2)/2
Let q(u) = 1 - 5 + 5. Suppose 23 = 2*n - 5*z + 10, -5*n - 8 = z. Let c(p) = 10*p**2 - 5*p - 5. Let y(g) = n*c(g) - 5*q(g). Suppose y(h) = 0. Calculate h.
0, 1/2
Let x(c) be the third derivative of -c**7/70 - 3*c**6/40 + 17*c**5/20 + 39*c**4/8 + 10*c**3 + 705*c**2. Factor x(g).
-3*(g - 4)*(g + 1)**2*(g + 5)
Let h = 2873/15741 - 1/1431. Let q(j) = j**3 - 4*j**2 + 2. Let v be q(4). Solve h*x**v - 4/11 + 2/11*x = 0 for x.
-2, 1
Let n(t) be the first derivative of -2*t**5/5 - 102*t**4 - 270*t**3 - 202*t**2 + 6012. Factor n(o).
-2*o*(o + 1)**2*(o + 202)
Let d(u) be the first derivative of -7/10*u**4 - 3/25*u**6 + 2/5*u**3 + 12/25*u**5 - 14 - 16*u + 0*u**2. Let m(l) be the first derivative of d(l). Factor m(x).
-6*x*(x - 1)**2*(3*x - 2)/5
Let m = 288538 + -3173858/11. Suppose 2/11*v**2 - m*v + 58/11 = 0. Calculate v.
1, 29
Suppose -10*k = 4*b + 32, 404*b - 32 = 2*k + 408*b. Factor 19*v**3 + 0*v + k - 4*v**2 - 9/2*v**4.
-v**2*(v - 4)*(9*v - 2)/2
Let -1 - 1340*a**2 + 5*a**3 + 1148 - 6963 - 14708 - 10960*a - 1556 = 0. Calculate a.
-4, 276
Let n = -272 + 274. Factor 268*k - 2*k**3 - 36*k**n - 292*k - 3*k**4 - 16*k**3.
-3*k*(k + 2)**3
Suppose -2172*j + 388*j + 21408 = 0. Find h, given that j + 3/8*h**4 - 24*h + 63/4*h**2 - 33/8*h**3 = 0.
1, 2, 4
Find y such that 1111060*y + 85*y**3 - 75*y**2 - 1113645*y + y**4 - 6*y**4 - 2420 = 0.
-4, -1, 11
Suppose -19588/5*j**2 - 2/5*j**4 - 78*j**3 - 36864/5 - 56064/5*j = 0. Calculate j.
-96, -2, -1
Let q = 473 + -471. Factor 22*h - 6*h**2 + 8*h + 11*h**2 - 6*h - 3*h**q.
2*h*(h + 12)
Factor 2*x**3 - 2/9*x**4 + 0 - 16/3*x**2 + 32/9*x.
-2*x*(x - 4)**2*(x - 1)/9
Let l be -2 - (3 - 22865/4575). Let c = 1864/15555 + l. Factor -c*y**2 - 2/17 - 4/17*y.
-2*(y + 1)**2/17
Let o = 156413/10 + -15641. Let y(r) be the second derivative of 2/3*r**3 + 0 + 12*r + o*r**4 + 1/5*r**2. Find a such that y(a) = 0.
-1, -1/9
Let u(g) be the second derivative of 0*g**2 - 58*g + 2*g**5 - 5/3*g**3 + 1/2*g**6 + 5/4*g**4 + 0. Let u(w) = 0. What is w?
-2, -1, 0, 1/3
Factor 136/13*m - 2/13*m**2 + 576/13.
-2*(m - 72)*(m + 4)/13
Let k be ((-4214)/(-196))/((-1)/4*-2). Factor 4*n**3 - 22*n**2 - 52*n - k + 14*n**2 + 3.
4*(n - 5)*(n + 1)*(n + 2)
Let z(y) be the first derivative of -13*y**3/5 + 1737*y**2/10 + 162*y - 3715. Factor z(g).
-3*(g - 45)*(13*g + 6)/5
Let h(k) be the first derivative of k**2 - 7/20*k**5 - 11/6*k**3 + 23*k + 4/3*k**4 - 13. Let y(b) be the first derivative of h(b). Solve y(p) = 0.
2/7, 1
Suppose 2*h = 3*h. Suppose 4*o - 16 = -4*q, 2*q - o - 4 + 2 = h. Factor -2*v**q - 1071*v + 1071*v + v**3 + v**4.
v**2*(v - 1)*(v + 2)
Let m = -890609 - -2671843/3. Factor -4*k**2 + m*k + 2/3*k**3 + 0.
2*k*(k - 4)*(k - 2)/3
Let c(m) = -5*m**2 + 339*m + 678. Let j(b) = b - 3. Let a(t) = c(t) - 4*j(t). Determine s so that a(s) = 0.
