lve s(i) = 0.
-1, 0, 1
Let v(n) be the first derivative of -n**3/6 - 351*n**2/4 + 353*n - 2980. Find y such that v(y) = 0.
-353, 2
Let t(u) be the third derivative of -u**7/42 + 16*u**6/3 - 615*u**5/2 - 16415*u**4/3 - 112225*u**3/6 - 9271*u**2. Determine s, given that t(s) = 0.
-5, -1, 67
Let l(b) be the third derivative of -3*b**5/25 + 17*b**4/15 + 86*b**3/15 - 8316*b**2. Let l(k) = 0. Calculate k.
-1, 43/9
Let f = 1467874 + -1467871. Suppose 51*n - 36/7*n**2 + 1/7*n**f - 578/7 = 0. What is n?
2, 17
Let y(h) be the second derivative of 21*h**5/100 + 363*h**4/20 + 61*h**3/2 - 153*h**2/10 - 31*h + 19. Solve y(k) = 0 for k.
-51, -1, 1/7
Let p(f) be the first derivative of f**2 - 12*f + 4*f**3 + 31 - 1/2*f**4. Factor p(w).
-2*(w - 6)*(w - 1)*(w + 1)
Let j be 128/(-40)*-5*(-6)/(-36). Let f(l) be the third derivative of -5/6*l**4 + 15*l**2 + 1/15*l**5 + j*l**3 + 0*l + 0. Let f(v) = 0. What is v?
1, 4
Let t(y) = -y - 7. Let c be t(-9). Let a be 1875/525 - 1/(14/8). Factor -n**3 + 0*n**a - 39*n**c - 13*n**3 - n**3 + 18*n.
-3*n*(n + 3)*(5*n - 2)
Let t = -1/620072 - -4960581/3100360. Suppose t + 6/5*n**5 + 42/5*n**2 - 14/5*n**3 - 2*n**4 - 32/5*n = 0. What is n?
-2, 2/3, 1
Let y(a) = a**5 - 96*a**4 + 2396*a**3 + 5102*a**2 + 2601*a + 4. Let z(r) = 2*r**4 - r**3 + r**2 + 2. Let g(n) = -y(n) + 2*z(n). Determine p so that g(p) = 0.
-1, 0, 51
Let v(r) be the first derivative of 49 + 1/15*r**3 + 1156/5*r - 34/5*r**2. Suppose v(a) = 0. Calculate a.
34
Let i(u) be the first derivative of 3*u**3/4 - 2*u**2 - 25*u/4 - 2147. Let i(d) = 0. What is d?
-1, 25/9
Suppose -616/5*p + 4/5*p**3 + 0 - 12/5*p**2 = 0. Calculate p.
-11, 0, 14
Factor 12372*n - 2190 - 6*n**2 - 249 + 3*n**2 - 14814*n.
-3*(n + 1)*(n + 813)
Let w(n) = 13*n**2 + 13*n. Let t(x) = 0 + 0 + 19*x**2 + 19*x. Let l = 1019 + -1014. Let u(p) = l*t(p) - 7*w(p). Factor u(k).
4*k*(k + 1)
Let p(a) = -13*a**3 + 573*a**2 - 1084*a + 4. Let x(k) = -363*k**3 + 16044*k**2 - 30351*k + 114. Let f(l) = 57*p(l) - 2*x(l). Factor f(u).
-3*u*(u - 2)*(5*u - 181)
Let m(n) = -n**3 + 22*n**2 + 10*n - 36. Let p(g) = -20*g**2 - 8*g + 32. Let i(a) = 4*m(a) + 5*p(a). Factor i(w).
-4*(w - 1)*(w + 2)**2
Let l(w) be the first derivative of -w**5/10 - 15*w**4/4 + 16*w**3/3 + 15*w**2/2 - 31*w/2 - 279. Factor l(m).
-(m - 1)**2*(m + 1)*(m + 31)/2
Let 22*l**2 + 40/3*l**3 + 2/3*l**4 + 0 - 36*l = 0. What is l?
-18, -3, 0, 1
Let k = -55997 - -112015/2. Let k*n**3 + 9/2*n**4 + 0 - 3*n - 9/2*n**2 - 15/2*n**5 = 0. What is n?
-1, -2/5, 0, 1
Suppose 0 = -13*w + 2*w + 22. Suppose -4*t + 12*t**2 - 30*t**2 - 6*t - 4 + 14*t**w = 0. What is t?
-2, -1/2
Let a(f) be the first derivative of -3*f**4 + 236*f**3/3 - 280*f**2 + 272*f - 3128. Factor a(r).
