pose -5*q = -11 + k. Let 1/2 + 1/2*u**q + u = 0. Calculate u.
-1
Suppose 2*b - 3*w + 0 = 15, b + 4*w + 20 = 0. Let u be 1 - 4/10*1. Let 0*c + 0 - u*c**3 - 3/5*c**4 + b*c**2 = 0. What is c?
-1, 0
Let b be 4 - (102/14 - 20/(20/4)). Solve b*q - 2/7 - 1/7*q**3 - 3/7*q**2 + 1/7*q**4 = 0.
-2, 1
Let n(v) be the first derivative of -10 + 8/3*v**2 - 2/9*v**3 - 32/3*v. Factor n(i).
-2*(i - 4)**2/3
Let w(c) be the first derivative of -5*c**6/6 + 6*c**5 + 15*c**4/4 - 100*c**3/3 + 30*c**2 + 129. Suppose w(l) = 0. Calculate l.
-2, 0, 1, 6
Let z = -67453/11 + 6135. What is u in -z*u - 2/11*u**2 - 128/11 = 0?
-8
Let f(t) be the second derivative of -7*t**6/75 - 9*t**5/50 + 11*t**4/10 - 11*t**3/15 - 6*t**2/5 - 38*t - 1. Let f(n) = 0. Calculate n.
-3, -2/7, 1
Factor 7/3*h + 0*h**2 - 1/3*h**3 - 2.
-(h - 2)*(h - 1)*(h + 3)/3
Factor -75/7*x - 12/7*x**2 - 18/7.
-3*(x + 6)*(4*x + 1)/7
Let j be (-1)/78*(-8)/20. Let i(s) be the third derivative of -s**2 + 0*s + 0 + j*s**6 - 7/156*s**4 - 1/78*s**5 + 2/39*s**3. Factor i(a).
2*(a - 2)*(a + 1)*(4*a - 1)/13
Let l(i) = 6*i**4 - 8*i**3 + 2*i**2 + 4*i + 4. Let b = -1 + -2. Let t(c) = -5*c**4 + 7*c**3 - 2*c**2 - 3*c - 3. Let k(m) = b*l(m) - 4*t(m). Factor k(s).
2*s**2*(s - 1)**2
Let w(r) be the first derivative of 1/2*r**2 - 2/9*r**3 + 1/90*r**5 + 0*r - 1/36*r**4 - 2. Let k(n) be the second derivative of w(n). Let k(f) = 0. Calculate f.
-1, 2
Let i(y) = 16*y**2 + 131*y - 6*y**3 - 9*y**2 + 39*y**2 - 2*y**2 - 169. Let n(j) = j**3 - 9*j**2 - 26*j + 34. Let u(f) = 2*i(f) + 11*n(f). What is r in u(r) = 0?
-6, 1
Let i(a) = -a**2 + a + 1. Suppose -3 = 5*m + 4*t, 3*t = -3*m + 2 - 5. Let u(k) = -9*k**2 + 9*k + 12. Let f(j) = m*u(j) - 6*i(j). What is o in f(o) = 0?
-1, 2
Let x(n) be the second derivative of -n**6/180 - n**5/20 - n**4/24 + 13*n**3/18 + 2*n**2 - 526*n. Determine f so that x(f) = 0.
-4, -3, -1, 2
Solve -12/11*m + 2/11*m**2 + 16/11 = 0.
2, 4
Let v(r) = 2*r**3 - 36*r**2 + 208*r + 568. Let m(c) = c**3 - 13*c**2 + 70*c + 189. Let j(n) = 8*m(n) - 3*v(n). Determine w so that j(w) = 0.
-4, 6
Let d(k) be the first derivative of 6 + 0*k + 5/3*k**3 - 1/2*k**2. Suppose d(p) = 0. Calculate p.
0, 1/5
Let a = 32 + 3. Let m be -3*(-1 - 0) + a/(-14). Factor -3/2*d - m*d**3 - 9/2 + 5/2*d**2.
-(d - 3)**2*(d + 1)/2
Let t(j) be the first derivative of -j**3/6 + 13*j**2/2 + 27*j/2 - 275. Determine b so that t(b) = 0.
-1, 27
Factor 0*n - 4/7*n**3 + 0 + 24/7*n**2.
-4*n**2*(n - 6)/7
Let t(c) = -c**3 + 7*c**2 + 9*c - 5. Let z = 14 + -6. Let v be t(z). Factor 7 - 7 - f**2 - 2*f**v.
-f**2*(2*f + 1)
Let p(i) be the second derivative of -1/6*i**3 + 0 - 1/6*i**4 + 1/20*i**5 - i + i**2. Suppose p(g) = 0. What is g?
-1, 1, 2
Let s be (-78)/(-585) + 172/60. Factor -32/11 + 14/11*p**2 + 16/11*p + 2/11*p**s.
