*l**3/3 + 31*l**2. Solve c(w) = 0.
2, 5
Let z = -9 + 12. Factor 12*k**2 + 3*k**4 - 14 + 14 - 12*k**z.
3*k**2*(k - 2)**2
Let y(i) be the first derivative of -i**6/15 - 3*i**5/10 + 4*i**3/3 + 2*i - 3. Let c(k) be the first derivative of y(k). Factor c(r).
-2*r*(r - 1)*(r + 2)**2
Suppose -u - 4 = -3*k, 7*k = -2*u + 2*k + 14. Suppose -g + u*g = 0. Factor 3*q**4 + g*q**2 + 2*q**2 - 5*q**4.
-2*q**2*(q - 1)*(q + 1)
Let q = -35153/30 - -1172. Let j(f) be the second derivative of 5/18*f**4 + 1/15*f**6 + q*f**5 + 0*f**2 - f + 1/9*f**3 + 0. Factor j(c).
2*c*(c + 1)**2*(3*c + 1)/3
Let c be (4/(-12))/(1/(-3)). Solve 1 + 9*n**5 + 3*n**2 - c + 7*n**3 - 15*n**4 - 4*n**2 = 0 for n.
0, 1/3, 1
Let w = 3 - -5. Suppose -4*u = 5*j + w, -j = -0*j + 4. Factor -o**5 - o**2 + 3*o**4 + 0*o**5 - 2*o**4 + o**u.
-o**2*(o - 1)**2*(o + 1)
Let k(b) be the third derivative of -1/480*b**6 + 1/120*b**5 + 0*b + 0*b**3 + 0 - b**2 - 1/96*b**4. What is i in k(i) = 0?
0, 1
Let t be 2 - (1 - 2) - 1. Suppose 2/9*h**t + 2/9*h**5 + 0 + 0*h - 2/9*h**4 - 2/9*h**3 = 0. Calculate h.
-1, 0, 1
Let n = 41 - 25. Let c = 19 - n. Determine t, given that -4/3 + 1/3*t**c + 0*t + t**2 = 0.
-2, 1
Let n be 1/(-2)*1*16/(-44). Let -2/11*y**4 - 2/11*y + 0 + 2/11*y**2 + n*y**3 = 0. What is y?
-1, 0, 1
Factor 4*n**2 - 4*n**2 - n - 2 + 2*n**2 + 0*n**3 + n**3.
(n - 1)*(n + 1)*(n + 2)
Suppose -c - l = -169, -3*l - 345 = -2*c + 2*l. Let z be c/140 - 2/(-7). Factor -3/2 - 3*y - z*y**2.
-3*(y + 1)**2/2
Let j(s) = 57*s**3 + 33*s**2 - 57*s - 33. Let w(t) = 7*t**3 + 4*t**2 - 7*t - 4. Let l(p) = 4*j(p) - 33*w(p). Factor l(g).
-3*g*(g - 1)*(g + 1)
Let l(c) = -7*c**2 - 4*c + 4. Let w(b) = 48*b**2 + 27*b - 27. Let v(h) = -27*l(h) - 4*w(h). Let v(t) = 0. Calculate t.
0
Let y(t) be the second derivative of -t**6/180 - t**5/60 + t**3/18 + t**2/12 + 2*t. Solve y(z) = 0.
-1, 1
Let c(x) = 2*x + 10. Let b be c(7). Let r be b/18 + 2/(-3). Determine n so that r + 2/3*n - 2/3*n**3 - 2/3*n**2 = 0.
-1, 1
Let v(w) be the first derivative of 15*w**4/2 - 125*w**3/3 + 70*w**2 - 20*w - 6. Let v(i) = 0. What is i?
1/6, 2
Let w(p) be the third derivative of p**6/480 - p**5/240 - p**4/24 + p**3/6 + 12*p**2. Factor w(o).
(o - 2)*(o - 1)*(o + 2)/4
Let w(v) be the first derivative of v**3/3 + 3*v**2 + 5*v - 38. Factor w(l).
(l + 1)*(l + 5)
Suppose 4*f - 76 = -4*q, 0 = f - 0*f - 4*q - 39. Let d = 23 - f. Factor d*j + 0 + 2/11*j**3 - 2/11*j**2.
2*j**2*(j - 1)/11
Factor 2/11*u**2 - 6/11 - 4/11*u.
2*(u - 3)*(u + 1)/11
Let r(w) be the first derivative of w**6/9 - 2*w**5/5 + 8*w**3/9 - 24. Factor r(m).
2*m**2*(m - 2)**2*(m + 1)/3
Let a be (-2 + -1)*(-14)/(-21). Let n be (-20)/(-8)*a/(-10). Factor 0*m**2 + 1/2*m**3 - n*m - 1/4*m**4 + 1/4.
