 + 1/3*x**2 + u.
x*(x - 2)/3
Let m = 18 + -18. Let f(g) be the first derivative of -1/14*g**4 + 1 - 2/35*g**5 + 0*g**3 + m*g + 0*g**2. Factor f(w).
-2*w**3*(w + 1)/7
Let m(i) be the first derivative of 6*i**2 - 3*i**3 + 3 + 4*i**3 + 0*i**2 + i**4 - 4*i - 5*i**3. Solve m(d) = 0 for d.
1
Let v(y) be the third derivative of y**8/504 - y**7/63 + 7*y**6/180 + y**5/90 - 2*y**4/9 + 4*y**3/9 + 13*y**2. What is c in v(c) = 0?
-1, 1, 2
Let h be (1/(-2))/(3/(-24)). Suppose 3*u - h = u. Factor 2*x**2 + x - x + 0*x - u*x.
2*x*(x - 1)
Let f(h) be the second derivative of -h**4/12 + 4*h**3/3 + 3*h + 1. Find z, given that f(z) = 0.
0, 8
Let g(c) = -c**3 + 3*c**2 + 9*c. Let s be g(-2). Factor 0 + 0*l + 0*l**s + 1/4*l**3 + 1/4*l**4.
l**3*(l + 1)/4
Solve 21/2*d**3 - 3/2*d - 3*d**2 + 0 - 6*d**4 = 0.
-1/4, 0, 1
Let v(s) be the second derivative of s**5/60 - s**4/36 - s**3/9 + 21*s. Factor v(n).
n*(n - 2)*(n + 1)/3
Let q(v) be the second derivative of -v**7/105 + 14*v. Find k, given that q(k) = 0.
0
Let b(m) be the first derivative of -4*m**4/9 + 34*m**3/27 - 10*m**2/9 + 2*m/9 + 18. Factor b(u).
-2*(u - 1)**2*(8*u - 1)/9
Let 4*i**2 - 18*i**3 + 12*i**4 - 13*i**3 + 15*i**3 = 0. What is i?
0, 1/3, 1
Let r(z) be the first derivative of z**2/2 + z - 8. Let t be r(1). Factor 0 - 2/5*q + 2/5*q**t.
2*q*(q - 1)/5
Let d(h) = -5*h**3 - 4*h**2 + 4. Let k(i) = i**3 + i**2 - 1. Let m(n) = 2*d(n) + 11*k(n). Let p(j) be the first derivative of m(j). Factor p(l).
3*l*(l + 2)
Let q(n) be the third derivative of -n**8/840 + n**7/525 + n**6/100 - n**5/150 - n**4/30 - 12*n**2. Suppose q(a) = 0. Calculate a.
-1, 0, 1, 2
Let v(f) be the third derivative of 0*f + 0 - 3*f**2 - 1/60*f**5 + 1/48*f**4 + 1/240*f**6 + 0*f**3. Solve v(r) = 0 for r.
0, 1
Let a(x) be the third derivative of 25*x**8/336 - 2*x**7/7 + 3*x**6/8 - x**5/6 + 35*x**2. Find d such that a(d) = 0.
0, 2/5, 1
Let y(u) be the first derivative of 15*u**4/4 - 4*u**3 + 7*u**2/2 + 1. Let t(l) = 14*l**3 - 11*l**2 + 6*l. Let i(w) = -6*t(w) + 5*y(w). Factor i(r).
-r*(3*r - 1)**2
Suppose -30 = -2*g - 0*g. Suppose -3*v = -6*v + g. Factor 3*m**3 - 3 + v*m + 2*m**2 - 8*m + 1.
(m - 1)*(m + 1)*(3*m + 2)
Let q(w) be the first derivative of -w**5/20 - w**4/4 - w**3/2 + w**2 + 2. Let k(l) be the second derivative of q(l). Factor k(a).
-3*(a + 1)**2
Find f such that 8/3*f**2 - 4/3*f**5 - 16/9*f**4 - 8/9 - 20/9*f + 32/9*f**3 = 0.
-2, -1, -1/3, 1
Find j such that -2/7*j**2 - 4/7 + 6/7*j = 0.
1, 2
Let c(a) = a**2 - 9*a + 9. Let b(x) = 5*x**2 + x**2 - 8 - x**2 - 6*x**2 + 8*x. Let r(m) = -5*b(m) - 4*c(m). What is n in r(n) = 0?
2
Let s(m) = 8*m + 0 + 4*m**2 + 2 - 3*m**2. Let h be s(-8). Factor 2*u**2 - 4*u**2 + 4 - 4*u + 3*u**h.
(u - 2)**2
Let h(q) be the third derivative of 0 - 1/10*q**5 + 4*q**2 - 1/105*q**7 + 1/20*q**6 + 0*q**3 + 1/12*q**4 + 0*q. Factor h(f).
