e n(-7). Suppose -6*x + 10*x - o = 0. Factor 3*u - 1 - u + u**2 + 2 - x*u.
(u - 1)**2
Suppose 1 + 1 = a. Let f(v) be the first derivative of 0*v**3 + 0*v - 2/5*v**5 + 1/4*v**4 + 0*v**a + 2. Factor f(n).
-n**3*(2*n - 1)
Let f = -6571/3 + 2169. Let s = f + 22. Factor -2/3*u - s*u**2 + 0.
-2*u*(u + 1)/3
Let a(b) be the first derivative of -4*b**5/25 + 11*b**4/20 - 3*b**3/5 + b**2/10 + b/5 + 7. Solve a(q) = 0 for q.
-1/4, 1
Factor -6*i - 101 + 4*i**2 + 101 - i**2.
3*i*(i - 2)
Let m = -6 - 15. Let d be 4/3 - 14/m. Factor 4*b**2 - 2 - 4*b + 0*b**2 + b**d + b**2.
2*(b - 1)*(3*b + 1)
Let p(s) be the first derivative of -s**5/50 - 2*s**4/15 - 4*s**3/15 - 5*s + 1. Let c(u) be the first derivative of p(u). Factor c(d).
-2*d*(d + 2)**2/5
Let k(l) be the second derivative of 5*l + 1/18*l**4 + 0 + 2/3*l**3 + 3*l**2. Factor k(b).
2*(b + 3)**2/3
Factor -48*s**2 - 70 + 33*s + 21*s**3 + 30 + 34.
3*(s - 1)**2*(7*s - 2)
Determine p so that -414*p**2 - 14 + 162*p**3 + 10 - 20 - 208*p = 0.
-2/9, 3
Let k = 17 - 19. Let c be -1 + -4 - -3 - k. Suppose 0*z + c - 2/5*z**3 + 4/5*z**2 = 0. What is z?
0, 2
Suppose 10 = 6*d - 2. Let j(x) be the third derivative of 0*x + d*x**2 + 0 + 0*x**3 - 1/240*x**5 + 0*x**4. Suppose j(m) = 0. Calculate m.
0
Suppose 71 = -2*d + 3*z, d + 5*z = -0*d - 55. Let u = -159/4 - d. Factor -a**2 + 1/4*a + 0 + u*a**5 - a**4 + 3/2*a**3.
a*(a - 1)**4/4
Solve 1/6*b**2 - 1/3*b + 1/6 = 0 for b.
1
Let g(m) be the third derivative of m**6/84 - 4*m**5/105 + m**4/84 + 2*m**3/21 + 3*m**2. What is o in g(o) = 0?
-2/5, 1
Find u such that 0 - 8*u**2 - 24*u - 2/3*u**3 = 0.
-6, 0
Let q = -19/77 - -7/22. Let g(w) be the second derivative of -2*w + 1/70*w**5 + 1/7*w**2 + 0 + 1/7*w**3 + q*w**4. Find f, given that g(f) = 0.
-1
Let d(r) be the second derivative of -r**4/18 - 4*r**3/3 - 12*r**2 + 16*r. Factor d(p).
-2*(p + 6)**2/3
Let o(w) = -2*w**3 + w**2 + 154*w - 4. Let v be o(9). Let -4/3*h**3 + 2*h**4 - 4/3*h**2 + 2*h - 2/3*h**v - 2/3 = 0. Calculate h.
-1, 1
Let a be 2/20*(17 - 19)*-2. Determine w so that 2/5*w**2 - a*w**4 - 2/5*w**5 + 2/5*w**3 + 0 + 0*w = 0.
-1, 0, 1
Let u(j) = -32*j**3 - 15*j**2 + 73*j - 17. Let w(n) = 11*n**3 + 5*n**2 - 24*n + 6. Let i(o) = -6*u(o) - 17*w(o). Solve i(c) = 0.
-3, 0, 2
Let i(d) = d**3 + 2*d**2 + 2. Let r be i(-2). Factor -3/2*h + 1/2*h**3 + 0*h**r - 1.
(h - 2)*(h + 1)**2/2
Let t = 26 + -16. Suppose 6*m + t = 11*m. Determine o, given that -2/7*o**m - 4/7*o + 0 = 0.
-2, 0
Let j be 1/(11/5 - 2). Determine v, given that -5*v + 3*v**3 + 3*v**j - v - 9*v**2 - 2*v + 2*v + 9*v**4 = 0.
-2, -1, 0, 1
Let q(i) = -5*i**2 + 5. Let d(f) = 1 - f**2 - 2 + 3*f**2 - f**2. Let c(z) = -11*d(z) - 2*q(z). What is n in c(n) = 0?
-1, 1
Suppose 3*x + x = 4. Let j be 0 + (1 - 0) + x. Factor -6/7*k**3 - 2/7*k - 2/7*k**4 - 6/7*k**j + 0.