-2, 69
Let v(x) = -150*x + 45. Let a be v(-4). Factor -397535 - 17*s**3 + 18*s**3 - 27735*s - 6*s**3 - a*s**2.
-5*(s + 43)**3
Let g(q) be the third derivative of -q**6/210 - 71*q**5/105 + 15*q**2 - q. Solve g(m) = 0 for m.
-71, 0
Determine z, given that -15*z**5 + 4500*z**2 + 13759*z + 13122 - 204*z**4 + 306*z**3 - 9*z**5 + 2547*z**2 + 5924*z = 0.
-9/2, -1, 6
Let g = 52306 + -52304. Factor -24*o - 2/3*o**g - 216.
-2*(o + 18)**2/3
Let o(v) be the third derivative of v**8/672 + 4*v**7/105 - 2*v**6/15 - 139*v**5/60 - 401*v**4/48 - 85*v**3/6 + 3097*v**2 - 2*v. Solve o(l) = 0.
-17, -2, -1, 5
Let 12/5*x**4 + 8/5*x**3 - 2*x + 2/5*x**5 - 12/5*x**2 + 0 = 0. What is x?
-5, -1, 0, 1
Let p(f) = f - 15. Let n be p(18). Find r such that 30*r**2 + 0*r**4 - 5*r**4 - 94*r**n + 89*r**3 = 0.
-3, 0, 2
Let n(k) = 96*k**2 - 31*k - 3. Let t be n(-2). Let x = -3081/7 + t. Determine a, given that -66/7*a - x + 2*a**2 = 0.
-2/7, 5
Let g(t) be the second derivative of t**7/168 - t**6/8 + 11*t**5/80 + 47*t**4/48 - 3*t**3 + 7*t**2/2 + 146*t + 4. Factor g(a).
(a - 14)*(a - 1)**3*(a + 2)/4
Suppose -82 + 262 = 30*r. Let y be (-20)/r*8*(-2)/48. Suppose -y*s**3 + 8/3*s - 2/3*s**2 - 8/9 = 0. Calculate s.
-2, 2/5, 1
Let -54*f + 3*f**2 - 18*f - 20*f**2 + 152 + 15*f**2 = 0. What is f?
-38, 2
Let u(p) = 6*p**5 + 24*p**4 + 12*p**3. Suppose -30*n + 84 = -27*n. Let w(o) = o**5 + o**4 + o**3. Let m(i) = n*w(i) - 2*u(i). Factor m(b).
4*b**3*(b - 1)*(4*b - 1)
Let r be 21 + (-33858)/3080 + -10. Let b(v) be the third derivative of 0 + 1/56*v**4 - r*v**5 - 3*v**2 + 0*v**3 + 0*v. Determine x, given that b(x) = 0.
0, 1
Let v(k) = -4*k**2 + 536*k + 507. Let g(j) = 7*j**2 - 1062*j - 1014. Let c(x) = -6*g(x) - 10*v(x). Factor c(z).
-2*(z - 507)*(z + 1)
Let p(g) be the second derivative of 1/9*g**3 - 2/45*g**5 - 1/27*g**4 + 0*g**6 + 2/9*g**2 + 10 - 6*g + 1/189*g**7. Solve p(a) = 0 for a.
-1, 1, 2
Suppose 2112 = 1273*k - 495*k + 556. Factor -k*s + 2*s**2 + 2/3 - 2/3*s**3.
-2*(s - 1)**3/3
Let d(z) be the first derivative of 3/2*z**3 + 13/8*z**4 - z + 2 - 1/4*z**2 + 1/2*z**5. Suppose d(u) = 0. Calculate u.
-1, 2/5
Suppose -799*y + 572 + 472 = -554. Factor -i + 0*i**y + 0 + 1/4*i**3.
i*(i - 2)*(i + 2)/4
Let w(z) be the second derivative of 9/4*z**2 + 1/2*z**3 + 8 + 4*z - 1/2*z**4 + 1/20*z**6 - 3/20*z**5. Factor w(r).
3*(r - 3)*(r - 1)*(r + 1)**2/2
Let s(w) be the first derivative of w**3/4 + 69*w**2/4 - 141*w/4 + 797. Factor s(y).
3*(y - 1)*(y + 47)/4
Let r(g) = -6*g**2 + 452*g + 373. Let q(i) = -15*i**2 + 1122*i + 933. Let x(l) = 5*q(l) - 12*r(l). Factor x(s).
-3*(s - 63)*(s + 1)
Let g(c) be the second derivative of -c**7/189 - 5*c**6/9 - 602*c**5/45 + 1280*c**4/9 - 6400*c**3/27 - 3876*c. Solve g(q) = 0 for q.
