that f(v) = 0.
-3, 0
Let g(f) be the first derivative of 3/10*f**2 - 1/10*f**4 - 1/5*f - 2/15*f**3 + 10 + 3/25*f**5 - 1/30*f**6. Factor g(z).
-(z - 1)**4*(z + 1)/5
Let q(j) be the second derivative of -5*j**7/42 - 4*j**6/3 - 21*j**5/4 - 15*j**4/2 + 45*j. Factor q(i).
-5*i**2*(i + 2)*(i + 3)**2
Factor -9 - 3*c**5 + 75*c + 7 + 50*c**3 - 18 + 838*c**2 - 2*c**5 - 938*c**2.
-5*(c - 1)**4*(c + 4)
Suppose 32/5*i - 64/5*i**2 + 1/5*i**5 - 11/5*i**4 + 0 + 42/5*i**3 = 0. What is i?
0, 1, 2, 4
Let u(a) be the second derivative of 0*a**4 + 0*a**5 - 1/10*a**6 + 0*a**3 - 14*a + 0 + 0*a**2 - 1/14*a**7. Factor u(s).
-3*s**4*(s + 1)
Let h be (0 + -1)*(10 + (-31)/3). Factor 2/3 - 1/3*g**2 - h*g.
-(g - 1)*(g + 2)/3
Suppose -2*v + 6*v = 16. Suppose -6*l - 33 = -153. Determine k, given that 20 + v*k**2 + 8*k**2 - l - 12*k - 3*k**3 = 0.
0, 2
Suppose -51*d = -50*d - 66. Let m = d - 131/2. Factor 0*r**2 + 0 + 1/2*r**3 - m*r.
r*(r - 1)*(r + 1)/2
Let g(p) be the second derivative of -2*p**7/21 - 2*p**6/5 - 2*p**5/5 - 136*p. Determine c so that g(c) = 0.
-2, -1, 0
Let d(x) = -x - 6 + 3 + 3. Let l be d(-2). Suppose 0*p**3 - p**4 - p**2 - l*p**2 + 3*p**3 - p - 6*p**3 = 0. Calculate p.
-1, 0
Let a(o) be the second derivative of 0 + 1/114*o**4 + 25/19*o**2 + 10/57*o**3 - 2*o. Factor a(r).
2*(r + 5)**2/19
Let s(h) be the second derivative of -h**5/8 + 5*h**4/8 + 10*h**3 - 100*h**2 - 6*h - 3. Factor s(a).
-5*(a - 4)**2*(a + 5)/2
Let l = 134 - 132. Let h(c) be the second derivative of 0 + 1/9*c**l - 8*c + 1/54*c**4 - 2/27*c**3. Factor h(x).
2*(x - 1)**2/9
Let k(i) be the second derivative of i**4/3 - 22*i**3/3 - 204*i**2 - 397*i. Solve k(f) = 0.
-6, 17
Let v(b) = 6*b**4 - 6*b**3 - 38*b**2 - 98*b - 24. Let n(p) = 2*p**4 - 2*p**3 - 13*p**2 - 32*p - 8. Let m(o) = -16*n(o) + 5*v(o). Find x, given that m(x) = 0.
-1, 4
Let r(q) be the second derivative of q**4/60 + 7*q**3/30 - 4*q**2/5 + 7*q + 3. Find f such that r(f) = 0.
-8, 1
Let n be (-6)/(-9) + 32/240. Let j(m) be the first derivative of n*m + 3/5*m**2 - 5 - 14/15*m**3 + 2/5*m**5 - 3/10*m**4. Solve j(c) = 0 for c.
-1, -2/5, 1
Factor 8*k**4 + 67*k - 21*k**4 - k**5 + 13*k + 92*k**3 - 156*k**2 - 2*k**4.
-k*(k - 2)**2*(k - 1)*(k + 20)
Suppose -6*h**4 - 2/3*h**5 - 46/3*h**3 + 16*h - 14/3*h**2 + 32/3 = 0. Calculate h.
-4, -1, 1
Let j = 315/13 - 9557/403. Let g = j - 114/341. Solve -2/11*p**2 + g*p**4 - 2/11*p + 0 + 2/11*p**3 = 0 for p.
-1, 0, 1
Let w(i) be the third derivative of 1/30*i**5 + 0 + 5/8*i**4 - 42*i**2 - 6*i**3 + 0*i - 1/120*i**6. Factor w(o).
-(o - 3)**2*(o + 4)
Let b = -11652 + 11655. Determine l, given that -1/3*l**4 + 0 + 0*l + 0*l**b + 4/3*l**2 = 0.
-2, 0, 2
Let r(b) be the second derivative of -17*b**5/4 - 55*b**4/2 - 50*b**3 + 20*b**2 + 270*b + 1. Let r(s) = 0. What is s?
