b(a) be the second derivative of -a**8/1176 - a**7/735 + a**6/210 + 5*a**2 + 7*a. Let c(w) be the first derivative of b(w). Factor c(h).
-2*h**3*(h - 1)*(h + 2)/7
Let g be -2 + ((-8)/(-6))/((-8)/(-36)). Factor l**g - 4*l**3 + 9*l - 1 - 14*l + 2*l**3 + 7*l.
(l - 1)**3*(l + 1)
Let o(y) be the third derivative of 6*y**2 + 0*y + 1/70*y**5 + 0 + 1/42*y**4 + 0*y**3. Suppose o(g) = 0. Calculate g.
-2/3, 0
What is g in -8083*g - 4*g**2 + 8077*g - g**2 - g**3 = 0?
-3, -2, 0
Let s(i) be the second derivative of -i**6/9 + 11*i**5/15 - 11*i**4/6 + 20*i**3/9 - 4*i**2/3 - 5*i + 5. Determine t, given that s(t) = 0.
2/5, 1, 2
Let b(c) = -3*c**3 - c**2 + c + 1. Let r be b(-1). Suppose 4*j - r*j = 4. Determine s, given that 4*s**2 - 3*s**5 + 0*s**5 + 6*s**4 - 10*s**j + 3*s = 0.
-1, 0, 1
Let n be 2/(-2) - (88/(-11) - -5). Suppose m - 5*z - 17 = -0*m, 15 = -5*z. Let -5 - 4*h**3 + 3 + 3*h**2 + 2*h**5 + 2*h + h**m - n*h**4 = 0. What is h?
-1, 1
Let p = -817 + 821. Let f(m) be the second derivative of 1/39*m**3 - 1/78*m**p + 9*m + 0 + 2/13*m**2. Factor f(c).
-2*(c - 2)*(c + 1)/13
Let l(q) be the first derivative of 2*q**5/5 - q**4/2 - 2*q**3/3 + q**2 + 482. Factor l(j).
2*j*(j - 1)**2*(j + 1)
Let b(n) = -n**2 + 12*n - 24. Let i be b(9). Factor -6*x**4 + x**2 + 2*x**5 - 2*x**4 + 10*x**i + x**2 - 6*x**2.
2*x**2*(x - 2)*(x - 1)**2
Factor 289/4 - 17/2*s + 1/4*s**2.
(s - 17)**2/4
Let c(x) be the first derivative of x**8/8400 + x**7/1050 + x**6/360 + x**5/300 - x**3 - 10. Let g(k) be the third derivative of c(k). Factor g(j).
j*(j + 1)**2*(j + 2)/5
Let q(g) be the third derivative of 0 + 1/30*g**5 + 0*g + 64/3*g**3 - 4/3*g**4 + 27*g**2. What is x in q(x) = 0?
8
Let b = 6 + -4. Suppose 2*w**2 - 4 + 0*w**2 + b = 0. What is w?
-1, 1
Let r = 1/93553 + 21236456/7016475. Let p = r - 9/25. Factor 4*i**3 + 1/3*i + 0 - 2*i**2 - p*i**4.
-i*(2*i - 1)**3/3
Let w = 735 - 729. Let h(l) be the second derivative of 0 - 1/30*l**5 + 0*l**3 + 1/45*l**w - 1/9*l**4 + 0*l**2 + 3*l. Factor h(m).
2*m**2*(m - 2)*(m + 1)/3
Let q(d) be the first derivative of -d**3 - 30*d**2 + 58. Solve q(v) = 0 for v.
-20, 0
Let o(v) be the second derivative of -1/18*v**3 + 1/3*v**2 + 0 - 11*v + 1/60*v**5 - 1/18*v**4. Factor o(c).
(c - 2)*(c - 1)*(c + 1)/3
Find y, given that y**2 - y**4 + 1/4*y**5 + 0 + 1/2*y**3 - 3/4*y = 0.
-1, 0, 1, 3
Suppose -y - 4*j + j = 21, 4*j = -16. Let o = -7 - y. Factor o*z**2 - 2 - 3*z**2 + 3.
-(z - 1)*(z + 1)
Solve -1/5*p**2 - p + 6/5 = 0.
-6, 1
Let b(r) = -2*r - 4. Let x be b(-3). Let v(n) be the first derivative of -4/15*n**x - 2/45*n**3 + 1 - 2/5*n. Determine w so that v(w) = 0.
-3, -1
Let h(g) = -g**4 + 4*g**3 - 5*g**2 + 2. Let i(f) = -2*f**4 + 6*f**3 - 6*f**2 - f + 3. Let j(n) = 3*h(n) - 2*i(n). Factor j(x).
x*(x - 1)**2*(x + 2)
Let k be (-126)/(-245) + 10/35. Let y(c) be the second derivative of -5*c + 6/5*c**2 + 1/4*c**4 + k*c**3 + 0 + 3/100*c**5. Find t, given that y(t) = 0.
