et n = -39 + 41. What is d in -2 + 2*d**2 + 12 - 15*d + 3*d**n = 0?
1, 2
Factor -6/5*a + 0 - 1/5*a**2.
-a*(a + 6)/5
Let m(s) be the first derivative of 13 + 7/8*s**4 - 2*s + 19/6*s**3 + 2*s**2. Let m(y) = 0. Calculate y.
-2, -1, 2/7
Let c(j) = -7*j**2 + 10*j. Let x(q) = -q + 5 + q**2 - 5. Let t = 84 + -87. Let d(z) = t*c(z) - 24*x(z). Suppose d(h) = 0. Calculate h.
-2, 0
Let k(y) = 9*y**4 - 15*y**3 + 20*y**2. Let c(j) = -5*j**4 + 8*j**3 - 11*j**2. Let o(w) = 7*c(w) + 4*k(w). Factor o(s).
s**2*(s - 3)*(s - 1)
Suppose 36/5*c + 0 - 39/5*c**2 - 7/5*c**4 - 38/5*c**3 = 0. What is c?
-3, 0, 4/7
Factor -4*m - 1225 + 76*m - m**2 - 2*m.
-(m - 35)**2
Let p(y) be the first derivative of -4 + 9/2*y**2 + y**3 + 6*y. Determine o so that p(o) = 0.
-2, -1
Let p = -9072 + 9074. Factor 22/5*r - 1/5*r**p - 121/5.
-(r - 11)**2/5
Let j(f) be the third derivative of -f**6/160 - 11*f**5/20 - 121*f**4/8 - f**2 + 139. Factor j(c).
-3*c*(c + 22)**2/4
Let l be ((15/(-2))/(-5))/(-33 - -35). Let w be (-22)/8 + (-2)/8 - -7. Factor l*q**3 + 0 + 3/4*q**2 - 3/4*q**w - 3/4*q.
-3*q*(q - 1)**2*(q + 1)/4
Factor 0 - 2/7*d**2 + 6/7*d.
-2*d*(d - 3)/7
Determine k, given that 0*k + 0*k**3 - 2/9*k**4 + 0 + 0*k**2 - 4/9*k**5 = 0.
-1/2, 0
Factor 62/9*g**2 - 1/9*g**4 - g**3 + 56/9 - 12*g.
-(g - 2)**2*(g - 1)*(g + 14)/9
Let r = 40 + -44. Let i be 2/r - 10/(-4). Let 0 + 2/5*q**4 - 2/5*q - 2/5*q**i + 2/5*q**3 = 0. What is q?
-1, 0, 1
What is l in 714 + 2461*l - l**4 - 3418 - 102*l**3 + 2843*l - 2497*l**2 = 0?
-52, 1
Factor -123 - 569*x + 167*x - 3*x**2 + 276*x + 0*x**2.
-3*(x + 1)*(x + 41)
Find b such that 65*b**2 + 210*b**2 + 332*b**3 - 100*b**4 + 56*b + 4 + 218*b**3 + 475*b**4 = 0.
-2/3, -2/5, -1/5
Let -13/4*v**2 + 11/4*v**3 - 11/4*v + 3/2 + 7/4*v**4 = 0. Calculate v.
-2, -1, 3/7, 1
Let q(w) be the third derivative of w**6/360 - w**5/30 - w**4/2 - 20*w**3/9 - w**2 - 206*w. Solve q(f) = 0.
-2, 10
Let h be -2*(7/(-2) - -3). Suppose -d - h = -2*s, 1 = -d + 4. Factor -11*k**4 + 5*k**s - k**2 - 29*k**3 + 4*k + 32*k**4.
k*(k - 1)*(3*k - 2)*(7*k + 2)
Let g(d) be the third derivative of -d**7/1785 - d**6/30 - 253*d**5/510 + 3*d**4 - 108*d**3/17 - 22*d**2 + 3. Factor g(n).
-2*(n - 1)**2*(n + 18)**2/17
Let o(y) be the first derivative of y**5/30 + 89*y**4/24 + 44*y**3/9 + 482. Factor o(f).
f**2*(f + 1)*(f + 88)/6
Suppose 1/3*w**4 - 5/6*w**3 - 2/3*w - 11/6*w**2 + 0 = 0. Calculate w.
-1, -1/2, 0, 4
Let k(s) = -s**2 + s + 4. Let c be k(2). Factor 6*i**3 - 3*i**4 + 16*i**2 - 4*i**c - 4*i**2 - 11*i**2.
-3*i**2*(i - 1)**2
Let v(d) = -58*d + 758. Let g be v(13). Suppose 20 = a + 3*a. Let 0*n - 3/5*n**a + 6/5*n**g + 0 + 3/5*n**3 - 6/5*n**2 = 0. Calculate n.
-1, 0, 1, 2
Factor 12*u**3 + 0*u + 0 + 8/3*u**2 + 28/3*u**4.
