 + l - 2*g - 6 = a. Suppose -37*p**l + 33*p**3 + p - p = 0. Calculate p.
0
Factor 267 - 2*s**2 - 267 - s**3.
-s**2*(s + 2)
Let i(g) be the second derivative of -g**6/30 + g**5/4 - g**4/4 - 3*g**3/2 - 2*g + 34. Solve i(t) = 0 for t.
-1, 0, 3
Factor 1/6*p**5 + 1/3*p + 1/6*p**2 - 1/2*p**3 - 1/6*p**4 + 0.
p*(p - 2)*(p - 1)*(p + 1)**2/6
Let 18/17*f**2 - 14*f + 2/17*f**4 + 196/17 + 22/17*f**3 = 0. What is f?
-7, 1, 2
Let h(j) be the second derivative of -j**6/20 - 147*j**5/40 - 765*j**4/8 - 3179*j**3/4 + 14739*j**2/2 + 3*j - 6. Suppose h(s) = 0. What is s?
-17, 2
Let j(l) be the third derivative of 7*l**5/20 + 285*l**4/8 - 41*l**3 + 2*l**2 - 87*l. Factor j(k).
3*(k + 41)*(7*k - 2)
Let t(w) be the third derivative of -7*w**8/24 + 11*w**7/15 + 131*w**6/30 - 82*w**5/15 + 2*w**4 - 14*w**2 - 8. Let t(c) = 0. Calculate c.
-2, 0, 2/7, 3
Let q(f) be the third derivative of -f**6/180 - f**5/10 - 5*f**4/9 - 17*f**2. Factor q(a).
-2*a*(a + 4)*(a + 5)/3
Let q = 132 - 119. Let o(a) = a**2 - 15*a + 28. Let m be o(q). Factor m*x**4 + 0 - 2/3*x**2 + 0*x + 4/3*x**3.
2*x**2*(x + 1)*(3*x - 1)/3
Let y(b) be the third derivative of -1/16*b**4 + 0*b + 1/120*b**5 + 0 - 12*b**2 + 0*b**3. Factor y(l).
l*(l - 3)/2
Suppose -h = 5 - 7. Find j such that 4*j**3 + 3*j**h - 2*j**2 + j**2 + 2*j**2 = 0.
-1, 0
Let o(f) = -f**2 + f - 1. Let u(y) = -7*y**2 + 13*y - 4. Let p(b) = -b**2 + b - 1. Let i(d) = -6*p(d) + u(d). Let h(g) = 5*i(g) + 20*o(g). Solve h(c) = 0 for c.
1/5, 2
Let p = 7466 + -7466. Suppose p*r**2 + 0*r**3 + 6*r**4 + 0*r + 3/2*r**5 + 0 = 0. What is r?
-4, 0
Suppose 48*o**4 - 3*o**5 - 4*o**5 + 2*o**5 - 33*o**4 + 0*o**5 = 0. Calculate o.
0, 3
Suppose -9 = -2*l - 5*d + 6*d, -12 = -l + 2*d. Let v(q) be the first derivative of -2/3*q**3 - 2*q**l - 2*q + 3. Suppose v(m) = 0. What is m?
-1
Let i(d) be the third derivative of -d**8/112 - 3*d**7/35 - d**6/4 + 11*d**4/8 + 3*d**3 + 136*d**2. Find r, given that i(r) = 0.
-3, -2, -1, 1
Suppose 0 = 4*o + 12, 5*z = 10*z - 2*o - 2246. Suppose 282*j - 1184*j**2 + 992*j**3 - 14*j + 220*j**2 + z*j**4 - 24 = 0. Calculate j.
-3, 1/4, 2/7
Let j(n) be the first derivative of -1/6*n**4 + 9 + 0*n - 1/30*n**5 + n**3 + 1/2*n**2. Let l(s) be the second derivative of j(s). Factor l(h).
-2*(h - 1)*(h + 3)
Let t(o) be the first derivative of 2 + 1/6*o**6 - 3/4*o**4 + 2*o**2 + 4/3*o**3 + 0*o - 2/5*o**5. Find y, given that t(y) = 0.
-1, 0, 2
Let k(t) be the third derivative of t**8/1680 + t**7/252 + t**6/90 + t**5/60 - 13*t**4/24 + 4*t**2. Let n(x) be the second derivative of k(x). Factor n(d).
2*(d + 1)**2*(2*d + 1)
Let h(m) be the second derivative of 0 - 1/30*m**4 - 6*m - 7/50*m**5 + 7/15*m**3 + 1/5*m**2. What is w in h(w) = 0?
