 derivative of i**8/784 + i**7/245 + i**6/280 + 10*i**2. Let o(q) = 0. What is q?
-1, 0
Let m = 3194/81 + 19/81. Let p = 40 - m. Factor -p*r - 1/3*r**2 + 2/3.
-(r - 1)*(r + 2)/3
Suppose 4 = 5*r - 3*r. Factor 2*v**4 - r*v**2 + 3*v**4 + 4*v**2 - 7*v**3.
v**2*(v - 1)*(5*v - 2)
Let w(q) = -q**3 - 6*q**2 + q + 13. Let i be w(-6). Suppose i*g = 3*g + 12. Determine k, given that -1/4*k - k**4 + 0 + 1/4*k**g + k**2 = 0.
-1, 0, 1/4, 1
Suppose -11 + 5 = -2*q. Let n(v) = -v + 11. Let h be n(8). Find u, given that -4*u**5 + q + 3*u**4 - 5*u**5 - 3*u**5 + 24*u**3 - h*u**2 - 12*u - 3*u**2 = 0.
-1, 1/4, 1
Suppose 12/7*j**2 - 2/7*j**3 - 24/7*j + 16/7 = 0. What is j?
2
Suppose 146 + 46 - 380*p + 140*p - 3*p**3 + 51*p**2 = 0. What is p?
1, 8
Let d(s) = -s**2 - 5*s - 2. Let z be d(-4). Factor 0*r**2 + 4*r**3 + r - 3*r**3 - z*r**2.
r*(r - 1)**2
Let s(p) be the second derivative of -3/130*p**5 - 5/78*p**4 + 0 + 2/39*p**3 + 4*p + 0*p**2. Factor s(g).
-2*g*(g + 2)*(3*g - 1)/13
Let h(j) be the first derivative of 25*j**4/24 - 35*j**3/9 + 11*j**2/3 - 4*j/3 + 17. Solve h(d) = 0 for d.
2/5, 2
Let g(c) be the third derivative of -c**8/6720 + c**7/840 - c**6/360 + c**4/12 - c**2. Let k(n) be the second derivative of g(n). Factor k(u).
-u*(u - 2)*(u - 1)
Let f(b) be the third derivative of 1/240*b**5 + 1/96*b**4 - 1/3*b**3 - 3*b**2 + 0 + 0*b + 1/1440*b**6. Let z(k) be the first derivative of f(k). Factor z(v).
(v + 1)**2/4
Suppose 0 = 6*o - 4*o + 4*m - 24, m = o + 3. Factor -2*b**o - 4*b**5 - b**3 + 6*b**2 - 4*b**4 + 6*b**5 - b**3.
2*b**2*(b - 2)*(b - 1)*(b + 1)
Suppose -5*h = -27 + 2, -3*h = 5*d - 30. Let o(v) be the first derivative of -7/4*v**d - 1 - 3/2*v - 27/8*v**2. Factor o(j).
-3*(j + 1)*(7*j + 2)/4
Let t(u) be the second derivative of u**8/840 - u**6/90 + u**4/12 + u**3/3 - 2*u. Let g(a) be the second derivative of t(a). Let g(q) = 0. What is q?
-1, 1
Suppose -2*w - 5*t - 7 = 7, 1 = -5*w - 4*t. Solve -2*j**3 - 3*j + j**4 + 2*j - j**3 + w*j**2 = 0 for j.
0, 1
Let b(y) = y**5 + y**4 + y**3 - 1. Let n(u) = -16*u**4 - 5*u**5 + 10 - 5*u**2 - 4*u**3 + u**2 + 2*u**2 - 3*u**5. Let z(q) = -10*b(q) - n(q). Factor z(r).
-2*r**2*(r - 1)**3
Let y(c) be the first derivative of -8*c**3/33 - 20*c**2/11 - 50*c/11 + 3. Suppose y(o) = 0. What is o?
-5/2
Let d(h) be the first derivative of h**4/7 + 16*h**3/21 - 25. Factor d(l).
4*l**2*(l + 4)/7
Let d(j) be the second derivative of -2*j**4/9 - 10*j**3/9 - 2*j**2 - 20*j. Factor d(s).
-4*(s + 1)*(2*s + 3)/3
Let b = 10 - 3. Let m(x) be the second derivative of -2*x - 3/14*x**b + 0*x**2 + 0 - 4/5*x**5 - 1/3*x**4 - 7/10*x**6 + 0*x**3. Factor m(z).
-z**2*(z + 1)*(3*z + 2)**2
Let l(h) = h**2 - 5*h - 4. Let d be l(6). Determine x so that -3 + x**2 - 11*x**3 + 3*x + 2 + 8*x**4 - d*x**4 + 2*x**2 = 0.
