)/5
Let t(s) = 10*s**2 + 15*s - 10. Let c(k) = 9*k**2 + 14*k - 11. Let r(x) = 5*c(x) - 4*t(x). Suppose r(p) = 0. What is p?
-3, 1
Let a(r) = r**3 - 5*r**2 + 4*r + 3. Let h = 4 + 0. Let f be a(h). Factor -4*p**2 - 10*p**3 + p**3 - p**f + 4 + 10*p + 0*p**2.
-2*(p - 1)*(p + 1)*(5*p + 2)
Let j = 0 - 0. Suppose j = b - 4*b. Find f such that 1/3*f**2 - 1/3*f - 1/3*f**4 + 1/3*f**3 + b = 0.
-1, 0, 1
Let r(v) be the first derivative of 4*v**3/3 + 4*v**2 - 32*v + 22. Determine y, given that r(y) = 0.
-4, 2
Let g(k) = 5*k**5 + 9*k**4 + 9*k**3 + 9*k**2 + 9*k + 9. Let p(w) = w**5 + 2*w**4 + 2*w**3 + 2*w**2 + 2*w + 2. Let h(l) = 2*g(l) - 9*p(l). Factor h(a).
a**5
Let x(r) be the second derivative of -r**4/6 + 2*r**3/3 - r**2 + 5*r. Factor x(t).
-2*(t - 1)**2
Find i such that -12 + 86*i**2 - 91*i**2 - 3 - 25*i + 5*i**3 = 0.
-1, 3
Suppose -4*p = 4 - 0. Let c(m) = -m**4 - m**2 + m. Let t(i) = 6*i**4 - 3*i**3 + 3*i**2 - 3*i. Let v(j) = p*t(j) - 3*c(j). Factor v(h).
-3*h**3*(h - 1)
Let s(t) be the first derivative of 21*t**5/5 + 9*t**4 - 32*t**3 - 72*t**2 + 48*t + 31. Factor s(q).
3*(q - 2)*(q + 2)**2*(7*q - 2)
Let m(j) = 2*j - 18. Let a be m(10). Let 3/5*u**a - 3/5*u**4 + 0 + 0*u**3 + 0*u = 0. What is u?
-1, 0, 1
Let m(h) = -h - 1. Let v(z) = -8*z**3 - 17*z**2 - 3*z + 6. Suppose 2*s + 16 = 6*s. Let a(y) = s*v(y) + 28*m(y). Determine i so that a(i) = 0.
-1, -1/8
Let g(d) be the first derivative of -d**6/180 + d**5/80 + d**4/48 + d**3 - 2. Let y(v) be the third derivative of g(v). Let y(s) = 0. Calculate s.
-1/4, 1
Let a(z) be the first derivative of -4*z**3/3 - 4*z**2 + 5. Factor a(n).
-4*n*(n + 2)
Find j such that 6*j**4 + 5*j**5 - 2*j**5 + 7*j**3 + 0*j**3 - 4*j**3 = 0.
-1, 0
Let k be (-2)/3 - (-301)/420. Let x = k + 7/20. Determine u, given that 0*u - 2/5*u**2 + x = 0.
-1, 1
Let a = -28/3 + 29/3. Factor a*z - 1/6 - 1/6*z**2.
-(z - 1)**2/6
Suppose -9/2*i**4 + 3/2*i**3 + 0 + 9/2*i**2 - 3/2*i = 0. What is i?
-1, 0, 1/3, 1
Let y(g) be the third derivative of g**5/150 + g**4/30 + 4*g**2. What is d in y(d) = 0?
-2, 0
Let g(c) = c + 1. Let a be g(0). Factor a - 3 - 7*b + b - 3*b**2 - b.
-(b + 2)*(3*b + 1)
Let -10*b**2 - 46*b**4 + 9 + 1 + 20*b**3 - 15*b + 46*b**4 - 5*b**5 = 0. Calculate b.
-2, -1, 1
Let z(s) be the third derivative of s**6/360 - s**5/480 - s**4/32 - s**3/3 - 7*s**2. Let i(y) be the first derivative of z(y). Factor i(b).
(b - 1)*(4*b + 3)/4
Let l(f) = 15*f**4 - 33*f**3 + 27*f**2 - 33*f + 6. Let h(c) = 8*c**4 - 17*c**3 + 13*c**2 - 17*c + 3. Let b(t) = -9*h(t) + 5*l(t). Factor b(a).
3*(a - 1)**4
Let s(o) = 56*o**3 + 71*o**2 - 86*o - 41. Let y(f) = 8 - 11*f**2 + 15*f**3 - 26*f**3 - 3*f**2 + 17*f. Let z(k) = 2*s(k) + 11*y(k). Factor z(i).
