 + 2*i**2 - 2*i**2.
2*(i + 2)**2
Determine r, given that -3/2 - 3*r - 3/2*r**2 = 0.
-1
Let i be ((-70)/5 - -4)/(-2). Let p(m) be the third derivative of 0 + 1/3*m**3 + 0*m - 1/60*m**i + 1/24*m**4 - 3*m**2. Let p(t) = 0. What is t?
-1, 2
Let o = 29 - 17. Suppose -2*u = 3*i + 2*i - 20, 4*i - 4*u + o = 0. Find l such that -3/4*l**i + 0 + 1/4*l + 3/4*l**3 - 1/4*l**4 = 0.
0, 1
Let n(x) = x**3 - 2*x**2 + 2. Let s be n(2). Let j(o) be the first derivative of 1/6*o**3 - 1 - 1/8*o**4 + 1/2*o**s + 0*o. Factor j(k).
-k*(k - 2)*(k + 1)/2
Let g(i) = -12*i**2 - 1 + 9 + 2*i**3 + 12*i**3 - 2*i + 0*i**3. Let h(n) = 5*n**3 - 4*n**2 - n + 3. Let c(q) = 3*g(q) - 8*h(q). Factor c(b).
2*b*(b - 1)**2
Let q(s) be the second derivative of s**4/3 + 2*s**3 + 4*s**2 - 45*s. Let q(a) = 0. What is a?
-2, -1
Determine p so that -66*p**3 + 7*p**4 + 5*p**4 - 8*p + 98*p**3 + 12*p**2 = 0.
-2, -1, 0, 1/3
Let b be 33/(-22) + 6/4. Suppose 2/7*g**3 + 2/7*g**2 + b - 2/7*g**5 - 2/7*g**4 + 0*g = 0. What is g?
-1, 0, 1
Let t be (-3)/15 + (-38)/10. Let b = t - -4. Determine r so that r - 4*r**3 + b + 5/2*r**4 + 1/2*r**2 = 0.
-2/5, 0, 1
Let t(x) be the second derivative of 5*x**4/12 - 5*x**3/2 + 5*x**2 - 17*x. Factor t(a).
5*(a - 2)*(a - 1)
Suppose -1/2*d**5 + 0*d + 1/2*d**3 - 7/2*d**4 + 7/2*d**2 + 0 = 0. Calculate d.
-7, -1, 0, 1
Let u(f) be the second derivative of -f**5/40 - f**4/12 - f**3/12 - 24*f. Let u(b) = 0. What is b?
-1, 0
Let f = -6/17 + 165/34. Factor 3/4*g + 0 + f*g**2 + 27/4*g**3.
3*g*(3*g + 1)**2/4
Let l(i) be the third derivative of -i**7/70 + 7*i**6/60 - 13*i**5/60 - i**4/4 + 45*i**2. Suppose l(d) = 0. What is d?
-1/3, 0, 2, 3
Let m(o) = 5*o**2 - o - 2. Let n(u) = u**2. Suppose -3*f + 20 = -5*x - 0*x, 0 = 2*x - 2*f + 8. Let i(p) = x*n(p) + m(p). Factor i(a).
(a - 2)*(a + 1)
Suppose -93 = -3*o - 0. Let l = o + -29. Suppose -2/5*z - 2/5*z**3 + 0 + 4/5*z**l = 0. Calculate z.
0, 1
Factor -8/3*z + 16/3*z**2 - 10/3*z**3 + 0 + 2/3*z**4.
2*z*(z - 2)**2*(z - 1)/3
Suppose 12*x = 18*x - 12. Suppose -1/2*f**x - 1/4*f**3 + 0 - 1/4*f = 0. Calculate f.
-1, 0
Let t(w) be the third derivative of 0*w**3 + 0 - 1/48*w**4 - 1/80*w**6 + 1/420*w**7 + 3*w**2 + 1/40*w**5 + 0*w. Let t(g) = 0. What is g?
0, 1
Let z = -2 - 2. Let q = z - -6. Factor 6 - q*f + f**3 - 8 - f.
(f - 2)*(f + 1)**2
Let h = 125 - 123. Let i(p) be the first derivative of 1/22*p**4 - 4/11*p + 2 + 4/33*p**3 - 1/11*p**h. Determine j so that i(j) = 0.
-2, -1, 1
Factor 3*s**2 - 2*s**3 - 5*s**3 - s**2 + 5*s**3.
-2*s**2*(s - 1)
Factor -3 - 14*y - 5 - y - 10 - 3*y**2.
-3*(y + 2)*(y + 3)
Let j be (-81)/30 + 4/(-20). Let h = -12/5 - j. Factor 1/2*d + 0 + h*d**3 + d**2.
d*(d + 1)**2/2
Let p(i) = i**2 + 3*i + 2. Let m be p(-3). Determine f, given that 0*f**3 - 7*f**m + f**2 - 4*f**3 - 2*f**2 = 0.
