2 + 672*g**3 - 147*g**4 + n*g - 48.
-3*(g - 2)**2*(7*g - 2)**2
Let p(j) be the second derivative of -j**7/42 + 3*j**6/10 - 7*j**5/10 - 17*j**4/6 + 5*j**3/2 + 25*j**2/2 + 3*j + 40. Factor p(m).
-(m - 5)**2*(m - 1)*(m + 1)**2
Let w(n) be the first derivative of -49*n**6/10 + 2184*n**5/25 - 4497*n**4/10 + 2184*n**3/5 - 1323*n**2/10 + 800. Determine c so that w(c) = 0.
0, 3/7, 7
Let t = -2084 + 4047/2. Let n = 61 + t. Factor -j**3 + j**2 + 1/2*j**5 - n*j**4 + 1/2*j - 1/2.
(j - 1)**3*(j + 1)**2/2
Let g(b) be the first derivative of b**4/4 - 7*b**3/3 + 9*b**2/2 + 7*b - 16. Let h be g(5). Factor -2/3*q**3 - h*q + 2*q**2 + 2/3.
-2*(q - 1)**3/3
Let j = 3883/518 + 1/259. Find n such that 5/2*n**2 + 5/2*n**4 + 15/2*n**3 - j*n - 5 = 0.
-2, -1, 1
Let y(m) be the third derivative of -m**5/150 + 5*m**4/36 - 8*m**3/45 - 21*m**2 + 2. Let y(d) = 0. What is d?
1/3, 8
Let p = 9/17 - 11/85. Factor 18/5*a**2 - 2*a**3 + 4/5 + p*a**4 - 14/5*a.
2*(a - 2)*(a - 1)**3/5
Let z(t) = 14*t**2 - 44*t - 6. Let l(u) be the second derivative of -7*u**4/3 + 89*u**3/6 + 11*u**2/2 + 5*u. Let b(y) = 6*l(y) + 13*z(y). Factor b(j).
2*(j - 3)*(7*j + 2)
Let c(l) be the first derivative of -l**4/8 - 43*l**3/6 - 58. Find k such that c(k) = 0.
-43, 0
Let z(q) = -q**3 + 10*q**2 + 11*q + 2. Let a be z(11). Let 22*r**a + 3*r**3 + r**3 - 38*r**2 + 12*r = 0. Calculate r.
0, 1, 3
Suppose -3*g = -15 + 9. Determine o, given that 0*o**3 - 5*o - o**4 - g*o - 5*o**3 - 9*o**2 - 2 = 0.
-2, -1
Suppose -2*l + 0*u + 10 = 5*u, -2*u - 10 = -2*l. Suppose -14*i**4 - 5*i**5 + 3*i**l + 16*i**4 = 0. What is i?
0, 1
Let m(q) be the first derivative of q**5/60 - 5*q**4/36 + q**3/3 + 26*q - 58. Let n(d) be the first derivative of m(d). Factor n(b).
b*(b - 3)*(b - 2)/3
Let c = -13280 - -13284. Factor 2/3*j**c + 122/3*j**2 - 12*j**3 + 200/3 + 120*j.
2*(j - 10)**2*(j + 1)**2/3
Suppose -2*s - d + 101 = 0, -5*s + 3*d - 111 = -7*s. Suppose 9*p + 3 - s = 0. Determine x, given that 0 + 2/3*x**3 + 0*x - 2/3*x**p + 0*x**4 + 0*x**2 = 0.
-1, 0, 1
Let -34/3*t + 0 - 2/3*t**2 = 0. What is t?
-17, 0
Let f = 92 + -90. Find v such that -6 - 69*v + 4*v**f + 22 + 49*v = 0.
1, 4
Let j(w) be the third derivative of 0 + 1/360*w**6 + 1/1008*w**8 - 1/210*w**7 + 4*w**2 + 1/60*w**5 + 0*w**3 - 1/36*w**4 + 0*w. Factor j(z).
z*(z - 2)*(z - 1)**2*(z + 1)/3
Let u = -651 - -653. Let a(s) be the third derivative of -2/5*s**5 + 2/3*s**4 - 2/105*s**7 + 7*s**u - 2/3*s**3 + 2/15*s**6 + 0 + 0*s. Let a(p) = 0. Calculate p.
1
Let n(s) be the third derivative of 0*s - 7/165*s**5 + 2/33*s**3 - 7*s**2 + 1/132*s**6 + 0 + 7/132*s**4. Suppose n(j) = 0. What is j?
-1/5, 1, 2
Let b = -52 + 44. Let g be (64/6)/b*(-1)/2. What is x in -2/3 - g*x**3 - 2*x**2 - 2*x = 0?
