 o*n**3 + 3*n - 2*n**b + 3 = 0. What is n?
-1, 1
Suppose 84/13*a**2 - 6/13*a**5 + 6/13 - 38/13*a - 84/13*a**3 + 38/13*a**4 = 0. What is a?
1/3, 1, 3
Suppose 3*q = -b + 5 + 6, 19 = 3*q + 5*b. Suppose -4*r + q*v = -14, -r + 15 = 4*r - 5*v. Factor 4*g**4 + 0*g + 21*g**3 + 3*g - 6*g**2 + 21*g**2 + r*g**4.
3*g*(g + 1)**2*(3*g + 1)
Let q(t) = 22*t**2 + 50*t + 51. Let h(c) = -5*c**2 - 12*c - 13. Let p(u) = -18*h(u) - 4*q(u). Solve p(l) = 0 for l.
-5, -3
Let y be (-12)/(-3*(-4)/(-6)). Let o be y/(-10) - (-2 + 1) - 0. What is r in 0 - o*r**2 + 0*r = 0?
0
Let m(h) be the first derivative of 8*h**4 + 32*h**3/3 - h**2 - 2*h + 16. Let m(a) = 0. Calculate a.
-1, -1/4, 1/4
Let n(u) = 35*u - 1257. Let w be n(36). Factor 4/3*s**w + 0 - 2/3*s**4 + 0*s**2 - 2/3*s**5 + 0*s.
-2*s**3*(s - 1)*(s + 2)/3
Suppose 4 = 5*d - 1. Let n be (6/(-3))/(d/(-4)). Suppose 1 + 21 - n + 13 + 27*j + 9*j**2 + j**3 = 0. What is j?
-3
Let k(f) = -19*f**2 + 56*f - 33. Let y(n) = -n**2 + 3*n - 3. Let u(c) = 5*k(c) - 55*y(c). Factor u(m).
-5*m*(8*m - 23)
Find o such that 73*o - o**3 - 2628*o**2 + 2641*o**2 - 70 - 15 = 0.
-5, 1, 17
Suppose -n + 96 = 15. Suppose -3*p = 9 - n. Factor -p + 2*z + 12*z - 10*z**2 + 45 - 25.
-2*(z - 1)*(5*z - 2)
Factor 0 - 3/5*m**3 + 0*m + 18*m**2.
-3*m**2*(m - 30)/5
Let t(h) be the first derivative of h**6/75 - h**5/50 - h**4/10 + h**3/3 - 2*h**2/5 - 7*h - 5. Let d(f) be the first derivative of t(f). Solve d(m) = 0.
-2, 1
Let p(n) be the second derivative of n**6/30 - 3*n**5/20 - n**4/12 + n**3/2 + 113*n. Find k such that p(k) = 0.
-1, 0, 1, 3
Factor 2/3*z + 10/9*z**3 - 2/9*z**4 - 14/9*z**2 + 0.
-2*z*(z - 3)*(z - 1)**2/9
Let a be (24/144)/((-4)/(-16)). Factor -a*m + 4/9 + 2/9*m**2.
2*(m - 2)*(m - 1)/9
Let h(y) be the first derivative of 15*y**4/32 - 3*y**3/8 - 3*y**2/8 + 239. Solve h(w) = 0.
-2/5, 0, 1
Let i(n) be the second derivative of -1/45*n**6 - 22*n + 0 - 1/6*n**4 + 1/10*n**5 + 1/9*n**3 + 0*n**2. Factor i(d).
-2*d*(d - 1)**3/3
Let s = 38 - 20. Let p = s + -13. Factor t**4 - 6*t**3 + t**4 + 2*t**4 - 4*t**p - 4*t + 14*t**3 - 8*t**2 + 4.
-4*(t - 1)**3*(t + 1)**2
Let b = -8761/2 + 4382. Solve -15/8*o**2 - 3*o + b = 0.
-2, 2/5
Let c(r) be the second derivative of r**4/16 + 15*r**3/8 + 39*r**2/4 + 4*r - 26. Solve c(y) = 0.
-13, -2
Let j(o) be the first derivative of -3*o**4/4 - 21*o**3 - 180*o**2 - 300*o - 717. Determine c, given that j(c) = 0.
-10, -1
Suppose -15 + 9 = -2*n. Suppose -n - 21 = -6*a. Factor 6*f**3 - 12*f**2 - 3/4*f**5 - 12*f + 24 + 3/2*f**a.
-3*(f - 2)**3*(f + 2)**2/4
Let r(l) be the second derivative of -4 - 6*l**2 - 5*l - 1/4*l**4 - 5/2*l**3. Solve r(g) = 0.
