f) = 25*g(f) + m(f). Let q(i) = 0. Calculate i.
-42, 3
Let y be (796/(-80) + 10)*24. Let d = -2442/5 - -490. Factor y*m**3 + 0 - 2/5*m**2 + 0*m + d*m**4.
2*m**2*(m + 1)*(4*m - 1)/5
Suppose 12 = -3*r + 2*i, -i + 208 - 195 = 2*r. What is s in 1/2*s**r + 1/6*s - 1/2 - 1/6*s**3 = 0?
-1, 1, 3
Determine u so that -2/7*u**2 + 0 - 20/7*u = 0.
-10, 0
Let f be ((8 - 2) + (-316)/54)*(-54)/(-12). Let t(h) be the first derivative of 1/9*h**6 + 8/15*h**5 + 0*h**2 + 0*h + 0*h**3 + 19 + f*h**4. Factor t(v).
2*v**3*(v + 2)**2/3
Let a(c) = c**2 - 26*c + 105. Let l be a(21). Factor -8*n - 4*n - 11*n**2 - 7*n + l*n + 2*n - 6.
-(n + 1)*(11*n + 6)
Let o(u) be the third derivative of 11*u**5/12 + 25*u**4/24 - 5*u**3 - 35*u**2 + 4*u. Suppose o(i) = 0. Calculate i.
-1, 6/11
Suppose -f + 16 = 4*z, -z + 2*f - 11 = -2*z. Let r(i) be the first derivative of 2 - 3/5*i**2 - 1/5*i**z - 3/5*i. Factor r(g).
-3*(g + 1)**2/5
Let b(u) = u**4 - u**3 + u - 1. Let w(m) = -8 - 6*m**2 - 6*m**4 - 6*m - 6 + 36 + 5*m**3 + m**3 - 10. Let g(a) = -8*b(a) - w(a). Suppose g(d) = 0. Calculate d.
-1, 1, 2
Let v = -4785 - -4787. Let x(k) be the first derivative of 0*k - 1/2*k**v + 5/6*k**3 - 3/8*k**4 - 10 - 1/10*k**5 + 1/12*k**6. Factor x(n).
n*(n - 1)**3*(n + 2)/2
Factor -47524/9 - 1/9*y**2 - 436/9*y.
-(y + 218)**2/9
Solve -1/7*k**3 - 296/7*k + 468/7 + 33/7*k**2 = 0 for k.
2, 13, 18
Let l(q) be the first derivative of -13/24*q**3 - 56 - 1/40*q**5 - 1/2*q - 3/16*q**4 - 3/4*q**2. Factor l(i).
-(i + 1)**2*(i + 2)**2/8
Let k(v) be the first derivative of 18*v**5/35 - 57*v**4/14 + 248*v**3/21 - 108*v**2/7 + 64*v/7 - 1593. Solve k(q) = 0.
2/3, 1, 2, 8/3
Let o(y) = -y**3 - 94*y**2 - 725*y - 1748. Let k(q) = q**3 + 101*q**2 + 725*q + 1747. Let p(i) = -2*k(i) - 3*o(i). Factor p(m).
(m + 5)**2*(m + 70)
Let b(l) = 195*l**2 - 16415*l - 502170. Let a(x) = 7*x**2 - 608*x - 18599. Let w(v) = 55*a(v) - 2*b(v). Solve w(z) = 0 for z.
-61
Let i(d) be the third derivative of -4*d**7/1155 - 3*d**6/220 + 79*d**5/165 - 18*d**4/11 - 64*d**3/33 - 987*d**2 - 2. Determine y so that i(y) = 0.
-8, -1/4, 2, 4
Let o be (-90)/((-17)/((-1496)/(-33))). Suppose 256 - o = 8*q. Factor 0 - 4/5*y**q - 16/5*y.
-4*y*(y + 4)/5
Let t(h) be the first derivative of 166 + 0*h**2 + 0*h - 4/3*h**3 - 1/6*h**4 + 2/15*h**5. Solve t(l) = 0 for l.
-2, 0, 3
Suppose -14*m - 51/2*m**2 + 0 - 7*m**4 - 3/4*m**5 + 189/4*m**3 = 0. Calculate m.
-14, -1/3, 0, 1, 4
Let l(j) be the first derivative of 2/27*j**3 - 16/9*j**2 + 40 + 40/9*j + 1/18*j**4. Let l(v) = 0. What is v?
-5, 2
Let m(y) = y**3 + 6*y**2 + 104. Let s be m(0). Let 17*c**3 - 14*c**2 + 40 - s*c + 19*c**3 - 66*c**3 + 24*c**3 + 84*c**2 = 0. Calculate c.
2/3, 1, 10
Let i = -5/1134 - 11035/69174. Let a = i - -223/244. Find w, given that 0*w + a - 3/4*w**2 = 0.
