et x = -319 + 319. Let n(u) be the first derivative of -6/5*u + x*u**3 + 3/20*u**4 - 9/10*u**2 + 3. Let n(z) = 0. Calculate z.
-1, 2
Let b be ((-20)/(-70))/(596/294 - 2). Find s such that b*s**3 - 3*s - 15/2*s**2 + 0 = 0.
-2/7, 0, 1
Let u(k) be the first derivative of 6*k**3/7 - 50*k**2/7 - 48*k/7 + 117. Solve u(s) = 0.
-4/9, 6
Factor -7*o - 12*o**4 - 5*o + 51*o**3 - 20*o - 8*o**2 + o**3.
-4*o*(o - 4)*(o - 1)*(3*o + 2)
Let u = -18 - -21. Suppose -5*z - 5*i + 55 = 0, 2 = 4*z - u*i - 14. Solve -6*h**5 - h**4 + h**3 + z*h**5 - h**4 = 0 for h.
0, 1
Let d = 96 + -96. Factor -4/15*p - 2/15*p**2 + d.
-2*p*(p + 2)/15
Factor 0 - 15*y**3 - 10/3*y - 5/3*y**5 - 35/3*y**2 - 25/3*y**4.
-5*y*(y + 1)**3*(y + 2)/3
Let p = 4684 - 4684. Suppose 0 = -5*a + 23 + 2. Solve p + 0*s - s**3 - 1/3*s**2 - s**4 - 1/3*s**a = 0 for s.
-1, 0
Let a be (-9)/2*-1*(-2)/(-4). Let z = -2 + a. Find o, given that z*o**2 + 3/4 + o = 0.
-3, -1
What is z in -96 + 56*z**3 - 96*z + 64*z**3 - 30*z**2 - 123*z**3 = 0?
-4, -2
Let j = -2760 + 2764. Solve 10/3*a**3 - a**j - 1/3*a**2 + 0 - 2*a = 0 for a.
-2/3, 0, 1, 3
Suppose 19 = 9*h - 8. What is x in h + 5*x**4 - 5*x**2 - 3 = 0?
-1, 0, 1
Let p(w) = -w**3 - 3*w**2 - 3*w - 1. Let d(r) = 1 + 0 - 92*r**3 + 3*r**2 + 3*r + 93*r**3. Let b(n) = -5*d(n) - 6*p(n). Suppose b(o) = 0. What is o?
-1
Suppose 168*a - 318*a + 600 = 0. Factor 0 - 10/3*z**2 - 2/3*z**3 - a*z.
-2*z*(z + 2)*(z + 3)/3
Suppose 2*d = -1 - 19. Let v be (-4)/3*15/d. Factor u**v - 6*u + 1 + 0*u**2 + 8*u.
(u + 1)**2
Let h(l) = l**2 + 26*l + 69. Let c be h(-3). Let u(d) be the first derivative of -1/3*d**3 + c*d**2 - 2 + d. Factor u(g).
-(g - 1)*(g + 1)
Suppose 3*u - 2*u + 3*o = -1, 4*u = -2*o + 36. Suppose 2*w + 2*m = -w + 7, -4*w - m = -u. Suppose 3/2*j**w - 1/2*j**2 - 1/2*j**4 - 3/2*j + 1 = 0. What is j?
-1, 1, 2
Suppose -2 - 3 + 2*y**2 - 6 + 11 - 10*y = 0. What is y?
0, 5
Factor 140*m - 36*m**2 + 4*m**3 + 209 - 16*m**2 - 13.
4*(m - 7)**2*(m + 1)
Let i = 138 + -109. Let b be (i/58)/(5*(-1)/(-2)). Suppose 0 + 0*q + b*q**2 = 0. What is q?
0
Suppose -4*x + 4*f = 4, -4*x - 3*f = -13 - 11. Factor -3*y**x + 40*y**2 - 15*y**2 + 8*y**3.
5*y**2*(y + 5)
Let w(z) = 2*z - 36. Let n be w(17). Let y(i) = -i + 1. Let h be y(n). Factor 2/5*f**4 - 2/5*f**2 + 0 + 4/5*f**h - 4/5*f.
2*f*(f - 1)*(f + 1)*(f + 2)/5
Let d be ((-34)/28 - 1572/(-917))*0/(-2). Find n such that -3*n**3 + 0*n + 0 + 3/2*n**4 + d*n**2 = 0.
0, 2
Let i = -160 - -59. Let y = i - -101. Determine f, given that y*f - 2/9*f**2 + 2/9 = 0.
-1, 1
Let b(i) be the first derivative of -i**4/14 - 8*i**3/21 - 3*i**2/7 - 60. Find a, given that b(a) = 0.
-3, -1, 0
Let z be (-4)/6 + (-17)/(-3) + 2. Let y(k) be the third derivative of 0*k**6 + 0*k - 3*k**2 + 1/140*k**z + 1/8*k**4 + 0 + 0*k**3 - 3/40*k**5. Factor y(i).
