**v + 15*d**2 + 1/15*d**5 + 0*d**4. Factor a(l).
-4*l**2*(l - 1)*(l + 1)
Let x(l) be the third derivative of 0*l + 1/5*l**4 - 1/2*l**3 + 1/2700*l**6 + 10*l**2 + 1/75*l**5 + 0. Let r(u) be the first derivative of x(u). Solve r(n) = 0.
-6
Let n = 47510 - 332470/7. Factor -120/7*d**3 - n*d**4 - 16/7 + 48/7*d + 44/7*d**2.
-4*(d + 1)**2*(5*d - 2)**2/7
Factor 44*m**3 + 290*m + 46*m**3 - 105*m**3 + 340 - 110*m - 505*m**2.
-5*(m - 1)*(m + 34)*(3*m + 2)
Let p = 39 - 25. Suppose -3*c + 5*m + 21 = 5, -4*c + 3*m = -p. Factor 7*l**2 + 3*l**5 - 9*l**4 - 4*l**2 + 9*l**c.
3*l**2*(l - 2)**2*(l + 1)
Let a be 1 + 1 + 0*(-13)/(-130). Factor 656 - 54*i**a - 56 - 70*i + 3*i**3 + 119*i + 131*i.
3*(i - 10)**2*(i + 2)
Let a(p) be the second derivative of -p**6/3 + 19*p**5/10 - 7*p**4/2 + 5*p**3/3 + 2*p**2 - 964*p. Solve a(s) = 0.
-1/5, 1, 2
Let m = -27677/44 - -629. Let i = m - -3/11. Factor -1/4 - i*c**2 - 1/2*c.
-(c + 1)**2/4
Let g(z) be the first derivative of -5*z**4/3 + 212*z**3 - 440*z**2 + 752*z/3 + 397. Let g(u) = 0. Calculate u.
2/5, 1, 94
Let f be (1 - -1)/2 + 0. Let c be (17 - -4) + (64583/(-68))/131. Let -19/4*k**3 + 2*k + 23/4*k**2 - c*k**4 - 25/4*k**5 - f = 0. Calculate k.
-1, 2/5
What is a in -25/2*a**2 + 60*a - 15*a**3 + 58 - 1/2*a**4 = 0?
-29, -2, -1, 2
Let q(g) = 2*g**4 - 6*g**3 - 18*g**2 + 14*g + 102. Let l(h) = 2*h**4 - 7*h**3 - 18*h**2 + 15*h + 115. Let z(p) = -6*l(p) + 7*q(p). Let z(v) = 0. What is v?
-3, -1, 2
Let o = 3899/1740 - -4/435. Let x(p) be the second derivative of 0 + 5/6*p**6 + o*p**5 + 35/12*p**4 + 17*p + 5/3*p**3 + 5/42*p**7 + 0*p**2. Factor x(y).
5*y*(y + 1)**3*(y + 2)
Let a = 1582 + -1564. Let k(f) be the first derivative of a + 0*f - 1/5*f**3 + 1/10*f**2 - 1/25*f**5 + 3/20*f**4. Factor k(w).
-w*(w - 1)**3/5
Let k(i) = -i**2 - 6*i - 3. Suppose 4*p + 20 = -0*p. Let l be k(p). Factor -8 - 18*r**l + 14*r**2 + 4 - 8*r.
-4*(r + 1)**2
Suppose -5*w = 10*w - 150. Let 5*u**2 + 2*u**3 - w*u**2 + 6*u + 0*u - 3*u**2 = 0. What is u?
0, 1, 3
Let q(z) be the second derivative of 1 - 8*z**2 - 3/16*z**4 + 44*z + 2*z**3. Find f such that q(f) = 0.
8/3
Suppose -l + 6 = 2*u, -5*u - 2 = 3*l - 3*u. Let i be -10*l/(-150)*(-25)/15. Suppose 2/9*j**2 + i + 2/3*j = 0. Calculate j.
-2, -1
Determine c so that 579*c - 820*c + 4*c**2 + 864 + 409*c = 0.
-36, -6
Let n(f) be the third derivative of 1/160*f**5 + 5/16*f**3 + 3/32*f**4 + 0 - 78*f**2 + 0*f. Factor n(g).
3*(g + 1)*(g + 5)/8
Let y(g) = g**3 + 0*g**4 - g**4 - g**2 + 1 + g + 0*g**3. Let p be 3*45/27*2/(-5). Let m(t) = 2*t**3 + 2*t**2 - 6*t. Let j(h) = p*m(h) - 4*y(h). Factor j(x).
4*(x - 1)**3*(x + 1)
Let n(k) be the second derivative of 2 - 7/2*k**3 - 7*k - 27*k**2 + 1/4*k**4. Factor n(v).
