 -5*n - 2 = -5*z - 17. Suppose 5*j + 3*h = -2*h + 35, 0 = j - n*h + 23. Factor 3*o + 1 + o**4 - j - 2*o**3 - o.
(o - 1)**3*(o + 1)
Factor 3/2*r**4 + 3*r + 0 - 9/2*r**2 + 0*r**3.
3*r*(r - 1)**2*(r + 2)/2
Let o = 14 + -11. Factor 3*z**2 + 0*z**o + 0*z - 3/2 - 3/2*z**4.
-3*(z - 1)**2*(z + 1)**2/2
Let k(b) = b**3 - 5*b**2 - 2*b + 12. Let l be k(5). Let m(f) be the first derivative of f**2 - 2*f + l - 1/2*f**4 + 2/3*f**3. Find p, given that m(p) = 0.
-1, 1
Let u(z) be the second derivative of -2/11*z**2 + 4/33*z**4 - 1/33*z**3 - 1/22*z**5 - z + 0. Determine r, given that u(r) = 0.
-2/5, 1
Let p(b) = -3*b**3 - 21*b**2 - 18*b + 2. Let k be p(-6). Suppose -1/2*z**k + 1/2*z + 1 = 0. Calculate z.
-1, 2
Let m(w) be the third derivative of 3*w**2 + 7/60*w**6 - 29/90*w**5 + 4/9*w**3 + 1/9*w**4 + 0*w + 0. Determine n, given that m(n) = 0.
-2/7, 2/3, 1
Find s, given that 8/7*s - 2/7*s**2 - 8/7 = 0.
2
Suppose -5*x = 3*j - 0*x + 6, 4*j - x - 15 = 0. Let t(k) be the third derivative of 0*k - 2*k**2 + 1/240*k**5 + 0*k**j + 1/96*k**4 + 0. What is n in t(n) = 0?
-1, 0
Let s(u) be the third derivative of -u**8/2800 - u**7/1400 + u**6/600 + u**5/200 - u**3 - 4*u**2. Let n(j) be the first derivative of s(j). Factor n(t).
-3*t*(t - 1)*(t + 1)**2/5
Suppose 12 = -3*j + 6*j. Let y(u) be the second derivative of -1/120*u**6 + 0*u**2 + 3/80*u**5 - 2*u + 0*u**3 - 1/24*u**j + 0. Determine n, given that y(n) = 0.
0, 1, 2
Let q(v) = 3*v - 7. Let c be q(3). Factor -6*p**4 + 2*p**2 + 6*p**2 + 6 + 11*p**c - 3*p**5 + 6*p**3 + 21*p + 5*p**2.
-3*(p - 2)*(p + 1)**4
Let p(q) = 2*q**3 + q**2 - 2*q + 3. Let d(r) = -3*r**3 + 3*r - 3. Let f(v) = 3*v**3 - v**2 + v + 1. Let z be f(-1). Let g(y) = z*d(y) - 3*p(y). Factor g(x).
3*(x - 1)*(x + 1)*(2*x - 1)
Let b be 309/21 + (-4)/(-14). Let k = b + -29/3. Determine f, given that 4*f**2 - 2/3*f**3 + k - 8*f = 0.
2
Suppose 2*j + v = 7, -3*v + 20 - 1 = 5*j. Factor -1/4*b + 1/4*b**j + 0.
b*(b - 1)/4
Let v(u) = 2*u**2 + u + 3. Let d(r) = -r - 1. Let l(w) = 3*d(w) + v(w). What is o in l(o) = 0?
0, 1
Determine x so that 4/5 + x**2 - 1/5*x**3 - 8/5*x = 0.
1, 2
Suppose -x + 4*f = 12, -4*x + 5*f = -2*x + 12. Let c be -3 - (-3 - -1) - -4. What is t in -4*t**2 + 2*t**5 + x*t**4 - t**c - 2*t + t**3 = 0?
-1, 0, 1
Let p = 154 - 136. Find q such that -3/2*q**4 + 9*q**3 + p*q - 6 - 39/2*q**2 = 0.
1, 2
Factor -15 - 49*k - 86*k**2 + 178*k - 21*k**3 + 8*k**2 - 15.
-3*(k - 1)*(k + 5)*(7*k - 2)
Let h(w) = -w**2 + 9*w - 8. Let r be h(7). Factor 2 + r*t**3 - 6*t**3 + 2*t**4 - 4*t**2.
2*(t - 1)**2*(t + 1)**2
Let o(p) be the second derivative of p**5/5 - p**4 + 8*p**2 + 2*p. What is q in o(q) = 0?
-1, 2
Let l = -20 - -24. Solve -18/11*m**2 + 0 + 24/11*m**3 - 10/11*m**l + 4/11*m = 0.
