**f - 4*l.
l*(l - 1)
Let q be 13/4 - (0 + (-6)/8). Let k(j) be the second derivative of 1/15*j**3 - 2*j + 1/10*j**2 + 0 + 1/60*j**q. Factor k(y).
(y + 1)**2/5
Let p(c) be the third derivative of -c**10/40320 + c**4/12 - 3*c**2. Let u(w) be the second derivative of p(w). Factor u(h).
-3*h**5/4
Find z such that 12*z**3 - 9 + 6*z + 15*z**2 - 6 + 15 + 3*z**4 = 0.
-2, -1, 0
Let n be 3/6*(-4)/(-3). Let p = 229/3 - 76. Solve -p*a**2 + a - n = 0 for a.
1, 2
Let a(r) be the first derivative of r**4/42 - r**3/7 + 3*r - 3. Let s(b) be the first derivative of a(b). Solve s(o) = 0 for o.
0, 3
Suppose 6 = f + 2*f. Let n(a) be the second derivative of a + 0 - 1/55*a**5 - 4/33*a**3 - 1/11*a**f - 5/66*a**4. Solve n(i) = 0 for i.
-1, -1/2
Let r(v) be the first derivative of 2/3*v**3 + 0*v**4 - v + 0*v**2 - 1/5*v**5 + 5. Factor r(q).
-(q - 1)**2*(q + 1)**2
Let z(s) be the first derivative of -1/12*s**4 - 2*s + 1/9*s**3 + 0*s**2 - 1. Let r(m) be the first derivative of z(m). Let r(l) = 0. What is l?
0, 2/3
Let i(r) = -r - 14. Let y be i(-10). Let j be -4 + -1 + 11 + y. Determine v, given that -2*v**2 - j*v - 2/3 - 2/3*v**3 = 0.
-1
Find h such that 1/4*h**3 + 5/4*h + 1/2 + h**2 = 0.
-2, -1
Factor 1/2*b**4 + 0*b**2 + 0*b**3 + 0*b + 0.
b**4/2
Let l(x) be the first derivative of -x**4/12 + x**2/6 + 7. Factor l(n).
-n*(n - 1)*(n + 1)/3
What is f in 16 - 12*f**3 + 8*f**3 + 20*f**2 + 32*f - f**3 + 9*f**3 = 0?
-2, -1
Let w(s) be the second derivative of s + 0 + 81/20*s**5 + 2*s**3 + 0*s**2 + 6*s**4. Factor w(l).
3*l*(3*l + 2)*(9*l + 2)
Factor -5/6*t + 1/6 + 2/3*t**2.
(t - 1)*(4*t - 1)/6
Let i(f) be the second derivative of -1/60*f**6 + 2*f - 1/40*f**5 + 0*f**2 + 0 + 1/24*f**4 + 1/12*f**3. Factor i(l).
-l*(l - 1)*(l + 1)**2/2
Let z(c) be the second derivative of 0*c**2 - 1/1440*c**6 - 1/240*c**5 - 1/2*c**3 + 4*c + 0 - 1/96*c**4. Let v(h) be the second derivative of z(h). Factor v(q).
-(q + 1)**2/4
Suppose -3*s - 40 = 2*s. Let g = -4 - s. What is k in 4*k**g + 0*k**4 - 2*k**5 - 2*k**4 = 0?
0, 1
Let x be ((-4)/5)/((-8)/40). Factor -9*t**3 - 2*t**2 + 6*t**3 + 0*t**3 + 5*t**5 - x*t**5.
t**2*(t - 2)*(t + 1)**2
Let k(p) be the third derivative of p**5/60 + p**4/3 + 8*p**3/3 + 3*p**2 - 11. Determine y so that k(y) = 0.
-4
Let g(b) be the second derivative of b**5/4 - 5*b**4/12 - 13*b. Let g(l) = 0. Calculate l.
0, 1
Suppose 0 = -3*s + 3*j + 15, j = -3*s + 5*j + 19. Let f = s + 1. Factor -4 + 6*q - 2*q + 2 - 2*q**f.
-2*(q - 1)**2
Let n(u) be the first derivative of u**7/105 + 2*u**6/15 + 4*u**5/5 + 8*u**4/3 + 16*u**3/3 - u**2 + 3. Let k(b) be the second derivative of n(b). Factor k(s).
2*(s + 2)**4
Let m(h) be the first derivative of h**8/336 + h**7/70 + h**6/40 + h**5/60 - 3*h**2/2 + 4. Let u(x) be the second derivative of m(x). Let u(l) = 0. Calculate l.
-1, 0
Let l(u) be the first derivative of 16*u**4 + 16*u**3 + 6*u**2 + u + 8. Factor l(q).
