2 + 59/4*x + 1/4*x**2.
(x - 2)*(x + 61)/4
Solve -8072*s**2 + 280 - 54*s - 8077*s**2 + 16151*s**2 = 0 for s.
7, 20
Find j, given that 219*j**3 - 8*j**4 + 3*j**5 - 100*j**2 + 272*j + 1176 - 2*j**2 + j**4 - 1196*j - 41*j**4 = 0.
-2, 2, 7
Let k(a) be the third derivative of -a**6/120 - 17*a**5/5 - 67*a**4/8 + 203*a**3/3 - 2265*a**2. Factor k(v).
-(v - 1)*(v + 2)*(v + 203)
Determine f so that 2/5*f**3 + 144/5 + 28/5*f**2 + 114/5*f = 0.
-8, -3
Let s(k) be the second derivative of 0*k**2 + 53*k - 1/50*k**5 + 1/30*k**4 + 1 + 2/5*k**3. Solve s(l) = 0 for l.
-2, 0, 3
Let b(q) be the third derivative of -q**5/120 - 571*q**4/24 + 861*q**2 - 3. Factor b(f).
-f*(f + 1142)/2
Factor 616225/2 - 392*y**2 + 613085/4*y + 1/4*y**3.
(y - 785)**2*(y + 2)/4
Let a(h) be the first derivative of -h**4/20 + 16*h**3/15 - 14*h**2/5 - 1269. Factor a(c).
-c*(c - 14)*(c - 2)/5
Let s(c) = -c**3 - 78*c**2 - 634*c - 117. Let u be s(-9). Factor 2/7*l**4 + 18/7*l**2 + 0 - 20/7*l**3 + u*l.
2*l**2*(l - 9)*(l - 1)/7
Let j(k) be the second derivative of -1/135*k**6 + 8/27*k**3 + 10*k + 5/27*k**4 - 4 + 0*k**2 + 1/90*k**5. Factor j(u).
-2*u*(u - 4)*(u + 1)*(u + 2)/9
Let w = 2516 + -2057. Let y = w + -1376/3. What is o in -2/3*o**2 + y*o - 1/3*o**3 + 2/3 = 0?
-2, -1, 1
Let n = -128 + 130. Factor -15*o + 14*o**3 + 54 - 24*o**n - 5 - o**4 - 7*o - 24*o**2 + 8*o.
-(o - 7)**2*(o - 1)*(o + 1)
Factor -80/3 - 74/9*d + 2/9*d**2.
2*(d - 40)*(d + 3)/9
Let b(a) be the second derivative of -a**6/75 + 38*a**5/25 + 158*a**4/15 + 64*a**3/3 + 10*a - 1. Factor b(d).
-2*d*(d - 80)*(d + 2)**2/5
Let h(x) be the first derivative of 23 - 8/9*x**3 - 4*x + 11/3*x**2 - 1/6*x**4. Solve h(j) = 0.
-6, 1
Factor 29*r + 18*r + 5*r**2 + 203 + 43*r + 72 - 10*r.
5*(r + 5)*(r + 11)
Let g(c) be the first derivative of -27*c**5 + 4059*c**4 - 817204*c**3/5 + 64944*c**2 - 8640*c + 2308. Factor g(h).
-3*(h - 60)**2*(15*h - 2)**2/5
Let d(b) be the second derivative of 10/27*b**3 - 7*b + 2/9*b**4 + 0*b**2 + 0 + 1/45*b**5. Suppose d(s) = 0. Calculate s.
-5, -1, 0
Let l(w) be the second derivative of -w**6/195 - 29*w**5/65 + 440*w**4/13 - 31702*w**3/39 + 9317*w**2 - 4*w + 46. Factor l(i).
-2*(i - 11)**3*(i + 91)/13
Let w(d) be the third derivative of 0 - 64/45*d**3 + 0*d - 49/450*d**5 - 41*d**2 + 52/45*d**4 + 1/300*d**6. Solve w(a) = 0.
1/3, 8
Let l = -21485 - -21488. Let f(z) be the third derivative of 1/28*z**4 + 46*z**2 + 0*z - 1/210*z**5 + 0 + 4/21*z**l. Suppose f(p) = 0. Calculate p.
-1, 4
Solve -50 - 17*o**3 + 5*o**4 - 133*o - o**3 - 135*o**2 - 8*o**3 - 12*o - 9*o**3 = 0.
-1, 10
Let k be (-10)/(-24) - (-19 - 2438/(-138)). Factor -k*w + 2 - 1/4*w**2.
-(w - 1)*(w + 8)/4
Let -15/4 - 111/8*l - 51/4*l**3 - 15/4*l**4 - 3/8*l**5 - 39/2*l**2 = 0. What is l?
