, 0
Suppose -4 = -3*o + o + 3*t, 3*o = t - 1. Let c be (-6)/(3/o - 2). What is z in -18/5*z**3 + 9/5*z + 9/5*z**5 - 3/5*z**4 + c*z**2 - 3/5 = 0?
-1, 1/3, 1
Let p(t) be the third derivative of t**5/12 - 5*t**4/6 + 10*t**3/3 - 19*t**2. Factor p(v).
5*(v - 2)**2
Let v(h) be the first derivative of -h**4/30 - h**3/15 + 2*h**2/5 + 8*h + 7. Let a(l) be the first derivative of v(l). Factor a(m).
-2*(m - 1)*(m + 2)/5
Find i, given that 30 + 5*i**2 - 13*i - 24*i - 15*i + 27*i = 0.
2, 3
Suppose -g = 2*s - 3, -36*g = 3*s - 38*g - 15. Let 32/5*q**2 + 6/5*q + 8/5*q**4 + 6*q**s - 4/5 = 0. What is q?
-2, -1, 1/4
Let h(b) = -8*b**4 - 8*b**3 - 8*b**2 + 8*b + 12. Let l(w) = -w**4 + w**3 - w**2 - w + 1. Let r(t) = -h(t) + 4*l(t). Factor r(j).
4*(j - 1)*(j + 1)**2*(j + 2)
Let a(c) be the second derivative of c**5/190 - 2*c**4/57 - 11*c**3/57 - 6*c**2/19 - 43*c. Factor a(q).
2*(q - 6)*(q + 1)**2/19
Suppose 15 = 4*u - u. Find g such that -9*g**3 + 0*g - g**2 - 2*g - g**u - 5*g**4 - 5*g**2 - g**2 = 0.
-2, -1, 0
Let y(s) = s - 9. Let u be y(11). Factor -4/3*b - 2/9*b**2 - u.
-2*(b + 3)**2/9
Factor -w - 2*w**2 + 2 + 2*w**3 - 4*w**2 - w + 4*w**2.
2*(w - 1)**2*(w + 1)
Let c(y) = y**2 + 16*y - 8. Let b(w) be the second derivative of w**4/4 + 11*w**3/2 - 15*w**2/2 + 3*w. Let m(g) = -4*b(g) + 9*c(g). Factor m(k).
-3*(k - 2)**2
Let f(c) be the third derivative of 0 + 1/18*c**4 + 3*c**2 + 0*c**3 - 1/90*c**5 + 0*c. Factor f(q).
-2*q*(q - 2)/3
Let z(x) be the first derivative of 2*x**3/45 + 8*x**2/15 + 8*x/5 - 35. Suppose z(p) = 0. What is p?
-6, -2
Let m(n) be the first derivative of n**4/2 + 26*n**3/3 - 29*n**2 + 30*n - 32. Factor m(g).
2*(g - 1)**2*(g + 15)
Let s be (4/(-5))/(4/(-50)). Let o = s - 7. Determine z, given that 0*z + 2*z - 5 + 46*z**2 + 40*z**o + 1 = 0.
-1, -2/5, 1/4
Suppose -3*w = w - 4. Let d = w + 1. Solve 1/2*f + 1/2*f**d + 0 = 0 for f.
-1, 0
Let o(s) be the first derivative of 2*s**3/33 - 4*s**2/11 + 14. Determine i, given that o(i) = 0.
0, 4
Let j = -1129 + 5649/5. Factor 1/5*u**2 - j*u + 4/5.
(u - 2)**2/5
Let u(f) be the second derivative of f**6/15 - f**5/5 + f**4/6 - 5*f. Find r, given that u(r) = 0.
0, 1
Let i be ((-12)/9)/(3/(-9)). Factor 26*q**i - q + q**5 + 3*q - q**3 + q**2 - 27*q**4 - 2*q**3.
q*(q - 2)*(q - 1)*(q + 1)**2
Let z(l) = -5*l**5 + 6*l**4 - 9*l**3 + 4*l**2 - 6*l + 6. Let f(s) = -6*s**5 + 7*s**4 - 10*s**3 + 5*s**2 - 7*s + 7. Let j(a) = -6*f(a) + 7*z(a). Factor j(v).
v**2*(v - 2)*(v + 1)**2
Let l(b) be the second derivative of 1/8820*b**7 + 0 + 1/6*b**4 + 0*b**3 + b + 0*b**5 + 0*b**6 + 0*b**2. Let g(q) be the third derivative of l(q). Factor g(z).
2*z**2/7
Factor 9/5 + 49/5*k**2 + 42/5*k.
(7*k + 3)**2/5
Let b(y) be the second derivative of -5*y**4/12 + 20*y**3/3 - 35*y**2/2 - 7*y. Factor b(k).