3*i*(i - 1)**2*(i + 2)/2
Let x = 379620/197 + -1927. Let j = x + 785/591. Let j*y**3 - 4/3 - 4/3*y + 4/3*y**2 = 0. Calculate y.
-1, 1
Let h = -51 + 49. Let z be ((-1)/h)/(39/52). Factor -4/3 + z*i**2 - 2/3*i.
2*(i - 2)*(i + 1)/3
Factor -1/2 - 21/4*n - 5/2*n**2.
-(n + 2)*(10*n + 1)/4
Let f be (12/(-20))/((-1)/5). Factor -5 + 2 - f*l + l + l**2 + 0.
(l - 3)*(l + 1)
What is k in 6/7*k**3 + 66/7*k + 36/7 + 36/7*k**2 = 0?
-3, -2, -1
Suppose -20797 = -2*f - 20793. Factor 1/5*k**f + 0 - 3/5*k.
k*(k - 3)/5
Let n(q) = -q**2 + 10*q + 26. Let d be n(12). Factor -d + 8*x + 33*x**2 + 2 - 37*x**2.
-4*x*(x - 2)
Suppose 2 - 6 = -q. Determine p, given that 8*p + 8*p**3 - 2*p**4 - 12*p**2 - 4*p**4 - 2 - p**q + 5*p**4 = 0.
1
Suppose -4*m - 242 = -3*m. Let l = m + 244. Suppose 2/3*v**4 - 1/3*v**5 - 4/3*v - 4/3*v**l + 0 + v**3 = 0. What is v?
-1, 0, 2
Factor 150/17*t + 0 - 2/17*t**2.
-2*t*(t - 75)/17
Find t, given that 648/7 - 36/7*t**3 + 2/7*t**4 + 234/7*t**2 - 648/7*t = 0.
3, 6
Let q(h) be the first derivative of -h**8/1344 + h**6/160 - h**5/120 + 13*h**2/2 + 4. Let p(o) be the second derivative of q(o). Determine c so that p(c) = 0.
-2, 0, 1
Factor -120*d - 11714 + 11714 + 4*d**2.
4*d*(d - 30)
Let q(i) = -5*i**2 - 8*i. Let t = 25 - 21. Let h(d) = 6*d**2 + t*d**2 - 2*d + 16*d + d. Let j(s) = -3*h(s) - 5*q(s). Factor j(v).
-5*v*(v + 1)
Let g(p) = 36*p**2 + 513*p - 69. Let b(j) = -18*j**2 - 256*j + 34. Let q(h) = -13*b(h) - 6*g(h). Find i, given that q(i) = 0.
-14, 1/9
Let v be -1 - (2 - (-15)/(-3)). Let x = 2 + v. Solve m**3 - x*m**3 - 6*m**4 + m**3 = 0 for m.
-1/3, 0
Let f = 8931 + -8931. Factor 0*b - 16/7*b**3 + f - 12/7*b**2 - 4/7*b**4.
-4*b**2*(b + 1)*(b + 3)/7
Let o(b) be the first derivative of -b**4/32 + 17*b**3/24 - 7*b**2/2 + 13*b/2 - 176. Determine w, given that o(w) = 0.
2, 13
Let n(w) = 3*w + 28. Let o be n(8). Factor -23*m + 36*m + 12*m**2 - o*m**3 - 13*m + 16*m**4.
4*m**2*(m - 3)*(4*m - 1)
Let b(n) be the first derivative of -2*n**3/21 + n**2/7 + 12*n/7 - 70. What is r in b(r) = 0?
-2, 3
Let o be (-48)/32*((-815)/(-6))/(-5). Let i = o - 40. What is d in 3/4*d**4 + i*d**3 + 0 - 3/4*d - 3/4*d**2 = 0?
-1, 0, 1
Let -u - u**2 + 4*u + 2*u + 15 - 3*u = 0. What is u?
-3, 5
Let a = 80916/13 - 6224. Find w such that 2/13*w**3 + a*w**2 + 0 + 0*w = 0.
-2, 0
Let l = 4155 - 4153. Factor -1/7*x - 4*x**l + 2/7.
-(4*x - 1)*(7*x + 2)/7
Factor 0*k + 0 + 0*k**2 - 10/3*k**3 + 8/3*k**4 + 2/3*k**5.
2*k**3*(k - 1)*(k + 5)/3
Let j(g) = 87*g**3 - 507*g**2 - 1263*g - 675. Let a(y) = -y**4 + 86*y**3 - 504*y**2 - 1262*y - 675. Let m(s) = 3*a(s) - 2*j(s). Factor m(r).
-3*(r - 15)**2*(r + 1)**2
Factor 1/2*f**2 - 1/4 - 1/4*f**4 + 1/2*f**3 - 1/4*f - 1/4*f**5.
