w**2. Let u(n) = -14*c(n) - 3*o(n). Factor u(b).
4*b*(b + 1)
Let l(o) be the second derivative of 8*o**2 + 1/5*o**5 + 0 + 0*o**4 + 7*o - 1/30*o**6 - 8/3*o**3. Suppose l(m) = 0. Calculate m.
-2, 2
Let n(r) be the second derivative of r**5/230 + 119*r**4/138 + 3355*r**3/69 - 11163*r**2/23 - 15*r + 14. Factor n(y).
2*(y - 3)*(y + 61)**2/23
Let n(p) = 124*p**2 - 146*p + 10. Let w(d) = -366*d**2 + 438*d - 32. Let x(h) = 10*n(h) + 3*w(h). Factor x(b).
2*(b - 1)*(71*b - 2)
Let w(y) be the third derivative of -y**9/3780 + y**8/840 - y**6/90 + y**5/30 - 7*y**4/24 + 29*y**2. Let m(n) be the second derivative of w(n). Factor m(t).
-4*(t - 1)**3*(t + 1)
Let c(m) = -18*m**3 + m + 1. Let r = 16 - 17. Let h be c(r). Factor -11 + 27 + 100*o**2 + 31*o + 31*o + h*o.
4*(5*o + 2)**2
Suppose 8 = -2*w - 4*s, -w + 0*s + 4*s + 20 = 0. Suppose -y + 13 = w*v - 0*y, -4*y = -2*v - 16. Factor -4*f**2 + 2*f**3 + 4*f**v - 4*f - f**3.
f*(f - 2)*(f + 2)
Factor 16 - 1/2*s**2 + 7*s.
-(s - 16)*(s + 2)/2
Let m(p) be the first derivative of -p**4 - 33 + 2*p + 6*p**2 - 6*p + 3*p + 9*p. Suppose m(z) = 0. Calculate z.
-1, 2
Let v = -74 + 78. Let q be (15/(-4) - -3) + 1. Find d such that -1/2*d**2 - 1/2*d**3 + 1/4*d + 1/4*d**v + 1/4*d**5 + q = 0.
-1, 1
Let c(x) = x - 2. Let s(w) = -6*w**3 - 80*w**2 - 209*w - 54. Let u(y) = 3*c(y) + s(y). Factor u(h).
-2*(h + 3)*(h + 10)*(3*h + 1)
Let j(s) be the third derivative of s**6/360 - s**5/90 - s**4/72 + s**3/9 + 2*s**2 - 6*s. Factor j(o).
(o - 2)*(o - 1)*(o + 1)/3
Let q(r) be the third derivative of r**5/60 - r**4/6 - 5*r**3/6 + 16*r**2 + 2*r. Factor q(u).
(u - 5)*(u + 1)
Factor -2*g**3 + 0*g + 0 + 4/3*g**4 - 4/3*g**2.
2*g**2*(g - 2)*(2*g + 1)/3
Let c be 7 + 6/(-12)*(2 + -4). Suppose 0 = 2*n + 4, j + j - c = 2*n. Factor -3/4 - 1/4*f**j - f.
-(f + 1)*(f + 3)/4
Determine w, given that -317 + 87*w**2 - 3*w**3 - 84*w + 317 = 0.
0, 1, 28
Find n, given that 3/8*n**2 + 0 + 27/8*n = 0.
-9, 0
Let g(v) be the first derivative of -7/20*v**2 + 1/40*v**4 + 2/5*v - 7 + 1/15*v**3. Determine x, given that g(x) = 0.
-4, 1
Suppose 0 = -d + 2. Let -u**d - 2*u**3 - 9*u**2 + 15 + 2*u - 6 + 1 = 0. Calculate u.
-5, -1, 1
Let c(s) = -s - 2. Let x be c(-2). Let y(n) be the first derivative of 0*n + x*n**2 - 2 - 1/3*n**3 + 1/4*n**4. Solve y(m) = 0 for m.
0, 1
Suppose -9*w + 2*w = -0*w. Let u(c) be the third derivative of 4*c**2 + 1/15*c**5 + 1/12*c**4 + w - 1/60*c**6 - 2/3*c**3 + 0*c. Factor u(j).
-2*(j - 2)*(j - 1)*(j + 1)
Let h(l) = l**2 + 12*l - 9. Let q be h(-13). Determine p, given that -27*p**4 - 45*p**5 - p**3 - 4*p**3 - 3*p**q = 0.
-1/3, 0
Find h, given that 50/17*h**5 - 460/17*h**4 + 1058/17*h**3 - 568/17*h + 80/17*h**2 - 160/17 = 0.
