
Let x be 100/15*((-428)/50 - (-4 - 6)). Factor -8/5*u**2 + 4/5*u**4 + 12/5*u**3 - x*u - 32/5.
4*(u - 2)*(u + 1)*(u + 2)**2/5
Factor 3*y**3 - 13150000*y**2 - y**3 + 1678104*y - 3370896 + 13153668*y**2.
2*(y - 2)*(y + 918)**2
Let l(f) = f**2 + 4*f - 4. Let w be -1 - 1 - (4 + -8). Suppose -16 = -2*r - w*r. Let o(q) = q**2 - q + 1. Let s(m) = r*o(m) + l(m). Let s(y) = 0. Calculate y.
0
Let l(b) be the third derivative of 0 + 0*b - 1/60*b**5 + 2*b**2 + 1/4*b**4 - 5/6*b**3. Determine g, given that l(g) = 0.
1, 5
Let s(n) be the second derivative of -n**5/15 + 22*n**4/9 + 32*n**3/9 - 704*n**2/3 + 6238*n. Find y, given that s(y) = 0.
-4, 4, 22
Suppose -484 - 480*z**2 + 18*z**3 + 35*z**3 - 45*z**3 + 460*z**4 - 968*z - 456*z**4 = 0. What is z?
-11, -1, 11
Let f(m) be the first derivative of -m**3 + 2319*m**2/2 - 12151. Factor f(g).
-3*g*(g - 773)
Let j(p) = -p**2 - 3*p + 19. Let n be j(-6). Let m be n*-3 - 2 - (-134)/26. What is i in -8/13*i + 0 + m*i**3 + 0*i**2 = 0?
-2, 0, 2
Let s(x) = x**2 - 46*x + 64. Let m(c) = -3*c**2 + 137*c - 194. Let q(z) = -6*m(z) - 17*s(z). Find u, given that q(u) = 0.
2, 38
Factor 370/3 - 1/6*b**2 - 184/3*b.
-(b - 2)*(b + 370)/6
Suppose p - 24 = 319*f - 323*f, 5*p - 2*f - 10 = 0. Let x(w) be the first derivative of -1/8*w**p + 1/4*w**2 - 1/2*w + 10 + 1/6*w**3. Factor x(r).
-(r - 1)**2*(r + 1)/2
Let i = 5545/166 - 35/498. Factor 10/3 + 55/3*d**3 + 35/3*d - i*d**2.
5*(d - 1)**2*(11*d + 2)/3
Factor 2/7*v**3 + 1396/7*v**2 - 2/7*v - 1396/7.
2*(v - 1)*(v + 1)*(v + 698)/7
Let z(h) = 18*h**4 + 82*h**3 - 70*h**2 + 20*h + 40. Let k(n) = 2*n**4 + n**2 + 2*n + 4. Let u(r) = -10*k(r) + z(r). Factor u(d).
-2*d**2*(d - 40)*(d - 1)
Let v(w) = -4*w**4 + 14044*w**3 + 27980*w**2 + 13956*w + 144. Let z(y) = y**4 - 2809*y**3 - 5596*y**2 - 2791*y - 30. Let r(o) = -5*v(o) - 24*z(o). Factor r(x).
-4*x*(x + 1)**2*(x + 699)
Determine b, given that 8/7 - 6/7*b**4 - 38/7*b - 10/7*b**3 + 46/7*b**2 = 0.
-4, 1/3, 1
Factor 63/4 - 3/4*c**3 - 71/4*c**2 - 165/4*c.
-(c + 3)*(c + 21)*(3*c - 1)/4
Let u(y) be the second derivative of -2 - 24*y**2 + 1/5*y**5 + 80/3*y**3 - 70*y - 37/9*y**4. Factor u(v).
4*(v - 6)**2*(3*v - 1)/3
Let f(x) = x**2 - 44*x + 290. Let j = -2335 + 2371. Let m be f(j). Solve 2/7*b - 2/7*b**4 - 4/7 - 2/7*b**3 + 6/7*b**m = 0.
-2, -1, 1
Let h be (1/2)/(5/(-80)). Let z = -6 - h. Let 25*j**2 + 284*j**4 - 15*j - z*j**3 - 3*j**3 - 289*j**4 = 0. What is j?
-3, 0, 1
Let b(v) = 2*v**2 + 98*v - 201. Let j be b(2). Let y(w) be the first derivative of 18*w**2 - 1 + 32*w + 4/3*w**j. Suppose y(g) = 0. What is g?
-8, -1
Let d = 7626 + -7623. Factor 1/8*c**d - 1/8*c + 1/4*c**2 - 1/4.
(c - 1)*(c + 1)*(c + 2)/8
Suppose 0 = -k + 4*w - 7, -k + w + 2 = -0. Find t such that 32*t - 50 - k*t**2 - 3*t + 26*t = 0.