-5*(k - 7)*(k - 1)
Let i(z) be the third derivative of 2/3*z**3 - z**2 + 0 + 0*z - 5/6*z**4 + 5/12*z**5. Let i(l) = 0. Calculate l.
2/5
Let h = -7511/81120 + 16/169. Let l(k) be the third derivative of 0 + 0*k**3 - h*k**6 + 0*k**5 - 1/840*k**7 + 4*k**2 + 0*k**4 + 0*k. Solve l(d) = 0 for d.
-1, 0
Suppose 0 = 4*g - 0*g + 16, -g = 5*t + 4. Suppose 2/7*v**3 + 1/7*v**4 - 1/7 - 2/7*v + t*v**2 = 0. What is v?
-1, 1
Let z = 594128/22095 + -2/2455. Let g = z + -80/3. Determine n so that 0 + 8/9*n**5 - 10/9*n**4 - g*n + 10/9*n**2 - 2/3*n**3 = 0.
-1, 0, 1/4, 1
Let f(o) be the third derivative of 1/210*o**5 + 2*o**2 + 0*o - 1/42*o**4 + 0 + 0*o**3. Factor f(w).
2*w*(w - 2)/7
Let u(q) be the first derivative of -q**6/3 + 28*q**5/15 - 61*q**4/18 + 56*q**3/27 - 4*q**2/9 + 1. Factor u(l).
-2*l*(l - 2)**2*(3*l - 1)**2/9
Suppose 0 = -29*z + 22*z + 14. Factor 2/3 + 0*n - 2/3*n**z.
-2*(n - 1)*(n + 1)/3
Let j(s) be the first derivative of 2 + 0*s**2 - 2/27*s**3 + 0*s. Let j(u) = 0. Calculate u.
0
Let m(j) be the third derivative of j**8/840 + 2*j**7/175 + 13*j**6/300 + 2*j**5/25 + j**4/15 + 29*j**2. Let m(c) = 0. What is c?
-2, -1, 0
Let j(i) be the first derivative of -2*i**5/5 + 7*i**4/8 + i**3/3 - 12. Find f, given that j(f) = 0.
-1/4, 0, 2
Let s = -24/161 + 10/23. Find p, given that 0 + 0*p**3 - 2/7*p**4 + 0*p + s*p**2 = 0.
-1, 0, 1
Let d(t) = -t + 1. Let s(k) = -k**2 - 8*k + 6. Let b(j) = -4*d(j) + s(j). Let h be b(-4). Factor -3/4*i - 1/2 - 1/4*i**h.
-(i + 1)*(i + 2)/4
Let m(b) be the first derivative of -5*b**3/3 + 17*b**2/2 - 6*b - 1. Factor m(q).
-(q - 3)*(5*q - 2)
Let q(y) be the first derivative of -y**3/24 - y**2/8 - y/8 + 11. Find i, given that q(i) = 0.
-1
Suppose -4/3 - 1/3*r**2 - 4/3*r = 0. Calculate r.
-2
Let v(j) = -7*j**2 + 8*j - 13. Let l = -3 + 0. Let y(k) = 4*k**2 - 4*k + 7. Let m(u) = l*v(u) - 5*y(u). Factor m(b).
(b - 2)**2
Let z(g) be the third derivative of 3*g**2 - 1/24*g**5 + 0*g + 1/9*g**3 - 1/144*g**6 + 0*g**4 + 1/84*g**7 + 0 + 1/224*g**8. Factor z(t).
(t + 1)**3*(3*t - 2)**2/6
Let d(b) be the second derivative of -2*b**5/115 + b**4/46 + b**3/69 + b. What is a in d(a) = 0?
-1/4, 0, 1
Let i(k) be the second derivative of k**5/12 + 5*k**4/36 + 8*k. Suppose i(c) = 0. What is c?
-1, 0
Suppose -8 + 14 = 3*w. Suppose -w*t - 3 = -3*t. Suppose -7/5*a**4 - a**2 + 1/5*a + 9/5*a**t + 0 + 2/5*a**5 = 0. Calculate a.
0, 1/2, 1
Let s be 2 + 493/(-300) + 1/(-3). Let k(t) be the third derivative of 0 - s*t**6 - 1/75*t**5 + 0*t - 3*t**2 + 7/60*t**4 + 2/15*t**3. Factor k(l).
-2*(l - 1)*(l + 1)*(7*l + 2)/5
Let b = 96/7 - 281/21. Let -1/3*p**5 + 1/3 - b*p + 2/3*p**3 + 1/3*p**4 - 2/3*p**2 = 0. Calculate p.
-1, 1
Let t(s) be the third derivative of -1/75*s**5 + 0*s**4 - 1/300*s**6 + 2*s**2 + 0*s**3 + 0 + 0*s. Factor t(q).
