s + 1)/3
Let p(n) = n**3 + 9*n**2 - n - 4. Let o be p(-9). Let l(m) = -m**3 - m**2 - m. Let s(h) = -2*h**3 - 11*h**2 - 14*h. Let g(y) = o*l(y) - s(y). Factor g(t).
-3*t*(t - 3)*(t + 1)
Suppose 0 = 5*s - 4*t - 14, -s + t + 0*t = -3. Suppose -b**2 + b**s + 6*b**3 - b**2 - 2*b = 0. Calculate b.
-1/2, 0, 2/3
Let j(l) be the third derivative of -1/15*l**5 + 0*l - 3*l**2 + 1/60*l**6 + 0 + 2/3*l**3 - 1/12*l**4. Suppose j(h) = 0. What is h?
-1, 1, 2
Let r(l) be the third derivative of -l**5/180 - l**4/72 + l**3/9 - 25*l**2. Factor r(d).
-(d - 1)*(d + 2)/3
Let c(i) be the second derivative of 2/5*i**2 + 1/30*i**4 + 0 - i + 1/5*i**3. Factor c(t).
2*(t + 1)*(t + 2)/5
Let s(w) be the third derivative of -w**5/60 + 5*w**4/24 + 5*w**3/6 - 2*w**2. Let k be s(5). Factor 0*z**2 + 0 - 1/2*z**3 + 0*z - 1/2*z**k + z**4.
-z**3*(z - 1)**2/2
Find g, given that -2*g**3 - 3*g**2 + 4*g**2 + 4*g + g**2 + 0*g**2 = 0.
-1, 0, 2
Let c be -2 + (8/(4 + -3))/2. Factor 2/5 + c*t + 8/5*t**2.
2*(t + 1)*(4*t + 1)/5
Let x(i) be the second derivative of 1/15*i**3 + 0 + 3*i + 1/10*i**5 + 2/5*i**2 - 4/15*i**4. Find d, given that x(d) = 0.
-2/5, 1
Let j(d) be the second derivative of d**6/120 - d**5/180 - d**4/24 + d**3/18 - d**2 - 4*d. Let n(g) be the first derivative of j(g). Solve n(s) = 0 for s.
-1, 1/3, 1
Suppose k + 2*u + 6 = -u, 3 = -2*k - 3*u. Suppose 0 = 2*v - 3*r - 39, v + k*v - 118 = -2*r. Factor -v + 10*s - s - 3*s**2 + 9*s.
-3*(s - 3)**2
Let s be 12/(-15)*((-50)/4)/5. Let -2/3*o**3 - 4/3 + 10/3*o + 2/3*o**4 - s*o**2 = 0. Calculate o.
-2, 1
Let q(h) = -2*h**2 - 8*h**2 + h**2 - 44 - 36*h. Let x(y) = -3*y**2 - 12*y - 15. Let w(j) = 6*q(j) - 17*x(j). Factor w(t).
-3*(t + 1)*(t + 3)
Let y be -6 + 4 - (-18)/(6/2). Let o(z) be the first derivative of 1/15*z**3 + 1/10*z**2 + 3 - 1/20*z**y - 1/25*z**5 + 0*z. Factor o(v).
-v*(v - 1)*(v + 1)**2/5
Let m(l) be the second derivative of -2*l**5/75 + l**4/60 - l**2/2 - 3*l. Let q(d) be the first derivative of m(d). Factor q(p).
-2*p*(4*p - 1)/5
Let j(k) be the third derivative of -1/900*k**6 - 1/150*k**5 + 0*k + 0*k**4 + 1/6*k**3 + 0 + 2*k**2. Let d(b) be the first derivative of j(b). Factor d(n).
-2*n*(n + 2)/5
Let t(g) be the first derivative of 0*g**2 + 1/3*g**6 + 6/5*g**5 + 0*g + 2 + 3/2*g**4 + 2/3*g**3. Find m, given that t(m) = 0.
-1, 0
Let c be -2*2/(-4) + 2. Suppose 2*a**2 + c*a**4 - a**4 - 5*a**4 + a**4 = 0. Calculate a.
-1, 0, 1
Let g = -11 + 17. Let u = 9 - g. Determine n, given that 6 + 21*n + u*n**2 - 13*n + n = 0.
-2, -1
Let v be ((-24)/(-30))/((-24)/(-20)). Factor m**3 + v*m**4 - 1/3*m + 0 + 0*m**2.
m*(m + 1)**2*(2*m - 1)/3
Let u be (2 - 3)*1*2. Let v be -2 - -1 - u - -1. Factor -2 + 3*k**v + 0*k**2 - k**2.
