5*m + 22. Let k(z) = -1. Let j(p) = b(p) - 3*k(p). Factor j(c).
-5*(c - 5)*(c - 1)**2
What is p in p**3 - 3*p**3 + p**2 - p**3 - 2*p + 4*p**3 = 0?
-2, 0, 1
Let r(i) be the first derivative of -i**6/6 - i**5/5 + i**4 + 4*i**3/3 + 12. Factor r(n).
-n**2*(n - 2)*(n + 1)*(n + 2)
Let u(h) be the second derivative of -2/3*h**2 - 49/90*h**6 - 10/9*h**3 + 1/12*h**4 - 3*h + 7/6*h**5 + 0. Factor u(x).
-(x - 1)**2*(7*x + 2)**2/3
Let d(p) = 3*p**5 + 4*p**4 - 4*p**2 - 3*p. Let u(h) = -h**4 + h**2. Let j(w) = d(w) - 2*u(w). Suppose j(v) = 0. Calculate v.
-1, 0, 1
Let b be ((-1)/10)/(2/(-6))*2. Suppose b*p - 1/5*p**3 + 2/5 + 0*p**2 = 0. Calculate p.
-1, 2
Let h = -3 + 7. Let b(f) be the third derivative of 0 + 0*f**h + 1/150*f**5 - 1/150*f**6 - f**2 + 1/525*f**7 + 0*f**3 + 0*f. Factor b(q).
2*q**2*(q - 1)**2/5
Suppose 5*y - 12 = y - 3*k, -3*y = 4*k - 9. Let z(a) be the first derivative of 3 - 1/8*a**2 - 1/2*a + 1/12*a**y. Find s such that z(s) = 0.
-1, 2
Let a(o) = o**2 - 3*o - 35. Let z be a(8). Factor 0*i**2 + 0*i**4 + 3/4*i + 0 + 3/4*i**z - 3/2*i**3.
3*i*(i - 1)**2*(i + 1)**2/4
Let 0 + 0*l + 27/2*l**3 + 3*l**2 + 6*l**4 = 0. What is l?
-2, -1/4, 0
Let q be (1/2 + -1)*-1. Suppose 3*l = 4*i + 6, -3*l - 3*i = i - 6. Suppose -2*d**l + 0 - 1/2*d - 2*d**4 - q*d**5 - 3*d**3 = 0. Calculate d.
-1, 0
Let l be ((-1736)/(-6))/(-9 - 1). Let h = 178/5 + l. Solve -h*i + 25/3*i**2 + 4/3 = 0 for i.
2/5
Factor 0 + 2/3*n - 2/9*n**3 + 4/9*n**2.
-2*n*(n - 3)*(n + 1)/9
Let i(v) = 2*v**2 - 17*v + 23. Let n(r) = r**2 - 8*r + 11. Let k(s) = -2*i(s) + 5*n(s). Factor k(m).
(m - 3)**2
Suppose 3*a - 2*a = 3. Suppose 2*q + a*q = 20. Suppose 0*j + 0*j**2 - 2/9*j**5 - 4/9*j**q - 2/9*j**3 + 0 = 0. What is j?
-1, 0
Let f be (-14)/49 + (-32)/(-14). Factor 0*x**3 + 2*x**3 - 3*x**f - x**2 + 2*x + 0*x**2.
2*x*(x - 1)**2
Find i, given that 1/2*i**4 + 0 + 0*i**2 + 0*i + 1/2*i**3 = 0.
-1, 0
Let i(f) = -2*f**4 - 2*f**3 + 4*f**2 - 2. Let t(b) = 2*b**4 + 2*b**3 - 3*b**2 + b + 1. Let c = 7 + -5. Let o(k) = c*t(k) + 3*i(k). Let o(y) = 0. Calculate y.
-2, -1, 1
Let g(d) be the third derivative of -3*d**2 + 0 + 0*d + 1/60*d**6 - 1/30*d**5 + 1/105*d**7 + 0*d**3 - 1/12*d**4. Solve g(y) = 0 for y.
-1, 0, 1
Factor 0*g**3 + 0*g**2 + 0*g + 2/13*g**5 + 0 + 2/13*g**4.
2*g**4*(g + 1)/13
Let a(i) be the first derivative of i**5/60 - i**4/9 + 5*i**3/18 - i**2/3 + 2*i + 2. Let g(b) be the first derivative of a(b). Solve g(v) = 0 for v.
1, 2
Let z = 148 + -104. Let r be z/77 + (-2)/7. Factor -r*g**3 - 6/7*g**2 - 4/7*g + 0.
-2*g*(g + 1)*(g + 2)/7
Let l(h) = h**3 + 4*h**2 - 3*h - 5. Let u be l(-4). Suppose 2*w - g = 33, -u*g = -3*g - 4. Suppose 0 + 4/3*q - 140/3*q**4 + 4*q**2 - w*q**3 = 0. What is q?
