. Let -9*u**2 - 36*u**k + 6*u + 0*u**2 + 39*u**3 = 0. Calculate u.
0, 1, 2
Let m be 0/(-2) + 12*(-4)/(-32). Let g(z) be the first derivative of -1 + z**3 + 0*z - 3/5*z**5 + 3/4*z**4 - m*z**2. Find v such that g(v) = 0.
-1, 0, 1
Let i(p) = 7*p**5 - 7*p**4 + p**3 + 9*p**2 - 3*p - 7. Let q(l) = 6*l**5 - 6*l**4 + 8*l**2 - 2*l - 6. Let u(n) = -4*i(n) + 5*q(n). Factor u(w).
2*(w - 1)**3*(w + 1)**2
Let y(c) be the second derivative of 0 + 0*c**6 - 2/45*c**5 + 1/9*c**3 + 1/189*c**7 - 6*c + 1/27*c**4 - 2/9*c**2. Factor y(w).
2*(w - 1)**3*(w + 1)*(w + 2)/9
Suppose 7/5*h**3 + 1/5*h**5 + 4/5 + 1/5*h**2 - h**4 - 8/5*h = 0. What is h?
-1, 1, 2
Find b such that 4 - 6*b**3 + 4 - 11*b**2 - 5 + 2*b**2 = 0.
-1, 1/2
Let n(c) = -c. Let y be n(-2). Let u be y/(3/(-6) + 1). Factor -x**5 - x**2 - 4 + x**u + x**3 + 4.
-x**2*(x - 1)**2*(x + 1)
Let j(l) = l**3 - l - 1. Let m(t) = 3*t**3 - 26*t**2 + 11*t + 5. Let p(f) = 10*j(f) + 2*m(f). Factor p(o).
4*o*(o - 3)*(4*o - 1)
Let s(p) be the second derivative of -p**7/840 + p**6/120 - p**5/60 - p**3/6 - 2*p. Let k(h) be the second derivative of s(h). Determine z so that k(z) = 0.
0, 1, 2
Let j(f) be the first derivative of 2 + 2/9*f**2 + 2/9*f**3 - 2/9*f. Factor j(d).
2*(d + 1)*(3*d - 1)/9
Suppose 0 = -5*j + j. Let x(m) be the third derivative of 1/3*m**3 - 1/4*m**4 - 1/60*m**6 + 0*m + j - 3*m**2 + 1/10*m**5. Let x(r) = 0. What is r?
1
Suppose 2*c - 1432 = 3*g, 5*c + 2*g + 0*g = 3618. Let o = c + -6488/9. Factor 4/9 + 2/3*k**2 + o*k.
2*(k + 1)*(3*k + 2)/9
Let m(u) = 2*u**2 - 4*u - 2. Let c(j) = j**3 - 11*j**2 + 21*j + 11. Let s(i) = 4*c(i) + 22*m(i). Factor s(t).
4*t*(t - 1)*(t + 1)
Let l(h) be the third derivative of 0*h + 0 - 4/33*h**3 + 1/33*h**4 + 8*h**2 - 1/330*h**5. Factor l(d).
-2*(d - 2)**2/11
Let k = -9 - -11. Determine i so that -4*i**5 - i**4 - k*i**2 + 0*i**3 + 3*i**2 - i**3 + 5*i**5 = 0.
-1, 0, 1
Solve 1/4*b - 1/2*b**2 + 1/4*b**3 + 0 = 0.
0, 1
Let l be 2*(24/11 + (-36)/198). Factor -2/3*i**l + 2/3*i - 2/3*i**3 + 2/3*i**2 + 0.
-2*i*(i - 1)*(i + 1)**2/3
Let a = -4 + 6. Factor -3*g**2 - a*g**3 + g**4 - 2*g + 5 - 1 + 6*g.
(g - 2)**2*(g + 1)**2
Let f be ((-2)/15)/(14 + -22). Let a(q) be the third derivative of -q**2 + 0 - f*q**5 - 1/12*q**4 - 1/6*q**3 + 0*q. Suppose a(c) = 0. What is c?
-1
Let w = 31/42 - 4/7. Let k(x) be the second derivative of -1/15*x**6 - w*x**3 + 0*x**2 - 2*x + 0 + 1/6*x**4 + 1/20*x**5. Factor k(r).
-r*(r - 1)*(r + 1)*(2*r - 1)
Let a = -43 - -45. Factor 1/2 + 7/4*o**a + 7/4*o + 1/2*o**3.
(o + 1)*(o + 2)*(2*o + 1)/4
Let m(o) = o**3 + o + 1. Let g(v) be the first derivative of 2*v**4 + 2*v**3/3 + 4*v**2 + 7*v + 4. Let a(k) = 2*g(k) - 14*m(k). Factor a(q).
2*q*(q + 1)**2
Let v(y) be the first derivative of y**3 + 15*y**2 + 75*y - 1. Find f such that v(f) = 0.
