, -3, 1
Let y(x) = -2*x**2 - 12*x + 14. Let z(i) = 4*i**2 + 24*i - 28. Let u(h) = 11*y(h) + 6*z(h). What is r in u(r) = 0?
-7, 1
Let p = 28 + -24. Let s be (p/3)/((-3)/(-6)). Factor 0 - s*o**3 - 2/3*o**4 - 4/3*o - 10/3*o**2.
-2*o*(o + 1)**2*(o + 2)/3
Let x = 52/87 + 2/29. Factor -2/3*w**2 - x - 4/3*w.
-2*(w + 1)**2/3
Find o such that 72*o**2 + 8*o**3 + 28 + 80*o - 2*o**3 - 3*o**3 - 4*o**4 + 13*o**3 = 0.
-1, 7
Suppose -21*r + 17*r = -240. Let s be ((-8)/r)/((-3)/735). Suppose s*b**2 + 2/3 + 28/3*b = 0. What is b?
-1/7
Let i = -183 + 190. Suppose i*o = 27 + 1. Factor -12/5*d**o - 8/5*d**3 - 4/5*d**5 + 0*d + 0 + 0*d**2.
-4*d**3*(d + 1)*(d + 2)/5
Suppose -2*l = 4*c - 126, -5*l = -3*c - 10*l + 105. Let o = c + -119/4. Suppose 1/2 + o*p**2 - 3/4*p = 0. What is p?
1, 2
Let v(p) = -6*p**4 + 21*p**3 - 14*p**2 + 4*p - 5. Let x(m) = 3*m**4 - 10*m**3 + 7*m**2 - 2*m + 2. Let s(k) = 6*v(k) + 15*x(k). Suppose s(h) = 0. Calculate h.
0, 2/3, 1
Let l = -2266/3 + 11354/15. Factor -l*c**2 - 42/5*c - 2.
-2*(c + 5)*(4*c + 1)/5
Let b(z) be the first derivative of z**7/168 - z**5/80 + 22*z + 22. Let j(k) be the first derivative of b(k). Factor j(v).
v**3*(v - 1)*(v + 1)/4
Let z(q) be the third derivative of -q**6/24 + q**5/12 + 5*q**4/24 - 5*q**3/6 - q**2 - 2. Solve z(d) = 0.
-1, 1
Let s = 84 - 84. Find m such that s*m**2 - 8/5*m**3 + 4/5 - 4/5*m**4 + 8/5*m = 0.
-1, 1
Let m = 589/3 + -1763/9. Suppose -2/9*b**2 + 2/9*b + m = 0. Calculate b.
-1, 2
Let c(q) = 5*q**3 - 20*q**2 + 23*q - 6. Let t(n) = -5*n**3 + 20*n**2 - 22*n + 4. Let k(d) = -3*c(d) - 2*t(d). Factor k(x).
-5*(x - 2)*(x - 1)**2
Find u, given that 6*u**4 + 5*u**4 + 18*u**2 + 20*u + 16*u**3 - 56*u - 9*u**4 = 0.
-6, -3, 0, 1
Let a(t) = 5*t + 220. Let o be a(-44). Let h(w) be the first derivative of o*w**2 - 2/55*w**5 + 8 + 0*w + 2/33*w**3 - 1/33*w**6 + 1/22*w**4. Factor h(p).
-2*p**2*(p - 1)*(p + 1)**2/11
Let j(n) = n**2 + n - 1. Suppose 0 = l + 2*m - 3, 5*l - 20 = 2*l + 5*m. Let a(v) = 5*v**2 + 2*v - 4. Let s(q) = l*a(q) - 20*j(q). Factor s(h).
5*h*(h - 2)
Let f(w) be the first derivative of w**6/600 - w**5/200 - w**3/3 + 11. Let d(o) be the third derivative of f(o). Factor d(h).
3*h*(h - 1)/5
Let q(w) be the second derivative of -w**7/5880 + w**6/2520 + w**5/168 + w**4/56 + 9*w**3/2 - 21*w - 2. Let i(r) be the second derivative of q(r). Factor i(y).
-(y - 3)*(y + 1)**2/7
Suppose 15*p - 27 = 18. Let q be -3 + 2/p*9. Solve -4/5*r + 18/5*r**2 + 0 - 14/5*r**q = 0 for r.
0, 2/7, 1
Let d = -185428/11 - -16860. Determine j, given that -d - 338/11*j**2 - 208/11*j = 0.
-4/13
Let h(f) be the second derivative of 0 + 4/3*f**2 + 16/9*f**3 - f + 7/18*f**4. Factor h(q).
2*(q + 2)*(7*q + 2)/3
Find c such that 186/7*c**2 - 696/7*c**3 + 206/7*c**4 + 300/7*c**5 + 0 + 4/7*c = 0.