-5, -2, -1
Let b be (16/56)/(94/1880). Factor -156/7 + b*s + 4/7*s**2.
4*(s - 3)*(s + 13)/7
Let y(d) = -d**2 + 5*d. Let g(n) = -n - 1. Let h be g(-6). Let l be y(h). Factor 3*j**5 - 18*j**3 - 20*j**2 + l*j - 12*j - 4*j**2 + 3*j.
3*j*(j - 3)*(j + 1)**3
Let v(y) be the third derivative of y**7/420 + y**6/24 - 103*y**5/120 - 7*y**4/3 - 10394*y**2. Suppose v(q) = 0. Calculate q.
-16, -1, 0, 7
Let d(i) be the first derivative of -8*i**3/3 + 389*i**2 + 1588*i + 2369. Solve d(r) = 0.
-2, 397/4
Let x(k) = 48*k**2 + 1018*k - 28. Let d(s) = -17*s**2 - 338*s + 10. Let l(c) = -14*d(c) - 5*x(c). Factor l(z).
-2*z*(z + 179)
Factor -211*k**3 + 1538 + 2302*k**2 + 1251*k**3 - 3843*k - 1037*k**3.
(k - 1)*(k + 769)*(3*k - 2)
Suppose -7*u = -2*u. Suppose -394443*y - 508 = -394697*y. Suppose 2/5*m**3 + u - 6/5*m**y + 4/5*m = 0. What is m?
0, 1, 2
Let n(h) = -11*h**2 + 76*h + 390. Let k(a) = 10*a**2 - 75*a - 385. Let t(v) = 6*k(v) + 5*n(v). Factor t(m).
5*(m - 18)*(m + 4)
Let l(q) be the second derivative of q**4/108 - 67*q**3/54 - 100*q**2/3 + 4129*q - 2. Find m, given that l(m) = 0.
-8, 75
Let h(m) be the first derivative of -331 + 0*m + 2/21*m**3 - 4*m**2. Factor h(n).
2*n*(n - 28)/7
Let g(w) = 5*w**3 + 86*w**2 + 15*w - 86. Let o(v) = -13*v**3 - 172*v**2 - 37*v + 172. Let r(m) = -15*g(m) - 6*o(m). Factor r(k).
3*(k - 86)*(k - 1)*(k + 1)
Let l(o) be the first derivative of 45 + 7/9*o**6 + 8/3*o - 46/9*o**3 - 8/3*o**2 + 1/6*o**4 + 38/15*o**5. Find p, given that l(p) = 0.
-2, -1, 2/7, 1
Let y(s) be the second derivative of 1 - s**3 - 1/12*s**4 - 4*s**2 + 22*s. What is l in y(l) = 0?
-4, -2
Let k(a) = -a**2 + 28*a - 50. Let r be k(26). Factor 4*z + 6*z**3 - 2*z**4 - 3*z**r - 4*z - z**4.
-3*z**2*(z - 1)**2
Let o(j) be the third derivative of 1/30*j**5 - 16*j**2 - 1/9*j**3 + 1 + 0*j + 11/72*j**4. Factor o(t).
(t + 2)*(6*t - 1)/3
Let w(s) = 153*s**2 + 336*s + 268. Let p(c) = 77*c**2 + 168*c + 124. Let k(u) = -13*p(u) + 6*w(u). Solve k(b) = 0 for b.
-2, -2/83
Let d(x) = 114*x**2 - 30*x - 226. Let w be d(-11). Factor 240*j - 10298 + 8*j**2 - 4*j**2 + w.
4*(j + 30)**2
Let s(b) be the first derivative of -b**6/240 - b**5/40 - b**4/16 - b**3/12 + 13*b**2 - 7. Let a(u) be the second derivative of s(u). Factor a(g).
-(g + 1)**3/2
Let h(d) = 4*d**2 + 51*d - 318. Let r(u) = -17*u**2 - 205*u + 1270. Let p(t) = -26*h(t) - 6*r(t). Solve p(g) = 0 for g.
-54, 6
Suppose 0 = -25*j + 8*j + 85. Let t be (5/j)/((-2)/(-6)). Let -t*y**2 + 39 + 128*y**3 + 39*y**2 - 131*y**3 - 144*y + 153 = 0. Calculate y.
4
Let f(z) be the second derivative of z**6/15 + 67*z**5/10 + 203*z**4 + 3200*z**3/3 + 2048*z**2 + 5*z - 126. Factor f(d).
2*(d + 1)*(d + 2)*(d + 32)**2
Find h such that -2/7*h**3 + 260/7*h + 96 + 6/7*h**2 = 0.