-(m - 1)**3*(m + 1)/4
Let m(x) be the third derivative of x**5/30 - x**4/24 + 2*x**2. Let h be m(-1). Factor i**2 - 1/2*i**5 + 1/2*i + 0 + 0*i**h - i**4.
-i*(i - 1)*(i + 1)**3/2
Suppose x = -5*x + 12. Suppose x*q + 3*v - 15 = 0, 3*v - 10 = 4*q + v. Suppose -1/2 + 1/2*f**2 + q*f = 0. What is f?
-1, 1
Determine q, given that -1/2 + 1/4*q**2 - 1/4*q = 0.
-1, 2
Let m(i) be the first derivative of -2/9*i**3 - 1/9*i**2 - 2/45*i**5 + 0*i + 5 - 1/6*i**4. Factor m(p).
-2*p*(p + 1)**3/9
Suppose 2*m = 31*m. Find j, given that 4/13*j + 2/13*j**2 + m = 0.
-2, 0
Let f be 11/3 - 4/6. Suppose -f*x - v + 4 = 3, -2*x + 5*v - 5 = 0. Solve x + 2/7*w**3 + 0*w + 0*w**2 = 0 for w.
0
Let x be (1/(-25))/(1/2). Let m = x - -31/75. Factor 0 - 1/3*i**2 + m*i.
-i*(i - 1)/3
Let z(m) be the third derivative of -m**5/30 - m**4/3 - m**3 + 4*m**2. Suppose z(y) = 0. What is y?
-3, -1
Let u(j) be the first derivative of j**6/21 - 4*j**5/35 + 4*j**3/21 - j**2/7 - 6. Suppose u(m) = 0. What is m?
-1, 0, 1
Let n(m) be the first derivative of -2*m**5/5 - m**4/2 + 2*m**3/3 + m**2 - 5. Find z, given that n(z) = 0.
-1, 0, 1
Let s(h) be the first derivative of -4*h - h**2 + 5 + 2/3*h**3. Determine a so that s(a) = 0.
-1, 2
Let n be (3/576)/(3/6). Let x(q) be the third derivative of 0*q + 9/80*q**6 + 1/24*q**4 - 23/420*q**7 + 0*q**3 + n*q**8 - 13/120*q**5 + 2*q**2 + 0. Factor x(k).
k*(k - 1)**3*(7*k - 2)/2
Let q be 40/7 + (-8)/(-28). Suppose q = -0*w + 3*w. Factor 0*i**2 + w*i**3 - 1 + 1 + 2*i**2.
2*i**2*(i + 1)
Let j = -69/2 - -211/6. Let u = 166 + -163. Factor 0 - 1/3*b + 0*b**2 + 0*b**4 - 1/3*b**5 + j*b**u.
-b*(b - 1)**2*(b + 1)**2/3
Let i(g) = -5*g**4 - 19*g**3 - 12*g**2 + 19*g. Let z(n) = 2*n**4 + 6*n**3 + 4*n**2 - 6*n. Let x(k) = -6*i(k) - 17*z(k). Suppose x(t) = 0. Calculate t.
-1, 0, 1, 3
Let w(n) be the third derivative of -n**6/80 + n**5/10 - 3*n**4/16 - 28*n**2. Factor w(f).
-3*f*(f - 3)*(f - 1)/2
Suppose 0 = 3*t + 3, 2*t + 4 = -2*n - 0*t. Let r be ((-3)/6 - n)*8. Determine p so that -10*p**4 + 17*p**2 + 1 + 3 - 11*p**r - 9*p**5 - 7*p**3 + 16*p = 0.
-1, -2/3, 1
Suppose -3*u + 23 = -1. Factor -4*r + 2*r**4 - 2*r + r**3 - u*r**2 - 2*r**2 - 3*r**3.
2*r*(r - 3)*(r + 1)**2
Let n be (-2)/5 - (-464)/(-40). Let y be (4/6)/((-28)/n). Let 0 + y*b + 2/7*b**2 = 0. Calculate b.
-1, 0
Let r(q) be the first derivative of 4*q**3 + 4/5*q**5 + 4*q**4 - 16*q - 8*q**2 + 8. Factor r(x).
4*(x - 1)*(x + 1)*(x + 2)**2
Suppose -4 = -14*h + 52. Find r, given that -1/3*r**5 + 0 + 2/3*r**2 - 2/3*r**h + 0*r**3 + 1/3*r = 0.
-1, 0, 1
Suppose 0*n - 5*n + 15 = 0. Suppose n*f + 0*f = 5*b - 15, -3*b + 9 = f. What is g in g + b*g - 3*g - g**3 = 0?
-1, 0, 1
Find g such that 1/3*g**5 - 4/3 + 7/3*g**3 - 8/3*g + 5/3*g**4 - 1/3*g**2 = 0.