-2*k*(k + 1)**3/7
Let t(w) = 9*w**4 + 13*w**3 + 5*w**2 + 5*w + 5. Let g(n) = -4*n**4 - 6*n**3 - 2*n**2 - 2*n - 2. Let p(x) = -10*g(x) - 4*t(x). Determine y, given that p(y) = 0.
-2, 0
Let b(v) be the third derivative of -v**7/350 + 3*v**6/100 - v**5/100 - 3*v**4/5 - 8*v**3/5 - 12*v**2. Suppose b(h) = 0. Calculate h.
-1, 4
Let f(z) be the second derivative of -z**8/3360 + z**7/1680 + z**3/3 + 2*z. Let b(l) be the second derivative of f(l). Factor b(w).
-w**3*(w - 1)/2
Let p(z) = 12*z**5 - 31*z**4 + z**3 + 44*z**2 - 2*z - 8. Let a(y) = y**5 - y**2 + y. Let q(g) = -6*a(g) + 3*p(g). Let q(w) = 0. Calculate w.
-1, -2/5, 1/2, 2
Let r be (2 - -1) + -6 + (-29)/(-9). Find g such that r*g**2 - 2/9*g**3 + 4/9*g + 0 = 0.
-1, 0, 2
Let m be -2 + 3 - (-3 + 0). Let l(o) = -o**2 + 9*o - 15. Let t be l(6). Factor 8/5*p**2 + 0 + 2/5*p**5 + 2/5*p + 12/5*p**t + 8/5*p**m.
2*p*(p + 1)**4/5
Let s(m) be the third derivative of 5/108*m**4 - 11/270*m**5 + 2*m**2 + 0 + 2/27*m**3 + 0*m + 1/135*m**6. Solve s(w) = 0.
-1/4, 1, 2
Let s be (-105)/36 - (-2 + -1). Let u(q) be the second derivative of 0 + q - s*q**4 + 1/6*q**3 + q**2. What is l in u(l) = 0?
-1, 2
Factor 2/3*p**5 - 4/3 + 0*p**4 - 8/3*p**3 + 2*p + 4/3*p**2.
2*(p - 1)**3*(p + 1)*(p + 2)/3
Let i(q) be the third derivative of q**5/12 - 5*q**3/6 - 11*q**2. Factor i(z).
5*(z - 1)*(z + 1)
Let p be 2/((-8)/(-13))*8. Let u = p - 76/3. Factor -u*i + 0 + 2/3*i**2.
2*i*(i - 1)/3
Let 0 + 1/2*o**4 + o**3 + 0*o**2 + 0*o = 0. Calculate o.
-2, 0
Let v(d) be the first derivative of -3*d**5/20 - d**4/2 - 5*d**3/8 - 3*d**2/8 - d + 4. Let r(u) be the first derivative of v(u). Factor r(b).
-3*(b + 1)*(2*b + 1)**2/4
Let a(t) be the third derivative of -t**8/224 - t**7/420 + t**6/30 - t**5/30 - 6*t**2. Let a(f) = 0. What is f?
-2, 0, 2/3, 1
Factor -3/7*l**4 + 0*l**2 + 0*l**3 + 0 + 0*l.
-3*l**4/7
Let s(l) = 1. Let h(u) = 3*u**2 - 15. Suppose -3*g + 4*g = -12. Let i(v) = g*s(v) - h(v). Factor i(w).
-3*(w - 1)*(w + 1)
Let j(v) = -3*v**2 - v - 1. Let q be j(-2). Let t = 13 + q. Determine u so that -1/3 - 1/3*u**t + 2/3*u = 0.
1
Let u(a) be the first derivative of 0*a**3 + 0*a - 1/2*a**2 - 2 - 1/72*a**4 - 1/180*a**5. Let b(z) be the second derivative of u(z). Let b(l) = 0. What is l?
-1, 0
Let m = 7 - -2. Suppose 4*b - 7*b = -m. Determine g so that -6/5*g + 4/5*g**b - 4/5*g**2 - 2/5 + 2/5*g**5 + 6/5*g**4 = 0.
-1, 1
Let z(b) be the third derivative of b**5/60 + b**4/4 + 3*b**3/2 + 13*b**2. Let z(g) = 0. What is g?
-3
Suppose -3*d + 8*d - 10 = 0. Suppose 2 + 7*r**2 - 3 - d*r**2 + 0 - 4*r = 0. What is r?
-1/5, 1
Let l be 3 - 52/16 - 1/(-2). Factor 1/4*h**4 - 1/4*h**2 - l*h + 1/4*h**3 + 0.
h*(h - 1)*(h + 1)**2/4
Factor -3/2*m + 9/2*m**2 + 3/2*m**3 - 9/2.
