 13*u**2 + 6 - 12*u**2 - p + 4*u = 0 for u.
-2
Let w(o) = -11*o**3 + 5*o**2 - 6*o - 6. Let n(a) = a**3 + a + 1. Let g(j) = -6*n(j) - w(j). Determine t so that g(t) = 0.
0, 1
Let i(s) be the first derivative of -s**4/6 - 2*s**3/3 + 4*s**2/3 - 3. Factor i(d).
-2*d*(d - 1)*(d + 4)/3
Let z be 0 - ((-4)/(-2) - 1) - -1. Let h(c) be the second derivative of -1/10*c**5 + 1/3*c**4 + z - 1/3*c**3 - 2*c + 0*c**2. Factor h(u).
-2*u*(u - 1)**2
Suppose 2*y - 3 = -k, 0 = -2*y - 0*y + 2*k + 12. Suppose 2 + 7 = y*n. Suppose -2*z**n - z + 3*z - 1 + z**4 + 0*z = 0. What is z?
-1, 1
Let d(v) be the second derivative of 1/3*v**4 + v + 0*v**2 + 0 - 1/3*v**7 + 16/15*v**6 - 11/10*v**5 + 0*v**3. Let d(x) = 0. Calculate x.
0, 2/7, 1
Suppose 0*n = 5*n. Let s(a) be the second derivative of 2*a - 1/2*a**2 + 1/24*a**4 + n - 1/12*a**3. Factor s(z).
(z - 2)*(z + 1)/2
Let h(a) be the third derivative of a**7/105 + a**6/40 - a**4/24 - 13*a**2. Factor h(m).
m*(m + 1)**2*(2*m - 1)
Suppose -c + 5*c = 12. Let t(i) be the second derivative of -1/24*i**4 + i + 0 + 0*i**c - 1/40*i**5 + 0*i**2. Factor t(x).
-x**2*(x + 1)/2
Let a(s) be the second derivative of s**9/15120 - s**8/6720 - s**7/2520 + s**6/720 - s**4/6 + 3*s. Let n(p) be the third derivative of a(p). Factor n(o).
o*(o - 1)**2*(o + 1)
Let l be (2/(-3))/((-155)/372). Factor -2/5*v**4 - l*v**3 + 0*v + 0 - 8/5*v**2.
-2*v**2*(v + 2)**2/5
Suppose -5*m = -j + 2, -m - m - 4 = -2*j. Factor -6*u**2 + 2*u**3 - 2*u**j + 13*u - 5*u.
2*u*(u - 2)**2
Let z(h) be the first derivative of h**7/210 - h**6/75 + h**5/100 + h - 3. Let x(i) be the first derivative of z(i). Factor x(j).
j**3*(j - 1)**2/5
Suppose -5*d + 9 = -1. What is r in 2*r**3 - 4*r**4 + 5*r**d - 1 - 9*r + 6*r + r**3 = 0?
-1, -1/4, 1
Let m(h) be the first derivative of -h**5/15 - 5*h**4/24 - h**3/6 + h**2/12 + h/6 + 27. Solve m(r) = 0.
-1, 1/2
Let q(d) = 5*d**2 + 3*d + 4. Let c = 6 + -13. Let h = c + 4. Let b(k) = 16*k**2 + 8*k + 12. Let s(f) = h*b(f) + 10*q(f). Find w such that s(w) = 0.
-2, -1
Suppose 6 = 2*q - 0*q. Suppose d = -q*d + 8. Suppose 3*k**d + 5/3*k**4 - 4*k**3 - 2/3*k + 0 = 0. Calculate k.
0, 2/5, 1
Suppose 76 = 5*o + 16. Let w(u) = -u**2 + 12*u + 3. Let l be w(o). Factor 0 + 0*y**2 - 1/3*y**4 - 1/3*y**l + 0*y.
-y**3*(y + 1)/3
Let r(f) = -2*f**2 + 4*f. Let o(j) = 8*j**2 - 16*j - 1. Let c = -4 - -6. Let m(k) = c*o(k) + 9*r(k). Solve m(z) = 0 for z.
1
Suppose 18 = 3*j - 3*p, 0 = -2*j + p + 3 + 5. What is a in -1/2*a - 1/2*a**j + 1 = 0?
-2, 1
Let y = -148 + 446/3. Factor -2/3*h**3 - 2/3*h**2 + 2/3*h + 0 + y*h**4.
2*h*(h - 1)**2*(h + 1)/3
Let m(f) be the second derivative of f**5/120 - f**4/24 - 3*f**2/2 - 4*f. Let s(k) be the first derivative of m(k). Factor s(x).
x*(x - 2)/2
Let q(c) = 3*c**3 + 9*c**2 - 3*c - 3. Let k(z) = -6*z**3 - 17*z**2 + 6*z + 7. Let w(h) = -3*k(h) - 5*q(h). Determine g so that w(g) = 0.
