60 - a**7/90 - a**6/90 - 5*a**4/4 + a**2. Let k(g) be the second derivative of z(g). Factor k(n).
-4*n*(n + 2)*(3*n + 1)
Suppose 2 - 4 = -d, 2*n - d = 22. Let a be (3/(-45))/((-2)/n). Factor 0 + 0*i + 1/5*i**2 + 1/5*i**4 + a*i**3.
i**2*(i + 1)**2/5
Let m(s) be the first derivative of -3*s**5/5 + 3*s**4 + 3*s**3 - 15*s**2 - 24*s + 46. Find v such that m(v) = 0.
-1, 2, 4
Let y(a) be the first derivative of -a**7/525 + a**6/100 - a**5/50 + a**4/60 + 11*a**2/2 - 15. Let c(j) be the second derivative of y(j). Factor c(i).
-2*i*(i - 1)**3/5
Let o(t) be the first derivative of 5*t**4/24 + 11*t**3/9 + 5*t**2/12 - 2*t + 12. Solve o(n) = 0 for n.
-4, -1, 3/5
Factor 40*k - 8*k**3 + 50*k**2 - 12*k**3 - 17*k**3 + 2*k**3.
-5*k*(k - 2)*(7*k + 4)
Let p(s) be the second derivative of s**7/280 - s**6/120 - s**5/8 - 3*s**4/8 + 7*s**3/2 - 26*s. Let o(r) be the second derivative of p(r). Factor o(q).
3*(q - 3)*(q + 1)**2
Suppose 0*x + 17 = 4*x - d, 5*x + 3*d = 17. Let n be 8 - 1 - 0/1. Factor -n*p**2 + p + 0*p**2 - x - 5*p**2 + 15*p.
-4*(p - 1)*(3*p - 1)
Factor -73*p + 2*p**2 + 149*p - 84*p.
2*p*(p - 4)
Suppose 3 = g + k, -15 = -2*g - k - 10. Let 1/5 - 1/10*a**g + 1/10*a = 0. Calculate a.
-1, 2
Let z(g) be the first derivative of -3*g**4/16 - 3*g**3/4 - 3*g**2/4 - 73. Factor z(o).
-3*o*(o + 1)*(o + 2)/4
Let r(v) be the third derivative of -v**5/60 + v**4/4 + 5*v**3/2 - 4*v**2. Let u be r(7). Solve 0*z - 7*z**2 - z + u*z**2 = 0 for z.
0, 1
Let i(p) be the first derivative of 1/5*p**2 - 2/15*p**3 + 0*p + 6. Factor i(r).
-2*r*(r - 1)/5
Let z(s) be the first derivative of 1/30*s**6 + 6 + 0*s**3 - 1/25*s**5 + 0*s**2 + 0*s - 1/10*s**4. Find b such that z(b) = 0.
-1, 0, 2
What is h in 674*h**2 + 275 - 11*h + 166*h**2 + 4657*h**4 - 290*h**3 - 861*h - 4652*h**4 + 42*h = 0?
1, 55
Let u(n) be the second derivative of n**4/3 - 28*n**3/3 - 30*n**2 - 4*n - 2. Let u(f) = 0. Calculate f.
-1, 15
Let p(v) be the third derivative of v**5/90 + 7*v**4/9 + 196*v**3/9 + 5*v**2 + 3*v. Let p(f) = 0. What is f?
-14
Determine l, given that 0 + 3/4*l + 3/4*l**3 - 3/2*l**2 = 0.
0, 1
Suppose -34 = -6*a + 2. Factor 5*f**4 + a + 13*f**3 - 3*f**3 - 5*f**5 - 6.
-5*f**3*(f - 2)*(f + 1)
Let n be (-57)/(-95) - 62/(-30). Let a be (-33)/(-9) - (-1 + 1 + 3). Factor n + a*g**2 + 8/3*g.
2*(g + 2)**2/3
Let n(g) = 4*g**4 + 171*g**3 + 623*g**2 + 762*g + 298. Let z(s) = -s**4 + s**3 - 2*s**2 + 2*s - 2. Let w(o) = n(o) - z(o). Find j, given that w(j) = 0.
-30, -2, -1
Factor -3/2*m**2 - 15 + 33/2*m.
-3*(m - 10)*(m - 1)/2
Let f = -45 + 46. Let c be (-1)/4 + f/4. Determine q, given that c*q**2 + 2/7*q**3 + 0 + 2/7*q**4 + 0*q = 0.
-1, 0
Let j(m) be the second derivative of m**7/63 + 17*m**6/9 - m**5/10 - 257*m**4/18 - 170*m**3/9 + 25*m. Find l such that j(l) = 0.
