*b(s) - 2*d(s). Factor i(z).
-4*(z - 1)*(z + 1)**2
Let w = -23 - -25. Find v such that -v**w - v**2 - 9*v + v**2 + 8*v = 0.
-1, 0
Let z = 33319/5 + -6662. Find g, given that -z*g + 12/5*g**2 - 4/5*g**3 + 2/5 = 0.
1/2, 2
Factor 0*b + 4706 - 270*b - 14453 - 3*b**2 - 72*b.
-3*(b + 57)**2
Factor -81 + 1753*j**2 - 2861*j**2 + 6031*j**4 + 8708*j**4 - 5318*j**2 - 1296*j - 6936*j**3.
3*(j - 1)*(17*j + 3)**3
Let q(v) be the second derivative of -25*v**4/6 - 20*v**3/9 - 4*v**2/9 - 14*v - 10. Factor q(m).
-2*(15*m + 2)**2/9
Let y = -8307 - -8307. Factor -32/3*n**4 + y + 16/3*n**3 + 0*n - 2/3*n**2.
-2*n**2*(4*n - 1)**2/3
Let n = 289/7 + -1431/35. Factor -2/5*i - 4/5*i**2 + 0 - n*i**3.
-2*i*(i + 1)**2/5
Let i(f) be the second derivative of -5*f**7/126 + f**6/6 + f**5/12 - 55*f**4/36 + 10*f**3/3 - 10*f**2/3 - 2*f - 338. Determine s, given that i(s) = 0.
-2, 1, 2
Let j be (12 - 1) + 4 + (2 - 4). Solve 2 + 4*z + 24 - j*z**2 - 2 + 9*z**2 = 0 for z.
-2, 3
Let j(x) be the third derivative of x**7/6300 + x**6/450 + x**5/75 - x**4/4 - 7*x**2. Let d(a) be the second derivative of j(a). Find c, given that d(c) = 0.
-2
Let x(n) be the third derivative of 18*n**2 - 1/80*n**6 + 0 - 1/40*n**5 + 0*n + 1/16*n**4 + 1/4*n**3. Find w such that x(w) = 0.
-1, 1
Let n(l) = -2*l**2 - 1. Let y(f) = -15*f**2 - 40*f - 407. Let s(c) = 28*n(c) - 4*y(c). Solve s(u) = 0.
-20
Determine l so that 0 - l**2 + 3 - 21*l - 2*l**2 + 22 - 1 = 0.
-8, 1
Let g(i) be the second derivative of i**7/2520 + i**6/135 + 7*i**5/120 + i**4/4 + 19*i**3/3 - 24*i. Let d(l) be the second derivative of g(l). Factor d(w).
(w + 2)*(w + 3)**2/3
Let j = -194 - -197. Let a(c) be the second derivative of -7*c + 0 + 0*c**j - 1/12*c**4 + 0*c**2 + 1/20*c**5. Find o such that a(o) = 0.
0, 1
Let r be (-26 + 969/34)/(1*5). Suppose -5/2*q - r*q**3 + 1 + 2*q**2 = 0. Calculate q.
1, 2
Let t(b) be the second derivative of -b**5/20 - 7*b**4/12 + b**3 - 9*b**2/2 + 4*b. Let u be t(-8). Factor -7 + u + 3*g**3.
3*g**3
Let o = 377 + -377. Let f(p) be the third derivative of -1/40*p**5 + o - 3*p**2 + 0*p + 0*p**3 + 1/24*p**4 + 1/240*p**6. Factor f(v).
v*(v - 2)*(v - 1)/2
Let y = -7379/12 - -629. Let s = y + -40/3. Let 1/2 + 0*v**3 - 3/4*v**5 + s*v - 5/2*v**2 + 2*v**4 = 0. Calculate v.
-1, -1/3, 1, 2
Suppose -5 + 13 = 2*c. Let p be (c/48)/(12/32). Let 0*b + p - 2/9*b**2 = 0. Calculate b.
-1, 1
Solve 10*f**2 - 9 - 7*f**2 - 7*f + 13*f = 0 for f.
-3, 1
Let y be (18/324*6)/(11/6). Suppose -y*b**2 - 4/11*b + 0 = 0. Calculate b.
-2, 0
Let t(k) be the second derivative of -k**7/21 + k**6/15 + 6*k**5/5 - 8*k**4/3 - 32*k**3/3 + 48*k**2 + 5*k + 11. Factor t(g).
-2*(g - 2)**3*(g + 2)*(g + 3)
Let o(p) be the second derivative of -p**5/110 + p**4/11 - 5*p**3/33 - 75*p. Let o(t) = 0. What is t?
