2*(q + 1)**4*(q + 2)
Suppose 0 = -2*r - 3*r + 15. Let y**3 - 2*y - r - y**2 + 3*y + 4 - 2*y = 0. Calculate y.
-1, 1
Factor -h**2 + 2/3*h - 1/6*h**4 - 1/6 + 2/3*h**3.
-(h - 1)**4/6
Suppose -4*l - 238 = -6*l. Let d = -593/5 + l. Determine g so that 3/5*g**2 - 1/5*g + 1/5*g**3 - 1/5 - d*g**4 = 0.
-1, -1/2, 1
Let j(p) be the first derivative of p**6/18 + p**5/15 - 5*p**4/12 + p**3/3 + 8. Factor j(c).
c**2*(c - 1)**2*(c + 3)/3
Let n = -571/12 - -48. Let u(d) be the second derivative of -1/10*d**5 + 0 + 0*d**2 + 2*d - 1/6*d**6 + 1/3*d**3 + n*d**4. Factor u(q).
-q*(q - 1)*(q + 1)*(5*q + 2)
Let t(y) = -7 + 0*y**2 - 2*y**2 + y**2 - 4*y - 4*y. Let i be t(-7). Factor 1/3*b**4 + 4*b**2 - 2*b**3 - 8/3*b + i.
b*(b - 2)**3/3
Let a(t) be the third derivative of t**5/30 - t**4/4 + 3*t**2. Solve a(x) = 0 for x.
0, 3
Let v(j) be the third derivative of 0 + 0*j**5 + j**2 - 1/3*j**3 + 1/360*j**6 + 0*j - 1/24*j**4. Let k(g) be the first derivative of v(g). Factor k(a).
(a - 1)*(a + 1)
Suppose 2*z = z. Let p be 3 - (z - (-4 + 1)). Let -2/3*g**5 + 4/3*g**4 + p*g**3 - 4/3*g**2 + 2/3*g + 0 = 0. Calculate g.
-1, 0, 1
Let v = 10 + -7. Factor -6*d**2 + d**v + d + d**3 + 3*d.
2*d*(d - 2)*(d - 1)
Let s(z) be the third derivative of z**10/75600 - z**9/30240 + z**5/20 + z**2. Let n(q) be the third derivative of s(q). Determine l, given that n(l) = 0.
0, 1
Let c = -40 + 29. Let w(i) = -i**2 - 5*i + 4. Let g(l) = 21*l - 3 + 5*l + 6*l**2 - 18. Let a(k) = c*w(k) - 2*g(k). Factor a(m).
-(m - 2)*(m - 1)
Let w(z) be the third derivative of 0*z + 2/105*z**7 + 0*z**4 + 1/168*z**8 + 0 - 3*z**2 + 1/60*z**6 + 0*z**5 + 0*z**3. Factor w(v).
2*v**3*(v + 1)**2
Let x(f) be the first derivative of 3 - 4/7*f**2 - 2/21*f**3 - 6/7*f. Factor x(b).
-2*(b + 1)*(b + 3)/7
Let o(z) = 2*z**3 - 19*z**2 - 9*z - 8. Let t be o(10). Determine f, given that 4*f**t + f - 1/2 = 0.
-1/2, 1/4
Let f(x) = -x**2 + x. Let h(j) = 2*j**2 + 27*j + 196. Let z(q) = -5*f(q) - 5*h(q). Factor z(r).
-5*(r + 14)**2
Let f(w) = w**2 + 4*w - 1. Let b be f(-5). Let i(g) be the first derivative of -2*g**2 - 2 + 0*g - 4/3*g**3 - 1/4*g**b. Solve i(t) = 0.
-2, 0
Let k(m) be the third derivative of m**7/280 - 3*m**5/40 + m**4/4 + m**3 - 4*m**2. Let b(o) be the first derivative of k(o). Determine g so that b(g) = 0.
-2, 1
Solve -4/5 + 6/5*l - 2/5*l**2 = 0 for l.
1, 2
Suppose 5*h = 5*s, 0*s - 2*s = -4*h + 6. Find m such that -3/2 + h*m - 3/2*m**2 = 0.
1
Let h(b) be the first derivative of -b**4/6 + b**3 - 2*b**2 + 4*b - 3. Let l(z) be the first derivative of h(z). Factor l(q).
-2*(q - 2)*(q - 1)
Let y = 19 + -113/6. Let s(n) be the second derivative of 0*n**2 + 0*n**4 + 2*n + y*n**3 + 0 - 1/20*n**5. Factor s(j).
-j*(j - 1)*(j + 1)
Let w(v) = -2*v + 6. Let o(z) be the second derivative of -z**4/12 + 2*z**3/3 - 13*z**2/2 - 4*z. Let d(j) = -2*o(j) - 5*w(j). Factor d(p).
