*w**3 - 2*w**3 - 12*w**2 + 0*w**3.
-4*w**2*(w + 1)
Let w(u) = -65*u**3 + 3010*u**2 + 67660*u + 123460. Let y(k) = -10*k**3 + 430*k**2 + 9666*k + 17637. Let q(c) = 3*w(c) - 20*y(c). Factor q(i).
5*(i + 2)*(i + 42)**2
Suppose -10*f + 15 = -13*f. Let w be ((-4)/(-9))/(1 - f/(-6)). Determine v so that w*v**4 - 8/3*v**2 - 4/3*v**3 + 0 - 2/3*v + 2*v**5 = 0.
-1, -1/3, 0, 1
Let n(t) be the first derivative of t**6/105 - 2*t**5/35 + t**4/7 - 4*t**3/21 + t**2/7 + 11*t - 21. Let b(r) be the first derivative of n(r). Factor b(h).
2*(h - 1)**4/7
Solve -12/11*i**2 + 0 - 2/11*i**4 + 0*i + 14/11*i**3 = 0 for i.
0, 1, 6
Find n such that 0 + 62/5*n - 1/5*n**2 = 0.
0, 62
Let x be (-7)/((-105)/20)*15. Suppose q + 10 = -2*z, -4*q = -11*z + 7*z - x. Factor -1 + q*u**2 - 3/2*u + 1/2*u**3.
(u - 2)*(u + 1)**2/2
Let l(z) be the third derivative of -z**5/15 + 7*z**4/6 + 16*z**3/3 - 218*z**2 - 2*z. Find d such that l(d) = 0.
-1, 8
Suppose 0 = -8*w - 11 - 5. Let g(b) = -10*b**3 + 25*b**2 - 15*b + 5. Let p(i) = -5*i**3 + 12*i**2 - 7*i + 2. Let n(z) = w*g(z) + 5*p(z). Solve n(x) = 0.
0, 1
Let f(p) be the first derivative of 5*p**4/4 + 25*p**3/3 + 15*p**2 + 94. Suppose f(c) = 0. What is c?
-3, -2, 0
Solve -11*u**2 + 120 + 4*u**3 - 10*u**2 + u - 5*u - 3*u**2 = 0 for u.
-2, 3, 5
Suppose 512/7*s - 62/7*s**3 - 64*s**2 + 0 - 2/7*s**4 = 0. Calculate s.
-16, 0, 1
Let u(k) be the third derivative of -1/8*k**4 + 0 + 1/20*k**5 - 2*k**2 + k + 0*k**3. Factor u(y).
3*y*(y - 1)
Let f = -42 + 42. Let m = -137/10 - -1059/70. Factor -4/7*j - 6/7*j**3 + m*j**2 + f.
-2*j*(j - 1)*(3*j - 2)/7
Let s(d) = 36*d**2 - 20*d**2 + 0*d - 14*d**2 + 13 - 3*d. Let z(c) = -6*c**2 + 10*c - 38. Let l(u) = -14*s(u) - 5*z(u). Determine a, given that l(a) = 0.
2
Let w(g) be the first derivative of -g**6/240 + g**5/160 + g**4/24 - g**3/12 + 20*g + 17. Let i(f) be the first derivative of w(f). Solve i(h) = 0 for h.
-2, 0, 1, 2
Find l such that 10/13*l**3 + 24/13 - 6/13*l**4 + 54/13*l**2 - 2/13*l**5 + 64/13*l = 0.
-2, -1, 3
Let f be (15/140)/((-3)/12) - (-228)/266. Factor f*a**2 + 2/7*a - 1/7.
(a + 1)*(3*a - 1)/7
Let q(u) be the third derivative of 1/300*u**6 + 9/5*u**3 + 0 - 29*u**2 + 0*u + 3/50*u**5 + 9/20*u**4. Factor q(i).
2*(i + 3)**3/5
Let w(r) be the third derivative of -r**5/300 - 17*r**4/60 - 289*r**3/30 + 105*r**2. Solve w(s) = 0 for s.
-17
Let k(j) be the second derivative of -5*j**4/12 - 15*j**3 - 325*j**2/2 - 347*j. Factor k(b).
-5*(b + 5)*(b + 13)
Let q = -9194/7 + 1314. Factor 2/7*y + 0 - q*y**2 + 0*y**3 + 4/7*y**4 - 2/7*y**5.
-2*y*(y - 1)**3*(y + 1)/7
Let v(x) be the third derivative of x**8/336 - 17*x**7/210 - x**6/60 + 17*x**5/30 + x**4/24 - 17*x**3/6 - 343*x**2. Factor v(g).
(g - 17)*(g - 1)**2*(g + 1)**2
Let k = 5267 - 5264. Factor -7/9*h**k - 5/9*h**2 - 1/9*h**4 + 2/3 + 7/9*h.
