f) = 0.
-2/5, 1
Let r(g) be the third derivative of -g**5/45 + g**4/18 + 4*g**3/9 - 30*g**2. Solve r(n) = 0 for n.
-1, 2
Let p(x) be the first derivative of x**8/3360 + x**7/3360 - x**6/720 - x**5/480 - 2*x**3/3 + 3. Let u(k) be the third derivative of p(k). Solve u(h) = 0 for h.
-1, -1/2, 0, 1
Let k(x) = -x**5 + x**3 - x**2 - x + 1. Let a(y) = -20*y**5 - 5*y**4 - 5*y**3 + 45*y**2 - 80*y + 40. Let j(p) = -a(p) + 25*k(p). Determine o so that j(o) = 0.
-3, 1
Suppose -2*k - n - 11 = -19, -4*k + 32 = -2*n. Factor 0 - k*w - 3/2*w**2.
-3*w*(w + 4)/2
Let o(v) be the third derivative of v**8/112 - v**7/42 - v**6/60 + v**5/10 - v**4/24 - v**3/6 - 2*v**2. Find a, given that o(a) = 0.
-1, -1/3, 1
Let t(k) = 4*k**3 - 2*k + 2. Let a be 2/6 + (-12)/(-18). Let q(j) = j**3 - j**2 + j + 1. Let g(f) = a*t(f) - 2*q(f). Factor g(p).
2*p*(p - 1)*(p + 2)
Factor -1/2*k - 1/2*k**3 - k**2 + 0.
-k*(k + 1)**2/2
Let r be 4 + 3 + (-29)/5. Factor 4/5*m**3 + 4/5*m - r*m**2 - 1/5*m**4 - 1/5.
-(m - 1)**4/5
Find i, given that -i**3 + 32*i**2 + 2*i**4 - 19*i**3 + 4*i**3 + 2*i**3 - 24*i = 0.
0, 2, 3
Let x be ((-576)/648)/(20/(-18)). Let x*m**4 + 0 + 0*m + 2/5*m**5 + 2/5*m**3 + 0*m**2 = 0. Calculate m.
-1, 0
Let o(l) be the second derivative of 0 - 3/4*l**4 + 3/20*l**5 - 6*l + 0*l**2 + 0*l**3. Factor o(t).
3*t**2*(t - 3)
Let l = 459/644 - -6/161. Factor -l*i**3 - 3/4*i**2 + 3/2*i + 0.
-3*i*(i - 1)*(i + 2)/4
Factor 70*c**2 + 64*c - 50/3*c**3 + 40/3.
-2*(c - 5)*(5*c + 2)**2/3
Let l(w) be the second derivative of w**4/8 + 3*w**3/4 - 34*w. Factor l(h).
3*h*(h + 3)/2
Let k be (-2 + -3 + 2 + 2)*-5. Determine p so that -1/2*p**k - 1/2*p - 1/2*p**4 + p**3 - 1/2 + p**2 = 0.
-1, 1
Let o = 4 - 1. Let u(q) be the second derivative of -3/2*q**4 + 0 + 0*q**2 - 1/7*q**7 + 2/3*q**o + q + 1/15*q**6 + 9/10*q**5. Find g such that u(g) = 0.
-2, 0, 1/3, 1
Let k(o) = o + 9. Let u be k(-5). Let l be ((-1)/(-12))/(((-12)/4)/(-45)). Factor -y**u - 2*y**3 - l*y**2 - 1/4*y + 0.
-y*(y + 1)*(2*y + 1)**2/4
Let d(h) be the first derivative of -1 + 8/7*h - 36/7*h**2 + 54/7*h**3. Let d(g) = 0. Calculate g.
2/9
Find m such that -m**2 + m + m**3 - 4 + 4 - m**2 = 0.
0, 1
Let o = 7 - 5. Let u(m) be the second derivative of -1/2*m**o + 0 + 1/3*m**3 + 2*m - 1/12*m**4. Determine g so that u(g) = 0.
1
Let j(h) = h**3 + h**2 - 3*h + 1. Let c be j(4). Let q = -273/4 + c. Factor 0*n + 1/4*n**5 + 3/4*n**3 + 0 + q*n**4 + 1/4*n**2.
n**2*(n + 1)**3/4
Let c(d) be the first derivative of 4*d**5/5 + d**4 - 1. Factor c(n).
4*n**3*(n + 1)
Let j(u) = u**2 - 23*u + 12. Let k(r) = r**2 - 35*r + 18. Let z(g) = -8*j(g) + 5*k(g). Suppose z(v) = 0. What is v?
1, 2
Let r(l) = -139*l**3 + 28*l**2 + 16*l - 4. Let y(d) = 972*d**3 - 195*d**2 - 111*d + 27. Let z(f) = 27*r(f) + 4*y(f). Solve z(t) = 0.