(4*q + 1)**3
Let k(n) = 49*n - 537. Let m be k(11). Factor 0 - 3/2*w**m - 3/2*w**3 - 1/2*w**4 - 1/2*w.
-w*(w + 1)**3/2
Let z = -8 + 9. Suppose 3 + z = 2*l. Factor 6/11*h + 4/11 + 2/11*h**l.
2*(h + 1)*(h + 2)/11
Let m(r) be the third derivative of -11*r**2 - 1/6*r**3 - 1/210*r**7 + 0 - 1/60*r**6 + 1/336*r**8 + 1/30*r**5 + 0*r + 1/24*r**4. Let m(d) = 0. What is d?
-1, 1
Let x(n) be the second derivative of -n**5/15 + n**4/9 + 2*n**3/9 - 2*n**2/3 - 13*n. Find y such that x(y) = 0.
-1, 1
Suppose 27 - 3 = 4*d. Let l be 2/d*(0 - -2). Suppose -2/3 + l*h**2 - 2/3*h + 2/3*h**3 = 0. What is h?
-1, 1
Suppose 3*h - 3*l + 4 = -11, 2*l = 8. Let d(a) = a**2 - 2*a - 1. Let q be d(h). Find j such that -j**5 + 2*j**4 + 3*j - q*j**2 + j - 3*j = 0.
-1, 0, 1
Suppose -2*f - 7*f = 0. Let t(c) be the third derivative of -1/12*c**6 + 0 - 7/3*c**4 - 4*c**2 - 8/3*c**3 + f*c - 11/15*c**5. Suppose t(s) = 0. What is s?
-2, -2/5
Let b(o) be the third derivative of 0*o**4 + 0*o**3 - 1/350*o**7 + 0*o + 0*o**6 + 5*o**2 + 1/100*o**5 + 0. Suppose b(h) = 0. What is h?
-1, 0, 1
Let p = -10 + 15. Let o(b) be the first derivative of 3 - 20/3*b**3 - 2*b + p*b**4 + 5*b**2 - 2*b**5 + 1/3*b**6. Find j, given that o(j) = 0.
1
Let w = -673/2 - -341. Determine x so that -w*x - 3 + 18*x**2 - 21/2*x**3 = 0.
-2/7, 1
Let y be (-12)/(-78) + ((-56)/26 - -2). Factor -d**4 + 3/2*d**3 + y - 1/2*d + 0*d**2.
-d*(d - 1)**2*(2*d + 1)/2
Let z(o) = -3*o**2 - 8*o + 3. Let t(w) = -w**2 - 4*w + 2. Let l(r) = -10*t(r) + 4*z(r). Factor l(b).
-2*(b - 2)**2
Solve -3/4 + 21/4*i + 6*i**2 = 0.
-1, 1/8
Suppose 0 = -5*j + 6*j. Let r(w) be the second derivative of j - 1/12*w**4 + 0*w**3 + 0*w**2 + 2*w. Factor r(z).
-z**2
Let c(a) = -4*a**3 + 2*a**2 + 3*a. Let o(t) = t + 7. Let p be o(-10). Let q(j) = -5*j**3 + 2*j**2 + 4*j. Let r(g) = p*q(g) + 4*c(g). Factor r(i).
-i**2*(i - 2)
Find z, given that 44*z + z**2 + z**3 - 44*z = 0.
-1, 0
Factor -14/3*c**2 - 10/3*c**4 - 2/3*c**5 + 0 - 4/3*c - 6*c**3.
-2*c*(c + 1)**3*(c + 2)/3
Let t(a) be the second derivative of -a**6/420 - 2*a**5/105 - a**4/21 - 3*a**2/2 + 3*a. Let r(v) be the first derivative of t(v). Factor r(g).
-2*g*(g + 2)**2/7
Suppose -5*k = -2*p + 6, 4*k - 2 = -3*p + 7. Find v such that 0*v + 1/7*v**3 + 0 + k*v**2 = 0.
0
Find s such that 6*s**2 - 8*s**5 + 0*s**3 - 12*s**5 - 34*s**2 + 12*s**3 + 28*s**4 + 8*s = 0.
-1, 0, 2/5, 1
Let n(b) be the first derivative of 8*b**5/45 + 7*b**4/18 + 4*b**3/27 - b**2/9 + 4. Suppose n(i) = 0. Calculate i.
-1, 0, 1/4
Let a = 5/48 - -1/16. Let i(o) be the first derivative of 2/3*o - a*o**4 + 1/3*o**2 - 2/9*o**3 - 3. Factor i(u).
-2*(u - 1)*(u + 1)**2/3
Let m be (-3 + 70/24)/((-4)/36). Find i, given that 0 + m*i**4 - i**3 + 0*i - i**2 = 0.