-1/2, 1/3, 1
Determine p so that 7/3*p**5 + 40/3*p**2 - 16/3 - 16*p - 11*p**4 + 32/3*p**3 = 0.
-1, -2/7, 2
Let u(q) be the second derivative of -q**4/30 - q**3/5 - 2*q**2/5 + 9*q. Factor u(k).
-2*(k + 1)*(k + 2)/5
Let c = -853/60 - -57/4. Let j(y) be the third derivative of -1/75*y**6 + 2*y**2 - 7/150*y**5 + 0*y**3 + 0*y + c*y**4 + 0. Factor j(q).
-2*q*(q + 2)*(4*q - 1)/5
Let n(x) be the first derivative of 1/4*x**3 + 1/4*x + 1/16*x**4 + 3/8*x**2 - 4. Find h, given that n(h) = 0.
-1
Let k(h) be the third derivative of h**7/1260 - h**5/360 - 12*h**2. Suppose k(b) = 0. What is b?
-1, 0, 1
Suppose -195*x + 201*x = 12. Find z such that -16/3*z - 14/3*z**2 - x - 4/3*z**3 = 0.
-3/2, -1
Suppose v - 4*r = -18, 9 = -2*v - 4*r - 3. Let x be (-15)/v - 6/4. Factor x*n + 0 + 2/7*n**2 - 8/7*n**3.
-2*n**2*(4*n - 1)/7
Factor 0 + 0*n**2 - 14/5*n**4 - 2*n**5 + 0*n - 4/5*n**3.
-2*n**3*(n + 1)*(5*n + 2)/5
Let g be (3/((-12)/1532))/(-203). Let w = g + -5/29. Let 2/7 - w*r + 18/7*r**2 = 0. Calculate r.
1/3
Let l(q) be the third derivative of 1/245*q**7 - 1/105*q**5 + 1/28*q**4 - 1/21*q**3 - 1/210*q**6 + q**2 + 0*q - 1/1176*q**8 + 0. Factor l(d).
-2*(d - 1)**4*(d + 1)/7
Suppose 0 - 1/3*b**3 + 0*b - 1/3*b**2 = 0. Calculate b.
-1, 0
Let z(b) be the third derivative of 0*b + 0*b**5 + 1/315*b**7 - 6*b**2 + 0*b**3 + 0 + 0*b**4 - 1/180*b**6 - 1/2016*b**8. What is p in z(p) = 0?
0, 2
Let j(a) be the second derivative of a**5/10 - a**4/6 + 7*a. What is s in j(s) = 0?
0, 1
Let p(z) = -2*z**4 + 4*z**3 + 6*z**2 - 4*z - 6. Let i(j) = 4*j**4 - 9*j**3 - 12*j**2 + 9*j + 13. Let d(h) = -2*i(h) - 5*p(h). Factor d(f).
2*(f - 2)*(f - 1)*(f + 1)**2
Solve -1/2*a**4 + 0*a**2 + 0*a - 1/2*a**3 + 0 = 0.
-1, 0
Let o(m) = 2*m**3 + m**2 - 2*m + 1. Let f be o(1). Suppose 5 - 3*h + 0*h + h**f - 3 = 0. Calculate h.
1, 2
Let x(v) be the second derivative of v**4/24 + v**3/24 + 14*v. Factor x(s).
s*(2*s + 1)/4
Let w = -15 + 18. Let g(a) be the second derivative of -1/7*a**w + 2/7*a**2 - 3*a + 1/42*a**4 + 0. Factor g(j).
2*(j - 2)*(j - 1)/7
Solve -2*n - 2/5*n**2 + 0 = 0 for n.
-5, 0
Let w(k) = -5*k**3 + 21*k**2 + 6. Let v(i) = -15*i**3 + 62*i**2 + 17. Let b(u) = -6*v(u) + 17*w(u). Determine n so that b(n) = 0.
0, 3
Solve -2/3*x + 2/3*x**2 - 4/3 = 0.
-1, 2
Let w(r) = -31*r**4 - 52*r**3 - 11*r**2 + 10*r. Let p(l) = 92*l**4 + 155*l**3 + 34*l**2 - 29*l. Let c = -19 + 8. Let d(j) = c*w(j) - 4*p(j). Factor d(f).
-3*f*(f + 1)**2*(9*f - 2)
Suppose 3*m = 10 - 1, -s + 5*m = 15. Suppose -3*p = 5*x - 0*p - 13, -4*x + 2*p + 6 = s. Determine r, given that -4 + r**2 - 3*r**2 - 6*r**2 + 10*r + x*r**3 = 0.
1, 2
Let u(p) be the third derivative of -1/36*p**4 + 1/180*p**6 - p**2 + 0*p + 0*p**3 + 0 + 1/60*p**5 - 1/210*p**7. Factor u(f).