-2, 2/17
Factor -11/2*j - 17/2*j**3 + 21/2*j**2 + 1 + 5/2*j**4.
(j - 1)**3*(5*j - 2)/2
Factor 15*l**3 + 20 - 222*l**2 + 85*l - 206*l**2 - 264*l**2 + 772*l**2.
5*(l + 1)*(l + 4)*(3*l + 1)
Find m such that 0 + 0*m - 1/3*m**4 + m**2 - 2/3*m**3 = 0.
-3, 0, 1
Let k(j) be the third derivative of 0 - 3*j**2 - 1/60*j**5 - 1/240*j**6 + 0*j - 1/48*j**4 + 0*j**3. Factor k(l).
-l*(l + 1)**2/2
Factor -2/15*x**2 - 22/15*x - 12/5.
-2*(x + 2)*(x + 9)/15
Let l(u) = -u**3 - 24*u**2 - 22*u + 27. Let o be l(-23). Suppose -k - 20 = -6*k. Let 8*a**3 - 3*a**o + 2*a**4 - a**2 + 4*a - a**k - 9*a**2 = 0. Calculate a.
0, 1, 2
Let g = 1274/213 - 330/71. What is t in -2/9*t**2 - g*t - 2 = 0?
-3
Find s, given that 14/13*s**2 + 0 + 2/13*s**5 + 4/13*s + 18/13*s**3 + 10/13*s**4 = 0.
-2, -1, 0
What is o in 26*o**2 - 93*o**3 + 2*o - 22*o**2 + 95*o**3 = 0?
-1, 0
Let b(i) = i**3 - 22*i**2 - 38*i + 839. Let s be b(22). Factor 1/2*z**4 - 1/3*z**2 + 0 - 5/6*z**s + 0*z.
z**2*(z - 2)*(3*z + 1)/6
Let j = 4 + -5. Let k be j/(-3)*(6 - 0). Determine s, given that k - s**3 - 2 = 0.
0
Let q = -316 + 319. Let o(y) be the third derivative of 7/8*y**4 + 0 + 0*y + 2/5*y**5 + 4*y**2 + y**q + 3/40*y**6. Factor o(f).
3*(f + 1)**2*(3*f + 2)
Let l(j) be the first derivative of 5/12*j**3 - 14 - 3/8*j**2 - 1/20*j**5 - 1/16*j**4 + 0*j. Determine n so that l(n) = 0.
-3, 0, 1
Let j be 4/14 - (-380)/140. Let q(o) be the first derivative of -3/4*o**4 - 3 + 0*o**2 + o**j + 1/2*o**6 - 3/5*o**5 + 0*o. Factor q(n).
3*n**2*(n - 1)**2*(n + 1)
Determine d so that -3*d**3 + 41*d**2 + 14*d**2 - 13*d**2 - 3*d - 69*d = 0.
0, 2, 12
Let f(n) = 15*n**3 + 23*n**2 + 12*n - 26. Let a(q) = q**3 + q**2 - 2. Let d(u) = -26*a(u) + 2*f(u). Factor d(t).
4*t*(t + 2)*(t + 3)
Let w(o) be the first derivative of -20/3*o**3 + 5/6*o**6 + 13 + 0*o + 5/2*o**2 - 4*o**5 + 15/2*o**4. Factor w(k).
5*k*(k - 1)**4
Let c = 930 + -930. Let f(p) be the second derivative of -1/48*p**4 + c - 2*p**2 - 1/3*p**3 + 8*p. Factor f(l).
-(l + 4)**2/4
Factor -16*o**4 + 2035*o**2 - o**5 + 3*o**5 - 180*o**3 + 1458*o - 739*o**2.
2*o*(o - 9)**2*(o + 1)*(o + 9)
Suppose -k = -128 + 126. Let y(t) be the third derivative of 1/300*t**5 + 0*t**3 + 0*t + 0*t**4 + 0 + t**k. Solve y(h) = 0.
0
Let q(r) be the second derivative of r**6/6 + 21*r**5/4 + 655*r**4/12 + 285*r**3/2 - 810*r**2 + 3*r + 1. Factor q(k).
5*(k - 1)*(k + 4)*(k + 9)**2
Suppose -3*m = 2*l - 19, -13 - 7 = -5*l - 2*m. Suppose -4*s + 12 = 2*b, -s - 5*b - l = 4. Factor s*j**2 - 5*j**2 - 1 - 1 - 3*j.
-(j + 1)*(j + 2)
Let x(i) be the first derivative of -2*i**6/3 + 44*i**5/5 + 108*i**4 + 1216*i**3/3 + 704*i**2 + 576*i - 281. Factor x(t).
-4*(t - 18)*(t + 1)*(t + 2)**3
Find y such that 1/2*y**2 + 0 - 7*y = 0.