-5
Factor -15*b + 75/2 + 3/2*b**2.
3*(b - 5)**2/2
Let t(v) = v**3 - 4*v**2 - 3*v - 6. Let c be t(5). Suppose -c*h + 5*h = 0. Factor h*q + 0 + 0*q**4 + 0*q**2 + 1/5*q**3 - 1/5*q**5.
-q**3*(q - 1)*(q + 1)/5
Let g(s) be the third derivative of s**5/60 - s**4/24 - s**3/2 + 6*s**2. Let h be g(3). Factor 4/9 - 2/3*o**2 - 2/9*o + 2/9*o**4 + 2/9*o**h.
2*(o - 1)**2*(o + 1)*(o + 2)/9
Let w(c) be the first derivative of 2/27*c**3 + 0*c + 3 + 0*c**2. Suppose w(h) = 0. Calculate h.
0
Let f(j) = -j**3 - 4*j**2 - 11*j + 2. Let u(c) = 2*c**3 + 7*c**2 + 23*c - 5. Let h(w) = 15*f(w) + 6*u(w). Factor h(n).
-3*n*(n + 3)**2
Let b = 45 - 14. Let l = -215/7 + b. Factor 0 + l*k + 8/7*k**3 - 8/7*k**2.
2*k*(2*k - 1)**2/7
Let t be 16/(-6)*(-24)/16. Suppose -2*k = -t*k - o + 4, 10 = 5*k + 4*o. Find s such that -9*s + 7 - 9*s + 3*s**4 - 4 + 18*s**k - 12*s**3 + 6*s = 0.
1
Let h(r) = 8*r + 32. Let q be h(-4). Factor q*u**2 + 0 + 2/3*u**3 - 2/3*u.
2*u*(u - 1)*(u + 1)/3
Let 0*f**2 + 1/6*f**5 + 0*f + 3/2*f**3 + f**4 + 0 = 0. What is f?
-3, 0
Suppose -40*m = -49*m + 27. Suppose 40/9*j + 44/9*j**m - 10/9*j**4 - 8/9 - 22/3*j**2 = 0. Calculate j.
2/5, 1, 2
Solve 2/11*n**2 - 20/11*n + 50/11 = 0 for n.
5
Let l(b) be the first derivative of 2/9*b + 2/27*b**3 + 1 - 2/9*b**2. Factor l(s).
2*(s - 1)**2/9
Let g(h) be the first derivative of 2/5*h + 2/25*h**5 - 4/15*h**3 - 2 - 1/5*h**4 + 1/15*h**6 + 1/5*h**2. Factor g(c).
2*(c - 1)**2*(c + 1)**3/5
Find j such that 0 + 54/7*j + 6/7*j**3 - 36/7*j**2 = 0.
0, 3
Let j = -632293/100 - -6323. Let u(s) be the second derivative of 1/2*s**4 + j*s**5 + 4/5*s**2 + 0 + s + 6/5*s**3. What is f in u(f) = 0?
-2, -2/7
Let p be -21*((-2 - 0) + 1). Suppose 2*j - 3*x - 21 = 0, 2*x + p + 37 = 5*j. Let -4*k**3 + j*k**4 - 3*k - 14*k**2 + 10*k**5 - 3*k**5 + 1 + 1 = 0. What is k?
-1, 2/7, 1
Let j(s) be the second derivative of s**8/40320 - s**7/5040 - 5*s**4/12 + 5*s. Let v(y) be the third derivative of j(y). Solve v(x) = 0 for x.
0, 3
Let x(j) be the first derivative of 3/5*j**5 + 0*j - 5/4*j**4 + 1/2*j**2 + 1/3*j**3 - 2. Let x(r) = 0. What is r?
-1/3, 0, 1
Let b(y) be the second derivative of 6*y**7/7 - 4*y**6/5 - 11*y**5/5 + 4*y**4/3 + 8*y**3/3 + 24*y. Factor b(i).
4*i*(i - 1)**2*(3*i + 2)**2
Suppose 2*n = 19 - 5. Suppose -m + 3*o = n, -2*m = m - 2*o. What is d in -2/3*d**5 + 0*d**4 + 0 + 0*d + 2/3*d**3 + 0*d**m = 0?
-1, 0, 1
Suppose 15 + 15 = 15*j. Solve 1/2 + 0*w**j - 3/4*w + 1/4*w**3 = 0 for w.
-2, 1
Factor 0 - 3/4*w - 1/4*w**2.
-w*(w + 3)/4
What is n in -2/7 + 16/7*n**3 + 32/7*n**4 - 16/7*n - 30/7*n**2 = 0?
-1, -1/4, 1
Find h such that 1/11*h**3 - 2/11 + 3/11*h**2 - 1/11*h**4 - 1/11*h = 0.
