 Suppose -4/9*h**3 + 4/9*h**2 - 2/9*h**4 - m + 2/9*h + 2/9*h**5 = 0. What is h?
-1, 1
Let s(c) be the first derivative of -5*c**4/28 - c**3/3 + 4*c**2/7 + 4*c/7 - 57. Suppose s(i) = 0. What is i?
-2, -2/5, 1
Let b be 108/30 + 2/5. Factor 0 + 2 - b*x**2 + x**2 + x**2.
-2*(x - 1)*(x + 1)
Let t = 10 + -5. Factor 0*c**5 + t*c**5 - 12*c**4 - 3*c**2 - c**2 + 2*c**2 + 9*c**3.
c**2*(c - 1)**2*(5*c - 2)
Let b(i) be the third derivative of -i**7/210 + 3*i**5/10 - 27*i**3/2 + 21*i**2. Factor b(k).
-(k - 3)**2*(k + 3)**2
Let s(c) be the second derivative of -c**5/60 - c**4/36 + 5*c**3/18 - c**2/2 + 12*c. Factor s(l).
-(l - 1)**2*(l + 3)/3
Suppose -k - 26 = 3*o, 0 = -o + 3*k + 2 - 4. Let x = -4 - o. Solve 6*f**3 - 3*f**x + 7*f**2 - 3*f**5 - 3*f - 2 - 1 - f**2 = 0 for f.
-1, 1
Let q(i) = i**2 - 7*i - 6. Let b be q(8). Factor -b + v**2 + 3*v**2 + 3*v**2 - 3*v**2 - 2*v**4.
-2*(v - 1)**2*(v + 1)**2
Let d be ((18/24)/(-4 + 1))/(-1). Factor d - 1/4*b**2 + 0*b.
-(b - 1)*(b + 1)/4
Suppose 3*w - 3 = 9. Let p(b) = -b**2 + 4*b + 3. Let z be p(w). Factor -7/3*v**2 + 5*v**z + 1/3*v - 13/3*v**4 + 4/3*v**5 + 0.
v*(v - 1)**3*(4*v - 1)/3
Let u = -5 + 11. Let f(c) be the second derivative of -1/18*c**4 + 1/30*c**5 - 1/63*c**7 + 1/45*c**u + 0*c**3 + 0 + 0*c**2 - c. Find j such that f(j) = 0.
-1, 0, 1
Let s(r) be the second derivative of 0*r**2 + 3*r + 1/60*r**5 + 0 - 1/72*r**6 + 2/3*r**3 + 0*r**4. Let f(x) be the second derivative of s(x). Factor f(l).
-l*(5*l - 2)
Solve -2/7*q**2 + 4/7 - 2/7*q = 0.
-2, 1
Suppose 3*r - 6*r + 12 = 0. Suppose -4*n = -2*n - r. Solve 0*k**3 + 5*k**n - 3*k**3 + 2*k**3 - 6*k**2 = 0.
-1, 0
Let p(u) = -9 + 1 - u + 3. Let z be p(-5). Factor 1/4*d**5 + 0 + 1/4*d**3 + 0*d + 1/2*d**4 + z*d**2.
d**3*(d + 1)**2/4
Determine n so that -1/3 + 1/6*n + 1/6*n**2 = 0.
-2, 1
Let d be 1*-3*((-12)/18)/1. Let t(v) be the second derivative of 1/20*v**5 + 0*v**d + 3*v + 1/30*v**6 + 0*v**4 + 0*v**3 + 0. Solve t(x) = 0 for x.
-1, 0
Solve -8 + 20/3*m + 4/3*m**2 = 0.
-6, 1
Let h(b) = b**2 + b + 1. Let v(u) = 4*u**2 - 36*u + 8. Let l(w) = -8*h(w) + v(w). Determine o, given that l(o) = 0.
-11, 0
Let w(m) be the third derivative of m**5/30 - m**4/3 + 4*m**3/3 + 55*m**2. Suppose w(b) = 0. Calculate b.
2
Let a(p) = p**3 + p**2 - 6*p + 4. Let j be a(-3). Let n(m) be the second derivative of 0*m**j + 0 + 2*m + 0*m**2 + 1/80*m**5 + 0*m**3 - 1/120*m**6. Factor n(z).
-z**3*(z - 1)/4
Let f(z) be the third derivative of z**7/70 - z**6/20 + z**4/4 - z**3/2 + 7*z**2. Solve f(s) = 0 for s.
-1, 1
Let s(z) = -2*z**2 + 2. Let t(w) = 4*w**2 + w - 3. Suppose 6 = 6*j - 7*j. Let c(x) = j*t(x) - 11*s(x). Determine n so that c(n) = 0.
-2, -1
Let i(p) = -p - 3. Let f be i(-8). Factor -5*h**3 + 4*h**3 - 6*h**3 - 28*h**4 - h**3 + 36*h**f.
