*4 + 2*d**2 - 4*d**5 + 6*d + v*d**4 - 1 = 0. Calculate d.
-1, -1/2, 1/2, 1
Let q(v) = 8*v**2 - 167*v - 6724. Let n(p) be the second derivative of -p**4/4 + p**3/6 - 29*p + 1. Let z(t) = -15*n(t) - 5*q(t). Factor z(c).
5*(c + 82)**2
Let h(u) be the third derivative of u**5/12 - 5*u**4/3 - 50*u**3/3 - 1796*u**2. Factor h(p).
5*(p - 10)*(p + 2)
Let k(c) = -57*c**2 - 162*c - 66. Let p(v) = -8333 + 8325 - 12*v - 8*v - 7*v**2. Let d(g) = -4*k(g) + 33*p(g). Factor d(b).
-3*b*(b + 4)
Let f = -10487/12 + 10505/12. Find o such that -f*o**2 + 15 - 27/2*o = 0.
-10, 1
Let b(r) be the third derivative of r**6/280 + 181*r**5/70 - 727*r**4/56 + 26*r**3 + 5*r**2 + 220. Factor b(i).
3*(i - 1)**2*(i + 364)/7
Let q be ((-56)/12 + 3)*-3*1. Let u(l) = l**2 - 30*l - 10. Let k(i) = 15*i + 6. Let b(g) = q*k(g) + 3*u(g). Factor b(t).
3*t*(t - 5)
Let u(g) be the first derivative of -g**4/4 - 7*g**3/3 + g**2/2 + 7*g - 116. Factor u(k).
-(k - 1)*(k + 1)*(k + 7)
Determine j so that -12/7*j - 9/7*j**3 + 3/7*j**5 + 0 - 24/7*j**2 + 6/7*j**4 = 0.
-2, -1, 0, 2
Let -7/8*i**2 - 33/4 - 73/8*i = 0. Calculate i.
-66/7, -1
Let g = -97164 + 97166. Find j, given that 4/5*j + 17/5*j**2 + g*j**3 - 3/5 = 0.
-1, 3/10
Let l(x) be the second derivative of -x**4/96 + 49*x**3/12 + 523*x. Let l(p) = 0. Calculate p.
0, 196
Solve 25*k + 19*k**2 - 19*k - 800 - 6*k**2 + 19*k**2 + 34*k + 2*k**3 = 0 for k.
-10, 4
Let g(t) be the third derivative of t**7/210 - 31*t**6/60 + 92*t**5/5 - 529*t**4/12 - 85169*t**3/6 + 2306*t**2. Factor g(i).
(i - 23)**3*(i + 7)
Let c(u) = 4*u**2 + 5. Let i(n) = -n**2 - 1. Let t be (46/69)/(1/3). Let a(l) = t*c(l) + 9*i(l). Factor a(k).
-(k - 1)*(k + 1)
Let o(j) be the first derivative of -2*j**3/15 - 83*j**2/5 - 96*j + 2019. Factor o(a).
-2*(a + 3)*(a + 80)/5
Let f be 15*(-36 + 181/5). Find g such that 89/5*g**2 - 236/5*g + 12 + 7/5*g**f = 0.
-15, 2/7, 2
Let f(z) = -z - 2. Let g be f(-5). Let n = -16783 + 16783. Factor 2/3*v**2 + 2/3*v**g + 0*v + n.
2*v**2*(v + 1)/3
Let l(z) be the second derivative of 3/20*z**5 + z**3 + 25 + 1/60*z**6 + 13/24*z**4 + z**2 - z. Factor l(v).
(v + 1)**2*(v + 2)**2/2
Let -4/5*m + 4/5 + 4/5*m**3 - 4/5*m**2 = 0. Calculate m.
-1, 1
Let n = 290 + -287. Factor -133 + 10*b**n + 133 + b**2 - 15*b**3 + 9*b**2 + 75*b.
-5*b*(b - 5)*(b + 3)
Let l(m) be the third derivative of m**8/756 - 2*m**7/945 - 5*m**6/54 + 5*m**5/27 - m**2 + 74. Find o, given that l(o) = 0.
-5, 0, 1, 5
Suppose -4*m - 16 = 0, 5*t + 0 = -3*m - 2. Solve 15*j**2 - 9*j**3 - 5*j**t + 6*j**3 + 8*j**3 = 0 for j.
-2, 0
Factor -15427 - 14*q**3 - 4800*q - 53*q**2 + 9*q**3 + 10819 + 3*q**3 - 141*q**2.
-2*(q + 1)*(q + 48)**2
Let w(f) be the first derivative of 1225*f**3/12 + 665*f**2/2 + 361*f - 2747. Factor w(y).