0, 1, 5
Let x(c) = 2*c**4 + 15*c**3 + 7*c**2 - 2*c. Let y(d) = -d**3 - 31*d**4 + 13*d**4 + 2*d**3 + d + 19*d**4. Let w(q) = x(q) - 4*y(q). Solve w(a) = 0 for a.
-1, 0, 1/2, 6
Let d = -38639/210 - -184. Let f(s) be the third derivative of -4/21*s**3 - d*s**5 - 1/21*s**4 - 4*s**2 + 0 + 0*s. Let f(v) = 0. What is v?
-2
Let n(o) be the first derivative of -o**4 + 4*o**3 + 2*o**2 - 12*o + 47. Factor n(q).
-4*(q - 3)*(q - 1)*(q + 1)
Suppose -f - 12 = -4*f. Suppose 0 = f*l + 20, -5*l - 68 = -2*b - 17. Find v, given that 6*v**2 - 13*v**3 + 0 + b*v**3 - 3*v**4 - 3 = 0.
-1, 1
Let d be (-418)/(-4) - (-3766)/1076. Suppose -5*y + 4 = -16. Let -d*v**2 + 162*v + 2/5*v**5 - 486/5 + 36*v**3 - 6*v**y = 0. What is v?
3
Let c(u) be the first derivative of u**5 + 345*u**4/4 + 2040*u**3 + 2890*u**2 - 249. Solve c(l) = 0.
-34, -1, 0
Suppose 3*o = 2*z, z - 11 = -3*o - o. Let 3*s**3 + 14*s - 1 - 1 - 17*s - 3*s**o + 5 = 0. What is s?
-1, 1
Let x(q) be the third derivative of 0 + 2/51*q**3 + 1/204*q**4 + 0*q - 1/510*q**5 - 5*q**2. Let x(t) = 0. Calculate t.
-1, 2
Let i = -160 + 140. Let a be i/(-40) - 6/16. What is u in 3/8 - a*u**2 + 1/4*u = 0?
-1, 3
Let o = 147 - 142. Let q(f) be the third derivative of -1/18*f**3 - 5/72*f**4 - 1/120*f**6 - f**2 + 0*f + 0 - 7/180*f**o. Factor q(y).
-(y + 1)**2*(3*y + 1)/3
Suppose 3*x - 19 = -1. Let s(q) be the second derivative of 0 - 3/20*q**5 + 1/6*q**3 + 1/21*q**7 - 1/12*q**4 + x*q + 1/30*q**6 + 0*q**2. Factor s(c).
c*(c - 1)*(c + 1)**2*(2*c - 1)
Let j(c) be the third derivative of -3*c**6/2 + c**5/15 + 2*c**2 - 13*c. Factor j(v).
-4*v**2*(45*v - 1)
Let g(b) be the second derivative of 0*b**2 + 0 + 5*b + 1/40*b**5 - 1/8*b**4 - 1/12*b**3 + 1/20*b**6. Factor g(d).
d*(d - 1)*(d + 1)*(3*d + 1)/2
Let g(u) = 2*u + 4. Let i be g(4). Factor -8*y**3 + 8 - i*y - 9*y**3 + 21*y**3.
4*(y - 1)**2*(y + 2)
Let w = -49 - -119. Let p be 0 + w/22 - 4/22. Determine a so that 2/3*a**p + 0*a**2 - 1/3*a**4 + 0 + 0*a = 0.
0, 2
Let u(j) be the third derivative of -11*j**6/40 - 57*j**5/20 - 5*j**4/4 - 13*j**2 + 6. Factor u(s).
-3*s*(s + 5)*(11*s + 2)
Determine g, given that -46985 - 321*g - 3*g**2 - 583*g + 160*g + 14770 - 13913 = 0.
-124
Let g(u) = u - 5 + 4 + 1. Let z be g(4). Factor 5*b**2 - 4 - b**2 - 4*b**4 + z*b**2.
-4*(b - 1)**2*(b + 1)**2
Determine v, given that 7 + 150*v**5 + 70*v**4 + 10 - 195*v**2 - 125*v**3 - 25*v - 7 + 115*v**4 = 0.
-1, -2/5, 1/6, 1
Suppose -j + 1 + 4 = 0. Suppose 495 = j*b - 0*b. Factor -98*w**3 + 2*w**2 + b*w**3 - 3*w**2.
w**2*(w - 1)
Let d(p) be the first derivative of 0*p**2 + 5/3*p**3 + 1/300*p**5 + 8 - 1/900*p**6 + 0*p + 0*p**4. Let l(i) be the third derivative of d(i). Solve l(y) = 0.
0, 1
Factor -2*v**2 + 2*v - 13*v**3 + 26*v**3 - 2*v - 14*v**3.
