l**2 + 12/5*l**4 - 9/5*l**5 + 2/5*l**3 - 1/5*l = 0?
-1/3, 0, 1
Determine t, given that 110*t - 37*t**2 - 44038*t**3 + 44033*t**3 + 19*t**2 + 480 - 57*t**2 = 0.
-16, -2, 3
Suppose -5*m - 58 + 56 = 2*a, -m - 16 = 3*a. Factor -5/3*z**3 + 0 + 3*z + 4*z**m.
-z*(z - 3)*(5*z + 3)/3
Let y be 75/9 + -2 - (188 + -182). Let b(n) be the third derivative of -1/30*n**6 + 0*n - 4/3*n**4 - 6*n**2 - 8/3*n**3 - y*n**5 + 0. Let b(s) = 0. Calculate s.
-2, -1
Let v(m) = -2*m + 1. Let y(u) = -150*u - 414 - 36*u - 1667 - 436 - 3*u**2. Let h(g) = -6*v(g) + y(g). Solve h(f) = 0 for f.
-29
Determine n so that -146 - 159 + 3*n**4 + 645*n + 5 + 2600*n**3 - 2561*n**3 - 387*n**2 = 0.
-20, 1, 5
Let o = 428556 - 2999625/7. Factor -3*k**2 + 78/7 - o*k.
-3*(k + 13)*(7*k - 2)/7
Let s = 33348/5 - 6669. Suppose -t + 0*n - 8 = -2*n, 8 = 4*t + 2*n. Factor 0*v + 3*v**3 - 6/5*v**2 + s*v**5 - 12/5*v**4 + t.
3*v**2*(v - 2)*(v - 1)**2/5
Let n(z) be the third derivative of -z**6/45 + z**5/6 - z**4/3 + 29*z**3/3 - 80*z**2. Let p(a) be the first derivative of n(a). Let p(c) = 0. Calculate c.
1/2, 2
Find c, given that -1/3*c**5 - 2766760/3*c**3 - 382748044880/3*c - 2630/3*c**4 - 40265094321376/3 - 1455315760/3*c**2 = 0.
-526
Let r(j) = -3*j**2 - 24*j + 27. Let v(z) = -3*z**2 - 23*z + 26. Let n = -206 + 211. Let u(g) = n*r(g) - 6*v(g). Let u(f) = 0. Calculate f.
-7, 1
Find u such that 148996 - 494*u + 16*u**2 + 9*u - 2183*u - 526*u + 106*u = 0.
193/2
What is j in 1/8*j**3 + 87/8*j + 63/8 + 25/8*j**2 = 0?
-21, -3, -1
Let x(y) be the second derivative of -2*y**7/21 - 14*y**6/5 - 146*y**5/5 - 376*y**4/3 - 64*y**3 + 1280*y**2 - 8406*y. Let x(m) = 0. Calculate m.
-10, -4, 1
Let u(b) be the second derivative of -1/10*b**5 + b**2 - 1/8*b**4 + 0 + 1/3*b**3 - 1/60*b**6 + 65*b. Solve u(i) = 0.
-2, -1, 1
Let h(b) = -9403*b**3 + 10523*b**2 + 2585*b + 164. Let r(x) = 9402*x**3 - 10522*x**2 - 2586*x - 168. Let v(k) = -6*h(k) - 5*r(k). Factor v(z).
4*(3*z - 4)*(28*z + 3)**2
Let y = -152294 - -1979834/13. Factor 10/13*x + y - 2/13*x**2.
-2*(x - 6)*(x + 1)/13
Let r = 1867046290 - 29844734932872/15985. Let o = r - -2/3197. Let -o*f - 3/5 - 1/5*f**2 = 0. What is f?
-3, -1
Suppose 2*a + n - 2 = 3*a, 2*a + 4*n = 20. Suppose 0 = a*i - 6. Determine l, given that 202*l**i + l**4 + 2*l**4 + 3 - 190*l**3 + 12*l + 18*l**2 = 0.
-1
Let d(j) be the third derivative of -4/75*j**5 + 2/15*j**4 + 2*j**2 + 1/420*j**8 + 0*j - 1/50*j**6 + 0*j**3 + 4/525*j**7 - 8. Find v, given that d(v) = 0.
-2, 0, 1
Let o = 120847/483412 - -3/241706. Factor 15*q**2 - 125/4 - 25/2*q + o*q**4 - 7/2*q**3.
(q - 5)**3*(q + 1)/4
Let o(u) = -u**3 - u**2 - u. Suppose -2*f + 4*d = -16, f + 6 + 1 = -3*d. Let v(x) = -10*x**2 - 8*x + 24. Let l(k) = f*o(k) + v(k). Let l(z) = 0. Calculate z.
-4, -3, 1
Suppose -12 = -3*d - 3. Factor -29*i**4 - 20 + 12*i**2 + 16*i**d + 11 - 23 - 40*i + 25*i**4.
