 p(g).
-2*(g - 1)*(2*g + 1)
Let t(w) be the third derivative of -w**8/1176 + 17*w**7/735 - 53*w**6/210 + 29*w**5/21 - 325*w**4/84 + 125*w**3/21 + 7*w**2. Factor t(r).
-2*(r - 5)**3*(r - 1)**2/7
Let r(t) be the first derivative of -t**3/12 + 5*t**2/4 - 25*t/4 - 33. Factor r(p).
-(p - 5)**2/4
Let w(n) be the third derivative of -n**5/60 - n**4/6 - 2*n**3/3 + 4*n**2. What is t in w(t) = 0?
-2
Let x(g) be the second derivative of -5*g**7/21 - 7*g**6/15 - g**5/5 + 2*g + 6. Solve x(f) = 0.
-1, -2/5, 0
Suppose -3*h = -0*h - 6. Let b = 9 - 5. Factor -2*j**h - j**3 + j**5 + j**4 - j**3 + j + 0*j**b + 1.
(j - 1)**2*(j + 1)**3
Factor -4/7 + 4/7*j**3 + 4/7*j**2 - 4/7*j.
4*(j - 1)*(j + 1)**2/7
Factor 6*c**3 - 3*c**3 - 3*c**4 + 8*c**4 + c**4 + 3*c**5.
3*c**3*(c + 1)**2
Let f = 65 - 65. Factor 0*a**2 + f - 2/7*a**3 + 2/7*a.
-2*a*(a - 1)*(a + 1)/7
Suppose -22 = -4*a + 5*y, -4*a + 11 = y + 1. Factor -1/2*i - i**2 + 0 - 1/2*i**a.
-i*(i + 1)**2/2
Let d = -6 - -9. Factor 0*r**2 - 3*r**2 + r**d - 3*r**3 + 2*r**2 - r**4.
-r**2*(r + 1)**2
Determine p so that -6*p**2 + 97*p**4 - 95*p**4 + 3*p**2 + p**2 = 0.
-1, 0, 1
Let u(j) = -j**3 - j**2 + 4*j + 1. Let z be u(-3). Suppose 0 = 3*h + n - 9, 5 = z*h - 3*h - n. Find p, given that -h*p**2 - 1 + 3 + p**4 - 1 = 0.
-1, 1
Let o(n) be the third derivative of n**7/1155 - n**6/660 - 7*n**2. Find w such that o(w) = 0.
0, 1
What is l in 2/7*l**4 + 0*l**2 - 2/7 - 5/7*l + 5/7*l**3 = 0?
-2, -1, -1/2, 1
Let u(w) = -3*w**2 - 1. Let r(m) = m**2 - m. Suppose 0 = 5*c + 6*l - 2*l + 3, -12 = 5*c + l. Let t(z) = c*u(z) - 6*r(z). Suppose t(k) = 0. Calculate k.
-1
Factor -1/3 - 2/3*w**2 - 1/6*w**3 - 5/6*w.
-(w + 1)**2*(w + 2)/6
Suppose 2*v = -0*v + 2. Find q, given that 0*q**4 + 2*q**2 - 14*q**2 + 2 + 6*q - 6*q**3 + 9*q**4 + v = 0.
-1, -1/3, 1
Let r be (-1)/((-6)/2 + 1). Factor 3*m**2 + r*m**4 + 2*m**3 + 1/2 + 2*m.
(m + 1)**4/2
Let k(b) be the third derivative of -1/20*b**6 + 0 + 0*b + 5/504*b**8 - 4*b**2 + 1/9*b**4 - 4/45*b**5 + 0*b**3 + 8/315*b**7. Let k(y) = 0. Calculate y.
-2, -1, 0, 2/5, 1
Let i(s) be the third derivative of -s**8/90720 + s**7/7560 - s**6/1620 + s**5/15 - 2*s**2. Let a(f) be the third derivative of i(f). Factor a(q).
-2*(q - 2)*(q - 1)/9
Suppose 5 = h - 1. Let n = h + -4. Factor -8/3 - 54*t**n + 24*t.
-2*(9*t - 2)**2/3
Let h(b) = b**3 + 4*b**2 + 2*b - 4. Let g be h(-3). Let d be (-2 - -5)/(g/(-1)). Factor -8/5*x**2 - 2*x - 2/5*x**d - 4/5.
-2*(x + 1)**2*(x + 2)/5
Suppose -22*m - 4 = -24*m. Factor 0 + 6/7*f**3 + 0*f - 4/7*f**m.
2*f**2*(3*f - 2)/7
Solve -83*k**3 - 20*k + 0*k**4 - 5*k**4 + 98*k**3 = 0 for k.
-1, 0, 2
Let n(q) be the first derivative of 4*q**3/3 + 6*q**2 + 8*q + 6. Find a such that n(a) = 0.