3*(v - 9)*(v + 2)
Suppose 657*k = -183*k + 333*k + 1521. Determine w, given that -21/5*w + 6/5 + 3/5*w**4 - 3*w**k + 27/5*w**2 = 0.
1, 2
Let b(k) be the first derivative of -2*k**3/21 - 492*k**2/7 - 3309. Factor b(h).
-2*h*(h + 492)/7
Let m(c) be the third derivative of c**7/315 + 7*c**6/60 + 19*c**5/30 + 55*c**4/36 + 2*c**3 - 1349*c**2. Factor m(b).
2*(b + 1)**3*(b + 18)/3
Let p(h) be the second derivative of 7*h**6/90 - 9*h**5/5 - 8*h**4/3 + 11*h**3/3 + h**2/2 + 2*h + 1. Let q(a) be the second derivative of p(a). Factor q(d).
4*(d - 8)*(7*d + 2)
Let r = 278 + -275. Solve 3*y**3 - 3*y**r - 2*y**3 + 7*y**3 + 50*y**2 - 3*y**3 = 0.
-25, 0
Let d(g) be the first derivative of -25/3*g**3 - 75 + 115/2*g**2 + 50*g. Find n, given that d(n) = 0.
-2/5, 5
Let n(t) be the third derivative of 3/40*t**6 - t + 0 + 0*t**4 + 0*t**3 - 1/20*t**5 - 49*t**2 - 3/70*t**7 + 1/112*t**8. Factor n(c).
3*c**2*(c - 1)**3
Factor -63*c - 16 - c**2 - 5 + 2*c**2 - 11 + c**2.
(c - 32)*(2*c + 1)
Let g(p) = p**3 + p**2 - 3*p + 79. Suppose 0 = 4*u - 3*u. Let y be g(u). Suppose -3*b**4 + 2*b**3 + 4*b**3 + 73*b + 3 - y*b = 0. What is b?
-1, 1
Solve 3/2*v**2 + 1131*v + 426387/2 = 0.
-377
Factor 105 + 3/4*m**2 + 81/4*m.
3*(m + 7)*(m + 20)/4
Suppose -10/3*w**2 - 269/6*w**3 - 53/6*w**4 + 0*w + 0 = 0. Calculate w.
-5, -4/53, 0
Let q(u) be the third derivative of -1/72*u**6 - 320/9*u**3 + 0 - 52*u - 1/2*u**5 + 3*u**2 - 20/3*u**4. Factor q(c).
-5*(c + 2)*(c + 8)**2/3
Factor -28 + 100 - 38*j - j**3 - 32 + 11*j**2.
-(j - 5)*(j - 4)*(j - 2)
Factor 731*m**3 - 4*m**4 - 2262*m**3 + 2*m**2 + 381*m**2.
-m**2*(m + 383)*(4*m - 1)
Let v(q) = -q + 1. Let o be -2 + -1 + 6 - (4 + -1). Suppose -a + o = -1. Let f(h) = 4*h**2 + 26*h + 18. Let s(y) = a*f(y) + 2*v(y). Factor s(x).
4*(x + 1)*(x + 5)
Let t = -252248/7 + 36036. Factor t*j + 1/7*j**2 + 4/7.
(j + 2)**2/7
Let d(r) = -4*r**2 + 34*r - 42. Let k(h) = -19 - 68 - 39*h + 108*h - 8*h**2 + 6. Let o(w) = 5*d(w) - 2*k(w). What is m in o(m) = 0?
2, 6
Factor 240/7*z + 2/7*z**2 + 34.
2*(z + 1)*(z + 119)/7
Let s be 3000/14685 + 60/(-2670). Determine v so that -4/11*v + s*v**2 + 0 = 0.
0, 2
Let j(u) be the second derivative of -u**5/20 + 77*u**4/12 + 157*u**3/6 + 79*u**2/2 - 3*u - 435. Factor j(g).
-(g - 79)*(g + 1)**2
Let d(z) be the first derivative of -4*z**5/25 - 3*z**4/10 + 2*z**3/15 + 3*z**2/5 + 2*z/5 - 1515. Suppose d(x) = 0. What is x?
-1, -1/2, 1
Let y(f) = -f**3 - 2*f**2 + 33*f - 5. Let a be y(-7). Suppose -a*z + 219 = 183. Find c, given that -c**3 - 7/5*c**z + 2/5*c**2 + 0*c + 0 = 0.
-1, 0, 2/7
Let s(u) = -10*u**5 - 40*u**4 + 19*u**3 + 787*u**2 + 3. Let w(y) = -12*y**5 - 40*y**4 + 16*y**3 + 788*y**2 + 4. Let i(a) = -4*s(a) + 3*w(a). Factor i(k).
4*k**2*(k - 4)*(k + 7)**2
Let u(x) be the second derivative of -x**5/4 - 155*x**4/12 - 70*x**3 + 50*x - 6. Solve u(d) = 0.
