ve m(x) = 0 for x.
0, 2
Let l(q) be the third derivative of q**10/226800 - q**9/90720 + q**5/15 - q**2. Let x(b) be the third derivative of l(b). Factor x(z).
2*z**3*(z - 1)/3
Let u = -3 - -3. Solve -3*g**2 - 3*g + 4*g**2 + 2 + u*g = 0.
1, 2
Let d = 19 + -11. Factor 8 - d - 6*c**2 - 2*c**3.
-2*c**2*(c + 3)
Factor -1/3*m**4 + 0 - 1/3*m**3 + 0*m + 0*m**2.
-m**3*(m + 1)/3
Let z(y) be the second derivative of y**6/60 + y**5/40 - y**4/8 - y**3/12 + y**2/2 - 6*y. Factor z(a).
(a - 1)**2*(a + 1)*(a + 2)/2
Let k(j) be the first derivative of -j**5/5 + 3*j**4/4 - j**3 + j**2/2 + 4. Find f such that k(f) = 0.
0, 1
Let u(t) be the first derivative of -5*t**3/3 + 45*t**2/2 - 40*t - 26. Factor u(s).
-5*(s - 8)*(s - 1)
Let q(h) be the second derivative of -h**3/3 + 2*h**2 - 5*h. Let o(g) = -g**3 + g**2 - 2*g + 5. Let d(z) = 2*o(z) - 3*q(z). Factor d(v).
-2*(v - 1)**2*(v + 1)
Let s be 16/40 + (-7)/(-35). Factor -s*j**2 + 0 + 0*j.
-3*j**2/5
Solve -3/2*s + 15/2*s**4 + 27/2*s**2 + 39/2*s**3 - 3 = 0.
-1, 2/5
Let s = -760 + 762. Determine b, given that -1/3*b**s + 0*b + 1/3*b**3 + 0 = 0.
0, 1
Suppose 3*a - 15 = 0, 5*a - a = -5*d + 125. Suppose d*h**3 - 21*h**3 - 3*h**2 + 3*h**4 = 0. Calculate h.
-1, 0, 1
Suppose 0 = -i + 2 - 0. Factor 4 + 7*s + 3*s - 8*s**i + 2*s**2 - 8*s**2.
-2*(s - 1)*(7*s + 2)
Let t(m) = -m**2 - 10*m. Let l(y) = -6*y - 4. Let j(s) = 5*s + 3. Let h(q) = -4*j(q) - 3*l(q). Let a = 0 - -2. Let o(p) = a*t(p) - 9*h(p). Solve o(k) = 0 for k.
-1, 0
Let w(x) be the second derivative of -1/60*x**4 + 0 + 1/10*x**2 - x + 0*x**3. Factor w(f).
-(f - 1)*(f + 1)/5
Let l be (6/27 + (-16)/(-9))*1. Factor -1/2*r**3 - 1/2*r + 0 - r**l.
-r*(r + 1)**2/2
Let c be -18*(-2)/4*-1. Let s be c/(-12) + (-1)/4. Factor 1/4 - s*d + 1/4*d**2.
(d - 1)**2/4
Factor 4/5*v + 2/5*v**2 + 0.
2*v*(v + 2)/5
Let f(h) be the first derivative of 1/6*h**6 + 3/5*h**5 + 1/3*h**3 + 0*h**2 + 3/4*h**4 - 2*h - 1. Let i(y) be the first derivative of f(y). Factor i(d).
d*(d + 1)**2*(5*d + 2)
Let k = 1/10 - -2/5. Let q be (0 - -2) + 2/4. Factor k*r + 0 + q*r**2 + 2*r**3.
r*(r + 1)*(4*r + 1)/2
Let z(d) = -d + 2. Let x be z(3). Let t be 2/(x*6/(-9)). Factor -k + 0*k**2 - 1/2 + k**t + 1/2*k**4.
(k - 1)*(k + 1)**3/2
Let a(r) = 4*r**3 + r - 1. Let p be a(1). Suppose -2*n + 6 = p*i, -2*i - 3*i + 12 = n. Factor 9/2*y**4 + 0 + 0*y - i*y**3 + 1/2*y**2.
y**2*(3*y - 1)**2/2
Let f = -4 + 11. Let p = -5 + f. Suppose 2*c**p + 3*c**2 - 3*c**2 + 0*c**2 - 2*c = 0. Calculate c.
0, 1
Let n(m) be the second derivative of -2*m**5/35 + 5*m**4/42 - m**3/21 - 5*m. Find c, given that n(c) = 0.
0, 1/4, 1
Let h be 57/(-30) - (-5)/20. Let q = h + 32/5. What is j in 2*j - q*j**3 - 55/4*j**4 - 1 + 23/4*j**2 - 25/4*j**5 = 0?
