(l - 44)*(l - 2)/6
Let j be (1 + 0)/(11*18/1584). Suppose 82*m + j*m = 0. Factor 5/6*d**2 + m - 5/3*d.
5*d*(d - 2)/6
Suppose -5*h = -5*c - 30 + 125, -3*h - 71 = -4*c. Let n be (1 + 0)/(c/56). What is m in -2/17*m**5 + 0*m**n + 0*m + 0 + 6/17*m**3 - 4/17*m**2 = 0?
-2, 0, 1
Find q such that 520 + 48 + 361 - 247 + 398 + 4*q**2 + 548*q = 0.
-135, -2
Factor 549*u**2 + 191*u**2 + 9*u**4 - 60*u**3 + 2312*u + 280*u**2 - 8*u**4 - 6*u**3.
u*(u - 34)**2*(u + 2)
Let j(g) be the third derivative of -11*g**6/1080 + g**5/40 + g**4/36 - 110*g**3/3 - 317*g**2. Let n(h) be the first derivative of j(h). Factor n(w).
-(w - 1)*(11*w + 2)/3
Let n(c) = -7*c - 45. Let j(b) = b**3 - 6*b**2 + 3*b + 3. Let x be j(5). Let s be n(x). Suppose 5*t**4 + s*t**2 - 5*t**2 - 5*t**3 + t**2 = 0. Calculate t.
0, 1
Let b(i) = 4*i**2 - 27*i + 41. Let w be b(2). Factor 0*m**2 - 27*m - 21 - w*m**2 + 4*m**3 - 3 - m**3 - 3*m.
3*(m - 4)*(m + 1)*(m + 2)
Suppose -4*b = -10*b + 18. Find i, given that -4*i**4 + 63*i**b - 8*i**4 + i**5 - 4*i**5 - 75*i**3 = 0.
-2, 0
Suppose -3042/5*s - 1794*s**2 - 126*s**4 + 12634/5*s**3 + 8/5*s**5 + 0 = 0. What is s?
-1/4, 0, 1, 39
Let u(f) be the second derivative of -1/12*f**3 + 1/60*f**6 - 2 - 16*f - 1/24*f**4 + 1/40*f**5 + 0*f**2. Factor u(d).
d*(d - 1)*(d + 1)**2/2
Let y(b) be the first derivative of -b**4/2 + 20*b**3/3 - 27*b**2 + 36*b - 3371. Let y(o) = 0. Calculate o.
1, 3, 6
Let d(t) be the second derivative of t**4/30 - 712*t**3/15 + 126736*t**2/5 - 3*t + 196. Determine n, given that d(n) = 0.
356
Let k(j) = j**3 - 12*j**2 + 3*j - 32. Let v be k(12). Determine q so that v*q**3 - 14*q**4 + 35*q**4 - 22*q**4 - 2*q**3 = 0.
0, 2
Suppose -15*g + 24*g - 36 = 0. Let x(m) = 3*m**2 - 5*m + 4. Let y be x(1). Factor 20 + d**y + 19 - 23 - g*d + 12*d.
(d + 4)**2
Determine j, given that -1/7*j**2 + 3/7 + 2/7*j = 0.
-1, 3
Let d be 4902/(-946) + 4 + 1 - 100/(-66). Determine m, given that -4*m**4 + d*m**2 + 8/3 + 16/3*m**3 - 6*m + 2/3*m**5 = 0.
-1, 1, 4
Let y = -223974 + 671926/3. Solve -y - 2/3*p**5 + 14/3*p + 4/3*p**4 - 16/3*p**2 + 4/3*p**3 = 0.
-2, 1
Let q be (-3)/(-10)*204/(-170)*30/(-27). Let b(s) be the second derivative of -1/2*s**4 - 7*s - 2*s**3 + 0 + q*s**5 + 5*s**2. Let b(k) = 0. What is k?
-5/4, 1
Let a(j) = -18*j**3 + 764*j**2 + 2842*j + 2088. Let o(p) = -4*p**3 + 153*p**2 + 568*p + 417. Let t(b) = 3*a(b) - 14*o(b). Factor t(d).
2*(d + 1)*(d + 3)*(d + 71)
Let o be (-9)/24 + (-5)/(-240)*18514. Let h = o + -384. Factor -1/3 + h*l**2 + l.
(l + 1)*(4*l - 1)/3
Solve 548/5*u + 4/5*u**2 - 1112/5 = 0.
-139, 2
Let b(t) = 5*t**2 + 12*t - 1. Let a be b(-2). Let r be 11 + a*7/7. Let -9/2*c**3 - 15/4*c**5 + 51/4*c**4 + 0 - 15*c**2 + r*c = 0. Calculate c.