-2*q**2*(q + 2)/5
Find f, given that 0 + 2*f**5 - 1/3*f**2 - 11/3*f**4 + 0*f + 2*f**3 = 0.
0, 1/3, 1/2, 1
Let o(b) = b**3 - 8*b**2 - b + 8. Let j be o(8). Factor 1/2*r**3 - 3/2*r + j*r**2 - 1.
(r - 2)*(r + 1)**2/2
Determine q, given that -4/3*q + 4/3*q**3 + 0 + 0*q**2 = 0.
-1, 0, 1
What is b in 4*b**2 + 0*b**2 + 0*b**2 - 8*b - 4*b**4 + 3*b**3 + 5*b**3 = 0?
-1, 0, 1, 2
Let r be ((-8)/2)/2*(-4)/36. Solve 0*i**3 + 2/9*i**4 - 4/9*i**2 + r + 0*i = 0.
-1, 1
Let c(h) = 5*h**2 - 4*h - 4*h**2 + h**2 - 1 - h**2. Let j be c(5). Determine g so that 0*g**2 - 4/7*g**3 - 2/7*g**j + 2/7 + 4/7*g = 0.
-1, 1
Factor -10*c**3 + 2*c**5 + 4*c**3 - 4*c**2 + 6*c - 6*c.
2*c**2*(c - 2)*(c + 1)**2
Let m(g) be the first derivative of -g**6/12 + g**5/10 + g**4/8 - g**3/6 + 48. Let m(n) = 0. Calculate n.
-1, 0, 1
Let b(r) be the first derivative of r**6/180 + r**5/30 + r**4/12 + 2*r**3/3 - 3. Let c(w) be the third derivative of b(w). Factor c(h).
2*(h + 1)**2
Suppose -8*d - 62 + 6 = 0. Let w be ((-68)/(-119))/((-2)/d). Factor -4/3 + 4/3*r - 1/3*r**w.
-(r - 2)**2/3
Suppose 5*k = s + k + 20, 0 = -4*s - 5*k + 25. Let b(q) be the third derivative of s + 2*q**2 + 1/180*q**6 + 0*q + 0*q**4 + 0*q**3 + 0*q**5. Factor b(x).
2*x**3/3
Let x(m) be the first derivative of 6 + 0*m - 1/6*m**3 + 1/8*m**4 - 1/4*m**2 + 1/10*m**5. What is o in x(o) = 0?
-1, 0, 1
Let y(u) be the second derivative of -u**6/240 + u**5/32 - u**4/12 + u**3/12 + 12*u. Solve y(l) = 0 for l.
0, 1, 2
Let u(x) be the first derivative of 2/3*x**3 + 0*x + 3 + 1/2*x**2 + 1/4*x**4. Find m, given that u(m) = 0.
-1, 0
Let s = 7 + -3. Factor s*y - 3 - y**4 + 8 - 3*y**3 - 5.
-y*(y - 1)*(y + 2)**2
Let m(j) be the first derivative of 0*j - 7 + 0*j**2 + 0*j**4 - 2/15*j**5 + 2/9*j**3. Factor m(i).
-2*i**2*(i - 1)*(i + 1)/3
Let m(l) be the second derivative of 4*l - 3/4*l**2 - 1/6*l**3 + 0 + 1/24*l**4. Let m(k) = 0. What is k?
-1, 3
Let r = -3 + 11. Let o = -5 + r. Factor 2*k**2 - 1 - o*k**2 + 0 - 3 - 4*k.
-(k + 2)**2
Let g(j) = 10*j**3 + 8*j**2 - 5*j - 3. Let f(l) = 9*l**3 + 8*l**2 - 6*l - 2. Suppose 3*x + 24 = -x. Let k(z) = x*f(z) + 5*g(z). Factor k(m).
-(m + 3)*(2*m - 1)**2
Suppose -l - 4*y + 23 = 2*l, 5*l - y = 23. Suppose 7 + l = 4*x. Solve 0*b**4 + b**3 + 5*b**2 - 3*b - 1 - 5*b**4 + b**4 + 2*b**x = 0.
-1, -1/4, 1
Factor 0 - 2/3*z**3 + 4/3*z**2 - 2/3*z.
-2*z*(z - 1)**2/3
Suppose 41 = 7*w + 6. Let s(t) be the second derivative of 1/56*t**7 + 1/8*t**3 + 0*t**6 + 0*t**2 + t - 3/40*t**w + 0*t**4 + 0. Factor s(q).
3*q*(q - 1)**2*(q + 1)**2/4
Factor -55*s**2 + 21*s**2 + 19*s**2 + 16*s**2 - 1.
(s - 1)*(s + 1)
Let z(a) = -a - 13. Let q(w) = 4*w - 1. Let k be q(-3). Let u be z(k). Let u*v + 0 - 1/4*v**3 + 1/2*v**2 = 0. Calculate v.
