-87*g**5/40 - 35*g**4/8 + 13*g**3 + 9*g**2 - 7747*g. Suppose q(v) = 0. Calculate v.
-2, -6/29, 1
Let g(z) = -2*z**3 + 2*z**2 - 158*z - 437. Let a(d) = 3*d**3 - 3*d**2 + 318*d + 873. Let y(r) = -5*a(r) - 9*g(r). Factor y(p).
3*(p - 9)*(p + 4)**2
Suppose 0 = -116*h + 129*h - 91. Suppose -2*w + 6*w = 3*z + 2, z = 2*w - 2. Determine t so that 6*t + 3*t**3 - 40 + 25*t**2 - 3*t + w*t**3 + h*t = 0.
-4, -2, 1
Let t(c) be the third derivative of c**7/105 - 3*c**6/20 + 9*c**4 - 5*c**2 + 507*c - 1. Let t(y) = 0. Calculate y.
-3, 0, 6
Let 1168*d**2 + 1173*d**2 - 2120*d + 1163*d**2 + 561800 + 1163*d**2 - 4665*d**2 = 0. Calculate d.
530
Suppose 23 = 6*o + q, -3*q = -771*o + 769*o + 31. Let d(n) be the first derivative of -1/3*n**6 + 0*n + 6/5*n**o + 0*n**3 + 0*n**2 - n**4 + 26. Factor d(x).
-2*x**3*(x - 2)*(x - 1)
Factor 346/3*n + 1/3*n**2 + 29929/3.
(n + 173)**2/3
Let d(l) be the third derivative of 3*l**4 - 2/105*l**7 + 0*l**3 + 4/15*l**6 + 53*l**2 + 0 - 7/5*l**5 + 0*l. Determine n, given that d(n) = 0.
0, 2, 3
Let x(p) = -44*p**3 - 252*p**2 - 904*p + 1120. Let g(o) = 8*o**3 + 50*o**2 + 181*o - 224. Let u(d) = -16*g(d) - 3*x(d). Factor u(k).
4*(k - 14)*(k - 1)*(k + 4)
Suppose 5826 - 5672 = 77*z. What is x in 18*x + 243 + 1/3*x**z = 0?
-27
Let u = 4 - 2. Suppose 0 = -5*v - 4*y + 102, 5*v + 0*y = -u*y + 106. Factor -4*l**3 - 23*l**2 + 44*l**2 - v*l**2 + 3*l + 3*l - l**4.
-l*(l - 1)*(l + 2)*(l + 3)
Let l(p) be the second derivative of -30/7*p**3 - 8 - 13*p + 1/28*p**4 + 1350/7*p**2. Factor l(c).
3*(c - 30)**2/7
Let i(o) be the first derivative of -o**4/14 - 86*o**3/21 - 6*o**2 + 70. Factor i(u).
-2*u*(u + 1)*(u + 42)/7
Let w(k) = -25*k**3 + 50*k**2 - 25. Suppose 0 = 24*s + 3*s + 162. Let o(y) = 27*y**3 - 50*y**2 - y + 24. Let u(l) = s*w(l) - 5*o(l). Let u(z) = 0. What is z?
-2/3, 1, 3
Let k(z) be the first derivative of z**6/480 - z**5/48 - z**4/16 - 53*z**2 - 2*z - 241. Let w(b) be the second derivative of k(b). Solve w(q) = 0.
-1, 0, 6
Let r(u) be the second derivative of u**4/60 + 943*u**3/30 - 189*u**2 + 10639*u. Factor r(q).
(q - 2)*(q + 945)/5
Let v(x) be the third derivative of 11/210*x**5 + 0*x**3 + 4/105*x**6 + 72*x**2 + 1/105*x**7 + 0 + 0*x + 1/42*x**4. Factor v(u).
2*u*(u + 1)**2*(7*u + 2)/7
Solve -8755*l**4 - 5*l**5 + 8750*l**4 + 46*l**3 + 4*l**3 - 40*l**2 = 0 for l.
-4, 0, 1, 2
Let z(t) be the first derivative of t**3/4 - 57*t**2/4 + 1083*t/4 - 1406. Let z(r) = 0. Calculate r.
19
Factor 0 + 13824/5*h + 2/5*h**4 - 2*h**3 - 1216/5*h**2.
2*h*(h - 16)**2*(h + 27)/5
Let c(q) be the first derivative of 242*q**5/5 + 55*q**4 - 214*q**3/3 - 60*q**2 + 72*q - 2889. Suppose c(t) = 0. What is t?
-1, 6/11
Let q be (245/(-14) + 11)*(3 - 135/39). Let f be 12/(-90) + 19/30. Find k such that 0 - 3/4*k**2 + 1/4*k**q + f*k = 0.
