/2
Let h(u) be the first derivative of -22/3*u**3 - 8*u + 19*u**2 - 2*u**4 + 24. Factor h(i).
-2*(i - 1)*(i + 4)*(4*i - 1)
Let t(p) = -6*p**3 - 13*p + 4. Let c(i) = -7*i**3 - i**2 - 14*i + 4. Let g be (-38)/(-8) + (-1)/4*-1. Let m(j) = g*c(j) - 6*t(j). Suppose m(d) = 0. Calculate d.
1, 2
Let r(o) be the first derivative of -o**6/1260 - o**5/140 + 16*o**3/3 + 12. Let d(a) be the third derivative of r(a). Factor d(m).
-2*m*(m + 3)/7
Factor -9/2*m + 0*m**3 - 21/4*m**2 + 0 + 3/4*m**4.
3*m*(m - 3)*(m + 1)*(m + 2)/4
Let u(a) be the third derivative of a**8/896 + a**7/80 + a**6/20 + 3*a**5/40 - 118*a**2 - 2. Determine s so that u(s) = 0.
-3, -2, 0
Suppose -5*z + 1698 = -3*g, -2960 + 927 = -6*z - g. Let d = z - 339. Suppose -4/7*f + 0*f**2 + 4/7*f**3 + d = 0. What is f?
-1, 0, 1
Let t(z) be the second derivative of z**6/135 - z**5/6 + 13*z**4/27 + 9*z. Let t(h) = 0. What is h?
0, 2, 13
Suppose -4*u + 3*f = -6*u + 10, -5*u + 20 = 5*f. Factor -2*s**u - s + s + 0*s.
-2*s**2
Suppose -5*s - c + 33 = 0, 2*c + 11 = -0*s + s. Factor v - 3*v + 12*v**2 - s*v**2.
v*(5*v - 2)
Let 16*y**3 - 46/3 - 16*y + 44/3*y**2 + 2/3*y**4 = 0. Calculate y.
-23, -1, 1
Let y(q) be the third derivative of 0*q + 0 + 1/20*q**5 + 0*q**4 - 2*q**2 + 0*q**3. Factor y(g).
3*g**2
Let g(v) be the first derivative of v**6/900 - v**5/300 - v**4/30 - 32*v**3/3 + 3. Let w(q) be the third derivative of g(q). Factor w(f).
2*(f - 2)*(f + 1)/5
Let o(i) be the first derivative of -i**5/20 - i**4/2 - 2*i**3 + 11*i**2/2 - 14. Let w(g) be the second derivative of o(g). Let w(h) = 0. Calculate h.
-2
Let y = 655 - 653. Let b(x) be the first derivative of 0*x + 5 + 2/9*x**3 + 1/3*x**y. Factor b(j).
2*j*(j + 1)/3
Let y(g) = g - 2. Let n be y(2). Suppose 3*k + n*k - 15 = -4*d, -3*d + 4 = -5*k. Factor 7/3*x**2 - d*x + 2/3.
(x - 1)*(7*x - 2)/3
Determine z, given that -95*z**3 - 75*z**2 - 17*z**4 - 22*z**4 + 9*z**4 + 537*z - 547*z = 0.
-2, -1, -1/6, 0
Let k(o) be the third derivative of o**7/3780 - o**6/5400 + o**4/2 - 6*o**2. Let v(g) be the second derivative of k(g). Factor v(n).
2*n*(5*n - 1)/15
Let d(x) be the second derivative of 361*x**4/18 + 38*x**3/9 + x**2/3 - 2*x - 16. Solve d(q) = 0.
-1/19
Let f(n) = -4*n + 4. Let u be f(-3). Let v = 16 - u. Factor v*x**3 - 3*x**3 + x + 2*x**3.
-x*(x - 1)*(x + 1)
Let w(i) = -2*i**4 - 4*i**3 + 16*i**2 + 4*i - 6. Let b(h) = -h**3 + 3*h**2 + h - 1. Let j(c) = 4*b(c) - w(c). What is a in j(a) = 0?
-1, 1
Let q(i) = -2*i + 1. Let z be q(-1). Suppose 0*m + 5*m**4 + 10*m**z + 28 - 33 - 10*m = 0. What is m?
-1, 1
Let k(p) = 29*p**2 - 107*p + 25. Let m(w) = -15*w**2 + 54*w - 12. Let g(o) = 3*k(o) + 7*m(o). Solve g(z) = 0.
1/6, 3
Let k(l) be the second derivative of l**5/10 + 13*l**4/6 - 14*l**3/3 + 44*l. Factor k(q).
