63*u + 7. Let r(h) = 2*h**2 - h + 1. Let b(g) = 2*i(g) - 14*r(g). Find w, given that b(w) = 0.
-56, 0
Let m(j) be the second derivative of j**4/6 + 7*j**3 + 20*j**2 - 17*j + 2. Factor m(v).
2*(v + 1)*(v + 20)
Suppose 0 = 10*q - 2*q - 16. Factor -1 - m**3 + 11 - m**q + m - 4 - 5.
-(m - 1)*(m + 1)**2
Let s be ((-40)/(-55))/((6/11)/1). Suppose 4/9*c + 38/9*c**4 + 22/9*c**2 + 44/9*c**3 + 0 + s*c**5 = 0. What is c?
-1, -2/3, -1/2, 0
Let t(g) be the second derivative of -5*g**4/12 + 65*g**3/3 - 845*g**2/2 + 240*g. Factor t(v).
-5*(v - 13)**2
Suppose -170*h**2 - 167*h**2 + 340*h**2 - 12 = 0. What is h?
-2, 2
Let t(o) be the third derivative of 1/2*o**4 + 0 + 1/70*o**7 + 0*o + 2/5*o**5 - 10*o**2 + 0*o**3 + 1/8*o**6. Factor t(f).
3*f*(f + 1)*(f + 2)**2
Let n(p) = 7*p**3 + 10*p**2 + 3*p. Let f be n(-1). Let z(x) be the third derivative of 0*x + f*x**3 + 0 - 8*x**2 + 1/96*x**4 + 1/480*x**5. Factor z(h).
h*(h + 2)/8
Let o(s) = 4*s - 1. Let x(m) = -m**2 - 10*m + 18. Let a(h) = 6*o(h) + 2*x(h). Factor a(w).
-2*(w - 5)*(w + 3)
Let w(i) be the second derivative of -2/27*i**3 + 1/36*i**4 + 0 + 2*i**2 + 9*i - 1/270*i**5. Let z(y) be the first derivative of w(y). Factor z(g).
-2*(g - 2)*(g - 1)/9
Let s(b) = -50*b - 5*b**2 + 0*b**3 + 1 + 51*b - 3*b**3. Let d be (3/9)/((-2)/6). Let g(y) = -y**3 - y**2 + y + 1. Let l(m) = d*g(m) + s(m). Factor l(h).
-2*h**2*(h + 2)
Let l = -25060 - -125308/5. Let 88/5*p + 396/5*p**3 + l + 314/5*p**2 + 162/5*p**4 = 0. What is p?
-1, -2/9
Let a be ((-6)/(-4)*-4)/1. Let g be (a/(-9))/((-4)/(-18)). Factor -3*f**g - f**3 + 16*f**2 + 0*f**3 + 2 + 6 - 20*f.
-4*(f - 2)*(f - 1)**2
Suppose -96 = 6*w - 96. Let z(f) be the third derivative of -f**2 + w + 0*f - 1/36*f**4 - 11/180*f**5 - 2/45*f**6 - 1/90*f**7 + 0*f**3. Factor z(y).
-y*(y + 1)**2*(7*y + 2)/3
Suppose -4*b - 2 + 14 = 0. Let r = -698/3 + 236. Factor 4/3 - r*v + 8/3*v**2 - 2/3*v**b.
-2*(v - 2)*(v - 1)**2/3
Let q be ((-2)/8)/((-85)/102). Let t(y) be the second derivative of 9/5*y**3 + q*y**4 - 5*y + 27/5*y**2 + 0 + 1/50*y**5. Factor t(h).
2*(h + 3)**3/5
Factor -8*u**2 + 3*u**3 - 19*u**2 + 29 - 3*u - 2.
3*(u - 9)*(u - 1)*(u + 1)
Let n(w) = -3*w + 102. Let s be n(0). Let y be (-4)/10 + (-3 - s/(-30)). Find l, given that 0*l + 2/7*l**3 + 0 + y*l**2 = 0.
0
Let f(z) be the first derivative of 0*z - 1/8*z**2 + 12 - 1/16*z**4 - 1/6*z**3. Find g, given that f(g) = 0.
-1, 0
Let y be (1/2)/(15/10 + -2). Let z be 1 + (-1)/(2/4). Let p(w) = -w**2 + 1. Let t(g) = -11*g**2 - 4*g + 15. Let k(o) = y*t(o) + z*p(o). What is a in k(a) = 0?
-4/3, 1
Let l = 961/21 - 145/3. Let u = -148/63 - l. Suppose -2/3*c**3 - 4/9*c + 0 + 2/9*c**4 - 10/9*c**2 + u*c**5 = 0. Calculate c.