-3*(i - 1)*(i + 2)*(3*i + 1)
Let a(f) be the third derivative of f**8/10080 - f**6/2160 - f**3/6 + 3*f**2. Let w(v) be the first derivative of a(v). Suppose w(g) = 0. Calculate g.
-1, 0, 1
Let p(v) = 3*v**2 - 3*v - 1. Let c(o) = o**2 - o - 1. Let k(t) = -5*c(t) + p(t). Factor k(f).
-2*(f - 2)*(f + 1)
Let u(h) = -5*h**5 - h**4 + 3*h**3 + 7*h**2 + 5*h. Let z(i) = 16*i**5 + 2*i**4 - 10*i**3 - 22*i**2 - 16*i. Let a(m) = 20*u(m) + 6*z(m). Factor a(g).
-4*g*(g - 1)*(g + 1)**3
Suppose -3*a = -a. Let w(q) be the second derivative of 4/9*q**2 + 2*q - 4/27*q**3 + a + 1/54*q**4. Factor w(k).
2*(k - 2)**2/9
Let g(b) be the first derivative of b**4/26 - 4*b**3/39 - 4*b**2/13 + 16*b/13 - 18. Factor g(u).
2*(u - 2)**2*(u + 2)/13
Let w(f) be the first derivative of f**6/3 - 2*f**5 + 3*f**4 + 4*f**3/3 - 7*f**2 + 6*f + 4. Factor w(s).
2*(s - 3)*(s - 1)**3*(s + 1)
Suppose -4*o = 2*z - 0*z - 12, 0 = 4*z + 4*o - 16. Let a be (-4 + -1 - 0)*-1. Factor 0*l**5 + 0*l**5 - 2*l**a - 10*l - z - 20*l**2 - 20*l**3 - 10*l**4.
-2*(l + 1)**5
Solve -14/5*j + 18/5*j**2 + 4/5 + 2/5*j**4 - 2*j**3 = 0.
1, 2
Let z = 2 + 1. What is w in -w**2 + 10*w**3 - z*w**2 + 2 + 2*w**2 - 10*w = 0?
-1, 1/5, 1
Let h(p) be the first derivative of p**4/16 - p**3/3 + 5*p**2/8 - p/2 - 9. Determine k so that h(k) = 0.
1, 2
Let g(q) be the first derivative of q**6/195 - q**4/26 + 2*q**3/39 + 2*q - 5. Let n(b) be the first derivative of g(b). Factor n(x).
2*x*(x - 1)**2*(x + 2)/13
Suppose 3*t + 25 = 2*t - 5*a, 2*t = 2*a + 10. Suppose 1/6*j**3 + 0*j**2 + 0*j + t = 0. What is j?
0
Let k(y) be the first derivative of y**4/10 - 2*y**3/3 - 13*y**2/5 - 14*y/5 - 52. Suppose k(p) = 0. Calculate p.
-1, 7
Let f(k) be the second derivative of k**6/165 - k**5/110 - 5*k**4/33 - 8*k**3/33 + 24*k. Factor f(g).
2*g*(g - 4)*(g + 1)*(g + 2)/11
Let n(r) be the third derivative of -r**5/180 + r**4/12 - 5*r**3/18 - 19*r**2. Factor n(a).
-(a - 5)*(a - 1)/3
Let h = 11/25 - -73/175. Suppose 0 - 2/7*g - 6/7*g**2 - h*g**3 - 2/7*g**4 = 0. What is g?
-1, 0
Suppose 3*x = -12, 3*x + 3 + 11 = z. Let j(l) be the first derivative of 0*l**z - 2 - 1/2*l**3 + 0*l. What is w in j(w) = 0?
0
Factor -1/3 - 1/3*f**2 + 2/3*f.
-(f - 1)**2/3
What is o in 95*o + 193 + 2*o**2 + 8*o**2 - 148 = 0?
-9, -1/2
Let a(m) be the second derivative of -4*m**6/5 - 6*m**5/5 + 27*m**4/8 - 19*m**3/8 + 3*m**2/4 - 8*m. Solve a(f) = 0.
-2, 1/4, 1/2
Suppose 0 = -3*c - 6, 3*a - 15 = 3*c - 0. Factor -a*y**2 - 3*y**2 + 3*y**2.
-3*y**2
Let v(i) = -7*i**3 - 5*i**2 + 7*i + 5. Suppose -o + 10 = -3*o. Let u(r) = r**2 + 1 - r**2 + r - 2*r**2 - r**3 + r**2. Let d(g) = o*u(g) + v(g). Factor d(c).
-2*c*(c - 1)*(c + 1)
Let z(f) be the second derivative of f**4/12 - 2*f**2 - 19*f. Find y, given that z(y) = 0.
-2, 2
Let t be -51 + -3 - (1 + -1). Let l = -269/5 - t. Find o such that -o**2 - l*o**4 - 2/5*o - 4/5*o**3 + 0 = 0.
