*l**3 + 1615*l**2 + 280*l + 17. Let c(y) = 68*y**3 - 202*y**2 - 34*y - 2. Let m(r) = 2*a(r) + 17*c(r). Factor m(n).
2*n*(n - 3)*(35*n + 3)
Let g = 452 + -451. Let r(w) = 2*w**3 + 2*w**2 + w. Let y(x) = 3*x**4 + 51*x**3 + 32*x**2 - x. Let l(n) = g*r(n) + y(n). Factor l(p).
p**2*(p + 17)*(3*p + 2)
Let v(d) = 7*d**3 - 446*d**2 - 458*d - 10. Let f(z) = 36*z**3 - 2228*z**2 - 2290*z - 52. Let c(y) = 5*f(y) - 26*v(y). Let c(r) = 0. Calculate r.
-1, 0, 229
What is p in -120/7*p + 76/7*p**2 - 8/7*p**3 - 2/7*p**4 + 54/7 = 0?
-9, 1, 3
Let r = 301 + -296. Factor 22 - r + 73 + 5*s**2 - 45*s.
5*(s - 6)*(s - 3)
Let m = -3 - -5. Let w(a) = a**2 - 2*a + 2. Let l be w(0). Factor 9*o**l - 6*o + m*o**2 - 6*o**2 + 5 - 4*o.
5*(o - 1)**2
Suppose 3/5*c**2 - 270 - 9*c = 0. What is c?
-15, 30
Suppose 3*m = 0, l - 3*m + 1 = 18. Let k = -12 + l. Factor 4*t**k - 756 + 756 + 7*t**4 - 2*t**3.
t**3*(t + 2)*(4*t - 1)
Let k(b) = -43*b**3 + 2304*b**2 - 25877*b + 76. Let w(u) = -136*u**3 + 7296*u**2 - 81944*u + 240. Let i(n) = -60*k(n) + 19*w(n). Factor i(g).
-4*g*(g - 83)*(g - 13)
Let b(y) be the first derivative of -123 + 0*y - 3/32*y**4 + 5/8*y**3 + 9/2*y**2. Suppose b(g) = 0. What is g?
-3, 0, 8
Let y(m) be the second derivative of -m**5/80 - 65*m**4/16 - 3201*m**3/8 - 9409*m**2/8 + 742*m - 2. Factor y(d).
-(d + 1)*(d + 97)**2/4
Let p(i) be the second derivative of 6*i + 1/330*i**5 + 29/2*i**2 + 1/22*i**4 + 0 + 5/33*i**3. Let x(y) be the first derivative of p(y). Factor x(v).
2*(v + 1)*(v + 5)/11
Let d be 1/(-2)*-2*(-18 + 17). Let i(p) = p**3 - 1. Let m(v) = 3*v**4 + 26*v**3 + 54*v**2 + 60*v + 19. Let x(l) = d*m(l) + 5*i(l). Factor x(f).
-3*(f + 1)*(f + 2)**3
Let b = -595137 - -7737173/13. Factor 282/13*x**2 + 2/13*x**4 - 56*x + b + 4*x**3.
2*(x - 1)**2*(x + 14)**2/13
Suppose -5*b = -5*c + 170, -2*c + 50 = -5*b - 12. Factor -11*x**2 + c + 7*x**2 + 24*x + 8*x**2.
4*(x + 3)**2
Let a(o) be the first derivative of 0*o**3 + 0*o**2 + 5/6*o**6 + o**5 + 0*o + 0*o**4 + 36. Factor a(n).
5*n**4*(n + 1)
Let h(j) be the second derivative of 22*j**6/15 + 19*j**5/5 + 43*j**4/12 + 4*j**3/3 - 346*j. Factor h(x).
x*(2*x + 1)**2*(11*x + 8)
Suppose -3*f = -5*r + 60, -2*r + 1909*f + 81 = 1904*f. What is b in 8/11*b - 2/11*b**4 + 0 - 2/11*b**r + 8/11*b**2 = 0?
-2, -1, 0, 2
Let f(g) be the third derivative of -g**6/40 - g**5/20 - 5*g**4/24 - 5*g**3/6 + 10*g**2. Let c be f(-3). Factor -z**3 - c*z - 133 + 16*z**2 + 65 + 68.
-z*(z - 8)**2
Let v = -34 + 37. Suppose -4*z - q = 4*q - 12, 12 = 4*z + v*q. Solve -52*i**4 + 1 + 12*i**5 - 69*i**z + 100*i**4 - 39*i**2 + 14 + 33*i = 0.
-5, -1/2, 1
Let t be (-3 + (-27)/(-6))*10164/63. Suppose -6*h + 260 = t. Determine n, given that 3/5*n - 9/5*n**h + 0 - 4/5*n**4 + 2*n**2 = 0.