3*(m - 1)*(m + 1)*(m + 3)/2
Let c(o) be the first derivative of -3*o**5/10 + 3*o**4/8 + o**3/2 - 3*o**2/4 - 6. Factor c(t).
-3*t*(t - 1)**2*(t + 1)/2
Suppose 0 - 9/8*c + 3/8*c**2 = 0. What is c?
0, 3
Factor -5*z - 5*z**2 - 5/3*z**3 - 5/3.
-5*(z + 1)**3/3
Let q be (-255)/(-4) + (-2)/(-8). Let a = -188/3 + q. What is s in -a - 2*s - 2/3*s**2 = 0?
-2, -1
Factor -6*s**2 + s**3 - 4*s - 3*s**2 + 6*s**2.
s*(s - 4)*(s + 1)
Let j be -4*3/(-6) - 2. Suppose 0 = -3*a + 3, 4*c - c - 3*a - 9 = j. Factor -2*z**4 + 0*z**4 + c*z**2 - 2*z**2.
-2*z**2*(z - 1)*(z + 1)
Let k(i) be the third derivative of i**6/40 + i**5/20 - i**4/8 - i**3/2 + 3*i**2. Determine s so that k(s) = 0.
-1, 1
Let u = 209/2 - 104. Let -1/2*h**2 - u*h + 0 = 0. Calculate h.
-1, 0
Let w = -1 - -5/4. Let q = 50 - 48. Find z such that -1/4*z**3 - 1/2*z**q - w*z + 0 = 0.
-1, 0
Let o(c) = -2*c - 10. Let z be o(-6). Let y = 168/445 - -2/89. Factor -2/5*q**z + y - 2/5*q + 2/5*q**3.
2*(q - 1)**2*(q + 1)/5
Let z(c) be the third derivative of -c**6/24 + c**5/4 - 5*c**4/8 + 5*c**3/6 - 9*c**2. Find n such that z(n) = 0.
1
Let y(a) be the first derivative of -2*a**5/5 + 3*a**4/2 - 2*a**3/3 - 3*a**2 + 4*a - 22. Solve y(h) = 0.
-1, 1, 2
Let o(n) be the first derivative of -2*n**3/3 - 7*n**2 - 12*n - 53. Let o(h) = 0. Calculate h.
-6, -1
Suppose -1 - 12 = -5*j + u, -5*j + 19 = -3*u. Factor -6*f - 2 - 5*f**2 + j*f - 2 + 4*f**2.
-(f + 2)**2
Solve -7/2*b**2 - 1/2*b**4 + 0 - 5/2*b**3 - 3/2*b = 0.
-3, -1, 0
Let v = -13/35 - -3/35. Let w = v - -11/14. Factor 2 + w*k**2 + 2*k.
(k + 2)**2/2
Let l(x) be the second derivative of -x**7/147 - 2*x**6/105 + x**4/21 + x**3/21 - 11*x. Let l(k) = 0. Calculate k.
-1, 0, 1
Determine t, given that -5*t - 350*t**2 + 351*t**2 + 4*t = 0.
0, 1
Let o(r) = r**3 - 5*r**2 + 8*r - 2. Let w be o(3). Factor 0*z**2 + 0 - 1/3*z**3 + 2/3*z**w + 0*z - 1/3*z**5.
-z**3*(z - 1)**2/3
Suppose 52*o - 186 = -10*o. Factor 0 + 8/7*v + 2/7*v**o - 8/7*v**2.
2*v*(v - 2)**2/7
Let r = 19 - 28. Let t(f) = -f**2 - 9*f + 2. Let x be t(r). What is o in x*o - 2*o**4 + 2*o**3 - 6*o**3 + 2*o**5 + 0*o**2 - 2 + 2*o**2 + 2*o**2 = 0?
-1, 1
Let b(c) be the first derivative of -c**6/480 - c**5/80 - c**4/32 - c**3/24 - 3*c**2/2 + 2. Let n(p) be the second derivative of b(p). Factor n(l).
-(l + 1)**3/4
Let y(n) be the first derivative of -1 + 1/8*n**4 + 0*n**3 + 2/5*n**5 + 0*n + 0*n**2. Factor y(b).
b**3*(4*b + 1)/2
Let b(p) be the third derivative of p**8/84 + 2*p**7/35 + p**6/10 + p**5/15 - 10*p**2. Suppose b(s) = 0. Calculate s.
-1, 0
Factor 186/11*s - 14/11*s**2 - 52/11.
-2*(s - 13)*(7*s - 2)/11
Let b = -1436 - -1440. Factor 0 - 2/11*a**b - 16/11*a**2 + 10/11*a**3 + 8/11*a.
-2*a*(a - 2)**2*(a - 1)/11
Let k(c) be the first derivative of -c**8/2240