-1, 2/5
Let s(p) be the second derivative of 5*p**7/42 + p**6 + 13*p**5/4 + 5*p**4 + 10*p**3/3 - 17*p. Factor s(o).
5*o*(o + 1)**2*(o + 2)**2
Let j(a) be the second derivative of a**4/8 - a**3/2 + 3*a**2/4 - 7*a. Suppose j(s) = 0. What is s?
1
Suppose 2*b - 9 = -b. Factor -8*i**2 - 7*i**2 - 12*i + 3*i**2 - b*i**3.
-3*i*(i + 2)**2
Let a = 126 - 503/4. Factor -1/4*v**3 + 0*v + 0 + 1/4*v**4 + a*v**5 - 1/4*v**2.
v**2*(v - 1)*(v + 1)**2/4
Let 2/11*c**2 + 4/11 + 6/11*c = 0. What is c?
-2, -1
Factor 11/3*y**2 + 0 - 2*y**3 - 2*y + 1/3*y**4.
y*(y - 3)*(y - 2)*(y - 1)/3
Let c(p) be the second derivative of -1/9*p**3 + 0*p**2 + 1/18*p**4 + p + 0. Factor c(n).
2*n*(n - 1)/3
Let k(q) be the third derivative of q**5/210 - q**4/28 - 13*q**2. Suppose k(b) = 0. What is b?
0, 3
Suppose 5*o = 34*v - 38*v, 2*o = 5*v. Suppose o + 1/2*x**2 - 1/2*x = 0. Calculate x.
0, 1
Let p(w) be the second derivative of 2*w**6/45 - 4*w**5/15 + w**4/3 + 8*w**3/9 - 8*w**2/3 + 14*w. Find j, given that p(j) = 0.
-1, 1, 2
Let f be 6/15 - 8043/(-35). Let o = -229 + f. Factor -o*u**2 - 2/5*u**4 - 6/5*u**3 + 0 - 2/5*u.
-2*u*(u + 1)**3/5
Suppose -9*g**3 - 10 - 8 + 4*g**2 + 48*g**2 - 7*g - 62*g = 0. What is g?
-2/9, 3
Factor 1/5*w**4 + 1/5*w**3 + 0*w - 6/5*w**2 + 0.
w**2*(w - 2)*(w + 3)/5
Let j = 186 + -182. Factor 0 - 1/2*k**j - k + 1/2*k**2 + k**3.
-k*(k - 2)*(k - 1)*(k + 1)/2
Factor -3/5*s**3 + 0*s**2 + 0 + 0*s + 3/5*s**4.
3*s**3*(s - 1)/5
Let s(i) be the second derivative of -i**6/1080 + i**5/180 - i**4/72 - i**3/2 - 4*i. Let x(n) be the second derivative of s(n). Find k, given that x(k) = 0.
1
Let o(r) = -25*r**2 - 32*r - 41. Let b(l) = -3*l**2 - 4*l - 5. Let x(z) = -51*b(z) + 6*o(z). What is i in x(i) = 0?
-3, -1
Let s(x) be the second derivative of x**7/84 - x**6/20 + x**5/20 + x**4/12 - x**3/4 + x**2/4 - 12*x. Factor s(g).
(g - 1)**4*(g + 1)/2
Suppose 2*f + 2*g - 10 = 4, -2*f = -2*g + 2. Find r such that r**4 + 0*r**4 - f*r**4 - 7*r**5 + 0*r**4 = 0.
-2/7, 0
Suppose -2*g = -6*g + 8. Let f**2 - 4*f**2 - 2*f**2 + 5*f + g*f - 2 = 0. Calculate f.
2/5, 1
Let z(c) = -5*c**4 + 20*c**3 + 70*c**2 - 250*c + 175. Let m(v) = -5*v**4 + 19*v**3 + 69*v**2 - 251*v + 176. Let b(s) = -5*m(s) + 4*z(s). Factor b(g).
5*(g - 3)**2*(g - 1)*(g + 4)
Let t(s) be the second derivative of -s**5/10 - 7*s**4/6 - 5*s**3 - 9*s**2 - 7*s. Let t(a) = 0. What is a?
-3, -1
Let q(m) = 2*m**2 + 10*m. Let y(u) be the third derivative of -u**5/15 - 7*u**4/8 + u**2. Let p(b) = -13*q(b) - 6*y(b). Factor p(z).
-2*z*(z + 2)
Suppose m + 1 - 3 = 0. Factor m*a - 1 + 1 - 10*a**3 + 3*a**3 + 5*a**2.
-a*(a - 1)*(7*a + 2)
Let s(c) = c**5 - c**4 + c**2 - c. Let o(h) = -2*h**5 + 7*h**4 + 5*h**3 - h**2 + 3*h. Let b(w) = -o(w) - 3*s(w). Suppose b(u) = 0. What is u?