-(h - 1)*(h + 1)**2*(h + 6)/9
What is k in 6*k**2 + 1/6*k**4 - 5/3*k**3 - 9*k + 9/2 = 0?
1, 3
Let b(h) be the first derivative of 7*h**6/3 - 78*h**5/5 + 219*h**4/7 - 376*h**3/21 + 24*h**2/7 - 2. What is p in b(p) = 0?
0, 2/7, 2, 3
Let j be 2/14 + (-400)/(-140). Let w be (-21)/(-6)*(2 - j) - -4. Suppose -1/2*d**3 - 5/4*d**2 + 0 + 5/4*d**4 + w*d = 0. Calculate d.
-1, 0, 2/5, 1
Suppose -2*d + 0 = 2. Let y = d + 4. Determine o, given that -8*o - 5*o**3 - 4*o**4 - 10*o**3 - 20*o**2 - o**y = 0.
-2, -1, 0
Let t(f) be the first derivative of -1/100*f**5 + 0*f**2 + 3 - 1/30*f**4 - 1/30*f**3 - 4*f. Let r(a) be the first derivative of t(a). Solve r(v) = 0.
-1, 0
Let p be (30/8)/((-1755)/120 - -18). Factor 2/9*j**2 + 0 - p*j.
2*j*(j - 5)/9
Suppose -9*y + 7*y = -6. Factor 12*t + 6*t**2 - 3*t**3 - 15*t + 0*t**y.
-3*t*(t - 1)**2
Determine d so that 32/7*d - 4/7*d**3 + 12/7*d**2 - 1/7*d**4 - 64/7 = 0.
-4, 2
Let s = -843/4 + 921/4. Solve s*t**2 - 147/2 + 105/2*t + 3/2*t**3 = 0.
-7, 1
Let z(k) be the second derivative of 25725*k**5/16 - 3675*k**4/8 + 105*k**3/2 - 3*k**2 - 5*k + 7. Suppose z(c) = 0. What is c?
2/35
Let p = 24/13 - 563/312. Let x(n) be the third derivative of 0 - 1/3*n**3 + 13/120*n**6 + 1/42*n**7 - p*n**4 + 3/20*n**5 + 0*n - 5*n**2. Solve x(m) = 0 for m.
-1, 2/5
Let l = 14 - 11. Suppose -k + 4*p = -17, 19 = 2*k - l*p - 0*p. Factor 0 + 0*z + 1/8*z**k + 3/8*z**3 + 0*z**2 - 1/2*z**4.
z**3*(z - 3)*(z - 1)/8
Factor 0 + 54/11*b**2 - 26/11*b + 2/11*b**4 - 30/11*b**3.
2*b*(b - 13)*(b - 1)**2/11
Let h(p) = -p**2 + p + 1. Let n(m) = -201*m**2 - 39*m + 6. Let j(s) = -9*h(s) + n(s). Determine q so that j(q) = 0.
-1/8
Let c(n) be the first derivative of n**3/3 - 7*n**2/2 + 6*n + 44. Factor c(l).
(l - 6)*(l - 1)
Solve -96/7*g**2 + 183/7*g + 9/7*g**3 + 72/7 = 0 for g.
-1/3, 3, 8
Let a be 30/24 - 24/(-32). Let c(g) be the first derivative of 2 + 0*g + 2/15*g**3 + 1/5*g**a. Factor c(q).
2*q*(q + 1)/5
Suppose -2*j + 154 - 116 = 0. Solve a**3 + j*a**3 + 30 - 30 - 108*a**2 + 40*a = 0.
0, 2/5, 5
Let -64/5 - 36/5*d - 2/5*d**2 = 0. Calculate d.
-16, -2
Suppose -4*i = -5*f + 3*f + 10, -3*f - 3*i - 21 = 0. Let o be f + (-4 - -7 - -2). Factor 2/9*p**o + 0 - 2/9*p**3 + 4/9*p.
-2*p*(p - 2)*(p + 1)/9
Let s(t) be the second derivative of -2*t - 45 + 0*t**2 + 0*t**5 - 2/21*t**4 + 0*t**3 + 1/105*t**6. Determine i so that s(i) = 0.
-2, 0, 2
Let g(a) be the third derivative of a**8/2016 - a**7/1260 - a**6/144 + a**5/72 + a**4/36 - a**3/9 - a**2 - 23. Solve g(r) = 0 for r.
-2, -1, 1, 2
Solve 6/7 - 4/3*w**2 - 2/7*w + 2/21*w**5 + 4/21*w**3 + 10/21*w**4 = 0.
-3, -1, 1
Let f = -1598 - -1602. Let d(q) be the first derivative of 0*q + 0*q**2 + 1/8*q**f + 1 - 1/20*q**5 - 1/12*q**3. Find w such that d(w) = 0.