2*(p - 1)*(p + 4)**2/11
Let y(f) be the first derivative of -15*f + 12*f - 24*f - 6*f**2 - f**3 - 2 - 3*f**2. Factor y(x).
-3*(x + 3)**2
Solve 0*a - 5/2*a**4 + 0 + 4*a**3 + 1/2*a**5 - 2*a**2 = 0 for a.
0, 1, 2
Let t = -3779 + 3781. Factor 1226/21*q**t + 24/7 + 92/3*q**3 + 184/7*q + 14/3*q**4.
2*(q + 3)**2*(7*q + 2)**2/21
Let x = -12442 - -12444. Find g such that -5/2*g - x*g**2 - 1 - 1/2*g**3 = 0.
-2, -1
Factor 80/11 + 4*y + 2/11*y**2.
2*(y + 2)*(y + 20)/11
Let n(c) be the second derivative of -1/36*c**3 + 0 - 1/36*c**4 - 13*c + 1/12*c**2 - 1/252*c**7 + 1/180*c**6 + 1/60*c**5. Suppose n(i) = 0. Calculate i.
-1, 1
Suppose -6*x + 134 + 28 = 0. Let i = 82/3 - x. Factor -2/3*f**2 + 1/3*f + 1/3*f**4 + i*f**5 + 1/3 - 2/3*f**3.
(f - 1)**2*(f + 1)**3/3
Suppose 5*n + 3*o = -6, -98*n + 5*o + 10 = -96*n. Factor 6/11*s - 16/11*s**2 + 0*s**4 + 12/11*s**3 + n - 2/11*s**5.
-2*s*(s - 1)**3*(s + 3)/11
Let o(p) be the third derivative of p**8/168 - p**7/105 - 11*p**6/10 + 113*p**5/15 + 65*p**4/12 - 75*p**3 + 3*p**2 + 18. Let o(k) = 0. Calculate k.
-9, -1, 1, 5
Suppose h = -4*h + 20. Factor 4*y**3 - 5*y**2 + 8*y**4 - 4*y**h - 3*y**2.
4*y**2*(y - 1)*(y + 2)
Find f, given that 2/7*f**4 + 94/7*f**2 + 2/7*f**5 - 6*f**3 + 24/7 - 80/7*f = 0.
-6, 1, 2
Let m(x) = -4 - x**3 + 3*x**3 - 1 + 7*x**2 - 2. Let v be m(-3). Factor -v*u**2 + 0 + 4/7*u.
-2*u*(7*u - 2)/7
Let -1/6*a**3 + 1/2*a - 2/3*a**2 + 3 = 0. Calculate a.
-3, 2
Let j(u) = 12*u**2 - 7*u - 2. Let k(f) = -48*f**2 + 27*f + 9. Let z(i) = 2*i + 25. Let g be z(-15). Let x(s) = g*k(s) - 21*j(s). Solve x(v) = 0.
1/2
Let b = 15 - 12. Factor -90*w**3 - w + 18*w**5 - 14*w**4 - b*w + 32*w**3 - 12*w - 8 + 78*w**2.
2*(w - 1)**3*(w + 2)*(9*w + 2)
Let x be (-54 - -55) + 2/7. Find a, given that 3/7*a - 3/7*a**3 + x*a**2 - 9/7 = 0.
-1, 1, 3
Let l be ((-9)/15)/((-12)/15). Let z(r) = 11*r - 43. Let x be z(4). Determine w, given that -l*w**2 + 2*w - x = 0.
2/3, 2
Let c(i) be the second derivative of -i**5/20 + i**4/12 - i**2/2 + 14*i. Let d(y) = 6*y**3 - 6*y**2 + 2. Let a(k) = -2*c(k) - d(k). Factor a(b).
-4*b**2*(b - 1)
Suppose 6*c = 13 - 13. Suppose 8*r + c - 24 = 0. Factor 2/7*z**r + 0 + 0*z + 2/7*z**2.
2*z**2*(z + 1)/7
Let h(y) = -y**3 + 8*y**2 - 5*y - 10. Let b be h(7). Suppose -4*x - b*k - 6 = -k, 4 = x - 2*k. Factor x*l + 0 + 3/4*l**3 + 1/4*l**2.
l**2*(3*l + 1)/4
Let n(d) be the third derivative of -d**7/105 - 5*d**6/24 - 9*d**5/10 - 41*d**4/24 - 5*d**3/3 - 25*d**2. Factor n(u).
-(u + 1)**2*(u + 10)*(2*u + 1)
Let y be 72/(-84) + 344/140. Let w(j) be the first derivative of -6 + 8/3*j**3 + j**2 + 0*j + 1/3*j**6 + y*j**5 + 3*j**4. Determine o, given that w(o) = 0.
