 - o + o**m - 5*o = 0.
-2, 0, 1
Let z(r) be the third derivative of -r**6/540 - r**5/135 + 7*r**2. Factor z(h).
-2*h**2*(h + 2)/9
Let d = -5361497/168 - -31914. Let g = -1/24 + d. Factor 0 - g*w**4 + 0*w**3 + 0*w + 2/7*w**2.
-2*w**2*(w - 1)*(w + 1)/7
Let w(o) be the second derivative of 1/42*o**4 + 0 + 1/21*o**3 - 2/7*o**2 - 2*o. Factor w(y).
2*(y - 1)*(y + 2)/7
Let c(x) = 11*x**4 + 44*x**3 + 89*x**2 - 144*x. Let b(q) = 10*q**4 + 44*q**3 + 90*q**2 - 144*q. Let m(z) = 7*b(z) - 6*c(z). Determine i so that m(i) = 0.
-6, 0, 1
Suppose -5 = 23*c - 5. Suppose 2/3*p**3 + 1/3 - 2/3*p + c*p**2 - 1/3*p**4 = 0. Calculate p.
-1, 1
Let t(q) be the first derivative of -q**6/180 - q**5/30 - q**4/12 - q**3/3 - 3. Let b(z) be the third derivative of t(z). Factor b(d).
-2*(d + 1)**2
Let g(v) be the second derivative of -v**6/720 + v**5/240 - v**3/3 + 3*v. Let a(f) be the second derivative of g(f). Factor a(s).
-s*(s - 1)/2
Suppose -5*z = -l, -2*z - 6 = -2*l + 2. Let h be (z/3)/((-2)/(-18)). Factor 1 + y**3 + 2*y**4 - 1 + h*y**3.
2*y**3*(y + 2)
Let g = 207 - 201. Let v(q) be the second derivative of 0 + 3/4*q**4 + 5*q - 9/20*q**5 + 0*q**2 - 1/2*q**3 + 1/10*q**g. Find m, given that v(m) = 0.
0, 1
Let n(o) be the first derivative of -2*o**5 - 2*o**4 + 22*o**3/3 - 2*o**2 + 22. Factor n(v).
-2*v*(v - 1)*(v + 2)*(5*v - 1)
What is q in -73*q**4 + 0*q**3 - q**5 + q**3 + 72*q**4 + q**2 = 0?
-1, 0, 1
Let -3*y**3 + 3/4 - 3*y + 9/2*y**2 + 3/4*y**4 = 0. What is y?
1
Let x(l) be the first derivative of l**6/45 - l**5/15 + 2*l**3/9 - l**2/3 - l - 1. Let r(g) be the first derivative of x(g). Factor r(z).
2*(z - 1)**3*(z + 1)/3
Suppose 4*k = -5 + 13. Let l(s) be the second derivative of 1/10*s**5 + 0*s**3 - 1/21*s**7 + 0 + 0*s**4 + 0*s**6 + 0*s**k - s. What is g in l(g) = 0?
-1, 0, 1
Suppose -4*g - 3*f = -23, 6*f - 5 = 5*g + 3*f. Let r be (0 - 2)*3/(-2). Solve 290/9*m**g - 88/9*m + 8/9 - 100/3*m**r = 0 for m.
1/6, 2/5
Let k(w) = -3*w**3 + 3*w**2 + w - 3. Let m(q) = 16*q**3 - 16*q**2 - 5*q + 16. Suppose 2*y = -y + 99. Let l(f) = y*k(f) + 6*m(f). Determine p so that l(p) = 0.
-1, 1
Factor 1/6 + 1/6*s**2 - 1/3*s.
(s - 1)**2/6
Let s(w) = -w**3 - w + 1. Let l(g) = -g**4 - g**3 - 5*g + 4. Let c(r) = -r**2 + 4*r - 2. Let a be c(4). Let z(b) = a*l(b) + 6*s(b). Factor z(u).
2*(u - 1)**3*(u + 1)
Let o(y) = y**3 + 4*y**2 + 2. Let h be o(-4). Suppose -1 = d, 4*q + 2*d - 8 = -q. Factor -q*k - 1 - 13*k**2 + 13*k**h + 2*k**3 + k**4.
(k - 1)*(k + 1)**3
Let r(v) be the second derivative of v**4/36 + v**3/9 + v**2/6 - v. Factor r(c).
(c + 1)**2/3
Let k = 4 + -4. Let y(q) be the third derivative of k - 1/180*q**5 + 1/18*q**3 - q**2 + 0*q**4 + 0*q. Suppose y(c) = 0. What is c?