-2*f*(f - 1)**3
Let n = 1 - -1. Let x(m) be the first derivative of 1 - 6 + n*m**3 + 1 - m**2. Factor x(z).
2*z*(3*z - 1)
Let h(a) be the third derivative of 1/20*a**6 + 0*a - a**2 - 1/105*a**7 + 0 - 1/168*a**8 + 1/6*a**5 + 1/6*a**4 + 0*a**3. Factor h(f).
-2*f*(f - 2)*(f + 1)**3
Let t(b) be the first derivative of b**6/4 - 9*b**4/8 - b**3 + 13. Determine p, given that t(p) = 0.
-1, 0, 2
Let b(i) = 11*i - 8*i**2 - 4 - 3*i - 3*i**3 + 7*i**3. Let t be -2 + (2 - 3 - 2). Let k(f) = 3*f**3 - 7*f**2 + 7*f - 3. Let o(x) = t*b(x) + 6*k(x). Factor o(a).
-2*(a - 1)*(a + 1)**2
Let y be -22*(-2 + 6/4). Let a be y/6 - 2/(-12). Factor 36*s**a - 80*s**4 + 11*s**2 + 16*s + 17*s**2 + 25*s**5 + 24*s**3.
s*(s - 2)**2*(5*s + 2)**2
Suppose -1 = -k - 5. Let n be 2/(2 - k/(-3)). Find a such that -4*a**n + 2*a**3 + a + a = 0.
-1, 0, 1
Let h(l) be the third derivative of 0*l**6 - 1/112*l**8 + 1/8*l**4 + 0*l + 0 - 1/35*l**7 + 0*l**3 + 1/10*l**5 - 2*l**2. Determine p so that h(p) = 0.
-1, 0, 1
Let i(j) be the second derivative of -1/66*j**4 + 0 + 0*j**2 + 0*j**3 + 1/231*j**7 - 3*j + 1/165*j**6 - 1/110*j**5. What is y in i(y) = 0?
-1, 0, 1
Suppose 2/3*p**3 + 8/3 - 2/3*p**5 - 14/3*p**2 + 0*p + 2*p**4 = 0. Calculate p.
-1, 1, 2
Let t = 2 + 0. Let x(n) = -n + 18. Let h be x(14). Factor -h - 3*s - s**t + 0*s**2 - s.
-(s + 2)**2
Let p(x) be the third derivative of -x**5/330 - x**4/44 - 2*x**3/33 + 7*x**2. Factor p(a).
-2*(a + 1)*(a + 2)/11
Let w(r) = r**2 - 28*r + 56. Let d be w(26). Factor 1/4*c**3 + 0*c**2 - 1/2*c**d + 0 - 2*c**5 + 0*c.
-c**3*(2*c + 1)*(4*c - 1)/4
Let v(t) be the third derivative of 2/21*t**3 + 0*t - 1/210*t**5 + 3*t**2 - 1/84*t**4 + 0. Let v(i) = 0. What is i?
-2, 1
Let v(o) = o + 1. Let q(x) = -x**2 + 9*x - 15. Let a(k) = 4*q(k) - 4*v(k). Factor a(b).
-4*(b - 4)**2
Let i be (12/(-16))/(20/96*-3). Solve 2/5*r**5 - i*r - 6/5*r**4 + 4/5*r**3 + 2/5 + 4/5*r**2 = 0 for r.
-1, 1
Factor -6/7*w**2 - 52/7*w - 32/7.
-2*(w + 8)*(3*w + 2)/7
Suppose 3 + 1 = p. Let w(v) be the second derivative of 0 + 1/12*v**p - 2*v + 1/3*v**2 + 7/18*v**3. Determine g, given that w(g) = 0.
-2, -1/3
Let s(w) = 20*w**2 + 15*w - 50. Let m(v) = -v**3 - v**2 - 1. Let y(q) = 5*m(q) - s(q). Find t such that y(t) = 0.
-3, 1
Factor -18*r - 21/2*r**2 + 6.
-3*(r + 2)*(7*r - 2)/2
Suppose 0 = -4*d - 5*n + 17, 3*d = 4*n + 5 - 0. Factor 2*m - 14*m**5 + 12*m**5 - 4*m - 3*m**3 + 7*m**d.
-2*m*(m - 1)**2*(m + 1)**2
Let o(a) be the third derivative of -a**7/840 + a**5/240 - 6*a**2. Solve o(u) = 0.
-1, 0, 1
Let l(z) be the third derivative of -z**11/1330560 + z**9/120960 - z**7/20160 - z**5/30 - z**2. Let r(w) be the third derivative of l(w). Solve r(s) = 0.
