 3/5 + 9/5*o**2.
-3*(o - 1)**3/5
Let n(a) be the second derivative of a**7/2 - 11*a**6/10 - 51*a**5/140 + 73*a**4/28 - 16*a**3/7 + 6*a**2/7 - 6*a. Suppose n(d) = 0. What is d?
-1, 2/7, 1
Let t be (-8)/(-10)*(-3)/(-72). Let n(a) be the second derivative of 2/3*a**3 + 1/5*a**5 + 0 - 1/2*a**2 - 1/2*a**4 - a - t*a**6. Factor n(h).
-(h - 1)**4
Let m(a) be the third derivative of a**5/15 + a**4 + 6*a**3 + a**2. Determine k so that m(k) = 0.
-3
Let m(y) be the second derivative of 0 + 0*y**2 - 1/16*y**5 + 5/24*y**3 - 5/48*y**4 + 1/24*y**6 + 8*y. Factor m(f).
5*f*(f - 1)**2*(f + 1)/4
Let a(s) be the second derivative of s**5/20 - 7*s**4/60 + s**3/15 - 26*s. Find j, given that a(j) = 0.
0, 2/5, 1
Let o(s) = -14*s**3 + 4*s**2 + 2*s. Let p(l) = -9 - 16*l**2 + 9 + 56*l**3 - 9*l. Let x(y) = -9*o(y) - 2*p(y). Find n, given that x(n) = 0.
0, 2/7
Suppose -2/5*w**4 - 28/5*w**3 - 144/5*w**2 - 64*w - 256/5 = 0. Calculate w.
-4, -2
Let z(r) be the first derivative of 2*r**5/15 - r**4 + 26*r**3/9 - 4*r**2 + 8*r/3 - 5. Factor z(w).
2*(w - 2)**2*(w - 1)**2/3
Let a be (-18)/(-12) + 28/(-32). Let f(m) be the first derivative of -3*m**3 + 3*m**2 + a*m**4 - 2 + 4*m. Factor f(b).
(b - 2)**2*(5*b + 2)/2
Let a(w) = w**2 + 27. Let p be a(0). Let o be 6*3/p*1. Factor -2/3*u**2 - o*u**3 + 0 + 0*u.
-2*u**2*(u + 1)/3
Suppose -i + 5*p + 5 = -0*i, 2*p = -2. Let x(s) be the second derivative of -2/21*s**4 + 11/21*s**3 + 4*s + 3/7*s**2 + i. Factor x(j).
-2*(j - 3)*(4*j + 1)/7
Let f(y) = 2*y**2 + 8*y. Let x(m) be the first derivative of -2*m**3/3 - 9*m**2/2 + 1. Let z(j) = 5*f(j) + 4*x(j). Factor z(a).
2*a*(a + 2)
Factor -2/5*m**2 + 4/5 + 2/5*m.
-2*(m - 2)*(m + 1)/5
Solve 2*y - 8*y**2 - 4*y**4 + 3*y**3 + 23*y**2 - 6*y**2 = 0.
-1, -1/4, 0, 2
Let i = -293 + 595/2. What is d in 7/2*d**2 - i*d**3 + 5/2*d - 9/2*d**4 - 1 = 0?
-1, 1/3, 2/3
Let b be -1*0/(4/2). Let o(y) be the second derivative of 1/30*y**4 + 0*y**2 - 2*y + 2/15*y**3 + b. Let o(r) = 0. Calculate r.
-2, 0
Suppose 6*b - 7*b + 11 = 0. Factor -12*a**3 - a - 2*a**4 + 6 - 4*a**2 + 2*a**5 + 0*a**2 + b*a.
2*(a - 3)*(a - 1)*(a + 1)**3
Let k be (-16)/7 + (-4)/(-14). Let g be -5*3/(k + -1). Find a, given that a**2 + 4 + g*a + 0*a**2 - a = 0.
-2
Suppose -3*t + 7 - 1 = 0. Factor -i**3 + 6*i**2 - 3*i**2 - t*i**5 - 3*i**4 + i**5 + 2*i.
-i*(i - 1)*(i + 1)**2*(i + 2)
Let m = 0 - -5. Factor -k + m*k + 3*k - 3*k**2 - 2*k - 2.
-(k - 1)*(3*k - 2)
Let d(z) be the second derivative of -z**7/126 - z**6/45 + z**5/30 + z**4/9 - z**3/18 - z**2/3 - z - 7. What is n in d(n) = 0?
-2, -1, 1
Let f(p) = 17*p**3 - 70*p**2 + 143*p - 97. Let v(h) = -8*h**3 + 35*h**2 - 72*h + 48. Let q(z) = 3*f(z) + 7*v(z). Factor q(l).
-5*(l - 3)**2*(l - 1)
Let s(c) be the third derivative of -c**5/12 + 5*c**3/6 + 9*c**2. Factor s(k).