-4*(r - 17)*(r - 2)*(3*r - 2)
Let g(p) be the third derivative of -p**7/840 - 33*p**6/80 - 197*p**5/240 - 1726*p**2 - 1. Factor g(l).
-l**2*(l + 1)*(l + 197)/4
Let u(x) be the third derivative of -x**7/840 + 7*x**6/120 + 29*x**5/240 - 4*x**2 - 4. Solve u(i) = 0.
-1, 0, 29
Let v(o) be the first derivative of o**6/24 - o**5/10 - 5*o**4/4 + 31*o**3/6 - 61*o**2/8 + 5*o + 2696. Factor v(c).
(c - 4)*(c - 1)**3*(c + 5)/4
Let r be (0/(-1))/((-41 + 29)/6). Let q(y) be the second derivative of r - 3*y + 1/48*y**4 + y**2 - 1/4*y**3. Factor q(t).
(t - 4)*(t - 2)/4
Let z(q) be the second derivative of -q**6/210 + q**5/28 - 2*q**4/21 + 2*q**3/21 + 421*q. Suppose z(n) = 0. Calculate n.
0, 1, 2
Let r(i) be the third derivative of 7*i**5/30 - 299*i**4/12 - 86*i**3/3 + 117*i**2 - 6. Factor r(g).
2*(g - 43)*(7*g + 2)
Let m = -3/351329 - -1405325/1053987. Determine w, given that -2*w**4 + m*w**2 + 2/3 + 2/3*w**5 + 4/3*w**3 - 2*w = 0.
-1, 1
Suppose -j + 1 = -p - 1, 5*j - 20 = -5*p. Determine x, given that 31 + 16*x**2 - 25*x + 2*x**2 - 23*x**2 - p = 0.
-6, 1
Factor 9*z**4 + 7*z**4 + 243*z + 45*z**4 - 75*z**3 + 11*z**4 + 171*z**2 - 75*z**4.
-3*z*(z - 3)*(z + 1)*(z + 27)
Let c(y) be the first derivative of 40 + 21/2*y**2 + 24*y - y**3. Factor c(x).
-3*(x - 8)*(x + 1)
Let p(u) = u**2 + 28*u + 183. Let c be p(-13). Let g be (c/36)/(1/(-9)). Suppose 1/4*x**g - 3/4*x + 0*x**2 - 1/2 = 0. What is x?
-1, 2
Let r(s) be the second derivative of -s**7/14 + 2*s**6/5 + 33*s**5/20 + 3*s**4/2 - 771*s. Factor r(c).
-3*c**2*(c - 6)*(c + 1)**2
Let l(r) be the third derivative of 3*r - 1/150*r**5 + 11/30*r**4 - 40*r**2 + 0 - 7/5*r**3. Find f, given that l(f) = 0.
1, 21
Suppose 5 + 79 = 32*g + 11*g - 15*g. Solve 3/5*b**4 + 16/5*b + 0 + 52/5*b**g + 13*b**2 = 0.
-16, -1, -1/3, 0
Let m(d) be the third derivative of -1/330*d**5 + 0*d + 0 - 7/132*d**4 - 9*d**2 - 2/11*d**3. Let m(k) = 0. What is k?
-6, -1
Suppose 0 = 3*p - 3*x + 4*x - 243, 0 = -x. Solve -66*j**3 - 122*j**2 - 34*j**4 - p - j**5 - 189*j + 21*j**4 + 48*j**2 - 88*j**2 = 0 for j.
-3, -1
Determine z, given that -82*z**3 + 75064*z**5 - 17*z**3 - 101*z**2 - 34*z - 31*z**4 - 75063*z**5 = 0.
-1, 0, 34
Suppose -14*h = 73 - 101. Let i be (-6)/h*((-352)/(-84))/(-11). Factor 18/7*m**2 - i*m**3 + 2/7 - 12/7*m.
-2*(m - 1)**2*(4*m - 1)/7
Let p(n) be the third derivative of -n**8/2688 - 13*n**7/840 - 233*n**6/960 - 11*n**5/6 - 25*n**4/4 - 1537*n**2. Determine z so that p(z) = 0.
-12, -5, -4, 0
Let c(q) be the first derivative of -196*q**2 + 9604*q + 4/3*q**3 - 28. Find n, given that c(n) = 0.
49
Suppose -1359*x + 517*x = -2526. Suppose 86/9*z - 44/9*z**2 + 2/3*z**x - 8/3 = 0. What is z?
1/3, 3, 4
Suppose -3*b - 14 = -4*v, 0*b + 4*v + 28 = -4*b. Let r be ((-1)/(-2))/((-1)/b). Factor 7 - 9*u + r - 5*u**3 + 16*u + 8*u.