-85, -1, 0, 2
Suppose 88*w**4 + 1178*w**2 + 318 - 1530*w**2 - 274*w - 378 - 8*w**5 - 42*w**3 = 0. What is w?
-1, -1/2, 3, 10
Let r(y) = 100*y**2 + 40*y + 195. Let o(c) = -7*c**2 - 3*c - 14. Let s(m) = 85*o(m) + 6*r(m). Solve s(k) = 0.
-1, 4
Let x(y) be the third derivative of 11*y**2 + 0 + 0*y**5 + 0*y**3 - 1/80*y**6 + 0*y**4 + 0*y. Determine i, given that x(i) = 0.
0
Let v be ((-4)/(-22))/(339/1243). Factor 6 + 14/3*i**2 - 10*i - v*i**3.
-2*(i - 3)**2*(i - 1)/3
Let i(a) be the third derivative of 16*a**7/945 - 46*a**6/135 + 649*a**5/270 - 115*a**4/18 + 25*a**3/3 - 48*a**2. What is b in i(b) = 0?
3/4, 5
Let k(t) = 8*t + 9. Let c(f) = 4*f + 4. Let s(q) = 5*c(q) - 3*k(q). Let n be s(-4). Factor 7*z**2 - 8*z - n*z**2 + 4*z**2 + 2*z**2.
4*z*(z - 2)
Let p be (-16)/(-6) + -2 - (-20)/15. Solve -10*r**3 + 0*r**5 + 31*r**p + 8*r**5 - 14*r**4 - 7*r**2 - 12*r**2 = 0.
-1, 0, 3/4, 2
Suppose 3/5*s**3 - 3/5*s + 42/5 - 42/5*s**2 = 0. Calculate s.
-1, 1, 14
Suppose -1186*g - 13*g**2 + 2002*g + 41616 + 17*g**2 = 0. What is g?
-102
Let w(p) be the first derivative of -1/4*p**4 - 27 - 1/3*p**3 + 0*p + 0*p**2. Determine k so that w(k) = 0.
-1, 0
Suppose 52 - 840 = -197*j. Factor 2/3*p - 14/3*p**2 + 10*p**3 - 6*p**j + 0.
-2*p*(p - 1)*(3*p - 1)**2/3
Factor 43/4*k**2 + 483/4*k + 441/4 + 1/4*k**3.
(k + 1)*(k + 21)**2/4
Let z = -2595/14 - -1308/7. Let y(l) be the first derivative of -1/3*l**3 + 10 + 0*l - z*l**2. Determine r, given that y(r) = 0.
-3, 0
Suppose 4*f = 37 - 5. Let g be (-15)/(-10)*f/6. Factor 1/3*a**g + 0 + 2/3*a**3 + 1/3*a**4 + 0*a.
a**2*(a + 1)**2/3
Let g(h) be the third derivative of 3*h**8/224 + h**7/140 - 11*h**6/80 + 3*h**5/40 + h**4/2 - h**3 - 22*h**2. Find i, given that g(i) = 0.
-2, -1, 2/3, 1
What is p in 2 - 4*p**3 - 1/2*p**5 + 9/2*p - 3*p**4 + p**2 = 0?
-4, -1, 1
Let p(a) be the second derivative of a**4/66 - 2*a**3/33 + 6*a + 7. Factor p(d).
2*d*(d - 2)/11
Let b(x) be the third derivative of -x**9/68040 - x**8/10080 + x**6/810 - 3*x**4/8 + 2*x**2. Let u(r) be the second derivative of b(r). What is q in u(q) = 0?
-2, 0, 1
Let l = -413/12 + 2257/60. Factor -l*k**3 + 7/5*k - 8/5*k**2 - 1/5.
-(k + 1)*(4*k - 1)**2/5
Let z(k) = -k**2 + k + 2. Let h be z(0). Solve 2*a**3 + 60*a**h + 12*a + 14*a**3 - 11*a**3 - 105*a**4 + 28*a**3 = 0 for a.
-2/5, -2/7, 0, 1
Let b(g) = -7*g**2 + 280*g + 2. Let m be b(40). Let r(y) be the first derivative of 6*y - 2 + 9/2*y**3 - 9*y**m. Factor r(d).
3*(3*d - 2)**2/2
Let w be (1266/(-105) + 12)*-5. Find o such that 8/7 - w*o**2 - 6/7*o = 0.
-4, 1
Let y(k) be the second derivative of -k**6/1260 - k**5/210 - k**4/84 + 23*k**3/6 + 32*k. Let z(v) be the second derivative of y(v). Factor z(n).
-2*(n + 1)**2/7
Let y(g) be the third derivative of -12*g**5/5 + 26*g**4 - 338*g**3/3 - 33*g**2. Factor y(u).