-5*(k - 1)*(k + 1)
Let a(v) be the second derivative of -v**7/1260 + v**6/720 - 2*v**2 - 4*v. Let q(l) be the first derivative of a(l). Determine u so that q(u) = 0.
0, 1
Factor 4/3*o**2 + 4*o + 8/3.
4*(o + 1)*(o + 2)/3
Factor 2/5*z**2 + 0 + 2/5*z.
2*z*(z + 1)/5
Let s(n) be the first derivative of 11*n**3 - 18*n**2 + 3*n + 34. Suppose s(g) = 0. What is g?
1/11, 1
Let t(x) be the third derivative of 0*x**4 + 1/90*x**5 - 1/18*x**3 + x**2 + 0 + 0*x - 1/630*x**7 + 0*x**6. Solve t(q) = 0.
-1, 1
Let y(l) = -11*l**2. Let h be y(1). Let z(t) = -2*t - 19. Let r be z(h). Factor -6/11*g**r + 0*g**4 + 0 + 4/11*g**2 + 0*g + 2/11*g**5.
2*g**2*(g - 1)**2*(g + 2)/11
Let x(p) be the second derivative of 0 + 2*p - 8/33*p**3 - 1/66*p**4 - 16/11*p**2. Find q, given that x(q) = 0.
-4
Let q(s) be the first derivative of s**4/84 + s**3/21 + s**2/14 + 3*s - 9. Let k(r) be the first derivative of q(r). What is o in k(o) = 0?
-1
Suppose 2*q - 2*p + 2 = 0, 10*p + 6 = 12*p. Factor 2/7*g**3 - 1/7*g + 0 - 1/7*g**q.
g*(g - 1)*(2*g + 1)/7
Suppose 5*h**5 + 32*h + 0*h**5 + 75*h**3 - 40*h**4 + 36*h**2 + 4*h**2 - 112*h = 0. Calculate h.
-1, 0, 1, 4
Find j, given that 9 + 5*j**2 + 13*j - 4*j**2 - 7*j = 0.
-3
Let u(p) = -p**3 - 5*p**2 + 2*p - 2. Let x be u(-4). Let l(v) = -v**4 + 3*v. Let m(q) = 4*q**4 - 13*q. Let a(d) = x*l(d) - 6*m(d). Factor a(g).
2*g**4
Let m(v) = -v**4 + 4*v**3 + 3*v**2 - 4*v - 4. Let l(o) = 0*o**2 + 1 + 3 + o**4 - 5*o**3 - 3*o**2 + 4*o. Let z(k) = 2*l(k) + 3*m(k). Let z(r) = 0. What is r?
-1, 2
Suppose -4*w + 3*w = -7. Let l = w - 5. Factor 2*i**l - 2*i**3 - 3*i - 2 + 3*i + 2*i + 0*i**3.
-2*(i - 1)**2*(i + 1)
Let n(r) = -10*r**5 + 92*r**4 - 188*r**3 + 192*r**2 - 86*r + 16. Let p(w) = -w**5 - w**4 - w**3 - w**2 + w - 1. Let j(l) = n(l) + 4*p(l). What is i in j(i) = 0?
2/7, 1, 3
Let k = 17 - 15. Let z(o) be the first derivative of 0*o - 1/5*o**k + 2/15*o**3 + 1. Factor z(y).
2*y*(y - 1)/5
Let p(f) = 2*f**3. Let m be p(1). Let 5*b + 2 - 18*b**m - 3*b**3 + 7*b - 24*b**3 + 6 = 0. What is b?
-2/3, 2/3
Factor 1/3*k**2 + 0 + 0*k - 1/3*k**3.
-k**2*(k - 1)/3
Let k(o) = -3*o**3 - o**2 - 2*o. Let b(i) = i**3 + i. Let c(j) = 6*b(j) + 3*k(j). Factor c(y).
-3*y**2*(y + 1)
Let x(w) = -w**2 - 4 - 6 + 14*w - 2*w**2 + 1. Let h(j) = -12*j**2 + 57*j - 36. Let m(z) = 2*h(z) - 9*x(z). Suppose m(p) = 0. What is p?
1, 3
Let -6*g**2 + 3 + 9/2*g**5 - 9*g**3 + 9/2*g + 3*g**4 = 0. What is g?
-1, -2/3, 1
Let n(q) be the third derivative of -2/21*q**3 + 4*q**2 - 1/210*q**5 + 0*q + 0 - 1/28*q**4. Find l, given that n(l) = 0.
-2, -1
Let l(p) be the second derivative of 0*p**2 - 1/80*p**5 - p + 0 - 1/48*p**4 + 1/12*p**3. Factor l(s).
-s*(s - 1)*(s + 2)/4
Let z be 10/(-5) + 2 - 2/(-5). Solve 0 - 6/5*f**4 + 0*f**2 - z*f**5 - 4/5*f**3 + 0*f = 0.