0, 14
Suppose 5012*i**2 - 19*i**3 + i**5 - 2*i**5 + 11*i**4 - 5003*i**2 = 0. Calculate i.
0, 1, 9
Let r(u) be the third derivative of -u**6/80 + 5*u**5/48 + u**4/8 - 43*u**3/6 - 17*u**2. Let s(n) be the first derivative of r(n). Factor s(q).
-(q - 3)*(9*q + 2)/2
Suppose 5*q = -9 + 89. Let t be (6/q)/((-18)/(-12)). Factor t*y**3 - 1/4*y**2 + 0*y + 0.
y**2*(y - 1)/4
Let k(p) be the second derivative of -p**5/30 + p**4/9 + 5*p**3/3 - 101*p. Factor k(d).
-2*d*(d - 5)*(d + 3)/3
Let t be (-18)/42*(-8 - -1). Let n be t - 6 - -3 - -2. Factor 3*r**5 - n*r**2 - 8*r**4 + 6*r**3 + 5*r**3 - 4*r**3.
r**2*(r - 1)**2*(3*r - 2)
Suppose 2*v = 2*m - 42, 5*v + 2*m + 65 = -m. Let y be (-80)/(-60)*(-6)/v. Factor 1/2 + y*h**3 + 3/2*h + 3/2*h**2.
(h + 1)**3/2
Let o(f) be the first derivative of 5*f**3/9 - 55*f**2/3 - 92. Factor o(a).
5*a*(a - 22)/3
Find f, given that -8 + 2*f**4 + 0*f**4 + 29*f**2 - 7*f**3 + 8*f - f**3 - 23*f**2 = 0.
-1, 1, 2
Let v be (-4 + (-8)/(-3))*-3. Let o(c) = -1. Let l(n) = -2*n**2 + 8*n + 2. Let p(s) = v*o(s) + 2*l(s). Factor p(j).
-4*j*(j - 4)
Let k = -147 - -2206/15. Let i(t) be the first derivative of 0*t - 2/15*t**3 - 2 - k*t**6 + 0*t**2 - 3/10*t**4 - 6/25*t**5. Find o such that i(o) = 0.
-1, 0
Suppose 88*k = 93*k - 65. Suppose -3 = -9*g + k*g + q, -3*q = -3*g + 9. Find r, given that 0 + 1/4*r**2 + g*r = 0.
0
Factor 11/6*m - 7/6*m**2 + 1/6*m**3 - 5/6.
(m - 5)*(m - 1)**2/6
Let q(m) be the second derivative of m**6/45 - 16*m**5/15 + 28*m**4/3 - 320*m**3/9 + 208*m**2/3 - 178*m. Solve q(t) = 0.
2, 26
Let g(k) be the third derivative of 0 - 729/280*k**6 + 0*k - 27/56*k**4 + 1/14*k**3 + 20*k**2 + 243/140*k**5. Solve g(h) = 0 for h.
1/9
Let p be ((-4)/48*-1167)/(-1). Let m = 98 + p. Factor 0*v + 0 - m*v**2.
-3*v**2/4
Let g = -101 + 101. Let v(h) be the second derivative of g + 1/15*h**3 + 1/60*h**4 + 2*h + 1/10*h**2. Suppose v(j) = 0. What is j?
-1
Let v(o) be the first derivative of o**3/30 + 6*o**2 + 360*o - 30. Factor v(p).
(p + 60)**2/10
Let y(b) be the first derivative of 14*b**2 + 8/3*b**3 - 7*b**4 + 10 - 8*b. Find j, given that y(j) = 0.
-1, 2/7, 1
Let c(n) be the third derivative of -n**6/720 - n**5/360 + n**4/18 + n**3/3 + 174*n**2. Factor c(q).
-(q - 3)*(q + 2)**2/6
Factor 2/5*s**2 + 4/5 - 6/5*s.
2*(s - 2)*(s - 1)/5
Let s = 17 - 14. Suppose k = 5*j, -j - j = s*k. Factor -3*g**4 + k*g**3 + 12 + 14*g**3 - 2*g**3 - 9*g**2 - 12*g.
-3*(g - 2)**2*(g - 1)*(g + 1)
Factor -9/4 + 3*n - 3/4*n**2.
-3*(n - 3)*(n - 1)/4
Let m(o) be the first derivative of -o**3/12 + 9*o**2/8 - 5*o - 54. Factor m(b).
-(b - 5)*(b - 4)/4
Let w(c) be the second derivative of 5*c**7/84 - 2*c**6/3 + 3*c**5/2 + 5*c**4/12 - 65*c**3/12 + 15*c**2/2 + 3*c + 10. Solve w(d) = 0 for d.
-1, 1, 6
Find p such that 48 - 56*p + 73/3*p**2 - 14/3*