4*u**2*(u + 1)*(7*u + 2)/3
Let c = -4197 - -29382/7. Factor c*l + 6/7*l**2 + 3/7*l**3 + 0.
3*l*(l + 1)**2/7
Let q = -317 - -321. Let x(l) be the first derivative of 1/5*l - 3/10*l**2 - 1/20*l**4 - q + 1/5*l**3. Solve x(m) = 0 for m.
1
Let m = 5720 - 57307/10. Let h = m + 56/5. Find y such that -h*y**4 + 0 - 1/4*y + 1/4*y**5 + 1/2*y**2 + 0*y**3 = 0.
-1, 0, 1
Let z(g) = g**3 - g**2 - 2*g - 2. Let c(n) = -n**4 - 167*n**3 - 6721*n**2 + 6893*n + 4. Let i(m) = c(m) + 2*z(m). Factor i(t).
-t*(t - 1)*(t + 83)**2
Let g(o) be the second derivative of 0 + 1/42*o**4 + 1/70*o**5 - 5/21*o**3 - 34*o + 3/7*o**2. Factor g(h).
2*(h - 1)**2*(h + 3)/7
Let u(r) = 3*r**3 + r**2 - 2*r + 1. Let f be u(1). Let b(p) be the second derivative of 0 + 3/14*p**f + 1/12*p**4 + 1/7*p**2 + 2*p. Factor b(d).
(d + 1)*(7*d + 2)/7
Let g = -4 + 3. Let w = g + 10. Factor -w*r**3 + 0*r**4 + 9*r**2 - 3*r + 3*r**4 + 0*r**4.
3*r*(r - 1)**3
What is i in -16/5*i**5 - 192/5*i**4 - 708/5*i**2 - 288/5*i - 596/5*i**3 + 0 = 0?
-8, -3/2, -1, 0
Let s(q) be the second derivative of 0 + 1/4*q**4 + 3/2*q**3 + 0*q**2 + 48*q. Factor s(z).
3*z*(z + 3)
Let j(g) be the first derivative of -g**6/18 - g**5/5 - g**4/4 - g**3/9 + 2. Suppose j(y) = 0. What is y?
-1, 0
Suppose 3*l - 4 = -o, -2*l - 4 = 4*o - 0. Factor -4*k**2 - 4*k + l*k**2 + 7*k - 5*k + 2*k**3 + 2.
2*(k - 1)**2*(k + 1)
Let f(y) be the second derivative of -y**7/56 + y**6/40 + 27*y**5/80 + 11*y**4/16 + y**3/2 + 8*y - 1. Factor f(o).
-3*o*(o - 4)*(o + 1)**3/4
Let j = -18298/39 - -1408/3. Let j*a**2 - 12/13*a + 18/13 = 0. Calculate a.
3
Let l(v) be the third derivative of 3*v**7/350 - 9*v**6/40 + 217*v**5/150 + 68*v**4/15 + 64*v**3/15 + 15*v**2. Let l(c) = 0. Calculate c.
-2/3, -1/3, 8
Let l(x) be the second derivative of -x**7/630 - x**6/180 - x**5/180 - 5*x**2/2 - x. Let c(g) be the first derivative of l(g). Factor c(j).
-j**2*(j + 1)**2/3
Let j(k) = -k**3 + 37*k**2 + 52*k - 97. Let c(x) = -2*x**3 - x**2 - x + 1. Let n(d) = 3*c(d) - j(d). Factor n(a).
-5*(a - 1)*(a + 4)*(a + 5)
Let u(i) be the first derivative of i**3/12 - 15*i**2/4 + 29*i/4 - 190. Factor u(n).
(n - 29)*(n - 1)/4
Let y be ((-53)/(-742))/((-33)/(-21) + 1). Let a(k) be the second derivative of -2*k + 2/9*k**3 + 1/2*k**2 + y*k**4 + 0. Let a(u) = 0. What is u?
-3, -1
Let h(w) = w**3 + 6*w**2 - 17*w + 16. Let g be h(-8). Let o be 68/g - (-8)/(-6). Factor 3/8*x**2 - 9/8*x - o.
3*(x - 4)*(x + 1)/8
Let z(t) be the first derivative of -3*t**5/25 - 21*t**4/20 - 18*t**3/5 - 6*t**2 - 24*t/5 + 77. What is s in z(s) = 0?
-2, -1
Let f(s) be the first derivative of -s**6/3 - 4*s**5/5 + 3*s**4/2 + 16*s**3/3 + 4*s**2 + 42. Let f(o) = 0. What is o?
-2, -1, 0, 2
Let r(o) be the third derivative of -o**9/20160 - o**8/1680 + 11*o**5/60 + 27*o**2. Let a(z) be the third derivative of r(z). What is g in a(g) = 0?
