 7*o + 6*o**2 + 5*o**k - 6*o**3 - 11*o - o**3 = 0. Calculate o.
0, 1, 2
Let o(n) be the second derivative of -n**4/138 - 176*n**3/69 - 7744*n**2/23 - 214*n. Factor o(g).
-2*(g + 88)**2/23
Let t = -10086 + 70614/7. Suppose 22/7*q + 2/7*q**3 - 12/7 - t*q**2 = 0. What is q?
1, 2, 3
Suppose -86653*x + 86671*x = 36. Determine h, given that 3/4*h**x - 1/4*h**3 + 0*h + 0 = 0.
0, 3
Let g(j) be the second derivative of -5*j**4/12 + 10*j**3/3 - 66*j. Factor g(d).
-5*d*(d - 4)
Let s = -28714/5 + 5744. Find f, given that 0 + 2/5*f**4 - 2/5*f**2 + s*f - 6/5*f**3 = 0.
-1, 0, 1, 3
Let x(u) be the third derivative of 7*u**5/150 - 17*u**4/60 + 2*u**3/3 - 2*u**2 - 57. Find q such that x(q) = 0.
1, 10/7
Let k(p) be the first derivative of p**7/2940 - p**6/630 - 4*p**3 + 7. Let s(h) be the third derivative of k(h). Factor s(g).
2*g**2*(g - 2)/7
Solve -330*x**4 - 48*x + 326*x**4 - 22*x**2 + 74*x**2 = 0 for x.
-4, 0, 1, 3
Suppose -5*m + 6*j = 2*j + 11, -4*m = 5*j - 24. Suppose -s + 8 = m. Factor k**2 + 2 + 13*k - 17*k + s*k.
(k + 1)*(k + 2)
Let h(x) = x. Let t(p) = 5*p**2 + 370*p + 6125. Let d(l) = 20*h(l) - t(l). Let d(g) = 0. Calculate g.
-35
Let l = 14195 + -14190. Suppose 16/13*w**2 + 12/13*w**3 + 0 + 0*w**4 + 6/13*w - 2/13*w**l = 0. What is w?
-1, 0, 3
Let l(n) = -3*n + 48. Let v be l(14). Let u be v/(-9)*(-30)/100. Find z such that 0*z + 1/5*z**2 - u = 0.
-1, 1
Determine t, given that 176*t - 15*t**4 - 14*t**4 - 95*t**3 - 40*t**2 - 109*t**3 - 160 - 7*t**4 + 192*t = 0.
-5, -2, 2/3
Let h(g) be the third derivative of -g**9/75600 - g**8/8400 - g**7/2520 - g**6/1800 - g**4/24 - 17*g**2. Let w(k) be the second derivative of h(k). Factor w(p).
-p*(p + 1)**2*(p + 2)/5
Let y(b) = -8*b**5 + 9*b**4 - 107*b**3 + 55*b**2. Let k(p) = -3*p**5 + 3*p**4 - 36*p**3 + 18*p**2. Let x(d) = 17*k(d) - 6*y(d). Determine g so that x(g) = 0.
-4, 0, 1, 2
Let k(d) be the first derivative of -3*d**4 + 37*d**3 + 405*d**2/2 - 108*d - 391. Factor k(m).
-3*(m - 12)*(m + 3)*(4*m - 1)
Suppose c = 69 - 65. Determine x, given that 4*x**2 + c - 1 - 3 = 0.
0
Let w(r) be the third derivative of -r**7/7560 + r**6/720 - r**5/180 + 25*r**4/24 - 23*r**2. Let p(c) be the second derivative of w(c). Factor p(b).
-(b - 2)*(b - 1)/3
Let a(u) = -u**3 - 1. Let p be a(0). Let h be 3/2*(1 - p). Factor 13*s**4 - 3*s**2 - 7*s**4 + 3*s**h + 3*s**2 + 3*s**5.
3*s**3*(s + 1)**2
Factor -1/2*z**4 + 9/2*z - 15/2*z**2 + 7/2*z**3 + 0.
-z*(z - 3)**2*(z - 1)/2
Let x(g) be the first derivative of 4/3*g**3 - 10*g**2 + 1 + 24*g. Solve x(l) = 0 for l.
2, 3
Suppose 3/5*j - 3/5*j**2 + 6/5 = 0. Calculate j.
-1, 2
Suppose -98 = -4*b - 2*l, -4*b = -3*l - 2*l - 77. Factor 4*z - 4*z**2 - b*z + 43*z.
-4*z*(z - 6)
Let v be (-9)/((-2)/(-4) + 1 + -3). Let d be 0/1 - ((-9)/v + 1). Solve 0*f**4 - f**3 + d*f + 0*f**2 + 1/2*f**5 + 0 = 0 for f.
