(-9). Suppose 5*g + 2*r - 4 = 10, -g = -2*r + o. Suppose 0*k + 2/9 - 2/9*k**g = 0. What is k?
-1, 1
Suppose 0 = -3*q + 3 + 3. Suppose 6*m**5 + m**4 + 4*m**2 + m**4 - 6*m**4 - q*m - 4*m**5 = 0. What is m?
-1, 0, 1
Let r(h) = h**3 - 5*h**2 + 5*h - 2. Let i be r(4). Factor 10*w**2 + w + 0*w**5 + i*w**4 - 12*w**2 - w**5.
-w*(w - 1)**3*(w + 1)
Let l = -409/30 + 41/3. Let z(n) be the third derivative of 0*n + 0*n**3 + 2*n**2 + l*n**5 + 0*n**4 + 1/60*n**6 + 0. Factor z(u).
2*u**2*(u + 1)
Factor 1994*w**2 - w + w**5 + 0*w - 2*w**4 - 1992*w**2.
w*(w - 1)**3*(w + 1)
Let k(n) be the first derivative of 1/4*n**4 - 1/4*n**2 + 0*n**5 - 2 - 1/12*n**6 + 0*n + 0*n**3. Let k(p) = 0. Calculate p.
-1, 0, 1
Let y(g) = g**2 - 4*g - 2. Let b be y(5). Factor b*q**2 - q - q**3 + 6*q - 4*q - 3.
-(q - 3)*(q - 1)*(q + 1)
Let u(v) be the third derivative of v**8/392 - v**6/35 + v**2 - 10. Find n, given that u(n) = 0.
-2, 0, 2
Let g be (-8)/10*(-10)/240. Let n(d) be the second derivative of 0*d**4 + g*d**5 + 0*d**2 + 0*d**6 + d + 0 + 0*d**3 - 1/63*d**7. Find w, given that n(w) = 0.
-1, 0, 1
Let u be ((-20)/5 - -4) + 2. Let i(k) be the third derivative of 0*k - k**u + 0*k**4 + 0 + 0*k**3 + 1/180*k**5. Factor i(f).
f**2/3
Suppose -3*h = -4*k + 2*h - 20, 2*k = 4*h - 16. Let r(u) = 0 + k + 6*u + u**2 - 5. Let d(f) = -f**2 - 7*f + 6. Let n(t) = 5*d(t) + 6*r(t). Factor n(c).
c*(c + 1)
Let h be ((-10)/50)/(1/(-10) - 0). Factor 1/3*s**4 - 1/3 + 0*s**h + 2/3*s**3 - 2/3*s.
(s - 1)*(s + 1)**3/3
Let 6/5*a**2 + 2/5 - 2/5*a**3 - 6/5*a = 0. What is a?
1
Suppose 2*h - 2 = 4. Determine g, given that -g**2 - 6*g**h - g**3 + 6*g**3 = 0.
-1, 0
Let -4/7*k**2 + 0 + 20/7*k = 0. Calculate k.
0, 5
Let d(j) be the third derivative of -33/35*j**7 - 5*j**4 + 0*j + j**2 + 53/15*j**5 + 0 + 1/6*j**8 + 47/60*j**6 + 8/3*j**3. Suppose d(w) = 0. Calculate w.
-1, 1/4, 2/7, 2
Suppose 2*o - u = -0*u + 18, 5*o - 45 = 5*u. Let g be (24/4)/(o/2). Determine l, given that -1/3*l**4 - g*l - 4/3*l**3 - 2*l**2 - 1/3 = 0.
-1
Let j(k) be the second derivative of 3*k - 1/5*k**2 + 17/30*k**3 + 4/25*k**5 - 2/3*k**4 + 0. Factor j(f).
(f - 2)*(4*f - 1)**2/5
Let q(n) be the first derivative of -2*n**5/5 + 5*n**4/2 - 6*n**3 + 7*n**2 - 4*n + 2. Factor q(h).
-2*(h - 2)*(h - 1)**3
Let m be ((-45)/270)/(1/(-8)). Find z, given that 2/3*z**3 + m*z**2 + 2/3*z + 0 = 0.
-1, 0
Let r be 60/18*18/15. Let n(w) be the third derivative of 1/96*w**r - 1/24*w**3 - 1/480*w**6 + 0*w + 1/240*w**5 + 0 - w**2. Factor n(f).
-(f - 1)**2*(f + 1)/4
Let a(l) be the first derivative of -3*l**4/4 + 3*l**3 - 3*l**2 + 6. Factor a(i).
-3*i*(i - 2)*(i - 1)
What is x in 117/4*x + 3/4 + 270*x**2 - 300*x**3 = 0?
