r b.
-1, -1/3, 1
Let b(j) = 1606*j**3 + 6272*j**2 + 6076*j - 298. Let p(k) = 1071*k**3 + 4180*k**2 + 4050*k - 199. Let m(h) = 7*b(h) - 10*p(h). Solve m(s) = 0 for s.
-2, 6/133
Let k(a) be the third derivative of 1/6*a**4 - 13 - 6*a**2 - 5*a**3 + 1/30*a**5 + 0*a. Factor k(g).
2*(g - 3)*(g + 5)
Let i(u) be the third derivative of -686*u**6/15 - 1183*u**5/15 - 121*u**4/3 - 16*u**3/3 + 6*u**2 + 10. Solve i(l) = 0.
-4/7, -1/4, -2/49
Solve -155682/5 + 1114/5*g**2 - 154566/5*g - 2/5*g**3 = 0 for g.
-1, 279
Let g(u) be the second derivative of -u**6/135 + 23*u**5/90 + 25*u**4/54 - 23*u**3/27 - 8*u**2/3 - 776*u + 2. Determine r so that g(r) = 0.
-1, 1, 24
Suppose -3/2*d**2 - 81 + 63/2*d = 0. What is d?
3, 18
Let t be 49500/(-20625)*25/16*-2. Solve -5*p + 5/2*p**5 + 5/2*p**3 + 0 + 15/2*p**4 - t*p**2 = 0 for p.
-2, -1, 0, 1
Suppose -3*a + 389 = 5*v, v - 143 = -a + 2*v. Let z be 2/11 - a/759. Let 0 - 2*b**3 - 2/3*b**4 + 0*b + z*b**2 = 0. Calculate b.
-3, 0
Determine d, given that -145*d + 102 + 4*d**5 - 20*d**3 + 240*d**2 - 169 - 125 + 161*d - 11*d**4 - 37*d**4 = 0.
-2, -1, 1, 2, 12
Suppose -9*t + 13*t + 24 = 0. Let m(i) = -i**3 - 5*i**2 + 5*i - 3. Let b be m(t). Let -3*c**3 - 2*c**2 - 3*c - 3*c**b + 5*c**3 + 6*c = 0. Calculate c.
-3, 0, 1
Let r(p) = p + 257. Let x be r(34). Factor -3*m**2 + m**2 - x*m + 4 + 293*m.
-2*(m - 2)*(m + 1)
Suppose 54857 - 54835 = 11*g. Let t(u) be the second derivative of 2/3*u**3 - 4/7*u**g + 0 + 23*u + 5/21*u**4 - 4/35*u**5. Factor t(q).
-4*(q - 2)*(q + 1)*(4*q - 1)/7
Let u(d) = 22*d**2 + 783*d - 835. Let g(b) = 3*b**2 + 112*b - 119. Let z(o) = -15*g(o) + 2*u(o). What is y in z(y) = 0?
-115, 1
Let u = -1891/6612 + 23/116. Let v = 11/19 - u. Factor 4/9*m**2 + 0 + 0*m**4 + 0*m + 2/9*m**5 - v*m**3.
2*m**2*(m - 1)**2*(m + 2)/9
Let g be 492/(-41)*9/(-81). Let s be 0/((-2)/(-2)*-2). Factor 4*a**2 + s + 8/3*a + g*a**3.
4*a*(a + 1)*(a + 2)/3
Let r(k) be the first derivative of 5*k**4/4 + 20*k**3/3 - 550*k**2 - 2240*k + 2729. What is d in r(d) = 0?
-16, -2, 14
Let 44*j**4 - 56*j**3 + 167 - 240*j**2 + 224*j + 57 + 32 = 0. What is j?
-2, -8/11, 2
Let a(g) be the second derivative of g**5/10 + 14*g**4/3 + 47*g**3 + 198*g**2 - 1423*g. Suppose a(s) = 0. What is s?
-22, -3
Let z = -91 + 95. Suppose z*y - 10 + 41 = 3*x, 4*x + 2*y - 12 = 0. What is p in -42*p**4 + 2*p**3 + 97*p**3 - 12*p + 1622*p**5 - 1667*p**x = 0?
-2, -1/3, 0, 2/5, 1
Suppose -41*y - 2313 = -229*y - 809. Let k(n) be the first derivative of -28/3*n**3 - 4/5*n**5 - y + 5*n**4 + 0*n + 6*n**2. Factor k(w).
-4*w*(w - 3)*(w - 1)**2
Let h be (-11446)/23364 + (-12)/(-22). Let p(r) be the second derivative of -1/9*r**3 + 0 + h*r**4 + 0*r**2 - 12*r. Factor p(l).
2*l*(l - 1)/3
Factor -54/7*z + 36/7 - 2/7*z**3 + 20/7*z**2.