-1, 0, 1
Let d be 27/(-21) + 2/7. Let w be 0 - (-1)/(-3)*d. Let -w*z**2 + 0 - 1/3*z = 0. Calculate z.
-1, 0
Let x = 3 - -4. Let b = 13 - x. Let m(t) = -2*t**2 + 3*t + 5. Let d(z) = z**2 - 1. Let l(i) = b*d(i) + m(i). Find h such that l(h) = 0.
-1, 1/4
Let w(a) be the first derivative of a**6/10 + a**5/5 + a**4/20 - a**3/15 - 13. Factor w(s).
s**2*(s + 1)**2*(3*s - 1)/5
Let o(r) be the first derivative of 0*r - r**2 - 1/120*r**6 + 0*r**3 + 1/24*r**4 - 2 + 0*r**5. Let u(w) be the second derivative of o(w). Solve u(f) = 0 for f.
-1, 0, 1
Let v = -19/15 + 13/5. Let 0*k - v*k**3 + 0*k**2 + 0 + 14/3*k**4 = 0. Calculate k.
0, 2/7
Suppose 5*z - 8 = 2*s, 0 = z - 3*z + 4*s. Solve -7*w**4 + z*w**2 + 5*w**4 + 4*w**3 - 4*w**2 = 0 for w.
0, 1
Suppose 0 = 2*j - 0 - 6. Determine s so that -2*s**2 + j - 2 - 3 - 4*s = 0.
-1
Let v(w) be the third derivative of w**9/26460 + w**8/11760 - w**7/4410 - w**6/1260 + w**4/8 + 4*w**2. Let g(h) be the second derivative of v(h). Factor g(i).
4*i*(i - 1)*(i + 1)**2/7
Let t(u) be the third derivative of -u**8/5760 + u**7/1120 - u**6/720 - 7*u**5/60 + 7*u**2. Let g(w) be the third derivative of t(w). Factor g(l).
-(l - 1)*(7*l - 2)/2
Suppose -a + 3*a = 0, -3*l - 2*a = 6. Let v(y) = -5*y**4 - 4*y**3 - 5*y**2. Let q(t) = 21*t**4 + 15*t**3 + 21*t**2. Let z(w) = l*q(w) - 9*v(w). Factor z(p).
3*p**2*(p + 1)**2
Let j(i) be the second derivative of -i**4/3 - 20*i**3/3 - 50*i**2 + 12*i. Let j(m) = 0. What is m?
-5
Let c(t) = 32*t**4 - 10*t**3 + 8*t**2 - 6*t - 6. Let k(o) = o**3 + o**2 - o - 1. Let l(u) = 2*c(u) - 12*k(u). Let l(w) = 0. Calculate w.
0, 1/4
Let s(p) = 0 + p - 5*p - 6*p**2 + 4*p**3 + 4. Let i(j) = 2*j - 3. Let z be i(2). Let x(n) = n**3 - n**2 - n. Let q(w) = z*s(w) - 2*x(w). Factor q(u).
2*(u - 2)*(u - 1)*(u + 1)
Let g be (0 - -1) + (-12999)/12957. Let p = g + 5563/3085. Factor 0 + 9/5*o**4 + 0*o + 3/5*o**2 - 3/5*o**5 - p*o**3.
-3*o**2*(o - 1)**3/5
Factor -29*j**2 + 3 + 3*j - 2*j + 25*j**2 + j - 2*j**3 + j**4.
(j - 3)*(j - 1)*(j + 1)**2
Let k be -2 - ((-1)/1 + -2). Let -2*g**4 + 4*g + g**4 + k + 2*g**4 + 4*g**3 + 6*g**2 = 0. What is g?
-1
Let r(u) = u - 5. Let g be r(7). Let j(z) be the first derivative of 8/3*z + 2/9*z**3 - 4/3*z**g + 1. Solve j(c) = 0.
2
Factor 0 + 0*k - 2/3*k**2 + 2/3*k**4 + 0*k**3.
2*k**2*(k - 1)*(k + 1)/3
Let s be ((-10)/(-5))/((-2)/(-32)). Let x be s/280 - (-2)/7. Let -x - b**2 + 7/5*b = 0. What is b?
2/5, 1
Let w(v) = 8*v**2 - 8*v + 4. Let a(s) = s**2 + s - 1. Let d(u) = 15*u**2 - 3*u - 1. Let x(t) = -6*a(t) + d(t). Let z(b) = 5*w(b) - 4*x(b). Solve z(l) = 0 for l.
0, 1
Suppose -w - 2*l - 22 = -6*w, 5*l = 2*w - 13. Let n be (-4)/10*(-5)/w. Solve -1/4*x**3 - 1/4*x**4 + 1/4*x + 3/4*x**2 - n = 0.
-2, -1, 1
Let k(z) be the first derivative of -z**5/15 