j**6 + 0*j**3 - 2/3*j**4. Factor l(n).
4*n*(n - 2)**2*(n - 1)*(n + 1)
Suppose 4*x**2 + 2*x**2 + 55*x + 22*x - 11*x**2 + 158*x = 0. What is x?
0, 47
Let q be ((-1)/(-2))/(3/18). Let r(u) be the first derivative of -1/7*u**2 + 1/14*u**4 + 0*u**q + 0*u + 3. Solve r(o) = 0 for o.
-1, 0, 1
Determine p, given that -5/3*p**2 - 1/3*p**4 + 2/3*p + 0 + 4/3*p**3 = 0.
0, 1, 2
Solve 432/5*t**3 + 1728/5*t**2 + 2/5*t**5 + 0 + 48/5*t**4 + 2592/5*t = 0.
-6, 0
Let b be (-55)/(-20)*3/(3/4). Solve 125*z**2 + 13*z + b*z - 28 - 121*z**2 = 0.
-7, 1
Let r(b) be the third derivative of -b**7/210 + b**6/40 + b**5/30 - b**4/2 + 4*b**3/3 + 10*b**2 + 10*b. What is k in r(k) = 0?
-2, 1, 2
Let y(v) be the first derivative of -2*v**6/21 + 3*v**4/7 - 8*v**3/21 + 183. Solve y(z) = 0.
-2, 0, 1
Suppose -15*u = -28 - 17. Factor 116 - 116 + c**u - c**2.
c**2*(c - 1)
Let m(p) = -p - 3. Let d be m(-5). Suppose -3*i + 15 = d*i. Solve 2*f**4 - 3*f**3 + 4*f**i - 3*f**3 = 0 for f.
0, 1
Let o(v) be the second derivative of -5*v - 1/336*v**7 + 0*v**4 - 1/80*v**5 + 0*v**3 - 1/80*v**6 - 1 + 0*v**2. Let o(q) = 0. What is q?
-2, -1, 0
Suppose -8 = 4*z - 0*z, -664 = -3*h - 4*z. Solve -346*o - h*o - 2744 - 48*o**2 - 18*o - o**3 + 6*o**2 = 0.
-14
Let z(h) be the second derivative of h**7/1470 - h**6/315 - 7*h**3/2 + 9*h. Let j(g) be the second derivative of z(g). Factor j(b).
4*b**2*(b - 2)/7
Let r(c) be the second derivative of 5*c**7/42 + c**6/6 - 3*c**5/2 + 5*c**4/6 + 25*c**3/6 - 15*c**2/2 - 129*c - 5. Factor r(d).
5*(d - 1)**3*(d + 1)*(d + 3)
Let s be 48/(-6) + (-1421)/(-58). Factor -6*c - s*c**2 + 3/2 - 9*c**3.
-3*(c + 1)**2*(6*c - 1)/2
Let q(t) be the second derivative of 2*t**6/15 - 22*t**5/5 + 56*t**4 - 980*t**3/3 + 686*t**2 - t - 20. Find p, given that q(p) = 0.
1, 7
Let f be 1*(-5 + (2 - -2)). Let d be 11/2 + f/(-2). Factor -z**2 + d*z - z**2 + 4 + 4*z**2.
2*(z + 1)*(z + 2)
Suppose -6*z + 1 = -17. Factor -u**z + 7*u**4 + 8*u - 8*u - 6*u**4.
u**3*(u - 1)
Solve -28*n + 53*n + 0*n + 2*n**2 - 23*n = 0 for n.
-1, 0
Let z(r) be the second derivative of 115/12*r**4 + 2*r - 20/3*r**3 - 19/6*r**6 + 0 + 1/4*r**5 - 10*r**2 + 5/6*r**7. Solve z(f) = 0 for f.
-1, -2/7, 1, 2
Factor 4*c**2 - 2*c**3 - 5*c**3 - 4 - 7*c**3 + 2*c - 11*c**3 + 23*c**3.
-2*(c - 2)*(c - 1)*(c + 1)
Suppose 3*x - 6 = 3*t, 0*t = -t + 8*x - 16. Factor t + 4*p**2 + 0*p - 4/3*p**3.
-4*p**2*(p - 3)/3
What is c in 0*c + 1/4*c**5 + 0 - 2*c**2 - c**3 + 1/2*c**4 = 0?
-2, 0, 2
Let n = 323 + -323. Let x(v) be the second derivative of 0*v**5 + 0 + 1/120*v**6 - 1/56*v**7 + n*v**4 + 7*v + 0*v**3 + 0*v**2. Factor x(q).
-q**4*(3*q - 1)/4
Factor 42/5*z**2 - 2/5*z**3 + 0*z + 0.