2*q*(q - 1)*(q + 14)
Let r(p) be the third derivative of 54*p**7/35 + 21*p**6/5 - 311*p**5/15 + 58*p**4/3 - 8*p**3 + 305*p**2. Factor r(c).
4*(c - 1)*(c + 3)*(9*c - 2)**2
Suppose 2*w - 5*w + b = -12, -2*w = -b - 9. Suppose w*j = 6*j + a + 1, 0 = -2*j - 3*a - 3. Let 0 - 2/5*g**2 - 1/5*g**3 + j*g = 0. Calculate g.
-2, 0
Let b(c) be the third derivative of -17405*c**5/6 + 295*c**4/3 - 4*c**3/3 - 139*c**2. Let b(j) = 0. Calculate j.
2/295
Let x(t) = 2*t**5 - t**4 + t**3 + t**2 - t. Let s(z) = -44*z**5 + 8*z**4 - 56*z**3 + 32*z**2 + 52*z - 40. Let l(p) = -s(p) - 24*x(p). Find j such that l(j) = 0.
-2, -1, 1, 5
Let h(w) = -4*w**5 - 28*w**4 + 3*w**3 + 229*w**2 - 191*w - 18. Let c(f) = -f**5 - 7*f**4 + f**3 + 57*f**2 - 48*f - 4. Let o(x) = 9*c(x) - 2*h(x). Factor o(t).
-t*(t - 2)*(t - 1)*(t + 5)**2
Let n = -594/41 + 3134/205. Solve -1/5*t**4 + 0*t**3 - 12/5 + 9/5*t**2 + n*t = 0.
-2, 1, 3
Let t = 5/82 + 136/123. Let m be 0 - 0/2 - 1/(-3). Let 5/6*o**2 + 3/2*o + m - t*o**4 - 3/2*o**3 = 0. What is o?
-1, -2/7, 1
Suppose 0 = -79*y + 61*y + 108. Let w(a) be the third derivative of 0*a**3 - 3*a**2 + 1/10*a**y - 2/3*a**4 + 0*a**5 - 2/105*a**7 + 0*a + 0. Factor w(g).
-4*g*(g - 2)**2*(g + 1)
Let x(y) be the first derivative of 5*y**4/4 - 25*y**3/3 - 165*y**2/2 - 135*y + 586. Determine p, given that x(p) = 0.
-3, -1, 9
Suppose 2/7*p**4 - 36/7*p**3 + 122/7*p**2 + 360/7*p + 200/7 = 0. Calculate p.
-1, 10
Let m(t) be the first derivative of t**5/45 + t**4/54 - t**3/27 + 25*t - 15. Let a(j) be the first derivative of m(j). Let a(g) = 0. Calculate g.
-1, 0, 1/2
Let v(h) be the third derivative of h**6/300 - 3*h**5/50 + 9*h**4/20 - 9*h**3/5 + 5*h**2 - 25. Factor v(a).
2*(a - 3)**3/5
Let v(d) be the first derivative of 1/30*d**5 + 16 - 1/12*d**2 - 1/18*d**3 + 1/24*d**4 + 0*d. Determine q, given that v(q) = 0.
-1, 0, 1
Suppose 2*z - d - 14 = 0, -4*z = -6*z - 2*d + 2. Suppose 3*o - 28 = -o - 4*c, z*o - 29 = -2*c. Factor -10/3*p**3 + 0 + 8/3*p**4 + 0*p - 2/3*p**o + 4/3*p**2.
-2*p**2*(p - 2)*(p - 1)**2/3
Let c(v) = 2*v**2 + 9*v - 24. Let t be c(2). Let w be 1 + ((-2)/20)/((-2)/(-12)). Factor w - 1/5*y**t - 1/5*y.
-(y - 1)*(y + 2)/5
Suppose 42*l - 160 = 22*l. Let u(v) be the first derivative of v - 1/4*v**3 - 1/20*v**5 - 1/4*v**4 - l + 1/2*v**2. Determine h so that u(h) = 0.
-2, -1, 1
Let r(s) be the third derivative of -s**7/210 + s**6/20 - 11*s**5/60 + s**4/4 + 137*s**2. Let r(j) = 0. Calculate j.
0, 1, 2, 3
Let m(f) = f**3 - 68*f**2 - 114*f - 1817. Let t be m(70). Factor 14/23 + 10/23*h**2 - 26/23*h + 2/23*h**t.
2*(h - 1)**2*(h + 7)/23
Let f(q) be the second derivative of 0 - 14/15*q**3 - 4/5*q**2 + q**5 + 4/3*q**4 + 11*q. Find k, given that f(k) = 0.
-1, -1/5, 2/5
Let g(f) = -2*f**3 - 3*f**2 - 1. Let r be g(-2). Suppose -2*v + 7 = r. Find q, given that -2/3*q**v + 0 + 4/9*q = 0.