-2, -1, 0
Let t(a) be the first derivative of a**6/27 - a**4/9 + a**2/9 - 5. Suppose t(g) = 0. Calculate g.
-1, 0, 1
Let z(i) be the second derivative of -i**5/90 + 4*i**3/27 + 18*i. Determine f so that z(f) = 0.
-2, 0, 2
Let v be ((-2)/4)/(4/(-8)). Let n be 25/20 - 1/v. Factor -n*y**2 - 1/2*y + 0.
-y*(y + 2)/4
Find c such that -2/13*c**2 + 2 - 24/13*c = 0.
-13, 1
Let l be (-1)/(-1) + (-6)/(-2). Let k(x) = 2*x - 4. Let d be k(l). Let 18*a**5 - 4*a**4 - 2 + 4*a**2 - 2*a - 20*a**5 + 2*a**4 + d*a**3 = 0. Calculate a.
-1, 1
Suppose -3*p = -0*p. Suppose z = -p + 2. What is n in -4*n**2 + 4*n**z - n**2 = 0?
0
Let f be (-3)/(-9)*3 + 14/98. Find l such that f*l**4 + 2/7*l + 0 + 18/7*l**3 + 12/7*l**2 = 0.
-1, -1/4, 0
Factor -16*x + 28 - 7 - 13 + 10*x**2 - 2*x**3.
-2*(x - 2)**2*(x - 1)
Suppose 4*y - 22 = 2*t, -5*t = -0*y - 4*y + 31. Factor -4/3 + 8/3*l + 0*l**2 + 4/3*l**y - 8/3*l**3.
4*(l - 1)**3*(l + 1)/3
Let b be (-16)/(-7) - (-4)/(-14). Let n be 5 - 5 - (-1)/b. Solve 1/2 + 1/2*s**3 - n*s**2 - 1/2*s = 0 for s.
-1, 1
What is q in -57/8*q - 39/4*q**3 - 3/4 - 129/8*q**2 = 0?
-1, -1/2, -2/13
Suppose x - 8 = -x. Let 0*i**4 + 3*i**4 - i**4 - i - 2*i**2 - 3*i**5 + x*i**5 = 0. Calculate i.
-1, 0, 1
Let v = 14/25 - 4/25. Let o = 41/65 + -3/13. Find i, given that o*i - v*i**2 + 0 = 0.
0, 1
Suppose -6*v - 21 = z - v, 5*z = 2*v + 30. Determine x so that x**2 + 2*x**3 - 4*x**2 + x + z*x**2 - 4*x**2 = 0.
0, 1/2, 1
Let s(z) be the second derivative of z**6/120 - z**5/40 - z**4/4 + 5*z**3/6 - 2*z. Let p(o) be the second derivative of s(o). Factor p(u).
3*(u - 2)*(u + 1)
Let k be 2/27*(-54)/(-36). Let w(p) be the second derivative of -1/9*p**3 + 0 + k*p**4 - 2/45*p**6 + 0*p**2 + 4*p + 1/30*p**5. What is x in w(x) = 0?
-1, 0, 1/2, 1
Let f(n) = 20*n**3 + 55*n**2 - 60*n - 335. Let m(q) = 5*q**3 + 14*q**2 - 15*q - 84. Let r(t) = 6*f(t) - 25*m(t). Solve r(i) = 0.
-3, 2
Factor -15/7 - 18/7*r - 3/7*r**2.
-3*(r + 1)*(r + 5)/7
Let t = -485/4 + 122. Let r = 231 + -923/4. Find q, given that 0 - 3/4*q**4 - r*q**5 + 0*q - t*q**3 - 1/4*q**2 = 0.
-1, 0
Let a(o) be the second derivative of -o**6/240 + o**4/96 + 6*o. Let a(s) = 0. What is s?
-1, 0, 1
Let q(y) = -y + 9. Suppose 0 = -p + 3*x + 18, 4*x - 3*x + 39 = 4*p. Let t be q(p). Solve -2*k + 2*k + 2*k**3 + t*k = 0 for k.
0
Let w(n) be the third derivative of 9*n**2 + 0*n + 1/720*n**6 + 0 - 1/144*n**4 - 1/72*n**5 + 1/36*n**3 + 1/504*n**8 + 2/315*n**7. Suppose w(f) = 0. Calculate f.
-1, 1/2
Let q be (-1 - -2) + -6 + 7. Suppose -q = -l - 0. Factor -8/3*f**4 - 2/3*f**5 - 4*f**3 - 2/3*f - 8/3*f**l + 0.
-2*f*(f + 1)**4/3
Factor -2/5*b**2 + 0*b + 0.
-2*b**2/5
Suppose -i = -5*i + 5*f + 5, -5*i - f = -28. Suppose -10 = -3*l + i. Find d, given that