-1, 1
Determine i, given that -104/5*i + 10*i**3 + 8*i**2 + 32/5 = 0.
-2, 2/5, 4/5
Let v(j) be the first derivative of 5*j**3/12 + 1883*j**2/8 - 377*j/2 - 1092. Solve v(g) = 0.
-377, 2/5
Let d be ((-1)/(-3))/(2/26). Let o = -7447 - -22355/3. Determine y, given that -o*y - d - 1/3*y**2 = 0.
-13, -1
Let a(x) be the second derivative of x**5/20 + 31*x**4/12 + 68*x**3/3 + 78*x**2 + 176*x - 3. Factor a(i).
(i + 2)*(i + 3)*(i + 26)
Suppose -106 + 26 - 15*d**2 - 112 - 9*d + 450*d + 45*d = 0. What is d?
2/5, 32
Let i(c) be the second derivative of 0*c**2 - 29*c - 5/18*c**3 + 0 + 1/36*c**4. Suppose i(x) = 0. What is x?
0, 5
Let b be (-6)/(-81) - 15402/(-12231). Factor 4/3 + 1/3*g**2 + b*g.
(g + 2)**2/3
Let p(o) = 7*o**3 - o. Suppose z - 1 = -0. Let d be p(z). Solve 0 - 3*a + d + a - 2*a**2 + 6*a = 0 for a.
-1, 3
Let o be 4/10 + ((-78)/(-10))/3. Suppose o*s = 7*s - 16. Determine z, given that s*z**4 - z + 60*z**2 + 26*z + 28*z**3 + 11*z = 0.
-3, -1, 0
Factor -224*a + 114198 + 29664*a + 78941 - 720*a**2 - 51473 + 124574 - 5*a**4 - 175*a**3.
-5*(a - 13)*(a + 16)**3
Let g(u) be the first derivative of -99 + 1/7*u**4 + 12/7*u**2 - 20/21*u**3 + 0*u. Factor g(t).
4*t*(t - 3)*(t - 2)/7
Let f(g) = 29*g**3 - 9*g**2 - 60*g + 49. Let b(l) = 9*l - 7*l**3 - 2*l + 8*l + 0*l**3 + 2*l**2 - 12. Let s(z) = -9*b(z) - 2*f(z). Factor s(k).
5*(k - 1)**2*(k + 2)
Let r = -5403 - -108061/20. Let v(b) be the second derivative of -9/50*b**5 - r*b**4 - 24/5*b**2 + 12/5*b**3 + 0 - 26*b - 1/50*b**6. Factor v(h).
-3*(h - 1)**2*(h + 4)**2/5
Find n, given that 2/9*n**5 + 0 - 10*n**4 + 0*n - 32*n**3 + 0*n**2 = 0.
-3, 0, 48
Factor -5/7*g**2 + 8/7*g + 1/7*g**3 - 4/7.
(g - 2)**2*(g - 1)/7
Let v be 6 - ((-790)/(-40) + -14). Let k(c) be the first derivative of -v*c**4 + 1/5*c**5 - 9 + 1/6*c**6 - 1/3*c**3 + 0*c**2 + 0*c. Factor k(p).
p**2*(p - 1)*(p + 1)**2
Let s be 8 + 13/((-781950)/481203). Let r = s + 7699217/340850. Determine h so that -2/17*h**3 + 1024/17 - r*h + 48/17*h**2 = 0.
8
Let o(m) be the second derivative of -7/48*m**3 - 14 - 2*m + 3/8*m**2 + 0*m**4 + 1/160*m**5. Factor o(a).
(a - 2)*(a - 1)*(a + 3)/8
Let r(x) be the second derivative of -7/6*x**6 + 10/21*x**7 + 0*x**2 + 0*x**3 + 28*x + 0 + 0*x**4 - 1/2*x**5. Find j such that r(j) = 0.
-1/4, 0, 2
Let k(w) be the second derivative of 5/4*w**5 + 0 + 0*w**2 + 2/3*w**6 + 0*w**3 - w + 5/42*w**7 + 5/6*w**4. Factor k(p).
5*p**2*(p + 1)**2*(p + 2)
Let w(x) = -3*x + 6. Let m(j) = j - 4. Let v(z) = -6*m(z) - 3*w(z). Let o be v(-1). Factor 10/9*r**2 - 8/9*r - 2/9*r**o + 0.
-2*r*(r - 4)*(r - 1)/9
Let q(l) = 24*l**2 - 26*l - 94. Let n(x) = -2*x**3 - 5*x + 1. Let v(j) = -2*n(j) + q(j). Factor v(h).
