21*s**5/10 - 29*s**4/4 - 4*s**3 + 6*s**2 + s. Find r, given that y(r) = 0.
-2, -1, 1/4, 2
Suppose 3*l = -14 + 23. Let q(n) be the first derivative of 2/5*n**2 + 2/5*n - 3 + 2/15*n**l. Factor q(g).
2*(g + 1)**2/5
Factor -2/3*r**2 - 1/3*r**3 + 0*r + 0 + 1/3*r**5 + 2/3*r**4.
r**2*(r - 1)*(r + 1)*(r + 2)/3
Let m(p) be the first derivative of 2*p**3/15 + 2*p**2 + 18*p/5 + 37. Factor m(y).
2*(y + 1)*(y + 9)/5
Let b = -86 + 196. Let y be b/25 + 2/(-5). Find u such that -4*u**4 - 2*u + u**5 + y*u + 4*u**2 - 3*u**5 = 0.
-1, 0, 1
Suppose -4*k + h + 49 = 0, -k + 3*h + 26 = -0*h. Let s = k - 9. Find m, given that 10*m**2 - m - 3 + 4*m + 6*m + 2*m**s = 0.
-1, 1/4
Let t(r) = 4*r**4 - 2*r**3 - 14*r**2 + 4*r + 10. Let x(u) = -16*u**4 + 7*u**3 + 57*u**2 - 16*u - 41. Let b(z) = -9*t(z) - 2*x(z). What is h in b(h) = 0?
-1, 1, 2
Let w = -319/5 - -64. Suppose w*y**2 + 3/5*y + 2/5 = 0. What is y?
-2, -1
Let a(m) be the first derivative of -2*m**5/35 + 5*m**4/14 - 6*m**3/7 + m**2 - 4*m/7 + 4. Factor a(q).
-2*(q - 2)*(q - 1)**3/7
Let n(c) be the third derivative of -c**7/8820 + c**6/2520 + c**5/210 - c**4/8 + c**2. Let z(o) be the second derivative of n(o). Let z(l) = 0. What is l?
-1, 2
Let s(u) = u - 2. Let i be s(5). Suppose -c = c + 4*t + 16, i*c - t - 11 = 0. Let -c - 2*a**3 - 32*a**5 + 16*a**4 + 2 = 0. Calculate a.
0, 1/4
Let h(k) be the first derivative of -k**6/60 - k**5/15 - k**4/12 - 3*k**2/2 - 1. Let i(x) be the second derivative of h(x). Factor i(b).
-2*b*(b + 1)**2
Let u be 4761/(-108) + (-4)/6. Let w = u + 46. Find f, given that -1/4*f**3 + 0 - 2*f**4 + 1/2*f**2 - w*f**5 + 0*f = 0.
-1, 0, 2/5
Suppose 1 = 3*p - 5. Suppose -3*l + 15 = 2*l. Solve -9*s**2 - s**l + p*s + 5*s**4 + 6*s**3 - 7*s**5 + 3*s**4 + s**4 = 0 for s.
-1, 0, 2/7, 1
Let f(w) = -20 + 5*w**2 - 9*w**2 - 72*w + 8 - 104. Let n(d) = 3*d**2 + 48*d + 77. Let c(i) = 5*f(i) + 8*n(i). What is z in c(z) = 0?
-3
Let h(b) be the second derivative of -b**9/1512 + b**8/420 - b**7/1260 - b**6/180 + b**4/6 + 3*b. Let j(q) be the third derivative of h(q). Factor j(i).
-2*i*(i - 1)**2*(5*i + 2)
Let k = -67/2 - -34. Let 1/2*l**2 + k*l + 0 = 0. Calculate l.
-1, 0
Suppose 0 = -r - 3 + 3. Factor r*m**4 + 0 - 2/5*m**5 + 2/5*m**3 + 0*m**2 + 0*m.
-2*m**3*(m - 1)*(m + 1)/5
Let m(f) be the first derivative of f**8/840 + f**7/210 + f**6/180 - 4*f**3/3 - 1. Let j(k) be the third derivative of m(k). Determine t, given that j(t) = 0.
-1, 0
Factor 2/5*t + 0 + 1/5*t**2.
t*(t + 2)/5
Let q(b) = -b**3 - 2*b**2 + 2*b - 1. Let k be q(-3). Factor -2/3*z**3 + 0*z**k + 0 + 0*z + 2/3*z**4.
2*z**3*(z - 1)/3
Suppose p = 4*p. Factor 2*z**2 - z**2 + z - 2*z**2 + p*z.
-z*(z - 1)
Suppose 2*d - 4*x + 20 = -3*d, 2*d - 3*x + 15 = 0. Factor d + 2/7*l**3 + 0*l**2 - 2/7*l.
