**2 + 53*u + u**2 + 3*u**3 - 25*u**2.
3*(u - 9)*(u - 4)*(u - 2)
Suppose l - 54 = -3*b, -3*b - 4*l + 66 = l. What is q in -36*q**2 - 44*q**2 + b - 47*q + 210*q**4 + 185*q**3 + 3 - 28*q + 40*q**5 = 0?
-4, -1, 1/4, 1/2
Let a(y) be the first derivative of -y**4/36 - 11*y**3/27 + 25*y**2/18 - 13*y/9 + 91. Factor a(j).
-(j - 1)**2*(j + 13)/9
Suppose 0 = -2*n + z, -5*z + 23 = 3. Find j such that 11*j**4 - 30*j**n - 27*j**3 - 9*j**3 + 13*j**4 + 0*j**3 + 9*j + 6 = 0.
-1/2, 1/2, 2
Let n(b) be the first derivative of -b**6/8 + 231*b**5/10 - 4329*b**4/4 - 3042*b**3 - 1026. Determine u so that n(u) = 0.
-2, 0, 78
Let d(v) = -6*v**4 + 373*v**3 + 800*v**2 - 15*v + 5. Let w(k) = -21*k**4 + 1305*k**3 + 2802*k**2 - 54*k + 18. Let p(h) = 18*d(h) - 5*w(h). Factor p(q).
-3*q**2*(q - 65)*(q + 2)
Let z(a) be the third derivative of 3*a**6/80 + 41*a**5/5 + 325*a**4/12 + 36*a**3 + 2*a**2 + 12*a - 15. Factor z(m).
(m + 108)*(3*m + 2)**2/2
Let h = -12248/5 - -2450. Let q(f) be the first derivative of 0*f**3 + h*f**4 + 0*f**2 - 2/15*f**6 + 4/25*f**5 + 0*f - 24. Determine g so that q(g) = 0.
-1, 0, 2
Solve -5*n**4 - 58*n + 31*n**3 - 422*n - 576 + 8*n**4 - 19*n**3 + 44*n**2 - 128*n**2 = 0 for n.
-4, -2, 6
Let a(h) be the third derivative of -8*h**5/135 - 95*h**4/108 + 2*h**3/9 + 269*h**2 + 2. Factor a(l).
-2*(l + 6)*(16*l - 1)/9
Suppose -5*l = 3*j + 14, -l + 14 = 5*j - 2*l. Let k(s) = 5*s**2 - 112*s + 1083. Let b(a) = -11*a**2 + 223*a - 2166. Let o(m) = j*b(m) + 5*k(m). Solve o(y) = 0.
19
Let r be (8/30)/((-812)/(-1160))*(-21)/(-14). Factor -2/7*w**4 - r*w**3 + 0*w + 0 - 2/7*w**2.
-2*w**2*(w + 1)**2/7
Let b = 25712/469 + -3654/67. Factor 2/7*p**2 + 0 - 2/7*p**4 + 2/7*p - b*p**3.
-2*p*(p - 1)*(p + 1)**2/7
Let z be (-4 + (-800)/(-56))*7. Let b be ((-5)/(-2))/(3*16/z). Determine q so that b*q + 3/4 + 3*q**2 = 0.
-1, -1/4
Let f = -2544137 - -58501974/23. Let r = f - -573. Factor 8/23*k + r*k**2 - 10/23.
2*(k - 1)*(k + 5)/23
Let p(z) be the third derivative of -z**5/30 - z**4/3 + 55*z**3 - z**2 + 44*z. Solve p(x) = 0 for x.
-15, 11
Solve 0*l + 58/3*l**3 + 0 + 2*l**4 - 20/3*l**2 = 0 for l.
-10, 0, 1/3
Solve 40/3*s**2 + 5/3*s**3 + 85/3*s + 50/3 = 0.
-5, -2, -1
Suppose 192 = -5*g - 4*c, g - 3*c + 2*c + 33 = 0. Let i = -33 - g. Factor r - 12 - 21*r + 4*r**i - 4*r**2 + 0.
4*(r - 3)*(r + 1)**2
Let n = 4407847/7 - 629685. Let -2/7*r**5 - 54/7 + 54/7*r + 36/7*r**2 + 18/7*r**4 - n*r**3 = 0. Calculate r.
-1, 1, 3
Let a be (-319435)/(-109214) + 10/(-4). Let n = a - -1/269. Let -6/7*f + 9/7*f**4 + 3/7*f**5 - 9/7*f**2 + n*f**3 + 0 = 0. Calculate f.