-1, -1/7, 1
Let o(h) = h**4 - 2*h**3 - 2*h**2 - 2. Let c(l) = 7*l**4 - 10*l**3 - 67*l**2 + 88*l + 132. Let g(u) = -c(u) + 6*o(u). Find f such that g(f) = 0.
-9, -1, 4
Suppose 0 = -32*k + 158 - 62. Factor -4/3*i**4 + 0*i + 4/3*i**k + 0*i**2 + 0.
-4*i**3*(i - 1)/3
Suppose 3*z - f - 3*f - 253 = 0, -2*f - 83 = -z. Let y = z + -85. Let -y*a + 4 + 1/4*a**2 = 0. Calculate a.
4
Let r be (30/(-70))/(8 + -11)*2. Factor -r*p**2 + 0 + 0*p.
-2*p**2/7
Let c(y) = y**3 - 13*y**2 - y + 16. Let h be (-279)/(-21) + (-1 - (-5)/7). Let s be c(h). Factor -2/13*a**5 + 0*a + 0*a**s + 0*a**2 - 2/13*a**4 + 0.
-2*a**4*(a + 1)/13
Let z = -2274/11 + 15984/77. Suppose z*k**3 - 6/7*k + 18/7 - 18/7*k**2 = 0. Calculate k.
-1, 1, 3
Suppose 7 = 253*m + 7. Determine i, given that -4/5*i**3 + 1/5*i**4 + 0*i + m + 3/5*i**2 = 0.
0, 1, 3
Let z(c) be the third derivative of -c**5/360 - 11*c**4/144 + 13*c**3/18 - 77*c**2. Let z(d) = 0. What is d?
-13, 2
Let p(m) = m - 1. Let d(s) be the third derivative of -s**5/12 + 35*s**3/6 - 9*s**2. Let b(r) = d(r) + 15*p(r). Find u, given that b(u) = 0.
-1, 4
Let z = -367 - -373. Let a(l) be the first derivative of 0*l**3 - 1/14*l**2 - z + 0*l + 1/28*l**4. Suppose a(h) = 0. What is h?
-1, 0, 1
Let d = -100720/3 - -33574. Suppose -2/3*y**5 + 2/3*y**4 - 4*y + 0 + 14/3*y**3 - d*y**2 = 0. What is y?
-2, -1, 0, 1, 3
Let t(b) be the first derivative of -50*b**3/33 - 27*b**2/11 - 4*b/11 - 380. Factor t(k).
-2*(k + 1)*(25*k + 2)/11
Let x(c) be the second derivative of c**7/504 + c**6/72 + c**5/36 + 5*c**3/6 + 8*c. Let s(b) be the second derivative of x(b). Factor s(k).
5*k*(k + 1)*(k + 2)/3
Suppose 11 = 2*w - 19 + 24. Factor -16/3 + 16/3*o**2 - 4/3*o**w - o**4 + 0*o + 1/3*o**5.
(o - 2)**3*(o + 1)*(o + 2)/3
Let k(x) be the second derivative of -4*x**2 - 11*x - 7/120*x**6 - 11/3*x**3 + 0 - 43/24*x**4 - 1/336*x**7 - 73/160*x**5. Factor k(d).
-(d + 1)**2*(d + 4)**3/8
Let l(b) be the first derivative of 7*b**5/5 - 13*b**4/2 + 13*b**3/3 + 3*b**2 + 284. Factor l(g).
g*(g - 3)*(g - 1)*(7*g + 2)
Factor t**2 + t**3 - 1/3*t**4 - 11/3*t + 2.
-(t - 3)*(t - 1)**2*(t + 2)/3
Let 30/7 - 3/7*x**2 + 9/7*x = 0. What is x?
-2, 5
Let l = 191948/863847 - -2/95983. Factor -4/9*v**2 - 4/9*v**3 + l*v + 2/9*v**5 + 2/9*v**4 + 2/9.
2*(v - 1)**2*(v + 1)**3/9
Let g(i) = -5*i**2 - 22*i - 10. Suppose 0*l + 5*l = -30. Let v(u) = 6*u**2 + 23*u + 9. Let k(h) = l*g(h) - 4*v(h). Factor k(t).
2*(t + 6)*(3*t + 2)
Let y(k) = 2*k**2 + 48 - 31 - 9*k - 3*k**2. Let l be y(-10). Determine j so that l*j - 4*j - 7*j**2 + 12 + 10*j**2 + 9*j = 0.
-2
Let k be (-980)/(-2200) - 4/88. Solve 6/5*s**4 - 6/5*s**2 + 0 - 4/5*s + 2/5*s**3 + k*s**5 = 0 for s.
-2, -1, 0, 1
Let s(o) be the second derivative of -9*o + 5/6*o**3 - 1/12*o**4 - 2*o**2 + 0. Let s(r) = 0. What is r?