-40, 0, 1, 4
Let m(v) be the first derivative of 17*v - 1/2*v**3 + 10 + 0*v**2 + 3/20*v**5 + 0*v**4. Let g(f) be the first derivative of m(f). Factor g(d).
3*d*(d - 1)*(d + 1)
Let x = 893/401 - 765/1604. Let -1/2 - 61/12*r + x*r**2 = 0. What is r?
-2/21, 3
Let t(f) be the second derivative of -f**5/540 - f**4/54 - 2*f**3/27 + 17*f**2/2 - 72*f. Let c(d) be the first derivative of t(d). Factor c(w).
-(w + 2)**2/9
Factor 0 + 55/3*j**2 + 7/6*j**3 - 16/3*j.
j*(j + 16)*(7*j - 2)/6
Suppose -154*o + 14*o - 45*o = -925. Let t(w) be the first derivative of -3/10*w**4 - 45 + 0*w - 1/25*w**o - 4/5*w**2 - 4/5*w**3. Let t(y) = 0. What is y?
-2, 0
Suppose 1987 = 4*s + 3*w, -4*w + 2364 + 121 = 5*s. Factor -4307 - s - 3*i**2 + 240*i + 0*i**2.
-3*(i - 40)**2
Let u(b) = -b**2 + 410*b + 83296. Let g be u(-149). Factor 0 + 5/2*i**g + 30*i**2 + 45/2*i - 5*i**3 - 10*i**4.
5*i*(i - 3)**2*(i + 1)**2/2
Let d(c) be the third derivative of -21/40*c**4 - 1/560*c**8 - 1/10*c**5 + 3/350*c**7 + 3/100*c**6 - 9/10*c**3 + 61*c**2 + 0 + 0*c. Factor d(q).
-3*(q - 3)**2*(q + 1)**3/5
Suppose 119*u - 71*u = 0. Let o be (-6)/12 + u + 1. Factor o*t**2 + 1 - 3/2*t.
(t - 2)*(t - 1)/2
Let -215903/10*z**2 - 4368*z - 127713/10*z**3 + 1243/10*z**4 - 3/10*z**5 + 21632/5 = 0. What is z?
-1, 1/3, 208
Suppose 25 = 8*i + 1. Suppose -4*l = 5*v - 92, -5 = i*v - 2*l - 69. Find s such that 32*s - 3*s**2 - 2*s**2 - 7*s - v = 0.
1, 4
Let x be 5/(5/2) - (-17 - -16). Determine a so that 11*a - 3*a - a**3 + 2*a**x - 36 + 16*a + 11*a**2 = 0.
-6, 1
Let o be 39/(-78) - (2 - 18/4). Factor -2*u**o + 140*u + 95 - 240*u + 7*u**2.
5*(u - 19)*(u - 1)
Let k(r) be the first derivative of 32*r**5/65 - 244*r**4/13 + 7682*r**3/39 - 1830*r**2/13 + 450*r/13 + 2154. Let k(y) = 0. Calculate y.
1/4, 15
Suppose 3*p + p + 4*s - 20 = 0, 2*p + 4*s - 14 = 0. Suppose -c - p = -8. Solve -3*k**4 + k**3 + 5*k**4 - k**c - k**2 - k**4 = 0.
-1, 0, 1
Let b be 1/2 + ((-30180)/(-24) - 7). Find n such that -n**3 + 1540 - b + 2*n**3 + 142*n + 35*n**2 + 181*n = 0.
-17, -1
Let w(a) = -a**2 + 47*a - 244. Let s be w(6). Solve -141*p**s + 3*p + 28 - 13*p + 139*p**2 = 0.
-7, 2
Let s(b) be the third derivative of 29*b**2 + 0*b**3 + 0 + 7/20*b**5 + 0*b**4 + 1/5*b**6 + 1/70*b**7 + b. Find h such that s(h) = 0.
-7, -1, 0
Let c(d) be the second derivative of d**4/36 - 143*d**3/3 + 61347*d**2/2 - 2*d + 35. What is z in c(z) = 0?
429
Suppose -813*k = r - 821*k + 78, 4*r + 4*k - 48 = 0. Solve r + 1/3*z**2 - 7/3*z = 0 for z.
1, 6
Suppose 160 - 2069*o**2 + 44*o**3 + 3604*o - 8*o**3 + 129 + 311 + 7493*o**2 = 0. Calculate o.
-150, -1/3
Let g(a) be the first derivative of 2*a**3/33 - 588*a**2/11 + 1174*a/11 + 1740. Suppose g(q) = 0. Calculate q.
1, 587
Let y be -5 - (-60)/(3 + -1)