-3, -1/4, 0, 1
Factor -4/7*q**2 - 1496/7*q - 139876/7.
-4*(q + 187)**2/7
Let y(z) be the third derivative of z**7/105 + 6*z**6/5 - 76*z**5/15 - 24*z**4 + 592*z**3/3 + 1662*z**2. Factor y(w).
2*(w - 2)**2*(w + 2)*(w + 74)
Let p = -21133 + 21139. Let a(f) be the second derivative of 0*f**2 - 9*f - 1/42*f**7 + 2/15*f**p + 0*f**3 + 0 - 1/2*f**4 - 1/20*f**5. Factor a(l).
-l**2*(l - 3)*(l - 2)*(l + 1)
Let v(n) be the third derivative of n**5/120 + 23*n**4/48 + 7*n**3/2 - n**2 - 1557*n. Suppose v(l) = 0. Calculate l.
-21, -2
Suppose 95 = 5*x - 5*v, -47 = 4*x + 4*v - 147. Suppose 0*k + 4*k = 2*i + 12, -3*i = 2*k - 6. Factor k*u - 14*u + x*u + 4*u + 5*u**2 - 20.
5*(u - 1)*(u + 4)
Let w = -897 - -899. Determine y so that -4*y**2 + 8*y + 30 + 0*y - 2*y**2 + 5*y + 5*y**w = 0.
-2, 15
Let s(k) be the second derivative of -13*k - 2*k**2 + 3/4*k**5 - 1/30*k**6 + 0 - 1/14*k**7 + 5/12*k**4 - 2*k**3. Solve s(y) = 0 for y.
-2, -1, -1/3, 1, 2
Let p(g) be the first derivative of 46*g**3/3 - g**2 - 2*g + 10. Let s be p(-7). Find a, given that 2266*a**3 - a**4 + a**5 - s*a**3 = 0.
0, 1
Let q(g) be the first derivative of 2/21*g**2 + 0*g - 46/63*g**3 + 166. Find l such that q(l) = 0.
0, 2/23
Let k(b) be the second derivative of 88*b**7/49 - 452*b**6/35 + 2913*b**5/140 + 13*b**4/14 - 229*b**3/14 - 60*b**2/7 - 3*b - 213. What is v in k(v) = 0?
-1/4, 1, 40/11
Let d(m) be the first derivative of -m**6/12 + 13*m**5/10 + m**4/8 - 13*m**3/6 - 643. Suppose d(b) = 0. What is b?
-1, 0, 1, 13
Let q be (-267)/(-15) + 66/55. Let -q - 36 - 836*x**3 + 837*x**3 - 53*x**2 - 109*x = 0. What is x?
-1, 55
Let y be 0 + 27/315 + (-35)/(-49). Suppose 0 + 4/5*t**5 - 24/5*t**3 + 32/5*t + 16/5*t**2 - y*t**4 = 0. What is t?
-2, -1, 0, 2
Let o = -1614 + 1614. Let b(j) be the second derivative of -2/9*j**2 + 1/27*j**4 - 13*j + o - 1/45*j**5 + 2/27*j**3. Find i such that b(i) = 0.
-1, 1
What is u in -230/19*u**2 - 192/19 + 2/19*u**4 + 404/19*u + 16/19*u**3 = 0?
-16, 1, 6
Let c(i) be the third derivative of i**8/560 + i**7/140 + i**6/120 - 7*i**3/3 - 2*i**2 + 31*i. Let n(j) be the first derivative of c(j). Factor n(y).
3*y**2*(y + 1)**2
Find x such that 23*x + 1/7*x**2 - 1710/7 = 0.
-171, 10
Let z = 2250 - 2250. Let v(x) be the third derivative of 0*x**5 + z*x**3 + 10*x**2 + 0 + 0*x - 1/180*x**6 + 0*x**4 - 1/630*x**7. Factor v(q).
-q**3*(q + 2)/3
Suppose -2*r - 2 = -4*p + 60, -4*r = 3*p - 52. Suppose p*l - 26 = 70. Find q such that -l - 1/6*q**2 + 2*q = 0.
6
Let i = -169 - -219. Factor -g**2 - 4 + i*g - 28*g - 19*g + 2.
-(g - 2)*(g - 1)
Let x be (-80)/30 - (258/36)/(-5 + 4). Suppose x + 15/4*n + 3/4*n**2 = 0. Calculate n.
-3, -2
Let q(k) be the first derivative of 2*k**2 + 7 + 1/10*k**5 - 17*k - 1/3*k**3 - 1/3*k**4. Let b(s) be the first derivative of q(s). Find c, given that b(c) = 0.