-4*(i - 4)*(i - 2)*(i + 1)**2
Suppose 15*a - 15*a**2 - 4*a**2 + 8*a**2 + 27*a**2 - 13*a**2 = 0. What is a?
-5, 0
Let d(c) be the third derivative of c**6/600 - 37*c**5/300 + 57*c**4/20 + 126*c**2 + 14*c. Solve d(x) = 0 for x.
0, 18, 19
Let p be -3 - (3 - (3 - -8)). Let l(g) = -2*g**2 + 11*g - 3. Let a be l(p). Suppose -22/5*s + 152/5*s**a - 4/5 = 0. Calculate s.
-2/19, 1/4
Let q be (-3)/(-5) - -16*(-88)/(-21120). Solve 8/3 - 2/3*x**4 + 6*x**2 + q*x**3 + 22/3*x = 0 for x.
-1, 4
Suppose -795*o - 2638 = -2114*o. Factor 15*x**o + 29/6 + 44/3*x + 1/6*x**4 + 16/3*x**3.
(x + 1)**3*(x + 29)/6
Let a(v) be the second derivative of 4 + v**4 + 0*v**2 + 4*v - 2*v**3 - 3/20*v**5. Factor a(c).
-3*c*(c - 2)**2
Suppose 0 + 406*t**2 + 196*t + 29/2*t**4 + 897/4*t**3 + 1/4*t**5 = 0. Calculate t.
-28, -1, 0
Suppose -g = 2*g + 9, -4*o - 4*g - 4 = 0. Factor 1000 - 669*i**o - 3300*i - 10*i**3 - 25*i**3 - 107*i**2 + 86*i**2.
-5*(i + 10)**2*(7*i - 2)
Let s(t) be the first derivative of -t**6/15 + 4*t**5/5 - t**4 - 8*t**3/3 + 7*t**2 - 299*t + 240. Let z(a) be the first derivative of s(a). Factor z(v).
-2*(v - 7)*(v - 1)**2*(v + 1)
Let -19*q**2 + 1/8*q**3 + 722*q + 0 = 0. Calculate q.
0, 76
Let q be -18 + 2/(-63)*-843 + -8. Factor -q*n + 0 - 2/21*n**2.
-2*n*(n + 8)/21
Let o = -56 - -60. Let u be 2/(-3) - (-47)/3. Factor 15*d - 30*d**4 + 25*d**o - u*d**3 - 2*d**2 + 7*d**2.
-5*d*(d - 1)*(d + 1)*(d + 3)
Let l(j) = -19*j - 155. Let b be l(-9). Suppose 4*d + 4 = -4*h, 4*h - b = -4*d + 5*h. Factor -2*s**2 + 0 - 2/3*s**d + 0*s.
-2*s**2*(s + 3)/3
Factor -16*h**2 + 368/5*h - 384/5 - 4/5*h**3.
-4*(h - 2)**2*(h + 24)/5
Suppose -2*r + 5*p = -r - 95, -3*r = -5*p - 275. Let j = r + -86. Solve 19*l**j - 3*l**2 - 32*l**4 - 29*l**2 + 14*l**3 + 24*l + 11*l**4 = 0.
0, 2, 3
Let r be (-4)/9*(28 + -37). Let h(l) be the second derivative of 8*l - 1/6*l**6 + 0 + 1/6*l**7 - 9/20*l**5 + 1/3*l**3 + 0*l**2 + 5/12*l**r. Factor h(k).
k*(k - 1)**2*(k + 1)*(7*k + 2)
Let 264 - 6*r**3 - 9*r**2 + 80*r**2 + 392*r + 4*r**3 + 0*r**3 + 55*r**2 = 0. What is r?
-2, -1, 66
Suppose 83/8*d**2 - 12 + 65/2*d + 3/8*d**3 = 0. What is d?
-24, -4, 1/3
Let f(c) = -85*c**3 - 9225*c**2 - 109020*c - 99040. Let b(p) = 5*p**3 + 544*p**2 + 6413*p + 5826. Let k(g) = 35*b(g) + 2*f(g). Find s such that k(s) = 0.
-106, -11, -1
Solve 88/7*y**3 - 2/7*y**4 - 4608/7*y - 768/7*y**2 + 0 = 0.
-4, 0, 24
Let s be ((-1)/(-14))/((-5766)/(-217)). Let r = 559/372 - s. Factor 9/2*v**2 - 6 - 6*v + r*v**4 + 6*v**3.
3*(v - 1)*(v + 1)*(v + 2)**2/2
Let q(u) be the first derivative of -3*u**4 + 0*u - 52/3*u**3 + 20*u**2 - 267. Factor q(h).
