 Let b be f(-7). Find a such that 15 - 3 + 2*a + 6*a**b - 24*a = 0.
2/3, 3
Let g = -7413 + 22267/3. Factor 4/3*v**4 + 32/3 - g*v**3 + 24*v**2 - 80/3*v.
4*(v - 2)**3*(v - 1)/3
Let g be (3/4)/(-10 + (-1425)/(-120)). What is o in g*o**2 + 32/5 + 16/5*o = 0?
-4
Let 2/5*r**5 - 3/5*r**3 + 1/5*r + 0 - 1/5*r**4 + 1/5*r**2 = 0. Calculate r.
-1, -1/2, 0, 1
Let p(x) be the first derivative of 3/5*x**5 + 0*x**3 + 0*x**2 + 10 - 3/10*x**4 + 0*x. Factor p(u).
3*u**3*(5*u - 2)/5
Let i(w) be the third derivative of -w**5/60 - w**4/12 + w**3/2 + 77*w**2. Let i(p) = 0. What is p?
-3, 1
Let a(h) be the second derivative of 7*h**6/120 + 3*h**5/20 - 2*h**4/3 - 2*h**3 + 2*h**2 + 22*h. Factor a(v).
(v - 2)*(v + 2)**2*(7*v - 2)/4
Let l(n) be the first derivative of -n**7/5880 - n**6/2520 - 41*n**3/3 + 21. Let s(f) be the third derivative of l(f). Let s(k) = 0. What is k?
-1, 0
Let f(d) be the third derivative of d**5/140 - d**4/14 - 3*d**3/2 + 114*d**2. Factor f(o).
3*(o - 7)*(o + 3)/7
Factor -74/3*l + 0 + 2/3*l**2.
2*l*(l - 37)/3
Let h(l) be the third derivative of 8/3*l**3 + 1/30*l**6 - 14*l**2 + 0*l + 4/3*l**4 + 0 + 1/3*l**5. Factor h(y).
4*(y + 1)*(y + 2)**2
Let n(t) = t**2 - 12*t - 11. Let d be n(13). Suppose 0 = -5*f + 4*b + 32, -d*b = 3*f + 2 - 8. Determine g so that -2/5*g**3 + 0*g + 0 - 4/5*g**2 + 6/5*g**f = 0.
-2/3, 0, 1
Let y = -8581 + 42906/5. Find v such that -y*v**4 - 1/5*v**2 + 2/5 - 3/5*v + 3/5*v**3 = 0.
-1, 1, 2
Suppose -3*p = -b + 204, 0 = 2*p - 4*p + 4*b - 146. Let n = p - -71. Determine i so that 2/7*i**3 + 0 - 2/7*i**2 + 2/7*i**n - 2/7*i = 0.
-1, 0, 1
Let z(k) be the first derivative of -k**5/25 - 2*k**4/5 - 2*k**3/5 + 4*k**2/5 + 7*k/5 + 110. Factor z(r).
-(r - 1)*(r + 1)**2*(r + 7)/5
Let j(f) be the first derivative of 1/5*f - 32 + 1/15*f**3 + 1/5*f**2. Find l such that j(l) = 0.
-1
Let a(j) be the second derivative of -5*j**7/42 + j**6/6 + j**5/4 - 5*j**4/12 + 88*j. Factor a(i).
-5*i**2*(i - 1)**2*(i + 1)
Let c(u) = -15*u**5 + 9*u**4 + 51*u**3 - 62*u**2 + 12. Let r(b) = 75*b**5 - 45*b**4 - 255*b**3 + 309*b**2 - 60. Let h(i) = 24*c(i) + 5*r(i). Factor h(g).
3*(g - 1)**3*(g + 2)*(5*g + 2)
Let v(r) be the second derivative of r**7/14 - 4*r**6/5 + 63*r**5/20 - 7*r**4/2 - 10*r**3 + 36*r**2 - 207*r. Let v(k) = 0. Calculate k.
-1, 2, 3
Let i(h) = h**3 - h + 2. Let t be i(0). Suppose 6*c - 1 + 5*c**2 - 4*c**t - 5 + 11 = 0. Calculate c.
-5, -1
Let -8/13*u**2 - 6/13*u + 2/13*u**3 + 36/13 = 0. Calculate u.
-2, 3
Let s(m) be the third derivative of -26*m**2 - 1/28*m**4 - 1/70*m**5 + 0 - 1/420*m**6 - 1/21*m**3 + 0*m. Let s(k) = 0. What is k?
-1
Find u such that 2/3*u + 4/3*u**2 - 4/3*u**4 + 0*u**3 - 2/3*u**5 + 0 = 0.
-1, 0, 1
Suppose -4*y + 19 = 3. Suppose y*v - 27 - 33 = 0. Factor 0 + 0 + v*g + 10*g**3 - 13*g - 12*g**2.