-1, 1, 2
Let x(h) = 11*h**5 + 15*h**4 + 9*h**3 - 5. Let g(c) = 11*c**5 - 28*c**5 - 22*c**4 - 14*c**3 + 8 - c**4. Let t(j) = -5*g(j) - 8*x(j). Factor t(a).
-a**3*(a + 1)*(3*a + 2)
Let v be 10/3 + 120/18 + -6. Let p(l) be the second derivative of -1/36*l**v + 0 - 1/6*l**2 - 1/9*l**3 - 2*l. Find r such that p(r) = 0.
-1
Let n(l) be the second derivative of -l**7/63 + l**5/15 - l**3/9 + 9*l. Factor n(p).
-2*p*(p - 1)**2*(p + 1)**2/3
Let l(c) be the third derivative of -49*c**5/10 + 155*c**4/24 - 11*c**3/6 - 5*c**2. Let r(b) = -49*b**2 + 26*b - 2. Let y(k) = 6*l(k) - 39*r(k). Factor y(n).
3*(7*n - 2)**2
Let l = 45 - 40. Let s(r) be the first derivative of 0*r + 0*r**2 - 4 + 9/5*r**l + r**3 + 9/4*r**4 + 1/2*r**6. Find o, given that s(o) = 0.
-1, 0
What is l in -5/3*l**2 - 4/3 + 8/3*l + 1/3*l**3 = 0?
1, 2
Let i(t) = 1 - 2*t**2 - 1 - 2*t**3 - 4 + 4*t. Let p = 0 - 4. Let l(k) = -k**2 + k - 1. Let j(n) = p*l(n) + i(n). Factor j(q).
-2*q**2*(q - 1)
Let n = -14 + 31. Suppose q - 3*q = 4*f - 26, 0 = 4*f - q - n. Factor -1/4*k + 1/2*k**2 + 0*k**3 + 1/4*k**f + 0 - 1/2*k**4.
k*(k - 1)**3*(k + 1)/4
Factor -5 - 2*p**2 + 935*p + 23 - 935*p.
-2*(p - 3)*(p + 3)
Factor 0*f + 1/2*f**4 + 1/2*f**3 + 0 + 1/6*f**5 + 1/6*f**2.
f**2*(f + 1)**3/6
Solve 19*y**4 + 40 - 43*y - 4*y**4 - 30*y**2 - 17*y + 32*y**3 + 3*y**3 = 0 for y.
-2, 2/3, 1
Let m(l) be the first derivative of l**7/315 + l**6/60 + l**5/30 + l**4/36 - l**2 - 6. Let i(u) be the second derivative of m(u). Factor i(j).
2*j*(j + 1)**3/3
Let r = -35 + 30. Let u(k) = -3*k - 12. Let p be u(r). Factor 2/5*m**5 + 0*m + 0*m**2 + 0*m**4 + 0 - 2/5*m**p.
2*m**3*(m - 1)*(m + 1)/5
Suppose -5*o = -4*o - 2. Find x such that -2*x + o*x**3 + 2*x**2 - 2*x**4 - 4*x**3 + 4*x**3 = 0.
-1, 0, 1
Factor 0 - 2/9*u**3 + 0*u + 4/9*u**2.
-2*u**2*(u - 2)/9
Suppose 0 = w + 7*w - 24. Let s(o) be the first derivative of -o**2 + 0*o + 1/2*o**4 + 0*o**w - 1. Factor s(l).
2*l*(l - 1)*(l + 1)
Let a(w) be the third derivative of -w**8/560 + w**7/175 + w**6/100 - 2*w**5/25 + 7*w**4/40 - w**3/5 + 13*w**2. Factor a(y).
-3*(y - 1)**4*(y + 2)/5
Let s(c) be the third derivative of -1/735*c**7 - 1/420*c**6 + 0*c**3 + 0 + 0*c + 1/84*c**4 + 1/210*c**5 + 2*c**2. Factor s(m).
-2*m*(m - 1)*(m + 1)**2/7
Suppose -3*d + 3*h = 6, d + 2*d + 5*h = 26. Suppose -d*t - 2*q + 14 = t, -5*t - q = -21. Determine y so that y - 1/5*y**2 + 3/5*y**t - y**3 - 2/5 = 0.
-1, 2/3, 1
Let 0*x + 0*x**2 + 1/4*x**3 + 0*x**4 - 1/4*x**5 + 0 = 0. What is x?
-1, 0, 1
Let n(r) be the second derivative of 0 - 3*r + 14/9*r**3 + 4/3*r**2 + 5/9*r**4. Find c such that n(c) = 0.
-1, -2/5
Solve 0 - 3/7*f**2 + 0*f = 0.
0
Let v = 3 + 1. Find o, given that -v*o + 1 + 6*o + o**2 + 0 = 0.
-1
Let c(u) = -15*u + 75. Let r be c(5). Let 0 + 1/2*q**2 + r*q = 0. Calculate q.
0
Let c(j) be the third derivative of -j**8/1512 + j**7/189