 1)**2/4
Factor 2/3*q**2 + 56*q + 1176.
2*(q + 42)**2/3
Let q(u) = -6*u - 7 + 31 + 8 + 0*u. Let v be q(5). Factor -2/3*n**v - 2/3 - 4/3*n.
-2*(n + 1)**2/3
Let b(s) be the second derivative of s - 3/7*s**4 - 3/7*s**5 + 0*s**2 - 2/15*s**6 + 0*s**3 - 2/147*s**7 + 0. Let b(y) = 0. Calculate y.
-3, -1, 0
Let j(t) be the first derivative of -t**6/3 + t**4 - t**2 + 77. Determine x so that j(x) = 0.
-1, 0, 1
Let x(c) = 5*c**3 - 40*c**2 + 25*c + 95. Let v(m) = 2*m**3 - 19*m**2 + 12*m + 48. Let u(w) = -5*v(w) + 3*x(w). Factor u(y).
5*(y - 3)**2*(y + 1)
Let q(t) be the second derivative of -3*t**7/91 - 8*t**6/65 + 16*t**5/65 + 41*t**4/39 + 41*t**3/39 + 6*t**2/13 + 2*t - 1. Solve q(f) = 0.
-3, -1, -1/3, 2
Let y(g) be the third derivative of 75*g**8/224 - 11*g**7/21 - 53*g**6/80 + 43*g**5/60 + 5*g**4/4 + 2*g**3/3 - 112*g**2 + g. Determine q, given that y(q) = 0.
-2/5, -2/9, 1
Let z(x) be the first derivative of -5/4*x + 1/12*x**3 - 1/2*x**2 - 3. Factor z(c).
(c - 5)*(c + 1)/4
Let l(v) = -2*v**4 + 2*v**3. Suppose -5*q = -4*h - 7, -2*h - 3 = 3*q + 6. Let z(i) = 2*i**4 - 2*i**3. Let t(m) = h*l(m) - 2*z(m). Factor t(y).
2*y**3*(y - 1)
Factor -46*p + 2*p**3 - 19*p**5 + 46*p + 17*p**5.
-2*p**3*(p - 1)*(p + 1)
Suppose -9/2*g**4 + 93/2*g**2 + 27/2*g**3 - 54 - 3/2*g**5 + 0*g = 0. What is g?
-3, -2, 1, 3
Let p(t) be the first derivative of 4*t**5/5 + 4*t**4 + 4*t**3/3 - 12*t**2 - 5. Determine z so that p(z) = 0.
-3, -2, 0, 1
Let l = 88/3 - 26. Let c(w) be the first derivative of 3 + 5/2*w**2 - l*w**3 + 5*w. Factor c(k).
-5*(k - 1)*(2*k + 1)
Let j be (-20)/18 + 2 - 16/72. Let p(l) be the third derivative of 0*l - 7/12*l**4 - 6*l**2 + 1/15*l**5 + 0 + 7/60*l**6 - j*l**3. Factor p(g).
2*(g - 1)*(g + 1)*(7*g + 2)
Suppose -2*o + 2*v - 9 = -21, 5*v + 12 = -4*o. Factor -2/5*c**o + 2/5 + 0*c.
-2*(c - 1)*(c + 1)/5
Let k be (-10266)/18 + (-24)/4. Let j = 583 + k. Factor -j*g - 50/3 - 2/3*g**2.
-2*(g + 5)**2/3
Suppose 0 = -v - 0*v - 0*v. Suppose x + v = 2. Factor 0 - j + 1/3*j**x.
j*(j - 3)/3
Suppose 6 = -2*i + 4*i. Let q(d) be the third derivative of -6*d**2 - 1/420*d**6 - 1/210*d**5 + 0*d**4 + 0 + 0*d**i + 0*d. Factor q(b).
-2*b**2*(b + 1)/7
Factor 1/6*b**3 + 11/2*b**2 + 0 + 16/3*b.
b*(b + 1)*(b + 32)/6
Let q(r) = 73*r**4 + 464*r**3 + 1239*r**2 + 1472*r + 640. Let f(b) = -18*b**4 - 116*b**3 - 310*b**2 - 368*b - 160. Let n(w) = -9*f(w) - 2*q(w). Factor n(i).
4*(i + 2)**3*(4*i + 5)
Let -3*a**2 - 1 - 9 + a**3 - a + 20 - 7 = 0. What is a?
-1, 1, 3
Suppose -4*k - 3*k = 0. Suppose k = -4*v - 1 + 9. Factor v*h + 9*h + 0*h + h - 4*h**2 - 8.
-4*(h - 2)*(h - 1)
Let w be (-36)/(-81) - (-8)/(-18). Let v(o) be the first derivative of -5 + 0*o**4 - 1/10*o**6 + 0*o + w*o**3 + 0*o**2 + 3/25*o**5. Find i such that v(i) = 0.