-4, -1
Let n be (2 - -2)/8 - (8 + (-671)/66). Determine z, given that -2*z + n + 1/3*z**3 - z**2 = 0.
-2, 1, 4
Determine c so that -342*c**2 + 5*c**4 + 223 + 2*c**5 + 2592*c + 9*c**4 - 106*c**3 - 3679 = 0.
-8, 3
Let z(y) be the first derivative of 5/14*y**2 + 3/28*y**4 + 1/35*y**5 + 0*y - 3/7*y**3 - 35. Factor z(i).
i*(i - 1)**2*(i + 5)/7
Let b(j) be the second derivative of -j**7/210 - j**6/60 - j**5/60 - 17*j**2/2 + 12*j. Let f(d) be the first derivative of b(d). Factor f(q).
-q**2*(q + 1)**2
Factor -24336/5 - 23712/5*c + 124*c**2 - 4/5*c**3.
-4*(c - 78)**2*(c + 1)/5
Let h(g) be the second derivative of 0*g**2 + 0 + 6*g + 1/22*g**4 - 1/11*g**3. Factor h(t).
6*t*(t - 1)/11
Let t be -3*((-3)/(-2))/(63/(-28)). Factor 18 + 24 - 42 - 4*u**t - 4*u**3.
-4*u**2*(u + 1)
Let g(m) = m**3 - 17*m**2 - 10*m + 26. Let w(b) = -3*b**3 + 35*b**2 + 19*b - 51. Let x(n) = 10*g(n) + 4*w(n). Factor x(p).
-2*(p - 1)*(p + 2)*(p + 14)
Let g(n) be the second derivative of 5*n**4/24 + n**3/24 + 122*n. Factor g(j).
j*(10*j + 1)/4
Let c(y) be the first derivative of -y**6/10 - 2*y**5/5 - 7*y**4/12 - y**3/3 - 8*y + 7. Let r(m) be the first derivative of c(m). Suppose r(w) = 0. Calculate w.
-1, -2/3, 0
Let b = -685735/132 + 5195. Let w(d) be the third derivative of 0 + 1/1155*d**7 + 0*d - 2/33*d**3 - 1/110*d**5 - 6*d**2 + 1/660*d**6 - b*d**4. Factor w(x).
2*(x - 2)*(x + 1)**3/11
Let q(h) be the second derivative of 5*h**7/42 + 2*h**6 + 19*h**5/2 + 65*h**4/3 + 55*h**3/2 + 20*h**2 + 156*h. What is p in q(p) = 0?
-8, -1
Let y(c) be the first derivative of 2*c**3/3 - 10*c**2 - 48*c - 78. Determine z so that y(z) = 0.
-2, 12
Let m(n) be the third derivative of n**7/140 + 3*n**6/40 + n**5/5 - 3*n**4/8 - 9*n**3/4 - n**2 - 13. Factor m(d).
3*(d - 1)*(d + 1)*(d + 3)**2/2
Let y(h) = 180*h**4 - 130*h**3 - 755*h**2 + 240*h. Let j(v) = 15*v**4 - 11*v**3 - 63*v**2 + 20*v. Let w(r) = 35*j(r) - 3*y(r). Factor w(t).
-5*t*(t - 2)*(t + 2)*(3*t - 1)
Let z(p) be the third derivative of p**8/448 - p**7/280 - 3*p**6/80 - p**5/40 + 5*p**4/32 + 3*p**3/8 - 50*p**2 - 1. Factor z(t).
3*(t - 3)*(t - 1)*(t + 1)**3/4
Let h(n) be the third derivative of n**7/10080 - n**6/2880 - n**5/240 - 7*n**4/8 - 6*n**2. Let z(l) be the second derivative of h(l). Solve z(f) = 0.
-1, 2
Let t(f) be the third derivative of f**8/2352 + f**7/1470 - f**6/840 - f**5/420 - 19*f**2 + 5*f. Factor t(w).
w**2*(w - 1)*(w + 1)**2/7
Let m(t) be the third derivative of t**9/1008 - t**8/140 + t**7/70 - 5*t**3/6 + 12*t**2. Let n(s) be the first derivative of m(s). Solve n(l) = 0.
0, 2
Factor -1/5*q**2 + 0 - 34/5*q.
-q*(q + 34)/5
Let r be (-2 - (-79)/(-8)) + 12. Let f(a) be the first derivative of 1/16*a**4 + 1/6*a**3 + 13 + r*a**2 + 0*a. Factor f(j).
j*(j + 1)**2/4
Determine r so that -3/4*r**2 + 6*r + 15 = 0.
-2, 10
Let a(v) be the second derivative of -v**8/20160 - v**7/2520 - v**6/1080 + 5*v**4/6 + 3*v. Let n(s) be the third derivative of a(s). Find i such that n(i) = 0.