-1, 0, 2/5, 2
Factor -2 - 1363*o**3 + 690*o**3 + 2 + 1760*o + 678*o**3 - 1765*o**2.
5*o*(o - 352)*(o - 1)
Let l = 24176/60515 - -6/12103. Determine o so that -4/5*o**3 + 0 + 2/5*o**4 + 4/5*o - l*o**2 = 0.
-1, 0, 1, 2
Factor -27/2*r**2 - 15*r**4 - 117/4*r**3 + 0 + 0*r - 9/4*r**5.
-3*r**2*(r + 3)**2*(3*r + 2)/4
Let x be 180/54*15/(-10). Let f(c) = -14*c**2 + 6*c + 9. Let h(w) = -17*w**2 + 6*w + 9. Let s(r) = x*h(r) + 6*f(r). Determine l so that s(l) = 0.
-3
Factor -1510/3*n**2 + 2/3*n**3 + 285766/3*n - 284258/3.
2*(n - 377)**2*(n - 1)/3
Let -3/2*a**4 + 1953/2*a**2 + 8181/2*a + 75/2*a**3 - 5103 = 0. What is a?
-9, 1, 42
Let h = -13/1393 - -411/1393. Let m(f) = -f**2 - 2*f. Let s be m(0). Let -h*b**4 - 8/7*b**2 + s - 10/7*b**3 + 0*b = 0. What is b?
-4, -1, 0
Factor 314033 - 3*k**2 - 2184*k + 83455 - 4*k**2 + 10*k**2.
3*(k - 364)**2
Let f(s) be the third derivative of s**8/2240 + s**7/420 + s**6/240 + 77*s**4/24 + s**3/6 - 2*s**2 - s. Let m(u) be the second derivative of f(u). Factor m(a).
3*a*(a + 1)**2
Let u(w) be the second derivative of 5*w**4/12 + 80*w**3/3 - 170*w**2 + 161*w. Factor u(q).
5*(q - 2)*(q + 34)
Let h(j) = -j**2 - 1. Let y(v) = -7*v**2 + 25*v + 82. Let p(w) = w - 2. Let c(d) = -5*p(d) + y(d). Let s(t) = 3*c(t) - 24*h(t). Suppose s(a) = 0. Calculate a.
-10
Let t(j) be the third derivative of j**10/120960 - j**9/8640 - j**8/3360 - 4*j**4 + 37*j**2. Let c(z) be the second derivative of t(z). Factor c(x).
x**3*(x - 8)*(x + 1)/4
Let v(r) be the second derivative of r**5/120 - 23*r**4/72 + 20*r**3/9 - 19*r**2/3 - 2*r + 793. Let v(l) = 0. Calculate l.
2, 19
Factor 168/11 + 62/11*z + 2/11*z**2.
2*(z + 3)*(z + 28)/11
Factor -33/2 + 3/2*l**3 - 3/2*l + 33/2*l**2.
3*(l - 1)*(l + 1)*(l + 11)/2
Let c be (-52)/12 + 5 + (-991)/(-3). Factor l**3 + 366*l**2 - c*l**2 + 4*l**3 + 40 + 70*l.
5*(l + 1)*(l + 2)*(l + 4)
Let x be 504/288*(-160)/(-1540). Let -26/11*d**3 - x*d**5 + 24/11*d**2 + 0 - 8/11*d + 12/11*d**4 = 0. What is d?
0, 1, 2
Let g(b) be the third derivative of b**7/2940 - b**6/1260 - b**5/210 - b**3/3 - 32*b**2 + 2*b. Let q(v) be the first derivative of g(v). Factor q(t).
2*t*(t - 2)*(t + 1)/7
Let m be ((-68)/(-1326))/((-6)/(-13)). Let c(y) be the third derivative of -1/24*y**4 + 1/180*y**5 + m*y**3 + 0 + 0*y + 16*y**2. Factor c(p).
(p - 2)*(p - 1)/3
Let y be (-6)/(-4)*1648/24. Factor 2*j + 48*j**2 - y*j**2 + 56*j**2 + 14*j + 15.
(j + 1)*(j + 15)
Factor -120*q**2 - 10240 - 61*q**2 + 85*q**2 + 4*q**3 - 2304*q.
4*(q - 40)*(q + 8)**2
Suppose 0*v - 52 = -52*v. Let v + 0*f + 5*f + 5*f**2 - 5 - 6 = 0. What is f?
-2, 1
Suppose 3*y + 5*j - 7 = 0, 5*j - 3 + 0 = -2*y. Let t be 1 + 12 - (8 - -2). Factor -9*x**t - 4*x**5 + 208*x**4 + 2*x**5 + x**5 - 202*x**y + 4*x**2.