-2, -1, 1
Let a(h) be the third derivative of 1/60*h**5 + 0*h**3 + 0*h - 1/60*h**6 + 1/210*h**7 + 0*h**4 + 4*h**2 + 0. Factor a(o).
o**2*(o - 1)**2
Let b be 0/((-15)/10*4/3). Suppose b*d**2 + 2/5*d**4 + 0 + 0*d**3 + 0*d = 0. Calculate d.
0
Suppose 0 = -2*s - 2 + 14. Factor 2*f**2 - s*f + 4*f + 0*f.
2*f*(f - 1)
Let z(l) = -100*l**4 + 615*l**3 + 670*l**2 + 45*l. Let i(f) = -9*f**4 + 56*f**3 + 61*f**2 + 4*f. Let v(g) = 45*i(g) - 4*z(g). Let v(y) = 0. Calculate y.
-1, 0, 13
Let o(f) be the second derivative of 0*f**2 + 0 + 1/6*f**4 - 4*f - 1/3*f**3. Let o(a) = 0. What is a?
0, 1
Let p(a) be the second derivative of 1/36*a**4 - a + 1/3*a**2 + 0 - 1/6*a**3. Factor p(l).
(l - 2)*(l - 1)/3
Suppose 0*y**3 - 2/3*y**4 + 0 + 2/3*y**2 + 0*y = 0. Calculate y.
-1, 0, 1
Let m be 9/7 + -1*1. Let s(q) = q**3 + 4*q**2 - 5*q + 3. Let n be s(-5). Factor 0 + m*a**2 + 0*a + 2/7*a**n.
2*a**2*(a + 1)/7
Let q(y) be the third derivative of 0 - 3*y**2 - 2/21*y**3 + 1/210*y**5 + 0*y + 1/84*y**4. Factor q(f).
2*(f - 1)*(f + 2)/7
Let o(j) be the third derivative of j**5/270 - j**4/108 - 2*j**3/27 + 34*j**2. Solve o(a) = 0 for a.
-1, 2
Suppose -b + 2*a + 17 = 0, 38 = b + 3*a + 1. Suppose 5*g + 5 = -5*u + b, 5*g = u - 4. Factor 2*o**5 + 3*o**4 - o**5 - 2*o**u.
o**4*(o + 1)
Let h(o) be the second derivative of -o**7/105 + o**6/25 - o**5/25 - o**4/15 + o**3/5 - o**2/5 + 34*o. Solve h(q) = 0.
-1, 1
Let m(a) be the third derivative of 0 + 0*a**4 + 1/30*a**5 + 0*a**6 + 4*a**2 + 0*a + 0*a**3 - 1/105*a**7. Factor m(g).
-2*g**2*(g - 1)*(g + 1)
Factor 58*z**2 - 10*z**5 - 8 - 20*z**5 - 46*z**3 - 10*z**4 + 44*z**5 - 8*z.
2*(z - 1)**3*(z + 2)*(7*z + 2)
Let f(v) be the third derivative of -v**8/23520 - v**7/8820 - v**4/8 - v**2. Let t(x) be the second derivative of f(x). Factor t(u).
-2*u**2*(u + 1)/7
Let h be 9 + -9 + -1 + 4 - 1. Factor 0*g - 1/2*g**4 + 2*g**3 + 0 - 2*g**h.
-g**2*(g - 2)**2/2
Let k(o) be the first derivative of -7*o**6/6 - 18*o**5/5 - 109*o**4/28 - 12*o**3/7 - 2*o**2/7 + 21. Factor k(v).
-v*(v + 1)**2*(7*v + 2)**2/7
Let z(t) = 3*t**3 - t**2 + 2*t - 1. Let j be z(1). Factor 13*w**3 - 2*w - 10*w**j + 6 - 7*w.
3*(w - 1)**2*(w + 2)
Factor 144*b - 134 + 3*b**3 - 58 - 23*b**2 - 13*b**2.
3*(b - 4)**3
Let s(t) = t**3 + 2*t**2 - 4*t + 2. Let q be s(-3). Factor -8*w - 19/2*w**3 - 25/2*w**2 - 7/2*w**4 - 2 - 1/2*w**q.
-(w + 1)**3*(w + 2)**2/2
Let i(b) be the first derivative of -1/4*b**2 - 1/8*b**4 + 4 - 1/3*b**3 + 0*b. What is a in i(a) = 0?
-1, 0
Let r be (-208)/(-155) - (-56)/(-70). Let a = 8/31 + r. Let 14/5*c - 16/5*c**2 + 6/5*c**3 - a = 0. Calculate c.
2/3, 1
Suppose 24 + 7*s**3 + 22*s**2 - 54*s**2 + 28*s - 27*s**3 = 0. Calculate s.
-2, -3/5, 1
Let d be ((-1)/(12/16))/(-2*2). Suppose d*v**2 + 0 + 1/3*v = 0. Calculate v.
-1, 0
Let u(y) = -y + 10. Let i be u(7). Determine x so that 3*x*