-1/20, 1
Let r(u) be the second derivative of -u**6/120 + u**5/60 - u**4/72 + u**3/6 - u. Let x(z) be the second derivative of r(z). Factor x(l).
-(3*l - 1)**2/3
Let o(f) be the third derivative of -1/30*f**5 + 0*f + 1/20*f**4 + 2/15*f**3 + 0 - 3*f**2. Find a, given that o(a) = 0.
-2/5, 1
Factor 14*g - g**2 + 4*g**2 + 9*g**2 + 2*g.
4*g*(3*g + 4)
Let j(g) = -23*g**3 - 17*g**2 - 9*g - 15. Let p(l) = 6*l**3 + 4*l**2 + 2*l + 4. Let b(n) = 6*j(n) + 22*p(n). Factor b(s).
-2*(s + 1)**2*(3*s + 1)
Let g(l) = l**5 - l**4 - l**3 - l**2 - l. Let t(j) = j**5 - 10*j**4 + 14*j**3 + 8*j**2 - 13*j + 6. Let u(z) = 2*g(z) + t(z). Factor u(r).
3*(r - 2)*(r - 1)**3*(r + 1)
Let p(y) be the first derivative of 0*y**3 - 3*y**2 + 1/2*y**4 - 3 + 4*y. Determine h, given that p(h) = 0.
-2, 1
Suppose 52 = 3*x - 2*g, 3*x + 4*g - 76 = -18. Suppose -10*d = -4*d - x. Factor 1/5*o**4 - 1/5*o**2 + 0 - 1/5*o + 1/5*o**d.
o*(o - 1)*(o + 1)**2/5
Let i(s) be the second derivative of s**7/840 - s**6/180 + s**5/120 - s**3/3 - s. Let v(f) be the second derivative of i(f). Factor v(y).
y*(y - 1)**2
Let w(o) = o**3 + 4*o**2 - 4*o + 7. Let d be w(-5). Find q such that -1/2*q**3 - 1/2*q + q**d + 0 = 0.
0, 1
Let q(i) = 15*i**3 - 24*i**2 + 31*i. Let p(b) = -8*b**3 + 12*b**2 - 16*b. Let r(x) = 11*p(x) + 6*q(x). Factor r(a).
2*a*(a - 5)*(a - 1)
Suppose -7*n + 15 = -2*n. Suppose -2*m = n*m - 10. Suppose x**m + x - x = 0. Calculate x.
0
Let w(a) be the third derivative of a**5/330 - a**4/44 + 2*a**3/33 - a**2. Factor w(u).
2*(u - 2)*(u - 1)/11
Let a(l) be the third derivative of l**8/1176 + 2*l**7/245 + l**6/30 + 8*l**5/105 + 3*l**4/28 + 2*l**3/21 - 17*l**2. Solve a(t) = 0 for t.
-2, -1
Let l(n) be the second derivative of 0 + 1/12*n**4 - 1/30*n**6 + 1/6*n**3 + 0*n**2 - 1/20*n**5 + n. Factor l(w).
-w*(w - 1)*(w + 1)**2
Let j(h) be the third derivative of -1/90*h**5 + 2*h**2 - 1/105*h**7 + 0*h + 0*h**3 + 0*h**4 - 1/60*h**6 - 1/504*h**8 + 0. Solve j(l) = 0 for l.
-1, 0
Let m(f) be the first derivative of 0*f - 3 + 2/3*f**3 - 2*f**2. Factor m(r).
2*r*(r - 2)
Let d(t) be the first derivative of t**6/2 + 18*t**5/5 + 39*t**4/4 + 12*t**3 + 6*t**2 + 14. Find j, given that d(j) = 0.
-2, -1, 0
Suppose -3*w + 3 = -2*m + 6, -3*m - 3*w + 12 = 0. Factor -8/9 + 38/9*v**2 - 14/9*v**m - 16/9*v.
-2*(v - 2)*(v - 1)*(7*v + 2)/9
Let j be 15*(4/12)/1. Let n be (7/(-35))/((-4)/j). Solve 0*i - n*i**2 + 0 = 0.
0
Let x = -16 + 22. Suppose 4*n - x*u + 8 = -2*u, -u = -5*n + 6. Determine f so that 2/7*f**n + 0 + 8/7*f**3 + 0*f = 0.
-1/4, 0
Suppose -7*d**2 + 2*d**2 - 9*d + 5*d**2 + 3*d**2 = 0. Calculate d.
0, 3
Determine t, given that -5*t**2 - 8*t**2 + 1 + 14*t**2 - 2*t = 0.
1
Determine v so that -6*v + 2*v**4 - 3*v**4 + v**3 + 6*v = 0.