0, 2/5, 1
Let l(q) be the second derivative of -q**5/180 + q**4/72 - 3*q**2/2 - 3*q. Let r(x) be the first derivative of l(x). Find n, given that r(n) = 0.
0, 1
Let u(j) be the second derivative of 0 - 1/120*j**5 + 0*j**3 + 0*j**4 - 1/480*j**6 + 4*j + j**2. Let k(q) be the first derivative of u(q). Factor k(d).
-d**2*(d + 2)/4
Let k(w) be the second derivative of w**4/36 + w**3/9 + w**2/6 + 4*w. Let k(d) = 0. What is d?
-1
Let l be (-30)/(-4) - 6/(-4). Let z = l + -7. Factor -1/4*b**z + 0 - 1/4*b.
-b*(b + 1)/4
Let s(h) be the second derivative of -h**4/30 + h**2/5 - 2*h. Find n such that s(n) = 0.
-1, 1
Factor 0*f + 0 + 5/4*f**4 + 1/4*f**2 - 1/2*f**5 - f**3.
-f**2*(f - 1)**2*(2*f - 1)/4
Find t such that -8/7*t + 2/7*t**2 + 8/7 = 0.
2
Let k = 4/5 + -7/15. Factor 1/3*x**4 + 1/3*x - k*x**3 - 1/3*x**2 + 0.
x*(x - 1)**2*(x + 1)/3
Let b(i) = -i**2 - i - 1. Let s(x) = 2*x**5 + 8*x**4 + 10*x**3 + 2*x**2 - 2*x - 2. Let y(u) = -2*b(u) + s(u). Factor y(q).
2*q**2*(q + 1)**2*(q + 2)
Let q(j) be the first derivative of 5*j**4/4 + 10*j**3/3 + 5*j**2/2 - 2. Solve q(w) = 0.
-1, 0
Let h(q) be the second derivative of q**4/54 - q**3/27 - 6*q. Factor h(b).
2*b*(b - 1)/9
Let j(o) = 2*o**2 - 24*o + 79. Let g(h) = 2*h**2 - 24*h + 78. Let s(r) = -7*g(r) + 6*j(r). Factor s(m).
-2*(m - 6)**2
Suppose 2 = 4*r - 58. Let m = 26 - r. Let x(p) = -8*p**3 - 11*p**2 + 8*p. Let t(h) = -3*h**3 - 4*h**2 + 3*h. Let j(a) = m*t(a) - 4*x(a). Factor j(g).
-g*(g - 1)*(g + 1)
Let v(l) = 8*l**2 + 2*l + 1. Let c(a) = 41*a**2 + 11*a + 6. Let d(r) = -2*c(r) + 11*v(r). Let k be d(1). Factor s**2 - s**4 - s**k - 1 + s**3 + 1.
-s**2*(s - 1)*(s + 1)**2
What is d in -6/11*d**4 - 4/11 + 2/11*d**3 + 10/11*d**2 - 2/11*d = 0?
-1, -2/3, 1
Let s(q) be the first derivative of q**4/12 - 5*q**3/9 + 4*q**2/3 - 4*q/3 + 31. Solve s(v) = 0.
1, 2
Factor 16*o - 6*o + 2*o**3 + 12*o**2 + 4*o**3 + 3*o**4 + 3 - 2*o**4.
(o + 1)**3*(o + 3)
Let f(y) = -y**2 + 6*y - 2. Let p be f(5). Factor 3*a**3 - a - 2*a**3 + 0*a**p.
a*(a - 1)*(a + 1)
Let d be (-71)/180 + (-2)/(-5). Let a(b) be the third derivative of 0*b**4 + 0*b**3 + 0*b + 0 + d*b**5 - b**2. Let a(z) = 0. Calculate z.
0
Suppose -20 = -2*m + 3*m. Let q = m + 41/2. What is c in -c - q - 1/2*c**2 = 0?
-1
Let i(n) be the first derivative of 2*n**3/39 + 5*n**2/13 - 12*n/13 - 3. Factor i(z).
2*(z - 1)*(z + 6)/13
Let v(x) be the second derivative of 9*x**5/20 + x**4/4 - x**3 + x. Factor v(i).
3*i*(i + 1)*(3*i - 2)
Let d be -5*(1 + (-7)/5). Suppose -g + 17 = 15. Factor -4*k**g + 2*k**d + 4*k**2 + 0*k**2 - 2*k.
2*k*(k - 1)
Let q be 1*(0/3)/(-2). Suppose q = -5*n - 0*n. Let -1/3*p + n + 1/3*p**2 = 0. What is p?
0, 1
Let p be 18/4 - (-3)/(-6). Suppose 4*d - p = -2*g, -3*d + 4*g + g = 10. Suppose -1/2*c**4 + d*c**2 + c**3 - c + 1/2 = 0. Calculate c.