-2, 0
Let v(j) = j**2 + j - 2. Let q(g) = g**2 - 14*g + 13. Let i(m) = q(m) + 4*v(m). Factor i(x).
5*(x - 1)**2
Find q such that 4/7*q**4 + 60/7*q**2 + 32/7*q**3 - 32/7*q - 64/7 = 0.
-4, -1, 1
Let g(f) be the first derivative of f**5/5 + 15. Factor g(w).
w**4
Let c be 0/((-1 + -3)/(-4)). Let f = 1/3 + c. Factor 0 - f*d**3 - 1/3*d - 2/3*d**2.
-d*(d + 1)**2/3
Let b = -78 - -81. Let 1/5 - 1/5*m + 1/5*m**b - 1/5*m**2 = 0. What is m?
-1, 1
Suppose 5*n - z + 2*z = 1, 4 = 4*n + 4*z. What is g in n - 1/5*g + 1/5*g**2 = 0?
0, 1
Let o(v) be the second derivative of -v**9/37800 + v**7/6300 + v**4/6 + 3*v. Let a(t) be the third derivative of o(t). Factor a(i).
-2*i**2*(i - 1)*(i + 1)/5
Let j(p) = 9*p. Let a(s) = s**2 - 10*s. Suppose -c + 0*c = 0. Suppose -4*y - y - 15 = c. Let t(x) = y*a(x) - 4*j(x). Factor t(i).
-3*i*(i + 2)
Let n(u) be the second derivative of -u**6/360 - u**5/30 - u**4/6 + u**3/2 - 6*u. Let i(o) be the second derivative of n(o). Find w such that i(w) = 0.
-2
Let n(x) be the first derivative of -x**5/20 - x**4/6 + x - 3. Let r(f) be the first derivative of n(f). Solve r(g) = 0 for g.
-2, 0
Let c(l) = 2*l**3 + 21*l**2 + 3*l + 6. Let r(h) = -h**3 - 11*h**2 - h - 3. Let j(u) = -6*c(u) - 11*r(u). Factor j(o).
-(o + 1)**2*(o + 3)
Let w(g) be the first derivative of -5*g**4/4 - 20*g**3 - 120*g**2 - 320*g - 8. Solve w(x) = 0 for x.
-4
Let k(g) = -7*g**3 - 17*g**2 + 18*g + 67. Let w(b) = -3*b**3 - 9*b**2 + 9*b + 33. Let p(o) = -6*k(o) + 13*w(o). Factor p(c).
3*(c - 3)**2*(c + 1)
Factor 0 + 0*o - o**2 + 1/2*o**3.
o**2*(o - 2)/2
Let c(p) be the second derivative of -p**6/105 + 3*p**5/70 - p**4/42 - p**3/7 + 2*p**2/7 + 44*p. Find z such that c(z) = 0.
-1, 1, 2
Let u(w) be the third derivative of w**10/75600 - w**8/10080 - w**5/15 + w**2. Let f(x) be the third derivative of u(x). Factor f(r).
2*r**2*(r - 1)*(r + 1)
Let n(w) be the second derivative of w**5/80 + w**4/48 + w. Let n(v) = 0. Calculate v.
-1, 0
Suppose 3*t + 3 = 3*m, 4*t + 5*m - 31 + 8 = 0. Suppose -k - 4*k - 8 = t*r, -2*r = 3*k + 8. Suppose 0 + k*v - 2/3*v**4 + 2/3*v**2 + 0*v**3 = 0. Calculate v.
-1, 0, 1
Suppose m = -0*m + 2. Suppose 0 = -m*h + 2 + 2. Suppose j**2 + j**h - 4*j**3 + 2*j**4 - 4*j**3 + 4*j**3 = 0. Calculate j.
0, 1
Let t = -444 + 816. Let j = t - 1854/5. Suppose -j*d + 9/5*d**2 - 3/5*d**3 + 0 = 0. What is d?
0, 1, 2
Let s be ((-860)/(-48) - 18)/(1/(-8)). Determine l, given that -s*l**2 - 4/9*l + 0 - 2/9*l**3 = 0.
-2, -1, 0
Suppose -4*p = -3*z + 2*z + 4, 0 = 3*z + 4*p + 4. Factor -22*g**3 - 4*g**2 - 8 + z*g**3 - 32*g**4 - 14*g**5 + 8.
-2*g**2*(g + 1)**2*(7*g + 2)
Let h(z) be the third derivative of -1/100*z**6 + 1/50*z**5 - 1/60*z**4 + 1/525*z**7 + 0*z**3 + 0*z + 3*z**2 + 0. Factor h(a).