0, 1
Suppose 4*t + g - 4 = -0*t, -3*t = -g - 10. Let b(r) be the first derivative of -3/2*r**2 - 3/4*r**4 + t*r**3 + 0*r + 3. Suppose b(h) = 0. Calculate h.
0, 1
Let n be (844/(-633))/((-1)/4). Find w such that 8/3*w**3 - 8/3*w**4 - 4/3*w**5 - 8/3 + n*w**2 - 4/3*w = 0.
-2, -1, 1
Factor 85*m**2 - 8*m**4 - 49*m**2 - 4*m**3 - 4*m**5 - 36*m**2.
-4*m**3*(m + 1)**2
Let q(g) be the first derivative of -44/3*g**3 + 16 - 4*g**2 - 9*g**4 + 0*g. Factor q(j).
-4*j*(j + 1)*(9*j + 2)
Suppose 23*q - 21*q = a - 7, -4*a + 16 = 4*q. Suppose a*m - 5/2 - 5/2*m**2 = 0. Calculate m.
1
Let f(m) be the second derivative of m**4/20 - 37*m**3/10 - 117*m**2/5 + 305*m. Solve f(x) = 0 for x.
-2, 39
Suppose -4*c + 12 = 2*n, 35*n - 30*n - 23 = -3*c. Factor n*w - 1/3*w**2 - 12.
-(w - 6)**2/3
Let z(j) be the second derivative of 0 + 2/27*j**3 + 0*j**2 + 18*j - 1/18*j**4 + 1/90*j**5. Factor z(x).
2*x*(x - 2)*(x - 1)/9
Let r(p) be the third derivative of -p**7/840 - p**6/240 + p**5/16 - p**4/24 - 5*p**3/6 + 75*p**2. Determine k so that r(k) = 0.
-5, -1, 2
Let f = -882/5 - -210. Factor -33*o**2 + 15*o**3 - 36/5 - f*o.
3*(o - 3)*(5*o + 2)**2/5
Suppose 4*g = 471 - 463. Let -4/5*v**g - 36/5*v**4 + 112/5*v - 24*v**3 + 48/5 = 0. What is v?
-3, -2/3, 1
Let k = 39 + -36. Let l be 3/(-2)*(-8)/k. Factor -1 - l*q**4 + 1 - 12*q**3 + 77*q - 61*q.
-4*q*(q - 1)*(q + 2)**2
Let w(m) be the first derivative of 6*m**4 - 162*m - 11 - 36*m**3 - 2/5*m**5 + 108*m**2. Factor w(k).
-2*(k - 3)**4
Let b(z) = 16*z**3 + 51*z**2 + 35*z - 22. Let h(a) = 3*a**3 + 10*a**2 + 7*a - 4. Let y(g) = 4*b(g) - 22*h(g). Factor y(x).
-2*x*(x + 1)*(x + 7)
Let b(a) = 15*a + 3. Let i be b(0). Let u(g) be the first derivative of 2/11*g**2 + 1 + 2/11*g + 2/33*g**i. Factor u(z).
2*(z + 1)**2/11
Let t(a) be the second derivative of a**5/34 + 16*a**4/51 + 37*a**3/51 + 10*a**2/17 + 218*a. Factor t(d).
2*(d + 1)*(d + 5)*(5*d + 2)/17
Let a(y) be the second derivative of -y**8/2184 + y**7/1365 + y**6/780 - y**5/390 + 7*y**2/2 - 9*y. Let b(p) be the first derivative of a(p). Factor b(k).
-2*k**2*(k - 1)**2*(k + 1)/13
Factor -17/5*r + 16/5 + 1/5*r**2.
(r - 16)*(r - 1)/5
Let a(g) be the first derivative of -g**2 - 1/6*g**3 - 2*g + 12. Factor a(c).
-(c + 2)**2/2
Let p(a) be the second derivative of 2/7*a**2 + 2/7*a**3 + 3/70*a**5 + 1/210*a**6 + 16*a + 13/84*a**4 + 0. Factor p(o).
(o + 1)**2*(o + 2)**2/7
Let g(c) = -c**2 - 2*c - 1. Let n(p) be the second derivative of p**3/6 + p**2/2 + 11*p. Let d(r) = 4*g(r) + 3*n(r). Find o such that d(o) = 0.
-1, -1/4
Let m(y) be the third derivative of y**9/181440 - y**8/60480 - y**7/7560 - y**5/4 + 13*y**2. Let a(v) be the third derivative of m(v). Factor a(b).
b*(b - 2)*(b + 1)/3
Let h(b) be the third derivative of 10*b**7/21 - 28*b**6/3 + 188*b**5/5 + 296*b**4/3 + 256*b**3/3 - 90*b**2. Factor h(g).
