 1 = l. What is b in -4*b**2 + 2*b**2 + 2*b**l - b + 2*b**5 - 2*b**3 + b = 0?
-1, 0, 1
Let i be (-4)/(0 + 2/(-1)). Factor 7*z**2 + 0*z**i - 4*z - 9*z**2.
-2*z*(z + 2)
Let t(h) be the third derivative of -h**8/6720 + h**6/1440 - h**3/6 - 2*h**2. Let k(l) be the first derivative of t(l). Factor k(b).
-b**2*(b - 1)*(b + 1)/4
Let m(s) = -4*s**4 + 16*s**3 - 18*s**2. Let d(c) = 12*c**4 - 48*c**3 + 55*c**2. Let j(n) = 2*d(n) + 7*m(n). Factor j(r).
-4*r**2*(r - 2)**2
Let j(p) = 2*p**3 - 2*p**2 - 6*p + 6. Let d be j(2). What is s in -3/2*s**4 - 3/2*s**3 + 0*s + 0 + 0*s**d = 0?
-1, 0
Factor 8/9*b + 0 - 8/9*b**2 + 2/9*b**3.
2*b*(b - 2)**2/9
Let w be ((-8)/(2 - -2))/((-16)/1). Let p(o) be the first derivative of 1/16*o**4 - w*o**2 + 1/2*o + 3/20*o**5 - 5/12*o**3 - 3. Solve p(m) = 0.
-1, 2/3, 1
Let v(c) be the third derivative of -c**8/13440 - c**7/2520 + c**4/8 + c**2. Let i(y) be the second derivative of v(y). Factor i(w).
-w**2*(w + 2)/2
Let i(b) = b. Let v(n) = 3*n**2 + 18*n + 75. Let r(x) = 12*i(x) + v(x). Factor r(o).
3*(o + 5)**2
Determine o, given that -8/5*o**2 - 4/5 + 2/5*o**3 + 2*o = 0.
1, 2
Factor 27/5*l**2 + 0 + 6/5*l + 21/5*l**3.
3*l*(l + 1)*(7*l + 2)/5
Factor 3/2*r - 9/4 - 1/4*r**2.
-(r - 3)**2/4
Let a(o) be the first derivative of -o**4/14 + 4*o**3/21 + 7. Solve a(d) = 0.
0, 2
Let n(f) be the first derivative of -f**6/180 + f**5/60 - f**4/72 + f - 3. Let u(a) be the first derivative of n(a). Factor u(h).
-h**2*(h - 1)**2/6
Let u(f) be the third derivative of 0*f - 3*f**2 - 1/42*f**4 + 1/210*f**5 + 0 + 0*f**3. Determine s, given that u(s) = 0.
0, 2
Let k(b) be the second derivative of 13/6*b**3 + 0 - 5*b - 11/12*b**4 - b**2. Suppose k(o) = 0. What is o?
2/11, 1
Suppose 3*d = -3*j - 6, j = d + 2*d - 2. Suppose d*u - 12 = -4*u. Let -3/2*f**2 - 1/2*f**4 + 0 + 1/2*f + 3/2*f**u = 0. What is f?
0, 1
Let o(s) = s**2 - 4*s. Let k be o(5). Determine w, given that -18*w - 3*w**2 + 5*w**2 - k*w**2 - 2 - 25 = 0.
-3
Let u(w) = 3*w. Let j be u(1). Factor 12*y**2 - j*y - 21/4*y**3 + 0.
-3*y*(y - 2)*(7*y - 2)/4
Let i(n) be the first derivative of -1/15*n**2 - 2/45*n**3 + 4 + 0*n. Factor i(o).
-2*o*(o + 1)/15
Factor -5*n**2 + 4*n**2 - 2*n**2 + 5*n**2.
2*n**2
Let x(b) be the second derivative of b**4/72 - 11*b**3/36 + 5*b + 4. Factor x(c).
c*(c - 11)/6
Suppose 2*r - 3 = r. Let b(k) = 3*k**2 - 5*k - 8. Let f(i) = i**2 - 2*i - 3. Let x(m) = r*b(m) - 8*f(m). Factor x(z).
z*(z + 1)
Let s be -3 - 1*303/(-9). Let o = s + -30. Factor -1/3*x**2 - 1/3 - o*x.
-(x + 1)**2/3
Let w = 2 + -4/3. Find m, given that 0 - 5/3*m**2 - w*m + 7/3*m**3 = 0.
-2/7, 0, 1
Let r be (-45)/12 - (2 + -6). Factor 0 + 1/4*i + r*i**2.
i*(i + 1)/4
Let s(y) be the second derivative of -y**8/23520 - y**7/2940 + y**5/105 - y**4/6 + y. Let n(z) be the third derivative of s(z). Find b, given that n(b) = 0.