0, 1, 2
Let -18*d**2 + 56*d**2 - 25*d**2 - 717893 - 14*d**2 - 577151 - 2276*d = 0. What is d?
-1138
Factor -270*m + 199 - 2213 + 17*m**2 - 22*m**2 + 369.
-5*(m + 7)*(m + 47)
Suppose -3*d - 5*v - 25 = 0, 5*d + 706*v = 711*v + 25. Suppose r - 7 = -4. Factor -8/9*p**2 + 16/3*p**r + d - 10*p**4 + 0*p + 50/9*p**5.
2*p**2*(p - 1)*(5*p - 2)**2/9
Let f(r) be the second derivative of -r**4/48 + 19*r**3/24 - 6*r**2 + 1082*r + 5. Factor f(a).
-(a - 16)*(a - 3)/4
Let d(y) = -4*y**2 - 6464*y - 16. Let x(g) = 11*g - 1. Let q(z) = -d(z) + 16*x(z). Factor q(n).
4*n*(n + 1660)
Let k be -13 + 0 + (-50 - -62 - -3). Suppose -3/4*m**k - 6 - 9/2*m = 0. Calculate m.
-4, -2
Suppose -53*y = -50*y - 66*t - 528, -3*y - 4*t = 32. Factor 0*i - 24/5*i**2 + y + 6/5*i**3 + 3/5*i**4.
3*i**2*(i - 2)*(i + 4)/5
Let c(o) = -568*o - 277181. Let h be c(-488). Factor 1 - 1/2*w**h + 1/2*w - w**2.
-(w - 1)*(w + 1)*(w + 2)/2
Solve -248955*o**4 + 6*o**5 + 45*o**3 + 249005*o**4 - o**5 = 0.
-9, -1, 0
Let b(j) be the first derivative of -j**6/6 + 4*j**5/5 + 24*j**4 + 5035. Factor b(t).
-t**3*(t - 12)*(t + 8)
Let k(x) be the first derivative of -7*x**6/10 + 3*x**5/5 + 171*x**4/10 + 172*x**3/5 + 12*x**2 + 776. Let k(j) = 0. What is j?
-2, -2/7, 0, 5
Let g(r) be the first derivative of 36*r + 87 - r**4 + 44/3*r**3 - 38*r**2. Factor g(c).
-4*(c - 9)*(c - 1)**2
Suppose 2*y - 8 = 28. Let z(s) = s + 1. Let a(r) = -2*r**2 + 7*r + 21. Let i(d) = y*z(d) - 2*a(d). What is v in i(v) = 0?
-3, 2
Let b = -243976/21 + 11618. Let m(i) be the first derivative of 3/7*i**2 + 0*i - b*i**3 - 36. Find p, given that m(p) = 0.
0, 3
Let x = -495 + 562. Suppose 0 = 92*q - x*q - 75. Determine m, given that 3/2 + 21/4*m - 9/4*m**q + 3/2*m**2 = 0.
-1, -1/3, 2
Let i(c) = 4*c**3 - 186*c**2 + 722*c - 704. Let s(w) = -21*w**3 + 930*w**2 - 3611*w + 3516. Let q(m) = 11*i(m) + 2*s(m). Factor q(o).
2*(o - 89)*(o - 2)**2
Factor -180/7*i - 3/7*i**2 - 2700/7.
-3*(i + 30)**2/7
Let y = -244735/3 - -81579. Factor -1/6*o**5 - 19/6*o**3 - 8/3*o + 25/6*o**2 + 7/6*o**4 + y.
-(o - 2)**2*(o - 1)**3/6
Let d(t) be the first derivative of -5*t**6/12 + 189*t**5/2 - 44175*t**4/8 - 45125*t**3/6 + 581. What is j in d(j) = 0?
-1, 0, 95
Solve -602*r - 1/2*r**2 - 181202 = 0 for r.
-602
Let p(h) be the first derivative of -4*h**3/3 + 4*h**2 + 396*h - 3099. Factor p(l).
-4*(l - 11)*(l + 9)
Let p be ((-195)/10*-2)/(1 - 0). Let d be ((-2)/12)/(p/(-351)). Factor -3/2*v**3 - 3*v**2 + 3 + d*v.
-3*(v - 1)*(v + 1)*(v + 2)/2
Determine n, given that -116*n**4 + 925*n**3 + 311*n**4 + 1120 - 2080*n - 70*n**4 + 30*n**2 = 0.
-7, -2, 4/5
Let x(s) = 10*s + 452. Let n(y) = 15*y - 405. Let k be n(24). Let v be x(k). Let -1/2*g**v - 1/6*g + 1/6*g**4 + 1/3 + 1/6*g**3 = 0. Calculate g.
