311*a - 246. Let z(b) = -28*b**2 - 1330*b - 248. Let k(q) = 5*p(q) - 6*z(q). Solve k(o) = 0.
-43, -2/11
Let u = 862046 - 862046. Suppose -2/5*p**3 + 24*p - 56/5*p**2 + u = 0. What is p?
-30, 0, 2
Factor -12*b**2 - 2304 + 1/6*b**3 + 288*b.
(b - 24)**3/6
Suppose 102/23*r + 8/23*r**2 - 108/23 - 2/23*r**3 = 0. Calculate r.
-6, 1, 9
Factor 4/5*s**2 + 272/5*s - 852/5.
4*(s - 3)*(s + 71)/5
Let b(j) = 3*j**4 - 41*j**3 - 1505*j**2 - 6919*j - 10361. Let n(g) = g**4 - 27*g**3 - 753*g**2 - 3459*g - 5181. Let w(c) = 6*b(c) - 14*n(c). Factor w(u).
4*(u + 3)*(u + 6)*(u + 12)**2
Let p be (189/(-90)*-5)/(2 + 50/8). Let z(i) be the first derivative of -6/11*i**2 + 2/33*i**3 - p*i + 15. Let z(w) = 0. Calculate w.
-1, 7
Let o(w) be the third derivative of 12*w**7/245 - 143*w**6/70 + 47*w**5/15 + 365*w**4/42 + 46*w**3/7 + 4*w**2 + 235*w. Solve o(a) = 0.
-1/3, 3/2, 23
Let s(x) = 7*x**2 - 19*x - 231. Let t be s(-15). Let y = t + -1629. Factor 3/8*a**4 + 0 - 1/4*a**3 + 0*a**2 + y*a - 1/8*a**5.
-a**3*(a - 2)*(a - 1)/8
Let n(v) be the third derivative of v**8/840 + 5*v**7/7 + 1587*v**6/10 + 71217*v**5/5 + 771579*v**4/4 + 5582601*v**3/5 - 3808*v**2. Factor n(j).
2*(j + 3)**2*(j + 123)**3/5
Let o be (-3)/(18/8)*2838/(-220). Let a = -82/5 + o. Suppose 12/5*t - 8/5 - a*t**2 = 0. What is t?
1, 2
What is s in 12*s**2 + 72*s + 2/3*s**3 + 144 = 0?
-6
Let w = -200 - -209. Suppose -35*z = -32*z - w. What is h in 1 - 2*h**z - 3/2*h + 7/2*h**5 - 7*h**2 + 6*h**4 = 0?
-1, 2/7, 1
Let r be 1 + (-4)/20 + 22/10. Factor -112*h**2 - 28 + 138*h - 13*h - 2*h**5 - 4*h**4 - 31*h + 52*h**r.
-2*(h - 2)*(h - 1)**3*(h + 7)
Suppose -4*p**3 - 2*p + 176406*p**2 + 184 - 176502*p**2 - 82*p = 0. What is p?
-23, -2, 1
Solve -33*p + 2719*p**3 - 5*p**4 + 2726*p**3 - 75*p**2 - 12*p - 5480*p**3 = 0 for p.
-3, -1, 0
Let v = 397312 + -397310. Solve -1/3*r**2 + v*r + 16/3 = 0 for r.
-2, 8
Let r(d) be the first derivative of -d**4/26 + 8*d**3/39 - 3*d**2/13 - 2053. Solve r(x) = 0.
0, 1, 3
Let l be (-9 + 30 - 20) + -1. Let v(r) be the second derivative of -3/20*r**5 + l + 3*r**4 - 18*r**3 + 0*r**2 - 45*r. Solve v(c) = 0 for c.
0, 6
Let j be 34/(-289) + (-392)/(-2176). Let d(i) be the first derivative of 0*i**2 - 9 + 0*i + j*i**4 + 0*i**3 + 0*i**5 - 1/24*i**6. Factor d(v).
-v**3*(v - 1)*(v + 1)/4
Let k = 175 - 168. Solve -2*n**3 + 3607*n + 9 - 3595*n - 6*n**2 + k = 0 for n.
-4, -1, 2
Let l be 55/22 - 11/198*-9. Solve 2/5*a + 2/5*a**2 - 2/5 - 2/5*a**l = 0 for a.
-1, 1
Factor 41*m - 1936 + 131*m**2 + 107*m**2 - 239*m**2 + 47*m.
-(m - 44)**2
Let b be (-8)/(-10)*(-725)/(-10). Suppose b*p = 29*p. Suppose 0*n + p - 2/5*n**2 + 1/5*n**3 = 0. What is n?