-2, -1, 0, 1
Let n(s) be the third derivative of -s**7/2940 + s**6/126 - 23*s**5/420 + s**4/6 + 71*s**3/6 - 129*s**2. Let o(h) be the first derivative of n(h). Factor o(p).
-2*(p - 7)*(p - 2)*(p - 1)/7
Let b(j) be the second derivative of -j**6/45 + j**5/15 + 3*j**4/2 - 36*j**2 + 2538*j. Determine o so that b(o) = 0.
-3, 2, 6
Let j be 39 + (18 - -3) + -60. Solve -2/7*r + 1/7*r**2 + j = 0 for r.
0, 2
Let v(o) = 295*o**3 - 2*o**2 + 9*o - 7. Let p be v(1). Let k = 295 - p. Solve -15/2*f + 9*f**4 + 6*f**3 - 9*f**2 + 3/2*f**5 + k = 0 for f.
-5, -1, 0, 1
Let p(a) be the third derivative of 21025*a**5/12 + 725*a**4/12 + 5*a**3/6 - 26*a**2 + a. Find i, given that p(i) = 0.
-1/145
Determine g, given that 268*g**3 - 2672*g - 2136/5*g**2 + 192/5*g**4 + 4320 - 4/5*g**5 = 0.
-5, 2, 54
Let d(h) be the first derivative of -40*h + 191 + 50*h**3 + 48*h**2 + 7/2*h**4. Factor d(c).
2*(c + 1)*(c + 10)*(7*c - 2)
Let l(s) be the third derivative of s**5/270 + s**4/6 - 175*s**3/27 - 91*s**2 + 4. Determine j, given that l(j) = 0.
-25, 7
Let x be (34/(-28) - -1)*-4. Let m = -123408 - -123410. Find v, given that x - 8/7*v**m - 22/7*v = 0.
-3, 1/4
Let g = -24 - -24. Let m be -12 + (-33)/((-3960)/1488). Suppose 2*h**3 - 2*h + m*h**4 + g - 2/5*h**2 = 0. What is h?
-5, -1, 0, 1
Let b(i) be the first derivative of 2/9*i**3 - 5/12*i**2 - 28 - 1/24*i**4 + 1/3*i. Determine y, given that b(y) = 0.
1, 2
Let p(o) = -62*o**2 + 258*o + 718. Let n(s) = -16*s**2 + 64*s + 180. Let t(f) = -23*n(f) + 6*p(f). Let t(x) = 0. Calculate x.
-2, 21
Let d(q) = -q**3 - 8*q**2 - 16*q - 2. Let y be d(-4). Let o be (-2 - y)/(21/7). Factor o*l + 1/2*l**5 + 3/2*l**3 - 1/2*l**2 + 0 - 3/2*l**4.
l**2*(l - 1)**3/2
What is l in -24/5 - 2/15*l**3 + 6/5*l**2 + 8/15*l = 0?
-2, 2, 9
Let d(r) = -8*r**2 - 6*r + 12. Let y be d(3). Let u = y - -236/3. Find w, given that -2*w + 2*w**2 + 2/3 - u*w**3 = 0.
1
Let c(j) be the second derivative of 0*j**4 + 0*j**2 - 1/80*j**5 + j**3 - 16*j + 1/80*j**6 + 0. Let d(i) be the second derivative of c(i). Factor d(a).
3*a*(3*a - 1)/2
Let m = -170/769 + 339469/1538. Factor 1029/2*y + 63/2*y**3 - m*y**2 + 0 - 3/2*y**4.
-3*y*(y - 7)**3/2
Let o(t) be the first derivative of 58 + 1850/3*t**2 + 35/12*t**4 + 710/9*t**3 + 1000/3*t. Factor o(q).
5*(q + 10)**2*(7*q + 2)/3
Let z be ((-100)/(-9))/(4/12). Let t = -255753 - -255755. Factor 5/3*f**t - z*f + 500/3.
5*(f - 10)**2/3
Factor -6*a**2 + 4*a**2 - 11 - 9 + 56*a + 20.
-2*a*(a - 28)
Let v = -11378 + 11384. Let l(q) be the third derivative of 2*q**5 - 5/12*q**v - 125/6*q**3 + 0*q + 25/12*q**4 + 20*q**2 + 0 + 1/42*q**7. Factor l(y).
5*(y - 5)**2*(y - 1)*(y + 1)
Let s(a) be the third derivative of a**7/350 - 13*a**6/200 - 33*a**5/100 + 9*a**4/8 + 1131*a**2. Factor s(c).
3*c*(c - 15)*(c - 1)*(c + 3)/5
Let b(t) be the second derivative of t**5/20 - 19*t**4/6 + 12*t**3 - 1170*t + 1. Find u such that b(u) = 0.
