ctor g(q).
2*q*(q + 2)*(9*q + 2)/19
Let r(c) be the second derivative of -c**4/132 + c**3/6 - 9*c**2/11 + 3*c - 15. Solve r(p) = 0.
2, 9
What is d in 220 + 218*d + 5*d**2 - 177*d + 79*d = 0?
-22, -2
Let g(c) be the second derivative of 1/5*c**2 + 1/10*c**4 + 1/5*c**3 + 0 + 1/50*c**5 + 8*c. Factor g(u).
2*(u + 1)**3/5
Let d = -44125/8 - -5516. Find o, given that 3/4*o - 3/8 + d*o**4 - 3/4*o**3 + 0*o**2 = 0.
-1, 1
Solve -982*v**4 - 2*v**2 - 3*v + 493*v**4 + 1 + 4*v**3 + 1 + 489*v**4 - v**5 = 0.
-2, -1, 1
Let t(f) = -f - 23. Let l be t(-25). Factor -g**l - 40*g**3 + 40*g**3 + 4*g**2 - 3*g**4.
-3*g**2*(g - 1)*(g + 1)
Let l be (-46)/184 + (-1)/(4/195). Let k be (-4)/6 + 4*l/(-168). Find m such that 0 - m**2 - k*m - 1/2*m**3 = 0.
-1, 0
Let p(y) = -5*y**2 - 435*y - 4332. Let i(o) = 3*o**2 + 289*o + 2888. Let m(u) = -7*i(u) - 5*p(u). Suppose m(q) = 0. What is q?
-19
Suppose -g + 6*g = -2*o + 19, o - 5 = -g. Factor -8*j + 3*j**2 - 3*j**4 - 5*j + 9*j**g + 4*j.
-3*j*(j - 3)*(j - 1)*(j + 1)
Let z(o) be the first derivative of 22 + 3/8*o**3 - 3*o + 15/8*o**2. Factor z(f).
3*(f + 4)*(3*f - 2)/8
Let n = -163 - -167. Suppose -4*w + 5*w = 2*o, 5*w = n*o. Factor 1/4*s**5 - 1/4*s + 0 - 1/2*s**4 + 1/2*s**2 + o*s**3.
s*(s - 1)**3*(s + 1)/4
Let c(k) be the first derivative of -3/7*k + 9/14*k**2 + 4 + 4/7*k**3. Solve c(x) = 0 for x.
-1, 1/4
Suppose 3*k + 2*b = 4, -k - 3 - 7 = -5*b. Let u(j) be the second derivative of j**2 + 3*j + k*j**3 - 1/6*j**4 + 0. Factor u(s).
-2*(s - 1)*(s + 1)
Let z(q) be the first derivative of -1/18*q**6 + 7/9*q**3 + 1/12*q**4 - 4/3*q - 1/5*q**5 - 9 + 0*q**2. Find j such that z(j) = 0.
-2, -1, 1
Factor 162/7*a + 82/7 - 4/7*a**2.
-2*(a - 41)*(2*a + 1)/7
Let v(a) be the first derivative of -a**5/150 - 2*a**4/15 - 16*a**3/15 + 4*a**2 + 15. Let r(x) be the second derivative of v(x). Let r(c) = 0. Calculate c.
-4
Let l(n) be the second derivative of -n**4/21 - n**3/21 + n**2/7 + 3*n + 1. Factor l(c).
-2*(c + 1)*(2*c - 1)/7
Let o be (9/(-27))/(1/(-6)). Let d be (-6)/6*(-8)/o. Determine y, given that 110/7*y**3 + 8/7*y**2 - 116/7*y**d + 0 - 8/7*y - 30*y**5 = 0.
-1, -2/7, 0, 1/3, 2/5
Suppose -g - 4 - 9 = 0. Let u = g - -42. Factor u + 2*q**2 - 29.
2*q**2
Factor 36*l**4 - 40*l - 19*l**2 + 9*l**2 + 264*l**3 - 22*l**2 - 4 - 224*l**3.
4*(l - 1)*(l + 1)**2*(9*l + 1)
Suppose -5*p = m - 12, 5*p = -117 + 127. Solve -3/4*z + 1/4*z**m + 0 = 0 for z.
0, 3
Let j(i) = 25 + 5*i**2 - 6*i**2 - i**3 + i - 24. Let c be j(-2). Solve 1/4*x**4 - x**3 - 1/2*x**2 + 9/4 + c*x = 0 for x.
-1, 3
Let t be (48/(-84))/((-4)/14). Let v be (-42)/(-14) + t/((-16)/22). What is p in 0 + 0*p**2 - v*p**4 + 3/4*p**3 - p = 0?
-1, 0, 2
Let o(j) be the first derivative of -j**5/2 - 5*j**4/4 - 5*j**3/6 + 6. Suppose o(f) = 0. What is f?