-2, -1, 1
Let q(s) = 2*s**3 - 3*s**2 - s + 3. Let a be (57/95)/(1/5). Let v be q(a). Let v + 24*p**3 + 66*p**2 - 5*p**4 + p**4 + 86*p + 7*p**4 - 14*p = 0. What is p?
-3, -1
Determine w so that 54/7 - 27/7*w - 6/7*w**2 = 0.
-6, 3/2
Suppose 0 = -4*n - 4*m - 4, -4*n - 23 = -5*n + 5*m. Solve u**4 - 40 + 42*u**n - 92 - 12*u + 254*u**2 + 2*u**4 - 155*u**2 = 0.
-11, -2, 1
Let r(o) be the second derivative of -o**7/21 - 2*o**6/15 + 19*o**5/5 + 20*o**4/3 - 325*o**3/3 + 250*o**2 + 1207*o. Determine b so that r(b) = 0.
-5, 1, 2, 5
Let u(i) = 11*i + 32 - i**3 - 801*i**2 + 397*i**2 - 3*i + 400*i**2. Let p be u(-4). Let -2/11*z**2 + 2/11*z**3 + p + 0*z = 0. What is z?
0, 1
Determine s, given that 12*s**4 - 169 + 63216*s + 693*s**3 - 4535 + 10578*s**2 - 47088*s = 0.
-28, -2, 1/4
Let l = 181 + -170. Factor 9 + l - 28 + x**2 + 11*x**2 + 4*x.
4*(x + 1)*(3*x - 2)
Let v(b) be the second derivative of -5*b**4/12 - 295*b**3/3 + 600*b**2 - 335*b. Factor v(d).
-5*(d - 2)*(d + 120)
Suppose 12*k + k = -468. Let p be k/108*3/(-5). Factor 0*n**3 + 0 - p*n**4 - 2/5*n + 3/5*n**2.
-n*(n - 1)**2*(n + 2)/5
Let p(s) = -10*s**2 - 88*s - 5. Let z(g) = 9*g**2 + 87*g + 6. Let k(m) = -6*p(m) - 5*z(m). Let l(q) = 7*q**2 + 46*q. Let h(u) = -4*k(u) + 9*l(u). Factor h(f).
3*f*(f + 14)
Let i(r) be the second derivative of -5*r**7/42 + 4*r**6/3 - 23*r**5/4 + 35*r**4/3 - 10*r**3 + 47*r - 1. Determine b so that i(b) = 0.
0, 1, 2, 3
Determine c, given that -2455*c**3 - 4*c**5 - 729 + 2442 - 26895*c + c**5 + 26238*c**2 + 7362 - 321*c**4 - 5639*c**3 = 0.
-55, 1
Let s(j) be the first derivative of -6*j**3/7 - 2145*j**2/7 - 204*j - 1457. Factor s(g).
-6*(g + 238)*(3*g + 1)/7
Solve 142883/2*y**2 + 1/2*y**4 - 71442 + 378*y**3 - 378*y = 0.
-378, -1, 1
Let c(r) be the second derivative of -1/18*r**4 - 49/36*r**3 - 81*r - 5/2*r**2 + 0 + 1/40*r**5. Determine d so that c(d) = 0.
-3, -2/3, 5
Let r(b) be the first derivative of -b**6/39 + 24*b**5 - 9360*b**4 + 1946880*b**3 - 227784960*b**2 + 14213781504*b + 463. Factor r(y).
-2*(y - 156)**5/13
Let d(s) = -3*s**3 + 22*s**2 + 26*s - 78. Let z be d(8). Let r(f) be the first derivative of -f**3 + 0*f + 1 + 3/2*f**z. Factor r(w).
-3*w*(w - 1)
Let d(l) be the first derivative of -l**5/5 - 27*l**4/4 - 19*l**3 + 1819*l**2/2 - 1734*l - 3200. Factor d(b).
-(b - 6)*(b - 1)*(b + 17)**2
Factor 0 - 11*g**3 + 0*g**2 + 0*g - 21/2*g**4 + 1/2*g**5.
g**3*(g - 22)*(g + 1)/2
Let m(q) = -33*q**2 + 17019*q - 6049116. Let k(o) = 8*o**2 - 4255*o + 1512280. Let f(n) = 21*k(n) + 5*m(n). What is h in f(h) = 0?
710
Factor 1338/13*c + 2/13*c**3 + 0 + 452/13*c**2.
2*c*(c + 3)*(c + 223)/13
Let b(z) be the second derivative of z**6/30 - 149*z**5/20 - z**4/12 + 149*z**3/6 - 2*z + 648. Suppose b(c) = 0. What is c?
-1, 0, 1, 1