-1, 1
Let u(q) = 3*q + 71. Let y be u(-22). Let m(f) be the first derivative of 2 + 1/12*f**3 - 1/8*f**2 + 1/16*f**4 - 1/20*f**y + 0*f. Let m(a) = 0. What is a?
-1, 0, 1
Let w be 6/45 - ((-452)/210 + 2). Determine o so that -2/7*o**5 + 2/7*o**3 + 2/7*o**2 + 0 - w*o**4 + 0*o = 0.
-1, 0, 1
Let w(y) = 5*y**5 - 13*y**4 + 7*y**2 - 8*y. Let d(b) = 10*b**5 - 25*b**4 + 15*b**2 - 15*b. Let i(v) = 3*d(v) - 5*w(v). Determine g so that i(g) = 0.
-1, 0, 1
Let u(t) = -1. Let k(f) = f**2 - 4*f - 11. Let c(g) = 5*k(g) - 30*u(g). Factor c(q).
5*(q - 5)*(q + 1)
Let g(o) = -o**2 + 4*o + 4. Let y be g(4). Let m be -6*(y/3)/(-2). Factor 3*j**m - 14*j**3 + 3 - 10*j + j**4 - 1 + 18*j**2.
2*(j - 1)**3*(2*j - 1)
Let s(y) = 1 + 0*y - y**4 + y + 0*y**4. Let m(w) = 2*w**5 + 7*w**4 - 2*w**3 - w**2 - 6*w - 6. Let f(x) = m(x) + 6*s(x). Factor f(d).
d**2*(d - 1)*(d + 1)*(2*d + 1)
Let y(r) = -3*r**4 + 2*r**3 - 9*r**2 - 5. Let n(b) = 7 + 4*b**4 - 3*b**3 + 5*b + 13*b**2 - 5*b. Let a(j) = -5*n(j) - 7*y(j). Suppose a(q) = 0. What is q?
-2, 0, 1
Let c(f) = 3*f**5 + 2*f**4 - f**3 + 2*f. Let i(g) = 12*g**5 + 9*g**4 - 3*g**3 + 9*g. Let r(z) = 9*c(z) - 2*i(z). Determine l so that r(l) = 0.
-1, 0, 1
Let p = 47 - 28. Factor 18*w**2 + 11 - p + 5*w**3 - 6*w + 18*w.
(w + 2)**2*(5*w - 2)
Let i = -12 - -20. Suppose 4*a - i = 4. Factor -5 - k - 2*k**2 - k**a + 5.
-k*(k + 1)**2
Let v(d) be the third derivative of -d**5/60 + d**4/12 + d**3/2 + d**2. Factor v(x).
-(x - 3)*(x + 1)
Let a(t) = -974*t**2 + 146*t - 11. Let v(p) = -1949*p**2 + 291*p - 21. Let i(f) = 11*a(f) - 6*v(f). Factor i(n).
5*(14*n - 1)**2
Let l = -8 + 11. Solve 3/2*m**l + 0 + 0*m**2 + 1/2*m**4 - 2*m = 0 for m.
-2, 0, 1
Determine l so that 0*l**2 + 0*l + 0 - 2/15*l**3 = 0.
0
Suppose -3*u + 53 = 47. Find w such that 0 + w**3 - w**u - 1/3*w**4 + 1/3*w = 0.
0, 1
Let -8/9*i + 2/3*i**2 + 2/9 = 0. What is i?
1/3, 1
Let g(a) be the first derivative of 0*a**2 + 0*a**3 + 1/5*a**5 + 0*a + 1/4*a**4 - 2. Factor g(n).
n**3*(n + 1)
Let g(p) = -p**2 - p. Let s(w) = w**2 + 2*w. Let o(q) = 4*g(q) + 3*s(q). Solve o(c) = 0 for c.
0, 2
Let v(h) = -h**2 - 9*h - 7. Let t be v(-8). Let f be 34/((-80)/92 + t). What is p in f*p**2 + 128/3*p + 8/3 + 896/3*p**5 + 2216/3*p**3 + 2720/3*p**4 = 0?
-2, -2/7, -1/4
Let q(j) = -j**2 + 11*j - 21. Let b be q(8). Determine o, given that -1/2*o + 7/2*o**4 + 1/4*o**2 + 0 + 17/4*o**b = 0.
-1, -1/2, 0, 2/7
Let h(d) = 5*d**4 - 12*d**3 - 17*d**2 + 20*d + 18. Let f(p) = -5*p**4 + 13*p**3 + 18*p**2 - 20*p - 17. Let v(g) = 2*f(g) + 3*h(g). Factor v(l).
5*(l - 2)**2*(l + 1)**2
Let m(l) = -l**4 + l**3 + l + 1. Let c(f) = -2*f**4 - 18*f**3 + 44*f**2 - 26*f - 2. Let p(i) = c(i) + 2*m(i). Suppose p(y) = 0. What is y?
-6, 0, 1
Let y(k) be the first derivative 