ine s so that i(s) = 0.
-2, -1, 1
Suppose 0 = 3*m - 8 - 4. Let y = 4 - m. Factor n**4 + n**4 - 2*n**2 + y*n**2.
2*n**2*(n - 1)*(n + 1)
Determine t so that 4/3 - 4/3*t - 1/3*t**2 + 1/3*t**3 = 0.
-2, 1, 2
Let u be -1 + 12/(-4) - -6. What is c in 0 - 1/2*c**u + 0*c + 1/2*c**3 = 0?
0, 1
Let a(w) be the second derivative of -w**5/30 + w**4/18 - 4*w. Factor a(m).
-2*m**2*(m - 1)/3
Determine b, given that 504/13*b**4 - 22/13*b - 4/13 + 32/13*b**2 + 354/13*b**3 = 0.
-1/3, -2/7, 1/4
Let j(h) be the second derivative of h**5/4 - 5*h**4/3 + 5*h**3/6 + 15*h**2 + 7*h. Factor j(m).
5*(m - 3)*(m - 2)*(m + 1)
Let q(n) be the first derivative of n**5/210 + n**4/28 + 2*n**3/21 - n**2 - 4. Let m(t) be the second derivative of q(t). Let m(c) = 0. What is c?
-2, -1
Let f be 4/(-3) - (-6 - -5 - 1). Factor -f*j**2 + 0 - 2/3*j.
-2*j*(j + 1)/3
Let s(w) be the second derivative of w**5/4 - 5*w**4/3 - 5*w**3/2 + 45*w**2 + 16*w. Let s(b) = 0. What is b?
-2, 3
Let o(l) be the third derivative of -1/672*l**8 - 7/120*l**6 + 2*l**2 + 0*l - 2/15*l**5 - 1/70*l**7 + 0 - 3/16*l**4 - 1/6*l**3. Find w such that o(w) = 0.
-2, -1
Let s(n) = -2*n**2 + 10*n + 13. Let m(k) = -k**2 + 9*k + 12. Let d(t) = -3*m(t) + 2*s(t). Let j be d(-4). What is c in 4/9 + 2/3*c + 2/9*c**j = 0?
-2, -1
Let 36*u**3 - 2*u**2 + 4 + 14*u - 27*u**2 - 18*u - 7*u**2 = 0. Calculate u.
-1/3, 1/3, 1
Suppose 0 = 25*m - 20*m. Solve 7/2*k**5 - k + m + 15/2*k**3 - 1/2*k**2 - 19/2*k**4 = 0.
-2/7, 0, 1
Let u(c) be the third derivative of -c**7/525 + c**6/50 + 22*c**2. Factor u(y).
-2*y**3*(y - 6)/5
Let d(v) = 4*v**2 + 8*v - 10. Let k(q) = -9*q**2 - 17*q + 21. Let x(j) = -10*d(j) - 4*k(j). Find m, given that x(m) = 0.
-4, 1
Let m(z) be the third derivative of -z**5/90 + z**4/18 + z**3/3 - 51*z**2. Factor m(d).
-2*(d - 3)*(d + 1)/3
Solve 49*z**3 + 55*z - 10 + 20*z**3 - 6*z**2 - 74*z**2 - 34*z**3 = 0.
2/7, 1
Let i be (-65)/(-10) + 1/(-2). Let h(k) = 2*k**2 - 2*k + 8. Let o(a) be the second derivative of -a**3/6 + a**2/2 - 2*a. Let m(p) = i*o(p) - h(p). Factor m(n).
-2*(n + 1)**2
Let f(m) be the third derivative of 1/84*m**6 - 5/84*m**4 + 3*m**2 + 1/105*m**5 + 0*m + 0 - 2/21*m**3. Factor f(d).
2*(d - 1)*(d + 1)*(5*d + 2)/7
Let j(x) be the first derivative of -4*x**3 - 39*x**2/2 - 9*x + 7. Determine n, given that j(n) = 0.
-3, -1/4
Let z = 36 + -34. Let r(k) be the second derivative of 5/12*k**3 + k - 1/2*k**z - 1/8*k**4 + 0. Let r(o) = 0. What is o?
2/3, 1
Suppose -5*u = -5, -3*h + 10 = -5*u - 0. Suppose -5 = -5*j + h. Solve 14/3*k**4 + 2/3*k**2 + 0*k - 10/3*k**3 - j*k**5 + 0 = 0 for k.
0, 1/3, 1
Let m = -711 + 1978. Find a such that 527*a**3 - 323*a**2 + 993*a**3 - 644*a**4 + 544*a + 86*a**2 + 98*a**5 - 64 - m*a**2 = 0.
