r b(o).
-2*(o - 178)**3/13
Let u(v) be the second derivative of -2/3*v**3 + 0 + 18*v - 2*v**2 + 1/5*v**5 + 1/3*v**4. Determine n so that u(n) = 0.
-1, 1
Let n(m) = m**5 + 2*m**3 - 2*m**2 + m + 2. Let a(w) = -w**4 + w**3 + w + 1. Let r(k) = 2*a(k) - n(k). Determine h, given that r(h) = 0.
-1, 0, 1
Suppose -k + 1 = -4*b - 3, 0 = -5*b - 5. Suppose 5*w - 2 - 8 = k. Let -10/7*c**4 + 2*c**5 + 0*c - 4/7*c**3 + 0 + 0*c**w = 0. What is c?
-2/7, 0, 1
Determine y, given that 159*y**2 - 13792*y + 32*y**2 + 169*y**2 - 5*y**3 + 5152*y + 69120 = 0.
24
Let l(v) be the third derivative of -25/44*v**4 + 125/33*v**3 + 1/22*v**5 + 8*v**2 + 0*v - 1/660*v**6 + 0. Let l(g) = 0. Calculate g.
5
Let c = 11736 + -11712. Suppose -c - 3/2*y**2 - 12*y = 0. What is y?
-4
Suppose 4*q + 10 = -z - 6, 3*q + 15 = 0. Suppose z*g - 6*g - 11 = 3*f, 4*g + f = 3. Factor -12*h**2 - 8*h - 5*h**3 - 3*h**3 + 0*h - 2*h**4 - g.
-2*(h + 1)**4
Let g(m) be the second derivative of -m**4/20 - 19*m**3/10 - 62*m. Factor g(n).
-3*n*(n + 19)/5
Let l(h) be the third derivative of -h**6/300 + 3*h**5/100 - h**4/30 - 69*h**2. Determine w so that l(w) = 0.
0, 1/2, 4
Let p(i) be the second derivative of -i**8/3360 - i**7/1260 + 11*i**4/12 - 22*i. Let t(k) be the third derivative of p(k). Determine u so that t(u) = 0.
-1, 0
Let x be 2/2*(-10 - (16 + -26)). Factor x + 1/2*v**3 + 5/2*v + 3*v**2.
v*(v + 1)*(v + 5)/2
Let m(a) = -9*a**5 + 14*a**4 + 4*a**3 - 4*a + 4. Let v(n) = -80*n**5 + 125*n**4 + 35*n**3 - 35*n + 35. Let q(y) = 35*m(y) - 4*v(y). Factor q(u).
5*u**4*(u - 2)
Suppose -4*o + 2 = -5*k - 0, 0 = -k - 5*o + 17. Let i be 6622/3234 + (-5)/7. Let 2/3*u + i - 2/3*u**k = 0. Calculate u.
-1, 2
Suppose 0 = m + 3*k - 15, 2*m = 8*k - 7*k + 2. Let i(s) be the second derivative of -1/2*s**3 + m*s**2 + 7*s - 1/2*s**4 + 3/20*s**5 + 0. Factor i(z).
3*(z - 2)*(z - 1)*(z + 1)
Let r(m) be the second derivative of -m**6/255 - 6*m**5/85 - 11*m**4/102 - 140*m. Factor r(u).
-2*u**2*(u + 1)*(u + 11)/17
Let c(h) = -190*h**3 - 1025*h**2 - 2295*h - 1350. Let z(y) = 7*y**3 + 38*y**2 + 85*y + 50. Let f(r) = -2*c(r) - 55*z(r). Determine d so that f(d) = 0.
-5, -2, -1
Let o be 30/(-20)*3*2/(-3). Determine s so that -7203/5*s**5 + 1029/5*s**4 - 2856/5*s**2 + 624/5*s - 48/5 + 4704/5*s**o = 0.
-1, 2/7
Let n be -5*(-2)/60*1/2. Let w(o) be the second derivative of 1/30*o**6 - 1/10*o**5 + 1/3*o**3 + 0 - n*o**4 + 0*o**2 - 7*o. Let w(x) = 0. Calculate x.
-1, 0, 1, 2
Let a = -2/495 - -36139/990. Let g = 38 - a. Solve h - 1/4 + h**3 - g*h**2 - 1/4*h**4 = 0.
1
Let m(y) = -y**2 + 29*y + 392. Let z be m(-10). Factor -3/4*s**z + 1 + s.
-(s - 2)*(3*s + 2)/4
Let o(x) = -2*x**3 + 3*x**2 + 12*x + 7. Let u(y) = -y**2 - 1. Let n be u(0). Let r(s) = -s**3 - s**2 + s + 1. Let l(f) = n*o(f) + 6*r(f). What is p in l(p) = 0?