-2, 1
Suppose 5*w - 4*u = -4, 3*w - u = 10 - 11. Factor 0*c + 2/7*c**2 - 4/7*c**3 + w + 2/7*c**4.
2*c**2*(c - 1)**2/7
Let i(s) be the third derivative of 0*s + 0*s**3 + 0*s**4 + 1/1050*s**7 + 0*s**5 + 4*s**2 - 1/600*s**6 + 0. Suppose i(d) = 0. What is d?
0, 1
Let i be 2/2 + 2 + 1. Let k = -9 - -18. Find n such that 11*n**3 - 16*n**4 - 2*n - 6*n**2 + i*n**2 + k*n**3 = 0.
-1/4, 0, 1/2, 1
Solve 2/11*f**2 - 12/11 + 2/11*f = 0 for f.
-3, 2
Let i(v) be the first derivative of 2*v**3/21 - 4*v**2/7 - 10*v/7 + 5. Factor i(c).
2*(c - 5)*(c + 1)/7
Suppose -11 = -m - 5. Let i(h) be the third derivative of -1/75*h**7 + 0*h - 2/15*h**5 + 0 + 2/15*h**4 + 0*h**3 + 3/50*h**m + 2*h**2 + 1/840*h**8. Factor i(p).
2*p*(p - 2)**3*(p - 1)/5
Factor 0 + 2/5*u**2 + 2*u.
2*u*(u + 5)/5
Let w be (-4)/(-12) - (-3 - -3)*-1. Factor 3 - 2*x + w*x**2.
(x - 3)**2/3
Suppose 3*c - i - 313 = 4*i, 4*c - 5*i = 414. Suppose t + 29 = c. Factor 21*u**5 - 23*u**4 - 6*u + t*u**3 - 3*u**2 - 34*u**4 - 27*u**3.
3*u*(u - 1)**3*(7*u + 2)
What is c in -15/4*c**2 + 55/4*c**3 - 5/4*c**4 + 5 - 10*c - 15/4*c**5 = 0?
-2, -1, 2/3, 1
Let z be ((-880)/50 - -8) + 10. Factor -z*u**3 + 2/5*u**2 + 0 + 0*u.
-2*u**2*(u - 1)/5
Let b(l) be the second derivative of 3*l**5/8 - 11*l**4/16 - l**3/8 + 3*l**2/4 + 3*l. Let b(g) = 0. Calculate g.
-2/5, 1/2, 1
Let y be ((-8)/12)/((-2)/6). Factor 2*f**2 - y*f**4 - 2*f**3 - 16*f**5 + 4*f**3 + 14*f**5.
-2*f**2*(f - 1)*(f + 1)**2
Let u(i) = -4*i**2 - 16*i - 16. Let n(p) = 12*p**2 + 48*p + 48. Let r(j) = -3*n(j) - 10*u(j). Suppose r(q) = 0. Calculate q.
-2
Let d = -74 - -149/2. Factor 0*z**3 + 0 + 0*z + 0*z**2 + d*z**4 + 1/2*z**5.
z**4*(z + 1)/2
Suppose 5*t = 3*t + 10. Factor -2*m**4 - 2*m**3 + 0 - 2/3*m**t - 2/3*m**2 + 0*m.
-2*m**2*(m + 1)**3/3
Let k = -187 - -1311/7. Factor 2/7*i**2 + 0 + k*i.
2*i*(i + 1)/7
Factor -3/2*w**2 + 0*w + 0.
-3*w**2/2
Let b = 3/157 - -758/1413. Let a(f) be the second derivative of f - b*f**3 + 0 - 2/9*f**4 + 1/10*f**5 + 2/3*f**2. Determine p so that a(p) = 0.
-1, 1/3, 2
Suppose -3*v**2 + 292*v**5 + 2*v**2 + v**4 - 291*v**5 - v**3 = 0. Calculate v.
-1, 0, 1
Let w(a) be the third derivative of -1/240*a**6 - 1/80*a**5 + 1/6*a**3 + 0 + 1/24*a**4 + 0*a + 2*a**2 + 1/840*a**7. Factor w(y).
(y - 2)**2*(y + 1)**2/4
Let l(g) be the third derivative of 3/4*g**3 + 5/16*g**4 + 0*g + 0 + 2*g**2 + 7/120*g**5 + 1/240*g**6. Factor l(b).
(b + 1)*(b + 3)**2/2
Let n(p) = -3*p + 20. Let r be n(6). Let s(k) be the first derivative of -4/9*k**3 + 0*k**4 + 0*k + 1/9*k**6 + 2 + 4/15*k**5 - 1/3*k**r. Factor s(g).
2*g*(g - 1)*(g + 1)**3/3
Let x = 71/30 + -13/6. Let 3/5*c**4 + x*c**2 + 0*c - 1/5*c**5 - 3/5*c**3 + 0 = 0. What is c?