-2, -1, 1
Let g be ((-8)/(-21))/((9 - 5)/12). Suppose 8/7*r**4 - 8/7*r**2 + 0 - 6/7*r**3 - 2/7*r**5 + g*r = 0. Calculate r.
-1, 0, 1, 2
Let d be 4/1*(6/3)/4. Let b(i) be the first derivative of -1/8*i**4 + 1/2*i**d + 2 - 1/6*i**3 + 0*i. Determine y so that b(y) = 0.
-2, 0, 1
Let t = 225/4 - 56. What is o in t*o**2 + o + 3/4 = 0?
-3, -1
Suppose 0*w = 4*w - 16. Factor -3*l**3 + 0*l**2 - l**3 + 2*l - 2*l**w + 2*l**2 + 2*l**3.
-2*l*(l - 1)*(l + 1)**2
Find z such that 12*z**3 - 12*z**3 - z**5 - 28*z**4 + 20*z**3 - 4*z**2 + 13*z**5 = 0.
0, 1/3, 1
Let r(d) = -d**3 + d + 5. Let g be r(0). Suppose 0 = -y + 5*s - s - 4, -g*s = -5. Suppose a**3 + a**2 + a**2 + y*a**3 - 4*a**4 - 3*a**5 = 0. Calculate a.
-1, 0, 2/3
Let b = 15 - 10. Find k such that 12/7*k**3 + 0 + 8/7*k**2 + 8/7*k**4 + 2/7*k + 2/7*k**b = 0.
-1, 0
Suppose -3*a + 11 = -2*n - 6*a, 4*a + 20 = 0. Factor -3*v**3 - n*v + 8*v**2 - 3*v**2 + 4*v**5 - 5*v**4 - 3*v + 4*v.
v*(v - 1)**2*(v + 1)*(4*v - 1)
Let l(s) be the second derivative of s**4/102 + 11*s. Factor l(u).
2*u**2/17
Let d = -2/5 - -11/15. What is p in 1/3 - 1/3*p**3 - 1/3*p**2 + d*p = 0?
-1, 1
Let b(g) be the second derivative of -g**4/30 + g**3/5 - 2*g**2/5 - 10*g. Factor b(r).
-2*(r - 2)*(r - 1)/5
Let z(u) be the second derivative of -u**4/4 - u**3/2 - 5*u. Find g, given that z(g) = 0.
-1, 0
Let u(m) be the third derivative of 0*m**4 + 1/240*m**6 + 0*m**3 - 2*m**2 + 1/60*m**5 + 0 + 0*m. Factor u(d).
d**2*(d + 2)/2
Let s(h) be the second derivative of 0 + 1/9*h**3 - 1/30*h**5 + 0*h**2 - 3*h - 7/36*h**4 + 7/90*h**6. Determine k so that s(k) = 0.
-1, 0, 2/7, 1
Let n(m) be the second derivative of m**6/90 + m**5/30 + m**4/36 - 5*m + 4. Factor n(d).
d**2*(d + 1)**2/3
Let s(d) be the first derivative of 5*d**6/36 - 5*d**4/24 - 29. Factor s(o).
5*o**3*(o - 1)*(o + 1)/6
Factor 3*z**2 + 4*z**3 - 7*z**2 + 4*z**4 - 4*z**3.
4*z**2*(z - 1)*(z + 1)
Suppose 2*k + 3*k = -5*v - 5, -3*v - 11 = 5*k. Let m = 0 - k. Let -2*p**2 + m*p**2 + p**3 - p**2 - 2*p = 0. What is p?
-2, 0, 1
Let g = 4/139 - -2899/695. Factor 6/5 + g*h**2 - 27/5*h.
3*(h - 1)*(7*h - 2)/5
Let i = 43 - 36. Let d(u) be the second derivative of -1/126*u**i - u + 0 + 0*u**3 + 0*u**4 - 1/60*u**5 + 0*u**2 + 1/45*u**6. Factor d(v).
-v**3*(v - 1)**2/3
Factor -1 + 32*x + 10*x**3 - 20*x**2 - 9*x**3 - 15 + 3*x**3.
4*(x - 2)**2*(x - 1)
Suppose 4*b + 3 - 35 = 0. Suppose 0 = -l - 5*j - b, 0 = 4*j + 4 + 4. Find r, given that 0 + 1/2*r**l + 0*r - 1/2*r**3 = 0.
0, 1
Let p = 23 - 19. Let j(y) = -y**2 + 4*y + 1. Let l(o) = -3*o**2 + 11*o + 3. Let x(z) = p*l(z) - 11*j(z). Factor x(u).