-1, 0, 2
Let l(r) be the second derivative of 6/35*r**5 - 15*r - 12/7*r**2 - 1/70*r**6 + 0 + 11/7*r**3 - 3/4*r**4. Solve l(h) = 0 for h.
1, 2, 4
Let z = 715 + -2143/3. Suppose -o - 9 = -4*o. Find f, given that -1/3*f + 1/3*f**o + 2/3 - z*f**2 = 0.
-1, 1, 2
Let b(o) be the first derivative of -o**5/100 + o**4/5 - 6*o**3/5 + 2*o**2 + o - 17. Let z(a) be the second derivative of b(a). Suppose z(w) = 0. Calculate w.
2, 6
Factor -6572*p - 33*p**2 + 6512*p - 12*p**2 - 20*p**2 - 19*p**2 - 21*p**3 + 3*p**4.
3*p*(p - 10)*(p + 1)*(p + 2)
Let u(p) = -p**2 + 14*p - 21. Let g(t) = t**2 - 2*t - 1. Let a(f) = -3*g(f) - u(f). Factor a(x).
-2*(x - 2)*(x + 6)
Let n(j) be the second derivative of j**5/50 + 11*j**4/10 - 29*j**3/3 + 111*j**2/5 + 5*j + 15. Factor n(w).
2*(w - 3)*(w - 1)*(w + 37)/5
Let o be (17/5 - 3) + 23/5. Factor 112*c**4 + o*c + 15*c**3 - 107*c**4 + 0*c + 15*c**2.
5*c*(c + 1)**3
Let m(v) be the first derivative of 1/5*v**2 - 14 - 12/5*v + 2/15*v**3. Factor m(r).
2*(r - 2)*(r + 3)/5
Let 116/7*g**2 - 48/7 - 10/7*g**3 - 2*g**4 + 136/7*g = 0. What is g?
-2, 2/7, 3
Suppose 6*j - 8*j = 3*a + 52, -j = -1. Let o = 21 + a. Find u, given that -32 - 18*u**2 + 9*u**3 + 4*u**3 + 48*u - 11*u**o + 0*u**2 = 0.
1, 4
Let p(t) be the second derivative of -t**5/70 + t**4/7 - 11*t**3/21 + 6*t**2/7 - 2*t + 93. Find w, given that p(w) = 0.
1, 2, 3
Let u(i) be the second derivative of -i**9/5040 + i**8/2240 + i**7/840 - i**6/240 - 13*i**4/12 - 5*i. Let w(d) be the third derivative of u(d). Factor w(j).
-3*j*(j - 1)**2*(j + 1)
Let a(k) be the first derivative of -5*k**4/4 - 595*k**3/3 - 17995*k**2/2 - 17405*k + 21. Let a(f) = 0. Calculate f.
-59, -1
Let k(v) be the second derivative of -v**4/8 - 23*v**3/4 + 75*v**2/2 - 376*v. Factor k(m).
-3*(m - 2)*(m + 25)/2
Let f(w) be the second derivative of w**5/100 + w**4/120 + 3*w**2 - 16*w. Let s(x) be the first derivative of f(x). Factor s(m).
m*(3*m + 1)/5
Let l(h) be the second derivative of -h**5/24 + 55*h**4/18 + 2*h + 112. Suppose l(x) = 0. Calculate x.
0, 44
Let u(r) be the second derivative of 1/336*r**7 - 1/96*r**4 + 0*r**3 + 0 - 1/160*r**5 - 38*r + 1/240*r**6 + 0*r**2. Factor u(k).
k**2*(k - 1)*(k + 1)**2/8
Let b(l) be the first derivative of 2*l**6/135 - l**5/10 + l**4/9 + 9*l**3 - 9. Let j(z) be the third derivative of b(z). Suppose j(n) = 0. Calculate n.
1/4, 2
Suppose 4*a + a + 2*y - 4 = 0, 3*y = 3*a - 15. Let q = a + 0. Determine p so that 0 - 6/7*p - 10/7*p**3 - 2*p**q - 2/7*p**4 = 0.
-3, -1, 0
Suppose 2*i + 2 = -5*q - 39, 5*i = -q + 1. Let k = -9 - q. Factor m + 0*m - 2*m**2 + 3*m + k*m**2.
-2*m*(m - 2)
Let o be 2/(-11) - 30/(-44). Factor -5/2*b**2 - o*b**3 - 7/2*b - 3/2.
-(b + 1)**2*(b + 3)/2
Let u(n) = 5*n + 133. Let w be u(-26). Let 4/7 + 576/7*l**4 + 96/7*l**w - 8/7*l - 92/7*l**2 = 0. Calculate l.