-28, -3, 0
Let g(s) be the second derivative of 0*s**4 + 0 - 1/14*s**7 + 0*s**2 + 0*s**3 - 27*s - 1/10*s**5 - 1/6*s**6. What is p in g(p) = 0?
-1, -2/3, 0
Let h = 229699/7 - 32814. Let h*p**2 + 9/7*p + 2 = 0. What is p?
-7, -2
Let b(o) = -24*o**3 - 11 + 30*o**2 - 31*o + 10 - 1 + 4*o**4 - 5. Let r(u) = -2*u**4 + 12*u**3 - 16*u**2 + 15*u + 3. Let d(z) = 6*b(z) + 14*r(z). Factor d(g).
-4*g*(g - 3)*(g - 2)*(g - 1)
Let w(j) be the first derivative of 2*j**3/3 + 928*j**2 + 430592*j - 4650. Factor w(x).
2*(x + 464)**2
Determine a, given that 0 + 0*a - 4/5*a**5 + 12/5*a**2 - 28/5*a**3 + 4*a**4 = 0.
0, 1, 3
Suppose -60 - 190 = -10*m. Let o be m/15*(-3 + -1 + 25). Suppose 15*z**4 + 2*z - o*z**3 - 7*z - 3*z**2 + 28*z**2 = 0. Calculate z.
0, 1/3, 1
Let l be (34/(-8) - -1) + (-46)/(-184). Let c be (l - (-594)/209)*8/(-3). Factor 0 - 6/19*p - 2/19*p**3 - c*p**2.
-2*p*(p + 1)*(p + 3)/19
Let 351/2 - 15*t**2 + 8*t**3 - 72*t - 1/2*t**4 = 0. Calculate t.
-3, 3, 13
Solve -12/5*l - 1/5*l**2 - 36/5 = 0 for l.
-6
Let h = 97 + -87. Suppose 10*u + h*u - 60 = 0. Suppose 0 + 2*s**4 - 4/3*s - 2/3*s**2 + 8/3*s**u = 0. What is s?
-1, 0, 2/3
Let i(w) be the first derivative of -9/2*w**2 - 1/4*w**3 - 30 - 27*w. Factor i(j).
-3*(j + 6)**2/4
Let y be -4 + (67 - (4 + -1)). Let t = 62 - y. Find n such that n - 15*n**2 - 3*n**3 + 6 + t*n + 1703*n**4 - 1694*n**4 = 0.
-1, -2/3, 1
Determine u, given that -633*u**4 - 524*u**3 + 2150*u**3 - 660*u - 8328*u**2 + 60*u**5 + 7479*u**2 - 84 = 0.
-1/4, -1/5, 2, 7
Let v = 39 - 45. Let r(j) = -4*j**3 + 29*j**2 - 13*j + 13. Let u(d) = d**3 - 7*d**2 + 3*d - 3. Let z(h) = v*r(h) - 26*u(h). Let z(c) = 0. What is c?
0, 4
Find m such that -5701 + 256 - 4758 - 6928 - 2552 - 3*m**2 - 486*m = 0.
-81
Let r(k) be the third derivative of k**6/420 + k**5/10 - 92*k**2 + 3. Find l such that r(l) = 0.
-21, 0
Factor 4*h**2 - 1265*h**3 + 2*h**4 - 34*h**2 + 1269*h**3.
2*h**2*(h - 3)*(h + 5)
Let h(j) be the first derivative of 2*j**6/9 + 24*j**5/5 - 136*j**4/3 + 256*j**3/3 + 3993. Suppose h(o) = 0. Calculate o.
-24, 0, 2, 4
Suppose 0*d**2 + 0 + 0*d + 189/4*d**3 + 3/4*d**4 = 0. Calculate d.
-63, 0
Let m(c) be the third derivative of 2/3*c**5 + 1/42*c**7 + 0*c**3 + 5/6*c**4 - c**2 + 5/24*c**6 + 0*c + 31. Determine s so that m(s) = 0.
-2, -1, 0
Let y(w) be the third derivative of -w**5/140 - 33*w**4/56 + 5*w**3 + w**2 - 562*w - 1. Factor y(d).
-3*(d - 2)*(d + 35)/7
Let l = -5284 - -5290. Let j(r) be the third derivative of -1/45*r**5 + 0*r + 0 + 1/180*r**l + 1/36*r**4 + 0*r**3 + 8*r**2. Factor j(t).
2*t*(t - 1)**2/3
Let m(c) be the second derivative of c**6/180 + 11*c**5/120 + 13*c**4/72 - 17*c**3/12 - 9*c**2/2 - 12*c - 27. Let m(f) = 0. Calculate f.
-9, -3, -1, 2
Let d = 2551/28 -