2*a*(a - 1)**3/5
Let b(n) be the first derivative of n**4/48 - n**3/4 + 9*n**2/8 + 4*n - 3. Let z(s) be the first derivative of b(s). Find u, given that z(u) = 0.
3
Let y(s) = 69*s**2 - 32*s - 1. Let h(g) = -103*g**2 + 48*g + 1. Suppose -15 = 3*k - 3*w, -3*k = -5*w + 10 + 5. Let f(r) = k*h(r) - 7*y(r). Factor f(m).
2*(4*m - 1)**2
Let x(k) be the second derivative of 9*k**6/20 + 3*k**5/5 + k**4/3 + 3*k**3/2 + 6*k. Let t(w) be the second derivative of x(w). Suppose t(z) = 0. Calculate z.
-2/9
Suppose 2*g + 1 = -2*a - 5, g + 4*a + 18 = 0. Suppose 2*n + g = 3*n. Find t, given that 0 - 2/5*t**n + 2/5*t = 0.
0, 1
Let g(w) be the first derivative of 1/7*w**2 - 2/21*w**3 + 1/42*w**4 - 3*w + 2. Let v(i) be the first derivative of g(i). What is r in v(r) = 0?
1
Let d = -4 + 8. Suppose 20 = -b - 4*b - 5*a, 16 = -b - d*a. Determine z, given that 1/3*z**2 + 1/3*z**4 - 2/3*z**3 + 0 + b*z = 0.
0, 1
Let o(j) = j**2 + j - 5. Let s(v) = 3*v**2 + 3*v - 12. Let m(c) = -12*o(c) + 5*s(c). Factor m(g).
3*g*(g + 1)
Let k(w) be the third derivative of -w**5/60 + w**3/6 - w**2. Let u(z) = 3*z**2 + 2*z - 1. Let x(d) = -5*k(d) - u(d). Let x(g) = 0. What is g?
-1, 2
Let u(b) = -b**2 + 4*b + 2. Let i be u(4). Factor -4*o + 5*o + 0*o + 2*o**i - 3*o.
2*o*(o - 1)
Let m(l) be the first derivative of -l**5/20 + l**3/12 + 4. Factor m(a).
-a**2*(a - 1)*(a + 1)/4
Suppose -44 = 4*n + 4*d, 12 = -5*n + 2*d - 8. Let b = 6 + n. Suppose m**2 + 3*m + 1 - 5*m + b = 0. What is m?
1
Let b(s) = -5*s**4 + 9*s**3 + s**2 - 5*s + 8. Suppose -2*o + o - 8 = 0. Let u(p) = 2*p**4 - 3*p**3 + 2*p - 3. Let j(w) = o*u(w) - 3*b(w). Factor j(r).
-r*(r + 1)**3
Let g(p) be the first derivative of 1/420*p**6 - 1/210*p**5 + 0*p + 1/21*p**3 - 2 - 1/84*p**4 + p**2. Let w(f) be the second derivative of g(f). Factor w(r).
2*(r - 1)**2*(r + 1)/7
Let f(y) be the second derivative of y**4/36 - y**3/3 + 3*y**2/2 + 3*y. Factor f(c).
(c - 3)**2/3
Let i be 3/((8/6)/(2/9)). Find m, given that 0*m**2 - 4/3*m**4 - i*m**5 + 1/6*m + 0 - m**3 = 0.
-1, 0, 1/3
Suppose 26*m - 32*m + 18 = 0. Let v(t) be the second derivative of 1/24*t**4 + 0*t**2 - m*t + 1/12*t**3 + 0. Solve v(o) = 0 for o.
-1, 0
Let x be (-26)/(-36) + (-6 - -5). Let j = 2/9 - x. Suppose -1/2*f + f**2 - j*f**3 + 0 = 0. Calculate f.
0, 1
Let f be (1 - -23)/(-2) - -2. Let k be ((-4)/f)/(28/20). Factor -k*o**2 + 2/7*o + 4/7.
-2*(o - 2)*(o + 1)/7
Let t = -48 + 434/9. Factor 2/3*i**2 - t + 4/9*i.
2*(i + 1)*(3*i - 1)/9
Let o(m) be the second derivative of 0 + 1/12*m**3 + 5*m + 0*m**2 + 1/40*m**5 + 1/12*m**4. Determine a so that o(a) = 0.
-1, 0
Suppose -u - 3*k = 8, u = -0*u + 3*k + 10. Let g be 0 + 5/u - 2. Find n, given that 2/9 + 4/9*n**g - 4/9*n - 2/9*n**4 + 0*n**2 = 0.
-1, 1
Factor t**2 - 3 + 3 + t**2 + 2