-2, -1, 0
Let v(m) = -5 + 5 + 3*m**5 + m**4 + 5 - 1. Let o(j) be the first derivative of -5*j**6/6 - 2*j**5/5 - 7*j + 4. Let h(w) = 4*o(w) + 7*v(w). Factor h(x).
x**4*(x - 1)
Let w(y) = -2*y**3 + 3*y**2 + 14*y. Let s be w(-3). Let -40*h**4 - s*h**3 - 8*h**2 - 12*h**2 + 4*h**3 + 5*h**5 + 30*h**4 = 0. Calculate h.
-1, 0, 4
Let a(m) be the third derivative of -m**6/120 - 13*m**5/20 + m**4/24 + 13*m**3/2 - 14*m**2. Factor a(x).
-(x - 1)*(x + 1)*(x + 39)
Let s = -47 + 51. Suppose 4*p - 6*p + s*c = -16, -p + 5 = -c. Let 5/7*q**p + 2/7*q + 4/7*q**3 + 0 + 1/7*q**4 = 0. What is q?
-2, -1, 0
Suppose 12 = -6*d + 3*d. Let i(p) = -p - 2. Let x be i(d). Suppose -2 + 1 - 3*b**2 + 6*b - x = 0. Calculate b.
1
Let t(k) be the second derivative of k**6/660 - k**5/110 + k**4/66 - 25*k**2/2 - 21*k. Let n(a) be the first derivative of t(a). Factor n(h).
2*h*(h - 2)*(h - 1)/11
Let o(i) = -i**2 - 15*i + 4. Let x be o(-14). Factor 17*f - 11*f + 5 + x*f + 35*f**2 + 16*f.
5*(f + 1)*(7*f + 1)
Solve -21/4*v + 3/4*v**3 + 0 - 9/2*v**2 = 0 for v.
-1, 0, 7
Let n(l) = -l**3 + 2*l**2 + 166*l - 22. Let r be n(-12). Factor -1/4*t**r + 0*t + 1/4.
-(t - 1)*(t + 1)/4
Factor -841 + 29*v - 1/4*v**2.
-(v - 58)**2/4
Let i(z) be the third derivative of -z**8/560 - z**7/70 - 3*z**6/200 + 17*z**5/100 + 7*z**4/10 + 6*z**3/5 + 22*z**2. Suppose i(x) = 0. What is x?
-3, -2, -1, 2
Let j(i) be the third derivative of 13*i - 35/132*i**4 - 2/11*i**3 + 3*i**2 + 0 - 1/30*i**5. Factor j(x).
-2*(x + 3)*(11*x + 2)/11
Let h(k) = 3*k**3 + 3*k**2 - 5*k + 3. Let n(t) = -t - 9. Let c be n(-13). Let v(i) = -i**3 - i**2. Let l(d) = c*v(d) + 2*h(d). What is y in l(y) = 0?
-3, 1
Let h(q) be the third derivative of -q**8/672 - q**7/63 - 17*q**6/720 + 7*q**5/45 - q**4/9 - 59*q**2 + 2*q. Determine d, given that h(d) = 0.
-4, 0, 1/3, 1
Let p be -1*((-98)/245)/((-6)/(-5)). Let 1/3*u**4 + 2*u**2 - 4/3*u + p - 4/3*u**3 = 0. Calculate u.
1
Let p(i) = -i**3 - 5*i**2 + 5*i + 1. Let q(m) = -4*m**3 - 16*m**2 + 16*m + 4. Suppose -50 = 12*w - 2. Let h(c) = w*q(c) + 14*p(c). Factor h(g).
2*(g - 1)**3
Let x be (30/(-21))/(24/(-56)). Let u = 4 - x. Find s, given that 2/3*s**2 + 0 - u*s = 0.
0, 1
Let h(x) be the third derivative of -x**6/600 + x**5/75 - x**4/120 - x**3/5 + 77*x**2. Determine u, given that h(u) = 0.
-1, 2, 3
Let b(d) be the second derivative of -1/3*d**4 + 4/3*d**3 + 0 - 5*d - 2*d**2. Factor b(t).
-4*(t - 1)**2
Let c be 3 + 20973/(-7560) + (-6)/27. Let d(l) be the third derivative of -1/140*l**5 - 1/28*l**4 + 0*l + 0*l**3 + c*l**6 + 0 - 3*l**2. Let d(n) = 0. What is n?
-1, 0, 2
Let j(q) be the first derivative of 0*q**4 + 0*q**3 - 1 - 1/2*q**2 + 0*q - 1/90*q**5. Let s(h) be th