-2, -1
Let u(g) = -3*g + 15. Let z be u(5). Factor 2/7*q**2 + 6/7*q**4 + 6/7*q**3 + z*q + 0 + 2/7*q**5.
2*q**2*(q + 1)**3/7
Let t(a) = 5*a**2 - a**3 - 5*a**2 - a + 1 + 0*a**2. Let w(m) = 13*m**3 - 6*m**2 - m - 3. Let z = 1 + -2. Let v(g) = z*w(g) - 3*t(g). Factor v(u).
-2*u*(u - 1)*(5*u + 2)
Let s(d) be the first derivative of -d**3/3 - 3*d**2 - 9*d - 64. Factor s(g).
-(g + 3)**2
Let n(l) be the third derivative of l**8/33600 + l**7/6300 - l**6/900 - l**5/75 - l**4/6 + 6*l**2. Let d(t) be the second derivative of n(t). Factor d(z).
(z - 2)*(z + 2)**2/5
Let x(m) be the third derivative of -m**5/90 - 5*m**4/36 - 4*m**3/9 + 6*m**2. Factor x(k).
-2*(k + 1)*(k + 4)/3
Determine a, given that 35/4*a + 15/4 + 5/2*a**2 = 0.
-3, -1/2
Let k = -48 - -52. Factor -4/5*q**2 + 2/5*q**5 + 2/5*q**k + 2/5 + 2/5*q - 4/5*q**3.
2*(q - 1)**2*(q + 1)**3/5
Let q(m) be the third derivative of -1/480*m**6 - 1/96*m**4 - 1/120*m**5 + 0*m + 0 + 5*m**2 + 0*m**3. Let q(a) = 0. Calculate a.
-1, 0
Let m(d) be the third derivative of d**7/70 - 7*d**6/20 + 49*d**5/20 - 18*d**2. Let m(f) = 0. What is f?
0, 7
Let p(t) be the first derivative of 0*t**2 + 2/21*t**3 + 0*t - 2. Factor p(v).
2*v**2/7
Suppose -78 = -p - 38*p. Suppose -2*i**p + 6*i + 2/9*i**3 - 6 = 0. Calculate i.
3
Suppose 0 = -3*c + 4*k - 9, 2 = -5*c + k + 4. Let r(n) be the first derivative of -4/7*n - 1/3*n**6 + n**4 + 8/21*n**3 - 4/35*n**5 + c - n**2. Solve r(i) = 0.
-1, -2/7, 1
Let p(w) be the second derivative of -w**8/4200 - w**7/6300 + w**4/3 - 5*w. Let x(r) be the third derivative of p(r). Let x(g) = 0. What is g?
-1/4, 0
Let j(t) be the third derivative of 0 - 3*t**2 + 1/6*t**3 + 1/60*t**5 + 0*t - 1/12*t**4. Factor j(f).
(f - 1)**2
Let g(b) be the third derivative of -7*b**6/660 + 3*b**5/110 + b**4/11 - 4*b**3/33 - 7*b**2. Let g(a) = 0. What is a?
-1, 2/7, 2
Let x(p) be the second derivative of -p**5/20 + p**4/12 + 5*p**3/6 + 3*p**2/2 - 5*p. Factor x(n).
-(n - 3)*(n + 1)**2
Suppose -4*f + 6 = -2*f. Let z(p) be the third derivative of 0*p**f + 0*p**4 + 0*p**5 + 1/120*p**6 + 0*p - p**2 + 0. Suppose z(m) = 0. Calculate m.
0
Let q(f) be the second derivative of f**7/168 + f**6/24 + 3*f**5/80 - 5*f**4/48 - f**3/6 - f + 1. Suppose q(d) = 0. What is d?
-4, -1, 0, 1
Suppose 4*t - w - 65 = 0, -4*w + w - 15 = 0. Let l be (-3)/t + 22/10. Factor 2/3 + 0*y - 2/3*y**l.
-2*(y - 1)*(y + 1)/3
Let c = -3 - -5. Factor z + 4*z**2 + c*z**5 - 3*z - 4*z + 4*z - 4*z**4.
2*z*(z - 1)**3*(z + 1)
Find g such that -9049*g + 9049*g - 3 + 3*g**2 = 0.
-1, 1
Let v = 7/3 - 5/3. Let z(r) be the first derivative of -5/6*r**2 + 1/18*r**6 + 2/9*r**3 - 4/15*r**5 - 2 + v*r + 1/3*r**4. Factor z(d).
(d - 2)*(d - 1)**3*(d + 1)/3
Let u(g) be the second derivative of -2*g + 4/3*g**4 + 1/2*g**2 - 4/3*g**3 + 0. Factor u(v).