2/7, 2
Let g(p) = -p**2. Let l(z) = -6*z + 9. Suppose -4*y - 5 = 3. Let u(t) = y*l(t) + 2*g(t). Factor u(d).
-2*(d - 3)**2
Factor 29/4*l**2 - 27/4*l**3 - 5/2*l + 1/4*l**5 + 7/4*l**4 + 0.
l*(l - 1)**3*(l + 10)/4
Let j(o) be the second derivative of o**7/42 + o**6/30 + 9*o. Factor j(b).
b**4*(b + 1)
Determine c so that -c + c + 4*c**2 + 5*c + 3*c = 0.
-2, 0
Let b(u) be the second derivative of 1/10*u**5 + 0*u**2 - 1/75*u**6 + 4/15*u**3 + u - 4/15*u**4 + 0. Factor b(i).
-2*i*(i - 2)**2*(i - 1)/5
Let j(u) be the third derivative of -u**6/120 + u**5/60 - 23*u**2. Suppose j(a) = 0. What is a?
0, 1
Let l be -1*(-1)/(-3)*0. Let x = 1 - l. Factor -3 - 2*h**4 + x + 4*h**4 + 4*h**3 - 4*h.
2*(h - 1)*(h + 1)**3
Let j(u) be the third derivative of -u**7/840 + u**5/40 + u**4/12 + 5*u**3/6 - 6*u**2. Let p(n) be the first derivative of j(n). Factor p(f).
-(f - 2)*(f + 1)**2
Find g such that -3/7*g**2 - 9/7 - 12/7*g = 0.
-3, -1
Let k(g) be the third derivative of 0*g + 1/75*g**5 - 1/150*g**6 + 4*g**2 + 1/1050*g**7 + 0*g**4 + 0 + 0*g**3. Let k(n) = 0. Calculate n.
0, 2
Let u(v) be the third derivative of v**6/120 + v**5/12 - v**4/4 + v**3/3 + v**2. Let h be u(-6). Factor -2*r**5 - 4*r**5 + h*r**3 + 5*r**5 - r.
-r*(r - 1)**2*(r + 1)**2
Let y(h) be the first derivative of h**6/6 - h**5/5 - h**4/4 + h**3/3 + 4. Let y(x) = 0. What is x?
-1, 0, 1
Let z(w) = 2*w**2 + 4*w + 2. Let k(a) = 1 - 3 - a**2 - 5*a**2 - 4*a + 4*a**2. Let p(g) = -7*k(g) - 6*z(g). Solve p(y) = 0 for y.
-1
Let v(r) = r**5 - 5*r**4 - r**3 + 2*r**2 + 3*r. Let k(b) = -3*b**5 + 11*b**4 + 3*b**3 - 4*b**2 - 7*b. Let t(w) = -6*k(w) - 14*v(w). Factor t(o).
4*o**2*(o - 1)*(o + 1)**2
Find r, given that -2/11*r**3 + 0 - 4/11*r + 6/11*r**2 = 0.
0, 1, 2
Let a = 216 + -216. Factor 0*k**2 + 2/5*k**4 + 2/5*k**3 + a*k + 0.
2*k**3*(k + 1)/5
Let f = -170 - -172. Factor -6/11*n + 0*n**f + 2/11*n**3 - 4/11.
2*(n - 2)*(n + 1)**2/11
Let o(y) be the third derivative of y**8/120 + 3*y**7/175 - 19*y**6/300 - 41*y**5/150 - 2*y**4/5 - 4*y**3/15 - 14*y**2. Find i, given that o(i) = 0.
-1, -2/7, 2
Let c(d) be the first derivative of -2*d**3/21 + 2*d**2/7 - 3. Factor c(o).
-2*o*(o - 2)/7
Let j(o) be the first derivative of -o**5/20 - o**4/16 - 10. Factor j(t).
-t**3*(t + 1)/4
Let n be (-4)/(-14) + 36/21. Factor 3 + 2*s + 6*s**3 + 6*s**n - 14*s + 3*s - 9*s**4 + 3*s**5.
3*(s - 1)**4*(s + 1)
Let q = 15 - -52. Let w = 336/5 - q. Solve -1/5 - w*r**2 - 2/5*r = 0.
-1
Suppose -u + 4 = 3*u - y, 4 = -3*u - y. Suppose 9*t - 11*t - 4*p = -8, -2*p = -4. Find o such that u*o**2 + 0 + 2/9*o**3 + t*o - 2/9*o**4 = 0.
0, 1
Let n(s) be the first derivative of -s - 2/3*s**2 - 1/9*s**3 + 4. Determine y, given that n(y) = 0.
-3, -1
Suppose -9*i + 4*i = -10. Determine g, given that -g + 2*g**2 + 0*g**i - g = 0.