-v**2*(v + 2)
Solve 0 + 129/4*l**3 - 18*l**2 + 3/4*l**5 - 33*l + 18*l**4 = 0 for l.
-22, -2, -1, 0, 1
Let i(l) be the second derivative of -1/4*l**5 + 0*l**2 + 0*l**3 + 0*l**4 - 22*l + 0. Find t such that i(t) = 0.
0
Let f(z) = -12*z**4 + 48*z**3 - 39*z**2 + 11*z + 2. Let k(r) = 24*r**4 - 96*r**3 + 78*r**2 - 23*r - 5. Let a(m) = -5*f(m) - 2*k(m). Find o, given that a(o) = 0.
0, 1/2, 3
Let q be (-2 + (-15)/6)*(-8)/12. Let d(w) = -4*w**4 - 10*w**2 - 10*w + 10. Let x(l) = l**4 + 3*l**2 + 3*l - 3. Let m(g) = q*d(g) + 10*x(g). Factor m(s).
-2*s**4
Let f = -15538 - -15541. Factor 64/7 + 36/7*d**2 - 4/7*d**f - 96/7*d.
-4*(d - 4)**2*(d - 1)/7
Let n(f) be the second derivative of -f**4/6 + f**3/3 + 2*f**2 - 2*f - 91. Suppose n(s) = 0. What is s?
-1, 2
Let s(y) be the first derivative of 0*y - 1 + 0*y**2 + 2/7*y**6 - 3/7*y**5 + 3/28*y**4 + 0*y**3. Factor s(k).
3*k**3*(k - 1)*(4*k - 1)/7
Let m(h) be the first derivative of h**3 - 83*h**2 - 112*h - 18. Factor m(w).
(w - 56)*(3*w + 2)
Let x(c) be the third derivative of 0 + 0*c - 1/40*c**5 + 1/16*c**4 - 8*c**2 + 1/2*c**3. Factor x(q).
-3*(q - 2)*(q + 1)/2
Factor 68 + 15*y - 2*y**2 + 7*y - 128.
-2*(y - 6)*(y - 5)
Suppose -658*h = -578*h - 320. Determine b, given that 1/3*b - 2/3*b**h + 0*b**2 - b**3 + 0 = 0.
-1, 0, 1/2
Let m be 302/60 - 7/(35/25). Let f(y) be the second derivative of -8*y - 3/10*y**5 - 2*y**2 + 0 - m*y**6 - 13/12*y**4 - 2*y**3. What is t in f(t) = 0?
-2, -1
Let n(r) = 8*r**2 + 8*r + 3. Let w be (-12)/28 + 25/(-7). Let m(x) = 9*x**2 + 9*x + 4. Let y(t) = w*n(t) + 3*m(t). Find h, given that y(h) = 0.
-1, 0
Let n(m) be the first derivative of 5*m**6/6 - 13*m**5 - 225*m**4/4 - 235*m**3/3 - 40*m**2 + 256. Find u such that n(u) = 0.
-1, 0, 16
Let w(u) = u**3 - 42*u**2 + 299*u - 63. Let v be w(33). Let -4*t**v - 12*t - 11*t**2 - 1/2*t**4 - 9/2 = 0. Calculate t.
-3, -1
Let o(n) be the third derivative of n**7/420 - n**6/15 + 4*n**5/5 - 16*n**4/3 + 7*n**3/6 - 6*n**2. Let i(r) be the first derivative of o(r). Factor i(z).
2*(z - 4)**3
Let y(g) be the second derivative of -g**5/130 - 2*g**4/39 + 11*g**3/39 + 30*g**2/13 - 95*g. Factor y(h).
-2*(h - 3)*(h + 2)*(h + 5)/13
Let f(c) be the third derivative of c**7/315 + 7*c**6/45 + 27*c**5/10 + 18*c**4 + 48*c**3 + 12*c**2 + 2. Suppose f(a) = 0. Calculate a.
-12, -3, -1
Factor 129*h**4 + 6*h**2 + 5*h**2 + 36*h**3 + h**2 - 126*h**4 + 768 - 576*h.
3*(h - 2)**2*(h + 8)**2
Let c(i) be the second derivative of 0 - 26*i + 0*i**2 + 1/12*i**4 - 1/30*i**6 - 7/20*i**5 + 7/6*i**3. Factor c(p).
-p*(p - 1)*(p + 1)*(p + 7)
Let j(r) be the first derivative of r**4/9 - 80*r**3/27 + 22*r**2/3 + 24*r + 66. Factor j(s).
4*(s - 18)*(s - 3)*(s + 1)/9
Let -8*x + 5 - 6 - 3 + 2*x**2 - 6 = 0. What is x?
-1, 5
Let v(o) be the t