-1, -1/4
Let p(v) be the third derivative of 10*v**7/63 - 13*v**6/18 + 7*v**5/15 + 17*v**4/18 + 4*v**3/9 - 7*v**2. Determine g so that p(g) = 0.
-1/5, 1, 2
Solve 15655*z**2 + 192356 + 51353 + 11843 + 2187*z**3 + 117659*z + 39157*z + 16421*z**2 = 0.
-44/9
Let a(v) be the third derivative of -2/15*v**3 + 0*v + 9*v**2 + 0 + 1/50*v**5 - 1/60*v**4. Determine l, given that a(l) = 0.
-2/3, 1
Let n(c) be the third derivative of c**5/45 + 2*c**4/3 - 26*c**3/9 + 60*c**2. Factor n(m).
4*(m - 1)*(m + 13)/3
Let k(d) be the third derivative of d**5/100 + 13*d**4/40 + 6*d**3/5 - 3*d**2 + 21*d. Determine u, given that k(u) = 0.
-12, -1
Let j(c) = 25*c - 96. Let d be j(4). Let h(a) be the third derivative of 0*a + 1/150*a**5 + 7*a**2 + 0 - 1/300*a**6 - 1/15*a**3 + 1/60*a**d. Factor h(p).
-2*(p - 1)**2*(p + 1)/5
Let k(v) be the second derivative of -5*v - 1/210*v**5 - 1/21*v**4 + 0 - 4*v**2 - 4/21*v**3. Let g(x) be the first derivative of k(x). Factor g(t).
-2*(t + 2)**2/7
Let s(v) be the first derivative of -v**4/14 - 4*v**3/3 - 60*v**2/7 - 144*v/7 + 153. Factor s(d).
-2*(d + 2)*(d + 6)**2/7
Let j(v) be the second derivative of 0 + 0*v**3 + 0*v**4 - 2*v - 1/10*v**5 + 2/15*v**6 - 1/21*v**7 + 0*v**2. Factor j(h).
-2*h**3*(h - 1)**2
Let t(i) be the third derivative of -2/945*i**7 - 1/270*i**6 - 2/27*i**3 + 1/1512*i**8 + 0*i + 2/135*i**5 + 5*i**2 + 1/108*i**4 + 0. Solve t(x) = 0.
-1, 1, 2
Let c(h) = -3*h**3 + 2*h**2 - 1. Let q be c(1). Let b be (-4)/q + 1 + 20. Factor -12*v**3 + 5*v - 3 - v**2 - 12*v**3 + b*v**3.
-(v - 1)**2*(v + 3)
Let y = -1453 - -1453. Let l(f) be the second derivative of -1/4*f**2 - 1/60*f**6 + 1/12*f**4 + f + 0 + y*f**3 + 0*f**5. Suppose l(c) = 0. What is c?
-1, 1
Let j(t) be the second derivative of 2/27*t**3 - 1/189*t**7 + 0*t**2 + 1/45*t**6 - 1/90*t**5 + 0 + 4*t - 1/18*t**4. Let j(x) = 0. Calculate x.
-1, 0, 1, 2
Let o be 12/6 + 2/(-2). What is z in 5*z**4 + 754*z**5 - 1 + o + 5*z**3 - 764*z**5 = 0?
-1/2, 0, 1
Factor 28 - 4*a**3 - 19*a - 31*a + 36*a**2 - 10*a.
-4*(a - 7)*(a - 1)**2
Factor -8*m**2 + m**2 - 9*m**3 + 2*m**2 + 8*m**3 - m**2 - 11*m - 6.
-(m + 1)*(m + 2)*(m + 3)
Let f(n) be the first derivative of 32/9*n**2 + 8 + 0*n + 2/45*n**5 + 0*n**3 - 1/3*n**4. Find u such that f(u) = 0.
-2, 0, 4
Let n(c) = -2*c**4 + c**3 + c**2 + 2*c. Let l(j) = -13*j**4 + 10*j**3 + 6*j**2 + 5*j + 2. Let f(d) = l(d) - 5*n(d). Factor f(w).
-(w - 1)**2*(w + 1)*(3*w - 2)
Let m(s) = 2*s**2 + s. Let v be m(1). Let k = 151 - 579/4. Determine t, given that -27/2*t**2 - t**4 - 11*t - 2 - k*t**v = 0.
-2, -1/4
Let z(w) be the third derivative of w**8/728 - 19*w**7/1365 - 19*w**6/390 - 8*w**5/195 + 43*w**2. Find q such that z(q) = 0.
-1, -2/3, 0, 8
Suppose 2*b + 2*b - 12 = 0. Suppose -5*f = -t - 27, 5*f - 11 = 4*f + b*t. Solve 7*h**4 - 2*h**5 - h**4 - 3*h**2 - f - h**2 + 6*h - 4*h**3 + 3 = 0.
