o = j + 37. Let f = -10 - j. Factor 2/3*r**3 + 2/3 - 2/3*r - 2/3*r**f.
2*(r - 1)**2*(r + 1)/3
Let c(h) be the second derivative of 0*h**5 + 4*h - 4/15*h**6 + 0*h**3 + 0*h**2 + 0*h**4 - 2/7*h**7 + 0. Factor c(n).
-4*n**4*(3*n + 2)
Suppose -4*z = -2*b - 54, -4*b + 5*b - 21 = -z. Let -z + 11*c + 4*c**2 - 11*c = 0. What is c?
-2, 2
Let x(h) = -h**3 - 2*h**2 + 2. Let g be x(-3). Let u(s) = 2*s**2 + 29*s + 2. Let p(y) = y**2 + 10*y + 1. Let d(c) = g*p(c) - 4*u(c). Let d(i) = 0. What is i?
1
Let i(o) be the first derivative of 49*o**5/15 - 21*o**4/2 + 109*o**3/9 - 6*o**2 + 4*o/3 - 4. Find l such that i(l) = 0.
2/7, 1
Let m(i) = i**2 - 12*i + 16. Let v be m(11). What is n in n**v - 3*n - 7 + 0*n**2 + 6*n**4 - 9*n - 1 + 2*n**2 + 11*n**3 = 0?
-2, -1, 1
Let a(l) be the first derivative of -3*l**5/5 + 3*l**4/2 - 3*l**2 + 3*l + 3. Let a(f) = 0. What is f?
-1, 1
Let x(l) = -l**3 + l**2 - 2*l - 4. Let m(j) = -2*j**3 + 2*j**2 - 3*j - 7. Let s(r) = 3*m(r) - 5*x(r). Suppose s(y) = 0. Calculate y.
-1, 1
Let r(b) be the third derivative of b**7/98 + b**6/10 + 12*b**5/35 + 2*b**4/7 - 8*b**3/7 + 17*b**2 - 2. What is s in r(s) = 0?
-2, 2/5
Let s(b) be the second derivative of -b**6/1620 + b**5/270 - b**3/3 + 2*b. Let p(x) be the second derivative of s(x). Solve p(r) = 0.
0, 2
Let c be (65/(-15))/(2/6). Let g = c - -18. Factor f + g*f + 4 + 2*f**3 - 2 + 6*f**2.
2*(f + 1)**3
Factor -6*i**2 - 8*i + 149 + 2*i**2 - 149.
-4*i*(i + 2)
Factor 2/3*b**2 - 2/3*b - 4.
2*(b - 3)*(b + 2)/3
Let m(b) = -4*b**5 + 6*b**4 + 2*b**3 + 2*b - 2. Let u(s) = -21*s**5 + 31*s**4 + 11*s**3 + 11*s - 11. Let w(v) = 11*m(v) - 2*u(v). Factor w(d).
-2*d**4*(d - 2)
Let l(v) be the second derivative of v**4/2 + 2*v**3/3 - v**2 - 6*v. Factor l(g).
2*(g + 1)*(3*g - 1)
Let i(t) be the second derivative of 0 + 1/4*t**4 - 3/2*t**2 + 1/60*t**6 + 1/3*t**3 + t + 1/10*t**5. Let q(m) be the first derivative of i(m). Factor q(a).
2*(a + 1)**3
Find w such that 10 - 2*w**3 + 4 - 2*w**2 + 2*w - 12 = 0.
-1, 1
Let s be (-2)/6 - 14/(-6). Factor z**s - 3*z + 0*z - 3*z**2 + 5*z**2.
3*z*(z - 1)
Let v(d) = 4*d**2 + 3 - 2*d**3 - 5*d**2 + 1 - d**3. Let o(c) = 4*c**3 + c**2 - 5. Let t(a) = 4*o(a) + 5*v(a). Find q such that t(q) = 0.
0, 1
Let v(a) be the second derivative of 3*a - 1/42*a**7 + 1/6*a**4 + 1/2*a**2 - 1/10*a**6 + 1/2*a**3 + 0 - 1/10*a**5. Factor v(l).
-(l - 1)*(l + 1)**4
Let 0 + 0*r + 0*r**2 + 0*r**4 + 1/4*r**3 - 1/4*r**5 = 0. Calculate r.
-1, 0, 1
Suppose u + 14 = -7. Let v be 6/16*(-14)/u. Factor -v*y - y**2 + 0.
-y*(4*y + 1)/4
Factor 2/7*v**4 + 0 - 2/7*v**2 + 1/7*v + 0*v**3 - 1/7*v**5.
-v*(v - 1)**3*(v + 1)/7
Determine r so that 4/3*r**3 - 20/3*r**2 + 0 + 16/3*r = 0.