-2*(z - 6)*(z - 3)*(z - 1)/7
Factor 1668*t - 259308 + 371925*t**2 + 96*t - 371928*t**2.
-3*(t - 294)**2
Let n = 1836 - 1303. Let k = n + -2662/5. Find g such that -4/5 + g**2 - 1/5*g**4 + k*g**3 - 3/5*g = 0.
-1, 1, 4
Let a = -15 - -18. Suppose h + 0 - 4 = -3*f, 1 = -2*h + a*f. Determine c so that -5 + 9*c**4 + 3*c**5 + 6*c**3 - h + 6 = 0.
-2, -1, 0
Factor 1/2*m - 2/3 + 1/6*m**2.
(m - 1)*(m + 4)/6
Let n = 20 - 15. Suppose n*m - 26 + 11 = 0. Suppose -8*w**3 - 9*w**2 - 3*w**3 - w**m + 3*w = 0. What is w?
-1, 0, 1/4
Let a = -7764 - -7769. Let v(u) be the first derivative of 4/5*u**a - 10*u**2 - 8*u - 14 - 4/3*u**6 + 7*u**4 + 4/3*u**3. Let v(f) = 0. Calculate f.
-1, -1/2, 1, 2
Let m(h) be the third derivative of -4/27*h**3 + 2/9*h**4 + 0*h + 28*h**2 - 1/6*h**5 + 0 + 5/108*h**6. Factor m(o).
2*(o - 1)*(5*o - 2)**2/9
Suppose 5*w - 240 = -5*t, 0 = -4*w + 9*w + 4*t - 240. Let z be 4*8/w - (-38)/(-66). Find o such that 1/11*o**2 - z*o**3 + 4/11*o - 4/11 = 0.
-2, 1, 2
Let m = 299 + -295. Factor 5*f**m - 112*f**3 + 7*f**3 - 43*f**2 + 11*f**2 - 78*f**2.
5*f**2*(f - 22)*(f + 1)
Let m(a) be the second derivative of a**6/165 + 2*a**5/55 - a**4/33 - 4*a**3/11 + 9*a**2/11 + 1249*a. Factor m(p).
2*(p - 1)**2*(p + 3)**2/11
Let l(c) = c**3 + 2*c. Let m(y) = y. Let j be (((-56)/4)/(-42))/((-1)/(-18)). Let s(f) = j*m(f) - l(f). Solve s(i) = 0 for i.
-2, 0, 2
Let j(d) be the first derivative of d**4/18 + 6*d**3 + 80*d**2/9 - 9887. Solve j(l) = 0 for l.
-80, -1, 0
Factor 530 + 777*g + 0*g**3 - 507 - 188*g**2 - 1499 + 243*g + 4*g**3.
4*(g - 41)*(g - 3)**2
Let t(l) be the third derivative of 0 + 0*l**5 + 85*l + l**2 - 1/2184*l**8 + 0*l**3 - 1/260*l**6 + 4/1365*l**7 + 0*l**4. Determine b so that t(b) = 0.
0, 1, 3
Let t be (-2183)/(-74) + (-6)/(-4). Suppose 5*c + 3*h - 34 = 0, 2*h = -6*c + c + t. Factor -6/7*d**3 + 2/7*d**c + 0 - 4/7*d**2 + 0*d**4 + 0*d.
2*d**2*(d - 2)*(d + 1)**2/7
Factor 4*s**2 - 29*s - 2*s**2 + 4871051 - 4871347 - s**2.
(s - 37)*(s + 8)
Let g(u) be the first derivative of 0*u**3 + 4/7*u**5 + 0*u**2 - 3/14*u**4 - 42 + 0*u. What is c in g(c) = 0?
0, 3/10
Let l(g) = 2*g**2 + 7*g - 1. Let t be l(-5). Suppose 2*m = -5*r + t - 2, -r + 4 = 2*m. Find z such that 3/2*z - 3/2*z**3 + 3/2*z**r - 3/2 = 0.
-1, 1
Suppose 0 = -1761*j + 1765*j. Let d(w) be the third derivative of 0*w**5 - 1/1155*w**7 + 0*w**4 + 0 + 0*w + j*w**3 + 9*w**2 + 0*w**6. Factor d(c).
-2*c**4/11
Let n be (-247)/494*54/(-10). Let a(b) be the second derivative of n*b**5 + 3*b**3 - 2/3*b**6 - 23*b + 0 - 25/6*b**4 - b**2. What is q in a(q) = 0?
1/5, 1/2, 1
Suppose -15*u = -24*u + 19*u. Let f be (-6 - 82/(-14))/(-1*1). Solve 0*a - f*a**4 + 2/7*a**3 + u + 0*a**2 = 0.