-1, 1
Suppose 0 = -2*u + 8 - 4. Let o(a) be the first derivative of 1/10*a**u + 3/20*a**4 - 1/25*a**5 + 0*a - 1 - 1/5*a**3. Factor o(x).
-x*(x - 1)**3/5
Factor -1/3*o**3 + 0 + o**2 + 0*o.
-o**2*(o - 3)/3
Let c(f) be the first derivative of f**6/39 + 4*f**5/13 + 20*f**4/13 + 160*f**3/39 + 80*f**2/13 + 64*f/13 - 14. Factor c(p).
2*(p + 2)**5/13
Solve 2/5*c**4 + c**3 + 1/5*c + 0 + 4/5*c**2 = 0 for c.
-1, -1/2, 0
Suppose -4*h - 66 = -18. Let v = -7 - h. Find k such that 0 + 1/4*k - 3/2*k**3 + 0*k**2 + 2*k**4 - 3/4*k**v = 0.
-1/3, 0, 1
Let q(t) be the third derivative of 0*t - 1/40*t**4 + 0*t**3 + 3*t**2 + 0 + 0*t**5 + 1/200*t**6. What is i in q(i) = 0?
-1, 0, 1
Find b such that -15 - 5*b - 10 + 4*b**2 + b**2 - 5 = 0.
-2, 3
Let n(v) be the third derivative of v**6/60 - v**5/12 + v**4/8 - v**2. Factor n(s).
s*(s - 1)*(2*s - 3)
Let d = -1601/2 - -801. Factor -7/4*c**3 - d - 11/4*c - 4*c**2.
-(c + 1)**2*(7*c + 2)/4
Let j(g) = 44*g**4 + 44*g**3 - 44*g**2 + 4*g. Let w(h) = -9*h**4 - 9*h**3 + 9*h**2 - h. Let r(l) = 5*j(l) + 24*w(l). Find o, given that r(o) = 0.
-1, 0, 1
Let r(w) be the first derivative of 1/210*w**5 + 2/21*w**3 + 1/28*w**4 - 2 + 0*w + w**2. Let l(y) be the second derivative of r(y). Factor l(o).
2*(o + 1)*(o + 2)/7
Factor -26*u + 3 + 2*u + 4*u**2 + 33.
4*(u - 3)**2
Let o(x) be the first derivative of -x**4/10 + 7*x**3/15 - 3*x**2/10 + 18. Let o(g) = 0. What is g?
0, 1/2, 3
Let s(d) be the third derivative of -d**8/151200 - d**7/18900 + d**5/30 - 5*d**2. Let n(j) be the third derivative of s(j). Factor n(p).
-2*p*(p + 2)/15
Let m(f) be the second derivative of f**9/60480 - f**8/26880 - f**4/6 + 3*f. Let c(w) be the third derivative of m(w). Let c(l) = 0. What is l?
0, 1
Let r = 1 + -1/2. Find v such that 0 - r*v**3 + 0*v + 0*v**2 = 0.
0
Factor -5*v**3 + v**3 + 8*v**3 - 4*v.
4*v*(v - 1)*(v + 1)
Let a(n) be the first derivative of -n**4/3 - n**3/3 + 4*n + 4. Let q(f) be the first derivative of a(f). Factor q(w).
-2*w*(2*w + 1)
Let p = 1 - -7. Let s be (0/(p/(-2)))/1. Factor 0*t + s - 2/9*t**3 + 2/9*t**5 + 2/9*t**4 - 2/9*t**2.
2*t**2*(t - 1)*(t + 1)**2/9
Let x(a) be the third derivative of -5*a**9/6048 + a**8/224 - a**7/105 + a**6/90 - a**5/12 - 2*a**2. Let d(f) be the third derivative of x(f). Factor d(b).
-2*(b - 1)*(5*b - 2)**2
Let q(f) be the second derivative of -f**9/37800 + f**8/16800 - f**4/3 - 2*f. Let p(u) be the third derivative of q(u). Factor p(s).
-2*s**3*(s - 1)/5
Let t(w) be the second derivative of -w**7/56 - 3*w**6/20 - 3*w**5/10 + w**4 + 6*w**3 + 12*w**2 - w - 13. Suppose t(v) = 0. Calculate v.
-2, 2
Let w be (-2)/(2*(-2)/(-24)). Let f be 1 + (-27)/w - 3. Suppose -1/4*k + 0 + f*k**2 = 0. What is k?
0, 1
Let l = 21 + -21. Let o(f) be the first derivative of 0*f**2 - 2 + 1/6*f**4 + l*f + 2/9*f**3. Factor o(w).
2*w**2*(w + 1)/3
Let g(o) be the second derivative of o**8/8400 + o**7/2100 - o**5/300 + o**4/12 + 2*o. Let w(f) be the third derivative of g(f). Factor w(r).