-2/5, 1, 4, 5
Let -15*t**3 - 1417*t + 1417*t - t**4 + 2*t**2 - 2*t**2 = 0. What is t?
-15, 0
Let a(l) be the first derivative of -2*l**2 + 0*l + 1/6*l**4 - 2/3*l**3 - 7 - 1/60*l**5. Let n(s) be the second derivative of a(s). Suppose n(i) = 0. What is i?
2
Let h(s) = -s**3 - 7*s**2 + s + 7. Let w(o) = o**3 + 4*o**2 - o - 4. Let b(v) = -4*h(v) - 7*w(v). Determine q, given that b(q) = 0.
-1, 0, 1
Let y = 25 + -21. Factor -y*q**3 - 254*q + 254*q - q**5 - 4*q**4.
-q**3*(q + 2)**2
Let p(f) be the first derivative of -2/11*f**2 - 4/33*f**3 + 1/22*f**4 + 19 + 1/33*f**6 + 1/11*f**5 - 1/11*f. Find l, given that p(l) = 0.
-1, -1/2, 1
Suppose -2 = c, -5*r - 2*c + 51 = 55. Let m(j) be the second derivative of r + 1/42*j**4 + 1/7*j**3 - 4*j + 2/7*j**2. Factor m(s).
2*(s + 1)*(s + 2)/7
Suppose -14 = 12*b - 19*b. Suppose f + 8 = b*y, 5*f - 2*y - 2*y + 10 = 0. Determine k, given that -1/6*k**3 + 0*k + 1/6*k**4 + 0*k**f + 0 = 0.
0, 1
Let y(b) = 3*b + 8*b - 4*b**2 + 3*b**2 - 10*b**2 - 4*b**3 + 4. Let g(s) = -2*s**3 - 5*s**2 + 5*s + 2. Let x = 7 + 0. Let i(p) = x*g(p) - 3*y(p). Factor i(d).
-2*(d - 1)*(d + 1)**2
Let p(h) = h**3 + 9*h**2 + 5*h - 19. Let c be p(-8). Suppose -14*f + 17*f - 8*f - c*f**2 = 0. What is f?
-1, 0
Let t be (-340)/(-1365) - (-116)/(-1218). Factor t*u + 4/13 - 2/13*u**3 - 4/13*u**2.
-2*(u - 1)*(u + 1)*(u + 2)/13
Let t(f) = 2*f - 7. Let x be t(5). Let v(d) be the third derivative of 0*d + 0*d**x + 0 - 1/12*d**4 - 3*d**2 + 1/60*d**6 + 0*d**5. Let v(s) = 0. What is s?
-1, 0, 1
Let r(k) be the first derivative of 4*k**5/25 - k**4/5 - 16*k**3/15 + 8*k**2/5 - 200. Factor r(o).
4*o*(o - 2)*(o - 1)*(o + 2)/5
Let b = -211 - -211. Let v(x) be the third derivative of 0*x**5 + 4*x**2 + b - 1/18*x**3 - 1/180*x**6 + 1/36*x**4 + 0*x + 1/630*x**7. Solve v(u) = 0.
-1, 1
Let g = -51 - -52. Suppose 2 - 7 + g - 1 + 5*l**3 - 15*l**2 + 15*l = 0. Calculate l.
1
Let i(r) be the second derivative of -9*r**7/14 - 29*r**6/10 - 99*r**5/20 - 15*r**4/4 - r**3 - 128*r. Solve i(p) = 0 for p.
-1, -2/9, 0
Let t(p) be the first derivative of p**6/6 + 13*p**5/5 + 21*p**4/2 + 58*p**3/3 + 37*p**2/2 + 9*p + 29. Find m, given that t(m) = 0.
-9, -1
Suppose 4*y - 3*d + 2*d = -34, -5*d = 10. Let x be 1/2 - (9 + y). Suppose -4*m**2 - x - 8*m**3 + 7/2*m = 0. Calculate m.
-1, 1/4
Let w(o) = -o**3 - o**2 - 2*o - 7. Let s be w(0). Let j(l) = l**3 + 11*l**2 + 13*l - 5. Let h be j(s). Factor 4*r**3 - 96*r**5 + 12*r**4 - 4*r**4 + h*r**5.
4*r**3*(r + 1)**2
Let s(h) be the first derivative of h**7/1260 + h**6/180 - 4*h**3 - 12. Let y(i) be the third derivative of s(i). Factor y(w).
2*w**2*(w + 3)/3
Let i = -54 - -49. Let a(z) = -4*z**2 + 28*z + 92. Let g(v) = -3*v**2 + 28*v + 93. Let j(h) = i*a(h) + 6*g(h). Suppose j(r) = 0. Calculate r.