-1, 0, 1
Let c = -262/9 - -268/9. Suppose -c*x**2 - 2 + 8/3*x = 0. Calculate x.
1, 3
Let x = -85 + 341/4. Find h, given that x*h**2 + 1 + h = 0.
-2
Let d be ((-2)/8)/((-67)/(-68) - 1). Let m = d - 50/3. Factor 0*p**3 - m*p**4 + 0 + p**2 - 2/3*p.
-p*(p - 1)**2*(p + 2)/3
Let x be 1/(-20)*((-6)/2)/((-42)/(-56)). Factor 6/5*t + 11/5*t**2 + 0 - 4/5*t**4 + x*t**3.
-t*(t - 2)*(t + 1)*(4*t + 3)/5
Let c(b) be the first derivative of 0*b - 1/16*b**6 - 9/32*b**4 - 1 + 1/8*b**3 + 0*b**2 + 9/40*b**5. Find a, given that c(a) = 0.
0, 1
Let a be (56/(-70))/((-4)/15). Factor 8/3*m**2 + 2/3*m**5 + 0 + 0*m - 2*m**4 + 0*m**a.
2*m**2*(m - 2)**2*(m + 1)/3
Let w(j) be the first derivative of 1/7*j**2 + 2/21*j**3 + 13 + 0*j - 1/14*j**4 - 2/35*j**5. Solve w(d) = 0 for d.
-1, 0, 1
Let g(v) = v**3 - 6*v**2 + 5*v + 16. Let z be g(4). Factor 0*r**2 + 0*r + 0 + 1/5*r**3 - 1/5*r**z.
-r**3*(r - 1)/5
Let j(v) = 13*v - 182. Let t be j(14). Let w(d) be the third derivative of -1/96*d**4 + 0*d**3 + d**2 + t + 0*d - 1/240*d**5. What is l in w(l) = 0?
-1, 0
Let g be 0 + -4 - -47 - -4. Let s = -93/2 + g. Let 3*y + 2*y**3 + 9/2*y**2 + s = 0. What is y?
-1, -1/4
Suppose -7/3*r - 1/9*r**2 + 5 + 1/9*r**3 = 0. What is r?
-5, 3
Let v be 2/(-22) - (1078/363)/(-7). Factor 0*x + 0 + v*x**4 - 1/3*x**2 - 1/3*x**5 + 1/3*x**3.
-x**2*(x - 1)**2*(x + 1)/3
Let s(r) be the second derivative of -r**5/5 - 23*r**4 - 770*r**3 + 2450*r**2 + 214*r. Factor s(t).
-4*(t - 1)*(t + 35)**2
Let h(q) = -4*q - 18. Let s be h(-5). Factor 2 + 36*c - 21*c**s + 9 + 0*c**2 + 1.
-3*(c - 2)*(7*c + 2)
Let x be 8/(-864)*3 - (-28)/112. Solve -4/9 + 2/9*g + x*g**2 = 0.
-2, 1
Determine z, given that 0 + 48/17*z + 252/17*z**3 + 6*z**4 + 14/17*z**5 + 232/17*z**2 = 0.
-3, -2, -2/7, 0
Suppose -25 - 7 = -120*x + 328. Find a such that 4/7 + 2/7*a - 4/7*a**2 - 2/7*a**x = 0.
-2, -1, 1
Let m(r) be the third derivative of r**6/60 + 8*r**5/15 - r**4/12 - 16*r**3/3 + 25*r**2. Factor m(q).
2*(q - 1)*(q + 1)*(q + 16)
Let p = -26 - -32. Suppose -7*j = -8*j - p*j. Factor -3/2*w**3 + 0*w**2 + j - 3/2*w**5 + 3*w**4 + 0*w.
-3*w**3*(w - 1)**2/2
Factor -4*a**4 + 15*a - 4*a**3 - 6 - 13*a + 2*a - 2 + 12*a**2.
-4*(a - 1)**2*(a + 1)*(a + 2)
Suppose 5*n - 2*p + 113 = -5*p, p = -4*n - 89. Let i = 26 + n. Factor -22*c**4 + 38*c**i + 36*c**3 + 4*c - 5*c**2 + 29*c**2.
4*c*(c + 1)**2*(4*c + 1)
Let n(a) be the first derivative of -a**5/30 + a**4/6 - a**3/6 - 266. Factor n(r).
-r**2*(r - 3)*(r - 1)/6
Let c(a) be the first derivative of -5*a**6/6 - 6*a**5 - 35*a**4/4 + 10*a**3 + 20*a**2 + 358. Determine o, given that c(o) = 0.
-4, -2, -1, 0, 1
Let v(j) = -2*j**3 - 7*j**2 - 17*j - 9. Let b(l) = l**2 - l - 1. Let s(n) = -3*b(n) + v(n). Solve s(a) = 0.