4*h**3*(h - 1)*(9*h + 2)
Let l(j) be the first derivative of j**5/80 - j**4/24 + j**3/24 - 3*j - 1. Let b(g) be the first derivative of l(g). Factor b(o).
o*(o - 1)**2/4
Let m(q) be the first derivative of -1/8*q**4 + 0*q + 1/10*q**5 + 1/18*q**3 + 0*q**2 + 7 - 1/36*q**6. Determine k, given that m(k) = 0.
0, 1
Let o(f) = 2*f**2 - 13*f - 7. Let q be o(7). Solve 0*u - 1/3*u**5 - u**3 + u**4 + 1/3*u**2 + q = 0.
0, 1
Let f(l) be the first derivative of 1/3*l**3 + 9*l + 4 + 3*l**2. Factor f(g).
(g + 3)**2
Solve -2/7*m + 2/7*m**2 - 4/7 = 0 for m.
-1, 2
Let i(l) be the second derivative of -l**7/147 - 4*l**6/105 - l**5/35 + 2*l**4/21 + l**3/7 + 6*l. Find d, given that i(d) = 0.
-3, -1, 0, 1
Let p be 5 - (2 + 0 - 1). Let h = -2 + p. Suppose 2*w**4 - 4*w**3 + 2*w**h + 2*w - 2*w = 0. Calculate w.
0, 1
Let r(f) be the first derivative of -7 + 0*f**2 + 1/14*f**4 + 0*f + 5/21*f**6 + 16/35*f**5 - 4/21*f**3. Factor r(y).
2*y**2*(y + 1)**2*(5*y - 2)/7
Let y be 1 + (12 - (-2 - -5)). Suppose y = 6*r - r. Find u such that -4 + 6*u + 0*u - 8*u + 16*u**r - 12*u**4 + 2*u**3 = 0.
-1, -1/2, 2/3, 1
Factor 0 + 0*v**2 - 3/5*v**3 + 3/5*v.
-3*v*(v - 1)*(v + 1)/5
Let o(u) be the second derivative of -u**8/2240 + u**7/420 - u**6/240 + u**4/3 + u. Let j(w) be the third derivative of o(w). Let j(m) = 0. What is m?
0, 1
Solve -25/2*r + 0 + 5/2*r**2 = 0 for r.
0, 5
Solve 9/10 - 3/10*n - 1/10*n**3 - 1/2*n**2 = 0.
-3, 1
Factor 6*x**2 + 50 + 30*x + 2/5*x**3.
2*(x + 5)**3/5
Let g(o) be the first derivative of o**7/14 - 3*o**5/10 + o**3/2 + 5*o - 4. Let a(z) be the first derivative of g(z). Factor a(f).
3*f*(f - 1)**2*(f + 1)**2
Suppose -3*n = -5*r + 38, 16 - 30 = -3*r + 4*n. Suppose -r*k**2 + 8/3 + 8/3*k**3 + 8*k = 0. Calculate k.
-1/4, 2
Factor 9 - 3/2*m**2 + 15/2*m.
-3*(m - 6)*(m + 1)/2
Suppose -5*a - s + 9 = 0, 6*a - 9*a = -2*s - 8. Solve 2/7*h - 2/7*h**a + 0 = 0.
0, 1
Suppose 3*v - 7*v = 0. Let q(n) be the second derivative of 0*n**2 - 1/80*n**5 + v + 3*n + 0*n**3 - 1/48*n**4. Let q(r) = 0. Calculate r.
-1, 0
Let v(d) be the first derivative of -7*d**6/540 - d**5/90 - d**3/3 + 1. Let y(p) be the third derivative of v(p). Factor y(u).
-2*u*(7*u + 2)/3
Let n be (-2990 - 1)/((-2241)/(-2)). Let y = -2/747 - n. Factor -y - 2/3*o**2 - 8/3*o.
-2*(o + 2)**2/3
Let c(g) be the first derivative of 2*g**6/3 - 8*g**5/5 - 3*g**4 + 32*g**3/3 - 8*g**2 + 2. Solve c(v) = 0.
-2, 0, 1, 2
Let j(v) be the first derivative of -v**9/3024 + v**8/840 - v**6/180 + v**5/120 - v**3 + 3. Let k(s) be the third derivative of j(s). Factor k(a).
-a*(a - 1)**3*(a + 1)
Find d such that d**5 + 3 + d**4 - 3*d**3 - 3 - 6*d + 4*d - 5*d**2 = 0.
-1, 0, 2
Suppose v + 2*o = -8, -3*v = -2*v - o - 7. Factor -38/7*w**4 - 2/7*w**v - 4/7*w + 2*w**5 + 30/7*w**3 + 0.