1, 10
Let t(s) be the second derivative of -2*s**7/3 - 36*s**6/5 - 89*s**5/5 + 86*s**4/3 + 64*s**3 - 64*s**2 - 44*s. Solve t(q) = 0.
-4, -1, 2/7, 1
Suppose 2*j + 28 = 4*k, j + 19 = -264*k + 267*k. Suppose 4*w + 4 = 12. Solve 3*f - k*f + 11*f - 4*f**w - 6 + f**2 = 0.
1, 2
Factor 770132 - 799535 + 0*m**2 - 3*m**2 - 594*m.
-3*(m + 99)**2
Let o(z) be the second derivative of 2 + 65/24*z**4 + 15/4*z**2 - 5/8*z**5 - 7*z - 55/12*z**3. Let o(l) = 0. What is l?
3/5, 1
Let m = 125 - -613. Let s = -736 + m. Suppose 1/6*p**s + 1/3*p - 4/3 = 0. What is p?
-4, 2
Let c(b) be the second derivative of -121*b - 35/6*b**3 - 735/2*b**2 + 55/12*b**4 - 1/4*b**5 + 0. Factor c(t).
-5*(t - 7)**2*(t + 3)
Suppose 2*h - 8 = -2. Let y be ((-8910)/(-324) + -26)/((-3)/(-8)). Factor 1/4*w**h + 0*w - 1/4*w**y + 0*w**2 + 0.
-w**3*(w - 1)/4
Let -145*b**4 + 47*b**2 + 6*b**5 - 69 - 33*b**3 + 91*b**2 + 3*b**5 - 12*b + 115*b**4 - 3 = 0. What is b?
-2, -2/3, 1, 2, 3
Let x(a) be the first derivative of 10*a**2 + 5/4*a**4 + 0*a - 170 - 20/3*a**3. Factor x(t).
5*t*(t - 2)**2
Let h(d) = 23*d - 217. Let x be h(10). Determine y, given that -26 - 3 - 16 + x - 64 - 4*y**2 + 44*y = 0.
3, 8
Let j be (14/42)/(1/3)*3. Solve -19*f**2 - 7*f**2 - 5*f + 26*f**4 - f - 4*f**j + 2*f + 8*f = 0.
-1, 0, 2/13, 1
Let c(b) be the first derivative of -b**4/20 - 656*b**3/15 - 21905*b**2/2 - 126750*b + 7625. Suppose c(f) = 0. Calculate f.
-325, -6
Suppose 4*l = -0*l - 4*l. Factor l*d + 3*d**3 + 2*d**3 + 6*d**2 + 4*d**2 + 5*d.
5*d*(d + 1)**2
Let d(f) be the first derivative of 2*f**5/55 - f**4/11 - 2*f**3/3 + 12*f**2/11 - 864. Factor d(r).
2*r*(r - 4)*(r - 1)*(r + 3)/11
Find c such that -27*c + 6*c**5 + 38*c**2 + 156*c**4 + 69*c**3 - 29*c**2 - 117*c**4 = 0.
-3, -1, 0, 1/2
Let q be 477/(-636) - ((-1917)/(-4) - 1). Let p = q - -480. Find d such that p - 2*d**4 - 1/2*d**5 - 2*d**3 + 5/2*d + d**2 = 0.
-2, -1, 1
Suppose -5*d**2 + 31*d**2 - 47*d + d**3 + 411*d + 33*d**2 = 0. What is d?
-52, -7, 0
Find i such that 126/5*i**3 - 48/5 - 2*i**5 + 62/5*i**2 - 14/5*i**4 - 116/5*i = 0.
-4, -1, -2/5, 1, 3
Let l be (((-120)/14)/3)/((-78)/273). Let 44 - i - 25*i**3 + 5*i**5 + 21*i - 9 + 5 + l*i**4 - 50*i**2 = 0. What is i?
-2, -1, 1, 2
Let z(g) be the third derivative of 25*g**8/1176 + 37*g**7/49 - 38*g**6/35 + 46*g**5/105 + 34*g**2 - 148. Factor z(m).
2*m**2*(m + 23)*(5*m - 2)**2/7
Let n(b) = b**2 + b + 3. Let c be n(0). Let r be (-1)/c + (-7)/(-3). Find m such that 4 + 6*m - 16*m - r*m**2 + 12*m = 0.
-1, 2
Let d(w) be the first derivative of -w**6/6 - 2*w**5/3 + 41*w**4/12 - 40*w**3/9 + 2*w**2 - 2483. What is z in d(z) = 0?
-6, 0, 2/3, 1
Let s(p) be the first derivative of -10/27*p**3 + 2/45*p**5 - 45 + 0*p + 2/3*p**2 - 1/9*p**4. Factor s(u).