(4*v - 1)**2
Solve h + 6*h**4 - 4*h**2 + 5*h - 2 - 8*h**3 + 2*h = 0 for h.
-1, 1/3, 1
Let u(y) be the second derivative of -3*y + 0*y**2 + 0 - 1/6*y**3 + 1/6*y**4 - 1/20*y**5. Let u(f) = 0. Calculate f.
0, 1
Let t = -4063/5206 - -27757291/8043270. Let d = t + -2/515. Let -d*n**4 + 2/3*n - 4/3*n**2 + 0 - 14/3*n**3 = 0. Calculate n.
-1, 0, 1/4
Let v(y) = -195*y**4 + 115*y**3 - 16*y**2 + 5. Let b(u) = 488*u**4 - 288*u**3 + 40*u**2 - 12. Let n(j) = 5*b(j) + 12*v(j). What is q in n(q) = 0?
0, 1/5, 2/5
Let a(u) be the first derivative of -3/2*u**2 - 2 + 1/2*u**6 + 2*u**3 + 0*u + 0*u**4 - 6/5*u**5. What is j in a(j) = 0?
-1, 0, 1
Determine r so that 20/3*r**2 - 55/3*r + 5/3*r**3 + 10 = 0.
-6, 1
Let u(l) = -l**2 - 4. Let x be u(0). Let n be 3/((-6)/x) - -2. Factor -2*q**4 - n*q**2 + 5*q**5 - 3*q**5 - 2*q + 6*q**4.
2*q*(q - 1)*(q + 1)**3
Let r = 307 - 2459/8. Let n = 1/8 - r. Solve -1/2*s**3 + 0*s**2 + n*s + 0 = 0 for s.
-1, 0, 1
Factor 634 + 3*j**3 + 18*j**2 + 24*j - 634.
3*j*(j + 2)*(j + 4)
Suppose 0*a + a = 6*a. Let l(i) be the third derivative of 0*i + a*i**3 + 1/60*i**5 - 1/24*i**4 - 2*i**2 + 0. Determine q so that l(q) = 0.
0, 1
Let s(y) be the first derivative of y**4/48 - y**3/4 + 9*y**2/8 - 8*y + 7. Let g(h) be the first derivative of s(h). Factor g(m).
(m - 3)**2/4
Suppose -4*v - o = 4*o + 17, -v = -3*o - 17. Determine z, given that 0*z**2 - v*z**2 + 4 + 3*z**2 + 4*z = 0.
-2
Suppose -3*i - 23 = -4*q, -2*q - 2*i - 7 + 1 = 0. Let u be q*2/14 + 0. Solve 2/7*d**2 - u*d + 2/7*d**3 + 0 - 2/7*d**4 = 0.
-1, 0, 1
Let n(f) = -f**3 - 15*f**2 - 27*f - 13. Let c be n(-13). Factor c - 3/5*z**2 + 3/5*z**3 - 1/5*z**4 + 1/5*z.
-z*(z - 1)**3/5
Let k = -3/70 + 54/35. Factor -1/2*u**2 - 1 + k*u.
-(u - 2)*(u - 1)/2
Suppose p = 3*r - 7, 0*r - 4 = -4*r + 4*p. Factor 25*f**2 - 27*f**2 - f**4 + r*f**4.
2*f**2*(f - 1)*(f + 1)
Let u(h) be the third derivative of h**2 - 1/21*h**3 + 0*h**4 + 0 + 1/210*h**5 + 0*h. What is d in u(d) = 0?
-1, 1
Suppose -2*h = -4*h + 4. Suppose -j - 2 + 3 - 20*j**2 + 26*j**h - 2 = 0. What is j?
-1/3, 1/2
Let v(z) be the first derivative of -z**2 - 3*z - 1/9*z**3 + 1. Factor v(d).
-(d + 3)**2/3
Suppose j = -0*j. Let z(o) be the third derivative of 0*o + 0*o**3 + j*o**5 + 0 + 2*o**2 - 1/210*o**7 + 0*o**4 + 1/120*o**6. Determine m, given that z(m) = 0.
0, 1
Suppose -h + 5*v = 12 + 1, -4*v = -12. Factor 2*o + 4*o**h - 2*o**2 - 2*o.
2*o**2
Let u(b) be the first derivative of -b**3/18 - 7*b**2/12 - 2*b - 7. Determine a, given that u(a) = 0.
-4, -3
Find w such that -2/7*w**4 + 2/7*w + 6/7*w**3 - 6/7*w**2 + 0 = 0.
0, 1
Suppose -3*q + 17 = -o + 6*o, 5 = -5*q. Let k(m) = -m**3 + 4*m**2 + m - 2. Let d be k(o). Factor t + 2*t**2 - d + 4 + 3*t.
2*(t + 1)**2
Suppose l - 3*i - 19 = -3*l, -4*i = l. Determine a, given that 