2*(r + 1)**2*(2*r - 1)/5
Let m = 67/155 - 1/31. Solve 0 - m*b**3 + 0*b + 0*b**2 = 0 for b.
0
Suppose 5*y - 3 = 3*m, 3*y - 6*m = -5*m + 5. Solve -1 - 14*g**y + 1/2*g + 29/2*g**2 = 0.
-1/4, 2/7, 1
Let c = 40/9 + -422/99. Suppose 10*o = 12*o - 5*x - 19, 0 = 2*o + x - 1. Determine g, given that 2/11*g**o + 0*g - c = 0.
-1, 1
Let i(g) be the second derivative of -11/6*g**4 + 0*g**2 - 5/21*g**7 - 2/3*g**3 - 17/15*g**6 - 3*g + 0 - 21/10*g**5. Factor i(v).
-2*v*(v + 1)**3*(5*v + 2)
Solve 7*f**2 + f**3 + 7*f + 3 + f**2 - 3*f**2 = 0 for f.
-3, -1
Let p be 4/12*-2*(-3)/5. Factor 2/5*u - 2/5*u**3 + 0 - p*u**4 + 2/5*u**2.
-2*u*(u - 1)*(u + 1)**2/5
Let p be ((-1)/2)/1*0. Let v(q) be the second derivative of 5/12*q**3 + p - 1/2*q**2 - 1/2*q**5 + 17/24*q**4 - 2*q. Factor v(n).
-(n - 1)*(4*n - 1)*(5*n + 2)/2
Let s(b) be the third derivative of 1/36*b**4 - 1/270*b**6 + 0*b + 0 + 1/315*b**7 - 2*b**2 - 1/1512*b**8 - 1/135*b**5 - 1/27*b**3. Factor s(x).
-2*(x - 1)**4*(x + 1)/9
Let s be (-2)/(2 + 4) + 299/195. Factor 0 - 4/5*y + s*y**2.
2*y*(3*y - 2)/5
Let i(s) be the first derivative of -2*s**5/5 + 3*s**4 - 8*s**3 + 10*s**2 - 6*s - 4. Factor i(a).
-2*(a - 3)*(a - 1)**3
Let f(s) be the first derivative of s**6/6 + 1. Factor f(m).
m**5
Solve -1 + 7 - 624*m**2 + 3*m**4 + 3*m**3 + 615*m**2 - 3*m = 0 for m.
-2, -1, 1
Let p(n) be the first derivative of 0*n - 3*n**2 - 7 - n**3 - 5*n + 2*n. Factor p(c).
-3*(c + 1)**2
Let o(a) = -a**4 - 3*a**3 + 3*a**2 + 5*a. Let c = 13 - 8. Let f = 0 - c. Let d(b) = -b**4 - 3*b**3 + 2*b**2 + 4*b. Let s(v) = f*o(v) + 6*d(v). Solve s(h) = 0.
-1, 0
Suppose -6*l + 20 = -2*l. Let x = l - 3. Solve 0*o + 2*o + 9*o**2 - 7*o**x = 0 for o.
-1, 0
Let b(h) = 170*h**2 + 85*h - 35. Let z(c) = -10*c**2 - 5*c + 2. Let u(i) = 2*b(i) + 35*z(i). Factor u(p).
-5*p*(2*p + 1)
Let d = -7 + 12. Let m(o) be the second derivative of 0*o**4 + 0 + 1/75*o**6 - 1/50*o**d + 2*o + 0*o**3 + 0*o**2. Let m(t) = 0. What is t?
0, 1
Suppose 0 = o - 3*o. Suppose 2*y - 2 = 4*l, o*l + 5*y = -l + 27. Determine u, given that 2/7*u**3 + 4/7 - 4/7*u**l - 2/7*u = 0.
-1, 1, 2
Let d(h) = 9*h**4 - 12*h**3 - 5*h**2 + 11*h + 5. Let x(w) = 4*w**4 - 6*w**3 - 2*w**2 + 6*w + 2. Let g(v) = -4*d(v) + 10*x(v). Let g(q) = 0. What is q?
-1, 0, 2
Let r(w) be the first derivative of -w**6/105 - w**5/35 + 2*w**3/21 + w**2/7 - w - 2. Let y(m) be the first derivative of r(m). Factor y(d).
-2*(d - 1)*(d + 1)**3/7
Let w(j) = j**3 + 4*j**2 + 27. Let b be w(-5). Let f(y) be the second derivative of -3*y + 1/12*y**4 + 0*y**b + 0*y**3 + 1/20*y**5 + 0. Factor f(d).
d**2*(d + 1)
Suppose -4*j - 3 + 27 = 0. 