-2, -1
Let l(f) = 20*f**5 - 8*f**4 - 8*f**2 - 20*f - 16. Let s(y) = y**5 - y**2 - y - 1. Suppose -103*m = -99*m - 4. Let k(o) = m*l(o) - 16*s(o). Factor k(p).
4*p*(p - 1)**3*(p + 1)
Let x = -16 + 35. Factor 6*o**2 + o**3 - 3*o**5 - x*o + 10*o + 11*o**3 - 6.
-3*(o - 2)*(o - 1)*(o + 1)**3
Let i be -3*(10/(-15))/2. Let p(l) = 12*l**3 + 8*l**2 + 20*l - 24. Let c(b) = b**3 + b - 1. Let v(x) = i*p(x) - 16*c(x). Factor v(k).
-4*(k - 2)*(k - 1)*(k + 1)
Let k(l) be the first derivative of 2/5*l**3 + 0*l**2 + 0*l - 3/20*l**4 + 6. Determine f so that k(f) = 0.
0, 2
Determine i, given that 12*i**3 - 3/2*i**4 + 0 + 0*i + 0*i**2 = 0.
0, 8
Let q(k) = -29*k + 148. Let s be q(5). Let d(m) be the first derivative of 2 - 2/25*m**5 + 0*m + 2/3*m**s + 2/5*m**2 + 3/10*m**4 - 1/15*m**6. Factor d(z).
-2*z*(z - 2)*(z + 1)**3/5
Let l be (3 + (-50)/15)*-3. Let p be (-39)/(-130)*5*l/6. Factor -1/2*t - p*t**2 + 0.
-t*(t + 2)/4
Let i(c) = 2*c**2 + 31*c - 14. Let a be i(-16). Let t(n) be the second derivative of 0 + 4*n**2 - a*n**3 + 1/3*n**4 + 3*n. Factor t(z).
4*(z - 2)*(z - 1)
Suppose 4/11*c**2 - 2/11*c**5 - 4/11 - 6/11*c + 8/11*c**3 + 0*c**4 = 0. Calculate c.
-1, 1, 2
Let g be -10 - (-1)/18*186. Factor -1/3 + g*m**2 - 1/3*m**3 + 1/3*m.
-(m - 1)**2*(m + 1)/3
Suppose 9 = -0*g + 3*g. Suppose -5*q + n + 20 = 0, 0 = q + g*n - 4 - 0. Factor -4*o**2 + 2*o**2 + 2 - q*o + 4*o**2.
2*(o - 1)**2
Let f(n) be the third derivative of n**7/525 - 7*n**6/300 + 68*n**2. Factor f(x).
2*x**3*(x - 7)/5
Factor -2*c - c - 4*c**2 - 13*c - 12.
-4*(c + 1)*(c + 3)
Let l(d) be the third derivative of -d**6/40 + 21*d**5/10 - 39*d**4/2 + 76*d**3 - 400*d**2. Suppose l(n) = 0. What is n?
2, 38
Let n be ((-4)/(-4)*4 - 4) + 32. Factor 2*c**3 + n*c + 2*c**3 - 16 + 1669*c**2 - 1689*c**2.
4*(c - 2)**2*(c - 1)
Let q = 3163/734 - -70/367. Factor q*x - x**2 - 2.
-(x - 4)*(2*x - 1)/2
What is h in 10/7*h**3 + 200/7 - 170/7*h + 2/7*h**4 - 6*h**2 = 0?
-5, 1, 4
Let 82*a - 75*a**2 - 141*a - 205*a - 3*a**3 - 252 = 0. What is a?
-21, -2
Let d(w) be the third derivative of w**6/120 - 3*w**5/20 + 5*w**4/8 + 25*w**3/6 - 2*w**2 + 41. What is n in d(n) = 0?
-1, 5
Let a be (-171)/33 + (-8)/(-44). Let y(h) = -4*h**3 + 12*h**2 + 16*h. Let d(s) = -3*s**3 + 8*s**2 + 11*s. Let p(l) = a*y(l) + 8*d(l). Factor p(x).
-4*x*(x - 2)*(x + 1)
Let r(m) be the third derivative of 1/300*m**6 + 4/15*m**3 + 0 - 1/150*m**5 + 0*m - 3*m**2 - 1/15*m**4. Solve r(w) = 0 for w.
-2, 1, 2
Suppose 30*t = 180 - 120. Suppose 2/5*j**3 - 6/5 - 2/5*j + 6/5*j**t = 0. Calculate j.