0, 2, 36
Let m be 2/(-8*(-8)/160). Let i(b) be the first derivative of -7 + 5*b**m - 2*b**2 - 16/3*b**3 - 5/4*b**4 + 0*b. Factor i(q).
q*(q - 1)*(5*q + 2)**2
Factor -2/9*u**3 + 3910/9*u - 1100 - 376/9*u**2.
-2*(u - 5)**2*(u + 198)/9
Suppose 0 = -3*r + z + 885, -7*r + 590 = -5*r - 5*z. Factor -4*s**2 + 0*s**2 + s - 1789 - 379 - 3308 + r*s.
-4*(s - 37)**2
Let w(s) be the second derivative of 115*s**7/21 + 43*s**6/6 - 141*s**5/4 - 185*s**4/12 + 475*s**3/6 - 15*s**2 - 33*s - 7. Suppose w(g) = 0. Calculate g.
-2, -1, 3/46, 1
Let q(x) be the first derivative of -x**5/15 + 17*x**4/6 - 61*x**3/9 - 16*x**2 - 3465. Find v, given that q(v) = 0.
-1, 0, 3, 32
Let p(m) be the first derivative of 4*m - 107 + 1/3*m**3 + 5/2*m**2. Factor p(f).
(f + 1)*(f + 4)
Let s(h) be the second derivative of -h**7/336 - 47*h**6/240 - 35*h**5/16 + 2575*h**4/48 + 117*h**3/16 - 5103*h**2/16 + 43*h + 7. Find k such that s(k) = 0.
-27, -1, 1, 7
Let f be (1 + 0)/(1/20). Suppose -5*k = -4*h - f, -4*k - 4*h + 25 = 9. Factor 16/5*j**3 - 16*j**k + 0*j**2 + 0*j + 0 + 20*j**5.
4*j**3*(5*j - 2)**2/5
Let t(h) be the first derivative of 0*h + 97 + 11/2*h**2 + 4*h**3 + 1/4*h**4. Factor t(u).
u*(u + 1)*(u + 11)
Let j(f) be the second derivative of f**6/10 + 159*f**5/20 + 23*f**4/2 - 156*f**3 - 13*f - 89. Factor j(k).
3*k*(k - 2)*(k + 3)*(k + 52)
Factor 1/4*d**2 + 337/2 - 675/4*d.
(d - 674)*(d - 1)/4
Let i(h) be the second derivative of 2 + 3/5*h**2 + 1/10*h**3 - 1/20*h**4 - 23*h. Factor i(w).
-3*(w - 2)*(w + 1)/5
Let y(q) be the second derivative of q**7/504 - 17*q**6/72 + 289*q**5/24 + 67*q**4/4 + 10*q + 3. Let f(u) be the third derivative of y(u). Factor f(b).
5*(b - 17)**2
Let x(w) be the second derivative of w**7/2520 + w**6/120 + w**5/24 + 7*w**4/72 - 17*w**3 + 5*w. Let f(j) be the second derivative of x(j). Factor f(b).
(b + 1)**2*(b + 7)/3
Factor -4215 + 13*t - t**2 + 10*t + 4095 + 6*t.
-(t - 24)*(t - 5)
Let k be -3 + ((-14)/6)/(24/(-72)). Let m(s) be the first derivative of -7/6*s**6 - 26/5*s**5 + 0*s**2 + 28 + 2*s**k + 0*s**3 + 0*s. Factor m(i).
-i**3*(i + 4)*(7*i - 2)
Let u = 1524/1057 + -2/151. Let a be (0 - (-1)/(-7))*-55 + 9/(288/(-224)). Factor 4*m + a*m**2 - u.
2*(m + 5)*(3*m - 1)/7
Suppose -205*n + 313*n = 0. Suppose -20/7*m**3 - 4/7*m**4 + 0*m + 24/7*m**2 + n = 0. Calculate m.
-6, 0, 1
Solve 167*x - 687*x + 200 - 614*x**2 + 3*x**3 - 59*x**3 = 0.
-10, -5/4, 2/7
Let o(v) be the third derivative of v**6/600 + v**5/100 - 13*v**4/20 - 8*v**3/3 + 547*v**2 + 1. Factor o(j).
(j - 8)*(j + 1)*(j + 10)/5
Let k(g) be the second derivative of -g**5/15 - g**4 - 16*g**3/3 + 193*g**2/2 - 131*g. Let b(t) be the first derivative of k(t). Find j such that b(j) = 0.
-4, -2
Let s(v) = 128*v**2 + 642*v + 10. Let p be s(-5). Determine o so that 2/3*o**2 + p + 4/9*o = 0.
-2/3, 0
Let u = 