4)/3
Suppose 8*c = 131 - 43. Solve 17*x + c*x - 20*x + x**3 - 9*x**2 = 0.
0, 1, 8
Let x(q) be the first derivative of q**5 + 0*q**3 - 25/4*q**4 + 0*q**2 + 55 + 0*q. Solve x(b) = 0.
0, 5
Let a(z) = 5*z + 461. Let i be a(-27). Let s = i + -1301/4. Factor -s + 1/8*x**2 - 5/8*x.
(x - 6)*(x + 1)/8
Let b(j) be the third derivative of -j**5/540 - 55*j**4/216 + 1261*j**2. Factor b(h).
-h*(h + 55)/9
Let j(q) be the first derivative of 2/39*q**3 - 4 + 12/13*q**2 + 40/13*q. Solve j(l) = 0 for l.
-10, -2
Let f be ((-81)/18)/(11748/(-1184)). Let n = -8/89 + f. Solve -2/11*m**2 - n*m + 0 = 0 for m.
-2, 0
Let d(s) be the third derivative of 0 + 0*s + 0*s**4 - 1/84*s**8 - 26/105*s**7 + 0*s**3 - 11/15*s**5 - 23/30*s**6 + 5*s**2. Determine l so that d(l) = 0.
-11, -1, 0
Let 4408/3 - 4/3*w**2 - 52*w = 0. What is w?
-58, 19
Factor 352/7*j + 4/7*j**2 + 2560/7.
4*(j + 8)*(j + 80)/7
Suppose -j - 1026 = -39*j. Suppose -j + 7 = -10*i. Factor 0 - 2/3*t**2 + 2/3*t**4 + 2*t - i*t**3.
2*t*(t - 3)*(t - 1)*(t + 1)/3
Factor 0 + 11/2*a**2 - 1/2*a**3 + 6*a.
-a*(a - 12)*(a + 1)/2
Factor -3/7*c**2 - 9/7*c**3 + 1/7*c**4 + 25/7*c + 18/7.
(c - 9)*(c - 2)*(c + 1)**2/7
Let g be (-38)/(-10) - (32/(-10) + 3). Find n, given that -36*n**4 - 24*n**2 + 114*n**3 + 30*n**5 - 39*n**g - 18*n**5 = 0.
0, 1/4, 2, 4
Suppose -i = 4*i + 20, 2*c + 4*i - 34 = 0. Let p be 1 + (-5)/(c/(-5)). Suppose 2*t - 5*t + 260*t**p + 0*t + 2 - 280*t**2 = 0. Calculate t.
-2/5, 1/4
Let q(s) = -s**3 + 2*s**2 - 6*s - 41. Let m be q(0). Let v(k) = 4*k + 166. Let j be v(m). Solve 4/3*w**3 + 2/3*w**4 - 8/3*w**j - 16/3*w + 0 = 0.
-2, 0, 2
Let w(m) = -73*m**3 + 205*m**2 - 208*m + 37. Let z(i) = 23*i**3 - 68*i**2 + 69*i - 12. Let d(r) = -4*w(r) - 13*z(r). Factor d(u).
-(u - 8)*(u - 1)*(7*u - 1)
Let h = -244881 + 489763/2. Suppose -3*l + h*l**2 + 9/2 = 0. Calculate l.
3
Suppose 15*n - 19 - 41 = 0. Find o, given that -36*o**n - 1828*o**2 - 256 + 378*o**3 + 1816*o - 88*o + 14*o**4 = 0.
2/11, 1, 8
Let u(v) be the first derivative of v**5/15 + 6*v**4 + 88*v**3 - 3024*v**2 + 21168*v - 1259. Let u(l) = 0. Calculate l.
-42, 6
Let u = 194333/8 + -194305/8. Solve -j**2 + 0 + 19/4*j**3 + 3/4*j**5 - u*j**4 - j = 0 for j.
-1/3, 0, 1, 2
Let m = -781450 + 781452. Solve 5/2*g**m - 95/2 + 45*g = 0 for g.
-19, 1
Let u(w) be the first derivative of -50*w + 35/2*w**2 + 136 - 5/3*w**3. Determine c, given that u(c) = 0.
2, 5
Suppose -2*y + 5 = -5. Suppose -y*j - 16 = -31. Factor 3*i**4 + j*i**4 + 2*i**4 + 4*i**5.
4*i**4*(i + 2)
Factor -q**2 - 1/6*q + 5/6.
-(q + 1)*(6*q - 5)/6
Let k(n) = -5*n + 10 - 1 - n**3 + 4*n**2 - 4. Let u(f) = f**3 - f**2 + 2*f - 2. Let g(p) = 2*k(p) + 5*u(p). Find o, given that g(o) = 0.