-1, 1, 2
Let g(q) = -q**5 + 18*q**4 - 5*q**3 + 4*q**2 - 16*q + 11. Let f(d) = -2*d**4 + d**3 + d - 1. Let t(i) = 33*f(i) + 3*g(i). Solve t(c) = 0 for c.
-5, -1, 0, 1
Let x(k) be the second derivative of 0*k**2 - 1/60*k**5 + 5*k - 1/90*k**6 + 1/18*k**3 + 3 + 1/36*k**4. Solve x(g) = 0 for g.
-1, 0, 1
Let z(a) be the first derivative of -1/4*a**2 + 54 + a + 1/10*a**5 + 1/8*a**4 - 1/2*a**3. Factor z(x).
(x - 1)**2*(x + 1)*(x + 2)/2
Suppose -17 = k + 4*i - 18, 0 = 2*k + 4*i - 10. Let d be (48/5 - k) + 5. Factor -4/5*b**2 + d*b + 32/5.
-4*(b - 8)*(b + 1)/5
Suppose 524/3*f**4 + 10/3*f**5 - 784/3 + 548/3*f**2 - 1976/3*f + 1678/3*f**3 = 0. What is f?
-49, -2, -2/5, 1
Solve -y + 0 + 0*y**3 + 1/2*y**4 - 3/2*y**2 = 0.
-1, 0, 2
Determine n, given that -34*n**3 - 9*n**3 - 17*n**3 + 5*n**2 + 204*n**3 - 29*n**3 - 120*n**4 = 0.
-1/24, 0, 1
Let f(p) be the second derivative of p**7/42 - p**6/10 - 453*p. Determine x, given that f(x) = 0.
0, 3
Let u(v) be the third derivative of v**5/20 - 177*v**4/4 - 7091*v**2. Factor u(p).
3*p*(p - 354)
Determine p so that -7*p**4 - 12 + 21*p**2 - 2*p**4 - 3*p**3 - 223338*p**5 + 223341*p**5 = 0.
-1, 1, 2
Let r(j) = 900*j - 141298. Let t be r(157). What is x in 3/2*x**2 + 0*x + t*x**3 + 1/2*x**4 + 0 = 0?
-3, -1, 0
Let x be ((-42)/(-20) + 3/(-2))*95. Let c = x - 55. Factor 24*r**2 + 2*r**4 - 12*r**2 - 14*r**c.
2*r**2*(r - 1)*(r + 1)
Let b be ((-39)/3)/(0 + (-1)/2). Suppose 2*d - b = 412. Factor 321*n**3 + 0*n**5 - 165*n**4 - 149*n + 3*n**5 + d*n**4 + 594*n**2 - 175*n - 648.
3*(n - 1)*(n + 1)*(n + 6)**3
Let v(a) be the first derivative of 9*a**5/5 - 151*a**4/4 + 470*a**3/3 - 178*a**2 - 104*a + 1017. Factor v(h).
(h - 13)*(h - 2)**2*(9*h + 2)
Let b(d) = 7*d**5 - 8*d**3 - 2*d**2 + 5*d - 2. Let z(y) = 46*y - 18*y**2 - 11*y + 3*y**2 - 55*y**3 + 50*y**5 - 15. Let r(u) = 15*b(u) - 2*z(u). Factor r(f).
5*f*(f - 1)**2*(f + 1)**2
Let i(d) be the third derivative of 19*d + 0 - 1/30*d**6 + 0*d**3 - d**2 + 5/6*d**4 + 4/15*d**5. Suppose i(x) = 0. Calculate x.
-1, 0, 5
Factor -201113 - 676106 - 2240880 - 38563*l + 442003*l - 12300*l**2 + 125*l**3 - 1292845.
(5*l - 164)**3
Let b = -189 + 191. Factor 111*d + d**b + 79*d - 1805 - 6*d**2.
-5*(d - 19)**2
Let z be (-9 + 13)/4 + (-8 - -8 - -1). Let -2/3*s**z + 74/9*s + 52/9 = 0. What is s?
-2/3, 13
Let l(y) be the second derivative of 625/2*y**2 + 1 + 28*y - 1/4*y**5 - 125/2*y**3 + 25/4*y**4. Factor l(t).
-5*(t - 5)**3
Let r be ((-80)/(-125))/(2 - 66992/33490). Let d = r - -1788. Factor 2/5 - 2/3*c**2 - d*c.
-2*(c + 3)*(5*c - 1)/15
Suppose 4*u = -2*h + 14, 5*u + 469 - 476 = h. Determine p, given that 15/4*p + 9/4*p**3 + 0 - 51/8*p**u = 0.
0, 5/6, 2
Let v(j) = -8*j + 192. Let y be v(24). Let z = 3 + y. Determine o, 