4*(g - 8)*(g - 4)*(5*g + 2)**2
Let z(j) be the second derivative of j**5/15 + 214*j**4/3 + 91592*j**3/3 + 19600688*j**2/3 - 3*j + 7. Determine h so that z(h) = 0.
-214
Let a(w) be the second derivative of w**4/4 - 2*w**3 - 7*w - 2. Factor a(z).
3*z*(z - 4)
Determine c so that 1/5*c**2 + 8/5*c - 9/5 = 0.
-9, 1
Let a(f) be the third derivative of 0*f + 0 + 25/6*f**3 + 1/60*f**5 + 5/12*f**4 + 4*f**2. Factor a(z).
(z + 5)**2
Let m(n) be the second derivative of 3*n**5/160 + 75*n**4/16 + 1875*n**3/4 + 46875*n**2/2 + 13*n + 8. Factor m(w).
3*(w + 50)**3/8
Suppose 5*l - l - 8 = 0. Factor -4*y**3 + 3 - l*y - 11 + 6*y + 12*y**2 - 4*y**4.
-4*(y - 1)**2*(y + 1)*(y + 2)
Factor 0 + 0*z**2 + 1/2*z**3 - 1/6*z**4 - 2/3*z.
-z*(z - 2)**2*(z + 1)/6
Let b(s) be the first derivative of -34*s**5/15 - 139*s**4/12 - 148*s**3/9 - 2*s**2 + 132. Find p such that b(p) = 0.
-2, -3/34, 0
Let f(p) be the first derivative of -3/16*p**2 - 3/32*p**4 - 9/4*p + 1/2*p**3 + 19. Find o, given that f(o) = 0.
-1, 2, 3
Suppose 4*x = 11 + 9. Let h be (x + 7)*(-6)/(-8). Factor 6 - 5*c**3 - 3*c**4 - 4*c**3 - 3*c**2 + 0*c**3 + h*c + 0*c**3.
-3*(c - 1)*(c + 1)**2*(c + 2)
Factor -26/3 + 11/3*u + 1/3*u**2.
(u - 2)*(u + 13)/3
Let s be ((-4)/3)/((-14)/63). Let h be (-4)/s + (-121)/(-33). Factor -6*v**2 + 0*v**4 - 7*v**4 + 2*v**h - 11*v**3 + 4*v**4.
-3*v**2*(v + 1)*(v + 2)
Let m(h) be the third derivative of -h**7/945 - h**6/15 - 13*h**5/9 - 169*h**4/27 + 2197*h**3/9 - 161*h**2. Factor m(c).
-2*(c - 3)*(c + 13)**3/9
Let f be ((-4)/7)/(45/420*-8). Factor 2/3*x**2 + 0 - f*x.
2*x*(x - 1)/3
Let u = 61 + -57. Factor -2*s**3 + 8*s**3 - u*s**3 + 2*s**4 - 4*s**2.
2*s**2*(s - 1)*(s + 2)
Let l = 1450 - 1445. Let i(u) be the second derivative of 13*u + 4*u**3 + 7/4*u**4 - 3/4*u**l + 0 - 6*u**2. Factor i(a).
-3*(a - 2)*(a + 1)*(5*a - 2)
Let w(p) be the first derivative of 27*p**4/16 + 39*p**3/4 - 87*p**2/8 + 15*p/4 - 171. Let w(l) = 0. What is l?
-5, 1/3
Suppose z = 49 - 42, -5*z = -u - 32. Determine n, given that -1125/2 - 15/2*n**2 - 225/2*n - 1/6*n**u = 0.
-15
Factor 3/2*y**4 - 12 + 69/2*y + 15/2*y**3 - 63/2*y**2.
3*(y - 1)**3*(y + 8)/2
Let 3/4*y**5 - 27/4*y + 63/2*y**2 - 81/2 - 3*y**4 - 6*y**3 = 0. What is y?
-3, -1, 2, 3
Suppose -s + 0 = -4. Factor 4*g**2 + s*g - 2*g**3 - 4*g + g**4 - 3*g**2.
g**2*(g - 1)**2
Suppose 110 = 5*r + 3*g + g, 0 = -5*r + 3*g + 75. Suppose 0 = -5*o + 4*z + 80, -14 - r = -o + 4*z. Suppose o*i - 18 - i**2 + 3*i**2 - 4*i**2 = 0. Calculate i.
3
Factor 2/11*s**4 - 84/11*s**3 - 86/11*s**2 + 0 + 0*s.
2*s**2*(s - 43)*(s + 1)/11
Suppose 0 = -v - 4*r + 24, 0*v - 3*r + 31 = 4*v. Suppose 3*p - 8 = v. Find q such that q**4 - p*q**3 + 4*q - 2 + q**4 + 0 + 0*q**3 = 0.
-1, 1