-(u - 1)*(u + 1)
Let g(x) be the second derivative of x**4/12 + 10*x**3/3 + 50*x**2 - 42*x. Find n such that g(n) = 0.
-10
Let l = 1753 - 5329/3. Let w = l + 24. Determine k so that w*k - 8/3*k**4 + 8/3*k**2 - 2/3*k**3 + 0 = 0.
-1, -1/4, 0, 1
Let o(x) = 3*x + 6. Let l(n) = n**2 + 4*n + 5. Let p(c) = -3*l(c) + 2*o(c). Determine g so that p(g) = 0.
-1
Let q(m) be the second derivative of -m**7/28 - m**6/20 + 3*m**5/40 + m**4/8 + 17*m. Factor q(p).
-3*p**2*(p - 1)*(p + 1)**2/2
Suppose 2 = 2*l - 6. Let i(w) = -w**3 + 6*w**2 + 2*w - 8. Let k be i(6). Factor -5*g + 8*g**k - 12*g**3 + 3*g - 2*g**5 + 4*g**2 + l*g**2.
-2*g*(g - 1)**4
Let i be (-4)/6*9/282. Let c = i - -50/141. Solve -1/3*y + 1/3*y**2 - c + 1/3*y**3 = 0 for y.
-1, 1
Let w(r) be the second derivative of 3*r - 1/3*r**3 + 0*r**2 + 0 - 1/6*r**4. Find k, given that w(k) = 0.
-1, 0
Suppose 1 - 7 = f. Let l = -4 - f. Solve 2/5 - 4/5*b + 2/5*b**l = 0.
1
Suppose 2*v = 6*v. Factor 0 + 21/2*l**3 + v*l - 3*l**2 - 9*l**4.
-3*l**2*(2*l - 1)*(3*l - 2)/2
Let n = 85 - 423/5. Let r(a) be the first derivative of 0*a**3 + 1 + 2*a**2 - n*a**5 - a**4 + 2*a. Factor r(h).
-2*(h - 1)*(h + 1)**3
Suppose 4*p - 2 = 2*p. Let w(x) = -9*x - 12 - 4 + 2 - p. Let r(v) = v**2 + 19*v + 29. Let n(t) = 3*r(t) + 5*w(t). What is m in n(m) = 0?
-2
Let y(w) = -5*w**3 + 7*w**2 - 8*w - 2. Suppose 0 = 5*r - 61 - 14. Let p(x) = 36*x**3 - 48*x**2 + 57*x + 15. Let a(b) = r*y(b) + 2*p(b). Factor a(m).
-3*m*(m - 2)*(m - 1)
Let b = 4 + -2. Let y be ((-6)/(-3))/(-1) - -2. Factor -3*l + y*l - b*l**2 - 2 - l.
-2*(l + 1)**2
Determine b so that 3/4*b**2 + 1/4*b**3 + 1/4 + 3/4*b = 0.
-1
Let u(g) be the third derivative of g**9/5040 - g**8/560 + g**7/210 - g**4/8 - 3*g**2. Let m(k) be the second derivative of u(k). Let m(f) = 0. Calculate f.
0, 2
Let q(w) be the third derivative of w**5/160 - 13*w**4/64 + 22*w**2. Factor q(u).
3*u*(u - 13)/8
Let c(s) be the third derivative of 6*s**2 + 0*s**3 - 1/70*s**5 + 1/280*s**6 + 1/56*s**4 + 0 + 0*s. What is p in c(p) = 0?
0, 1
Suppose -4*w + 8 = -8. Let d(t) be the first derivative of 0*t**5 + 1/5*t**w + 0*t**3 - 1/15*t**6 + 0*t - 1/5*t**2 - 2. Determine l, given that d(l) = 0.
-1, 0, 1
Factor s - 4*s**5 - 4*s**2 + 4*s**5 - 4*s**4 + 6*s**3 + s**5.
s*(s - 1)**4
Let f be (-6)/(-309)*(-2 + 3). Let r = f - -95/412. Factor r - 1/2*w - 3/4*w**2.
-(w + 1)*(3*w - 1)/4
Let u(c) be the first derivative of c**7/21 - c**6/15 - c**5/10 + c**4/6 + 6*c - 5. Let z(j) be the first derivative of u(j). Factor z(p).
2*p**2*(p - 1)**2*(p + 1)
Let s(y) be the first derivative of 3*y**4/8 - 9*y**2/4 - 3*y + 22. Determine n so that s(n) = 0.
-1, 2
Find b such that -5*b**4 - 1277*b**3 + 2*b + 10*b**5 + 3*b + 1242*b**3 - 10 + 35*b**2 = 0.
-2, -1/2, 1
Let c(x) be the third derivative of -3*x**2 + 0*x**5 - 1/60*x**6 + 0*x**4 + 0