-2, -1, 0
Let g(o) be the first derivative of 2/5*o**5 + o**4 + 3 + 2/5*o + 1/15*o**6 + o**2 + 4/3*o**3. Factor g(r).
2*(r + 1)**5/5
Let t(x) be the first derivative of -5*x**3/18 - 5*x**2/6 - 5*x/6 + 3. Suppose t(l) = 0. Calculate l.
-1
Let p(b) = b**2 + 10*b + 4. Let u be p(-10). Let l be ((-3)/(-6))/(6/u). Solve -l*i - 4/3*i**4 + 4/3*i**2 + 0 + 1/3*i**3 = 0.
-1, 0, 1/4, 1
Let u(i) = i - 11. Let s be u(10). Let p be (-4)/(s*(-2 + 4)). Solve -7/3*y**3 + 0*y + 0 + 2/3*y**p = 0.
0, 2/7
Let -1/4*w**5 + 3/4*w**3 + 5/4*w**2 - 1/4*w**4 + 1/2*w + 0 = 0. Calculate w.
-1, 0, 2
Let h be (8/6)/(2/6). Solve 38*z**3 + h*z**2 + 0*z**4 + 2*z - 14*z**4 - 34*z**2 + 4 = 0 for z.
-2/7, 1
Factor -4*c**5 + 19*c + c + 15*c**3 - 31*c**3 - 8*c**2 - 8 + 16*c**4.
-4*(c - 2)*(c - 1)**3*(c + 1)
Let j(m) be the first derivative of -21*m**4/32 + 13*m**3/4 - 39*m**2/16 - 9*m/4 - 3. What is y in j(y) = 0?
-2/7, 1, 3
Let l(t) be the second derivative of -t**5/300 + t**4/60 - t**3/30 + t**2 + 2*t. Let k(n) be the first derivative of l(n). Suppose k(f) = 0. What is f?
1
Let f be 2 - (-2 + 3 + 1). Determine o, given that f*o**4 - o**5 + o**3 - 2*o**3 - 2*o**4 = 0.
-1, 0
Let b = -10 + 35. Find g, given that 27*g - 5 - 36*g**2 - 3 - 10*g**3 + 2 + b*g**3 = 0.
2/5, 1
Solve 0*q**3 + 0 - 2/9*q**2 + 0*q + 2/9*q**4 = 0.
-1, 0, 1
Suppose -4 = 4*m - 0*x + 5*x, 0 = -4*m - 2*x + 8. Factor 0*n - m*n - 2*n + 21*n**2.
3*n*(7*n - 2)
Let t be 2/(-3) + (-24)/(-27). Let u(q) be the third derivative of -1/12*q**4 + 0*q + 0 + t*q**3 + 1/90*q**5 - q**2. Factor u(f).
2*(f - 2)*(f - 1)/3
Let n be -4*((-15)/(-6) + -3). Suppose -2*j = 2*j - 8. Factor -j - 10*l**2 + n - 4*l.
-2*l*(5*l + 2)
Let i = 27 + -80/3. Let m(b) be the second derivative of -1/3*b**2 + i*b**3 - 1/6*b**4 + 0 + 1/30*b**5 + b. Suppose m(g) = 0. What is g?
1
Let y(m) be the second derivative of m**5/4 - 5*m**4/6 + 5*m**3/6 - 7*m. Suppose y(t) = 0. Calculate t.
0, 1
Let x(c) = c + 4*c - 3*c. Let v be x(2). Factor -3*f**4 + 0*f**4 + 4*f**v.
f**4
Find q, given that 3/5*q**3 + 0 + 0*q**2 - 3/5*q = 0.
-1, 0, 1
Factor 0 + 0*s - 16/5*s**5 - 2/5*s**2 - 17/5*s**3 - 8*s**4.
-s**2*(s + 2)*(4*s + 1)**2/5
Let v = 0 + 2. Let u(m) = m**3 - 6*m**2. Let d be u(6). Factor d + 2/11*q**v + 0*q.
2*q**2/11
Let z be 5/(10/(-12)) - -2. Let n be z - -4 - 2/(-11). Let n*k**3 + 0 - 2/11*k - 6/11*k**2 + 6/11*k**4 = 0. Calculate k.
-1, -1/3, 0, 1
Let b(o) be the second derivative of o**8/112 - 3*o**7/70 + o**6/40 + 3*o**5/20 - o**4/4 - o**2/2 + o. Let t(h) be the first derivative of b(h). Factor t(f).
3*f*(f - 2)*(f - 1)**2*(f + 1)
Let d(i) be the first derivative of i**3 + 9*i**2 + 27*i - 11. Solve d(j) = 0 for j.
-3
Factor -8/11*s + 0 - 2/11*s**3 - 8/11*s*