)/9
Suppose 0 = -4*k + 4*o + 36 + 8, 2*k - 10 = -o. What is v in -43 + k*v - v**2 + 9*v - 21 = 0?
8
Let h(x) = -7*x**5 - 8*x**4 + 9*x**3 + 8*x**2 + 4*x - 6. Let d(r) = 6*r**5 + 7*r**4 - 8*r**3 - 8*r**2 - 4*r + 5. Let z(u) = -6*d(u) - 5*h(u). Factor z(l).
-l*(l - 2)*(l + 1)**2*(l + 2)
Let t = -36 + 51. What is i in -4*i**2 + 10*i**3 + t*i**2 + 23*i - 5*i + 13*i**2 + 4 = 0?
-1, -2/5
Suppose -5*v = 5*c - 25, 2*c + 15 = -0*c + 3*v. Suppose -4*b + 5*o + 52 = 3*o, -5*o - 20 = c. Factor 2*y**4 + 2*y**4 - b*y**2 + 15*y**2 + y + y**5 + 6*y**3.
y*(y + 1)**4
Factor 0 + 1/7*v**4 + 0*v**3 - 16/7*v - 12/7*v**2.
v*(v - 4)*(v + 2)**2/7
Let -6*a**4 + 80*a - 90*a**2 + a**4 - 25 - a**3 + 41*a**3 = 0. Calculate a.
1, 5
Factor -6 + 18*r - 3/2*r**4 - 39/2*r**2 + 9*r**3.
-3*(r - 2)**2*(r - 1)**2/2
Let m(g) be the third derivative of -2*g**7/105 - 11*g**6/30 + 9*g**5/5 + 11*g**4/6 - 52*g**3/3 + 22*g**2 + 2. Let m(j) = 0. What is j?
-13, -1, 1, 2
Let j(t) be the third derivative of t**6/60 + 2*t**5/15 + 5*t**4/12 + 2*t**3/3 + t**2 - 32*t. Solve j(h) = 0.
-2, -1
Let w(p) be the first derivative of 3*p**5/10 - 7*p**4/8 - p**3 - 77. Factor w(l).
l**2*(l - 3)*(3*l + 2)/2
Let k(l) = 7*l**3 - 204*l**2 + 3468*l + 12. Let i(h) = 6*h**3 - 204*h**2 + 3468*h + 9. Let z(g) = -4*i(g) + 3*k(g). Determine x, given that z(x) = 0.
0, 34
Let h(p) be the third derivative of -p**8/70560 - p**7/17640 - 13*p**5/60 + 9*p**2. Let f(n) be the third derivative of h(n). Factor f(k).
-2*k*(k + 1)/7
Let m be 189930/65520 - 1/24. Factor -4*o**2 + m + 2*o - 6/7*o**3.
-2*(o - 1)*(o + 5)*(3*o + 2)/7
Let n(y) = y**2 - 1. Let d(v) = -4*v**2 + 28*v + 104. Let k(c) = -d(c) - 6*n(c). Solve k(s) = 0 for s.
-7
Factor 12/5*l**2 + 21/5*l + 1/5*l**3 + 2.
(l + 1)**2*(l + 10)/5
Suppose -5*m + 2 = -8. Solve 3*g**2 - 5*g - 4*g + 0*g**m + 6 = 0.
1, 2
Let r(t) = -t**3 + 7*t**2 + 3. Let u be 5 - (9 - (-8)/(-4)). Let z(f) = -1. Let q(o) = u*r(o) - 6*z(o). Suppose q(j) = 0. Calculate j.
0, 7
Let u = 53 + -49. Factor 262*q**2 + q**5 - 252*q**2 + u*q**5 - 5*q - 10*q**4.
5*q*(q - 1)**3*(q + 1)
Let n(u) be the first derivative of -5*u**9/4536 - u**8/360 - u**7/630 + 8*u**3/3 + 3. Let k(a) be the third derivative of n(a). Factor k(r).
-2*r**3*(r + 1)*(5*r + 2)/3
Let f(o) = -10*o**2 - 674*o - 28912. Let q(w) = w**2 - w + 2. Let x(h) = -f(h) - 6*q(h). Let x(t) = 0. What is t?
-85
Let o(g) = -g**4 + g**3 + g**2 + g - 1. Let b(j) = -10*j**4 + 8*j**3 + 10*j**2 + 16*j - 12. Let f(i) = -b(i) + 12*o(i). Let f(y) = 0. What is y?
-1, 0, 1, 2
Let s(g) = 5*g - 2. Let h be s(1). Suppose -3*k + 17 = -4*m, 4*k + 2*m + h = 11. Solve 0 - 2/11*d**k - 4/11*d - 6/11*d**2 = 0 for d.