-1, 0
Let p(l) be the third derivative of 0 - 1/36*l**6 - 69*l**2 + 0*l + 17/36*l**4 - 10/9*l**3 - 1/30*l**5 + 1/315*l**7. Let p(d) = 0. What is d?
-2, 1, 5
Let q(b) = -b**2 + 13*b + 1. Let o be q(13). Let j(p) = 3*p + 1. Let l be j(o). Factor l*k - 3*k**2 + 0*k**2 + 2*k**2 + 3*k**2.
2*k*(k + 2)
Let k(o) be the third derivative of -o**5/20 + 995*o**4/8 + 498*o**3 + 11692*o**2. Factor k(w).
-3*(w - 996)*(w + 1)
Let f(o) be the first derivative of 0*o + 78 + 0*o**4 + 3/5*o**5 - 1/2*o**6 + 0*o**2 + 0*o**3. Factor f(v).
-3*v**4*(v - 1)
Determine t so that 2*t**4 + 5*t**5 + 3*t**4 - 10*t**3 - 13084*t + 13084*t = 0.
-2, 0, 1
Let i(q) be the first derivative of -9*q**4 - 56*q**3 + 59*q**2/2 - 5*q + 1244. Let i(m) = 0. What is m?
-5, 1/6
Let m(s) = -2*s**3 + 9*s**2 + 17*s + 13. Let x be m(6). Let -3*q**2 + 21*q + 15*q**4 - 3*q + 1 - 6 - 21*q**3 - x + 6*q - 3*q**5 = 0. What is q?
-1, 1, 2
Factor 3132*d + 4*d**3 - 3364 + 340*d**2 + 237*d**2 - 349*d**2.
4*(d - 1)*(d + 29)**2
Let p be (-16)/(-6) - (-4)/(-2). Suppose -244*z - 61 = -280 - 455 - 58. Factor -2/3 + p*s**2 - 2/3*s + 2/3*s**z.
2*(s - 1)*(s + 1)**2/3
Let t = 182 + -180. Factor g**4 + g**5 + 4*g**3 - 2*g**5 + 45*g**2 - 43*g**t - 3*g - 3*g**4.
-g*(g - 1)**2*(g + 1)*(g + 3)
Let f = -331869 - -331871. Factor -28/17*p**f - 192/17 - 128/17*p - 2/17*p**3.
-2*(p + 4)**2*(p + 6)/17
Let g(a) = a**2 - 292*a - 19485. Let n be g(348). Let -1/9*b**n - 55/9*b + 121/3 - 19/9*b**2 = 0. Calculate b.
-11, 3
Let v be (16/60)/((464/(-120) - -8) + -4). Suppose -3/5*m**v + 9/5 + 6/5*m = 0. What is m?
-1, 3
Let v(u) = -u**2 - u + 1. Let g = 570 + -564. Let l(w) = -8*w**2 + 44*w - 42. Let x(d) = g*v(d) - l(d). Factor x(y).
2*(y - 24)*(y - 1)
Let z be (1536/(-21)*(-14)/(-10))/(12/(-20)). Factor 28/3*c**3 + 440/3*c**2 + 1664/3*c - z.
4*(c + 8)**2*(7*c - 2)/3
Suppose -1/5*j**2 + 0 + 4*j - 1/5*j**3 = 0. What is j?
-5, 0, 4
Let j(s) be the third derivative of 0*s**4 + 5*s + 0*s**3 + 0 + s**6 - 1/3*s**5 + 11*s**2 + 25/336*s**8 - 1/2*s**7. Factor j(x).
5*x**2*(x - 2)**2*(5*x - 1)
Suppose 0 = -5*m + 4*o + 100, -224*m + 6*o + 108 = -227*m. Find n such that -16/3*n + 16/3*n**3 + 10*n**2 - 32/3 + 2/3*n**m = 0.
-4, -1, 1
Let r(t) = -4*t - 27. Let k be r(-7). Let g be (-1)/((3/(-9))/k). Find d, given that -20 - 5*d**g - 25*d**2 + d**3 - 40*d - d**3 = 0.
-2, -1
Let k(f) be the second derivative of -1/36*f**4 - 1/126*f**7 + 0*f**3 + 1/60*f**5 - 69*f + 0*f**2 + 0 + 1/90*f**6. Let k(q) = 0. What is q?
-1, 0, 1
Let q = -2634442/3 + 878149. What is b in 1/3*b**5 - 1/3*b**4 - 5/3*b**3 - 4/3 + q*b**2 + 4/3*b = 0?
-2, -1, 1, 2
Let l(s) be the third derivative of -169*s**7/630 + 26*s**6/45 - 8*s**5/15 - s**4/8 - s**3/3 - 70*s**2. Let f(a) be the second derivative of l(a). Factor f(k).