-2, -1, 0
Let z(m) be the first derivative of -m**4/6 - 14*m**3/9 - 5*m**2 - 6*m - 12. Find g such that z(g) = 0.
-3, -1
Let r be 3 + -6 - -5 - -1. Let i(q) be the third derivative of 0*q**5 - q**2 + 1/72*q**4 + 0 + 0*q**r - 1/360*q**6 + 0*q. Solve i(f) = 0 for f.
-1, 0, 1
Factor 0 + 2/5*q**4 - 2/5*q**2 + 2/5*q**3 - 2/5*q.
2*q*(q - 1)*(q + 1)**2/5
Let k be (-24)/(-10) - 2 - 1/(-10). Factor -1/2*p + k*p**5 + 0 - p**4 + p**2 + 0*p**3.
p*(p - 1)**3*(p + 1)/2
Suppose 3*z - 8 = -2. Let d be -5 - (100/(-15) + 0). What is h in 2/3 + 1/3*h**z - d*h - h**4 + 5/3*h**3 = 0?
-1, 2/3, 1
Let f(j) be the second derivative of -j**4/6 + 8*j**3/3 - 16*j**2 - 39*j. Suppose f(h) = 0. Calculate h.
4
Let s(a) = -15*a**2 + 15. Suppose 2*b + 4 = 4*b. Let y(v) = -3*v**b - v**2 + 3 + 1. Let i(x) = 6*s(x) - 22*y(x). Determine n so that i(n) = 0.
-1, 1
Suppose 2*f = u - 2*f - 22, -31 = -3*u + 5*f. Suppose i + y = -0*y, i + 2 = -u*y. Factor -4 + 10*m**2 + 8*m**i + 10*m - 4*m**2.
2*(m + 1)*(7*m - 2)
Let v(r) be the third derivative of 0*r - 1/12*r**4 + 0 - 1/20*r**6 - 2*r**2 + 1/105*r**7 + 0*r**3 + 1/10*r**5. Find l such that v(l) = 0.
0, 1
Let q be 4/(-3) - (-135)/81. Determine p, given that -2/3 - q*p + 1/3*p**2 = 0.
-1, 2
Suppose 4*s + 3*d - 7 = 0, 3*d = -s - d - 8. Determine p, given that -4*p**2 + p**s + 6*p**2 - 3*p**4 = 0.
-1, 0, 1
Let r = 14 - 11. Let l(j) be the second derivative of 1/21*j**7 + 0*j**r + 0 + j + 1/10*j**5 - 2/15*j**6 + 0*j**4 + 0*j**2. Factor l(f).
2*f**3*(f - 1)**2
Let l = 39/100 + 1/100. Factor -4/5*b + l*b**2 + 2/5.
2*(b - 1)**2/5
Let v(z) = 4*z**4 + z**3 + 2*z. Let w(a) = 1 - 20*a**4 - 1 + 3*a + 23*a**4. Let k(s) = -3*v(s) + 2*w(s). Factor k(i).
-3*i**3*(2*i + 1)
Let c = -50447/408 - -371/3. Let u = c + 473/136. Find t such that t**2 - 7/2*t + u*t**3 - 1 = 0.
-1, -2/7, 1
Let h(t) be the third derivative of -t**8/112 + t**7/70 + t**6/20 + 2*t**2. Factor h(n).
-3*n**3*(n - 2)*(n + 1)
Let g(j) be the first derivative of -1/30*j**4 - 3 + 1/15*j**3 - 1/50*j**5 + j + 1/75*j**6 + 0*j**2. Let h(u) be the first derivative of g(u). Factor h(w).
2*w*(w - 1)**2*(w + 1)/5
Suppose 0 + 2/3*v**2 - 1/3*v = 0. Calculate v.
0, 1/2
Let d(s) be the first derivative of 2/9*s**3 + 0*s**2 - 2/15*s**5 + 5 - 1/9*s**6 + 1/6*s**4 + 0*s. Find t such that d(t) = 0.
-1, 0, 1
Let l(z) be the third derivative of 3/200*z**6 + 2/175*z**7 + 0*z**3 + 0 + 1/150*z**5 + 1/336*z**8 + 0*z - 3*z**2 + 0*z**4. Factor l(b).
b**2*(b + 1)**2*(5*b + 2)/5
Let c(z) = -z**3 - 3*z**2 - z - 1. Let t be c(-3). Let p be ((-13)/(-4) + -3)*t. Factor 0 + 1/4*l**2 - p*l.
l*(l - 2)/4
Factor -3*b**3 - 3/2 + b**2 + 5/2*b + 1/2*b**5 + 1/2*b**4.
(b - 1)**3*(b + 1)*(b + 3)/2
Let i(p) = -p**2 + 5*p - 4. Let d(r) = -3*r**2 + 11*r - 8. Let b(v) = 3*d(v) - 5*i(v). Factor b(q).
-4*(q - 1)**2
Let p be -1*(3 