-2/9, 0, 2/5
Let j(d) be the third derivative of -d**8/392 + 13*d**7/735 - 17*d**6/420 + d**5/70 + 2*d**4/21 - 4*d**3/21 - 9*d**2. Determine w so that j(w) = 0.
-2/3, 1, 2
Let a = 103 + -101. Suppose 0 - d + 3/2*d**a - 1/2*d**3 = 0. Calculate d.
0, 1, 2
Suppose -12 = -2*w - 4*o, w - 1 - 4 = -o. Let 3*j**3 + 2*j**w + 3*j**3 - 2*j**3 + 0*j**2 + 2*j**2 = 0. Calculate j.
-1, 0
Let j = -2/7447 - -1169187/29788. Let v = j - 39. Factor 0*i**3 - v*i**2 + 0 + 0*i + 1/4*i**4.
i**2*(i - 1)*(i + 1)/4
Determine c so that 0*c**4 - 3/7*c**5 + 0*c + 9/7*c**3 - 6/7*c**2 + 0 = 0.
-2, 0, 1
Factor 0*i - 1/5*i**4 - 2/5*i**2 + 0 + 3/5*i**3.
-i**2*(i - 2)*(i - 1)/5
Let s(n) = 3*n**2 + 2*n - 1. Suppose 16 - 12 = 4*f. Let u be s(f). Factor 0*h + 0 + 4/3*h**3 + 0*h**2 - 2/3*h**u - 2*h**5.
-2*h**3*(h + 1)*(3*h - 2)/3
Let z(h) be the first derivative of 5*h**4/4 - 5*h**3/3 - 10*h**2 + 20*h - 18. Factor z(l).
5*(l - 2)*(l - 1)*(l + 2)
Let f(t) = -t**2 - 3*t - 4. Let o be f(-3). Let m = 6 + o. Determine i, given that -5*i**2 + 2*i**m + 0 + 0 = 0.
0
Let d be (-24)/(-135) - (-6)/27. Factor -2/5*n**2 - 4/5*n - d.
-2*(n + 1)**2/5
Let x(p) be the first derivative of p**6/60 + 3*p**5/50 + 3*p**4/40 + p**3/30 + 3. Determine l, given that x(l) = 0.
-1, 0
Let a = 31/20 + 7/10. Let 2*y + 5/4*y**2 - 9/2*y**3 - 1 + a*y**4 = 0. What is y?
-2/3, 2/3, 1
Let j(i) be the second derivative of -1/2*i**3 + 0 - i**2 + 2*i - 1/12*i**4. Factor j(d).
-(d + 1)*(d + 2)
Let a(m) be the first derivative of m**5/10 - m**4/2 + 5*m**3/6 - m**2/2 + 48. Factor a(d).
d*(d - 2)*(d - 1)**2/2
Let g(j) = -j**5 + j**4 + j. Let n(x) = -10*x**5 - 2*x**4 - 4*x**3 + 6*x. Let l(r) = 6*g(r) - n(r). Let l(o) = 0. What is o?
-1, 0
Let v(r) = 4*r**4 + 9*r**3 + 8*r**2 + 3*r. Let n(w) = 8*w**4 + 19*w**3 + 16*w**2 + 5*w. Let z(g) = -3*n(g) + 5*v(g). Factor z(l).
-4*l**2*(l + 1)*(l + 2)
Let r(f) = -f + 16. Let i be r(12). Suppose 0 = c + i*c - 10. Factor g - 1/4*g**c - 1.
-(g - 2)**2/4
Let c(u) be the first derivative of -u**5/10 + u**4/4 - 15. Solve c(i) = 0.
0, 2
Factor -33*b + b**2 + 30 + 0*b**2 + 2*b**2.
3*(b - 10)*(b - 1)
Let g(h) be the second derivative of h**4/12 + h**3 + h**2 + h. Let p be g(-6). Factor -3*n - 2*n**p + n - 1 + n**2.
-(n + 1)**2
Suppose -i + 2*i = 0. Suppose -4*c**3 + 0*c**3 - 2*c + 5*c**2 + i*c**3 + c**4 + 0*c**2 = 0. What is c?
0, 1, 2
Find x, given that -3/2*x**2 - 5/4*x**3 + 2 + x - 1/4*x**4 = 0.
-2, 1
Let u be (-2)/(-3) + 0 + 0 + 0. Factor -u*v + 0 + 2/3*v**4 - 2/3*v**2 + 2/3*v**3.
2*v*(v - 1)*(v + 1)**2/3
Let r be 465/21 - (-4)/(-28). Factor 9 + 28*q**2 - r*q + 2 - 7.