2*g*(g - 1)*(5*g - 1)
Suppose 15*b + 30 = 21*b. Factor 19*o**3 - 18*o**3 - 98*o**2 - o**b + 98*o**2.
-o**3*(o - 1)*(o + 1)
Factor -33/7*d**2 - 12/7*d**3 - 18/7*d + 3/7*d**4 + 0.
3*d*(d - 6)*(d + 1)**2/7
Let u(d) be the third derivative of d**8/1680 + 3*d**7/350 + 19*d**6/600 - 3*d**5/100 - d**4/6 - 498*d**2. Find b, given that u(b) = 0.
-5, -4, -1, 0, 1
Suppose 11*s - 4*s - 28 = 0. Determine h, given that -4*h**3 + 14 - 2*h**4 + h**s + 2 + 16*h = 0.
-2, 2
Let h(q) be the third derivative of 0*q - 9*q**2 + 1/20*q**5 - 3/2*q**3 + 0 - 1/4*q**4. Factor h(o).
3*(o - 3)*(o + 1)
Let h(i) be the first derivative of -2/45*i**3 + 1/15*i**2 + 0*i - 2. Factor h(d).
-2*d*(d - 1)/15
Let o(w) be the first derivative of w**6/60 - w**5/10 + w**4/6 - 15*w**2/2 + 12. Let v(g) be the second derivative of o(g). Determine h so that v(h) = 0.
0, 1, 2
Let -136/9*l**2 - 44/9*l**3 + 0 - 4/3*l = 0. Calculate l.
-3, -1/11, 0
Let x(n) be the third derivative of -3*n**5/5 + 29*n**4/6 - 21*n**2. Let z(g) = 7*g**2 - 23*g. Let t(j) = 3*x(j) + 16*z(j). Determine c so that t(c) = 0.
0, 5
Let l be (-6)/14*-8*(-949 + 950). Suppose l*x + 3/7*x**3 + 12/7 + 15/7*x**2 = 0. What is x?
-2, -1
Let q(i) be the third derivative of 43*i**2 + 0*i + 0 + 1/30*i**5 + 16/3*i**3 - 2/3*i**4. Factor q(v).
2*(v - 4)**2
Let x(m) = m - 2. Let j(s) = -2*s**2 + 52*s + 18. Let y(l) = -j(l) + 12*x(l). Factor y(n).
2*(n - 21)*(n + 1)
What is s in -14 - 11*s**2 - 4 + 12*s**2 + 3*s = 0?
-6, 3
What is x in 16/3*x + 5/3*x**4 - 2/3*x**3 - 5*x**2 - 4/3 = 0?
-2, 2/5, 1
Let k(j) be the second derivative of j**6/240 + 3*j**5/80 + j**4/8 - 11*j**3/6 + 8*j. Let c(q) be the second derivative of k(q). Factor c(z).
3*(z + 1)*(z + 2)/2
Let v be 0/((-4 + 9)*-1). Determine u so that v - 2/7*u**3 + 32/7*u**4 - 2/7*u**2 + 32/7*u**5 + 0*u = 0.
-1, -1/4, 0, 1/4
Let j be ((-22)/(-33))/(4/54). Suppose 6*z = 3*z + j. Find f, given that 22 + 18*f**2 + 4*f**4 - 11*f**z - 3*f**3 - 10*f - 20 = 0.
1/2, 1
Let n(g) = 25*g**2 + 44*g + 12. Let y(q) = 2*q**2. Let u(f) = -2*n(f) + 18*y(f). Find c such that u(c) = 0.
-6, -2/7
Let f be 11/(-3) - 24/72. Let s = 19 + f. Factor 12*k**4 + 0*k + 0*k**2 + 12/5*k**3 + s*k**5 + 0.
3*k**3*(5*k + 2)**2/5
Let w(m) = -4*m**5 + 28*m**4 + 12*m**3 + 10*m**2 + 10*m. Let s(r) = -r**5 + 9*r**4 + 4*r**3 + 3*r**2 + 3*r. Let y(l) = 10*s(l) - 3*w(l). Solve y(f) = 0.
-2, -1, 0
Suppose -7*h + 230 = 76. Let t be (-2)/(-1) - h/13. Suppose -2/13 - 2/13*i**4 + t*i**2 + 2/13*i**5 - 4/13*i**3 + 2/13*i = 0. Calculate i.
-1, 1
Suppose -34*k + 10 = -32*k. Factor -r**2 - 37*r - 6*r**3 + 33*r - k*r**2 + 4*r**3.
-2*r*(r + 1)*(r + 2)
Let v(o) = -o**2 + 10*o - 2. Let a be v(9). Suppose x = -4*d + a*d + 14, 3*x + 14 = -5*d. What is p in 14/9*p**x - 8/9 - 8/3*p = 0?