(35*y + 38)**2/4
Let p = -7031 - -14067/2. Let t(w) be the first derivative of -p*w**2 + 6 + 5/3*w**3 + 0*w - w**5 + 5/4*w**4. Let t(j) = 0. Calculate j.
-1, 0, 1
Let s = 2/6929 - -55414/62361. Solve s*t - 2/9*t**2 - 2/3 = 0.
1, 3
Let g(t) = -29*t**3 - 18*t**2 + 23*t - 4. Let i(p) = 37*p**3 + 18*p**2 - 22*p + 5. Let w(q) = 5*g(q) + 4*i(q). Let w(s) = 0. What is s?
0, 3
Suppose -824/3*h**2 - 3/2*h**4 + 533/6*h**3 - 112/3 + 674/3*h = 0. What is h?
2/9, 1, 2, 56
Suppose 357*h**3 - 19683*h + 19197*h**2 - 491023*h**4 + 491026*h**4 + 126*h**3 = 0. Calculate h.
-81, 0, 1
Let z = -72488/945 + 537/7. Let d(c) be the third derivative of -z*c**5 - 1/108*c**4 - 1/540*c**6 + 12*c**2 + 0*c + 0*c**3 + 0. Factor d(i).
-2*i*(i + 1)**2/9
Let d(q) be the first derivative of -q**4/20 + 47*q**3/15 - 88*q**2/5 + 172*q/5 - 1271. Determine j so that d(j) = 0.
2, 43
Let z(m) be the third derivative of m**7/1050 - m**6/40 + 17*m**5/100 + 23*m**4/24 - 20*m**3 + 967*m**2 + 2*m. Factor z(a).
(a - 8)*(a - 5)**2*(a + 3)/5
Let u = 148584/65 + -11428/5. Suppose i = 3*i - 4. Determine p so that 2/13*p + u - 2/13*p**i = 0.
-1, 2
What is o in -484/3*o**2 + 0 - 1/3*o**3 + 324*o = 0?
-486, 0, 2
Let r be 4 - ((-14)/28 + (-650)/4). Suppose -26*l**2 - r*l**2 - 5*l**3 - 2640*l - 930 - 32*l**2 - 1490 = 0. What is l?
-22, -1
Let q(c) be the third derivative of 0*c**3 - 1/34*c**4 - 1/510*c**5 + 0*c + 0 - 222*c**2. What is s in q(s) = 0?
-6, 0
Let w = 405254 - 405251. Factor -32/9*a + 2/9*a**w + 0 + 0*a**2.
2*a*(a - 4)*(a + 4)/9
Factor -112/5 + 2/5*m**2 + 52/5*m.
2*(m - 2)*(m + 28)/5
Let t(o) be the first derivative of 35*o**4/4 - 10*o**3/3 + 8255. Factor t(w).
5*w**2*(7*w - 2)
Suppose -1182*x + 1188 + 3/2*x**3 + 291*x**2 = 0. Calculate x.
-198, 2
Suppose 0 - 1/4*s**3 + 0*s - 657/2*s**2 = 0. Calculate s.
-1314, 0
Factor 6520*x**2 - 20524297*x + 70566098*x - 90564675156 + 14371291*x + 4*x**3 - 40468*x**2 + 31625800*x.
4*(x - 2829)**3
Let p(v) be the first derivative of v**6/6 - v**5 - 41*v**4/4 - 83*v**3/3 - 34*v**2 - 20*v - 573. Factor p(o).
(o - 10)*(o + 1)**3*(o + 2)
Let g be (8/(-4))/(-4)*0. Suppose -271*q - 1000 = -771*q. Factor m + g + 1/2*m**q.
m*(m + 2)/2
Let u(k) = -5*k**4 + 104*k**3 + 238*k**2 + 120*k - 3. Let s(z) = 15*z**4 - 314*z**3 - 713*z**2 - 360*z + 8. Let h(b) = -3*s(b) - 8*u(b). Solve h(c) = 0 for c.
-1, 0, 24
Suppose 0 = -5*y - 24*v + 19*v - 20, 5*v + 32 = -y. Factor 2/5*k**y - 12/5*k + 0 - 2/5*k**2.
2*k*(k - 3)*(k + 2)/5
Let m be -6 + 3729/3707 - (-10)/2. Let i = 660/2359 + m. Find r, given that 0 + 2/7*r**2 + 2/7*r**3 - 2/7*r**4 - i*r = 0.
-1, 0, 1
Let r(q) = q**3 - 9*q**2 + 9*q + 6. Suppose 4*k - 2*f = 36, -k + 6*k = f + 42. Let j be r(k). Factor -2*h**3 + h**2 - 10*h + h**4 + j*h - 4*h.
h**2*(h - 1)**2
Factor -423*z**2 - 63 - 237 + 17*z**3 + 15*z**3 - 3*z**4 + 34*z**3 + 660*z.