-4*h*(h + 5)*(3*h - 2)
Let p(v) = -v**3 + 13*v**2 - 9*v + 15. Let y be p(10). Let w be 90/y + (-8)/(-5). Factor 4/9 + 0*t**w - 2/9*t**3 + 2/3*t.
-2*(t - 2)*(t + 1)**2/9
Suppose -226*g**4 - 2*g + 266*g**4 + 2*g + 44*g**3 + 0*g - 4*g**5 = 0. What is g?
-1, 0, 11
Suppose 50 = 5*o + 3*z - 68, -o + 3*z = -38. Suppose -a = -o - 19. Factor a - 330*u**2 + 27*u - 7*u - 5 + 315*u**3.
5*(3*u - 2)**2*(7*u + 2)
Find n, given that -228*n + 168*n**3 - 108 - 74*n**3 - 23*n**3 - 19*n**3 - 68*n**2 = 0.
-1, -9/13, 3
Let d(m) be the first derivative of -m**4/4 + 29*m**3/3 - 103*m**2/2 + 75*m + 31. Factor d(v).
-(v - 25)*(v - 3)*(v - 1)
Let a(o) = o**3 + 5*o**2 - 2*o - 2. Let n be a(-3). Factor -n + 7*w**3 + 19*w**2 + 5*w**3 + 7 - 4*w**2 - 12*w.
3*(w - 1)*(w + 1)*(4*w + 5)
Let h(a) = -4*a**3 + 152*a**2 - 2098*a + 8406. Let i(k) = -4*k**3 + 154*k**2 - 2095*k + 8405. Let s(g) = -5*h(g) + 6*i(g). Factor s(q).
-4*(q - 21)*(q - 10)**2
Let z(m) = 1426*m - 1426. Let c(j) = j**2 + 2848*j - 2849. Let f(t) = 2*c(t) - 5*z(t). Solve f(o) = 0 for o.
1, 716
Find v such that -55*v**4 - 7544*v + 7544*v + 5*v**5 - 105*v**2 + 155*v**3 = 0.
0, 1, 3, 7
Let p(h) be the second derivative of 81*h + 37/6*h**4 + 20*h**3 + 0 + h**5 + 36*h**2 + 1/15*h**6. Solve p(o) = 0 for o.
-3, -2
Let u = -40481/5 + 8067. Let h = u - -148/5. Factor h*r**2 - r + 2/5.
(r - 2)*(2*r - 1)/5
Let w be (-2)/(-160)*(-10 + (-189)/(-18)). Let a(f) be the second derivative of 0 - w*f**5 + 1/16*f**2 + 3*f - 1/16*f**3 + 1/32*f**4. Factor a(u).
-(u - 1)**3/8
Let k(v) = v**3 - 27*v**2 - v + 29. Let h be k(27). Factor 25*c**3 - 78*c**h + 2*c**5 + 93*c**2 - 7*c**5 + 5*c**4.
-5*c**2*(c - 3)*(c + 1)**2
Factor 639892 + 2830877 + 1180*x + x**2 + 2546*x.
(x + 1863)**2
Let k(b) be the first derivative of b**4/4 - 97*b**3/3 - b**2/2 + 97*b + 6. Let k(x) = 0. Calculate x.
-1, 1, 97
Let q be (2/(-24))/((-8)/448*7). Factor 14/3*n**2 + 0 - q*n.
2*n*(7*n - 1)/3
Suppose h - 340 = 2*n, -2*h + 1712 = 3*h + 2*n. Let d be (228/h)/(5/9). Find u such that 6/5*u**2 - 16/5*u**3 - 8/5 + 24/5*u - d*u**4 = 0.
-2, 1/3, 1
Let i(u) be the third derivative of u**6/480 - u**5/30 - u**4/8 + 6*u**3 + 2*u**2 - 462*u. Factor i(h).
(h - 6)**2*(h + 4)/4
Let a(v) be the third derivative of -v**7/42 - 31*v**6/24 - 12*v**5 + 675*v**4/2 - 8*v**2 - 371. Factor a(c).
-5*c*(c - 5)*(c + 18)**2
Suppose -20 + 8 = -4*s. Suppose -4 = s*a + 5*j, -a + 6*a - 5*j - 20 = 0. Factor -1/2*n**4 - 1/4*n**5 + 0 + 3/4*n**3 + n**a - n.
-n*(n - 1)**2*(n + 2)**2/4
Let -41818*h**3 + 34576*h**2 + 604*h**4 + 2241*h + 1078*h**4 + 192 + 3127*h = 0. What is h?
-2/29, 1, 24
Let t be (-24)/54*69/(-92). Let k be 6/(-9)*2/(-4). Factor t*i**3 - k*i + 1/3 - 1/3*i**2.
(i - 1)**2*(i + 1)/3
Let r = 5171/28944 - -7/1072. Let p(f) be the first derivative of 1/12*f**4 + r*f**3 - 4/9*f - 1/45*