0, 2/3
Let t = 53 + -51. Factor -3 + 3/2*o**t - 3/2*o.
3*(o - 2)*(o + 1)/2
Let k = 33 + -31. Factor 3*a - 3*a**k - 12 + 10 + 8.
-3*(a - 2)*(a + 1)
Let z(x) be the second derivative of 0 + 1/18*x**4 + 5/9*x**3 + 2*x**2 - 27*x. Factor z(w).
2*(w + 2)*(w + 3)/3
Let b(s) be the first derivative of -24*s**3 + 51*s**2 - 9 + 389*s**3 + 30 - 76*s**3 + 3*s. Factor b(w).
3*(17*w + 1)**2
Let x(g) = -2227*g**2 - 110*g - 8. Let o(z) = -11*z**2 + 2*z + 1. Let n(d) = -28*o(d) - 4*x(d). Suppose n(s) = 0. What is s?
-1/48
Let h(u) be the third derivative of u**6/300 - 2*u**5/5 + 39*u**4/20 - 58*u**3/15 - 43*u**2. Solve h(m) = 0 for m.
1, 58
Let g(p) be the first derivative of 169*p**5/450 - 13*p**4/45 + 4*p**3/45 + 15*p**2/2 - 17. Let h(q) be the second derivative of g(q). Factor h(y).
2*(13*y - 2)**2/15
Suppose -5*x = -z + 19, 2*z + 32 = -4*x + 7*z. Let u(c) = c - 1. Let o(g) = -121*g**2 + 64*g - 7. Let i(v) = x*o(v) - 6*u(v). Factor i(k).
3*(11*k - 3)**2
Suppose u - 4*i + 3*i = 1, 0 = 5*u - 3*i - 11. Suppose u*w + 4*h + h = 9, 5*h = 3*w - 33. Suppose 3*n**2 - w + 6 - 12*n = 0. What is n?
0, 4
Determine c so that -20*c**4 - 55*c**3 - 4*c**5 - 8*c - 69*c**3 + 10*c + 112*c**3 + 14*c + 20*c**2 = 0.
-4, -1, 0, 1
Let o(b) be the first derivative of -b**6/6 - 8*b**5/5 - 23*b**4/4 - 28*b**3/3 - 6*b**2 - 441. Find d such that o(d) = 0.
-3, -2, -1, 0
Let x = 15 + -21. Let w be 4 + (-44)/12 - 10/x. Solve 6/5*j - 4/5 - 2/5*j**w = 0.
1, 2
Let w(j) be the first derivative of 3*j**4/8 - 3*j**3 + 15*j**2/4 + 49. Determine h so that w(h) = 0.
0, 1, 5
Factor 5*j**3 - 92*j + 72*j + 60 - 12*j**2 - 3*j**2.
5*(j - 3)*(j - 2)*(j + 2)
Determine l so that 0 - 1/5*l**3 - 1/5*l**2 + 1/5*l + 1/5*l**4 = 0.
-1, 0, 1
Let g(p) be the second derivative of 18*p + 8/3*p**3 + 0*p**2 - 4*p**4 + 2/3*p**6 + 3/5*p**5 + 0. Let g(s) = 0. Calculate s.
-2, 0, 2/5, 1
Let s(q) be the second derivative of q**5/40 - 11*q**4/24 + 13*q**3/4 - 45*q**2/4 + 2*q - 334. Factor s(a).
(a - 5)*(a - 3)**2/2
Determine t, given that -1922/15 - 4/15*t**3 - 248*t + 82/5*t**2 = 0.
-1/2, 31
Let i(u) be the first derivative of -u**3/3 - 3*u**2 - 8*u + 7. Let t be i(-4). Suppose 2/5*l**2 - 4/5*l + t = 0. What is l?
0, 2
Suppose 6 = -6*z + 12. Let v be (-2 - -3)/z - 4/6. Factor -1/6*m + v - 1/6*m**2.
-(m - 1)*(m + 2)/6
Let b(g) be the second derivative of -27*g**6/10 - 234*g**5/5 - 622*g**4/3 + 208*g**3 - 72*g**2 - 61*g. Factor b(r).
-(r + 6)**2*(9*r - 2)**2
Suppose v - 2*u + 62 = u, u - 56 = v. Let s = v - -373/7. Factor 0 + 0*x + 0*x**2 - s*x**4 + 2/7*x**3.
-2*x**3*(x - 1)/7
Factor 16*m**2 + 36*m + 83 - 179 + 86.
2*(2*m + 5)*(4*m - 1)
Suppose 32*o - 24*o - 224 = 0. Let n be (18/7 - 2) + 