2*l*(l - 1)*(l + 1)/7
Let c = 14 - 8. Let u = c - 3. Let -u*j**5 + 6*j**5 + 18*j**4 + 15*j**3 - 6*j**4 + 6*j**2 = 0. Calculate j.
-2, -1, 0
Let p be (-4)/3600*(0 + (-10)/4). Let i(x) be the third derivative of -2*x**2 + 0*x + 0*x**4 + p*x**6 + 0 + 0*x**3 + 1/90*x**5. Factor i(s).
s**2*(s + 2)/3
Let n(v) be the second derivative of -v**4/8 + v**3/2 - 3*v**2/4 + 2*v. Factor n(f).
-3*(f - 1)**2/2
Solve 9*g - 27/2 - 3/2*g**2 = 0 for g.
3
Let r(s) be the first derivative of 2*s**5/5 - s**4 - 8*s**3/3 + 2*s**2 + 6*s - 51. Factor r(d).
2*(d - 3)*(d - 1)*(d + 1)**2
Solve 136*z**3 - 16*z**4 - 321*z**2 + 132*z + 6*z - 2*z - 16 = 0.
1/4, 4
Let k be 1*(14*(-1)/(-6) - 2). Let f(z) be the first derivative of 0*z + 1/2*z**2 + 1 - k*z**3. Find w, given that f(w) = 0.
0, 1
Suppose 10 = -4*v + 9*v. Let p(i) be the second derivative of 0 + 0*i**3 - 1/8*i**4 + i**v + 3*i + 1/40*i**5. Determine o, given that p(o) = 0.
-1, 2
Let j(z) be the third derivative of z**7/315 + z**6/90 - z**5/90 - z**4/18 + 3*z**2. Factor j(b).
2*b*(b - 1)*(b + 1)*(b + 2)/3
Let j(o) = 2*o**3 - 6*o**2 + 2*o + 4. Let n(b) = b**4 - b**3 + b**2 - b - 1. Let k = -11 + 13. Let q(h) = k*n(h) + j(h). Find a such that q(a) = 0.
-1, 1
Let q(f) be the second derivative of -f**8/5880 - 11*f**7/8820 - f**6/504 + f**5/210 - 5*f**4/12 - 5*f. Let b(u) be the third derivative of q(u). Factor b(z).
-2*(z + 1)*(z + 2)*(4*z - 1)/7
Let w(s) = s + 17. Let y be w(-12). Suppose 0 = -2*u - 3*q, 6*u = u + y*q. Factor 0*v - 1/4*v**4 - 1/4*v**3 + u + 1/4*v**2 + 1/4*v**5.
v**2*(v - 1)**2*(v + 1)/4
Let u(k) = -3*k**5 - 14*k**4 - 13*k**3 - 8*k**2 - 2*k + 2. Let i(p) = -3*p**5 - 15*p**4 - 12*p**3 - 9*p**2 - 3*p + 3. Let f(z) = -2*i(z) + 3*u(z). Factor f(d).
-3*d**2*(d + 1)**2*(d + 2)
Let i(c) be the first derivative of -1/3*c**3 + 1/3*c**4 + 0*c**2 - c - 2 - 1/10*c**5. Let t(h) be the first derivative of i(h). Suppose t(d) = 0. Calculate d.
0, 1
Determine x so that 22/3*x**2 - 4/3*x - 10/3*x**3 + 0 = 0.
0, 1/5, 2
Factor h**4 - 2*h**5 - h**5 + 6*h**5 + 5*h**4.
3*h**4*(h + 2)
Let p(s) be the first derivative of s**3/5 - 9*s**2/10 + 6*s/5 - 14. Suppose p(m) = 0. Calculate m.
1, 2
Let q(j) = 2*j**2 - 8*j + 3. Let g be q(4). Let d be (-2)/g - (-2 + 1). What is b in 4/3 - 4/3*b + d*b**2 = 0?
2
Let m(l) be the first derivative of -l**5/5 + l**4/2 - 42. Find z such that m(z) = 0.
0, 2
Suppose 3*l - 6*l = 2*w - 8, -5*w = -4*l + 26. Let p = l - -3. Find g, given that -8*g + 8*g + 2 + 16*g**2 + p*g**3 + 11*g = 0.
-1, -2/7
Let c be (-1)/(5/(-20))*1. Let o(w) be the first derivative of -1/12*w**3 - 1/16*w**c + 1/8*w**2 + 1/4*w + 3. Suppose o(d) = 0. What is d?
-1, 1
Let i(n) be the third derivative of -n**6/780 - n**5/78 - 7*n**4/156 - n**3/13 - 7*n**2. What is t in i(t) = 0?