2*(k - 1)*(k + 1)
Let p(u) be the first derivative of u**6/6 - u**5/5 - u**4/4 + u**3/3 + 3. Factor p(i).
i**2*(i - 1)**2*(i + 1)
What is m in m**2 - 1/6*m**3 + 0 - 3/2*m = 0?
0, 3
Let v(s) be the second derivative of s**4/12 - s**3/3 + s**2 + 3*s. Let g be v(2). Factor -5 + 3*j**2 - 1 + 2 - 4*j - 4*j**g.
-(j + 2)**2
Let p(n) = 4*n - 18. Let z be p(5). Factor 6 + 2/3*l**z + 4*l.
2*(l + 3)**2/3
Let d be 4 - (5 - 4)*4. Factor -2/5*y**3 + d + 4/5*y**2 - 2/5*y.
-2*y*(y - 1)**2/5
Let g(n) = 2*n**2 + 6*n**3 - n**3 - 4*n**3 - n. Let f be g(-2). Find s such that 2*s**2 - f*s**3 + 4*s**2 - 4*s**2 = 0.
0, 1
Let -3*n**5 + 25*n**2 - 5*n + 10*n - 25*n**4 - 7*n**5 - 10*n**5 + 15*n**3 = 0. What is n?
-1, -1/4, 0, 1
Factor 12*d**3 + 0*d + 21/4*d**4 + 0 + 3*d**2.
3*d**2*(d + 2)*(7*d + 2)/4
Suppose 0 - 4/3*l**2 + 4/3*l**3 + 0*l = 0. Calculate l.
0, 1
Let r = 0 + 3. Determine z, given that 5*z**2 - z - 3*z**2 - r*z**2 + 0*z = 0.
-1, 0
Let r(a) be the third derivative of -a**8/672 - a**7/140 - a**6/80 - a**5/120 - 9*a**2. Find t such that r(t) = 0.
-1, 0
Let y(f) be the third derivative of 1/150*f**5 + 0*f**3 + 0 - f**2 + 0*f - 1/20*f**4. Suppose y(i) = 0. What is i?
0, 3
Let f(s) be the third derivative of s**7/420 + s**6/180 - 7*s**3/6 - 4*s**2. Let g(m) be the first derivative of f(m). Factor g(t).
2*t**2*(t + 1)
Let w(t) be the second derivative of -9/80*t**5 + 1/8*t**4 + 0 + 3*t + 0*t**2 + 0*t**3. Find v such that w(v) = 0.
0, 2/3
Let r be -3*(-3)/(-6)*-2. Let d(s) be the second derivative of 1/6*s**4 + 5/21*s**r - 2/7*s**2 + s + 0. Suppose d(g) = 0. What is g?
-1, 2/7
Let k(d) = -2*d**5 + 12*d**4 + 8*d**3 + 8*d**2 - 2*d - 4. Let u(h) = -h**5 + h**4 - h**3 - h - 1. Let r(w) = k(w) - 4*u(w). Determine c so that r(c) = 0.
-1, 0
Let d be 4/22 - (-268)/(-1232). Let m = 51/140 - d. Determine b so that 2/5*b + 2/5 - m*b**2 - 2/5*b**3 = 0.
-1, 1
Let f(u) be the third derivative of 1/21*u**7 - 2/3*u**3 + 7/60*u**6 - 1/10*u**5 + 0 - 7/12*u**4 + 0*u + 2*u**2. Factor f(w).
2*(w - 1)*(w + 1)**2*(5*w + 2)
Let s(p) be the second derivative of -p**7/147 + p**6/21 - p**5/10 + p**4/14 - 21*p. Factor s(x).
-2*x**2*(x - 3)*(x - 1)**2/7
Solve 8*t + 2 + 7/2*t**2 = 0 for t.
-2, -2/7
Let o(r) be the second derivative of r**6/225 - r**5/25 + 13*r**4/90 - 4*r**3/15 + 4*r**2/15 + 20*r. Solve o(h) = 0.
1, 2
Let t be 33 + -28 - (0 - 0). Let m(d) be the first derivative of 0*d**3 - 3 + 1/6*d**6 + 0*d + 0*d**t + 1/2*d**2 - 1/2*d**4. Let m(c) = 0. Calculate c.
-1, 0, 1
Let m(f) = -4*f**3 - 2*f**2 + 3*f - 3. Let v(g) = g**3 + g**2 - g + 1. Let y(z) = m(z) + 3*v(z). What is c in y(c) = 0?
0, 1
Suppose -5*j + 49 = -11. Let h = -8 + j. Factor -7/2*g**h + 23/2*g**3 + 13/2*g - 1 - 27/2*g**2.
-(g - 1)**3*(7*g - 2)/2
Let k be (-142)/168 + (-4)/(-24). Let j = k - -10/7. Factor -1/2*i**3 + 0 - j*i**4 + 1/2*i + 3/4*i**2.