0, 2
Factor 1556/7*b - 1558/7 + 2/7*b**2.
2*(b - 1)*(b + 779)/7
Let z(w) be the first derivative of -24 - 5/12*w**3 - 1/16*w**4 + 0*w + 0*w**2. Factor z(v).
-v**2*(v + 5)/4
Let c be ((-180)/20)/(-3 + 2). Factor 15*a**2 + 35*a**3 + a**4 - 10*a**3 - 32*a**3 - c*a.
a*(a - 3)**2*(a - 1)
Let g(i) be the second derivative of -2*i**6/75 - 69*i**5/25 - 96*i**4 - 1080*i**3 - 720*i - 1. Factor g(p).
-4*p*(p + 9)*(p + 30)**2/5
Let x(h) = h**2 - 2*h. Let k be x(2). Let c(o) = 65*o**2 - 2229*o + 649. Let j be c(34). Factor 0*y**2 + 0 + k*y**4 + 1/6*y**5 - 1/6*y**j + 0*y.
y**3*(y - 1)*(y + 1)/6
Let d(r) be the third derivative of -r**7/300 - r**6/30 - 29*r**5/300 - r**4/10 + 10*r**3 + 35*r**2 + r. Let z(s) be the first derivative of d(s). Factor z(c).
-2*(c + 1)*(c + 3)*(7*c + 2)/5
Let o(f) be the first derivative of -1/3*f**2 - 4/3*f + 2/9*f**3 - 11. Factor o(j).
2*(j - 2)*(j + 1)/3
Let z(k) = -k**2 - 14*k + 2. Let t be z(-14). Let n(g) be the first derivative of t*g**3 + 77 - 48 - 5*g**2 - 29*g**2 + 22*g. Find m such that n(m) = 0.
1/3, 11
Solve -2276/7*l**2 - 200/7*l**3 + 6032/7*l + 8112/7 - 4/7*l**4 = 0.
-26, -1, 3
Let h(n) = 5*n**3 + 14*n**2 - 2. Let b(l) = -l**3. Let d(m) = -4*b(m) - h(m). Let o be d(-14). Factor -21 + 2*a**o + 38 - 21 + 2*a.
2*(a - 1)*(a + 2)
Let o = 2/2113 - -329618/10565. Suppose 4*h + 3*m = -7, 0 = h - 2*m - 25 + 13. Find z such that 62/5*z**h - 18*z**4 + o*z**3 - 24/5*z - 8/5 = 0.
-1/3, 2/5, 2
Let b(p) be the third derivative of -4*p**2 + 7/60*p**5 + 0*p**4 + 0 + 0*p**3 + 1/2352*p**8 + 3/40*p**6 + 1/98*p**7 - 3*p. Find o such that b(o) = 0.
-7, -1, 0
Let x(d) be the third derivative of d**7/1155 - 2*d**6/33 + 299*d**5/165 - 30*d**4 + 297*d**3 + 2110*d**2. Factor x(p).
2*(p - 11)**2*(p - 9)**2/11
Let n(f) be the third derivative of -f**8/36960 + f**7/13860 + 5*f**4/12 + 69*f**2. Let s(t) be the second derivative of n(t). Factor s(j).
-2*j**2*(j - 1)/11
Let k(c) be the first derivative of c**6/600 + c**5/30 + 5*c**4/24 - c**2 + c + 115. Let t(a) be the second derivative of k(a). Factor t(z).
z*(z + 5)**2/5
Let z = 8896850 + 1410414. Solve -2*m**5 - 9680*m**3 + 116625*m**2 + z + 96335*m**2 + 317*m**4 - 2342560*m - 97*m**4 = 0 for m.
22
Let l(p) be the first derivative of p**7/2520 + p**6/216 + p**5/60 + 163*p**3/3 + 114. Let m(q) be the third derivative of l(q). Factor m(x).
x*(x + 2)*(x + 3)/3
Suppose a + 12 = 2*a - 3*t, 3*a - 3*t = 12. Suppose 191*r - 201*r = -20. Factor -q**2 + 105*q + a*q**r - 101*q.
-q*(q - 4)
Let l(m) be the third derivative of m**6/60 - 29*m**5/30 + 13*m**4/6 + 56*m**3/3 - m**2 - 82. Suppose l(a) = 0. What is a?
-1, 2, 28
Let z = 8118/35 - 1149/5. Suppose 2422*j + 531 = 2599*j. Factor z*r**2 + 9/7 - 3/7*r**3 - j*r.
-3*(r - 3)*(r - 1)**2/7
Suppose i - j = 9, 11 = -5*i - 2*j + 7. Let c be (-795)/(-9) + -4 + 1. Solve -c*x**i +