0, 1, 4
Let k(i) = -i**2 - 6*i - 6. Let h be k(-4). Let n(c) be the first derivative of -1/5*c**h - 2 + 2/5*c - 2/15*c**3 + 1/10*c**4. Find j such that n(j) = 0.
-1, 1
Factor 486 - 4*d**2 - 495 - 12*d + d**2.
-3*(d + 1)*(d + 3)
Let h(f) be the second derivative of 5*f**7/147 + 11*f**6/105 + f**5/35 - 5*f**4/21 - f**3/3 - f**2/7 - 2*f. Suppose h(w) = 0. What is w?
-1, -1/5, 1
Let u(x) = x**3 - 6*x**2 + 4*x + 3. Let d be u(5). Let a be (d/4)/(3/(-12)). Factor j**3 - 1 + 5*j**a - 2*j**3 + j - 4*j**2.
-(j - 1)**2*(j + 1)
Let l(m) be the second derivative of -m**6/15 - 7*m**5/10 - 5*m**4/2 - 13*m**3/3 - 4*m**2 - 5*m + 2. Suppose l(z) = 0. Calculate z.
-4, -1
Let m(v) be the third derivative of -v**8/30240 + v**7/5670 - v**6/3240 - v**4/24 - 3*v**2. Let o(d) be the second derivative of m(d). Factor o(q).
-2*q*(q - 1)**2/9
Suppose -43 = -5*y - 28. Determine n, given that 0 + 1/4*n + 1/4*n**y - 1/2*n**2 = 0.
0, 1
Factor 13*w**2 + 12*w**3 - 39*w**2 + 17*w**2 - 5*w**4 + 2*w.
-w*(w - 1)**2*(5*w - 2)
Suppose 0*x + 12 = -3*m + 3*x, -3*m - 16 = -2*x. Let u be (-2)/m - 177/(-12). Factor 6 + u*s + 21/2*s**2 + 9/4*s**3.
3*(s + 2)**2*(3*s + 2)/4
Factor -39/4*s**4 + 3/4*s**2 - 27/4*s**3 + 0 - 15/4*s**5 + 3/2*s.
-3*s*(s + 1)**3*(5*s - 2)/4
Let p(d) be the third derivative of -d**8/280 - 2*d**7/105 - 7*d**6/300 + 2*d**5/75 + d**4/15 - 3*d**2 + 1. Find i such that p(i) = 0.
-2, -1, 0, 2/3
Let h(w) = -6*w**2 + 4*w + 21. Let c(n) = -n**2 - 4*n - 2. Let a be c(-4). Let r(o) = o**2 - o - 4. Let v(q) = a*h(q) - 11*r(q). Find p such that v(p) = 0.
-2, -1
Let o(d) be the third derivative of -d**5/4 + 25*d**4/24 - 5*d**3/3 + 10*d**2 - 2*d. Solve o(i) = 0 for i.
2/3, 1
Let x(o) be the first derivative of 1/15*o**5 + 0*o + 3 + 1/12*o**4 + 0*o**3 + 0*o**2. Factor x(s).
s**3*(s + 1)/3
Suppose -10*u = 3*u - 4*u. Factor 0*m**2 + u*m + 2/7*m**3 + 0.
2*m**3/7
Let y(f) = 5*f**5 - 8*f**4 + 4*f**3 + 2*f**2 - f + 6. Let b(t) = -t**5 + t**4 - t - 1. Let i(s) = -12*b(s) - 3*y(s). Determine k, given that i(k) = 0.
-1, 1, 2
Solve -3/4*d**4 - 3/4*d**5 + 0 + 9/4*d**3 - 3/2*d + 3/4*d**2 = 0.
-2, -1, 0, 1
Let a be (-4)/13 + 1 + 1. Factor 4/13 - 18/13*b + 6/13*b**4 + 30/13*b**2 - a*b**3.
2*(b - 1)**3*(3*b - 2)/13
Let d(r) be the third derivative of -r**5/210 + r**4/84 + 2*r**3/21 + 11*r**2. Let d(t) = 0. What is t?
-1, 2
Factor 0 + 10/11*p**4 - 6/11*p**3 - 4/11*p**2 + 0*p.
2*p**2*(p - 1)*(5*p + 2)/11
Let t(h) be the first derivative of -9*h**5/5 + 15*h**4/4 - h**3 - 3*h**2/2 + 7. Factor t(x).
-3*x*(x - 1)**2*(3*x + 1)
Let x = 29 - 29. Let j(h) be the second derivative of -2*h + x*h**3 + 1/6*h**4 - 1/15*h**5 + 0 - 1/3*h**2. Factor j(n).
-2*(n - 1)**2*(2*n + 1)/3
Suppose 10 = 3*l + 2*l. Factor -6*z**2 + 3*z**2 + 2*z**l - z.
-z*(z + 1)
Let s(l) be the third derivative of l**6/160 - l**5/80 - l**4/16 - 4*l**2. Find b, given that s(b) = 0.