0, 1
Let c(l) be the first derivative of -3*l**5/35 + 3*l**4/14 - l**3/7 + 31. Factor c(p).
-3*p**2*(p - 1)**2/7
Let b(p) be the third derivative of -3*p**7/28 - 13*p**6/48 + 5*p**5/24 + 65*p**4/48 + 5*p**3/3 - 13*p**2. Determine n, given that b(n) = 0.
-1, -4/9, 1
Suppose 65 - 2 = w. Solve w*p**4 + 39*p - 75*p**2 + 18*p**2 - 6 - 46*p**3 + 7*p**3 = 0.
-1, 2/7, 1/3, 1
Let n be (-3 - (-42)/12)/((-14)/(-4)). Solve -1/7*h**2 + 1/7*h - n*h**3 + 1/7 = 0 for h.
-1, 1
Let p = -23 - -23. Factor 0 + p*y - 1/5*y**5 + 1/5*y**3 + 0*y**4 + 0*y**2.
-y**3*(y - 1)*(y + 1)/5
Suppose 0 + 11 = t. Suppose 2 = 3*p + t, 4*w - 24 = 4*p. Let -1 + 3*a**w - 13/2*a**2 + 9/2*a = 0. Calculate a.
1/2, 2/3, 1
Let n = 6 - 6. Let d be (-2)/5 - 96/(-165). Determine v so that 0*v - d*v**2 + 6/11*v**3 + n = 0.
0, 1/3
Let a(w) = 2*w**4 + 2*w**3 - 6*w**2 + 6*w + 4. Let n(j) = j**3 - j**2 + j + 1. Let h(l) = a(l) - 4*n(l). Let h(r) = 0. What is r?
-1, 0, 1
Let b(j) be the second derivative of -11/6*j**3 + 0 - 4/3*j**4 - j**2 - 7/20*j**5 + j. Suppose b(h) = 0. Calculate h.
-1, -2/7
Suppose -51 = -3*k - 135. Let h be ((-16)/k)/((-18)/(-105)). Solve -h*i**2 - 3*i - i**3 - 2/3 = 0 for i.
-2, -1, -1/3
Let h(d) = -d + 10. Suppose 3 + 6 = r. Let k be h(r). Let 3*g**2 + k - 2 - 2*g**2 = 0. Calculate g.
-1, 1
Solve 15*g**4 + 60*g - 8 + 209*g**3 + 41*g**5 - 135*g**4 - 166*g**2 - 16*g**5 = 0.
2/5, 1, 2
Let u(b) be the third derivative of -b**8/112 - b**7/70 + b**6/40 + b**5/20 - 14*b**2. Factor u(q).
-3*q**2*(q - 1)*(q + 1)**2
Suppose 0 = r + 2*r - 3*n, 20 = 4*r + n. Factor -r*g**3 + 3*g**3 + 4*g**3 - g**3 - 2*g.
2*g*(g - 1)*(g + 1)
Let q(b) = -b - 6. Let c be q(-9). Suppose -c*o + 10 = 2*o. Factor 1/4*x + 3/2*x**3 + 1/4*x**5 + 0 + x**4 + x**o.
x*(x + 1)**4/4
Let o(i) be the first derivative of -1/3*i**3 + 1/5*i**5 + 0*i**2 - 3 - 1/6*i**6 + 0*i + 1/4*i**4. Let o(g) = 0. What is g?
-1, 0, 1
Let v(s) be the second derivative of -s**6/105 + s**5/70 + s**4/21 - 28*s. What is y in v(y) = 0?
-1, 0, 2
Let s(h) = -h**2. Let z(a) = 15*a**2 - 5. Let l(x) = -10*s(x) - z(x). Solve l(p) = 0.
-1, 1
Factor 4/7*s - 2/7 - 2/7*s**2.
-2*(s - 1)**2/7
Let t(j) be the second derivative of -j**5/30 - j**4/6 + 4*j**2/3 - 13*j. Factor t(r).
-2*(r - 1)*(r + 2)**2/3
Suppose 0 = 2*o - 5 - 7. Let i be (-6)/5*(-20)/o. Factor -i*k**4 - 3*k**3 - k**5 + k**4 - k**2 + k**3 - k**3.
-k**2*(k + 1)**3
Let y(n) be the first derivative of 0*n**2 - 1 + 0*n + 0*n**5 + 1/180*n**6 - 2/3*n**3 - 1/12*n**4. Let u(o) be the third derivative of y(o). Factor u(j).
2*(j - 1)*(j + 1)
Let x(w) be the first derivative of w**7/280 - w**6/120 + 4*w**3/3 + 2. Let t(g) be the third derivative of x(g). Solve t(q) = 0 for q.
0, 1
Let i(v) = -v**3 + 11*v**2 + 13*v - 8. Let k be i(12). Let o = -2/103 - -1