-1
Let a = -579/10 - -58. Let y(m) be the second derivative of 1/3*m**3 + 1/6*m**4 - m**2 - a*m**5 + 0 - 5*m. Let y(q) = 0. What is q?
-1, 1
Let v(l) = 4*l**4 - 15*l**2 + 16*l**4 - 2*l - 6*l. Let s(y) = -y. Let u(n) = 3*s(n) - v(n). Let u(b) = 0. What is b?
-1/2, 0, 1
Let i(s) be the second derivative of -s**6/15 + s**5/5 + 2*s**4/3 - 8*s**3/3 + 4*s - 1. Find p such that i(p) = 0.
-2, 0, 2
Let t = 102 + -96. Let j be 8 - -4 - 6 - t. Solve 1/4*f**2 + f + j = 0 for f.
-4, 0
Let z(u) be the third derivative of u**6/24 - u**5/12 - 281*u**2. Suppose z(t) = 0. Calculate t.
0, 1
Let i(x) be the third derivative of 1/33*x**4 + 0*x**3 + 22*x**2 + 0 + 0*x - 1/330*x**5. Solve i(h) = 0.
0, 4
Let p = -201 - -607/3. Let -1/3*g**2 - g + p = 0. What is g?
-4, 1
Factor -6*r**3 - 74*r - 16*r + 50*r**2 - 9*r**3 + 181*r**2.
-3*r*(r - 15)*(5*r - 2)
Let k(h) be the first derivative of 2 + 1/16*h**4 + 0*h + 1/12*h**3 - 1/24*h**6 + 0*h**2 - 1/20*h**5. Suppose k(i) = 0. Calculate i.
-1, 0, 1
Factor -36 + 167*s**3 - 72*s - 31*s**2 + 4*s**4 - s**2 - 159*s**3.
4*(s - 3)*(s + 1)**2*(s + 3)
Suppose 1/2*n**4 - n**2 + 0*n + 1/2 + 0*n**3 = 0. What is n?
-1, 1
Let y(b) = 142*b**2 - 26*b + 3. Let i(l) = 338 - 172 - 283*l**2 - 173 + 53*l. Let k(s) = 4*i(s) + 10*y(s). Determine j, given that k(j) = 0.
1/12
Let u(h) = -3*h**2 + 170*h - 1445. Let q(p) = -11*p**2 + 680*p - 5780. Let z(w) = 2*q(w) - 9*u(w). Let z(n) = 0. What is n?
17
Let w(j) be the first derivative of 49/3*j**3 + 28*j**2 + 16 + 16*j. Factor w(p).
(7*p + 4)**2
Let k(u) be the third derivative of u**7/490 + u**6/35 + u**5/20 - 9*u**4/14 - 18*u**3/7 + 638*u**2. What is r in k(r) = 0?
-6, -3, -1, 2
Let m = 7529/5604 - 19/1868. Factor m - 16/3*y + 16/3*y**2.
4*(2*y - 1)**2/3
Let 0 + 12/7*q - 4/7*q**2 = 0. What is q?
0, 3
Suppose 150*f - 870 = 147*f. Factor 638*p**2 - 69*p + 24*p**4 - f*p**3 + 11*p**4 - 91*p + 2*p**2.
5*p*(p - 4)**2*(7*p - 2)
Let q(r) = 11*r + 29. Let l(h) = 5*h + 14. Let v(y) = 9*l(y) - 4*q(y). Let i be v(-8). Determine d so that -i*d**3 + 0*d**3 - d**3 = 0.
0
Let c(f) be the third derivative of 22*f**2 - 3/20*f**5 - 1/20*f**6 + 0 + 0*f**4 + 1/70*f**7 + 0*f**3 + 0*f. Factor c(m).
3*m**2*(m - 3)*(m + 1)
Let j(n) be the second derivative of 2*n + 0 - 20/3*n**2 + 10/9*n**3 - 5/72*n**4. Solve j(f) = 0.
4
Let m(i) be the third derivative of -i**7/210 + i**6/45 - i**5/30 + i**3/2 - 5*i**2. Let b(g) be the first derivative of m(g). Factor b(d).
-4*d*(d - 1)**2
Let -34/5*r**3 - 2/5*r**4 + 34/5*r + 12 - 58/5*r**2 = 0. Calculate r.
-15, -2, -1, 1
Let j(h) be the third derivative of -h**7/840 + 13*h**6/480 - 11*h**5/48 + 25*h**4/32 - 16*h**2. Factor j(r).
-r*(r - 5)**2*(r - 3)/4
Let k(d) = -d**3 - 6*d**2 + 7. Let i be k(-6). Let v = i - 7. Suppose 0*o**3 + 0 - 1/4*o**5 - 1/4*o**4 + 0*o + v*o**2 = 0. What is o?
