ird derivative of d**8/840 - 23*d**7/525 - 17*d**6/50 - 79*d**5/75 - 107*d**4/60 - 9*d**3/5 + 1021*d**2. Factor w(u).
2*(u - 27)*(u + 1)**4/5
Let g be 5/(-2)*(-11)/((-880)/(-128)). Let o(f) be the second derivative of 0 - 1/2*f**2 - 1/12*f**g + 1/3*f**3 + 10*f. Suppose o(r) = 0. Calculate r.
1
Find z, given that -117/5*z - 1/5*z**4 - 27/5*z**3 - 97/5*z**2 - 46/5 = 0.
-23, -2, -1
Let v(o) be the second derivative of 11*o**4/120 - 7*o**3/15 - 72*o**2/5 + o - 1912. Factor v(f).
(f + 4)*(11*f - 72)/10
Let z = -116970 + 116973. Factor 1/2*g**2 - 1/6*g**z + 1/6 - 1/2*g.
-(g - 1)**3/6
Let x = -868 - -876. Suppose 0 = -5*g + 3*k + 6, 2*k - 6*k - x = -g. Solve 3/4*z - 1/8*z**3 + 1/8*z**2 + g = 0.
-2, 0, 3
Factor -5*m - 3*m**2 + 24 - 1/4*m**3.
-(m - 2)*(m + 6)*(m + 8)/4
Suppose -4*y = -7*u + 5*u - 24, -4*y + u = -28. Let i be (-1)/2 + (-23 + y)/(-15). Solve -1/2*f - i + 1/2*f**3 + 1/2*f**2 = 0 for f.
-1, 1
Let l(c) be the second derivative of c**5/300 - 4*c**4/15 + 128*c**3/15 + 59*c**2/2 - 29*c + 2. Let w(t) be the first derivative of l(t). Factor w(z).
(z - 16)**2/5
Let d(t) = 4*t - 6. Let a be d(-2). Let i be (24/a)/(14/(-98)). Factor 45*r - i*r**2 + 2*r**3 - 29*r - 6*r**3.
-4*r*(r - 1)*(r + 4)
Let t(n) be the third derivative of 0*n - 2/9*n**3 + 1/108*n**4 + 1/540*n**6 + 219*n**2 + 2/135*n**5 + 0. What is s in t(s) = 0?
-3, -2, 1
Let x be ((-102)/27 + 4)*99. Factor 57*c - 2*c**3 + 28*c - 61*c - x*c**2.
-2*c*(c - 1)*(c + 12)
Let p(d) be the second derivative of d**4/12 + 257*d**3/6 - 390*d**2 - 906*d. Determine m so that p(m) = 0.
-260, 3
Let v = -1158 - -4637/4. Let s(x) be the first derivative of 18 - 40/3*x**3 - 105/2*x**2 - v*x**4 - 90*x. Find f such that s(f) = 0.
-3, -2
Let i(o) be the first derivative of -55/4*o**4 + 5/6*o**6 + 133 - 80*o + 2*o**5 + 70*o**2 - 20/3*o**3. Determine p, given that i(p) = 0.
-4, -2, 1, 2
Suppose 26*v - 27*v + 8*v - 14 = 0. Factor 3/7*c**v + 45/7 + 48/7*c.
3*(c + 1)*(c + 15)/7
Let u be 0*(-1)/(-6)*(-312)/(-364). Let t(s) be the second derivative of s**3 + u - 1/2*s**4 - s**2 + 1/10*s**5 - 14*s. Factor t(i).
2*(i - 1)**3
Let t(c) be the third derivative of -c**6/720 - c**5/36 - c**4/16 + 868*c**2 - 2*c. Find f such that t(f) = 0.
-9, -1, 0
Let a(s) be the first derivative of -2*s**3/9 + 4*s**2 + 1178*s/3 + 2329. Solve a(g) = 0.
-19, 31
Suppose -3*d - 2*o + 10 = 0, 4*d - 5*o - 6 = -4*o. Factor 3*b - 84*b**2 - d*b + 83*b**2.
-b*(b - 1)
Suppose 0*i + 4*i = a - 22, -i + 40 = 3*a. Let l(y) = -y**2 + 17*y + 27. Let q be l(18). Find w, given that -a*w**2 - 20 + q*w**2 + 26*w - 6*w = 0.
2
Let g be 111/(-370) - (-144)/80. Find h such that h**2 + g*h - 1/2*h**3 + 0 = 0.
-1, 0, 3
Let g be (-16 - 2)*((-8)/3 - -2). Solve -c**2 - 113*c + 361*c + g*c + 3380 + 6*c**2 = 0 for c.