-3, -1
Let v(m) be the second derivative of -m**9/1512 - m**8/210 - m**7/70 - m**6/45 - m**5/60 + m**3/3 + 3*m. Let y(g) be the second derivative of v(g). Factor y(a).
-2*a*(a + 1)**4
Suppose 1 = -3*j + z - 0*z, -4*j + 17 = -5*z. Let i = j + 5. Factor 2*n**i + 2*n**2 - 4*n**2 + 0*n**3 - 3*n**3.
-n**2*(n + 2)
Let b(t) be the third derivative of 1/200*t**6 + 0*t**4 + 1/100*t**5 + 4*t**2 + 0*t**3 + 0*t + 0. Factor b(r).
3*r**2*(r + 1)/5
Let v(i) be the third derivative of -5*i**8/448 + 3*i**7/70 + i**6/10 - 3*i**5/5 + i**4/2 + 28*i**2. Solve v(h) = 0 for h.
-2, 0, 2/5, 2
Suppose 2*i - 4 = 3*p, 2*p - 15 = -5*i - 5. Let t be p + 2 - -34 - -2. Factor 2*k**2 + 38*k - t*k.
2*k**2
Let v(x) be the first derivative of 9*x**5/10 + 7*x**4/2 + 16*x**3/3 + 4*x**2 - 3*x + 3. Let b(p) be the first derivative of v(p). Factor b(t).
2*(t + 1)*(3*t + 2)**2
Let t(i) be the first derivative of 5*i**6/2 + 13*i**5 + 65*i**4/4 - 15*i**3 - 40*i**2 - 20*i - 5. Solve t(c) = 0 for c.
-2, -1, -1/3, 1
Suppose -4*t = -5*z + 25, -z - 5*t = -t + 19. Let u be (-1 + z)/(1 + -3). Determine i so that 2/5*i + 0*i**2 - 2/5*i**3 + u = 0.
-1, 0, 1
Let j = 1 - -11. Let i = j + -10. Suppose 0*s**i + 0 - 2/7*s**3 + 2/7*s = 0. What is s?
-1, 0, 1
Let v(y) = 6*y**2 + 10*y + 4. Let n(u) = -u**3 + 9*u**2 - 9*u. Let b be n(8). Let q(l) = -2*l**2 - 3*l - 1. Let k(w) = b*q(w) - 3*v(w). Factor k(f).
-2*(f + 1)*(f + 2)
Let r(g) be the third derivative of -g**7/420 + g**5/40 + g**4/24 - 10*g**2. Find v such that r(v) = 0.
-1, 0, 2
Let l(o) be the third derivative of -o**9/15120 + o**7/2520 + o**4/6 - 2*o**2. Let a(m) be the second derivative of l(m). Find c such that a(c) = 0.
-1, 0, 1
Factor -2*u**3 + 4*u**4 + 36*u**2 - 16*u**2 - 16*u**2 + 2*u**5 - 8*u**2.
2*u**2*(u - 1)*(u + 1)*(u + 2)
Suppose -17 = 6*d - 29. Solve -c + 0 + 1/2*c**d + 1/2*c**3 = 0.
-2, 0, 1
Let s = -3 - -5. Let j(m) be the second derivative of 0*m**s + 0 - 1/10*m**5 + 1/15*m**6 + 1/21*m**7 - m - 1/6*m**4 + 0*m**3. Factor j(c).
2*c**2*(c - 1)*(c + 1)**2
Factor 0*z + 20*z**2 + 16*z - 5*z**3 + 4*z - 5*z**4 + 0*z**4.
-5*z*(z - 2)*(z + 1)*(z + 2)
Factor -1/7*n + 1/7*n**3 + 0*n**2 + 0.
n*(n - 1)*(n + 1)/7
Let t be (-26)/8 + 2/8. Let k be ((-10)/8)/(t/8). Factor 0 + k*h**3 - 8/3*h**4 - 2/3*h**2 + 0*h.
-2*h**2*(h - 1)*(4*h - 1)/3
Suppose 15 = v + 2*v. Suppose b - v*b + 8 = 0. Factor 6*d**3 + 8*d**b - 2*d**3 - 2*d**3 - 9*d**2 - d**4.
-d**2*(d - 1)**2
Suppose -375/8 - 45/8*q**2 - 3/8*q**3 - 225/8*q = 0. Calculate q.
-5
Let v(t) be the second derivative of 8/27*t**4 + 0 - 2*t + 11/27*t**3 + 7/90*t**5 + 2/9*t**2. Factor v(u).
2*(u + 1)**2*(7*u + 2)/9
Let z be ((-27)/6)/(-9)*1. Let d(b) be the second derivative of -1/4*b**4 + 0*b**3 + 1/10*b**5 + z*b**2 + 0 + b. Suppose d(x) = 0. What i