-2, -1, 0
Let x(t) be the second derivative of 0 + 3/16*t**4 - 3/8*t**2 - 36*t - 1/4*t**3. Factor x(q).
3*(q - 1)*(3*q + 1)/4
Let d be 7 - (-6 + 483/35) - 161/(-70). Find a such that -1/2*a - 3/2 + d*a**2 + 1/2*a**3 = 0.
-3, -1, 1
Let d = 28 - 19. Factor 0*a**2 + a - 2*a**2 + 0*a + d*a + 12.
-2*(a - 6)*(a + 1)
Suppose -4*h + 6 = 3*x - 14, 4*h - x - 4 = 0. Suppose v - v**h - 2226 + 2226 = 0. What is v?
0, 1
Suppose 2*o - 6 = 3*q - 22, 0 = -2*q - 2*o - 6. Let 15*t + 7 + 5*t - q + 20*t**2 = 0. What is t?
-1/2
Let i(d) be the second derivative of -d**6/90 + 11*d**5/20 + 143*d**4/36 + 61*d**3/6 + 37*d**2/3 + 353*d. Factor i(n).
-(n - 37)*(n + 1)**2*(n + 2)/3
Let l(c) be the third derivative of -c**5/20 - 13*c**4/4 - 25*c**3/2 - 394*c**2. Solve l(f) = 0 for f.
-25, -1
Let d be 14/(1 - (-24)/(-14)). Let c = 20 + d. Let -c*a + 0 + 1/5*a**2 = 0. What is a?
0, 2
Determine s so that 24/7*s**3 + 0 + 30/7*s**2 + 6/7*s**4 + 12/7*s = 0.
-2, -1, 0
Let b(r) be the second derivative of -r**5/5 + r**4 + 8*r**3/3 - r - 22. Let b(c) = 0. Calculate c.
-1, 0, 4
Factor -7 - 130*b + 8*b - 5*b**2 + 7 - 93*b.
-5*b*(b + 43)
Let k(y) be the third derivative of -y**5/24 + 125*y**4/4 - 9375*y**3 + 126*y**2. Find u, given that k(u) = 0.
150
Let o(w) be the second derivative of w**4/6 - 4*w**3 + 2*w - 93. Factor o(z).
2*z*(z - 12)
Factor -1/5*p**4 + p**3 - 32/5 - 32/5*p + 6/5*p**2.
-(p - 4)**2*(p + 1)*(p + 2)/5
Suppose 0 = v + v - 6. Let n be v/(-2) - (-4 + 4) - -2. Suppose u**4 - u**2 + 1/2*u**5 + 0 - n*u + 0*u**3 = 0. What is u?
-1, 0, 1
Let o(u) be the first derivative of -8 + 0*u**3 - 2/95*u**5 + 2/19*u + 2/19*u**2 - 1/19*u**4. Let o(p) = 0. Calculate p.
-1, 1
Let c(u) be the third derivative of 3/2*u**3 - 1/40*u**5 + 19*u**2 - 1/16*u**4 + 0 + 0*u. Factor c(h).
-3*(h - 2)*(h + 3)/2
Let g be (3 + 0 + -2)/((-20)/(-16)). Suppose 2/5*v**4 - 24/5*v + 18/5 - g*v**2 + 8/5*v**3 = 0. What is v?
-3, 1
Let f(d) = -5*d**4 + 83*d**3 + 462*d**2 - 576*d. Let y(a) = -a**4 + 21*a**3 + 116*a**2 - 144*a. Let p(m) = 2*f(m) - 9*y(m). Let p(q) = 0. What is q?
-12, 0, 1
Let t be 371/28 - (-9)/(-24)*-2. Suppose 6*o = -o + t. Factor 2/3*p + 1/3*p**4 - 1/3 - 2/3*p**3 + 0*p**o.
(p - 1)**3*(p + 1)/3
Let g(r) be the first derivative of 5*r**3/6 + 25*r**2/4 - 35*r + 262. Find s, given that g(s) = 0.
-7, 2
Let u(f) be the second derivative of f**5/40 + f**4/8 + f**3/4 + f**2/4 + f + 6. Factor u(z).
(z + 1)**3/2
Let g(b) be the second derivative of -1849*b**4/24 - 43*b**3/6 - b**2/4 + 34*b. Factor g(j).
-(43*j + 1)**2/2
Let v = -19/3 - -104/15. Let p = 100 + -98. Factor -6/5*q + 3/5 + v*q**p.
3*(q - 1)**2/5
Suppose 16 = j + 5*z, -2*j = -0*j + 3*z - 67. Factor k**5 - 38*k**4 + j*k**4 + k**2 + k**3 + 2*k**3.
k**2*(k + 1)**3
Let c(o) be the first derivative of -3/4*o**4 + 3*o**2 + 6 + 0*o + o**3. Solve c(z) = 0.