-3, -1
Let r(a) be the third derivative of 1/15*a**5 + 8/3*a**3 - 6*a**2 + 0*a - 2/3*a**4 + 0. Factor r(h).
4*(h - 2)**2
Let b(i) be the first derivative of i**8/1680 + i**7/840 - i**6/180 + i**3 + 16. Let y(r) be the third derivative of b(r). Determine h, given that y(h) = 0.
-2, 0, 1
Let m(r) = 9*r**3 + 2*r**2 - 8*r. Let l be m(2). Let i be ((6/4)/3)/(112/l). Factor -4/7*c**4 + 0 + i*c + 0*c**3 + 4/7*c**2 - 2/7*c**5.
-2*c*(c - 1)*(c + 1)**3/7
Let g(f) be the first derivative of -f**5/150 - f**4/30 - f**3/15 + 15*f**2/2 - 14. Let a(m) be the second derivative of g(m). Determine x so that a(x) = 0.
-1
Let y(z) = -z**3. Let q(k) = -2*k**3 + 4*k**2. Suppose -8 - 6 = 7*w. Let a(n) = w*y(n) - q(n). Let a(c) = 0. What is c?
0, 1
Let -5/2*k**4 + 0 - 15/2*k**3 + 5/2*k**2 + 0*k + 15/2*k**5 = 0. What is k?
-1, 0, 1/3, 1
Suppose 23 = -2*r - 2*k + 33, -5*r + 3*k + 1 = 0. Determine j so that -4/11 - 6/11*j**r - 10/11*j + 2/11*j**4 + 2/11*j**3 = 0.
-1, 2
Let d be 5/(-105)*-6 + (-80)/(-14). Factor 6*q**2 - 9 - 30*q - 18*q**2 - 24*q**2 - d*q**4 + 3*q**4 - 18*q**3.
-3*(q + 1)**3*(q + 3)
Let b(f) = f**2 - 23*f + 46. Let m be b(21). Let -32/9*y + 14/9*y**m - 8/9 + 32/9*y**3 - 2/3*y**2 = 0. What is y?
-2, -1, -2/7, 1
Let o(i) be the third derivative of -1/6*i**6 + 0 - 5/4*i**4 - 3/4*i**5 + 7*i**2 - 5/6*i**3 + 0*i. What is g in o(g) = 0?
-1, -1/4
Let a(o) be the first derivative of -o**6/840 + o**5/28 + 11*o**4/56 + 38*o**3/3 + 45. Let i(s) be the third derivative of a(s). What is u in i(u) = 0?
-1, 11
Solve -60/11*q - 26/11*q**2 + 2/11*q**3 + 0 = 0 for q.
-2, 0, 15
Factor 69*q**3 + 261/4*q**2 + 27/2*q + 0 + 21*q**4.
3*q*(2*q + 3)**2*(7*q + 2)/4
Suppose 3*t = -15*t + 3960. Let i be (-8)/t*((-3 - -1) + -3). Determine h, given that 0 + 6/11*h**3 - 6/11*h**2 + 2/11*h - i*h**4 = 0.
0, 1
Let b = -11 + 13. Let a be b/((0 + -1)*-1). Let -8 - 4*y**2 - 10*y**a + 0*y**2 + 32*y = 0. Calculate y.
2/7, 2
Let w(c) be the first derivative of -c**4/16 - c**3/4 + c + 4. Solve w(j) = 0 for j.
-2, 1
Let g(s) = 6*s**2 + 88*s + 10. Let r(u) = -2*u**2 - 44*u - 4. Let b(n) = -2*g(n) - 5*r(n). What is f in b(f) = 0?
0, 22
Let z = -3913/2 + 1959. Determine d, given that z*d - 5/4*d**2 - 5/4 = 0.
1
Let f(p) be the second derivative of 0 - 7/12*p**3 - 4*p - 3/2*p**2 + 1/8*p**4. Solve f(c) = 0.
-2/3, 3
Let d(w) be the second derivative of -w**6/105 - 3*w**5/14 - 25*w**4/14 - 125*w**3/21 - 8*w + 54. Find o such that d(o) = 0.
-5, 0
What is c in 1/2*c + 0 + c**2 + 1/8*c**4 + 5/8*c**3 = 0?
-2, -1, 0
Suppose -11*y + 23*y - 36 = 0. Let r(z) = -z**3 - 2*z**2 + 1. Let k be r(-2). Factor k - 3*q + 1 + 0*q + q**y + 0*q.
(q - 1)**2*(q + 2)
Let b(a) be the second derivative of a**4/8 - 47*a**3/36 + 5*a**2/6 + 52*a. Factor b(t