-26
Suppose -26*o + 129 + 1 = 0. Let p(l) be the second derivative of 0*l**2 - 9*l + 0 - l**4 + 3/20*l**o + 2*l**3. Determine s so that p(s) = 0.
0, 2
Suppose -1004/11*b**2 - 126002/11*b - 2/11*b**3 + 0 = 0. What is b?
-251, 0
Factor -8/13*b**3 - 2/13*b**4 + 0*b**2 + 0 + 0*b.
-2*b**3*(b + 4)/13
Let z be 6/(-12)*(-20 - -4). Suppose 0 = z*h - 3*h + 3*l - 27, 5*h + l = 19. Factor 7/3*j**2 + 1 + 14/3*j - 4/3*j**h.
-(j - 3)*(j + 1)*(4*j + 1)/3
Let o(j) = j - 7. Let p be o(10). Suppose -p*u + 12 = 6. Suppose 2*k**u - 41*k + 30*k + 338 - 41*k = 0. What is k?
13
Let d be (-1)/(-3*5/15855). Let v = d + -7387/7. Factor -12/7*c**3 - v - 36/7*c + 45/7*c**2.
-3*(c - 2)**2*(4*c + 1)/7
Let r(s) = 77*s**3 + 224*s**2 - 457*s + 219. Let z(n) = 19*n**3 + 56*n**2 - 114*n + 54. Let w(l) = -6*r(l) + 26*z(l). What is v in w(v) = 0?
-5, 3/4
Let y(b) be the third derivative of -5*b**8/1176 + 158*b**7/735 - 127*b**6/140 + 8*b**5/15 + 29*b**4/21 + 1978*b**2. Solve y(z) = 0.
-2/5, 0, 1, 2, 29
Let a(t) = t**3 + t**2 - 2*t + 50. Let j be a(0). Suppose -28*z**2 - 5*z**3 - 2*z**5 - 3*z**5 - 2*z**2 - j*z**3 - 30*z**4 = 0. What is z?
-3, -2, -1, 0
Let u be (-36)/(8/(64/(-56))). Suppose 431*q - 421*q - 20 = 0. Solve 4/7*b**3 + 0 - 24/7*b**q + u*b = 0.
0, 3
Let v(g) be the first derivative of g**4/6 + 14*g**3/9 - 10*g**2/3 - 32*g/3 + 495. Determine c so that v(c) = 0.
-8, -1, 2
Let g(s) be the first derivative of s**4/2 - 70*s**3/3 - 38*s**2 + 144*s - 846. Factor g(t).
2*(t - 36)*(t - 1)*(t + 2)
Let x(j) be the second derivative of j**4/36 + 3*j**3 + 9*j + 31. Solve x(y) = 0.
-54, 0
Let v(z) be the first derivative of -z**6/10 + 9*z**5/10 + z**4/4 - 3*z**3 + 90*z - 83. Let g(b) be the first derivative of v(b). Solve g(a) = 0 for a.
-1, 0, 1, 6
Factor 12/5*b + 0 + 2/5*b**2.
2*b*(b + 6)/5
Suppose 0 = 16*g - 19*g + 4*h + 69, -243 = 4*g + 17*h. Let r = 10 + -6. Factor -1/3*a**g + 16/3 + r*a + 0*a**2.
-(a - 4)*(a + 2)**2/3
Let j = 501 - 497. Suppose 5*u - m = 21, 5*u - 7*m - 24 = -3*m. Factor -u*d**4 + 188*d**5 - 4*d - 186*d**5 + 2*d + j*d**2.
2*d*(d - 1)**3*(d + 1)
Let s(w) = 2*w**3 + 3*w**2 + w. Let b(z) = 37*z**3 - 462*z**2 - 4769*z + 1400. Let l(t) = -b(t) + s(t). What is g in l(g) = 0?
-7, 2/7, 20
Suppose 102/5*i**3 + 0*i + 0 + 0*i**2 - 37/5*i**4 + 1/5*i**5 = 0. What is i?
0, 3, 34
Let -154*p + 14*p**3 + 15*p**2 + 2*p**5 + 5*p**4 + 5*p**4 + 138*p - 8 - 17*p**2 = 0. Calculate p.
-2, -1, 1
Let m be 35 + 3348/(-72) + (5 + -4 - -12). Suppose -27 + 57/2*h - m*h**2 = 0. What is h?
1, 18
Suppose d - 2*d + 1 = 4, 5*b + 62*d = -176. Factor 10/7 + 1/7*k**b - k.
(k - 5)*(k - 2)/7
Factor z**2 + 21920*z - 3724024 - 1018043 - 19282253 - 6*z**2.
-5*(z - 2192)**2
Let j(m) = -21*m - 103. Let f be j(-5). Factor -100 + 36*r - 3*r**2 + 74*r + f*r**2 - 5*r - 4*r**2.