1, 4
Let q(j) be the second derivative of 0*j**2 - j**3 + 0 - 7*j + 1/6*j**4. Factor q(k).
2*k*(k - 3)
Let d(o) be the first derivative of 2 + 2/15*o**3 + 0*o + 2/15*o**4 + 0*o**2. Factor d(s).
2*s**2*(4*s + 3)/15
Let s(v) be the first derivative of -1/24*v**3 + 1/4*v**2 + 5/8*v - 30. Let s(t) = 0. What is t?
-1, 5
Let u be (-7)/(-2)*(-20)/(-35). Factor 21*i**u - 40 - 9*i**3 + 21 - 15*i + 22.
-3*(i - 1)**2*(3*i - 1)
Let q(b) be the second derivative of b**4/12 - b**3/3 + b**2 + 28*b - 2. Let u = -5 - -3. Let k(n) = 3*n**2 - 9*n + 9. Let l(z) = u*k(z) + 9*q(z). Factor l(m).
3*m**2
Factor -9/4*h**3 + 0*h + 0 + 0*h**2 - 3/2*h**4 - 1/4*h**5.
-h**3*(h + 3)**2/4
Let f = -36457 - -36459. Let -6/5*a**4 - 6/5*a**3 - 18/5*a + 0 + 6*a**f = 0. Calculate a.
-3, 0, 1
Let i(z) be the first derivative of z**5/12 + 5*z**4/3 + 40*z**3/3 - 9*z**2/2 + 2. Let w(o) be the second derivative of i(o). Factor w(m).
5*(m + 4)**2
Let t(x) be the third derivative of x**8/224 - x**7/105 - x**6/240 + x**5/60 + 2*x**2 + 42*x. Factor t(b).
b**2*(b - 1)**2*(3*b + 2)/2
Let h(f) be the third derivative of f**6/600 + f**5/20 + 21*f**4/40 + 49*f**3/30 + f**2 + 14*f. Determine o, given that h(o) = 0.
-7, -1
Let j(i) be the third derivative of i**6/120 - i**5/60 - 5*i**4/12 - 4*i**3/3 + 12*i**2. Factor j(q).
(q - 4)*(q + 1)*(q + 2)
Suppose 17 = 2*a + 3*z, -4*a - z = 4*z - 29. Suppose d - 5*k + 3 = 9, -d = -k - 6. Factor a + 3*m**5 - 6*m + 1 - 9*m**4 + d*m**2 - 3*m + 1 + 6*m**3.
3*(m - 1)**4*(m + 1)
Let q(f) be the third derivative of -f**6/360 - f**5/60 - f**4/24 - 3*f**3 - 18*f**2. Let u(x) be the first derivative of q(x). Factor u(b).
-(b + 1)**2
Let z(n) be the third derivative of n**8/672 + n**7/140 - n**6/240 - 11*n**5/120 - n**4/4 - n**3/3 + 59*n**2. Factor z(u).
(u - 2)*(u + 1)**3*(u + 2)/2
Let v(c) = 16*c - 2. Let p be v(-3). Let q be 1*(8/p)/(7/(-70)). Determine y so that 2/5*y**4 + 26/5*y**2 + q - 24/5*y - 12/5*y**3 = 0.
1, 2
Let c(r) = 4*r**4 - 26*r**3 - r**2 + 20*r + 3. Let x(u) = -2*u**4 + 14*u**3 - 10*u - 2. Let v(h) = -6*c(h) - 11*x(h). Suppose v(b) = 0. Calculate b.
-2, 1
Suppose 6*w = -424 - 236. Let v be 10/6*(-132)/w. Determine j, given that -2/3*j + 4/9*j**3 + 0 - 10/9*j**v = 0.
-1/2, 0, 3
Factor 5*u**3 + 12*u**2 + 27*u**2 - 21*u**2 + 33*u + 17*u + 17*u**2.
5*u*(u + 2)*(u + 5)
Let n be (-3)/(-12) + 30/8. Let o(m) = -2*m + 36. Let v be o(15). Suppose 2*x**n + v*x**3 - x**3 + x**4 - 6*x**2 - 2*x**3 = 0. What is x?
-2, 0, 1
Find b such that -254 - 257 - 12*b + 439 + 4*b**2 = 0.
-3, 6
Let r(h) be the second derivative of h**8/6720 - h**7/840 - h**6/180 - 5*h**4/12 - 11*h. Let i(k) be the third derivative of r(k). Let i(l) = 0. What is l?
-1, 0, 4
Suppose 14/3*i**2 + 16/5*i + 8/5*i**3 + 0 + 2/15*i**4 = 0. What is i?
-8, -3, -1, 0
Let g(l) be the 