-x**2*(x - 4)*(x - 1)**2
Let j(k) be the third derivative of 0*k + 0*k**3 + 2/15*k**6 + 0*k**4 - 1/105*k**7 - 39*k**2 + 0 - 7/30*k**5. Factor j(v).
-2*v**2*(v - 7)*(v - 1)
Let w = 58391/21 + -2783. Let s = 36/7 + w. Factor s*z + 4/3*z**3 + 8/9 + 2/9*z**4 + 26/9*z**2.
2*(z + 1)**2*(z + 2)**2/9
Suppose 0 = -5*m + j + 11, 41*m - 38*m - 4*j - 10 = 0. Let n(o) be the second derivative of o - 2/3*o**3 + 0 + 1/3*o**4 + 0*o**m. Factor n(q).
4*q*(q - 1)
Let z(c) be the first derivative of 50*c**3/27 + 7760*c**2/9 + 1204352*c/9 - 4891. Factor z(i).
2*(5*i + 776)**2/9
Let x(u) be the first derivative of u**6/2 - 51*u**5/5 + 12*u**4 + 4494. Factor x(s).
3*s**3*(s - 16)*(s - 1)
Let x(u) be the second derivative of -29*u**7/63 + 23*u**6/9 - 17*u**5/3 + 55*u**4/9 - 25*u**3/9 - u**2/3 + 1686*u. Suppose x(d) = 0. Calculate d.
-1/29, 1
Let p(w) = 12*w - 119. Let i be p(10). Let g be (-2)/10*(-85)/17 - i. Let -u - 1/4*u**3 - u**2 + g = 0. What is u?
-2, 0
Let g(o) be the second derivative of -o**6/120 - 29*o**5/40 - 65*o**4/4 + 75*o**3 - 1170*o. What is p in g(p) = 0?
-30, 0, 2
Let v(f) be the second derivative of -f**6/60 + 7*f**5/30 - 2*f**4/3 - 16*f**3/3 + 7*f**2 - 2*f + 38. Let w(x) be the first derivative of v(x). Factor w(i).
-2*(i - 4)**2*(i + 1)
Suppose 907 + 17 + 6*h**2 + 3*h**3 + 194*h**2 - 44*h**2 + 1077*h = 0. Calculate h.
-44, -7, -1
Suppose -2 = 3*i - 4*i. Factor -9*h - 15*h**i + 7*h - 250*h**3 - 10*h + 247*h**3.
-3*h*(h + 1)*(h + 4)
Let p be (23/23 + -2)*0. Solve p + 0*x**4 - 4*x**3 - 8/3*x**2 + 4/3*x**5 + 0*x = 0.
-1, 0, 2
Let u = 2/6581 + 6541/131620. Let r(b) be the third derivative of 1/150*b**5 + 0 + 18*b**2 + 0*b + 0*b**3 + u*b**4. Factor r(d).
2*d*(d + 3)/5
Suppose 2*n = -4*j + 6, -j + 6 - 1 = -3*n. Factor 4/5*u**j + 32/5*u + 64/5.
4*(u + 4)**2/5
Let c(s) be the first derivative of s**7/420 + 7*s**6/900 + s**5/150 + 24*s**3 + 92. Let h(m) be the third derivative of c(m). Let h(d) = 0. What is d?
-1, -2/5, 0
Let h be (384/80)/(4 + (-996)/250). Let y = h - 297. Factor 0 + 10*q**y + 5/3*q - 35/3*q**2.
5*q*(q - 1)*(6*q - 1)/3
Let z be (3960/21)/5 + 2/7. Suppose -10 = -6*b + z. Suppose 30*f**2 - 20*f**3 + 5 + b*f**4 - 2*f - 3*f**4 - 18*f = 0. What is f?
1
Let a(t) be the third derivative of 7/30*t**4 + 0*t + 7/25*t**5 + 23*t**2 + 1/150*t**7 + 47/600*t**6 + 0 - 8/15*t**3. Find v, given that a(v) = 0.
-4, -2, -1, 2/7
Let r = -1/35734 - -214411/250138. Find v such that 2*v**2 + 72/7*v + 40/7 - r*v**3 = 0.
-2, -2/3, 5
Let i = 4666 - 4660. Let w(n) be the third derivative of 0 + 1/320*n**i + 0*n**4 + 1/4*n**3 + 0*n + 12*n**2 - 3/160*n**5. Factor w(b).
3*(b - 2)**2*(b + 1)/8
Let s be (-30)/40 + (-67)/(-4). Let t be -3*s/24 - -4. Factor 0 + 3/5*i**3 + 0*i**t + 0*i + 3/5*i**4.
3*i**3*(i + 1)/5
Let c(x) be the second derivative of -x**6/10 - 1023*x**5/20 - 28899*x**4/4