-2*z**2*(z - 21)/5
Let l(d) be the second derivative of 2*d**6/45 - 12*d**5/5 + 358*d**4/9 - 136*d**3 + 578*d**2/3 - 6*d - 43. Factor l(k).
4*(k - 17)**2*(k - 1)**2/3
Solve 129*q - 8 - 73*q - 62*q - q**2 = 0 for q.
-4, -2
Let l(d) be the third derivative of -d**8/1008 - 11*d**7/630 - d**6/10 - 8*d**5/45 + 4*d**4/9 + 8*d**3/3 + 54*d**2. Find v such that l(v) = 0.
-6, -2, 1
Let z be (0/(-7) + 0)*1 - -2. Let m(u) be the first derivative of 0*u + 0*u**3 + 0*u**4 + 0*u**2 + 1/15*u**5 - z. Let m(o) = 0. What is o?
0
Let x(d) = 6*d**2 - 56*d + 50. Let t(o) = -o**2 + 11*o - 10. Let w(l) = 11*t(l) + 2*x(l). Let w(k) = 0. Calculate k.
-10, 1
Let v(u) = 10*u**2 - 25*u + 15. Let i(q) = 9*q**2 - 24*q + 15. Let h(y) = -5*i(y) + 4*v(y). Find j, given that h(j) = 0.
1, 3
Let c(o) = o + 8. Let j be c(-6). Let n = -1108 + 1110. Solve 4/5*m - 2/5*m**n + 0 - j*m**4 - 16/5*m**3 = 0.
-1, 0, 2/5
Let q(l) be the third derivative of -l**7/840 + l**6/240 + l**5/240 - l**4/48 + 34*l**2. Factor q(x).
-x*(x - 2)*(x - 1)*(x + 1)/4
Suppose t + t = 0. Suppose t = 3*x - 19 - 5. Let 10*q**4 - 3*q - 3*q**5 + 2*q**4 - x*q**2 - 13*q**3 - 5*q**3 + 20*q**2 = 0. What is q?
0, 1
Let i(l) be the second derivative of -5*l**4/3 - 218*l**3/3 - 168*l**2 - 29*l + 2. Solve i(a) = 0.
-21, -4/5
Let z(g) = 66*g**2 - 27*g**2 + 8*g - 21 + 10*g. Let s(h) = -11*h**2 - 5*h + 6. Suppose 0 = 5*d - 12 + 37. Let w(q) = d*z(q) - 18*s(q). Factor w(x).
3*(x - 1)*(x + 1)
Let a(n) be the third derivative of n**5/15 - 8*n**4/21 + 8*n**3/21 + 3*n**2 + 5. Factor a(r).
4*(r - 2)*(7*r - 2)/7
Let j be 3/((-27)/(-30)) + 8/(-6). Let f(x) be the third derivative of 0 + 1/28*x**4 + 2*x**j - 1/70*x**5 - 1/21*x**3 + 1/420*x**6 + 0*x. Factor f(u).
2*(u - 1)**3/7
Let t(b) be the second derivative of -b**5/15 + 8*b**4/3 - 128*b**3/3 - 27*b**2/2 - 14*b. Let d(a) be the first derivative of t(a). Solve d(v) = 0 for v.
8
Factor 12/7*j**4 - 6/7*j + 6/7*j**5 - 12/7*j**2 + 0 + 0*j**3.
6*j*(j - 1)*(j + 1)**3/7
Let v = -1513/2 + 800. Let j = -43 + v. Factor -4 - j*r**3 - 3*r**2 - 6*r.
-(r + 2)**3/2
Let z(v) be the third derivative of 0*v**4 - 1/15*v**3 + 0*v + 1/25*v**5 + 2/75*v**6 + 23*v**2 + 0 + 1/175*v**7. Solve z(c) = 0.
-1, 1/3
Let y be ((-30)/(-9))/(8/12). Let a(m) be the third derivative of -1/10*m**4 - 3/50*m**5 + 0 - 1/10*m**3 + 0*m - 1/350*m**7 - 1/50*m**6 + y*m**2. Factor a(u).
-3*(u + 1)**4/5
Let t(l) be the third derivative of -l**8/3360 - 23*l**7/2520 + l**6/45 - 3*l**5/20 + 50*l**2. Let p(b) be the third derivative of t(b). What is o in p(o) = 0?
-8, 1/3
Let p(w) be the second derivative of -1/18*w**4 + 0 + 0*w**3 - 14*w + 0*w**2 + 1/90*w**6 + 1/60*w**5. Find a such that p(a) = 0.
-2, 0, 1
Let d(g) be the third derivative of 1/480*g**6 + 0 + 1/80*g**5 + 1/12*g**3 - 5/96*g**4 + 8*g**2 - 1/840*g**7 + 0*g. Factor d(a).