-4*(6*u - 13)**2
Let j(v) be the second derivative of v**7/21 + 2*v**6/3 + 17*v**5/5 + 26*v**4/3 + 37*v**3/3 + 10*v**2 - 139*v. What is i in j(i) = 0?
-5, -2, -1
Let x = 8170/3 + -2722. What is y in 2/9*y**2 - x - 2/9*y = 0?
-2, 3
Let c = -15399/20 - -770. Let r(s) be the first derivative of -c*s**5 + 0*s**2 - 1/16*s**4 + 0*s + 5 + 1/6*s**3. Factor r(m).
-m**2*(m - 1)*(m + 2)/4
Suppose 3*p - a = 5, 2*a = 6*p - 4*p + 2. Let m be (-1 + (-5)/(-4))*(5 - p). Factor 0 + 1/2*g**2 - m*g.
g*(g - 1)/2
Let p(m) be the third derivative of -2/15*m**5 - 1/30*m**6 + 0 + 0*m + 0*m**4 + 0*m**3 + 17*m**2. Factor p(g).
-4*g**2*(g + 2)
Suppose o = -0*o - 3*i + 20, 0 = i - 1. Suppose -o - 8 = -5*z. Factor -225*f**3 - 6*f**2 - f - 2 + 223*f**3 - z*f.
-2*(f + 1)**3
Suppose -6*w + 1200 = 4*w. Factor 2/5*k**3 - 12*k**2 + w*k - 400.
2*(k - 10)**3/5
Let u = 497/9 + -496/9. Let a(o) be the first derivative of 0*o**3 - u*o**2 + 0*o**5 - 1/27*o**6 + 1/9*o**4 + 0*o + 1. Factor a(v).
-2*v*(v - 1)**2*(v + 1)**2/9
Let w(t) = 30*t**3 + 249*t**2 + 699*t + 501. Let d(y) = -3*y**3 - 25*y**2 - 70*y - 50. Let u = 92 - 90. Let s(l) = u*w(l) + 21*d(l). Factor s(n).
-3*(n + 1)*(n + 4)**2
Let a(x) be the second derivative of -2*x**2 + 8/5*x**5 + 0*x**3 + 2/5*x**6 + 0 + 2*x**4 + 8*x. Suppose a(t) = 0. What is t?
-1, 1/3
Let s(d) be the third derivative of -d**8/28 + d**7/14 + 23*d**6/40 - 3*d**5/10 - 323*d**2. Determine x, given that s(x) = 0.
-2, 0, 1/4, 3
Let l be -2*((1 - -4) + (-1612)/320). Let k(h) be the third derivative of 0*h**5 + l*h**4 + 1/5*h**3 + 0 + 0*h - 2*h**2 - 1/200*h**6. Solve k(z) = 0 for z.
-1, 2
Let h = -435 + 435. Let v(q) be the second derivative of 5*q - 1/2*q**4 - 1/15*q**6 - 4/3*q**3 + h + 2/5*q**5 + 4*q**2. What is g in v(g) = 0?
-1, 1, 2
Let w be 36/9 + (-1808)/10. Let o = 177 + w. Let 0 + 0*i - o*i**2 = 0. Calculate i.
0
Let i(q) be the second derivative of -q**7/210 - q**6/15 - 6*q**5/25 - 11*q**4/30 - 7*q**3/30 + 35*q + 5. Factor i(u).
-u*(u + 1)**3*(u + 7)/5
Suppose 6*p - 3*c = p + 147, -2*c - 28 = -p. Let -21*a**2 + 24*a**3 - p*a**3 + 3*a**4 + a**4 - 12*a - a**4 = 0. Calculate a.
-1, 0, 4
Let p(y) be the third derivative of 0 + 0*y**3 - 3/28*y**4 - 1/140*y**5 - 5*y**2 + 0*y. What is m in p(m) = 0?
-6, 0
Let n(m) be the first derivative of -1/5*m**5 - 1/4*m**4 - 1/30*m**6 + 2*m**2 + 2/3*m**3 - 4*m - 3. Let b(o) be the first derivative of n(o). Factor b(y).
-(y - 1)*(y + 1)*(y + 2)**2
Suppose -y - 5 = z, -2*z + y = -5*z - 5. Let d(l) be the first derivative of -2 - 1/3*l + z*l**2 + 1/9*l**3. Let d(u) = 0. What is u?
-1, 1
Let x(r) be the third derivative of 0*r**4 - 1/180*r**6 + 1/270*r**5 - 1/1512*r**8 + 0*r**3 + 0*r + 0 + 17*r**2 + 1/315*r**7. Fac