(c) - 9*t(c). Determine p, given that h(p) = 0.
-2, -1, 1
Let v be 1/3 - 20/(-12). Factor 8*s**3 + 1 + 9*s**2 + 2*s**4 + 1 - 2*s + 10*s + 3*s**v.
2*(s + 1)**4
Let h be (-1183)/(-441) + (0 - 1). Let a = -10/9 + h. Find w, given that 4/7*w**3 + 2/7*w**2 + 0 + 0*w - a*w**5 - 2/7*w**4 = 0.
-1, -1/2, 0, 1
Let w(d) = d**3 - 6*d**2 + 2*d - 8. Let i be w(6). Suppose i*l + 0 - 2 = -2*n, 0 = -2*l - 3*n + 3. Factor -2/9*u**3 + l - 2/9*u + 4/9*u**2.
-2*u*(u - 1)**2/9
Let g be 12/(-45)*-3*1. Factor 16/5*y**3 - 6/5*y**4 - 14/5*y**2 + g*y + 0.
-2*y*(y - 1)**2*(3*y - 2)/5
Suppose -4 + 0 = -2*t. Let u = -8 - -11. Let -q**4 + 0*q**4 + 2*q**u - q**t + 0*q**4 = 0. What is q?
0, 1
Let d = -12 - -12. Let j(o) be the second derivative of 0*o**2 + d - 1/30*o**5 - 1/45*o**6 + 0*o**4 + 0*o**3 - 2*o. Factor j(y).
-2*y**3*(y + 1)/3
Suppose v - 17 = -3*t - 0*t, 5*v + 3*t = 25. Factor 13*z - 13*z + 2*z**2 - v.
2*(z - 1)*(z + 1)
Let b(x) be the first derivative of -x**4/22 + 8*x**3/11 - 48*x**2/11 + 128*x/11 + 3. Factor b(m).
-2*(m - 4)**3/11
Let v(l) be the first derivative of l**7/42 - l**6/10 + l**5/10 + 9*l - 3. Let a(w) be the first derivative of v(w). Factor a(q).
q**3*(q - 2)*(q - 1)
Let s(j) = -1815*j**2 - 1320*j - 240. Let x(y) = -605*y**2 - 440*y - 80. Let i(a) = 3*s(a) - 10*x(a). Suppose i(z) = 0. Calculate z.
-4/11
Let r be 7/56 + (2 - 3)/(-8). Solve -2*i**2 + 5/4*i**3 + 1/2 + r*i = 0 for i.
-2/5, 1
Let l = -73 - -73. Let j(r) be the first derivative of -8/45*r**5 + 0*r + l*r**2 + 1/27*r**6 - 1 - 4/27*r**3 + 5/18*r**4. Factor j(m).
2*m**2*(m - 2)*(m - 1)**2/9
Suppose 2*t = 2*y - 0*y + 16, 5*y + 25 = 0. Let h be -2 + t*15/9. Find u such that -7*u**2 - u**2 - 10*u**3 + 0*u - u**2 + h*u + 2 = 0.
-1, -2/5, 1/2
Let p(w) = w + 7. Let r be p(-5). Suppose 2*l + 3*l - 5 = -5*n, 6 = -r*n. Factor 0 + 2/5*x**3 - 2/5*x**2 + 0*x + 2/5*x**l - 2/5*x**5.
-2*x**2*(x - 1)**2*(x + 1)/5
Let g(m) = 2*m + 8. Let j be g(-4). Factor 0*i**3 + 5*i**3 + 12 + j - 2*i**3 - 9*i**2.
3*(i - 2)**2*(i + 1)
Factor -2*y**5 + 2*y**3 + 0*y**3 + 0*y**3 + 4*y**4 - 2*y**4 - 2*y**2.
-2*y**2*(y - 1)**2*(y + 1)
Let o(g) be the first derivative of -g**4/6 + 4*g**3/27 + g**2/9 + 16. Find b such that o(b) = 0.
-1/3, 0, 1
Let r(b) be the first derivative of 0*b**2 - b + 1/3*b**3 - 2. Factor r(x).
(x - 1)*(x + 1)
Let x(h) = h**3 + 2*h**2 - h. Let v(a) = a**3 + 7*a**2 - 2*a. Let z(w) = 2*v(w) - 6*x(w). Factor z(d).
-2*d*(d - 1)*(2*d + 1)
Let d(v) be the second derivative of 1/120*v**6 - 6*v + 1/8*v**2 + 0 + 0*v**5 - 1/24*v**4 + 0*v**3. Determine j, given that d(j) = 0.
-1, 1
Suppose 50 - 65 = -3*s. Factor 0*m + 2/11*m**3 + 0*m**2 - 2/11*m**s + 0 + 0*m**4.
-2*m**3*(m - 1)*(m + 1)/11
Let f(d) be the first derivative of -d**7/70 - d**6/16 - d**5/10 - d**4/16 + 5*d**2/2 - 7. Let t(w) be the second derivative of f(w). Factor t(n).
-3*n*(n + 1)**2*(2*n + 1)/2
Let d(n) be the fir