2*u*(u - 3)*(u - 1)*(u + 2)/9
Let t(k) be the second derivative of k**9/3024 - k**8/168 - k**7/56 + 7*k**4/2 - k**3/2 - 76*k. Let i(z) be the third derivative of t(z). Factor i(b).
5*b**2*(b - 9)*(b + 1)
Let a(t) be the first derivative of 274 + 6/5*t**5 + 0*t - 1/9*t**6 + 5/3*t**4 + 0*t**2 + 0*t**3. Find o, given that a(o) = 0.
-1, 0, 10
Let t(g) = g**3 + 11*g**2 + 68*g - 88. Let m(y) = -2*y**3 - 13*y**2 - 69*y + 96. Let c(a) = -2*m(a) - 3*t(a). Factor c(n).
(n - 12)*(n - 1)*(n + 6)
Let u(k) be the second derivative of 1/120*k**6 + 19/24*k**3 + 233*k + 9/80*k**5 + 7/16*k**4 + 0 + 3/4*k**2. Determine w so that u(w) = 0.
-6, -1
Let l = 61 + -44. Suppose -l*z + 13*z + 8 = 0. Suppose 3*b**4 + z*b**5 - 2*b**5 - b**5 - b**3 - b**3 = 0. Calculate b.
0, 1, 2
Let f = 286 + -283. What is o in -263*o + 12*o**2 + 12*o**f + 135*o + 128*o - 45*o**4 = 0?
-2/5, 0, 2/3
Let z be (-12)/(-6*(-10)/(-120)). Let g be 4/(-6)*z/(-48). Let -1/2*c**2 - g - 7/6*c = 0. What is c?
-2, -1/3
Let o(a) be the second derivative of 1/180*a**5 + 11/2*a**2 + 0*a**3 + 0 - 1/36*a**4 + 30*a. Let f(z) be the first derivative of o(z). Factor f(d).
d*(d - 2)/3
Let n(f) be the second derivative of -f**5/4 + 245*f**4/6 + 165*f**3/2 + 1640*f. Factor n(a).
-5*a*(a - 99)*(a + 1)
Let p(h) = h**2. Let v(w) = w**3 - w**2 - 30. Let a = -56 + 56. Let q be v(a). Let r(o) = 5*o**3 + 25*o**2. Let c(f) = q*p(f) + r(f). Factor c(s).
5*s**2*(s - 1)
Factor 88 + 64/5*g + 2/5*g**2.
2*(g + 10)*(g + 22)/5
Let k = 18452 - 18448. Let l(m) be the second derivative of 20*m + 0 + 6*m**2 + k*m**3 - 3/10*m**5 + 3/4*m**4 - 1/10*m**6. Suppose l(i) = 0. Calculate i.
-2, -1, 2
Let d(q) be the first derivative of 0*q**5 + 0*q + 1/900*q**6 + 0*q**2 + 1/3*q**3 + 25 + 0*q**4. Let c(l) be the third derivative of d(l). Solve c(w) = 0 for w.
0
Let n(y) be the second derivative of 4 + 1/48*y**4 + 1/24*y**3 + 7*y - 3/2*y**2. Factor n(x).
(x - 3)*(x + 4)/4
Let j(z) be the first derivative of 2*z**5 - 355*z**4/4 - 550*z**3/3 - 185*z**2/2 - 173. Determine b so that j(b) = 0.
-1, -1/2, 0, 37
Let f(t) = 8*t + 69. Let q be f(-8). Suppose -q*n = 22*n - 54. Factor -n*p + 1 - 1/4*p**3 + 5/4*p**2.
-(p - 2)**2*(p - 1)/4
Let l(b) = -2*b + 40. Let c be l(19). Let a(o) be the first derivative of 6*o**2 - 17 - 25*o + 19*o - 16*o**c - o**3 - o**3. Factor a(y).
-2*(y + 3)*(3*y + 1)
Let v(w) = w**2 + w + 1. Let k(j) = -j**2 - 124*j + 3719. Let i(c) = 3*k(c) + 6*v(c). Factor i(q).
3*(q - 61)**2
Solve 3/7*s**2 + 0*s + 2/7*s**3 + 0 - 1/7*s**4 = 0.
-1, 0, 3
Let p(t) = 10*t**3 - 10*t**2 + 17*t + 1. Let q be p(2). Suppose -q*n + 159 = -22*n. Solve -1/2*k**n + 1/2*k + 0*k**2 + 0 = 0.
-1, 0, 1
Let v(b) be the second derivative of -5*b**7/84 - 11*b**6/12 - 27*b**5/8 + 115*b**4/24 + 155*b**3/3 + 105*b**2 