-1, 0
What is z in -4/5*z**3 - 64/5*z + 32/5*z**2 + 0 = 0?
0, 4
Let s(t) be the third derivative of -t**5/60 + 23*t**4/24 - 117*t**2. Let s(q) = 0. Calculate q.
0, 23
Let s(q) be the second derivative of -q**4/12 - 3*q**3 + 20*q**2 + 147*q. Factor s(x).
-(x - 2)*(x + 20)
Let z be (6 - (-54)/(-8))/(126/(-96)). Solve 0*f - z*f**2 + 0 - 8/7*f**3 = 0.
-1/2, 0
Let x = -3/1465 + 30777/5860. Suppose -9/2*u - 3/4*u**2 + x = 0. What is u?
-7, 1
Let -1/4*z**3 + 1/4*z + 1/4*z**2 - 1/4 = 0. Calculate z.
-1, 1
Let g(x) be the second derivative of -x**6/2700 - x**5/900 + x**4/30 - x**3/6 - 3*x**2/2 + 12*x + 2. Let i(o) be the second derivative of g(o). Factor i(u).
-2*(u - 2)*(u + 3)/15
Find o, given that 1276 - 76*o + o**2 - 1276 = 0.
0, 76
Factor -14/3*y**2 + 14/3*y**3 - 10*y + 0 - 2/3*y**4.
-2*y*(y - 5)*(y - 3)*(y + 1)/3
Let z be ((-1)/(-2))/1 + -20 + (-14722)/(-748). Solve -8/11 + 8/11*d**2 + 2/11*d**3 - z*d = 0.
-4, -1, 1
Let u(h) be the second derivative of h**7/630 - 2*h**5/15 + 29*h**4/12 - 32*h. Let r(l) be the third derivative of u(l). Solve r(n) = 0.
-2, 2
Let m = -9194/15 - -1840/3. Factor -3/5*r - 1/5*r**2 - m.
-(r + 1)*(r + 2)/5
Let p(n) be the third derivative of 0*n + 0 + 1/2*n**3 - 3/80*n**6 - 19/48*n**4 + 1/420*n**7 + 7/40*n**5 - 19*n**2. Let p(h) = 0. Calculate h.
1, 6
Let m(k) = -23*k - 1516. Let p be m(-66). Factor 0 - c - 1/4*c**p.
-c*(c + 4)/4
Let k(s) be the second derivative of s**5/40 + 19*s**4/24 + 28*s**3/3 + 48*s**2 - 103*s. Factor k(t).
(t + 3)*(t + 8)**2/2
Let f = 56 + -24. Suppose p - 7 = -2*i + 1, -4*i = -4*p + 8. Find g, given that -4*g**2 - 14*g**2 - 6 - i*g + 6 - f*g**4 - 48*g**3 = 0.
-1, -1/4, 0
Let h = -29197/5 + 263053/45. Let -2/9*v**2 - h*v - 392/9 = 0. Calculate v.
-14
Let y(f) be the first derivative of -3/16*f**2 - 6 - 1/4*f - 1/24*f**3. Factor y(g).
-(g + 1)*(g + 2)/8
Let c(k) = -4*k**2 - 28*k - 4. Let o be c(-5). Let z be (-6)/(-8) - (243/o + -8). Factor -14/3*f**4 - 22/3*f**z - 32/3*f**3 - 4/3*f + 0.
-2*f*(f + 1)**2*(7*f + 2)/3
Let y = 978/5 - 194. Let c be (-112)/(-42)*6*1/10. Factor -2/5*x**4 - y*x + 4/5*x**3 - c + 6/5*x**2.
-2*(x - 2)**2*(x + 1)**2/5
Find y such that -4/3 + 2/3*y**2 + 2/3*y = 0.
-2, 1
Let f be 3*2/(-10) - (-152)/120. Let a be 4/6*(3 - 0). Factor f*k**3 - 1/3*k**4 + 0 + 1/3*k**a - 2/3*k.
-k*(k - 2)*(k - 1)*(k + 1)/3
Let x(z) = z**3 + 2*z**2 + 5*z - 4. Let n(v) = -v**3 - v**2 - v + 1. Let c(p) = 2*n(p) + x(p). Let g(w) = w - 1. Let h(k) = c(k) - 2*g(k). Factor h(m).
-m*(m - 1)*(m + 1)
Let q(u) = -20*u**2 + 11*u - 3. Let l(s) = 7*s**2 - 4*s + 1. Suppose 68 = 11*z - 7*z. Let n(x) = z*l(x) + 6*q(x). Factor n(g).
-(g + 1)**2
Let w(l) = -l**2 - 112*l + 467. Let m be w(4). Factor m*y**3 + 0 + 0*y + 1/5*y**5 + 7/5*y**4