-f**9/83160 - f**8/36960 + f**7/6930 + f**4/3 + 6*f**2. Let j(i) be the second derivative of u(i). Factor j(r).
-2*r**2*(r - 1)*(r + 2)/11
What is n in 0 - 3/4*n**2 - 6*n = 0?
-8, 0
Let l be (301/(-22) - -3)*14/(-20). Let x = -27/4 + l. Let 16/11*g + 0 - 2/11*g**5 - x*g**2 + 10/11*g**4 - 12/11*g**3 = 0. Calculate g.
-1, 0, 2
Let d(a) be the first derivative of 7/8*a**4 - 2*a**2 + 2*a + 1/6*a**3 + 1/12*a**6 - 1/2*a**5 + 12. Determine o so that d(o) = 0.
-1, 1, 2
Factor 6/11*d**2 + 6/11*d**4 + 0 - 12/11*d**3 + 0*d.
6*d**2*(d - 1)**2/11
Determine a so that 0*a**2 + 2/9*a**4 + 10/3 - 4/3*a**3 + 44/9*a = 0.
-1, 3, 5
Let p(k) be the second derivative of 3*k**5/20 - 3*k**4 + 45*k**3/2 - 75*k**2 + 32*k - 2. Factor p(f).
3*(f - 5)**2*(f - 2)
Let g be (0 - (-102)/8) + (-15)/(-60). Suppose g*i = i. Factor 0 + i*h + h**2 - 3/2*h**3.
-h**2*(3*h - 2)/2
Factor -14/11*a - 2/11*a**2 + 8.
-2*(a - 4)*(a + 11)/11
Let s = -179 + 187. Suppose -s*o - 15 = -13*o. Factor 8*t + 2 + 9/2*t**o + 21/2*t**2.
(t + 1)*(3*t + 2)**2/2
Let c(o) be the first derivative of 45*o + o**5 - 32 - 10/3*o**3 + 5*o**4 - 30*o**2. Factor c(i).
5*(i - 1)**2*(i + 3)**2
Suppose -44/3*r**3 + 0 + 16/3*r**5 - 8/3*r + 12*r**2 + 0*r**4 = 0. What is r?
-2, 0, 1/2, 1
Let -6*p - 2/7*p**3 + 0 - 44/7*p**2 = 0. What is p?
-21, -1, 0
Suppose 5/4*s**3 + 0 + 7605/4*s - 195/2*s**2 = 0. Calculate s.
0, 39
Let i(k) = -k**4 - k**3 + k**2 - k + 1. Let r(o) = 6*o**4 + 6*o**2 - 3*o - 12 + 0 - 33*o**2 - 3*o**3. Let l(x) = 9*i(x) + r(x). Find j such that l(j) = 0.
-1
Let c(l) be the first derivative of 2*l**2 + 3 - 8/15*l**3 + 24/5*l - 1/5*l**4. What is k in c(k) = 0?
-3, -1, 2
Let v = -68 + 68. Let s(r) = -5*r + 2. Let i be s(v). Suppose -4/3*a**i + 4/3 - 2/3*a**3 + 2/3*a = 0. Calculate a.
-2, -1, 1
Let w(f) = f**3 + f**2 - 3*f + 2. Let q be w(2). Suppose -3*y + y = -q. Determine z so that 8*z**2 + z**2 + 23*z**y - 20*z**4 + 9*z**3 - 3*z**2 = 0.
-2, -1, 0
Let b(t) be the first derivative of 1/8*t**2 + 7 - 1/16*t**4 - 1/6*t**3 + 1/2*t. Factor b(d).
-(d - 1)*(d + 1)*(d + 2)/4
Let x be (-2603)/760 + (-133)/(-35). Factor -3/8*a**4 - 3/8*a**3 + 0 + 3/8*a + x*a**2.
-3*a*(a - 1)*(a + 1)**2/8
Suppose -3*v**3 + 6*v**3 - 24*v - 6*v**3 - 18*v**2 = 0. What is v?
-4, -2, 0
Let l = 128 + -143. Let c be (18/(-14) - -1)/(l/7). Factor -c*g**2 - 4/15*g + 0.
-2*g*(g + 2)/15
Let f(w) = w - 8. Let s be f(9). Let q be 7*(10/(-14) + s). Factor 2*a**4 + 2*a**2 + 2 - 5*a**2 - a**q.
2*(a - 1)**2*(a + 1)**2
Let l(i) be the third derivative of 0 + 0*i**3 + 0*i + 3*i**2 + 1/80*i**5 + 3/16*i**4. Factor l(j).
3*j*(j + 6)/4
Let g be (-8)/(-80)*3*6/9. Let 1/5*y**2 - g*y**4 - y**3 + y + 0 = 0. Calculate y.