-1, 0
Let r(i) be the third derivative of -i**7/1050 - 11*i**6/150 - 47*i**5/25 - 44*i**4/3 - 160*i**3/3 + 13*i**2 - 7*i. Determine u, given that r(u) = 0.
-20, -2
Find d, given that -169*d - 5*d**3 + 34*d + 90 + 35*d**2 + 9*d**2 + 6*d**2 = 0.
1, 3, 6
Let l(g) = g**3 + 3*g**2 - 3*g + 5. Let j(t) = -t**3 - 3*t**2 + 4*t - 6. Let p(i) = -4*i + 26. Let u be p(5). Let h(m) = u*l(m) + 5*j(m). Factor h(x).
x*(x + 1)*(x + 2)
Let n(i) be the third derivative of 0*i**5 - 1/350*i**7 + 0 + 1/1680*i**8 + 0*i + 0*i**3 - 13*i**2 + 0*i**4 + 1/300*i**6. Factor n(h).
h**3*(h - 2)*(h - 1)/5
Let 6/5*x + 24/5 - 3/5*x**2 = 0. What is x?
-2, 4
Let o = -219/20 - -11. Let g = 77/60 + o. Factor -4/3 - g*y - 1/3*y**2.
-(y + 2)**2/3
Let p(b) be the second derivative of 5*b**4/12 - 20*b**3/3 - 50*b**2 - 25*b - 1. Factor p(v).
5*(v - 10)*(v + 2)
Let h be 5 + (3 - 0)*-1. Let -2*w**2 - 3*w**2 + 6*w + 2*w**h - 3*w = 0. Calculate w.
0, 1
Suppose 3*c + c + 7 = -o, -5*o = 4*c - 13. Let k be ((-8)/(-60))/((-2)/c). Factor k*x**3 + 1/5*x**2 + 0*x + 0.
x**2*(x + 1)/5
Let t be (-726)/5324*20/(-3). Let -4/11*z - 8/11*z**3 + t*z**2 + 0 + 2/11*z**4 = 0. Calculate z.
0, 1, 2
Let x(u) be the third derivative of -u**6/600 + u**5/75 + u**4/120 - 2*u**3/15 + 3*u**2 + 3. Find s such that x(s) = 0.
-1, 1, 4
Let d(j) = -8*j**3 - 185*j**2 + 1425*j + 5625. Let p(g) = -3*g**3 - 63*g**2 + 475*g + 1875. Let x(y) = -4*d(y) + 11*p(y). Factor x(q).
-(q - 25)**2*(q + 3)
Factor 2/5*d**3 - 10*d**2 + 0 + 48/5*d.
2*d*(d - 24)*(d - 1)/5
Let q be (2/9)/(5 - (-91)/(-21)). Factor -q*a**2 - 2/3 - a.
-(a + 1)*(a + 2)/3
Let n(b) be the second derivative of -b**5/70 + 2*b**4/21 - b**3/7 + 91*b. Factor n(p).
-2*p*(p - 3)*(p - 1)/7
Let k(m) be the second derivative of -m**5/10 - 13*m**4/3 - 169*m**3/3 + 21*m + 5. Factor k(v).
-2*v*(v + 13)**2
Let f(o) be the first derivative of -3*o**4/8 - 2*o**3 + 3*o**2 + 24*o + 545. Factor f(l).
-3*(l - 2)*(l + 2)*(l + 4)/2
Let j = 5 - 4. Let o(p) = -p - 1. Let r(w) = -5*w**4 + 10*w**2 + 2*w - 3. Let m(d) = j*r(d) + 2*o(d). Factor m(h).
-5*(h - 1)**2*(h + 1)**2
Let s(v) = 2*v**3 - v**2 + 11. Let q be s(0). Let u be (3/20)/((-172)/16 + q). Factor -u*z**2 - 3/5*z - 1/5 - 1/5*z**3.
-(z + 1)**3/5
Let b(d) be the first derivative of -5*d**3 - 5/4*d**4 + 3*d**5 + 0*d**2 + 0*d + 7 + 5/6*d**6. Find o such that b(o) = 0.
-3, -1, 0, 1
Factor -3*k + 1/3*k**3 - 14/3 + 2*k**2.
(k - 2)*(k + 1)*(k + 7)/3
Let g be 8/18*165/(-22)*(-30)/40. Suppose -17/2*m**3 + 7*m**2 + 4*m + 0 - g*m**4 = 0. Calculate m.
-4, -2/5, 0, 1
Let j = -15264/13 - -76346/65. Solve -1/5*f**3 + 1/5*f + 2/5*f**2 - j = 0.
-1, 1, 2
Let q(y) be the second derivative of 0 - 1/4*y**5 + 5/42*y**7 + 0*y**4 + 0*y**2 + 0*y**3 + 0*y**6 - 3*y. Factor q(w).