-2, -1/50, 0, 1/3, 1
Let c(n) be the second derivative of -3/4*n**4 + 25/2*n**2 - 22*n + 0 - 1/20*n**5 - 5/2*n**3. Solve c(b) = 0.
-5, 1
Let z(o) = -o**3 + 5*o**2 + 8*o - 10. Let w be z(6). Suppose w*y - 2*s = 35 - 3, 0 = -5*y + 2*s + 74. Let 3*r**2 + y*r - 2*r - 3 + 15 = 0. Calculate r.
-2
Let b be 20/(-44) - 0 - -3. Let t = b - 45/22. Factor 1/4*r**5 - 1/4*r**4 - t*r**3 + 1/4*r + 1/2*r**2 - 1/4.
(r - 1)**3*(r + 1)**2/4
Let m(r) be the second derivative of 1/120*r**6 + 0*r**2 + 0*r**3 - 6*r + 0*r**5 + 0 - 1/48*r**4. Factor m(a).
a**2*(a - 1)*(a + 1)/4
Let d(r) be the second derivative of 1/10*r**5 + 0 + 16*r + 1/6*r**4 + 0*r**3 + 0*r**2. Suppose d(w) = 0. Calculate w.
-1, 0
Let p be 34/(-40) + (-120)/(-75). Let t(j) be the first derivative of -p*j**4 + 1/2*j**6 + 0*j**2 - j**3 + 0*j + 3/5*j**5 + 8. Factor t(k).
3*k**2*(k - 1)*(k + 1)**2
Let j(r) be the second derivative of 3*r**5/5 + 53*r**4/3 + 52*r**3 - 64*r**2 - 30*r + 4. Let j(l) = 0. Calculate l.
-16, -2, 1/3
Let d = 13971/5 + -2794. Solve -d*j - 3/10*j**2 + 3/10*j**3 + 1/5*j**4 + 0 = 0 for j.
-2, -1/2, 0, 1
Find a such that -28/5*a**2 - 108*a - 152/5 = 0.
-19, -2/7
Let l = 2/2127 - -231/5672. Let u(k) be the first derivative of 1/8*k + 0*k**2 - 4 - l*k**3. What is z in u(z) = 0?
-1, 1
Let w(a) be the first derivative of 10*a**5/9 + 40*a**4/9 - 152*a**3/27 + 16*a**2/9 - 65. Factor w(d).
2*d*(d + 4)*(5*d - 2)**2/9
Determine m so that m**5 - 10*m**3 - 5/3*m + 0 + 8/3*m**4 + 8*m**2 = 0.
-5, 0, 1/3, 1
Let s be 5 + (-153)/30 - (-77)/20. Factor -s*p - 1/4*p**3 - 7/4*p**2 - 9/4.
-(p + 1)*(p + 3)**2/4
Let z = 36 + -32. Suppose -6*x - 15 = -x, 0 = z*w - x - 11. Suppose -6/5*u**w + u**4 + 8/5 + 4*u - 13/5*u**3 = 0. Calculate u.
-1, -2/5, 2
Let q(t) = t**3 + 8*t**2 + 5*t - 9. Let s be (3 - (1 + 1))*1*-7. Let h be q(s). Factor -1/4*j**3 + 0*j + 1/4*j**2 + 1/4*j**h - 1/4*j**4 + 0.
j**2*(j - 1)**2*(j + 1)/4
Solve -4*s**3 - 12*s**5 - 26*s**3 + 10*s**3 + 20*s**4 - 14*s**5 + 21*s**5 = 0 for s.
0, 2
Let q(o) be the third derivative of -1/15*o**5 + 0 - 8*o**2 + 7/24*o**4 + 0*o + 1/3*o**3. Factor q(c).
-(c - 2)*(4*c + 1)
Let s(i) be the first derivative of 2*i**3/27 + i**2/9 + 45. Factor s(a).
2*a*(a + 1)/9
Suppose -6*f + 35 - 5 = 0. Suppose r + 0*r + 1 = -x, -15 = -3*r + 3*x. Suppose 0*k**3 + 1/3*k**r - 1/3*k**4 - 1/6*k**f + 1/6*k + 0 = 0. What is k?
-1, 0, 1
Let y(k) be the third derivative of k**5/360 + 127*k**4/144 + 7*k**3/2 - 784*k**2. Suppose y(h) = 0. Calculate h.
-126, -1
Let l(w) be the second derivative of -w**6/195 - w**5/26 + 7*w**4/26 - 23*w**3/39 + 8*w**2/13 - 6*w - 1. Factor l(u).
-2*(u - 1)**3*(u + 8)/13
Factor 12 - 3*b**2 - 10*b + 23*b - 4*b.