2*(p - 1)*(p + 2)
Let q = -42/5 + 136/15. Factor 0 + 0*d - 4/3*d**2 + q*d**3.
2*d**2*(d - 2)/3
Let b(s) be the first derivative of 3 + 3/5*s**5 + s**3 - 9/4*s**4 - 6*s + 9/2*s**2. Find p, given that b(p) = 0.
-1, 1, 2
Suppose 2/5*c**4 + 2/5*c**3 + 0*c**2 + 0*c + 0 = 0. Calculate c.
-1, 0
Suppose 12*u + 11 = 47. Factor 0 + 0*l + 4/3*l**u - 2/3*l**2 - 2/3*l**4.
-2*l**2*(l - 1)**2/3
Let l(v) be the second derivative of 0*v**3 + 0 - 2*v + 0*v**4 + 0*v**2 - 3/80*v**5. Find z, given that l(z) = 0.
0
Suppose -61*o + 15*o = 0. Factor -2/11*x**4 + 4/11*x**3 + 6/11*x**2 + o*x + 0.
-2*x**2*(x - 3)*(x + 1)/11
Let u(x) be the first derivative of -5*x**6/6 - 2*x**5 + 5*x**4/4 + 10*x**3/3 + 3. What is w in u(w) = 0?
-2, -1, 0, 1
Let x = -4 - -7. Factor 3*g**3 - 2*g**3 - 2*g**3 + 2*g**2 + g**5 + g**4 - x*g**2.
g**2*(g - 1)*(g + 1)**2
Let m(x) be the third derivative of -2*x**5/225 - 29*x**4/180 - 7*x**3/45 - 12*x**2. Let m(d) = 0. What is d?
-7, -1/4
Factor 1/4*l**3 - 1/4*l**4 + 9/2*l**2 - 13*l + 10.
-(l - 2)**3*(l + 5)/4
Let z(g) be the second derivative of 0 + 0*g**5 - 1/540*g**6 + 2*g + 1/108*g**4 + g**2 + 0*g**3. Let q(j) be the first derivative of z(j). Factor q(n).
-2*n*(n - 1)*(n + 1)/9
Factor 4*u - 5*u**3 - 11*u**3 + 27*u**3 - 14*u**2 - 5*u**3.
2*u*(u - 2)*(3*u - 1)
Let -8/3*c + 4/3 - 1/3*c**3 + 5/3*c**2 = 0. Calculate c.
1, 2
Suppose 4*n = -n - 10. Let m(u) = u**2 + 2*u + 2. Let h be m(n). Determine d, given that 0*d**h - 2/3*d**3 - 1/3 + 2/3*d + 1/3*d**4 = 0.
-1, 1
Let r be (-2)/(-9) - (-25)/9. Suppose 25 = 5*n - 3*u, r*n + u - 8 - 7 = 0. Factor 0 + 3 + 3*m**2 - n - 1.
3*(m - 1)*(m + 1)
Let n be (-2)/2*(1 - 3). Let o be (-3)/n*(3 - 5). Factor -u + o*u**3 + 2*u - 3*u**2 - u**3 + 0*u**3.
u*(u - 1)*(2*u - 1)
Let n(g) be the second derivative of 1/36*g**4 + 0*g**3 + 5*g + 0 + 1/30*g**6 + 1/15*g**5 + 0*g**2. What is h in n(h) = 0?
-1, -1/3, 0
Let d = -15 - -9. Let q be 3/d*8/(-12). Suppose -1/3 + 1/3*f**2 + q*f**3 - 1/3*f = 0. Calculate f.
-1, 1
Let i(d) be the first derivative of -d**5/270 + d**4/54 - d**3/27 - d**2 + 1. Let y(j) be the second derivative of i(j). Let y(t) = 0. Calculate t.
1
Let f(x) = -33*x**3 + 7*x**2 - 17*x - 8. Let o(u) = 4*u**3 - u**2 + 2*u + 1. Let i(k) = 6*f(k) + 51*o(k). Factor i(d).
3*(d - 1)**2*(2*d + 1)
Solve -57*p**2 + 24*p**3 + 5 - 448*p + 12*p**5 + 45*p**4 + 7 + 412*p = 0.
-2, -1, 1/4, 1
Let b(n) = -n**2 + 2*n + 7. Let x be b(3). Let g(z) be the third derivative of -1/75*z**5 - 1/15*z**3 - 1/20*z**x + 0 + 0*z - 2*z**2. Factor g(m).
-2*(m + 1)*(2*m + 1)/5
Let l(x) be the first derivative of x**6/2 + 3*x**5/5 - 3*x**4/2 - 2*x**3 + 3*x**2/2 + 3*x + 11. Find z such that l(z) = 0.