-8, -3, 14
Let o be ((-495)/792)/((-700)/48). Let w(u) be the second derivative of 0*u**2 + 0*u**3 + 0 + 1/70*u**6 + 1/98*u**7 - o*u**5 - 9*u + 0*u**4. Factor w(s).
3*s**3*(s - 1)*(s + 2)/7
Factor -48 + 606 + 494 - 5*w**2 - 40*w + 148.
-5*(w - 12)*(w + 20)
Let x(m) be the third derivative of m**6/96 - 46*m**5/3 + 224475*m**4/32 + 226935*m**3/4 - 2*m**2 + 1599. Determine j so that x(j) = 0.
-2, 369
Let p(n) = n**3 - 1. Suppose -269*y + 12 = -272*y. Let i(o) = o**3 + 9*o**2 + o - 11. Let s(b) = y*p(b) + 2*i(b). Factor s(t).
-2*(t - 9)*(t - 1)*(t + 1)
Let u = -30 + 33. Let t be -4 + u + (23 - -3). Suppose 21*f + t*f - 2*f**2 - 42*f = 0. Calculate f.
0, 2
Let p(o) be the second derivative of 0 + 9/5*o**5 + 37*o + 23/3*o**4 + 2/15*o**6 - 72*o**2 + 2*o**3. Solve p(c) = 0 for c.
-4, -3, 1
Let c(o) be the second derivative of 164*o**6/5 - 45*o**5 - 21*o**4/2 + 103*o**3/2 - 36*o**2 - 117*o - 2. Determine a so that c(a) = 0.
-24/41, 1/2
Let x be (2 - 0)*(1859/65 - 17 - 11). Determine p so that -x*p**2 - 6/5*p**3 + 0 - 2/5*p**4 - 2/5*p = 0.
-1, 0
Let r(o) be the second derivative of 2*o**6/15 - 52*o**5 + 5546*o**4 + 68120*o**3/3 + 34322*o**2 + 7998*o. Solve r(a) = 0.
-1, 131
Let u be (28/(-63))/((8/18)/(-2)). Factor a**2 + 3*a**u - 6 + 9*a + 39 - 45*a - a**2.
3*(a - 11)*(a - 1)
Let b(l) be the third derivative of l**6/180 + 13*l**5/90 + 11*l**4/9 + 32*l**3/9 - 219*l**2. Determine q so that b(q) = 0.
-8, -4, -1
Suppose 4*a + 47*u + 11 = 42*u, 3*a + 8 = -4*u. Let c be 1/((-10)/a - 2). Factor 15/2*x**3 + 13/2*x**2 + 0 + c*x + 1/2*x**5 + 7/2*x**4.
x*(x + 1)**3*(x + 4)/2
Suppose 9/4*o**5 + 0*o + 0 + 60*o**3 + 48*o**2 + 21*o**4 = 0. What is o?
-4, -4/3, 0
Let w(p) = p**4 - p**3 + p**2 + p - 1. Let a(x) = 4*x**5 + 82*x**4 - 266*x**3 + 274*x**2 - 90*x - 2. Let o(y) = a(y) - 2*w(y). Suppose o(d) = 0. Calculate d.
-23, 0, 1
Suppose -3*c = 5*r - r - 22, -4*c - r = -12. Factor -15*y - 6*y**c + 8*y**2 + 0*y - 42 + y**2.
3*(y - 7)*(y + 2)
Let x(y) be the first derivative of -y**3 - 2661*y**2/2 + 2664*y + 7645. Factor x(u).
-3*(u - 1)*(u + 888)
Suppose 26/7 + 27/7*k - 20/7*k**2 = 0. Calculate k.
-13/20, 2
Let l(d) be the second derivative of -d**6/210 + 4*d**5/7 - 151*d**4/28 + 111*d**3/7 - 3513*d. Factor l(q).
-q*(q - 74)*(q - 3)**2/7
Let o(m) = 11*m**2 + 63*m + 234. Let t(z) = -6*z**2 - 32*z - 130. Let j(c) = -4*o(c) - 7*t(c). Determine s so that j(s) = 0.
-13, -1
Let g(o) be the second derivative of o**5/360 - 7*o**4/144 + o**2 - 96*o. Let w(t) be the first derivative of g(t). Factor w(n).
n*(n - 7)/6
Let d(s) be the third derivative of -s**6/40 + 127*s**5/20 + 65*s**4/4 - 128*s**3 + 761*s**2. Solve d(v) = 0 for v.
-2, 1, 128
Let r be ((-3)/(-17))/((-3)/(-4)). Let s be 20/(-5) - 186/(-155)*5. Solve 2/17*m**s - 2/17 + 4/17*m - r*m**3 = 0.