4*(h - 2)*(h + 2)*(h + 6)
Let b(j) = -36*j**2 + 1601*j + 506. Let k(v) = -10*v**2 + 400*v + 126. Let a(p) = 4*b(p) - 15*k(p). Determine i, given that a(i) = 0.
-67, -1/3
Let p(b) be the first derivative of -b**4/12 + 2*b**2 - 20*b - 5. Let h(v) be the first derivative of p(v). Factor h(d).
-(d - 2)*(d + 2)
Suppose -5*i + 32 = -8. Let u(o) = 2*o**2 + 10*o + 3. Let v(r) = -6*r**2 - 30*r - 8. Let m(k) = i*u(k) + 3*v(k). Let m(d) = 0. What is d?
-5, 0
Let f(q) = -16*q**4 + 25*q**2 + 1139*q**3 - 2320*q**3 + 15*q + 1163*q**3 + 3. Let d(m) = 2*m**4 - 2*m**3 - m**2 - m - 1. Let y(s) = 3*d(s) + f(s). Factor y(r).
-2*r*(r - 1)*(r + 3)*(5*r + 2)
Let q be (-1)/4 - (-8292739)/(-52). Let p = q + 1119248/7. Solve -p - 972/7*n - 108/7*n**2 - 4/7*n**3 = 0 for n.
-9
Let q(l) be the second derivative of 1/105*l**7 + 143/25*l**5 + 28/75*l**6 + 0*l**2 + 2 + 135*l**3 + 42*l**4 + 206*l. What is f in q(f) = 0?
-9, -5, 0
Suppose -4*h - 4*m = -3*m + 65, -4*m = 20. Let r(d) = d**2 - d + 1. Let x(g) = -12*g**2 - 12*g - 81. Let u(l) = h*r(l) - x(l). Factor u(n).
-3*(n - 11)*(n + 2)
Let q be 13140/(-2920) + 51/6. Factor -4*c**2 + 0 + 4/5*c**q + 4/5*c**5 - 12/5*c**3 - 8/5*c.
4*c*(c - 2)*(c + 1)**3/5
Let r(s) be the second derivative of -s**7/21 - 2*s**6/3 - 19*s**5/10 + 5*s**4 - 206*s. Let r(b) = 0. What is b?
-6, -5, 0, 1
Let b be -16*(-35)/(-840)*-3. Determine v, given that 2/15*v**b - 2/3*v - 28/15 = 0.
-2, 7
Suppose -4*j - 2*a - 22 + 4 = 0, -5*j = -4*a + 42. Let k be j - 3/(21/(-56)). Suppose 2/3 - 8/15*m - 2/15*m**k = 0. Calculate m.
-5, 1
Suppose 719*t - 721*t + 2*v - 10 = 0, -5 = -v. Let j(c) be the third derivative of 0 - 1/30*c**5 + 21*c**2 + 1/4*c**4 - 2/3*c**3 + t*c. Factor j(u).
-2*(u - 2)*(u - 1)
Let w(o) be the first derivative of o**8/6720 - o**6/480 - o**5/240 + 2*o**3/3 + 14*o**2 - 42. Let t(q) be the third derivative of w(q). What is c in t(c) = 0?
-1, 0, 2
Let i be (-161)/(-21) - (-31 + 37). Let j(r) be the first derivative of 0*r**2 + 7/5*r**5 + 0*r + i*r**3 + 40 - 1/6*r**6 - 11/4*r**4. Factor j(g).
-g**2*(g - 5)*(g - 1)**2
Let u = -40147/19236 - -6/1603. Let q = -11/36 - u. Factor -8/9*k**2 + 0*k - 2/9*k**5 - 10/9*k**4 + 0 - q*k**3.
-2*k**2*(k + 1)*(k + 2)**2/9
Let s(b) = -231*b + 402. Let t be s(10). Let y be 2/(-3) - t/432. Solve 0 - y*v**2 + 5/2*v + 0*v**3 + 5/4*v**4 = 0 for v.
-2, 0, 1
Suppose 0 = 4*o + 5*z - 4 - 24, 0 = o - z + 2. Let b(c) be the third derivative of 1/15*c**4 + 1/150*c**6 + 0*c + 0*c**3 - 1/25*c**5 + 0 - 10*c**o. Factor b(n).
4*n*(n - 2)*(n - 1)/5
Let j be (-354)/13216 + (-20)/(-64). Determine s so that 0*s - j*s**3 + 0 + 4/7*s**2 = 0.
0, 2
Factor 25/6*b**2 + 5/3 - 9/2*b + 1/6*b**4 - 3/2*b**3.
(b - 5)*(b - 2)*(b - 1)**2/6
Let m(b) be the third derivative of b**6/30 - 78*b**5/5 + 923*b**4/6 - 460*b**3 + 11127*b**2. Let m(r) = 0. Wh