-5, -1, 0, 1
Suppose 0 = 22*y - 21*y - 5. Let b(u) be the third derivative of 0*u**3 + 0*u - 9*u**2 + 0*u**4 + 0*u**y + 1/240*u**6 - 1/420*u**7 + 0. Factor b(q).
-q**3*(q - 1)/2
Let c be -4 + (1/1 - -2) - -199. Let m be 94/c + (-26)/234. Find k such that 0 - 2/11*k**2 - m*k = 0.
-2, 0
Let i = -109 + 119. Suppose 19 = -i*c + 11*c. Factor -32/3*b**2 - 6 - c*b - 5/3*b**3.
-(b + 3)**2*(5*b + 2)/3
Let n = -77 - -77. Let c**2 + 3*c**2 + 8*c + n*c**2 + 12*c = 0. Calculate c.
-5, 0
Let r(m) be the first derivative of m**3/18 + m**2/3 + 26. Factor r(f).
f*(f + 4)/6
Let t(n) be the second derivative of n**6/150 - 19*n**5/100 - n**4/20 + 11*n**3/6 + 19*n**2/5 - 69*n + 2. Let t(c) = 0. Calculate c.
-1, 2, 19
Factor -13*t - 1/5*t**2 + 66/5.
-(t - 1)*(t + 66)/5
Let u(m) be the second derivative of -3*m**7/98 + m**6/35 + 9*m**5/140 - m**4/14 - 67*m. Determine j, given that u(j) = 0.
-1, 0, 2/3, 1
Suppose 578/9 + 68/9*u + 2/9*u**2 = 0. What is u?
-17
Let i(h) be the third derivative of h**6/60 + 2*h**5/15 - 5*h**4/4 - 6*h**3 + 218*h**2. Find p, given that i(p) = 0.
-6, -1, 3
Let h(z) be the first derivative of -2*z**5/35 - 15*z**4/14 - 26*z**3/7 - 37*z**2/7 - 24*z/7 + 139. Factor h(f).
-2*(f + 1)**3*(f + 12)/7
Suppose -25 = -4*f - f - w, 0 = 4*f - 2*w - 34. Let f*h - h**5 + 5*h**5 - 2*h + 0*h**3 - 8*h**3 = 0. What is h?
-1, 0, 1
Let r be (25/45)/(25/30). Determine n, given that -n**2 + 2/3*n**3 + 0 - r*n + n**4 = 0.
-1, -2/3, 0, 1
Let o(y) be the first derivative of -4*y**3/9 - 2*y**2/3 + 8*y/3 + 258. Solve o(t) = 0 for t.
-2, 1
Let a(t) be the second derivative of t**6/10 - 9*t**5/20 + 3*t**4/4 - t**3/2 - 3*t - 2. Factor a(w).
3*w*(w - 1)**3
Suppose -2*h = -4*j + 6, -3*j - h + 9 = -j. Factor 4*a**5 + 25*a**4 + 32*a**2 + 6*a**4 + 48*a**j - 7*a**4.
4*a**2*(a + 2)**3
Let a(y) be the third derivative of 0*y**5 - 20*y**2 + 0*y**3 + 0*y**4 + 0*y - 1/350*y**7 + 1/100*y**6 + 0. Factor a(f).
-3*f**3*(f - 2)/5
Let z(j) be the third derivative of 2/525*j**7 + 2/15*j**3 + 8*j**2 - 1/60*j**4 + 0*j - 2/75*j**5 + 0 + 1/150*j**6 - 1/840*j**8. Solve z(w) = 0 for w.
-1, 1, 2
Let w be ((-7)/(-5) - 2)/((-16)/80). Determine o so that -2/21*o**w - 4/21*o**2 + 4/21 + 2/21*o = 0.
-2, -1, 1
Let w(x) be the first derivative of 2*x**5/5 + 3*x**4/2 - 10. Suppose w(q) = 0. Calculate q.
-3, 0
Let v(f) be the first derivative of -f**7/105 + f**6/20 - f**5/10 + f**4/12 + 4*f**2 - 12. Let h(r) be the second derivative of v(r). Factor h(l).
-2*l*(l - 1)**3
Let d(i) be the first derivative of i**4/36 + 2*i**3/27 - 10*i**2/9 + 8*i/3 - 91. Factor d(z).
(z - 2)**2*(z + 6)/9
Factor -15*s**2 - 15*s**4 - 3*s + 0 - 3*s**5 - 99/4*s**3.
-3*s*(s + 2)**2*(2*s + 1)**2/4
Let k(c) = 5*c**2 - 11*c - 2. Let v(g) = -4*g**2 + 10*g + 2. Let j = -1 - 7. Let w be -14*(28/j - -3). Let m(i) = w*v(i) + 6*k(i). Solve m(b) = 0 for b.