-2/5, -1/4, 0, 2/7
Let q(d) = d**2 - 5*d - 2. Let x be q(6). Find u such that 0*u**5 + 3 + 2*u - 8*u**2 + 2*u**5 - 2*u**3 + 4*u**x + 1 - 2*u**3 = 0.
-2, -1, 1
Factor 1/5*r**4 + 0*r**2 - 1/5*r**3 + 0*r + 0.
r**3*(r - 1)/5
Let m(o) be the second derivative of 1/24*o**3 + 0 - 2*o - 1/48*o**4 + 0*o**2. Find q such that m(q) = 0.
0, 1
Let d = -9 - -10. Let t(f) be the first derivative of -d + f + 1/12*f**3 + 1/2*f**2. Determine p, given that t(p) = 0.
-2
Let m(q) be the third derivative of -q**6/1200 - q**5/300 + q**4/240 + q**3/30 - q**2. Factor m(y).
-(y - 1)*(y + 1)*(y + 2)/10
Suppose -4*w = 4*q - 16, 3*q + 5*w = 4*q - 16. Let j be (2/q)/((-18)/(-27)). Factor 2*v - 2 - j*v**2.
-(v - 2)**2/2
Let i(w) be the first derivative of -3*w**4/4 + w**3 + 3*w**2 - 8. Factor i(p).
-3*p*(p - 2)*(p + 1)
Suppose 0 = x - 6*x + 40. Let g = x - 15/2. Suppose g*q - 1/2*q**3 + 1/2 - 1/2*q**2 = 0. Calculate q.
-1, 1
Let s(f) = f**4 + f**3 + f**2 + 1. Let v(j) = j**2 - 4*j - 1. Let h be v(4). Let a(k) = 3*k**4 - k**3 + k**2 + 1. Let w(g) = h*s(g) + a(g). Factor w(y).
2*y**3*(y - 1)
Let i(j) be the second derivative of j**4/6 + 2*j**3/3 + 25*j. Suppose i(b) = 0. What is b?
-2, 0
Let a be 3/5 - 8/((-280)/49). Factor 1/5*z**a + 0 + 2/5*z.
z*(z + 2)/5
Let b(a) be the first derivative of -a**6/9 - 2*a**5/3 - 7*a**4/6 - 2*a**3/3 - 5. Factor b(w).
-2*w**2*(w + 1)**2*(w + 3)/3
Let q(i) be the third derivative of 4*i**2 + 0 + 1/60*i**4 + 1/300*i**5 + 1/30*i**3 + 0*i. Factor q(l).
(l + 1)**2/5
Let a(l) = -13*l**3 + 40*l**2 - 144*l - 197. Let v(d) = 2*d**3 + d**2 + 1. Let r(p) = -a(p) - 5*v(p). Factor r(s).
3*(s - 8)**2*(s + 1)
Let x(s) = 2*s**3 - 6*s**2 + 22*s - 14. Let u(b) = b**3 - 6*b**2 + 21*b - 13. Let f(p) = 4*u(p) - 3*x(p). What is o in f(o) = 0?
-5, 1
Let n(l) be the second derivative of 1/3*l**3 + 1/18*l**4 - 4*l + 2/3*l**2 + 0. Solve n(o) = 0.
-2, -1
Let y(c) be the first derivative of 3*c**4/4 - 3*c**3 - 16. Let y(b) = 0. Calculate b.
0, 3
Find n such that -2*n**2 + 3*n**2 + n**2 - 4*n**2 = 0.
0
Suppose -6*u + 10 = -u. Let t(a) be the third derivative of 3/100*a**5 + 1/10*a**3 - 3/40*a**4 - 3*a**u - 1/200*a**6 + 0 + 0*a. Suppose t(n) = 0. Calculate n.
1
Suppose -3*c = u + 5, 5*u + 4*c - 4 - 4 = 0. Suppose -28*k**3 - k**5 - 22*k**2 + 6*k**4 - 8*k - 3*k**5 - 1 - 23*k**u = 0. Calculate k.
-1, -1/4
Solve -6*j - 6*j**3 + 6*j**2 - 5*j**3 + 2 + 9*j**3 + 0*j**3 = 0 for j.
1
Let o(v) be the first derivative of -v**3/6 - 5*v**2/4 - 2*v - 1. What is x in o(x) = 0?
-4, -1
Let v(i) = -3*i + 21. Let k be v(6). Let l(x) be the first derivative of 2/11*x - 2/33*x**k + 0*x**2 - 3. Suppose l(t) = 0. Calculate t.
-1, 1
Let m(n) be the first derivative of -n**4/2 - 4*n**3/3 - n**2 + 9. Let m(u) = 0. Calculate u.