-i*(i - 1)*(i + 1)*(3*i + 2)/4
Let j be 1/((-8)/(-18)) - 90/(-120). Let s(q) be the first derivative of -1 - 1/3*q**j - q - q**2. Factor s(p).
-(p + 1)**2
Let h(v) be the first derivative of 0*v - 3/2*v**2 - 3 + 1/24*v**4 + 1/240*v**5 + 1/6*v**3. Let m(z) be the second derivative of h(z). Factor m(g).
(g + 2)**2/4
Let d be (0/(-4))/(1/1). Suppose 11*t = 6*t. What is q in 0*q + d - 1/2*q**3 - 1/2*q**5 + q**4 + t*q**2 = 0?
0, 1
Let u(a) = -9*a**2 + 5*a + 9. Let d(s) = 2*s + 4*s**2 + 2*s**2 + 4 - 5*s**2 - 5*s**2. Let o(h) = 5*d(h) - 2*u(h). Find p such that o(p) = 0.
-1, 1
Let s(x) be the first derivative of 3 + x**4 - 8/3*x + 4*x**2 - 2/15*x**5 - 26/9*x**3. Determine n so that s(n) = 0.
1, 2
Let y(g) be the second derivative of -g**7/420 + 7*g**6/180 - g**5/4 + 3*g**4/4 + 5*g**3/6 + 2*g. Let b(c) be the second derivative of y(c). Factor b(f).
-2*(f - 3)**2*(f - 1)
Let k = -3 - -8. Factor 4*y + k - 1 + 2*y**2 - 4.
2*y*(y + 2)
Suppose -o - o = 4, 5*h - o - 17 = 0. Solve -k + 0*k**3 - k**2 - k**h - k**2 = 0 for k.
-1, 0
Suppose 5*h - 1 = 9. Let a = 0 + h. Factor 4*q**2 + q + a*q + 0*q - 2 + 1.
(q + 1)*(4*q - 1)
Let f(s) be the first derivative of -s**3/6 + 7*s**2/4 + 12. Let f(v) = 0. Calculate v.
0, 7
Let u be 1*3/(-7)*2/(-6). Let a(x) be the second derivative of 0 + 1/21*x**3 + 3*x + 1/147*x**7 + 1/105*x**6 + u*x**2 - 1/21*x**4 - 1/35*x**5. Factor a(o).
2*(o - 1)**2*(o + 1)**3/7
Factor 2*f**4 + 2*f**2 - 2*f**2 + 2*f**2 - 4*f**3.
2*f**2*(f - 1)**2
Factor 15*y**3 - 21*y**4 + 3*y**5 - 12 - 21*y**2 - 54*y**2 + 42*y**3 + 0*y**2 + 48*y.
3*(y - 2)**2*(y - 1)**3
Let d(h) be the third derivative of 0 + 2*h**2 - 1/6*h**3 + 1/24*h**4 + 0*h - 1/120*h**6 + 1/60*h**5. Factor d(z).
-(z - 1)**2*(z + 1)
Let o be (-289)/170 + 25/10. Factor 0 - 6/5*v**2 + 0*v**3 + 2/5*v**4 + o*v.
2*v*(v - 1)**2*(v + 2)/5
Factor -10/9*r**2 - 14/9 - 2/9*r**3 + 26/9*r.
-2*(r - 1)**2*(r + 7)/9
Let h(a) be the third derivative of -a**6/240 + a**5/20 - a**4/4 + 2*a**3/3 - 10*a**2. Solve h(j) = 0.
2
Let c = -17963/36 + 499. Let m(w) be the third derivative of 2*w**2 + 1/90*w**5 + 0*w**3 + 1/36*w**6 + 0*w + 0 - c*w**4 + 1/105*w**7. Find k such that m(k) = 0.
-1, 0, 1/3
Let v = 5 - -1. Let x(w) be the second derivative of 7/15*w**v - 3*w - 15/14*w**4 + 0 - 2/5*w**5 - 4/7*w**2 + 4/3*w**3. Solve x(m) = 0.
-1, 2/7, 1
Factor 0 - 2/5*q**3 + 0*q + 0*q**2 - 1/5*q**5 + 3/5*q**4.
-q**3*(q - 2)*(q - 1)/5
Let z(t) be the third derivative of t**6/40 + t**5/20 - t**4/4 + 20*t**2. Suppose z(r) = 0. What is r?
-2, 0, 1
Let h(d) = -2*d**2 - 5*d + 7. Let x(v) = 3*v**2 + 7*v - 10. Let o(b) = 7*h(b) + 5*x(b). Factor o(t).
(t - 1)*(t + 1)
Let t(p) = 2*p**2 - p - 1. Let h(a) = 22*a**2 - 10*a - 12. Let o(k) = -6*h(k) + 68*t