0, 2
Let i = -3053 + 137387/45. Let z(g) be the second derivative of 0*g**2 + 0 + i*g**3 + 2*g + 1/90*g**4. Factor z(y).
2*y*(y + 2)/15
Let i(c) be the second derivative of c**5/30 + 43*c**4/72 + 61*c**3/36 - 3*c**2/2 + 2*c + 3458. Solve i(q) = 0.
-9, -2, 1/4
Suppose 164 = 10*d - 6*d. Suppose -4*u + 0*h + d = 5*h, -u + h - 1 = 0. Determine v so that -26*v**2 + 63*v**u - 65*v**4 + 33*v**3 - 13*v**3 - 120*v - 72 = 0.
-1, 6
Determine m so that -2/3 - 2/3*m**5 + 10/3*m**3 - 8/3*m + 5/6*m**2 - 1/6*m**4 = 0.
-2, -1, -1/4, 1, 2
Let p(g) = -3*g**2 + 422*g + 441. Let s(o) = 4*o**2 - 421*o - 449. Let v(i) = 3*p(i) + 2*s(i). Factor v(h).
-(h - 425)*(h + 1)
Solve -3/5*i**2 - 276/5*i - 2016/5 = 0.
-84, -8
Factor 6/5*l**2 + 56/5 + 2/5*l**3 - 48/5*l.
2*(l - 2)**2*(l + 7)/5
Let x(g) be the first derivative of g**5 + 1615*g**4/4 - 1625*g**3/3 - 1615*g**2/2 + 1620*g + 11871. Find u such that x(u) = 0.
-324, -1, 1
What is h in 4/5*h**3 + 292/5*h**2 + 1336/5*h - 1632/5 = 0?
-68, -6, 1
Suppose -2*n = 2, -f + 3*n = -0 - 3. Let b(j) = 63*j**2 + 7818*j + 747. Let i be b(-124). Find k such that 9/5*k**2 + 3/5*k**4 + f*k - 12/5*k**i + 0 = 0.
0, 1, 3
Let p = 14269 + -14269. Let t(d) be the second derivative of -50*d**2 + 3*d**4 + 1/5*d**5 + 10*d**3 - 29*d + p. Factor t(b).
4*(b - 1)*(b + 5)**2
Let a = 1181/711 - -4/711. Let p(h) be the second derivative of 1/30*h**6 + 3/2*h**2 - a*h**3 + 0 - h + h**4 - 3/10*h**5. Factor p(g).
(g - 3)*(g - 1)**3
Let t(v) be the third derivative of -v**7/45 - 16*v**6/45 - 19*v**5/15 + 40*v**4/9 + 25*v**3/9 + 2*v**2 - 2*v - 2542. Let t(b) = 0. Calculate b.
-5, -1/7, 1
Let m(s) be the first derivative of -2*s**3/33 + 408*s**2/11 - 83232*s/11 - 1587. Find n, given that m(n) = 0.
204
Let w(u) be the third derivative of u**6/120 + 11*u**5/60 - 7*u**4/12 - 4*u**3 + 116*u**2. Solve w(b) = 0.
-12, -1, 2
Suppose -4*x = 61*d - 59*d + 546, 0 = d + 5*x + 285. Let s = 1857/7 + d. Factor s*v**3 - 18/7 + 30/7*v - 2*v**2.
2*(v - 3)**2*(v - 1)/7
Let g(w) = -65*w**4 + 795*w**3 - 230*w**2 + 5*w. Let r(p) = -98*p**4 + 1192*p**3 - 344*p**2 + 7*p. Let y(d) = 7*g(d) - 5*r(d). Let y(h) = 0. What is h?
0, 2/7, 11
Let d(c) be the third derivative of c**5/20 + 333*c**4/4 - 667*c**3/2 + 3038*c**2. Factor d(r).
3*(r - 1)*(r + 667)
Find v such that -352/3*v**5 + 350668/3*v**2 - 78280/3*v - 526582/3*v**3 + 5776/3 + 26992/3*v**4 = 0.
2/11, 1/4, 38
Let k be (-8016)/(-668)*(53/(-32) - -2)/((-6)/(-12)). Let -3/2 - k*o + 9/2*o**2 = 0. What is o?
-1/6, 2
Factor 49838*t**3 + t**4 - 128*t - 49920*t**3 - 8*t**4 + 472*t**2.
-t*(t - 4)*(t + 16)*(7*t - 2)
Factor 38*u**3 - 102*u**4 - 166*u**3 - 132*u**2 + 106*u**4.
4*u**2*(u - 33)*(u + 1)
Let m = 2522 - 2518. Let u(o) be the first derivative of -4/21*o**3 + 1/14*o**m + 4 + 4/7*o - 1/7*o**2. Suppose u(d) = 0. Calculate d.