-3*(z - 10)**2*(z - 1)**2
Suppose 11*t - 37 - 359 = 0. Let m = -2 - -5. Factor 9 + 0*k**3 + 0*k**3 + m*k**3 - 51*k - 21*k**2 - t.
3*(k - 9)*(k + 1)**2
Let b = 13802 - 13774. Let q(l) be the third derivative of 0 + 1/20*l**4 + 0*l + 1/30*l**5 - 2/15*l**3 + b*l**2. Determine v, given that q(v) = 0.
-1, 2/5
Suppose 3*n = -n - 10*n. Let j(y) be the second derivative of 0*y**4 + n*y**3 + 6*y + 0 - 4/5*y**5 + 2/15*y**6 + 0*y**2. Determine b, given that j(b) = 0.
0, 4
Solve 2160 + 651*m**2 + 49/2*m**3 - 2448*m = 0 for m.
-30, 12/7
Let l(w) = w - 11. Let v be l(11). Suppose -x + v*x = -2*x. Factor 16*b + 8 + x*b**2 + 10*b**2 - 7*b**3 + 15*b**3 - 6*b**3.
2*(b + 1)*(b + 2)**2
Determine f, given that -2*f**2 - 4287*f - 5 + 321 + 4441*f = 0.
-2, 79
Let i(q) be the second derivative of q**5/100 - q**4/60 - 101*q**3/30 - 99*q**2/10 + 2164*q. Factor i(x).
(x - 11)*(x + 1)*(x + 9)/5
Factor -2*d**3 + 174*d - 87*d - 41*d**2 - 25*d**2 - 87*d.
-2*d**2*(d + 33)
Determine c so that 301/5*c**2 - 1520*c + 500 - 3/5*c**3 = 0.
1/3, 50
Let p(r) = 11*r**5 - 115*r**4 + 9*r**3 + 455*r**2 + 280*r. Let k(w) = w**5 - w**3 - 10*w**2. Let o(m) = 4*k(m) + p(m). Find t such that o(t) = 0.
-1, 0, 8/3, 7
Let v be 21/(-9) - ((-107)/(-165))/((-261)/1305). Factor 6/11*b**3 - 2*b - 6/11 - v*b**2.
2*(b - 3)*(b + 1)*(3*b + 1)/11
Let h be (192/160)/(2/15). Let p be 64/18 - ((-108)/h - -14). Suppose -14/9*b + p*b**3 - 4/9 + 10/9*b**4 - 2/3*b**2 = 0. What is b?
-1, -2/5, 1
What is d in 2/11*d**3 + 132 + 230/11*d - 244/11*d**2 = 0?
-2, 3, 121
Let y(c) = -11*c**3 + 790 - 11*c + 10*c**3 - 805 - 5*c**2. Let x be y(-3). Let -4/5*u + x + 1/5*u**2 = 0. What is u?
0, 4
Suppose -2*p + 4*l - 56 = 0, -279*l + 276*l + 42 = 3*p. Factor p - 10*n - 5/2*n**2.
-5*n*(n + 4)/2
Let d(x) = 2*x**2 - x - 3. Let k be d(2). Determine w, given that k*w - 8*w**2 - 100*w + 56 - 11*w = 0.
-14, 1/2
Let v be (-663)/(-1710) - 1/3. Let m = 3/38 + v. Determine s, given that m*s**3 - 6/5 + 2*s - 14/15*s**2 = 0.
1, 3
Let s = 189163/180 + -9458/9. Let l(m) be the third derivative of 1/360*m**6 - 2*m**2 - 1/6*m**3 + 0 + s*m**5 - 1/72*m**4 + 0*m. What is n in l(n) = 0?
-3, -1, 1
Determine h so that -9/2*h - 20 - 1/4*h**2 = 0.
-10, -8
Solve -134*d**2 - d**5 - 91*d + 8 + 3*d**4 - 16*d**4 - 53 - 38*d + 143*d**3 - 205*d**3 = 0.
-5, -3, -1
Solve -83/10*l**3 - 3/2*l**5 - 8/5*l**2 + 37/5*l**4 + 0 + 6/5*l = 0.
-2/5, 0, 1/3, 2, 3
Let m(b) be the first derivative of 2*b**3/3 - 5*b**2/2 - 4*b - 1. Let l(n) = 4*n**2 - 9*n - 8. Let a(u) = 3*l(u) - 5*m(u). Let a(j) = 0. Calculate j.
-1, 2
Suppose -148411*h**5 + 148410*h**5 - 138*h**2 - 740*h + 28*h**4 - 286*h**2 + 345*h**3 = 0. What is h?
-10, -1, 0, 2, 37
Let h be (-4 - 4)*-4*(1