-7
Let n(x) be the second derivative of x**8/2240 - x**7/560 + x**6/480 - 5*x**3/2 + 16*x. Let i(j) be the second derivative of n(j). Factor i(m).
3*m**2*(m - 1)**2/4
Let k(n) = 11*n - 33. Let o be k(-8). Let i = o + 124. Find g such that 0 + 0*g + 1/2*g**4 + 1/2*g**2 - g**i = 0.
0, 1
Let r(w) be the second derivative of w**4/144 + 11*w**3/36 - 23*w**2/24 - 559*w. What is j in r(j) = 0?
-23, 1
Solve -399/5*c**3 - 2/5 - 683/5*c**2 + 15*c + 361/5*c**4 = 0 for c.
-1, 1/19, 2
Let s(l) be the third derivative of -l**5/240 + 5*l**4/96 + 20*l**2 - 6*l. Find j, given that s(j) = 0.
0, 5
Suppose -32*o + 63*o = 155. Factor -1/2*v**3 + 0 + 0*v**4 + 1/4*v + 1/4*v**o + 0*v**2.
v*(v - 1)**2*(v + 1)**2/4
Determine u, given that 2/11*u**2 - 2/11*u**4 + 2/11*u**5 + 0*u + 0 - 2/11*u**3 = 0.
-1, 0, 1
Let f(t) be the third derivative of t**6/40 - t**5/8 + t**4/16 + t**3/2 - 10*t**2 - 2. Determine l, given that f(l) = 0.
-1/2, 1, 2
Suppose 50*h - 60 = 10*h + 10*h. Find z such that 0*z**3 + 2/9*z**4 + 0 + 4/9*z - 2/3*z**h = 0.
-2, 0, 1
Let f = 91 + -78. Find x, given that 205*x**3 - 120*x**2 - 151*x**4 + 76*x**4 + f*x + 7*x = 0.
0, 1/3, 2/5, 2
Let r(v) = -3 - 4*v**3 + 4 - 2 + 8*v**2 - 12*v + 4*v**2. Let n(z) = 2*z**3 - 6*z**2 + 6*z. Let o(p) = 5*n(p) + 2*r(p). Factor o(a).
2*(a - 1)**3
Let a(b) be the second derivative of b**7/231 - 3*b**6/55 + 2*b**5/11 - 2*b**4/11 - 11*b + 3. Suppose a(s) = 0. Calculate s.
0, 1, 2, 6
Let i be (-19 - -1)/(-6 + 4). Let g(b) = -b**2 + 9*b + 3. Let t be g(i). Let 3*k**t + k**4 + 0*k**3 - 19*k**2 + k + 22*k**2 = 0. What is k?
-1, 0
Let a(x) be the first derivative of x**6/6 - x**5/5 - x**4/2 + 2*x**3/3 + x**2/2 - x - 454. Factor a(q).
(q - 1)**3*(q + 1)**2
Let c(g) = g**2 + g + 1. Let h(z) = -6*z**2 - 3*z - 3. Let w(d) = 14*c(d) + 2*h(d). Factor w(k).
2*(k + 2)**2
Let j = -15245 - -15245. Determine n, given that 0*n + 0*n**3 - 2/15*n**2 + j + 2/15*n**4 = 0.
-1, 0, 1
Let h(m) be the first derivative of -m**4 + 8*m**3/3 + 2*m**2 - 8*m - 35. Find l such that h(l) = 0.
-1, 1, 2
Suppose 0*c + 8 = 4*c. Let n be (-2 + 4)/(c/(-12)*-21). Factor -2/7 - n*g + 0*g**2 + 2/7*g**4 + 4/7*g**3.
2*(g - 1)*(g + 1)**3/7
Find g, given that 444*g**2 + 57/2 - 453/2*g + 24*g**3 = 0.
-19, 1/4
Let y(w) be the first derivative of -1/2*w**3 - 1/32*w**4 - 3*w**2 - 8*w - 31. Suppose y(q) = 0. Calculate q.
-4
Let w be (8/(-54))/(12/(-18)). Factor -2/9*m**2 + w + 0*m.
-2*(m - 1)*(m + 1)/9
Let o(u) be the third derivative of -u**8/112 + u**7/35 - u**5/10 + u**4/8 - 4*u**2 + 49. Suppose o(p) = 0. Calculate p.
-1, 0, 1
Let r = 220 + -1319/6. Determine m so that r - 1/6*m**3 - 1/6*m**2 + 1/6*m = 0.
-1, 1
Let d = -1203 - -1205. Let s(m) be the second derivative of 0*m**4 - 1/20*m**5 - 6*m + 1/6*m**3 + 1/4*m**d - 1/60*m**6 + 0. What is a in s(a) = 0?
-1, 1
Let b(k) be t