-1, 1, 2
Let b(x) be the second derivative of -1/2*x**4 + 0 + 2/3*x**3 + 21*x + 0*x**2. Factor b(t).
-2*t*(3*t - 2)
Let p(m) = 192*m**2 + 3546*m - 3398. Let w(v) = -17*v**2 - 322*v + 309. Let i(h) = 6*p(h) + 68*w(h). Factor i(f).
-4*(f - 1)*(f + 156)
Let h(s) be the third derivative of 13*s**5/90 - 20*s**4/27 + 4*s**3/27 - 2*s**2 + 13*s. Suppose h(f) = 0. Calculate f.
2/39, 2
Let h(g) be the first derivative of 425*g**4/2 + 1135*g**3 + 10*g**2 + 846. Solve h(y) = 0 for y.
-4, -1/170, 0
Find p such that 12*p**4 - 157*p**4 - 382*p**2 - 225*p**2 + 3925*p**3 + 337*p**2 = 0.
0, 2/29, 27
Suppose d = 28*d - 1431. Factor -5*c**3 - 13*c + 42*c**2 + 2 - d*c**2 + 27*c**2.
-(c - 2)*(c - 1)*(5*c - 1)
Let -5*r**3 - 30*r**2 - 15*r + 9762 - 9762 - 30*r = 0. What is r?
-3, 0
Let r(o) be the first derivative of o**6/360 + o**5/45 + 5*o**4/72 + o**3/9 + 6*o**2 - 2*o + 28. Let z(b) be the second derivative of r(b). Factor z(d).
(d + 1)**2*(d + 2)/3
Let j(u) be the third derivative of -u**6/160 + 623*u**5/40 - 388129*u**4/32 + 4*u**2 - 510. Factor j(y).
-3*y*(y - 623)**2/4
Let x(z) = -z**2 - z - 9. Let v(c) = -77*c**2 + 4072*c - 51040. Let j(k) = -5*v(k) - 20*x(k). Let j(i) = 0. Calculate i.
226/9
Let z(f) be the first derivative of 3*f**5/80 - f**4/8 - f**3/8 + 3*f**2/4 - 82*f + 11. Let s(a) be the first derivative of z(a). Factor s(w).
3*(w - 2)*(w - 1)*(w + 1)/4
Let p(r) be the first derivative of 144*r**2 - 44*r**3 - 3*r**4 - 257 + 3/5*r**5 + 1728*r. Find u, given that p(u) = 0.
-4, 6
Let o be (11/(-396))/(9/(-405)). Let i(k) be the first derivative of 5/12*k**3 - 10*k - o*k**2 + 50. Factor i(j).
5*(j - 4)*(j + 2)/4
Suppose -1/5*r**2 + 0 + 624/5*r = 0. What is r?
0, 624
Let p(a) be the first derivative of a**6/300 + a**5/150 + a**2/2 + 4*a + 41. Let y(s) be the second derivative of p(s). Find l, given that y(l) = 0.
-1, 0
Suppose 0 = 50*b - 74 - 76. Factor 0 + 3*f**4 - f**3 + 2 + 0*f**4 + 5*f - 4*f**4 + b*f**2.
-(f - 2)*(f + 1)**3
Let w = -417404 - -417414. Find x such that -50*x - 1/2*x**3 + 0 + w*x**2 = 0.
0, 10
Let o(k) be the third derivative of -56*k**2 + 0 - 1/840*k**6 + 0*k + 0*k**7 + 0*k**3 + 1/2352*k**8 + 0*k**5 + 0*k**4. Factor o(t).
t**3*(t - 1)*(t + 1)/7
Let s be (6/4)/(9/18). What is p in 4 + 4*p**4 + 18*p**3 + 2*p**5 - 8*p**2 + 23*p**3 + 2*p - 45*p**s = 0?
-2, -1, 1
Let a = 6799939/5 - 1359973. Factor -a*y + 2/5*y**4 + 18/5*y**3 + 48/5 + 6/5*y**2.
2*(y - 1)**2*(y + 3)*(y + 8)/5
Let k be (-75)/10 - 3/(-6). Let n be 4/((-8)/(-10)) + 14/k. Find z such that 0*z**2 + 0 + 0*z - 3/4*z**4 + 3/4*z**n = 0.
0, 1
Let i(f) be the second derivative of -1/70*f**7 + 26/25*f**6 + 5346/5*f**3 - 519/20*f**5 + 8748/5*f**2 + 0 + 85*f + 1971/10*f**4. Factor i(a).
-3*(a - 18)**3*(a + 1)**2/5
Let l(b) be the third derivative of b**6/3060 + b**5/204 + 275*b**3/6 - 59