-(f - 1)**2*(f + 1)**3/4
Suppose 167 = 2*k - 3*t, k - 191 = -k - 5*t. Let x be (-6)/9 + k/96. Factor 1/4*a**2 - 1/2*a + x.
(a - 1)**2/4
Let k = -4997 + 4999. Factor -30*z**k - 3/4*z**5 + 0 - 99/4*z**3 - 12*z - 15/2*z**4.
-3*z*(z + 1)**2*(z + 4)**2/4
Let d be (10 - 4)/(-2 - -4). Find c, given that 39 + c**4 - 39 + c**2 + 2*c**d = 0.
-1, 0
Let o(k) be the first derivative of 4*k**5/25 - 3*k**4/5 - 4*k**3 - 34*k**2/5 - 24*k/5 - 84. Factor o(n).
4*(n - 6)*(n + 1)**3/5
Let d = 28 - 26. Suppose -5*u = -u - 8. Solve 4*x + 5*x**2 + x**d - 4*x**5 + u*x**2 - 8*x**4 = 0.
-1, 0, 1
Let f = 624 - 616. Let j(y) be the third derivative of 0*y - 1/18*y**4 - 1/6*y**3 - 1/180*y**5 + 0 - f*y**2. Factor j(a).
-(a + 1)*(a + 3)/3
Suppose 18*y - 22*y + d = 1, 5*y - 3*d = -3. Determine v, given that 8/5*v + y + 2/5*v**2 = 0.
-4, 0
Let v(t) be the third derivative of t**8/13440 - 7*t**3/6 - 5*t**2. Let c(m) be the first derivative of v(m). Let c(r) = 0. What is r?
0
Let l(u) = -6*u**4 - 2*u**3 + 6*u**2 - 4. Let h(s) = 4*s**2 - 4*s**4 + 3*s**4 - s**3 - 5*s**2. Let g(r) = -2*h(r) + l(r). Solve g(i) = 0 for i.
-1, 1
Let v(a) be the first derivative of 45*a**5 + 15*a**4/4 - 102*a**3 + 96*a + 204. Let v(w) = 0. Calculate w.
-1, -2/3, 4/5
Factor 252*u + 347*u**2 + 250*u - 353*u**2 - 165 - 169*u.
-3*(u - 55)*(2*u - 1)
Let b be 110/10 + (1 - 6). Let -b*d**3 - 2*d**4 + 0*d**3 - 6*d**3 - 4*d**3 = 0. What is d?
-8, 0
Let w = -2386 - -2389. Let v(s) be the third derivative of 0 + 0*s**w - 1/6*s**4 + 0*s + 1/30*s**5 - 3*s**2. Determine p so that v(p) = 0.
0, 2
Let n(r) = -4*r**3 + 9*r**2 + 13*r + 26. Let z(h) = -h**3 + 2*h**2 + 3*h + 6. Let b(d) = -6*n(d) + 26*z(d). Let b(y) = 0. Calculate y.
-1, 0
Let y(a) be the first derivative of -2/7*a**3 + 1/14*a**4 - 33 + 3/7*a**2 - 2/7*a. What is v in y(v) = 0?
1
Let -b + 5 + 16*b**3 + 32*b**4 - 27*b**4 - b**5 - 10*b**2 - 14*b**3 = 0. What is b?
-1, 1, 5
Let z(s) = 2*s**3 - 3*s**2 + s + 15. Let g(p) = -18*p**3 + 28*p**2 - 8*p - 132. Let b(l) = 6*g(l) + 52*z(l). Suppose b(j) = 0. Calculate j.
-1, 1, 3
Suppose -2*d + 3 = 1. Let m = d - -1. Let 5*q - 5 + q - q**2 - m - 2 = 0. What is q?
3
Find k such that 3362 + 55*k + 2*k**2 + 0*k**2 + 54*k + 55*k = 0.
-41
Suppose -6 = -t + 21. Let j = -23 + t. Factor -5*v**5 + 4*v**5 - 2*v**j - 2*v**3 + 4*v**3 + 3*v**4.
-v**3*(v - 2)*(v + 1)
Let n be 2 - (-164)/(4 + -8). Let w = 42 + n. What is y in -2/11 - 2/11*y**4 + 6/11*y**5 - 12/11*y**w + 4/11*y**2 + 6/11*y = 0?
-1, 1/3, 1
Let a(f) = f**3 - f + 1. Let k(u) = -4*u**3 - 48*u - 114. Let d(z) = -6*a(z) - k(z). Determine c so that d(c) = 0.
-3, 6
Let f(z) = z**3 - 27*z**2 - 65*z + 206. Let l be f(29). Let -12/7*d**2 + 16/7 + 0*d + 4/7*d**l = 0. Calculate d.
-1, 2
Factor -9*y**3 + 6*y**3 + 135 - 29*y**2 + 15*y - 10*y**2 + 84*y.
-3*