-4*(13*k - 4)**2
Find b, given that 2/11*b**2 - 192 - 698/11*b = 0.
-3, 352
Let p(a) be the first derivative of 2*a**2 + 65*a + 130. Let d be p(-15). What is n in 27/8*n + 21/4*n**3 + 3/4 + 6*n**2 + 9/4*n**4 + 3/8*n**d = 0?
-2, -1
What is s in -20/7*s**2 - 97/7*s - 30/7 + 3/7*s**3 = 0?
-3, -1/3, 10
Suppose 2*n = 0, 14*k + 120 = 19*k + 2*n. Suppose -45*p**2 + k*p**3 - 36 + 12*p**4 + 108*p + 23*p**2 - 82*p**2 - 4*p**5 = 0. Calculate p.
-3, 1, 3
Let t(b) be the first derivative of b**5/140 + b**4/42 - b**3/14 + 38*b + 166. Let n(a) be the first derivative of t(a). Suppose n(w) = 0. What is w?
-3, 0, 1
Let g(m) be the third derivative of 2*m**7/105 - m**6/15 - 32*m**5/15 - 5*m**4 + 42*m**3 + 297*m**2 + 1. Factor g(b).
4*(b - 7)*(b - 1)*(b + 3)**2
Suppose 22*v - 17*v - 15 = 0. Suppose -3*w - 10 = -2*c - v*c, -15 = -c - 2*w. Factor -44*o**3 - 4*o + c*o**2 + 48*o**3 + 7*o**2 - 12.
4*(o - 1)*(o + 1)*(o + 3)
Suppose g - 6 = -2*g, 934 = -2*j + 3*g. Let d be ((-3)/(-12))/((-4)/j). Factor 5*s**4 + 1 + 34*s**2 - d*s**2 - 11 - 15*s + 15*s**3.
5*(s - 1)*(s + 1)**2*(s + 2)
Let h(k) be the third derivative of k**6/360 - 2*k**5/15 - 3*k**4/8 + 25*k**3/9 + 49*k**2 + 2*k. Factor h(j).
(j - 25)*(j - 1)*(j + 2)/3
Suppose 3*q = -z + 15, -z + 4*q - 14 = -15. Let v be (-30)/(-176) - (z - 675/72). Determine d so that -18/11 - 12/11*d + v*d**2 = 0.
-1, 3
Let i(k) be the first derivative of -1/12*k**4 + 0*k**2 + 1/720*k**6 + 0*k - 20/3*k**3 + 0*k**5 + 14. Let p(u) be the third derivative of i(u). Factor p(b).
(b - 2)*(b + 2)/2
Let u(c) be the second derivative of 2*c**7/105 - c**6/5 + 4*c**5/5 - 5*c**4/3 + 2*c**3 + 99*c**2 - 59*c. Let v(y) be the first derivative of u(y). Factor v(f).
4*(f - 3)*(f - 1)**3
Let q(z) be the second derivative of z**6/6 - 3*z**5/2 - 35*z**4/12 - 2*z + 370. Solve q(u) = 0 for u.
-1, 0, 7
Suppose -45 + 1/2*y**4 - 19/2*y**2 + 3/2*y**3 - 87/2*y = 0. Calculate y.
-3, -2, 5
Let p(i) be the second derivative of i**7/126 - 2*i**6/45 + i**5/60 + 7*i**4/18 - 10*i**3/9 + 4*i**2/3 - 1218*i. Determine r so that p(r) = 0.
-2, 1, 2
Let 96*m + m**2 + 64*m - 588 + 144 + 3*m**2 - 8*m**2 = 0. What is m?
3, 37
Let r(k) = k**3 - 10*k**2 + 11*k - 13. Let a be r(9). Suppose 3*y + 4*i - 589 = -0*i, a*y + 4*i - 971 = 0. Suppose -95 - 96 - 3*j + y + 3*j**3 = 0. Calculate j.
-1, 0, 1
Suppose 3*v - 114 = -3*b - 0*b, 0 = -b - 4*v + 29. Let i = -33 + b. Let -79*r + 59*r**2 - 9*r + 183*r**2 + i = 0. What is r?
2/11
Suppose -1154*m = -1144*m. Let c be ((-153)/78 + 2)/(1/76). Factor m + 42/13*k**2 - c*k**3 - 4/13*k.
-2*k*(k - 1)*(19*k - 2)/13
Let z = 756581/4 - 189145. Factor 1 + 15/4*f + 0*f**4 - z*f**5 + 5/2*f**3 + 5*f**2.
-(f - 4)*(f + 1)**4/4
Factor 98*s**3 - 197 + 60 - 92*s**2 + 65 - 192*s - 2*s**4 + 72.
-2*s*(s - 48)*(s - 2)*(s + 1)
Let o be -4 - (177/(-25) - 10*17/(-2125)). Let f