-f*(f - 1)*(f + 1)*(3*f - 2)/3
Let m = -1316096 + 935744432/711. Let u = m - 2/79. Factor -2/9*v**3 + 0*v - u*v**2 + 0.
-2*v**2*(v + 1)/9
Determine j so that 109*j**3 - 109*j**3 + 5*j**4 - 3*j**4 - 4*j**5 = 0.
0, 1/2
Let l(b) be the first derivative of -b**4 + 2*b**3/3 + b**2/2 + 2. Let g be l(-1). Solve 2*c**3 - c**4 + 2*c**4 - 5*c**4 + 2*c**g = 0.
0, 1
Let s(m) be the first derivative of -m**6/45 + 2*m**5/25 - m**4/10 + 2*m**3/45 + 33. Suppose s(f) = 0. Calculate f.
0, 1
Let i be ((-592)/24)/((-4)/6). Let f = 113/3 - i. Factor f*r**2 - 2*r + 4/3.
2*(r - 2)*(r - 1)/3
Factor -7*h**2 + 5 + 10*h + 22*h**2 - 18*h**2 - 12*h**2.
-5*(h - 1)*(3*h + 1)
Let j(p) be the first derivative of 2*p**3/9 + 2*p**2 + 10*p/3 - 26. Factor j(x).
2*(x + 1)*(x + 5)/3
Let d(z) be the second derivative of -1/80*z**5 + 0*z**2 + 0 - 1/24*z**4 + 1/120*z**6 + 0*z**3 - z. Factor d(l).
l**2*(l - 2)*(l + 1)/4
Let p(u) = u**5 + 6*u**4 - 2*u**3 - 8*u**2 - 3*u - 2. Let w(m) = 3*m**5 + 24*m**4 - 9*m**3 - 33*m**2 - 12*m - 9. Let z(f) = -9*p(f) + 2*w(f). Factor z(r).
-3*r*(r - 1)*(r + 1)**3
Let f = -52 + 55. Solve 2/7*d**f + 4/7*d**2 + 0*d + 0 = 0 for d.
-2, 0
Let q(z) be the first derivative of z**4/18 + 4*z**3/27 - z**2/3 - 11. Suppose q(s) = 0. What is s?
-3, 0, 1
Find d such that 3*d**2 - 16*d + d**2 + 0*d**2 + 16 + 0*d**2 = 0.
2
Let x be (-104)/(-234) - (-19)/18. Suppose x*k**2 + 24 + 12*k = 0. Calculate k.
-4
Let k = 444873/7 - 63670. Let q = 117 + k. Determine c so that 4/7*c + 2/7*c**2 + q = 0.
-1
Suppose 16 = 3*i - i. Find f, given that -3*f - i + 6 + f**2 + 4 = 0.
1, 2
Let s(o) be the third derivative of o**5/60 - o**4/12 + 6*o**2. Factor s(x).
x*(x - 2)
Let s be (2/6)/((-1)/(-6)). Let i(t) = t**2 - t - 4. Let p be i(3). Factor -2*q**2 + 0*q**2 + 3*q**p - 2*q**s.
-q**2
Let c = 15 - 11. Let m be 11/c + 6/(-8). What is w in w - 11 - m*w**2 + 9 - 4*w - w = 0?
-1
Suppose 3*r = 2*r + 57. Find y, given that -7 - r - 5*y**2 + 32*y + y**2 = 0.
4
Suppose 4*s - 3*p = 17, s - 2*p - 3 = -0*p. Suppose -s*r + 0 + 15 = 0. Factor -3/2*f - 1/2*f**r + 1/2 + 3/2*f**2.
-(f - 1)**3/2
Let y(q) be the third derivative of -q**8/840 - q**7/840 + q**6/180 + q**5/120 + 2*q**3/3 - 3*q**2. Let u(a) be the first derivative of y(a). Factor u(g).
-g*(g - 1)*(g + 1)*(2*g + 1)
Factor s**2 + 0 - 1 - 2*s**2 + 2.
-(s - 1)*(s + 1)
Let q(x) = x + 1. Let d = 3 - 5. Let s = 8 + d. Let i(j) = -2*j**2 - 6*j - 6. Let z(h) = s*q(h) + i(h). Factor z(n).
-2*n**2
What is w in -4/19*w**2 - 4/19 + 10/19*w = 0?
1/2, 2
Solve 3*v**3 - v + 5*v**3 - 27*v**4 + 15*v**4 - 2*v**2 + 3*v**2 = 0.
-1/3, 0, 1/2
Let s(q) be the first derivative of 2*q**5/15 - 4*q**3/9 + 2*q/3 - 10. What is w in s(w) = 0?
-1, 1
Suppose -7*y = -4*y + 804. Let u = y - -1349/5. Solve -3/5*h**4 + 0 