-2/3, 0, 2
Let b(o) be the second derivative of 0 + 0*o**2 - 2/15*o**4 + 2/15*o**3 - 11/100*o**5 - 1/50*o**6 + 5*o. Find n, given that b(n) = 0.
-2, 0, 1/3
Let q(a) be the second derivative of a**6/15 + 9*a**5/70 - 2*a**4/7 - 4*a**3/21 - 8*a. Let q(j) = 0. What is j?
-2, -2/7, 0, 1
What is q in 0*q**2 - 2*q**3 + 2*q**2 + 5*q**4 + 9*q**3 = 0?
-1, -2/5, 0
Suppose -1/2*a + 0 + 1/4*a**2 = 0. What is a?
0, 2
Suppose -r + 22 = q, 4*q - 3*r = -q + 94. Suppose -3*p - 3*x - 2*x = 25, -q = p + 4*x. Let p*w + 0 + 0*w**3 + 1/3*w**4 - 1/3*w**2 = 0. What is w?
-1, 0, 1
Let c(v) = -3*v**5 - 6*v**4 + 6*v**3 - 3*v - 6. Let j(f) = 7*f**5 + 12*f**4 - 13*f**3 + f**2 + 6*f + 13. Let y(h) = -13*c(h) - 6*j(h). Let y(i) = 0. What is i?
-1, 0, 1
Let h(n) be the second derivative of n**5/4 + 15*n**4/4 + 25*n**3/2 + 35*n**2/2 + 2*n + 14. Factor h(x).
5*(x + 1)**2*(x + 7)
Let z(h) be the third derivative of -h**6/360 + h**5/120 + h**4/72 + 9*h**2. Factor z(b).
-b*(b - 2)*(2*b + 1)/6
Let g(s) be the first derivative of s**2/2 - 3*s + 3. Let r be g(6). Determine z so that -2/9*z**r + 0*z**2 + 2/9*z**5 + 0*z + 0*z**4 + 0 = 0.
-1, 0, 1
Suppose -5*y - 3*l = -9, -l - 2 = y - 5. Let r be y/(-1 - -2)*1. Determine p, given that r*p**2 - 2/3*p**3 - p**4 + 0 + 0*p = 0.
-2/3, 0
Factor -22/3*z + 10/3 + 14/3*z**2 - 2/3*z**3.
-2*(z - 5)*(z - 1)**2/3
Let g(z) be the second derivative of z**5/120 - z**4/24 - z**3/4 - 5*z**2/12 + 12*z - 1. Suppose g(l) = 0. Calculate l.
-1, 5
Let t be 24/(-9)*(-3)/2. Suppose t = -4*y + 2*r, 3*y + r - 3 = -1. Factor g**4 - 2/3*g - g**2 + y + 2/3*g**3.
g*(g - 1)*(g + 1)*(3*g + 2)/3
Let m(d) = d**3 + 10*d**2 + 12*d + 29. Let f be m(-9). Let s(o) be the second derivative of 0*o**3 - 1/6*o**4 - 2*o + 0 + o**f. Find w, given that s(w) = 0.
-1, 1
Let g(n) be the third derivative of n**7/105 + n**6/30 + n**5/30 - 9*n**2. Factor g(q).
2*q**2*(q + 1)**2
Let k be (-2)/(-10) + 38/10. Let -2*u**4 + 2*u**2 - 4*u**k - 4*u**5 + 0*u**2 = 0. Calculate u.
-1, 0, 1/2
Factor 1 - c + 1/4*c**2.
(c - 2)**2/4
Let j(m) = m**3 + 1. Let x(u) = -u**4 + 2*u**3 - 2*u**2 + 5. Let z(g) = -5*j(g) + x(g). Determine d so that z(d) = 0.
-2, -1, 0
Let g(z) be the third derivative of -z**5/12 - 5*z**4/24 + 44*z**2. Factor g(t).
-5*t*(t + 1)
Let x(o) be the third derivative of -o**8/336 + o**7/630 + o**6/180 + 6*o**2. Determine m so that x(m) = 0.
-2/3, 0, 1
Factor 2/5*d**2 + 8/5*d + 6/5.
2*(d + 1)*(d + 3)/5
Let w be (-2)/(1/(-2 + 6)). Let l be 3 - ((-36)/w - 2). Determine t, given that -1/4*t - l + 3/4*t**2 - 1/4*t**4 + 1/4*t**3 = 0.
-1, 1, 2
Let f = -8 - -6. Let w = f - -4. Factor -5*a - 10*a**3 + 0*a**2 + a + 14*a**w.
-2*a*(a - 1)*(5*a -