-1/3, 1/4
Let i(y) = -2*y**3 + y**2 + y + 1. Let w(k) = 3*k**3 - 2*k**2 - 2*k - 2. Let z(m) = 7*i(m) + 3*w(m). Let g be z(-1). Factor -4*t**3 + 4*t**5 + 6*t**2 - g*t**2.
4*t**3*(t - 1)*(t + 1)
Suppose -3*i + 13*i = 0. What is p in i - 3*p**2 - 3 + 3 - 3 - 6*p = 0?
-1
Let a(q) be the second derivative of q**5/20 - q**4/6 + q**3/2 - 3*q**2/2 - 3*q. Let f be a(2). Factor -4*s**2 + 2*s**3 + 4*s**5 + 0*s**4 - 6*s**f + 4*s**4.
4*s**2*(s - 1)*(s + 1)**2
Let u be 2130/4725 + (-6)/14. Let t(f) be the second derivative of -u*f**4 + 1/15*f**3 + 2/15*f**2 + 3*f + 0. Factor t(d).
-2*(d - 2)*(2*d + 1)/15
Let s(b) be the first derivative of 0*b - 2/15*b**4 - 2/15*b**5 + 4/15*b**2 + 53 + 2/9*b**3. Determine w, given that s(w) = 0.
-1, -4/5, 0, 1
Find q, given that -134*q - 5*q**2 + 112*q - 54 - 138*q - 101 = 0.
-31, -1
Let p(j) = 9*j - 1. Let m be p(5). Factor 44 + 15*q - m - 3*q**2.
-3*q*(q - 5)
Let g = -3 - -6. Let n be 8/((-120)/(-27)) + 2/10. Find u, given that -3*u**5 + g*u**4 + u**4 + u**2 + 3*u + n*u**4 - 7*u**2 = 0.
-1, 0, 1
Let d be 4/(-150) + 2444/3525. Factor -d*y**2 - 512/3 - 64/3*y.
-2*(y + 16)**2/3
Suppose 2/3*k**3 - 8/15*k - 2/15*k**5 + 2/15*k**4 + 8/15 - 2/3*k**2 = 0. What is k?
-2, -1, 1, 2
Let b(h) be the first derivative of -9 + 8*h**2 - 64*h - 1/3*h**3. Factor b(q).
-(q - 8)**2
Factor -104/3*i**2 + 4/3*i**3 + 256*i - 384.
4*(i - 12)**2*(i - 2)/3
Let a(n) be the third derivative of n**6/40 - 3*n**5/5 - 99*n**4/8 - 81*n**3 - 267*n**2. Find t, given that a(t) = 0.
-3, 18
Let n(x) be the second derivative of -4/21*x**3 - 1/21*x**4 + 13*x + 6/7*x**2 + 0. Factor n(d).
-4*(d - 1)*(d + 3)/7
Let b = -141250990532/3965 - -35624462. Let s = b - 6/305. Factor 2/13*k**2 + 2/13*k**4 + 0 - s*k**3 + 0*k.
2*k**2*(k - 1)**2/13
Factor 7*l**2 + 2*l - 2*l**2 - 4 - 3*l**2 - 2*l**2 + 2*l**2.
2*(l - 1)*(l + 2)
Let h(c) = 3*c**2 - 10*c + 3. Let s(b) = -b**2 + 3*b - 1. Let o(u) = h(u) + 4*s(u). Factor o(x).
-(x - 1)**2
Let v be 726/164 - (16 + -19). Let m = v + 3/41. Find f, given that m*f + 7/2*f**5 + 15*f**4 + 25*f**3 + 1 + 20*f**2 = 0.
-1, -2/7
Factor 33/5*h - 1/5*h**2 + 34/5.
-(h - 34)*(h + 1)/5
Let x(g) be the first derivative of g**5/10 + 6*g - 13. Let o(i) be the first derivative of x(i). Solve o(p) = 0 for p.
0
Suppose 0 = -5*a - 4*m - 26, 0 = a + 4*a - 2*m + 2. Let u be a/8 + (-119)/(-28). Suppose -4*r**2 + 3 - u*r + 4*r**3 + 1 + 4 - 4*r**2 = 0. Calculate r.
-1, 1, 2
Let g(z) = z**2 - 2. Let y(t) = -18*t**2 + 51*t - 12. Let s(b) = 9*g(b) + y(b). Determine l so that s(l) = 0.
2/3, 5
Let w = -133 - -135. Factor -38/5*j - 9/5*j**w - 8/5.
-(j + 4)*(9*j + 2)/5
Let o(q) be the second derivative of q**5/5 - 38*q**4/3 + 722*q**3/3 - 672*q. Solve o(h) = 0 for h.
0, 19
Let t = 3934/9 - 438. Let g = t - -58/45. Factor -g*q**3 