-1, 0, 2
Let l(t) be the second derivative of t**7/126 - t**5/10 - 2*t**4/9 - t**3/6 + 10*t. Suppose l(o) = 0. What is o?
-1, 0, 3
Suppose 6 = -5*m + 31. Suppose 0 = 2*x - 2 - 2. Factor x*i**m - 2 - 6*i + 5*i**3 + 5*i**4 - 4*i**2 + i**4 - i**3.
2*(i - 1)*(i + 1)**4
Let z be (-76)/18 - (-4)/18. Let o be (-3)/2*z/3. Find b such that b**4 - b**o - 2*b**4 + 2*b**2 = 0.
-1, 0, 1
Let q(u) be the third derivative of -u**6/30 - u**5/5 + 8*u**3/3 + 25*u**2. Determine k, given that q(k) = 0.
-2, 1
Let n(b) be the second derivative of -1/42*b**4 - b + 0 - 1/21*b**3 + 0*b**2 + 1/70*b**5 + 1/105*b**6. Let n(y) = 0. What is y?
-1, 0, 1
Let l(n) be the third derivative of 0*n**4 + 0 - 1/3*n**3 - n**2 - 1/105*n**7 + 0*n**6 + 1/15*n**5 + 0*n. Factor l(b).
-2*(b - 1)**2*(b + 1)**2
Let h be 3/122*(-25)/(-15). Let m = h - -453/854. Factor -m + 2/7*d**3 - 6/7*d + 0*d**2.
2*(d - 2)*(d + 1)**2/7
Let g be (1/(-3))/((-1)/15). Let o = g - 3. Solve -2*w + 12*w + 4 + 0*w**2 - 10*w**3 - 4*w**o = 0 for w.
-1, -2/5, 1
Let c(q) = -2*q**5 - 7*q**4 + 5*q**3 - 3*q**2 - 21*q + 8. Let z(i) = i**4 + i**3 + i**2 + i. Let w(u) = c(u) + 5*z(u). Factor w(n).
-2*(n - 1)**3*(n + 2)**2
Solve 12/7*p**2 - 3/7*p - 18/7*p**3 + 0 + 12/7*p**4 - 3/7*p**5 = 0.
0, 1
Let f(s) = -s**3 - 4*s**2 - 2*s + 7. Let c be f(-5). Let j be (-24)/c*2/(-4). Suppose -2/7*u + 0 - j*u**2 = 0. What is u?
-1, 0
Suppose -4*o - 12 = 0, 0 = 4*n + 2*o - 7 - 3. Let g(z) be the second derivative of -1/2*z**2 - 1/12*z**n - 1/3*z**3 + z + 0. Find f such that g(f) = 0.
-1
Let n = 11 + -8. Find a such that 5*a**3 - a + a**2 - 4*a**n - a**2 = 0.
-1, 0, 1
Let g(t) be the first derivative of -4/3*t + 4 - 1/9*t**3 + 2/3*t**2. Factor g(q).
-(q - 2)**2/3
Let f(t) be the second derivative of 1/10*t**5 + 3*t - 1/6*t**3 + 0*t**6 - 1/42*t**7 + 0 + 0*t**2 + 0*t**4. What is u in f(u) = 0?
-1, 0, 1
Let h = -62 + 62. Let b(t) be the second derivative of -t + h*t**3 + 1/20*t**5 + 0*t**2 + 0*t**4 + 0 + 0*t**6 - 1/42*t**7. Factor b(n).
-n**3*(n - 1)*(n + 1)
Factor -3/5*c**5 + 0 + 0*c**2 + 0*c + 0*c**4 + 3/5*c**3.
-3*c**3*(c - 1)*(c + 1)/5
Let m be (-12)/36*(-9)/6. Suppose m + 0*v**2 - 3/4*v + 1/4*v**3 = 0. What is v?
-2, 1
Factor -22*o - 25*o + 50*o - o**2.
-o*(o - 3)
Let s be 7*(1 + 9/(-21)). Let n(t) be the third derivative of 0*t**s - 1/420*t**6 + 0*t**3 + 3*t**2 - 1/105*t**5 + 0 + 0*t. Factor n(q).
-2*q**2*(q + 2)/7
Let t(a) be the first derivative of 1/3*a**3 + 2 - a**2 + 0*a. Let t(p) = 0. Calculate p.
0, 2
Let q(j) be the third derivative of 1/40*j**6 - 1/112*j**8 + 0*j**3 + 0*j**4 + 1/20*j**5 + 0*j - 6*j**2 - 1/70*j**7 + 0. Find y such that q(y) = 0.
-1, 0, 1
Find p, given that -23*p**4 - 8*p**3 - 3*p - 12*p**2 + 35*p**4 + 13*p - 2*p**5 = 0.
-1, 0, 1, 