-1, 0, 2
Suppose -35 = -4*n - q, 2*q - 5 = 3*q. Let s be ((-4)/(-7))/(n/35). Factor -2/7 - 2/7*l + 2/7*l**3 + 2/7*l**s.
2*(l - 1)*(l + 1)**2/7
Let y = -946 - -948. Let a(d) be the second derivative of -4*d**y - 2*d**3 + 1/5*d**5 - 2*d + 0*d**4 + 0. Find t, given that a(t) = 0.
-1, 2
Let 10*h - 1/3*h**2 + 64/3 = 0. Calculate h.
-2, 32
Let z(u) be the second derivative of 1/72*u**4 + 1/9*u**3 - 6*u + 0 + 1/3*u**2. Factor z(j).
(j + 2)**2/6
Let d = -2723 + 8257/3. Factor -d*z**2 - 8/3*z - 322/3*z**3 - 392/3*z**4 + 0.
-2*z*(4*z + 1)*(7*z + 2)**2/3
Let b(f) = 4*f**2 - 198*f - 516. Let w be b(52). Factor 0*k - 5*k**3 - 5/2*k**5 + 0 - 15/2*k**w + 0*k**2.
-5*k**3*(k + 1)*(k + 2)/2
Let q be (20/(-6))/((-2)/3). Suppose -4*o - 2*s + 16 = 0, 20 = q*o - 3*s - 0*s. Factor 5*z**3 + z - 15*z**2 - 4*z**o + z**5 + 11*z**2 + z**3.
z*(z - 1)**4
Let t be ((-25)/(-5))/(-15) + 1. Determine u, given that 0*u**2 + 0 + 0*u + 2/3*u**5 - t*u**3 + 0*u**4 = 0.
-1, 0, 1
Let h(f) be the third derivative of f**5/48 - 125*f**4/48 + 3125*f**3/24 - f**2 - 91. Suppose h(p) = 0. Calculate p.
25
Let g(c) be the first derivative of -98/15*c**5 + 161/6*c**4 + 16/7*c - 92/21*c**2 - 76/9*c**3 + 30. Determine r, given that g(r) = 0.
-2/7, 2/7, 3
Let j(v) = 4*v**3 + 129*v**2 - 241*v - 78. Let o be j(-34). What is f in -64 - 1/8*f**3 - 3*f**2 - o*f = 0?
-8
Let d(n) be the second derivative of 0 - 38*n + 0*n**2 - 1/90*n**6 + 4/9*n**3 + 1/9*n**4 + 1/126*n**7 - 1/10*n**5. Factor d(t).
t*(t - 2)**2*(t + 1)*(t + 2)/3
Let u(h) = -h**4 - 5*h**3 - 9*h**2 - 11*h - 2. Let m(s) = s**4 + 5*s**3 + 9*s**2 + 12*s + 2. Let o(w) = -4*m(w) - 5*u(w). Determine t, given that o(t) = 0.
-2, -1
Let r be (-1)/((-9)/(-18))*(-3)/30. Factor 2*u**4 - 36/5*u - r*u**5 - 13/5*u**3 - 12*u**2 + 0.
-u*(u - 6)**2*(u + 1)**2/5
Let q(o) = -3*o + 13 - o**2 - 2*o + 15*o - o. Let f be q(9). Factor 5 - f*b - 1 + 11 - 5*b**2 + 23*b.
-5*(b - 3)*(b + 1)
Let v be -1 + 2 + -1 + 8. Determine s, given that -s + 124*s**4 - 2*s**2 + s - 132*s**4 + v*s**3 = 0.
0, 1/2
Let x(l) be the second derivative of -l**6/150 - l**5/60 + l**4/20 + 29*l**2/2 - 24*l. Let z(d) be the first derivative of x(d). Factor z(s).
-s*(s + 2)*(4*s - 3)/5
Let x(r) = 0*r**2 + r**3 + 7*r**2 + 4*r + 14 - 2*r**2 - 5. Let g be x(-4). Suppose g*v - 2*v + 8*v**2 - 5*v = 0. Calculate v.
-1/4, 0
Let l(n) be the first derivative of -3*n**5 - 5*n**4/4 + 20*n**3 + 10*n**2 + 88. Determine o so that l(o) = 0.
-2, -1/3, 0, 2
Let p(b) be the first derivative of -49*b**4/10 + 14*b**3 + 117*b**2/5 + 54*b/5 + 32. Factor p(o).
-2*(o - 3)*(7*o + 3)**2/5
Suppose 231/2*l - 357/4*l**2 - 3*l**3 - 93/4 = 0. What is l?
-31, 1/4, 1
Let d(n) be the third derivative of 100*n**5/3 - 25*n**4/3 + 5*n**3/6 + 149*n**2. Factor d(i).
5*(20*i - 1)**2
Let t(v) be the second d