-5*(r - 20)*(r - 1)
Let n(v) = 5*v**4 - 45*v**3 - 176*v**2 - 12*v + 242. Let z(a) = a**4 + 3*a**3 + 2*a**2 + 1. Let b(w) = n(w) - 2*z(w). What is l in b(l) = 0?
-2, 1, 20
Factor 0 - 4/5*n**2 - 2032/5*n.
-4*n*(n + 508)/5
Let q = -110/3 + 454. Let l = q - 416. Solve -6*n**3 - 14/3*n**2 - 10/3*n**4 + 0 - 2/3*n**5 - l*n = 0 for n.
-2, -1, 0
Suppose 2*w = 4*a - 7*a - 3, a + 2*w - 3 = 0. Let x(l) = -21*l**3 + 39*l**2 + 78*l + 18. Let y(u) = u**2 + u. Let n(i) = a*y(i) + x(i). Factor n(k).
-3*(k - 3)*(k + 1)*(7*k + 2)
Let s(t) = -t**2 + 18*t - 68. Let x be s(7). Factor 6*z**2 - 4*z + 17 - 3*z**3 + 4*z**3 - x - 11*z.
(z - 1)**2*(z + 8)
Suppose -11535 = -47*t - 11394. Let j(y) be the second derivative of 1/15*y**6 - 2/3*y**4 + 0 - 14*y + 0*y**t + 3/10*y**5 + 0*y**2. Factor j(q).
2*q**2*(q - 1)*(q + 4)
Factor -816080 - 1616*z - 4/5*z**2.
-4*(z + 1010)**2/5
Let x(u) = -u**3 + u**2 + 4*u. Let w(d) = -26*d**3 - 18*d**2 - 192*d - 640. Let r(z) = -w(z) + 24*x(z). Factor r(m).
2*(m + 5)*(m + 8)**2
Factor 1570 + 70410*l**2 + 1643 - 72113*l**3 + 8059 + 56352*l + 72063*l**3.
-2*(l - 1409)*(5*l + 2)**2
Suppose 0 + 4/3*d**3 + 0*d + 484/3*d**2 = 0. Calculate d.
-121, 0
Let y(u) be the second derivative of -u**6/105 - u**5/5 - u**4/6 + 26*u**3/7 - 279*u. Solve y(n) = 0 for n.
-13, -3, 0, 2
Let g(q) be the third derivative of 3*q**7/70 + 31*q**6/20 - 23*q**5/20 - 21*q**4/4 - 2707*q**2 + 2. Factor g(b).
3*b*(b - 1)*(b + 21)*(3*b + 2)
Let i = -23651 + 23669. Let l(d) be the first derivative of -9/4*d**4 - 3/5*d**5 + 33/2*d**2 + 3*d**3 - 30 + i*d. What is x in l(x) = 0?
-3, -1, 2
Let y(n) be the second derivative of n**5/24 + 55*n**4/72 - 1325*n**3/36 + 1265*n**2/12 - 3682*n. Determine h, given that y(h) = 0.
-23, 1, 11
Let u(p) = 4*p + 132. Let l = 226 - 259. Let f be u(l). Solve -2/13*y**3 + 20/13*y**4 - 16/13*y**5 + f - 2/13*y**2 + 0*y = 0.
-1/4, 0, 1/2, 1
Suppose 43*p - 30*p - 62 - 55 = 0. Let k(v) be the third derivative of p*v**2 + 3/4*v**5 + 0*v + 0*v**3 - 5/12*v**4 + 0. Solve k(q) = 0 for q.
0, 2/9
Let r(i) be the third derivative of 2*i**7/105 + 4*i**6/5 + 143*i**5/15 - 4*i**4 - 96*i**3 - 10*i**2 + i + 224. Find d, given that r(d) = 0.
-12, -1, 1
Factor -662/3*w**3 - 670/3*w + 4/3 + 1328/3*w**2.
-2*(w - 1)**2*(331*w - 2)/3
Suppose s = -76*j + 73*j + 38, 5*j = 3*s + 40. Suppose -6*m**4 - 3/2*m**s - 3*m**2 - 15/2*m**3 + 0 + 0*m = 0. Calculate m.
-2, -1, 0
Let f = -247/69 + 5009/1380. Let i(a) be the second derivative of f*a**6 - 3/2*a**2 + 0 - 3/40*a**5 + 5/4*a**3 - 3/8*a**4 + 14*a. Solve i(k) = 0 for k.
-2, 1
Let r(s) = 150*s**2 - 8067*s + 107745. Let c(y) = -75*y**2 + 4035*y - 53873. Let j(k) = 9*c(k) + 5*r(k). Let j(n) = 0. Calculate n.
134/5
Let o(s) be the second