2*w*(w - 1)**3*(7*w + 2)/7
Let l(b) be the third derivative of -b**7/70 + b**6/20 - b**5/20 - 5*b**2. Factor l(q).
-3*q**2*(q - 1)**2
Suppose 4*z - s - 3*s - 40 = 0, 3*s = z - 20. Suppose -b + 6*b**3 + 0 + 37/2*b**4 + 10*b**z - 7/2*b**2 = 0. What is b?
-1, -1/4, 0, 2/5
Let m(p) be the third derivative of p**7/126 - p**6/36 + p**5/36 + 7*p**2. Find a, given that m(a) = 0.
0, 1
Suppose 3*g + 4*u = 18 + 26, -2*u - 14 = -3*g. Let a = g - 6. Factor -a*x**3 + 4*x**4 - 8*x - 5*x**4 + 1 + 10*x.
-(x - 1)*(x + 1)**3
Let z(j) = 2*j**2 + 14*j. Let t(d) = -d**2 - d. Let k(s) = -6*t(s) - z(s). Let k(o) = 0. What is o?
0, 2
Suppose -15 = -2*b + 5*b. Let t be (b/(-20))/(2/2). Determine c so that -t*c**2 + 0*c + 1/4 = 0.
-1, 1
Find y such that 24*y**2 - 171*y**2 + 176*y - 5*y + 81*y - 108 = 0.
6/7
Let x be (-4)/(-14)*1/1. Let y be 16/8 + -3 + 4*1. Solve 0 + x*v**y + 4/7*v**2 + 2/7*v = 0 for v.
-1, 0
Let n be -1 - 0 - (1 + -4). Factor -d**3 - n*d**3 + 4*d**3 + 0*d - d.
d*(d - 1)*(d + 1)
Solve -3/5*q + 6/5*q**4 + 6/5*q**3 + 6/5 - 3/5*q**5 - 12/5*q**2 = 0 for q.
-1, 1, 2
Let o(d) be the third derivative of d**5/60 + d**4/6 - 5*d**3/6 + 14*d**2. Factor o(a).
(a - 1)*(a + 5)
Suppose -56 = 4*q + 484. Let y be 4/6 + (-342)/q. What is w in 9/5*w**3 + 21/5*w**2 + y*w + 4/5 = 0?
-1, -2/3
Let s(c) = -3*c + 4. Let f be s(0). Let j(i) be the second derivative of 0*i**2 + 0 - 1/12*i**5 - 2*i - 1/9*i**3 + 7/36*i**f. Find n such that j(n) = 0.
0, 2/5, 1
Factor 9/2*r + 1/4*r**2 - 19/4.
(r - 1)*(r + 19)/4
Let r(i) be the third derivative of -i**7/1365 + i**6/390 + i**5/130 - i**4/39 - 4*i**3/39 - 4*i**2. Determine d, given that r(d) = 0.
-1, 2
Let k(n) be the third derivative of n**8/336 + n**7/105 - n**5/30 - n**4/24 - 11*n**2. Factor k(i).
i*(i - 1)*(i + 1)**3
Let w(i) = i**2 - 10*i + 11. Let g be w(9). Factor 2*l + 13*l**g - 3*l + 8*l**2 - 2*l.
3*l*(7*l - 1)
Let p(s) be the second derivative of 1/6*s**4 + 0*s**5 + 0*s**2 + 0*s**3 - 1/15*s**6 - 2*s + 0. Factor p(a).
-2*a**2*(a - 1)*(a + 1)
Factor 3*h**2 + 4*h**5 - 2*h**2 - 5*h**2 - 12*h**3 + 8*h + 4*h**4.
4*h*(h - 1)**2*(h + 1)*(h + 2)
Let f = 2 - 6. Let g = 0 - f. Factor -3*s**5 + 9*s**g - 3*s**3 + 9*s - 6*s**2 - s**3 - 2*s**3 - 3.
-3*(s - 1)**4*(s + 1)
Let p(g) be the second derivative of -g**5/5 - 8*g**4/3 - 46*g. Factor p(n).
-4*n**2*(n + 8)
Let w(i) be the first derivative of 7*i**6/36 + 3*i**5/10 - 5*i**4/24 - i**3/2 - i**2/6 - 2. Let w(j) = 0. What is j?
-1, -2/7, 0, 1
Let a(s) be the second derivative of -3*s - 1/110*s**5 + 1/33*s**3 + 0*s**2 + 0 + 1/165*s**6 - 1/66*s**4. Factor a(l).
2*l*(l - 1)**2*(l + 1)/11
Let v(z) = z**3 + 5*z**2 + 5*z + 8. Let x be v(-4). Let s(j) be the first derivative of 0*j + 2/9*j**3 - 2 + 1/12*j**x + 1/6*j**2. Let s(k) = 0. Cal