0, 1
Let x be 130/200 - (0 - (-4)/10). Let g(u) be the third derivative of 1/20*u**5 + 0*u**3 + 3*u**2 + 0*u + x*u**4 + 0. Factor g(t).
3*t*(t + 2)
Let w(q) be the first derivative of -4 - 3/5*q**5 + 0*q**2 - q**3 + 3/2*q**4 + 0*q. Factor w(p).
-3*p**2*(p - 1)**2
Let n(g) be the second derivative of -g**6/30 - g**5/4 - 3*g**4/4 - 7*g**3/6 - g**2 - g. Factor n(m).
-(m + 1)**3*(m + 2)
Let g(k) be the second derivative of k**5/240 - 2*k**2 + 2*k. Let l(r) be the first derivative of g(r). Factor l(c).
c**2/4
Let a(q) be the third derivative of q**8/112 + q**7/210 - q**6/20 - q**5/30 + q**4/8 + q**3/6 - 4*q**2. Solve a(x) = 0.
-1, -1/3, 1
Let 3/4*i**2 + 1/4 + 3/4*i + 1/4*i**3 = 0. Calculate i.
-1
Let m(x) be the third derivative of -x**5/60 + x**4/4 - 5*x**3/6 - x**2. Let q be m(4). Solve 4*n**3 - 2*n**3 + n**2 - 3*n**q = 0 for n.
0, 1
Let q(g) = g**3. Let t(w) = -47*w**2 - 83*w - 48. Let r(o) = 5*q(o) + t(o). Let l(f) = -2*f**3 + 16*f**2 + 28*f + 16. Let n(p) = -11*l(p) - 4*r(p). Factor n(i).
2*(i + 2)**3
Let s(g) be the second derivative of 49*g**6/165 + 7*g**5/11 - g**4/22 - 20*g**3/33 + 4*g**2/11 - 8*g. Factor s(z).
2*(z + 1)**2*(7*z - 2)**2/11
Let p(b) be the first derivative of b**5 - 5*b**3/3 + 24. Factor p(y).
5*y**2*(y - 1)*(y + 1)
Let n(y) be the first derivative of -y**6/3 + 4*y**5/5 + 3*y**4/2 - 16*y**3/3 + 4*y**2 - 20. Solve n(r) = 0 for r.
-2, 0, 1, 2
Let k(f) be the first derivative of -f**4/24 - 6*f + 6. Let y(b) be the first derivative of k(b). Factor y(v).
-v**2/2
Let u(j) be the second derivative of 0*j**2 - 1/9*j**3 + 1/30*j**5 - 3*j + 0 + 0*j**4. Solve u(f) = 0.
-1, 0, 1
Let m = -6 - -6. Suppose o - 3*o = m. Solve 2/3*z**3 + 0 + o*z - 1/3*z**4 - 1/3*z**2 = 0.
0, 1
Let r be (0/(-30))/(2*2/(-4)). Factor 0 - 2/7*c**2 + r*c - 2/7*c**3.
-2*c**2*(c + 1)/7
Let a(w) = w**3 - 4*w**2 + w - 4. Let z be a(4). Let n(q) be the second derivative of z*q**2 + 1/70*q**5 + 0*q**4 + 0*q**3 + 0 + q. What is h in n(h) = 0?
0
Let o(z) be the second derivative of -z**7/1260 - z**6/360 - z**4/4 - 2*z. Let q(p) be the third derivative of o(p). Factor q(i).
-2*i*(i + 1)
Solve 1/4*k**3 + 0 + 0*k**2 + 0*k = 0 for k.
0
Let k(y) = 7*y**3 - 7*y**2 - 5. Let i(m) = 6*m**3 - 6*m**2 - 4. Let n(r) = r**3 + 2*r**2 - 2*r. Let g be n(-2). Let h(j) = g*k(j) - 5*i(j). Factor h(t).
-2*t**2*(t - 1)
Let o(a) be the second derivative of -a**9/63 + a**8/70 - a**7/280 - a**3/2 + 2*a. Let h(d) be the second derivative of o(d). Solve h(l) = 0 for l.
0, 1/4
Let v be -2 - (-1)/(2 + -1). Let y be 3/(v/((-2)/3)). Factor -2*w**y - 3*w**3 + 10*w**3 + 0*w**3.
w**2*(7*w - 2)
Let y(m) = -7*m**5 - 20*m**4 - 21*m**3 - 10*m**2 - 2*m - 3. Let a(p) = -p**5 - p**4 + p**3 + p**2 - 1. Let s(z) = 3*a(z) - y(z). What is u in s(u) = 0?
-2, -1, -1/4, 0
Let l = -22 - -67/3. Let j(w) be the first derivative of -l*w**3 + 2*w - 1/2*w**2 + 4. Suppose j(h) 