-1
Let u(b) = b**2 - 13*b - 45. Let w be u(16). Let q(o) = o**3 - o**2 - 2*o. Let t be q(w). Determine p, given that -t*p**2 - 3/4 - 6*p = 0.
-1/4
Suppose 61*h**2 - 88*h**4 + 99*h**4 + 378*h**3 - 208*h**2 - 254*h**4 = 0. Calculate h.
0, 7/9
Let l(t) be the first derivative of -t**3/18 - 23*t**2/12 - 11*t/3 + 176. Solve l(d) = 0.
-22, -1
Let s be (-56)/12*(-24)/28. Let d be 1*(-45)/18*s/(-5). Factor -2/5*n**d - 8/5*n - 8/5.
-2*(n + 2)**2/5
Let k(b) = -11*b**4 - 12*b**3 - 5*b**2. Let x(t) = 17*t**4 + 18*t**3 + 8*t**2. Let i = 87 + -82. Let r(y) = i*x(y) + 8*k(y). Factor r(p).
-3*p**3*(p + 2)
Let q = -2552 + 12762/5. Solve -7/5*j - 3/5*j**2 - q = 0 for j.
-2, -1/3
Find w, given that 35/2*w**2 + 0 + 15*w + 20*w**4 - 105/2*w**3 = 0.
-3/8, 0, 1, 2
Let y(f) be the third derivative of 2*f**7/105 + f**6/12 - 7*f**5/15 - 2*f**4/3 + 190*f**2. Factor y(m).
2*m*(m - 2)*(m + 4)*(2*m + 1)
Let z(g) be the second derivative of 12*g - 1/12*g**4 + 0 + 1/12*g**3 + 0*g**2 + 1/40*g**5. Factor z(r).
r*(r - 1)**2/2
Let v(s) be the first derivative of -s**7/2100 + s**6/300 - s**5/150 - 10*s**3/3 + 9. Let q(u) be the third derivative of v(u). Factor q(y).
-2*y*(y - 2)*(y - 1)/5
Let j(c) = -3*c - 3. Let u(y) = -y**3 + 3*y**2 - y - 3. Let h be u(3). Let p be j(h). Factor 256*i**5 - 18*i**4 + i + 274*i**4 + p*i**3 + 81*i**3 + 16*i**2.
i*(4*i + 1)**4
Find p, given that 9*p**2 + 8*p**2 - 21*p**2 - 13*p + 3*p**2 = 0.
-13, 0
Let s = -140 + 144. Let g be 3/36 - s/(-24). Suppose 3/4*o**2 - g*o**4 - 1/4*o**3 + 1/4*o - 1/2 = 0. What is o?
-2, -1, 1
Let j be (-2)/15 - (-5 - 1344/(-315)). Solve j*g**3 - 21/5*g + 12/5 + 6/5*g**2 = 0 for g.
-4, 1
Let y be 24/(-16) - 35/(-2). Factor -8*r - 7*r**2 - 28 + y + 11*r**2.
4*(r - 3)*(r + 1)
Suppose -2*p**4 + 11/2*p**3 + 0 - p - 5/2*p**2 = 0. Calculate p.
-1/4, 0, 1, 2
Let b(i) be the second derivative of -i**6/9 + 107*i**5/30 - 259*i**4/6 + 2009*i**3/9 - 686*i**2/3 + 69*i + 2. Factor b(g).
-2*(g - 7)**3*(5*g - 2)/3
Let l(w) be the third derivative of w**6/120 + 2*w**5/5 - 17*w**4/8 + 13*w**3/3 + 660*w**2. Factor l(x).
(x - 1)**2*(x + 26)
Let k be ((-138)/1288)/((-4)/64). What is g in 4/7*g + k - 4/7*g**3 - 12/7*g**2 = 0?
-3, -1, 1
Let d(i) be the first derivative of 3*i**2 - 1/20*i**5 + 0*i - 1/8*i**4 + 8 + 0*i**3. Let n(p) be the second derivative of d(p). What is y in n(y) = 0?
-1, 0
Let p(g) = -34*g**2 - 80*g - 21. Let z be p(-2). Factor -1/6*c**z - 5/2*c + 7/6*c**2 + 3/2.
-(c - 3)**2*(c - 1)/6
Let g(a) be the first derivative of 3/4*a**4 + 36*a**2 + 9 + 48*a + 9*a**3. Factor g(h).
3*(h + 1)*(h + 4)**2
Let h(x) be the first derivative of -5*x**3/3 - 5*x**2/2 + 30*x + 118. Determine o so that h(o) = 0.
-3, 2
Determine s, given that -4/7*s - 2/7*s**3 + 10/7*s**2 - 16/7 = 0.
-1, 2, 4