-5*(u - 2)*(u + 1)**2
Let -32/3 + 22/9*q**4 + 64/9*q + 64/9*q**2 - 8*q**3 - 2/9*q**5 = 0. Calculate q.
-1, 2, 6
Let p be 4/44 + 126/308. Factor 1/2 - 1/4*d**5 - p*d**2 + 0*d**4 + d**3 - 3/4*d.
-(d - 1)**3*(d + 1)*(d + 2)/4
Let o be (-7 - 1) + 2 + 33. Factor 24*w**2 + 5 + 10*w - o*w**2 - w + 7.
-3*(w - 4)*(w + 1)
Let 758/5*x**2 + 0 + 2/5*x**3 + 0*x = 0. What is x?
-379, 0
Let x(p) be the first derivative of -p**5 - 145*p**4/4 - 450*p**3 - 2160*p**2 - 4320*p + 2255. Factor x(v).
-5*(v + 2)*(v + 3)*(v + 12)**2
Let r(d) be the first derivative of -d**4/9 - 152*d**3/9 - 2888*d**2/3 - 30*d - 142. Let f(a) be the first derivative of r(a). Factor f(j).
-4*(j + 38)**2/3
Suppose 0 = 4*n - 2*r, 0*n = -n - 4*r - 9. Let t be 1/(4/12)*(n - -2). Factor 0 + 0*h - 3/7*h**5 - 3/7*h**2 + 3/7*h**t + 3/7*h**4.
-3*h**2*(h - 1)**2*(h + 1)/7
Let h(q) = 2*q**2 - 3*q + 2. Let f be h(0). Factor -8*y**f + 30*y + 11*y**2 + 2*y**2 - 2*y**2.
3*y*(y + 10)
Let l(j) be the first derivative of -2*j**3/27 + 8*j**2/3 - 24*j + 239. Determine p so that l(p) = 0.
6, 18
Let i(r) be the third derivative of -211*r**7/945 - 847*r**6/540 - 428*r**5/135 - r**4/9 + 4*r**2 + 79*r - 15. Find q such that i(q) = 0.
-2, -3/211, 0
Factor 78*q**2 + 33*q + 263 + 50*q**2 - 430*q + 1341 - 129*q**2.
-(q - 4)*(q + 401)
Let z(p) be the third derivative of -p**6/40 - 2*p**5 - 73*p**4/8 + 57*p**3 + 1167*p**2. What is g in z(g) = 0?
-38, -3, 1
Solve 1218324 + 5990*j - 895495 + 5*j**2 + 1471176 + 0*j**2 = 0.
-599
Let w = 30519 + -30514. Let s(n) be the third derivative of -3/5*n**4 - 1/75*n**w + 2 + 0*n - 54/5*n**3 - 3*n**2. What is p in s(p) = 0?
-9
Factor -18 - 43364*r**2 - 10952*r**3 + 3543/2*r.
-(r + 4)*(148*r - 3)**2/2
Let d(f) be the second derivative of -f**6/540 - 17*f**5/270 - 4*f**4/27 + 127*f**2/2 + 146*f. Let n(b) be the first derivative of d(b). Factor n(i).
-2*i*(i + 1)*(i + 16)/9
Let t(u) be the second derivative of -5*u**8/336 - u**7/21 + u**5/6 + 5*u**4/24 + 38*u**2 - 11*u. Let q(h) be the first derivative of t(h). Factor q(i).
-5*i*(i - 1)*(i + 1)**3
Let h(z) be the second derivative of z**6/40 + 33*z**5/16 + 147*z**4/8 - 4*z**3 - 588*z**2 + 231*z - 1. Determine m so that h(m) = 0.
-49, -4, 2
Let z(i) be the third derivative of 0*i + 56*i**2 + 0 - 16/9*i**3 - 5/18*i**4 + 7/90*i**5 + 1/180*i**6. Factor z(u).
2*(u - 2)*(u + 1)*(u + 8)/3
Determine f so that 3/4*f**2 + 1365/4 + 54*f = 0.
-65, -7
Let v(z) = 3*z**2 + 11*z + 24. Let w be v(-3). Find r, given that -146 + 6*r**2 - r**2 + w - 7*r**2 + 32*r = 0.
8
Suppose 0 = 60*u - 36*u - 24. Let j(v) = 4*v**2 - v. Let n be j(u). Factor -23826*g**4 + 34257/2*g**n + 366*g - 12 - 3945*g**2 + 20577/2*g**5.
3*(g - 1)**2*(19*g - 2)**3/2
Let v = -10548 - -42197/4. Factor -1/4*j**2 - 3/2*j - v.
-(j + 1)