0, 1
Let m(i) be the third derivative of -1/3*i**3 - i**2 + 1/210*i**7 - 1/8*i**4 + 0 + 1/40*i**6 + 0*i + 1/60*i**5. Find a such that m(a) = 0.
-2, -1, 1
Let r = 14 + -12. Let -19*n**2 + 3*n + n + 168*n**5 + 45*n**3 - 27*n**r - 314*n**4 + 143*n**3 = 0. What is n?
0, 1/4, 2/7, 1/3, 1
Let n(l) be the first derivative of -4*l**5/25 + 3*l**4/10 + 2*l**3/5 - 2*l**2/5 + 15. Determine z, given that n(z) = 0.
-1, 0, 1/2, 2
Suppose 0 = 3*s + 2*s - 90. Let n be ((-3)/s)/((-1)/64). Factor 14/3*i + 8/3*i**5 - 38/3*i**2 + 50/3*i**3 - 2/3 - n*i**4.
2*(i - 1)**3*(2*i - 1)**2/3
Let b(y) be the third derivative of -y**7/315 - y**6/135 + y**5/135 + y**4/27 + y**3/27 + 10*y**2. Suppose b(v) = 0. Calculate v.
-1, -1/3, 1
Let l(u) be the first derivative of u**6/480 + u**5/120 + u**4/96 - 2*u**2 - 2. Let d(h) be the second derivative of l(h). Factor d(n).
n*(n + 1)**2/4
Let y(s) = 6*s**3 - 2*s**2 + 1. Let t be y(1). Suppose t*m = -3*m. Factor 2/3*a**2 + m + 0*a.
2*a**2/3
Factor 0*q**2 + 0*q**4 + 0*q + 0 + 1/7*q**5 - 1/7*q**3.
q**3*(q - 1)*(q + 1)/7
Let a(v) be the first derivative of v**3 - 4*v**2 - 11*v - 1. Let m(i) = -2*i**2 + 4*i + 6. Let y(j) = 4*a(j) + 7*m(j). Factor y(c).
-2*(c + 1)**2
Let k(m) be the first derivative of -m**8/3360 - m**7/840 - m**6/720 + m**3 + 1. Let i(w) be the third derivative of k(w). Find c, given that i(c) = 0.
-1, 0
Suppose 5*i + 2*r = 0, 0 = -3*i + 2*r + 3*r + 31. Let k(l) = l**3 - 3*l**2 - 5*l + 9. Let m be k(4). Factor m*n**i - 3*n**2 - n**3 - n + 0*n.
-n*(n - 1)**2
Let p(f) be the third derivative of f**6/24 + f**5/5 + 3*f**4/8 + f**3/3 + 8*f**2. Find i such that p(i) = 0.
-1, -2/5
Suppose 0 = -3*w + 4*w - 3. Factor 28 - 26 - z - 4*z**2 + w*z.
-2*(z - 1)*(2*z + 1)
Factor 0*d - 1/3*d**3 - d**2 + 4/3.
-(d - 1)*(d + 2)**2/3
Let z(j) be the second derivative of j**4/18 + j**3/9 - 2*j**2/3 - 22*j. Factor z(y).
2*(y - 1)*(y + 2)/3
Factor -3*u**2 - 2*u**2 - 3*u + 6 + 2*u**2.
-3*(u - 1)*(u + 2)
Find q such that 0*q - 2/13*q**5 + 6/13*q**4 - 6/13*q**3 + 2/13*q**2 + 0 = 0.
0, 1
Let s(z) = -2*z + 9. Let q be s(6). Let p(c) = -c**2 - 4*c + 1. Let o be p(q). Find h, given that -16/3 + 8*h - o*h**2 + 2/3*h**3 = 0.
2
Let t(o) = o + 40. Let l be t(-37). Factor 2/7*y**4 + 0 + 6/7*y + 2/7*y**l - 10/7*y**2.
2*y*(y - 1)**2*(y + 3)/7
Suppose 0*s**3 - 5 + 6 - 5 - 2*s**3 + 4*s**2 + 2*s = 0. Calculate s.
-1, 1, 2
Let h = -4 + 4. Suppose r + 3*i + h*i - 12 = 0, 4*r + 8 = 2*i. What is a in -2/3*a**4 + r + 2/3*a + 2/3*a**2 - 2/3*a**3 = 0?
-1, 0, 1
Let a be (16/10)/(12/30). Let y(m) = -12. Let g(z) = z**2 - z - 11. Let i(f) = a*g(f) - 3*y(f). Determine k, given that i(k) = 0.
-1, 2
What is j in -2*j - j**3 - 1/6*j**4 - 2/3 - 13/6*j**2 = 0?
-2, -1
Suppose 4*k - 3*u = -12 + 132, -2*k = -4*u - 60. Let d be (-5)/k - (-