-(a - 1)**3*(a + 2)/4
Let p(d) be the first derivative of d**5/25 + d**4/20 - d**3/5 - d**2/10 + 2*d/5 + 549. Factor p(n).
(n - 1)**2*(n + 1)*(n + 2)/5
Let p(h) = -7*h**3 + 4*h**2 - 12*h - 8. Let d(x) = -9*x**3 + 4*x**2 - 12*x - 10. Let t(f) = 4*d(f) - 5*p(f). Let t(l) = 0. Calculate l.
-6, 0, 2
Let f(j) be the second derivative of 10*j**7/3 - 62*j**6/15 - 183*j**5/5 - 121*j**4/3 + 16*j**3/3 + 24*j**2 - 7*j + 3. Find g such that f(g) = 0.
-1, -2/5, 2/7, 3
Factor 28*z - 52*z - 3*z**3 + 33*z**2 - 141*z**2 - 58*z - 23*z.
-3*z*(z + 1)*(z + 35)
Let k(f) be the first derivative of -f**4/4 + 7*f**3/3 - 3*f**2/2 + 23*f - 6. Let d be k(7). Solve -8/7*i + 6/7 + 2/7*i**d = 0 for i.
1, 3
Let h = -50 + 54. What is w in -3*w**3 + 5*w**4 + 0*w**3 + 12*w**3 - h*w**3 = 0?
-1, 0
Solve 24 - 5 - 19 + 2*j**5 - 12*j**4 + 18*j**3 = 0.
0, 3
Let a(w) = -6*w**5 + 9*w**4 - 3*w**2 - 6*w - 6. Let v(m) = m**4 - m**3 - m - 1. Let q(i) = -a(i) + 6*v(i). What is y in q(y) = 0?
-1, 0, 1/2, 1
Let z(q) = -13*q**2 + 73*q + 72. Let v(k) = -4*k**2 + 24*k + 24. Let t(b) = 7*v(b) - 2*z(b). Factor t(d).
-2*(d - 12)*(d + 1)
Let m(p) be the second derivative of -1/18*p**4 + 1/45*p**5 + 0*p**2 - 2/27*p**3 + 0 - 11*p. Factor m(g).
2*g*(g - 2)*(2*g + 1)/9
Let t(j) be the third derivative of -2*j**7/105 - 17*j**6/30 + 38*j**5/15 + 382*j**2. What is d in t(d) = 0?
-19, 0, 2
Let v(m) be the second derivative of -m**4/20 - m**3/2 - 9*m**2/5 - 2*m - 20. Let v(f) = 0. What is f?
-3, -2
Let p(d) be the third derivative of d**7/315 + 13*d**6/45 + 338*d**5/45 - 93*d**2. Determine n so that p(n) = 0.
-26, 0
Let o = -24433/11 + 2223. Let i be (130/22 - 0) + 3*-1. Factor -6*s**2 - i + 80/11*s + o*s**3 - 2/11*s**4.
-2*(s - 4)**2*(s - 1)**2/11
Let k(r) be the first derivative of 0*r**2 + 1/12*r**4 + 0*r - 32 - 1/15*r**5 + 0*r**3. Factor k(n).
-n**3*(n - 1)/3
Let r(m) be the third derivative of -m**8/504 + 8*m**7/315 - m**6/20 - m**5/5 + 10*m**2 + 4. Solve r(w) = 0 for w.
-1, 0, 3, 6
Suppose 2*a - 2*a = 5*a. Factor -2/7*w**2 + 0 - 1/7*w**5 + a*w + 0*w**4 + 3/7*w**3.
-w**2*(w - 1)**2*(w + 2)/7
Let u(q) be the first derivative of 3*q**5/5 - 75*q**4/2 - 3*q**3 + 228*q**2 - 300*q + 1019. Factor u(w).
3*(w - 50)*(w - 1)**2*(w + 2)
Suppose 70*q - 206*q = 0. Factor 4/3*s**3 + 0*s - 20/3*s**2 + q.
4*s**2*(s - 5)/3
Let l(r) be the third derivative of 0*r**3 - 1/36*r**6 + 0 + 0*r - 9*r**2 + 1/72*r**8 + 1/10*r**5 - 1/18*r**4 - 1/35*r**7. Suppose l(s) = 0. Calculate s.
-1, 0, 2/7, 1
Let y(t) = -4*t**4 + 28*t**3 - 92*t**2 + 132*t - 16. Let a(b) = -b**4 + 9*b**3 - 31*b**2 + 44*b - 6. Let p(x) = 16*a(x) - 5*y(x). Solve p(j) = 0.
-4, 1
Determine l so that 11/8*l**2 + 0 + 0*l + 1/8*l**3 = 0.
-11, 0
Let x(c) be the first derivative of -c**3 + 6*c**2 - 12*c + 72. Factor x(y).
-3*(y - 2)**2
Suppose 2/7*k**2 