-1, 1
Let x(u) be the second derivative of u**7/63 - 2*u**5/15 - u**4/9 + u**3/3 + 2*u**2/3 + 6*u. Factor x(p).
2*(p - 2)*(p - 1)*(p + 1)**3/3
Let r(l) = l**3 - l**2. Let g = -2 + 8. Let t(n) = -2*n**3 - 2*n + 6*n**3 - g*n**2 - 4 + 8*n**3. Let c(k) = 10*r(k) - t(k). Solve c(h) = 0 for h.
-2, -1, 1
Let g(y) be the first derivative of -49*y**6/3 - 154*y**5/5 + 17*y**4/2 + 146*y**3/3 + 32*y**2 + 8*y - 10. Let g(i) = 0. Calculate i.
-1, -2/7, 1
Let w(k) = -4*k**3 + 13*k**2 - 13. Let l(g) = g**3 - 3*g**2 + 3. Suppose q - 5 = 21. Let v(t) = q*l(t) + 6*w(t). Let v(z) = 0. Calculate z.
0
Suppose 0*y**3 + y + 0*y**3 + 4*y**3 - 54*y**3 + 6 - 55*y**2 = 0. What is y?
-1, -2/5, 3/10
Let j(n) = 4*n**5 - 4*n**4 + 12*n**3 - 4*n**2 - 8*n - 8. Let c(h) = -h**5 - h**3 + h**2 + h + 1. Let f(w) = 8*c(w) + j(w). Factor f(s).
-4*s**2*(s - 1)*(s + 1)**2
Suppose -w + 7*g = 2*g - 26, 0 = 4*g + 16. Factor 16*n + 0 - 8 - w*n**2 + 16*n**2.
2*(n + 2)*(5*n - 2)
Let m(a) be the second derivative of a**7/280 - a**6/240 + a**5/480 + a**4/12 - a. Let r(f) be the third derivative of m(f). Factor r(p).
(6*p - 1)**2/4
Let m(o) be the first derivative of -2 + 1/12*o**4 - o - 1/2*o**2 + 1/6*o**3 - 1/20*o**5. Let f(j) be the first derivative of m(j). Factor f(z).
-(z - 1)**2*(z + 1)
Factor 49/2*p**3 - 33/2*p + 7/2*p**2 + 9/2.
(p + 1)*(7*p - 3)**2/2
Let j(k) = -k**5 + k. Let b(n) = -9*n**5 - 2*n**4 - n**3 + 8*n. Let m(y) = 3*b(y) - 24*j(y). Suppose m(p) = 0. Calculate p.
-1, 0
Let r(p) = p**3 + 4*p**2 + 2*p - 1. Let k be r(-2). Factor -5*c**3 - 2*c**k - 2*c + 6*c**3 + 3*c**2.
-c*(c - 2)*(c - 1)
Let c(p) = 26*p**2 + 10*p - 16. Let l(z) = -5*z**2 - 2*z + 3. Let a(v) = -3*c(v) - 16*l(v). Factor a(s).
2*s*(s + 1)
Let m(x) be the third derivative of -x**7/210 - x**6/90 + x**5/30 + x**4/6 + 3*x**3/2 - 7*x**2. Let z(p) be the first derivative of m(p). Factor z(b).
-4*(b - 1)*(b + 1)**2
Let d(a) = a**2 + a. Let w be d(-1). Let j(h) be the first derivative of w*h**3 + 2 + 0*h - 1/8*h**4 + 0*h**2. Factor j(q).
-q**3/2
Let x(c) be the first derivative of 4/9*c**3 - 8/3*c**2 + 16/3*c + 3. Solve x(w) = 0.
2
Let i = -107 + 110. Determine p, given that -p**4 + 1/2*p + 0*p**i - 1/2*p**5 + p**2 + 0 = 0.
-1, 0, 1
Suppose 4*g - 21 = -3*p, -11 + 5 = -2*p. Determine o so that 0 + 2*o**4 + 1/2*o**g - 2*o**2 - 1/2*o = 0.
-1, -1/4, 0, 1
Let u be (4 - (-11)/(-3))*-69. Let h = u + 23. Factor -2/5 + h*k + 2/5*k**2.
2*(k - 1)*(k + 1)/5
Let w(i) be the third derivative of 0*i + i**2 - 1/12*i**4 + 0*i**3 + 0 + 1/40*i**6 + 1/60*i**5. Find o, given that w(o) = 0.
-1, 0, 2/3
Let m be ((-10)/(-16))/((-121)/(-44) + -2). Let 4/3*w + 1/6*w**3 - 2/3 - m*w**2 = 0. Calculate w.
1, 2
Let u(a) be the second derivative of a**5/35 + a**4/21 - 2*a**3/21 - 2*a**2/