-4, 0
Let f = 15 + -14. Let y be 0 - (-4 + 2)*f. Let 7 - 12*q + 3*q**y - 5 + 7 = 0. Calculate q.
1, 3
Determine z, given that 44 - 54 + 27*z - 2*z**2 - 3*z**2 = 0.
2/5, 5
Let u(q) be the first derivative of 1/16*q**4 - 1/48*q**6 + 1/8*q + 1/40*q**5 - 1/16*q**2 - 24 - 1/12*q**3. Factor u(p).
-(p - 1)**3*(p + 1)**2/8
Solve 20*d**4 + 5*d**3 - 1657*d**2 + 0*d**4 - 5*d**5 + 1637*d**2 = 0.
-1, 0, 1, 4
Let w(d) be the third derivative of 5*d**8/112 - 4*d**7/35 - d**6/10 - 40*d**2. Find u, given that w(u) = 0.
-2/5, 0, 2
Suppose 0*w + 8 = 2*w + 2*o, 3*w - o = 4. Suppose -9*n + 8*n + 0*n + 8*n**2 + w + 9*n = 0. What is n?
-1/2
Let j(f) = -36*f**3 + 2*f**2 + 6*f + 11*f**3 + 12*f**2 - 25 + 30*f. Let v(s) = -5*s**3 + 3*s**2 + 7*s - 5. Let c(y) = -2*j(y) + 11*v(y). Factor c(u).
-5*(u - 1)**2*(u + 1)
Let h = 17614/3 - 5870. Factor -4 - 2/3*g**3 + 10/3*g + h*g**2.
-2*(g - 3)*(g - 1)*(g + 2)/3
Let t be 6/((-10)/(-4) - 1). Let y be t/1 + 0 + 4. Factor 115*c**2 + 66*c**3 + 86*c**3 - 12*c + 25*c**2 - y - 8*c**3.
4*(c + 1)*(4*c - 1)*(9*c + 2)
Suppose 0 = -3*x + t + 5, 4*x + 5 = -3*t + 16. Let r be 2 - -20*x/(-22). Factor 0 + 4/11*w**3 - 4/11*w - 2/11*w**2 + r*w**4.
2*w*(w - 1)*(w + 1)*(w + 2)/11
Factor p**5 - 2*p**3 + 5 - 6*p**2 - 6*p**2 - 2*p + 5*p**4 + 3*p + 2*p**2.
(p - 1)**2*(p + 1)**2*(p + 5)
Let s be (-60)/(-810)*3*2. Find o such that s + 2/9*o - 2/9*o**2 = 0.
-1, 2
Let y be 1/8 - 1767/(-456). Let r(a) be the first derivative of -1/18*a**6 + 1/12*a**y + 0*a**3 + 0*a**5 + 0*a + 5 + 0*a**2. Determine o so that r(o) = 0.
-1, 0, 1
Suppose -16*w + 26 - 52 = -26. Suppose w*x + 2/7*x**2 + 0 = 0. Calculate x.
0
Let o(x) be the third derivative of 14*x**2 - 1/1680*x**8 + 1/350*x**7 + 0 + 0*x + 0*x**3 - 1/75*x**5 + 0*x**4 + 0*x**6. Factor o(z).
-z**2*(z - 2)**2*(z + 1)/5
Let f(o) be the second derivative of o**6/60 - o**4/12 + 9*o**2/2 - 5*o. Let b(k) be the first derivative of f(k). Factor b(x).
2*x*(x - 1)*(x + 1)
Let t(k) = -9*k**3 + 21*k**2 + 102*k + 80. Let u(y) = 8*y**3 - 22*y**2 - 104*y - 80. Let l(x) = 3*t(x) + 4*u(x). Factor l(v).
5*(v - 8)*(v + 1)*(v + 2)
Suppose -2*k - 27 + 39 = u, 42 = k + 5*u. Suppose -3/2*t + 3/2*t**k - 3 = 0. What is t?
-1, 2
Let l be 5330/(-90) + (2 - 1 - 1). Let m = -59 - l. Solve 2/9*o - m*o**2 + 0 = 0.
0, 1
Let r(j) = 17*j**4 + 23*j**3 - 10*j**2 - 37*j - 7. Let p(u) = 5*u**4 + 8*u**3 - 3*u**2 - 12*u - 2. Let q(z) = 7*p(z) - 2*r(z). Determine l, given that q(l) = 0.
-10, -1, 0, 1
Let g(h) be the second derivative of h**5/16 - h**4/6 + h**3/24 + h**2/4 + 8*h - 6. Factor g(f).
(f - 1)**2*(5*f + 2)/4
Let t(g) be the third derivative of 0 - 1/2*g**3 + 0*g + 1/20*g**5 + 0*g**4 - 14*g**2. Factor t(j).
3*(j - 1)*(j + 1)
Let o(k) = 2*k 