0, 1
Suppose -2/9*v**2 + 22/3 + 64/9*v = 0. What is v?
-1, 33
Let y be (1/3)/((-7)/(-14)). Let t(d) be the second derivative of -y*d**3 + 0 + 0*d**2 + 3/5*d**5 - 1/6*d**4 + 8*d. Factor t(p).
2*p*(2*p + 1)*(3*p - 2)
Let y(n) = 3*n**2 - 12*n - 44. Let w(m) = -50*m**2 + 205*m + 750. Let c(i) = -2*w(i) - 35*y(i). Factor c(v).
-5*(v - 4)*(v + 2)
Solve 0*v - 16/17*v**2 - 2/17*v**5 + 8/17*v**3 + 0 + 4/17*v**4 = 0 for v.
-2, 0, 2
Let i(u) be the third derivative of 2*u**7/945 + u**6/45 + 11*u**5/135 + u**4/9 - u**2 + 66. Factor i(d).
4*d*(d + 1)*(d + 2)*(d + 3)/9
Factor 36/7*w**3 - 54/7*w + 16/7*w**4 + 0*w**2 + 0 + 2/7*w**5.
2*w*(w - 1)*(w + 3)**3/7
Let u = 10718/20115 - -2/4023. Let q(d) be the second derivative of -1/30*d**4 + u*d**3 + 8*d + 0 - 16/5*d**2. Determine z, given that q(z) = 0.
4
Let g be (-2)/(-5) - 114/(-665). Factor -12/7*j - g - 8/7*j**2.
-4*(j + 1)*(2*j + 1)/7
Let i(w) be the third derivative of w**8/1344 - w**7/120 + w**6/60 + w**5/15 + 6*w**2 - 3. Suppose i(r) = 0. Calculate r.
-1, 0, 4
Let d(m) be the second derivative of -m**6/1080 - m**5/180 - m**4/72 - m**3/54 - 5*m**2/2 - 5*m. Let p(z) be the first derivative of d(z). Solve p(v) = 0 for v.
-1
Let p(x) be the second derivative of -1/40*x**5 - 5/9*x**3 + 0 + 14*x + 2/3*x**2 + 7/36*x**4. Factor p(h).
-(h - 2)**2*(3*h - 2)/6
Suppose -5 = -k - 0*k. Suppose 3*v + k*w - 11 = 0, 2*v = -4*w + 5 + 3. Determine l, given that 0 + 0*l**v + 1/6*l - 1/6*l**3 = 0.
-1, 0, 1
Determine b, given that 26/7*b**2 - 38/7*b + 12/7 = 0.
6/13, 1
Let l(v) be the first derivative of v**7/252 + v**6/60 + v**5/40 + v**4/72 - 38*v + 39. Let s(o) be the first derivative of l(o). Factor s(r).
r**2*(r + 1)**3/6
Let q = 371/734 + -2/367. Factor -q*w**4 + 0*w**3 + 0 + 1/4*w**5 + 1/2*w**2 - 1/4*w.
w*(w - 1)**3*(w + 1)/4
Let a(q) be the second derivative of -1/80*q**5 + 0*q**4 + 0*q**2 + 1/24*q**3 + 0 - 6*q. Factor a(i).
-i*(i - 1)*(i + 1)/4
Let g(r) be the first derivative of r**4/36 + 4*r**3/27 - r**2/6 - 22*r - 17. Let o(t) be the first derivative of g(t). Suppose o(m) = 0. What is m?
-3, 1/3
Solve 37*d**4 - 28*d**4 - 35*d**4 - 1400*d**2 - 50*d**4 - 520*d**3 - 4*d**5 - 500*d + 2500 = 0.
-5, 1
Suppose -6*m + 258 = -0*m. Factor -m*k - 44*k + 86*k + k**3.
k*(k - 1)*(k + 1)
Suppose 3*a + 3 + 11 = -k, 0 = k + 2*a + 9. Let p be (3/21)/(k*2/4). Suppose p*g - 4/7*g**3 + 2/7*g**4 + 2/7*g**5 + 2/7 - 4/7*g**2 = 0. What is g?
-1, 1
Determine z, given that 844*z**2 + 280 - 1942*z**2 + 130*z + 953*z**2 + 5*z**3 = 0.
-1, 2, 28
What is i in 26*i**3 + 3/4*i**5 - 27*i**2 + 16 - 8*i - 31/4*i**4 = 0?
-2/3, 1, 2, 4
Let w = -4 + -1. Let m be (-2)/w*(-2 - (-33)/9). Factor -2/3*r**2 - 4/3*r - m.
-2*(r + 1)**2/3
Let v(u) be the first derivative of -