-1, 0
Let i(a) be the first derivative of -7*a**5/5 - 13*a**4/2 - 9*a**3 - 2*a**2 + 4*a + 494. Factor i(m).
-(m + 1)**2*(m + 2)*(7*m - 2)
Let p(r) = -r**3 + 5*r**2 + 12*r + 6. Let h(f) = -2*f**3 + 11*f**2 + 25*f + 13. Let n(l) = 6*h(l) - 13*p(l). Factor n(k).
k*(k - 2)*(k + 3)
Let p(j) be the second derivative of 0 + 1/30*j**3 + 0*j**2 + 15*j + 1/30*j**4 + 1/100*j**5. Suppose p(v) = 0. Calculate v.
-1, 0
Let a(s) be the first derivative of -49*s**6/27 + 126*s**5/5 - 1243*s**4/18 + 226*s**3/3 - 328*s**2/9 + 8*s + 39. Determine h, given that a(h) = 0.
2/7, 1, 9
Let l(h) be the second derivative of h**7/7 + h**6/15 - 23*h**5/10 + 11*h**4/6 + 20*h**3/3 - 12*h**2 - h + 17. Determine z so that l(z) = 0.
-3, -1, 2/3, 1, 2
Suppose -2/3*r**5 + 0 - 32/3*r - 6*r**4 - 24*r**2 - 56/3*r**3 = 0. Calculate r.
-4, -2, -1, 0
Let h(i) = 9*i**4 + 61*i**3 + 52*i**2 + 13*i - 26. Let z(n) = 4*n**4 + 30*n**3 + 26*n**2 + 6*n - 12. Let k(j) = -6*h(j) + 13*z(j). Factor k(m).
-2*m**2*(m - 13)*(m + 1)
Let w(k) be the first derivative of -3/2*k**2 + 1/210*k**5 + 0*k + 2/21*k**3 + 3 - 1/28*k**4. Let n(l) be the second derivative of w(l). Factor n(q).
2*(q - 2)*(q - 1)/7
Let q(i) be the third derivative of i**6/2700 - i**5/450 + i**4/180 - 7*i**3/3 + 16*i**2. Let t(b) be the first derivative of q(b). Factor t(o).
2*(o - 1)**2/15
Factor -1/2*d + 0 - 1/6*d**2.
-d*(d + 3)/6
Let z = -321 + 325. Let r(a) be the third derivative of 0*a + 0*a**3 - 1/240*a**6 + 0*a**z + 7*a**2 + 0*a**5 - 1/420*a**7 + 0. Find j such that r(j) = 0.
-1, 0
Let q(j) be the first derivative of -j**8/336 + j**7/210 + j**6/120 - j**5/60 + 6*j**2 + 6. Let m(l) be the second derivative of q(l). Factor m(c).
-c**2*(c - 1)**2*(c + 1)
Let l be (-2 - (-5)/3)*-24. Suppose 2*g + 4 - l = 0. Factor 3*o**2 + g*o**2 - 6*o**2 + 5*o**2 + 2*o**3.
2*o**2*(o + 2)
Let f(o) = o + 1. Let q(a) = -a**2 + 17*a + 0*a + 6*a - 92 + 5*a. Let z(b) = 24*f(b) - 3*q(b). Factor z(l).
3*(l - 10)**2
Solve 465 - 1402 + 439 + b**2 - 60*b + 437 = 0.
-1, 61
Let f(s) be the first derivative of 0*s + 3 + 2*s**2 + 2/3*s**3. Factor f(x).
2*x*(x + 2)
Let z(g) = -g**2 - 1. Let h(a) = a**3 - 1. Let j be h(0). Let d(c) = -5*c**3 - 14*c**2 + 5*c + 26. Let o(s) = j*d(s) - 6*z(s). Let o(x) = 0. Calculate x.
-4, -1, 1
Let g be (-7)/(-2) + (-4)/(-8). Find u, given that 89*u**3 + 1 - 196*u**g - 1 + 121*u**3 - 72*u**2 + 8*u = 0.
0, 2/7, 1/2
Let b(m) be the third derivative of m**6/360 + m**5/60 - m**4/8 - m**3/6 - 39*m**2. Let z(k) be the first derivative of b(k). Factor z(o).
(o - 1)*(o + 3)
Let o(q) = -4*q**4 + 44*q**3 - 64*q**2 + 40*q - 8. Let c(a) = -6*a**4 + 88*a**3 - 129*a**2 + 81*a - 16. Let h(m) = 4*c(m) - 9*o(m). Factor h(k).
4*(k - 1)**3*(3*k - 2)
Let q be ((-72)/1764)/(3/(-84)). What is i in 4/7*i - q - 4/7*i**4 - 4/7*i**3 + 12/7*i**2 = 0?
-2, -1, 1
Let w be (-18)/3 + 78/(-2 - -