2*(2*q - 1)*(7*q - 2)
Let y(c) be the first derivative of -1/3*c**3 - 2 + 1/24*c**4 + 0*c - 1/360*c**6 + 0*c**5 + 0*c**2. Let n(u) be the third derivative of y(u). Factor n(p).
-(p - 1)*(p + 1)
Let h(l) = l + 7. Let a be h(-5). Factor -3*c**4 - a*c**2 + 2*c**3 + 3*c**4 - 2*c + 2*c**4.
2*c*(c - 1)*(c + 1)**2
Determine u so that 2/11*u - 2/11*u**3 + 12/11*u**2 + 0 - 12/11*u**4 = 0.
-1, -1/6, 0, 1
Let z(c) = 4*c**2 + 4*c - 3. Let t(k) = 7*k**2 + 7*k - 5. Let m be (0 - -2)/(-2) + -3. Let q = -9 - m. Let n(a) = q*z(a) + 3*t(a). Determine l so that n(l) = 0.
-1, 0
Factor 48/7*j + 24/7*j**2 + 4/7*j**3 + 32/7.
4*(j + 2)**3/7
Let z(h) be the first derivative of -h**3 - 3*h**2/2 - 3. Factor z(b).
-3*b*(b + 1)
Solve -12/13*r**3 + 16/13*r**2 + 0 - 6/13*r + 2/13*r**5 + 0*r**4 = 0 for r.
-3, 0, 1
Let k be (-3)/(-5) - (-34)/10. Let z be (0/1)/(-2) - -3. What is q in -2*q - 4*q**2 + 2*q**5 + 7*q**4 + 0*q - z*q**k = 0?
-1, 0, 1
Let r(c) = 3*c - 5. Let a(n) = n. Let o(w) = -a(w) + r(w). Let g be o(4). Factor -8/3*k**4 - 2/3*k + 14/3*k**g + 0 - 4/3*k**2.
-2*k*(k - 1)**2*(4*k + 1)/3
Let o(x) be the third derivative of x**9/7560 + x**8/3360 - x**7/1260 - x**6/360 - x**4/6 + 6*x**2. Let k(y) be the second derivative of o(y). Factor k(l).
2*l*(l - 1)*(l + 1)**2
Let f = -34 + 39. Let j(h) be the third derivative of 0 - 1/30*h**3 - 1/300*h**f + 0*h - 1/60*h**4 + 4*h**2. Factor j(k).
-(k + 1)**2/5
Let m(s) be the first derivative of 1/4*s**3 + 1/16*s**4 + 3/8*s**2 - 2 + 1/4*s. Factor m(j).
(j + 1)**3/4
Let d = 1 + 3. Suppose -7 = d*j - 15. Let y - 6*y - y**j - 4 + y = 0. What is y?
-2
Let a(i) be the third derivative of 5*i**5/24 - 5*i**4/8 + 3*i**3/4 + 3*i**2. Factor a(v).
(5*v - 3)**2/2
Let u(k) be the third derivative of k**8/20160 - k**7/2520 + k**6/720 - k**5/20 + 2*k**2. Let h(p) be the third derivative of u(p). Factor h(d).
(d - 1)**2
Let z(d) be the third derivative of -d**6/1080 - d**5/90 - d**4/18 - d**3/3 + d**2. Let k(g) be the first derivative of z(g). Factor k(v).
-(v + 2)**2/3
Let d(f) be the first derivative of f**6/360 - f**5/60 + f**4/24 - f**3/18 - 5*f**2/2 + 1. Let a(r) be the second derivative of d(r). Factor a(k).
(k - 1)**3/3
Suppose 6*o + 4*l = 8*o - 18, 3*o - 5*l = 25. Solve 2/11*j**3 + 0*j**2 + 2/11*j**o + 0 - 4/11*j**4 + 0*j = 0 for j.
0, 1
Find t, given that 18*t + 2*t**2 - 5 - 24*t + 5 + 4 = 0.
1, 2
Let p(v) = -v - 5. Let n be p(-7). Suppose 2/7 + 2/7*o**n - 4/7*o = 0. What is o?
1
Let z(s) be the second derivative of -s**5/110 + s**4/22 - s**3/11 + s**2/11 + 12*s. Suppose z(n) = 0. Calculate n.
1
Let g(h) be the second derivative of -h + 0*h**3 - 1/30*h**5 + 1/45*h**6 + 0 - 1/9*h**4 + 0*h**2. Factor g(v).
2*v**2*(v - 2)*(v + 1)/3
Let k(i) be the first derivative of -3 + 5*i**3 + 7/2*i**2 + i + 9/4*i**4. Factor k(r).
(r + 1)*(3*r + 1)**2
Let r(i) be the second derivative of 0 + i + 1/2*i**3 + 7/4*i**4 - i**2 + 5/4*i**5 + 3/10*