5*w**3*(w - 1)*(w + 1)
Let q be (8/6)/(19/285). Let l = q + -15. Determine g so that l*g**2 + 5*g + 18 - 18 = 0.
-1, 0
Let h(n) = -n + 14. Let w be h(7). Determine q so that -w*q**5 - 13*q**5 - 8*q**2 + 8*q**4 + 4*q**3 + 22*q**5 - 6*q + 0*q**4 = 0.
-3, -1, 0, 1
Suppose -28 = 2*j - 4*f, 0*j = -3*j + f - 32. Let q be 20/j - (-2 + -2). Factor -2/9*v**q + 0 + 0*v.
-2*v**2/9
Let h = 9 + -13. Let s be (78/65)/(h/(-10)). Factor 2 - 23*j**2 + 12*j**2 + s*j + 2*j + 2*j**3 + 2*j**3.
(j - 2)*(j - 1)*(4*j + 1)
Let t(p) = 21*p - 84. Let v be t(4). Let i(n) be the third derivative of v*n**3 + 1/350*n**7 + 0*n**5 + 0*n + 1/200*n**6 + 0 - 4*n**2 + 0*n**4. Factor i(c).
3*c**3*(c + 1)/5
Let f(d) be the first derivative of 1/10*d**2 - 10 - 1/20*d**4 + 1/5*d**3 - 3/5*d. Solve f(y) = 0 for y.
-1, 1, 3
Factor 75/2 + 1/6*z**3 + 19/6*z**2 - 47/2*z.
(z - 3)**2*(z + 25)/6
Let i(v) be the second derivative of -v**7/2100 - v**6/225 + v**5/100 - 11*v**4/12 + 2*v. Let o(f) be the third derivative of i(f). What is h in o(h) = 0?
-3, 1/3
Let m(s) be the second derivative of s**4/6 - 19*s**3/3 - 20*s**2 - 12*s - 3. Factor m(v).
2*(v - 20)*(v + 1)
Let z(c) be the first derivative of 0*c + 11 + 2/27*c**3 + 0*c**2. Factor z(m).
2*m**2/9
Suppose 50*h = 5*t + 49*h - 9, 21 = -3*t + 5*h. Suppose -4 = -5*y + 3*y. What is b in -b + 1/2 + b**t - 1/2*b**y = 0?
-1, 1/2, 1
Factor -136*n**3 - 3491*n**2 + 4*n**5 - 88*n**3 + 4*n**4 + 4067*n**2.
4*n**2*(n - 4)**2*(n + 9)
Let x(j) be the second derivative of -3*j**5/80 - 7*j**4/8 - 4*j**3 + 48*j**2 + 35*j + 1. Let x(w) = 0. Calculate w.
-8, 2
Factor 32*y - 3 - y**4 - 6*y**3 - 5*y - 21*y + 4*y**4.
3*(y - 1)**3*(y + 1)
Let z(t) = 3*t**2 + 3*t + 1. Let h be z(-5). Let k = -36 + h. Factor -12*u + 27*u**3 + 63*u**2 - 162*u**3 + 75*u**4 - 16*u**2 + k*u**2.
3*u*(u - 1)*(5*u - 2)**2
Suppose q - 4*m + 7 = -4, 5*q - m = 2. Let u be ((-5)/(-1) - 2) + q. Factor 0*z + 0 + 2/7*z**2 + 4/7*z**3 + 2/7*z**u.
2*z**2*(z + 1)**2/7
Let l(t) = -6*t - 3. Let r = -10 - -13. Let y(n) = -n**2 + r + 1 - 3 + 0*n**2. Let b(p) = l(p) + 3*y(p). Factor b(j).
-3*j*(j + 2)
Let t(m) be the second derivative of m**4/60 + m**3/30 + 6*m - 3. Factor t(a).
a*(a + 1)/5
Let u(w) be the second derivative of -w**8/1680 - w**7/70 - 3*w**6/20 - 9*w**5/10 + 23*w**4/6 + 7*w - 2. Let h(m) be the third derivative of u(m). Factor h(n).
-4*(n + 3)**3
Let l(k) = 4*k + 46. Let t(o) = 3*o - 72. Let d be t(21). Let x be l(d). Factor 5/3*c**4 - 20/3*c**3 - 20/3*c + x*c**2 + 5/3.
5*(c - 1)**4/3
Let i(h) be the first derivative of 3*h**5/5 + 9*h**4/4 - 6*h**2 - 494. Find o, given that i(o) = 0.
-2, 0, 1
Let z be 104/39*(-3)/(-2). Suppose 0*q - z*q = 2*q. Determine t so that -2/7*t**2 + q + 0*t = 0.
0
Let b(h) = -2*h**2 + 1. Let i(u) = 508*u - 510. Let m