-1, 1
Let c(f) = f**2 - 81*f - 103. Let n(b) = -b**2 + 41*b + 51. Let i(d) = 3*c(d) + 7*n(d). Let i(m) = 0. Calculate m.
-1, 12
Suppose 54*t = 47*t - 7. Let x be 3/42*t*(-15 + 9). Factor -x*h**3 - 9/7*h - 12/7*h**2 + 0.
-3*h*(h + 1)*(h + 3)/7
Let i(z) = 5*z**3 + 14*z**2 - 137*z + 186. Let j(w) = 3*w**3 + 6*w**2 - 69*w + 92. Let g(s) = -4*i(s) + 7*j(s). Let g(p) = 0. Calculate p.
4, 5
Factor -83*i**5 + 15*i**3 - 20*i + 78*i**5 - 10*i**4 + 4*i**2 - i**2 + 17*i**2.
-5*i*(i - 1)**2*(i + 2)**2
Factor -14*l**3 + 0*l + 64/3*l**2 + 0 + 5/3*l**4.
l**2*(l - 2)*(5*l - 32)/3
Let t be ((-12)/(-90))/(16/6). Let d = 1/4 - t. Factor -x**2 + d*x**3 + 8/5*x - 4/5.
(x - 2)**2*(x - 1)/5
Let r = 52 - 81. Let f = r - -51. Solve -o**4 + 24*o + 2*o**4 - f*o - o**2 - 2*o**3 = 0 for o.
-1, 0, 1, 2
Let b be -22*(1 + 6/(-4)). Suppose 4*v = u - 4*u + 11, 0 = -2*u - 2*v + 8. Factor -5*x - 13*x**2 + 2 + b*x**2 + u*x.
-2*(x - 1)*(x + 1)
Suppose 0 = 16*n - 114 + 82. Factor 2/19*w**3 + 0 + 0*w**n + 0*w.
2*w**3/19
Let i(j) = -j - 14. Let x be i(-18). Suppose 6*h - 10*h + 14 = m, -x*h = -12. Factor -4/9*o**m + 2/3*o + 4/9.
-2*(o - 2)*(2*o + 1)/9
Suppose -10*s + 72 + 48 = 0. Let p be (-16)/(-6) - (116/s + -9). Factor 5*y + 25/2 + 1/2*y**p.
(y + 5)**2/2
Let h(q) = q**2 + 2*q - 15. Let l be h(11). Factor -20*n**5 + l*n**2 - 18*n + 34 + 35 + 88*n**4 - 152*n**3 - 34*n - 61.
-4*(n - 1)**4*(5*n - 2)
Factor 0 + 2/13*w**4 - 6/13*w**3 - 8/13*w**2 + 0*w.
2*w**2*(w - 4)*(w + 1)/13
Suppose 3*g = -2*g + 10. Factor -20 + 16*d - 4*d**g + 4*d**2 + 0*d**2 + 4*d**2.
4*(d - 1)*(d + 5)
Determine a, given that -3*a**3 - 9393*a**2 - a**3 - 396*a - 324 + 9317*a**2 = 0.
-9, -1
Suppose 162 = 49*o + 5*o. Let 5/4*z**2 + 1 + 1/4*z**o + 2*z = 0. Calculate z.
-2, -1
Let o be (-26)/156 + (-125)/(-30). Determine l so that -13/7*l**3 + 0 + 20/7*l**2 - 30/7*l**o - 4/7*l - 9/7*l**5 = 0.
-2, 0, 1/3
Let w be ((-20)/35)/(((-16)/14)/4). Let o(z) be the second derivative of 1/2*z**w + 1/3*z**3 + 5*z + 0 + 1/12*z**4. Let o(x) = 0. Calculate x.
-1
Let p(j) be the first derivative of -j**3/24 - j**2 - 6*j - 325. Find u, given that p(u) = 0.
-12, -4
Let h = 10257 - 10227. What is i in -5/2*i**2 - 90 + h*i = 0?
6
Let s(r) = -r**3 + 14*r**2 + 5*r - 68. Let z be s(14). Factor 8/7*q**z + 0 + 12/7*q - 4/7*q**3.
-4*q*(q - 3)*(q + 1)/7
Let t(c) be the second derivative of -c**7/168 - c**6/24 - 3*c**5/40 + c**4/24 + 7*c**3/24 + 3*c**2/8 + 18*c + 2. Determine s, given that t(s) = 0.
-3, -1, 1
Let x(v) = 25*v - 21. Let s be x(1). Let j(n) be the third derivative of 0*n**3 - 1/40*n**5 - 1/8*n**s + 1/80*n**6 + 0*n + 0 + 3*n**2. Solve j(a) = 0.
-1, 0, 2