-3*(b - 4)*(b + 1)
Let t(w) be the third derivative of 0 + 0*w**3 + 0*w - 1/150*w**5 - w**2 + 1/525*w**7 + 0*w**6 + 0*w**4. Factor t(b).
2*b**2*(b - 1)*(b + 1)/5
Let x(l) be the second derivative of 1/28*l**4 + 0*l**3 + 0 - 6/35*l**5 - 15*l + 0*l**2 + 8/35*l**6. Let x(m) = 0. Calculate m.
0, 1/4
Let a(s) be the third derivative of s**5/150 + 47*s**4/30 - 15*s**2 - 31. Factor a(n).
2*n*(n + 94)/5
Let v(t) be the first derivative of 51*t**4/4 - 2*t**3 - 102*t**2 + 24*t - 846. Determine l, given that v(l) = 0.
-2, 2/17, 2
Let b = -98 - -103. Let c(g) be the second derivative of -1/105*g**6 - 1/147*g**7 + 0 - 2*g + 1/70*g**b + 1/42*g**4 + 0*g**2 + 0*g**3. Solve c(t) = 0.
-1, 0, 1
Solve 2 + l - 71 + 25992*l**2 - 3 - 2*l**3 - 25968*l**2 - 47*l = 0.
-1, 4, 9
Let s(n) be the third derivative of 0*n**4 - 1/84*n**8 - 2/21*n**7 + 0 + 0*n - 7/30*n**6 - 4*n**2 + 0*n**3 - 1/5*n**5. Determine l, given that s(l) = 0.
-3, -1, 0
Let n = -1956 - -1960. Factor 0*b**2 + 0*b + 2/7*b**n + 1/7*b**3 + 0.
b**3*(2*b + 1)/7
Let p(b) = 3*b**2 + 8*b - 8. Let n = -53 + 58. Let y(r) = -2*r**2 - 4*r + 4. Let g(q) = n*y(q) + 3*p(q). Let g(o) = 0. What is o?
2
Let h(u) be the second derivative of -u**7/840 + u**6/80 - u**5/20 + 2*u**4/3 + 7*u. Let b(p) be the third derivative of h(p). Factor b(d).
-3*(d - 2)*(d - 1)
Find v such that 1/5*v**4 + 4/5*v - 4/5*v**2 - 1/5*v**3 + 0 = 0.
-2, 0, 1, 2
Let u(l) = 2*l**3 - 10*l**2 + 2*l - 2. Let f = -4 - -6. Let g(q) = 0*q - q + q**2 + f*q. Let x(j) = 4*g(j) + u(j). Determine y so that x(y) = 0.
1
Suppose -a = 5*u - 3*a - 43, 3*a - 39 = -4*u. Let v be 3/u*(6/(-1))/(-1). Find n, given that 2/3*n**v + 0 - 4/3*n + 2*n**3 = 0.
-1, 0, 2/3
Let v be (5 - (-1820)/(-24))*86/(-830). Let m = -1/166 + v. Solve 0 + 4/3*a - m*a**2 = 0.
0, 2/11
Let y(j) be the second derivative of -j**8/1848 + 2*j**7/1155 - j**5/165 + j**4/132 + 17*j**2/2 - 7*j. Let b(p) be the first derivative of y(p). Factor b(w).
-2*w*(w - 1)**3*(w + 1)/11
Let 1/10*y**2 + 1/2 + 3/5*y = 0. Calculate y.
-5, -1
Suppose 4*m = -5*u + 25 - 1, -5*m = 2*u - 30. Let g = 8 - 3. Factor -m*x**5 - 5*x**3 - 13*x**3 - 4*x**g - 4*x**2 - 24*x**4.
-2*x**2*(x + 1)**2*(5*x + 2)
Let p be 1*-1 + (-13575)/90. Let z = 152 + p. Let 0 - z*f**2 + 0*f = 0. What is f?
0
Let y be ((-1)/2)/(0 - (-60)/(-24)). Let w(m) be the first derivative of 1/6*m**4 + 0*m + 8 + y*m**5 + 1/18*m**6 + 0*m**3 + 0*m**2. Solve w(c) = 0.
-2, -1, 0
Let d(k) be the first derivative of 27*k**5/40 + 17*k**4/4 + 7*k**3 - 6*k**2 - 12*k - 13. Let q(a) be the first derivative of d(a). Factor q(t).
3*(t + 2)**2*(9*t - 2)/2
Let m = 1300 - 1300. Let w(q) be the second derivative of -3*q - 1/10*q**6 - 3/2*q**3 - 1/4*q**4 + 3*q**2 + 9/20*q**5 + m. Factor w(p).
-3*(p - 2)*(p - 1)**2*(p + 1)
Let l(a) be the third derivative of 0 + 0*a**3 - 1/105*a**7 + 1/15*a**6