-1, 0
Let b(j) be the third derivative of -j**7/10080 + j**6/2880 - j**4/8 + 3*j**2. Let n(l) be the second derivative of b(l). Factor n(m).
-m*(m - 1)/4
Let t be 7 + (-9 - 1) + (-34)/(-10). Determine a, given that 2/5*a - t*a**3 - 2/5 + 2/5*a**2 = 0.
-1, 1
Let l(u) be the first derivative of u**6/120 - u**5/30 + u**4/24 - u**2 + 2. Let h(d) be the second derivative of l(d). Find v such that h(v) = 0.
0, 1
Let m = -46/15 + 11/3. Let q(p) be the first derivative of 1 - 3*p**3 + m*p**5 - 15/2*p**2 + 3/4*p**4 - 6*p. Factor q(b).
3*(b - 2)*(b + 1)**3
Let s(j) be the second derivative of -j**6/540 - j**5/135 - j**4/108 - j**2/2 - 2*j. Let x(h) be the first derivative of s(h). Factor x(t).
-2*t*(t + 1)**2/9
Let w(s) be the third derivative of 1/12*s**4 + 0 - 1/30*s**5 - 1/90*s**6 + 0*s + 2/9*s**3 - 2*s**2. Solve w(m) = 0 for m.
-2, -1/2, 1
Suppose -3*n = -6*n. Suppose n = -b + 5*b. Factor -1/3*h**5 + 4/3*h**2 + 4/3*h**4 - 2*h**3 - 1/3*h + b.
-h*(h - 1)**4/3
Let z(p) be the second derivative of -p**6/60 + p**4/12 + p**2 + 2*p. Let s(d) be the first derivative of z(d). Suppose s(q) = 0. Calculate q.
-1, 0, 1
Find c such that 3/7*c**2 - 12/7 + 12/7*c - 3/7*c**3 = 0.
-2, 1, 2
Suppose 0 = -2*o - 4*h + 20, o = 6*o + 5*h - 40. Suppose 0 = -2*a + o. Solve 0 + 1/2*k**2 - 1/4*k - 1/4*k**a = 0 for k.
0, 1
Let c(s) be the second derivative of 0*s**3 + 3/10*s**5 + 0 - 7/45*s**6 - 1/9*s**4 + 2*s + 0*s**2. Factor c(g).
-2*g**2*(g - 1)*(7*g - 2)/3
Let l(s) be the first derivative of 2*s**3/33 + 14*s**2/11 + 72. Factor l(m).
2*m*(m + 14)/11
Let o be (-12)/18*(-1 + 7/10). Let d(l) be the second derivative of -o*l**3 + 2/5*l**2 + 4*l + 0 + 1/30*l**4. Factor d(c).
2*(c - 2)*(c - 1)/5
Let q be (2/(-8) + (-153)/68)/(-5). Let -q*d - 1/6*d**3 + 1/2*d**2 + 1/6 = 0. Calculate d.
1
Let o(f) = f**3 + 9*f**2 - 1. Let m be o(-9). Let s be (-1)/2 + m/(-2). Find g such that s*g**2 + 1/2*g**3 + 1/4 - 1/4*g**4 - 1/2*g = 0.
-1, 1
Let w = 2106/815 + -30/163. What is p in 3*p + 6/5 - 12/5*p**3 + 6/5*p**2 - w*p**4 - 3/5*p**5 = 0?
-2, -1, 1
Suppose -4*j + 14 = h, 3*j - 11 = -2*h + h. Find f, given that 2/7*f - 10/7*f**2 + 18/7*f**4 + 6/7*f**j + 0 = 0.
-1, 0, 1/3
Let c be (9/(-6))/((-3)/4). Let v be (-11)/14*236/(-649). Find u, given that v*u + 0 + 2/7*u**c = 0.
-1, 0
Suppose -12*i = -2*i - 20. Let q(k) be the second derivative of -1/2*k**3 + 0 + 4*k - 1/24*k**4 - 9/4*k**i. Determine b, given that q(b) = 0.
-3
Suppose 0 = -w - 3*p - 13, 2*w + 9 - 8 = -p. Suppose 2/3 + 2*d + 2/3*d**3 + 2*d**w = 0. What is d?
-1
Let s(o) = 2*o**4 - 4*o**3 - 7*o**2 - o - 5. Let t = 13 - 18. Let v(q) = 2*q**4 - 4*q**3 - 6*q**2 - 4. Let i(c) = t*v(c) + 4*s(c). Factor i(w).
-2*w*(w - 2)*(w - 1)*(w + 1)
Let k(q) be the third derivative of -9*q**8/728 + 6*q**7/455 + q**6/20 - q**5/15 - q**4/13 + 8*q**3/39 + 5*q**2. Let k