-3, -1, 1
Let j be (6/63)/(69 - 78 - 1541/(-171)). Determine z so that -15/7*z - 69/7*z**2 + 9/7 - 12/7*z**4 - j*z**3 = 0.
-3, -1, 1/4
Solve 254/13*f**3 - 114/13*f**4 + 18/13*f**5 - 24/13 + 128/13*f - 262/13*f**2 = 0.
2/3, 1, 3
Let c(o) = -o**4 - 3*o**2 + 1. Let w(b) = -2*b**4 + 20*b**3 + 90*b**2 - 20*b - 97. Let z(g) = -15*c(g) + 5*w(g). Factor z(s).
5*(s - 1)*(s + 1)*(s + 10)**2
Let h(a) = 8*a**2 - 287*a + 4208. Let s(f) = -7*f**2 + 288*f - 4207. Let m(t) = -2*h(t) - 3*s(t). Find q, given that m(q) = 0.
29
Suppose -3*p - 4*p = -14. Factor -3*j**2 + p + 10 - 48*j + 48*j.
-3*(j - 2)*(j + 2)
Let c(p) be the first derivative of 25*p**4/4 - 230*p**3 + 510*p**2 + 520*p - 552. Factor c(q).
5*(q - 26)*(q - 2)*(5*q + 2)
Let x = -24808 - -24943. Find i such that -153*i + x - 3/5*i**3 + 93/5*i**2 = 0.
1, 15
Let w(p) be the first derivative of p**3/3 + p**2/2 + 9*p + 1. Let t(v) = v + 1. Let y(i) = 35*t(i) + 5*w(i). Factor y(o).
5*(o + 4)**2
Suppose 2*h = h - o - 3, 0 = -o. Let u be 4/8*(1 - h). Suppose 0*v**4 + 4/3*v**5 + 0*v + 0 - 4*v**3 + 8/3*v**u = 0. What is v?
-2, 0, 1
Let d(t) be the third derivative of 4/315*t**7 - 3/8*t**4 + 1/10*t**5 + 11*t**2 + 7/90*t**6 - 3/2*t**3 + 0 + 0*t. Find b, given that d(b) = 0.
-3/2, 1
Let 10*k**2 - 6316*k - 16*k**3 - 6*k**4 + 4*k**5 + 8 + 0*k**4 + 6340*k = 0. Calculate k.
-1, -1/2, 2
Let h(i) = -27*i - 49. Let a be h(-2). Factor 1/4*z**4 + 0*z**2 + 3/8*z**3 + 0*z - 1/8*z**a + 0.
-z**3*(z - 3)*(z + 1)/8
Let x(g) = -9*g**3 + 15*g**2 - 6*g + 4. Suppose 0 = -5*t + 35 - 15. Let b(w) = -17*w**3 + 30*w**2 - 13*w + 7. Let y(d) = t*b(d) - 7*x(d). What is f in y(f) = 0?
0, 1, 2
Let d(g) be the second derivative of -g**4/24 - 5*g**3/6 + 6*g**2 + 9*g. Find h, given that d(h) = 0.
-12, 2
Determine g, given that 2/9*g**5 - 68/9*g**2 - 10/9 + 14/3*g - 2*g**4 + 52/9*g**3 = 0.
1, 5
Let j(o) be the first derivative of 2*o**2 + 6/13*o + 48/13*o**3 + 27/13*o**4 - 8 - 54/65*o**5. Factor j(i).
-2*(i - 3)*(3*i + 1)**3/13
Let g = -33 + 33. Suppose g = -2*n - 0*n - 2*q, q = 0. Suppose n - 1/2*o**4 + 0*o + 3/2*o**3 - o**2 = 0. Calculate o.
0, 1, 2
Let z(s) be the first derivative of s**7/70 + s**6/10 + 3*s**5/20 - 19*s**2/2 + 2. Let f(g) be the second derivative of z(g). Factor f(x).
3*x**2*(x + 1)*(x + 3)
Let g(s) be the second derivative of -s**4/4 + 16*s**3 - 217*s - 1. Find p such that g(p) = 0.
0, 32
Let t(r) be the second derivative of r**5/60 - r**4/24 + 5*r**2 - 15*r. Let y(b) be the first derivative of t(b). Factor y(d).
d*(d - 1)
Solve 2/3*a**4 + 0 + 5/6*a**3 + 1/3*a**2 + 0*a + 1/6*a**5 = 0 for a.
-2, -1, 0
Factor -45*s**2 + 5218*s - 41*s**3 - 5238*s - 5*s**4 + 11*s**3.
-5*s*(s + 1)**2*(s + 4)
Suppose -12*f + 4 = -14*f. Let d be ((-1)/f*(-2 + 0))/(-2). Factor -i + 0 - d*i**2.
-i*(i + 2)/2
Let b(o) be the second derivative of 16/