-2/7, 2
Let d(y) be the third derivative of 0*y - 5/336*y**8 + 0*y**3 + 0*y**4 - 8*y**2 + 0*y**6 + 0 + 1/42*y**7 + 0*y**5. Factor d(t).
-5*t**4*(t - 1)
Factor 17*p**2 - 5*p**2 - 72*p - 15*p**2.
-3*p*(p + 24)
Suppose 10*c - 16*c + 14 = -4*g, -g = -2*c + 5. Factor 6/5*k**c - 14/5*k + 4 - 28/5*k**2.
2*(k - 5)*(k + 1)*(3*k - 2)/5
Suppose 12/7*a**4 + 3/7*a**5 + 9/7*a**3 + 0 + 0*a + 0*a**2 = 0. What is a?
-3, -1, 0
Let f(p) be the third derivative of -p**6/240 - 3*p**5/40 + p**4/48 + 3*p**3/4 - 27*p**2. Find m such that f(m) = 0.
-9, -1, 1
Let -331*v**4 + 7*v**5 - 450 + 70*v**2 + 117*v**4 + 28*v**5 - 1215*v + 880*v**3 - 126*v**4 - 420*v = 0. Calculate v.
-1, -2/7, 3, 5
Let x = 28263 - 197835/7. What is b in -6/7*b**4 + 3/7*b**5 + 0*b**3 - 3/7*b + x*b**2 + 0 = 0?
-1, 0, 1
Let t(o) be the first derivative of -o**4/6 - 110*o**3/9 - 18*o**2 - 642. Factor t(a).
-2*a*(a + 1)*(a + 54)/3
Let z(o) be the first derivative of o**3/18 - o**2/4 - 20. Find m such that z(m) = 0.
0, 3
Let l(h) be the second derivative of h**7/1155 - h**6/330 + h**5/330 - 9*h**2 + 24*h. Let f(u) be the first derivative of l(u). Factor f(j).
2*j**2*(j - 1)**2/11
Let u(c) = 6*c**4 + 41*c**3 + 34*c**2 - 36*c - 35. Let l(b) = -b**4 + b**2 - b - 1. Let z(x) = -5*l(x) - u(x). What is a in z(a) = 0?
-40, -1, 1
Let z = 2997/34 - 370229/4182. Let a = -2/41 - z. Find y, given that 0 + a*y**2 + 0*y - 1/6*y**4 + 1/6*y**3 = 0.
-1, 0, 2
Let r(t) be the third derivative of t**8/336 - t**7/35 - t**6/40 + t**5/3 - t**4/2 + 271*t**2. Factor r(m).
m*(m - 6)*(m - 1)**2*(m + 2)
Factor -2/9*n**3 - 52/9 + 10/3*n + 8/3*n**2.
-2*(n - 13)*(n - 1)*(n + 2)/9
Find d, given that -72*d + 1/3*d**2 + 3888 = 0.
108
Let o(z) = -15*z - 6. Let u be 3/(-2)*(-8)/(-3). Let b be o(u). Let 27*c**2 + 81/2 + 1/2*c**4 + 6*c**3 + b*c = 0. What is c?
-3
Suppose -4*o + 22 = 2*r, r = 3*o - 0*o - 4. Let n(j) = -j**4 - j**3 + j**2 + j + 7. Let w(k) = 1. Let g(u) = r*n(u) - 35*w(u). Determine t, given that g(t) = 0.
-1, 0, 1
Let l(w) = -w**4 + 5*w**3 + 27*w**2 + 7*w - 38. Let r(i) = 3*i**4 - 15*i**3 - 80*i**2 - 20*i + 112. Let o(q) = -8*l(q) - 3*r(q). Factor o(s).
-(s - 8)*(s - 1)*(s + 2)**2
Let w be (-1)/(-2)*1*-18. Let g be 4*(w/6 - -2). Factor -2*n**g + 2*n - 5*n**2 + n**2 + 0*n.
-2*n*(3*n - 1)
Let v be -5 - 182/(-36) - (-279)/810. Factor 8/5*q + 2/5*q**4 - v*q**2 + 0 - 8/5*q**3.
2*q*(q - 4)*(q - 1)*(q + 1)/5
Let p be ((-2)/(-4))/(1/3). Suppose 89*a = l + 93*a + 18, 4*a + 24 = 2*l. Factor -3/4 - p*h - 3/4*h**l.
-3*(h + 1)**2/4
Let b = -3688 + 3690. Suppose -18*d**b + 10*d**3 + 48/5*d - 8/5 = 0. Calculate d.
2/5, 1
Let j(y) be the third derivative of 2*y**5/135 - 11*y**4/108 - y**3/9 - 120*y**2 - 1. Find m, given that j(m) = 0.
-1/4, 3
Let t(l) be th